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./openssl/crypto/asn1/a_sign.c | /*
* Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include <time.h>
#include <sys/types.h>
#include "internal/cryptlib.h"
#include <openssl/bn.h>
#include <openssl/evp.h>
#include <openssl/x509.h>
#include <openssl/objects.h>
#include <openssl/buffer.h>
#include <openssl/core_names.h>
#include "crypto/asn1.h"
#include "crypto/evp.h"
#ifndef OPENSSL_NO_DEPRECATED_3_0
int ASN1_sign(i2d_of_void *i2d, X509_ALGOR *algor1, X509_ALGOR *algor2,
ASN1_BIT_STRING *signature, char *data, EVP_PKEY *pkey,
const EVP_MD *type)
{
EVP_MD_CTX *ctx = EVP_MD_CTX_new();
unsigned char *p, *buf_in = NULL, *buf_out = NULL;
int i, inl = 0, outl = 0;
size_t inll = 0, outll = 0;
X509_ALGOR *a;
if (ctx == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_EVP_LIB);
goto err;
}
for (i = 0; i < 2; i++) {
if (i == 0)
a = algor1;
else
a = algor2;
if (a == NULL)
continue;
if (type->pkey_type == NID_dsaWithSHA1) {
/*
* special case: RFC 2459 tells us to omit 'parameters' with
* id-dsa-with-sha1
*/
ASN1_TYPE_free(a->parameter);
a->parameter = NULL;
} else if ((a->parameter == NULL) ||
(a->parameter->type != V_ASN1_NULL)) {
ASN1_TYPE_free(a->parameter);
if ((a->parameter = ASN1_TYPE_new()) == NULL)
goto err;
a->parameter->type = V_ASN1_NULL;
}
ASN1_OBJECT_free(a->algorithm);
a->algorithm = OBJ_nid2obj(type->pkey_type);
if (a->algorithm == NULL) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_UNKNOWN_OBJECT_TYPE);
goto err;
}
if (a->algorithm->length == 0) {
ERR_raise(ERR_LIB_ASN1,
ASN1_R_THE_ASN1_OBJECT_IDENTIFIER_IS_NOT_KNOWN_FOR_THIS_MD);
goto err;
}
}
inl = i2d(data, NULL);
if (inl <= 0) {
ERR_raise(ERR_LIB_ASN1, ERR_R_INTERNAL_ERROR);
goto err;
}
inll = (size_t)inl;
buf_in = OPENSSL_malloc(inll);
outll = outl = EVP_PKEY_get_size(pkey);
buf_out = OPENSSL_malloc(outll);
if (buf_in == NULL || buf_out == NULL) {
outl = 0;
goto err;
}
p = buf_in;
i2d(data, &p);
if (!EVP_SignInit_ex(ctx, type, NULL)
|| !EVP_SignUpdate(ctx, (unsigned char *)buf_in, inl)
|| !EVP_SignFinal(ctx, (unsigned char *)buf_out,
(unsigned int *)&outl, pkey)) {
outl = 0;
ERR_raise(ERR_LIB_ASN1, ERR_R_EVP_LIB);
goto err;
}
ASN1_STRING_set0(signature, buf_out, outl);
buf_out = NULL;
/*
* In the interests of compatibility, I'll make sure that the bit string
* has a 'not-used bits' value of 0
*/
ossl_asn1_string_set_bits_left(signature, 0);
err:
EVP_MD_CTX_free(ctx);
OPENSSL_clear_free((char *)buf_in, inll);
OPENSSL_clear_free((char *)buf_out, outll);
return outl;
}
#endif
int ASN1_item_sign(const ASN1_ITEM *it, X509_ALGOR *algor1, X509_ALGOR *algor2,
ASN1_BIT_STRING *signature, const void *data,
EVP_PKEY *pkey, const EVP_MD *md)
{
return ASN1_item_sign_ex(it, algor1, algor2, signature, data, NULL, pkey,
md, NULL, NULL);
}
int ASN1_item_sign_ex(const ASN1_ITEM *it, X509_ALGOR *algor1,
X509_ALGOR *algor2, ASN1_BIT_STRING *signature,
const void *data, const ASN1_OCTET_STRING *id,
EVP_PKEY *pkey, const EVP_MD *md, OSSL_LIB_CTX *libctx,
const char *propq)
{
int rv = 0;
EVP_MD_CTX *ctx = evp_md_ctx_new_ex(pkey, id, libctx, propq);
if (ctx == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_EVP_LIB);
return 0;
}
/* We can use the non _ex variant here since the pkey is already setup */
if (!EVP_DigestSignInit(ctx, NULL, md, NULL, pkey))
goto err;
rv = ASN1_item_sign_ctx(it, algor1, algor2, signature, data, ctx);
err:
EVP_PKEY_CTX_free(EVP_MD_CTX_get_pkey_ctx(ctx));
EVP_MD_CTX_free(ctx);
return rv;
}
int ASN1_item_sign_ctx(const ASN1_ITEM *it, X509_ALGOR *algor1,
X509_ALGOR *algor2, ASN1_BIT_STRING *signature,
const void *data, EVP_MD_CTX *ctx)
{
const EVP_MD *md;
EVP_PKEY *pkey;
unsigned char *buf_in = NULL, *buf_out = NULL;
size_t inl = 0, outl = 0, outll = 0;
int signid, paramtype, buf_len = 0;
int rv, pkey_id;
md = EVP_MD_CTX_get0_md(ctx);
pkey = EVP_PKEY_CTX_get0_pkey(EVP_MD_CTX_get_pkey_ctx(ctx));
if (pkey == NULL) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_CONTEXT_NOT_INITIALISED);
goto err;
}
if (pkey->ameth == NULL) {
EVP_PKEY_CTX *pctx = EVP_MD_CTX_get_pkey_ctx(ctx);
OSSL_PARAM params[2];
unsigned char aid[128];
size_t aid_len = 0;
if (pctx == NULL
|| !EVP_PKEY_CTX_IS_SIGNATURE_OP(pctx)) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_CONTEXT_NOT_INITIALISED);
goto err;
}
params[0] =
OSSL_PARAM_construct_octet_string(OSSL_SIGNATURE_PARAM_ALGORITHM_ID,
aid, sizeof(aid));
params[1] = OSSL_PARAM_construct_end();
if (EVP_PKEY_CTX_get_params(pctx, params) <= 0)
goto err;
if ((aid_len = params[0].return_size) == 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_DIGEST_AND_KEY_TYPE_NOT_SUPPORTED);
goto err;
}
if (algor1 != NULL) {
const unsigned char *pp = aid;
if (d2i_X509_ALGOR(&algor1, &pp, aid_len) == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_INTERNAL_ERROR);
goto err;
}
}
if (algor2 != NULL) {
const unsigned char *pp = aid;
if (d2i_X509_ALGOR(&algor2, &pp, aid_len) == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_INTERNAL_ERROR);
goto err;
}
}
rv = 3;
} else if (pkey->ameth->item_sign) {
rv = pkey->ameth->item_sign(ctx, it, data, algor1, algor2, signature);
if (rv == 1)
outl = signature->length;
/*-
* Return value meanings:
* <=0: error.
* 1: method does everything.
* 2: carry on as normal.
* 3: ASN1 method sets algorithm identifiers: just sign.
*/
if (rv <= 0)
ERR_raise(ERR_LIB_ASN1, ERR_R_EVP_LIB);
if (rv <= 1)
goto err;
} else {
rv = 2;
}
if (rv == 2) {
if (md == NULL) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_CONTEXT_NOT_INITIALISED);
goto err;
}
pkey_id =
#ifndef OPENSSL_NO_SM2
EVP_PKEY_get_id(pkey) == NID_sm2 ? NID_sm2 :
#endif
pkey->ameth->pkey_id;
if (!OBJ_find_sigid_by_algs(&signid, EVP_MD_nid(md), pkey_id)) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_DIGEST_AND_KEY_TYPE_NOT_SUPPORTED);
goto err;
}
paramtype = pkey->ameth->pkey_flags & ASN1_PKEY_SIGPARAM_NULL ?
V_ASN1_NULL : V_ASN1_UNDEF;
if (algor1 != NULL
&& !X509_ALGOR_set0(algor1, OBJ_nid2obj(signid), paramtype, NULL))
goto err;
if (algor2 != NULL
&& !X509_ALGOR_set0(algor2, OBJ_nid2obj(signid), paramtype, NULL))
goto err;
}
buf_len = ASN1_item_i2d(data, &buf_in, it);
if (buf_len <= 0) {
outl = 0;
ERR_raise(ERR_LIB_ASN1, ERR_R_INTERNAL_ERROR);
goto err;
}
inl = buf_len;
if (!EVP_DigestSign(ctx, NULL, &outll, buf_in, inl)) {
outl = 0;
ERR_raise(ERR_LIB_ASN1, ERR_R_EVP_LIB);
goto err;
}
outl = outll;
buf_out = OPENSSL_malloc(outll);
if (buf_in == NULL || buf_out == NULL) {
outl = 0;
goto err;
}
if (!EVP_DigestSign(ctx, buf_out, &outl, buf_in, inl)) {
outl = 0;
ERR_raise(ERR_LIB_ASN1, ERR_R_EVP_LIB);
goto err;
}
ASN1_STRING_set0(signature, buf_out, outl);
buf_out = NULL;
/*
* In the interests of compatibility, I'll make sure that the bit string
* has a 'not-used bits' value of 0
*/
ossl_asn1_string_set_bits_left(signature, 0);
err:
OPENSSL_clear_free((char *)buf_in, inl);
OPENSSL_clear_free((char *)buf_out, outll);
return outl;
}
|
./openssl/crypto/asn1/tasn_new.c | /*
* Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stddef.h>
#include <openssl/asn1.h>
#include <openssl/objects.h>
#include <openssl/err.h>
#include <openssl/asn1t.h>
#include <string.h>
#include "asn1_local.h"
static int asn1_item_embed_new(ASN1_VALUE **pval, const ASN1_ITEM *it,
int embed, OSSL_LIB_CTX *libctx,
const char *propq);
static int asn1_primitive_new(ASN1_VALUE **pval, const ASN1_ITEM *it,
int embed);
static void asn1_item_clear(ASN1_VALUE **pval, const ASN1_ITEM *it);
static int asn1_template_new(ASN1_VALUE **pval, const ASN1_TEMPLATE *tt,
OSSL_LIB_CTX *libctx, const char *propq);
static void asn1_template_clear(ASN1_VALUE **pval, const ASN1_TEMPLATE *tt);
static void asn1_primitive_clear(ASN1_VALUE **pval, const ASN1_ITEM *it);
ASN1_VALUE *ASN1_item_new(const ASN1_ITEM *it)
{
ASN1_VALUE *ret = NULL;
if (ASN1_item_ex_new(&ret, it) > 0)
return ret;
return NULL;
}
ASN1_VALUE *ASN1_item_new_ex(const ASN1_ITEM *it, OSSL_LIB_CTX *libctx,
const char *propq)
{
ASN1_VALUE *ret = NULL;
if (asn1_item_embed_new(&ret, it, 0, libctx, propq) > 0)
return ret;
return NULL;
}
/* Allocate an ASN1 structure */
int ossl_asn1_item_ex_new_intern(ASN1_VALUE **pval, const ASN1_ITEM *it,
OSSL_LIB_CTX *libctx, const char *propq)
{
return asn1_item_embed_new(pval, it, 0, libctx, propq);
}
int ASN1_item_ex_new(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
return asn1_item_embed_new(pval, it, 0, NULL, NULL);
}
int asn1_item_embed_new(ASN1_VALUE **pval, const ASN1_ITEM *it, int embed,
OSSL_LIB_CTX *libctx, const char *propq)
{
const ASN1_TEMPLATE *tt = NULL;
const ASN1_EXTERN_FUNCS *ef;
const ASN1_AUX *aux = it->funcs;
ASN1_aux_cb *asn1_cb;
ASN1_VALUE **pseqval;
int i;
if (aux && aux->asn1_cb)
asn1_cb = aux->asn1_cb;
else
asn1_cb = 0;
switch (it->itype) {
case ASN1_ITYPE_EXTERN:
ef = it->funcs;
if (ef != NULL) {
if (ef->asn1_ex_new_ex != NULL) {
if (!ef->asn1_ex_new_ex(pval, it, libctx, propq))
goto asn1err;
} else if (ef->asn1_ex_new != NULL) {
if (!ef->asn1_ex_new(pval, it))
goto asn1err;
}
}
break;
case ASN1_ITYPE_PRIMITIVE:
if (it->templates) {
if (!asn1_template_new(pval, it->templates, libctx, propq))
goto asn1err;
} else if (!asn1_primitive_new(pval, it, embed))
goto asn1err;
break;
case ASN1_ITYPE_MSTRING:
if (!asn1_primitive_new(pval, it, embed))
goto asn1err;
break;
case ASN1_ITYPE_CHOICE:
if (asn1_cb) {
i = asn1_cb(ASN1_OP_NEW_PRE, pval, it, NULL);
if (!i)
goto auxerr;
if (i == 2) {
return 1;
}
}
if (embed) {
memset(*pval, 0, it->size);
} else {
*pval = OPENSSL_zalloc(it->size);
if (*pval == NULL)
return 0;
}
ossl_asn1_set_choice_selector(pval, -1, it);
if (asn1_cb && !asn1_cb(ASN1_OP_NEW_POST, pval, it, NULL))
goto auxerr2;
break;
case ASN1_ITYPE_NDEF_SEQUENCE:
case ASN1_ITYPE_SEQUENCE:
if (asn1_cb) {
i = asn1_cb(ASN1_OP_NEW_PRE, pval, it, NULL);
if (!i)
goto auxerr;
if (i == 2) {
return 1;
}
}
if (embed) {
memset(*pval, 0, it->size);
} else {
*pval = OPENSSL_zalloc(it->size);
if (*pval == NULL)
return 0;
}
/* 0 : init. lock */
if (ossl_asn1_do_lock(pval, 0, it) < 0) {
if (!embed) {
OPENSSL_free(*pval);
*pval = NULL;
}
goto asn1err;
}
ossl_asn1_enc_init(pval, it);
for (i = 0, tt = it->templates; i < it->tcount; tt++, i++) {
pseqval = ossl_asn1_get_field_ptr(pval, tt);
if (!asn1_template_new(pseqval, tt, libctx, propq))
goto asn1err2;
}
if (asn1_cb && !asn1_cb(ASN1_OP_NEW_POST, pval, it, NULL))
goto auxerr2;
break;
}
return 1;
asn1err2:
ossl_asn1_item_embed_free(pval, it, embed);
asn1err:
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
return 0;
auxerr2:
ossl_asn1_item_embed_free(pval, it, embed);
auxerr:
ERR_raise(ERR_LIB_ASN1, ASN1_R_AUX_ERROR);
return 0;
}
static void asn1_item_clear(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
const ASN1_EXTERN_FUNCS *ef;
switch (it->itype) {
case ASN1_ITYPE_EXTERN:
ef = it->funcs;
if (ef && ef->asn1_ex_clear)
ef->asn1_ex_clear(pval, it);
else
*pval = NULL;
break;
case ASN1_ITYPE_PRIMITIVE:
if (it->templates)
asn1_template_clear(pval, it->templates);
else
asn1_primitive_clear(pval, it);
break;
case ASN1_ITYPE_MSTRING:
asn1_primitive_clear(pval, it);
break;
case ASN1_ITYPE_CHOICE:
case ASN1_ITYPE_SEQUENCE:
case ASN1_ITYPE_NDEF_SEQUENCE:
*pval = NULL;
break;
}
}
static int asn1_template_new(ASN1_VALUE **pval, const ASN1_TEMPLATE *tt,
OSSL_LIB_CTX *libctx, const char *propq)
{
const ASN1_ITEM *it = ASN1_ITEM_ptr(tt->item);
int embed = tt->flags & ASN1_TFLG_EMBED;
ASN1_VALUE *tval;
int ret;
if (embed) {
tval = (ASN1_VALUE *)pval;
pval = &tval;
}
if (tt->flags & ASN1_TFLG_OPTIONAL) {
asn1_template_clear(pval, tt);
return 1;
}
/* If ANY DEFINED BY nothing to do */
if (tt->flags & ASN1_TFLG_ADB_MASK) {
*pval = NULL;
return 1;
}
/* If SET OF or SEQUENCE OF, its a STACK */
if (tt->flags & ASN1_TFLG_SK_MASK) {
STACK_OF(ASN1_VALUE) *skval;
skval = sk_ASN1_VALUE_new_null();
if (!skval) {
ERR_raise(ERR_LIB_ASN1, ERR_R_CRYPTO_LIB);
ret = 0;
goto done;
}
*pval = (ASN1_VALUE *)skval;
ret = 1;
goto done;
}
/* Otherwise pass it back to the item routine */
ret = asn1_item_embed_new(pval, it, embed, libctx, propq);
done:
return ret;
}
static void asn1_template_clear(ASN1_VALUE **pval, const ASN1_TEMPLATE *tt)
{
/* If ADB or STACK just NULL the field */
if (tt->flags & (ASN1_TFLG_ADB_MASK | ASN1_TFLG_SK_MASK))
*pval = NULL;
else
asn1_item_clear(pval, ASN1_ITEM_ptr(tt->item));
}
/*
* NB: could probably combine most of the real XXX_new() behaviour and junk
* all the old functions.
*/
static int asn1_primitive_new(ASN1_VALUE **pval, const ASN1_ITEM *it,
int embed)
{
ASN1_TYPE *typ;
ASN1_STRING *str;
int utype;
if (!it)
return 0;
if (it->funcs) {
const ASN1_PRIMITIVE_FUNCS *pf = it->funcs;
if (embed) {
if (pf->prim_clear) {
pf->prim_clear(pval, it);
return 1;
}
} else if (pf->prim_new) {
return pf->prim_new(pval, it);
}
}
if (it->itype == ASN1_ITYPE_MSTRING)
utype = -1;
else
utype = it->utype;
switch (utype) {
case V_ASN1_OBJECT:
*pval = (ASN1_VALUE *)OBJ_nid2obj(NID_undef);
return 1;
case V_ASN1_BOOLEAN:
*(ASN1_BOOLEAN *)pval = it->size;
return 1;
case V_ASN1_NULL:
*pval = (ASN1_VALUE *)1;
return 1;
case V_ASN1_ANY:
if ((typ = OPENSSL_malloc(sizeof(*typ))) == NULL)
return 0;
typ->value.ptr = NULL;
typ->type = -1;
*pval = (ASN1_VALUE *)typ;
break;
default:
if (embed) {
str = *(ASN1_STRING **)pval;
memset(str, 0, sizeof(*str));
str->type = utype;
str->flags = ASN1_STRING_FLAG_EMBED;
} else {
str = ASN1_STRING_type_new(utype);
*pval = (ASN1_VALUE *)str;
}
if (it->itype == ASN1_ITYPE_MSTRING && str)
str->flags |= ASN1_STRING_FLAG_MSTRING;
break;
}
if (*pval)
return 1;
return 0;
}
static void asn1_primitive_clear(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
int utype;
if (it && it->funcs) {
const ASN1_PRIMITIVE_FUNCS *pf = it->funcs;
if (pf->prim_clear)
pf->prim_clear(pval, it);
else
*pval = NULL;
return;
}
if (!it || (it->itype == ASN1_ITYPE_MSTRING))
utype = -1;
else
utype = it->utype;
if (utype == V_ASN1_BOOLEAN)
*(ASN1_BOOLEAN *)pval = it->size;
else
*pval = NULL;
}
|
./openssl/crypto/asn1/ameth_lib.c | /*
* Copyright 2006-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/* We need to use some engine deprecated APIs */
#define OPENSSL_SUPPRESS_DEPRECATED
#include "internal/cryptlib.h"
#include <stdio.h>
#include <openssl/asn1t.h>
#include <openssl/x509.h>
#include <openssl/engine.h>
#include "crypto/asn1.h"
#include "crypto/evp.h"
#include "standard_methods.h"
typedef int sk_cmp_fn_type(const char *const *a, const char *const *b);
static STACK_OF(EVP_PKEY_ASN1_METHOD) *app_methods = NULL;
DECLARE_OBJ_BSEARCH_CMP_FN(const EVP_PKEY_ASN1_METHOD *,
const EVP_PKEY_ASN1_METHOD *, ameth);
static int ameth_cmp(const EVP_PKEY_ASN1_METHOD *const *a,
const EVP_PKEY_ASN1_METHOD *const *b)
{
return ((*a)->pkey_id - (*b)->pkey_id);
}
IMPLEMENT_OBJ_BSEARCH_CMP_FN(const EVP_PKEY_ASN1_METHOD *,
const EVP_PKEY_ASN1_METHOD *, ameth);
int EVP_PKEY_asn1_get_count(void)
{
int num = OSSL_NELEM(standard_methods);
if (app_methods)
num += sk_EVP_PKEY_ASN1_METHOD_num(app_methods);
return num;
}
const EVP_PKEY_ASN1_METHOD *EVP_PKEY_asn1_get0(int idx)
{
int num = OSSL_NELEM(standard_methods);
if (idx < 0)
return NULL;
if (idx < num)
return standard_methods[idx];
idx -= num;
return sk_EVP_PKEY_ASN1_METHOD_value(app_methods, idx);
}
static const EVP_PKEY_ASN1_METHOD *pkey_asn1_find(int type)
{
EVP_PKEY_ASN1_METHOD tmp;
const EVP_PKEY_ASN1_METHOD *t = &tmp, **ret;
tmp.pkey_id = type;
if (app_methods) {
int idx;
idx = sk_EVP_PKEY_ASN1_METHOD_find(app_methods, &tmp);
if (idx >= 0)
return sk_EVP_PKEY_ASN1_METHOD_value(app_methods, idx);
}
ret = OBJ_bsearch_ameth(&t, standard_methods, OSSL_NELEM(standard_methods));
if (ret == NULL || *ret == NULL)
return NULL;
return *ret;
}
/*
* Find an implementation of an ASN1 algorithm. If 'pe' is not NULL also
* search through engines and set *pe to a functional reference to the engine
* implementing 'type' or NULL if no engine implements it.
*/
const EVP_PKEY_ASN1_METHOD *EVP_PKEY_asn1_find(ENGINE **pe, int type)
{
const EVP_PKEY_ASN1_METHOD *t;
for (;;) {
t = pkey_asn1_find(type);
if (!t || !(t->pkey_flags & ASN1_PKEY_ALIAS))
break;
type = t->pkey_base_id;
}
if (pe) {
#ifndef OPENSSL_NO_ENGINE
ENGINE *e;
/* type will contain the final unaliased type */
e = ENGINE_get_pkey_asn1_meth_engine(type);
if (e) {
*pe = e;
return ENGINE_get_pkey_asn1_meth(e, type);
}
#endif
*pe = NULL;
}
return t;
}
const EVP_PKEY_ASN1_METHOD *EVP_PKEY_asn1_find_str(ENGINE **pe,
const char *str, int len)
{
int i;
const EVP_PKEY_ASN1_METHOD *ameth = NULL;
if (len == -1)
len = strlen(str);
if (pe) {
#ifndef OPENSSL_NO_ENGINE
ENGINE *e;
ameth = ENGINE_pkey_asn1_find_str(&e, str, len);
if (ameth) {
/*
* Convert structural into functional reference
*/
if (!ENGINE_init(e))
ameth = NULL;
ENGINE_free(e);
*pe = e;
return ameth;
}
#endif
*pe = NULL;
}
for (i = EVP_PKEY_asn1_get_count(); i-- > 0; ) {
ameth = EVP_PKEY_asn1_get0(i);
if (ameth->pkey_flags & ASN1_PKEY_ALIAS)
continue;
if ((int)strlen(ameth->pem_str) == len
&& OPENSSL_strncasecmp(ameth->pem_str, str, len) == 0)
return ameth;
}
return NULL;
}
int EVP_PKEY_asn1_add0(const EVP_PKEY_ASN1_METHOD *ameth)
{
EVP_PKEY_ASN1_METHOD tmp = { 0, };
/*
* One of the following must be true:
*
* pem_str == NULL AND ASN1_PKEY_ALIAS is set
* pem_str != NULL AND ASN1_PKEY_ALIAS is clear
*
* Anything else is an error and may lead to a corrupt ASN1 method table
*/
if (!((ameth->pem_str == NULL
&& (ameth->pkey_flags & ASN1_PKEY_ALIAS) != 0)
|| (ameth->pem_str != NULL
&& (ameth->pkey_flags & ASN1_PKEY_ALIAS) == 0))) {
ERR_raise(ERR_LIB_EVP, ERR_R_PASSED_INVALID_ARGUMENT);
return 0;
}
if (app_methods == NULL) {
app_methods = sk_EVP_PKEY_ASN1_METHOD_new(ameth_cmp);
if (app_methods == NULL)
return 0;
}
tmp.pkey_id = ameth->pkey_id;
if (sk_EVP_PKEY_ASN1_METHOD_find(app_methods, &tmp) >= 0) {
ERR_raise(ERR_LIB_EVP,
EVP_R_PKEY_APPLICATION_ASN1_METHOD_ALREADY_REGISTERED);
return 0;
}
if (!sk_EVP_PKEY_ASN1_METHOD_push(app_methods, ameth))
return 0;
sk_EVP_PKEY_ASN1_METHOD_sort(app_methods);
return 1;
}
int EVP_PKEY_asn1_add_alias(int to, int from)
{
EVP_PKEY_ASN1_METHOD *ameth;
ameth = EVP_PKEY_asn1_new(from, ASN1_PKEY_ALIAS, NULL, NULL);
if (ameth == NULL)
return 0;
ameth->pkey_base_id = to;
if (!EVP_PKEY_asn1_add0(ameth)) {
EVP_PKEY_asn1_free(ameth);
return 0;
}
return 1;
}
int EVP_PKEY_asn1_get0_info(int *ppkey_id, int *ppkey_base_id,
int *ppkey_flags, const char **pinfo,
const char **ppem_str,
const EVP_PKEY_ASN1_METHOD *ameth)
{
if (!ameth)
return 0;
if (ppkey_id)
*ppkey_id = ameth->pkey_id;
if (ppkey_base_id)
*ppkey_base_id = ameth->pkey_base_id;
if (ppkey_flags)
*ppkey_flags = ameth->pkey_flags;
if (pinfo)
*pinfo = ameth->info;
if (ppem_str)
*ppem_str = ameth->pem_str;
return 1;
}
const EVP_PKEY_ASN1_METHOD *EVP_PKEY_get0_asn1(const EVP_PKEY *pkey)
{
return pkey->ameth;
}
EVP_PKEY_ASN1_METHOD *EVP_PKEY_asn1_new(int id, int flags,
const char *pem_str, const char *info)
{
EVP_PKEY_ASN1_METHOD *ameth = OPENSSL_zalloc(sizeof(*ameth));
if (ameth == NULL)
return NULL;
ameth->pkey_id = id;
ameth->pkey_base_id = id;
ameth->pkey_flags = flags | ASN1_PKEY_DYNAMIC;
if (info) {
ameth->info = OPENSSL_strdup(info);
if (ameth->info == NULL)
goto err;
}
if (pem_str) {
ameth->pem_str = OPENSSL_strdup(pem_str);
if (ameth->pem_str == NULL)
goto err;
}
return ameth;
err:
EVP_PKEY_asn1_free(ameth);
return NULL;
}
void EVP_PKEY_asn1_copy(EVP_PKEY_ASN1_METHOD *dst,
const EVP_PKEY_ASN1_METHOD *src)
{
int pkey_id = dst->pkey_id;
int pkey_base_id = dst->pkey_base_id;
unsigned long pkey_flags = dst->pkey_flags;
char *pem_str = dst->pem_str;
char *info = dst->info;
*dst = *src;
/* We only copy the function pointers so restore the other values */
dst->pkey_id = pkey_id;
dst->pkey_base_id = pkey_base_id;
dst->pkey_flags = pkey_flags;
dst->pem_str = pem_str;
dst->info = info;
}
void EVP_PKEY_asn1_free(EVP_PKEY_ASN1_METHOD *ameth)
{
if (ameth && (ameth->pkey_flags & ASN1_PKEY_DYNAMIC)) {
OPENSSL_free(ameth->pem_str);
OPENSSL_free(ameth->info);
OPENSSL_free(ameth);
}
}
void EVP_PKEY_asn1_set_public(EVP_PKEY_ASN1_METHOD *ameth,
int (*pub_decode) (EVP_PKEY *pk,
const X509_PUBKEY *pub),
int (*pub_encode) (X509_PUBKEY *pub,
const EVP_PKEY *pk),
int (*pub_cmp) (const EVP_PKEY *a,
const EVP_PKEY *b),
int (*pub_print) (BIO *out,
const EVP_PKEY *pkey,
int indent, ASN1_PCTX *pctx),
int (*pkey_size) (const EVP_PKEY *pk),
int (*pkey_bits) (const EVP_PKEY *pk))
{
ameth->pub_decode = pub_decode;
ameth->pub_encode = pub_encode;
ameth->pub_cmp = pub_cmp;
ameth->pub_print = pub_print;
ameth->pkey_size = pkey_size;
ameth->pkey_bits = pkey_bits;
}
void EVP_PKEY_asn1_set_private(EVP_PKEY_ASN1_METHOD *ameth,
int (*priv_decode) (EVP_PKEY *pk,
const PKCS8_PRIV_KEY_INFO
*p8inf),
int (*priv_encode) (PKCS8_PRIV_KEY_INFO *p8,
const EVP_PKEY *pk),
int (*priv_print) (BIO *out,
const EVP_PKEY *pkey,
int indent,
ASN1_PCTX *pctx))
{
ameth->priv_decode = priv_decode;
ameth->priv_encode = priv_encode;
ameth->priv_print = priv_print;
}
void EVP_PKEY_asn1_set_param(EVP_PKEY_ASN1_METHOD *ameth,
int (*param_decode) (EVP_PKEY *pkey,
const unsigned char **pder,
int derlen),
int (*param_encode) (const EVP_PKEY *pkey,
unsigned char **pder),
int (*param_missing) (const EVP_PKEY *pk),
int (*param_copy) (EVP_PKEY *to,
const EVP_PKEY *from),
int (*param_cmp) (const EVP_PKEY *a,
const EVP_PKEY *b),
int (*param_print) (BIO *out,
const EVP_PKEY *pkey,
int indent, ASN1_PCTX *pctx))
{
ameth->param_decode = param_decode;
ameth->param_encode = param_encode;
ameth->param_missing = param_missing;
ameth->param_copy = param_copy;
ameth->param_cmp = param_cmp;
ameth->param_print = param_print;
}
void EVP_PKEY_asn1_set_free(EVP_PKEY_ASN1_METHOD *ameth,
void (*pkey_free) (EVP_PKEY *pkey))
{
ameth->pkey_free = pkey_free;
}
void EVP_PKEY_asn1_set_ctrl(EVP_PKEY_ASN1_METHOD *ameth,
int (*pkey_ctrl) (EVP_PKEY *pkey, int op,
long arg1, void *arg2))
{
ameth->pkey_ctrl = pkey_ctrl;
}
void EVP_PKEY_asn1_set_security_bits(EVP_PKEY_ASN1_METHOD *ameth,
int (*pkey_security_bits) (const EVP_PKEY
*pk))
{
ameth->pkey_security_bits = pkey_security_bits;
}
void EVP_PKEY_asn1_set_item(EVP_PKEY_ASN1_METHOD *ameth,
int (*item_verify) (EVP_MD_CTX *ctx,
const ASN1_ITEM *it,
const void *data,
const X509_ALGOR *a,
const ASN1_BIT_STRING *sig,
EVP_PKEY *pkey),
int (*item_sign) (EVP_MD_CTX *ctx,
const ASN1_ITEM *it,
const void *data,
X509_ALGOR *alg1,
X509_ALGOR *alg2,
ASN1_BIT_STRING *sig))
{
ameth->item_sign = item_sign;
ameth->item_verify = item_verify;
}
void EVP_PKEY_asn1_set_siginf(EVP_PKEY_ASN1_METHOD *ameth,
int (*siginf_set) (X509_SIG_INFO *siginf,
const X509_ALGOR *alg,
const ASN1_STRING *sig))
{
ameth->siginf_set = siginf_set;
}
void EVP_PKEY_asn1_set_check(EVP_PKEY_ASN1_METHOD *ameth,
int (*pkey_check) (const EVP_PKEY *pk))
{
ameth->pkey_check = pkey_check;
}
void EVP_PKEY_asn1_set_public_check(EVP_PKEY_ASN1_METHOD *ameth,
int (*pkey_pub_check) (const EVP_PKEY *pk))
{
ameth->pkey_public_check = pkey_pub_check;
}
void EVP_PKEY_asn1_set_param_check(EVP_PKEY_ASN1_METHOD *ameth,
int (*pkey_param_check) (const EVP_PKEY *pk))
{
ameth->pkey_param_check = pkey_param_check;
}
void EVP_PKEY_asn1_set_set_priv_key(EVP_PKEY_ASN1_METHOD *ameth,
int (*set_priv_key) (EVP_PKEY *pk,
const unsigned char
*priv,
size_t len))
{
ameth->set_priv_key = set_priv_key;
}
void EVP_PKEY_asn1_set_set_pub_key(EVP_PKEY_ASN1_METHOD *ameth,
int (*set_pub_key) (EVP_PKEY *pk,
const unsigned char *pub,
size_t len))
{
ameth->set_pub_key = set_pub_key;
}
void EVP_PKEY_asn1_set_get_priv_key(EVP_PKEY_ASN1_METHOD *ameth,
int (*get_priv_key) (const EVP_PKEY *pk,
unsigned char *priv,
size_t *len))
{
ameth->get_priv_key = get_priv_key;
}
void EVP_PKEY_asn1_set_get_pub_key(EVP_PKEY_ASN1_METHOD *ameth,
int (*get_pub_key) (const EVP_PKEY *pk,
unsigned char *pub,
size_t *len))
{
ameth->get_pub_key = get_pub_key;
}
|
./openssl/crypto/asn1/nsseq.c | /*
* Copyright 1999-2016 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include <stdlib.h>
#include <openssl/asn1t.h>
#include <openssl/x509.h>
#include <openssl/objects.h>
static int nsseq_cb(int operation, ASN1_VALUE **pval, const ASN1_ITEM *it,
void *exarg)
{
if (operation == ASN1_OP_NEW_POST) {
NETSCAPE_CERT_SEQUENCE *nsseq;
nsseq = (NETSCAPE_CERT_SEQUENCE *)*pval;
nsseq->type = OBJ_nid2obj(NID_netscape_cert_sequence);
}
return 1;
}
/* Netscape certificate sequence structure */
ASN1_SEQUENCE_cb(NETSCAPE_CERT_SEQUENCE, nsseq_cb) = {
ASN1_SIMPLE(NETSCAPE_CERT_SEQUENCE, type, ASN1_OBJECT),
ASN1_EXP_SEQUENCE_OF_OPT(NETSCAPE_CERT_SEQUENCE, certs, X509, 0)
} ASN1_SEQUENCE_END_cb(NETSCAPE_CERT_SEQUENCE, NETSCAPE_CERT_SEQUENCE)
IMPLEMENT_ASN1_FUNCTIONS(NETSCAPE_CERT_SEQUENCE)
|
./openssl/crypto/asn1/asn_moid.c | /*
* Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "crypto/ctype.h"
#include <openssl/crypto.h>
#include "internal/cryptlib.h"
#include <openssl/conf.h>
#include <openssl/x509.h>
#include "crypto/asn1.h"
#include "crypto/objects.h"
/* Simple ASN1 OID module: add all objects in a given section */
static int do_create(const char *value, const char *name);
static int oid_module_init(CONF_IMODULE *md, const CONF *cnf)
{
int i;
const char *oid_section;
STACK_OF(CONF_VALUE) *sktmp;
CONF_VALUE *oval;
oid_section = CONF_imodule_get_value(md);
if ((sktmp = NCONF_get_section(cnf, oid_section)) == NULL) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ERROR_LOADING_SECTION);
return 0;
}
for (i = 0; i < sk_CONF_VALUE_num(sktmp); i++) {
oval = sk_CONF_VALUE_value(sktmp, i);
if (!do_create(oval->value, oval->name)) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ADDING_OBJECT);
return 0;
}
}
return 1;
}
static void oid_module_finish(CONF_IMODULE *md)
{
}
void ASN1_add_oid_module(void)
{
CONF_module_add("oid_section", oid_module_init, oid_module_finish);
}
/*-
* Create an OID based on a name value pair. Accept two formats.
* shortname = 1.2.3.4
* shortname = some long name, 1.2.3.4
*/
static int do_create(const char *value, const char *name)
{
int nid;
const char *ln, *ostr, *p;
char *lntmp = NULL;
p = strrchr(value, ',');
if (p == NULL) {
ln = name;
ostr = value;
} else if (p == value) {
/* we started with a leading comma */
ln = name;
ostr = p + 1;
} else {
ln = value;
ostr = p + 1;
if (*ostr == '\0')
return 0;
while (ossl_isspace(*ostr))
ostr++;
while (ossl_isspace(*ln))
ln++;
p--;
while (ossl_isspace(*p)) {
if (p == ln)
return 0;
p--;
}
p++;
if ((lntmp = OPENSSL_malloc((p - ln) + 1)) == NULL)
return 0;
memcpy(lntmp, ln, p - ln);
lntmp[p - ln] = '\0';
ln = lntmp;
}
nid = OBJ_create(ostr, name, ln);
OPENSSL_free(lntmp);
return nid != NID_undef;
}
|
./openssl/crypto/asn1/tasn_utl.c | /*
* Copyright 2000-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stddef.h>
#include <string.h>
#include "internal/cryptlib.h"
#include "internal/refcount.h"
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
#include <openssl/objects.h>
#include <openssl/err.h>
#include "asn1_local.h"
/* Utility functions for manipulating fields and offsets */
/* Add 'offset' to 'addr' */
#define offset2ptr(addr, offset) (void *)(((char *) addr) + offset)
/*
* Given an ASN1_ITEM CHOICE type return the selector value
*/
int ossl_asn1_get_choice_selector(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
int *sel = offset2ptr(*pval, it->utype);
return *sel;
}
int ossl_asn1_get_choice_selector_const(const ASN1_VALUE **pval,
const ASN1_ITEM *it)
{
int *sel = offset2ptr(*pval, it->utype);
return *sel;
}
/*
* Given an ASN1_ITEM CHOICE type set the selector value, return old value.
*/
int ossl_asn1_set_choice_selector(ASN1_VALUE **pval, int value,
const ASN1_ITEM *it)
{
int *sel, ret;
sel = offset2ptr(*pval, it->utype);
ret = *sel;
*sel = value;
return ret;
}
/*
* Do atomic reference counting. The value 'op' decides what to do.
* If it is +1 then the count is incremented.
* If |op| is 0, count is initialised and set to 1.
* If |op| is -1, count is decremented and the return value is the current
* reference count or 0 if no reference count is active.
* It returns -1 on initialisation error.
* Used by ASN1_SEQUENCE construct of X509, X509_REQ, X509_CRL objects
*/
int ossl_asn1_do_lock(ASN1_VALUE **pval, int op, const ASN1_ITEM *it)
{
const ASN1_AUX *aux;
CRYPTO_RWLOCK **lock;
CRYPTO_REF_COUNT *refcnt;
int ret = -1;
if ((it->itype != ASN1_ITYPE_SEQUENCE)
&& (it->itype != ASN1_ITYPE_NDEF_SEQUENCE))
return 0;
aux = it->funcs;
if (aux == NULL || (aux->flags & ASN1_AFLG_REFCOUNT) == 0)
return 0;
lock = offset2ptr(*pval, aux->ref_lock);
refcnt = offset2ptr(*pval, aux->ref_offset);
switch (op) {
case 0:
if (!CRYPTO_NEW_REF(refcnt, 1))
return -1;
*lock = CRYPTO_THREAD_lock_new();
if (*lock == NULL) {
CRYPTO_FREE_REF(refcnt);
ERR_raise(ERR_LIB_ASN1, ERR_R_CRYPTO_LIB);
return -1;
}
ret = 1;
break;
case 1:
if (!CRYPTO_UP_REF(refcnt, &ret))
return -1;
break;
case -1:
if (!CRYPTO_DOWN_REF(refcnt, &ret))
return -1; /* failed */
REF_PRINT_EX(it->sname, ret, (void *)it);
REF_ASSERT_ISNT(ret < 0);
if (ret == 0) {
CRYPTO_THREAD_lock_free(*lock);
*lock = NULL;
CRYPTO_FREE_REF(refcnt);
}
break;
}
return ret;
}
static ASN1_ENCODING *asn1_get_enc_ptr(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
const ASN1_AUX *aux;
if (pval == NULL || *pval == NULL)
return NULL;
aux = it->funcs;
if (aux == NULL || (aux->flags & ASN1_AFLG_ENCODING) == 0)
return NULL;
return offset2ptr(*pval, aux->enc_offset);
}
static const ASN1_ENCODING *asn1_get_const_enc_ptr(const ASN1_VALUE **pval,
const ASN1_ITEM *it)
{
const ASN1_AUX *aux;
if (pval == NULL || *pval == NULL)
return NULL;
aux = it->funcs;
if (aux == NULL || (aux->flags & ASN1_AFLG_ENCODING) == 0)
return NULL;
return offset2ptr(*pval, aux->enc_offset);
}
void ossl_asn1_enc_init(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
ASN1_ENCODING *enc = asn1_get_enc_ptr(pval, it);
if (enc != NULL) {
enc->enc = NULL;
enc->len = 0;
enc->modified = 1;
}
}
void ossl_asn1_enc_free(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
ASN1_ENCODING *enc = asn1_get_enc_ptr(pval, it);
if (enc != NULL) {
OPENSSL_free(enc->enc);
enc->enc = NULL;
enc->len = 0;
enc->modified = 1;
}
}
int ossl_asn1_enc_save(ASN1_VALUE **pval, const unsigned char *in, int inlen,
const ASN1_ITEM *it)
{
ASN1_ENCODING *enc = asn1_get_enc_ptr(pval, it);
if (enc == NULL)
return 1;
OPENSSL_free(enc->enc);
if (inlen <= 0)
return 0;
if ((enc->enc = OPENSSL_malloc(inlen)) == NULL)
return 0;
memcpy(enc->enc, in, inlen);
enc->len = inlen;
enc->modified = 0;
return 1;
}
int ossl_asn1_enc_restore(int *len, unsigned char **out, const ASN1_VALUE **pval,
const ASN1_ITEM *it)
{
const ASN1_ENCODING *enc = asn1_get_const_enc_ptr(pval, it);
if (enc == NULL || enc->modified)
return 0;
if (out) {
memcpy(*out, enc->enc, enc->len);
*out += enc->len;
}
if (len != NULL)
*len = enc->len;
return 1;
}
/* Given an ASN1_TEMPLATE get a pointer to a field */
ASN1_VALUE **ossl_asn1_get_field_ptr(ASN1_VALUE **pval, const ASN1_TEMPLATE *tt)
{
ASN1_VALUE **pvaltmp = offset2ptr(*pval, tt->offset);
/*
* NOTE for BOOLEAN types the field is just a plain int so we can't
* return int **, so settle for (int *).
*/
return pvaltmp;
}
/* Given an ASN1_TEMPLATE get a const pointer to a field */
const ASN1_VALUE **ossl_asn1_get_const_field_ptr(const ASN1_VALUE **pval,
const ASN1_TEMPLATE *tt)
{
return offset2ptr(*pval, tt->offset);
}
/*
* Handle ANY DEFINED BY template, find the selector, look up the relevant
* ASN1_TEMPLATE in the table and return it.
*/
const ASN1_TEMPLATE *ossl_asn1_do_adb(const ASN1_VALUE *val,
const ASN1_TEMPLATE *tt,
int nullerr)
{
const ASN1_ADB *adb;
const ASN1_ADB_TABLE *atbl;
long selector;
const ASN1_VALUE **sfld;
int i;
if ((tt->flags & ASN1_TFLG_ADB_MASK) == 0)
return tt;
/* Else ANY DEFINED BY ... get the table */
adb = ASN1_ADB_ptr(tt->item);
/* Get the selector field */
sfld = offset2ptr(val, adb->offset);
/* Check if NULL */
if (*sfld == NULL) {
if (adb->null_tt == NULL)
goto err;
return adb->null_tt;
}
/*
* Convert type to a long: NB: don't check for NID_undef here because it
* might be a legitimate value in the table
*/
if ((tt->flags & ASN1_TFLG_ADB_OID) != 0)
selector = OBJ_obj2nid((ASN1_OBJECT *)*sfld);
else
selector = ASN1_INTEGER_get((ASN1_INTEGER *)*sfld);
/* Let application callback translate value */
if (adb->adb_cb != NULL && adb->adb_cb(&selector) == 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_UNSUPPORTED_ANY_DEFINED_BY_TYPE);
return NULL;
}
/*
* Try to find matching entry in table Maybe should check application
* types first to allow application override? Might also be useful to
* have a flag which indicates table is sorted and we can do a binary
* search. For now stick to a linear search.
*/
for (atbl = adb->tbl, i = 0; i < adb->tblcount; i++, atbl++)
if (atbl->value == selector)
return &atbl->tt;
/* FIXME: need to search application table too */
/* No match, return default type */
if (!adb->default_tt)
goto err;
return adb->default_tt;
err:
/* FIXME: should log the value or OID of unsupported type */
if (nullerr)
ERR_raise(ERR_LIB_ASN1, ASN1_R_UNSUPPORTED_ANY_DEFINED_BY_TYPE);
return NULL;
}
|
./openssl/crypto/asn1/x_int64.c | /*
* Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "internal/cryptlib.h"
#include "internal/numbers.h"
#include <openssl/asn1t.h>
#include <openssl/bn.h>
#include "asn1_local.h"
/*
* Custom primitive types for handling int32_t, int64_t, uint32_t, uint64_t.
* This converts between an ASN1_INTEGER and those types directly.
* This is preferred to using the LONG / ZLONG primitives.
*/
/*
* We abuse the ASN1_ITEM fields |size| as a flags field
*/
#define INTxx_FLAG_ZERO_DEFAULT (1<<0)
#define INTxx_FLAG_SIGNED (1<<1)
static int uint64_new(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
if ((*pval = (ASN1_VALUE *)OPENSSL_zalloc(sizeof(uint64_t))) == NULL)
return 0;
return 1;
}
static void uint64_free(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
OPENSSL_free(*pval);
*pval = NULL;
}
static void uint64_clear(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
**(uint64_t **)pval = 0;
}
static int uint64_i2c(const ASN1_VALUE **pval, unsigned char *cont, int *putype,
const ASN1_ITEM *it)
{
uint64_t utmp;
int neg = 0;
/* this exists to bypass broken gcc optimization */
char *cp = (char *)*pval;
/* use memcpy, because we may not be uint64_t aligned */
memcpy(&utmp, cp, sizeof(utmp));
if ((it->size & INTxx_FLAG_ZERO_DEFAULT) == INTxx_FLAG_ZERO_DEFAULT
&& utmp == 0)
return -1;
if ((it->size & INTxx_FLAG_SIGNED) == INTxx_FLAG_SIGNED
&& (int64_t)utmp < 0) {
/* ossl_i2c_uint64_int() assumes positive values */
utmp = 0 - utmp;
neg = 1;
}
return ossl_i2c_uint64_int(cont, utmp, neg);
}
static int uint64_c2i(ASN1_VALUE **pval, const unsigned char *cont, int len,
int utype, char *free_cont, const ASN1_ITEM *it)
{
uint64_t utmp = 0;
char *cp;
int neg = 0;
if (*pval == NULL && !uint64_new(pval, it))
return 0;
cp = (char *)*pval;
/*
* Strictly speaking, zero length is malformed. However, long_c2i
* (x_long.c) encodes 0 as a zero length INTEGER (wrongly, of course),
* so for the sake of backward compatibility, we still decode zero
* length INTEGERs as the number zero.
*/
if (len == 0)
goto long_compat;
if (!ossl_c2i_uint64_int(&utmp, &neg, &cont, len))
return 0;
if ((it->size & INTxx_FLAG_SIGNED) == 0 && neg) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ILLEGAL_NEGATIVE_VALUE);
return 0;
}
if ((it->size & INTxx_FLAG_SIGNED) == INTxx_FLAG_SIGNED
&& !neg && utmp > INT64_MAX) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_TOO_LARGE);
return 0;
}
if (neg)
/* ossl_c2i_uint64_int() returns positive values */
utmp = 0 - utmp;
long_compat:
memcpy(cp, &utmp, sizeof(utmp));
return 1;
}
static int uint64_print(BIO *out, const ASN1_VALUE **pval, const ASN1_ITEM *it,
int indent, const ASN1_PCTX *pctx)
{
if ((it->size & INTxx_FLAG_SIGNED) == INTxx_FLAG_SIGNED)
return BIO_printf(out, "%jd\n", **(int64_t **)pval);
return BIO_printf(out, "%ju\n", **(uint64_t **)pval);
}
/* 32-bit variants */
static int uint32_new(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
if ((*pval = (ASN1_VALUE *)OPENSSL_zalloc(sizeof(uint32_t))) == NULL)
return 0;
return 1;
}
static void uint32_free(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
OPENSSL_free(*pval);
*pval = NULL;
}
static void uint32_clear(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
**(uint32_t **)pval = 0;
}
static int uint32_i2c(const ASN1_VALUE **pval, unsigned char *cont, int *putype,
const ASN1_ITEM *it)
{
uint32_t utmp;
int neg = 0;
/* this exists to bypass broken gcc optimization */
char *cp = (char *)*pval;
/* use memcpy, because we may not be uint32_t aligned */
memcpy(&utmp, cp, sizeof(utmp));
if ((it->size & INTxx_FLAG_ZERO_DEFAULT) == INTxx_FLAG_ZERO_DEFAULT
&& utmp == 0)
return -1;
if ((it->size & INTxx_FLAG_SIGNED) == INTxx_FLAG_SIGNED
&& (int32_t)utmp < 0) {
/* ossl_i2c_uint64_int() assumes positive values */
utmp = 0 - utmp;
neg = 1;
}
return ossl_i2c_uint64_int(cont, (uint64_t)utmp, neg);
}
/*
* Absolute value of INT32_MIN: we can't just use -INT32_MIN as it produces
* overflow warnings.
*/
#define ABS_INT32_MIN ((uint32_t)INT32_MAX + 1)
static int uint32_c2i(ASN1_VALUE **pval, const unsigned char *cont, int len,
int utype, char *free_cont, const ASN1_ITEM *it)
{
uint64_t utmp = 0;
uint32_t utmp2 = 0;
char *cp;
int neg = 0;
if (*pval == NULL && !uint64_new(pval, it))
return 0;
cp = (char *)*pval;
/*
* Strictly speaking, zero length is malformed. However, long_c2i
* (x_long.c) encodes 0 as a zero length INTEGER (wrongly, of course),
* so for the sake of backward compatibility, we still decode zero
* length INTEGERs as the number zero.
*/
if (len == 0)
goto long_compat;
if (!ossl_c2i_uint64_int(&utmp, &neg, &cont, len))
return 0;
if ((it->size & INTxx_FLAG_SIGNED) == 0 && neg) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ILLEGAL_NEGATIVE_VALUE);
return 0;
}
if (neg) {
if (utmp > ABS_INT32_MIN) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_TOO_SMALL);
return 0;
}
utmp = 0 - utmp;
} else {
if (((it->size & INTxx_FLAG_SIGNED) != 0 && utmp > INT32_MAX)
|| ((it->size & INTxx_FLAG_SIGNED) == 0 && utmp > UINT32_MAX)) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_TOO_LARGE);
return 0;
}
}
long_compat:
utmp2 = (uint32_t)utmp;
memcpy(cp, &utmp2, sizeof(utmp2));
return 1;
}
static int uint32_print(BIO *out, const ASN1_VALUE **pval, const ASN1_ITEM *it,
int indent, const ASN1_PCTX *pctx)
{
if ((it->size & INTxx_FLAG_SIGNED) == INTxx_FLAG_SIGNED)
return BIO_printf(out, "%d\n", (int)**(int32_t **)pval);
return BIO_printf(out, "%u\n", (unsigned int)**(uint32_t **)pval);
}
/* Define the primitives themselves */
static ASN1_PRIMITIVE_FUNCS uint32_pf = {
NULL, 0,
uint32_new,
uint32_free,
uint32_clear,
uint32_c2i,
uint32_i2c,
uint32_print
};
static ASN1_PRIMITIVE_FUNCS uint64_pf = {
NULL, 0,
uint64_new,
uint64_free,
uint64_clear,
uint64_c2i,
uint64_i2c,
uint64_print
};
ASN1_ITEM_start(INT32)
ASN1_ITYPE_PRIMITIVE, V_ASN1_INTEGER, NULL, 0, &uint32_pf,
INTxx_FLAG_SIGNED, "INT32"
ASN1_ITEM_end(INT32)
ASN1_ITEM_start(UINT32)
ASN1_ITYPE_PRIMITIVE, V_ASN1_INTEGER, NULL, 0, &uint32_pf, 0, "UINT32"
ASN1_ITEM_end(UINT32)
ASN1_ITEM_start(INT64)
ASN1_ITYPE_PRIMITIVE, V_ASN1_INTEGER, NULL, 0, &uint64_pf,
INTxx_FLAG_SIGNED, "INT64"
ASN1_ITEM_end(INT64)
ASN1_ITEM_start(UINT64)
ASN1_ITYPE_PRIMITIVE, V_ASN1_INTEGER, NULL, 0, &uint64_pf, 0, "UINT64"
ASN1_ITEM_end(UINT64)
ASN1_ITEM_start(ZINT32)
ASN1_ITYPE_PRIMITIVE, V_ASN1_INTEGER, NULL, 0, &uint32_pf,
INTxx_FLAG_ZERO_DEFAULT|INTxx_FLAG_SIGNED, "ZINT32"
ASN1_ITEM_end(ZINT32)
ASN1_ITEM_start(ZUINT32)
ASN1_ITYPE_PRIMITIVE, V_ASN1_INTEGER, NULL, 0, &uint32_pf,
INTxx_FLAG_ZERO_DEFAULT, "ZUINT32"
ASN1_ITEM_end(ZUINT32)
ASN1_ITEM_start(ZINT64)
ASN1_ITYPE_PRIMITIVE, V_ASN1_INTEGER, NULL, 0, &uint64_pf,
INTxx_FLAG_ZERO_DEFAULT|INTxx_FLAG_SIGNED, "ZINT64"
ASN1_ITEM_end(ZINT64)
ASN1_ITEM_start(ZUINT64)
ASN1_ITYPE_PRIMITIVE, V_ASN1_INTEGER, NULL, 0, &uint64_pf,
INTxx_FLAG_ZERO_DEFAULT, "ZUINT64"
ASN1_ITEM_end(ZUINT64)
|
./openssl/crypto/asn1/a_dup.c | /*
* Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/asn1t.h>
#ifndef NO_OLD_ASN1
void *ASN1_dup(i2d_of_void *i2d, d2i_of_void *d2i, const void *x)
{
unsigned char *b, *p;
const unsigned char *p2;
int i;
char *ret;
if (x == NULL)
return NULL;
i = i2d(x, NULL);
if (i <= 0)
return NULL;
b = OPENSSL_malloc(i + 10);
if (b == NULL)
return NULL;
p = b;
i = i2d(x, &p);
p2 = b;
ret = d2i(NULL, &p2, i);
OPENSSL_free(b);
return ret;
}
#endif
/*
* ASN1_ITEM version of dup: this follows the model above except we don't
* need to allocate the buffer. At some point this could be rewritten to
* directly dup the underlying structure instead of doing and encode and
* decode.
*/
void *ASN1_item_dup(const ASN1_ITEM *it, const void *x)
{
ASN1_aux_cb *asn1_cb = NULL;
unsigned char *b = NULL;
const unsigned char *p;
long i;
ASN1_VALUE *ret;
OSSL_LIB_CTX *libctx = NULL;
const char *propq = NULL;
if (x == NULL)
return NULL;
if (it->itype == ASN1_ITYPE_SEQUENCE || it->itype == ASN1_ITYPE_CHOICE
|| it->itype == ASN1_ITYPE_NDEF_SEQUENCE) {
const ASN1_AUX *aux = it->funcs;
asn1_cb = aux != NULL ? aux->asn1_cb : NULL;
}
if (asn1_cb != NULL) {
if (!asn1_cb(ASN1_OP_DUP_PRE, (ASN1_VALUE **)&x, it, NULL)
|| !asn1_cb(ASN1_OP_GET0_LIBCTX, (ASN1_VALUE **)&x, it, &libctx)
|| !asn1_cb(ASN1_OP_GET0_PROPQ, (ASN1_VALUE **)&x, it, &propq))
goto auxerr;
}
i = ASN1_item_i2d(x, &b, it);
if (b == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
return NULL;
}
p = b;
ret = ASN1_item_d2i_ex(NULL, &p, i, it, libctx, propq);
OPENSSL_free(b);
if (asn1_cb != NULL
&& !asn1_cb(ASN1_OP_DUP_POST, &ret, it, (void *)x))
goto auxerr;
return ret;
auxerr:
ERR_raise_data(ERR_LIB_ASN1, ASN1_R_AUX_ERROR, "Type=%s", it->sname);
return NULL;
}
|
./openssl/crypto/asn1/x_long.c | /*
* Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/asn1t.h>
#define COPY_SIZE(a, b) (sizeof(a) < sizeof(b) ? sizeof(a) : sizeof(b))
/*
* Custom primitive type for long handling. This converts between an
* ASN1_INTEGER and a long directly.
*/
static int long_new(ASN1_VALUE **pval, const ASN1_ITEM *it);
static void long_free(ASN1_VALUE **pval, const ASN1_ITEM *it);
static int long_i2c(const ASN1_VALUE **pval, unsigned char *cont, int *putype,
const ASN1_ITEM *it);
static int long_c2i(ASN1_VALUE **pval, const unsigned char *cont, int len,
int utype, char *free_cont, const ASN1_ITEM *it);
static int long_print(BIO *out, const ASN1_VALUE **pval, const ASN1_ITEM *it,
int indent, const ASN1_PCTX *pctx);
static ASN1_PRIMITIVE_FUNCS long_pf = {
NULL, 0,
long_new,
long_free,
long_free, /* Clear should set to initial value */
long_c2i,
long_i2c,
long_print
};
ASN1_ITEM_start(LONG)
ASN1_ITYPE_PRIMITIVE, V_ASN1_INTEGER, NULL, 0, &long_pf, ASN1_LONG_UNDEF, "LONG"
ASN1_ITEM_end(LONG)
ASN1_ITEM_start(ZLONG)
ASN1_ITYPE_PRIMITIVE, V_ASN1_INTEGER, NULL, 0, &long_pf, 0, "ZLONG"
ASN1_ITEM_end(ZLONG)
static int long_new(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
memcpy(pval, &it->size, COPY_SIZE(*pval, it->size));
return 1;
}
static void long_free(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
memcpy(pval, &it->size, COPY_SIZE(*pval, it->size));
}
/*
* Originally BN_num_bits_word was called to perform this operation, but
* trouble is that there is no guarantee that sizeof(long) equals to
* sizeof(BN_ULONG). BN_ULONG is a configurable type that can be as wide
* as long, but also double or half...
*/
static int num_bits_ulong(unsigned long value)
{
size_t i;
unsigned long ret = 0;
/*
* It is argued that *on average* constant counter loop performs
* not worse [if not better] than one with conditional break or
* mask-n-table-lookup-style, because of branch misprediction
* penalties.
*/
for (i = 0; i < sizeof(value) * 8; i++) {
ret += (value != 0);
value >>= 1;
}
return (int)ret;
}
static int long_i2c(const ASN1_VALUE **pval, unsigned char *cont, int *putype,
const ASN1_ITEM *it)
{
long ltmp;
unsigned long utmp, sign;
int clen, pad, i;
memcpy(<mp, pval, COPY_SIZE(*pval, ltmp));
if (ltmp == it->size)
return -1;
/*
* Convert the long to positive: we subtract one if negative so we can
* cleanly handle the padding if only the MSB of the leading octet is
* set.
*/
if (ltmp < 0) {
sign = 0xff;
utmp = 0 - (unsigned long)ltmp - 1;
} else {
sign = 0;
utmp = ltmp;
}
clen = num_bits_ulong(utmp);
/* If MSB of leading octet set we need to pad */
if (!(clen & 0x7))
pad = 1;
else
pad = 0;
/* Convert number of bits to number of octets */
clen = (clen + 7) >> 3;
if (cont != NULL) {
if (pad)
*cont++ = (unsigned char)sign;
for (i = clen - 1; i >= 0; i--) {
cont[i] = (unsigned char)(utmp ^ sign);
utmp >>= 8;
}
}
return clen + pad;
}
static int long_c2i(ASN1_VALUE **pval, const unsigned char *cont, int len,
int utype, char *free_cont, const ASN1_ITEM *it)
{
int i;
long ltmp;
unsigned long utmp = 0, sign = 0x100;
if (len > 1) {
/*
* Check possible pad byte. Worst case, we're skipping past actual
* content, but since that's only with 0x00 and 0xff and we set neg
* accordingly, the result will be correct in the end anyway.
*/
switch (cont[0]) {
case 0xff:
cont++;
len--;
sign = 0xff;
break;
case 0:
cont++;
len--;
sign = 0;
break;
}
}
if (len > (int)sizeof(long)) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_INTEGER_TOO_LARGE_FOR_LONG);
return 0;
}
if (sign == 0x100) {
/* Is it negative? */
if (len && (cont[0] & 0x80))
sign = 0xff;
else
sign = 0;
} else if (((sign ^ cont[0]) & 0x80) == 0) { /* same sign bit? */
ERR_raise(ERR_LIB_ASN1, ASN1_R_ILLEGAL_PADDING);
return 0;
}
utmp = 0;
for (i = 0; i < len; i++) {
utmp <<= 8;
utmp |= cont[i] ^ sign;
}
ltmp = (long)utmp;
if (ltmp < 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_INTEGER_TOO_LARGE_FOR_LONG);
return 0;
}
if (sign)
ltmp = -ltmp - 1;
if (ltmp == it->size) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_INTEGER_TOO_LARGE_FOR_LONG);
return 0;
}
memcpy(pval, <mp, COPY_SIZE(*pval, ltmp));
return 1;
}
static int long_print(BIO *out, const ASN1_VALUE **pval, const ASN1_ITEM *it,
int indent, const ASN1_PCTX *pctx)
{
long l;
memcpy(&l, pval, COPY_SIZE(*pval, l));
return BIO_printf(out, "%ld\n", l);
}
|
./openssl/crypto/asn1/a_verify.c | /*
* Copyright 1995-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include <time.h>
#include <sys/types.h>
#include "internal/cryptlib.h"
#include <openssl/bn.h>
#include <openssl/x509.h>
#include <openssl/objects.h>
#include <openssl/buffer.h>
#include <openssl/evp.h>
#include "crypto/asn1.h"
#include "crypto/evp.h"
#include "crypto/rsa.h"
#ifndef OPENSSL_NO_DEPRECATED_3_0
int ASN1_verify(i2d_of_void *i2d, X509_ALGOR *a, ASN1_BIT_STRING *signature,
char *data, EVP_PKEY *pkey)
{
EVP_MD_CTX *ctx = EVP_MD_CTX_new();
const EVP_MD *type;
unsigned char *p, *buf_in = NULL;
int ret = -1, i, inl;
if (ctx == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_EVP_LIB);
goto err;
}
i = OBJ_obj2nid(a->algorithm);
type = EVP_get_digestbyname(OBJ_nid2sn(i));
if (type == NULL) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_UNKNOWN_MESSAGE_DIGEST_ALGORITHM);
goto err;
}
if (signature->type == V_ASN1_BIT_STRING && signature->flags & 0x7) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_INVALID_BIT_STRING_BITS_LEFT);
goto err;
}
inl = i2d(data, NULL);
if (inl <= 0) {
ERR_raise(ERR_LIB_ASN1, ERR_R_INTERNAL_ERROR);
goto err;
}
buf_in = OPENSSL_malloc((unsigned int)inl);
if (buf_in == NULL)
goto err;
p = buf_in;
i2d(data, &p);
ret = EVP_VerifyInit_ex(ctx, type, NULL)
&& EVP_VerifyUpdate(ctx, (unsigned char *)buf_in, inl);
OPENSSL_clear_free(buf_in, (unsigned int)inl);
if (!ret) {
ERR_raise(ERR_LIB_ASN1, ERR_R_EVP_LIB);
goto err;
}
ret = -1;
if (EVP_VerifyFinal(ctx, (unsigned char *)signature->data,
(unsigned int)signature->length, pkey) <= 0) {
ERR_raise(ERR_LIB_ASN1, ERR_R_EVP_LIB);
ret = 0;
goto err;
}
ret = 1;
err:
EVP_MD_CTX_free(ctx);
return ret;
}
#endif
int ASN1_item_verify(const ASN1_ITEM *it, const X509_ALGOR *alg,
const ASN1_BIT_STRING *signature, const void *data,
EVP_PKEY *pkey)
{
return ASN1_item_verify_ex(it, alg, signature, data, NULL, pkey, NULL, NULL);
}
int ASN1_item_verify_ex(const ASN1_ITEM *it, const X509_ALGOR *alg,
const ASN1_BIT_STRING *signature, const void *data,
const ASN1_OCTET_STRING *id, EVP_PKEY *pkey,
OSSL_LIB_CTX *libctx, const char *propq)
{
EVP_MD_CTX *ctx;
int rv = -1;
if ((ctx = evp_md_ctx_new_ex(pkey, id, libctx, propq)) != NULL) {
rv = ASN1_item_verify_ctx(it, alg, signature, data, ctx);
EVP_PKEY_CTX_free(EVP_MD_CTX_get_pkey_ctx(ctx));
EVP_MD_CTX_free(ctx);
}
return rv;
}
int ASN1_item_verify_ctx(const ASN1_ITEM *it, const X509_ALGOR *alg,
const ASN1_BIT_STRING *signature, const void *data,
EVP_MD_CTX *ctx)
{
EVP_PKEY *pkey;
unsigned char *buf_in = NULL;
int ret = -1, inl = 0;
int mdnid, pknid;
size_t inll = 0;
pkey = EVP_PKEY_CTX_get0_pkey(EVP_MD_CTX_get_pkey_ctx(ctx));
if (pkey == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_PASSED_NULL_PARAMETER);
return -1;
}
if (signature->type == V_ASN1_BIT_STRING && signature->flags & 0x7) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_INVALID_BIT_STRING_BITS_LEFT);
return -1;
}
/* Convert signature OID into digest and public key OIDs */
if (!OBJ_find_sigid_algs(OBJ_obj2nid(alg->algorithm), &mdnid, &pknid)) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_UNKNOWN_SIGNATURE_ALGORITHM);
goto err;
}
if (mdnid == NID_undef && evp_pkey_is_legacy(pkey)) {
if (pkey->ameth == NULL || pkey->ameth->item_verify == NULL) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_UNKNOWN_SIGNATURE_ALGORITHM);
goto err;
}
ret = pkey->ameth->item_verify(ctx, it, data, alg, signature, pkey);
/*
* Return values meaning:
* <=0: error.
* 1: method does everything.
* 2: carry on as normal, method has called EVP_DigestVerifyInit()
*/
if (ret <= 0)
ERR_raise(ERR_LIB_ASN1, ERR_R_EVP_LIB);
if (ret <= 1)
goto err;
} else {
const EVP_MD *type = NULL;
/*
* We don't yet have the ability for providers to be able to handle
* X509_ALGOR style parameters. Fortunately the only one that needs this
* so far is RSA-PSS, so we just special case this for now. In some
* future version of OpenSSL we should push this to the provider.
*/
if (mdnid == NID_undef && pknid == EVP_PKEY_RSA_PSS) {
if (!EVP_PKEY_is_a(pkey, "RSA") && !EVP_PKEY_is_a(pkey, "RSA-PSS")) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_WRONG_PUBLIC_KEY_TYPE);
goto err;
}
/* This function also calls EVP_DigestVerifyInit */
if (ossl_rsa_pss_to_ctx(ctx, NULL, alg, pkey) <= 0) {
ERR_raise(ERR_LIB_ASN1, ERR_R_INTERNAL_ERROR);
goto err;
}
} else {
/* Check public key OID matches public key type */
if (!EVP_PKEY_is_a(pkey, OBJ_nid2sn(pknid))) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_WRONG_PUBLIC_KEY_TYPE);
goto err;
}
if (mdnid != NID_undef) {
type = EVP_get_digestbynid(mdnid);
if (type == NULL) {
ERR_raise_data(ERR_LIB_ASN1,
ASN1_R_UNKNOWN_MESSAGE_DIGEST_ALGORITHM,
"nid=0x%x", mdnid);
goto err;
}
}
/*
* Note that some algorithms (notably Ed25519 and Ed448) may allow
* a NULL digest value.
*/
if (!EVP_DigestVerifyInit(ctx, NULL, type, NULL, pkey)) {
ERR_raise(ERR_LIB_ASN1, ERR_R_EVP_LIB);
ret = 0;
goto err;
}
}
}
inl = ASN1_item_i2d(data, &buf_in, it);
if (inl <= 0) {
ERR_raise(ERR_LIB_ASN1, ERR_R_INTERNAL_ERROR);
goto err;
}
if (buf_in == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
inll = inl;
ret = EVP_DigestVerify(ctx, signature->data, (size_t)signature->length,
buf_in, inl);
if (ret <= 0) {
ERR_raise(ERR_LIB_ASN1, ERR_R_EVP_LIB);
goto err;
}
ret = 1;
err:
OPENSSL_clear_free(buf_in, inll);
return ret;
}
|
./openssl/crypto/asn1/asn1_err.c | /*
* Generated by util/mkerr.pl DO NOT EDIT
* Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <openssl/err.h>
#include <openssl/asn1err.h>
#include "crypto/asn1err.h"
#ifndef OPENSSL_NO_ERR
static const ERR_STRING_DATA ASN1_str_reasons[] = {
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ADDING_OBJECT), "adding object"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ASN1_PARSE_ERROR), "asn1 parse error"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ASN1_SIG_PARSE_ERROR),
"asn1 sig parse error"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_AUX_ERROR), "aux error"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_BAD_OBJECT_HEADER), "bad object header"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_BAD_TEMPLATE), "bad template"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_BMPSTRING_IS_WRONG_LENGTH),
"bmpstring is wrong length"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_BN_LIB), "bn lib"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_BOOLEAN_IS_WRONG_LENGTH),
"boolean is wrong length"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_BUFFER_TOO_SMALL), "buffer too small"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_CIPHER_HAS_NO_OBJECT_IDENTIFIER),
"cipher has no object identifier"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_CONTEXT_NOT_INITIALISED),
"context not initialised"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_DATA_IS_WRONG), "data is wrong"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_DECODE_ERROR), "decode error"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_DEPTH_EXCEEDED), "depth exceeded"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_DIGEST_AND_KEY_TYPE_NOT_SUPPORTED),
"digest and key type not supported"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ENCODE_ERROR), "encode error"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ERROR_GETTING_TIME),
"error getting time"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ERROR_LOADING_SECTION),
"error loading section"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ERROR_SETTING_CIPHER_PARAMS),
"error setting cipher params"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_EXPECTING_AN_INTEGER),
"expecting an integer"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_EXPECTING_AN_OBJECT),
"expecting an object"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_EXPLICIT_LENGTH_MISMATCH),
"explicit length mismatch"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_EXPLICIT_TAG_NOT_CONSTRUCTED),
"explicit tag not constructed"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_FIELD_MISSING), "field missing"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_FIRST_NUM_TOO_LARGE),
"first num too large"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_HEADER_TOO_LONG), "header too long"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_BITSTRING_FORMAT),
"illegal bitstring format"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_BOOLEAN), "illegal boolean"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_CHARACTERS),
"illegal characters"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_FORMAT), "illegal format"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_HEX), "illegal hex"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_IMPLICIT_TAG),
"illegal implicit tag"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_INTEGER), "illegal integer"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_NEGATIVE_VALUE),
"illegal negative value"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_NESTED_TAGGING),
"illegal nested tagging"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_NULL), "illegal null"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_NULL_VALUE),
"illegal null value"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_OBJECT), "illegal object"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_OPTIONAL_ANY),
"illegal optional any"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_OPTIONS_ON_ITEM_TEMPLATE),
"illegal options on item template"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_PADDING), "illegal padding"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_TAGGED_ANY),
"illegal tagged any"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_TIME_VALUE),
"illegal time value"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ILLEGAL_ZERO_CONTENT),
"illegal zero content"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_INTEGER_NOT_ASCII_FORMAT),
"integer not ascii format"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_INTEGER_TOO_LARGE_FOR_LONG),
"integer too large for long"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_INVALID_BIT_STRING_BITS_LEFT),
"invalid bit string bits left"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_INVALID_BMPSTRING_LENGTH),
"invalid bmpstring length"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_INVALID_DIGIT), "invalid digit"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_INVALID_MIME_TYPE), "invalid mime type"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_INVALID_MODIFIER), "invalid modifier"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_INVALID_NUMBER), "invalid number"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_INVALID_OBJECT_ENCODING),
"invalid object encoding"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_INVALID_SCRYPT_PARAMETERS),
"invalid scrypt parameters"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_INVALID_SEPARATOR), "invalid separator"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_INVALID_STRING_TABLE_VALUE),
"invalid string table value"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_INVALID_UNIVERSALSTRING_LENGTH),
"invalid universalstring length"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_INVALID_UTF8STRING),
"invalid utf8string"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_INVALID_VALUE), "invalid value"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_LENGTH_TOO_LONG), "length too long"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_LIST_ERROR), "list error"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_MIME_NO_CONTENT_TYPE),
"mime no content type"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_MIME_PARSE_ERROR), "mime parse error"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_MIME_SIG_PARSE_ERROR),
"mime sig parse error"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_MISSING_EOC), "missing eoc"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_MISSING_SECOND_NUMBER),
"missing second number"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_MISSING_VALUE), "missing value"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_MSTRING_NOT_UNIVERSAL),
"mstring not universal"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_MSTRING_WRONG_TAG), "mstring wrong tag"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_NESTED_ASN1_STRING),
"nested asn1 string"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_NESTED_TOO_DEEP), "nested too deep"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_NON_HEX_CHARACTERS),
"non hex characters"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_NOT_ASCII_FORMAT), "not ascii format"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_NOT_ENOUGH_DATA), "not enough data"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_NO_CONTENT_TYPE), "no content type"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_NO_MATCHING_CHOICE_TYPE),
"no matching choice type"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_NO_MULTIPART_BODY_FAILURE),
"no multipart body failure"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_NO_MULTIPART_BOUNDARY),
"no multipart boundary"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_NO_SIG_CONTENT_TYPE),
"no sig content type"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_NULL_IS_WRONG_LENGTH),
"null is wrong length"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_OBJECT_NOT_ASCII_FORMAT),
"object not ascii format"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_ODD_NUMBER_OF_CHARS),
"odd number of chars"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_SECOND_NUMBER_TOO_LARGE),
"second number too large"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_SEQUENCE_LENGTH_MISMATCH),
"sequence length mismatch"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_SEQUENCE_NOT_CONSTRUCTED),
"sequence not constructed"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_SEQUENCE_OR_SET_NEEDS_CONFIG),
"sequence or set needs config"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_SHORT_LINE), "short line"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_SIG_INVALID_MIME_TYPE),
"sig invalid mime type"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_STREAMING_NOT_SUPPORTED),
"streaming not supported"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_STRING_TOO_LONG), "string too long"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_STRING_TOO_SHORT), "string too short"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_THE_ASN1_OBJECT_IDENTIFIER_IS_NOT_KNOWN_FOR_THIS_MD),
"the asn1 object identifier is not known for this md"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_TIME_NOT_ASCII_FORMAT),
"time not ascii format"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_TOO_LARGE), "too large"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_TOO_LONG), "too long"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_TOO_SMALL), "too small"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_TYPE_NOT_CONSTRUCTED),
"type not constructed"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_TYPE_NOT_PRIMITIVE),
"type not primitive"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_UNEXPECTED_EOC), "unexpected eoc"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_UNIVERSALSTRING_IS_WRONG_LENGTH),
"universalstring is wrong length"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_UNKNOWN_DIGEST), "unknown digest"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_UNKNOWN_FORMAT), "unknown format"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_UNKNOWN_MESSAGE_DIGEST_ALGORITHM),
"unknown message digest algorithm"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_UNKNOWN_OBJECT_TYPE),
"unknown object type"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_UNKNOWN_PUBLIC_KEY_TYPE),
"unknown public key type"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_UNKNOWN_SIGNATURE_ALGORITHM),
"unknown signature algorithm"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_UNKNOWN_TAG), "unknown tag"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_UNSUPPORTED_ANY_DEFINED_BY_TYPE),
"unsupported any defined by type"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_UNSUPPORTED_CIPHER),
"unsupported cipher"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_UNSUPPORTED_PUBLIC_KEY_TYPE),
"unsupported public key type"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_UNSUPPORTED_TYPE), "unsupported type"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_WRONG_INTEGER_TYPE),
"wrong integer type"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_WRONG_PUBLIC_KEY_TYPE),
"wrong public key type"},
{ERR_PACK(ERR_LIB_ASN1, 0, ASN1_R_WRONG_TAG), "wrong tag"},
{0, NULL}
};
#endif
int ossl_err_load_ASN1_strings(void)
{
#ifndef OPENSSL_NO_ERR
if (ERR_reason_error_string(ASN1_str_reasons[0].error) == NULL)
ERR_load_strings_const(ASN1_str_reasons);
#endif
return 1;
}
|
./openssl/crypto/asn1/a_time.c | /*
* Copyright 1999-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*-
* This is an implementation of the ASN1 Time structure which is:
* Time ::= CHOICE {
* utcTime UTCTime,
* generalTime GeneralizedTime }
*/
#include <stdio.h>
#include <time.h>
#include "crypto/asn1.h"
#include "crypto/ctype.h"
#include "internal/cryptlib.h"
#include <openssl/asn1t.h>
#include "asn1_local.h"
IMPLEMENT_ASN1_MSTRING(ASN1_TIME, B_ASN1_TIME)
IMPLEMENT_ASN1_FUNCTIONS(ASN1_TIME)
IMPLEMENT_ASN1_DUP_FUNCTION(ASN1_TIME)
static int is_utc(const int year)
{
if (50 <= year && year <= 149)
return 1;
return 0;
}
static int leap_year(const int year)
{
if (year % 400 == 0 || (year % 100 != 0 && year % 4 == 0))
return 1;
return 0;
}
/*
* Compute the day of the week and the day of the year from the year, month
* and day. The day of the year is straightforward, the day of the week uses
* a form of Zeller's congruence. For this months start with March and are
* numbered 4 through 15.
*/
static void determine_days(struct tm *tm)
{
static const int ydays[12] = {
0, 31, 59, 90, 120, 151, 181, 212, 243, 273, 304, 334
};
int y = tm->tm_year + 1900;
int m = tm->tm_mon;
int d = tm->tm_mday;
int c;
tm->tm_yday = ydays[m] + d - 1;
if (m >= 2) {
/* March and onwards can be one day further into the year */
tm->tm_yday += leap_year(y);
m += 2;
} else {
/* Treat January and February as part of the previous year */
m += 14;
y--;
}
c = y / 100;
y %= 100;
/* Zeller's congruence */
tm->tm_wday = (d + (13 * m) / 5 + y + y / 4 + c / 4 + 5 * c + 6) % 7;
}
int ossl_asn1_time_to_tm(struct tm *tm, const ASN1_TIME *d)
{
static const int min[9] = { 0, 0, 1, 1, 0, 0, 0, 0, 0 };
static const int max[9] = { 99, 99, 12, 31, 23, 59, 59, 12, 59 };
static const int mdays[12] = { 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31 };
char *a;
int n, i, i2, l, o, min_l = 11, strict = 0, end = 6, btz = 5, md;
struct tm tmp;
#if defined(CHARSET_EBCDIC)
const char upper_z = 0x5A, num_zero = 0x30, period = 0x2E, minus = 0x2D, plus = 0x2B;
#else
const char upper_z = 'Z', num_zero = '0', period = '.', minus = '-', plus = '+';
#endif
/*
* ASN1_STRING_FLAG_X509_TIME is used to enforce RFC 5280
* time string format, in which:
*
* 1. "seconds" is a 'MUST'
* 2. "Zulu" timezone is a 'MUST'
* 3. "+|-" is not allowed to indicate a timezone
*/
if (d->type == V_ASN1_UTCTIME) {
if (d->flags & ASN1_STRING_FLAG_X509_TIME) {
min_l = 13;
strict = 1;
}
} else if (d->type == V_ASN1_GENERALIZEDTIME) {
end = 7;
btz = 6;
if (d->flags & ASN1_STRING_FLAG_X509_TIME) {
min_l = 15;
strict = 1;
} else {
min_l = 13;
}
} else {
return 0;
}
l = d->length;
a = (char *)d->data;
o = 0;
memset(&tmp, 0, sizeof(tmp));
/*
* GENERALIZEDTIME is similar to UTCTIME except the year is represented
* as YYYY. This stuff treats everything as a two digit field so make
* first two fields 00 to 99
*/
if (l < min_l)
goto err;
for (i = 0; i < end; i++) {
if (!strict && (i == btz) && ((a[o] == upper_z) || (a[o] == plus) || (a[o] == minus))) {
i++;
break;
}
if (!ossl_ascii_isdigit(a[o]))
goto err;
n = a[o] - num_zero;
/* incomplete 2-digital number */
if (++o == l)
goto err;
if (!ossl_ascii_isdigit(a[o]))
goto err;
n = (n * 10) + a[o] - num_zero;
/* no more bytes to read, but we haven't seen time-zone yet */
if (++o == l)
goto err;
i2 = (d->type == V_ASN1_UTCTIME) ? i + 1 : i;
if ((n < min[i2]) || (n > max[i2]))
goto err;
switch (i2) {
case 0:
/* UTC will never be here */
tmp.tm_year = n * 100 - 1900;
break;
case 1:
if (d->type == V_ASN1_UTCTIME)
tmp.tm_year = n < 50 ? n + 100 : n;
else
tmp.tm_year += n;
break;
case 2:
tmp.tm_mon = n - 1;
break;
case 3:
/* check if tm_mday is valid in tm_mon */
if (tmp.tm_mon == 1) {
/* it's February */
md = mdays[1] + leap_year(tmp.tm_year + 1900);
} else {
md = mdays[tmp.tm_mon];
}
if (n > md)
goto err;
tmp.tm_mday = n;
determine_days(&tmp);
break;
case 4:
tmp.tm_hour = n;
break;
case 5:
tmp.tm_min = n;
break;
case 6:
tmp.tm_sec = n;
break;
}
}
/*
* Optional fractional seconds: decimal point followed by one or more
* digits.
*/
if (d->type == V_ASN1_GENERALIZEDTIME && a[o] == period) {
if (strict)
/* RFC 5280 forbids fractional seconds */
goto err;
if (++o == l)
goto err;
i = o;
while ((o < l) && ossl_ascii_isdigit(a[o]))
o++;
/* Must have at least one digit after decimal point */
if (i == o)
goto err;
/* no more bytes to read, but we haven't seen time-zone yet */
if (o == l)
goto err;
}
/*
* 'o' will never point to '\0' at this point, the only chance
* 'o' can point to '\0' is either the subsequent if or the first
* else if is true.
*/
if (a[o] == upper_z) {
o++;
} else if (!strict && ((a[o] == plus) || (a[o] == minus))) {
int offsign = a[o] == minus ? 1 : -1;
int offset = 0;
o++;
/*
* if not equal, no need to do subsequent checks
* since the following for-loop will add 'o' by 4
* and the final return statement will check if 'l'
* and 'o' are equal.
*/
if (o + 4 != l)
goto err;
for (i = end; i < end + 2; i++) {
if (!ossl_ascii_isdigit(a[o]))
goto err;
n = a[o] - num_zero;
o++;
if (!ossl_ascii_isdigit(a[o]))
goto err;
n = (n * 10) + a[o] - num_zero;
i2 = (d->type == V_ASN1_UTCTIME) ? i + 1 : i;
if ((n < min[i2]) || (n > max[i2]))
goto err;
/* if tm is NULL, no need to adjust */
if (tm != NULL) {
if (i == end)
offset = n * 3600;
else if (i == end + 1)
offset += n * 60;
}
o++;
}
if (offset && !OPENSSL_gmtime_adj(&tmp, 0, offset * offsign))
goto err;
} else {
/* not Z, or not +/- in non-strict mode */
goto err;
}
if (o == l) {
/* success, check if tm should be filled */
if (tm != NULL)
*tm = tmp;
return 1;
}
err:
return 0;
}
ASN1_TIME *ossl_asn1_time_from_tm(ASN1_TIME *s, struct tm *ts, int type)
{
char* p;
ASN1_TIME *tmps = NULL;
const size_t len = 20;
if (type == V_ASN1_UNDEF) {
if (is_utc(ts->tm_year))
type = V_ASN1_UTCTIME;
else
type = V_ASN1_GENERALIZEDTIME;
} else if (type == V_ASN1_UTCTIME) {
if (!is_utc(ts->tm_year))
goto err;
} else if (type != V_ASN1_GENERALIZEDTIME) {
goto err;
}
if (s == NULL)
tmps = ASN1_STRING_new();
else
tmps = s;
if (tmps == NULL)
return NULL;
if (!ASN1_STRING_set(tmps, NULL, len))
goto err;
tmps->type = type;
p = (char*)tmps->data;
if (ts->tm_mon > INT_MAX - 1)
goto err;
if (type == V_ASN1_GENERALIZEDTIME) {
if (ts->tm_year > INT_MAX - 1900)
goto err;
tmps->length = BIO_snprintf(p, len, "%04d%02d%02d%02d%02d%02dZ",
ts->tm_year + 1900, ts->tm_mon + 1,
ts->tm_mday, ts->tm_hour, ts->tm_min,
ts->tm_sec);
} else {
tmps->length = BIO_snprintf(p, len, "%02d%02d%02d%02d%02d%02dZ",
ts->tm_year % 100, ts->tm_mon + 1,
ts->tm_mday, ts->tm_hour, ts->tm_min,
ts->tm_sec);
}
#ifdef CHARSET_EBCDIC
ebcdic2ascii(tmps->data, tmps->data, tmps->length);
#endif
return tmps;
err:
if (tmps != s)
ASN1_STRING_free(tmps);
return NULL;
}
ASN1_TIME *ASN1_TIME_set(ASN1_TIME *s, time_t t)
{
return ASN1_TIME_adj(s, t, 0, 0);
}
ASN1_TIME *ASN1_TIME_adj(ASN1_TIME *s, time_t t,
int offset_day, long offset_sec)
{
struct tm *ts;
struct tm data;
ts = OPENSSL_gmtime(&t, &data);
if (ts == NULL) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ERROR_GETTING_TIME);
return NULL;
}
if (offset_day || offset_sec) {
if (!OPENSSL_gmtime_adj(ts, offset_day, offset_sec))
return NULL;
}
return ossl_asn1_time_from_tm(s, ts, V_ASN1_UNDEF);
}
int ASN1_TIME_check(const ASN1_TIME *t)
{
if (t->type == V_ASN1_GENERALIZEDTIME)
return ASN1_GENERALIZEDTIME_check(t);
else if (t->type == V_ASN1_UTCTIME)
return ASN1_UTCTIME_check(t);
return 0;
}
/* Convert an ASN1_TIME structure to GeneralizedTime */
ASN1_GENERALIZEDTIME *ASN1_TIME_to_generalizedtime(const ASN1_TIME *t,
ASN1_GENERALIZEDTIME **out)
{
ASN1_GENERALIZEDTIME *ret = NULL;
struct tm tm;
if (!ASN1_TIME_to_tm(t, &tm))
return NULL;
if (out != NULL)
ret = *out;
ret = ossl_asn1_time_from_tm(ret, &tm, V_ASN1_GENERALIZEDTIME);
if (out != NULL && ret != NULL)
*out = ret;
return ret;
}
int ASN1_TIME_set_string(ASN1_TIME *s, const char *str)
{
/* Try UTC, if that fails, try GENERALIZED */
if (ASN1_UTCTIME_set_string(s, str))
return 1;
return ASN1_GENERALIZEDTIME_set_string(s, str);
}
int ASN1_TIME_set_string_X509(ASN1_TIME *s, const char *str)
{
ASN1_TIME t;
struct tm tm;
int rv = 0;
t.length = strlen(str);
t.data = (unsigned char *)str;
t.flags = ASN1_STRING_FLAG_X509_TIME;
t.type = V_ASN1_UTCTIME;
if (!ASN1_TIME_check(&t)) {
t.type = V_ASN1_GENERALIZEDTIME;
if (!ASN1_TIME_check(&t))
goto out;
}
/*
* Per RFC 5280 (section 4.1.2.5.), the valid input time
* strings should be encoded with the following rules:
*
* 1. UTC: YYMMDDHHMMSSZ, if YY < 50 (20YY) --> UTC: YYMMDDHHMMSSZ
* 2. UTC: YYMMDDHHMMSSZ, if YY >= 50 (19YY) --> UTC: YYMMDDHHMMSSZ
* 3. G'd: YYYYMMDDHHMMSSZ, if YYYY >= 2050 --> G'd: YYYYMMDDHHMMSSZ
* 4. G'd: YYYYMMDDHHMMSSZ, if YYYY < 2050 --> UTC: YYMMDDHHMMSSZ
*
* Only strings of the 4th rule should be reformatted, but since a
* UTC can only present [1950, 2050), so if the given time string
* is less than 1950 (e.g. 19230419000000Z), we do nothing...
*/
if (s != NULL && t.type == V_ASN1_GENERALIZEDTIME) {
if (!ossl_asn1_time_to_tm(&tm, &t))
goto out;
if (is_utc(tm.tm_year)) {
t.length -= 2;
/*
* it's OK to let original t.data go since that's assigned
* to a piece of memory allocated outside of this function.
* new t.data would be freed after ASN1_STRING_copy is done.
*/
t.data = OPENSSL_zalloc(t.length + 1);
if (t.data == NULL)
goto out;
memcpy(t.data, str + 2, t.length);
t.type = V_ASN1_UTCTIME;
}
}
if (s == NULL || ASN1_STRING_copy((ASN1_STRING *)s, (ASN1_STRING *)&t))
rv = 1;
if (t.data != (unsigned char *)str)
OPENSSL_free(t.data);
out:
return rv;
}
int ASN1_TIME_to_tm(const ASN1_TIME *s, struct tm *tm)
{
if (s == NULL) {
time_t now_t;
time(&now_t);
memset(tm, 0, sizeof(*tm));
if (OPENSSL_gmtime(&now_t, tm) != NULL)
return 1;
return 0;
}
return ossl_asn1_time_to_tm(tm, s);
}
int ASN1_TIME_diff(int *pday, int *psec,
const ASN1_TIME *from, const ASN1_TIME *to)
{
struct tm tm_from, tm_to;
if (!ASN1_TIME_to_tm(from, &tm_from))
return 0;
if (!ASN1_TIME_to_tm(to, &tm_to))
return 0;
return OPENSSL_gmtime_diff(pday, psec, &tm_from, &tm_to);
}
static const char _asn1_mon[12][4] = {
"Jan", "Feb", "Mar", "Apr", "May", "Jun",
"Jul", "Aug", "Sep", "Oct", "Nov", "Dec"
};
/* prints the time with the default date format (RFC 822) */
int ASN1_TIME_print(BIO *bp, const ASN1_TIME *tm)
{
return ASN1_TIME_print_ex(bp, tm, ASN1_DTFLGS_RFC822);
}
/* returns 1 on success, 0 on BIO write error or parse failure */
int ASN1_TIME_print_ex(BIO *bp, const ASN1_TIME *tm, unsigned long flags)
{
return ossl_asn1_time_print_ex(bp, tm, flags) > 0;
}
/* prints the time with the date format of ISO 8601 */
/* returns 0 on BIO write error, else -1 in case of parse failure, else 1 */
int ossl_asn1_time_print_ex(BIO *bp, const ASN1_TIME *tm, unsigned long flags)
{
char *v;
int gmt = 0, l;
struct tm stm;
const char upper_z = 0x5A, period = 0x2E;
/* ossl_asn1_time_to_tm will check the time type */
if (!ossl_asn1_time_to_tm(&stm, tm))
return BIO_write(bp, "Bad time value", 14) ? -1 : 0;
l = tm->length;
v = (char *)tm->data;
if (v[l - 1] == upper_z)
gmt = 1;
if (tm->type == V_ASN1_GENERALIZEDTIME) {
char *f = NULL;
int f_len = 0;
/*
* Try to parse fractional seconds. '14' is the place of
* 'fraction point' in a GeneralizedTime string.
*/
if (tm->length > 15 && v[14] == period) {
f = &v[14];
f_len = 1;
while (14 + f_len < l && ossl_ascii_isdigit(f[f_len]))
++f_len;
}
if ((flags & ASN1_DTFLGS_TYPE_MASK) == ASN1_DTFLGS_ISO8601) {
return BIO_printf(bp, "%4d-%02d-%02d %02d:%02d:%02d%.*s%s",
stm.tm_year + 1900, stm.tm_mon + 1,
stm.tm_mday, stm.tm_hour,
stm.tm_min, stm.tm_sec, f_len, f,
(gmt ? "Z" : "")) > 0;
}
else {
return BIO_printf(bp, "%s %2d %02d:%02d:%02d%.*s %d%s",
_asn1_mon[stm.tm_mon], stm.tm_mday, stm.tm_hour,
stm.tm_min, stm.tm_sec, f_len, f, stm.tm_year + 1900,
(gmt ? " GMT" : "")) > 0;
}
} else {
if ((flags & ASN1_DTFLGS_TYPE_MASK) == ASN1_DTFLGS_ISO8601) {
return BIO_printf(bp, "%4d-%02d-%02d %02d:%02d:%02d%s",
stm.tm_year + 1900, stm.tm_mon + 1,
stm.tm_mday, stm.tm_hour,
stm.tm_min, stm.tm_sec,
(gmt ? "Z" : "")) > 0;
}
else {
return BIO_printf(bp, "%s %2d %02d:%02d:%02d %d%s",
_asn1_mon[stm.tm_mon], stm.tm_mday, stm.tm_hour,
stm.tm_min, stm.tm_sec, stm.tm_year + 1900,
(gmt ? " GMT" : "")) > 0;
}
}
}
int ASN1_TIME_cmp_time_t(const ASN1_TIME *s, time_t t)
{
struct tm stm, ttm;
int day, sec;
if (!ASN1_TIME_to_tm(s, &stm))
return -2;
if (!OPENSSL_gmtime(&t, &ttm))
return -2;
if (!OPENSSL_gmtime_diff(&day, &sec, &ttm, &stm))
return -2;
if (day > 0 || sec > 0)
return 1;
if (day < 0 || sec < 0)
return -1;
return 0;
}
int ASN1_TIME_normalize(ASN1_TIME *t)
{
struct tm tm;
if (t == NULL || !ASN1_TIME_to_tm(t, &tm))
return 0;
return ossl_asn1_time_from_tm(t, &tm, V_ASN1_UNDEF) != NULL;
}
int ASN1_TIME_compare(const ASN1_TIME *a, const ASN1_TIME *b)
{
int day, sec;
if (!ASN1_TIME_diff(&day, &sec, b, a))
return -2;
if (day > 0 || sec > 0)
return 1;
if (day < 0 || sec < 0)
return -1;
return 0;
}
/*
* tweak for Windows
*/
#ifdef WIN32
# define timezone _timezone
#endif
#if defined(__FreeBSD__) || defined(__wasi__)
# define USE_TIMEGM
#endif
time_t ossl_asn1_string_to_time_t(const char *asn1_string)
{
ASN1_TIME *timestamp_asn1 = NULL;
struct tm *timestamp_tm = NULL;
#if defined(__DJGPP__)
char *tz = NULL;
#elif !defined(USE_TIMEGM)
time_t timestamp_local;
#endif
time_t timestamp_utc;
timestamp_asn1 = ASN1_TIME_new();
if (!ASN1_TIME_set_string(timestamp_asn1, asn1_string))
{
ASN1_TIME_free(timestamp_asn1);
return -1;
}
timestamp_tm = OPENSSL_malloc(sizeof(*timestamp_tm));
if (timestamp_tm == NULL) {
ASN1_TIME_free(timestamp_asn1);
return -1;
}
if (!(ASN1_TIME_to_tm(timestamp_asn1, timestamp_tm))) {
OPENSSL_free(timestamp_tm);
ASN1_TIME_free(timestamp_asn1);
return -1;
}
ASN1_TIME_free(timestamp_asn1);
#if defined(__DJGPP__)
/*
* This is NOT thread-safe. Do not use this method for platforms other
* than djgpp.
*/
tz = getenv("TZ");
if (tz != NULL) {
tz = OPENSSL_strdup(tz);
if (tz == NULL) {
OPENSSL_free(timestamp_tm);
return -1;
}
}
setenv("TZ", "UTC", 1);
timestamp_utc = mktime(timestamp_tm);
if (tz != NULL) {
setenv("TZ", tz, 1);
OPENSSL_free(tz);
} else {
unsetenv("TZ");
}
#elif defined(USE_TIMEGM)
timestamp_utc = timegm(timestamp_tm);
#else
timestamp_local = mktime(timestamp_tm);
timestamp_utc = timestamp_local - timezone;
#endif
OPENSSL_free(timestamp_tm);
return timestamp_utc;
}
|
./openssl/crypto/asn1/a_type.c | /*
* Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/asn1t.h>
#include <openssl/objects.h>
#include "asn1_local.h"
int ASN1_TYPE_get(const ASN1_TYPE *a)
{
if (a->type == V_ASN1_BOOLEAN
|| a->type == V_ASN1_NULL
|| a->value.ptr != NULL)
return a->type;
else
return 0;
}
void ASN1_TYPE_set(ASN1_TYPE *a, int type, void *value)
{
if (a->type != V_ASN1_BOOLEAN
&& a->type != V_ASN1_NULL
&& a->value.ptr != NULL) {
ASN1_TYPE **tmp_a = &a;
ossl_asn1_primitive_free((ASN1_VALUE **)tmp_a, NULL, 0);
}
a->type = type;
if (type == V_ASN1_BOOLEAN)
a->value.boolean = value ? 0xff : 0;
else
a->value.ptr = value;
}
int ASN1_TYPE_set1(ASN1_TYPE *a, int type, const void *value)
{
if (!value || (type == V_ASN1_BOOLEAN)) {
void *p = (void *)value;
ASN1_TYPE_set(a, type, p);
} else if (type == V_ASN1_OBJECT) {
ASN1_OBJECT *odup;
odup = OBJ_dup(value);
if (!odup)
return 0;
ASN1_TYPE_set(a, type, odup);
} else {
ASN1_STRING *sdup;
sdup = ASN1_STRING_dup(value);
if (!sdup)
return 0;
ASN1_TYPE_set(a, type, sdup);
}
return 1;
}
/* Returns 0 if they are equal, != 0 otherwise. */
int ASN1_TYPE_cmp(const ASN1_TYPE *a, const ASN1_TYPE *b)
{
int result = -1;
if (!a || !b || a->type != b->type)
return -1;
switch (a->type) {
case V_ASN1_OBJECT:
result = OBJ_cmp(a->value.object, b->value.object);
break;
case V_ASN1_BOOLEAN:
result = a->value.boolean - b->value.boolean;
break;
case V_ASN1_NULL:
result = 0; /* They do not have content. */
break;
case V_ASN1_INTEGER:
case V_ASN1_ENUMERATED:
case V_ASN1_BIT_STRING:
case V_ASN1_OCTET_STRING:
case V_ASN1_SEQUENCE:
case V_ASN1_SET:
case V_ASN1_NUMERICSTRING:
case V_ASN1_PRINTABLESTRING:
case V_ASN1_T61STRING:
case V_ASN1_VIDEOTEXSTRING:
case V_ASN1_IA5STRING:
case V_ASN1_UTCTIME:
case V_ASN1_GENERALIZEDTIME:
case V_ASN1_GRAPHICSTRING:
case V_ASN1_VISIBLESTRING:
case V_ASN1_GENERALSTRING:
case V_ASN1_UNIVERSALSTRING:
case V_ASN1_BMPSTRING:
case V_ASN1_UTF8STRING:
case V_ASN1_OTHER:
default:
result = ASN1_STRING_cmp((ASN1_STRING *)a->value.ptr,
(ASN1_STRING *)b->value.ptr);
break;
}
return result;
}
ASN1_TYPE *ASN1_TYPE_pack_sequence(const ASN1_ITEM *it, void *s, ASN1_TYPE **t)
{
ASN1_OCTET_STRING *oct;
ASN1_TYPE *rt;
oct = ASN1_item_pack(s, it, NULL);
if (oct == NULL)
return NULL;
if (t && *t) {
rt = *t;
} else {
rt = ASN1_TYPE_new();
if (rt == NULL) {
ASN1_OCTET_STRING_free(oct);
return NULL;
}
if (t)
*t = rt;
}
ASN1_TYPE_set(rt, V_ASN1_SEQUENCE, oct);
return rt;
}
void *ASN1_TYPE_unpack_sequence(const ASN1_ITEM *it, const ASN1_TYPE *t)
{
if (t == NULL || t->type != V_ASN1_SEQUENCE || t->value.sequence == NULL)
return NULL;
return ASN1_item_unpack(t->value.sequence, it);
}
|
./openssl/crypto/asn1/asn1_parse.c | /*
* Copyright 1995-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/buffer.h>
#include <openssl/objects.h>
#include <openssl/asn1.h>
#ifndef ASN1_PARSE_MAXDEPTH
#define ASN1_PARSE_MAXDEPTH 128
#endif
static int asn1_parse2(BIO *bp, const unsigned char **pp, long length,
int offset, int depth, int indent, int dump);
static int asn1_print_info(BIO *bp, long offset, int depth, int hl, long len,
int tag, int xclass, int constructed, int indent)
{
char str[128];
const char *p;
int pop_f_prefix = 0;
long saved_indent = -1;
int i = 0;
BIO *bio = NULL;
if (constructed & V_ASN1_CONSTRUCTED)
p = "cons: ";
else
p = "prim: ";
if (constructed != (V_ASN1_CONSTRUCTED | 1)) {
if (BIO_snprintf(str, sizeof(str), "%5ld:d=%-2d hl=%ld l=%4ld %s",
offset, depth, (long)hl, len, p) <= 0)
goto err;
} else {
if (BIO_snprintf(str, sizeof(str), "%5ld:d=%-2d hl=%ld l=inf %s",
offset, depth, (long)hl, p) <= 0)
goto err;
}
if (bp != NULL) {
if (BIO_set_prefix(bp, str) <= 0) {
if ((bio = BIO_new(BIO_f_prefix())) == NULL
|| (bp = BIO_push(bio, bp)) == NULL)
goto err;
pop_f_prefix = 1;
}
saved_indent = BIO_get_indent(bp);
if (BIO_set_prefix(bp, str) <= 0 || BIO_set_indent(bp, indent) <= 0)
goto err;
}
/*
* BIO_set_prefix made a copy of |str|, so we can safely use it for
* something else, ASN.1 tag printout.
*/
p = str;
if ((xclass & V_ASN1_PRIVATE) == V_ASN1_PRIVATE)
BIO_snprintf(str, sizeof(str), "priv [ %d ] ", tag);
else if ((xclass & V_ASN1_CONTEXT_SPECIFIC) == V_ASN1_CONTEXT_SPECIFIC)
BIO_snprintf(str, sizeof(str), "cont [ %d ]", tag);
else if ((xclass & V_ASN1_APPLICATION) == V_ASN1_APPLICATION)
BIO_snprintf(str, sizeof(str), "appl [ %d ]", tag);
else if (tag > 30)
BIO_snprintf(str, sizeof(str), "<ASN1 %d>", tag);
else
p = ASN1_tag2str(tag);
i = (BIO_printf(bp, "%-18s", p) > 0);
err:
if (saved_indent >= 0)
BIO_set_indent(bp, saved_indent);
if (pop_f_prefix)
BIO_pop(bp);
BIO_free(bio);
return i;
}
int ASN1_parse(BIO *bp, const unsigned char *pp, long len, int indent)
{
return asn1_parse2(bp, &pp, len, 0, 0, indent, 0);
}
int ASN1_parse_dump(BIO *bp, const unsigned char *pp, long len, int indent,
int dump)
{
return asn1_parse2(bp, &pp, len, 0, 0, indent, dump);
}
static int asn1_parse2(BIO *bp, const unsigned char **pp, long length,
int offset, int depth, int indent, int dump)
{
const unsigned char *p, *ep, *tot, *op, *opp;
long len;
int tag, xclass, ret = 0;
int nl, hl, j, r;
ASN1_OBJECT *o = NULL;
ASN1_OCTET_STRING *os = NULL;
ASN1_INTEGER *ai = NULL;
ASN1_ENUMERATED *ae = NULL;
/* ASN1_BMPSTRING *bmp=NULL; */
int dump_indent, dump_cont = 0;
if (depth > ASN1_PARSE_MAXDEPTH) {
BIO_puts(bp, "BAD RECURSION DEPTH\n");
return 0;
}
dump_indent = 6; /* Because we know BIO_dump_indent() */
p = *pp;
tot = p + length;
while (length > 0) {
op = p;
j = ASN1_get_object(&p, &len, &tag, &xclass, length);
if (j & 0x80) {
BIO_puts(bp, "Error in encoding\n");
goto end;
}
hl = (p - op);
length -= hl;
/*
* if j == 0x21 it is a constructed indefinite length object
*/
if (!asn1_print_info(bp, (long)offset + (long)(op - *pp), depth,
hl, len, tag, xclass, j, (indent) ? depth : 0))
goto end;
if (j & V_ASN1_CONSTRUCTED) {
const unsigned char *sp = p;
ep = p + len;
if (BIO_write(bp, "\n", 1) <= 0)
goto end;
if (len > length) {
BIO_printf(bp, "length is greater than %ld\n", length);
goto end;
}
if ((j == 0x21) && (len == 0)) {
for (;;) {
r = asn1_parse2(bp, &p, (long)(tot - p),
offset + (p - *pp), depth + 1,
indent, dump);
if (r == 0)
goto end;
if ((r == 2) || (p >= tot)) {
len = p - sp;
break;
}
}
} else {
long tmp = len;
while (p < ep) {
sp = p;
r = asn1_parse2(bp, &p, tmp,
offset + (p - *pp), depth + 1,
indent, dump);
if (r == 0)
goto end;
tmp -= p - sp;
}
}
} else if (xclass != 0) {
p += len;
if (BIO_write(bp, "\n", 1) <= 0)
goto end;
} else {
nl = 0;
if ((tag == V_ASN1_PRINTABLESTRING) ||
(tag == V_ASN1_T61STRING) ||
(tag == V_ASN1_IA5STRING) ||
(tag == V_ASN1_VISIBLESTRING) ||
(tag == V_ASN1_NUMERICSTRING) ||
(tag == V_ASN1_UTF8STRING) ||
(tag == V_ASN1_UTCTIME) || (tag == V_ASN1_GENERALIZEDTIME)) {
if (BIO_write(bp, ":", 1) <= 0)
goto end;
if ((len > 0) && BIO_write(bp, (const char *)p, (int)len)
!= (int)len)
goto end;
} else if (tag == V_ASN1_OBJECT) {
opp = op;
if (d2i_ASN1_OBJECT(&o, &opp, len + hl) != NULL) {
if (BIO_write(bp, ":", 1) <= 0)
goto end;
i2a_ASN1_OBJECT(bp, o);
} else {
if (BIO_puts(bp, ":BAD OBJECT") <= 0)
goto end;
dump_cont = 1;
}
} else if (tag == V_ASN1_BOOLEAN) {
if (len != 1) {
if (BIO_puts(bp, ":BAD BOOLEAN") <= 0)
goto end;
dump_cont = 1;
}
if (len > 0)
BIO_printf(bp, ":%u", p[0]);
} else if (tag == V_ASN1_BMPSTRING) {
/* do the BMP thang */
} else if (tag == V_ASN1_OCTET_STRING) {
int i, printable = 1;
opp = op;
os = d2i_ASN1_OCTET_STRING(NULL, &opp, len + hl);
if (os != NULL && os->length > 0) {
opp = os->data;
/*
* testing whether the octet string is printable
*/
for (i = 0; i < os->length; i++) {
if (((opp[i] < ' ') &&
(opp[i] != '\n') &&
(opp[i] != '\r') &&
(opp[i] != '\t')) || (opp[i] > '~')) {
printable = 0;
break;
}
}
if (printable)
/* printable string */
{
if (BIO_write(bp, ":", 1) <= 0)
goto end;
if (BIO_write(bp, (const char *)opp, os->length) <= 0)
goto end;
} else if (!dump)
/*
* not printable => print octet string as hex dump
*/
{
if (BIO_write(bp, "[HEX DUMP]:", 11) <= 0)
goto end;
for (i = 0; i < os->length; i++) {
if (BIO_printf(bp, "%02X", opp[i]) <= 0)
goto end;
}
} else
/* print the normal dump */
{
if (!nl) {
if (BIO_write(bp, "\n", 1) <= 0)
goto end;
}
if (BIO_dump_indent(bp,
(const char *)opp,
((dump == -1 || dump >
os->
length) ? os->length : dump),
dump_indent) <= 0)
goto end;
nl = 1;
}
}
ASN1_OCTET_STRING_free(os);
os = NULL;
} else if (tag == V_ASN1_INTEGER) {
int i;
opp = op;
ai = d2i_ASN1_INTEGER(NULL, &opp, len + hl);
if (ai != NULL) {
if (BIO_write(bp, ":", 1) <= 0)
goto end;
if (ai->type == V_ASN1_NEG_INTEGER)
if (BIO_write(bp, "-", 1) <= 0)
goto end;
for (i = 0; i < ai->length; i++) {
if (BIO_printf(bp, "%02X", ai->data[i]) <= 0)
goto end;
}
if (ai->length == 0) {
if (BIO_write(bp, "00", 2) <= 0)
goto end;
}
} else {
if (BIO_puts(bp, ":BAD INTEGER") <= 0)
goto end;
dump_cont = 1;
}
ASN1_INTEGER_free(ai);
ai = NULL;
} else if (tag == V_ASN1_ENUMERATED) {
int i;
opp = op;
ae = d2i_ASN1_ENUMERATED(NULL, &opp, len + hl);
if (ae != NULL) {
if (BIO_write(bp, ":", 1) <= 0)
goto end;
if (ae->type == V_ASN1_NEG_ENUMERATED)
if (BIO_write(bp, "-", 1) <= 0)
goto end;
for (i = 0; i < ae->length; i++) {
if (BIO_printf(bp, "%02X", ae->data[i]) <= 0)
goto end;
}
if (ae->length == 0) {
if (BIO_write(bp, "00", 2) <= 0)
goto end;
}
} else {
if (BIO_puts(bp, ":BAD ENUMERATED") <= 0)
goto end;
dump_cont = 1;
}
ASN1_ENUMERATED_free(ae);
ae = NULL;
} else if (len > 0 && dump) {
if (!nl) {
if (BIO_write(bp, "\n", 1) <= 0)
goto end;
}
if (BIO_dump_indent(bp, (const char *)p,
((dump == -1 || dump > len) ? len : dump),
dump_indent) <= 0)
goto end;
nl = 1;
}
if (dump_cont) {
int i;
const unsigned char *tmp = op + hl;
if (BIO_puts(bp, ":[") <= 0)
goto end;
for (i = 0; i < len; i++) {
if (BIO_printf(bp, "%02X", tmp[i]) <= 0)
goto end;
}
if (BIO_puts(bp, "]") <= 0)
goto end;
dump_cont = 0;
}
if (!nl) {
if (BIO_write(bp, "\n", 1) <= 0)
goto end;
}
p += len;
if ((tag == V_ASN1_EOC) && (xclass == 0)) {
ret = 2; /* End of sequence */
goto end;
}
}
length -= len;
}
ret = 1;
end:
ASN1_OBJECT_free(o);
ASN1_OCTET_STRING_free(os);
ASN1_INTEGER_free(ai);
ASN1_ENUMERATED_free(ae);
*pp = p;
return ret;
}
const char *ASN1_tag2str(int tag)
{
static const char *const tag2str[] = {
/* 0-4 */
"EOC", "BOOLEAN", "INTEGER", "BIT STRING", "OCTET STRING",
/* 5-9 */
"NULL", "OBJECT", "OBJECT DESCRIPTOR", "EXTERNAL", "REAL",
/* 10-13 */
"ENUMERATED", "<ASN1 11>", "UTF8STRING", "<ASN1 13>",
/* 15-17 */
"<ASN1 14>", "<ASN1 15>", "SEQUENCE", "SET",
/* 18-20 */
"NUMERICSTRING", "PRINTABLESTRING", "T61STRING",
/* 21-24 */
"VIDEOTEXSTRING", "IA5STRING", "UTCTIME", "GENERALIZEDTIME",
/* 25-27 */
"GRAPHICSTRING", "VISIBLESTRING", "GENERALSTRING",
/* 28-30 */
"UNIVERSALSTRING", "<ASN1 29>", "BMPSTRING"
};
if ((tag == V_ASN1_NEG_INTEGER) || (tag == V_ASN1_NEG_ENUMERATED))
tag &= ~0x100;
if (tag < 0 || tag > 30)
return "(unknown)";
return tag2str[tag];
}
|
./openssl/crypto/asn1/evp_asn1.c | /*
* Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
#include "crypto/asn1.h"
int ASN1_TYPE_set_octetstring(ASN1_TYPE *a, unsigned char *data, int len)
{
ASN1_STRING *os;
if ((os = ASN1_OCTET_STRING_new()) == NULL)
return 0;
if (!ASN1_OCTET_STRING_set(os, data, len)) {
ASN1_OCTET_STRING_free(os);
return 0;
}
ASN1_TYPE_set(a, V_ASN1_OCTET_STRING, os);
return 1;
}
/* int max_len: for returned value
* if passing NULL in data, nothing is copied but the necessary length
* for it is returned.
*/
int ASN1_TYPE_get_octetstring(const ASN1_TYPE *a, unsigned char *data, int max_len)
{
int ret, num;
const unsigned char *p;
if ((a->type != V_ASN1_OCTET_STRING) || (a->value.octet_string == NULL)) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_DATA_IS_WRONG);
return -1;
}
p = ASN1_STRING_get0_data(a->value.octet_string);
ret = ASN1_STRING_length(a->value.octet_string);
if (ret < max_len)
num = ret;
else
num = max_len;
if (num > 0 && data != NULL)
memcpy(data, p, num);
return ret;
}
static ossl_inline void asn1_type_init_oct(ASN1_OCTET_STRING *oct,
unsigned char *data, int len)
{
oct->data = data;
oct->type = V_ASN1_OCTET_STRING;
oct->length = len;
oct->flags = 0;
}
static int asn1_type_get_int_oct(ASN1_OCTET_STRING *oct, int32_t anum,
long *num, unsigned char *data, int max_len)
{
int ret = ASN1_STRING_length(oct), n;
if (num != NULL)
*num = anum;
if (max_len > ret)
n = ret;
else
n = max_len;
if (data != NULL)
memcpy(data, ASN1_STRING_get0_data(oct), n);
return ret;
}
typedef struct {
int32_t num;
ASN1_OCTET_STRING *oct;
} asn1_int_oct;
ASN1_SEQUENCE(asn1_int_oct) = {
ASN1_EMBED(asn1_int_oct, num, INT32),
ASN1_SIMPLE(asn1_int_oct, oct, ASN1_OCTET_STRING)
} static_ASN1_SEQUENCE_END(asn1_int_oct)
DECLARE_ASN1_ITEM(asn1_int_oct)
int ASN1_TYPE_set_int_octetstring(ASN1_TYPE *a, long num, unsigned char *data,
int len)
{
asn1_int_oct atmp;
ASN1_OCTET_STRING oct;
atmp.num = num;
atmp.oct = &oct;
asn1_type_init_oct(&oct, data, len);
if (ASN1_TYPE_pack_sequence(ASN1_ITEM_rptr(asn1_int_oct), &atmp, &a))
return 1;
return 0;
}
int ASN1_TYPE_get_int_octetstring(const ASN1_TYPE *a, long *num,
unsigned char *data, int max_len)
{
asn1_int_oct *atmp = NULL;
int ret = -1;
if ((a->type != V_ASN1_SEQUENCE) || (a->value.sequence == NULL)) {
goto err;
}
atmp = ASN1_TYPE_unpack_sequence(ASN1_ITEM_rptr(asn1_int_oct), a);
if (atmp == NULL)
goto err;
ret = asn1_type_get_int_oct(atmp->oct, atmp->num, num, data, max_len);
if (ret == -1) {
err:
ERR_raise(ERR_LIB_ASN1, ASN1_R_DATA_IS_WRONG);
}
M_ASN1_free_of(atmp, asn1_int_oct);
return ret;
}
typedef struct {
ASN1_OCTET_STRING *oct;
int32_t num;
} asn1_oct_int;
/*
* Defined in RFC 5084 -
* Section 2. "Content-Authenticated Encryption Algorithms"
*/
ASN1_SEQUENCE(asn1_oct_int) = {
ASN1_SIMPLE(asn1_oct_int, oct, ASN1_OCTET_STRING),
ASN1_EMBED(asn1_oct_int, num, INT32)
} static_ASN1_SEQUENCE_END(asn1_oct_int)
DECLARE_ASN1_ITEM(asn1_oct_int)
int ossl_asn1_type_set_octetstring_int(ASN1_TYPE *a, long num,
unsigned char *data, int len)
{
asn1_oct_int atmp;
ASN1_OCTET_STRING oct;
atmp.num = num;
atmp.oct = &oct;
asn1_type_init_oct(&oct, data, len);
if (ASN1_TYPE_pack_sequence(ASN1_ITEM_rptr(asn1_oct_int), &atmp, &a))
return 1;
return 0;
}
int ossl_asn1_type_get_octetstring_int(const ASN1_TYPE *a, long *num,
unsigned char *data, int max_len)
{
asn1_oct_int *atmp = NULL;
int ret = -1;
if ((a->type != V_ASN1_SEQUENCE) || (a->value.sequence == NULL))
goto err;
atmp = ASN1_TYPE_unpack_sequence(ASN1_ITEM_rptr(asn1_oct_int), a);
if (atmp == NULL)
goto err;
ret = asn1_type_get_int_oct(atmp->oct, atmp->num, num, data, max_len);
if (ret == -1) {
err:
ERR_raise(ERR_LIB_ASN1, ASN1_R_DATA_IS_WRONG);
}
M_ASN1_free_of(atmp, asn1_oct_int);
return ret;
}
|
./openssl/crypto/asn1/x_algor.c | /*
* Copyright 1998-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stddef.h>
#include <openssl/x509.h>
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
#include <openssl/err.h>
#include "crypto/asn1.h"
#include "crypto/evp.h"
ASN1_SEQUENCE(X509_ALGOR) = {
ASN1_SIMPLE(X509_ALGOR, algorithm, ASN1_OBJECT),
ASN1_OPT(X509_ALGOR, parameter, ASN1_ANY)
} ASN1_SEQUENCE_END(X509_ALGOR)
ASN1_ITEM_TEMPLATE(X509_ALGORS) =
ASN1_EX_TEMPLATE_TYPE(ASN1_TFLG_SEQUENCE_OF, 0, algorithms, X509_ALGOR)
ASN1_ITEM_TEMPLATE_END(X509_ALGORS)
IMPLEMENT_ASN1_FUNCTIONS(X509_ALGOR)
IMPLEMENT_ASN1_ENCODE_FUNCTIONS_fname(X509_ALGORS, X509_ALGORS, X509_ALGORS)
IMPLEMENT_ASN1_DUP_FUNCTION(X509_ALGOR)
int X509_ALGOR_set0(X509_ALGOR *alg, ASN1_OBJECT *aobj, int ptype, void *pval)
{
if (alg == NULL)
return 0;
if (ptype != V_ASN1_UNDEF && alg->parameter == NULL
&& (alg->parameter = ASN1_TYPE_new()) == NULL)
return 0;
ASN1_OBJECT_free(alg->algorithm);
alg->algorithm = aobj;
if (ptype == V_ASN1_EOC)
return 1;
if (ptype == V_ASN1_UNDEF) {
ASN1_TYPE_free(alg->parameter);
alg->parameter = NULL;
} else
ASN1_TYPE_set(alg->parameter, ptype, pval);
return 1;
}
X509_ALGOR *ossl_X509_ALGOR_from_nid(int nid, int ptype, void *pval)
{
ASN1_OBJECT *algo = OBJ_nid2obj(nid);
X509_ALGOR *alg = NULL;
if (algo == NULL)
return NULL;
if ((alg = X509_ALGOR_new()) == NULL)
goto err;
if (X509_ALGOR_set0(alg, algo, ptype, pval))
return alg;
alg->algorithm = NULL; /* precaution to prevent double free */
err:
X509_ALGOR_free(alg);
/* ASN1_OBJECT_free(algo) is not needed due to OBJ_nid2obj() */
return NULL;
}
void X509_ALGOR_get0(const ASN1_OBJECT **paobj, int *pptype,
const void **ppval, const X509_ALGOR *algor)
{
if (paobj)
*paobj = algor->algorithm;
if (pptype) {
if (algor->parameter == NULL) {
*pptype = V_ASN1_UNDEF;
return;
} else
*pptype = algor->parameter->type;
if (ppval)
*ppval = algor->parameter->value.ptr;
}
}
/* Set up an X509_ALGOR DigestAlgorithmIdentifier from an EVP_MD */
void X509_ALGOR_set_md(X509_ALGOR *alg, const EVP_MD *md)
{
int type = md->flags & EVP_MD_FLAG_DIGALGID_ABSENT ? V_ASN1_UNDEF
: V_ASN1_NULL;
(void)X509_ALGOR_set0(alg, OBJ_nid2obj(EVP_MD_get_type(md)), type, NULL);
}
int X509_ALGOR_cmp(const X509_ALGOR *a, const X509_ALGOR *b)
{
int rv;
rv = OBJ_cmp(a->algorithm, b->algorithm);
if (rv)
return rv;
if (!a->parameter && !b->parameter)
return 0;
return ASN1_TYPE_cmp(a->parameter, b->parameter);
}
int X509_ALGOR_copy(X509_ALGOR *dest, const X509_ALGOR *src)
{
if (src == NULL || dest == NULL)
return 0;
if (dest->algorithm)
ASN1_OBJECT_free(dest->algorithm);
dest->algorithm = NULL;
if (dest->parameter)
ASN1_TYPE_free(dest->parameter);
dest->parameter = NULL;
if (src->algorithm)
if ((dest->algorithm = OBJ_dup(src->algorithm)) == NULL)
return 0;
if (src->parameter != NULL) {
dest->parameter = ASN1_TYPE_new();
if (dest->parameter == NULL)
return 0;
/* Assuming this is also correct for a BOOL.
* set does copy as a side effect.
*/
if (ASN1_TYPE_set1(dest->parameter, src->parameter->type,
src->parameter->value.ptr) == 0)
return 0;
}
return 1;
}
/* allocate and set algorithm ID from EVP_MD, default SHA1 */
int ossl_x509_algor_new_from_md(X509_ALGOR **palg, const EVP_MD *md)
{
X509_ALGOR *alg;
/* Default is SHA1 so no need to create it - still success */
if (md == NULL || EVP_MD_is_a(md, "SHA1"))
return 1;
if ((alg = X509_ALGOR_new()) == NULL)
return 0;
X509_ALGOR_set_md(alg, md);
*palg = alg;
return 1;
}
/* convert algorithm ID to EVP_MD, default SHA1 */
const EVP_MD *ossl_x509_algor_get_md(X509_ALGOR *alg)
{
const EVP_MD *md;
if (alg == NULL)
return EVP_sha1();
md = EVP_get_digestbyobj(alg->algorithm);
if (md == NULL)
ERR_raise(ERR_LIB_ASN1, ASN1_R_UNKNOWN_DIGEST);
return md;
}
X509_ALGOR *ossl_x509_algor_mgf1_decode(X509_ALGOR *alg)
{
if (OBJ_obj2nid(alg->algorithm) != NID_mgf1)
return NULL;
return ASN1_TYPE_unpack_sequence(ASN1_ITEM_rptr(X509_ALGOR),
alg->parameter);
}
/* Allocate and set MGF1 algorithm ID from EVP_MD */
int ossl_x509_algor_md_to_mgf1(X509_ALGOR **palg, const EVP_MD *mgf1md)
{
X509_ALGOR *algtmp = NULL;
ASN1_STRING *stmp = NULL;
*palg = NULL;
if (mgf1md == NULL || EVP_MD_is_a(mgf1md, "SHA1"))
return 1;
/* need to embed algorithm ID inside another */
if (!ossl_x509_algor_new_from_md(&algtmp, mgf1md))
goto err;
if (ASN1_item_pack(algtmp, ASN1_ITEM_rptr(X509_ALGOR), &stmp) == NULL)
goto err;
*palg = ossl_X509_ALGOR_from_nid(NID_mgf1, V_ASN1_SEQUENCE, stmp);
if (*palg == NULL)
goto err;
stmp = NULL;
err:
ASN1_STRING_free(stmp);
X509_ALGOR_free(algtmp);
return *palg != NULL;
}
|
./openssl/crypto/asn1/asn1_local.h | /*
* Copyright 2005-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/* Internal ASN1 structures and functions: not for application use */
#include "crypto/asn1.h"
typedef const ASN1_VALUE const_ASN1_VALUE;
SKM_DEFINE_STACK_OF(const_ASN1_VALUE, const ASN1_VALUE, ASN1_VALUE)
int ossl_asn1_time_to_tm(struct tm *tm, const ASN1_TIME *d);
int ossl_asn1_utctime_to_tm(struct tm *tm, const ASN1_UTCTIME *d);
/* ASN1 scan context structure */
struct asn1_sctx_st {
/* The ASN1_ITEM associated with this field */
const ASN1_ITEM *it;
/* If ASN1_TEMPLATE associated with this field */
const ASN1_TEMPLATE *tt;
/* Various flags associated with field and context */
unsigned long flags;
/* If SEQUENCE OF or SET OF, field index */
int skidx;
/* ASN1 depth of field */
int depth;
/* Structure and field name */
const char *sname, *fname;
/* If a primitive type the type of underlying field */
int prim_type;
/* The field value itself */
ASN1_VALUE **field;
/* Callback to pass information to */
int (*scan_cb) (ASN1_SCTX *ctx);
/* Context specific application data */
void *app_data;
} /* ASN1_SCTX */ ;
typedef struct mime_param_st MIME_PARAM;
DEFINE_STACK_OF(MIME_PARAM)
typedef struct mime_header_st MIME_HEADER;
DEFINE_STACK_OF(MIME_HEADER)
void ossl_asn1_string_embed_free(ASN1_STRING *a, int embed);
int ossl_asn1_get_choice_selector(ASN1_VALUE **pval, const ASN1_ITEM *it);
int ossl_asn1_get_choice_selector_const(const ASN1_VALUE **pval,
const ASN1_ITEM *it);
int ossl_asn1_set_choice_selector(ASN1_VALUE **pval, int value,
const ASN1_ITEM *it);
ASN1_VALUE **ossl_asn1_get_field_ptr(ASN1_VALUE **pval, const ASN1_TEMPLATE *tt);
const ASN1_VALUE **ossl_asn1_get_const_field_ptr(const ASN1_VALUE **pval,
const ASN1_TEMPLATE *tt);
const ASN1_TEMPLATE *ossl_asn1_do_adb(const ASN1_VALUE *val,
const ASN1_TEMPLATE *tt,
int nullerr);
int ossl_asn1_do_lock(ASN1_VALUE **pval, int op, const ASN1_ITEM *it);
void ossl_asn1_enc_init(ASN1_VALUE **pval, const ASN1_ITEM *it);
void ossl_asn1_enc_free(ASN1_VALUE **pval, const ASN1_ITEM *it);
int ossl_asn1_enc_restore(int *len, unsigned char **out, const ASN1_VALUE **pval,
const ASN1_ITEM *it);
int ossl_asn1_enc_save(ASN1_VALUE **pval, const unsigned char *in, int inlen,
const ASN1_ITEM *it);
void ossl_asn1_item_embed_free(ASN1_VALUE **pval, const ASN1_ITEM *it, int embed);
void ossl_asn1_primitive_free(ASN1_VALUE **pval, const ASN1_ITEM *it, int embed);
void ossl_asn1_template_free(ASN1_VALUE **pval, const ASN1_TEMPLATE *tt);
ASN1_OBJECT *ossl_c2i_ASN1_OBJECT(ASN1_OBJECT **a, const unsigned char **pp,
long length);
int ossl_i2c_ASN1_BIT_STRING(ASN1_BIT_STRING *a, unsigned char **pp);
ASN1_BIT_STRING *ossl_c2i_ASN1_BIT_STRING(ASN1_BIT_STRING **a,
const unsigned char **pp, long length);
int ossl_i2c_ASN1_INTEGER(ASN1_INTEGER *a, unsigned char **pp);
ASN1_INTEGER *ossl_c2i_ASN1_INTEGER(ASN1_INTEGER **a, const unsigned char **pp,
long length);
/* Internal functions used by x_int64.c */
int ossl_c2i_uint64_int(uint64_t *ret, int *neg, const unsigned char **pp,
long len);
int ossl_i2c_uint64_int(unsigned char *p, uint64_t r, int neg);
ASN1_TIME *ossl_asn1_time_from_tm(ASN1_TIME *s, struct tm *ts, int type);
int ossl_asn1_item_ex_new_intern(ASN1_VALUE **pval, const ASN1_ITEM *it,
OSSL_LIB_CTX *libctx, const char *propq);
|
./openssl/crypto/asn1/a_int.c | /*
* Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "internal/cryptlib.h"
#include "internal/numbers.h"
#include <limits.h>
#include <openssl/asn1.h>
#include <openssl/bn.h>
#include "asn1_local.h"
ASN1_INTEGER *ASN1_INTEGER_dup(const ASN1_INTEGER *x)
{
return ASN1_STRING_dup(x);
}
int ASN1_INTEGER_cmp(const ASN1_INTEGER *x, const ASN1_INTEGER *y)
{
int neg, ret;
/* Compare signs */
neg = x->type & V_ASN1_NEG;
if (neg != (y->type & V_ASN1_NEG)) {
if (neg)
return -1;
else
return 1;
}
ret = ASN1_STRING_cmp(x, y);
if (neg)
return -ret;
else
return ret;
}
/*-
* This converts a big endian buffer and sign into its content encoding.
* This is used for INTEGER and ENUMERATED types.
* The internal representation is an ASN1_STRING whose data is a big endian
* representation of the value, ignoring the sign. The sign is determined by
* the type: if type & V_ASN1_NEG is true it is negative, otherwise positive.
*
* Positive integers are no problem: they are almost the same as the DER
* encoding, except if the first byte is >= 0x80 we need to add a zero pad.
*
* Negative integers are a bit trickier...
* The DER representation of negative integers is in 2s complement form.
* The internal form is converted by complementing each octet and finally
* adding one to the result. This can be done less messily with a little trick.
* If the internal form has trailing zeroes then they will become FF by the
* complement and 0 by the add one (due to carry) so just copy as many trailing
* zeros to the destination as there are in the source. The carry will add one
* to the last none zero octet: so complement this octet and add one and finally
* complement any left over until you get to the start of the string.
*
* Padding is a little trickier too. If the first bytes is > 0x80 then we pad
* with 0xff. However if the first byte is 0x80 and one of the following bytes
* is non-zero we pad with 0xff. The reason for this distinction is that 0x80
* followed by optional zeros isn't padded.
*/
/*
* If |pad| is zero, the operation is effectively reduced to memcpy,
* and if |pad| is 0xff, then it performs two's complement, ~dst + 1.
* Note that in latter case sequence of zeros yields itself, and so
* does 0x80 followed by any number of zeros. These properties are
* used elsewhere below...
*/
static void twos_complement(unsigned char *dst, const unsigned char *src,
size_t len, unsigned char pad)
{
unsigned int carry = pad & 1;
/* Begin at the end of the encoding */
if (len != 0) {
/*
* if len == 0 then src/dst could be NULL, and this would be undefined
* behaviour.
*/
dst += len;
src += len;
}
/* two's complement value: ~value + 1 */
while (len-- != 0) {
*(--dst) = (unsigned char)(carry += *(--src) ^ pad);
carry >>= 8;
}
}
static size_t i2c_ibuf(const unsigned char *b, size_t blen, int neg,
unsigned char **pp)
{
unsigned int pad = 0;
size_t ret, i;
unsigned char *p, pb = 0;
if (b != NULL && blen) {
ret = blen;
i = b[0];
if (!neg && (i > 127)) {
pad = 1;
pb = 0;
} else if (neg) {
pb = 0xFF;
if (i > 128) {
pad = 1;
} else if (i == 128) {
/*
* Special case [of minimal negative for given length]:
* if any other bytes non zero we pad, otherwise we don't.
*/
for (pad = 0, i = 1; i < blen; i++)
pad |= b[i];
pb = pad != 0 ? 0xffU : 0;
pad = pb & 1;
}
}
ret += pad;
} else {
ret = 1;
blen = 0; /* reduce '(b == NULL || blen == 0)' to '(blen == 0)' */
}
if (pp == NULL || (p = *pp) == NULL)
return ret;
/*
* This magically handles all corner cases, such as '(b == NULL ||
* blen == 0)', non-negative value, "negative" zero, 0x80 followed
* by any number of zeros...
*/
*p = pb;
p += pad; /* yes, p[0] can be written twice, but it's little
* price to pay for eliminated branches */
twos_complement(p, b, blen, pb);
*pp += ret;
return ret;
}
/*
* convert content octets into a big endian buffer. Returns the length
* of buffer or 0 on error: for malformed INTEGER. If output buffer is
* NULL just return length.
*/
static size_t c2i_ibuf(unsigned char *b, int *pneg,
const unsigned char *p, size_t plen)
{
int neg, pad;
/* Zero content length is illegal */
if (plen == 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ILLEGAL_ZERO_CONTENT);
return 0;
}
neg = p[0] & 0x80;
if (pneg)
*pneg = neg;
/* Handle common case where length is 1 octet separately */
if (plen == 1) {
if (b != NULL) {
if (neg)
b[0] = (p[0] ^ 0xFF) + 1;
else
b[0] = p[0];
}
return 1;
}
pad = 0;
if (p[0] == 0) {
pad = 1;
} else if (p[0] == 0xFF) {
size_t i;
/*
* Special case [of "one less minimal negative" for given length]:
* if any other bytes non zero it was padded, otherwise not.
*/
for (pad = 0, i = 1; i < plen; i++)
pad |= p[i];
pad = pad != 0 ? 1 : 0;
}
/* reject illegal padding: first two octets MSB can't match */
if (pad && (neg == (p[1] & 0x80))) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ILLEGAL_PADDING);
return 0;
}
/* skip over pad */
p += pad;
plen -= pad;
if (b != NULL)
twos_complement(b, p, plen, neg ? 0xffU : 0);
return plen;
}
int ossl_i2c_ASN1_INTEGER(ASN1_INTEGER *a, unsigned char **pp)
{
return i2c_ibuf(a->data, a->length, a->type & V_ASN1_NEG, pp);
}
/* Convert big endian buffer into uint64_t, return 0 on error */
static int asn1_get_uint64(uint64_t *pr, const unsigned char *b, size_t blen)
{
size_t i;
uint64_t r;
if (blen > sizeof(*pr)) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_TOO_LARGE);
return 0;
}
if (b == NULL)
return 0;
for (r = 0, i = 0; i < blen; i++) {
r <<= 8;
r |= b[i];
}
*pr = r;
return 1;
}
/*
* Write uint64_t to big endian buffer and return offset to first
* written octet. In other words it returns offset in range from 0
* to 7, with 0 denoting 8 written octets and 7 - one.
*/
static size_t asn1_put_uint64(unsigned char b[sizeof(uint64_t)], uint64_t r)
{
size_t off = sizeof(uint64_t);
do {
b[--off] = (unsigned char)r;
} while (r >>= 8);
return off;
}
/*
* Absolute value of INT64_MIN: we can't just use -INT64_MIN as gcc produces
* overflow warnings.
*/
#define ABS_INT64_MIN ((uint64_t)INT64_MAX + (-(INT64_MIN + INT64_MAX)))
/* signed version of asn1_get_uint64 */
static int asn1_get_int64(int64_t *pr, const unsigned char *b, size_t blen,
int neg)
{
uint64_t r;
if (asn1_get_uint64(&r, b, blen) == 0)
return 0;
if (neg) {
if (r <= INT64_MAX) {
/* Most significant bit is guaranteed to be clear, negation
* is guaranteed to be meaningful in platform-neutral sense. */
*pr = -(int64_t)r;
} else if (r == ABS_INT64_MIN) {
/* This never happens if INT64_MAX == ABS_INT64_MIN, e.g.
* on ones'-complement system. */
*pr = (int64_t)(0 - r);
} else {
ERR_raise(ERR_LIB_ASN1, ASN1_R_TOO_SMALL);
return 0;
}
} else {
if (r <= INT64_MAX) {
*pr = (int64_t)r;
} else {
ERR_raise(ERR_LIB_ASN1, ASN1_R_TOO_LARGE);
return 0;
}
}
return 1;
}
/* Convert ASN1 INTEGER content octets to ASN1_INTEGER structure */
ASN1_INTEGER *ossl_c2i_ASN1_INTEGER(ASN1_INTEGER **a, const unsigned char **pp,
long len)
{
ASN1_INTEGER *ret = NULL;
size_t r;
int neg;
r = c2i_ibuf(NULL, NULL, *pp, len);
if (r == 0)
return NULL;
if ((a == NULL) || ((*a) == NULL)) {
ret = ASN1_INTEGER_new();
if (ret == NULL)
return NULL;
ret->type = V_ASN1_INTEGER;
} else
ret = *a;
if (ASN1_STRING_set(ret, NULL, r) == 0) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
c2i_ibuf(ret->data, &neg, *pp, len);
if (neg != 0)
ret->type |= V_ASN1_NEG;
else
ret->type &= ~V_ASN1_NEG;
*pp += len;
if (a != NULL)
(*a) = ret;
return ret;
err:
if (a == NULL || *a != ret)
ASN1_INTEGER_free(ret);
return NULL;
}
static int asn1_string_get_int64(int64_t *pr, const ASN1_STRING *a, int itype)
{
if (a == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if ((a->type & ~V_ASN1_NEG) != itype) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_WRONG_INTEGER_TYPE);
return 0;
}
return asn1_get_int64(pr, a->data, a->length, a->type & V_ASN1_NEG);
}
static int asn1_string_set_int64(ASN1_STRING *a, int64_t r, int itype)
{
unsigned char tbuf[sizeof(r)];
size_t off;
a->type = itype;
if (r < 0) {
/* Most obvious '-r' triggers undefined behaviour for most
* common INT64_MIN. Even though below '0 - (uint64_t)r' can
* appear two's-complement centric, it does produce correct/
* expected result even on one's-complement. This is because
* cast to unsigned has to change bit pattern... */
off = asn1_put_uint64(tbuf, 0 - (uint64_t)r);
a->type |= V_ASN1_NEG;
} else {
off = asn1_put_uint64(tbuf, r);
a->type &= ~V_ASN1_NEG;
}
return ASN1_STRING_set(a, tbuf + off, sizeof(tbuf) - off);
}
static int asn1_string_get_uint64(uint64_t *pr, const ASN1_STRING *a,
int itype)
{
if (a == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if ((a->type & ~V_ASN1_NEG) != itype) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_WRONG_INTEGER_TYPE);
return 0;
}
if (a->type & V_ASN1_NEG) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ILLEGAL_NEGATIVE_VALUE);
return 0;
}
return asn1_get_uint64(pr, a->data, a->length);
}
static int asn1_string_set_uint64(ASN1_STRING *a, uint64_t r, int itype)
{
unsigned char tbuf[sizeof(r)];
size_t off;
a->type = itype;
off = asn1_put_uint64(tbuf, r);
return ASN1_STRING_set(a, tbuf + off, sizeof(tbuf) - off);
}
/*
* This is a version of d2i_ASN1_INTEGER that ignores the sign bit of ASN1
* integers: some broken software can encode a positive INTEGER with its MSB
* set as negative (it doesn't add a padding zero).
*/
ASN1_INTEGER *d2i_ASN1_UINTEGER(ASN1_INTEGER **a, const unsigned char **pp,
long length)
{
ASN1_INTEGER *ret = NULL;
const unsigned char *p;
unsigned char *s;
long len = 0;
int inf, tag, xclass;
int i = 0;
if ((a == NULL) || ((*a) == NULL)) {
if ((ret = ASN1_INTEGER_new()) == NULL)
return NULL;
ret->type = V_ASN1_INTEGER;
} else
ret = (*a);
p = *pp;
inf = ASN1_get_object(&p, &len, &tag, &xclass, length);
if (inf & 0x80) {
i = ASN1_R_BAD_OBJECT_HEADER;
goto err;
}
if (tag != V_ASN1_INTEGER) {
i = ASN1_R_EXPECTING_AN_INTEGER;
goto err;
}
if (len < 0) {
i = ASN1_R_ILLEGAL_NEGATIVE_VALUE;
goto err;
}
/*
* We must OPENSSL_malloc stuff, even for 0 bytes otherwise it signifies
* a missing NULL parameter.
*/
s = OPENSSL_malloc((int)len + 1);
if (s == NULL)
goto err;
ret->type = V_ASN1_INTEGER;
if (len) {
if ((*p == 0) && (len != 1)) {
p++;
len--;
}
memcpy(s, p, (int)len);
p += len;
}
ASN1_STRING_set0(ret, s, (int)len);
if (a != NULL)
(*a) = ret;
*pp = p;
return ret;
err:
if (i != 0)
ERR_raise(ERR_LIB_ASN1, i);
if ((a == NULL) || (*a != ret))
ASN1_INTEGER_free(ret);
return NULL;
}
static ASN1_STRING *bn_to_asn1_string(const BIGNUM *bn, ASN1_STRING *ai,
int atype)
{
ASN1_INTEGER *ret;
int len;
if (ai == NULL) {
ret = ASN1_STRING_type_new(atype);
} else {
ret = ai;
ret->type = atype;
}
if (ret == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
goto err;
}
if (BN_is_negative(bn) && !BN_is_zero(bn))
ret->type |= V_ASN1_NEG_INTEGER;
len = BN_num_bytes(bn);
if (len == 0)
len = 1;
if (ASN1_STRING_set(ret, NULL, len) == 0) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
/* Correct zero case */
if (BN_is_zero(bn))
ret->data[0] = 0;
else
len = BN_bn2bin(bn, ret->data);
ret->length = len;
return ret;
err:
if (ret != ai)
ASN1_INTEGER_free(ret);
return NULL;
}
static BIGNUM *asn1_string_to_bn(const ASN1_INTEGER *ai, BIGNUM *bn,
int itype)
{
BIGNUM *ret;
if ((ai->type & ~V_ASN1_NEG) != itype) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_WRONG_INTEGER_TYPE);
return NULL;
}
ret = BN_bin2bn(ai->data, ai->length, bn);
if (ret == NULL) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_BN_LIB);
return NULL;
}
if (ai->type & V_ASN1_NEG)
BN_set_negative(ret, 1);
return ret;
}
int ASN1_INTEGER_get_int64(int64_t *pr, const ASN1_INTEGER *a)
{
return asn1_string_get_int64(pr, a, V_ASN1_INTEGER);
}
int ASN1_INTEGER_set_int64(ASN1_INTEGER *a, int64_t r)
{
return asn1_string_set_int64(a, r, V_ASN1_INTEGER);
}
int ASN1_INTEGER_get_uint64(uint64_t *pr, const ASN1_INTEGER *a)
{
return asn1_string_get_uint64(pr, a, V_ASN1_INTEGER);
}
int ASN1_INTEGER_set_uint64(ASN1_INTEGER *a, uint64_t r)
{
return asn1_string_set_uint64(a, r, V_ASN1_INTEGER);
}
int ASN1_INTEGER_set(ASN1_INTEGER *a, long v)
{
return ASN1_INTEGER_set_int64(a, v);
}
long ASN1_INTEGER_get(const ASN1_INTEGER *a)
{
int i;
int64_t r;
if (a == NULL)
return 0;
i = ASN1_INTEGER_get_int64(&r, a);
if (i == 0)
return -1;
if (r > LONG_MAX || r < LONG_MIN)
return -1;
return (long)r;
}
ASN1_INTEGER *BN_to_ASN1_INTEGER(const BIGNUM *bn, ASN1_INTEGER *ai)
{
return bn_to_asn1_string(bn, ai, V_ASN1_INTEGER);
}
BIGNUM *ASN1_INTEGER_to_BN(const ASN1_INTEGER *ai, BIGNUM *bn)
{
return asn1_string_to_bn(ai, bn, V_ASN1_INTEGER);
}
int ASN1_ENUMERATED_get_int64(int64_t *pr, const ASN1_ENUMERATED *a)
{
return asn1_string_get_int64(pr, a, V_ASN1_ENUMERATED);
}
int ASN1_ENUMERATED_set_int64(ASN1_ENUMERATED *a, int64_t r)
{
return asn1_string_set_int64(a, r, V_ASN1_ENUMERATED);
}
int ASN1_ENUMERATED_set(ASN1_ENUMERATED *a, long v)
{
return ASN1_ENUMERATED_set_int64(a, v);
}
long ASN1_ENUMERATED_get(const ASN1_ENUMERATED *a)
{
int i;
int64_t r;
if (a == NULL)
return 0;
if ((a->type & ~V_ASN1_NEG) != V_ASN1_ENUMERATED)
return -1;
if (a->length > (int)sizeof(long))
return 0xffffffffL;
i = ASN1_ENUMERATED_get_int64(&r, a);
if (i == 0)
return -1;
if (r > LONG_MAX || r < LONG_MIN)
return -1;
return (long)r;
}
ASN1_ENUMERATED *BN_to_ASN1_ENUMERATED(const BIGNUM *bn, ASN1_ENUMERATED *ai)
{
return bn_to_asn1_string(bn, ai, V_ASN1_ENUMERATED);
}
BIGNUM *ASN1_ENUMERATED_to_BN(const ASN1_ENUMERATED *ai, BIGNUM *bn)
{
return asn1_string_to_bn(ai, bn, V_ASN1_ENUMERATED);
}
/* Internal functions used by x_int64.c */
int ossl_c2i_uint64_int(uint64_t *ret, int *neg,
const unsigned char **pp, long len)
{
unsigned char buf[sizeof(uint64_t)];
size_t buflen;
buflen = c2i_ibuf(NULL, NULL, *pp, len);
if (buflen == 0)
return 0;
if (buflen > sizeof(uint64_t)) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_TOO_LARGE);
return 0;
}
(void)c2i_ibuf(buf, neg, *pp, len);
return asn1_get_uint64(ret, buf, buflen);
}
int ossl_i2c_uint64_int(unsigned char *p, uint64_t r, int neg)
{
unsigned char buf[sizeof(uint64_t)];
size_t off;
off = asn1_put_uint64(buf, r);
return i2c_ibuf(buf + off, sizeof(buf) - off, neg, &p);
}
|
./openssl/crypto/asn1/standard_methods.h | /*
* Copyright 2006-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* This table MUST be kept in ascending order of the NID each method
* represents (corresponding to the pkey_id field) as OBJ_bsearch
* is used to search it.
*/
static const EVP_PKEY_ASN1_METHOD *standard_methods[] = {
&ossl_rsa_asn1_meths[0],
&ossl_rsa_asn1_meths[1],
#ifndef OPENSSL_NO_DH
&ossl_dh_asn1_meth,
#endif
#ifndef OPENSSL_NO_DSA
&ossl_dsa_asn1_meths[0],
&ossl_dsa_asn1_meths[1],
&ossl_dsa_asn1_meths[2],
&ossl_dsa_asn1_meths[3],
&ossl_dsa_asn1_meths[4],
#endif
#ifndef OPENSSL_NO_EC
&ossl_eckey_asn1_meth,
#endif
&ossl_rsa_pss_asn1_meth,
#ifndef OPENSSL_NO_DH
&ossl_dhx_asn1_meth,
#endif
#ifndef OPENSSL_NO_ECX
&ossl_ecx25519_asn1_meth,
&ossl_ecx448_asn1_meth,
&ossl_ed25519_asn1_meth,
&ossl_ed448_asn1_meth,
#endif
#ifndef OPENSSL_NO_SM2
&ossl_sm2_asn1_meth,
#endif
};
|
./openssl/crypto/asn1/a_octet.c | /*
* Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/asn1.h>
ASN1_OCTET_STRING *ASN1_OCTET_STRING_dup(const ASN1_OCTET_STRING *x)
{
return ASN1_STRING_dup(x);
}
int ASN1_OCTET_STRING_cmp(const ASN1_OCTET_STRING *a,
const ASN1_OCTET_STRING *b)
{
return ASN1_STRING_cmp(a, b);
}
int ASN1_OCTET_STRING_set(ASN1_OCTET_STRING *x, const unsigned char *d,
int len)
{
return ASN1_STRING_set(x, d, len);
}
|
./openssl/crypto/asn1/asn1_lib.c | /*
* Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include <limits.h>
#include "internal/cryptlib.h"
#include <openssl/asn1.h>
#include "asn1_local.h"
static int asn1_get_length(const unsigned char **pp, int *inf, long *rl,
long max);
static void asn1_put_length(unsigned char **pp, int length);
static int _asn1_check_infinite_end(const unsigned char **p, long len)
{
/*
* If there is 0 or 1 byte left, the length check should pick things up
*/
if (len <= 0) {
return 1;
} else {
if ((len >= 2) && ((*p)[0] == 0) && ((*p)[1] == 0)) {
(*p) += 2;
return 1;
}
}
return 0;
}
int ASN1_check_infinite_end(unsigned char **p, long len)
{
return _asn1_check_infinite_end((const unsigned char **)p, len);
}
int ASN1_const_check_infinite_end(const unsigned char **p, long len)
{
return _asn1_check_infinite_end(p, len);
}
int ASN1_get_object(const unsigned char **pp, long *plength, int *ptag,
int *pclass, long omax)
{
int i, ret;
long len;
const unsigned char *p = *pp;
int tag, xclass, inf;
long max = omax;
if (omax <= 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_TOO_SMALL);
return 0x80;
}
ret = (*p & V_ASN1_CONSTRUCTED);
xclass = (*p & V_ASN1_PRIVATE);
i = *p & V_ASN1_PRIMITIVE_TAG;
if (i == V_ASN1_PRIMITIVE_TAG) { /* high-tag */
p++;
if (--max == 0)
goto err;
len = 0;
while (*p & 0x80) {
len <<= 7L;
len |= *(p++) & 0x7f;
if (--max == 0)
goto err;
if (len > (INT_MAX >> 7L))
goto err;
}
len <<= 7L;
len |= *(p++) & 0x7f;
tag = (int)len;
if (--max == 0)
goto err;
} else {
tag = i;
p++;
if (--max == 0)
goto err;
}
*ptag = tag;
*pclass = xclass;
if (!asn1_get_length(&p, &inf, plength, max))
goto err;
if (inf && !(ret & V_ASN1_CONSTRUCTED))
goto err;
if (*plength > (omax - (p - *pp))) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_TOO_LONG);
/*
* Set this so that even if things are not long enough the values are
* set correctly
*/
ret |= 0x80;
}
*pp = p;
return ret | inf;
err:
ERR_raise(ERR_LIB_ASN1, ASN1_R_HEADER_TOO_LONG);
return 0x80;
}
/*
* Decode a length field.
* The short form is a single byte defining a length 0 - 127.
* The long form is a byte 0 - 127 with the top bit set and this indicates
* the number of following octets that contain the length. These octets
* are stored most significant digit first.
*/
static int asn1_get_length(const unsigned char **pp, int *inf, long *rl,
long max)
{
const unsigned char *p = *pp;
unsigned long ret = 0;
int i;
if (max-- < 1)
return 0;
if (*p == 0x80) {
*inf = 1;
p++;
} else {
*inf = 0;
i = *p & 0x7f;
if (*p++ & 0x80) {
if (max < i + 1)
return 0;
/* Skip leading zeroes */
while (i > 0 && *p == 0) {
p++;
i--;
}
if (i > (int)sizeof(long))
return 0;
while (i > 0) {
ret <<= 8;
ret |= *p++;
i--;
}
if (ret > LONG_MAX)
return 0;
} else {
ret = i;
}
}
*pp = p;
*rl = (long)ret;
return 1;
}
/*
* constructed == 2 for indefinite length constructed
*/
void ASN1_put_object(unsigned char **pp, int constructed, int length, int tag,
int xclass)
{
unsigned char *p = *pp;
int i, ttag;
i = (constructed) ? V_ASN1_CONSTRUCTED : 0;
i |= (xclass & V_ASN1_PRIVATE);
if (tag < 31) {
*(p++) = i | (tag & V_ASN1_PRIMITIVE_TAG);
} else {
*(p++) = i | V_ASN1_PRIMITIVE_TAG;
for (i = 0, ttag = tag; ttag > 0; i++)
ttag >>= 7;
ttag = i;
while (i-- > 0) {
p[i] = tag & 0x7f;
if (i != (ttag - 1))
p[i] |= 0x80;
tag >>= 7;
}
p += ttag;
}
if (constructed == 2)
*(p++) = 0x80;
else
asn1_put_length(&p, length);
*pp = p;
}
int ASN1_put_eoc(unsigned char **pp)
{
unsigned char *p = *pp;
*p++ = 0;
*p++ = 0;
*pp = p;
return 2;
}
static void asn1_put_length(unsigned char **pp, int length)
{
unsigned char *p = *pp;
int i, len;
if (length <= 127) {
*(p++) = (unsigned char)length;
} else {
len = length;
for (i = 0; len > 0; i++)
len >>= 8;
*(p++) = i | 0x80;
len = i;
while (i-- > 0) {
p[i] = length & 0xff;
length >>= 8;
}
p += len;
}
*pp = p;
}
int ASN1_object_size(int constructed, int length, int tag)
{
int ret = 1;
if (length < 0)
return -1;
if (tag >= 31) {
while (tag > 0) {
tag >>= 7;
ret++;
}
}
if (constructed == 2) {
ret += 3;
} else {
ret++;
if (length > 127) {
int tmplen = length;
while (tmplen > 0) {
tmplen >>= 8;
ret++;
}
}
}
if (ret >= INT_MAX - length)
return -1;
return ret + length;
}
void ossl_asn1_string_set_bits_left(ASN1_STRING *str, unsigned int num)
{
str->flags &= ~0x07;
str->flags |= ASN1_STRING_FLAG_BITS_LEFT | (num & 0x07);
}
int ASN1_STRING_copy(ASN1_STRING *dst, const ASN1_STRING *str)
{
if (str == NULL)
return 0;
dst->type = str->type;
if (!ASN1_STRING_set(dst, str->data, str->length))
return 0;
/* Copy flags but preserve embed value */
dst->flags &= ASN1_STRING_FLAG_EMBED;
dst->flags |= str->flags & ~ASN1_STRING_FLAG_EMBED;
return 1;
}
ASN1_STRING *ASN1_STRING_dup(const ASN1_STRING *str)
{
ASN1_STRING *ret;
if (!str)
return NULL;
ret = ASN1_STRING_new();
if (ret == NULL)
return NULL;
if (!ASN1_STRING_copy(ret, str)) {
ASN1_STRING_free(ret);
return NULL;
}
return ret;
}
int ASN1_STRING_set(ASN1_STRING *str, const void *_data, int len_in)
{
unsigned char *c;
const char *data = _data;
size_t len;
if (len_in < 0) {
if (data == NULL)
return 0;
len = strlen(data);
} else {
len = (size_t)len_in;
}
/*
* Verify that the length fits within an integer for assignment to
* str->length below. The additional 1 is subtracted to allow for the
* '\0' terminator even though this isn't strictly necessary.
*/
if (len > INT_MAX - 1) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_TOO_LARGE);
return 0;
}
if ((size_t)str->length <= len || str->data == NULL) {
c = str->data;
#ifdef FUZZING_BUILD_MODE_UNSAFE_FOR_PRODUCTION
/* No NUL terminator in fuzzing builds */
str->data = OPENSSL_realloc(c, len != 0 ? len : 1);
#else
str->data = OPENSSL_realloc(c, len + 1);
#endif
if (str->data == NULL) {
str->data = c;
return 0;
}
}
str->length = len;
if (data != NULL) {
memcpy(str->data, data, len);
#ifdef FUZZING_BUILD_MODE_UNSAFE_FOR_PRODUCTION
/* Set the unused byte to something non NUL and printable. */
if (len == 0)
str->data[len] = '~';
#else
/*
* Add a NUL terminator. This should not be necessary - but we add it as
* a safety precaution
*/
str->data[len] = '\0';
#endif
}
return 1;
}
void ASN1_STRING_set0(ASN1_STRING *str, void *data, int len)
{
OPENSSL_free(str->data);
str->data = data;
str->length = len;
}
ASN1_STRING *ASN1_STRING_new(void)
{
return ASN1_STRING_type_new(V_ASN1_OCTET_STRING);
}
ASN1_STRING *ASN1_STRING_type_new(int type)
{
ASN1_STRING *ret;
ret = OPENSSL_zalloc(sizeof(*ret));
if (ret == NULL)
return NULL;
ret->type = type;
return ret;
}
void ossl_asn1_string_embed_free(ASN1_STRING *a, int embed)
{
if (a == NULL)
return;
if (!(a->flags & ASN1_STRING_FLAG_NDEF))
OPENSSL_free(a->data);
if (embed == 0)
OPENSSL_free(a);
}
void ASN1_STRING_free(ASN1_STRING *a)
{
if (a == NULL)
return;
ossl_asn1_string_embed_free(a, a->flags & ASN1_STRING_FLAG_EMBED);
}
void ASN1_STRING_clear_free(ASN1_STRING *a)
{
if (a == NULL)
return;
if (a->data && !(a->flags & ASN1_STRING_FLAG_NDEF))
OPENSSL_cleanse(a->data, a->length);
ASN1_STRING_free(a);
}
int ASN1_STRING_cmp(const ASN1_STRING *a, const ASN1_STRING *b)
{
int i;
i = (a->length - b->length);
if (i == 0) {
if (a->length != 0)
i = memcmp(a->data, b->data, a->length);
if (i == 0)
return a->type - b->type;
else
return i;
} else {
return i;
}
}
int ASN1_STRING_length(const ASN1_STRING *x)
{
return x->length;
}
#ifndef OPENSSL_NO_DEPRECATED_3_0
void ASN1_STRING_length_set(ASN1_STRING *x, int len)
{
x->length = len;
}
#endif
int ASN1_STRING_type(const ASN1_STRING *x)
{
return x->type;
}
const unsigned char *ASN1_STRING_get0_data(const ASN1_STRING *x)
{
return x->data;
}
#ifndef OPENSSL_NO_DEPRECATED_1_1_0
unsigned char *ASN1_STRING_data(ASN1_STRING *x)
{
return x->data;
}
#endif
/* |max_len| excludes NUL terminator and may be 0 to indicate no restriction */
char *ossl_sk_ASN1_UTF8STRING2text(STACK_OF(ASN1_UTF8STRING) *text,
const char *sep, size_t max_len)
{
int i;
ASN1_UTF8STRING *current;
size_t length = 0, sep_len;
char *result = NULL;
char *p;
if (sep == NULL)
sep = "";
sep_len = strlen(sep);
for (i = 0; i < sk_ASN1_UTF8STRING_num(text); i++) {
current = sk_ASN1_UTF8STRING_value(text, i);
if (i > 0)
length += sep_len;
length += ASN1_STRING_length(current);
if (max_len != 0 && length > max_len)
return NULL;
}
if ((result = OPENSSL_malloc(length + 1)) == NULL)
return NULL;
p = result;
for (i = 0; i < sk_ASN1_UTF8STRING_num(text); i++) {
current = sk_ASN1_UTF8STRING_value(text, i);
length = ASN1_STRING_length(current);
if (i > 0 && sep_len > 0) {
strncpy(p, sep, sep_len + 1); /* using + 1 to silence gcc warning */
p += sep_len;
}
strncpy(p, (const char *)ASN1_STRING_get0_data(current), length);
p += length;
}
*p = '\0';
return result;
}
|
./openssl/crypto/asn1/p5_pbev2.c | /*
* Copyright 1999-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "internal/cryptlib.h"
#include "crypto/asn1.h"
#include "crypto/evp.h"
#include <openssl/asn1t.h>
#include <openssl/core.h>
#include <openssl/core_names.h>
#include <openssl/x509.h>
#include <openssl/rand.h>
/* PKCS#5 v2.0 password based encryption structures */
ASN1_SEQUENCE(PBE2PARAM) = {
ASN1_SIMPLE(PBE2PARAM, keyfunc, X509_ALGOR),
ASN1_SIMPLE(PBE2PARAM, encryption, X509_ALGOR)
} ASN1_SEQUENCE_END(PBE2PARAM)
IMPLEMENT_ASN1_FUNCTIONS(PBE2PARAM)
ASN1_SEQUENCE(PBKDF2PARAM) = {
ASN1_SIMPLE(PBKDF2PARAM, salt, ASN1_ANY),
ASN1_SIMPLE(PBKDF2PARAM, iter, ASN1_INTEGER),
ASN1_OPT(PBKDF2PARAM, keylength, ASN1_INTEGER),
ASN1_OPT(PBKDF2PARAM, prf, X509_ALGOR)
} ASN1_SEQUENCE_END(PBKDF2PARAM)
IMPLEMENT_ASN1_FUNCTIONS(PBKDF2PARAM)
/*
* Return an algorithm identifier for a PKCS#5 v2.0 PBE algorithm: yes I know
* this is horrible! Extended version to allow application supplied PRF NID
* and IV.
*/
X509_ALGOR *PKCS5_pbe2_set_iv_ex(const EVP_CIPHER *cipher, int iter,
unsigned char *salt, int saltlen,
unsigned char *aiv, int prf_nid,
OSSL_LIB_CTX *libctx)
{
X509_ALGOR *scheme = NULL, *ret = NULL;
int alg_nid, keylen, ivlen;
EVP_CIPHER_CTX *ctx = NULL;
unsigned char iv[EVP_MAX_IV_LENGTH];
PBE2PARAM *pbe2 = NULL;
alg_nid = EVP_CIPHER_get_type(cipher);
if (alg_nid == NID_undef) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_CIPHER_HAS_NO_OBJECT_IDENTIFIER);
goto err;
}
if ((pbe2 = PBE2PARAM_new()) == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
/* Setup the AlgorithmIdentifier for the encryption scheme */
scheme = pbe2->encryption;
scheme->algorithm = OBJ_nid2obj(alg_nid);
if ((scheme->parameter = ASN1_TYPE_new()) == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
/* Create random IV */
ivlen = EVP_CIPHER_get_iv_length(cipher);
if (ivlen > 0) {
if (aiv)
memcpy(iv, aiv, ivlen);
else if (RAND_bytes_ex(libctx, iv, ivlen, 0) <= 0)
goto err;
}
ctx = EVP_CIPHER_CTX_new();
if (ctx == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_EVP_LIB);
goto err;
}
/* Dummy cipherinit to just setup the IV, and PRF */
if (!EVP_CipherInit_ex(ctx, cipher, NULL, NULL, iv, 0))
goto err;
if (EVP_CIPHER_param_to_asn1(ctx, scheme->parameter) <= 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ERROR_SETTING_CIPHER_PARAMS);
goto err;
}
/*
* If prf NID unspecified see if cipher has a preference. An error is OK
* here: just means use default PRF.
*/
ERR_set_mark();
if ((prf_nid == -1) &&
EVP_CIPHER_CTX_ctrl(ctx, EVP_CTRL_PBE_PRF_NID, 0, &prf_nid) <= 0) {
prf_nid = NID_hmacWithSHA256;
}
ERR_pop_to_mark();
EVP_CIPHER_CTX_free(ctx);
ctx = NULL;
/* If its RC2 then we'd better setup the key length */
if (alg_nid == NID_rc2_cbc)
keylen = EVP_CIPHER_get_key_length(cipher);
else
keylen = -1;
/* Setup keyfunc */
X509_ALGOR_free(pbe2->keyfunc);
pbe2->keyfunc = PKCS5_pbkdf2_set_ex(iter, salt, saltlen, prf_nid, keylen,
libctx);
if (pbe2->keyfunc == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
/* Now set up top level AlgorithmIdentifier */
if ((ret = X509_ALGOR_new()) == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_X509_LIB);
goto err;
}
ret->algorithm = OBJ_nid2obj(NID_pbes2);
/* Encode PBE2PARAM into parameter */
if (!ASN1_TYPE_pack_sequence(ASN1_ITEM_rptr(PBE2PARAM), pbe2,
&ret->parameter)) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
PBE2PARAM_free(pbe2);
pbe2 = NULL;
return ret;
err:
EVP_CIPHER_CTX_free(ctx);
PBE2PARAM_free(pbe2);
/* Note 'scheme' is freed as part of pbe2 */
X509_ALGOR_free(ret);
return NULL;
}
X509_ALGOR *PKCS5_pbe2_set_iv(const EVP_CIPHER *cipher, int iter,
unsigned char *salt, int saltlen,
unsigned char *aiv, int prf_nid)
{
return PKCS5_pbe2_set_iv_ex(cipher, iter, salt, saltlen, aiv, prf_nid,
NULL);
}
X509_ALGOR *PKCS5_pbe2_set(const EVP_CIPHER *cipher, int iter,
unsigned char *salt, int saltlen)
{
return PKCS5_pbe2_set_iv_ex(cipher, iter, salt, saltlen, NULL, -1,
NULL);
}
X509_ALGOR *PKCS5_pbkdf2_set_ex(int iter, unsigned char *salt, int saltlen,
int prf_nid, int keylen,
OSSL_LIB_CTX *libctx)
{
X509_ALGOR *keyfunc = NULL;
PBKDF2PARAM *kdf = NULL;
ASN1_OCTET_STRING *osalt = NULL;
if ((kdf = PBKDF2PARAM_new()) == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
if ((osalt = ASN1_OCTET_STRING_new()) == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
kdf->salt->value.octet_string = osalt;
kdf->salt->type = V_ASN1_OCTET_STRING;
if (saltlen < 0) {
ERR_raise(ERR_LIB_ASN1, ERR_R_PASSED_INVALID_ARGUMENT);
goto err;
}
if (saltlen == 0)
saltlen = PKCS5_DEFAULT_PBE2_SALT_LEN;
if ((osalt->data = OPENSSL_malloc(saltlen)) == NULL)
goto err;
osalt->length = saltlen;
if (salt) {
memcpy(osalt->data, salt, saltlen);
} else if (RAND_bytes_ex(libctx, osalt->data, saltlen, 0) <= 0) {
ERR_raise(ERR_LIB_ASN1, ERR_R_RAND_LIB);
goto err;
}
if (iter <= 0)
iter = PKCS5_DEFAULT_ITER;
if (!ASN1_INTEGER_set(kdf->iter, iter)) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
/* If have a key len set it up */
if (keylen > 0) {
if ((kdf->keylength = ASN1_INTEGER_new()) == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
if (!ASN1_INTEGER_set(kdf->keylength, keylen)) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
}
/* prf can stay NULL if we are using hmacWithSHA1 */
if (prf_nid > 0 && prf_nid != NID_hmacWithSHA1) {
kdf->prf = ossl_X509_ALGOR_from_nid(prf_nid, V_ASN1_NULL, NULL);
if (kdf->prf == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_X509_LIB);
goto err;
}
}
/* Finally setup the keyfunc structure */
keyfunc = X509_ALGOR_new();
if (keyfunc == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_X509_LIB);
goto err;
}
keyfunc->algorithm = OBJ_nid2obj(NID_id_pbkdf2);
/* Encode PBKDF2PARAM into parameter of pbe2 */
if (!ASN1_TYPE_pack_sequence(ASN1_ITEM_rptr(PBKDF2PARAM), kdf,
&keyfunc->parameter)) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
PBKDF2PARAM_free(kdf);
return keyfunc;
err:
PBKDF2PARAM_free(kdf);
X509_ALGOR_free(keyfunc);
return NULL;
}
X509_ALGOR *PKCS5_pbkdf2_set(int iter, unsigned char *salt, int saltlen,
int prf_nid, int keylen)
{
return PKCS5_pbkdf2_set_ex(iter, salt, saltlen, prf_nid, keylen, NULL);
}
|
./openssl/crypto/asn1/a_utf8.c | /*
* Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "internal/cryptlib.h"
#include "internal/unicode.h"
#include <openssl/asn1.h>
/* UTF8 utilities */
/*-
* This parses a UTF8 string one character at a time. It is passed a pointer
* to the string and the length of the string. It sets 'value' to the value of
* the current character. It returns the number of characters read or a
* negative error code:
* -1 = string too short
* -2 = illegal character
* -3 = subsequent characters not of the form 10xxxxxx
* -4 = character encoded incorrectly (not minimal length).
*/
int UTF8_getc(const unsigned char *str, int len, unsigned long *val)
{
const unsigned char *p;
unsigned long value;
int ret;
if (len <= 0)
return 0;
p = str;
/* Check syntax and work out the encoded value (if correct) */
if ((*p & 0x80) == 0) {
value = *p++ & 0x7f;
ret = 1;
} else if ((*p & 0xe0) == 0xc0) {
if (len < 2)
return -1;
if ((p[1] & 0xc0) != 0x80)
return -3;
value = (*p++ & 0x1f) << 6;
value |= *p++ & 0x3f;
if (value < 0x80)
return -4;
ret = 2;
} else if ((*p & 0xf0) == 0xe0) {
if (len < 3)
return -1;
if (((p[1] & 0xc0) != 0x80)
|| ((p[2] & 0xc0) != 0x80))
return -3;
value = (*p++ & 0xf) << 12;
value |= (*p++ & 0x3f) << 6;
value |= *p++ & 0x3f;
if (value < 0x800)
return -4;
if (is_unicode_surrogate(value))
return -2;
ret = 3;
} else if ((*p & 0xf8) == 0xf0) {
if (len < 4)
return -1;
if (((p[1] & 0xc0) != 0x80)
|| ((p[2] & 0xc0) != 0x80)
|| ((p[3] & 0xc0) != 0x80))
return -3;
value = ((unsigned long)(*p++ & 0x7)) << 18;
value |= (*p++ & 0x3f) << 12;
value |= (*p++ & 0x3f) << 6;
value |= *p++ & 0x3f;
if (value < 0x10000)
return -4;
ret = 4;
} else
return -2;
*val = value;
return ret;
}
/*
* This takes a character 'value' and writes the UTF8 encoded value in 'str'
* where 'str' is a buffer containing 'len' characters. Returns the number of
* characters written, -1 if 'len' is too small or -2 if 'value' is out of
* range. 'str' can be set to NULL in which case it just returns the number of
* characters. It will need at most 4 characters.
*/
int UTF8_putc(unsigned char *str, int len, unsigned long value)
{
if (!str)
len = 4; /* Maximum we will need */
else if (len <= 0)
return -1;
if (value < 0x80) {
if (str)
*str = (unsigned char)value;
return 1;
}
if (value < 0x800) {
if (len < 2)
return -1;
if (str) {
*str++ = (unsigned char)(((value >> 6) & 0x1f) | 0xc0);
*str = (unsigned char)((value & 0x3f) | 0x80);
}
return 2;
}
if (value < 0x10000) {
if (is_unicode_surrogate(value))
return -2;
if (len < 3)
return -1;
if (str) {
*str++ = (unsigned char)(((value >> 12) & 0xf) | 0xe0);
*str++ = (unsigned char)(((value >> 6) & 0x3f) | 0x80);
*str = (unsigned char)((value & 0x3f) | 0x80);
}
return 3;
}
if (value < UNICODE_LIMIT) {
if (len < 4)
return -1;
if (str) {
*str++ = (unsigned char)(((value >> 18) & 0x7) | 0xf0);
*str++ = (unsigned char)(((value >> 12) & 0x3f) | 0x80);
*str++ = (unsigned char)(((value >> 6) & 0x3f) | 0x80);
*str = (unsigned char)((value & 0x3f) | 0x80);
}
return 4;
}
return -2;
}
|
./openssl/crypto/asn1/d2i_pu.c | /*
* Copyright 1995-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* DSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/bn.h>
#include <openssl/evp.h>
#include <openssl/objects.h>
#include <openssl/asn1.h>
#include <openssl/rsa.h>
#include <openssl/dsa.h>
#include <openssl/ec.h>
#include "crypto/evp.h"
EVP_PKEY *d2i_PublicKey(int type, EVP_PKEY **a, const unsigned char **pp,
long length)
{
EVP_PKEY *ret;
EVP_PKEY *copy = NULL;
if ((a == NULL) || (*a == NULL)) {
if ((ret = EVP_PKEY_new()) == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_EVP_LIB);
return NULL;
}
} else {
ret = *a;
#ifndef OPENSSL_NO_EC
if (evp_pkey_is_provided(ret)
&& EVP_PKEY_get_base_id(ret) == EVP_PKEY_EC) {
if (!evp_pkey_copy_downgraded(©, ret))
goto err;
}
#endif
}
if ((type != EVP_PKEY_get_id(ret) || copy != NULL)
&& !EVP_PKEY_set_type(ret, type)) {
ERR_raise(ERR_LIB_ASN1, ERR_R_EVP_LIB);
goto err;
}
switch (EVP_PKEY_get_base_id(ret)) {
case EVP_PKEY_RSA:
if ((ret->pkey.rsa = d2i_RSAPublicKey(NULL, pp, length)) == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
break;
#ifndef OPENSSL_NO_DSA
case EVP_PKEY_DSA:
if (!d2i_DSAPublicKey(&ret->pkey.dsa, pp, length)) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
break;
#endif
#ifndef OPENSSL_NO_EC
case EVP_PKEY_EC:
if (copy != NULL) {
/* use downgraded parameters from copy */
ret->pkey.ec = copy->pkey.ec;
copy->pkey.ec = NULL;
}
if (!o2i_ECPublicKey(&ret->pkey.ec, pp, length)) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
break;
#endif
default:
ERR_raise(ERR_LIB_ASN1, ASN1_R_UNKNOWN_PUBLIC_KEY_TYPE);
goto err;
}
if (a != NULL)
(*a) = ret;
EVP_PKEY_free(copy);
return ret;
err:
if (a == NULL || *a != ret)
EVP_PKEY_free(ret);
EVP_PKEY_free(copy);
return NULL;
}
|
./openssl/crypto/asn1/f_string.c | /*
* Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "crypto/ctype.h"
#include "internal/cryptlib.h"
#include <openssl/buffer.h>
#include <openssl/asn1.h>
int i2a_ASN1_STRING(BIO *bp, const ASN1_STRING *a, int type)
{
int i, n = 0;
static const char *h = "0123456789ABCDEF";
char buf[2];
if (a == NULL)
return 0;
if (a->length == 0) {
if (BIO_write(bp, "0", 1) != 1)
goto err;
n = 1;
} else {
for (i = 0; i < a->length; i++) {
if ((i != 0) && (i % 35 == 0)) {
if (BIO_write(bp, "\\\n", 2) != 2)
goto err;
n += 2;
}
buf[0] = h[((unsigned char)a->data[i] >> 4) & 0x0f];
buf[1] = h[((unsigned char)a->data[i]) & 0x0f];
if (BIO_write(bp, buf, 2) != 2)
goto err;
n += 2;
}
}
return n;
err:
return -1;
}
int a2i_ASN1_STRING(BIO *bp, ASN1_STRING *bs, char *buf, int size)
{
int i, j, k, m, n, again, bufsize;
unsigned char *s = NULL, *sp;
unsigned char *bufp;
int num = 0, slen = 0, first = 1;
bufsize = BIO_gets(bp, buf, size);
for (;;) {
if (bufsize < 1) {
if (first)
break;
else
goto err;
}
first = 0;
i = bufsize;
if (buf[i - 1] == '\n')
buf[--i] = '\0';
if (i == 0)
goto err;
if (buf[i - 1] == '\r')
buf[--i] = '\0';
if (i == 0)
goto err;
again = (buf[i - 1] == '\\');
for (j = i - 1; j > 0; j--) {
if (!ossl_isxdigit(buf[j])) {
i = j;
break;
}
}
buf[i] = '\0';
/*
* We have now cleared all the crap off the end of the line
*/
if (i < 2)
goto err;
bufp = (unsigned char *)buf;
k = 0;
i -= again;
if (i % 2 != 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ODD_NUMBER_OF_CHARS);
OPENSSL_free(s);
return 0;
}
i /= 2;
if (num + i > slen) {
sp = OPENSSL_realloc(s, (unsigned int)num + i * 2);
if (sp == NULL) {
OPENSSL_free(s);
return 0;
}
s = sp;
slen = num + i * 2;
}
for (j = 0; j < i; j++, k += 2) {
for (n = 0; n < 2; n++) {
m = OPENSSL_hexchar2int(bufp[k + n]);
if (m < 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_NON_HEX_CHARACTERS);
OPENSSL_free(s);
return 0;
}
s[num + j] <<= 4;
s[num + j] |= m;
}
}
num += i;
if (again)
bufsize = BIO_gets(bp, buf, size);
else
break;
}
bs->length = num;
bs->data = s;
return 1;
err:
ERR_raise(ERR_LIB_ASN1, ASN1_R_SHORT_LINE);
OPENSSL_free(s);
return 0;
}
|
./openssl/crypto/asn1/x_info.c | /*
* Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/evp.h>
#include <openssl/asn1.h>
#include <openssl/x509.h>
X509_INFO *X509_INFO_new(void)
{
X509_INFO *ret;
ret = OPENSSL_zalloc(sizeof(*ret));
if (ret == NULL)
return NULL;
return ret;
}
void X509_INFO_free(X509_INFO *x)
{
if (x == NULL)
return;
X509_free(x->x509);
X509_CRL_free(x->crl);
X509_PKEY_free(x->x_pkey);
OPENSSL_free(x->enc_data);
OPENSSL_free(x);
}
|
./openssl/crypto/asn1/x_spki.c | /*
* Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/x509.h>
#include <openssl/asn1t.h>
ASN1_SEQUENCE(NETSCAPE_SPKAC) = {
ASN1_SIMPLE(NETSCAPE_SPKAC, pubkey, X509_PUBKEY),
ASN1_SIMPLE(NETSCAPE_SPKAC, challenge, ASN1_IA5STRING)
} ASN1_SEQUENCE_END(NETSCAPE_SPKAC)
IMPLEMENT_ASN1_FUNCTIONS(NETSCAPE_SPKAC)
ASN1_SEQUENCE(NETSCAPE_SPKI) = {
ASN1_SIMPLE(NETSCAPE_SPKI, spkac, NETSCAPE_SPKAC),
ASN1_EMBED(NETSCAPE_SPKI, sig_algor, X509_ALGOR),
ASN1_SIMPLE(NETSCAPE_SPKI, signature, ASN1_BIT_STRING)
} ASN1_SEQUENCE_END(NETSCAPE_SPKI)
IMPLEMENT_ASN1_FUNCTIONS(NETSCAPE_SPKI)
|
./openssl/crypto/asn1/asn_mime.c | /*
* Copyright 2008-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "crypto/ctype.h"
#include "internal/cryptlib.h"
#include <openssl/rand.h>
#include <openssl/x509.h>
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
#include <openssl/cms.h>
#include "crypto/evp.h"
#include "internal/bio.h"
#include "asn1_local.h"
/*
* Generalised MIME like utilities for streaming ASN1. Although many have a
* PKCS7/CMS like flavour others are more general purpose.
*/
/*
* MIME format structures Note that all are translated to lower case apart
* from parameter values. Quotes are stripped off
*/
struct mime_param_st {
char *param_name; /* Param name e.g. "micalg" */
char *param_value; /* Param value e.g. "sha1" */
};
struct mime_header_st {
char *name; /* Name of line e.g. "content-type" */
char *value; /* Value of line e.g. "text/plain" */
STACK_OF(MIME_PARAM) *params; /* Zero or more parameters */
};
static int asn1_output_data(BIO *out, BIO *data, ASN1_VALUE *val, int flags,
const ASN1_ITEM *it);
static char *strip_ends(char *name);
static char *strip_start(char *name);
static char *strip_end(char *name);
static MIME_HEADER *mime_hdr_new(const char *name, const char *value);
static int mime_hdr_addparam(MIME_HEADER *mhdr, const char *name, const char *value);
static STACK_OF(MIME_HEADER) *mime_parse_hdr(BIO *bio);
static int mime_hdr_cmp(const MIME_HEADER *const *a,
const MIME_HEADER *const *b);
static int mime_param_cmp(const MIME_PARAM *const *a,
const MIME_PARAM *const *b);
static void mime_param_free(MIME_PARAM *param);
static int mime_bound_check(char *line, int linelen, const char *bound, int blen);
static int multi_split(BIO *bio, int flags, const char *bound, STACK_OF(BIO) **ret);
static int strip_eol(char *linebuf, int *plen, int flags);
static MIME_HEADER *mime_hdr_find(STACK_OF(MIME_HEADER) *hdrs, const char *name);
static MIME_PARAM *mime_param_find(MIME_HEADER *hdr, const char *name);
static void mime_hdr_free(MIME_HEADER *hdr);
#define MAX_SMLEN 1024
#define mime_debug(x) /* x */
/* Output an ASN1 structure in BER format streaming if necessary */
/* unfortunately cannot constify this due to CMS_stream() and PKCS7_stream() */
int i2d_ASN1_bio_stream(BIO *out, ASN1_VALUE *val, BIO *in, int flags,
const ASN1_ITEM *it)
{
int rv = 1;
/* If streaming create stream BIO and copy all content through it */
if (flags & SMIME_STREAM) {
BIO *bio, *tbio;
bio = BIO_new_NDEF(out, val, it);
if (!bio) {
ERR_raise(ERR_LIB_ASN1, ERR_R_BUF_LIB);
return 0;
}
if (!SMIME_crlf_copy(in, bio, flags)) {
rv = 0;
}
(void)BIO_flush(bio);
/* Free up successive BIOs until we hit the old output BIO */
do {
tbio = BIO_pop(bio);
BIO_free(bio);
bio = tbio;
} while (bio != out);
}
/*
* else just write out ASN1 structure which will have all content stored
* internally
*/
else
ASN1_item_i2d_bio(it, out, val);
return rv;
}
/* Base 64 read and write of ASN1 structure */
static int B64_write_ASN1(BIO *out, ASN1_VALUE *val, BIO *in, int flags,
const ASN1_ITEM *it)
{
BIO *b64;
int r;
b64 = BIO_new(BIO_f_base64());
if (b64 == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_BIO_LIB);
return 0;
}
/*
* prepend the b64 BIO so all data is base64 encoded.
*/
out = BIO_push(b64, out);
r = i2d_ASN1_bio_stream(out, val, in, flags, it);
(void)BIO_flush(out);
BIO_pop(out);
BIO_free(b64);
return r;
}
/* Streaming ASN1 PEM write */
int PEM_write_bio_ASN1_stream(BIO *out, ASN1_VALUE *val, BIO *in, int flags,
const char *hdr, const ASN1_ITEM *it)
{
int r;
BIO_printf(out, "-----BEGIN %s-----\n", hdr);
r = B64_write_ASN1(out, val, in, flags, it);
BIO_printf(out, "-----END %s-----\n", hdr);
return r;
}
static ASN1_VALUE *b64_read_asn1(BIO *bio, const ASN1_ITEM *it, ASN1_VALUE **x,
OSSL_LIB_CTX *libctx, const char *propq)
{
BIO *b64;
ASN1_VALUE *val;
if ((b64 = BIO_new(BIO_f_base64())) == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_BIO_LIB);
return 0;
}
bio = BIO_push(b64, bio);
val = ASN1_item_d2i_bio_ex(it, bio, x, libctx, propq);
if (!val)
ERR_raise(ERR_LIB_ASN1, ASN1_R_DECODE_ERROR);
(void)BIO_flush(bio);
BIO_pop(bio);
BIO_free(b64);
return val;
}
/* Generate the MIME "micalg" parameter from RFC3851, RFC4490 */
static int asn1_write_micalg(BIO *out, STACK_OF(X509_ALGOR) *mdalgs)
{
const EVP_MD *md;
int i, have_unknown = 0, write_comma, ret = 0, md_nid;
have_unknown = 0;
write_comma = 0;
for (i = 0; i < sk_X509_ALGOR_num(mdalgs); i++) {
if (write_comma)
BIO_write(out, ",", 1);
write_comma = 1;
md_nid = OBJ_obj2nid(sk_X509_ALGOR_value(mdalgs, i)->algorithm);
md = EVP_get_digestbynid(md_nid);
if (md && md->md_ctrl) {
int rv;
char *micstr;
rv = md->md_ctrl(NULL, EVP_MD_CTRL_MICALG, 0, &micstr);
if (rv > 0) {
BIO_puts(out, micstr);
OPENSSL_free(micstr);
continue;
}
if (rv != -2)
goto err;
}
switch (md_nid) {
case NID_sha1:
BIO_puts(out, "sha1");
break;
case NID_md5:
BIO_puts(out, "md5");
break;
case NID_sha256:
BIO_puts(out, "sha-256");
break;
case NID_sha384:
BIO_puts(out, "sha-384");
break;
case NID_sha512:
BIO_puts(out, "sha-512");
break;
case NID_id_GostR3411_94:
BIO_puts(out, "gostr3411-94");
goto err;
case NID_id_GostR3411_2012_256:
BIO_puts(out, "gostr3411-2012-256");
goto err;
case NID_id_GostR3411_2012_512:
BIO_puts(out, "gostr3411-2012-512");
goto err;
default:
if (have_unknown) {
write_comma = 0;
} else {
BIO_puts(out, "unknown");
have_unknown = 1;
}
break;
}
}
ret = 1;
err:
return ret;
}
/* SMIME sender */
int SMIME_write_ASN1_ex(BIO *bio, ASN1_VALUE *val, BIO *data, int flags,
int ctype_nid, int econt_nid,
STACK_OF(X509_ALGOR) *mdalgs, const ASN1_ITEM *it,
OSSL_LIB_CTX *libctx, const char *propq)
{
char bound[33], c;
int i;
const char *mime_prefix, *mime_eol, *cname = "smime.p7m";
const char *msg_type = NULL;
if (flags & SMIME_OLDMIME)
mime_prefix = "application/x-pkcs7-";
else
mime_prefix = "application/pkcs7-";
if (flags & SMIME_CRLFEOL)
mime_eol = "\r\n";
else
mime_eol = "\n";
if ((flags & SMIME_DETACHED) && data) {
/* We want multipart/signed */
/* Generate a random boundary */
if (RAND_bytes_ex(libctx, (unsigned char *)bound, 32, 0) <= 0)
return 0;
for (i = 0; i < 32; i++) {
c = bound[i] & 0xf;
if (c < 10)
c += '0';
else
c += 'A' - 10;
bound[i] = c;
}
bound[32] = 0;
BIO_printf(bio, "MIME-Version: 1.0%s", mime_eol);
BIO_printf(bio, "Content-Type: multipart/signed;");
BIO_printf(bio, " protocol=\"%ssignature\";", mime_prefix);
BIO_puts(bio, " micalg=\"");
asn1_write_micalg(bio, mdalgs);
BIO_printf(bio, "\"; boundary=\"----%s\"%s%s",
bound, mime_eol, mime_eol);
BIO_printf(bio, "This is an S/MIME signed message%s%s",
mime_eol, mime_eol);
/* Now write out the first part */
BIO_printf(bio, "------%s%s", bound, mime_eol);
if (!asn1_output_data(bio, data, val, flags, it))
return 0;
BIO_printf(bio, "%s------%s%s", mime_eol, bound, mime_eol);
/* Headers for signature */
BIO_printf(bio, "Content-Type: %ssignature;", mime_prefix);
BIO_printf(bio, " name=\"smime.p7s\"%s", mime_eol);
BIO_printf(bio, "Content-Transfer-Encoding: base64%s", mime_eol);
BIO_printf(bio, "Content-Disposition: attachment;");
BIO_printf(bio, " filename=\"smime.p7s\"%s%s", mime_eol, mime_eol);
B64_write_ASN1(bio, val, NULL, 0, it);
BIO_printf(bio, "%s------%s--%s%s", mime_eol, bound,
mime_eol, mime_eol);
return 1;
}
/* Determine smime-type header */
if (ctype_nid == NID_pkcs7_enveloped) {
msg_type = "enveloped-data";
} else if (ctype_nid == NID_pkcs7_signed) {
if (econt_nid == NID_id_smime_ct_receipt)
msg_type = "signed-receipt";
else if (sk_X509_ALGOR_num(mdalgs) >= 0)
msg_type = "signed-data";
else
msg_type = "certs-only";
} else if (ctype_nid == NID_id_smime_ct_compressedData) {
msg_type = "compressed-data";
cname = "smime.p7z";
}
/* MIME headers */
BIO_printf(bio, "MIME-Version: 1.0%s", mime_eol);
BIO_printf(bio, "Content-Disposition: attachment;");
BIO_printf(bio, " filename=\"%s\"%s", cname, mime_eol);
BIO_printf(bio, "Content-Type: %smime;", mime_prefix);
if (msg_type)
BIO_printf(bio, " smime-type=%s;", msg_type);
BIO_printf(bio, " name=\"%s\"%s", cname, mime_eol);
BIO_printf(bio, "Content-Transfer-Encoding: base64%s%s",
mime_eol, mime_eol);
if (!B64_write_ASN1(bio, val, data, flags, it))
return 0;
BIO_printf(bio, "%s", mime_eol);
return 1;
}
int SMIME_write_ASN1(BIO *bio, ASN1_VALUE *val, BIO *data, int flags,
int ctype_nid, int econt_nid,
STACK_OF(X509_ALGOR) *mdalgs, const ASN1_ITEM *it)
{
return SMIME_write_ASN1_ex(bio, val, data, flags, ctype_nid, econt_nid,
mdalgs, it, NULL, NULL);
}
/* Handle output of ASN1 data */
/* cannot constify val because of CMS_dataFinal() */
static int asn1_output_data(BIO *out, BIO *data, ASN1_VALUE *val, int flags,
const ASN1_ITEM *it)
{
BIO *tmpbio;
const ASN1_AUX *aux = it->funcs;
ASN1_STREAM_ARG sarg;
int rv = 1;
/*
* If data is not detached or resigning then the output BIO is already
* set up to finalise when it is written through.
*/
if (!(flags & SMIME_DETACHED) || (flags & PKCS7_REUSE_DIGEST)) {
return SMIME_crlf_copy(data, out, flags);
}
if (!aux || !aux->asn1_cb) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_STREAMING_NOT_SUPPORTED);
return 0;
}
sarg.out = out;
sarg.ndef_bio = NULL;
sarg.boundary = NULL;
/* Let ASN1 code prepend any needed BIOs */
if (aux->asn1_cb(ASN1_OP_DETACHED_PRE, &val, it, &sarg) <= 0)
return 0;
/* Copy data across, passing through filter BIOs for processing */
if (!SMIME_crlf_copy(data, sarg.ndef_bio, flags))
rv = 0;
/* Finalize structure */
if (aux->asn1_cb(ASN1_OP_DETACHED_POST, &val, it, &sarg) <= 0)
rv = 0;
/* Now remove any digests prepended to the BIO */
while (sarg.ndef_bio != out) {
tmpbio = BIO_pop(sarg.ndef_bio);
BIO_free(sarg.ndef_bio);
sarg.ndef_bio = tmpbio;
}
return rv;
}
/*
* SMIME reader: handle multipart/signed and opaque signing. in multipart
* case the content is placed in a memory BIO pointed to by "bcont". In
* opaque this is set to NULL
*/
ASN1_VALUE *SMIME_read_ASN1_ex(BIO *bio, int flags, BIO **bcont,
const ASN1_ITEM *it, ASN1_VALUE **x,
OSSL_LIB_CTX *libctx, const char *propq)
{
BIO *asnin;
STACK_OF(MIME_HEADER) *headers = NULL;
STACK_OF(BIO) *parts = NULL;
MIME_HEADER *hdr;
MIME_PARAM *prm;
ASN1_VALUE *val;
int ret;
if (bcont)
*bcont = NULL;
if ((headers = mime_parse_hdr(bio)) == NULL) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_MIME_PARSE_ERROR);
return NULL;
}
if ((hdr = mime_hdr_find(headers, "content-type")) == NULL
|| hdr->value == NULL) {
sk_MIME_HEADER_pop_free(headers, mime_hdr_free);
ERR_raise(ERR_LIB_ASN1, ASN1_R_NO_CONTENT_TYPE);
return NULL;
}
/* Handle multipart/signed */
if (strcmp(hdr->value, "multipart/signed") == 0) {
/* Split into two parts */
prm = mime_param_find(hdr, "boundary");
if (prm == NULL || prm->param_value == NULL) {
sk_MIME_HEADER_pop_free(headers, mime_hdr_free);
ERR_raise(ERR_LIB_ASN1, ASN1_R_NO_MULTIPART_BOUNDARY);
return NULL;
}
ret = multi_split(bio, flags, prm->param_value, &parts);
sk_MIME_HEADER_pop_free(headers, mime_hdr_free);
if (!ret || (sk_BIO_num(parts) != 2)) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_NO_MULTIPART_BODY_FAILURE);
sk_BIO_pop_free(parts, BIO_vfree);
return NULL;
}
/* Parse the signature piece */
asnin = sk_BIO_value(parts, 1);
if ((headers = mime_parse_hdr(asnin)) == NULL) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_MIME_SIG_PARSE_ERROR);
sk_BIO_pop_free(parts, BIO_vfree);
return NULL;
}
/* Get content type */
if ((hdr = mime_hdr_find(headers, "content-type")) == NULL
|| hdr->value == NULL) {
sk_MIME_HEADER_pop_free(headers, mime_hdr_free);
ERR_raise(ERR_LIB_ASN1, ASN1_R_NO_SIG_CONTENT_TYPE);
sk_BIO_pop_free(parts, BIO_vfree);
return NULL;
}
if (strcmp(hdr->value, "application/x-pkcs7-signature") &&
strcmp(hdr->value, "application/pkcs7-signature")) {
ERR_raise_data(ERR_LIB_ASN1, ASN1_R_SIG_INVALID_MIME_TYPE,
"type: %s", hdr->value);
sk_MIME_HEADER_pop_free(headers, mime_hdr_free);
sk_BIO_pop_free(parts, BIO_vfree);
return NULL;
}
sk_MIME_HEADER_pop_free(headers, mime_hdr_free);
/* Read in ASN1 */
if ((val = b64_read_asn1(asnin, it, x, libctx, propq)) == NULL) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ASN1_SIG_PARSE_ERROR);
sk_BIO_pop_free(parts, BIO_vfree);
return NULL;
}
if (bcont) {
*bcont = sk_BIO_value(parts, 0);
BIO_free(asnin);
sk_BIO_free(parts);
} else {
sk_BIO_pop_free(parts, BIO_vfree);
}
return val;
}
/* OK, if not multipart/signed try opaque signature */
if (strcmp(hdr->value, "application/x-pkcs7-mime") &&
strcmp(hdr->value, "application/pkcs7-mime")) {
ERR_raise_data(ERR_LIB_ASN1, ASN1_R_INVALID_MIME_TYPE,
"type: %s", hdr->value);
sk_MIME_HEADER_pop_free(headers, mime_hdr_free);
return NULL;
}
sk_MIME_HEADER_pop_free(headers, mime_hdr_free);
if ((val = b64_read_asn1(bio, it, x, libctx, propq)) == NULL) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ASN1_PARSE_ERROR);
return NULL;
}
return val;
}
ASN1_VALUE *SMIME_read_ASN1(BIO *bio, BIO **bcont, const ASN1_ITEM *it)
{
return SMIME_read_ASN1_ex(bio, 0, bcont, it, NULL, NULL, NULL);
}
/* Copy text from one BIO to another making the output CRLF at EOL */
int SMIME_crlf_copy(BIO *in, BIO *out, int flags)
{
BIO *bf;
char eol;
int len;
char linebuf[MAX_SMLEN];
int ret;
if (in == NULL || out == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
/*
* Buffer output so we don't write one line at a time. This is useful
* when streaming as we don't end up with one OCTET STRING per line.
*/
bf = BIO_new(BIO_f_buffer());
if (bf == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_BIO_LIB);
return 0;
}
out = BIO_push(bf, out);
if (flags & SMIME_BINARY) {
while ((len = BIO_read(in, linebuf, MAX_SMLEN)) > 0)
BIO_write(out, linebuf, len);
} else {
int eolcnt = 0;
if (flags & SMIME_TEXT)
BIO_printf(out, "Content-Type: text/plain\r\n\r\n");
while ((len = BIO_gets(in, linebuf, MAX_SMLEN)) > 0) {
eol = strip_eol(linebuf, &len, flags);
if (len > 0) {
/* Not EOF: write out all CRLF */
if (flags & SMIME_ASCIICRLF) {
int i;
for (i = 0; i < eolcnt; i++)
BIO_write(out, "\r\n", 2);
eolcnt = 0;
}
BIO_write(out, linebuf, len);
if (eol)
BIO_write(out, "\r\n", 2);
} else if (flags & SMIME_ASCIICRLF) {
eolcnt++;
} else if (eol) {
BIO_write(out, "\r\n", 2);
}
}
}
ret = BIO_flush(out);
BIO_pop(out);
BIO_free(bf);
if (ret <= 0)
return 0;
return 1;
}
/* Strip off headers if they are text/plain */
int SMIME_text(BIO *in, BIO *out)
{
char iobuf[4096];
int len;
STACK_OF(MIME_HEADER) *headers;
MIME_HEADER *hdr;
if ((headers = mime_parse_hdr(in)) == NULL) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_MIME_PARSE_ERROR);
return 0;
}
if ((hdr = mime_hdr_find(headers, "content-type")) == NULL
|| hdr->value == NULL) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_MIME_NO_CONTENT_TYPE);
sk_MIME_HEADER_pop_free(headers, mime_hdr_free);
return 0;
}
if (strcmp(hdr->value, "text/plain")) {
ERR_raise_data(ERR_LIB_ASN1, ASN1_R_INVALID_MIME_TYPE,
"type: %s", hdr->value);
sk_MIME_HEADER_pop_free(headers, mime_hdr_free);
return 0;
}
sk_MIME_HEADER_pop_free(headers, mime_hdr_free);
while ((len = BIO_read(in, iobuf, sizeof(iobuf))) > 0)
BIO_write(out, iobuf, len);
if (len < 0)
return 0;
return 1;
}
/*
* Split a multipart/XXX message body into component parts: result is
* canonical parts in a STACK of bios
*/
static int multi_split(BIO *bio, int flags, const char *bound, STACK_OF(BIO) **ret)
{
char linebuf[MAX_SMLEN];
int len, blen;
int eol = 0, next_eol = 0;
BIO *bpart = NULL;
STACK_OF(BIO) *parts;
char state, part, first;
blen = strlen(bound);
part = 0;
state = 0;
first = 1;
parts = sk_BIO_new_null();
*ret = parts;
if (*ret == NULL)
return 0;
while ((len = BIO_get_line(bio, linebuf, MAX_SMLEN)) > 0) {
state = mime_bound_check(linebuf, len, bound, blen);
if (state == 1) {
first = 1;
part++;
} else if (state == 2) {
if (!sk_BIO_push(parts, bpart)) {
BIO_free(bpart);
return 0;
}
return 1;
} else if (part != 0) {
/* Strip (possibly CR +) LF from linebuf */
next_eol = strip_eol(linebuf, &len, flags);
if (first) {
first = 0;
if (bpart)
if (!sk_BIO_push(parts, bpart)) {
BIO_free(bpart);
return 0;
}
bpart = BIO_new(BIO_s_mem());
if (bpart == NULL)
return 0;
BIO_set_mem_eof_return(bpart, 0);
} else if (eol) {
if (
#ifndef OPENSSL_NO_CMS
(flags & CMS_BINARY) == 0
#else
1
#endif
|| (flags & SMIME_CRLFEOL) != 0)
BIO_write(bpart, "\r\n", 2);
else
BIO_write(bpart, "\n", 1);
}
eol = next_eol;
if (len > 0)
BIO_write(bpart, linebuf, len);
}
}
BIO_free(bpart);
return 0;
}
/* This is the big one: parse MIME header lines up to message body */
#define MIME_INVALID 0
#define MIME_START 1
#define MIME_TYPE 2
#define MIME_NAME 3
#define MIME_VALUE 4
#define MIME_QUOTE 5
#define MIME_COMMENT 6
static STACK_OF(MIME_HEADER) *mime_parse_hdr(BIO *bio)
{
char *p, *q, c;
char *ntmp;
char linebuf[MAX_SMLEN];
MIME_HEADER *mhdr = NULL, *new_hdr = NULL;
STACK_OF(MIME_HEADER) *headers;
int i, len, state, save_state = 0;
headers = sk_MIME_HEADER_new(mime_hdr_cmp);
if (headers == NULL)
return NULL;
while ((len = BIO_gets(bio, linebuf, MAX_SMLEN)) > 0) {
/* If whitespace at line start then continuation line */
if (mhdr && ossl_isspace(linebuf[0]))
state = MIME_NAME;
else
state = MIME_START;
ntmp = NULL;
/* Go through all characters */
for (p = linebuf, q = linebuf; (c = *p) && (c != '\r') && (c != '\n');
p++) {
/*
* State machine to handle MIME headers if this looks horrible
* that's because it *is*
*/
switch (state) {
case MIME_START:
if (c == ':') {
state = MIME_TYPE;
*p = 0;
ntmp = strip_ends(q);
q = p + 1;
}
break;
case MIME_TYPE:
if (c == ';') {
mime_debug("Found End Value\n");
*p = 0;
new_hdr = mime_hdr_new(ntmp, strip_ends(q));
if (new_hdr == NULL)
goto err;
if (!sk_MIME_HEADER_push(headers, new_hdr))
goto err;
mhdr = new_hdr;
new_hdr = NULL;
ntmp = NULL;
q = p + 1;
state = MIME_NAME;
} else if (c == '(') {
save_state = state;
state = MIME_COMMENT;
}
break;
case MIME_COMMENT:
if (c == ')') {
state = save_state;
}
break;
case MIME_NAME:
if (c == '=') {
state = MIME_VALUE;
*p = 0;
ntmp = strip_ends(q);
q = p + 1;
}
break;
case MIME_VALUE:
if (c == ';') {
state = MIME_NAME;
*p = 0;
mime_hdr_addparam(mhdr, ntmp, strip_ends(q));
ntmp = NULL;
q = p + 1;
} else if (c == '"') {
mime_debug("Found Quote\n");
state = MIME_QUOTE;
} else if (c == '(') {
save_state = state;
state = MIME_COMMENT;
}
break;
case MIME_QUOTE:
if (c == '"') {
mime_debug("Found Match Quote\n");
state = MIME_VALUE;
}
break;
}
}
if (state == MIME_TYPE) {
new_hdr = mime_hdr_new(ntmp, strip_ends(q));
if (new_hdr == NULL)
goto err;
if (!sk_MIME_HEADER_push(headers, new_hdr))
goto err;
mhdr = new_hdr;
new_hdr = NULL;
} else if (state == MIME_VALUE) {
mime_hdr_addparam(mhdr, ntmp, strip_ends(q));
}
if (p == linebuf)
break; /* Blank line means end of headers */
}
/* Sort the headers and their params for faster searching */
sk_MIME_HEADER_sort(headers);
for (i = 0; i < sk_MIME_HEADER_num(headers); i++)
if ((mhdr = sk_MIME_HEADER_value(headers, i)) != NULL
&& mhdr->params != NULL)
sk_MIME_PARAM_sort(mhdr->params);
return headers;
err:
mime_hdr_free(new_hdr);
sk_MIME_HEADER_pop_free(headers, mime_hdr_free);
return NULL;
}
static char *strip_ends(char *name)
{
return strip_end(strip_start(name));
}
/* Strip a parameter of whitespace from start of param */
static char *strip_start(char *name)
{
char *p, c;
/* Look for first non whitespace or quote */
for (p = name; (c = *p); p++) {
if (c == '"') {
/* Next char is start of string if non null */
if (p[1])
return p + 1;
/* Else null string */
return NULL;
}
if (!ossl_isspace(c))
return p;
}
return NULL;
}
/* As above but strip from end of string : maybe should handle brackets? */
static char *strip_end(char *name)
{
char *p, c;
if (!name)
return NULL;
/* Look for first non whitespace or quote */
for (p = name + strlen(name) - 1; p >= name; p--) {
c = *p;
if (c == '"') {
if (p - 1 == name)
return NULL;
*p = 0;
return name;
}
if (ossl_isspace(c))
*p = 0;
else
return name;
}
return NULL;
}
static MIME_HEADER *mime_hdr_new(const char *name, const char *value)
{
MIME_HEADER *mhdr = NULL;
char *tmpname = NULL, *tmpval = NULL, *p;
if (name) {
if ((tmpname = OPENSSL_strdup(name)) == NULL)
return NULL;
for (p = tmpname; *p; p++)
*p = ossl_tolower(*p);
}
if (value) {
if ((tmpval = OPENSSL_strdup(value)) == NULL)
goto err;
for (p = tmpval; *p; p++)
*p = ossl_tolower(*p);
}
mhdr = OPENSSL_malloc(sizeof(*mhdr));
if (mhdr == NULL)
goto err;
mhdr->name = tmpname;
mhdr->value = tmpval;
if ((mhdr->params = sk_MIME_PARAM_new(mime_param_cmp)) == NULL)
goto err;
return mhdr;
err:
OPENSSL_free(tmpname);
OPENSSL_free(tmpval);
OPENSSL_free(mhdr);
return NULL;
}
static int mime_hdr_addparam(MIME_HEADER *mhdr, const char *name, const char *value)
{
char *tmpname = NULL, *tmpval = NULL, *p;
MIME_PARAM *mparam = NULL;
if (name) {
tmpname = OPENSSL_strdup(name);
if (!tmpname)
goto err;
for (p = tmpname; *p; p++)
*p = ossl_tolower(*p);
}
if (value) {
tmpval = OPENSSL_strdup(value);
if (!tmpval)
goto err;
}
/* Parameter values are case sensitive so leave as is */
mparam = OPENSSL_malloc(sizeof(*mparam));
if (mparam == NULL)
goto err;
mparam->param_name = tmpname;
mparam->param_value = tmpval;
if (!sk_MIME_PARAM_push(mhdr->params, mparam))
goto err;
return 1;
err:
OPENSSL_free(tmpname);
OPENSSL_free(tmpval);
OPENSSL_free(mparam);
return 0;
}
static int mime_hdr_cmp(const MIME_HEADER *const *a,
const MIME_HEADER *const *b)
{
if ((*a)->name == NULL || (*b)->name == NULL)
return ((*a)->name != NULL) - ((*b)->name != NULL);
return strcmp((*a)->name, (*b)->name);
}
static int mime_param_cmp(const MIME_PARAM *const *a,
const MIME_PARAM *const *b)
{
if ((*a)->param_name == NULL || (*b)->param_name == NULL)
return ((*a)->param_name != NULL) - ((*b)->param_name != NULL);
return strcmp((*a)->param_name, (*b)->param_name);
}
/* Find a header with a given name (if possible) */
static MIME_HEADER *mime_hdr_find(STACK_OF(MIME_HEADER) *hdrs, const char *name)
{
MIME_HEADER htmp;
int idx;
htmp.name = (char *)name;
htmp.value = NULL;
htmp.params = NULL;
idx = sk_MIME_HEADER_find(hdrs, &htmp);
return sk_MIME_HEADER_value(hdrs, idx);
}
static MIME_PARAM *mime_param_find(MIME_HEADER *hdr, const char *name)
{
MIME_PARAM param;
int idx;
param.param_name = (char *)name;
param.param_value = NULL;
idx = sk_MIME_PARAM_find(hdr->params, ¶m);
return sk_MIME_PARAM_value(hdr->params, idx);
}
static void mime_hdr_free(MIME_HEADER *hdr)
{
if (hdr == NULL)
return;
OPENSSL_free(hdr->name);
OPENSSL_free(hdr->value);
if (hdr->params)
sk_MIME_PARAM_pop_free(hdr->params, mime_param_free);
OPENSSL_free(hdr);
}
static void mime_param_free(MIME_PARAM *param)
{
OPENSSL_free(param->param_name);
OPENSSL_free(param->param_value);
OPENSSL_free(param);
}
/*-
* Check for a multipart boundary. Returns:
* 0 : no boundary
* 1 : part boundary
* 2 : final boundary
*/
static int mime_bound_check(char *line, int linelen, const char *bound, int blen)
{
if (linelen == -1)
linelen = strlen(line);
if (blen == -1)
blen = strlen(bound);
/* Quickly eliminate if line length too short */
if (blen + 2 > linelen)
return 0;
/* Check for part boundary */
if ((CHECK_AND_SKIP_PREFIX(line, "--")) && strncmp(line, bound, blen) == 0)
return HAS_PREFIX(line + blen, "--") ? 2 : 1;
return 0;
}
static int strip_eol(char *linebuf, int *plen, int flags)
{
int len = *plen;
char *p, c;
int is_eol = 0;
#ifndef OPENSSL_NO_CMS
if ((flags & CMS_BINARY) != 0) {
if (len <= 0 || linebuf[len - 1] != '\n')
return 0;
if ((flags & SMIME_CRLFEOL) != 0) {
if (len <= 1 || linebuf[len - 2] != '\r')
return 0;
len--;
}
len--;
*plen = len;
return 1;
}
#endif
for (p = linebuf + len - 1; len > 0; len--, p--) {
c = *p;
if (c == '\n') {
is_eol = 1;
} else if (is_eol && (flags & SMIME_ASCIICRLF) != 0 && c == 32) {
/* Strip trailing space on a line; 32 == ASCII for ' ' */
continue;
} else if (c != '\r') {
break;
}
}
*plen = len;
return is_eol;
}
|
./openssl/crypto/asn1/a_bitstr.c | /*
* Copyright 1995-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <limits.h>
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/asn1.h>
#include "asn1_local.h"
int ASN1_BIT_STRING_set(ASN1_BIT_STRING *x, unsigned char *d, int len)
{
return ASN1_STRING_set(x, d, len);
}
int ossl_i2c_ASN1_BIT_STRING(ASN1_BIT_STRING *a, unsigned char **pp)
{
int ret, j, bits, len;
unsigned char *p, *d;
if (a == NULL)
return 0;
len = a->length;
if (len > 0) {
if (a->flags & ASN1_STRING_FLAG_BITS_LEFT) {
bits = (int)a->flags & 0x07;
} else {
for (; len > 0; len--) {
if (a->data[len - 1])
break;
}
j = a->data[len - 1];
if (j & 0x01)
bits = 0;
else if (j & 0x02)
bits = 1;
else if (j & 0x04)
bits = 2;
else if (j & 0x08)
bits = 3;
else if (j & 0x10)
bits = 4;
else if (j & 0x20)
bits = 5;
else if (j & 0x40)
bits = 6;
else if (j & 0x80)
bits = 7;
else
bits = 0; /* should not happen */
}
} else
bits = 0;
ret = 1 + len;
if (pp == NULL)
return ret;
p = *pp;
*(p++) = (unsigned char)bits;
d = a->data;
if (len > 0) {
memcpy(p, d, len);
p += len;
p[-1] &= (0xff << bits);
}
*pp = p;
return ret;
}
ASN1_BIT_STRING *ossl_c2i_ASN1_BIT_STRING(ASN1_BIT_STRING **a,
const unsigned char **pp, long len)
{
ASN1_BIT_STRING *ret = NULL;
const unsigned char *p;
unsigned char *s;
int i = 0;
if (len < 1) {
i = ASN1_R_STRING_TOO_SHORT;
goto err;
}
if (len > INT_MAX) {
i = ASN1_R_STRING_TOO_LONG;
goto err;
}
if ((a == NULL) || ((*a) == NULL)) {
if ((ret = ASN1_BIT_STRING_new()) == NULL)
return NULL;
} else
ret = (*a);
p = *pp;
i = *(p++);
if (i > 7) {
i = ASN1_R_INVALID_BIT_STRING_BITS_LEFT;
goto err;
}
/*
* We do this to preserve the settings. If we modify the settings, via
* the _set_bit function, we will recalculate on output
*/
ossl_asn1_string_set_bits_left(ret, i);
if (len-- > 1) { /* using one because of the bits left byte */
s = OPENSSL_malloc((int)len);
if (s == NULL) {
goto err;
}
memcpy(s, p, (int)len);
s[len - 1] &= (0xff << i);
p += len;
} else
s = NULL;
ASN1_STRING_set0(ret, s, (int)len);
ret->type = V_ASN1_BIT_STRING;
if (a != NULL)
(*a) = ret;
*pp = p;
return ret;
err:
if (i != 0)
ERR_raise(ERR_LIB_ASN1, i);
if ((a == NULL) || (*a != ret))
ASN1_BIT_STRING_free(ret);
return NULL;
}
/*
* These next 2 functions from Goetz Babin-Ebell.
*/
int ASN1_BIT_STRING_set_bit(ASN1_BIT_STRING *a, int n, int value)
{
int w, v, iv;
unsigned char *c;
if (n < 0)
return 0;
w = n / 8;
v = 1 << (7 - (n & 0x07));
iv = ~v;
if (!value)
v = 0;
if (a == NULL)
return 0;
a->flags &= ~(ASN1_STRING_FLAG_BITS_LEFT | 0x07); /* clear, set on write */
if ((a->length < (w + 1)) || (a->data == NULL)) {
if (!value)
return 1; /* Don't need to set */
c = OPENSSL_clear_realloc(a->data, a->length, w + 1);
if (c == NULL)
return 0;
if (w + 1 - a->length > 0)
memset(c + a->length, 0, w + 1 - a->length);
a->data = c;
a->length = w + 1;
}
a->data[w] = ((a->data[w]) & iv) | v;
while ((a->length > 0) && (a->data[a->length - 1] == 0))
a->length--;
return 1;
}
int ASN1_BIT_STRING_get_bit(const ASN1_BIT_STRING *a, int n)
{
int w, v;
if (n < 0)
return 0;
w = n / 8;
v = 1 << (7 - (n & 0x07));
if ((a == NULL) || (a->length < (w + 1)) || (a->data == NULL))
return 0;
return ((a->data[w] & v) != 0);
}
/*
* Checks if the given bit string contains only bits specified by
* the flags vector. Returns 0 if there is at least one bit set in 'a'
* which is not specified in 'flags', 1 otherwise.
* 'len' is the length of 'flags'.
*/
int ASN1_BIT_STRING_check(const ASN1_BIT_STRING *a,
const unsigned char *flags, int flags_len)
{
int i, ok;
/* Check if there is one bit set at all. */
if (!a || !a->data)
return 1;
/*
* Check each byte of the internal representation of the bit string.
*/
ok = 1;
for (i = 0; i < a->length && ok; ++i) {
unsigned char mask = i < flags_len ? ~flags[i] : 0xff;
/* We are done if there is an unneeded bit set. */
ok = (a->data[i] & mask) == 0;
}
return ok;
}
|
./openssl/crypto/asn1/tasn_fre.c | /*
* Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stddef.h>
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
#include <openssl/objects.h>
#include "asn1_local.h"
/* Free up an ASN1 structure */
void ASN1_item_free(ASN1_VALUE *val, const ASN1_ITEM *it)
{
ossl_asn1_item_embed_free(&val, it, 0);
}
void ASN1_item_ex_free(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
ossl_asn1_item_embed_free(pval, it, 0);
}
void ossl_asn1_item_embed_free(ASN1_VALUE **pval, const ASN1_ITEM *it, int embed)
{
const ASN1_TEMPLATE *tt = NULL, *seqtt;
const ASN1_EXTERN_FUNCS *ef;
const ASN1_AUX *aux = it->funcs;
ASN1_aux_cb *asn1_cb;
int i;
if (pval == NULL)
return;
if ((it->itype != ASN1_ITYPE_PRIMITIVE) && *pval == NULL)
return;
if (aux && aux->asn1_cb)
asn1_cb = aux->asn1_cb;
else
asn1_cb = 0;
switch (it->itype) {
case ASN1_ITYPE_PRIMITIVE:
if (it->templates)
ossl_asn1_template_free(pval, it->templates);
else
ossl_asn1_primitive_free(pval, it, embed);
break;
case ASN1_ITYPE_MSTRING:
ossl_asn1_primitive_free(pval, it, embed);
break;
case ASN1_ITYPE_CHOICE:
if (asn1_cb) {
i = asn1_cb(ASN1_OP_FREE_PRE, pval, it, NULL);
if (i == 2)
return;
}
i = ossl_asn1_get_choice_selector(pval, it);
if ((i >= 0) && (i < it->tcount)) {
ASN1_VALUE **pchval;
tt = it->templates + i;
pchval = ossl_asn1_get_field_ptr(pval, tt);
ossl_asn1_template_free(pchval, tt);
}
if (asn1_cb)
asn1_cb(ASN1_OP_FREE_POST, pval, it, NULL);
if (embed == 0) {
OPENSSL_free(*pval);
*pval = NULL;
}
break;
case ASN1_ITYPE_EXTERN:
ef = it->funcs;
if (ef && ef->asn1_ex_free)
ef->asn1_ex_free(pval, it);
break;
case ASN1_ITYPE_NDEF_SEQUENCE:
case ASN1_ITYPE_SEQUENCE:
if (ossl_asn1_do_lock(pval, -1, it) != 0) /* if error or ref-counter > 0 */
return;
if (asn1_cb) {
i = asn1_cb(ASN1_OP_FREE_PRE, pval, it, NULL);
if (i == 2)
return;
}
ossl_asn1_enc_free(pval, it);
/*
* If we free up as normal we will invalidate any ANY DEFINED BY
* field and we won't be able to determine the type of the field it
* defines. So free up in reverse order.
*/
tt = it->templates + it->tcount;
for (i = 0; i < it->tcount; i++) {
ASN1_VALUE **pseqval;
tt--;
seqtt = ossl_asn1_do_adb(*pval, tt, 0);
if (!seqtt)
continue;
pseqval = ossl_asn1_get_field_ptr(pval, seqtt);
ossl_asn1_template_free(pseqval, seqtt);
}
if (asn1_cb)
asn1_cb(ASN1_OP_FREE_POST, pval, it, NULL);
if (embed == 0) {
OPENSSL_free(*pval);
*pval = NULL;
}
break;
}
}
void ossl_asn1_template_free(ASN1_VALUE **pval, const ASN1_TEMPLATE *tt)
{
int embed = tt->flags & ASN1_TFLG_EMBED;
ASN1_VALUE *tval;
if (embed) {
tval = (ASN1_VALUE *)pval;
pval = &tval;
}
if (tt->flags & ASN1_TFLG_SK_MASK) {
STACK_OF(ASN1_VALUE) *sk = (STACK_OF(ASN1_VALUE) *)*pval;
int i;
for (i = 0; i < sk_ASN1_VALUE_num(sk); i++) {
ASN1_VALUE *vtmp = sk_ASN1_VALUE_value(sk, i);
ossl_asn1_item_embed_free(&vtmp, ASN1_ITEM_ptr(tt->item), embed);
}
sk_ASN1_VALUE_free(sk);
*pval = NULL;
} else {
ossl_asn1_item_embed_free(pval, ASN1_ITEM_ptr(tt->item), embed);
}
}
void ossl_asn1_primitive_free(ASN1_VALUE **pval, const ASN1_ITEM *it, int embed)
{
int utype;
/* Special case: if 'it' is a primitive with a free_func, use that. */
if (it) {
const ASN1_PRIMITIVE_FUNCS *pf = it->funcs;
if (embed) {
if (pf && pf->prim_clear) {
pf->prim_clear(pval, it);
return;
}
} else if (pf && pf->prim_free) {
pf->prim_free(pval, it);
return;
}
}
/* Special case: if 'it' is NULL, free contents of ASN1_TYPE */
if (!it) {
ASN1_TYPE *typ = (ASN1_TYPE *)*pval;
utype = typ->type;
pval = &typ->value.asn1_value;
if (*pval == NULL)
return;
} else if (it->itype == ASN1_ITYPE_MSTRING) {
utype = -1;
if (*pval == NULL)
return;
} else {
utype = it->utype;
if ((utype != V_ASN1_BOOLEAN) && *pval == NULL)
return;
}
switch (utype) {
case V_ASN1_OBJECT:
ASN1_OBJECT_free((ASN1_OBJECT *)*pval);
break;
case V_ASN1_BOOLEAN:
if (it)
*(ASN1_BOOLEAN *)pval = it->size;
else
*(ASN1_BOOLEAN *)pval = -1;
return;
case V_ASN1_NULL:
break;
case V_ASN1_ANY:
ossl_asn1_primitive_free(pval, NULL, 0);
OPENSSL_free(*pval);
break;
default:
ossl_asn1_string_embed_free((ASN1_STRING *)*pval, embed);
break;
}
*pval = NULL;
}
|
./openssl/crypto/asn1/x_bignum.c | /*
* Copyright 2000-2016 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/asn1t.h>
#include <openssl/bn.h>
/*
* Custom primitive type for BIGNUM handling. This reads in an ASN1_INTEGER
* as a BIGNUM directly. Currently it ignores the sign which isn't a problem
* since all BIGNUMs used are non negative and anything that looks negative
* is normally due to an encoding error.
*/
#define BN_SENSITIVE 1
static int bn_new(ASN1_VALUE **pval, const ASN1_ITEM *it);
static int bn_secure_new(ASN1_VALUE **pval, const ASN1_ITEM *it);
static void bn_free(ASN1_VALUE **pval, const ASN1_ITEM *it);
static int bn_i2c(const ASN1_VALUE **pval, unsigned char *cont, int *putype,
const ASN1_ITEM *it);
static int bn_c2i(ASN1_VALUE **pval, const unsigned char *cont, int len,
int utype, char *free_cont, const ASN1_ITEM *it);
static int bn_secure_c2i(ASN1_VALUE **pval, const unsigned char *cont, int len,
int utype, char *free_cont, const ASN1_ITEM *it);
static int bn_print(BIO *out, const ASN1_VALUE **pval, const ASN1_ITEM *it,
int indent, const ASN1_PCTX *pctx);
static ASN1_PRIMITIVE_FUNCS bignum_pf = {
NULL, 0,
bn_new,
bn_free,
0,
bn_c2i,
bn_i2c,
bn_print
};
static ASN1_PRIMITIVE_FUNCS cbignum_pf = {
NULL, 0,
bn_secure_new,
bn_free,
0,
bn_secure_c2i,
bn_i2c,
bn_print
};
ASN1_ITEM_start(BIGNUM)
ASN1_ITYPE_PRIMITIVE, V_ASN1_INTEGER, NULL, 0, &bignum_pf, 0, "BIGNUM"
ASN1_ITEM_end(BIGNUM)
ASN1_ITEM_start(CBIGNUM)
ASN1_ITYPE_PRIMITIVE, V_ASN1_INTEGER, NULL, 0, &cbignum_pf, BN_SENSITIVE, "CBIGNUM"
ASN1_ITEM_end(CBIGNUM)
static int bn_new(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
*pval = (ASN1_VALUE *)BN_new();
if (*pval != NULL)
return 1;
else
return 0;
}
static int bn_secure_new(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
*pval = (ASN1_VALUE *)BN_secure_new();
if (*pval != NULL)
return 1;
else
return 0;
}
static void bn_free(ASN1_VALUE **pval, const ASN1_ITEM *it)
{
if (*pval == NULL)
return;
if (it->size & BN_SENSITIVE)
BN_clear_free((BIGNUM *)*pval);
else
BN_free((BIGNUM *)*pval);
*pval = NULL;
}
static int bn_i2c(const ASN1_VALUE **pval, unsigned char *cont, int *putype,
const ASN1_ITEM *it)
{
BIGNUM *bn;
int pad;
if (*pval == NULL)
return -1;
bn = (BIGNUM *)*pval;
/* If MSB set in an octet we need a padding byte */
if (BN_num_bits(bn) & 0x7)
pad = 0;
else
pad = 1;
if (cont) {
if (pad)
*cont++ = 0;
BN_bn2bin(bn, cont);
}
return pad + BN_num_bytes(bn);
}
static int bn_c2i(ASN1_VALUE **pval, const unsigned char *cont, int len,
int utype, char *free_cont, const ASN1_ITEM *it)
{
BIGNUM *bn;
if (*pval == NULL && !bn_new(pval, it))
return 0;
bn = (BIGNUM *)*pval;
if (!BN_bin2bn(cont, len, bn)) {
bn_free(pval, it);
return 0;
}
return 1;
}
static int bn_secure_c2i(ASN1_VALUE **pval, const unsigned char *cont, int len,
int utype, char *free_cont, const ASN1_ITEM *it)
{
int ret;
BIGNUM *bn;
if (*pval == NULL && !bn_secure_new(pval, it))
return 0;
ret = bn_c2i(pval, cont, len, utype, free_cont, it);
if (!ret)
return 0;
/* Set constant-time flag for all secure BIGNUMS */
bn = (BIGNUM *)*pval;
BN_set_flags(bn, BN_FLG_CONSTTIME);
return ret;
}
static int bn_print(BIO *out, const ASN1_VALUE **pval, const ASN1_ITEM *it,
int indent, const ASN1_PCTX *pctx)
{
if (!BN_print(out, *(BIGNUM **)pval))
return 0;
if (BIO_puts(out, "\n") <= 0)
return 0;
return 1;
}
|
./openssl/crypto/asn1/tasn_enc.c | /*
* Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stddef.h>
#include <string.h>
#include "internal/cryptlib.h"
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
#include <openssl/objects.h>
#include "crypto/asn1.h"
#include "asn1_local.h"
static int asn1_i2d_ex_primitive(const ASN1_VALUE **pval, unsigned char **out,
const ASN1_ITEM *it, int tag, int aclass);
static int asn1_set_seq_out(STACK_OF(const_ASN1_VALUE) *sk,
unsigned char **out,
int skcontlen, const ASN1_ITEM *item,
int do_sort, int iclass);
static int asn1_template_ex_i2d(const ASN1_VALUE **pval, unsigned char **out,
const ASN1_TEMPLATE *tt, int tag, int aclass);
static int asn1_item_flags_i2d(const ASN1_VALUE *val, unsigned char **out,
const ASN1_ITEM *it, int flags);
static int asn1_ex_i2c(const ASN1_VALUE **pval, unsigned char *cout, int *putype,
const ASN1_ITEM *it);
/*
* Top level i2d equivalents: the 'ndef' variant instructs the encoder to use
* indefinite length constructed encoding, where appropriate
*/
int ASN1_item_ndef_i2d(const ASN1_VALUE *val, unsigned char **out,
const ASN1_ITEM *it)
{
return asn1_item_flags_i2d(val, out, it, ASN1_TFLG_NDEF);
}
int ASN1_item_i2d(const ASN1_VALUE *val, unsigned char **out, const ASN1_ITEM *it)
{
return asn1_item_flags_i2d(val, out, it, 0);
}
/*
* Encode an ASN1 item, this is use by the standard 'i2d' function. 'out'
* points to a buffer to output the data to. The new i2d has one additional
* feature. If the output buffer is NULL (i.e. *out == NULL) then a buffer is
* allocated and populated with the encoding.
*/
static int asn1_item_flags_i2d(const ASN1_VALUE *val, unsigned char **out,
const ASN1_ITEM *it, int flags)
{
if (out != NULL && *out == NULL) {
unsigned char *p, *buf;
int len;
len = ASN1_item_ex_i2d(&val, NULL, it, -1, flags);
if (len <= 0)
return len;
if ((buf = OPENSSL_malloc(len)) == NULL)
return -1;
p = buf;
ASN1_item_ex_i2d(&val, &p, it, -1, flags);
*out = buf;
return len;
}
return ASN1_item_ex_i2d(&val, out, it, -1, flags);
}
/*
* Encode an item, taking care of IMPLICIT tagging (if any). This function
* performs the normal item handling: it can be used in external types.
*/
int ASN1_item_ex_i2d(const ASN1_VALUE **pval, unsigned char **out,
const ASN1_ITEM *it, int tag, int aclass)
{
const ASN1_TEMPLATE *tt = NULL;
int i, seqcontlen, seqlen, ndef = 1;
const ASN1_EXTERN_FUNCS *ef;
const ASN1_AUX *aux = it->funcs;
ASN1_aux_const_cb *asn1_cb = NULL;
if ((it->itype != ASN1_ITYPE_PRIMITIVE) && *pval == NULL)
return 0;
if (aux != NULL) {
asn1_cb = ((aux->flags & ASN1_AFLG_CONST_CB) != 0) ? aux->asn1_const_cb
: (ASN1_aux_const_cb *)aux->asn1_cb; /* backward compatibility */
}
switch (it->itype) {
case ASN1_ITYPE_PRIMITIVE:
if (it->templates)
return asn1_template_ex_i2d(pval, out, it->templates,
tag, aclass);
return asn1_i2d_ex_primitive(pval, out, it, tag, aclass);
case ASN1_ITYPE_MSTRING:
/*
* It never makes sense for multi-strings to have implicit tagging, so
* if tag != -1, then this looks like an error in the template.
*/
if (tag != -1) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_BAD_TEMPLATE);
return -1;
}
return asn1_i2d_ex_primitive(pval, out, it, -1, aclass);
case ASN1_ITYPE_CHOICE:
/*
* It never makes sense for CHOICE types to have implicit tagging, so
* if tag != -1, then this looks like an error in the template.
*/
if (tag != -1) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_BAD_TEMPLATE);
return -1;
}
if (asn1_cb && !asn1_cb(ASN1_OP_I2D_PRE, pval, it, NULL))
return 0;
i = ossl_asn1_get_choice_selector_const(pval, it);
if ((i >= 0) && (i < it->tcount)) {
const ASN1_VALUE **pchval;
const ASN1_TEMPLATE *chtt;
chtt = it->templates + i;
pchval = ossl_asn1_get_const_field_ptr(pval, chtt);
return asn1_template_ex_i2d(pchval, out, chtt, -1, aclass);
}
/* Fixme: error condition if selector out of range */
if (asn1_cb && !asn1_cb(ASN1_OP_I2D_POST, pval, it, NULL))
return 0;
break;
case ASN1_ITYPE_EXTERN:
/* If new style i2d it does all the work */
ef = it->funcs;
return ef->asn1_ex_i2d(pval, out, it, tag, aclass);
case ASN1_ITYPE_NDEF_SEQUENCE:
/* Use indefinite length constructed if requested */
if (aclass & ASN1_TFLG_NDEF)
ndef = 2;
/* fall through */
case ASN1_ITYPE_SEQUENCE:
i = ossl_asn1_enc_restore(&seqcontlen, out, pval, it);
/* An error occurred */
if (i < 0)
return 0;
/* We have a valid cached encoding... */
if (i > 0)
return seqcontlen;
/* Otherwise carry on */
seqcontlen = 0;
/* If no IMPLICIT tagging set to SEQUENCE, UNIVERSAL */
if (tag == -1) {
tag = V_ASN1_SEQUENCE;
/* Retain any other flags in aclass */
aclass = (aclass & ~ASN1_TFLG_TAG_CLASS)
| V_ASN1_UNIVERSAL;
}
if (asn1_cb && !asn1_cb(ASN1_OP_I2D_PRE, pval, it, NULL))
return 0;
/* First work out sequence content length */
for (i = 0, tt = it->templates; i < it->tcount; tt++, i++) {
const ASN1_TEMPLATE *seqtt;
const ASN1_VALUE **pseqval;
int tmplen;
seqtt = ossl_asn1_do_adb(*pval, tt, 1);
if (!seqtt)
return 0;
pseqval = ossl_asn1_get_const_field_ptr(pval, seqtt);
tmplen = asn1_template_ex_i2d(pseqval, NULL, seqtt, -1, aclass);
if (tmplen == -1 || (tmplen > INT_MAX - seqcontlen))
return -1;
seqcontlen += tmplen;
}
seqlen = ASN1_object_size(ndef, seqcontlen, tag);
if (!out || seqlen == -1)
return seqlen;
/* Output SEQUENCE header */
ASN1_put_object(out, ndef, seqcontlen, tag, aclass);
for (i = 0, tt = it->templates; i < it->tcount; tt++, i++) {
const ASN1_TEMPLATE *seqtt;
const ASN1_VALUE **pseqval;
seqtt = ossl_asn1_do_adb(*pval, tt, 1);
if (!seqtt)
return 0;
pseqval = ossl_asn1_get_const_field_ptr(pval, seqtt);
/* FIXME: check for errors in enhanced version */
asn1_template_ex_i2d(pseqval, out, seqtt, -1, aclass);
}
if (ndef == 2)
ASN1_put_eoc(out);
if (asn1_cb && !asn1_cb(ASN1_OP_I2D_POST, pval, it, NULL))
return 0;
return seqlen;
default:
return 0;
}
return 0;
}
static int asn1_template_ex_i2d(const ASN1_VALUE **pval, unsigned char **out,
const ASN1_TEMPLATE *tt, int tag, int iclass)
{
const int flags = tt->flags;
int i, ret, ttag, tclass, ndef, len;
const ASN1_VALUE *tval;
/*
* If field is embedded then val needs fixing so it is a pointer to
* a pointer to a field.
*/
if (flags & ASN1_TFLG_EMBED) {
tval = (ASN1_VALUE *)pval;
pval = &tval;
}
/*
* Work out tag and class to use: tagging may come either from the
* template or the arguments, not both because this would create
* ambiguity. Additionally the iclass argument may contain some
* additional flags which should be noted and passed down to other
* levels.
*/
if (flags & ASN1_TFLG_TAG_MASK) {
/* Error if argument and template tagging */
if (tag != -1)
/* FIXME: error code here */
return -1;
/* Get tagging from template */
ttag = tt->tag;
tclass = flags & ASN1_TFLG_TAG_CLASS;
} else if (tag != -1) {
/* No template tagging, get from arguments */
ttag = tag;
tclass = iclass & ASN1_TFLG_TAG_CLASS;
} else {
ttag = -1;
tclass = 0;
}
/*
* Remove any class mask from iflag.
*/
iclass &= ~ASN1_TFLG_TAG_CLASS;
/*
* At this point 'ttag' contains the outer tag to use, 'tclass' is the
* class and iclass is any flags passed to this function.
*/
/* if template and arguments require ndef, use it */
if ((flags & ASN1_TFLG_NDEF) && (iclass & ASN1_TFLG_NDEF))
ndef = 2;
else
ndef = 1;
if (flags & ASN1_TFLG_SK_MASK) {
/* SET OF, SEQUENCE OF */
STACK_OF(const_ASN1_VALUE) *sk = (STACK_OF(const_ASN1_VALUE) *)*pval;
int isset, sktag, skaclass;
int skcontlen, sklen;
const ASN1_VALUE *skitem;
if (*pval == NULL)
return 0;
if (flags & ASN1_TFLG_SET_OF) {
isset = 1;
/* 2 means we reorder */
if (flags & ASN1_TFLG_SEQUENCE_OF)
isset = 2;
} else
isset = 0;
/*
* Work out inner tag value: if EXPLICIT or no tagging use underlying
* type.
*/
if ((ttag != -1) && !(flags & ASN1_TFLG_EXPTAG)) {
sktag = ttag;
skaclass = tclass;
} else {
skaclass = V_ASN1_UNIVERSAL;
if (isset)
sktag = V_ASN1_SET;
else
sktag = V_ASN1_SEQUENCE;
}
/* Determine total length of items */
skcontlen = 0;
for (i = 0; i < sk_const_ASN1_VALUE_num(sk); i++) {
skitem = sk_const_ASN1_VALUE_value(sk, i);
len = ASN1_item_ex_i2d(&skitem, NULL, ASN1_ITEM_ptr(tt->item),
-1, iclass);
if (len == -1 || (skcontlen > INT_MAX - len))
return -1;
if (len == 0 && (tt->flags & ASN1_TFLG_OPTIONAL) == 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ILLEGAL_ZERO_CONTENT);
return -1;
}
skcontlen += len;
}
sklen = ASN1_object_size(ndef, skcontlen, sktag);
if (sklen == -1)
return -1;
/* If EXPLICIT need length of surrounding tag */
if (flags & ASN1_TFLG_EXPTAG)
ret = ASN1_object_size(ndef, sklen, ttag);
else
ret = sklen;
if (!out || ret == -1)
return ret;
/* Now encode this lot... */
/* EXPLICIT tag */
if (flags & ASN1_TFLG_EXPTAG)
ASN1_put_object(out, ndef, sklen, ttag, tclass);
/* SET or SEQUENCE and IMPLICIT tag */
ASN1_put_object(out, ndef, skcontlen, sktag, skaclass);
/* And the stuff itself */
asn1_set_seq_out(sk, out, skcontlen, ASN1_ITEM_ptr(tt->item),
isset, iclass);
if (ndef == 2) {
ASN1_put_eoc(out);
if (flags & ASN1_TFLG_EXPTAG)
ASN1_put_eoc(out);
}
return ret;
}
if (flags & ASN1_TFLG_EXPTAG) {
/* EXPLICIT tagging */
/* Find length of tagged item */
i = ASN1_item_ex_i2d(pval, NULL, ASN1_ITEM_ptr(tt->item), -1, iclass);
if (i == 0) {
if ((tt->flags & ASN1_TFLG_OPTIONAL) == 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ILLEGAL_ZERO_CONTENT);
return -1;
}
return 0;
}
/* Find length of EXPLICIT tag */
ret = ASN1_object_size(ndef, i, ttag);
if (out && ret != -1) {
/* Output tag and item */
ASN1_put_object(out, ndef, i, ttag, tclass);
ASN1_item_ex_i2d(pval, out, ASN1_ITEM_ptr(tt->item), -1, iclass);
if (ndef == 2)
ASN1_put_eoc(out);
}
return ret;
}
/* Either normal or IMPLICIT tagging: combine class and flags */
len = ASN1_item_ex_i2d(pval, out, ASN1_ITEM_ptr(tt->item),
ttag, tclass | iclass);
if (len == 0 && (tt->flags & ASN1_TFLG_OPTIONAL) == 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ILLEGAL_ZERO_CONTENT);
return -1;
}
return len;
}
/* Temporary structure used to hold DER encoding of items for SET OF */
typedef struct {
unsigned char *data;
int length;
const ASN1_VALUE *field;
} DER_ENC;
static int der_cmp(const void *a, const void *b)
{
const DER_ENC *d1 = a, *d2 = b;
int cmplen, i;
cmplen = (d1->length < d2->length) ? d1->length : d2->length;
i = memcmp(d1->data, d2->data, cmplen);
if (i)
return i;
return d1->length - d2->length;
}
/* Output the content octets of SET OF or SEQUENCE OF */
static int asn1_set_seq_out(STACK_OF(const_ASN1_VALUE) *sk,
unsigned char **out,
int skcontlen, const ASN1_ITEM *item,
int do_sort, int iclass)
{
int i, ret = 0;
const ASN1_VALUE *skitem;
unsigned char *tmpdat = NULL, *p = NULL;
DER_ENC *derlst = NULL, *tder;
if (do_sort) {
/* Don't need to sort less than 2 items */
if (sk_const_ASN1_VALUE_num(sk) < 2)
do_sort = 0;
else {
derlst = OPENSSL_malloc(sk_const_ASN1_VALUE_num(sk)
* sizeof(*derlst));
if (derlst == NULL)
return 0;
tmpdat = OPENSSL_malloc(skcontlen);
if (tmpdat == NULL)
goto err;
}
}
/* If not sorting just output each item */
if (!do_sort) {
for (i = 0; i < sk_const_ASN1_VALUE_num(sk); i++) {
skitem = sk_const_ASN1_VALUE_value(sk, i);
ASN1_item_ex_i2d(&skitem, out, item, -1, iclass);
}
return 1;
}
p = tmpdat;
/* Doing sort: build up a list of each member's DER encoding */
for (i = 0, tder = derlst; i < sk_const_ASN1_VALUE_num(sk); i++, tder++) {
skitem = sk_const_ASN1_VALUE_value(sk, i);
tder->data = p;
tder->length = ASN1_item_ex_i2d(&skitem, &p, item, -1, iclass);
tder->field = skitem;
}
/* Now sort them */
qsort(derlst, sk_const_ASN1_VALUE_num(sk), sizeof(*derlst), der_cmp);
/* Output sorted DER encoding */
p = *out;
for (i = 0, tder = derlst; i < sk_const_ASN1_VALUE_num(sk); i++, tder++) {
memcpy(p, tder->data, tder->length);
p += tder->length;
}
*out = p;
/* If do_sort is 2 then reorder the STACK */
if (do_sort == 2) {
for (i = 0, tder = derlst; i < sk_const_ASN1_VALUE_num(sk); i++, tder++)
(void)sk_const_ASN1_VALUE_set(sk, i, tder->field);
}
ret = 1;
err:
OPENSSL_free(derlst);
OPENSSL_free(tmpdat);
return ret;
}
static int asn1_i2d_ex_primitive(const ASN1_VALUE **pval, unsigned char **out,
const ASN1_ITEM *it, int tag, int aclass)
{
int len;
int utype;
int usetag;
int ndef = 0;
utype = it->utype;
/*
* Get length of content octets and maybe find out the underlying type.
*/
len = asn1_ex_i2c(pval, NULL, &utype, it);
/*
* If SEQUENCE, SET or OTHER then header is included in pseudo content
* octets so don't include tag+length. We need to check here because the
* call to asn1_ex_i2c() could change utype.
*/
if ((utype == V_ASN1_SEQUENCE) || (utype == V_ASN1_SET) ||
(utype == V_ASN1_OTHER))
usetag = 0;
else
usetag = 1;
/* -1 means omit type */
if (len == -1)
return 0;
/* -2 return is special meaning use ndef */
if (len == -2) {
ndef = 2;
len = 0;
}
/* If not implicitly tagged get tag from underlying type */
if (tag == -1)
tag = utype;
/* Output tag+length followed by content octets */
if (out) {
if (usetag)
ASN1_put_object(out, ndef, len, tag, aclass);
asn1_ex_i2c(pval, *out, &utype, it);
if (ndef)
ASN1_put_eoc(out);
else
*out += len;
}
if (usetag)
return ASN1_object_size(ndef, len, tag);
return len;
}
/* Produce content octets from a structure */
static int asn1_ex_i2c(const ASN1_VALUE **pval, unsigned char *cout, int *putype,
const ASN1_ITEM *it)
{
ASN1_BOOLEAN *tbool = NULL;
ASN1_STRING *strtmp;
ASN1_OBJECT *otmp;
int utype;
const unsigned char *cont;
unsigned char c;
int len;
const ASN1_PRIMITIVE_FUNCS *pf;
pf = it->funcs;
if (pf && pf->prim_i2c)
return pf->prim_i2c(pval, cout, putype, it);
/* Should type be omitted? */
if ((it->itype != ASN1_ITYPE_PRIMITIVE)
|| (it->utype != V_ASN1_BOOLEAN)) {
if (*pval == NULL)
return -1;
}
if (it->itype == ASN1_ITYPE_MSTRING) {
/* If MSTRING type set the underlying type */
strtmp = (ASN1_STRING *)*pval;
utype = strtmp->type;
*putype = utype;
} else if (it->utype == V_ASN1_ANY) {
/* If ANY set type and pointer to value */
ASN1_TYPE *typ;
typ = (ASN1_TYPE *)*pval;
utype = typ->type;
*putype = utype;
pval = (const ASN1_VALUE **)&typ->value.asn1_value; /* actually is const */
} else
utype = *putype;
switch (utype) {
case V_ASN1_OBJECT:
otmp = (ASN1_OBJECT *)*pval;
cont = otmp->data;
len = otmp->length;
if (cont == NULL || len == 0)
return -1;
break;
case V_ASN1_NULL:
cont = NULL;
len = 0;
break;
case V_ASN1_BOOLEAN:
tbool = (ASN1_BOOLEAN *)pval;
if (*tbool == -1)
return -1;
if (it->utype != V_ASN1_ANY) {
/*
* Default handling if value == size field then omit
*/
if (*tbool && (it->size > 0))
return -1;
if (!*tbool && !it->size)
return -1;
}
c = (unsigned char)*tbool;
cont = &c;
len = 1;
break;
case V_ASN1_BIT_STRING:
return ossl_i2c_ASN1_BIT_STRING((ASN1_BIT_STRING *)*pval,
cout ? &cout : NULL);
case V_ASN1_INTEGER:
case V_ASN1_ENUMERATED:
/*
* These are all have the same content format as ASN1_INTEGER
*/
return ossl_i2c_ASN1_INTEGER((ASN1_INTEGER *)*pval, cout ? &cout : NULL);
case V_ASN1_OCTET_STRING:
case V_ASN1_NUMERICSTRING:
case V_ASN1_PRINTABLESTRING:
case V_ASN1_T61STRING:
case V_ASN1_VIDEOTEXSTRING:
case V_ASN1_IA5STRING:
case V_ASN1_UTCTIME:
case V_ASN1_GENERALIZEDTIME:
case V_ASN1_GRAPHICSTRING:
case V_ASN1_VISIBLESTRING:
case V_ASN1_GENERALSTRING:
case V_ASN1_UNIVERSALSTRING:
case V_ASN1_BMPSTRING:
case V_ASN1_UTF8STRING:
case V_ASN1_SEQUENCE:
case V_ASN1_SET:
default:
/* All based on ASN1_STRING and handled the same */
strtmp = (ASN1_STRING *)*pval;
/* Special handling for NDEF */
if ((it->size == ASN1_TFLG_NDEF)
&& (strtmp->flags & ASN1_STRING_FLAG_NDEF)) {
if (cout) {
strtmp->data = cout;
strtmp->length = 0;
}
/* Special return code */
return -2;
}
cont = strtmp->data;
len = strtmp->length;
break;
}
if (cout && len)
memcpy(cout, cont, len);
return len;
}
|
./openssl/crypto/asn1/tasn_dec.c | /*
* Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stddef.h>
#include <string.h>
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
#include <openssl/objects.h>
#include <openssl/buffer.h>
#include <openssl/err.h>
#include "internal/numbers.h"
#include "asn1_local.h"
/*
* Constructed types with a recursive definition (such as can be found in PKCS7)
* could eventually exceed the stack given malicious input with excessive
* recursion. Therefore we limit the stack depth. This is the maximum number of
* recursive invocations of asn1_item_embed_d2i().
*/
#define ASN1_MAX_CONSTRUCTED_NEST 30
static int asn1_item_embed_d2i(ASN1_VALUE **pval, const unsigned char **in,
long len, const ASN1_ITEM *it,
int tag, int aclass, char opt, ASN1_TLC *ctx,
int depth, OSSL_LIB_CTX *libctx,
const char *propq);
static int asn1_check_eoc(const unsigned char **in, long len);
static int asn1_find_end(const unsigned char **in, long len, char inf);
static int asn1_collect(BUF_MEM *buf, const unsigned char **in, long len,
char inf, int tag, int aclass, int depth);
static int collect_data(BUF_MEM *buf, const unsigned char **p, long plen);
static int asn1_check_tlen(long *olen, int *otag, unsigned char *oclass,
char *inf, char *cst,
const unsigned char **in, long len,
int exptag, int expclass, char opt, ASN1_TLC *ctx);
static int asn1_template_ex_d2i(ASN1_VALUE **pval,
const unsigned char **in, long len,
const ASN1_TEMPLATE *tt, char opt,
ASN1_TLC *ctx, int depth, OSSL_LIB_CTX *libctx,
const char *propq);
static int asn1_template_noexp_d2i(ASN1_VALUE **val,
const unsigned char **in, long len,
const ASN1_TEMPLATE *tt, char opt,
ASN1_TLC *ctx, int depth,
OSSL_LIB_CTX *libctx, const char *propq);
static int asn1_d2i_ex_primitive(ASN1_VALUE **pval,
const unsigned char **in, long len,
const ASN1_ITEM *it,
int tag, int aclass, char opt,
ASN1_TLC *ctx);
static int asn1_ex_c2i(ASN1_VALUE **pval, const unsigned char *cont, int len,
int utype, char *free_cont, const ASN1_ITEM *it);
/* Table to convert tags to bit values, used for MSTRING type */
static const unsigned long tag2bit[32] = {
/* tags 0 - 3 */
0, 0, 0, B_ASN1_BIT_STRING,
/* tags 4- 7 */
B_ASN1_OCTET_STRING, 0, 0, B_ASN1_UNKNOWN,
/* tags 8-11 */
B_ASN1_UNKNOWN, B_ASN1_UNKNOWN, 0, B_ASN1_UNKNOWN,
/* tags 12-15 */
B_ASN1_UTF8STRING, B_ASN1_UNKNOWN, B_ASN1_UNKNOWN, B_ASN1_UNKNOWN,
/* tags 16-19 */
B_ASN1_SEQUENCE, 0, B_ASN1_NUMERICSTRING, B_ASN1_PRINTABLESTRING,
/* tags 20-22 */
B_ASN1_T61STRING, B_ASN1_VIDEOTEXSTRING, B_ASN1_IA5STRING,
/* tags 23-24 */
B_ASN1_UTCTIME, B_ASN1_GENERALIZEDTIME,
/* tags 25-27 */
B_ASN1_GRAPHICSTRING, B_ASN1_ISO64STRING, B_ASN1_GENERALSTRING,
/* tags 28-31 */
B_ASN1_UNIVERSALSTRING, B_ASN1_UNKNOWN, B_ASN1_BMPSTRING, B_ASN1_UNKNOWN,
};
unsigned long ASN1_tag2bit(int tag)
{
if ((tag < 0) || (tag > 30))
return 0;
return tag2bit[tag];
}
/* Macro to initialize and invalidate the cache */
#define asn1_tlc_clear(c) do { if ((c) != NULL) (c)->valid = 0; } while (0)
/* Version to avoid compiler warning about 'c' always non-NULL */
#define asn1_tlc_clear_nc(c) do {(c)->valid = 0; } while (0)
/*
* Decode an ASN1 item, this currently behaves just like a standard 'd2i'
* function. 'in' points to a buffer to read the data from, in future we
* will have more advanced versions that can input data a piece at a time and
* this will simply be a special case.
*/
static int asn1_item_ex_d2i_intern(ASN1_VALUE **pval, const unsigned char **in,
long len, const ASN1_ITEM *it, int tag,
int aclass, char opt, ASN1_TLC *ctx,
OSSL_LIB_CTX *libctx, const char *propq)
{
int rv;
if (pval == NULL || it == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
rv = asn1_item_embed_d2i(pval, in, len, it, tag, aclass, opt, ctx, 0,
libctx, propq);
if (rv <= 0)
ASN1_item_ex_free(pval, it);
return rv;
}
int ASN1_item_ex_d2i(ASN1_VALUE **pval, const unsigned char **in, long len,
const ASN1_ITEM *it,
int tag, int aclass, char opt, ASN1_TLC *ctx)
{
return asn1_item_ex_d2i_intern(pval, in, len, it, tag, aclass, opt, ctx,
NULL, NULL);
}
ASN1_VALUE *ASN1_item_d2i_ex(ASN1_VALUE **pval,
const unsigned char **in, long len,
const ASN1_ITEM *it, OSSL_LIB_CTX *libctx,
const char *propq)
{
ASN1_TLC c;
ASN1_VALUE *ptmpval = NULL;
if (pval == NULL)
pval = &ptmpval;
asn1_tlc_clear_nc(&c);
if (asn1_item_ex_d2i_intern(pval, in, len, it, -1, 0, 0, &c, libctx,
propq) > 0)
return *pval;
return NULL;
}
ASN1_VALUE *ASN1_item_d2i(ASN1_VALUE **pval,
const unsigned char **in, long len,
const ASN1_ITEM *it)
{
return ASN1_item_d2i_ex(pval, in, len, it, NULL, NULL);
}
/*
* Decode an item, taking care of IMPLICIT tagging, if any. If 'opt' set and
* tag mismatch return -1 to handle OPTIONAL
*/
static int asn1_item_embed_d2i(ASN1_VALUE **pval, const unsigned char **in,
long len, const ASN1_ITEM *it,
int tag, int aclass, char opt, ASN1_TLC *ctx,
int depth, OSSL_LIB_CTX *libctx,
const char *propq)
{
const ASN1_TEMPLATE *tt, *errtt = NULL;
const ASN1_EXTERN_FUNCS *ef;
const ASN1_AUX *aux;
ASN1_aux_cb *asn1_cb;
const unsigned char *p = NULL, *q;
unsigned char oclass;
char seq_eoc, seq_nolen, cst, isopt;
long tmplen;
int i;
int otag;
int ret = 0;
ASN1_VALUE **pchptr;
if (pval == NULL || it == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if (len <= 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_TOO_SMALL);
return 0;
}
aux = it->funcs;
if (aux && aux->asn1_cb)
asn1_cb = aux->asn1_cb;
else
asn1_cb = 0;
if (++depth > ASN1_MAX_CONSTRUCTED_NEST) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_NESTED_TOO_DEEP);
goto err;
}
switch (it->itype) {
case ASN1_ITYPE_PRIMITIVE:
if (it->templates) {
/*
* tagging or OPTIONAL is currently illegal on an item template
* because the flags can't get passed down. In practice this
* isn't a problem: we include the relevant flags from the item
* template in the template itself.
*/
if ((tag != -1) || opt) {
ERR_raise(ERR_LIB_ASN1,
ASN1_R_ILLEGAL_OPTIONS_ON_ITEM_TEMPLATE);
goto err;
}
return asn1_template_ex_d2i(pval, in, len, it->templates, opt, ctx,
depth, libctx, propq);
}
return asn1_d2i_ex_primitive(pval, in, len, it,
tag, aclass, opt, ctx);
case ASN1_ITYPE_MSTRING:
/*
* It never makes sense for multi-strings to have implicit tagging, so
* if tag != -1, then this looks like an error in the template.
*/
if (tag != -1) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_BAD_TEMPLATE);
goto err;
}
p = *in;
/* Just read in tag and class */
ret = asn1_check_tlen(NULL, &otag, &oclass, NULL, NULL,
&p, len, -1, 0, 1, ctx);
if (!ret) {
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
goto err;
}
/* Must be UNIVERSAL class */
if (oclass != V_ASN1_UNIVERSAL) {
/* If OPTIONAL, assume this is OK */
if (opt)
return -1;
ERR_raise(ERR_LIB_ASN1, ASN1_R_MSTRING_NOT_UNIVERSAL);
goto err;
}
/* Check tag matches bit map */
if (!(ASN1_tag2bit(otag) & it->utype)) {
/* If OPTIONAL, assume this is OK */
if (opt)
return -1;
ERR_raise(ERR_LIB_ASN1, ASN1_R_MSTRING_WRONG_TAG);
goto err;
}
return asn1_d2i_ex_primitive(pval, in, len, it, otag, 0, 0, ctx);
case ASN1_ITYPE_EXTERN:
/* Use new style d2i */
ef = it->funcs;
if (ef->asn1_ex_d2i_ex != NULL)
return ef->asn1_ex_d2i_ex(pval, in, len, it, tag, aclass, opt, ctx,
libctx, propq);
return ef->asn1_ex_d2i(pval, in, len, it, tag, aclass, opt, ctx);
case ASN1_ITYPE_CHOICE:
/*
* It never makes sense for CHOICE types to have implicit tagging, so
* if tag != -1, then this looks like an error in the template.
*/
if (tag != -1) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_BAD_TEMPLATE);
goto err;
}
if (asn1_cb && !asn1_cb(ASN1_OP_D2I_PRE, pval, it, NULL))
goto auxerr;
if (*pval) {
/* Free up and zero CHOICE value if initialised */
i = ossl_asn1_get_choice_selector(pval, it);
if ((i >= 0) && (i < it->tcount)) {
tt = it->templates + i;
pchptr = ossl_asn1_get_field_ptr(pval, tt);
ossl_asn1_template_free(pchptr, tt);
ossl_asn1_set_choice_selector(pval, -1, it);
}
} else if (!ossl_asn1_item_ex_new_intern(pval, it, libctx, propq)) {
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
goto err;
}
/* CHOICE type, try each possibility in turn */
p = *in;
for (i = 0, tt = it->templates; i < it->tcount; i++, tt++) {
pchptr = ossl_asn1_get_field_ptr(pval, tt);
/*
* We mark field as OPTIONAL so its absence can be recognised.
*/
ret = asn1_template_ex_d2i(pchptr, &p, len, tt, 1, ctx, depth,
libctx, propq);
/* If field not present, try the next one */
if (ret == -1)
continue;
/* If positive return, read OK, break loop */
if (ret > 0)
break;
/*
* Must be an ASN1 parsing error.
* Free up any partial choice value
*/
ossl_asn1_template_free(pchptr, tt);
errtt = tt;
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
goto err;
}
/* Did we fall off the end without reading anything? */
if (i == it->tcount) {
/* If OPTIONAL, this is OK */
if (opt) {
/* Free and zero it */
ASN1_item_ex_free(pval, it);
return -1;
}
ERR_raise(ERR_LIB_ASN1, ASN1_R_NO_MATCHING_CHOICE_TYPE);
goto err;
}
ossl_asn1_set_choice_selector(pval, i, it);
if (asn1_cb && !asn1_cb(ASN1_OP_D2I_POST, pval, it, NULL))
goto auxerr;
*in = p;
return 1;
case ASN1_ITYPE_NDEF_SEQUENCE:
case ASN1_ITYPE_SEQUENCE:
p = *in;
tmplen = len;
/* If no IMPLICIT tagging set to SEQUENCE, UNIVERSAL */
if (tag == -1) {
tag = V_ASN1_SEQUENCE;
aclass = V_ASN1_UNIVERSAL;
}
/* Get SEQUENCE length and update len, p */
ret = asn1_check_tlen(&len, NULL, NULL, &seq_eoc, &cst,
&p, len, tag, aclass, opt, ctx);
if (!ret) {
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
goto err;
} else if (ret == -1)
return -1;
if (aux && (aux->flags & ASN1_AFLG_BROKEN)) {
len = tmplen - (p - *in);
seq_nolen = 1;
}
/* If indefinite we don't do a length check */
else
seq_nolen = seq_eoc;
if (!cst) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_SEQUENCE_NOT_CONSTRUCTED);
goto err;
}
if (*pval == NULL
&& !ossl_asn1_item_ex_new_intern(pval, it, libctx, propq)) {
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
goto err;
}
if (asn1_cb && !asn1_cb(ASN1_OP_D2I_PRE, pval, it, NULL))
goto auxerr;
/* Free up and zero any ADB found */
for (i = 0, tt = it->templates; i < it->tcount; i++, tt++) {
if (tt->flags & ASN1_TFLG_ADB_MASK) {
const ASN1_TEMPLATE *seqtt;
ASN1_VALUE **pseqval;
seqtt = ossl_asn1_do_adb(*pval, tt, 0);
if (seqtt == NULL)
continue;
pseqval = ossl_asn1_get_field_ptr(pval, seqtt);
ossl_asn1_template_free(pseqval, seqtt);
}
}
/* Get each field entry */
for (i = 0, tt = it->templates; i < it->tcount; i++, tt++) {
const ASN1_TEMPLATE *seqtt;
ASN1_VALUE **pseqval;
seqtt = ossl_asn1_do_adb(*pval, tt, 1);
if (seqtt == NULL)
goto err;
pseqval = ossl_asn1_get_field_ptr(pval, seqtt);
/* Have we ran out of data? */
if (!len)
break;
q = p;
if (asn1_check_eoc(&p, len)) {
if (!seq_eoc) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_UNEXPECTED_EOC);
goto err;
}
len -= p - q;
seq_eoc = 0;
break;
}
/*
* This determines the OPTIONAL flag value. The field cannot be
* omitted if it is the last of a SEQUENCE and there is still
* data to be read. This isn't strictly necessary but it
* increases efficiency in some cases.
*/
if (i == (it->tcount - 1))
isopt = 0;
else
isopt = (char)(seqtt->flags & ASN1_TFLG_OPTIONAL);
/*
* attempt to read in field, allowing each to be OPTIONAL
*/
ret = asn1_template_ex_d2i(pseqval, &p, len, seqtt, isopt, ctx,
depth, libctx, propq);
if (!ret) {
errtt = seqtt;
goto err;
} else if (ret == -1) {
/*
* OPTIONAL component absent. Free and zero the field.
*/
ossl_asn1_template_free(pseqval, seqtt);
continue;
}
/* Update length */
len -= p - q;
}
/* Check for EOC if expecting one */
if (seq_eoc && !asn1_check_eoc(&p, len)) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_MISSING_EOC);
goto err;
}
/* Check all data read */
if (!seq_nolen && len) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_SEQUENCE_LENGTH_MISMATCH);
goto err;
}
/*
* If we get here we've got no more data in the SEQUENCE, however we
* may not have read all fields so check all remaining are OPTIONAL
* and clear any that are.
*/
for (; i < it->tcount; tt++, i++) {
const ASN1_TEMPLATE *seqtt;
seqtt = ossl_asn1_do_adb(*pval, tt, 1);
if (seqtt == NULL)
goto err;
if (seqtt->flags & ASN1_TFLG_OPTIONAL) {
ASN1_VALUE **pseqval;
pseqval = ossl_asn1_get_field_ptr(pval, seqtt);
ossl_asn1_template_free(pseqval, seqtt);
} else {
errtt = seqtt;
ERR_raise(ERR_LIB_ASN1, ASN1_R_FIELD_MISSING);
goto err;
}
}
/* Save encoding */
if (!ossl_asn1_enc_save(pval, *in, p - *in, it))
goto auxerr;
if (asn1_cb && !asn1_cb(ASN1_OP_D2I_POST, pval, it, NULL))
goto auxerr;
*in = p;
return 1;
default:
return 0;
}
auxerr:
ERR_raise(ERR_LIB_ASN1, ASN1_R_AUX_ERROR);
err:
if (errtt)
ERR_add_error_data(4, "Field=", errtt->field_name,
", Type=", it->sname);
else
ERR_add_error_data(2, "Type=", it->sname);
return 0;
}
/*
* Templates are handled with two separate functions. One handles any
* EXPLICIT tag and the other handles the rest.
*/
static int asn1_template_ex_d2i(ASN1_VALUE **val,
const unsigned char **in, long inlen,
const ASN1_TEMPLATE *tt, char opt,
ASN1_TLC *ctx, int depth,
OSSL_LIB_CTX *libctx, const char *propq)
{
int flags, aclass;
int ret;
long len;
const unsigned char *p, *q;
char exp_eoc;
if (!val)
return 0;
flags = tt->flags;
aclass = flags & ASN1_TFLG_TAG_CLASS;
p = *in;
/* Check if EXPLICIT tag expected */
if (flags & ASN1_TFLG_EXPTAG) {
char cst;
/*
* Need to work out amount of data available to the inner content and
* where it starts: so read in EXPLICIT header to get the info.
*/
ret = asn1_check_tlen(&len, NULL, NULL, &exp_eoc, &cst,
&p, inlen, tt->tag, aclass, opt, ctx);
q = p;
if (!ret) {
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
return 0;
} else if (ret == -1)
return -1;
if (!cst) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_EXPLICIT_TAG_NOT_CONSTRUCTED);
return 0;
}
/* We've found the field so it can't be OPTIONAL now */
ret = asn1_template_noexp_d2i(val, &p, len, tt, 0, ctx, depth, libctx,
propq);
if (!ret) {
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
return 0;
}
/* We read the field in OK so update length */
len -= p - q;
if (exp_eoc) {
/* If NDEF we must have an EOC here */
if (!asn1_check_eoc(&p, len)) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_MISSING_EOC);
goto err;
}
} else {
/*
* Otherwise we must hit the EXPLICIT tag end or its an error
*/
if (len) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_EXPLICIT_LENGTH_MISMATCH);
goto err;
}
}
} else
return asn1_template_noexp_d2i(val, in, inlen, tt, opt, ctx, depth,
libctx, propq);
*in = p;
return 1;
err:
return 0;
}
static int asn1_template_noexp_d2i(ASN1_VALUE **val,
const unsigned char **in, long len,
const ASN1_TEMPLATE *tt, char opt,
ASN1_TLC *ctx, int depth,
OSSL_LIB_CTX *libctx, const char *propq)
{
int flags, aclass;
int ret;
ASN1_VALUE *tval;
const unsigned char *p, *q;
if (!val)
return 0;
flags = tt->flags;
aclass = flags & ASN1_TFLG_TAG_CLASS;
p = *in;
/*
* If field is embedded then val needs fixing so it is a pointer to
* a pointer to a field.
*/
if (tt->flags & ASN1_TFLG_EMBED) {
tval = (ASN1_VALUE *)val;
val = &tval;
}
if (flags & ASN1_TFLG_SK_MASK) {
/* SET OF, SEQUENCE OF */
int sktag, skaclass;
char sk_eoc;
/* First work out expected inner tag value */
if (flags & ASN1_TFLG_IMPTAG) {
sktag = tt->tag;
skaclass = aclass;
} else {
skaclass = V_ASN1_UNIVERSAL;
if (flags & ASN1_TFLG_SET_OF)
sktag = V_ASN1_SET;
else
sktag = V_ASN1_SEQUENCE;
}
/* Get the tag */
ret = asn1_check_tlen(&len, NULL, NULL, &sk_eoc, NULL,
&p, len, sktag, skaclass, opt, ctx);
if (!ret) {
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
return 0;
} else if (ret == -1)
return -1;
if (*val == NULL)
*val = (ASN1_VALUE *)sk_ASN1_VALUE_new_null();
else {
/*
* We've got a valid STACK: free up any items present
*/
STACK_OF(ASN1_VALUE) *sktmp = (STACK_OF(ASN1_VALUE) *)*val;
ASN1_VALUE *vtmp;
while (sk_ASN1_VALUE_num(sktmp) > 0) {
vtmp = sk_ASN1_VALUE_pop(sktmp);
ASN1_item_ex_free(&vtmp, ASN1_ITEM_ptr(tt->item));
}
}
if (*val == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_CRYPTO_LIB);
goto err;
}
/* Read as many items as we can */
while (len > 0) {
ASN1_VALUE *skfield;
q = p;
/* See if EOC found */
if (asn1_check_eoc(&p, len)) {
if (!sk_eoc) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_UNEXPECTED_EOC);
goto err;
}
len -= p - q;
sk_eoc = 0;
break;
}
skfield = NULL;
if (asn1_item_embed_d2i(&skfield, &p, len,
ASN1_ITEM_ptr(tt->item), -1, 0, 0, ctx,
depth, libctx, propq) <= 0) {
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
/* |skfield| may be partially allocated despite failure. */
ASN1_item_free(skfield, ASN1_ITEM_ptr(tt->item));
goto err;
}
len -= p - q;
if (!sk_ASN1_VALUE_push((STACK_OF(ASN1_VALUE) *)*val, skfield)) {
ERR_raise(ERR_LIB_ASN1, ERR_R_CRYPTO_LIB);
ASN1_item_free(skfield, ASN1_ITEM_ptr(tt->item));
goto err;
}
}
if (sk_eoc) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_MISSING_EOC);
goto err;
}
} else if (flags & ASN1_TFLG_IMPTAG) {
/* IMPLICIT tagging */
ret = asn1_item_embed_d2i(val, &p, len,
ASN1_ITEM_ptr(tt->item), tt->tag, aclass, opt,
ctx, depth, libctx, propq);
if (!ret) {
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
goto err;
} else if (ret == -1)
return -1;
} else {
/* Nothing special */
ret = asn1_item_embed_d2i(val, &p, len, ASN1_ITEM_ptr(tt->item),
-1, 0, opt, ctx, depth, libctx, propq);
if (!ret) {
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
goto err;
} else if (ret == -1)
return -1;
}
*in = p;
return 1;
err:
return 0;
}
static int asn1_d2i_ex_primitive(ASN1_VALUE **pval,
const unsigned char **in, long inlen,
const ASN1_ITEM *it,
int tag, int aclass, char opt, ASN1_TLC *ctx)
{
int ret = 0, utype;
long plen;
char cst, inf, free_cont = 0;
const unsigned char *p;
BUF_MEM buf = { 0, NULL, 0, 0 };
const unsigned char *cont = NULL;
long len;
if (pval == NULL) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ILLEGAL_NULL);
return 0; /* Should never happen */
}
if (it->itype == ASN1_ITYPE_MSTRING) {
utype = tag;
tag = -1;
} else
utype = it->utype;
if (utype == V_ASN1_ANY) {
/* If type is ANY need to figure out type from tag */
unsigned char oclass;
if (tag >= 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ILLEGAL_TAGGED_ANY);
return 0;
}
if (opt) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ILLEGAL_OPTIONAL_ANY);
return 0;
}
p = *in;
ret = asn1_check_tlen(NULL, &utype, &oclass, NULL, NULL,
&p, inlen, -1, 0, 0, ctx);
if (!ret) {
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
return 0;
}
if (oclass != V_ASN1_UNIVERSAL)
utype = V_ASN1_OTHER;
}
if (tag == -1) {
tag = utype;
aclass = V_ASN1_UNIVERSAL;
}
p = *in;
/* Check header */
ret = asn1_check_tlen(&plen, NULL, NULL, &inf, &cst,
&p, inlen, tag, aclass, opt, ctx);
if (!ret) {
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
return 0;
} else if (ret == -1)
return -1;
ret = 0;
/* SEQUENCE, SET and "OTHER" are left in encoded form */
if ((utype == V_ASN1_SEQUENCE)
|| (utype == V_ASN1_SET) || (utype == V_ASN1_OTHER)) {
/*
* Clear context cache for type OTHER because the auto clear when we
* have a exact match won't work
*/
if (utype == V_ASN1_OTHER) {
asn1_tlc_clear(ctx);
}
/* SEQUENCE and SET must be constructed */
else if (!cst) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_TYPE_NOT_CONSTRUCTED);
return 0;
}
cont = *in;
/* If indefinite length constructed find the real end */
if (inf) {
if (!asn1_find_end(&p, plen, inf))
goto err;
len = p - cont;
} else {
len = p - cont + plen;
p += plen;
}
} else if (cst) {
if (utype == V_ASN1_NULL || utype == V_ASN1_BOOLEAN
|| utype == V_ASN1_OBJECT || utype == V_ASN1_INTEGER
|| utype == V_ASN1_ENUMERATED) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_TYPE_NOT_PRIMITIVE);
return 0;
}
/* Free any returned 'buf' content */
free_cont = 1;
/*
* Should really check the internal tags are correct but some things
* may get this wrong. The relevant specs say that constructed string
* types should be OCTET STRINGs internally irrespective of the type.
* So instead just check for UNIVERSAL class and ignore the tag.
*/
if (!asn1_collect(&buf, &p, plen, inf, -1, V_ASN1_UNIVERSAL, 0)) {
goto err;
}
len = buf.length;
/* Append a final null to string */
if (!BUF_MEM_grow_clean(&buf, len + 1)) {
ERR_raise(ERR_LIB_ASN1, ERR_R_BUF_LIB);
goto err;
}
buf.data[len] = 0;
cont = (const unsigned char *)buf.data;
} else {
cont = p;
len = plen;
p += plen;
}
/* We now have content length and type: translate into a structure */
/* asn1_ex_c2i may reuse allocated buffer, and so sets free_cont to 0 */
if (!asn1_ex_c2i(pval, cont, len, utype, &free_cont, it))
goto err;
*in = p;
ret = 1;
err:
if (free_cont)
OPENSSL_free(buf.data);
return ret;
}
/* Translate ASN1 content octets into a structure */
static int asn1_ex_c2i(ASN1_VALUE **pval, const unsigned char *cont, int len,
int utype, char *free_cont, const ASN1_ITEM *it)
{
ASN1_VALUE **opval = NULL;
ASN1_STRING *stmp;
ASN1_TYPE *typ = NULL;
int ret = 0;
const ASN1_PRIMITIVE_FUNCS *pf;
ASN1_INTEGER **tint;
pf = it->funcs;
if (pf && pf->prim_c2i)
return pf->prim_c2i(pval, cont, len, utype, free_cont, it);
/* If ANY type clear type and set pointer to internal value */
if (it->utype == V_ASN1_ANY) {
if (*pval == NULL) {
typ = ASN1_TYPE_new();
if (typ == NULL)
goto err;
*pval = (ASN1_VALUE *)typ;
} else
typ = (ASN1_TYPE *)*pval;
if (utype != typ->type)
ASN1_TYPE_set(typ, utype, NULL);
opval = pval;
pval = &typ->value.asn1_value;
}
switch (utype) {
case V_ASN1_OBJECT:
if (!ossl_c2i_ASN1_OBJECT((ASN1_OBJECT **)pval, &cont, len))
goto err;
break;
case V_ASN1_NULL:
if (len) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_NULL_IS_WRONG_LENGTH);
goto err;
}
*pval = (ASN1_VALUE *)1;
break;
case V_ASN1_BOOLEAN:
if (len != 1) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_BOOLEAN_IS_WRONG_LENGTH);
goto err;
} else {
ASN1_BOOLEAN *tbool;
tbool = (ASN1_BOOLEAN *)pval;
*tbool = *cont;
}
break;
case V_ASN1_BIT_STRING:
if (!ossl_c2i_ASN1_BIT_STRING((ASN1_BIT_STRING **)pval, &cont, len))
goto err;
break;
case V_ASN1_INTEGER:
case V_ASN1_ENUMERATED:
tint = (ASN1_INTEGER **)pval;
if (!ossl_c2i_ASN1_INTEGER(tint, &cont, len))
goto err;
/* Fixup type to match the expected form */
(*tint)->type = utype | ((*tint)->type & V_ASN1_NEG);
break;
case V_ASN1_OCTET_STRING:
case V_ASN1_NUMERICSTRING:
case V_ASN1_PRINTABLESTRING:
case V_ASN1_T61STRING:
case V_ASN1_VIDEOTEXSTRING:
case V_ASN1_IA5STRING:
case V_ASN1_UTCTIME:
case V_ASN1_GENERALIZEDTIME:
case V_ASN1_GRAPHICSTRING:
case V_ASN1_VISIBLESTRING:
case V_ASN1_GENERALSTRING:
case V_ASN1_UNIVERSALSTRING:
case V_ASN1_BMPSTRING:
case V_ASN1_UTF8STRING:
case V_ASN1_OTHER:
case V_ASN1_SET:
case V_ASN1_SEQUENCE:
default:
if (utype == V_ASN1_BMPSTRING && (len & 1)) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_BMPSTRING_IS_WRONG_LENGTH);
goto err;
}
if (utype == V_ASN1_UNIVERSALSTRING && (len & 3)) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_UNIVERSALSTRING_IS_WRONG_LENGTH);
goto err;
}
/* All based on ASN1_STRING and handled the same */
if (*pval == NULL) {
stmp = ASN1_STRING_type_new(utype);
if (stmp == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
*pval = (ASN1_VALUE *)stmp;
} else {
stmp = (ASN1_STRING *)*pval;
stmp->type = utype;
}
/* If we've already allocated a buffer use it */
if (*free_cont) {
ASN1_STRING_set0(stmp, (unsigned char *)cont /* UGLY CAST! */, len);
*free_cont = 0;
} else {
if (!ASN1_STRING_set(stmp, cont, len)) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
ASN1_STRING_free(stmp);
*pval = NULL;
goto err;
}
}
break;
}
/* If ASN1_ANY and NULL type fix up value */
if (typ && (utype == V_ASN1_NULL))
typ->value.ptr = NULL;
ret = 1;
err:
if (!ret) {
ASN1_TYPE_free(typ);
if (opval)
*opval = NULL;
}
return ret;
}
/*
* This function finds the end of an ASN1 structure when passed its maximum
* length, whether it is indefinite length and a pointer to the content. This
* is more efficient than calling asn1_collect because it does not recurse on
* each indefinite length header.
*/
static int asn1_find_end(const unsigned char **in, long len, char inf)
{
uint32_t expected_eoc;
long plen;
const unsigned char *p = *in, *q;
/* If not indefinite length constructed just add length */
if (inf == 0) {
*in += len;
return 1;
}
expected_eoc = 1;
/*
* Indefinite length constructed form. Find the end when enough EOCs are
* found. If more indefinite length constructed headers are encountered
* increment the expected eoc count otherwise just skip to the end of the
* data.
*/
while (len > 0) {
if (asn1_check_eoc(&p, len)) {
expected_eoc--;
if (expected_eoc == 0)
break;
len -= 2;
continue;
}
q = p;
/* Just read in a header: only care about the length */
if (!asn1_check_tlen(&plen, NULL, NULL, &inf, NULL, &p, len,
-1, 0, 0, NULL)) {
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
return 0;
}
if (inf) {
if (expected_eoc == UINT32_MAX) {
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
return 0;
}
expected_eoc++;
} else {
p += plen;
}
len -= p - q;
}
if (expected_eoc) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_MISSING_EOC);
return 0;
}
*in = p;
return 1;
}
/*
* This function collects the asn1 data from a constructed string type into
* a buffer. The values of 'in' and 'len' should refer to the contents of the
* constructed type and 'inf' should be set if it is indefinite length.
*/
#ifndef ASN1_MAX_STRING_NEST
/*
* This determines how many levels of recursion are permitted in ASN1 string
* types. If it is not limited stack overflows can occur. If set to zero no
* recursion is allowed at all. Although zero should be adequate examples
* exist that require a value of 1. So 5 should be more than enough.
*/
# define ASN1_MAX_STRING_NEST 5
#endif
static int asn1_collect(BUF_MEM *buf, const unsigned char **in, long len,
char inf, int tag, int aclass, int depth)
{
const unsigned char *p, *q;
long plen;
char cst, ininf;
p = *in;
inf &= 1;
/*
* If no buffer and not indefinite length constructed just pass over the
* encoded data
*/
if (!buf && !inf) {
*in += len;
return 1;
}
while (len > 0) {
q = p;
/* Check for EOC */
if (asn1_check_eoc(&p, len)) {
/*
* EOC is illegal outside indefinite length constructed form
*/
if (!inf) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_UNEXPECTED_EOC);
return 0;
}
inf = 0;
break;
}
if (!asn1_check_tlen(&plen, NULL, NULL, &ininf, &cst, &p,
len, tag, aclass, 0, NULL)) {
ERR_raise(ERR_LIB_ASN1, ERR_R_NESTED_ASN1_ERROR);
return 0;
}
/* If indefinite length constructed update max length */
if (cst) {
if (depth >= ASN1_MAX_STRING_NEST) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_NESTED_ASN1_STRING);
return 0;
}
if (!asn1_collect(buf, &p, plen, ininf, tag, aclass, depth + 1))
return 0;
} else if (plen && !collect_data(buf, &p, plen))
return 0;
len -= p - q;
}
if (inf) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_MISSING_EOC);
return 0;
}
*in = p;
return 1;
}
static int collect_data(BUF_MEM *buf, const unsigned char **p, long plen)
{
int len;
if (buf) {
len = buf->length;
if (!BUF_MEM_grow_clean(buf, len + plen)) {
ERR_raise(ERR_LIB_ASN1, ERR_R_BUF_LIB);
return 0;
}
memcpy(buf->data + len, *p, plen);
}
*p += plen;
return 1;
}
/* Check for ASN1 EOC and swallow it if found */
static int asn1_check_eoc(const unsigned char **in, long len)
{
const unsigned char *p;
if (len < 2)
return 0;
p = *in;
if (p[0] == '\0' && p[1] == '\0') {
*in += 2;
return 1;
}
return 0;
}
/*
* Check an ASN1 tag and length: a bit like ASN1_get_object but it sets the
* length for indefinite length constructed form, we don't know the exact
* length but we can set an upper bound to the amount of data available minus
* the header length just read.
*/
static int asn1_check_tlen(long *olen, int *otag, unsigned char *oclass,
char *inf, char *cst,
const unsigned char **in, long len,
int exptag, int expclass, char opt, ASN1_TLC *ctx)
{
int i;
int ptag, pclass;
long plen;
const unsigned char *p, *q;
p = *in;
q = p;
if (len <= 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_TOO_SMALL);
goto err;
}
if (ctx != NULL && ctx->valid) {
i = ctx->ret;
plen = ctx->plen;
pclass = ctx->pclass;
ptag = ctx->ptag;
p += ctx->hdrlen;
} else {
i = ASN1_get_object(&p, &plen, &ptag, &pclass, len);
if (ctx != NULL) {
ctx->ret = i;
ctx->plen = plen;
ctx->pclass = pclass;
ctx->ptag = ptag;
ctx->hdrlen = p - q;
ctx->valid = 1;
/*
* If definite length, and no error, length + header can't exceed
* total amount of data available.
*/
if ((i & 0x81) == 0 && (plen + ctx->hdrlen) > len) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_TOO_LONG);
goto err;
}
}
}
if ((i & 0x80) != 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_BAD_OBJECT_HEADER);
goto err;
}
if (exptag >= 0) {
if (exptag != ptag || expclass != pclass) {
/*
* If type is OPTIONAL, not an error: indicate missing type.
*/
if (opt != 0)
return -1;
ERR_raise(ERR_LIB_ASN1, ASN1_R_WRONG_TAG);
goto err;
}
/*
* We have a tag and class match: assume we are going to do something
* with it
*/
asn1_tlc_clear(ctx);
}
if ((i & 1) != 0)
plen = len - (p - q);
if (inf != NULL)
*inf = i & 1;
if (cst != NULL)
*cst = i & V_ASN1_CONSTRUCTED;
if (olen != NULL)
*olen = plen;
if (oclass != NULL)
*oclass = pclass;
if (otag != NULL)
*otag = ptag;
*in = p;
return 1;
err:
asn1_tlc_clear(ctx);
return 0;
}
|
./openssl/crypto/asn1/a_strnid.c | /*
* Copyright 1999-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/asn1.h>
#include <openssl/objects.h>
static STACK_OF(ASN1_STRING_TABLE) *stable = NULL;
static void st_free(ASN1_STRING_TABLE *tbl);
static int sk_table_cmp(const ASN1_STRING_TABLE *const *a,
const ASN1_STRING_TABLE *const *b);
/*
* This is the global mask for the mbstring functions: this is use to mask
* out certain types (such as BMPString and UTF8String) because certain
* software (e.g. Netscape) has problems with them.
*/
static unsigned long global_mask = B_ASN1_UTF8STRING;
void ASN1_STRING_set_default_mask(unsigned long mask)
{
global_mask = mask;
}
unsigned long ASN1_STRING_get_default_mask(void)
{
return global_mask;
}
/*-
* This function sets the default to various "flavours" of configuration.
* based on an ASCII string. Currently this is:
* MASK:XXXX : a numerical mask value.
* nobmp : Don't use BMPStrings (just Printable, T61).
* pkix : PKIX recommendation in RFC2459.
* utf8only : only use UTF8Strings (RFC2459 recommendation for 2004).
* default: the default value, Printable, T61, BMP.
*/
int ASN1_STRING_set_default_mask_asc(const char *p)
{
unsigned long mask;
char *end;
if (CHECK_AND_SKIP_PREFIX(p, "MASK:")) {
if (*p == '\0')
return 0;
mask = strtoul(p, &end, 0);
if (*end)
return 0;
} else if (strcmp(p, "nombstr") == 0)
mask = ~((unsigned long)(B_ASN1_BMPSTRING | B_ASN1_UTF8STRING));
else if (strcmp(p, "pkix") == 0)
mask = ~((unsigned long)B_ASN1_T61STRING);
else if (strcmp(p, "utf8only") == 0)
mask = B_ASN1_UTF8STRING;
else if (strcmp(p, "default") == 0)
mask = 0xFFFFFFFFL;
else
return 0;
ASN1_STRING_set_default_mask(mask);
return 1;
}
/*
* The following function generates an ASN1_STRING based on limits in a
* table. Frequently the types and length of an ASN1_STRING are restricted by
* a corresponding OID. For example certificates and certificate requests.
*/
ASN1_STRING *ASN1_STRING_set_by_NID(ASN1_STRING **out,
const unsigned char *in, int inlen,
int inform, int nid)
{
ASN1_STRING_TABLE *tbl;
ASN1_STRING *str = NULL;
unsigned long mask;
int ret;
if (out == NULL)
out = &str;
tbl = ASN1_STRING_TABLE_get(nid);
if (tbl != NULL) {
mask = tbl->mask;
if (!(tbl->flags & STABLE_NO_MASK))
mask &= global_mask;
ret = ASN1_mbstring_ncopy(out, in, inlen, inform, mask,
tbl->minsize, tbl->maxsize);
} else {
ret = ASN1_mbstring_copy(out, in, inlen, inform,
DIRSTRING_TYPE & global_mask);
}
if (ret <= 0)
return NULL;
return *out;
}
/*
* Now the tables and helper functions for the string table:
*/
#include "tbl_standard.h"
static int sk_table_cmp(const ASN1_STRING_TABLE *const *a,
const ASN1_STRING_TABLE *const *b)
{
return (*a)->nid - (*b)->nid;
}
DECLARE_OBJ_BSEARCH_CMP_FN(ASN1_STRING_TABLE, ASN1_STRING_TABLE, table);
static int table_cmp(const ASN1_STRING_TABLE *a, const ASN1_STRING_TABLE *b)
{
return a->nid - b->nid;
}
IMPLEMENT_OBJ_BSEARCH_CMP_FN(ASN1_STRING_TABLE, ASN1_STRING_TABLE, table);
ASN1_STRING_TABLE *ASN1_STRING_TABLE_get(int nid)
{
int idx;
ASN1_STRING_TABLE fnd;
#ifndef OPENSSL_NO_AUTOLOAD_CONFIG
/* "stable" can be impacted by config, so load the config file first */
OPENSSL_init_crypto(OPENSSL_INIT_LOAD_CONFIG, NULL);
#endif
fnd.nid = nid;
if (stable != NULL) {
/* Ideally, this would be done under lock */
sk_ASN1_STRING_TABLE_sort(stable);
idx = sk_ASN1_STRING_TABLE_find(stable, &fnd);
if (idx >= 0)
return sk_ASN1_STRING_TABLE_value(stable, idx);
}
return OBJ_bsearch_table(&fnd, tbl_standard, OSSL_NELEM(tbl_standard));
}
/*
* Return a string table pointer which can be modified: either directly from
* table or a copy of an internal value added to the table.
*/
static ASN1_STRING_TABLE *stable_get(int nid)
{
ASN1_STRING_TABLE *tmp, *rv;
/* Always need a string table so allocate one if NULL */
if (stable == NULL) {
stable = sk_ASN1_STRING_TABLE_new(sk_table_cmp);
if (stable == NULL)
return NULL;
}
tmp = ASN1_STRING_TABLE_get(nid);
if (tmp != NULL && tmp->flags & STABLE_FLAGS_MALLOC)
return tmp;
if ((rv = OPENSSL_zalloc(sizeof(*rv))) == NULL)
return NULL;
if (!sk_ASN1_STRING_TABLE_push(stable, rv)) {
OPENSSL_free(rv);
return NULL;
}
if (tmp != NULL) {
rv->nid = tmp->nid;
rv->minsize = tmp->minsize;
rv->maxsize = tmp->maxsize;
rv->mask = tmp->mask;
rv->flags = tmp->flags | STABLE_FLAGS_MALLOC;
} else {
rv->nid = nid;
rv->minsize = -1;
rv->maxsize = -1;
rv->flags = STABLE_FLAGS_MALLOC;
}
return rv;
}
int ASN1_STRING_TABLE_add(int nid,
long minsize, long maxsize, unsigned long mask,
unsigned long flags)
{
ASN1_STRING_TABLE *tmp;
tmp = stable_get(nid);
if (tmp == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
return 0;
}
if (minsize >= 0)
tmp->minsize = minsize;
if (maxsize >= 0)
tmp->maxsize = maxsize;
if (mask)
tmp->mask = mask;
if (flags)
tmp->flags = STABLE_FLAGS_MALLOC | flags;
return 1;
}
void ASN1_STRING_TABLE_cleanup(void)
{
STACK_OF(ASN1_STRING_TABLE) *tmp;
tmp = stable;
if (tmp == NULL)
return;
stable = NULL;
sk_ASN1_STRING_TABLE_pop_free(tmp, st_free);
}
static void st_free(ASN1_STRING_TABLE *tbl)
{
if (tbl->flags & STABLE_FLAGS_MALLOC)
OPENSSL_free(tbl);
}
|
./openssl/crypto/asn1/asn1_item_list.c | /*
* Copyright 2000-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/* We need to use the low level ASN1 items until they are removed */
#define OPENSSL_SUPPRESS_DEPRECATED
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/asn1.h>
#include <openssl/asn1t.h>
#include <openssl/cms.h>
#include <openssl/dh.h>
#include <openssl/ocsp.h>
#include <openssl/pkcs7.h>
#include <openssl/pkcs12.h>
#include <openssl/rsa.h>
#include <openssl/x509v3.h>
#include "asn1_item_list.h"
const ASN1_ITEM *ASN1_ITEM_lookup(const char *name)
{
size_t i;
for (i = 0; i < OSSL_NELEM(asn1_item_list); i++) {
const ASN1_ITEM *it = ASN1_ITEM_ptr(asn1_item_list[i]);
if (strcmp(it->sname, name) == 0)
return it;
}
return NULL;
}
const ASN1_ITEM *ASN1_ITEM_get(size_t i)
{
if (i >= OSSL_NELEM(asn1_item_list))
return NULL;
return ASN1_ITEM_ptr(asn1_item_list[i]);
}
|
./openssl/crypto/asn1/f_int.c | /*
* Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "crypto/ctype.h"
#include "internal/cryptlib.h"
#include <openssl/buffer.h>
#include <openssl/asn1.h>
int i2a_ASN1_INTEGER(BIO *bp, const ASN1_INTEGER *a)
{
int i, n = 0;
static const char *h = "0123456789ABCDEF";
char buf[2];
if (a == NULL)
return 0;
if (a->type & V_ASN1_NEG) {
if (BIO_write(bp, "-", 1) != 1)
goto err;
n = 1;
}
if (a->length == 0) {
if (BIO_write(bp, "00", 2) != 2)
goto err;
n += 2;
} else {
for (i = 0; i < a->length; i++) {
if ((i != 0) && (i % 35 == 0)) {
if (BIO_write(bp, "\\\n", 2) != 2)
goto err;
n += 2;
}
buf[0] = h[((unsigned char)a->data[i] >> 4) & 0x0f];
buf[1] = h[((unsigned char)a->data[i]) & 0x0f];
if (BIO_write(bp, buf, 2) != 2)
goto err;
n += 2;
}
}
return n;
err:
return -1;
}
int a2i_ASN1_INTEGER(BIO *bp, ASN1_INTEGER *bs, char *buf, int size)
{
int i, j, k, m, n, again, bufsize;
unsigned char *s = NULL, *sp;
unsigned char *bufp;
int num = 0, slen = 0, first = 1;
bs->type = V_ASN1_INTEGER;
bufsize = BIO_gets(bp, buf, size);
for (;;) {
if (bufsize < 1)
goto err;
i = bufsize;
if (buf[i - 1] == '\n')
buf[--i] = '\0';
if (i == 0)
goto err;
if (buf[i - 1] == '\r')
buf[--i] = '\0';
if (i == 0)
goto err;
again = (buf[i - 1] == '\\');
for (j = 0; j < i; j++) {
if (!ossl_isxdigit(buf[j]))
{
i = j;
break;
}
}
buf[i] = '\0';
/*
* We have now cleared all the crap off the end of the line
*/
if (i < 2)
goto err;
bufp = (unsigned char *)buf;
if (first) {
first = 0;
if ((bufp[0] == '0') && (bufp[1] == '0')) {
bufp += 2;
i -= 2;
}
}
k = 0;
i -= again;
if (i % 2 != 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ODD_NUMBER_OF_CHARS);
OPENSSL_free(s);
return 0;
}
i /= 2;
if (num + i > slen) {
sp = OPENSSL_clear_realloc(s, slen, num + i * 2);
if (sp == NULL) {
OPENSSL_free(s);
return 0;
}
s = sp;
slen = num + i * 2;
}
for (j = 0; j < i; j++, k += 2) {
for (n = 0; n < 2; n++) {
m = OPENSSL_hexchar2int(bufp[k + n]);
if (m < 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_NON_HEX_CHARACTERS);
goto err;
}
s[num + j] <<= 4;
s[num + j] |= m;
}
}
num += i;
if (again)
bufsize = BIO_gets(bp, buf, size);
else
break;
}
bs->length = num;
bs->data = s;
return 1;
err:
ERR_raise(ERR_LIB_ASN1, ASN1_R_SHORT_LINE);
OPENSSL_free(s);
return 0;
}
int i2a_ASN1_ENUMERATED(BIO *bp, const ASN1_ENUMERATED *a)
{
return i2a_ASN1_INTEGER(bp, a);
}
int a2i_ASN1_ENUMERATED(BIO *bp, ASN1_ENUMERATED *bs, char *buf, int size)
{
int rv = a2i_ASN1_INTEGER(bp, bs, buf, size);
if (rv == 1)
bs->type = V_ASN1_INTEGER | (bs->type & V_ASN1_NEG);
return rv;
}
|
./openssl/crypto/asn1/a_strex.c | /*
* Copyright 2000-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include <string.h>
#include "internal/cryptlib.h"
#include "crypto/asn1.h"
#include <openssl/crypto.h>
#include <openssl/x509.h>
#include <openssl/asn1.h>
#include "charmap.h"
/*
* ASN1_STRING_print_ex() and X509_NAME_print_ex(). Enhanced string and name
* printing routines handling multibyte characters, RFC2253 and a host of
* other options.
*/
#define CHARTYPE_BS_ESC (ASN1_STRFLGS_ESC_2253 | CHARTYPE_FIRST_ESC_2253 | CHARTYPE_LAST_ESC_2253)
#define ESC_FLAGS (ASN1_STRFLGS_ESC_2253 | \
ASN1_STRFLGS_ESC_2254 | \
ASN1_STRFLGS_ESC_QUOTE | \
ASN1_STRFLGS_ESC_CTRL | \
ASN1_STRFLGS_ESC_MSB)
/*
* Three IO functions for sending data to memory, a BIO and a FILE
* pointer.
*/
static int send_bio_chars(void *arg, const void *buf, int len)
{
if (!arg)
return 1;
if (BIO_write(arg, buf, len) != len)
return 0;
return 1;
}
#ifndef OPENSSL_NO_STDIO
static int send_fp_chars(void *arg, const void *buf, int len)
{
if (!arg)
return 1;
if (fwrite(buf, 1, len, arg) != (unsigned int)len)
return 0;
return 1;
}
#endif
typedef int char_io (void *arg, const void *buf, int len);
/*
* This function handles display of strings, one character at a time. It is
* passed an unsigned long for each character because it could come from 2 or
* even 4 byte forms.
*/
static int do_esc_char(unsigned long c, unsigned short flags, char *do_quotes,
char_io *io_ch, void *arg)
{
unsigned short chflgs;
unsigned char chtmp;
char tmphex[HEX_SIZE(long) + 3];
if (c > 0xffffffffL)
return -1;
if (c > 0xffff) {
BIO_snprintf(tmphex, sizeof(tmphex), "\\W%08lX", c);
if (!io_ch(arg, tmphex, 10))
return -1;
return 10;
}
if (c > 0xff) {
BIO_snprintf(tmphex, sizeof(tmphex), "\\U%04lX", c);
if (!io_ch(arg, tmphex, 6))
return -1;
return 6;
}
chtmp = (unsigned char)c;
if (chtmp > 0x7f)
chflgs = flags & ASN1_STRFLGS_ESC_MSB;
else
chflgs = char_type[chtmp] & flags;
if (chflgs & CHARTYPE_BS_ESC) {
/* If we don't escape with quotes, signal we need quotes */
if (chflgs & ASN1_STRFLGS_ESC_QUOTE) {
if (do_quotes)
*do_quotes = 1;
if (!io_ch(arg, &chtmp, 1))
return -1;
return 1;
}
if (!io_ch(arg, "\\", 1))
return -1;
if (!io_ch(arg, &chtmp, 1))
return -1;
return 2;
}
if (chflgs & (ASN1_STRFLGS_ESC_CTRL
| ASN1_STRFLGS_ESC_MSB
| ASN1_STRFLGS_ESC_2254)) {
BIO_snprintf(tmphex, 11, "\\%02X", chtmp);
if (!io_ch(arg, tmphex, 3))
return -1;
return 3;
}
/*
* If we get this far and do any escaping at all must escape the escape
* character itself: backslash.
*/
if (chtmp == '\\' && (flags & ESC_FLAGS)) {
if (!io_ch(arg, "\\\\", 2))
return -1;
return 2;
}
if (!io_ch(arg, &chtmp, 1))
return -1;
return 1;
}
#define BUF_TYPE_WIDTH_MASK 0x7
#define BUF_TYPE_CONVUTF8 0x8
/*
* This function sends each character in a buffer to do_esc_char(). It
* interprets the content formats and converts to or from UTF8 as
* appropriate.
*/
static int do_buf(unsigned char *buf, int buflen,
int type, unsigned short flags, char *quotes, char_io *io_ch,
void *arg)
{
int i, outlen, len, charwidth;
unsigned short orflags;
unsigned char *p, *q;
unsigned long c;
p = buf;
q = buf + buflen;
outlen = 0;
charwidth = type & BUF_TYPE_WIDTH_MASK;
switch (charwidth) {
case 4:
if (buflen & 3) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_INVALID_UNIVERSALSTRING_LENGTH);
return -1;
}
break;
case 2:
if (buflen & 1) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_INVALID_BMPSTRING_LENGTH);
return -1;
}
break;
default:
break;
}
while (p != q) {
if (p == buf && flags & ASN1_STRFLGS_ESC_2253)
orflags = CHARTYPE_FIRST_ESC_2253;
else
orflags = 0;
switch (charwidth) {
case 4:
c = ((unsigned long)*p++) << 24;
c |= ((unsigned long)*p++) << 16;
c |= ((unsigned long)*p++) << 8;
c |= *p++;
break;
case 2:
c = ((unsigned long)*p++) << 8;
c |= *p++;
break;
case 1:
c = *p++;
break;
case 0:
i = UTF8_getc(p, buflen, &c);
if (i < 0)
return -1; /* Invalid UTF8String */
buflen -= i;
p += i;
break;
default:
return -1; /* invalid width */
}
if (p == q && flags & ASN1_STRFLGS_ESC_2253)
orflags = CHARTYPE_LAST_ESC_2253;
if (type & BUF_TYPE_CONVUTF8) {
unsigned char utfbuf[6];
int utflen;
utflen = UTF8_putc(utfbuf, sizeof(utfbuf), c);
for (i = 0; i < utflen; i++) {
/*
* We don't need to worry about setting orflags correctly
* because if utflen==1 its value will be correct anyway
* otherwise each character will be > 0x7f and so the
* character will never be escaped on first and last.
*/
len = do_esc_char(utfbuf[i], flags | orflags, quotes,
io_ch, arg);
if (len < 0)
return -1;
outlen += len;
}
} else {
len = do_esc_char(c, flags | orflags, quotes,
io_ch, arg);
if (len < 0)
return -1;
outlen += len;
}
}
return outlen;
}
/* This function hex dumps a buffer of characters */
static int do_hex_dump(char_io *io_ch, void *arg, unsigned char *buf,
int buflen)
{
static const char hexdig[] = "0123456789ABCDEF";
unsigned char *p, *q;
char hextmp[2];
if (arg) {
p = buf;
q = buf + buflen;
while (p != q) {
hextmp[0] = hexdig[*p >> 4];
hextmp[1] = hexdig[*p & 0xf];
if (!io_ch(arg, hextmp, 2))
return -1;
p++;
}
}
return buflen << 1;
}
/*
* "dump" a string. This is done when the type is unknown, or the flags
* request it. We can either dump the content octets or the entire DER
* encoding. This uses the RFC2253 #01234 format.
*/
static int do_dump(unsigned long lflags, char_io *io_ch, void *arg,
const ASN1_STRING *str)
{
/*
* Placing the ASN1_STRING in a temp ASN1_TYPE allows the DER encoding to
* readily obtained
*/
ASN1_TYPE t;
unsigned char *der_buf, *p;
int outlen, der_len;
if (!io_ch(arg, "#", 1))
return -1;
/* If we don't dump DER encoding just dump content octets */
if (!(lflags & ASN1_STRFLGS_DUMP_DER)) {
outlen = do_hex_dump(io_ch, arg, str->data, str->length);
if (outlen < 0)
return -1;
return outlen + 1;
}
t.type = str->type;
t.value.ptr = (char *)str;
der_len = i2d_ASN1_TYPE(&t, NULL);
if (der_len <= 0)
return -1;
if ((der_buf = OPENSSL_malloc(der_len)) == NULL)
return -1;
p = der_buf;
i2d_ASN1_TYPE(&t, &p);
outlen = do_hex_dump(io_ch, arg, der_buf, der_len);
OPENSSL_free(der_buf);
if (outlen < 0)
return -1;
return outlen + 1;
}
/*
* Lookup table to convert tags to character widths, 0 = UTF8 encoded, -1 is
* used for non string types otherwise it is the number of bytes per
* character
*/
static const signed char tag2nbyte[] = {
-1, -1, -1, -1, -1, /* 0-4 */
-1, -1, -1, -1, -1, /* 5-9 */
-1, -1, /* 10-11 */
0, /* 12 V_ASN1_UTF8STRING */
-1, -1, -1, -1, -1, /* 13-17 */
1, /* 18 V_ASN1_NUMERICSTRING */
1, /* 19 V_ASN1_PRINTABLESTRING */
1, /* 20 V_ASN1_T61STRING */
-1, /* 21 */
1, /* 22 V_ASN1_IA5STRING */
1, /* 23 V_ASN1_UTCTIME */
1, /* 24 V_ASN1_GENERALIZEDTIME */
-1, /* 25 */
1, /* 26 V_ASN1_ISO64STRING */
-1, /* 27 */
4, /* 28 V_ASN1_UNIVERSALSTRING */
-1, /* 29 */
2 /* 30 V_ASN1_BMPSTRING */
};
/*
* This is the main function, print out an ASN1_STRING taking note of various
* escape and display options. Returns number of characters written or -1 if
* an error occurred.
*/
static int do_print_ex(char_io *io_ch, void *arg, unsigned long lflags,
const ASN1_STRING *str)
{
int outlen, len;
int type;
char quotes;
unsigned short flags;
quotes = 0;
/* Keep a copy of escape flags */
flags = (unsigned short)(lflags & ESC_FLAGS);
type = str->type;
outlen = 0;
if (lflags & ASN1_STRFLGS_SHOW_TYPE) {
const char *tagname;
tagname = ASN1_tag2str(type);
outlen += strlen(tagname);
if (!io_ch(arg, tagname, outlen) || !io_ch(arg, ":", 1))
return -1;
outlen++;
}
/* Decide what to do with type, either dump content or display it */
/* Dump everything */
if (lflags & ASN1_STRFLGS_DUMP_ALL)
type = -1;
/* Ignore the string type */
else if (lflags & ASN1_STRFLGS_IGNORE_TYPE)
type = 1;
else {
/* Else determine width based on type */
if ((type > 0) && (type < 31))
type = tag2nbyte[type];
else
type = -1;
if ((type == -1) && !(lflags & ASN1_STRFLGS_DUMP_UNKNOWN))
type = 1;
}
if (type == -1) {
len = do_dump(lflags, io_ch, arg, str);
if (len < 0)
return -1;
outlen += len;
return outlen;
}
if (lflags & ASN1_STRFLGS_UTF8_CONVERT) {
/*
* Note: if string is UTF8 and we want to convert to UTF8 then we
* just interpret it as 1 byte per character to avoid converting
* twice.
*/
if (!type)
type = 1;
else
type |= BUF_TYPE_CONVUTF8;
}
len = do_buf(str->data, str->length, type, flags, "es, io_ch, NULL);
if (len < 0)
return -1;
outlen += len;
if (quotes)
outlen += 2;
if (!arg)
return outlen;
if (quotes && !io_ch(arg, "\"", 1))
return -1;
if (do_buf(str->data, str->length, type, flags, NULL, io_ch, arg) < 0)
return -1;
if (quotes && !io_ch(arg, "\"", 1))
return -1;
return outlen;
}
/* Used for line indenting: print 'indent' spaces */
static int do_indent(char_io *io_ch, void *arg, int indent)
{
int i;
for (i = 0; i < indent; i++)
if (!io_ch(arg, " ", 1))
return 0;
return 1;
}
#define FN_WIDTH_LN 25
#define FN_WIDTH_SN 10
static int do_name_ex(char_io *io_ch, void *arg, const X509_NAME *n,
int indent, unsigned long flags)
{
int i, prev = -1, orflags, cnt;
int fn_opt, fn_nid;
ASN1_OBJECT *fn;
const ASN1_STRING *val;
const X509_NAME_ENTRY *ent;
char objtmp[80];
const char *objbuf;
int outlen, len;
char *sep_dn, *sep_mv, *sep_eq;
int sep_dn_len, sep_mv_len, sep_eq_len;
if (indent < 0)
indent = 0;
outlen = indent;
if (!do_indent(io_ch, arg, indent))
return -1;
switch (flags & XN_FLAG_SEP_MASK) {
case XN_FLAG_SEP_MULTILINE:
sep_dn = "\n";
sep_dn_len = 1;
sep_mv = " + ";
sep_mv_len = 3;
break;
case XN_FLAG_SEP_COMMA_PLUS:
sep_dn = ",";
sep_dn_len = 1;
sep_mv = "+";
sep_mv_len = 1;
indent = 0;
break;
case XN_FLAG_SEP_CPLUS_SPC:
sep_dn = ", ";
sep_dn_len = 2;
sep_mv = " + ";
sep_mv_len = 3;
indent = 0;
break;
case XN_FLAG_SEP_SPLUS_SPC:
sep_dn = "; ";
sep_dn_len = 2;
sep_mv = " + ";
sep_mv_len = 3;
indent = 0;
break;
default:
return -1;
}
if (flags & XN_FLAG_SPC_EQ) {
sep_eq = " = ";
sep_eq_len = 3;
} else {
sep_eq = "=";
sep_eq_len = 1;
}
fn_opt = flags & XN_FLAG_FN_MASK;
cnt = X509_NAME_entry_count(n);
for (i = 0; i < cnt; i++) {
if (flags & XN_FLAG_DN_REV)
ent = X509_NAME_get_entry(n, cnt - i - 1);
else
ent = X509_NAME_get_entry(n, i);
if (prev != -1) {
if (prev == X509_NAME_ENTRY_set(ent)) {
if (!io_ch(arg, sep_mv, sep_mv_len))
return -1;
outlen += sep_mv_len;
} else {
if (!io_ch(arg, sep_dn, sep_dn_len))
return -1;
outlen += sep_dn_len;
if (!do_indent(io_ch, arg, indent))
return -1;
outlen += indent;
}
}
prev = X509_NAME_ENTRY_set(ent);
fn = X509_NAME_ENTRY_get_object(ent);
val = X509_NAME_ENTRY_get_data(ent);
fn_nid = OBJ_obj2nid(fn);
if (fn_opt != XN_FLAG_FN_NONE) {
int objlen, fld_len;
if ((fn_opt == XN_FLAG_FN_OID) || (fn_nid == NID_undef)) {
OBJ_obj2txt(objtmp, sizeof(objtmp), fn, 1);
fld_len = 0; /* XXX: what should this be? */
objbuf = objtmp;
} else {
if (fn_opt == XN_FLAG_FN_SN) {
fld_len = FN_WIDTH_SN;
objbuf = OBJ_nid2sn(fn_nid);
} else if (fn_opt == XN_FLAG_FN_LN) {
fld_len = FN_WIDTH_LN;
objbuf = OBJ_nid2ln(fn_nid);
} else {
fld_len = 0; /* XXX: what should this be? */
objbuf = "";
}
}
objlen = strlen(objbuf);
if (!io_ch(arg, objbuf, objlen))
return -1;
if ((objlen < fld_len) && (flags & XN_FLAG_FN_ALIGN)) {
if (!do_indent(io_ch, arg, fld_len - objlen))
return -1;
outlen += fld_len - objlen;
}
if (!io_ch(arg, sep_eq, sep_eq_len))
return -1;
outlen += objlen + sep_eq_len;
}
/*
* If the field name is unknown then fix up the DER dump flag. We
* might want to limit this further so it will DER dump on anything
* other than a few 'standard' fields.
*/
if ((fn_nid == NID_undef) && (flags & XN_FLAG_DUMP_UNKNOWN_FIELDS))
orflags = ASN1_STRFLGS_DUMP_ALL;
else
orflags = 0;
len = do_print_ex(io_ch, arg, flags | orflags, val);
if (len < 0)
return -1;
outlen += len;
}
return outlen;
}
/* Wrappers round the main functions */
int X509_NAME_print_ex(BIO *out, const X509_NAME *nm, int indent,
unsigned long flags)
{
if (flags == XN_FLAG_COMPAT)
return X509_NAME_print(out, nm, indent);
return do_name_ex(send_bio_chars, out, nm, indent, flags);
}
#ifndef OPENSSL_NO_STDIO
int X509_NAME_print_ex_fp(FILE *fp, const X509_NAME *nm, int indent,
unsigned long flags)
{
if (flags == XN_FLAG_COMPAT) {
BIO *btmp;
int ret;
btmp = BIO_new_fp(fp, BIO_NOCLOSE);
if (!btmp)
return -1;
ret = X509_NAME_print(btmp, nm, indent);
BIO_free(btmp);
return ret;
}
return do_name_ex(send_fp_chars, fp, nm, indent, flags);
}
#endif
int ASN1_STRING_print_ex(BIO *out, const ASN1_STRING *str, unsigned long flags)
{
return do_print_ex(send_bio_chars, out, flags, str);
}
#ifndef OPENSSL_NO_STDIO
int ASN1_STRING_print_ex_fp(FILE *fp, const ASN1_STRING *str, unsigned long flags)
{
return do_print_ex(send_fp_chars, fp, flags, str);
}
#endif
/*
* Utility function: convert any string type to UTF8, returns number of bytes
* in output string or a negative error code
*/
int ASN1_STRING_to_UTF8(unsigned char **out, const ASN1_STRING *in)
{
ASN1_STRING stmp, *str = &stmp;
int mbflag, type, ret;
if (!in)
return -1;
type = in->type;
if ((type < 0) || (type > 30))
return -1;
mbflag = tag2nbyte[type];
if (mbflag == -1)
return -1;
mbflag |= MBSTRING_FLAG;
stmp.data = NULL;
stmp.length = 0;
stmp.flags = 0;
ret =
ASN1_mbstring_copy(&str, in->data, in->length, mbflag,
B_ASN1_UTF8STRING);
if (ret < 0)
return ret;
*out = stmp.data;
return stmp.length;
}
|
./openssl/crypto/asn1/asn_pack.c | /*
* Copyright 1999-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/asn1.h>
/* ASN1 packing and unpacking functions */
ASN1_STRING *ASN1_item_pack(void *obj, const ASN1_ITEM *it, ASN1_STRING **oct)
{
ASN1_STRING *octmp;
if (oct == NULL || *oct == NULL) {
if ((octmp = ASN1_STRING_new()) == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
return NULL;
}
} else {
octmp = *oct;
}
ASN1_STRING_set0(octmp, NULL, 0);
if ((octmp->length = ASN1_item_i2d(obj, &octmp->data, it)) <= 0) {
ERR_raise(ERR_LIB_ASN1, ASN1_R_ENCODE_ERROR);
goto err;
}
if (octmp->data == NULL) {
ERR_raise(ERR_LIB_ASN1, ERR_R_ASN1_LIB);
goto err;
}
if (oct != NULL && *oct == NULL)
*oct = octmp;
return octmp;
err:
if (oct == NULL || *oct == NULL)
ASN1_STRING_free(octmp);
return NULL;
}
/* Extract an ASN1 object from an ASN1_STRING */
void *ASN1_item_unpack(const ASN1_STRING *oct, const ASN1_ITEM *it)
{
const unsigned char *p;
void *ret;
p = oct->data;
if ((ret = ASN1_item_d2i(NULL, &p, oct->length, it)) == NULL)
ERR_raise(ERR_LIB_ASN1, ASN1_R_DECODE_ERROR);
return ret;
}
void *ASN1_item_unpack_ex(const ASN1_STRING *oct, const ASN1_ITEM *it,
OSSL_LIB_CTX *libctx, const char *propq)
{
const unsigned char *p;
void *ret;
p = oct->data;
if ((ret = ASN1_item_d2i_ex(NULL, &p, oct->length, it,\
libctx, propq)) == NULL)
ERR_raise(ERR_LIB_ASN1, ASN1_R_DECODE_ERROR);
return ret;
}
|
./openssl/crypto/asn1/a_digest.c | /*
* Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/* We need to use some engine deprecated APIs */
#define OPENSSL_SUPPRESS_DEPRECATED
#include <stdio.h>
#include <time.h>
#include <sys/types.h>
#include "internal/cryptlib.h"
#include <openssl/engine.h>
#include <openssl/err.h>
#include <openssl/evp.h>
#include <openssl/buffer.h>
#include <openssl/x509.h>
#include "crypto/x509.h"
#ifndef OPENSSL_NO_DEPRECATED_3_0
int ASN1_digest(i2d_of_void *i2d, const EVP_MD *type, char *data,
unsigned char *md, unsigned int *len)
{
int inl;
unsigned char *str, *p;
inl = i2d(data, NULL);
if (inl <= 0) {
ERR_raise(ERR_LIB_ASN1, ERR_R_INTERNAL_ERROR);
return 0;
}
if ((str = OPENSSL_malloc(inl)) == NULL)
return 0;
p = str;
i2d(data, &p);
if (!EVP_Digest(str, inl, md, len, type, NULL)) {
OPENSSL_free(str);
return 0;
}
OPENSSL_free(str);
return 1;
}
#endif
int ossl_asn1_item_digest_ex(const ASN1_ITEM *it, const EVP_MD *md, void *asn,
unsigned char *data, unsigned int *len,
OSSL_LIB_CTX *libctx, const char *propq)
{
int i, ret = 0;
unsigned char *str = NULL;
EVP_MD *fetched_md = (EVP_MD *)md;
i = ASN1_item_i2d(asn, &str, it);
if (i < 0 || str == NULL)
return 0;
if (EVP_MD_get0_provider(md) == NULL) {
#if !defined(OPENSSL_NO_ENGINE)
ENGINE *tmpeng = ENGINE_get_digest_engine(EVP_MD_get_type(md));
if (tmpeng != NULL)
ENGINE_finish(tmpeng);
else
#endif
fetched_md = EVP_MD_fetch(libctx, EVP_MD_get0_name(md), propq);
}
if (fetched_md == NULL)
goto err;
ret = EVP_Digest(str, i, data, len, fetched_md, NULL);
err:
OPENSSL_free(str);
if (fetched_md != md)
EVP_MD_free(fetched_md);
return ret;
}
int ASN1_item_digest(const ASN1_ITEM *it, const EVP_MD *md, void *asn,
unsigned char *data, unsigned int *len)
{
return ossl_asn1_item_digest_ex(it, md, asn, data, len, NULL, NULL);
}
|
./openssl/crypto/txt_db/txt_db.c | /*
* Copyright 1995-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include "internal/cryptlib.h"
#include <openssl/buffer.h>
#include <openssl/txt_db.h>
#undef BUFSIZE
#define BUFSIZE 512
TXT_DB *TXT_DB_read(BIO *in, int num)
{
TXT_DB *ret = NULL;
int esc = 0;
int i, add, n;
int size = BUFSIZE;
int offset = 0;
char *p, *f;
OPENSSL_STRING *pp;
BUF_MEM *buf = NULL;
if ((buf = BUF_MEM_new()) == NULL)
goto err;
if (!BUF_MEM_grow(buf, size))
goto err;
if ((ret = OPENSSL_malloc(sizeof(*ret))) == NULL)
goto err;
ret->num_fields = num;
ret->index = NULL;
ret->qual = NULL;
if ((ret->data = sk_OPENSSL_PSTRING_new_null()) == NULL)
goto err;
if ((ret->index = OPENSSL_malloc(sizeof(*ret->index) * num)) == NULL)
goto err;
if ((ret->qual = OPENSSL_malloc(sizeof(*(ret->qual)) * num)) == NULL)
goto err;
for (i = 0; i < num; i++) {
ret->index[i] = NULL;
ret->qual[i] = NULL;
}
add = (num + 1) * sizeof(char *);
buf->data[size - 1] = '\0';
offset = 0;
for (;;) {
if (offset != 0) {
size += BUFSIZE;
if (!BUF_MEM_grow_clean(buf, size))
goto err;
}
buf->data[offset] = '\0';
BIO_gets(in, &(buf->data[offset]), size - offset);
if (buf->data[offset] == '\0')
break;
if ((offset == 0) && (buf->data[0] == '#'))
continue;
i = strlen(&(buf->data[offset]));
offset += i;
if (buf->data[offset - 1] != '\n')
continue;
else {
buf->data[offset - 1] = '\0'; /* blat the '\n' */
if ((p = OPENSSL_malloc(add + offset)) == NULL)
goto err;
offset = 0;
}
pp = (char **)p;
p += add;
n = 0;
pp[n++] = p;
f = buf->data;
esc = 0;
for (;;) {
if (*f == '\0')
break;
if (*f == '\t') {
if (esc)
p--;
else {
*(p++) = '\0';
f++;
if (n >= num)
break;
pp[n++] = p;
continue;
}
}
esc = (*f == '\\');
*(p++) = *(f++);
}
*(p++) = '\0';
if ((n != num) || (*f != '\0')) {
OPENSSL_free(pp);
ret->error = DB_ERROR_WRONG_NUM_FIELDS;
goto err;
}
pp[n] = p;
if (!sk_OPENSSL_PSTRING_push(ret->data, pp)) {
OPENSSL_free(pp);
goto err;
}
}
BUF_MEM_free(buf);
return ret;
err:
BUF_MEM_free(buf);
if (ret != NULL) {
sk_OPENSSL_PSTRING_free(ret->data);
OPENSSL_free(ret->index);
OPENSSL_free(ret->qual);
OPENSSL_free(ret);
}
return NULL;
}
OPENSSL_STRING *TXT_DB_get_by_index(TXT_DB *db, int idx,
OPENSSL_STRING *value)
{
OPENSSL_STRING *ret;
LHASH_OF(OPENSSL_STRING) *lh;
if (idx >= db->num_fields) {
db->error = DB_ERROR_INDEX_OUT_OF_RANGE;
return NULL;
}
lh = db->index[idx];
if (lh == NULL) {
db->error = DB_ERROR_NO_INDEX;
return NULL;
}
ret = lh_OPENSSL_STRING_retrieve(lh, value);
db->error = DB_ERROR_OK;
return ret;
}
int TXT_DB_create_index(TXT_DB *db, int field, int (*qual) (OPENSSL_STRING *),
OPENSSL_LH_HASHFUNC hash, OPENSSL_LH_COMPFUNC cmp)
{
LHASH_OF(OPENSSL_STRING) *idx;
OPENSSL_STRING *r, *k;
int i, n;
if (field >= db->num_fields) {
db->error = DB_ERROR_INDEX_OUT_OF_RANGE;
return 0;
}
/* FIXME: we lose type checking at this point */
if ((idx = (LHASH_OF(OPENSSL_STRING) *)OPENSSL_LH_new(hash, cmp)) == NULL) {
db->error = DB_ERROR_MALLOC;
return 0;
}
n = sk_OPENSSL_PSTRING_num(db->data);
for (i = 0; i < n; i++) {
r = sk_OPENSSL_PSTRING_value(db->data, i);
if ((qual != NULL) && (qual(r) == 0))
continue;
if ((k = lh_OPENSSL_STRING_insert(idx, r)) != NULL) {
db->error = DB_ERROR_INDEX_CLASH;
db->arg1 = sk_OPENSSL_PSTRING_find(db->data, k);
db->arg2 = i;
lh_OPENSSL_STRING_free(idx);
return 0;
}
if (lh_OPENSSL_STRING_retrieve(idx, r) == NULL) {
db->error = DB_ERROR_MALLOC;
lh_OPENSSL_STRING_free(idx);
return 0;
}
}
lh_OPENSSL_STRING_free(db->index[field]);
db->index[field] = idx;
db->qual[field] = qual;
return 1;
}
long TXT_DB_write(BIO *out, TXT_DB *db)
{
long i, j, n, nn, l, tot = 0;
char *p, **pp, *f;
BUF_MEM *buf = NULL;
long ret = -1;
if ((buf = BUF_MEM_new()) == NULL)
goto err;
n = sk_OPENSSL_PSTRING_num(db->data);
nn = db->num_fields;
for (i = 0; i < n; i++) {
pp = sk_OPENSSL_PSTRING_value(db->data, i);
l = 0;
for (j = 0; j < nn; j++) {
if (pp[j] != NULL)
l += strlen(pp[j]);
}
if (!BUF_MEM_grow_clean(buf, (int)(l * 2 + nn)))
goto err;
p = buf->data;
for (j = 0; j < nn; j++) {
f = pp[j];
if (f != NULL)
for (;;) {
if (*f == '\0')
break;
if (*f == '\t')
*(p++) = '\\';
*(p++) = *(f++);
}
*(p++) = '\t';
}
p[-1] = '\n';
j = p - buf->data;
if (BIO_write(out, buf->data, (int)j) != j)
goto err;
tot += j;
}
ret = tot;
err:
BUF_MEM_free(buf);
return ret;
}
int TXT_DB_insert(TXT_DB *db, OPENSSL_STRING *row)
{
int i;
OPENSSL_STRING *r;
for (i = 0; i < db->num_fields; i++) {
if (db->index[i] != NULL) {
if ((db->qual[i] != NULL) && (db->qual[i] (row) == 0))
continue;
r = lh_OPENSSL_STRING_retrieve(db->index[i], row);
if (r != NULL) {
db->error = DB_ERROR_INDEX_CLASH;
db->arg1 = i;
db->arg_row = r;
goto err;
}
}
}
for (i = 0; i < db->num_fields; i++) {
if (db->index[i] != NULL) {
if ((db->qual[i] != NULL) && (db->qual[i] (row) == 0))
continue;
(void)lh_OPENSSL_STRING_insert(db->index[i], row);
if (lh_OPENSSL_STRING_retrieve(db->index[i], row) == NULL)
goto err1;
}
}
if (!sk_OPENSSL_PSTRING_push(db->data, row))
goto err1;
return 1;
err1:
db->error = DB_ERROR_MALLOC;
while (i-- > 0) {
if (db->index[i] != NULL) {
if ((db->qual[i] != NULL) && (db->qual[i] (row) == 0))
continue;
(void)lh_OPENSSL_STRING_delete(db->index[i], row);
}
}
err:
return 0;
}
void TXT_DB_free(TXT_DB *db)
{
int i, n;
char **p, *max;
if (db == NULL)
return;
if (db->index != NULL) {
for (i = db->num_fields - 1; i >= 0; i--)
lh_OPENSSL_STRING_free(db->index[i]);
OPENSSL_free(db->index);
}
OPENSSL_free(db->qual);
if (db->data != NULL) {
for (i = sk_OPENSSL_PSTRING_num(db->data) - 1; i >= 0; i--) {
/*
* check if any 'fields' have been allocated from outside of the
* initial block
*/
p = sk_OPENSSL_PSTRING_value(db->data, i);
max = p[db->num_fields]; /* last address */
if (max == NULL) { /* new row */
for (n = 0; n < db->num_fields; n++)
OPENSSL_free(p[n]);
} else {
for (n = 0; n < db->num_fields; n++) {
if (((p[n] < (char *)p) || (p[n] > max)))
OPENSSL_free(p[n]);
}
}
OPENSSL_free(sk_OPENSSL_PSTRING_value(db->data, i));
}
sk_OPENSSL_PSTRING_free(db->data);
}
OPENSSL_free(db);
}
|
./openssl/crypto/ec/ec2_oct.c | /*
* Copyright 2011-2022 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <openssl/err.h>
#include "ec_local.h"
#ifndef OPENSSL_NO_EC2M
/*-
* Calculates and sets the affine coordinates of an EC_POINT from the given
* compressed coordinates. Uses algorithm 2.3.4 of SEC 1.
* Note that the simple implementation only uses affine coordinates.
*
* The method is from the following publication:
*
* Harper, Menezes, Vanstone:
* "Public-Key Cryptosystems with Very Small Key Lengths",
* EUROCRYPT '92, Springer-Verlag LNCS 658,
* published February 1993
*
* US Patents 6,141,420 and 6,618,483 (Vanstone, Mullin, Agnew) describe
* the same method, but claim no priority date earlier than July 29, 1994
* (and additionally fail to cite the EUROCRYPT '92 publication as prior art).
*/
int ossl_ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *group,
EC_POINT *point,
const BIGNUM *x_, int y_bit,
BN_CTX *ctx)
{
BIGNUM *tmp, *x, *y, *z;
int ret = 0, z0;
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
}
#endif
y_bit = (y_bit != 0) ? 1 : 0;
BN_CTX_start(ctx);
tmp = BN_CTX_get(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
z = BN_CTX_get(ctx);
if (z == NULL)
goto err;
if (!BN_GF2m_mod_arr(x, x_, group->poly))
goto err;
if (BN_is_zero(x)) {
if (!BN_GF2m_mod_sqrt_arr(y, group->b, group->poly, ctx))
goto err;
} else {
if (!group->meth->field_sqr(group, tmp, x, ctx))
goto err;
if (!group->meth->field_div(group, tmp, group->b, tmp, ctx))
goto err;
if (!BN_GF2m_add(tmp, group->a, tmp))
goto err;
if (!BN_GF2m_add(tmp, x, tmp))
goto err;
ERR_set_mark();
if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx)) {
#ifndef FIPS_MODULE
unsigned long err = ERR_peek_last_error();
if (ERR_GET_LIB(err) == ERR_LIB_BN
&& ERR_GET_REASON(err) == BN_R_NO_SOLUTION) {
ERR_pop_to_mark();
ERR_raise(ERR_LIB_EC, EC_R_INVALID_COMPRESSED_POINT);
} else
#endif
{
ERR_clear_last_mark();
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
}
goto err;
}
ERR_clear_last_mark();
z0 = (BN_is_odd(z)) ? 1 : 0;
if (!group->meth->field_mul(group, y, x, z, ctx))
goto err;
if (z0 != y_bit) {
if (!BN_GF2m_add(y, y, x))
goto err;
}
}
if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
goto err;
ret = 1;
err:
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
return ret;
}
/*
* Converts an EC_POINT to an octet string. If buf is NULL, the encoded
* length will be returned. If the length len of buf is smaller than required
* an error will be returned.
*/
size_t ossl_ec_GF2m_simple_point2oct(const EC_GROUP *group,
const EC_POINT *point,
point_conversion_form_t form,
unsigned char *buf, size_t len, BN_CTX *ctx)
{
size_t ret;
int used_ctx = 0;
BIGNUM *x, *y, *yxi;
size_t field_len, i, skip;
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
#endif
if ((form != POINT_CONVERSION_COMPRESSED)
&& (form != POINT_CONVERSION_UNCOMPRESSED)
&& (form != POINT_CONVERSION_HYBRID)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_FORM);
goto err;
}
if (EC_POINT_is_at_infinity(group, point)) {
/* encodes to a single 0 octet */
if (buf != NULL) {
if (len < 1) {
ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
return 0;
}
buf[0] = 0;
}
return 1;
}
/* ret := required output buffer length */
field_len = (EC_GROUP_get_degree(group) + 7) / 8;
ret =
(form ==
POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
/* if 'buf' is NULL, just return required length */
if (buf != NULL) {
if (len < ret) {
ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
goto err;
}
#ifndef FIPS_MODULE
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
}
#endif
BN_CTX_start(ctx);
used_ctx = 1;
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
yxi = BN_CTX_get(ctx);
if (yxi == NULL)
goto err;
if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx))
goto err;
buf[0] = form;
if ((form != POINT_CONVERSION_UNCOMPRESSED) && !BN_is_zero(x)) {
if (!group->meth->field_div(group, yxi, y, x, ctx))
goto err;
if (BN_is_odd(yxi))
buf[0]++;
}
i = 1;
skip = field_len - BN_num_bytes(x);
if (skip > field_len) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
goto err;
}
while (skip > 0) {
buf[i++] = 0;
skip--;
}
skip = BN_bn2bin(x, buf + i);
i += skip;
if (i != 1 + field_len) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
goto err;
}
if (form == POINT_CONVERSION_UNCOMPRESSED
|| form == POINT_CONVERSION_HYBRID) {
skip = field_len - BN_num_bytes(y);
if (skip > field_len) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
goto err;
}
while (skip > 0) {
buf[i++] = 0;
skip--;
}
skip = BN_bn2bin(y, buf + i);
i += skip;
}
if (i != ret) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
goto err;
}
}
if (used_ctx)
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
return ret;
err:
if (used_ctx)
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
return 0;
}
/*
* Converts an octet string representation to an EC_POINT. Note that the
* simple implementation only uses affine coordinates.
*/
int ossl_ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
const unsigned char *buf, size_t len,
BN_CTX *ctx)
{
point_conversion_form_t form;
int y_bit, m;
BIGNUM *x, *y, *yxi;
size_t field_len, enc_len;
int ret = 0;
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
#endif
if (len == 0) {
ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
return 0;
}
/*
* The first octet is the point conversion octet PC, see X9.62, page 4
* and section 4.4.2. It must be:
* 0x00 for the point at infinity
* 0x02 or 0x03 for compressed form
* 0x04 for uncompressed form
* 0x06 or 0x07 for hybrid form.
* For compressed or hybrid forms, we store the last bit of buf[0] as
* y_bit and clear it from buf[0] so as to obtain a POINT_CONVERSION_*.
* We error if buf[0] contains any but the above values.
*/
y_bit = buf[0] & 1;
form = buf[0] & ~1U;
if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
&& (form != POINT_CONVERSION_UNCOMPRESSED)
&& (form != POINT_CONVERSION_HYBRID)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
return 0;
}
if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
return 0;
}
/* The point at infinity is represented by a single zero octet. */
if (form == 0) {
if (len != 1) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
return 0;
}
return EC_POINT_set_to_infinity(group, point);
}
m = EC_GROUP_get_degree(group);
field_len = (m + 7) / 8;
enc_len =
(form ==
POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
if (len != enc_len) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
return 0;
}
#ifndef FIPS_MODULE
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
}
#endif
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
yxi = BN_CTX_get(ctx);
if (yxi == NULL)
goto err;
if (!BN_bin2bn(buf + 1, field_len, x))
goto err;
if (BN_num_bits(x) > m) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
goto err;
}
if (form == POINT_CONVERSION_COMPRESSED) {
if (!EC_POINT_set_compressed_coordinates(group, point, x, y_bit, ctx))
goto err;
} else {
if (!BN_bin2bn(buf + 1 + field_len, field_len, y))
goto err;
if (BN_num_bits(y) > m) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
goto err;
}
if (form == POINT_CONVERSION_HYBRID) {
/*
* Check that the form in the encoding was set correctly
* according to X9.62 4.4.2.a, 4(c), see also first paragraph
* of X9.62, 4.4.1.b.
*/
if (BN_is_zero(x)) {
if (y_bit != 0) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
goto err;
}
} else {
if (!group->meth->field_div(group, yxi, y, x, ctx))
goto err;
if (y_bit != BN_is_odd(yxi)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
goto err;
}
}
}
/*
* EC_POINT_set_affine_coordinates is responsible for checking that
* the point is on the curve.
*/
if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
goto err;
}
ret = 1;
err:
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
return ret;
}
#endif
|
./openssl/crypto/ec/ec_ameth.c | /*
* Copyright 2006-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDH and ECDSA low level APIs are deprecated for public use, but still ok
* for internal use.
*/
#include "internal/deprecated.h"
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/x509.h>
#include <openssl/ec.h>
#include <openssl/bn.h>
#include <openssl/asn1t.h>
#include "crypto/asn1.h"
#include "crypto/evp.h"
#include "crypto/x509.h"
#include <openssl/core_names.h>
#include <openssl/param_build.h>
#include "ec_local.h"
static int eckey_param2type(int *pptype, void **ppval, const EC_KEY *ec_key)
{
const EC_GROUP *group;
int nid;
if (ec_key == NULL || (group = EC_KEY_get0_group(ec_key)) == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_MISSING_PARAMETERS);
return 0;
}
if (EC_GROUP_get_asn1_flag(group)
&& (nid = EC_GROUP_get_curve_name(group)))
/* we have a 'named curve' => just set the OID */
{
ASN1_OBJECT *asn1obj = OBJ_nid2obj(nid);
if (asn1obj == NULL || OBJ_length(asn1obj) == 0) {
ERR_raise(ERR_LIB_EC, EC_R_MISSING_OID);
return 0;
}
*ppval = asn1obj;
*pptype = V_ASN1_OBJECT;
} else { /* explicit parameters */
ASN1_STRING *pstr = NULL;
pstr = ASN1_STRING_new();
if (pstr == NULL)
return 0;
pstr->length = i2d_ECParameters(ec_key, &pstr->data);
if (pstr->length <= 0) {
ASN1_STRING_free(pstr);
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
return 0;
}
*ppval = pstr;
*pptype = V_ASN1_SEQUENCE;
}
return 1;
}
static int eckey_pub_encode(X509_PUBKEY *pk, const EVP_PKEY *pkey)
{
const EC_KEY *ec_key = pkey->pkey.ec;
void *pval = NULL;
int ptype;
unsigned char *penc = NULL, *p;
int penclen;
if (!eckey_param2type(&ptype, &pval, ec_key)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
return 0;
}
penclen = i2o_ECPublicKey(ec_key, NULL);
if (penclen <= 0)
goto err;
penc = OPENSSL_malloc(penclen);
if (penc == NULL)
goto err;
p = penc;
penclen = i2o_ECPublicKey(ec_key, &p);
if (penclen <= 0)
goto err;
if (X509_PUBKEY_set0_param(pk, OBJ_nid2obj(EVP_PKEY_EC),
ptype, pval, penc, penclen))
return 1;
err:
if (ptype == V_ASN1_SEQUENCE)
ASN1_STRING_free(pval);
OPENSSL_free(penc);
return 0;
}
static int eckey_pub_decode(EVP_PKEY *pkey, const X509_PUBKEY *pubkey)
{
const unsigned char *p = NULL;
int pklen;
EC_KEY *eckey = NULL;
X509_ALGOR *palg;
OSSL_LIB_CTX *libctx = NULL;
const char *propq = NULL;
if (!ossl_x509_PUBKEY_get0_libctx(&libctx, &propq, pubkey)
|| !X509_PUBKEY_get0_param(NULL, &p, &pklen, &palg, pubkey))
return 0;
eckey = ossl_ec_key_param_from_x509_algor(palg, libctx, propq);
if (!eckey)
return 0;
/* We have parameters now set public key */
if (!o2i_ECPublicKey(&eckey, &p, pklen)) {
ERR_raise(ERR_LIB_EC, EC_R_DECODE_ERROR);
goto ecerr;
}
EVP_PKEY_assign_EC_KEY(pkey, eckey);
return 1;
ecerr:
EC_KEY_free(eckey);
return 0;
}
static int eckey_pub_cmp(const EVP_PKEY *a, const EVP_PKEY *b)
{
int r;
const EC_GROUP *group = EC_KEY_get0_group(b->pkey.ec);
const EC_POINT *pa = EC_KEY_get0_public_key(a->pkey.ec),
*pb = EC_KEY_get0_public_key(b->pkey.ec);
if (group == NULL || pa == NULL || pb == NULL)
return -2;
r = EC_POINT_cmp(group, pa, pb, NULL);
if (r == 0)
return 1;
if (r == 1)
return 0;
return -2;
}
static int eckey_priv_decode_ex(EVP_PKEY *pkey, const PKCS8_PRIV_KEY_INFO *p8,
OSSL_LIB_CTX *libctx, const char *propq)
{
int ret = 0;
EC_KEY *eckey = ossl_ec_key_from_pkcs8(p8, libctx, propq);
if (eckey != NULL) {
ret = 1;
EVP_PKEY_assign_EC_KEY(pkey, eckey);
}
return ret;
}
static int eckey_priv_encode(PKCS8_PRIV_KEY_INFO *p8, const EVP_PKEY *pkey)
{
EC_KEY ec_key = *(pkey->pkey.ec);
unsigned char *ep = NULL;
int eplen, ptype;
void *pval;
unsigned int old_flags;
if (!eckey_param2type(&ptype, &pval, &ec_key)) {
ERR_raise(ERR_LIB_EC, EC_R_DECODE_ERROR);
return 0;
}
/* set the private key */
/*
* do not include the parameters in the SEC1 private key see PKCS#11
* 12.11
*/
old_flags = EC_KEY_get_enc_flags(&ec_key);
EC_KEY_set_enc_flags(&ec_key, old_flags | EC_PKEY_NO_PARAMETERS);
eplen = i2d_ECPrivateKey(&ec_key, &ep);
if (eplen <= 0) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (!PKCS8_pkey_set0(p8, OBJ_nid2obj(NID_X9_62_id_ecPublicKey), 0,
ptype, pval, ep, eplen)) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
OPENSSL_clear_free(ep, eplen);
goto err;
}
return 1;
err:
if (ptype == V_ASN1_SEQUENCE)
ASN1_STRING_free(pval);
return 0;
}
static int int_ec_size(const EVP_PKEY *pkey)
{
return ECDSA_size(pkey->pkey.ec);
}
static int ec_bits(const EVP_PKEY *pkey)
{
return EC_GROUP_order_bits(EC_KEY_get0_group(pkey->pkey.ec));
}
static int ec_security_bits(const EVP_PKEY *pkey)
{
int ecbits = ec_bits(pkey);
if (ecbits >= 512)
return 256;
if (ecbits >= 384)
return 192;
if (ecbits >= 256)
return 128;
if (ecbits >= 224)
return 112;
if (ecbits >= 160)
return 80;
return ecbits / 2;
}
static int ec_missing_parameters(const EVP_PKEY *pkey)
{
if (pkey->pkey.ec == NULL || EC_KEY_get0_group(pkey->pkey.ec) == NULL)
return 1;
return 0;
}
static int ec_copy_parameters(EVP_PKEY *to, const EVP_PKEY *from)
{
EC_GROUP *group = EC_GROUP_dup(EC_KEY_get0_group(from->pkey.ec));
if (group == NULL)
return 0;
if (to->pkey.ec == NULL) {
to->pkey.ec = EC_KEY_new();
if (to->pkey.ec == NULL)
goto err;
}
if (EC_KEY_set_group(to->pkey.ec, group) == 0)
goto err;
EC_GROUP_free(group);
return 1;
err:
EC_GROUP_free(group);
return 0;
}
static int ec_cmp_parameters(const EVP_PKEY *a, const EVP_PKEY *b)
{
const EC_GROUP *group_a = EC_KEY_get0_group(a->pkey.ec),
*group_b = EC_KEY_get0_group(b->pkey.ec);
if (group_a == NULL || group_b == NULL)
return -2;
if (EC_GROUP_cmp(group_a, group_b, NULL))
return 0;
else
return 1;
}
static void int_ec_free(EVP_PKEY *pkey)
{
EC_KEY_free(pkey->pkey.ec);
}
typedef enum {
EC_KEY_PRINT_PRIVATE,
EC_KEY_PRINT_PUBLIC,
EC_KEY_PRINT_PARAM
} ec_print_t;
static int do_EC_KEY_print(BIO *bp, const EC_KEY *x, int off, ec_print_t ktype)
{
const char *ecstr;
unsigned char *priv = NULL, *pub = NULL;
size_t privlen = 0, publen = 0;
int ret = 0;
const EC_GROUP *group;
if (x == NULL || (group = EC_KEY_get0_group(x)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if (ktype != EC_KEY_PRINT_PARAM && EC_KEY_get0_public_key(x) != NULL) {
publen = EC_KEY_key2buf(x, EC_KEY_get_conv_form(x), &pub, NULL);
if (publen == 0)
goto err;
}
if (ktype == EC_KEY_PRINT_PRIVATE && EC_KEY_get0_private_key(x) != NULL) {
privlen = EC_KEY_priv2buf(x, &priv);
if (privlen == 0)
goto err;
}
if (ktype == EC_KEY_PRINT_PRIVATE)
ecstr = "Private-Key";
else if (ktype == EC_KEY_PRINT_PUBLIC)
ecstr = "Public-Key";
else
ecstr = "ECDSA-Parameters";
if (!BIO_indent(bp, off, 128))
goto err;
if (BIO_printf(bp, "%s: (%d bit)\n", ecstr,
EC_GROUP_order_bits(group)) <= 0)
goto err;
if (privlen != 0) {
if (BIO_printf(bp, "%*spriv:\n", off, "") <= 0)
goto err;
if (ASN1_buf_print(bp, priv, privlen, off + 4) == 0)
goto err;
}
if (publen != 0) {
if (BIO_printf(bp, "%*spub:\n", off, "") <= 0)
goto err;
if (ASN1_buf_print(bp, pub, publen, off + 4) == 0)
goto err;
}
if (!ECPKParameters_print(bp, group, off))
goto err;
ret = 1;
err:
if (!ret)
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
OPENSSL_clear_free(priv, privlen);
OPENSSL_free(pub);
return ret;
}
static int eckey_param_decode(EVP_PKEY *pkey,
const unsigned char **pder, int derlen)
{
EC_KEY *eckey;
if ((eckey = d2i_ECParameters(NULL, pder, derlen)) == NULL)
return 0;
EVP_PKEY_assign_EC_KEY(pkey, eckey);
return 1;
}
static int eckey_param_encode(const EVP_PKEY *pkey, unsigned char **pder)
{
return i2d_ECParameters(pkey->pkey.ec, pder);
}
static int eckey_param_print(BIO *bp, const EVP_PKEY *pkey, int indent,
ASN1_PCTX *ctx)
{
return do_EC_KEY_print(bp, pkey->pkey.ec, indent, EC_KEY_PRINT_PARAM);
}
static int eckey_pub_print(BIO *bp, const EVP_PKEY *pkey, int indent,
ASN1_PCTX *ctx)
{
return do_EC_KEY_print(bp, pkey->pkey.ec, indent, EC_KEY_PRINT_PUBLIC);
}
static int eckey_priv_print(BIO *bp, const EVP_PKEY *pkey, int indent,
ASN1_PCTX *ctx)
{
return do_EC_KEY_print(bp, pkey->pkey.ec, indent, EC_KEY_PRINT_PRIVATE);
}
static int old_ec_priv_decode(EVP_PKEY *pkey,
const unsigned char **pder, int derlen)
{
EC_KEY *ec;
if ((ec = d2i_ECPrivateKey(NULL, pder, derlen)) == NULL)
return 0;
EVP_PKEY_assign_EC_KEY(pkey, ec);
return 1;
}
static int old_ec_priv_encode(const EVP_PKEY *pkey, unsigned char **pder)
{
return i2d_ECPrivateKey(pkey->pkey.ec, pder);
}
static int ec_pkey_ctrl(EVP_PKEY *pkey, int op, long arg1, void *arg2)
{
switch (op) {
case ASN1_PKEY_CTRL_DEFAULT_MD_NID:
if (EVP_PKEY_get_id(pkey) == EVP_PKEY_SM2) {
/* For SM2, the only valid digest-alg is SM3 */
*(int *)arg2 = NID_sm3;
return 2; /* Make it mandatory */
}
*(int *)arg2 = NID_sha256;
return 1;
case ASN1_PKEY_CTRL_SET1_TLS_ENCPT:
/* We should only be here if we have a legacy key */
if (!ossl_assert(evp_pkey_is_legacy(pkey)))
return 0;
return EC_KEY_oct2key(evp_pkey_get0_EC_KEY_int(pkey), arg2, arg1, NULL);
case ASN1_PKEY_CTRL_GET1_TLS_ENCPT:
return EC_KEY_key2buf(EVP_PKEY_get0_EC_KEY(pkey),
POINT_CONVERSION_UNCOMPRESSED, arg2, NULL);
default:
return -2;
}
}
static int ec_pkey_check(const EVP_PKEY *pkey)
{
EC_KEY *eckey = pkey->pkey.ec;
/* stay consistent to what EVP_PKEY_check demands */
if (eckey->priv_key == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_MISSING_PRIVATE_KEY);
return 0;
}
return EC_KEY_check_key(eckey);
}
static int ec_pkey_public_check(const EVP_PKEY *pkey)
{
EC_KEY *eckey = pkey->pkey.ec;
/*
* Note: it unnecessary to check eckey->pub_key here since
* it will be checked in EC_KEY_check_key(). In fact, the
* EC_KEY_check_key() mainly checks the public key, and checks
* the private key optionally (only if there is one). So if
* someone passes a whole EC key (public + private), this
* will also work...
*/
return EC_KEY_check_key(eckey);
}
static int ec_pkey_param_check(const EVP_PKEY *pkey)
{
EC_KEY *eckey = pkey->pkey.ec;
/* stay consistent to what EVP_PKEY_check demands */
if (eckey->group == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_MISSING_PARAMETERS);
return 0;
}
return EC_GROUP_check(eckey->group, NULL);
}
static
size_t ec_pkey_dirty_cnt(const EVP_PKEY *pkey)
{
return pkey->pkey.ec->dirty_cnt;
}
static
int ec_pkey_export_to(const EVP_PKEY *from, void *to_keydata,
OSSL_FUNC_keymgmt_import_fn *importer,
OSSL_LIB_CTX *libctx, const char *propq)
{
const EC_KEY *eckey = NULL;
const EC_GROUP *ecg = NULL;
unsigned char *pub_key_buf = NULL, *gen_buf = NULL;
size_t pub_key_buflen;
OSSL_PARAM_BLD *tmpl;
OSSL_PARAM *params = NULL;
const BIGNUM *priv_key = NULL;
const EC_POINT *pub_point = NULL;
int selection = 0;
int rv = 0;
BN_CTX *bnctx = NULL;
if (from == NULL
|| (eckey = from->pkey.ec) == NULL
|| (ecg = EC_KEY_get0_group(eckey)) == NULL)
return 0;
tmpl = OSSL_PARAM_BLD_new();
if (tmpl == NULL)
return 0;
/*
* EC_POINT_point2buf() can generate random numbers in some
* implementations so we need to ensure we use the correct libctx.
*/
bnctx = BN_CTX_new_ex(libctx);
if (bnctx == NULL)
goto err;
BN_CTX_start(bnctx);
/* export the domain parameters */
if (!ossl_ec_group_todata(ecg, tmpl, NULL, libctx, propq, bnctx, &gen_buf))
goto err;
selection |= OSSL_KEYMGMT_SELECT_DOMAIN_PARAMETERS;
priv_key = EC_KEY_get0_private_key(eckey);
pub_point = EC_KEY_get0_public_key(eckey);
if (pub_point != NULL) {
/* convert pub_point to a octet string according to the SECG standard */
point_conversion_form_t format = EC_KEY_get_conv_form(eckey);
if ((pub_key_buflen = EC_POINT_point2buf(ecg, pub_point,
format,
&pub_key_buf, bnctx)) == 0
|| !OSSL_PARAM_BLD_push_octet_string(tmpl,
OSSL_PKEY_PARAM_PUB_KEY,
pub_key_buf,
pub_key_buflen))
goto err;
selection |= OSSL_KEYMGMT_SELECT_PUBLIC_KEY;
}
if (priv_key != NULL) {
size_t sz;
int ecbits;
int ecdh_cofactor_mode;
/*
* Key import/export should never leak the bit length of the secret
* scalar in the key.
*
* For this reason, on export we use padded BIGNUMs with fixed length.
*
* When importing we also should make sure that, even if short lived,
* the newly created BIGNUM is marked with the BN_FLG_CONSTTIME flag as
* soon as possible, so that any processing of this BIGNUM might opt for
* constant time implementations in the backend.
*
* Setting the BN_FLG_CONSTTIME flag alone is never enough, we also have
* to preallocate the BIGNUM internal buffer to a fixed public size big
* enough that operations performed during the processing never trigger
* a realloc which would leak the size of the scalar through memory
* accesses.
*
* Fixed Length
* ------------
*
* The order of the large prime subgroup of the curve is our choice for
* a fixed public size, as that is generally the upper bound for
* generating a private key in EC cryptosystems and should fit all valid
* secret scalars.
*
* For padding on export we just use the bit length of the order
* converted to bytes (rounding up).
*
* For preallocating the BIGNUM storage we look at the number of "words"
* required for the internal representation of the order, and we
* preallocate 2 extra "words" in case any of the subsequent processing
* might temporarily overflow the order length.
*/
ecbits = EC_GROUP_order_bits(ecg);
if (ecbits <= 0)
goto err;
sz = (ecbits + 7) / 8;
if (!OSSL_PARAM_BLD_push_BN_pad(tmpl,
OSSL_PKEY_PARAM_PRIV_KEY,
priv_key, sz))
goto err;
selection |= OSSL_KEYMGMT_SELECT_PRIVATE_KEY;
/*
* The ECDH Cofactor Mode is defined only if the EC_KEY actually
* contains a private key, so we check for the flag and export it only
* in this case.
*/
ecdh_cofactor_mode =
(EC_KEY_get_flags(eckey) & EC_FLAG_COFACTOR_ECDH) ? 1 : 0;
/* Export the ECDH_COFACTOR_MODE parameter */
if (!OSSL_PARAM_BLD_push_int(tmpl,
OSSL_PKEY_PARAM_USE_COFACTOR_ECDH,
ecdh_cofactor_mode))
goto err;
selection |= OSSL_KEYMGMT_SELECT_OTHER_PARAMETERS;
}
params = OSSL_PARAM_BLD_to_param(tmpl);
/* We export, the provider imports */
rv = importer(to_keydata, selection, params);
err:
OSSL_PARAM_BLD_free(tmpl);
OSSL_PARAM_free(params);
OPENSSL_free(pub_key_buf);
OPENSSL_free(gen_buf);
BN_CTX_end(bnctx);
BN_CTX_free(bnctx);
return rv;
}
static int ec_pkey_import_from(const OSSL_PARAM params[], void *vpctx)
{
EVP_PKEY_CTX *pctx = vpctx;
EVP_PKEY *pkey = EVP_PKEY_CTX_get0_pkey(pctx);
EC_KEY *ec = EC_KEY_new_ex(pctx->libctx, pctx->propquery);
if (ec == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
return 0;
}
if (!ossl_ec_group_fromdata(ec, params)
|| !ossl_ec_key_otherparams_fromdata(ec, params)
|| !ossl_ec_key_fromdata(ec, params, 1)
|| !EVP_PKEY_assign_EC_KEY(pkey, ec)) {
EC_KEY_free(ec);
return 0;
}
return 1;
}
static int ec_pkey_copy(EVP_PKEY *to, EVP_PKEY *from)
{
EC_KEY *eckey = from->pkey.ec;
EC_KEY *dupkey = NULL;
int ret;
if (eckey != NULL) {
dupkey = EC_KEY_dup(eckey);
if (dupkey == NULL)
return 0;
} else {
/* necessary to properly copy empty SM2 keys */
return EVP_PKEY_set_type(to, from->type);
}
ret = EVP_PKEY_assign_EC_KEY(to, dupkey);
if (!ret)
EC_KEY_free(dupkey);
return ret;
}
const EVP_PKEY_ASN1_METHOD ossl_eckey_asn1_meth = {
EVP_PKEY_EC,
EVP_PKEY_EC,
0,
"EC",
"OpenSSL EC algorithm",
eckey_pub_decode,
eckey_pub_encode,
eckey_pub_cmp,
eckey_pub_print,
NULL,
eckey_priv_encode,
eckey_priv_print,
int_ec_size,
ec_bits,
ec_security_bits,
eckey_param_decode,
eckey_param_encode,
ec_missing_parameters,
ec_copy_parameters,
ec_cmp_parameters,
eckey_param_print,
0,
int_ec_free,
ec_pkey_ctrl,
old_ec_priv_decode,
old_ec_priv_encode,
0, 0, 0,
ec_pkey_check,
ec_pkey_public_check,
ec_pkey_param_check,
0, /* set_priv_key */
0, /* set_pub_key */
0, /* get_priv_key */
0, /* get_pub_key */
ec_pkey_dirty_cnt,
ec_pkey_export_to,
ec_pkey_import_from,
ec_pkey_copy,
eckey_priv_decode_ex
};
#if !defined(OPENSSL_NO_SM2)
const EVP_PKEY_ASN1_METHOD ossl_sm2_asn1_meth = {
EVP_PKEY_SM2,
EVP_PKEY_EC,
ASN1_PKEY_ALIAS
};
#endif
int EC_KEY_print(BIO *bp, const EC_KEY *x, int off)
{
int private = EC_KEY_get0_private_key(x) != NULL;
return do_EC_KEY_print(bp, x, off,
private ? EC_KEY_PRINT_PRIVATE : EC_KEY_PRINT_PUBLIC);
}
int ECParameters_print(BIO *bp, const EC_KEY *x)
{
return do_EC_KEY_print(bp, x, 4, EC_KEY_PRINT_PARAM);
}
|
./openssl/crypto/ec/ecdsa_sign.c | /*
* Copyright 2015-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <openssl/ec.h>
#include "ec_local.h"
#include <openssl/err.h>
ECDSA_SIG *ECDSA_do_sign(const unsigned char *dgst, int dlen, EC_KEY *eckey)
{
return ECDSA_do_sign_ex(dgst, dlen, NULL, NULL, eckey);
}
ECDSA_SIG *ECDSA_do_sign_ex(const unsigned char *dgst, int dlen,
const BIGNUM *kinv, const BIGNUM *rp,
EC_KEY *eckey)
{
if (eckey->meth->sign_sig != NULL)
return eckey->meth->sign_sig(dgst, dlen, kinv, rp, eckey);
ERR_raise(ERR_LIB_EC, EC_R_OPERATION_NOT_SUPPORTED);
return NULL;
}
int ECDSA_sign(int type, const unsigned char *dgst, int dlen, unsigned char
*sig, unsigned int *siglen, EC_KEY *eckey)
{
return ECDSA_sign_ex(type, dgst, dlen, sig, siglen, NULL, NULL, eckey);
}
int ECDSA_sign_ex(int type, const unsigned char *dgst, int dlen,
unsigned char *sig, unsigned int *siglen, const BIGNUM *kinv,
const BIGNUM *r, EC_KEY *eckey)
{
if (eckey->meth->sign != NULL)
return eckey->meth->sign(type, dgst, dlen, sig, siglen, kinv, r, eckey);
ERR_raise(ERR_LIB_EC, EC_R_OPERATION_NOT_SUPPORTED);
return 0;
}
int ECDSA_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
BIGNUM **rp)
{
if (eckey->meth->sign_setup != NULL)
return eckey->meth->sign_setup(eckey, ctx_in, kinvp, rp);
ERR_raise(ERR_LIB_EC, EC_R_OPERATION_NOT_SUPPORTED);
return 0;
}
|
./openssl/crypto/ec/ecdsa_ossl.c | /*
* Copyright 2002-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <string.h>
#include <openssl/err.h>
#include <openssl/obj_mac.h>
#include <openssl/rand.h>
#include "crypto/bn.h"
#include "ec_local.h"
#include "internal/deterministic_nonce.h"
#define MIN_ECDSA_SIGN_ORDERBITS 64
/*
* It is highly unlikely that a retry will happen,
* Multiple retries would indicate that something is wrong
* with the group parameters (which would normally only happen
* with a bad custom group).
*/
#define MAX_ECDSA_SIGN_RETRIES 8
static int ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in,
BIGNUM **kinvp, BIGNUM **rp,
const unsigned char *dgst, int dlen,
unsigned int nonce_type, const char *digestname,
OSSL_LIB_CTX *libctx, const char *propq);
int ossl_ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
BIGNUM **rp)
{
if (eckey->group->meth->ecdsa_sign_setup == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_CURVE_DOES_NOT_SUPPORT_ECDSA);
return 0;
}
return eckey->group->meth->ecdsa_sign_setup(eckey, ctx_in, kinvp, rp);
}
ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len,
const BIGNUM *in_kinv, const BIGNUM *in_r,
EC_KEY *eckey)
{
if (eckey->group->meth->ecdsa_sign_sig == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_CURVE_DOES_NOT_SUPPORT_ECDSA);
return NULL;
}
return eckey->group->meth->ecdsa_sign_sig(dgst, dgst_len,
in_kinv, in_r, eckey);
}
int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len,
const ECDSA_SIG *sig, EC_KEY *eckey)
{
if (eckey->group->meth->ecdsa_verify_sig == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_CURVE_DOES_NOT_SUPPORT_ECDSA);
return 0;
}
return eckey->group->meth->ecdsa_verify_sig(dgst, dgst_len, sig, eckey);
}
int ossl_ecdsa_sign(int type, const unsigned char *dgst, int dlen,
unsigned char *sig, unsigned int *siglen,
const BIGNUM *kinv, const BIGNUM *r, EC_KEY *eckey)
{
ECDSA_SIG *s;
s = ECDSA_do_sign_ex(dgst, dlen, kinv, r, eckey);
if (s == NULL) {
*siglen = 0;
return 0;
}
*siglen = i2d_ECDSA_SIG(s, sig != NULL ? &sig : NULL);
ECDSA_SIG_free(s);
return 1;
}
int ossl_ecdsa_deterministic_sign(const unsigned char *dgst, int dlen,
unsigned char *sig, unsigned int *siglen,
EC_KEY *eckey, unsigned int nonce_type,
const char *digestname,
OSSL_LIB_CTX *libctx, const char *propq)
{
ECDSA_SIG *s;
BIGNUM *kinv = NULL, *r = NULL;
int ret = 0;
*siglen = 0;
if (!ecdsa_sign_setup(eckey, NULL, &kinv, &r, dgst, dlen,
nonce_type, digestname, libctx, propq))
return 0;
s = ECDSA_do_sign_ex(dgst, dlen, kinv, r, eckey);
if (s == NULL)
goto end;
*siglen = i2d_ECDSA_SIG(s, sig != NULL ? &sig : NULL);
ECDSA_SIG_free(s);
ret = 1;
end:
BN_clear_free(kinv);
BN_clear_free(r);
return ret;
}
static int ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in,
BIGNUM **kinvp, BIGNUM **rp,
const unsigned char *dgst, int dlen,
unsigned int nonce_type, const char *digestname,
OSSL_LIB_CTX *libctx, const char *propq)
{
BN_CTX *ctx = NULL;
BIGNUM *k = NULL, *r = NULL, *X = NULL;
const BIGNUM *order;
EC_POINT *tmp_point = NULL;
const EC_GROUP *group;
int ret = 0;
int order_bits;
const BIGNUM *priv_key;
if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if ((priv_key = EC_KEY_get0_private_key(eckey)) == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_MISSING_PRIVATE_KEY);
return 0;
}
if (!EC_KEY_can_sign(eckey)) {
ERR_raise(ERR_LIB_EC, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING);
return 0;
}
if ((ctx = ctx_in) == NULL) {
if ((ctx = BN_CTX_new_ex(eckey->libctx)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return 0;
}
}
k = BN_secure_new(); /* this value is later returned in *kinvp */
r = BN_new(); /* this value is later returned in *rp */
X = BN_new();
if (k == NULL || r == NULL || X == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if ((tmp_point = EC_POINT_new(group)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
order = EC_GROUP_get0_order(group);
/* Preallocate space */
order_bits = BN_num_bits(order);
/* Check the number of bits here so that an infinite loop is not possible */
if (order_bits < MIN_ECDSA_SIGN_ORDERBITS
|| !BN_set_bit(k, order_bits)
|| !BN_set_bit(r, order_bits)
|| !BN_set_bit(X, order_bits))
goto err;
do {
/* get random or deterministic value of k */
do {
int res = 0;
if (dgst != NULL) {
if (nonce_type == 1) {
#ifndef FIPS_MODULE
res = ossl_gen_deterministic_nonce_rfc6979(k, order,
priv_key,
dgst, dlen,
digestname,
libctx, propq);
#endif
} else {
res = BN_generate_dsa_nonce(k, order, priv_key, dgst, dlen,
ctx);
}
} else {
res = BN_priv_rand_range_ex(k, order, 0, ctx);
}
if (!res) {
ERR_raise(ERR_LIB_EC, EC_R_RANDOM_NUMBER_GENERATION_FAILED);
goto err;
}
} while (BN_is_zero(k));
/* compute r the x-coordinate of generator * k */
if (!EC_POINT_mul(group, tmp_point, k, NULL, NULL, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (!EC_POINT_get_affine_coordinates(group, tmp_point, X, NULL, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (!BN_nnmod(r, X, order, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
} while (BN_is_zero(r));
/* compute the inverse of k */
if (!ossl_ec_group_do_inverse_ord(group, k, k, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* clear old values if necessary */
BN_clear_free(*rp);
BN_clear_free(*kinvp);
/* save the pre-computed values */
*rp = r;
*kinvp = k;
ret = 1;
err:
if (!ret) {
BN_clear_free(k);
BN_clear_free(r);
}
if (ctx != ctx_in)
BN_CTX_free(ctx);
EC_POINT_free(tmp_point);
BN_clear_free(X);
return ret;
}
int ossl_ecdsa_simple_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
BIGNUM **rp)
{
return ecdsa_sign_setup(eckey, ctx_in, kinvp, rp, NULL, 0,
0, NULL, NULL, NULL);
}
ECDSA_SIG *ossl_ecdsa_simple_sign_sig(const unsigned char *dgst, int dgst_len,
const BIGNUM *in_kinv, const BIGNUM *in_r,
EC_KEY *eckey)
{
int ok = 0, i;
int retries = 0;
BIGNUM *kinv = NULL, *s, *m = NULL;
const BIGNUM *order, *ckinv;
BN_CTX *ctx = NULL;
const EC_GROUP *group;
ECDSA_SIG *ret;
const BIGNUM *priv_key;
group = EC_KEY_get0_group(eckey);
priv_key = EC_KEY_get0_private_key(eckey);
if (group == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return NULL;
}
if (priv_key == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_MISSING_PRIVATE_KEY);
return NULL;
}
if (!EC_KEY_can_sign(eckey)) {
ERR_raise(ERR_LIB_EC, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING);
return NULL;
}
ret = ECDSA_SIG_new();
if (ret == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_ECDSA_LIB);
return NULL;
}
ret->r = BN_new();
ret->s = BN_new();
if (ret->r == NULL || ret->s == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
s = ret->s;
if ((ctx = BN_CTX_new_ex(eckey->libctx)) == NULL
|| (m = BN_new()) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
order = EC_GROUP_get0_order(group);
i = BN_num_bits(order);
/*
* Need to truncate digest if it is too long: first truncate whole bytes.
*/
if (8 * dgst_len > i)
dgst_len = (i + 7) / 8;
if (!BN_bin2bn(dgst, dgst_len, m)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* If still too long, truncate remaining bits with a shift */
if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7))) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
do {
if (in_kinv == NULL || in_r == NULL) {
if (!ecdsa_sign_setup(eckey, ctx, &kinv, &ret->r, dgst, dgst_len,
0, NULL, NULL, NULL)) {
ERR_raise(ERR_LIB_EC, ERR_R_ECDSA_LIB);
goto err;
}
ckinv = kinv;
} else {
ckinv = in_kinv;
if (BN_copy(ret->r, in_r) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
}
/*
* With only one multiplicant being in Montgomery domain
* multiplication yields real result without post-conversion.
* Also note that all operations but last are performed with
* zero-padded vectors. Last operation, BN_mod_mul_montgomery
* below, returns user-visible value with removed zero padding.
*/
if (!bn_to_mont_fixed_top(s, ret->r, group->mont_data, ctx)
|| !bn_mul_mont_fixed_top(s, s, priv_key, group->mont_data, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if (!bn_mod_add_fixed_top(s, s, m, order)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/*
* |s| can still be larger than modulus, because |m| can be. In
* such case we count on Montgomery reduction to tie it up.
*/
if (!bn_to_mont_fixed_top(s, s, group->mont_data, ctx)
|| !BN_mod_mul_montgomery(s, s, ckinv, group->mont_data, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if (BN_is_zero(s)) {
/*
* if kinv and r have been supplied by the caller, don't
* generate new kinv and r values
*/
if (in_kinv != NULL && in_r != NULL) {
ERR_raise(ERR_LIB_EC, EC_R_NEED_NEW_SETUP_VALUES);
goto err;
}
/* Avoid infinite loops cause by invalid group parameters */
if (retries++ > MAX_ECDSA_SIGN_RETRIES) {
ERR_raise(ERR_LIB_EC, EC_R_TOO_MANY_RETRIES);
goto err;
}
} else {
/* s != 0 => we have a valid signature */
break;
}
} while (1);
ok = 1;
err:
if (!ok) {
ECDSA_SIG_free(ret);
ret = NULL;
}
BN_CTX_free(ctx);
BN_clear_free(m);
BN_clear_free(kinv);
return ret;
}
/*-
* returns
* 1: correct signature
* 0: incorrect signature
* -1: error
*/
int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len,
const unsigned char *sigbuf, int sig_len, EC_KEY *eckey)
{
ECDSA_SIG *s;
const unsigned char *p = sigbuf;
unsigned char *der = NULL;
int derlen = -1;
int ret = -1;
s = ECDSA_SIG_new();
if (s == NULL)
return ret;
if (d2i_ECDSA_SIG(&s, &p, sig_len) == NULL)
goto err;
/* Ensure signature uses DER and doesn't have trailing garbage */
derlen = i2d_ECDSA_SIG(s, &der);
if (derlen != sig_len || memcmp(sigbuf, der, derlen) != 0)
goto err;
ret = ECDSA_do_verify(dgst, dgst_len, s, eckey);
err:
OPENSSL_free(der);
ECDSA_SIG_free(s);
return ret;
}
int ossl_ecdsa_simple_verify_sig(const unsigned char *dgst, int dgst_len,
const ECDSA_SIG *sig, EC_KEY *eckey)
{
int ret = -1, i;
BN_CTX *ctx;
const BIGNUM *order;
BIGNUM *u1, *u2, *m, *X;
EC_POINT *point = NULL;
const EC_GROUP *group;
const EC_POINT *pub_key;
/* check input values */
if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL ||
(pub_key = EC_KEY_get0_public_key(eckey)) == NULL || sig == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_MISSING_PARAMETERS);
return -1;
}
if (!EC_KEY_can_sign(eckey)) {
ERR_raise(ERR_LIB_EC, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING);
return -1;
}
ctx = BN_CTX_new_ex(eckey->libctx);
if (ctx == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return -1;
}
BN_CTX_start(ctx);
u1 = BN_CTX_get(ctx);
u2 = BN_CTX_get(ctx);
m = BN_CTX_get(ctx);
X = BN_CTX_get(ctx);
if (X == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
order = EC_GROUP_get0_order(group);
if (order == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (BN_is_zero(sig->r) || BN_is_negative(sig->r) ||
BN_ucmp(sig->r, order) >= 0 || BN_is_zero(sig->s) ||
BN_is_negative(sig->s) || BN_ucmp(sig->s, order) >= 0) {
ERR_raise(ERR_LIB_EC, EC_R_BAD_SIGNATURE);
ret = 0; /* signature is invalid */
goto err;
}
/* calculate tmp1 = inv(S) mod order */
if (!ossl_ec_group_do_inverse_ord(group, u2, sig->s, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* digest -> m */
i = BN_num_bits(order);
/*
* Need to truncate digest if it is too long: first truncate whole bytes.
*/
if (8 * dgst_len > i)
dgst_len = (i + 7) / 8;
if (!BN_bin2bn(dgst, dgst_len, m)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* If still too long truncate remaining bits with a shift */
if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7))) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* u1 = m * tmp mod order */
if (!BN_mod_mul(u1, m, u2, order, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* u2 = r * w mod q */
if (!BN_mod_mul(u2, sig->r, u2, order, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if ((point = EC_POINT_new(group)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (!EC_POINT_mul(group, point, u1, pub_key, u2, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (!EC_POINT_get_affine_coordinates(group, point, X, NULL, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (!BN_nnmod(u1, X, order, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* if the signature is correct u1 is equal to sig->r */
ret = (BN_ucmp(u1, sig->r) == 0);
err:
BN_CTX_end(ctx);
BN_CTX_free(ctx);
EC_POINT_free(point);
return ret;
}
|
./openssl/crypto/ec/ecp_nist.c | /*
* Copyright 2001-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <limits.h>
#include <openssl/err.h>
#include <openssl/obj_mac.h>
#include "ec_local.h"
const EC_METHOD *EC_GFp_nist_method(void)
{
static const EC_METHOD ret = {
EC_FLAGS_DEFAULT_OCT,
NID_X9_62_prime_field,
ossl_ec_GFp_simple_group_init,
ossl_ec_GFp_simple_group_finish,
ossl_ec_GFp_simple_group_clear_finish,
ossl_ec_GFp_nist_group_copy,
ossl_ec_GFp_nist_group_set_curve,
ossl_ec_GFp_simple_group_get_curve,
ossl_ec_GFp_simple_group_get_degree,
ossl_ec_group_simple_order_bits,
ossl_ec_GFp_simple_group_check_discriminant,
ossl_ec_GFp_simple_point_init,
ossl_ec_GFp_simple_point_finish,
ossl_ec_GFp_simple_point_clear_finish,
ossl_ec_GFp_simple_point_copy,
ossl_ec_GFp_simple_point_set_to_infinity,
ossl_ec_GFp_simple_point_set_affine_coordinates,
ossl_ec_GFp_simple_point_get_affine_coordinates,
0, 0, 0,
ossl_ec_GFp_simple_add,
ossl_ec_GFp_simple_dbl,
ossl_ec_GFp_simple_invert,
ossl_ec_GFp_simple_is_at_infinity,
ossl_ec_GFp_simple_is_on_curve,
ossl_ec_GFp_simple_cmp,
ossl_ec_GFp_simple_make_affine,
ossl_ec_GFp_simple_points_make_affine,
0 /* mul */ ,
0 /* precompute_mult */ ,
0 /* have_precompute_mult */ ,
ossl_ec_GFp_nist_field_mul,
ossl_ec_GFp_nist_field_sqr,
0 /* field_div */ ,
ossl_ec_GFp_simple_field_inv,
0 /* field_encode */ ,
0 /* field_decode */ ,
0, /* field_set_to_one */
ossl_ec_key_simple_priv2oct,
ossl_ec_key_simple_oct2priv,
0, /* set private */
ossl_ec_key_simple_generate_key,
ossl_ec_key_simple_check_key,
ossl_ec_key_simple_generate_public_key,
0, /* keycopy */
0, /* keyfinish */
ossl_ecdh_simple_compute_key,
ossl_ecdsa_simple_sign_setup,
ossl_ecdsa_simple_sign_sig,
ossl_ecdsa_simple_verify_sig,
0, /* field_inverse_mod_ord */
ossl_ec_GFp_simple_blind_coordinates,
ossl_ec_GFp_simple_ladder_pre,
ossl_ec_GFp_simple_ladder_step,
ossl_ec_GFp_simple_ladder_post
};
return &ret;
}
int ossl_ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src)
{
dest->field_mod_func = src->field_mod_func;
return ossl_ec_GFp_simple_group_copy(dest, src);
}
int ossl_ec_GFp_nist_group_set_curve(EC_GROUP *group, const BIGNUM *p,
const BIGNUM *a, const BIGNUM *b,
BN_CTX *ctx)
{
int ret = 0;
BN_CTX *new_ctx = NULL;
if (ctx == NULL)
if ((ctx = new_ctx = BN_CTX_new_ex(group->libctx)) == NULL)
return 0;
BN_CTX_start(ctx);
if (BN_ucmp(BN_get0_nist_prime_192(), p) == 0)
group->field_mod_func = BN_nist_mod_192;
else if (BN_ucmp(BN_get0_nist_prime_224(), p) == 0)
group->field_mod_func = BN_nist_mod_224;
else if (BN_ucmp(BN_get0_nist_prime_256(), p) == 0)
group->field_mod_func = BN_nist_mod_256;
else if (BN_ucmp(BN_get0_nist_prime_384(), p) == 0)
group->field_mod_func = BN_nist_mod_384;
else if (BN_ucmp(BN_get0_nist_prime_521(), p) == 0)
group->field_mod_func = BN_nist_mod_521;
else {
ERR_raise(ERR_LIB_EC, EC_R_NOT_A_NIST_PRIME);
goto err;
}
ret = ossl_ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
err:
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return ret;
}
int ossl_ec_GFp_nist_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx)
{
int ret = 0;
BN_CTX *ctx_new = NULL;
if (!group || !r || !a || !b) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
goto err;
}
if (!ctx)
if ((ctx_new = ctx = BN_CTX_new_ex(group->libctx)) == NULL)
goto err;
if (!BN_mul(r, a, b, ctx))
goto err;
if (!group->field_mod_func(r, r, group->field, ctx))
goto err;
ret = 1;
err:
BN_CTX_free(ctx_new);
return ret;
}
int ossl_ec_GFp_nist_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
BN_CTX *ctx)
{
int ret = 0;
BN_CTX *ctx_new = NULL;
if (!group || !r || !a) {
ERR_raise(ERR_LIB_EC, EC_R_PASSED_NULL_PARAMETER);
goto err;
}
if (!ctx)
if ((ctx_new = ctx = BN_CTX_new_ex(group->libctx)) == NULL)
goto err;
if (!BN_sqr(r, a, ctx))
goto err;
if (!group->field_mod_func(r, r, group->field, ctx))
goto err;
ret = 1;
err:
BN_CTX_free(ctx_new);
return ret;
}
|
./openssl/crypto/ec/ecx_key.c | /*
* Copyright 2020-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <string.h>
#include <openssl/err.h>
#include <openssl/proverr.h>
#include "crypto/ecx.h"
#include "internal/common.h" /* for ossl_assert() */
#ifdef S390X_EC_ASM
# include "s390x_arch.h"
#endif
ECX_KEY *ossl_ecx_key_new(OSSL_LIB_CTX *libctx, ECX_KEY_TYPE type, int haspubkey,
const char *propq)
{
ECX_KEY *ret = OPENSSL_zalloc(sizeof(*ret));
if (ret == NULL)
return NULL;
ret->libctx = libctx;
ret->haspubkey = haspubkey;
switch (type) {
case ECX_KEY_TYPE_X25519:
ret->keylen = X25519_KEYLEN;
break;
case ECX_KEY_TYPE_X448:
ret->keylen = X448_KEYLEN;
break;
case ECX_KEY_TYPE_ED25519:
ret->keylen = ED25519_KEYLEN;
break;
case ECX_KEY_TYPE_ED448:
ret->keylen = ED448_KEYLEN;
break;
}
ret->type = type;
if (!CRYPTO_NEW_REF(&ret->references, 1))
goto err;
if (propq != NULL) {
ret->propq = OPENSSL_strdup(propq);
if (ret->propq == NULL)
goto err;
}
return ret;
err:
if (ret != NULL) {
OPENSSL_free(ret->propq);
CRYPTO_FREE_REF(&ret->references);
}
OPENSSL_free(ret);
return NULL;
}
void ossl_ecx_key_free(ECX_KEY *key)
{
int i;
if (key == NULL)
return;
CRYPTO_DOWN_REF(&key->references, &i);
REF_PRINT_COUNT("ECX_KEY", key);
if (i > 0)
return;
REF_ASSERT_ISNT(i < 0);
OPENSSL_free(key->propq);
OPENSSL_secure_clear_free(key->privkey, key->keylen);
CRYPTO_FREE_REF(&key->references);
OPENSSL_free(key);
}
void ossl_ecx_key_set0_libctx(ECX_KEY *key, OSSL_LIB_CTX *libctx)
{
key->libctx = libctx;
}
int ossl_ecx_key_up_ref(ECX_KEY *key)
{
int i;
if (CRYPTO_UP_REF(&key->references, &i) <= 0)
return 0;
REF_PRINT_COUNT("ECX_KEY", key);
REF_ASSERT_ISNT(i < 2);
return ((i > 1) ? 1 : 0);
}
unsigned char *ossl_ecx_key_allocate_privkey(ECX_KEY *key)
{
key->privkey = OPENSSL_secure_zalloc(key->keylen);
return key->privkey;
}
int ossl_ecx_compute_key(ECX_KEY *peer, ECX_KEY *priv, size_t keylen,
unsigned char *secret, size_t *secretlen, size_t outlen)
{
if (priv == NULL
|| priv->privkey == NULL
|| peer == NULL) {
ERR_raise(ERR_LIB_PROV, PROV_R_MISSING_KEY);
return 0;
}
if (!ossl_assert(keylen == X25519_KEYLEN
|| keylen == X448_KEYLEN)) {
ERR_raise(ERR_LIB_PROV, PROV_R_INVALID_KEY_LENGTH);
return 0;
}
if (secret == NULL) {
*secretlen = keylen;
return 1;
}
if (outlen < keylen) {
ERR_raise(ERR_LIB_PROV, PROV_R_OUTPUT_BUFFER_TOO_SMALL);
return 0;
}
if (keylen == X25519_KEYLEN) {
#ifdef S390X_EC_ASM
if (OPENSSL_s390xcap_P.pcc[1]
& S390X_CAPBIT(S390X_SCALAR_MULTIPLY_X25519)) {
if (s390x_x25519_mul(secret, peer->pubkey, priv->privkey) == 0) {
ERR_raise(ERR_LIB_PROV, PROV_R_FAILED_DURING_DERIVATION);
return 0;
}
} else
#endif
if (ossl_x25519(secret, priv->privkey, peer->pubkey) == 0) {
ERR_raise(ERR_LIB_PROV, PROV_R_FAILED_DURING_DERIVATION);
return 0;
}
} else {
#ifdef S390X_EC_ASM
if (OPENSSL_s390xcap_P.pcc[1]
& S390X_CAPBIT(S390X_SCALAR_MULTIPLY_X448)) {
if (s390x_x448_mul(secret, peer->pubkey, priv->privkey) == 0) {
ERR_raise(ERR_LIB_PROV, PROV_R_FAILED_DURING_DERIVATION);
return 0;
}
} else
#endif
if (ossl_x448(secret, priv->privkey, peer->pubkey) == 0) {
ERR_raise(ERR_LIB_PROV, PROV_R_FAILED_DURING_DERIVATION);
return 0;
}
}
*secretlen = keylen;
return 1;
}
|
./openssl/crypto/ec/ecdsa_vrf.c | /*
* Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <openssl/ec.h>
#include "ec_local.h"
#include <openssl/err.h>
/*-
* returns
* 1: correct signature
* 0: incorrect signature
* -1: error
*/
int ECDSA_do_verify(const unsigned char *dgst, int dgst_len,
const ECDSA_SIG *sig, EC_KEY *eckey)
{
if (eckey->meth->verify_sig != NULL)
return eckey->meth->verify_sig(dgst, dgst_len, sig, eckey);
ERR_raise(ERR_LIB_EC, EC_R_OPERATION_NOT_SUPPORTED);
return -1;
}
/*-
* returns
* 1: correct signature
* 0: incorrect signature
* -1: error
*/
int ECDSA_verify(int type, const unsigned char *dgst, int dgst_len,
const unsigned char *sigbuf, int sig_len, EC_KEY *eckey)
{
if (eckey->meth->verify != NULL)
return eckey->meth->verify(type, dgst, dgst_len, sigbuf, sig_len,
eckey);
ERR_raise(ERR_LIB_EC, EC_R_OPERATION_NOT_SUPPORTED);
return -1;
}
|
./openssl/crypto/ec/ecp_mont.c | /*
* Copyright 2001-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low-level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <openssl/err.h>
#include "ec_local.h"
const EC_METHOD *EC_GFp_mont_method(void)
{
static const EC_METHOD ret = {
EC_FLAGS_DEFAULT_OCT,
NID_X9_62_prime_field,
ossl_ec_GFp_mont_group_init,
ossl_ec_GFp_mont_group_finish,
ossl_ec_GFp_mont_group_clear_finish,
ossl_ec_GFp_mont_group_copy,
ossl_ec_GFp_mont_group_set_curve,
ossl_ec_GFp_simple_group_get_curve,
ossl_ec_GFp_simple_group_get_degree,
ossl_ec_group_simple_order_bits,
ossl_ec_GFp_simple_group_check_discriminant,
ossl_ec_GFp_simple_point_init,
ossl_ec_GFp_simple_point_finish,
ossl_ec_GFp_simple_point_clear_finish,
ossl_ec_GFp_simple_point_copy,
ossl_ec_GFp_simple_point_set_to_infinity,
ossl_ec_GFp_simple_point_set_affine_coordinates,
ossl_ec_GFp_simple_point_get_affine_coordinates,
0, 0, 0,
ossl_ec_GFp_simple_add,
ossl_ec_GFp_simple_dbl,
ossl_ec_GFp_simple_invert,
ossl_ec_GFp_simple_is_at_infinity,
ossl_ec_GFp_simple_is_on_curve,
ossl_ec_GFp_simple_cmp,
ossl_ec_GFp_simple_make_affine,
ossl_ec_GFp_simple_points_make_affine,
0 /* mul */ ,
0 /* precompute_mult */ ,
0 /* have_precompute_mult */ ,
ossl_ec_GFp_mont_field_mul,
ossl_ec_GFp_mont_field_sqr,
0 /* field_div */ ,
ossl_ec_GFp_mont_field_inv,
ossl_ec_GFp_mont_field_encode,
ossl_ec_GFp_mont_field_decode,
ossl_ec_GFp_mont_field_set_to_one,
ossl_ec_key_simple_priv2oct,
ossl_ec_key_simple_oct2priv,
0, /* set private */
ossl_ec_key_simple_generate_key,
ossl_ec_key_simple_check_key,
ossl_ec_key_simple_generate_public_key,
0, /* keycopy */
0, /* keyfinish */
ossl_ecdh_simple_compute_key,
ossl_ecdsa_simple_sign_setup,
ossl_ecdsa_simple_sign_sig,
ossl_ecdsa_simple_verify_sig,
0, /* field_inverse_mod_ord */
ossl_ec_GFp_simple_blind_coordinates,
ossl_ec_GFp_simple_ladder_pre,
ossl_ec_GFp_simple_ladder_step,
ossl_ec_GFp_simple_ladder_post
};
return &ret;
}
int ossl_ec_GFp_mont_group_init(EC_GROUP *group)
{
int ok;
ok = ossl_ec_GFp_simple_group_init(group);
group->field_data1 = NULL;
group->field_data2 = NULL;
return ok;
}
void ossl_ec_GFp_mont_group_finish(EC_GROUP *group)
{
BN_MONT_CTX_free(group->field_data1);
group->field_data1 = NULL;
BN_free(group->field_data2);
group->field_data2 = NULL;
ossl_ec_GFp_simple_group_finish(group);
}
void ossl_ec_GFp_mont_group_clear_finish(EC_GROUP *group)
{
BN_MONT_CTX_free(group->field_data1);
group->field_data1 = NULL;
BN_clear_free(group->field_data2);
group->field_data2 = NULL;
ossl_ec_GFp_simple_group_clear_finish(group);
}
int ossl_ec_GFp_mont_group_copy(EC_GROUP *dest, const EC_GROUP *src)
{
BN_MONT_CTX_free(dest->field_data1);
dest->field_data1 = NULL;
BN_clear_free(dest->field_data2);
dest->field_data2 = NULL;
if (!ossl_ec_GFp_simple_group_copy(dest, src))
return 0;
if (src->field_data1 != NULL) {
dest->field_data1 = BN_MONT_CTX_new();
if (dest->field_data1 == NULL)
return 0;
if (!BN_MONT_CTX_copy(dest->field_data1, src->field_data1))
goto err;
}
if (src->field_data2 != NULL) {
dest->field_data2 = BN_dup(src->field_data2);
if (dest->field_data2 == NULL)
goto err;
}
return 1;
err:
BN_MONT_CTX_free(dest->field_data1);
dest->field_data1 = NULL;
return 0;
}
int ossl_ec_GFp_mont_group_set_curve(EC_GROUP *group, const BIGNUM *p,
const BIGNUM *a, const BIGNUM *b,
BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
BN_MONT_CTX *mont = NULL;
BIGNUM *one = NULL;
int ret = 0;
BN_MONT_CTX_free(group->field_data1);
group->field_data1 = NULL;
BN_free(group->field_data2);
group->field_data2 = NULL;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
return 0;
}
mont = BN_MONT_CTX_new();
if (mont == NULL)
goto err;
if (!BN_MONT_CTX_set(mont, p, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
one = BN_new();
if (one == NULL)
goto err;
if (!BN_to_montgomery(one, BN_value_one(), mont, ctx))
goto err;
group->field_data1 = mont;
mont = NULL;
group->field_data2 = one;
one = NULL;
ret = ossl_ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
if (!ret) {
BN_MONT_CTX_free(group->field_data1);
group->field_data1 = NULL;
BN_free(group->field_data2);
group->field_data2 = NULL;
}
err:
BN_free(one);
BN_CTX_free(new_ctx);
BN_MONT_CTX_free(mont);
return ret;
}
int ossl_ec_GFp_mont_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx)
{
if (group->field_data1 == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_NOT_INITIALIZED);
return 0;
}
return BN_mod_mul_montgomery(r, a, b, group->field_data1, ctx);
}
int ossl_ec_GFp_mont_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
BN_CTX *ctx)
{
if (group->field_data1 == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_NOT_INITIALIZED);
return 0;
}
return BN_mod_mul_montgomery(r, a, a, group->field_data1, ctx);
}
/*-
* Computes the multiplicative inverse of a in GF(p), storing the result in r.
* If a is zero (or equivalent), you'll get an EC_R_CANNOT_INVERT error.
* We have a Mont structure, so SCA hardening is FLT inversion.
*/
int ossl_ec_GFp_mont_field_inv(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
BN_CTX *ctx)
{
BIGNUM *e = NULL;
BN_CTX *new_ctx = NULL;
int ret = 0;
if (group->field_data1 == NULL)
return 0;
if (ctx == NULL
&& (ctx = new_ctx = BN_CTX_secure_new_ex(group->libctx)) == NULL)
return 0;
BN_CTX_start(ctx);
if ((e = BN_CTX_get(ctx)) == NULL)
goto err;
/* Inverse in constant time with Fermats Little Theorem */
if (!BN_set_word(e, 2))
goto err;
if (!BN_sub(e, group->field, e))
goto err;
/*-
* Exponent e is public.
* No need for scatter-gather or BN_FLG_CONSTTIME.
*/
if (!BN_mod_exp_mont(r, a, e, group->field, ctx, group->field_data1))
goto err;
/* throw an error on zero */
if (BN_is_zero(r)) {
ERR_raise(ERR_LIB_EC, EC_R_CANNOT_INVERT);
goto err;
}
ret = 1;
err:
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return ret;
}
int ossl_ec_GFp_mont_field_encode(const EC_GROUP *group, BIGNUM *r,
const BIGNUM *a, BN_CTX *ctx)
{
if (group->field_data1 == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_NOT_INITIALIZED);
return 0;
}
return BN_to_montgomery(r, a, (BN_MONT_CTX *)group->field_data1, ctx);
}
int ossl_ec_GFp_mont_field_decode(const EC_GROUP *group, BIGNUM *r,
const BIGNUM *a, BN_CTX *ctx)
{
if (group->field_data1 == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_NOT_INITIALIZED);
return 0;
}
return BN_from_montgomery(r, a, group->field_data1, ctx);
}
int ossl_ec_GFp_mont_field_set_to_one(const EC_GROUP *group, BIGNUM *r,
BN_CTX *ctx)
{
if (group->field_data2 == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_NOT_INITIALIZED);
return 0;
}
if (!BN_copy(r, group->field_data2))
return 0;
return 1;
}
|
./openssl/crypto/ec/ecp_nistp256.c | /*
* Copyright 2011-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/* Copyright 2011 Google Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
*
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
/*
* A 64-bit implementation of the NIST P-256 elliptic curve point multiplication
*
* OpenSSL integration was taken from Emilia Kasper's work in ecp_nistp224.c.
* Otherwise based on Emilia's P224 work, which was inspired by my curve25519
* work which got its smarts from Daniel J. Bernstein's work on the same.
*/
#include <openssl/opensslconf.h>
#include <stdint.h>
#include <string.h>
#include <openssl/err.h>
#include "ec_local.h"
#include "internal/numbers.h"
#ifndef INT128_MAX
# error "Your compiler doesn't appear to support 128-bit integer types"
#endif
typedef uint8_t u8;
typedef uint32_t u32;
typedef uint64_t u64;
/*
* The underlying field. P256 operates over GF(2^256-2^224+2^192+2^96-1). We
* can serialize an element of this field into 32 bytes. We call this an
* felem_bytearray.
*/
typedef u8 felem_bytearray[32];
/*
* These are the parameters of P256, taken from FIPS 186-3, page 86. These
* values are big-endian.
*/
static const felem_bytearray nistp256_curve_params[5] = {
{0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01, /* p */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff},
{0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01, /* a = -3 */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfc},
{0x5a, 0xc6, 0x35, 0xd8, 0xaa, 0x3a, 0x93, 0xe7, /* b */
0xb3, 0xeb, 0xbd, 0x55, 0x76, 0x98, 0x86, 0xbc,
0x65, 0x1d, 0x06, 0xb0, 0xcc, 0x53, 0xb0, 0xf6,
0x3b, 0xce, 0x3c, 0x3e, 0x27, 0xd2, 0x60, 0x4b},
{0x6b, 0x17, 0xd1, 0xf2, 0xe1, 0x2c, 0x42, 0x47, /* x */
0xf8, 0xbc, 0xe6, 0xe5, 0x63, 0xa4, 0x40, 0xf2,
0x77, 0x03, 0x7d, 0x81, 0x2d, 0xeb, 0x33, 0xa0,
0xf4, 0xa1, 0x39, 0x45, 0xd8, 0x98, 0xc2, 0x96},
{0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b, /* y */
0x8e, 0xe7, 0xeb, 0x4a, 0x7c, 0x0f, 0x9e, 0x16,
0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce,
0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf5}
};
/*-
* The representation of field elements.
* ------------------------------------
*
* We represent field elements with either four 128-bit values, eight 128-bit
* values, or four 64-bit values. The field element represented is:
* v[0]*2^0 + v[1]*2^64 + v[2]*2^128 + v[3]*2^192 (mod p)
* or:
* v[0]*2^0 + v[1]*2^64 + v[2]*2^128 + ... + v[7]*2^448 (mod p)
*
* 128-bit values are called 'limbs'. Since the limbs are spaced only 64 bits
* apart, but are 128-bits wide, the most significant bits of each limb overlap
* with the least significant bits of the next.
*
* A field element with four limbs is an 'felem'. One with eight limbs is a
* 'longfelem'
*
* A field element with four, 64-bit values is called a 'smallfelem'. Small
* values are used as intermediate values before multiplication.
*/
#define NLIMBS 4
typedef uint128_t limb;
typedef limb felem[NLIMBS];
typedef limb longfelem[NLIMBS * 2];
typedef u64 smallfelem[NLIMBS];
/* This is the value of the prime as four 64-bit words, little-endian. */
static const u64 kPrime[4] =
{ 0xfffffffffffffffful, 0xffffffff, 0, 0xffffffff00000001ul };
static const u64 bottom63bits = 0x7ffffffffffffffful;
/*
* bin32_to_felem takes a little-endian byte array and converts it into felem
* form. This assumes that the CPU is little-endian.
*/
static void bin32_to_felem(felem out, const u8 in[32])
{
out[0] = *((u64 *)&in[0]);
out[1] = *((u64 *)&in[8]);
out[2] = *((u64 *)&in[16]);
out[3] = *((u64 *)&in[24]);
}
/*
* smallfelem_to_bin32 takes a smallfelem and serializes into a little
* endian, 32 byte array. This assumes that the CPU is little-endian.
*/
static void smallfelem_to_bin32(u8 out[32], const smallfelem in)
{
*((u64 *)&out[0]) = in[0];
*((u64 *)&out[8]) = in[1];
*((u64 *)&out[16]) = in[2];
*((u64 *)&out[24]) = in[3];
}
/* BN_to_felem converts an OpenSSL BIGNUM into an felem */
static int BN_to_felem(felem out, const BIGNUM *bn)
{
felem_bytearray b_out;
int num_bytes;
if (BN_is_negative(bn)) {
ERR_raise(ERR_LIB_EC, EC_R_BIGNUM_OUT_OF_RANGE);
return 0;
}
num_bytes = BN_bn2lebinpad(bn, b_out, sizeof(b_out));
if (num_bytes < 0) {
ERR_raise(ERR_LIB_EC, EC_R_BIGNUM_OUT_OF_RANGE);
return 0;
}
bin32_to_felem(out, b_out);
return 1;
}
/* felem_to_BN converts an felem into an OpenSSL BIGNUM */
static BIGNUM *smallfelem_to_BN(BIGNUM *out, const smallfelem in)
{
felem_bytearray b_out;
smallfelem_to_bin32(b_out, in);
return BN_lebin2bn(b_out, sizeof(b_out), out);
}
/*-
* Field operations
* ----------------
*/
static void smallfelem_one(smallfelem out)
{
out[0] = 1;
out[1] = 0;
out[2] = 0;
out[3] = 0;
}
static void smallfelem_assign(smallfelem out, const smallfelem in)
{
out[0] = in[0];
out[1] = in[1];
out[2] = in[2];
out[3] = in[3];
}
static void felem_assign(felem out, const felem in)
{
out[0] = in[0];
out[1] = in[1];
out[2] = in[2];
out[3] = in[3];
}
/* felem_sum sets out = out + in. */
static void felem_sum(felem out, const felem in)
{
out[0] += in[0];
out[1] += in[1];
out[2] += in[2];
out[3] += in[3];
}
/* felem_small_sum sets out = out + in. */
static void felem_small_sum(felem out, const smallfelem in)
{
out[0] += in[0];
out[1] += in[1];
out[2] += in[2];
out[3] += in[3];
}
/* felem_scalar sets out = out * scalar */
static void felem_scalar(felem out, const u64 scalar)
{
out[0] *= scalar;
out[1] *= scalar;
out[2] *= scalar;
out[3] *= scalar;
}
/* longfelem_scalar sets out = out * scalar */
static void longfelem_scalar(longfelem out, const u64 scalar)
{
out[0] *= scalar;
out[1] *= scalar;
out[2] *= scalar;
out[3] *= scalar;
out[4] *= scalar;
out[5] *= scalar;
out[6] *= scalar;
out[7] *= scalar;
}
#define two105m41m9 (((limb)1) << 105) - (((limb)1) << 41) - (((limb)1) << 9)
#define two105 (((limb)1) << 105)
#define two105m41p9 (((limb)1) << 105) - (((limb)1) << 41) + (((limb)1) << 9)
/* zero105 is 0 mod p */
static const felem zero105 =
{ two105m41m9, two105, two105m41p9, two105m41p9 };
/*-
* smallfelem_neg sets |out| to |-small|
* On exit:
* out[i] < out[i] + 2^105
*/
static void smallfelem_neg(felem out, const smallfelem small)
{
/* In order to prevent underflow, we subtract from 0 mod p. */
out[0] = zero105[0] - small[0];
out[1] = zero105[1] - small[1];
out[2] = zero105[2] - small[2];
out[3] = zero105[3] - small[3];
}
/*-
* felem_diff subtracts |in| from |out|
* On entry:
* in[i] < 2^104
* On exit:
* out[i] < out[i] + 2^105
*/
static void felem_diff(felem out, const felem in)
{
/*
* In order to prevent underflow, we add 0 mod p before subtracting.
*/
out[0] += zero105[0];
out[1] += zero105[1];
out[2] += zero105[2];
out[3] += zero105[3];
out[0] -= in[0];
out[1] -= in[1];
out[2] -= in[2];
out[3] -= in[3];
}
#define two107m43m11 (((limb)1) << 107) - (((limb)1) << 43) - (((limb)1) << 11)
#define two107 (((limb)1) << 107)
#define two107m43p11 (((limb)1) << 107) - (((limb)1) << 43) + (((limb)1) << 11)
/* zero107 is 0 mod p */
static const felem zero107 =
{ two107m43m11, two107, two107m43p11, two107m43p11 };
/*-
* An alternative felem_diff for larger inputs |in|
* felem_diff_zero107 subtracts |in| from |out|
* On entry:
* in[i] < 2^106
* On exit:
* out[i] < out[i] + 2^107
*/
static void felem_diff_zero107(felem out, const felem in)
{
/*
* In order to prevent underflow, we add 0 mod p before subtracting.
*/
out[0] += zero107[0];
out[1] += zero107[1];
out[2] += zero107[2];
out[3] += zero107[3];
out[0] -= in[0];
out[1] -= in[1];
out[2] -= in[2];
out[3] -= in[3];
}
/*-
* longfelem_diff subtracts |in| from |out|
* On entry:
* in[i] < 7*2^67
* On exit:
* out[i] < out[i] + 2^70 + 2^40
*/
static void longfelem_diff(longfelem out, const longfelem in)
{
static const limb two70m8p6 =
(((limb) 1) << 70) - (((limb) 1) << 8) + (((limb) 1) << 6);
static const limb two70p40 = (((limb) 1) << 70) + (((limb) 1) << 40);
static const limb two70 = (((limb) 1) << 70);
static const limb two70m40m38p6 =
(((limb) 1) << 70) - (((limb) 1) << 40) - (((limb) 1) << 38) +
(((limb) 1) << 6);
static const limb two70m6 = (((limb) 1) << 70) - (((limb) 1) << 6);
/* add 0 mod p to avoid underflow */
out[0] += two70m8p6;
out[1] += two70p40;
out[2] += two70;
out[3] += two70m40m38p6;
out[4] += two70m6;
out[5] += two70m6;
out[6] += two70m6;
out[7] += two70m6;
/* in[i] < 7*2^67 < 2^70 - 2^40 - 2^38 + 2^6 */
out[0] -= in[0];
out[1] -= in[1];
out[2] -= in[2];
out[3] -= in[3];
out[4] -= in[4];
out[5] -= in[5];
out[6] -= in[6];
out[7] -= in[7];
}
#define two64m0 (((limb)1) << 64) - 1
#define two110p32m0 (((limb)1) << 110) + (((limb)1) << 32) - 1
#define two64m46 (((limb)1) << 64) - (((limb)1) << 46)
#define two64m32 (((limb)1) << 64) - (((limb)1) << 32)
/* zero110 is 0 mod p */
static const felem zero110 = { two64m0, two110p32m0, two64m46, two64m32 };
/*-
* felem_shrink converts an felem into a smallfelem. The result isn't quite
* minimal as the value may be greater than p.
*
* On entry:
* in[i] < 2^109
* On exit:
* out[i] < 2^64
*/
static void felem_shrink(smallfelem out, const felem in)
{
felem tmp;
u64 a, b, mask;
u64 high, low;
static const u64 kPrime3Test = 0x7fffffff00000001ul; /* 2^63 - 2^32 + 1 */
/* Carry 2->3 */
tmp[3] = zero110[3] + in[3] + ((u64)(in[2] >> 64));
/* tmp[3] < 2^110 */
tmp[2] = zero110[2] + (u64)in[2];
tmp[0] = zero110[0] + in[0];
tmp[1] = zero110[1] + in[1];
/* tmp[0] < 2**110, tmp[1] < 2^111, tmp[2] < 2**65 */
/*
* We perform two partial reductions where we eliminate the high-word of
* tmp[3]. We don't update the other words till the end.
*/
a = tmp[3] >> 64; /* a < 2^46 */
tmp[3] = (u64)tmp[3];
tmp[3] -= a;
tmp[3] += ((limb) a) << 32;
/* tmp[3] < 2^79 */
b = a;
a = tmp[3] >> 64; /* a < 2^15 */
b += a; /* b < 2^46 + 2^15 < 2^47 */
tmp[3] = (u64)tmp[3];
tmp[3] -= a;
tmp[3] += ((limb) a) << 32;
/* tmp[3] < 2^64 + 2^47 */
/*
* This adjusts the other two words to complete the two partial
* reductions.
*/
tmp[0] += b;
tmp[1] -= (((limb) b) << 32);
/*
* In order to make space in tmp[3] for the carry from 2 -> 3, we
* conditionally subtract kPrime if tmp[3] is large enough.
*/
high = (u64)(tmp[3] >> 64);
/* As tmp[3] < 2^65, high is either 1 or 0 */
high = 0 - high;
/*-
* high is:
* all ones if the high word of tmp[3] is 1
* all zeros if the high word of tmp[3] if 0
*/
low = (u64)tmp[3];
mask = 0 - (low >> 63);
/*-
* mask is:
* all ones if the MSB of low is 1
* all zeros if the MSB of low if 0
*/
low &= bottom63bits;
low -= kPrime3Test;
/* if low was greater than kPrime3Test then the MSB is zero */
low = ~low;
low = 0 - (low >> 63);
/*-
* low is:
* all ones if low was > kPrime3Test
* all zeros if low was <= kPrime3Test
*/
mask = (mask & low) | high;
tmp[0] -= mask & kPrime[0];
tmp[1] -= mask & kPrime[1];
/* kPrime[2] is zero, so omitted */
tmp[3] -= mask & kPrime[3];
/* tmp[3] < 2**64 - 2**32 + 1 */
tmp[1] += ((u64)(tmp[0] >> 64));
tmp[0] = (u64)tmp[0];
tmp[2] += ((u64)(tmp[1] >> 64));
tmp[1] = (u64)tmp[1];
tmp[3] += ((u64)(tmp[2] >> 64));
tmp[2] = (u64)tmp[2];
/* tmp[i] < 2^64 */
out[0] = tmp[0];
out[1] = tmp[1];
out[2] = tmp[2];
out[3] = tmp[3];
}
/* smallfelem_expand converts a smallfelem to an felem */
static void smallfelem_expand(felem out, const smallfelem in)
{
out[0] = in[0];
out[1] = in[1];
out[2] = in[2];
out[3] = in[3];
}
/*-
* smallfelem_square sets |out| = |small|^2
* On entry:
* small[i] < 2^64
* On exit:
* out[i] < 7 * 2^64 < 2^67
*/
static void smallfelem_square(longfelem out, const smallfelem small)
{
limb a;
u64 high, low;
a = ((uint128_t) small[0]) * small[0];
low = a;
high = a >> 64;
out[0] = low;
out[1] = high;
a = ((uint128_t) small[0]) * small[1];
low = a;
high = a >> 64;
out[1] += low;
out[1] += low;
out[2] = high;
a = ((uint128_t) small[0]) * small[2];
low = a;
high = a >> 64;
out[2] += low;
out[2] *= 2;
out[3] = high;
a = ((uint128_t) small[0]) * small[3];
low = a;
high = a >> 64;
out[3] += low;
out[4] = high;
a = ((uint128_t) small[1]) * small[2];
low = a;
high = a >> 64;
out[3] += low;
out[3] *= 2;
out[4] += high;
a = ((uint128_t) small[1]) * small[1];
low = a;
high = a >> 64;
out[2] += low;
out[3] += high;
a = ((uint128_t) small[1]) * small[3];
low = a;
high = a >> 64;
out[4] += low;
out[4] *= 2;
out[5] = high;
a = ((uint128_t) small[2]) * small[3];
low = a;
high = a >> 64;
out[5] += low;
out[5] *= 2;
out[6] = high;
out[6] += high;
a = ((uint128_t) small[2]) * small[2];
low = a;
high = a >> 64;
out[4] += low;
out[5] += high;
a = ((uint128_t) small[3]) * small[3];
low = a;
high = a >> 64;
out[6] += low;
out[7] = high;
}
/*-
* felem_square sets |out| = |in|^2
* On entry:
* in[i] < 2^109
* On exit:
* out[i] < 7 * 2^64 < 2^67
*/
static void felem_square(longfelem out, const felem in)
{
u64 small[4];
felem_shrink(small, in);
smallfelem_square(out, small);
}
/*-
* smallfelem_mul sets |out| = |small1| * |small2|
* On entry:
* small1[i] < 2^64
* small2[i] < 2^64
* On exit:
* out[i] < 7 * 2^64 < 2^67
*/
static void smallfelem_mul(longfelem out, const smallfelem small1,
const smallfelem small2)
{
limb a;
u64 high, low;
a = ((uint128_t) small1[0]) * small2[0];
low = a;
high = a >> 64;
out[0] = low;
out[1] = high;
a = ((uint128_t) small1[0]) * small2[1];
low = a;
high = a >> 64;
out[1] += low;
out[2] = high;
a = ((uint128_t) small1[1]) * small2[0];
low = a;
high = a >> 64;
out[1] += low;
out[2] += high;
a = ((uint128_t) small1[0]) * small2[2];
low = a;
high = a >> 64;
out[2] += low;
out[3] = high;
a = ((uint128_t) small1[1]) * small2[1];
low = a;
high = a >> 64;
out[2] += low;
out[3] += high;
a = ((uint128_t) small1[2]) * small2[0];
low = a;
high = a >> 64;
out[2] += low;
out[3] += high;
a = ((uint128_t) small1[0]) * small2[3];
low = a;
high = a >> 64;
out[3] += low;
out[4] = high;
a = ((uint128_t) small1[1]) * small2[2];
low = a;
high = a >> 64;
out[3] += low;
out[4] += high;
a = ((uint128_t) small1[2]) * small2[1];
low = a;
high = a >> 64;
out[3] += low;
out[4] += high;
a = ((uint128_t) small1[3]) * small2[0];
low = a;
high = a >> 64;
out[3] += low;
out[4] += high;
a = ((uint128_t) small1[1]) * small2[3];
low = a;
high = a >> 64;
out[4] += low;
out[5] = high;
a = ((uint128_t) small1[2]) * small2[2];
low = a;
high = a >> 64;
out[4] += low;
out[5] += high;
a = ((uint128_t) small1[3]) * small2[1];
low = a;
high = a >> 64;
out[4] += low;
out[5] += high;
a = ((uint128_t) small1[2]) * small2[3];
low = a;
high = a >> 64;
out[5] += low;
out[6] = high;
a = ((uint128_t) small1[3]) * small2[2];
low = a;
high = a >> 64;
out[5] += low;
out[6] += high;
a = ((uint128_t) small1[3]) * small2[3];
low = a;
high = a >> 64;
out[6] += low;
out[7] = high;
}
/*-
* felem_mul sets |out| = |in1| * |in2|
* On entry:
* in1[i] < 2^109
* in2[i] < 2^109
* On exit:
* out[i] < 7 * 2^64 < 2^67
*/
static void felem_mul(longfelem out, const felem in1, const felem in2)
{
smallfelem small1, small2;
felem_shrink(small1, in1);
felem_shrink(small2, in2);
smallfelem_mul(out, small1, small2);
}
/*-
* felem_small_mul sets |out| = |small1| * |in2|
* On entry:
* small1[i] < 2^64
* in2[i] < 2^109
* On exit:
* out[i] < 7 * 2^64 < 2^67
*/
static void felem_small_mul(longfelem out, const smallfelem small1,
const felem in2)
{
smallfelem small2;
felem_shrink(small2, in2);
smallfelem_mul(out, small1, small2);
}
#define two100m36m4 (((limb)1) << 100) - (((limb)1) << 36) - (((limb)1) << 4)
#define two100 (((limb)1) << 100)
#define two100m36p4 (((limb)1) << 100) - (((limb)1) << 36) + (((limb)1) << 4)
/* zero100 is 0 mod p */
static const felem zero100 =
{ two100m36m4, two100, two100m36p4, two100m36p4 };
/*-
* Internal function for the different flavours of felem_reduce.
* felem_reduce_ reduces the higher coefficients in[4]-in[7].
* On entry:
* out[0] >= in[6] + 2^32*in[6] + in[7] + 2^32*in[7]
* out[1] >= in[7] + 2^32*in[4]
* out[2] >= in[5] + 2^32*in[5]
* out[3] >= in[4] + 2^32*in[5] + 2^32*in[6]
* On exit:
* out[0] <= out[0] + in[4] + 2^32*in[5]
* out[1] <= out[1] + in[5] + 2^33*in[6]
* out[2] <= out[2] + in[7] + 2*in[6] + 2^33*in[7]
* out[3] <= out[3] + 2^32*in[4] + 3*in[7]
*/
static void felem_reduce_(felem out, const longfelem in)
{
int128_t c;
/* combine common terms from below */
c = in[4] + (in[5] << 32);
out[0] += c;
out[3] -= c;
c = in[5] - in[7];
out[1] += c;
out[2] -= c;
/* the remaining terms */
/* 256: [(0,1),(96,-1),(192,-1),(224,1)] */
out[1] -= (in[4] << 32);
out[3] += (in[4] << 32);
/* 320: [(32,1),(64,1),(128,-1),(160,-1),(224,-1)] */
out[2] -= (in[5] << 32);
/* 384: [(0,-1),(32,-1),(96,2),(128,2),(224,-1)] */
out[0] -= in[6];
out[0] -= (in[6] << 32);
out[1] += (in[6] << 33);
out[2] += (in[6] * 2);
out[3] -= (in[6] << 32);
/* 448: [(0,-1),(32,-1),(64,-1),(128,1),(160,2),(192,3)] */
out[0] -= in[7];
out[0] -= (in[7] << 32);
out[2] += (in[7] << 33);
out[3] += (in[7] * 3);
}
/*-
* felem_reduce converts a longfelem into an felem.
* To be called directly after felem_square or felem_mul.
* On entry:
* in[0] < 2^64, in[1] < 3*2^64, in[2] < 5*2^64, in[3] < 7*2^64
* in[4] < 7*2^64, in[5] < 5*2^64, in[6] < 3*2^64, in[7] < 2*64
* On exit:
* out[i] < 2^101
*/
static void felem_reduce(felem out, const longfelem in)
{
out[0] = zero100[0] + in[0];
out[1] = zero100[1] + in[1];
out[2] = zero100[2] + in[2];
out[3] = zero100[3] + in[3];
felem_reduce_(out, in);
/*-
* out[0] > 2^100 - 2^36 - 2^4 - 3*2^64 - 3*2^96 - 2^64 - 2^96 > 0
* out[1] > 2^100 - 2^64 - 7*2^96 > 0
* out[2] > 2^100 - 2^36 + 2^4 - 5*2^64 - 5*2^96 > 0
* out[3] > 2^100 - 2^36 + 2^4 - 7*2^64 - 5*2^96 - 3*2^96 > 0
*
* out[0] < 2^100 + 2^64 + 7*2^64 + 5*2^96 < 2^101
* out[1] < 2^100 + 3*2^64 + 5*2^64 + 3*2^97 < 2^101
* out[2] < 2^100 + 5*2^64 + 2^64 + 3*2^65 + 2^97 < 2^101
* out[3] < 2^100 + 7*2^64 + 7*2^96 + 3*2^64 < 2^101
*/
}
/*-
* felem_reduce_zero105 converts a larger longfelem into an felem.
* On entry:
* in[0] < 2^71
* On exit:
* out[i] < 2^106
*/
static void felem_reduce_zero105(felem out, const longfelem in)
{
out[0] = zero105[0] + in[0];
out[1] = zero105[1] + in[1];
out[2] = zero105[2] + in[2];
out[3] = zero105[3] + in[3];
felem_reduce_(out, in);
/*-
* out[0] > 2^105 - 2^41 - 2^9 - 2^71 - 2^103 - 2^71 - 2^103 > 0
* out[1] > 2^105 - 2^71 - 2^103 > 0
* out[2] > 2^105 - 2^41 + 2^9 - 2^71 - 2^103 > 0
* out[3] > 2^105 - 2^41 + 2^9 - 2^71 - 2^103 - 2^103 > 0
*
* out[0] < 2^105 + 2^71 + 2^71 + 2^103 < 2^106
* out[1] < 2^105 + 2^71 + 2^71 + 2^103 < 2^106
* out[2] < 2^105 + 2^71 + 2^71 + 2^71 + 2^103 < 2^106
* out[3] < 2^105 + 2^71 + 2^103 + 2^71 < 2^106
*/
}
/*
* subtract_u64 sets *result = *result - v and *carry to one if the
* subtraction underflowed.
*/
static void subtract_u64(u64 *result, u64 *carry, u64 v)
{
uint128_t r = *result;
r -= v;
*carry = (r >> 64) & 1;
*result = (u64)r;
}
/*
* felem_contract converts |in| to its unique, minimal representation. On
* entry: in[i] < 2^109
*/
static void felem_contract(smallfelem out, const felem in)
{
unsigned i;
u64 all_equal_so_far = 0, result = 0, carry;
felem_shrink(out, in);
/* small is minimal except that the value might be > p */
all_equal_so_far--;
/*
* We are doing a constant time test if out >= kPrime. We need to compare
* each u64, from most-significant to least significant. For each one, if
* all words so far have been equal (m is all ones) then a non-equal
* result is the answer. Otherwise we continue.
*/
for (i = 3; i < 4; i--) {
u64 equal;
uint128_t a = ((uint128_t) kPrime[i]) - out[i];
/*
* if out[i] > kPrime[i] then a will underflow and the high 64-bits
* will all be set.
*/
result |= all_equal_so_far & ((u64)(a >> 64));
/*
* if kPrime[i] == out[i] then |equal| will be all zeros and the
* decrement will make it all ones.
*/
equal = kPrime[i] ^ out[i];
equal--;
equal &= equal << 32;
equal &= equal << 16;
equal &= equal << 8;
equal &= equal << 4;
equal &= equal << 2;
equal &= equal << 1;
equal = 0 - (equal >> 63);
all_equal_so_far &= equal;
}
/*
* if all_equal_so_far is still all ones then the two values are equal
* and so out >= kPrime is true.
*/
result |= all_equal_so_far;
/* if out >= kPrime then we subtract kPrime. */
subtract_u64(&out[0], &carry, result & kPrime[0]);
subtract_u64(&out[1], &carry, carry);
subtract_u64(&out[2], &carry, carry);
subtract_u64(&out[3], &carry, carry);
subtract_u64(&out[1], &carry, result & kPrime[1]);
subtract_u64(&out[2], &carry, carry);
subtract_u64(&out[3], &carry, carry);
subtract_u64(&out[2], &carry, result & kPrime[2]);
subtract_u64(&out[3], &carry, carry);
subtract_u64(&out[3], &carry, result & kPrime[3]);
}
static void smallfelem_square_contract(smallfelem out, const smallfelem in)
{
longfelem longtmp;
felem tmp;
smallfelem_square(longtmp, in);
felem_reduce(tmp, longtmp);
felem_contract(out, tmp);
}
static void smallfelem_mul_contract(smallfelem out, const smallfelem in1,
const smallfelem in2)
{
longfelem longtmp;
felem tmp;
smallfelem_mul(longtmp, in1, in2);
felem_reduce(tmp, longtmp);
felem_contract(out, tmp);
}
/*-
* felem_is_zero returns a limb with all bits set if |in| == 0 (mod p) and 0
* otherwise.
* On entry:
* small[i] < 2^64
*/
static limb smallfelem_is_zero(const smallfelem small)
{
limb result;
u64 is_p;
u64 is_zero = small[0] | small[1] | small[2] | small[3];
is_zero--;
is_zero &= is_zero << 32;
is_zero &= is_zero << 16;
is_zero &= is_zero << 8;
is_zero &= is_zero << 4;
is_zero &= is_zero << 2;
is_zero &= is_zero << 1;
is_zero = 0 - (is_zero >> 63);
is_p = (small[0] ^ kPrime[0]) |
(small[1] ^ kPrime[1]) |
(small[2] ^ kPrime[2]) | (small[3] ^ kPrime[3]);
is_p--;
is_p &= is_p << 32;
is_p &= is_p << 16;
is_p &= is_p << 8;
is_p &= is_p << 4;
is_p &= is_p << 2;
is_p &= is_p << 1;
is_p = 0 - (is_p >> 63);
is_zero |= is_p;
result = is_zero;
result |= ((limb) is_zero) << 64;
return result;
}
static int smallfelem_is_zero_int(const void *small)
{
return (int)(smallfelem_is_zero(small) & ((limb) 1));
}
/*-
* felem_inv calculates |out| = |in|^{-1}
*
* Based on Fermat's Little Theorem:
* a^p = a (mod p)
* a^{p-1} = 1 (mod p)
* a^{p-2} = a^{-1} (mod p)
*/
static void felem_inv(felem out, const felem in)
{
felem ftmp, ftmp2;
/* each e_I will hold |in|^{2^I - 1} */
felem e2, e4, e8, e16, e32, e64;
longfelem tmp;
unsigned i;
felem_square(tmp, in);
felem_reduce(ftmp, tmp); /* 2^1 */
felem_mul(tmp, in, ftmp);
felem_reduce(ftmp, tmp); /* 2^2 - 2^0 */
felem_assign(e2, ftmp);
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp); /* 2^3 - 2^1 */
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp); /* 2^4 - 2^2 */
felem_mul(tmp, ftmp, e2);
felem_reduce(ftmp, tmp); /* 2^4 - 2^0 */
felem_assign(e4, ftmp);
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp); /* 2^5 - 2^1 */
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp); /* 2^6 - 2^2 */
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp); /* 2^7 - 2^3 */
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp); /* 2^8 - 2^4 */
felem_mul(tmp, ftmp, e4);
felem_reduce(ftmp, tmp); /* 2^8 - 2^0 */
felem_assign(e8, ftmp);
for (i = 0; i < 8; i++) {
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp);
} /* 2^16 - 2^8 */
felem_mul(tmp, ftmp, e8);
felem_reduce(ftmp, tmp); /* 2^16 - 2^0 */
felem_assign(e16, ftmp);
for (i = 0; i < 16; i++) {
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp);
} /* 2^32 - 2^16 */
felem_mul(tmp, ftmp, e16);
felem_reduce(ftmp, tmp); /* 2^32 - 2^0 */
felem_assign(e32, ftmp);
for (i = 0; i < 32; i++) {
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp);
} /* 2^64 - 2^32 */
felem_assign(e64, ftmp);
felem_mul(tmp, ftmp, in);
felem_reduce(ftmp, tmp); /* 2^64 - 2^32 + 2^0 */
for (i = 0; i < 192; i++) {
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp);
} /* 2^256 - 2^224 + 2^192 */
felem_mul(tmp, e64, e32);
felem_reduce(ftmp2, tmp); /* 2^64 - 2^0 */
for (i = 0; i < 16; i++) {
felem_square(tmp, ftmp2);
felem_reduce(ftmp2, tmp);
} /* 2^80 - 2^16 */
felem_mul(tmp, ftmp2, e16);
felem_reduce(ftmp2, tmp); /* 2^80 - 2^0 */
for (i = 0; i < 8; i++) {
felem_square(tmp, ftmp2);
felem_reduce(ftmp2, tmp);
} /* 2^88 - 2^8 */
felem_mul(tmp, ftmp2, e8);
felem_reduce(ftmp2, tmp); /* 2^88 - 2^0 */
for (i = 0; i < 4; i++) {
felem_square(tmp, ftmp2);
felem_reduce(ftmp2, tmp);
} /* 2^92 - 2^4 */
felem_mul(tmp, ftmp2, e4);
felem_reduce(ftmp2, tmp); /* 2^92 - 2^0 */
felem_square(tmp, ftmp2);
felem_reduce(ftmp2, tmp); /* 2^93 - 2^1 */
felem_square(tmp, ftmp2);
felem_reduce(ftmp2, tmp); /* 2^94 - 2^2 */
felem_mul(tmp, ftmp2, e2);
felem_reduce(ftmp2, tmp); /* 2^94 - 2^0 */
felem_square(tmp, ftmp2);
felem_reduce(ftmp2, tmp); /* 2^95 - 2^1 */
felem_square(tmp, ftmp2);
felem_reduce(ftmp2, tmp); /* 2^96 - 2^2 */
felem_mul(tmp, ftmp2, in);
felem_reduce(ftmp2, tmp); /* 2^96 - 3 */
felem_mul(tmp, ftmp2, ftmp);
felem_reduce(out, tmp); /* 2^256 - 2^224 + 2^192 + 2^96 - 3 */
}
static void smallfelem_inv_contract(smallfelem out, const smallfelem in)
{
felem tmp;
smallfelem_expand(tmp, in);
felem_inv(tmp, tmp);
felem_contract(out, tmp);
}
/*-
* Group operations
* ----------------
*
* Building on top of the field operations we have the operations on the
* elliptic curve group itself. Points on the curve are represented in Jacobian
* coordinates
*/
/*-
* point_double calculates 2*(x_in, y_in, z_in)
*
* The method is taken from:
* http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#doubling-dbl-2001-b
*
* Outputs can equal corresponding inputs, i.e., x_out == x_in is allowed.
* while x_out == y_in is not (maybe this works, but it's not tested).
*/
static void
point_double(felem x_out, felem y_out, felem z_out,
const felem x_in, const felem y_in, const felem z_in)
{
longfelem tmp, tmp2;
felem delta, gamma, beta, alpha, ftmp, ftmp2;
smallfelem small1, small2;
felem_assign(ftmp, x_in);
/* ftmp[i] < 2^106 */
felem_assign(ftmp2, x_in);
/* ftmp2[i] < 2^106 */
/* delta = z^2 */
felem_square(tmp, z_in);
felem_reduce(delta, tmp);
/* delta[i] < 2^101 */
/* gamma = y^2 */
felem_square(tmp, y_in);
felem_reduce(gamma, tmp);
/* gamma[i] < 2^101 */
felem_shrink(small1, gamma);
/* beta = x*gamma */
felem_small_mul(tmp, small1, x_in);
felem_reduce(beta, tmp);
/* beta[i] < 2^101 */
/* alpha = 3*(x-delta)*(x+delta) */
felem_diff(ftmp, delta);
/* ftmp[i] < 2^105 + 2^106 < 2^107 */
felem_sum(ftmp2, delta);
/* ftmp2[i] < 2^105 + 2^106 < 2^107 */
felem_scalar(ftmp2, 3);
/* ftmp2[i] < 3 * 2^107 < 2^109 */
felem_mul(tmp, ftmp, ftmp2);
felem_reduce(alpha, tmp);
/* alpha[i] < 2^101 */
felem_shrink(small2, alpha);
/* x' = alpha^2 - 8*beta */
smallfelem_square(tmp, small2);
felem_reduce(x_out, tmp);
felem_assign(ftmp, beta);
felem_scalar(ftmp, 8);
/* ftmp[i] < 8 * 2^101 = 2^104 */
felem_diff(x_out, ftmp);
/* x_out[i] < 2^105 + 2^101 < 2^106 */
/* z' = (y + z)^2 - gamma - delta */
felem_sum(delta, gamma);
/* delta[i] < 2^101 + 2^101 = 2^102 */
felem_assign(ftmp, y_in);
felem_sum(ftmp, z_in);
/* ftmp[i] < 2^106 + 2^106 = 2^107 */
felem_square(tmp, ftmp);
felem_reduce(z_out, tmp);
felem_diff(z_out, delta);
/* z_out[i] < 2^105 + 2^101 < 2^106 */
/* y' = alpha*(4*beta - x') - 8*gamma^2 */
felem_scalar(beta, 4);
/* beta[i] < 4 * 2^101 = 2^103 */
felem_diff_zero107(beta, x_out);
/* beta[i] < 2^107 + 2^103 < 2^108 */
felem_small_mul(tmp, small2, beta);
/* tmp[i] < 7 * 2^64 < 2^67 */
smallfelem_square(tmp2, small1);
/* tmp2[i] < 7 * 2^64 */
longfelem_scalar(tmp2, 8);
/* tmp2[i] < 8 * 7 * 2^64 = 7 * 2^67 */
longfelem_diff(tmp, tmp2);
/* tmp[i] < 2^67 + 2^70 + 2^40 < 2^71 */
felem_reduce_zero105(y_out, tmp);
/* y_out[i] < 2^106 */
}
/*
* point_double_small is the same as point_double, except that it operates on
* smallfelems
*/
static void
point_double_small(smallfelem x_out, smallfelem y_out, smallfelem z_out,
const smallfelem x_in, const smallfelem y_in,
const smallfelem z_in)
{
felem felem_x_out, felem_y_out, felem_z_out;
felem felem_x_in, felem_y_in, felem_z_in;
smallfelem_expand(felem_x_in, x_in);
smallfelem_expand(felem_y_in, y_in);
smallfelem_expand(felem_z_in, z_in);
point_double(felem_x_out, felem_y_out, felem_z_out,
felem_x_in, felem_y_in, felem_z_in);
felem_shrink(x_out, felem_x_out);
felem_shrink(y_out, felem_y_out);
felem_shrink(z_out, felem_z_out);
}
/* copy_conditional copies in to out iff mask is all ones. */
static void copy_conditional(felem out, const felem in, limb mask)
{
unsigned i;
for (i = 0; i < NLIMBS; ++i) {
const limb tmp = mask & (in[i] ^ out[i]);
out[i] ^= tmp;
}
}
/* copy_small_conditional copies in to out iff mask is all ones. */
static void copy_small_conditional(felem out, const smallfelem in, limb mask)
{
unsigned i;
const u64 mask64 = mask;
for (i = 0; i < NLIMBS; ++i) {
out[i] = ((limb) (in[i] & mask64)) | (out[i] & ~mask);
}
}
/*-
* point_add calculates (x1, y1, z1) + (x2, y2, z2)
*
* The method is taken from:
* http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#addition-add-2007-bl,
* adapted for mixed addition (z2 = 1, or z2 = 0 for the point at infinity).
*
* This function includes a branch for checking whether the two input points
* are equal, (while not equal to the point at infinity). This case never
* happens during single point multiplication, so there is no timing leak for
* ECDH or ECDSA signing.
*/
static void point_add(felem x3, felem y3, felem z3,
const felem x1, const felem y1, const felem z1,
const int mixed, const smallfelem x2,
const smallfelem y2, const smallfelem z2)
{
felem ftmp, ftmp2, ftmp3, ftmp4, ftmp5, ftmp6, x_out, y_out, z_out;
longfelem tmp, tmp2;
smallfelem small1, small2, small3, small4, small5;
limb x_equal, y_equal, z1_is_zero, z2_is_zero;
limb points_equal;
felem_shrink(small3, z1);
z1_is_zero = smallfelem_is_zero(small3);
z2_is_zero = smallfelem_is_zero(z2);
/* ftmp = z1z1 = z1**2 */
smallfelem_square(tmp, small3);
felem_reduce(ftmp, tmp);
/* ftmp[i] < 2^101 */
felem_shrink(small1, ftmp);
if (!mixed) {
/* ftmp2 = z2z2 = z2**2 */
smallfelem_square(tmp, z2);
felem_reduce(ftmp2, tmp);
/* ftmp2[i] < 2^101 */
felem_shrink(small2, ftmp2);
felem_shrink(small5, x1);
/* u1 = ftmp3 = x1*z2z2 */
smallfelem_mul(tmp, small5, small2);
felem_reduce(ftmp3, tmp);
/* ftmp3[i] < 2^101 */
/* ftmp5 = z1 + z2 */
felem_assign(ftmp5, z1);
felem_small_sum(ftmp5, z2);
/* ftmp5[i] < 2^107 */
/* ftmp5 = (z1 + z2)**2 - (z1z1 + z2z2) = 2z1z2 */
felem_square(tmp, ftmp5);
felem_reduce(ftmp5, tmp);
/* ftmp2 = z2z2 + z1z1 */
felem_sum(ftmp2, ftmp);
/* ftmp2[i] < 2^101 + 2^101 = 2^102 */
felem_diff(ftmp5, ftmp2);
/* ftmp5[i] < 2^105 + 2^101 < 2^106 */
/* ftmp2 = z2 * z2z2 */
smallfelem_mul(tmp, small2, z2);
felem_reduce(ftmp2, tmp);
/* s1 = ftmp2 = y1 * z2**3 */
felem_mul(tmp, y1, ftmp2);
felem_reduce(ftmp6, tmp);
/* ftmp6[i] < 2^101 */
} else {
/*
* We'll assume z2 = 1 (special case z2 = 0 is handled later)
*/
/* u1 = ftmp3 = x1*z2z2 */
felem_assign(ftmp3, x1);
/* ftmp3[i] < 2^106 */
/* ftmp5 = 2z1z2 */
felem_assign(ftmp5, z1);
felem_scalar(ftmp5, 2);
/* ftmp5[i] < 2*2^106 = 2^107 */
/* s1 = ftmp2 = y1 * z2**3 */
felem_assign(ftmp6, y1);
/* ftmp6[i] < 2^106 */
}
/* u2 = x2*z1z1 */
smallfelem_mul(tmp, x2, small1);
felem_reduce(ftmp4, tmp);
/* h = ftmp4 = u2 - u1 */
felem_diff_zero107(ftmp4, ftmp3);
/* ftmp4[i] < 2^107 + 2^101 < 2^108 */
felem_shrink(small4, ftmp4);
x_equal = smallfelem_is_zero(small4);
/* z_out = ftmp5 * h */
felem_small_mul(tmp, small4, ftmp5);
felem_reduce(z_out, tmp);
/* z_out[i] < 2^101 */
/* ftmp = z1 * z1z1 */
smallfelem_mul(tmp, small1, small3);
felem_reduce(ftmp, tmp);
/* s2 = tmp = y2 * z1**3 */
felem_small_mul(tmp, y2, ftmp);
felem_reduce(ftmp5, tmp);
/* r = ftmp5 = (s2 - s1)*2 */
felem_diff_zero107(ftmp5, ftmp6);
/* ftmp5[i] < 2^107 + 2^107 = 2^108 */
felem_scalar(ftmp5, 2);
/* ftmp5[i] < 2^109 */
felem_shrink(small1, ftmp5);
y_equal = smallfelem_is_zero(small1);
/*
* The formulae are incorrect if the points are equal, in affine coordinates
* (X_1, Y_1) == (X_2, Y_2), so we check for this and do doubling if this
* happens.
*
* We use bitwise operations to avoid potential side-channels introduced by
* the short-circuiting behaviour of boolean operators.
*
* The special case of either point being the point at infinity (z1 and/or
* z2 are zero), is handled separately later on in this function, so we
* avoid jumping to point_double here in those special cases.
*/
points_equal = (x_equal & y_equal & (~z1_is_zero) & (~z2_is_zero));
if (points_equal) {
/*
* This is obviously not constant-time but, as mentioned before, this
* case never happens during single point multiplication, so there is no
* timing leak for ECDH or ECDSA signing.
*/
point_double(x3, y3, z3, x1, y1, z1);
return;
}
/* I = ftmp = (2h)**2 */
felem_assign(ftmp, ftmp4);
felem_scalar(ftmp, 2);
/* ftmp[i] < 2*2^108 = 2^109 */
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp);
/* J = ftmp2 = h * I */
felem_mul(tmp, ftmp4, ftmp);
felem_reduce(ftmp2, tmp);
/* V = ftmp4 = U1 * I */
felem_mul(tmp, ftmp3, ftmp);
felem_reduce(ftmp4, tmp);
/* x_out = r**2 - J - 2V */
smallfelem_square(tmp, small1);
felem_reduce(x_out, tmp);
felem_assign(ftmp3, ftmp4);
felem_scalar(ftmp4, 2);
felem_sum(ftmp4, ftmp2);
/* ftmp4[i] < 2*2^101 + 2^101 < 2^103 */
felem_diff(x_out, ftmp4);
/* x_out[i] < 2^105 + 2^101 */
/* y_out = r(V-x_out) - 2 * s1 * J */
felem_diff_zero107(ftmp3, x_out);
/* ftmp3[i] < 2^107 + 2^101 < 2^108 */
felem_small_mul(tmp, small1, ftmp3);
felem_mul(tmp2, ftmp6, ftmp2);
longfelem_scalar(tmp2, 2);
/* tmp2[i] < 2*2^67 = 2^68 */
longfelem_diff(tmp, tmp2);
/* tmp[i] < 2^67 + 2^70 + 2^40 < 2^71 */
felem_reduce_zero105(y_out, tmp);
/* y_out[i] < 2^106 */
copy_small_conditional(x_out, x2, z1_is_zero);
copy_conditional(x_out, x1, z2_is_zero);
copy_small_conditional(y_out, y2, z1_is_zero);
copy_conditional(y_out, y1, z2_is_zero);
copy_small_conditional(z_out, z2, z1_is_zero);
copy_conditional(z_out, z1, z2_is_zero);
felem_assign(x3, x_out);
felem_assign(y3, y_out);
felem_assign(z3, z_out);
}
/*
* point_add_small is the same as point_add, except that it operates on
* smallfelems
*/
static void point_add_small(smallfelem x3, smallfelem y3, smallfelem z3,
smallfelem x1, smallfelem y1, smallfelem z1,
smallfelem x2, smallfelem y2, smallfelem z2)
{
felem felem_x3, felem_y3, felem_z3;
felem felem_x1, felem_y1, felem_z1;
smallfelem_expand(felem_x1, x1);
smallfelem_expand(felem_y1, y1);
smallfelem_expand(felem_z1, z1);
point_add(felem_x3, felem_y3, felem_z3, felem_x1, felem_y1, felem_z1, 0,
x2, y2, z2);
felem_shrink(x3, felem_x3);
felem_shrink(y3, felem_y3);
felem_shrink(z3, felem_z3);
}
/*-
* Base point pre computation
* --------------------------
*
* Two different sorts of precomputed tables are used in the following code.
* Each contain various points on the curve, where each point is three field
* elements (x, y, z).
*
* For the base point table, z is usually 1 (0 for the point at infinity).
* This table has 2 * 16 elements, starting with the following:
* index | bits | point
* ------+---------+------------------------------
* 0 | 0 0 0 0 | 0G
* 1 | 0 0 0 1 | 1G
* 2 | 0 0 1 0 | 2^64G
* 3 | 0 0 1 1 | (2^64 + 1)G
* 4 | 0 1 0 0 | 2^128G
* 5 | 0 1 0 1 | (2^128 + 1)G
* 6 | 0 1 1 0 | (2^128 + 2^64)G
* 7 | 0 1 1 1 | (2^128 + 2^64 + 1)G
* 8 | 1 0 0 0 | 2^192G
* 9 | 1 0 0 1 | (2^192 + 1)G
* 10 | 1 0 1 0 | (2^192 + 2^64)G
* 11 | 1 0 1 1 | (2^192 + 2^64 + 1)G
* 12 | 1 1 0 0 | (2^192 + 2^128)G
* 13 | 1 1 0 1 | (2^192 + 2^128 + 1)G
* 14 | 1 1 1 0 | (2^192 + 2^128 + 2^64)G
* 15 | 1 1 1 1 | (2^192 + 2^128 + 2^64 + 1)G
* followed by a copy of this with each element multiplied by 2^32.
*
* The reason for this is so that we can clock bits into four different
* locations when doing simple scalar multiplies against the base point,
* and then another four locations using the second 16 elements.
*
* Tables for other points have table[i] = iG for i in 0 .. 16. */
/* gmul is the table of precomputed base points */
static const smallfelem gmul[2][16][3] = {
{{{0, 0, 0, 0},
{0, 0, 0, 0},
{0, 0, 0, 0}},
{{0xf4a13945d898c296, 0x77037d812deb33a0, 0xf8bce6e563a440f2,
0x6b17d1f2e12c4247},
{0xcbb6406837bf51f5, 0x2bce33576b315ece, 0x8ee7eb4a7c0f9e16,
0x4fe342e2fe1a7f9b},
{1, 0, 0, 0}},
{{0x90e75cb48e14db63, 0x29493baaad651f7e, 0x8492592e326e25de,
0x0fa822bc2811aaa5},
{0xe41124545f462ee7, 0x34b1a65050fe82f5, 0x6f4ad4bcb3df188b,
0xbff44ae8f5dba80d},
{1, 0, 0, 0}},
{{0x93391ce2097992af, 0xe96c98fd0d35f1fa, 0xb257c0de95e02789,
0x300a4bbc89d6726f},
{0xaa54a291c08127a0, 0x5bb1eeada9d806a5, 0x7f1ddb25ff1e3c6f,
0x72aac7e0d09b4644},
{1, 0, 0, 0}},
{{0x57c84fc9d789bd85, 0xfc35ff7dc297eac3, 0xfb982fd588c6766e,
0x447d739beedb5e67},
{0x0c7e33c972e25b32, 0x3d349b95a7fae500, 0xe12e9d953a4aaff7,
0x2d4825ab834131ee},
{1, 0, 0, 0}},
{{0x13949c932a1d367f, 0xef7fbd2b1a0a11b7, 0xddc6068bb91dfc60,
0xef9519328a9c72ff},
{0x196035a77376d8a8, 0x23183b0895ca1740, 0xc1ee9807022c219c,
0x611e9fc37dbb2c9b},
{1, 0, 0, 0}},
{{0xcae2b1920b57f4bc, 0x2936df5ec6c9bc36, 0x7dea6482e11238bf,
0x550663797b51f5d8},
{0x44ffe216348a964c, 0x9fb3d576dbdefbe1, 0x0afa40018d9d50e5,
0x157164848aecb851},
{1, 0, 0, 0}},
{{0xe48ecafffc5cde01, 0x7ccd84e70d715f26, 0xa2e8f483f43e4391,
0xeb5d7745b21141ea},
{0xcac917e2731a3479, 0x85f22cfe2844b645, 0x0990e6a158006cee,
0xeafd72ebdbecc17b},
{1, 0, 0, 0}},
{{0x6cf20ffb313728be, 0x96439591a3c6b94a, 0x2736ff8344315fc5,
0xa6d39677a7849276},
{0xf2bab833c357f5f4, 0x824a920c2284059b, 0x66b8babd2d27ecdf,
0x674f84749b0b8816},
{1, 0, 0, 0}},
{{0x2df48c04677c8a3e, 0x74e02f080203a56b, 0x31855f7db8c7fedb,
0x4e769e7672c9ddad},
{0xa4c36165b824bbb0, 0xfb9ae16f3b9122a5, 0x1ec0057206947281,
0x42b99082de830663},
{1, 0, 0, 0}},
{{0x6ef95150dda868b9, 0xd1f89e799c0ce131, 0x7fdc1ca008a1c478,
0x78878ef61c6ce04d},
{0x9c62b9121fe0d976, 0x6ace570ebde08d4f, 0xde53142c12309def,
0xb6cb3f5d7b72c321},
{1, 0, 0, 0}},
{{0x7f991ed2c31a3573, 0x5b82dd5bd54fb496, 0x595c5220812ffcae,
0x0c88bc4d716b1287},
{0x3a57bf635f48aca8, 0x7c8181f4df2564f3, 0x18d1b5b39c04e6aa,
0xdd5ddea3f3901dc6},
{1, 0, 0, 0}},
{{0xe96a79fb3e72ad0c, 0x43a0a28c42ba792f, 0xefe0a423083e49f3,
0x68f344af6b317466},
{0xcdfe17db3fb24d4a, 0x668bfc2271f5c626, 0x604ed93c24d67ff3,
0x31b9c405f8540a20},
{1, 0, 0, 0}},
{{0xd36b4789a2582e7f, 0x0d1a10144ec39c28, 0x663c62c3edbad7a0,
0x4052bf4b6f461db9},
{0x235a27c3188d25eb, 0xe724f33999bfcc5b, 0x862be6bd71d70cc8,
0xfecf4d5190b0fc61},
{1, 0, 0, 0}},
{{0x74346c10a1d4cfac, 0xafdf5cc08526a7a4, 0x123202a8f62bff7a,
0x1eddbae2c802e41a},
{0x8fa0af2dd603f844, 0x36e06b7e4c701917, 0x0c45f45273db33a0,
0x43104d86560ebcfc},
{1, 0, 0, 0}},
{{0x9615b5110d1d78e5, 0x66b0de3225c4744b, 0x0a4a46fb6aaf363a,
0xb48e26b484f7a21c},
{0x06ebb0f621a01b2d, 0xc004e4048b7b0f98, 0x64131bcdfed6f668,
0xfac015404d4d3dab},
{1, 0, 0, 0}}},
{{{0, 0, 0, 0},
{0, 0, 0, 0},
{0, 0, 0, 0}},
{{0x3a5a9e22185a5943, 0x1ab919365c65dfb6, 0x21656b32262c71da,
0x7fe36b40af22af89},
{0xd50d152c699ca101, 0x74b3d5867b8af212, 0x9f09f40407dca6f1,
0xe697d45825b63624},
{1, 0, 0, 0}},
{{0xa84aa9397512218e, 0xe9a521b074ca0141, 0x57880b3a18a2e902,
0x4a5b506612a677a6},
{0x0beada7a4c4f3840, 0x626db15419e26d9d, 0xc42604fbe1627d40,
0xeb13461ceac089f1},
{1, 0, 0, 0}},
{{0xf9faed0927a43281, 0x5e52c4144103ecbc, 0xc342967aa815c857,
0x0781b8291c6a220a},
{0x5a8343ceeac55f80, 0x88f80eeee54a05e3, 0x97b2a14f12916434,
0x690cde8df0151593},
{1, 0, 0, 0}},
{{0xaee9c75df7f82f2a, 0x9e4c35874afdf43a, 0xf5622df437371326,
0x8a535f566ec73617},
{0xc5f9a0ac223094b7, 0xcde533864c8c7669, 0x37e02819085a92bf,
0x0455c08468b08bd7},
{1, 0, 0, 0}},
{{0x0c0a6e2c9477b5d9, 0xf9a4bf62876dc444, 0x5050a949b6cdc279,
0x06bada7ab77f8276},
{0xc8b4aed1ea48dac9, 0xdebd8a4b7ea1070f, 0x427d49101366eb70,
0x5b476dfd0e6cb18a},
{1, 0, 0, 0}},
{{0x7c5c3e44278c340a, 0x4d54606812d66f3b, 0x29a751b1ae23c5d8,
0x3e29864e8a2ec908},
{0x142d2a6626dbb850, 0xad1744c4765bd780, 0x1f150e68e322d1ed,
0x239b90ea3dc31e7e},
{1, 0, 0, 0}},
{{0x78c416527a53322a, 0x305dde6709776f8e, 0xdbcab759f8862ed4,
0x820f4dd949f72ff7},
{0x6cc544a62b5debd4, 0x75be5d937b4e8cc4, 0x1b481b1b215c14d3,
0x140406ec783a05ec},
{1, 0, 0, 0}},
{{0x6a703f10e895df07, 0xfd75f3fa01876bd8, 0xeb5b06e70ce08ffe,
0x68f6b8542783dfee},
{0x90c76f8a78712655, 0xcf5293d2f310bf7f, 0xfbc8044dfda45028,
0xcbe1feba92e40ce6},
{1, 0, 0, 0}},
{{0xe998ceea4396e4c1, 0xfc82ef0b6acea274, 0x230f729f2250e927,
0xd0b2f94d2f420109},
{0x4305adddb38d4966, 0x10b838f8624c3b45, 0x7db2636658954e7a,
0x971459828b0719e5},
{1, 0, 0, 0}},
{{0x4bd6b72623369fc9, 0x57f2929e53d0b876, 0xc2d5cba4f2340687,
0x961610004a866aba},
{0x49997bcd2e407a5e, 0x69ab197d92ddcb24, 0x2cf1f2438fe5131c,
0x7acb9fadcee75e44},
{1, 0, 0, 0}},
{{0x254e839423d2d4c0, 0xf57f0c917aea685b, 0xa60d880f6f75aaea,
0x24eb9acca333bf5b},
{0xe3de4ccb1cda5dea, 0xfeef9341c51a6b4f, 0x743125f88bac4c4d,
0x69f891c5acd079cc},
{1, 0, 0, 0}},
{{0xeee44b35702476b5, 0x7ed031a0e45c2258, 0xb422d1e7bd6f8514,
0xe51f547c5972a107},
{0xa25bcd6fc9cf343d, 0x8ca922ee097c184e, 0xa62f98b3a9fe9a06,
0x1c309a2b25bb1387},
{1, 0, 0, 0}},
{{0x9295dbeb1967c459, 0xb00148833472c98e, 0xc504977708011828,
0x20b87b8aa2c4e503},
{0x3063175de057c277, 0x1bd539338fe582dd, 0x0d11adef5f69a044,
0xf5c6fa49919776be},
{1, 0, 0, 0}},
{{0x8c944e760fd59e11, 0x3876cba1102fad5f, 0xa454c3fad83faa56,
0x1ed7d1b9332010b9},
{0xa1011a270024b889, 0x05e4d0dcac0cd344, 0x52b520f0eb6a2a24,
0x3a2b03f03217257a},
{1, 0, 0, 0}},
{{0xf20fc2afdf1d043d, 0xf330240db58d5a62, 0xfc7d229ca0058c3b,
0x15fee545c78dd9f6},
{0x501e82885bc98cda, 0x41ef80e5d046ac04, 0x557d9f49461210fb,
0x4ab5b6b2b8753f81},
{1, 0, 0, 0}}}
};
/*
* select_point selects the |idx|th point from a precomputation table and
* copies it to out.
*/
static void select_point(const u64 idx, unsigned int size,
const smallfelem pre_comp[16][3], smallfelem out[3])
{
unsigned i, j;
u64 *outlimbs = &out[0][0];
memset(out, 0, sizeof(*out) * 3);
for (i = 0; i < size; i++) {
const u64 *inlimbs = (u64 *)&pre_comp[i][0][0];
u64 mask = i ^ idx;
mask |= mask >> 4;
mask |= mask >> 2;
mask |= mask >> 1;
mask &= 1;
mask--;
for (j = 0; j < NLIMBS * 3; j++)
outlimbs[j] |= inlimbs[j] & mask;
}
}
/* get_bit returns the |i|th bit in |in| */
static char get_bit(const felem_bytearray in, int i)
{
if ((i < 0) || (i >= 256))
return 0;
return (in[i >> 3] >> (i & 7)) & 1;
}
/*
* Interleaved point multiplication using precomputed point multiples: The
* small point multiples 0*P, 1*P, ..., 17*P are in pre_comp[], the scalars
* in scalars[]. If g_scalar is non-NULL, we also add this multiple of the
* generator, using certain (large) precomputed multiples in g_pre_comp.
* Output point (X, Y, Z) is stored in x_out, y_out, z_out
*/
static void batch_mul(felem x_out, felem y_out, felem z_out,
const felem_bytearray scalars[],
const unsigned num_points, const u8 *g_scalar,
const int mixed, const smallfelem pre_comp[][17][3],
const smallfelem g_pre_comp[2][16][3])
{
int i, skip;
unsigned num, gen_mul = (g_scalar != NULL);
felem nq[3], ftmp;
smallfelem tmp[3];
u64 bits;
u8 sign, digit;
/* set nq to the point at infinity */
memset(nq, 0, sizeof(nq));
/*
* Loop over all scalars msb-to-lsb, interleaving additions of multiples
* of the generator (two in each of the last 32 rounds) and additions of
* other points multiples (every 5th round).
*/
skip = 1; /* save two point operations in the first
* round */
for (i = (num_points ? 255 : 31); i >= 0; --i) {
/* double */
if (!skip)
point_double(nq[0], nq[1], nq[2], nq[0], nq[1], nq[2]);
/* add multiples of the generator */
if (gen_mul && (i <= 31)) {
/* first, look 32 bits upwards */
bits = get_bit(g_scalar, i + 224) << 3;
bits |= get_bit(g_scalar, i + 160) << 2;
bits |= get_bit(g_scalar, i + 96) << 1;
bits |= get_bit(g_scalar, i + 32);
/* select the point to add, in constant time */
select_point(bits, 16, g_pre_comp[1], tmp);
if (!skip) {
/* Arg 1 below is for "mixed" */
point_add(nq[0], nq[1], nq[2],
nq[0], nq[1], nq[2], 1, tmp[0], tmp[1], tmp[2]);
} else {
smallfelem_expand(nq[0], tmp[0]);
smallfelem_expand(nq[1], tmp[1]);
smallfelem_expand(nq[2], tmp[2]);
skip = 0;
}
/* second, look at the current position */
bits = get_bit(g_scalar, i + 192) << 3;
bits |= get_bit(g_scalar, i + 128) << 2;
bits |= get_bit(g_scalar, i + 64) << 1;
bits |= get_bit(g_scalar, i);
/* select the point to add, in constant time */
select_point(bits, 16, g_pre_comp[0], tmp);
/* Arg 1 below is for "mixed" */
point_add(nq[0], nq[1], nq[2],
nq[0], nq[1], nq[2], 1, tmp[0], tmp[1], tmp[2]);
}
/* do other additions every 5 doublings */
if (num_points && (i % 5 == 0)) {
/* loop over all scalars */
for (num = 0; num < num_points; ++num) {
bits = get_bit(scalars[num], i + 4) << 5;
bits |= get_bit(scalars[num], i + 3) << 4;
bits |= get_bit(scalars[num], i + 2) << 3;
bits |= get_bit(scalars[num], i + 1) << 2;
bits |= get_bit(scalars[num], i) << 1;
bits |= get_bit(scalars[num], i - 1);
ossl_ec_GFp_nistp_recode_scalar_bits(&sign, &digit, bits);
/*
* select the point to add or subtract, in constant time
*/
select_point(digit, 17, pre_comp[num], tmp);
smallfelem_neg(ftmp, tmp[1]); /* (X, -Y, Z) is the negative
* point */
copy_small_conditional(ftmp, tmp[1], (((limb) sign) - 1));
felem_contract(tmp[1], ftmp);
if (!skip) {
point_add(nq[0], nq[1], nq[2],
nq[0], nq[1], nq[2],
mixed, tmp[0], tmp[1], tmp[2]);
} else {
smallfelem_expand(nq[0], tmp[0]);
smallfelem_expand(nq[1], tmp[1]);
smallfelem_expand(nq[2], tmp[2]);
skip = 0;
}
}
}
}
felem_assign(x_out, nq[0]);
felem_assign(y_out, nq[1]);
felem_assign(z_out, nq[2]);
}
/* Precomputation for the group generator. */
struct nistp256_pre_comp_st {
smallfelem g_pre_comp[2][16][3];
CRYPTO_REF_COUNT references;
};
const EC_METHOD *EC_GFp_nistp256_method(void)
{
static const EC_METHOD ret = {
EC_FLAGS_DEFAULT_OCT,
NID_X9_62_prime_field,
ossl_ec_GFp_nistp256_group_init,
ossl_ec_GFp_simple_group_finish,
ossl_ec_GFp_simple_group_clear_finish,
ossl_ec_GFp_nist_group_copy,
ossl_ec_GFp_nistp256_group_set_curve,
ossl_ec_GFp_simple_group_get_curve,
ossl_ec_GFp_simple_group_get_degree,
ossl_ec_group_simple_order_bits,
ossl_ec_GFp_simple_group_check_discriminant,
ossl_ec_GFp_simple_point_init,
ossl_ec_GFp_simple_point_finish,
ossl_ec_GFp_simple_point_clear_finish,
ossl_ec_GFp_simple_point_copy,
ossl_ec_GFp_simple_point_set_to_infinity,
ossl_ec_GFp_simple_point_set_affine_coordinates,
ossl_ec_GFp_nistp256_point_get_affine_coordinates,
0 /* point_set_compressed_coordinates */ ,
0 /* point2oct */ ,
0 /* oct2point */ ,
ossl_ec_GFp_simple_add,
ossl_ec_GFp_simple_dbl,
ossl_ec_GFp_simple_invert,
ossl_ec_GFp_simple_is_at_infinity,
ossl_ec_GFp_simple_is_on_curve,
ossl_ec_GFp_simple_cmp,
ossl_ec_GFp_simple_make_affine,
ossl_ec_GFp_simple_points_make_affine,
ossl_ec_GFp_nistp256_points_mul,
ossl_ec_GFp_nistp256_precompute_mult,
ossl_ec_GFp_nistp256_have_precompute_mult,
ossl_ec_GFp_nist_field_mul,
ossl_ec_GFp_nist_field_sqr,
0 /* field_div */ ,
ossl_ec_GFp_simple_field_inv,
0 /* field_encode */ ,
0 /* field_decode */ ,
0, /* field_set_to_one */
ossl_ec_key_simple_priv2oct,
ossl_ec_key_simple_oct2priv,
0, /* set private */
ossl_ec_key_simple_generate_key,
ossl_ec_key_simple_check_key,
ossl_ec_key_simple_generate_public_key,
0, /* keycopy */
0, /* keyfinish */
ossl_ecdh_simple_compute_key,
ossl_ecdsa_simple_sign_setup,
ossl_ecdsa_simple_sign_sig,
ossl_ecdsa_simple_verify_sig,
0, /* field_inverse_mod_ord */
0, /* blind_coordinates */
0, /* ladder_pre */
0, /* ladder_step */
0 /* ladder_post */
};
return &ret;
}
/******************************************************************************/
/*
* FUNCTIONS TO MANAGE PRECOMPUTATION
*/
static NISTP256_PRE_COMP *nistp256_pre_comp_new(void)
{
NISTP256_PRE_COMP *ret = OPENSSL_zalloc(sizeof(*ret));
if (ret == NULL)
return ret;
if (!CRYPTO_NEW_REF(&ret->references, 1)) {
OPENSSL_free(ret);
return NULL;
}
return ret;
}
NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *p)
{
int i;
if (p != NULL)
CRYPTO_UP_REF(&p->references, &i);
return p;
}
void EC_nistp256_pre_comp_free(NISTP256_PRE_COMP *pre)
{
int i;
if (pre == NULL)
return;
CRYPTO_DOWN_REF(&pre->references, &i);
REF_PRINT_COUNT("EC_nistp256", pre);
if (i > 0)
return;
REF_ASSERT_ISNT(i < 0);
CRYPTO_FREE_REF(&pre->references);
OPENSSL_free(pre);
}
/******************************************************************************/
/*
* OPENSSL EC_METHOD FUNCTIONS
*/
int ossl_ec_GFp_nistp256_group_init(EC_GROUP *group)
{
int ret;
ret = ossl_ec_GFp_simple_group_init(group);
group->a_is_minus3 = 1;
return ret;
}
int ossl_ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p,
const BIGNUM *a, const BIGNUM *b,
BN_CTX *ctx)
{
int ret = 0;
BIGNUM *curve_p, *curve_a, *curve_b;
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
if (ctx == NULL)
ctx = new_ctx = BN_CTX_new();
#endif
if (ctx == NULL)
return 0;
BN_CTX_start(ctx);
curve_p = BN_CTX_get(ctx);
curve_a = BN_CTX_get(ctx);
curve_b = BN_CTX_get(ctx);
if (curve_b == NULL)
goto err;
BN_bin2bn(nistp256_curve_params[0], sizeof(felem_bytearray), curve_p);
BN_bin2bn(nistp256_curve_params[1], sizeof(felem_bytearray), curve_a);
BN_bin2bn(nistp256_curve_params[2], sizeof(felem_bytearray), curve_b);
if ((BN_cmp(curve_p, p)) || (BN_cmp(curve_a, a)) || (BN_cmp(curve_b, b))) {
ERR_raise(ERR_LIB_EC, EC_R_WRONG_CURVE_PARAMETERS);
goto err;
}
group->field_mod_func = BN_nist_mod_256;
ret = ossl_ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
err:
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
return ret;
}
/*
* Takes the Jacobian coordinates (X, Y, Z) of a point and returns (X', Y') =
* (X/Z^2, Y/Z^3)
*/
int ossl_ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group,
const EC_POINT *point,
BIGNUM *x, BIGNUM *y,
BN_CTX *ctx)
{
felem z1, z2, x_in, y_in;
smallfelem x_out, y_out;
longfelem tmp;
if (EC_POINT_is_at_infinity(group, point)) {
ERR_raise(ERR_LIB_EC, EC_R_POINT_AT_INFINITY);
return 0;
}
if ((!BN_to_felem(x_in, point->X)) || (!BN_to_felem(y_in, point->Y)) ||
(!BN_to_felem(z1, point->Z)))
return 0;
felem_inv(z2, z1);
felem_square(tmp, z2);
felem_reduce(z1, tmp);
felem_mul(tmp, x_in, z1);
felem_reduce(x_in, tmp);
felem_contract(x_out, x_in);
if (x != NULL) {
if (!smallfelem_to_BN(x, x_out)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return 0;
}
}
felem_mul(tmp, z1, z2);
felem_reduce(z1, tmp);
felem_mul(tmp, y_in, z1);
felem_reduce(y_in, tmp);
felem_contract(y_out, y_in);
if (y != NULL) {
if (!smallfelem_to_BN(y, y_out)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return 0;
}
}
return 1;
}
/* points below is of size |num|, and tmp_smallfelems is of size |num+1| */
static void make_points_affine(size_t num, smallfelem points[][3],
smallfelem tmp_smallfelems[])
{
/*
* Runs in constant time, unless an input is the point at infinity (which
* normally shouldn't happen).
*/
ossl_ec_GFp_nistp_points_make_affine_internal(num,
points,
sizeof(smallfelem),
tmp_smallfelems,
(void (*)(void *))smallfelem_one,
smallfelem_is_zero_int,
(void (*)(void *, const void *))
smallfelem_assign,
(void (*)(void *, const void *))
smallfelem_square_contract,
(void (*)
(void *, const void *,
const void *))
smallfelem_mul_contract,
(void (*)(void *, const void *))
smallfelem_inv_contract,
/* nothing to contract */
(void (*)(void *, const void *))
smallfelem_assign);
}
/*
* Computes scalar*generator + \sum scalars[i]*points[i], ignoring NULL
* values Result is stored in r (r can equal one of the inputs).
*/
int ossl_ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar, size_t num,
const EC_POINT *points[],
const BIGNUM *scalars[], BN_CTX *ctx)
{
int ret = 0;
int j;
int mixed = 0;
BIGNUM *x, *y, *z, *tmp_scalar;
felem_bytearray g_secret;
felem_bytearray *secrets = NULL;
smallfelem (*pre_comp)[17][3] = NULL;
smallfelem *tmp_smallfelems = NULL;
unsigned i;
int num_bytes;
int have_pre_comp = 0;
size_t num_points = num;
smallfelem x_in, y_in, z_in;
felem x_out, y_out, z_out;
NISTP256_PRE_COMP *pre = NULL;
const smallfelem(*g_pre_comp)[16][3] = NULL;
EC_POINT *generator = NULL;
const EC_POINT *p = NULL;
const BIGNUM *p_scalar = NULL;
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
z = BN_CTX_get(ctx);
tmp_scalar = BN_CTX_get(ctx);
if (tmp_scalar == NULL)
goto err;
if (scalar != NULL) {
pre = group->pre_comp.nistp256;
if (pre)
/* we have precomputation, try to use it */
g_pre_comp = (const smallfelem(*)[16][3])pre->g_pre_comp;
else
/* try to use the standard precomputation */
g_pre_comp = &gmul[0];
generator = EC_POINT_new(group);
if (generator == NULL)
goto err;
/* get the generator from precomputation */
if (!smallfelem_to_BN(x, g_pre_comp[0][1][0]) ||
!smallfelem_to_BN(y, g_pre_comp[0][1][1]) ||
!smallfelem_to_BN(z, g_pre_comp[0][1][2])) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if (!ossl_ec_GFp_simple_set_Jprojective_coordinates_GFp(group,
generator,
x, y, z, ctx))
goto err;
if (0 == EC_POINT_cmp(group, generator, group->generator, ctx))
/* precomputation matches generator */
have_pre_comp = 1;
else
/*
* we don't have valid precomputation: treat the generator as a
* random point
*/
num_points++;
}
if (num_points > 0) {
if (num_points >= 3) {
/*
* unless we precompute multiples for just one or two points,
* converting those into affine form is time well spent
*/
mixed = 1;
}
secrets = OPENSSL_malloc(sizeof(*secrets) * num_points);
pre_comp = OPENSSL_malloc(sizeof(*pre_comp) * num_points);
if (mixed)
tmp_smallfelems =
OPENSSL_malloc(sizeof(*tmp_smallfelems) * (num_points * 17 + 1));
if ((secrets == NULL) || (pre_comp == NULL)
|| (mixed && (tmp_smallfelems == NULL)))
goto err;
/*
* we treat NULL scalars as 0, and NULL points as points at infinity,
* i.e., they contribute nothing to the linear combination
*/
memset(secrets, 0, sizeof(*secrets) * num_points);
memset(pre_comp, 0, sizeof(*pre_comp) * num_points);
for (i = 0; i < num_points; ++i) {
if (i == num) {
/*
* we didn't have a valid precomputation, so we pick the
* generator
*/
p = EC_GROUP_get0_generator(group);
p_scalar = scalar;
} else {
/* the i^th point */
p = points[i];
p_scalar = scalars[i];
}
if ((p_scalar != NULL) && (p != NULL)) {
/* reduce scalar to 0 <= scalar < 2^256 */
if ((BN_num_bits(p_scalar) > 256)
|| (BN_is_negative(p_scalar))) {
/*
* this is an unusual input, and we don't guarantee
* constant-timeness
*/
if (!BN_nnmod(tmp_scalar, p_scalar, group->order, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
num_bytes = BN_bn2lebinpad(tmp_scalar,
secrets[i], sizeof(secrets[i]));
} else {
num_bytes = BN_bn2lebinpad(p_scalar,
secrets[i], sizeof(secrets[i]));
}
if (num_bytes < 0) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* precompute multiples */
if ((!BN_to_felem(x_out, p->X)) ||
(!BN_to_felem(y_out, p->Y)) ||
(!BN_to_felem(z_out, p->Z)))
goto err;
felem_shrink(pre_comp[i][1][0], x_out);
felem_shrink(pre_comp[i][1][1], y_out);
felem_shrink(pre_comp[i][1][2], z_out);
for (j = 2; j <= 16; ++j) {
if (j & 1) {
point_add_small(pre_comp[i][j][0], pre_comp[i][j][1],
pre_comp[i][j][2], pre_comp[i][1][0],
pre_comp[i][1][1], pre_comp[i][1][2],
pre_comp[i][j - 1][0],
pre_comp[i][j - 1][1],
pre_comp[i][j - 1][2]);
} else {
point_double_small(pre_comp[i][j][0],
pre_comp[i][j][1],
pre_comp[i][j][2],
pre_comp[i][j / 2][0],
pre_comp[i][j / 2][1],
pre_comp[i][j / 2][2]);
}
}
}
}
if (mixed)
make_points_affine(num_points * 17, pre_comp[0], tmp_smallfelems);
}
/* the scalar for the generator */
if ((scalar != NULL) && (have_pre_comp)) {
memset(g_secret, 0, sizeof(g_secret));
/* reduce scalar to 0 <= scalar < 2^256 */
if ((BN_num_bits(scalar) > 256) || (BN_is_negative(scalar))) {
/*
* this is an unusual input, and we don't guarantee
* constant-timeness
*/
if (!BN_nnmod(tmp_scalar, scalar, group->order, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
num_bytes = BN_bn2lebinpad(tmp_scalar, g_secret, sizeof(g_secret));
} else {
num_bytes = BN_bn2lebinpad(scalar, g_secret, sizeof(g_secret));
}
/* do the multiplication with generator precomputation */
batch_mul(x_out, y_out, z_out,
(const felem_bytearray(*))secrets, num_points,
g_secret,
mixed, (const smallfelem(*)[17][3])pre_comp, g_pre_comp);
} else {
/* do the multiplication without generator precomputation */
batch_mul(x_out, y_out, z_out,
(const felem_bytearray(*))secrets, num_points,
NULL, mixed, (const smallfelem(*)[17][3])pre_comp, NULL);
}
/* reduce the output to its unique minimal representation */
felem_contract(x_in, x_out);
felem_contract(y_in, y_out);
felem_contract(z_in, z_out);
if ((!smallfelem_to_BN(x, x_in)) || (!smallfelem_to_BN(y, y_in)) ||
(!smallfelem_to_BN(z, z_in))) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
ret = ossl_ec_GFp_simple_set_Jprojective_coordinates_GFp(group, r, x, y, z,
ctx);
err:
BN_CTX_end(ctx);
EC_POINT_free(generator);
OPENSSL_free(secrets);
OPENSSL_free(pre_comp);
OPENSSL_free(tmp_smallfelems);
return ret;
}
int ossl_ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
{
int ret = 0;
NISTP256_PRE_COMP *pre = NULL;
int i, j;
BIGNUM *x, *y;
EC_POINT *generator = NULL;
smallfelem tmp_smallfelems[32];
felem x_tmp, y_tmp, z_tmp;
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
#endif
/* throw away old precomputation */
EC_pre_comp_free(group);
#ifndef FIPS_MODULE
if (ctx == NULL)
ctx = new_ctx = BN_CTX_new();
#endif
if (ctx == NULL)
return 0;
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
if (y == NULL)
goto err;
/* get the generator */
if (group->generator == NULL)
goto err;
generator = EC_POINT_new(group);
if (generator == NULL)
goto err;
BN_bin2bn(nistp256_curve_params[3], sizeof(felem_bytearray), x);
BN_bin2bn(nistp256_curve_params[4], sizeof(felem_bytearray), y);
if (!EC_POINT_set_affine_coordinates(group, generator, x, y, ctx))
goto err;
if ((pre = nistp256_pre_comp_new()) == NULL)
goto err;
/*
* if the generator is the standard one, use built-in precomputation
*/
if (0 == EC_POINT_cmp(group, generator, group->generator, ctx)) {
memcpy(pre->g_pre_comp, gmul, sizeof(pre->g_pre_comp));
goto done;
}
if ((!BN_to_felem(x_tmp, group->generator->X)) ||
(!BN_to_felem(y_tmp, group->generator->Y)) ||
(!BN_to_felem(z_tmp, group->generator->Z)))
goto err;
felem_shrink(pre->g_pre_comp[0][1][0], x_tmp);
felem_shrink(pre->g_pre_comp[0][1][1], y_tmp);
felem_shrink(pre->g_pre_comp[0][1][2], z_tmp);
/*
* compute 2^64*G, 2^128*G, 2^192*G for the first table, 2^32*G, 2^96*G,
* 2^160*G, 2^224*G for the second one
*/
for (i = 1; i <= 8; i <<= 1) {
point_double_small(pre->g_pre_comp[1][i][0], pre->g_pre_comp[1][i][1],
pre->g_pre_comp[1][i][2], pre->g_pre_comp[0][i][0],
pre->g_pre_comp[0][i][1],
pre->g_pre_comp[0][i][2]);
for (j = 0; j < 31; ++j) {
point_double_small(pre->g_pre_comp[1][i][0],
pre->g_pre_comp[1][i][1],
pre->g_pre_comp[1][i][2],
pre->g_pre_comp[1][i][0],
pre->g_pre_comp[1][i][1],
pre->g_pre_comp[1][i][2]);
}
if (i == 8)
break;
point_double_small(pre->g_pre_comp[0][2 * i][0],
pre->g_pre_comp[0][2 * i][1],
pre->g_pre_comp[0][2 * i][2],
pre->g_pre_comp[1][i][0], pre->g_pre_comp[1][i][1],
pre->g_pre_comp[1][i][2]);
for (j = 0; j < 31; ++j) {
point_double_small(pre->g_pre_comp[0][2 * i][0],
pre->g_pre_comp[0][2 * i][1],
pre->g_pre_comp[0][2 * i][2],
pre->g_pre_comp[0][2 * i][0],
pre->g_pre_comp[0][2 * i][1],
pre->g_pre_comp[0][2 * i][2]);
}
}
for (i = 0; i < 2; i++) {
/* g_pre_comp[i][0] is the point at infinity */
memset(pre->g_pre_comp[i][0], 0, sizeof(pre->g_pre_comp[i][0]));
/* the remaining multiples */
/* 2^64*G + 2^128*G resp. 2^96*G + 2^160*G */
point_add_small(pre->g_pre_comp[i][6][0], pre->g_pre_comp[i][6][1],
pre->g_pre_comp[i][6][2], pre->g_pre_comp[i][4][0],
pre->g_pre_comp[i][4][1], pre->g_pre_comp[i][4][2],
pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1],
pre->g_pre_comp[i][2][2]);
/* 2^64*G + 2^192*G resp. 2^96*G + 2^224*G */
point_add_small(pre->g_pre_comp[i][10][0], pre->g_pre_comp[i][10][1],
pre->g_pre_comp[i][10][2], pre->g_pre_comp[i][8][0],
pre->g_pre_comp[i][8][1], pre->g_pre_comp[i][8][2],
pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1],
pre->g_pre_comp[i][2][2]);
/* 2^128*G + 2^192*G resp. 2^160*G + 2^224*G */
point_add_small(pre->g_pre_comp[i][12][0], pre->g_pre_comp[i][12][1],
pre->g_pre_comp[i][12][2], pre->g_pre_comp[i][8][0],
pre->g_pre_comp[i][8][1], pre->g_pre_comp[i][8][2],
pre->g_pre_comp[i][4][0], pre->g_pre_comp[i][4][1],
pre->g_pre_comp[i][4][2]);
/*
* 2^64*G + 2^128*G + 2^192*G resp. 2^96*G + 2^160*G + 2^224*G
*/
point_add_small(pre->g_pre_comp[i][14][0], pre->g_pre_comp[i][14][1],
pre->g_pre_comp[i][14][2], pre->g_pre_comp[i][12][0],
pre->g_pre_comp[i][12][1], pre->g_pre_comp[i][12][2],
pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1],
pre->g_pre_comp[i][2][2]);
for (j = 1; j < 8; ++j) {
/* odd multiples: add G resp. 2^32*G */
point_add_small(pre->g_pre_comp[i][2 * j + 1][0],
pre->g_pre_comp[i][2 * j + 1][1],
pre->g_pre_comp[i][2 * j + 1][2],
pre->g_pre_comp[i][2 * j][0],
pre->g_pre_comp[i][2 * j][1],
pre->g_pre_comp[i][2 * j][2],
pre->g_pre_comp[i][1][0],
pre->g_pre_comp[i][1][1],
pre->g_pre_comp[i][1][2]);
}
}
make_points_affine(31, &(pre->g_pre_comp[0][1]), tmp_smallfelems);
done:
SETPRECOMP(group, nistp256, pre);
pre = NULL;
ret = 1;
err:
BN_CTX_end(ctx);
EC_POINT_free(generator);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
EC_nistp256_pre_comp_free(pre);
return ret;
}
int ossl_ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group)
{
return HAVEPRECOMP(group, nistp256);
}
|
./openssl/crypto/ec/ecp_nistp224.c | /*
* Copyright 2010-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/* Copyright 2011 Google Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
*
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
/*
* A 64-bit implementation of the NIST P-224 elliptic curve point multiplication
*
* Inspired by Daniel J. Bernstein's public domain nistp224 implementation
* and Adam Langley's public domain 64-bit C implementation of curve25519
*/
#include <openssl/opensslconf.h>
#include <stdint.h>
#include <string.h>
#include <openssl/err.h>
#include "ec_local.h"
#include "internal/numbers.h"
#ifndef INT128_MAX
# error "Your compiler doesn't appear to support 128-bit integer types"
#endif
typedef uint8_t u8;
typedef uint64_t u64;
/******************************************************************************/
/*-
* INTERNAL REPRESENTATION OF FIELD ELEMENTS
*
* Field elements are represented as a_0 + 2^56*a_1 + 2^112*a_2 + 2^168*a_3
* using 64-bit coefficients called 'limbs',
* and sometimes (for multiplication results) as
* b_0 + 2^56*b_1 + 2^112*b_2 + 2^168*b_3 + 2^224*b_4 + 2^280*b_5 + 2^336*b_6
* using 128-bit coefficients called 'widelimbs'.
* A 4-limb representation is an 'felem';
* a 7-widelimb representation is a 'widefelem'.
* Even within felems, bits of adjacent limbs overlap, and we don't always
* reduce the representations: we ensure that inputs to each felem
* multiplication satisfy a_i < 2^60, so outputs satisfy b_i < 4*2^60*2^60,
* and fit into a 128-bit word without overflow. The coefficients are then
* again partially reduced to obtain an felem satisfying a_i < 2^57.
* We only reduce to the unique minimal representation at the end of the
* computation.
*/
typedef uint64_t limb;
typedef uint64_t limb_aX __attribute((__aligned__(1)));
typedef uint128_t widelimb;
typedef limb felem[4];
typedef widelimb widefelem[7];
/*
* Field element represented as a byte array. 28*8 = 224 bits is also the
* group order size for the elliptic curve, and we also use this type for
* scalars for point multiplication.
*/
typedef u8 felem_bytearray[28];
static const felem_bytearray nistp224_curve_params[5] = {
{0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, /* p */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01},
{0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, /* a */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE},
{0xB4, 0x05, 0x0A, 0x85, 0x0C, 0x04, 0xB3, 0xAB, 0xF5, 0x41, /* b */
0x32, 0x56, 0x50, 0x44, 0xB0, 0xB7, 0xD7, 0xBF, 0xD8, 0xBA,
0x27, 0x0B, 0x39, 0x43, 0x23, 0x55, 0xFF, 0xB4},
{0xB7, 0x0E, 0x0C, 0xBD, 0x6B, 0xB4, 0xBF, 0x7F, 0x32, 0x13, /* x */
0x90, 0xB9, 0x4A, 0x03, 0xC1, 0xD3, 0x56, 0xC2, 0x11, 0x22,
0x34, 0x32, 0x80, 0xD6, 0x11, 0x5C, 0x1D, 0x21},
{0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22, /* y */
0xdf, 0xe6, 0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, 0x47, 0x64,
0x44, 0xd5, 0x81, 0x99, 0x85, 0x00, 0x7e, 0x34}
};
/*-
* Precomputed multiples of the standard generator
* Points are given in coordinates (X, Y, Z) where Z normally is 1
* (0 for the point at infinity).
* For each field element, slice a_0 is word 0, etc.
*
* The table has 2 * 16 elements, starting with the following:
* index | bits | point
* ------+---------+------------------------------
* 0 | 0 0 0 0 | 0G
* 1 | 0 0 0 1 | 1G
* 2 | 0 0 1 0 | 2^56G
* 3 | 0 0 1 1 | (2^56 + 1)G
* 4 | 0 1 0 0 | 2^112G
* 5 | 0 1 0 1 | (2^112 + 1)G
* 6 | 0 1 1 0 | (2^112 + 2^56)G
* 7 | 0 1 1 1 | (2^112 + 2^56 + 1)G
* 8 | 1 0 0 0 | 2^168G
* 9 | 1 0 0 1 | (2^168 + 1)G
* 10 | 1 0 1 0 | (2^168 + 2^56)G
* 11 | 1 0 1 1 | (2^168 + 2^56 + 1)G
* 12 | 1 1 0 0 | (2^168 + 2^112)G
* 13 | 1 1 0 1 | (2^168 + 2^112 + 1)G
* 14 | 1 1 1 0 | (2^168 + 2^112 + 2^56)G
* 15 | 1 1 1 1 | (2^168 + 2^112 + 2^56 + 1)G
* followed by a copy of this with each element multiplied by 2^28.
*
* The reason for this is so that we can clock bits into four different
* locations when doing simple scalar multiplies against the base point,
* and then another four locations using the second 16 elements.
*/
static const felem gmul[2][16][3] = {
{{{0, 0, 0, 0},
{0, 0, 0, 0},
{0, 0, 0, 0}},
{{0x3280d6115c1d21, 0xc1d356c2112234, 0x7f321390b94a03, 0xb70e0cbd6bb4bf},
{0xd5819985007e34, 0x75a05a07476444, 0xfb4c22dfe6cd43, 0xbd376388b5f723},
{1, 0, 0, 0}},
{{0xfd9675666ebbe9, 0xbca7664d40ce5e, 0x2242df8d8a2a43, 0x1f49bbb0f99bc5},
{0x29e0b892dc9c43, 0xece8608436e662, 0xdc858f185310d0, 0x9812dd4eb8d321},
{1, 0, 0, 0}},
{{0x6d3e678d5d8eb8, 0x559eed1cb362f1, 0x16e9a3bbce8a3f, 0xeedcccd8c2a748},
{0xf19f90ed50266d, 0xabf2b4bf65f9df, 0x313865468fafec, 0x5cb379ba910a17},
{1, 0, 0, 0}},
{{0x0641966cab26e3, 0x91fb2991fab0a0, 0xefec27a4e13a0b, 0x0499aa8a5f8ebe},
{0x7510407766af5d, 0x84d929610d5450, 0x81d77aae82f706, 0x6916f6d4338c5b},
{1, 0, 0, 0}},
{{0xea95ac3b1f15c6, 0x086000905e82d4, 0xdd323ae4d1c8b1, 0x932b56be7685a3},
{0x9ef93dea25dbbf, 0x41665960f390f0, 0xfdec76dbe2a8a7, 0x523e80f019062a},
{1, 0, 0, 0}},
{{0x822fdd26732c73, 0xa01c83531b5d0f, 0x363f37347c1ba4, 0xc391b45c84725c},
{0xbbd5e1b2d6ad24, 0xddfbcde19dfaec, 0xc393da7e222a7f, 0x1efb7890ede244},
{1, 0, 0, 0}},
{{0x4c9e90ca217da1, 0xd11beca79159bb, 0xff8d33c2c98b7c, 0x2610b39409f849},
{0x44d1352ac64da0, 0xcdbb7b2c46b4fb, 0x966c079b753c89, 0xfe67e4e820b112},
{1, 0, 0, 0}},
{{0xe28cae2df5312d, 0xc71b61d16f5c6e, 0x79b7619a3e7c4c, 0x05c73240899b47},
{0x9f7f6382c73e3a, 0x18615165c56bda, 0x641fab2116fd56, 0x72855882b08394},
{1, 0, 0, 0}},
{{0x0469182f161c09, 0x74a98ca8d00fb5, 0xb89da93489a3e0, 0x41c98768fb0c1d},
{0xe5ea05fb32da81, 0x3dce9ffbca6855, 0x1cfe2d3fbf59e6, 0x0e5e03408738a7},
{1, 0, 0, 0}},
{{0xdab22b2333e87f, 0x4430137a5dd2f6, 0xe03ab9f738beb8, 0xcb0c5d0dc34f24},
{0x764a7df0c8fda5, 0x185ba5c3fa2044, 0x9281d688bcbe50, 0xc40331df893881},
{1, 0, 0, 0}},
{{0xb89530796f0f60, 0xade92bd26909a3, 0x1a0c83fb4884da, 0x1765bf22a5a984},
{0x772a9ee75db09e, 0x23bc6c67cec16f, 0x4c1edba8b14e2f, 0xe2a215d9611369},
{1, 0, 0, 0}},
{{0x571e509fb5efb3, 0xade88696410552, 0xc8ae85fada74fe, 0x6c7e4be83bbde3},
{0xff9f51160f4652, 0xb47ce2495a6539, 0xa2946c53b582f4, 0x286d2db3ee9a60},
{1, 0, 0, 0}},
{{0x40bbd5081a44af, 0x0995183b13926c, 0xbcefba6f47f6d0, 0x215619e9cc0057},
{0x8bc94d3b0df45e, 0xf11c54a3694f6f, 0x8631b93cdfe8b5, 0xe7e3f4b0982db9},
{1, 0, 0, 0}},
{{0xb17048ab3e1c7b, 0xac38f36ff8a1d8, 0x1c29819435d2c6, 0xc813132f4c07e9},
{0x2891425503b11f, 0x08781030579fea, 0xf5426ba5cc9674, 0x1e28ebf18562bc},
{1, 0, 0, 0}},
{{0x9f31997cc864eb, 0x06cd91d28b5e4c, 0xff17036691a973, 0xf1aef351497c58},
{0xdd1f2d600564ff, 0xdead073b1402db, 0x74a684435bd693, 0xeea7471f962558},
{1, 0, 0, 0}}},
{{{0, 0, 0, 0},
{0, 0, 0, 0},
{0, 0, 0, 0}},
{{0x9665266dddf554, 0x9613d78b60ef2d, 0xce27a34cdba417, 0xd35ab74d6afc31},
{0x85ccdd22deb15e, 0x2137e5783a6aab, 0xa141cffd8c93c6, 0x355a1830e90f2d},
{1, 0, 0, 0}},
{{0x1a494eadaade65, 0xd6da4da77fe53c, 0xe7992996abec86, 0x65c3553c6090e3},
{0xfa610b1fb09346, 0xf1c6540b8a4aaf, 0xc51a13ccd3cbab, 0x02995b1b18c28a},
{1, 0, 0, 0}},
{{0x7874568e7295ef, 0x86b419fbe38d04, 0xdc0690a7550d9a, 0xd3966a44beac33},
{0x2b7280ec29132f, 0xbeaa3b6a032df3, 0xdc7dd88ae41200, 0xd25e2513e3a100},
{1, 0, 0, 0}},
{{0x924857eb2efafd, 0xac2bce41223190, 0x8edaa1445553fc, 0x825800fd3562d5},
{0x8d79148ea96621, 0x23a01c3dd9ed8d, 0xaf8b219f9416b5, 0xd8db0cc277daea},
{1, 0, 0, 0}},
{{0x76a9c3b1a700f0, 0xe9acd29bc7e691, 0x69212d1a6b0327, 0x6322e97fe154be},
{0x469fc5465d62aa, 0x8d41ed18883b05, 0x1f8eae66c52b88, 0xe4fcbe9325be51},
{1, 0, 0, 0}},
{{0x825fdf583cac16, 0x020b857c7b023a, 0x683c17744b0165, 0x14ffd0a2daf2f1},
{0x323b36184218f9, 0x4944ec4e3b47d4, 0xc15b3080841acf, 0x0bced4b01a28bb},
{1, 0, 0, 0}},
{{0x92ac22230df5c4, 0x52f33b4063eda8, 0xcb3f19870c0c93, 0x40064f2ba65233},
{0xfe16f0924f8992, 0x012da25af5b517, 0x1a57bb24f723a6, 0x06f8bc76760def},
{1, 0, 0, 0}},
{{0x4a7084f7817cb9, 0xbcab0738ee9a78, 0x3ec11e11d9c326, 0xdc0fe90e0f1aae},
{0xcf639ea5f98390, 0x5c350aa22ffb74, 0x9afae98a4047b7, 0x956ec2d617fc45},
{1, 0, 0, 0}},
{{0x4306d648c1be6a, 0x9247cd8bc9a462, 0xf5595e377d2f2e, 0xbd1c3caff1a52e},
{0x045e14472409d0, 0x29f3e17078f773, 0x745a602b2d4f7d, 0x191837685cdfbb},
{1, 0, 0, 0}},
{{0x5b6ee254a8cb79, 0x4953433f5e7026, 0xe21faeb1d1def4, 0xc4c225785c09de},
{0x307ce7bba1e518, 0x31b125b1036db8, 0x47e91868839e8f, 0xc765866e33b9f3},
{1, 0, 0, 0}},
{{0x3bfece24f96906, 0x4794da641e5093, 0xde5df64f95db26, 0x297ecd89714b05},
{0x701bd3ebb2c3aa, 0x7073b4f53cb1d5, 0x13c5665658af16, 0x9895089d66fe58},
{1, 0, 0, 0}},
{{0x0fef05f78c4790, 0x2d773633b05d2e, 0x94229c3a951c94, 0xbbbd70df4911bb},
{0xb2c6963d2c1168, 0x105f47a72b0d73, 0x9fdf6111614080, 0x7b7e94b39e67b0},
{1, 0, 0, 0}},
{{0xad1a7d6efbe2b3, 0xf012482c0da69d, 0x6b3bdf12438345, 0x40d7558d7aa4d9},
{0x8a09fffb5c6d3d, 0x9a356e5d9ffd38, 0x5973f15f4f9b1c, 0xdcd5f59f63c3ea},
{1, 0, 0, 0}},
{{0xacf39f4c5ca7ab, 0x4c8071cc5fd737, 0xc64e3602cd1184, 0x0acd4644c9abba},
{0x6c011a36d8bf6e, 0xfecd87ba24e32a, 0x19f6f56574fad8, 0x050b204ced9405},
{1, 0, 0, 0}},
{{0xed4f1cae7d9a96, 0x5ceef7ad94c40a, 0x778e4a3bf3ef9b, 0x7405783dc3b55e},
{0x32477c61b6e8c6, 0xb46a97570f018b, 0x91176d0a7e95d1, 0x3df90fbc4c7d0e},
{1, 0, 0, 0}}}
};
/* Precomputation for the group generator. */
struct nistp224_pre_comp_st {
felem g_pre_comp[2][16][3];
CRYPTO_REF_COUNT references;
};
const EC_METHOD *EC_GFp_nistp224_method(void)
{
static const EC_METHOD ret = {
EC_FLAGS_DEFAULT_OCT,
NID_X9_62_prime_field,
ossl_ec_GFp_nistp224_group_init,
ossl_ec_GFp_simple_group_finish,
ossl_ec_GFp_simple_group_clear_finish,
ossl_ec_GFp_nist_group_copy,
ossl_ec_GFp_nistp224_group_set_curve,
ossl_ec_GFp_simple_group_get_curve,
ossl_ec_GFp_simple_group_get_degree,
ossl_ec_group_simple_order_bits,
ossl_ec_GFp_simple_group_check_discriminant,
ossl_ec_GFp_simple_point_init,
ossl_ec_GFp_simple_point_finish,
ossl_ec_GFp_simple_point_clear_finish,
ossl_ec_GFp_simple_point_copy,
ossl_ec_GFp_simple_point_set_to_infinity,
ossl_ec_GFp_simple_point_set_affine_coordinates,
ossl_ec_GFp_nistp224_point_get_affine_coordinates,
0 /* point_set_compressed_coordinates */ ,
0 /* point2oct */ ,
0 /* oct2point */ ,
ossl_ec_GFp_simple_add,
ossl_ec_GFp_simple_dbl,
ossl_ec_GFp_simple_invert,
ossl_ec_GFp_simple_is_at_infinity,
ossl_ec_GFp_simple_is_on_curve,
ossl_ec_GFp_simple_cmp,
ossl_ec_GFp_simple_make_affine,
ossl_ec_GFp_simple_points_make_affine,
ossl_ec_GFp_nistp224_points_mul,
ossl_ec_GFp_nistp224_precompute_mult,
ossl_ec_GFp_nistp224_have_precompute_mult,
ossl_ec_GFp_nist_field_mul,
ossl_ec_GFp_nist_field_sqr,
0 /* field_div */ ,
ossl_ec_GFp_simple_field_inv,
0 /* field_encode */ ,
0 /* field_decode */ ,
0, /* field_set_to_one */
ossl_ec_key_simple_priv2oct,
ossl_ec_key_simple_oct2priv,
0, /* set private */
ossl_ec_key_simple_generate_key,
ossl_ec_key_simple_check_key,
ossl_ec_key_simple_generate_public_key,
0, /* keycopy */
0, /* keyfinish */
ossl_ecdh_simple_compute_key,
ossl_ecdsa_simple_sign_setup,
ossl_ecdsa_simple_sign_sig,
ossl_ecdsa_simple_verify_sig,
0, /* field_inverse_mod_ord */
0, /* blind_coordinates */
0, /* ladder_pre */
0, /* ladder_step */
0 /* ladder_post */
};
return &ret;
}
/*
* Helper functions to convert field elements to/from internal representation
*/
static void bin28_to_felem(felem out, const u8 in[28])
{
out[0] = *((const limb *)(in)) & 0x00ffffffffffffff;
out[1] = (*((const limb_aX *)(in + 7))) & 0x00ffffffffffffff;
out[2] = (*((const limb_aX *)(in + 14))) & 0x00ffffffffffffff;
out[3] = (*((const limb_aX *)(in + 20))) >> 8;
}
static void felem_to_bin28(u8 out[28], const felem in)
{
unsigned i;
for (i = 0; i < 7; ++i) {
out[i] = in[0] >> (8 * i);
out[i + 7] = in[1] >> (8 * i);
out[i + 14] = in[2] >> (8 * i);
out[i + 21] = in[3] >> (8 * i);
}
}
/* From OpenSSL BIGNUM to internal representation */
static int BN_to_felem(felem out, const BIGNUM *bn)
{
felem_bytearray b_out;
int num_bytes;
if (BN_is_negative(bn)) {
ERR_raise(ERR_LIB_EC, EC_R_BIGNUM_OUT_OF_RANGE);
return 0;
}
num_bytes = BN_bn2lebinpad(bn, b_out, sizeof(b_out));
if (num_bytes < 0) {
ERR_raise(ERR_LIB_EC, EC_R_BIGNUM_OUT_OF_RANGE);
return 0;
}
bin28_to_felem(out, b_out);
return 1;
}
/* From internal representation to OpenSSL BIGNUM */
static BIGNUM *felem_to_BN(BIGNUM *out, const felem in)
{
felem_bytearray b_out;
felem_to_bin28(b_out, in);
return BN_lebin2bn(b_out, sizeof(b_out), out);
}
/******************************************************************************/
/*-
* FIELD OPERATIONS
*
* Field operations, using the internal representation of field elements.
* NB! These operations are specific to our point multiplication and cannot be
* expected to be correct in general - e.g., multiplication with a large scalar
* will cause an overflow.
*
*/
static void felem_one(felem out)
{
out[0] = 1;
out[1] = 0;
out[2] = 0;
out[3] = 0;
}
static void felem_assign(felem out, const felem in)
{
out[0] = in[0];
out[1] = in[1];
out[2] = in[2];
out[3] = in[3];
}
/* Sum two field elements: out += in */
static void felem_sum(felem out, const felem in)
{
out[0] += in[0];
out[1] += in[1];
out[2] += in[2];
out[3] += in[3];
}
/* Subtract field elements: out -= in */
/* Assumes in[i] < 2^57 */
static void felem_diff(felem out, const felem in)
{
static const limb two58p2 = (((limb) 1) << 58) + (((limb) 1) << 2);
static const limb two58m2 = (((limb) 1) << 58) - (((limb) 1) << 2);
static const limb two58m42m2 = (((limb) 1) << 58) -
(((limb) 1) << 42) - (((limb) 1) << 2);
/* Add 0 mod 2^224-2^96+1 to ensure out > in */
out[0] += two58p2;
out[1] += two58m42m2;
out[2] += two58m2;
out[3] += two58m2;
out[0] -= in[0];
out[1] -= in[1];
out[2] -= in[2];
out[3] -= in[3];
}
/* Subtract in unreduced 128-bit mode: out -= in */
/* Assumes in[i] < 2^119 */
static void widefelem_diff(widefelem out, const widefelem in)
{
static const widelimb two120 = ((widelimb) 1) << 120;
static const widelimb two120m64 = (((widelimb) 1) << 120) -
(((widelimb) 1) << 64);
static const widelimb two120m104m64 = (((widelimb) 1) << 120) -
(((widelimb) 1) << 104) - (((widelimb) 1) << 64);
/* Add 0 mod 2^224-2^96+1 to ensure out > in */
out[0] += two120;
out[1] += two120m64;
out[2] += two120m64;
out[3] += two120;
out[4] += two120m104m64;
out[5] += two120m64;
out[6] += two120m64;
out[0] -= in[0];
out[1] -= in[1];
out[2] -= in[2];
out[3] -= in[3];
out[4] -= in[4];
out[5] -= in[5];
out[6] -= in[6];
}
/* Subtract in mixed mode: out128 -= in64 */
/* in[i] < 2^63 */
static void felem_diff_128_64(widefelem out, const felem in)
{
static const widelimb two64p8 = (((widelimb) 1) << 64) +
(((widelimb) 1) << 8);
static const widelimb two64m8 = (((widelimb) 1) << 64) -
(((widelimb) 1) << 8);
static const widelimb two64m48m8 = (((widelimb) 1) << 64) -
(((widelimb) 1) << 48) - (((widelimb) 1) << 8);
/* Add 0 mod 2^224-2^96+1 to ensure out > in */
out[0] += two64p8;
out[1] += two64m48m8;
out[2] += two64m8;
out[3] += two64m8;
out[0] -= in[0];
out[1] -= in[1];
out[2] -= in[2];
out[3] -= in[3];
}
/*
* Multiply a field element by a scalar: out = out * scalar The scalars we
* actually use are small, so results fit without overflow
*/
static void felem_scalar(felem out, const limb scalar)
{
out[0] *= scalar;
out[1] *= scalar;
out[2] *= scalar;
out[3] *= scalar;
}
/*
* Multiply an unreduced field element by a scalar: out = out * scalar The
* scalars we actually use are small, so results fit without overflow
*/
static void widefelem_scalar(widefelem out, const widelimb scalar)
{
out[0] *= scalar;
out[1] *= scalar;
out[2] *= scalar;
out[3] *= scalar;
out[4] *= scalar;
out[5] *= scalar;
out[6] *= scalar;
}
/* Square a field element: out = in^2 */
static void felem_square(widefelem out, const felem in)
{
limb tmp0, tmp1, tmp2;
tmp0 = 2 * in[0];
tmp1 = 2 * in[1];
tmp2 = 2 * in[2];
out[0] = ((widelimb) in[0]) * in[0];
out[1] = ((widelimb) in[0]) * tmp1;
out[2] = ((widelimb) in[0]) * tmp2 + ((widelimb) in[1]) * in[1];
out[3] = ((widelimb) in[3]) * tmp0 + ((widelimb) in[1]) * tmp2;
out[4] = ((widelimb) in[3]) * tmp1 + ((widelimb) in[2]) * in[2];
out[5] = ((widelimb) in[3]) * tmp2;
out[6] = ((widelimb) in[3]) * in[3];
}
/* Multiply two field elements: out = in1 * in2 */
static void felem_mul(widefelem out, const felem in1, const felem in2)
{
out[0] = ((widelimb) in1[0]) * in2[0];
out[1] = ((widelimb) in1[0]) * in2[1] + ((widelimb) in1[1]) * in2[0];
out[2] = ((widelimb) in1[0]) * in2[2] + ((widelimb) in1[1]) * in2[1] +
((widelimb) in1[2]) * in2[0];
out[3] = ((widelimb) in1[0]) * in2[3] + ((widelimb) in1[1]) * in2[2] +
((widelimb) in1[2]) * in2[1] + ((widelimb) in1[3]) * in2[0];
out[4] = ((widelimb) in1[1]) * in2[3] + ((widelimb) in1[2]) * in2[2] +
((widelimb) in1[3]) * in2[1];
out[5] = ((widelimb) in1[2]) * in2[3] + ((widelimb) in1[3]) * in2[2];
out[6] = ((widelimb) in1[3]) * in2[3];
}
/*-
* Reduce seven 128-bit coefficients to four 64-bit coefficients.
* Requires in[i] < 2^126,
* ensures out[0] < 2^56, out[1] < 2^56, out[2] < 2^56, out[3] <= 2^56 + 2^16 */
static void felem_reduce(felem out, const widefelem in)
{
static const widelimb two127p15 = (((widelimb) 1) << 127) +
(((widelimb) 1) << 15);
static const widelimb two127m71 = (((widelimb) 1) << 127) -
(((widelimb) 1) << 71);
static const widelimb two127m71m55 = (((widelimb) 1) << 127) -
(((widelimb) 1) << 71) - (((widelimb) 1) << 55);
widelimb output[5];
/* Add 0 mod 2^224-2^96+1 to ensure all differences are positive */
output[0] = in[0] + two127p15;
output[1] = in[1] + two127m71m55;
output[2] = in[2] + two127m71;
output[3] = in[3];
output[4] = in[4];
/* Eliminate in[4], in[5], in[6] */
output[4] += in[6] >> 16;
output[3] += (in[6] & 0xffff) << 40;
output[2] -= in[6];
output[3] += in[5] >> 16;
output[2] += (in[5] & 0xffff) << 40;
output[1] -= in[5];
output[2] += output[4] >> 16;
output[1] += (output[4] & 0xffff) << 40;
output[0] -= output[4];
/* Carry 2 -> 3 -> 4 */
output[3] += output[2] >> 56;
output[2] &= 0x00ffffffffffffff;
output[4] = output[3] >> 56;
output[3] &= 0x00ffffffffffffff;
/* Now output[2] < 2^56, output[3] < 2^56, output[4] < 2^72 */
/* Eliminate output[4] */
output[2] += output[4] >> 16;
/* output[2] < 2^56 + 2^56 = 2^57 */
output[1] += (output[4] & 0xffff) << 40;
output[0] -= output[4];
/* Carry 0 -> 1 -> 2 -> 3 */
output[1] += output[0] >> 56;
out[0] = output[0] & 0x00ffffffffffffff;
output[2] += output[1] >> 56;
/* output[2] < 2^57 + 2^72 */
out[1] = output[1] & 0x00ffffffffffffff;
output[3] += output[2] >> 56;
/* output[3] <= 2^56 + 2^16 */
out[2] = output[2] & 0x00ffffffffffffff;
/*-
* out[0] < 2^56, out[1] < 2^56, out[2] < 2^56,
* out[3] <= 2^56 + 2^16 (due to final carry),
* so out < 2*p
*/
out[3] = output[3];
}
static void felem_square_reduce(felem out, const felem in)
{
widefelem tmp;
felem_square(tmp, in);
felem_reduce(out, tmp);
}
static void felem_mul_reduce(felem out, const felem in1, const felem in2)
{
widefelem tmp;
felem_mul(tmp, in1, in2);
felem_reduce(out, tmp);
}
/*
* Reduce to unique minimal representation. Requires 0 <= in < 2*p (always
* call felem_reduce first)
*/
static void felem_contract(felem out, const felem in)
{
static const int64_t two56 = ((limb) 1) << 56;
/* 0 <= in < 2*p, p = 2^224 - 2^96 + 1 */
/* if in > p , reduce in = in - 2^224 + 2^96 - 1 */
int64_t tmp[4], a;
tmp[0] = in[0];
tmp[1] = in[1];
tmp[2] = in[2];
tmp[3] = in[3];
/* Case 1: a = 1 iff in >= 2^224 */
a = (in[3] >> 56);
tmp[0] -= a;
tmp[1] += a << 40;
tmp[3] &= 0x00ffffffffffffff;
/*
* Case 2: a = 0 iff p <= in < 2^224, i.e., the high 128 bits are all 1
* and the lower part is non-zero
*/
a = ((in[3] & in[2] & (in[1] | 0x000000ffffffffff)) + 1) |
(((int64_t) (in[0] + (in[1] & 0x000000ffffffffff)) - 1) >> 63);
a &= 0x00ffffffffffffff;
/* turn a into an all-one mask (if a = 0) or an all-zero mask */
a = (a - 1) >> 63;
/* subtract 2^224 - 2^96 + 1 if a is all-one */
tmp[3] &= a ^ 0xffffffffffffffff;
tmp[2] &= a ^ 0xffffffffffffffff;
tmp[1] &= (a ^ 0xffffffffffffffff) | 0x000000ffffffffff;
tmp[0] -= 1 & a;
/*
* eliminate negative coefficients: if tmp[0] is negative, tmp[1] must be
* non-zero, so we only need one step
*/
a = tmp[0] >> 63;
tmp[0] += two56 & a;
tmp[1] -= 1 & a;
/* carry 1 -> 2 -> 3 */
tmp[2] += tmp[1] >> 56;
tmp[1] &= 0x00ffffffffffffff;
tmp[3] += tmp[2] >> 56;
tmp[2] &= 0x00ffffffffffffff;
/* Now 0 <= out < p */
out[0] = tmp[0];
out[1] = tmp[1];
out[2] = tmp[2];
out[3] = tmp[3];
}
/*
* Get negative value: out = -in
* Requires in[i] < 2^63,
* ensures out[0] < 2^56, out[1] < 2^56, out[2] < 2^56, out[3] <= 2^56 + 2^16
*/
static void felem_neg(felem out, const felem in)
{
widefelem tmp;
memset(tmp, 0, sizeof(tmp));
felem_diff_128_64(tmp, in);
felem_reduce(out, tmp);
}
/*
* Zero-check: returns 1 if input is 0, and 0 otherwise. We know that field
* elements are reduced to in < 2^225, so we only need to check three cases:
* 0, 2^224 - 2^96 + 1, and 2^225 - 2^97 + 2
*/
static limb felem_is_zero(const felem in)
{
limb zero, two224m96p1, two225m97p2;
zero = in[0] | in[1] | in[2] | in[3];
zero = (((int64_t) (zero) - 1) >> 63) & 1;
two224m96p1 = (in[0] ^ 1) | (in[1] ^ 0x00ffff0000000000)
| (in[2] ^ 0x00ffffffffffffff) | (in[3] ^ 0x00ffffffffffffff);
two224m96p1 = (((int64_t) (two224m96p1) - 1) >> 63) & 1;
two225m97p2 = (in[0] ^ 2) | (in[1] ^ 0x00fffe0000000000)
| (in[2] ^ 0x00ffffffffffffff) | (in[3] ^ 0x01ffffffffffffff);
two225m97p2 = (((int64_t) (two225m97p2) - 1) >> 63) & 1;
return (zero | two224m96p1 | two225m97p2);
}
static int felem_is_zero_int(const void *in)
{
return (int)(felem_is_zero(in) & ((limb) 1));
}
/* Invert a field element */
/* Computation chain copied from djb's code */
static void felem_inv(felem out, const felem in)
{
felem ftmp, ftmp2, ftmp3, ftmp4;
widefelem tmp;
unsigned i;
felem_square(tmp, in);
felem_reduce(ftmp, tmp); /* 2 */
felem_mul(tmp, in, ftmp);
felem_reduce(ftmp, tmp); /* 2^2 - 1 */
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp); /* 2^3 - 2 */
felem_mul(tmp, in, ftmp);
felem_reduce(ftmp, tmp); /* 2^3 - 1 */
felem_square(tmp, ftmp);
felem_reduce(ftmp2, tmp); /* 2^4 - 2 */
felem_square(tmp, ftmp2);
felem_reduce(ftmp2, tmp); /* 2^5 - 4 */
felem_square(tmp, ftmp2);
felem_reduce(ftmp2, tmp); /* 2^6 - 8 */
felem_mul(tmp, ftmp2, ftmp);
felem_reduce(ftmp, tmp); /* 2^6 - 1 */
felem_square(tmp, ftmp);
felem_reduce(ftmp2, tmp); /* 2^7 - 2 */
for (i = 0; i < 5; ++i) { /* 2^12 - 2^6 */
felem_square(tmp, ftmp2);
felem_reduce(ftmp2, tmp);
}
felem_mul(tmp, ftmp2, ftmp);
felem_reduce(ftmp2, tmp); /* 2^12 - 1 */
felem_square(tmp, ftmp2);
felem_reduce(ftmp3, tmp); /* 2^13 - 2 */
for (i = 0; i < 11; ++i) { /* 2^24 - 2^12 */
felem_square(tmp, ftmp3);
felem_reduce(ftmp3, tmp);
}
felem_mul(tmp, ftmp3, ftmp2);
felem_reduce(ftmp2, tmp); /* 2^24 - 1 */
felem_square(tmp, ftmp2);
felem_reduce(ftmp3, tmp); /* 2^25 - 2 */
for (i = 0; i < 23; ++i) { /* 2^48 - 2^24 */
felem_square(tmp, ftmp3);
felem_reduce(ftmp3, tmp);
}
felem_mul(tmp, ftmp3, ftmp2);
felem_reduce(ftmp3, tmp); /* 2^48 - 1 */
felem_square(tmp, ftmp3);
felem_reduce(ftmp4, tmp); /* 2^49 - 2 */
for (i = 0; i < 47; ++i) { /* 2^96 - 2^48 */
felem_square(tmp, ftmp4);
felem_reduce(ftmp4, tmp);
}
felem_mul(tmp, ftmp3, ftmp4);
felem_reduce(ftmp3, tmp); /* 2^96 - 1 */
felem_square(tmp, ftmp3);
felem_reduce(ftmp4, tmp); /* 2^97 - 2 */
for (i = 0; i < 23; ++i) { /* 2^120 - 2^24 */
felem_square(tmp, ftmp4);
felem_reduce(ftmp4, tmp);
}
felem_mul(tmp, ftmp2, ftmp4);
felem_reduce(ftmp2, tmp); /* 2^120 - 1 */
for (i = 0; i < 6; ++i) { /* 2^126 - 2^6 */
felem_square(tmp, ftmp2);
felem_reduce(ftmp2, tmp);
}
felem_mul(tmp, ftmp2, ftmp);
felem_reduce(ftmp, tmp); /* 2^126 - 1 */
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp); /* 2^127 - 2 */
felem_mul(tmp, ftmp, in);
felem_reduce(ftmp, tmp); /* 2^127 - 1 */
for (i = 0; i < 97; ++i) { /* 2^224 - 2^97 */
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp);
}
felem_mul(tmp, ftmp, ftmp3);
felem_reduce(out, tmp); /* 2^224 - 2^96 - 1 */
}
/*
* Copy in constant time: if icopy == 1, copy in to out, if icopy == 0, copy
* out to itself.
*/
static void copy_conditional(felem out, const felem in, limb icopy)
{
unsigned i;
/*
* icopy is a (64-bit) 0 or 1, so copy is either all-zero or all-one
*/
const limb copy = -icopy;
for (i = 0; i < 4; ++i) {
const limb tmp = copy & (in[i] ^ out[i]);
out[i] ^= tmp;
}
}
/******************************************************************************/
/*-
* ELLIPTIC CURVE POINT OPERATIONS
*
* Points are represented in Jacobian projective coordinates:
* (X, Y, Z) corresponds to the affine point (X/Z^2, Y/Z^3),
* or to the point at infinity if Z == 0.
*
*/
/*-
* Double an elliptic curve point:
* (X', Y', Z') = 2 * (X, Y, Z), where
* X' = (3 * (X - Z^2) * (X + Z^2))^2 - 8 * X * Y^2
* Y' = 3 * (X - Z^2) * (X + Z^2) * (4 * X * Y^2 - X') - 8 * Y^4
* Z' = (Y + Z)^2 - Y^2 - Z^2 = 2 * Y * Z
* Outputs can equal corresponding inputs, i.e., x_out == x_in is allowed,
* while x_out == y_in is not (maybe this works, but it's not tested).
*/
static void
point_double(felem x_out, felem y_out, felem z_out,
const felem x_in, const felem y_in, const felem z_in)
{
widefelem tmp, tmp2;
felem delta, gamma, beta, alpha, ftmp, ftmp2;
felem_assign(ftmp, x_in);
felem_assign(ftmp2, x_in);
/* delta = z^2 */
felem_square(tmp, z_in);
felem_reduce(delta, tmp);
/* gamma = y^2 */
felem_square(tmp, y_in);
felem_reduce(gamma, tmp);
/* beta = x*gamma */
felem_mul(tmp, x_in, gamma);
felem_reduce(beta, tmp);
/* alpha = 3*(x-delta)*(x+delta) */
felem_diff(ftmp, delta);
/* ftmp[i] < 2^57 + 2^58 + 2 < 2^59 */
felem_sum(ftmp2, delta);
/* ftmp2[i] < 2^57 + 2^57 = 2^58 */
felem_scalar(ftmp2, 3);
/* ftmp2[i] < 3 * 2^58 < 2^60 */
felem_mul(tmp, ftmp, ftmp2);
/* tmp[i] < 2^60 * 2^59 * 4 = 2^121 */
felem_reduce(alpha, tmp);
/* x' = alpha^2 - 8*beta */
felem_square(tmp, alpha);
/* tmp[i] < 4 * 2^57 * 2^57 = 2^116 */
felem_assign(ftmp, beta);
felem_scalar(ftmp, 8);
/* ftmp[i] < 8 * 2^57 = 2^60 */
felem_diff_128_64(tmp, ftmp);
/* tmp[i] < 2^116 + 2^64 + 8 < 2^117 */
felem_reduce(x_out, tmp);
/* z' = (y + z)^2 - gamma - delta */
felem_sum(delta, gamma);
/* delta[i] < 2^57 + 2^57 = 2^58 */
felem_assign(ftmp, y_in);
felem_sum(ftmp, z_in);
/* ftmp[i] < 2^57 + 2^57 = 2^58 */
felem_square(tmp, ftmp);
/* tmp[i] < 4 * 2^58 * 2^58 = 2^118 */
felem_diff_128_64(tmp, delta);
/* tmp[i] < 2^118 + 2^64 + 8 < 2^119 */
felem_reduce(z_out, tmp);
/* y' = alpha*(4*beta - x') - 8*gamma^2 */
felem_scalar(beta, 4);
/* beta[i] < 4 * 2^57 = 2^59 */
felem_diff(beta, x_out);
/* beta[i] < 2^59 + 2^58 + 2 < 2^60 */
felem_mul(tmp, alpha, beta);
/* tmp[i] < 4 * 2^57 * 2^60 = 2^119 */
felem_square(tmp2, gamma);
/* tmp2[i] < 4 * 2^57 * 2^57 = 2^116 */
widefelem_scalar(tmp2, 8);
/* tmp2[i] < 8 * 2^116 = 2^119 */
widefelem_diff(tmp, tmp2);
/* tmp[i] < 2^119 + 2^120 < 2^121 */
felem_reduce(y_out, tmp);
}
/*-
* Add two elliptic curve points:
* (X_1, Y_1, Z_1) + (X_2, Y_2, Z_2) = (X_3, Y_3, Z_3), where
* X_3 = (Z_1^3 * Y_2 - Z_2^3 * Y_1)^2 - (Z_1^2 * X_2 - Z_2^2 * X_1)^3 -
* 2 * Z_2^2 * X_1 * (Z_1^2 * X_2 - Z_2^2 * X_1)^2
* Y_3 = (Z_1^3 * Y_2 - Z_2^3 * Y_1) * (Z_2^2 * X_1 * (Z_1^2 * X_2 - Z_2^2 * X_1)^2 - X_3) -
* Z_2^3 * Y_1 * (Z_1^2 * X_2 - Z_2^2 * X_1)^3
* Z_3 = (Z_1^2 * X_2 - Z_2^2 * X_1) * (Z_1 * Z_2)
*
* This runs faster if 'mixed' is set, which requires Z_2 = 1 or Z_2 = 0.
*/
/*
* This function is not entirely constant-time: it includes a branch for
* checking whether the two input points are equal, (while not equal to the
* point at infinity). This case never happens during single point
* multiplication, so there is no timing leak for ECDH or ECDSA signing.
*/
static void point_add(felem x3, felem y3, felem z3,
const felem x1, const felem y1, const felem z1,
const int mixed, const felem x2, const felem y2,
const felem z2)
{
felem ftmp, ftmp2, ftmp3, ftmp4, ftmp5, x_out, y_out, z_out;
widefelem tmp, tmp2;
limb z1_is_zero, z2_is_zero, x_equal, y_equal;
limb points_equal;
if (!mixed) {
/* ftmp2 = z2^2 */
felem_square(tmp, z2);
felem_reduce(ftmp2, tmp);
/* ftmp4 = z2^3 */
felem_mul(tmp, ftmp2, z2);
felem_reduce(ftmp4, tmp);
/* ftmp4 = z2^3*y1 */
felem_mul(tmp2, ftmp4, y1);
felem_reduce(ftmp4, tmp2);
/* ftmp2 = z2^2*x1 */
felem_mul(tmp2, ftmp2, x1);
felem_reduce(ftmp2, tmp2);
} else {
/*
* We'll assume z2 = 1 (special case z2 = 0 is handled later)
*/
/* ftmp4 = z2^3*y1 */
felem_assign(ftmp4, y1);
/* ftmp2 = z2^2*x1 */
felem_assign(ftmp2, x1);
}
/* ftmp = z1^2 */
felem_square(tmp, z1);
felem_reduce(ftmp, tmp);
/* ftmp3 = z1^3 */
felem_mul(tmp, ftmp, z1);
felem_reduce(ftmp3, tmp);
/* tmp = z1^3*y2 */
felem_mul(tmp, ftmp3, y2);
/* tmp[i] < 4 * 2^57 * 2^57 = 2^116 */
/* ftmp3 = z1^3*y2 - z2^3*y1 */
felem_diff_128_64(tmp, ftmp4);
/* tmp[i] < 2^116 + 2^64 + 8 < 2^117 */
felem_reduce(ftmp3, tmp);
/* tmp = z1^2*x2 */
felem_mul(tmp, ftmp, x2);
/* tmp[i] < 4 * 2^57 * 2^57 = 2^116 */
/* ftmp = z1^2*x2 - z2^2*x1 */
felem_diff_128_64(tmp, ftmp2);
/* tmp[i] < 2^116 + 2^64 + 8 < 2^117 */
felem_reduce(ftmp, tmp);
/*
* The formulae are incorrect if the points are equal, in affine coordinates
* (X_1, Y_1) == (X_2, Y_2), so we check for this and do doubling if this
* happens.
*
* We use bitwise operations to avoid potential side-channels introduced by
* the short-circuiting behaviour of boolean operators.
*/
x_equal = felem_is_zero(ftmp);
y_equal = felem_is_zero(ftmp3);
/*
* The special case of either point being the point at infinity (z1 and/or
* z2 are zero), is handled separately later on in this function, so we
* avoid jumping to point_double here in those special cases.
*/
z1_is_zero = felem_is_zero(z1);
z2_is_zero = felem_is_zero(z2);
/*
* Compared to `ecp_nistp256.c` and `ecp_nistp521.c`, in this
* specific implementation `felem_is_zero()` returns truth as `0x1`
* (rather than `0xff..ff`).
*
* This implies that `~true` in this implementation becomes
* `0xff..fe` (rather than `0x0`): for this reason, to be used in
* the if expression, we mask out only the last bit in the next
* line.
*/
points_equal = (x_equal & y_equal & (~z1_is_zero) & (~z2_is_zero)) & 1;
if (points_equal) {
/*
* This is obviously not constant-time but, as mentioned before, this
* case never happens during single point multiplication, so there is no
* timing leak for ECDH or ECDSA signing.
*/
point_double(x3, y3, z3, x1, y1, z1);
return;
}
/* ftmp5 = z1*z2 */
if (!mixed) {
felem_mul(tmp, z1, z2);
felem_reduce(ftmp5, tmp);
} else {
/* special case z2 = 0 is handled later */
felem_assign(ftmp5, z1);
}
/* z_out = (z1^2*x2 - z2^2*x1)*(z1*z2) */
felem_mul(tmp, ftmp, ftmp5);
felem_reduce(z_out, tmp);
/* ftmp = (z1^2*x2 - z2^2*x1)^2 */
felem_assign(ftmp5, ftmp);
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp);
/* ftmp5 = (z1^2*x2 - z2^2*x1)^3 */
felem_mul(tmp, ftmp, ftmp5);
felem_reduce(ftmp5, tmp);
/* ftmp2 = z2^2*x1*(z1^2*x2 - z2^2*x1)^2 */
felem_mul(tmp, ftmp2, ftmp);
felem_reduce(ftmp2, tmp);
/* tmp = z2^3*y1*(z1^2*x2 - z2^2*x1)^3 */
felem_mul(tmp, ftmp4, ftmp5);
/* tmp[i] < 4 * 2^57 * 2^57 = 2^116 */
/* tmp2 = (z1^3*y2 - z2^3*y1)^2 */
felem_square(tmp2, ftmp3);
/* tmp2[i] < 4 * 2^57 * 2^57 < 2^116 */
/* tmp2 = (z1^3*y2 - z2^3*y1)^2 - (z1^2*x2 - z2^2*x1)^3 */
felem_diff_128_64(tmp2, ftmp5);
/* tmp2[i] < 2^116 + 2^64 + 8 < 2^117 */
/* ftmp5 = 2*z2^2*x1*(z1^2*x2 - z2^2*x1)^2 */
felem_assign(ftmp5, ftmp2);
felem_scalar(ftmp5, 2);
/* ftmp5[i] < 2 * 2^57 = 2^58 */
/*-
* x_out = (z1^3*y2 - z2^3*y1)^2 - (z1^2*x2 - z2^2*x1)^3 -
* 2*z2^2*x1*(z1^2*x2 - z2^2*x1)^2
*/
felem_diff_128_64(tmp2, ftmp5);
/* tmp2[i] < 2^117 + 2^64 + 8 < 2^118 */
felem_reduce(x_out, tmp2);
/* ftmp2 = z2^2*x1*(z1^2*x2 - z2^2*x1)^2 - x_out */
felem_diff(ftmp2, x_out);
/* ftmp2[i] < 2^57 + 2^58 + 2 < 2^59 */
/*
* tmp2 = (z1^3*y2 - z2^3*y1)*(z2^2*x1*(z1^2*x2 - z2^2*x1)^2 - x_out)
*/
felem_mul(tmp2, ftmp3, ftmp2);
/* tmp2[i] < 4 * 2^57 * 2^59 = 2^118 */
/*-
* y_out = (z1^3*y2 - z2^3*y1)*(z2^2*x1*(z1^2*x2 - z2^2*x1)^2 - x_out) -
* z2^3*y1*(z1^2*x2 - z2^2*x1)^3
*/
widefelem_diff(tmp2, tmp);
/* tmp2[i] < 2^118 + 2^120 < 2^121 */
felem_reduce(y_out, tmp2);
/*
* the result (x_out, y_out, z_out) is incorrect if one of the inputs is
* the point at infinity, so we need to check for this separately
*/
/*
* if point 1 is at infinity, copy point 2 to output, and vice versa
*/
copy_conditional(x_out, x2, z1_is_zero);
copy_conditional(x_out, x1, z2_is_zero);
copy_conditional(y_out, y2, z1_is_zero);
copy_conditional(y_out, y1, z2_is_zero);
copy_conditional(z_out, z2, z1_is_zero);
copy_conditional(z_out, z1, z2_is_zero);
felem_assign(x3, x_out);
felem_assign(y3, y_out);
felem_assign(z3, z_out);
}
/*
* select_point selects the |idx|th point from a precomputation table and
* copies it to out.
* The pre_comp array argument should be size of |size| argument
*/
static void select_point(const u64 idx, unsigned int size,
const felem pre_comp[][3], felem out[3])
{
unsigned i, j;
limb *outlimbs = &out[0][0];
memset(out, 0, sizeof(*out) * 3);
for (i = 0; i < size; i++) {
const limb *inlimbs = &pre_comp[i][0][0];
u64 mask = i ^ idx;
mask |= mask >> 4;
mask |= mask >> 2;
mask |= mask >> 1;
mask &= 1;
mask--;
for (j = 0; j < 4 * 3; j++)
outlimbs[j] |= inlimbs[j] & mask;
}
}
/* get_bit returns the |i|th bit in |in| */
static char get_bit(const felem_bytearray in, unsigned i)
{
if (i >= 224)
return 0;
return (in[i >> 3] >> (i & 7)) & 1;
}
/*
* Interleaved point multiplication using precomputed point multiples: The
* small point multiples 0*P, 1*P, ..., 16*P are in pre_comp[], the scalars
* in scalars[]. If g_scalar is non-NULL, we also add this multiple of the
* generator, using certain (large) precomputed multiples in g_pre_comp.
* Output point (X, Y, Z) is stored in x_out, y_out, z_out
*/
static void batch_mul(felem x_out, felem y_out, felem z_out,
const felem_bytearray scalars[],
const unsigned num_points, const u8 *g_scalar,
const int mixed, const felem pre_comp[][17][3],
const felem g_pre_comp[2][16][3])
{
int i, skip;
unsigned num;
unsigned gen_mul = (g_scalar != NULL);
felem nq[3], tmp[4];
u64 bits;
u8 sign, digit;
/* set nq to the point at infinity */
memset(nq, 0, sizeof(nq));
/*
* Loop over all scalars msb-to-lsb, interleaving additions of multiples
* of the generator (two in each of the last 28 rounds) and additions of
* other points multiples (every 5th round).
*/
skip = 1; /* save two point operations in the first
* round */
for (i = (num_points ? 220 : 27); i >= 0; --i) {
/* double */
if (!skip)
point_double(nq[0], nq[1], nq[2], nq[0], nq[1], nq[2]);
/* add multiples of the generator */
if (gen_mul && (i <= 27)) {
/* first, look 28 bits upwards */
bits = get_bit(g_scalar, i + 196) << 3;
bits |= get_bit(g_scalar, i + 140) << 2;
bits |= get_bit(g_scalar, i + 84) << 1;
bits |= get_bit(g_scalar, i + 28);
/* select the point to add, in constant time */
select_point(bits, 16, g_pre_comp[1], tmp);
if (!skip) {
/* value 1 below is argument for "mixed" */
point_add(nq[0], nq[1], nq[2],
nq[0], nq[1], nq[2], 1, tmp[0], tmp[1], tmp[2]);
} else {
memcpy(nq, tmp, 3 * sizeof(felem));
skip = 0;
}
/* second, look at the current position */
bits = get_bit(g_scalar, i + 168) << 3;
bits |= get_bit(g_scalar, i + 112) << 2;
bits |= get_bit(g_scalar, i + 56) << 1;
bits |= get_bit(g_scalar, i);
/* select the point to add, in constant time */
select_point(bits, 16, g_pre_comp[0], tmp);
point_add(nq[0], nq[1], nq[2],
nq[0], nq[1], nq[2],
1 /* mixed */ , tmp[0], tmp[1], tmp[2]);
}
/* do other additions every 5 doublings */
if (num_points && (i % 5 == 0)) {
/* loop over all scalars */
for (num = 0; num < num_points; ++num) {
bits = get_bit(scalars[num], i + 4) << 5;
bits |= get_bit(scalars[num], i + 3) << 4;
bits |= get_bit(scalars[num], i + 2) << 3;
bits |= get_bit(scalars[num], i + 1) << 2;
bits |= get_bit(scalars[num], i) << 1;
bits |= get_bit(scalars[num], i - 1);
ossl_ec_GFp_nistp_recode_scalar_bits(&sign, &digit, bits);
/* select the point to add or subtract */
select_point(digit, 17, pre_comp[num], tmp);
felem_neg(tmp[3], tmp[1]); /* (X, -Y, Z) is the negative
* point */
copy_conditional(tmp[1], tmp[3], sign);
if (!skip) {
point_add(nq[0], nq[1], nq[2],
nq[0], nq[1], nq[2],
mixed, tmp[0], tmp[1], tmp[2]);
} else {
memcpy(nq, tmp, 3 * sizeof(felem));
skip = 0;
}
}
}
}
felem_assign(x_out, nq[0]);
felem_assign(y_out, nq[1]);
felem_assign(z_out, nq[2]);
}
/******************************************************************************/
/*
* FUNCTIONS TO MANAGE PRECOMPUTATION
*/
static NISTP224_PRE_COMP *nistp224_pre_comp_new(void)
{
NISTP224_PRE_COMP *ret = OPENSSL_zalloc(sizeof(*ret));
if (ret == NULL)
return ret;
if (!CRYPTO_NEW_REF(&ret->references, 1)) {
OPENSSL_free(ret);
return NULL;
}
return ret;
}
NISTP224_PRE_COMP *EC_nistp224_pre_comp_dup(NISTP224_PRE_COMP *p)
{
int i;
if (p != NULL)
CRYPTO_UP_REF(&p->references, &i);
return p;
}
void EC_nistp224_pre_comp_free(NISTP224_PRE_COMP *p)
{
int i;
if (p == NULL)
return;
CRYPTO_DOWN_REF(&p->references, &i);
REF_PRINT_COUNT("EC_nistp224", p);
if (i > 0)
return;
REF_ASSERT_ISNT(i < 0);
CRYPTO_FREE_REF(&p->references);
OPENSSL_free(p);
}
/******************************************************************************/
/*
* OPENSSL EC_METHOD FUNCTIONS
*/
int ossl_ec_GFp_nistp224_group_init(EC_GROUP *group)
{
int ret;
ret = ossl_ec_GFp_simple_group_init(group);
group->a_is_minus3 = 1;
return ret;
}
int ossl_ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p,
const BIGNUM *a, const BIGNUM *b,
BN_CTX *ctx)
{
int ret = 0;
BIGNUM *curve_p, *curve_a, *curve_b;
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
if (ctx == NULL)
ctx = new_ctx = BN_CTX_new();
#endif
if (ctx == NULL)
return 0;
BN_CTX_start(ctx);
curve_p = BN_CTX_get(ctx);
curve_a = BN_CTX_get(ctx);
curve_b = BN_CTX_get(ctx);
if (curve_b == NULL)
goto err;
BN_bin2bn(nistp224_curve_params[0], sizeof(felem_bytearray), curve_p);
BN_bin2bn(nistp224_curve_params[1], sizeof(felem_bytearray), curve_a);
BN_bin2bn(nistp224_curve_params[2], sizeof(felem_bytearray), curve_b);
if ((BN_cmp(curve_p, p)) || (BN_cmp(curve_a, a)) || (BN_cmp(curve_b, b))) {
ERR_raise(ERR_LIB_EC, EC_R_WRONG_CURVE_PARAMETERS);
goto err;
}
group->field_mod_func = BN_nist_mod_224;
ret = ossl_ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
err:
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
return ret;
}
/*
* Takes the Jacobian coordinates (X, Y, Z) of a point and returns (X', Y') =
* (X/Z^2, Y/Z^3)
*/
int ossl_ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group,
const EC_POINT *point,
BIGNUM *x, BIGNUM *y,
BN_CTX *ctx)
{
felem z1, z2, x_in, y_in, x_out, y_out;
widefelem tmp;
if (EC_POINT_is_at_infinity(group, point)) {
ERR_raise(ERR_LIB_EC, EC_R_POINT_AT_INFINITY);
return 0;
}
if ((!BN_to_felem(x_in, point->X)) || (!BN_to_felem(y_in, point->Y)) ||
(!BN_to_felem(z1, point->Z)))
return 0;
felem_inv(z2, z1);
felem_square(tmp, z2);
felem_reduce(z1, tmp);
felem_mul(tmp, x_in, z1);
felem_reduce(x_in, tmp);
felem_contract(x_out, x_in);
if (x != NULL) {
if (!felem_to_BN(x, x_out)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return 0;
}
}
felem_mul(tmp, z1, z2);
felem_reduce(z1, tmp);
felem_mul(tmp, y_in, z1);
felem_reduce(y_in, tmp);
felem_contract(y_out, y_in);
if (y != NULL) {
if (!felem_to_BN(y, y_out)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return 0;
}
}
return 1;
}
static void make_points_affine(size_t num, felem points[ /* num */ ][3],
felem tmp_felems[ /* num+1 */ ])
{
/*
* Runs in constant time, unless an input is the point at infinity (which
* normally shouldn't happen).
*/
ossl_ec_GFp_nistp_points_make_affine_internal(num,
points,
sizeof(felem),
tmp_felems,
(void (*)(void *))felem_one,
felem_is_zero_int,
(void (*)(void *, const void *))
felem_assign,
(void (*)(void *, const void *))
felem_square_reduce, (void (*)
(void *,
const void
*,
const void
*))
felem_mul_reduce,
(void (*)(void *, const void *))
felem_inv,
(void (*)(void *, const void *))
felem_contract);
}
/*
* Computes scalar*generator + \sum scalars[i]*points[i], ignoring NULL
* values Result is stored in r (r can equal one of the inputs).
*/
int ossl_ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar, size_t num,
const EC_POINT *points[],
const BIGNUM *scalars[], BN_CTX *ctx)
{
int ret = 0;
int j;
unsigned i;
int mixed = 0;
BIGNUM *x, *y, *z, *tmp_scalar;
felem_bytearray g_secret;
felem_bytearray *secrets = NULL;
felem (*pre_comp)[17][3] = NULL;
felem *tmp_felems = NULL;
int num_bytes;
int have_pre_comp = 0;
size_t num_points = num;
felem x_in, y_in, z_in, x_out, y_out, z_out;
NISTP224_PRE_COMP *pre = NULL;
const felem(*g_pre_comp)[16][3] = NULL;
EC_POINT *generator = NULL;
const EC_POINT *p = NULL;
const BIGNUM *p_scalar = NULL;
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
z = BN_CTX_get(ctx);
tmp_scalar = BN_CTX_get(ctx);
if (tmp_scalar == NULL)
goto err;
if (scalar != NULL) {
pre = group->pre_comp.nistp224;
if (pre)
/* we have precomputation, try to use it */
g_pre_comp = (const felem(*)[16][3])pre->g_pre_comp;
else
/* try to use the standard precomputation */
g_pre_comp = &gmul[0];
generator = EC_POINT_new(group);
if (generator == NULL)
goto err;
/* get the generator from precomputation */
if (!felem_to_BN(x, g_pre_comp[0][1][0]) ||
!felem_to_BN(y, g_pre_comp[0][1][1]) ||
!felem_to_BN(z, g_pre_comp[0][1][2])) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if (!ossl_ec_GFp_simple_set_Jprojective_coordinates_GFp(group,
generator,
x, y, z, ctx))
goto err;
if (0 == EC_POINT_cmp(group, generator, group->generator, ctx))
/* precomputation matches generator */
have_pre_comp = 1;
else
/*
* we don't have valid precomputation: treat the generator as a
* random point
*/
num_points = num_points + 1;
}
if (num_points > 0) {
if (num_points >= 3) {
/*
* unless we precompute multiples for just one or two points,
* converting those into affine form is time well spent
*/
mixed = 1;
}
secrets = OPENSSL_zalloc(sizeof(*secrets) * num_points);
pre_comp = OPENSSL_zalloc(sizeof(*pre_comp) * num_points);
if (mixed)
tmp_felems =
OPENSSL_malloc(sizeof(felem) * (num_points * 17 + 1));
if ((secrets == NULL) || (pre_comp == NULL)
|| (mixed && (tmp_felems == NULL)))
goto err;
/*
* we treat NULL scalars as 0, and NULL points as points at infinity,
* i.e., they contribute nothing to the linear combination
*/
for (i = 0; i < num_points; ++i) {
if (i == num) {
/* the generator */
p = EC_GROUP_get0_generator(group);
p_scalar = scalar;
} else {
/* the i^th point */
p = points[i];
p_scalar = scalars[i];
}
if ((p_scalar != NULL) && (p != NULL)) {
/* reduce scalar to 0 <= scalar < 2^224 */
if ((BN_num_bits(p_scalar) > 224)
|| (BN_is_negative(p_scalar))) {
/*
* this is an unusual input, and we don't guarantee
* constant-timeness
*/
if (!BN_nnmod(tmp_scalar, p_scalar, group->order, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
num_bytes = BN_bn2lebinpad(tmp_scalar,
secrets[i], sizeof(secrets[i]));
} else {
num_bytes = BN_bn2lebinpad(p_scalar,
secrets[i], sizeof(secrets[i]));
}
if (num_bytes < 0) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* precompute multiples */
if ((!BN_to_felem(x_out, p->X)) ||
(!BN_to_felem(y_out, p->Y)) ||
(!BN_to_felem(z_out, p->Z)))
goto err;
felem_assign(pre_comp[i][1][0], x_out);
felem_assign(pre_comp[i][1][1], y_out);
felem_assign(pre_comp[i][1][2], z_out);
for (j = 2; j <= 16; ++j) {
if (j & 1) {
point_add(pre_comp[i][j][0], pre_comp[i][j][1],
pre_comp[i][j][2], pre_comp[i][1][0],
pre_comp[i][1][1], pre_comp[i][1][2], 0,
pre_comp[i][j - 1][0],
pre_comp[i][j - 1][1],
pre_comp[i][j - 1][2]);
} else {
point_double(pre_comp[i][j][0], pre_comp[i][j][1],
pre_comp[i][j][2], pre_comp[i][j / 2][0],
pre_comp[i][j / 2][1],
pre_comp[i][j / 2][2]);
}
}
}
}
if (mixed)
make_points_affine(num_points * 17, pre_comp[0], tmp_felems);
}
/* the scalar for the generator */
if ((scalar != NULL) && (have_pre_comp)) {
memset(g_secret, 0, sizeof(g_secret));
/* reduce scalar to 0 <= scalar < 2^224 */
if ((BN_num_bits(scalar) > 224) || (BN_is_negative(scalar))) {
/*
* this is an unusual input, and we don't guarantee
* constant-timeness
*/
if (!BN_nnmod(tmp_scalar, scalar, group->order, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
num_bytes = BN_bn2lebinpad(tmp_scalar, g_secret, sizeof(g_secret));
} else {
num_bytes = BN_bn2lebinpad(scalar, g_secret, sizeof(g_secret));
}
/* do the multiplication with generator precomputation */
batch_mul(x_out, y_out, z_out,
(const felem_bytearray(*))secrets, num_points,
g_secret,
mixed, (const felem(*)[17][3])pre_comp, g_pre_comp);
} else {
/* do the multiplication without generator precomputation */
batch_mul(x_out, y_out, z_out,
(const felem_bytearray(*))secrets, num_points,
NULL, mixed, (const felem(*)[17][3])pre_comp, NULL);
}
/* reduce the output to its unique minimal representation */
felem_contract(x_in, x_out);
felem_contract(y_in, y_out);
felem_contract(z_in, z_out);
if ((!felem_to_BN(x, x_in)) || (!felem_to_BN(y, y_in)) ||
(!felem_to_BN(z, z_in))) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
ret = ossl_ec_GFp_simple_set_Jprojective_coordinates_GFp(group, r, x, y, z,
ctx);
err:
BN_CTX_end(ctx);
EC_POINT_free(generator);
OPENSSL_free(secrets);
OPENSSL_free(pre_comp);
OPENSSL_free(tmp_felems);
return ret;
}
int ossl_ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
{
int ret = 0;
NISTP224_PRE_COMP *pre = NULL;
int i, j;
BIGNUM *x, *y;
EC_POINT *generator = NULL;
felem tmp_felems[32];
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
#endif
/* throw away old precomputation */
EC_pre_comp_free(group);
#ifndef FIPS_MODULE
if (ctx == NULL)
ctx = new_ctx = BN_CTX_new();
#endif
if (ctx == NULL)
return 0;
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
if (y == NULL)
goto err;
/* get the generator */
if (group->generator == NULL)
goto err;
generator = EC_POINT_new(group);
if (generator == NULL)
goto err;
BN_bin2bn(nistp224_curve_params[3], sizeof(felem_bytearray), x);
BN_bin2bn(nistp224_curve_params[4], sizeof(felem_bytearray), y);
if (!EC_POINT_set_affine_coordinates(group, generator, x, y, ctx))
goto err;
if ((pre = nistp224_pre_comp_new()) == NULL)
goto err;
/*
* if the generator is the standard one, use built-in precomputation
*/
if (0 == EC_POINT_cmp(group, generator, group->generator, ctx)) {
memcpy(pre->g_pre_comp, gmul, sizeof(pre->g_pre_comp));
goto done;
}
if ((!BN_to_felem(pre->g_pre_comp[0][1][0], group->generator->X)) ||
(!BN_to_felem(pre->g_pre_comp[0][1][1], group->generator->Y)) ||
(!BN_to_felem(pre->g_pre_comp[0][1][2], group->generator->Z)))
goto err;
/*
* compute 2^56*G, 2^112*G, 2^168*G for the first table, 2^28*G, 2^84*G,
* 2^140*G, 2^196*G for the second one
*/
for (i = 1; i <= 8; i <<= 1) {
point_double(pre->g_pre_comp[1][i][0], pre->g_pre_comp[1][i][1],
pre->g_pre_comp[1][i][2], pre->g_pre_comp[0][i][0],
pre->g_pre_comp[0][i][1], pre->g_pre_comp[0][i][2]);
for (j = 0; j < 27; ++j) {
point_double(pre->g_pre_comp[1][i][0], pre->g_pre_comp[1][i][1],
pre->g_pre_comp[1][i][2], pre->g_pre_comp[1][i][0],
pre->g_pre_comp[1][i][1], pre->g_pre_comp[1][i][2]);
}
if (i == 8)
break;
point_double(pre->g_pre_comp[0][2 * i][0],
pre->g_pre_comp[0][2 * i][1],
pre->g_pre_comp[0][2 * i][2], pre->g_pre_comp[1][i][0],
pre->g_pre_comp[1][i][1], pre->g_pre_comp[1][i][2]);
for (j = 0; j < 27; ++j) {
point_double(pre->g_pre_comp[0][2 * i][0],
pre->g_pre_comp[0][2 * i][1],
pre->g_pre_comp[0][2 * i][2],
pre->g_pre_comp[0][2 * i][0],
pre->g_pre_comp[0][2 * i][1],
pre->g_pre_comp[0][2 * i][2]);
}
}
for (i = 0; i < 2; i++) {
/* g_pre_comp[i][0] is the point at infinity */
memset(pre->g_pre_comp[i][0], 0, sizeof(pre->g_pre_comp[i][0]));
/* the remaining multiples */
/* 2^56*G + 2^112*G resp. 2^84*G + 2^140*G */
point_add(pre->g_pre_comp[i][6][0], pre->g_pre_comp[i][6][1],
pre->g_pre_comp[i][6][2], pre->g_pre_comp[i][4][0],
pre->g_pre_comp[i][4][1], pre->g_pre_comp[i][4][2],
0, pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1],
pre->g_pre_comp[i][2][2]);
/* 2^56*G + 2^168*G resp. 2^84*G + 2^196*G */
point_add(pre->g_pre_comp[i][10][0], pre->g_pre_comp[i][10][1],
pre->g_pre_comp[i][10][2], pre->g_pre_comp[i][8][0],
pre->g_pre_comp[i][8][1], pre->g_pre_comp[i][8][2],
0, pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1],
pre->g_pre_comp[i][2][2]);
/* 2^112*G + 2^168*G resp. 2^140*G + 2^196*G */
point_add(pre->g_pre_comp[i][12][0], pre->g_pre_comp[i][12][1],
pre->g_pre_comp[i][12][2], pre->g_pre_comp[i][8][0],
pre->g_pre_comp[i][8][1], pre->g_pre_comp[i][8][2],
0, pre->g_pre_comp[i][4][0], pre->g_pre_comp[i][4][1],
pre->g_pre_comp[i][4][2]);
/*
* 2^56*G + 2^112*G + 2^168*G resp. 2^84*G + 2^140*G + 2^196*G
*/
point_add(pre->g_pre_comp[i][14][0], pre->g_pre_comp[i][14][1],
pre->g_pre_comp[i][14][2], pre->g_pre_comp[i][12][0],
pre->g_pre_comp[i][12][1], pre->g_pre_comp[i][12][2],
0, pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1],
pre->g_pre_comp[i][2][2]);
for (j = 1; j < 8; ++j) {
/* odd multiples: add G resp. 2^28*G */
point_add(pre->g_pre_comp[i][2 * j + 1][0],
pre->g_pre_comp[i][2 * j + 1][1],
pre->g_pre_comp[i][2 * j + 1][2],
pre->g_pre_comp[i][2 * j][0],
pre->g_pre_comp[i][2 * j][1],
pre->g_pre_comp[i][2 * j][2], 0,
pre->g_pre_comp[i][1][0], pre->g_pre_comp[i][1][1],
pre->g_pre_comp[i][1][2]);
}
}
make_points_affine(31, &(pre->g_pre_comp[0][1]), tmp_felems);
done:
SETPRECOMP(group, nistp224, pre);
pre = NULL;
ret = 1;
err:
BN_CTX_end(ctx);
EC_POINT_free(generator);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
EC_nistp224_pre_comp_free(pre);
return ret;
}
int ossl_ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group)
{
return HAVEPRECOMP(group, nistp224);
}
|
./openssl/crypto/ec/ecx_backend.h | /*
* Copyright 2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#define ISX448(id) ((id) == EVP_PKEY_X448)
#define IS25519(id) ((id) == EVP_PKEY_X25519 || (id) == EVP_PKEY_ED25519)
#define KEYLENID(id) (IS25519(id) ? X25519_KEYLEN \
: ((id) == EVP_PKEY_X448 ? X448_KEYLEN \
: ED448_KEYLEN))
#define KEYNID2TYPE(id) \
(IS25519(id) ? ((id) == EVP_PKEY_X25519 ? ECX_KEY_TYPE_X25519 \
: ECX_KEY_TYPE_ED25519) \
: ((id) == EVP_PKEY_X448 ? ECX_KEY_TYPE_X448 \
: ECX_KEY_TYPE_ED448))
#define KEYLEN(p) KEYLENID((p)->ameth->pkey_id)
|
./openssl/crypto/ec/ecx_backend.c | /*
* Copyright 2020-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <string.h>
#include <openssl/core_names.h>
#include <openssl/params.h>
#include <openssl/ec.h>
#include <openssl/rand.h>
#include <openssl/err.h>
#ifndef FIPS_MODULE
# include <openssl/x509.h>
#endif
#include "crypto/ecx.h"
#include "ecx_backend.h"
/*
* The intention with the "backend" source file is to offer backend support
* for legacy backends (EVP_PKEY_ASN1_METHOD and EVP_PKEY_METHOD) and provider
* implementations alike.
*/
int ossl_ecx_public_from_private(ECX_KEY *key)
{
switch (key->type) {
case ECX_KEY_TYPE_X25519:
ossl_x25519_public_from_private(key->pubkey, key->privkey);
break;
case ECX_KEY_TYPE_ED25519:
if (!ossl_ed25519_public_from_private(key->libctx, key->pubkey,
key->privkey, key->propq)) {
ERR_raise(ERR_LIB_EC, EC_R_FAILED_MAKING_PUBLIC_KEY);
return 0;
}
break;
case ECX_KEY_TYPE_X448:
ossl_x448_public_from_private(key->pubkey, key->privkey);
break;
case ECX_KEY_TYPE_ED448:
if (!ossl_ed448_public_from_private(key->libctx, key->pubkey,
key->privkey, key->propq)) {
ERR_raise(ERR_LIB_EC, EC_R_FAILED_MAKING_PUBLIC_KEY);
return 0;
}
break;
}
return 1;
}
int ossl_ecx_key_fromdata(ECX_KEY *ecx, const OSSL_PARAM params[],
int include_private)
{
size_t privkeylen = 0, pubkeylen = 0;
const OSSL_PARAM *param_priv_key = NULL, *param_pub_key;
unsigned char *pubkey;
if (ecx == NULL)
return 0;
param_pub_key = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_PUB_KEY);
if (include_private)
param_priv_key =
OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_PRIV_KEY);
if (param_pub_key == NULL && param_priv_key == NULL)
return 0;
if (param_priv_key != NULL) {
if (!OSSL_PARAM_get_octet_string(param_priv_key,
(void **)&ecx->privkey, ecx->keylen,
&privkeylen))
return 0;
if (privkeylen != ecx->keylen) {
/*
* Invalid key length. We will clear what we've received now. We
* can't leave it to ossl_ecx_key_free() because that will call
* OPENSSL_secure_clear_free() and assume the correct key length
*/
OPENSSL_secure_clear_free(ecx->privkey, privkeylen);
ecx->privkey = NULL;
return 0;
}
}
pubkey = ecx->pubkey;
if (param_pub_key != NULL
&& !OSSL_PARAM_get_octet_string(param_pub_key,
(void **)&pubkey,
sizeof(ecx->pubkey), &pubkeylen))
return 0;
if ((param_pub_key != NULL && pubkeylen != ecx->keylen))
return 0;
if (param_pub_key == NULL && !ossl_ecx_public_from_private(ecx))
return 0;
ecx->haspubkey = 1;
return 1;
}
ECX_KEY *ossl_ecx_key_dup(const ECX_KEY *key, int selection)
{
ECX_KEY *ret = OPENSSL_zalloc(sizeof(*ret));
if (ret == NULL)
return NULL;
ret->libctx = key->libctx;
ret->haspubkey = 0;
ret->keylen = key->keylen;
ret->type = key->type;
if (!CRYPTO_NEW_REF(&ret->references, 1))
goto err;
if (key->propq != NULL) {
ret->propq = OPENSSL_strdup(key->propq);
if (ret->propq == NULL)
goto err;
}
if ((selection & OSSL_KEYMGMT_SELECT_PUBLIC_KEY) != 0
&& key->haspubkey == 1) {
memcpy(ret->pubkey, key->pubkey, sizeof(ret->pubkey));
ret->haspubkey = 1;
}
if ((selection & OSSL_KEYMGMT_SELECT_PRIVATE_KEY) != 0
&& key->privkey != NULL) {
if (ossl_ecx_key_allocate_privkey(ret) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
memcpy(ret->privkey, key->privkey, ret->keylen);
}
return ret;
err:
CRYPTO_FREE_REF(&ret->references);
ossl_ecx_key_free(ret);
return NULL;
}
#ifndef FIPS_MODULE
ECX_KEY *ossl_ecx_key_op(const X509_ALGOR *palg,
const unsigned char *p, int plen,
int id, ecx_key_op_t op,
OSSL_LIB_CTX *libctx, const char *propq)
{
ECX_KEY *key = NULL;
unsigned char *privkey, *pubkey;
if (op != KEY_OP_KEYGEN) {
if (palg != NULL) {
int ptype;
/* Algorithm parameters must be absent */
X509_ALGOR_get0(NULL, &ptype, NULL, palg);
if (ptype != V_ASN1_UNDEF) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
return 0;
}
if (id == EVP_PKEY_NONE)
id = OBJ_obj2nid(palg->algorithm);
else if (id != OBJ_obj2nid(palg->algorithm)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
return 0;
}
}
if (p == NULL || id == EVP_PKEY_NONE || plen != KEYLENID(id)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
return 0;
}
}
key = ossl_ecx_key_new(libctx, KEYNID2TYPE(id), 1, propq);
if (key == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
return 0;
}
pubkey = key->pubkey;
if (op == KEY_OP_PUBLIC) {
memcpy(pubkey, p, plen);
} else {
privkey = ossl_ecx_key_allocate_privkey(key);
if (privkey == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (op == KEY_OP_KEYGEN) {
if (id != EVP_PKEY_NONE) {
if (RAND_priv_bytes_ex(libctx, privkey, KEYLENID(id), 0) <= 0)
goto err;
if (id == EVP_PKEY_X25519) {
privkey[0] &= 248;
privkey[X25519_KEYLEN - 1] &= 127;
privkey[X25519_KEYLEN - 1] |= 64;
} else if (id == EVP_PKEY_X448) {
privkey[0] &= 252;
privkey[X448_KEYLEN - 1] |= 128;
}
}
} else {
memcpy(privkey, p, KEYLENID(id));
}
if (!ossl_ecx_public_from_private(key)) {
ERR_raise(ERR_LIB_EC, EC_R_FAILED_MAKING_PUBLIC_KEY);
goto err;
}
}
return key;
err:
ossl_ecx_key_free(key);
return NULL;
}
ECX_KEY *ossl_ecx_key_from_pkcs8(const PKCS8_PRIV_KEY_INFO *p8inf,
OSSL_LIB_CTX *libctx, const char *propq)
{
ECX_KEY *ecx = NULL;
const unsigned char *p;
int plen;
ASN1_OCTET_STRING *oct = NULL;
const X509_ALGOR *palg;
if (!PKCS8_pkey_get0(NULL, &p, &plen, &palg, p8inf))
return 0;
oct = d2i_ASN1_OCTET_STRING(NULL, &p, plen);
if (oct == NULL) {
p = NULL;
plen = 0;
} else {
p = ASN1_STRING_get0_data(oct);
plen = ASN1_STRING_length(oct);
}
/*
* EVP_PKEY_NONE means that ecx_key_op() has to figure out the key type
* on its own.
*/
ecx = ossl_ecx_key_op(palg, p, plen, EVP_PKEY_NONE, KEY_OP_PRIVATE,
libctx, propq);
ASN1_OCTET_STRING_free(oct);
return ecx;
}
#endif
|
./openssl/crypto/ec/ec_pmeth.c | /*
* Copyright 2006-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDH and ECDSA low level APIs are deprecated for public use, but still ok
* for internal use.
*/
#include "internal/deprecated.h"
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/asn1t.h>
#include <openssl/x509.h>
#include <openssl/ec.h>
#include "ec_local.h"
#include <openssl/evp.h>
#include "crypto/evp.h"
/* EC pkey context structure */
typedef struct {
/* Key and paramgen group */
EC_GROUP *gen_group;
/* message digest */
const EVP_MD *md;
/* Duplicate key if custom cofactor needed */
EC_KEY *co_key;
/* Cofactor mode */
signed char cofactor_mode;
/* KDF (if any) to use for ECDH */
char kdf_type;
/* Message digest to use for key derivation */
const EVP_MD *kdf_md;
/* User key material */
unsigned char *kdf_ukm;
size_t kdf_ukmlen;
/* KDF output length */
size_t kdf_outlen;
} EC_PKEY_CTX;
static int pkey_ec_init(EVP_PKEY_CTX *ctx)
{
EC_PKEY_CTX *dctx;
if ((dctx = OPENSSL_zalloc(sizeof(*dctx))) == NULL)
return 0;
dctx->cofactor_mode = -1;
dctx->kdf_type = EVP_PKEY_ECDH_KDF_NONE;
ctx->data = dctx;
return 1;
}
static int pkey_ec_copy(EVP_PKEY_CTX *dst, const EVP_PKEY_CTX *src)
{
EC_PKEY_CTX *dctx, *sctx;
if (!pkey_ec_init(dst))
return 0;
sctx = src->data;
dctx = dst->data;
if (sctx->gen_group) {
dctx->gen_group = EC_GROUP_dup(sctx->gen_group);
if (!dctx->gen_group)
return 0;
}
dctx->md = sctx->md;
if (sctx->co_key) {
dctx->co_key = EC_KEY_dup(sctx->co_key);
if (!dctx->co_key)
return 0;
}
dctx->kdf_type = sctx->kdf_type;
dctx->kdf_md = sctx->kdf_md;
dctx->kdf_outlen = sctx->kdf_outlen;
if (sctx->kdf_ukm) {
dctx->kdf_ukm = OPENSSL_memdup(sctx->kdf_ukm, sctx->kdf_ukmlen);
if (!dctx->kdf_ukm)
return 0;
} else
dctx->kdf_ukm = NULL;
dctx->kdf_ukmlen = sctx->kdf_ukmlen;
return 1;
}
static void pkey_ec_cleanup(EVP_PKEY_CTX *ctx)
{
EC_PKEY_CTX *dctx = ctx->data;
if (dctx != NULL) {
EC_GROUP_free(dctx->gen_group);
EC_KEY_free(dctx->co_key);
OPENSSL_free(dctx->kdf_ukm);
OPENSSL_free(dctx);
ctx->data = NULL;
}
}
static int pkey_ec_sign(EVP_PKEY_CTX *ctx, unsigned char *sig, size_t *siglen,
const unsigned char *tbs, size_t tbslen)
{
int ret, type;
unsigned int sltmp;
EC_PKEY_CTX *dctx = ctx->data;
/*
* Discard const. Its marked as const because this may be a cached copy of
* the "real" key. These calls don't make any modifications that need to
* be reflected back in the "original" key.
*/
EC_KEY *ec = (EC_KEY *)EVP_PKEY_get0_EC_KEY(ctx->pkey);
const int sig_sz = ECDSA_size(ec);
/* ensure cast to size_t is safe */
if (!ossl_assert(sig_sz > 0))
return 0;
if (sig == NULL) {
*siglen = (size_t)sig_sz;
return 1;
}
if (*siglen < (size_t)sig_sz) {
ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
return 0;
}
type = (dctx->md != NULL) ? EVP_MD_get_type(dctx->md) : NID_sha1;
ret = ECDSA_sign(type, tbs, tbslen, sig, &sltmp, ec);
if (ret <= 0)
return ret;
*siglen = (size_t)sltmp;
return 1;
}
static int pkey_ec_verify(EVP_PKEY_CTX *ctx,
const unsigned char *sig, size_t siglen,
const unsigned char *tbs, size_t tbslen)
{
int ret, type;
EC_PKEY_CTX *dctx = ctx->data;
/*
* Discard const. Its marked as const because this may be a cached copy of
* the "real" key. These calls don't make any modifications that need to
* be reflected back in the "original" key.
*/
EC_KEY *ec = (EC_KEY *)EVP_PKEY_get0_EC_KEY(ctx->pkey);
if (dctx->md)
type = EVP_MD_get_type(dctx->md);
else
type = NID_sha1;
ret = ECDSA_verify(type, tbs, tbslen, sig, siglen, ec);
return ret;
}
#ifndef OPENSSL_NO_EC
static int pkey_ec_derive(EVP_PKEY_CTX *ctx, unsigned char *key, size_t *keylen)
{
int ret;
size_t outlen;
const EC_POINT *pubkey = NULL;
EC_KEY *eckey;
const EC_KEY *eckeypub;
EC_PKEY_CTX *dctx = ctx->data;
if (ctx->pkey == NULL || ctx->peerkey == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_KEYS_NOT_SET);
return 0;
}
eckeypub = EVP_PKEY_get0_EC_KEY(ctx->peerkey);
if (eckeypub == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_KEYS_NOT_SET);
return 0;
}
eckey = dctx->co_key ? dctx->co_key
: (EC_KEY *)EVP_PKEY_get0_EC_KEY(ctx->pkey);
if (!key) {
const EC_GROUP *group;
group = EC_KEY_get0_group(eckey);
if (group == NULL)
return 0;
*keylen = (EC_GROUP_get_degree(group) + 7) / 8;
return 1;
}
pubkey = EC_KEY_get0_public_key(eckeypub);
/*
* NB: unlike PKCS#3 DH, if *outlen is less than maximum size this is not
* an error, the result is truncated.
*/
outlen = *keylen;
ret = ECDH_compute_key(key, outlen, pubkey, eckey, 0);
if (ret <= 0)
return 0;
*keylen = ret;
return 1;
}
static int pkey_ec_kdf_derive(EVP_PKEY_CTX *ctx,
unsigned char *key, size_t *keylen)
{
EC_PKEY_CTX *dctx = ctx->data;
unsigned char *ktmp = NULL;
size_t ktmplen;
int rv = 0;
if (dctx->kdf_type == EVP_PKEY_ECDH_KDF_NONE)
return pkey_ec_derive(ctx, key, keylen);
if (!key) {
*keylen = dctx->kdf_outlen;
return 1;
}
if (*keylen != dctx->kdf_outlen)
return 0;
if (!pkey_ec_derive(ctx, NULL, &ktmplen))
return 0;
if ((ktmp = OPENSSL_malloc(ktmplen)) == NULL)
return 0;
if (!pkey_ec_derive(ctx, ktmp, &ktmplen))
goto err;
/* Do KDF stuff */
if (!ossl_ecdh_kdf_X9_63(key, *keylen, ktmp, ktmplen,
dctx->kdf_ukm, dctx->kdf_ukmlen, dctx->kdf_md,
ctx->libctx, ctx->propquery))
goto err;
rv = 1;
err:
OPENSSL_clear_free(ktmp, ktmplen);
return rv;
}
#endif
static int pkey_ec_ctrl(EVP_PKEY_CTX *ctx, int type, int p1, void *p2)
{
EC_PKEY_CTX *dctx = ctx->data;
EC_GROUP *group;
switch (type) {
case EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID:
group = EC_GROUP_new_by_curve_name(p1);
if (group == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_CURVE);
return 0;
}
EC_GROUP_free(dctx->gen_group);
dctx->gen_group = group;
return 1;
case EVP_PKEY_CTRL_EC_PARAM_ENC:
if (!dctx->gen_group) {
ERR_raise(ERR_LIB_EC, EC_R_NO_PARAMETERS_SET);
return 0;
}
EC_GROUP_set_asn1_flag(dctx->gen_group, p1);
return 1;
#ifndef OPENSSL_NO_EC
case EVP_PKEY_CTRL_EC_ECDH_COFACTOR:
if (p1 == -2) {
if (dctx->cofactor_mode != -1)
return dctx->cofactor_mode;
else {
const EC_KEY *ec_key = EVP_PKEY_get0_EC_KEY(ctx->pkey);
return EC_KEY_get_flags(ec_key) & EC_FLAG_COFACTOR_ECDH ? 1 : 0;
}
} else if (p1 < -1 || p1 > 1)
return -2;
dctx->cofactor_mode = p1;
if (p1 != -1) {
EC_KEY *ec_key = (EC_KEY *)EVP_PKEY_get0_EC_KEY(ctx->pkey);
/*
* We discarded the "const" above. This will only work if the key is
* a "real" legacy key, and not a cached copy of a provided key
*/
if (evp_pkey_is_provided(ctx->pkey)) {
ERR_raise(ERR_LIB_EC, ERR_R_UNSUPPORTED);
return 0;
}
if (!ec_key->group)
return -2;
/* If cofactor is 1 cofactor mode does nothing */
if (BN_is_one(ec_key->group->cofactor))
return 1;
if (!dctx->co_key) {
dctx->co_key = EC_KEY_dup(ec_key);
if (!dctx->co_key)
return 0;
}
if (p1)
EC_KEY_set_flags(dctx->co_key, EC_FLAG_COFACTOR_ECDH);
else
EC_KEY_clear_flags(dctx->co_key, EC_FLAG_COFACTOR_ECDH);
} else {
EC_KEY_free(dctx->co_key);
dctx->co_key = NULL;
}
return 1;
#endif
case EVP_PKEY_CTRL_EC_KDF_TYPE:
if (p1 == -2)
return dctx->kdf_type;
if (p1 != EVP_PKEY_ECDH_KDF_NONE && p1 != EVP_PKEY_ECDH_KDF_X9_63)
return -2;
dctx->kdf_type = p1;
return 1;
case EVP_PKEY_CTRL_EC_KDF_MD:
dctx->kdf_md = p2;
return 1;
case EVP_PKEY_CTRL_GET_EC_KDF_MD:
*(const EVP_MD **)p2 = dctx->kdf_md;
return 1;
case EVP_PKEY_CTRL_EC_KDF_OUTLEN:
if (p1 <= 0)
return -2;
dctx->kdf_outlen = (size_t)p1;
return 1;
case EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN:
*(int *)p2 = dctx->kdf_outlen;
return 1;
case EVP_PKEY_CTRL_EC_KDF_UKM:
OPENSSL_free(dctx->kdf_ukm);
dctx->kdf_ukm = p2;
if (p2)
dctx->kdf_ukmlen = p1;
else
dctx->kdf_ukmlen = 0;
return 1;
case EVP_PKEY_CTRL_GET_EC_KDF_UKM:
*(unsigned char **)p2 = dctx->kdf_ukm;
return dctx->kdf_ukmlen;
case EVP_PKEY_CTRL_MD:
if (EVP_MD_get_type((const EVP_MD *)p2) != NID_sha1 &&
EVP_MD_get_type((const EVP_MD *)p2) != NID_ecdsa_with_SHA1 &&
EVP_MD_get_type((const EVP_MD *)p2) != NID_sha224 &&
EVP_MD_get_type((const EVP_MD *)p2) != NID_sha256 &&
EVP_MD_get_type((const EVP_MD *)p2) != NID_sha384 &&
EVP_MD_get_type((const EVP_MD *)p2) != NID_sha512 &&
EVP_MD_get_type((const EVP_MD *)p2) != NID_sha3_224 &&
EVP_MD_get_type((const EVP_MD *)p2) != NID_sha3_256 &&
EVP_MD_get_type((const EVP_MD *)p2) != NID_sha3_384 &&
EVP_MD_get_type((const EVP_MD *)p2) != NID_sha3_512 &&
EVP_MD_get_type((const EVP_MD *)p2) != NID_sm3) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_DIGEST_TYPE);
return 0;
}
dctx->md = p2;
return 1;
case EVP_PKEY_CTRL_GET_MD:
*(const EVP_MD **)p2 = dctx->md;
return 1;
case EVP_PKEY_CTRL_PEER_KEY:
/* Default behaviour is OK */
case EVP_PKEY_CTRL_DIGESTINIT:
case EVP_PKEY_CTRL_PKCS7_SIGN:
case EVP_PKEY_CTRL_CMS_SIGN:
return 1;
default:
return -2;
}
}
static int pkey_ec_ctrl_str(EVP_PKEY_CTX *ctx,
const char *type, const char *value)
{
if (strcmp(type, "ec_paramgen_curve") == 0) {
int nid;
nid = EC_curve_nist2nid(value);
if (nid == NID_undef)
nid = OBJ_sn2nid(value);
if (nid == NID_undef)
nid = OBJ_ln2nid(value);
if (nid == NID_undef) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_CURVE);
return 0;
}
return EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid);
} else if (strcmp(type, "ec_param_enc") == 0) {
int param_enc;
if (strcmp(value, "explicit") == 0)
param_enc = 0;
else if (strcmp(value, "named_curve") == 0)
param_enc = OPENSSL_EC_NAMED_CURVE;
else
return -2;
return EVP_PKEY_CTX_set_ec_param_enc(ctx, param_enc);
} else if (strcmp(type, "ecdh_kdf_md") == 0) {
const EVP_MD *md;
if ((md = EVP_get_digestbyname(value)) == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_DIGEST);
return 0;
}
return EVP_PKEY_CTX_set_ecdh_kdf_md(ctx, md);
} else if (strcmp(type, "ecdh_cofactor_mode") == 0) {
int co_mode;
co_mode = atoi(value);
return EVP_PKEY_CTX_set_ecdh_cofactor_mode(ctx, co_mode);
}
return -2;
}
static int pkey_ec_paramgen(EVP_PKEY_CTX *ctx, EVP_PKEY *pkey)
{
EC_KEY *ec = NULL;
EC_PKEY_CTX *dctx = ctx->data;
int ret;
if (dctx->gen_group == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_NO_PARAMETERS_SET);
return 0;
}
ec = EC_KEY_new();
if (ec == NULL)
return 0;
if (!(ret = EC_KEY_set_group(ec, dctx->gen_group))
|| !ossl_assert(ret = EVP_PKEY_assign_EC_KEY(pkey, ec)))
EC_KEY_free(ec);
return ret;
}
static int pkey_ec_keygen(EVP_PKEY_CTX *ctx, EVP_PKEY *pkey)
{
EC_KEY *ec = NULL;
EC_PKEY_CTX *dctx = ctx->data;
int ret;
if (ctx->pkey == NULL && dctx->gen_group == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_NO_PARAMETERS_SET);
return 0;
}
ec = EC_KEY_new();
if (ec == NULL)
return 0;
if (!ossl_assert(EVP_PKEY_assign_EC_KEY(pkey, ec))) {
EC_KEY_free(ec);
return 0;
}
/* Note: if error is returned, we count on caller to free pkey->pkey.ec */
if (ctx->pkey != NULL)
ret = EVP_PKEY_copy_parameters(pkey, ctx->pkey);
else
ret = EC_KEY_set_group(ec, dctx->gen_group);
return ret ? EC_KEY_generate_key(ec) : 0;
}
static const EVP_PKEY_METHOD ec_pkey_meth = {
EVP_PKEY_EC,
0,
pkey_ec_init,
pkey_ec_copy,
pkey_ec_cleanup,
0,
pkey_ec_paramgen,
0,
pkey_ec_keygen,
0,
pkey_ec_sign,
0,
pkey_ec_verify,
0, 0,
0, 0, 0, 0,
0,
0,
0,
0,
0,
#ifndef OPENSSL_NO_EC
pkey_ec_kdf_derive,
#else
0,
#endif
pkey_ec_ctrl,
pkey_ec_ctrl_str
};
const EVP_PKEY_METHOD *ossl_ec_pkey_method(void)
{
return &ec_pkey_meth;
}
|
./openssl/crypto/ec/ecdh_ossl.c | /*
* Copyright 2002-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDH low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <string.h>
#include <limits.h>
#include "internal/cryptlib.h"
#include <openssl/err.h>
#include <openssl/bn.h>
#include <openssl/objects.h>
#include <openssl/ec.h>
#include "ec_local.h"
int ossl_ecdh_compute_key(unsigned char **psec, size_t *pseclen,
const EC_POINT *pub_key, const EC_KEY *ecdh)
{
if (ecdh->group->meth->ecdh_compute_key == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_CURVE_DOES_NOT_SUPPORT_ECDH);
return 0;
}
return ecdh->group->meth->ecdh_compute_key(psec, pseclen, pub_key, ecdh);
}
/*-
* This implementation is based on the following primitives in the
* IEEE 1363 standard:
* - ECKAS-DH1
* - ECSVDP-DH
*
* It also conforms to SP800-56A r3
* See Section 5.7.1.2 "Elliptic Curve Cryptography Cofactor Diffie-Hellman
* (ECC CDH) Primitive:". The steps listed below refer to SP800-56A.
*/
int ossl_ecdh_simple_compute_key(unsigned char **pout, size_t *poutlen,
const EC_POINT *pub_key, const EC_KEY *ecdh)
{
BN_CTX *ctx;
EC_POINT *tmp = NULL;
BIGNUM *x = NULL;
const BIGNUM *priv_key;
const EC_GROUP *group;
int ret = 0;
size_t buflen, len;
unsigned char *buf = NULL;
if ((ctx = BN_CTX_new_ex(ecdh->libctx)) == NULL)
goto err;
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
if (x == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
priv_key = EC_KEY_get0_private_key(ecdh);
if (priv_key == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_MISSING_PRIVATE_KEY);
goto err;
}
group = EC_KEY_get0_group(ecdh);
/*
* Step(1) - Compute the point tmp = cofactor * owners_private_key
* * peer_public_key.
*/
if (EC_KEY_get_flags(ecdh) & EC_FLAG_COFACTOR_ECDH) {
if (!EC_GROUP_get_cofactor(group, x, NULL)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (!BN_mul(x, x, priv_key, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
priv_key = x;
}
if ((tmp = EC_POINT_new(group)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (!EC_POINT_mul(group, tmp, NULL, pub_key, priv_key, ctx)) {
ERR_raise(ERR_LIB_EC, EC_R_POINT_ARITHMETIC_FAILURE);
goto err;
}
/*
* Step(2) : If point tmp is at infinity then clear intermediate values and
* exit. Note: getting affine coordinates returns 0 if point is at infinity.
* Step(3a) : Get x-coordinate of point x = tmp.x
*/
if (!EC_POINT_get_affine_coordinates(group, tmp, x, NULL, ctx)) {
ERR_raise(ERR_LIB_EC, EC_R_POINT_ARITHMETIC_FAILURE);
goto err;
}
/*
* Step(3b) : convert x to a byte string, using the field-element-to-byte
* string conversion routine defined in Appendix C.2
*/
buflen = (EC_GROUP_get_degree(group) + 7) / 8;
len = BN_num_bytes(x);
if (len > buflen) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
goto err;
}
if ((buf = OPENSSL_malloc(buflen)) == NULL)
goto err;
memset(buf, 0, buflen - len);
if (len != (size_t)BN_bn2bin(x, buf + buflen - len)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
*pout = buf;
*poutlen = buflen;
buf = NULL;
ret = 1;
err:
/* Step(4) : Destroy all intermediate calculations */
BN_clear(x);
EC_POINT_clear_free(tmp);
BN_CTX_end(ctx);
BN_CTX_free(ctx);
OPENSSL_free(buf);
return ret;
}
|
./openssl/crypto/ec/ecp_s390x_nistp.c | /*
* Copyright 2019-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* EC_METHOD low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <stdlib.h>
#include <string.h>
#include <openssl/err.h>
#include <openssl/rand.h>
#include "ec_local.h"
#include "s390x_arch.h"
/* Size of parameter blocks */
#define S390X_SIZE_PARAM 4096
/* Size of fields in parameter blocks */
#define S390X_SIZE_P256 32
#define S390X_SIZE_P384 48
#define S390X_SIZE_P521 80
/* Offsets of fields in PCC parameter blocks */
#define S390X_OFF_RES_X(n) (0 * n)
#define S390X_OFF_RES_Y(n) (1 * n)
#define S390X_OFF_SRC_X(n) (2 * n)
#define S390X_OFF_SRC_Y(n) (3 * n)
#define S390X_OFF_SCALAR(n) (4 * n)
/* Offsets of fields in KDSA parameter blocks */
#define S390X_OFF_R(n) (0 * n)
#define S390X_OFF_S(n) (1 * n)
#define S390X_OFF_H(n) (2 * n)
#define S390X_OFF_K(n) (3 * n)
#define S390X_OFF_X(n) (3 * n)
#define S390X_OFF_RN(n) (4 * n)
#define S390X_OFF_Y(n) (4 * n)
static int ec_GFp_s390x_nistp_mul(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar,
size_t num, const EC_POINT *points[],
const BIGNUM *scalars[],
BN_CTX *ctx, unsigned int fc, int len)
{
unsigned char param[S390X_SIZE_PARAM];
BIGNUM *x, *y;
const EC_POINT *point_ptr = NULL;
const BIGNUM *scalar_ptr = NULL;
BN_CTX *new_ctx = NULL;
int rc = -1;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
return 0;
}
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
if (x == NULL || y == NULL) {
rc = 0;
goto ret;
}
/*
* Use PCC for EC keygen and ECDH key derivation:
* scalar * generator and scalar * peer public key,
* scalar in [0,order).
*/
if ((scalar != NULL && num == 0 && BN_is_negative(scalar) == 0)
|| (scalar == NULL && num == 1 && BN_is_negative(scalars[0]) == 0)) {
if (num == 0) {
point_ptr = EC_GROUP_get0_generator(group);
scalar_ptr = scalar;
} else {
point_ptr = points[0];
scalar_ptr = scalars[0];
}
if (EC_POINT_is_at_infinity(group, point_ptr) == 1
|| BN_is_zero(scalar_ptr)) {
rc = EC_POINT_set_to_infinity(group, r);
goto ret;
}
memset(¶m, 0, sizeof(param));
if (group->meth->point_get_affine_coordinates(group, point_ptr,
x, y, ctx) != 1
|| BN_bn2binpad(x, param + S390X_OFF_SRC_X(len), len) == -1
|| BN_bn2binpad(y, param + S390X_OFF_SRC_Y(len), len) == -1
|| BN_bn2binpad(scalar_ptr,
param + S390X_OFF_SCALAR(len), len) == -1
|| s390x_pcc(fc, param) != 0
|| BN_bin2bn(param + S390X_OFF_RES_X(len), len, x) == NULL
|| BN_bin2bn(param + S390X_OFF_RES_Y(len), len, y) == NULL
|| group->meth->point_set_affine_coordinates(group, r,
x, y, ctx) != 1)
goto ret;
rc = 1;
}
ret:
/* Otherwise use default. */
if (rc == -1)
rc = ossl_ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
OPENSSL_cleanse(param, sizeof(param));
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return rc;
}
static ECDSA_SIG *ecdsa_s390x_nistp_sign_sig(const unsigned char *dgst,
int dgstlen,
const BIGNUM *kinv,
const BIGNUM *r,
EC_KEY *eckey,
unsigned int fc, int len)
{
unsigned char param[S390X_SIZE_PARAM];
int ok = 0;
BIGNUM *k;
ECDSA_SIG *sig;
const EC_GROUP *group;
const BIGNUM *privkey;
int off;
group = EC_KEY_get0_group(eckey);
privkey = EC_KEY_get0_private_key(eckey);
if (group == NULL || privkey == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_MISSING_PARAMETERS);
return NULL;
}
if (!EC_KEY_can_sign(eckey)) {
ERR_raise(ERR_LIB_EC, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING);
return NULL;
}
k = BN_secure_new();
sig = ECDSA_SIG_new();
if (k == NULL || sig == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_ECDSA_LIB);
goto ret;
}
sig->r = BN_new();
sig->s = BN_new();
if (sig->r == NULL || sig->s == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto ret;
}
memset(param, 0, sizeof(param));
off = len - (dgstlen > len ? len : dgstlen);
memcpy(param + S390X_OFF_H(len) + off, dgst, len - off);
if (BN_bn2binpad(privkey, param + S390X_OFF_K(len), len) == -1) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto ret;
}
if (r == NULL || kinv == NULL) {
if (len < 0) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_LENGTH);
goto ret;
}
/*
* Generate random k and copy to param block. RAND_priv_bytes_ex
* is used instead of BN_priv_rand_range or BN_generate_dsa_nonce
* because kdsa instruction constructs an in-range, invertible nonce
* internally implementing counter-measures for RNG weakness.
*/
if (RAND_priv_bytes_ex(eckey->libctx, param + S390X_OFF_RN(len),
(size_t)len, 0) != 1) {
ERR_raise(ERR_LIB_EC, EC_R_RANDOM_NUMBER_GENERATION_FAILED);
goto ret;
}
} else {
/* Reconstruct k = (k^-1)^-1. */
if (ossl_ec_group_do_inverse_ord(group, k, kinv, NULL) == 0
|| BN_bn2binpad(k, param + S390X_OFF_RN(len), len) == -1) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto ret;
}
/* Turns KDSA internal nonce-generation off. */
fc |= S390X_KDSA_D;
}
if (s390x_kdsa(fc, param, NULL, 0) != 0) {
ERR_raise(ERR_LIB_EC, ERR_R_ECDSA_LIB);
goto ret;
}
if (BN_bin2bn(param + S390X_OFF_R(len), len, sig->r) == NULL
|| BN_bin2bn(param + S390X_OFF_S(len), len, sig->s) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto ret;
}
ok = 1;
ret:
OPENSSL_cleanse(param, sizeof(param));
if (ok != 1) {
ECDSA_SIG_free(sig);
sig = NULL;
}
BN_clear_free(k);
return sig;
}
static int ecdsa_s390x_nistp_verify_sig(const unsigned char *dgst, int dgstlen,
const ECDSA_SIG *sig, EC_KEY *eckey,
unsigned int fc, int len)
{
unsigned char param[S390X_SIZE_PARAM];
int rc = -1;
BN_CTX *ctx;
BIGNUM *x, *y;
const EC_GROUP *group;
const EC_POINT *pubkey;
int off;
group = EC_KEY_get0_group(eckey);
pubkey = EC_KEY_get0_public_key(eckey);
if (eckey == NULL || group == NULL || pubkey == NULL || sig == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_MISSING_PARAMETERS);
return -1;
}
if (!EC_KEY_can_sign(eckey)) {
ERR_raise(ERR_LIB_EC, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING);
return -1;
}
ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return -1;
}
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
if (x == NULL || y == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto ret;
}
memset(param, 0, sizeof(param));
off = len - (dgstlen > len ? len : dgstlen);
memcpy(param + S390X_OFF_H(len) + off, dgst, len - off);
if (group->meth->point_get_affine_coordinates(group, pubkey,
x, y, ctx) != 1
|| BN_bn2binpad(sig->r, param + S390X_OFF_R(len), len) == -1
|| BN_bn2binpad(sig->s, param + S390X_OFF_S(len), len) == -1
|| BN_bn2binpad(x, param + S390X_OFF_X(len), len) == -1
|| BN_bn2binpad(y, param + S390X_OFF_Y(len), len) == -1) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto ret;
}
rc = s390x_kdsa(fc, param, NULL, 0) == 0 ? 1 : 0;
ret:
BN_CTX_end(ctx);
BN_CTX_free(ctx);
return rc;
}
#define EC_GFP_S390X_NISTP_METHOD(bits) \
\
static int ec_GFp_s390x_nistp##bits##_mul(const EC_GROUP *group, \
EC_POINT *r, \
const BIGNUM *scalar, \
size_t num, \
const EC_POINT *points[], \
const BIGNUM *scalars[], \
BN_CTX *ctx) \
{ \
return ec_GFp_s390x_nistp_mul(group, r, scalar, num, points, \
scalars, ctx, \
S390X_SCALAR_MULTIPLY_P##bits, \
S390X_SIZE_P##bits); \
} \
\
static ECDSA_SIG *ecdsa_s390x_nistp##bits##_sign_sig(const unsigned \
char *dgst, \
int dgstlen, \
const BIGNUM *kinv,\
const BIGNUM *r, \
EC_KEY *eckey) \
{ \
return ecdsa_s390x_nistp_sign_sig(dgst, dgstlen, kinv, r, eckey, \
S390X_ECDSA_SIGN_P##bits, \
S390X_SIZE_P##bits); \
} \
\
static int ecdsa_s390x_nistp##bits##_verify_sig(const \
unsigned char *dgst, \
int dgstlen, \
const ECDSA_SIG *sig, \
EC_KEY *eckey) \
{ \
return ecdsa_s390x_nistp_verify_sig(dgst, dgstlen, sig, eckey, \
S390X_ECDSA_VERIFY_P##bits, \
S390X_SIZE_P##bits); \
} \
\
const EC_METHOD *EC_GFp_s390x_nistp##bits##_method(void) \
{ \
static const EC_METHOD EC_GFp_s390x_nistp##bits##_meth = { \
EC_FLAGS_DEFAULT_OCT, \
NID_X9_62_prime_field, \
ossl_ec_GFp_simple_group_init, \
ossl_ec_GFp_simple_group_finish, \
ossl_ec_GFp_simple_group_clear_finish, \
ossl_ec_GFp_simple_group_copy, \
ossl_ec_GFp_simple_group_set_curve, \
ossl_ec_GFp_simple_group_get_curve, \
ossl_ec_GFp_simple_group_get_degree, \
ossl_ec_group_simple_order_bits, \
ossl_ec_GFp_simple_group_check_discriminant, \
ossl_ec_GFp_simple_point_init, \
ossl_ec_GFp_simple_point_finish, \
ossl_ec_GFp_simple_point_clear_finish, \
ossl_ec_GFp_simple_point_copy, \
ossl_ec_GFp_simple_point_set_to_infinity, \
ossl_ec_GFp_simple_point_set_affine_coordinates, \
ossl_ec_GFp_simple_point_get_affine_coordinates, \
NULL, /* point_set_compressed_coordinates */ \
NULL, /* point2oct */ \
NULL, /* oct2point */ \
ossl_ec_GFp_simple_add, \
ossl_ec_GFp_simple_dbl, \
ossl_ec_GFp_simple_invert, \
ossl_ec_GFp_simple_is_at_infinity, \
ossl_ec_GFp_simple_is_on_curve, \
ossl_ec_GFp_simple_cmp, \
ossl_ec_GFp_simple_make_affine, \
ossl_ec_GFp_simple_points_make_affine, \
ec_GFp_s390x_nistp##bits##_mul, \
NULL, /* precompute_mult */ \
NULL, /* have_precompute_mult */ \
ossl_ec_GFp_simple_field_mul, \
ossl_ec_GFp_simple_field_sqr, \
NULL, /* field_div */ \
ossl_ec_GFp_simple_field_inv, \
NULL, /* field_encode */ \
NULL, /* field_decode */ \
NULL, /* field_set_to_one */ \
ossl_ec_key_simple_priv2oct, \
ossl_ec_key_simple_oct2priv, \
NULL, /* set_private */ \
ossl_ec_key_simple_generate_key, \
ossl_ec_key_simple_check_key, \
ossl_ec_key_simple_generate_public_key, \
NULL, /* keycopy */ \
NULL, /* keyfinish */ \
ossl_ecdh_simple_compute_key, \
ossl_ecdsa_simple_sign_setup, \
ecdsa_s390x_nistp##bits##_sign_sig, \
ecdsa_s390x_nistp##bits##_verify_sig, \
NULL, /* field_inverse_mod_ord */ \
ossl_ec_GFp_simple_blind_coordinates, \
ossl_ec_GFp_simple_ladder_pre, \
ossl_ec_GFp_simple_ladder_step, \
ossl_ec_GFp_simple_ladder_post \
}; \
static const EC_METHOD *ret; \
\
if ((OPENSSL_s390xcap_P.pcc[1] \
& S390X_CAPBIT(S390X_SCALAR_MULTIPLY_P##bits)) \
&& (OPENSSL_s390xcap_P.kdsa[0] \
& S390X_CAPBIT(S390X_ECDSA_VERIFY_P##bits)) \
&& (OPENSSL_s390xcap_P.kdsa[0] \
& S390X_CAPBIT(S390X_ECDSA_SIGN_P##bits))) \
ret = &EC_GFp_s390x_nistp##bits##_meth; \
else \
ret = EC_GFp_mont_method(); \
\
return ret; \
}
EC_GFP_S390X_NISTP_METHOD(256)
EC_GFP_S390X_NISTP_METHOD(384)
EC_GFP_S390X_NISTP_METHOD(521)
|
./openssl/crypto/ec/ecp_nistputil.c | /*
* Copyright 2011-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/* Copyright 2011 Google Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
*
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <openssl/opensslconf.h>
/*
* Common utility functions for ecp_nistp224.c, ecp_nistp256.c, ecp_nistp521.c.
*/
#include <stddef.h>
#include "ec_local.h"
/*
* Convert an array of points into affine coordinates. (If the point at
* infinity is found (Z = 0), it remains unchanged.) This function is
* essentially an equivalent to EC_POINTs_make_affine(), but works with the
* internal representation of points as used by ecp_nistp###.c rather than
* with (BIGNUM-based) EC_POINT data structures. point_array is the
* input/output buffer ('num' points in projective form, i.e. three
* coordinates each), based on an internal representation of field elements
* of size 'felem_size'. tmp_felems needs to point to a temporary array of
* 'num'+1 field elements for storage of intermediate values.
*/
void
ossl_ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array,
size_t felem_size,
void *tmp_felems,
void (*felem_one) (void *out),
int (*felem_is_zero) (const void
*in),
void (*felem_assign) (void *out,
const void
*in),
void (*felem_square) (void *out,
const void
*in),
void (*felem_mul) (void *out,
const void
*in1,
const void
*in2),
void (*felem_inv) (void *out,
const void
*in),
void (*felem_contract) (void
*out,
const
void
*in))
{
int i = 0;
#define tmp_felem(I) (&((char *)tmp_felems)[(I) * felem_size])
#define X(I) (&((char *)point_array)[3*(I) * felem_size])
#define Y(I) (&((char *)point_array)[(3*(I) + 1) * felem_size])
#define Z(I) (&((char *)point_array)[(3*(I) + 2) * felem_size])
if (!felem_is_zero(Z(0)))
felem_assign(tmp_felem(0), Z(0));
else
felem_one(tmp_felem(0));
for (i = 1; i < (int)num; i++) {
if (!felem_is_zero(Z(i)))
felem_mul(tmp_felem(i), tmp_felem(i - 1), Z(i));
else
felem_assign(tmp_felem(i), tmp_felem(i - 1));
}
/*
* Now each tmp_felem(i) is the product of Z(0) .. Z(i), skipping any
* zero-valued factors: if Z(i) = 0, we essentially pretend that Z(i) = 1
*/
felem_inv(tmp_felem(num - 1), tmp_felem(num - 1));
for (i = num - 1; i >= 0; i--) {
if (i > 0)
/*
* tmp_felem(i-1) is the product of Z(0) .. Z(i-1), tmp_felem(i)
* is the inverse of the product of Z(0) .. Z(i)
*/
/* 1/Z(i) */
felem_mul(tmp_felem(num), tmp_felem(i - 1), tmp_felem(i));
else
felem_assign(tmp_felem(num), tmp_felem(0)); /* 1/Z(0) */
if (!felem_is_zero(Z(i))) {
if (i > 0)
/*
* For next iteration, replace tmp_felem(i-1) by its inverse
*/
felem_mul(tmp_felem(i - 1), tmp_felem(i), Z(i));
/*
* Convert point (X, Y, Z) into affine form (X/(Z^2), Y/(Z^3), 1)
*/
felem_square(Z(i), tmp_felem(num)); /* 1/(Z^2) */
felem_mul(X(i), X(i), Z(i)); /* X/(Z^2) */
felem_mul(Z(i), Z(i), tmp_felem(num)); /* 1/(Z^3) */
felem_mul(Y(i), Y(i), Z(i)); /* Y/(Z^3) */
felem_contract(X(i), X(i));
felem_contract(Y(i), Y(i));
felem_one(Z(i));
} else {
if (i > 0)
/*
* For next iteration, replace tmp_felem(i-1) by its inverse
*/
felem_assign(tmp_felem(i - 1), tmp_felem(i));
}
}
}
/*-
* This function looks at 5+1 scalar bits (5 current, 1 adjacent less
* significant bit), and recodes them into a signed digit for use in fast point
* multiplication: the use of signed rather than unsigned digits means that
* fewer points need to be precomputed, given that point inversion is easy
* (a precomputed point dP makes -dP available as well).
*
* BACKGROUND:
*
* Signed digits for multiplication were introduced by Booth ("A signed binary
* multiplication technique", Quart. Journ. Mech. and Applied Math., vol. IV,
* pt. 2 (1951), pp. 236-240), in that case for multiplication of integers.
* Booth's original encoding did not generally improve the density of nonzero
* digits over the binary representation, and was merely meant to simplify the
* handling of signed factors given in two's complement; but it has since been
* shown to be the basis of various signed-digit representations that do have
* further advantages, including the wNAF, using the following general approach:
*
* (1) Given a binary representation
*
* b_k ... b_2 b_1 b_0,
*
* of a nonnegative integer (b_k in {0, 1}), rewrite it in digits 0, 1, -1
* by using bit-wise subtraction as follows:
*
* b_k b_(k-1) ... b_2 b_1 b_0
* - b_k ... b_3 b_2 b_1 b_0
* -----------------------------------------
* s_(k+1) s_k ... s_3 s_2 s_1 s_0
*
* A left-shift followed by subtraction of the original value yields a new
* representation of the same value, using signed bits s_i = b_(i-1) - b_i.
* This representation from Booth's paper has since appeared in the
* literature under a variety of different names including "reversed binary
* form", "alternating greedy expansion", "mutual opposite form", and
* "sign-alternating {+-1}-representation".
*
* An interesting property is that among the nonzero bits, values 1 and -1
* strictly alternate.
*
* (2) Various window schemes can be applied to the Booth representation of
* integers: for example, right-to-left sliding windows yield the wNAF
* (a signed-digit encoding independently discovered by various researchers
* in the 1990s), and left-to-right sliding windows yield a left-to-right
* equivalent of the wNAF (independently discovered by various researchers
* around 2004).
*
* To prevent leaking information through side channels in point multiplication,
* we need to recode the given integer into a regular pattern: sliding windows
* as in wNAFs won't do, we need their fixed-window equivalent -- which is a few
* decades older: we'll be using the so-called "modified Booth encoding" due to
* MacSorley ("High-speed arithmetic in binary computers", Proc. IRE, vol. 49
* (1961), pp. 67-91), in a radix-2^5 setting. That is, we always combine five
* signed bits into a signed digit:
*
* s_(5j + 4) s_(5j + 3) s_(5j + 2) s_(5j + 1) s_(5j)
*
* The sign-alternating property implies that the resulting digit values are
* integers from -16 to 16.
*
* Of course, we don't actually need to compute the signed digits s_i as an
* intermediate step (that's just a nice way to see how this scheme relates
* to the wNAF): a direct computation obtains the recoded digit from the
* six bits b_(5j + 4) ... b_(5j - 1).
*
* This function takes those six bits as an integer (0 .. 63), writing the
* recoded digit to *sign (0 for positive, 1 for negative) and *digit (absolute
* value, in the range 0 .. 16). Note that this integer essentially provides
* the input bits "shifted to the left" by one position: for example, the input
* to compute the least significant recoded digit, given that there's no bit
* b_-1, has to be b_4 b_3 b_2 b_1 b_0 0.
*
*/
void ossl_ec_GFp_nistp_recode_scalar_bits(unsigned char *sign,
unsigned char *digit, unsigned char in)
{
unsigned char s, d;
s = ~((in >> 5) - 1); /* sets all bits to MSB(in), 'in' seen as
* 6-bit value */
d = (1 << 6) - in - 1;
d = (d & s) | (in & ~s);
d = (d >> 1) + (d & 1);
*sign = s & 1;
*digit = d;
}
|
./openssl/crypto/ec/ec_deprecated.c | /*
* Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* Suppress deprecation warnings for EC low level implementations that are
* kept until removal.
*/
#define OPENSSL_SUPPRESS_DEPRECATED
#include <openssl/crypto.h>
#include <openssl/err.h>
#include <openssl/ec.h>
#ifndef OPENSSL_NO_DEPRECATED_3_0
BIGNUM *EC_POINT_point2bn(const EC_GROUP *group,
const EC_POINT *point,
point_conversion_form_t form,
BIGNUM *ret, BN_CTX *ctx)
{
size_t buf_len = 0;
unsigned char *buf;
buf_len = EC_POINT_point2buf(group, point, form, &buf, ctx);
if (buf_len == 0)
return NULL;
ret = BN_bin2bn(buf, buf_len, ret);
OPENSSL_free(buf);
return ret;
}
EC_POINT *EC_POINT_bn2point(const EC_GROUP *group,
const BIGNUM *bn, EC_POINT *point, BN_CTX *ctx)
{
size_t buf_len = 0;
unsigned char *buf;
EC_POINT *ret;
if ((buf_len = BN_num_bytes(bn)) == 0)
buf_len = 1;
if ((buf = OPENSSL_malloc(buf_len)) == NULL)
return NULL;
if (BN_bn2binpad(bn, buf, buf_len) < 0) {
OPENSSL_free(buf);
return NULL;
}
if (point == NULL) {
if ((ret = EC_POINT_new(group)) == NULL) {
OPENSSL_free(buf);
return NULL;
}
} else
ret = point;
if (!EC_POINT_oct2point(group, ret, buf, buf_len, ctx)) {
if (ret != point)
EC_POINT_clear_free(ret);
OPENSSL_free(buf);
return NULL;
}
OPENSSL_free(buf);
return ret;
}
#endif /* OPENSSL_NO_DEPRECATED_3_0 */
|
./openssl/crypto/ec/ecp_nistp384.c | /*
* Copyright 2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/* Copyright 2023 IBM Corp.
*
* Licensed under the Apache License, Version 2.0 (the "License");
*
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
/*
* Designed for 56-bit limbs by Rohan McLure <rohan.mclure@linux.ibm.com>.
* The layout is based on that of ecp_nistp{224,521}.c, allowing even for asm
* acceleration of felem_{square,mul} as supported in these files.
*/
#include <openssl/e_os2.h>
#include <string.h>
#include <openssl/err.h>
#include "ec_local.h"
#include "internal/numbers.h"
#ifndef INT128_MAX
# error "Your compiler doesn't appear to support 128-bit integer types"
#endif
typedef uint8_t u8;
typedef uint64_t u64;
/*
* The underlying field. P384 operates over GF(2^384-2^128-2^96+2^32-1). We
* can serialize an element of this field into 48 bytes. We call this an
* felem_bytearray.
*/
typedef u8 felem_bytearray[48];
/*
* These are the parameters of P384, taken from FIPS 186-3, section D.1.2.4.
* These values are big-endian.
*/
static const felem_bytearray nistp384_curve_params[5] = {
{0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, /* p */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF},
{0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, /* a = -3 */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFC},
{0xB3, 0x31, 0x2F, 0xA7, 0xE2, 0x3E, 0xE7, 0xE4, 0x98, 0x8E, 0x05, 0x6B, /* b */
0xE3, 0xF8, 0x2D, 0x19, 0x18, 0x1D, 0x9C, 0x6E, 0xFE, 0x81, 0x41, 0x12,
0x03, 0x14, 0x08, 0x8F, 0x50, 0x13, 0x87, 0x5A, 0xC6, 0x56, 0x39, 0x8D,
0x8A, 0x2E, 0xD1, 0x9D, 0x2A, 0x85, 0xC8, 0xED, 0xD3, 0xEC, 0x2A, 0xEF},
{0xAA, 0x87, 0xCA, 0x22, 0xBE, 0x8B, 0x05, 0x37, 0x8E, 0xB1, 0xC7, 0x1E, /* x */
0xF3, 0x20, 0xAD, 0x74, 0x6E, 0x1D, 0x3B, 0x62, 0x8B, 0xA7, 0x9B, 0x98,
0x59, 0xF7, 0x41, 0xE0, 0x82, 0x54, 0x2A, 0x38, 0x55, 0x02, 0xF2, 0x5D,
0xBF, 0x55, 0x29, 0x6C, 0x3A, 0x54, 0x5E, 0x38, 0x72, 0x76, 0x0A, 0xB7},
{0x36, 0x17, 0xDE, 0x4A, 0x96, 0x26, 0x2C, 0x6F, 0x5D, 0x9E, 0x98, 0xBF, /* y */
0x92, 0x92, 0xDC, 0x29, 0xF8, 0xF4, 0x1D, 0xBD, 0x28, 0x9A, 0x14, 0x7C,
0xE9, 0xDA, 0x31, 0x13, 0xB5, 0xF0, 0xB8, 0xC0, 0x0A, 0x60, 0xB1, 0xCE,
0x1D, 0x7E, 0x81, 0x9D, 0x7A, 0x43, 0x1D, 0x7C, 0x90, 0xEA, 0x0E, 0x5F},
};
/*-
* The representation of field elements.
* ------------------------------------
*
* We represent field elements with seven values. These values are either 64 or
* 128 bits and the field element represented is:
* v[0]*2^0 + v[1]*2^56 + v[2]*2^112 + ... + v[6]*2^336 (mod p)
* Each of the seven values is called a 'limb'. Since the limbs are spaced only
* 56 bits apart, but are greater than 56 bits in length, the most significant
* bits of each limb overlap with the least significant bits of the next
*
* This representation is considered to be 'redundant' in the sense that
* intermediate values can each contain more than a 56-bit value in each limb.
* Reduction causes all but the final limb to be reduced to contain a value less
* than 2^56, with the final value represented allowed to be larger than 2^384,
* inasmuch as we can be sure that arithmetic overflow remains impossible. The
* reduced value must of course be congruent to the unreduced value.
*
* A field element with 64-bit limbs is an 'felem'. One with 128-bit limbs is a
* 'widefelem', featuring enough bits to store the result of a multiplication
* and even some further arithmetic without need for immediate reduction.
*/
#define NLIMBS 7
typedef uint64_t limb;
typedef uint128_t widelimb;
typedef limb limb_aX __attribute((__aligned__(1)));
typedef limb felem[NLIMBS];
typedef widelimb widefelem[2*NLIMBS-1];
static const limb bottom56bits = 0xffffffffffffff;
/* Helper functions (de)serialising reduced field elements in little endian */
static void bin48_to_felem(felem out, const u8 in[48])
{
memset(out, 0, 56);
out[0] = (*((limb *) & in[0])) & bottom56bits;
out[1] = (*((limb_aX *) & in[7])) & bottom56bits;
out[2] = (*((limb_aX *) & in[14])) & bottom56bits;
out[3] = (*((limb_aX *) & in[21])) & bottom56bits;
out[4] = (*((limb_aX *) & in[28])) & bottom56bits;
out[5] = (*((limb_aX *) & in[35])) & bottom56bits;
memmove(&out[6], &in[42], 6);
}
static void felem_to_bin48(u8 out[48], const felem in)
{
memset(out, 0, 48);
(*((limb *) & out[0])) |= (in[0] & bottom56bits);
(*((limb_aX *) & out[7])) |= (in[1] & bottom56bits);
(*((limb_aX *) & out[14])) |= (in[2] & bottom56bits);
(*((limb_aX *) & out[21])) |= (in[3] & bottom56bits);
(*((limb_aX *) & out[28])) |= (in[4] & bottom56bits);
(*((limb_aX *) & out[35])) |= (in[5] & bottom56bits);
memmove(&out[42], &in[6], 6);
}
/* BN_to_felem converts an OpenSSL BIGNUM into an felem */
static int BN_to_felem(felem out, const BIGNUM *bn)
{
felem_bytearray b_out;
int num_bytes;
if (BN_is_negative(bn)) {
ERR_raise(ERR_LIB_EC, EC_R_BIGNUM_OUT_OF_RANGE);
return 0;
}
num_bytes = BN_bn2lebinpad(bn, b_out, sizeof(b_out));
if (num_bytes < 0) {
ERR_raise(ERR_LIB_EC, EC_R_BIGNUM_OUT_OF_RANGE);
return 0;
}
bin48_to_felem(out, b_out);
return 1;
}
/* felem_to_BN converts an felem into an OpenSSL BIGNUM */
static BIGNUM *felem_to_BN(BIGNUM *out, const felem in)
{
felem_bytearray b_out;
felem_to_bin48(b_out, in);
return BN_lebin2bn(b_out, sizeof(b_out), out);
}
/*-
* Field operations
* ----------------
*/
static void felem_one(felem out)
{
out[0] = 1;
memset(&out[1], 0, sizeof(limb) * (NLIMBS-1));
}
static void felem_assign(felem out, const felem in)
{
memcpy(out, in, sizeof(felem));
}
/* felem_sum64 sets out = out + in. */
static void felem_sum64(felem out, const felem in)
{
unsigned int i;
for (i = 0; i < NLIMBS; i++)
out[i] += in[i];
}
/* felem_scalar sets out = in * scalar */
static void felem_scalar(felem out, const felem in, limb scalar)
{
unsigned int i;
for (i = 0; i < NLIMBS; i++)
out[i] = in[i] * scalar;
}
/* felem_scalar64 sets out = out * scalar */
static void felem_scalar64(felem out, limb scalar)
{
unsigned int i;
for (i = 0; i < NLIMBS; i++)
out[i] *= scalar;
}
/* felem_scalar128 sets out = out * scalar */
static void felem_scalar128(widefelem out, limb scalar)
{
unsigned int i;
for (i = 0; i < 2*NLIMBS-1; i++)
out[i] *= scalar;
}
/*-
* felem_neg sets |out| to |-in|
* On entry:
* in[i] < 2^60 - 2^29
* On exit:
* out[i] < 2^60
*/
static void felem_neg(felem out, const felem in)
{
/*
* In order to prevent underflow, we add a multiple of p before subtracting.
* Use telescopic sums to represent 2^12 * p redundantly with each limb
* of the form 2^60 + ...
*/
static const limb two60m52m4 = (((limb) 1) << 60)
- (((limb) 1) << 52)
- (((limb) 1) << 4);
static const limb two60p44m12 = (((limb) 1) << 60)
+ (((limb) 1) << 44)
- (((limb) 1) << 12);
static const limb two60m28m4 = (((limb) 1) << 60)
- (((limb) 1) << 28)
- (((limb) 1) << 4);
static const limb two60m4 = (((limb) 1) << 60)
- (((limb) 1) << 4);
out[0] = two60p44m12 - in[0];
out[1] = two60m52m4 - in[1];
out[2] = two60m28m4 - in[2];
out[3] = two60m4 - in[3];
out[4] = two60m4 - in[4];
out[5] = two60m4 - in[5];
out[6] = two60m4 - in[6];
}
/*-
* felem_diff64 subtracts |in| from |out|
* On entry:
* in[i] < 2^60 - 2^52 - 2^4
* On exit:
* out[i] < out_orig[i] + 2^60 + 2^44
*/
static void felem_diff64(felem out, const felem in)
{
/*
* In order to prevent underflow, we add a multiple of p before subtracting.
* Use telescopic sums to represent 2^12 * p redundantly with each limb
* of the form 2^60 + ...
*/
static const limb two60m52m4 = (((limb) 1) << 60)
- (((limb) 1) << 52)
- (((limb) 1) << 4);
static const limb two60p44m12 = (((limb) 1) << 60)
+ (((limb) 1) << 44)
- (((limb) 1) << 12);
static const limb two60m28m4 = (((limb) 1) << 60)
- (((limb) 1) << 28)
- (((limb) 1) << 4);
static const limb two60m4 = (((limb) 1) << 60)
- (((limb) 1) << 4);
out[0] += two60p44m12 - in[0];
out[1] += two60m52m4 - in[1];
out[2] += two60m28m4 - in[2];
out[3] += two60m4 - in[3];
out[4] += two60m4 - in[4];
out[5] += two60m4 - in[5];
out[6] += two60m4 - in[6];
}
/*
* in[i] < 2^63
* out[i] < out_orig[i] + 2^64 + 2^48
*/
static void felem_diff_128_64(widefelem out, const felem in)
{
/*
* In order to prevent underflow, we add a multiple of p before subtracting.
* Use telescopic sums to represent 2^16 * p redundantly with each limb
* of the form 2^64 + ...
*/
static const widelimb two64m56m8 = (((widelimb) 1) << 64)
- (((widelimb) 1) << 56)
- (((widelimb) 1) << 8);
static const widelimb two64m32m8 = (((widelimb) 1) << 64)
- (((widelimb) 1) << 32)
- (((widelimb) 1) << 8);
static const widelimb two64m8 = (((widelimb) 1) << 64)
- (((widelimb) 1) << 8);
static const widelimb two64p48m16 = (((widelimb) 1) << 64)
+ (((widelimb) 1) << 48)
- (((widelimb) 1) << 16);
unsigned int i;
out[0] += two64p48m16;
out[1] += two64m56m8;
out[2] += two64m32m8;
out[3] += two64m8;
out[4] += two64m8;
out[5] += two64m8;
out[6] += two64m8;
for (i = 0; i < NLIMBS; i++)
out[i] -= in[i];
}
/*
* in[i] < 2^127 - 2^119 - 2^71
* out[i] < out_orig[i] + 2^127 + 2^111
*/
static void felem_diff128(widefelem out, const widefelem in)
{
/*
* In order to prevent underflow, we add a multiple of p before subtracting.
* Use telescopic sums to represent 2^415 * p redundantly with each limb
* of the form 2^127 + ...
*/
static const widelimb two127 = ((widelimb) 1) << 127;
static const widelimb two127m71 = (((widelimb) 1) << 127)
- (((widelimb) 1) << 71);
static const widelimb two127p111m79m71 = (((widelimb) 1) << 127)
+ (((widelimb) 1) << 111)
- (((widelimb) 1) << 79)
- (((widelimb) 1) << 71);
static const widelimb two127m119m71 = (((widelimb) 1) << 127)
- (((widelimb) 1) << 119)
- (((widelimb) 1) << 71);
static const widelimb two127m95m71 = (((widelimb) 1) << 127)
- (((widelimb) 1) << 95)
- (((widelimb) 1) << 71);
unsigned int i;
out[0] += two127;
out[1] += two127m71;
out[2] += two127m71;
out[3] += two127m71;
out[4] += two127m71;
out[5] += two127m71;
out[6] += two127p111m79m71;
out[7] += two127m119m71;
out[8] += two127m95m71;
out[9] += two127m71;
out[10] += two127m71;
out[11] += two127m71;
out[12] += two127m71;
for (i = 0; i < 2*NLIMBS-1; i++)
out[i] -= in[i];
}
static void felem_square_ref(widefelem out, const felem in)
{
felem inx2;
felem_scalar(inx2, in, 2);
out[0] = ((uint128_t) in[0]) * in[0];
out[1] = ((uint128_t) in[0]) * inx2[1];
out[2] = ((uint128_t) in[0]) * inx2[2]
+ ((uint128_t) in[1]) * in[1];
out[3] = ((uint128_t) in[0]) * inx2[3]
+ ((uint128_t) in[1]) * inx2[2];
out[4] = ((uint128_t) in[0]) * inx2[4]
+ ((uint128_t) in[1]) * inx2[3]
+ ((uint128_t) in[2]) * in[2];
out[5] = ((uint128_t) in[0]) * inx2[5]
+ ((uint128_t) in[1]) * inx2[4]
+ ((uint128_t) in[2]) * inx2[3];
out[6] = ((uint128_t) in[0]) * inx2[6]
+ ((uint128_t) in[1]) * inx2[5]
+ ((uint128_t) in[2]) * inx2[4]
+ ((uint128_t) in[3]) * in[3];
out[7] = ((uint128_t) in[1]) * inx2[6]
+ ((uint128_t) in[2]) * inx2[5]
+ ((uint128_t) in[3]) * inx2[4];
out[8] = ((uint128_t) in[2]) * inx2[6]
+ ((uint128_t) in[3]) * inx2[5]
+ ((uint128_t) in[4]) * in[4];
out[9] = ((uint128_t) in[3]) * inx2[6]
+ ((uint128_t) in[4]) * inx2[5];
out[10] = ((uint128_t) in[4]) * inx2[6]
+ ((uint128_t) in[5]) * in[5];
out[11] = ((uint128_t) in[5]) * inx2[6];
out[12] = ((uint128_t) in[6]) * in[6];
}
static void felem_mul_ref(widefelem out, const felem in1, const felem in2)
{
out[0] = ((uint128_t) in1[0]) * in2[0];
out[1] = ((uint128_t) in1[0]) * in2[1]
+ ((uint128_t) in1[1]) * in2[0];
out[2] = ((uint128_t) in1[0]) * in2[2]
+ ((uint128_t) in1[1]) * in2[1]
+ ((uint128_t) in1[2]) * in2[0];
out[3] = ((uint128_t) in1[0]) * in2[3]
+ ((uint128_t) in1[1]) * in2[2]
+ ((uint128_t) in1[2]) * in2[1]
+ ((uint128_t) in1[3]) * in2[0];
out[4] = ((uint128_t) in1[0]) * in2[4]
+ ((uint128_t) in1[1]) * in2[3]
+ ((uint128_t) in1[2]) * in2[2]
+ ((uint128_t) in1[3]) * in2[1]
+ ((uint128_t) in1[4]) * in2[0];
out[5] = ((uint128_t) in1[0]) * in2[5]
+ ((uint128_t) in1[1]) * in2[4]
+ ((uint128_t) in1[2]) * in2[3]
+ ((uint128_t) in1[3]) * in2[2]
+ ((uint128_t) in1[4]) * in2[1]
+ ((uint128_t) in1[5]) * in2[0];
out[6] = ((uint128_t) in1[0]) * in2[6]
+ ((uint128_t) in1[1]) * in2[5]
+ ((uint128_t) in1[2]) * in2[4]
+ ((uint128_t) in1[3]) * in2[3]
+ ((uint128_t) in1[4]) * in2[2]
+ ((uint128_t) in1[5]) * in2[1]
+ ((uint128_t) in1[6]) * in2[0];
out[7] = ((uint128_t) in1[1]) * in2[6]
+ ((uint128_t) in1[2]) * in2[5]
+ ((uint128_t) in1[3]) * in2[4]
+ ((uint128_t) in1[4]) * in2[3]
+ ((uint128_t) in1[5]) * in2[2]
+ ((uint128_t) in1[6]) * in2[1];
out[8] = ((uint128_t) in1[2]) * in2[6]
+ ((uint128_t) in1[3]) * in2[5]
+ ((uint128_t) in1[4]) * in2[4]
+ ((uint128_t) in1[5]) * in2[3]
+ ((uint128_t) in1[6]) * in2[2];
out[9] = ((uint128_t) in1[3]) * in2[6]
+ ((uint128_t) in1[4]) * in2[5]
+ ((uint128_t) in1[5]) * in2[4]
+ ((uint128_t) in1[6]) * in2[3];
out[10] = ((uint128_t) in1[4]) * in2[6]
+ ((uint128_t) in1[5]) * in2[5]
+ ((uint128_t) in1[6]) * in2[4];
out[11] = ((uint128_t) in1[5]) * in2[6]
+ ((uint128_t) in1[6]) * in2[5];
out[12] = ((uint128_t) in1[6]) * in2[6];
}
/*-
* Reduce thirteen 128-bit coefficients to seven 64-bit coefficients.
* in[i] < 2^128 - 2^125
* out[i] < 2^56 for i < 6,
* out[6] <= 2^48
*
* The technique in use here stems from the format of the prime modulus:
* P384 = 2^384 - delta
*
* Thus we can reduce numbers of the form (X + 2^384 * Y) by substituting
* them with (X + delta Y), with delta = 2^128 + 2^96 + (-2^32 + 1). These
* coefficients are still quite large, and so we repeatedly apply this
* technique on high-order bits in order to guarantee the desired bounds on
* the size of our output.
*
* The three phases of elimination are as follows:
* [1]: Y = 2^120 (in[12] | in[11] | in[10] | in[9])
* [2]: Y = 2^8 (acc[8] | acc[7])
* [3]: Y = 2^48 (acc[6] >> 48)
* (Where a | b | c | d = (2^56)^3 a + (2^56)^2 b + (2^56) c + d)
*/
static void felem_reduce(felem out, const widefelem in)
{
/*
* In order to prevent underflow, we add a multiple of p before subtracting.
* Use telescopic sums to represent 2^76 * p redundantly with each limb
* of the form 2^124 + ...
*/
static const widelimb two124m68 = (((widelimb) 1) << 124)
- (((widelimb) 1) << 68);
static const widelimb two124m116m68 = (((widelimb) 1) << 124)
- (((widelimb) 1) << 116)
- (((widelimb) 1) << 68);
static const widelimb two124p108m76 = (((widelimb) 1) << 124)
+ (((widelimb) 1) << 108)
- (((widelimb) 1) << 76);
static const widelimb two124m92m68 = (((widelimb) 1) << 124)
- (((widelimb) 1) << 92)
- (((widelimb) 1) << 68);
widelimb temp, acc[9];
unsigned int i;
memcpy(acc, in, sizeof(widelimb) * 9);
acc[0] += two124p108m76;
acc[1] += two124m116m68;
acc[2] += two124m92m68;
acc[3] += two124m68;
acc[4] += two124m68;
acc[5] += two124m68;
acc[6] += two124m68;
/* [1]: Eliminate in[9], ..., in[12] */
acc[8] += in[12] >> 32;
acc[7] += (in[12] & 0xffffffff) << 24;
acc[7] += in[12] >> 8;
acc[6] += (in[12] & 0xff) << 48;
acc[6] -= in[12] >> 16;
acc[5] -= (in[12] & 0xffff) << 40;
acc[6] += in[12] >> 48;
acc[5] += (in[12] & 0xffffffffffff) << 8;
acc[7] += in[11] >> 32;
acc[6] += (in[11] & 0xffffffff) << 24;
acc[6] += in[11] >> 8;
acc[5] += (in[11] & 0xff) << 48;
acc[5] -= in[11] >> 16;
acc[4] -= (in[11] & 0xffff) << 40;
acc[5] += in[11] >> 48;
acc[4] += (in[11] & 0xffffffffffff) << 8;
acc[6] += in[10] >> 32;
acc[5] += (in[10] & 0xffffffff) << 24;
acc[5] += in[10] >> 8;
acc[4] += (in[10] & 0xff) << 48;
acc[4] -= in[10] >> 16;
acc[3] -= (in[10] & 0xffff) << 40;
acc[4] += in[10] >> 48;
acc[3] += (in[10] & 0xffffffffffff) << 8;
acc[5] += in[9] >> 32;
acc[4] += (in[9] & 0xffffffff) << 24;
acc[4] += in[9] >> 8;
acc[3] += (in[9] & 0xff) << 48;
acc[3] -= in[9] >> 16;
acc[2] -= (in[9] & 0xffff) << 40;
acc[3] += in[9] >> 48;
acc[2] += (in[9] & 0xffffffffffff) << 8;
/*
* [2]: Eliminate acc[7], acc[8], that is the 7 and eighth limbs, as
* well as the contributions made from eliminating higher limbs.
* acc[7] < in[7] + 2^120 + 2^56 < in[7] + 2^121
* acc[8] < in[8] + 2^96
*/
acc[4] += acc[8] >> 32;
acc[3] += (acc[8] & 0xffffffff) << 24;
acc[3] += acc[8] >> 8;
acc[2] += (acc[8] & 0xff) << 48;
acc[2] -= acc[8] >> 16;
acc[1] -= (acc[8] & 0xffff) << 40;
acc[2] += acc[8] >> 48;
acc[1] += (acc[8] & 0xffffffffffff) << 8;
acc[3] += acc[7] >> 32;
acc[2] += (acc[7] & 0xffffffff) << 24;
acc[2] += acc[7] >> 8;
acc[1] += (acc[7] & 0xff) << 48;
acc[1] -= acc[7] >> 16;
acc[0] -= (acc[7] & 0xffff) << 40;
acc[1] += acc[7] >> 48;
acc[0] += (acc[7] & 0xffffffffffff) << 8;
/*-
* acc[k] < in[k] + 2^124 + 2^121
* < in[k] + 2^125
* < 2^128, for k <= 6
*/
/*
* Carry 4 -> 5 -> 6
* This has the effect of ensuring that these more significant limbs
* will be small in value after eliminating high bits from acc[6].
*/
acc[5] += acc[4] >> 56;
acc[4] &= 0x00ffffffffffffff;
acc[6] += acc[5] >> 56;
acc[5] &= 0x00ffffffffffffff;
/*-
* acc[6] < in[6] + 2^124 + 2^121 + 2^72 + 2^16
* < in[6] + 2^125
* < 2^128
*/
/* [3]: Eliminate high bits of acc[6] */
temp = acc[6] >> 48;
acc[6] &= 0x0000ffffffffffff;
/* temp < 2^80 */
acc[3] += temp >> 40;
acc[2] += (temp & 0xffffffffff) << 16;
acc[2] += temp >> 16;
acc[1] += (temp & 0xffff) << 40;
acc[1] -= temp >> 24;
acc[0] -= (temp & 0xffffff) << 32;
acc[0] += temp;
/*-
* acc[k] < acc_old[k] + 2^64 + 2^56
* < in[k] + 2^124 + 2^121 + 2^72 + 2^64 + 2^56 + 2^16 , k < 4
*/
/* Carry 0 -> 1 -> 2 -> 3 -> 4 -> 5 -> 6 */
acc[1] += acc[0] >> 56; /* acc[1] < acc_old[1] + 2^72 */
acc[0] &= 0x00ffffffffffffff;
acc[2] += acc[1] >> 56; /* acc[2] < acc_old[2] + 2^72 + 2^16 */
acc[1] &= 0x00ffffffffffffff;
acc[3] += acc[2] >> 56; /* acc[3] < acc_old[3] + 2^72 + 2^16 */
acc[2] &= 0x00ffffffffffffff;
/*-
* acc[k] < acc_old[k] + 2^72 + 2^16
* < in[k] + 2^124 + 2^121 + 2^73 + 2^64 + 2^56 + 2^17
* < in[k] + 2^125
* < 2^128 , k < 4
*/
acc[4] += acc[3] >> 56; /*-
* acc[4] < acc_old[4] + 2^72 + 2^16
* < 2^72 + 2^56 + 2^16
*/
acc[3] &= 0x00ffffffffffffff;
acc[5] += acc[4] >> 56; /*-
* acc[5] < acc_old[5] + 2^16 + 1
* < 2^56 + 2^16 + 1
*/
acc[4] &= 0x00ffffffffffffff;
acc[6] += acc[5] >> 56; /* acc[6] < 2^48 + 1 <= 2^48 */
acc[5] &= 0x00ffffffffffffff;
for (i = 0; i < NLIMBS; i++)
out[i] = acc[i];
}
#if defined(ECP_NISTP384_ASM)
static void felem_square_wrapper(widefelem out, const felem in);
static void felem_mul_wrapper(widefelem out, const felem in1, const felem in2);
static void (*felem_square_p)(widefelem out, const felem in) =
felem_square_wrapper;
static void (*felem_mul_p)(widefelem out, const felem in1, const felem in2) =
felem_mul_wrapper;
void p384_felem_square(widefelem out, const felem in);
void p384_felem_mul(widefelem out, const felem in1, const felem in2);
# if defined(_ARCH_PPC64)
# include "crypto/ppc_arch.h"
# endif
static void felem_select(void)
{
# if defined(_ARCH_PPC64)
if ((OPENSSL_ppccap_P & PPC_MADD300) && (OPENSSL_ppccap_P & PPC_ALTIVEC)) {
felem_square_p = p384_felem_square;
felem_mul_p = p384_felem_mul;
return;
}
# endif
/* Default */
felem_square_p = felem_square_ref;
felem_mul_p = felem_mul_ref;
}
static void felem_square_wrapper(widefelem out, const felem in)
{
felem_select();
felem_square_p(out, in);
}
static void felem_mul_wrapper(widefelem out, const felem in1, const felem in2)
{
felem_select();
felem_mul_p(out, in1, in2);
}
# define felem_square felem_square_p
# define felem_mul felem_mul_p
#else
# define felem_square felem_square_ref
# define felem_mul felem_mul_ref
#endif
static ossl_inline void felem_square_reduce(felem out, const felem in)
{
widefelem tmp;
felem_square(tmp, in);
felem_reduce(out, tmp);
}
static ossl_inline void felem_mul_reduce(felem out, const felem in1, const felem in2)
{
widefelem tmp;
felem_mul(tmp, in1, in2);
felem_reduce(out, tmp);
}
/*-
* felem_inv calculates |out| = |in|^{-1}
*
* Based on Fermat's Little Theorem:
* a^p = a (mod p)
* a^{p-1} = 1 (mod p)
* a^{p-2} = a^{-1} (mod p)
*/
static void felem_inv(felem out, const felem in)
{
felem ftmp, ftmp2, ftmp3, ftmp4, ftmp5, ftmp6;
unsigned int i = 0;
felem_square_reduce(ftmp, in); /* 2^1 */
felem_mul_reduce(ftmp, ftmp, in); /* 2^1 + 2^0 */
felem_assign(ftmp2, ftmp);
felem_square_reduce(ftmp, ftmp); /* 2^2 + 2^1 */
felem_mul_reduce(ftmp, ftmp, in); /* 2^2 + 2^1 * 2^0 */
felem_assign(ftmp3, ftmp);
for (i = 0; i < 3; i++)
felem_square_reduce(ftmp, ftmp); /* 2^5 + 2^4 + 2^3 */
felem_mul_reduce(ftmp, ftmp3, ftmp); /* 2^5 + 2^4 + 2^3 + 2^2 + 2^1 + 2^0 */
felem_assign(ftmp4, ftmp);
for (i = 0; i < 6; i++)
felem_square_reduce(ftmp, ftmp); /* 2^11 + ... + 2^6 */
felem_mul_reduce(ftmp, ftmp4, ftmp); /* 2^11 + ... + 2^0 */
for (i = 0; i < 3; i++)
felem_square_reduce(ftmp, ftmp); /* 2^14 + ... + 2^3 */
felem_mul_reduce(ftmp, ftmp3, ftmp); /* 2^14 + ... + 2^0 */
felem_assign(ftmp5, ftmp);
for (i = 0; i < 15; i++)
felem_square_reduce(ftmp, ftmp); /* 2^29 + ... + 2^15 */
felem_mul_reduce(ftmp, ftmp5, ftmp); /* 2^29 + ... + 2^0 */
felem_assign(ftmp6, ftmp);
for (i = 0; i < 30; i++)
felem_square_reduce(ftmp, ftmp); /* 2^59 + ... + 2^30 */
felem_mul_reduce(ftmp, ftmp6, ftmp); /* 2^59 + ... + 2^0 */
felem_assign(ftmp4, ftmp);
for (i = 0; i < 60; i++)
felem_square_reduce(ftmp, ftmp); /* 2^119 + ... + 2^60 */
felem_mul_reduce(ftmp, ftmp4, ftmp); /* 2^119 + ... + 2^0 */
felem_assign(ftmp4, ftmp);
for (i = 0; i < 120; i++)
felem_square_reduce(ftmp, ftmp); /* 2^239 + ... + 2^120 */
felem_mul_reduce(ftmp, ftmp4, ftmp); /* 2^239 + ... + 2^0 */
for (i = 0; i < 15; i++)
felem_square_reduce(ftmp, ftmp); /* 2^254 + ... + 2^15 */
felem_mul_reduce(ftmp, ftmp5, ftmp); /* 2^254 + ... + 2^0 */
for (i = 0; i < 31; i++)
felem_square_reduce(ftmp, ftmp); /* 2^285 + ... + 2^31 */
felem_mul_reduce(ftmp, ftmp6, ftmp); /* 2^285 + ... + 2^31 + 2^29 + ... + 2^0 */
for (i = 0; i < 2; i++)
felem_square_reduce(ftmp, ftmp); /* 2^287 + ... + 2^33 + 2^31 + ... + 2^2 */
felem_mul_reduce(ftmp, ftmp2, ftmp); /* 2^287 + ... + 2^33 + 2^31 + ... + 2^0 */
for (i = 0; i < 94; i++)
felem_square_reduce(ftmp, ftmp); /* 2^381 + ... + 2^127 + 2^125 + ... + 2^94 */
felem_mul_reduce(ftmp, ftmp6, ftmp); /* 2^381 + ... + 2^127 + 2^125 + ... + 2^94 + 2^29 + ... + 2^0 */
for (i = 0; i < 2; i++)
felem_square_reduce(ftmp, ftmp); /* 2^383 + ... + 2^129 + 2^127 + ... + 2^96 + 2^31 + ... + 2^2 */
felem_mul_reduce(ftmp, in, ftmp); /* 2^383 + ... + 2^129 + 2^127 + ... + 2^96 + 2^31 + ... + 2^2 + 2^0 */
memcpy(out, ftmp, sizeof(felem));
}
/*
* Zero-check: returns a limb with all bits set if |in| == 0 (mod p)
* and 0 otherwise. We know that field elements are reduced to
* 0 < in < 2p, so we only need to check two cases:
* 0 and 2^384 - 2^128 - 2^96 + 2^32 - 1
* in[k] < 2^56, k < 6
* in[6] <= 2^48
*/
static limb felem_is_zero(const felem in)
{
limb zero, p384;
zero = in[0] | in[1] | in[2] | in[3] | in[4] | in[5] | in[6];
zero = ((int64_t) (zero) - 1) >> 63;
p384 = (in[0] ^ 0x000000ffffffff) | (in[1] ^ 0xffff0000000000)
| (in[2] ^ 0xfffffffffeffff) | (in[3] ^ 0xffffffffffffff)
| (in[4] ^ 0xffffffffffffff) | (in[5] ^ 0xffffffffffffff)
| (in[6] ^ 0xffffffffffff);
p384 = ((int64_t) (p384) - 1) >> 63;
return (zero | p384);
}
static int felem_is_zero_int(const void *in)
{
return (int)(felem_is_zero(in) & ((limb) 1));
}
/*-
* felem_contract converts |in| to its unique, minimal representation.
* Assume we've removed all redundant bits.
* On entry:
* in[k] < 2^56, k < 6
* in[6] <= 2^48
*/
static void felem_contract(felem out, const felem in)
{
static const int64_t two56 = ((limb) 1) << 56;
/*
* We know for a fact that 0 <= |in| < 2*p, for p = 2^384 - 2^128 - 2^96 + 2^32 - 1
* Perform two successive, idempotent subtractions to reduce if |in| >= p.
*/
int64_t tmp[NLIMBS], cond[5], a;
unsigned int i;
memcpy(tmp, in, sizeof(felem));
/* Case 1: a = 1 iff |in| >= 2^384 */
a = (in[6] >> 48);
tmp[0] += a;
tmp[0] -= a << 32;
tmp[1] += a << 40;
tmp[2] += a << 16;
tmp[6] &= 0x0000ffffffffffff;
/*
* eliminate negative coefficients: if tmp[0] is negative, tmp[1] must be
* non-zero, so we only need one step
*/
a = tmp[0] >> 63;
tmp[0] += a & two56;
tmp[1] -= a & 1;
/* Carry 1 -> 2 -> 3 -> 4 -> 5 -> 6 */
tmp[2] += tmp[1] >> 56;
tmp[1] &= 0x00ffffffffffffff;
tmp[3] += tmp[2] >> 56;
tmp[2] &= 0x00ffffffffffffff;
tmp[4] += tmp[3] >> 56;
tmp[3] &= 0x00ffffffffffffff;
tmp[5] += tmp[4] >> 56;
tmp[4] &= 0x00ffffffffffffff;
tmp[6] += tmp[5] >> 56; /* tmp[6] < 2^48 */
tmp[5] &= 0x00ffffffffffffff;
/*
* Case 2: a = all ones if p <= |in| < 2^384, 0 otherwise
*/
/* 0 iff (2^129..2^383) are all one */
cond[0] = ((tmp[6] | 0xff000000000000) & tmp[5] & tmp[4] & tmp[3] & (tmp[2] | 0x0000000001ffff)) + 1;
/* 0 iff 2^128 bit is one */
cond[1] = (tmp[2] | ~0x00000000010000) + 1;
/* 0 iff (2^96..2^127) bits are all one */
cond[2] = ((tmp[2] | 0xffffffffff0000) & (tmp[1] | 0x0000ffffffffff)) + 1;
/* 0 iff (2^32..2^95) bits are all zero */
cond[3] = (tmp[1] & ~0xffff0000000000) | (tmp[0] & ~((int64_t) 0x000000ffffffff));
/* 0 iff (2^0..2^31) bits are all one */
cond[4] = (tmp[0] | 0xffffff00000000) + 1;
/*
* In effect, invert our conditions, so that 0 values become all 1's,
* any non-zero value in the low-order 56 bits becomes all 0's
*/
for (i = 0; i < 5; i++)
cond[i] = ((cond[i] & 0x00ffffffffffffff) - 1) >> 63;
/*
* The condition for determining whether in is greater than our
* prime is given by the following condition.
*/
/* First subtract 2^384 - 2^129 cheaply */
a = cond[0] & (cond[1] | (cond[2] & (~cond[3] | cond[4])));
tmp[6] &= ~a;
tmp[5] &= ~a;
tmp[4] &= ~a;
tmp[3] &= ~a;
tmp[2] &= ~a | 0x0000000001ffff;
/*
* Subtract 2^128 - 2^96 by
* means of disjoint cases.
*/
/* subtract 2^128 if that bit is present, and add 2^96 */
a = cond[0] & cond[1];
tmp[2] &= ~a | 0xfffffffffeffff;
tmp[1] += a & ((int64_t) 1 << 40);
/* otherwise, clear bits 2^127 .. 2^96 */
a = cond[0] & ~cond[1] & (cond[2] & (~cond[3] | cond[4]));
tmp[2] &= ~a | 0xffffffffff0000;
tmp[1] &= ~a | 0x0000ffffffffff;
/* finally, subtract the last 2^32 - 1 */
a = cond[0] & (cond[1] | (cond[2] & (~cond[3] | cond[4])));
tmp[0] += a & (-((int64_t) 1 << 32) + 1);
/*
* eliminate negative coefficients: if tmp[0] is negative, tmp[1] must be
* non-zero, so we only need one step
*/
a = tmp[0] >> 63;
tmp[0] += a & two56;
tmp[1] -= a & 1;
/* Carry 1 -> 2 -> 3 -> 4 -> 5 -> 6 */
tmp[2] += tmp[1] >> 56;
tmp[1] &= 0x00ffffffffffffff;
tmp[3] += tmp[2] >> 56;
tmp[2] &= 0x00ffffffffffffff;
tmp[4] += tmp[3] >> 56;
tmp[3] &= 0x00ffffffffffffff;
tmp[5] += tmp[4] >> 56;
tmp[4] &= 0x00ffffffffffffff;
tmp[6] += tmp[5] >> 56;
tmp[5] &= 0x00ffffffffffffff;
memcpy(out, tmp, sizeof(felem));
}
/*-
* Group operations
* ----------------
*
* Building on top of the field operations we have the operations on the
* elliptic curve group itself. Points on the curve are represented in Jacobian
* coordinates
*/
/*-
* point_double calculates 2*(x_in, y_in, z_in)
*
* The method is taken from:
* http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#doubling-dbl-2001-b
*
* Outputs can equal corresponding inputs, i.e., x_out == x_in is allowed.
* while x_out == y_in is not (maybe this works, but it's not tested).
*/
static void
point_double(felem x_out, felem y_out, felem z_out,
const felem x_in, const felem y_in, const felem z_in)
{
widefelem tmp, tmp2;
felem delta, gamma, beta, alpha, ftmp, ftmp2;
felem_assign(ftmp, x_in);
felem_assign(ftmp2, x_in);
/* delta = z^2 */
felem_square_reduce(delta, z_in); /* delta[i] < 2^56 */
/* gamma = y^2 */
felem_square_reduce(gamma, y_in); /* gamma[i] < 2^56 */
/* beta = x*gamma */
felem_mul_reduce(beta, x_in, gamma); /* beta[i] < 2^56 */
/* alpha = 3*(x-delta)*(x+delta) */
felem_diff64(ftmp, delta); /* ftmp[i] < 2^60 + 2^58 + 2^44 */
felem_sum64(ftmp2, delta); /* ftmp2[i] < 2^59 */
felem_scalar64(ftmp2, 3); /* ftmp2[i] < 2^61 */
felem_mul_reduce(alpha, ftmp, ftmp2); /* alpha[i] < 2^56 */
/* x' = alpha^2 - 8*beta */
felem_square(tmp, alpha); /* tmp[i] < 2^115 */
felem_assign(ftmp, beta); /* ftmp[i] < 2^56 */
felem_scalar64(ftmp, 8); /* ftmp[i] < 2^59 */
felem_diff_128_64(tmp, ftmp); /* tmp[i] < 2^115 + 2^64 + 2^48 */
felem_reduce(x_out, tmp); /* x_out[i] < 2^56 */
/* z' = (y + z)^2 - gamma - delta */
felem_sum64(delta, gamma); /* delta[i] < 2^57 */
felem_assign(ftmp, y_in); /* ftmp[i] < 2^56 */
felem_sum64(ftmp, z_in); /* ftmp[i] < 2^56 */
felem_square(tmp, ftmp); /* tmp[i] < 2^115 */
felem_diff_128_64(tmp, delta); /* tmp[i] < 2^115 + 2^64 + 2^48 */
felem_reduce(z_out, tmp); /* z_out[i] < 2^56 */
/* y' = alpha*(4*beta - x') - 8*gamma^2 */
felem_scalar64(beta, 4); /* beta[i] < 2^58 */
felem_diff64(beta, x_out); /* beta[i] < 2^60 + 2^58 + 2^44 */
felem_mul(tmp, alpha, beta); /* tmp[i] < 2^119 */
felem_square(tmp2, gamma); /* tmp2[i] < 2^115 */
felem_scalar128(tmp2, 8); /* tmp2[i] < 2^118 */
felem_diff128(tmp, tmp2); /* tmp[i] < 2^127 + 2^119 + 2^111 */
felem_reduce(y_out, tmp); /* tmp[i] < 2^56 */
}
/* copy_conditional copies in to out iff mask is all ones. */
static void copy_conditional(felem out, const felem in, limb mask)
{
unsigned int i;
for (i = 0; i < NLIMBS; i++)
out[i] ^= mask & (in[i] ^ out[i]);
}
/*-
* point_add calculates (x1, y1, z1) + (x2, y2, z2)
*
* The method is taken from
* http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#addition-add-2007-bl,
* adapted for mixed addition (z2 = 1, or z2 = 0 for the point at infinity).
*
* This function includes a branch for checking whether the two input points
* are equal (while not equal to the point at infinity). See comment below
* on constant-time.
*/
static void point_add(felem x3, felem y3, felem z3,
const felem x1, const felem y1, const felem z1,
const int mixed, const felem x2, const felem y2,
const felem z2)
{
felem ftmp, ftmp2, ftmp3, ftmp4, ftmp5, ftmp6, x_out, y_out, z_out;
widefelem tmp, tmp2;
limb x_equal, y_equal, z1_is_zero, z2_is_zero;
limb points_equal;
z1_is_zero = felem_is_zero(z1);
z2_is_zero = felem_is_zero(z2);
/* ftmp = z1z1 = z1**2 */
felem_square_reduce(ftmp, z1); /* ftmp[i] < 2^56 */
if (!mixed) {
/* ftmp2 = z2z2 = z2**2 */
felem_square_reduce(ftmp2, z2); /* ftmp2[i] < 2^56 */
/* u1 = ftmp3 = x1*z2z2 */
felem_mul_reduce(ftmp3, x1, ftmp2); /* ftmp3[i] < 2^56 */
/* ftmp5 = z1 + z2 */
felem_assign(ftmp5, z1); /* ftmp5[i] < 2^56 */
felem_sum64(ftmp5, z2); /* ftmp5[i] < 2^57 */
/* ftmp5 = (z1 + z2)**2 - z1z1 - z2z2 = 2*z1z2 */
felem_square(tmp, ftmp5); /* tmp[i] < 2^117 */
felem_diff_128_64(tmp, ftmp); /* tmp[i] < 2^117 + 2^64 + 2^48 */
felem_diff_128_64(tmp, ftmp2); /* tmp[i] < 2^117 + 2^65 + 2^49 */
felem_reduce(ftmp5, tmp); /* ftmp5[i] < 2^56 */
/* ftmp2 = z2 * z2z2 */
felem_mul_reduce(ftmp2, ftmp2, z2); /* ftmp2[i] < 2^56 */
/* s1 = ftmp6 = y1 * z2**3 */
felem_mul_reduce(ftmp6, y1, ftmp2); /* ftmp6[i] < 2^56 */
} else {
/*
* We'll assume z2 = 1 (special case z2 = 0 is handled later)
*/
/* u1 = ftmp3 = x1*z2z2 */
felem_assign(ftmp3, x1); /* ftmp3[i] < 2^56 */
/* ftmp5 = 2*z1z2 */
felem_scalar(ftmp5, z1, 2); /* ftmp5[i] < 2^57 */
/* s1 = ftmp6 = y1 * z2**3 */
felem_assign(ftmp6, y1); /* ftmp6[i] < 2^56 */
}
/* ftmp3[i] < 2^56, ftmp5[i] < 2^57, ftmp6[i] < 2^56 */
/* u2 = x2*z1z1 */
felem_mul(tmp, x2, ftmp); /* tmp[i] < 2^115 */
/* h = ftmp4 = u2 - u1 */
felem_diff_128_64(tmp, ftmp3); /* tmp[i] < 2^115 + 2^64 + 2^48 */
felem_reduce(ftmp4, tmp); /* ftmp[4] < 2^56 */
x_equal = felem_is_zero(ftmp4);
/* z_out = ftmp5 * h */
felem_mul_reduce(z_out, ftmp5, ftmp4); /* z_out[i] < 2^56 */
/* ftmp = z1 * z1z1 */
felem_mul_reduce(ftmp, ftmp, z1); /* ftmp[i] < 2^56 */
/* s2 = tmp = y2 * z1**3 */
felem_mul(tmp, y2, ftmp); /* tmp[i] < 2^115 */
/* r = ftmp5 = (s2 - s1)*2 */
felem_diff_128_64(tmp, ftmp6); /* tmp[i] < 2^115 + 2^64 + 2^48 */
felem_reduce(ftmp5, tmp); /* ftmp5[i] < 2^56 */
y_equal = felem_is_zero(ftmp5);
felem_scalar64(ftmp5, 2); /* ftmp5[i] < 2^57 */
/*
* The formulae are incorrect if the points are equal, in affine coordinates
* (X_1, Y_1) == (X_2, Y_2), so we check for this and do doubling if this
* happens.
*
* We use bitwise operations to avoid potential side-channels introduced by
* the short-circuiting behaviour of boolean operators.
*
* The special case of either point being the point at infinity (z1 and/or
* z2 are zero), is handled separately later on in this function, so we
* avoid jumping to point_double here in those special cases.
*
* Notice the comment below on the implications of this branching for timing
* leaks and why it is considered practically irrelevant.
*/
points_equal = (x_equal & y_equal & (~z1_is_zero) & (~z2_is_zero));
if (points_equal) {
/*
* This is obviously not constant-time but it will almost-never happen
* for ECDH / ECDSA.
*/
point_double(x3, y3, z3, x1, y1, z1);
return;
}
/* I = ftmp = (2h)**2 */
felem_assign(ftmp, ftmp4); /* ftmp[i] < 2^56 */
felem_scalar64(ftmp, 2); /* ftmp[i] < 2^57 */
felem_square_reduce(ftmp, ftmp); /* ftmp[i] < 2^56 */
/* J = ftmp2 = h * I */
felem_mul_reduce(ftmp2, ftmp4, ftmp); /* ftmp2[i] < 2^56 */
/* V = ftmp4 = U1 * I */
felem_mul_reduce(ftmp4, ftmp3, ftmp); /* ftmp4[i] < 2^56 */
/* x_out = r**2 - J - 2V */
felem_square(tmp, ftmp5); /* tmp[i] < 2^117 */
felem_diff_128_64(tmp, ftmp2); /* tmp[i] < 2^117 + 2^64 + 2^48 */
felem_assign(ftmp3, ftmp4); /* ftmp3[i] < 2^56 */
felem_scalar64(ftmp4, 2); /* ftmp4[i] < 2^57 */
felem_diff_128_64(tmp, ftmp4); /* tmp[i] < 2^117 + 2^65 + 2^49 */
felem_reduce(x_out, tmp); /* x_out[i] < 2^56 */
/* y_out = r(V-x_out) - 2 * s1 * J */
felem_diff64(ftmp3, x_out); /* ftmp3[i] < 2^60 + 2^56 + 2^44 */
felem_mul(tmp, ftmp5, ftmp3); /* tmp[i] < 2^116 */
felem_mul(tmp2, ftmp6, ftmp2); /* tmp2[i] < 2^115 */
felem_scalar128(tmp2, 2); /* tmp2[i] < 2^116 */
felem_diff128(tmp, tmp2); /* tmp[i] < 2^127 + 2^116 + 2^111 */
felem_reduce(y_out, tmp); /* y_out[i] < 2^56 */
copy_conditional(x_out, x2, z1_is_zero);
copy_conditional(x_out, x1, z2_is_zero);
copy_conditional(y_out, y2, z1_is_zero);
copy_conditional(y_out, y1, z2_is_zero);
copy_conditional(z_out, z2, z1_is_zero);
copy_conditional(z_out, z1, z2_is_zero);
felem_assign(x3, x_out);
felem_assign(y3, y_out);
felem_assign(z3, z_out);
}
/*-
* Base point pre computation
* --------------------------
*
* Two different sorts of precomputed tables are used in the following code.
* Each contain various points on the curve, where each point is three field
* elements (x, y, z).
*
* For the base point table, z is usually 1 (0 for the point at infinity).
* This table has 16 elements:
* index | bits | point
* ------+---------+------------------------------
* 0 | 0 0 0 0 | 0G
* 1 | 0 0 0 1 | 1G
* 2 | 0 0 1 0 | 2^95G
* 3 | 0 0 1 1 | (2^95 + 1)G
* 4 | 0 1 0 0 | 2^190G
* 5 | 0 1 0 1 | (2^190 + 1)G
* 6 | 0 1 1 0 | (2^190 + 2^95)G
* 7 | 0 1 1 1 | (2^190 + 2^95 + 1)G
* 8 | 1 0 0 0 | 2^285G
* 9 | 1 0 0 1 | (2^285 + 1)G
* 10 | 1 0 1 0 | (2^285 + 2^95)G
* 11 | 1 0 1 1 | (2^285 + 2^95 + 1)G
* 12 | 1 1 0 0 | (2^285 + 2^190)G
* 13 | 1 1 0 1 | (2^285 + 2^190 + 1)G
* 14 | 1 1 1 0 | (2^285 + 2^190 + 2^95)G
* 15 | 1 1 1 1 | (2^285 + 2^190 + 2^95 + 1)G
*
* The reason for this is so that we can clock bits into four different
* locations when doing simple scalar multiplies against the base point.
*
* Tables for other points have table[i] = iG for i in 0 .. 16.
*/
/* gmul is the table of precomputed base points */
static const felem gmul[16][3] = {
{{0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0}},
{{0x00545e3872760ab7, 0x00f25dbf55296c3a, 0x00e082542a385502, 0x008ba79b9859f741,
0x0020ad746e1d3b62, 0x0005378eb1c71ef3, 0x0000aa87ca22be8b},
{0x00431d7c90ea0e5f, 0x00b1ce1d7e819d7a, 0x0013b5f0b8c00a60, 0x00289a147ce9da31,
0x0092dc29f8f41dbd, 0x002c6f5d9e98bf92, 0x00003617de4a9626},
{1, 0, 0, 0, 0, 0, 0}},
{{0x00024711cc902a90, 0x00acb2e579ab4fe1, 0x00af818a4b4d57b1, 0x00a17c7bec49c3de,
0x004280482d726a8b, 0x00128dd0f0a90f3b, 0x00004387c1c3fa3c},
{0x002ce76543cf5c3a, 0x00de6cee5ef58f0a, 0x00403e42fa561ca6, 0x00bc54d6f9cb9731,
0x007155f925fb4ff1, 0x004a9ce731b7b9bc, 0x00002609076bd7b2},
{1, 0, 0, 0, 0, 0, 0}},
{{0x00e74c9182f0251d, 0x0039bf54bb111974, 0x00b9d2f2eec511d2, 0x0036b1594eb3a6a4,
0x00ac3bb82d9d564b, 0x00f9313f4615a100, 0x00006716a9a91b10},
{0x0046698116e2f15c, 0x00f34347067d3d33, 0x008de4ccfdebd002, 0x00e838c6b8e8c97b,
0x006faf0798def346, 0x007349794a57563c, 0x00002629e7e6ad84},
{1, 0, 0, 0, 0, 0, 0}},
{{0x0075300e34fd163b, 0x0092e9db4e8d0ad3, 0x00254be9f625f760, 0x00512c518c72ae68,
0x009bfcf162bede5a, 0x00bf9341566ce311, 0x0000cd6175bd41cf},
{0x007dfe52af4ac70f, 0x0002159d2d5c4880, 0x00b504d16f0af8d0, 0x0014585e11f5e64c,
0x0089c6388e030967, 0x00ffb270cbfa5f71, 0x00009a15d92c3947},
{1, 0, 0, 0, 0, 0, 0}},
{{0x0033fc1278dc4fe5, 0x00d53088c2caa043, 0x0085558827e2db66, 0x00c192bef387b736,
0x00df6405a2225f2c, 0x0075205aa90fd91a, 0x0000137e3f12349d},
{0x00ce5b115efcb07e, 0x00abc3308410deeb, 0x005dc6fc1de39904, 0x00907c1c496f36b4,
0x0008e6ad3926cbe1, 0x00110747b787928c, 0x0000021b9162eb7e},
{1, 0, 0, 0, 0, 0, 0}},
{{0x008180042cfa26e1, 0x007b826a96254967, 0x0082473694d6b194, 0x007bd6880a45b589,
0x00c0a5097072d1a3, 0x0019186555e18b4e, 0x000020278190e5ca},
{0x00b4bef17de61ac0, 0x009535e3c38ed348, 0x002d4aa8e468ceab, 0x00ef40b431036ad3,
0x00defd52f4542857, 0x0086edbf98234266, 0x00002025b3a7814d},
{1, 0, 0, 0, 0, 0, 0}},
{{0x00b238aa97b886be, 0x00ef3192d6dd3a32, 0x0079f9e01fd62df8, 0x00742e890daba6c5,
0x008e5289144408ce, 0x0073bbcc8e0171a5, 0x0000c4fd329d3b52},
{0x00c6f64a15ee23e7, 0x00dcfb7b171cad8b, 0x00039f6cbd805867, 0x00de024e428d4562,
0x00be6a594d7c64c5, 0x0078467b70dbcd64, 0x0000251f2ed7079b},
{1, 0, 0, 0, 0, 0, 0}},
{{0x000e5cc25fc4b872, 0x005ebf10d31ef4e1, 0x0061e0ebd11e8256, 0x0076e026096f5a27,
0x0013e6fc44662e9a, 0x0042b00289d3597e, 0x000024f089170d88},
{0x001604d7e0effbe6, 0x0048d77cba64ec2c, 0x008166b16da19e36, 0x006b0d1a0f28c088,
0x000259fcd47754fd, 0x00cc643e4d725f9a, 0x00007b10f3c79c14},
{1, 0, 0, 0, 0, 0, 0}},
{{0x00430155e3b908af, 0x00b801e4fec25226, 0x00b0d4bcfe806d26, 0x009fc4014eb13d37,
0x0066c94e44ec07e8, 0x00d16adc03874ba2, 0x000030c917a0d2a7},
{0x00edac9e21eb891c, 0x00ef0fb768102eff, 0x00c088cef272a5f3, 0x00cbf782134e2964,
0x0001044a7ba9a0e3, 0x00e363f5b194cf3c, 0x00009ce85249e372},
{1, 0, 0, 0, 0, 0, 0}},
{{0x001dd492dda5a7eb, 0x008fd577be539fd1, 0x002ff4b25a5fc3f1, 0x0074a8a1b64df72f,
0x002ba3d8c204a76c, 0x009d5cff95c8235a, 0x0000e014b9406e0f},
{0x008c2e4dbfc98aba, 0x00f30bb89f1a1436, 0x00b46f7aea3e259c, 0x009224454ac02f54,
0x00906401f5645fa2, 0x003a1d1940eabc77, 0x00007c9351d680e6},
{1, 0, 0, 0, 0, 0, 0}},
{{0x005a35d872ef967c, 0x0049f1b7884e1987, 0x0059d46d7e31f552, 0x00ceb4869d2d0fb6,
0x00e8e89eee56802a, 0x0049d806a774aaf2, 0x0000147e2af0ae24},
{0x005fd1bd852c6e5e, 0x00b674b7b3de6885, 0x003b9ea5eb9b6c08, 0x005c9f03babf3ef7,
0x00605337fecab3c7, 0x009a3f85b11bbcc8, 0x0000455470f330ec},
{1, 0, 0, 0, 0, 0, 0}},
{{0x002197ff4d55498d, 0x00383e8916c2d8af, 0x00eb203f34d1c6d2, 0x0080367cbd11b542,
0x00769b3be864e4f5, 0x0081a8458521c7bb, 0x0000c531b34d3539},
{0x00e2a3d775fa2e13, 0x00534fc379573844, 0x00ff237d2a8db54a, 0x00d301b2335a8882,
0x000f75ea96103a80, 0x0018fecb3cdd96fa, 0x0000304bf61e94eb},
{1, 0, 0, 0, 0, 0, 0}},
{{0x00b2afc332a73dbd, 0x0029a0d5bb007bc5, 0x002d628eb210f577, 0x009f59a36dd05f50,
0x006d339de4eca613, 0x00c75a71addc86bc, 0x000060384c5ea93c},
{0x00aa9641c32a30b4, 0x00cc73ae8cce565d, 0x00ec911a4df07f61, 0x00aa4b762ea4b264,
0x0096d395bb393629, 0x004efacfb7632fe0, 0x00006f252f46fa3f},
{1, 0, 0, 0, 0, 0, 0}},
{{0x00567eec597c7af6, 0x0059ba6795204413, 0x00816d4e6f01196f, 0x004ae6b3eb57951d,
0x00420f5abdda2108, 0x003401d1f57ca9d9, 0x0000cf5837b0b67a},
{0x00eaa64b8aeeabf9, 0x00246ddf16bcb4de, 0x000e7e3c3aecd751, 0x0008449f04fed72e,
0x00307b67ccf09183, 0x0017108c3556b7b1, 0x0000229b2483b3bf},
{1, 0, 0, 0, 0, 0, 0}},
{{0x00e7c491a7bb78a1, 0x00eafddd1d3049ab, 0x00352c05e2bc7c98, 0x003d6880c165fa5c,
0x00b6ac61cc11c97d, 0x00beeb54fcf90ce5, 0x0000dc1f0b455edc},
{0x002db2e7aee34d60, 0x0073b5f415a2d8c0, 0x00dd84e4193e9a0c, 0x00d02d873467c572,
0x0018baaeda60aee5, 0x0013fb11d697c61e, 0x000083aafcc3a973},
{1, 0, 0, 0, 0, 0, 0}}
};
/*
* select_point selects the |idx|th point from a precomputation table and
* copies it to out.
*
* pre_comp below is of the size provided in |size|.
*/
static void select_point(const limb idx, unsigned int size,
const felem pre_comp[][3], felem out[3])
{
unsigned int i, j;
limb *outlimbs = &out[0][0];
memset(out, 0, sizeof(*out) * 3);
for (i = 0; i < size; i++) {
const limb *inlimbs = &pre_comp[i][0][0];
limb mask = i ^ idx;
mask |= mask >> 4;
mask |= mask >> 2;
mask |= mask >> 1;
mask &= 1;
mask--;
for (j = 0; j < NLIMBS * 3; j++)
outlimbs[j] |= inlimbs[j] & mask;
}
}
/* get_bit returns the |i|th bit in |in| */
static char get_bit(const felem_bytearray in, int i)
{
if (i < 0 || i >= 384)
return 0;
return (in[i >> 3] >> (i & 7)) & 1;
}
/*
* Interleaved point multiplication using precomputed point multiples: The
* small point multiples 0*P, 1*P, ..., 16*P are in pre_comp[], the scalars
* in scalars[]. If g_scalar is non-NULL, we also add this multiple of the
* generator, using certain (large) precomputed multiples in g_pre_comp.
* Output point (X, Y, Z) is stored in x_out, y_out, z_out
*/
static void batch_mul(felem x_out, felem y_out, felem z_out,
const felem_bytearray scalars[],
const unsigned int num_points, const u8 *g_scalar,
const int mixed, const felem pre_comp[][17][3],
const felem g_pre_comp[16][3])
{
int i, skip;
unsigned int num, gen_mul = (g_scalar != NULL);
felem nq[3], tmp[4];
limb bits;
u8 sign, digit;
/* set nq to the point at infinity */
memset(nq, 0, sizeof(nq));
/*
* Loop over all scalars msb-to-lsb, interleaving additions of multiples
* of the generator (last quarter of rounds) and additions of other
* points multiples (every 5th round).
*/
skip = 1; /* save two point operations in the first
* round */
for (i = (num_points ? 380 : 98); i >= 0; --i) {
/* double */
if (!skip)
point_double(nq[0], nq[1], nq[2], nq[0], nq[1], nq[2]);
/* add multiples of the generator */
if (gen_mul && (i <= 98)) {
bits = get_bit(g_scalar, i + 285) << 3;
if (i < 95) {
bits |= get_bit(g_scalar, i + 190) << 2;
bits |= get_bit(g_scalar, i + 95) << 1;
bits |= get_bit(g_scalar, i);
}
/* select the point to add, in constant time */
select_point(bits, 16, g_pre_comp, tmp);
if (!skip) {
/* The 1 argument below is for "mixed" */
point_add(nq[0], nq[1], nq[2],
nq[0], nq[1], nq[2], 1,
tmp[0], tmp[1], tmp[2]);
} else {
memcpy(nq, tmp, 3 * sizeof(felem));
skip = 0;
}
}
/* do other additions every 5 doublings */
if (num_points && (i % 5 == 0)) {
/* loop over all scalars */
for (num = 0; num < num_points; ++num) {
bits = get_bit(scalars[num], i + 4) << 5;
bits |= get_bit(scalars[num], i + 3) << 4;
bits |= get_bit(scalars[num], i + 2) << 3;
bits |= get_bit(scalars[num], i + 1) << 2;
bits |= get_bit(scalars[num], i) << 1;
bits |= get_bit(scalars[num], i - 1);
ossl_ec_GFp_nistp_recode_scalar_bits(&sign, &digit, bits);
/*
* select the point to add or subtract, in constant time
*/
select_point(digit, 17, pre_comp[num], tmp);
felem_neg(tmp[3], tmp[1]); /* (X, -Y, Z) is the negative
* point */
copy_conditional(tmp[1], tmp[3], (-(limb) sign));
if (!skip) {
point_add(nq[0], nq[1], nq[2],
nq[0], nq[1], nq[2], mixed,
tmp[0], tmp[1], tmp[2]);
} else {
memcpy(nq, tmp, 3 * sizeof(felem));
skip = 0;
}
}
}
}
felem_assign(x_out, nq[0]);
felem_assign(y_out, nq[1]);
felem_assign(z_out, nq[2]);
}
/* Precomputation for the group generator. */
struct nistp384_pre_comp_st {
felem g_pre_comp[16][3];
CRYPTO_REF_COUNT references;
};
const EC_METHOD *ossl_ec_GFp_nistp384_method(void)
{
static const EC_METHOD ret = {
EC_FLAGS_DEFAULT_OCT,
NID_X9_62_prime_field,
ossl_ec_GFp_nistp384_group_init,
ossl_ec_GFp_simple_group_finish,
ossl_ec_GFp_simple_group_clear_finish,
ossl_ec_GFp_nist_group_copy,
ossl_ec_GFp_nistp384_group_set_curve,
ossl_ec_GFp_simple_group_get_curve,
ossl_ec_GFp_simple_group_get_degree,
ossl_ec_group_simple_order_bits,
ossl_ec_GFp_simple_group_check_discriminant,
ossl_ec_GFp_simple_point_init,
ossl_ec_GFp_simple_point_finish,
ossl_ec_GFp_simple_point_clear_finish,
ossl_ec_GFp_simple_point_copy,
ossl_ec_GFp_simple_point_set_to_infinity,
ossl_ec_GFp_simple_point_set_affine_coordinates,
ossl_ec_GFp_nistp384_point_get_affine_coordinates,
0, /* point_set_compressed_coordinates */
0, /* point2oct */
0, /* oct2point */
ossl_ec_GFp_simple_add,
ossl_ec_GFp_simple_dbl,
ossl_ec_GFp_simple_invert,
ossl_ec_GFp_simple_is_at_infinity,
ossl_ec_GFp_simple_is_on_curve,
ossl_ec_GFp_simple_cmp,
ossl_ec_GFp_simple_make_affine,
ossl_ec_GFp_simple_points_make_affine,
ossl_ec_GFp_nistp384_points_mul,
ossl_ec_GFp_nistp384_precompute_mult,
ossl_ec_GFp_nistp384_have_precompute_mult,
ossl_ec_GFp_nist_field_mul,
ossl_ec_GFp_nist_field_sqr,
0, /* field_div */
ossl_ec_GFp_simple_field_inv,
0, /* field_encode */
0, /* field_decode */
0, /* field_set_to_one */
ossl_ec_key_simple_priv2oct,
ossl_ec_key_simple_oct2priv,
0, /* set private */
ossl_ec_key_simple_generate_key,
ossl_ec_key_simple_check_key,
ossl_ec_key_simple_generate_public_key,
0, /* keycopy */
0, /* keyfinish */
ossl_ecdh_simple_compute_key,
ossl_ecdsa_simple_sign_setup,
ossl_ecdsa_simple_sign_sig,
ossl_ecdsa_simple_verify_sig,
0, /* field_inverse_mod_ord */
0, /* blind_coordinates */
0, /* ladder_pre */
0, /* ladder_step */
0 /* ladder_post */
};
return &ret;
}
/******************************************************************************/
/*
* FUNCTIONS TO MANAGE PRECOMPUTATION
*/
static NISTP384_PRE_COMP *nistp384_pre_comp_new(void)
{
NISTP384_PRE_COMP *ret = OPENSSL_zalloc(sizeof(*ret));
if (ret == NULL)
return ret;
if (!CRYPTO_NEW_REF(&ret->references, 1)) {
OPENSSL_free(ret);
return NULL;
}
return ret;
}
NISTP384_PRE_COMP *ossl_ec_nistp384_pre_comp_dup(NISTP384_PRE_COMP *p)
{
int i;
if (p != NULL)
CRYPTO_UP_REF(&p->references, &i);
return p;
}
void ossl_ec_nistp384_pre_comp_free(NISTP384_PRE_COMP *p)
{
int i;
if (p == NULL)
return;
CRYPTO_DOWN_REF(&p->references, &i);
REF_PRINT_COUNT("ossl_ec_nistp384", p);
if (i > 0)
return;
REF_ASSERT_ISNT(i < 0);
CRYPTO_FREE_REF(&p->references);
OPENSSL_free(p);
}
/******************************************************************************/
/*
* OPENSSL EC_METHOD FUNCTIONS
*/
int ossl_ec_GFp_nistp384_group_init(EC_GROUP *group)
{
int ret;
ret = ossl_ec_GFp_simple_group_init(group);
group->a_is_minus3 = 1;
return ret;
}
int ossl_ec_GFp_nistp384_group_set_curve(EC_GROUP *group, const BIGNUM *p,
const BIGNUM *a, const BIGNUM *b,
BN_CTX *ctx)
{
int ret = 0;
BIGNUM *curve_p, *curve_a, *curve_b;
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
if (ctx == NULL)
ctx = new_ctx = BN_CTX_new();
#endif
if (ctx == NULL)
return 0;
BN_CTX_start(ctx);
curve_p = BN_CTX_get(ctx);
curve_a = BN_CTX_get(ctx);
curve_b = BN_CTX_get(ctx);
if (curve_b == NULL)
goto err;
BN_bin2bn(nistp384_curve_params[0], sizeof(felem_bytearray), curve_p);
BN_bin2bn(nistp384_curve_params[1], sizeof(felem_bytearray), curve_a);
BN_bin2bn(nistp384_curve_params[2], sizeof(felem_bytearray), curve_b);
if ((BN_cmp(curve_p, p)) || (BN_cmp(curve_a, a)) || (BN_cmp(curve_b, b))) {
ERR_raise(ERR_LIB_EC, EC_R_WRONG_CURVE_PARAMETERS);
goto err;
}
group->field_mod_func = BN_nist_mod_384;
ret = ossl_ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
err:
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
return ret;
}
/*
* Takes the Jacobian coordinates (X, Y, Z) of a point and returns (X', Y') =
* (X/Z^2, Y/Z^3)
*/
int ossl_ec_GFp_nistp384_point_get_affine_coordinates(const EC_GROUP *group,
const EC_POINT *point,
BIGNUM *x, BIGNUM *y,
BN_CTX *ctx)
{
felem z1, z2, x_in, y_in, x_out, y_out;
widefelem tmp;
if (EC_POINT_is_at_infinity(group, point)) {
ERR_raise(ERR_LIB_EC, EC_R_POINT_AT_INFINITY);
return 0;
}
if ((!BN_to_felem(x_in, point->X)) || (!BN_to_felem(y_in, point->Y)) ||
(!BN_to_felem(z1, point->Z)))
return 0;
felem_inv(z2, z1);
felem_square(tmp, z2);
felem_reduce(z1, tmp);
felem_mul(tmp, x_in, z1);
felem_reduce(x_in, tmp);
felem_contract(x_out, x_in);
if (x != NULL) {
if (!felem_to_BN(x, x_out)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return 0;
}
}
felem_mul(tmp, z1, z2);
felem_reduce(z1, tmp);
felem_mul(tmp, y_in, z1);
felem_reduce(y_in, tmp);
felem_contract(y_out, y_in);
if (y != NULL) {
if (!felem_to_BN(y, y_out)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return 0;
}
}
return 1;
}
/* points below is of size |num|, and tmp_felems is of size |num+1/ */
static void make_points_affine(size_t num, felem points[][3],
felem tmp_felems[])
{
/*
* Runs in constant time, unless an input is the point at infinity (which
* normally shouldn't happen).
*/
ossl_ec_GFp_nistp_points_make_affine_internal(num,
points,
sizeof(felem),
tmp_felems,
(void (*)(void *))felem_one,
felem_is_zero_int,
(void (*)(void *, const void *))
felem_assign,
(void (*)(void *, const void *))
felem_square_reduce,
(void (*)(void *, const void *, const void*))
felem_mul_reduce,
(void (*)(void *, const void *))
felem_inv,
(void (*)(void *, const void *))
felem_contract);
}
/*
* Computes scalar*generator + \sum scalars[i]*points[i], ignoring NULL
* values Result is stored in r (r can equal one of the inputs).
*/
int ossl_ec_GFp_nistp384_points_mul(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar, size_t num,
const EC_POINT *points[],
const BIGNUM *scalars[], BN_CTX *ctx)
{
int ret = 0;
int j;
int mixed = 0;
BIGNUM *x, *y, *z, *tmp_scalar;
felem_bytearray g_secret;
felem_bytearray *secrets = NULL;
felem (*pre_comp)[17][3] = NULL;
felem *tmp_felems = NULL;
unsigned int i;
int num_bytes;
int have_pre_comp = 0;
size_t num_points = num;
felem x_in, y_in, z_in, x_out, y_out, z_out;
NISTP384_PRE_COMP *pre = NULL;
felem(*g_pre_comp)[3] = NULL;
EC_POINT *generator = NULL;
const EC_POINT *p = NULL;
const BIGNUM *p_scalar = NULL;
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
z = BN_CTX_get(ctx);
tmp_scalar = BN_CTX_get(ctx);
if (tmp_scalar == NULL)
goto err;
if (scalar != NULL) {
pre = group->pre_comp.nistp384;
if (pre)
/* we have precomputation, try to use it */
g_pre_comp = &pre->g_pre_comp[0];
else
/* try to use the standard precomputation */
g_pre_comp = (felem(*)[3]) gmul;
generator = EC_POINT_new(group);
if (generator == NULL)
goto err;
/* get the generator from precomputation */
if (!felem_to_BN(x, g_pre_comp[1][0]) ||
!felem_to_BN(y, g_pre_comp[1][1]) ||
!felem_to_BN(z, g_pre_comp[1][2])) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if (!ossl_ec_GFp_simple_set_Jprojective_coordinates_GFp(group,
generator,
x, y, z, ctx))
goto err;
if (0 == EC_POINT_cmp(group, generator, group->generator, ctx))
/* precomputation matches generator */
have_pre_comp = 1;
else
/*
* we don't have valid precomputation: treat the generator as a
* random point
*/
num_points++;
}
if (num_points > 0) {
if (num_points >= 2) {
/*
* unless we precompute multiples for just one point, converting
* those into affine form is time well spent
*/
mixed = 1;
}
secrets = OPENSSL_zalloc(sizeof(*secrets) * num_points);
pre_comp = OPENSSL_zalloc(sizeof(*pre_comp) * num_points);
if (mixed)
tmp_felems =
OPENSSL_malloc(sizeof(*tmp_felems) * (num_points * 17 + 1));
if ((secrets == NULL) || (pre_comp == NULL)
|| (mixed && (tmp_felems == NULL)))
goto err;
/*
* we treat NULL scalars as 0, and NULL points as points at infinity,
* i.e., they contribute nothing to the linear combination
*/
for (i = 0; i < num_points; ++i) {
if (i == num) {
/*
* we didn't have a valid precomputation, so we pick the
* generator
*/
p = EC_GROUP_get0_generator(group);
p_scalar = scalar;
} else {
/* the i^th point */
p = points[i];
p_scalar = scalars[i];
}
if (p_scalar != NULL && p != NULL) {
/* reduce scalar to 0 <= scalar < 2^384 */
if ((BN_num_bits(p_scalar) > 384)
|| (BN_is_negative(p_scalar))) {
/*
* this is an unusual input, and we don't guarantee
* constant-timeness
*/
if (!BN_nnmod(tmp_scalar, p_scalar, group->order, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
num_bytes = BN_bn2lebinpad(tmp_scalar,
secrets[i], sizeof(secrets[i]));
} else {
num_bytes = BN_bn2lebinpad(p_scalar,
secrets[i], sizeof(secrets[i]));
}
if (num_bytes < 0) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* precompute multiples */
if ((!BN_to_felem(x_out, p->X)) ||
(!BN_to_felem(y_out, p->Y)) ||
(!BN_to_felem(z_out, p->Z)))
goto err;
memcpy(pre_comp[i][1][0], x_out, sizeof(felem));
memcpy(pre_comp[i][1][1], y_out, sizeof(felem));
memcpy(pre_comp[i][1][2], z_out, sizeof(felem));
for (j = 2; j <= 16; ++j) {
if (j & 1) {
point_add(pre_comp[i][j][0], pre_comp[i][j][1], pre_comp[i][j][2],
pre_comp[i][1][0], pre_comp[i][1][1], pre_comp[i][1][2], 0,
pre_comp[i][j - 1][0], pre_comp[i][j - 1][1], pre_comp[i][j - 1][2]);
} else {
point_double(pre_comp[i][j][0], pre_comp[i][j][1], pre_comp[i][j][2],
pre_comp[i][j / 2][0], pre_comp[i][j / 2][1], pre_comp[i][j / 2][2]);
}
}
}
}
if (mixed)
make_points_affine(num_points * 17, pre_comp[0], tmp_felems);
}
/* the scalar for the generator */
if (scalar != NULL && have_pre_comp) {
memset(g_secret, 0, sizeof(g_secret));
/* reduce scalar to 0 <= scalar < 2^384 */
if ((BN_num_bits(scalar) > 384) || (BN_is_negative(scalar))) {
/*
* this is an unusual input, and we don't guarantee
* constant-timeness
*/
if (!BN_nnmod(tmp_scalar, scalar, group->order, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
num_bytes = BN_bn2lebinpad(tmp_scalar, g_secret, sizeof(g_secret));
} else {
num_bytes = BN_bn2lebinpad(scalar, g_secret, sizeof(g_secret));
}
/* do the multiplication with generator precomputation */
batch_mul(x_out, y_out, z_out,
(const felem_bytearray(*))secrets, num_points,
g_secret,
mixed, (const felem(*)[17][3])pre_comp,
(const felem(*)[3])g_pre_comp);
} else {
/* do the multiplication without generator precomputation */
batch_mul(x_out, y_out, z_out,
(const felem_bytearray(*))secrets, num_points,
NULL, mixed, (const felem(*)[17][3])pre_comp, NULL);
}
/* reduce the output to its unique minimal representation */
felem_contract(x_in, x_out);
felem_contract(y_in, y_out);
felem_contract(z_in, z_out);
if ((!felem_to_BN(x, x_in)) || (!felem_to_BN(y, y_in)) ||
(!felem_to_BN(z, z_in))) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
ret = ossl_ec_GFp_simple_set_Jprojective_coordinates_GFp(group, r, x, y, z,
ctx);
err:
BN_CTX_end(ctx);
EC_POINT_free(generator);
OPENSSL_free(secrets);
OPENSSL_free(pre_comp);
OPENSSL_free(tmp_felems);
return ret;
}
int ossl_ec_GFp_nistp384_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
{
int ret = 0;
NISTP384_PRE_COMP *pre = NULL;
int i, j;
BIGNUM *x, *y;
EC_POINT *generator = NULL;
felem tmp_felems[16];
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
#endif
/* throw away old precomputation */
EC_pre_comp_free(group);
#ifndef FIPS_MODULE
if (ctx == NULL)
ctx = new_ctx = BN_CTX_new();
#endif
if (ctx == NULL)
return 0;
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
if (y == NULL)
goto err;
/* get the generator */
if (group->generator == NULL)
goto err;
generator = EC_POINT_new(group);
if (generator == NULL)
goto err;
BN_bin2bn(nistp384_curve_params[3], sizeof(felem_bytearray), x);
BN_bin2bn(nistp384_curve_params[4], sizeof(felem_bytearray), y);
if (!EC_POINT_set_affine_coordinates(group, generator, x, y, ctx))
goto err;
if ((pre = nistp384_pre_comp_new()) == NULL)
goto err;
/*
* if the generator is the standard one, use built-in precomputation
*/
if (0 == EC_POINT_cmp(group, generator, group->generator, ctx)) {
memcpy(pre->g_pre_comp, gmul, sizeof(pre->g_pre_comp));
goto done;
}
if ((!BN_to_felem(pre->g_pre_comp[1][0], group->generator->X)) ||
(!BN_to_felem(pre->g_pre_comp[1][1], group->generator->Y)) ||
(!BN_to_felem(pre->g_pre_comp[1][2], group->generator->Z)))
goto err;
/* compute 2^95*G, 2^190*G, 2^285*G */
for (i = 1; i <= 4; i <<= 1) {
point_double(pre->g_pre_comp[2 * i][0], pre->g_pre_comp[2 * i][1], pre->g_pre_comp[2 * i][2],
pre->g_pre_comp[i][0], pre->g_pre_comp[i][1], pre->g_pre_comp[i][2]);
for (j = 0; j < 94; ++j) {
point_double(pre->g_pre_comp[2 * i][0], pre->g_pre_comp[2 * i][1], pre->g_pre_comp[2 * i][2],
pre->g_pre_comp[2 * i][0], pre->g_pre_comp[2 * i][1], pre->g_pre_comp[2 * i][2]);
}
}
/* g_pre_comp[0] is the point at infinity */
memset(pre->g_pre_comp[0], 0, sizeof(pre->g_pre_comp[0]));
/* the remaining multiples */
/* 2^95*G + 2^190*G */
point_add(pre->g_pre_comp[6][0], pre->g_pre_comp[6][1], pre->g_pre_comp[6][2],
pre->g_pre_comp[4][0], pre->g_pre_comp[4][1], pre->g_pre_comp[4][2], 0,
pre->g_pre_comp[2][0], pre->g_pre_comp[2][1], pre->g_pre_comp[2][2]);
/* 2^95*G + 2^285*G */
point_add(pre->g_pre_comp[10][0], pre->g_pre_comp[10][1], pre->g_pre_comp[10][2],
pre->g_pre_comp[8][0], pre->g_pre_comp[8][1], pre->g_pre_comp[8][2], 0,
pre->g_pre_comp[2][0], pre->g_pre_comp[2][1], pre->g_pre_comp[2][2]);
/* 2^190*G + 2^285*G */
point_add(pre->g_pre_comp[12][0], pre->g_pre_comp[12][1], pre->g_pre_comp[12][2],
pre->g_pre_comp[8][0], pre->g_pre_comp[8][1], pre->g_pre_comp[8][2], 0,
pre->g_pre_comp[4][0], pre->g_pre_comp[4][1], pre->g_pre_comp[4][2]);
/* 2^95*G + 2^190*G + 2^285*G */
point_add(pre->g_pre_comp[14][0], pre->g_pre_comp[14][1], pre->g_pre_comp[14][2],
pre->g_pre_comp[12][0], pre->g_pre_comp[12][1], pre->g_pre_comp[12][2], 0,
pre->g_pre_comp[2][0], pre->g_pre_comp[2][1], pre->g_pre_comp[2][2]);
for (i = 1; i < 8; ++i) {
/* odd multiples: add G */
point_add(pre->g_pre_comp[2 * i + 1][0], pre->g_pre_comp[2 * i + 1][1], pre->g_pre_comp[2 * i + 1][2],
pre->g_pre_comp[2 * i][0], pre->g_pre_comp[2 * i][1], pre->g_pre_comp[2 * i][2], 0,
pre->g_pre_comp[1][0], pre->g_pre_comp[1][1], pre->g_pre_comp[1][2]);
}
make_points_affine(15, &(pre->g_pre_comp[1]), tmp_felems);
done:
SETPRECOMP(group, nistp384, pre);
ret = 1;
pre = NULL;
err:
BN_CTX_end(ctx);
EC_POINT_free(generator);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
ossl_ec_nistp384_pre_comp_free(pre);
return ret;
}
int ossl_ec_GFp_nistp384_have_precompute_mult(const EC_GROUP *group)
{
return HAVEPRECOMP(group, nistp384);
}
|
./openssl/crypto/ec/ec_key.c | /*
* Copyright 2002-2023 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* EC_KEY low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include "internal/cryptlib.h"
#include <string.h>
#include "ec_local.h"
#include "internal/refcount.h"
#include <openssl/err.h>
#ifndef FIPS_MODULE
# include <openssl/engine.h>
#endif
#include <openssl/self_test.h>
#include "prov/providercommon.h"
#include "prov/ecx.h"
#include "crypto/bn.h"
static int ecdsa_keygen_pairwise_test(EC_KEY *eckey, OSSL_CALLBACK *cb,
void *cbarg);
#ifndef FIPS_MODULE
EC_KEY *EC_KEY_new(void)
{
return ossl_ec_key_new_method_int(NULL, NULL, NULL);
}
#endif
EC_KEY *EC_KEY_new_ex(OSSL_LIB_CTX *ctx, const char *propq)
{
return ossl_ec_key_new_method_int(ctx, propq, NULL);
}
EC_KEY *EC_KEY_new_by_curve_name_ex(OSSL_LIB_CTX *ctx, const char *propq,
int nid)
{
EC_KEY *ret = EC_KEY_new_ex(ctx, propq);
if (ret == NULL)
return NULL;
ret->group = EC_GROUP_new_by_curve_name_ex(ctx, propq, nid);
if (ret->group == NULL) {
EC_KEY_free(ret);
return NULL;
}
if (ret->meth->set_group != NULL
&& ret->meth->set_group(ret, ret->group) == 0) {
EC_KEY_free(ret);
return NULL;
}
return ret;
}
#ifndef FIPS_MODULE
EC_KEY *EC_KEY_new_by_curve_name(int nid)
{
return EC_KEY_new_by_curve_name_ex(NULL, NULL, nid);
}
#endif
void EC_KEY_free(EC_KEY *r)
{
int i;
if (r == NULL)
return;
CRYPTO_DOWN_REF(&r->references, &i);
REF_PRINT_COUNT("EC_KEY", r);
if (i > 0)
return;
REF_ASSERT_ISNT(i < 0);
if (r->meth != NULL && r->meth->finish != NULL)
r->meth->finish(r);
#if !defined(OPENSSL_NO_ENGINE) && !defined(FIPS_MODULE)
ENGINE_finish(r->engine);
#endif
if (r->group && r->group->meth->keyfinish)
r->group->meth->keyfinish(r);
#ifndef FIPS_MODULE
CRYPTO_free_ex_data(CRYPTO_EX_INDEX_EC_KEY, r, &r->ex_data);
#endif
CRYPTO_FREE_REF(&r->references);
EC_GROUP_free(r->group);
EC_POINT_free(r->pub_key);
BN_clear_free(r->priv_key);
OPENSSL_free(r->propq);
OPENSSL_clear_free((void *)r, sizeof(EC_KEY));
}
EC_KEY *EC_KEY_copy(EC_KEY *dest, const EC_KEY *src)
{
if (dest == NULL || src == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return NULL;
}
if (src->meth != dest->meth) {
if (dest->meth->finish != NULL)
dest->meth->finish(dest);
if (dest->group && dest->group->meth->keyfinish)
dest->group->meth->keyfinish(dest);
#if !defined(OPENSSL_NO_ENGINE) && !defined(FIPS_MODULE)
if (ENGINE_finish(dest->engine) == 0)
return 0;
dest->engine = NULL;
#endif
}
dest->libctx = src->libctx;
/* copy the parameters */
if (src->group != NULL) {
/* clear the old group */
EC_GROUP_free(dest->group);
dest->group = ossl_ec_group_new_ex(src->libctx, src->propq,
src->group->meth);
if (dest->group == NULL)
return NULL;
if (!EC_GROUP_copy(dest->group, src->group))
return NULL;
/* copy the public key */
if (src->pub_key != NULL) {
EC_POINT_free(dest->pub_key);
dest->pub_key = EC_POINT_new(src->group);
if (dest->pub_key == NULL)
return NULL;
if (!EC_POINT_copy(dest->pub_key, src->pub_key))
return NULL;
}
/* copy the private key */
if (src->priv_key != NULL) {
if (dest->priv_key == NULL) {
dest->priv_key = BN_new();
if (dest->priv_key == NULL)
return NULL;
}
if (!BN_copy(dest->priv_key, src->priv_key))
return NULL;
if (src->group->meth->keycopy
&& src->group->meth->keycopy(dest, src) == 0)
return NULL;
}
}
/* copy the rest */
dest->enc_flag = src->enc_flag;
dest->conv_form = src->conv_form;
dest->version = src->version;
dest->flags = src->flags;
#ifndef FIPS_MODULE
if (!CRYPTO_dup_ex_data(CRYPTO_EX_INDEX_EC_KEY,
&dest->ex_data, &src->ex_data))
return NULL;
#endif
if (src->meth != dest->meth) {
#if !defined(OPENSSL_NO_ENGINE) && !defined(FIPS_MODULE)
if (src->engine != NULL && ENGINE_init(src->engine) == 0)
return NULL;
dest->engine = src->engine;
#endif
dest->meth = src->meth;
}
if (src->meth->copy != NULL && src->meth->copy(dest, src) == 0)
return NULL;
dest->dirty_cnt++;
return dest;
}
EC_KEY *EC_KEY_dup(const EC_KEY *ec_key)
{
return ossl_ec_key_dup(ec_key, OSSL_KEYMGMT_SELECT_ALL);
}
int EC_KEY_up_ref(EC_KEY *r)
{
int i;
if (CRYPTO_UP_REF(&r->references, &i) <= 0)
return 0;
REF_PRINT_COUNT("EC_KEY", r);
REF_ASSERT_ISNT(i < 2);
return ((i > 1) ? 1 : 0);
}
ENGINE *EC_KEY_get0_engine(const EC_KEY *eckey)
{
return eckey->engine;
}
int EC_KEY_generate_key(EC_KEY *eckey)
{
if (eckey == NULL || eckey->group == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if (eckey->meth->keygen != NULL) {
int ret;
ret = eckey->meth->keygen(eckey);
if (ret == 1)
eckey->dirty_cnt++;
return ret;
}
ERR_raise(ERR_LIB_EC, EC_R_OPERATION_NOT_SUPPORTED);
return 0;
}
int ossl_ec_key_gen(EC_KEY *eckey)
{
int ret;
ret = eckey->group->meth->keygen(eckey);
if (ret == 1)
eckey->dirty_cnt++;
return ret;
}
/*
* Refer: FIPS 140-3 IG 10.3.A Additional Comment 1
* Perform a KAT by duplicating the public key generation.
*
* NOTE: This issue requires a background understanding, provided in a separate
* document; the current IG 10.3.A AC1 is insufficient regarding the PCT for
* the key agreement scenario.
*
* Currently IG 10.3.A requires PCT in the mode of use prior to use of the
* key pair, citing the PCT defined in the associated standard. For key
* agreement, the only PCT defined in SP 800-56A is that of Section 5.6.2.4:
* the comparison of the original public key to a newly calculated public key.
*/
static int ecdsa_keygen_knownanswer_test(EC_KEY *eckey, BN_CTX *ctx,
OSSL_CALLBACK *cb, void *cbarg)
{
int len, ret = 0;
OSSL_SELF_TEST *st = NULL;
unsigned char bytes[512] = {0};
EC_POINT *pub_key2 = EC_POINT_new(eckey->group);
if (pub_key2 == NULL)
return 0;
st = OSSL_SELF_TEST_new(cb, cbarg);
if (st == NULL)
return 0;
OSSL_SELF_TEST_onbegin(st, OSSL_SELF_TEST_TYPE_PCT_KAT,
OSSL_SELF_TEST_DESC_PCT_ECDSA);
/* pub_key = priv_key * G (where G is a point on the curve) */
if (!EC_POINT_mul(eckey->group, pub_key2, eckey->priv_key, NULL, NULL, ctx))
goto err;
if (BN_num_bytes(pub_key2->X) > (int)sizeof(bytes))
goto err;
len = BN_bn2bin(pub_key2->X, bytes);
if (OSSL_SELF_TEST_oncorrupt_byte(st, bytes)
&& BN_bin2bn(bytes, len, pub_key2->X) == NULL)
goto err;
ret = !EC_POINT_cmp(eckey->group, eckey->pub_key, pub_key2, ctx);
err:
OSSL_SELF_TEST_onend(st, ret);
OSSL_SELF_TEST_free(st);
EC_POINT_free(pub_key2);
return ret;
}
/*
* ECC Key generation.
* See SP800-56AR3 5.6.1.2.2 "Key Pair Generation by Testing Candidates"
*
* Params:
* libctx A context containing an optional self test callback.
* eckey An EC key object that contains domain params. The generated keypair
* is stored in this object.
* pairwise_test Set to non zero to perform a pairwise test. If the test
* fails then the keypair is not generated,
* Returns 1 if the keypair was generated or 0 otherwise.
*/
static int ec_generate_key(EC_KEY *eckey, int pairwise_test)
{
int ok = 0;
BIGNUM *priv_key = NULL;
const BIGNUM *tmp = NULL;
BIGNUM *order = NULL;
EC_POINT *pub_key = NULL;
const EC_GROUP *group = eckey->group;
BN_CTX *ctx = BN_CTX_secure_new_ex(eckey->libctx);
int sm2 = EC_KEY_get_flags(eckey) & EC_FLAG_SM2_RANGE ? 1 : 0;
if (ctx == NULL)
goto err;
if (eckey->priv_key == NULL) {
priv_key = BN_secure_new();
if (priv_key == NULL)
goto err;
} else
priv_key = eckey->priv_key;
/*
* Steps (1-2): Check domain parameters and security strength.
* These steps must be done by the user. This would need to be
* stated in the security policy.
*/
tmp = EC_GROUP_get0_order(group);
if (tmp == NULL)
goto err;
/*
* Steps (3-7): priv_key = DRBG_RAND(order_n_bits) (range [1, n-1]).
* Although this is slightly different from the standard, it is effectively
* equivalent as it gives an unbiased result ranging from 1..n-1. It is also
* faster as the standard needs to retry more often. Also doing
* 1 + rand[0..n-2] would effect the way that tests feed dummy entropy into
* rand so the simpler backward compatible method has been used here.
*/
/* range of SM2 private key is [1, n-1) */
if (sm2) {
order = BN_new();
if (order == NULL || !BN_sub(order, tmp, BN_value_one()))
goto err;
} else {
order = BN_dup(tmp);
if (order == NULL)
goto err;
}
do
if (!BN_priv_rand_range_ex(priv_key, order, 0, ctx))
goto err;
while (BN_is_zero(priv_key)) ;
if (eckey->pub_key == NULL) {
pub_key = EC_POINT_new(group);
if (pub_key == NULL)
goto err;
} else
pub_key = eckey->pub_key;
/* Step (8) : pub_key = priv_key * G (where G is a point on the curve) */
if (!EC_POINT_mul(group, pub_key, priv_key, NULL, NULL, ctx))
goto err;
eckey->priv_key = priv_key;
eckey->pub_key = pub_key;
priv_key = NULL;
pub_key = NULL;
eckey->dirty_cnt++;
#ifdef FIPS_MODULE
pairwise_test = 1;
#endif /* FIPS_MODULE */
ok = 1;
if (pairwise_test) {
OSSL_CALLBACK *cb = NULL;
void *cbarg = NULL;
OSSL_SELF_TEST_get_callback(eckey->libctx, &cb, &cbarg);
ok = ecdsa_keygen_pairwise_test(eckey, cb, cbarg)
&& ecdsa_keygen_knownanswer_test(eckey, ctx, cb, cbarg);
}
err:
/* Step (9): If there is an error return an invalid keypair. */
if (!ok) {
ossl_set_error_state(OSSL_SELF_TEST_TYPE_PCT);
BN_clear(eckey->priv_key);
if (eckey->pub_key != NULL)
EC_POINT_set_to_infinity(group, eckey->pub_key);
}
EC_POINT_free(pub_key);
BN_clear_free(priv_key);
BN_CTX_free(ctx);
BN_free(order);
return ok;
}
#ifndef FIPS_MODULE
/*
* This is similar to ec_generate_key(), except it uses an ikm to
* derive the private key.
*/
int ossl_ec_generate_key_dhkem(EC_KEY *eckey,
const unsigned char *ikm, size_t ikmlen)
{
int ok = 0;
if (eckey->priv_key == NULL) {
eckey->priv_key = BN_secure_new();
if (eckey->priv_key == NULL)
goto err;
}
if (ossl_ec_dhkem_derive_private(eckey, eckey->priv_key, ikm, ikmlen) <= 0)
goto err;
if (eckey->pub_key == NULL) {
eckey->pub_key = EC_POINT_new(eckey->group);
if (eckey->pub_key == NULL)
goto err;
}
if (!ossl_ec_key_simple_generate_public_key(eckey))
goto err;
ok = 1;
err:
if (!ok) {
BN_clear_free(eckey->priv_key);
eckey->priv_key = NULL;
if (eckey->pub_key != NULL)
EC_POINT_set_to_infinity(eckey->group, eckey->pub_key);
}
return ok;
}
#endif
int ossl_ec_key_simple_generate_key(EC_KEY *eckey)
{
return ec_generate_key(eckey, 0);
}
int ossl_ec_key_simple_generate_public_key(EC_KEY *eckey)
{
int ret;
BN_CTX *ctx = BN_CTX_new_ex(eckey->libctx);
if (ctx == NULL)
return 0;
/*
* See SP800-56AR3 5.6.1.2.2: Step (8)
* pub_key = priv_key * G (where G is a point on the curve)
*/
ret = EC_POINT_mul(eckey->group, eckey->pub_key, eckey->priv_key, NULL,
NULL, ctx);
BN_CTX_free(ctx);
if (ret == 1)
eckey->dirty_cnt++;
return ret;
}
int EC_KEY_check_key(const EC_KEY *eckey)
{
if (eckey == NULL || eckey->group == NULL || eckey->pub_key == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if (eckey->group->meth->keycheck == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
return eckey->group->meth->keycheck(eckey);
}
/*
* Check the range of the EC public key.
* See SP800-56A R3 Section 5.6.2.3.3 (Part 2)
* i.e.
* - If q = odd prime p: Verify that xQ and yQ are integers in the
* interval[0, p - 1], OR
* - If q = 2m: Verify that xQ and yQ are bit strings of length m bits.
* Returns 1 if the public key has a valid range, otherwise it returns 0.
*/
static int ec_key_public_range_check(BN_CTX *ctx, const EC_KEY *key)
{
int ret = 0;
BIGNUM *x, *y;
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
if (y == NULL)
goto err;
if (!EC_POINT_get_affine_coordinates(key->group, key->pub_key, x, y, ctx))
goto err;
if (EC_GROUP_get_field_type(key->group) == NID_X9_62_prime_field) {
if (BN_is_negative(x)
|| BN_cmp(x, key->group->field) >= 0
|| BN_is_negative(y)
|| BN_cmp(y, key->group->field) >= 0) {
goto err;
}
} else {
int m = EC_GROUP_get_degree(key->group);
if (BN_num_bits(x) > m || BN_num_bits(y) > m) {
goto err;
}
}
ret = 1;
err:
BN_CTX_end(ctx);
return ret;
}
/*
* ECC Partial Public-Key Validation as specified in SP800-56A R3
* Section 5.6.2.3.4 ECC Partial Public-Key Validation Routine.
*/
int ossl_ec_key_public_check_quick(const EC_KEY *eckey, BN_CTX *ctx)
{
if (eckey == NULL || eckey->group == NULL || eckey->pub_key == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
/* 5.6.2.3.3 (Step 1): Q != infinity */
if (EC_POINT_is_at_infinity(eckey->group, eckey->pub_key)) {
ERR_raise(ERR_LIB_EC, EC_R_POINT_AT_INFINITY);
return 0;
}
/* 5.6.2.3.3 (Step 2) Test if the public key is in range */
if (!ec_key_public_range_check(ctx, eckey)) {
ERR_raise(ERR_LIB_EC, EC_R_COORDINATES_OUT_OF_RANGE);
return 0;
}
/* 5.6.2.3.3 (Step 3) is the pub_key on the elliptic curve */
if (EC_POINT_is_on_curve(eckey->group, eckey->pub_key, ctx) <= 0) {
ERR_raise(ERR_LIB_EC, EC_R_POINT_IS_NOT_ON_CURVE);
return 0;
}
return 1;
}
/*
* ECC Key validation as specified in SP800-56A R3.
* Section 5.6.2.3.3 ECC Full Public-Key Validation Routine.
*/
int ossl_ec_key_public_check(const EC_KEY *eckey, BN_CTX *ctx)
{
int ret = 0;
EC_POINT *point = NULL;
const BIGNUM *order = NULL;
if (!ossl_ec_key_public_check_quick(eckey, ctx))
return 0;
point = EC_POINT_new(eckey->group);
if (point == NULL)
return 0;
order = eckey->group->order;
if (BN_is_zero(order)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_GROUP_ORDER);
goto err;
}
/* 5.6.2.3.3 (Step 4) : pub_key * order is the point at infinity. */
if (!EC_POINT_mul(eckey->group, point, NULL, eckey->pub_key, order, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (!EC_POINT_is_at_infinity(eckey->group, point)) {
ERR_raise(ERR_LIB_EC, EC_R_WRONG_ORDER);
goto err;
}
ret = 1;
err:
EC_POINT_free(point);
return ret;
}
/*
* ECC Key validation as specified in SP800-56A R3.
* Section 5.6.2.1.2 Owner Assurance of Private-Key Validity
* The private key is in the range [1, order-1]
*/
int ossl_ec_key_private_check(const EC_KEY *eckey)
{
if (eckey == NULL || eckey->group == NULL || eckey->priv_key == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if (BN_cmp(eckey->priv_key, BN_value_one()) < 0
|| BN_cmp(eckey->priv_key, eckey->group->order) >= 0) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_PRIVATE_KEY);
return 0;
}
return 1;
}
/*
* ECC Key validation as specified in SP800-56A R3.
* Section 5.6.2.1.4 Owner Assurance of Pair-wise Consistency (b)
* Check if generator * priv_key = pub_key
*/
int ossl_ec_key_pairwise_check(const EC_KEY *eckey, BN_CTX *ctx)
{
int ret = 0;
EC_POINT *point = NULL;
if (eckey == NULL
|| eckey->group == NULL
|| eckey->pub_key == NULL
|| eckey->priv_key == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
point = EC_POINT_new(eckey->group);
if (point == NULL)
goto err;
if (!EC_POINT_mul(eckey->group, point, eckey->priv_key, NULL, NULL, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (EC_POINT_cmp(eckey->group, point, eckey->pub_key, ctx) != 0) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_PRIVATE_KEY);
goto err;
}
ret = 1;
err:
EC_POINT_free(point);
return ret;
}
/*
* ECC Key validation as specified in SP800-56A R3.
* Section 5.6.2.3.3 ECC Full Public-Key Validation
* Section 5.6.2.1.2 Owner Assurance of Private-Key Validity
* Section 5.6.2.1.4 Owner Assurance of Pair-wise Consistency
* NOTES:
* Before calling this method in fips mode, there should be an assurance that
* an approved elliptic-curve group is used.
* Returns 1 if the key is valid, otherwise it returns 0.
*/
int ossl_ec_key_simple_check_key(const EC_KEY *eckey)
{
int ok = 0;
BN_CTX *ctx = NULL;
if (eckey == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if ((ctx = BN_CTX_new_ex(eckey->libctx)) == NULL)
return 0;
if (!ossl_ec_key_public_check(eckey, ctx))
goto err;
if (eckey->priv_key != NULL) {
if (!ossl_ec_key_private_check(eckey)
|| !ossl_ec_key_pairwise_check(eckey, ctx))
goto err;
}
ok = 1;
err:
BN_CTX_free(ctx);
return ok;
}
int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x,
BIGNUM *y)
{
BN_CTX *ctx = NULL;
BIGNUM *tx, *ty;
EC_POINT *point = NULL;
int ok = 0;
if (key == NULL || key->group == NULL || x == NULL || y == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
ctx = BN_CTX_new_ex(key->libctx);
if (ctx == NULL)
return 0;
BN_CTX_start(ctx);
point = EC_POINT_new(key->group);
if (point == NULL)
goto err;
tx = BN_CTX_get(ctx);
ty = BN_CTX_get(ctx);
if (ty == NULL)
goto err;
if (!EC_POINT_set_affine_coordinates(key->group, point, x, y, ctx))
goto err;
if (!EC_POINT_get_affine_coordinates(key->group, point, tx, ty, ctx))
goto err;
/*
* Check if retrieved coordinates match originals. The range check is done
* inside EC_KEY_check_key().
*/
if (BN_cmp(x, tx) || BN_cmp(y, ty)) {
ERR_raise(ERR_LIB_EC, EC_R_COORDINATES_OUT_OF_RANGE);
goto err;
}
/* EC_KEY_set_public_key updates dirty_cnt */
if (!EC_KEY_set_public_key(key, point))
goto err;
if (EC_KEY_check_key(key) == 0)
goto err;
ok = 1;
err:
BN_CTX_end(ctx);
BN_CTX_free(ctx);
EC_POINT_free(point);
return ok;
}
OSSL_LIB_CTX *ossl_ec_key_get_libctx(const EC_KEY *key)
{
return key->libctx;
}
const char *ossl_ec_key_get0_propq(const EC_KEY *key)
{
return key->propq;
}
void ossl_ec_key_set0_libctx(EC_KEY *key, OSSL_LIB_CTX *libctx)
{
key->libctx = libctx;
/* Do we need to propagate this to the group? */
}
const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key)
{
return key->group;
}
int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group)
{
if (key->meth->set_group != NULL && key->meth->set_group(key, group) == 0)
return 0;
EC_GROUP_free(key->group);
key->group = EC_GROUP_dup(group);
if (key->group != NULL && EC_GROUP_get_curve_name(key->group) == NID_sm2)
EC_KEY_set_flags(key, EC_FLAG_SM2_RANGE);
key->dirty_cnt++;
return (key->group == NULL) ? 0 : 1;
}
const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key)
{
return key->priv_key;
}
int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *priv_key)
{
int fixed_top;
const BIGNUM *order = NULL;
BIGNUM *tmp_key = NULL;
if (key->group == NULL || key->group->meth == NULL)
return 0;
/*
* Not only should key->group be set, but it should also be in a valid
* fully initialized state.
*
* Specifically, to operate in constant time, we need that the group order
* is set, as we use its length as the fixed public size of any scalar used
* as an EC private key.
*/
order = EC_GROUP_get0_order(key->group);
if (order == NULL || BN_is_zero(order))
return 0; /* This should never happen */
if (key->group->meth->set_private != NULL
&& key->group->meth->set_private(key, priv_key) == 0)
return 0;
if (key->meth->set_private != NULL
&& key->meth->set_private(key, priv_key) == 0)
return 0;
/*
* Return `0` to comply with legacy behavior for this function, see
* https://github.com/openssl/openssl/issues/18744#issuecomment-1195175696
*/
if (priv_key == NULL) {
BN_clear_free(key->priv_key);
key->priv_key = NULL;
return 0; /* intentional for legacy compatibility */
}
/*
* We should never leak the bit length of the secret scalar in the key,
* so we always set the `BN_FLG_CONSTTIME` flag on the internal `BIGNUM`
* holding the secret scalar.
*
* This is important also because `BN_dup()` (and `BN_copy()`) do not
* propagate the `BN_FLG_CONSTTIME` flag from the source `BIGNUM`, and
* this brings an extra risk of inadvertently losing the flag, even when
* the caller specifically set it.
*
* The propagation has been turned on and off a few times in the past
* years because in some conditions has shown unintended consequences in
* some code paths, so at the moment we can't fix this in the BN layer.
*
* In `EC_KEY_set_private_key()` we can work around the propagation by
* manually setting the flag after `BN_dup()` as we know for sure that
* inside the EC module the `BN_FLG_CONSTTIME` is always treated
* correctly and should not generate unintended consequences.
*
* Setting the BN_FLG_CONSTTIME flag alone is never enough, we also have
* to preallocate the BIGNUM internal buffer to a fixed public size big
* enough that operations performed during the processing never trigger
* a realloc which would leak the size of the scalar through memory
* accesses.
*
* Fixed Length
* ------------
*
* The order of the large prime subgroup of the curve is our choice for
* a fixed public size, as that is generally the upper bound for
* generating a private key in EC cryptosystems and should fit all valid
* secret scalars.
*
* For preallocating the BIGNUM storage we look at the number of "words"
* required for the internal representation of the order, and we
* preallocate 2 extra "words" in case any of the subsequent processing
* might temporarily overflow the order length.
*/
tmp_key = BN_dup(priv_key);
if (tmp_key == NULL)
return 0;
BN_set_flags(tmp_key, BN_FLG_CONSTTIME);
fixed_top = bn_get_top(order) + 2;
if (bn_wexpand(tmp_key, fixed_top) == NULL) {
BN_clear_free(tmp_key);
return 0;
}
BN_clear_free(key->priv_key);
key->priv_key = tmp_key;
key->dirty_cnt++;
return 1;
}
const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key)
{
return key->pub_key;
}
int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub_key)
{
if (key->meth->set_public != NULL
&& key->meth->set_public(key, pub_key) == 0)
return 0;
EC_POINT_free(key->pub_key);
key->pub_key = EC_POINT_dup(pub_key, key->group);
key->dirty_cnt++;
return (key->pub_key == NULL) ? 0 : 1;
}
unsigned int EC_KEY_get_enc_flags(const EC_KEY *key)
{
return key->enc_flag;
}
void EC_KEY_set_enc_flags(EC_KEY *key, unsigned int flags)
{
key->enc_flag = flags;
}
point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key)
{
return key->conv_form;
}
void EC_KEY_set_conv_form(EC_KEY *key, point_conversion_form_t cform)
{
key->conv_form = cform;
if (key->group != NULL)
EC_GROUP_set_point_conversion_form(key->group, cform);
}
void EC_KEY_set_asn1_flag(EC_KEY *key, int flag)
{
if (key->group != NULL)
EC_GROUP_set_asn1_flag(key->group, flag);
}
#ifndef OPENSSL_NO_DEPRECATED_3_0
int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx)
{
if (key->group == NULL)
return 0;
return EC_GROUP_precompute_mult(key->group, ctx);
}
#endif
int EC_KEY_get_flags(const EC_KEY *key)
{
return key->flags;
}
void EC_KEY_set_flags(EC_KEY *key, int flags)
{
key->flags |= flags;
key->dirty_cnt++;
}
void EC_KEY_clear_flags(EC_KEY *key, int flags)
{
key->flags &= ~flags;
key->dirty_cnt++;
}
int EC_KEY_decoded_from_explicit_params(const EC_KEY *key)
{
if (key == NULL || key->group == NULL)
return -1;
return key->group->decoded_from_explicit_params;
}
size_t EC_KEY_key2buf(const EC_KEY *key, point_conversion_form_t form,
unsigned char **pbuf, BN_CTX *ctx)
{
if (key == NULL || key->pub_key == NULL || key->group == NULL)
return 0;
return EC_POINT_point2buf(key->group, key->pub_key, form, pbuf, ctx);
}
int EC_KEY_oct2key(EC_KEY *key, const unsigned char *buf, size_t len,
BN_CTX *ctx)
{
if (key == NULL || key->group == NULL)
return 0;
if (key->pub_key == NULL)
key->pub_key = EC_POINT_new(key->group);
if (key->pub_key == NULL)
return 0;
if (EC_POINT_oct2point(key->group, key->pub_key, buf, len, ctx) == 0)
return 0;
key->dirty_cnt++;
/*
* Save the point conversion form.
* For non-custom curves the first octet of the buffer (excluding
* the last significant bit) contains the point conversion form.
* EC_POINT_oct2point() has already performed sanity checking of
* the buffer so we know it is valid.
*/
if ((key->group->meth->flags & EC_FLAGS_CUSTOM_CURVE) == 0)
key->conv_form = (point_conversion_form_t)(buf[0] & ~0x01);
return 1;
}
size_t EC_KEY_priv2oct(const EC_KEY *eckey,
unsigned char *buf, size_t len)
{
if (eckey->group == NULL || eckey->group->meth == NULL)
return 0;
if (eckey->group->meth->priv2oct == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
return eckey->group->meth->priv2oct(eckey, buf, len);
}
size_t ossl_ec_key_simple_priv2oct(const EC_KEY *eckey,
unsigned char *buf, size_t len)
{
size_t buf_len;
buf_len = (EC_GROUP_order_bits(eckey->group) + 7) / 8;
if (eckey->priv_key == NULL)
return 0;
if (buf == NULL)
return buf_len;
else if (len < buf_len)
return 0;
/* Octetstring may need leading zeros if BN is to short */
if (BN_bn2binpad(eckey->priv_key, buf, buf_len) == -1) {
ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
return 0;
}
return buf_len;
}
int EC_KEY_oct2priv(EC_KEY *eckey, const unsigned char *buf, size_t len)
{
int ret;
if (eckey->group == NULL || eckey->group->meth == NULL)
return 0;
if (eckey->group->meth->oct2priv == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
ret = eckey->group->meth->oct2priv(eckey, buf, len);
if (ret == 1)
eckey->dirty_cnt++;
return ret;
}
int ossl_ec_key_simple_oct2priv(EC_KEY *eckey, const unsigned char *buf,
size_t len)
{
if (eckey->priv_key == NULL)
eckey->priv_key = BN_secure_new();
if (eckey->priv_key == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return 0;
}
if (BN_bin2bn(buf, len, eckey->priv_key) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return 0;
}
eckey->dirty_cnt++;
return 1;
}
size_t EC_KEY_priv2buf(const EC_KEY *eckey, unsigned char **pbuf)
{
size_t len;
unsigned char *buf;
len = EC_KEY_priv2oct(eckey, NULL, 0);
if (len == 0)
return 0;
if ((buf = OPENSSL_malloc(len)) == NULL)
return 0;
len = EC_KEY_priv2oct(eckey, buf, len);
if (len == 0) {
OPENSSL_free(buf);
return 0;
}
*pbuf = buf;
return len;
}
int EC_KEY_can_sign(const EC_KEY *eckey)
{
if (eckey->group == NULL || eckey->group->meth == NULL
|| (eckey->group->meth->flags & EC_FLAGS_NO_SIGN))
return 0;
return 1;
}
/*
* FIPS 140-2 IG 9.9 AS09.33
* Perform a sign/verify operation.
*
* NOTE: When generating keys for key-agreement schemes - FIPS 140-2 IG 9.9
* states that no additional pairwise tests are required (apart from the tests
* specified in SP800-56A) when generating keys. Hence pairwise ECDH tests are
* omitted here.
*/
static int ecdsa_keygen_pairwise_test(EC_KEY *eckey, OSSL_CALLBACK *cb,
void *cbarg)
{
int ret = 0;
unsigned char dgst[16] = {0};
int dgst_len = (int)sizeof(dgst);
ECDSA_SIG *sig = NULL;
OSSL_SELF_TEST *st = NULL;
st = OSSL_SELF_TEST_new(cb, cbarg);
if (st == NULL)
return 0;
OSSL_SELF_TEST_onbegin(st, OSSL_SELF_TEST_TYPE_PCT,
OSSL_SELF_TEST_DESC_PCT_ECDSA);
sig = ECDSA_do_sign(dgst, dgst_len, eckey);
if (sig == NULL)
goto err;
OSSL_SELF_TEST_oncorrupt_byte(st, dgst);
if (ECDSA_do_verify(dgst, dgst_len, sig, eckey) != 1)
goto err;
ret = 1;
err:
OSSL_SELF_TEST_onend(st, ret);
OSSL_SELF_TEST_free(st);
ECDSA_SIG_free(sig);
return ret;
}
|
./openssl/crypto/ec/ec_local.h | /*
* Copyright 2001-2023 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdlib.h>
#include <openssl/obj_mac.h>
#include <openssl/ec.h>
#include <openssl/bn.h>
#include "internal/refcount.h"
#include "crypto/ec.h"
#if defined(__SUNPRO_C)
# if __SUNPRO_C >= 0x520
# pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
# endif
#endif
/* Use default functions for poin2oct, oct2point and compressed coordinates */
#define EC_FLAGS_DEFAULT_OCT 0x1
/* Use custom formats for EC_GROUP, EC_POINT and EC_KEY */
#define EC_FLAGS_CUSTOM_CURVE 0x2
/* Curve does not support signing operations */
#define EC_FLAGS_NO_SIGN 0x4
#ifdef OPENSSL_NO_DEPRECATED_3_0
typedef struct ec_method_st EC_METHOD;
#endif
/*
* Structure details are not part of the exported interface, so all this may
* change in future versions.
*/
struct ec_method_st {
/* Various method flags */
int flags;
/* used by EC_METHOD_get_field_type: */
int field_type; /* a NID */
/*
* used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free,
* EC_GROUP_copy:
*/
int (*group_init) (EC_GROUP *);
void (*group_finish) (EC_GROUP *);
void (*group_clear_finish) (EC_GROUP *);
int (*group_copy) (EC_GROUP *, const EC_GROUP *);
/* used by EC_GROUP_set_curve, EC_GROUP_get_curve: */
int (*group_set_curve) (EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
const BIGNUM *b, BN_CTX *);
int (*group_get_curve) (const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b,
BN_CTX *);
/* used by EC_GROUP_get_degree: */
int (*group_get_degree) (const EC_GROUP *);
int (*group_order_bits) (const EC_GROUP *);
/* used by EC_GROUP_check: */
int (*group_check_discriminant) (const EC_GROUP *, BN_CTX *);
/*
* used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free,
* EC_POINT_copy:
*/
int (*point_init) (EC_POINT *);
void (*point_finish) (EC_POINT *);
void (*point_clear_finish) (EC_POINT *);
int (*point_copy) (EC_POINT *, const EC_POINT *);
/*-
* used by EC_POINT_set_to_infinity,
* EC_POINT_set_Jprojective_coordinates_GFp,
* EC_POINT_get_Jprojective_coordinates_GFp,
* EC_POINT_set_affine_coordinates,
* EC_POINT_get_affine_coordinates,
* EC_POINT_set_compressed_coordinates:
*/
int (*point_set_to_infinity) (const EC_GROUP *, EC_POINT *);
int (*point_set_affine_coordinates) (const EC_GROUP *, EC_POINT *,
const BIGNUM *x, const BIGNUM *y,
BN_CTX *);
int (*point_get_affine_coordinates) (const EC_GROUP *, const EC_POINT *,
BIGNUM *x, BIGNUM *y, BN_CTX *);
int (*point_set_compressed_coordinates) (const EC_GROUP *, EC_POINT *,
const BIGNUM *x, int y_bit,
BN_CTX *);
/* used by EC_POINT_point2oct, EC_POINT_oct2point: */
size_t (*point2oct) (const EC_GROUP *, const EC_POINT *,
point_conversion_form_t form, unsigned char *buf,
size_t len, BN_CTX *);
int (*oct2point) (const EC_GROUP *, EC_POINT *, const unsigned char *buf,
size_t len, BN_CTX *);
/* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */
int (*add) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
const EC_POINT *b, BN_CTX *);
int (*dbl) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
int (*invert) (const EC_GROUP *, EC_POINT *, BN_CTX *);
/*
* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp:
*/
int (*is_at_infinity) (const EC_GROUP *, const EC_POINT *);
int (*is_on_curve) (const EC_GROUP *, const EC_POINT *, BN_CTX *);
int (*point_cmp) (const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
BN_CTX *);
/* used by EC_POINT_make_affine, EC_POINTs_make_affine: */
int (*make_affine) (const EC_GROUP *, EC_POINT *, BN_CTX *);
int (*points_make_affine) (const EC_GROUP *, size_t num, EC_POINT *[],
BN_CTX *);
/*
* used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult,
* EC_POINT_have_precompute_mult (default implementations are used if the
* 'mul' pointer is 0):
*/
/*-
* mul() calculates the value
*
* r := generator * scalar
* + points[0] * scalars[0]
* + ...
* + points[num-1] * scalars[num-1].
*
* For a fixed point multiplication (scalar != NULL, num == 0)
* or a variable point multiplication (scalar == NULL, num == 1),
* mul() must use a constant time algorithm: in both cases callers
* should provide an input scalar (either scalar or scalars[0])
* in the range [0, ec_group_order); for robustness, implementers
* should handle the case when the scalar has not been reduced, but
* may treat it as an unusual input, without any constant-timeness
* guarantee.
*/
int (*mul) (const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
BN_CTX *);
int (*precompute_mult) (EC_GROUP *group, BN_CTX *);
int (*have_precompute_mult) (const EC_GROUP *group);
/* internal functions */
/*
* 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and
* 'dbl' so that the same implementations of point operations can be used
* with different optimized implementations of expensive field
* operations:
*/
int (*field_mul) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
const BIGNUM *b, BN_CTX *);
int (*field_sqr) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
int (*field_div) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
const BIGNUM *b, BN_CTX *);
/*-
* 'field_inv' computes the multiplicative inverse of a in the field,
* storing the result in r.
*
* If 'a' is zero (or equivalent), you'll get an EC_R_CANNOT_INVERT error.
*/
int (*field_inv) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
/* e.g. to Montgomery */
int (*field_encode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
BN_CTX *);
/* e.g. from Montgomery */
int (*field_decode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
BN_CTX *);
int (*field_set_to_one) (const EC_GROUP *, BIGNUM *r, BN_CTX *);
/* private key operations */
size_t (*priv2oct)(const EC_KEY *eckey, unsigned char *buf, size_t len);
int (*oct2priv)(EC_KEY *eckey, const unsigned char *buf, size_t len);
int (*set_private)(EC_KEY *eckey, const BIGNUM *priv_key);
int (*keygen)(EC_KEY *eckey);
int (*keycheck)(const EC_KEY *eckey);
int (*keygenpub)(EC_KEY *eckey);
int (*keycopy)(EC_KEY *dst, const EC_KEY *src);
void (*keyfinish)(EC_KEY *eckey);
/* custom ECDH operation */
int (*ecdh_compute_key)(unsigned char **pout, size_t *poutlen,
const EC_POINT *pub_key, const EC_KEY *ecdh);
/* custom ECDSA */
int (*ecdsa_sign_setup)(EC_KEY *eckey, BN_CTX *ctx, BIGNUM **kinvp,
BIGNUM **rp);
ECDSA_SIG *(*ecdsa_sign_sig)(const unsigned char *dgst, int dgstlen,
const BIGNUM *kinv, const BIGNUM *r,
EC_KEY *eckey);
int (*ecdsa_verify_sig)(const unsigned char *dgst, int dgstlen,
const ECDSA_SIG *sig, EC_KEY *eckey);
/* Inverse modulo order */
int (*field_inverse_mod_ord)(const EC_GROUP *, BIGNUM *r,
const BIGNUM *x, BN_CTX *);
int (*blind_coordinates)(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx);
int (*ladder_pre)(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx);
int (*ladder_step)(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx);
int (*ladder_post)(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx);
};
/*
* Types and functions to manipulate pre-computed values.
*/
typedef struct nistp224_pre_comp_st NISTP224_PRE_COMP;
typedef struct nistp256_pre_comp_st NISTP256_PRE_COMP;
typedef struct nistp384_pre_comp_st NISTP384_PRE_COMP;
typedef struct nistp521_pre_comp_st NISTP521_PRE_COMP;
typedef struct nistz256_pre_comp_st NISTZ256_PRE_COMP;
typedef struct ec_pre_comp_st EC_PRE_COMP;
struct ec_group_st {
const EC_METHOD *meth;
EC_POINT *generator; /* optional */
BIGNUM *order, *cofactor;
int curve_name; /* optional NID for named curve */
int asn1_flag; /* flag to control the asn1 encoding */
int decoded_from_explicit_params; /* set if decoded from explicit
* curve parameters encoding */
point_conversion_form_t asn1_form;
unsigned char *seed; /* optional seed for parameters (appears in
* ASN1) */
size_t seed_len;
/*
* The following members are handled by the method functions, even if
* they appear generic
*/
/*
* Field specification. For curves over GF(p), this is the modulus; for
* curves over GF(2^m), this is the irreducible polynomial defining the
* field.
*/
BIGNUM *field;
/*
* Field specification for curves over GF(2^m). The irreducible f(t) is
* then of the form: t^poly[0] + t^poly[1] + ... + t^poly[k] where m =
* poly[0] > poly[1] > ... > poly[k] = 0. The array is terminated with
* poly[k+1]=-1. All elliptic curve irreducibles have at most 5 non-zero
* terms.
*/
int poly[6];
/*
* Curve coefficients. (Here the assumption is that BIGNUMs can be used
* or abused for all kinds of fields, not just GF(p).) For characteristic
* > 3, the curve is defined by a Weierstrass equation of the form y^2 =
* x^3 + a*x + b. For characteristic 2, the curve is defined by an
* equation of the form y^2 + x*y = x^3 + a*x^2 + b.
*/
BIGNUM *a, *b;
/* enable optimized point arithmetic for special case */
int a_is_minus3;
/* method-specific (e.g., Montgomery structure) */
void *field_data1;
/* method-specific */
void *field_data2;
/* method-specific */
int (*field_mod_func) (BIGNUM *, const BIGNUM *, const BIGNUM *,
BN_CTX *);
/* data for ECDSA inverse */
BN_MONT_CTX *mont_data;
/*
* Precomputed values for speed. The PCT_xxx names match the
* pre_comp.xxx union names; see the SETPRECOMP and HAVEPRECOMP
* macros, below.
*/
enum {
PCT_none,
PCT_nistp224, PCT_nistp256, PCT_nistp384, PCT_nistp521, PCT_nistz256,
PCT_ec
} pre_comp_type;
union {
NISTP224_PRE_COMP *nistp224;
NISTP256_PRE_COMP *nistp256;
NISTP384_PRE_COMP *nistp384;
NISTP521_PRE_COMP *nistp521;
NISTZ256_PRE_COMP *nistz256;
EC_PRE_COMP *ec;
} pre_comp;
OSSL_LIB_CTX *libctx;
char *propq;
};
#define SETPRECOMP(g, type, pre) \
g->pre_comp_type = PCT_##type, g->pre_comp.type = pre
#define HAVEPRECOMP(g, type) \
g->pre_comp_type == PCT_##type && g->pre_comp.type != NULL
struct ec_key_st {
const EC_KEY_METHOD *meth;
ENGINE *engine;
int version;
EC_GROUP *group;
EC_POINT *pub_key;
BIGNUM *priv_key;
unsigned int enc_flag;
point_conversion_form_t conv_form;
CRYPTO_REF_COUNT references;
int flags;
#ifndef FIPS_MODULE
CRYPTO_EX_DATA ex_data;
#endif
OSSL_LIB_CTX *libctx;
char *propq;
/* Provider data */
size_t dirty_cnt; /* If any key material changes, increment this */
};
struct ec_point_st {
const EC_METHOD *meth;
/* NID for the curve if known */
int curve_name;
/*
* All members except 'meth' are handled by the method functions, even if
* they appear generic
*/
BIGNUM *X;
BIGNUM *Y;
BIGNUM *Z; /* Jacobian projective coordinates: * (X, Y,
* Z) represents (X/Z^2, Y/Z^3) if Z != 0 */
int Z_is_one; /* enable optimized point arithmetic for
* special case */
};
static ossl_inline int ec_point_is_compat(const EC_POINT *point,
const EC_GROUP *group)
{
return group->meth == point->meth
&& (group->curve_name == 0
|| point->curve_name == 0
|| group->curve_name == point->curve_name);
}
NISTP224_PRE_COMP *EC_nistp224_pre_comp_dup(NISTP224_PRE_COMP *);
NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
NISTP384_PRE_COMP *ossl_ec_nistp384_pre_comp_dup(NISTP384_PRE_COMP *);
NISTP521_PRE_COMP *EC_nistp521_pre_comp_dup(NISTP521_PRE_COMP *);
NISTZ256_PRE_COMP *EC_nistz256_pre_comp_dup(NISTZ256_PRE_COMP *);
NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
EC_PRE_COMP *EC_ec_pre_comp_dup(EC_PRE_COMP *);
void EC_pre_comp_free(EC_GROUP *group);
void EC_nistp224_pre_comp_free(NISTP224_PRE_COMP *);
void EC_nistp256_pre_comp_free(NISTP256_PRE_COMP *);
void ossl_ec_nistp384_pre_comp_free(NISTP384_PRE_COMP *);
void EC_nistp521_pre_comp_free(NISTP521_PRE_COMP *);
void EC_nistz256_pre_comp_free(NISTZ256_PRE_COMP *);
void EC_ec_pre_comp_free(EC_PRE_COMP *);
/*
* method functions in ec_mult.c (ec_lib.c uses these as defaults if
* group->method->mul is 0)
*/
int ossl_ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
size_t num, const EC_POINT *points[],
const BIGNUM *scalars[], BN_CTX *);
int ossl_ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *);
int ossl_ec_wNAF_have_precompute_mult(const EC_GROUP *group);
/* method functions in ecp_smpl.c */
int ossl_ec_GFp_simple_group_init(EC_GROUP *);
void ossl_ec_GFp_simple_group_finish(EC_GROUP *);
void ossl_ec_GFp_simple_group_clear_finish(EC_GROUP *);
int ossl_ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
int ossl_ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p,
const BIGNUM *a, const BIGNUM *b,
BN_CTX *);
int ossl_ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
BIGNUM *b, BN_CTX *);
int ossl_ec_GFp_simple_group_get_degree(const EC_GROUP *);
int ossl_ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
int ossl_ec_GFp_simple_point_init(EC_POINT *);
void ossl_ec_GFp_simple_point_finish(EC_POINT *);
void ossl_ec_GFp_simple_point_clear_finish(EC_POINT *);
int ossl_ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *);
int ossl_ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
int ossl_ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *,
EC_POINT *,
const BIGNUM *x,
const BIGNUM *y,
const BIGNUM *z,
BN_CTX *);
int ossl_ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *,
const EC_POINT *,
BIGNUM *x,
BIGNUM *y, BIGNUM *z,
BN_CTX *);
int ossl_ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
const BIGNUM *x,
const BIGNUM *y, BN_CTX *);
int ossl_ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *,
const EC_POINT *, BIGNUM *x,
BIGNUM *y, BN_CTX *);
int ossl_ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, int y_bit,
BN_CTX *);
size_t ossl_ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *,
point_conversion_form_t form,
unsigned char *buf, size_t len, BN_CTX *);
int ossl_ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *,
const unsigned char *buf, size_t len, BN_CTX *);
int ossl_ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
const EC_POINT *b, BN_CTX *);
int ossl_ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
BN_CTX *);
int ossl_ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
int ossl_ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
int ossl_ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
int ossl_ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a,
const EC_POINT *b, BN_CTX *);
int ossl_ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
int ossl_ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num,
EC_POINT *[], BN_CTX *);
int ossl_ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
const BIGNUM *b, BN_CTX *);
int ossl_ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
BN_CTX *);
int ossl_ec_GFp_simple_field_inv(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
BN_CTX *);
int ossl_ec_GFp_simple_blind_coordinates(const EC_GROUP *group, EC_POINT *p,
BN_CTX *ctx);
int ossl_ec_GFp_simple_ladder_pre(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx);
int ossl_ec_GFp_simple_ladder_step(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx);
int ossl_ec_GFp_simple_ladder_post(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx);
/* method functions in ecp_mont.c */
int ossl_ec_GFp_mont_group_init(EC_GROUP *);
int ossl_ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p,
const BIGNUM *a,
const BIGNUM *b, BN_CTX *);
void ossl_ec_GFp_mont_group_finish(EC_GROUP *);
void ossl_ec_GFp_mont_group_clear_finish(EC_GROUP *);
int ossl_ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *);
int ossl_ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
const BIGNUM *b, BN_CTX *);
int ossl_ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
BN_CTX *);
int ossl_ec_GFp_mont_field_inv(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
BN_CTX *);
int ossl_ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
BN_CTX *);
int ossl_ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
BN_CTX *);
int ossl_ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *);
/* method functions in ecp_nist.c */
int ossl_ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src);
int ossl_ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p,
const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int ossl_ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
const BIGNUM *b, BN_CTX *);
int ossl_ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
BN_CTX *);
/* method functions in ec2_smpl.c */
int ossl_ec_GF2m_simple_group_init(EC_GROUP *);
void ossl_ec_GF2m_simple_group_finish(EC_GROUP *);
void ossl_ec_GF2m_simple_group_clear_finish(EC_GROUP *);
int ossl_ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *);
int ossl_ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p,
const BIGNUM *a, const BIGNUM *b,
BN_CTX *);
int ossl_ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
BIGNUM *b, BN_CTX *);
int ossl_ec_GF2m_simple_group_get_degree(const EC_GROUP *);
int ossl_ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
int ossl_ec_GF2m_simple_point_init(EC_POINT *);
void ossl_ec_GF2m_simple_point_finish(EC_POINT *);
void ossl_ec_GF2m_simple_point_clear_finish(EC_POINT *);
int ossl_ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *);
int ossl_ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
int ossl_ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *,
EC_POINT *,
const BIGNUM *x,
const BIGNUM *y, BN_CTX *);
int ossl_ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *,
const EC_POINT *, BIGNUM *x,
BIGNUM *y, BN_CTX *);
int ossl_ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, int y_bit,
BN_CTX *);
size_t ossl_ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *,
point_conversion_form_t form,
unsigned char *buf, size_t len, BN_CTX *);
int ossl_ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *,
const unsigned char *buf, size_t len, BN_CTX *);
int ossl_ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
const EC_POINT *b, BN_CTX *);
int ossl_ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
BN_CTX *);
int ossl_ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
int ossl_ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
int ossl_ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
int ossl_ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a,
const EC_POINT *b, BN_CTX *);
int ossl_ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
int ossl_ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num,
EC_POINT *[], BN_CTX *);
int ossl_ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
const BIGNUM *b, BN_CTX *);
int ossl_ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
BN_CTX *);
int ossl_ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
const BIGNUM *b, BN_CTX *);
#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
# ifdef B_ENDIAN
# error "Can not enable ec_nistp_64_gcc_128 on big-endian systems"
# endif
/* method functions in ecp_nistp224.c */
int ossl_ec_GFp_nistp224_group_init(EC_GROUP *group);
int ossl_ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p,
const BIGNUM *a, const BIGNUM *n,
BN_CTX *);
int ossl_ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group,
const EC_POINT *point,
BIGNUM *x, BIGNUM *y,
BN_CTX *ctx);
int ossl_ec_GFp_nistp224_mul(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar, size_t num,
const EC_POINT *points[], const BIGNUM *scalars[],
BN_CTX *);
int ossl_ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar, size_t num,
const EC_POINT *points[],
const BIGNUM *scalars[], BN_CTX *ctx);
int ossl_ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
int ossl_ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group);
/* method functions in ecp_nistp256.c */
int ossl_ec_GFp_nistp256_group_init(EC_GROUP *group);
int ossl_ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p,
const BIGNUM *a, const BIGNUM *n,
BN_CTX *);
int ossl_ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group,
const EC_POINT *point,
BIGNUM *x, BIGNUM *y,
BN_CTX *ctx);
int ossl_ec_GFp_nistp256_mul(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar, size_t num,
const EC_POINT *points[], const BIGNUM *scalars[],
BN_CTX *);
int ossl_ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar, size_t num,
const EC_POINT *points[],
const BIGNUM *scalars[], BN_CTX *ctx);
int ossl_ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
int ossl_ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group);
/* method functions in ecp_nistp384.c */
int ossl_ec_GFp_nistp384_group_init(EC_GROUP *group);
int ossl_ec_GFp_nistp384_group_set_curve(EC_GROUP *group, const BIGNUM *p,
const BIGNUM *a, const BIGNUM *n,
BN_CTX *);
int ossl_ec_GFp_nistp384_point_get_affine_coordinates(const EC_GROUP *group,
const EC_POINT *point,
BIGNUM *x, BIGNUM *y,
BN_CTX *ctx);
int ossl_ec_GFp_nistp384_mul(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar, size_t num,
const EC_POINT *points[], const BIGNUM *scalars[],
BN_CTX *);
int ossl_ec_GFp_nistp384_points_mul(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar, size_t num,
const EC_POINT *points[],
const BIGNUM *scalars[], BN_CTX *ctx);
int ossl_ec_GFp_nistp384_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
int ossl_ec_GFp_nistp384_have_precompute_mult(const EC_GROUP *group);
const EC_METHOD *ossl_ec_GFp_nistp384_method(void);
/* method functions in ecp_nistp521.c */
int ossl_ec_GFp_nistp521_group_init(EC_GROUP *group);
int ossl_ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p,
const BIGNUM *a, const BIGNUM *n,
BN_CTX *);
int ossl_ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group,
const EC_POINT *point,
BIGNUM *x, BIGNUM *y,
BN_CTX *ctx);
int ossl_ec_GFp_nistp521_mul(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar, size_t num,
const EC_POINT *points[], const BIGNUM *scalars[],
BN_CTX *);
int ossl_ec_GFp_nistp521_points_mul(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar, size_t num,
const EC_POINT *points[],
const BIGNUM *scalars[], BN_CTX *ctx);
int ossl_ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
int ossl_ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group);
/* utility functions in ecp_nistputil.c */
void ossl_ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array,
size_t felem_size,
void *tmp_felems,
void (*felem_one) (void *out),
int (*felem_is_zero)
(const void *in),
void (*felem_assign)
(void *out, const void *in),
void (*felem_square)
(void *out, const void *in),
void (*felem_mul)
(void *out,
const void *in1,
const void *in2),
void (*felem_inv)
(void *out, const void *in),
void (*felem_contract)
(void *out, const void *in));
void ossl_ec_GFp_nistp_recode_scalar_bits(unsigned char *sign,
unsigned char *digit,
unsigned char in);
#endif
int ossl_ec_group_simple_order_bits(const EC_GROUP *group);
/**
* Creates a new EC_GROUP object
* \param libctx The associated library context or NULL for the default
* library context
* \param propq Any property query string
* \param meth EC_METHOD to use
* \return newly created EC_GROUP object or NULL in case of an error.
*/
EC_GROUP *ossl_ec_group_new_ex(OSSL_LIB_CTX *libctx, const char *propq,
const EC_METHOD *meth);
#ifdef ECP_NISTZ256_ASM
/** Returns GFp methods using montgomery multiplication, with x86-64 optimized
* P256. See http://eprint.iacr.org/2013/816.
* \return EC_METHOD object
*/
const EC_METHOD *EC_GFp_nistz256_method(void);
#endif
#ifdef S390X_EC_ASM
const EC_METHOD *EC_GFp_s390x_nistp256_method(void);
const EC_METHOD *EC_GFp_s390x_nistp384_method(void);
const EC_METHOD *EC_GFp_s390x_nistp521_method(void);
#endif
size_t ossl_ec_key_simple_priv2oct(const EC_KEY *eckey,
unsigned char *buf, size_t len);
int ossl_ec_key_simple_oct2priv(EC_KEY *eckey, const unsigned char *buf,
size_t len);
int ossl_ec_key_simple_generate_key(EC_KEY *eckey);
int ossl_ec_key_simple_generate_public_key(EC_KEY *eckey);
int ossl_ec_key_simple_check_key(const EC_KEY *eckey);
#ifdef ECP_SM2P256_ASM
/* Returns optimized methods for SM2 */
const EC_METHOD *EC_GFp_sm2p256_method(void);
#endif
int ossl_ec_curve_nid_from_params(const EC_GROUP *group, BN_CTX *ctx);
/* EC_METHOD definitions */
struct ec_key_method_st {
const char *name;
int32_t flags;
int (*init)(EC_KEY *key);
void (*finish)(EC_KEY *key);
int (*copy)(EC_KEY *dest, const EC_KEY *src);
int (*set_group)(EC_KEY *key, const EC_GROUP *grp);
int (*set_private)(EC_KEY *key, const BIGNUM *priv_key);
int (*set_public)(EC_KEY *key, const EC_POINT *pub_key);
int (*keygen)(EC_KEY *key);
int (*compute_key)(unsigned char **pout, size_t *poutlen,
const EC_POINT *pub_key, const EC_KEY *ecdh);
int (*sign)(int type, const unsigned char *dgst, int dlen, unsigned char
*sig, unsigned int *siglen, const BIGNUM *kinv,
const BIGNUM *r, EC_KEY *eckey);
int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
BIGNUM **rp);
ECDSA_SIG *(*sign_sig)(const unsigned char *dgst, int dgst_len,
const BIGNUM *in_kinv, const BIGNUM *in_r,
EC_KEY *eckey);
int (*verify)(int type, const unsigned char *dgst, int dgst_len,
const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
int (*verify_sig)(const unsigned char *dgst, int dgst_len,
const ECDSA_SIG *sig, EC_KEY *eckey);
};
#define EC_KEY_METHOD_DYNAMIC 1
EC_KEY *ossl_ec_key_new_method_int(OSSL_LIB_CTX *libctx, const char *propq,
ENGINE *engine);
int ossl_ec_key_gen(EC_KEY *eckey);
int ossl_ecdh_compute_key(unsigned char **pout, size_t *poutlen,
const EC_POINT *pub_key, const EC_KEY *ecdh);
int ossl_ecdh_simple_compute_key(unsigned char **pout, size_t *poutlen,
const EC_POINT *pub_key, const EC_KEY *ecdh);
struct ECDSA_SIG_st {
BIGNUM *r;
BIGNUM *s;
};
int ossl_ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
BIGNUM **rp);
int ossl_ecdsa_sign(int type, const unsigned char *dgst, int dlen,
unsigned char *sig, unsigned int *siglen,
const BIGNUM *kinv, const BIGNUM *r, EC_KEY *eckey);
ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len,
const BIGNUM *in_kinv, const BIGNUM *in_r,
EC_KEY *eckey);
int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len,
const unsigned char *sigbuf, int sig_len, EC_KEY *eckey);
int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len,
const ECDSA_SIG *sig, EC_KEY *eckey);
int ossl_ecdsa_simple_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
BIGNUM **rp);
ECDSA_SIG *ossl_ecdsa_simple_sign_sig(const unsigned char *dgst, int dgst_len,
const BIGNUM *in_kinv, const BIGNUM *in_r,
EC_KEY *eckey);
int ossl_ecdsa_simple_verify_sig(const unsigned char *dgst, int dgst_len,
const ECDSA_SIG *sig, EC_KEY *eckey);
/*-
* This functions computes a single point multiplication over the EC group,
* using, at a high level, a Montgomery ladder with conditional swaps, with
* various timing attack defenses.
*
* It performs either a fixed point multiplication
* (scalar * generator)
* when point is NULL, or a variable point multiplication
* (scalar * point)
* when point is not NULL.
*
* `scalar` cannot be NULL and should be in the range [0,n) otherwise all
* constant time bets are off (where n is the cardinality of the EC group).
*
* This function expects `group->order` and `group->cardinality` to be well
* defined and non-zero: it fails with an error code otherwise.
*
* NB: This says nothing about the constant-timeness of the ladder step
* implementation (i.e., the default implementation is based on EC_POINT_add and
* EC_POINT_dbl, which of course are not constant time themselves) or the
* underlying multiprecision arithmetic.
*
* The product is stored in `r`.
*
* This is an internal function: callers are in charge of ensuring that the
* input parameters `group`, `r`, `scalar` and `ctx` are not NULL.
*
* Returns 1 on success, 0 otherwise.
*/
int ossl_ec_scalar_mul_ladder(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar, const EC_POINT *point,
BN_CTX *ctx);
int ossl_ec_point_blind_coordinates(const EC_GROUP *group, EC_POINT *p,
BN_CTX *ctx);
static ossl_inline int ec_point_ladder_pre(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx)
{
if (group->meth->ladder_pre != NULL)
return group->meth->ladder_pre(group, r, s, p, ctx);
if (!EC_POINT_copy(s, p)
|| !EC_POINT_dbl(group, r, s, ctx))
return 0;
return 1;
}
static ossl_inline int ec_point_ladder_step(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx)
{
if (group->meth->ladder_step != NULL)
return group->meth->ladder_step(group, r, s, p, ctx);
if (!EC_POINT_add(group, s, r, s, ctx)
|| !EC_POINT_dbl(group, r, r, ctx))
return 0;
return 1;
}
static ossl_inline int ec_point_ladder_post(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx)
{
if (group->meth->ladder_post != NULL)
return group->meth->ladder_post(group, r, s, p, ctx);
return 1;
}
|
./openssl/crypto/ec/ecp_sm2p256.c | /*
* Copyright 2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
*/
/*
* SM2 low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <string.h>
#include <openssl/err.h>
#include "crypto/bn.h"
#include "ec_local.h"
#include "internal/common.h"
#include "internal/constant_time.h"
#define P256_LIMBS (256 / BN_BITS2)
#if !defined(OPENSSL_NO_SM2_PRECOMP)
extern const BN_ULONG ecp_sm2p256_precomputed[8 * 32 * 256];
#endif
typedef struct {
BN_ULONG X[P256_LIMBS];
BN_ULONG Y[P256_LIMBS];
BN_ULONG Z[P256_LIMBS];
} P256_POINT;
typedef struct {
BN_ULONG X[P256_LIMBS];
BN_ULONG Y[P256_LIMBS];
} P256_POINT_AFFINE;
#if !defined(OPENSSL_NO_SM2_PRECOMP)
/* Coordinates of G, for which we have precomputed tables */
ALIGN32 static const BN_ULONG def_xG[P256_LIMBS] = {
0x715a4589334c74c7, 0x8fe30bbff2660be1,
0x5f9904466a39c994, 0x32c4ae2c1f198119
};
ALIGN32 static const BN_ULONG def_yG[P256_LIMBS] = {
0x02df32e52139f0a0, 0xd0a9877cc62a4740,
0x59bdcee36b692153, 0xbc3736a2f4f6779c,
};
#endif
/* p and order for SM2 according to GB/T 32918.5-2017 */
ALIGN32 static const BN_ULONG def_p[P256_LIMBS] = {
0xffffffffffffffff, 0xffffffff00000000,
0xffffffffffffffff, 0xfffffffeffffffff
};
ALIGN32 static const BN_ULONG def_ord[P256_LIMBS] = {
0x53bbf40939d54123, 0x7203df6b21c6052b,
0xffffffffffffffff, 0xfffffffeffffffff
};
ALIGN32 static const BN_ULONG ONE[P256_LIMBS] = {1, 0, 0, 0};
/* Functions implemented in assembly */
/*
* Most of below mentioned functions *preserve* the property of inputs
* being fully reduced, i.e. being in [0, modulus) range. Simply put if
* inputs are fully reduced, then output is too.
*/
/* Right shift: a >> 1 */
void bn_rshift1(BN_ULONG *a);
/* Sub: r = a - b */
void bn_sub(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b);
/* Modular div by 2: r = a / 2 mod p */
void ecp_sm2p256_div_by_2(BN_ULONG *r, const BN_ULONG *a);
/* Modular div by 2: r = a / 2 mod n, where n = ord(p) */
void ecp_sm2p256_div_by_2_mod_ord(BN_ULONG *r, const BN_ULONG *a);
/* Modular add: r = a + b mod p */
void ecp_sm2p256_add(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b);
/* Modular sub: r = a - b mod p */
void ecp_sm2p256_sub(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b);
/* Modular sub: r = a - b mod n, where n = ord(p) */
void ecp_sm2p256_sub_mod_ord(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b);
/* Modular mul by 3: out = 3 * a mod p */
void ecp_sm2p256_mul_by_3(BN_ULONG *r, const BN_ULONG *a);
/* Modular mul: r = a * b mod p */
void ecp_sm2p256_mul(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b);
/* Modular sqr: r = a ^ 2 mod p */
void ecp_sm2p256_sqr(BN_ULONG *r, const BN_ULONG *a);
static ossl_inline BN_ULONG is_zeros(const BN_ULONG *a)
{
BN_ULONG res;
res = a[0] | a[1] | a[2] | a[3];
return constant_time_is_zero_64(res);
}
static ossl_inline int is_equal(const BN_ULONG *a, const BN_ULONG *b)
{
BN_ULONG res;
res = a[0] ^ b[0];
res |= a[1] ^ b[1];
res |= a[2] ^ b[2];
res |= a[3] ^ b[3];
return constant_time_is_zero_64(res);
}
static ossl_inline int is_greater(const BN_ULONG *a, const BN_ULONG *b)
{
int i;
for (i = P256_LIMBS - 1; i >= 0; --i) {
if (a[i] > b[i])
return 1;
if (a[i] < b[i])
return -1;
}
return 0;
}
#define is_one(a) is_equal(a, ONE)
#define is_even(a) !(a[0] & 1)
#define is_point_equal(a, b) \
is_equal(a->X, b->X) && \
is_equal(a->Y, b->Y) && \
is_equal(a->Z, b->Z)
/* Bignum and field elements conversion */
#define ecp_sm2p256_bignum_field_elem(out, in) \
bn_copy_words(out, in, P256_LIMBS)
/* Binary algorithm for inversion in Fp */
#define BN_MOD_INV(out, in, mod_div, mod_sub, mod) \
do { \
ALIGN32 BN_ULONG u[4]; \
ALIGN32 BN_ULONG v[4]; \
ALIGN32 BN_ULONG x1[4] = {1, 0, 0, 0}; \
ALIGN32 BN_ULONG x2[4] = {0}; \
\
if (is_zeros(in)) \
return; \
memcpy(u, in, 32); \
memcpy(v, mod, 32); \
while (!is_one(u) && !is_one(v)) { \
while (is_even(u)) { \
bn_rshift1(u); \
mod_div(x1, x1); \
} \
while (is_even(v)) { \
bn_rshift1(v); \
mod_div(x2, x2); \
} \
if (is_greater(u, v) == 1) { \
bn_sub(u, u, v); \
mod_sub(x1, x1, x2); \
} else { \
bn_sub(v, v, u); \
mod_sub(x2, x2, x1); \
} \
} \
if (is_one(u)) \
memcpy(out, x1, 32); \
else \
memcpy(out, x2, 32); \
} while (0)
/* Modular inverse |out| = |in|^(-1) mod |p|. */
static ossl_inline void ecp_sm2p256_mod_inverse(BN_ULONG* out,
const BN_ULONG* in) {
BN_MOD_INV(out, in, ecp_sm2p256_div_by_2, ecp_sm2p256_sub, def_p);
}
/* Modular inverse mod order |out| = |in|^(-1) % |ord|. */
static ossl_inline void ecp_sm2p256_mod_ord_inverse(BN_ULONG* out,
const BN_ULONG* in) {
BN_MOD_INV(out, in, ecp_sm2p256_div_by_2_mod_ord, ecp_sm2p256_sub_mod_ord,
def_ord);
}
/* Point double: R <- P + P */
static void ecp_sm2p256_point_double(P256_POINT *R, const P256_POINT *P)
{
unsigned int i;
ALIGN32 BN_ULONG tmp0[P256_LIMBS];
ALIGN32 BN_ULONG tmp1[P256_LIMBS];
ALIGN32 BN_ULONG tmp2[P256_LIMBS];
/* zero-check P->Z */
if (is_zeros(P->Z)) {
for (i = 0; i < P256_LIMBS; ++i)
R->Z[i] = 0;
return;
}
ecp_sm2p256_sqr(tmp0, P->Z);
ecp_sm2p256_sub(tmp1, P->X, tmp0);
ecp_sm2p256_add(tmp0, P->X, tmp0);
ecp_sm2p256_mul(tmp1, tmp1, tmp0);
ecp_sm2p256_mul_by_3(tmp1, tmp1);
ecp_sm2p256_add(R->Y, P->Y, P->Y);
ecp_sm2p256_mul(R->Z, R->Y, P->Z);
ecp_sm2p256_sqr(R->Y, R->Y);
ecp_sm2p256_mul(tmp2, R->Y, P->X);
ecp_sm2p256_sqr(R->Y, R->Y);
ecp_sm2p256_div_by_2(R->Y, R->Y);
ecp_sm2p256_sqr(R->X, tmp1);
ecp_sm2p256_add(tmp0, tmp2, tmp2);
ecp_sm2p256_sub(R->X, R->X, tmp0);
ecp_sm2p256_sub(tmp0, tmp2, R->X);
ecp_sm2p256_mul(tmp0, tmp0, tmp1);
ecp_sm2p256_sub(tmp1, tmp0, R->Y);
memcpy(R->Y, tmp1, 32);
}
/* Point add affine: R <- P + Q */
static void ecp_sm2p256_point_add_affine(P256_POINT *R, const P256_POINT *P,
const P256_POINT_AFFINE *Q)
{
unsigned int i;
ALIGN32 BN_ULONG tmp0[P256_LIMBS] = {0};
ALIGN32 BN_ULONG tmp1[P256_LIMBS] = {0};
ALIGN32 BN_ULONG tmp2[P256_LIMBS] = {0};
ALIGN32 BN_ULONG tmp3[P256_LIMBS] = {0};
/* zero-check P->Z */
if (is_zeros(P->Z)) {
for (i = 0; i < P256_LIMBS; ++i) {
R->X[i] = Q->X[i];
R->Y[i] = Q->Y[i];
R->Z[i] = 0;
}
R->Z[0] = 1;
return;
}
ecp_sm2p256_sqr(tmp0, P->Z);
ecp_sm2p256_mul(tmp1, tmp0, P->Z);
ecp_sm2p256_mul(tmp0, tmp0, Q->X);
ecp_sm2p256_mul(tmp1, tmp1, Q->Y);
ecp_sm2p256_sub(tmp0, tmp0, P->X);
ecp_sm2p256_sub(tmp1, tmp1, P->Y);
/* zero-check tmp0, tmp1 */
if (is_zeros(tmp0)) {
if (is_zeros(tmp1)) {
P256_POINT K;
for (i = 0; i < P256_LIMBS; ++i) {
K.X[i] = Q->X[i];
K.Y[i] = Q->Y[i];
K.Z[i] = 0;
}
K.Z[0] = 1;
ecp_sm2p256_point_double(R, &K);
} else {
for (i = 0; i < P256_LIMBS; ++i)
R->Z[i] = 0;
}
return;
}
ecp_sm2p256_mul(R->Z, P->Z, tmp0);
ecp_sm2p256_sqr(tmp2, tmp0);
ecp_sm2p256_mul(tmp3, tmp2, tmp0);
ecp_sm2p256_mul(tmp2, tmp2, P->X);
ecp_sm2p256_add(tmp0, tmp2, tmp2);
ecp_sm2p256_sqr(R->X, tmp1);
ecp_sm2p256_sub(R->X, R->X, tmp0);
ecp_sm2p256_sub(R->X, R->X, tmp3);
ecp_sm2p256_sub(tmp2, tmp2, R->X);
ecp_sm2p256_mul(tmp2, tmp2, tmp1);
ecp_sm2p256_mul(tmp3, tmp3, P->Y);
ecp_sm2p256_sub(R->Y, tmp2, tmp3);
}
/* Point add: R <- P + Q */
static void ecp_sm2p256_point_add(P256_POINT *R, const P256_POINT *P,
const P256_POINT *Q)
{
unsigned int i;
ALIGN32 BN_ULONG tmp0[P256_LIMBS] = {0};
ALIGN32 BN_ULONG tmp1[P256_LIMBS] = {0};
ALIGN32 BN_ULONG tmp2[P256_LIMBS] = {0};
/* zero-check P | Q ->Z */
if (is_zeros(P->Z)) {
for (i = 0; i < P256_LIMBS; ++i) {
R->X[i] = Q->X[i];
R->Y[i] = Q->Y[i];
R->Z[i] = Q->Z[i];
}
return;
} else if (is_zeros(Q->Z)) {
for (i = 0; i < P256_LIMBS; ++i) {
R->X[i] = P->X[i];
R->Y[i] = P->Y[i];
R->Z[i] = P->Z[i];
}
return;
} else if (is_point_equal(P, Q)) {
ecp_sm2p256_point_double(R, Q);
return;
}
ecp_sm2p256_sqr(tmp0, P->Z);
ecp_sm2p256_mul(tmp1, tmp0, P->Z);
ecp_sm2p256_mul(tmp0, tmp0, Q->X);
ecp_sm2p256_mul(tmp1, tmp1, Q->Y);
ecp_sm2p256_mul(R->Y, P->Y, Q->Z);
ecp_sm2p256_mul(R->Z, Q->Z, P->Z);
ecp_sm2p256_sqr(tmp2, Q->Z);
ecp_sm2p256_mul(R->Y, tmp2, R->Y);
ecp_sm2p256_mul(R->X, tmp2, P->X);
ecp_sm2p256_sub(tmp0, tmp0, R->X);
ecp_sm2p256_mul(R->Z, tmp0, R->Z);
ecp_sm2p256_sub(tmp1, tmp1, R->Y);
ecp_sm2p256_sqr(tmp2, tmp0);
ecp_sm2p256_mul(tmp0, tmp0, tmp2);
ecp_sm2p256_mul(tmp2, tmp2, R->X);
ecp_sm2p256_sqr(R->X, tmp1);
ecp_sm2p256_sub(R->X, R->X, tmp2);
ecp_sm2p256_sub(R->X, R->X, tmp2);
ecp_sm2p256_sub(R->X, R->X, tmp0);
ecp_sm2p256_sub(tmp2, tmp2, R->X);
ecp_sm2p256_mul(tmp2, tmp1, tmp2);
ecp_sm2p256_mul(tmp0, tmp0, R->Y);
ecp_sm2p256_sub(R->Y, tmp2, tmp0);
}
#if !defined(OPENSSL_NO_SM2_PRECOMP)
/* Base point mul by scalar: k - scalar, G - base point */
static void ecp_sm2p256_point_G_mul_by_scalar(P256_POINT *R, const BN_ULONG *k)
{
unsigned int i, index, mask = 0xff;
P256_POINT_AFFINE Q;
memset(R, 0, sizeof(P256_POINT));
if (is_zeros(k))
return;
index = k[0] & mask;
if (index) {
index = index * 8;
memcpy(R->X, ecp_sm2p256_precomputed + index, 32);
memcpy(R->Y, ecp_sm2p256_precomputed + index + P256_LIMBS, 32);
R->Z[0] = 1;
}
for (i = 1; i < 32; ++i) {
index = (k[i / 8] >> (8 * (i % 8))) & mask;
if (index) {
index = index + i * 256;
index = index * 8;
memcpy(Q.X, ecp_sm2p256_precomputed + index, 32);
memcpy(Q.Y, ecp_sm2p256_precomputed + index + P256_LIMBS, 32);
ecp_sm2p256_point_add_affine(R, R, &Q);
}
}
}
#endif
/*
* Affine point mul by scalar: k - scalar, P - affine point
*/
static void ecp_sm2p256_point_P_mul_by_scalar(P256_POINT *R, const BN_ULONG *k,
P256_POINT_AFFINE P)
{
int i, init = 0;
unsigned int index, mask = 0x0f;
ALIGN64 P256_POINT precomputed[16];
memset(R, 0, sizeof(P256_POINT));
if (is_zeros(k))
return;
/* The first value of the precomputed table is P. */
memcpy(precomputed[1].X, P.X, 32);
memcpy(precomputed[1].Y, P.Y, 32);
precomputed[1].Z[0] = 1;
precomputed[1].Z[1] = 0;
precomputed[1].Z[2] = 0;
precomputed[1].Z[3] = 0;
/* The second value of the precomputed table is 2P. */
ecp_sm2p256_point_double(&precomputed[2], &precomputed[1]);
/* The subsequent elements are 3P, 4P, and so on. */
for (i = 3; i < 16; ++i)
ecp_sm2p256_point_add_affine(&precomputed[i], &precomputed[i - 1], &P);
for (i = 64 - 1; i >= 0; --i) {
index = (k[i / 16] >> (4 * (i % 16))) & mask;
if (init == 0) {
if (index) {
memcpy(R, &precomputed[index], sizeof(P256_POINT));
init = 1;
}
} else {
ecp_sm2p256_point_double(R, R);
ecp_sm2p256_point_double(R, R);
ecp_sm2p256_point_double(R, R);
ecp_sm2p256_point_double(R, R);
if (index)
ecp_sm2p256_point_add(R, R, &precomputed[index]);
}
}
}
/* Get affine point */
static void ecp_sm2p256_point_get_affine(P256_POINT_AFFINE *R,
const P256_POINT *P)
{
ALIGN32 BN_ULONG z_inv3[P256_LIMBS] = {0};
ALIGN32 BN_ULONG z_inv2[P256_LIMBS] = {0};
if (is_one(P->Z)) {
memcpy(R->X, P->X, 32);
memcpy(R->Y, P->Y, 32);
return;
}
ecp_sm2p256_mod_inverse(z_inv3, P->Z);
ecp_sm2p256_sqr(z_inv2, z_inv3);
ecp_sm2p256_mul(R->X, P->X, z_inv2);
ecp_sm2p256_mul(z_inv3, z_inv3, z_inv2);
ecp_sm2p256_mul(R->Y, P->Y, z_inv3);
}
#if !defined(OPENSSL_NO_SM2_PRECOMP)
static int ecp_sm2p256_is_affine_G(const EC_POINT *generator)
{
return (bn_get_top(generator->X) == P256_LIMBS)
&& (bn_get_top(generator->Y) == P256_LIMBS)
&& is_equal(bn_get_words(generator->X), def_xG)
&& is_equal(bn_get_words(generator->Y), def_yG)
&& (generator->Z_is_one == 1);
}
#endif
/*
* Convert Jacobian coordinate point into affine coordinate (x,y)
*/
static int ecp_sm2p256_get_affine(const EC_GROUP *group,
const EC_POINT *point,
BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
{
ALIGN32 BN_ULONG z_inv2[P256_LIMBS] = {0};
ALIGN32 BN_ULONG z_inv3[P256_LIMBS] = {0};
ALIGN32 BN_ULONG x_aff[P256_LIMBS] = {0};
ALIGN32 BN_ULONG y_aff[P256_LIMBS] = {0};
ALIGN32 BN_ULONG point_x[P256_LIMBS] = {0};
ALIGN32 BN_ULONG point_y[P256_LIMBS] = {0};
ALIGN32 BN_ULONG point_z[P256_LIMBS] = {0};
if (EC_POINT_is_at_infinity(group, point)) {
ECerr(ERR_LIB_EC, EC_R_POINT_AT_INFINITY);
return 0;
}
if (ecp_sm2p256_bignum_field_elem(point_x, point->X) <= 0
|| ecp_sm2p256_bignum_field_elem(point_y, point->Y) <= 0
|| ecp_sm2p256_bignum_field_elem(point_z, point->Z) <= 0) {
ECerr(ERR_LIB_EC, EC_R_COORDINATES_OUT_OF_RANGE);
return 0;
}
ecp_sm2p256_mod_inverse(z_inv3, point_z);
ecp_sm2p256_sqr(z_inv2, z_inv3);
if (x != NULL) {
ecp_sm2p256_mul(x_aff, point_x, z_inv2);
if (!bn_set_words(x, x_aff, P256_LIMBS))
return 0;
}
if (y != NULL) {
ecp_sm2p256_mul(z_inv3, z_inv3, z_inv2);
ecp_sm2p256_mul(y_aff, point_y, z_inv3);
if (!bn_set_words(y, y_aff, P256_LIMBS))
return 0;
}
return 1;
}
/* r = sum(scalar[i]*point[i]) */
static int ecp_sm2p256_windowed_mul(const EC_GROUP *group,
P256_POINT *r,
const BIGNUM **scalar,
const EC_POINT **point,
size_t num, BN_CTX *ctx)
{
unsigned int i;
int ret = 0;
const BIGNUM **scalars = NULL;
ALIGN32 BN_ULONG k[P256_LIMBS] = {0};
P256_POINT kP;
ALIGN32 union {
P256_POINT p;
P256_POINT_AFFINE a;
} t, p;
if (num > OPENSSL_MALLOC_MAX_NELEMS(P256_POINT)
|| (scalars = OPENSSL_malloc(num * sizeof(BIGNUM *))) == NULL) {
ECerr(ERR_LIB_EC, ERR_R_MALLOC_FAILURE);
goto err;
}
memset(r, 0, sizeof(P256_POINT));
for (i = 0; i < num; i++) {
if (EC_POINT_is_at_infinity(group, point[i]))
continue;
if ((BN_num_bits(scalar[i]) > 256) || BN_is_negative(scalar[i])) {
BIGNUM *tmp;
if ((tmp = BN_CTX_get(ctx)) == NULL)
goto err;
if (!BN_nnmod(tmp, scalar[i], group->order, ctx)) {
ECerr(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
scalars[i] = tmp;
} else {
scalars[i] = scalar[i];
}
if (ecp_sm2p256_bignum_field_elem(k, scalars[i]) <= 0
|| ecp_sm2p256_bignum_field_elem(p.p.X, point[i]->X) <= 0
|| ecp_sm2p256_bignum_field_elem(p.p.Y, point[i]->Y) <= 0
|| ecp_sm2p256_bignum_field_elem(p.p.Z, point[i]->Z) <= 0) {
ECerr(ERR_LIB_EC, EC_R_COORDINATES_OUT_OF_RANGE);
goto err;
}
ecp_sm2p256_point_get_affine(&t.a, &p.p);
ecp_sm2p256_point_P_mul_by_scalar(&kP, k, t.a);
ecp_sm2p256_point_add(r, r, &kP);
}
ret = 1;
err:
OPENSSL_free(scalars);
return ret;
}
/* r = scalar*G + sum(scalars[i]*points[i]) */
static int ecp_sm2p256_points_mul(const EC_GROUP *group,
EC_POINT *r,
const BIGNUM *scalar,
size_t num,
const EC_POINT *points[],
const BIGNUM *scalars[], BN_CTX *ctx)
{
int ret = 0, p_is_infinity = 0;
const EC_POINT *generator = NULL;
ALIGN32 BN_ULONG k[P256_LIMBS] = {0};
ALIGN32 union {
P256_POINT p;
P256_POINT_AFFINE a;
} t, p;
if ((num + 1) == 0 || (num + 1) > OPENSSL_MALLOC_MAX_NELEMS(void *)) {
ECerr(ERR_LIB_EC, ERR_R_MALLOC_FAILURE);
goto err;
}
BN_CTX_start(ctx);
if (scalar) {
generator = EC_GROUP_get0_generator(group);
if (generator == NULL) {
ECerr(ERR_LIB_EC, EC_R_UNDEFINED_GENERATOR);
goto err;
}
if (!ecp_sm2p256_bignum_field_elem(k, scalar)) {
ECerr(ERR_LIB_EC, EC_R_COORDINATES_OUT_OF_RANGE);
goto err;
}
#if !defined(OPENSSL_NO_SM2_PRECOMP)
if (ecp_sm2p256_is_affine_G(generator)) {
ecp_sm2p256_point_G_mul_by_scalar(&p.p, k);
} else
#endif
{
/* if no precomputed table */
const EC_POINT *new_generator[1];
const BIGNUM *g_scalars[1];
new_generator[0] = generator;
g_scalars[0] = scalar;
if (!ecp_sm2p256_windowed_mul(group, &p.p, g_scalars, new_generator,
(new_generator[0] != NULL
&& g_scalars[0] != NULL), ctx))
goto err;
}
} else {
p_is_infinity = 1;
}
if (num) {
P256_POINT *out = &t.p;
if (p_is_infinity)
out = &p.p;
if (!ecp_sm2p256_windowed_mul(group, out, scalars, points, num, ctx))
goto err;
if (!p_is_infinity)
ecp_sm2p256_point_add(&p.p, &p.p, out);
}
/* Not constant-time, but we're only operating on the public output. */
if (!bn_set_words(r->X, p.p.X, P256_LIMBS)
|| !bn_set_words(r->Y, p.p.Y, P256_LIMBS)
|| !bn_set_words(r->Z, p.p.Z, P256_LIMBS))
goto err;
r->Z_is_one = is_equal(bn_get_words(r->Z), ONE) & 1;
ret = 1;
err:
BN_CTX_end(ctx);
return ret;
}
static int ecp_sm2p256_field_mul(const EC_GROUP *group, BIGNUM *r,
const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
{
ALIGN32 BN_ULONG a_fe[P256_LIMBS] = {0};
ALIGN32 BN_ULONG b_fe[P256_LIMBS] = {0};
ALIGN32 BN_ULONG r_fe[P256_LIMBS] = {0};
if (a == NULL || b == NULL || r == NULL)
return 0;
if (!ecp_sm2p256_bignum_field_elem(a_fe, a)
|| !ecp_sm2p256_bignum_field_elem(b_fe, b)) {
ECerr(ERR_LIB_EC, EC_R_COORDINATES_OUT_OF_RANGE);
return 0;
}
ecp_sm2p256_mul(r_fe, a_fe, b_fe);
if (!bn_set_words(r, r_fe, P256_LIMBS))
return 0;
return 1;
}
static int ecp_sm2p256_field_sqr(const EC_GROUP *group, BIGNUM *r,
const BIGNUM *a, BN_CTX *ctx)
{
ALIGN32 BN_ULONG a_fe[P256_LIMBS] = {0};
ALIGN32 BN_ULONG r_fe[P256_LIMBS] = {0};
if (a == NULL || r == NULL)
return 0;
if (!ecp_sm2p256_bignum_field_elem(a_fe, a)) {
ECerr(ERR_LIB_EC, EC_R_COORDINATES_OUT_OF_RANGE);
return 0;
}
ecp_sm2p256_sqr(r_fe, a_fe);
if (!bn_set_words(r, r_fe, P256_LIMBS))
return 0;
return 1;
}
static int ecp_sm2p256_inv_mod_ord(const EC_GROUP *group, BIGNUM *r,
const BIGNUM *x, BN_CTX *ctx)
{
int ret = 0;
ALIGN32 BN_ULONG t[P256_LIMBS] = {0};
ALIGN32 BN_ULONG out[P256_LIMBS] = {0};
if (bn_wexpand(r, P256_LIMBS) == NULL) {
ECerr(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if ((BN_num_bits(x) > 256) || BN_is_negative(x)) {
BIGNUM *tmp;
if ((tmp = BN_CTX_get(ctx)) == NULL
|| !BN_nnmod(tmp, x, group->order, ctx)) {
ECerr(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
x = tmp;
}
if (!ecp_sm2p256_bignum_field_elem(t, x)) {
ECerr(ERR_LIB_EC, EC_R_COORDINATES_OUT_OF_RANGE);
goto err;
}
ecp_sm2p256_mod_ord_inverse(out, t);
if (!bn_set_words(r, out, P256_LIMBS))
goto err;
ret = 1;
err:
return ret;
}
const EC_METHOD *EC_GFp_sm2p256_method(void)
{
static const EC_METHOD ret = {
EC_FLAGS_DEFAULT_OCT,
NID_X9_62_prime_field,
ossl_ec_GFp_simple_group_init,
ossl_ec_GFp_simple_group_finish,
ossl_ec_GFp_simple_group_clear_finish,
ossl_ec_GFp_simple_group_copy,
ossl_ec_GFp_simple_group_set_curve,
ossl_ec_GFp_simple_group_get_curve,
ossl_ec_GFp_simple_group_get_degree,
ossl_ec_group_simple_order_bits,
ossl_ec_GFp_simple_group_check_discriminant,
ossl_ec_GFp_simple_point_init,
ossl_ec_GFp_simple_point_finish,
ossl_ec_GFp_simple_point_clear_finish,
ossl_ec_GFp_simple_point_copy,
ossl_ec_GFp_simple_point_set_to_infinity,
ossl_ec_GFp_simple_point_set_affine_coordinates,
ecp_sm2p256_get_affine,
0, 0, 0,
ossl_ec_GFp_simple_add,
ossl_ec_GFp_simple_dbl,
ossl_ec_GFp_simple_invert,
ossl_ec_GFp_simple_is_at_infinity,
ossl_ec_GFp_simple_is_on_curve,
ossl_ec_GFp_simple_cmp,
ossl_ec_GFp_simple_make_affine,
ossl_ec_GFp_simple_points_make_affine,
ecp_sm2p256_points_mul, /* mul */
0 /* precompute_mult */,
0 /* have_precompute_mult */,
ecp_sm2p256_field_mul,
ecp_sm2p256_field_sqr,
0 /* field_div */,
0 /* field_inv */,
0 /* field_encode */,
0 /* field_decode */,
0 /* field_set_to_one */,
ossl_ec_key_simple_priv2oct,
ossl_ec_key_simple_oct2priv,
0, /* set private */
ossl_ec_key_simple_generate_key,
ossl_ec_key_simple_check_key,
ossl_ec_key_simple_generate_public_key,
0, /* keycopy */
0, /* keyfinish */
ossl_ecdh_simple_compute_key,
ossl_ecdsa_simple_sign_setup,
ossl_ecdsa_simple_sign_sig,
ossl_ecdsa_simple_verify_sig,
ecp_sm2p256_inv_mod_ord,
0, /* blind_coordinates */
0, /* ladder_pre */
0, /* ladder_step */
0 /* ladder_post */
};
return &ret;
}
|
./openssl/crypto/ec/ecp_smpl.c | /*
* Copyright 2001-2022 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low-level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <openssl/err.h>
#include <openssl/symhacks.h>
#include "ec_local.h"
const EC_METHOD *EC_GFp_simple_method(void)
{
static const EC_METHOD ret = {
EC_FLAGS_DEFAULT_OCT,
NID_X9_62_prime_field,
ossl_ec_GFp_simple_group_init,
ossl_ec_GFp_simple_group_finish,
ossl_ec_GFp_simple_group_clear_finish,
ossl_ec_GFp_simple_group_copy,
ossl_ec_GFp_simple_group_set_curve,
ossl_ec_GFp_simple_group_get_curve,
ossl_ec_GFp_simple_group_get_degree,
ossl_ec_group_simple_order_bits,
ossl_ec_GFp_simple_group_check_discriminant,
ossl_ec_GFp_simple_point_init,
ossl_ec_GFp_simple_point_finish,
ossl_ec_GFp_simple_point_clear_finish,
ossl_ec_GFp_simple_point_copy,
ossl_ec_GFp_simple_point_set_to_infinity,
ossl_ec_GFp_simple_point_set_affine_coordinates,
ossl_ec_GFp_simple_point_get_affine_coordinates,
0, 0, 0,
ossl_ec_GFp_simple_add,
ossl_ec_GFp_simple_dbl,
ossl_ec_GFp_simple_invert,
ossl_ec_GFp_simple_is_at_infinity,
ossl_ec_GFp_simple_is_on_curve,
ossl_ec_GFp_simple_cmp,
ossl_ec_GFp_simple_make_affine,
ossl_ec_GFp_simple_points_make_affine,
0 /* mul */ ,
0 /* precompute_mult */ ,
0 /* have_precompute_mult */ ,
ossl_ec_GFp_simple_field_mul,
ossl_ec_GFp_simple_field_sqr,
0 /* field_div */ ,
ossl_ec_GFp_simple_field_inv,
0 /* field_encode */ ,
0 /* field_decode */ ,
0, /* field_set_to_one */
ossl_ec_key_simple_priv2oct,
ossl_ec_key_simple_oct2priv,
0, /* set private */
ossl_ec_key_simple_generate_key,
ossl_ec_key_simple_check_key,
ossl_ec_key_simple_generate_public_key,
0, /* keycopy */
0, /* keyfinish */
ossl_ecdh_simple_compute_key,
ossl_ecdsa_simple_sign_setup,
ossl_ecdsa_simple_sign_sig,
ossl_ecdsa_simple_verify_sig,
0, /* field_inverse_mod_ord */
ossl_ec_GFp_simple_blind_coordinates,
ossl_ec_GFp_simple_ladder_pre,
ossl_ec_GFp_simple_ladder_step,
ossl_ec_GFp_simple_ladder_post
};
return &ret;
}
/*
* Most method functions in this file are designed to work with
* non-trivial representations of field elements if necessary
* (see ecp_mont.c): while standard modular addition and subtraction
* are used, the field_mul and field_sqr methods will be used for
* multiplication, and field_encode and field_decode (if defined)
* will be used for converting between representations.
*
* Functions ec_GFp_simple_points_make_affine() and
* ec_GFp_simple_point_get_affine_coordinates() specifically assume
* that if a non-trivial representation is used, it is a Montgomery
* representation (i.e. 'encoding' means multiplying by some factor R).
*/
int ossl_ec_GFp_simple_group_init(EC_GROUP *group)
{
group->field = BN_new();
group->a = BN_new();
group->b = BN_new();
if (group->field == NULL || group->a == NULL || group->b == NULL) {
BN_free(group->field);
BN_free(group->a);
BN_free(group->b);
return 0;
}
group->a_is_minus3 = 0;
return 1;
}
void ossl_ec_GFp_simple_group_finish(EC_GROUP *group)
{
BN_free(group->field);
BN_free(group->a);
BN_free(group->b);
}
void ossl_ec_GFp_simple_group_clear_finish(EC_GROUP *group)
{
BN_clear_free(group->field);
BN_clear_free(group->a);
BN_clear_free(group->b);
}
int ossl_ec_GFp_simple_group_copy(EC_GROUP *dest, const EC_GROUP *src)
{
if (!BN_copy(dest->field, src->field))
return 0;
if (!BN_copy(dest->a, src->a))
return 0;
if (!BN_copy(dest->b, src->b))
return 0;
dest->a_is_minus3 = src->a_is_minus3;
return 1;
}
int ossl_ec_GFp_simple_group_set_curve(EC_GROUP *group,
const BIGNUM *p, const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx)
{
int ret = 0;
BN_CTX *new_ctx = NULL;
BIGNUM *tmp_a;
/* p must be a prime > 3 */
if (BN_num_bits(p) <= 2 || !BN_is_odd(p)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_FIELD);
return 0;
}
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
return 0;
}
BN_CTX_start(ctx);
tmp_a = BN_CTX_get(ctx);
if (tmp_a == NULL)
goto err;
/* group->field */
if (!BN_copy(group->field, p))
goto err;
BN_set_negative(group->field, 0);
/* group->a */
if (!BN_nnmod(tmp_a, a, p, ctx))
goto err;
if (group->meth->field_encode != NULL) {
if (!group->meth->field_encode(group, group->a, tmp_a, ctx))
goto err;
} else if (!BN_copy(group->a, tmp_a))
goto err;
/* group->b */
if (!BN_nnmod(group->b, b, p, ctx))
goto err;
if (group->meth->field_encode != NULL)
if (!group->meth->field_encode(group, group->b, group->b, ctx))
goto err;
/* group->a_is_minus3 */
if (!BN_add_word(tmp_a, 3))
goto err;
group->a_is_minus3 = (0 == BN_cmp(tmp_a, group->field));
ret = 1;
err:
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return ret;
}
int ossl_ec_GFp_simple_group_get_curve(const EC_GROUP *group, BIGNUM *p,
BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
{
int ret = 0;
BN_CTX *new_ctx = NULL;
if (p != NULL) {
if (!BN_copy(p, group->field))
return 0;
}
if (a != NULL || b != NULL) {
if (group->meth->field_decode != NULL) {
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
return 0;
}
if (a != NULL) {
if (!group->meth->field_decode(group, a, group->a, ctx))
goto err;
}
if (b != NULL) {
if (!group->meth->field_decode(group, b, group->b, ctx))
goto err;
}
} else {
if (a != NULL) {
if (!BN_copy(a, group->a))
goto err;
}
if (b != NULL) {
if (!BN_copy(b, group->b))
goto err;
}
}
}
ret = 1;
err:
BN_CTX_free(new_ctx);
return ret;
}
int ossl_ec_GFp_simple_group_get_degree(const EC_GROUP *group)
{
return BN_num_bits(group->field);
}
int ossl_ec_GFp_simple_group_check_discriminant(const EC_GROUP *group,
BN_CTX *ctx)
{
int ret = 0;
BIGNUM *a, *b, *order, *tmp_1, *tmp_2;
const BIGNUM *p = group->field;
BN_CTX *new_ctx = NULL;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
}
BN_CTX_start(ctx);
a = BN_CTX_get(ctx);
b = BN_CTX_get(ctx);
tmp_1 = BN_CTX_get(ctx);
tmp_2 = BN_CTX_get(ctx);
order = BN_CTX_get(ctx);
if (order == NULL)
goto err;
if (group->meth->field_decode != NULL) {
if (!group->meth->field_decode(group, a, group->a, ctx))
goto err;
if (!group->meth->field_decode(group, b, group->b, ctx))
goto err;
} else {
if (!BN_copy(a, group->a))
goto err;
if (!BN_copy(b, group->b))
goto err;
}
/*-
* check the discriminant:
* y^2 = x^3 + a*x + b is an elliptic curve <=> 4*a^3 + 27*b^2 != 0 (mod p)
* 0 =< a, b < p
*/
if (BN_is_zero(a)) {
if (BN_is_zero(b))
goto err;
} else if (!BN_is_zero(b)) {
if (!BN_mod_sqr(tmp_1, a, p, ctx))
goto err;
if (!BN_mod_mul(tmp_2, tmp_1, a, p, ctx))
goto err;
if (!BN_lshift(tmp_1, tmp_2, 2))
goto err;
/* tmp_1 = 4*a^3 */
if (!BN_mod_sqr(tmp_2, b, p, ctx))
goto err;
if (!BN_mul_word(tmp_2, 27))
goto err;
/* tmp_2 = 27*b^2 */
if (!BN_mod_add(a, tmp_1, tmp_2, p, ctx))
goto err;
if (BN_is_zero(a))
goto err;
}
ret = 1;
err:
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return ret;
}
int ossl_ec_GFp_simple_point_init(EC_POINT *point)
{
point->X = BN_new();
point->Y = BN_new();
point->Z = BN_new();
point->Z_is_one = 0;
if (point->X == NULL || point->Y == NULL || point->Z == NULL) {
BN_free(point->X);
BN_free(point->Y);
BN_free(point->Z);
return 0;
}
return 1;
}
void ossl_ec_GFp_simple_point_finish(EC_POINT *point)
{
BN_free(point->X);
BN_free(point->Y);
BN_free(point->Z);
}
void ossl_ec_GFp_simple_point_clear_finish(EC_POINT *point)
{
BN_clear_free(point->X);
BN_clear_free(point->Y);
BN_clear_free(point->Z);
point->Z_is_one = 0;
}
int ossl_ec_GFp_simple_point_copy(EC_POINT *dest, const EC_POINT *src)
{
if (!BN_copy(dest->X, src->X))
return 0;
if (!BN_copy(dest->Y, src->Y))
return 0;
if (!BN_copy(dest->Z, src->Z))
return 0;
dest->Z_is_one = src->Z_is_one;
dest->curve_name = src->curve_name;
return 1;
}
int ossl_ec_GFp_simple_point_set_to_infinity(const EC_GROUP *group,
EC_POINT *point)
{
point->Z_is_one = 0;
BN_zero(point->Z);
return 1;
}
int ossl_ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
EC_POINT *point,
const BIGNUM *x,
const BIGNUM *y,
const BIGNUM *z,
BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
int ret = 0;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
return 0;
}
if (x != NULL) {
if (!BN_nnmod(point->X, x, group->field, ctx))
goto err;
if (group->meth->field_encode) {
if (!group->meth->field_encode(group, point->X, point->X, ctx))
goto err;
}
}
if (y != NULL) {
if (!BN_nnmod(point->Y, y, group->field, ctx))
goto err;
if (group->meth->field_encode) {
if (!group->meth->field_encode(group, point->Y, point->Y, ctx))
goto err;
}
}
if (z != NULL) {
int Z_is_one;
if (!BN_nnmod(point->Z, z, group->field, ctx))
goto err;
Z_is_one = BN_is_one(point->Z);
if (group->meth->field_encode) {
if (Z_is_one && (group->meth->field_set_to_one != 0)) {
if (!group->meth->field_set_to_one(group, point->Z, ctx))
goto err;
} else {
if (!group->
meth->field_encode(group, point->Z, point->Z, ctx))
goto err;
}
}
point->Z_is_one = Z_is_one;
}
ret = 1;
err:
BN_CTX_free(new_ctx);
return ret;
}
int ossl_ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
const EC_POINT *point,
BIGNUM *x, BIGNUM *y,
BIGNUM *z, BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
int ret = 0;
if (group->meth->field_decode != NULL) {
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
return 0;
}
if (x != NULL) {
if (!group->meth->field_decode(group, x, point->X, ctx))
goto err;
}
if (y != NULL) {
if (!group->meth->field_decode(group, y, point->Y, ctx))
goto err;
}
if (z != NULL) {
if (!group->meth->field_decode(group, z, point->Z, ctx))
goto err;
}
} else {
if (x != NULL) {
if (!BN_copy(x, point->X))
goto err;
}
if (y != NULL) {
if (!BN_copy(y, point->Y))
goto err;
}
if (z != NULL) {
if (!BN_copy(z, point->Z))
goto err;
}
}
ret = 1;
err:
BN_CTX_free(new_ctx);
return ret;
}
int ossl_ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *group,
EC_POINT *point,
const BIGNUM *x,
const BIGNUM *y, BN_CTX *ctx)
{
if (x == NULL || y == NULL) {
/*
* unlike for projective coordinates, we do not tolerate this
*/
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
return EC_POINT_set_Jprojective_coordinates_GFp(group, point, x, y,
BN_value_one(), ctx);
}
int ossl_ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *group,
const EC_POINT *point,
BIGNUM *x, BIGNUM *y,
BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
BIGNUM *Z, *Z_1, *Z_2, *Z_3;
const BIGNUM *Z_;
int ret = 0;
if (EC_POINT_is_at_infinity(group, point)) {
ERR_raise(ERR_LIB_EC, EC_R_POINT_AT_INFINITY);
return 0;
}
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
return 0;
}
BN_CTX_start(ctx);
Z = BN_CTX_get(ctx);
Z_1 = BN_CTX_get(ctx);
Z_2 = BN_CTX_get(ctx);
Z_3 = BN_CTX_get(ctx);
if (Z_3 == NULL)
goto err;
/* transform (X, Y, Z) into (x, y) := (X/Z^2, Y/Z^3) */
if (group->meth->field_decode != NULL) {
if (!group->meth->field_decode(group, Z, point->Z, ctx))
goto err;
Z_ = Z;
} else {
Z_ = point->Z;
}
if (BN_is_one(Z_)) {
if (group->meth->field_decode != NULL) {
if (x != NULL) {
if (!group->meth->field_decode(group, x, point->X, ctx))
goto err;
}
if (y != NULL) {
if (!group->meth->field_decode(group, y, point->Y, ctx))
goto err;
}
} else {
if (x != NULL) {
if (!BN_copy(x, point->X))
goto err;
}
if (y != NULL) {
if (!BN_copy(y, point->Y))
goto err;
}
}
} else {
if (!group->meth->field_inv(group, Z_1, Z_, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if (group->meth->field_encode == NULL) {
/* field_sqr works on standard representation */
if (!group->meth->field_sqr(group, Z_2, Z_1, ctx))
goto err;
} else {
if (!BN_mod_sqr(Z_2, Z_1, group->field, ctx))
goto err;
}
if (x != NULL) {
/*
* in the Montgomery case, field_mul will cancel out Montgomery
* factor in X:
*/
if (!group->meth->field_mul(group, x, point->X, Z_2, ctx))
goto err;
}
if (y != NULL) {
if (group->meth->field_encode == NULL) {
/*
* field_mul works on standard representation
*/
if (!group->meth->field_mul(group, Z_3, Z_2, Z_1, ctx))
goto err;
} else {
if (!BN_mod_mul(Z_3, Z_2, Z_1, group->field, ctx))
goto err;
}
/*
* in the Montgomery case, field_mul will cancel out Montgomery
* factor in Y:
*/
if (!group->meth->field_mul(group, y, point->Y, Z_3, ctx))
goto err;
}
}
ret = 1;
err:
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return ret;
}
int ossl_ec_GFp_simple_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
const EC_POINT *b, BN_CTX *ctx)
{
int (*field_mul) (const EC_GROUP *, BIGNUM *, const BIGNUM *,
const BIGNUM *, BN_CTX *);
int (*field_sqr) (const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *);
const BIGNUM *p;
BN_CTX *new_ctx = NULL;
BIGNUM *n0, *n1, *n2, *n3, *n4, *n5, *n6;
int ret = 0;
if (a == b)
return EC_POINT_dbl(group, r, a, ctx);
if (EC_POINT_is_at_infinity(group, a))
return EC_POINT_copy(r, b);
if (EC_POINT_is_at_infinity(group, b))
return EC_POINT_copy(r, a);
field_mul = group->meth->field_mul;
field_sqr = group->meth->field_sqr;
p = group->field;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
return 0;
}
BN_CTX_start(ctx);
n0 = BN_CTX_get(ctx);
n1 = BN_CTX_get(ctx);
n2 = BN_CTX_get(ctx);
n3 = BN_CTX_get(ctx);
n4 = BN_CTX_get(ctx);
n5 = BN_CTX_get(ctx);
n6 = BN_CTX_get(ctx);
if (n6 == NULL)
goto end;
/*
* Note that in this function we must not read components of 'a' or 'b'
* once we have written the corresponding components of 'r'. ('r' might
* be one of 'a' or 'b'.)
*/
/* n1, n2 */
if (b->Z_is_one) {
if (!BN_copy(n1, a->X))
goto end;
if (!BN_copy(n2, a->Y))
goto end;
/* n1 = X_a */
/* n2 = Y_a */
} else {
if (!field_sqr(group, n0, b->Z, ctx))
goto end;
if (!field_mul(group, n1, a->X, n0, ctx))
goto end;
/* n1 = X_a * Z_b^2 */
if (!field_mul(group, n0, n0, b->Z, ctx))
goto end;
if (!field_mul(group, n2, a->Y, n0, ctx))
goto end;
/* n2 = Y_a * Z_b^3 */
}
/* n3, n4 */
if (a->Z_is_one) {
if (!BN_copy(n3, b->X))
goto end;
if (!BN_copy(n4, b->Y))
goto end;
/* n3 = X_b */
/* n4 = Y_b */
} else {
if (!field_sqr(group, n0, a->Z, ctx))
goto end;
if (!field_mul(group, n3, b->X, n0, ctx))
goto end;
/* n3 = X_b * Z_a^2 */
if (!field_mul(group, n0, n0, a->Z, ctx))
goto end;
if (!field_mul(group, n4, b->Y, n0, ctx))
goto end;
/* n4 = Y_b * Z_a^3 */
}
/* n5, n6 */
if (!BN_mod_sub_quick(n5, n1, n3, p))
goto end;
if (!BN_mod_sub_quick(n6, n2, n4, p))
goto end;
/* n5 = n1 - n3 */
/* n6 = n2 - n4 */
if (BN_is_zero(n5)) {
if (BN_is_zero(n6)) {
/* a is the same point as b */
BN_CTX_end(ctx);
ret = EC_POINT_dbl(group, r, a, ctx);
ctx = NULL;
goto end;
} else {
/* a is the inverse of b */
BN_zero(r->Z);
r->Z_is_one = 0;
ret = 1;
goto end;
}
}
/* 'n7', 'n8' */
if (!BN_mod_add_quick(n1, n1, n3, p))
goto end;
if (!BN_mod_add_quick(n2, n2, n4, p))
goto end;
/* 'n7' = n1 + n3 */
/* 'n8' = n2 + n4 */
/* Z_r */
if (a->Z_is_one && b->Z_is_one) {
if (!BN_copy(r->Z, n5))
goto end;
} else {
if (a->Z_is_one) {
if (!BN_copy(n0, b->Z))
goto end;
} else if (b->Z_is_one) {
if (!BN_copy(n0, a->Z))
goto end;
} else {
if (!field_mul(group, n0, a->Z, b->Z, ctx))
goto end;
}
if (!field_mul(group, r->Z, n0, n5, ctx))
goto end;
}
r->Z_is_one = 0;
/* Z_r = Z_a * Z_b * n5 */
/* X_r */
if (!field_sqr(group, n0, n6, ctx))
goto end;
if (!field_sqr(group, n4, n5, ctx))
goto end;
if (!field_mul(group, n3, n1, n4, ctx))
goto end;
if (!BN_mod_sub_quick(r->X, n0, n3, p))
goto end;
/* X_r = n6^2 - n5^2 * 'n7' */
/* 'n9' */
if (!BN_mod_lshift1_quick(n0, r->X, p))
goto end;
if (!BN_mod_sub_quick(n0, n3, n0, p))
goto end;
/* n9 = n5^2 * 'n7' - 2 * X_r */
/* Y_r */
if (!field_mul(group, n0, n0, n6, ctx))
goto end;
if (!field_mul(group, n5, n4, n5, ctx))
goto end; /* now n5 is n5^3 */
if (!field_mul(group, n1, n2, n5, ctx))
goto end;
if (!BN_mod_sub_quick(n0, n0, n1, p))
goto end;
if (BN_is_odd(n0))
if (!BN_add(n0, n0, p))
goto end;
/* now 0 <= n0 < 2*p, and n0 is even */
if (!BN_rshift1(r->Y, n0))
goto end;
/* Y_r = (n6 * 'n9' - 'n8' * 'n5^3') / 2 */
ret = 1;
end:
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return ret;
}
int ossl_ec_GFp_simple_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
BN_CTX *ctx)
{
int (*field_mul) (const EC_GROUP *, BIGNUM *, const BIGNUM *,
const BIGNUM *, BN_CTX *);
int (*field_sqr) (const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *);
const BIGNUM *p;
BN_CTX *new_ctx = NULL;
BIGNUM *n0, *n1, *n2, *n3;
int ret = 0;
if (EC_POINT_is_at_infinity(group, a)) {
BN_zero(r->Z);
r->Z_is_one = 0;
return 1;
}
field_mul = group->meth->field_mul;
field_sqr = group->meth->field_sqr;
p = group->field;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
return 0;
}
BN_CTX_start(ctx);
n0 = BN_CTX_get(ctx);
n1 = BN_CTX_get(ctx);
n2 = BN_CTX_get(ctx);
n3 = BN_CTX_get(ctx);
if (n3 == NULL)
goto err;
/*
* Note that in this function we must not read components of 'a' once we
* have written the corresponding components of 'r'. ('r' might the same
* as 'a'.)
*/
/* n1 */
if (a->Z_is_one) {
if (!field_sqr(group, n0, a->X, ctx))
goto err;
if (!BN_mod_lshift1_quick(n1, n0, p))
goto err;
if (!BN_mod_add_quick(n0, n0, n1, p))
goto err;
if (!BN_mod_add_quick(n1, n0, group->a, p))
goto err;
/* n1 = 3 * X_a^2 + a_curve */
} else if (group->a_is_minus3) {
if (!field_sqr(group, n1, a->Z, ctx))
goto err;
if (!BN_mod_add_quick(n0, a->X, n1, p))
goto err;
if (!BN_mod_sub_quick(n2, a->X, n1, p))
goto err;
if (!field_mul(group, n1, n0, n2, ctx))
goto err;
if (!BN_mod_lshift1_quick(n0, n1, p))
goto err;
if (!BN_mod_add_quick(n1, n0, n1, p))
goto err;
/*-
* n1 = 3 * (X_a + Z_a^2) * (X_a - Z_a^2)
* = 3 * X_a^2 - 3 * Z_a^4
*/
} else {
if (!field_sqr(group, n0, a->X, ctx))
goto err;
if (!BN_mod_lshift1_quick(n1, n0, p))
goto err;
if (!BN_mod_add_quick(n0, n0, n1, p))
goto err;
if (!field_sqr(group, n1, a->Z, ctx))
goto err;
if (!field_sqr(group, n1, n1, ctx))
goto err;
if (!field_mul(group, n1, n1, group->a, ctx))
goto err;
if (!BN_mod_add_quick(n1, n1, n0, p))
goto err;
/* n1 = 3 * X_a^2 + a_curve * Z_a^4 */
}
/* Z_r */
if (a->Z_is_one) {
if (!BN_copy(n0, a->Y))
goto err;
} else {
if (!field_mul(group, n0, a->Y, a->Z, ctx))
goto err;
}
if (!BN_mod_lshift1_quick(r->Z, n0, p))
goto err;
r->Z_is_one = 0;
/* Z_r = 2 * Y_a * Z_a */
/* n2 */
if (!field_sqr(group, n3, a->Y, ctx))
goto err;
if (!field_mul(group, n2, a->X, n3, ctx))
goto err;
if (!BN_mod_lshift_quick(n2, n2, 2, p))
goto err;
/* n2 = 4 * X_a * Y_a^2 */
/* X_r */
if (!BN_mod_lshift1_quick(n0, n2, p))
goto err;
if (!field_sqr(group, r->X, n1, ctx))
goto err;
if (!BN_mod_sub_quick(r->X, r->X, n0, p))
goto err;
/* X_r = n1^2 - 2 * n2 */
/* n3 */
if (!field_sqr(group, n0, n3, ctx))
goto err;
if (!BN_mod_lshift_quick(n3, n0, 3, p))
goto err;
/* n3 = 8 * Y_a^4 */
/* Y_r */
if (!BN_mod_sub_quick(n0, n2, r->X, p))
goto err;
if (!field_mul(group, n0, n1, n0, ctx))
goto err;
if (!BN_mod_sub_quick(r->Y, n0, n3, p))
goto err;
/* Y_r = n1 * (n2 - X_r) - n3 */
ret = 1;
err:
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return ret;
}
int ossl_ec_GFp_simple_invert(const EC_GROUP *group, EC_POINT *point,
BN_CTX *ctx)
{
if (EC_POINT_is_at_infinity(group, point) || BN_is_zero(point->Y))
/* point is its own inverse */
return 1;
return BN_usub(point->Y, group->field, point->Y);
}
int ossl_ec_GFp_simple_is_at_infinity(const EC_GROUP *group,
const EC_POINT *point)
{
return BN_is_zero(point->Z);
}
int ossl_ec_GFp_simple_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
BN_CTX *ctx)
{
int (*field_mul) (const EC_GROUP *, BIGNUM *, const BIGNUM *,
const BIGNUM *, BN_CTX *);
int (*field_sqr) (const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *);
const BIGNUM *p;
BN_CTX *new_ctx = NULL;
BIGNUM *rh, *tmp, *Z4, *Z6;
int ret = -1;
if (EC_POINT_is_at_infinity(group, point))
return 1;
field_mul = group->meth->field_mul;
field_sqr = group->meth->field_sqr;
p = group->field;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
return -1;
}
BN_CTX_start(ctx);
rh = BN_CTX_get(ctx);
tmp = BN_CTX_get(ctx);
Z4 = BN_CTX_get(ctx);
Z6 = BN_CTX_get(ctx);
if (Z6 == NULL)
goto err;
/*-
* We have a curve defined by a Weierstrass equation
* y^2 = x^3 + a*x + b.
* The point to consider is given in Jacobian projective coordinates
* where (X, Y, Z) represents (x, y) = (X/Z^2, Y/Z^3).
* Substituting this and multiplying by Z^6 transforms the above equation into
* Y^2 = X^3 + a*X*Z^4 + b*Z^6.
* To test this, we add up the right-hand side in 'rh'.
*/
/* rh := X^2 */
if (!field_sqr(group, rh, point->X, ctx))
goto err;
if (!point->Z_is_one) {
if (!field_sqr(group, tmp, point->Z, ctx))
goto err;
if (!field_sqr(group, Z4, tmp, ctx))
goto err;
if (!field_mul(group, Z6, Z4, tmp, ctx))
goto err;
/* rh := (rh + a*Z^4)*X */
if (group->a_is_minus3) {
if (!BN_mod_lshift1_quick(tmp, Z4, p))
goto err;
if (!BN_mod_add_quick(tmp, tmp, Z4, p))
goto err;
if (!BN_mod_sub_quick(rh, rh, tmp, p))
goto err;
if (!field_mul(group, rh, rh, point->X, ctx))
goto err;
} else {
if (!field_mul(group, tmp, Z4, group->a, ctx))
goto err;
if (!BN_mod_add_quick(rh, rh, tmp, p))
goto err;
if (!field_mul(group, rh, rh, point->X, ctx))
goto err;
}
/* rh := rh + b*Z^6 */
if (!field_mul(group, tmp, group->b, Z6, ctx))
goto err;
if (!BN_mod_add_quick(rh, rh, tmp, p))
goto err;
} else {
/* point->Z_is_one */
/* rh := (rh + a)*X */
if (!BN_mod_add_quick(rh, rh, group->a, p))
goto err;
if (!field_mul(group, rh, rh, point->X, ctx))
goto err;
/* rh := rh + b */
if (!BN_mod_add_quick(rh, rh, group->b, p))
goto err;
}
/* 'lh' := Y^2 */
if (!field_sqr(group, tmp, point->Y, ctx))
goto err;
ret = (0 == BN_ucmp(tmp, rh));
err:
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return ret;
}
int ossl_ec_GFp_simple_cmp(const EC_GROUP *group, const EC_POINT *a,
const EC_POINT *b, BN_CTX *ctx)
{
/*-
* return values:
* -1 error
* 0 equal (in affine coordinates)
* 1 not equal
*/
int (*field_mul) (const EC_GROUP *, BIGNUM *, const BIGNUM *,
const BIGNUM *, BN_CTX *);
int (*field_sqr) (const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *);
BN_CTX *new_ctx = NULL;
BIGNUM *tmp1, *tmp2, *Za23, *Zb23;
const BIGNUM *tmp1_, *tmp2_;
int ret = -1;
if (EC_POINT_is_at_infinity(group, a)) {
return EC_POINT_is_at_infinity(group, b) ? 0 : 1;
}
if (EC_POINT_is_at_infinity(group, b))
return 1;
if (a->Z_is_one && b->Z_is_one) {
return ((BN_cmp(a->X, b->X) == 0) && BN_cmp(a->Y, b->Y) == 0) ? 0 : 1;
}
field_mul = group->meth->field_mul;
field_sqr = group->meth->field_sqr;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
return -1;
}
BN_CTX_start(ctx);
tmp1 = BN_CTX_get(ctx);
tmp2 = BN_CTX_get(ctx);
Za23 = BN_CTX_get(ctx);
Zb23 = BN_CTX_get(ctx);
if (Zb23 == NULL)
goto end;
/*-
* We have to decide whether
* (X_a/Z_a^2, Y_a/Z_a^3) = (X_b/Z_b^2, Y_b/Z_b^3),
* or equivalently, whether
* (X_a*Z_b^2, Y_a*Z_b^3) = (X_b*Z_a^2, Y_b*Z_a^3).
*/
if (!b->Z_is_one) {
if (!field_sqr(group, Zb23, b->Z, ctx))
goto end;
if (!field_mul(group, tmp1, a->X, Zb23, ctx))
goto end;
tmp1_ = tmp1;
} else
tmp1_ = a->X;
if (!a->Z_is_one) {
if (!field_sqr(group, Za23, a->Z, ctx))
goto end;
if (!field_mul(group, tmp2, b->X, Za23, ctx))
goto end;
tmp2_ = tmp2;
} else
tmp2_ = b->X;
/* compare X_a*Z_b^2 with X_b*Z_a^2 */
if (BN_cmp(tmp1_, tmp2_) != 0) {
ret = 1; /* points differ */
goto end;
}
if (!b->Z_is_one) {
if (!field_mul(group, Zb23, Zb23, b->Z, ctx))
goto end;
if (!field_mul(group, tmp1, a->Y, Zb23, ctx))
goto end;
/* tmp1_ = tmp1 */
} else
tmp1_ = a->Y;
if (!a->Z_is_one) {
if (!field_mul(group, Za23, Za23, a->Z, ctx))
goto end;
if (!field_mul(group, tmp2, b->Y, Za23, ctx))
goto end;
/* tmp2_ = tmp2 */
} else
tmp2_ = b->Y;
/* compare Y_a*Z_b^3 with Y_b*Z_a^3 */
if (BN_cmp(tmp1_, tmp2_) != 0) {
ret = 1; /* points differ */
goto end;
}
/* points are equal */
ret = 0;
end:
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return ret;
}
int ossl_ec_GFp_simple_make_affine(const EC_GROUP *group, EC_POINT *point,
BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
BIGNUM *x, *y;
int ret = 0;
if (point->Z_is_one || EC_POINT_is_at_infinity(group, point))
return 1;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
return 0;
}
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
if (y == NULL)
goto err;
if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx))
goto err;
if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
goto err;
if (!point->Z_is_one) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
goto err;
}
ret = 1;
err:
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return ret;
}
int ossl_ec_GFp_simple_points_make_affine(const EC_GROUP *group, size_t num,
EC_POINT *points[], BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
BIGNUM *tmp, *tmp_Z;
BIGNUM **prod_Z = NULL;
size_t i;
int ret = 0;
if (num == 0)
return 1;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
return 0;
}
BN_CTX_start(ctx);
tmp = BN_CTX_get(ctx);
tmp_Z = BN_CTX_get(ctx);
if (tmp_Z == NULL)
goto err;
prod_Z = OPENSSL_malloc(num * sizeof(prod_Z[0]));
if (prod_Z == NULL)
goto err;
for (i = 0; i < num; i++) {
prod_Z[i] = BN_new();
if (prod_Z[i] == NULL)
goto err;
}
/*
* Set each prod_Z[i] to the product of points[0]->Z .. points[i]->Z,
* skipping any zero-valued inputs (pretend that they're 1).
*/
if (!BN_is_zero(points[0]->Z)) {
if (!BN_copy(prod_Z[0], points[0]->Z))
goto err;
} else {
if (group->meth->field_set_to_one != 0) {
if (!group->meth->field_set_to_one(group, prod_Z[0], ctx))
goto err;
} else {
if (!BN_one(prod_Z[0]))
goto err;
}
}
for (i = 1; i < num; i++) {
if (!BN_is_zero(points[i]->Z)) {
if (!group->
meth->field_mul(group, prod_Z[i], prod_Z[i - 1], points[i]->Z,
ctx))
goto err;
} else {
if (!BN_copy(prod_Z[i], prod_Z[i - 1]))
goto err;
}
}
/*
* Now use a single explicit inversion to replace every non-zero
* points[i]->Z by its inverse.
*/
if (!group->meth->field_inv(group, tmp, prod_Z[num - 1], ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if (group->meth->field_encode != NULL) {
/*
* In the Montgomery case, we just turned R*H (representing H) into
* 1/(R*H), but we need R*(1/H) (representing 1/H); i.e. we need to
* multiply by the Montgomery factor twice.
*/
if (!group->meth->field_encode(group, tmp, tmp, ctx))
goto err;
if (!group->meth->field_encode(group, tmp, tmp, ctx))
goto err;
}
for (i = num - 1; i > 0; --i) {
/*
* Loop invariant: tmp is the product of the inverses of points[0]->Z
* .. points[i]->Z (zero-valued inputs skipped).
*/
if (!BN_is_zero(points[i]->Z)) {
/*
* Set tmp_Z to the inverse of points[i]->Z (as product of Z
* inverses 0 .. i, Z values 0 .. i - 1).
*/
if (!group->
meth->field_mul(group, tmp_Z, prod_Z[i - 1], tmp, ctx))
goto err;
/*
* Update tmp to satisfy the loop invariant for i - 1.
*/
if (!group->meth->field_mul(group, tmp, tmp, points[i]->Z, ctx))
goto err;
/* Replace points[i]->Z by its inverse. */
if (!BN_copy(points[i]->Z, tmp_Z))
goto err;
}
}
if (!BN_is_zero(points[0]->Z)) {
/* Replace points[0]->Z by its inverse. */
if (!BN_copy(points[0]->Z, tmp))
goto err;
}
/* Finally, fix up the X and Y coordinates for all points. */
for (i = 0; i < num; i++) {
EC_POINT *p = points[i];
if (!BN_is_zero(p->Z)) {
/* turn (X, Y, 1/Z) into (X/Z^2, Y/Z^3, 1) */
if (!group->meth->field_sqr(group, tmp, p->Z, ctx))
goto err;
if (!group->meth->field_mul(group, p->X, p->X, tmp, ctx))
goto err;
if (!group->meth->field_mul(group, tmp, tmp, p->Z, ctx))
goto err;
if (!group->meth->field_mul(group, p->Y, p->Y, tmp, ctx))
goto err;
if (group->meth->field_set_to_one != 0) {
if (!group->meth->field_set_to_one(group, p->Z, ctx))
goto err;
} else {
if (!BN_one(p->Z))
goto err;
}
p->Z_is_one = 1;
}
}
ret = 1;
err:
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
if (prod_Z != NULL) {
for (i = 0; i < num; i++) {
if (prod_Z[i] == NULL)
break;
BN_clear_free(prod_Z[i]);
}
OPENSSL_free(prod_Z);
}
return ret;
}
int ossl_ec_GFp_simple_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx)
{
return BN_mod_mul(r, a, b, group->field, ctx);
}
int ossl_ec_GFp_simple_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
BN_CTX *ctx)
{
return BN_mod_sqr(r, a, group->field, ctx);
}
/*-
* Computes the multiplicative inverse of a in GF(p), storing the result in r.
* If a is zero (or equivalent), you'll get an EC_R_CANNOT_INVERT error.
* Since we don't have a Mont structure here, SCA hardening is with blinding.
* NB: "a" must be in _decoded_ form. (i.e. field_decode must precede.)
*/
int ossl_ec_GFp_simple_field_inv(const EC_GROUP *group, BIGNUM *r,
const BIGNUM *a, BN_CTX *ctx)
{
BIGNUM *e = NULL;
BN_CTX *new_ctx = NULL;
int ret = 0;
if (ctx == NULL
&& (ctx = new_ctx = BN_CTX_secure_new_ex(group->libctx)) == NULL)
return 0;
BN_CTX_start(ctx);
if ((e = BN_CTX_get(ctx)) == NULL)
goto err;
do {
if (!BN_priv_rand_range_ex(e, group->field, 0, ctx))
goto err;
} while (BN_is_zero(e));
/* r := a * e */
if (!group->meth->field_mul(group, r, a, e, ctx))
goto err;
/* r := 1/(a * e) */
if (!BN_mod_inverse(r, r, group->field, ctx)) {
ERR_raise(ERR_LIB_EC, EC_R_CANNOT_INVERT);
goto err;
}
/* r := e/(a * e) = 1/a */
if (!group->meth->field_mul(group, r, r, e, ctx))
goto err;
ret = 1;
err:
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return ret;
}
/*-
* Apply randomization of EC point projective coordinates:
*
* (X, Y, Z) = (lambda^2*X, lambda^3*Y, lambda*Z)
* lambda = [1, group->field)
*
*/
int ossl_ec_GFp_simple_blind_coordinates(const EC_GROUP *group, EC_POINT *p,
BN_CTX *ctx)
{
int ret = 0;
BIGNUM *lambda = NULL;
BIGNUM *temp = NULL;
BN_CTX_start(ctx);
lambda = BN_CTX_get(ctx);
temp = BN_CTX_get(ctx);
if (temp == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto end;
}
/*-
* Make sure lambda is not zero.
* If the RNG fails, we cannot blind but nevertheless want
* code to continue smoothly and not clobber the error stack.
*/
do {
ERR_set_mark();
ret = BN_priv_rand_range_ex(lambda, group->field, 0, ctx);
ERR_pop_to_mark();
if (ret == 0) {
ret = 1;
goto end;
}
} while (BN_is_zero(lambda));
/* if field_encode defined convert between representations */
if ((group->meth->field_encode != NULL
&& !group->meth->field_encode(group, lambda, lambda, ctx))
|| !group->meth->field_mul(group, p->Z, p->Z, lambda, ctx)
|| !group->meth->field_sqr(group, temp, lambda, ctx)
|| !group->meth->field_mul(group, p->X, p->X, temp, ctx)
|| !group->meth->field_mul(group, temp, temp, lambda, ctx)
|| !group->meth->field_mul(group, p->Y, p->Y, temp, ctx))
goto end;
p->Z_is_one = 0;
ret = 1;
end:
BN_CTX_end(ctx);
return ret;
}
/*-
* Input:
* - p: affine coordinates
*
* Output:
* - s := p, r := 2p: blinded projective (homogeneous) coordinates
*
* For doubling we use Formula 3 from Izu-Takagi "A fast parallel elliptic curve
* multiplication resistant against side channel attacks" appendix, described at
* https://hyperelliptic.org/EFD/g1p/auto-shortw-xz.html#doubling-dbl-2002-it-2
* simplified for Z1=1.
*
* Blinding uses the equivalence relation (\lambda X, \lambda Y, \lambda Z)
* for any non-zero \lambda that holds for projective (homogeneous) coords.
*/
int ossl_ec_GFp_simple_ladder_pre(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx)
{
BIGNUM *t1, *t2, *t3, *t4, *t5 = NULL;
t1 = s->Z;
t2 = r->Z;
t3 = s->X;
t4 = r->X;
t5 = s->Y;
if (!p->Z_is_one /* r := 2p */
|| !group->meth->field_sqr(group, t3, p->X, ctx)
|| !BN_mod_sub_quick(t4, t3, group->a, group->field)
|| !group->meth->field_sqr(group, t4, t4, ctx)
|| !group->meth->field_mul(group, t5, p->X, group->b, ctx)
|| !BN_mod_lshift_quick(t5, t5, 3, group->field)
/* r->X coord output */
|| !BN_mod_sub_quick(r->X, t4, t5, group->field)
|| !BN_mod_add_quick(t1, t3, group->a, group->field)
|| !group->meth->field_mul(group, t2, p->X, t1, ctx)
|| !BN_mod_add_quick(t2, group->b, t2, group->field)
/* r->Z coord output */
|| !BN_mod_lshift_quick(r->Z, t2, 2, group->field))
return 0;
/* make sure lambda (r->Y here for storage) is not zero */
do {
if (!BN_priv_rand_range_ex(r->Y, group->field, 0, ctx))
return 0;
} while (BN_is_zero(r->Y));
/* make sure lambda (s->Z here for storage) is not zero */
do {
if (!BN_priv_rand_range_ex(s->Z, group->field, 0, ctx))
return 0;
} while (BN_is_zero(s->Z));
/* if field_encode defined convert between representations */
if (group->meth->field_encode != NULL
&& (!group->meth->field_encode(group, r->Y, r->Y, ctx)
|| !group->meth->field_encode(group, s->Z, s->Z, ctx)))
return 0;
/* blind r and s independently */
if (!group->meth->field_mul(group, r->Z, r->Z, r->Y, ctx)
|| !group->meth->field_mul(group, r->X, r->X, r->Y, ctx)
|| !group->meth->field_mul(group, s->X, p->X, s->Z, ctx)) /* s := p */
return 0;
r->Z_is_one = 0;
s->Z_is_one = 0;
return 1;
}
/*-
* Input:
* - s, r: projective (homogeneous) coordinates
* - p: affine coordinates
*
* Output:
* - s := r + s, r := 2r: projective (homogeneous) coordinates
*
* Differential addition-and-doubling using Eq. (9) and (10) from Izu-Takagi
* "A fast parallel elliptic curve multiplication resistant against side channel
* attacks", as described at
* https://hyperelliptic.org/EFD/g1p/auto-shortw-xz.html#ladder-mladd-2002-it-4
*/
int ossl_ec_GFp_simple_ladder_step(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx)
{
int ret = 0;
BIGNUM *t0, *t1, *t2, *t3, *t4, *t5, *t6 = NULL;
BN_CTX_start(ctx);
t0 = BN_CTX_get(ctx);
t1 = BN_CTX_get(ctx);
t2 = BN_CTX_get(ctx);
t3 = BN_CTX_get(ctx);
t4 = BN_CTX_get(ctx);
t5 = BN_CTX_get(ctx);
t6 = BN_CTX_get(ctx);
if (t6 == NULL
|| !group->meth->field_mul(group, t6, r->X, s->X, ctx)
|| !group->meth->field_mul(group, t0, r->Z, s->Z, ctx)
|| !group->meth->field_mul(group, t4, r->X, s->Z, ctx)
|| !group->meth->field_mul(group, t3, r->Z, s->X, ctx)
|| !group->meth->field_mul(group, t5, group->a, t0, ctx)
|| !BN_mod_add_quick(t5, t6, t5, group->field)
|| !BN_mod_add_quick(t6, t3, t4, group->field)
|| !group->meth->field_mul(group, t5, t6, t5, ctx)
|| !group->meth->field_sqr(group, t0, t0, ctx)
|| !BN_mod_lshift_quick(t2, group->b, 2, group->field)
|| !group->meth->field_mul(group, t0, t2, t0, ctx)
|| !BN_mod_lshift1_quick(t5, t5, group->field)
|| !BN_mod_sub_quick(t3, t4, t3, group->field)
/* s->Z coord output */
|| !group->meth->field_sqr(group, s->Z, t3, ctx)
|| !group->meth->field_mul(group, t4, s->Z, p->X, ctx)
|| !BN_mod_add_quick(t0, t0, t5, group->field)
/* s->X coord output */
|| !BN_mod_sub_quick(s->X, t0, t4, group->field)
|| !group->meth->field_sqr(group, t4, r->X, ctx)
|| !group->meth->field_sqr(group, t5, r->Z, ctx)
|| !group->meth->field_mul(group, t6, t5, group->a, ctx)
|| !BN_mod_add_quick(t1, r->X, r->Z, group->field)
|| !group->meth->field_sqr(group, t1, t1, ctx)
|| !BN_mod_sub_quick(t1, t1, t4, group->field)
|| !BN_mod_sub_quick(t1, t1, t5, group->field)
|| !BN_mod_sub_quick(t3, t4, t6, group->field)
|| !group->meth->field_sqr(group, t3, t3, ctx)
|| !group->meth->field_mul(group, t0, t5, t1, ctx)
|| !group->meth->field_mul(group, t0, t2, t0, ctx)
/* r->X coord output */
|| !BN_mod_sub_quick(r->X, t3, t0, group->field)
|| !BN_mod_add_quick(t3, t4, t6, group->field)
|| !group->meth->field_sqr(group, t4, t5, ctx)
|| !group->meth->field_mul(group, t4, t4, t2, ctx)
|| !group->meth->field_mul(group, t1, t1, t3, ctx)
|| !BN_mod_lshift1_quick(t1, t1, group->field)
/* r->Z coord output */
|| !BN_mod_add_quick(r->Z, t4, t1, group->field))
goto err;
ret = 1;
err:
BN_CTX_end(ctx);
return ret;
}
/*-
* Input:
* - s, r: projective (homogeneous) coordinates
* - p: affine coordinates
*
* Output:
* - r := (x,y): affine coordinates
*
* Recovers the y-coordinate of r using Eq. (8) from Brier-Joye, "Weierstrass
* Elliptic Curves and Side-Channel Attacks", modified to work in mixed
* projective coords, i.e. p is affine and (r,s) in projective (homogeneous)
* coords, and return r in affine coordinates.
*
* X4 = two*Y1*X2*Z3*Z2;
* Y4 = two*b*Z3*SQR(Z2) + Z3*(a*Z2+X1*X2)*(X1*Z2+X2) - X3*SQR(X1*Z2-X2);
* Z4 = two*Y1*Z3*SQR(Z2);
*
* Z4 != 0 because:
* - Z2==0 implies r is at infinity (handled by the BN_is_zero(r->Z) branch);
* - Z3==0 implies s is at infinity (handled by the BN_is_zero(s->Z) branch);
* - Y1==0 implies p has order 2, so either r or s are infinity and handled by
* one of the BN_is_zero(...) branches.
*/
int ossl_ec_GFp_simple_ladder_post(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx)
{
int ret = 0;
BIGNUM *t0, *t1, *t2, *t3, *t4, *t5, *t6 = NULL;
if (BN_is_zero(r->Z))
return EC_POINT_set_to_infinity(group, r);
if (BN_is_zero(s->Z)) {
if (!EC_POINT_copy(r, p)
|| !EC_POINT_invert(group, r, ctx))
return 0;
return 1;
}
BN_CTX_start(ctx);
t0 = BN_CTX_get(ctx);
t1 = BN_CTX_get(ctx);
t2 = BN_CTX_get(ctx);
t3 = BN_CTX_get(ctx);
t4 = BN_CTX_get(ctx);
t5 = BN_CTX_get(ctx);
t6 = BN_CTX_get(ctx);
if (t6 == NULL
|| !BN_mod_lshift1_quick(t4, p->Y, group->field)
|| !group->meth->field_mul(group, t6, r->X, t4, ctx)
|| !group->meth->field_mul(group, t6, s->Z, t6, ctx)
|| !group->meth->field_mul(group, t5, r->Z, t6, ctx)
|| !BN_mod_lshift1_quick(t1, group->b, group->field)
|| !group->meth->field_mul(group, t1, s->Z, t1, ctx)
|| !group->meth->field_sqr(group, t3, r->Z, ctx)
|| !group->meth->field_mul(group, t2, t3, t1, ctx)
|| !group->meth->field_mul(group, t6, r->Z, group->a, ctx)
|| !group->meth->field_mul(group, t1, p->X, r->X, ctx)
|| !BN_mod_add_quick(t1, t1, t6, group->field)
|| !group->meth->field_mul(group, t1, s->Z, t1, ctx)
|| !group->meth->field_mul(group, t0, p->X, r->Z, ctx)
|| !BN_mod_add_quick(t6, r->X, t0, group->field)
|| !group->meth->field_mul(group, t6, t6, t1, ctx)
|| !BN_mod_add_quick(t6, t6, t2, group->field)
|| !BN_mod_sub_quick(t0, t0, r->X, group->field)
|| !group->meth->field_sqr(group, t0, t0, ctx)
|| !group->meth->field_mul(group, t0, t0, s->X, ctx)
|| !BN_mod_sub_quick(t0, t6, t0, group->field)
|| !group->meth->field_mul(group, t1, s->Z, t4, ctx)
|| !group->meth->field_mul(group, t1, t3, t1, ctx)
|| (group->meth->field_decode != NULL
&& !group->meth->field_decode(group, t1, t1, ctx))
|| !group->meth->field_inv(group, t1, t1, ctx)
|| (group->meth->field_encode != NULL
&& !group->meth->field_encode(group, t1, t1, ctx))
|| !group->meth->field_mul(group, r->X, t5, t1, ctx)
|| !group->meth->field_mul(group, r->Y, t0, t1, ctx))
goto err;
if (group->meth->field_set_to_one != NULL) {
if (!group->meth->field_set_to_one(group, r->Z, ctx))
goto err;
} else {
if (!BN_one(r->Z))
goto err;
}
r->Z_is_one = 1;
ret = 1;
err:
BN_CTX_end(ctx);
return ret;
}
|
./openssl/crypto/ec/ecp_sm2p256_table.c | /*
* Copyright 2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* This is the precomputed table for the code in ecp_sm2p256.c, for the default
* generator. The table consists of 32 subtables, each subtable contains 256
* affine points.
* subtable 0: 0* (2^0)*G, 1* (2^0)*G, 2* (2^0)*G, ... , 255* (2^0)*G,
* subtable 1: 0* (2^8)*G, 1* (2^8)*G, 2* (2^8)*G, ... , 255* (2^8)*G,
* subtable 2: 0* (2^16)*G, 1* (2^16)*G, 2* (2^16)*G, ... , 255* (2^16)*G,
* ...
* subtable 31: 0*(2^248)*G, 1*(2^248)*G, 2*(2^248)*G, ... , 255*(2^248)*G,
*
* The affine points are encoded as eight uint64's, four for the
* x coordinate and four for the y. Both values are in little-endian order.
*/
#include <openssl/bn.h>
#if defined(__GNUC__)
__attribute((aligned(4096)))
#elif defined(_MSC_VER)
__declspec(align(4096))
#elif defined(__SUNPRO_C)
# pragma align 4096(ecp_sm2p256_precomputed)
#endif
extern const BN_ULONG ecp_sm2p256_precomputed[8 * 32 * 256];
const BN_ULONG ecp_sm2p256_precomputed[8 * 32 * 256] = {
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x715a4589334c74c7, 0x8fe30bbff2660be1, 0x5f9904466a39c994, 0x32c4ae2c1f198119,
0x02df32e52139f0a0, 0xd0a9877cc62a4740, 0x59bdcee36b692153, 0xbc3736a2f4f6779c,
0x495c2e1da3f2bd52, 0x9c0dfa08c08a7331, 0x0d58ef57fa73ba4d, 0x56cefd60d7c87c00,
0x6f780d3a970a23c3, 0x6de84c182f6c8e71, 0x68535ce0f8eaf1bd, 0x31b7e7e6cc8189f6,
0xe26918f1d0509ebf, 0xa13f6bd945302244, 0xbe2daa8cdb41e24c, 0xa97f7cd4b3c993b4,
0xaaacdd037458f6e6, 0x7c400ee5cd045292, 0xccc5cec08a72150f, 0x530b5dd88c688ef5,
0xb21646cd34a0ced5, 0x009a084ad5cc937d, 0x2a81052ff641ed69, 0xc239507105c68324,
0x7a253666cb66e009, 0x6bee2e96ab8c71fb, 0x35f1294ac0db1968, 0xb1bf7ec4080f3c87,
0xa575da57cc372a9e, 0x344a417b7fce19db, 0x040e008fdd5eb77a, 0xc749061668652e26,
0xa6976eff5fbe6480, 0x5006206eb579ff7d, 0x4504c622b51cf38f, 0xf2df5db2d144e945,
0x2c8b1a1a3c4b0d30, 0x05ff8856a6601689, 0xbb17c93e71f22a31, 0x0927afb57d93483b,
0xd572103000088f63, 0x81adf1f0855a064d, 0xac1c0ef6ebf26645, 0x150c6b1ab4d1fc7e,
0xcd27e384d9fcaf15, 0xa80198337744ee78, 0xfdbe86a75c139906, 0xddf092555409c19d,
0x223b949657e52bc1, 0x037937707d6a49a2, 0x5cd6b6e9c12d2922, 0x847d18ffb38e8706,
0x675d822ded0bb916, 0xd4ea35d60c1c29bb, 0x3db4333d4e860e64, 0xb9c3faeb4b161071,
0x3c286da2cfd31a3e, 0x0366a8a03024b3e0, 0x2491d2de9accf2be, 0xc519b309ecf7269c,
0x173472a58cca247e, 0xfe8d59cb43619e4f, 0x0b4a2444a46a74c5, 0xa27233f3a5959508,
0x85227940922c02e9, 0xc3a8433140d1ebca, 0x768f7689b210f45f, 0x379e72f63722c924,
0x84a04814db522756, 0xb2d0d065cd219e32, 0x21666061f65c3e32, 0xd3f94862519621c1,
0x47d46fb2bab82a14, 0xf6b743f64d1482d1, 0x2ebd57d146dca428, 0x4b9030cf676f6a74,
0x668c74d78ce20ace, 0x125dcdd589c2ff82, 0x7c1aab770f67f543, 0x04b3cb10c9c6d8e2,
0x739a8fd805174a4b, 0x0c94816e63c4bc72, 0x4918e5c02e2b0b93, 0x63516355287e39fe,
0x9c9f042d0279270a, 0x5f7b516c5bdaddad, 0xd89058ca059be46e, 0xbfc2df6bb17f971a,
0xb5fbf87b64af3c26, 0x73c9fc6fd150aaaa, 0xcef696b67939bd7b, 0xb145513f59636106,
0x2b834f1d509b9cd0, 0x7bea65c6421e189e, 0xfa804513275f58aa, 0x952072d6ff9c65bd,
0x03891e105e009b00, 0x58d1434ae934ba75, 0x1a473f8d9748f238, 0xe6bb9804458bb70f,
0x0a44248a36bb0a07, 0xef22ea28be9d44de, 0x4aaf81826982d748, 0x83b4a4de96a4d70f,
0x2e663cd4373a2f24, 0x3e707c8a43852949, 0xeeb6d6c6d7e74f8e, 0xe481c0d9ee8a98d4,
0x461b1bbcb80f829c, 0x3b424f35f0ecce4c, 0x3291676c38d39324, 0xf73b839f13912c1a,
0x4c3533771db0955e, 0xdc2e788fb170aa14, 0x5ee9fab985c12455, 0x32ec7722695dc7cf,
0x55645bbc8704fb68, 0xea133cd248a93e25, 0xbbce44ef5db3e419, 0x35648233f554ae51,
0x4411a9a30eca2046, 0x154b1870a6a65166, 0x6117bca9ce885dd6, 0x04d7ac60f6d975ef,
0x36969f8b77125e6a, 0xbf5113ab85b5ed44, 0x1c993f01115c57f7, 0xdd18aa4aec26eac4,
0xe0180d54d4ae2221, 0x6cce6001d7c0b853, 0x3361493f76fac50f, 0x161e5851969da822,
0x427e33ae8ed9c317, 0xa3448557a24554db, 0x221ea8657781ce71, 0x69fdf8a436fd8e5d,
0x71e35709341fdcab, 0xeb7b1ad657c155f5, 0x6b0a9658b33b347b, 0xbaa856d1cad68af3,
0x1323f252e493952a, 0xf7c96c55940a4726, 0xe2e0586bb5dc9419, 0xa68b2ec49d1921d0,
0xfd4520a63f5cc585, 0xb95f2de69200269e, 0x933ef442fca7a734, 0x96f361a23b3deb99,
0x0588fdd88abdee94, 0xabbb1ea1417f958d, 0x7575e3cb2fa9092d, 0x08314765e44847eb,
0x5eeb0e99c2eb61e9, 0x7de3a53937e8a75f, 0x6b443ab436095378, 0xdf922344fa592a98,
0xe1de5f100950c8ab, 0x5b551c86a8976933, 0x137cbf4e8aa50535, 0x6407be639bc5b738,
0xf945321148e90344, 0x60fcfd988fff6dec, 0x12a9423fd80dea54, 0x141caee612e7ab07,
0x0755a352dafa1e1d, 0x3e7307f46fa550d1, 0x1835a4d0f3e5e299, 0xe61120569974c0bc,
0x3b86cc142850b0f3, 0x02855e18d12379b4, 0xd08fc10e5056e4bc, 0xcfe30aa2c3877e52,
0x4dbb2fcd069d45db, 0xbb570a9f430ea7f6, 0x15c07a8c04226fe3, 0xac8df677299e8288,
0x7bd8b7c847718ce5, 0x0e9b9643d766da33, 0x30c43be69b23cc14, 0xaef82cf361db1c71,
0xd7240a35d1f4ffed, 0xec268911ccb79283, 0x314fa6c814c7bda8, 0xdf8a74f904d1715e,
0xbcb60a9e82017c30, 0xe1c80e7752bd6499, 0x7a7606ef148aa5fb, 0x0fed448a3f263918,
0x0263b20d539e4139, 0x7e8581fbbcf5de01, 0xce1564c3df7d67ea, 0x178d1f6bd584afcc,
0x9b499a7da7820bf9, 0x7021aafc29ac8e86, 0x53da45cec1caada1, 0xf575f34e5f6c63c6,
0x8e6a9e4fdf895290, 0x73783ef304251e74, 0xbcf26fe238a102c2, 0xa0a1a4fbeb476576,
0xe54f7f3a4896d9d3, 0xec73068587361b34, 0x0d09c3f281d4c41c, 0x8dfdd7cd150d2564,
0xce37e84fc9541b4b, 0x02a85a7410754529, 0xd7a1f169475b4ddf, 0xec6f34ceacaa73a0,
0x73306a0ff0485872, 0xe607f33be20135ea, 0x6f251c63fbbd2927, 0x3c85cf62a744817e,
0x6cb2f058c747d33f, 0x36f0dfe49113c16e, 0x94ed53ed581d191d, 0x91cb72dc55f84346,
0x3ea6aace93921f31, 0xf4c600e8b5dfe811, 0xf7efb07682931f88, 0x1957ad4cfffd491e,
0x9dd4ef421635b9dc, 0xc9816be068be66db, 0x625773cae69bbe05, 0x28221c36398c4c3a,
0x2995225e66b162ba, 0x64c77a81858d4ca1, 0xab2012c41627cd81, 0x3b4d172d6963510b,
0xfd23ea021da51c9d, 0x8b1ac02e98d543ce, 0xc315796922bf1343, 0x17a5f74d533ae724,
0x57d2e81dbb945dfe, 0x7befa4db8c8d3eff, 0xb9038823d9ad0d5f, 0x498470ec6752b2ec,
0xac995c5066bdaaa5, 0x27d053c0f150fe10, 0xd6b48259b69e8530, 0x08daae840b2a43eb,
0x2458b9e3c73bf657, 0xf7dc310560bbe83a, 0xc1b8e58150da662d, 0x80cc0a980495af87,
0xa32641e56024666c, 0x791734cd03e5565c, 0xa6d5c2b5817f2329, 0x25d3debd0950d180,
0xd39e100303fa10a2, 0x0458895120e208b4, 0xb938c406dd5cb0e1, 0x92d99a70679d61ef,
0x6d69b1bd07837dc9, 0x451641e8455eedb6, 0x4624f85fe9b7cb83, 0xa1aa7f4a42808908,
0xc3c8bd75b5fe25de, 0x6e67fd81941c6a60, 0xeb15fccc63694830, 0x3d420dee447499cf,
0x37a60fce33247b4c, 0x1afddac4a9667094, 0x72e11351388e9d3d, 0x87e13ab96307c971,
0x217ed12bbc413d35, 0xd7ac6191958240c7, 0xadb32c8ad1d8a615, 0x3ff4e73fac0283e5,
0x549786448c4f3f4d, 0xbaf30f4638d2231b, 0x46dab2eba04afd78, 0x68126a90b051062b,
0x5a8ce092c6b7c016, 0xe7fec8984be51251, 0x35ecf208bdec5980, 0x7e72f70a2eaf1bf4,
0xfa2f46cf90a47d2b, 0xe7579164cc5a233c, 0xcdd2cc00d6ce411e, 0x323159ac22478ac2,
0x939227b1d05f49ba, 0xa94c472c0089e4b4, 0x7e7a32282a0c2900, 0xe488cf88fe83acfc,
0x31f8514dc6115cb5, 0x8c641a6cb43ae7da, 0x8b8f45b58a12e6cc, 0x3242e1de1fa494c5,
0x7dab7b373c8f551b, 0x56ab9bcf11b6f25a, 0xaa27b4380a8333ad, 0xcbf18ef2f229c025,
0xb7d6af71fb640a75, 0x47a9f7f697a28e0b, 0x6b663188dc931a44, 0x7f404379407b0976,
0xf500974f78295571, 0xc7652177fdfae41b, 0x860bec0a6c78c5d0, 0x3178d1bb1435c9af,
0xcd1bb864637cf4f9, 0x10e34d63f48c5ed4, 0x5b075be3c412ad03, 0xe6857f7fc3345385,
0x1ca28a8ee15f1878, 0x5d72264551d68eae, 0x581dfa7d2b4c09e3, 0x6b61903f2ba03769,
0x2bed704f6dff2150, 0x3b66f17073149664, 0x2a722a8a3b798a66, 0x376bf9e5403eedb7,
0x95c769d2fc372cd9, 0x35698578596b792f, 0x2670a8f2e7f7a641, 0xf6f8ca3c58d3089e,
0x47d58af32a91ddc2, 0x30abb6eab3f02921, 0x490df25e43f73f13, 0xf537773939d38a9b,
0xf9099fa3212d8fc1, 0x63ae367eb959d9f8, 0x8e2e511cce74be18, 0xbeb6132d28ff4099,
0xc88b69c57731c07e, 0x52ed6a3d227ff763, 0x52cd70822173c59f, 0xd0d299040f1250d8,
0x5769c965f01be7a3, 0xf6db21dd26bbf942, 0x648ab14004516e12, 0xabfc349e2f1d2118,
0x0180bb9d84d7141b, 0x134911d8e4bbaaec, 0x4b92b8f64e804905, 0x897da7bb358b6d21,
0x38ecb2e51caf0aae, 0x6543e7e5a787f93d, 0xf571032510364cd2, 0x995b4a9a20d88c89,
0xdd379996725be125, 0xb1df2f7a4fcad9d2, 0xa7b5fa7d47457508, 0x2575c600187cec18,
0x1e259e3d752b00d1, 0x83580245568efa73, 0xed22d2e0508647f4, 0x84442dfc92fb06ff,
0x3d24524ac4d2c465, 0x0462308a30d9d3e5, 0x45254a01baae8a2e, 0xd2593661cf6daf12,
0x5dca599abe435bf0, 0xa169da8afcb3a620, 0x6cf13824af9f6508, 0x416b602161b2bbf6,
0x5c4b342a0ead84ed, 0x654b3a33c67ed63d, 0xa31dbd4bffd8c960, 0x2f7fa743ade7d8ef,
0x3e6c057797b29702, 0xd19f608ec8d8fdbd, 0xfc7473793f836beb, 0x3a0b20471be6e94a,
0xec0ddc2b82cb0747, 0xdaeda7da80dde8ce, 0x98e2f9df22a96604, 0x8ab85f67eec67f06,
0xe2874ab08c6c6e2b, 0x0445b6381fc45c42, 0x53e29b91b9afd253, 0x0d90c6f4584c9d15,
0xbcafd803c7fa407d, 0xd4a5aebc3d150787, 0xf0d92d5deb9a8696, 0x516478a2567460c7,
0xab9d905b209fb8a3, 0x0e93b2f066f5b023, 0x36ecf288427a2ed2, 0xcd8596762e7c1384,
0x2755c80bb1316dd9, 0x787ab24d5a604fb9, 0xdf25cd6e045b914d, 0x968513d803c0a611,
0x60f9fd6e5a72901a, 0x9a31b57f2e430478, 0x893c927b9668ddd5, 0xb0992fa258261de1,
0xf4bfcc77ea4809c9, 0xc56284e868ddcfa0, 0x6f0aea97a43907c7, 0xfbb54c148bd5828b,
0x18c1df9b3daafa9b, 0xd037d19f80bdadce, 0x06a3849d9204ccb4, 0x3ace4fd8dfca573e,
0x35eaa6e36461d0d3, 0x17905f2a781de540, 0x2d531dd8552f2765, 0x01eeb7b6a1494475,
0xb769488b3901a9f3, 0x7460ad9d8bcceeb9, 0x66a2abf1c7753bb8, 0xabd4a0f7fac6deb4,
0x869252402e6a9f99, 0x109e9f4b61c6f6bd, 0x20498d04f39cdf59, 0xd62fed8ce52682d6,
0x58f3f064c341c481, 0xaeb47ad53e382513, 0xe63d189ea323c1db, 0x106309c4f4f41c3b,
0x828cc5c0f20462a9, 0x6d96e2a601b93c0e, 0x4cd09b8e39701ff1, 0xd909bb3be4c02cd8,
0x5eefa9a3ec3f9511, 0x05977fb39adacec7, 0x5bb65608aa16f24f, 0x10d8c2a3b3396bd8,
0x4b9fdb48e73da1f4, 0xaf424d81ca4837d3, 0x12977a990acddfbc, 0x30c06b0c4ad8881a,
0xbdb45a06820f214c, 0x0d2b4dcdd1d72197, 0x6ac7be40ce1c0b24, 0xdffe969d5c0c2037,
0xc86610f34f66b3df, 0x015c9bf09e75950a, 0xcbde1f5982ace379, 0x6a13800155ef04b7,
0x1d092851b33025b7, 0x41d95d9e42639ac6, 0x84f5b14011d026db, 0x2de1cdf12e9cb8c0,
0x866723c1db16de4b, 0xdca3ec1ca731d89c, 0x72976afd2d0f4836, 0xb21e68780bd8ee9a,
0xaeece0bcd44dbd4b, 0x01b03b987a6324f8, 0xcef0026bcefa2aac, 0x85405981156ecd7d,
0x123308b4a9c5711a, 0x721dd5dacce5bc3d, 0x26804860af6a7e95, 0x7ccbc3bf87cc4d54,
0x5995334c3e242616, 0x3acfb676b987c213, 0x145518b80573d4c0, 0xc6ebde08aded9af4,
0x9a4daa72d104dd8b, 0xdde4dac3cd08710b, 0x57e470f1db64f91b, 0x6c7f036eb374832a,
0x9f07db54caab8fcf, 0xbc06cf52d8d5f56c, 0x4aea7bee9c0e0ed6, 0x282c76e18b24f8b4,
0xcd43853968e0f8c3, 0x9cab4fb10369ef34, 0xf5aba10ba06befde, 0x99ff4d8ff311e9a0,
0xd35aaa101d22c55a, 0xf2b3182557bf0529, 0xdd523fc5310a3ecf, 0x0b3cc5a35c82a6b7,
0x3a15c7a108af767c, 0x0693ab9cd8951ee4, 0x05f23cff908ed521, 0xba38ae4ed8f30818,
0x3567e7eb19841fbc, 0xd4f1f91388ce0fbd, 0x7b3440651da95cb5, 0x56b6c91fef0c0213,
0x0c5516aa79811c1c, 0x8869b952943a29fc, 0xf382d60f67fcc2e2, 0xd3a606c601b5c66f,
0x0d6b519f677f9e84, 0x3ef8e988f9e9e6c0, 0x8726d00ed296c2b3, 0x16429acf62bb2d8f,
0x858ddab4a1817e91, 0x6f0b334f51351a23, 0x7f09f1f531213b6f, 0x82a81778d373eb3a,
0xbed0e457d7a8801d, 0x632446bf2a988560, 0x3f2e4e9a57914a68, 0x45690fae01c59d44,
0x29dc4c21401d787f, 0x5c4a52f82ad10df3, 0x7048dcd10cdece63, 0x5eee8921f4fcd342,
0x9ffe119727f734ae, 0xf39e93dc1c8b27ad, 0x73516bbad0f603e4, 0xb6b3462b6a39a55b,
0x4a69c806e78615c2, 0xe988794843797b0c, 0xa47dcf644f700651, 0x97662389f36ce643,
0x17eef58bf866b33f, 0x5eb06c4515ff01bd, 0x328b8d67d4ae956f, 0xcd4d9449aea5cac5,
0xcd382e53ed23ae1f, 0x7b1eb83b8306ace5, 0x15a8ecd063d726ba, 0x403b18162679c055,
0xd0a5d4ebea56f425, 0xdf882dfcffcc84bc, 0x8d61a1c805ef7074, 0xeb42ebf496a7bd69,
0x4932828fa1eda64a, 0x9b29f654ca04e515, 0x899b922465789ef1, 0xf37e88764c7ac45c,
0x5c21a5c0dd61d736, 0x2554d8e82845136b, 0xbad57a13e441c8c8, 0xfbf59fee83ed48c0,
0xb6dfed771b9c57aa, 0xd2a721c4ca5988de, 0x4a72eef2c3b79c4a, 0x4735ff387ce5d531,
0x6595b84458e25402, 0x9050829a6000ae69, 0x4e309f2a26856099, 0xa8ed2943cca6016f,
0x93533941dbcc0ace, 0x841a1067098656b6, 0x30bb10f83e216e8a, 0xb4f7130dc7e9212a,
0x93ce7fc238b81921, 0x5b7e8e5a8f641f8c, 0x9ddc33deb95a5b71, 0x2f29f4a14bab0c77,
0xfcfdd7e629b3cadf, 0x773924b26ef7247d, 0xda1da81a16bb9420, 0xd25e0cb35f1f1faa,
0xc545c1a75e458451, 0xabedaafe76dcc117, 0x429b67f6ae073a8f, 0x67295cb2e7ed1851,
0x844c475a38b961fa, 0x355386afd494c53d, 0x81c6dcf871dd881b, 0x092af9a79f4170d1,
0x7d3dce96cbf08554, 0x72eac8accba2b32d, 0xca582b8e15cc89af, 0xc9a3d27ecf09b2f3,
0x09acc52ed3b84f43, 0xb5b0f39553570b43, 0xe9f8c0f1152682a5, 0xdc532866d1359272,
0xa830e1dfd3792ce9, 0x6ad5e7da482f3096, 0x0c80e17dba0aaedf, 0x306cfc30b3a85aae,
0x13970909b51d1a80, 0x14ce48989614edc1, 0xdc467497755cbd57, 0x9660670c8b61b1f5,
0x63d8896cd021a129, 0xff50d6958c5fb8d2, 0x39ee34cd34b67a5f, 0x8358e926ccc8e30d,
0x99f8edca8af044d5, 0xd3cbf4330b841d22, 0xd174131b63b02eba, 0x38eb496124b15eeb,
0x48a22e8cfb012cfc, 0xf5da2e278065962b, 0xff4403f9200acae2, 0xf184e282b6b418f7,
0xc6b107ca5b20c9f3, 0x26f583a441e0630a, 0x92d0e75229f427bc, 0x4f703d0de9e071bc,
0x3171ddeaace634c6, 0x12c49c6dc514680a, 0xa7002297639b4906, 0x1700f3d434b737fc,
0xbe75a9cad6bd2300, 0x748db9d9c1cb48ba, 0xadcafa24a2f2c39b, 0xea6d56b46741bf09,
0xc30eead02da09851, 0x8577fffe20f3731e, 0x245a5b85a5e0ebf1, 0x18e5eead89732407,
0x746075b5bfc55131, 0xba4453d3d8e14282, 0xf8a86d159d9a709d, 0xa4f4630217f0e85b,
0xf04d0d9b0b09c7c9, 0xe9669f06d6c1b268, 0xe2e27fbcfbda045e, 0xc8a35bec05eb827b,
0xeb9d4eaae174d6f2, 0x03e09a3ad81dd4ff, 0xebda3404ab654a2f, 0x5d39c2892dfb220a,
0xf1c3399fdb7845ad, 0x7d979bb1bce205b1, 0x89d18134a93a533c, 0x35b91f56afed2092,
0x7c42374fe8984cb6, 0x9c764897cfffdca0, 0xcaac6a4d50fade17, 0xe0ef4846a887c038,
0xd82902a52c00d995, 0xc5067a8d1a2f3a41, 0x0b4ce0b7d7daff7d, 0x9230ff23783733a8,
0xad1951435957726a, 0x2206d08929796e05, 0xd4fe4d4127cba088, 0xa162fb5f8af4185f,
0x3427a4e96c94f67c, 0xe86e6a15f91af428, 0xb465eb367ca10566, 0xb9e3bb2376a12196,
0xe445463326fd5391, 0xd2cb5fc8266bef82, 0x39f16938e29cf376, 0xb5e7992af43ff901,
0x4bd11a57af8b46ab, 0x0c5e337332e53a91, 0x5585aff51f34de17, 0x3324dae6ff8a7d31,
0x7d1a4a46cbefccd9, 0x27f1086e10c87ee9, 0xc78c20aec8a5fdfe, 0x4da8bbb0f99ffecb,
0xc62e8ca1d2255a8e, 0x6888bcbdff421c66, 0x4505e94b0635a09e, 0xcd4588f38a097beb,
0x5dd66e10fd954995, 0xf4c89fe58d2946ee, 0x9a994e3b6e6e8e23, 0xd8a26b12ea5c4d4f,
0x5ad271ccd78f3f33, 0xcc32ddea6b84a3ba, 0xe06e913d6923d4a2, 0x47d54e91bac13b53,
0x9c284015294338fd, 0xd5e81534cce44432, 0xcbe70ca22e5c5807, 0x28449ff72f96a915,
0xdde032503e64423c, 0xf7bdbe2478c4a4d8, 0x8b7b8d331850a22f, 0x6c6d8382d09406fb,
0xef14705131546e8c, 0xe37d671893d4f2fc, 0x5d8d444d3e8cf4ba, 0x61572c322b045a47,
0x82d10acd5f5bebce, 0xa1959df1dec34077, 0xe91ea4d68a7640f3, 0xe3b511c42ceef515,
0x481f41613b55ec09, 0xcfc60e29aa074743, 0x58d29712da50cb69, 0x9912f2f0ae0595ac,
0x43196eb35d95b713, 0x76e6a7ee0eb0d7f7, 0xa63822a6684c88ec, 0x308d561a3f241d0e,
0xc044c871fa3ba783, 0x37dae2451b0fed32, 0xcfcc32d3fcaf9df7, 0x8363e2ee5e5c4c5c,
0xf7ed72d0656c9949, 0xdc3b5a0fe7c9306a, 0x1c69661627293531, 0x9efda4aa036202c1,
0x062de907d0953ad0, 0xf8041e0c6f8a9ecc, 0x6115b8f3de7a86b0, 0x347ddd33f2a2a793,
0x8e7bcacc36680035, 0x9fa94d3cdc8750a8, 0x04e8b20daa55606e, 0x5a2280dbdb9b3752,
0x6e31484dbd771d0e, 0xa5fc6ff489cfc13e, 0xb169aadf11e60e81, 0x2837c25fdadc2e26,
0xf2030f4225a85995, 0x7807147e3e464e77, 0xf99091981e6bac0a, 0xc3723f3fc316243d,
0x2741ab72959580d9, 0x1cb62f04ad353b13, 0xd083375dc8f7410b, 0xaed46d363137584e,
0xa3d1bb4c8eb5d8f2, 0x830282b1dc1d81a1, 0x083108d71d52fa0d, 0x3b0d22596a1813ae,
0x4267a218068f0d8e, 0x0ad610f0ff4c2d83, 0xa8c734baf1d3ad11, 0xec1fbdf9e74e9729,
0x776d76940e9089f7, 0x423ce1f3edd46634, 0x47826701c68b519b, 0x3eedfd07b9887154,
0x68ef1d10a42f776a, 0x6386fcab69688add, 0x36a5dd89d191c3cb, 0x8c4881e5d7393294,
0x66def5145491bd99, 0x0a91c1fa773c3457, 0x43799ffb08efb028, 0x85cdcfb669092acb,
0x7f4fc84c4030cbfb, 0x72269f3f2b240663, 0x2fbdd32ac29920a7, 0xbdc4d61a0367ef71,
0xaa1216a122a659a2, 0xab1da8335c171bb0, 0x3ca0d22c3b3e45c4, 0x0f946baaadeae8d8,
0xef14e81fdd2b364f, 0x2f55ada2ae0de459, 0x940af90140a2de69, 0xc7e75e9aabf401bc,
0x47a9ff788e1c3a3a, 0x2ce3f69491e5dce8, 0x81dbf7dde0977adc, 0x42ba0b11851f6dd9,
0x1b4edf339840cf0e, 0xad8ff5b21132fd4f, 0xd5e31a8a588a6101, 0x1661c89b16294868,
0x8019be652e5068b1, 0xd91b1fada5f73c41, 0x283898bb911395dd, 0x06ba3fad70685b96,
0xdefeb106c49760ae, 0xdad52aa98d5e77f0, 0x0b9e3af9140b5ea4, 0x6ea78774ca7519f2,
0xcb4aa4498abb9d51, 0xa5c5b3f4d0469271, 0x397aadf70746ccb3, 0xc624e8dffabcc782,
0xcfdc959047b20f62, 0x6839796b357d0be1, 0x2c431e27f83005b7, 0x0569f1c4a75037ca,
0x709460772e4c876a, 0xeaa568fd7c9f7dd9, 0x4eae8ce3c8dd9b61, 0x8847a12643e7a6f3,
0x50337833e84a623a, 0x6d0f0e64adf10b27, 0xf3029bda34083597, 0x8204c4bb5cc07376,
0x5eb6dc8d28db1c54, 0x08f42a900ba5d9db, 0x90744ed74b2b207d, 0x1e9991f233d884f0,
0xaf5ca8e8bfa880e6, 0xfa43aab6924390d1, 0x4a7d2a178fc16736, 0x5a4aa3bf0525ff25,
0x00092c75b19c8544, 0x31fb7664db32f0ef, 0x196515334ea72250, 0x053efa8bfc39562f,
0x9bf9efc1b0242cb9, 0xfdd1f568ad88cea0, 0x5bd701ea2ded6b29, 0xe3ffd2783b7121e1,
0x6301c5c26b454d79, 0xc4d21c15e28fe4f0, 0xa2a4b664ef38802e, 0x7e23d698181dfdd3,
0x2a76ce3fcc775c7e, 0xbcf7808774f52159, 0x080f9528ffbf916c, 0x885bebd0441de6f0,
0x51e6593154e91061, 0xe5233d5e7b348535, 0x473b3b3f184aa822, 0x21151e7b977aaa95,
0xde51ba8cbee9bd99, 0xae5f23f269f957cd, 0x708d74a0a5a682c7, 0x91097071cb646e5e,
0x3bc35e10f5963bbc, 0xb426789ae226b25e, 0xef6cad6c7f12beb6, 0xeab10ec96bacab69,
0x23f3533bb1ac8e06, 0x8a6724bfaa07e6b3, 0x7b8760a2905deae8, 0x56702de289f4e2f0,
0xdada3f65d4f55bf8, 0x7f8c6d057d31d642, 0xc9b00abdc8495650, 0x1c51e60abc0eccd2,
0xfec65ffbf9c42481, 0x22e8c26bb26384db, 0x6be43bc89cf09d40, 0xbd6c96655fcfe6a2,
0xb626341c04311030, 0x905fe7ef57925046, 0x9509529bde2ef3df, 0x7948636bc0cdc7a4,
0xc30c108a100fec81, 0x6221aa9d592e8828, 0xf3c8215591cebb72, 0xd8bf6ea39c57b9dc,
0x1d183b59164b8c40, 0x7ea2a786319e78a6, 0xc973b32e93bc2f87, 0x9025624014782cbe,
0xbd6e444a134eac53, 0xfe0f19b444f2e570, 0xf60bc3c21500767c, 0xa8502a4bd10e123e,
0xded8e57012f4651f, 0xaeb1b9241eb04d7a, 0xd513f05f555fed42, 0xfa0c380af507ac6a,
0x65b433a8dfb5ce3d, 0x98999ef103eca182, 0xf56d0853313c64ec, 0x3e0417206422ad1b,
0xed5571f713fb7ed3, 0x02876cabef2d641d, 0x60cabfa0f8547278, 0x63a185e898896c4a,
0x0e1ecd9e46466a47, 0xd757ae92795b1541, 0xd9dcd23ac5c15de8, 0x3b3de05121ff3a36,
0xa11606102e19c39b, 0xd6106c43e6eb5c91, 0x5ab4cccacefee53a, 0x007b8326ebd1926d,
0x32ba940140487c6d, 0x46e0755a22260568, 0x7790f1c8c0222f19, 0xb2bb4be2c6bded6f,
0x175f675d63cdbf6e, 0xa1809a9af4da899a, 0xf7138f89ad5d7afb, 0x761b3fb67fd8c602,
0xa2eca2c4334f453b, 0xf64d9dc500a7a507, 0x924adebceb539c8a, 0xc209a7edb19c905e,
0x6dbbff18fdc777c1, 0x17fd5c2997f84b5a, 0x73c3bbc097fbb941, 0xf67681a6300cb02c,
0x5dcfafe1b79d21f7, 0x7d4217fb0d2f24bc, 0x53cc4b66d1bf5b67, 0x8512234b09a632ee,
0x7afef5d3c566680a, 0xcc16073d5ac4919b, 0x8cc1c7b68bbc832d, 0x50c43f4413c4c58c,
0x724c733a800256f2, 0xff3978a5dbd4f083, 0x9b2a00ed5c8a3916, 0x69e19793abf7a632,
0xcecb6edcab1857af, 0xa462893d3c564a29, 0x61c82e8a6cd57f10, 0x3fa79f6ccffe83c8,
0x364ce350ccad2815, 0x83d7adbfcaf46f89, 0x4c2fd40ac0ad5ce2, 0xd51c2c33a7b276b2,
0x37328b5094395ce3, 0x70812a15ff5243fe, 0x15ad4a85db620d26, 0xff3f9978e53508fc,
0x4dbe3930f085dd46, 0xe68954afa8bc18b9, 0x1e20699412fc97b3, 0x2b5bc43566c8182b,
0xe948a5e26d1d3ddc, 0xa35730ae4e899f73, 0x8187e151ade21342, 0x22ddbfb842707e88,
0x314b8155d6b6ad5b, 0x73d0d75407a752cb, 0xd9da783ff9fa2b9d, 0xf435d414df4f5076,
0x1dff839d5c16d42b, 0xd136dc23e40ab6c1, 0xfca6360f0e1c5a33, 0xaf1c58598e7cb56e,
0x43dcc5d73e585d51, 0x519f6ad4eebd062b, 0x80754ac3c1d740f1, 0xaf1fe551463c5b67,
0x1d24556ff8ace198, 0x02b91a2134d2ee23, 0x13d1ffba18d54997, 0x5d56aaa246770a3d,
0x4fbbcd60cdb5494b, 0x848f8dffabbea9b6, 0x42672e40d5a53819, 0x584f13fbeaca5bf3,
0xf160a9ccab6e11b4, 0x51a73a3a653b6373, 0x63c3bc25ecdf58c7, 0x325cc030e9514373,
0xe2a6b8f7aa1916bf, 0x9c668a4c33a54663, 0x5931972834a653b2, 0xc5e8ca195ea0274e,
0xa5a7a5e95eabfb91, 0xdd71f31da6f7c46e, 0x51b21e140a5fcb76, 0x7d4dc704d3c881db,
0x72bb35a49a20c914, 0x1c426d0b4fe64fef, 0xecfeeaed431bab4b, 0x85ac16eb56493abb,
0x45c61bdd78abbe40, 0x937b96bb7431209a, 0xaccf7f070abbe8fb, 0xa17a2586c5bab868,
0x0b40d7846acd93bd, 0xe92a3100a8aa7d86, 0x5a90c85c2b95d141, 0x42b957edf0eac80b,
0x97b291bad89c9cf3, 0x8164c5fc56ad0b3c, 0xe178efd995023ccd, 0x0035cde42dc2cf15,
0x6a755592839eaf7a, 0x324a4b4eba667d1a, 0xf5c3460b16ba21a4, 0xde9f478017f5ef6b,
0x8d31bc90b58a334a, 0x31fbdfe21dc8eb9c, 0x23d8b2d4a678ac83, 0x4dbb4cad0a7e2706,
0x7c91dba2fa129d98, 0x213e75991c59be79, 0x59f768c230bde513, 0x8c2972d5ff12ff22,
0xc691e275dd7475c9, 0x25f4ac9004ef9825, 0xfaad8de2af3a5b1a, 0x0460afdc2ee1ae1c,
0x8f542a7f1830047a, 0x2d9c80739c120316, 0x259137908d220bb6, 0xc1f1ed239eb2e2d6,
0x52fc97633cb4e187, 0x466c94626a15b643, 0x4a2391acbad2fc28, 0xd85fcc762fbee484,
0xe746df69c444e173, 0xe716b7df6ff3866f, 0xde7f692c0021274f, 0xb5ff42f5c63a693a,
0x183370004c000aa6, 0xcbb94a5f3fd9d41a, 0x592117ec50ae9cf2, 0xba6d987fe545a9d9,
0x7f564fc0813b5d4d, 0xb0c3c5252443ec98, 0xf763d3b20ef393ef, 0x86ba065985aab176,
0x1089bea456d640dc, 0x572ab615149aaddc, 0xbb18497c0b5e8699, 0x42acc8ecf1858fd0,
0xc7033a8ea70569dd, 0xf6670a5251e942ca, 0x76f01cc756a45ce9, 0x12192f6c25bb90b7,
0x5e67d8c073397f3e, 0x5943d66bca82b331, 0x2177d44402e76b82, 0x1e247b0fb5819ef9,
0x69f15537f160c9db, 0x2b7b74de9915f35c, 0xb028cd637d5f3b3f, 0x730cac8955b4a829,
0xff62e2a27178e739, 0xd895fd5a4574f298, 0x9245177f0510e27b, 0xf5d500feda9a7127,
0x073a60f73af7d8b2, 0x36fc50273862bdbb, 0xcf8391afee8b886a, 0xcd304e07207e8fd6,
0xf71260f3d5316697, 0xe8d71e81ffa497c1, 0xa945c9b42720abae, 0x45e5de0e5987e1ad,
0xce05418c9fdb0589, 0x94a780beb0eda9d8, 0x5b7ded5404d3fa8c, 0xdbe264a2ee1ad880,
0x7aebcd67079987f5, 0xf60062c177a57277, 0x9f71be1267cec822, 0x3f901c7848bef8e0,
0xecebbadd7dbef974, 0x3d01a5999ab31878, 0x9646807f6f1f91ba, 0xd8b30022c4e5f774,
0xd4f845b74984a74a, 0x9ef317840a4cd193, 0x201c39b8e0cbedc6, 0x19204c0d6c7fab92,
0x2aff1d698b3e9596, 0x03c3310096cbfdfd, 0x37fb5e89e4ade4a1, 0x73fd021127db2008,
0x1e56cc63984cbbdf, 0x884aa70a81db42e6, 0x2230ad7167d0a7ee, 0x6eac311bf6f3a5af,
0xa6bb02fdb15ad981, 0xd53d933ff264dba9, 0xa46551cb65cfac45, 0x666c41a76471a819,
0x7bd7ba38a851312a, 0x480fa8cd7fa30feb, 0xa5c42ef922662d51, 0x0afa1c9a8be1ab4f,
0x8d9c9aa214346d55, 0x516094082cdc3e18, 0x16a963ea107997d4, 0x8280001138c15cfc,
0xe4ab234bb9ff258d, 0x69880d3b6699086d, 0x3d7d3d1e32308eca, 0xbed0774a3daa1b2e,
0xb6df4485983a76d4, 0xc6fb7d520aee753e, 0xdb74f71648c81d1f, 0xb88725df36319c29,
0x9d0c477978210a58, 0x841060a628470c02, 0x70ccd8bc370e425c, 0x1634e628b865cc42,
0x0e037ed34a49d063, 0x53cdc28cf90ff0e6, 0x348b5047fc84dcbc, 0xf79591be4e039c0b,
0x9e5db80c33f78fb6, 0x69ce92f11c21829d, 0x919dc94a46942844, 0x0d8185a00b9273ca,
0xbb19136e4077238d, 0xdd9d4ca7441d8075, 0xd51e8bfd157c3dca, 0xcefba865bb345540,
0x89564e91dd8456bc, 0x1029166c5b13d782, 0xe02cd50a812d2c44, 0x654de0c9dadd2e89,
0x14709b5a9e1a3379, 0xff2a7b2dc49a6ce6, 0x93bb630b0c412bd8, 0x11f4f036687dd7c0,
0xee7fad8f341b1c8f, 0xaf83447eca86634e, 0xbd9c1795dc812ce4, 0xb7099de7e683f6bc,
0x2d39ca5fc097f911, 0xfdff3a8358576b7a, 0x272beaee1c8f9796, 0x726e78ffdbc59ca0,
0xb67d5853eaa0c878, 0xc03a497efc478336, 0xdc72b0f36a94a20f, 0x15d177b6ad45123a,
0xb887bb864c795fb3, 0x6566180c005efe01, 0xb3b53dc1f6851821, 0x44699e38ee0a6581,
0x1c55a93806333642, 0x1fcbc68cd58d1cd6, 0xa244bb60d708e219, 0x07173dff1b5350f7,
0xb8715e9116baeff0, 0xd3752ba762ba2ca1, 0x86d91965e5a31a56, 0x3c27c4951d076d17,
0xd41f651c2ade59ba, 0x8f2ca8db21b97bc5, 0x1c2a1efdae15b528, 0x96977c9dcdba8c3a,
0x91c8ddf3688697af, 0xc2de47e16a2fa935, 0x01d09ee453aeaf90, 0x9dbc205a2b000616,
0xc7a82e96d594c62e, 0x3317b8eb5b8b73e5, 0xfff7c8b4c3a32096, 0x6453b70094e3358c,
0x2b1bae699aff8a4e, 0xbf7b4736ad753b49, 0x20f6e0752f5bfc7b, 0x497dd9715e1cd5d4,
0xa91030923e88ceb4, 0x602ac3f33ced7c4c, 0xbf584ae8dfb8e2d9, 0x3105b41ec3549b6f,
0x163d3abbe998423f, 0x51234aac25187982, 0x8770f9bcfe97c132, 0x1800daeee2fe2a88,
0x0f02b3a8243fd4aa, 0x4a536e070e2bc9ae, 0x628c64308bc9c315, 0xfbecf1323c9722d9,
0x331ad785fc3e1d41, 0x5f5508bdfb62937d, 0x91a3214706923e0c, 0xfc796e8da1017f42,
0xaafe90f59343d9bc, 0x2d136e33a60bef49, 0x02f9f2c3db9d0229, 0xd4892cd932be8419,
0x79c72ac302f0d281, 0x8abb8e35b1d94786, 0x0c6de808c0c12a8d, 0xac6d4d8e5b9c2ed0,
0xcba0baa1708e791d, 0x4bec127f651f20ff, 0x261d3b5a50d67450, 0x0fc781b9f92cd6c3,
0x383faf53f2a71eb8, 0x0c20e971447ba60d, 0x3bdbd7533c088d5b, 0x56c8661b6d330584,
0xb60ad35ea1d2263f, 0x737d7418bce8ebe2, 0xdda539ab99ec21ed, 0xe5c1cea1abbce298,
0x4c92449387476985, 0x9c3be4e72e40685f, 0xf6d9c228a9f85902, 0xa44764c91adc6a9a,
0x0db0d2ba599a7553, 0xe3788aa1dd74946a, 0xd239baffacd81b2e, 0xef52f85666c340f8,
0xaaadb6ea9b1c8a45, 0x86fc426284837b81, 0xb33810a5001fa2cf, 0xf990bd17f7e2ecf7,
0x14aa4676275e6c1c, 0xf19a05d12146d05e, 0xea5f3c7c6d5b9b4f, 0x32efb45c62042da0,
0x7f430093a67ce3ea, 0xc8f47792c4d16d4a, 0xa7e72976b7f5e237, 0x26550333603f8d3e,
0x9b8fe810f3c3b225, 0x65e904778694f5c3, 0xe18bde37757c008c, 0x4fc064ba9ccda596,
0xa6ec138b14e30506, 0x064b8d8f63af9202, 0xc3783b153f753ecd, 0x20315c3032141460,
0xbe04af9758a4cb35, 0xa7f4476ceb2653a3, 0xc4699159169fac3b, 0x4e2d709e9b1d01cd,
0x4ec5972ace479262, 0x2fc417acdf559f30, 0x0605a730b11000e5, 0x8b65acbb6a17e365,
0xd967fbe917266184, 0x1c10125e01f5db0a, 0xbf638c23b61967f9, 0x71b359fac654beb9,
0x9d83451d64277002, 0xc8777ce755abe4f8, 0xfb4530585d7e824a, 0x63c28165d9737d56,
0x7d9dbb4c39824fe3, 0x469e8165902bacf8, 0x5fad83c408ef9c40, 0xf8b2d576c30d1026,
0x29f9f4bea44b1781, 0xac726909624bfe7c, 0xaafd751738177909, 0x90563245ba1c612c,
0x389ec2a7d7e59ce3, 0x50500c567966d3c3, 0x26b15bf6cb1ad6cc, 0xe9080fe122c631b5,
0x17f6dabe12e3e5d3, 0xc3f85d05a0f070f8, 0x67d33630af152ed4, 0xdb3b4096c5c332d7,
0xc3dd07768e70b774, 0xa1e0b82d0516b75c, 0x867ca995ad903a61, 0x4fcd47a488ba6d51,
0x6c6aba39dfc7d00e, 0xab65e0c18b16269b, 0x09ba717e85654122, 0x07e4cb761fb1b0e5,
0x9265799c5d55a837, 0xf7e6d513b6437316, 0x94a696b3988e41e6, 0x2607761bf2629a5f,
0x973e75d9df82ece9, 0x48730461eb3c4d75, 0x5796dc273ed9d51a, 0xf325bafd97b61151,
0x7007d37e9b53ea4c, 0x3368fe5e05f94087, 0xadd778da036b0736, 0xc31fcbabf6fdf8d7,
0x35de52e719187698, 0x1d2f3e4087fa3c08, 0x8047f5eb6ee05190, 0xd5add1eda45df387,
0xc2431d8a98a8fe49, 0xb1c0388fa3162e61, 0x1f0ab07565c55677, 0x7f3b14c57417b083,
0x1f0ffa4f1abb4291, 0xdfec55dc328de4d0, 0xb792695f0a121172, 0xe684ea8df0457fae,
0xcef58a827a97e9ba, 0xfd341be16fb9e359, 0xc87a2331a9fb1692, 0x2527b948cee2e7e3,
0x5e101fbe7514323e, 0x0d06560293e73c10, 0x1829f79b98724d80, 0x0c6ea39a34167a64,
0x1da654dac1c2b486, 0x4381d7a197d73b93, 0xed2de677dfea2660, 0x98cf929f0489101c,
0xd6f382504a8d8ea7, 0x483110e79c14ef66, 0xce485d95bbc34776, 0xaec1a6a8430e7289,
0xcafe578fb670a41a, 0x61243b580f10d832, 0x221c3043ce630b2f, 0x8e8705368c784121,
0x7963cf963518f155, 0xc21b75f27e48406f, 0x8f2f2bb31db2a418, 0x467a4ce355531acb,
0xd45bfce4db6ad410, 0x116a3d9dbd9162db, 0x26b549e62d30c113, 0xb4799b40daeb1ca5,
0xac6d4450ef27b16a, 0x51303f5d166ed3ae, 0x2a7b47acf0255aef, 0x85c10733b0fd7de5,
0xfa1b80f6fcd647ba, 0xc3b3a75c8e36ba96, 0xb89f7cf587c773bb, 0x2585e4ca847ec1e1,
0x8f587f5b9b828303, 0xdaf3e553b32110ee, 0x5a080e99f299f28b, 0x60b02561cbf056d9,
0x819439e181a81c62, 0x68e7551c7255e324, 0x8e47a1bdf4e2642f, 0x30b7c9517b5baffe,
0x2effcd65da6cf6e5, 0xc0e53b063106b643, 0xd1ac9588459392bf, 0xc3a9b3fe5c4914b8,
0x6fd4a4e70d53afbc, 0xb16f9f98ee51d7d6, 0xc372f1f76b65fc1c, 0x7ace9609a780c6dc,
0x4b62ba7528b34440, 0xba37cf920321a2ec, 0xdab82152af4d36ec, 0x359da66c3e405aa0,
0x32133b6e7e57f6b4, 0xfb739dd61168c5ee, 0xfbfc045b30bf74a2, 0xc1c2002bb95c9009,
0xfb0e87292c13de33, 0xe6a1ada23c8a0b87, 0x4a4ad963b5c4b22f, 0xed9800b5e15d4c3f,
0x1d3fd890d8ae7729, 0x46aa7d9d9bae01b2, 0x4f6e3a19e1a8fb67, 0x2b460d0337d72c74,
0x7be622092baae6c5, 0x8949c3aeda3c2feb, 0xa9d884a9e4704860, 0xfd3dd63e0fd6e075,
0x5de1715bbc8b024c, 0xaebb8f1195f7516c, 0x3bd0bf7a3f4a5378, 0xddd22dd5c8597960,
0x94e9199dc8d209b4, 0x5de530f34523777b, 0x51ba8ba0b866a17e, 0xfd55a04a1d22b19c,
0xcdb238bd4130d0d6, 0xa06aeb43357757f5, 0xa475cc0cc62d4527, 0x6d0e779b6e6a8758,
0x713405fae15e9778, 0x0f00a2b27568a6a3, 0x62bd58efbe3090fb, 0xf05cdf4c267eb1b6,
0x5e62d04738221b8e, 0xf5b9900f1295612f, 0xa0e5749d177233cf, 0xc44c5592311f8054,
0xbd52eb6cdf769fe2, 0xdd0d254454cf2122, 0xb981221ff70b0658, 0x3c36fb55ff496fd5,
0xf430a57f99390967, 0x0954ace551e02989, 0xaafe4ec82b2d9387, 0x6d9fb14548a4f4bc,
0x8031a9996ef12134, 0xf6416c9d68835bd2, 0xaffdc09d53a51a0c, 0x19ecea50392e51e3,
0x34a13752a3b17634, 0xee74fe197f0a21c7, 0x428f82d78e4fdbf6, 0x43d9a86b4ee32b41,
0x37bcb35d71d05a42, 0x6f9295c16c0084c8, 0x83be0ff5413d3a04, 0x3cd1cc1bba243b00,
0x9a355c5fe780c65d, 0x96f751125aa49305, 0x4996cbc8f7336602, 0x0c35ae189a910bda,
0x17aa114cd1e76239, 0x3b9a332aabe8563a, 0xe1275ec7a3241720, 0x7725b43f265d42a2,
0x652de643921dc113, 0x95074114a43d3ba2, 0x6ac46e80d122a80f, 0x1af28df0f5ddb5d8,
0xc49b4fcafd637609, 0x60812edd2d354b6f, 0x3491bbfbc599c6e0, 0xfc5c0fada9da1453,
0xb9d457569b43643a, 0x70ba805435dffd85, 0x128cc37ce3a2d1e3, 0xa5e7f2845bf10011,
0x5a9599124872a087, 0x6358b4f5deaff08f, 0x2d11e3e6dc803a0d, 0xe028f2b88218e837,
0x0f71a38a839a4b4b, 0xc92a5c359039daaf, 0xb2cc835b6228f5db, 0x8ae04d563cbc4d7a,
0x1c1cac7a75e61830, 0xfd2fd5f227d0984a, 0xaa90ea33113594e1, 0xf9e02ffebbe576ff,
0x5ce891014479b80c, 0x605419be299f8523, 0x83202fb7a4ae2a75, 0xf6e64ff96707e5d7,
0x3ccaf13d7dd066ce, 0x01aac585c5b5e009, 0x1b4aab8014566d6e, 0x11e7198efab59ba3,
0x24a323f70fc7120c, 0x5609b08316141155, 0x98b0a7b806547c85, 0xaca41a2e51149415,
0xcf751f8bd38bf1f5, 0x58ccdf65c8344efe, 0x6c72df390c015ec8, 0x133f9c9c23306d85,
0x61d1cfe15b558202, 0x6a3c4c3582a5f673, 0x637f9512f4c797a7, 0xd330644463579ff0,
0xf16e1e34b4ee7ea3, 0x618000e4502dc31c, 0xaa71c457381d0335, 0xf8d920561946d767,
0x9cecf035b94a3d40, 0x3e4545a17b61d5d5, 0x1c3564aa53e6e73f, 0xc2f4bd3857b00d4b,
0x211858b81239b300, 0x5e4926ac16c86f0a, 0xe83e64adca66d4c2, 0x63f875c830616302,
0xc6d8069d2b091649, 0x92f747c0d271c5eb, 0x39fa58b367129527, 0x4984ea9b3a80ff9d,
0x354da29136527160, 0x997edad9709c86fc, 0xad497e23b94da9bf, 0x7d12cc94bd4d5b76,
0xcabccf6f82027a0d, 0xed6559dcebfc6c95, 0x2f81892df9e2941b, 0x83c3531b95bc842b,
0xe48a4ee1f58654e0, 0x05fdbf72d0daa87b, 0x51ad2decf57851ea, 0xd61ba55be8f651a5,
0xceed919f6700c3e6, 0x763257403bff52ef, 0x61af8a4943b1a111, 0xddaf8c619a405fef,
0xd722bc84759b7dea, 0x35e5a14698bb02c2, 0xadcf17d7252bb6e3, 0xffe831ce375687b0,
0x02a7b4f8dba11145, 0xd4e67ff0a1cc75bd, 0xf6bed864cb3c0f74, 0xe379cc57b232b594,
0xb6599ef34e3d74df, 0xd06b61e56f72748b, 0x2ad1cf0c57a4d409, 0x98afe437bbe1e3aa,
0x1e21f20f87f1dcfb, 0xaaf3d2c81546a6f4, 0x7d14ff98c8a0d395, 0x3664b61f266003a0,
0x707b3ab273ddc773, 0xbb486f128f8ecd85, 0x7a396e34185f08f6, 0xa9d40d14282ef537,
0xad0fa6ce1e0d0138, 0x990146e8ced1b2ef, 0xb73509ea936fd5e5, 0x8408168b79b481aa,
0x9217fc8086230dd9, 0xaf81fa1a7a00519d, 0xd3c65b61ac9d8d7d, 0x3e83ff6d216d466a,
0x6393d00840e8fe0b, 0x5195eff7a58ecd18, 0x7b7aabcecde2f2bb, 0x1553aee7976dbbb9,
0x5d7f749ca175d496, 0x6292f95e5d333f51, 0xffe7f74bb8baf5a7, 0xe9649e0679728c39,
0xa937ccfa06522d38, 0xa7495d7e37c3a928, 0x974158e812ddc092, 0x9a6e70c82ca0b636,
0x4ba73f678b2d9ba1, 0x752ba57f558e6a5d, 0x9586e2990a7af7b4, 0xa486d8ada4ae89fd,
0x15ba224f45406dcb, 0x5854cc00ca213240, 0x12cd7a5d7053add0, 0x960b6b398a21e899,
0xac81ded4ec6e91d1, 0xe148de8034d93ae0, 0x3084579bb0d44847, 0xdb718742421f4cc0,
0x7358c2d19a2d549a, 0x929c1c9f9de2d932, 0x269b4d558077ce0b, 0x25fcf5912e113dc7,
0x04cc755f9b71f92b, 0x54069e1f886a4974, 0x5789c6348dc58a5a, 0x1dd27d9819361398,
0x7a2c2390a9dead06, 0x836b38bd06ad26e8, 0x735114cacf0abb97, 0x4ecfb2f5999e82c0,
0x85cd7efe9da98029, 0x88e472a38d18b4ce, 0x6e0a3ee3d8777812, 0xa05e44ebb1425ce7,
0xeb884cca4ee53297, 0x67a0f982cb5689e9, 0x84fee0ff278b4fa9, 0xa002601e44d5e266,
0x95fa98bbdae12807, 0x118c212dbb88133f, 0x9ede913100051a91, 0xd354ec4f9b29f406,
0x032ab62fc51a4ed6, 0xbfa91cfd68c85311, 0xfb98f0ef27647507, 0x5e418f8926b631ad,
0xc17e3e4fee8c4e5a, 0xc221a1b7acf82d68, 0x67bc9540ebff48f4, 0x390b760628e7982d,
0x0d9a4b18c65ca2ac, 0xe27166e392c64490, 0x081ae367a842acde, 0xa041f47bfe8bde53,
0x4992b5f7f17e54af, 0x99c4a493193d843c, 0x932846bd07cfbaba, 0x1de956fd8e865a43,
0xeba2f84cbff126af, 0xfc5a5703ac806638, 0x47cbc2aece2dfa99, 0x20cbbf78bd8d99e2,
0x22f23b1804c21205, 0x401b1e0887941f00, 0x4421d0c0c7631a72, 0xb7cdbc7b4156fde4,
0x61fce30f2abd51d0, 0xbc70fa9f22178665, 0x94516d4d06878320, 0xfb4a042f53e53e96,
0x34e40b1d511804ac, 0x22f37391e01602d1, 0xc280b1aa78edf92d, 0x0efbce19d6a90f10,
0x2bd9185734d40dcc, 0x213d47ac1e778360, 0xc63af769b6d25114, 0x13232c903e39fab3,
0xb6757d5b86fd514f, 0x1a6dd98096301f47, 0x18bab6a726908647, 0x05d536ca761feda8,
0x15bff4d2b834d102, 0x0ddc2d840252dd3a, 0x766542ad05502aff, 0x109015445ce703d5,
0xae20cb8c3d9dfea0, 0x46c095b0284fdcde, 0x2aec0ae73dbf67c3, 0x85bd72390c54277b,
0x85d589367f593a03, 0x8c18f9bb056fff2e, 0xfa2e3c913319abe9, 0x9ff6e4cd79254ae9,
0x03fc24efd2f3d4b4, 0xb2706372e82111fb, 0x097721ba480b1e14, 0x9e06c158cd3746a9,
0x683ec04d3612e0bb, 0xed3a15599cbe3da5, 0x807d052bd2d5260c, 0xdd923767b4122b7b,
0xd186423ef1afb4c9, 0x22ac6c53b4c862e1, 0x13da7b1fca53e5df, 0xdd5251565fab22e4,
0xa1197271cface62f, 0xc877adf578cd19a2, 0xee960066597841bd, 0x366359a40c773e2d,
0xaeabb0a3600f13fd, 0xabebe74e161a2d18, 0xd71b9e26fe2b124d, 0xc4662e6e1f313619,
0xfe173a50c65e8caf, 0x1bec45186302f028, 0xc075ff623f3bb554, 0x4323d08715ed7717,
0xbb776e2356075217, 0x1de047b5503e9641, 0x2e1bae289a76bdd7, 0xa757dc4e78636ced,
0x1095069123a4d1f9, 0x3f14e9b797008cda, 0xec63848d50b81ff9, 0xaf3b5cad36a95559,
0x233f53e5cf01a158, 0x5c8d2abb26b8dcce, 0x6d7537e21ef21ad0, 0x3c97225a9782d11a,
0xa6d3757ad819677a, 0xbb1692af9785433d, 0xd185a54d16cc6631, 0x39a85ac7b47d54d7,
0xb1a3cc96aa01e9b6, 0x8e7379d626c41f79, 0xde4e39bf11f63063, 0x3583d9a70f56bdd6,
0x4a41104b4edc1f13, 0xb32372a1e2403d80, 0x24f4942ad83baa34, 0x851fed6fc80a5dab,
0xcf66b12331d0de29, 0xd29c8987a3759f4f, 0xb724eca99bd71bd8, 0x998eed25e5462fd7,
0x18cc0667b23ed309, 0xa1678d75c0f9970e, 0x0e94c4407c882ebc, 0xaff49c696b108ff0,
0x8b85dc03cf67af83, 0xc3b8971a2c053ba2, 0x51b58872e31237dd, 0x270d8a4bdac2c029,
0x592315a7ffdee7ab, 0x6f9616538e5248cb, 0xd3852c3c412ced71, 0x627199cb4cea1797,
0xcce13b89571aae9a, 0x6d89ba4fb0251209, 0x1c9f50ab6c243e6b, 0x8aa0b93b2dc1383c,
0x7f548b6e1f79e9ab, 0x0cebfb32a3be244f, 0x017d1af1793fd3cd, 0x00ff6670e1a38c31,
0x36eed14d0e34adc7, 0x3abe441ae4f2a164, 0xb72d2b9e2fb7d8d3, 0x9da2accc7a9055af,
0x97d125518e51fa97, 0x99c34b9a44826d1f, 0x4f4076a28ddf9638, 0xf9c53f64cc369d29,
0x511e0048328995c1, 0xa88a11c39be88ceb, 0x2cf0f489fdd207e5, 0x9340574aef831f56,
0x804be4f3f31293ea, 0xbb4faf64c2a79175, 0x7e1b92775f22058c, 0x64ddc9fad2caaf6a,
0x0cc102dd78d54fcb, 0x75420b65bd9076d6, 0x43ad0f0faf4e6657, 0x7b7be9498e27286c,
0x28ebea8ca428e47f, 0xb8261eee41c26b60, 0xfb9699617411b1bf, 0xb2f5a238c8e024f6,
0x7e6243e5c35f8bd3, 0x9d8a370c1d4933d7, 0xf90035f232f83b9d, 0xde869941089e4792,
0xbb56c69fc5e94c5d, 0x3c20a31cb2acfee3, 0xec681c5669d1aed4, 0x35f813bbbd63efc8,
0x230bf3de5360fa81, 0x019ca9307351b1ea, 0x89483d5f294ad0d1, 0x2d26d5c3523a7bb0,
0xf448b3a734829026, 0xea966ac84c0d84a0, 0xbbc75b0df9cb45b3, 0x223fc92dd877705e,
0x82116ddf8aa5f946, 0xd833740e0435e67f, 0x3dd62d9029b2c9b5, 0x9d586c02e7d84980,
0x053549bc36234aa6, 0xb714a37694615d34, 0x310fe9eeb979f658, 0x49195c1ebd4390dd,
0xf8eca25389e4ad62, 0x3c0aec86657896d5, 0xb4ff852a39a579ed, 0x746e85d2c5b681b8,
0xa79919f1fed354ee, 0x3b5af8c711d7552e, 0x2ad734a81d085256, 0xace41048241012e7,
0x136b210fcacc5cba, 0x9030ac05d3bc5ef7, 0xae4581e0662ea88a, 0x9dab74fde9f5e395,
0x97c99675e85ca95b, 0xa6daedb7fba8027a, 0x627efe55a1a9d222, 0xa1ca5bf7d9bdb3b2,
0x7f9a4f4ff38af6a5, 0xe6daaa3132c047e9, 0x8ed319a4c49017d8, 0xdecec69b23dde41c,
0x6252770bd96b69b8, 0x57a7550df92a1734, 0xa515e7cc2adc773d, 0x4a0275ace8116020,
0x8d457d4f899101da, 0xab405c20ee2cc2e7, 0x3dc8c539033cc8f8, 0x1722b2c04c0bdb46,
0xa5e9648b2dacd730, 0x7034710480a5bd9a, 0x7eac55fe42fbd17d, 0x09289386d2f4082b,
0xd1a2f0078ce8def6, 0x1242812623174229, 0x08599f664d91c228, 0xc81c406a7396224e,
0xd509938218066269, 0xd2343389470438bf, 0x3447fb9f941dae35, 0x004de4a9a48ac636,
0x27ca90f4689c2301, 0x2f3412defbbc0ce5, 0x2ee5bb659869f6c3, 0x15261632db5911f7,
0x4199cac2a1336353, 0xebf5478d0e80e1e5, 0x48e4fa2e689db485, 0x9f8fc1c1df2169c7,
0x58acc70991dedf76, 0x32bd6dd6df76e594, 0xb1294d9a558addef, 0x939f07081590bd58,
0xe7353289595edd46, 0x6843a58ece448307, 0xa4f54869bbaa00e0, 0x3b74ece02c301fda,
0xe5c428dbe2f92851, 0xa968e8cd8720a09a, 0x04200b07e3772957, 0xf5ea6a41259fe96b,
0x51ba8890646974d1, 0x23a5b771eb9ef59a, 0x8ce5a677e27e30fa, 0xcd275c9060dad20b,
0x3db013fabfb3e7f0, 0x05285a98f8dcb9df, 0xfa1f29b103bbb7ef, 0x99b296a1cf43bdea,
0xb4a6f3c0a0b38b3d, 0xaeb12c1aeb5f28d8, 0xae2f1f03eb3e3968, 0x9693b9a888df1b69,
0xbec2bac7d73e3d13, 0x820cdad7cbb99d6b, 0xfe541ea866e19a24, 0xf8e2001b77881b99,
0x4442c8e030e9d71f, 0x3370b7879f9014e3, 0xb37106c5ed768dff, 0xf5f96b4753b52deb,
0xeb5b72aa23740779, 0x3c02fd793a6a8c6a, 0xbfb37fd699f63b3d, 0x637caaa95593d047,
0xcc3db0ced7526e79, 0xda0ba925cfaab89c, 0x0a1e599f26764a93, 0x98619f3e4d9ae02b,
0x9cfce1cf38a28a84, 0x49e24fd3eeb4444f, 0xc55ba9775274a5d1, 0x4039064d18391462,
0x49bad4dba89b74f5, 0x87a4287d22a51523, 0x08007c717cdbd135, 0xfde0ad0c0dc31b17,
0xfca05d8e9d566c4a, 0xe1c22849a715f865, 0x4f77083d9194bd32, 0x04de5434dc8aa50a,
0x8786c84405db498d, 0x451cf2e8867c0994, 0xf6277144136903e6, 0x3d442f97db571722,
0x14afeca0645cfaa3, 0x1ca827f4190b6464, 0x9b1a7cb30ee81922, 0xdedbbecf9c1f0335,
0x7f4eb403f969fea2, 0x5ac4f8a651f1348e, 0x003fc5816243b999, 0xe5fe41ff42ee5925,
0x973631b960509287, 0x06a13b8162813286, 0x9f9f8709acd52ff3, 0x5c11e094abaece8b,
0x354a7913bd03c8a2, 0x2eafde865751f313, 0x0b8712a8ef75ec69, 0xe848590e2df8c405,
0x60770245efcbc022, 0x218656367a1d7070, 0xf44c069e7f97795e, 0x72b0541de7a5879c,
0x08358548d77ac787, 0x92e2c32dc055d4f8, 0x4cc1abe176a5d932, 0x9ec9aab004d3ff13,
0x0ee5fd1c3b8aec79, 0x5d8f935675f05c32, 0x68ff2e62e4518e70, 0x501f9f82e0fca152,
0x842603f19c33c874, 0xc735950dc7e2f996, 0x8c1d99be490e3597, 0x8e42d0e66230fe93,
0xae329aa1564a80e9, 0x5649e17791c1ef21, 0xd02fb4de5056b33c, 0xaf53eb7e9c69160f,
0x526587c48aeb958b, 0xe5bd7f689e8f1d01, 0xfa7c125443e9cf4b, 0xda376c156aa7605a,
0x7ec566537c0424d6, 0x8c1a06af932c661f, 0xcd9125069014bc3c, 0xee08acb4bbfc0cee,
0xe6501cae883efb79, 0xa6f190b1ce1a8394, 0x2c8f90c4a264b718, 0x34a813d4c676a289,
0xd9ac28124c66cdb9, 0xa84842ddf899fee5, 0xd6f4dfb2165b1a4a, 0xdd9d2eb71a17b11b,
0xcd78677ebb392b2d, 0xec292883c27357c7, 0xbce91e11f9830d92, 0x7aa8b68435489adb,
0x54eb584bcdfea954, 0xb8dd62f763e7e58e, 0xa438f6df8db982d8, 0xca9441de3b544abb,
0x1deda190c70f9a4a, 0x445bb6ced6490995, 0x76bf6a3ded7b314d, 0x8a66f016dfdfab07,
0x64a21901e2bbdbac, 0x191ff6bb807fc7f4, 0x86b368995e99d41e, 0x417e6535be219210,
0x1491867633f53559, 0x0cecb02863af988a, 0x8e4e386e752beffa, 0x4ba58fed077cf4a5,
0xd777631cb7cc0ef3, 0xe11c0ccd18c90c4f, 0x9343426a5050f38e, 0x55efc291307ee56d,
0x0fbcae5d59aeb627, 0x288b467aa5bdfbca, 0xc0a392953f680019, 0x48916fc91ba84c06,
0x4a8b4836ba342ed5, 0x03142a9ea4c0e59d, 0xcf342a86d47380b3, 0x3454da8dc9c8791a,
0x0260f14f96803fa0, 0x973bbe79a5f164a8, 0x49edc10d9edee956, 0x0cf5cacd8fccfba6,
0xdb4f8f51bb534076, 0x470b7f9d70824b90, 0x1a2e4d589fbe3c75, 0xcbc03b148e363146,
0x99ee702383e08652, 0x7d3a7bc2b1d17942, 0xe29dbdde2a789780, 0xd05be133837d8a4a,
0xf2657c5783404faa, 0xe4c60bef204ebf83, 0x8af681c946077603, 0xa4c30856371c7ea4,
0xfd8491493be53498, 0x65b4bb5c0b432d37, 0xf36cf84d1e69c2fc, 0x72540952b560db4c,
0x926fe399b48b06bd, 0xbe7bba0600877983, 0x78756a5857287bcf, 0x39344c4f631fab92,
0x8938f0d75f41bb00, 0x62950eb07231d85c, 0x151250c44835e534, 0xeaa6153d366040b6,
0x0399ff3ab9d2029b, 0x4f9291ac66bea780, 0x5538b8774466b317, 0x104a472bddd01ce6,
0xbb530a2727a7c317, 0x12a408915c974a92, 0x02d8e5447e228765, 0xbb6c944b06c2be01,
0x860518c2841ca8a0, 0x68edab4683438cfd, 0xd5764f712a25913f, 0x14a6ec6cfa7c3115,
0x6f0cc123ec798547, 0x19ae22cc367c885f, 0xd7be6d5f449e5951, 0x8555f4f8fd21152f,
0xf3335605e1495f41, 0xb2ea3183d8e360a9, 0xb6221434c5c90c63, 0xdf215d9c2e93390e,
0x98519ef2b0af8143, 0x06044c2d81e1edf6, 0x645f2661d1fc17e2, 0x469a5d2269c3b05f,
0xca70212744447558, 0x07a4eb3b4b8e8cfd, 0xef200622675d49f9, 0xd7024c3ac1a6d90c,
0x5c54fcec35596bf2, 0x030e135fcb8673a0, 0x9f1cc6537857af20, 0xbf75a9960af6a424,
0xa1ce52907049fd5f, 0xb85d9f1d69b9e757, 0x85beffbfcc396269, 0x0bdf4af30f73131a,
0x74e5c58ffc16a8fe, 0xc3cc87ed72fe0e64, 0x604c1bc18d443cba, 0x9a1b8fd3634f1d41,
0xa33795d2516fad6e, 0x99ac9eb1c2ada062, 0xa2713d9be0bcb94d, 0xfd2f6b2989fdf4ea,
0x55e33b2805a13f58, 0x2c7bd9290ee9b966, 0x81fd6f83134014ff, 0x179f8894deefcc6f,
0xc61c8e56d5fdb3c0, 0xa4e5343bc6afdde1, 0x36ad5e9310f6d4eb, 0xd5fd90a79e27cc78,
0xd8ccd606e4d48e8d, 0x25f66a9cc989fed6, 0x3d0402457fc4bae1, 0x612733dcf3d0d07b,
0xe38fd4832db05d6c, 0x8e2809b7ea934954, 0x52004f18865f4734, 0xbb8ee10a8dd754c1,
0x0fd0437b265a01b3, 0xad6498e5df9586e8, 0x8e143ecbe7db3bba, 0x17331ca3a86566a0,
0x50cf16807d23b56d, 0x7c52f40e61c17c15, 0x70aff594054aca7d, 0xa9005fada5801d62,
0xc2c62f1740a8a26d, 0xccccb11f991fb387, 0x2f38ade83ab14eac, 0x33a947c235f4d753,
0xa5625e617031d563, 0x4f964fabfa8b3b58, 0x84b4e9eaead9b63c, 0x6df29966734e4146,
0x11dd7ce026d0c29a, 0x9963e5fa15f8d521, 0x1e20c4ade063847d, 0xaed43f08f72a9080,
0x3dd7ce36cef85b37, 0x78e5e46f7874aed5, 0x5ded630f68dab2fa, 0x9e41471fb56fd63b,
0xda4d8c5b0c650d1c, 0x9939dd39cf15b48c, 0xc4caf8da2e6475b3, 0x783e1a913f0b79cb,
0xd6131558db68427a, 0x544774b505054d4c, 0xa30cadbbabc33d9d, 0xa8d250afca0b7a81,
0x36f07dfcde5fd8d0, 0xd25bb4feb8a0b5d6, 0x52cfde1125affcca, 0x95876763d947df39,
0x916a38f31aa8c326, 0x7fbdbbe0054a44be, 0xf26e36f7c5eb7a26, 0xdb7ba35f9caacbbd,
0x8de921ce9854cb9c, 0x83c48c8ba5f3ac18, 0xea86332217508916, 0x89d816e3efccd171,
0xea8314449612a664, 0xf3afd7b04e3e9dcd, 0x0265cf8252d368bc, 0xd9b9f2c5b09ab82e,
0x1be9d93315e7e8e8, 0x4e263044ea592f12, 0x4390a239830f4ecf, 0x55c249d481ef6a4c,
0xb263e1e7553222ef, 0x11ea971a5642c42c, 0x7894d600bebd1abb, 0xdd6fb6941031338f,
0x29568a2c0c94d52d, 0x01315555449edeb9, 0xb8a03366e13184df, 0xaafa5d4593a6277d,
0x066b638835960be2, 0xf5215adaeb2e42da, 0x020ebe86ab18e836, 0x1999e5c85d17cc7c,
0xf2d3af28af6c1437, 0x168c7ecd2b437f59, 0xeb96f37a2f474f63, 0x9de6b71e12e31189,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0xce9cd33d29a59885, 0x462405f2ec37fddb, 0xe9f95e03de5d9678, 0x32a499f45d6d059c,
0xb7a7c4ac40438c8e, 0x799106a722c97755, 0xeab902f42b28befb, 0x8fb93ba219f0fa22,
0x5c27fe8e7eed5abc, 0x839ae78e6885ba35, 0x65b2bdd6b571e366, 0xc21239b06a82a68f,
0x26426a1c44edf006, 0xa51b087898926399, 0x50dd06b95ff73ea8, 0x350fd6832d5d8a71,
0xdfffa1d7439e847e, 0x50ef50696acbda82, 0x96e7b1adcbe64349, 0xa661c7598c159dc6,
0x1d0b10a97d969fc3, 0x9ea34b494de74267, 0x4edea005f36498cc, 0x43ebbab5509fa12e,
0xd1952984a42c160f, 0x76e1e9656957f8b1, 0x61c022aa2b712591, 0x33fcaa4055c87aeb,
0xf2f3f62c4902c505, 0x2e04362a29622184, 0xf9a8906e4ce8d974, 0x67a92a7c276d6c81,
0x2e723cc4046cf6f7, 0x46a58eefe418a4de, 0x54146288022ff301, 0xd97b03e5ce48c366,
0xffc53f77c7e390f1, 0xb19ed264213168ee, 0x1d1cc4cef51ff370, 0x4b01018471a269bd,
0xd649cd3f8e77bc01, 0xc1c33dee731a6569, 0x9c3debf67492ddcb, 0xc7aba687e18eb596,
0xa47f2a85253d642d, 0x15ad913edb07477d, 0xbf47cc37cb52a10c, 0x2aa65065b10f5c5e,
0x074b5755d6c4c79a, 0xea72e605eff0a4c3, 0x7371a011e2152cae, 0xaf3b1d61e69d2d68,
0x4aeb6a54a16e2a41, 0xfe9ad97748c873d9, 0xbc8e5496ad667e7f, 0x4ed85c905f5fd5c8,
0xd8d82279edb41f35, 0x04d8b0d26beb0ef2, 0x9e2f258b581de408, 0x0f29dd95946735ef,
0x93893418172f05f0, 0x1568bfbb7707cf31, 0xffa942d8c58917b7, 0x4f196e37a79fb5c6,
0xf7a207f21b7fd527, 0x9c7087c54110e248, 0x34599d521c75b202, 0x6f14aa2f1155ee48,
0x0364d2d6a4f30f2c, 0xeffc87f7a5c96b93, 0x51e101275d5ce3f9, 0xb6e359d2545e7851,
0xdb4a8673c9e8f7ac, 0x9d6ff1c9ed137d6e, 0xb0375b28098ab5ca, 0x5f9f838ae885cfc2,
0x8b18c0d17dc8bd1b, 0xc98f728e4bcfafaa, 0xd49567385a62fc16, 0xa75b453d79e39f2d,
0x6005cfbaa2142cb5, 0x16a1ea8f9993dcb0, 0x9e1bdd41d5e86290, 0x4e6889b02bb09fcf,
0xc01af3d14afe6920, 0x2a10fc1dbba3bee8, 0xd5b1b81ec507c78a, 0x80b35ebe105e8a93,
0x5663a0c61d9a4ab1, 0x29f2ce0a4970da65, 0x3437b0ee967e6486, 0xcc33fd7763b4c8ff,
0x4c88c518fba76872, 0xd3bc1add7a67898d, 0x25f2c0438f15c0b7, 0x09e3614e693f9607,
0xbf02ea16f5a094cd, 0x24b69e9ffac17b7a, 0xdc80a29a1d7cda5d, 0x15456aef44d51c3f,
0x164377b5c09ff307, 0x5d3b7bb6ddd312b6, 0x87f264809e1f23ff, 0xfe227dd14beb4201,
0xae8c9cf168344e2e, 0x50ff5fb8ddebf65f, 0x5173c819ce1ff7f4, 0x9ed606fef487708b,
0x7e64c28e59b1d380, 0x5c3b447c6e9107ef, 0x572c36727f886cf3, 0xc9840d1b57464bad,
0x2c8ff89726b24e47, 0xf892e0865e58c01a, 0xa2087103a26e48f8, 0xfdee2bcd7ef8dd1d,
0x3b0af71e4d202b3a, 0x5f75bb3c3e51ccf0, 0xc16bd22b307df4a0, 0xa65aefa0ac503128,
0x8a017bdc76ffc624, 0xaed8345f8ed38aea, 0x9602ca421aa4a41b, 0x528dcb8d80e86035,
0x9a762a7150726cfd, 0xbdea0abb7806701f, 0xf83220cde8ab6637, 0xb1abb72b46da3b76,
0x0c949efa3a3e00c6, 0xdf0d1fedee06373c, 0x7c51a6ec518d8988, 0xb2ee6d2cb276bb5d,
0x688d3e5103671753, 0x697802d6ab4b09e6, 0x89fcd60d36e20fcb, 0x23a80b1141f19b8e,
0x506ec248de4b8233, 0xef56c410b27be458, 0xed77454335dd6871, 0xc530cee3e23f9387,
0x030bccd0c4749a78, 0x196533d441a8b1a4, 0x8e70fb05bd371e2a, 0xf11863a6929c5aef,
0xd592ae9078402490, 0x8a52f050f98e9cbd, 0xf9565b2d0752b3f9, 0xdd3f0411d9208eff,
0x011861f3bb22f806, 0x8d35f291fe54e90a, 0x8e3072b46642a9e4, 0xef2e5ab5bac38983,
0x0499e866da526590, 0xd8cec600d216861f, 0x969fe2788866ae79, 0x4e7de95abbff7b21,
0xab967470419117b1, 0x2a4e69c1efb6e380, 0x2b30525b18f750e6, 0x145d53c14819d8c0,
0xd62b283f3e9377b3, 0x76aec7693edc9101, 0xf4108695d27d5c15, 0x19925416b6c3bf42,
0x01ac9f16984d19c8, 0x56edcb1ad89f2722, 0x74eb0717070c195b, 0x1e06eec0e7654599,
0x3291c3fafc4de6b1, 0x4320ec8397d905b7, 0x928eaac9bc81d1b6, 0x41df3061bce0495d,
0x7910ab7408f81a8b, 0x11cb4e677c1d2c8b, 0x9433d55ca6cdbdd3, 0x697b5b6b6679dd72,
0x0a534b67c710c4bf, 0x3b8eb34678a993dc, 0x7e5bb5ab0d399626, 0x584009c610f43d01,
0xebf90e47110fbcbe, 0xd7ac0e55b5e96822, 0x2fd00b7ae7692bd7, 0x45e1b18bdd7a6c69,
0xc8516a0e57f9e6b5, 0x6926df2085a6344c, 0xd855d061b9c1b838, 0x48cd0f9525a992f6,
0x185d5a3e13ee333e, 0x29f384731b7d0d80, 0xa9e5d8e653987dad, 0x3da10316f3ed0572,
0xc2d82daef8504403, 0x96ef96361517796d, 0x0266355d9cd05ed4, 0x2c7a6bd43d20feba,
0x78895efb12b32745, 0x3742d880356da9c1, 0x417e34f04029ec81, 0x884472fc8ab3ef39,
0x940f5146848c871a, 0x8ad19248c6678757, 0x243da57d235ac0ef, 0x28d0fd48abd7624d,
0x6158403bad70c132, 0xf7ab64a82ff7bba0, 0x52619046950c6bc7, 0xb2fdbac92c4d3946,
0x083dbad044e357f4, 0x60b68c624410adb9, 0x2e6ebfca8dbfd99c, 0x71548e0d5a7f5c78,
0x81d02f04aa880e60, 0x6357ccf13d437a75, 0xed94ffeabfbfa03b, 0x8e384a7755249be5,
0x358d5c7e649055e3, 0xb6d566c2e5a72813, 0x3751781f16cef998, 0x10820cdda14076a3,
0x3244654a70004f7c, 0xdac80e58c4a1ee30, 0x39987eb1363cade4, 0xa1a250c689823cc4,
0x9248cbb92367da33, 0x5a18469337b6bb34, 0xa9b533e98d982f2e, 0x78b843c8248b3bd7,
0x47961e2a98984b8d, 0xc9a169f7c1116104, 0xe97a998bb5afc87d, 0x5a05c03e91324046,
0x0281590b1e3ec8a6, 0xe973965731f3f574, 0x02ad4d1dc419d93e, 0xe15f6d7e84b76d7c,
0xe33572ca39e2e64b, 0x4bc831af534fae43, 0x12b5c7ab2c5055b3, 0x01f1761317f91623,
0x18c1bc9d6eb955e8, 0xa8d3380abbf3ccde, 0x4de7e773238d55cf, 0xe4e87d9489b2ebb5,
0x13490e826637bef1, 0xbe42eb241fe28bd9, 0xd7217da58121a512, 0x95c6210e3bb74e3d,
0x7d1ac6eedf3d71c7, 0xc95c09597429a11c, 0x7e4e0784ab24f335, 0x6a0648890192e2aa,
0x9f2ab43c574a70ee, 0xba220b29f5ab259e, 0xa577d4b85131e5f5, 0x94807b00167be83c,
0x0886b0099def3843, 0x828919abc4bfbbd1, 0x15eae97bdecfa63d, 0xed521b0bf5c81e03,
0x187f918c504e6983, 0x27a6e27e62d4871d, 0xd9ffd99800a55bb9, 0x2c25c3bf0e9eda64,
0x48f921d410a43fcb, 0x28bf5c3cc5d00501, 0x3107de4e939e67b6, 0xd157c16234c09df1,
0xee14ebe712abf81e, 0xa405ba5ac727f573, 0x1cc7ed1b4c220078, 0x5d0d63ce07e8a984,
0xafbbb4e4fa95252a, 0x8ab805922a2db691, 0x9f0ee146313a0559, 0xcef92a673919d257,
0xce5b33395f8ae402, 0x9667edef08e9da82, 0xf40b3cf7bb5dcdf2, 0x94bcbdf184e25cb1,
0x5dedfc82529ee997, 0x8ee63d6a9e1f97f2, 0x2481ea70aec7978d, 0x1e9f21f31414a9dc,
0x2fda35696dd6ac60, 0xd4069eddc09b6d7a, 0x6fa6d79e8c61bad5, 0xe9124037debe0315,
0x875d366b1d3af1b4, 0x4ba41987997eedb7, 0x88991624e9ede339, 0x5cc4dd35a2482721,
0xb367ccf9a420d963, 0xd8c6563f2d4b937b, 0x47c2fd161e4fff57, 0x48a5aede3a1c7445,
0x46cc670e381c63ed, 0x5de239585075f497, 0x6ac290995c3d25fc, 0xd64b13a283afe917,
0xad82e07e9d132b7e, 0xdebe6c3d1234d710, 0xe12dbde426a63b9f, 0x4e3bcdec466c5c1a,
0x22302f851542552f, 0xd59a0a6d1c0e5ebf, 0x8bb0fcb16e2e5603, 0xb1860e0a5d47bacf,
0xc2845376cb0a34c7, 0x22fc99b6013828d1, 0x777b72cd26525066, 0x2eadf98f42bd63f3,
0x039531f19d8d7a7a, 0x0d3d6818069762e8, 0x59cad112f2434602, 0x86f0ef66fab5f4ce,
0x46b20d18f3e6240b, 0x7abb0087549e08cd, 0x5d8bd59edf06503f, 0xdb7f76320fffdad2,
0x4c381427bafd5b9a, 0xb899d108ae20db81, 0x2fdf4633fa384d1b, 0x94b107e531fdf6ac,
0xc9c5bceb7c1bd34f, 0xb3581b658ac0d99a, 0x1f8afbaac6afbc2d, 0x70d6156d43c6450a,
0x842926ed9f05e1e3, 0x1e6d518a2a71b02a, 0xd5b0888842e7a8cd, 0xd07ad72fd30f6845,
0x51f592161ae80305, 0x70110841dab4a05d, 0x240da5a951529478, 0x547debe7625e8e50,
0x02b34cb5e18d3268, 0xb0b8de2466f61cc3, 0xeb320d935ea9087a, 0x2fdc0c69b8b029bf,
0xf2f28aff0fdbffd9, 0x3b6f9c1c70a1985f, 0x80fe1e3be4166bd7, 0x559e5a50eecf59a3,
0x1730272bfd21abac, 0xc63ab0c6b68d10bc, 0x2e83d0952ef00657, 0x133bece3df9c86d1,
0x3a3bfbb20cc11064, 0x3f71cd6fdf036725, 0xf14b04848c890f44, 0xf08282b4dd96bdc7,
0x156c145f9d3bc14f, 0x35f0e9ef3f260eba, 0x18873d2eae28b782, 0x75bcb82cd079f490,
0x28326233aa654d60, 0x8a999075a5ac1ff6, 0xaa32d4cf56624d0f, 0xc2f2356730590c62,
0x2268f26231545ef2, 0x316ccc3d2a182e52, 0x2ede43ce94bc6939, 0xb40f57b078f099da,
0x326d2b364eae3a73, 0x5f0c296a215e1b16, 0x8163d17b3db4f546, 0xdab0077eed69c17f,
0x2e5d45958ef8de80, 0xe8c55b5a5d0da008, 0x9402720096064471, 0x3360b6f5e0bb04ee,
0x5a4ccc060bd22de5, 0x71be88fd4db728df, 0xbb327ad0fe1af6ec, 0x4fc7e1315c502a94,
0xb6c66ac6efb9a6ac, 0x89b4420f6243dccf, 0x88117f89779f1e8d, 0x1d23bd79a54ada3f,
0xce21ad66ba034da6, 0xdd77d94bdc916b84, 0xa1184047d8426aa4, 0x308844ff7cccf377,
0x11acc7444bc1b5f8, 0xc9592730fa52948f, 0xb988fa69c01e0fbb, 0xb191f4e6158c55e8,
0x54817f8639e3a35f, 0x9bbcb207e9b2e285, 0x022374a826b2e928, 0x94fe1ef3b1b5a317,
0xfa8a3242ea88bf68, 0x84105d09f940f62c, 0x3d631de06096d16e, 0x3e1643ae068e99bf,
0x07c632c36e8d1052, 0x3a66f06be5541ee3, 0x93a926f1069add4c, 0xf8d149ffdef30ac2,
0x6d083df690f8660d, 0x5efc819dd7142b9b, 0xe5360d972feb64f9, 0xe27189bad8a028d1,
0x6277d7c8bf8825b5, 0x07a62b8dc5ff4875, 0xeaadab7f777ea6c8, 0x4ab26bfad6ab0730,
0x193fb99a8aff3bdc, 0x44e06f020052fe20, 0x047499fd10c250ad, 0xb6867c613cb94540,
0x36a583541a5e6dd4, 0x022fe6942417e0c1, 0x557ca9a79a2005fd, 0x23ab3219f130ded3,
0xcea5619744cdb9d2, 0x90f5e84444e7b67c, 0x999bfdb1b0a00321, 0xb9bbacce16f1e0b9,
0x7a0199f827b1c6d8, 0xbc5e715932f5b276, 0xe554faaa36ce8d11, 0xc947cc430b199be1,
0x1cde4e48062b9923, 0x90c84902e022c26e, 0xabfc2e4016fcd0cf, 0x15e54c54b9c6e34d,
0x4d202a1c72ce809a, 0x0f476ab013304cb0, 0xc89feaa2a608b38b, 0x9d10aa03500a965c,
0x49e4de560a3e3120, 0x87cda8f9d62d6c30, 0x0ec3cee23d7493c8, 0xf2527e6a66f076af,
0xd2b598de696d8425, 0x8a90c9b8efb64665, 0xc15499c287eb2305, 0xc90f1e0566bfcc79,
0x37cec803ceb85aac, 0x169488496f78ef0a, 0x8e8183fb0371602e, 0x9399accf97ada886,
0x8469f7036c59d099, 0x50d075ac36299216, 0xb9591eb6c07b0ef6, 0xd6afe6ace6a660d3,
0x62417340f518dac5, 0xcb62885b79111c46, 0x32dfed8cac9cbf18, 0x66126697ef9ec8e7,
0xcc83dacddbe63414, 0x1e6e36ab7bbbfb5d, 0x2e5f5aa5265a2530, 0xe4f35d17fedd405f,
0x8d706506aa031bba, 0x157ff59964322be5, 0x42464562e8c99089, 0xf5dbf0b014951b8c,
0xfe171b5720fa323b, 0x497d8043a2e2177a, 0x41f4eab08a51276d, 0xcf4d14c2bfb42d3c,
0x7ffdd0933902452f, 0x6c6b6d8c4b0bc757, 0xa7bd93e472a74c65, 0x9e9c4d8c33b0af42,
0xf231c7c356874f8c, 0xe8ee3ec4868623bd, 0xec55f6e875607c21, 0xeff6cac772fcbbc6,
0x088be87fa8d71291, 0x65960d4d2a0568d0, 0x60c9c6e644cd577c, 0x85972db8164dcf7f,
0x5ea8a6c7c3d81e99, 0x6d183a1b547d4790, 0xd276b9b33785056d, 0x443b854cd2e6672d,
0x1215b60944725a76, 0x5f15c8b7bf72c972, 0xfb6888890cc71a2d, 0x467450209a4c9320,
0xbb87220766d0bad6, 0x1f7f41122eaeff3d, 0xb7dd3b84a9fdea10, 0xe0bc3b16a557bed6,
0x6885b15ef2ecb0a7, 0x47c3c8283bcb361c, 0xd490da14f3cefdc2, 0x0b9f219ee1f2479c,
0xff29426234aeb178, 0xcf397e585ac1f35f, 0x0022192c5d6e802e, 0x2930c2c41e433852,
0xdfb6b15b2891011a, 0x607848ee9f009643, 0x69b3a438994a9f4c, 0xa6199243c826acf8,
0xa4b60e9f88d5090b, 0x71cf385eee46a0ca, 0x2507240546a85abe, 0x4cb4b627f6de77f2,
0x4922262d13a9821c, 0x7a6984a32f85525e, 0xaf18252f1b75dab6, 0xe6a673aa7eef2180,
0x7806edd756a2852e, 0x74dec606e9c06cb8, 0x972926ff1122abbd, 0x7b2491f56bc8b2c9,
0xfeddc9ad10304871, 0x623da743b20aa41a, 0xe08e311086fab7df, 0xb8b2ed1c6a474a36,
0x6842096ac2b31a74, 0xcb13d8e8e42dee17, 0x361770960a4dd20e, 0xd9b4fd6d5e564efd,
0x2abfc723620697c3, 0xbf0eedfd2929a5da, 0x4ef2fb426b8a4a05, 0x35a2f2aca2672d51,
0xcac536f65747f730, 0x7f7365571d4c5a5a, 0xaacec4c22044e4ce, 0x9682b3cf40290405,
0x0c49f6555ac57a70, 0xde00b0c17f90c740, 0x84ecde35c6627a91, 0xd116e096c81a1217,
0xd2cbdec7f45eef5f, 0x0088d8652b1f612f, 0xdae2318aafaf634d, 0x9327b132136fec65,
0xfe1264e759b15b5f, 0xc90c6d42f891d08f, 0x50d5c463773c15ff, 0x18fa2a8638055787,
0x3aa1148f3ae55d80, 0x5345f5058b5b3017, 0x36a05171c9be1eb7, 0x28f8a6383658c5c4,
0x11bcd6a27b089b3f, 0x97229d7f2042db2c, 0x286a34e0c511a4a2, 0x56f9b355ef304101,
0x3016625356128194, 0x525e1e9b15bbe6bc, 0xa88492e1ed993063, 0xdc7e0427045bb569,
0xff92e547c0b776bc, 0x42707325cb24de9a, 0xcde793e6692e32a7, 0x01082a5baf3b265d,
0x5627ce679c7eecd7, 0xb53af94762d9451e, 0x4ac90a2e46a22b54, 0x0636eb94088b5b2f,
0xaa978edc05e58c33, 0x4857468d8155351a, 0x30ad1dab04165d7d, 0x55e1ca5c8c5284c1,
0x7e9ba02bc3ceb39e, 0xf8384e0b448134b1, 0x0ab20284b59fd1ef, 0x4776aefb883f09cb,
0x65416199a6f94b6e, 0x18d6eafa67511359, 0x5f020b18d63815c8, 0xca1a1c12103458e4,
0xa62b1a0945f55f60, 0x68fdf99ba234bcd3, 0xddac11ada8cdd0c2, 0xd1a3a037f239de59,
0x55398c5dcee915c0, 0x9d9e88eba93435d9, 0x7150dd4926c6c641, 0x7adb157d082a2fbe,
0x7893957747ccd1f4, 0xff85909d1ad379e1, 0x164771f773f27c50, 0x74a7dcf2b5cbcb63,
0x7ddf755923b878de, 0xdbafef8476cab630, 0x84f62cd6e27eb046, 0x4126b031ed360e54,
0xb43ef63dea606aaa, 0xd7bedd3e0e1049d3, 0xd073705f4b396251, 0x2f930afd9cff2d29,
0xab7accde57244b1f, 0x786a149e20894642, 0x2d5da33a4d29f1c7, 0x7db3463918f02528,
0x35954cee1708079e, 0x1d327e6afd118663, 0xc4a6f3bf68487903, 0x5c96d8e500cfa623,
0x423b8e0b9bb47fef, 0x202a3278d522c149, 0x286ba25e3af87e2e, 0x604dc3f56947be29,
0x98b284acacbf5f5e, 0xc3eeddd591232f46, 0x0dc95fe8e31d6cc3, 0x58a478931641abd2,
0x9f062abef9b339b3, 0x132e29390a003c62, 0xf4d69c29138a3a16, 0x4d64ccdc28febb6e,
0x727ee4557b15798b, 0x47cb29c8fc1f166a, 0x05bef6ae762e9843, 0x5782085ec487599a,
0x3ded0df93d96362b, 0xfd897a36895ca7ac, 0xdb7d2909aa7d97f1, 0x49a44a61f94a7546,
0xb40b1c4bb90de48f, 0x90681a39c7fad17e, 0x441694c44b4d59df, 0xc38a234090b8d470,
0xa379b9d3c65e7da6, 0x93b08a8b49504714, 0x920002e636d314dc, 0x382d5bbbfefc1d58,
0xe71517d01d13920e, 0xdc0d7b1f76c2f9ad, 0xd5fb7ef326e107c2, 0xa897c68991634567,
0x09e96eed6883bb00, 0xf8db4aacaad9fed7, 0x96ad16e864a5798f, 0x56b55259f64a1e1c,
0xd852d6dce3cabad7, 0x58139456004a3fc5, 0x2cc513c4870cf150, 0x710149c0d3f8d7f8,
0xf5acb979e22b5067, 0x485233ec0d78802f, 0xa67ffd82be61c5ec, 0x07d2513fe2230711,
0x93a57e3ee20e5c3d, 0xa7622cca0bd4432a, 0xa9e148d538338925, 0xd15a513060fd750f,
0xd3194239a1d0e137, 0xebbcae0b6759e946, 0x1fa3e1fe3cf41f7c, 0xeae630c9deb0e975,
0x2b62de7119fb8de0, 0x817a6537bbfe9ab4, 0x287149ea2036b9ac, 0xfccd33dc0a22d5be,
0x3e2a52ca23d60c87, 0xec7ecf387f125504, 0xa1419faeb7d2e02e, 0x44db7c65160663db,
0x57c079ecaa6c357e, 0x4ccebed1238dafb2, 0xd5df0f5abe753cf1, 0x850a51369e5d9b37,
0x04432b31776fb69a, 0xf06f937911a0c85a, 0xa9b1a7ff5d2427aa, 0xc2857bb49ea2b24b,
0x370e72e71b0b2ddd, 0xdb2e0e456c00285a, 0x16b20f48bf1f1b7f, 0x6ac9f5e466d30b06,
0x559930c88603bfd5, 0x14926a510f635e09, 0x38cd43e02646f01d, 0x83e17142d7621622,
0xf8ff2022c9c1d9ad, 0x16534b9f3eec6fe6, 0xe0e086c796c847a2, 0xb9276bed868e378b,
0x82c8fafd0f198373, 0xb5da23ae85c3285d, 0xcaff4821c276c17e, 0x535c75d372a282fd,
0x6a32cbb4f78a360c, 0xe65b410e7821f0e6, 0x9198f50e39456b56, 0x9a789ba684ce9559,
0xc967df274e5066d8, 0x746cae24a0e1ae07, 0xe6e991a9b0636786, 0x97d116f1a6670ffd,
0xa3a127a26eb5b4ae, 0x3b5caf42b7e5420b, 0x689c017afae63272, 0xa04e48e8d220fbe3,
0x60c45400321f042d, 0x945fae85fc70a6a7, 0x20e9615815d23dfd, 0xc08196421f43fa7a,
0x3dad048a6c684a12, 0xd9dbbdd2f29abae6, 0xc59246bd6811629b, 0x7f7c561749d690bd,
0x08928468e07155a9, 0x2e1c4537dbb6b874, 0x75897ab6bfca4d1a, 0xdfcee05834957c03,
0x81ecc8672f2e4278, 0xcd0fead39881f35b, 0xa8320620f96315ec, 0xfe73bc013c2eb892,
0x9ac8f391f05a117f, 0xa447613413670fe7, 0x531e6e6edad44821, 0xea504168dabb56fc,
0x6a69fb32be89e497, 0xd929ee788cc241f2, 0xab2fd4162f430fc0, 0x6947bb7dfd9f5f17,
0x8cfffb87f8dd6367, 0x6b777be20118bc95, 0x9abf37d1c8385483, 0x649671a7d2962159,
0xdde8243bbf3fbbbf, 0xd58659b8a6a43fe0, 0x59bb58338eff9a74, 0xcc70c2517e3acad3,
0x5788cf013de85217, 0x726ee59b3a7c2bd3, 0xa7b3f5e24715c959, 0xc8748945bcec97cd,
0xd65881223fee88f0, 0xa775fc34d29d243f, 0xc2222c04196a6bad, 0xc3b1411a427e140a,
0x3983758ed8d8c35a, 0xa090791d7ba0faf5, 0x8b2d1f2436617576, 0x52dbd9e0e37e48cf,
0xce65d7a421b6500c, 0x193f1253747ed001, 0x8d4ec1fcc89fd4e4, 0x20e974073e00bb75,
0x73edde237f81d22f, 0x2484d1999381472c, 0xe4e406643775db15, 0x856fba731aaf09a1,
0x9913c932e613b0ce, 0x2640355d2e477c24, 0xd7e3d273749a9bd9, 0x4cc35e3cb495fe0c,
0x63899ba256026ac0, 0xead5e93a07cecb0e, 0x7c620b2bca7a151b, 0xe1eba6e65f69ce8a,
0x41ae135d1c88314f, 0xa4fc3ea44c1f2b96, 0x1fb948786c605141, 0x81d0655ab3f7bafb,
0xdad4848bc8c0baea, 0x7e28fdeaab9a28db, 0x6468dded75dbf8f9, 0x2ef2165301f13228,
0xeba46cf4a77e67c3, 0x34d613b52a79dce8, 0xec5c2a061b18efc1, 0x4c284c8da29af2be,
0xe1fa5cc4b5a007f1, 0x08eb9356c35bbfba, 0x6fd8aa3ffa19e22a, 0x4a21328128b2ddcd,
0xb4fa943ad9e8aede, 0xa789c852122cb2cf, 0xf12d42439c2791b7, 0xb04d0d03d3792385,
0x65d57acc0ff444a7, 0xc033366873d5c00b, 0xd294b23e78c8602b, 0x59807a80172eed79,
0xa5020f687ce2a759, 0x87a6f7d0826e755e, 0x61e6285db706bfbf, 0x018c5dee15f328d5,
0xf7c4eaf042d9c573, 0x11957412ec339d79, 0x52932341cee6c7e2, 0x0403f37e50c6274f,
0x2f4d893dc949344e, 0xfe2eda82948a93db, 0x41234e80aad710b5, 0xe751ffef185137a7,
0x9f1024297803752a, 0x56d6c5b90e737b77, 0xfc9c5d74ac9e4cd0, 0x1be479f113df8ed0,
0xc085038cb762c45a, 0xac5c34eeff1c97b6, 0xccd051a558afa7d5, 0x456a3d85f945b88c,
0xafc366c43fc7b271, 0xee442112df2648a6, 0x7fd202aa89f7a102, 0x29dde3a2863ed340,
0x63d764e2743b561c, 0xa6e1d40bef68b20a, 0x9617fa08e6bbc892, 0x987113a5151fa4d3,
0x284af24ee0967178, 0x6d02a35dc8996421, 0x4beadfd485ffc06c, 0x4eb18c652bef47ab,
0x82b3ddf40e4dcf81, 0x0cbcaad37611cd7a, 0x465108cfdc386a62, 0x6a9b016cfe84e197,
0x7e0005b6cbb7995e, 0xcc698421aa37d75a, 0xa79fa31e47591250, 0x6150afdb8404ef70,
0xd6060c1f885337d5, 0x3257da149e09292a, 0xbfa139d2e1524ff9, 0xa98f4e6f5b1e115b,
0x3e1730621958afde, 0x0873224814ac4379, 0x3419091555e0d493, 0xab4ebdeae9c8a7d4,
0xe86f4d35bfb1fc27, 0x44e3c686773a38d0, 0xa2b6367ff6bf5b30, 0x4f3d0cf2c552a529,
0x4d14357098e94c2e, 0x416f11ccf7f2eb57, 0x9692a1a532ae6bb0, 0xc3250774c95d9480,
0xda7b21617678c39c, 0x16ff125cbd2b1654, 0x4e227d2371754faa, 0x90fcde2ced84ef10,
0xa4e305c839503f84, 0xf5239010ae84c37a, 0x668868c0772b9838, 0xe232ba6a67fc12d2,
0x3555e3866690e574, 0xd7b7d75a3c8340a5, 0xcd92f2c093f274e2, 0xac6682eac53a6b0e,
0x333a3f31e3d066bf, 0xfea9a401f74c110c, 0x626e1fd4b72687b9, 0x9f5d05bcc859b662,
0x027a2cd31b9d6e9a, 0x6dfd9e90c1e5eaf3, 0x1b44cd8dd5580a20, 0x76a9a9d66000c35c,
0xcb9aabe58bde2ef1, 0x4006d33c1942184a, 0xa5dc60b5d1f0bca2, 0x6916fa84ae5ffa7d,
0xbfb074f9ae3b72cd, 0x8d056bfe84ebc669, 0x064d8640ca0c3517, 0x3dc9cf6b51665764,
0x1c9513a9badbc9c9, 0x33db88d2dbc8ca00, 0xc43db9d873a0b09e, 0x99750c4e3d8b357e,
0x5b61235d5f813840, 0x8b8bfea400b86a9f, 0x645fc6002bbf066f, 0x3c14dd5aaab9e933,
0x11e625a05dcb4f42, 0x40413acca73ff872, 0xcc649da0cb6588f4, 0xe4a1be8969502a32,
0x82684e864fea4804, 0x985457adef73f41f, 0x7ac9fd484a65e6d6, 0x613e43717fcd9461,
0x7785044a7ee7622b, 0xe0da6db5d19483d0, 0xe0870995d476d95b, 0x6f602ebcde5a6619,
0x62494bef713407da, 0x9fc3015d7a120ef0, 0x1f680d8d7e84c29e, 0x2e2d0d2f38548ddf,
0x2ebddb4b32eeffe4, 0xe5c10c326ada7f58, 0xa03077e57a479144, 0xa16774283cefc675,
0xf48d75a2df25befd, 0x7700d6fe0e3dc28f, 0xeb8c32dd6db708e7, 0x1b92d562ae031022,
0xaffd80097081a71e, 0x08b192b0654c08c0, 0x80af12e090c2a085, 0x6e15f183065f4ba3,
0x15b9fdef5abd3e38, 0x970e865b2ab86e5c, 0x488d35a9b4f4f7ce, 0x0a2ef6a631e71e72,
0xe93158b8c7ff856e, 0xbfa9021a992f1777, 0x84b13d3b9e4807b7, 0x8f5d6e9faa3cb0ab,
0x6f3208ef5e009ba5, 0xffc109c0bdef5f8e, 0xb649ab5201216c26, 0x72b176118e94382f,
0xaf0cbde4d4746d6b, 0x104888f5f0354c16, 0x51544859073fef15, 0x090740f99f3ed7c1,
0x0663517091cb317b, 0x6485fc30210b0700, 0x8011dfafe1f1e18c, 0x91d95f012c4b662f,
0x1b483a68320b3b73, 0x5523544c2283006c, 0x37707cd1d1f8220f, 0x2e79faec83d19b25,
0x48bdc14a2e52f984, 0x92f8de0c70cd069b, 0x5efcdc28edd6a4dc, 0x43d3190e41362848,
0x02bee6b384a82972, 0x8f321209f897e44a, 0x293875c2b93e01ba, 0xc72525236046ff50,
0x0872ae9f3e528dce, 0xd2175888b7e174fd, 0x82dbb198782f9669, 0x0831edc494c5b0dd,
0x2ead0626ce4c116a, 0x7a184a4356e37479, 0xce0f0ba1724b4e24, 0x106c07da4facf8cb,
0x0c874b32816cf0b7, 0x6793a87df29f9e87, 0x676d1f8f6b2ff7f4, 0x2fc0514c6fc036b0,
0xf76d7fd1dd6a7d0c, 0x811aaf3755124345, 0x50a77086a2ead4fd, 0xde90b81b71d8b412,
0x2f134daf44e59f0f, 0x01092545bad475a2, 0x5868e8b26586495c, 0x5091d483dd849151,
0x2ab3413feece9b22, 0xdedba3fdd59d4c96, 0xeeca1bd4a4c50970, 0x3e313d5ea3e73147,
0xc218a69c78848011, 0x7c87bb26d8b77446, 0x180d65a9f22d57f7, 0x7f8b7f44bd286ec3,
0x3e9d5c27cff38454, 0x8b7162045b986129, 0x31eedd8bcf746fce, 0x38e97e8921cc3a6a,
0x55bc6968a565f7da, 0xf661e9351c4f789f, 0x339c6e48890bd0f8, 0x308afb6f9913b380,
0xab9d4217e388d4ea, 0x26d737f5aff41841, 0xc0eb3015371604bd, 0xdfc7fa471860ff93,
0xa5477056042ea7b0, 0xafde29f6ca94c465, 0x4b2ce9a6b22ae061, 0x7345a17f576ed214,
0xed772a6d23a3587f, 0x380ec2389ec715ba, 0x067d8735ba51d8f1, 0x6ffd1fdb1d391b8a,
0x796e518b42503b6c, 0x6ed597130f567327, 0x73d5949fe348755d, 0xab24e8c4aadbeaba,
0xa292c13a36061421, 0x057ebc08577913c5, 0x0c8471df91468267, 0x6b38a78d6861a13b,
0xce75cd1e0cf35ee0, 0x344b8615f7ea78d4, 0x6a18bbddf52baabb, 0x7ac85e6e9e88d446,
0x01b45e7f78905045, 0xac3b5ceca7469489, 0xf33ae43bc090ef90, 0x1749bd3d527ec2c7,
0xa8a792948698d22d, 0xe5a8f633159aa8f1, 0x20b7b6afb81435d3, 0x7f8d8b23236278c7,
0x858b3801da91a76d, 0x7daf88dc407cebe5, 0xa1561aa8427ee064, 0x21344e335fe454ed,
0x968439626560a8d8, 0x049f03a5b9b8f5bc, 0x6f71a001487119dd, 0xc0662f8bfae92c62,
0x02f8f41f021396d7, 0x623a7322f1593bda, 0x8015de4b1811cea7, 0x6617ae9b95508a7b,
0x42a3df0dcaf35414, 0x24912b7d3d231ea5, 0x22c2ce3755d88cb6, 0xc1e17851d9e42ab1,
0xa4ab5e0b2a35430c, 0xbdec579c5e68d45f, 0x5ac4bcfddaf74d4e, 0x60a9a380525dd890,
0xb6cc29b6591628e4, 0x55d2e0a1ac916355, 0x16665a96b6b5974d, 0xd66000fac9ced98e,
0xb6d6365954b149b7, 0xd9d9671f5b740055, 0xa024242467d2bc8d, 0x9ada14ce72667eaf,
0x6ec9333668e771ca, 0x10ad27cd8f6e66ac, 0x0a7bccfba5dc4956, 0x0369d0625644c922,
0x3588cb71586578ca, 0x6289b1cbfd434c6e, 0x7216f0b22c378d27, 0xf6f77a7e0ce470d0,
0xcec1605249c1cefe, 0x8126962615ab8885, 0xde2595bb920c61a0, 0x806608e592892efc,
0x3a046ccd796a225d, 0xcae7b48f7a75865e, 0xe30fd98a3a5747d5, 0x134d0b17e5b14307,
0x2ae5066337335ab3, 0x6dd09ba9dd08399c, 0xc773e49ae400f47a, 0x05a4a6492de5beba,
0x4b0613c897a4caa1, 0xc60090c47c5b2b8b, 0x8c4ae717922add15, 0xbb7abf4308325930,
0xf1103730e0217557, 0x0af9477ed669fea5, 0xbdd95510d3e36d1e, 0x72f2405f27e8add0,
0x6b88b7ba6f338839, 0x62294c34e0fb568e, 0x4863f78bc28ac8de, 0xb8b06f74cbc60218,
0xb657b6df12121b68, 0x50bff128deffb87a, 0xa184ded9e0cbd3d9, 0x45c9136d623fe4da,
0x784140ba00e3130c, 0x5d30ba34d8f5636b, 0x2f4da588bd4fab71, 0xff003c8617e5e6a2,
0xf0ae3587fa914e03, 0x2bd066ea89e927bb, 0x2899fe299a990128, 0x98072110bad8d28b,
0x8758eba8b3dedfa4, 0x27ae832469fc1304, 0x1d8b9df17a66370d, 0xdcd56424dea40687,
0xc26dc42e1588e98d, 0xc78e5761337ec2a8, 0x49116d6e54ad59b5, 0x9602db1e3010b517,
0x6686b3acfd4bc339, 0x8d55136c5d375832, 0xdaf5208d6c4b805f, 0xb754c37adf25a422,
0x41ce33198e749299, 0x31793d3ec0445729, 0x03eef8e00df89311, 0x7cb6481a8ccaa4d1,
0x8c5a4aff05730e1c, 0x2b44bf01ed5393d4, 0xdfeb429210077af0, 0x4ad3aa4970bb8478,
0xda01b1b576b8dea3, 0x342a3ad1ab13fe37, 0xc3921c78a353899d, 0xf618e8ff78ab72b0,
0xe26064a09865301e, 0xf0fec72de8ea4ab5, 0x538408e5a1a338e0, 0x43a36c104835d967,
0xefe3d3c3422b362e, 0x54ae5cae7d9ef0f9, 0x87bc19cfecdd5b3e, 0x6676d8d951ab8e97,
0x2de8f0b36955d437, 0x3574f2a188a3d6c2, 0x0862af497eee8061, 0x5f31bdb4441a7cbc,
0x7cce8cc27cf8b6de, 0x84fa5081d60a10cb, 0x739c89f9d5b939fa, 0x3351be61be26e7c9,
0x4c1fefb0cfd35f0c, 0x81ec347ada49b412, 0x64f4745dab3e7da7, 0x1f96aa4f31f50472,
0x5a2f38b99adfbfb6, 0xf5923ca97bdf41d0, 0x838fb2f2d0b6e43d, 0x40296a14276e444e,
0x6b01ce971050a62a, 0xd06b41b719ac1f03, 0x4cee947899b0bdb6, 0x965b0e8be5a5fd19,
0x59fbeb1727c1ed00, 0xf238be92dc76f4db, 0xcab30744c4309ea0, 0xaf3ff93c92e99b3b,
0xe9c2b719e70ff5f2, 0xf4fc768b4e4aedc5, 0xd4bdff465b183204, 0x32f0e024e904a85a,
0x61f11634874c3731, 0x9f67d1f1ac4a373b, 0xbc63dcc5bc4974d0, 0xf3a188f98fb9d6a1,
0xc37a586d80957516, 0x4af287b01af49edb, 0xca8ed96fd8baca28, 0xb0f4693e439d1b8c,
0xb51fc007d4a45a8e, 0x9b2e8975f5e9f99a, 0xf3adbec92122befc, 0x260fc818cb066d66,
0x33ec0bbc45b52bbf, 0x0b1fbcf571f84d60, 0x2c9a2ad826f19e91, 0x3b7cba9c4ffa9d3b,
0xc069b968b5e7cdb2, 0xdc22b78bfc0ade6b, 0xa88edef07f8b18ff, 0xdb20bf85ef5af6dc,
0x0e5ffa0430481f9a, 0x83b142bf68851cfc, 0x37a908d5aae14d6a, 0xbce64e08c6758a3a,
0x55f66acf41cfab4e, 0x934fea271b6318b6, 0xb23dcb5220559c2c, 0xc31e5fadef26d1f3,
0x3c627f4f27941e45, 0xed7a79376878aa56, 0x8f30d91a179c8d27, 0x9cb962cb41226742,
0x7de88ab9d0af50db, 0xe467a9f8194beff1, 0x99ab87d9d5d90192, 0xf619a6c6fd8509d8,
0xb9a824dda1dfde21, 0xc49d1a0412ba1bc4, 0xd203d148c34aa6e3, 0xff9d182579b13f32,
0x5ed100d5391e7d4d, 0xb9c212f8e10fa391, 0xde97d1911a2797c8, 0xb1a878569925b652,
0x8941e5b050857780, 0x940337c0d178a932, 0xd108df1c1b672142, 0xdb7a25ded63b9be8,
0xdd3043fb3653ab3f, 0x2cae48504121a428, 0x13ad2085c93f7653, 0xbc53e55f4df9e097,
0x64d2b22c9ad47305, 0xb0a1a41e3b69e03a, 0x19b32ee3435666c4, 0x3ab07ed5ef6df9ba,
0x13071cc89c19ef25, 0xbb5cd8ebb929e7f6, 0x28fc1e99fe1c8e3d, 0x78e54ffe69d2e4c3,
0x2f80728f2e79ea4c, 0x5ab72c0a0790cf26, 0x378cc8d4639310a5, 0x7c379d55fa0eccfd,
0x68905d438e24f6e9, 0x66eb0750218afca1, 0x312b2c940bdc3e0c, 0x92b7f184fe4d72ca,
0xa33d497406d3a24b, 0x2dd49616dbb9db9d, 0xe053e70838a7e1ee, 0xe5392c47905cf46d,
0xee166b9887564c3e, 0x466f388c7d8312ae, 0x82d5377a630f752b, 0xb70b515c0fcb1539,
0x980583cad70240e6, 0x7a64b37e4457058e, 0x7663eba3961139d3, 0xfd2870e8b9ed3ce0,
0x4fa4ec6edd9fd91f, 0xd045d710002a8a7f, 0xfa98f3323bd5961b, 0x3bbfb08d87a0e913,
0x8bbe6ae967c4c642, 0x59a6fa8957947732, 0x978e06d0c6dd8016, 0xe9d31815b99b415d,
0x9bac1528abcc29f4, 0x0c4d60fe3f19249b, 0x9047cd8a3e9a2d55, 0x3f727ff464c48848,
0xf8c49b4f602f6d57, 0xf0e15e69dcb2129e, 0xc6d9e531555f5efe, 0x0e153b72d0b17d0f,
0x8c8200491e0f7dc6, 0x0295a1f4ffbee5e6, 0x4c4c8a208a92dac9, 0x3d29a356f64f411c,
0xbd5200c4329b68e3, 0xc385103c6ee1bb4e, 0xc90cdb0e9722d2ab, 0x37f96bd3ff544360,
0xa2b7f87f66420330, 0x282c650f7412776b, 0xd6be6343553f5d07, 0xfbfa37ecab3ba920,
0x9093c38e022e421a, 0xd00daba995ba9af3, 0x786184e46395932c, 0x8b1a3f0d096a55c4,
0xe08097ba3f0d8347, 0xa91708d75d825097, 0x33b9922f3a9e3324, 0x7a1a3f0f5c1bfb57,
0x2de4f194498f249f, 0x0aa491bf06febdda, 0x344765cba30629cb, 0x122b8c12911841f1,
0x2e2bc1f1458487b4, 0x3160bee6f0ff42f3, 0xece0a30498e1227e, 0xddc05d6dcaa8e697,
0x34021b369ab3137c, 0xf0ddfc469217ba08, 0x95c458c7b6edb68a, 0x17d03378dc847aa0,
0x6acb679a11730612, 0xcb93255fd17b3e92, 0x18ad048630c8cdb1, 0x9109b30294d63edc,
0x3ea11ddf29dd321a, 0xb4686da7ff1ff3bd, 0xbbffc672373ab8b6, 0x2999678aabbc815f,
0x4d55d6261ee4b32d, 0xffd5fe3b3964bedf, 0x187127a056f937a7, 0x7449351c646463ca,
0x79e8f46d3a8c691e, 0x6d01e77310af77bc, 0xfd1b310004bcc2e1, 0xb959adcad4ad4a01,
0xaa172b8db4b99cc2, 0xe8571877e9eaafd0, 0x8bd9e92cc2a0db60, 0x1ae02ea738a7c189,
0xd13b3cdb32fbea18, 0x31a3795d1b2c5f56, 0x07fcf623e164b459, 0xe5739ffba1887878,
0x874e2d02a88dd9a7, 0x70e7ffb137b23051, 0x5dd6afeedc75ac46, 0x6d00cbd68f2eb6fe,
0x6fa0eba48d3df55f, 0x3f796f994c555322, 0xe09f5dd186f1b7d2, 0x669e7e57276ac37b,
0x0e48ece4da9a5b6b, 0xe560f7d6c8e97e82, 0x9d1893c6331697ed, 0x662775fb14e113d7,
0xece68a44f6fefab9, 0xf4886037b16ee522, 0x6188769dfbd7dda3, 0xc6c046a54f8a8da0,
0x5f70a8d4aa1e7ccd, 0xe28aecc280084258, 0xbc8a090cffe8f3ad, 0x3b1ee1bc42c0b788,
0x0638bddfe099c2b5, 0x7ae78bd275e17ae7, 0xdd9210fce6b2f693, 0xca683d0d4e4ad7e2,
0x455436b77b6706d7, 0xc0ef0bc07a643a0a, 0xeda596b5e5ae00d6, 0xf5598394e8844916,
0xd9892fecd00afdc6, 0x2079aadacab2eafb, 0x9811ed2bba446388, 0x4e7af7ffaa0c051d,
0x995053ec23883ad3, 0x349d014674a49f59, 0x3a0d11f9bcc2381f, 0xce50a144106a31f8,
0xbf5297e11f98e7ae, 0x8cf32c1f952d0188, 0x845de3bd9d249084, 0xb70a5be01bd770ad,
0xdef0a6e37f1e961f, 0x796b2dacf8cab916, 0x20bd7f9b4b2675d8, 0xd679f4f80bcce924,
0xb68d90fb6f77a420, 0xdd2eba4c15cd4e8e, 0x68397d36b33b6d37, 0x9d7760f1261b3b74,
0x117326c6efc03171, 0x7e4976f063ad90ed, 0x77233ca22983fffc, 0xf7fa08ad152dd606,
0x903921564f4bc56c, 0x8e1f78ba3d557725, 0x6dbe605a2e751171, 0x8da329f666233c1c,
0x3751a6b65d1021ab, 0x451a21fd52b66e07, 0x84a6cc4d7f35cfaa, 0xaf824cb94484b447,
0x8b3cabd3601b93be, 0xdc769724be087150, 0xbf56e590ac606aff, 0x8eb0d5630b034d03,
0x789d435fdc82ee3d, 0x4758325cac904073, 0xaaa669ad894db943, 0x2f3f918688079296,
0x3deedb53eea04128, 0xf83034c163b06ecb, 0x38ad6e241bf5f53a, 0x2013b91d9835953d,
0xfcbbd5befbe29a46, 0x305bc4a171141fda, 0xda70fa95095a4904, 0xe1ac43a2ac6a7df8,
0x51a515201b6e5b88, 0x9a33d82ee03cd5a2, 0x96706534a6930672, 0x11cc14d0e99866d3,
0xa1a4240dc2cd9cef, 0xf18d96b1e5aaaddc, 0xeacb9e625cdf22a1, 0xaf7d3de65394493a,
0x1fcf6e0eb5ddba2d, 0x267689828d28e0b3, 0x9572fb35fe171b19, 0x9b253289d31f6387,
0x6da6cece06df3934, 0xa581b5f8e75ac10b, 0xe90280eadeb3dc98, 0xa45b2bac115ccb72,
0x9f15e2acb5aa1cf9, 0xfac1b688ac7c60eb, 0xea86b3ef6c59fe13, 0x4fc9804024bd4e59,
0x1e5c887ac60a5f9a, 0x928b47141320d79e, 0x653b583525ecb311, 0x8f9fce910a219c0e,
0x4b244987b1c2a8e6, 0xb242c1cf862ab8ea, 0x62e50f4d928de98d, 0x56f08b01ccfbcdc7,
0x4df8251ad896053a, 0x18627f5b9a4ddd9a, 0x98658586c866ff8e, 0xdf0634ff5e617695,
0xe75310b02045a095, 0x5cd458e9b9289fe8, 0x5eb35601eb21d130, 0x0986235b2d2d615c,
0x1c0eb3e6e7fa4dd2, 0xb5676d2ac98ce775, 0x828713c48fdb7a9a, 0x1e6ba5ea46d8b827,
0x55f45fb565475bf6, 0x1deff33cd0263fb5, 0x6dc23c61ccd9e86d, 0xcba38e84cdffcc40,
0x1c5c660b914577a6, 0xc28b29d4c8bb48d9, 0x2e017840ee7a1e06, 0x3cba444b69d454a1,
0xbbd1962356935010, 0x7d39e14f157354fa, 0x4e80e72a07c2b225, 0x044b668a4b369079,
0x39028d5270ae290c, 0x6e23c4d118fda9d4, 0x7c0dab87cb651b2e, 0xa3e648fc26c64056,
0xf17351d4d8f7c465, 0xf14cad35f41263ab, 0x2fc7c4d2bca7dc72, 0x2b45432bd7fe7508,
0xfa7191ed19e004a3, 0x6b786edcc5f6cc55, 0xdbf8236727dee198, 0x3c003e29b549421b,
0x5876590c0288fabc, 0x166c62ebff9cf93b, 0xd89c54c1c45546a6, 0x1b54ea4e9b13cdd5,
0x7fa5fed0b2c5315f, 0x6e45b9c3cee19f81, 0x871646f892eba17d, 0xcea5dcf84572730d,
0xe7bb4eb75d62b166, 0x1ce7e0d6bc7b6f53, 0xa51c772393f4b21b, 0x590fc72de380397b,
0x78425d4df0b678a0, 0x091b4cb7a7f25869, 0x022b2f2b6b6a04b3, 0x5f1d985860a5cd44,
0xc2c3be8e9d18d5d8, 0x0336a189de3984c5, 0x0a8b8d6ae2d5f123, 0x616695f353b97305,
0x0aa4b1ccc099dad2, 0x4dea8d3f2072fbc9, 0x94fedf3f135469be, 0x25a36f9d0a5c2eda,
0x884ca2d2a2a50392, 0x74d666f96f176f5d, 0x7067b3b8d1467bc8, 0x57f98089136eeb2e,
0x0c6854b005740632, 0x0e1730262ebba61b, 0xa21875113dbb8880, 0x951f878921f2699c,
0xc8e592d8c3bc5762, 0xba04bd4429480419, 0xcfba328c26697ed3, 0xaabf3e38640a4c08,
0x001593cad60fc6df, 0xbe30bdb572a8813f, 0xbce03eaf1e0c9a81, 0x3f7e61956a620bcc,
0xd0e6c5a7dad27b50, 0x4bb9568a0529457b, 0xc2fe357ef1e9b3d6, 0x31201f101965aa07,
0x283604999b54350c, 0xec96fe04ea1f853b, 0x8f1f46a165be71ea, 0x7046c9f9ca7ea047,
0xa6281e87e93e4cc9, 0x52822bed8f3073de, 0x36c38b3806af71de, 0xa5caba5e4b86e58d,
0x3c33e98f05ca8aef, 0x95608764928c8d9f, 0x3c48bed4c26f2e47, 0x04c4fe49574bfa1b,
0xc32faf41087ae788, 0x19c1edf3039ebc39, 0x70d72a99938996f8, 0xe445153545a3b83b,
0xc752513d9e43eecb, 0xd9c20c0c3bcb8320, 0x9b4dcd562ec821e6, 0xbe57ab3d38708c52,
0x26bea35483ce18a7, 0x0112feccf72fc168, 0x181f79bbea32cdd3, 0x2bd0d7e80280e860,
0x7371381b7a503808, 0x1f3d064d0db916b2, 0xa8f6d5c3d861721c, 0x3d8f93423749742a,
0x716ba0fe4341dc13, 0xe90680d07c8ad686, 0x78bd50d600e1ce40, 0x10b7ce5ec57dc74a,
0x0dc4bd35a1c7fe3f, 0x54f3e5eeca67c171, 0x8671fdf51d402eaf, 0x3a1bcc17a64164ce,
0x7285f42935c3a7b4, 0x4be8224229e86812, 0xe8ef906c58386c86, 0xaff6758ad9bbdd4d,
0x61acaf7da7aa2534, 0x9e3f8f907ae528c9, 0xd8e962e31882a959, 0x3d14c68f0267fa2f,
0xb2b0cce7628bba28, 0x21466664136be05e, 0xf17466b6187ef3b9, 0x6335ce078b14e4bf,
0x300341488d42c504, 0xf726f17644755c18, 0x34fff8bb2f1dd7e3, 0xf70e518ca981bfe4,
0xe20a0243fc734350, 0x2b0289d8d43beacf, 0x66d8dd2b0dd995fd, 0x5df8f8e604d7c0f2,
0x65560ccccaec3fd9, 0xce8322b081aca0e0, 0xec803b146935ed00, 0x250ab8392aa2dde1,
0x19551b065b977891, 0xaa6beb91bdc6ea0e, 0x1589bb3fddc82063, 0x454c4796188a746a,
0x6a0f5b67cb792388, 0xd1eb558953359843, 0xd9f7e1764104646d, 0x1cf5feec652c89a0,
0xe13e08fcf2ebe0d8, 0x42b9a3cefb087af2, 0xa76674dbeaf4cde5, 0xea207abb1be206e4,
0xa39b429cb9275f9f, 0xf99bb8a915d7adb9, 0x93d1f942e5e37558, 0xe2ebf6e5f5dbc828,
0xe6eddb4fb64440c1, 0xa0025751c59a1a21, 0x28c3db6665789e98, 0x0b1c2f06496be89d,
0x3dab34bf51a01a86, 0x8a10df46dabae133, 0x05308a01daf3d037, 0x64135af9e1bb3061,
0x566f40f1d16c43e8, 0x88b46276a8b83583, 0x3d05a86da3147eaa, 0x15aa65ceffbc11fb,
0xaefbe23d3312fc7d, 0xeeb1722be82733fd, 0xbe8cddce70f62f8a, 0xbfa729bb3904ab52,
0x2d7ca46381ee9a0c, 0x300101afb2cfdf9f, 0x262cac81c986a170, 0xfd4ffc22f5e3933e,
0xb5b3afab9708e332, 0x0b483445de1a68e0, 0xf045e1b3f78406c2, 0x32a75ca09d0b0069,
0x034e963ca205f24c, 0x8bc305c6febec1a3, 0x9148545792f0d5cb, 0xfefa0c531dd5369e,
0xd84baf606b249988, 0x6c1c447febf61f87, 0xc7f69738c1aa99aa, 0x6054ba988df8f4c1,
0x9cf4a0d410341b9a, 0x94841063e9d663ca, 0xb016f475abd322e9, 0x6690ec37c43a9575,
0x06e489c152f8aaa9, 0x8c7ad22984bd9cc8, 0x3eae03a13784dc12, 0x49b49ae5d383c81d,
0x13e8d32675098c23, 0x8af75c309ee4ccea, 0x54df63b27ece43ec, 0x190879d4d18e5d2a,
0x20b77a8baed118b6, 0x6cd0cfabce914858, 0x1d1e32bd826aa8c3, 0x1d18ecdaa21050c0,
0x3ed09f3e6cdd97c9, 0x0ccd68fd4d2b1123, 0x23308ea911e8dd55, 0xf2532ff72988cf98,
0xe12598ee5990c53b, 0x0322b6f226c1d204, 0x857773c13bdb2989, 0x618f03e69b90eef6,
0xe9200ef9b3e73894, 0xc37391eb526a690a, 0xe473e9f1812150b5, 0x166f3fd63eebc15e,
0x657c0049d2c5828a, 0x8523010031224ad9, 0xd7d61cc41a7d1ee2, 0xb521743076a7a8c9,
0xcb091f4163220254, 0xca446fabe91f13ce, 0xda61af0926fd2880, 0x04ac4c0b8ace7426,
0xfe99be0bbeac5447, 0x5ad06e7d5913302a, 0x3bec8f975d0f38bb, 0xf2972a26bcb0b54c,
0xa108ba67a4fe5ebd, 0xce1c775b1473f30f, 0x5bc00377233babb2, 0xb0ffa56927c5f5b7,
0x04f6e46142943963, 0xe95aa93d94e19c6e, 0x9d7ff9c22aac07e0, 0x29ab2b161ec1d8a3,
0xc1a9cd9374cda333, 0x0cd55948d6584ee7, 0x4ec6af6e22bfe771, 0xa2baafdfb6905f81,
0xd23b82ea048fad3a, 0x1e430f240835b550, 0xdade0e927bfbb569, 0xe393d7ff83dcbf21,
0x210dfa4ef9602816, 0x805ecdd29f174819, 0x0fc4374088238f46, 0xdae177b99644414a,
0xb6fb95f2187e7d47, 0x90c02722bf69083e, 0x41b0708667b5cc93, 0xee3d23be16a045eb,
0xccac36957daefa83, 0x5a0f061df5c8f53c, 0x8b62c3ef372f0712, 0xa03818d30300ec7c,
0xff0ec8c1b22048cc, 0x251eb53fa70f47b0, 0x8c6f30f7d9dbca54, 0x866f8302b8aff07c,
0x4a5db4e64eae4c08, 0x9bdcfc376ef333f7, 0x1af745e1169693ed, 0x1b48739aa4ce4bd6,
0x5ccee7fc1cc71026, 0xfaceb988f576297f, 0xfcd26e301e063253, 0xef12ce21347bb7c0,
0x4f60907b1dfb36c9, 0x878768ad4d8163af, 0xf240b167f3e66574, 0x24f9a3abd7c7866f,
0x9ff0264564d52bc2, 0x270488044eefd3ba, 0xcf6a0ac81825d701, 0xaf1987d4b3df8ec4,
0x74a48be1f828f882, 0x21a178526b0994dd, 0x2c20153ff3f04cdd, 0x4dda3fbfda00bfd0,
0x09981aada46e2a2c, 0x11de4ee48ec7b656, 0x8d8c192482d18375, 0xb97dc7eda3ac7c59,
0x8cde6ba7ebff1608, 0x65f3213ea5897d1d, 0xa7a28f179428eab4, 0x7770d1677ba15e20,
0xd1f4711a6c3c9e2a, 0x0138c261f90794cb, 0x59c6d34042a7e8a1, 0x4cfbc206eceefb8e,
0xd75e76504459477f, 0x034c86bf5c4d504e, 0xfec8cbb3fb2500a3, 0xe844946434d03dee,
0x0297506176c6d1f3, 0x7dd14462ce609dec, 0xfc7394065e43d0ec, 0x7febf3ac4e23e42e,
0x453af607e5aae17f, 0xade34aa36a078ff6, 0x941acbba4f911c47, 0xc28889b78588451f,
0x9377e1db1bf91b16, 0xe2f3bb7f789cfdc8, 0xbf772980b8af27de, 0xb4a1d9051567dff1,
0xd55fdb0162d136fb, 0x1f98e82e8819f5e3, 0x70b319ed316a9bb4, 0x321cf31a4d2176cb,
0x6833732053f95986, 0x9a084c20f6b44de7, 0xfa3adddde3386ac9, 0x06de7616856fa41e,
0x2708d37f188c8596, 0xffb1643a48c1b65f, 0x5aad2e7b65939922, 0xb1a98ca7d2d85685,
0x6a73786354e89d70, 0x86044ab44ff7221e, 0x3b3098953db9829f, 0x7a8c3f24589c1b3e,
0xf70e6395e4a7f2a3, 0xda8316c9b072784a, 0xc24074f0b7b045f7, 0xf50af41f2e937a93,
0xc1be65ac7d72eb43, 0x186ec42d3b2b5722, 0xaaa10fb0ef2a699a, 0x9d14c0c74a7ae15a,
0xb1facecf4b1a792d, 0x529d1701894e61f7, 0xc19b35e560f47292, 0xe3be0cfcbde066c0,
0xe87aafdfd1e06ccf, 0xb4446148b1bae589, 0xe29b2c9884cf5631, 0x00d0eb074cb53da1,
0x6841df19ffcb6068, 0x22ce112106430bf3, 0xceadf1c25704f801, 0x32bd6478c4ce23e8,
0xfb43dabaa3d95bba, 0xd50b0f9b8a09c850, 0xb2a5ff6982c9b048, 0x3f2790135a4261d9,
0x4d9cc300084cf7c6, 0x1c390af95a4c7e1c, 0x20c8da89b7075665, 0x2af80c175a18b9a7,
0x67f23fa177e7e364, 0x69d274fd5e6e5882, 0x5f56657e8d053b3c, 0x5531eea234fb69d6,
0x88aee4d9068a4136, 0xb7a84698b4b38176, 0xe03d1fce530bf7d6, 0x9b45dc0850f2b71c,
0x01fe0cdc2646ee31, 0x26b0d87ffc788c97, 0x69758f37d534d20f, 0xe2abd9346930877a,
0xbdc667eae4856e2a, 0x826cb5eaf3ab98ca, 0xd5c2acf8e71c14e1, 0x2a4c5998097ebe05,
0xe59a97d1066c1753, 0xddd2d8cdafc8d9d0, 0xc71ea4858b8ca61b, 0x46e481c79a7a17ba,
0x233bdbf899c25a5e, 0xce0bb0e1da4c671e, 0x26709c98575020ce, 0xb0365ba5e17d4c4f,
0x0b5cc36635c83f5b, 0x2fa8fecb95417480, 0x5960626c6cf95e40, 0xdf62912e62294f80,
0xb8d360e2a7f09a10, 0x3a578b537d5a2d2a, 0xcc24ef33709c40b2, 0xd099e49ad3a4230e,
0x7a30564e0b46ef72, 0xb1e4e1466b8d3765, 0x12fa332644c62144, 0xbcb2ea48dade6474,
0xf00d03cc5536393e, 0x8079a6566115b8ef, 0xa80994168c4aff17, 0x6c430c589134622f,
0x4c7157cf8523dc53, 0xb44d6e671c0b902f, 0xe56b2caf6c161919, 0x2e3a569676dc1c35,
0xeb05d4aad1981845, 0x174842eda9f65dcf, 0xa64fe4de015be262, 0x491084a228f0ec07,
0x9ff9f0164b29d97f, 0xbad5728a7549398e, 0xaf54ac566fad451e, 0x043677a314670fec,
0xffa4ab0bdd4aa1f1, 0xc4d6a29d3a1fa0d6, 0x805e17a9218b3233, 0xfab659408574c7c1,
0x85659ae0b18ff3f5, 0xe34ba066a333e1af, 0x7c9a323091ead048, 0x6c753b6c7efd4df6,
0x9036b7becf58383c, 0x24c418c33be323ec, 0x59ab6fdd36de6204, 0xe3494ef60ce568f2,
0x518837b001bccaa0, 0x0ee65f83e25487a4, 0xd7f77b6aa00949ef, 0xb51b73b1eb5e833f,
0x750667f39a1e6fb7, 0xc21c9d7c088b42cc, 0xd62b58bbc641de29, 0xc3594f2c5d0cecc7,
0xb07d8e7e49b7efdd, 0xd0b6f84ffe48bf08, 0x3a3cff3e0e28f152, 0xb68815e527566783,
0xc1ba107095544fd4, 0x75d59e7db0202c27, 0x907af32626db452e, 0x91de8678714439b0,
0x0ce39c7dfc7d1278, 0x082715e9242543ca, 0x75ac6b872b754459, 0x761cdb6c21c2ba97,
0x3b33d435cccf0f06, 0xe375a89fb1eeadb1, 0xdb658e982ba46f98, 0x6c5ab34405fb6344,
0xfbea45a2a57d50fc, 0x0d9eeb4bf4a30331, 0xd89d0939e616743d, 0xf92ed97c1bf6a4d3,
0x83fc97deee2ee851, 0x91a312561b1e183e, 0xa80f05c9750d9912, 0xb942abef1e34ca47,
0xa6eb110e8d54c0cd, 0x8cef800ba5610d3d, 0xc0eaa3ed67f01c6f, 0x9c887f4aa6a3dcf2,
0x2f710f3576bbbeeb, 0xf759954a869f116a, 0xdfa63c1b4e1e3ccb, 0x3ce9bc3ceaf60219,
0x3361da3cd02c4703, 0x5c162bb1aefa0dde, 0x8cac1538fa977431, 0xdcc411b78ab69604,
0x6c1402989eccbde4, 0x375f3c04c3eb345b, 0x9b8dfdd18afd9d3b, 0xae3627b3d854a5b3,
0x835f74aaedda7694, 0xfa1bbc390557d04c, 0xc83336bb6d3c624c, 0x99591577cdb28e88,
0x73403eb5ed98b2fe, 0xaa677e810ca2bcef, 0x2f6c2070be1e29a9, 0x4e2dc1313a13bf9e,
0xaea50f3ae2812b26, 0xfd869c82ac686554, 0xc1facec414697082, 0x92becf92fed11d82,
0x01a2831aca6b09c6, 0xf49b0c23be77b2d5, 0x4041339a88c8309f, 0xcd8b4bbcd00b786b,
0x372f6704d3bd3113, 0x9d0b86b7860b0ca7, 0x0a8dd3a96584fef2, 0xef68e2b06f0e7b16,
0x81a148824c3c7d64, 0xfa37e89ecf88da10, 0x970f753620820d68, 0xf82efee32ae3b5cc,
0xcaf9534d43561ba3, 0xb9677e3c242d44d4, 0x1389f742075bf073, 0x3f54145149231244,
0xe3845de16d4f6674, 0xc313dad0ac90b250, 0xeec5772fc03ba5f2, 0x93885adf6a5eb894,
0xbf987f72b8075306, 0x558e54e09c99f222, 0x0ea9d020a89c9e80, 0x98c95714cb166a40,
0xae48c57fce993f80, 0x9c7ce2f1e41092ea, 0x49dd74dcaf1d1e84, 0x308f2951fab60b13,
0x08ddf58bcd3b7afe, 0x96f17b434a3aae15, 0xd248e6342b72ac90, 0x00375d359528e1ae,
0xa484189341648560, 0x4b38db273dfc473d, 0x07b62afb161372ba, 0x373167ecac67d5d6,
0x01d1b8c2761f97bf, 0xad95e2ce55888ecd, 0x2ddf6ac916ba2317, 0x6edd29b3a1305fd1,
0x42e8a6fadcc18446, 0x36795f64c0279b08, 0x16c4c1dc0eb6ca60, 0x3425956489ba1915,
0x771e3aa060ee5284, 0x3bb800832802f496, 0x117b2fc9525fcd61, 0x2db90016a39104f9,
0x0c882393d84ebc4c, 0xc859f1507e65b55a, 0xda0dae082af012a1, 0x81f6fa8452e539eb,
0x0d727468916ea4ba, 0x2acb757b28da6c75, 0xb2032ade6af010dc, 0xc3c1148299a78de8,
0x01e83d7da89a30f5, 0x294d1781b6148442, 0xd774c29530a6090b, 0xe7f147867eff82d2,
0x32f7bbd79f909d45, 0x4a1e8a34f6c1df4b, 0xf06fbb207934a0f6, 0x2c295f9d742a78ad,
0x429df3eec2a1c458, 0x270bc19383b97e1e, 0x7b8ec1a1c86ae6c3, 0x774ee107d5534fad,
0x530d73bee0be4374, 0xc00c963fca7de8bd, 0x9441adb5d69b490d, 0x704ec48321a008a0,
0xe524a8e26a6f7c70, 0x2dcae156d20f2b9e, 0x9c721e397d96eb55, 0x47aa2f04da2c2ddd,
0x204e1731fda296a1, 0xcb8b8011bf6a03c9, 0x218ed7bb391d33e2, 0xdd9af39b6d6914b6,
0x3c43f22fabf8a310, 0xef38ac110da24c60, 0x42d6c03c0e60890b, 0x210f84ed87b741e3,
0xe08701075822e0dd, 0x0360633341883d67, 0x5450c00ce7773e75, 0x64809a1fe7870d99,
0xf7e6f72d5b654392, 0x75960432031877b9, 0xf49af206643cd7e6, 0xe80b00709de42d66,
0x16d42b6b13160b52, 0x538b2c6b362eef8a, 0x8fe774d825f6d9f8, 0xfbbf3b881b576d3b,
0x5add2ba6b49b57bd, 0xdafea301209a66cb, 0x270d18fed17f869a, 0x871749140672a041,
0x53d087cf3bac84ab, 0x1151272d50e386e2, 0xcf092d2478b829a1, 0xc07caf08a97b4ea5,
0xab1ceb2a1502085c, 0x15aac6580207d92d, 0x47101df376cac03a, 0xedd4ab721e1b0e00,
0x17140fea8a510be8, 0x434b187b25907435, 0xca1d171078c27c2d, 0x0f1e2e9f0114d4ee,
0xad2cc7a64fbcd67c, 0x026e2181ad02ac77, 0x13fd7c5bb7b0f5d1, 0x99157656e6487547,
0x328fcb418479b204, 0x9205b0c6116a08ad, 0x7f8150625f72a321, 0xa66c201723a86dba,
0x3d73a06b8fb2ee3a, 0x72420179013c109d, 0x2ed221e562f7c5bb, 0x1b55c5ca650da670,
0x58846c4eed2ab062, 0x389358ae7baa1442, 0x25cd2e4f0756abea, 0x7f7168818c7ba33a,
0x8e7974a218acecf4, 0xcebbe834286cfc7e, 0xee2d53b0b95eced3, 0x918bb86bd0b3e798,
0x01afe454314b6595, 0x2149ac3ca01ba713, 0x743c601766822e84, 0x163333e6fcc41323,
0x17a7cd8bb733cbdd, 0xc170679b9f4803b7, 0x924a19f12c0d0abb, 0xc95bcea2ef79317c,
0x41db6301e69261bd, 0x27c5d21412832ef1, 0x7d18503979f82676, 0x866335ecf57780f5,
0x4111e5de057bc51c, 0xd3845fabe3c63ff8, 0x33fe9498c9134cbe, 0x4cda52b2225b16bf,
0xac62f35ca0c95a04, 0x5213bef690c0714f, 0x3ce2999b0fd69a3b, 0x29c54a1d54c92d6b,
0xc78a127f7304a30a, 0xec9dbc4bd6e4b2ee, 0x08b29fe98bf02b3c, 0x2a6141db6012b62a,
0xdb51746b5d9aa18e, 0xd7fef9b6ef4488e4, 0x785db050c8535121, 0x9ac9129cd2f90988,
0x4a848db771482a1f, 0x8985052c78340c09, 0x138f8b646d8b688c, 0xc2bfe55f2c927977,
0x9a2d7a2a8cce6322, 0x9211547f7674f354, 0x3d06e1dfa2ddf61f, 0x9d6424ec71eccdb2,
0xf0d9f74996ec5024, 0xbcd7005014d395c8, 0x76180646fb79649c, 0xc1d3e3cc67e26375,
0xcedc412a875df84b, 0x2b0ff3e22f82493a, 0x749067b4eaf521a4, 0x2ad9305ac7048c3e,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x312d5ca67482d023, 0xb3541bd290bed320, 0xb118be112c2b8c73, 0x39d99bbf92f69b5b,
0x2b875a20cc7cbe33, 0x7f37974671487294, 0x2994db86931d3726, 0xa9c3cd42271b243c,
0x2f23ee35933e4717, 0x4e296824a48770bf, 0x05572c01d47807c1, 0xcf0c46b0be471f20,
0xd2eb1f233d544184, 0x8148c9b90080041c, 0xc24c5dfd0952a7d6, 0x7b751753196de8eb,
0xfef330427abac550, 0x295c63f50b7b1e2c, 0xbc73dfca83df94e8, 0xb8beff9e52a601e3,
0x0e5bd64ed5fcb2bf, 0x30e8e4eb68530d2e, 0x52e062ef9f25f33f, 0xc60e0dc0bbec8cce,
0x3cd4e958b1dd35b9, 0x50f857b5a9bfa0a1, 0xa975946e2fee6d98, 0xb0be744f06251460,
0x1133241b67590148, 0x199e1fb9720c8330, 0xdec7d5392ead9007, 0x232f9df87b8df8c3,
0x48c0231165b49477, 0x9e6828214fb27fed, 0x7963d93ccb878817, 0x6b34f08826676cbf,
0xfe1e91b6b6ac2932, 0xf2a6289a1d7fa6b9, 0x6a4065324b89ebec, 0xab0406335c55a0c1,
0xf249740ced3ce7df, 0x720a88a072183363, 0x09797a286e1ff82a, 0xc643c3409f2ed036,
0x077764a906b49b52, 0x0c0be7cc9b0601ac, 0xc72812964856cd7c, 0x8e6d1d1612adeda2,
0x8b63660122a14ef3, 0xbb77167fad558d04, 0x6c0687e55d6fdc1b, 0x5c8a14b9ada3f720,
0xa9837a1be7d5cc1c, 0x0e9b9b851e8be000, 0xaedf7f77d7d9d23e, 0xacc1a344f673b59e,
0xfde9da89b2a8dda8, 0xb3cfc7749cbe9aae, 0x0387aeb3a39c0ec9, 0x9a6582348139af0d,
0x47f019dbcfc35cce, 0xbf2f59a7554eb293, 0x655028fc0b53037f, 0x234a32a7d7b88db8,
0xdda8dffceff67270, 0x73d3bb89d19ba899, 0x9c22d9b9321b3e22, 0x71ee62c1d06de362,
0x7abf0efb7398a474, 0x19eeb9bf87b04adf, 0x041a65022f575411, 0x74fdd01facbaaeeb,
0xa8d6da78b97ba34b, 0x79cd93316e22cc56, 0xee5fceaf8f7e3f09, 0x8b553def10b23433,
0xb313a697c58128f3, 0x7e800f682a5151e5, 0x720d4f85cb0ff62a, 0xc5bb0f7cc98bff73,
0x64d1121886f57cb0, 0x6fe272cd86e760fe, 0xb22a2bad9eaf5da8, 0xe101ee90526ebbda,
0xbc10a4f1234ac302, 0x366392d87bdabba5, 0xec86facc3094c567, 0xd063f1d3a15ca4e7,
0x4933e1e79ea25542, 0x3ec6e0d97a07d13b, 0xdde4387dd5d7048b, 0xc872294ceed15170,
0xcf1fc2b88dc3b938, 0x2b22cd0ae1db9a09, 0xe820acfb9d3aba94, 0xf3ee426e2d717cf8,
0xdf73b5744e40ddec, 0xa3d78de64f41d27b, 0x0bb7970a153b390b, 0x5a97b73fc02ecc76,
0xf5e825e01a0c0526, 0x24ca17958d5f9bce, 0x1ad0b1b6786050e6, 0xb61b2c8ed004ea2e,
0x5201c10d0253c063, 0xe205552ad73f348f, 0x4ea7058709d54aec, 0xd5bfc501c6042c7c,
0x132114c10fd80719, 0x4c46c0e817fc74d9, 0xfd39f91d25e1988a, 0x70a94aa1af7c6fd0,
0x27d2d577778fa09a, 0xe082c15573d3efab, 0x5cee67e3c2a98563, 0x4a760d4f600cd6ae,
0x53953646cb1468a1, 0xfae329631b6808c5, 0x0be60bef66bdbccc, 0x76b5dd1e24265fc5,
0x06f4b5b644608d09, 0x1df17698e506ea02, 0xb8e581555197280b, 0x528d42bdd74af9cc,
0x05589f0bcb5b0e7e, 0x245926acc4732aca, 0x56d6ab0b0d751eef, 0x22dc58c3cf902884,
0x2cb3d99efac0aaf1, 0x68434cc011eae7ae, 0x9e7879f5895b0ea8, 0xfca47e35aee48554,
0x335cc314abb7dc6e, 0x37fa2b11d8291903, 0x3e3f9927c8b95ac5, 0x7596c87ee268453c,
0x7d878ae25741b216, 0xd7e55f4f3c661959, 0x2880153a576bd510, 0xad1b0c64e7d15ec0,
0x0e5a5c3682f367b1, 0x0c6b493240d4b3b7, 0x276c7ce6a843b153, 0xca419aed6aa95b8c,
0xcbf473f5026f80c3, 0xa6facd79a417d6d1, 0x9821411c083c6c8d, 0xd6596e9d24b090cf,
0x096398c8e680760e, 0x9df16cc77f77bbe4, 0xec87dfff1acdc1ff, 0xab0ebb43021a405f,
0xb04767572a005839, 0x59c083ac23f9dec8, 0xb26e1a4d34501409, 0x73a91779ffd862ec,
0xf2572b5602da1ab2, 0x40b448232a7c712d, 0xe3fd6828723db975, 0x331cd783b9c76951,
0x551a3141cdd4afa0, 0x2a9d34e1d7512de2, 0xa17846cdd1afe710, 0xe8253c71153a383d,
0xac111dec72748a73, 0x27eb995c4ab2a4e5, 0x62d4217e32e0ae12, 0x1b48d60b95ea496c,
0xe34d6a8a13c66bfd, 0xb8c44e3f56fe0d8d, 0xee43cd6dec7ede09, 0x511596794c305347,
0xc6b73dbe48e65803, 0x8f6f2b3ca1c30c4c, 0x8a2766f7d0f8dc57, 0x3b7d4377c505b5b1,
0x66a3dfbd5eaa3891, 0x84b86daa5bb1be5b, 0x3cc4a67617231b3d, 0x6ff8e897394e5630,
0x8905dfeade7b2b10, 0xd13e8b0a1c289a16, 0x5c4a2dd7d91806a0, 0xbb37510165a709a6,
0xeb3f543405a3033b, 0x3486531fb981cc75, 0xb66b4123bbe935cf, 0x19471235b2e5eba6,
0x8e3e80b14ba9f053, 0x1eac925150d90d9c, 0xbfbafdbb9a4ae0f0, 0x650da8d532acc039,
0x3ee9d7b69a84c9c8, 0x6b3caf192a958cbc, 0x5258b72debece466, 0x76d5f13566b25dc7,
0x7fb4290a43974c04, 0x539966aed4a713c7, 0x354e05f48955e8af, 0xcaa89635d4589b4f,
0x25a90e771ae50873, 0xfbe5a6dad77b363e, 0x5dfa1ef45e4e89b5, 0x850ded439160bc0d,
0x9d6bcb57fc7ee5f3, 0x20644f05380f107b, 0xf5530ffe5030f7a2, 0x9c3d15a60f400583,
0xf453224cca482bac, 0x4938b2160cdd6229, 0x56523b710efcf3b2, 0x92e3ff47735809e1,
0xf0179956c01b834d, 0x885ddb2f283d5bb8, 0xc142a552a9dc6503, 0x8ae9d8d69c0ce536,
0xba7424aa61225674, 0xda02fb25ac87c6f9, 0x24fa86dd462f2c17, 0xc5cbe5e6a1c27002,
0xb58af53e273730b9, 0xbc423e3b5b6b423b, 0xbfd482e6f83af2f5, 0xacf809e5edfdedcf,
0xd397d4904daec822, 0x38dc276c2f305a8d, 0xe0f7fe00bdf9af89, 0xad78e8c89333a14d,
0x38814f6e19a181b6, 0x01ab2bdcd6721c0d, 0xa4c2cc705383d9c9, 0x3cb3ee9a0aa9a715,
0xa9b9b6b83cebd9de, 0x1c00bbb7b09ce4a7, 0x27d86fe0b2604ef4, 0x36f4d80b5772cef3,
0x01b0c8bb000e2d8b, 0x64ce5731055d7d16, 0x5fa750643a153e82, 0xa12191b8ef5cf369,
0x2c4cfc42e45d9935, 0x3b94396bc848bd4b, 0x9e802678412db686, 0xaf3c12a7ee39f20a,
0x42e4fed3523edcb4, 0x686e804f132ce3e6, 0xf056bb9cf46cfb73, 0x4b98f1b7b6e3703e,
0xe1d64e56bef8cd77, 0xe8d79922fa0520ad, 0x5fb12b935ebda7dd, 0x1a202b9abefe3556,
0x99b81165d1c26fde, 0x93f61afc9cc0d192, 0x5ba564f367170084, 0x6967b93e4513278f,
0x68036d55ae7e8a0d, 0x100b1d0a89d5196c, 0x02d8c1b2f3a0221b, 0x90aa07065bf579cb,
0x50230748abb1a5ab, 0x9360177807d84e25, 0xa40b8b480b0c7cdf, 0xe159a74904d949f5,
0xaecb0353fc9f6cc2, 0x2e17626483dd67ad, 0x295033d20fb07562, 0xac23bd5bf81202c4,
0x614adf6993b552cb, 0x372c426d9ba8d695, 0x6817d158447c6db0, 0xd711e490bb0a96c9,
0x42ac67d5d68e5e60, 0xb577d44358cad9a5, 0xeb9088b8b9cc02aa, 0x4eea848c36d01b59,
0xc39d05204ec54f0e, 0xe9828ebfdfb3fe5b, 0xc5040c3176538a2f, 0x984bd3217b830911,
0x06693fa6c3603ef0, 0x259c81076f9edc75, 0xe3c16cf9664d3907, 0xd430ee00b2881173,
0x8530d7db605e5628, 0x42f47a718fbafc99, 0x50a608c2fbed8a9e, 0x9c26bd531ffe3fd9,
0xe223dbae34e1aea5, 0x5b0b0240280b06b6, 0xd76b9c1ab6331dbb, 0x8976aec739f8bde6,
0x3b4e1cbdaca0dea9, 0xc08686f40577c408, 0x5ceff49262c3b5ab, 0x8f47c0c2afc9c587,
0x15289d6b6d62851a, 0x12c6c9dd51627dc8, 0x0b2ebc403d3df551, 0x5aeeab941ef98d4d,
0xa9f12659a3fe86ab, 0xb6d2b1b9dd255757, 0xb8578a8a29bc39cd, 0x180c6edbe5928616,
0x05d33444576686c1, 0x2b4c641b4c1e5d89, 0x4e472b011443636e, 0xdc8d4d3357d55249,
0x127d9600ab065506, 0x7b37bd7b00b6ac5e, 0x78429bffbc743113, 0x3bf46cefb046253e,
0x9f6984a37b1a8c78, 0xf779d4014a269df3, 0x1e9ad59b99e2b588, 0x0f4ed05c88e7db9a,
0x8ba3d1d87e794bf1, 0x364018d90031fb40, 0x8331e251cec518b8, 0x4cc30fb8af6a860a,
0x38382cf1439dbdd7, 0xac04470c04156e11, 0x59f5267affe1403a, 0x5ef24c3e6a8f4170,
0xdc39a477ef1e3bf0, 0x3fc37d5901bbf073, 0xc427ee1b31d1c02e, 0x4be6b1c312dc89d0,
0x221fa07be5d8593c, 0x0d4fc8689de97adb, 0x2e17f7d9e3d12cb7, 0xc594ef6d43419f2b,
0x9116abee38b50c82, 0x51c52fd7fd28b49f, 0xf73f86d0b9552dd9, 0x834feb44ac603498,
0xa9839fb500f2224f, 0xa24c74e68f5da2b4, 0xc639d19b51e54bb3, 0xe953140e20febd80,
0x9ff0572a3e88ba86, 0xda4dce319a864fe0, 0x322019c432c6b022, 0x216e04657bf3881a,
0xd1bdc3697605a32c, 0x6239f065f8a63dd1, 0xe246d650120a72df, 0xeee591b993c7d9e5,
0xb47a497972bfc831, 0x3788a416a58d5f36, 0x48b2d77e38c2959e, 0x9a2d22f84c6a0dfa,
0x5bb259df6715569e, 0x2482ebd7239fa03c, 0x7158dc7fd1b04659, 0xb541c0b84e8080e7,
0xbf1938ff28cf7df3, 0x1d1d5623521871a4, 0x83880b816f22c83c, 0xf2d9cd23933ca820,
0x02f1bc9202e79f3e, 0xce0b642537878387, 0x6c0eea5c09641d91, 0x359118f2bfba7f36,
0xd37769614e8bb12b, 0x5661db0649d7d428, 0xba5be9c74f4d9e82, 0xbcb40c8a196f906e,
0x811c4dacede7cc8c, 0xca2bc0c4eeda9ea5, 0x7b47b3a5b7d12a09, 0x1d38d56d187b5317,
0xecda6910b28a65ba, 0x42d43b004c8c2f9b, 0xbc561857d386e072, 0x7b6025a93f711eb9,
0x7edfaf73d1ebf423, 0x493db7c3c21c8ae9, 0xb6cc327fc8fca50c, 0x100d33c71621cb00,
0xb14e75a7f402bd3e, 0x7f0fd112998e6aa7, 0xfb971b7df0cf0305, 0xcce6fad26a7146b4,
0xf1b70b605d8e0dc5, 0x58522922a86d9caa, 0x073694e0a6a9a7b8, 0xb2ab94eb5da08701,
0x15e1b14edc5af741, 0xc18ac460656789ed, 0x681febbc0fcfe064, 0xf718e44338801be7,
0xe549788c00fb2a14, 0x4ed07586d4719b61, 0x7ce4c1ddf2f6f93b, 0x90d0647fc59e79e0,
0x75a8d76135a560ff, 0x0576cfeccb2b49dc, 0x6b964bcdf9ee9405, 0x93c8100934fc08e8,
0x4652fccc60771c39, 0x6e8702f63db7dd1e, 0x2ebbbff348f4f4a8, 0x03ed452f6ce04e55,
0x9c3dfd4f224f3a9f, 0x3dccb7e0d3b15369, 0x0a2382ee842d4fdc, 0x58676a605f19f272,
0x80bde8f51637b6e3, 0x9a5136aeb60225a9, 0xcae720b31404842a, 0x2a383cd7509a4082,
0x07e6194d1a5ffbb6, 0xfee25c0add70b04a, 0xfca6a8da7c0f64a9, 0xda29eede78355989,
0x10217f2ee22c41bc, 0x4283d723d7e324d9, 0x96b9b0ec5c12add0, 0x3291b6a6ee79a9ac,
0x535965340cad2fe8, 0xdf08ca2a04135008, 0xf911a3e5180aedd1, 0x74651696b0aa0bbf,
0xb6cd9282a816c4c9, 0x236a66ab958e3bed, 0xd6a0351a7d05381f, 0xaa2825ee5376f12e,
0x3385bed07c35853c, 0xf28d9a73f1a15641, 0x2821b03f0dd7586d, 0xe2662af03157ec1d,
0x8684925475701d69, 0x1a3c3805c3f55e69, 0x3b797b69a2e5e1e5, 0x8fb83d2d42854f7a,
0x7e85bc3984776a04, 0x9e8535095d074d8e, 0x80438376394bd629, 0x54b70ac619bea9b1,
0x0707cf21da936b10, 0x89346d57c574d801, 0x7920522e806efb41, 0x6226cc0bd1cc0adf,
0x21de5073b66ca898, 0x26fd4ccad6e09c04, 0xf2938d59c1cff5ee, 0x3281aa2e788372eb,
0xb58cd1e3555780df, 0x4985704534857b2c, 0x5da2e64a0061ae75, 0xad9e55b120b3cad2,
0x59d7c7558a7c0696, 0xa7a250a8b7614398, 0x53e79b60d1996d68, 0xacc82675c77c0360,
0x9246f8f0d0c21a7a, 0x3b013de96fba5dd6, 0xa4625852462f3c8b, 0x25d407f2854bb16c,
0x786a22afe48ed932, 0xc2706706d42acd4c, 0x83b13f0cb9957f94, 0x44687b76d0a2c892,
0x5e8789526efb1a4c, 0x044a0e28299104f2, 0xac5a07253e1599d4, 0xe110dec16f578863,
0xcd8ad0c903c7fcd0, 0xf737e0335cf99a0c, 0xf7fa1221f164ba0d, 0xbba04ed1b05ed6c9,
0x783fb7b111149ac7, 0x7d33ff4e090274bf, 0x6388a9746d0050ad, 0xdebc58d7aa14b90d,
0x0d7f966584b03c9c, 0xef4fa3e1d79b8ea1, 0x62f6b13e45f07436, 0x23d2ce3ee1fee870,
0x54a6b70450cbcc2a, 0x5a938afef070cae6, 0x4e5d255a50bbe052, 0x52fda18c50742990,
0x041fd2f6549ada1c, 0x06f6ab85ffd028c5, 0x2517bbdae2b5f33a, 0x153165fbe4f0b6fb,
0x57b86ae658ca9642, 0x95e59a04bc7fc8f8, 0xfc660809c7f659df, 0xa800b6032603c310,
0xf09dae04bb02ed1c, 0xd75638af0f171fe5, 0x6c5b388a682d37b9, 0x8b4f44fcd2a2f2a4,
0x9e4a66ba8cf8f0a8, 0x484ba7bb18b8ca05, 0x317ca915b10e9b9b, 0x0396a9e20c5dfdf8,
0x076d711d47039bea, 0xbe11a029a8e26cb1, 0xd83adb46bd0f306e, 0x5fa5859d91c4b6ec,
0xd495c32969586b50, 0xf9dab3b4efd03652, 0xdbf1411db43aef64, 0x053ad2d1fbdbac7e,
0xcb53b5a673d59299, 0xf16dabf60a5f1620, 0xd599f3a7ac81fe23, 0x084c55c0b13dbb73,
0x8a37e041c33ff108, 0x9a20507f229901f0, 0x952381708eaaab19, 0xce3e60a911adea9f,
0xb24d0ea225757a17, 0x7df9c1c3dccee478, 0xa95ce32559f1242a, 0x16a8ca55c0c10c8b,
0x2a84a5eff3d3aae0, 0x47b1e4e3a6757dae, 0x46276db095d9b343, 0x6ddaaced07e1189d,
0xc5dc936d36d1ab46, 0x45afba7dfa3da5a7, 0x1ac15182f8f377e2, 0xda59cefb982f5649,
0xead873adb9cc9d9c, 0xadc1daa6e9526e55, 0xb3eb9982870e6554, 0xa49ecac14ee4bd84,
0x4d3ead0444662db3, 0x9fa3f51b9cab5713, 0xf1c5ef0d15b5de33, 0xcd1fc13dd78587a6,
0x5161a0675a9a6edd, 0x7425eb83791c302e, 0x5928da7ada207b7e, 0x6375c8cb9117e707,
0x940777b1918e6278, 0x7b63f1ef16921659, 0xcf81a9fac69ad6bd, 0xf62087ceb228ce05,
0xe8d461ba645d55bf, 0xf1c0645c0b541e64, 0x448661994470a165, 0x5de8c01ec2339f21,
0x78f5d4cc0d9fd908, 0x344cfddad86596f0, 0x87a6ccbe6e597cc4, 0xda79d1a3ab947672,
0xac1695531ce42d16, 0xaf3ea33b33ed8962, 0x19fc70e1e0d51b56, 0xe275d8dce122ea88,
0x00c3a18447f6d95b, 0x4918a35167cc533d, 0xc3dd9adfa99c3176, 0x221dcdc52b3d97e0,
0x3cf7717505485b94, 0xd0b8512cc428e3e5, 0xecafb64ad72469fe, 0xb0ae441963f22554,
0x107b2ada1915dd7d, 0xbb1058c51d414732, 0x544f2eb9dc624d44, 0xcd55b8020140729a,
0xd1e8eec02645e66f, 0x9993bd6edd498aef, 0x51059c504807f249, 0xc86d8a3b265aef26,
0x42bba851517da888, 0xde136def587cf15d, 0xc43449a9e521ebf1, 0xe78c37548b69f458,
0x1b5505dcb9359706, 0xc132fae79b87596c, 0x66f80ed0f55402d6, 0x990718c8d9b3c3be,
0xbf4428183b8010a2, 0xec25bf3cc9b033f5, 0xae9baf8a00c13de6, 0x1a86a3fee63d859d,
0x5f0879d562731087, 0x37e769bdfe25689f, 0x841ec71ddf08daa5, 0x2546e68dbd97ad35,
0x2ad8cbaced7f6582, 0x55a7017295a07b9b, 0x3811a0bd7fed8668, 0xf14f17b39ee0d520,
0x30f0a1bd21a950d9, 0x6325a89610d3c33f, 0x3745c78ffe9848dd, 0xcff4aae2c1abfd7a,
0x24f0779ec0819e25, 0xdde346bcdbd36f17, 0xf0b353d616c9e82c, 0xc43758e13575c0a6,
0x5c40b054e444ebfd, 0x0ec7a32a3607ae9f, 0x159f1ccdd2ffc5a4, 0xae4fe26a88d957a4,
0xabbb9a91fd91410e, 0x00a7acdd900d041b, 0x3348fc7ad8d80ff9, 0xcdeefae7f52a08fa,
0x3c4785569dd936c4, 0x03a7e830f692d0f0, 0x210d33973cc4f5bb, 0x3bf18cc6802f0779,
0x1085ab5904cc999a, 0x0284a616492747ca, 0x120d948423ed5e6b, 0x2c20131dbc5b7d9e,
0x0d87b9edc35c9f4b, 0x9ec60dc492d06627, 0x08504d228a86e239, 0x8d3c010ad7f0ef8c,
0x8564d34dac0c4f5d, 0x176024b99371f730, 0xcbd16f32d8d1ee4e, 0x92f6a6dce381b78b,
0x2994445875ca9fdd, 0xef229c3bbb957d90, 0x6c2fefee97be83bb, 0x94cbf732af8ec02c,
0xe76b971d703eb96b, 0x028e42dbf878b9af, 0xee8ff81409b8a3f7, 0xcaa7c608474c5eec,
0xe0b25f40f8a95229, 0x614d19e395026404, 0xec773dc21daedc04, 0xba48556baae16388,
0xb0ce57fe2cb3ae70, 0x0c8cd6c46311b484, 0xf025be0fa84e32b2, 0x414956b10d5e09ef,
0xf82a175185950ed5, 0x79c5cc3172524a1b, 0xec6b599ca612d0ca, 0xde6357473c0de2f6,
0xf9beebbbbe2d3fdf, 0x64aa78062ab46940, 0x5c33be60d91f9967, 0xb845f47ddb2316bf,
0xb5217da519e8873a, 0xcfcdf527beb7eca6, 0x8aea0d207833902c, 0x6b9433ca3d4846f4,
0x9327d9b9ec453ae3, 0x15f331994a71120e, 0x642f32d572770513, 0x0203ce21279a2e0b,
0xad60b0e8013517b9, 0xb2a87adfe0c45cfb, 0x40756072bf13f93b, 0x6e450f85f2c49750,
0x2b9ffa2249d4f7b4, 0xc21e70ee6cfe7cdc, 0xc4cdf0e71771da11, 0xde53c5b5f2f1d0d5,
0xec95592ba613c23a, 0x0a3a93340fd40fd2, 0x03e043c5965dad7e, 0x520f3dc6b0de8694,
0x7854f2f16b671c87, 0xa3a56d160ed7a7c4, 0x3cc2bee4e4253063, 0x05e13665813d145a,
0x5cbc21eb53c63872, 0xd1996590eb467b56, 0x667d874b931576b8, 0x1984f1d7dc4d3c12,
0x80437fd648b16226, 0x516e2eabf31072a9, 0x18951837e2ececd3, 0x3ed1d4a7655326ec,
0xa5ffe40a6eeea354, 0x5278c3ef75049337, 0xbfdd81c8724948a9, 0x7344b3e9d3fa3840,
0x332dd7b2a4a06034, 0xbf17ba5e598b60b2, 0x3ed2fba7555b396b, 0x33cfcfc6aa117e45,
0xef626c2d01ee8ee8, 0x68b83a99d704fff1, 0x14f6a8d183259d84, 0xb0649083cfee42ba,
0x807e1e81bf7d8906, 0x08ecd1a92907c8a8, 0x30d86f55f18f616c, 0xe5ae9f6604194f19,
0x2c914dfefed7e32d, 0x0fa9d846863debaf, 0x39d365fefa1b8b66, 0xa6914e2c30fb0836,
0x209587c1cf285735, 0xbbee81efa7db82f0, 0x69a929a9e03a27b8, 0xe241c119084692c8,
0x1574d62a36ffa72b, 0xef7a234af30365b5, 0x6e59903b6770870f, 0x574f6a8d9cd025bf,
0xac12d512d7d9ff83, 0x006226cb3dffb9e8, 0xd10c2e70ed6ca633, 0xaa5611e494a62bb1,
0x9492e5a3bb91b4a3, 0xa44a1ebd6db1e7d1, 0x6c5b301b349f2e70, 0x86f528c119ff640e,
0x9379d7e604a6ad12, 0x938cc67f226490f8, 0x01584f8b9159f464, 0x7ab1109eca29cbad,
0xd1706cb4e50f5b30, 0xa988fcd75bf08f81, 0x80e21af3fcd319b6, 0xdf3c99cb38ae85a6,
0x106e46ea26b2af54, 0xd25ee32804558f2b, 0xf704bb889cc52e2a, 0x3491b586132b43e3,
0xe77d908cbc7c89b8, 0x84af26310189048e, 0x9a7165cb6dc883cb, 0x32ac4686c2ac8c6b,
0x5892839049867c93, 0x185c641dd0102644, 0x80eb59bff6a6c331, 0x0b3c36cf208300d4,
0xaba0e097a84ecf7b, 0x923f67b087a3c7fe, 0x5995275d3f9dd738, 0x6645c750f4e9f133,
0xa6a1153815a5dd5f, 0x5d0f9d846a22ca90, 0xfa2bf820de16d38c, 0xdbbd9197ba5309ba,
0xdfcc51025a2d276a, 0x530d57ac25fbba69, 0xaec92d21327fe30d, 0xbb26b8f6104c6cda,
0x7b84db2f4d11080f, 0x91883dfb2b54f6ce, 0xbcfa679eb41e1283, 0x7d28333d0034eda4,
0x11a11b199e55f7cf, 0x970b1c214263e484, 0x39429b421720e3fb, 0xe5d96148e49ee1f3,
0xd93793be95952616, 0x4d46320649ca0b61, 0x6c6584154d389519, 0xf08b76215515c640,
0xd64c6f09daf94797, 0x569a38a30dbc9e84, 0x25f46e5d05c5cc83, 0xdbdca940dff6f7d7,
0x1b8b9f31a6ab1bff, 0xd1d20541294d79bb, 0x0f7da73684c7670b, 0x060cf94a531c6950,
0x0eb236e888ff6736, 0xc1fcd2670521444b, 0x9beffbb82a6c0633, 0x942e4a635209a344,
0xb41801e938d0e3d0, 0xbba1b57b7713ca01, 0x25e4b7f3254dbaa3, 0xfc6c59cf5aa6c333,
0x3127ea1f0afab63c, 0x871d4110ec405664, 0x4569d1bfa03bb9f3, 0x684e0a74d3e0f549,
0x4608b001ed038410, 0xb2e439be2cd9999c, 0x2337a130dfca21fa, 0x574693f758abd7f6,
0x8c2d5088df328d29, 0x572f502e601ae05d, 0xea311cd257f8b927, 0x9a2077d5c467c672,
0x0f1b6f7d49fc02c1, 0x2f0b65736d65933b, 0xbc4996a7cfb754aa, 0x62b82199852c60bd,
0x9c83f741ae6d713e, 0xfe1cbb2ae64926ac, 0x33711ae6b37a7d12, 0x8c393abee1eed3ad,
0x0aca6314bef5c746, 0x08ddd91c7eaec4ee, 0x9e6e7abfef89d093, 0x2819563e93a2e4a2,
0x4cb6022e20ce8e94, 0x1f68f6118b452015, 0x6fe26e1acff61b26, 0x2f00da434955a6ac,
0x712996f9cd092af8, 0xe240e77a22c5fe28, 0x1fdffb13efd96691, 0x327cb474fc6f86d6,
0xd4c5730b252f3a33, 0xb317defe5f317a0e, 0x32e25b790a02614f, 0x6a15f06d83a0a1fb,
0x370b50ff7b77544d, 0x1bf51ea13caaf4f4, 0xa0af8a70e7766e63, 0x0eb0600db8074253,
0x06281d0a011a79ec, 0x377343894b28db90, 0xb824ceed9d1d3a5d, 0x12b775513f0f66bb,
0x55d995174e9db042, 0x076f8b1535892daa, 0x721e532252888002, 0x3cd0f01ae6ae5a5f,
0xff1abf2b85715f68, 0xc481d98ca5b44a3e, 0xabcf5b6d811cc8ca, 0x3deb89d5eaf5f0d1,
0xf2cdbe0a72a36963, 0x41a189669dd26a66, 0xbb21393d190cbf21, 0x0b8ae3e152ef160a,
0xf9b3fb205bc60642, 0x97d961a7fcc17019, 0xcc3bd568e2d33583, 0x3f60b2ea2c4a503c,
0x9fa174fe0f7afc9a, 0xb4efe92d511eb893, 0xa119057aeae74caf, 0xeca9f5f791eef516,
0x98575edba7c69d1d, 0x195bd0e47e4e36b5, 0x8c23a24d071ee445, 0x70d2d956d0dd835e,
0x376811b131acfe91, 0x4c79c5fdbbfd0cfb, 0x99fc3d6eb750d007, 0xeba8b3be5f576336,
0x477e4e59f4fdc9fd, 0x13885032cd58535f, 0xc1b55d3355638eb8, 0x3d2f615f169d3f6a,
0x843c29f5b6e7535f, 0x512aa178fa51439f, 0xd65dd85db34c0471, 0x6e42d2875d831f3d,
0x2a8a7955e2b383cb, 0x1001632aca64cd88, 0x34f0d6c7cde3a74e, 0xe33a9ebf866d3399,
0x29dd439e559298f0, 0x10ce1d7517cc1906, 0xafdea236b8b85bb8, 0x85c0816a13162151,
0xaaed4331796c682a, 0xe2c8a792ba1e85f4, 0x0366dac07e900e96, 0x5ea6bba0b16c60ea,
0x3c940f47c0009c22, 0xe1df5ad747f268ab, 0x3cde1e9e8059b1cf, 0x8cb9fc001026e3a3,
0xe7ae2474d38d316d, 0x82cd58cf7538d495, 0x7dd8a28255163980, 0xd674bd6d9180b886,
0x034febe527a380fb, 0x34ddc6f42ed7a281, 0xfe26713067c8fc70, 0x374e84b39b68aa65,
0xf4c3b526011e7357, 0xd2ce72a2106e6c2a, 0xf3054cc94450378c, 0x37e6d57fe0533fdc,
0x58648d4cf9a256d4, 0xd29a11fca3e174df, 0x36d8649aacde7f9b, 0x94e19f77059063b6,
0xe5e89b51b00cf9cb, 0x2c751e818855bd7f, 0x0f89e2c826828dc3, 0x7e891fc8e17d9c8a,
0x3628bc962ddf6430, 0xdb45c304f8da75f3, 0xf7741893d30ae47a, 0xb291fc7dde5f1ec6,
0xe7fca007afc3cc31, 0xc70bd6ad2123fe11, 0xbe67528ea9794cf7, 0xcdd223f2d2f19621,
0x2904b24f15703c2e, 0xccc5ee9f45b57712, 0x227d0b633a9b19fa, 0x35843a8569d46491,
0x020dc9bb26460c21, 0x238403a590796adb, 0x31f0e12c0eb5dbcb, 0xa38a3d0d861dfebb,
0xde2fbad1f785501b, 0xee2b30c4f324138b, 0x98ab99d5bfdd9c69, 0x861e82db61d94095,
0xf01365b57887050c, 0x4035ec826c3acf86, 0xa8e0670e3c42f052, 0x3ac90ee28f7a13e3,
0x6e6851a2e9928cf0, 0x975aa980363ed943, 0x5d5e5a01730bd6a2, 0x7750c0c7bceb983a,
0xfa45b7f12b26fa8a, 0x498c63f2ac2b04ff, 0x605601a3321dce10, 0x9bee862b986227b6,
0xf861fbbadbdb630e, 0x7083e40ce4db97f5, 0xdb681adc2d8a7c15, 0xf681a91cdc681b1e,
0x268fcfa3224d3daa, 0xb4f63c71b72b254f, 0x540d8a4953be95f1, 0xf9e98bf8957993c5,
0xde4c584383ce966a, 0xdab33cf5146eed4d, 0xae8160cd7430f54c, 0x7e25be30091b190a,
0x0eeaba5b899bf74c, 0xe4ec82d56334aca7, 0xa578b137c276bfc1, 0x37b2443f3ee0d387,
0x6201d379be970090, 0x1e60191c8936e4a8, 0xc479e792f67028fd, 0xffc2702a1ec11028,
0xc01d455992035e85, 0x87d6a3ade7518b6c, 0xc2d3946ec8e21795, 0xe2e4f33c9237cdce,
0xf59edb1c6442e9b6, 0x58011d6932fc3128, 0xcfa7495bf1747a29, 0x13c8fdb961187b6a,
0x39d457d928d21f0b, 0x10122608436b48e3, 0x279eddc8503cc1e6, 0x223d709a37ff2861,
0x8aa47d71f3e49b7f, 0x849c6a677aa4629f, 0x13073ad393e934aa, 0xf988c87ef3ae715b,
0x82a1ead4d546ab53, 0x84ca560e15e3405d, 0x6a1e83d44e2a2177, 0x5c374cf6d186c23c,
0xf38e63022563c0db, 0xd9a7bdaea181fa42, 0x1a2e8604ee7cf6ab, 0xbdc7682cb0ebacfa,
0x45d3f679ccd1894c, 0x0ac2b829ecfc8c60, 0xc2da590f8f0bbf89, 0xc02cf0f17df04fdc,
0xd32e8bcce7d404d6, 0xd597346447734f5e, 0x8aec16b04d7de9a8, 0xcf22898783c9797b,
0x04622ce05bc21853, 0x14b3227ba08a7f94, 0xe92db65a356b90a2, 0x73f2030e32461d18,
0xe4289c18c25e81f4, 0x8e87c9460626edc8, 0x76af04ef0d37c672, 0xfe4ac3f909004738,
0x17b6adabb26ba928, 0x34cacba2184a050e, 0x59c0d373d5e2f155, 0x43cb03e0bee6e56c,
0x014a3d4d03442912, 0x4d64cd9f1dd31262, 0x0e3dd0eda3befe30, 0x379341cdfe314be9,
0x007672a61fc9f3d0, 0x106aec40b8f0b706, 0x72932430dbeccfba, 0x44329422fd5250c7,
0xc13d9de94066c03e, 0x9606343f6e8fbb39, 0xad0b36a2023b7e9a, 0xd392718f636e3916,
0xffa661d8473ed057, 0x8e89a93b64866159, 0xe0ac5d9ef1b35489, 0x9a8e5c77f8e23fdc,
0x0d69d9d700830b4f, 0x9d4de4d3b2893214, 0x421d36b2b977f44a, 0x08441ddfadf7c82b,
0x73d5e36d031aa64a, 0x0178ea238f4a668d, 0x41086efcd137c9e0, 0x93815bfa246fa7d8,
0x2c2c7af010e8e8ac, 0x69aa1ecae6702468, 0x86c7df8792f2a816, 0xf9eaf333564db1fc,
0xaed38689b13d44f9, 0xed31bea13b137101, 0x86c8b2dc72877b7a, 0xdd1ce9c96c69de43,
0xfccd5d96c27bcf4c, 0x140142a084740d51, 0xead5b31a3bcffff1, 0x3d33179449fd804b,
0xb72eda6c6a0f089f, 0xaa28cbfb5bfb4675, 0xfc6e4863dc890a0d, 0x2de3edc7d578e5ed,
0x27b2c659e7a9753f, 0x32a3d8117b48cd4f, 0xca503b515b39f4a0, 0xa677b99f25bc8e20,
0x451fd81f76994ae0, 0xf3e3a4740bc75b71, 0x80f74b3b5a91f164, 0x7564d53caba94fca,
0x1bcb503482da6d94, 0xade40b59f1a695c3, 0xd505ab145c91c673, 0x732293f3a00e0f9a,
0x9b63c01737b24402, 0xaf081eada0ae6d72, 0xd87a89d52c0039df, 0x6adea921fd87a5d0,
0x92024529e22929d5, 0x89f394700e0310ec, 0xe49a26d982be56b5, 0x61462514a0de0983,
0xaba899b577b13826, 0xb6804c2d5ca7934e, 0xa07250312b8e0ff6, 0xda96a95d7b3192d5,
0x3a19d74fbba1a8c1, 0x97a8361c6ade2a61, 0x84b8958e3c77c548, 0x145de3835d14ea35,
0x22c98fb2c9f41283, 0x638b9625dc156b46, 0x7bef5679d95ad5b4, 0x9e7181a9d72bee1c,
0x8e3ec5543ab38848, 0xc1715b1b79de41ef, 0x928e894f6770bac1, 0x4b42c5ba57efc7a3,
0xb9b37daaedd851c6, 0x522d8e3cf65bea04, 0x0d607f65046c1dd8, 0x91950e1c6339cf74,
0x4ad019797988807f, 0x9a7aeb1551ac64e0, 0x0564d9ec1415e3e1, 0xe74ba9d93c061c1f,
0x7ce84a7a41eae055, 0x6d4427bfb4f8d6d5, 0xb48105e0cc573a10, 0xc6af6eed024f5e31,
0xa8c5202618b757a6, 0xcd1dcf8ed7a562cb, 0x9deca935e9bde00d, 0xba1ff4ac95319622,
0x004373b8a9c3d68d, 0x63c375ae1c9c995b, 0xf30181926ff19e0c, 0x2818354995394ffe,
0x34834b4b7ed87b64, 0x15e6d05b73e8987e, 0xd2d2323012f37e27, 0x97e9784f4a1e637a,
0x77ddecd7b4c6470b, 0x27128f0f10179469, 0x2c6cd115d0eba682, 0xd88a0dc9eac90b9b,
0x4a6d39b8eb620c5e, 0x66f330eadcb921e3, 0x78bf4bd0aa46fd47, 0x6df84089fabdf014,
0x2a4ab3428a29eed3, 0x525e0c856c41d5ca, 0x1230c714f17a1519, 0x227e27cb5adb4d15,
0x2eae0a7c7d0302f5, 0x20e2baf1f2326dcb, 0xe5c9ba92458428e2, 0x23827844e6abc7a0,
0x8fe92f51c3f08cad, 0x04cc291799d15b4c, 0xd769387e1b0938c9, 0x4d92581bdf1c882f,
0x51bc6114de8f52bf, 0xccf7264fb4fc324a, 0x71604a70ca496270, 0x0b1d85fd198ab5f2,
0xe5f7c7fd349598f6, 0xf6f1af235d3d170c, 0x411196355f4cb176, 0x062554f27247fb62,
0xc2a3d2456635d561, 0x3f5549e9ff5c4361, 0xeab782b5e0676c0d, 0x6d75fcfd8c41e5da,
0x01d22662b2f10946, 0x8dd5609142f058ad, 0x1e4a47028b57429d, 0xdad68252963b2aeb,
0x5cd07b22bebc724f, 0x301255351476849b, 0x65426039acc55345, 0xc59177fee81f42da,
0x6106d885bab39822, 0x34ecfa3eec4ee67d, 0xb2ddf76cf67b12bb, 0x7b8390c344454a64,
0x1073f8c4519fb963, 0x44f8ab2aa3bf3c98, 0xa5f68ec3e120a9b3, 0x3b10cf522e7a1416,
0x427becea914a8819, 0x5e9983cf1125e4fb, 0x8bda6b21e34d02e7, 0x307192a1daf91a02,
0x02c86eabb4a1e657, 0x7820ae0495e1f2e9, 0x2b1ee5aef70e365e, 0x717a5ae0d24ccdc3,
0x44152db6e842cce6, 0x15f0bfd53b68e078, 0x788c4704f9ae91e2, 0xa434ca03f8f80e34,
0xa8513ce54077b73b, 0x64c986673b9f6def, 0x3599d1f40408508d, 0x830b26b446b88edc,
0xfc0c6a59fa4dffa5, 0x6fc9e4da6c59de2b, 0xf9cb100ee5572428, 0xccb6e919f73d3e60,
0x214675187f1cdc33, 0x8b2088fdc031b4ad, 0xd970b242ade60aec, 0x27937b85df7ae47d,
0x4b6bc7390dd61eea, 0xf50abb734c7e120e, 0x62bb9d4e2efd2b17, 0x8b0d31da97003fb9,
0xcebfa2bd08acb9c2, 0xa384915e1df256be, 0x0ec9923e8f5ea745, 0x88db66154bdc7917,
0xb0e856350c814d61, 0x0c1b08a79b522253, 0x037dc23e7dfdea72, 0xb3164158bb21f80d,
0x0d2d68cba4327b17, 0x742339e8ff2afb3a, 0x6fd375e66e7ba375, 0xe51519a74635669e,
0x10cb4d17902183ec, 0xbc778da751d2ca1e, 0x0184561788aa47e4, 0x0fffd9ce36b9f404,
0xa8271a86165723ac, 0x7d58fbf0be388247, 0x26cff02050246451, 0xe2af042d5ac04a20,
0x54702026939b8f57, 0x77762534a707f66a, 0x926ff890faa6c516, 0xbdfa778f70aa6f24,
0xe2fe916086a67b33, 0x3e853cd57987fb5c, 0xe20952cd639ed00a, 0x089fbbad7a113eee,
0xa40a6144b74c535f, 0x6d1b2ff4a72f2edb, 0x63c4273bbbe83cae, 0x522fae25174940ad,
0xa558168481abde13, 0xf3e923fdf1b1ca34, 0x99705c81b4b80f03, 0x3ac195454c5828a2,
0xe95a16217036bc11, 0x5134c11249d2c523, 0xf85a2bb87a0ce21f, 0xcca1e989a4c02765,
0x86c84b987f500f35, 0xc9feffe228f31bb2, 0x77fb1f0b04eb2412, 0x0af90b7cabc65ee4,
0xd8838f199adb99b3, 0xdcb238c85754b528, 0xd6d940edf6b0c1d3, 0xf656c851eb975350,
0x3934fb243828a416, 0xa0d3d390ef837e39, 0x55581690e72c86f5, 0x05d914bd4d69ac37,
0x53bdfaa2b9a62dc3, 0xe851027c34c08a98, 0x8d4229ff81662c6c, 0x54102d1cf4d40ed7,
0xf17cd34ac6a8b9c1, 0x0876b3c5cdeb7810, 0x9d9bb512170fc7bd, 0xbb31b0417798a847,
0xd053d6934cc7e2dd, 0xe02cd0b547f57066, 0xda387485f755e14d, 0xd2bde4818b881fdd,
0x671affc79b6d0250, 0x8b3cb113006f3855, 0xb341c55a23424b0d, 0xbae2022f91afb021,
0xff91b3fa9fabe199, 0x4e7c062f25283a4f, 0xe44b1538c68184be, 0x4861571f83399798,
0x319ee1f3ab051cfa, 0xa0f6111ff699a869, 0x233f85463bf1a5e6, 0x4514e911b249798c,
0x02c9fb3a13794ce3, 0x2eb4d867ea61a127, 0x938a8260beece405, 0x4415470c32a9a19a,
0x82d46f8959bbf2dc, 0x13265156a5c6101b, 0x9b779587cdeb1ad5, 0x82e740a33d712be0,
0x271a2a557506ce79, 0xa6766e26cebe6fa3, 0xeda1cd2229de2528, 0x8ed13b11362a4b0c,
0x5d78aeb1a576ba58, 0x3df1201fc36a4c4a, 0x30d4c24dd02b085d, 0xcb443eaac77ff647,
0xd6db42d013c48f1a, 0x9e91c7805e80114f, 0x92acd998e05e17cf, 0xf8dbd74f0d426206,
0xd698890aefc0d121, 0x457907dd93481c05, 0x9e1a93f457bdeb19, 0xd10c479517574c62,
0x7cc4d0d71a7c535b, 0xa5ed5a0248704d94, 0xce9b6319482a8d22, 0x4835fcdd95ef556a,
0x1d9a40999e218b59, 0x867c1c02370fe465, 0xb4e5172286fcfa53, 0xb480b78ff0453c47,
0xce1b9e334908ac46, 0xcf350dc973c5a833, 0x160da9bc5c80aaf4, 0x74caaa8fa2d99fb7,
0xba8ba8bd5a7aeeec, 0x3e596e838f918187, 0x7d7aaee18267d453, 0x02bac5efec7edc1f,
0x8b9bf297183c4b3d, 0x8f6bfc78a9f6c5c9, 0x01beaad60d780fc6, 0xa57d153b0dc6393b,
0x9dc8083875eb49a8, 0x26400eb8b7eaeaa7, 0x01f5abf61cd369c4, 0x11ea5e244dce5053,
0x26d3443f4fb33168, 0x34a16af07ecd23e1, 0x66761400ab1611f7, 0x2dc645b91bfd522a,
0x933b1308b15df495, 0x5e90df16d37d7b5c, 0xe36466ab0fc587c1, 0x03f00421184591d1,
0x4f158b2535b4748f, 0x4b9f578a8c3b78c1, 0x221e0bc705e4e1b6, 0x219cd523e09a9a8b,
0x0759052be84a1d4c, 0x3f069d517a0e1bc7, 0x2cfe71531e3c7164, 0x165683905990b275,
0x4a8884ef69f7163c, 0x158fc4744d2304ab, 0x4f756446b8bfb18b, 0x23e3ef0e2beabe6e,
0x3e5a721ee1e78572, 0x57a0292e73c84428, 0xbc1be1d5001b793b, 0x4a42ca150853cf0a,
0x094b5fad18671f8b, 0x9151e6247a85e7fd, 0x15041b5c4d970ee2, 0xd53e821cdee9659f,
0xe61a3ad2adce5555, 0x6e3113dbf809c9ed, 0x80c819cff8d67d01, 0x66f44c6001defd15,
0x5ac5a8060b13147f, 0xb58d5398b2864652, 0x8fa928b55875178b, 0xd70f80e5508e85ce,
0x61e2a0810e4964c8, 0xbb2a4e4bc898e759, 0xb84f2e399bc91a9c, 0xf69da9212176a42f,
0x800afc6aea93b421, 0x9a0cf748400666f8, 0x947748aa5dde387b, 0x55dceacbae68b51d,
0xfc4f77fd4f549dd8, 0xbb3597b6b777b331, 0xe31fa57535ba0029, 0x6857c665c89a8d06,
0xf0150f11feef9170, 0x54b42cb9f07e9276, 0x554df4b53a8cb80e, 0x5750dfc7e428f69a,
0xc297da095fb40b12, 0x15f7cba9c40dea51, 0x52daeedbf036d123, 0x7b84b56fe6097026,
0x758512826cc8170c, 0x0dfef0c2d9ac150a, 0x2ddbc1d22a157e5e, 0x7c44d77c4fbe999c,
0x203e9bd9d5c7172f, 0xa3e39aea24d10dd7, 0xaa66abd16c28ed27, 0x40c62461b35bfdec,
0x29f51d4c4771a668, 0xf8e9b464c1e88f21, 0xf20f7eb7a51894f2, 0x64a8105cc60a0270,
0xaadbc86039a9a57a, 0xaf3bac98253c1634, 0xac34a6837f41c394, 0x89368860afde70f3,
0xc680e452edd995c6, 0x14af5144e7e90a6b, 0x3faec54444bb24ee, 0x3e996fc07138593d,
0x111401694f223132, 0xc328ee018fef0d0b, 0x67a34c1e66db2838, 0x090636d317f38f7f,
0xbdd43f561114f409, 0x16992724d4e4c63c, 0x0b6d9736e40f08e2, 0xbeb2b8657da7bd2f,
0x727ddac4999e08f6, 0x0a6f63bbe834abb9, 0xd9816000f5cf3e08, 0xbccdb57930d6d43c,
0xcfcd975a99327801, 0x87c9a3f4080ffbfb, 0xd36edffaf3bb9e13, 0xf7cff74b58aea5fe,
0x6b628e2947c14fba, 0x0aec5255c50c7246, 0xc63cd582a038af10, 0x567a466f64645ec8,
0x17e59a5735c2886b, 0xe4c09a576abaa561, 0xb29c2c3628aa811b, 0x7491d8b4efe015b6,
0x87ea356bfef10bc3, 0x685fe0cef59576de, 0xa2e3a56d313a52aa, 0xf0377ca878562272,
0x36c8e2720f8ecb0e, 0x2d590839618b95c0, 0x0e737b5c1b2a5590, 0xaab90d1d39a153c4,
0xb3a009eda483f5f2, 0x8c33138f36da932a, 0xf8f9ae975dfc6c33, 0x24ee96046fcbb061,
0xf115d2e091b5a157, 0xa79621534581baab, 0xac4f1c4a7dd3cc5b, 0x5de3eba570a70f97,
0xda34ce7a78fb6c6c, 0x319dd6c86eb679d6, 0xd944e4e7f16a0980, 0x066b9bcd51b4ad58,
0x4f015dd14514d799, 0xf7ce1613739ef86c, 0x9eac9075b26ea209, 0x19525f3c11e83ea8,
0x80b9ec4d3f48ddad, 0x414834b8d74ea823, 0x4468d596ea2dc92d, 0x5e6154c3bb4ba040,
0xc6615f2b6d6cd575, 0x39b6cbd0ad1a41d9, 0xdb8b6735ed4f63a8, 0xfc74b12b37856fa2,
0x1ce7a2da5e023bd8, 0xc898964861a0bdb9, 0x1a7def3a52e5fd73, 0x71fd5a09c22b352b,
0xe29e055d7f878a31, 0x7ee4eae05a5f980c, 0xbc3e4c0cb2e3f896, 0x0e200f5126faf587,
0x443fd23624783cf3, 0x0d063daae8925bf4, 0x6d9636600f24dc79, 0xba9c51c1b2a1fd6a,
0x4eaa624b142afe91, 0xa5db5bb7d79cce4a, 0x3a0821d63c40145d, 0x5efa9404a833c594,
0xa31a689829413c2b, 0xa93210a99aec8bbc, 0xa41ac15944fd678d, 0x97ba4792f50c837b,
0x678d22b1384d62d5, 0xab11d38cdc067abd, 0xad088f07c162f370, 0x7ab8923503ace33b,
0x2a171e096a38c16d, 0xe8e4a918b15425bd, 0x023c10a5625c4c72, 0xf56fc8b9a10d2db0,
0xde556046861f9d65, 0xb0b6ed784f3f25e2, 0x6e9f9f870fc2ed01, 0x7d98a862bb85e6f0,
0xdf99dd1ff243df98, 0x5bb5494fcaa4f974, 0x06e97960aa88cb5c, 0x9605364b565f3991,
0x26db4b055418b2b7, 0x5971bb605ca05b97, 0x5efa9b46c5ec8251, 0xcc19263a40c1108c,
0xd4e051f82679c884, 0x3860e39c2e6ac099, 0x9f7777398b80fa4b, 0x6e509970a9515259,
0x8cb8f54e7c58feb9, 0x2f441c50ccd87797, 0x4bad1116649bb530, 0xb6e24c757ee4bcc8,
0x4be79a48d73da723, 0x049663f4e352740f, 0x5a5b8d8aeb2c3879, 0xa13d7469c70e1615,
0x5d6ff6c2f018648a, 0x4943109c3f64c7e9, 0xab4a80d4c3a8b0bd, 0x459c668c442712da,
0x8437b69fe40211ac, 0xda0a84df90132140, 0x9e57ed870cf80610, 0x403cf5adbbe5e824,
0xb6b574995d7fb601, 0x5178bbef3a757156, 0x148bb00a8400075a, 0x3545cf79b132b0a0,
0x64b4148cd26eb507, 0xc9fc8b60a10d777a, 0x50d80f1f766c5233, 0x8667e5cdd176df0c,
0xd30309cee4029ce8, 0x24181059a5d75cf9, 0x6576c840210ab758, 0x3224708589d629c6,
0xcab6bdb24cbea116, 0x3d677bc0729ef9d0, 0x4effc3b80a7e1770, 0x47fb10ee069ef07d,
0x7f45a58e0468db01, 0xf26a4c91b3a2011f, 0x9c6a00ecc0a7f1d6, 0xda5d4ea072670069,
0x8ded69b02d321d06, 0x088614fa8e2fcaea, 0xea6adf01b088397d, 0x50099289e503f404,
0x9cc533462cbd80d1, 0xd2fb1b6524744887, 0x80fea62ed1f5b2f0, 0x619e0ed78125c15a,
0xf55ac124084da683, 0x762b33239912a421, 0xf2ead76786439989, 0xb2c63fc0eb8b30cb,
0xd49cf9f4340b76d3, 0xe3d1be168cc36501, 0x1ddabdee490d1807, 0xd649a0f02c664423,
0x9565d202b62a2a5b, 0xde4a04c44345253f, 0xff70f3d535ad3ca9, 0x4dcfc9b6f4ddba82,
0x774208266218206c, 0xde0f1ba36a563024, 0x253acffbe28412b0, 0x06a57b105e037b5e,
0x0cabf140bdd8644d, 0xd475f9a1e64b3a92, 0x0c0acfe2331d4791, 0x52329e48414ba1c1,
0x3330392197428a21, 0x817403d59e66a296, 0x7083f346a60ff453, 0x563c187652fb58d6,
0x997c955b860a49cb, 0xa9a1941d98ea6fde, 0x22199aa5b91baf9e, 0x7ea55f084898f7e1,
0x97c8bf18c327632c, 0xbb951e749c739167, 0xf12d07eb0283c0fa, 0x9a31212bca52f1bb,
0xda40bd6437eff8d4, 0x605cd0f796beef2b, 0xbbf20eea41a8396f, 0xadac5b64e2d576e7,
0x571415862dafa633, 0x1b49edcde2a69ebb, 0xf479d41db5eec567, 0xcd62655e63e2f313,
0xc95c7c7f38807d44, 0x474ff1962b9e4d92, 0x3d38a5cc25213298, 0x86d820f9c5ccd5b2,
0x3d7fe6f707780d46, 0x7d2c7236d42eb4bd, 0xf3e65af361c855c3, 0x384b7c1909d042e5,
0x39d5bfdaf5fcfbfe, 0x0172c1b2fbde2741, 0x870c648e0646e842, 0xa700ab1c5503153c,
0xca2b419b67da219e, 0x84321b37bc28019c, 0xd59db5ef6c6e1c17, 0xc56b270761566fbf,
0xa90ae4edc70691d3, 0x8d9dfc844f229916, 0xb73c1ed7a2e78281, 0x1cccd9dae4301c2b,
0x2504359d4f43a45e, 0xfb15354948dd428c, 0xcafb1d2d26f841ca, 0x7db6ae3004e03831,
0x53db786afd441801, 0x64f3bbf8c2772923, 0x633310c3703a8bd8, 0xc03bb1b54a4d2fd9,
0xaa2fc3ccce88e7a4, 0x796500b980c2e181, 0x5d66ebe2c5894bad, 0x9fc140ffe8c020df,
0x23439d0846ba2e74, 0x429cc47a7fe95d8d, 0xbbb605e08beed417, 0x2886d5d8d097dbc2,
0xe309bf460fc67287, 0x438063b5c13405bc, 0xf188858454709159, 0x3faff66aa8c39b3a,
0x60c0dc6b6072715f, 0x683eb5c6685d6432, 0x9d5cedb2319ffdd9, 0x585460f7144f3ade,
0xd1f3b140b125a1d4, 0xeaf5984d10714b78, 0xcf33a8b448f55423, 0x2dbdbc69445010b9,
0xf0d249b5ffd3cd80, 0x7f21ae4611c4fbdd, 0xd91f1b15d21fb0d3, 0x1a2edbb9e26b41c4,
0x6a4098c7009ee660, 0xe18ebda4967b923d, 0xe9de10473a3b4d0e, 0x8037c0346e3f265a,
0x037f8025bed4239d, 0x4373d6150a43388b, 0xdbfcb1d5c757babc, 0x3f1e27fea50a587d,
0x90d02e1ca2086498, 0x9b65af99df610917, 0x9f441e6d3bcd7cd2, 0x9016a22081462046,
0xff1bf7cf7f86142a, 0x04a9f693a634ea4c, 0xa84dfbe7d777831f, 0x3a4d218995e1bb77,
0xf2db40ace1aa604f, 0x42d934de2e01dead, 0x0c30543725afbc82, 0x7efd1e3f2c9c4d72,
0xffc0f1cab1dfad3a, 0x8f6d224f1c97f995, 0xff659d3c41135121, 0x83767ab5d2b8a44b,
0x034580d612ab51db, 0xd9b15e604f94c335, 0x583447d1c315d377, 0xce16b25d25d64750,
0x4b3e599a181db28c, 0xad3bcc61707a1e54, 0x2304aff5e0e1312c, 0x2775dca215bd4649,
0xa1df72a526105430, 0x8d8c3abac369df24, 0xe0307819b752455d, 0xd66dcaf92ed7e80a,
0x40957e2b9d8ab1eb, 0xc3ee067d572c1eb8, 0x98949be7038f4312, 0x1e44dac9cefc0a3e,
0x6790661b469d1e2b, 0xbfeedea8cc2c4156, 0xb1e37698943c97d6, 0x7a9904c8ba563d5d,
0x4a518a7e6f8b50ca, 0xa69e67019af3149b, 0x092459dc16374acd, 0x5d3b1fff2da6bd7d,
0x74c841f4443a18db, 0x9bf8b6ee19dd1ee8, 0xa3d9ffc7a1c69b73, 0x8e7a2c7089077647,
0x85fe44aca6e3cbb3, 0x3c2296d490990de8, 0x8c4ece1c07040dab, 0x7dd19ab8a9baf65a,
0x232bb32d97595076, 0x90bf58b35d1abfc0, 0x72d0b2907af66b91, 0xc7fa661133f2a951,
0x6cf30ef3657e7042, 0x508ad0f6160b767f, 0xb19cb4d4e6abfd12, 0x07e9cdc0317565f5,
0x20d8c1c51f5ef8df, 0xb990b0a1c734ee59, 0xb14410502b26f576, 0x36bb1fd751cfed83,
0xafbee0f3cfb81fa6, 0x7f69e91a15af53ef, 0x6e78f569b4bb69df, 0x6a70b4b07d88e898,
0xe95b7e6d6b4eb64f, 0xcbed9d5d310dd85c, 0xbb6dece954c9887c, 0x6288bb12a18f10a6,
0x98f871c69dd90ab8, 0x1527fb57661aaa3d, 0x9d6b73833146c0d6, 0x0e0e0ac0e377c037,
0x23d629997ec20f4c, 0x8a742719a656c90f, 0x945cab17ddc141d9, 0xf9cbdfa93c170c50,
0x9a3403c0e0dd72be, 0x06564cf2e1eca6cd, 0x359d5c3d173da384, 0x7c7a06ae74ab9168,
0xdad0da229f4faaf0, 0x5f72912b71ac4412, 0x9b8426fd80942e4d, 0xbb6ae1d0a01a2f23,
0xbe24dd2c41c93254, 0x2e57c1483c75be6e, 0xd2c14fbcd6d21341, 0xc88522e46072ed0a,
0x8fdaa0991de52916, 0x3dee502b1d002399, 0x74c92cd78ec2c5c0, 0x1661eea3a1b186a5,
0xc84484d2af19befe, 0x0da060548459bf37, 0xe8b22929416bff3e, 0x0ca0e69218277d58,
0xfaddd54a08828880, 0xbef6c3256e22f537, 0x0fb0eb69ddf6373f, 0xed8f8b11f2396004,
0xaab6757a3f66b35c, 0xab8cd32a13a079de, 0x2d325da303d181f5, 0x132a806299c3b9ad,
0xb58148425cb8398c, 0x0c5801d22e0c67b8, 0xe38d49cb989c5c72, 0xdf415037e862eb11,
0x5bf664a7203872d6, 0xd72f7d5233759165, 0xb66473fdee2e03c4, 0xfe0f12ae942aa812,
0xa509d6464f5d25a2, 0x698db37327aee839, 0xc2a1a8b9c9f8e6a8, 0x0742ef7248c88e67,
0x71891bf81d53c121, 0xc9dfd8b02bd64f57, 0xdce14bdc7d523e47, 0xb0a2792344b192c6,
0x37b2a9e0a538a493, 0xeddd5c4b3a398c59, 0xdb8646267de3ba13, 0xadc62a4fd9bd339c,
0x019f20ab87726faf, 0xde4eda70acac27ea, 0xae749ab863b47d6f, 0xa89f9c12da463b46,
0x234718d959c5d6ae, 0x70d18e4968300128, 0x234e2324ba311a44, 0x160157cd6465b17e,
0xa2ed85e77d34a81d, 0xe6a1826e6df88f6f, 0x4796738cc89fe26b, 0x57193fab4d47df3d,
0xc513a1a0c019a30f, 0x9ca46e1dae1b37e2, 0xef7b12ddb8133469, 0x645467cf5ed69ac3,
0x52e651f4df02b22c, 0xaa14c0549620cb1f, 0x5746a9335322c326, 0x791225455687c137,
0xeade84f80c4d2ab8, 0x27fd8a9957d484a0, 0x6676fb2094ae84c8, 0x0267241e40e01f18,
0xcb03582d818b6b85, 0xdfc22a614ff799fe, 0x693a2e4965f135f7, 0xcc6e9ff4574b75cc,
0x2b076c3e2e0e658c, 0x085b2b881a7bbd1f, 0x30e0a767ceeb5103, 0x3b3aa94c87699d5b,
0x30a233ce24e700b0, 0x0e4aa886a3fd6a3f, 0xd1d49fcd5a47fafc, 0xf90b19cd50bb9d0e,
0xdafb3f2fc61ef2fb, 0xc0929c6d15a1e08a, 0x94ad75c2083ceb6f, 0x1dae43bfd7f2fa0c,
0x740f3b6b9b5b0fbe, 0x2b40125473d372c1, 0xb5805dd230472b06, 0xd99dc4543a1d1e5c,
0x099c140c76414939, 0x9dcb1f41209b25be, 0x0dcc487ef6842dba, 0x7def1d2646c52fd9,
0x4bf44b76e1bebff8, 0x4326327426494093, 0x9e82e53ccbd50c13, 0x27903b5100c99a18,
0xcd872a62857615ae, 0xac02f6e09c382b4f, 0x1734f4c56d1d02cb, 0x12753fc13e7f4dc3,
0x1125ade5cd3a24f4, 0x261e2a08ba325e04, 0x337ef78a1f2c3fd1, 0x734cec0f1e32e47f,
0x22fd3f5fcb925a5a, 0xadcb9ed05cc7c52a, 0xb30a65a8b625afb0, 0xf6e4daca5c105d88,
0xc6d4a4ef1609da5b, 0xa4b06b8b2f7fb711, 0x294ef523beb48c65, 0x9ec40e3b213425e7,
0x5bf5777933a74d0d, 0xdd19749213d2df32, 0xbe3190f2e3dfdc8b, 0xbe5d440a790d549e,
0xe400eeb0a514f118, 0x5741a6879bbc382a, 0x131b6d4fcff0efb3, 0xbcdda0efe16a2af8,
0xdb730b01d3d84057, 0x92f8aef243bdd67e, 0x129fc4e2f8c0a46b, 0xcd627daf16e57d8d,
0x95ae1e3b0a2b0988, 0x4df621ca8e26543b, 0x98b819943a038ec3, 0x8da8c26bcb8c607c,
0x81f5b5fb1767a8af, 0x18cf7652ad0f427e, 0x0824cdaf3721a7c9, 0xfadfa49c9bcb2da1,
0xe88da2ecce4e5b68, 0x344a37ca56402fbf, 0xae28ef992e7dda27, 0xe0e43c2c0a68acf7,
0x77e3c0f16ead0f68, 0xfe46928a1ca6c4e6, 0x0967c29c03112f00, 0xfaad9c730965f95c,
0xc4b6cfd8fde6779e, 0x13fe3796b6239956, 0xd8db75bf1dd50b66, 0x187f277a478e21c9,
0xed51a5cae48a9d28, 0x6a023b8a6945c553, 0xc2ac098cd96d2239, 0xf0c1074c1583d547,
0xabcfdfc3004a31d9, 0x7ab0a047d0f94263, 0x4cce30e83f8b7c8f, 0x663a1c6b4fb6d597,
0x4592fd187f3c843c, 0x9d12bc038458b1c0, 0x5d7cc4f792abb369, 0x9fecf17e30b05014,
0x73a2505aef71ba88, 0xb4166e80b87c4009, 0x238d324793ade58a, 0xab5fc59a86fad05c,
0x66ec07f0a90d1137, 0x27760f95cbe33b8e, 0xaa3c8d12191363aa, 0xede2f52644c3b422,
0xfcb0f99471ab3aea, 0x2c80b728669279da, 0x39c5b67ab2a3b4ae, 0xb8ee4498a14f6839,
0x08fa66794a3823ac, 0xc2202052921c0c43, 0x378813abbd8058ef, 0xe0c6563f2978bdb1,
0x91344f646817d7d8, 0x88ab2bccc0841f4b, 0x8634d29394de4e7b, 0xd8a77161e46775d6,
0x4499f660472c4f23, 0x7b24628eac38944f, 0x96383e965bbc9837, 0x780557b07684d9b8,
0x03afd86f271a0a74, 0x908e396ef9238bad, 0xb92fd06cc0dd940c, 0xbb045293dcf6f988,
0xab2cdf4583625b3f, 0xe886fd7283f9221d, 0xc4a05a54478e5a42, 0xe51cab325f7bfa13,
0xf5f723630efbf9ca, 0x099911f715c4793c, 0x27cba6cdec27fb69, 0xbca037b732de76ea,
0xe236408b59c78a5e, 0x8f9c80b56db4b012, 0x02d77c317fca6c7e, 0x42fca95370eb02db,
0x239f22536c9ada6d, 0x88f70dfdef1b8f23, 0x191351f07a6816df, 0x30d67ff2d00a7c57,
0x2a7d09d70585c799, 0x27b765045cdeb865, 0xeeb532c45821e531, 0x2f015a53c55cb2ef,
0xfebc565b08ecde04, 0x0fc630fab8c46d47, 0x5e7458e16fc98219, 0x5e560e3a3a93d199,
0x1e966122c84a888d, 0x4e45af24e0b3aa76, 0x3126f4d3acaf8528, 0x41c02305501b89f2,
0x1775a35e56225425, 0x345bd20bfeeac8e8, 0xc4fd2670a58c14b9, 0x6e0cdba5f4901b88,
0x87e905b79969eb56, 0x6d47b1da0987c341, 0xd5ac0085d9a525db, 0x42055449dc20810a,
0xd379eb4956df3aae, 0x57fe735cd956e681, 0xb242177cb4c7d44b, 0x02157e10a51ba192,
0x2b23472c86f3d42c, 0xdfb752c6e70df66b, 0x440c53749c109ffd, 0x51eb1d3e92ffba77,
0x7abf2311203c8c7f, 0xf5c9a9906d15869a, 0x328d57d8b3ac203e, 0xc23d4e465c428841,
0xbb95c5c513f489a5, 0x202167758c1c462c, 0x3641162761b0d42e, 0x8241254f3cd29915,
0xd19d8567565d6d9b, 0xf121589ddf4b88cb, 0x296e3e46efb12b76, 0x3ab5000a0ea7130e,
0xd6fd4d1ac31dba80, 0x6a410fdda6e0ce74, 0x658d14f4778cbc1f, 0x5dadb0a8c201adcd,
0x8d32f17901a55767, 0xbb4b5bce928fd087, 0x7b616feeb27dc0ce, 0x1e49a26d572341e5,
0xbb0a1d434cdc2c5f, 0x97724782aa0eca61, 0x7f70f10c098eb7d5, 0x17019b0ba4fbcd0a,
0x4aa0f6b75317ba5e, 0x96c0c0f39e677232, 0xf2b123c940d1052c, 0x2220d9938ddb26ba,
0x2eef5baba6b8e709, 0x5e857aedda5e98f1, 0xade8b89d75933075, 0x09e1e8fe080477b4,
0xefd86b2920c320b1, 0xfc424961a7471965, 0xf2c44396b38f9c50, 0x7223d57d683e9333,
0xc700e0da3238116f, 0x1dea33243fe13842, 0xd323bc16706a43a2, 0xd5db95d2d807f849,
0x3d1ec16c575f85b2, 0x8c71719ddb7efd7a, 0x58e3f5a328033faa, 0xbac2081f989aae78,
0x3ade383fb5d34aac, 0x5385831483718ae1, 0xc79389ec2f676712, 0xe627a205855e5dea,
0x26a76d76ed73255f, 0x3cfcbe8a36e30824, 0x394916cf9f31c655, 0x1ca701b78097ba76,
0xf334182a175bbf9b, 0x571a6e2f0bda762f, 0xe0101eacf9bbfb5f, 0xc60af282384b5eea,
0x87b0affb2a2c929d, 0x2f340c404bb2d36f, 0x9e40556fa8dac4b6, 0xdbf1a2674d3671c8,
0xdfe064f4859e9226, 0xb66ea881ac47e5a6, 0x62e536de8272168c, 0x1a92de4a36277a7e,
0xc717d118b4d078be, 0x5014c077b69cc9ac, 0x15b105d9921ba0ab, 0xdef33690123b4d4a,
0x8cf3d8d71634870f, 0x6842a9f72188de60, 0xa3e718f7bc7a263a, 0x4b49711f6646e065,
0x5b391ae995e14dda, 0x6c42da131020c85e, 0x885845dbaf9bfee6, 0xbf29c0990d319625,
0x727194da1427313e, 0x4e6c0ddb63378dbf, 0xb818c3b35f5f09aa, 0x5c17db76c9f32a7e,
0x2b5ecbe9c52798e1, 0x06967fa08ce3073e, 0xa21379807b751fee, 0x367435c845530e3b,
0xa2e464f7e5c7ff3a, 0x5234f5d5d7180b4d, 0x2cbcdd8acfd9313f, 0xda5fc23c4d95902b,
0xefe8da391c05112b, 0xdd269a45cd470d6b, 0xeb0c9bd848761aba, 0xa1405ad04a697470,
0x636979500c7c29a5, 0x7bd3b449007fbebc, 0x7aea4c9ee3ce6489, 0x2b957cd3788659c7,
0x3cef4ddeb7171144, 0xecfbcaa20bd096a1, 0x8229c85b09c647cf, 0x884c0ccc943ef066,
0x1093a6b760a2f03e, 0x8721728d4594c03b, 0x1bd6fb8524a81344, 0x0818df4c5fd9dc1b,
0x01a43170f8cdac92, 0x9ae2a7e7bd7cbfba, 0xe2bb654c0f72abe8, 0x79314e00b59e14a9,
0xa59a03a0d4c7e5b2, 0xd6edb8057b5f6d24, 0x4dc193a9d7be0475, 0x06effa5a4c80cb10,
0xd8143f9af1c79f8a, 0x04b7b53a57fbd112, 0x00feb3f77a841900, 0x69df01dde1a6ebd0,
0xbd11031bd989f0e4, 0xa169069023a4255b, 0xa5e4e1f64f9c4624, 0xa689af56071f9a44,
0xb55084c28d7b3c89, 0xc34f82b2c720b248, 0xa8cf3432667f3f66, 0x95635f37ae3ab119,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x608a9a79434d1e8c, 0x2c593d2432d34f10, 0xbf48338b0a121bbf, 0xbdb80209762066bb,
0xda7250f8a3b78fc4, 0xd9bc25a6960b343f, 0x7990e3b9aa443c61, 0x78bda5af8714d018,
0x42ed9aed861543b3, 0xa6dac9052bcd9fee, 0x9bb46dc7849882b8, 0x802725f4f3ed580b,
0xb0315cba690f2eeb, 0x7f4cf904fc0f2e5e, 0xda1e50b7d2bf3bb2, 0xf334dddffeb4112c,
0xc50e5a02e56e0960, 0x396d29a7bb6ae889, 0xfe4956912f0dcbd1, 0x9eb6bf6c22dd781b,
0x31a6c534f7b0c9de, 0xfcaad155fc1fed8d, 0x27b7fd72331d5b94, 0x050af92fa9cad789,
0xec71d451b13c9708, 0x78743df2a256b478, 0x8815a3ad839d37fa, 0xd7b698839ea28594,
0xbca812700133fe46, 0xf19c4a7077c1dc63, 0x1f94635e6cf1bb69, 0x0941fabca137624b,
0xd3a79ea98f03c84f, 0xde6d7f5e7ca1df15, 0x02340b4849296a77, 0x139ae3f68f1a30c5,
0xe963af4494d03602, 0xf1a4f89b7741372f, 0xb5aea277697d4eb7, 0xcecb1902dc515c1c,
0x0d7a333ad43cbc07, 0x62db1ee2c5baf4f2, 0x6398d7179c719e66, 0x319999822c32948e,
0x5e0872e6e16001ec, 0x8f72d00606aeb35f, 0x74773ef9c19e9966, 0x155391f8465506f6,
0x6a175ec3429b728f, 0xe48ba68b212a5132, 0x815a5c6a22bf9a02, 0x80682039591c8952,
0xf55dd43e9187e292, 0xacb66bff14a03d9e, 0x4098424d81ed75bd, 0x11ce2c210b2531f5,
0x8f32a33b1ca05c53, 0x96c9670b5d0c668a, 0x258ede25feb6dc13, 0xa11c3324ff6c8404,
0x7de5b199ab720f1f, 0x61196eae48c3086c, 0x18d3c132192b3be3, 0x13cca2bdbebc956e,
0xad87993e3b85f761, 0x0815ecbee0d1c607, 0x09d262627efc0fae, 0x89014eaa36346b81,
0x2efce345bce1c558, 0x0fb8c0c7756bee2c, 0xd2bf0a72cef372eb, 0xdc2ad1bd285967d8,
0x0805988c101b0880, 0xf928c2d3b1296a21, 0x619642865fb1dfec, 0xa3d2a2ad25746021,
0x0fa48081cce10077, 0xc6470087a128e9a7, 0xfb66e18200b5e018, 0x129c58d559f07a83,
0x107b747df0fb1826, 0x681bd67ce21e14b3, 0x632f75616a37e290, 0x1a58659b0a478422,
0xb3d1c8ea386dbaa3, 0x5424a90a3aa7d2ac, 0xefd15d01c30be310, 0x9a383204cb1a6233,
0x83b000c9a9b595aa, 0xaeb6fe33ad51ca66, 0x6ad5bf1cd1eb028d, 0x5cc2a834a62e0568,
0xf746fec622b90e3f, 0x29601624f5127ecb, 0xa1e70a78dfe92355, 0x2194998184ce234e,
0x14e4404bc5efcd7b, 0x7ea02ab05aaedf2a, 0x425028517f46f92d, 0x01104cc534b76bd8,
0x4f338ce48d793928, 0x293a0fd99bf1d97e, 0xb1ea1e69b178ce9a, 0xa4187b69fd274261,
0x992b51c1d6f3be34, 0x9dc3655a10c468b7, 0xdbd6911903afd7c5, 0xe100670c46823e24,
0x945942efa102aeb3, 0x57060b5b80a4fdfb, 0xff442806e7f43b6d, 0x1ee46a9ce512bec9,
0xddc73216e54b0d05, 0xcc5809c94705ac37, 0x1140395f15871dac, 0x7c74fb167baa67d4,
0x80309a17ca46821c, 0x753b22adeda2b8be, 0x55bc184648bf4f30, 0x7c64a2315180c771,
0x62c8a9e4b2f1e313, 0xade18678d283fe2e, 0xdd2087206af3f73e, 0xead4fb5d2ac47ec1,
0x18da9ec6388a15a7, 0x703b3f01f009c658, 0x9a89c825254ad7ee, 0xa35756332515aac0,
0x5f7edb2f08f28518, 0x63ec6907bf887946, 0x59b0c9534cd1e6b5, 0xc4c23a8dc34f0b0c,
0xfffc02afc5ae743f, 0x39655ef696be9f42, 0xb48afe1a91738d9c, 0x37d839098b71a0b5,
0x6e95a63ae594f1e1, 0x424f13ca3592efc7, 0xcabaf8b84e6852c2, 0x5cfb09a4b596cd35,
0x1b9c0efa08e7b3f7, 0x15c2f594554d0d55, 0x2b728dde0084a829, 0x4894e21d9e3145f2,
0x88a25719270a56c7, 0xd830e9cc31ed6946, 0x9b9e60eff3fa1bbf, 0x7d12f1ff15d85622,
0xca9e8e6407b602b3, 0x48c36da2fd34b907, 0xc7d638605b149cc9, 0xf419ac68a5d61702,
0xc5fc7eb87c14ac45, 0xc43c592c501f6b10, 0xadabd24ceb218a98, 0xb3560794f78ad22e,
0xfb111c7618deb415, 0xf00538d84873dc43, 0xd2de375aaf765963, 0xe6e28b7530f0e822,
0x7f8499b5d2ea33f9, 0x4c74268a37c3081b, 0x12ada4f51e0a7cd6, 0x0c6f700778729f48,
0x175c5d0981ddc678, 0xa1f38cb975798213, 0x4b19c49252c673ce, 0xf96e2d3bb5d0d64c,
0x97801059fea55530, 0x40e2524699294634, 0x13cd9c5e049ac8ac, 0x942e2d839d75b9a3,
0x51ce2f7d85fdc9ac, 0xfe7db2ccf18ee4f1, 0x213c7bac8526962d, 0x457459efe7b25af0,
0x6679522d2e046f47, 0xda8558e59c459d2f, 0xaef9af97454433d2, 0x2b2b496a939800ca,
0x95c722d00675a47a, 0x72c60bf6acfa2a10, 0x9065c75f8ea2659b, 0xf52304d93a3d8f53,
0x9cc0e7e93bdd7c04, 0x2d4e27995eb0e80c, 0x9f70048eeebafbb5, 0x350fe852c2576b67,
0xa58ddba50e923823, 0x90af9f956c024a17, 0xa73753eb9d548b65, 0x9b4f9a04e4844852,
0x590e76585e01934e, 0x82afdfb5e36e426d, 0xd96be5219832f8ad, 0xf6ca328666663292,
0x89b7c3b7f21bcb85, 0x24ba771d4ede3c6e, 0x86166a40aeed789e, 0x30d5570048c48b51,
0x4c2aa77b5f774278, 0xecc84d80e7232c84, 0x235e9e55a8a79993, 0x996fc08d120187f3,
0xce3e6dab771fbff6, 0x564cf64d225cc775, 0x082481b092face1d, 0x5c5d45972357b379,
0xa90a04e1e0a6ef41, 0xd9a8ee400554e0e9, 0x5f66669b58579a2b, 0xf944e536f190e7ea,
0x51523bdb9c5c96aa, 0x87a6e60cd7c6f194, 0xa33ecf59bb70592d, 0x06cebaa5178782bd,
0x3f0cdcd108bd2c5b, 0x8268cc378d7609bb, 0x1aeaf0d3be06b98f, 0xdbcd50282707585a,
0x3018c1f91d5441f0, 0xd080373678061b5d, 0xd96ea551138b21ad, 0xb45864cc46c9354c,
0x2a11aedc93ca313a, 0x23b82fbc79237e14, 0xea8d120e22cf578c, 0xe62828d0f0377574,
0xc650b2e087eea48a, 0x8b7c78d94e50a0da, 0x8c730263289ae67f, 0xa068cfefc52a9cd7,
0xc8c407e04c8e31fd, 0xc1ba041ec488ff38, 0xdcd35790882f7f61, 0xa832eb985fe10d1f,
0xcf13cff698fba59a, 0x0ac55194a57f8d9b, 0x6785563015bfb864, 0xae279e9f50ca2ee4,
0xa1602398431a5654, 0xb958a106ea73ca4b, 0x720dc5b4829e9c52, 0xf1d5c74b398003b5,
0xcdd3501ca2fc0848, 0xe8d7f062cc7baea6, 0xa4d33aeed07af0b9, 0xe2ba25df8c218fc2,
0x40d2c08bff99c73e, 0x28f7c0d8fc6de66e, 0x8a670299e6b3a53c, 0xe5b872339b4aff82,
0x1f71ef51abe8e79d, 0xbda4a46a4b56f5cc, 0xaad69d5b5325e79b, 0xb713cc4a90c68b79,
0xe9c9386f79a6e833, 0x3ac59f2f3aa5fb69, 0x08d14735898a046f, 0xb59b6cd64b379266,
0x2ccd376e33a3de1d, 0x1ad8509c4375fb04, 0x340fd8dda599ea43, 0xbef38a16f2effb65,
0xe1e913c9bca57815, 0x705f5866e9813cb3, 0x0a6245b603a2dbe0, 0x8873f33ebc50b0e1,
0xb85b10860af17b26, 0x0b0c4f3f26a09cc8, 0xa0f03154e647ef18, 0xf39fd72c3fdddd61,
0x3ab04214f424840a, 0x02d738b97b432318, 0x1556ebf60fc1ad21, 0x4cb3d337e03155bb,
0x39123b700d0bd59d, 0x601de96212c52eaf, 0x978de0bd51fcef40, 0xcbb2053519bb94bf,
0x2d738ae9a8b93fba, 0xd64b7f24cba1e9de, 0x852dd487981891fd, 0x31e6b72e95941d87,
0x85e63bd52b4caa34, 0xa7579e056353a4d0, 0x3dc3cd685e3a9417, 0x5c8fa490c04ef7b8,
0x6cc6a846e3848110, 0x21e7ac9833e88188, 0x0cdd9d007147f3e0, 0x53cc2db7febf8843,
0x0e2c13473995cd7f, 0x9c21b66317e1b034, 0x7fbb018a2ad96710, 0xc01126650331d17b,
0x982c1988f436f67a, 0xb6d8c62e6fb6e884, 0xad15ce3734c73da1, 0x8b12c7fd557ddaa1,
0x0260352e9a3e574b, 0x1d419ce76a2c9888, 0xf4f29cb804f96dbb, 0x0a18c43fd40e293c,
0xc9d79c8b22377534, 0x34b6e729afeab15f, 0xb48676f39e2e57f9, 0x50ba0b8d9d312f9b,
0x21df423437b3f70b, 0xff7a2cb3362b9104, 0x8df3297c49f4a49f, 0x4af26bcfece1fd36,
0x8d5c33f5b6dfa570, 0x842c1753cc4b6cf8, 0xd56c19ea9ebb8d8e, 0x7a2f2bcf989e2c67,
0xae0898b24b2de252, 0x5e4d82804feb159a, 0xd1645ba07bb76b31, 0x5cc6e425d166f721,
0x3fe787236fafc16b, 0xe33eec70e262df3d, 0x8a7e0cb5db9a4e40, 0x0d83be7869143f79,
0x16882626c377005e, 0x592ca0753e8ce4ae, 0xf79301ab468c62bf, 0xd5d393476472fc97,
0xcb27d16af5a79249, 0x518c43db4972589e, 0xba0e01f1aaf10c52, 0x3be086b45378bdc6,
0x446515092324314c, 0x1efc5dd78c46f5da, 0x1086a856f5f5ffca, 0x7802b5c71cc8bb97,
0xbc181955ceb20c41, 0xa21a8cbf8d54c4a1, 0x46481c8682c0ab42, 0x7810f0262e766ffe,
0x92e556967c6e2b87, 0xf14ee6d008625bfb, 0x3daeba4b9910d738, 0x5ad74b806914e958,
0x71544e4e46b1d49a, 0xaf989938ad4a6953, 0x0f415e1c1023466f, 0x92a7f1f706c0081e,
0x6bf441519dfca363, 0xc3bb09e8bb163112, 0xb1641475736d3306, 0xead5436f5bc6fa71,
0xf4e6637cdd7f6237, 0x9a81da094c801452, 0x9935d3133070a151, 0x761653a527ba138d,
0xc847c40bd343b75d, 0xc9fc46ed8b339d23, 0x77ba68b8640bd91e, 0xaeb5531dd794525f,
0x5e6c240bfae79050, 0x93ef52936d8e8ecf, 0xc1dc8c960104544a, 0x1315846c38a28f28,
0xe58b3b8e234218e6, 0xce8a06ea6f869b34, 0x89e015f4a4563bb5, 0x60b59181364aa5d8,
0x436c7944e2feb2a8, 0x3975cdd411bbac23, 0xa0d8b13657801f56, 0x4e98f2ab64664c21,
0x2ad76a8737f35649, 0x07e4db37d8f9e0d5, 0x9ceb7809ce56703e, 0x567d4c77f65ba72c,
0x60c034e43db318ab, 0x871ff6da37c8580e, 0x889478b1a0c71e17, 0x1f343de1e7771c9c,
0xeb13fe79fc6f8d6e, 0x6020b607e8f79343, 0xb84d26392404701a, 0xd2912f982f434f97,
0xb73b06b011521287, 0x196cb4e081acde62, 0xa14f961f50cac97b, 0x2c2b8754b0808d9c,
0xf9270ca3ba953bc3, 0xba6f50199c66f325, 0xf1a3a43ecbd5effd, 0x74be4e553a2cac55,
0xd674c5334fb996b4, 0x7a7a51f9c2e07ea6, 0x66ee9db53ea67989, 0xe9d9e4d14f5093d7,
0x18bf3dcf04d532a9, 0x4042826ad81fd635, 0x71d80c0e3790aba7, 0x9b2b525966c111f9,
0x48f7d235b9a3c019, 0xb9d5de2a0de02732, 0xaf6c4de305006e7b, 0x462d8f0b92781def,
0x462f5f0de669cb28, 0x8551995bb51347fb, 0x392faf06076bbbbb, 0x29ef642daf46a0f2,
0x93e0b5051f0a361c, 0x3c642d3f3490c255, 0x479fbab342afbc08, 0xb3bd260f4e7647ca,
0xf15bf68f9e9827ad, 0xda082eb7467edb82, 0xc7297517a4f92466, 0x019858adf6665064,
0x25c3f6521f2d1953, 0xaf10275760a4a2a4, 0x2ab0a568447fc826, 0xaa028eeb8919d089,
0xedb97f4d0326c3f1, 0x7ae990159b86f368, 0xc185d9a903c2fc3b, 0x2d5029a68a567805,
0x2cc476b8cbfad6b6, 0x8624394338dec52e, 0x88ac69953a09849c, 0xe97dc171637c5546,
0xf99a4086fef67bc3, 0x3a350abeb59bc215, 0xff18ea4ae3663f69, 0xfa75f329654fe2ac,
0x76c1a4eadd7ae9d4, 0xbdd64d8f3b5aa482, 0x129868d91212af2d, 0x012e387d6a168c1a,
0x830fdb67468b411f, 0xb91454392a78666e, 0x87795fb959660ede, 0x24bca94f7b7992e8,
0x80c3f471d6834896, 0xed42811a08dbd3dd, 0x44891be918e30aae, 0x50cb8027f01702f5,
0x3f7fef1db984a52f, 0x9a90140dea0c0c62, 0x1cc59d2dfe140abd, 0xfeae9cc1710d25ff,
0x98d7359596662e2b, 0xa9feb58ab1fb8acf, 0xc611ed41c45af4c4, 0xdf8a84b7ee8b0bb9,
0xa5c231b08b347096, 0xe09d05b7872ed7fb, 0x4dc074ed7c595aa5, 0x6a9fa1a8a0ea72da,
0xca2988916e23112d, 0x81ec0732a4fa7f94, 0xa33b11bce96c81cd, 0xe2745c04857e8f2f,
0xf600a8b2ac798498, 0x778d7e145974c51e, 0x609bb5da371925f5, 0xc5452b018ec72ae7,
0x2b62af148890eb11, 0x2a26b96929d2dc4e, 0x3bbb95336b3ab317, 0x7636bdbf8e5ba028,
0x6edce23e6a994192, 0xb4a9ad5d60882065, 0xbbe1e21cd6b214c6, 0x9853b71039c77d22,
0xa270f29f0fa8bdd3, 0x208b04ceff205558, 0xeb969b6d6747c7f4, 0x2239e9c30648be2a,
0xd3e0bea65f00463d, 0x16ccfa5017574073, 0x58c98bc20b9f3bc8, 0xdf9e9bcbce9ead05,
0x013000d67c66dd8c, 0xa59c04ed3366d772, 0xcf81fa1968d6cfb4, 0xf2099e95756ef332,
0xfd291ec48a6171e8, 0x5349d8dbc2c4bfc8, 0x5d211fa98c96cf96, 0xefe798f524138ba0,
0xca540fce28a63ba3, 0x40f8bf14964c6294, 0xa8af392b73954beb, 0x3fe7099b06334f6e,
0x804511335a403430, 0xc73ef3705ad6872a, 0x9e71b7137325c13f, 0x5019e321dcb51420,
0xb432fa57d756cd3d, 0x2b113a42a29c1124, 0xeaa2252b3d6a9f62, 0x75cbdd29e115fb0b,
0x30a8c6a7c4e7f158, 0xc7d331ddb4f4d608, 0x233cd0224c5de545, 0x47b919f94fcb13fb,
0xb455b45dff711a97, 0xc6cdee12f4a73224, 0xc5ac0179d6a5743f, 0x204643bbae0b27d5,
0xcbe67edc6f15f8ad, 0xf777a811a9d93e24, 0xa6b4c2867d4fde9e, 0x50023795ad369e5f,
0xd9be587fe5f375ac, 0x9e7622651cd1bbe4, 0x951fabd73a500e61, 0x6bcde4c8e2be3531,
0xe2945dd6e99ef02e, 0x5ba4d61cc73dd774, 0xf137e8ae95b949fb, 0xb38ad2611487f485,
0xcb052b70995c195b, 0x450f770bb9869a37, 0xe08f01089abe7af2, 0xfd0042781137a61e,
0x12ace0d979cef5cf, 0x7428ce6f9d38f11e, 0xfd8725deb3134c6e, 0x3ec0da6ac78e277f,
0x4e3315ccf1a07759, 0xe41d4581793218e3, 0xf275c01d6d660d21, 0x682563f05091551c,
0x39f82dd7fbdd9e6d, 0x9457bf9198f782cc, 0x8eee65e567a82c66, 0x413a5d226c6fe4eb,
0xcab2388de3afae0c, 0xdc5c0218f33f7c7a, 0xc35ac1651408378e, 0xfccc79e4653f0ba1,
0x74b8d979e8808003, 0x1774591b6b85ca99, 0xba01ef1c2200475f, 0x9ccf66e4f718dfe9,
0x2400924abf23a9b8, 0x87a66ac38eef1ffa, 0xe6c3bd007b64035b, 0x4af7e8b4909c4015,
0xdbbff4e9fe8b29f6, 0xe5e8d1d5fdddc4ee, 0x2a0f9a4f1f38f47e, 0x68f19b5f466dbc8a,
0x3966fc2f49af067c, 0xf33a5ab59b9b162a, 0x6ecbd6eb857080b3, 0xccd2e92338f8e731,
0xe9906cfed6fcd007, 0x870ca3dd4056404d, 0xb662691afb3c2be8, 0x89c33e1c166e5951,
0x4625749d10cac785, 0xf8944fbf61e59285, 0xd9a7c321b62884be, 0x16bbf8da1ab78fec,
0x67144c63179830d0, 0xd9aa6781cd3cfe01, 0xbc01f7feb103730a, 0xd11433638ec32752,
0x938e628dfc459b49, 0x38249a316f5eaae5, 0x1072a30608eb6270, 0xe4235d57a326a411,
0x00780f87b08af768, 0xf78fc275ff534351, 0xa3ad1f43cf5fbf0d, 0x03a0cbefe0002e61,
0xfb68776b1b48a894, 0x4aa5c16969deebfa, 0x5c1872eaa846b645, 0x44aac0e88980652f,
0x3fef962fbe4c12e7, 0xfb468b875ba88bc3, 0x3d83a4ce4655eab5, 0x8b965a68a963159a,
0xebb0bfcef035a2ad, 0x217f004472e36321, 0x1d07cca6cde5c9f7, 0x7bb7cae9eb566113,
0xea0869b2472308be, 0x0a3eebe96bfee9fd, 0x2f105f54e8c93133, 0xe4e40f0b5b476708,
0xb803689d3871504b, 0x3863f72b37302cfb, 0x7f1b85502f27d4b7, 0x1a0cf302379bebec,
0xabe7211b23ec7f7a, 0xc01bf7e1278265f7, 0xa09bf2071e30a5e4, 0x9dff886c1c0c3633,
0xab8896cdda4e06df, 0x0eef4eb73b1196f7, 0xf297a71ab86f0836, 0xc0f3e3094da0594c,
0x9ef19f94a25a169b, 0x5aa90c72990d6ded, 0xf6ce9542bbdfa107, 0xb1db4902a1f74dc5,
0xcbebf81a2d72f217, 0xbc253cfb83aadcf1, 0x64a859a56ce69cea, 0x282020b595b67d95,
0x0e31602364f0a5e0, 0x5f58dd640c86894e, 0x06c74dded9fbe184, 0xa1c2ebc141dc6d25,
0xe2f85b316ee29287, 0xab81a1818c10c578, 0xa3e54718b9eaf9bd, 0x5c497210acb3d1ae,
0x3a20377aff1cc1e8, 0x51824544f9965ff5, 0x9858ed5bd9b04e31, 0xf108da5837e085c3,
0x1ccb1839cc9346c2, 0xcfecb428bb384437, 0x87e5c9075c968464, 0x150397c168f47270,
0xa17dc0382e417be6, 0xd7c8abbc59383711, 0xfc3b1e35f8819750, 0x09bac79c89a067e7,
0xb73c170284d50b2a, 0xbee697a9eb976a5e, 0xd12319ec233626ca, 0x717ad4c33a129008,
0x6a3521f2039b54f1, 0x8e086bc86dc8f1dd, 0x0c189baea4261f64, 0xc1e43cda92632e1e,
0xddad9e0604196dd3, 0xa2a96c6a200c1263, 0x5c855aa2b489b239, 0xb0cbf1c664da5f4c,
0xf93ffc5e110dae48, 0xac89842612e0bc06, 0x50903c4b612ccdbf, 0x5b1d64322a7ebf82,
0x47cafa814b146597, 0x9c95eb3c56e09d24, 0xebcff8184b9494e0, 0x7758adf4357f51e5,
0x9c00f511e5623e29, 0xf216ec2b606c713f, 0xa80bf74de3560d9e, 0x3b5481dccd13442e,
0x915755287cfae4ff, 0x2170acca33fbcc9d, 0x9c67b4c53ec86779, 0x7ac286ba9548db82,
0x795989deaf3236d3, 0x6f167d6d8cf81e3f, 0xbdadedaa3e46eb94, 0x88f7655ba658e213,
0xe530594c8fe113bd, 0xfcf449cc1781f0c8, 0x376b3ac6a83885a5, 0xefb13c5698e83bca,
0x6a833af63c17201b, 0x05724137cac030c7, 0x8da81a8f90b32228, 0x9cb062a0788e8315,
0x2ae3f1cacfa393c3, 0xc453cc041335c05d, 0xd76fd7194cd9aa4f, 0x363929586c4cbc9a,
0x5566b1352ca7a321, 0x611a013e87ebfe6d, 0x4028b352b49c1ac7, 0xe667c72a01b80116,
0xd789c93bd50bc8b3, 0x4bc22f71930f68d5, 0x9777687fdf4c5442, 0x7a04400dc8bdb759,
0xa9e8bb815b828078, 0xaa4e565dbd185f30, 0x9fe3d9a92414be9d, 0xeda72d70f6ca51b4,
0x93b60ccc41a46105, 0x6249b5ff82c04cfd, 0x1c8a8eb273d864a1, 0xe1e6923651139fd1,
0xfa918c04ed051cf4, 0xa87c658b4a189834, 0xaf336f186ae81986, 0x6f1526aa5e343a1a,
0xd70a45378d31beff, 0x6af6c73c1470bcf0, 0xee9483c22da542bb, 0xd55eaf0399a18d04,
0xeb1b0f52ec5b02f3, 0x5e0627f42f29a026, 0x0072b9917409e0be, 0x1a344e5987936eea,
0x254db4b5a2000345, 0x106ae764ea6840e8, 0xbade868e80f26745, 0x056978bf063f3f8c,
0x5bd19f09b63802bf, 0x57ce6b2337ad4745, 0xc6455c4dfac81779, 0x9b632e760dbcefd1,
0xaa9c311c27ea334e, 0xc567d1c14e4a45e8, 0xee98198895d822fa, 0x8b82cace3f6fbbc8,
0x304571898c12f9d4, 0x207ae49ccfbae74a, 0xc4cc8d50eeda6ec4, 0x7c1439f6be9aefae,
0x941d7fe0134d3eb9, 0x4a7e69ec94e93e2a, 0xd871360e79262860, 0x3afcbd8201c221c3,
0x441d549e31e1d3be, 0xfd270e427322177d, 0x178a442c733c231c, 0x404a23e3ab1ec656,
0x883932ef89cd4cee, 0x07710e29a2be30bf, 0x7e285d52e45ec391, 0x0f37d01edada0675,
0xbefaded6ac57b0e9, 0xec7168306271d292, 0x86b9a9a71aba7885, 0xe6a0156074600a08,
0x91c6eff4329a1e52, 0x9fd277a1d17737ac, 0x5b5fa2ce6f2824bc, 0x8f5a05840c3c6599,
0x738a58a78c96ab00, 0xa6e510a26a60511a, 0xe86dd6420af33f09, 0x4c2e99506072a91a,
0xe57f62dda8f3be29, 0x8c6949816c564349, 0x3ad39819aba970c2, 0xf10531a4e679a0bb,
0x1b0d7e9eb5a80a45, 0xf2aa167377196d6e, 0x85ce596e4b33721c, 0x81c63aa0c23d3622,
0x3d7a24e4773a57a0, 0x6004759d2a680ce2, 0x5cf28c2d0b9559ce, 0x74857bdbd8fcb32b,
0xfe33145ac8f62984, 0x8847df9dd9435435, 0x4ba9321fba8db826, 0xbd67fc90537277f0,
0x666e2ba8123c4a57, 0x65991d339df9a8f3, 0x8d23d11334eb5bce, 0x615061690d0442a3,
0x17c2fef286a7e44a, 0x461e51673c59a401, 0x2680326ab93d7a8e, 0xf6bd26937eb21f01,
0xe270972890df2902, 0x31bc4acab8ebd209, 0xc084403d249f07c7, 0xd652c8dcc1de5e1b,
0xff84d6de85862e56, 0xe50c4e7331b20661, 0xee183b6e4924523b, 0x22602531439be3dc,
0x5b7be93d4daa06d8, 0xc1fe109c1fd7bab7, 0x2532a0096f5019ce, 0xc123fadde78f0b7b,
0x8690c3dc9b19f91d, 0xa2ababeeab1aaf0d, 0xf2ba9b2718c668ac, 0xb654f36acf14a645,
0xfed0d9b07d636501, 0x8c973e24f4f992c3, 0xcde2f745b5e60cc3, 0x2b6fca4781f1609f,
0x86b054ddd476d3d0, 0x52df8d5a79e88877, 0x88c3e4ed88d7da62, 0x527264be33bc44d9,
0xf6266a46f4e95601, 0x2a005714f658f562, 0xc2fe239b4301ee75, 0x38d5961a52c2f040,
0x55424b3aeb6fefa0, 0xb0d20f7a57fe433b, 0x03b2fef3f4258e1d, 0x1a0f7ebcf87958bb,
0xfd11ee47ca2d2a92, 0x6a3dd7cf0e863628, 0x5ad0283cc148db42, 0x0fff5f84446d2bc7,
0x24d778b7d75d62f0, 0x97b34e5698dd81e5, 0x5911591b95e47fe8, 0xffaaafadf0c5b64c,
0xc161f9a3f3daacce, 0x47d2373e0d209b30, 0xd7f85656425282d8, 0x6efff0f4ebef1e2f,
0xb20ce2642b848d31, 0x0966443ba1d39f22, 0x681417e4cadf69d7, 0x12c04e3b6aeeb235,
0xdc3dc3520b16648d, 0x8d7d6c1925195036, 0x6aefbe41161d6942, 0x345245cc2100c197,
0xd9b495b6703a6a57, 0x5f00a657793c623c, 0xae69182e67a2b812, 0x48cfaf64f2f005f8,
0x0cc27936aaf06801, 0xa1e54886e97210b9, 0x7443f6df088846fe, 0x3a7951f3422a23d3,
0xbe75e47aedc62b57, 0xbd7902817290e1c1, 0x967d6e81eeaa8243, 0x6ed3d2f58fda0a13,
0x2f0442203ede1718, 0xac3fca312c2fc966, 0x1607bc700caf16f0, 0x738eada17da464f1,
0xbd7b9846ab0f3b78, 0xf0b6b4236542215c, 0x48c06b368a98cb8c, 0xae17c7588988c7f1,
0xe56b7d95c32feb28, 0xb8721b3621431dcc, 0xd1bfa46da7e7c36f, 0xe77c4d105a0c6b38,
0x6f73afb2a1f27d7d, 0x5dc4f91da2759afc, 0x8e076b75f87638ed, 0xefe00cf0d03bde9c,
0x133118ad38ef980b, 0x12be809f336814cf, 0x810aab1e45906d5b, 0xebe3d94e29c9ae5a,
0x925ab5f2122348c9, 0x1faf6935db1b9a77, 0x51bc6b2573dbf63e, 0xa95b0a19f1b85e8c,
0x8de23b643bc89c14, 0xa3f97d11c798dd9c, 0x8837a69769cd8d4f, 0xa47244ca72ff7b87,
0xb0c533e4b7f23547, 0xc2fbce36a6dd771e, 0xbfb69023ed016f66, 0x2e4d36714fe56a99,
0x1d85fe2a612b473f, 0xfbe59dcda5367967, 0xccb433d89c80c8bf, 0x8dce6744a5655fbb,
0xc24ebc0175fefe51, 0x5eb8c54a47af22a8, 0xafb5cecf089ea7f8, 0xdc5870c918ccdc7c,
0x33a6f27fdc4a3206, 0x41d73a75dc06ca4d, 0x6a6419e96da71205, 0x999c37b930dbfbb3,
0x2b5ebf2230defe35, 0x151efe74b36e65e5, 0x1ccc34955ced049e, 0xaecfb297e997f82d,
0x08ec9edf80aac99c, 0xa129dcfa283ca7ef, 0x96a489b83cc51a46, 0x7cf683d1f1df3917,
0x8266b2db02e21255, 0x3c321e24a0b43ee2, 0x8912a5d8dc9533b3, 0x6d9f6fc7bda39eb6,
0x1913d44b57537c94, 0xecd321fdb94463f0, 0xb4c49ef3e89c3a11, 0xef9d8347f0aec1f5,
0xc43bbdc365a157cb, 0x9541f01e569592e3, 0x733e11103925c4e4, 0xebb901892bac587e,
0x229ddba738ee2980, 0xb5d00bd68626c32c, 0xd3c5a60917d7121f, 0xa72583c7cf2c9f43,
0x6d3a923ab1f1c1ff, 0xa2a6c2e8786dd943, 0x19e7e9e595d42e4b, 0x8c60eb8c3108e9db,
0x604d0bcf5c6ca2d2, 0x0d340289428e00a9, 0xcfd14852ebb17ea5, 0xaa94358ffb0785fa,
0xa0fb2e7588df81fd, 0x2a4ac67f1d2e0211, 0x1156548a61b82c4d, 0xc869c80c5d260cf9,
0xb8a54a7ee011f4fa, 0xdbbb48a83a5d1789, 0x52350c1540598d23, 0x436636f81f1fd918,
0xaecf44bd28560801, 0x70c655c498590a0d, 0x6dd16acfeba7b34c, 0x97036ed7039e7c07,
0xe05d04bad530f434, 0x2141cf07b90b3fe8, 0x8f419170f3fe1fcb, 0xcffccf4cbbec96b3,
0x35f30af59e2b2197, 0x01e79f4ec45694b2, 0x07113bf5b50ce4f0, 0x47d9dc7f6714609e,
0x07bdbe8a10e443ed, 0x037bb1a5b6a4005c, 0x68aff22405e75a31, 0xdf097228806c3b73,
0x867077462b3da42d, 0x411c7842a75276f2, 0x4a2dfe7037277513, 0x0d784416cf160289,
0x27dfa461a3ad0f03, 0xadc9a372c07b485d, 0xe779f986d748b7ea, 0xa7480dca02e17eb9,
0x419fd3e9b8171ac3, 0x4d624dd7f5fc148e, 0x0764590377883ca0, 0x3c2fe4169dbc621d,
0x64e43b21ebf82f89, 0x63440f1c0fadd3fb, 0x2361039510a8f7b3, 0xb9e596c451c66da1,
0xef9842b445616147, 0x28565c2b425adaf8, 0x476faa5655e7d6a7, 0xa942d36ec15b5e43,
0x894cc7435ef42a79, 0xef00f69cb29c4821, 0x2497e5478b49b136, 0x80ba2da630cc64c9,
0xfbafa22eebe4772f, 0x7dc412736a90d624, 0xea644e10747778c8, 0xad43a4cdf251b173,
0xd054e339036e4d41, 0xbc3965a4a0bee885, 0xa03c7ba47833c97c, 0x4b7426a984e07672,
0x93c9c1ae88b854f3, 0x32d2e2ab62074dee, 0x96caa408f02f1fd7, 0x7b0a4e7c3d48eb62,
0xaa810b23a523a784, 0xce9e4d3a997e4411, 0xa87ce6f88219ad25, 0x96174a23ca722a1b,
0x1561b090f973dfea, 0xa8d751f3dcef8767, 0xecb93f2c57abeb24, 0x84149e36ce67b89a,
0xd462fed031879b0d, 0x2e0d4ba18bd83a83, 0xabf559b1e9fe0170, 0x3e81199be544c317,
0x8ca4dd143ea7b816, 0x76f1bad0f3c1718b, 0x09de81f7e31e1881, 0x4a838c103a69fc41,
0x59a9dfa77936e114, 0xe9ec59621ddf78e6, 0xbd95469f382eca4d, 0xbb35d28a223d9934,
0x90d097b9e4522328, 0xf11aa0c380119db9, 0x236801b632c2b433, 0xe3b3f41dcbb6eaa7,
0x3cac132c4836a003, 0x7653656c93f27513, 0xe2f2bfdce77c1e7c, 0x82663f4251310735,
0x175aed3063345fac, 0x1ff308eb7341156a, 0x93d59783d255facc, 0x37a9cfca45527ef1,
0x5a57662af3532dcd, 0x9b2544dd8bb019db, 0x5d1b76bf9402bd1a, 0xa850a5a8710a17ca,
0xe753f1c6abc25522, 0x39427e829e0f7563, 0x56c23dd3dc33c949, 0xc9aea9da238a1a1b,
0x03c8c80a44dc67f3, 0x2a47dd74be77156f, 0xcb1a0120aa3b2fb0, 0x59bcde83f3e3170a,
0xd048ba32815fb5a3, 0xa7a786b4ac4c51c3, 0xf95185b7be4b8845, 0x62af94a9a031cfe6,
0x77432b283aa64dfb, 0xf2e0da1c22e229c0, 0x418af392252e880e, 0xbf341dbf1411dab6,
0x59b45922a0be16b6, 0xbcd101d35d5f4534, 0x15ee40528a0efeb1, 0x4902f215fd29fa03,
0x79bae6018464a479, 0xf237bfa1b01ef781, 0xd4bc4215245b2099, 0xc4bcb8434da0633f,
0xe4b9b46ff68b1a63, 0x084cc4fa7b478bba, 0xdbfb43c9bb90553d, 0x1854086acdba3401,
0x542b0d4f457ceeee, 0x5f6d380159097c14, 0xab9d0f613972e9a4, 0xb120304b2124b87e,
0xc1280d6a97715bb4, 0x8de688679e896d90, 0xd75679d8ec457f22, 0xe8d44f6bc287f4c1,
0x31e0cfb19b6625ea, 0x19398226f07eee92, 0x971454006b90ab0b, 0xaa6ca3b1121bc1ad,
0x50742e33f11e90de, 0xed74827777f48938, 0x9d72745dcda9bac8, 0x03134a4b6b73fe39,
0x21d17531ac6438b9, 0x45874a1ad24d4d22, 0x3f85c291154c167c, 0xfe2600ab738d7164,
0x7fa99054e893c95c, 0xd2c1f6dc4a75184c, 0x92b546af4dd45a0c, 0xfc5e4162c5216cd9,
0x6018887a88b20581, 0xbac5a1c2fdd3e73f, 0x5063f7655ebb54bd, 0x62f9658bc17b53ae,
0xed2c4de8a59b191e, 0x5bc716e4383cb96f, 0x37c5831ebeedf433, 0xe8ea1d41b665c4e1,
0x793280e3c5856bf3, 0x1a55d37cc6538e3a, 0x8a69495d1e111284, 0xa3d27d793d2bd7ed,
0xb41e9754102fa2de, 0x58104f50dffa7179, 0x96d8546843064086, 0xf37b1e3bea76822b,
0xdcc671705b5a3cb7, 0x05888dd91458fc01, 0x95ecb161f00150e5, 0x198603b64ce39e13,
0x141175241f14d7d4, 0x8113bb902dfd9bb6, 0x870f48adb2db9bfa, 0x0f96a2b79946a3c2,
0x72bd4a0d6d90ff3e, 0x272b928d92f77bef, 0x0a0b1da5195ff2ab, 0xa42bf43e005a3adc,
0xd72887c317245c97, 0x8ff412407b7b7d38, 0x6dc1366b9704baf9, 0x5ab28781b44a6bb0,
0xde08e8afe0705271, 0x59018ec8dd107c6e, 0x23127b86eb5933bb, 0x8f252c9dea513d89,
0xf94f8cd8a0ef16ff, 0x8571488fa8dad6d7, 0xa6332ac371661b12, 0xf5759fa2a32cc373,
0x0864a02eb4ffb7a2, 0x443f50620d13f422, 0xb66470be66af826f, 0x119c6488308860e2,
0x31b5cd3b00e70b2a, 0xf841fbf485beec57, 0xce3bf99668978201, 0x3cdbe54b9ca532e7,
0x50f49494ad43b1b3, 0x7d9842ce1e21a6ab, 0xf1b45f142045f362, 0xb09aef5995c3bbe1,
0x55ab89a5343cbb21, 0xf3d943413fb2f9af, 0x9888dccb63910725, 0x5f0e316a1065b815,
0x1630355cb0022f67, 0xa8f59ee27feb08dc, 0x61cb94f0b691057f, 0x36bc72b86f00fe53,
0xf17c409293e5111b, 0xd178ca13f655a335, 0xe8000f1a0b9f5b6f, 0x5dca46cf1f5345f0,
0xa77e941a0c54d2b8, 0xae3efaafb6864fb2, 0x3f160f7ad7e9ae32, 0xa9537aca0d491c33,
0x624834ac98396881, 0x441f0a519925c876, 0x21ff13474ab1240b, 0x706fd5d80ac1e265,
0xc901ddda038f6cdf, 0xcddd7e37fa743dd7, 0x5dc714a99a8cd7fc, 0x04eaed7bcef1cae1,
0xf5c924a8b85e2281, 0x402f82058e6b3ed0, 0x0f6dfc077fa73dcf, 0x2400a8f2363a6eb8,
0x560e936e0ae1406b, 0xa2f0a82123dd2991, 0x100f2d8af55ef752, 0xcc6f89ae83639721,
0xd6ef1ee313d82bc1, 0x4d81954eee39c9e8, 0xaabfa24191fe7a64, 0x27c0489d3d7efd01,
0x0a5286eb6f48e334, 0x0285746d50ccfac9, 0x3f2b14533d368cc0, 0x98d7e0f13e795f12,
0xf22335de050eabaf, 0x3878e7e4bc0c9c16, 0x64c93d1575ea40e4, 0xd42f6a2b3e5ee487,
0x72b4e0919983e856, 0x0b5ac7c7945130d2, 0x979b6349e6b70958, 0x49bf5c82b2ce2072,
0x90b080aadcb16cd6, 0x4c7de5706a37ff44, 0x358d3cf65f3b00c9, 0xa715eb3d34e420a4,
0x7a2eab13cc2bc678, 0x3c9bc5460cd01b7d, 0xba798cfb829221e4, 0xfc57f3e3bfa2073f,
0xad57dbda53fa602b, 0x456f395c7c207f28, 0xff3b4c90075b86df, 0x1c45e5898dd93a31,
0x529b16ea2501122e, 0x9d3c6cc7b807e973, 0xa8412dbdbf54f759, 0xda40f05294ec2e55,
0x188322a73bebc1a4, 0x99e810391c32dda8, 0xf9c0764846f1d4ef, 0x689e48dac3b3436a,
0x83ca1caea8974592, 0x6fad0a8c722591da, 0x5f02683e25206562, 0xffbdb93a6f2d1c8f,
0x2463e3e9d63557d3, 0x3d9f04100f8dff7f, 0x570c531c7dc45b67, 0x44a155fc3684d3b7,
0x5b29cf8b1be60fad, 0x3d4105dceb36b404, 0xb4f81cfbd989e84d, 0x47b91e75d666ab26,
0x24171bec298da039, 0x84690ec930b9c1c2, 0x65bc55548d5c8f0f, 0xaafd01edd529dc0f,
0x44c2cd3b5579b1a7, 0x99a289c9c8883f77, 0xf11fa0a0ef303c10, 0xc14fdaf40717c61c,
0xd170effc6b25cb24, 0x727115dbd9990a2f, 0x3cdfa13faff6ee40, 0x22ca00dd105e8479,
0xf3be7c10919fbf35, 0xa3894d7cadfafc08, 0x7536dc915f4b2b8b, 0x2458e60e6228a67d,
0xfd4caa760b4ae4a9, 0x4a9da57d176df538, 0xabc592522a506edb, 0x4ef92c271de4e711,
0xd6db0527d8b7497d, 0xb7e5619ddf8b7cc7, 0xf893d0a79b3388a5, 0x852839ad38bd17b9,
0xf09baa3db12d57bc, 0xd9fd9a0427305bae, 0x7867442dea63d046, 0x6a6d074561ccb972,
0x84a33479af072b54, 0xbf4330c6b6c536fc, 0x1a1110dceb22a162, 0x8911171d1f17e5ed,
0xfe1e9455d6aab5df, 0xeedb0cb236a1dfb3, 0xea0654ef9fb0561b, 0x31ea999bcad1e537,
0x4243301692fb8809, 0x956d022e5ea8bfbd, 0x671f3a9ef085d17a, 0x15c521b2856c0893,
0xc6408fffa0dd5cca, 0x3ee1546afeeff3e7, 0xba43a1ecad1bba77, 0x046d26f414200eee,
0x8feb68803849c340, 0xa4d39e3c27251ca7, 0x5e3d493642c8a144, 0x43af7a535bc4bba4,
0x01b5e19b3fa1ee19, 0x576138cae63535d4, 0xd96c524e3a7da081, 0x964fe5fa3eee22e2,
0x48df1f0d0e6bedbd, 0xb5f3d58460298bb4, 0x83811186c9c83622, 0x9d80d55e653a5331,
0xbfa91f8b5584a441, 0xf5eb02a63157dcec, 0x8f4c4933113fa951, 0x560537f4432a7c83,
0x25b21ef54b733ba2, 0x8530feb4edc6fb40, 0xeac3a93d3e044a84, 0xf501bf5468cd10f4,
0x14b643b45e7afb09, 0xaefb2c65a36190a5, 0xcb6cf016dcb43f37, 0x1d240dcaceed4221,
0xe1b4dd3e7696dab9, 0xa8b49fa0ec692eed, 0xef36e5e4502ab5cd, 0x252690d0ae40b446,
0x8797b9745fae913e, 0x825dcddd5a8334c0, 0x273b649db916f10b, 0xc11197b0dd3609a4,
0x4cabf16659ad19e4, 0x41add448acd1e1a8, 0x80452a199e21b1de, 0x92635f9c0d6ae456,
0x0f8df04221136585, 0xf428c139e59a5182, 0x63f5e0b28bf2f8f4, 0x630d690c5aac3329,
0x73f08bed429e4299, 0x02554ed252f82384, 0x004fff81e33e9e16, 0xf74dc8c0cb9ab691,
0xb87985276c0d8518, 0x6d5a7a703b7e7298, 0xa93703ee90107d81, 0x8b0bc78b3c6d96ab,
0x72c0ed04ab0edba9, 0x0a83c83b951a9324, 0xd6aed0b33f199f21, 0x1f0fc281858a0050,
0x97f3e095d91f0565, 0xa0ed66ac8290940e, 0x755615e192c53c62, 0xf64823284b6f834e,
0x98346468e242bb34, 0x7712f37e43dfda84, 0xd6fe3430ceb08147, 0x6fb5da0dadf486a1,
0x463d1e72b3212f49, 0xbb98cbb405e63310, 0x8ec705d7dd705f56, 0x5138dea07ba88b33,
0xe9e46a6f8290db2b, 0x36cc127a16df4e32, 0x9ca3470be2a2b660, 0xad6dc96260def45c,
0xe95955e6ec5c44cd, 0x0f4d552091cd390f, 0xc4ea772bb6485cd1, 0xe3f89c7ce7c03690,
0x18816e8b000830f2, 0xce359fed58527838, 0xb597ed19147aaaf1, 0x52fdf464f4869019,
0x57b6739453ab94f3, 0x7c2d0f82db20bb05, 0x540553d1c449c0fc, 0x2cee868941b8d123,
0x89712724e4039b6f, 0xf3549a13bb901422, 0x2c521411bfda2af4, 0x96fa1cb8012b97e8,
0x0a95024c889edf44, 0x0a326b93261bbd00, 0xc07bd4f2fb23bec7, 0x8c1eb9cbe538f8e3,
0xe629abdf34628234, 0x793a035e035f5138, 0xb5bb1bc01d82c3e4, 0x2b70aa2ca15746b1,
0xe23887bc9951e0e8, 0xad6f79dfe0a696b4, 0x2656e0edfaffa782, 0xee736f3b2e489357,
0xdb49a39e52130c89, 0x0ad26c18ecfc7b4c, 0xd40a256acbefcb33, 0x2bb471024ccf7c2c,
0x7a622d18fab838ee, 0x86efaa814af51d8c, 0x3a7fe61d15be1d36, 0x90c1539a03dd5116,
0xaba53e9224fd32d4, 0x11f91a35db9e4937, 0x620eb41a74fbbd5d, 0x2a89926d35bb92fd,
0xe4d6663b2a8a1d00, 0xb62033a32c85e6e9, 0x2e65df1fe455e21f, 0x2c9b9225f1ca50ff,
0xc089949dc0c1dd72, 0x799b0005ad8777bb, 0xe126b515229b7712, 0x93a30c959b87b378,
0x674b93edf00c0572, 0x7ed09379591912ed, 0x98bc9e9681543d23, 0x3bf27adf8e323188,
0x48162b4801ce3384, 0x49056d2eae8031df, 0xd6d2c4e97aee04a2, 0xc8bca618e0669b6b,
0x206182e924002003, 0xcdd419c25f0fbdba, 0x1b17a8e96490ef09, 0x151814cae7112db0,
0xffbdd5629276638e, 0x191cc6f20378a4c3, 0x7c28f3f2fadd0eee, 0xcafc3c90b15cf7fb,
0x2f6df0f71df982e2, 0xaa2e167f56fcc98e, 0xb25a5ea76556c8b9, 0xe9de9325f6211192,
0x25133961111d78cb, 0xeaa99f5860db3c04, 0x8116d92c2d550408, 0x3aad86e1bf181e1a,
0xce2f6cbe29dcf264, 0xb21c215da0325a41, 0x96d633cbee22aa1a, 0xd224114a4181542e,
0xab0456c282c28700, 0x9a311dfd4b40c44f, 0x8004f995e800793a, 0xd7553b24cb8076a7,
0xe0e061893ffa0ec3, 0x274c0bba1f246526, 0xaf455bf108633658, 0x9de65a5275eaa4ab,
0x27ddc024c23f97cf, 0xdd95480eddfb8bd0, 0xfa969572a3783005, 0xdd54926fea5feabe,
0x6a653b74f01154ab, 0xef8fdba5c2fb9e75, 0x5c397a1236d68f3e, 0x8bb1637e3831a237,
0x3493a4903ea6184e, 0x6c7a9ddd98929ec7, 0x67329437a791e2ef, 0xbf030f1f678f29ae,
0x102de7adc5d41b37, 0x551bcd6904371b22, 0x5f81f3b29d304a4d, 0x3b88baf0c43f0f76,
0x71075cf9526c6004, 0x5ce708d5d157f1bb, 0xceb5116bdecbed2e, 0xd35f93be9383c047,
0xff0382550b9dc9a6, 0x8a431cf71f4f9d7b, 0xf0a683582281d679, 0x8cb5e8c8f738dc0c,
0x6c37e7c50b1f9483, 0x39e49236e293738b, 0x669d4a9a206297c4, 0xeee562a4cb6dc677,
0x8c77dba71c1bd14b, 0xd768bd1b76e48502, 0x041a1795f67ddc23, 0x2e337811c1573e29,
0x1b0687c5b19e5d61, 0xa8c7e68a2c63ca36, 0x6b15c8bb64d89e01, 0x4e254fb2751cdeec,
0xce3a13c5eb93ea8e, 0x26b10d71bc47a991, 0x61297fbbe1c360e7, 0xb22f4fe57a756f6d,
0x8d7ef60778d1c065, 0x7c38b5c47ee06d68, 0xd4ec2e2ac5a4a24b, 0xde463dd6aeeff944,
0x113ad8ab37f91258, 0x629dcbfc65555e0c, 0x377eb2d6f531de8e, 0x137f4d8ab8c5dcce,
0xdaf4aebd8e3de00a, 0xe9f0cff67f06a67f, 0xccff83896072e3d8, 0xa63ca4aeeb1d4d34,
0x356a4e89d93cf950, 0x2d2ebf3c785d290c, 0xf9fa8d731e1a2d95, 0x74011c34e4c59f53,
0xc657c09a2661a0e3, 0xf5cdf9489c8df558, 0x4258b18673921c7a, 0xad75ea27eb35c7f8,
0xfa53aba1c0b612ce, 0x43df9edf503a8a12, 0xf3df2e8928b7f35f, 0xe126e903af14a8ac,
0x448c77627d73515d, 0x00c3f486d29e53be, 0x3c31fd93b469ba5e, 0x4fcb20a5a7529543,
0xa3707c2f4411658b, 0xa7465250261e466a, 0xe67c4c7914d7bd21, 0x1d8ccb0dfcc16691,
0xf4f4c8c059ed84ef, 0x3655ab2a8f1f1a8a, 0x4735b28c2855bc6b, 0x477c7d01c2a14ddd,
0xa5118b68602bbb35, 0x0e83dba8356753e9, 0x48f3469c4f8f338c, 0xe23c95b45543b05a,
0xe3493c2fe45bee6b, 0x2df676fa625f464d, 0x206057079f750f06, 0x72a93734503eb936,
0xdf5b08b8f461dc59, 0x1cc511da5837c237, 0x6c8c830e31bdc45a, 0x4690d1d8a194d057,
0x589d3d45c1420dea, 0x7b32800a5e117c4b, 0xbbb0c6a8ac3dd539, 0xd50570ad7bfdf527,
0xae2179180a7ba703, 0x686d3b7e6d3a11aa, 0x9f0e5531bb4a5a4f, 0x5e45492bad6ab826,
0x8d95649c36f3fb0b, 0xa7593b34d8ddf337, 0x6a2ef0ea01e66643, 0x151313da52d1040f,
0xa6caf7cdeac31fed, 0xb906ac61d44f18bd, 0x0091b6aac33a8ac1, 0xd7047e26c6624899,
0x54bf3e50806b22f1, 0xcc4e0288d4757258, 0x9b24cfacb00d6f8d, 0x7828930badbf3931,
0xb27dd4bcfa55f214, 0x30c5580dc0f692aa, 0xdcb9a5e151d6949b, 0x95865a720b3fbc26,
0xc21ca9a9bea3a5ee, 0x0c6200fd1066602d, 0xc0be40ba165812a4, 0xc311e724a599551a,
0x592feb7846f260ea, 0x1bc94c796e634e0c, 0xe8cb8aae8e677650, 0xc52089c03b3a9ae3,
0x6d6f5ca4f0e6212a, 0xdba99209feb77993, 0x9c5610d7d3dd2ab9, 0x43d0a23a70c15485,
0x695864e7c65d617e, 0xcde022e53b32b063, 0x85e9081c648e494a, 0x5437fd9bf3235244,
0x42c0574c4c69b673, 0xb494111be8da63d5, 0xa09e0f84069c5b03, 0xf608f1f5aa4d8e0d,
0x4b5917f9af3dbb6f, 0x876db0fa77f6c1d3, 0xa82080840c5efe3e, 0xe4dcd912641a957f,
0xe52a4f4d4cd110fb, 0x3c000b727b728f6e, 0x9e0adfd7cf7ffb00, 0x55b06df8e913eced,
0x776290e7e64e17a6, 0x030e32251192a647, 0x914a039902606d6a, 0x614c04f2f0deb2ae,
0xed1c5c03c896d90c, 0x81d451c79bf48502, 0xcc97a274280d67d9, 0xec0eaf51d75b35cf,
0x1eb6fcad5ce66f0f, 0xfdaefd72db579b86, 0x8e5aae3324a5e959, 0x3233195e19d91ecf,
0x30d9620f6fea7fae, 0xf31fd45e3004860b, 0x0c0edcf81fc88418, 0xecc829ee5d5f2bed,
0x65b48e75e45a5079, 0x7a15e70a8eb6fdc5, 0x0987ab0872508205, 0x3857b2e4fa044ebd,
0xb509d1cff02ebbed, 0xca16434363ac795a, 0xe72882e693f8c825, 0x035f7e69a46ef4b6,
0xa9558e56ed4eca61, 0x8d152cb6270a616d, 0xda2357888c287f99, 0x4374954e04e75bf2,
0xdbecad86354b644b, 0xc1be06c672d19e30, 0x36c91322cc271dc2, 0x9ed40f4909a59093,
0x5056b2466d24399e, 0x0e6e1f4789296e1a, 0x5f27183cbc931e22, 0xdb880680ffe5d098,
0x46df0893c2284d92, 0x3e81a40c36286e79, 0x7061fcde186bf809, 0x46393537388d36f9,
0xaeb2bd0add3e5b59, 0xd92366c6e15b740f, 0xf1b1c65f25df9035, 0xce5c92f99785cfbf,
0xdf83bb2c68b2a85f, 0x948b9bbffefa68c8, 0x4eb3e3d987a03a58, 0xaade292c62b1a97c,
0x2b600e8e8c890118, 0xabc706a9da3124b0, 0x614f9aa2cfcfea12, 0x5732c90755bd446e,
0x673f39744d5738a7, 0x285c0559a6c30318, 0x6029518c6f69a013, 0x0631fc5c12722556,
0x55e98ba8c797a280, 0xcb7d9260518e3e9b, 0xf0c0cf17cc1499b0, 0x1bf53625e2c03c2f,
0xd30c73614915df6b, 0x12d79e1116b59d02, 0x00e9c3801043397d, 0xba9176daa2998081,
0xd04f8c11c1f99664, 0xdf6a14a7663f37d9, 0x13a9caae8f94422b, 0xd321b54959fbc938,
0xf81f264e83604923, 0x2a39d22599a7d411, 0x185261ce73c33c3f, 0xbed1025475709ec4,
0x1f99ea29eaafa941, 0xf80fdb450fe0297f, 0x2caab9371690eb0b, 0xb439a767e537a205,
0x83657401a60c1a73, 0x47b3c98fc95cda94, 0x8c725deeb0f692f4, 0xa4f0badf18755dbf,
0xee6c4703b1009b33, 0x66cf202576079e5d, 0x2f9d9931b10debec, 0xbb0d315a6d4c4418,
0x72e8892188ace8ac, 0x4ba59a8981373410, 0x42fe0c0d94f05b83, 0x1025765af27db7e4,
0x68242ec1235ddd65, 0x333349de465a4214, 0x4796e203a254476a, 0xa9943ec20f7cdb64,
0xca62d842ebc0bc1c, 0x9efa52dea7fa81b4, 0x7a943750178ee1e2, 0x7e75bc96d11b3282,
0xf6f691d6e54979d7, 0xff167e6ade6bdacb, 0xe22d517817b501a4, 0xc3f0f2cfae8ad232,
0x5cff623658d9f984, 0x179b72f35493164e, 0xc9e29ca4125a7e8f, 0xa57b7073b87dfb38,
0x947111814469da59, 0x4f726c1bf4f19f59, 0x62f2a9b090b93ad9, 0x1c67274f2b1c9240,
0x9c54bf30fa8275ca, 0xc02a9797ebd83298, 0xa34b7bf6deccd55b, 0xc59bbdf7cb6db6b8,
0x601025936e76492c, 0x11cf23352115a0ef, 0x07d6307e827758ee, 0xf9119a7342433928,
0x5bf3cb63519a6cb6, 0xb3aef6f3ce0dad0c, 0x30a98f4ae0d7dbf9, 0xd54ba528feb44aca,
0xbac183dd40082f35, 0xccc44655fd44514d, 0xfb201d475c95a68a, 0x2bad58d15f1dbae0,
0x7a67a4e82aa4a661, 0xc9a9043382c08334, 0xa820836c3f04b087, 0x673e3efce460dea1,
0x186538b4ec679360, 0xd5d4dc5b85b2a834, 0x654fd0a343ae906f, 0x12c4151dbf17b763,
0x93f373299029a955, 0x8ec35c9846cef520, 0x1996036f503a7706, 0xd37721a4173041eb,
0x4adb731975ffd143, 0x975404dd1e4ca03b, 0x75be4eb9553a1ba1, 0x38b5d1b974e44a95,
0xfeca3249460fbfdc, 0x0d911dc52b543fca, 0x76e69494d0ec7c08, 0xbecbeb3b4051293b,
0x6c7aa918889baa1f, 0x0eed94d0f8c930ca, 0x9500706287a6d0b0, 0xe0670e76961e0080,
0x4508847afcf55204, 0xab6d8ae202ea29f7, 0x813361acb8697ac7, 0x54213569bacd86c0,
0x613e224f4cf431b0, 0x8d8b983bbe52e6c4, 0x2a85d5e738aaad72, 0x5bd7abf48694c069,
0x0248875ab841cbd7, 0xe81843076adccb67, 0x34648c0e6fc49dc8, 0xad13bc6be34bdda4,
0x5cbd2d2852261889, 0x903b96294f5d2464, 0x990e911bcdc4a2ee, 0x9517753237983fe6,
0x3f167f8624f36676, 0x5766b690acfb60b7, 0x812ef4067457d618, 0x848c5fa2351cedc9,
0x575323a752426251, 0x4472209fe40546d4, 0xad1c9247b43652c9, 0x8256d98202673bfc,
0xe4ca34106e46bd93, 0xbf8445f06e66e51a, 0x1eaba756e2ce11e2, 0x47e8a6dbd3d1d057,
0x2694b5e8f9948065, 0xd86adbad206f66d6, 0x89ae618fbc42e9d4, 0xb272617d606d715e,
0xc9eff4d76d9737f1, 0x8580e5817b8e56ba, 0xc054c28cb73416e5, 0xe8418937c30f89d0,
0x9422058ce6e0f421, 0x8185208436b84427, 0x9e57f903c9d54f4a, 0xa1da3ad20f21720c,
0x6f3920470364c70b, 0x7267de41e5d7cd47, 0x951cdb18370a99e4, 0xbecd7d1f7e0a62b0,
0x1a731ced4facc7ec, 0x6a6478589a8fc230, 0x8e6f57b28032df20, 0xea4dd836b8d3fecb,
0x37e1017a589ddb72, 0xc8f231cea38ca605, 0x6552302293958337, 0x4290b506481e953d,
0x1ddacde8d684b070, 0x7288e9cf714f3d36, 0xcf5aa4b2ca9b1fec, 0xc612369c24643b43,
0x4e5d5fafbf2ab94a, 0x53d4e552bc186d0f, 0xa11c79b1e1e701a3, 0x3fa6e9e50d026cef,
0xe0275611a015bea9, 0xbe071a8805d338e3, 0x777142776a7cbef3, 0xd1ca68784e718622,
0x7beb0ecd135f983c, 0x46404ce42f971bff, 0x24bf336ebfcc1290, 0xeb43630435a0166b,
0xec69c4308ec84c37, 0x4c6ce7547f2f641a, 0x5d290951044c819c, 0x1a2e42ee1c7f89c8,
0x85dcb83be15aed49, 0xfe2b45cb1036204a, 0xb622d1ff29106f98, 0xeb7d494e19eb6cd6,
0xe061be72d6551a09, 0x0478d97f943e5252, 0xf610cf18809b1702, 0x3135fe3f9fa657db,
0xb7e65f1cae7b6f46, 0xcda1555e9af90dec, 0x9f976411eb12b0dd, 0x21269e112fe88dc8,
0xccbf999057a3682b, 0xb974d9bbfaab3c4e, 0x349d10f77d9b91bc, 0xa2160e7f19e30f42,
0xd41092d2a3d94a98, 0x859ef19d5b10161d, 0xf938cc3c8be4c82e, 0x341efbd6d6fa6bbb,
0xd10ac4cd23699c9b, 0xf54856acc30418a8, 0x444af70c7605db54, 0x576fb121056e8397,
0x6121d56419a02a11, 0xbef739c4c0bccda9, 0x6923dfd76c0b2e27, 0x1ba06db8b35f9416,
0x27770017fae68c1c, 0x352390ad1fdd6738, 0x6dbb47a15c3194f6, 0xb35f51886ffd1260,
0xcc2c4cba311f074f, 0x7548409855f955f7, 0x264fd1a4e1f5d6f4, 0x1342979385fa6c05,
0xbaa78427d50336cd, 0xf96f93564a48e068, 0x0e5b0484f96c3068, 0xde7a01ba132e8bef,
0x6ec689a5348a3c60, 0x7c84e96a97530a60, 0x379bd9287ef5e3de, 0xc4579349937e0771,
0x79d25571fbb5c63c, 0x508e18fa051c858d, 0xb721ce76f227e74b, 0xca6fd945a03a6af8,
0x7ee8f804c032dafd, 0xdb95af1f5f696ca4, 0xe092c16ca2e3085c, 0x591ab06e78e27ddc,
0x03aac4f937aa88bc, 0x7ec6963d125a801d, 0x81712f03e0e452b0, 0xdcadeaa3f229005a,
0x3810ee5253f86e92, 0x17f6b7bdd79f106d, 0xc311376262ecde17, 0xabe3f50206a1307e,
0xdac7a2a68bab66d4, 0xbe0914e326910021, 0x1410b04d1c0478ad, 0x7686036003b45a9f,
0x0b527bd9e826e01e, 0x29992bc289821fb1, 0x753df71ce8994b8d, 0x6a180d92845eb84e,
0xcfdd13341cd3e83a, 0x562858feae05e64e, 0xc423c5a12ba15860, 0x4bd34f3fb4029ccd,
0x38500c984d4fad2f, 0x6903a8d89b94a6c0, 0x6170de4c039631c1, 0xb614adf60d0466b3,
0xb0bfecbe98b4c80f, 0x597a679c82807d59, 0xc3f8fc73da4c2209, 0x3394fdfcba20f57e,
0xe44b0bc10a99e77d, 0xdb78a47567751de8, 0x9bd751096b243ced, 0xfcdd6e491aa3154c,
0xf6bca65eef18f0fe, 0xeae9d07fd41bab3d, 0x4a6ffe28426b2afe, 0x5e970e7f3255a78c,
0xa4e54566b09e2b3c, 0x363ade46e6933ee8, 0xc57c04c214152b1c, 0x2f2e2b2271bab939,
0x73817b1f5a5f8776, 0xd1f525aea579e536, 0x480980085815aad5, 0xe6d356a140f76bb1,
0xa8a0bc3070cfd5bd, 0xc31092e66c35e567, 0x79e2da0ab816295d, 0xc04389f7107a96e3,
0x7c914cdc15635a2c, 0x6b86d21725e768e5, 0x72e2584504af1fef, 0x15538a27564f28bc,
0x67cc8d243e224aab, 0x40995dcff1645f4a, 0xf107e2b99228d84d, 0xdf4ddf11c7ae4930,
0xe17a63055d810887, 0x98ef7ac14f6fb93e, 0x161409e104f6e12e, 0x7c2173c58d841e01,
0x11b28a03054cf9b5, 0x228be8e9cbf13fed, 0x6805bc0f31fd78cb, 0x022e2fd7a2ffda4c,
0x566be2c9d4d9c96e, 0xf5c8ea76785c246e, 0x3065f7f6bb78a576, 0x7aaa870c28c99114,
0x3e84c706230e123d, 0x05944ada658193b9, 0xc1e929e56655e872, 0xbffd75e53659461e,
0x06ea1d837f0c2f83, 0xe6819115bbeb9d55, 0x592560157eb09eec, 0xcff371fb925b9754,
0x9bbf432d396e6916, 0xf1bb953242efc631, 0xe4323310703d11b8, 0x0381d3f1f3e50141,
0xf92c494f8d876aef, 0x692ca186b1c08a51, 0xd10b042555097c0f, 0xdf0e666f44cbb618,
0x1f93c52266618738, 0x627fbe2d5a6b5737, 0xc6bee7fc416ee1a3, 0xd88f7f4c57e05f88,
0x337ae0e7b9a93815, 0x32c61f4b522cf347, 0x63b6da1447895641, 0x391feb027add0b35,
0xb78a16bd38368941, 0xa0c1f196eaa0ff18, 0xaf8a07fea53c1e1e, 0x893ee13636aa6c96,
0x202ea2215318c5ae, 0xb97334a657056882, 0x12a53b107d97d193, 0xc080fbfb06cc7f8b,
0xc2d8b463f27b0b68, 0x8c87763a9ddb31b7, 0xcfe0e7dc238f6a4e, 0xd23cd37e3da44e82,
0xa97d4c62dc6223fb, 0x373f8f780172deac, 0x0be49a0bb9d67509, 0xaaad651220db5bd4,
0x1546f63e2a1f13ba, 0x8f3d0e8a145032fe, 0xd7f5573cbd6ebe37, 0x291088784f8448ac,
0x85e4255bf05e4245, 0x644a84307cac03fb, 0x859da1e45e2b75ac, 0x9fadcfcf422e761d,
0x781449ebbc4c70db, 0xc3ea5049297ca356, 0x577d32242cde8204, 0xe250dfcecaca36ad,
0xedc082116f367a07, 0x8a6cbb131008e725, 0x2aa6cc866474e2e5, 0x95bc97e3c82e320f,
0x679f4d9dd88929b2, 0x71124e37958792da, 0x4ab3ebbc695f9ebc, 0xab8f80704ecd9297,
0xde8e3f052dfe3dff, 0xdac780542c7eb6df, 0x6ab7e8884670bbb3, 0xf563589a4dbe1b91,
0x58d3a86ee0df7d1e, 0xb30316d424975032, 0x74fdf277548e9be7, 0x626330b5625e1996,
0xee3c0d808e37ca3f, 0x213f9ca29d8138bf, 0xe4930dc245d2c4aa, 0x1a05694e6b9b7c7b,
0xa39afbd5ee949689, 0x48b3d1325158eb6e, 0xc78c0ab651e45fc6, 0x32ad9eb09f7b2366,
0x9704e110323b5938, 0xe04b4dce9ed51298, 0xb6d93d21fa6ef7dc, 0xd4d634e8a8ad5dae,
0x8433cc979885ae49, 0x8bd938a061cf36c5, 0x07bccb3c4b9c1384, 0x14761a82db6c30fa,
0x04dfdeb63479eb6c, 0xf77d2d8bfe52960b, 0xb7f3a0c3cd3bef0b, 0x2e8188985379b0c1,
0xa24b9ee3e34e2149, 0xc0f2a7177d23dc5a, 0x5148da475c1c2dcc, 0x74ba16bff2e1cf9a,
0x8e73279f56ccd257, 0x31d246f73d169729, 0xa6f056d8818f000e, 0xc37c3a81996eb824,
0x290a699c1c714803, 0xc10b5f1a5fb805ff, 0xf89050dc1eb91fa0, 0xf62f7431d4603290,
0x72507ef2d4cbcdc9, 0x62e7eecfbeb72623, 0x406d5df2d538e135, 0x236adcd937de320c,
0xf537ad192958f8b5, 0xe720429625600657, 0x10075841f5c5f6aa, 0x8b7d5431d1cf6e84,
0xa8c146bdac430bbe, 0x80b8be51018a3445, 0xe50da522a9c721e6, 0xaf2c2ddb5e1cd8d9,
0x8e7f19aeb5b404a2, 0xb02c9ac19f308180, 0x4f35d045eb853cf7, 0x7740202596e5928c,
0x3a2be11e275a4e84, 0x5006379559132fb4, 0xb687de7abc399d67, 0xd0cbd5d8f82c85c5,
0x67585602cdcf5250, 0x2ded7f38995dec22, 0x2f3a5d7c0789ac68, 0x65cc7774b8f71642,
0xdc8079ed31b82b05, 0x68502ac6f99f6888, 0x3495dcfe810e2476, 0xc975c5a11c563a3e,
0x284b6119336e009a, 0x0e034b9abee60e89, 0xd3e2f96fc092829c, 0x7edeb6cc9517ac78,
0x29273a0fdda9623e, 0x476207fecb6c8264, 0xbf23425d202afeb5, 0x1c671b97a879b14a,
0x64ca2ce5731f0eab, 0x564d544dce025f53, 0xe32f67379640bdb1, 0x5c9e8e6ed89095f8,
0x7f8fcaa339611d52, 0x24fb9dbb39f416cd, 0xce620a391101d27e, 0x3a1d0e8f082c79ca,
0x81439c3862231578, 0xe8c877efdcbe869f, 0xcf7e69883a89be75, 0x4191e2288601c14d,
0xaa868c8c2f552a2d, 0xcf3d6b58b42ef6bc, 0xd37dffaecef7afc8, 0xa9426f8ee9aec446,
0x8e39f5fc60e903ea, 0x3590984c05ca08be, 0x459f315beda092f6, 0xab1a7e4827b36dfb,
0x4a89b6136f22a2ed, 0x74aaa2cf359ef6a2, 0x114f48fb69426ced, 0xfc3d76a9d8b9c07e,
0xf9125e090e05b205, 0x1abf34d821f56432, 0xd85b0267a003a838, 0xe71796e3df88ecb0,
0x030ec94db5bddcf5, 0x845f2cc307710e17, 0xf038809e87799bab, 0x9e54826b9f6ab1df,
0xbeecf9ff61fc2a22, 0x65ca36be408e4935, 0x4264689e0e0013e3, 0xbf86fa3472597f13,
0xf9db9d08a8c3a50d, 0xfa93b5312e9b3004, 0xf30d04e249136076, 0x75b68ce41fd7e2ce,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x68a88405ae53c1e9, 0x51e46707fd558656, 0x71e834cf86896c10, 0x3d251b54e10d581f,
0x1884d5b0eeb19032, 0xeeaf729853e526fe, 0x5931f6831a8d8c11, 0x87891d33fb98b4d8,
0xb487b5255ba8a18b, 0xaef785edb2d976c6, 0x8ac084b354d5c019, 0xc714fe0a7e7cb0c9,
0x272b34204b9086a7, 0x66d421662f652954, 0xbe640374928d3af4, 0x7d3257b3f0553a6e,
0x4f1d9b4c437a08a5, 0x11ae3d72e0e1e536, 0x6e7924dc694356b5, 0x6e9ecc765f59086c,
0xde6d6c65d7a5a821, 0xdd931ceaf6a11453, 0x6a175ae7c1e72630, 0xa9bc5474fffd9cf6,
0xeeaef3b448525ec8, 0x15008c9351c8bd2a, 0x81b3090c5ee3e61c, 0x01767fed76e01382,
0xb6cfaa3c6b39105c, 0x36e7d0051c456721, 0xdae50f00fa46dbee, 0xe965d41c883da319,
0xae3791f2103ece26, 0x1ba533b9e8c869f0, 0xa65abccce40c0a4b, 0xfa6915e0b76276a1,
0x4feb7b7a96c8a36f, 0x7f49425e7e54bbaa, 0x74911044655a6d3f, 0xcf46469a6114d216,
0xa2f5106e2a65f70a, 0x5bb57bd0c4d8d1ea, 0xf8465cb0f73a0bab, 0x8011828ad5716c05,
0x2b64be22994f2908, 0x2a247946e673e7a0, 0x87a2f13d788e0d87, 0x0628e8ab5b721f18,
0xdf60eda1163aa13b, 0x6a3d7af1fa7bc9d2, 0x3f8b712461d47f9b, 0x64363be32bbcb36e,
0xa0df8815f0f98d15, 0x5e9cd01f29a9b5c2, 0xf5f24fcdea2f8661, 0xd427b3c4db6a676d,
0x559b2ef1191938c2, 0x0904120044e6619d, 0x9b412237d49e8c08, 0xa9c7b33ecb50d796,
0xce71beaf6d1a2066, 0x05982d236e3699d4, 0x7ef041f65bdd5dfd, 0x92f71df57e10e1df,
0xba9fd98804b12e39, 0x3eb4d11bc6597636, 0x74a95561edce0538, 0x364c98dfe633b663,
0x96331a38044d02d5, 0xea03f85842a6a6e0, 0x7f11713d4acd83df, 0x174cd4862b09b207,
0x9ac99fd99d293746, 0x829088bda918704e, 0x1e25e23ef32adadb, 0xb36ce3bc545c430e,
0xca4dbef135fde2cc, 0x7a09bd725ede630f, 0x0a7653425c86d27c, 0x2fefac3ba6c76189,
0x17f29a0a93b8dca4, 0x087c1e3cdfccc0d3, 0x540dd8131ce016df, 0x34c138326824e27b,
0xfcb24127d7126e93, 0x9700d6148ea2ce82, 0x7c74c39eb552bf19, 0xd3c48f611dc32059,
0x4593316f0c9ae54d, 0xc5e9cf2a76cec102, 0x5031874bb39954ef, 0x6277fc4b66783ff4,
0xf8efc66553113921, 0x922cfa1c2729fc98, 0x87a2bb305b22b9f6, 0x16cc00ce83c32c58,
0x5a0c119889d5b87e, 0x83386168b33d3709, 0x4725a7bf1ce70257, 0x4a69de1c9053da04,
0x5a18c5f56e4ff0c5, 0xb7d5bc335d7fec62, 0xee2842a810e1d7f7, 0xf8029fcb04514984,
0x44097e987d384762, 0x1f670486da26c390, 0x2b21e4e65f6b7249, 0xfa846aee1c1822f3,
0x671bf2cf4ba94153, 0xb1b00cce1f7b6a0a, 0x866874dec139ab19, 0xe1da0d6b89a9a65a,
0x45e8480cd67f43d6, 0x472ae5aa72d8290a, 0xd14fb4eebc9b3f1f, 0x05e2dc745167e7c1,
0x0759c43bb10d7a36, 0x171ced051dc4aeb3, 0x8b8ea8b911fc198b, 0x331b01c9195af0c3,
0x44b0770ae5e09db6, 0xa5f622fc48e91c17, 0xbda14dc3486cc341, 0xc8cee9fb6ecd485b,
0x4140fed8ec6d03d6, 0xa94955e3511aa5d7, 0x0d579b4bf974f83d, 0x7507573ecb8d959d,
0x666fdeacfc793064, 0x6941efa8f1b5ae4e, 0x110daf8ef142d048, 0xd98106b177caeaac,
0xeee1135cc68e8ada, 0x9a9661094c3b8b59, 0xaaaf6f12b3423c40, 0x08ac7d1e1576e043,
0xc03c4ac1712d1d66, 0xc14b5354034d9d1b, 0x9b76dc0dcf104c94, 0x9be1a977cb012a82,
0xc6c1137efe5f27cb, 0x137e94494e276707, 0x877dde2cf9338d7b, 0x518c11d72047a052,
0x99a4649fd1969cae, 0xe12ad8516f5dfe24, 0x5c7b37f89a048969, 0x154226b3f008c0aa,
0x658c164a8eebcc68, 0x4dd70568e89ec7e0, 0x4c4b2929b9a9c007, 0x6159bd57c3704eee,
0xc11792c0c04fc58f, 0x2750e1ec3c5c05ac, 0xa3e8ed0200e723e7, 0x95a8b8b19b536312,
0xe66ffcc92c3f46cd, 0x91c4fd71f7f83e48, 0x4958d79605512469, 0xe2dab1909168da73,
0x206ad23714748082, 0x16864ebb5656fb09, 0xcd681f3f66c33fdd, 0x9f823c45f2484ca8,
0x448cdfde0e625e57, 0xf804766df9c4599a, 0x1aaf20ec9381cc0f, 0x7dc00124d1863e2a,
0xfa1cff77a4bf3270, 0x8a9b34cf02dd3fcc, 0xe73230cf7e5794d1, 0xb4b6d4a7ceeea784,
0xdcde4a7169d825e5, 0x2464e3573aae1d86, 0x4fcf1ec8fa532c0e, 0x894e984daec0e65a,
0x1516b3acdc84f46d, 0x4b5b83c08eccbb45, 0xe9c7852f64a4f99a, 0xc350e55f1a837df7,
0x1e56f15ac7b78181, 0x19088cc08abdac8e, 0x6270f5f100c2fff3, 0xeb9247065be9cff6,
0xedc22969d1c97abb, 0xe96361618325e027, 0x0c72b206cc0738f6, 0x3329aaa4346397a1,
0x8541c9611d60e115, 0xc9c80cbfb4ef3c7c, 0xe9000b60a281ab77, 0x2da579151532c076,
0xbaca9481a2782c62, 0xce6ee589779b618f, 0xd5cb1989340aaba9, 0xc195090afd1670f1,
0x2611c813d09b50d5, 0xdc02ca3b2670ad05, 0xdb5a62ee2cad3f18, 0x883f0994bce4ea50,
0x4638f49f3bb23b52, 0x32c256bf67046a20, 0x29c2aeb570a48f47, 0xcc60711f19e0b32a,
0x1c75d49f6895f302, 0x8b4bf4d57aed92fc, 0x15b2fedab168372d, 0xc814350db17a4e30,
0xfde4daa4722af3f3, 0x6aa6e92f01e9e122, 0x6390e377a5bb073b, 0x2799338a6574e8b9,
0xedd5131cb43fc739, 0x9bdf9b56f2a578d9, 0x150b15947f700c4c, 0x73a15063b16c2cb0,
0x1a29a94672580154, 0x7bf2e8016a8e7037, 0x63d81bd80cf07515, 0xa71c95e84eb71cb3,
0xe0ca1c960020fec9, 0xf4365910240825a7, 0x58d457e1bae55016, 0xea58a44649268fda,
0xc95910b3e9178463, 0x26ca556e98942e1a, 0xd5d9f1db827da3da, 0x9bcd8fbaa47df5c2,
0x5ab9f787c3c0b49e, 0x9459c256614eef41, 0x03d9c4d007717be2, 0xa65e973a6390e838,
0xeef59a8e2c6d0400, 0x5903c0e9b3cfb489, 0x01e63ea530389f56, 0x7c7bd36f7c68056c,
0xede6ca105864a242, 0x12a0924cda935c12, 0xb13fa1ec336f1cc6, 0x3a383db45c2c8df2,
0xc48689e87fe0bb90, 0x3ad354a4e2041fb4, 0xb43005598d6cc969, 0xe88ce9a3b0a7e8a1,
0xc8b24787ac4ad2d4, 0x44cf7f2f67646bb5, 0xe58c5d7a31f11361, 0x2be0271f13e8b84c,
0xd968752ec676c556, 0x2112bedba1fb3fc1, 0x2d138123077fc1b2, 0x6fc0527824c7feb4,
0xc1ed0b5f443eeb16, 0xc779afc4543bb154, 0x7723661541dc816a, 0x1d6e455db4c51246,
0xe3f5923d012b4413, 0x3d31546585916da8, 0x77c15b5d5393499a, 0xf735e16b346dddcc,
0xf350d0d5aaf10353, 0xc2ea2fb3b94dbe71, 0x0653a193e6a96f1c, 0x52f61850bd61acca,
0xef0090312f32250a, 0xade071ff88a7aebc, 0x2c4143590a305d7a, 0x8d44fcd721daa8e7,
0xd926d33088977806, 0x936a1ca7a85e29a9, 0x6d064181ddc15b26, 0x3efb8a39359cc3ae,
0xf092e887ed81d300, 0xb8968b4b8f29e2f0, 0xc6c670166e6d5702, 0x1320e07cc89889f2,
0xa02d12fec9d43f0d, 0xdb249650c1374ec2, 0x38a542341249795d, 0xa2b6cba8e26057ac,
0xf57e5cf5c5431e62, 0x7c6eaaaeeb9d8237, 0xa584ff86a6ef5fa6, 0x38fd0ab720a5f83a,
0x8d09831ac99806c1, 0x810261309bc9e1a2, 0xf2b6c665885111fe, 0x1a2ada0cea61d19d,
0xed66bf575f3d2195, 0x9720b6d0d916383d, 0x1aa3861ce7c3e810, 0x83c63c49056ba786,
0x15509e059afb8423, 0xe27fb0ae655af55b, 0xb9ccc95902017ce9, 0x4b99244a08c8a245,
0x913210b2285dc912, 0x17b2952d51137be5, 0x267165af3028a815, 0x25fc497ba7448a37,
0xa0c438e81e940b3a, 0x239c637315d9e0fc, 0x43cfb0956874407f, 0x4d925bf477e85263,
0x8a59448959e6e14c, 0xdd1bfbdc4170ccb3, 0xb60c94c8b4bd266a, 0xe374b6b5dafdfcd2,
0xafeae0fbd611a889, 0x3a33abd1351447cf, 0x410fd647b3f7f350, 0xd16354bcef59b7b6,
0x3725b51f0ac33c85, 0xc5261224cf7040c6, 0x2d8d2bd90ea31036, 0x6600bed1ee3ed81f,
0xdafd1254f4ad0b9b, 0x4547d4bb47ff955b, 0x92923d77dd27f3cb, 0x3fd86bfd2e6d5d54,
0x3e1370b411e2d71d, 0x12d9f9827a09b233, 0x5c5590c579f8c437, 0x28708dd608f1b261,
0x635d80066dc9f205, 0x7963478b72042708, 0xb5b8fa60abc809a5, 0x17ad37ebe8b3994b,
0x1742aa93c8cb3bac, 0x4ac5c070ddce008f, 0x2084a97f81f6e8b7, 0xb3bb55112cedbef3,
0xc2174a405789a7ee, 0x87f9677d909e4dfc, 0x0b7af2c5df902825, 0xd9a219447a133d35,
0x28fb55da9cf9b883, 0x31a4cc967647484f, 0x3737d752bbfef251, 0xd31d8d7dc645663f,
0xffbba32e24f1f14a, 0x686ed5401a22fdee, 0xde531f96923a7ed4, 0xfcc7b3228e4a95b2,
0x98c7bdaf44a1851b, 0x1f0281277a70c2fa, 0x4107223f6745b389, 0x050305f649a8e72e,
0xc848f30952aea81b, 0x016233fd3524c5bd, 0x56dda3621f0dc8ec, 0xbf7fb461d4ad8321,
0x07f13c5900a2f2c2, 0x5a7e401ce67e2fff, 0x591f29c50a1a6a02, 0xd306aad8556b23b4,
0x1beb83c9a4391776, 0x69878af5ef6b65e5, 0xeba7fc9c9c450800, 0xf66081bb88787c13,
0x4d8928d2473f1e9b, 0x41eefed7adab87fc, 0x96b2d91c7ac490d6, 0x030f0d32712d7200,
0x923da55916ad0675, 0x2abb3c0e7a92e6eb, 0xc983d6951262d7cf, 0x966d29eecfb2a585,
0x807f205a8a263b90, 0x4ab58b3a8888c805, 0x8987eb7da748219e, 0xe24b69cb89abfe2c,
0xc8b1ed3594476d01, 0x9936f86417a376ab, 0xb9a1e220d4c73b5f, 0xaeabdc57301ed215,
0xab93f40d8ee8bcd6, 0x18d57cef8d76c4bc, 0x99ceb630ccb5e003, 0x2bf9a013583d0b91,
0xfecdaf141ba73704, 0x1f1b2727fc548fad, 0x49927d8a552c698d, 0x0e964d3810d60b8a,
0xf6f22eb5d55407b1, 0x521ca44e9e6f8141, 0x36b72da00c7ac3d2, 0x08bcc8ddbcb8b0ac,
0x82adce5f095be780, 0x347d5557d97303c6, 0x809fdb82eb872ae3, 0x32542bb150a4c6e6,
0x94af1390dbd6e6cf, 0xe17b6fc1806c6651, 0x201e35edb4c9506e, 0x2f290f0de69e6bc6,
0xe4138a63f6c01e17, 0xfbd906a46f6424e8, 0xc7aba38db2f28da4, 0xc8ecf19cbcefb769,
0xb6a8533d9c7744ac, 0xc2f45bdc87c66b40, 0xe3a786221187073e, 0x1a2e332fe1f49af2,
0x5c8b724d22463cae, 0xef903c277473111d, 0x2ecfaa108f04eaa6, 0x64021e3fe0bea4ac,
0x7d9b195fe3f0016a, 0x8349a989cba17e6a, 0x778fa84eb9848b79, 0x7d5b0910a0d1daa5,
0x099a5a3ed46d0e2c, 0x7605ebaf3b98adf4, 0x44b6712f212e4a0e, 0x7256a2cc104ed9c2,
0xcab2a696e71328f4, 0x52773cec651b38b8, 0x0c5b020e58a0e705, 0x71739ab7c3e5dd4c,
0x04bc54f524015657, 0xd80c97aabd974030, 0xfbe0803ba7213b44, 0x885347f8e756d3e7,
0x7170ddc4ddd41bf2, 0x9f875418829c1f40, 0x320215bf9ca5bd79, 0xf00d3dcfebb21285,
0xc19c84689053c550, 0xfac80461c1d7f9db, 0xddfc1cf206524809, 0x1caf44508e360343,
0x1eedc25b6b3b8be1, 0xf91e79c23c591682, 0x8869c24e0574f9c6, 0x84fbba5733bf4eca,
0xd3ec6e3a79017943, 0x5ac275cee135b8eb, 0x230f3fd1279ed028, 0x7796111faba4ce12,
0x1c1a08bcd43f1973, 0x88732d942367ab21, 0x01e6f6fa5f065f47, 0xee45eace122d031d,
0x9c017c86b13f1199, 0xabba94829fab9987, 0x6905db2612d71133, 0xfbc7990ae35b5ebd,
0xe093a488d0fd85e0, 0x4a5dd52368442e8d, 0x6cfa40e05cb5cebe, 0xfcc30f2ecc5cdfe4,
0x0aad2f4ba54db069, 0x851eee93183f0058, 0x5674ba1c578d3256, 0x8b3cdf56eeedecf6,
0x5f34f5352d13953e, 0x9cc34c071ed95111, 0x77cff4d3730fb35e, 0xdab386c79085f993,
0x0233e4294e5086ef, 0x62f3b2288f05f9a1, 0x2eb73f21143c6de0, 0x95714b93854269ac,
0xd73eef81cb898ebf, 0xffcf1caa79c9e22e, 0x5c58fbade23d6815, 0x5f04ead32e992f7a,
0x3d590ea15506cf9a, 0x5c921b706621a15f, 0x92fc778ecf6cf59c, 0xff4dbb69f3f7c5d8,
0xee275cc8270da58e, 0xb5989ebd08fc22c1, 0xa380338ab1fc4cbc, 0xc27c6ee4fae33d41,
0x63c3e130e2fcad53, 0x8eb819f33fe7bcbe, 0xd7c6dd9b08dc828a, 0x86d6febb7ae12048,
0xbcc2c09dfffa0bc1, 0x6d231c8beb49ad65, 0x6e21db7410e88407, 0xdbc4375428836d04,
0x54b5c871999ddb8d, 0x98847b5cf87371c1, 0x350048d90c58464a, 0xcd88b06d02f97620,
0x6529d1fca6eac1f2, 0x059eeecec8cb2dfb, 0x41d91847932b05e1, 0x1e7157e1b2cdcef4,
0xcb20c89fe11fed06, 0x9958e95c96c58c22, 0xcc88b21dc1fb1691, 0xe02419263109b22b,
0x63dd28130256f643, 0x476760144540adb9, 0x5c5aa45ca95a6dc0, 0x36d60de6a2ebae85,
0x8ea0e21e999aeef6, 0x33cde8655659711c, 0xa09a6098a27fd968, 0x586793c00628217d,
0x98e2c995100db5dc, 0xf4f6605b0c4d444b, 0x988c39da3f8866c4, 0x8708f33ea531970b,
0xd9dd50d2c09fe1a7, 0x64593f962e50f5e2, 0xcdd32fa1e8f5498b, 0xe1f05064b245f00b,
0x8c61c608aa8291dc, 0x3bfc23d4e79e2638, 0xa17cdcad16680907, 0xbf464ad0f058ab30,
0x97d38fe2519ccf5a, 0xa83defa9c0ab9691, 0x2a469a3ee422824b, 0x6d62b0ae6b395270,
0xe3adb450f2d9eb6b, 0x24c8819d67bea704, 0x6a1d3b214030d765, 0x2a1ceffbbff67252,
0x6f2a0ffde3ddbd5f, 0x108131b0fe3d544e, 0x72e55493d522e42a, 0x51ce07e48936a2e5,
0xb2fce667b21b5f96, 0x05ef35e3844a5334, 0x0ca52cd5eb3e98b7, 0x2ea9445011d02927,
0x682d9bff42223dac, 0x9ab62eead52d669a, 0xa71bfefdf7253405, 0x4e1c99333977644c,
0xd6b72acff8c6d81d, 0x71695a880b0c5ce0, 0xdd8d32c5f1abe8ad, 0x73ac774faf7f7a5b,
0xba2bb0ac26556d2c, 0x6a8cdefc90555f9e, 0xdab29491a40ab6da, 0x0632fc8aabcaabdf,
0xd8918803e880fa06, 0xdc937dc4ab6f44e5, 0xb5d82efd01e65f80, 0x7f95393feb9b8660,
0x4c5bad032cc2623f, 0x9a030c322d633a3b, 0x984e84086b79be3b, 0x5e2c1780eb388af4,
0xa4d41e7fe5893be9, 0x7c249587365effc5, 0x5d3ee45dad75375b, 0x510abe8f0e5fb860,
0x6d04173f67c4c29c, 0x42f0d659eae864aa, 0x4decd9d561108165, 0xee4f43427e1a9429,
0x4927700ce0db95c2, 0x67784819a4540612, 0xfeba597d843be1f9, 0xc7936293f68aace5,
0xe96d9272c9f96973, 0x20fd99c1bea43974, 0x67d1c6f8a8bf3a48, 0x10e6a50579651104,
0x9cf2623c1a97e865, 0x0fba96c5f7d4475e, 0x8d963b9baa6bd223, 0xd8a882157909cfb6,
0x97a217a4714d5fcc, 0xe7cededc7cbbe7d8, 0x539e4f876a685fe2, 0x5bf162fe44c20d78,
0x8c1c7e2d8f3a35cc, 0x165798ef2d27c906, 0x8ff0ac3d0baea43d, 0x15c6574c6634b946,
0x8030d54f34e176fd, 0x4cd867028f0a841e, 0x4856fd154d228b15, 0xb23b9d24a8f01d3f,
0xcc3dc30c0f926156, 0xca9a3d3e69c977a1, 0x9278c6bc92b0c072, 0xb825e59d380aecac,
0xfc853abf77796adf, 0x576d6f8a66dc0758, 0x1ce36d41d4c04fff, 0xfb795f91b155b44f,
0x324ef6a30c9d33c9, 0x3eea5f01cab7def9, 0xc20cfacfdac4f956, 0x6f333838edc580fd,
0x8320bec2fb4ac89e, 0x1c21f074d8bcae96, 0xe861e816c5b2c8ae, 0xb720642b9de41d7e,
0xfc80b9a54b1c6500, 0x71e0a04d538a944c, 0x22fab65c9968a861, 0x676693e907111a66,
0x63e6ae888168b7d6, 0x62199b5cc8459a70, 0x832c36acbee483d3, 0x5f7f4cd3ac7a3d01,
0xb0743b49557e31a8, 0x5a9248e7693808ee, 0xfcb6c30892c2fcdf, 0x470d861e9bc6ab17,
0x09ba01bd0bcaae85, 0xa9662f2750be63db, 0xec39f037c87cc532, 0x278c7a9e11299954,
0xaf2bb95712fd1dd0, 0xaae4ec68a753c9b9, 0xbd6debf0d0227fde, 0x9735e7f65b2a5bf6,
0xc53467e1869f2c5f, 0x8d3d61840239c44c, 0x02c253599c8c0d02, 0xca3a62e38b8cba89,
0xbb7f2865d464df84, 0x303c156b635ccab7, 0xcfce0b2fa7ec7537, 0x7541c60dc645b46d,
0xe287edf8277deada, 0x39cfe221e9623cfb, 0xe6f15ee7e8b64dc5, 0x65e37075223bd467,
0x00191bd826560028, 0x66d2fa787ea37b13, 0x2ccdec590a32f4c7, 0xbaf230752dbf5d2a,
0x132c05c75c73d62c, 0xc61e235e193dc690, 0xd2c06c30b10cf51b, 0x5c09ed6813408ca9,
0xd0296a6a8e3d17ea, 0x3d16c66e5901acee, 0xdfdbd806d49e79bf, 0x4e587159a360a03a,
0x7dd099b6394c1687, 0x62a5371f46b6e907, 0x24f0f7c0a3fa8e4a, 0xc8c4de8477c6ae0a,
0xbf61ec7e94bfcfe5, 0xd853e18da1ba7535, 0x4690d41e01470cbd, 0xe0859ba0a234387e,
0x4fbab772cca40a06, 0x91c208b6eaeb0b29, 0x77ccc1604608ef6a, 0xfab204f7d65eba9b,
0xca3f50775a343ed4, 0x9d5a0d35af2c6151, 0xea85884931f8c2ac, 0xc2461abc3f36528b,
0xbad58007f5f8d39c, 0xb3a1e6fe12e389d5, 0x018c7201e88fbbe6, 0x210edddd14f0990c,
0x90479d181530756c, 0x472027681e9299c7, 0xa72cfc66442a2361, 0xc9ddf56011519d6d,
0x2eb1da33d744b97f, 0xed00a9a951fc2263, 0xb05d5cf9f8039f67, 0x139a3d74b7f6c641,
0x9023f62b9104ce76, 0x01e76897301b5e2a, 0x9258b7c567d2f3fc, 0xac3df1ea5c4d45a7,
0x962dc580f6522299, 0x6211d2df146ec64e, 0xa0a30db54e6c3f78, 0xc64a50eed26aab06,
0x2d5f8cde168ff719, 0xc3f603b25b0d7afb, 0x6a77564d98310a4f, 0x629bfaca7270632e,
0xe8510b8f0ac97bbe, 0xaaa524dc61ee914b, 0x3f92dbe8cc3a23cf, 0x5904a527491ecc0b,
0xdec0a8a62f37d4db, 0xd7d023142ed7fec6, 0x487d75f8fa050e1a, 0xb48b067dbae39218,
0x4ae1e33dbfad74eb, 0x180a1e74ea443245, 0xee6d3e405cf468d7, 0x63b2a55750f19e8d,
0x6bdcfcf084966d3f, 0x8f4bc9d05b08737f, 0x4c073bddaaafd5e9, 0xb8c7d0e3fff78405,
0x263d4c6ab8f48525, 0x5c1a61e91536984d, 0xae6c615039505adc, 0x1466872a983a7714,
0x64afb867a9b983ab, 0x6028ce99ea980ec8, 0x1bde4233183a1ea3, 0x137084c619b97579,
0x2b5f319849d27ddc, 0x5246cb181bae6792, 0x6c4d680ff2231aa6, 0x400569aded8de516,
0x167ddb8fafcc58af, 0xddfcba2e8e65a9aa, 0xb621d82f7f7e53f0, 0xdea72947a771dbd5,
0xb2d295b4603663d7, 0x2ac89daf6c8bc32b, 0xc3df2d217893d5c7, 0x1ec52f38416acb02,
0xf9622a5a56da178a, 0x669e587f735963fe, 0x685a785f7acb8fca, 0x202b9f331db7293c,
0x42dcc7afa1cc2c43, 0x9384aeae398f001d, 0x26e51059e3a8d962, 0x034ed2ccf1b040d4,
0x49d00e77bee4bd76, 0xf6788c4a203471ef, 0x682b4b63c110e26e, 0xcb13003456a4b36b,
0xdd20575c392f8a1f, 0x8ab3e9ba528a7d74, 0x27b09b5be903e0c8, 0xaa901b2ca5da7521,
0x239b33b728f8ae54, 0xc44df91f338b5dfe, 0x9e1195bb30d03383, 0x7c60460a98bf637b,
0x8101f042107e0df5, 0xd7839071462897a3, 0xbe8f3e7dee8c1c69, 0x90ec2174b5d6f6d5,
0x5bf627049e30447f, 0xd4b71b12a7853826, 0x9e3a92aaf5a6ffaa, 0x589362bb652a86c1,
0x3cfaed1b97bb01d0, 0x5c1a3f47d2c5a619, 0x84903fb44aa2a1d1, 0x8575fcf52cf99edd,
0x920f27f9d8352ac8, 0x2cc587f3ed81aa38, 0xc8da15c9fb440a80, 0x1f9eea62486b957f,
0x16c05590043e2ab9, 0xfa44514256abeb5a, 0xfc148b2b684fadd8, 0x67adb7e0018dc9a2,
0x3f75a9b2319702d7, 0x748d7166a86cc1e6, 0xf1ea257cb198ccb2, 0x9d2f20e3959f1e79,
0x0054a40329b34730, 0xf2800309dc4e5622, 0x3e5efd3e65a5670b, 0x3c9f7090ca02f906,
0x5b3ba8915cc6fa4f, 0x7e9b90e39b3e7f5e, 0xe222341ea4f47b41, 0x999ff3f0ecf13e1f,
0x7086b48e29d67a40, 0x52a55f492fca67c2, 0xba4a26c8d510e50e, 0x21aa75516560e1ae,
0x2eb0ae3919d22152, 0xf8f5bf1573837c2c, 0x15b9af0ea1a025dc, 0xf4b2553022db0607,
0xe0efd93b932d708e, 0xf38683b9ff44e66b, 0xa2b16328bd778d98, 0x1286d5c537322926,
0x39f0875be9b90433, 0xe0065196cbd861f8, 0x12ee2c7945594680, 0x04e351d73c57dafb,
0xa602a2723d74c0d1, 0x10267cfc16cfcad5, 0x77e95f28753ce94e, 0x1b4cfe9b64a42517,
0x9b33589539094cb4, 0xf71f061f8058b246, 0x07e67f3e88ea84ea, 0x9573646d5946bb6e,
0x17e528ac2200925e, 0x35f3e14e561df567, 0x5760cd7754e245c5, 0x1425f2772d978c75,
0x1850be44e441f0f5, 0x2ae79541527b250e, 0x90347b425a8f1052, 0x54b483d6bf51c177,
0x4a3bc6ef5ddec0b0, 0xb382c256b787afdb, 0x14fdb142c1d8c7fe, 0x9645b592804b65e4,
0x6674748dd3ce6371, 0xc8db18f5d85173fd, 0x43e5895ecb320d01, 0xde27a22f2adc7829,
0x8a6fa8434065a973, 0xc694f46c9e42eefc, 0x03f5153b4f8d03b5, 0xb2920a7ab09b7360,
0xac6c0d89aa3375ba, 0xce1357c6de141be8, 0x7a92fb3a5afbe316, 0xb9c06c6748f99f7e,
0xe2f698dc9466a600, 0xf75fe203aa885410, 0x12f15e085d1c30c5, 0xb0035ae1b35d19ce,
0x2c9840987fea1dbd, 0x21c87b8c474a53ff, 0x92ad540d46c589e5, 0x5aacd3d96d98883f,
0xe58926ac3065c818, 0x65fcd82b582c6f77, 0xc828a1bc6aba4ea6, 0xb5937c157934e50a,
0x1f51624944107f42, 0x7a413edaa22c3a85, 0xfc5d19c3b4aa7d4c, 0x2c8da632b5b3eaf0,
0x5c8f0d81aa8ae557, 0x154bf81d72b9ee32, 0x423549e63786d4ef, 0xb87e6e325f6c9417,
0xaef530bda2cf9b4f, 0xda5f2b0074a7242e, 0x6c63e852447c1bde, 0x4679f10571b2bd70,
0xe54f0616875c662f, 0x1dd0d135386c8165, 0xcd891538eee7d346, 0x1a477b4f503baead,
0xef891c04184f8c08, 0x8ba7fbdcb0479886, 0xeec534d83ed32f8a, 0x7511b67bade8400c,
0x258173e0f30e4704, 0xf53eddc6b65be135, 0x1b6701d7b37a938b, 0x7905f1a68684ffa2,
0xdf4c94f28214991b, 0x1b906c64f1e4068c, 0x38c60fa25ebd9358, 0x5638db78c5a9c639,
0x5b9cc2830ec95591, 0x7a51120987d1e1e0, 0xebf7cd8bc200a822, 0x8c62f16c5ad42350,
0xd94902922c304a92, 0xf9b62471a63d738d, 0x6278514fe601ba6c, 0x8273c1b119848464,
0x59145705ce3a90c0, 0x0863d89499fcf355, 0xfdb429b3f8db3a0a, 0x10e8ddd36729de8e,
0xc335a2416dbeefaa, 0xf93b90345c4f43ef, 0x702bf5af66c16ae0, 0x9eab7cc8dbb3935f,
0x5b5f39c499107bff, 0x64799ccfedfa4650, 0x34d72ab4860d94ee, 0x1e3339515d75d17a,
0xf2d4d2d9bfde7356, 0xadb902f957c6ce9e, 0xf154cc1d9498d24d, 0x1303f7307c59f4b5,
0x3d3bdc611bd563a9, 0xbb19c5d5934df6e5, 0x45a4911ce13230c2, 0xf4100ebffbdc57dc,
0x04ec224cf196e56d, 0x535b02eb0bf77f22, 0x901721d87104d044, 0x7a842f8ad299a021,
0x75284dae9d85ac72, 0xe542e5e7d76499ab, 0xfa67b257d4db06b1, 0x9d31845ddee320ff,
0x855695a549621583, 0x71bd9794d93a49c6, 0xf7340618a60ed56d, 0x0eff348916c1e55e,
0xbb80beeb5410cabe, 0xb065dd40238c949f, 0x8a89ad1b1c1288bf, 0xa64b79c5229c2c51,
0xb864d86ce4539341, 0x1b17265b84dd4394, 0xe885a18c15628ddc, 0x3b5b39aac67d0e9b,
0xe0f520881827bdb3, 0x659f3e0aadb1b62b, 0xf4d3215e317da4f9, 0xda02faa30f9fa8af,
0xbb2cd5b70229472e, 0x657524e70fa4d6d9, 0xd153b6ee270b3f01, 0xeec0ae8a56104baa,
0x327524cec63a8092, 0xcbe599f59941996a, 0x82e3ea97233c32a7, 0x6e4f016fdb703fc8,
0x2c16712cfeb8e2b4, 0x007ec1be449b999c, 0x4f645df0a1a66d79, 0x7be0d9df08a59ab0,
0xd73b4049650fae43, 0x98175c902b054038, 0x90fe7aa8f07242f6, 0x2278f1a2a6160c4e,
0xd9f42f837eb9ffd8, 0x40591660a9667517, 0x82bd841ef3d255d3, 0x38e4a240812d5d4f,
0xc88fdcab342f8f73, 0xc7398ac206b2d0d7, 0x5fa6c929f8603890, 0xe1aaab335676b822,
0x9db00ce94c3bbe47, 0x149c8a8ce25f2023, 0x8965cece4bb7aead, 0x2c6ef954f2691f66,
0x277d0c3c488d034e, 0x013b65cd5ae9041d, 0xf29855129295054d, 0xa1ce2458a684f80b,
0xfa1f3c969966a1aa, 0x8f71a932834b29c4, 0x81d0c412683ae646, 0x0b7758a483af85db,
0x05e7c69a32fd38ee, 0xf126b4a0a385d230, 0x9409a460ebb589b4, 0x636e82e234ae43d7,
0x82dd9ff981b5d96f, 0x4d91221e227d5795, 0x507155e1d597c644, 0x6cd826044733ee90,
0x2baf2543a4b383db, 0xd5744195291c7203, 0x137a52aba94e7efe, 0x55ef259f455e95fa,
0x26303478bde0b1ca, 0x1ef6f19b252ee589, 0x43614fb619f4a2b7, 0x5b8f728248511201,
0x46274c7ca07da664, 0x6caaf0c009c97348, 0x21fe354e60d9e2fe, 0xf3a79f114a28e927,
0x8c7b2363d408236c, 0xb3631ed744dfd4db, 0x2df81911b998572d, 0x267aeb4158424a55,
0x6c1a9d2f4b315643, 0x240454c46dc7c52c, 0xeea02b5e11001c49, 0xc823415254f3f948,
0xd9b944649c0a8e8f, 0x433a15ad7254ab87, 0xb81b23c9a7e1cfd9, 0xc135073100e8f189,
0x7a273e7519762474, 0xb55194d4b382bee1, 0x830d3ebbd46115e5, 0xca9207c5275147c4,
0x61ead232637093ca, 0x9e8860c5bcadb459, 0x1f694881cc0b5ffe, 0x617d4c9d2093941f,
0xa63c48fdb350dc1d, 0x2d986565560a3efe, 0xe23cae26f65ba98e, 0xf419b5bf2ae46568,
0x10f2053153a2ed44, 0x884797e2a94c7620, 0x62f3f88689a0e5f7, 0x79d78a5af9e66011,
0x893d687e9883b617, 0x58863c2f53491584, 0xd70902209e0a684f, 0x9bd3440f30bb7f5a,
0x085cda42b6e75c94, 0xe0d67bb5f5a6f567, 0xf1ce7ce19540d0c2, 0x5a8db6ef336f6f87,
0xfe01c1f2b957c41c, 0x15400e32858dd78b, 0x6b369c9b233a9b44, 0xbb311bfb3f2a739d,
0xac95f7fd1e2f5acd, 0xffc103403004607b, 0x5cf5886bb9a166ad, 0x8b8652fbfb2098c9,
0x81462ed7c0fd5f70, 0xf95e5cec6001d828, 0x8f181b66c1619a4f, 0x3076ca51f3aaf38f,
0x3407b6de5a8f3d5f, 0x931ccd8d6bf40803, 0x47dbb5ec652d1e7f, 0xfb627469f3fe317b,
0x449306112092638b, 0x54636bc2c9d1ca6f, 0x8d1c2dc8bed72888, 0x2acbe90f08f1b870,
0xaec3c9c87fe503e2, 0x03242b7ed3b7f2ad, 0x6e1b9354e353fbea, 0xbb1f06175cd8f84b,
0xfc477a485e66388c, 0x20dff23b4ba94a81, 0x7e1055c3d104dfc2, 0x687ee6b30aaa866e,
0x5b7c99dd972c46d9, 0xf27d76e6a4844f8b, 0x40f756542438f0f7, 0x14cea037d4444eec,
0xb3d22ebcd74f16a6, 0x573a3c8084c9e206, 0x7a9f640dfcf2494f, 0x8fa52ce262841958,
0x7f6303258a83f0ef, 0x94b12b2ee8076336, 0x5ed50372a4862055, 0xe569b603158a3743,
0x8912a2edeb93326d, 0x5226ebc15fea282b, 0x81a02d2d37f40ed5, 0xd3c3d79ae09dda77,
0x0682b6aaf9882c30, 0x2a9fa81cd669e10e, 0x5b63582c5109a602, 0xe96179aa545d77ab,
0x144f4fdb1b273033, 0xf4414167c7e6c623, 0xd506a64d6e715fa0, 0x2b375347f53db2d1,
0xfcad4e913d566396, 0x9895479c3f36e6e7, 0x3856782ac89f5ff1, 0x4b1cc042725174f3,
0xe02d2c940f420776, 0xcb6e96f97d87233b, 0xc0d86a6f563e75a8, 0x94afa2ae948fb45f,
0xc96ec5bfee3158d3, 0x121e79c3a047f623, 0x78cd1d22c5affda5, 0x22340214e770b339,
0xa93de594111248de, 0xc027965f0a8e0ee8, 0xa0b4cba44614eb5a, 0x791d6b3dc70e183a,
0x8939846cab683102, 0x88d8b2f4dfaceb02, 0x808fa981df8f565b, 0x5c703f69c4f11d70,
0x50dc549197d2dd01, 0x738907194f41c458, 0xd358152d35bf39f3, 0xd7df61065c7c7687,
0x2ad1ea25e9150244, 0xb41954e82e3ce893, 0xd7eda3a2925d4af0, 0x85283c40dc88cf5d,
0x8aef1f337f7e747c, 0x2996f94dbe63a81d, 0x7433b18e9494e5e1, 0x6e5263c3d1aa4244,
0xccccd67d1ef73f16, 0x7a2ea4659603734d, 0xea98ba4ac4240094, 0x3df0eb501b02b971,
0x02402b37f6d6e2a9, 0xfa8f08d60f245605, 0xb317085fee3fbfc8, 0x309cc8680d99e2a9,
0x8da0d2c08d600c8a, 0x1abbc6923377248c, 0x0435825f53d2d2b1, 0xd9fcb1c5cae04350,
0x173cbf10cf117044, 0x1569f7a19a006c66, 0x92fa264103c7c082, 0xf576b231f45fc211,
0x4afb44d6e1fb3a9b, 0x232ee2b2a4915522, 0x63182a94cbc83c51, 0x67f8b806f9aabe3d,
0xb82807965c57337f, 0x97ba0fac2e6025c8, 0x5f56c5490df9b7bd, 0x9b5821aefaaaa1ec,
0x18c5c8ec4f9690c1, 0x6fd2c1e1d9301747, 0x984151c8044a03eb, 0x1cd8de31ccbf66aa,
0xf244be03330373d3, 0xeb0f4ca97427bdfa, 0x253463caf56af7c7, 0x41192cf32f4b0488,
0x5de4b902f5a93946, 0xb6397b02e91a7144, 0x749d302e14c79352, 0x9de28617439db971,
0xf5cb93a751af04bd, 0x43541d2a9f3a3345, 0xd53f539dab61747f, 0x889351b692152e48,
0x5ceb39c0c664980a, 0x66701f0cfa7d0f9d, 0x458b2806e815e32d, 0xd9b314f1344f131d,
0xd42ddad5c3b7790b, 0xd5bf9e3ffc554f80, 0xe334bc9a34aac68c, 0xf83c092c90e79d79,
0xab700f3851cb0e7a, 0xd50cf0da33081223, 0xb2095c1b6222d710, 0x9fd7758d736eaf02,
0xccc54d6c789f27a1, 0xfa1d132ed500c76b, 0x5af57cb79e542a5a, 0xea2dad9c681995a8,
0x1152fd728fdaf428, 0x1933d15b370017ce, 0x0c3b8713b3de4524, 0xb6636253c068bc90,
0x393b4ab1cde3d4f0, 0x9b0ff94658d55fc5, 0xdb74ed2c7e83bff0, 0x825e17aacbe3fd9c,
0x861e4a10df4a440e, 0x274a42f793ac0aaf, 0x1f896be08b02ae79, 0xad04e0dd5ce3d29b,
0x21cc491071c39b0e, 0x7208411acd3ebfac, 0x3c0ade46c3dbd92e, 0x3b4fe1e5e8054ba4,
0x052fab6e6d4e59cb, 0x10e73df4eb1b9339, 0xce9ac8bfc7ea5fc9, 0xb84195f2d80f2543,
0x666c8b50d1ba647f, 0xe4bc07a528a934b9, 0xcfa2dee3802b1354, 0x7a3bda566e93911e,
0x02fefa36b7d97d77, 0xad7bd60872af58e0, 0xaf0c12a50af73f72, 0x97136c831016da47,
0x1f54d98a46137105, 0x6385f1b63f8d5549, 0xdeaf3362594b0e7d, 0xe6fa4ac541a86280,
0x3d96fa62d610220e, 0xfb06eb2ea51580ac, 0x1b8b0411312bde3d, 0x3536721293601765,
0x2199d17c542d0491, 0x086842fbb1368f10, 0xf55e0cdd1f39a30c, 0x724100a738703a25,
0xe3eb3d1bdcc0a70a, 0x4cdde3f643b0f55f, 0xa524e7f0c4712762, 0xa85ba63a01d0b9d7,
0x59d64b5252374820, 0xb520e3d036a95465, 0x8e2e1ccc8b315067, 0x2ce3e151a791a5dd,
0x8b2fce0296dabedb, 0x44a0d86a0090a043, 0x8b5df9d21b256ff8, 0x6fa5b7284b5f3b07,
0xb9f448d4408f663e, 0x21cf7d90ee4ff1ae, 0x2b41ca8e8c9b15c4, 0x7ada58f55afdf730,
0xe9eb4fbab2e055c6, 0x5ba19c53e98d7fd4, 0x9219a65c80e1225c, 0xd851f26e21f16c00,
0xb73d37eb3ab42b39, 0x9c75727ddd218189, 0x027a111cf1c205f3, 0x0bd471c980fa0cde,
0x7324331e708c6e02, 0x88cb30b6ca3c5d56, 0xd2eaeb728a4183f0, 0xf8ed98253559aae7,
0xfbf90ae24fe2ee1e, 0xa0f4f24f25304eb2, 0xc0e532cca01cdac8, 0xf2689535f1bb5af7,
0xd2de06b033646bd3, 0xdae72894c62c8a1b, 0xeb537a60ca207b10, 0xb622581fdb02a435,
0x868d02c3edd440aa, 0x96cd99ffe685fa4a, 0xb909e7c9d944e4f4, 0xe4c0d22238d9252d,
0x4dea9df25c757b3e, 0x172673fc8e86eb1e, 0x5c3b1ff6ef436727, 0x5a678d066cee6f9a,
0xd95d1e42832e012d, 0x80a1a9cd4ceafec7, 0x32966bd8b6d43c7f, 0x0b9037c79e9dd795,
0x96a1015d3ffdd53a, 0x6268c3fb9d2137e7, 0x1cdea59c19d05e43, 0x1b05c6b4f3b3a967,
0x8de1cc4c51b1c6d7, 0x6fb6aa624499d398, 0x033d2ffeb0e921ef, 0xa74979025fa5cd2d,
0xfbbf24f65411ca75, 0xcceae9ec139d0c6a, 0xda0665323e453a4f, 0x9ca1317df18c55d0,
0xcf293e4d9271341a, 0x66804893acd75220, 0x3ddbcf577730243d, 0x356201b348c51a2b,
0xb950894fa89bcaef, 0x2c7b1a76503ee1ea, 0xf26e19f03fa8d7ec, 0xdeb0f4e8c2c3f6b8,
0x218fd2169c416c5e, 0x0c2688841e16234b, 0x7bb732b75c9d240c, 0x009e7ad17423c7d6,
0xa333ffa14bafdbaf, 0x85deed97ab497b48, 0x785247cf054e63a9, 0xe5ea0a98e922e2ad,
0x848e65940ab1608b, 0xa826472b0a57b5df, 0x4308a118f32331d0, 0x40bfbc8aaa6ab3b6,
0x57eafd96577cc875, 0x9c51087a194407ab, 0x2c70a410e228885a, 0x374c5c65c4fa9436,
0x987bf35cd2f37241, 0x4e1e29f7cd0b1c0a, 0x8ed57f7bc704f9a2, 0x246d82f53542725f,
0x8d9c9329430e4e3c, 0x4517e387fd4ba9c4, 0x24f238d17e54c8ea, 0xa833b9f01d9f3cec,
0x98e9e4dcca156860, 0xfbbf911efd27e7d0, 0xa61dfdf093b7267b, 0x71ef96d8bfd4fc56,
0x534d0941a9749043, 0xa2fc80e3957df85c, 0xdce4809338ba0b27, 0x96733b13958a6a98,
0x1515c3a3e5ec6678, 0x76475102a6e6a382, 0xbd65032a734954a2, 0x6b2bf26209d3d461,
0x55b8312a516340d0, 0xb40638dd0c824f20, 0x9a9d13f6bacdade7, 0x38ee4ce9cf91ebea,
0xa3b46b8e8e16063b, 0x381bd493d0135286, 0x05c43fa2ab42cf7e, 0x5a0f643bb5c4b23c,
0xb8e4d0f3d9af3031, 0x10f4e23e26c6d6ff, 0xa8f3bc02e249bf67, 0x0617ee244efb0d3c,
0xe1bd0acd083d3ab3, 0x68c4cb0a6096d017, 0xaa7ef58e468fff4c, 0x162429da480351c1,
0xd27b077798c56b93, 0x034f3a2541d02fc8, 0xfd0b91bbebacefe9, 0x516b0275280f33dd,
0xff502f62cdd3347c, 0x649acaf6d34486c4, 0xd9fdbc8985332e5c, 0xb4c3983dcc53b60f,
0x24fde3ececa0a64f, 0xe6411de26fdffdf2, 0x0a284f1c3c7c87f7, 0xda7df903e5a31381,
0x80f8e52c2c348130, 0xdf8ca81fda5438fe, 0x3034475646f847b3, 0x5a2e3e4d2e72d851,
0x9ad5d7834672945f, 0x68187f984ff6601c, 0xebbf9d7c6f601688, 0x835bf4b474e52317,
0x1cf1cd5c7e1592fd, 0xd0264875a1ef5914, 0x50d13fe656a9a65b, 0x88315a08a7a9bc0d,
0xfef795a3e399e164, 0xbc66d59ebded82b5, 0x4705706128157913, 0xe3d36cfda0338592,
0x816a614718dbe31c, 0xcfd0f5da4040f1cc, 0xf0e48ab9f135ccd9, 0x6089a225ac961d50,
0x717ed1cb8a31eb57, 0x0719978575e02008, 0x5dc0099e12028718, 0xfec4e48e30fce0c3,
0xd8598df282864a50, 0xe6917d204a61cac2, 0x6ee04744efc0a109, 0xb9c568997ec2e7ac,
0x8157337dea2696ef, 0xf2382785ab8e844a, 0x0e7d138547340712, 0x53c0a964c8f695b0,
0x4b2a07217f55dbc0, 0xba81997911bdb57a, 0x14c1724385b3ee55, 0xcfa7fbe4e6ea68fb,
0xf58cb3f615bfb6e7, 0x536211d90ac18715, 0xa0aa2196821e9105, 0xe43c7a8f0f2d2f66,
0xcea4749cb3493c68, 0x3c519d60f14bc378, 0x625615c48e75184c, 0x2b97defc0038c71f,
0xa5f674bf87bb0689, 0xad74cdbced6cc23c, 0x5e37d6db1c36b4a9, 0x87ae6ee11c55f1ef,
0x1a7080365b6f660b, 0x7ffa9ae86b3393c7, 0x89e0094d5179004f, 0x6762096b6c020050,
0x26e74ce68f776dc6, 0xfea5d61b8ca39718, 0x2435925b416802d9, 0x3ed2b1a778c52581,
0x215362707b000d9f, 0x5c1199fcd7950a2e, 0x86ea933c7eed563b, 0xa283a0a109824898,
0xce9749f223fa2d8a, 0xd0ed461fd92f7870, 0x2302ce198617a819, 0xe837580f3607e3c2,
0xb2f89a91f26d0ddf, 0x2ca0c30e626a7022, 0x342054f2f310f3ee, 0x24e805ddb123c620,
0xfe141088dbaaaf36, 0x3ab53506b017da5b, 0xff21cec90a2628a4, 0xf48bf1b049339734,
0x5940716ad9752465, 0x67868406cce0a673, 0xe4058b4ecbfc5c95, 0x5af7babc7e6599cf,
0x694914d46216e919, 0xe81e1d77f9e99302, 0x0600656063a7efe9, 0x24ed2753dd3e7cb7,
0xb8fc6c5e14f3dd93, 0x8d7b7e470f27f865, 0xbadd150a4b804ff1, 0xde584745d72b71c7,
0xcdb625248a3adb6c, 0x411982dd0dc5baec, 0x0859b74cb4eb1400, 0x44e89fbcfc06fb30,
0x1327169c8bebfc36, 0x141604a1d480815a, 0x5062d3d193397f45, 0x5863e87a3388930c,
0x46bb8e08f57a646c, 0xb78b8ad506373f94, 0xcbe4ff549cc1fcf5, 0x3306b628d44bbcc6,
0xe567c7e01062ef5c, 0x81dc47adefd60baf, 0xe120663b7613bb35, 0x04a423aec9374864,
0x1098eaa7d4ef3452, 0xe1bc2962fdc226b9, 0xa50fbd2669e5e890, 0x8d9886428ebb380c,
0x45480d115286226d, 0x6beecc9fe7e8b5e3, 0x15fb2be14eccf081, 0xd13cfb44c747327f,
0x0942457879c35a00, 0x7fba7287dc1e27dc, 0x5d26576f0a913d96, 0x9b1222b33597ff4b,
0xe36713efd0b042fd, 0xbec94ccee5b452be, 0x45e5f4e913a26b35, 0xfe3f3aa2d49752b2,
0x9fdd539f44535375, 0x42b0a298336ad01b, 0x399f56deb4f0e8f5, 0x7bf811dd67775d90,
0xfbedf06cb050247b, 0x9488435e56faeb4f, 0xbe087abdc98f811e, 0xc53a6b5e9d59e6ad,
0xc57b40704379b2b1, 0xbd3405c6f24fc071, 0x8ff8049195b29686, 0x51452598df604aa4,
0x69897907e7e99a7d, 0x59b2a44ea560fee5, 0xc53d7a077d91dab7, 0x1c92164545e8bec8,
0x7cfad2a5ca348c42, 0x048bc6047f3fdc13, 0x9de0123eb0cf42dc, 0xd8ac44081676f5f1,
0x48dcc9bcec98523d, 0x608cfddf186cc8dd, 0xca363f5618602644, 0xb50dc1160f4c6e18,
0x29b28c24d49e904c, 0x4381d207a2eebc5b, 0x3d1a6407679d9407, 0x18471c6e42ca77ed,
0xd0d45054c3095faa, 0x22ed59e0afdc34bc, 0x2a89431a023349fb, 0xba132fd1f97a1e25,
0x6413cecaeb6fe2bb, 0x1d50605be07e5c88, 0xb02adedc33eb691d, 0x816660e2dfc1950e,
0x07524dbc2f583bbc, 0x85f4258c2cc4e3b4, 0xff58fed6377f0a65, 0xba3b588dcf68b1e9,
0xf22669a9564366d8, 0x37990145214004af, 0x9b4a45863e5cf7ff, 0x42301e6270ea0d31,
0xa5af766e3cbfc5f7, 0xe9b66cb9eb03302f, 0x879d0ac2ac5b1bbc, 0x8b39e3889b96e6e8,
0x23c1cd2298acc08a, 0xa64ae5423a8035f1, 0x08ddce25138e56a9, 0x91de77ccb5be318c,
0x18de21697cc9afc2, 0xb4963f35a443e4a4, 0xf8e8b75d3cace7f0, 0xed30eb7183e680c8,
0x8a9398781da7d10c, 0xc58ce74132f603a9, 0xe4a3e7d5a2d532f9, 0xb77c183be762bec9,
0x95d533081d7fd1a0, 0x42e9cfd75b760365, 0x727ce748190dfad5, 0x6afe8d5787b2f73c,
0x120385e1947ca409, 0xbd630494b98b4952, 0x78b71456628d5a39, 0x8d6e335eb773d4a6,
0x5a39ea26d92f16d5, 0x60c40971eb9649c2, 0xecf6cbe15d5a5cd8, 0xfe96381798d10a59,
0x22a0c77b1aef6598, 0x85e2f83e29ea7e8e, 0xb0f9ccad71e193b9, 0x653fb1f5874e9633,
0x9757950901017123, 0xb11ff05b66dac179, 0x6e1402f0cc5d32ff, 0xb398834d33268f54,
0xadd650b1cdc104a9, 0xfcf86fd3dd750489, 0x3b5ae8b6f8acd850, 0x1bb440cd027766ad,
0x002d4577042de42b, 0xee1ef14266661baa, 0xfe1525fd7e3d7148, 0x17c6aabd12e5a847,
0x7658d832c0c61fb9, 0x6a8a6e46a969d42e, 0xb606b8b060f5cefc, 0xf8e1caa96b766bae,
0xa12fcd3101d6cf14, 0x8d7b9c42e4b38807, 0x63fdcb3eb6b271ec, 0x462bc6072998d73a,
0xbe671f5b6dc169f0, 0x4ef69196964782b9, 0xd5aa4826f58139d6, 0xc1c32f80f4b189e3,
0xa0adf716c08bdf32, 0xc7bef5ab7b21c887, 0x54b12e06bdf5167d, 0xdbdf708a33c934e4,
0x92687138f0941f63, 0x849db988c8595abd, 0x52b8015f79f5b4d0, 0xf7d207f9d6511583,
0xb496bb2123c57ab1, 0x6e465f0a8a9695a1, 0x4d3d4e536221735d, 0x0772c763ab65c8a4,
0x563432fa14359423, 0xe4687a2e0294202e, 0x8cbb1009cca4542f, 0x1e873964803d55ea,
0x05f3904ff9dcf49a, 0x14f2695c1adebbae, 0x44d69434dd7d6e33, 0x51c34e2609736bbc,
0x4053ea577d8b2281, 0xd096680b6b793f4f, 0x1c54a939b3c2cb2f, 0xac94471c33021ce6,
0x40b6c60e4cf86bf9, 0x101642b894a1dac4, 0x2418f3cdee1e9bf3, 0x01aca956349cd4df,
0xc61bdf5eb99b70b6, 0x15f856357c3ff5eb, 0xca038653fa2d7532, 0x68d182819961bdee,
0xb4ebaf9649520574, 0x33bc86addefac51f, 0xc000be5715aa8f58, 0x93903ab1e2652a1c,
0x14e0f32d919f5752, 0xdd424885b9718417, 0xb68c3cc207b593f2, 0x4c070f45facd6db0,
0xf07b0201960fa212, 0x03418093f0f90ec4, 0x30d0a74a7dd522f5, 0xa81e5aafdacdbbe9,
0x4552442f15aaddc7, 0xb8861366c2c78efd, 0x639f2a7e93ea4e8e, 0x9cb045439e203484,
0xf7c0e4936d450041, 0xa9a9532ed584efbb, 0x9a3e3fe705013270, 0x7dd873794dfb57b4,
0xf694e28131a3ffde, 0x9821cde284c9d337, 0xfc5e677aea803367, 0x0cba0e75923b7c63,
0x3e775ef5779d8542, 0xb0f58795b17172bc, 0x721d1949156e298d, 0xa657b1675375e394,
0x528b4353a3f3fbfe, 0xb63a21c9b5c62352, 0x576c2756dec31a1c, 0x15fb8c48eada71d8,
0x2cd3c983a7758377, 0xf8d031f609cac75a, 0xc339942415f1fc30, 0xa259d61be67a62dc,
0xb4ddd7a0add904a6, 0xbcda3bb2e41e4e40, 0xe230f206f2042801, 0xcf06cf90b25ce853,
0xcc27e21286f32e8d, 0x73f4159fe1f076a3, 0x5381a41d999c926e, 0x33848e628cc35a8e,
0xa0cc41e953ff4970, 0xa4b09bd12ea679d7, 0x7638843a9181c476, 0x15c5f2f7ab9e3210,
0x89c4a176c9cfbe07, 0xe3fcb582d912c8bf, 0x22ef353dc470195a, 0x1d9998e2fa702cb9,
0x5bcdf14c6d084b44, 0x636989bb7c069885, 0x748244fc7925ba3a, 0xe4c46231619fc8f1,
0x39e902f04692d5d8, 0xb1057fbda14849d8, 0xd4da22f2ebfb3d61, 0x3ba15c3a205d5aed,
0xa89eaa6bac803353, 0xc79bffc7b5e2b7d6, 0x0bd84aa7ab9976a2, 0xa17a63bcdc2c414c,
0x91cd37075f428d77, 0x3aa3172bdce6a7b2, 0x87b5d3a3117e289c, 0x36d3d549f20f8f2b,
0xb5786f4d02157a69, 0xb8f60336fd297aae, 0xd95081baddc5373b, 0x3af3ae7c2888c51a,
0xe7bb8eac4e279e84, 0xc70e8ada525e5080, 0xe7facb1f353fbeeb, 0x2e6cf2729b462926,
0x5ef9e7f338f74938, 0x06d5fc4af2449429, 0xf9b0ae0de7079f00, 0x65da2d7bea4fb163,
0x4598cf75edcc987b, 0xf1f888304da0e097, 0xd3fc1ff884fe8739, 0x93a3be70679b8f79,
0x94814abefafad386, 0x803374bb6cf2cf6c, 0x3ddd4ff4c23c2b1e, 0xdd2da3e718369eda,
0xce0432cbb8819f88, 0x85a2780052dc48c0, 0xd11bb8383c7480dc, 0x1b0cd24812ef98e3,
0x7f1f86d775e7c50b, 0xfe96402e64d4b997, 0xff82a58217db538b, 0x38a932bb103ef1a9,
0xc5679f30892e0708, 0xd771edcf443dbd1e, 0xf966cffeccb85765, 0xe5290e52c718e31d,
0x342363d29fd69964, 0xea7be0ab1c2ecf57, 0xf97ae957d871e0f7, 0x0abd3ff18ee438d0,
0xb10c669a24245492, 0x73c39a402b012659, 0x2f6d7661c29120fb, 0xf4b897133e8fcec2,
0xf4c74a715981e5f6, 0xafe55763709497bd, 0x305c049ab643c4d4, 0xb17480bcfe42f540,
0x985f35e4bd3af61b, 0x1d2e1625e48fd92f, 0xd7fd2694324b3e81, 0x2958f94d77a49fcd,
0xf75410ce6f3e80aa, 0xeb3af1ba3dbcaa2a, 0x43eaea98bb4f75c8, 0xb917f74fe8618474,
0x0aca8a3d628be306, 0xfa70b45c0d7a42ea, 0x083855d12eef0c71, 0x64e58826f5edece9,
0xc77bd2a77bc8c038, 0xed563a4c9a7af32e, 0xb2b3ded2cf70e778, 0x56a2b38c41f63f03,
0x2335839deb3f4fce, 0xd2fa93ba1e75d341, 0x6efd22a8391d9471, 0x37433e699a7121a4,
0xe74b02c817375418, 0xb67a1c59279e8c35, 0x5a9b8a05a63fc3c3, 0xed6dcf14ac520b90,
0x5f76450c671d68ba, 0xd1f63bf6443d7acb, 0x44035d46bfe3ea5f, 0x5d182dc156825af8,
0x2954163425c01125, 0xd662a677d6a977e4, 0x087c8cd9f2358289, 0x1dbdc745f112fdb3,
0xf23497c2af80a766, 0xf3ca52929e651349, 0xb3713b768dcc5bf2, 0xdec18944392ffdbe,
0xa87d7c4c68e7a200, 0x4baeb4782038fbe8, 0x10869dd35773638f, 0xacae9d2a92e81b95,
0x4b1c2d2388d3d718, 0x419ae5ddec8a3179, 0xc15983e4d426c904, 0x17fb4fc51db3915e,
0x367dae0c4e1b3e30, 0x12852febb3db40ec, 0x804d2a105a164ff9, 0x5f3b454f997c8d7f,
0x551d578594efd18e, 0xdac4354132123894, 0x37e9e741ca764308, 0x7fc96e6bc728bd1f,
0x962c5ef7fe5e2655, 0x484698383f926b0f, 0xbab00a75bb3b7994, 0xb9275c8eb4aa6c31,
0x0729967323d94d09, 0x639133047a69bcfa, 0x8f62d2d2b3dbd2f1, 0xb11641fbb8e08f7f,
0x3956d29c26275fe1, 0xb4094332b30ac0b2, 0x30f6f4a6cb8214a9, 0x35e924de91381760,
0xca20992e0f46eb73, 0xc6ccd5abb63f5992, 0x19e772b7c2e72b27, 0xa394ddaccfcd498f,
0x40e059259b38b094, 0xe92dc0bff344c255, 0x79834f31d041a068, 0xb482111de857794e,
0x6a16795c77d762f3, 0x108803688653ccf8, 0xf95784a36a369239, 0x3c62d1ce54080aa6,
0x95afa0b5df186040, 0x53e6b925bf8bf1d4, 0xa38fb75804e75847, 0xc5f5595d3bca54e8,
0xe3fcf65fb5daec54, 0x88a685b0c5d56092, 0x050a127412b7b727, 0x4df5585c7cb05433,
0xc7df3f36495a9750, 0xfbd4e08065d8eca1, 0x676b7201be00a256, 0x2efc46d7e65fbb93,
0xa6dba7ec408ec36a, 0x9fa4753f84239b78, 0x5679114cf63cfaf9, 0xae9aee7e86c111e3,
0x2416e0f5ac98a6b1, 0x3891a1fb26eeb795, 0x430e1a501c853583, 0x1dfde13cf4a3aa60,
0x1e10d3d7bfb6d70b, 0x42ec836acf3c3a26, 0xe59d782da66c97c6, 0xd63d4bcee08123ec,
0x92465743ea059036, 0x049bc2f80a5f3b73, 0xb90d6bdf8781eccb, 0x60188905eeb43e37,
0xa16abbe6d4bf732c, 0xc7e8ca84b10ae98a, 0x527e0ef0563ebf75, 0xe2cfec39039380cf,
0xaaea4f1d34fedcd4, 0xe7058061194e24f6, 0xab1de0726960d928, 0x1acd311cbea5ae0a,
0x4ca9407e52c5e034, 0xcf53e10f855e8a30, 0x2d3b1b52714ae226, 0xbde90f333f173b10,
0x211d3bec779e8e91, 0xbfb627137c8fc5a2, 0x6ffe48555ff4a29f, 0xc6a54af4d98a5c75,
0xc234243d6595ec3b, 0x91eeaaea77dacff1, 0x3597b3dece5779b5, 0x736d231f8ba76735,
0xfc4a9620e50b0914, 0x2659c1560db2899d, 0xe7692d9ca489af0d, 0xa459c0e8c2f5fb10,
0xbfe4b4e5f6751730, 0x22dabce499da6110, 0x929984b25b78d8e7, 0x603e37274baa69b1,
0x790d9e2565f7d39d, 0x9c8036429d29881d, 0x807ea3c2deb895a1, 0x831f387551df3ec3,
0x296a025686666b9b, 0xedb362c693564732, 0x4957bb38a89fec4d, 0x7f8d9affe10daba0,
0xc2b83bba55117de1, 0x0e91922cf183470c, 0xce86e813a00d0e24, 0x88cfed84077cdaca,
0x8d29380f74df203a, 0x4b513e3aa8eaac09, 0x1baa3cda9e9127a1, 0x11716e6a97e603ec,
0x4ec3c649071e169b, 0xc01840efc4410633, 0x3240d031d06010ce, 0x803a10e29abba413,
0xfe32b278d4434cf8, 0x6419a23ec2122d7d, 0x09b32ff84d191bf4, 0x39fa3b5134571541,
0x4cc65ee7a3e15852, 0x73c1e9b62cdc5d0b, 0xae3bc6949fd81c92, 0xc881027cf7a5f072,
0x33921f5076466b8e, 0x88b7b8c4e1f0b954, 0xd927713061da90c8, 0x295519880617720c,
0xd29273039ed76bc1, 0xd7fc543789de9d39, 0x85dda2f7c80b67ff, 0xad3dd7cc76193d7f,
0x64fa9a68b4e64969, 0x18d4a8bb7ddbff0d, 0xa0c75c01cff4036d, 0x6dac61b68cb09d78,
0x98ad15f5de78478f, 0xd17fe6265171c974, 0x834606efdcd46fac, 0xce272d63e9779091,
0xf59fb74bbf312a64, 0xa35dac88c54a7f94, 0x7c506804b6c8ddef, 0x9f4299f83166fd4b,
0x8fdf50639d270c71, 0x0bfd4e1bfc16dd24, 0x5068d1e21b93f10b, 0x396634b6b670c748,
0xcb569a5aab2e9b63, 0x8e49acdd511066ca, 0x326e0faf97f605f6, 0x36dc5142fad3a6f6,
0x4b18739d1438793d, 0xce24bcf7c6a0e737, 0x23ab9dacc99d29e8, 0x7ac6c3204b2394e2,
0xa9b2a399533be59d, 0x85dd82481851c796, 0x81370cb36c842fb3, 0xcb96d602488b0a66,
0x812cec179c82f682, 0x6c1c969704c068ff, 0xc7a0a7a466b025d3, 0x53e2e03a918291c5,
0xcae3b7468e15b22f, 0xd864d317265e507a, 0x4455070a16ad3d1f, 0x5271ef291e63645c,
0xae744d32bd077de8, 0x2bab0a20bc448724, 0x7a7603037defc31b, 0xf1b0d83ee8a784d5,
0xc5f76fd72eb1ba8e, 0x00ccc8039f52f392, 0xa0551d68ea345642, 0xa63cd992f2b872aa,
0x70217377f00140b3, 0xe87bf72cf9f7436b, 0x2dd37a4f3a71134f, 0x90649da9b08e73f6,
0xef789a594789e927, 0xed5736c84d1a9144, 0x539939c978e8b9c0, 0xfa01cc5de74c7bb2,
0xf8e1a32d576c319a, 0xb09947f4bdedd6ff, 0x2d356a3de988f7c5, 0x75a77333e380515c,
0x96df85d3cf6969ae, 0xb3924b31f2ac6c91, 0xfd3d6f0b62a3d102, 0xacd27a7995cd700b,
0xfdb31472477290dc, 0x60b17fee01521f14, 0x738de5136adfdf3a, 0x7c1a26be2b48ef2f,
0x195e0875b16f2a90, 0x2d2da46515215dce, 0x385cf746c400bc15, 0x671f7853affd8f31,
0xd1920e68ca62ee19, 0xa0d7a572f70b377c, 0xd3634685a1ffdf35, 0x7e1509fdf89ea8d2,
0x0dacd804e6d549f9, 0x92b7a0659930a1f5, 0x6ddc4be657b46543, 0x0c357ef54ecc4ab5,
0x7271925a542bcf29, 0x70fe456ef3e3166d, 0x949b432c58628353, 0x4668339ccd51265f,
0x971f3d9d3700a7f4, 0x91d63ff7661755cd, 0x2af76fd68d21ae8d, 0xcd15047e7e823dce,
0x012f2007c3e39a0d, 0x322d256bf75c0230, 0xff4affe8efe1d842, 0xd04e95638db2edc2,
0x94154b27bdfde557, 0x61b3b7c43b2cc758, 0x222531faf652234d, 0xc355b61c54fa2cfa,
0xf91565c9f4eac72b, 0xce9d89ce1d742df9, 0x94d2dabe62e8db25, 0x236d2db6f9cc7d1d,
0x0d295827d74fb3e2, 0x911ba1741054d7cd, 0x143309ae2f1d93b7, 0xd5766f197a45a6c8,
0xfa2844846bd185af, 0x7bf06f6e678e6c57, 0xe6fc3e728f8f5732, 0xd3d2800f8eb8f0d2,
0xaa063eae4638785d, 0x20fdc73ad9bcdf95, 0x536ea729d69b9c5f, 0xd9f269eec63d2e2a,
0x239efdbd200365a5, 0xf2737b81f937a248, 0x6fe629ed55d9f294, 0xc81672814576ec12,
0xb3ee569e7b224acb, 0x9841e18719b66391, 0xe8f4920d2f3ec8b3, 0x1f2b1c24e0590521,
0x2156506fdc4d0516, 0x699256830d309e73, 0x71252464ff7e3262, 0xa25a832ef2c25a2a,
0xb207404de880ef95, 0x45389c6ac80defa6, 0xb3a2f41a82039584, 0xa652df951660f3ad,
0x5ba15ba20d95e5ad, 0x3d93ce5d8d46056e, 0xf7da323462bc1755, 0x13b7e273159e7d43,
0x7d1b21f2fb26006e, 0x38ed7c1ca1f46d1f, 0x932569245aa9460a, 0x8ba8a0bdce452a97,
0xe4397b826f4f4e34, 0x30ca997526bb4425, 0x9d063a689d2fbdfb, 0xd67b2677045d794a,
0x9a24daee119ddf12, 0x3a81ccb1ee967087, 0x3a5c63064098f1f8, 0x056fc8fbffe74350,
0xfe4681d2ee112b46, 0x8da1b8edfa2c6a5f, 0x8c00ff94f00d44df, 0x5690bb60f6dbbc88,
0xc8c92b783cad88b4, 0x5720d5bbfde86969, 0xa34adad079a5cb62, 0xdb54a0de46fb547b,
0xe1a667286795ff6d, 0xe6bd8745cfd08dac, 0x3719cf0c6b716530, 0x357818b5bcb00420,
0xe88cdd47a03c2797, 0x6d0b33eaf420065b, 0x7606291325bc807d, 0xc139849c1263cbca,
0x6b5f1bcab6a21d41, 0x217a33991003460c, 0x3edcbb1377ece9b6, 0x1b8e73053ff35ab0,
0xb4d2623590a614e3, 0xb13a4c1d79419c02, 0x39f981a92066a2d7, 0x7f0d94f9eade9997,
0x2cd4e1c04b1f8c4e, 0x189b146a355c1146, 0xdcd88d6104de4e12, 0x43d087f8dd0bff46,
0x27594c51e6fa040e, 0x7fdd31b5996c7c5c, 0x6b5db846de05df6f, 0xcaab3f9c8c55da5f,
0x396f113c1562a5fc, 0xc19b63b74aed2ed0, 0x99a4a1e518b25220, 0x4225b3d90312279d,
0x30e2816c0f54f367, 0x43e1936a7a772dcc, 0xc0cd19ccc21b87d4, 0x314d72bf6d8bb7e1,
0xb0fd29e477323140, 0x4ec98ede270f202d, 0x3b7af53fea4a0623, 0x8821762529976f6b,
0xf35dff3813ed954a, 0x722444ec24dfda7c, 0xefb4cb56c829004e, 0x40574b95411632f9,
0x84c8b1d77f18b7fa, 0xebc9610c3a249238, 0x960731f3b7afa2ba, 0xf61a0a9e13950db4,
0xaee4fee142d8aea1, 0xbd80b89b4224be1b, 0xe87aa30384a07432, 0x482fe22178851788,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x5a8f38d7c83969d3, 0x802e5f11f1fe9d22, 0x971e2233b3706de1, 0x76b6337d587e2bd4,
0xa06d4dab9d9ac34c, 0xfdd1886ebd1f51ef, 0x753f34e2259078f7, 0x8a15315b0cacf396,
0x7df39c75450ed822, 0xd4cad8dd05432463, 0x2a63aa2cc7d11117, 0x281a9bae8be8cce4,
0x0774dfbfc3578f86, 0xb30f0677670e4ad6, 0x9c9c7e0873cca208, 0xaca680550fb6b4ce,
0x6c89af1a010bbf7a, 0x67ac01e0658d9387, 0x9b6e6d1e14b0454a, 0x97805fcb273874a4,
0xa01f1cd26887a47f, 0xfd1fcfa70ab32902, 0xa7042e601d1e1a9b, 0xad0ea9e01017a3eb,
0x6e9bee9009df37d6, 0x0882d06e46d5bbf4, 0x6aa0f3e26f2da5ad, 0x1249478fab46c914,
0xb9a654c4f58aaa17, 0x4201586ef33c2220, 0xe960e5180d8511d1, 0x446b8c44ad5e8e51,
0xb3986530d209cab9, 0xec6eb9239e6294cb, 0x6e85cfca53843b58, 0xa67675f0086bd6ab,
0x10b68155186a319a, 0x05f8a1e9a94b3051, 0x0d9c996c6e481fb2, 0xa24d73b257f7d639,
0x5fa05b22498059e9, 0xb8695c0809a98199, 0xdcbc496bb42d34c3, 0x8c819661e89bcb02,
0x3ff9562affd8b702, 0x1e8c09e32d729c9b, 0x1939d65bd3b38fba, 0x871119fc0766d2c6,
0x8e84a76f246504d9, 0xa0c3a71df353dd88, 0xa19ffa2870180346, 0x656a24e87545ae36,
0x413da8429ef9893f, 0x05f3ab116db164c3, 0x344896ce075ea7f1, 0xa411c893772aed68,
0x30297f640172d318, 0xef6784ec9a477091, 0x44ef2ee6203f324f, 0xbddbb72e16f0c0ad,
0x7d748dfb2957f9bb, 0x17a4fdca60443ba0, 0x67c440e8bc64c48c, 0x58bf85f5bbb9c432,
0xef308eed0c6b0f53, 0xf405b8138250575e, 0x69d0ab18297bd846, 0xb08aeb90d77f4c09,
0xb8def247c2d31cd7, 0x905ea96433337d25, 0x57f541d40ddcf9f7, 0x4d5f02a52ce2c2e5,
0xe48b9993f83fc7a1, 0x04204a46bf0db1b3, 0x1397479620bfa6e1, 0x3f327ccb1a65cb54,
0x2b52c27fecce31c0, 0x9803ed3a8a9bf103, 0xe4b0508133af5c4b, 0xbf3974f50453edca,
0x45103933f83e3ff4, 0x6333b523211f9884, 0x8ecb3b2eaec7df08, 0x16576ac0e468b71b,
0xc8baed988a5df212, 0xb2cddaec863a445f, 0xaa5f8565ca886e80, 0xf0f4a4ff78ac86e7,
0x4ee4480c11aa0bc3, 0x95ce14f718ed1dd7, 0x6743e3a391c9bdad, 0xd50a217d5797ddf2,
0xa10c5b3e449fc989, 0x3e1c2822bd392db6, 0x46444223786c240f, 0x7ca67c8fdc61117b,
0xa0ef242be7370743, 0x14649f37fd36321f, 0xc579ce78f526eafa, 0x4b9e803195fd047f,
0x329712a3dea2e5f2, 0xe28fcc37f828c360, 0xf77109e010f722bf, 0xfea9211c86989b96,
0x43c34a4a053fb266, 0x656438a3926650d7, 0xcf2a5fe730c95022, 0x467c0e0e11e8eba7,
0x69876d6a16560608, 0xa82ddf61798381a0, 0xb429fcf0b6c5a8ec, 0x677ca223b219319e,
0x2ff3559f66bf2644, 0x111f0da19555f56d, 0xf5952bf6c13c7920, 0xcb90c0292f38776b,
0x44527e4f7bdadcca, 0xe349d06ec5435a0b, 0x7a8c54bb993b4773, 0xddeb22a41da24827,
0x1caa15afe0a91cc1, 0x9566f81c81fcadbb, 0xcb204f1770a2b9fc, 0x18fd7e355d8e7341,
0x42c72db7623698fc, 0x8c509238fcff2f83, 0x132ebc7f799f1e09, 0xc6815e870b13bd80,
0xa9d39167f9b775d3, 0xb6bbce0669f760f1, 0x007b924931db01c8, 0xe5591a4e0a73ba60,
0x20b60c96c6ca5770, 0xc412fba9bf8b54fc, 0xbb45ab8ae41c5932, 0x9f9d9f0fa06a6c9c,
0x597bbd4e4492f2f1, 0x1e7e9e534c373251, 0xe84ac7d44cac8d1e, 0xe52e23c9d9a6d797,
0xf0ebc7a50049f000, 0xe2085a49d9805ff1, 0x89522e9315dc03a7, 0x9482efdfa99898d5,
0xcaaa99271d59a2fd, 0xf2b45757725718ab, 0x28b3bb2c718ac7fb, 0xb6abe034e1c0730a,
0xc0361dd1d3ca1047, 0x3332a34ccfff9ab3, 0x5c3164a35800a6dc, 0xce50182d7221b1a5,
0x3b0a370b459bfc5e, 0x14e1e321bd2fc7a3, 0xd4cfb094a0ef4d7e, 0x7cf290facc636612,
0x28da92b1c7245d2b, 0xee440c9382db7ca7, 0x43c4255cf8eef53f, 0x2c746b017a72c9a5,
0x8189bd8d2e388b3c, 0x67d550f7976bdbf3, 0x17dd654e05f1bcc8, 0x26549bc51624762f,
0xb5659f35d4019b26, 0xe752652baa8022bc, 0xc18717cae8f7e4f4, 0xf9c226875c1ad55f,
0x423907cf58a4cda4, 0x11ccc4542d41147b, 0x72dcc4a3cb72b87e, 0x7fa47d2e048b37b4,
0xd8c52cca81a26ded, 0xc68d9ab477104d5e, 0xf48966245b3e7922, 0xaed2ae4dad6b296d,
0x2053f2fb4542b014, 0x6ca82c87d680552e, 0xe001ccca4a9061f3, 0xd87cbea55540c14e,
0x83e3a248e1273cf5, 0xad48e51131ddba12, 0xfefe9a67aa385551, 0x623f96ef8e63f1fc,
0x79dd24b1c601a870, 0x2407afb34ad7599f, 0x3656065a8e9ebd7a, 0x4bebc12b185c526f,
0x59ce4a0c01904cb9, 0xde317f727a17c006, 0xf32edf212d30772b, 0x310494c6e448ffa4,
0x454b1feb93b91386, 0xd88c37b51da79bf3, 0x95055ef4f1ec57c3, 0x25690f62c0a106c2,
0xd9e1e9b8353e77f7, 0xbdf62b686cfccc17, 0x6bb4600b5dafe3f4, 0x645b4429c72316a4,
0x5f1b6d13fea0c57e, 0xd49293375bfc4287, 0x8dc9cf452eb315f6, 0x43f02146e402ae92,
0x64139b4772c651af, 0x76147c1fa134c301, 0x27ec6172ee7701aa, 0x87ff850b5da7c22e,
0x3303a1be5d9d5a3f, 0x42769b6234557c28, 0x4f12ca2bb28c3b15, 0x515743c347f0255c,
0x0a16d1ba01c8a420, 0x906d648490444c29, 0xc76f05738039f31b, 0x36dcb048c5e59c4e,
0x10e38882e9a7cb5a, 0x63bb65256d036222, 0xbf331a8796f9a8c8, 0xc51401129e0cde8c,
0xf4088affc50183e7, 0x7c81485a28b2b365, 0x9799ebc6565f32ea, 0xf02e9e77fe5fd4f9,
0xee7435d9fac186b2, 0x2391fefee84317e0, 0xdf3cee7f9f3483d1, 0xe0e36622dae692ea,
0x2dbc3ccfe6874d28, 0x969b6b2b4f859f06, 0x12527c1cf0e1b0b5, 0xf3e5d5b7413151c1,
0x0466dd6a317f71ad, 0x713cc3b94342040c, 0x0206084d9da44347, 0x7c4112f4120c66da,
0x05cdf3a5f2687ebd, 0x9659ec97dd323618, 0x48361608b090d888, 0xe802a74c29d740f9,
0x2316e647fd34d4a8, 0x936988bf50cb343f, 0x43a65ed5fc0e0e63, 0x1f660b2f34f216a4,
0xc846e84f339ff9c0, 0xb0a0f58bdb8b3255, 0x58a3d6f0a05181ec, 0x6d850361e04ec675,
0xbe072db0fd188206, 0x45af81ae1097ce4b, 0x762443e60ba0a6ec, 0x3b81ee490e49afcc,
0x77b5743e2483a147, 0x0e8ad1158c4ddc8f, 0x842e45257bd9324d, 0x8a092a5d4cd7b6b7,
0xdd125cef06b384f2, 0xdde39ae47b383de8, 0x4f1a234cb2fe8d6c, 0x0c9ff51c7966e227,
0x3ecd0b06037bffc0, 0x865259176c28aebd, 0xb78747c05a74a855, 0xed07076603c5b728,
0x178d9d71fe6dcb52, 0x288e33186289b93e, 0x6f8d5aff98f21e01, 0x5df68436b8887be7,
0x2708aa6a6b13d411, 0x2522871878c58a40, 0xb1387a348c7e75b6, 0x8b8e1961cc11facf,
0x7bb26841f5a1200a, 0x20ffc314c2e5382a, 0xed2b2ba4a706e121, 0xf19627f27b4e4f19,
0x9b9c576226e873ed, 0xbf779d887fdd16bf, 0x927bb722910b05b0, 0x08c06aa16babb3d0,
0x51340bba2d26140c, 0x7e6ef42585d2db70, 0x66ca5ec0087658a8, 0x19311e73fd5eb1cf,
0xb73d1ee5a023e750, 0xc28f342fcc290e5a, 0xefd64bc50bd23692, 0xe5c5b0ec895fff99,
0xc234c5d061b60636, 0x9518e09a68a6940e, 0xeb8d459aa0ee2583, 0xb6f2dacfdef12ec0,
0x58362c4fe49e0806, 0xb856083b49f57d66, 0x0f5a0605a89738f6, 0x711a322ec291980c,
0x2d308d25a59d014e, 0x4c4f346d139d3bb5, 0xe70e78bbe59bb1ab, 0x61aefa169367cf04,
0xc048d5adccf3d1b4, 0x2576956c9110e514, 0x19aacdbe1e1cbb5c, 0x2d43e4f91e103e8b,
0x7a9ad3342754acf0, 0x9c7b2f45452843a1, 0xc93cd83537076876, 0x919f2bf3faf17f07,
0x3376c38959213e07, 0x5ed68817877ae98b, 0x7676de6c3a2c5c0d, 0x21ba16cfe41c8d8e,
0xc364436d4acb7942, 0xc84892401584d42f, 0x5ebfc2fb0bdf0417, 0x74ef38c2081c51c3,
0x2773b3e1184cff5d, 0x3073f64f41e6030f, 0x653d63b512ad2497, 0x13f7005893cce8f1,
0xd088db0f22753537, 0x669bfc28cff7d343, 0x24d69e68e4f6421d, 0x696ea37ebcf003ce,
0x2487163f8aaf0339, 0xd7302fe619c7fb65, 0xa300a75b6c23dc97, 0x794f4106a6716468,
0xb37caa93463d9e7a, 0xc1f18dec332c899b, 0x1a6df77148a84025, 0x1734ce79d3285195,
0xae5109918b3a605f, 0x21fc603edf4c4962, 0xc948041b7707a7b3, 0xa793588f1f36214a,
0xcd2d6b2ab418f995, 0x86b57292a35213cb, 0xb5554abd5022a5da, 0xa74570a84ccb0f12,
0x38414fda17654f52, 0x3ec3ccbccd924d1e, 0xebb4d22d312c2338, 0x4f141d6fa4f317bc,
0x53c86326cf34b074, 0x79fce0df3e1f1131, 0x8d5ed8ef6bbbdb84, 0xdaa628a37ff71bc7,
0x5d9c3cf3cf1e74e6, 0xc5f66eb2c601060f, 0x18bf736b345d4583, 0xd74749c687259084,
0xa38fe4fbcbfac896, 0x854863f5222f63f3, 0x60de4eb8c2d350a9, 0x9e8b701ff4384ec3,
0xa6baa14afdb6dc9e, 0x7ed9b30f58ca4371, 0x31c70e5002a41247, 0x07d3fcc787e04d6b,
0x3f74088dd6b3575c, 0x223a329ff6d0a27b, 0x2b525b9ad8d9e5cc, 0x4023a209f2a42b61,
0x0cacda59e4a1c5bf, 0x8abaffaafe754ae0, 0x6e0c9a59649076c2, 0x50814fca81ad1624,
0x2c33bc818a8c71da, 0x5b92cfbb7c5a5bff, 0x4456b8973e1bfb4f, 0x54aa57168ef3c398,
0xc3d1947f481af26d, 0x505639295fbfa7d9, 0x818343f8e4b3715b, 0x6dcc4a95146ecd24,
0x19f96eabb6379fe9, 0x906e8407cb3ff96c, 0x7ea2889ee971c4b5, 0x09b9159e8982d450,
0x7f0153dd5a3e7773, 0xd3481e11947344b4, 0x1d90d830fc20dca7, 0x2fb5449e2c337c2a,
0x2693a37e1482a6fb, 0x7c47fa8bd018259d, 0x77d8bd52da6f3331, 0x0e9410c70cba0eb4,
0x33e185ecce5d6ecb, 0x7bc1f5259b192091, 0x40bf012c71063498, 0x2006cddc4c931744,
0x6356faffb909099c, 0x40bc37c4d27ef756, 0x25bb834160dba004, 0x11062da64c29ce71,
0xe10b96ed0d6ea6c7, 0x9f4a11d1d4b3d9b1, 0xbe8b6cb9a6420d84, 0xd8b51c38d47ad27c,
0x1353069334007af3, 0xe0778c8942513212, 0xdbd03f41e283b4b0, 0xc529525241981d0b,
0xc707c825811c39c2, 0xa225d6315de413c3, 0xa35e67d7bbbd2404, 0xd09da87eb9005f1c,
0xc59915ab1c0cdf3d, 0x1878fb1b6c3d4095, 0xc66bf3557b7d0768, 0xd262d2f80e19e848,
0x3bf514dd7a7793e5, 0xe5fbda01c3ea2d31, 0x405659bc5a23b6ec, 0xc876dac24b5fe0c9,
0x6c0cf720506e3f1a, 0x02530758876ccd0b, 0x4169fb5f48946519, 0xef2168f86dedb9a1,
0x9072e40c40eadf5b, 0xe46702e0e6b86df5, 0xa4bb530ad84c8dce, 0xd4500beca3d23fd8,
0x1132f0ca01b2ce12, 0x8967e70952c380fa, 0xefcc2cdd600e711f, 0x49e77942c5f7ec5c,
0x278cdbcd1815b710, 0xbc2be6a65912e5b3, 0x7dc57eb56897ed38, 0x54cccdbeaa880005,
0xca029935658d7e87, 0x40d3581995dab3ee, 0x5e145c6c148cd517, 0x3c3072abb35a13fd,
0x3abdb313a7d27412, 0x28d61f1ae138e577, 0x578cd5ad3b7ffb40, 0x5104bd71526e24b8,
0x37f50895d3ffe1c7, 0x1777d244fcf50d21, 0xd31e3b0eb559137b, 0xaa9ca1e3e2dfb4b5,
0xfec8ba5d7d713cbb, 0x0802bfb4b5e508e6, 0x5532a4c4e6c958e3, 0xac0764b60aa4654a,
0x5db2dc891c3da857, 0x500f3268259916b5, 0xf9f1c5e183bf6579, 0x8e88051966b3590b,
0xf8514a2114f13889, 0xdfe96cfbf7eda812, 0xb8f0c8ada4891771, 0x303849195b40e0e5,
0xab12b9f86d64c6db, 0x7c837967f717e36a, 0x6ed11d7f57f699fc, 0xe851c0a451b09b4d,
0xedac45b6e0fd43a1, 0xeb0e8e82f87f3797, 0x6214d0aef4cc69ae, 0x1fff67c043b8ef86,
0xab459dd5cbfb4319, 0x40f2a299e72d864e, 0x9a1066002c90d6e9, 0x9d5892fe14861283,
0xcd7befc7a9bf1771, 0x23f76803e8a6126f, 0x4c2dd1b0208996ac, 0x74b541ea47bbf3aa,
0x7715056d79688d83, 0x80009d567055bab9, 0x5f9afe349037d0b4, 0x8ae19f35ebacb0c1,
0xa43402bfa204a95d, 0x268f0d383e9c1b93, 0x1d4e07020801c816, 0x490e29b83c45fbeb,
0x30e8bd05ff88ab69, 0x1ac9535a65f9a145, 0x080fa85d0fef2686, 0xbbda9395e6d33d56,
0xfd704455b8317f69, 0x236a9d970f14f33b, 0xa874b98b74cad0bf, 0x661c23055338942d,
0xc38522030142fc0e, 0xb0666b3cf3de00a9, 0x2bbc83d93c022c02, 0x40328e6352e1f6a4,
0xb65224ada6e937d9, 0xdf3ece37f2bc5640, 0x258d16a23e6f1a7b, 0x18213da5f118da95,
0x204e9069a247ae04, 0xcc860fff14d38882, 0x5f6495d2e0dd4d6a, 0xf51382a0c27a4b31,
0xb14ad7e2af0b5e7d, 0x1465515ec3e8d3ff, 0x1f1ecbc9ff4a65bb, 0xd56bbf8d47594bbb,
0x00d84f84841fc380, 0x18bc44e5998c7449, 0x1a822ec9feb68448, 0xeb8c07d2883ad17d,
0xcb6cecbe86169616, 0xea68a9ec6de26ea1, 0xcb59e4e433bde29e, 0x94267594624a02a3,
0xb22e3ea3e164ec33, 0xa72451ff924f6929, 0xf6ec77a0893c9666, 0x688e46d8f9c4b18d,
0x7373566eeeb5a523, 0x8cb58b6c7c34c653, 0x586713f10bce5421, 0xf18a85d89927e456,
0xd1643d38ecfa68be, 0xbfba323f47f0a283, 0x7e68df6426316a9f, 0x284512e196f1534d,
0x4709dfead3bc3932, 0xad39edca33770372, 0x72c3b5fe34ace038, 0x9bdc1a6a90a0524a,
0xac4a8b16a0bca00f, 0xbf954e5e019e7290, 0xd933dd98ebc426ab, 0x255525add4fcd6bd,
0x7a5fe2594fb9fa0b, 0x54241cf2474c2c90, 0x0e0a871d8746203f, 0xe5445d03fbe27d56,
0x7db2739c87c25739, 0xb1aee3a6c37968f4, 0x2c55a8063a571e07, 0x74f2ae3dcee04210,
0xad7b7437811f29c7, 0x5e85b5aec474c75f, 0x6c45946b28ea9f04, 0x06b392322121f006,
0x72f21636e3fc2ae0, 0xf556df5f2d2c097c, 0xafe79584222f947d, 0x613c3c83efaca8fe,
0xb763d046dc8c7762, 0x5c4691b45d1e1ef2, 0xda5d31692eb923fd, 0xfd291914d730b2a6,
0x837dccc6b85a3ad4, 0x6e8235314e75bee9, 0xec55cb9f9e9ba698, 0x141f2e0ed7ff330a,
0x441b3689a00022c1, 0xe6b3af4b35f0e590, 0x237f4a382612dac2, 0xc1c90aaf5db4a716,
0xec09cdf30fd517e1, 0xe7dbe012bcee6e49, 0xaf644224e25b044c, 0x7de3afb3281108cb,
0xe33a614b8f0a6a1b, 0xc898ce1a4f685c58, 0x81ccb769d3a234c6, 0x8aba86cf5e2f5b1e,
0xc04d662dd3f02f50, 0xbe83cf3e09074397, 0x5b446bc638af6b94, 0x7d011d68a2acc7f9,
0x8e1633f53e3519c1, 0x5732eb7d9c7d8498, 0x92c6cb49de770a30, 0xb01b1a866a0ee488,
0x4be26820b829c84f, 0x9e41fec37bbc7bf2, 0x667ffdc38d06abad, 0xaee3439f10115c78,
0xb40bea9328850277, 0x13a974190d983425, 0x85e091ea5e51bc56, 0x9acb103e60362d7e,
0xed6e667d25fc5028, 0xb404cb49ca842f00, 0xec76e5706af56fae, 0x4eabe8552a3d02b3,
0x62137632b42b16cf, 0xc1b611bff135b71e, 0x9ed2a71991bdb60a, 0x808289c7fe10ea9c,
0xc8feeaa13c7f9c94, 0xc48c1cb835476a0b, 0x42fd27c7a9fec5c5, 0x73fd0baba549b816,
0x7a242770e8249c32, 0x093e8ea4554c5ba4, 0x12059b06b0aa2970, 0x92717a6e7783c3a6,
0xc629716dfdc2b374, 0xb9b2696bd7a7cdcb, 0xfa32051b4446db9a, 0x1a47ef6c22124454,
0x8bfaf86efed90edb, 0x9ed8e906be96639d, 0xa480497aa2ec9db9, 0x62bd4168fb61f987,
0xe57d1eded7404879, 0xbd054fac50b106c4, 0x4f338ea341707b77, 0xff326644b682342f,
0x738b4861e3fe6150, 0x5a2a74f9960eb4ee, 0x1abbe49f664c95f6, 0x23c51013fe81bd1d,
0x98595c44c46ce46e, 0xa45d9fcc4978456a, 0x32b5623985087979, 0x042c65da05d6bf8d,
0xa36eaf84a36716ff, 0x19f88d4d5170c42d, 0xff41b43ffd84d9db, 0xff70026eff81f506,
0x8e1dadffe084d470, 0xde0e3483646e4a30, 0x78b831fe371279e7, 0x57d212fa85d3f179,
0xacd0f4a17ba8d7ec, 0x25626805833bfff9, 0x23fbc0a201b94594, 0x44d61f3e0f0ec90c,
0x4bf165c54ac44612, 0xfeda57e02d889c1e, 0x1c05672eeeac590e, 0x9cc7745a403cf70e,
0xa26e301fceccc9d3, 0x7c92d5e714294f0f, 0x25a5888684785341, 0x1cd4e8b55757e8d0,
0x7b4379e33c74d00a, 0xe9e47e935cfdff0c, 0x4420cf14a5a29c7e, 0xd1d925f17bde964a,
0x2a3a4f0dd47104d6, 0x094fb8df369db2a0, 0x1446eed7c8791b33, 0xc22943f19b3c2819,
0x5a9067bfadb02a4a, 0x58cd029f630fa3fd, 0x6b80e747a344ee9f, 0x9bbb3ac743fc58e8,
0x824c576651dd9f6d, 0x244e7073f019f145, 0xb4ab725a5911e094, 0x6d0d4bfa3ebcb5b7,
0xc62ebc2991eb17f7, 0x966c218b15e332e6, 0x06e7a259c30f2179, 0xfebc0b7f318d3238,
0xdbcaa9a457f66834, 0x05d70ad551ae7eb9, 0xf133d62bbf0571f2, 0x1d7f4a014995ba3f,
0x0526136313e8b163, 0x9184c7ecfeec77af, 0xb10c9263ea291425, 0x776b03afe1d01a3c,
0x054f7b391f74fc7c, 0xce20af538b790e5e, 0xda88cdd75427add7, 0x156f568358b960dc,
0x3feb26e9c25a9d53, 0x846e9905f3fe80ff, 0xe3ee528ef8cc3502, 0xbba05ac23c64a7ee,
0xe47f7c43ec2b1d36, 0xa8bd433a9aeae249, 0x70e5a77a4d14a148, 0xb471f597892f7c1d,
0xc265bd1fffcd8a1e, 0xa26ea2ff459be5bd, 0x42f24eae9cb4846a, 0x1731421e9dacca95,
0x8a95eab877910a0f, 0x5b46c2849bff6c36, 0x019cc1ae359dba37, 0x989386735920f566,
0xb4f595fba50afabe, 0xbf5a867bfaf16e54, 0x5956ddbc040967a2, 0xe76d38b66ab5185c,
0x407083213b60061f, 0x2ff5331f21e84e78, 0x1385f9a2e062f663, 0xe089a5012dfa7836,
0xd48425899d738154, 0x19a9886481b5fdcc, 0x3d8afb14ec3228c4, 0x6dbf6520721f3975,
0x529fd4b0a0fd3e95, 0xc12666f91c690f16, 0x013838094571c97b, 0x32b6ea151c258207,
0xd3081a7593261070, 0xb3bf7fb994a5dec5, 0xd48f08115e60431e, 0x89c8d7b87e75e179,
0x0c06f1abd7341950, 0x5372de0a0c052f48, 0x042903485cf3cee4, 0x9fbc57cee8606755,
0x669acbafde5e023e, 0x435ca0c1e7f4563e, 0x81f1df9d33ca246a, 0x64df2aede26ddfaa,
0x3f205a3a5e1ffe59, 0x7ef7bf95272eca03, 0x16f2db280e97e824, 0xa886d13b9ffae026,
0xba6b60efe389cc08, 0xe3553897a3c93d7b, 0xd61b32cab765d37f, 0x518045c5336c84d0,
0xeaba43b306c9bba0, 0x6ac2e9edf51b0d28, 0xfe7d09c07b0458b1, 0x5fab8c351168a5d0,
0x3f4739df6b6a660e, 0x037059edd077a5ba, 0xbfc4404f56b81e8e, 0x33ba42db8f090883,
0xf2dc351b24bdf517, 0x2d99b6ee202b117e, 0xf4a72c88bed1ccee, 0x9598993378c910db,
0x0aafa50fe53120b0, 0xe1191ccf25000935, 0x7e59133c34b8a78e, 0x6b15280d7bb2c9f9,
0xc93510f40acbacaa, 0x24a90b3d51d866d7, 0x3abd1f613b947a23, 0xc1a0aaf79d38a599,
0xaa63b2fbe976be34, 0x5132304cacc5dbe7, 0x3c4616ff90a119b2, 0x08ada3d4af83e236,
0x2e68e44b9de2a20a, 0xebeeced3612399a5, 0xcb0ca7d00fae8fe9, 0xc1d650809aa65ff1,
0xca82d28873de0eee, 0x705c7d54aff18927, 0x1db14f4ccacb213c, 0xf2183d461a76062e,
0x24b3a4abad3eba8f, 0x3bd775d4017e7b46, 0xa9999e80ce0d5aae, 0x28223281522e7f20,
0x952359ae716680e9, 0xae90fc1e6548cd2e, 0xafac577b0390e48a, 0x89bbc1da1365e680,
0xac581017531d487d, 0x529de57e8531636b, 0xaa319c7c0f14ebba, 0xe85977e3e82a1e7e,
0xc8dfc65ba8fa441d, 0x0436e9d8cc62da0f, 0x94b538042e33ab95, 0xd8ac919fa145977d,
0xf8f6c813fc1d8f8d, 0x71aa806c2dfe47bb, 0x386e7e59d9f6272a, 0xc66e0baf95c9f4e2,
0x8b037a047244c22c, 0x0b9533279f164d0e, 0x1f7631e19f418b98, 0x11df16118ff023fd,
0xb26d45934baadb3f, 0x1396a135042a20ba, 0x588e04ff0c1cb6a0, 0xecc863ad24dd3f25,
0x90cd642b8d2d2298, 0x051e49d21c050d18, 0xba8ff0850c4fd327, 0x908fbf331d62f607,
0x2522a665f93ba253, 0x78ef22d91c5ce31c, 0x0464f0de665ca6a7, 0x7f3d6aa1022e7f4f,
0x59ee5c01dba4a943, 0x1a811bdb69f7781f, 0xf572f2a04d9ce107, 0x7d0d6d0773bcf042,
0xfc1fb30c63c6ac31, 0x835003f3d280b7f8, 0x2cb2d8419365dda5, 0x9d66c681d8ba07ef,
0x2647bb1d49ba2768, 0x5b8de63465bc198d, 0x00a6795b3b51fa03, 0x0d10ea05eb78c0a1,
0x1fa9bb055e3c5054, 0x289e437ba23e1112, 0x486e80d9c0bf3583, 0x43e18580cc8de7b5,
0x5bc825de6fdb99f8, 0x7e0dae59fd7c7a82, 0xa270e15266b61e1f, 0xd200c2e375ff89ef,
0xafbb1c0ce94759df, 0xc08b2ef1a2e9616b, 0x6abc02c7dff91d42, 0x8a4e1a6f3b58204c,
0x7e55a82dc9ac84ca, 0x022629a8d52258af, 0x39e1fb67b1d5c25e, 0xfd44a13bdfba9111,
0x9320c444b60d5365, 0x1812473d81c4e7ba, 0xb17145cc882d4160, 0x62965c62b6920226,
0x452a3a575c9ca854, 0xd171e056eb206966, 0xb89e75c404e7894f, 0x955cd26b7b087efb,
0xa2229326ca7f8e9d, 0x2cde0e727576f960, 0x65407eb03f603e51, 0xc63f98a0b2f8f695,
0xbe02efc403b9d018, 0x0d2cf573d88dbc94, 0xd5aee58f43511c68, 0xfc636bea384cd2e7,
0xc173b35a9f32f84c, 0x79c372aaf51aea95, 0xf08cf8194f84b0bd, 0x9a27134391645d47,
0xd9c05ac05c41d69c, 0x63295f87db458101, 0x564576229aacac0e, 0xcbe55d5d0aa1f37f,
0xe8acdfe640f662e2, 0x7f60f951af98676b, 0x4c9f8beea2158934, 0xbc6312069197551a,
0x2541738968f6c627, 0x4bedb94a827d6b16, 0xe9ab03b64ed56185, 0xd2da92941a1cf040,
0x1edc93076739af4d, 0x76c50fdb1ab46788, 0xdc9a1960e1adb49c, 0x931e7ac1a013a16e,
0x850377df32d28d92, 0x601442199e0e8182, 0x8aa6f44707b1fcf4, 0xc6efc079f8949bb1,
0x682cfd08ab3796c8, 0x6f79f6c65f53c3e6, 0x122b6b77dc6bbbfc, 0x87f2eec4f07132bf,
0x8514f49ecaebd80d, 0xb4db05bc564a35ca, 0xa162a8d4ee31153a, 0xc9eb645bf966f3e9,
0xce6cbaf9b862e038, 0x791cb77f15ed7046, 0x6e2cb37ffe7ee712, 0x0227febf9e6a3b61,
0x6a2128e6959c4679, 0x4f1d813a81424c90, 0xf52fa9df49704172, 0x9fa166d2f65b821f,
0x6da0943b16ddabc9, 0xf88559bd988e348a, 0xf76f0127896184ff, 0x95252f1ad4422707,
0x09815eaa25cf5183, 0x46cfc7999ff99e33, 0x62836e6503342db6, 0x4440908e898f418d,
0x5531d5af9914f1a0, 0x66df770cd09fd3c7, 0x071fe3935e69acd9, 0x0c2d24843199cf74,
0x07cc5c64a5428620, 0xfbacfe0c1da37fda, 0x5dbee68f873aaeff, 0x04c7243990ebeaf9,
0x42a2efdc27ff1cc0, 0x3ad2f1d23755e09c, 0x089a6b8ef9f042dc, 0x0bf85598e46f0bd2,
0xaa2d0bc66c2abfcb, 0x3918667a23a9b953, 0x35f80edf06cbb9a1, 0x19d24700054f857e,
0xd7ce9a679a9b9233, 0xfbf58fd4f8601491, 0x26274e6dc91be97d, 0xa21aaa9ee84fb5df,
0x7ed96ec6804c93ca, 0x7467497c6c3eca1a, 0x9071b686d9e94ff3, 0x7c7c05fd0afd2941,
0xd32265f68cf9c91b, 0x4f69a15be95d241b, 0x6d0e444b739de6c5, 0x887812c45f50f839,
0xc4066703eb818ca2, 0x0b95ec7b2402ff83, 0x5a849228514e574a, 0x75d4684b6cdb7dd6,
0x5874cc58a41efdb4, 0xf4c880e9035cc354, 0x28702e2a54d8a168, 0xa88209c224e24e8d,
0x7ebb3602a8e31f33, 0x9455e2035c054bd6, 0xb01a8668f7185cd8, 0xbd4fdadc2c9eedd2,
0xa44a6fddd7e3427a, 0x949e31d09cbaa5f7, 0x8774f9a07314121d, 0xafff6fa48d05011d,
0x10a267c1f4fc9e37, 0xdcfabbe6b20afb6b, 0x14fe314458d82ee2, 0x2108b7b82b6e21da,
0x4d82823f187b6ab4, 0x5c950756d833e69e, 0x5e42d0d8f3dbc86e, 0x2a2395b30845fcdc,
0x9fb69e177b3fc478, 0xde37e130dcc17cc4, 0xc5e224e643694a1b, 0xd50175a39f7b2384,
0xb6152b54dbd3908a, 0x65b6cf1c2f1e5a99, 0x56d63a93000fb88d, 0xbd8d5851b4a9792c,
0x9bbd779e633b9ba6, 0xc7d0f1b26fae40b2, 0x26898f51edaa4a04, 0x71ff9fdbd6a9bca1,
0x47c43d2ae7cf3285, 0xfcfc6f8cda2c3c8f, 0x511892a0cfcd7c91, 0xf86d06529830dee7,
0x39b5e6fd35c1d479, 0xf3d88244ab4dfd20, 0x57625726a2d9718b, 0x9e0b2877d30ca32e,
0xf0fdf1b1ea5a17d2, 0xb76b8b4c5a4fed9d, 0x3b51e1fce7baca8d, 0x0591f2b2d06e9675,
0xfe3792673c245535, 0xad6f0291f6393cc4, 0xa7dc3c63d7ba64f6, 0xab76c7fd3fbef7d8,
0xf6c28386dfaa3992, 0x7ab84be596a6a314, 0x636399d0c840f7f4, 0x3941c136c9e63152,
0x92af191e855af3a8, 0xba0aab2f37eac87a, 0xb8e137128644abf0, 0x7361b057c5a68dc1,
0x1d8b8ec4386410b4, 0xd734afeda7e55de1, 0xe53b938ddedfb61e, 0x6df0edab3960396d,
0x3344ce9a52398f03, 0xe4af4f8b8b19183c, 0x6f3920ceba55ec91, 0x404feb193e820500,
0x769258611c63daf8, 0x73c2fb7b121d9d11, 0xce0bcc1ada4fb28a, 0x66700335b1880bdb,
0xdf93464b3b3090b5, 0xa8143f86b03c7530, 0x40cf93ac20e27350, 0x11a6b7b9c9bd8f33,
0xb11ae12174aaba44, 0x6df5c15d241b1526, 0x26210453901bc0b4, 0x4c09e446d26891a5,
0xb3af71672117ed27, 0x6263b478fcd29939, 0x731cd17213ad51f4, 0x0f771fb203e87267,
0x42b2b3d72e154f6b, 0xf6482d16d11beab2, 0xec5563b6a9fbaee2, 0x0a920e157735c24b,
0x571577d039198db3, 0x919eef1000230663, 0x6a11beef43844123, 0xa9e75a2b9077889a,
0x561bd98091c73dbb, 0x13cd0132ef8bb3bf, 0xd13e3125037177e4, 0xbb68eeb3fcacdfa8,
0xca2b44c9fd52e31e, 0xf18789aaec003760, 0xe5fecf334446db4f, 0x73766766c8e467b6,
0x11a4bf4bf0030644, 0x464443dab5e07bff, 0x879b7edc2bd9fab2, 0x3d6198c188c573aa,
0xa2dc2394736482b4, 0x95ef17d7909fce82, 0x437f6fe66945163b, 0x896b821d869b79a3,
0x313091ee36578349, 0x9bb5f920e1a8b634, 0x020f119377514111, 0x2f4e19c9d49ea219,
0xb54094136171169e, 0x1f56cb7ed51c1f70, 0x325ca7d0ac3ed474, 0xaa880e79900ac4dc,
0xf92386e8b623bad6, 0xdac9073f5a07eab5, 0x151398e86a7e8397, 0x3f8c7ae3095175c4,
0x95ed93a654189abf, 0x4dc1b4c37b377ed1, 0x046df154bf4db546, 0xe38bee4f0aaa8020,
0x4471872210e63387, 0xf8db82de694148e5, 0xda0705a5f4ee7963, 0x653ba9c69aa6296a,
0xc68e4528934d8353, 0x5c8dde85524fb05a, 0x72ba2a50a3545712, 0x55a64eb6a2918b87,
0x36e43f19dc610449, 0x5d1d383a4720a999, 0x8af7df437f659fae, 0x64e75e4e8338dc99,
0xf706793982d889ae, 0x29597f0b95443317, 0x54390ba328167a02, 0x5933eaf4f5f79f29,
0x0d080e527726af1f, 0xbac6b1cb40a3a50f, 0xc921a49f5689b8d7, 0x8b6adfc772c30612,
0x45e8721c15c4ba3d, 0xed67b96d9bde4160, 0x48ec4fbcc55c8a25, 0xfe0c43579e09e816,
0xd6428ca2fa59d0c0, 0x6f34ecd684e1cd8a, 0xa607d15eea7528f5, 0xe72acf0721b567bd,
0x6813927489c5ed96, 0xe9466b133568fea2, 0x7a11c59b431950f6, 0xdfaffb86826c50e2,
0x310b389c908702ac, 0xa0835e820d7d2581, 0x2da4480ff1da24d4, 0xfca491fcb67b33cf,
0x4e1f477159fa8ae9, 0xfd9837b31a14dbd2, 0x53c78d2eeaf597c6, 0xc4f562cdc87aeec8,
0xd6ae3577eddd97f2, 0x0e466ef38a5a3dc7, 0xf8b57545d0bd7152, 0xcec91bba479b0103,
0x5f76c2366cd77dfd, 0x01d6dd50adcdd9c6, 0xf3d6e5c217e41c5b, 0x061c765ef74a0c8b,
0x4e6767db8a1761b4, 0xf6b46bf600122476, 0xdaa86bf838b5a5dc, 0x3af742c020ff68db,
0x72989e359dd78a6c, 0x6addf861d499b5af, 0xecf97268566a377f, 0xc093bf48a727ace0,
0x12ea718e66ef41a3, 0x05f36e19a7a83436, 0x731ac21042a99e84, 0xbc9ad524e30c808a,
0xe1d6534d24bec04f, 0x5cf783fd38065ec7, 0x168f91f83c92e424, 0x374a20fa9ba6924b,
0xd19dda74b8cc89e1, 0x58e6a9563e8ca842, 0x900936600bdc1457, 0x4bdc076af2d24664,
0x2ff72053333df7e2, 0x00bb1984c30eeee3, 0xe1c9c3b8d49e7616, 0x13c576c4e216c474,
0x76b8ef455b215345, 0x8316e7887e9f9ebd, 0xf6f2bb8e9db5ee9b, 0x151a4a7fec7de520,
0x8ebc57cb66a6061b, 0xaa5a54fa0b3ba61d, 0x2fad664039a69c9f, 0xbd68bcee9235e4f5,
0xf31c4a0e73026025, 0x151bd5423a5483e2, 0x9d50123c8314233a, 0x3cdfe20d69d5177c,
0x8355d90500d515e5, 0x4e532429edc16e2f, 0x6660026418cff1bc, 0x7ffed9328ec8224d,
0x0f7500963d9a9f39, 0x11b0c2f43c91bf13, 0x075b8d5265aef3ff, 0x9acb65e607deb8c6,
0x3d6bc913babb4390, 0xd6e75a350721e493, 0x40f93a3a6eee0155, 0x0adaf785c8913186,
0x619c4d83f2e2e30e, 0x3890808f8c0f0ac7, 0x1fbcee0083866432, 0xdcc32c27ffd1aec5,
0x847d7e75acf2b861, 0x3809337fead1dc44, 0x0eb5e4fb6951638e, 0xdeb7356b149ea4d5,
0x372fcedb34fb150d, 0xc11d244e475200fb, 0xf8e9549c6ef8bfee, 0x64fe59dc1137167d,
0x5c941b7b20199cc3, 0xfe96c84c9d460f46, 0xa7be8ea8f6aab575, 0x39ac5c159b2f177b,
0x2344f7a080e6c2d6, 0x85b97e735dd1dadd, 0x68bfd4867773758d, 0x53146b1cc89d10e4,
0x0537c51f25856164, 0x296d9a2ba083a835, 0x8f7d7a54fa69bf4b, 0x919d9b99f9a72bf3,
0xa7ff60209930a276, 0xae8d183f6cf2b9e6, 0x64679511c28551fc, 0x1f211f947d713dcd,
0x67679a2ffd58b210, 0xa1eac74a1a7f6959, 0xd2846b3cde2674a5, 0xdf5c47e165a51049,
0x0e0b8d6b210b35c0, 0xabe544e3de2a11bd, 0x8d268cd00033157c, 0xdbf882a0a4e85595,
0x7dcc08b203d90700, 0xa4ecbd6fac1629d4, 0xee578fd9ee8fbbe9, 0xf9fd2ac49d4e7a8f,
0xad5dc6bf7496228a, 0xbb8376973dec92a2, 0x2282b8d97d2aab50, 0xecff53b071d25722,
0x1bfb0a6c1dac26f0, 0x8eeae7cbedd17422, 0xfb233051a240e26e, 0x715885fddcae0f51,
0x06ba84025dc9a4fb, 0x28a4ae74cc7bb9ce, 0x416b38165c69a9a5, 0x0335c9a572faeb77,
0x37f404a9c748fb53, 0xbc9a85ec33d837d5, 0xbc1411a6bc24e0b0, 0x2f30cea446f98c52,
0xa3117eb686385dfa, 0x497cf8b437702912, 0xb4e5265530d89678, 0x919a968fd7d27281,
0x3d586c14f455bd98, 0xeaa0018a04300f19, 0x9c7aa90cc9480be1, 0x059c7fd3b1c54551,
0x06a6107c61a9bc11, 0x9ab8d068b4d0367a, 0xac26370b1f488971, 0x5e2b58af4cce77c6,
0xc0aa0f7392e66780, 0xae5e89edd0ed1861, 0x52a896b9d58b35d3, 0x8bcda04bdf6029a5,
0xa9be348a16c5bb31, 0xadf1e13e1fe1934c, 0x3aa3382acede5375, 0xccbb661bde129d28,
0xea3dff45849ed9fe, 0x5e32c5f961468634, 0xe8539d90ba7c70c1, 0x5d16e3ad61e75bc5,
0x424e32bd67a568c4, 0x83eeeca0a94b6b54, 0x87849dcd93c4cccf, 0xb74e98267119aad2,
0x2bd329484e38f4e5, 0x9d0f1de5337f0b36, 0xbe58e9be6815a8b5, 0x213ae6d2f4548d8c,
0x070162a7a3625558, 0x70ff896785c6b109, 0xe978d44adebfcbcd, 0x3f636d9b2e729bf0,
0x69b897da2c193bce, 0x0782f61b24954551, 0xbf6bedd9a660073d, 0xbc9e855b45aafa87,
0x0ee8bbc21337226f, 0x6dcbfb9a5dd57fab, 0xdab95f3009aeefcc, 0x1b414043f4a9abb9,
0xdbedc554ab15a879, 0x3e04d42bb877ae7f, 0x37172ebd734a549e, 0x07d41ace0341712c,
0xbb09f26b557d43f0, 0x4747166d305c6fce, 0x25f6acfcdb5e9fc4, 0x37c9b4be71a2f8d3,
0x4947a7dae631f2bd, 0x9e86e6a58c7d96f7, 0x128ee7e03252dc46, 0x556086723aaaa65a,
0x99534e170fb5ed7a, 0x1249a5430f5d9b37, 0x0aa6e33e8113d4d2, 0xcd312093ad077d3f,
0xc503bf6c6bdfa6ef, 0xc57367b6f2faecb5, 0xb130efdf07cdc8a9, 0x9635f8c5cade84df,
0x3abfe4668adfb949, 0x2e511d35df89b99c, 0x2b169eb3b5ee57ae, 0x5087b467ee6ff2ca,
0x24ff6ea8b59c0cb7, 0x8a03b9600151822b, 0xc6b4091feb0af87a, 0x472020b83d8cf8f3,
0xc66e299911b3fde2, 0x157861e893bf8da0, 0xfcf30d920288f598, 0x452b2d3a914d51a1,
0x5e0805791ef14f89, 0x58d919e399c533b5, 0xdc57f04269948bf0, 0xa430cbfdb4dbdd23,
0x57bde28c7bc18715, 0x03506efd2ada55d0, 0x9ad7bdcd88ae349d, 0x6ab764209fd23309,
0xaf2d628356b3942b, 0xa65165691fa22bc6, 0x670f5d1d2eb8ec0e, 0x61a5b9e0dd0b9abd,
0xd1a2fd4132e082f1, 0x7f13d496fd6d49bd, 0x79fef238c5ac037f, 0x559dc1c23a70f87b,
0xa54e57189ed68722, 0x203bc4f766aa7df6, 0x5cf65f1dd9110bc6, 0x229b2b4fb12a6ee0,
0x2d420d7ee48f8e50, 0xeb7e8aff399e2fcc, 0x4ad97fdd048bab03, 0x75113873929adf74,
0x441032f6686d93d9, 0x1d1b3f8a3a700eac, 0x11e824b4205a8ad9, 0x0f67596a124a531f,
0x09e6a523613e69ef, 0x9e50ddac2bf41ea8, 0x4128bda1f4a531f2, 0x26dc4eb9fdc50950,
0x6e9de3de8fb94e6f, 0x88d3c585bc5f308a, 0x136c58e5b6a1c549, 0x2b0a8ed634ca5986,
0x801fe7ef5e9e6200, 0x0966b21fa23ca7bd, 0x8f54bef1e6850b84, 0xdfb90a9326d530e4,
0x86d364f678ee3e34, 0xd9edbab3d82270de, 0x7d44477cf130e3ef, 0xb6845c99e5b606a4,
0x9ae8ab71ee87d5c4, 0x168aa1eaec00fa92, 0xdda615718abfdc2b, 0x758e681bc0730818,
0x5405cd04f975cfa4, 0x635e16099b6191e0, 0x7913112f9fbf2869, 0x63a68348673578c7,
0x84a724e9eebaf7f8, 0x2b0d14bb9bfafe20, 0xce4a911c5079fe90, 0xab13b105a2b38a84,
0x0349e6c12adfbec1, 0x2e2eb31ffb75e55d, 0xe9ac3d6679300a8f, 0xc43911d328d7881d,
0x0a8ef5de52f939a2, 0xb4310516f4d16510, 0xf2fed39097fd3dcf, 0x127567e24159e59b,
0xb5a5445c42a8633d, 0xf901e287c2d6276a, 0xafc670096e5dfae2, 0xc41b161ce0c2c3e2,
0x717ef81e8677189b, 0x3ccf9f48c860a3ed, 0x95a504f198e6c414, 0xb3f6a285c436cf10,
0xb3770e07e1d2ecfd, 0x0f64384831a46362, 0x2c028dfe16339529, 0x4183f12f1f840bfa,
0x306d031d88e383eb, 0x8d8a4f890e33bccd, 0x0c828285a9d374f5, 0x8b290c4cd8e5278a,
0x95186d057e5d9602, 0xd19e6a8b6c29dd4f, 0x55ed680ad45a9044, 0xe0bf034973f37a8a,
0x18b1432cf1dfdcc1, 0xbdf440eabeb0a115, 0x068d070e58829f47, 0x1d8a2cc894bd0f55,
0x038395bf7bfaaa87, 0x78278b83d4495d00, 0x2f7999decb6be7a7, 0xa678411eb7eb9569,
0x8a9927bc1ca9ac19, 0xbdd28586f17d7f9e, 0x2c0b6b86f08943d2, 0xdfbcfe3671d1269e,
0x05b40bc64c6bddf7, 0x785f45d668320adc, 0xa5b3d90424c9003e, 0xe976fb1158449299,
0x46849e6e305e70e2, 0x6469d13bee0ad7f4, 0xeb287966072ea01b, 0x6d7cdb617f998e4e,
0x94732e60a03443d6, 0x0d90a95980ff534d, 0xe6c2beb47a6c8986, 0x66d22eb4912c3508,
0x45ae2c4685e0f4a9, 0x87e039740640a8ed, 0x439d10cf7ee1b7cb, 0x3e5bfddaaad1fdbe,
0xe3cfb17658bfd01d, 0xb7974424fae704ef, 0x51638743572461da, 0x0dc48307e889ebec,
0x07e812045160e335, 0x6e4eab3cac4822f5, 0x17927ae77a1f3b9f, 0xea5ed1993fb922ea,
0x2f5bbe2f5c02b613, 0x045cb8bbb5809d4a, 0x4a4be3af7a00bdb1, 0x84630e81a24f4d57,
0xd45a177415e71eff, 0xa9f8e70f617562f2, 0xe36b1c8942a06fb2, 0x9296e915ab30c91e,
0xd82895f195cfffcf, 0xbae2c86ddce7b51e, 0x11f29b4ce4365d98, 0x9aaabeea5bd28c31,
0x7bf324d98321b34b, 0x7995897e22e37566, 0xc95efad5fd7fa1c2, 0x8c81a4bfeca3718c,
0xfa072b9d11c206aa, 0x42786b644d3cafa3, 0x8f26c3bd7490aa6a, 0x3d877dfa3692c58f,
0x068958c95fe61566, 0x6d3a8a70b4a298d9, 0x598678bd4cb8a0fd, 0x78b48b2a3e73ed64,
0x6a3093ea87cd9951, 0x913c8d4c0b268870, 0x7be8887e87792ad6, 0xef2c9e8b104f4649,
0x9010892e26058be1, 0x4dc2fbf14d717bed, 0x0e1c143afd83af41, 0x66fb8091e5b8c2e9,
0x3d3f2a21a0d56f26, 0xc06b78cc9df135ef, 0xbc50f415722f81c7, 0x000064321e57d7e2,
0x697b8ef04de06b7f, 0x66ac213f321bd8de, 0x598cb36bebe5316f, 0x30f5df2ea314aefd,
0xfafcba6469eb7647, 0x22bf4d097ddf4e19, 0x75ccf3f5d4524826, 0x95dedc7ee1819def,
0xaa6837e744b0833a, 0xa759e4bf83e997c1, 0x11d120e7906f8f4b, 0x53b8a64058667d97,
0x0085507767790df6, 0x69a23b5bd1b0bbfc, 0xe5e8b4b48b0435a9, 0x1c9edecf127f30f8,
0x36c66e00358953fe, 0x03d69e2816f790f2, 0xcdf8f67ed64fd555, 0x5299c2791c1cd166,
0xf4f306791b27552e, 0x4447a0df88fd4383, 0x20f4ddf4170f8723, 0x5c03d900444946cd,
0x9b5c77907aafd14e, 0x7c22d7b11f2e14da, 0xe7854515bf7450c9, 0x137208ee64a36434,
0xfd27ed7318d7ecb2, 0xc9780e945e333f9c, 0x1d8402599550ca24, 0x80786a12d6c38fcc,
0x48c68f0bc59280e0, 0xe24a85667f8dc11d, 0x60597bfbaefd4ed9, 0x050173bd7541e005,
0x7a1aea79da3b7cd2, 0x9243ee1f2b583b42, 0x47d21bf80bfd4d0f, 0xe35d14b1447b1924,
0x42787d9aa02aa6dc, 0xe902209ce0ee9cd0, 0x5816e6034e082657, 0xfa51f3ac039fdd37,
0xed67b14bce9b0f15, 0x55bcac07a5155709, 0x30893930574af12b, 0x730bbd04ff750567,
0x52c147520ad92348, 0x734ca317849817e2, 0xc56559632480a49e, 0xfa9fbc276626346c,
0x60692110bd413a92, 0x97803993888c535e, 0x868f3fd066c81fef, 0xc6015cce976ba364,
0x1cd965cc964ef93e, 0x10bc60ef431d985a, 0x3b0115cc9104eb53, 0x338587c191cb1b1a,
0xf51aaf427b3ca399, 0x9ffbfa8bf1ace60f, 0xf19d48b045de9f9d, 0x87abcbdb20e32ffa,
0xef9b1d47a064fcaa, 0x84492111223d3688, 0xe9d2c7683419ee37, 0x94e566547fc5ae88,
0x372bff93ae22fb37, 0x93b1c1d4a19a7e91, 0xe7a314e3d311e3eb, 0xc54386dcc4970404,
0x266be3285384fd3e, 0xd574257da1aa92e3, 0x7331ebd79d6ba610, 0x2c04c2def0dfc869,
0x85ce2ebc0f01ca5f, 0x289b9fead4b781c2, 0x4782567254e798b2, 0x4b16165523a317c7,
0x3db5d38f8fc6e59a, 0xd4cd6e994141d733, 0x891e81a803f1f0be, 0xdeea97782154bef1,
0x195b3c9318337164, 0x9d0031c8c6cad2b4, 0xca05267fdedccba7, 0xae81f62168fee652,
0x3472cf0b0dddebbc, 0xa28cfaba3efa4a46, 0xe5747504e62e6871, 0x9c82afee2a061398,
0x67f720fda968f103, 0xf8b887e1b316cbf6, 0x44d8c036ce887a49, 0xd558dcd93dddce99,
0x5b51c318bd834af3, 0x8526f60ec2ccc299, 0x87a3eff30affca8e, 0x0ba91e43717b84fb,
0x3adf44d3760432e1, 0x395ee745ceb5d106, 0xb81032c6c38e5dae, 0xba7aeae0181e96dd,
0xf854a79456d838ca, 0xe163dcd76c1e4d76, 0xaedbb46659e1b0ad, 0x04376d99900e64ed,
0x5c52f136f72cd57c, 0xcfb366137e7e15fe, 0x230a2cbbed0df0ec, 0xce0c8b48fb5e5d4c,
0x1b41bffb8c1a8e46, 0x8621e947d81410af, 0x8565b165356e477a, 0x5f87ba7a836de326,
0x5eeb50efcc085deb, 0xc62de0b74931b33c, 0xcdff1122250095bc, 0xd3c03b4c7a7a9e77,
0x416bd0c9da7494c6, 0x367146a26a394e57, 0xe634aee9deb5a5d0, 0x29836afb5b333a94,
0xcc12406820529fa5, 0x8b8ee237c0dbe52b, 0xea7b598f284c126c, 0x76ad20877e0283d0,
0xe64d4452a804c184, 0xb9ffa95d4d5adfb9, 0x39fbf340bb589620, 0x0827fa2d6e97bc48,
0x8e53f04ca8283c1f, 0xf78ae0024a4eb567, 0x4f620bbb975872af, 0x43487ec67891db0c,
0x390c7518de7f531d, 0x8e13e210b4eee946, 0xc632f48bfd83b5a1, 0xd1fb1b346c4b7778,
0x599cf3d21841ab57, 0x9cc670eb791beaac, 0x927b41f9d30f5366, 0x7ce93591d7517bc0,
0xc8f7e93d485bedd3, 0x244fec6d4960ae6f, 0x04214feaafd455d2, 0x5a5c5a85d543c6f0,
0xc9f68fbeed3747eb, 0x5750452003eff206, 0xced2c7ec38b0998d, 0xa25937dcb42c364d,
0xd540872e1339e292, 0xabd932ebf08a1de2, 0x167dab5d123704e3, 0x5f75b1928c45638b,
0xffb4ecc40fbf7362, 0x5dd8340469847c2b, 0xc01a54132fafe9f4, 0x40545ea96cda0969,
0x877fa2717de5afc8, 0xf8fb4bdb6dc75454, 0x43f62d2c388ce1ea, 0x503f183087dd71c1,
0x2848d1ed5ab4f509, 0x7e14aa36fa13d5b3, 0x4121804c1e17225b, 0x92c53d20071f0f48,
0xf0cd147ee18c5048, 0x9b90ac8540018e19, 0xefbfea2de9392093, 0x60b91be6992762db,
0x142538a433c02a27, 0x61c0dde589e517cb, 0xd7503f62e8f344df, 0x0254a4f0b4db3506,
0x37bb4a6f6368744b, 0xc25b395c005c463e, 0x19dc39533b04654a, 0x1fc70c2a5b4180dd,
0xb8d4a7462116e6b9, 0x2d9fc71264ff4afd, 0x6e46a16929cf462c, 0x9671d90ae4eda2a7,
0xd3c3304b81b8510a, 0x9ce039a2885d5302, 0x7c67dd3b27391e68, 0xdf07fa8f23c10934,
0xc58d48167de8d287, 0xec9d57035f1c1a8b, 0xdb6cc6bbc0bf75e9, 0x79d5b76e73b7c1a1,
0x1722754f7c7d937c, 0xeb889450cf1f2aae, 0x1926528f0d42a4f1, 0x7f063bfda112be95,
0x2464e5bc8e094fa7, 0x62eef100aae9d966, 0x6a338f4abb909862, 0x2e82b366baa2bb7a,
0xab6cf5bcefbf6ab2, 0x5ba3629fda5c7f7c, 0xdd9e1bf0b7f4822a, 0x42ff2a6eb0d95ac0,
0xa7cbc5d6c855b232, 0x2b3224668aababb1, 0x7565233455c998b4, 0x43ae43ccf52e25be,
0x2846d361e6c032e8, 0x03fdbf1c338b572d, 0x25df6aef1feae7fb, 0xef017681e95cf3de,
0xb2e697747074befd, 0xaf32b9c80a0c3f03, 0x678839067abe41c3, 0x0fdd53151d36f272,
0x15fc4edaaf4a6fbb, 0xfd16430284e9528b, 0xf3614b96a7a4b04e, 0x45af1acc72453ebd,
0x43a36616f4fbb89a, 0x7a3b9011b88a273e, 0xa629d90a1c3adcff, 0xb1b369e10c2b48dd,
0x16a044d6e56a6f11, 0x01bf9e4134253fa2, 0xf7884b87d7114ee0, 0x17ed7f15f448a8f7,
0x6417a1f9779f788e, 0xdad149d71b9153a2, 0xde0c308202cc9a30, 0xd96a71523e162080,
0x6324cb30fb28c47a, 0x0922caa86cc2ec59, 0x7cc8951dccb472e4, 0x7f84c9a202c20787,
0x3557cade4d7096f6, 0xa6d30a9e1f11f8ab, 0x9cbfbe17be102a7b, 0x342d33d62994804a,
0x1dec2fa6cb5fe821, 0xdca6556377ba773a, 0x7cd8e4913b12a93e, 0x99c25678336273e9,
0x6077ee7acdf8edf6, 0x7158e061ce06c755, 0x99b5f6ac2da43bcb, 0x62dd6d1adf30d943,
0x95e3d0fc58d5e827, 0x719ab213bcebc7ae, 0x11ab5f64f2040ed2, 0xda88d59b9687c929,
0xddf9aef85600125c, 0xaf79cac3f8ba37f9, 0x23c24db74b6a3dd0, 0x77b3175aa1311d22,
0x3a8ea3914c8b8d78, 0xf04c5489a1709c88, 0x093df9d686d39b17, 0x088e2272b21d3515,
0xfe6366a5e44ae8af, 0x0eb7839945cd72c2, 0x20f95094ce1bb48d, 0x4745b5566583e0bb,
0xb311e655b0b3cfbc, 0x1b961ca72b7bf836, 0xf10b78ba77d11558, 0x52fe91498720b153,
0x67e6285891ae559b, 0x0d9779cbd0049046, 0x983a697dfc334e08, 0x96868c3a92e5249a,
0xd5149512cd7c4d66, 0x3b0daa00923ea8da, 0xb4a9a6068292ab62, 0x3cb13e42019b22c5,
0x10d420ce11922098, 0x1ba7fad3a2219313, 0xa67e9a5073bc424f, 0x576258f9b23e21bb,
0x02ac562bcceb7eb3, 0xe71dff8823b17988, 0x948585759c559f49, 0x7f4d8d1a9467032b,
0x97cf8e06be507ba1, 0x93724ee59be2d236, 0x72f35d64dab7d6b1, 0xcb009bb946dbffeb,
0x3246fb862cc771ab, 0x5f46ad9b19fa6e5f, 0x023915751b60fc22, 0x4eb0d10493845cb5,
0xa7303eaa80b24480, 0x7249baa480eede23, 0xd7384df0f003db4d, 0x8a19ba46f9ff6077,
0x1f44d8bc105288b6, 0x8778fac5071f13fa, 0x3f240544d30f003b, 0x198ffcea832b2b1e,
0xc0237367ae54ca59, 0xb6e573c789cf5fbf, 0x39fb4ee76bdb80a9, 0xd3c02a7d864fc368,
0x657f534754fb7494, 0x587cab36437ed91e, 0x54641d1f93f03b38, 0x1cef325f775da9a0,
0x898a903cf3baed0d, 0x3116753d4c4fd02b, 0x5a421f8f23e658ef, 0x1bec6ad8c0ae016d,
0xce11a2be8b4e2daa, 0x24e34a8b68939aeb, 0x3bc8d7b11cf7fd93, 0x887a3bc167708e78,
0xcfff67c74ccc9f7f, 0x05b75464e08a0f35, 0xff380401e1e15ab8, 0xf9e424b6f064eb4e,
0x52ec2040ef27d012, 0x41187b8ef53db396, 0xb4487b793a19aec9, 0xc5525628e7cf2705,
0x5f6cbb1b9dc8304d, 0xaaf545a2c9eac4f0, 0x2a3219a9b3f3a615, 0xd3410d6d12fc954a,
0xece1b4d443cc24aa, 0xd8091ea31ed0bdcc, 0x0b469c9a4ef07a5f, 0xa33eca769b8a0009,
0x47f998365db7b461, 0x13f5954c9b87186b, 0x4b7a3fb2d922b667, 0xfc661d6fe148d9dd,
0xe9e923cabcb019e2, 0xe4fbe73744b47e23, 0xce2c505a6228b5aa, 0xdc36057cd5464408,
0xb9ac58cddc3b4771, 0xe332ba8ea2e27d2e, 0xa2d82df50e6a9dc8, 0x3884255e884aead3,
0xa74dd09504b4153b, 0xeb7e5393d7d39b56, 0x6d662fa9481448b3, 0xa9576b2487d57fb5,
0xe6b7ab871b1ecf34, 0x89012daebcc8366e, 0x26f22a4398912f1c, 0xe0177197638e6d77,
0x4bc56d7a5fc53ee5, 0xe886fee4458f61a7, 0xd3161c312f11d07e, 0x64bbf81acb0940f9,
0xe74a618485400980, 0xfac95e92eb109a94, 0x90a6698f6ae1d132, 0x2f3f6f563bee83b6,
0x3ee0021384dc37e3, 0x6db23230266b871e, 0x4ff691ed02146b08, 0x056113b59714e606,
0xb139b12bd23e98f9, 0x5c7566de20e925be, 0x9b697910bda9c5bd, 0x462503eb9ffa92d8,
0xddffaa79064a2511, 0x7481c720773b648c, 0xdc9d99fafb1ce957, 0xb4a25ad1553af1ad,
0x135ad0d1c6c3726e, 0xb9b09ac29894717f, 0x45238640d7d3cdf2, 0x184082bf7c66ddcd,
0xc4448ba6c72c0b8c, 0xe4c0b30d6f30213a, 0x0d7b0c070ec059e4, 0x997dd0aa879a700f,
0xe708690af0a5b2ab, 0xe46e2b9deb405ca9, 0x84cf177586786f4c, 0x8746c5d4669b4f03,
0x9e8f63b21c30dcf5, 0xf28dd88c0e2df952, 0x8ef7f9ae70cc1b27, 0x7cb39d80ec7dd5ae,
0x068d076706ae886f, 0x5b20538ef0cb93b6, 0x55a1be3cf5669ca9, 0xf0d9eea3711b5e7c,
0xfe836b8b1d393808, 0xf92ce56180745a90, 0xa9757b956680c2e8, 0x00f568ab8d2cd1dd,
0x315ca544b3d35e3a, 0xfd6e2ab416ec0a8f, 0x45e7b5274782bf5f, 0xbdba55ce5084059b,
0xa41de2ac04d215eb, 0x984b202cae303924, 0x1e8710c28604dfa5, 0x323d2b6253ed5f86,
0xb5d8379e42a29f81, 0xdb4740ac8d56cd8d, 0x7971017b601c3d9c, 0x71cd3139d8e32a59,
0x87fcdbffe0c5999d, 0x8395605c664b4186, 0x77ec02bc3b7d4ad3, 0x78d5ad6f4c1063e3,
0xe28b24b9437aa599, 0x52ae8288bc4693a9, 0xf18de7bee9767d6e, 0x6e55ad05f2cfc66f,
0x3c6e7c98ffe1ccc0, 0x9821ccdf1c608aed, 0x12ffe74f8780752d, 0xe88fa973860b19a3,
0x304e3a469702273d, 0x75d16c6d5831594d, 0x4710281b4a96ef96, 0xba1a54451d1fcf83,
0x7a57af4cd9be48b4, 0x256dffe831f24200, 0x5f6535d5b70ca5fa, 0xfad8bd481074e393,
0xf786bd40cc03eb1d, 0xe16ea21ce415c679, 0x762085c79be72cc0, 0x57b931e8d7c28501,
0xfa21443ef4eb0bd7, 0x98c7a0d8e0d47471, 0x12a978f1fa5748c1, 0xfc7b4c8f70130cb4,
0xfb7493025a145b34, 0xafa60f9dc370c930, 0xbc3f1b24e3ae226a, 0x207f02aa10f5e0f2,
0x6fe8b366a117a48d, 0x4e4b77088f032817, 0xc05832b23371914c, 0x5eda80353eef5336,
0x8eeb36bdc4b671da, 0xd80fd6666b625226, 0x42586c95e7e72e76, 0x02e6789403f814d4,
0xbd988333ef94cc57, 0x393154807bbfe536, 0xddc238b29b027009, 0x3f4db2aa543a7c2e,
0x122449eb192560d5, 0x04936cbdde017053, 0xdf3d616867318e57, 0x52f3c8b871bcd541,
0x7ec7efe176c45199, 0x759d9672875cd231, 0xc1dace190b3596d0, 0xce71663e37d84344,
0xd67aaa73b5cba2dd, 0xab99b279e83c8eab, 0x6f61d6084dd77cda, 0x710d71fbe23a2869,
0xc0a95aa344ecfa82, 0xce2327e6cec09e9c, 0x22ba865865d49527, 0xabda4ac625b5c663,
0x639fba1405f3dd28, 0xd17f891563b9ca25, 0xd9108e1465ffd277, 0x8db80a474df18b4f,
0x09b97d8088df91a0, 0xd75befcdd819bb76, 0x6a52bf5073422746, 0x2c0f5acdb7eff209,
0x653dc56ad309d0cd, 0xe005c74b266ad71e, 0x52fe1945bc2d26dc, 0xd5a0ee6782c88fd8,
0x33a90c4ead7cabc3, 0x7eaa0b11710540e3, 0x9ece3e56fb7205fb, 0xd1b24364a776752b,
0x366873c7aed8528a, 0xdc2adb9291ff0b4e, 0xbba86e4d46bc6982, 0x9004024708a9fc97,
0x40437d346e642ecc, 0xb5fe0234842e348c, 0x3d8d988b33331c55, 0x4468fed083692609,
0x69c7924ae7032661, 0x3cb5a272415584cb, 0x71f68ec396df8250, 0x3ecbbeeef5a64f86,
0xc44c4025fea6df6a, 0x266f36840398ca39, 0x18cdeda71e24d0b5, 0x392e4459569bc044,
0xd817103eb79d3c5b, 0xeeaf5bd4b34ab48a, 0xb23e366eb02efd08, 0xa76d15efba0ee3aa,
0x643385dc6631ea5f, 0xf9f3ea4fcc90f774, 0xdf91cbdaea94c9b1, 0x61c24b6e6c529bf8,
0x2b0ba33a34dd834f, 0x5166437827f0b7f3, 0xb276e6c080cd3ca9, 0xf32f2fd75dc7ef5a,
0x65301766452a4cf3, 0x9f08589b940806a5, 0x3d5a0448c28d01c8, 0xf8483423db20e1e6,
0x3b4c41b97a1b9f21, 0xd28c9828667536b2, 0x8b2da57b6eb9c42d, 0x480bac61090498ce,
0xf672e787a53bffc1, 0x4affdb576f493607, 0x2d0c595865b3777e, 0xb793dc92eab15b00,
0xfcfc57fb54391e6c, 0xe7a616260ab04681, 0x707521a9cc83bc8f, 0x9030fa3026a0e332,
0x4aae9d7a5a0f6398, 0xce077c97ede3f843, 0xf11af727b514dc9f, 0xa4d582c2e73aa860,
0x835218ea5f4f7309, 0x9cea80edeb42204f, 0x1e0a719b74cf86b0, 0x775069db679182ff,
0xbbb2c53b191f616e, 0x235ab3404d23df0d, 0x786805e2da2a441a, 0xea8615711f8cc4eb,
0xb7fa48324d531b3d, 0xdcbe2e3711334ea3, 0x395c033f5f1a5ca4, 0x3a48029edae75753,
0x42bc9029ea0d399d, 0x0de1e43051afcc3e, 0x207da739e84c39d5, 0xe260f451cdc13d34,
0x292c84ee55da15ee, 0x0f2654d7ca29960d, 0x9927c37d3f2f30af, 0xd2e1ea2c8112b0b6,
0xdf25c6879e06d79d, 0xfd5b7a727ee9a2c3, 0xce35ee6826e7b941, 0xa9b149e329b90531,
0xadcbc7772dbc05b6, 0xf356e3d9c1ea96c3, 0x2f4c3f6f9e524c08, 0xf2f9ac8b8c4b312b,
0x4ef2ba6905d0493e, 0x4920a49717486be9, 0x75231dc0e41522ae, 0xe6fbf92d57aa4d8e,
0xcb4655f12b362c78, 0x28be05e636e0efc4, 0x12540f7983676ed9, 0x2fb4460db9306f37,
0x07b2bad10c4b7681, 0x6cc414cf58a6df9b, 0x16e7409a43b1597a, 0x22fa7610217f497a,
0xa22941424a88b7c7, 0x6cafb5dbaacc680f, 0x7472bf534d96a5ed, 0x5c0b7cb51ea4310c,
0xc3dae0e5893a81ca, 0x874d074f518128d8, 0xb8325b9efab2c958, 0x43a604dbc2bd0297,
0xbded34f64fd696ad, 0x93e31bd548e8ba22, 0x7997ba234f736cee, 0x3aa3e18696f9d59d,
0xa61cd14bfeab77cb, 0xeeef56910e12f7b1, 0x966a66f1e2fa908f, 0x63be60603cb5ad82,
0x182d4d3ae256dc10, 0xf279c1c86b0b28d3, 0xfc8104a2393a5f36, 0x56c2e5ece6a6386b,
0xa25c9003753b1995, 0x80f678b3ccd7a54e, 0x54e7eda1ca0dc5d7, 0x1ad85e67a1a6b48a,
0xe4bbf78aa0140a30, 0x69e14d0475fb8753, 0x3bb8e67f5ea3cfcc, 0x16d3afb3a12bef63,
0x246915327f73cbc1, 0xb50265f44cfdf8c4, 0x65d23fb3e7fbc190, 0x0dd28999cc30ed6b,
0x7215ca65469fbbfd, 0x6de8a207f555be62, 0xa77630edec5e31f2, 0x921c1ecfd82b0fb2,
0xa7bca763df2901b5, 0x2cd4663a28c1f99e, 0x6cb9b5ffa97114c7, 0xf5eaa4c7a653a559,
0x96584b1424b27936, 0x4b1be5a69c4e1a85, 0xa8e3916bfe6df1dd, 0xd66580508bc2ea8f,
0x7ea6090fc390e159, 0x16f9d33f1cab5bb6, 0xc892ad2e4564131e, 0xc6bfea2734606cd1,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x46b305b199233b13, 0x8a1ba49ed975a8b7, 0x4aca364f2fee77c0, 0xda471191557e63aa,
0xf5ea671c9e1c93d6, 0xec2cf231021f3291, 0xeb1c1908821111aa, 0xae1c9039f3f894c5,
0x817fb54d40646417, 0x39334647d4f0ee09, 0x47388d9c75fb2476, 0x1e78f60135ea2ca2,
0xf1957d26e8359071, 0xd7629b1cf9001909, 0x7262c5514acc9949, 0x157a64db3bc9efa2,
0x6bb34a2a3512f3b6, 0xe09e0909bf519eb5, 0x94cac4aa92c3d75f, 0xd361e2d0ac5f3e14,
0xd4c32942aed8270a, 0xe9688b4f22376316, 0xfcbeecc1955809ac, 0x861a23f6ba21a38f,
0xc75f6d924f570b6a, 0x6cd1f24d53508ae9, 0x4b970293ecb82a51, 0xb5d008691e149e00,
0x8ee79db918181531, 0x32736f1148a9dd71, 0x2978c080cc482d2b, 0xe8802fc47a504644,
0x6b1c2be52a831b63, 0x8ec6c4dd3d408aa7, 0x1d0d174c6096afbd, 0x34bcfa010a1c859a,
0x40e198db45391cd7, 0x3014c01cb9f272cc, 0x718c74b6968eed96, 0x63f3c5aeb963840b,
0xa39aadaf366cfbeb, 0x4918f4e5fe42a6f1, 0xcbfb76e0a356fff1, 0xa636553e88abe702,
0x1466ae8faa831f31, 0xd49b41ed88f763ec, 0xdf15400c2017b48d, 0x0c1db557d692dee8,
0x9c530d5875e1b88c, 0xcca2bf7e9bbab585, 0x41569f407f8b3593, 0xa04983abf6d97450,
0x504022c4cd86b957, 0x45d74d8c8fc38f0f, 0xb109f7be7e0c15b2, 0x4c583cb18f752903,
0x0a86f15c86cc2b3e, 0x0de2dcce6214549c, 0x86e30a834b90fba1, 0x9229c0f4c92946a3,
0xab54c2d8a79ff8eb, 0xcce8611ccdfe7ec2, 0x2558a52972fed1d4, 0x6ae9483cd1c0f7e2,
0x6a4dc943cc767105, 0xf4fbe0043c601f17, 0xfb7439bb0bd88f68, 0x255b3bba71d4a8bf,
0x0e91731e69f8ad65, 0x59ac414a31e6205c, 0x87d9ccbf93bc14fc, 0xbdbdca4f647e33a9,
0xb337753f2a3a0e65, 0xd624b61fe95fb2cc, 0xf8dee5a47bb63804, 0x33cf9e1ceb76b398,
0x33c3fab6ce91f7b7, 0xcef03cc3e782489b, 0xe8f0482a4195afb6, 0xfa27604d59add7a1,
0xd5ec96073bee31be, 0x168935fc5dffb2c7, 0xb006b7b27a8e5f47, 0xf6be155f8d4c9835,
0x245ef05dc890aef8, 0xdaf2d982d6b89f5e, 0x2ede41607f7c5d5d, 0xba18fbf8892ef2a7,
0x93110a39e2311358, 0xd225ff1e7ad96881, 0xa5c6172432d398d6, 0xcc19e6943e762e0f,
0xd8a506c8c9c8c076, 0x48ef0a60f27ad126, 0xcc555cccb80b8cff, 0x385165df597f9fa2,
0x1d98b5724fd85f58, 0xe8fcea90a29e9aa3, 0x401ef34367c46556, 0xd48e8a83b33bd1dd,
0xdfbf0306cf45621b, 0x604512c9bf5ad55a, 0x9e9679f774224aa5, 0xb535214d9c9ecebc,
0xc869e38a17d41550, 0xbd256584e5ee7a09, 0xb20bfb0515fedd37, 0x459cbfba8d57f083,
0x28ad3c494459c894, 0x32485ecaf48cd85f, 0xdae598e4edc0200b, 0xc87d30085e2a1062,
0x8dd9f18abc662034, 0x31da0cacaac31d41, 0x217f78d2480da178, 0xd2aea0f2fde82335,
0x4ca2a068a2f4b3e6, 0x7795789d574640cd, 0x6845173348480a28, 0x7e0f590204c26480,
0xa64ee4fc016fba8e, 0xa1b6811a60c947d4, 0x53e55d2db6393893, 0x82555ceb8426e35b,
0x31814ccf6d101797, 0x1de1c9ae8d5a436e, 0x40cc3f65d5b66d1e, 0x09189d437f46c334,
0x7f613aaebb332521, 0x1c59d41ae3d1d69b, 0x7b1e16cd572700b3, 0x9e949b46f14a6120,
0xb1574e0d806a8d63, 0x897f5c8360d16595, 0x00e86eb5f5b6c911, 0xfed5858dee4596ed,
0xcef1da7156c75dcd, 0x32495703a6ab38b4, 0x59c7b52aafc41da2, 0x4562be8af9bd83a7,
0xe5652a8454e80e5e, 0x09524c8f8015d832, 0xe5582f0c01dcb2c4, 0xa14425a4cded8742,
0x1d0ac9718982b8aa, 0x2e150f935435957c, 0x6730954d4e84caa7, 0xb0e2f3f0152a07b0,
0x53b9933a1e044919, 0xc613700d0633324a, 0x5582213e2fcea917, 0xc2daea2814c323ed,
0x03c9ac5bb579b8f2, 0x7895638b272259d3, 0x7fc98ee6005c542b, 0x4ae8c4714c58c9bb,
0xce7cf4094653226d, 0x39e95dbb5a00f1fa, 0x1ee2464c5fe5536b, 0xd3f81973dcafece1,
0x69c04d0e2dc68730, 0x4bdba13ccc250b76, 0x2357a1a9d34ebb44, 0x12dab8604c50e5f1,
0xee7c020012da6563, 0xeb39e37ce0dc9a9a, 0x1e7502ad31c85fc3, 0x30c281188e67a317,
0x1f05b49d22c66288, 0xc1baa152e1c07407, 0xdc69fe1c64e35150, 0x1c1d55329f2915f1,
0x7c7b2dcfa4d0bcb7, 0xc9be58e0814c10a3, 0x285655927622c5cb, 0x414edfaad0e9e751,
0xab86e2768cc538d5, 0x417631bad2750210, 0xaa7192bfd7c523d2, 0x69663de0b3dca8a1,
0x900b9bb913d9af83, 0x2345d6d25703d1c8, 0x27569dffae8c9130, 0x5b6c67f1b02e1640,
0xd2cdee62845a4564, 0xaabef8b8530cda77, 0xf38b90f75947d1bc, 0xb3064ec69712128d,
0x8abce5ef04709784, 0x1382a33109f46e23, 0xffd1c46f2e4f6fb6, 0x8d527fe4e88bb4f4,
0x7d5c76c94f2c1e74, 0xe929f25c600a5210, 0x8b8084fee20467ae, 0x371482d21dd60bcf,
0xf13d68b1f059fd0f, 0x0c6ad1d9efbaef2f, 0xcd62a5fdd41cbd21, 0x0f0ff5b3d6965382,
0xb449a199a178d1ba, 0x5ff13cf9d08e47e2, 0x8a9d8ab9b10a38b6, 0xc8aba831173a331d,
0xac4820f9b580f788, 0x391b5cedb78c3192, 0xefdf95f4132e9271, 0x122db5de9c77dcd9,
0x2b1f92e338221464, 0x94cae058bfada4ee, 0x12d96aa48c95594e, 0x9970e8c92336e2f4,
0x6e0c1627e840d213, 0xe6695c5a07cf0620, 0xc13a02c81c020152, 0xac6feace1a36e4d4,
0x36641eeddaf11c9b, 0xc1fdae299545207f, 0x9a30bed713a90ec7, 0x8285d1b852b1ce53,
0x5855e062afab5372, 0xc00664841530731d, 0xa377e5b2e31c0c81, 0x51627c9b2c9c24fc,
0x4c4a7f5535b72e62, 0xc5c97618018a6b78, 0x48ff78f3c47b3a4b, 0x46e0158fd39d5d8a,
0x67729c89f4b9d917, 0xcfa6726f4206c0e0, 0x034305c84e98ed79, 0xc80f88ec461a82d8,
0x7ad50987c0a4502e, 0xccffb7b2394fc47c, 0xd1ae1f812704d8b0, 0x1ec53e4863b45247,
0xb55c13b0aadbde20, 0x7e4ece3e3c223ba7, 0x57b2af82a9384b73, 0x1031aaae59047235,
0x8ec1e251bc0f9f8e, 0x212449636e00f8d7, 0xbed7fc071f74248b, 0xc8c1683ad1187697,
0x62e8c8303c33b53f, 0xfbae2fa554271510, 0x5d07e84f28ee3ace, 0x93b5381de7def5d9,
0x6a310d3823ec96ae, 0xb83a0fdb3a98e551, 0x6b39745e3bacb328, 0xb0722479d4763f74,
0xcdcdf63348685302, 0x6113607831319764, 0x2180ed8c1670171e, 0x98a0d9785fe1c293,
0x16159ff14d086bbc, 0x61dad0bff93832de, 0x7bd88a50a8559ff0, 0x9965a2be8e22ac52,
0x23efc863c739102f, 0xf9ddab1c1ba36b6f, 0x846a7a37ce3a7835, 0xbe67bdea7657678c,
0x9456c52297f99ce9, 0xa612bc3ce21c5c83, 0x8d2c4ea7889063db, 0x739e61490337bd19,
0xc9f9fad81e5cee44, 0x46fb0f003ecde28d, 0x12cf216dc9161134, 0x601b3c54aa1e938e,
0xf464f8cb0e66d95b, 0x9537b4fe9ddbb18d, 0x27526076047c55d9, 0xcf1eaaeb3c5a872f,
0x20b646c7af6a5932, 0xe4d0a886d2906e1e, 0xff8f5f20aa6d9c37, 0x14a56868734ceb95,
0xedc208f4979a87ad, 0xc9b0839a79a68cdc, 0x6e63cdada241dfa8, 0x1b981fc6a7f7e88b,
0x175bd19230eb6554, 0x920a7f6e350b8814, 0x159505fffaf65b38, 0x8af774b97b3181eb,
0x89b05990ce615ca3, 0x179e6085ab74ab1c, 0x69d817eecfed5652, 0xf9ac26045155e15c,
0xdd469b3e09c54f1b, 0xb51b49fb43185d8f, 0x6b54dd7e08740db6, 0xb7937788f3a17cec,
0xa65786f2eac45631, 0x22e20f5c41d1d04c, 0x31f85f479e9f49fc, 0xa322c7ae87d04403,
0xa85942cb8b1730fa, 0xcc14cce102fb6abc, 0x60188cc78c17a73e, 0x9a48ad46f5648752,
0xe099ee49717d87b0, 0xa24076e16504e2ae, 0x1a4696427e74de20, 0xf5812abadfff5da3,
0xa1de791800007c92, 0xaf2f06b77466c97f, 0x18030f9a338c7238, 0xe7456432a35173e7,
0x423a8c70f0d29ec1, 0x9bed157e2d4d921f, 0xfec5d98dad0103d3, 0xf9efa525bbcd6f1d,
0xff33ef78acc46c6e, 0x443dfa37597ea9be, 0xaa844a3c7ebc60ff, 0x57d21c347d0c2f42,
0x0dbf4ab9e3d73bb4, 0x07820cea5f61a1e7, 0xfc1bd8323cdd3244, 0x559fb325795f8c06,
0x07d1d2252e545f61, 0x848deff76a838596, 0x271e63446226ec41, 0xe9584e7d42820b69,
0xb2df70cee009ed99, 0xea6d24d1c0f6d579, 0xecd8956ecf0d1983, 0x9e75dcc3c8deb72f,
0xc0558e13c9ddd812, 0x144e52454cca084b, 0x84c46a70b9a5c847, 0xe938881ae60bc298,
0x295ae853dbabdd59, 0x175088b793c65d77, 0x7b857ee673eb7b22, 0xb9753586ff085f80,
0xb668cc2ff32d434b, 0xadb11fc26f3982f7, 0xa2c3341d05ebf4ba, 0xdf57794edc9869ee,
0x595a581a8a4a0e6f, 0x826389bae9c4f7ae, 0xd722754411cca53f, 0x204f7613de14b56e,
0x9144e9329087c5b8, 0x7ae84f41ad680918, 0xae1a159aadb31d10, 0xd1d015f2ec84dae9,
0xd5077723398a34e3, 0x2e075e82008a5230, 0x679de60a1790b615, 0x8d9fba6f8a6b06f8,
0xba2a99e913cb7ffd, 0xecbd50b4f3300914, 0x92ea853378583b94, 0x4cd36c4be5951599,
0xccb805b6588cc950, 0x29c4e4abd1f4747b, 0xbe5be0bf94e8fa3c, 0xf43759983e03a37e,
0xba70fb6f23bb15ec, 0xf8e3d7265330c642, 0xac456e0bf3e19559, 0x5d7023725b6ac1dd,
0xd9de6d20b6d1ce4b, 0x8bc0fe8cc6320167, 0x56207010b3c47f6e, 0x2b611998882e5412,
0x975717699c5ac653, 0xbc63190b3aaff821, 0x2458ef963aaf1c9c, 0x6802571a7c4d2f05,
0x8ac5d472c48eaff3, 0xaae4d25ac00ea503, 0x19d82b46d7342719, 0x30abc6fb49941ff9,
0xad067ba4f18dfa87, 0x58a820457f1a2b80, 0x5fd971ef4266f6e7, 0x5b24b8fcda63738c,
0x74c1baa8c6c66293, 0x0189d1449d03fb61, 0x93e47cec34421ffd, 0x5982d13d30c9e368,
0x510538baf2221007, 0xa3eee0b207be764a, 0xedb41842afd5ef6f, 0x8c7a1b0993fc097a,
0x23392ee02580bea8, 0x25ce2714433240f5, 0x0d570c178a9ea10d, 0x68f49315f24358ed,
0x0ccc47ed74a59354, 0x86947d6e197bb6aa, 0xdf7f79f89f9692d8, 0x5f140eb3e2c16a19,
0x2bd22ad861c2d3a8, 0x423be84dd430d0ad, 0x474ae6f01671e376, 0x803e471b277d632b,
0xb1935fcc1856d823, 0xae6041c83ed60c71, 0xb462726566a8be7c, 0x4ddc24f4c97a294e,
0x97f704bf2d5b5284, 0x816e07fe582fcc98, 0xf0c9842726c1770e, 0x6ed7bdfba20e46f8,
0xd550f54c300cc109, 0xafa09a889fb2fc63, 0x7e7a623edd3b7138, 0x404adaeb5cdcc21f,
0x6510afcbf0122fa6, 0x332e822f28aa0c9b, 0x071eb1ae3f05794e, 0x1b1eb4e8c36bfcd6,
0x7613c4cf80739bbd, 0x3d83e128c93d5a2a, 0x195935ec6e89e31f, 0x234257cffcfd3075,
0x65980bae9a299e85, 0x06a40a0bb5153646, 0x57d0af60d4d93ebf, 0xba5ec40da37945cd,
0xc1ecf15bd6b5e941, 0xdd92a3a90fa0e028, 0xccec70f1dfe86ac6, 0x16bbda36dd6d883f,
0x50e721ff309b6eef, 0xdbe9a377f230274e, 0xb8859d52cd2fad92, 0xfc933912bd3c180b,
0x50f209ef0c3f2760, 0xc5351a048873f8a0, 0x9c29b73d53a0afcf, 0xcd2b9f4836e3bf65,
0x8972c0183b6376e5, 0x095aae83ec4ab329, 0xb09b31aeced75b16, 0x7cd00dc7b28a0209,
0x723e0914bd69d026, 0x48e8f877ed2cbe09, 0xff503fcb34a926b4, 0x652291ff80e19f94,
0x36325161afa9548f, 0xb563d1c671911797, 0x35277877eaaecbe8, 0x475d13e97d46c956,
0xcc2b0cc4a7981b2c, 0x41207b24a924c504, 0x725fcd05cbb070ed, 0xaaab104a011149c7,
0x29bb905406426f7d, 0xda0ebc5538a0c276, 0x6e101684c723efbe, 0x7cc3334b9ddda35b,
0x5a643558d09457ce, 0x68de78a40db6bdcf, 0xc2cd1acf7ccd37b3, 0xf5fdcd247a66f6d6,
0x5cf5baec515b4c37, 0x7518aa64f8368726, 0x3500c5564f603f9f, 0x8ff59f55494c8139,
0x1223fedf2ec3414c, 0xf348a9ccb164d7c3, 0x757c90ba2c1378ce, 0x3e034e45c946b6b7,
0x182fd38faf3f7668, 0x8a82b82aa4dd5908, 0x0f8fd6771cc9f529, 0x13082c51cf2a9777,
0x0280a97a4b62eacd, 0x161a8683478421ce, 0xfa3c321dcd4e9e8f, 0xded11a646d98e267,
0xff1234f3d4a939bd, 0x3cbc220fcf389b67, 0xf5413bbd872d1ef6, 0xb8b7f35b0b494f49,
0xdc5c68c04bbd4497, 0xefc1ac6fdc76424d, 0x57376a8be06687e0, 0x099f66f45b04fdc1,
0x9823d52a2ed7f5be, 0x5ac97ef071ec4f40, 0x3196fcbdc8f9732c, 0xc688b98001728740,
0xa386f4a40e3a7feb, 0x2d33193993c41d27, 0xf35caf14ae7df18f, 0xdb4d15702b7426e7,
0x057feeb14b6f2561, 0x03220c5c905f7919, 0x075036c4543ba869, 0xe4768b46150c14e0,
0x394c842d140ac791, 0x4566b2d0d4b6961f, 0x20d2c57f9ce03869, 0x750d7633290c93c4,
0xb55e80de05a0567c, 0x53cc7a5c62d38f04, 0x75bed7598d9a8f9f, 0x3aa58b08689dd8a4,
0x8b541f99d5eedcc5, 0x2367f9329fb8413a, 0x414e59737e6153ed, 0x36d49d6966f1d70c,
0x63cde5df104078df, 0x6fc5ce71a0d3af29, 0x4757f4ddb99ad9f4, 0xa3c05b9554a89fc1,
0x6b0f47c330c0805f, 0x2a8a81c4b3bfeca2, 0xd08665d60c6e65f8, 0x4c7e9d4caeba45a7,
0xf25e2cd451d39408, 0x615c2cd4a3e066e5, 0x0902453115834ff9, 0x5ff5d76798d7b5bb,
0x167457d16cb7c4d1, 0x3596599914adf034, 0xe1f335255b8dc23c, 0xada032e53ca95b43,
0xbce021d049b532ed, 0x27382a3373dfba30, 0x8237820085714a64, 0xb55f046299833950,
0x0c30ed81a86d833b, 0x677f276aaac773fb, 0xa74bc52ef68eb3d3, 0x71da4c245aea4f18,
0x4fa365c9af6cb475, 0xf5c346c5ac3dba0f, 0xb7a3cb3b99144c32, 0x8de54cb7e74dd513,
0xddb1aa169b3c4690, 0xdf789ab57e2fd368, 0x085b8088ebc8bedf, 0x3018c1b373d64e9c,
0xca8d30912f0c9e8e, 0x5d1eebf13d5bc8da, 0x65673099ec87064e, 0xdaf4a1c6148b0c24,
0xcbfd66fcfc844c67, 0x5ffdea20820b1173, 0x43cf7f951f687d5f, 0xc413b9759a62b056,
0x0ce14d5ceeaf0ce0, 0x398fec3f4a66e77b, 0x9e91f04c9c39085c, 0x7e3e0f06a7dccd96,
0x3bb9a48d58e8e333, 0x04aab0933871f4d3, 0x0b05aa83bdebdb80, 0xf05f9c6016029017,
0xa5a2b04f3ecd115a, 0x8505fdb06fed3ddd, 0xeeb802489812a4c0, 0x5585e8c2bbb4e3b8,
0x97b8b32233cb898d, 0x95603ac61e866d53, 0xcab9261ab47c7f9e, 0x0bb8a8e259936f00,
0x69b9b9a168e58239, 0x75e5246fe3d2a10d, 0xaf46236e0ec60a78, 0x6a91de2e194c9c61,
0xd3266726766fa596, 0xba5ea14792783a2c, 0xfabebe9dd7f781ed, 0xb51156ba15ae9dc5,
0xb20f501ead3862b4, 0xf2dd5fdb6cc961f7, 0x5f8426b83c824e38, 0x424a739eda53a9cf,
0x2343e04fb7b1feb6, 0x3b35733927ee86b7, 0x84c3bad372d9842d, 0xa8a830795ff0b3ab,
0x25bedc46c901f252, 0x502d2b7e050f277a, 0xc382184d30f17fe1, 0x36a5a23597be6717,
0x2373429f7242764b, 0x2578ad1297d0e6a4, 0xcfb8c405948cd141, 0x8e6b57f03a0d083c,
0x7a0d352129b0a8bb, 0xe38965c32cb5129a, 0x4814b99a7a164200, 0x8bcc5a9e0874ba04,
0x793eb99a908f1aea, 0xce8468c8888e2129, 0x7c3f9f05c52f1913, 0xa362e468c7269bcc,
0xe615f92b5fd3eaaf, 0x2cb8b7b97fa5df0f, 0x3cd44dcf1cd642e8, 0xa2bc70cc3be24e2d,
0x1d506e9ef8bfb016, 0x562bfb0506200284, 0x0320d6189d372ec4, 0xc084244470d15127,
0x80f88cdb6c5e35f2, 0x795ecd96eadf2dc4, 0x9170e3eaf62c2be4, 0xe5aab0cdf25137c9,
0x4b82cd05b0120763, 0xd5de0b714bcc1d47, 0xfe5867e76128cb2e, 0x5604660e35e0bd29,
0x8a13c1ffb947ad99, 0x7e554cf960de404e, 0x9eee2b723efa6de6, 0x3c69121996560dac,
0x4b5ccc1a00e01230, 0xbc19e81a920b2956, 0xf9dde3cdf6bdd4f0, 0x6ebdad6f720598fc,
0x51c42eac52da104d, 0x5999b713130400ec, 0xdb0649cac39c4d9a, 0xce6a20d591da309e,
0xe1b7635909ab8061, 0x78d8d0cc7be4e519, 0x7449cd0af3fe9ca1, 0x53cd0c08db64e7f6,
0x249e5874212e6e89, 0xb98711400886208f, 0x0ea0d5e557c305d4, 0xf0aa3d5478fd80dd,
0xcdab3e71184ab63f, 0x04237f6beb22721f, 0xcb298c39cf00c9db, 0x212f84ef0ed67d22,
0xec380d4c50fab479, 0xf190ce3fe629ce91, 0x5a363094b7e1c4c1, 0x75c583bc7b91a240,
0xd08c593d3bbe8d3f, 0x8eb1fe288be9db18, 0xb6e9016bdf25b0a7, 0xc89da07100063f58,
0xc626face1111628b, 0x043973a3337faa0b, 0x97be7d823ca8f2f1, 0xfb1d42ff44fe15d7,
0x22b526ef70ddee36, 0x316cb494b50e1258, 0xa5f2409d444f61b0, 0x01a5abd75d1bb5cc,
0x7774a162f37fb553, 0x55fbe2594c0c9d4e, 0x0952acefda2efe42, 0x6e0a57707814efb9,
0x97ff9fa6e04546b4, 0xb1180316f83c5cc3, 0xf20a31aa1b7de281, 0x8cf06e265fac4ada,
0x87b0292ef4f26699, 0x5d621ec7f145d82d, 0xc4d44572389c1f33, 0x695aecee4e0477fa,
0x2699febeb996bc05, 0xf5fc994b0a8c533f, 0x48d3c074f3a880b1, 0x01eace10adae1893,
0xba49c1c25141a3a7, 0xc0d5fb6e31ebf576, 0x8b8d1c1348654635, 0x7d7fe10212ebd9f7,
0xe399472c3e070ddd, 0x1900e1056689f0f7, 0x09017c0e08deebc1, 0x16f4cc43ef3ef63f,
0x93736eca9511b7e9, 0xb9ab1c9043cedc28, 0x5720a09b37134aae, 0x0159421e16b8acd8,
0xd48160e03c7ccba2, 0xccf08599cbbd4aff, 0x9bcdd0b51ecc78a7, 0x9c62af63f1b6ecb6,
0x32eabb88e76fe029, 0xde2f0c5244c4f7c7, 0x5a152124e885ebc1, 0xcd12e01ef65fd26e,
0x1dad818d52628acc, 0xf53c45144547502e, 0x747f4b0c5c01c9f4, 0x8816f3fe2fb57a52,
0x9ca7b3bbdbbd53c5, 0x20804234ec08500c, 0xf102e8fe45dc731f, 0x691c42f9cc9ae110,
0x8d1b4b2fc130f823, 0x2f5f72f101b1ef24, 0x1e42a3eddf059848, 0x1a753bb9b46dc300,
0xc7d64082a345c2a6, 0x0b14b0a3230c2c7b, 0x934eeeffb51b0ae3, 0x347f7f94e7e5b383,
0x00ca7bb8f9f245b2, 0xbcc5a5b4b089cfa8, 0x1244df176ddb33f5, 0x2a25c4f32c84947e,
0x8280667988f1a648, 0x622ce25bef57c04b, 0xa94eca220dde40fc, 0x5c59813073c8bd21,
0xdc24ae3fe53a2a0a, 0xa348cdebfc371ac0, 0x55e0497c0df2ed7a, 0x95652248e49a4e96,
0xd61e638efb9c1bd5, 0x1e8c33500df72884, 0x67ccbdf5d6adb48e, 0x621314f82d999679,
0xe56c54a92c6e0260, 0x19b6bdef4acb14d6, 0x44ac406a0b469cb4, 0xf242f4b66be46c20,
0x4936fd6b911491fc, 0x7aa867dcf3f4ddc1, 0x465189f73171dac4, 0x601dcc3af287eb1b,
0x2420ea0fdc9d074c, 0x8dcfde5a530edbf4, 0x06f43f025d2e6a39, 0x60733c1a72d5b55f,
0x81c9a78888297733, 0x7bf124908c8056f1, 0xd35c5d513467a75f, 0xbcd4dee1b137cb14,
0xd0bf9e3a9aa00909, 0x7c1d7cf7bf2c6f18, 0x3d10b718c9af4ba2, 0x4670cc7a0203bbce,
0x3c33e7fb842a3e6a, 0x9b02b918d4a513dc, 0x0c36c084493180bf, 0x4da8af74afe9c2a5,
0x9cd88724f430f04b, 0xbdd917946f6eca33, 0xcb3d026cd1f31f46, 0x5b6b2919fbc092e1,
0x057dc9931c1f6181, 0x5ba1d1cee68fc641, 0x173b1418fd9f5ccb, 0x1eb708ccfdd9f875,
0x4711c82e3134c3cc, 0xd53f67b561a82721, 0xb802a9bd2fa60255, 0xe024652dc0003c28,
0x9e0f412ee75bc32c, 0xf61982c7f013c25d, 0x1cdc4e3e8e684d66, 0x9b85a76b62a9316b,
0x9d2a50548d484d4a, 0xf26af6a7399c13a7, 0x0d0e7441152bde3c, 0x8fb034ec62d7c16b,
0xdefbefb90acfecd7, 0xa1e1e4d30be7226b, 0x2ae71e349bfcb0a2, 0xce801f56cbbf42eb,
0x608bd12081cad771, 0x5342f9e593be8845, 0x9ae6534e074e7d08, 0x13e22e52b7a90013,
0x2dc523be27d3b175, 0x9feb30dfd5f974b1, 0xe0d87925eff0a04c, 0x8787eb00a68e4643,
0xfc0e96ea22e054a9, 0xcc1701190f3a8f02, 0x1c9663f661507b9f, 0x15c1add4655afcbf,
0xcde838c421301fbf, 0x531637134f09eddf, 0xb405c7df0ae055b0, 0xe8575e6fdcc1edfc,
0x3cc67be56793a2be, 0xc9903b10aa0c0953, 0xe041456d9bc6dc2f, 0x4ecb8466a9e6a5ee,
0xc012c11d372707e6, 0xa3e735527bfa82e2, 0x8e0f248474d44fe0, 0x21b3c85df9f222c1,
0xaa8135ca99ec4fe6, 0xc4ab4a98a9c18770, 0x6fdb152d7f3da26b, 0x644e478a690c6652,
0x406a534b71272c2e, 0x219ec3eadd7eeef4, 0xd645ca04f2015d41, 0x6a1d1dbbbdbff229,
0x5b50490756b0431a, 0x38048f8253d17667, 0x3cf48ebeca2fae83, 0x7da044ecafd2f3e2,
0x118cd24c7c3956e5, 0xea676330ee67c5c6, 0x3201bd94660e5fb2, 0xb8821712ab2eca8c,
0x1ad5738ba7fbac1d, 0x38652048ae58cffb, 0x4b2a60b28e78a003, 0xf6ebec5b87cd9dda,
0xed0481c255f75efc, 0xa755193a41878ced, 0x155696b1dd88b1e8, 0xe99c714bce6a5ecf,
0x00310b9dba0b94b0, 0x10e683cb9df5531f, 0x3381c9e82c7c5653, 0xf19158123cd23661,
0xe62deed987bf6b6f, 0x639354a80066ec5f, 0xf214d92c6388ea1d, 0x3e3fcc4c7e876b0a,
0xc18029f88a4d82b9, 0x1261f31df31f7f6d, 0xa5baca538a7a2a8c, 0xbb53e60d8d668aa5,
0xed1254a8ef8e37df, 0x5b8d9f15a0e49f65, 0x6832feb72f90bfd7, 0x00a9b55b0ff10768,
0x17f469e7fc370071, 0x5d033452209f5261, 0x44571757e9b1338d, 0xe44a66858543d272,
0xcde6ac9a1fdf3fbc, 0xe159620970a6e8b5, 0x2a723883831aef9d, 0x17d32eb35149c780,
0x1c8e7da5236b5bcb, 0x6ae61aab0d2a03db, 0x1972738816cb56cc, 0x74c6def6facc85fb,
0x8dc97def32eb8748, 0xae3d45da534754cf, 0xea32e5dfa10b0371, 0xf1b5a87d3d043788,
0xfd34829eb7657af6, 0xc0e566d735030fe0, 0xe4ed08492dc1cd38, 0x07a2a366f63b0431,
0x012fa7d4a4553daf, 0x9a8e819a42653e9e, 0xaec6852564f7c1a5, 0x14910e6dde51ad8a,
0x963b1397f8771718, 0x34a9c7d91283e0c1, 0x68fbf6d9b7107aeb, 0xc9fa3124d0942c48,
0x9043b293db723df5, 0xc06a25dd00bec966, 0x0ba7ed3066a4c192, 0xf21f6f3120636cf6,
0x4a4c733bd2f0fd67, 0xdf91d6124d1ecde9, 0x70d83d807b2bf6d8, 0x4bc907f66b104180,
0xf0747da4be3e84dc, 0x52fb089ab0128eaf, 0x8d15ab8af6a35ecf, 0xb3f5506c835f5e18,
0x41eca80663db97dd, 0xa22569e96f3344c8, 0x83702d22d3425cdc, 0x57d98a416b9e4bd0,
0xfe9a57998fd66b47, 0x0a80f508e2e1c411, 0x9399ffe916174b20, 0x5a9a65fc00036081,
0x20b7360f5ef59200, 0x82ad58207b1ace5b, 0x35d053f927d5d565, 0x2f4adb66aaaad0ab,
0x621c06675a777dfe, 0x6317515f3d12cef6, 0xe3c539d42e48fa98, 0xc7a9b9f7b9de2121,
0x562bda3588e92c27, 0x08bb56faae7f0927, 0x0d29943c33c501f3, 0xddb015f8d1a3a6d0,
0x3a8ff95af791664f, 0xcbb7a029dd7e70b3, 0x52e66fee6a176a27, 0xde0e5b78be59b767,
0x42b00114e4f4e185, 0x76a771849f369b20, 0xb559a92323537530, 0xb306ae0bd20da82f,
0x1841bb2a99b6bd35, 0x4c18a060f0990eca, 0xfd5e2bc82af69f99, 0x5d828bc3df22ca1d,
0xf5180ee22eed0763, 0x7d8d3118615280c0, 0xf73d16c82238ac05, 0x55d5da03262b8290,
0x559fc8fa523d1965, 0xb4e4aeaed96cdff6, 0x270bf0383069b148, 0x7ef1efeb323ea3bd,
0xf6095dcc94554075, 0x27c1a7f7a0b72a9e, 0xb561f5ebb1646df9, 0xb5c65725e318a6ea,
0x109cace70c8ed815, 0x00f4eb2c721aada7, 0x7f0a28ef6d1b26b3, 0xc2655ee52f5b677d,
0x3e620e3aab7256e3, 0xb0fb61983c4128eb, 0x7b90539b606256a5, 0xd6b924598be38c09,
0xae819c4e7fe39ce7, 0x438df3ceeb4fc5df, 0xd1fd3a72f1264f71, 0x4a1e60a566a753bf,
0x73c93734250c055a, 0xcd311fc078d3bb47, 0x7a3f16e7138936e0, 0x652626aacb432a5a,
0x789937ac9417c8b4, 0xdd273e3949e50798, 0xeae4e15f060dd03b, 0x8e585f054e156d00,
0xb020f5a4b05dd283, 0x05ee937d4f158b9e, 0xb8fc1c1b9dd5c18c, 0x0f183921118c989d,
0x79962c492209be66, 0xb1574ac6c5175cbc, 0xf27a061ea93f4ee4, 0xa2e04742ddf6ae6f,
0x65885053523a1473, 0xca9600a03f869d2c, 0x95f21ca21a561408, 0x9b651d6185ce6b05,
0xf66ceaa88508ccb1, 0x5e20866a1bb1ba9a, 0x55639c33ab8404dc, 0x05de5b80f5bcced9,
0xbf9e88989fd51b67, 0xf89e8562229e0bee, 0xf06ac14fbfdfdadd, 0x9d483164e8eee731,
0x2cfa031eaf5e0367, 0xcbb053427ec593ff, 0x6ccf8beb3da032e6, 0x5ca6902f9c153ef8,
0x929ca463a210630f, 0x7e21c22f2f4e5c7a, 0x142d9e8a58a3091a, 0xf94d3028b18f4c9b,
0xea85ca6ee1bffc02, 0xb6d311f00255514c, 0x9905bb88b4c011c2, 0xb99d8fbee37f248c,
0x4ac9c159cb42b938, 0x7cb2bba4134f3a35, 0xf8907bf4b9b6d0d7, 0x9e41a5dea4024d1e,
0xf14c5783c416c12b, 0x9783b73ffe8a4418, 0xd4aafc1f077a3b17, 0x8b5b3404a17ca755,
0x6c650fdebe87d5a0, 0x43b9d80e4a6bea2d, 0x64166e200c84323c, 0xa424343b3c2b71b4,
0xbb4771a4c205a0fd, 0x7d8ef6034410c09b, 0x737838e8c97611d2, 0x0bdd9fcbab2e19bd,
0xc6353e3fecb963bf, 0x20433d5def7ebd2b, 0x13056025d6a024e3, 0xe327a1f6bce4443e,
0xa4b4c4adce80bdb3, 0x71aaafd4a690784d, 0xf0140d1edb1867c7, 0x59d6dd39cd8d9e09,
0xc9f3b09a5ae3d5bf, 0x7a816bff9b9aa336, 0x6ab12141da863b2d, 0x0d57b64cb5461e09,
0xc9aae96d66691c86, 0x967c5e03ecdcd3ae, 0x75636b9433ca369c, 0xdd9a1a39c46a437f,
0x6930f4c108740495, 0x49c94a1b63d59f73, 0x43294bcb38f64caf, 0xbb7a2ee1e2943b85,
0x88dbbb31ab769396, 0x9b3565fcfc61ad16, 0x3f34afa53b3c6023, 0x3c8ae91fc02d38a6,
0x087eccba051bdd4d, 0x63db4eae0e33007b, 0x3202b108af3fbd4a, 0xc0363662fa576a9f,
0xd53da44bb9220b59, 0x59bf6fdde0715921, 0xf73710e0ff3946ec, 0x6ae04ed37c52f71b,
0x4a05073fa1faf0b9, 0xc3d9df90a36bf1e1, 0xee87e93687107ba1, 0xfc4bd84785dc4393,
0xdafea2a61b5bb2f8, 0x62c175e61d96ed94, 0x69d3fc898d280d57, 0x2e89d9fffac8c2ac,
0xdd737fbd8c1afcf4, 0xdbbbcb9200fe9dd3, 0x71926cf90848bc5a, 0x06cea2e421ba050a,
0xd84c7023f25b4b5e, 0x2bb39653b3848d5b, 0x5083b373235c4338, 0xaeba9811b487ce91,
0xe7cb02fa8e88550f, 0x71fdf6ad42bddad1, 0x561ffb2678f1136f, 0x1a05b9acafe8cede,
0x5f701d6c17e956e5, 0x99fc79c6201646e2, 0x64ab46f40de6d466, 0x1180bab91a59db34,
0x42bbb522cbbf4e2e, 0xd41f7b38edc12fe6, 0x9e36edf9f84a1ac6, 0xedb4ebab7f795708,
0xe7ba4ef211007708, 0x08dcc0ceaf6320b1, 0x23bd6929c12f95ca, 0x2dc244f376bd94b5,
0x107a2a3bbeb5116c, 0x458717cf7aed9ab2, 0x5edb6cefeb9457f7, 0xf06e7ecb9129d4e1,
0x84211638eda4201b, 0x29d00e3640aaab78, 0x9b09bedad5d19360, 0x483d60f38a7ec3f9,
0xa8863a4ac57d5d09, 0xd3c326b3781d71a1, 0x795452e65afbd3fb, 0xaee1ac38808e38d5,
0x3e3eb84504f8e2e7, 0xb95b025147ee6582, 0x9b9694b5b201ea6b, 0xb6c146a2139dd5d1,
0x2c0ba6a4d83e9505, 0x29acab595a97577b, 0x471031b8ba182ba4, 0x2479fa7fb7865d63,
0x9fc666b91716df14, 0x4d65b078a7946f6f, 0x4b1d699d012344d3, 0xd705bc7a68a694a6,
0xd40fc82cb867c02c, 0x467afe426945ed88, 0x4194bdd9b2396817, 0xb135b5241575f773,
0xad71005a084efbfe, 0x6bd3545c4e09431e, 0x17ed2f5fe34bec3c, 0xac209abd795c9f48,
0x154c56f6da55fa90, 0x7ee9d857637c20e9, 0xe081e46d00bb8a78, 0x1552bc5f3ced9ea7,
0x334cf982461ca7fa, 0x34adcb0f3092d53e, 0xf429287f123826d8, 0x487b3403279e9b9d,
0x9b2084ce2bc0475f, 0x3cd66eee693483ac, 0xd85fcf770a6f35b8, 0xf1ae32535668e9f1,
0x4eca60d72af6b8cc, 0x26a67ce44b0d4e45, 0x92ea23a19aa37786, 0xe28d8385ed95add3,
0x81487ae6521b8118, 0x1f358bbc23d19ce2, 0xae99913a9f903361, 0x28c84170bf75f01c,
0x3f752f66574a73d5, 0xf526e369597fe122, 0x583784bd6ad03c0c, 0x221bfd49fd11fc25,
0xf0f0a685d2fcf473, 0x1e8f897e1f281b84, 0x9bdc2f3886c93c6e, 0x3511a7654986e4be,
0x56889f045b81e280, 0x0a47a9effeac8264, 0x8a7790991c2b3807, 0xd1355610dd4cd735,
0x7a2f528e0b403529, 0x15aac3f9edee9224, 0xa1485c671ec58c77, 0xc25a6643430c1e63,
0x4c44a753ceaa1798, 0x672d769f40746201, 0xb2c7d56047a3e1d9, 0xc42e1372c2459b14,
0xe4cc09049fa893ca, 0x56bf320d4a60f01f, 0x67b984ae2b62446e, 0x8989841fb624803b,
0x4c1461698aeeba17, 0x677fd64fc36801ae, 0x3e3cd2b553b17ac4, 0xeccc1b8054eaf161,
0x5da2ab36d63d132e, 0x220dc943ba3c5acc, 0xe262295e005e1a7c, 0xbde5c26f2bae49af,
0xd09cce1e89b82f62, 0x96923415a8b7767c, 0xaf107ac806051503, 0x45b3140397d45791,
0x37f2b446d06340ac, 0x828a9b8067931398, 0x87fca05480701cda, 0x91a8cbaa7fdf69ae,
0xa1a23a5212727570, 0x747c1900a7dfd425, 0x04e18af9ef6c91db, 0xbec2ed735a5d5004,
0xd600e00ea1b5d17f, 0x851dad8dabd0df7a, 0x89a5110ea729438d, 0xa36ca01355a09cbc,
0xa44be2dd3ab542e2, 0x8fa73c70368d891d, 0xe2980d946dabb73c, 0x12b24d1a24b08997,
0x9e7e92642a28d7fb, 0x55c29b46fada374d, 0x13854b8550b5ffde, 0x01a2fbcb401b7a07,
0x92f0042bcc3f3a1c, 0xb35986ff1d7436e9, 0x35b770a76403fca7, 0x3ad48e8b978b6426,
0x62a7c170c46f9653, 0x10bce6ef1293250a, 0xeddb8e242c99f456, 0x3608e044a8fbf3f5,
0x568e6975703a6c09, 0x3362177c4c5af90c, 0xaa5ce0a76b705dcd, 0x053538eb3d9c285f,
0x3f3c0f2dc47fd2cd, 0xceac960642c1fae6, 0xcad6755cf051427b, 0x3f4111490943282d,
0xd3e6bfa20fa02904, 0x691eb5d4dbc6b483, 0xee6c43bb9a5f4b56, 0x52e10557bd5afd9f,
0x49df833bbd60f151, 0x183f847fc8f65820, 0x1e16e3124f9b0640, 0x7811b51f9e56c0b5,
0xf0e14dacd42b614f, 0x087e61186b59185d, 0x7fb066b612284ad5, 0x302184ddf4779f1d,
0x40f96a3c739ce405, 0xea2d8dbd4db0a5d4, 0x97f64bc5d554f7a1, 0xfdce68966c1cb359,
0xafcc35cb0f76f824, 0x7406fae013563362, 0x773f88bf874dacad, 0x5142fc941a2dc4c3,
0x17f157dad76ccaa2, 0x168b361a94b78d0d, 0x3c83fa7aa96b4017, 0x660f86a687fde823,
0xa1b7dce1f7e1ccf1, 0x36bec1aac7cc2392, 0xf46fdd7a4b395914, 0xd1ddea46a15c6af8,
0x5c16e0b4a6c3c82d, 0x5e9539464ccb7bac, 0x1335d48dd77b0587, 0x2001eb13e7a7bcdb,
0x3a0aa1a8ddac5f1d, 0x5a7666c67bc9a8d8, 0x6607986b70546ff1, 0x9066572b554cf501,
0x7af3930a27cee503, 0x10084fac6c99033f, 0x8a197d720ada09a2, 0x1ca50121f93e69c4,
0xa7e232ea097ba009, 0xc374d925ed190ab9, 0xa7b77cbf5e297b86, 0x68626e49aa22269b,
0xe42537afd526277c, 0x2dc61c40f85bf420, 0x4023266094092ead, 0x8fecbb31dc6a97cc,
0x1116febe8806c7a9, 0x46815d3a5162db8f, 0xb09f5743edadb9e0, 0x51dcf8932d9f977b,
0x03ab57de6cc3f43e, 0xf522cd507f97ccda, 0x3fd85a313a213591, 0x0e90ca8e2fa9b045,
0x08be11774eb6c544, 0x90ccfd20dbab6997, 0xb97f1452fa062994, 0x31ede623225151f9,
0x9566387d54ee1d13, 0x26b31583a7067927, 0x780dba0338a49c14, 0xe2eaafbc08cd5083,
0xf688511504ada1a4, 0xa988c26d9e88a043, 0x76c173e61746260b, 0xddcc85f9f28e8608,
0x5368b74633e6e65f, 0x670ce025c33fe9b3, 0x67d778babf7061e5, 0xdcf0662b36b8db45,
0x12d28437399b1b8e, 0x8acef556430712e5, 0xbaa6957f82b81482, 0xed2c284db8e0b889,
0xf611a9ca5f0bdb94, 0xc3f6115ac847f7e8, 0x546128261727deda, 0x703e6afbf86f68d8,
0x81a7231cc4c0d7dc, 0xc9accd7b4d30f94a, 0x9fa1b50c0a267e9a, 0xdeeb485699482a4a,
0x7c5289696a96fe59, 0x08b65acf0e2b4ba1, 0xa4be79d0210a62c2, 0x03409e0769a5178d,
0x53e06d25b4642962, 0xb2e38a474b3fbd0e, 0x8a60af2381a93fad, 0xbe60ab36e0a08e4a,
0x71071d8cb0becef7, 0x77dc949745a03bae, 0x965c8c2a1ee74900, 0xd52a3839cb96eac9,
0x3022d76caa2d4af5, 0x1c80b7ac32d82b60, 0x4035434f233232aa, 0xa676acf564260f55,
0x13a6a12cc0d04b88, 0xb7fe52f5cc16fc94, 0x70c72266ef12ca0e, 0xcf7c392d38b476d5,
0x8bd08ad474221fe6, 0x0b6fa4f9dfa978eb, 0xfb7f1050e12db233, 0xd13ca04b30e0d76f,
0xa73cc9130ab43295, 0x6e2466aa8c29fda9, 0xd4ad1e99f85ee20e, 0x67371b6228e8fa44,
0x635c3233b83c09e8, 0xc3933fb5a27b6335, 0x170688c7ae17983a, 0xc32802c13c5cde3f,
0xae31772dab5f1fbc, 0x94e2b5a5d3a8676c, 0xbdf06016b12b4412, 0x6bba7668de2d9f11,
0xbf6c3adc349df560, 0x734ea81429114e35, 0xa22928bc9a78e9b8, 0xb915ac991b12e1df,
0x0ea8defa80690a39, 0x5c939835031028fa, 0x73ab9fdae205ac96, 0xb6f8e631a4e0c91e,
0x2515a575c78b5cf0, 0xc6f81e807d60fb63, 0x76d3fbfc462f6c98, 0x945aeff6c0d13727,
0x6890fbf6b8623ed0, 0x4fac86b641d21f88, 0x9b7322871b21bf53, 0xb35a67ad51b023c0,
0x348656d01b82fbd4, 0xdb316034359c2efe, 0xfcadfc3ff12c0949, 0x6196f5538bbde0ad,
0xba4d863810afdf38, 0xb38542d85e3758ee, 0x9f21a7979cdd3ac8, 0x690751a408d1a47d,
0x44f69635fd4a8a13, 0x3ab8e1128823e440, 0x6b0494f235d4aa92, 0x1ed3a33180423859,
0x07ece0c6667ae412, 0x34e22c1aa207ba0e, 0x9aa674b5b0941d60, 0x49a9da78ad9a9733,
0x586c75ccbcca351e, 0xd73a31e4b7db7807, 0xdb21c961eedcb37f, 0x4b08395b1ce05d2b,
0x320609d4e28cbcc5, 0xf9319d1e006ab08c, 0x08e066bde96b0f7d, 0xb6b4a72ba463c80d,
0x22cd52e9e724680b, 0xffa16ab3d2ab80ad, 0x16947f8af9c03384, 0xd119383f2ae37006,
0x527bef3e8b58013a, 0xc055bb2f6ccb762c, 0x19577840e168962a, 0xaead151ec50cc24a,
0xfd8f18a9d49f4adb, 0x055517213ed2e3df, 0x33aeb89004077685, 0xd1c97977cd82b6d3,
0x43dd6c28d68ab339, 0x9def65dfeae1fe31, 0xeabdeec14d875b9e, 0x947dfe4c9e36e380,
0x899100fb32c7a88a, 0x7fd097aa138f31ac, 0x0eacacf74a8df40e, 0x1789e52cbb84742f,
0xb4bf1ed70043406e, 0x02d630159dd8f0c7, 0x79f5adfe443be4b5, 0x5ab0d66f2d64d816,
0x15b163afb596c3a6, 0x65f58bc798097afa, 0x683134e6b8ae2d23, 0xf087942fee100cae,
0x9513c2f9a3c170c1, 0x32000df3d69f809e, 0x6eeb10fa9f30839f, 0x81c65857d0155b2e,
0x0083c8e65798035d, 0xe4deb91b289fec98, 0xb561296b6307e877, 0x3bc2951983697131,
0xe52198eccee429df, 0x472efabdd2d5f26b, 0x3a7e39171a53afc7, 0x0bb22f1da1aeb348,
0x2ed2c3af4a1bbf6c, 0xa9ace381a6b98023, 0x27a60b43b7b02b8a, 0x07e7717219ade8fd,
0x0f63f2eef17b5251, 0x6285f23b3e7fcaf7, 0x238e194739a1bafd, 0x8fd260a620b0044a,
0xddb52bd86d75a344, 0xf450b8dbd8283259, 0xe82de9c7abd04644, 0xc2a18b87f565b036,
0x59b01c7848c8ea2d, 0x5ac7a874966febbf, 0xdf090ed98287f24e, 0x6ea7aa2b9b7cef0e,
0xc5197416e1287885, 0x3fa796433d0e26ec, 0x0f33685bf9fe476f, 0xf8cb8c84481f469c,
0x3cf530446aebb793, 0xf7380e07c075d257, 0xeeb14fadb3ef370b, 0x33545046dd6a53b4,
0x1245e1e1da9fe75b, 0x76c369049dc8be29, 0xdfa77446d69ee161, 0x1540234fb76c6699,
0xafe6846ed4a81409, 0x6140a2cbfc4188be, 0x110f8f6d6430a752, 0xa4984711a513d8a1,
0x2a15f090512c368c, 0x912a67c34b0de4f3, 0x586062bdbcb02fae, 0x628c6141fb9038bf,
0x715422ad0b9379b5, 0x0078a2ce795c53fc, 0x210232c04be1457d, 0x26582c1fdbf672b6,
0x5caf43acd1baa06e, 0x99b9e9b37b486074, 0x9615534f88ab5350, 0x1d78bd7d331abab8,
0xea3e8519d96aa0c3, 0xecef7968776b2c3d, 0x38c527d2e7cf3a18, 0x38af9da6fde0beed,
0x0c04b4e0a21af30d, 0x8cce3157d2e9755e, 0x54c0ad71e1d2b10d, 0x67ed0cf0f1ff059f,
0x18b942551e73a589, 0xcdfc68c53fb7c340, 0x1613f99449bc546d, 0xafe1fe51cb4c3c63,
0x26ef54aaac797b19, 0x3d3d302a4504fd20, 0xce90472f2865cd6e, 0x2fb9bd1228b2895b,
0x094e4de35046e267, 0xe1eea3de5f4a31fa, 0x3f74a57fdb0d0389, 0xf00f674c3a8a9602,
0xeb2b786f373b7976, 0x1cf4e637d7dda0bb, 0x69e8535bee91f776, 0x60d5887a41c84509,
0x2ebd9c94c770a221, 0x917a2e35285919ac, 0xd2c45f8ecfba0904, 0xf4490ee59f6dbd36,
0x89758084112c5427, 0x3ab8d94b38d0a452, 0x0c2250832119ecad, 0x74a6e3be4ea56ec8,
0xccf08af81abcea36, 0x55768ae293c98e98, 0x92e9a532c3c34582, 0x511930274d2a7740,
0xab466f90a713b9f8, 0xf3adb12f5c323c90, 0x915ee582e58f18a4, 0x1f20eaa4873040ec,
0x1b3f7358c743888d, 0xe49119ec6b3823e3, 0x8172d693336a08d2, 0x34e9e46c3b3eafc2,
0x01005093a09f5141, 0x4037102d139673c7, 0xfe8fa22aec8b26b9, 0x2768b412a3749b4a,
0x1d7d17cd76e7f0dd, 0xacfa3e3021a83a41, 0xf7142b4a43124a2f, 0x407935ffa2974aa6,
0x123f50ea462c2196, 0xc9488ae4681d4518, 0xab5968557b9a57da, 0xa83205bf5f46dc05,
0x151e4eea6953f8b8, 0x33000a3fadfa51df, 0xdcc1ce0daf3fbda5, 0x7d371271bb7b8768,
0xaf876bf0f638bf8c, 0xfbc27cfeb07a2f5b, 0x356c93140189e8f7, 0x5b8f5bc77b318664,
0x5b74fbd6d41f1254, 0xae2f6bea698b9e41, 0x94365509202b40f0, 0xc3dca0798c3f22dd,
0x184b26e4df1c35ed, 0x9539430cd2984773, 0xaf2d69e1477f45b4, 0x86652c5509baf2cf,
0xa041901ea37a4701, 0x73259eb1554909e3, 0x7a37c6addfed8bcb, 0xd1cb93fdb1488dbf,
0xdd2d2d57afb62217, 0x4f7c8d1457c435d7, 0xbb7105343bca4b4b, 0xea1d93ef3040ee2f,
0xb4e82168574cb690, 0xc8357ed16ebb391f, 0x6f1b42fb72669bea, 0xcb108bc000a371d5,
0xf400d48e14a9d057, 0x2c3da521a133febd, 0x76510424e78badbb, 0x18094fe0197d3b30,
0x5a272063adc5899a, 0x476278bc4450c187, 0xa02d79a633f6ecbf, 0x3a7242757e766580,
0x1947479d44813265, 0x446de9f0e6996e95, 0x5f7ca2bc06058fc2, 0x7ed52bdb4d777800,
0x10640de1c837e875, 0x63c7555a3ce86856, 0x39371a89992b1ed2, 0xdd61d740f69d0528,
0x161979d08b7b469e, 0xd8facf1dbb5cb36d, 0x5ca558cb6f3034dd, 0xbbd151da22b8ddff,
0x3547a8f8e49c77ed, 0x51e08bdd847ee961, 0x64102dd21a2152be, 0xc0cd2deefaf4120f,
0x9e42789d521c9ac7, 0x536c2f5b6f0db765, 0x9c4427544ba98653, 0x8595169f46fab3bf,
0x9667b31322bba3db, 0x0370aee42b3e731a, 0x30ab9192cb9287f3, 0x11582d84383f8482,
0x15625b77e5ada1e2, 0x928042df1e154836, 0xfbf5fd6a015014b9, 0x0f9b90fba44bb827,
0xfab046fc7e1829ba, 0x34c9363ca080cdb7, 0x06eadf16902def24, 0xa2102654698aa05c,
0xf0a73f3aefed8738, 0x23d3e51fe209e636, 0x37d6fb8b893c58c0, 0xe07f44673aedbff3,
0x47ddc151fb702677, 0x0a2f193d8fd58539, 0xc437684f68b3b514, 0x504a27aa2d27cb46,
0x8604f620d7f43527, 0x040efbb8623447ce, 0xe3324d59a59be502, 0xb5eb38fed8d23a19,
0xfd71153ea417ded8, 0x25a73a99548275f9, 0x0628521041d8288d, 0x088b9d6c1707f315,
0x092c5f3f9461d28a, 0x1c441af94b125106, 0x8e1905d7315dc4c4, 0xfd23631e22a3c50f,
0xd3140c6522ebfbc8, 0xc03894d0305c9fe7, 0xfb20b5b25929fb96, 0x18681f8d368322a6,
0xb6cb24de026cf8fa, 0x97feeceaa42d12bf, 0x06b649a3bbcc36bc, 0x473d8005b19d9fae,
0x1f8669e2da459978, 0x0b47eee844e2b4ae, 0x08fe0fcc8d26c04c, 0xae0f5ec2480a64fd,
0xf54f5c3fec69f08c, 0x27aec32b3c19aa0c, 0x0d0b7104db791eee, 0x50238ec8377686bf,
0xb77cf3c5c66b01b0, 0x609f7d1d1a489756, 0xd7625de72ca98723, 0x6e0760bde39c4935,
0x36f8bd89ac3d014a, 0x68c6963ae0261adb, 0xdc9523f224927f44, 0x927337fd3519c673,
0xad11f6e6616da14b, 0x19705660bd8ab87a, 0x8037f0568ab92537, 0xc6183ddd17bf0d2f,
0xa2cc5590377a0601, 0x1085853d7f72fa2c, 0x5f2e046f9d36cf69, 0x6091dd1f8a812223,
0x1372e040bced2b5c, 0x7d9d5c60a7a71ce7, 0xbf6d231a4a39d158, 0xa7020e4829c225ed,
0x2b969d03d96b9d76, 0xee563af36fe0ad12, 0xf6604f946ddabaa7, 0xb2588f41beae22db,
0x11cffabc946d77ee, 0xba378ad6c75194e0, 0x0418fe7981d35c44, 0xa7b570f6674db09f,
0xfc26294761b8f856, 0x5a7f0e51374a6c24, 0x66802d9fd51b9ef2, 0x2e6226e99d02e67b,
0x36be1561d6f4125b, 0x627da10ad8c0e1cb, 0x3d4616f5652cfcfe, 0xbc2d9692eaf05c99,
0x1cb24fc69d4ec952, 0x314671982680cc10, 0xfcf45fa682a86a45, 0x6439fe94ba8b61f5,
0xaed728b2bca7f9d0, 0x212a783db05abbcf, 0xaac4f56b360482cf, 0x114fdf72282d8f4a,
0x530b4e3a901d9517, 0xce042afeb531b3fa, 0x0fd4c9c33154ffb3, 0x2888ce24eba2bf96,
0xa263dc2e3385dba6, 0xb7e82dc2ea1d7bde, 0x8b09585f6ab3228b, 0x1e4fe421177dcb76,
0xcd74e6113cd709fe, 0xdb717f11b1dcf79e, 0x1e8dd13f4a1d0818, 0x13d32f111d88bbaa,
0x64b5b8d00273f993, 0x80f75100463bc42e, 0x5089dcff2d4d1b76, 0xf15ae1228e98608e,
0x844f04565e35b0eb, 0x8c857578814529f5, 0xc0842119c25a4899, 0xac84f6904a2b4fc3,
0x1c864312d2e47e56, 0xb38e2eb706df7cb3, 0xab44b0836162dbf3, 0x14ac55ad7b37e1b3,
0x67abf8ff3a2d659b, 0x708e8c3718f81e83, 0xd79f805950b8a560, 0x0450116dceb2fba8,
0xc536a47b45f5f398, 0xa461e9532890b089, 0xb32d6f441b4b61b5, 0x5a1780861dcddd46,
0xc4ca7bb284013428, 0xc8cfefb7cf5de50e, 0x0b15b5793fb03d49, 0x13d314e7501d8833,
0xe63f33c59d25d607, 0xf0e6fe74d89a48b7, 0x6528436594328d07, 0x0de0dacdfb66d44d,
0xa225ee29acf7a5d2, 0x1cfe84ae46fd37c2, 0xddddcf50454eb528, 0xa606bae54c111997,
0x7f95e39cc27b797e, 0x37c10dffb2e36da4, 0xefba67590a452a2a, 0x24f36a6d50708f0a,
0xb78bf2ace92bf877, 0x3fec905895ec0fb0, 0xa38ce77988a6bf1a, 0xf1f1fb337baaef07,
0x4a8e9ef8e644a5e6, 0xbdff0256fe306885, 0x6ac192dc2f4993c6, 0x13cd3f6784ac3233,
0x91940a96e59d04c1, 0x4273e20062ed4087, 0x9f1378ea52e0d1ea, 0x8e426546d52c2f91,
0xf31484f00b6470cc, 0xb89b037324c03f1c, 0x2a0af557849372be, 0x4d73f4720b0dc5f9,
0xa579c7e15a3257b7, 0x8b537d0179f81fc3, 0x4bcca4e93851409d, 0x691e09bff3f51f5c,
0xc404cbe36275c847, 0x803e8928c1d4618f, 0x2857dfc76df09f9d, 0x2082511c02521bad,
0x7a80546fc700e127, 0x73834ddba4ca8273, 0x9c21dc90e34dc330, 0x6e850dc2c07dd3a1,
0xcae7c173bf49ac62, 0x561b6d7fe64b7dc8, 0x55e3095725e8538d, 0xc6a38cc9b49c16c7,
0x4787c16e9097415f, 0xcbec873d5f30b6bb, 0x1362e2e8dd552c4c, 0x07347b16f28848bf,
0x4abff3cd59f8806a, 0xc1595f0d01f9be68, 0xd9f682dc6c20fbef, 0xcb094ff00fd628df,
0xc03062b8f46ac1cd, 0x98fd0f94b058832d, 0x7905d2d8bf45dba3, 0xce47aa2fe0d02a87,
0xf3143779478bd2b7, 0x81751ee8128f1780, 0xacb0aa76cddefcb1, 0x2ee6cfd9f2a43440,
0x53ffefbd272a3086, 0x5fffd81b0fec83a7, 0xce7be945d837f09d, 0x8b09427ae24cc191,
0x045f520c4ce9bbeb, 0x3b70e02a6140666c, 0x66e4f17dd37ce310, 0x09e528bf1f6c2b8b,
0xe1900131060ad79c, 0x0f9b53ab0bfac98b, 0x1e753466524d3bad, 0xadeecf80af1218b2,
0x21afe1a444c4c9a7, 0x06d24fdbc93604a0, 0x5c654f1ee4d2e2e0, 0xe74e521055985714,
0x1d9fff9e1fef4bcd, 0xd5998e718fe97799, 0xede690f20c324c1b, 0x058401fc625190fe,
0xac4fed0b687bf35c, 0x7be364af4b9244c7, 0xea607e7e969fa48c, 0xbd095d6d09a19788,
0x57f0d1a5f46b4300, 0x5f6b6faa572d0868, 0xe0aa7ab79d4ef9c7, 0x4e3832c192b0c5e4,
0x3d9d17566e888c01, 0xebe1107cac4cb83e, 0xa3a480e0b4c9c3e4, 0x3d57fbecf657c2ed,
0x46eb3e0b1ac4507b, 0xa10a0b89879f007b, 0x2a5f1b6482d46045, 0xae0239d6d79e6908,
0x2b62259273a28b42, 0x1bc75c6518b25c2e, 0x59555f64a8d3b0de, 0x9e9a20942435268d,
0xfae9f0063baaa4a8, 0x9c16a806248d4dc0, 0xd212cb26b9d3f9d6, 0x5e577dd2289923c4,
0xb6e79073b15af5c3, 0xafbcb2ac5405a033, 0x2339839bd4f8a4c1, 0x2a2e7d166b297c8f,
0x8b6e89ab1aed7394, 0x6ed99d00f13096b2, 0x25bd090211d17f99, 0x4a4e8010126211ed,
0x1e5c31837fc238d6, 0xaa944122d454e91f, 0x2aa72b5dcdd1b8d6, 0x6399ccd1425b21e4,
0x159ca2479c5164b9, 0xa522bb2089c286a8, 0x1ae365d2dfeda7be, 0xe79c93899c22e9ea,
0x4e11cafb97461697, 0x16845a838913e28f, 0x310aad1ecf98fc09, 0x346b0d1db5283e5a,
0x5cee2089a053bad4, 0xd064a21adc95cbbb, 0x4296ad446bc138e3, 0xa70b15caeeb377cf,
0xff12ffb137a75eec, 0xbc5809bf5c3be822, 0x160b16191a788835, 0x4d13c212a3a0f8a9,
0x6ba84585fcc589eb, 0x75215949767c65ce, 0x6e9156489208c35c, 0x194b5ef8852fc631,
0xb1856068167e4051, 0x7c0e0d6085bd19e1, 0x23164380d2307cd8, 0x7d35ed3ed770c37d,
0x38ea2cce718f0394, 0x608b48bc39e13573, 0x6e533b991629fc8a, 0x63decc3ade931420,
0xc57c36d4478cd7db, 0xe5503e2f516322a0, 0xa1942a05307f2ef2, 0xab900abb16885cee,
0x340e74005ade4fac, 0x76879506e9e4cdd8, 0x9e981bdb6dc1043b, 0x9e178c09e7274ed5,
0x53d96f6ed451b70c, 0xcf64a14bdb465676, 0x47f15cef07394a45, 0x098908a45d0527a4,
0x8fc16907a8e2f8e7, 0xaa959d41b64bb117, 0xa57742260431f266, 0xe5bcd5e6bed185de,
0x222d8f044e616333, 0xb268c2f0be438fb6, 0xb1d8db987d971dae, 0x7133678a953a4b86,
0xe9760ebfc9b99826, 0xed5a36ec1a76d100, 0x698a95beea0bd0e4, 0x50b7f5c790bf1092,
0xf3e8e504bcd578e2, 0xf48bb6746be9a786, 0xee9e2e15e7eae906, 0x57771414ccf24506,
0x0e22e623697eb12e, 0x6a5d8f568b8d1a59, 0x682bd158b531af50, 0xebb8484d5a950d32,
0x747890722d662f0d, 0x557f3faa11523f29, 0xe3ed35294ae6af26, 0xc577ff7280ca78d5,
0xe5b300474299c20e, 0x3aafe0f366503baa, 0x251fb73e209e33df, 0x3e28885fcc5193ba,
0xe2dc3ace8bf069cf, 0x9de1d8d1c3561741, 0xc283654c420213a6, 0x4d4d984d42e2488f,
0x700c66a393b50f5a, 0x568c9adbc3ff805a, 0xa0f0536cf084512e, 0xe84680c13080a9f3,
0x90c53f6ec992edb5, 0x85a1a16794842d4f, 0x88a6b99807e765b0, 0x60835a754d24f896,
0x3f48f4c1e3217aec, 0x3b5e362c04c92f64, 0x49e318f7f10b7a46, 0x245cd6e8ccfc37f9,
0x00b7b86f5c1bc4bb, 0x2e1095296cd9f79a, 0x503586f3f889a8e5, 0x6f35d00da1c28d5d,
0xc246156fb25355ab, 0x754341daeacfc3cc, 0xd12c618f1c804dda, 0x0a9f70e4706d1c24,
0xbfeea8baf3ef43c8, 0xf14ad9914f6a0045, 0x790dbfab02f17c9f, 0x3651435f5c0bb594,
0xd7c854314e6546fe, 0xe9ae6cfc8d33e9a6, 0xc8583921e0b9dc00, 0x54f75a9e71f6c28e,
0x71a3856a90680903, 0xd61c95f9461913fe, 0x617d1cd7f4f768bd, 0x5d2c6b7f1652a849,
0x7bc70ca8682e5da5, 0x3eca520d5ab3d67a, 0x4f9394d44e4cba30, 0xaf79ae35effadb0e,
0x0dad63429ad0abac, 0xfb219bba29ac2004, 0x67ae855148b15c3c, 0xbea45602b1374aac,
0xf9464f2fca0cece9, 0xebcfead82d7d95ae, 0x05774c8df003f2bc, 0x8c0c4a09493cf1bc,
0x9c047854c64cbd23, 0x2e9924483b77a110, 0x29ede04b41424905, 0xbc837fb5d80dab4a,
0xa0735c613e5cfaca, 0x0975af08f3152523, 0x2efecf0aec4d0868, 0xa9f04f1882d0cc17,
0x41aec4c124552129, 0x9800fd7667ada453, 0x052aaae7548ac653, 0x78701944c6b3bd3e,
0x1f37e94739892b1c, 0xc122e6e99f26dc6e, 0xec3a405e977e7e0f, 0x9843767bc4c3c146,
0x5e5dc3eb8ae10540, 0xe6921a46aebf54c4, 0xfa5267004f77dca4, 0x24794de1b7f562ec,
0x24f7e67cf814e1b4, 0x7178c44a4ef0143a, 0xdb20e37d5db7dab0, 0x4f168878c2eea10c,
0x2c3c68ec66cd4eb8, 0xba0da78573822639, 0x77e405cdd736b94c, 0x7f2d25a33c75cacc,
0xf44481015a124206, 0x22edb111738b693f, 0xdde445d68cb38436, 0xa821a541ec95dca0,
0x69aacbe181f81d0f, 0xe60c433a8d682db8, 0x8431582d40ac17a1, 0xf0785797502bedec,
0x57d332cebc86298e, 0x6959b43126f369a4, 0xc8c01d95a693f454, 0xa45d8297f27c9b46,
0x269e248ecacc06db, 0x32f7b96bca8931f3, 0xc21ac71fb1500147, 0x76c337937ba41bd9,
0xb92973589f24c9f5, 0xd5226b232e0ec3ba, 0xf4b67cfddacda3fb, 0xab212fd9a48c65fc,
0xca670a3b9be8b001, 0x9a2ff1cb1624df31, 0x0c5cd280d8b5f78e, 0x2cde847c918d085e,
0x8297c2aac028d2bb, 0xe0018b981de45639, 0xa4edc759c25d387e, 0xac007a1418d81ae9,
0xca5a5fc597156273, 0x4e96fa5be40fb1d4, 0x9bcb619c530537f5, 0xbb72562572aafa67,
0x55bc606376a81e2c, 0xd10c63d88febca05, 0x549c31448dbf292b, 0xa707b15a74daec59,
0xd20ec952fa53c3ff, 0x8c166b34cdc88af4, 0x5d902b7ab99a290c, 0xa91c0764701f4c56,
0x8b361ce7fd57d5ed, 0x7661bf74866f8d88, 0x22880b057dd7dec4, 0x1b43fc401034fb4b,
0x9aa6428cfa5a23f1, 0x2e8f7788cba73be6, 0x81cfb0ed9bdcb302, 0xa234782fdaeefa8d,
0xbc0c322cd5ebcf76, 0xf6fdd4721ad18a8a, 0xbe6d9de8f6d285cc, 0xb8dc477dbee766ce,
0xcdfeed13b44572c0, 0x0bf68f12cd7f4a5d, 0xd6e9ab1721778ef8, 0x06dc2d509dd36dff,
0x02941f233b4e7b9a, 0x8dbfcf7b1858ea8d, 0xc814ce259a5b35a5, 0xab57c04047896629,
0x8e81cf678e536e8e, 0xee1de6c58e90beb8, 0x75bda7defb5dc6d1, 0x097e91d1c058102e,
0xaecb4b42fe85c5d7, 0xb7d2e2b6dd609a48, 0xef980a63b516e352, 0x7d114af9bb7bdd4a,
0x674def540b71e45c, 0xac127e4a16adad63, 0x712d888a7db94168, 0x749b34376039d6f7,
0x792b06b8a6cf2cc2, 0x27d1233cbb14cbbc, 0x607f5f455faa3063, 0x3b5ec7083ca864f8,
0x3d6b4f84259432d4, 0x3b92e96fa24d9217, 0x55fd7208dabd4dbe, 0x99971a09756698fd,
0x555327eb5f412f11, 0x27e954832de83f2e, 0xce3335cdea22d03f, 0x154435f5d65c38e3,
0x14754df4b4f7034a, 0xd8bbe59899ca03ba, 0x1582c6df61e13666, 0x5ca1d0aa2c836859,
0x8c53a9ce187aefde, 0xc3c3fa830c5fb22c, 0x3c66ef8a503d892a, 0x2d59c893d6247c4d,
0x22dbb46652471854, 0x9faddbb85e09a14d, 0xd8bccb45f6e6a0ac, 0x23689d009120c0e2,
0xd510f9a6986bb124, 0xad515b2d6c8f189d, 0xca274cadd82c7283, 0x2e3bad4cc4820f7f,
0xdda8c3f3d59b70bf, 0xabcb762114bf9b97, 0xb3561c7402d3833e, 0xc80472bcbdd26531,
0x9c4312cd3c3433eb, 0x43725a824ebe2c6a, 0x3ae684f91eea02d0, 0xb48185acac74505c,
0x7f4bc143bc8ab9e3, 0xa95e14512a58e75e, 0x6b9457b7ff451cf3, 0x38488d6e467f61bd,
0x61cce64fc260a9d5, 0x0968b4ed68a0b428, 0x853587bfd42de1d6, 0x626d92e3210271ad,
0x5b088aa52ffdfe7b, 0xaf75d430888c8b28, 0x05bc40c8f354c01e, 0x3caab0da3beb22cf,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x9fef732379de414a, 0x6600847f1838c76c, 0xee8b61b78f6caae8, 0x8b16c28882692b66,
0x637b94ce46e03218, 0x4a095a74d026b9f9, 0xff2aa6e6f8363863, 0xe5c07e64fbb17864,
0x28c4a3811251a067, 0x149f38a7986c4eb4, 0xb7111c04a65a0452, 0x3bf79845768e1d1b,
0x4799f4451a1fa720, 0xe75f63f3698c4796, 0x68bb690a5b08f3de, 0x6083834cd9c1ff0e,
0x20c3c4fbaba251b0, 0x067c7bdedd6f013b, 0xa18f00c535c6ac31, 0xbc6d15626e922c67,
0x4f387494da8b4f50, 0xce13e7c4d056a06d, 0x3a23034a052ee7b9, 0xb279297f1e3761cf,
0xe4eae1446020c076, 0xf3909bd9aa99c3a0, 0xd5e4da44b451ff4f, 0x1dc7a7d49cb8caa4,
0x821b5665df448835, 0xe9e5c11883be375e, 0x37a32eda61b52416, 0x87f455d74f901759,
0xa380c9b9f04c76b7, 0xc804a25d87937457, 0x66052d593ebba3e1, 0x87c8ad560b378d64,
0x9645adf825cb6cee, 0xdd166304d8bddf17, 0xc66e822210e2878d, 0xba763f799afeb5fb,
0x1e61a9f939351e92, 0xa265dd673c9c9027, 0x7ef019850692931b, 0xb038738417404d2b,
0x63f1bab3951b958b, 0xd6b5784555a01a45, 0xd4a68fc9939ab88e, 0xa50462b98d424b87,
0xc0e1ea039102e7af, 0x4d42a6f03addbd51, 0xc6b279c218116a27, 0x20abda844cf047fa,
0xa5c5dd82895e91c9, 0x468cb72b4f372775, 0xc21bf51cb360479b, 0x617ea7c3560ebd73,
0x8f41aa242ec6dff0, 0xe4ed121e63656469, 0xa57aa39ef645203f, 0x04b26170917eccb0,
0xf0ddde3aa4ca36cb, 0x19a649c2293520ab, 0x14c64623b2d91a4a, 0x5d6548975bb88205,
0xb387c49044dbf484, 0x103137d68995d83e, 0x8537831885090fa4, 0x382a2d3290006bad,
0x375badb305bcd280, 0x1945e93c37a2e319, 0x89ff8e93c9e75907, 0xa9b085de7fc9e82b,
0xdb4248b4369d7bb1, 0xa65ecfb136717195, 0xcae3b3ed8d22b809, 0x36816a8a281157a5,
0x45679767932db635, 0x4f05f81a14cdb212, 0xbd178feacd26a748, 0xd6187c5d1cbad41e,
0xe8c5cefeb4b2807d, 0xa3e054a4fe1e8e4d, 0x8051e78704e653fb, 0x87318c49cf5eecaf,
0xf637ff5b63c0138e, 0x3f92dbb745177ee6, 0x805d8fc906af7474, 0xe8ebf957046fffeb,
0x35f1feab86dd0cce, 0x0af8eebd7ba15f8c, 0x72625d486068c0a2, 0xba1afac055f02dc0,
0x4d77f1f1930c8b8c, 0x51ea759228c4cc29, 0xa5b44a23a7a2c3c2, 0x31d5b7e72dae6e63,
0x65f98ccfac0652e9, 0x025c9247f0abe613, 0x1f554763b44be034, 0xe863b9e157bc0478,
0xfc53353ec40a78d3, 0x38c009b415a4ae63, 0x99a1d14d66b2353d, 0x62bea4be5732cc26,
0x390bdef4e21d187c, 0xaea8c74a6ef1952e, 0xada2df6888e4b970, 0xd51b11ee6bbb7745,
0x7cf8b86552e328af, 0x856e262179bf5fc1, 0x12d81ab85c52b97d, 0xced645b221f8f392,
0xefad7be0febce73d, 0xb7f23c23b144fcda, 0x27abc90aa91c7da2, 0x2ee1908c8f732e6c,
0x6b084bb56d262647, 0x92b2a663d18b15b5, 0xdbcf358c4d621581, 0x170ddcaf1ca26b25,
0x12fee11c1f95d502, 0x51cce12a68207a11, 0xbfae824478469bdc, 0x08f49b31507f9715,
0x0a2144aee2da7430, 0x2f6dbb99029b5aa1, 0xf0ab1af5b1a12fb7, 0x82ef423890fefcb6,
0x77ea9a61206d517d, 0x5b3e059a2139b395, 0xbc0555a41dbb5257, 0x3cdee8baa209a8e0,
0xe9bb25c771c04a36, 0x2e8eabdf95627370, 0x394c710c0a848ce0, 0xfe3eaa4ce4bcca14,
0x4d6b57998af7ca07, 0xbd4fb245a243b83d, 0xb2821b1345a68e2a, 0x4261db3eb338b23e,
0xbe7ef41e0ee3c8aa, 0x55881f02fbeaeada, 0xc995e317b1b8d0e1, 0x89d907f31f10c727,
0x9298fed159820ecf, 0x0db6043292cd0014, 0xcdcdfb13b4bf4eef, 0x234df24df94c2038,
0x353ad8163dc5d2e3, 0x5ecaceff19104fff, 0x32d845e845893b0a, 0x3ca59ff3d8db88b8,
0xfb8732d99f2408c8, 0x2edb89f356b28e3a, 0xd30b99df878a2434, 0x589bd1d260518126,
0x056f98d8d5510e63, 0x3559c06c261d8b51, 0x5d4adf00eab0c6cd, 0x776acd6b44560fe9,
0xf96b5d83df7657ce, 0xa02986f821c647c7, 0x4c55a8151111a945, 0xc1fd6ec0f4d3766b,
0xab67b3273092125a, 0xce0ef31c5d49c9a0, 0x66e5be8a15c874f8, 0x8d24f695c86ec2ae,
0x0768681473f84673, 0x6137b98ac1c15b74, 0x2f7f65a88fa5e0a5, 0x338de1bb86ad7496,
0x1762bd2196284bf1, 0xec2df2926248c5e0, 0xe7dc6193f294be40, 0x412732835815041d,
0x677dee7699794e49, 0x715fc3dad7ebb2a0, 0x28dd0957510626ec, 0x8de471f9cc7c0251,
0xeaae6a2fba802b87, 0xaf706c138dd01281, 0xa1b6f02e8c33d126, 0xdcf432b4080a77f4,
0x38fc91397b30344e, 0xc445c91bf87def1d, 0x8044bdf85aba75af, 0x9ceae19ca32df6fa,
0x3958ff56cbd28ebf, 0x7905a6e806c57710, 0x25df8f1e88684e99, 0x0d7fb46b0e828bb6,
0x57f0ce6fa4b42dc9, 0x7bef3041de8a50e3, 0x3841389551395a28, 0x2784340eaaf46fb5,
0x4d9aa489fba1b683, 0xfea062eddbf326fc, 0x201f08472e12fe57, 0x5b086acdeace4ec2,
0x4babfc8b18fd88e9, 0xba6934df667af1d2, 0xbde5416689bf13d3, 0xd5b4c826a8e01480,
0xa46d3b6d93a34a86, 0xf8025464fc9f238e, 0x98b5910a31d9a64e, 0xa9315e9ae8a51a3f,
0x60aa1d4dbc048af2, 0x9bcc498caa0745a1, 0xf2fc02f1680875ea, 0x843475753f50b39b,
0x0c792e8d2e6b4a50, 0xd4518002dddf5b25, 0x09b8f6d48f71b80a, 0xb895ffab9abf6316,
0x1d08095230c14d4c, 0x02165f50740b5a2f, 0xdc30e36684a561aa, 0x6faa8e4cd9b6fb48,
0x04eba5a776bfea1f, 0xd8a610f555fd3519, 0xe4f6dc46f111f5be, 0xda2ff9ed07f902ef,
0x12727c15eaa9962e, 0x007c81673a67a3ea, 0x7b7881a0b1a7c603, 0x9157e60be6b57442,
0x721860d7faefcb29, 0xe885557cd6865d82, 0xab3b5ccd90a1991f, 0x441afc49dbebabb6,
0xa56f6fd8a5730a5b, 0x866bbe4cc949a1ed, 0x0b9f1b4007fb3ae7, 0xf98cfaaeef289f43,
0x2b3804d48207607e, 0x36c961d88e728352, 0x58a7a6cc2939ed22, 0x32dd96008fd3b075,
0xa57d12b422680de0, 0xbed448bb5e9a5703, 0x5f2ac9f14ec70edd, 0xb50a0e15cb7c2beb,
0x0b8dd681659f68b8, 0x22d46e5b9750d588, 0x078f6f1b85b62eb2, 0x0bdd64205f01ac5f,
0x57738cd009c1285d, 0xeb9fa56be4c3ac2b, 0x013e2c9cd51e3665, 0xf571d379b67eb64f,
0xd1e80e990d5df459, 0x968bdb1ebdb0305a, 0x516a8a4123bf0218, 0x67a93227def04119,
0x130500cc18bbd046, 0x733f717a02901813, 0xc304dd0db3a1f63d, 0x42710dc2da3bb773,
0x2f68c784ac3b9732, 0x18320ca75d16ca7d, 0xbe69220002af767a, 0x97928eed82d544da,
0xdf12cde1cda9061c, 0x393b6e43600213e6, 0xfde30bb301aa97ef, 0x7b77d38cb4087918,
0x39f2620b8c06afd7, 0x09fbf3c5cf1d35e9, 0x81b61a34d6705003, 0xb8607c633c06441f,
0xd1234a856a4786c3, 0x222b13f3355887ee, 0x4d5887b649a1fb32, 0x13b7d7c810d8acd9,
0xac43cbf90a62064f, 0x09b6aa8267fdaf23, 0xfc0fdd6fd2a3278f, 0xc1ff55690e60c64a,
0xd1a1711a1076f592, 0xd09de59a73634829, 0x78ae59d7874d64ca, 0x26f3c52520636097,
0xab6aed8d2ad5f95f, 0x34f737d2595c421b, 0x848a7e7b251d0671, 0x8fc4be01e1dac188,
0xc0a1af6e89161355, 0xc3434fe504bd4dba, 0x0127e1834adf3695, 0x4903cee0f08db083,
0x74f0a13c5948c467, 0x744559a3462c73ca, 0x7278299d145e088c, 0xa57a1ba386a12b8c,
0x193774a92d4c83a6, 0x2343f12b79368435, 0x300907b9ce23febf, 0xbd76a0ae43d37255,
0x1569223b374f6747, 0x663732ecae39e5a2, 0xabcaa71d59a37df8, 0x5347f0e321548a82,
0x07cac5853713c9df, 0xc3a9dc2dd39c069c, 0xad7c5ec78481d09e, 0x9749b01d4f3f4ab2,
0x3f874504f8903d77, 0x8d2ad854f9ef25a7, 0x3dc7f44653241f47, 0xffca3d3b9574bc4c,
0xb495e678e28129e4, 0xa4f99e15aea8eee6, 0xba9434e5e8ec5dff, 0x58b8d5f136a63e41,
0xbb62fc5b75249de2, 0x95252c0c4163e5c4, 0x63b3d6ac6068a87d, 0xbf610fe2a230c694,
0xfb371e30b6b0800f, 0xbf0c60b8cf46fcd2, 0x5f482ee6fd636349, 0x483cf249ee9c58b6,
0xabfd792b92c04f04, 0x37ac505a24cd34d8, 0x15b0e1a4bc419a8e, 0xc054d2736de68382,
0x9664c3eb268e841f, 0x3703a233267fb857, 0xa80503a59dda91ed, 0x9495540e2eb9e856,
0xa4d325ea30b536a2, 0x5de810e06d6f4314, 0x0eebcea9bf7d972f, 0xa897bd70cf24ef58,
0x4aa4beccd2e751bb, 0x3dc7bc22436e0c5e, 0x1083c660b40b0701, 0xa429ba1a71506636,
0xaa9b3d701ba42ca4, 0xd4410dd39174bb6e, 0x4460f2403d1f8189, 0xb74a5b410a66340f,
0x788fea5eb4b7f315, 0xf5743373cfc43733, 0xfb008910f1f9f045, 0xd95d456bbb7376f1,
0x98b9e354032613ce, 0x4f5704777390709e, 0x03d18e03e98200b7, 0x07df6cacfc619693,
0x21a929ae6acdd30a, 0x2bcfecccc49f9dbd, 0x82424cf9b4ae86c3, 0xcd0504d1b894c709,
0x02937d1875a5f666, 0x8ee35731639ca2cc, 0xb2eb2d22a7c64c59, 0x24635467e1124084,
0x6781f74adff370f7, 0xc44fdf1749a8037a, 0xf8fa0ede7126334d, 0xd87799babce18a5b,
0x200d558d4ef6a41b, 0xf3cf45360980d9e2, 0x31c349ea0125bc33, 0x023a3fd256338941,
0xfad19742c8d871c6, 0x65402f1f04faec05, 0x5811c8ba870e8934, 0xb784c5b428db629d,
0x9c04c7f3c631c548, 0xe403757813cf60bb, 0x2094d21b9628d5f2, 0x2e3415aa021355b8,
0x62f586805a6705e8, 0x82fc5c6dcafc6ced, 0x808ed4b119ccd701, 0xedd86f83cc44ccd6,
0xb598993fe5f73f0d, 0xa25dd22507c4cf32, 0xe7a3dc66eeaece14, 0x60ceafe8f0ed4176,
0x02387790a955f77b, 0x554b0dee54688c0e, 0x01528024d2330b1b, 0xa065b5c010aaae6c,
0x65630a0881075bfd, 0xf4d6c3ee80081efe, 0x7ef971d59ce0f60f, 0xffcc24f646da88c1,
0x5c395a8c7e9417e2, 0x8337287cdf917a4d, 0x24681d122b7e69a9, 0x63fa3be7eec4f8b6,
0x25389cba26c1a553, 0xb69f6af4aad42b25, 0x6ebf3273b487a241, 0xb63e4a5cda389502,
0x618c9331736fff99, 0x44458a0d1173de69, 0x633f400283708505, 0x6882cd6263286c0e,
0xc4b48787b55143d6, 0x80061840d5fdc22b, 0xd6521ab280e4720b, 0xda861a17df5597ca,
0xb7fe3d834cf3331b, 0x5ad83df37196fb74, 0x67e567e62dc572c3, 0xfea1e44a98cd99cb,
0x3e894855f605cbf0, 0x9a631232edfa8118, 0x319b51dcf7ac5d94, 0x2b1002ead4c95228,
0xd5e10fd34c18e746, 0xf7b0a334bd75137d, 0x63659771d0778e8e, 0x87f39eabed1fe825,
0x46a59f0935abb259, 0x7c6356aa18bbaf11, 0xabcb9bb888fd21ac, 0xcf572c57f4107f01,
0x4048956956608287, 0x65760b28323a4572, 0x6725e4b3b9faf533, 0xf533038a54477253,
0x193551bde25ccfd3, 0xb3d16ab8a60ccd81, 0x94a5f0200296a623, 0x04fc5920be1002a9,
0x30e76362e3e33f4c, 0x1bad458ce0c5572e, 0x1cbb78605a577a28, 0x0ca92a38d5e34620,
0x7304dd90b6098044, 0x6b2d93f43d2d3564, 0xe0c2cc48d054f173, 0x8d805bc4d62edcf5,
0xc6d5f0469e3fd469, 0xee3d579f412ffc8d, 0xc3e9b7c1e4b02da7, 0x034e4d3fcdc4b7b4,
0x7c80f2421549d7b8, 0x000d0947771fb77f, 0x1a230ef572a69f20, 0x1e418e45c28757dd,
0xc29815a1470ae0b9, 0xb6a726dd9054f3f1, 0xf5e885744cababdb, 0x184d4ba6a8bebad8,
0x1d0ea6f7fbe7558c, 0xf8cec75e3085ad45, 0x5d0189f64fbc6764, 0xf8061799c9483656,
0xa2eaa4394c120490, 0x20578b973a93cab7, 0x8444239149b3e985, 0xbe8af5e989f42d60,
0x32dd624a683b5f86, 0xd4736d9405e9e0a0, 0x870a296be412c177, 0xa4f10b38a633271f,
0xb5e6bb9a18b6733f, 0x2035d41bc89fa7ca, 0x2e321b63db70fc42, 0xfa4c1192ffdd5b89,
0x9622f17b3bf0c523, 0x4406bb9af76a8ce8, 0x01f57def82922e6b, 0xe8b38737442c24e1,
0x3d56ffa85bbb4f59, 0xe30f7432b88014a1, 0xfd2b2922d0551f1d, 0x6d3d0e004158073e,
0x289fad3dade64100, 0x202ed3ea20f66e13, 0xe9ebb92297569b7d, 0xb3444f3e28413484,
0xbc6f7c76a5cc73f9, 0x7e1399196e285a02, 0xc9d582ee454b1045, 0xeea3a632383a2dbb,
0x324611b8ebb85812, 0x20572d18476b668e, 0xa8adb97d4a033b43, 0xe2ae22892ca6d106,
0x6837e25c5fe3b662, 0xd185d9f4bffac720, 0x4aa3294e68bee123, 0x76dde412cb891e78,
0xef4c6c79ddfa62cc, 0xb2b478a018a1ff23, 0x3535f790527a5fec, 0xfff10602c871e4c2,
0x85103d3bccdafc62, 0xba00493118a1ac0e, 0xa76a68f9092ef0ca, 0x8bbed22f125e32e7,
0xe0e4609827741c24, 0xcd1967cbffd237cf, 0x70e56635c15b6ffc, 0x96efb4f6ecbf4f55,
0x74262b8f0adaa54e, 0x02a5db2615066c86, 0x8c5a46022c34d6cc, 0xc4bee67758f08a7a,
0x687e060cd7e3d736, 0xbee0754c13bc47ff, 0x38d9223712dc8571, 0x7f0ddbdc66805a23,
0x757076d9189fb0c2, 0x38461cca224be48b, 0x97ae19ef42ad2d18, 0x87d63875c9692319,
0xf9fd145a67c1f1be, 0x29933932e0973fb9, 0x63630891073366a4, 0x28844cfcff118733,
0xa30bab193b46edef, 0x3591d083f0e740af, 0xbbff7420e363b268, 0x91c6ec36e5f3b88e,
0xbd5e36423ba6c22e, 0x42240e405fb7cf73, 0xe95d3b3c08b3abcd, 0xf8cefa6e85916c12,
0xa69b90e9b8ed4140, 0x2637c7c866297b8a, 0x4a5afd1b9106bd36, 0xa93d831890ec4e3f,
0x15ba9d21108ae928, 0x845a954364e3b3aa, 0xa9398021df698ee3, 0x0c22d039ba9db7a7,
0x1dc7095ec4dc73f9, 0x6f761db47b77ea9a, 0x838a12a2e1fdfe17, 0xff2c3d3f3ca4590d,
0xc947213c19ff84ba, 0x8619d4cdd28792f1, 0x77c0f37cff97f9ac, 0x2dca69532efd892f,
0xba3071f99e822992, 0x9f451fd94b56bb9e, 0x2115dbc4ba1209f3, 0xdbb7681b74f6e69e,
0x6415ec4b4259e747, 0x593568909be18c54, 0x4ad2a315495334b9, 0xa7fb31b9ad769985,
0x241f14f42817156a, 0x5cfebc33e3eafcc8, 0x9b434c91cd18a4a3, 0x2a15993048869096,
0x20350483999fe559, 0x1f3ae7a4d3bee96e, 0x1964f5984e1a9b9e, 0xfb6454a7f0502298,
0x9795610c1dbe3362, 0x97c02d233b987cd6, 0x50c4a34e92bc39af, 0xfdbf3abeb1e772ad,
0x916c1f1312876cde, 0x56840db45cd79429, 0x119c29ef39f30269, 0x2944fc2346b645b3,
0x4a5f59c984210031, 0xa7d86086d179853f, 0x5d49ffd13420d3da, 0x973add78ecf4bde3,
0x0907646c857dbcc3, 0x8c263361a267986a, 0x7e2949a0fc71620e, 0x141387dee9918325,
0x2413a74199be80f8, 0x31dfd46bd2155c08, 0xe23bc194d1c65db7, 0xec07b2b8fa95ca86,
0x6ec72b2195b5d8cb, 0x75410972335ad4e0, 0x4c5b9ba8852ec9eb, 0x983914f7e0d79c86,
0xdc6b422e6f3f1d80, 0xa3ee8b3305342c49, 0x3299dd69c2b019c0, 0x8639bc747234aed1,
0x8f95de0765871f47, 0x0ad12b76345f18dc, 0x9bc2680edddcb52d, 0xd423cab8f3fd857e,
0x7bcd2fbfde6762a1, 0x678229bb6b6c073e, 0x3e2ed9f641a01517, 0x24b895e733fcfe18,
0x889996d74498c983, 0x11e461ea2cc00fed, 0x706ba390740f0889, 0xf11ca030074160b6,
0x01e5164bf75a2347, 0x04bd42da11ac8021, 0x661442c8f604087c, 0x5f6077a3c81a62ab,
0x4ae046b263108978, 0x8929d2ec6d437efb, 0x6f73d5622e467666, 0x465e3a0ba39ff38e,
0xa1bd0f234881e84f, 0x621afe362ab06727, 0x1b28e2f0a0fe7a4c, 0xe1cb10833ddf3d25,
0x9b336cf72c35ce09, 0x476d1bad6f14e174, 0xd154f3b38e6e478f, 0x99a33ed98d8e9e47,
0xa4126b02514cf989, 0xd7adb055f9346b24, 0x3e97fffe373d022b, 0xc29489c58343152c,
0x50bf4dfe64a906e3, 0x614514e12f1e85c1, 0x3e13113f6b39d15e, 0xfaf36b91e4c230f2,
0xb629de52c1e2ed13, 0x667da598b9a3411f, 0xd2ab8a244e4db847, 0x866acaccbaee9f2f,
0x02230d28d934f8e2, 0x2b5301658374ea7e, 0x0fab71421f81b0ac, 0x577242b013f2fa0e,
0xde7eab69260d9382, 0x1c7a132da2a310c4, 0x0bdd1252e68e07ed, 0xcddcd4e9818a608d,
0xd74a85b2e44bacbe, 0xbb05cafbb9407260, 0x7ff6eb74a15fad81, 0x43c5be114b667abd,
0x39e28cb30560d7be, 0x20a09c0e1da7804b, 0x4372ac27af480058, 0xcbf9ae705f471562,
0xbf8b5a07e5c2f8aa, 0x8e6351d8d5e2ed4d, 0xb3791878fa2bcba2, 0x1e1438e79e8d53ad,
0xef89e9e1f930c13f, 0x25f035bb1504c5e7, 0x13a1061a3d3b20d3, 0xe04d5d02c47dcb1c,
0xa895b1994711366d, 0x7c3e2517b54006dc, 0xbd279e703dc6340a, 0xfb8c2421e45648fa,
0x69f21b883146c396, 0x30761ade5edc805a, 0x7fae01b63c5e9e75, 0xa49bc45a3a12d828,
0x58761ac1554623e3, 0xd60863c3d017f31b, 0x388cbfca16604022, 0x3684aef4174c3474,
0x1c41c0e898fd9004, 0x841f102deea2b3b4, 0x5f7c8d1b0ffef836, 0x6e147119ff0fc8c6,
0x61b4452453c9ff09, 0xb838a7be01b415e2, 0xb72fc03946f8339e, 0x3d3444ef353cab92,
0x5bbba2374ecab2a2, 0x4d68cd2e21d59bc0, 0xfd6aca5841378cfd, 0x58b0425bb787dfec,
0x20171a7f29927b5f, 0x10356998303e34b6, 0x83ad7440d1e90ecb, 0x1308b3b699d40af1,
0xc6bcc1358103a4bc, 0xfbc3f0a9ec6f04e6, 0x077721dc618fbee6, 0xa516d96196bd0ae0,
0x187308ad161fb1bd, 0xe4cd724e202238e1, 0x1fa733452bf5b3d5, 0x4d3a28c287ff47e6,
0x2e724d97402803ae, 0x6705fc9ac7210c05, 0x28ff71c27553d7da, 0x801cea05bbd29bf8,
0xee8d9c565cee5cf0, 0x7da63625d5544aaa, 0xb0b9898b51c28fee, 0x5614515c96500a87,
0x3e7ec3fcd3c7b8de, 0xb5b6304df70d3bb9, 0x4e51967a36b75a88, 0xed544c3202c19ef8,
0x80a3a47300250716, 0xe9e0cfa10d17867c, 0x2ad7465bace57593, 0x80f025a95dd7c7f2,
0xd2ef04d30eca591d, 0xa063dc397ccfb811, 0x9ddcbb74bebbcd8b, 0x88a94374f1c67bfa,
0x950fff67f2823fcc, 0xbcb1b200cb44304f, 0x0fa29b343dab9b04, 0x6238724563f84e5a,
0x3f7ec27e515cd3d2, 0xe4d6cbd29fd50ad0, 0x635bc6f0946ed6e4, 0xeceeac0b89981f8f,
0xb68727738843f0e2, 0x70977a16eb0d5086, 0xf675ff429128e6ac, 0xb2063d29d122d0c8,
0x78367280611e49a0, 0xfbb53afec9cc5286, 0xed5d984284e865ac, 0xc426e160baa632d5,
0xda0c7f26b03d30de, 0x0acb933da2e3fc1b, 0x2dcee7ac6260b8ac, 0x12d171567d706e9b,
0xad58d4d84f10be49, 0x6a03cde7d03cbd85, 0xc0d05aaea248f9ba, 0x05ab9bb6d94beaa6,
0xf910b641c41567b5, 0x72f4c29142685c56, 0xf16d64e35e0a12d2, 0x479fd9f777a51fe5,
0x8fee9b0cd5589da0, 0xdc97f62c5f5ddf91, 0x6ac41a9ec61670e2, 0x1be76352443729fa,
0x8eeb2c2f582b0267, 0xe8b2170cbad11487, 0xac92cf3efb9e8c1c, 0x2f70a7cc43f12256,
0x87ab2d4206bc3bed, 0xc9b1bd19ca9599d0, 0x6172d7d9fb1716a7, 0x40294a18c6fddb78,
0xa3c138da881b1932, 0x69c024bc174c8959, 0xf2992df6a1800f1b, 0x6350b03c68bf78ac,
0x62ab3213f0813641, 0xf998330530ee8e6d, 0xac840221f6421369, 0x7c9e0277daf9efc0,
0xab7365fe1a2af31b, 0xaff7f31df55030f0, 0xb91c1f713fe013d9, 0xaab51b9cc2377bf4,
0x6236a954dbe14a3e, 0x2dcc3ef4e86ed5c5, 0x9a83bb951ba13113, 0xcc5f5dfcc8033ca4,
0x2888fdd747223e81, 0xd89d216bc633c4c4, 0xffc8d99fd45ac8d9, 0xbbe7fedd2ac092bc,
0x2fc9090510ee3e21, 0xcef1b0191d043894, 0xeab83af140bdedf1, 0x60c74049bf583907,
0xb1384528425478ab, 0xc760141c34196630, 0xb38ff9a06aa4def1, 0xf56313994f1997e5,
0x2578331137c0379c, 0xfe7e726097da9ed0, 0x5218a443a9a14871, 0x14e89462ff0e898c,
0x3a9e469f0513485c, 0x60efc20a6fe192ab, 0xdb26072bbfff240d, 0xbb6c4c4509f1e679,
0xbd02a35c1bc284c3, 0xe36992d0159c8608, 0x25405aed9d2735fc, 0x6ca396aff2acc338,
0x03523baee65a6f0f, 0x7a9b225177ff8f19, 0x0ab9eff4f2edf9c0, 0xa99146175cc68007,
0x8cf2038cde83f0f3, 0x9aaccc2a4ec3f906, 0xd087d8971b893efd, 0x54e8be5a6e99c971,
0x576e73372fa3050a, 0x5258648fe9b0e237, 0x84cf69a83c3681b5, 0xe97e16e65f202603,
0x583cc7cd6146944d, 0xf2c1e887fa65f387, 0xb1b274a7554b9a60, 0x456c85111567972c,
0x2179f035331d7d67, 0x1f727f75d0dfb362, 0x5cc7ca857d97d4ed, 0xa113a416609b636c,
0x3b1fefd1129c7b2d, 0x02136ec852ce759d, 0xb3c2921541bd0f03, 0xb63e50958a333578,
0x0455bff44eb99742, 0xed8a38dcb30132d3, 0x09dbc2265ab76f0f, 0x4439225d0138842e,
0x708636fa22d6cc81, 0xe2b61ed7723f0d2c, 0x82f640fb7a9e0809, 0xef0bc0b0776ccc8f,
0xd88072fbdcf66737, 0xa4f4a722a57a224c, 0x4b102d19806f7ad3, 0xc1e8f41144a07b50,
0x48b5b6c09b73042d, 0xd7f9d7855149aa9c, 0xa8bfab5b8fe53870, 0xd40818334b097e43,
0x5ec751f9277cb4fe, 0xe7321c84a3d63268, 0xa49ddb33e1e24897, 0x9edf0273dc5f5bdf,
0x371cbed58277a969, 0x580526e03e6cb4be, 0x850e8343c7fa0894, 0x00dadde39b113b5a,
0xf92c75842fad1fb6, 0xaa9420b9b39801f3, 0xf91d6afb9c5cfa7a, 0x2598726ab5c8b410,
0xa6fe83f1769ee468, 0xf98d66461a2df6d2, 0x75f8f2befd3f618d, 0x6f3b43d59a63877b,
0x7019815f3f7f091f, 0x00d5ea8b79035001, 0x550a39ffc686312a, 0x5e70b67b41d5925c,
0x773d5fbe9a9b106c, 0x3907f1658336e22b, 0xb581ade72a1767e5, 0xb98987bb986200ee,
0x0de527f1a412b1e1, 0x8301558aad946cf1, 0xbdbdc5d094c91238, 0xbc07fb3c21980226,
0x60ccb10015a2b0fe, 0xda458504337ea8a2, 0xc2b18b650a26e706, 0xa444c73bd97e7abe,
0x436cb31f2c2e7692, 0x7488b65d32babb6d, 0xaf0b435fa7777ea8, 0x334f7a71449246ed,
0x7ff6588146258121, 0x6322cfb8cb44c624, 0x7c41fd7d30ec9c19, 0x0a1b7e851c6fdc1a,
0xdbe44f5dd47d5aee, 0x7f6492db639a0023, 0xd33b75ee4c230ca7, 0x4302ec8d95af0800,
0xc02999523cabd7d2, 0x6539b0b2c44e3572, 0xab7be2442cbff7a3, 0x5219602e71ed4467,
0x63d4d866d6f51f1a, 0xef67e300c694d351, 0x5793494e86588b5c, 0x44a66da0326f144d,
0x27a528cae343b10b, 0x055faea79a8451e2, 0x5928e4589b8f4308, 0x83e67cba9034953c,
0x1c22e1a36837affc, 0x27393e3215ede47f, 0x11d5aef3a7030d7a, 0x4685001ab9db497c,
0x09ab6ba404784ed3, 0xe0e81379427e0fac, 0xb1adbbdfcd29a6a2, 0x6b523991d5d3fd55,
0x849f890e01046f8b, 0xb76b64b6e4aabd8f, 0x3fba0df733410726, 0x93b30912b88f2df7,
0x133d2c9358ab0205, 0xe908000a463c886a, 0x1278a8955e86137d, 0x1d42dda914ceec7d,
0x7e22fe89922a9655, 0x144c3345cdf4c9a7, 0x10f008929273c0c8, 0xd5105f0f71145df3,
0x0eefda26b8146836, 0x8d5aaeb498b8514e, 0xaac27129ea5cdf7a, 0x3539b8abe5d0173b,
0x24d2be6b99798d92, 0xbb00a94780acec6d, 0x0db9e5cb566de4fc, 0x3f96b59bb1f78265,
0x7517d7bd0762d645, 0x9e2dec7ede0a4d4c, 0xa0710a03de8cc0f4, 0x34ec582c98d57d6c,
0x6b4c1ef15a1902a1, 0x23d448533d568c2f, 0xadb51adec854ac7e, 0x5a49fad59014bb19,
0x82490c2ca0c68b59, 0xf211e228b24df1bd, 0x8b4c64cd5c1149f2, 0x4fa566b280293697,
0x2965421ac0c9175d, 0x63804e7fd15ee9c3, 0xa0df2ceaf71391eb, 0x99f318aafe0c0508,
0x2bf942acb0444871, 0x65a5aedb33ef8f22, 0xa31a8120da0d0f12, 0x72021b1cbc331ee5,
0x01751d041df1267f, 0x357282823abe1b75, 0xc7e779b369268b83, 0xe826eef79f35bdf3,
0x53cf452cf37c5d6e, 0x6b67fbe70d8c8b98, 0xfc6668a22db81881, 0x5f10567d90b1a596,
0xec3402f9bd829b7f, 0x3f46d8d987b34c61, 0xeaec6ddb3ae03509, 0x933a79e5f5a212cf,
0x8b6ff33074e9e07a, 0xafbe69aca68f88ac, 0x6a98eedc802c3c45, 0x920d891e1279b10f,
0x52c6b59b2ead195a, 0xcf1fcf310c0e34f6, 0x57edc267e94de68c, 0xbb8b23bfce5ec884,
0x5bb4792e2b262ec7, 0xf80a0ffc881c66d1, 0x178420ad01233906, 0x73b30338ffe6e388,
0x859db437bc9eb680, 0x856671d30ed8ac45, 0xa07b1e4e541e65c9, 0xffc26f287b1aa856,
0x6c150cb36c2fefd6, 0x838ef06a97adf2c9, 0x4adc32828033f45f, 0x6506924144773163,
0x242bf6b59af8a638, 0x69d69be2d3efb811, 0x063b92b4ab7f384e, 0xa9d7665e499282bc,
0x0cafe2800a9419a5, 0x2dc6a989a4651d9a, 0x66d3e063a8024bc6, 0x2348c5ad26d87da1,
0x46689de965067fcb, 0xd22fcc06425a37fe, 0x7d0707145270c92c, 0x70b5d135dc0a67a5,
0x20bc8ffb9b6f49ad, 0x130e451a4ec90bd6, 0xac947430ee8635da, 0xfd089cc08031e9cf,
0x25db8e6d71b0da03, 0x38bfeef0c5f0f8e8, 0x9cdb6d55ca5e3905, 0x78d2e38b50dd03ff,
0xb8bf1b99441abb68, 0xca42ec87e7eae143, 0xd61c53e1abb43c02, 0xf388f7eb83e14b9a,
0x6164b42fc31a84f1, 0x0126e6c400e35c83, 0xa187aff5248e0e6a, 0xdea8a1e935f117a1,
0x002926d861971d2f, 0xb6fe415686b0a31d, 0x98c0d5755ebc8513, 0xf815c738ab21d47d,
0x77219241d086ad7e, 0x5747d5b7373dc644, 0x40f40d1a3bf7a11e, 0x97abd81021596e64,
0x763ae3cf980fc763, 0x538f09e601b0af96, 0x53d836fd7878bdbf, 0xfd071044951fd869,
0xfb037fdaa7b409ac, 0x24dd9dd97459ec71, 0x33fdb95b1e4811b7, 0xf5faf3841e6a7ac4,
0xe86d092b76edc4d7, 0x2854c623e3061c2a, 0x0fb599fd937ca40b, 0x4eef20d9343cd0f1,
0x26c8b2e3cc2da7e2, 0xeb93781e8dbbbce4, 0xf58538b7173ae8e2, 0xbcc1732e68018add,
0x8f068b9dcd87aeb9, 0xcb0c2ae33f541f81, 0xcdc817b2e132866e, 0x71efde46046829c1,
0x9313703558af2c98, 0x019b40abf6ffb62a, 0x2e71f907c2612ab8, 0xd55916e43f0f8dad,
0x3613a0cbd3247b66, 0xcbc21929b651c8e3, 0x3bf7b6d4328e304d, 0xccb92a98a3feac1f,
0xac795d805ef52629, 0x3aea792dd673c970, 0xb7a0cbe1039f3ca8, 0xdbab52fd5c14d5a4,
0x14c81bfba4109ad1, 0xb5874a356aed5f6b, 0x59db68f26dc7c176, 0x31c0d08cfa1b6488,
0x4df2347994acabc7, 0xe170e07a8650b94c, 0x24a8465def275d33, 0x18a4f018ed4fa268,
0x59b97ac4464d308e, 0x9e8283d5654fe141, 0x1557b8fedda84496, 0x2158cd9d36d9215c,
0x9f156744c0acb685, 0xc5906b07b0695d76, 0xa5a98567443c8101, 0x5dea04627814a8a3,
0xce9f949163b77f66, 0x08b8579b91ec3b7e, 0x3bf1b8c27c90b9c1, 0xb86ea4d1b2658221,
0x42a8ec970d613a99, 0xd856c9d6a3cf44a2, 0x3541249c994b9814, 0x50c624a99794d479,
0x51ac98038e4bb1a9, 0x24f4d35bae329b40, 0x8e18f79002951e01, 0x7c12f2b2d2e5d1c2,
0xa56503d846168ea5, 0x1aa827943a256d45, 0xc8d8d3f44d5c8530, 0x0d9e3ef491208646,
0x40aecea6994ebec3, 0x3e1f873884c696f0, 0x0a94030375fde069, 0xcdc7b936ed70d10d,
0xf9e97fa4f8ff300f, 0xe87e7d3870ae6a6e, 0x6431b975d2ca0a82, 0xebe138519be675eb,
0x08cffa8376b0a3f6, 0x342ffa303b3bd90c, 0x838fb6651ff19c9f, 0x1c625f80ae810167,
0xaa72752ed0c9969e, 0x686209c30cde7420, 0xfdafb54703d02265, 0xe0c7fde129603896,
0x87e197da439a2875, 0x3cd074a5ea8cada7, 0x43738d3936ff3acf, 0x607d15d25ea90e73,
0x176ff04511c7188c, 0xf2a30e44c457a90f, 0x5bab5009f6ebdf0b, 0x471bba65a7548aa0,
0xe0be5347b0b3c833, 0x82680bf0f4405552, 0x93cbaf577ce1c0ef, 0xb7b0cafdb9e4ec07,
0x47672f4b601d2d96, 0xe6e00aba4873cddc, 0x9b566e7814f343f0, 0x5d0cfdf2e4f74609,
0xec304579ed0ba984, 0xf4958117f2ffe6df, 0xe5c6430cc330c952, 0x89a2d1a7cb8b9021,
0xa0df5cda7327c350, 0xce56fec1c9ed720a, 0x347048f13a7764ec, 0x49545a2e48d1cc13,
0x6dcbc8b37b715470, 0x305d14c8aa534f13, 0xf28cd936027755f8, 0xd141258f2a3a7ef8,
0x7eb05ea4fcf6270a, 0xef75f784a6c94950, 0xd8c635a443eef371, 0x83566ba5c4c535f7,
0xff9a389bcb075a1d, 0x8a3a4d4aec645142, 0x5073ac4a6b78c110, 0xbc28252a5aaa129e,
0x61357ed3f5632def, 0x3e7403074f500987, 0xd80387f2389e26f6, 0xfd8167081c95fbe0,
0xa3a59e3d26be9880, 0xc9b80a6f56c5edec, 0x8bd3bf564af9584d, 0x60bcbd6aa1546e50,
0x92abfaaf21cd0989, 0x8642760b00b74d20, 0x650588b5c5bb38cd, 0xe0bffa237bf11597,
0xd2bbe6d1470fbfff, 0xb2e6283843a098b7, 0xd87ea5ecef8a3160, 0xa88fcfefcfc50a78,
0x344ac5ded52bef7c, 0x0097f4908c79d7ce, 0xa354431d491e7e0e, 0x2a05c657362130fe,
0x0e77259201495e10, 0x3ce5002f63285c91, 0xfac64675d3acc69e, 0xf514420860440002,
0x1b39dcab8c29c149, 0x17988680f4fbbaf5, 0x6dbc864e5ccb1029, 0xacb819cd1bb19222,
0xdbd13c2bfbbc98e5, 0x7121042165396941, 0xca010de781bca904, 0x8d1c40e9e07733be,
0x3e474eaf98e189ee, 0xaf8aaa88bc62a718, 0x5deb4e24dbeb7c4e, 0xdfe4b13c3d7db078,
0x3a30df45461c8379, 0x3e69ec661e5de183, 0x76ac4a1851c13db6, 0xf3cb0d4974c966fc,
0xa6644a88d5bfba4c, 0xd840688f80e15aff, 0x0d7adc64d8b3ccc8, 0x7dc204824781df39,
0xeebfcecf5e4ec802, 0x710d6867d2763202, 0xcf17cb58e9a748cd, 0x9f3de7775c80a6a5,
0x5e38d52f7269bc30, 0x9a4cc197ff5b795b, 0x88ba66d8ae47dfbf, 0xe8c4ccaf3de36249,
0x8024d3dcc40031e7, 0x1f44397a585fcb33, 0xf4185ab72a6556e3, 0xc08ffee9c939b9e5,
0x40118c9efdc86a41, 0x659bae5db968cd1f, 0xe2f419c026037925, 0x206fa830ccb16889,
0x803c9b8b0bde98d5, 0x10622375cba67f66, 0xd74d2a653001b954, 0xab1311fc41125709,
0x25e0a7cf20477c7d, 0xa084ce509b78c057, 0xda960101c166ed30, 0x6e3e99632767f4f7,
0x9b7f73492cd01ee8, 0xf9ddcbbaacacd201, 0x4e299d67b2f15c2b, 0xb6d0d2d06ff812a8,
0x4050f769c25fed67, 0xd48ee3afcee45de3, 0xdbd3a38851c59076, 0xc339fcf63331cf72,
0xea1a485912bbc1fc, 0x5f4588f41c35102b, 0x63c9ae9a4efb616f, 0xc617d1f845630275,
0xd2ec1b2299b914bf, 0xddad170ef0b48ea9, 0xb58149d333e21e88, 0xee2739f4f25738e4,
0xe475815a18b999f7, 0x229e7d6488411432, 0x442b7fef41a713c5, 0xe79ccbde9a3814c0,
0xad89f885f9bbc83b, 0xf83ee7fc3a4312b6, 0x63c24d66406f7530, 0xed2d93ecdb9193ec,
0x04c360f33bd81358, 0x55f12582eefd7cd5, 0x03665f4ba1aa4681, 0x9aac2afd3ae62979,
0xede1db5a9a92078f, 0x7f649ce48e29ec83, 0x73d715bc0e4a7141, 0xf75f9600690c24a8,
0x529597ab7ef015be, 0x22a7696c7c1e8439, 0xca56c2561f405e6f, 0x6cbd4a0c5706a954,
0xf8f97b079dc698a1, 0xbd7ae808cf7a5bef, 0xbcf38705abcf9804, 0x837c0f8411eb3426,
0x4c9f70764a9beef8, 0x2b8d1614ec49e8b4, 0x942a2484a75ae1a5, 0x1f3a96e04c52e10e,
0x2a9e6cf2caba51e0, 0xd4f392488bb40f66, 0x3d049f81a14263f7, 0x1efb9779487a692d,
0xe64bbc741fb90ee5, 0x750cc0a76f252081, 0xfc01af620bb64a6c, 0x03a8bc50607ab4c2,
0x989669e019c573ad, 0xedc31de4fea1d8ac, 0x88c14a69a48331ac, 0xc4394ea7fd9d06b9,
0xaa5c37f06d82c133, 0x71bb0ba43cf79e8d, 0xf33e40cc3b14a369, 0x477d5884ac2ec468,
0x8f0c10cdd55bcfa1, 0x7652d47c7f4b6cc6, 0xa484eb4290e5fc58, 0x0cc42a5346593f10,
0x05460e3442a86bd0, 0xb93e0ce4852b5cc5, 0x564b2c9ee56fdf4c, 0xc20d817091a1f201,
0xd0d7526ec2626916, 0xa1c2b8f61a63e38f, 0x0edbb00df5e7ffbd, 0x3dceb1df765be25b,
0xc4a94f5d8b82ca01, 0xffd3449c9c12138b, 0x340b7d2e8ad00203, 0xef8e8226255e94bb,
0xdbf7afb91294c5aa, 0xf10f4e2250bd922e, 0xeed3a7f344d7b8bc, 0x26bb405b427e22cd,
0xdaab9fe34bcaee35, 0x9102466a85464ce9, 0xf07aa034065f910e, 0xd6a588529d7528ed,
0x9ee581c2fe26be5e, 0x3bd5133eb8cd90d6, 0x3c7ef2a6f11f152a, 0xbb9d0575d9185c23,
0xd44882bee2c908ce, 0x2b1133213f06e348, 0xbc7a8008e26335c4, 0xeede4a0a5a89b5e2,
0xf1ff588abd41d9a8, 0xe91defdef7be7f37, 0x23ef7812e603e125, 0x50c488c831074e23,
0x591f93ff0d0d8691, 0x549aa39567b1b148, 0xbe1912dfa454ab0e, 0xe10f49d0b36c5fb5,
0x02bb041d4d45c368, 0xe35f0c192d23fa1a, 0x014a42692bc5932d, 0x669e6f2a824f10c9,
0x87eaab66007bdb59, 0x6a83f986b33d1e00, 0xcad3574a8fa64a47, 0x2dce6e1c5858d170,
0x02d5b0fee5508e7d, 0xe19356c00df8823a, 0x87d91298cea26403, 0x6ffafa09d4e9b151,
0xa543dc8d266e52d0, 0x8370e169b7f5eaf1, 0xafad6efd0b675aaa, 0x3e6b92fe3f18c218,
0x8f825787566de840, 0x0d54e00ba9b44365, 0xd9a6bca439b42e7f, 0xd1836265974fae60,
0xbb0f622e2ca9794b, 0x441576cc2191ad04, 0xe8de465c5a28a796, 0xbdc5d9843cc5df80,
0xe46749d009c743f3, 0x4832f2e97fba1bb8, 0x1ee8346d6b1c59af, 0x2fee7325575a744d,
0xea6ea8bc14f832fa, 0x09921be95b586aa2, 0x9ca27a2e63275cc5, 0xbfadf8dc32b9220e,
0x20b2e513671afe72, 0xa438f78a19f5720e, 0xb3773e1c0006aaf8, 0x7a3e60ba34b5c447,
0xa7ed53afc01d385d, 0xbdb87cd72e4de8e7, 0xf37bae30a87c91e7, 0xfd5337e1bd545b4f,
0xe99c1c8944899014, 0x6c618bf02a04eb9f, 0x9bc39c9a5ed2552b, 0x4f30d0b904156efb,
0x1fc2f7e2ab3977af, 0x3eea1443727d4873, 0xa16b28e209f068d1, 0xd8ca7a65675a2a13,
0x9008a855ae6b97a6, 0x4f71c7ceafdbcad6, 0x174bd07a5b10e3f4, 0xdf53300605cf6a46,
0xd564bbb8ad4cba38, 0x1229a32cb8667476, 0x0aaf0cf013067db8, 0x8279b13f76460e33,
0x6c9798e58ea1892e, 0x1015dec51527947d, 0x24626c805758e0da, 0xcca536d820d6157e,
0x779323319b13e5a6, 0x3d34d5274d7ade5e, 0x2580b553862bb9b6, 0xdbbdd72614c162b5,
0x2b2fe4950434d7f1, 0xc9f6a7b91d0ee020, 0x0ca907d9911e8482, 0x58df292b3b54e54d,
0x67bf1fd23db1a2c9, 0x14cd54e7ac806031, 0x0880d81c49b33931, 0x62d81bd8523deb8d,
0x8e0554ff47245685, 0xd1a9d1fc43c7d559, 0x2e484468db0656c3, 0x5a3225a3e3e2a77b,
0xddb15b9a10a14d14, 0x1c8e87b4624ecbda, 0x1f0c02a737ded2f3, 0x6ef7658d997c8ca3,
0x22a6fb03325b4a92, 0x99f7b7365f176ade, 0x24baeb560080a886, 0xfc7d201a285f6ab9,
0x43c2caaaad37d462, 0xdae58c2b758b9534, 0x5a0b0b579cf4fac7, 0xe9f6c9acf902e7e0,
0xcaba45fe60521b22, 0x1ad5aa47bb7d93c4, 0x9304d47316104f23, 0x4cb665db75d73e8a,
0x510f27ab7f8e5bba, 0xa3647bff75b32fb3, 0x4b3c688175f26c3d, 0xe595fc88286d01fb,
0xe20d2f64e2f94c84, 0x85c5faa1d13e8fdf, 0xaa77cfaa03e9b321, 0x94431c6f20289385,
0x5541bade2ba2805f, 0xdb0c4711eba0f1ce, 0x01b24be6e4277182, 0xd6aa881e8e1ea548,
0x11be17c668e086a4, 0x7a02fbd33c570880, 0xbd08d491ba1fba11, 0x6ffa057d6550ff7c,
0xa40746e66af6cebd, 0x4526db2b09c011b5, 0xba50bda98cc246c0, 0x3b82d16101067c7b,
0xd347ed714cfdf10a, 0xf768a9563f545755, 0x0a94f5e871bde0bf, 0x407b6cae1450d616,
0x31d5158eb2d1e902, 0xd5b8aeafd4ac2335, 0x8836d90acd1fedd5, 0x771ff10de417a6cf,
0x781b35bcdd77481c, 0x0e156f8b58d26e28, 0x2a73fbc632bd3cbf, 0x945562a4d6e61fb0,
0x0c9b97937482504b, 0x8d00db9eca1b5bc5, 0x15cc3cf3a67d1168, 0xe958ad350d2397b0,
0x5c1110c84a9bee4b, 0x6a53eaf70438ef22, 0x39b8dd62a1a0ae2d, 0xd35629f07e106b01,
0x5d6e0f6101fbabc8, 0xf88b84ffc7b4b0de, 0x2e93e19f4defe581, 0x8faa6fc837d30f56,
0x2afe53e336e4d051, 0xaafdbebff4dcabf6, 0x7ab440a7ec5fb90b, 0x6357983e799c2076,
0x53499a8abeb757f2, 0x021ad2f4de1211ca, 0x73671f7d52c61a0a, 0x30f1c31cd356941c,
0x6d79743867b0af5e, 0x93440e3a66cbc917, 0xbc4d4f11638949e4, 0xb378722bfd881fe8,
0x63c24f70e5937e91, 0x9b04c536979896b0, 0x69a0cbdb7451d059, 0x9d10cff70f4d47b1,
0x6423e9a605dc3b29, 0xee5ed6a1189dd6cd, 0x9ee76ad15d37d6d2, 0x825371b07cf0cba4,
0xf343c33540dd2f40, 0x167ae2fa35f5c00c, 0xc4bcbc85beb9c9de, 0x176108f0d7da1b6d,
0xc64b2c9e07a5b776, 0x4c884223a4280018, 0x91670a60f2ea2f9a, 0xac0b2757a357e0de,
0x416377952afb6320, 0x12257cb160cc54f0, 0x4135242c487456cc, 0x6a5de8f4130a23df,
0x47ec941026abe431, 0x15a8029cde62e1ac, 0xd68309ef57324141, 0x0031e9caa09accd3,
0x8e3d59e527212e9f, 0xd158790ac03a3471, 0xb5f590e0a7692d4d, 0xffe1068be1c2c0fa,
0x5074094a0753688a, 0x90449e3c9a1c45d2, 0xc113df6068ef0b45, 0x838514c108fb9ef8,
0x2373d9a5116d319e, 0xcff1a7152400ab3f, 0x9df5debee6f93a75, 0x3876465df489bd27,
0x87f5ff100fc0333b, 0x54c15aa299deacde, 0xe83f537c4cdb8c00, 0x39f8c35044cf4bb8,
0x240528afcfcac9dc, 0x8d230fd2d5e8b3d2, 0x68491711a442fe56, 0x60914be85c94fbbe,
0x944b30314eb9acc0, 0x532608b5f5436c42, 0xdcb22c193ede0a09, 0xd0edf5c7de9a1846,
0x0f0a3efcfe2e4404, 0x791d4bc421a304cd, 0xc324f337e22c2981, 0x89984847a8ed8f52,
0x5bef9298e67b3701, 0x8f8dbf9a1c108d8e, 0x5ea1867c2a92f67a, 0xe92e37c88957ea4f,
0xb60b86b02b127eaa, 0x1f4285451b92f882, 0x54b58d6e58f541dd, 0xfa2d804cce156a96,
0x905f9c4cfef8437e, 0x7a7139153018644b, 0x710fbbf104b1e397, 0x340b67047c7de8b0,
0xf38fa7d13abe2143, 0x4374414f4ca6aa8e, 0xd280d83f25a7dc3f, 0x7d56917cf067f5e7,
0x3b1da956532fc65f, 0xae04462c1ddbe350, 0xe852b43eb3a9265a, 0xb1712fb428215f00,
0xc8f4fa7ec907f065, 0x46e99f27a7ca0dbb, 0x6d13f18fe4a1701b, 0xd78c2e5c11426696,
0xba077b1a9b30c4a2, 0x1c6286e7d7071d8a, 0x818c17145b5338ed, 0x5ec769fdabfdb6a1,
0x12405c2ea1a99be1, 0x838f8325f0a20ce8, 0x649e291e073ed8a0, 0x6d59225a4be12c43,
0x39d58e1e19fffcf0, 0x5f954142442cd1c9, 0x04114814e3c8077e, 0x1e18919041e88178,
0xe751c607992dfd69, 0x52883c269284ad0d, 0x8d8c1cd11c0bcbe4, 0xffdddf6d42887e0e,
0xa61626039fbc11f0, 0xa358894101a43d25, 0x15a0e39786dadfea, 0xde52110bb266ffcd,
0x789cf787c26962bb, 0xa8307193c746d77b, 0x2da298985e57c79b, 0xfb253abeb4af0d38,
0xa7aa369bc28cb23b, 0xe619dddcb9f67599, 0xcdc779bdb6ea8903, 0x6f7e4a3c3e826c3a,
0x10dbc2eb9f6577b2, 0x3d0844e07f4e3ebe, 0xacd58279214aab25, 0xcfb3e262c372883d,
0xebe100b854c85b95, 0x09c1308e870b6293, 0x3ea7b0cd44708a04, 0x7a0019fa0cec4a17,
0x79d3b45184f2a736, 0x5468159f5b45bad7, 0xb80a87e28892ca36, 0xc6efcaa562dc24c3,
0x455b590791ad3ff5, 0xf2dc0db5dd191c1e, 0xa2f57ae6ce6c7a24, 0x4185a0add71eebee,
0xbbb4bbbb764cd586, 0x9ee50324166cf005, 0xac9bc406eb6944f2, 0x47cb136ef0177b40,
0x90eab1853f9d3817, 0x64159f8f8a7ba82f, 0x0b4f830186dc316b, 0x9f558a730108a8d4,
0x313ee7d95633a7d6, 0x364418f65f236313, 0x193ba1b06a2aeff4, 0xdef0f7f8a1287c8e,
0x6b3b0acc6e914d2b, 0x4a304aabe71841f4, 0xa814c767d926c645, 0xa63c960874b007a5,
0x9fc9ac26c74fae82, 0xc8c539c0e8559b8e, 0xbd6d3449e7cf7b58, 0x9de03081bbe18e5a,
0xdd3c4c26c7ee2550, 0x2b65d531629f3caf, 0xcc0e0275864d009c, 0x4d7121b1c229f15d,
0xa14f4423ef690b3b, 0xdf61d843a8db75be, 0x567d5393e91de71a, 0x099ba1bdb7a389e6,
0x3f88703baf7eff50, 0x1c14d5077fccdbf1, 0x3083ce559861e47f, 0xed4cc8aa155c2421,
0x3f21ded2b6e86f3c, 0x5b76905eff8d5e20, 0xed7468bdbfbb0f53, 0x40bb7c90942f2f1b,
0x53afe034040b27f3, 0x2ce0c2a1a793bada, 0x94c033ecbc6e1704, 0xb56d92eb6202e285,
0xb768af8e184389cf, 0xa523162c0edb9217, 0xe93f9a1e666969dd, 0x1b34ae8a5757d80e,
0x7ef66dfd633bf2da, 0x489e6399c33a1de2, 0xef247db583920e63, 0xbda35894ccb9ff09,
0xeb2e51cabb0847d8, 0xaa37dee8bbf2993b, 0xc7afb6930f1ef16a, 0xdd372182c3a8b8f8,
0x4ebfefe95df3a7b9, 0x089d062711edd073, 0x8e1f6c56434324da, 0xb7ee7e34b4ef3970,
0x7e09a61052b66d18, 0xade447874d7bb760, 0x09416a6a2f4f3306, 0xa70c4c4824721dea,
0x88060cb742bf2b70, 0xecae6713dda5240d, 0x176dc8cb5b627afd, 0x668252b6a0cb92ad,
0xea8dac8df082df12, 0x4f7f3f5175df8fa2, 0x94cbbc3bfb4c23e6, 0x7038bd66dab2b185,
0x3dc31fc42cbf3765, 0x44c55ec0146650c1, 0xae3b80e29657785e, 0x40735bb3c0e543ef,
0xde526f1fcc0da510, 0xc1770e33fb14f048, 0xd2d004270fad147c, 0xa0824404e7fbf593,
0x68808bea1adb89c0, 0x4930fc7f38a0b5e2, 0x717967fdb336cf34, 0xd33aba1357f47743,
0xa9aeacfa1a8ecd52, 0xbbe36ed730876f8a, 0x606214d70de85541, 0x81b25ffb755622d1,
0xb2e2782bddc6850c, 0x59943615e04c8024, 0xfdea0d06eb678e2c, 0x3b09d2656ea1417d,
0x829fc569ff490bc6, 0x0759f0b840a7eea2, 0xd3a4eda95d6ee0e6, 0x674ae465c476ab80,
0xe70232fc0514a30d, 0xc2d28ae692261222, 0xefda3965c14c1a13, 0xcdfcefe8cfab097a,
0x5b7b59047b551dd8, 0x90d2de59c7b6af06, 0x915859e7d8e98167, 0x5459fb0dcc16192c,
0x2d33c6037c93d5b3, 0x7afba33d7da8d473, 0x96eb623eee2792ae, 0xe36a5ff5c6c98259,
0x2d45baa19f3d2bd7, 0x32825e286e55e33b, 0xe6c72dfbc44a9e39, 0xbd8e3d49f21884ea,
0x673106cfcb28a738, 0xcdf54e3966b95922, 0x432d0a8cb7850483, 0x373bc56d47437503,
0x79d997526f61c6c5, 0xfcaca5f0267ef33b, 0x68cf3a29ecc6bd55, 0x0c09f6844ea84d27,
0x047a3a02c789423c, 0xebe08d874cfec9f8, 0x1893d663191a04dd, 0xb020e8155aa8b9e2,
0x322de5857ea1f70e, 0xdf3b2f16e5402105, 0x6901782b2075c69a, 0xfb1a15e4788b9a05,
0x2cd6b928ad50b701, 0xf66428d2342f8be6, 0xfe882ef978a35dee, 0x8bf01e43cef231a2,
0x67b411e45c3a5fe3, 0x704db88984d316a5, 0x59d2f96fd1bc8f13, 0xa090e2c08753cb73,
0x341bcce4b9616cd5, 0x2a91b52a6b3ccff5, 0x2882b7a521953d3b, 0x94ae6082a3243af3,
0x506ae93cba20447c, 0x67756677f2050593, 0x8a6d378deeeaa264, 0x61f9f368706bd9cc,
0x7ed01ad970ac077c, 0x2e413275c328f2ee, 0x5da8f546c26cfba6, 0x3430e059766beb14,
0x1cdd081adfa81842, 0x7837570e38fd15a5, 0x2842e6d88ea9ec7b, 0x3103c1e67413964b,
0x4538a885ce207cef, 0x5e57bd1ff4abb35d, 0xea442e0826c403e6, 0xa21ba01a429f705c,
0x87038fbc98c6b9d8, 0x77ea999a7a5ad45a, 0x88db71fa5db9088a, 0x955e574d658d2fa2,
0x70ef36e0a5bbd30b, 0xd63756d8cf58c477, 0xa34e96ae788d6417, 0x5034c33e0458da34,
0xb03431cc0333ea36, 0x688b2733990a707e, 0x230a6e039ab05d1d, 0xa2590f7479c2c53b,
0x6a5fb90268a63af7, 0x3f7e9fc6f767e604, 0x00244acd86a98409, 0x69fbf4f853d611b0,
0x5dc9c1265a332fda, 0x48e06aea43952044, 0xe2533a19deb5ff30, 0x8edf7903d8d91f16,
0xbf683ce4885c0f30, 0x24ab7739dbb4785b, 0xf84f0434844c3ae1, 0x7a57571faa009fe0,
0xf1b764eb1f69f518, 0x344ad2ce552f1502, 0xb4bbfa5fba056afb, 0x9a38063cc9316ccc,
0x257fb13d1ae0ea5c, 0xe051a8d9e9cbd21c, 0xae195969ad6a2d7d, 0xe9b2b3e8899dcf93,
0xb4c77bcbf642c6ba, 0xdd7ea5a6f7cd4788, 0xef2331fdcfecf414, 0x31f0f3d371d587cc,
0xbf08ed995a5f8ca7, 0x9e47d0e71e33f20c, 0x72045739700980fe, 0x797c804e72e9a9f1,
0xe1498b85b9dcb8f0, 0x75fcc08867ef656b, 0x10d111c3dfc1cf06, 0xcce54f66c5ad47a0,
0x91229d69d5f3dfa1, 0x6b6c3dd4dba8d247, 0x6beaaee41daa60be, 0x07c5a96947ea78a7,
0x4a8d261a79f55a2a, 0x2eebd53c565300b4, 0x9cea8d0feb6a9da1, 0x9c8b3096abe51517,
0x00beca9f7662f4d8, 0x8742016cae2f08df, 0xe088eb84b861b1a9, 0x945e04557e7ae8a3,
0x8bf0ac86f7bd93b6, 0x9796f3c67e2ba1e9, 0x6db54c7d73f031e6, 0xd7685a39b3837a8e,
0x7869d51b3fbe7b5b, 0x2136bb80b6f94adf, 0x77d593f27de53477, 0x02fc88982fa5fbc3,
0xebff26da31766a41, 0x0f37d08f485f8e16, 0x00b52ee450384e3f, 0x5f4ba1e7ebab9276,
0xb381d28a7ef50ce0, 0x56407e1607a2b23b, 0x8712564a0a43f46d, 0xee64d2c21b5be832,
0xec2d00d71b31027d, 0x036539893a621356, 0xbde22828f3b8bc0c, 0xb5c36b4bae925b1d,
0xeaefd1171dd1d878, 0x4ddac1434e620296, 0x51a519a7967e5382, 0xe19960915e8fefc4,
0x2ff2461496f27990, 0x3ed5f03481dc77f2, 0x43c2cea4ae3608aa, 0x3d34386662511820,
0xb87f3f44d34ab4c7, 0xd6701e8accaa4875, 0x320a0c464cea9710, 0x0f188865de9b089b,
0x8783d67afe6e3ae5, 0x4e67b56f366ebe44, 0x559154040727a13b, 0xdc1a9424f74883ea,
0x33625b50c5850bc1, 0xf9f8e555d70078bc, 0x81f377341948117e, 0x558cb4cd13e89012,
0xa742c995b31b73aa, 0xffaea227143262d7, 0x39882796fcaca466, 0x124132e25d47a7e8,
0x6d89a6dc37793cc8, 0xc03e275c9be81003, 0xd85c7fa33b00d3ec, 0xe0a18527be8e5ab6,
0xf10a8199d6f8ff1a, 0x41d12fc74341f158, 0x0262ed3153f47144, 0x962eb7ecb83db07a,
0x0c725c436d1e53e0, 0x86c4e6bd430d24ec, 0xc4bd7da5a7c1018d, 0xc014dcb56b8503ba,
0x37181d6be5b32733, 0xa5ed25b2fcb0ce84, 0x4061bc18800ef1b9, 0xb87a58d1cca06867,
0x5d3fc7848d5a1dca, 0x2f5f04f5d252d140, 0xad31417012bdb581, 0x62e6ef7d668c9986,
0xc3f4f04e9903645a, 0x0ef7712e898b4497, 0x2249978f9b720dc4, 0x653e38463667a772,
0x9d814ee832ca02b4, 0xe7ab7e3ae77e2790, 0x70e19f47e0742ba1, 0x7d9e48e011dc63eb,
0xf20512d42949ad87, 0x8c528d18dde1b37b, 0xd028105e3365cd70, 0x6236dd69990f0d2d,
0x5f5aecce0c5f86c7, 0x6325fefc48c07732, 0x636f53c055619a0b, 0x089598fe2f75c386,
0xd5b948d2216f6ec6, 0xb3491c8da2b582fa, 0x32c03a00a29d2b50, 0xe11b5e12e0e48f5c,
0x105ab17605f845d1, 0xd973949e20816450, 0x7600c92355891f7d, 0x1291d34b06af3081,
0x5ceda2bad1428906, 0xf05c3bfc4586d2e2, 0xfbc9101200a59f9a, 0x03fafb9c803de789,
0x315badf62532e34b, 0xa6eb81dc008c47ad, 0x471fab7e1135c1cf, 0x2f4ffa4fd9c8befb,
0xf6cca2948bca8f87, 0x15362b0c9a434204, 0xd03d6e651246fd66, 0xafa4afc5137ab2dc,
0x87f924c2fb6e89da, 0x6cdf25c197c99340, 0xa4c19ddc9b91cc52, 0x44a58fe87108b45c,
0xd15187db2a76f4d8, 0x5d8ee8ef4a14db09, 0x553b5ee2a6a015c4, 0x1a7142bd3ab5b58a,
0x121b1fee936eb7d0, 0x23cd938ce9dbae44, 0x0720d5e55e9b8ef1, 0x89b3846188c4cd7e,
0x6e628bf557b837ca, 0x1e16deef024eb4c6, 0xca10bd44c248a316, 0x00b1f4d50753e6c3,
0x0b2eb02441554571, 0x92149d9565729898, 0x14f7c7657d6b612d, 0x5190e77606e3de0a,
0x197ca8228b4999f9, 0xb17dc804e60227dd, 0x9b7b8c9f60a64b36, 0x1cfb5c2c88bcc69d,
0x8ea12eb23ac67f44, 0x08224df34542bd2b, 0x833cc9c84f1e9843, 0x3aad250d667b86b2,
0xea5ff0333d4865fd, 0x6587f4859efa1f93, 0x19f17fbfb26eaef0, 0x4320ad958f1fabda,
0x59fd62f570431db9, 0xde197ddc64817f9c, 0x468025723823b1ef, 0xcbdc892f1d0e9eb8,
0x7eead70a4a27744a, 0xd73d379084d9fef9, 0x65b15882be4cc6d0, 0x16d13b0207aacc90,
0x3dbfe14350a0231d, 0x5239beed4095a2e1, 0x049f0253c1bd79e3, 0x3a80bc3b75caa01a,
0x178f3ff3a7dfca1c, 0xd3e3093f3bc654dd, 0x3100ad41ee6b0b0e, 0xce5d66a719fc3587,
0x1efc393c5ae56b52, 0x67b1e82fa6b26ce2, 0xb1854b4bfe2d8324, 0xdd945864e23ddecb,
0x68256a4c071eb8be, 0x617b29118cbe5b09, 0x8bb685a12bf7ef6c, 0x32760191db9560f5,
0x42b8ee06813cc077, 0x1f75bf6a2a9c9ab9, 0xfb9d9261be593be7, 0x79e64fda6930c3c0,
0x347cb08238ed6347, 0x2aa9e2d7875dbaff, 0x85a02a6558ae9157, 0x0d4536f0f1dbfb94,
0x07d833605f1669fc, 0xba7af48877114366, 0xab8b9082959761e6, 0x062ede641a5d866a,
0xe55d2f0f4948bb63, 0x0657ba4f2c0c0010, 0x316278da0f141211, 0x94cdd78c38250035,
0xeb96eac52b51015b, 0xa22f073c91e0deb8, 0x36a6fb43726642de, 0x525f6de263c5c0c1,
0xf49478dfb90dcf56, 0x0a77d38c69f40f1f, 0xe93c4bd558d5de0a, 0x383d99eab1ed4b0e,
0xd3f9924fd86103b2, 0x7869482815b17630, 0xc6a42013a5cb1994, 0xb7c523ae630b6b65,
0xe0fb8aac618d2945, 0x7fb162a97656262a, 0x8fa3e3f4c6c496a5, 0x22180d485b5888e0,
0xbb22c7dc20126c19, 0xb4b73350b9b8e5cf, 0xd1c3d0961ac19619, 0x2bd353a2c361df04,
0xc98d228c96567059, 0x9ac20ee6dd81d01d, 0x9966532dc141caf0, 0x82066f9f62a1d849,
0xda7ed3a6b79b8f81, 0x6667e3ad7d1320dc, 0xbe19ecdac666ad42, 0x62ed84dc975e5c46,
0x9be07a8ec67f4210, 0x3309312e68ff91c7, 0xa2ba8a5f6e2bbc12, 0xe0fc982e88137f1a,
0x5fb4b7bc155c5c41, 0x7d6af5b796ac88e5, 0x0c679fa3ecd435f9, 0xc8e1b9619cafd98c,
0x5837e249a3a24f1d, 0xd7175b90f68109d6, 0x509a9b2c3cade503, 0x4ee6df4820f7dcdb,
0x2a08a22249048c76, 0x2e54bbfb2824768e, 0x3872cffea2650bdf, 0xe792a541005d3bd9,
0x9a53f7cd921238f8, 0x7bcdf18c579755a5, 0x20fe89d41475e231, 0x9a191dd449da2d62,
0xb1661f7def2cb41f, 0x8dbdfdfa7832c124, 0xc6405afe5c4dc377, 0x1e93fd0c7d481701,
0xbc8cc115e184e621, 0x174e90e57c0a2e53, 0x9009752d3a9d04ed, 0x2d639f2023fb6042,
0x139abf98f5b9e899, 0xe054eb324debbd84, 0x74c90f15215a9f01, 0x01f44504554fdf8c,
0xaea5a3f1c40a6062, 0xc8083d34153976fa, 0xb8f0ccdf9608eb2f, 0x19962765714e7c87,
0xa5ec37c77a6fead3, 0xbbee8540d09ff300, 0xe3847dfab632e5ae, 0x33d8e83cf33df74b,
0x21ef53d49a273bf1, 0xb27ac146cfe0f0af, 0xf6a647fdac0c8241, 0xb9795729dea1b6b0,
0xe23db47b329b6f77, 0xdda420793fe1217c, 0x17fc4f5e926b27c0, 0x749871a3b091d321,
0x45fb11e75faf3924, 0x97e0962c459f0f7d, 0x1b9755d69aa4cb70, 0xff0f7b03d0508d70,
0xe3e91dfe6fd7f5b2, 0x635fdf8342771c65, 0x89c9576ff3ceaac6, 0x6a51622275618a41,
0x4b0cff084fa3175b, 0xe7d03518f230d90c, 0xbdb3cd15c14a5e8f, 0x67da9227ec25517a,
0x838d4adbaf9f9c43, 0x610ccde46af86423, 0xadc6fd1176fbc113, 0xe6c918f668e88bd8,
0x752765d5469c1186, 0x74bcd993c4eda4d0, 0x52701883c978a4e9, 0xde489d1e30e3147a,
0x9a27eaed3b03bd88, 0x5f4613ebbe59b7ef, 0xafb7cfa82305e931, 0x9e540c9a5b93575f,
0x298a5244af3df777, 0xc651d68ed8484302, 0xa9e04a6de113c901, 0x09b8cf9a5ebcbbf8,
0x7b89a1fb0648569d, 0x53f34f416945651b, 0x49f1ffc8cf96ade5, 0xa13b5821b5f06601,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0xe18bd546b5824517, 0x673891d791caa486, 0xba220b99df9f9a14, 0x95afbd1155c1da54,
0x8e4450eb334acdcb, 0xc3c7d1898a53f20d, 0x2eee750f4053017c, 0xe8a6d82c517388c2,
0x152879e935811666, 0xaecd900d995f5ac8, 0x55534f24546a77e4, 0x867897622c279791,
0xbd0e28c622e2d858, 0x1fe1c1cab00e501d, 0x5ebd909551cd9476, 0x2cd775ebbc39a143,
0x1cae9a5c417c6efd, 0xfb0594f9f58532a0, 0x5d00b08114c05c30, 0x7343068b3fef5c84,
0x8c814560bfb86c41, 0xdfa792b712d80bc4, 0x09f638d876ba89b5, 0xb53aece24720d42f,
0x3caf2a97832d7c67, 0x23187c43d8012d58, 0x96306de157a7b651, 0x057df205404fe736,
0x40b2c634710fe5f7, 0x30eef6c16d867d51, 0xcedb88fd15e05c87, 0x02170597f1895e0b,
0x2f345b4530cd3708, 0x579d25a75ba7ad1b, 0x626204e0c0db527b, 0xd5522231d41a4776,
0xf658d663179e4199, 0x4c45e428ad95e489, 0x8518878c419fa87b, 0x2c95824c089acafa,
0x15254c0a6c186b71, 0x472d1f63eb8c3a03, 0x56e1743be626c3e7, 0x2f8bc30cf926a3e4,
0x4a18365a3000dc38, 0x8bcdc5cef13fe024, 0x4051913badc2c2cb, 0xd4f54c934af1047f,
0xb9a980e28b399623, 0x62c9f9a8be129663, 0x59b9749c4d0b7d38, 0xac4ff401e8727c05,
0x5672a959c3c6031b, 0x73dc92cd775998b1, 0xceb0eea243f69df0, 0x86e3e5abce990f72,
0x9651896dfc4d7f55, 0x55ad01318c5c2f52, 0x2bf783f58710f8e9, 0xc1fa2978d883e72b,
0xd8de09f6d169ee57, 0x6991121f0e335caf, 0x439c72af74d8e3d8, 0xe58d08ee72011d4a,
0x780a09347573843f, 0x041cf5b6f136675f, 0xe9fc3b8af8b89645, 0xed676a9643c03293,
0x7272ab22be50f4cf, 0x2b821fb6268a0970, 0xdef49fe985160b9f, 0x13ba3cfdfdec3097,
0x2f6524b7edb163d1, 0x6098f7058032adf5, 0x359f4d13d9d45a65, 0x23c7e15aadabf5d0,
0x50af4a9b249b4b4b, 0x61040ac6c40117d8, 0xa89490c4ead00279, 0xb0e4fb0c77688906,
0x15e7312427fb1326, 0x5566b0626f566469, 0x77028b52f3ad7ef1, 0x747e8d2d4bfc05b5,
0x7b4654097f7f9a1b, 0x49e4df0c78201451, 0xaea37782a8271ef0, 0x8434941ae272b963,
0xdbde2e5613783827, 0xcb7fe2bbf9d283c0, 0x46f862e0316512cc, 0x3f79a1c5d342b99d,
0xb77d718434d42e4a, 0x44c7061af94cdc60, 0x039ece5b115053dd, 0xb34f073238b1f73a,
0x82f60e8c9fc79727, 0x506db4c02864f2dd, 0x646f9b4123c2171c, 0x03b438befe3d8b73,
0xfa8a9285175cddce, 0xa75d4a13bbc752cd, 0x556a2f039972d1f2, 0x5066c9914887ce82,
0xa02443c6f48eb833, 0x6733c4bdd1805a32, 0x4637b560fda5a526, 0xff900f95171abdd9,
0xe3109d1082d34cde, 0xfaa3c78aaeb009fd, 0x92a88e94f87edd67, 0x963cdeb022d3a10c,
0x12ca8329d6f3dd82, 0x5573e20305879c23, 0x12da11bc02bb47cc, 0xcc3a812307bb06e1,
0x64c4bfb42d65d975, 0x0cfd9a9c31167bf2, 0x23f6c5cb65f0e106, 0xc90d6a73299ad66a,
0xf9207cf22553610b, 0xbd67226bf8c6d865, 0x0780901fb50e9caf, 0xb9c274f85e0ee46a,
0x3900f865cf894428, 0x088cf6170c0e2541, 0xcd7c2ecabd675de5, 0xd25de699c387e64d,
0xe42f2edfa1976946, 0x86231740f6922a38, 0x3879338a2dfe6ee9, 0x693b8e9f726fbf54,
0xc0652f06ab132eb9, 0x1f04836877608ae0, 0x79ef07e45327e776, 0x662856891a9c02b6,
0xafe7f1917a2b349d, 0x3b47767a3a59cd0d, 0xce1c84d0d1dff396, 0x0b947fde7bbcf13b,
0x6c9910e54d82bc4d, 0x6b03ceb94b14b6d9, 0x8b8057e881a0b050, 0x4c70742606a8b4bc,
0xf753a4676eed5bba, 0xbbb21622ce427c01, 0x89bc173cf51175b0, 0xcfb0b8f75d6e9038,
0x0ed88ac4e793eb6a, 0xf8e6f1d305a59386, 0x265ef750572c0eda, 0xb400c4fd06981276,
0xd04c2825c6ebca00, 0x5a4e8bf8e4932beb, 0x37289429c7aa1c3e, 0x817f59c7a01c7d2f,
0xb8224f4653894128, 0xabc0c98c158cc5d5, 0x745a4d62df5ec60e, 0x3ec6cae0ee515eca,
0x2b07afe1caeaa92f, 0xc356f794cde9a011, 0x2980bb7b494d2227, 0x7932073f512cca32,
0x2fb594e0425ab0e5, 0x6cc7510ae3fd0bbd, 0xbf3dc80c48c189fb, 0xeea71f5a33d0cfd7,
0xa87e46e6b00a6163, 0x1155b263b6615e5b, 0xbd01811d777cb68c, 0x664521c46d491d6b,
0x4cd3dd031a927cad, 0xc0d4b0c30b476fce, 0x4444153632d893e6, 0xa9e72bf573afe5a3,
0xaf55c371112ecbae, 0xb7256d2863729d55, 0x99934eea7c7aba6a, 0x3949053f99ff16e4,
0x6cbad34f27bb0c25, 0xc896a8efd813e51f, 0x91b0a2a5ed9d7bbf, 0x92817b604faf5594,
0x6a87de3f9172672d, 0xf8bc1d2b2e3ec83b, 0x7dc74321261e4794, 0xa434fa8a7d31d0bb,
0x69400ed4c12908cd, 0xfef3b8a2f38145f2, 0x82f74053941ceb7d, 0xbb5d052b0a7d5c9a,
0x15d290651e3a746e, 0x001bcbbca6acb6c0, 0x83f1637fbcd0e664, 0x8b1ea6e53fab0653,
0xb72f92382028b839, 0xfcc53918788388bb, 0x635e04bcc0aaa3ec, 0x1cf4fd75c4b6d2a6,
0x88260134d443ede4, 0x26ef5d26818a60da, 0x7740340f76528012, 0x1594a4cec116fbc7,
0x49461554665be9a1, 0x82e9e49750569696, 0x92583728a3f943b6, 0xfd4e3526b222a136,
0x9fd1545f7f24a025, 0xed5a38641f96925d, 0x995b089a731cbf4c, 0x5435169636b30daf,
0xf57f17ade62875e2, 0x57e7ac71628c133f, 0x6029b713c752f48d, 0xd50724f25a013f6d,
0x1929f89308635742, 0xb1252aaebabce0c6, 0xa18fcac2824a7ce8, 0xe1a76f96d7f36558,
0xd9b90d707d7a694a, 0x251c8e4a9b0cae32, 0x1f95e6096e7eac95, 0xda4693531b91d6ad,
0x61701f9e51b4b34e, 0x32e1f656ac3ef7f6, 0xf6216f20382a35a0, 0x6a46692948a1c263,
0x915edcec16a079d2, 0xe46ed15af6128d0c, 0x493e7137e8db44f4, 0x32cbbb71028811c2,
0xeaf1373b4526f49d, 0x3d87e8c73108ca61, 0xd585e1960e074797, 0x3e94551d7fa5da45,
0x69d95896130464f8, 0xd331598da49d4785, 0x05d88753abee76b0, 0xf2f3e8cf85a165ca,
0xb3562cbbfffeaa7e, 0x13682c7215a84b17, 0xc9ee56ef2662e4d0, 0x636f129ad53e4478,
0x9a49b95f948693ec, 0x53a56df039d29768, 0x276c078b4ba47b0a, 0xf53f09881fbf97ee,
0x1c28b986b3f903d9, 0xdc014aafa8e4cd80, 0xb8517ff49f2dee13, 0xc9e135ad4429d32c,
0x60e643a7330d0875, 0xb10b6fe468c29898, 0xd5c79b7bf3073dfe, 0xa2a22806719b0e1f,
0xb99393500ce302ff, 0xbb237d49a5deeb59, 0x06c1dc92250e99d9, 0x80787053329b43f3,
0x4b3ebe2b5f1f0061, 0x6f23571e051efc9d, 0x96afdeba57cbb6c2, 0x77b380d5e2101881,
0x953b255b576c3ac4, 0x5389f935280f8070, 0xc09b873c7c3d36b9, 0x3d8a8f633ff746a5,
0x03ceed72145fc246, 0x86394b6581fa0c21, 0xccb1a1bedabec619, 0xf04a08e84b8d2993,
0x1b13b27b557461ab, 0x6e645a1589bb810a, 0x1c2ed089b583881a, 0x26e45622c88c1e0f,
0xb3daf09f222c1c83, 0xdbd238c6b2574939, 0x2c07cc6c31c77c3e, 0xfbdb95546b98af58,
0x400fb496fbbbe90b, 0xacf4f5394ae9ad90, 0xb9ce6ed4d338450b, 0x341ee8e9239e15c0,
0x9c8be6b09c31510c, 0x974d589e2a643e44, 0xa4b951a1df326336, 0xb38706ad8bb69f1a,
0x333ee89499fb3edb, 0x54977416cd9b9f02, 0xda0a3331423c0797, 0x612e1cec46175cb4,
0xf07d665723f926f2, 0x067574f584c7498f, 0xf4f80e599194d26f, 0xc8803b771f0b96c8,
0x0ba754ac1fe3cf8a, 0xb4fc7ac7f2dab617, 0x38f86fcedee681df, 0xaefef1e8f04152d6,
0x251db0d004e0e2d1, 0xc19f5f9e1cddfe4a, 0xa204c7ee1db9a0e7, 0xb093b6b4ee18f7fb,
0x3ff1dbc877dd8b82, 0x739b54a86bead240, 0x1c16a9561318942a, 0x99f914cf9865774b,
0x623a9bd510069be8, 0xd37c3272da1cfa25, 0x22fd93d02b541f5a, 0x27f7c60a36166272,
0xeaa856e77183e0a6, 0xfc40e1094a67ec4b, 0xcd393283035e44b6, 0x484cb965a67f7bb8,
0x1bc3e7c2042ec3c9, 0x3fbd32549515a339, 0xd8a3872b686f13c0, 0x960007f3b5ff4467,
0x40d2743c4f6c9140, 0x3d9132aa1b3e24fd, 0xa8abf7700ad7b23b, 0x569be56992ee0d31,
0x98667697ab8a3b62, 0xbc0fe604366f63bc, 0x4a198d629d973a8a, 0xf1a92b28f72d2958,
0x2fffcd6a1ad67448, 0x1218407966041197, 0x89d7d5af7ed22b8b, 0x7e706b3ef8508cd8,
0x055896d0f0deff9e, 0x3126cdb92918c859, 0x1e38fcb1476a5d9c, 0xd1e3a0c92d4a6861,
0xc816e68d558e87c2, 0x5e0ff7bdc264a1e6, 0x27d4c47f41a287e4, 0xf8851b68a93af89e,
0xe28aa64a80995088, 0x01c4689ace7bf460, 0xc6376057e894d337, 0x44a6b1ef48e4866f,
0xab4a0ab3e8457138, 0x5378e9c758e17968, 0x0da8b846ad8aec47, 0x70c394ced5b48b9d,
0xf008d7aec8ee2621, 0x7caa8472b19fc8c4, 0x5a374a8881cf3f10, 0x59cf7fe66077854a,
0x3cc5d1fbd14e6186, 0xf9cbf1ae84470aae, 0xdc36654dbbf843c1, 0xb636e59cbb1caf9a,
0x2e8f0e8f57134f78, 0xeebb48bb07d8aaf7, 0xd02c82d35fcd8bce, 0xf7209fc26f272249,
0x9ef2961799f45193, 0x0cac99673d019541, 0x66ec5b58d4d13dd4, 0xdc4d253bc0c86357,
0x902aa34bf03da786, 0x8d4a5bdb79e91154, 0x22289fcd13fb4ed4, 0xb54b84be62e31ed6,
0x623cf3764be7e051, 0x2ddfc8887f1c2fe3, 0xcad35095c778dc23, 0x1ef5a2aec3ebf81a,
0x57c8d17e8088ad63, 0x9ce3f3e19d0c65f6, 0x9eb87f4005374afb, 0x62aee4900ae7d053,
0x9fdd2ec141e9ed99, 0xd78d632908935cb5, 0xf263af92936ec69e, 0xfa9c4fe8e1af11d7,
0xb65b8bc66351e430, 0x119462cd62df12dd, 0x4d7a800167f9afbc, 0xad7067efac892403,
0x0dffc39a2a2090c3, 0x37ecc2813254c280, 0x1f131cde3a6859e1, 0xb743bb732be8e124,
0x26a86fa4ff72cf20, 0x41b584bfb9c2b7e4, 0xc7cde8d15e69b89b, 0xd5085ed6e44f6326,
0x5e287fe09bed2b2a, 0x420a2a8eda43c034, 0xc960d172f92b0682, 0xc544bd340165599b,
0x436b6e509e76a3c7, 0xc0b34f2a44427e26, 0x9a6b7018de666968, 0x97a3c534cccc75f9,
0xd0d79a847d7fa21a, 0x14288bc14906c587, 0xa7b92684133f244d, 0xbdb69a2750b742dd,
0x99dde9344a107112, 0xb99f071cf3a17929, 0x20c85b899b4bd960, 0x2edd00ee6dd84b8c,
0xcb86453b16054562, 0x6f7ee5c79ea6a845, 0x747fa298cad38981, 0x11cca68b0133a5fb,
0xe4d8a00db3333c05, 0xab431c6116f8dca8, 0xed1505ea4073dcef, 0x335409f0a2277dae,
0x8e5e47b9d4bda264, 0x9b9097ca230dafec, 0x72575d8fa4af2cff, 0x4622878980eb678c,
0xa2942327e23b716b, 0x5bf2a1c9b4ff0e2b, 0x904923e99736fcf3, 0xeafe6d8ae6e88e06,
0xed248c09fc41dd3d, 0x6590a57965c4d144, 0x8bc04b979c4bee3e, 0xf59e2e4dee7ac97b,
0xe6779aa7c9bbd853, 0xf933266ebbaca6b9, 0x66f41467bcb9ebaa, 0xe3272f54be5de02b,
0xdcc55dab960b5a64, 0x2e3cf65b0eb17eaf, 0xbfa27c2117ff904c, 0xa36270a7545f0d94,
0x4cadf2ec850543e1, 0x455ebc849ae79ed4, 0x0da4f967d302677f, 0x96a99b3ec9171212,
0x74327b504eb18437, 0xe750a910f35d149f, 0x9d3f22c390484945, 0xe3c8fb6e36b5431b,
0x6eb1f8215f871f3a, 0xcbc7938922f03c2e, 0x6fa5d58905272470, 0xe566cde893782621,
0x295a17cea223da44, 0x2c8a9f00fb2dfd3e, 0x61e490bd4a311a60, 0x8a9428ed33ea0882,
0xfef8227ae51d184c, 0xb2ced339d60c5450, 0x9d23ec6a32f6d902, 0x13e82060fe0b6652,
0x455d6df5fa78ef6c, 0xe7cb917a55dbdf45, 0x6507ef8fdf02fe7b, 0x6e2a02adf8c946e9,
0x805f31a19e4dc49b, 0x04b6b85ea8c558c5, 0xe31e6b1a9421d638, 0xb1f965f23a5f7d0b,
0xbe7546cb917661c7, 0x5c66b5af967619b5, 0x0fca6dad373e003d, 0x59f93a519831a61d,
0x2484d8891b5c707c, 0x6665cc0ebf3da632, 0x3510c9b898f470fb, 0x23b1c8225f2d6094,
0x1923f05f8ecd0d1b, 0xe81908f48bb274d1, 0x894166690868c8e1, 0x3fa4c72768d63279,
0xdd8fd5067e000772, 0x1586cd7d09f06edf, 0xe36c52b22e89d16c, 0x7199a2bb8a9f6705,
0xdfe0c6879c9f2ba1, 0x998bc8cab9ca49e7, 0x694ddb746ef23aba, 0x18382b9d14579d6d,
0xd80cc85665ae048f, 0xa1fdfbfa8f9f255f, 0x07cb129213f2b614, 0xbc554a6a7c439cd8,
0x07a8e959f20461fa, 0x945565aa30b11d13, 0x46b0c3ca62d7ff7b, 0x291243400630f896,
0xcf83cbc56bf0b214, 0x3a760aad877b9b06, 0xdb27be97a848b363, 0x9585fe12c144a86e,
0x770057e646101d2b, 0xe9a73afcb98545c7, 0xa6017bc9b2273f5f, 0xaa1a5eb8fc80fe9d,
0xe93a7e929bf6f40e, 0x1642317027d69a82, 0xebd8dee408fc28fc, 0x01b0e3a921261898,
0x12e08a5d06918211, 0xa02d6febd9f2cf00, 0x3f27b7156337c216, 0x29367efc31ac0de1,
0x52fef397ac540eef, 0x008dd5184b8a16ce, 0x705d57fa7a7faff2, 0xe0848700bdba073b,
0x8440e45537f27536, 0x1dcf9924d2a26e94, 0x5e173bb7dfbd9c12, 0xeb2b645d24b3809a,
0x0e806cb5a1296865, 0x5a8c4085fc136102, 0xa20e28e2fa3354cb, 0xe111d064f962993e,
0x0ff6afda7f70fcef, 0x2b4bff9cd2c74aa4, 0x2c005309f8654e95, 0xaddc7e914ccf1ae8,
0x36d61d9964e28344, 0xbd168ec382ef0333, 0xbbe75323161928e2, 0xc17b274b41047d43,
0x74d1629263047cda, 0x1bf53e662303b27a, 0xe2dbbce865c999f1, 0x6f3451f33815bcf5,
0xd09babe6e5a1fdd0, 0xe0cbc2b7fa93933e, 0x98bd49718c8a470c, 0xb4516ae0675752de,
0x491bf517c04dde9e, 0x2c8860a8d0eab6d9, 0x1a1a54b033bbda67, 0x559d850100066bdd,
0xad3a5f817321142c, 0xd257342c29489c8d, 0x27fde435f7dd094b, 0xe16aa4f9dcecb90b,
0xb64990b25214136d, 0xb7cfe317c913781a, 0xa71720389e8ec993, 0xe37232ad1fa3d9f1,
0x9515c778ec4e38d7, 0x3ae6d32891b2d1bc, 0xaefffe61927773d2, 0xf3f00c8a5f3bc213,
0x4d12e04f6cb148f8, 0x60f267ed8015194b, 0x6cb763015af477d8, 0xa503949c1e0aaa00,
0x489f491716d0d1c5, 0x7a014a7f95969b07, 0x712d9e3da6974e49, 0x3d83f50a787b0c26,
0x9c51fe2431804738, 0x095a35c59b965f42, 0x34186c65970c459a, 0x7b3c99092d4f65d9,
0xd804bf942a3498ef, 0x411cdfddf367f2ab, 0x29e234b76f98924c, 0x9dda740b8d91965a,
0x7f245bc00cd6c527, 0x5cc1cd33087e714b, 0x1e3f7ca0287674f1, 0x1c567ae30b751b44,
0x74a28c468eee7344, 0x4a8ae0a87aaa9a4c, 0x4c477d6fbf696803, 0x7a0d08c402ebad58,
0xa8d71d8dad8f01b5, 0x03e960ce6bbe3f9c, 0xcc15bfb2a9772b12, 0x23c7c4c6bd1f788b,
0x94473747d9b7d678, 0x1afbdc98fcb131f8, 0xf10014eed69a23bc, 0xeb6072976fa20b19,
0x21fe4a38d8184865, 0x0161cd1a12e703f2, 0xdfb93652f9798a55, 0x7cd03edaa5ae311d,
0x7a9a56cff176ea47, 0x0afce8838f171538, 0xf223ee6b05f510ff, 0x46315f54e128a927,
0x0051b92fe82c365b, 0x2cb3b32ff4b3f07e, 0xc763672637c94ba8, 0x3355a30193fd1509,
0xcc21a7e88f153cec, 0xdfc5541bd6863410, 0x38095657116bf742, 0x1cabfe5a923387f5,
0x384280ac9824aca4, 0xe43c92eb8c11ac95, 0x0dac6b3d49476b36, 0x6890eb17aab8f8eb,
0x22a23eccceab5956, 0x5490902d56763336, 0xf32198fd1e30be76, 0x1f38713b67d35c93,
0xd70e8457b68f60ed, 0x91679e7a021f0bff, 0x556790f0d3ffd96f, 0x10e638c14f1d169f,
0xededaee8670cb507, 0x57ecbddeceda2185, 0x85623e5ff08e4184, 0x25a908088ef77237,
0x42ab939cc2f002e0, 0xc40e512f2ef69d36, 0xbcfdd37a106b953b, 0xb85a4d1a712b4ac3,
0x41cd568e908b779f, 0x2f341eed1dc39aef, 0xadbb972925fa61de, 0xa5fae87c93290bd7,
0x38813dad5dfd4df3, 0x75e913d56de5798c, 0x97ac58ed9ba51df8, 0x889f0b469678168d,
0x1bdc52b60f55b897, 0x0e2fa3fb7fa34143, 0xb6af6ee58471e75c, 0x824932b44482907a,
0x9c23b1810e2d4748, 0xa2ef8f9b52e2a08e, 0x45bbb5a1c9d72acd, 0xd83a1a96afbde5e7,
0xbef667cc45ecdf2f, 0xe6458713f0a6a90d, 0x087160acab53bb75, 0xa6e1eb1768d9e9ce,
0x571ed6e38ac7e3cf, 0xb84c3947f102b45b, 0xbeb00fea95c61d7f, 0x5bc5608cc751fa50,
0x4329ed6453aa9f5b, 0x5ff5d5f05fc5f1e9, 0xabb817f7b532687d, 0x638507ca97ca8c5e,
0xc33059193b486299, 0xa89a09152ccac8ac, 0x6915745fce4252bf, 0x22b291dca76ca9d3,
0xf60a2d08b4410f39, 0x213a2f569c2de403, 0x299b6f6d394813c6, 0x545e9f0818790a6c,
0x25301e7e3f6bfe9b, 0x740cc41235219c3d, 0xaf1c7c372530f074, 0xbbb6bf6c81316e62,
0xa3880fa9580915c8, 0xa8e4482a33204d79, 0x0b75f81f149267b0, 0xad1b911dd1d43be8,
0x2081d5f7f1a66091, 0x118be91329ac7633, 0xd65a4f9959367613, 0xac6c934d9d0debab,
0xd693bf47c693e5d6, 0x2d83768b82c20e58, 0x316ae1060e702938, 0xe020866bcf5b5dda,
0xc68ccdf29d438cc6, 0xc2b863339618065e, 0x04af45fe7cfffa9c, 0x15390cb5cae665d9,
0x9f57c2b120362e1a, 0x8eb9cd2f20c5ac19, 0xc995c3a94d3c3038, 0x6afbb0603ca99800,
0x1c9a7883e402bf21, 0x7e0be01a537bd296, 0x33fce9189c973d9c, 0x5ead0cf07d88dcad,
0x87a8e4d37d2ba1c2, 0xdb90c75f183520ea, 0x1a684a8973e11b97, 0xd92db7fc4c92d5f8,
0xe7900620ba280f13, 0x7652b80a1b21e2be, 0x87f6df43491cd49e, 0xd78da3354387b60c,
0x05f3ea9003f4b985, 0x5c493c023ff25483, 0x48bfc5e4266eec81, 0x1fdf442a23a785dd,
0xe44fd5bba3c59c0f, 0xb6e60900083a314d, 0x3441ece04b932eb4, 0x6837d3ba86ba3777,
0x80f0bb5f2b458247, 0x72d36fce0c1f6739, 0x17c64deb89908b3e, 0xa28cc3f228c913a8,
0xc71fae72ec3d6c91, 0xf97126dbe5a6bd96, 0xfd48aebfe8010118, 0x3a094ee78c6cc819,
0x1af5a9edd489a177, 0x56a1777a58911009, 0xb7f9403cb9b14866, 0x8c1d82fbe696de4d,
0x352848c9bb6154da, 0xab9c227a680fcd9e, 0x8686ad05b6745b9e, 0x93a23421cac06964,
0x62f3ecbc2c381c88, 0x42ed37fa24b620ca, 0x550008f1c292b43c, 0xbb8e71996c144d40,
0x0b6f380ddab18992, 0x8ef856b32ad94401, 0x0cd6894577b2899d, 0x9204292a0fb039c0,
0x88a2386ede01e3b9, 0x83132b498f32a515, 0xb91a4a795a23e1f6, 0x3a22f312c945be7c,
0x3cdfbfbbf4beba53, 0xd2984702c3fda4a1, 0x7c140ae728d9ebf2, 0x56bf8304ac7d5ed6,
0x407fcff404cfebb2, 0x7e2af89e1bbcb43c, 0x21a777faa2718aa1, 0x4526017bc9ffffec,
0xcfd65da89d237ba2, 0x527af1b4af567dce, 0xcc9dc24ae0cdbb07, 0xcea8983ce69e8e0a,
0x3a211929b4a8acc7, 0xd2bffb9423d7304d, 0x632679e00b749acb, 0x5f6cedfd6e53ec92,
0x22757f202fa88dac, 0xe555dec632efee53, 0x870b6de91bc79998, 0xe63cebb321de3909,
0xff61093a070097e8, 0x4010c660ca3e62d1, 0xc315ee19bfb557b7, 0xd9f2725efc6b7ce9,
0xd964bb99679b3b7b, 0x83fed68c2f4117ae, 0x6875f474437fbea4, 0x295d5e0c22e6f040,
0xa01a24baba478acb, 0x68bc7bf99a58f889, 0x648f83a84777dc5b, 0x4d55f9ddd4b69d0e,
0xf9f9e9fe20c4c7c6, 0xd045b7395c45ff21, 0x02c4f4dfcecd74d8, 0x840cdae79a34a601,
0xdf53cc97520b07e6, 0x3b7655117b62bd6f, 0x5907bb57f1623e9f, 0x948d2cbfe625d752,
0x48c85e353071320d, 0xfcf3b5cff12839e5, 0x9e0179af837dced6, 0x524f8d75fa202978,
0x61573d42f3393ced, 0xf0d8dff1d35bb0a4, 0xa121a2be71362cb0, 0x214f813dde7b46fc,
0x8007b3bceed2cd83, 0x667b707656dbcc04, 0x25f03a56ca0e1b5f, 0x29be5ce7ecc72501,
0x76fb3cf7867e6329, 0x3aa0ec5df00012bd, 0x4078e11617ec88ae, 0x32ab0aa0a19047d1,
0x091639e2a3b47847, 0xd6ad7a6e4d066f4e, 0x6af83e46c9a1c27f, 0x987600dfc450923c,
0xadbd5bb11e8b0e08, 0x56c2e0984311ca95, 0x06c7ba302f16a29b, 0xcb02674e2ecbfe02,
0x95f070dbe78540d4, 0x81e8b77c786b00aa, 0x893fc5e0e4301407, 0xb9b2fd69f7d01e18,
0xf7d6b9909d9535be, 0x5bbf759c3064ab00, 0xa7acc9ebf69b8e9b, 0xd91e3e93d8eb856d,
0x3aa7aa06ce151cf0, 0x3518b46d24b0ccf2, 0xad5c39799b72e52f, 0x1ffcae13653ea7d3,
0x0b5e797f12be6610, 0x49511362e672baf3, 0x84b097e71ba1f9d0, 0x774c7f38887ad2d3,
0xebf83855a3688edc, 0x8d4796169bf9047b, 0xc68f0de7d9fad18b, 0x4cd24186e86f46b6,
0x085f8ab97b5a4851, 0xc69006562cdec21f, 0x8c6b7e791cf6a1fe, 0xa39cfd6078564780,
0xcfd4a44824deb7a7, 0xfe752f70933d6b2c, 0x7b79a72b5471cb3c, 0x7287c8951cb8bef8,
0x72646244c30041ec, 0x717a2744188b495c, 0xe7aac4606b5ab9b6, 0x2f554e07de97f229,
0x1fb4ab13a7ea6134, 0xf57e69197f83b982, 0x6451f0db1328c679, 0xd6e3a770126f8d71,
0x021bc61de1d1b0ff, 0x30d9847e5ff647db, 0xba94982a71364306, 0x2f996c1d9cf4be43,
0xd648d542f82c6f47, 0xe669d2973695fa9e, 0x0ec438e67f26acbf, 0x1f611823201e1e29,
0xac49069f53a3deee, 0x9f9a5ed174e3f382, 0x73dabec68efd651c, 0x148f6924b5647cdb,
0x94fee701d3aa9227, 0x9bfc0a6f8d893a8d, 0xa6ed74a096c4021f, 0x1d262691c1b78989,
0xbea9e44bc57b78c6, 0x018c087da9252adf, 0x951a07e693621520, 0x200b6aff42b49da6,
0x38a4acf6c2f54309, 0x291f264a833b5a5a, 0x28e0b13f8b03f290, 0x51c179f66ef9a918,
0x4d524503be4c7559, 0xaec857b8eb53b4fe, 0x620a9f76a0c78fdc, 0xf477f80165acc127,
0xbbca30312d221669, 0xca46490d25a284c9, 0xa9665971300b2bb2, 0x9b7d9ae72b040752,
0x1ead30430518597e, 0xeb9367e65fc69fc8, 0x32a6df400bfad080, 0xe2a8541d1db445c2,
0xf6d4783950910d8c, 0x7ae5b848d97a9d3f, 0x41a15f8dd1d1206b, 0xe973b7c141fe98e8,
0xfb115b9ec872a12a, 0xe7601bc09684ef1b, 0x24435ef8df74d661, 0xe99441197722d6ff,
0xb4338c5734a2fff2, 0xe2f898a5b58fb483, 0x62198f5031b08137, 0xcb2169c29461edeb,
0x3dcab0d2dfcb5ac5, 0xded9cba5ff085f28, 0x0aba1da5b01750b9, 0x9fc8c17ea304415f,
0xa89c37ea335cf789, 0xf6491bc32753eeb6, 0x7b933d8d40a745a8, 0x3d174e4196057c0b,
0xff24b8c09e1297dd, 0x6928f8b07aa2502d, 0x8ac43a4483311e96, 0xb8b5652d6c412630,
0xed5c6a3180f32cc8, 0xa146e484e53cc8c0, 0x9a7ee9760fedd270, 0x20d4f06c413a6ba3,
0x28910a836f46fb81, 0xca35e6b848bd0730, 0xdf547045bc65b05a, 0x1ed7f7a04ca4d6a9,
0x898d2574b369fe54, 0x12afa3eeca130c38, 0xda985b29e3397857, 0x11bf9040eada0fbd,
0xa19527e47737e89c, 0x71eaf3ccc2cfc809, 0x50a920d8bc83a60a, 0xebceee8275494bd4,
0x293e3c48b5f49ae5, 0x698a7705f40348aa, 0xc72cccb043c181d1, 0xb490a5eb0b921b2e,
0xd767eda079a1700a, 0xd6bf09abaee22197, 0x83e8130da46fcc2b, 0x090d44dd6b923f70,
0x5394d6c1aa81bf65, 0xdb00797b2f86986f, 0x31ee4452a73b8bdf, 0x580c0f17cb00e446,
0x74a4883bf6846008, 0xf8c4bd341356376f, 0x49d7978372a3b23f, 0x72f8ed728e85b27b,
0xdf2c6d077ab1aa7f, 0x69af0581d8cdcb9f, 0x713565f5f5394f51, 0x8b4b3e06520b91fb,
0x05dae26ed41e675a, 0xf2e754964495de49, 0xfd906a7971c00ade, 0xb7c364511ce398d3,
0xfd701ecf7e811b45, 0xbbf328ed6f12f8b3, 0x49a09c7d47ead9e4, 0x7e6c7aeac51ad46e,
0x380ed291e099d818, 0x21d757c28a7afb50, 0xb92a67872779bbf2, 0x22910c5d05323451,
0x3ae9c6adef04813d, 0x2f3c74a512583030, 0x0dd086c10c4513ed, 0x9da9b5b252e60916,
0xf5a7673faabf217a, 0xa4d6ba743e0e8261, 0x7a5dca6ff3ae718b, 0xb48d02aa60e9f0d1,
0xa6dd41c9d1cddef6, 0xbcda594db2e6a62e, 0x0956c95e1e0e91d0, 0x21841a8e6edfb9c2,
0x0cb241b90d042309, 0x28b1b1f9af25a92c, 0x89c180ac50076ad3, 0x5e33dabd392a9697,
0x0efdbcb4ed592bf1, 0xde15cb0fea225f4b, 0xf223709b20ebc363, 0x79e1c79f4bf1b37c,
0x26a157583236dfd9, 0x79960a7ad90bfc31, 0x1d2175c347b55bf4, 0x78b92d8c808ca11c,
0x3337192a6ae5ac43, 0x23b74f86894916c4, 0x164a4d82a76fd184, 0x45eab54b9bfa7d8c,
0x864950e763559c9e, 0xd9ff52717eec5891, 0xa0933317fc8c4cae, 0x1495620b622c52da,
0xae34207a978f85c5, 0xd0178970a2b7488e, 0x08d413df3f936223, 0x21e5422e4e099217,
0x1ce6c0b37b7cd9fd, 0xbf8b8839736155e0, 0x28ff971ca2c5a063, 0xf50875bd4ac3ca99,
0x8ef854d982edcb16, 0x1e9bda02e2d85d96, 0xeca1d8cb73d60af0, 0x25c1c5c4ea83fbc7,
0x0190d4b3d57ff092, 0xe554d97151e2fa52, 0x70b9b73537e1855d, 0xb1f7bccaf3506abe,
0x01163113d10152de, 0x5f6b0f96721e2854, 0xccb5ead1b489925c, 0x9133eb3624a47cf0,
0x9a6c7eba68df1594, 0x9eec41ea23fa0b5c, 0x3cdbbdf5b98d8b4c, 0xb985dc8f8e9e0fc7,
0x8facae28ef0ab490, 0xd0bb5b5cb7a25544, 0x774e2fdd5e2995d6, 0xcbbe218c427ed27e,
0x4f2d7daa2391e3d6, 0x3d788e433af4a921, 0xb828102fa2eebd1a, 0x69de4e9dc394a368,
0xdc65089391378696, 0x44e4aad6a81e98cc, 0x2d2148e67ae55af3, 0x8f8b5a64113509c7,
0x33e4cd7c19e9a8b2, 0x0041c875b8faabc6, 0x09abc607fc52d704, 0xdd1688995509d186,
0x022c31273c90dfce, 0x7714474a31241496, 0x4c63d3aa19d79170, 0xce5622277d47937c,
0x5781090df672a571, 0x8640ceeb8cdc5a28, 0xffedddbd765d1100, 0xf6b5a990254a354e,
0xdba0eb4a6c9f823d, 0xc952b52450f289fd, 0x7029e6e0cb17f410, 0x28c3a52b778d1314,
0xda2ba226420f463a, 0x1a04b80b08dffb9e, 0x95f2ebe7a0ae3e39, 0x0163895911108709,
0xe089e1cdc0fceb1b, 0xdd7d58b111125530, 0x308d69c2cfe54ba6, 0xaef42d1c276e31df,
0x27ea92efa48995f3, 0x1cad0906aa24dfbd, 0xd852a9989db95224, 0x500e04c2890e8bf4,
0x211015d5dcfeb006, 0x8ad4e805b53e46c7, 0xd29bf99b9471be8e, 0xe3b7a5f5dbc2ddbc,
0x67441f29b5c26937, 0xbfe1c12d30ead35d, 0x7ae1d51d06a171e1, 0xe70e69cf404c38ff,
0x341441136f277771, 0x32ba8bc656aff63d, 0x3c9de8b0c111ca0f, 0xd9b2001258ba8fa0,
0x3eb4a3bd1ac64896, 0x2048ec9cb2765cfd, 0xb51b6d8c486427c0, 0x5685d4b4d1a92825,
0x9a53ce2d78ab2112, 0x81cc626e75e674dd, 0x213f36e563be6bbd, 0x91cd5cd654a4d04d,
0xa165c8cd02922d2a, 0x9926685a10d67f53, 0x4ec68ebb001d9396, 0xfcaf0eaa0327828c,
0x01584791b6e5766d, 0x49d2a1f50f0051e8, 0x89d72e85c8ca7873, 0x3e76491ceec661a0,
0xf998f8eb67d43c41, 0x193e5ad2adbda372, 0xd81bdb5591a38247, 0xdd636bf82f7474e9,
0xc9b0a0b8950852d2, 0xad059b527bfbc39c, 0x28afbfd73b562aee, 0x34c6e8c8119e97c6,
0x46f405766e4ce273, 0x1a323bbe5d794524, 0xed5675d9c7710da3, 0xfabfd4f161960c7e,
0xb52a3e921929a52d, 0x9e7b55dc5b17861b, 0x8b3f7ec97b34b77f, 0xfa63be6376f6ae1b,
0xe7a04d4bd8ab7fd6, 0xea4b187503d6e89b, 0x7999b2516bfd00e9, 0xf24d7bd65df15db9,
0xa2da72be4d541871, 0x4cc78155a3dce4d3, 0x75e337c7ea9447c4, 0x94b95c55b9066eb7,
0x9931014a671fae5f, 0xc81167293332e36e, 0xf6cf02e94d6352ad, 0x3466e040a2e763f1,
0xde107bcd0bf2d30c, 0x7bb2a4af8928d195, 0x9fc9909aba44bdc1, 0xb69f09a4836efe5a,
0xb53a3d487a1de808, 0x5558873b25b08b72, 0x2057632b7f963b6b, 0xc57da58dcc6ae516,
0x29bf44619269e1c2, 0xd43662524a908590, 0x23981aa0f9d50c68, 0x65712ed531b9fb3c,
0xa0ca71f9afad9454, 0x73266f87baec3819, 0x8322f0acdd77584f, 0x57190270e5ea1cfa,
0x59e47eadcf2e94bf, 0x284bf97a77501a3c, 0x1cd585e03585934d, 0xc9eeb40d134a6aee,
0xbcbfd09b1e3d3f8b, 0xa753d649e6b389bc, 0xb97cbe57c44c8d57, 0xebd8ceb4978b6630,
0x3eb8f6dcf3137377, 0x15db7bad6001419d, 0x8eca34a517f883e8, 0xa80c5e00d1ceecbe,
0x60d32b2088b97522, 0xd445c93e31e05e59, 0x23cf0ec5100ccdb8, 0xf950efe33a61ec9e,
0x8749ba66ed240cb7, 0xdc6ce043323c8678, 0x449e0187155ac2c9, 0xd6647132dcef4d0d,
0x58f1a152b44a9d7b, 0xf5c3481bb733c774, 0xc02673b31d92101f, 0x6e03cf73738d3803,
0xb5ed094017928493, 0x4591a1b5d038b220, 0x823f20167f714031, 0x44f289c7cc739233,
0xc3517c06cc4a1dd5, 0x618dc92f70f899cb, 0x8d404bebfb35b752, 0x42c793ad9a4f30b4,
0xd6cae9fc01da9a1b, 0x3e513e6c94021465, 0x4a0fbf595b75f99f, 0x947bf2268c6fc1fd,
0x4bf383dbb2abe156, 0xee9c3b40770fad2b, 0xa0f59bd95a635e4d, 0xf52b99e41857b678,
0xfb5a63a103491dba, 0xcf2fd58f2a057c9d, 0x21836c7f301c6a0c, 0x9932fd6bb9fa6a4b,
0xafd35eba99b8a219, 0x7cbc1ee48db98b01, 0x035f281c289308fe, 0x58f1e075aebe9821,
0x4b82a42cd84a709f, 0x25809ddc3df0586e, 0x7f7e6eca759ce720, 0xf025fb3006d2aab9,
0xbe47add3d3418422, 0x84f79c9da216bc44, 0xa8657d4f01b2c288, 0xac8a6a9c206ca243,
0xae8ca2feb16caa6c, 0xf9ca74bbd5ce91fb, 0xe1b09ff423a2850d, 0xfad85195e07244f8,
0xef83fcd4f7cb17c0, 0x8d7e83d25dac0b14, 0xd13e4b1f6bf0a805, 0xadada711b1546173,
0x81913681fb6ac41d, 0xf2871a7b1d87aef9, 0x79522c6602f0bcd7, 0xfc19b18797818faa,
0xbe1c711cc2d07039, 0xe282629748973985, 0xbc0ed52dc0f5538b, 0xf11ee382d6e3f518,
0x8f0bb5a4b6f910e1, 0x9867be165d4f2ad6, 0xc575fff9787a8d3f, 0xca2e094752cead36,
0xc72373fb1d63f4be, 0xe303ad00705e6cd5, 0xfec75dfb0e83bda7, 0xcbe692e46a934943,
0x58cf3ff76e3144a2, 0x770f4e34eca9b3ac, 0x331e5bcce115f60e, 0x33636e39eabb9cf0,
0xd167e9c3b22c5d13, 0x52b2dcc00cad263f, 0xd159aac9c2d1588a, 0xddbc2dda8f6b856d,
0xa4688f418c5cfd98, 0xecd38a707141ecf2, 0x5b99b1fd6cd27f19, 0xf40b1dbb2aaab56e,
0xe67f615837f53a3b, 0x54d867ce32d85657, 0xd1ee4830cfa35d74, 0x72e354e9df5b4988,
0x7a385a40858aa435, 0x18113b58a89ab050, 0x1f333a14d265293c, 0xc1e37f5a38399a4e,
0x8ce259d3514e0083, 0x5f3547a7571ba2e0, 0xdfd706a79a21a5e0, 0x210f289b04411773,
0x2e9a0d971296bf7c, 0xcdc67a85cbf4bc97, 0x29f09b85ad54fabe, 0x664f4c4dff7a1268,
0xc4620a0890a27127, 0x71bd58f0bb0fb7fd, 0xf6a26656993ae541, 0x7377879994b6fc2b,
0xb0b45443d0f617a5, 0x612517d9dad3ecec, 0x16d26f2c9c235d4e, 0x1153d58b789118f4,
0xaf6f680c76b3ec44, 0xcce0ebc72bf5b523, 0x5e40f9b52897e9ea, 0x831d7996d9a3027c,
0x01de7e6708089e0e, 0x0e1e3f5c0e82c623, 0x9230e985fe74f785, 0xd78fe4a978412519,
0x05ad9657cf84896c, 0xdded432166286643, 0xfb807e7e346d341f, 0xaa957fab164b1c15,
0x80445c56cba073ac, 0xd1074995a72e84e5, 0xa420e83d2a9f499c, 0xadd5e1abd6731899,
0x7769bd9296ad66ec, 0xa52c71f373aa482b, 0x3c16c86bd3b112dd, 0xe2737ba27eeab189,
0xc939ce7280bc1e22, 0x87ff0a09862a4a82, 0xcbadd2d869b08857, 0x317ccd0dcb0cc9d2,
0xe8b878c2f628e423, 0xdf362ddd8e4ca6ea, 0x766285614471d688, 0xfb6d60b6fd22d7f7,
0x5ecb3c6542243487, 0xed91fb7932e1ffea, 0x24742c48a7965792, 0xcffc43f315b5c810,
0x0525d0a1b3c3c7a9, 0xb766b687a4357748, 0x0842107929f41d8a, 0xa6b7806bb9a09894,
0xe7779cd546c72cff, 0xc0c2e16e881f088b, 0xbf85da98c666d256, 0x48ae1e38a05c919d,
0x2cbbe4726a06830b, 0xc8d012ff9b748778, 0xbe027b5965f45972, 0xdcead234ad61e6a5,
0xa08f0f51edbb24a0, 0x779f93688d90b167, 0x97943e1939c1e88a, 0x6768aab84b63c9a4,
0xcf1be9701f11cbd8, 0x3f21e00d7ce372d6, 0x0a5e70ea4a3cc8c3, 0x7e2347b44d83866f,
0x097e66a173356062, 0x7d9de4ae0bbde3b8, 0x9d7b524ce2b3860a, 0x80cb7afa7aa08ab9,
0x595dbb3428fbc614, 0x0af42c2bfcec99c1, 0x93df7a96d2ac55ce, 0xe27648f38fd342db,
0x87880f53c2edfa85, 0x980a945e77273118, 0x5673e4979e94410d, 0x23861447a4619069,
0xe796a35305b956c0, 0xc0accff0a109a8db, 0x7f43cfebacf0e457, 0xe978e94658a0ff70,
0xcd90e94d71d755ca, 0x09b0acd95c50703d, 0x6fdf2d5dca83bde6, 0xe9c13699610e658c,
0xaad7420ae61b6769, 0x1f2ab89d7944e7e6, 0xa70abf69c1947b38, 0xb6d6c8db0f22ab0c,
0x4b6dd52916073e8e, 0x4d9862f21348322d, 0x5932576e5a5f4efe, 0x28695e3c21119829,
0x6d82a8058882d3b6, 0x754d1643bf6fa7a7, 0x64827dd6ece37ac3, 0xfb8ef96ff4c398f8,
0x9ea7c45bd67cf7f8, 0xac0891d114108f12, 0xac89c63929bf554c, 0xb508b039ab299f54,
0x9cf1a0afa921f0ea, 0x48bfcb975d4b3cad, 0x2fc8b7086e2f1ab9, 0xbea3d10ca0f575cb,
0xb212ccd2106ed95a, 0x606fd99127b13ee9, 0xca214f94e65822aa, 0x442b90107f533033,
0xede22288037ab4e4, 0xad5d2f2cc2845863, 0xb54c58aa294bc19f, 0x64fde41e6505fba7,
0x998ad11f5c745541, 0x69a4550ff51ebc57, 0x19fba5a7a7be74a8, 0xf5f0fa08a661c298,
0xf40aa076ba88bd59, 0xdca082482d972783, 0x1b3ff0657399e318, 0xb47c89e48951d972,
0x81bd03eeb1517339, 0x44b084c8b5ff3b1e, 0xf6724e1830ccf719, 0x1af2086f81a36f21,
0x7ba34e4b6b6a4a8e, 0x2e60d0c2a1738204, 0x5e1788470d8f1680, 0x02836d08e0fa153a,
0xe3e706332ab4d2b7, 0x5039f4805855bc52, 0x6a210847dbb26304, 0xdb6dd17205f20986,
0x74931e444d50eaae, 0xf70c760c3fcaf1e5, 0xcc4970a1a4bf2469, 0xa4cab62a706d1496,
0xebe00d58e029e2ea, 0x864d749a6dedff32, 0x2a6b25b25232a563, 0x9c2fa00b04a16745,
0x01886f87e9c77bb8, 0x3dd339b17db90d85, 0x69b8a2a843bfe53f, 0xb13e523b780f1457,
0x95f8b60ebd145c65, 0xd8d9273b7262d2c3, 0x98aa8b09c2c98259, 0x5ea01dcfa765891a,
0x102bbb82dc967944, 0xb11796a0dfaf008c, 0x62cebf15175ccbd7, 0x5ba2e07dd4819ab0,
0x0bc0fbb17875b8d9, 0xaaf39faf1a8adfab, 0x10c397c689a85097, 0x4b0fbe0160cd4b39,
0x3e73cd18b11ac513, 0x9112f3c8725ec380, 0xfba8a33d9779e299, 0x03464ea71e8e9dd8,
0xa32dc67996b69e9d, 0x01f17c631cad0ae9, 0x4245f5fd9e3779f5, 0x4e369e48e4be944f,
0xcfd0b2c37c2c9fef, 0x849d7367ab8cf2a3, 0xf4e8f6043e82a28c, 0x61a38ce6916f5ed3,
0x4d9023c0edb38633, 0xa302358aedc0196c, 0xbeaf68928345c24b, 0x3710b2de72474619,
0x5565a9c1a6017f07, 0xcb2766c721ceb683, 0x3e0cec72f4825305, 0xdc07c1446dd817e2,
0xab8daa43998223f2, 0x23d687796e5dff7d, 0xbbdc3247859cbcf4, 0x9581741bb3cd2f4e,
0x3262c17d0fb0dc1a, 0x6bbc3315fedd72be, 0x4391bb88d95c804b, 0xd73f83cbdeaacf19,
0x2455b44718e24aee, 0x7f63091fdaec4ea7, 0xe20017d153f4d7ca, 0xa88579a1c5ac5eaa,
0xa26cd14e9c27eb04, 0x91104ee07eb34064, 0xaee6bee4f3d84ac2, 0x2924e97966e4bb26,
0xca1c03dfb5ec8bec, 0x58f932b48c7d4e33, 0x56ed3ad2817bb309, 0x5526d4beb2afa9d7,
0x6e562d46af276a19, 0x60010660f238d3a8, 0xaa2a9113c9dfd728, 0x4d25e63c06c9b24f,
0xb7f9d4332f3ed50e, 0xcda88c284a00a470, 0x443f3a5abe0779e4, 0xf90c8f6759e7d781,
0xbfa48a58c7778a26, 0xc5aff9afaa9d431b, 0x5d5ef444695e1b85, 0x173536fae1d3bbff,
0x40a2376f7b2aee0c, 0xa4c8a88571c3831c, 0x0fc7776a78b477d0, 0xb53db5cfc724a976,
0xfec74eeb8eeee8cd, 0x1fdc3a5f83cd7317, 0x57457802c994454c, 0x336a229a06f51924,
0xa4dc769355ac019d, 0x071f16a06c2debb4, 0xa942786a68dd89bb, 0x730e2a8b7e479e39,
0xffbfb11ee010d0df, 0xb1d5c00f6cf4c6d3, 0x28b65774b51bf324, 0x2e4ca633f36943e4,
0x20c561be1285f412, 0x39b140bb7d2867b2, 0xce181e474f9d41f5, 0x2dab0b582861da8b,
0x9a35828c0a5c542b, 0xe637aca948de2487, 0x8befe3066a97c336, 0xc799e9cce3e1052e,
0x6ff709740b966abd, 0xf814c052069b68ba, 0x72d6ca05769f8631, 0x16ec2d500ca7e842,
0x972c946ed6b8f8d9, 0xa60707cedcc88ab4, 0xca50146d78874dc8, 0x40144e070791998b,
0x947b7d92fbf8988b, 0x95d659b8bef3a11e, 0x54ca6ff939e9ba9e, 0x3177b7a8bc3dadfc,
0x069fdf99d75a56ca, 0x6b4bdba415de5f08, 0xe96ebde5c4dff05b, 0xa2a0afaa01a2902b,
0xa2f7f029a7813c0b, 0x7bfd7d83698bf42f, 0x06ea1a1aa3f464a3, 0xf32406a8e004b526,
0x9f03878fce26e49e, 0x5692f891b51101cd, 0x267c7396f0d123ed, 0x5ea8fbb788699727,
0xe655798a5e485512, 0x4591d67ec63b3f28, 0xc6da8554b3c00037, 0x343f2103b4d73398,
0x33b27c1be87936fb, 0xa1314cdbfd98b49c, 0xfd462bbe17b7b92a, 0x0843a924a18f4ef0,
0x329ef377d33377bc, 0xf7a40bb43720e4a4, 0xf91df778dea7d018, 0x9c2947760204753e,
0x9c74abf7e8985b7c, 0x7200540d1cc7b15d, 0xbf2aadcaf041b960, 0x22886400ea99cee3,
0x1dfba390e2572919, 0xab4a516abb7cf1b5, 0x2a66ce81ba02e775, 0x9a22912f15c6ddbd,
0x8345793c6b48374b, 0x3095f94432f539e5, 0xcdbaa9c65c233f9a, 0xca58a7855a55746b,
0x0809baccf28e6d94, 0xc84dabf7ceb7bc09, 0xd3b582c0519a8a0b, 0xb2fd73243d2aa59e,
0x2f1bf72693e82061, 0x923ea17a16de91e4, 0xea60046381c06635, 0x78525df123e71143,
0xa041d8555c758dbe, 0xf6ff98dc9eb315eb, 0x5cdcbd91cdaaaec2, 0xf86aab56abf3ef55,
0x12e9ad338f7710f3, 0xf661b3709a7bcf3b, 0xcd003bd0cdd279a5, 0x77c790ddf751ff57,
0x2a670ca593c9ce02, 0x0443d06fcd269838, 0x6376595d4c7f9db3, 0x936b8fb00f5ac45a,
0x380279605615df1e, 0x4886d5c0e60da6c2, 0x5a759f5810af2c1e, 0xa5369c4decafdc06,
0x3dcbb96561d00bbc, 0xc6d5b973729f0a4f, 0x20938c0eb2051871, 0x2fafe912ba443ba3,
0xe42fa1f23b8c0883, 0xda65f7bc69e8744a, 0xd40b79a8dbd1f74d, 0xb3534e69531f783b,
0x3ad14e214682bcc6, 0x1b0a143c93bc9cde, 0x7805b28d8978f134, 0xe2137faf17393008,
0x235ee610b4cd29d2, 0x08e789036bc2dfaf, 0xf81caae860f96fc7, 0xbee5d915677ea289,
0xbdf23a89b7f72db1, 0x845f28f70e3de092, 0xf82915656ecd3dda, 0x2cb7c062e6b27321,
0xf9c9558bdff701ec, 0x42457ac2e3e7e60b, 0xa63676263dbb8ca6, 0xe01a69d91dcdd1f8,
0x39f726a80ba035b1, 0xf2255afa8014a7b1, 0x9489068a399a5f6c, 0x3e212784c41648a2,
0xe068dcb680152a55, 0x78c0f65fc610cccf, 0x89832644645cc026, 0xda870d1865f3c185,
0xcb8779948b3c0e7e, 0x82a9652489dcfb58, 0x21631753f8a6ab46, 0x085edcaeded35877,
0xea33b3c0bf8b904a, 0x44a2992dd9a1c105, 0x56134a80f16a1ce9, 0xa00e0d5a460b7d8f,
0x7f805b067de63f0c, 0x0eb44b63d3d80b33, 0xf14c555bbbfa8312, 0x2f81cf1f7a5d42f7,
0x1e400d68988d0fe4, 0x5b2293e0c62bd4ca, 0xd795de5c204761af, 0x34cf4779930d1c11,
0xd4304e9f6514a8c5, 0x507d7261cd6534ad, 0xc8e1719a09ba365b, 0x1242af4357fe027b,
0x68d81a6f7722171c, 0x8fe77861d81fda8c, 0xaa3fc32a99ad5d0b, 0x37353b260bdf9f38,
0x8a2562bd73ce61b6, 0x7c50da0821ac1666, 0xa3190c9ed9750aba, 0xcbe4832d0505d6e5,
0xdffa227239ec6826, 0xcfa7375f77c70053, 0x2a528663f2fbb58f, 0x5e5e090ec8527069,
0xd35455dbc31ca917, 0xf8bac820a6593581, 0xa2908dce958dcc41, 0xfddd36fbe476c2b0,
0x2edb77073c2ed3a8, 0x065bcc8945f3e1c8, 0xa620708ac3447e76, 0xba4efd9f28bb9d6c,
0x4551c812eb3b2b5b, 0xf379da238289e094, 0x5db26aabf2565fe0, 0x6f6aca809accedb3,
0xb28c431d118d1b07, 0xfd4feb1c1645ec8c, 0x15740e5e22f8b5f4, 0xbef0e2c2fe58e9d9,
0x2a51e436dddef028, 0xd0f534a3ae44a12c, 0xa79f36aa6ed5f875, 0x087214f31674974d,
0xfe35b77caab2ac69, 0x65d6538cc589bad9, 0x25174bb0bfdb7c22, 0xe2ae25979241d493,
0x0359e221adf91501, 0xa99d114459f67c0b, 0x1d9642476428fc5a, 0xba412ff0166dcedf,
0x782df8bada86dbc0, 0x638455627a754177, 0x7decfe4009d21fc4, 0xe4747bb76ffcdc8c,
0x88181a9baec37747, 0xebd3e3e9e7c1c668, 0x186f014cfeea02a3, 0xe4ea9c583cf8f6c9,
0x2c2836b08143625b, 0x423b2dbe98c75722, 0x058f650e9ee8103a, 0x76c8ef05a3bc6d3c,
0x206550a78820c8b6, 0x9f6a3ac23e00cb2c, 0x37007a6433d4d107, 0xbc6f7111e9e811e6,
0x456077076c19da90, 0x2899d37046960298, 0xb337dc76abbd3b50, 0xc07d96d9f7b1b3d3,
0x7ebb8d5f41a8fa41, 0x33bcced96db014e1, 0x17c149ad5ed3e974, 0xf5b6abefae6d1f21,
0xf4828cf0227491d4, 0xf2f36bd31caf108d, 0xaae76a1bcbd4f13d, 0xcc64372112092105,
0x8d2ec50a3087f3b4, 0x3ea245c8a845a522, 0x5d192f998988881f, 0x420237427c1b03fd,
0x11d608d5a36b78b2, 0x2b6f62038a61ec79, 0x8f40c6e6d2c3ca6a, 0x8263d245b489336c,
0xd3e01de65f314199, 0x5ebe7cd6dfd69aef, 0xf17405a9311d6b72, 0xcfd399907d9f4ee8,
0xe4a459d9f96a4d61, 0xfd46daff42ebfacf, 0x01af169ec019e39e, 0xc47c978743500620,
0xf6b21eb316ddd39e, 0x926d7f3a56769482, 0x2d62c92e0b426662, 0xa0a376e788f67976,
0x614d12f3ebf1c74f, 0x25451082d842cd99, 0xb0250cfc219f31d5, 0x86a79ab6d666e151,
0x1bc145b422612dfa, 0x2070aefc2f7cd298, 0xd22de7d9bdc57814, 0x6193d07ea4df45cb,
0xc4a4b8b2434fc892, 0x5d8a8d620f57061c, 0x80d0104116f12b3a, 0x326f327d7d91e207,
0xd728320c75e5f7b8, 0xfe6a0b6f5d44c14a, 0x2892486de709c625, 0x91ef2bc668bb0cbc,
0xa84536177e6a9787, 0x96cbb8cc93383dd6, 0xccd7dcd65655e697, 0xac700e390c39072f,
0x925f597642e05435, 0x5ffb06b7f900e947, 0x6cc62ef16ee00425, 0xd8440bb44f93f61a,
0x51e2a0482fcadcfd, 0x3e2a1a9fa47d5ca2, 0xceb8b19883969df2, 0x46521082bc8356b8,
0xec1f133865f3fe17, 0xc1f49cabb4eadb07, 0x56d3462e5bf36223, 0xbe8aff1000be3842,
0x7394d80158fba64f, 0x8e1adf811f76db99, 0x42f8a2d073ae11eb, 0x45f44e93ee82abda,
0x4cdfbfe1a0fa4e88, 0x204d157766c0cda0, 0x96e7ef6eac7a7489, 0xb66c240b5120aa04,
0x459dd52e1de2c7da, 0x1148787ae5f0ace5, 0x9a094363c877e3ad, 0xef9d3dc3fb791338,
0xdc3fededdac9a320, 0x0a519b95ffff95f7, 0x6609cfe87b68080d, 0x62959e94ad519835,
0xb7c449c9bf8afa9e, 0x11f209063d4507ac, 0x0bc42e57bedd2e37, 0x671d39b96ceecefb,
0x044527eb7b963fa9, 0x48cafa134788633c, 0x4477cb8fff7ca10b, 0xde5defca1a75ac55,
0x17f64da2dca59ece, 0x40e45455b805097f, 0xa07a0f46a70b5e7d, 0x818b43fb1c043e80,
0xa6fd8f6ce731a89b, 0x6fc862c588e31d0e, 0x508e1ffaacf2aeec, 0xf8672dfa2d5adfed,
0xb15b0337c2d149be, 0x346f3388b9d88bb0, 0x70a366c2303875bc, 0x9723d3339afac94e,
0xfe29f56c84cfac53, 0x5b499c27bbcae71f, 0xa394db10b60e6c8f, 0x2916ca59cc9f94fa,
0x25d62f78d10b0ba9, 0xf2e0182e07673ed5, 0xd2f79ad35d80dac8, 0xea98b6de39536144,
0xa183325edccdda7d, 0xb5ca8984e6a0e4fb, 0xbd1c5938f60adb51, 0x9168e8a373882554,
0x063302444bd90ad5, 0x4c6034d1f1f6deff, 0x1a5d12d9cec2b480, 0xa4cb87ffa55d1547,
0x4c91b0904d9959b6, 0x86dc657cbd189900, 0x5647a3c5db24884d, 0x20eb2435e06ed220,
0xb117ed2935a7b3e1, 0x8ac51bc96760a52d, 0x2b2b1843815e6dbd, 0xe7a760726e738442,
0xe6cf7a538acd37de, 0xb341fe5f75c487d8, 0xcb4bc0b40a49c051, 0x335e7ec90fd44e40,
0x549e0eba3f9fca5a, 0x11dfccdd4b2f2135, 0x03b1f8493eb1c4ab, 0xc43ac1f92f3bea12,
0x7207b9dbd930c04b, 0xe83be577d9ea3b97, 0x2db2c5ec823c5d69, 0x25052ca079416eb8,
0x7e012ec69c8d306b, 0xe0df3d59d012d1fd, 0x4192e8784437fb9a, 0x234c3ccd5b6fa6f6,
0x61763488625c823e, 0x5b530687d30a3ac6, 0xddf571a200d5d63e, 0x5c5d6d01dac775a3,
0x071d25bf0ac833fd, 0xac99778eab986a11, 0xe22baeafae9b7376, 0x97b3d35a0cfb8745,
0x16533bb6fdd41252, 0x5ffeb31bf3533fab, 0x5b3db782a5b8b24e, 0xa0ffea0041542ede,
0x9b41bfa159e4a5e9, 0x97e3217feab1c2f4, 0x47d7a8c4a933ef6e, 0x5155c6751b10c6f8,
0x046cadc9fef5743d, 0xbc0456f5eb89fc86, 0xdd3131aa5b6ec496, 0xc9d6a3f206f05aa8,
0x18623f8f954cb9df, 0x3b8f9c5f3d1ed9b5, 0xc5a8f5342f06926a, 0xe57908213e457ab7,
0x5c487de33d56f8e5, 0x54f8b13b9064b6b8, 0x00264d60937363f4, 0xee3ddeb08374c5f9,
0xc7e6c206f411a3f8, 0x1ddf9fcd745b384b, 0x02ef5819d563118a, 0x86d53ad0cc473760,
0x47bbb48575c626e6, 0xacbb8c53b8e4c610, 0xfe7960bfdedcf4f8, 0x2956a8e2b9dd1d3b,
0x64cee52115904e65, 0x4e06e12dc958b26e, 0x349bd01196399be1, 0x7e5b77c9d0892c44,
0xf68f625588054eb0, 0xc094ad20da36bce8, 0x6d9327f0703e1365, 0x946ff5c7973ea1b9,
0x5d5a19ce90078f67, 0x58d9ded6888d07dc, 0x0caa982ce77ce912, 0x7d7ffef8672f06ee,
0x26d7ac5f4918c318, 0x5ff6d11ea8b149b8, 0x422745f95d62c60b, 0x7519f778bed8c1c0,
0x4149149987bf2535, 0x391b7c6aace48d53, 0x01c0bce3a014ab96, 0x596cbabf34195dfb,
0xf8ce111179bd8bcd, 0xa777b4d75877272f, 0x093befdb47ddfd4e, 0x7149856f41a9931c,
0xa0935cacfff4bd7d, 0xc0fa2db6bdc010dd, 0x91def746f9e76fff, 0x65b13ddae95d6231,
0x2c772a1485bd37d9, 0xcc9d721e369d17fc, 0xcac523860f42618b, 0xeb9f8416c18ba2ac,
0x027c89351a77021e, 0xb13f8abe9309854b, 0x7ee182fa982e25b3, 0xbb49604afb3121cc,
0xb6040eb7c4123a2d, 0xd7e52e5cdc2e2bd1, 0xa0edad9f12f5223d, 0xb9c50bb75ab2dae8,
0x747f7ded6d50dfe6, 0x708954d8088caba8, 0xcf3726075efb1547, 0x91b5316a2e4cae0d,
0xe413b23e66347117, 0xbce2d2759201dc51, 0x05a9d7785c8ebd4b, 0x6b7c91bf45b24d6b,
0xd70c42c45d1bb405, 0x4d00c6c3290362d5, 0xa4db882996f01bd7, 0x2ce82c1d8eef8832,
0x3582aeb9aea7fbfd, 0xb29ddcd2cb0d40e4, 0x9761a3ce2259256f, 0x0d54d64a1e2df8a4,
0xcb88706194fa177f, 0x586cfe4548edde87, 0x77af635bc8757a2b, 0xc8fc480b27d59ac7,
0xb65632aaf3b8788f, 0x71b607a1e8b429cf, 0x96dd73fc07fff3fe, 0x961c62fc08815bd4,
0x32a56d92cec14bd7, 0x28c83b02f1b9782e, 0x6fd8d183d56b6002, 0xc7fb5f7f4ca8c2fa,
0x16fcbea13080517c, 0xdf2defd02860c8c4, 0xf2f212f0818cdd03, 0x551e1f1073641996,
0xae8f2a08b501804c, 0xf29d4589b75c6601, 0x8190701da1fe009f, 0xe6468515aa457e8d,
0x8549cb525b366fec, 0xa34280f850b06a54, 0x72455ab8219eb451, 0xf0eb00528aabe907,
0x409169ce48cfffbc, 0x1f02650200e492ed, 0x5856e540ebe567f1, 0x3ea9efceba507a73,
0x8d40538f8be37a4e, 0x01dc014d0501174c, 0x550e9c3fee9cbea2, 0x5141e4a22f54a38a,
0x3d5134f09bde648e, 0x4376958a1b39eba3, 0x8fdc8e8ffd3bf584, 0x1d4f7fcba86b1b6f,
0x8baf03d5f3895c74, 0x02468d5d474040d9, 0xa69e9c549377cc35, 0x99cefe759ee9254b,
0x670772236ddf5e09, 0x8419f6e8c15a913f, 0xc8111c51d2897c7c, 0x47fed3c87e5e830a,
0xd57b2c2597389496, 0x72e03d9dd7c0432f, 0x9ddfb663cb225a33, 0x644407622a42a19b,
0x36f1c858a8191ee9, 0x5b55eb9a39c79eb7, 0x205512efc9853ac1, 0x61638bbd871baa91,
0xc2c5a321972e06ea, 0xc2d50ebb51ccef81, 0x00a8cdc815b2002d, 0x35e39c3d85bb220f,
0xf7cc216ccebdabc7, 0x034d730c94c6ff38, 0xe68d4736576f5424, 0x657f20ae289cb61a,
0x7587dbeb4543d01e, 0x4ac370af3aa7a2b8, 0x0608fb7b8b38b542, 0xf3aada3f9f9d4ba6,
0x16a3a0ade12bfd54, 0xa338857ce1c56ba0, 0xea7364c7d14dfafc, 0xb815bc525eaaf960,
0xdcf48128ebf48ea1, 0x08c31f79e642f874, 0x96eb3af427796aba, 0xf18bc0fba1acbede,
0x58a601fdcb5d1c1a, 0xec523f16292e0e80, 0xa38eacf0b885861a, 0xcc3b3d9854fd523b,
0xf36f918352406b3d, 0x43400fd10760c884, 0x933a5c242df16d71, 0x80c922ce4d62c945,
0xe8f049073d0403fc, 0x4178783a4d8b1a82, 0x90dc8f6ae6aa23ac, 0x54a9e1b221f0905a,
0x45ad3abb539bd4e6, 0x66d388a54f923a17, 0x6c4f7cc6183bf8d6, 0x4bcb4ba3f6d7b5da,
0x4e85c0f645bb886b, 0x19475ceabf6a96df, 0x9189ca576d87ac75, 0xcaf7fd78674c5b85,
0xf007a6c6864ba792, 0x1b50b2b7974a5c36, 0xd951c27823338cc4, 0xa6cea6e5ae80291c,
0x127675d7f6ac8ff9, 0xab587be3feda1cab, 0xa16a0333181d992f, 0x2a51c4eb17e3aa06,
0x14c4d94e333d2a5d, 0x3dca8f448e89f225, 0x409d11a4d5257ee1, 0xf560e29949efa40c,
0x869d8125b8b24ee1, 0xcf3284de7f4dec37, 0x84a0e1b90eb6b517, 0x55d708ccc7d01e0b,
0xbe466bed445005c4, 0xc790a6a9ba5bd332, 0x3f262db07b7c9756, 0x13fe360480a7830c,
0xd27d2bbd7df4d28d, 0x40ee0d80122be9b0, 0x04ee84519a7d3704, 0x14415cfa51e2052a,
0x11c4c53bce9962c7, 0x6e85b45a40101948, 0x8dc219a91e3888ea, 0x4773b03be2516ed5,
0x4904a0e3693e7b89, 0x3fbbe0b4d143bec2, 0x64ceab586f528006, 0xef22f2545e9d0b60,
0x882f8241080b9895, 0x8ad1259eba0ae10b, 0x4db7830c3811f62a, 0x4f556432751e289b,
0xf86d47e71a3fdfa1, 0x0b2f109ce30bc4e1, 0xe3fe65c18aeddbae, 0x0e8047ba359f1a80,
0x49839edbdca3f7e6, 0xb131a101abd8ccf7, 0xbb403bf586c22340, 0x8fd364f6acb73ed9,
0x840e9ce2110c44e3, 0x12f2650abb61eefe, 0x4a7ffc89e18b1c0b, 0x32fce4dedd44a7f7,
0xa4958aa058687c16, 0xd1b031eafba424c5, 0xf49dedfb91512a01, 0xd987e938b0722694,
0x001b841d8fe3b34b, 0x64df5fba0961780c, 0x66732ca2329ff525, 0x18735ef5cdfce09a,
0x4597de07aa64a94f, 0x7bbddd549017eeef, 0x760597fd8d2ed4cf, 0xe3766b93e0d0ac84,
0x21faa6c988d9aa98, 0x779ebb2b615a4e8a, 0x1dcf5a963461e524, 0xeca7f0dd5bfecd69,
0x75e7888446c9f52e, 0x06dfb3ad640ba6cd, 0xa7ec5bdb9d7ef026, 0x89b0b2c86f106ec5,
0xd97c364e226490fd, 0xd2af46e1ea09fc54, 0x8862d5a50b98f8ca, 0x4dd09b09544333d6,
0x2a9f3e95f0215815, 0x5daa5e77756a3b10, 0x96cf900596833435, 0xaf10588115709a5b,
0x4ee06b4cfd8fcf9a, 0xb234068040000222, 0x062933989e6d6eb5, 0xf8e240565da11cf9,
0x660f25687ae4e535, 0x1141f1e1840ef44f, 0x6c8c4da79aeb5ca9, 0x83033dd75132b9d2,
0x1b06bc2b72c6cd27, 0x2006360a1ed89ba0, 0x8bcb42a2a24e2ae2, 0x27dc556bd78fef02,
0xf76553dd32fb13c2, 0xcc9bf0a27a440aa3, 0xd459cb73642186d6, 0x8d2b4f094ac320f5,
0xe6f78bfb8aff5757, 0x45227df690929bcf, 0x834ac2cc4791c761, 0xce2af3ad01721f9c,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0xeedca7e0c951d03a, 0x8c3a63c35a3a74c5, 0xfa8a42505e1aca76, 0x9e0b6262463270e7,
0xbe5f2c0bbc622002, 0x8bcb0324db709e0e, 0x4dfa15cbf974028b, 0x91f6a4e258bd0908,
0x39c2322b625cf89c, 0x81a6d586b71f7dc4, 0xb776f914608a477b, 0x7b1b066d9fd38da6,
0x683d887edf2ad19f, 0x932feda5cd02ec7c, 0x39dc8db7ed59a6d1, 0x1cb57620678f4dfb,
0xf213050bee21fe36, 0x4747fabea4738f11, 0x23b75fd0a4ea2ae4, 0x33551327e0715d43,
0x05451167e0b948d5, 0xc12b5141c5bffd39, 0x70564fac026ce2f6, 0x1722a54441718a12,
0xcfc3834ae99902e6, 0x1308d7f7f19fd04b, 0x04bea6c145ae0ee5, 0xccee8241a570c968,
0x5294c488cb3b0bca, 0xa62c35eb08ae56e3, 0xf2d1591ceb391ed9, 0x282b3d507f2024be,
0xa735799795f0a66b, 0x5ef6738449ead606, 0x193c3d5407959e22, 0x8b3834706b4ad5b8,
0x319b1594dcafefe2, 0x2fbaa5cd2f58bbb7, 0x7fe46be9d546f0c5, 0x476ff0befaaec411,
0x4bf095df325923a7, 0xdb8ad4bc0cf89f23, 0x42e832b62997c678, 0x2406b889805a4d2b,
0x98c88904cdb09c7e, 0x0ec51b7a3fec5805, 0xe68070ccf539b26b, 0xfe73e57af33e3448,
0x1119c5aa330e82b4, 0x493b287c20dad20f, 0x4e05506904754617, 0xa94349868339b93d,
0x458ad7670acaecef, 0x772f0748b7254cef, 0x86354036a9a1bf40, 0xd6cf2ac9982573ae,
0x23cddbf845a2813f, 0xe6d5b06f5a65211f, 0x4c73b3fc538e06ed, 0xc3373690b62a231c,
0x04110e90d454550c, 0xc0cd5bb5479e4032, 0xa5d05b8c0ebd2db1, 0x956fd51a130cf00f,
0xac1d51907f6751be, 0x8c49ef886759567a, 0x5a001a21694ac906, 0x6116187d67a7abfb,
0x443494d942f9ca00, 0x948fd111db19db29, 0xd016c93d5bd34508, 0x44641b3e3d8cd06b,
0x1a6d94a8b3e1571b, 0xd63cc3dbd6056d78, 0x3da0287568f7a771, 0xa06c041ecccccc34,
0xcab283bf2dfab727, 0x09f64659271aa55c, 0xd125465e53f07efd, 0x9c113cb88f8ae022,
0xa226c83f10155980, 0x538fadc1cd1724e4, 0xb9009dfb0311d9f9, 0x7b111d860f9096dd,
0xcfce9c0bebe9e8d7, 0x9728bdc759f9a8e9, 0xd7e016f52f7a2549, 0xe7ba45de23b820cf,
0x0c5b9051c29c819b, 0xe4d2542e5c3e0858, 0xc571ef54c864f690, 0x1fa83e7eb8c1eb18,
0x1849e47b4b565700, 0x046614d04e7addd9, 0x1876a03d342d6971, 0x1180d1ab8c8e0a47,
0xb9101255287a0bdc, 0x7f526e55c5f10d1d, 0x91167b055836ae8d, 0x677c0715bac0ae8b,
0xc9e76104bf4a3734, 0x062646b4678a529d, 0x204e7f5b643b81d3, 0x6c847283a0f9bc1a,
0xf8e68cb8d4464237, 0x00aff6fc7a134438, 0x0371c005388581b2, 0xc3ea62ecc39ca54b,
0xe738af197b2825b7, 0xab0840b3a6cac25b, 0xfa9f3ab8c67808ed, 0xca4fb82d078d8a2a,
0x25be15a56c7a6283, 0xbc1ad2ab28c3f86b, 0xee50972501c4b52f, 0x9d1745ff6cde957f,
0x052d0ec30cfa7923, 0x0f69c5dae10380ad, 0x6fd6081ca097d00d, 0xee8dfe85babe2e09,
0xb4d7449f88cdc5fe, 0xcf29d18e4e66171d, 0x556404519b37c8ee, 0x3bbb7d622176d876,
0x545ef749cbfe19ad, 0x8caa7998c081dda0, 0xc3c961bb7c6c0708, 0x0806d5680dab22ce,
0x6f47951c99190618, 0x661f469eb80b44f4, 0xf52ced8b05b59fc8, 0x608c961847a71320,
0xec1300aa3a3a472b, 0xa4fda54a82d5b545, 0x049ee20ae96b6e43, 0xbaaebd683585ae5f,
0xd7235f034febbfe1, 0xd81135a204422d83, 0xc83aea2248dcde2c, 0x3d7def57d1e02da1,
0x63692f4f90110d2a, 0x7855033f4dbdaf34, 0xec26ef59de03eecd, 0x801c1c7db0a8467f,
0x30e96fe14975f925, 0x4120b50d2695e98c, 0xf5ebcbef2360b166, 0x1f594ab777d4a7a5,
0x34ba90b2aba42d03, 0x4467d0c6c3f9fe3a, 0x3fe794cf89c4fea5, 0x71b2acdbe872de43,
0x158e424396f789fc, 0xbb01aa76f1729b66, 0xd04eaec6aa61f15d, 0xa618affc32f48127,
0x9d98b124d223427a, 0x6df87fa6539bfaa2, 0xeba5c6f1adede360, 0xb55526ad159d94bb,
0x7aba35d95db81a89, 0x0235c7975a847760, 0x1942ff51922470af, 0x96f2a54607e14882,
0xed35cf97101055cd, 0xd12d5e2f1713c8ce, 0x552cf6757c6ead6c, 0x530bd7ecc0e5d4f6,
0xf78d450698d2c5ab, 0x1d91b24edc0cbcc8, 0xb935b39163b88df8, 0xfcb0a9066e15f695,
0xb91cd79b199aad88, 0x61b3b0c46a597610, 0x1c3ff19b69fcd728, 0xc245f87c8c733a2b,
0x35c5faf1b9df0019, 0x6183cabe3728d4d6, 0x1fc88253ccc491fa, 0xf056f780e7349ecf,
0x0f7a570aef71c143, 0x405576874b455c40, 0x05715375ba4cfae3, 0x0b70e4db263cdeb3,
0xaa2953a9a0df767f, 0x1fc7d20ab046cd55, 0x5ce12921da648770, 0xbeaed8e67d1b60fc,
0x8301d88886d910e7, 0xa56ad65789b2f0de, 0xdd0a56762fa93464, 0xb5beeac158e8c6f9,
0x3ffd8c534ef8c327, 0xcb0a3826b5a8add9, 0x99c9cd658d10f2a4, 0x2a5760b13ad79b73,
0x8fdefe73725d0fed, 0x05147743cf9f8f56, 0x0776f762e2e5898d, 0xa3fd095366bf2682,
0xeac9d6b14da24bd5, 0x482e26613ae4fec6, 0xa86109b8a2eb4966, 0x789d457de61aa75a,
0xcf10363d8926c0bd, 0x25d3ade5315962e1, 0x7da5e59de8ef9965, 0x03eaf354831897b6,
0x0b6926bc526bb421, 0xb94beab00fe73ce7, 0x41b92de25f6ba13b, 0xcb781ab3e278f4e5,
0x3f576c029a60cdaf, 0x454b07952701e9b6, 0x8e2a04764b5e9492, 0x5d15f0eaa3bc23f0,
0x5d936e8a7a293056, 0xe5d3d1f4dea1ecca, 0x1c69082e7321904a, 0x04879264f0b8c1fd,
0xc25edc138e526759, 0x7f266ac53d61e887, 0x6f3fecb7fd7479e0, 0x888c8a9c866c39af,
0xf1bd55c8cd4c767d, 0x31594fce2f509caa, 0x65072bf074b41878, 0x5c6c884cfdfc8afa,
0x3c62832e7c323d7e, 0x5efd8b019cb5e902, 0xeec6db2bdfe49052, 0x9b3b12789b54e1d9,
0xef6442d0045a2422, 0xdc9f647d840a6795, 0xd805956f51c0904c, 0xb2265f8b0f255b00,
0x528eb333c0d18f24, 0x550b165d3eedd9ad, 0xf1f50f6ad334bac1, 0xd0e02e4fdfe7b99a,
0x9b833d3f6c6934a3, 0x5a30b168cf4e7e94, 0xc8669606b3e5797c, 0x223e2f3d55c98452,
0x5d297547f60fa049, 0x80d1297610174683, 0x93e471ae279c4e17, 0x379610eae7171e8d,
0x46edfe107be63eda, 0xd9ff77246253e46a, 0x601411085976302c, 0x15505db63eb6ba38,
0x55e879d7c002180c, 0x77fd8e0d27c942d5, 0xec36abc90c9d8c40, 0x9179bc137385859d,
0xaca981cc12043fb7, 0x9655e80a1611f4af, 0x924e54c771400ad6, 0x4b852cf0a9043cf9,
0x6e14495be643a707, 0x9444e022daee757d, 0xb6013cdec879904f, 0x04c8649861909465,
0xc28696e5675f5571, 0xec88526c947de72c, 0x2a185c5efe0bbe5b, 0x9095bf03f0f4f45e,
0xd6994a228069461f, 0x0e2c6b10f6900418, 0xb6aee5b977c75a0c, 0xfe863c2d199ed4e4,
0x83f6024fce5f78e6, 0x6275c174bd0ade4b, 0xd4a983cd5f8a5e23, 0x62c17ef4e9006ad1,
0x689ceb571b996ead, 0xdab1c5caf08b595a, 0x49a2cf1a22921753, 0x1567664576587781,
0x0bf1f5c29714c1fd, 0x396b4f84fcdad2b9, 0xa3c791b3054993ad, 0xe0ec8ba6171bd837,
0x580439c27c94095a, 0x5bde22eb19cb519f, 0x6c63f3d7074148f0, 0x234bcccb5d8e3685,
0xe2d8297abf1aeb46, 0x2fb89975e94882c3, 0x34fd8449def296a5, 0x40ef531ff0532f88,
0x74c2936215c79631, 0x2bea03393b39d0d3, 0xde6d28f55a68015e, 0xdc9ad0c8b709c6a8,
0xade1c8f2aa701a24, 0x187588d257b6b6d0, 0x44030ce46f9d0ae8, 0xa95749367447e64e,
0x53ad95fd69f31d93, 0x9dcdaf159f3447fc, 0x1a2dd5f1e6f46453, 0xfa625ec697ee9e6c,
0xd2cd0d906f71b0c3, 0xdbc1a14eb5430c79, 0xb9b3f1125daa1389, 0x971c9eed96c94700,
0xb731e271bcdafdc1, 0x6f7c5123e3f9b76c, 0x3332081be60f26ce, 0xbf0b21f05100c86f,
0x145838fe97158f18, 0x0b476445d7c99fc7, 0x8aae6516078c6b3f, 0x49d1202e75a47892,
0x19167ecbd5675bc0, 0x28c6d8bf7be63064, 0x07c0876dd0e5d4c2, 0x9901d9bb0475ffa1,
0xa4b245bc7e67acb6, 0x77d1b38a3cd33147, 0xb3db1c30e10d87a6, 0x20f626f1af66a562,
0xf7a03f4583d5b299, 0x5c6b4bd3a83718e2, 0x826e63d3a60fa432, 0xbac7825b83995590,
0x4370af144fd59cc8, 0x718965e31b440927, 0x25894644dd0ec107, 0x71609e626d0bbc25,
0x23de302c59a13b66, 0xbcec30b40cad1f96, 0xd8a0f4c04171fac1, 0x5c13531581cf313b,
0xd93b39fe92138f7e, 0xa032afd46848a759, 0x5040f30a775d1d09, 0x715861a47214ca47,
0x614f7d6f3b54636a, 0x58cecc1be72dae12, 0x27b61d27ae455ce3, 0xdf9fb8ae5a3eb273,
0xd1454276a1cb05c2, 0xbab191df3e98f797, 0x35684119f85c2482, 0xd241d81e5744408e,
0x5b9fbd9c5169ff7a, 0x9646038bea34d844, 0x098505f7c378ce9c, 0x6050399903151a93,
0x47958b99b21a2ee4, 0xf2661e3533608799, 0x0ba5ebb2dfda4358, 0xf8fbe9ad66652fc6,
0xf5f483584e94f501, 0xe3503fc5e95479fb, 0x1512fc47f82b7a4d, 0xaed3645653345f51,
0x321b73054c99a5f1, 0x4a2ee1dcec34b3df, 0x43cbce287fbbb582, 0xf8f98e28fdd88ce1,
0x4fab29f4e6d7a5b4, 0x264395556cb35f0c, 0x0acf890a5017554d, 0x7aa7dc37c13b1848,
0x2371f1608ba74a63, 0x903fec755e0aee0f, 0x009fe6c15ec4e0a2, 0x824de33c89ee04fa,
0x46254790c0354ac9, 0xa9f370a62058e8bc, 0x977d768da83afbd3, 0x42d7f4b8d680f84c,
0x4efa382ac36866bf, 0x41fcd288ca22fbe2, 0x7d9875c548bd222e, 0xc97cb3762ee57adc,
0xf530770f44070480, 0x1ab2560990052473, 0x3b5fa3ecc1d933d0, 0x93cc208bed0aaf86,
0x9c39e3d2a7541ad1, 0x5b093106750a5076, 0x67dc7bb4b7361406, 0x53301bd97e564d39,
0x17d108cdd69ce79a, 0x434eca4b7bda6429, 0x2a4460d967b771d8, 0x0d7817f4662a20e3,
0x83622d96686c8916, 0x3e917d557d9232d3, 0x213070ddb0829c1e, 0x4e7d79faed8a625a,
0x7e9e796feabaf30c, 0xf179d8630c7482e9, 0x234d96985e03b774, 0xf4f427c41d28b5b9,
0xf17fd9da735417ae, 0xbd2282e466cfed71, 0x95a54f8ac0e815f2, 0x7432918e790f17e9,
0xe9d1542b88091651, 0x923042039dda15a9, 0x2a3a2854d024a9f2, 0x9c02e5ad6e335b22,
0x10a9d427f6c85f6b, 0xd254826ee7d89670, 0x8a7a681f1ce57917, 0xd23620e65b1cf653,
0x63e471182233bbd2, 0x86d584dc12f61090, 0xea6953a7f6cc73b8, 0xec78d41058948340,
0x0c57022c8580ff10, 0x6e8814354d096c00, 0x9630a01139666f3f, 0x9866366fcc49b3bd,
0x990abf7024e1077d, 0xc67db297519b6601, 0xde1590e766eac3fd, 0x3d9f4fc409db0190,
0x1d493170c2edda8a, 0xd38dc9c314a5fa62, 0x8b20bdf4fe140929, 0x96e35100c4cccf48,
0x00667b36850c4a85, 0x7a57c842977eca84, 0xa7cf6d0c0f6518cd, 0xa4a438711a7ac38f,
0x9013c6c7d9a59c74, 0x28f0d954f072d8ec, 0x9281955ae6b21293, 0xb49438cc63f15971,
0x5c31a2eee5f672d3, 0x060b3deca98e7dcd, 0x6908830065b682d7, 0x61a8e0567c3bfab9,
0x3dffc0512a3b734f, 0xdccdf959c9b09edb, 0xd1c6dc1c01a0e87c, 0x610dae53161e0812,
0x4d2d0edc18dffd1e, 0x70c1094c6d2668be, 0x78228c7595e3408e, 0x830690cb001ece34,
0x294593f1fe29986f, 0x97750956f6a473c4, 0x65145dc2affe6846, 0x89677373d2f5cf43,
0xa1868dda2542c805, 0x5f1e8ebcc92bc7a3, 0xec360b46ba8bb93d, 0xe04c7d42453244a0,
0x1b39f0a4cada1f23, 0xac6927cef5d61d23, 0x158685c1973f929d, 0x22a01a3db8903bcd,
0x21ef5669f65d2472, 0xdec89fa413e567e7, 0x9916f6cd1bdecf32, 0x04351f33496c2296,
0x049ffc3f1407dfbb, 0x92fcf36cf3f1e705, 0xcd2319fd6046ca0f, 0x3b30f68c1b0ba08d,
0x2483ed36c613c02c, 0x915ad00983df3a7a, 0x68bfb60ca70a3cb5, 0xd8b233a32eebf3ca,
0x91019006ade73bd7, 0xc738f45ed144e990, 0xa98f0082d26c0d4a, 0xf848d9df9a444dce,
0x0f4ee801e85e01d7, 0x4cfbeb3fd576e939, 0xaaad7bcf23d85984, 0x45daa3a8c693d0fa,
0xed5b9a172e495e35, 0x76d818e7ded6b691, 0xc821b413eaf96497, 0x4b9ce6e6fc87a184,
0x6a48a853d344f0a7, 0x94028ba1588eba23, 0x3d01f2fd2107654d, 0xfbeb502b13e7175c,
0x8fe7521cc21dc1d5, 0x5ff6c77b2251eed1, 0xb1908c4f73fa9d06, 0x8de670b8040f5f1e,
0x03f6d066065e1e69, 0x74affb51c2b74761, 0x0a569d7c6c31e689, 0xcb311c8d24ec6662,
0x83e00e002e69dd49, 0x5f6d8a7a8d161c96, 0xc7581248e7a3a423, 0x73c206d05f1ce563,
0xaf20860f7daf4564, 0x64aa0da623f08bf9, 0x89f825758aba0b9e, 0xcb5633ff07db796b,
0x609674eeb2a1e504, 0x2cd638565f222b5c, 0x4af04e8da85a09e6, 0x994413b89736c693,
0x42bcb97e73a04713, 0xd61131b54f09e71e, 0x3206e5a25da6b730, 0xc4f59f4751f3e4c8,
0xf3f99500de1fca73, 0xabbd971696a2fa86, 0x7ebbb816255f434a, 0x9420e3cb88e90040,
0x4956f44faf60594a, 0x01e35c097df95500, 0x301b829dcc499373, 0x694cd2176c87c8f0,
0xd1af81f166d232d4, 0x9e07e5039a5d8008, 0xa5c1c4b6a2f22bca, 0x39bbc86346e5eef3,
0xed19a035b46b75d5, 0xd302602a109cca35, 0xa62f8859a1692e8e, 0x1b94f9622c7eedb6,
0xfbed00befc0b0b69, 0xf74d8abbd92bd28f, 0x0f65aa3fed0e01ff, 0xd025f3e2e9ae4bf3,
0x4e86522ae27336bc, 0x19e7b4b5f426b678, 0x5c474b6fbd411bb9, 0x0b25f842865a3900,
0xbe10802a2f6985fa, 0xe9c896f6d31f1b04, 0xc815edcb36a8647a, 0xe795534ccec7bc5b,
0xad8f53989fb55458, 0x176d6c3fc36305ea, 0x604ac92d29021d3d, 0x3b397899b8295249,
0x3f5421792baddcf8, 0x6e2487532ae82053, 0xe32ca83fb42c54dc, 0x12a5a565b2693842,
0xdf5bb9c2675c2818, 0x84c049536e24e16a, 0xc693bba9162f56b1, 0xab89ad7daa4fd305,
0x225cfc06cd31db7e, 0x38c669dda9bbde8d, 0x162a837cd0189451, 0xb7b67b2a61230abe,
0xd2525f7f077d1b65, 0xb1731ea0f0f55899, 0xfe141c3f4516af80, 0xf13f04dc611f144d,
0x4ba25c5196746647, 0x2c5d728666c32f4a, 0x0910d64f0593f13a, 0x74fd544879fdf502,
0x572381a1b4dcdd3e, 0xf42a914c1abe9664, 0x0fa9e4cb9ce67f0d, 0x52b58781b3fb603e,
0x71520cad1db65117, 0xbf9f981b47935256, 0xaabd3917dd7192c2, 0x2fc98f8310b3b1e6,
0x763ecf79485a7e7a, 0x2e9184d425436183, 0x798b15b456b24f10, 0xc50f0f553f211a38,
0xd31a2e17c57d21a9, 0x9d359cb7034dc79f, 0xe0d4d2c6788232f2, 0xe109e83331e89b15,
0x2db0848c8f42c145, 0x69e209a189669a32, 0xd6b238ceb614f9fe, 0x32780472f981db53,
0xa04e14afb47d4c31, 0xfa0bdf4c63ae4b87, 0x19016376ab9be09e, 0xb44e9d058b95b62a,
0xe5d93873934275a4, 0xfc3ed9a1c8c4887d, 0x0654b73ce23e0614, 0x14540550d8dc3961,
0x95e9a7c132aecaaa, 0x823cc14150348b0d, 0x11afc75053a0e977, 0xbce93af8e490f0cd,
0xb65330d69b4337f9, 0x5be17a4cfda9a219, 0x85d2599684eba638, 0x63d0fe0ca7b6979e,
0xa527a5daf110958b, 0x824f38ca7f3026fd, 0x229217507f26346d, 0xb4cf917bb37c2303,
0x5b2ab24e47560abc, 0x3d3c6c0ee654554f, 0x5128867c9b5adbf9, 0x07d61123b8afc4bc,
0x5ce8b94eb5063afd, 0xc6a6ceed33496a13, 0x1a6bdfacc9e25b36, 0x6e5a57c5d3067bf7,
0x036f32cb0e961107, 0x319a4a1cef386689, 0x8d23d0a98654761a, 0x5f4d928fb9de303c,
0x4fd9348989fe56d1, 0x8bf81ddcc8b68636, 0x840727876f78152a, 0x7af41e9ebf8733f2,
0x268219578b5dc867, 0x968796ad3a6d0826, 0x998a02a35a0b2f30, 0x623ed046e001f561,
0x0ff26d66cd9edeb1, 0xd1d59598059ba367, 0x57aed45d052aa0b0, 0x4013d3f12cca9322,
0x8f84ab1f762ccca1, 0x55d32a97ef39e2dc, 0xb561727f67d7491c, 0x16f112500cd1dd83,
0xcb3e9a2480036b18, 0x1c85e3a9cfcbcb06, 0x7e6b4a5e720569f6, 0x3aa960beac17014a,
0x1e07efe5ed7583ce, 0x6f37e1f909f7ad7e, 0xdc3510a4e3ff2bb6, 0x62caf8d624891132,
0xb6b82d4d5bf20b0e, 0x0718d04ebfa159d6, 0x8fb03d6abdc3c502, 0x2489203e90249ca2,
0xd65e81d74f1eda6c, 0x0036c8583360bc66, 0xde20fb216d94ea20, 0x5f88e95becb5121a,
0xb35aab96e20b0ef3, 0x95c467af0f1c18cb, 0x327a852397ad9ef7, 0x16879d7b98361c52,
0x0ec50bc3457cfaf4, 0x48d6017ef0f013cc, 0xf962704ab5e4e56c, 0x5340e80c374b0d58,
0x3b3a8659127cab35, 0x09125ffa12f7ec79, 0x08a9ad56710a76ba, 0x6483ddd616389fca,
0x54645c1924316d5f, 0x729f22451934063e, 0xa7675de5b111d262, 0xbd49f4fb9ed52be3,
0xbabb549481ac64ce, 0x29f77467e02d4f8c, 0x2c7fb915e461d6b2, 0x2854b544b2ab3da3,
0x52a817c81ed5eca0, 0xa747859e1e88ca60, 0x2fa81d34d023fbe3, 0xb9dfcd89947b98f3,
0x4dc60be5ff88a7b6, 0xd5ddeb898454e293, 0x6f66adf6de5c4c9e, 0xc79e508ed3bba1d6,
0x465e1a49940d8363, 0x8dfe3f6cccb8fd2f, 0xa9ee7869d85e52ac, 0x4ed79e1efad22402,
0xb355182660c67f4e, 0xca4897da6df223eb, 0xf1c345157a656ee2, 0xb206e81c824f5ea7,
0x29b8c040f071a234, 0xda174d83dd78a82e, 0xb5fa8a0b95ddf173, 0xdeee03b0a6a1d4b6,
0xc1106005f8199f51, 0xbf4dc0cbd746b65c, 0x916d314a0a3f1507, 0x5520e7bd2e720374,
0x9d5ae0058396f203, 0x887387852c63c969, 0xe5ab872c3ef90004, 0xd8d5fb35585f1928,
0x74dfdb82146c69da, 0x6751b673d3225d6f, 0xf2ac98801b51d515, 0x01bf64b441ad3cd9,
0x6f1a90518be70bdd, 0x81937c5c9fbc78e4, 0x6b6b66a9c322c6d2, 0x5923d45d78f2b1f6,
0x71a153dea87ee760, 0x7633cf6769c86aa0, 0x2ffe0c18a2f71d3b, 0xf141d6ff24794911,
0x606bc90e3daa0cd6, 0x70c6b3e8e41912e1, 0x184d898657e98393, 0x98a3798770e1d251,
0x98acb0a3f9ffbccf, 0x9a7d28091c1a6565, 0x4f58611755cf196c, 0x3d3c0d93dd24d551,
0x696cdca52f629ad5, 0xdb92ef6a360779db, 0xe55fbb8b3e05d929, 0xfeb5de5e075d1ef7,
0x5082480214462f50, 0x8fb42d9f5f8f7f6c, 0xad816d33e83722e4, 0x299ac652f5c6dfd4,
0xc09f941425e8673a, 0x4a1a70417629ed0d, 0xc06d6f2088feebbb, 0x16e62194b0edcc1a,
0x9ff09309d5927e98, 0x5dfc6122fb7e6e3b, 0x1323ea44c789a8f2, 0x03d23b37b7f4103b,
0x7ec3772172fed47a, 0x661df689e073abae, 0xdfa436d5db06a55e, 0xa10c8dd313c66ffe,
0x93d7596342ba47a4, 0x53ba9f97113c8fe9, 0x608a5562d2fef37d, 0x4a2910ff78c914cf,
0x6f503f67fb72d363, 0xaddfb8f733b41f23, 0x43a136d5eb1d9e31, 0xdbb9094cc9208ed7,
0xd521786507fc7464, 0x1d8c66346a280b77, 0xa6299b261217f3d6, 0x8b8e5e6bc1bf7b51,
0xf10c90ec08eb37cb, 0xc710dc8bc2e454fd, 0xae6e231db40bd41d, 0x4abd666261b4658b,
0x4f4df38a427b71aa, 0x15db07f309b2aced, 0x8b2621e212752172, 0x331df8b78e724176,
0x7bd6d185c7ab30c1, 0x6c0508c3eb628f4e, 0x3c9091ebe141ef39, 0xc74218f8104a1bd3,
0x82c41768a57cee94, 0xa872e76d1983054c, 0x4061ca7cc66b8a1f, 0x02775e41d1afadbb,
0x9754414efe90675e, 0xdbb16d9430acee66, 0x97698c3898fb3ba1, 0xda5583297383a667,
0x8caf8fcd27993c66, 0xaeb42ce539c12063, 0xb987751743316e92, 0x3ba61194a1b90e0a,
0xd7c771b0594a75c7, 0x311cd3c95965a477, 0xb71fa9c317be67af, 0xbe3fe4cf49cfc4d0,
0xdca3b5968c565d52, 0x2734760dcc663ca6, 0xf850f9f76ce89c6a, 0xda6de7879a382afc,
0x8ea94bd2bfddaecc, 0xe2d109cc3194f01e, 0x13f51666b74a74bb, 0x5abb96cb14de095c,
0x9778177974021c0b, 0xb1b31ed058d51815, 0xb7811e965cfcf017, 0x3ee104e5bc9e392a,
0x4cc01b66eb138fae, 0x33e2569061ba01b2, 0x22671083924e1154, 0xeba6a9b2843a171c,
0x97771401e7c383de, 0x03f119c6d32895ae, 0xd8cf9e1670f45c0f, 0x581bf7c4c827d53a,
0x37929df9916e1d3e, 0x0d1cdbc872c54143, 0x4f5a0b0e957667fb, 0xa1f7ee131bdc9476,
0xa99d5c7f2791c16a, 0x162df6f2ddf44229, 0x7f0a15723ee6b3e5, 0xb89f4d949a4c5a29,
0x97cfee78f67d9d16, 0xbf95d34d502994a9, 0xf9043171bfa8c476, 0xafcbf7291a637b15,
0xa44b9953bfc57766, 0x558889c7c822708d, 0xb1094c1c730da66a, 0xf741eed8519766d1,
0x6c2c899a86b9f01e, 0x5bdb6a47098a63fb, 0x4a2fc524f9d01cb4, 0x391bfb85f7104bb6,
0x0394ca7f694bfbc1, 0x2082d059e0222a21, 0x33096710a5f35f01, 0xbfa1f455b915dfc3,
0x5d2213054b495c2c, 0xab47a5129c2706b9, 0xdcbbd5464ac34c37, 0x27988c6e5da28bef,
0x4a911d95a831b1cc, 0x1dcf408e1d04631d, 0x9ae718519067cf9c, 0x866df4e1f5f2cce7,
0xcea33a3eb7f4d7bf, 0xd38ef1feb64c1c46, 0x4f049175bf92b6b0, 0xce102b429ebfd959,
0xb54b18f5ddc40a16, 0x72fc7511b987e566, 0x59f78f9e674cc0bf, 0x83b7892549cde1bc,
0xaa4816154824aefb, 0x86009e4bad967cfc, 0x48b01b746ec74a62, 0xa62b949a5a9e1881,
0x6774930b2885bd13, 0xfe90c343acc89e3a, 0xcf995e0de019327b, 0xf7d8fca81e039490,
0xd9a8e72d5840b430, 0x85554058b69fd547, 0x521e0ebfa0d5cecf, 0xbfb087bdec1024c0,
0x4e1624b38ad382c5, 0x7295b35c6d54d976, 0x6af2aab549212009, 0xdfbf0c79d082b7e7,
0x150cad644f708045, 0xcee3efcdb73d8cc2, 0x58e41853c844023e, 0xb43e36eac83a359e,
0x7f501ca545415131, 0xac0ec5593f4352cd, 0x1da892e6b2bf03f6, 0xed071367713f1687,
0x03ee02fe7191b0b0, 0xbbeea80f84c0b7f9, 0x15489036a4c7502b, 0xc1b4cfd0a689f4e5,
0x737c82ea8f986886, 0xc6c314dcfa6aa07e, 0x4404477fb3039e5d, 0x83bd77e5d0e6a2d7,
0x35689dcaf811b4fd, 0x2c49607406d0e301, 0xa3cb22ce202e618f, 0xd4fa03c35e15cd3d,
0xbef0315d95556403, 0x78aae6a13ae6c74a, 0xc18f1b0e98a32f5c, 0xc95644d4685abdd0,
0xd173dc63f67333b1, 0x4ddf840e77184811, 0x41766b763dcfc03d, 0xef2d5b5dc6287ac6,
0xce131e09945630fd, 0x45d8b4f64a074ff0, 0x9db9b492858a73e2, 0x8a18661007eed33c,
0x3c13bf69d0129ab0, 0x5aa172168859d905, 0x6f9ae89e7ffd2fa7, 0x68489ac0e049cb5a,
0xa08f58469ac6f6ab, 0x1205233c4fff0b0c, 0x518d8c2f60e72b9b, 0x3bbcc200c202c7be,
0x185d7e1843bf49fe, 0x3f3c410fb8af9350, 0xa8268036cff1d81a, 0xb8474f46cfbc6b8c,
0xdeff0d2828966f89, 0x8b696bcfdbfef8d4, 0x27ca60bdbe31dbce, 0xc98de7283e071089,
0xeda065307f8c59c0, 0x083809b1ca74fb30, 0xa9ec33b810f54806, 0xe42f82f83e602003,
0x2ad61666d7a323f0, 0x16276307cf987737, 0x43605ec58cce8bbc, 0xc9d1b6f2fab5b074,
0x98cfbb789f690a76, 0xed7f9aa0793b8073, 0x838a8eb62319c1ee, 0xdbe1d3c0c7df14c7,
0xcd2d9fb60576d36d, 0xa3219929a3f84c31, 0x9bf273f053e76922, 0xbd6da3f1cc3c00a6,
0x1d9693ef2722001d, 0xf88991358f3e38af, 0xd69ce63a779a7a38, 0xd56e3859c923fe4a,
0xcc908f819f7c94bd, 0x392e225ad433cc70, 0x19a2cc2d5bf7b419, 0x65ae962c83ec4530,
0xd3c62b59d6ce908f, 0xe54a64a39155e773, 0x4992759134b76db5, 0xf47971a612e7d0a3,
0xb31a2bc4dd4f36ee, 0xfc3f147d357cb36c, 0xf59c6e329735cdab, 0x6b948f479535add1,
0x75f8136c448a5b4e, 0x2d24a08c87a5e25d, 0x5db4e1b6da209eb1, 0xf0b61946741d8480,
0x80301c91820dc0da, 0x34ce9d4fce2b3142, 0x0c79eb766e38320b, 0xc84d59f5d9153064,
0xf704522f67df3255, 0xfdb28ed3e5eeb5e4, 0x11e52dd58a9f8b89, 0x5f06352b79f16867,
0xcb3624a0a073b527, 0x0882a16d3019e395, 0x1a045f7a9ab99f83, 0x08bb5ce34028de6b,
0x58c7439f9c12ce5a, 0xfc4a47ac96f98221, 0xb993b660a80bef06, 0xe986f25392855a9a,
0x91e97efaef4ee77e, 0x339e3969d4df25b3, 0x6541b68f14e67aac, 0xaa576612d21c6235,
0x909602d9a39a63c5, 0x3970f6c236df54f6, 0x7ed39295d15c858a, 0x8a36bfa9541078d4,
0xbab433f16cd9ec51, 0xa3ee596446c059c9, 0x6001622b3db480cc, 0xb377fdd5ec92c01a,
0xdb999a15aa758978, 0x66f97bb674f8069f, 0x0b69e28eee2aa7aa, 0x366587b5baa8a836,
0x4f55bfdc9e03fad2, 0xe64aa89f664c6e9a, 0x900094edefc2dc83, 0xa752531dea2e55cb,
0xde90b931990c3faf, 0xf2c88fc61241733c, 0xfbaed1b4f8cae927, 0xa4fc7a08ba1ac7e7,
0x57c4b52b1532605b, 0xdd6d151d93420ace, 0x5094b2ab2ea36af8, 0x1cab5493ffaf08c1,
0xb5f57f5a322f3bec, 0xfb00121c0e86e0c9, 0xf398f1ea352e6a23, 0x54145f197c95b418,
0x1805a2c0d74e1c2d, 0xf8fd3a7e58cd8408, 0x5ee83d3381ac2202, 0x946855c0eae16a3c,
0x128d8482e701c84c, 0xd71570e66ede12ce, 0xbc4c8075b5e44e6c, 0x9d1dd08ca1575940,
0xe56fe27c8de09450, 0x2a1da8c15d9d971c, 0x143d415f2aede9d4, 0xe1bac1dae2b9189c,
0x5ad7b29c6f7a4853, 0xb9ba71265253858b, 0x339105d5cc13b190, 0xfc8f69baa4fe2f7f,
0xf871bd72a74a7e26, 0xc59be755aebe6343, 0xb1eb67f9d751c90e, 0xd816671c3c833cd9,
0x69923c6d42b27b34, 0xf2afe5864c582b82, 0x9ea4ab8ca9addb06, 0xca8a33a96308d88e,
0x9aaa39d49ed7927f, 0xd7fdc6e094ebb325, 0xe6e63e16a1014974, 0x6f2932f4da08e002,
0x9a184908852f8495, 0xd087a2c0abba2d1b, 0x898b3675112a9259, 0x68ae771d493ee36d,
0xaa10abaf62acd23c, 0xc253174ef5844ec2, 0xe058f1c95fb5551f, 0xcfa1c4dfe5a1bb4c,
0xfddd03b28ab83808, 0xb42a2842345f5fc2, 0x6bfcaf3d7e2be9c5, 0x6a52542e7cec0502,
0x08bc4bb0f58ac762, 0x108d462884add97b, 0xe0b21aadacc6d5ed, 0x1410c20b566b9c69,
0x61ea45520230396c, 0x748f100c73dc1836, 0xb33bff810e1566b2, 0xabbc97e0b061d86b,
0x61a3fd66f19af4b0, 0x431574cd597ea6b4, 0xc7c526fe183b72fd, 0x872facb8e070d346,
0x29515670c32659ec, 0xd5e319a730ab1253, 0x822a0aa4acd3967f, 0xdc1c6d57500b15b5,
0x430c440a1a8f0da6, 0xaa2ea0228f03334c, 0xd291c3442b39ef2b, 0xb5a590f4a3696316,
0x3c8ee9586b63e23f, 0x6f66c6ee971eac36, 0xc386af2c79dfbe92, 0x052a5eb203f8e979,
0xe08986f8cf8d712c, 0x0e7312c9ce83ef79, 0x4685715de68b9943, 0xcba54fd096d4fdfa,
0xb114c600cddf6ca7, 0xec802fe022ef290e, 0x48cc89b96baf1405, 0x856fe3c273fd1ddc,
0xc3f5a1345ea30221, 0xc79ddcf9ad98b32a, 0x9ef0b2ec67942c37, 0x5db6b9bf62d9ee39,
0x18cf423fc2f183e4, 0xb42c0d925790b338, 0x909344c530b0511e, 0x2c31606eae65b05b,
0x41b5f0d576434d83, 0x9d6d9fe0d8c91244, 0xd4f9b9d65849396b, 0x626a7654941810a6,
0xf5ae2ba734ecd9b0, 0xe2fcc14528bbf66f, 0x36271a15ca6ac7f9, 0xb7caf9f39f1e08b1,
0x7ce5080dcdfacb7d, 0x22d2ae93967675e0, 0x0b6b87f08c53d821, 0x9191eb2d67a3f775,
0x5d81b8c604d5ed21, 0x8bec6abef22af58e, 0x17d9985759a7d1e7, 0x656ab558c584b803,
0xf4cf334888ebed3a, 0x3aa42fc704339810, 0x3f9b1d479e7ea337, 0x8d0dd1ca03868cf9,
0xaf641e168602d056, 0xbf972c5a2d378aad, 0x8c0a1664714ff859, 0x74f370e0a6185f27,
0xc279189ba1d0391e, 0x8b1322fd07cc0709, 0xc6d4bf2fceeae1a5, 0x7f829806215af5a6,
0x83ea1a5ce8fd47fe, 0x4338e0d7f07ccde6, 0xd42255ac454211e0, 0x5320b4fc47b37160,
0x47ebb541b657d84f, 0x37c6b79f9bd885cb, 0x39542d935cf8dce1, 0xed3a4f960f08c63d,
0xd2d10d23beac7d25, 0xff29153fa8e97250, 0x8f989cfde05f90a9, 0x3fdf0313b2ed64a8,
0x48b1f8649cd4dbc6, 0xd98004fdd75ece8f, 0x693da7645b3d7752, 0x746ac6f281fa59b2,
0x84648b7533b1d334, 0x27fe4619f11db66f, 0xaab9849cc1ecd61b, 0xb59264ef426064c9,
0xefa788ebe8c1b7c2, 0x7f4e4aa02d827dce, 0x63e7dafadfb4e68c, 0x6f2fa99cab3b7756,
0x093b73eba6d45fe8, 0x6bdb627f072ccde6, 0x158289e847bf3409, 0xcbeb4eb2144bf165,
0xc096eb59e7176d4d, 0xa452efad7c48b107, 0x470c35fabc02da28, 0x711fe80571ff0583,
0x9d4fbf024490f208, 0xcfe0def981b77204, 0xbc46b43161a37c75, 0x6f4955a97c62b4ba,
0x67f99ef9e9c66453, 0x068663152bf57dbf, 0x59d2852af5ce7dda, 0x15ba63b14729a5f3,
0x16f025fd5088ef73, 0x0f5d55c4126f2ee7, 0x2be56f25e364a8bd, 0x1ea53ece05bbef1c,
0xcdbc8de2f35744fc, 0x7972ddc5943c0bed, 0xfebd6793ccb1615f, 0x9f855182a99651d4,
0x37a3b078098483af, 0x670195f11bc92f6f, 0xc864d91c2ea75977, 0x909a3490db009aa0,
0xa776b75c697b4f35, 0x3697c858549e1c78, 0x70b8d1f10f4433b7, 0xefe112f7cf636588,
0xe0a0557c1566ac67, 0x4283d26df4eabfb9, 0x2c1ece6be1850f7a, 0x505ff9c375415500,
0x6fb7be86432b5297, 0x1ef404984fd4bf52, 0x7bc081ab7e098c2f, 0x4cf4733b316baf7c,
0xc3e14c983f08d70d, 0x180d5d6a5486ed7a, 0x4bbdb7924111dba4, 0x163552b72c662ca6,
0x56c9fbbcac602d99, 0xab56141d66d078df, 0xc43941b6329faa15, 0x38c0dda0d241fdec,
0xd9e7d8bdbb7a25f2, 0xe1d5c57102c129b5, 0x5abedf6daf898df3, 0xf951766570b8b7e0,
0xeb44617c5aa319a1, 0x7c8b1c48a42ba6a2, 0x3575922d1983744a, 0x90a15e63f8859ce3,
0x0ffc0c9a615f5fbc, 0x4d3d6fc9407943c2, 0x65990f8bd8b03fe8, 0xf4099781f6524543,
0x5c1727b84cf9d98e, 0x40edff69dd1b3036, 0x49d2393afd383ffb, 0x5257f27e809a9d8e,
0xa4676d56c9ab12fc, 0xf72d2b8bb1b84b22, 0x40d432fa00d31869, 0xeaf742c1f653dfbf,
0x382e263397295694, 0x4a97b71b0c3cb02b, 0x3f7f28b621da4c7c, 0x1d5d0b35acc37a74,
0x1008e34ad7b3589e, 0x2a0684134dd320c5, 0x3699d57b560bb633, 0x600e70cb36e573ee,
0x93565693d204b289, 0x81158c61693e677d, 0x7c7df1e72ff3ff51, 0x9a2f32101049b427,
0x3fe9b312d26241aa, 0x14d11bd76bfc0102, 0xa3c6f40d1a6d05ab, 0x9cedd63eb4e1aeba,
0x7ba51527a389f40f, 0x9b56f7492d1928e1, 0xbe98619d8142627d, 0x4a59f61439eb01e7,
0xea0b445908c7a153, 0xd220210c666138df, 0x79d68ea400996442, 0xd0387186cc468759,
0x97203bc1fed798a2, 0x2b71ea290942c128, 0x4002bb079034f2ce, 0x4829b3d8ce0091fd,
0x8ffa064bfff0bb72, 0x80dd54ef9c1cbb92, 0xef934c45b23cd0db, 0xb3065f98fc7aa1a6,
0x79aa883c2c4cf989, 0x0b1f281ee7dc2311, 0xc81d492554c3c0d6, 0x147108c737f00fe5,
0xc2e39e19401e716f, 0x55c5bf20c72e8fe1, 0xe7cb803f6dd8c54a, 0x05b5b9a9aabdd52d,
0xb543eddf0295d1d7, 0x8c483ace1f3d62f4, 0xb8af82ec97f8c6a5, 0xa3ed7ca97bd2d462,
0xa200091a2b3c441b, 0xb7951aa443460f06, 0x0dddc5191280b1e1, 0xeda3a94fab249fb4,
0xa5313c5e4fa3f278, 0x273e7fc64c568053, 0x0293bbf9ca4a208f, 0x8beb212c6580998d,
0x2f38c061131caef5, 0x75ce1942cf6234bb, 0x3ae9ad33b53817fe, 0xb8a0d8f820bbb7c7,
0x1eebe62a083b4177, 0xf5df93554ec4c065, 0xa9670e88e2ed8bf4, 0x52cd4ca465e3a1d9,
0x65f3ad88fb62e131, 0xf6aa413892942cf1, 0xf3f87ef79d466e9e, 0x5d1a2f2130270cbe,
0x26758076578e7bbe, 0x8e07824fbbbd19ee, 0x0ea72eb7f22e1f28, 0x719e48f5a5052dd0,
0x534c78cf20c015e2, 0x0bec9d43b33042a9, 0x1bb9f25fd3e67866, 0x129806756b068737,
0xad843a6b86a7dde0, 0xea5a72059adf7c00, 0x12834ec13423cb05, 0x7bd07bb6266b69bb,
0x814e1962f6fbae04, 0x93f6fd8ceb51d8c7, 0x92309d88be07b2be, 0xb277d7f8d8768e36,
0xf9ed8ab32ee6aa8c, 0xabff1260dec23d7e, 0xd751a13757709f17, 0x4d0b15868092e21c,
0x6a8b8e130c099ec7, 0x5154c2ac8035dda8, 0x2e9ce6ca625fd4c8, 0x20f9c14f2b5341d3,
0xdfd00390e363fc31, 0xa3bff3f27fcaa882, 0x8afa12e46cea34eb, 0x6d17162cd88fa97d,
0x46dd1382ec452d84, 0xdd1108b44f660d23, 0x1781a147c7f95f15, 0x81d78c46edc0068c,
0x2d2e4081f36be050, 0x5b9100ba921f30e7, 0x78eb71f06364c184, 0xcc4030d6bc56e93d,
0x0d98def85ffc5265, 0x252ae6111d7d718b, 0x34805a3fc6ea2aba, 0xaa40cbb314dbd620,
0x5015e2cdb9cc8b6d, 0x67ce2287b14ba54d, 0xf9c01a091808107a, 0x4cd8841e1a9cf36f,
0x9f32d7f32e26b8c4, 0xaddbb5b199cd439b, 0x784e97d804a700de, 0x45e5730f8eae3b46,
0xd599a15bf5e00c64, 0x6209588210388596, 0x3e4456701ceb2ce8, 0xe41a1ee48e045b32,
0xc4760085b5c767a9, 0xbace70a4f7c79c8f, 0x229bcd695ce7d27f, 0x366e974495ff877c,
0xa739b99f1998d192, 0x92cba1444fd1c02f, 0x76bf4afdfbd17d25, 0x9bd27487d02def3e,
0x0363ee035986a7f8, 0x50e60d1a77074e10, 0x96f974bdc3501c74, 0xa98ea128e1febf5d,
0xf9b4a7fcc1ecd7a7, 0xb92e054908486aec, 0x588fefd4bc828f1b, 0xcdb443cc321a5f72,
0xc2f81ce712497f02, 0x2d4bcdca207c96e1, 0x3a0c089cda89e09d, 0x1e236d130a953f4f,
0xffcba29786d519d8, 0x54d354fe19326abf, 0x7f9ab7cc916018dc, 0xc1679b60b4ccc58a,
0x82256a4a9155f8fd, 0x8de35c7c3c5e5d4a, 0xe04c46ce141bf8c6, 0xce735fad2ddfeb2f,
0x08a29884a7e57c83, 0xead838a967b57a86, 0xe920a402a9d07cd5, 0x14fe988497d280ff,
0x232c06de2bd97b99, 0x5f3da36554ad309b, 0xba6e4d6b0ab1a6ad, 0xaaf6ae4e71cddc26,
0x1efa1def28c60d60, 0x5cace05e0d74175c, 0x1ff7cf004a23d3a3, 0x8b0e6346e885cf86,
0x73c3841830b9d951, 0xa621ed616e0452e6, 0x96cfc73b8e22787f, 0xdb95bbb26003785c,
0x35d183a832119df1, 0xa5bbfc582ed91496, 0x6a307b7b4644e1f2, 0x0b155a0a00ef83f1,
0x6d6b1df25ab36ed2, 0xba7bcac2bab4059f, 0x9cc1756f9a61959e, 0x526f3e0567a55bdf,
0xc628890258f3d625, 0x6cdcaec39e4ad5f9, 0x9f8747028056f003, 0x6d203230f0679e7e,
0x276d80416e38bcba, 0x5fe0c0d21c67fcff, 0x3f1454a1afe20d7c, 0x6a89922a9bf58194,
0x988fdd0c791d7d4e, 0x21542dc0e89dffc0, 0x95640e0804d9bd42, 0xd293313d73c36243,
0xd1eb5d623816a2fb, 0x49fd83aede3c4bec, 0xd85efdd79590e04d, 0xfdfab13d5eac8650,
0x094993dc42f2a545, 0x1e747349426bb19f, 0x334e033d6f60df7f, 0x9f8e4e3057f1247f,
0x8f1d9fbd47768a9b, 0x3f1b7c050812a0e6, 0xfbd4503879404304, 0x28bdc7902af38c8d,
0x915d4d73e319d378, 0x4828c458ff2a04e6, 0x0a0e207e2f6c88ef, 0x988bfcc1fadae1fb,
0x257c02bf75a1cb95, 0x0581739bdf9c2ca5, 0xec82a097c043f402, 0xd6646c69a85212e1,
0x9b79f56a7454b5b9, 0x8edbe557036ec6a5, 0xb999eb216eb41e15, 0x8b1abecb0bc4d2cb,
0x46ab884895a3d549, 0x41e6b6ba02bae974, 0x173d6cf00f75c47a, 0x1ae3eeb76f868894,
0xe72c574d18f2fa98, 0x161264b981ffc1b4, 0xae13b2a780181e14, 0x4a756d841e8b150e,
0xc7306e678aa3237d, 0xb14601b94eb8b4aa, 0x5d0cac7cfe624945, 0xabbd0b0e4a8df71d,
0x8a02109cc686e463, 0x7bed4cb0a554a2f2, 0x15ed7cfee9dd866a, 0xd39084344ff4efa8,
0xcdab05ad641079e1, 0xa9e77164eb9874c2, 0xfc98cfbfb0f63e37, 0x9f3024825425b7cb,
0xb393dd09e408fa74, 0xbfda28911e6ba757, 0x6cb292dc8ab30c74, 0x800cf9ccd2d1c3e6,
0x19eb46b92686841a, 0x581a84678f2f0d70, 0x9869e4ffd3ab475f, 0xa325cf03a8359e62,
0x0be5731491c6916d, 0xb2487e94fe1eae17, 0x13ae351ada4e10a7, 0x7e8574d323398582,
0xeb2b0cddbe40162d, 0xf49d69374776f02e, 0x251c3da8988a7760, 0xd1de0ba881a00927,
0x2526f1e0c75f2c1a, 0xb2425247bfd31eda, 0x1ae3f56acc0c962f, 0xc0089e83486deb4b,
0x695089752ea874f9, 0xdc5ffe2766a018c5, 0x884332e9c9cffad7, 0xa16b9f2b6827be83,
0x591a5f38d3ca8a7d, 0xf56691b745435e67, 0xa9a8b6b7e97c4d14, 0xc4d578bc81ff6005,
0xe46d7321d39f76ab, 0x7e88e34bcb8b5695, 0x80a3578057dac824, 0x17677de38154b11b,
0xd2a301b7ebba64f0, 0x332beb69593b7a1c, 0xa0865c6496e3f53c, 0x552728145e6d3bf1,
0x570f5d76348c1b0b, 0xf846416a4fe11d8f, 0x8f7c1d0330f56a0a, 0xf19cfba6bfa1d5ea,
0xa29eec9e9640ba7b, 0x8c6200b98529728b, 0xfb4c1f66decddaed, 0x263a4c57adf58de7,
0x87555120e2bc958c, 0xfe166d51cb6c4f77, 0x0f62cb402f8829ea, 0xeba42d427bb7e847,
0x3494d9a11cbfdb1f, 0xf0406b3460b12d21, 0x7e9fbf2a36def8a1, 0x29bc090be9420f39,
0x41e98e0417a91996, 0x0bc0d14e0d6097f8, 0x20c7daa66c81f80f, 0xebcbced18f806cca,
0xfb4c1d8d33b0f075, 0x3bae4461c95eb9d7, 0x37e0748642f92d8b, 0xdda9442a59743ba9,
0xa97a06d3e5f19267, 0xed6347f1fb581ad9, 0x0048e7eebc224cb5, 0xfec026e085a7e955,
0x0cf80e32977589d1, 0xcab7287374af694f, 0xa22ae317c2d60243, 0x9eae39215e8735e8,
0xf851968ac74d6986, 0x8cfa77cc1388e514, 0x34a7d3a94edf8cd4, 0x081029dd1605d572,
0xc359d243cdf3328a, 0xb19c733864084207, 0x3c4a1c0555d3a92f, 0xe904abb0419d0f4a,
0x4e9768d735e087f5, 0x731610d8ebbedd11, 0xd235d9064f5a96d8, 0x3f6a55a382e19a8b,
0x086797ebf703b1d5, 0xd0e861affe695688, 0xf6256b2f2ef418b1, 0x94f703276dfae1ea,
0xa4b406eb29ef47e8, 0x6e084cbbff234678, 0x2b2715b11c1516bb, 0x771ec0fb02d9054f,
0x9455da5bd449dd65, 0x6273e035afba263f, 0x4ce959fbbc170d97, 0x51fb6c20f2ddf20a,
0xf6e36e7ff9fb1379, 0xc0d79c0647e31355, 0x6dfdfb649b0e568c, 0x6c12d30e7dfe9ca7,
0x4715bfcee76b9161, 0xc05ac23ea94d7204, 0xe39ba750bf41b7c8, 0x41f829dc2404e528,
0x0db8c1fabe47fe40, 0xb9b66a2bfd3e3a9d, 0xd72a79a6b20e5604, 0xf81936d30dc051b7,
0x3fd94dae0fbcc1d9, 0x9a3464de87d11e54, 0x4243a1dc2d22f602, 0x0c59871503b45ab2,
0x878aeb23e5638317, 0x5ad4d623499ddc68, 0xdb73e8086660a411, 0xa8deeecdd65a0439,
0x8b50bd4678e98720, 0xd396a0edf277aea4, 0xfe9dbb444dc30f71, 0xb120a86bdcbd60f6,
0x7ba5d7608cc6d70b, 0x7f4e541c2d5f1608, 0x5dcd52aeb586bf22, 0x8a01f048b0f1c7ca,
0x5d01dec5f13874b8, 0x33d8f4945b8d12f4, 0x907d0deb271446c8, 0x2958f10ed33c2f86,
0xc252c3f8106f046a, 0x20e61cae73996492, 0x78c6630e2e262816, 0xfbfe65e000aa1b0d,
0x97e9e884bdd47141, 0xf6a8f717dab16ce5, 0xb1dd3f2f52e04539, 0xae40b48e3544b724,
0x2d5884bfed904926, 0xe63dfdc0acb6ffd7, 0xd404c2abc6c91fa3, 0x3868467a529e43a5,
0x13a4bee482497153, 0x6378dad607b5c657, 0x033aa9ed88ef8bd5, 0xa59d62d71dee9ec4,
0xbfdbb309378d5343, 0xaf84483a46289ab0, 0xb05c320187922fc3, 0x22b76e4f7d2b6621,
0x3cbb43bf565ccb88, 0xfbe1301436b65613, 0xa6d93098c591d6a4, 0x260613f99923f95d,
0x43f68aef5b308127, 0x8e3cf233603746d6, 0x0c06820a7fb4e02f, 0xe14144cc2ee0ee51,
0xfc96d00191e4aa6f, 0xf78d9d41f812da43, 0x8ed96d94b2a70090, 0x4b3eb72d0a698ec7,
0x4c3458c9000031c4, 0x4b6bf7a07284d93d, 0xee606586de67803c, 0x4558ba515b6bf076,
0x40238b921b756c0f, 0x08636a403d533a12, 0x5f50eadfe50274a5, 0xf244552c897a3c89,
0x95c3d7a1428204ae, 0xd72614cf3d34fcc7, 0x231aecf96e3c96e4, 0xfdb487fe8de365b1,
0x0fb06be1dfca0632, 0x09219787e18ce5ba, 0xbfee26916ae30bfa, 0xe13554d7faf99f8f,
0x82fd8e4dd45a8531, 0x2d0fdf345aa85d46, 0xcda1342ec4173820, 0x4d9ecf51fc83fe80,
0xc3c4ae9f2827d351, 0x504cd20a0d097754, 0x8fb4e3905eed5435, 0x86565f61010f699c,
0xbfd0c4e53f88575c, 0xaff209f9955b55df, 0xd2ea2b05c672a186, 0xe208c086bc865942,
0xfd991a2a9ecbba5b, 0x87bd5cb9cb50d5d8, 0x988359e2f322c826, 0xf4642b3cdd1d3156,
0xc95709a538afeefa, 0x33aa117ee04b21b3, 0x895a4aa2e1072ad3, 0x7163ca6f2b0661a5,
0xe3562211332502cb, 0xaa7f033a994be37d, 0x1b918388d13492f3, 0xf8984576bba7c0a7,
0xfd815a1327f232b2, 0x8f83d03953292c09, 0x2c3725732ca9aa3c, 0xf4d4e427a8096a28,
0xb7b05a36b1ff9fbb, 0xf2286e083c618f92, 0x1a9a5b30bfb2a2b9, 0x2c40faf1a1226bd0,
0xc87e2c0a8bf71f63, 0x9d5c98a958797b2a, 0xc4a30d5d101aa1ad, 0xf9dea4cc71073ee0,
0xe825841bb890e29e, 0x392500642cbfa549, 0xf0ba0c7604ce38d2, 0x953cb89cb8dfdc11,
0xebcf1d092022e4ad, 0x22e990fd5cfdb481, 0x94113a8b4edf23fd, 0xa5dbefad1a3da796,
0xa43d3a3233c361c8, 0x23998edb7ed62773, 0x362e89c4f4618f67, 0xfc4329fe6a027c06,
0xfc50152466d302fb, 0x7f902f9f9f07b9ae, 0xed6a4cbe42a53a0f, 0x54e00a6e97a2319f,
0xab12abe9d036e730, 0x713286425352350c, 0x359b23ba08c18a8e, 0xc7d0b5e46b4e58d1,
0xa5bf74b56edfbc9c, 0xf9f982fc5aa95860, 0xcc23a39c01e694af, 0x6ff29156c128743e,
0xf33d71d07b375d6e, 0xdb595aa83390c13c, 0xe35da7574f0aa3d2, 0x0291829f94abae0f,
0xd5c0e19cd80bced2, 0xe9ddfc8ce8f595f6, 0x500b94a630688a17, 0xd427108208a9cb09,
0xaba674fc9abb6014, 0x79fba67ca938a2aa, 0x062cefc6f6ed0fd3, 0x5d26f4ee250cbd7d,
0xd2edf3266aa0e9ce, 0xb1d0679e227a552c, 0xb45d8d6b363d0e7f, 0x666ad35982bc0452,
0xe7f427e2f2469769, 0x976987f17ce8f2b9, 0x0f6b01ff8d9da2bd, 0xc6bd42964de88659,
0x27104ee45a7ce2d6, 0x2af7abc8cb24956d, 0xfab2d53731993674, 0x8ba7519b73de9a6f,
0xa76fa8bbb1b92cfe, 0x4d6568fc604df256, 0xd93fe94f7b7748ce, 0xbeccad63b1543c34,
0xd85a64cfd686a511, 0x4bf6994801a6da89, 0x4325374f7ef6656f, 0xd38ff455bf316f22,
0x8613ecb8d6b05c50, 0x73c262cb6a92eb5b, 0x15904daad10af77d, 0x945286b761e54941,
0xa68e03cda62e8b07, 0x6b2b256d6d667396, 0x03e630a2525bbd72, 0x0f55826b38d6885f,
0x8281f02ddb4b4659, 0x21e5a221f0b61cc6, 0x3f48470bd662543a, 0x4e1704f44444fc63,
0x158fddb513f7d2ce, 0x0fa121f41998da98, 0x24738ad3ed5ff91e, 0x7de86659ad0bede7,
0xd06fd4711bc7f9bf, 0xa1d074ad36b4f4c9, 0x107630e6cad92dd6, 0xbcd990cd89b84827,
0x066a0641383552f7, 0xb24c3e0d691f3f3e, 0x4f48aeafbd1342c0, 0x22a32bc19303cedd,
0xce1cbcb4f20c2a98, 0x885ce40b163cb050, 0x6df486865c97e562, 0xe59c4ab5318f231c,
0x1ff82d01f235ef77, 0x446237491d021b76, 0xf4696bc1ee8e052c, 0xa63e045bb3c2a016,
0xa64ca533656880db, 0xd992c692f222ee87, 0x5d294cd30cf4ea20, 0x1af689e0fc98d344,
0xf58cb5d4ee86e5be, 0x29806654d2d42da2, 0xf5cc0c79765f1c10, 0xf19b19f26bd2c242,
0xe23a77dfde0a1377, 0x120d5d238ee2f9fb, 0x4c6bb1b7cc8beefc, 0xf60dc61be225f7bd,
0x98f7b3ee3728182f, 0x2c7dee764021e2d3, 0xcf9b7adb5f746c39, 0xc4eb2a7139f9d90f,
0x30882bfeb38ea335, 0x01f1cf64fc4e2772, 0xd96a0ab184fd53b6, 0x7a2a8bb8badaa8af,
0x9c5e3b15e95f9a1b, 0x2d75bfa54fd95422, 0x4a08ba8cb2b436c2, 0xc628a7496bd18beb,
0x8b4ebf3bcdafb81f, 0x0b76c770f7b691a8, 0x2cfc3d92c6695345, 0x85ef308bc9f89e33,
0x07e4ceda8d40d737, 0x5f76242d10cd3f3f, 0xf6ed74931e7cc998, 0xa39aa5ac3a25f686,
0x1f0cf42decf20732, 0xd88f8e3de4414814, 0x3227b21f254676f3, 0xd8796c528b4c5681,
0x77db4714593ae219, 0x950fd9af6e11507f, 0x5531a4ed6de8e1be, 0xfd557a831ecfdac3,
0xc966fc4867138a39, 0xd470240d6af46951, 0x15eed74ffd98e899, 0x5fa0557c884720b3,
0x92e7756e5c143f44, 0x629f09470db890ab, 0x2b4be37fff93b482, 0x03fec57b8de254dc,
0x26a83dd0595452fa, 0x89c9326c2fe44590, 0xbe9af785b02cca55, 0xd47bc668dd69bb5a,
0x4c0ec09638a54c40, 0x4211a6a43d70d0b6, 0x140f766e4567a0bd, 0xb559c0ea5ef87b99,
0xcbe638e4a765fa00, 0x6fa4df7133f21b8c, 0xc4e974f050acc440, 0x53e8a9bcfd868513,
0x590b8dfc2bfc6b13, 0x4414f990baf099aa, 0x404985c77d3ca692, 0xbdf3c1203a3510e7,
0xef699f62dae5de45, 0xfad0ed792dc6a5cd, 0x50ccddf6401fe12c, 0xe0b7c8c8cd526df8,
0x757703ca8caeecef, 0x05a6a61e51cddc85, 0x3093ee2174053b93, 0xe6ff6a6555f43433,
0x70b242f83bce0a5e, 0xd429e4a699bb6b42, 0xa4ece1f507bd6181, 0xd9efe01cf453f046,
0xf96fdd1068c01bd5, 0x9d003f6a34e338bf, 0x0ea8a5ce57b1ed4b, 0x7a38f8a1dc7b2218,
0xbbee019a48049eee, 0x7c6f4aa6720aa908, 0xa23e8849060f939d, 0xbccbeb38c3de88d6,
0x696e58cb348f2fbf, 0x18fe8a848ae5a532, 0xa4f1f72bd77f0d86, 0x1b4ed6b08f877cb5,
0xefb8fad3f04aa24f, 0xe6c23841ec01bc8e, 0x0358d076d2ed0520, 0xa7cfc0940d94f7de,
0x56a27ec0484bffb9, 0x13d622b73d0d70e2, 0x40707216cd97e8e1, 0xf5ef41f52eac5605,
0x1504eb2ec7976f2a, 0x7498a370267dc0cf, 0x981ec4753123c28a, 0x4a36a5eaeefec56e,
0x668e5392f4e28d70, 0x1ac7002e137e3908, 0xd014e80473387bd2, 0xf429b32fff7c197c,
0xd06d479c8870d8c3, 0x5c87c08cba3eb14a, 0xe199092c4bc604eb, 0x9e0a7c9338e25f2d,
0x9ee1429d4d92c145, 0x84137eaacafa7a14, 0x9c12ea935af6a60c, 0xf02a35a6dcab69c2,
0x389836696d8b44a2, 0xc8a88ae6887dd62a, 0xbf00e738b934b5f9, 0xbca43c2b3a76c608,
0x68ce9201508e385e, 0x101031fd5f3c20d6, 0xdbea723f81939d2d, 0xb8c792fbac8d8028,
0xbd991a9ad71d6fe7, 0xc3180da6243a78db, 0x7bf38b35afab17fd, 0xcd869686c12b9ede,
0x126a720f79f4081a, 0x9fab19cf026b01ef, 0xbd1cfa4c0a5d896b, 0x9cf88e019bf30173,
0x1f692d4445a89665, 0xac1585683f863c92, 0x99c074609c8c051a, 0x950ea6bc65e6e416,
0x90635bd043d57beb, 0x9d13fd7b3c63ffe2, 0xd4a555939b00d03e, 0xb4c0c567ea072cc5,
0xfaa3c632849b7fe0, 0xdf9da469c7bc8321, 0x94b29edf7e1e296e, 0xaa50a1ed34592b13,
0x78894331ca9e2f86, 0xe6771a420cd188d9, 0x44acddebc0855dab, 0xc7989b3473730065,
0x72af8cef7600b8d6, 0xc6670e23cac76768, 0x6afbbc70a9ba9d2c, 0xf2c29ab4eca28ce2,
0xfc7843facf509dd4, 0x92bd2b64dd601ccd, 0x88954c3207b70848, 0x2caf5438614466b0,
0x8ce14cb8d94af7d8, 0xfafb9bdd3004a1d3, 0x742ed44e1c099b40, 0xbcb28f0462a98b24,
0xece851f92cfb28c9, 0x6af702197eae7ea7, 0xf05284a7881358f2, 0x5ffaa1ec67ff59a3,
0x4622284f6607c08a, 0xdf0c10735c3077d2, 0x47f26dd39bc52266, 0xce5eea3a84308012,
0x203638fff30b3f45, 0xab67ef64112fff6e, 0x07e71ec03ba44faa, 0x38200d6f68be6b26,
0xf78de414d2aa86b8, 0x5638894ccb5e2e67, 0xf14bb932e3a3c894, 0x6732a756e70fb2b3,
0x649e67ea44b1e6b2, 0x42e471ba60bacf31, 0xc00086e02e18f194, 0xa0d6fa5a66d508d1,
0x950879943e839b27, 0x3a2e94a44603963c, 0xecdb5067d6ac6b83, 0x1ebf2cedc26e361e,
0xd8f04b89355ccaf6, 0x72058ba72aed16c3, 0x8ca5377c0603aa5d, 0xf5b356ff277b9499,
0xccf24d0c9cfa7bcc, 0x636c422258a1e9e6, 0xee1cbbb7a3bc5d03, 0x97b79828aecee94b,
0xc83f35f9d5aab418, 0xfafe35b83d90a1b3, 0xe9293244b9b203e9, 0x3863f148df6f9d77,
0x8640c9537b787c2e, 0xc5c272812cbf57a8, 0x4592c0deaa544589, 0x65d7761d2f5a95a0,
0xf506032b1d974808, 0x8ece539ecfa8d692, 0x825a0ec78698714c, 0xfe34e841355fe0a1,
0xe1a4bc08b5aeedea, 0x61fb11a986cfa642, 0xc78df063156ed08b, 0xe4316c61c0f7419b,
0x94fde2539985ae18, 0x2527f9ac04dc49e8, 0x4a0fffd55dee63ef, 0x1c445ee2054c438c,
0x678f93b86a322876, 0x6393970a4bd462fe, 0x7b1f376aca979630, 0xd551dd61120bcc11,
0xfb3caa8be7478902, 0xc9d138416c25bfbb, 0xbf1ce96c11bfb19b, 0x86766dfa170be6e0,
0x29d158c4c9a725cd, 0x07ce8d2a727b0eae, 0x838b9537931e4adf, 0xf525290bcb3229b5,
0x0007a289ca61fb35, 0x3b7962ef6a162ba3, 0xbf92ae436d55ba93, 0x478e257a24b8acf6,
0x3c732d31cacfa014, 0x9be9e85b32ea867d, 0xf2290937a2d61bfb, 0xfa524df6bbdaf3b6,
0xaa8e0ae5e5893c11, 0x854c633ee3d6bf73, 0x5c04b295f48de69b, 0x81ac467bdb768c02,
0xed7e41e3f797606d, 0x4667475d8757f000, 0x4afc108d8af07dc4, 0x8daaee376fc40828,
0x08c16bd16019293f, 0x95f1aa2a28bcf37a, 0xd3ee6c72241957e7, 0x3d12752087db1dab,
0x0b89a07e89a30481, 0xfea5b9d9f777e733, 0x2c07d14b23cfbf83, 0x284349d2d50c3a08,
0xa88767d969846393, 0xd8cd369f05a5ae05, 0x8684e79c0f7c6a93, 0x1f88ebb4b6ee9179,
0x03c255310876fe85, 0xd442c6e9cd60f0d6, 0x0706b467d9c07d6e, 0x010a4442889adf88,
0x0fe8ecb5110ce157, 0xd5c8b62e629a1fe1, 0xad70e97ed383c59e, 0x1f4e1c670897af9f,
0xbf178e34f9e8ac70, 0x78382ae4abdd1341, 0x83ec86d1afeacf06, 0xe4a7cba03e902ba6,
0x0c3484b9d9258174, 0x6a8d286e9050101d, 0x83b86c81ddfec840, 0x72387f3e3277f91c,
0xbadd75730d723afc, 0x37d101ef2e81caa5, 0x8b10c02e33098950, 0xe6ac9e54e6c5fccc,
0xb4cff2e97d24e1d6, 0x5e736e0763ef3ac9, 0xc8c6301c5b92f843, 0xda82f0ee968c0d02,
0x9fded2098580ef6b, 0xdf8bb1924b849f81, 0x0488bdb1dd6ca3da, 0x6b200fcd1ce32bef,
0x374ac3b50212b03a, 0xc12de6e38364499d, 0xc16619cbd1088cbb, 0xb0cb13fd873bc392,
0xe8df456d650dfbc1, 0x7bc2041fede00437, 0xa24e6ffe3a5a216e, 0xb338a180f2da6a8f,
0x9265138f5fec9e52, 0xb677672209dee73b, 0xf42b12736469c042, 0xb3a47450ab34af25,
0xf741b25152e1632a, 0x61443720405922bc, 0x24991bdc2605bdc6, 0x0fc7682bb3aad669,
0xf8caba191b7dc26e, 0xee4222b011292f1d, 0x3749a1349619c89f, 0x2261a98aabdac4e2,
0x99c9bc8fd4f60e87, 0x254686c5b7969ad1, 0xda5305be3680a8e8, 0x267e986f6e237ec3,
0x30810c2e9caa2b7a, 0x86c8349a8e7ed5f6, 0xb480e607df2e3f22, 0xefabcbb2a86bef44,
0xef3926083baa3ccf, 0xc42feefdd9041037, 0x6f490977bd008b7d, 0x3cb1d8001d34f061,
0x45f194c0f26f6e4f, 0xd0db70cfb5ce6a8d, 0xde1bdcf7c6349644, 0x643a181d8dc6550b,
0xdfa2d557f50b0c92, 0x28e9b7b500bd7c39, 0x26cf6566595110eb, 0x8b43d54498056cf8,
0x4eb351ec706dbc9d, 0x77f693ac39fd8c98, 0x63cdfd6e3b2fd027, 0xd3a0e1cfd0733280,
0xa688846341b509a6, 0x880ff11ea7e0aadb, 0x140f4b7bfff86b1f, 0x46305047913ba35e,
0x23dfa5fec199f953, 0xd8e86994439fde4d, 0xae0203df0807fa75, 0x68324fc6beabbe28,
0x5def14d5ddf9fcc2, 0x3cbc9bf0c28a66a0, 0x5dd3a2695d4ba855, 0x21e39a77dc28a0ec,
0x0bb1c6aaa0782f3a, 0x3796285be4c80121, 0x7265421b2aa8ba42, 0x2f303bd6672b7aea,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x92ec9fcbc11d186f, 0xa82acf836455f395, 0x141a0d74be00af09, 0xee6dffb61a7255a2,
0x6ea0ffd5c784268c, 0x0d75990fb8f5dd63, 0xeba0e4eec5f89aa0, 0x98d85a17a1e82ea9,
0x5cb6ccb6690ff870, 0xb979cf0ebf20a814, 0xd56f941bc595c46b, 0xd7fd1913a9f3d5c8,
0xa53ecca6aebe8ca8, 0x275a25e61667fad6, 0x2afc1e38a8de4e8a, 0x3227742d4ecb16a5,
0x64e77dd8e7ab72a4, 0xceef1b141bd3fd7b, 0x163f1072ecf92040, 0x28c1ecf47e3a913e,
0xb47f7540df359169, 0xd95dfc929b5ade69, 0x5ce277d1efc82867, 0xa6719a66ff85aa87,
0xf1f976428ce3506f, 0x4e784129ed984779, 0xf7f628a70c3c1ea2, 0x89c7f6a5216d2963,
0x4f7e36d84c0cabc3, 0x800fc714cda7eb1e, 0x5dc5f1cbd59bc028, 0x1895708fbea6d4f8,
0x45b1478f270fd036, 0xc9c5c5ae101609cb, 0xdab6ce72e2a1463b, 0x1d8a53f480eafa70,
0x7698237781ac5ca7, 0xe2d4f1e4a7369ec5, 0xd60d5042966647b3, 0x75d663cfb5bb7edf,
0x3ded53e095b83af9, 0x4793b9caae960871, 0x6bf5a0c201cda80c, 0xcea2dc43cc9c9846,
0x74aa61989bc5b274, 0x349b8c6c044a65a8, 0x7e7f94853888a8b1, 0x275116c0ba0e40ab,
0xa8891a981b8fbe88, 0xb5a39fc41facf310, 0xa0e72226a9fb2d53, 0x09f4796d6901f049,
0xeb700af12f8aaa66, 0x56a53aca18b432b0, 0xa95c6ebf55df3e2e, 0x48b8746ecbbe7501,
0xd50d13cda7bf5210, 0xe3d6de0fac99e865, 0x8f2a710ce66dadb5, 0x59b796da1e66e383,
0x8b4124e02a0824e0, 0x0416a768374d565b, 0x1e4d58242da77e4d, 0x070c21bb7bcc63bb,
0xeed971b575113bcf, 0x17e7c5c733c60757, 0x0141018c2c9dfb2d, 0x78aa32652038bd05,
0x1b42e42f4e1a4ba1, 0xbcd8a43fc0833a19, 0x1721502546e543d3, 0xb04c540b0311ba20,
0xf652c459e39fa1a7, 0x9fae857efe593477, 0x05dac0a4b63bf3b2, 0xf4d63bd9a38f2631,
0xd118e163c04964bc, 0xff8d054d555ac624, 0x3c40c6615783e948, 0xc170ed8c99af1d78,
0xa41bd5577f51a4b3, 0xc9eb4bd6b1406f90, 0x6da11442c29c3481, 0x998e6e2de585d096,
0x01afc0bec354fc46, 0x6bae53fd46c17bcf, 0x45bdad66264e16c4, 0x62b77da2d2056c03,
0x6d3975c05ce31ee4, 0x8d3556c9d022abea, 0xd73101d75c33a66b, 0x721c5c42622eb56f,
0x435d8b24b689109f, 0x9fcf332013c39a14, 0x51157c4f3197732f, 0x897fef32ef84c965,
0x539b4e4d13a263eb, 0xde2d8b519280bba9, 0xdab673b83f34a5a1, 0x39327e231361417b,
0x965e1c0b8cb2890f, 0x95e9780d421eb9f6, 0x5e401c98a0782ee2, 0x7459e3e2685539a6,
0x02782e569eac3034, 0xc585db7f4c65d96b, 0xc94dd0efe89fc473, 0x15c04a3adf3ab997,
0x0ea10c76e442b58c, 0xde284afdfb55ce7b, 0x933c0e4c8c9b6788, 0xa68e16599f73dbaf,
0x373c6fe05cfa8d70, 0x57e018cad4bf2300, 0x02a3fd645f150846, 0xa39be7591f58e298,
0x7412260f04f5bbca, 0x92592a3c645db889, 0xb335fe62e2f13b40, 0x97c04761e5a16e08,
0xb3b1c279fd4f3c1a, 0xe93d2e9d59d493c5, 0x3e6830903f5c2186, 0x8af447cbe5ee83fc,
0xf32a087d959159e9, 0xa5562fb86cb24485, 0x1db9f60d6be4b506, 0xee1e3a7f883c49dc,
0xb86722e6f6972142, 0x1a62ca6e4cd6618d, 0xf2ea685ffd442c2c, 0x1d1c38fe0be2ca64,
0xf21e1e76fce80610, 0xc9e759bfe4eb4214, 0x86bfb2bd4920c5ac, 0x4cde595b9ebfa223,
0xd57ec5b20d8cad09, 0xfa98fb76990d7efa, 0x68f1ac88e8a5ba91, 0x75766195761a8a46,
0x103f26a8f45e16f0, 0xa593141af399ba7c, 0x1739d91122e49f8d, 0xdfca8cc8c352ce8a,
0x4fe7e0a4e4090405, 0x53d6bd169822cef9, 0xd0af15b873685f15, 0x74a33df666ada48b,
0x5406ad022b38f8a8, 0x669cbcd879909cf8, 0x7e41cf5a10efd51d, 0x02dad13eb2fd4d22,
0x269d6571310de2da, 0xeb50151afb34c857, 0xd004a857c68af74c, 0xe5ad25025ed8f8e0,
0xd6ac6b3ecd320eb0, 0xad1f36df0cb37994, 0x39ffd36ebf3f022f, 0xdcdabeb1bf165bdd,
0xb92fb5594333adc5, 0xe5f20b4e862ecc8a, 0x1a133aafc60dca50, 0xb2b8c814ffe03393,
0x57fd275c316525e7, 0xe5811f95d22fa6ca, 0x87f2e97594e2167f, 0x30e3873a4398aeab,
0x1c0dae0ef085596d, 0xcc7f09749b369ddc, 0x2a28d5e93a3fcd69, 0xbbf9780743e9ba89,
0x22790d8d1921e478, 0xd7bdf07c7dd59315, 0xa0c3388ba408b20b, 0x5cea764c67a9cb11,
0x8eea573f2a73463f, 0xce2356cefb445f98, 0x12549ef755537867, 0x534fec11267dd91b,
0xda95b1b7f2bd83fb, 0x66439e3acf812dfd, 0x5abe4c448bf48a55, 0x32dc56f5a3dc1830,
0xfdf1cab3a63772e6, 0x5092921e1944e7c4, 0x29c8cb607bb643f8, 0xa54bbcf28c7f1bd0,
0x2d5e396f95d2bb9c, 0xf77be0690f7b7cf8, 0x9f3a1770b4d9cfab, 0xc411123fb458fed9,
0xd51928fe8adf6828, 0x55fdd0707e1d642f, 0xaa1dcc49ff8d2ae6, 0x076d85c09cb1df2d,
0x74cf1f5572108216, 0x526ca26be7dfce18, 0xdd1d00b37fcf95de, 0x31df0f3094d89ad6,
0xcb72ea21ab886337, 0x459b150481ff39ed, 0xd5b76762e58f9fef, 0xfe75418efbbea107,
0x1f9bceaf6ee2b1c3, 0x18d92c664d183b77, 0x09664c0b4ccfb4bf, 0x1f7e4a8a5d4056aa,
0x8ad1a9db48550927, 0x06e3d3fb8213fcf1, 0xb4e71790cbd80a55, 0x8d6f782fd4cbd51e,
0x8e6419ff2fded883, 0x3fc0f826b22602b1, 0x5db983f83593e459, 0x2108cb2479a38498,
0x1d2b2cf8dc1411b0, 0x7564ee0bfc75499b, 0x613eb7bfa1a12f3a, 0xa939f5cdd60fdae8,
0x7c9eb8472316632a, 0x8b36de01372e6935, 0x4077c04b18c122c3, 0x8e10f578d62b3541,
0xa30589e84e86912c, 0xb2ca8facd2538cc7, 0x0134bbc09474d1b2, 0xa61d5ee38f0c9cbd,
0x62926c33a90f3a63, 0xc15a4daf7a1a3804, 0x322c3540b11102e7, 0x5fa0ce4b03f6b9c0,
0x4c4ddc8e4f6d4192, 0xadba225136fb2d7c, 0xc832d28edf57f24c, 0xe4dd81026eef3ca5,
0x44c02a2b17ce5fe4, 0x1be6ff7d149a7ba2, 0x33e4ccbb6380f035, 0x982772192bbe32ec,
0x9c70dbb9d969ae17, 0x71fdad4d9ca95c64, 0x975118228722e8ad, 0xcb148776982701be,
0x6d5ffc93c6ac6c25, 0x97ec4bfcb3e29fd0, 0x16a6248be081447a, 0xca564efda3921edd,
0x48bb2bc36f19abca, 0xa3d46a50bec6147c, 0xcafc107410d5d8e3, 0x541346c77632efad,
0x8dc5cfee5d66948e, 0x41b69047b76466dd, 0x7b098a7bb5f9a93e, 0xcb365d004bd1c525,
0xe84bd06a7c905de0, 0x58f8d7a88684a88b, 0xe2222ffac1c97f08, 0xfbb64e35e5890f5d,
0xf6f34495ec09c759, 0x048116b2973b0aa7, 0xd71d4e0ecba6f768, 0x3f61898b5a0c9265,
0x2049fd988bb4b241, 0xa2d099685b7a5e62, 0x3ee61b9a9a612f7e, 0x69fafb182d97b67f,
0x755938d08674283f, 0x060182337779a4cc, 0x195276444eea3c28, 0xf20dc31ff0b26b4f,
0xf344902e63a6aeb0, 0x9056e9dc6b3647c3, 0x54fcbb33c8d4d0de, 0xd27935803df96908,
0x30f3aa3c0c56c816, 0xd03b1d75a60c2a8a, 0x70919c8d776202a8, 0x14b7150ed919545e,
0x89f8366cda0c539e, 0x7ae6e603fbcddaad, 0x8e5c4e52848ee528, 0x4eecf115c37852f6,
0x47d9d3821e7f242c, 0x789414c6a146b33b, 0xd68c075c0781d165, 0xc67f7fa36c422541,
0xfc0cef71d532090e, 0x3fb7e794237fe526, 0x90ea4097a1a6a893, 0xab339f2f767785cf,
0xaaeb388a016b272d, 0x90dcdd7e837ca33d, 0xe0deb35a2bea84b6, 0xa5fd4d359dcb662e,
0xc72e99571d05aad6, 0xb5b5cd2bd1b0b999, 0x8cc8d9efd7738ed4, 0x49ae09fbd0b0b269,
0x585c4207dbf8a17b, 0xc207eb08b4ea131a, 0xdc9cd45e0d344412, 0x00885d26e7bd30a3,
0x8ea5e5b8b1deec3c, 0xe7ce5a3fab4e43e1, 0x3f43e98488203221, 0x8d839cd47d36bdfd,
0x21da96b698a50a30, 0x54577d9319889adb, 0x67a52972ac057689, 0xc0579678500165dd,
0x1c7453b1bde822a6, 0x192dd52707b73197, 0xac9941fca7f9d763, 0x9f388f25021a3f46,
0xa4182c9cac58617e, 0x25acbfb2547a5335, 0xf5f26e8970007ebe, 0xff715b7c27aa4976,
0x77507ce623d4bd10, 0x55d5eebb8e2ae649, 0xcfcbe39cf5dc68af, 0x02be69f08db85585,
0x658d1851af915e55, 0x7540670fa4fd5ad7, 0xae92b8557e0bba6f, 0x8f76f151d5554f57,
0xd1597399bc8c6f2a, 0x77e921e62009c019, 0x0a42154320e623f9, 0xef381ff06100f57a,
0xb2aa841eabe04396, 0x1c364ff8222cb82a, 0xf579cadff2d1d7ef, 0xb9d95dc9b9533ad7,
0x1359d1b97df7091a, 0x5d539ca02710b668, 0xf20524fd6191f277, 0x704eacb8089633a1,
0x876ac6916f0f44f2, 0x2a7a2e54aa4c4e9d, 0x4f1bd1d7c30ea717, 0xbfd421ead4ee0fc2,
0x3fcda7017b0e4aaa, 0xc4793c28aa4772fe, 0x2ac182fe03697128, 0xc1bf656c3e782e96,
0xb510aa46d5e60ca3, 0x7da6072c8fd709a1, 0x04cc93ee7c8075bd, 0x80a230ef597a1248,
0xbe2fd9d0368f8efd, 0x4ea4fd12e48248a2, 0xcf185e6051ffbde7, 0x7fbb4760c011e11b,
0x89cda2e74d658319, 0x46cadb2395f3c118, 0xfa8bce607b3fe6cb, 0xf38efdd4a06de989,
0x3e6b03ea65788008, 0xe5e0a638c9223597, 0x766101c0aca788ba, 0x121b1292b5f2ae25,
0x2da51a7121f39bd4, 0x0c8862041c02cb3f, 0xc5913b690bc601fc, 0x421ff23c75f73cdf,
0x635d30a19b4e0bc2, 0xd5b2f5e0fa40c5e3, 0xfebeb65b4993a843, 0xeab8f0aa806257a7,
0xd1c717ff288275ee, 0x9e83434cac015192, 0x2a209212014bc128, 0x68b8df0ea435c919,
0x9c82695c20ec5860, 0x6171ff9a182fe75a, 0xfa6c3b143634b33c, 0x5d1d8ebf2f14f13c,
0x725b93228e5122b8, 0xfc104ad8526c9c87, 0x8b155d4cc31b6d57, 0xf14cc8e48dd58e10,
0xab7c6ee7cd75e281, 0xf1f243c204e7e0bf, 0xa1ef2c756582aaa7, 0x73aff865b985923c,
0x1b92a85b3123dfa8, 0xa608329f529015df, 0x56783c9cff63b3e8, 0xe76c50266c9772aa,
0xab99b637b8718490, 0x1bd892f22477faad, 0x0f4d6a3d4176024b, 0x8fd2bda2c4cae0dc,
0xf660a894e5b4d0bb, 0x55813f1e0574479c, 0xb9934ab037354e94, 0x3d806c28d1d36831,
0x5135c61f431dac8d, 0xf4a836f62d104d83, 0x314a2186b0df4011, 0x2f44edbf0b022417,
0xaa0d8019f8c30794, 0x1b03b10080d0d62b, 0x6643f358e293c3ef, 0xb8b9c12a062c02f3,
0x0deba631bf1064eb, 0x4d43944de57c1a89, 0x07e125a5f535331f, 0xe35ea671428cb65f,
0x05882c6785ea7d90, 0x08b7a0dcdc2a2948, 0x0319d61cccf699ca, 0x9c6037b52bb514c0,
0xcd30f1c9accfbb58, 0xae05af5390dd11d3, 0xaa3eeaf82b2c5458, 0x49f16dc7c5d0abbe,
0x652e8cd21cc68ced, 0xb83f47716f879430, 0x60c5a4e61eb261c2, 0x3d4c8a86c2de6c23,
0xc0da7c2a4f351e9a, 0xd3dee073cbf26b0b, 0x9f1ab8a12cbfa5e5, 0x8aac649848ab6f28,
0x0c4f20529b94ff3f, 0xfc34643143a78d0b, 0xd8fa1d7e776fa6e0, 0x8c9ac5c0d9a68a5d,
0x38d7c6efd9130ba1, 0xd82e2f0d623645e3, 0x2b1a6395072d217a, 0xfed85931a886f05c,
0x99f68c1865d284c7, 0xe3f5a551b9d05f75, 0xdd9a4db563f49c33, 0xa1d1ffd7771aee36,
0x94543a6fdd8964d8, 0x8dfb3fda7d2a9b08, 0xb5198c2c84bc353d, 0x10ac97166f0addc9,
0x92b7ee26160db51d, 0x3aff4c3c5bab1fef, 0x4502edc24e81b215, 0x8446e8c85e5c59f4,
0x5a40102dcc502e87, 0xb5dee15e247bb2be, 0x511920a726801883, 0x737bf5387f53e887,
0xe469cae14d5fdeb0, 0xbfb312d3d36796f5, 0x39a37b317e907b73, 0xe4695d37b7fc15b8,
0xd9c0e6e28f82847b, 0x56759569ad5c76b5, 0xdf50db76c7103bea, 0x7ca3d864e7d0629c,
0x9c7432b05922cc1f, 0x87facc61155e9e7e, 0xe1c780b3a2b1611e, 0x75354ff21102eb82,
0xe8826cd68121aaba, 0x0f185570dd159f4b, 0x27bcd004c062bfe6, 0xa3cec636da398a60,
0xed3a6fd0c41ef229, 0xf06dd740cf3a558b, 0xcfa201da0c69ef52, 0xfefc4df2b1df90a7,
0xe11d719f20f712dc, 0x60e25990c816fff6, 0x96201a1b4d3c2eb7, 0xa26561fe88992962,
0x9ccc6c20406aa033, 0x14388855b3dbfe81, 0x1e431a663af246b3, 0x0e8f343d2361d697,
0x86b51e283edd031d, 0x264a4bb511a930af, 0xa55271c6d250b0fd, 0x6be8567d8b5d1093,
0x63caca8edf0176be, 0xacb0726844e9737e, 0xa8ecb17314a8b05d, 0xb90bde858ad97dba,
0xe48836c661904bdc, 0x3521752117de9a02, 0x51aa92e8df7f3de6, 0x9ebb2c5f7b59bde9,
0x050c10c1746eb858, 0xbca6ff69ae16b238, 0x0053e5af09df1c70, 0xaa22625301c11b9a,
0x6cc52ac87abe13c6, 0x27d0a7aecda5960e, 0x2de6d322ed4b172b, 0xbda4ae4b38294c3c,
0xcade95e521dfe3ab, 0x525e5e6b58960821, 0xe2721e5e8a72384f, 0xa4debc1c2b07f4b9,
0xbadf32318c218204, 0xc915b83030bee951, 0x08172c75e8fcd723, 0xc3fd77aaa834c8d7,
0x4a3759686ddd1a8d, 0xd17459393ef8dfd0, 0x9eb6112e0f059ca5, 0x419a3cb9895b4a54,
0x92d8a23fa002b93c, 0x955152b75d5b3c9c, 0x46d401e281822e3e, 0xe24f9af9be8958a3,
0xb06ad44678cbe9cb, 0x462cd7801b72bc90, 0xa35771b132de9d27, 0xe79b219cdf17a7ec,
0x76273ddbf88735ca, 0x5eecfe2534b22306, 0x9a8de88bcd5cea00, 0x73bec6267c32a070,
0xb3c2c4d9065139f0, 0xa750a684f0a56256, 0x72f67491e704e87d, 0xcb39c7e03b69c15f,
0x17e9cb56b64c3bcc, 0xbd8f03ce615f2449, 0x38e140dec06cb9b7, 0x02399eff003f7819,
0xc0df1523bd1e8e6f, 0xbb00fa8d0dfd8588, 0x26cf82b535dbce55, 0x18d0c4f5c67b8f4a,
0x82359c461f029e98, 0xa1dea83c053d14e8, 0xb5ed1fba2d9cf977, 0x4997be9dbee46755,
0xb43be5ce4c38b9fa, 0x8fce7c432394a26a, 0xecd884797fe7a6e2, 0xc61d7381330792d9,
0x2727d047c973fca6, 0x8c5c17812d17a647, 0xe56b033af58e9694, 0x0332b2b87819276a,
0xaf149a42177aa270, 0x3de9d0262b38c57a, 0x16b155abef9aaf09, 0x3fe9e602320c2ef1,
0xcb0577a400cbd8b6, 0x4d123296442db11d, 0x67e679ac4964b001, 0x5f34c6b9a45ddf3a,
0xc7d3539bd1556a08, 0x8d8110ba11f06d29, 0xd5f068401fc707e3, 0xc3e099bfb9a0eab2,
0x9972eed53c5a5d1a, 0xd7d4ba223c690a6c, 0x3bd4eaa7c2d60fe3, 0xe166de1d29fa0a89,
0xf3f200474c5a200b, 0x5963879349e6e255, 0xded17cc891ba2e02, 0x7b04c79adf28f12a,
0x02f08733e7d80886, 0xd3d235270b116651, 0x3cb8f8e7eb874fe3, 0xdf0b2f95594774ee,
0x407eecb1592d22f0, 0x2e192f9cda124d3b, 0xc8ba5cb4301ec7ad, 0xeda9ae1ad2421e45,
0xf7c9c727e2b59387, 0xc3d167ea4e3ce845, 0x20d68094801c5a74, 0x7105578c3ddf8b6c,
0xc429adef0d65ca05, 0x0f002b2f985666b0, 0xe484e5c9d1dfda15, 0x7163ad03ce85ad75,
0x1f9e81f22bd40684, 0x3d65468d3413c842, 0xbe06a5306f6d59f9, 0x0331ed2fee31b8b0,
0x19d0e317b3ddde2b, 0x72544e3179c6a83c, 0x41e80093823ad543, 0x7aea07fac613754b,
0xa1d728cc54b6df25, 0x7621cee012881b22, 0x14f496a5e17becb8, 0x351c66ae87b016ee,
0xded046c47c8ee6df, 0xd50567b119abe949, 0x462e2cf8e7479554, 0xcd6e1c527774607a,
0x59dbac841e619dca, 0x4e2962cdb4db9fed, 0xb1a37c05a7e1ebc6, 0xee495dd50edb59e1,
0xd0ece16bf34e2f1b, 0xd517ee8f04fb5b38, 0x6fee015023819778, 0x82faf6d788da640f,
0xb1b591f8b3e6c737, 0x555b707ecebf723d, 0x12a4672f581364c0, 0xff004c74f7f295dc,
0x314c59afe93acb66, 0x1a1efd9740ce3a52, 0x5d66b29cff054ad0, 0xccfca59f6cbdcb12,
0xa5c8d13f3f1d4f64, 0xc2fbeadb04273ba4, 0xa1107c88ac9e9fde, 0xd77ba13b26b4c8f3,
0xfaafa93fb0c24e35, 0xe669513ac456734f, 0xd1291dcb26f5d23d, 0x0f56bf5d37360e81,
0xd075d264935c616e, 0x5a92c7406fe30ed1, 0xb546ba759462d507, 0xb0c2c3657fe199b5,
0xb1d41571cb848ef7, 0x7109f513d4cd1ba5, 0xcf919bcd631c931c, 0x898c1d33c5b48074,
0x5555f330665a1f33, 0x338486167706e878, 0xb74e42e669f42643, 0x0534facdcb57ea06,
0xaa2ee0cee0138851, 0x1f8c4834b49cf609, 0x7798c2c5c97dc4c0, 0x6436c47274c7e933,
0x9bd9e3592c7b71e6, 0x3b18dbfc9bf7ac9b, 0xe13b00e5e1aef412, 0x3a15b29fdceb1223,
0x5fce4b1680639448, 0xe2a0bd9cee8b35b8, 0x4363f5db29cd0f31, 0x90f8369f218e4cb1,
0x7005a41f049602ee, 0x902a098ca50aa1b9, 0x8d1c81aa0a3ebc85, 0x252c5bb4db3a88ed,
0x55317f3af06880cf, 0x5fda76c8c7de0726, 0x2b5ddd4a314489de, 0x6e2aea480a18d19c,
0xa8444229097ec8ec, 0x29e6a246d1f12a1d, 0xbedb4f3d5ec883ff, 0x1b07a387f2763778,
0x78a5b122c3a61937, 0x98abd6ab57cf893d, 0xc47f8271c0ac60fa, 0xb46155629c766488,
0x2cd2d28f0d51559a, 0x7e442b9daa1b8889, 0x68ff812fdf8277c0, 0xe9e5199d3e6ecfab,
0x2697c46ad8796ef5, 0x9282b0f5983e0916, 0x4795caec398cba09, 0x43f20bfb79381939,
0x5c6f0a151e2f2afd, 0x8453e722d403247f, 0x6142ef16af08567f, 0x8883338f95067375,
0xa485c3c95837829d, 0xdd71542df12c5b0e, 0x5e1503aa1d94dc5e, 0xab89cde3b700a472,
0x80a1b2666bc83a8b, 0x8bc14a056e7ff925, 0x913cb47293aaf8ca, 0xa6e0bdad1c3fd2f1,
0x6fd52b141a249618, 0xee1b3815618dd3fa, 0x27f1999d828b4c3f, 0x20a71df6000d7fb4,
0xf573b48a2ae60ee1, 0xd86c9f410b7d86fe, 0xa2aec6523eb474fb, 0x1c7ce55ef55bf45e,
0x81d42d56b2c6c4d9, 0x5ebc5a090d5935eb, 0x4c67729f311b1b2a, 0xdf47c5af78d0cd3e,
0xe0296ad6afa54f9c, 0x3a90c5189ac4188c, 0xbc3a16f21ce76183, 0x744d4f70497f15a2,
0x7b54dbc3ad1248a6, 0xfdb2baa345c63b8d, 0xfa66a06424f94de9, 0xda13480398fe97e4,
0xed1ad5262c7133a8, 0x44a71c0c162235a3, 0xb62c7b01f908010e, 0x2fc8cf1fd19b00fd,
0x3e905fb36b90c768, 0x5bf098e651f998e5, 0x01f537909059fced, 0x04aaae08626fd701,
0x58763a277d4a7f5a, 0x9c1026a505db0599, 0x89830d1917f16886, 0x29674702a3b9cfe2,
0xc6235b01d18d3814, 0x507384791bd9be65, 0x6a7d2d1bc475fd72, 0x2db3709e6d642e5a,
0x83161c4f921778bf, 0xd78961d296658a57, 0xeabd3f456c870e15, 0x54cda079d87c5bd3,
0xcaf5de89b56f4c9e, 0x3aab89586eaa7c09, 0x97226f283c1f6e91, 0x63dd7512c5e470ef,
0x15119322fb7a9c53, 0xe972e17f01e2710e, 0xcaad4d700c5d137c, 0x5e389a8e844a600f,
0xc8d030172ac318ca, 0x05ce808abc1c499e, 0xc1e7c3bb31350837, 0xd4403f8b3fd3f9dd,
0x8f60b752b14b47aa, 0xe5d0c292306104e4, 0x08848a3e6cc8b600, 0x12ac166d07883ea9,
0xea4e6aa0ae570ade, 0xe7192d752817e167, 0x7a4ea8e544e493ba, 0x7d93a8ae89d186c3,
0x6e3880118c862401, 0xb371faa7aa5ae53c, 0x76aa09eb29fe70ab, 0x9957b772f51334c1,
0xc9951046d185d7ee, 0x705c521932996b85, 0x698d051ebb062d9e, 0xfa5c4473e2e558e5,
0xea09bf6807fdc4f8, 0x38c1274e7d8ed381, 0x1e5d067fbe7a39c7, 0x90aaaa61a104739c,
0x337c5edcd131df51, 0x9a4de380d1da823c, 0xce8b0989787fae45, 0x74bcec3c9c34a864,
0x84c9fb0b13f759e1, 0x08e551e06bfad8a9, 0x20b613bf659f7c37, 0xf881bec7b4ebb44e,
0xfd30ba9f1741d72a, 0x21b7e350a9c25f0b, 0xc8254e1ef6038991, 0x286b669065b670ec,
0xc1b2d9e15abae138, 0x6e2c84100e6c6690, 0x35b06390741bcc17, 0xdfe4fb675f2e4370,
0xf937d490cfee1dcd, 0x595f44d3ca8700f6, 0x467bc4b755a18c87, 0xc6ea5a208cfa5368,
0x33101d8256001628, 0x2cc7d058444a171b, 0x3c55b8f9c6fed656, 0x9bc343425e60b490,
0x7c9ce72065a653ee, 0xbdcc745f06c4479a, 0x1a77a6309b72520e, 0xf195ac44f4ff4444,
0x6162ac2cd7bd6069, 0xf9cfe2e5e60ab149, 0xca63671a85d33dc4, 0x019a4bdd4ca5d0a9,
0x94ef5e3d7ed0fa72, 0x380b527200bd288f, 0xe46cba8c810febf6, 0xbcd3701e4d747262,
0x43bdfdf75683de2c, 0xfd84db74c35351bc, 0x7484952296479867, 0xbbd05e27ac1ae82c,
0x09a5ff63677948ce, 0x1c16bf210742fb78, 0xe819b3023a72147e, 0x603e827dfadcd057,
0x9898f6868dee0a5f, 0x946858357590d28e, 0xd5f8d75ed25ee90f, 0xf50809b67a4438a5,
0x8e45f5f3d9ba2b14, 0x8e10c0087dadfb9c, 0xc93c1110a296ba20, 0x83ad934525e661a1,
0x438e1acd81540cba, 0x025d47dcb0456151, 0x9c64c1f3e0f538b5, 0xd0c8869af0e46de0,
0x315a1192f304622c, 0x0ce81115520cfa8c, 0x609443d12bebe0c8, 0x25e00a01757bc1e0,
0x0ce41c10def57914, 0xda12d9f3a943e197, 0x9286a4f9e679ab77, 0x73c002ca500db876,
0xf3c022d386013251, 0x4e5f8a2171025111, 0xf2d089cbb543eda7, 0x00119cd17a35a1fc,
0xc7e24787b52c485d, 0xeae9f71848f26271, 0xd85e2ea6b0aaf778, 0xf4478a7fc40ee2e2,
0x7f361a5bf1a77d99, 0x03d68d7dc25a1229, 0x4693c7b8a37e01d2, 0xf7d060c9acea088a,
0x2186f4b24dcf7ae5, 0x81df0953bfd640d0, 0x5b5e6430a51dbfd7, 0xc16c98efad26c6e9,
0x6ec0161ff0f1f1e7, 0xff28b9bb34a21746, 0x374526fbafdbedd5, 0xbaaebbc2049deb01,
0x22ce8a71c8acb364, 0x60c8d6391877c40b, 0xada073f73875d7dd, 0x9f31be6311b6772d,
0x38b199763481966c, 0xd2d8cb7d7ddd2d5a, 0x7113f7fcbfd62e50, 0x6d39f2b5d5c8e9d6,
0xb02c00f648435960, 0x6c4fc4346cd44fdc, 0xd1353b8ecaf12d8a, 0x8dc5f4627d35a336,
0xf9d3594ec9935a4e, 0x0b5be26c5c7f7628, 0x7d7d4802d0cd7f41, 0x54932f3506fad863,
0x9d5f931ed998ad7f, 0x6fca2664d0e360eb, 0x86a45fe21b140ca3, 0xdb776acd850c5b2c,
0x483cbb36d882c769, 0x6302391a287b3400, 0xa99aa484e510d2ab, 0xdacc2e1c47f6866e,
0xd22459dad0ba1bef, 0x0d169f97312cd5be, 0x94df81b22af45158, 0xadca34cdfd0236d2,
0x0f23c710c79ad65b, 0x16286aba54b7b365, 0x239c06757741ee24, 0xa8ba66ac0b74a497,
0x549671240ff95a22, 0x4e2e27fe50430ba5, 0x817a17de8b3a6a7b, 0x2ae7c35e791b0064,
0x529f3f64107d4bc5, 0x3e4ec2ae1e97ce0b, 0x37137f4bc94ca307, 0x89f63655fbcf8fde,
0x01cad2072bf83ba8, 0xcca036821c1c46e2, 0x12c061eef3b6127d, 0xa60035530a9b1ee5,
0xad3945ccb49e3be6, 0xd4e57682c09f3f3b, 0x14c43e197e0754e0, 0x2dfaecdd72464169,
0x208571b1bd02ab76, 0x06ee7c8f6c1a97a6, 0x05ac17cd8113f0bb, 0x746329d4bd3a2610,
0x0ab5267b56289508, 0xf5ea63ab960a5499, 0x8845a8185c5531c8, 0x028f71d7d9d4281f,
0xc16fda832de219d1, 0xdb315ff727ad6719, 0xd552c6234026850f, 0x602b175fb3f81f6f,
0x61db21e60f804ccb, 0xa57c5da126cffe4e, 0x273873a94ffbc545, 0x00e6790fc073bd27,
0xb5cfca4472afb2b9, 0x9e5c7f98214dfc3f, 0x084998669d180719, 0x21d10542fc6258c1,
0x5f4e91fa4a2c26cc, 0xb32f156e96812048, 0x494e76347bf04c11, 0x176dcbc7c23aab57,
0xc26d9402c6851fde, 0x193796483062b7c4, 0x90441019ea5a22d2, 0xe557709fbc8a8bfc,
0x7e9844f04b9e9bf5, 0x39aeb8b9551a4283, 0x0bb73351d16f27b3, 0x1c985a894e8d0ddc,
0xbad8488d0397c8dd, 0x5139b1591c5a5d74, 0x22d10159e65adb2e, 0x16474f7a122ebecc,
0xe8f5c65256fc4737, 0x814d402692d42087, 0xe2d20d2e103bc9ea, 0xcb622eed89e9ee45,
0x652db640afa79a42, 0xd2b667ff95d0158b, 0x55f779c0f3ca1236, 0xaaaf33d79db3cd71,
0x6c97048e04b0ce4b, 0xd1fcc941bfb958c6, 0x5323363a4ba7cdf4, 0x2212b2211c21bd43,
0x0b052c222a990b7a, 0x1adf04a5b10d4486, 0x2a8c3e5aa32f3c6d, 0x304320f82613a9d2,
0xb5ea6ce470908c33, 0x0bc14cced49aa821, 0xaf71720fc74b92f8, 0xe9060a2dc020939c,
0xafe122062870afa6, 0xb2791c460e54c17a, 0x7e6c97bd0d8e2d3c, 0x4fa632c83b62498d,
0x87f81c74569347ac, 0x8341229dbd22c9f9, 0x7d86f9d3777175b9, 0x948e272c8e873fea,
0x5087d53f854e599b, 0x9150d8e82b3204f1, 0x6c138b56bcefe0ac, 0x76910455d3769131,
0xec413360d4909877, 0xd6c82ab06e245a04, 0x786b763a8c2df863, 0xbbca5c8dffe8d0f6,
0xeeb2baa4318f4a4c, 0x45ee27584c202dd5, 0xcbf85ab159585587, 0x2f6783bfcfc80177,
0x282e6d3872e9a74c, 0x211ee409086cfed8, 0x91952f6edd702835, 0x94553c43c2de6b1d,
0x9b1406ff08d8a329, 0x13c103c35b469b51, 0xff32db78f16e8166, 0xb38ca3043b1d3dc3,
0x3b46535e21f8b654, 0xf6513ebf1975f057, 0x92289b8ac2a1afa4, 0x203f861a8c40d3cd,
0xfe3ac691e2698303, 0xbcd193fa507b1bda, 0x691da99d0c832cb8, 0x8db9246298377078,
0x843c6e1ac7b7daf4, 0x924adbb91bd0d536, 0x945f2faac316be47, 0xd603341875df2d27,
0x78210f3ec8fd9403, 0x329c3aa1e2914189, 0x730fe9d7d7dcf027, 0xcad54c49682371ca,
0x288e1e60a7637940, 0x7ce8659d18fd0497, 0xb7af43b951f53d74, 0x3eb5742701686376,
0x2af2ae55ae302ead, 0xbe2eb3de4052bf41, 0x8271bc3024fd974c, 0x2fac4c3ada675c30,
0x66c1717075ecd181, 0x6f55e6c692fe9be8, 0xaf28d4bc2cea9734, 0xabcadf5fc11d469a,
0x38aae8e6751d8c86, 0x368bc397df5fa858, 0x4049c232d5fd0bae, 0xce295d9190db99c4,
0x8ea8eddbd9841358, 0xa86fc12202d8dcb6, 0x10d36dca46c45f82, 0x73e4e0f23992a8fa,
0x9f2ce47859376622, 0x7048706310936409, 0xe6c920267343b522, 0x2a391a2758598cfc,
0x153770cf214040c7, 0xae8979bfc4da0a44, 0x70d08a5e52ff2909, 0xeb45ed1d4a55dd76,
0x7b63c2c4febe7060, 0x9d9fae40ba131e80, 0x6160f621c80cfb2f, 0x7b71cadd2bbaf7ed,
0x384fe44e144b1e15, 0xe043ca2720a06220, 0x9f536f5308a1987c, 0x9df59d18a9addddb,
0x3708a2040abaf01c, 0x72206aa39bdb49e1, 0x3a27e63413ef1a13, 0x1fe99a935f3b6421,
0x6b28e6e7fa5727ee, 0x339bd08d03cc6368, 0xe7a100aacaf114b6, 0xae7f8462e3485acc,
0x0a09cb489613a369, 0x9fb9644a44f7f763, 0x2f2a8fc8b07b896e, 0x1e8e1af672303ca4,
0x60ff8c2f4e694866, 0x8c4ae1db88694e20, 0x9bbd10a657291e1d, 0xa0209b2a95a72cc0,
0x528bb712440cfe6c, 0x4a90552b726bc344, 0x9c5e533d6ad1a09e, 0xde9586c979576f8c,
0xc3fb4aa5c3c3a016, 0x35575b710e95be3f, 0xb425184c275d13cb, 0x7e4db6691368f84a,
0x928f975c5c3d7044, 0xed80b078a435f1b3, 0x807c4ef963511e9a, 0x8af76dd46c565dae,
0x9862df40069378cb, 0x56684e87f9ca6b01, 0x6e4438c9dd1fea10, 0x1ef3e6bc58e5088b,
0x163b3efeb210a7aa, 0xf1a23421cf489c3e, 0x1d22df33dba97581, 0xd84099d333f23817,
0x3f7cb2347ca134ab, 0x45105390b272005d, 0xaab5662be8366bee, 0xb90f9476e1b65e32,
0x7a573dfc1ae4d1ee, 0x99c5f918b0af652e, 0x3a42e45fb5bf3ac7, 0xb694812df84d30e0,
0xc2a1dcb79a8488e4, 0x6240741d451e4270, 0xe15273400f3a09f2, 0x951b1322706eb67d,
0xc411b9dc4377f2c8, 0xf103d4274ecd1d43, 0xb8b0898f39552a65, 0xe94ded4ca5e72349,
0x17f0aecfe8922abb, 0x045456787be4b6c2, 0x103780c1c335ecd7, 0x556279f2a1e5abac,
0xcd08ffcf14df5527, 0xfdd84094a180b1f1, 0xea30faf0117413aa, 0xc9f667111e685f95,
0x3773e2598f695ed6, 0xbc0b1d103ed27a97, 0x51b36c5ba862413a, 0x9fbdffec571c4893,
0xebc9c1be46648f91, 0xb6edb7843887c04f, 0xa7ce6f2867701e78, 0xb9a9350617e521fa,
0x812e75ef018f9aa1, 0x7c5a872a99cac922, 0xa5341cca0fc2dda2, 0xe89e815f0a3f006e,
0x39b5ce55b9ae49f0, 0xbb2e9ab2d05b83c1, 0x605ca0ca691f15e3, 0xbfb6aac2cb7b9d63,
0x9f89434addebdab5, 0x6289f97b55fe25b1, 0xd493d7f32171208a, 0x6598c7e3a72ed5f5,
0x3a3dd7e867a0b2a2, 0x31bd932cdf7d3457, 0x899eaf5a85d58a64, 0x46e48de0ea303e45,
0x1e208e260d85db0a, 0xf585c62c4b677b60, 0xdafb7b015f342bd1, 0x143f841aaeeb933e,
0x4e57c98754ddf9d8, 0x32ad9d5a201d84fe, 0xbcfb1d9a852225f8, 0xca8fee9f9c79e9f6,
0x5237e4626a0b7b6f, 0xc808c6b492db16c0, 0xc77cd68995563304, 0xfc9cfdf0e9369edd,
0x23d52a66404cfc29, 0xa7b2b6e4e750050a, 0x9f160ba2423be3d2, 0xdeccfe881a818248,
0x4a944652c326b649, 0x700db299489e2eaa, 0xe6de20736d8b94ef, 0x533959c5640b3045,
0x4a8f2109f488efa5, 0x40530de89f44e647, 0x654f1a0785284c44, 0x16a7eafea7d78f6d,
0x426056c9203b1697, 0x73b12751e84b9c08, 0x03985cba93691d13, 0x71cf3e4e223ac323,
0x5dc87db669a97374, 0xc1c21d0e9d8f3e27, 0xae46691357edbfc5, 0x92dda301351ed190,
0xb96ad9b88f077855, 0x1921e4aee69c0a1d, 0x40177ec46c0c29ac, 0xc9f869cec12fd253,
0xd7412debf2239a8c, 0xdc89fe5550b1ef03, 0xb7d60581d3ee4cfb, 0xfde08fa2813b22f1,
0x79033561a71e3767, 0x05df4be385cbed09, 0xaafd150f3b5b2bbd, 0x4b77e95dd4b0dab1,
0x75dc773ab579436a, 0xd04b9dca0eb8d58a, 0x25725610b0bb9088, 0xbc14eec8ffd61260,
0x3443e8681ef7316e, 0x34976fec0557118a, 0x1180dcbe6b6dbba7, 0xc58b565ab832bea9,
0xf738e5fccbaf95f7, 0xaf3ae87f2c220cb4, 0x50387103900e16f6, 0xe856a2ef4986ef31,
0x89ba2e0032142a28, 0x5957c250698b393f, 0xe71356446e6d6de2, 0x31e4f223acdcf926,
0x941e6af230d58dd5, 0xfd7ebcae1b213259, 0x99f6503312dad593, 0x5f14119683b53b8c,
0x91156161f1855e12, 0xa988c81743b2fffc, 0xbf58fb274ca611f9, 0x22c8676cd473265d,
0xc1703a12d4d04981, 0x3fa0d4fa4dff7a55, 0x197d831e0d22713c, 0x1fddb57be04fdf45,
0x08662dd0a8847b0e, 0x043ad20b76855ce8, 0xd696ac6c2d481f3f, 0x2b9148a25b35361b,
0x6e7cfc9a62ff5c9d, 0x5b71fccf789e0ac0, 0xe8d3ee260fc896d4, 0x80272974f836f14f,
0xeabb5867c35f6ca9, 0xa8255a79f2503033, 0xa28bb1f83fb120e3, 0x5f703c1fa401d781,
0x714b123ac88d456c, 0x05c54c68ff17c5ba, 0xd64a4b3f1e516c5e, 0x2f7f94bc0d42c213,
0x1d58c2b779f487b8, 0x2448d9c8c57a76be, 0x07d163c5eb43acab, 0x309d6f0deccc76b4,
0x96511a683e7fb9c9, 0xa39e4c7b6dfc13c9, 0x4c85db7dc557fb5a, 0x9e266c3e3fb1e1dd,
0x40834a718db08d57, 0xda7cfd7647829733, 0x8bc970a1b750acaa, 0x395559f7847ee4d3,
0x5458d840cef87e64, 0x29409fc0c7df5f2a, 0xd2e0e782013cd37f, 0x4c5f40b8474bdf3d,
0xa7246a6e7a7eb61d, 0xccdbd4b73e6b397f, 0xc5658be7057632b0, 0xfb87dd8214c272cc,
0xf4e9d623ed79e7b1, 0x706be8099bf421ad, 0x5f590cccc073750e, 0x3c1dc743d2b6e723,
0x60e000d0eaccb4dd, 0x8b670ec910de6a0d, 0x1d95acd708fbd139, 0x114643933aeb7f30,
0x5b1a9456c747a1df, 0x6c3d65bfb9eaddca, 0x31433feb1e564c9d, 0x6fd6d6072436dc33,
0xb4c9362581601820, 0xcfdf5d2aa4c2ebd9, 0xb758e105603ab789, 0xc37adb13fdb4418f,
0xda45cba27c8acd4f, 0xd624660fddcf471b, 0xc287708b80a31124, 0x04d64f520682b650,
0x2192ba0917cb504c, 0x202b31d33d95b344, 0x83ee79ad1f91e2a8, 0x075297fd56d43fa0,
0x994ab39804c78963, 0xdaf4e71acf11719f, 0xcb6c57c4a8700dba, 0x82e7a9ab0561cd02,
0x1aded4c52766afd7, 0x8413a899ca576d7a, 0xbb5910f3aa40eb0b, 0xb24a4c7d413652c6,
0x05d25b7444a5ebb3, 0x9a867e74e997b1fa, 0xdb5b9e03b6fe385f, 0x2b95963f5d721b5a,
0xeab9e46670b8e263, 0xf0df63629fb72877, 0x49f619e2d5e8203b, 0x80f9b9b99191334a,
0x067917087ec4dfad, 0x6148be814548f734, 0xd7e76199065faa77, 0x8cd44c33225f4247,
0xb965f2dff8947ad7, 0x638b66f45b99e998, 0xe7348488dfab511a, 0x8f224dad126923c0,
0x706f0f04922d2714, 0x6ae1d7d62bbb2474, 0x9f0e309ee0498579, 0x287e22de2dc452de,
0x3996661c3b6f811e, 0x7c8d902d2602ff24, 0x1950ac372328737e, 0x0ff921152757dc60,
0x7cbfbefbb14f1593, 0x2d557952596605fb, 0x7a9dd18b7fd5c74c, 0xfc823fb54000f963,
0x378b1a68dcda7786, 0xc97ea36ce340a4df, 0x13976db93457a7f5, 0x02dbe618e9c24f93,
0xf91f7ef12a79a72c, 0x215df089d2aab3ed, 0xc94aeca03a65bf12, 0x42fca940d8f47f33,
0x9490ebe3a70ec214, 0x3060b024aa44f987, 0x2e3a58656152fdcb, 0xdac96028bbc5bc0d,
0x50f96c7a77f6393d, 0x8f26a898ad17c39f, 0x6e22ec34015bc3c2, 0x10fe7c3a9da4f0f4,
0x7735d8e93d887c8e, 0x9c72490fa970b813, 0x3f688bf1b009a651, 0x0ca8f32a767fbbb2,
0x8fba22fb50ad2c21, 0x9d03e3216a6fa3b7, 0xda04817036fa7aa3, 0x20ad60c4989893d8,
0x605d08919fb75f54, 0x451f497ac9c15c32, 0x1978bd4cd8479ca2, 0x2f17735ebe2188ec,
0xbae9d66721ad7a90, 0xce700d1f2e2d1c2a, 0xd5898877d9c87f2e, 0x7a00ae55a40508f9,
0xe8b98dfaceff3cd5, 0x7e8b1d6bf0f43d61, 0x2db3db13e904638e, 0x41db614c48b29c99,
0x0b227c64d5b9fba3, 0x964e7285f8dc461c, 0xc92334a5fd53026a, 0x27511338ac6c71d9,
0xbe09415c3a8a6416, 0x0455c6d269f628ec, 0xdea4045907fc8c69, 0x4547aa96fdd62769,
0xb9584047b85ccec9, 0x715b30a35798b7e8, 0x51000d3c93f4bf4c, 0x360d09170121b237,
0x5d11bfede3511c50, 0xa15fbd78d9bdc30b, 0x21d2774be2807eda, 0x6d2919ce4a8e9390,
0xa4cd90c5c538bf47, 0xcbaa4ac0cae2203c, 0x4b2ee15900781c82, 0x0fb11b1173a3cf64,
0xab897dec7c447534, 0x9d092cf18a07c368, 0x6f18ca32934dac59, 0x67026f48949c4f2f,
0xc689d8f293613bb5, 0x5e67a6fbe213991e, 0x92429b90f6996912, 0xea7f13884772eaed,
0x39bd11680d44df75, 0x395640f6ecbf36cf, 0x9071ad13a61446de, 0x80ca035932d58927,
0xb417d18b117ad802, 0xd1f8b12680122c57, 0xcf48c1d4e991bda2, 0xbd1c34b4e4f79789,
0xf47f965c16bfca22, 0x86fbb0330100afb7, 0xe1a632b40f8df09b, 0x93d793260a887f18,
0x997579654484af4c, 0xe5420615d98477bb, 0x2956a9f4a8e41621, 0xa5f7291efad9cf7c,
0xdbce736d7eb64c77, 0x43e246be93393fb6, 0x30016776051ffd83, 0x6973dc4a341d2cdb,
0xce97ebc49b17d710, 0x640f2b195e23eadf, 0x57d1a7e5940ae014, 0x44f4251d738364cf,
0x9a677ec483e624ed, 0x29a5c1139a23be02, 0x3ba2272615dd3108, 0xb7493efd927114d1,
0xf6405a1d83266fef, 0xe37418529ed24265, 0x0e2a242ec600fa03, 0x05aa0bca789d807d,
0xf34dfa098ba1574d, 0x6d731c6c730fe91e, 0x8a910b24494beafc, 0x17acf76602dd8ea5,
0x21aef0da1c452807, 0xe1f3bb1c887029f3, 0xdfc2f737c81b88e8, 0x94371e46e34ed838,
0x9d896791a5d61b9f, 0xb149268a2b7f1241, 0x10ddba716b542d16, 0xc6d066c66df26a7e,
0xd0b6343e36c8e84f, 0xa38f8389b03fc0fc, 0xdc0c1cdf60d6604b, 0x73bc679d7c846659,
0x9dbb7cfcc9591c47, 0x9ba66b408ebd59f5, 0x477dbd61ee8df194, 0x03ebb9460ad59c0f,
0x7e78fc8c934098f5, 0x254bbafc8d6727df, 0xf426ea1ac256c248, 0xcbfc76774c3bdbe7,
0xbe4f97464aed8b05, 0x186086dc18a5b961, 0xfd9ab4f368c31fd0, 0x00365d1f7db96185,
0xb5309d35f2f68e23, 0x38c420731150765d, 0xffa055dbc4eb7c42, 0xb198876cf3d38946,
0x83aa1c989315a1cf, 0x26f1a06a94973086, 0x6451a80c8a46b2a0, 0xc92c2dbe2b5a22f8,
0xe258f4ba3c5b0809, 0xadc38fad1a6c2c92, 0x9c4fa8cbb62b83da, 0x0f96163e0cbe99e8,
0x4028d95fb4b42d89, 0x342b1ab6286171a3, 0x4188adbfe7ac8931, 0xbd9f343c9ec2683e,
0x84e519ba2c1f22ec, 0xa732822ccace90ef, 0x1ecdda3f09d296fb, 0x3237c4ae32e70395,
0x0f096f53c2cd3f4d, 0x96a34a2ce21efd46, 0xd78db462618caa7c, 0x8b3ababd1ee7cd66,
0x4085e2aef38e1af5, 0xf57501e5819e22a3, 0xc21b1e1bc1c6bd0d, 0x177ca29689bb8b53,
0xd97848dfb447eacb, 0x52a7916debed6210, 0x332e2693a49ee362, 0xb03cf0221c7ae54e,
0x49cb81dfb178d2b6, 0x8add6c72622021aa, 0x4feff3e7e7dfb9db, 0x6d0bc767dc840bcd,
0xe8c0c052820a2c6f, 0x0bda6f94608365dd, 0x427f3b1d1c11cc6f, 0x3f62b362c60b0777,
0xd1bfa232852b0b80, 0x264f51d020bb5882, 0x11dc3ba926d1563a, 0x407b4bd5f77e0275,
0xa81f362bba062636, 0x60f5922210987abb, 0xe78cb2f2b0b1de0f, 0x483135fee7e8bd4b,
0x91a25225894cfe9f, 0xe0f434b740329067, 0x06a5cbe1f2405ae8, 0x610e9ff0d0c7ebab,
0x0716a976bea1a48e, 0xa28c12da389f0813, 0x9d5b20ed9e4106ff, 0xdd8e08e716651c8f,
0x794539c542181c5a, 0x07daecca4cc20e7b, 0xa44694b00220be3d, 0x61b24c38fc468649,
0xccfd9305776e8880, 0xc095d50b72217018, 0x04a2becf673ccabb, 0xa40c1dfb6102a4f1,
0x7477bdc152f5a89d, 0x1e56660f2cc4191f, 0x0e073b4725506834, 0x09fc4d6a1ae73446,
0xe8498661703fa9f0, 0x91efb1a5f0ea4902, 0xa1dda0f0236ef0bb, 0xda5dc6cc75c59a91,
0x9697ed68c75a4453, 0x6b3e1f9f365e3823, 0x3570e76da5f1e1c2, 0xd417ae9441e31bd3,
0x7f8c580a2256d7d9, 0x0d479239cdbe2c87, 0x2bef8e771ef43882, 0x7b7523d22c0a740f,
0xebe043c45f687ccd, 0xc635012134fda0dd, 0x141c34c7dbe90318, 0x248389085a8af2fa,
0xb5826bafed0a71e4, 0xb32e644e2dadbeaf, 0xd7075804e2015a4e, 0xddd475680b32ad37,
0xfaa0fec564696df4, 0xbc0bb0a7011009d7, 0x03c4d3aeaeaeddc0, 0xc7bceac25c2f7739,
0xff4c9b0f7affdf42, 0xf40810a8f11f873a, 0xa6c8b67b547bc894, 0xec8fe88bbdb4aa64,
0x77e07ae8dbbf0e90, 0x222f30bf842db487, 0xf9dee217ff274d73, 0xbd792ec7d1cd92dd,
0xf2e6104b97432a68, 0xe57c299dce056260, 0x96f40c86a150e6d0, 0x061e3731cf0a3086,
0xc802ea5b144929cf, 0x13c59a72845d9cf2, 0xae7b6a693f0ae30c, 0xfc2d83b328288d91,
0x8b0e4c6f040cce8b, 0x08b7588582b9322b, 0x348c93cff7849da3, 0x1b6e6dfcd6857c48,
0xc145dd7315effcd9, 0x29fc95209c619a5e, 0x3bf44dec5e195a3c, 0xcb980ecd064dec1b,
0xe80a9c2d52491604, 0xd2f28159e1b5098d, 0x6329e761fe16f39c, 0x69cad58eb4e920be,
0xe0d854122380e2bd, 0x0a64c596fc29683b, 0xcde63737a1b99515, 0x1b65338b3860e90f,
0xf6a6a6c75ae026e3, 0x36445fb703e785e6, 0xa3970982596a5aa4, 0x98112112628b2c64,
0x0abb071decf7e885, 0xc37b841b7493513e, 0x47c93bc89b5eafe2, 0xbb11895985dbd874,
0xb982c458617cc54c, 0xe53748353da6c825, 0x932d71b9a4e8930e, 0xf9381f6ac1f750a7,
0x1e6e882ee3e15530, 0x368f6292b6dce69a, 0xa490a15fd9d89c05, 0xa98cd7a37c317e8d,
0xd5ec1390eae2e2ee, 0x3434479e98c560d2, 0xadae0de05af244c7, 0xb2efd76e1a9306c5,
0x5dda21a7c1a852e3, 0xe7df187daf1c9cd9, 0x765e0c125fd634d7, 0xace47294e9bdf8f8,
0x16f095db8fc43856, 0x6a20d420187468e8, 0x181e3fba8ecc14b4, 0x666fb2f855c6cf43,
0x1f53aac42aad7c11, 0xdbbfb5431eba8c18, 0xe4177151e01a4fcd, 0x9c7d1dd8aa9c0c28,
0x89d5ed0575ca5fe1, 0x5e4d2f97f234a3e0, 0x8b2e7b4697a1731a, 0x4470e94e89b57aa8,
0xe7a0b475662efe5b, 0x40c7e93cce4e7976, 0xbf053864d6249fb6, 0xdf1716b7be57d8b8,
0xe0e5559aa9e8bd20, 0x3923206500fd552f, 0x9e84edfa318d7f22, 0xbf39ed52afbef286,
0x14aab6f642d44a74, 0xb0a62fbfc5892235, 0x1a366165f7688490, 0xd2e08073c7bf45ff,
0xa2d0e4c4c76cb6ba, 0x9f4b26244eeedbd2, 0xaef7d3ea371a5f2a, 0xc332763a928251fb,
0x27ba32e191791c31, 0xd9c4e9fa0ceae1e1, 0x8a20645922d83bae, 0xe5398283813de7fc,
0x4bff98a3422693fe, 0x9c039e9d8a8bf724, 0xe749a5cb250e2e39, 0x0fa6eab35f791333,
0x72a7869640c1e204, 0x7d1ef8afee6dc328, 0xba36a840bf4f1aaa, 0x60b1862617df2f3a,
0x48311dc258f6eb3c, 0xcd9cb32476b4ce2f, 0xb6dd7305fd97ed1f, 0xdd0ffd076511fa58,
0xdecd394ca0ce296a, 0xd860373adc891518, 0x5ab2986bc355d49f, 0xee2649f41ab3ca80,
0x3f541112ffb94f2c, 0x9f2e78aefc4ce245, 0xf400807e090b5c22, 0x3f68634ea47a6666,
0x0c4092fa24184d24, 0xae83816f3e802aa0, 0xfc6c91cc37752a95, 0xf2459acb362c0bf2,
0x1bb3e2abd387d84e, 0x80819a92e4d3e560, 0x3816b01fc0bdab99, 0x2607ff572720702b,
0xf54272b250f3dd35, 0x0ba051fae77a316f, 0xe4a112cf58d2adfd, 0x9c8e263d82687016,
0x2c9e53f5bbb0833b, 0xf3f5b98151fa8144, 0xe659b47342a503f4, 0xf6ab3a4062fc2b98,
0xc6636e72271b9f94, 0x93e5b8032d040c1b, 0x60ff003dcb3e3d53, 0xb6ef2a0fb09b4e79,
0xbcdd177ae7635cf2, 0xecc641394b4b4fbe, 0x3e30ca5f9a396716, 0x8fdf9dbb6fa5eeeb,
0xe3c26acce8829780, 0x067a655315b7479c, 0x9423f280c13c40e8, 0x591b708cc6886a62,
0x8467877981665f70, 0x3dd84fb9b0bf9d3c, 0x0619ba0ffa2fb3cd, 0x3c0279daf68bfd95,
0x66df22b793e24fd5, 0x6aa1fcc8caf415d5, 0xbee73e922bfd1009, 0x8352368d9e053109,
0xb0af8ad0e8b2cf12, 0x43f3d64291b5d1f8, 0xbe934fa98aec9e4d, 0x0e8e8621f735398d,
0x57691d31e0aeeed5, 0x6f9fdfb2c77ad2fc, 0x9ff658c7991127d9, 0x2b8a90193bf378cc,
0x469db0a3b183380f, 0x08afc274aeae39c3, 0x86638543ab7b2090, 0x6d8f4075235936dd,
0xf314b42740a14d61, 0x7176be562c4bdb32, 0x659466e2de0c46c0, 0x37274c53add732cc,
0x491218b323b2322e, 0x05d4dfefb3eb3189, 0xbdc5455c5675564a, 0x2b0670d558e56a7f,
0x005b11ad29d7f580, 0x21a6336d7681cb51, 0x5d299f7ace7e1c44, 0xf376beda0cda1865,
0xefc432133f963a1b, 0xad2e9711b91f2a27, 0x6e494c89c7655ce8, 0xcd440112bb81592a,
0x41415fb1da5c87f3, 0x104bcd3cd4198a7e, 0x008415b4e6c607b9, 0x728e143643cdd79d,
0x3dfabc8980ba1cb8, 0x09b126664710fbb7, 0x9e8d877b93e6562d, 0xcdd85a537bc2f4a4,
0x92cd1512ab36cac5, 0xfb81157b9ed0fa24, 0xdfce2825f63ac7f5, 0x8eb4949d7c5449c4,
0x026807bc80cd2f4f, 0x07b36f639a1b51a5, 0xb42c75313d1f6ead, 0x26511a245bfcea41,
0xb1518a4088630458, 0x3092bf803e823a73, 0xe14047f410cdc10b, 0xd6f6d0e1c197858e,
0x4477d03908e91b94, 0x3c9fa57383bab117, 0xef76f78b339a789c, 0xf3ee93b50538e108,
0x3aadd5426afc3f23, 0x2b414eb936128dad, 0x4e3be797dac570ac, 0xc0282665fa849ce0,
0xa1d8f8bba0cf8ac0, 0x395fd4da82b1374e, 0xb56aeb0a5cb26a75, 0x21642cf1ea575a54,
0x79502e72c1dad50c, 0xe561df05718ecc20, 0x00d8b260bd8e5374, 0x764ddc5609a5ae5d,
0x2fea1382d89a30db, 0xd8f4568b81ef610f, 0x76da90fc745a47e5, 0x342a6e541e9d0417,
0x1a152736b5c5e31a, 0xb350bccf6ed30a47, 0xef9b31897c1cbfa9, 0x62ee149c3721a54b,
0x7f582bae5d0bd0cd, 0xafae54979aaa48d1, 0xb5fd1870ab9f0b4b, 0x42bda68a81149cf4,
0xc6dee9e9f076c19d, 0x954bcc961d4de9cf, 0xabd0cbc8e8d9d9a1, 0xb4580790be9b7980,
0x784452821d47e832, 0xd79df172ffe433ac, 0xbfd4b86c15e55501, 0x7676603bb4880371,
0x18e6a5d2d5577571, 0x9fab856341d54d6f, 0x12cf2e87eb12db42, 0xae9bfcf91028c85d,
0xdcc366489da06b88, 0xa3827452f135b9b7, 0x9d163161fdd46ff4, 0xaf67c71f33eab3be,
0x02ffdfff0f678591, 0x9d678a76110cad89, 0xd38d2486376bd009, 0x6b634baafe4bc3bb,
0x1951a5ae48d308a4, 0x5b96ac3384adc05c, 0x2f07bc21790aa79a, 0xd276a51447486815,
0x1b145e9b79d76658, 0x76bba0b4ce5049fa, 0xa2d07ac07770d788, 0xbdc0d5ecedc8e4ef,
0xf46310c492d77bac, 0xba2c55aa4daa7a2e, 0xe37b6ffc2573072b, 0xf21972bcc9e2c356,
0xde741bc07222e6af, 0x2061faeb99d66cb9, 0xa6126c03c6991817, 0xad3e4f95e403b0c0,
0x35760a41b3e85db5, 0x2dfdfbee70a314bb, 0xa163ef61d1ba2da9, 0xf8d8ec41e251c1eb,
0x76e11618235afebd, 0x438002db719ac14e, 0xfbc1578171521697, 0x96112dd18a6bd3c3,
0xc1c9ddb7041d0650, 0x9ae7527fd9919dc2, 0xaafdcdfd74e078ec, 0xf71a70d3c52736bd,
0x4cbe3600ccdb9cf6, 0x1f02a52c59b2be74, 0x5473482c3178312f, 0xc36ba15615dc9803,
0x7dd8bd231f1fc0da, 0xf9291df737b537fd, 0x16de34376147b0dd, 0x6b1fc8e9ea8e8e81,
0x5ef81a47717b67c6, 0x7038a9372fcd04db, 0x13126d6d0ba6c131, 0xf6cae068fe5a0c94,
0x9b0cc4d8a7f98920, 0x979d179fd387e569, 0x8a74214862a9170c, 0x45f7d20fb7766029,
0xa2f5fe86d87c47e0, 0xc26d6c27793f0d23, 0xe5b540046fb4f388, 0xb5d15f7d9e1b7ee2,
0xaabfa187ee69f6d3, 0x076027ecd309d4dc, 0xbe08ff62e5a461ec, 0x201b91ad4e52384d,
0xd312f0f39357d868, 0xde11041766eb6f9e, 0xe3d102b1035adbd5, 0xe3128eded0ba04f1,
0x951000f1c9fba7c9, 0x39c6ed7edcfc35ed, 0xaea312a98376a855, 0x7a6aa72a5103a212,
0x26b2c36358189b2f, 0x33d2d991a1b71c58, 0xf2dcc15b58c9a1ef, 0x3b56f5c731986f70,
0x1a079f0e4bb5d9c5, 0x4bfb48d09919b5c9, 0x8826ed2b6dd3094b, 0x8b064b7caa428f97,
0x95ef2497ca3b015b, 0x791265a8c4e96e56, 0x073724879c8c6ec1, 0x3bdc9cab5fb4a4ab,
0xc4b38ae3cef98615, 0x495747e29eb17227, 0x3fa0f98dc4819bee, 0x917c6c66a69f736f,
0x4fde46ae358b06d8, 0x2eedd383b092b1c6, 0x5d6d20c48404e018, 0x9979f406fa73fc22,
0xc723fe61334eb916, 0x04cf48a680b3165c, 0x122ab4ba8ba6a967, 0xb0aad2bf607b07f7,
0xc3e593aee88afdcd, 0x70a3b1dc9d87a3e4, 0xb3525636c03b4ade, 0x7a648a4c6eb5f695,
0x5535916bf2c041d6, 0x685e4e85678d581a, 0x95d3e30c4cce25b9, 0xf2005369eca9c3fc,
0x6d22463d8a760895, 0x3ba0b34af5cda4a7, 0xed2111e811b364cd, 0x6d100bf7cd920721,
0xed7ceb85abd1e184, 0xd872c3786ef49fb8, 0x1d9015f66450d242, 0x6ffe98a91fc5290a,
0x6486d9b82aac8260, 0xea290975ef381e71, 0x394e1b2f7a6e853a, 0x43d30943b2ca4b31,
0xb6e7963ead61b1eb, 0x71fea06959c3ddc8, 0x7097db1db429ec19, 0xe4ac4a7af5061bd2,
0xb46038f19cd05ab6, 0x31f90ae5e51e141b, 0xe819b8468582433e, 0xe147e2935921a50c,
0xb503656ea67c5c82, 0x9278ad04f1ad89f0, 0xa21387c32b2c7765, 0xa5ea577352aa4184,
0x44895fd59d61f926, 0x07b4267107b23302, 0xeb2c929fb29062f5, 0xb3606d6fb8042363,
0x8d771fb68159e975, 0x3a4eca522ae02123, 0x82377672389cef26, 0xc4ffad7d01e0f7e7,
0xf15c752cf76ad395, 0x2467d844c6e53e5a, 0xd96428a7f814a14d, 0xb876599d58c55752,
0xef458f4a3216e716, 0xd4e874af35d20d5b, 0x88d444bd9f5ec741, 0x7a61a66f036e5d52,
0x1a2055a0b4867eb2, 0x61ab001cd8e79ca5, 0xa02458f06b7587d3, 0xfca0656a588757ec,
0x5bb1d1a62febcc7f, 0x039bab1fe708f85c, 0xa3133f4064f3067c, 0x6c10775c5039c333,
0x4e34bb1fedb1c239, 0xc7b713d7843ca040, 0x53720d4afdf108d8, 0xe875341166e40bee,
0x3775cdc55a548ade, 0x373710aacf98d4b1, 0x480ec684828d2846, 0x4acc2a3ce4aed95d,
0x4416bd9713827a6f, 0xc5657bedc52ca85d, 0x2b7bf9a5c4c5c4c3, 0xe165efe664cea75a,
0x7e0ebab20683b301, 0x3d5fd2d21542c584, 0xfbbe0d863322e79c, 0x1ea69ae0a21a6355,
0xfca8f86d86ddd59f, 0x12de1aed13e6e13f, 0x050b0745841ba09d, 0xe7243296aea1a094,
0x63f1a70a15475146, 0xdeff6afd1ca7f689, 0x08b2b01ca6336ef7, 0x1092b68187d87499,
0x0f862a5c4e4bb5ca, 0xf789d66611cca518, 0x99dec34affd3840b, 0x4536c12f89790e40,
0x67d072a17e1ec793, 0xa9ffb5b9073dc52e, 0xe82320cb5e34733b, 0xa57fdafca2ab603e,
0x69726ebee805108a, 0x71f92f565487d39b, 0xa7d25c200e01ced6, 0x9b6ec8b2df4b5eff,
0x46bbe1b46f71223a, 0xab58dcf32b3945c6, 0xcfe9a923fa30548f, 0xf17a3e528c1b403f,
0x54f647fc1285574a, 0xaa2b2938d21b7b78, 0x76cc5022eb531b01, 0x3e79bf70d265e70b,
0xe77820f85ecf1310, 0xcff89a3e49c990eb, 0x69d85c4d40d8f406, 0xa8017046a69dc12c,
0xb1bcd418fa762659, 0xec576ddede953559, 0x178dae0125c13de7, 0x29c0771245769404,
0x4df70525bd2ec33c, 0xdc32bcb3888a33e2, 0x3c48df959e1e86d8, 0x356ad9cd2e9bce13,
0xc5757c399cef23f8, 0x8c6c15e67e2d8c5b, 0xbce611f2ed2a3f53, 0x08a2430396126062,
0xecfc7c3e8baed266, 0x7156a42041e4f3e7, 0x3c2be02d9aaa8da0, 0x0269357dc4fca78f,
0x301e9c823dee0e0c, 0x96c588306ef9e330, 0x452b23c9455e20c4, 0x9829c7c98ea86d06,
0x1c779a551b3e66b7, 0x9a6e75fee7f1853a, 0x9d555c25ae2c180a, 0x5af4bb86318e2116,
0x8b3425a634a6f0d8, 0x0885a23babaeb2ad, 0x719e10eadffa24be, 0xa1535e3dda36c28f,
0xb70f842b5af8435e, 0x37a8d30d13bf843a, 0xda3d76d8ad1b5d61, 0xe2431dc31fd8fac8,
0x4ed70865c392f94f, 0x89f3596e01245a21, 0xac5d432b604d5ba8, 0x6586dc13b0de01d5,
0xf247169161ff3f2a, 0x579ffbcaf62ae1c7, 0x1d6a3f1cafc7e1e7, 0x820dad0c1f6dc67e,
0x4c1f57bb29967bd5, 0xd09a2ca91aa55c6e, 0xaa4151c9de67f6dd, 0x87c3e646d414d653,
0x634425b3ae877ebc, 0xfe6e67342f746b48, 0xeb8de2f05794ab82, 0x9a446ccbb3c84839,
0x93349b75a338e5e6, 0x642ba855c2aced4b, 0x79d0571fe5582bb1, 0x334543300e63836f,
0x20523b929a058022, 0x2e7bcf5ab0756149, 0xb3f520d6d1103c91, 0xfba5755b4feacdf7,
0xc12bddfe1f253bc5, 0x7acd8cb202b1d9a1, 0x53dfbd82378798e9, 0x4a406a84d253bc2c,
0x183f0c819b7c29c7, 0x9047354e786c44b5, 0x4a26540b61515bc5, 0xa9015a150c32c3a8,
0xd1022fa5afe67462, 0xc2d4f0019074f297, 0x13f0a4cd55376b36, 0x1e6afe2e85feb815,
0x51242e1de5638e78, 0x20cab0ec110561da, 0x73393aa3498cec89, 0x30a6a6d8759c8cd6,
0x10c7219f12d3f654, 0x736b4bd4aa2643f1, 0xe7be54207fc95aef, 0xfed62eb5c7c877a1,
0x2f18579c0a5b32d7, 0x954f0c82498d7977, 0x2670fd92b3943d57, 0x80436bcbe40dc0b9,
0x505dcbb69b69e594, 0xe347bb418fcb7f3a, 0xaaf5b4f8efd9de56, 0x48c2c3ab5c35595e,
0x44a1241197f6bda3, 0x2ca35f40fb68d85f, 0xd3f023250f3e4297, 0x9ed86826952904b4,
0x695eacd5ddd9ac84, 0xa94001bc2d23e89f, 0x2c427e95c9ca9897, 0x68650d0077f6d2e6,
0xab95eaebb03bad61, 0xd74a0c0a60e100ab, 0x5ba2bd69eccfdf63, 0x7ae89826231a2966,
0xa40c9463cdddd7c6, 0xed228ec6528fb423, 0xd33ddd7e8ed5c5e8, 0xe4cbc63381644900,
0xebed3fedb59f68b3, 0xc2d7504b8c123cc9, 0xff2b7a600daad47d, 0xff2daf312ae6e8f1,
0xb631e821a282811a, 0xaaba6a171954114e, 0x2156d5efd072f89c, 0x6cc090fd8ccd6298,
0x7d83358207a00e60, 0x7ffdd930ed5b393e, 0xbc85f92d10c3ae33, 0x0488e182fe76d6bd,
0x1c55488b05bef1f2, 0x38d2406c013c2e84, 0x35de9a1970c11810, 0x2b7afe93f81a3d56,
0x8974a9f85dba4963, 0x5e26a39b700917b0, 0x9a76f45979b13d91, 0x84d7a8c2b330cffc,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x9fff63056ed06552, 0x16f7b4c87092131c, 0xb90e9bcfae4dab17, 0xb8125e9e658252fe,
0x8c25dd13a076c9a5, 0xbc07adf736a65241, 0x6eeb1e51349beaee, 0x26bc797fdb9eaf2e,
0x2f5669b3ce11a3bb, 0x4fdba2b7c198efe9, 0x2ea8ac251cbd028e, 0x7f9376badf0a7d72,
0xc5e86cefe0ed6b8e, 0xa49090bcbd540085, 0x62d4801a6355db10, 0xa1aec9f3a4f97c99,
0x6d4b570bd67ad062, 0xcf1e644453990169, 0x80c17889229bb302, 0xc52a351d68069c14,
0xa6ecf2981286716c, 0x47db518c30741fdc, 0x2d012d9e8165b952, 0x03db6b0164ff0eab,
0x96613a86eb60f15b, 0x6de318d4ad689e96, 0x89845897fd3acfe9, 0xf2e7a57016a222f3,
0x90a6d777d2968fec, 0xababa0d2bcec00a9, 0xa6e827f2cde70f2b, 0x288ff0e0f4bbea8c,
0x5b6e4586ab850111, 0xd00bee510d6ddd4b, 0x35bb071ac55515ac, 0xd6b7f46fbb52ac47,
0xb42e6eed275a748c, 0x17e1c0bf17835ca0, 0xc7532e72aa9f8003, 0x29ba4b5952830987,
0xf1f5a3149fd03037, 0x156fd2793e8e0bab, 0xa4ced5e273813cd8, 0xa1e1175534f851e7,
0x05f87942dfeb7f8d, 0x4302ccca16515385, 0xed723d4bc59b08f3, 0xb1b1efd6f89f11d7,
0x6df08d875cae343d, 0xedda1ac9d18dbef7, 0xfa00d38a5c5a7c1c, 0x954ff6e3bf041b58,
0xe9bd8be7e499a0fe, 0x8006a49904804037, 0x66b6e12c6b1c5172, 0xea98d1b45f4f956d,
0x6abbaed1f5a7afab, 0x3d7be5124378e684, 0xd0620bca2c096241, 0x1dd75e559f41a0b3,
0xe57497cc44d3119b, 0x47efa81985fb7a06, 0x6d3f76342a2e3309, 0xb46cb486c0d339a5,
0xc7dac5f0538f219c, 0xce4bd4db3f948694, 0x014cb2bbcb80867e, 0x50f554ac56480123,
0x042d8cf693c43868, 0xf8f001f337c85159, 0xe59338a51532d75e, 0xadcb8e25551bc121,
0x49ef1791f5f2db36, 0x09f71f4f4d410864, 0x7ce2684eac6d0945, 0x9f36b07930708ed0,
0x0b19aade7024e138, 0xc5eaa9c3c5bcecf1, 0x3f382a80edf41c9d, 0x3d123999223a623a,
0xca17149f536e4b58, 0x0ef3bbe61b8b4154, 0x9fe3de8a4a096f8a, 0xe240d31c5de91f91,
0x54f7abb0d90012b2, 0x04b29380d9fc14ab, 0xeb5f2def99af763c, 0x17ce75da5f058922,
0x2cc4aacf32cc9e79, 0xf58d07461de39059, 0xa6fe23fe175e98e3, 0x9a023f88079a1a53,
0xd886ee779ebd052a, 0x3e5b9a57ed495d9c, 0x1f3623cb56d3c78d, 0xe060005c487722fe,
0x3c8d5f406e81615d, 0x5303d43bc8cbc36a, 0xc9bf2977458e6657, 0x4d51f825128a5911,
0x33ca342ed031b2f9, 0xf665c2bf31d7989a, 0x07cb93953484b9fa, 0xd108efce983fda8c,
0xcb4c4e27f473ae87, 0x2e08ef3e05a1b1ce, 0x00c30832ca11ee45, 0x6bf2f66edc60519c,
0xc874317aa8b8e68e, 0x52b929eeabaa14a0, 0xe63c33659b399724, 0xf83bff706f87eaa8,
0x6256b57275b19f1f, 0xf28505ab38af9596, 0x3bc8ef6a6773b215, 0x90ae2be7a3a9b6d1,
0xaace2c0e6d8fcca3, 0xd05eb86b2620c364, 0x81ccf3f44063530e, 0xea0cd043440d5f2e,
0x5cb05893f8ac9cac, 0x3b65c9e05161dd4c, 0xe9065bf23ad831e2, 0xb174d89c538fbff0,
0x737c6c0931c46098, 0x34e2d54eae146f85, 0x8dd310957e5e8301, 0x4f366f390feebf69,
0x8be452dde3250824, 0x5ee0d5d41e8e2068, 0xbaf5235908833c7d, 0xa2d51a0244f94155,
0x3c9c6ee51284293e, 0x9e99e8209b0d6ceb, 0xae91ae643bf62a68, 0x218f2137c7b4d2ea,
0xb036224a9ea361dc, 0xcd3b72467d671abf, 0xcf83c3699cc590d8, 0x7e1849a5beb578c2,
0x412a2ab5c929e418, 0x44d556fb61b0fe5d, 0x70730310c9347d2f, 0x9aa3014e040b5bc5,
0xcb151db8726a2df4, 0xb67041a1ae4022ec, 0xf255f699461d2428, 0x2e0955329cd0a099,
0x43959a9d57529c37, 0xe0850ff2bdfdf267, 0xf28cd6d637f3379c, 0x1a42d8f50fa07c2c,
0xc032a7f786aceb7d, 0x4f98709b053a3091, 0x53e93f8427406cd4, 0x7235ab69fabe0947,
0xd0008cd9b53b8cb3, 0xdc8c3e533794d7be, 0xc6e2baaca5e9e49e, 0x2b5e8fecffedcfcf,
0x5a03cb5ed5466d69, 0x04a0bb48b9f2d766, 0xa6e0bcf91906fc94, 0x6831c726cf0f70c4,
0xce7be139ceb013a4, 0x2c186eafe6b0652a, 0x6c7f2ee803e1fb8f, 0x22b588314099b565,
0xe8633df8d65f98af, 0x3a75f378e79d02af, 0x449064d142620038, 0x76fbbdd44ae367eb,
0x7ce79605138593b1, 0x4a0c4af1f1c47d0f, 0xc80a65ae9df38419, 0x7bae43063576a3b4,
0xff13d8c6542b7327, 0x20100e30057152a0, 0x0befbcbc7c08ada8, 0xfb609617a8e026b8,
0x28ef02216fc3a9a6, 0xc2589b50dbbba5d7, 0xd50d584e9255bc1a, 0x707c09e31b1b5f33,
0xaa258172f67bd62e, 0xbeea58a36695b84d, 0xc67a93000c0f52f3, 0xcad16445903beaf5,
0x8153b5e3d0281db3, 0xe31fd3403c11cdd0, 0xfdda8df73d567bad, 0xac489db919a719f0,
0x83d2bc8bd8e0ebf3, 0xccb8fd776f55a173, 0xb8abc54624ef1e71, 0xf2342bae89e745a8,
0xcfadd9198c735374, 0xfbd2e115ddf7396f, 0x143d3176f865c6cc, 0x51d134587be1d336,
0x76efbe8699f73149, 0x78df0de3d73d46a3, 0x19df058861e6a36b, 0x622621bdf84a3abf,
0x98ebaf3b7f444afb, 0x94cb8297adbc2ad6, 0x67df6af749f1f833, 0xaef23c3c3a2b5a0f,
0x6f717e8aa86ff80a, 0x1802af8496dcaae5, 0x36d66751c1071163, 0x04d51219daccb2c2,
0x083f6f6de650c23e, 0xe0a2be9919946909, 0x3e76c4f9beff9441, 0xaa638d8600472e6d,
0xf54fa672f3713565, 0x068fe5a532e5309a, 0x6782a8dfbec4d79e, 0xf55fb7c29a64195e,
0xe4cf927096686149, 0x4c0b85fceaf31cab, 0xd893f18d82bc5292, 0xbe7cb406246129d4,
0x6ecadf9cac9ae262, 0x67cf722a4663fbdc, 0x527e295332a50dfe, 0x3bb2e87b1e8a46bc,
0x772769469b37047c, 0x1fdf6a85ff10126c, 0xaa319b9e3674cf43, 0x9c853dc70c64ba69,
0xf0913cc13789fa71, 0x305c8eb03a2faec9, 0x33693dd35a15706a, 0xe23f265df187ac5b,
0x7b4d5c35fe979fcb, 0x505ac0f400dec5cb, 0x9527ce1bc5e5f0e3, 0x4e4cc7eb6a55a2d2,
0x78013649cf6c5273, 0xb43dcf8501e9c054, 0x5bfa2caded446e52, 0x21eee541f12ea717,
0xd820d99ff5c1cd81, 0x34dc3edd0a51e418, 0x0922799f21981cd2, 0xff7687ff28da2a4b,
0x0786f8627c665e1d, 0x4ad48ee2ebdb9e6a, 0x3f6c31355fb5ab7a, 0xf27593687352ab42,
0xc556c002772525c2, 0x710bf2d413efef50, 0x070428bddcb5fe15, 0xb69008d569788ac0,
0x3d2e61ac3c61f03e, 0x808e1e752182050b, 0x98edc6d052cdcdea, 0x4f2524d15e633443,
0x9c3e4b5bad23fa76, 0x5e66063f9bf92dad, 0x44d552c2b3a746da, 0x8a9dc7a1362ad566,
0x3fea0ae1c5cc6d3c, 0xfde76b07f981d666, 0x2ec8af109d628916, 0xe699c9e3027133c7,
0x68429c228a7624ae, 0x2b98e8344dec9055, 0x2fd109acbae8b57d, 0xfa553dd831847525,
0x7f24a2c356e2e081, 0x165d667dc6e3038f, 0x1924e2a67ec76f95, 0x6606d2cf05e14780,
0x4549a82d0f9b9987, 0xe8fd72fd398ebe4c, 0x40b9bd22890b0801, 0xade91a571cbfcca4,
0x998d91a20bf33ea0, 0x58d5377df803e54e, 0xd987c9e03176a770, 0xa736a18b9f91a55d,
0x845a26ec07a12116, 0xf8811c2541b100db, 0xd99596f395f06cb8, 0x579fd8cb3b9c15b5,
0x2f526d3f84cbe19c, 0x8b7635dc7030042a, 0xa2152bdeb0b256d0, 0x0cc163ea16760fd9,
0x813185558748185d, 0x637d54d223be7bea, 0xa1d450591482adf4, 0xee7a9a3033a5a447,
0x9c74d83877c3eea6, 0x416c3abc0d255eb7, 0x608acb406e6fd8e3, 0x695c2b91d163c73b,
0xc1fc481a2e53ed04, 0xa1ebfcd69a28d53a, 0xade8bd3f872e82aa, 0x4e1cc2b0f73b40cc,
0xc6b669c9943663df, 0xa9b7d27a3c7265c4, 0xd4154759ffe4fd10, 0xc6d26030b64716c4,
0xc4193f18efd0f586, 0xb183a700e3dc81f7, 0x9589d916358822ab, 0x9ddf785e5462c282,
0xc322cdc08f8fb49c, 0x749161d3f66b16f8, 0x0bc8b22096eb6f6b, 0x9994cf3176525f74,
0x22dfb2ea8e332160, 0xf98703b6550aeb76, 0x884251bd16288281, 0x8a8136d0339ed5b9,
0xa09f9c250a303164, 0xd17903f68a42a7c7, 0x9608f7fa9bc473e3, 0x130b63a6751fbdc4,
0xece962a593657e83, 0x9bc03499057b817c, 0xafddb8387058e06c, 0x20fd27fabf02764b,
0xce68367a84b23e41, 0x19a01c270872aabd, 0x050c2e5f35911cf2, 0x0d48290908056dd4,
0xf75f6e273f4cb9c8, 0x5947bf61d4f4b26f, 0x7633490523f4dfe3, 0xa1a5c901b2c43ae4,
0x240113e3cead4194, 0x7adfbf6e56d0f2b2, 0x8fbbc241e1e8f0df, 0xf537d5cea6b86a5c,
0xc7e7162632b224dc, 0xcaecc485a8bc94ff, 0x117e6fb42762fc72, 0xb09b910051c37d7c,
0x14617abe1c20b2fc, 0xa2eed56ba262dfae, 0x4d7443b749b793a1, 0xf9a49c97f03ff980,
0x81a52cea6e8011d6, 0x52f0def20961df7b, 0xa965f4024a72d675, 0x6d87063d3f808e03,
0x9165e447a625e892, 0xf431316481e1507c, 0x099956f28a58f74e, 0x89854be970dcd251,
0x56e58fd75f15d2d9, 0x2e19af097a2e8471, 0x244f9488e3e63ba4, 0xea72d13010d6fad6,
0x6e87987d1bf2a70f, 0x01bf79f6d9a53638, 0xfe047e0e3da19c26, 0xfd6fee1a809a5676,
0x8a6c1da89f8ff555, 0x4146e879251a771a, 0x8cf748f79e4eb8b4, 0xb2992bc746a33c37,
0x0e6335f9cbc0912a, 0xe517caca432b212e, 0x90937b67925f8a4c, 0x605d7a28eeb021da,
0xdf6eace1e89d3c11, 0x422f81cc954e9b81, 0x523347df21f19c62, 0x48833da49e46a93c,
0xf0cd96910bb6aa95, 0x5aa425689e99c112, 0x5e7ae2a4eb9ba102, 0x0bbd99327e9cd31f,
0xd9f290515d0a16af, 0x0aa5602eeb618d74, 0x862ef84123c4fc93, 0x97b1ff397a68b7ea,
0x58e16e6c61682643, 0x901f5b0366f83ec2, 0x3adc437adffe3a7f, 0x9246aa53f8a74134,
0x16f72d0fdf3196db, 0x6c4b99463b6894a3, 0x95b23b3842f9b6b4, 0x76615ca0af99963b,
0x617d2b25b67fa765, 0x1cd29cef9fd64bca, 0x3f93518612457e40, 0x7b66e0fd857eb150,
0x81f67416cb319528, 0x401b4e96a528106b, 0x2a393ee9660b19ff, 0x64ecbcab3d59ac4d,
0xbb2dab9255ccac14, 0x05ceaa5872412de4, 0x98a67a78fec304dc, 0x0f8452a74c537c37,
0xd9ed7c1ca64e61e8, 0x5b50b348a83493d1, 0xde82ea94c5550a3d, 0x947e8bcb780b5e7e,
0x1ee5c9a9e2b44b92, 0xd7bc9cda779a5df4, 0x78b2b38a17104c60, 0x824b41051ea46aaa,
0x0e1fd4ff44c69bb9, 0x00117a5a17b6c97c, 0xdfb8a6e612d458c3, 0xb286213354c0d4ad,
0x62a2cffa6762dba9, 0x5298013edc3d78f1, 0xbb4b454957ec57eb, 0x8f5add22901728d7,
0x52a8cd17e89e8618, 0x9a8169d9cc7e7aef, 0x9b08cef191a82a66, 0x089da7756cc0e0c9,
0x1e60986d89b98f02, 0xf7cbb5f3a511ae0c, 0xaf471f027b7a8794, 0x55e55e08c2242914,
0x99713e7333efb198, 0xaebf60b429af16e9, 0xe97d4e473677d197, 0xdf26db7813321518,
0x92378410d973166c, 0x2c086b4a98875fa3, 0xd587100b7c2707f9, 0x3f06cc904612d53b,
0xb5154c8668b9cb28, 0x2a6e464d0f7a538e, 0xcde86bea4e6b6c61, 0x8b4e6d8ee072a8aa,
0xf4082770f628ed63, 0xf1628f5c8f639ac0, 0xe12156c890fc5aaa, 0xfcd98a8e3db3cd11,
0x70b886bdbb71323e, 0x591334c42fe35516, 0x4ccec87479c49a4a, 0x9312fe5d25636c42,
0xbf0be15e1f0d65d1, 0xd04884671aafe2a9, 0x172c5a6559f716a6, 0x2a0d3de8470794b4,
0x62a9679d0d98691f, 0x4799bed74a75f788, 0x58b1d9cd893c5086, 0x0abd11f76a2d4ae1,
0xcbdc0bf75a38b630, 0x8727e93672765d8e, 0x6056a2e20265fcbb, 0x45e6609f5e21e9df,
0xb6aefccc0b00b726, 0xc7564d3056a01f4e, 0x8d7c695e92b84ec6, 0x64a872266cd06204,
0x44bc993b6e5f4acd, 0xfb334726fdd30657, 0xaa0780a016ede5a0, 0x297e9c7940d6db57,
0x506c2af2cdf607c9, 0x2c74106c7b796afd, 0x00b758fcda17d6b0, 0x279b06468e816a8d,
0xe45369e9934961c1, 0x8e4b29457c799729, 0x35c55e87361b3e41, 0x6cd1b014dd7fb686,
0xfe9fda934eabfe5c, 0x7f57bbca71adf5ae, 0x72ec124b019f8089, 0xbeb2b9ee9b4d4af8,
0xc6a646d10ed357a6, 0x22579964ff32f607, 0x68231561b7402873, 0xa18ad9f63f0b36b8,
0x04832342e20876a1, 0xbee5943fa804e547, 0x4406ec8b17f63af7, 0x9d07615aaddd13d6,
0xadb8fa68fa01522d, 0x390c27a285f21d7f, 0xd6a6312730c9cf8b, 0x8cbfca2994d6b379,
0x4476b4082c6aa088, 0x02b5ad55beb98175, 0x9424f5bdfb53999a, 0xcdc9897b272d81f6,
0x99b47cf98729e809, 0xd20844676b22b0fe, 0x41af442119291c6f, 0x3cbde034d6397bb9,
0x4d8820d5118ffba2, 0xf1663b1dbba3fc1d, 0x739189d5439702e0, 0xaf15b3e45550c2ea,
0x64d585bc0ca6cdea, 0x87ae19cca8217158, 0x5625c8522ebb325f, 0x801ef90088d8851b,
0xc03172173ebefc6f, 0xa369e166ecc34af4, 0x8be4f434b7e4c69e, 0xd5e77d909ea9d2d3,
0x9c6295b568de2401, 0xa22aaa960e9ebc0e, 0x40e3bfc59ca0c3e2, 0x9dd56217fb4c5923,
0x32dcab906878af52, 0x720322437d6ebed9, 0x823aa90118b3a706, 0xb21c66b32725a46f,
0xe49a8c1b1ae22f8a, 0x77ac50f69d5efc29, 0x761bd53357037257, 0x9977ec61ebbbf102,
0x6133137eafb84a6e, 0x5f56651bd232b449, 0x7c5d7f3c5603f0ab, 0x5d0cebd196cbc2c5,
0x9db8e902c03c80a4, 0x947334ef8f318866, 0x3438b99ef1599c20, 0xae442bf025a5d26f,
0xede5d5f1dc53f0fb, 0x91f2e0054d264692, 0xafe7ec8cd6b0202e, 0xae1d6e887407dc32,
0xe4320f849542343e, 0xa8e5ae1b12b37096, 0xde6cc0cc5fee0789, 0x1e8709aa68913788,
0xe188178375c63d48, 0xd29f3d0d125573e7, 0x8484ee99d4fd88aa, 0xe905e1cb0ce0849f,
0x07ce9e7059120857, 0xfbfee51f67d556b6, 0x2759569a7ff8c9f7, 0xecd6185945eb780e,
0x058c6a5247b9d9bb, 0x0abf9ef2ea50708b, 0x940a6eb145ae0907, 0x99c0355247019e83,
0x9dc961c5ccf21fc7, 0xfd9c9a094d47088b, 0xd58544fa708724fd, 0xce711325e966cb7e,
0xb5a53a9e83f39e63, 0x5352bcf288153c7f, 0x20244e9ab46a611e, 0x88f9d3f9725a25ba,
0x82f5b6b1a47d478d, 0x0a8dd8e05e13880e, 0x15caa05baca9b42a, 0x0582e8fbd3af6e9f,
0xe7c34f70ad5acaf8, 0xc67f44a1660700bf, 0x86df10840eb9616f, 0x972fbe7b6a6e2592,
0xbb3a9a8cbb994687, 0x4d0fa82cf8451d8b, 0x8e55093312c0d866, 0x4495b5604a155ed7,
0xe74df3842b1323f4, 0x4bdf23455c482393, 0x7a9bcea31f687d27, 0x5514bcd3938cc06c,
0x5cf2ab700360159d, 0xaa0d5750b2365b0e, 0xd49871205c927f81, 0x6aa5e5a4b943ecbf,
0xbc19aad54882556f, 0xb980361691c04cba, 0xf7a589d3441c558d, 0xdc4a3279c16832d6,
0xb1eed56d6ce19714, 0x9eddf1e1512c8722, 0x4e0059574dc39510, 0x72240f4843b140b1,
0x5333c92e6cbb77d6, 0xf747d44cbf0c95d3, 0x80f65984a5957cd7, 0x0cb2b08a8c843d46,
0x607c65a950034731, 0xc1ea51c0353588d4, 0x9f0232364bdbad8d, 0x3ae60690f3071ace,
0xa24a8985fd98cfda, 0x6159a316f7719249, 0x827abfaeb7b28eda, 0xa6b36013efd0a178,
0xc80f89a500763bbb, 0x28d98645f7df9918, 0x0e155da1d912051f, 0x176a3ebfe61b52ff,
0x6b8f5224a181419a, 0x4903a615cb4d2415, 0xb8806e41f2634145, 0xc934e8045b420074,
0xa4e02a16453e032f, 0x87a1bfba42536bb2, 0xd15ffdcb28c71bf2, 0x8ac28ff6891e13f1,
0x8cc53d29ad2e0776, 0x20b73cc39c1914d4, 0x8d5cc999454f6268, 0x4301e02401d91af2,
0x8720c87768a44d72, 0x7d04855b63f35a33, 0x754f85ae33b52ee9, 0x43c05867307b55ab,
0x39a582e2c90100b8, 0x039d184991097fa4, 0x9beb296d9063a43c, 0x85eb829f960971ee,
0x167ce75e8513eb1f, 0xb1c5f6044c2e0c5b, 0xc0f3543fbaeb27d2, 0xbe7a3aea58b7df53,
0x3926aa324027f01a, 0x706d554fc628682b, 0x5a468d6b0eceafbd, 0x20f9f270128b2456,
0x678c0361e3af38b8, 0x8e0b251d56d9fed9, 0x1dba11620128beae, 0x4b2543d8d7924b2a,
0x56bbbca83ff47a0e, 0xb7296e1dccf77788, 0xe1d8a4ef3a69fb9e, 0x36e917d5c5d03257,
0x4e13c8fcc7f923c3, 0x26a3d3c0e0818e16, 0xaa4d46749d29e0c0, 0x329cfe6400c1b95e,
0xde43e96243e84a5d, 0xf8cfcc93bc35013d, 0x8db86e3ac1b0aa49, 0xc28683c1f9a2e395,
0xb7e2361c646ac7f6, 0x90e90b6fc8cd7b47, 0xf9dcc995dd264a1b, 0x7776b1ad0532221b,
0x8d3b80bee584be22, 0xbf02a0f6b593596c, 0x5949ad6370e81b5e, 0xf595994983843344,
0xb9c3c8afa549a196, 0xcbccb44ee508c4f3, 0x84f91cac0a0f0344, 0xd9da5c8de0b9cd3c,
0xfc6563da12570137, 0x79a516966238e478, 0x78558cfc20e7d312, 0xf3bfbd22f82dc259,
0xefaf6a62ea0b0977, 0x7e2585b9d8362644, 0x6849d743fd03cd3b, 0xcfe1bf1e97811c01,
0x507559e441a0ccfb, 0x319d14bd390216a1, 0x372a82222d9ee3b4, 0x8289dc0cd04a090d,
0x9749e9439abfbec6, 0x572c1bc13130c8a2, 0xdf35d7c556fe8032, 0x83baf84f38531e5f,
0xb1f21236040c8ee2, 0xfac1555c52766850, 0x810e4a5d3eb8e57f, 0x8335afc4864db238,
0x6bc938556129ab4a, 0xe53e6e18e8420e6d, 0x16e8d84e6803a018, 0x62d5bdec8e5fcbf3,
0xae2b57c86827929e, 0xbf03d1eb0b406ba7, 0xd1b3a633e03ac0d6, 0x1f9e439fb4ec51fa,
0xb629c3469adeba4a, 0xefa11a93271dcb3b, 0xb6df0abe0924f6d7, 0x3d7cd9d5d7a48680,
0xe76c2e7b10ff70da, 0x20c82b7924c25a81, 0x599be27ab017c943, 0xb1305ff11b9bd871,
0xdd791722c5420313, 0xf63d4e7f286b28b3, 0xeae6a8890df45b18, 0x8582907264f4c8bf,
0x85e5971f9368098a, 0xfec637e1968510fc, 0xb92b3406267ae475, 0xbd112b6183379ab8,
0x704107677fa9a439, 0x595619008502ecdf, 0x109cc252ee3c2b71, 0x4d67283869a90deb,
0x58e454367ec946b6, 0xe985406a3fa8a49c, 0xeb690e74fb08d4f1, 0x068b97eabdcc2e3c,
0xaefa3a903f32dff7, 0x541f669d0d3f9e60, 0x5188ece0f95dcb26, 0x9a6e9834c2e12535,
0xbaca7da307848aad, 0xdee41f1b2ee7b66f, 0x22db4bf842626fca, 0x95956038f2304e2e,
0x37743e1f2f6fbe64, 0xaabed7a3d403ac8a, 0x408a2d4deac13698, 0x9cd3fb5e48c52777,
0xa3fdc85671411185, 0x59c1823600667555, 0xdb56e3611e6b306b, 0xf8fd973cd8866a31,
0x7331fd81be2c6cc2, 0x49ab1e27eea27211, 0xc68c58d60cb3a585, 0x8231e5193bdcdbf3,
0x08c4f8349d267c83, 0x3ba9e2a0b6b45664, 0x3f13fc1837145133, 0x83821bfd0072e721,
0x28de8915b4e1159e, 0xf9ef394c2586f09c, 0xc8f06bf70969d334, 0xd4af5ef796700106,
0x0f92c4e0228ea439, 0x2829df2c0e48da56, 0x0c91787214d31d99, 0xeb3a315da0bf5ef9,
0x875c1d45f3279741, 0x2ca30946742fcd4b, 0x4a43ddbc954da493, 0xbd2b788f2cd9fb24,
0xe50f906f8ffb59fc, 0x1fe75fa82cc37604, 0xb60c41d399887631, 0xeaad8686a74cca3b,
0x3bf38a88a4a31cd2, 0x82821f5444b5175a, 0xd4ef84b9645665a8, 0xcc3394e720472443,
0xc3fd2ba530465829, 0x34e97a0ab53ce3cf, 0x8faf199b8a5699b7, 0x7c8a7b99fd979b68,
0xea6b8faa1444881f, 0xaa1e600cfb60420b, 0x26f47384d70dc6bb, 0x47e8868b7bfe20ce,
0x328fbdfc969fd182, 0x68bfa18447f1b24a, 0x8a030dd7921d7ca4, 0x73dbcb29329caf83,
0x9f0fdb9c45b11634, 0xd8d8e88a2c8f46e8, 0x10c2f67486e10ba6, 0x75f6f1826e367956,
0x1bf576927e586af2, 0x66933963990e8833, 0xb799605ab472c3e6, 0x88a324bc7e8b6162,
0x7bbd2ac2e43e4b5f, 0x545233c03201e628, 0xec0f87d30badf223, 0x6d2f52461c051a50,
0xa712e4cdab1ece5d, 0xf3354a689b2b091d, 0x39bc0f8831782b7a, 0x085411c03e52507d,
0x316a427fbb094db7, 0x6cd2792b3b050926, 0x629fc555b860cc9f, 0xc0156a6007028225,
0x3ca1e9910bd3138c, 0x5d63254142ea6fba, 0x494a3a9c63c8f776, 0xb26f5ad84210217c,
0xd199876ea746f5bd, 0x49b14fe820107374, 0x99e407220d210681, 0x3a216a6e679793bb,
0x8bba7fc95ee699fd, 0x48f7cf2b23cd3b9e, 0x1ec23384148e2681, 0x61e1d210f6441241,
0x5853b56be2c3e925, 0x1b980acef7ab3cb0, 0x86de1f866c288951, 0x3be462f4ec6cf7da,
0xceec9ff0c30b6da4, 0x321cc9abb9b974de, 0xe070ae7dd00a0c3c, 0xa9732653b3973301,
0x990ce16d01770fdc, 0xe2f7edcca107b01b, 0xccad43e030010e24, 0xf6fce5d080908e31,
0x7bceeb9344b1ec56, 0x38069c19ccfcfd3b, 0x08c6836ca798c6e2, 0x654c8064ac567a41,
0x87b9513a66c899ba, 0x34f3f3665bc5cdf6, 0x16a6e055957c26d3, 0xde658c38f03f3651,
0x97199b712e9be779, 0x3855210e438d191b, 0x07c9275d4215c560, 0x391fa47eabc9aaf7,
0xc4cf37a5a247cab0, 0x492c1bf81981b196, 0x708ea5037560533c, 0xe5be547ead25e33c,
0x7abb312f97ebc95d, 0x0bfc46916b589cd4, 0xf0cac89061226500, 0xc092019fc767913c,
0x552605531b64a68d, 0x9c6017cde505474c, 0x1dbc1b2c7e65f2c3, 0x69e20ecca1fc5835,
0xd4bc910f2a15d1c1, 0x75ba7f4ca84e8b39, 0x78818a6fec3b21de, 0xc30996ac86f1e58e,
0xc12e27c9e77d0fe3, 0x58b9031a59cb3fd7, 0x925288a6eb9e358b, 0x0a34f57be5b1788e,
0x6fc1876fe07828e9, 0xa0fcd6e291b3bc04, 0x31cfa3533eea0704, 0x6ad113c7ab419564,
0xbb65625b13ab5401, 0xb140ce96528604e1, 0x04f590eefb401d6c, 0x3811ec178af6e917,
0xb843fda8e03bbaa4, 0x9a05fa62e20ca281, 0x597488458f8f366f, 0x26c4efdfde40b2a3,
0x32e53e9f16484a2e, 0xfcefb96ea6142f4a, 0x40f98d8d0be5b82b, 0x0ff86b23bf6b8758,
0x7cc2e75280d0145d, 0xdd1fa456b29487e6, 0x510335ec7a7727a1, 0xbebb2c7b31ee4ce2,
0xa59eb113f5701bcc, 0xe772e89000f76c27, 0x99629970a18ea142, 0x9d1553f3b2a0a401,
0xab473f6bb149946a, 0x0a14d6af6fe56a76, 0x885ec1fd9ce5f2b4, 0xe975527957020c5f,
0xceba8ed037ea1059, 0xffb498a2f537816b, 0x2465bdc000ffb3a0, 0x282dbc90fff083c7,
0x552f9ae55f539cc3, 0x6767141fffbdd05e, 0x2b600d2a6c62e538, 0x46e2653c71395737,
0xa3eb1e0f992f6fda, 0x10303b4c07ec5c43, 0x0c33668ed412dad8, 0xed6f376afaab5d63,
0x1816962c3e952801, 0x9ac40cd85ac9b4e2, 0x489e39922c41cbc5, 0x0827d598ac2e21bb,
0x06d3b76a298c45b2, 0xd2cb9929a46cebfe, 0x4bd020b85ead85cd, 0x848ff6f07a873f9a,
0xa5c302501af2e55e, 0xd3ff788b079ef8b3, 0xd6dfc3757cf4364b, 0x720e338bf657beab,
0x999656c2241a5745, 0x715dea9520e9623b, 0xf9e8d40622477b3c, 0x3fbaa7806fc0d3a7,
0x0fdc1dad6722d0b8, 0xd34cb4a18532eef1, 0xb37ded46b620b0f9, 0xa16b4b4f708b9586,
0x0fe8fa4777c1a78f, 0x8b9733b78da26be7, 0x4c632811dce909eb, 0x16a093d884efaf56,
0x239704f1bbe4b757, 0x769a003cba827580, 0x52d240a7a2f003f3, 0x2d6d9112f509c899,
0xf69f3aea26693bc2, 0xa594c3cf013560a3, 0xc7caca5ba87cf3ac, 0x801342ab9d6a2ff2,
0xfeec5dcad9c772c4, 0xeee901dbd7d5c5fe, 0xb5472fe8bb252bc9, 0x2f1c2c8037b14915,
0xb82e0db42c1c9026, 0x47b1e1610d4d7fd1, 0x8a00f0dd1e089dcd, 0x4f9596c1ceb8e7b5,
0xa02996a478a38feb, 0xfce1793f32e96f5a, 0x5b3fcca31da4e596, 0x596a73f831c875ef,
0xb65198aa20147148, 0x01c6dbb4445c318b, 0x867426fdd0588d9a, 0xf1e1fb01ab132e53,
0x975ec7976017aab3, 0x7986011fa500ba15, 0xf50ff024fd34849a, 0xcada091ab329e7e8,
0xc6366a31fa5ec4ed, 0x8efc2680f0f349c1, 0xda3ccd5a4526e85d, 0xac322f6aee1df187,
0x4aca5c28ac0e7209, 0xf789d85e58e7d0d5, 0x7d82ed034a4ab206, 0x05269ec75fc7ef10,
0x34473760efeaaf06, 0x84f49c5880d991c2, 0x82a07f1f1b69807d, 0xca1edeb91bfdefb9,
0xaebf8371cb58fbb7, 0xd641eb80c05a9ae7, 0xc4c418faf2cb3d6f, 0x4b0955bcee4ced55,
0x8f651d63e98da60d, 0xdca8d0628c575507, 0xb2df84ba8dcde049, 0x495442052b64bd1a,
0x1205884daffb23ce, 0xd5e41a03238a4571, 0x187a62eb7f96c5df, 0xefb28c5bf15cd18f,
0xd8361382ba4949e7, 0x146b048b68fec98c, 0x06234198d4d18f9e, 0x72af49a5d13408f5,
0x43a4a16444731e00, 0xb67c18fd11e9317c, 0x647094ee94599b74, 0x90ce5aa4ed513535,
0x3226691a04ff7308, 0xafdaf190f3988cd8, 0x58f3c46e7db9ba88, 0x54b5c41edca0413c,
0xd0ff3029ff70a694, 0x23a33c7fe5509322, 0x054a78d77dbf528a, 0x27dc97c39c64404f,
0xa8116ded920b1796, 0xed7ab63c678ca8af, 0x7b404ad6924dea39, 0x823fcdf42d9e8045,
0x9f7588a978fdf07f, 0x07758e66ef3313a4, 0x3aaa8ac0627ab5f0, 0x2abebff0ff0139aa,
0x3437f9479ed4c802, 0xdd3b84c4da55d3a9, 0x27b9344a5bb14d45, 0x2e1c6bd73feaec76,
0xe8380f9b95a6c146, 0x4bf989ad70963cc0, 0x6fba5498ed87d769, 0x5c24288c7af84318,
0x07d157ee29e54c0a, 0x1df9e390a4802e12, 0x765364ffda4e6813, 0x244cb8e65df37c6c,
0xa767da3c4207caa1, 0xe29c4a1aed3cf6e7, 0x26266bb56e7bc8da, 0x9657c29419edbf86,
0xe2c2a2a1cb487df1, 0xbdfe6c6f85cbd3a0, 0x827fc2be36a7bb21, 0x383f45234b681e08,
0x5e04daacc0d8b5b6, 0x149bcaa40bc3b207, 0xc7bd5011099f6c80, 0x3f9af18ac0be9b3e,
0xa8f066a5eac34d75, 0x9260cc0ff1c8d34f, 0x69020d7a5361d391, 0x6cc6e3de1e93d6d0,
0xc70021f33ec302d6, 0x5896bb30a38b28c5, 0x59e52eb04e9eee0c, 0x664916e01ca501e9,
0x5cd1a736a1ebcee6, 0xbba9f2f3532fe3dc, 0xb535fd248f5f9bbd, 0xd65b2f39a2aac0a7,
0xad5be0533da27799, 0xb5c846f41e8c75ef, 0x4fc05fe4da228245, 0xeab41a97685a3530,
0x74e0c29969beb1c9, 0xb59baa39371b7adf, 0x6f0cadab66105bb6, 0x0c43f1cbd897940d,
0x6e5c89bbb1b2e70b, 0x4f334e81a9fd31a1, 0x5dcaa8633242d778, 0x08d44c3d4b7ead5d,
0x9d74c73b2833bbc5, 0xad33932bd78586b8, 0x2f6f3a983211c3c5, 0xf8cf4709361d5137,
0x604725ee8bb33190, 0x3b3d9b919ef4ca05, 0x1b0ae3e23b01abb6, 0x10d14d17405634f9,
0x469f42edfc65bb99, 0x2b6dcf18e6e2c503, 0x1b5f7e3447648c5f, 0xbfdc777a994b050c,
0xb54278a4769e039f, 0x2996b8b9ef87fcb8, 0xc83b83c6de49b922, 0x8be8f792de0b07e6,
0xfaa33c2d2b6de01c, 0xac3e15274a312aa0, 0x9eee85abaf283923, 0x97769f6858985e47,
0x33c213f7830ff1de, 0xd1d84b843c10d0c6, 0x8b611e2ceb355d24, 0x27e1735eeae23f72,
0x144a1730cb935c3f, 0x4f14210c9c20a2a5, 0x900cb58ba8ebbcb3, 0x1578d49fe24dbd16,
0x121aa314ea6d37c6, 0x1f9904b8948c5751, 0xf6c3521e68c74e8e, 0xeca2203e2f9f6847,
0x4672d5beb197e7a6, 0xdf05b184ad194fe5, 0xf5e3e7b4c9dacc01, 0xed071e5d81abd956,
0xa85b2e41ae264934, 0xee11dbddd2ee4c93, 0x28ff8ce45b43aed6, 0xf1f694a7b1fb7520,
0x5f1b92e517bd909c, 0x4e096e8b49275bc1, 0xac9b185d8d34943a, 0x38262c1cd4cef2d1,
0xcc242753581651ca, 0x3c69f58e17b2fb5c, 0x3614e52193c5386c, 0xd5b66e2ad5f6d3bf,
0x4a3601d8517a93fd, 0xc08a0db5350b593d, 0xe6a983df7722335c, 0xff27a0bb09e81b4d,
0x70aca3db006205c7, 0x45af8e2cfe38f335, 0x462c584580741a32, 0x2dfa6a0a7d11075f,
0x205312678dff6a51, 0xe9dd76eacff76d27, 0x3ca8a3a9a554bd2f, 0x82571d7ace0c0d3c,
0x05cfbad6e6999caa, 0x3ae0c0490f3a7420, 0x29dc4d9e68ff0e38, 0xe4e3a519d8301fef,
0xfd8f8e918460e5bd, 0x1a78b52eb830d1eb, 0x360829c56a60b77b, 0x588786d4feb605bc,
0xd7bf0bccca749119, 0xb8ef7b9b50cd91ff, 0x8c828af8ea8605cd, 0xddebc5f168b6bf6b,
0xcb12193cf26568b5, 0x7c27b060bda2ff75, 0xca32e999b23db52e, 0x2acb6176f2ecbf6a,
0xfaca13ef16ca5bb6, 0xb7d5595188edd9fd, 0x28636e651aa71a34, 0xc606cb2caf3d6c75,
0x38a4a883950f4a53, 0x5f77fb0de3126589, 0xe1bec50c602fbbad, 0xb73da0aedbdfc019,
0xce782f1afa15cbbc, 0xe6d1d76fa2aead58, 0xd1fd713d55891459, 0xbf91fd37f603eff4,
0xda70a89a2e041ec7, 0x4598ba9d0e3a83dc, 0x72553c0149ffc263, 0xe8b930afb24b3259,
0x7998c1a51085c774, 0x08fd65b507f3f68c, 0x70dbc9e22d78a30f, 0x1d222fe6069b655b,
0x76b4929fd3921cba, 0x953fa38dea759538, 0xdada6ae58251dd97, 0x04c3ffdae12dd29e,
0xb9a9d8efe3cde8ac, 0xcfd609c8c9f881c2, 0x59722f8f51572edc, 0x1a26fcb6d9fdd73b,
0x1f149a030a181d2c, 0x1017f491ed999b3b, 0x535c7547db2a1544, 0xa04b28bb86b3ae10,
0x76f501506607e2d3, 0x7a71bb6a66009ef4, 0xfd03741f3e6fcca3, 0x51d4eec2b52d1b5b,
0x073541a42e7cd472, 0x85f1a9db461cdbf0, 0xcf86c472c17ee155, 0xdb575f551fbd5811,
0x6beee48583b86c90, 0x8b7fdc6417104dc3, 0xdeef019d38fe6882, 0x163b50e956d6e77b,
0x381922066f2e851f, 0x4e6af2df98f18221, 0x5221bef4f5b57c4a, 0xc8d6ea9ce2126155,
0x232ef1e5df4cdaca, 0xce275d47285a6478, 0x64e8bc6d0a98d3a5, 0x51f57571d1cd6ca0,
0xe3ccd76179f9941f, 0x1f145a50e5802719, 0x0005acc495c82230, 0xd7f64b316b12d83f,
0x8cda90ebedc86806, 0x4f736d91c47fe2e9, 0xe27656535e9f6f09, 0xf2b2da697f9c0e77,
0x5343f8c0c7aaa07f, 0xfc76910d262bd14e, 0x97f8278ce9846137, 0x6b2558b4938b9d36,
0x226109e730c0631c, 0x9759a6f0eaac1387, 0x8e77b52b67a64c3a, 0xd75c58f243ebccf3,
0x2a850e97fcc41382, 0xd853f63824a2c4e8, 0x057713d3c0341474, 0x604659ad6ce78e09,
0x57b5939877e2e998, 0xc226b55d553bfb4e, 0x846f0a7dee794c11, 0x053013a2bf6bebd2,
0x8bf07927b3f8e3a0, 0x91758fa1c4cb529a, 0x878e0430a4139a5b, 0xd095e358e0df995f,
0x392373d5b30d775c, 0x3d8fdfa90b41f300, 0xe600905df87b0a2f, 0x499ed1479da075f3,
0x0e2a55c98a1628b7, 0xc344c05c8173a765, 0xd5d3d0021048a238, 0x17a3ca0efe93c608,
0x23182f232d34f7fd, 0x4ad2e5000cbd41b5, 0x5bc59f0635ea7078, 0xd01d41195bace36f,
0xc1978af5e4263ffb, 0xe3ac1f051ac8d86d, 0x54ea33595a7ac7b0, 0xc8b4c9900be1fee6,
0xaa71a51abdecce95, 0x5709cff0f13c00f8, 0x742cb76c2bcd4db3, 0x8b3b7ea2aaf2343a,
0x650f17653cc0ba79, 0x742eba9028d92167, 0xbfeec4c2b49ee002, 0x35344b15ab446d09,
0x6c161402a175da04, 0xb15df1226bb590be, 0xa2bfa36b8dd8fb91, 0x5d2b3abdae96f6d7,
0xdc4609910830c92c, 0x3162dc69ce707a8e, 0x6f3ddc96e6c83606, 0x00707e47619604ee,
0xfd970ec2e42d91cc, 0xc7abf0e077db4def, 0x1c62a972cd6005ab, 0x836d5dfa6767cbf2,
0xefc2d53800ae5d4f, 0xef75efe8ba8f7b13, 0x59a435ffddcd3ec3, 0xbb3ece6dd45a6d55,
0xdb0523391631fa66, 0xd662a0682a3d75d0, 0x820c6154facd67af, 0x0cfff3b431c7b607,
0x81497e4176a93d61, 0x6e453865d397d157, 0xedcc715f50507d18, 0x61626982bf818067,
0xe382f615a1d4ded2, 0xc183af47f16b9e72, 0xeeb28f1cc597b79d, 0x4132b505ab6d63f8,
0x5c1106abe0dc3374, 0x2101209ed9eee34d, 0xf9fb57c209237d05, 0x1c382b0b64d2c1ef,
0x54f89881f3a8c0b2, 0x190df8d3a2307b34, 0x6952688f222cdf94, 0xe9c83d0fa508c042,
0x34bf602074019c5c, 0x58f64bdc0dd56088, 0x56c9a8dea34fa786, 0x867984e5f0926e2d,
0x454636fd4fecf7b5, 0xcee84aec4a11cad3, 0xacd6f88b2cca9e65, 0x4cddfc4a6e624cd4,
0xa813b951706cdc1e, 0x3cfa682584240e5e, 0xa1e5ffecdcbd78ec, 0x92d687f1927a8703,
0xec8066371f9875f0, 0x91e36e446a1e3849, 0xaee35a45e145af4d, 0x3a90c2c7d34ee428,
0x83d99072f50016db, 0x1b69da37310619d0, 0x3754ac49f343b6d7, 0x711dbd1b3f5f63b3,
0xee2be08da4b3cc0b, 0xe5c5c366ab9e266b, 0x0b2ca7aec0f9537c, 0x6a1590f73390b0e3,
0x6e7d1b3bf82987a0, 0xc55c8cbb82a8fa32, 0xfe08f7a4eb594093, 0x53a2926acc0aa38f,
0x15c80f4181b078ca, 0x5e8e24be9ff1ea84, 0xed58e99bc9606b9e, 0xe3dddc1274d5d571,
0x52da2316a8530e09, 0x7335e514a196ae1b, 0xab6892ebfc6ed293, 0x50ebd74cd2795e1c,
0xc13873186756abae, 0x92d32cd9074e5b56, 0xb0d5d0f342e240b5, 0x846ab88374bf93e0,
0xcd5ed721f2f40277, 0x84dffee26cd3d1c9, 0x68c0437f0c238d06, 0xd5eb1c120781880b,
0xcc7f8080fe9ef950, 0x888caa55f6d2d73a, 0x7c730ea467066db5, 0xeeae843c589ffcfb,
0x8a9d642663b883c2, 0xf4431463bac58685, 0x4d6d237a6b954806, 0x0c26287f17a7cb4c,
0x7d586a62409ab38d, 0x942e28cb654c60d7, 0xc66df1a5f7f63168, 0xbe1ada5199f63c6a,
0x797bb5be10fb9c20, 0x62fce3883fd0e0c3, 0x6083ea23d0f32003, 0x6a6d7e7c86f66b24,
0xde1629a883d02b25, 0x5f7c946de31ac3ec, 0xce89ae4a0fd74a02, 0xe111d5ac76925e2d,
0x8d81d00c03ac3d5b, 0x0c0ed13a0e582272, 0xc54be40e28af5761, 0x4cd0572cb5973d51,
0xb5d223d400197b15, 0x647784e215daf73a, 0x9948e164299118f5, 0xe27dfc3596385d97,
0x59a247076fc5c2e7, 0x6eddb858362a7b10, 0x10114433dcf2bdfb, 0x72460c1c2881dc00,
0xea907ee1a06b3470, 0x3b97bb9d681af6cc, 0xb478183ee431b461, 0xef613c0115afc950,
0xef7a0adc5462afd9, 0x8faaab7312663ca4, 0x87675cbb7d7a05e9, 0x45382daecabcada0,
0x17020dcb04fee655, 0xab3ec291d0ab1327, 0xcc49704bbffd9e40, 0xbe97e1652957b6f5,
0x760422c50de47577, 0xb07df651f5dd48b3, 0xfcf513c4b3744628, 0xccab180b2066918e,
0x5ce86612c1b03ec1, 0x0a93fff351e3d389, 0x61ffa52886af63a3, 0x01b927a7e38cb0ec,
0xfd2331330bbe6289, 0xfdeb6206ed6b8a71, 0xbedca7b4ff9ccf34, 0xbad79abb970a032f,
0x2e1dd3864837bf8c, 0x113c14c085320816, 0xe8945dd407fe99cc, 0x48ed3b11a81267d7,
0x4a72e9f3159125a4, 0x08117e1aa0cd5298, 0xd70777b224e50038, 0xaf5701cc12048a10,
0x499165850104b65a, 0xf7947ab62d94668d, 0x22418360cb233699, 0xa1b52ea08cb59ed0,
0x38239f7ebddcb5ac, 0xd873f0b6db8118e9, 0xfcfef97ddc56fc22, 0xc75b8d1324914611,
0x51d3bad5d378bf32, 0x3dbfa01e914fdf02, 0x4a449831f36ae56c, 0xc27e816f7de5d9bd,
0x76018ae54b895f17, 0x1932e8890b604dae, 0xa2809df5b614901c, 0xab31b3e4c7368ed7,
0x281ea8612b3a1886, 0x902f72fa0a132a06, 0x75da545fed4b0e0f, 0x3afa68ca0476795d,
0x72e44152fa7c5686, 0x5f550efe5379fd2d, 0x2ac0423ee3ecd87f, 0xe37f5ed6112c7581,
0x5eed3ab728b6f993, 0xf3ba844362cf42eb, 0xea0fdaf57923e0b0, 0xf9b8cc5885234282,
0x64f1848af81ce39b, 0x687a4497219c1528, 0xe0f0a906f2cdb1d1, 0x88f9480c70d6d687,
0xf76db6d594c94361, 0xfee4d5e84c7018a0, 0x922e90e355814206, 0x57006a89d1339e59,
0x3c0e893b39706490, 0xb6c519d59167f451, 0xf7ddd60edf332d36, 0x968141207d2ec8e4,
0xc16ab07335814eef, 0x9acfb32f94dbcd5d, 0xc4a834230c8cd921, 0x2c50ea3ee7b38d83,
0x46ff8f1438c03818, 0xca901081f14675cb, 0xbd55a448e2652b2d, 0x261beffdbb6e993b,
0x5805af86bf3d34e3, 0xd5ceecc4a9809a1e, 0x9317baa5b16cec63, 0xd85d4df7e7c9b684,
0xe4177a404f5fd291, 0xbfd99e0c6e7f5450, 0x7bb87eaf42538e06, 0x8403a4e6462d3a34,
0x2ef3fbbca9a4a317, 0x9a084b3f7e410e06, 0xb143f64210db5f57, 0x02b161d36ba99ce9,
0xf8f354acb112d000, 0x359f9fa65f2d22c9, 0xdd34e32af13c4b69, 0xb095b2a711eb7b3b,
0xf5a24e18c5176949, 0x5119c6f441c0cf13, 0x887d88ced2b194f4, 0x8dd038726551f7da,
0xe9a61bc62999c5b4, 0x7f2d54bdfafbd5dd, 0x73d617d7c2fc57c9, 0x5000622e23ba305b,
0xd42ae65d55f75afe, 0x9efeaed46a53e9ac, 0x632a3a3b95818193, 0x6e88d3c2c48cff61,
0xaefb9b9c5a9d4998, 0xda16fd443ebcff9a, 0x902c8b6e66523aa0, 0x0a53d0e35a7d5685,
0x5f1f719cb4da6424, 0x03b0977e9806e260, 0x702662b8d78dcaea, 0xb24a194446eaf7bb,
0xbf69873cdc647cb3, 0x39e886bcc1cdcd41, 0x1bc22abce6ba1c5a, 0x315b3955df3fc818,
0x951d0ab0216085df, 0xd914cc491438ab13, 0x1375a2a767334efb, 0x29402a9cba62afbd,
0xc889036dfae9746d, 0x917e2984e7be3d7b, 0xaa7451a5624da045, 0xdef2e0b9fc16075e,
0x954ad6b178b297a3, 0x8243532361710b70, 0xa4729aace0de3b1d, 0x8c7d567099b6d80b,
0x32052d0327f0aac4, 0x614fc675dff83d6b, 0xdbd83b12a31b637b, 0xdf75f194513651a6,
0x20662b3e70845ad5, 0x6b5de9c6eadc5262, 0x15729378c91fa0aa, 0x7070517cf138e9bd,
0xc1aa52e03a868035, 0xd7874f50b539e594, 0x6e7f37260dd86e02, 0xd78886470bc58ba7,
0xc7b5b6690ce8b117, 0x29dc066aeb14d787, 0xa67c20a533748a8b, 0xf1758f17a0bcca24,
0xb7ea0fa7b4dcd809, 0x5526d9578ffd1dd7, 0x5d2805c6d98817b2, 0x8bccc935b447a023,
0x92371bb02f9ea2e0, 0xa464d4de1addff2d, 0xfe7180a21c8e1bd1, 0x36e4c01f8005fd5f,
0x39da62284cc1172e, 0x9f032d139116f2b1, 0xd9139a80f0184080, 0x5a8d6f60de16720e,
0xd3ad78b8f469cb73, 0xf1ff00520eacce91, 0x2e4e95d6a8e76042, 0xc68768a17df33be6,
0xf27fbd831665cb6f, 0xfcbfb1ca57ce6045, 0xed389102a306f86b, 0x204947a7f0de5c06,
0x1166209c56c79ff8, 0xa3ce3e66419b8f2c, 0x4a3c7c64794f1442, 0xd2632eb5fb662b52,
0x91ef7e56b696fdb6, 0x7df1b51a117e786e, 0x855ffb90aca755a8, 0x4da23c8af2f54e71,
0x87c5c88d9dfd2b2f, 0x75fb54142d353363, 0x957e247e8c00ee17, 0xca8e6a442156693e,
0x68b681ea202918db, 0x237ede2cf15100fa, 0xa495411c16a15f1a, 0xe88b455a0f862e3d,
0xc3c28e2f1579f24b, 0x67232d6b3e54b666, 0xed11844314a0e60e, 0xc224773722ca60c9,
0x36dbe697ee2d7dd2, 0x76652e79684d2085, 0xa1cef157fb8ce2cc, 0xd7df29bb7e03110f,
0x6496c6d22e545314, 0x1338673d1a164490, 0x3db9cf48591705ce, 0x19c760d015f390ab,
0x34206c7f7c971db6, 0xc5b3e00e35b0f9e2, 0x0f503360f597ff97, 0x35642f97d1d83643,
0x0010fa1dc824ae7b, 0x0870e6618681e977, 0xcd45a40d55235f6b, 0xd89a1a2de58e9efb,
0x5991b7db80f3a972, 0xbcfc8b150e0ff97c, 0xe6b012aa9017460f, 0x1353d522bf20c7d2,
0x6883acb1c086410f, 0x95d1fb26edfbb9eb, 0x2d98dcde791e62f1, 0x9e0a0a7b0f9ee82a,
0x0fe5d4470ff767c0, 0x73ca1a2274ad36dc, 0xd41f65c3509bfb78, 0x9b1b4c7c32c7ac51,
0xa3efda8a19edd0e1, 0x45fc9c0576d49384, 0xc99a6dbe6dd38bfb, 0x83e58701a29e8c8e,
0x515221fe1a012637, 0x4e3ed995e203f23c, 0x312e5b722a9d76e6, 0xc9f0de9a4efa4b56,
0xae631e518c202bec, 0xef7823fb57828cf0, 0xaaa463b7ccf2362d, 0x815a3425403f95ea,
0xe6169ead672eb0b5, 0x77066c1b6f196bb0, 0x7c2c2eedf3ac84d2, 0x43f968f2fa0b6337,
0xc86ff5fa71619540, 0x9790559e56825ae9, 0x76620f49b5e4be1d, 0xbe8b9bdab3ed26d6,
0x6ec5987738734d7d, 0xafcc34832e8fdd32, 0x3d71b5c721e7fc48, 0x68dee549a6fb714e,
0x37bf93f4723e0b70, 0x3a3e68a808586d7f, 0xc91149673e33245e, 0x92cac9da577088fe,
0x6d495e8b3a7c5558, 0xfe2bafdcb54a4734, 0x6f049a91ed1313d9, 0x7e10a03b7132a702,
0xbe62ea0eb4d7c99f, 0x54a506d50e10cfe4, 0xb009678ad4ada076, 0x6a2c4206f3bec9e9,
0x347e7375960e2ea6, 0x9e412d3d7f26a136, 0x58d32a80537ff4e8, 0x75125a58fb56c3d1,
0xe6f15f5abf437d65, 0x0fda7998cc004f14, 0x11c35209411731ac, 0x04ad89fe669905d7,
0xc19b043f49da2d97, 0xa8e165967245b5d7, 0x1060b3c45890ccd5, 0x86233b724861eaa3,
0x7a0c95dc3cbc4ed4, 0xbb4f565074f786a2, 0x44c8f157b9cfce9a, 0x249eb2eda6565f95,
0xd84c660a901e05ca, 0x062a13c2ed42b65f, 0x7492eb250a8aea1d, 0x5a2673df7c810904,
0x4bc5b0f9a3d1c77b, 0x6779c106b9997281, 0x94edb58126cd1437, 0x40e34bc020d96732,
0x150166ca4bf4b2c2, 0xfaebbd0975109cdc, 0xc830d8ef909c6dc4, 0x9060b55b38eafd81,
0x9de246ea380969b7, 0xca5341007c9d8203, 0x1db6eae3952bfc84, 0xf3b5c74c1783f85a,
0x4d0d7a6b26e7aec3, 0x9cb9e76938a05b3e, 0xb83f9428e7470091, 0xe793c6550e251499,
0xbdda4e5993c28417, 0x75c92544222d8eb5, 0xca8fe4309f557dac, 0x50259f8d866a551f,
0x787c306dc946bd81, 0x7b1eb668beb33124, 0xfb8ef11830bee372, 0x2450cc4f6892232e,
0x85db68d6c6b46990, 0x9ee25c9577212fef, 0x923db814c5d0fbaf, 0xe8c5e6030f68d42a,
0x31762eec73ab953c, 0x2edf9db4364c2d8a, 0xd89b7cf7d6b2bb5b, 0xc6ea595a0f8d7bd0,
0x1f49b9b46c540e5f, 0x593280a0014e1853, 0x9df7da33f2c97c44, 0xee4cea1132990811,
0x68d97d7be0719ef3, 0x4fb07d09d9a71914, 0x6563f8d23a04199b, 0xc9bcb42d511d41e5,
0xad8518f9119bdbb1, 0xf5eee74d2c083ceb, 0x84339f3983bf3821, 0x77f38bb799e66f72,
0x6384836213cfe568, 0x31b19272b7d6e282, 0x8ebcb989427274b9, 0x83ad16a35ec01c20,
0xe40d88ab034bd5be, 0xe5d98304c6b8f902, 0xf3e1b6b085ee44fe, 0xeb69024b8c67c3e7,
0x871530b5c9c379d4, 0x3a6136e94490a298, 0x74d8ac991c2fd663, 0x56b017fa40f23688,
0x21d0835b0b4e5d30, 0xa4e6d23c3230da4a, 0x3cf627e6983fb667, 0xe07422ac44e5d0e2,
0x7ec487eb1cb40a8f, 0xbb8b5c00b214e189, 0x5f7f653fb306e234, 0xacbeae08d54981b6,
0x8bbf553366650bfe, 0x4fde25e7de1b76f2, 0xe58d16b80d602865, 0x8dd89fab086ba83b,
0x2d1be0be2e4c8431, 0x3d4a1c578f464e43, 0x8f02467892d9e9d2, 0x07b4664d65392aa9,
0x9542f599b8b876b8, 0x2a3f6592f6437e2f, 0x2ef9198a465f1f51, 0x52af5475e8457409,
0x53ee06241ae684ba, 0x35172fed1a2265d5, 0x86f474792f0cb1aa, 0xc59c3b4efce83068,
0x6a82c258e6a68e0a, 0x2dba97c21c5d9243, 0x3aa5f441543f22b7, 0x233ab0786acf0391,
0x710c431056a6f7f4, 0x49eebc3f2f077317, 0xd8a39a2a416e30af, 0x109653581fabbd49,
0x0ace9e201bc67e75, 0xabf33d31ab0e76f4, 0xf981d81ee0baf61f, 0x7f538a85e55e4588,
0xbc263292bb777014, 0x6badade602f7253d, 0xec1d6c4c67ac5cc5, 0xca1b6f2c171a9e4d,
0x22c2b608506c3cba, 0xb4caac4cf2e79a01, 0x0d52531f6c218b3b, 0xf8923bc043421983,
0x4c3d0e0cbc4b1d18, 0x9c58c72bb5f8c5fb, 0x989d65d1b04218a3, 0x84c85da326ffd5f1,
0xbff6b5fc5b65d3fe, 0x6cb7e8d83f8c24cc, 0x872d9b0af4f66868, 0x2f125c9d067993c6,
0x51877cc204b45518, 0xb800d0be947d42d8, 0xace70520fc99126b, 0x61a17e75a5336b82,
0x67cedd49f48619c8, 0x2f9673a9afbb71e6, 0x5073db71260cc292, 0x448c2a1b55570b56,
0x77da32f818a3b50f, 0x7f36ff2fefa9af64, 0x12cdb18437b3f33a, 0xf247edce222115a6,
0xa7eca54b74369245, 0x795ccb5735878a5f, 0x38bd04ffbfe19a28, 0x7dc35ba872f21bed,
0x66d46e400b12aa6c, 0x70df3eecb5bfa9a4, 0x1cc766ca209c6c6d, 0xfbe65164b5959189,
0x5862439edcaa33ff, 0x9821ae06f831291c, 0x71a863f41e5117fd, 0xc8013b44bddbb7be,
0x27c83de2ed61eb6a, 0x48321bf0c970d33d, 0x284fe987fdc8d7ef, 0x87d565f1896c1f10,
0x661fd2074afb3cba, 0xd5ec27d77918adfa, 0xa89f1e0c97599d20, 0xb1b4a89648840dc2,
0x75b40b8c43eb8a20, 0x9692678dad79eceb, 0xa8c57eb5b490ef78, 0x21268036a1c7034f,
0x9df3d1b875b65c85, 0xd3cfdacb73acea3f, 0x9899dd26f0aa0d3d, 0x2aac0078858de882,
0xa8fc21d78c2aa62f, 0xad6d95591710d5ed, 0x2419c6674433e4d9, 0xf0c6456734332146,
0x9f0de4acb7c1b412, 0x03ec90e1f8bd475d, 0x72120555863283ab, 0x5a89377105536621,
0x4368b8f2134b88a3, 0xd19d63c5b77ab4d3, 0x15f6da163b056797, 0x0e1e63c4591e597f,
0x3bceab2ecc5e2c21, 0xe61f0028cdff61d3, 0xbb434bd614517d65, 0x1b3fce3b1b36aece,
0x8a336878642b503a, 0x526c3bcc62fe601c, 0xdfecea72744eb429, 0x0e5a0be0d29463c3,
0xe65fdac84f3d49b4, 0xcea1e678f0ef59fc, 0xec5e745b3c0f3eaa, 0x15e3cf8f87f1ddb7,
0xc92b969c306838dc, 0x88bdd828e0a00bc4, 0xe95aaa92595dc625, 0x50e3ddb8f8fd0ff2,
0x676dd39c72a6f6e1, 0x70aae36bc2a655a8, 0x951a7addadbec8b3, 0xb7628ee42ea0021d,
0xa4fdfc540267dc30, 0xa96f05029667e19b, 0xba27caa9677ce9d1, 0xc7493b1160b713de,
0x320cfd057d6e7ed5, 0x62fdfea4d6c6d807, 0x1d5d8548227f2242, 0xdee0ecde21c3d9ac,
0x3b13039fbd8fe244, 0x6496af2762d7f528, 0xe9619223d95a990e, 0x5d2d2093255a4a3f,
0xb4ebca36068f5d86, 0x5ab0a31941cb92ca, 0x6f2f9323abcd6fd9, 0x6f67f1256e879f60,
0xd6e7ff72b3aada6d, 0x3762b2cd2863c4d7, 0x1d603175b5655667, 0x946bddbc2dc19226,
0x987de35419a7d933, 0x7d86f2f359a85c2e, 0x450de71132c8869f, 0x72e8dfa0df411c77,
0x0b6db364959c6fcf, 0xeb0e1888a10aa490, 0xf565e98e643c0641, 0x3f7c448ad5031d81,
0x79df105e5b5af95b, 0xa1e8abce25cb142f, 0x5a35cbc1d9d3812a, 0x10d611a06edd15e6,
0x9f77babee4c306ba, 0x3d7d172180c44c6a, 0xd2c4a662d3a5f01f, 0xed7a03824fafa873,
0xc185ee2dde59d635, 0x99cf0e20c270cfb8, 0x426d2677850798af, 0x1322a9da827e310d,
0x4196090440dde507, 0x30811e41ad8328d7, 0x7ff0d0c4b74b3202, 0x72bf567558123040,
0xde14f4f17aa16d75, 0xbdd846139dc8f34a, 0x0549450383d120fa, 0x729c5700047fc5dc,
0x3c8ae593d1210821, 0x230e086feeac20b0, 0x45ebb71fef0bf7f1, 0x934b9944a3af517f,
0xa879eb545059240a, 0x751a2b418ea29a18, 0x777d20d7209e9fe0, 0x843000d22df88271,
0x7085bf26495a94b0, 0x61b03e8a2a054e4a, 0x6a9515af372925f0, 0x0e0773f837758d0f,
0x12eb6ed4121743ae, 0x378f42a1771e63f7, 0xe027ed7c29fcac28, 0xdac893d266f2e5d4,
0x9b0d4d31595cb3b8, 0x1506b405f17551c7, 0x493d624887a927a7, 0x662051e349462981,
0xb64a741968f9eb27, 0xbba798e9c0d9ad1c, 0xdf0625d211feeca7, 0x5a0149772504331f,
0x15071dd0075d94bb, 0x689f489d738d4144, 0x42ae02215bffa3c6, 0x987ebe22d4daa7c6,
0xf1cc775c5d41cc97, 0xa0b38fad2cf85e10, 0x84ed45020f1171b2, 0x3cac1ce1730c5e9a,
0x7db1804767f617cf, 0x217f281d4a4eaa7e, 0xe3d133be49a5b74f, 0x5a1a3d1496576532,
0xda8c285a5ef97169, 0x14745ce23041bd9d, 0x23f088c890ed51c0, 0x1029b7a723c3e53c,
0x674bc5e89d6fc5e6, 0x5017a0459a179ec8, 0xe6198bf005593bb1, 0x0170c1be39cc95b3,
0x468ce14573353f2c, 0x9203f3267670b7e5, 0x9993040e9e285b72, 0xb3033c9f3996e6e8,
0x0695938e2cf285ab, 0x47dc35edd6c03aa5, 0xe0c0f9d611806230, 0x60f9b86f2bf5aee4,
0xa33fa8e0c7e94ee0, 0xc94a517a5f02ad57, 0xd628a4b6d9c5dbfb, 0xae4c2ab7c039cd4f,
0x87728f5fc31b8c3a, 0x3ed6562586f1a3f1, 0x7c1d176d442e7443, 0x5d50ebb54fd740de,
0x63c018fcd9da2b70, 0xd19decb3c062cd24, 0xc7b7dfad6269b530, 0xdc299db355fa188e,
0xb1db4e37f434cf2d, 0x168d77ee00d049b2, 0x0620c9eb28ee7514, 0x5098e90c072e2f8c,
0x53973099e7ba4aca, 0xff1049c572e80f29, 0x7bc9c4319c383680, 0xfff57ad7c397a35e,
0x04825d90c248c6e1, 0x95b1c05eb2e5d575, 0xf4affd2b3624a0d8, 0xc5210ce0b88cb876,
0xdb4120df79f2d5aa, 0x5c95632fdf37e5e2, 0xc38e603d3eca6502, 0xd891ca5dd3389dc5,
0x9032425229f651ea, 0x1531987eade0a9bc, 0xecba3582be2c9a50, 0xb59d49e01aaceade,
0x06719e86c1d755a0, 0x2ca0ee64963639f6, 0x39dd706d4954ed74, 0x7006848e29e5060e,
0x01bfdad962e6e9a4, 0x65dbb414cb2e9a02, 0xfbab422aa46297e6, 0xb456c38b6c17a3d6,
0x63d6505083c9ebea, 0xb20234bf09326171, 0xb7cf62502d4e0214, 0x7ea2412281370864,
0x4c81b1bb9447b8ab, 0xc3cebd5292277aa2, 0xb15e2827539b0742, 0xbcc1da131cd046be,
0x8168d8b4b7437723, 0x7ff3d4fd2d4079d5, 0x87025a684d81e2bd, 0x799afc37001114c2,
0xfe2b709fdb49f0f7, 0x1b91f75559b9ce5c, 0x3a74c17f8a6b86a2, 0x6a4f269c516cac46,
0x1b1267d908ad7193, 0x1da280637b37aff8, 0xea347f02c6316af1, 0xde7b9c4934391524,
0x7ffc891a7b2c28d0, 0x4c08ecc51a5d6ea9, 0xad3fd57d07e3d524, 0x1ec017537694e4d8,
0xb825996259b81d99, 0x74cd9ff02dee6568, 0x001d5e9aece59417, 0x9ccc29d9a60d1c16,
0xae7fc1716c901a72, 0xa0ca327697e59f5f, 0x851cc907aa906f76, 0x4e4fdf0b5e9ab95b,
0x39b510ad035a4e2d, 0x8f1d892503124ad7, 0xfc4ef7e24a5bfbce, 0x5257999a00896bca,
0x825d29b7c00038e2, 0xf82117045f12b2d1, 0x6f4acbaafe27cd0b, 0x686f3c442062a08f,
0x44aa982b433bde56, 0xb3ca460b8e8e180b, 0xa29ccfdbc571b4be, 0xb430f59defb18a14,
0x9da759d792ccfd27, 0xbd4c59d878a78764, 0x2afd8783dab73b5c, 0x571d7a4d138c8dbc,
0x7f15fc05b490bccd, 0xeeedd768aff18a1b, 0x2f0fcae6a2f25f80, 0xa6ca90d5c966995b,
0x13289e032e6fb38d, 0x8490ea970c0d06c3, 0xf52a61f2011a9447, 0xe91fb6694e53ff99,
0x84399a0413af13f4, 0x893900a9ff1cd650, 0x5be096e2c2058cf0, 0x66fbf75ae8be8fbf,
0x5330484ab2a0a22a, 0x5b8e052207fd5775, 0xedd78e9f0c5d30f2, 0x6ecff2fa1502daea,
0xf75c33b5478ae11b, 0xa74a96a247b52fa6, 0xac5498070996d7d7, 0xe8a8cf79fc2b4473,
0x8b73199e324e9b9b, 0x349cab8ff252b192, 0xed738ba23742f1a3, 0x6b6e1f8e048894c3,
0xb07433b2023827d5, 0x4e4cb166f163dbbb, 0x3dbb80b56b3c3231, 0x6c6d3251355e83d2,
0x03061d1a414bd749, 0x8c61f7ec974cd6ff, 0xb68223c8ab5a894f, 0xe6c52550bf90276e,
0xfd163238aa076a37, 0x5f40f5eee06af68a, 0xb821c1ff45b876e8, 0x4b1e9aad263d8451,
0x41680eaca3692281, 0x7d2dada50e6fdbac, 0x0113a31d85c17f4a, 0xa189c5bc75afaff9,
0x576885b1f6e611fa, 0x7778585cefb260fb, 0x5e71b49148be1cdc, 0x29fab567e18a9bcf,
0x72fc86e88bea8836, 0xcb37bafd31b208f2, 0xc49af8ee7812a44e, 0xb1e76ea72e945ab2,
0xce6e9922821e49a1, 0x0d6221ae508e6f29, 0x41342d026a6f7e06, 0xc258f087b6b260f0,
0xf4d74dc8d0b2fbae, 0xb890ef947e9f0d66, 0xcdcdb785f113bf6c, 0xa252454ffedad13b,
0xd40f4beb7659e1e6, 0x67aee41fbd7dd50c, 0x896d151ea8db9182, 0x2d34b792ef05111f,
0xbcca99caaa6f7db9, 0xe775ef2082276b2b, 0x8628144d29e9eecb, 0x499308ff64a4859b,
0xedcaf1b2452319fc, 0x6ef705e743a46f68, 0x684ec82718a7fbf8, 0x0b9e4c93fe6d6d6a,
0xbd7d723e4a254236, 0x483504af05e28494, 0xe2f72a26d7ec7b14, 0x8d725a203384bd62,
0x73ff3255f1b89758, 0x922f9cd027c65750, 0x41baa8bec165e752, 0x57c496c8677274cd,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x9047673fcac14893, 0xf5df5d83bfb58659, 0x0a6230c81642e71a, 0xef14b33800777791,
0xcf1e99afa3386fca, 0x7ace937791313d53, 0x36fe159b6dcd01bb, 0xc9bc50d02e2b960a,
0x040bb31b201676b0, 0x0ec2968aea11f66d, 0x2fc408da505cca19, 0x6c832d1443ac40b7,
0xb559db3ef08bcbd9, 0x4619dc5b7ce37c35, 0xcc8f60bffab8676f, 0xc1bcc30c926719f7,
0x97818696139b5c07, 0x1352b3710edb750a, 0xae8aa5c49b0bf7c0, 0x5d429ce2082b25cf,
0x9cfcdb8fc65053d4, 0xd1f5167196f4ee2f, 0x276839e56f27db1d, 0x1d3ad2c90bcd7a33,
0xdc353dee3a27c81d, 0x2d3b38e3a6976aa3, 0x0813bfaca25c1503, 0x96cc64bb5525f09f,
0x239651d5384e2ae5, 0xeaec1df9005315cb, 0x7d16c624608eb63b, 0x12e5b07506d70308,
0xde13703bc0292e87, 0x08731c61c62e4f0a, 0x207d168cd9483f9e, 0x1fd175d47f6b2ac9,
0xd03f37e8553c8ad1, 0x1c6b60668971f140, 0x1b45dd6e969e03f9, 0xab1ed433d819eb09,
0x3b85cecbe3df3f1f, 0x7ee7bdaac9e05a8f, 0xa33be189a0c420d3, 0x8d606d1b0bc85b78,
0xd7d839fa60937c1d, 0xf319d371cec541f0, 0x61c68906cd53aad2, 0x7b0446d5ca7144ac,
0xd661e4653aead29d, 0xffaeea7b44ecb36a, 0x2ee6e08d79dcbbe8, 0xa3d5b7421ab10e4b,
0xf5087cb539f798d8, 0x5901915ad5fa200b, 0xe4dec474b6f7d54b, 0x9dfcd9a7ec9a34f0,
0xf28bc64ac939257d, 0x79808cf9b66df416, 0x7efb5643731ea788, 0x88875d45971ae24a,
0x4fb8bf9dbbeb3662, 0xe736648df00e1cf6, 0x0ea8079220656459, 0x83c449c0f1ebe005,
0x5ef0b6a9c5467b79, 0x69403e0541a453b2, 0x4fc2adf12672b1bd, 0x7c21cbec7ce687ec,
0x2c92997d7c3b7f12, 0x99a46daab6b1f1b0, 0x6e2dffea854385cb, 0x936b02f71563286c,
0x84284d45fafda110, 0x8c721ce865fb8903, 0x408ae77f74d383f6, 0xa2f2741356c91dcc,
0x913941dee5b96db0, 0x690159ee0257c2a5, 0x6f8fb7db6432fc87, 0x087439128197cc2f,
0x6f8b341061eecf61, 0x260fd718bf5c0365, 0xc2e619502f7236ca, 0x6f9a721b229b2184,
0xc3f6c8141648291d, 0x6e4810fab9dedcaa, 0x0f10a86948a16410, 0xf34948b3e17e9c87,
0xe87101ea0f9655e7, 0x44002ab99f3bbe06, 0xee96c7010aabaef8, 0xd14a8243cc6af2fb,
0x003a859b2fcaa60a, 0x3b2dcd4ced18b81a, 0x13953a4a3021bba1, 0x27f7d10393d72815,
0xe609b75c79a37e29, 0x99cb26cb848eb000, 0x3fd7ac040c35ee00, 0xf9ede507eedb57ea,
0x7815e8aefd8f34fd, 0xe27d86ece1ebe20d, 0x154851fff7881b22, 0x8032d036a7beec03,
0xcba350c0bb4b1028, 0x2eba4f9969ade796, 0x58449949fd0d6097, 0x17bf307f509c09d9,
0x8773671d5065e23d, 0xd0fdfe265cd935a9, 0x721e1720ba1846d8, 0x14ac94bdc7525ee2,
0xf2e37fcded0a86f7, 0xf992c715b4e8fd95, 0xb84bec2e6ff8206c, 0x97d4c50e0c566aad,
0x0846292e0aaa92ff, 0xc12509255198cbcf, 0x7e8ba7d812f9e2dd, 0xec377e69daf3d788,
0x60ac0d9044d11582, 0x4e70869ed02f01e5, 0xd06cd1baea488fc8, 0x0f9c80bec6af19b8,
0x1193af79d861b588, 0x6b20b1a03ebe0aeb, 0x58204d8f5698176c, 0x490239ba4ea59823,
0x37fe263d715d646d, 0x45f1d32e98d64039, 0x6b0eb2eabc2463e3, 0xbfd88608648fab65,
0x5a26e5b192db6e20, 0x945c0433dd1f5e24, 0x5a4f667ccfae0e98, 0x6120ef6b2a01d270,
0x80170a58acf6217e, 0xd9eb4d58f5a4dc75, 0x1e3cc79cf142ff9a, 0xd72d95fec686c8c8,
0x664899f524b3c9aa, 0xf3fc08338f8cb900, 0x54b810514e704f2b, 0xe188019e4edca012,
0x7fd4614f0a6cd109, 0x9b3604bcd2938cce, 0x5e73c984c45c2db8, 0xdc32545c788abef0,
0x167ff4246298f598, 0xfddee40ab4708649, 0xe6222358a95ba704, 0xbfd3677a87f72d39,
0x8ac68566d599fabf, 0xdbe08e867eb26d43, 0x4d405de2b1dd6c96, 0xa6a536e0ebe2930e,
0x4eae5928cfab2920, 0x657f68def3b1c442, 0xdf2796ad0afa8840, 0x9e7c7eec3345bbb8,
0x1c577ae5ab675c2e, 0x00715e8eb344fee9, 0x1f2086d06307505f, 0xa95665b4a4e623a5,
0x9b24fc0615ad16c3, 0x4a2f3e2f6bdedec0, 0x3d2b08376e528343, 0xabe8b21c18d5dc71,
0xadc99d655cc19f51, 0x42eff4a6a1a8599d, 0x043d1f8da90da7ab, 0xd721af08ff1a71af,
0x93db3595496b1830, 0x9f4ccabc4c96d827, 0xb772df07557cb467, 0x88e079cc16360047,
0x2a1f96a73a90f4fa, 0xf10db5ebd15ce239, 0x87334237ad7d1bf7, 0xc155cd2cf8059a83,
0xb55d40740ded930d, 0x06f9098294132396, 0x1736fee40746d597, 0x4ac16bede818e107,
0xc320f0e02eee3284, 0x2a9c909c50ae29fc, 0x83ecbd32fceec5bd, 0x4ab0fcbe1cb8a7f4,
0x9a00fb20d47d4ea0, 0x416a8e3524502589, 0x1ae65970f42fec71, 0x5475afa54e43aabe,
0x764c7049a72b0b56, 0x46916300a697b1c6, 0x2fd02c10bcd0f0f8, 0x49883c08c9341738,
0xf2b5feb32ae187fe, 0x6ecc5e14c778cb64, 0x3f87fd93e64f5dee, 0xda2182c9580f8267,
0xe00aa84df80755ab, 0x85fc4189db75915d, 0xe3eeec60bb608a2f, 0xf837a0340af77ebe,
0xe53dce5ec75c7cd8, 0x50cdbb01b1bff896, 0xb5fcd383265deda7, 0x6628288aa932d676,
0xb80e0160bc747ce6, 0xf9d6ec305dd13f3c, 0xec776301fb36efe6, 0x038010de21f50046,
0xa544ebfc9a938ded, 0x732f758186bb6344, 0x97f506b12647a5ae, 0xb7ed31a650a155eb,
0x7da4d67730b426a7, 0x9c153fb31233e5df, 0x71b406ef7b1b8e6d, 0x549bacb3c315aafb,
0x6535f70f616d4f7f, 0x5ddc1992e41d46a4, 0x3547e4ae524d4859, 0x064bdc6dfc64f41b,
0xe01dc74278dc6417, 0xd7db16e4bd4e5bcd, 0xe5d42ec7791d8f71, 0x42b98a92a58db944,
0x92dae5d3231b4f37, 0x0cd0c91b3cf9dead, 0x41f9c69f0510ff38, 0x516a3aa8df57197d,
0xddbe0c9059b84803, 0x2c0289ce6ebc6725, 0x96ae36415f4126f4, 0x7c1602bab0f22a23,
0x378569bfcb1fbc68, 0x9c6a46d8686ecf2b, 0x71fc617cdc9efecb, 0x2a74bf39da0ff7e4,
0xeee33823afae2f62, 0xfa591bb0dd1b2335, 0x17ab2165d29696a0, 0x4b90400013c938dc,
0xa9b3d40b9d6110e1, 0xdbad6acb7bf9de11, 0xacb1a1775bc23161, 0x4fba68b236217116,
0xd97654ce38feba31, 0xaa2e546373c923e7, 0xa44442ef7c540bd5, 0xde7abb2e6ef6d26f,
0x73e4a47c3b1980b7, 0xb5bd2c144799f4b3, 0xbc6686128484799d, 0x8fed99e39663d286,
0x30171a6a383e1a23, 0xffd8bd559be558ca, 0xf00910862b7a1470, 0x886470f922b471cf,
0xf42a90c4d6922f9a, 0xe0e65b5cce61c367, 0x7506a3a58ecb7103, 0x030a3f4f865e9254,
0xc74576172bac8f38, 0xe07d0ed514139ffc, 0x6ee7360351d5b871, 0xc36e68fb175aa029,
0xb78fd72588c8ce8c, 0x4d2262ec66fd1c2c, 0x71d087160e59940d, 0x81b315613d76f3da,
0x2d07fb33f46511e8, 0xaaa1ca308dca5d77, 0xa817cf48b1eb132a, 0xfe0f97f0472a76a2,
0x0b06cffabd597dc9, 0xbf77aeefdfd14b9c, 0x48762cff0a40e19e, 0x5689eff225edd4a0,
0xb631345cea83f8d8, 0xe02818f70faddb59, 0x676ab534fe672577, 0x52085247b6eebd1a,
0xabb2eb1f5d1aaf5d, 0xf261c9da69ab7a98, 0x0a92ed4cf1640a60, 0x2b6b686273a8b9e3,
0x82f7739d23384a39, 0x089d7ed37d6610b5, 0xf159615161327d6f, 0x42e1afc32d9d5e5e,
0xf2017bf6018a082b, 0x64b692a5c33e2810, 0xee7c90603920bb75, 0xd57c3489e40b26ef,
0xd24d0ddfb23a85f0, 0x82a2d2dd8b08f1af, 0xab9f183893c4b3de, 0x18253a427c5ebaa3,
0x97d6ff753d374466, 0x10832a04f230200c, 0xb4f668dba53bb26f, 0xb14b464fa5fd5f3e,
0x749d3b51530c8c71, 0x9ad7e8fa4714b195, 0x5ab792dff70b9331, 0x6885e36cda049ef3,
0x89f6279b46d5b992, 0x06533680e4756496, 0x7b4fac7a4020aba5, 0x61ef8e3c9706c90a,
0xceb2aaf6bed362ad, 0xcd4fc12e1d88ba50, 0x657f8f0ac852c790, 0xaa75b507f35cd87d,
0x3f5c255bcc15a840, 0x3c3deb5262ac07c5, 0x98806d16aebe4228, 0x5e3407d96651df66,
0xd28356e280b59efd, 0x4ffd556a3699e910, 0x5b0145955d6c9bd3, 0x4bb63c3e5627ae71,
0xe249211d1aea852a, 0x89dbc36b34e29feb, 0xe3587ced0fca9b7d, 0x4c95b345a43e57f5,
0xd0fa2c0d4c32bf4f, 0x767fe0c9702082fd, 0xfeead6cd028c9df8, 0xaddc351d8a975a0f,
0xe12a4386968e46a4, 0xb3c8e9b1412b4bd5, 0xa46dbc415163adb9, 0xd8141016c331fc22,
0x8407b287b8e3ef49, 0x8e030203b6605de3, 0xff92723f624215c8, 0xec0d04f354187b1e,
0xbc851fa11a5663aa, 0x9916cc8ab0fb1a4a, 0x7e45bd0f23e259f5, 0x2707fd2b2c61ccd8,
0xb9712ae0570710f3, 0xf5c55bc9e756d801, 0x34a11080cd2b83a8, 0xcd151f3359e1c7d4,
0xfc64d7784ee7d42c, 0xe6540dc8225418d4, 0x6f2d09e0d522b641, 0xe833e108bf792163,
0x081808dcd2aad2b7, 0x73f752b43fe33e9c, 0x48f08457f4dd0bc1, 0x1c108a76247aedd6,
0xf0a38308a452c91b, 0xf5ce33fd5625cd76, 0x17b049b6f178a34a, 0x8fe94b4e4c86bd2c,
0xc8ae5e3f64f4130c, 0x0b64430df344de64, 0x5c4e3f16d96c2ce4, 0x267a6ec044538071,
0x19cd5c40f04fee03, 0x190b95907aaa2522, 0x081898ada943bf13, 0x256112ca5bde7cbb,
0xf3f9ef81364d15c4, 0x079dfdbf65eed65b, 0x2b30006177d32ebf, 0xe584dc9984077384,
0x41340a167edce5f5, 0x21234cd5b9d08fa2, 0xec37663b6234366a, 0x2e379b41de33d8fc,
0x6bc76d7b90db7b08, 0x755ae85383da07ea, 0x7d35c83c8e677068, 0xa998c5fd0746bc3e,
0xdca7a223e6d31ea4, 0xfbfe36d124722355, 0xee5af95c7ece7923, 0x338c1178fa5704bd,
0xf82b1b1504ae6e3c, 0x89394552c02f6623, 0x6f1c2ce702ab5ffe, 0xb754866aefdacf19,
0xfcb6fdec00f28435, 0x175080b1bb6a7c4a, 0xa0b548d4b93ec592, 0xda53c7eec16dcc2a,
0x710e11c460eeb380, 0xa4b5c59f3b1307a2, 0xf796264ffe6e2b25, 0x9c759cfe5815c886,
0xd765ed041a702d92, 0xdf7db56d650151be, 0xd4e4c6412eaa2086, 0x8bdcaf80a45d5ee7,
0x375be23e9a328196, 0x872869e151ee76e5, 0x0ae181edc59ab9e7, 0xc851492cafd1f757,
0x96d5cada42e77ba8, 0xcf2c3d67a7ee8153, 0xd261876db8cb0b94, 0x26e80f5dc8c0e602,
0xeb5d96b5c0bbb4b6, 0xcdf05b88ea104572, 0x587c877cdb82ff3c, 0x167bd6422f0448f8,
0x3388cd9e4908ad7e, 0xfd0ef48486aefae5, 0x9a1b9d755ea0fdaa, 0x5f7bd2b427417aa5,
0x59eebae112c291c7, 0x200d4e72610b7db9, 0x6755b2c42685be9c, 0x75515a0b0f648a7a,
0x98d502c0deddbaa0, 0xb0561bbcfd5807f5, 0x5b1ca5c48a34f7ee, 0x17325bbdf6c659fa,
0x69cad76e13d49b97, 0x6db4e139acfc1261, 0x462f0731f240985e, 0xbdd35c2b6ae2bdd9,
0x38c401746f686e69, 0xa3375aa966f6597b, 0x0331af7ce06cebb6, 0x5409b343e1eb2ae8,
0xab6d51e69d12c63c, 0x674c2dbe84c5c870, 0x69d394ab58d924c1, 0x3325e8d6d32d659b,
0xf9a3a84ca9d037c1, 0x7f6b27e2e2878c7f, 0xfc004c1ec135dbb2, 0xa1ffdb8a8ebb8176,
0x9a04ed00f9cc2e66, 0xb98ff91cbb39c793, 0x1462f86071db87a9, 0xc0eac4f4ea6b30ad,
0xf2f49134b43e1436, 0xc370f8931936a64f, 0x7b9d852bf8b50d00, 0x4edfd99da790719d,
0x2ff12982da305ac6, 0xfdd8368d2c0adbde, 0x00115e3ea4be0254, 0xdbffacf4eb40730c,
0xe38ad75138fdce99, 0xf5e7850d56a4e003, 0x993257196d043658, 0x95503cf966029f67,
0x23689c9b1a3d574c, 0x2cf177999c9af4ef, 0xae2c32f12205f9d9, 0x574de0e37c6b7c88,
0x78a8afabe6b2d06f, 0xdd6a2d80a9a7056b, 0x2376f8f9a2b52754, 0x6160c5fee51348b1,
0x20a318cd7458c874, 0x48f37465fc005859, 0x49b3207280c4bffa, 0x4f8ee277e21892f0,
0x63dbd578961696c0, 0xdd794100ed20a014, 0x330d304c3afd1f22, 0x9557b6fd1fb1cc3a,
0x0ae0e85dcd63ea77, 0x0ebcab4dcc00f616, 0xa839e7d9694afd2b, 0x0ceacc614a359de8,
0xbd19268dade01e56, 0x121b33331be7e9c5, 0x371feea5ebfbac35, 0x13949281c7c94de9,
0xc3aec0bd5bb9db20, 0x389c0270b5613a39, 0x02fa85f10c1ffd73, 0xa44e64c3e41eea65,
0xe877d950290abfdb, 0xe49782dd124d9dc9, 0xf3dc8a21032cd01e, 0xf20a9ee77abf34c7,
0x4aa5177e15fc5f07, 0xaa75ce560be57a82, 0x38dad4f3d2249aca, 0x4e9104384c74d0f3,
0x00d62508aa60b6d9, 0x496bdf56036e944f, 0x62da10dd30bbd8f9, 0x157861acaccb1e59,
0xc7686eee005fdbe6, 0x86881063b072906f, 0x267273cb7a569b23, 0xc5a733d9f71596da,
0x01ecb9e91d932421, 0x1071c7b321f968d8, 0xfcdecb42e044c3f1, 0x762032743215e3e1,
0xdb9815ac6e56ab28, 0x76518c8356bc0193, 0x7284107f42820171, 0x905390d72adac3cc,
0x85091fe4b98fe45e, 0x33eaf559079874d3, 0xce151f26e904494b, 0x79a296806ca41c54,
0x7e735eb3d64fbffc, 0x7d2994b3aace2643, 0x509fdd5b4f5502da, 0x54b5260a2f269c9c,
0x9c3b3fc85903abb5, 0x5d32c69a124cd715, 0x18ff8d2b8d2600fa, 0x133a04d3b63eb6b4,
0xf8046076fda2950b, 0x019a9cf0c7cda9a1, 0x4739b4f393663119, 0xd7a9897fa25f61c8,
0x74bbc610a675656a, 0xbff1f87f963466d9, 0x4f1a104a67167f41, 0xb414235dc1fa0392,
0xccd3a69d2e5a7db7, 0xd04ef93cb6149ba9, 0x4abb0f17eef19d12, 0x116e38e6bc26d4f5,
0x6ef4c0d0f7d45dd6, 0xad04036499e68ead, 0x8d36766959ec5776, 0xddf82e7868fed989,
0xa1c4f95f31d143bd, 0xc7c20431e10374d6, 0x3085cdb88e7dfe7d, 0xcd4e45c5134e814f,
0x3928df7666729459, 0x952221b37ac24ffa, 0x70eae01d6bc6814c, 0x7bf3b3c926b59b02,
0x6912711c73c40099, 0x74b7b127c452774c, 0x487de688fa263700, 0xf7f7eb4723f89ee4,
0xfa0d7ce654cf50b6, 0x173a0fa491298044, 0x3cb431296235b2ff, 0x35a47c0fafa5648e,
0x6602fbc3f8b4987d, 0xb8e90610fd126dbf, 0xb451552602f208cd, 0xc32399a43a4bbfd3,
0xe2b28b2d9a657d46, 0x96bf93d367416718, 0x277a2f8c21a5c41f, 0x91cd6817f29e6f56,
0x9e0ab8d663668355, 0xac4cb913cf9bf0e3, 0x9a714a8ee63544e5, 0x32023aca9a9e7926,
0x420abbd05557ffb3, 0xbf33f91590d0bcfb, 0x57c3e9d22a2f9893, 0xbef0306deb15abf9,
0x1d9d1fa99c39614f, 0x389dd8b38f179997, 0xd0c642e3f662f0ab, 0x8ae111b61e4dda14,
0x6bec8d8f02e2ea38, 0x537114315396945e, 0xa29d05afd17f2a69, 0x28bb1981ebb348c8,
0x53c74d3d4923a880, 0x81ae4405f813880c, 0xcd7878159be2f9e4, 0xb261482e8b0a77c4,
0x43b04310c6dca8b1, 0x6c6b72e057dd0587, 0x4fd5323a6cae0894, 0x787a3b7a98d143f9,
0x33275c30e096fa03, 0xa2f33956b8ed7358, 0x3f5611a025269192, 0x67ccb469b569d3c8,
0xe4cc519de140e2b9, 0x74d825f1cc0ad969, 0x609882ff7a7d4efe, 0xf3999457451552dd,
0xec0a9966a38cd73c, 0xdf2e09d5cbe737a4, 0x1bcd6e30dd37b800, 0x9a1d255293e141b2,
0xf8516f062012b17b, 0xa52dfa41756c393c, 0xd7f16314cb746823, 0xc348497dcbcbd9ca,
0xe24253cffdab5664, 0xa54495a5e7479269, 0x0e90de2bb508df0d, 0x31f2dd61d0fc886b,
0xc6899e44469aabe5, 0xb57c7fd64720f1d3, 0xefb6c5bf66f8f4d5, 0x3e1d4a6abe4f6a00,
0x0b910643b6e239cd, 0x94b0d6a1cdd618c9, 0x093212d61dede103, 0xda593bf228bb8d45,
0x04d48fb647e19a3e, 0x94a8187683113bb3, 0xe7780efdcccadf47, 0x597892cb5f39e7df,
0x79a38697afb51437, 0x9ad60aeadb42d0ee, 0x6bbf99cd2c902ed7, 0x8f2684d36c8dcdae,
0xa8be8718386e785c, 0xb4a0d5d260b1c6af, 0x4d1cf89405cfc52c, 0x0e16a1bd34f26032,
0x61d3f841354d7b5c, 0x7719e546a276a2cb, 0x0996c7c672760c36, 0x6c9120ccd7aa7f5a,
0xee5504e1ec78a23a, 0x68461a6d8fd02984, 0xe5806402dc4bb5c2, 0x34c889e638d4459a,
0xa016cd97a98017e0, 0x58073ac817a9ded5, 0x978db22b7424afbe, 0x534bce48e9dbebe7,
0xf95605185351fe4e, 0x3c0c6805aca0da01, 0x4a20b5efdbbce17e, 0xbc8e87ccf43cc8d4,
0xb02cc35858065281, 0x8fe079608ebbd641, 0x287ccd0c84fa59aa, 0x09df7772d487570c,
0xe2097fd4fc63878b, 0xe3e3b39d50c710b5, 0xfc94fc002df01826, 0x6370c3839c5922b7,
0x72cac6edbfa07561, 0x21d5d210f2ce876a, 0x08afc84c65087b1e, 0x2b6c3ce9b4facf5d,
0x79ce72ddddf98ed6, 0x2118a9d5718ea663, 0x9dc1da7fb2d1f121, 0x2ab7d6264e129b63,
0xeaeedb2970f4cbe2, 0xba3c0339c33a3bed, 0xf313ed94c23a206d, 0xfb93488880bd28ea,
0x9139c530fcc2190f, 0x459885676868ed7e, 0x0914b7d3bee447ab, 0x361a6a47ff2deda6,
0x63c272ad2f3a3e8a, 0xeb81d9da896e64b0, 0xfd5255554953db67, 0xab70df9766fb99e3,
0x3045e540ad6d2bc9, 0x118ff7e43de73ace, 0x132aedb7aa773627, 0x8cbc604da58bc253,
0xd0865d5c1fa63111, 0x346754e6444d8555, 0x2e9d69fa4cdc8c1a, 0x21c0810fe2e82e89,
0xd957b1bb7a293fd8, 0xa6c850d75a07e806, 0xf2e73a4313cc652e, 0x5b56b203bffee30b,
0x69c8718700b12d95, 0x57d7bb6ace06fb70, 0x656dee8f94227e69, 0x74ec5936de02820d,
0xaab4fbbf903e35b1, 0x77f818762d97d594, 0xbb69d5f758d452ca, 0x908e2df7157ea4b2,
0x449057d807f41fed, 0xcb6ac2f12aa07545, 0xa8be2722d28a6b95, 0xf8671ea7092e76f6,
0x925b50a22aa38ccf, 0x624eba124ad5a87d, 0x3ac7b1b2e6460422, 0x5e18e8e6e77342a5,
0x613ec3c930c8e031, 0x482ec7a3082e0896, 0x0d7a84e5353e1797, 0x5de2a00a176b65d8,
0x9eb6966a8cee7649, 0xf526ccc038ef43f7, 0xc29369890fc41996, 0x5e9f775597e2bef7,
0x374644c5e7bc0af6, 0x846bdeada430cec7, 0xc7b4bda64e0666c8, 0xe24917e9d33fe50f,
0xf584773618b9f9ab, 0x4f73a1bdae884a8e, 0x71fb850cd7d853cc, 0x63ef08ca54b99c44,
0xf9a85db320a3c22f, 0x6d0627b72d074ef7, 0xdac5d5de845ff721, 0xa2604a8b5869298f,
0x5682f7eb49f1ba4e, 0xace85e78a76350d8, 0x272f6897df79d9d2, 0x151746d5b9f7dc15,
0x88741c16d75e7244, 0x32dd2bb82832f4c1, 0x45ce6199563e9ed9, 0x6cf07ead5dd4aacf,
0x5c6b777802f22691, 0x1798686649e27e14, 0xc4db501c08980bdc, 0xa960ae87a3083375,
0xccf65a028ff15848, 0x2463757d986554c4, 0x1474027af782b551, 0x8e822f3b45f982aa,
0xf6f9f02522ed6e31, 0xe1b220310b6a6ce3, 0x128bc35d7f4fba49, 0xc7b3da87a3bdee2f,
0xe2b570ea49bd9e99, 0x2d5b00c0fd982625, 0x2ecedccd5fa00907, 0x4d3aad864c2e7ed8,
0x1ede941fe7133473, 0xab3dde2a21fa8df2, 0xcea088a761ec7660, 0x7a012f8a113194fb,
0x4ba7182851566ef2, 0xbbb9edf4a3175b7c, 0x5db5d154453c5e78, 0xf9d1cf8a354931d4,
0x683228f881cf7055, 0xbb7942d1a8f673ab, 0x57e6e68be4d29688, 0x7169c1468645bf64,
0x9ffb798c7d9c6962, 0x3826101e091418f9, 0x136015f47ff06c13, 0x97adcec5738d7b63,
0x126d676f0d45ce6e, 0xa7fba10da6b5b84c, 0x44bd57eb069e009c, 0x6721f2e295187c9a,
0x547160cf3182b14c, 0xa807dff9b3a34f95, 0xeb6ca6ce36820742, 0x6bfc1ff1eaf6d6f1,
0x526093199f0c9889, 0xc9f5cd3ca3f7f257, 0xcff422ea53b0f082, 0x0653e31de2bc9e17,
0xcdb7feae875f72be, 0xf6ecc1005ff93ac0, 0x2541a0c8e9719898, 0x9b9e0d49bc2b82ac,
0xd6fb1422cdb47d2a, 0x0c5d5f0a2f33fd1c, 0x816421b5d067b790, 0xeefde0023ac74e4d,
0x65267f5851f19c76, 0x3a328eb8db150775, 0xf59e0ccd25e19614, 0x2364a745ba132ad7,
0xfcef6a6fe9d5592a, 0x581669a8cf66f002, 0x904e1e3ad4939ffe, 0x3d6037d71d61f379,
0xe053b27b815d868c, 0x750b387070f6a4fb, 0xe3e2386ca0a967bd, 0x224faff36b421409,
0x7a223417d217e426, 0x4966c63d690bd388, 0x596f15dc2d80014e, 0x6ca22012ff7559be,
0x3632136a72b1135e, 0x19c0c8da9acb2c03, 0xbdbdf8c49f3f2eaf, 0x369a385adec88694,
0xc966acd4b4c5afaa, 0xb52eaab4552347fb, 0x50e7bc4835e2d0b8, 0x69bb697ae8083795,
0xad88fa20a5caa602, 0x8ee3ba7ea8763c97, 0x90e91a78284f9a7b, 0xb92bd1bd1e29889e,
0x1c8828b48978a4e1, 0xf9c2c7065cadd02a, 0x413564a6bf660c8c, 0xc2e026c6fe56397f,
0xb4c1276da5712e91, 0x64cbcad64f53f498, 0x3cc5f29dac77804f, 0x72deb443ce26da48,
0x1e13ab533cc1cdc0, 0xb00ba869f81da3dd, 0x27ee4146027d4550, 0x9fbdc389b05bf8ce,
0x3099d9d080fae68a, 0x431723c2090613d5, 0x4786bee900a827ba, 0xa9590dfce9851b97,
0xbca3016ba0950b1d, 0xf6ae4147435e92b1, 0x630fd1c0c317a3a4, 0xd5a1c1bb8c8d10e5,
0xb3bc9fc0575e335f, 0x3862682cecc697af, 0x144a8cd1f8b96183, 0x6d18b1abb0c30772,
0x7b05f3c6773cfe82, 0x7263348629b14cb6, 0xeed7b96a9aae65d2, 0x5bb0e463b322b047,
0x7a7913b41b02eaeb, 0x651b0fbe0c92090f, 0xfc22605d223c8669, 0x34747217c2faf57a,
0x4d21dbedf61116c8, 0x3055d23128bd3de8, 0xe86b221ab4df7c4b, 0xc04e3337fce58071,
0x0efcf24f8defce26, 0x2c9513b745d883b6, 0xe39c8ac4470fe585, 0xe07c4705b83ae512,
0x10a605249157f52e, 0x19e813b5e666979e, 0x8b1086bd3fae0b9b, 0xb5508680eb8b0571,
0x4f0a0d595f383988, 0xb0223823903c49bb, 0x3cb9b655bb49be4e, 0x452cc9f7a2ec2676,
0xc2bbf19945ddf5b2, 0xfc9a0dd906318117, 0x88b0a6e992207378, 0xe32a4bf390c02620,
0xf970efcd5d4282aa, 0x7c4296a98ac6fac2, 0xa10493197dc60cfa, 0x7fbdab67a87de5cc,
0x5a09559ba29ab548, 0xc42b1d1275f2a578, 0xb094b489c57abd00, 0xd93898d383308317,
0x1677a8c805d04489, 0x3fec2d7b062aef97, 0xea625c8532c3e30e, 0x4cb34b80c3f1508b,
0xb2484a9621b505ef, 0x5217c30c9cacd22a, 0xd2090c432c4bec76, 0x2194375edf73ff42,
0x0fde1c4a2fec68fe, 0x9b3667255fb45553, 0xc1ecb44dfd7406cc, 0xc4215ca1dd232ae6,
0x810fa41a02df5e0f, 0xf8ae08b7a4ce46de, 0x329ae07b7cc049cc, 0x52e3f1cdb3c8a14f,
0xfcb71af2d630965c, 0x9f1a6cf17e2cc7b1, 0x64a0a49aeff1eca8, 0x0e67a842d9a1bb05,
0x2bbda8b58c75abf6, 0x46fd1318eb1bb3b7, 0x2f71ec6a93e792b2, 0x519480bf922f29bb,
0x7f78634cda266a60, 0x1be77643a069608e, 0x93b6168efc30b8da, 0x12aa01a3c1187bbd,
0x8b1bc8cd7cf0b3e8, 0x34441eddf6a4bd20, 0x83704c39b1ffc847, 0x7d4f596ac3876fcc,
0x5b50c7c4a0e33784, 0x360ce82614fc6a57, 0x79bedc5e920fe657, 0x93aac902b115df7f,
0xb6e134fd159f25ee, 0xcfe73871ef4579e9, 0x0d0253d63b1e3ed3, 0x76e8c0db3137846f,
0xca8877ebc5cd4fc5, 0x4385c08e93083e12, 0x8d19fd140da61ea8, 0xe14762845751c57c,
0xfaa166142199cc1b, 0xf443e4e3ea1a6127, 0xb30d9f01899d508d, 0xebeecfb2ce48495d,
0xc82138006faec8d5, 0xd5eada50f9a8a0e8, 0x1148de082947f234, 0x5c581c85b683a06f,
0x15db1a44bf48f6b1, 0x3a2111ccd233afbe, 0x224683c0065efa3d, 0x7e3832f96d5d01f6,
0xfb7980a198a060fe, 0xb44362c8168191ce, 0xad7d6b14a8abd7f3, 0xfe5aff274aa1c67a,
0xb6e60ce8bcb3c3b4, 0x94869d20af096500, 0xa87b1959f91ae852, 0xb425434f366089bb,
0x667062aac308c3f9, 0xd54425fa3bd92ab1, 0x9339ed5ba656b7ba, 0xe501a85688d26334,
0x91702e9536d9b8c7, 0xacf2810aa8a9e8b9, 0x3636e2af905c0ba3, 0xae2e82f774d0a2e4,
0xe73b71f1e79d4854, 0x56ea2e9ae6ac12b6, 0x65b62bb6978c06a6, 0x6f39a9f8a2ad4807,
0x429ccbbfb8791543, 0xd7c1e15144f4aae6, 0xb0b026ef827314da, 0x0bb918a52be310cc,
0x64724f99fc51eb2e, 0xb8b0ae5ce45254f9, 0xe297f13836b0a941, 0xc2ea17281d9b1b70,
0x2c928f985b258445, 0x1cf17bd61f660b40, 0x17f1fc0598bab389, 0x8bc7c5618ee06d53,
0x2da1fda8dad078e8, 0x80662f2b688cd223, 0x4aaceef3546369f4, 0x737a994a67564597,
0x4e9ec68c991b35ee, 0x336cc487ad18a998, 0x0deb76bbffaada08, 0xa52dd72403192c7e,
0x53cea93187cdf6a1, 0x6831b92e592717c6, 0xfa7b796ddf9cb926, 0x341f33f10e90b77d,
0xb2841f160c260a38, 0xa93ce7aaa860192b, 0xcfa320105e884ed8, 0xe3c4f17745e83cad,
0xf4f82acae5dab534, 0xda336119c81cab70, 0x14e50724040ff8b5, 0xf0caba759c8e9611,
0xa52da2bf0fe2205a, 0xae5a5f4ee55136d3, 0xed79904198719de3, 0x3b89edeef6e685ce,
0xda21aab61282f771, 0xf9a4774787faf43f, 0xb1f9ca2d842e7775, 0x2ace9b8af82881f6,
0x97b47161652b55bd, 0xbf182b87504504de, 0x915131962a8788a2, 0x1c00b9f2111991d1,
0x4f45d80c2b7fed5c, 0x7979b7a78ddf8df9, 0xdce7f74513b23f9d, 0x6f90577c84c68ce7,
0xc879faf1f48d0171, 0xb5b26ef3ed96fc36, 0x8ce49b100d80305b, 0x69294b47e96f6566,
0x70dc39b7296166a5, 0x465b49f17b8964b8, 0x20f5293d1ff425f1, 0xa69552930b717ed7,
0x2a4b4e4d3dcba846, 0x42ed588de4a49189, 0x5c661c7ac8de3d98, 0xcdc15e47f4c25186,
0x21f742361c02d2d4, 0x564890f6f0a39b30, 0xdbfc98f6291afb07, 0x6b84ef3dc87fcfdf,
0xbf55f953cccc5e63, 0x333fb470f0b933af, 0x884728b501d1e5fe, 0xf0b3740105c69f58,
0x54ce6d3301d1d086, 0x881bbedb3ae61f5a, 0x0814aaf6af352dcc, 0x10dcb94852329589,
0x59b909df614401a7, 0x329d882df0303681, 0xd60207cbd60a21f0, 0x89758e996b566f90,
0x4ba2aaa99953cdbc, 0x9e80205927952ca8, 0x4f486c900d6ac698, 0x90527c8acf39831f,
0xb1ae20baacf84c6b, 0xcf915493e8c5767d, 0x11a7fead31d59538, 0x846c005bc70163aa,
0xdbb8c3288118a8bc, 0x5d6fe2aaf1762aa1, 0xf275925d377b6007, 0xee19ca724e7fe5db,
0xa7a431ea3405d2dd, 0xfde75946217c945f, 0x11b4ca868588fbb3, 0xcaa1675164bea266,
0x2c29663aefe147d8, 0x970e7171d65af6e3, 0xf5c457f0fb7dcc07, 0xf9a29dd9c3d2d88b,
0x317cb1d3cc05ace0, 0x1ef7bbb2aedd42f0, 0x975c5a0bc00da175, 0x1d5f9fd0f4c43081,
0xb196d8f8b941db0c, 0x4e74422ec71c372d, 0xe22eb62050384597, 0xc8057fb3328becb8,
0xbe4e0e5a5d2563df, 0x74b87e42dcc105b8, 0x2496d077c94dbccd, 0x9513bf4cf67c5145,
0x77dff44018c40b36, 0x28997be772a0b7b4, 0xb9db161611c52922, 0x5da72dbc41074141,
0x07e613c7eda72a89, 0x1fb26d9791443c0d, 0x6fa60b83e685c34a, 0x721b73625a18b6d3,
0x4fd8fcbe8abfc667, 0xbe71be35b0a81a23, 0x8b4ee76679d3bc1e, 0x3ccfb67406faf026,
0x10ec89c384505fd4, 0x448fb314305f58e7, 0x3dfed3c02cf17c71, 0x6a0c2fe8c05cf678,
0x6c9adbc4bc741ff1, 0x9b2484d4f8af2e60, 0x82bf4550a51de79e, 0x792ae8aab2d8aa38,
0xd28d08be14ef2ee4, 0x25cce0cef9ee514e, 0xc4971db048b24d97, 0x08e2f8e98930624e,
0x41add91310343f13, 0xa785cb576a4c33ed, 0x0be57b8d46d44abf, 0x1e37106e51eee1cf,
0xcbadd5cc65f65e25, 0xee6fbb2d0136f8f6, 0x1315474f5bbe9b8b, 0x85af2ca4d469732f,
0x99b61e48bdfcb4a3, 0x02d5ee1c36791fbb, 0x1569fa216a94bb67, 0xb6cb53e494c7ce5e,
0x2861cabc4fcbf60b, 0x5b192ce5eca8922f, 0x030f6aad9cadcac2, 0x7d4f0544264d4838,
0x97a00c9291242167, 0x9e79f06af0192a9a, 0x3cedab6937ae681c, 0x1580423bcad5dd63,
0x2ef7c7670bf23a0c, 0x9d5bd2f1b6e2dbce, 0xdfdd8667bbde784a, 0x02f79c7e8d9ac441,
0x23885dc9f26355ed, 0x8a38a3134155d591, 0xc7e34bb26866e7a6, 0xc524fd28602dd5c6,
0x37437aec3224a102, 0xebf061e3b1f64184, 0x97cb33662662fb3b, 0x64d43974b564ffff,
0xe71484dca0b94ad3, 0x4f43044d56d0a32b, 0x46eae24732f233f5, 0x75c910369aff78ad,
0x7da6d10b75443d01, 0xb2d76d35c4033d38, 0x67dc4f04f690885c, 0x131568cf02c74672,
0x52e8dc89161d9d16, 0x3ae7c7a732e52a57, 0x78e1b9697f4e59f3, 0xe8fa1fb7e0213b9b,
0x0e5b0049c96dd48e, 0x87956e1d8e2cafb7, 0xfd35f963dc92d855, 0xea5b4a4d12abe178,
0xcab6dd084a22cec7, 0x7ce15cc5d29a81c8, 0x77e589f161c1db9f, 0x7dbc1a6d4eb6a831,
0xc4cbdcb9d392dbbb, 0x3dd256e4426a08bb, 0x0e2a1efbfc685122, 0x453e49d291a4e930,
0x2404994f0995a327, 0x0e88f460095331ba, 0xadee07fdc43a3067, 0x4d877bffd7eb019a,
0xdfa2cbdbf104464d, 0x8d385d79012114d5, 0x81a48bc2fa460db9, 0xafa87103124a8e29,
0x244c694ded2aa66c, 0x1f1946781cddfd60, 0xaf1cd25e36bb382c, 0x7233672194a63a5c,
0xa8362d8a3be913e0, 0x44f5badace4c3088, 0x2d390e9563993ef5, 0x5d2fdde2930d6acb,
0x9596eb7ab5690462, 0x6cd352a166f8741b, 0xf0c8a52be85dbfe7, 0x41ce696fd14931e8,
0xde7e88219dc73aa0, 0x3580481fcd5929f8, 0x93ff41374fce0eb6, 0xbd532ab91db0e533,
0x864d1d294c4068c2, 0x332bebcfb1daf918, 0xbdbeb51fe52c2ac9, 0x7e60276b5e61d8ae,
0x16c60a00a12bb404, 0x963b9d3ea27e24f0, 0x387030fa925ef5aa, 0x52148d71892d7bb7,
0x82e47efd6f669f44, 0xdaaaeb054f243b94, 0xb38472e0ddd960c5, 0x7cc73f77ba78657c,
0x86a3885f7fd3c673, 0x0e087c85d93cee23, 0xa212f0e452d5be40, 0xffa4f4cd91b51a9c,
0x1f6c9b047e0ab63a, 0x903acce001ec5f1d, 0x42cbce91b1b9f1c3, 0xc6e45d5054463e25,
0xfee11e956d381cd7, 0xeeb4da5dd5ab2ad6, 0x7a0ac2090f09c2b1, 0xaaee43fd7f6c74d7,
0xd197a3134e3c0181, 0x18c629e2699f7f77, 0x2273479923b3bb79, 0x3759131c568f1ef8,
0x240b470664175a3d, 0x2e7b2c7ba7e26c59, 0xc7a2b4e1fd6535d7, 0x5647c73c92e3aa7c,
0xa1ab07bd1a95e94c, 0xbe89e0aa48de9782, 0x2fca24c421653e47, 0xdefa3b60dea5aae4,
0x06d4a3e1374bf6cf, 0x60465c2b532b1ccd, 0x46d0f782118e3feb, 0x30b226b6eb8247fa,
0x8140b8a2823759b5, 0xdad89a33a0d02c2d, 0xff6379c997b33234, 0x9145d90c8830f2c3,
0xc533ff7c8097e665, 0x37d2e089ff79ad90, 0x8182338df9cc5fce, 0xa9f43cc3aa42aa80,
0xe61e03931606e3df, 0x8b3ee0a38fcf0e3a, 0x8b5078cbf5559735, 0x6109da7d2f05121d,
0xc955d5711b923fc8, 0xa4baf0c235419a63, 0x094eee1d4adcac6c, 0x39d22478ec6cb36c,
0xe34397f46adb768d, 0x0723d49866e10282, 0x510b1c2ce93c3762, 0x68084ad1d611771a,
0x2166a2cca108c67d, 0x8f46da440b793e67, 0xcfe68e151ff413bf, 0x23a65d54ac8809f8,
0x87e2ad6a5e9a6f52, 0x7b88e1ec0c75a5eb, 0xfc3081463247998e, 0x9189ce148ca1c8df,
0x540bf3a145fb795b, 0x43c937c1a90116d0, 0x75a699ae4c51c62c, 0x67b39972366a135d,
0xe4f2cb4036147732, 0xec852a3a7c4d7c4f, 0x91f382e542ddf515, 0xd92ecc8ecdd0c21e,
0x8ccf49a93fb6c4e5, 0x39b48cb730f5e26f, 0xfdc93778858e46bb, 0xd8c9bfe9cdfb972d,
0x314ce22df1a38b30, 0x694c3f4fa03b9543, 0xf37aaec4c12c6be0, 0x13bd201e6de19020,
0x9685e7ac2c83bbf4, 0x3e44dfa771b2105c, 0x9b794fb251eb7d8f, 0xd3344ff200d8de46,
0x99c002b7e816074b, 0xa2939cd29060f5d7, 0xbc0fd37d91c28eff, 0xc66da1d671234729,
0xa5521d4258c8b5a6, 0xe9b203cb4f897063, 0x9aed1ed067b8cfea, 0xe14e53b2019f9d9f,
0x5ef7af36bebf7bfa, 0xefddb95022ed0f51, 0x2d7e1e7780b725d3, 0x182c9faa056cdbc6,
0x63c1fc15a7bd2a54, 0x516a95f2ba040192, 0x79108d77ef69130b, 0xc7384a218c3a0dd6,
0x256396790b34da2a, 0x490959200fa176d9, 0xb69eaffaeb202d9b, 0x7ff84d1cf506383a,
0x50048a2fd1015e1a, 0x520514d2d61449f8, 0x481bc85f1c695827, 0xd8e7aa31a21acb9f,
0x901fbb7b2edd3c1d, 0x130da25ab14db223, 0x9912c245889ac947, 0x43c69865875b319c,
0x59615cb0ec2a60c5, 0x8dbacebfca89a39f, 0x06483d9be414e0e6, 0x2325fe656bb05124,
0xae4847ef71c44a21, 0xf7f7add047a5c5aa, 0x9fa1ac7dfc60725a, 0xe46faa355308cb56,
0x9780850af3f57f56, 0xa87c3bfe263f38f5, 0x37cff25eac08ebc7, 0x53f287aff127ccf5,
0xe5f1e3859183fa76, 0x91b83311f18e7619, 0xd6fcbd30444a4e01, 0x0cdfab2c1baf0d4f,
0x1e17af95943451b4, 0xb24b06a876daec08, 0x1ca0ca381373143a, 0x38312229094b9587,
0xe8a5d548ac56d69d, 0x2bb4b98778bdf780, 0xe6f6a2cfebd4cd82, 0xc0b74dd8cb51a469,
0x813e7401c20b5276, 0xda08ff30b49c7cb4, 0xdd87ba9a5a494ea0, 0x25d8dd5a1ed19d9f,
0xf786b3d56d76ee8b, 0x6337fe12913b8b49, 0xcc048655757ee4cb, 0x8e804f8afb4775d7,
0x2d6757369b2be13b, 0xf64204708875e7a3, 0x6a0ac8f1f93fabce, 0xd7c867f405658052,
0x3f8ba8b988ca8bf6, 0xb3580788119552ac, 0x3847213008fa9c35, 0x558c2e3581c5ca18,
0x37692098334c777a, 0xf1bf582dfed8fe37, 0x47f42df2adde9772, 0x77b172a47e6d6398,
0xcf679e65c01d4bfd, 0xf6b6db4897a38592, 0x79b67cf3f8e4a556, 0xaaab94e52ccfd931,
0xa6566b80a61da572, 0xe797ade632065ac8, 0x04bcc71c99e69400, 0xf13fc369713cc54d,
0x77bbfd1d5628b1dc, 0x782946c1fdad04be, 0xda92eb4fa9f22ca3, 0x6c4e2601d509f661,
0xc3762d7eb3d89986, 0x8f50130966a6d53c, 0x13d1827323197333, 0x9598c33944f0a49d,
0xde761bf5946efed2, 0x3ccdf95cd2c975f4, 0x0258ff5ac03da83f, 0x24e77a62babed354,
0xff657fbe14224a93, 0x0b37a828b9cef567, 0xfea69b14995efa72, 0x3b800c74d47e38be,
0x0b3455e2c673caca, 0xb7e634e980d9607d, 0xfd23af57858bd5c4, 0xcc149f3e9db9dab4,
0x5eb0bc53336307c1, 0xd04a63edd46de8f6, 0x747d65a62939041b, 0xa8abf10a80d964c3,
0xfa57f51ea6de4a6f, 0x00ba7036ed7dc386, 0x4b571ff391c8eb47, 0xd0c7c9fa3c0bc401,
0x69c6345c903d9daf, 0xfb9d313329ff0b5b, 0xd2c1bf32732b9420, 0xa98a78e331480ef2,
0x75be0f695208fd68, 0x317380f8724e7679, 0x5fec9037ac0915f5, 0x512f36dac61d3f71,
0xc1b526d21f12641f, 0x0d0728016f1d597a, 0xcd8f9a2937b1bce8, 0x835a5f03df3c9089,
0x19ecb49b43cc71e0, 0xdb73bd1fb71682bb, 0xf9edadb8c35dd680, 0xb898f966f9e0be14,
0xd11cf62c0b0f9da2, 0xa2d567b46c96e19b, 0x5f1a42c3152b0598, 0x8ce0467bc0033b56,
0x1f10a87eca72ec57, 0xa720b3e18034c4b4, 0xca3288601bd803e5, 0x280718c1b0eb270d,
0x45e3b3378320e53c, 0x38eb8ff616dc1844, 0xde777c0917d6e048, 0xaaac9b8dac1fdc0b,
0x1f054466db74363d, 0x3aa721dd755e0f89, 0x30e1aea711a061b2, 0xdf5bebe55cddbf93,
0x36216e4430e1b438, 0x52c9f096f0eac8e7, 0xd8a841e76298a9d7, 0xfcdec447c5c419c1,
0x83b63d70444faffc, 0x4cb47c5e4736bc3f, 0x76832cc3b97b9d24, 0xe067ca46b2ae5e20,
0x8f60c46b8b8277a5, 0x660bb513581819ec, 0x2ced1740f6e6cd00, 0x8f40063d7d49a605,
0x772df024ebf00c99, 0x17615b186d086035, 0xd6491375b0cc892b, 0xaa407d8cd5ef6418,
0x51112b32b13cc2bb, 0x0df85d5f1146b42e, 0xd94faa35f3665250, 0xb47663f6e4e1b79a,
0x60837eee56f62150, 0xd6bcd6609f280fcd, 0x6da80abf4670377f, 0x97d02dbf9b5988c8,
0x0e12dcd7b0ae11dc, 0x7606baad49b96b2a, 0x1826be922d480024, 0x09baf41a70440458,
0x062603cc9fcc2750, 0xbc0f406b1b76b0f2, 0x36ac92b0b5841071, 0x0e4d9da31efb6ea6,
0xdc38eac21cf59f32, 0xb0de4e96651f7c81, 0xe3c090b2df99769f, 0x26639c4c369c4243,
0xbe07f6ac649612ac, 0x8d4325000f2cf6b9, 0xa89e32a016cf1889, 0xb289048d36228840,
0xca508eb623feabd7, 0x88e02ec2516c18d0, 0xc2fc805027291101, 0xaa1e81b3a731a75b,
0xb4c70a59c69a0785, 0xa63eb20b72573d90, 0x7fbc6149926a48e6, 0x20d5f628c85c4d72,
0xf3c743f2657929b9, 0xeca9e116a681142f, 0x38369a1159e6d895, 0xb4bf146f16878ba8,
0xb7b68e4616bdec2d, 0xc84101d01e8096f4, 0x675fbe286128ac25, 0xb9edafd8e7ad4f26,
0x74a20cc86281bd4a, 0x4a466960c5e804b1, 0x8a149687ad2b7285, 0x64b9a06d8ab0f22b,
0xbb991bdd6eb514b2, 0x4de3fcffcd428b8f, 0x2464484e3fcf6d11, 0x03958b859f2fc0c5,
0x89a394c6c16f24d3, 0x5b161805fe71982e, 0xc391c4bb906d2b35, 0xcd7241ceec63bb9c,
0xf1c314f6ac195b52, 0x8995d87e707fa1b7, 0x54baf1d358fd49fc, 0x3ccebc83ec88d7bb,
0x0f874698aa98cb61, 0xe43d68c2164b1e07, 0xcfe503d8657632eb, 0x428c670ff6126436,
0x0b9baf2d7a465132, 0x755737d4ed2d549d, 0xa824be4c7bb705e1, 0x95858a2818f035db,
0x607fdf6d0971b06a, 0x7bba426ee3884444, 0xd7f10a602b1e59bd, 0xa16f3f1d79281aa9,
0xb62374200379ed8b, 0x6e5fa3e8dda32580, 0xc6273eedbca700da, 0x805f27f6f93c1270,
0xf6321aea00309f31, 0xc71dccef85b5298e, 0xe646119436e8c4de, 0x9164c94f72d4d384,
0x55ac60a41c4a98ae, 0x19dc3da7485b4dca, 0x38c4162c44976caf, 0xee7395d903139138,
0x29c31eca0be80180, 0xc9dca3e61542822d, 0x5df6c961c92088c8, 0xfa80d04cf20097d1,
0x99f0a9b237f645f2, 0x36aa4b1bf2372ba8, 0xe9c2736c11193517, 0xcd62644a1f66d4f3,
0x53340648851b2b8c, 0x854a0fea838faef3, 0x13f3ab9f4c6ec43e, 0xb82d4bcd2941cbbb,
0x26d085d6f2c0263d, 0x65099e06102cc17e, 0x8c6c6422199400db, 0xc6552aabba8c5acd,
0x1dca32d98243a4b2, 0xbf6e8dc24ce7daf4, 0x9f791fe7dba0fc1e, 0x8ca23ea314d70f90,
0x3aefa7b9f4901e59, 0xf69e7b03c46c4a8d, 0xd2306d5987d5a14b, 0xacdc21d16202078d,
0xdf425d3756fb471f, 0xfe8e7bdbb7009a91, 0x4feea68ed3dbdcdb, 0x9193630a62694bbd,
0xb0fd4b4c920bd48f, 0x373515f1b4992ff6, 0x71924ade1955f80c, 0xef830e145c0397ed,
0x35af4208735aea5c, 0x1ca603e1582e95c1, 0xe292fc34368ed5da, 0x96dbc7f046abbfff,
0x7cca2d61ecaaec9e, 0xcdbab55ac0c9bc9f, 0x95621f83d8755585, 0x7660c6def794c0b2,
0x99da48951632ebfe, 0x387c2fca00e09e73, 0xba761acca450f79f, 0x4b45f361c444fc88,
0x38f3b92b86abe63d, 0xe44e18b5d92f112b, 0x9a3782fd954fc7cb, 0xc37efa5b713fafb5,
0x42eeb1b69c8def09, 0x95cf4b8defba9377, 0x0b8ae887246cf645, 0x3e32667467064a73,
0x34d819c823afb687, 0x19d0f4c3ef8e299c, 0x5e470535d9523234, 0xbf03e5bde23d85a5,
0xb98a764d0151e671, 0x97f0f80bd63bc9a3, 0x488d3af3e3bb4fce, 0xc4eda71a90d4dafd,
0x23908d0c7c6081f8, 0x5583c6cde544764e, 0x9c119dbbf8f7d2d6, 0x1dc9d1fd7a040acd,
0x7fb889a1688fcd70, 0x396a3b776709a8ff, 0x987a8497c7ab08b2, 0x02d9e487a6e0c28b,
0x830aa7338c3382bf, 0x7795154efdb9c497, 0x9e344af73ddcb490, 0x061cf4d028416c62,
0x4e59fb66ade94729, 0x2ce7e175f4eda33c, 0xf3d7481866d57df3, 0xe47b85278045db6c,
0xbd886f72773d9236, 0x0ba218015ae0c02e, 0x621afa8e1bdc9ea7, 0xf25a08ebd5aaf451,
0xd19dc33146c657fd, 0xb560953b5604cfd8, 0x8c2146bf46350377, 0x9a7ade60831255d5,
0x402d1e2a680f5b33, 0x3d96f3388d24d1ff, 0xb4db88530a32abdb, 0x974a344238dd4793,
0xa36736a076cae2fb, 0x1c98f3004c9c0d64, 0x1ef88f44edc13d42, 0x590c42eae2c64122,
0x25672075b53dfa43, 0x601f7dee29820ba7, 0x5d6e0cb216306637, 0x5f9bbf3d7b7c3fbe,
0x6795a53b4f3e1737, 0x20002e8aa88cb6b1, 0x1cfb6a48ca9dc709, 0xe24f387a2c6c2a1b,
0xf7af223d9c79a57c, 0x50612854876564a6, 0xd51c43874406c5e3, 0x77b87dedc58b046f,
0x6bdbd07949a0e99a, 0x20270594ac02694d, 0xaa1446dd1dca6ee9, 0x0d8fe41a9fbf3c8c,
0x99be8b1545396d5b, 0x4f39635dd99652b7, 0x43bbfb2bec8bc187, 0xce4789c1e735be90,
0x36981fa7233aa06c, 0xf5d1e8bfd865213b, 0x057a529eb951bdb6, 0x106fcebcb38d2109,
0x61d131f362084247, 0xd236b1376dcd11df, 0xf1cca70aad94154e, 0x85d3d9bc0b853958,
0xc84a3066624cb409, 0xdca5e985a70f9c87, 0x789160ae49f8b5e0, 0x2e4c503cd55eca5e,
0xf07f6b15f4f89cb4, 0xee03452169ee2f68, 0x7340761cedbaeed6, 0x329306166ad8e41a,
0x32d4eaecb8b4fad5, 0x0e46204839ec8b8d, 0x67b7ff2bff382159, 0x1407e69b569f826e,
0x4fe4ac790df30a9f, 0x701117666ce619b3, 0x2a00503d24729ba8, 0x2ffbde4adc505ea1,
0x0e8e75538d746cf0, 0x100a33595f1ac082, 0x537ebe7016b7e1ba, 0x99949be7136ac56c,
0x8167bce74c6621a9, 0x2752080060f9ab76, 0x3096a9f374f385ac, 0xd0674caf5a6f1cbb,
0x27002fed7eaea9b0, 0x1679b5eee6b50b25, 0xedc20d513c2f32ef, 0xf2ba508181c85bdc,
0x6efb4655eb1043c1, 0xf40aa347947531e8, 0x4dde175551aca7f7, 0x61df266112ca688a,
0x59b0c837ffb81c6d, 0x16d05f0e45822a65, 0x6daaef7bc9350c4a, 0xaf7a6c87f6393c49,
0xc514e433645537e7, 0xc3f12aee7e01d0d3, 0xcfdf9722d0028722, 0xd67b6741b2f98b20,
0x5ca31126d24beb6d, 0xd76635268fa0198b, 0x1595c39a2a50650a, 0x5354c6fdabca5651,
0x25f36840eb3eccee, 0x7250161b5133ee71, 0x36dcb5f0eff058f6, 0xb5264dfa74b1b0c1,
0x5e0a94b8e3882037, 0xaccf1a937f141aa1, 0x82dab4e4abb51083, 0x375ab20edfda88bd,
0xeec79d35ddd69de5, 0x9052f7cd99b2c06d, 0x0ad859c9fc8a9c8e, 0xb6b3d3b20702e798,
0x135f026dd2fbe058, 0x3eefe45553dd0085, 0xf732de799b8c8c4c, 0xbd4911769e4eebc4,
0x3b18ab8b4c671c4d, 0x47e1e3589d47dad4, 0xc2a3e3277c608506, 0x56dbdc58c8d56898,
0xa8357d850096288d, 0xcdba049ef091ad4d, 0x1bc62190aaa1e0b9, 0xe5097f207a3e1ad5,
0x089ce2191c02708e, 0x6474d72b03828acd, 0x4aa39f11005a1031, 0x05c067e5a388e345,
0xe9ef6c784ef2267e, 0x751941aba1778cbc, 0x54d94a09de663b4b, 0x2cf11762b4b5a7a9,
0x49c82dab8abfe606, 0x4ced20152b67af61, 0x3bab3edd19059a1a, 0x2c0076a10bbc2833,
0x089a9ca50c5e14a0, 0xac6fcd5f9df3311d, 0x567eda14128e22b4, 0xd0226172579a152f,
0x142a67450a1c4545, 0x681f8901ad715533, 0x0d06f6f9da1ea9d7, 0x661e31b7a718583a,
0x271b2ebf035077bb, 0x651e09e8240fb017, 0x91f95eb3a1461485, 0x00b44c6d06d9a2a5,
0x4f19e198b6901ba5, 0x86d580c9ce49ced7, 0x664ddc7e92ac5622, 0x40661be1707fc4ed,
0x6cf7237eebc4886f, 0xd6f8133e42703588, 0x9e7d06d19972a6f1, 0x09c05542bde0da74,
0x0fe5a1b6b82799e7, 0xd35efc393ae0f23e, 0x8bc4251286cc1974, 0x297500ea151e4d6e,
0x3f32a5df428cd8e8, 0xf8bf933bee1b2201, 0x16597f18f267d6ed, 0xe710d43c90673b39,
0x25f02d8e20850744, 0x2957f8a732b10d76, 0x976af6e29dbde167, 0xb7ce41c9d36d12ac,
0x20d1505761dc62bd, 0x0dc3ab4900cc5b19, 0xa589e0bcaa247075, 0x531cbd93b7a7c44f,
0xd50c8e5e438bb1a0, 0x1fd673b978cfb9ac, 0xe80ae2d54787bcdd, 0xb56e14dac275d28b,
0xe4fbddd66fd370cd, 0x0135b63537932984, 0xee872df90ffec0a0, 0x0859ba0cb6430855,
0xc5e177664b02af91, 0x5bb286fbe4699249, 0x815884bd47555df9, 0xe7d70ccd2fcd7628,
0x2a8bdca4ada2a67c, 0x19490274aa037759, 0xaac2c469d76c0089, 0x2d1d5ec1ad0b1373,
0x0cb208a497828dbe, 0xd24935af0cded5bb, 0xd0dd4c04dde0e35a, 0xd2733ab7a3acf6a9,
0x0810fb6ec6828899, 0xe978d4cfb5b9a19e, 0xb5700d40a394ef08, 0x3778e05853b99e8d,
0xb7efec0672a23a8c, 0x21b07b71cbc78e64, 0x9c6fa0dd0b685cae, 0xf8a02f1838c60b49,
0xef4e0b62f291bc4c, 0x523347cee91766e4, 0x9b8a4c03c8153b2c, 0xdbfa8a07251b1ace,
0xa561b66923590668, 0x16950e8116f9b7f8, 0xf00c290190d3ff7b, 0xcdbdf6544c4c5ed3,
0x24453422dc520ee5, 0x4e71767b2be83239, 0x7f46f609661f759f, 0x7574f2bdde733313,
0x6b7f973a8dba93c0, 0x700e182a24016599, 0xdea646d384cae0d9, 0x9a9357b8a9f54e04,
0xfe8e415c52016a26, 0x956d0fe2a10d88d2, 0xedf6b31e2e72da87, 0x5d52ebbe1c9b1ba2,
0xcd871a427910627f, 0xd78db306283b45b7, 0xc1abeb3ae57fb02d, 0x575005bdf0c0f425,
0x0b80f1f9a0d59a1a, 0x700b4038b771a281, 0x59784779cb70c918, 0xcfe52f015cdf968a,
0x6e0e2e19724cc02d, 0x7778d905899e2226, 0x5f8fb412a6cb0bc0, 0x931d2d762aefd6a0,
0x9fb0d1a3ea23a91f, 0xc03890ab5cef7d6e, 0xc119ebdd4948d76b, 0x42a92c0a16a399f7,
0x79617bf36a202312, 0x0ca2499ed9919300, 0xb360d811a987bccf, 0xeeaac9eccd5507df,
0xb172bf14cc15504c, 0x440ee0542baf8b80, 0xc3c6e37104a19598, 0xd4e7774647dc769e,
0xae71865543746ca2, 0x58f89d86cbcb22d1, 0xab811468ccb0e740, 0xff9fcf3e368bca81,
0x54c4a4393dea48d8, 0xf02ac04aba9ade99, 0x905d161c2188bb90, 0xeaf1a7bebe6f03b5,
0xf38bca616d7f9bfe, 0x8525c10aa5f50eea, 0x292c54d59f0d9bf1, 0x78f0b1b1f371ef23,
0x91fa38ecc9dd5ea5, 0x72a6fd65f132602f, 0x8e7483cb1639b1db, 0xf47e80cc11dee983,
0xd51b087fdbc0610b, 0x22a3eb273c3baa35, 0x2920b1dc0d718938, 0xece5cf9caf6699f0,
0x40206488fba573b5, 0xeb2cc57dd37bac0d, 0x26eb9b8dda7cdd66, 0xed5cd452e785584a,
0xcffedc5cd3565527, 0xb79e3deb7a340c8a, 0xe01f37c73729094d, 0x3e5e17ff62f06df4,
0x5500ed0148226012, 0xc754484b4393c7bf, 0xb7d032f0805520ca, 0xe386b8d51e460132,
0xdd5e3d0b1f520150, 0xe9296af3a652983b, 0xbe721beea5067b12, 0x5674fb4d39f43784,
0x99686b64994cd3a7, 0xaf80e8de9b71cc99, 0x0855c005a1d1e765, 0x6f12a6f0c2ed124f,
0x1deab1710f4dd43c, 0xc7a1695f21a6f5d6, 0xd8ba05ded95d00e5, 0x94fc77f5842f5cff,
0x7a01dbe295fe2278, 0x3861c5d888a1786e, 0x78136a63e2507e7a, 0x44e19ea5d0be81e3,
0xcf3638c994ac39cc, 0xca7d29075ed949b8, 0xfffd73ab10719179, 0x0c0786c2004ff8e7,
0x8e550eae7ea4d2f9, 0x369bbe11b7793d8d, 0xadb9dcf0ded8d287, 0xf6564061966d8df0,
0x40007e2f668869f4, 0x89ecc996bbd1fa1f, 0x17243ed53072f0aa, 0xde05d87789ecfd1c,
0xdf3a02709025ebfa, 0xe9af6a5ab217f05c, 0xc9e2e2897c7d4155, 0x2e6a0ed7b78e6949,
0xf2fd442173d7e5ee, 0x95e551cb26d4818b, 0x78181b7f88fb21ec, 0x8a2306fde58644d4,
0xc4169ba7990149b1, 0x50b2403cc17f99db, 0x780bd6573b61582a, 0x8916fc82bd75715f,
0x79f0c0167b1ebf83, 0x5e6c0c6f40587f5b, 0xd617b957d687fc5c, 0xf3b8fd33f6367591,
0x5aa436da519426ca, 0x56ac7eab2c2564b5, 0x3d07941ef30605e1, 0x9bfff7347fcb4284,
0x82ced7ce89d608b3, 0xcd11ac44be2a9e55, 0x648ec33bf5d0c40f, 0x6668a6846322d18e,
0xb4bbd5d87bfb9aa9, 0x9ccf30f91f654829, 0x2e78b20621b64b33, 0x66110106bc7aac37,
0xd874f7285f04a246, 0x7b3fd95ec30db1b4, 0xc850ef605c8426f8, 0x7815adf69e763e99,
0x2c58ab20d5ba27cf, 0x7c2fa05f78893615, 0xb0285f230f9b90d2, 0xf4abf33b340da595,
0x586b16a5c9d7c76a, 0x7675388529313c5d, 0x6adaff4b1bc68c0a, 0xf09fcc58437717e4,
0xfd9821d19d28a6ba, 0xb3b1202bf4d4d793, 0x92b89e9863cee0bf, 0x1ffce81f602a13b3,
0x840f25dcae9d589b, 0x8fa8bb0f876110ad, 0xa9b0c1bd8a5e8a2e, 0xd66835574190fcd3,
0x3cb7cf9fa0a0f07a, 0x186f9eeb4e13e68d, 0xfe803fbf6dfc17be, 0x38aa2e7ca2465215,
0x30f2cc949c4104c2, 0x8d200731c746319b, 0xb7d7003ae11eda3c, 0x38506c984d3a0309,
0xe1c6491824c66794, 0xc73e54f2c9c14767, 0x8a7e2ca9d5481151, 0x893fc892a8079667,
0x433828fdee415bbc, 0x8fa1b4b2d8f7c848, 0x0c5a1011a064f996, 0xca5421353702182e,
0x43841debb3a70963, 0x19f640bb488a312c, 0xeb69965a01560873, 0x460d3cab23466c13,
0xb23554017c3d6b78, 0x39602cb82cb04c7e, 0xa3c5272478279b4f, 0x58bdbf706a74ade5,
0x85ec70da3633d1d9, 0x117dd59b79626827, 0xbe67ede736a0b3d7, 0x9cf5b071c402c1a8,
0x6a1e84c7bba1ff3f, 0xadaf457198e6753d, 0xe10205f6e8c05cc1, 0xc1c9ac4e3c5d729e,
0x92582d8f2db2342c, 0x3fb3cd2f8c8b55c3, 0xe7cce95f69d2a33c, 0x3089390ea5879321,
0x1eb6a8936400eedc, 0x2890ce537fbdbbb1, 0x2cca7dea90ca2584, 0xcbe564c4ff2d3dd8,
0x027b16242817fbf1, 0x5d7becb82bc3619d, 0xa183e4dce6c2a1e0, 0xa4301207d052a562,
0xcbbaa5eae852d28e, 0x9539e4fb1daf9525, 0x4d4598d994fb734e, 0xe1d0cad3d78a17b3,
0x55bfdcdfb65a8aa8, 0xc82555359fdcb348, 0x9135a05a24efb347, 0x70ce9358da719063,
0xc651f0f2cfc97d43, 0x2a9bd238779e179c, 0xae2fa722861f52ea, 0xb66505d290d90eea,
0xb0d1a90f4008b121, 0x7cac97ee252cdc27, 0x1d94839f58bcbb4e, 0x11e2527ca193a533,
0x97907d982dcb5b0c, 0xe2d142bfded54991, 0x77162a02db980573, 0xd90c6642b503159c,
0x1885adbcf1515aa4, 0xa941777095b695d5, 0x4d698071a17b153b, 0xe11cccee0f7542aa,
0x22538898df0fb857, 0x65e233a375e76a1a, 0xa079e239db1478b4, 0x7b33d7f0c9c6eb1b,
0x726f2d8fbf45fff0, 0xfecd76d173ba35fe, 0xb3a8967ef36cfb49, 0xc5d9f703f7d509df,
0xb3ab36c8eef477fe, 0xe84c68dbb957597d, 0xa7e76322d8b35fa6, 0x88c80bec280e3fe1,
0x07f3e5108e2d8da8, 0xde9cb039b3762596, 0x1d1acbe0dd3c9748, 0xac6ca3cc453fa9af,
0x057ac800f2ad54cc, 0x57006358171b2096, 0xe76a98a2e6ea2966, 0x0ed88ac00b15adc8,
0xd767f633d3649bad, 0xf86f57ff08c0079c, 0xed6a17751802166e, 0x09f5f561ac302ff8,
0x33dc072b372f64a8, 0xaead1a02891bfd56, 0xce53b1a4834b2253, 0x82fbd8982c006436,
0xe0fa2e82f60426e4, 0xcdc732dac6e88e41, 0x99bb6a8966973b97, 0xa4bd5446aa480d1b,
0x500ca9cb7e493ea5, 0xc12d766e94e16b32, 0x0b9ab609d2e2361b, 0xf5e2581360de01e5,
0xd858383309c178d0, 0x24625a428927e6e9, 0x8afe88fd23e26c5a, 0xaf3e936ff1b0fe3d,
0x29aea6dc67ddccfd, 0x0cd1d0591ffdc3ec, 0xb7c2e4f87795691d, 0x1db6a33ffbdebf08,
0xd41c06d2ff34ca2e, 0x24f99d2668765759, 0x3ff4b7ac7a822aea, 0x58eeba464d861fdf,
0x5eb7381f00826fe4, 0xf9232ef5e3126145, 0x0f1885f10b4a1089, 0xe0ec889277a9d93a,
0xa524af930dc87100, 0xa9beae59a0cd0399, 0x18367d49595e780c, 0xdc2fe288d3fce039,
0x1a468c82bfe3c965, 0xbafa8efdea2942d0, 0x089c7e1d53f9b84e, 0x6241ca20b201f56c,
0x2390d9e811475c76, 0x3512aa181017180b, 0x433437881b926f2b, 0x79d3de4069f86308,
0xcdf2efc517b28c3a, 0xec1cc28523ef0b46, 0xef94066fded0c024, 0x98650d2aab484a04,
0xd246289256787cdb, 0xeb76d5341d6a7ff2, 0x1760287a41813922, 0x1dbca9910706b6b7,
0x7c60d555360aaac3, 0x132c3b511a430052, 0xd8e58af0980516ad, 0xcdbe8409d927895f,
0xd17618bdd22969e3, 0xd73f3d6b7509db9a, 0xcf2d0613cb90308f, 0x551ed304bbe87e24,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x57012b7623513003, 0xb9d53d3a262981fb, 0xe59152cde65c47e0, 0x9e923f46001294a2,
0x5c7e821de003ecb4, 0x7a0136fdb5c08b9a, 0x1f739b028ab288d8, 0xba787c839e8e6241,
0x2ea81495dc7e14ba, 0x4e693ece3030a628, 0xf0dd79876eb1b895, 0x83758ece660b60f0,
0xec1d55458d59179e, 0x59365825e63ff5be, 0xca9a4796f743eb07, 0xe4abe3091e998f38,
0x6f16fa584f945f41, 0xb85f2f62f74e53d2, 0x851ba3f9cb61f7dc, 0x44bb2aab08e53136,
0xe208b02e8d0653e1, 0x870ab2907cf00697, 0x74540958dbd4d8fc, 0xaf3b792717068107,
0x667f86d56f5bb7ce, 0xbf5e26cd162c0be8, 0x2d6cd78ed4c823ad, 0xdb20a247c92ff2bb,
0x7daabc09fc5e7192, 0x0919e5db33883db4, 0x2db0f91ddd0c26c7, 0xfbf0b05a0fc80c35,
0xe93cc23f3a99e52b, 0x66e144d33f88e47a, 0x2a9eb42d1d9d07de, 0xc7731d33dc47a241,
0xdb87ec6e7a0ad0fc, 0x244e79f4edc06e2f, 0x8501a00fcf08f60d, 0x3dc3f696f724d3eb,
0x8f30846e89f43c42, 0x7202a854ddd95d05, 0x0c18a89f5f5868a8, 0xff42e0142a9baf2f,
0xa7e29dc3f192e73b, 0x8d72f26266a19b04, 0x72e5aa54b7f6d00f, 0xe64b10de6cacb419,
0xa5baf0dc702bd928, 0xe1a0275bec9b219b, 0x166a720a7d501d76, 0x0301e1c365cbaecd,
0xed4dfc985238d838, 0xa03abd75da120d3d, 0x5cf5b5d32f4958fc, 0x4960fd5fcd324eef,
0xd7e7a9e831bf22f6, 0xf7f930f56871ba4f, 0x9ff006f604086bad, 0x1b6852a09a32a20b,
0x855b29d27ecf9a89, 0xd930528872825802, 0xa442f602a66488a2, 0x66573df39f8b7703,
0x1fa3ddcf2e78ae49, 0x530845061f003d25, 0xff61c31fd81b4f6f, 0xcf22b01a93b89545,
0x3c0fd53621068e5f, 0xc8cd6bd1d4905028, 0x659dfe6c250302fb, 0x30fb94af9b51de71,
0xeedbeb7389f46cf3, 0xd0e669dc2bf62310, 0x805b4d45558478d8, 0x786e3686f6554732,
0xff7ed48b460b496b, 0xd45f4d88f4483bf6, 0xe1e5b82dd4670fc8, 0x48cae852971bcad8,
0x018db25069d90454, 0xf6437e41c011ba54, 0xdd945f7a880dfa69, 0xaa548af614f01827,
0x16ca278d860d0793, 0xc239b3de9e6f65d8, 0x59a203aa1d86421c, 0xa6d854080824da11,
0xae5fb74b636d4112, 0x8e6b01e2a62b751d, 0xa4c73b21e331a967, 0x46cad2db229d92e4,
0x0463fdc0931c33a8, 0x184cbb249590e13e, 0xa572aab17b604a44, 0xd57e4c28794fc965,
0x73f148ae7b1b9541, 0xa5f7a4542e0a25ff, 0x848600a5f91ef667, 0x895e7ce4e5a992e0,
0x7e5cea23f47e9afe, 0xf81d58699d6ab1d2, 0x1d5c044a470f822d, 0xab63aee94922379f,
0x532b2a346adadc83, 0x00a9045e4aa69554, 0x4735b6bf8b2c2335, 0xdfd4f47cd4dfe6c8,
0xb168f826d6d9c090, 0xad1e41ae7179a8a1, 0x65899abf5063e125, 0x5a3d2700e66471b9,
0x393ac11d52e483a4, 0x180a7e1b691e8c35, 0xd650e93ad125ad2b, 0xd96e18039b0ba5af,
0xe0bb9bb0baa93b6e, 0x239f8b304ea320a3, 0x23f56cf7917489ad, 0x9bfc411d7538e8b9,
0x093a02e51e95d12f, 0xc7a3e63cd19b8134, 0xb16c5d5bf0b7b2bc, 0xa9a11e907ad6c4c7,
0xd0b5e64080fbf169, 0x9ca4a0ced302dc75, 0x3ce9fc15eaa5e606, 0xf5bf367dc2db11ce,
0x8c33b0d4416f2502, 0x7bee44a874bb45a5, 0x9f6280b43737a5ad, 0x5ff81c6bee599166,
0x5a43ff22d23268f9, 0xa86f555f6e403e43, 0x4d6088ebe31a0f2a, 0xce14669459d57320,
0x0953d39a06833cc1, 0xb65c0691432845b7, 0xfaae751a908acfa1, 0xe68c92ab15e2f91b,
0xa324295921f5aacf, 0x69884066a075642f, 0x04efbecc03725374, 0x6f8fd8ddb6347149,
0x91066ff90e7f6a49, 0xbdd7211ecfd3aa61, 0x7b7492eb9b67e45a, 0xeea0825bb26a3770,
0x325d4401091b77a6, 0xfdda0a36fe9bcb86, 0xf7b69a0a651ab8d5, 0x46bd511534a5e7c0,
0xc6d2f8ea03c4b209, 0x95c2e3d055fad576, 0x75b95e2ea2ac61a6, 0xa75f2582ef061a7a,
0x4fd9d93b8e400bc7, 0x007ada1bde8c15ca, 0x98546ed6b6446554, 0xb913cf73516c4779,
0x3ce35d2acb0786fb, 0x74eb9fcb49bf4633, 0x79064bdd3c5fad14, 0xc8634902a8f844b7,
0xbe9e04c7ea046e83, 0xee308bb287e34ced, 0x043c226982253c33, 0xe80d36bb6a7d39d8,
0x39c205209f258df6, 0xed0e1bcf38c52a46, 0x7567f3b074f33cf4, 0x938dbf723de1eb16,
0xe430e24bd8fbdf70, 0x47d7065294bf6467, 0xd792f73ca4868280, 0x3decfa6f831010b6,
0xcec684dbd539bee7, 0xbb4f8817172e7665, 0x55ed72c64a07c6d8, 0x81fa2669c3f132ca,
0x1162de6fbe8e16ec, 0x66dd10122d3f979c, 0xfe2a7c187aa41419, 0xaec8b041452da475,
0x8b6d482a30cf8472, 0x3f3f2dc7e2e6c4aa, 0x210b2710945f2807, 0x78ed418c296e9939,
0x826cb272f991129b, 0xdadc82a245dd3444, 0xf4fdd75856554a84, 0xf930111f1f32b5af,
0xe075922592834b72, 0x14004ae0e90e7496, 0x624bbd0a6b5721ef, 0x60396b37e330a4dd,
0x5aeeb7d5e470a347, 0xdf0c0ad51019986e, 0xdf9c50cf239bab57, 0xc7a63486c957cca8,
0xf8bdd98cee648c3c, 0x281d8364bc6467f1, 0xa8ea359ce68d0c86, 0xbf2bfa9ef8f7228e,
0xac73b55f0a88ba57, 0x711adbf806f2a375, 0x65ebede00ec0a445, 0x4445d19b1f3e8a49,
0x2a1ca9421cc192cc, 0x602c0dd9bfef1b50, 0xba06031487f21850, 0xf421fbf58bcc43af,
0x44c57d9ad72b496c, 0xb95de6f949d2ed95, 0xe8cf11d005d847d3, 0x2c15d4d4c71dc750,
0xaf91c7e734ce897e, 0xd5b1554ecab1ca4c, 0xe55535ffd08cbfcb, 0x845fe8e460d90b9b,
0xdb6f0ea18982a569, 0x5338101edfb7566f, 0xdbc4fdd539bf3919, 0xf4f546513f6059f9,
0xf3ddc95456f90417, 0x9c2652de428c6d7f, 0xb892a77b5ffb40a8, 0x572af6c44579f34b,
0x6dc40bc71ea154bf, 0xa8790566aba46634, 0x652dfc3f8381a58e, 0xa7509d7b7ca90beb,
0x14f057af088b5b97, 0x831799f09602183d, 0x2036d3d151165db8, 0x576fe9855865b246,
0x01e84d4822ea9d75, 0x2fbdaa6beef003d3, 0xb24bbad76466139a, 0x872475faf54d1f11,
0x4c43012676e12fc8, 0xf531075961f2483d, 0x86433eae7223a4cb, 0x483c40aa18f38a9f,
0x5abfef21901d5b2d, 0x5d960db5de10e565, 0xafde6275fee61aa5, 0x62533396b8aee586,
0xa906b40eca1fde62, 0x9a58a16a7564a5d1, 0x47fa05ebf1cad9bc, 0x3b280d37416a5d57,
0xfa07785c838b20f1, 0xee4312f78e4294d0, 0x8d60a0ff056f34f1, 0x2fbd5e42957e7d87,
0x1814ebfece7a41d5, 0x42fbb057798b0a7c, 0x353fa598196897b2, 0xfc09d081a6c72e5a,
0xc8b88c9f7445068d, 0xd659e4cfe6884c7c, 0x57059f24c6c6b875, 0x269fce9992f4b8c3,
0xc0b817d15d7022fe, 0x1c76c0a649677bb7, 0xa54664d824b1f876, 0xab005c8c1a48250e,
0xf3778760c5d91193, 0xe3e6a6b38465fbf2, 0xc12dfe9d31cea2b6, 0x90312ec1063fa356,
0x4ff4389318dc1616, 0xe80680b5c20c6389, 0x9df376b58f45e6df, 0x28162e74a8ac60bb,
0xc66e10dbfd7f7fc4, 0xbdfb9addd1547e2d, 0x6327fa331e5251cc, 0x2cb1113e753c6fe5,
0xe9e8c71eee4202db, 0x8d32e09d3d0abe7f, 0xb87281bbec6a056a, 0x8f997578749f1005,
0x22c766242cb50b0a, 0x75493ca1565cd19f, 0xe679f9c97f214d4b, 0x0849148d17c75c6d,
0xb0e519d98f2ea7d9, 0x565d9f53516c1da2, 0x204f0bfff68b5310, 0x6e04ed1c0c155c00,
0xb2391a88969b7a8b, 0x3e31fe5be6d28356, 0xb7e83ca196e9f3db, 0xd97f4ebcd551b175,
0x71112d36f72a5952, 0x9b650daea6289d5a, 0xfa8740aff1de9206, 0x2adf02d058ad9200,
0x71f27d2ef6788d25, 0x35d6a4e2b2ab4247, 0x182dd5ec8c753449, 0x80b09c4df1c9c4f1,
0x8feaf81c2b64039d, 0xb20d97158ff59250, 0x40309695c6be6c40, 0x465de5e5ed205428,
0xc650abcc2545e4ab, 0x0366c6a58be9245f, 0x63c1d1a29267d6c7, 0x91af1b9819c1198b,
0x3966eb999eeaeb3b, 0x47bfa36d98b976b6, 0xbfd55fdf23db7115, 0x694fdf60ad4f242c,
0x4d674c438eb6a791, 0x1a93c54b6206a228, 0x472b44a8758569c7, 0xe591ef7d86b9519b,
0x073b2f2886af1c12, 0x7444a5e8bad7a5a8, 0xf4dc4018a017811c, 0x5c10af685575195e,
0xbf7e0d59181d63b0, 0xda84ffb372e72d73, 0x69a8f8e72137f141, 0x8928c7dd580afc5e,
0x3ea5ac0f49563bd7, 0x9fef5bd4f7091f62, 0xdc5befe242fdab17, 0x7ea1543168470de6,
0x4d42af84695e301d, 0x3c4a3323e19e5740, 0x3e30e46cdcc25347, 0x3c1b1218d5cfc084,
0xb98d23c733ab894d, 0x4cd31a7aab1b2dab, 0x4484759d45c90163, 0x4e07297bdbf220e8,
0x8980b99791d042b2, 0x6ccfb3c4fc39b902, 0xebaf4f10c12d8876, 0x7a502e7870dfc7e5,
0x673ac34b8fb06e49, 0xbedc9b5a356e3835, 0xf169c3c3655b2843, 0x46441bb30a6d9169,
0x0cc15712cc2dcc44, 0x7ba5bfa2ce45d3f1, 0xa2b372fa5a6f1665, 0x39de81417e43d829,
0x2dfcf473778e2535, 0x8d94f3e693e23849, 0xa798beaa31e2f0c8, 0x3b3caa0c395c1fcd,
0x31483108452ae5df, 0xbb6612034fa9dd21, 0x2fea393a695884a3, 0xae05e43403e3f92f,
0x8de94abc71a28db1, 0x824ba00e8b16d119, 0xef003e1d844d6927, 0x55530bee2ed65047,
0x8fa949d85224d14f, 0x0c82cfaae962185d, 0xb9121a587cbd8968, 0x7d6900f64fc472d4,
0x7d0b4cae00e07e8e, 0xd83d89f6d0d38432, 0xd6eb3d05142d3a40, 0xb16ec50dbaa80824,
0xd83a4d2a878d4a00, 0x9625a5dce49b6237, 0xbb486ef1c4af5865, 0x3077135a7b4dc4c4,
0x0cfe3477d05b5b7f, 0xeb9e1cd0d4fffe40, 0x8d5b751fed9c83a0, 0x51855d2023390ba4,
0xa9d95e25d5df5ec7, 0x10bea39e74a53536, 0x302b6b39ff4fd4d2, 0x62805a9536abb932,
0xbb4acbc8694c21d2, 0x3e46f37a27eacf4b, 0x9c2279b32886148e, 0xe785a392a7e1abb1,
0xba1f353c056fa979, 0xed85965049dea9f9, 0x8959c1bbf58ce555, 0xfbfca8b8b78ad553,
0x25d224d534bcd2e7, 0xdf350385039bb872, 0x1e5330c5c9e6356e, 0x3baaab45a97dac57,
0x73acc59ad6b4a039, 0x81b72873922f1ec0, 0x86307e881f5dc965, 0x50ab9d93ce618fa7,
0xb56a82c31236399a, 0x925322cbfb61f582, 0x1c3badbb7d63c638, 0x2c3415e986ede3fc,
0xb319b9d5ed880ea5, 0x9d6a00efeb105386, 0xad8bf4bf06e083af, 0xa58e07c3bed1a2c4,
0x517c0632c5a7c6c2, 0x9d89aa8f0af2f949, 0xb1048c53c8c588d4, 0x4098c3833eade047,
0x10a2a68e10248827, 0x8cbb8b90121a6aa6, 0xf4e667a8bed5e67e, 0xbbba897d8b561fc8,
0xc0643c049879fb18, 0x345a6854efe2cf1b, 0x3509674116a484e8, 0x2b7b5ead735e2c2e,
0xc8c0d3246949b122, 0x729a881301fa12b0, 0x5692d6303f1b7053, 0x88b17b15bf5fa163,
0x0e6ac97a56c78042, 0x87fe29c9566b55e7, 0xc104f8981d0608b5, 0x103f626cfd68ac9f,
0x77e4fa487b6eb752, 0x5dbbf7adf144e13b, 0xb644e466f7683b5a, 0x6343d5c78025b914,
0x43e02a79b7372f23, 0x65d044df048c9bff, 0x7816e630e023602c, 0x494d032b44d47bd8,
0x0909f24cdbd64ac6, 0x9fa1a36938d625f6, 0x4c57370f1dd70004, 0xbc04bb5b6592941d,
0xdbbacfd279a485f1, 0x23dfef6c200c41e9, 0xcd9df86865565978, 0xfc9d88fa098302fe,
0x398382a387b63739, 0x9570a9561ab8c57d, 0x6b91e65cd9bae003, 0x3c8eb36ea5968624,
0xcd48d4b4edcba055, 0x5d3c2f729a4c2f64, 0xae2c851f3ed26fb9, 0x112842dadf8554fd,
0x6d006bf3fb875a9b, 0x608d849912581cd6, 0xa6c171d124943ccb, 0x759b8a1fb0d19df7,
0xf0ebd6a1d0e774de, 0x9a5811323349fbc5, 0xa775ad0c30374b51, 0x1be49d5dad4a121d,
0x3a054173fa304b44, 0x89924789e96b5481, 0x1799b2939875fcfb, 0xffc3444c7d784008,
0xcdc9d1a42ac08561, 0xa964047feca73809, 0x4b49db547ecfd2cb, 0x67ece48188e13e1f,
0x3bb94e12d6ae6d60, 0x95e287ad4eb0a2a1, 0xfb6fa2404b6145b0, 0xf9d681ed27914a66,
0x1d90166d00acfb26, 0x1b50e0977a09573b, 0xf1dacf74cc99285e, 0x0d02482a190e2be9,
0xa39611e04103197c, 0x9c77efcf9bdede12, 0x7fad23f4a8465660, 0x493d32d9c18d907e,
0xbf4e30b5998e6421, 0x424bd628fda6fae1, 0x64ac51bcc4dec712, 0x38eb6b9a8e468016,
0x107ae6a6cba998a7, 0x2aab3be94a810a36, 0xa54bc2682e20252e, 0xec7fbf3060ecfcf5,
0x10a701da722b558f, 0x3eea5c3074d89347, 0x2cc28b3ab611e713, 0x7b6dc4e5fb8808aa,
0xe7ceb58d34979139, 0x478b5986f8f1e520, 0xf5af9c876728655b, 0xe3ca60ab855b905f,
0x1478586a61e31370, 0x5d8156e42757d983, 0xaf3044846eb06235, 0xa01178ba4df87c32,
0xb216f58359f77c02, 0xbbc82f0cf2721ac8, 0x41199a3f8b8a6e54, 0x08c17d9003a85540,
0x325986c29a03b666, 0x54706aceeae151eb, 0x6a6e73be7613f0de, 0xbaa075cd5fc17c47,
0x6fffcbc8add29bf2, 0xfab07d54375d8c1a, 0x20d95b9ac58af7b7, 0x6519f8201f4c7f39,
0xf5c571ac07e2b34f, 0x958d05a187e1f909, 0x90694ef6d5515b3a, 0x209bdef95df89bf7,
0xbccb60b34d995690, 0xf529d968f7a341e0, 0xd5932a77e1416627, 0xc1687a9cdb4450b1,
0xc45e9aa8e15ff353, 0x8e6828f6a3294daa, 0xec76c31c742c1dc0, 0x1f119541cb67862e,
0xec778c9290654911, 0x0c68fee761ade7f0, 0x57b667c3a7a2abba, 0x156871374fa1634b,
0xca8722c4142903c8, 0xe0190366cf38ffc1, 0x4984e6b50d387ba5, 0x5d41d9046e573292,
0x8f32b9d1374449d1, 0x065b8d9c1ce863b9, 0x8e2e98aa837b30e2, 0xf920783d944177bf,
0xf721f6344f86d4ea, 0xb62fe0633c236b1e, 0xc29c7b8721660ba8, 0xc6ca25205429820d,
0x000508ec8c3b9ce0, 0x025769fbfac7032f, 0x5bca89e18d0978cd, 0x302fa6dd8d8b97d1,
0x6dd5279567a46e9f, 0x71f5ad753e205505, 0x71d668e841d58897, 0x48bd5f8f85374404,
0x3bd378340f649884, 0x06d0ec1fa222a38c, 0xca39527ef3002808, 0xdffb4491bf27164a,
0x3a7b0724d2f83309, 0x672df76bd93b22ef, 0xf728e8a75454f8b1, 0x10290a3096941c37,
0x144a4c87c9ee0c0d, 0xedb15fc1ecfcdd39, 0x44df6cf6a26bfeda, 0x997609a6b7b8d23d,
0xa07429ae1067dc8c, 0xea6e6884374549b7, 0x976984c329042c72, 0x4db88cae728aec1d,
0xe3368aee461dec8f, 0x4d6a884191038861, 0x3ee2d7ad68c34d12, 0x32285d89f6390344,
0x27f22908b8e1fbaf, 0x609676b991567d7e, 0x236a39b4f7695282, 0xd32e1e584d8f7fe3,
0xb74752f975caeea3, 0x9ae7db66c19ed965, 0x5427673a3d58837b, 0x79bfa05291cd96fb,
0x52cabea1d1632fbc, 0x38458fb7f1823163, 0x2a07dd1f44d2c7f6, 0x55e34f86c2b295d0,
0xf588af0bbce09ed2, 0x07036247d8fc47c2, 0x8a2d6c2698984d11, 0x451a8ef3629c0182,
0x11ee1a2ec5de3f57, 0xa764b654996a0332, 0x0fd303499408ca71, 0xf76ffc82fa36022a,
0x399bae21bdb4c2ad, 0x1b0f6045d840ca15, 0xdfdcdfb6abff1d92, 0x706c14b6ef605b95,
0x1861b70f36e75d00, 0x12e714d710c6af86, 0x971c7a89ddbff262, 0xf79431f73ebf4854,
0xee28e53f6ea16654, 0x76f4a1feb1cf4fe2, 0x7b7ea402968141ab, 0xf872c7b5d0af1bfc,
0x49c73157c1f18301, 0xddc972090426fbc0, 0xab112f1ce5c5a68a, 0x1af2a1c8f135eacb,
0x57f44acbc78c7606, 0xbdc030802b79a903, 0x83b9ffdd0678937a, 0xee72cc6db82d2b42,
0xf71a3585b194b3fc, 0x2ef030596cffb6cd, 0x4e5c16be945802e9, 0xdaf07126be4106d7,
0x459a7ec76e5406f9, 0x079a958227330ac4, 0x900c4ba763dab213, 0x71b93cf3046cdbbf,
0x0c452a8248b070c2, 0x35fec0790342c6ee, 0x48ac57836e1908c4, 0x073e89c8f4edce34,
0x6ecb6a2badd62a5e, 0x171f99d2f330561a, 0x01004c473fb69407, 0x98b05f15e492500e,
0x3c0910bf5b6ecf41, 0x7aedb95863f5b229, 0x76fb9a37e929f2a8, 0xda1075590c673529,
0x8835dfe275cfdf88, 0xe1dc686664dd9503, 0x1edb23640d30e9f8, 0x78fb09c4715e9f7e,
0xa4974b3e20a1e356, 0xccd510b9f681cd65, 0x9e9aa92fcfd375cd, 0x31ec608392512a82,
0x82b79656961c7156, 0x01712a4ba4cf352e, 0xea891ffbabd2af9f, 0x97b7b09c24289115,
0xbaa151ed16b1ef96, 0x25a075304964bb1e, 0x957a82c5dc4f79af, 0x625908de16e8be15,
0x8eb34fcd5756d9f3, 0xa47d1f331dde50cc, 0x84702a593a720cac, 0x58e56563577d8779,
0x722fdb6c49a1959c, 0xaf0926b371747a14, 0xe2ee90798977f1cd, 0x35afba3336a4e6b9,
0x38779a9f23a60892, 0xc7bbc3a37dc8cdf2, 0xb45a26affe67f713, 0x65bba22ef6b92f64,
0x14f4c865c57ac7e5, 0xeb3130065542b9c4, 0xcf5ee5db79cedb61, 0x47c5da2bf40292de,
0x649e3da3ce2b28b2, 0x4e7b71ddf8b23fdd, 0x070f74eacbf4338e, 0x3f15779b4cb5aa16,
0x2d1c26ec3febfac2, 0xaf38ffa4e5137a83, 0x6847b6f5b48c41bf, 0xcca0dd6e09525ce0,
0xbe051ee8bdd07ca6, 0xc9acebe544707d9a, 0x8073c472692dbe3c, 0x4f8a5bafe2528d7f,
0x37a3a2ff47d04bf6, 0x6cff881602b6082b, 0xb951882fa38e937c, 0xed81e065e8bcf06e,
0x003c6f146c127710, 0x19807ea0423289ad, 0x150cc944daab6fed, 0x74fd3b1ab70c42f4,
0xcdecac3d9b3faf97, 0x2b14ba4dd141bf46, 0xc4af6686965d2c12, 0xeac952a7729df97d,
0x9600ebeca9511565, 0xa88c1f6af2576874, 0x4f513fdb0d05fc85, 0xb40c0d9c7283c06a,
0x88ddb40eeef1afb6, 0x173e397eb5b79971, 0x7d41b69fd846fd0e, 0x6728a6fc0aaf7be4,
0x80054837d60dd909, 0x6d0e6449c7573a69, 0xc818190280c5cac8, 0x67bade86f03eb7fc,
0xd6dabd341fdc61d5, 0xc95051e335cbc381, 0x4df99b96bbf06a09, 0xc24e14c8b4e16456,
0x1f20e21f1d2fa3e5, 0x265cac30f70c904e, 0x7e16fecab711c3e3, 0xe6ccd3dc85a01811,
0x85d866d0c09325b2, 0x6ef844d4f76df0a1, 0x901caec1727d7865, 0x94a002b720f7a4bc,
0x939675bfa9117442, 0xfae6eab0a30e5c83, 0x6639cb38a7e57499, 0x04521005e1b08979,
0x462d2f6560a37643, 0x6aceae0c8969ef73, 0x08adad0af6e8ebc2, 0xb25253da3b4f4bb6,
0x7b083547a7026971, 0x12310d41e71469a4, 0x1a22c4c36752d5ea, 0xa030a996fcf9d354,
0x078ad216996ce2a3, 0xa5f65b09fc18d7b8, 0xecb1ab03dabd1cce, 0x4899386ec242ea6b,
0x587493b7b78a4a16, 0x662b9df844f54def, 0x3750ddef0b1e1f95, 0x87eeebe2bc246de9,
0x907b9b69c2acee37, 0xb9da549545f357b8, 0x6c89ad5785f60f40, 0xec7eba081691b5f6,
0xc51b72030a104a6a, 0x7b3a415806a8f0c8, 0xe1082cf323cf4d2f, 0xd4b2b895250267f4,
0xebbb34c78bf139ef, 0xd4e35fe25fe67f10, 0x61e460da796fba3e, 0x8ba1ae68aea2fc04,
0xe83334544bd00781, 0x20535b252f1b3652, 0xc8f93c7a0e2f4bf6, 0xdc75ccfa838ce01a,
0xbece06e00d6b8d96, 0x0d177c4f8ed59e2e, 0x5f234f0537c69e95, 0x0b2b5a729439922a,
0x4c258f7fe293f38c, 0xdaee0b624ea9e8b0, 0x7bf341615781d045, 0xd2cf4901f284a4aa,
0xa6ec8a077d72b83e, 0xaf3791798a74360a, 0xa1d80b7df41a9aef, 0xf26860bf40e71dfc,
0x7eb05ff7a75ed12d, 0xb36850e6bffd810b, 0x3180ee15c93643c1, 0xd83305d22fefb789,
0xd56e972ffccd9ba2, 0x4ef116b1442570b7, 0x9f99c5bc1890414f, 0xe4c70b1ffbeebc49,
0xe473c4346e7a98a7, 0x136e3a2afd4228dc, 0xa39a5e60daff0b2c, 0xe0a06630c1ad47d5,
0xff6b1eb569d417ec, 0x04f70ae08b401696, 0xe4b306869db853b5, 0x8e08b1d39109e01c,
0xff6667b7603d2379, 0xb647a549a9130efb, 0x3dd94a96bc864514, 0x57538405361d6843,
0x461a5ced91ac0a04, 0x604c958c81d5675e, 0xc74a8dfee8a238bb, 0x27a228160f096f2d,
0x7f2fc94314b025f5, 0xeb37df86e0ee3381, 0x086621594fe10cab, 0x66d073c004aed1f2,
0xd152adb9d6316f4e, 0xefff6a3dc0947650, 0x7ebf6d2128c569c6, 0x5c100a397e31b9b3,
0x9e50ba0690685af8, 0x0817172fac5c35b0, 0x28fcf6d1f169b78f, 0x7fffe961aa66c2eb,
0xc0aac6e163eaba45, 0xb84712730e8c77fb, 0x1bd790edd9d4bacc, 0x8a23160c5029a2b6,
0xc1903cbfe44a4826, 0x81108fb4a609fe6e, 0x375581aae77803a9, 0xbd20609afcc63521,
0xf97e45fe77987f01, 0xe7e87338da885596, 0xce2a6bdda1369a5e, 0x2183597d9e776ad6,
0xfed5146f67e00647, 0x1cd3ae2f1c4b23c0, 0xf34eb0dc1fb281f0, 0x47d04d6729e480a4,
0x2947a779df8d6c72, 0xf27c881da14c3811, 0xde1a3150e4dd9fa5, 0x11c90fc9f610a8a1,
0x1af6efa06f77b91c, 0x6471a9a272ff2f9e, 0x5afc0a78eb9cce6b, 0x2a0646a9ebf7f6e0,
0xba4c06ac6e11271e, 0x48218b1bbeec4da8, 0xe0e81070a20349b5, 0xac9ec3fc5d1f33a8,
0x65886ecaebb85891, 0x38b41336d8f1a009, 0x1aa73c4f953613eb, 0xf4b1d0fa64db429b,
0xf4b4e653b66ddd04, 0x1c8dd2613fd2d8ff, 0x994b1643b3e2a00c, 0x33854e09328b86a7,
0x0259880aba215dfd, 0x18bc56fb25b0d6b3, 0x8faa28d7d21f5fff, 0x3bf79f1cb43b4177,
0x73c225265109b906, 0x31f123ef829a728f, 0x076b6b083e10cc3d, 0x1480eb3c48f62a7c,
0x34f2dc60a7a289e4, 0xee80358d422c59f8, 0x97b1fdcd8c8eb6d1, 0x678297701b2d1a2e,
0xfee205f69433c230, 0x2a0e40e1cec20faa, 0x2908246baf2ff684, 0xc85013e1ae99b16b,
0x73dd3bbd77a4ad77, 0x74b7e1cc8fdc7347, 0xf007b3c37c347ad7, 0x6f64f83d3206d13c,
0xfb0cb16eef2d1540, 0x5bfeade7ae436926, 0x48eefb48e5e361fd, 0x50d3fc592eb163df,
0x5c08dfc0b981ade2, 0xa2533b3a08f3ba24, 0x0cfec60ede8290e7, 0xf61b3426d3d5cb11,
0xe1319f2f15334194, 0xf6d5797982406f2a, 0xd8a0e66549a831c9, 0x0347ea1599d5e455,
0x4fd9e3920947b6c5, 0x14e44ea4a414cb23, 0x8aed5f43b296777c, 0xef0c03dc7f5b30fd,
0x7056190689ee6260, 0xf7aacfee33c68a89, 0xd9a29a5a9a3cd216, 0x56568922104a2ec2,
0xbfb6777c7bcbc789, 0xd3a61554d650d809, 0x9268359a9d9a7ad2, 0x693f0af0bf4d48d7,
0xa5158b84e520af5a, 0x20b479788d588449, 0x8fb152ac308ce01f, 0x3726147316df7b6f,
0xdeb3db1af1c75b25, 0xe8de6c73d03189ba, 0xc72de9ce66cca884, 0x2b852d4ae3edbea4,
0xcaf9ce19a2911a0c, 0x6383b35e01424ff2, 0x1cad8056b68a21a0, 0xd1d18445d48c836c,
0x7bb0e25f2ac58da7, 0xb1d7d1947e1ced3e, 0x23ed975c7c501fe4, 0x86faeab83ff5d558,
0x1edd6a8f9cfafc63, 0xef254f7e01b7a1c3, 0xccba349eb30a0509, 0x486b72b0630bb2a7,
0x422f104f834180b1, 0x4009b93eef760518, 0x81ddb055f428a7ba, 0xcb597e188f5247fb,
0x2d936aa9e2f74762, 0xe2db4f29ced59401, 0x8788800ffd853c1d, 0x23c5a65c22709d0a,
0x3d315ed09eb82838, 0x8fe9e5d743f5b40e, 0xf50aff377c1a1657, 0xa4c6c5817e8e30b7,
0xdffbb3f20e998962, 0xbe0925a47a1a50b7, 0x0a040c2a3704ba24, 0x7bdc6939150a08cd,
0xf4b3faded34ad6ef, 0xee3f831f905b6604, 0xb67448bea334574e, 0x7dd500a94f29ea47,
0xf4b372026615c2d7, 0xc289c17384e3603d, 0x70bc80a6e80bc10c, 0xa73e8783c5a0b265,
0x8501011cf55f741e, 0x892c477c84d26ace, 0x6e121f6229e4667d, 0x61f69ff87ee5a6bb,
0xab35195078a8de2e, 0x3b46513598fb6df4, 0x2069ce150ad40238, 0x00db239126eb17f6,
0x06c1ea30d13e1880, 0x2babbf0c0fa6ab4a, 0xe0940fe57336d1cf, 0x6e55abfe899f5a61,
0xfada8d72ff8197b8, 0x53a54de87cc1599e, 0xf6ef14d9d39b00a3, 0x626cbdaf89cc33c0,
0xa5fa6e036d7175ad, 0x1bc1858ae5fd6ab4, 0x0227d66f30e4fe8a, 0xe19a194974f70408,
0xdf433f09afb06f6f, 0x2d6b76386fe81650, 0x3f80496e98ccc40c, 0x32ec4687f9213635,
0xc33bd5ad8c640251, 0x0eb94c6219eebb02, 0x80f85dcf3dc8a139, 0x922f713aa1d13ea6,
0x5652c6d5f5f138bb, 0x5533eb06a48fb1c2, 0xa6aa8b2c61115c44, 0x46846298b64eb75a,
0x5f96b764d7920da9, 0x9cbab8afddd84545, 0x66e72d04aeed6a35, 0x734739602896d038,
0x104a37cfbfbc58c5, 0x8a1e96286f1691d3, 0x2f7fbe15e4a37f25, 0x148f0de3b08ee080,
0x4c6de4a2f323e06b, 0xf662e191925a00a6, 0x8c6a93240b4305df, 0x65dff271da8dbe2d,
0xd4992dd6c574ad76, 0xfb925de7641df566, 0x91d8357176f544fa, 0x4396c1e8c25e43f4,
0x85f05c8ca4be65ed, 0x1add1c386b776660, 0xc8d8caafd06a993a, 0x3f1d3e15a77c8e00,
0x14cd10410e9227ba, 0x18956d85fd369ac0, 0xc9fbcb52cee29a5c, 0xafdb40a075270c9f,
0xe0f637552547e10f, 0x87631c67f08c710f, 0x43cf47409eb5fde5, 0x79cfcd50fa494035,
0x1dd6db07aa64893a, 0x9eda42304c1ffa7b, 0x3d077ae0f8539e4f, 0xdd1e2075d147dec0,
0x5e700cea6645dc86, 0x7e71af1eb6e0f5c1, 0x7e1d68721bf5d07b, 0xd29914c67bc31e80,
0xcdcf94c2f9785d80, 0x3f8c772226087efd, 0x791564b535bd9d7a, 0xb5db0df96b9406af,
0xa5730fa1b5140b8b, 0x7947229a2ea366ae, 0xd743462c0c42979c, 0x6145b0f9410f9934,
0xae0981e9c512e1c9, 0x4332419f1c083508, 0x7df9937e124e3ac3, 0x7cdef42df9d95a05,
0x179e16d09d3a63c6, 0x94d1af2aa68bfe20, 0x5ee19c3900d28727, 0x9cca6e1446d20dd1,
0x732b6069159c8928, 0x4493c711829c380d, 0x4259108c1506bd07, 0x9d09b96634448b4e,
0xe75bcea40a0c7348, 0x5c238d2f1ed998e0, 0x4aa894a36202b878, 0x8622d098fe74e6de,
0xb52f25bf5efab5a2, 0x86a6667676243fcf, 0xecd6f632a9d32b44, 0x907f3be53ab4e8dd,
0x5dd2d10fe40b7b29, 0x9c2de720e15e1d98, 0x1e07320ab9c63ed7, 0xb6db65cf4825f287,
0xf6b42e6fe65e9d8c, 0x83f8285fa787ddf7, 0x55d98dee36fbedbf, 0xea51cfd937d4a0a8,
0x97018c762ed80f76, 0xa0d4e078050c5bf1, 0xfce8ae2c509b5a77, 0x9d2a417e265f2aa8,
0x1aa973487d323174, 0x47e26ded1e39aaf2, 0xc69954da7af0a139, 0xfcfa529f7f2ef3e0,
0xd1b0ff1caa3af1d1, 0xdb18c11b891ef5bc, 0x4c975e10e7042356, 0xaf1ff6626b2ff96c,
0x3110a17a2890ebbc, 0x24511e1ddd26ba31, 0xa29a47a88c278905, 0x7cd3b6884a0d57cc,
0x84a2a2b5f4f08e19, 0x9bd9410a923669d2, 0x6d7f897ce23b93c8, 0x306467677df3563d,
0xac8065cfe1af1f5f, 0x38dc36578ac69965, 0xd14dbc2f9cf4d0eb, 0x334c4bc69f958ee5,
0x605430f1be7d9968, 0x47e8e4a0c3ddd375, 0xceab5e929f0c56f0, 0x2b6d821a04a00bae,
0xfcdd09e7a3b995c6, 0xe0a5c2b03a57833a, 0x442bc7bb3c61cbbc, 0x8e90a880bbe8fade,
0xe5e6327702fe0fe1, 0x7a41edc3f4b33923, 0xd6ca1c9e2b0d65d4, 0x919368abc0692833,
0xe73d6c00b9b5cdaa, 0x5db2a35e6a21b6cc, 0xc14d14b1db1238d4, 0xe1f654bda75eaaad,
0xe0513db4ec9de2cd, 0x5c87ffd03d270994, 0x9829f0150028cd06, 0xc091edc5ca579832,
0xf1a8ddcb1c1443c4, 0xb9c6123929f8b96d, 0x6fa16bbf4e6df1d8, 0x8cbb904f6411de06,
0x9ef60a154811f124, 0x3b94949e80dd5629, 0x48cdae9380489f99, 0xfd5e41b3de3a37fe,
0xa6d507da8636bffc, 0xb7315d27f9014c0e, 0x9c3ada89880bfcd0, 0x9aa60e3f9c5dc914,
0x8a7dde8d431afaf1, 0xe0b75f4063b1cc87, 0x869822d38abe70d4, 0x2ee10ef7b293698b,
0x16067980c0e5669e, 0x42b1f1eb003aa6e1, 0x0b7d73154a0909f4, 0xd34ed6a5f3aa47bf,
0x3165da0cac593a5c, 0xdf7f280b6ede5fd9, 0x7740916fc0786f7a, 0x033e14d8a5293331,
0x2f1b96c640ca8462, 0x224ff0cf2deaab18, 0x35b00469e70b37ec, 0x5973d0f91638575b,
0x1327897a1a7629a8, 0x95855cc1a2b025cd, 0x6b326f11d0f48a17, 0x0e324561272126a6,
0x0784c01fa6bd5cf1, 0xa3ec62a70128a0cb, 0xc69cda8a5d200aa1, 0x60b7249e70d9065a,
0x83f07c23cec63ead, 0x4844058f53cc9dc5, 0xbb017718d0224953, 0x52bd8386fd76af7d,
0xcf35d88d5b3f6952, 0x6809517e7624dea7, 0x8b4b452d03bd25d3, 0x0b05e9591f5ce862,
0xd76242c79b254fd3, 0x5c6d8928fe27efe0, 0x6c0914f89300e5c8, 0x984af1ebf0022093,
0x049308388973db9d, 0xc32aa685764a30d0, 0xec6168ae7da684e1, 0x4f43ef4824207f44,
0xa8432aeee90bf88d, 0x7d2a87252a3c77c8, 0x42bcd0c04fdfd7a5, 0x561952626fde64c1,
0x8caeeb9f1a7fd79c, 0xf5d2670c4416c5ca, 0x3afe6a17b29f420b, 0xb6f67508b20a8358,
0x2ea099b4c78fa5f0, 0xcc8b299bcfae3105, 0xcf2d46285f47b4f8, 0x602da559c703deba,
0xcfef2d0c7dfa1d93, 0xcbec20f8c0f93c01, 0x38eb2dbb318647aa, 0xf5b27326a99df90c,
0x84400c8b0c53db55, 0x029b85555747cd43, 0x10dc4a0ae9ad3f98, 0xbc96c4c9029f9c9d,
0x7eea105f81a59439, 0x1ffed4f53bc67fdc, 0xff97d47d04e2e3df, 0xf550949cc5466ed2,
0x37937d6b36f40cbc, 0x5008a2fff2eeb1cd, 0xf0f89c6a312e5af3, 0xc28d4cd84197f9b1,
0x98c2abe8976c5a98, 0xf04d7fc86613db76, 0x7f94e9853d777fb1, 0x974bcd3ce97cb7ba,
0x65d218088eb18ba7, 0x2c58fcbe253e57d6, 0x6ef388b0b976a679, 0x398c98487a2d14c8,
0x741d365a08cf079a, 0xa64c2412f67fd93a, 0x368fec5512858ab7, 0x8ff779d1c5cef2ed,
0x662c7873a309dd08, 0xcdb7f33175da152a, 0x49f61e5750179618, 0x9ff5a59e8cfed1ff,
0xb401a3cb2834cbc7, 0xc8d6d84ecd245244, 0xfb0a423ca54a1ddd, 0x610c0547d464cc17,
0xe13969d12ce2783f, 0xbbb92c6010b8608d, 0x07922b75cfa9fc26, 0xba8907fc1ae5b9f1,
0xe155f8b12016b72e, 0x58f87df47ab7104f, 0x75112663d571ebc6, 0xa62bf3f43694c233,
0x5b162c07782a2c35, 0x0c76c9d6ef3b3db5, 0x10033feace7a97d6, 0x8b6132c705de40a9,
0x2830b5d1fe249114, 0xc0994db49808f8e4, 0x97ae08cba87b4bc8, 0xc209b4affd71ad62,
0xb5330119a5765665, 0x93e0a18d8a445291, 0xffb54a38e8291b47, 0x4679e81a466c9bd6,
0x50a9f41b54a5c5ac, 0x41ce9e2b5117fe7c, 0xbdca22887075d968, 0x7ce3f32fef105f84,
0x0af59a4dd2a8b6b2, 0x89e2e2bbddda54ac, 0x6fc9ee94d7a6c3e2, 0xe33eb7897c0a189a,
0xcadd0fceea828ad8, 0xe43aa64c96d6e5cf, 0xaf0c4f1a97615e5b, 0x6df6725084ca1b4d,
0xab1037dea2fd685f, 0xb146e3aad0496947, 0x70fcbde893aa18cc, 0xdac77166aed6ffcc,
0xf0d5c6238541f499, 0xdffacf8822a5fece, 0xb5a781a6d3a26087, 0x91e6ab8e182a5664,
0x65ef06c6e7f58085, 0x758fee4e0037bb24, 0x36c2bb9766b44c4b, 0xfe730b24751e615c,
0x3a189f2e0a20e417, 0xf67534aff003d7ef, 0xd2248e5a22ff8919, 0x98407f69f63a3587,
0xab1bdc58ffeaf7b5, 0x08ffcb2837cb833a, 0xa420fd3276ba862e, 0x22547eb44856968e,
0x83e647ca3d07f368, 0xba6a74b7c4703536, 0xf1bce45e5a796531, 0x4a1ae853df5293e0,
0xef56854ebedd9602, 0x07b370530c44712b, 0xadf11e023b570738, 0x5b5b8fe8ac45a1d3,
0xb4ed5b8078a92dea, 0x06c2925bdd492390, 0xda3a0fab8c679adc, 0x6e642df50d13c22f,
0x69610fcc7f18b1c2, 0x9f53b5f09112f5c2, 0xff70c82ca3e6563a, 0xfecf70c22c17b9dd,
0x32283eb731206df3, 0x83e48cc878fb47d6, 0x93f9471ccc00eaa1, 0xa4f11979a515f28b,
0x99a210e39f1baef6, 0x20b417776954512e, 0xa2f95ff6e3949c36, 0x2555c37bb36739bb,
0x627cc9a5ac81e071, 0x74b86293f7539cfc, 0x7a709be31ce42aa5, 0x4179339c7fad27bd,
0xa20b8ab12e02425c, 0x42278d2095602980, 0xee63838797a88b40, 0xf9e7b547bf182227,
0x1c8673b369e8fa80, 0xc33c3256e0c5b0ad, 0x27b1445325e3519f, 0x2d67baf42e451b97,
0xee03fb130490ec9f, 0x6c300943fca8c65b, 0x72ec73a072dcfc2e, 0x55494394b19ef5e9,
0xab50e40e21a18122, 0x2119d92f745695a6, 0xd52ff433a5f4e652, 0x4bfea2183e187083,
0xd5c7afdaf8562648, 0x8b70d174bf9b773c, 0x28519071bd6656ed, 0x43cdf73aabd59a2b,
0x72119d2ae41cd844, 0x1c23751987ce00f2, 0xffe678f781a9f177, 0x7c0c7af12ed44f20,
0x8c40c59f2ffc7ae3, 0x5335377913cae3d1, 0x7c42046196f07d48, 0x8db5301e396f4d92,
0x1ec19ecb003e9460, 0x3a735f22284bf7b2, 0xee8a00452d265f92, 0x513c039175b7f5fb,
0x17593c3b344554b0, 0x960ac95981c8a1cb, 0xa3fb500f09539d91, 0x2045335476ac5355,
0xef75f7ac46f1c7e3, 0xdaab1a3469df57f9, 0xccd1e8876d4d914c, 0x3b2933144ac69575,
0xe5c61d4ee366a51e, 0xab109899ab009683, 0xdd52b1af0300cc0f, 0x3b50d2206dc872a3,
0xc81a12ae49871df4, 0x4c161cbb9bd52085, 0x33560b58d344d076, 0xcf69534a4ef85b3d,
0x35206edbefceb527, 0x35ae3c2b23d7d88e, 0xc3d3a23fc8052a33, 0x3c7a4dc3deef96c9,
0x1c6c26bd2bc2d26d, 0x79fd0a779ed5c0f2, 0x7139d1e7a0fb73ab, 0x95f400a53d2331ea,
0x3bc0ec8e4b15f06a, 0xaa0850b77573a978, 0xe0ea4d29dfd39b24, 0x1433f346b4205063,
0x35adb5ad8e055f1f, 0x7d99dd2fd6aa2ff5, 0x183655954736f1b9, 0x6776a81dd8615674,
0xf56b93e86881c956, 0xa92cf2a6ec8453c9, 0xaeee9d304ac6cab4, 0x7085debc963b6e0d,
0x9c29adf11395b548, 0x83e40fab023f1263, 0x51169db811013980, 0x67306742f93ad248,
0xecfff543c6febd74, 0x7c7a366c221005d8, 0x6df75277ae8ddd19, 0x4b14f84c5953da7c,
0x3c4c744353fe050f, 0xe5f0c54b4816317b, 0x046f5e0b13547d7d, 0x71e5f645009bcf62,
0xc974991b5cf66e95, 0xb35f04a695694b2a, 0x5a5804eb646d9bbe, 0xe9164997638f4088,
0x44b020c7c8253352, 0x279b9540f2fb60a7, 0xe5d34b0ad3ddd390, 0xa1903c6fecd5fec9,
0xeda4f189fc2052f8, 0x19018f3ef771c637, 0x17d9978651671ea6, 0x2ec1badb62c1351d,
0x5bbb0af8ea63d098, 0x3d37389970d9f381, 0xd920ff7363e39b11, 0xb8e1c51ccdc130c3,
0x0be866461502c7af, 0xcb1451454f052a70, 0x303dac3f38d4f6cf, 0xf41fc007b2387bc4,
0xc3883c5f1950eeb6, 0xf2a45e8d88d0aa9a, 0x8a17c49508364a54, 0xcafd3ef0510cb140,
0xfc03351bf69c94b3, 0xfaa1459a7d127784, 0x95a1ae8f2de269bc, 0x6553cd60c2b04be7,
0x586d00b187243079, 0x4cfaecfc974424c4, 0x8235a40bf3b4de51, 0xe7229efc1cd0827a,
0xff2737e40e5a2735, 0x061bef99e5ee36b4, 0x881d9e4dde0d8da7, 0xa7849dbe1551ad19,
0xc429a96c720e3821, 0x8aaf44c1b0dad3ee, 0x69cb149c2bedd342, 0x66f6a588db2adb9e,
0xd3dad551e343033e, 0x17d8483e10abe300, 0xb392844983bcd31f, 0xf143d37f5b467187,
0x794a915a05dd8a6c, 0x0d2da82d2efe48d1, 0x7a36595daa72c78e, 0x70323a0b290c9bc4,
0xe8b53f89a31adaf2, 0x98fcd57d1d800a09, 0xcfb0322d8567ed37, 0xd77df207093b5097,
0x4e0987e3687348fc, 0x4c3362de480e121a, 0x0b5f44a2f9bb95b9, 0x8a3a5f7a847e8bcc,
0xb77525cb3129ba09, 0x1fe4bc8eb613f0e6, 0xcab70d559896e460, 0x34487901e49db96c,
0x85008ca36752e7b1, 0xfc0ff71b1c78f238, 0x209a32088937e0c5, 0xef913256abda6559,
0x45bd38a91b07d9fb, 0xf6b05c7346da3e92, 0x19ca569411650ae0, 0xd662e1acb3ba4cbd,
0xcf3fdfd2e80cd675, 0xabf7cdff6a44063c, 0x37c5916dc264867d, 0x73e3f6949653ea50,
0xf5488e7815bdff45, 0xf6499a2038c4b88b, 0x8faece05e43b010f, 0xac4b08dfc61644c5,
0xf21278dadfd45bce, 0x31f5a73c05de6510, 0x3eae03f858ad8ca3, 0xb284730fe003fe98,
0x1a2da6b830caa083, 0x26ef5b44f6915f78, 0x71f9afef1928ed59, 0xe5926678d02f0700,
0x313ea3af07e19d31, 0x686e49294c645c83, 0xec34054a45ed9d8e, 0xc2faf8c2e99c3487,
0xc0dbf0732a2d6b17, 0x312bb2d05d527302, 0x62b7031cea68def9, 0x93204d182e62cb46,
0x09a88264ecec3cb1, 0x5ea34d5c887b30a8, 0xc1c74e1405e20e7a, 0xbbcbcf82b131ec0c,
0x7cc4e7f6b83a2207, 0x1f80e6ff0ab1742a, 0xb02ae4660e619b7c, 0xa3d29f04b9112516,
0x0d404db8f948ea52, 0xe1cc7dfec64d90ff, 0xf912e586eed8ed47, 0x7cf3f1ad0dfdc464,
0xddcf6663f7011938, 0x1ff8b05251352459, 0x363af9cdfe67678a, 0xcd99ec9801e0411e,
0xb424f800014e1e4b, 0x4f089ca0fa9faa1f, 0x10c9aca6b2de4e2f, 0x2a67baa55deae676,
0x1b024dc2546f530b, 0x8d1ab50bf8d796db, 0xe0a2e1059a7f55f6, 0x6413b34e43239782,
0x4a6bb5110cb6ca86, 0x59f7ec41ea761275, 0x8de0470a24ec7743, 0x9816ec7a9da0cab5,
0xab9d87720042c080, 0xfd7857f64d9be0b1, 0xee1320f4b293b05c, 0xa2cb0290aff6bc28,
0x451588bf14950dae, 0x060726bdfb707c2e, 0xacd73a3d82b246e5, 0x7724278a2073f59e,
0xd4dbf9cfa8dedbad, 0xa317751d0f8667e6, 0xb94217565c0d8cdc, 0xf5136ad8aad1d6a8,
0x193ce8b42ce6abaa, 0xbd0dcff1991860f4, 0x78d6a189b702b330, 0xb60e8e3a1e332056,
0x76109c00e6ef6bfd, 0x386f1dd6eeb35ae7, 0x4f6d48b857117f9e, 0xaf315dfcbdbe10b3,
0xe21f313c65ec1dd5, 0xfa1bb2c06e6934fe, 0xe38ccc8b7dafef87, 0x30b7c4639e9788aa,
0xeaa495430e860a9a, 0xa48274bf62a1fb6b, 0x36107fad7d86a96e, 0xa6ade127cf4d038a,
0xd17e3c2ee6ce15cc, 0x4a3722753efdecb7, 0x3630ce08257a9e9e, 0x15a3bb7c62f6ab68,
0xc3de60931e83fe9e, 0x17d46bbb0ae54913, 0x2051e4773d0725e1, 0x0df39bf1531d9f84,
0x583d2802634372ab, 0x1f17a415046b94ab, 0x95c33b2d0b871c63, 0x71afac4a1a534621,
0xa29d49d4a7b95984, 0xeddf0ff1be1de240, 0x09a39d9a4b27ed3d, 0xe6293cd1900a56f9,
0x27c01d045d3f5a77, 0x66b43f0151889dbe, 0x3e1c61689f950619, 0x92f4b074e27c783f,
0xea27939121580a2d, 0x8534146fc6625186, 0x403506977b759fb6, 0x9ad768dac735c111,
0x80f8fe3f3e24e608, 0x82b7351107a57fa5, 0x45409305fcd56b80, 0x3db307370da492e0,
0xf6808465e018f83a, 0x02e824e37887fe00, 0x29a7f802e285c430, 0x09ffa35c45438f9b,
0x5209b8423193ad59, 0x643484538c72c576, 0x5313feb27743332d, 0xfa3618dc415769aa,
0xe1af4add99475938, 0x0ce72b028aca74ed, 0xd7a01986607991f5, 0x8c07f6b7b0836b93,
0xf1c11dcb9367a128, 0x542e031497465725, 0x1828e7d6c479b14c, 0xca72204cb1a50eda,
0xeef0670e42800eb2, 0xe7348b42db5955da, 0xe7f6c3a2a92f4e69, 0x84a845cafcb9ec27,
0xa7eb2d43fc2202d6, 0xaa3f507dc067040c, 0x60b78246b0dbfdbf, 0xaa72e2a520cb49e2,
0x25135fc22f9d5f5c, 0x2245469fb8411fea, 0xb987de4b931776ff, 0x45ae38a753dd049e,
0x3b95b0142a76964f, 0xd41d9faa037771d2, 0x7386ebdaf7381652, 0x27676f6106c8d4eb,
0x78a0d107245604a4, 0x287ff513daaa017c, 0x3d606c135fc984ac, 0x4554b122fa930f9a,
0x04fda6b0dca62578, 0x6267419fe1b4c69d, 0x93ff60895b281dc4, 0x3f64ede669a66bdc,
0x83de63aa4aea2819, 0x974b40177f54a639, 0xf4b912ddce00fc66, 0x1ea0339b722e120a,
0xb2608e9fcba3b1f2, 0x4393cd9ae5bd4a3e, 0xc26e71e42396354c, 0x6bee4735f2af252c,
0xd14021fa8a788aef, 0x4a8471a43763306d, 0xbeb09e424bfc6f43, 0x27694eb006178793,
0x3535698169914310, 0x71b6a206914caf27, 0x5d497991cfe55794, 0x4de3dedc1ade58ea,
0x824c95cbb22e4f0d, 0x0836aac46cc59428, 0x47c5b71bee0dff27, 0x11eb25f13ac83377,
0x680dc24780802d21, 0x0fcde91d3fd1a0e1, 0x58e17c40eef3cc58, 0x9e5355288ad139ef,
0x929185c99818f04e, 0xa6e8646ffd3c9efb, 0xdfc0117bc22891c2, 0x04dc7727532b3dd0,
0x49a1b7b674ac273c, 0x912555f09b9628fb, 0x4f1a9bf7c26e056e, 0x609fb6c2406eeaad,
0x77e3766b2d2b1bca, 0x8000002d215744ba, 0xcf76dabf6309fd2e, 0x0fa8eb1f62f285ca,
0xa924d0b0f7475f7e, 0xffb5091bde082684, 0x9202d6e0e0de09cd, 0xc86477d5e9adbd0f,
0x59a1073747adb6ca, 0x64edc3e7cf58f325, 0xf620ee3d4a357d96, 0x35fd4b69ac4d2fd3,
0xcad2eaae87315c23, 0x598c31c9a882641c, 0xdbb0b78a3a58ccd3, 0xb50937eac1c9f811,
0x7132b0bb847f28e4, 0xbb3e344b8c46b750, 0x6a7fef241462754a, 0x026922f6ef9b188a,
0x6cdfa708ebe6cc06, 0x901fbcd30eb060c8, 0x31a680804129ab54, 0x054fa6e9a521e2cc,
0x027956170232225b, 0x4f41e5ea9eb932d4, 0x5effe2eef3b7437d, 0x5ea89230fb1f2614,
0x1f472ba91645f9a9, 0xf395c32c6e3b40b5, 0xfac7c83e6ded30d2, 0x949a55b2a068f65e,
0x2d8a82000b870af5, 0xaa48e65fdce4863b, 0xddcfe03e3cbd8d3d, 0x612f8b57330599fd,
0x382cec36c813716e, 0x95055265347241a6, 0x00cd6a8a3358fd07, 0x312ee103e457d733,
0xb7806fc255e3b975, 0x1b197d06977ec858, 0xebc385df52ebadbd, 0x98c8ec7db11e8eae,
0x0f9194f33d2f7e54, 0xdf1809aef30d8c07, 0x66802e00ce2c0a77, 0x06a1ef55cf005f04,
0x3d1eae65dbad4776, 0x9f7a666085bd9295, 0xd31cf67644f81cee, 0x26545440ef0c49d2,
0x4a7dad778efc1c57, 0x2ae7dd1da3b75e00, 0x161e72bde5e25237, 0xa192f07c516f7eee,
0x4ddd5609ab38abfc, 0xb49c79d2545673b7, 0x7a5996778212a61c, 0x76eccb4754ac2129,
0x130ec27bda09bc7a, 0x95101557dee990bf, 0xb3ccdf1aec16f4f8, 0x1f30968d61ac74d8,
0xce841ad002d6d401, 0x48adad5547489e0d, 0x0fa3e57f72882d99, 0x169f8ab842f26e25,
0x3f5dab03dbdf25d9, 0xc9283a91ffd4093b, 0xc852704c60158c53, 0x4f1536e8b411c00b,
0x3d5c5d8bff70352c, 0x4ee2b4a8360a368e, 0xe246a46f86c725eb, 0xfc9469c042ed98d6,
0x102ab194a220d885, 0x07e90b6446d55a85, 0x2f9992df72d86bf5, 0x396d983c8061f255,
0xf58d232f68506826, 0x221bd594af273d6d, 0x1811dcaabb79edfd, 0x461a995a04ef8f69,
0xeb4a74e68dc2e389, 0x5eec3898736ad0ac, 0x4baf35e9972fe792, 0x4dcaae7730651c1d,
0xb326e776f9604af1, 0xa75afb93f4c9985a, 0x71e11f0aa915b864, 0x07b7873df32cdafa,
0xef66a0d973ffe5aa, 0x75827192e2620ffb, 0x1e42f2ee73345ea7, 0x9d70213507050491,
0x2763fff868879f8f, 0x2b708af607c7a3d9, 0x4c8d0c799bde769f, 0x6c8ce8159d0e4f98,
0x78f8a0d4aedc0313, 0xe6d5524c3f7b0b98, 0x55823a0a905c0d14, 0xf08398fde98190e2,
0xabc8b56d5eeba4a6, 0xa138fab7c379c3b9, 0xeb788d4172cc145f, 0x3de93dadc6fa12db,
0xfe490b1ec223485b, 0x6b8b9e4f295fb4c3, 0x976a91f9d764100b, 0x7ccd1dacbfa2f73b,
0xc493c69380912c95, 0x32e0ac02ef19c39e, 0x1574d945e719219b, 0xd4f1b2892e667795,
0x12dc8a60d36eb807, 0x5e29d229ad21144f, 0x49208551fcc9ab79, 0x47f122150dd39eec,
0x22eaa3a2c25170b0, 0x094a4331fb1ee0de, 0x927bb4141d9a5190, 0x5a0d27f208b26298,
0xea228584361e0a58, 0xd2551b0871780c42, 0xdb1a77245557f532, 0xfa32bac560e67488,
0x6d99f50a588126f3, 0x7049953f7774a409, 0xd488b2e305eab72c, 0xc204d13b25289f18,
0x193642c2b386d742, 0xfe2cf4780d5c9295, 0x4a540fa21794e85b, 0xb888434486bedacf,
0x4db9df92a1974851, 0xb70a374fc2091b24, 0x0b339585a556d452, 0x243fd66313cffb94,
0xf8ead7e804b0868c, 0x8525956e07a2a426, 0x3ce2d2ef7e8eaede, 0xa52e655586b0ce63,
0x4a176b21cb855356, 0xfb7ec6621f6740d9, 0xb44537b4f0a43862, 0xfce2c0dfdc2b2605,
0x551d2297828d007c, 0xf1b04f778cbbba79, 0x026b331bb21bbf56, 0xbaf1f314d1c085af,
0xbbe0d8872c98a2a4, 0x0b4a3abe8ee63041, 0x18fb743e82ac9bc8, 0xfe186e5df8b073eb,
0x8ce360995b2a4fce, 0x289c7e5b24a7303f, 0x16bc5e15aa0690a8, 0x968445b5572e3857,
0xe102d2c7d9f93821, 0xe9360f3d3f5a0f6c, 0xf1c3f26261d348f0, 0xc74ec5d834d335f5,
0x317ffabe55476d35, 0x3a2aeab6959d4356, 0xdf70dd232a3161f3, 0x46514f7cf6e70152,
0x1f6ab0283e56477d, 0x1fb8474a056d4584, 0x0fe8b9c832f04c7f, 0x8b597f975ebaa629,
0x1b93323286895a10, 0xf557ea111e0ad909, 0x974c10fe6dd4c832, 0x014309683aae9632,
0xc80cc1116b3b1487, 0xa6670f3f80c47dc1, 0xd033ce374d295dcd, 0x365e0300dac3ea8b,
0x34b1de0b52439586, 0x485980cad9d34276, 0x2732abfd8510fd1f, 0xde8214565686af7e,
0xaec5254050da3419, 0xe576d161025ed285, 0x9ed77a97867ef425, 0xa3331a4d138e349a,
0xa2164fc42a09a077, 0x9799f310785d7226, 0x1ff548c2cb69531e, 0x8ee874fbc900ac69,
0x379310e716f1b967, 0xc8464f3824a188b0, 0x3d74e1587a60428d, 0x425e164b169eccc7,
0x0d4a4cf40466f244, 0xda5f77ae7f8fdab2, 0x62ec1ccfb9456f69, 0x08cb034b58e273fe,
0xa81d361463fdf695, 0x079ace3cb10186bc, 0x8c3a19449fb311ce, 0x1a5664f6a2b51a23,
0x190d4f5bdd472f1d, 0xfa85e03b4f0987cd, 0x4f4315eca842a185, 0xcd8d278445c50ecd,
0x540462c7ae085a9a, 0x3d56f2f15e8bdd31, 0x9b5be4ba8b1c6382, 0x8e519be4a5ca0772,
0x58d01433e10bfa9b, 0x0ff463b413a90158, 0x184819f35bbbb1db, 0x5f2b6ab967252de2,
0x304f86d09d146610, 0x7d1bcb68291b8b3f, 0xb03d28df19da97f9, 0xd94682837fa6fe08,
0x7696f34b0affe0ec, 0xcbc827e777a3aa81, 0x4f14dfbfac51d5be, 0x1e1326ef581b86f7,
0xc43c52c16ee3d8d2, 0x279e60852489c309, 0xba5f69d8a99e00b8, 0xbc88e5b3744f8170,
0xefcf7198c4fae2da, 0x5f09923891a903c6, 0x1c0bb1e1a7684e30, 0xb2f1dd50aa1633c8,
0xaebece010b5d1131, 0x9e36520d425de096, 0x1de867f14a02a37c, 0x37c49b2d6d5a74bd,
0x708e41c6041b63bf, 0x2af420f11b22c51c, 0x81f73cdfd3b0552d, 0x58c1395062a1612f,
0xc40d6153abe1e8dd, 0x88971ceffa5d69ef, 0xf15b6fcc4dec59ef, 0xc86077d72d737b20,
0xa86b9a30456d5eec, 0x4b8a3e9b42759736, 0x267442d8cc0a7e12, 0xdf4b08371a2ff2a5,
0xea5a4f2db2a5ab71, 0x4ac640289b9c41a8, 0xd12ea2797153436a, 0x7ba239299abb0c46,
0x662ce9f937a5c531, 0xbea053e1bb4f5d89, 0xfccc54658c15e02c, 0x420281ff3ec48dd3,
0xc0f84ad0e973d1a3, 0x74829145a83f48c4, 0x65bd98829c57d3ad, 0xb8027108d7a2fc46,
0xf4251b738dc47076, 0x2bb283b058eb8a96, 0x5a45d4a37d3d8b7c, 0x8efced6bf027dbdd,
0x834c3b4c30477970, 0x4d44a429218c9bf8, 0xb0b912b54858e90a, 0x918c86eedc1540c8,
0x44a79ea3469a323b, 0x5b5d87181df68c16, 0x64fa87ff4904fe78, 0x1790dcd6323b7f19,
0x82acea9fd5936e11, 0xa6350c5c22664490, 0x3200c84ab9ae3086, 0x8e6c00397e564a9c,
0x49eddb52aab2f42d, 0xbd495a6f7e84e917, 0xf2f42e00d84a7b82, 0xbfb4c8a1f6d72edd,
0x50b70f3bf6f193f2, 0xfee06187928bd065, 0x6387e91a00521895, 0x47838bb2607d04dd,
0x569c187e0658abec, 0xf7b85717e7e6c044, 0xec511d0b8a6db8bf, 0x8039a9bd7502013e,
0xc7dab95256bc8965, 0xf7f70c5f8d8f1cf1, 0xbb4391faaf02b310, 0x0f840145e9d03f53,
0x298c350ae294cbc4, 0x6699b62564a80a5d, 0x64e3936e10012fd8, 0x5ece6ea819842f11,
0x17eb6f99db4e1f0a, 0xabe5916c4e98d287, 0x9ea543543d93e7eb, 0xaead23151d48beab,
0x06660b3ef9408972, 0xd001fd3f42d254c7, 0x8f00958d80ad8041, 0xde48bc56b1ba0b87,
0xb4f4367f255cc613, 0xae6b58528daf72d9, 0x129df342d762cd22, 0x4572efcf53433140,
0xa5b94dbd30fd87c3, 0x62f7fa9ae15abc5d, 0xf1065594dd10c968, 0x0cc02f562919d362,
0x99bcd97ff2591eee, 0xf4cbd1a3060c07f5, 0xdfce2d01398bd310, 0x97dff7e52c7ddd2e,
0x2630972534141c7b, 0x88de3c795ac50d3d, 0xf64fbcdb13ef6af2, 0x04fcc2cc0347055a,
0x73eb0736c5be3746, 0x63190725286553d4, 0x47165e264c03e815, 0x6275e64d6b9567eb,
0x7c82b83e1aff620e, 0xe5684f63ac5ada94, 0xe2c7ef71feb0df29, 0xe78635f2588ebfa4,
0x652711d5260bd147, 0x2056b2917aa07836, 0x8c13d3ddce7e31e2, 0x2d7119788a56cde6,
0x2dd4a43ec1bb6f2f, 0xbc25517fdea5b63a, 0xec7e7144c8795e85, 0xbf95810e90f3753b,
0x61cf15a19480b91d, 0x6896fc47232c876a, 0x0268323998c69d19, 0xc0f2f17e9ad88206,
0xbafd903f5458d81d, 0xceddc2979f5dea0d, 0x6dd8a44622973d49, 0xe890cce8bb1f2677,
0x3fd64fab693c3f61, 0x12c06efd29140492, 0x1f9a0755e07c9e54, 0xe72f78c5f768b18c,
0x4572469950053ce4, 0xe880b142d80684ae, 0x5388c3ff81da3616, 0x6be6ce601cd1465e,
0x986f36d9e5fc6814, 0x938d2a9ad959a1b0, 0xa0b6218fa77f352b, 0x7a35ebcdf2630023,
0x70541e2d66c4d508, 0xfbc9864782a96a65, 0x9adb28ffad168265, 0xf8b920ad8899be4e,
0x45232bd10610c0ad, 0x65fa338ad5be7bab, 0x35b86cb434fb648b, 0x7478ec88bab2c708,
0x505e0ed619b6fae5, 0x84ad76c5a761f202, 0x07c362748d11402f, 0xf31e8eac8aee9fd1,
0x816f2699f15af7ad, 0x07611aaec129bcda, 0x6f604d45b3f16111, 0x7937ffd72328e7d3,
0x6b0a696ed8dfb2f9, 0x142f4a57df64809b, 0x1c53d7392859733d, 0x6560f0597f7c311c,
0xd7d9902ef496f60c, 0x02678bcd95a9ff7b, 0xbf63a7986979c18c, 0xeb9918d52813600d,
0x4cf89b27fdd74535, 0x7bbad9c4038123c3, 0x376200a95c720b12, 0x5173ef1dc916c246,
0x732db4fdab8c3f31, 0xd431132eaf7da249, 0x21b605bddeebf7aa, 0x62182bbb26089ff8,
0xf3c12805db628002, 0x8a720fcad8bc1cc0, 0xf2c08e8fad7d8bf2, 0x1b04b6e38cc81cba,
0x3ed6ce6369067dc6, 0x8880b6ae8810cd1a, 0x8a4ea967c11974ab, 0xcc15eb397ecf22ec,
0xa5138e0b64ce548a, 0xd248ee7e2552cd90, 0x1ad7bf2f341df1b9, 0xc1710874b23bd5bf,
0x62e1b4623a9a9c8e, 0xa61f9c08c6f32532, 0x77c79c8716b73519, 0xc99356df93e74bc3,
0x3d39786fa0c504fd, 0x9a3a758dca40847b, 0xa8d8c3b3acb965c2, 0x8d5b6d8d9fa512a6,
0x690763471434500f, 0x4fa4d04274a087cd, 0x44f18c850f2312c5, 0xf977796dc27c69d7,
0x05b6d37ddb002638, 0x6a2ff2c394ea32ab, 0xe98003bb3a79a974, 0xb3d2ad204cb2f040,
0x6124e2a75553a347, 0x83a93ba6a4cfdb1c, 0xc2dcaa0e23b6c930, 0x3af25c98a1ee7550,
0x7aa032918ed03837, 0x4301be5d8611769a, 0xcb7a72f5031ba450, 0x03b76735ec2266e2,
0x70f7e3e285625e2f, 0xec879dcdca1ba27b, 0x048771d348265839, 0xf26eaee52c641522,
0x26e150b78288646f, 0x056764f9deda116d, 0x296d9afc4d2af749, 0x8da214c276add899,
0xc789666613aef14e, 0x09cc75bb7cb07ae9, 0xafeb80cfdf65b6ba, 0xc3d1c21eac0b0706,
0x9c9c69a72b529355, 0xd575f73fd715ca17, 0x9fe21e1d77a498f0, 0x18fc6edf60f01267,
0x91a54f5881a8c62c, 0x812cc651a9be7ca6, 0x1b5926e60ee20dac, 0xee8b5cb6c8ebbcdd,
0x89fa637fc7cb0097, 0xb5c93aaacb869135, 0xb4049058bd6af8e8, 0xd9a42499d3ff6f0d,
0x8542fd6e3114270c, 0x653d900b3f7bf9ad, 0xed059c741952ae2d, 0x0b1b7c09c918e2f5,
0x14f489a6e3c392fb, 0x13b569699b325bb3, 0x2e7f8c8162215c4c, 0x626ae0b2f7c965c2,
0xef9db9339a145ac0, 0x83cc0d3b58c3c34d, 0x263af87c9f7fcc04, 0x7471f7870153c709,
0xdb4a6523c0be463e, 0xb7e548d8a416cb6c, 0xff11a4c68e17aca4, 0xf97692912dc4d01b,
0xa31b35cbfbcc24c5, 0xc2af0099037a74a9, 0x410ffc39ee031f13, 0xb8f2eba46dcabbe7,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x1e541c70512e770e, 0xf34cfca15ffcd925, 0xbf6badce03ce057d, 0xd328f255dfd4a0d3,
0xd440845886860fe3, 0x1845dc6fbea5d62f, 0xe44184dc9397c052, 0x421bd496560fcc71,
0xa963851e3897b4e4, 0xc98faf814d82ccaf, 0x5f7b4d99a83dc58d, 0x0d2b3876bf9b3dec,
0x6dd3d11c72044dde, 0x3b3f7fa6e895c4b7, 0x25730e7cfff1498e, 0xcbf89220ac5e87bc,
0x6c715f2c172fd5fc, 0x79e3c02e028c7ba6, 0xafe7a734a1aac2ff, 0xbeb81b5073920251,
0x3703b400527d1beb, 0x39b034a4f848fb3c, 0xf2b7e93618866ffe, 0x4cbc8379c4c27dad,
0x5366b036eda202e5, 0x9d6bee6bd8a59fa8, 0x9695b156cf2d4291, 0xb8185dbc153c5e3b,
0x41100d00ec504d29, 0x3f8d071421221cb3, 0x0518d7024c75c3ca, 0xb0da09ba69535bd0,
0xc12e743c9ac84d63, 0x344d46ad2d270f31, 0xd6f63ba444fed01e, 0xc45f7c343f880ec5,
0xbb19f82b6eabf83f, 0x000691f0aa711bc4, 0x8801a326147f95ab, 0xc52742c2e36e07d0,
0x7a0403889e35a607, 0x3978e2862ed501d9, 0x3a509bc997d58d00, 0x2dbd9e21bc0997b4,
0x181914fb064c3e10, 0xc4de01a7719e8513, 0xc58695b752a8c875, 0x83b41fcaae89ecf6,
0xd2e1be83b8a204a6, 0x134836135c212046, 0x619d74ad44aaa43e, 0x9424da5ad22a1051,
0xd16f73b9ebb6f2ff, 0xf1da2b65a4cb0d43, 0x316ba6ffb2cc31b5, 0x28f86ed52846db32,
0xf9627435d3de0466, 0x02b61dd62617e30a, 0xf9b733a022dd8d6f, 0x9b39925259549c34,
0x4e7e4707379080f5, 0xe5c7094057ec3f59, 0xdcb3d9a65c54a538, 0x565d0fc11d5942c4,
0xf5c1d6252353269b, 0xeaf7fca851a0e2ea, 0xa6e774e639ebbeb6, 0x85cb67edb1d95387,
0x931780678122e952, 0xf4f0858f7c4710e5, 0x739b608c7212ac02, 0x7051abae72e8e2a6,
0xaa788e7fca29bb82, 0x4b77c20f0c3ac723, 0xfdd61248c77108e0, 0x6097ee514257c879,
0xa25eb0e336258923, 0x3843d016cfc38124, 0xf0f92e335e868b83, 0x4463b85908c0dccd,
0x864aed4f71de4687, 0xea349574f6d69d50, 0xaceb75cf52bc2588, 0x84be6fb4baa41613,
0xfdf9f4da6ca6261e, 0xfa8cd5c7dabf90b9, 0xb565e764988684d5, 0x0ac6962f80cbf39a,
0x60b0fd7f587d7270, 0x849ce0c71be03ad5, 0x0389a73c69943371, 0xc3424d63624c9755,
0x858912bcaeb64bea, 0x1aae596e126501a4, 0x6f5ed7b3905d2ba7, 0x5da907ff6f15471d,
0xe5515a5baeb526a8, 0xfe1e8a61ae1aad62, 0xa1d0b825b64a38c2, 0xbe32b5d3a9d09d25,
0x0d16d261e3f9ea7d, 0x1d81601b86bfb34e, 0xc8fff99fe2ad145a, 0xf0dcf2f3afa6f743,
0x22a617d06715047d, 0x80d7678d2d1fcb92, 0xdce7b2bc4efcb2b9, 0x47ae2b6829e6bc2d,
0x070864b1a0f3f8eb, 0xab0751a4bc34f5f3, 0x2e05674b68329c2d, 0x33cf5af1b412a5f8,
0x382d6ccc38b54cac, 0xf2bb38fc47b570b0, 0xc2321ff5c31f3f06, 0x5b549d1e53336c48,
0x1301e958d0f25d30, 0xbb6effaa77a645a8, 0xc988cd8200f34c38, 0x8f531168cc847d03,
0xac5ad122bcb6c4e0, 0xdb26ffa1fa9bdcc7, 0x03bb8e59e6aef529, 0x66784deb54136fd9,
0xd676bdf650a0a25d, 0xd9a74948e1de3fea, 0x48fa60fa804e6aae, 0x9489bea84ba2af2d,
0x191c19423ce59c21, 0xe523398fe7bd0b5e, 0x815b75a2a53d367d, 0x904b3b41e92c2b24,
0x45d36fdf654a29fa, 0x66795943313a9923, 0x5511b914a0c020d5, 0x9fed5835f76164ab,
0x8c16d4dc0d0cee97, 0x2eff99150df844b9, 0x5fd5ddbded52d673, 0x8bfa8a7ab16797e7,
0x1665ed5c53e3e840, 0x8ecb01dc6340f4fc, 0xfbeb0129ddb00021, 0xb5db4a553eb3a5b2,
0x55b5d9e505907d20, 0x730acaed80c74591, 0xdb8cce809cb29fb4, 0xe962d819179248e9,
0xa286762a183282e5, 0xf8eb767d478da550, 0x0071d5e908821fdd, 0x73fe4ae3122d4804,
0x8b637d8b332eadce, 0x607a69efa1dcadaa, 0x6c37b1bf224b0016, 0x3cd5d2303de0c28a,
0x72f2528210d2b8fa, 0x992418cfaff23eb1, 0x78cf2f99f81d302c, 0x0cce368c77f764b1,
0xe1e66abcb2f027f1, 0x200b8fce0e6786cb, 0x265b44b27002e3f1, 0x99f967e9279cc9dd,
0x8a139592525e0469, 0xdfd34d3f4ef811a8, 0x26926758b0d58e21, 0x454ac56a8e41b191,
0x6320da54a8fa2c2f, 0xfa646bff105ce816, 0x2bb72bd14ee1bc86, 0x0e3fc6013de2dcf1,
0xfe8da67fc1ae64a7, 0x4cf4c3dacdabd19b, 0x9306677aba9064b5, 0x931e55531ca3c89b,
0x4cece606c98a94b1, 0x44e8f727eab00f99, 0xc66a90ab7c35ebd9, 0x5af83923b1f0c894,
0x3f36eeae51e90d07, 0x7e6f41094ae2bfe9, 0xf01d04b80aebff52, 0xf0610d0e4219c28b,
0xe262bb76b2619930, 0x11b21ab1da21a0cc, 0xfd3a0fec6c179ec5, 0xcd64afed80a33424,
0x561ecedb948f3ca5, 0x66b684fb62265ed2, 0x9c440479d77e9863, 0x3e92adb3c92ec938,
0x92e0c573d198f32c, 0x12b850360ca74e06, 0x19056c53044fb6e3, 0x208b1b50fb916807,
0x93678a562d39c00a, 0x643e47b841c5f338, 0xb88d0bf1be352dc2, 0x67ba399af8224505,
0x2b942366edab800f, 0xa5e6ce0493ffc19e, 0x0742466642ea3de8, 0xdf1338d047f5776a,
0x4744a7b545e9e5c7, 0x389d420224df59a1, 0x75686fff51bd8f08, 0x2090c089a050a741,
0xe67b650808c4ce00, 0x07b04952ec1620e9, 0x14b2ce4513c7d9c1, 0x9f17b36e5480097a,
0x01ca00bee1339a64, 0xbaf097e355c4e8f4, 0x7bae613b98876789, 0x1752feb84e4bd147,
0x74baf4be5949b56f, 0x7718c967362bc28a, 0x3a072e42b9828d2d, 0xb7dc021c09c24b87,
0x699a36631eafdb0b, 0xc34217d01e827629, 0xaab94763618ee828, 0x3d3bee6a1f27737f,
0x694034c57ecfb8d2, 0xb916115dab74e9ef, 0x21eef37a366d86c3, 0xc6a293829394d15a,
0x9179a5024bd44300, 0x9cbfe112e041088c, 0x04354bf412a48283, 0xc27dac51a12632da,
0x82ac69910a87e305, 0x72b2023aa3f9aea3, 0xac6a98f63a142b49, 0x2f4b25a6ec9885af,
0x21cecf62f8195955, 0xfbd1d9deee15bb75, 0xc360e27524db145f, 0x31fbf06bd27bbc12,
0x9895b0f64fbdce52, 0x973abc2ae2b203ce, 0x4c84a9d9a6244af0, 0xaebc14fb688609b9,
0x13056c00abecd144, 0x9ebc4cc8cf18821d, 0xe7c1de477a371893, 0x471a7c09a30fd8a9,
0x3c064388aebea5b3, 0xbfdc3693f3cb9953, 0x1d9f687826dbc9e0, 0x932c8254711ee1d7,
0xf81305ff4d398f77, 0x4a0683867a2802da, 0xfe4dc202a7812901, 0x7bb440636a8b5e58,
0x7da29b93f58f2f54, 0x6e54b3ae7322ae1f, 0x70825360df68b67a, 0x8646f65fc3ea25f5,
0x7b6d92d6850d4462, 0xb1e1c3bbe7aed2e6, 0x7f07470fdb23b58a, 0x2c8d110490ffb7f0,
0xd4d121783aa8bb84, 0xaaed8667c84eb7a3, 0xe94b55b9202a7714, 0xddd07baef0bd7cb1,
0xdbbdb74cb14e9d6c, 0x0551ebab9ac8013e, 0x64a17501c592a1b2, 0x899c52ff612ed117,
0x919587c8c016b718, 0xa94cd5d3c4437f1e, 0xa3e72cd1cb0cdc3b, 0x0466487dcef02035,
0x34f699c32a04884b, 0xb2fb582739d39363, 0xc9aaed0441730d55, 0x8137f29b8b2206dd,
0x6017a8157622b990, 0x762e5693b88f1237, 0x51d6fd164e7da128, 0x619f3ad7cdcf074e,
0x7a719d00e60ddfb9, 0x0af3cb60a4c38215, 0x717e2def522e99a4, 0x2954c6a10e360e1b,
0x5081a8878ec2a0f3, 0x0776e7cb432b61ae, 0xc89b0aa8444e51e3, 0xbf5c4c5be5ecbc62,
0x66556f5088a1b2b6, 0x99106fa54e848aa3, 0xd6c14c76c50a6b56, 0xc5092b8651fd40ec,
0x10dbc0a985031712, 0x87e358515c6cab91, 0x8e9e0aed2c144c5c, 0x303be589027aceef,
0xc1473bb075a8cc1d, 0x81cde03b541a2d77, 0x8888815522d927c0, 0x67933ae8bd8419c6,
0xc9e3b27be48751e6, 0x976a51f051bee480, 0x79e056d92b2b0f89, 0x6ac7d54931407464,
0x405d2a4ddbe3bf13, 0x7a7a78b191d38d9f, 0x60015d8ef4ee9a1e, 0x6f07b752b967e788,
0x8a462078fbe95166, 0xf18a710a6d547d97, 0xd897bf7165091c94, 0x381fe5024f737fdd,
0xa760eb333ecd9598, 0x3f1d5b1331164393, 0xf8c78942a35ae8db, 0x70d95bde0ec4c165,
0xab0984717010b18d, 0xa9cb559104d92737, 0xe801738f8f7868f6, 0x4641705b5b111477,
0x91acbc620c650c11, 0x326160d46caac6bc, 0x32f31e8c001790b8, 0xca0ea62d7824d0d0,
0x8b867097098d7336, 0x03704c71aab8b803, 0x177c71c080fce233, 0x9155e6c6ee4b3b88,
0x5cb8ada46c25f7c6, 0x93d470871015ce26, 0x9b324e38d877cfef, 0xea46f0cd940f8bf7,
0x6cb93d193a796cef, 0xc3044b160736a255, 0x118f1a8d9f6fa813, 0xb4733baa4c03c36b,
0xfc77250f9a3301c8, 0x8e0db793aeec34fc, 0x7eb088ecaf6bc67f, 0x9d4f1e8613b5fe41,
0x4ea5eaea136661d4, 0xf118292a09bd90b0, 0x490333abdc30e152, 0x44601924a3acf26b,
0x5448748c33ee18f8, 0xd8d025fe6fb48c88, 0xb0dd0067a61570f9, 0xbdfe5b3a0290f137,
0x603cd98838e83b3b, 0x5c4dfe7f628e587c, 0x722fd24e3d633622, 0x147c023fa96d5f54,
0xbba570222a42ea5e, 0x7a97c38ed935f6a0, 0x975a0dcaa6db654b, 0xfe9e7f6fb8d8aba6,
0xc1fb4e5ec51b1a1f, 0x85a670ed76a8cc4c, 0x168593cc9eb7745c, 0xfcbe04349d4b7dce,
0xb946ef3c39139147, 0x82bee50ca4e9b2e0, 0x84b8115624d76a38, 0x23a8edeb092207d7,
0xbc349393248f5426, 0x855e3a337f38ebab, 0x1431b148d3de671e, 0x3e1e446494742251,
0xecade1c34edd370a, 0x7c5f1696d2101e00, 0xe581c6c5b22c59f5, 0xe6534943b390bf73,
0x78473c4948a43672, 0x0ff0d09d9f8fe852, 0x3e81725d3e4af88a, 0x5f0e4f583b588f22,
0xf8eaf58e13804a0a, 0x1f925f00ff68425c, 0xe4d8037f6120f13f, 0x9ab38384d63189ab,
0x1f8973744bda0eb4, 0x789a378ab86a4506, 0xd1d01fafdb8c2fea, 0x8fb14f62155006d2,
0x53aec8d8cac80b74, 0xa33919849998cea1, 0x686a5d3c95b73e7a, 0x4019dacbf2fc12bf,
0xed2c9aecb3c9f848, 0xb3158da7c7a41857, 0x5fc01dc846509570, 0x1ed6dfcca392b6a8,
0x2a17523c12db9b17, 0x14c26525dd98e226, 0x9098ff293bf2b4a1, 0xcb6f78be8a08f47d,
0x20eb9a528480d87f, 0x12fa2e00b3122f98, 0x82ad3b3a2af47935, 0xef8ac4055875b8e7,
0xd1c0abc003f3bba7, 0x7d91c428252fb6d0, 0xb039686270d5e111, 0x69cdf780af4f4085,
0x47668f566aee2b72, 0x5301376108c13f5a, 0xc4d41d4388ea1ff7, 0x63cd7c933b0407f1,
0x1bd44807ad73c679, 0xe5581cf9d8983d63, 0x5c74f87df555eb8c, 0x23c0358535bd2d9e,
0xc6a7f36d0694d3b0, 0x58b967273df30a88, 0xb9d106194f451669, 0x0cb6df68807af75f,
0xc652a461784a947b, 0x4eac38d3eaa39b6f, 0x656ce67b35ae7be6, 0x89e83414e23535ea,
0x9b900fa31bbbbd5d, 0xc6890bc42ebaf04a, 0x60c365ed72edeea0, 0x25e8dda2bf5de7c0,
0x66da97d8f0982b1b, 0xeadf0738181d59b1, 0xba39b6f4e62a4785, 0x08f59cc2a71b879d,
0x4e4d2a7ccfe55bdb, 0xc8c044e28c089325, 0x964d502de167403c, 0xf50cfd021f345d33,
0x6fa9bae7bb6d9b4f, 0x2c11f6a3c6ddad47, 0x41a8d6db61650e69, 0x1b68a05c14b8b6e0,
0xd4a45339bb1a70ac, 0x739878bebd3aafba, 0x485584d02ac3c425, 0x88cabae8109fc73e,
0xb305dd89d2b34b57, 0x1d4967992a8220bd, 0xcaa9da90ee842684, 0x8a0af57dfce8dd0f,
0x74b932c8639c2191, 0xc3c7d09e9016fa08, 0x09980871a6cdd54a, 0xda5743084b31a986,
0x9c9b9c1550f4d89c, 0xeeb7c995bde780f6, 0x1fadc3944584f289, 0x80d356117ef33496,
0x8b615e9ebb892d68, 0x12cec03341a06dc8, 0x4338add790ec464d, 0x0e96266c5369605b,
0xb0ed4061b3827f40, 0xd8817ca7245c7635, 0x30dafcae107ebf59, 0x5961f34b41321ce7,
0x4e24e74c156d767d, 0xe24579325a9e2b6a, 0x35cd3f2be4e9ba6e, 0x8b6f199f5e5e08d2,
0x418df8e67d9bea69, 0xfa26895256ddf23f, 0xe9e9e31c77f6071c, 0x2569410986138acb,
0x68f1866731cd2bcd, 0xde03a73c98486f24, 0xc3c00619f74b70f8, 0x94915df87a3b6b08,
0xcfa04937bc3da9b7, 0xfcab4fb441553eea, 0x4a90863d67f5f4d7, 0xb70daf5a15d03e6f,
0x15781d4c262f0054, 0x720763b46eff935b, 0xf12d0d7d936a41b2, 0xe03073fb0f209025,
0x9750c372edd61d6f, 0x15ea303a88334d66, 0x532b9ed0601a80e1, 0xc2e2d8e88765e7a8,
0x3ff957613800382e, 0x56e0aa88cf27f7c5, 0x5a2dc464432ea411, 0x5a3a05347ac00522,
0xd76e41e4970c188b, 0x13ba4ed0621932b1, 0x92f54c29b983025d, 0xaf7df48c8f8014cb,
0x708cdec450947cff, 0x7ea8fa9f7ac50dcd, 0x299c941ba0a16f4f, 0x5295f6684500d75a,
0x4fb1750a20e221f8, 0x0f1497f42616c22d, 0xd04cf88db362d7f3, 0x3e856650449349fd,
0x497441eefd9b798b, 0x3a18c35deb7df212, 0x79c55b05428ae55d, 0xf2884831f02097a0,
0x27b3bfbb35b57e1b, 0x2f600694febf5957, 0xe4e141044759654c, 0x29020673bd3f18a5,
0x89e9ff811a8d5305, 0xc111e3e15007c641, 0x7221fdb90e0ed04d, 0xe4b2ec9d81de4ef6,
0x9d1ccea6cac48e55, 0xc4e3af64e9f634ef, 0x2e2ed293fa14e6cb, 0xdf213806e4f03f70,
0x530ec1f6f826bf46, 0xdd584cbcaf16d544, 0x5811c4640398dced, 0x42cc4964fb7758ad,
0xfac016cd76401ca4, 0x30eaa07ca301faa9, 0xee9cbd31c2b796b0, 0xeaad1ca417c73c3f,
0x2c4784dd7d402790, 0x2c0cb6902bfc34d8, 0xc4df4866d25d574c, 0x05c5c33072bd369d,
0x0e4b163246aaeca9, 0x7e6ebc1c84f80692, 0x38de40614ca24244, 0x18d79a460f38ef3e,
0xd91696ed3e41a84d, 0x8676ddf06ddc68cc, 0x26fd1f72bb4dc379, 0x764eb86f0c67e224,
0xef7a3660faabbfb3, 0xc67d6f21dc99a89a, 0x2acede7067f7f25f, 0x1ac5e5e23be3de71,
0x08dd05affc1840f2, 0x8a7623470bbdb4d7, 0x03871265fe9c49f6, 0x1c84462ebe457105,
0xf88c7827c0751197, 0x267ace53518143df, 0xba9e9f783f4bcdf7, 0xda780b4a349d6353,
0x0a163c29556e5851, 0x3555b66f9e1be79a, 0x461c9f5929ac2787, 0x30f33fbdd2bdc323,
0xf03b3a769602134f, 0x3da0d451fd76c12b, 0xd0fe782b376e6ea3, 0x9563e3e19fbcc438,
0xbf21074b6c4d29b7, 0x24e102aa920d1ee6, 0x3d58f94654a91ae6, 0x87e008117d676724,
0x294a1eeb4f6d6844, 0xb15a658e3de9147b, 0x341d7c4452aa90c0, 0x1ee6251566e20220,
0x0358076a3c262b22, 0x128a96bc2a9f8116, 0xb6e0f026ef4c89d1, 0x1be88c2ee2d969ac,
0xa595f30b1822d76a, 0xbaeb4fd81008698c, 0xc83dcc656f957dbf, 0x69105d54572ee642,
0x8e609c68b0be83a4, 0x63151149865fc266, 0x36d4e3e60b3e64ff, 0x033f0cf8aa007281,
0xa44fd7064191f1bf, 0xd5b0716a5ef36fa0, 0x1e687ef4a3f0e37d, 0x43ac9acd9bfdc4a0,
0xc1ce6aba9c1909a2, 0xf4b2d2bc1ca7328a, 0xb509e3cbb5402719, 0x31cd90edb45c85fe,
0xd0b068c8992fa28d, 0x268763c6441f9098, 0x80808ed8fd86ab6f, 0x62261e5720efe5e1,
0xe426ef8fc5694249, 0xc2ed11760c34e710, 0x78c00ab617e75d5d, 0x8d6e513f2adf1ab9,
0x2e706c376047c275, 0xc81487ac75816ce5, 0xb28b0238003f8942, 0x4175b39de9567e82,
0xfa81d8c78715ffe9, 0x805b2d431ee5994c, 0xdff7f515d4090db7, 0x82e73352f2007555,
0x41e1fbe052953923, 0xe860774973dcdd7f, 0x0b5c6610cd3cc2b8, 0xf988f184eeeda5ff,
0x583f66dbc97ffa11, 0xe8547b337c80a947, 0x82e3d89fb588fb44, 0x4ee536a17f027166,
0x8bac2f4829b54f39, 0x1e6e8fe1bd0210fa, 0x4152f6bdfecefab8, 0x710485bde7a5ca64,
0x01aae79712cedf14, 0x3f7a5cec651c0c44, 0x5624de7366e6aad3, 0xe980c707f674aaeb,
0xe529237f2492e3a6, 0x5d6bfe2f93641043, 0xb57376e3b3f32d6d, 0x24afb802cd90c018,
0x76225270e2521aa4, 0x29e5e51c83767b9d, 0x53b4f32e454e7d87, 0xbb0ca34ae019069f,
0x25b0b27a4e6cbf90, 0x646d152f46bb9777, 0x8461d5419dc5609f, 0x8f1f31c012e497ba,
0x67bc6af80e8a2182, 0x7a6565809a50e429, 0x52e66080f7df4620, 0x6ae26b01e38edcdb,
0x66c12dbe36e03009, 0x0ff0c07cc4d02255, 0xe9fbfef252bcf469, 0x49955d97cc49bfe3,
0xf70c22eebc6be4a5, 0xe35dfe6c0c5db0a9, 0x852a033da5b1cf99, 0xda5bda9961cfcb7d,
0x5fae57c1ecceace1, 0x0bf75732dc66de02, 0x58035f5372dc54d9, 0x8a3adc28a5e1a46f,
0xb8f564e171bcf5de, 0x25427b1b1a83f791, 0xcaf50e714b539d43, 0x14792da8b9ad445d,
0xc5f5fa532cea0c87, 0xf4d66ea7436663f7, 0xc6afd726b9094860, 0x1219d329d326e009,
0xd54f1d4d08ca90d5, 0x0d82b638953ff0bc, 0x41f87dcc6a5ae42e, 0x2bb8ea8ea8509038,
0x6c091f9cf22597aa, 0x9fd68df83d09441d, 0x5cdbd4f614de9d9a, 0xa4196d7615266075,
0x703a2e1b8e1ccb24, 0x15084ab4ac295a10, 0x67b4b7e4d8ea0940, 0x0481c84ef1dcc43f,
0xf533fae486d4cc34, 0xfa4cdb26692f0f14, 0xe347cd684e90b1ad, 0x3d2888beab886ca6,
0xf7535ec6d55ed6f1, 0xdbd7fb4d78ba5275, 0x2173db9633ba2536, 0x6f86641ba0076df4,
0x5f4053179dfd860b, 0x0fa07aea481ba7cf, 0x8d39df2d19f4d6ce, 0x22441a58ff6fb864,
0x5f19faaeb072dcbd, 0xcd4d74b2e4aef1d9, 0x651177167ca39d4f, 0x7e6ba7e0a7bc8546,
0x10b7233502b50231, 0x9253297a13d8eefb, 0x3c2ccc3877b1e054, 0x0199dfe9c6cab929,
0x665623deef6e6e04, 0xf01626a8e43de6cb, 0xbbb7f6eead316557, 0x85be5103051137a7,
0x35706c57aeec6494, 0x1b69384e00ca93c3, 0xef49785b21496ec7, 0x1d5b446fb7b18e15,
0xb9ef53f08e17b87f, 0x3c5ab22030d4766c, 0x00a6813d4d22ad0d, 0xb5a638c70218cfb0,
0xea9ff995ab0ed45c, 0x3c8d21a64910ef69, 0x73ae3956bf101b66, 0xbeb299763572b968,
0xf8520ca4bcb1248f, 0x17af46fd102a4eae, 0xbe0804f77ce606bf, 0xdfc296ba8427cc88,
0x730eacc4a67ce0be, 0xca0b7ffbbe158bb8, 0xd0ffb80de9a3cf2c, 0x91eaf0602b3e4c9d,
0x1409fddecc86540f, 0x139c7c9d40fff489, 0x3b95f913b542da26, 0xbba01781e551c246,
0x34a12e73a2f09b0f, 0x32d26d8ffc259dcd, 0x6956370419f9b683, 0x499ce59ccce766ea,
0x619538bb7c47adf9, 0x42b115dd2bcd974e, 0xf47a11a520cbeaf8, 0x6dd9af5d6249ef76,
0x7ae9fb5692f1fd45, 0x0e0ced7f9e9a6037, 0x5eec4583f161079a, 0x97c2aba122572df4,
0x181a48b0ec4c9336, 0xf59a3e8ab1c6c371, 0x0c2f7eca629993c5, 0x035cb54d31bee461,
0xbdd333ce047150c3, 0xd3d2bb990bc1e6e2, 0xbc1255aeb480c891, 0xddc30ebe83e67e8c,
0x971d0651990fafaf, 0x935f3215bcbed194, 0xdd6354dd40ec17ec, 0x87441e6354405db1,
0x006ab909d044f912, 0x801c8231e9c76f8b, 0x009d3998e67d2b5a, 0x8fc6d7565f33ff4f,
0xd14a25c0593b1567, 0x324506d808c432e1, 0x240e8f9bf4264a15, 0xce7e18cf9f49626b,
0x3a218641f1ad13e5, 0x430483f1408d59e2, 0xfab57e70bacdc32e, 0xfeb7dafb0ed09d56,
0x5fe484dcf3e97cd5, 0xde516fd6911c094f, 0x0bac2b10625953a7, 0xc46dd1508da134b4,
0x494a37851c815066, 0xb998a81107a1e81f, 0xbc172637319d186f, 0x4cb6bf20cdde6dc8,
0x80e4cb1d264fe753, 0x13a61d9509b44caf, 0x32c1b469779b31be, 0x46feb69582debb34,
0xe9c4ebf07e0e290e, 0x2ecf63b4ea8245d5, 0xe93978f561e086d7, 0x4b973a34a25a0e65,
0x3e1fb008cacb8c0d, 0x3c0a1158887aa8af, 0x25ebb10567715d30, 0xd51d4a2a59d97b87,
0x45eb04e72673c0cb, 0xe32c602c41a0e7d5, 0x395dd07564ceb9b9, 0x94e66615f6a8eac3,
0x6c75bbade252a0b8, 0xaf21545653fc761a, 0x8c07471ec4564c1b, 0x5dc191b6b6d4032f,
0x2f7bbb64c2fe332c, 0x59efb2ba5ac391de, 0xd95363ee215db7d5, 0xb705b39227c9c5ca,
0xf8e4cdad206258e6, 0xd4cca59bd071f967, 0x3d74d6a89245a0e8, 0x3a7dec4842bd8805,
0x614f3f332074c509, 0x46fdefcb31bf736c, 0x7a854af7bbc99f27, 0xf2820f898b9ecbba,
0x3bd05cd305e8aa03, 0x4de1c78da5a6529a, 0x6df59be4cdd47d44, 0x0d530106ade8fa10,
0x6672b5019c037c77, 0x7c714a78d94889ba, 0x90a135c47561d549, 0xa313ba77622226a5,
0xfe671745bdef3146, 0xc8198f88ef63fe99, 0x0a84f16e8f587794, 0xa236497364aa3626,
0x5fdf12e527941060, 0x94f564db899d3314, 0x85b73b7fda972f3b, 0x722f67fba576e60b,
0x251b8fc58ba65458, 0x34d3f41fe3135e74, 0x2ce3dbb91ba91b1c, 0x1f5b2858b370dc71,
0x069e45ffd4aa04e3, 0x122a6fcca4cb6aae, 0x788ec91eef474018, 0x35e3ee811aa42cda,
0x5f4af759bc379fee, 0x4f226389be8e1220, 0x98b37df945e6f6f4, 0x5e77c46f24171a60,
0x28d145da70a66ebf, 0x89a3c010851c6784, 0xbd802dcc381c5645, 0x30c99eaa44e7ded6,
0xea15f8e3c1f021f9, 0x9b2f5651da33886a, 0x9628db308757c890, 0xd23df148708570d8,
0x51e0e641e53704a7, 0xc84ad76247fb8471, 0xc3248960fdc52d7f, 0x4a6a7e2cbe1628e6,
0x0da13848348fb3ca, 0x103abc968aa7a1fd, 0x9266528f01e98b8b, 0xa3167e2de040ce80,
0x7fee8b9ce123abc8, 0x759d87a3088767b5, 0xefa8c43869808567, 0x64d9a2b071c226c1,
0x0c8702e8263d9114, 0x0b99982d13e29d94, 0x63478fc36369e90a, 0xca4353a652be1d10,
0x9391ebdacef57042, 0xd8e5bf557b8a953e, 0x61e81bc66cd61e73, 0x8f6a88a5d7e5f031,
0xfa69742ee7fa4546, 0x9da43f846afe3b61, 0x80cf658d601765f0, 0x1f1773b83f86c562,
0x050c0b49d8092a88, 0x416f34fb5b096e6b, 0x33b4c705b0f5a748, 0x9bb1c3b10466ea4b,
0xffb4fde9d6398349, 0xf2d337814985d67d, 0x6bc1110eb2d9743a, 0x6e33c52f52e2bbd9,
0xfbc0516a368c6bb0, 0xd0d7c491da0fa9c9, 0xbe6d87aeb5da61b7, 0x869198f6194a509a,
0xaec75544e0bf1319, 0x1b0027e004b11d34, 0x31f99df8c12f272e, 0x0372651f52707e00,
0x12d33cff35e698f4, 0xe257b2fe3b3e574c, 0xb98c5048badbc401, 0x5c8488924a5bc662,
0x8f644cd678be1b42, 0xaab9ca5d98d82a75, 0x1abfdfce32ba2714, 0xdad6a5804b980714,
0xc0024dc1230eb6d4, 0x0a7c147af4b7802c, 0x6b8283a3c7c0997c, 0x3f4de1de62b2266a,
0x0bf19c5dc9db0c6e, 0x5841a5e3cf3bd0a1, 0x195ca7f25de69e7f, 0xd74db663b52d2925,
0xeb31d8e67205c760, 0xc82d4b9782d632ba, 0x0501100a99b3fca2, 0xb5033f2b1f565bb2,
0xc8ab6b5f87482e62, 0xd181833b98eb36ca, 0xd9ac858f43b0f7d5, 0xffef6f3d770f4218,
0x24107e4f77627273, 0x06ca7272af4019fb, 0xc54c84eff5466af6, 0x21ed775d63a12c89,
0x7d87f415338d1917, 0x28bdd18198d422dd, 0x0f707f505110847d, 0xd9b6c99add8a535b,
0xc6dad3faf9b41bd9, 0x423a969f9dcf6e36, 0xd9a596449673924c, 0xfbe6f174fbfb03d6,
0x8032a524bb720f1d, 0x515d1b73f9aa3b11, 0xab24f5485776d709, 0xcd2e2f3c5c142296,
0xce1b8879912a90f6, 0x14daff1635115015, 0xe91bd0080b815e36, 0x8abc88c5c4387d25,
0x979379c0b201a74c, 0xac3e724239f66bce, 0x8d1bf64cefea0470, 0x470e4d07262c0eab,
0x7ebdac56f530be86, 0x2d90084f46c19143, 0x4fd7d652f8255f37, 0x529b2e918d6050d5,
0xbdee549b7b3669cd, 0x7d8846c15f3e6e6d, 0x702b57415dabed3e, 0xec7bceadacce247a,
0xed0189d08a36b2ae, 0x061af6607feb3c3c, 0x2e41583708927111, 0xa9d2d98e142dfb61,
0xf01f693ab83b3086, 0x86797984636586cf, 0x16ad7ea60417e597, 0xf54bf08087f83a60,
0x44dddb7048da95fd, 0x7cd8c9ce9ef8c869, 0xf1e9dc98b13b4da4, 0x180778ceb5e93f60,
0x65cda16a2ae68d05, 0xa7e3239afe162953, 0x2becd78990cb321b, 0x209d1f7d571b18ba,
0x3913e4da104a4603, 0xb657b2a908186289, 0x1103a1188d5c753c, 0x69beac8e2e044a15,
0x1191cf3f6d7a7571, 0x616af591004ce866, 0x562c0d4cb03c7dcb, 0x25e9e69cea598abd,
0x9c893bf18c34026d, 0x5cd4a026ebbccea1, 0xb84f9d753f5561fb, 0xcedb2cf26617dc20,
0x25355cfb6ac8eef8, 0x41e89054ba149109, 0xad709449f744a536, 0xeffc0c31d6c1c3f0,
0x811b8d65e89689af, 0xd3ef14243d457d63, 0xc17b089e086e905c, 0xb7b2d8dfda59e6d7,
0x39c11e96bafc1cb5, 0x437fb325d5be53c8, 0x044d23f96c61bea1, 0xb9e1b5a25fc39431,
0x7d3ae7d3c39470c5, 0x7f3ef92beb2a7cc1, 0xfcc4027d0cc683d5, 0xc2d98ec1ba81b000,
0x605cc703f37f343c, 0x21bd5e86826a8def, 0x3c09ae2a942cd7ad, 0x9d815b4200880d29,
0xdbf6299819e6b95e, 0xc916e8e2899bbde1, 0xf6404556e8014e83, 0x3786a2d596b9cf5a,
0x7f5d67c8111d7139, 0x4b622a58f05041f2, 0xc1b00721b471e0e3, 0xbf468eee70943f1f,
0x93c4490009d794d2, 0x4cf2e5c461a14ca8, 0xe829a2e0321e8070, 0xafc54c729f58bf46,
0xcba58adb57142efc, 0x24acc6137f140075, 0x183ccc3e95044bed, 0xcb2e690f69b0cd50,
0xacc6355ee2fe5c90, 0xc7cfa445d7160f5e, 0x248136af915ac344, 0xa0c8d29247db50c4,
0xe6b663bf799a9e6e, 0xf379be1fd46b5b3d, 0xa3fce043684956a5, 0x8ecd5c722647cff7,
0x6e00a6c81a3565ef, 0xf2e41efd648dd079, 0x677cd643b842f654, 0x5c1ec690285cc86a,
0x1dad5afbb90e6bd6, 0x1b8edc0672092aee, 0xffecebe968c2e030, 0xa1106037c9b85a10,
0x80106dced2497cbb, 0xaf668dc37d149d22, 0x0d6ae0c681727a9d, 0xa32b7e26fcd42569,
0x7f2d82059d7e51a3, 0x2ab0b823c0b549d1, 0x203e9da862831ad1, 0xbe344bfc646e3a33,
0x2f8347f299f3c547, 0xdea019d472dc1aa3, 0x929a38d1b206b81d, 0x30ecfda394d4b391,
0x5c45f4188a995190, 0xa552c144465450e7, 0xaafce7c6e680e7d7, 0xa883aa1aca89589f,
0xa50304173c3dcefc, 0x3ad1b86e1faad144, 0x536757c5f2f312f9, 0x1bba998c0bb0b863,
0xd5e2791d5f06f554, 0x264de3bd5d6dfd5f, 0x30af2c0750e55e56, 0x16f1d67f5a9dad2e,
0xbad5885a539aea9b, 0xecccda8c8f36568f, 0x90fa3986db7bfca8, 0x7f8d61d8c0535b59,
0x854d191d772cf0a3, 0x112c948e4260443e, 0xab88aa44d854de61, 0x108bce9fbe48618f,
0xdbf35fc33772ac1a, 0x5ad75c0aba4e1ad7, 0x423c368b23720e68, 0x9bd43dbb2c238ba4,
0xd32206d188b28e2b, 0x862c50611917763e, 0xf0def702ee240b2a, 0x62e0d22b004c1302,
0xf7cb3574564354da, 0x035b010237fb29a0, 0xf4e4c357ec476f1d, 0x3d7fb8be522cb386,
0x5fbeb46aac5e7ec3, 0xfc70b12cf77dbdfd, 0x3df9d6a2eb6b9c48, 0xa2216840b6c51ac9,
0xf9c5e0caf98fb263, 0xb31104c9ed0a5303, 0x6eee780133412869, 0xb0c8fa7be4e01d38,
0x93edd2b4065e9ac3, 0x1d2c9d2e2af35007, 0x8efb80f36f437746, 0x3cc721f11b347c2d,
0x608fd166ca1aa805, 0x00b7c196cd2639e0, 0x3ec65b54a84f9254, 0xebb06c7f88ada62c,
0x4f92e9afe8db1a51, 0xc51cc40612a0c9d3, 0xcb5919738de5e537, 0xb86620f001559801,
0x5c7ff320778dd5d8, 0xb297bf16075ecf98, 0xb79f5b56f4c9cfa9, 0xb352f500b37c6308,
0x79b25e792e799657, 0xfa30a53d9437713a, 0xf92578d2848ae371, 0x6797f7c86291750a,
0x2738ebab8902e8b0, 0x5d12368d03534383, 0x5844e8c0a65708e3, 0x6bb36fc5dd463c57,
0x48bf02528b31fb77, 0x10350538b8c4a6ec, 0xe44da9159186884c, 0x5fba2bb34da050db,
0x396adc63d26a0dbf, 0x5360e439f959b314, 0xc14836cfa19e2490, 0x82f7ed6f01173edf,
0x046701aae6a3578a, 0xe09510cc79add4eb, 0x2fa01e8924eb5cce, 0xf650e2a079b69e7a,
0x6ac42f4c81229c6f, 0x4e9f1c2087b6e40f, 0x47a5d10ff7cdfb2f, 0x7a5eaaf33237eea7,
0x24d1c41d81ece71a, 0x19ee288347fca6b7, 0x7a6c32c1dde60002, 0x089d3d5f47e04a0e,
0x38f50ba39c99d80d, 0xef588c60412fb536, 0x0f5e6713dadc4a15, 0x97f8addf24537e10,
0xe42607936aaf1074, 0x18a3e1ac01bda0b2, 0xbae19df96dc1e17c, 0x9fc44fff5701b719,
0x3739577c572c70ff, 0xec8625d0532a1f8c, 0x948eb18cf5b6d59a, 0xf0704c23bdfe535b,
0x53284faff6ca181c, 0xa34afe579ec841b6, 0x33349aad9b46748c, 0x2d7f1554691fd165,
0x307621e8e95def3a, 0x2032fe24e7ba0e95, 0xf8e912374b480d42, 0xcce32cca00a0e645,
0xed9b55868ce1b444, 0x2720e93103c9f0c8, 0x9dc946f8b6dfc60f, 0x39a6a8ec87622b8f,
0xcc4c758e5f4cbb1d, 0xf4c3507637c1d9b5, 0x54285447abaf8caa, 0xa17e99de2376a99a,
0x6a8417d3ed67fbb5, 0xce09a551c62f2407, 0x874221cfc9fb0535, 0xed715c7f335e10a9,
0x0c5b46ca481ca52c, 0xd018f048faf5071d, 0x34458f6c08a30c4e, 0xcdb7052513e9ed8e,
0x91e8a125a71ebdcf, 0x8535a14bdb147f44, 0xaec1c8f586f5ac5c, 0xbae0b7bf99a3dff4,
0x63ec690e40be9c54, 0xff9ed3d27beb7e52, 0xa01869cd441edd74, 0x2d6b6bf959c9670f,
0x34f27ae68453c98b, 0xf9fb0934921334c2, 0x19aa0432dd347249, 0x4d3dd7a1febf2a74,
0x9ef327e5f74cfb51, 0x6baefa034ec26115, 0x7140ba3415804359, 0xe2466a3c371414e1,
0xa5a62195e6923b40, 0x898baf05eb4d9c39, 0x3996b3a0f33dcb62, 0x8a1bb1620eff8950,
0x1c53be39f33cf50b, 0x257096ad1adff1ed, 0xe3505a4aa666a7b3, 0x013d6134ba7ea3fc,
0x6bf1c89aaff525d9, 0xa0fc0e736f736000, 0x34e55f3f1f3e392d, 0xc0cf114f54590022,
0x1883e0a50ef489af, 0x2f2b9a58ed1cac9c, 0x44a12be7ed36f3ff, 0xd6e110a11207cf4c,
0x9b5d5d222670af7e, 0x12e8c886987f63f3, 0x5e076c5a90cdeec0, 0xa72d9fb919ace8f0,
0x520519661edf0d2d, 0xf0e6a4a90750a054, 0xbdb2c441fd2a3f74, 0xb872d9d9e4776049,
0x41d75f0b290c1035, 0x4f06fc001bc708db, 0xe381f601a2b76bef, 0x2629a472fdc84af1,
0x52ff42a03ecfb4ae, 0xe5dd6ba8acd5122d, 0x1af68b4433003501, 0x6db024179e96ed70,
0x2b9ad5db44fe10f9, 0xfddcb617d95b943e, 0x02bdcbcf2e147139, 0x44afc5dac6a4caf9,
0xa009608bddf5fe05, 0x5978803cd0366d87, 0x86a428e6252358df, 0xe49709b8e8db8e9c,
0xd5deb751baf194fb, 0xd5902cb05ec7ef2c, 0x44787e411c521184, 0xddbcf7d09fc23cb3,
0x643310603a0802aa, 0x32ccf135e62ce182, 0xcc7df710a3025b2e, 0x611e505be4206f88,
0x23cc5978137eead9, 0xcbea00fb135ce56c, 0xb29de0e04cd38312, 0x8c1308ad32279a66,
0xcd3e2459e1ab0aef, 0x216a9c9611b627cd, 0x98bc251f7eca2ad6, 0x9f4f1d5e89d71efa,
0x36c637858ab5eae5, 0x305c532c1a79e6ab, 0x238457ecb01afc37, 0x5478cf7737698637,
0xaf3257b917110270, 0xc8da149b7e6f45a4, 0x30186f92727482b3, 0x081f403a4ce80c8c,
0x42a4b9cd81a07db9, 0x6ee93d3bf6d1657d, 0xf5bd8b3994033b44, 0x8faa1c39e00beca2,
0x191faa12c20986ef, 0xc4147a8c23752e2e, 0x608d2bdf814e3f01, 0x5d794c4cffca8113,
0x2f91b82ebbe33b18, 0x3fed2044689fef2a, 0x0ab76806b4f10d56, 0xf787c4a2b26fc3c1,
0x49f2dbe75d97957b, 0xdc6a7e884df4d2f4, 0xc4675624785eca0a, 0x10cf7afe7804daa3,
0x4d966435ff491393, 0x61dfac6a9e55e0ee, 0xde3879d94db709a8, 0x9ef0d863662f8257,
0xf56def24c498c0c5, 0x6ced2b1f7970d8d5, 0x20bb1a43ed5acecd, 0x91ebf0263cf74014,
0x03a6bdf43e88043a, 0xee49f7dd5a369f39, 0x076dd4bcef99fbb9, 0x8aa06e5947b4699e,
0xa200f57d8a93d052, 0xc8c84b478dce8e9e, 0x5f80d5ec20ce3167, 0x436a51f5b9d42d73,
0x5bc0a3233d44b16c, 0x9d4be201e1745983, 0x0a7c2c684f1abc18, 0xfd02f132754047d3,
0x151abb02a164fd5a, 0x76c41044e19513dc, 0x1a495d8520defda0, 0xdb38bf832f7cfd87,
0xd5595a0ba7dfac34, 0x7d73721c77151f6c, 0x3d94cdfd9ac740d9, 0x1f30dd516678721a,
0x1e1ddd998579ec51, 0x2fae0d16b519bb97, 0xff8108ddfcf892cc, 0x33be2d63886e6a4d,
0x76ec3569e2419dbe, 0x2e8fe6991bd65185, 0xd21fc89f0f9aea76, 0xc4527479fff574b4,
0x5e6a3350ea9dea45, 0x2a632685da3e2fbd, 0xaeab719fdf07c663, 0x0b753b179fc15019,
0xf3f5a8a3cdcc902a, 0x65a0bdfef8b1d605, 0x58d68aac1e5ad17d, 0x2e3c5060d4bc3bde,
0x7dadb3439b6ba82f, 0x5c279953f49f6223, 0xffbc7021e3adddcf, 0x6e4e36dfb1efd724,
0x6173345379f7ad00, 0x6ace8d0917f57d85, 0x755434794ca3337b, 0x6fddd67da818853b,
0x92fe6a49aae60643, 0x07a5d11c02798e55, 0xf03e282173c16aba, 0x709895d4a19606f0,
0xb903efb73967be35, 0x4277847ec748173f, 0xfe00d8baa8381c7d, 0xce4fe4832dbb327f,
0x66e66ed36b3d29f1, 0x55c15ec18d8f0dab, 0x9b78987c211547b5, 0x7276dd142c3c8179,
0x8af87b41155573bd, 0x8bc80d818fe6cc62, 0xbc0247b9b0e99905, 0x6953e198813fe3e3,
0xc57c535afa4b6417, 0xea35384510c44793, 0x9ff7248d6b9f7f18, 0x7edb43a68b26d13e,
0xd2afec7cabcef686, 0x58e27b88e4999de2, 0x93f507b934ba815f, 0xa3bea24c3b2bcaef,
0x936bc3cb74ea28fc, 0x1049034976cdfc08, 0x5ffa567755a6f3ec, 0x6f246ef4f0f9b7fd,
0xd4cb878e65ab4d92, 0x33cbf37816c69315, 0x8578962dcec8b94b, 0x4e8744c1e9b91e04,
0xbb5f2acc3333654b, 0xead375507d82b21e, 0xc5bd36b91787f7b1, 0x99e2a9abe10c3d48,
0x5b8f927facf76d9d, 0xebd075a29a58937a, 0x1a2aa08358abd181, 0x3c442d9a564ff679,
0x4856acae05de0547, 0xf1c3a136c13ac915, 0x4e77e29156ddb629, 0xa22d4c8860b44341,
0x959b8a4a097e8315, 0x5fb9c1b5a66d0d71, 0x1ccfa9c23b737713, 0xe818493bbc436232,
0x03376127aee296e1, 0x5715ae4a5df418d1, 0xe3fcb0a8ec00d617, 0x43f9e2669b446dee,
0x56b55c3f9cc84f4f, 0xe78ca292dff31bcc, 0xed5246042dd588f5, 0x438968aee1f139b0,
0x08365669ef102388, 0xe04c70e4916e802d, 0xa32c6e76673bef96, 0xd3cae06130e8c2ea,
0x9daab43cc7cd9f8b, 0x8fd6145c40a4d438, 0xacc6b2f7fbbe3c65, 0xb34e2840bad9c7e0,
0x0fb4a33846acaf62, 0xc3c3924479179a32, 0x5ad79428d9a5a083, 0x4881d3f99b803cc8,
0x4b8c584624e818f7, 0x47f6691a0b9e6e8d, 0xd7d8771cdb2f8d3d, 0x1a5a5989b5381fd1,
0x7998ee467f1efe81, 0xac02d1c33fe261a7, 0x332d5d71e63702ba, 0x922172db372da20f,
0xbc25fd105af7f302, 0xbaba8cecb5e8961a, 0x358e7bfc84e999eb, 0xe74813bb1f364914,
0xe16327e58ab2028f, 0xc7f7c76397c927af, 0xd6e11f74422cecc7, 0xcbc56ccfc0173fcb,
0x740551f173246ce8, 0x0dc4ba18247800f6, 0x7410edeea18dd3bb, 0x37d82984b65d3cd9,
0x844c40f233cd939f, 0x353e8e2fe3122269, 0xa9e884e357a51aad, 0xad08a43a002abbbd,
0xcb9651aef059546a, 0xd51369c33efa3902, 0x9bff1f325e7abafa, 0x6edb693ae94065ef,
0x17b39083db27cf42, 0x74f318c81b61d013, 0x3d379e1bb021575c, 0x42a047b500b09525,
0xa18c594383a064ab, 0x2fd502802a71cada, 0x2564268a5a6a975a, 0x8492edb0fab8045d,
0x3afe3fb3b8b16036, 0x193f0d66cbc88695, 0x94f1f2ed33882863, 0xf206f47b7a4febd9,
0x6d2d77ab4c8d9fcd, 0x722328087827f6cc, 0x6b95796385c74a0e, 0xa57d45ad50382344,
0x8de7ed4a217234f4, 0xa8e53d32b0158058, 0xeb11b0fe23fb037d, 0x879bef4e87669b43,
0x148d4f3598ebc21b, 0xe4b566a9e47372cc, 0xda424e7e105c1f8b, 0x1c6ba65609042d78,
0x932a62b775e356a6, 0x5f3d1de668b71dab, 0x4aa37159a80a7f80, 0xc2e847785eccd0f5,
0xf505763031cfd353, 0xe54b8c25f891d30a, 0x346bbd0e6285a422, 0xe881092ab69e9319,
0xad007973bb1caa5c, 0xd6b84c9d3b720764, 0xc35538e1c491f47d, 0xd621863b5dac5502,
0x05eb6818f66dfcb9, 0x6384db36e3b3fbdf, 0xe6ae277b14a6959d, 0xd73ff1b41b6bfbf3,
0x6297cef45d246cd8, 0x3cda64e84bebd99b, 0x80c5bff15ee5c7da, 0x342b55b4b739cc78,
0x8564653e1ed7ea27, 0xd934eb7426ba2305, 0x9b2d6ee44cc82c81, 0xf6c2b89d5c1cca10,
0x762cf4b1ba5619da, 0x19abda57b2cf51f3, 0xb173158954732121, 0x103909e6fa5a19a1,
0x93bf27f5b03ba2f8, 0x8af419fa775d0611, 0x680b5a80d88b084b, 0x9d072d85a1c12019,
0xdc181af3c2eea2ae, 0xa9bfcaa8ebe2c9a2, 0x69758853ddb7efbc, 0xedaab665c71da2f1,
0x920a1da9d39a47a2, 0xc3a1a5f93ca2df93, 0x86a5a8ca12bda254, 0x6e1ad3ef7f55e4cc,
0xfaaa66e13edaa7e9, 0x6e5ddd9c96f66c26, 0x2864c17aea2b7e29, 0xbab2ba405f6373ad,
0xcccfce4b309ab156, 0x537ac8940592bff5, 0xe3c5e009807fc5e2, 0x156cbd7eb477a3f6,
0xe6f9f10dfb0a0e55, 0x9aa6f4fc5664f2d0, 0xc282d86703523f3e, 0x0d866f100297c057,
0x96271a76b8b85bec, 0x220ee9c693c7358e, 0xfa47f8b10c93c613, 0xb4fba10fff4390a1,
0x63165b47063289c9, 0x395f03a242cf4af2, 0xa5b6c713ac181df8, 0x41d2f17efa58d9c7,
0x50fdf5ec40e2b376, 0x4c77f025d92506e0, 0xa96f6f22cbcfe05d, 0x3c18da2177c52c1a,
0x48a975ba65a2e1bf, 0x3bb086c0b07b6626, 0x0bc61a75cc2690a8, 0x3f5374633debcb37,
0x360b219fd9dbb2e1, 0x3e1eed006207d5ef, 0x8a7a98a7b1a1c5c7, 0x28909be1ac7b48ee,
0xd986a2f79e30fc97, 0x12878ac8e96f4170, 0xaeefc88149995f22, 0xcd0276fe5f26eb9e,
0xdb5d423e2aaa46bc, 0x1edd91b23397010c, 0xd6aca77eb717fde7, 0xdb18f1b78e1ff7d1,
0xeea1d95b3177c539, 0xf0cc9c85af103f7b, 0x3cb167ecd3923702, 0xd3f2a5a5b23bc179,
0x13e21d46f2cb3f65, 0xf07d5cc1f321fd6a, 0x062c86312a4c7f07, 0x615ddff7f2970df4,
0x65241783135029e0, 0xb101f721763c50e5, 0x4202b8ce089906bd, 0xef5d1570aad6665a,
0x294db18714531e94, 0x7b6607a9a561c8fc, 0x1f580c18220cd459, 0xb23b9d691f8324b8,
0x4aafbff9023c8df0, 0xe362350850cd3b5d, 0x8091aadd6467829c, 0xeb9798233a9a81ad,
0xade8f49c225d73a7, 0x8c5b9908be4ec85f, 0x0fdc05d8b043bbeb, 0x563136f4e1050ce9,
0x6ab29dcad125cb64, 0x11061ad0651a2362, 0x4c9b7c2933866073, 0x86a704d539e9541f,
0x98c397bf90168d4a, 0x99ad03023406bb45, 0x4f329c4f82842e91, 0xc02ded3c6964c15c,
0x6f5a182f0081c8da, 0x7805dd8633f78d42, 0x95cae82533c6d1cd, 0xbe4846508b648550,
0xa71d8f622b54af50, 0x4baa7b8d2c8863d2, 0x9a089de4fecc8638, 0x9e29146ace0d1f57,
0x272d9903b4cf59f1, 0x0f58f4628450bc7e, 0x226194b91d99d0a6, 0xa66770bb2b56bd89,
0xda1d0210505e1cfd, 0xb5ac2893a624ffea, 0x2fb0b85aa830fb2d, 0x6757491e0509aa95,
0xe4c696434742469d, 0xc0cd6f059d880fc1, 0x307c2a2a6da4e3aa, 0x60dd2949cad0e0bd,
0x2a5298038acf4ac8, 0x9fc566dcb1bffea2, 0xf65fc70fc6ab132e, 0x45ce107d03829e0a,
0x33d21576eb7fed70, 0xe57f35d14dfe2f12, 0xe76645d9f3b75b17, 0x6651f5077ccba481,
0x8b9ae360daee58a8, 0x8552573e0edc7ee9, 0xd80dfe83e6c86e9c, 0xb26e29459e61e79a,
0x818b7f9a7f93c276, 0x4f8137c31ecc9d70, 0xffb165b23a9b2a70, 0xc25875ddd191789f,
0xb3625285514bb82f, 0x8f1273bd2346316b, 0xdafeb11694cc28b2, 0x2ec1894813e07f0a,
0xeee61d38ed1b6aa9, 0xae7c9e7a5cc85d3f, 0x3785e7b4f7742af7, 0xc8b224bed3f745bb,
0xd4b37d583dbc42b8, 0x8660726ff6f25145, 0x26bd6a404e1804e8, 0xe5ac91cc64a147fe,
0x3985bccf95351319, 0x999458ac899eb4eb, 0x6a6ac63f7167e315, 0xd9e162a06b4e7036,
0xe7eff0b30195c8ba, 0x07e74a3a0a9dc0f7, 0x889507bbe7bc4f3b, 0xba92d036f2a7bc57,
0x5d9156aa97b2d908, 0xc91109d1f306fc43, 0x2b6514c30ace3f3c, 0x16fc59a56fa11ef2,
0xcc664c2d18b83e82, 0xb297972dd36ca51c, 0x265f2daa31369729, 0x1e3a2f5a31842e10,
0xdd6ca4635d4aa6d0, 0x4ca6779902250192, 0x27d8228666525d39, 0x45f59acd15482679,
0x958f894c69386f0f, 0x1abdfb8c1f6e5756, 0xc69c1f045458a346, 0x38b3afe2052f8a2d,
0x4078d5ee1feba16a, 0xf1cd4e923fd45df3, 0x69dd3722dea6e351, 0x158f3c258af81211,
0x8d2bda807ebf6c21, 0xb8c1e6c894c26210, 0xcade84233568ff55, 0xe56c96e63d5109b6,
0x2945b8751c0ba49d, 0x051f802f1fc88fe7, 0x8a75dd211340207e, 0xa8b92d8f2a8707cb,
0x9644db650cdd2fe4, 0xc3d23cf03977fe01, 0x6313e1bb71dc2ec8, 0x246551ac3d8ec019,
0x5b4a6c9528601bee, 0xfe75fec1b28c5ee5, 0xf72f66737b86f316, 0x7e641d40b204e42c,
0x483ff8ea89e82039, 0x561a2303715633a2, 0x46719e9415a1e08c, 0x956efa06711ddc74,
0x2d35ff2c23b9e65c, 0x4357b87531889ba0, 0x0a07811281787917, 0x2213ba4a2cb9b5e2,
0x2b4d8bc6c175c597, 0x5be555e25a12c7e7, 0x6e18d7121915f99d, 0x853b74f588396a11,
0xd093260fbf5f1f40, 0xcb53772dcd478dfa, 0x1302ea7a411dd070, 0x53f5068f0eb39908,
0xb07cd5c3411acbd9, 0xd387e108ba20ce4f, 0xe8134b53e92f6f88, 0xc91dd324da5ee045,
0x48acbfaef216ecc6, 0x86497dcff9b3c6b3, 0x112b22cea4bbdf2d, 0x1b70d2ffc21ceb21,
0xcc158766af268566, 0x5d2032b51cd7da99, 0x4b30323c2d5cfd15, 0x2303a5a2aa2c1a27,
0xb2f3374f6e67f51c, 0x28d0a0787fa49ecf, 0x9988874205a5fc98, 0xf2533549ef2b440f,
0x8a7381ee3a0814ce, 0xa583db2a4d46ec8c, 0x2c5014909e04066a, 0x14c2aebbb2a7ff7e,
0x66c1fb4a678bcca8, 0xf0fbe3adb69a2861, 0x1282af346cbc0204, 0x72b63c7d1b3170c5,
0x92cb8940e7e6fbed, 0xdcd7146983b485bc, 0xabe59a87e152f788, 0x3dfe716b4775acd2,
0x0f6aa6d15db1a1a4, 0x06a1b1ab965efdad, 0x20a1fb80b7010acd, 0x44c86034b4b4bcdf,
0xbc145f8e5305e97c, 0xadaf6b26a18d6219, 0xf5c7291ba26290d7, 0x3ffab8a27a8db052,
0x693db2ed8607e8b2, 0xc7e23d342e30d934, 0xd3488f4396b3ea6d, 0xa33b65aa667eed1a,
0x8850ff59d62e729c, 0x0768907c70d5ab7b, 0x164ab173f43c6dea, 0x636ba832f1a21915,
0xb1c57941918310ce, 0x4273508cf4cad76f, 0x13e1d3a9aab7e837, 0x6e92703feb9dee23,
0xe10372de74e5f6b0, 0x48df1fe29f56d2da, 0x308607440f57f6c4, 0xff576bcd45645482,
0x615c242c28a03db3, 0xf1c754bbcb2b5715, 0x0ea7fca5d3598bfd, 0x9fe34bceb9148ecf,
0x51b8ff98c6e10c7a, 0x8943abec8e83bb57, 0xdc97e28a6f686122, 0x1ce3460a7a2afe2f,
0x0ee0e9fb4843b9c7, 0xe5e9e9a943d18cd8, 0x640d5b5b25f7d5ab, 0xb81676035309fdd7,
0x2b4e26aa6399404d, 0x70854bf02df5a358, 0x395d6d4db7f237d5, 0x2850189822c95984,
0xd7ae9188d35e597e, 0x029b7566aef51ff3, 0xda9c9d207b36db37, 0xdfc9a89c2f358218,
0x8c2cad92d5a1a985, 0x7c3801339827505e, 0x747302134eae3985, 0xfa4318c56ec0f773,
0x388c4e7deeac0d5c, 0x394dbb17b16a369a, 0xf005a583ffdc4a27, 0x29954e8940b373b1,
0x672bdc54378e354a, 0x942242ac97be2ac8, 0xba805662716cc7e7, 0xe5d67e0ddd2b1f0a,
0x0f38fc56cfce6b30, 0x8935e4ce4b26b1e4, 0x88dfdc890a4e18c2, 0xad2b208bdc49e390,
0x329eb6236ba0cbef, 0x3895d7a424dc7f8e, 0x8244bac2a36eae52, 0x28c3b33458a663c5,
0x3e5cf117677841cb, 0xb42f3253c6cd1f86, 0x3e4e870bd9da22df, 0xa96c8ed9a585f0f0,
0x3d00f92246666fca, 0x3858bc5803e19cd1, 0x4476d8fe1d390e14, 0x0d062e1c57e7e670,
0x15702155eeed580a, 0xe91f5a8901624989, 0x1e7172ec72a681d9, 0x56b8f3e859603611,
0xc9a997c286777135, 0x0331adbda5d96c36, 0xba3d91628358f466, 0xbf604ce7cf8e7cfa,
0x183ec2b2815db517, 0xb83a079b7ddea6b9, 0xc66dd7c82bea6f62, 0x745332073b8c092c,
0xcc806155f6441760, 0xc04b1806d6841186, 0x27a9ee4401e83103, 0x0d7aa2167cad5bde,
0x883e309ee57d6571, 0xc0b22063ade52c3a, 0xaffdfdef083b7e3f, 0x01ffe2c38ed30c13,
0x91aa83258d1ae08d, 0x5268c1ddca3e676a, 0x7f05f24d383aac47, 0x5a9fade0e33fd84e,
0xac62336b9dc0a58d, 0x08475c00611b82bb, 0x25812e21f474079e, 0x3865ae99daf7d5e6,
0xef5a1f19529f7238, 0xbf7c32bd1324ef6e, 0xeb7990cdd591354e, 0x0b7e9b3568c9295b,
0x9b6a819ab48f66df, 0x447fc94665ebcbee, 0x5fd1f03c1820cf4d, 0x55be8c7a1c49002d,
0x4f8fce645fd9e856, 0xfdd1f3a1179585e7, 0x0ff84dfe5538dff2, 0xd86cfca818fd5e29,
0x5051a6f4cb8f1852, 0xd83099f031edf12b, 0xdc706daa54d16236, 0x6733c541fc554412,
0xdbae200a9bcadb00, 0x30d6e2b46d1154d5, 0xfc7636afe105231f, 0xc5efbe0b8eb5c691,
0x2fa645e788f9185e, 0x91551a05b32dd160, 0xea66cc726f1ed338, 0xe85005c70e5270bd,
0x5b0282fe6eac99ec, 0x875f17d234da5565, 0x76f1baf856a378f7, 0xacb6eda56d8308da,
0xa3faebab6fe719e6, 0x3193fee2814307fd, 0x12ade73dbe2e1cfa, 0xffcf5218052b80fe,
0x2230127dd53288e7, 0xe3a1541c84e73ee9, 0x86e30597eb25fb9b, 0x43ea8e9e03580663,
0x940aee3fc662a354, 0x8bc6247708cc2014, 0x4441142c9f724343, 0x66ec0c9038c88f34,
0x2d9da13e78e5dccd, 0x37c374f0e412b225, 0x972e29a2b8d77113, 0xfbe2c8e22810bb1b,
0x692728c169b58302, 0x366ab521e3db6756, 0xb2eb35735acd6096, 0x32e4b3f16c650eaa,
0x6e303652947e2566, 0x2586049a9745f841, 0x5c28b4155238afcb, 0x960e7c2aab1acd26,
0x1249f7ac43cf4ee0, 0x46220bfa88530db0, 0xe0e52f5cb657df54, 0x7a7f9d7615453d49,
0x218574431ac3d76d, 0x36e51e9795e0ffc5, 0x8aa6663adfbfd091, 0xa116d08d09023191,
0x51ab88f25e2149bb, 0x52c7435c768ef4a8, 0xe89cb1028057e2d7, 0xbd0543cea8e0fe24,
0xaddb77fd1c72ce94, 0x93ed9589d3061377, 0x1f47f77afff3106c, 0x87daa2162a22a1b5,
0x6e3e3527c8082abd, 0x800a6727ffe8a64a, 0x320ac9a4211d027c, 0x884337f730ec7d96,
0x5370fb653a989feb, 0x8c64ad1fa81f87bb, 0x52d19955969af256, 0xa0a067470800a975,
0x680c4fec6b788702, 0xfbb999858af0a498, 0x7848d5b86a9a11fe, 0x6939d3440cf72108,
0xfa401ed34e48c849, 0xa5a38c9eb063adf0, 0x12632c9eb3b1e9ea, 0xba77e48c5fb1cf34,
0x6f4291d533197e1b, 0xfa44065fa55b5536, 0x0a7ce048e22d4482, 0xcde9174db5f3c081,
0xe73d378fa5d27c5f, 0x97e219909976313d, 0xaefbcb34d9cbdadd, 0x5f8583bb43266ec8,
0xcdab1ca34f92926b, 0x575714eb73339bcc, 0x4a419d4a4d4dc3b9, 0xde33777e8e8f3e17,
0x6044ff9d22d88560, 0x7d8bf7a6cd9a9d2b, 0x1ba6853ea2ea2f98, 0xe209ab75d012d925,
0xb9a915efda8a090a, 0xeac7d5074c7adeec, 0xc5d31bca566340df, 0xbf77e4e09e458553,
0x90f0bd0267addb93, 0xb322c412ffdc1721, 0x1ee2b2511ea85175, 0x3a68585b0f064e3c,
0xf9d6ae07dfa30ec9, 0xe18282eca1ef9f4e, 0x702b952c95aeb29a, 0x111a774e8aa644ba,
0x3ea15a430715143c, 0x0b81af2c78cbaab8, 0x31f3775db062ce0d, 0x9765017ded5e42ed,
0x7f60536821ab902a, 0x06c14ed3e061f4bb, 0xcb398f5a59064dfa, 0x3d0d13df88740a02,
0x51f55de210a2d733, 0x0df3166f909b5024, 0x7a3a913a9bcb153b, 0x4e9761541f28125a,
0xcc5382c1ae741e9d, 0x1aee13d030dc97bd, 0x77da261184de2386, 0xfd9f5e4201c16cd4,
0x31b6b8d02137a5a0, 0x243b7d5dd6922fc6, 0xdccd5ed34cfdf97d, 0x4c42a290733d094c,
0x81cb64b005dffaab, 0xceedf9b0fa40098d, 0x77d66ca2919555ac, 0x5bf6d382bbed5b35,
0x339d9e61a19ce4a1, 0x2021d282fd8da982, 0x0b22a0520fa29817, 0xa5f34976ae5e6dd6,
0xbdc5155c0bcce6e1, 0x7e76c4b391f58bfd, 0x1d931d8f70f02efe, 0xd7157b1f9fd21320,
0x6d615f9ac3752867, 0x0bf5ec331b7113cc, 0x30687c33af4d2792, 0x41fbc90331db3475,
0xeb877a26450bb3aa, 0xdb4fef64835a5568, 0x1fbbcd70abef7f89, 0xda260446f2420d9d,
0x4cae9ce772878a80, 0xff2cf3871b4be1d7, 0xa8d4eb3462ee279c, 0x467b706c5974af82,
0x706555a72cc72f41, 0xcc1930f215f68005, 0x24ed7f635128e3a1, 0x68fd517d0385592f,
0x6747f565375a2bd5, 0x69298f19e725c64d, 0x3cbb04d5e08cff53, 0x22794035b9e2c5ee,
0x83cc3a05cda514f0, 0xaee0aa787caa608e, 0xb28b1442d53f59ad, 0xa86e1e51c1d9931e,
0x795ad288689053e6, 0x31a8b13cad9577c7, 0x1c65400b1135ebb8, 0x5775ad86bbae2ea0,
0x0584e703f6601337, 0x5a3518e6aa7b4c53, 0x8be31e21ce178141, 0xa67123ae3e53bd62,
0x376ebedd521ffc5f, 0x6126896b4462aca4, 0xe09fb6a4da052f9c, 0xdada8122c9f201db,
0x2cb076048551c57d, 0x7d082d365f84ddf6, 0x5add57c23da58b88, 0x0486d2a14560c05b,
0xd4bebdac1df9b632, 0xefa448508476a8a7, 0xc011ca1dab569b7b, 0x2cfee31c3a41b44b,
0x602767278f18adb6, 0x09e29c4fab06f23d, 0x1337024e5bf88022, 0xe21c1d17fb2f69f5,
0x4f73f87e46b83b48, 0xcce3116630c17144, 0x419ac4e68cdad0ef, 0x6277222fdbb2cc81,
0x21df68ad27035d3f, 0x6988a930239217eb, 0xb5327c50b965b9cb, 0xda106556517d8071,
0xf221356608e871c5, 0x808265814ca8c000, 0x694921435e917dcd, 0x736ffc7b8d5290cf,
0xdc222713ae236980, 0x873ae7df3e82c147, 0x952ecddfe474373c, 0x7f359e5b3d37ba48,
0x97aae065f981e945, 0x9838f7271e38d48b, 0xfa6cb6b6775a2290, 0x34838de76b7be32d,
0xb66bc528052eb0cc, 0x21328da6a3095607, 0xaad40ee65a661eb5, 0xc993d06eabd017e8,
0xb63bb345c9d42405, 0xd7bce8254f75985b, 0x01929ccb2840f45a, 0xcf6b5d01a952ce02,
0xd27ccae375229c65, 0x05a329ddf3a4f801, 0x399d2c0511e26eec, 0xbf0c6ed6ef76c219,
0xc73c191c0810a910, 0x9aeea91be26c912d, 0x53566c9f2e26508d, 0xbfc9795a52f24a43,
0x2a223429d28f207d, 0x10c75713c533c581, 0xd957dcf08527955c, 0xfda8a222d361eaf2,
0x8866391cd948dd4c, 0xb032a7be57b7bf02, 0x729c073e996a61e6, 0xdc59b997046858cd,
0xe9f91435e50eae92, 0x1778f3ddb80fdaea, 0xab346f663ef8e4cf, 0x9b6f5e5a3b02dc75,
0x758a0a7ead8ed235, 0x2db90d15c3188e72, 0x50f39b5604ee576a, 0x65716847b8ad6629,
0xe2aadc7947dfa9a8, 0x87fb38b0108ecb18, 0x0fa90a6125d31363, 0x12976fc4b5de242c,
0x7e85f33aa17519ee, 0x65c91f8f42b5262c, 0x4a593245a36ad9d7, 0xfeaa9c71cdcf4442,
0x20adcee064915a4f, 0x6b90a0c5bb62799a, 0x3a845f65e2af0a01, 0x2ddb7957fe6bc200,
0x1601822c27493a1d, 0x94d23a0648d48a1f, 0xa6dcba0e0fed7693, 0xcb901cbd11e22bd6,
0x2618b164f2762955, 0xf1fe2f884ce2d364, 0x01793b19600d5a3d, 0x0bc26b926b33ee75,
0x4b7425346a7e533b, 0x05a4ac22ff302965, 0xae95661ff258f2d8, 0xb61edb9f9710343b,
0x5da5d7da84112530, 0x2678f20158d5278c, 0x8cbfa163d3b22b8b, 0xd864ab3a2657f88b,
0xf6b1cf066a96103a, 0x6cd75dc41f6c2f39, 0x3376ba9207423d32, 0x434f12d36a7153ad,
0xad106df268673835, 0x880233bfd965a543, 0x6b1b21ce97a5de03, 0x61ad8ad7d6ac367c,
0x88ce317dd953a182, 0x4a4dd162b6f0f5f7, 0xa82d7036142ec365, 0xaa72a4b4f1034a0a,
0xdbb642fb44debfca, 0x4e8004f207df3da1, 0x3181642a5b29905f, 0x1481e9ba1981eba6,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x07c355675c42fab2, 0x415bc04c0bffe00d, 0xf2f7b28bba0e588c, 0xa78eafea783a3766,
0x7ba2defd1316e511, 0xcb726b9ceda99eae, 0x35adac35c3c8baf7, 0x9a444260de1e5c0c,
0x38a5261df7dd51dd, 0x1818f3a3a5a448c3, 0x4a9589257431c6a7, 0x8f6bb5274656878f,
0xf952d8f932b512c0, 0x9712b336a52eaf07, 0x4d77d00a8060c5c0, 0x8ee0313f86442c4f,
0xc650ab2105e8ff50, 0x0e39578ea735a125, 0x40fb887db6cf0036, 0x996678697a2c908b,
0x6fa4f7d521bbf86f, 0x2bb7a675a06ce37c, 0x279b005eee88862c, 0xe468eb075c2ade64,
0xbfbe3e333acdc97c, 0xb17f3a57be9eab3c, 0x4a322ff5c8867d10, 0x5b0fc19feca71c7b,
0xf3f5255c51834388, 0x583cfa4a30aeeb4e, 0x81a3f1735b37fd10, 0xebc9e1c5d9a52aa5,
0x4177bd7ef2e19c29, 0x850b0b3d28278698, 0x515aba5cd0ca9cc4, 0x1b638370496e6fcf,
0xe7ddf6b5767c33f8, 0x9ebe1ed303f766be, 0x3561dc72a9d2d615, 0x06300d506939c4ed,
0xc64799108eeb0a28, 0xf0bdc640aa68555f, 0x55b09b540757b2e0, 0xc9f54ca0479fae68,
0xb0c8ebe4fb2a196c, 0x595fc1120f48328d, 0xbaf7a7ac23cc683a, 0x2ce08eadd56cdedf,
0x3fc04d1823b876bc, 0x1b1eabd616f7e531, 0xc344ac3cc977e397, 0xfd2e2a4226db234b,
0x5efac9a8f35fd1f5, 0xe4e2adcacc5c23c2, 0x8f6bcc33172f3e8c, 0xe97d2c45de43d2bf,
0x61272acbd27b0d63, 0x1d99ad61cacd114c, 0x2f8c6aa1b4263b79, 0xf38173e91d8a52ef,
0x2b52a08292c6d063, 0xde6cbb15890a6f49, 0xc29e12089f6d3e89, 0x11017bb09b5b3d0a,
0x604cf274c0dabee2, 0x06281cf056306d71, 0xeb25683416837013, 0x3efdf365065781ed,
0x4c048b86eebb7307, 0x22ebce902c95ca77, 0x67ff2beff123389f, 0x8e00d97138303f49,
0x0f9a3971fedf4eff, 0x5cf538931ee9c824, 0x702c8ee3d3692d45, 0xbaf431d3a40e2e35,
0x1873d77c3cf9da04, 0x804436aaf411acca, 0x78df47745a9c94b4, 0x39193503c95b65ca,
0x95b5789d6cd3be5e, 0xf26388cf4e58bdf5, 0xcbecbed37ae91a12, 0x15a71279c58642e9,
0x4ea9f6d4f035b778, 0xfdb71a80117f85cb, 0xa635e2109693e2df, 0x73cc95e6727b8aa0,
0x93f49bf32e21559d, 0x5f8cbb71816ef6fc, 0xf72717722c62c102, 0xe6d07262e61d08c9,
0xb2f8025846140897, 0x104d26c40529e9e5, 0x4427cfdc868d1f59, 0xf2f4c776091471e9,
0xc8ba33a5434fbec6, 0x70d05bea9d943e3f, 0x41f3cd3a4e611642, 0x1be5336513a31c5a,
0x587c988c859bd018, 0xac8be99c8816d54f, 0x0782f11bdfc8b61b, 0x43e37966f62fe707,
0xa459ef2ca99eed37, 0x120950a1cd6c4082, 0x0eba43f8769b9b24, 0x093f5b9728079866,
0x10a31805eb9fe4a3, 0xf5623fda615becba, 0xc969827680a0de5a, 0xe48c5f6bbe8f79ac,
0xdf7b7603f7c879df, 0xeba5957195a1bce1, 0x2c84c1a809b35a3b, 0xeb743509c03e020e,
0x82ca882448ba3758, 0x1a701fd756b5bd49, 0x14ebc45f46e2c6db, 0x5fa632b6c7d25918,
0x6e8d3647a2c533aa, 0xae185268d8a783b8, 0x2b9d21af357aba26, 0xad6761d4d9acdd45,
0x681572a35d43f08e, 0x7f104649952dce4d, 0xfe03cd3122222823, 0x5e33a7308c03cc0d,
0xbb9e533bb63410e0, 0xa9f50ed80534405f, 0xc22cccf7ca434395, 0xa63ac45cff253864,
0xe22fb5ecbb86bc4b, 0x6e8e1c3dea533654, 0xed9ad8f832f74468, 0xe87489c372c1dbc4,
0x4a774799fdd71a47, 0x4a9a13c3be7a52ff, 0x3578a08d273a3195, 0xb509aa247289a1e9,
0x2eb496c15e4bb70f, 0xcb97c42bab1f9b4b, 0x313389d7379df07c, 0xe32fe10a752996e0,
0x833ba3b3d215c15d, 0x6da9d57dd0beb94d, 0x082d2acd84f2987b, 0x1907967226330448,
0x9f272ccaabfc6431, 0xa88455770988b988, 0x407d6756fea62d99, 0xe82402b6a1551a72,
0xf987e9c446fbddc6, 0xd96fd5b7e14fdbbd, 0x628bd803224c347c, 0x5be59b172a33656f,
0x65a156ea78a0e57f, 0x0b34a6c35f1245c3, 0x51a6eeb210f30699, 0x119237f79bb77234,
0x813b118050376d79, 0x7009ef7af96c4278, 0x5e95553aa30072b6, 0x5a22ce9d81f0f0da,
0xe77107911afc19c2, 0xd895c84226884c85, 0x0b745d9e0d33a9c4, 0x52fd08ce7d29172c,
0xa977d0b453f25569, 0x7d0460ad054ac996, 0x2665cadf2721248d, 0x1d8f1fc28b8ebbff,
0x7da1692e579f1090, 0xe51a12e6cf183f68, 0x8d94b629e0a72b87, 0x9420cacdfead4271,
0xbabbfca149408490, 0xf5af3b29ec2c4866, 0x8aa6a38bd6d08567, 0x29978736d48e5a59,
0xc2e91e3517abe42d, 0x864a2302b2014b97, 0x37adb4b01e8b817b, 0xf05a507048d54105,
0xdf93cc4136da60ad, 0x5321fadac1ad528d, 0x9d71bcbee0ba3d3f, 0x85e85fc20b17181c,
0x5d2e8eadffa6224d, 0x924e702b4512cc6e, 0x7e4a8fa73b802773, 0xa63913abf4347ff4,
0xdba52e31e991a09a, 0x712534969197a3b0, 0x5e96017b6a1cbff0, 0x17169280464d4319,
0x9e48649cdad72f79, 0xc534dcc994d27ba4, 0x854220b067052144, 0x4dfed5000f59165c,
0x1e8d9c98498f66e3, 0xad9baca8b5bc557c, 0xfcce4f3193440dca, 0x2e9e46de575999d2,
0x3380e58860c7b1b1, 0xb01093059fd45b69, 0x0c83a1431da204f5, 0x2bf91e140d67f500,
0xa1ec5dc3e03dc8a5, 0x6484df47f8934bb2, 0xe81baae6fe3f74d0, 0x4d1227530181d2c9,
0xa856048776c54f39, 0x294025f08c6405b0, 0x02b4099f219e0d5a, 0x40f5655c31c1cda9,
0x4455445d0f00ccfe, 0x0d6bfc09b49bb1c9, 0xdbf6a5e31fb5e260, 0x2222595835789ecc,
0x154c92c18cda4e3f, 0x93565048d1be433b, 0xa3f528b7594266d3, 0xeeb6901a479c00f4,
0xd51f1644b1072c9c, 0xda3b674a45728d9a, 0x89a0e380905e1d54, 0x860142b2ca1b057b,
0x20d308af97b4a6c4, 0xb9599a5cca0fa37e, 0xf5b304089d405a43, 0xfdbcfbb63667f524,
0x650cf5ca5d47d37b, 0x2bc4d7e87e3b5f69, 0xc86eecffbb24304b, 0xf2f07e4f74f0a46b,
0x537538d1aa74fb91, 0xea958783d52a3df8, 0x324b85d9e5cdfa5d, 0x3f773ac0b8d8ba49,
0x7efbe8ab3de15e88, 0x65db5222f09689ee, 0xcf2320b4c2eeb19a, 0x7b2bd444be20a1e5,
0x360a2d43a7fa82fb, 0x88b70933b5c438a5, 0xf880e93ed7229a6f, 0xca8578d2197753f8,
0x4cab1d53a14dfe2a, 0xca10d5abf29d5576, 0x169782b524220f9c, 0x36f84412c14d72c3,
0x1d7d56517cf7efa3, 0x9643ee22e4edfd1b, 0x10f770e4ff7973be, 0x2a4501b56d1d597e,
0x0ce73a61093f13c3, 0x288ba7d721a24b07, 0x41bbfc11d40f7e9c, 0x767ff8cf99d9ab7d,
0x927b5382cd3e1f3f, 0x78edd79277cedf71, 0x9b6c1629bafcb03c, 0xf634e4da4f05d22c,
0xffaea0499c12af43, 0x8e2bf3b1e8ca23fc, 0x805ede7228784585, 0x91fe25c2b449ef93,
0x8248706ab8bcab70, 0x141b8580d5762e9b, 0x4daa29811599ff3a, 0x944e016838872565,
0x6991a864ba8ae4c5, 0x5d32219ca425869e, 0xe684e448d7df0754, 0xef82d2c5363fd631,
0xff3fad20c90f53eb, 0x08784eb4bf18ad3b, 0xc2047f72f07c06ea, 0xb52b33735ac55c86,
0xf0537573a3658463, 0x894fd435d8d3d7dc, 0xa2c156b06d940a9f, 0x33235d40d70ab16b,
0xebc9cdbf4f195745, 0x5ba562c8f83a75b1, 0x1f93fae34bcd7e82, 0x121900cb80b921d7,
0x7b136207c520a6e5, 0xf960a391e69e634f, 0x13756b54a9c56361, 0xe21aa9129402a215,
0xd8f6ead1e68763d5, 0x032a7092fbf14856, 0xf1d731f09aed09dc, 0x82c539df5e1925ae,
0x15939949fc1475d9, 0x54c0a9f1810e85cd, 0xb890c5fa9a602565, 0x606213b450b25b39,
0x4ceab2aef2643062, 0xfe062d5a55e42963, 0x653b7a7342a33dc0, 0xc38f547585302db7,
0x1f3c1f71b5716432, 0xe4239ddd68bbb00b, 0x0bb2b79dd4250bb8, 0xa31aacfcecdfcfab,
0x4631b3ebd8d35ff4, 0x30c023048a8f1058, 0x8e6df92e790bceae, 0x3885e3c85d036784,
0xc63e3963f96538ac, 0xe454febab149738e, 0x0764ad5867cbc61d, 0x280218082feefab8,
0xa6c1fc96a5f5739b, 0x9fa17ba32f881eba, 0x5b81234f418dac84, 0x81663bca6cdbb158,
0xfa59c5e3b61677e3, 0x86a0ee54c5a235e3, 0x94c6422c035598be, 0x6578f84714001e15,
0xcaba42b552a144e7, 0xb5cf4ce124a64262, 0x2d87eb1356597a10, 0x27773e324db78105,
0x36ea6baa0ff9c0ca, 0xcd2f5eff3a43385f, 0x91f5420a3717f1e0, 0x4fe3e5b871ef8542,
0x7e0e9268b7498de6, 0x371ea7ed24463007, 0x504919ec70981d9a, 0x62c6a4bd16fe59ee,
0xc646ea6aa3a2b03d, 0x5a077f2f74f05a69, 0xcb33377858f403df, 0x832529aa61c5a721,
0x90dfe467cee0fbe2, 0x20210b47144a75cc, 0x0b1ae992b2db5f6e, 0xb4b8dc39b0234849,
0xd9a1afcad1702386, 0x0bb296ec2b07d462, 0x3d45dd88dae776c5, 0x51155c5c1fd3bf7f,
0x44671ff960bafd57, 0xb55121f954d1ce00, 0x4389b94ff4e66537, 0xd6233fbfb29ab8f2,
0x9f6611c511d46c71, 0x812cbb819c985f32, 0xc317d13502202202, 0xd0100d32ab2e25af,
0x740f59f3eaee3d95, 0x0bbaf1d3c4ada2f5, 0x3fbbe3f0c3a4fee6, 0xe05d60cbfcba3d0c,
0x7dc3646bec437eb2, 0xdb7ba9cf8e91eb36, 0x8fd9e7efb69f539d, 0xe4846b1099cdced5,
0xc89ab850265eea44, 0x428f15e5aaa1f7fc, 0x31b09d06c49fd9ac, 0x6b9676b2fea38953,
0x4f666f11380a5c24, 0xd5fceaf072de8a09, 0xbe30f3d6392e5e4c, 0x339bcb1751e6aaae,
0x5a59a592827b4e5c, 0x7ed2e18ab6a9ea9d, 0xeeb6b982701abbfd, 0xaa0d5954c88d5ed1,
0xcf66cd880d05ec75, 0x42cfd6b82a452678, 0x862b4c8cc8545049, 0xfb6b3b8bd9d06600,
0xcf8476e93ac4c6e1, 0x6573c3d8bc5eb462, 0x121b0511c09e6b4f, 0xb8c2a8b149569f2b,
0x054195501710b6ed, 0xc6a301d95f12d596, 0xf3647fe7fa71a154, 0x35c415615b1dc213,
0x58dfbc6448257ece, 0xe0b0de4d149f1a31, 0x60f6eb813cf3f33e, 0xed0ab8658909395a,
0x3f660f27fb17f9ba, 0x2f9a57b3855779f7, 0xbc7f38942791ab02, 0xa80f0fc16f1e6520,
0x25eb3061a5e64884, 0xffe6ab993b893902, 0xf5d4c997ae375324, 0xced84c1907282924,
0xa118f129900ecd1b, 0x713c1f936858c36b, 0x4b32be890d9f187a, 0x4c5b8d717d24e693,
0x7466eef52da63196, 0xced99b862954b7d3, 0x341ec59fb5cde422, 0x48044f6490a76e04,
0xb13de393d45c8f19, 0x3e301c6a5529f642, 0xb754964d9fca33b1, 0x8070d4ae753346c3,
0xc7d132879aceaf22, 0x27bf4b619df7e7ce, 0x48afea1d5d9dbc12, 0x2ca19fc4be5f637f,
0x0300e4b37eab631e, 0x991b33e4c712dc6e, 0x9b831a3f8b2f1d58, 0xc4f693eb59f7fae6,
0xd0c92b5b392d6ad7, 0x5c362abf8d8f416c, 0x0a9d89f12be8cd12, 0xc649a656ca63ce25,
0x75edc46ea6a39f7c, 0x14672a6aec4b1037, 0x8a3ffa4a87bf9299, 0x086654859e6ee318,
0x2c60941cca72f33c, 0x97f8d4c2dd2854c9, 0xa21269d0abab0b92, 0xd3904841739f0ba7,
0x929064dec9b9e751, 0xc5ba0b8bf665e166, 0xb3f4d04be94b1b57, 0x4bb231305763ae2e,
0x3677f5ef041b3dd3, 0xea71091e90cae7c2, 0x7216fadcd99901ee, 0x68fb0c04b258ae44,
0xc176deee606b1cd0, 0xf8f96992b2abe13b, 0xb3b822d0195830fc, 0xfbeeefe2f3cdac1a,
0xf5b092b453ebefb6, 0x9142a8b4bc0600cf, 0x536d707ed12d8f64, 0xa61939cd1c67080b,
0x174ca8a00e3dd5c2, 0x31dd2bfe5502123b, 0x41b675d73907fc2e, 0x075e60353f1683c4,
0x7059aa41411f91f3, 0xac391c66cf314a89, 0x1ecd25bfc54b2a15, 0x527af4a4a01e89bf,
0x6090a22818136231, 0x28db578c9d29653d, 0xc6ba5026c2217f6c, 0x7206aaf2eb528e7a,
0x94618a7e05b9106d, 0x87cab40fcd9d5178, 0xffa1d3d7ce7f0aaf, 0xb8fa7a4c50fc65ff,
0x3a9b129d1e3926e0, 0xea75978b12adf712, 0xc8c7339d535f0405, 0x051da5ab572acb02,
0x6a5fe72e5fca4f9c, 0x84c8759994ec3548, 0x3282fa94e565793a, 0x894fee1c2021d2dd,
0xc327ff53157ab5eb, 0x495ff167aaf6dffb, 0xa421fa71d4ae79be, 0xfc5a4ab4dc6a4c8d,
0x7d4c8d1e8b49a21b, 0xf602d260536ca99f, 0x597b8cd0223af094, 0x2a2fdc6c16a115f7,
0xbf35c485a8483955, 0x4bda25d8e3136ff6, 0xc05328b5dfeca9e4, 0xab044e5aa14b3c09,
0xe9e1b45b7ecdf9fc, 0x13c13542b624a9ee, 0x13bbdd1d99a8c26f, 0x89ed324b5a61c4d1,
0x84d74677b200bb7c, 0xaeb67feab084e765, 0x08bd2cff1f7aeff4, 0x1962f234ff964946,
0x0b71598f3a352366, 0xb3d53df4c3fdde66, 0x9bf0c89627c33a6a, 0xd6254a82379ba58e,
0x69d7d51f8ea08f3d, 0x3d025cbaecfd3dee, 0x29433c1825e798eb, 0xb78810d216912054,
0xf49332cb438929f4, 0x1d251b8acd492d1b, 0x0a27d52c54c25411, 0x873c7f9f119945f5,
0xb5f2901ecfd20343, 0x83735779d5bde027, 0x57ae2bd5938582c8, 0x79b28c12e4b2b528,
0x2be25f50c0f4b7f5, 0xecfcf074008a21d3, 0x8d2acd4b31871cbb, 0x33308183ecc5e4e1,
0xba3eb07e964ea665, 0x1b98ccc528363656, 0x167a4df346e596bd, 0x2b5eeaee31df58c3,
0xf65ad1f5708f1d64, 0xecc45a9374e16ce8, 0x9460cce80439f790, 0xa6b99def7a0c8f76,
0xe3ccdf10e3c8c1d0, 0x83a71537c937ffd5, 0x8dbe5b99d1b4236f, 0x447712fb9ee19fb6,
0xa8c54d97bff6ffa7, 0x503d42ab2e813ec3, 0x98a328a75f11fff0, 0x31f4a4d2f4b51626,
0xfa2f59621b55c727, 0x873268c77407da08, 0xbc092d739bf6717f, 0xd14a4d03eb1bed74,
0x2fea03c691f9a08b, 0xb79b8c99f7a6a0a4, 0xea9c36cdc6ace8ec, 0x919c66534ee26c75,
0x49cf948404c6be62, 0x0b85ad377a4e7f12, 0xbc4f637cc8789ae1, 0xd883507a53ce8007,
0xdc203ef504371570, 0x081e600efa273f98, 0xfa9581421f24bdb8, 0x9ba6071abb4c6787,
0x6ca17d841eee09be, 0xee16d1e5bded2363, 0xf7535a48e1772500, 0xf51845b4914d0907,
0xde8aa3a8829c1c94, 0xff0ca8198347cd63, 0xfdadfadb575fe47a, 0xd81c1d94e54e02fb,
0x246180c975975ff9, 0xf74a905583e268ae, 0x3f4832758a70dfde, 0x37a5b7f242248754,
0x50f16fd99f754094, 0xb7945668450dc17b, 0xca3c56f582a97371, 0xb492de090622d8b3,
0x7da03e49d2a58069, 0x95122e3449350cfe, 0xb10001bba01564bb, 0x74a2f09dd90228bd,
0x44add4182cda37d7, 0xc79160f70e8f2ef8, 0x5935395691c82c0d, 0x7a196906e3cdc4f9,
0xd609b71ce22c12d2, 0xcf80adcebe87a19a, 0xfddd329521e68110, 0xb923ff8069517f8d,
0x45912f1d0a5d829c, 0x6171963b9088836e, 0x61802ca1a49b41d1, 0xa027581b5b6c9641,
0xab1abb4660cdab68, 0xe69d7cff31c506bf, 0x61d4415d05f582fc, 0x87f3a6a022865735,
0x4d0f9749157a9d02, 0xf3fda77c8e7ddd33, 0xb57deee4fec80d2a, 0x1cc39570bb3d3e8d,
0xd319ce8f78d517bc, 0xae594278f9b320a8, 0x57b36633f1fd3898, 0x3575de7e454e8712,
0xe9463a06e0ff1122, 0xf94ca1b51cbc3cd9, 0x5f75407a837bb827, 0x97e1bf1b54005bcb,
0x4a9a1773dd8585f1, 0x0564290c8316c467, 0x2d18650babed7ff9, 0xd541c01078b89ab6,
0x77ddb08ba50b3271, 0x8c56d6e4ecb2e0c2, 0x4b930463a8693929, 0xa934eb9718925005,
0x6ff57d30224f4b07, 0x37c536ef1652eadf, 0x6061e51cac1febba, 0x0aae7b44511111bc,
0xa9f24dda6511f77a, 0x7e19c9053bd340c9, 0x536e05193aa44d06, 0x27ecc3e976fde127,
0x2f7fd90b91dcbcbb, 0xbbc1526489b43190, 0xa83c45ea3c86b21c, 0xd360e1924f94c12c,
0xf501401bd420cbc3, 0x15f00e071309e990, 0x74aac7fdb0fd6aeb, 0xef958d5c7ba3ce11,
0xc27338015b2c96db, 0xd97e6f37bc6269a4, 0x57442e207ab0d160, 0x7c199d3175e62dbf,
0x51c9391b43434ddb, 0xc5dd3cbbf0196e96, 0x71106b773d68a77b, 0x5cd10e8f5c231da0,
0xbeac7af35b880135, 0x9e6b8b9bff5100cd, 0x27f6acb61f6ea89e, 0x06a1f9c54b0bd35a,
0xf388e07f2a7e5913, 0x9dca48fdc96b077b, 0x944e679752a33b14, 0xb50c3c6ba63c16d8,
0x98db08bfdf8a6b92, 0xa782f30b5d4e2616, 0xa961adfd68ffc76e, 0x2299c3135a7e57b6,
0xe90b4c46dba76b98, 0x29ceb64ca5a50a05, 0x37ae4d1bedbc9e12, 0x1bc940b5caa7649f,
0x2ccd4c936be4500d, 0x8af64be5bf28cf33, 0x70ad6ac769cb27c7, 0x619f51de21c853ce,
0xd24da5b0ca9b17e4, 0xa7ea3abe3857cbd3, 0xd8f8d06f4f3cb52c, 0x51855699896b8456,
0x1311047fa2cc62fd, 0x53f18146434f8cd7, 0xa138488f4bf0aec6, 0xe45842a1fd77138a,
0x9afd87e4c4593df2, 0x8d03154f03437eea, 0x91f187cd9c43b2e4, 0xf2ace27367cac282,
0xd681710bc087aa9d, 0xfa75c5d8d8c2dbc8, 0x7a9472f0a2fb234c, 0x976bc1c19ebbb386,
0x40643036296787d2, 0x9e9554d49965a5d7, 0x7e9c83c8e3666804, 0xee7edeabbe4e034b,
0xc9ab6e54aa53e876, 0x38e3133387c9dca0, 0x2dbc3ea5f51b8038, 0xa85f96d5043e765b,
0x314f4f1f438c1c1c, 0xc2814797055b0b09, 0x896f440e866bb908, 0x35c0a3d044a4b28f,
0x1d396280104aa135, 0xaaf643afc9fe366d, 0x6789bfb61abc89cb, 0x8768c654787ac6d8,
0x999b2f60ce2e09c9, 0xa9f3f84e9e995b3c, 0xd8cc77eb086d73bf, 0x0aa9cbc52a559884,
0xf569e10d77358644, 0x2d01110fc1345106, 0xee49f1615281dcda, 0x484344a6c8146345,
0x9d85f2196f0574c5, 0x1b2d5296618a6649, 0x316b3c5b14ebbfc6, 0x0a2e05b3cba4804d,
0x427beecdbf0d6968, 0x1c7c7ad2defee37d, 0x9193c1aff049e3b6, 0x649f64f95396c262,
0x1693d43e919f47cb, 0x6112481e72b7052d, 0x9b4c36c12aa0e0b5, 0x2602359dd8069e6a,
0x682168faf88612ad, 0x4779ea1701a833d8, 0x404b6efce94b4ea4, 0x7868743585b323c9,
0xf1c557b240831667, 0xa46b4ded73a9a7ed, 0xdd3b00b4a4aa5519, 0x4ee8213ff33accad,
0xcb296ca84cd03e56, 0xb04cd70cff4d78be, 0x8f2c14ae182fb9e0, 0xa3774b41cd6c4d10,
0x94f3a26cfb5bbf6e, 0x60dad561801714cf, 0xb37934e75c6bb046, 0x7954dbdab4f89242,
0xcf5030e1bdb916e7, 0xff2d38a70aa40484, 0xc69afd71cbc56d80, 0x4c67b9d74d7c6e28,
0x360ca35f01d07f77, 0x5020ecfb3a6f854c, 0x7c4b1b321901b909, 0x92d28bfe21dc2ce4,
0x73eb188f8d116d42, 0x47862288c6c6bc80, 0x45749d12e5bd5446, 0xef0609cafe8824c4,
0xb8dec881a5af9e0e, 0x521c4757cfea7080, 0xf01ae16535340db9, 0x7b7fb42c62c788f5,
0x1a02db39b3f7511a, 0xb6411340eb09a82a, 0x8664ddd5b7a94275, 0xfede2776edc35e88,
0xef6b78141132ea7d, 0x01636bb7f3148707, 0x74426c4f97b418c9, 0xf18ea401e22ffcf0,
0xd00261d5833b3f1d, 0xd8608f49bd1fc6ea, 0xc0b5e9ab19e6111b, 0xf33ef5f1f5e79eef,
0xf360da3b84700ab7, 0x10725acdb3b3c000, 0x23b636a137b8f954, 0x44072441cd9b8ce4,
0x4607db3007ffc6a5, 0xa6b4959db19ae477, 0x7313ff7f35f33368, 0x1449b39ce55fffb7,
0xea0d9ffa7c52b4eb, 0xf75aee7c389ccd62, 0xc65a816fd263d6b1, 0x3489c54fc097cdf6,
0xeac356c3f510a73c, 0x9f11b59949d18ca0, 0x9731acf2f32e100c, 0x381a90b5895ed19a,
0x66ffa6801f24fb14, 0xff7b2c1826805d51, 0x1d6aec61d3d1a920, 0xe8fb7010eee15dd1,
0x51627650c042e2f7, 0x09c3a4345d399849, 0x7f7307f0c4e3b823, 0xa1f5a5e41a8f4aa1,
0xe8a3e536aae3af83, 0xdd789ddc1df0325e, 0x1e3e6092a34f433e, 0xe8880bd3dba2c85a,
0xf530ec1d4af3a25e, 0x77129d050c65fec5, 0x3f36b9056ac66028, 0x939e85a2ed5622a0,
0x1885aa46e475de71, 0xd577d25b1305a0d7, 0xc153ae257863f8ad, 0x15990063a8b7f2e7,
0xf8642dea7eac8cb7, 0xac72333d6d8a64a7, 0x9a3fbe907e1dc8b8, 0x5623fdd919d6a209,
0x0b477ba3a4d33f12, 0x15eb8b67682dc072, 0xdf78bfb375ce6b0c, 0x157503212f873f52,
0x1d779bae4a2e2214, 0xf5b763c3a2126cc1, 0x0db66216b3b2cc5f, 0xf5d0b11756bcf1f0,
0xfd6d6c9f71b7fac6, 0x4d68a5d82964b29d, 0x8ab701d4200e47ca, 0xaa94b0803b3f3013,
0xd26203a231c2081b, 0xcef69821eebb98fa, 0x097a91f788d69064, 0x2d507cb462361ce6,
0xd6e924283fb06639, 0x8858a75c1b21cf72, 0xde9b9c572ee5c6a9, 0x83c9e7b91cbc3a21,
0x14b9391b20e2de17, 0xd500d1af6931370c, 0x8c284559f0af8f37, 0xb6864ea0d5b6b247,
0x1c530e657e71fcf2, 0xcfe282725f930620, 0xa17013dc143ae448, 0xb4403388fd3b5d6a,
0xc289aee6d6d27ec6, 0x8bb9b8318166716a, 0xa0e83244ad610a88, 0xaae90e0d8f201f2c,
0x2526df94de1b947d, 0x6bc49351adb0c090, 0x71876d378229bc05, 0x75521250085bb724,
0x1a3f265818192b92, 0x8c2cbb8d57571867, 0x946782e2aa3977d2, 0x4bd1292a43a43e82,
0x79b3ec406e040850, 0xf2aa3affb22f9dd7, 0x6b34d0a0b0639871, 0x2379f306750546b1,
0xc181ab4c6a076192, 0x43bae37d638fbd74, 0xedc672fcdaae9f71, 0xf694d5b8fb58da7e,
0x0ad18626dabf46b7, 0xddd6fea5c6cb25c8, 0x1035e0947c98aa5e, 0xea29c7bf6d145428,
0xa3fbe7bf55c3d175, 0xe0e8f111ab5eae8d, 0x0e6ed5bfd9687fc3, 0x28cffc9882c6d13a,
0x25f5249a723199ec, 0xd4a3ab18c9dd62b8, 0x060f1a6ef5726b18, 0x404ee876a4daf918,
0x8f2f2e61017d731e, 0x11177f56286807a7, 0x78ea1a33e2ab2090, 0x122ff745948b4eec,
0x6d2d191a8828436a, 0x30f793149e8f2d92, 0x2b5f88f5698e241c, 0x93dfcd50e53b36ce,
0x0c3d9df357b83db5, 0x97b82a1889291278, 0x7ef4c1771a758f11, 0xa8c5e82c296a9b7e,
0x7a9ee8834538ddbd, 0xa2030ce002f0aab9, 0xb6b3a5018d5a99b7, 0x483266f7561aa58d,
0xb79c7a87fc1cb226, 0x7edb227e8a208f95, 0x2ad247cbf12442ca, 0xb2b1e890102632a9,
0x4d73bff89d59935b, 0x995d93552678aa4e, 0xaabf1d3dce82a61f, 0x448dede27bea8ff7,
0xd363fc77bb7f4dce, 0x7f6e4237403d3f7c, 0xed05209675517bd5, 0xc15a779dada4d7d8,
0xe5efc52b4a405e5c, 0xc5a0204d0fe5f7e9, 0xd27c4f3c5d099030, 0x2ddc5140f77de47a,
0x004232086e0fc7a1, 0x005fc09fb5cc6c4f, 0x4131a64934a4488e, 0x0ba0ba1836e8595e,
0x57c824cdddb6794e, 0x04b16e94fe9aca3f, 0xe972c410cb99f56a, 0x639f43fab3280e2d,
0xbe1abe315c8c7513, 0x13a1536d603805a8, 0x0125c01650de251a, 0x172ef571f64e8d89,
0xe9570c6b6ad807d9, 0x54d06b31c88750f5, 0xa34efc63e3e2886f, 0x43450b8e0686af39,
0xeaebaad8ef9ea28f, 0xfb52d7b4160ad076, 0x7d4f588481a5eff8, 0xf6509c4670b1f84c,
0x8edc54a7a47ddda8, 0x50dac7fce0cb61c9, 0x34780bb80f0d75aa, 0xeb4e7389128aa491,
0xe370abffeb18f495, 0x677ae6c03051c241, 0xb52b664f75400499, 0x4cc0c8aa4c3e487e,
0xae40e7040bc031a6, 0x12fe650170e6e720, 0xbef268accf5c67ed, 0x0701f966ce8edad7,
0xbd516c4468afac41, 0x8c5b5a82a2dab696, 0x4e0e1eb1795a8ed6, 0x78f6e3ad5a00eee0,
0xd7cc9b7d5b212454, 0x5598df5d03824d94, 0x9b601143e93f0ebc, 0x590b504570e608b3,
0x9dbce71fc31c6de4, 0x3bb039a859b0ef86, 0x997258878cdd6030, 0xb978eb476ce42d2e,
0x55da05f107ef7f5a, 0x6bb0ea38b6d69b7c, 0x6fc71b51b2567bf6, 0xd377adf3b6ac828a,
0x5ed21ccf2cf7e8a5, 0x3292f14881a89c23, 0xe97e17f63b786aea, 0x8aa80bcd041d5a5c,
0xd1a7603b8e9fd20e, 0x601189afdd3d9fc3, 0xf250c7a7bd5ab342, 0x7c69c3f9bc4e1ced,
0x185bc39e80a7a3e7, 0x4396ed5f0b9956cf, 0xd202722c63e08ff5, 0xe584df94ccdc38df,
0x304251a5c1ee32eb, 0x01b17e0f300ef383, 0x274211af9c33b2a1, 0x4448914d9d6af202,
0x21e5fb3f4535bd1c, 0x8a093a31449b3bd0, 0x148562d53b596caf, 0x36f4f185af6f5f2c,
0xbc30ae54754991b5, 0x4d93cdd49636da1c, 0x7a5e728d74ce6ee0, 0xa02058d11467ca07,
0x16f6127d29a3bbb2, 0xf2843f42ed6706af, 0x8d048506d42ddcb9, 0x68f022052ccb3178,
0x3f8d96c146f5b28b, 0xc028c6aa4a8b1bb6, 0x2b3d12192a5e576a, 0x293a742544e966bf,
0xc4e85429678c5dc0, 0xd57523a6d1b67745, 0x26bbee597832de0a, 0x56419cbd009d5d69,
0x9389892c0f601189, 0xa5a743d56f1da381, 0xcda65e1673f41e0e, 0x1cc593bf5f0c7b17,
0xc2fafbdb6c9eedc0, 0x3fa14081a06c6396, 0x68734c567acdc2a2, 0x171894be9eaca8f4,
0x51b55b1b513828a3, 0x5f3421331bac299b, 0x57dcb6f1ef8c9502, 0xe351444ec3f9d1c2,
0x8167b21ce6985bb0, 0xfe9a2550f12d3db5, 0xa641511ca07b6ffc, 0x05da8d888372e911,
0x6d41d90394f6e962, 0xe2d097bf48b63895, 0x5cfe19c5ec930260, 0xb6ae3f36932ee5d0,
0x7f1531ad502e2266, 0x43b790e41636e3cd, 0x7dc6e7bf9258770d, 0x63a33ee8e0aeced8,
0xf9cc7500871fa7e8, 0x4c7497cf9f83047b, 0xd3fef7148855bcf4, 0x6eccb952443c4ef7,
0x6ac888065d97c1c8, 0x1a89aff375ae83d0, 0x7785a23644841015, 0x037f6b63b0e6f8b5,
0x89e4000781faff18, 0x77befe5d372c7edd, 0x1ab197860a57f695, 0x58153fa66faf5663,
0xe951342e5b79800c, 0xfb511b946416e9a9, 0xfb0c662920dd23fd, 0x8b5a8a49a21f03a0,
0xd6f1b879c81fbb60, 0xe8f60ead3cd62aca, 0x6e2f2bfb41305942, 0x04dd22fe89a4949a,
0x41a847ed884b34e0, 0xfb8755857979a98c, 0x02fc30f5ea41b037, 0xba7ed475caebf079,
0x88b2ee91dc22907c, 0x55a78fccdd43caec, 0xa120011a3eb21496, 0x986299e8ecaad90a,
0x64ff2e577efea1ee, 0xd7e68c3cd75c6a88, 0xfed1cf367ada46d7, 0xa868bbea2ebd3211,
0xc5795b5b7ee1a080, 0x01da333367c62f33, 0x05331456ec03e666, 0xff1c165034fd0bfb,
0xfce9c21ebc30ed86, 0x4731569d73269820, 0x7bb981fb34e1ee6a, 0x117f2735358158bc,
0x0f73b935bacdfabd, 0xb8642dcdc1e59341, 0x62b5a8639ebfc8ae, 0x0cf342d7239094d2,
0xeab177cb5bed1cf6, 0x9c9c1d1a07b1cc49, 0xedb2a9ac8bcfda68, 0xdff0ccd208335312,
0x7de6d0a9eb70571e, 0x9bfc0401809a726f, 0x856f4ca7b861f957, 0x15b2311ad9140289,
0x81239a118404e0ce, 0x1447dcfd6f8740f8, 0xa58c9a6a6d7cd7d5, 0xd53c895eaaf0d616,
0x8b6256a3ee46107d, 0x52fcfb6980c3563b, 0x439dc764ebd0bef7, 0x03bacc73eda935e6,
0xbcc153c9eaadcf20, 0xa60633d86c79c051, 0x3d6c50cd8f52cfa9, 0xd146162e1bdfcc6a,
0x03aecac15469fb11, 0xc99c26ffd9030ceb, 0x35e9edd2ecbf8c76, 0xf06cc73592bee959,
0x8017c6f713d7111c, 0x64c9ecaabb7cba07, 0x23b1bdf4433065d1, 0x61fb4d8112e01db1,
0x15042ffbd3c19589, 0x79f5d043303c20f9, 0x10c918feffcfb206, 0xfc9b81a82969b4fc,
0xd4ee611f94e4ee75, 0x339373b001e745fa, 0xbccc5a2a97dd33b6, 0xe99965c23907dd33,
0xa53ee25909211297, 0x37f074e407bd4a63, 0x60e5badcf6a0d5fc, 0x8983e358cc9d8a05,
0x33dc1c8bec586b64, 0x6447492c217c6389, 0xed89f18255a0dafd, 0xb888dcdd08f08318,
0x8ec6a6f67be2edea, 0x2954f3e8c14a96b9, 0xe436a39cd53deb38, 0xe1ffd6b9e4651bf9,
0xeaac449460585ebe, 0x247aa3511ed40e30, 0xedb61d03bc48bcf5, 0x348ed81ed0a2b4af,
0xa0d8240aba4cf8c1, 0xf2649e21195415ce, 0xd719775990ac82da, 0x6e170832d3aaa08b,
0x55b38a0c52651c31, 0x270536c77c80f9e4, 0x817eeabc00c86ce8, 0xc1783ec713717889,
0x4a73b469ab7e547e, 0xdaede620ff51f2fd, 0x2b935030450410c4, 0x4e63bd923e5a213c,
0xcf43396052ada4c7, 0x65b0a601b176c838, 0xbd75ac1acdee2db6, 0x1485d84a35cc5ced,
0x3928db777e3e2942, 0x8cea210888ee2355, 0x4a109349b31f2d5b, 0xa8c6572bd9918978,
0xcc4dbf249e5e0dca, 0x53c20716205bcd80, 0xc4b8cc51d8e303de, 0x941ada77b253fe96,
0xaf64e9f47f272040, 0x84b4854b134d0e26, 0x3af5f271d1204c81, 0x3788a5ade08693ce,
0x3d4297593c2e60f7, 0xbb61f02ff444b1b0, 0x9f119bcf3e83c746, 0x281291e6860437b5,
0xee70ac647b1ef93d, 0x7d0f85557cc68d54, 0xb784debeffe6a18f, 0x003b14e977a56c5c,
0x3914a79eef4476fa, 0x3df92fe33f938059, 0x0e3e533988c66ca6, 0xda7982728096168b,
0x18e67e0812dbaf42, 0x004d827b6d9079ad, 0x9e7dc26473112842, 0x46da68611570481f,
0xe17a1c91d75b78a7, 0x0d3e0efff9035b1c, 0x4f8ef3a70a22f6c3, 0x8cecec8e729e1e20,
0x201dbdb54a033229, 0x8c5ae49d6970f05f, 0xe5f61d0d00c27431, 0x5721952873a03b65,
0xff563289cca9c535, 0x13e87627c43623b4, 0x6648335860854f6c, 0x7b7b3a7a5eb4ff7c,
0xf9efc67c78eb15e6, 0x7c78ebec7c274d7b, 0xa9648c1ef64335ef, 0xa942a5681255d9f5,
0x1805393c933ca7d6, 0xa983ece8fd1ec82a, 0xe671bd4355f35afa, 0xea0893299ac041ad,
0x6a2715b0295f402e, 0x56487ce77b30972a, 0x4728f7ed6eba8356, 0xefef13bee61d5b7d,
0x34d4256e67ddf960, 0x94ccaa12c3e412ec, 0x7ea32b73b566936c, 0x75dea816b4bf00f4,
0x6bc0504a3f9f8a7d, 0x244453602feb470c, 0x83f2156980a6cca2, 0xa94773870e16bce0,
0x2a9d2a77dd10abe9, 0x562e54279e4b3edd, 0x6354986f3249fb1e, 0xf65b8665150dab74,
0xd7cc0465795f5f04, 0x9d23bb539bf16ea5, 0x282543591b54cc29, 0x5b897ac34ff789ae,
0x242084c41a45765f, 0xbba90b841e9c75d7, 0x2938511d6fb2f070, 0xd89ee3e3d6ccb855,
0xd1b4a58629cb9735, 0xc269c9a430b24104, 0xf38b4d2a49244eeb, 0xcedfeb6c3f96849b,
0xef7f3bd1c507cad0, 0x906c8b8802f7e0da, 0xadc92bc8ebac8cc9, 0x4a4a578ad76c4d59,
0x8c5e6028dde04dae, 0x44bb36da160466cd, 0xcdffbeaf0fa17ab0, 0x3055991b0b524b4f,
0xb6f45fb682effc1f, 0xfccfd005ffaf49be, 0xb10d7b896fe48a3e, 0x9084ecf8fc3bd73f,
0x1ccfb3bbab2e5503, 0x5dc751af02df5390, 0xafcddd397c49357d, 0xb0e435f148133e1b,
0x27fde5bfe6ac821e, 0x30c858fe31232417, 0xfab29a818838f00c, 0x9092d7c52748242b,
0x14f783eedaf79490, 0xdc8e1067d77e38a2, 0x9fe1accc6731074e, 0x42bc14b746c8b9d0,
0x1eb0cb7b723a277d, 0x867287214641d236, 0xc2c9d17129f9be1e, 0xb802945975da314f,
0x5f1ebfcdd121c039, 0xe557d65a0ccf5668, 0xb502e751db58e13c, 0xbc76152d59516b67,
0x194fb2d2459ce81e, 0xed5ea24e1fd9525b, 0x936a5acbdf8c4962, 0x21dd0d1e2320236a,
0xa85f41e52490f3ac, 0xf0807a677783e259, 0x76c7c99a9b7bf52e, 0x2edc18fbd505863e,
0x740d89ab0d64df51, 0xb79bb8aac286f233, 0xd74c11411cdf719b, 0xdc8697ede5026c4b,
0x609cfc280a2f376a, 0x11cb4a7d13ab29bb, 0x393534be1b3abe59, 0xddb913fccccf1788,
0x06c30c6cb89e20b6, 0x81812aaa56ddd84f, 0xe80234684bfde488, 0xf2b0a42585e39765,
0x61995a793132f5f2, 0x0e2d4ab5d1c9f549, 0xce90014e7a1471d1, 0x62f5ef2dfb81c050,
0x951bfb8dcac29ef0, 0x2aa19d813bb73532, 0x495ad6addded0211, 0xd72ba2db89fa2549,
0xcae43402853cd08f, 0x222cba94e245919f, 0xb2385e8de71a02f3, 0xa9e670056c7f89c8,
0xd91ebe804f8a01f4, 0xcb878af7c64b5caa, 0x6d2386037453789c, 0xb73830b8e0fbf3a8,
0xd0bf573c957440ef, 0x2a054f9b8aa14945, 0x4f54273a2b6ab238, 0x1e38b47d6aea79d9,
0x9b65f7bcbf25a716, 0x6676703f34cbab1f, 0x49046e2562eb70dc, 0x461778471c103c11,
0x063f6f192d03e19c, 0x135b04e2ad373563, 0x77ae6afec5a8dbf6, 0xad50801ab90ee4ab,
0x9fb156edd25288f9, 0xb4ad3052a0cf5470, 0x0f46a9e66acce657, 0x69575566f44dfa0b,
0x7f2504f991e00973, 0x8a58f288647f3f0f, 0x35553c4b1ba45d4e, 0x3782e5eda3fae009,
0x09c4dd7ff3dacf87, 0xed3cecc038cb397c, 0xeb94823c2ee57f99, 0x4b14f4001b9a400a,
0x63956ba83308573b, 0x526cb5b68d705970, 0xb453ac8d3408960f, 0x261979fe4336ae00,
0x16bd76d36ea4b011, 0xb3271d5953206b10, 0x1857dd60de074176, 0xf4ef9963e48abd83,
0x2e540c476bfbf6e7, 0xd7737a0ff4da2861, 0x6623e4c263ce8219, 0x3a516557e5ed80af,
0x0737cdb03d9c7939, 0xf1ab5064cc1b6cc5, 0x91fcd4e0d815928b, 0x96efa390a5382976,
0xd68dbfa2596186f3, 0x8e2e3c035bea839d, 0x2750f4f4a4ec9ea1, 0xa09f9b1a052e76f6,
0x4794eedf23256de3, 0xb9e2c6739d3e92fa, 0xf40e01fba736554d, 0xe30504f4047b6636,
0x1839d1e32f950823, 0x89b29bf43eef802e, 0x2267c949fe13fcc6, 0xca434c9dfe31372b,
0x16b03c0ff36aff70, 0x885151031bfa6d69, 0xec3e0d9f4acc90a9, 0x579c662d9448e8a3,
0x16c2d36034f87be4, 0x151bcd465f265da0, 0xe40d5715c435c9d6, 0xca9793aed648e2dc,
0xe6ee0b88b9335bd7, 0xdae9d64410015f89, 0x9b4c98d2defb01ad, 0x87766dc8f34e1dc9,
0x0983ddb12e5539a5, 0xa1733cf47b5c03dc, 0xdeb66bb4eec77478, 0xeadfb7ac78060a3a,
0xbe17875db213cc6f, 0xb9cab450a85110b8, 0x74604bb9c75ace4c, 0x58ce786f564a618f,
0x2ddb9396e5f30ada, 0x0efce46d9d25d804, 0x2b61552157c59077, 0xd73abc19a5fb7f95,
0xdbdb82b1ebbb8532, 0xf17278ed8e0b877d, 0x06272e2990cb7c1e, 0xec8acd12768f7584,
0x071ebc91a8eea51f, 0x865201127828b1ea, 0x869bb9d620026cab, 0x989135227568f878,
0x44be2a84fd1c346f, 0x7618f7b56b55ef08, 0x23f76fc4cd2ad41b, 0x24c50176830846ce,
0xddd7c001ba6bdb42, 0xb0a757845c71b695, 0x7eaefb0097d48d4d, 0xdf5dba8df87f6f3e,
0xaa723d7a973286b2, 0x4c158ca43d859001, 0x3c26f5f83476118e, 0x31f8c964b088d75f,
0x7442c1388a415599, 0xecc305bd632e4d3f, 0xc867575246a95a44, 0x257ba3cc634f646e,
0x5fe5980ebb62bc55, 0x43d42c681d9c768b, 0x2f7bd571d25d78a6, 0x32c9cd0b55ebd7ad,
0x0220eb9ae80b9e97, 0x8c485e5d9b3e3a1e, 0x3aae163461f6c691, 0xcd4c37da9aafbe39,
0xb83c2eedc37e2b9d, 0xe64b70bba8027046, 0x09b1bb398716985d, 0x2035a34ccce99f5c,
0x25ea1d19fcd7caea, 0x301a9163a4cc24d1, 0xb6bdf250e95da883, 0xf77979f601a3feab,
0x2affc9665dbbbe13, 0xe7f2158c68550783, 0xfeff28df311c5bc2, 0xf09e9ee071bf9618,
0xfd4b477cd7621616, 0xd9f3e0cbe4130e16, 0xae9f7f0e03ab32bd, 0xa38007b1fc1360a1,
0xe7d223bd3dd2e9be, 0x53a260eace4cfcb0, 0xf5ff1e528c4289ad, 0x5d0c4fd16addc01d,
0x2bcb91e78966d1e6, 0x9b0e231d41485eea, 0xf238e086c7a00e27, 0x058267116b7e80ba,
0xf3515639aa8875f4, 0x0272477a6e97c042, 0xc064746238b98665, 0x00ab4a55a169ab2d,
0xd8251ece9e5ad39e, 0xc5e643fc27343a8e, 0xd9283257a5ed5dc4, 0xa65a57217fb22840,
0x9ce4ca8904dc3b40, 0xadd3d7d8c8aa1743, 0x58062575954de631, 0x50b70c7254413e08,
0x732b3341e65cd8eb, 0xb56d0499e7e64ffa, 0xd74e127ed4f02d0d, 0x3c357838ef7eb72f,
0x452d3e884ff9a34b, 0x3662bcce992aef63, 0x52749ec50f10a796, 0x8b1d1520d846eccb,
0x19420772d004edcd, 0xa29a0f75e4049d48, 0xc20181d414496d75, 0xd70da1480d7b8ad2,
0xff3f75c55c8ac488, 0x8dec7fc8efc1aaa6, 0xc89d56f0c3ea6e64, 0x9cc18c5d6d09ed70,
0xa9c0f5e09d8aba58, 0x1c7faec11920a3e1, 0x00af9a3a778653ab, 0x887843d4c1e2f274,
0x61107c3047018eda, 0xb3f32750a823c5a5, 0xd7efe3417c1b52af, 0xf8d4ed1f191c9726,
0x8c6a470e877c778c, 0xe56c0ce0b746d329, 0xf24ec946e95ff2c2, 0x5affc47567a34fa8,
0x7fc3a2d9be7f6787, 0xdfd2bf7a049a2d02, 0xa4a0663a3bd3aea7, 0x537c3282d7733f3a,
0x5cb516a93c303db3, 0x0920de507d2ddc6e, 0xd79786e55b17ad14, 0xa4e57b0475ebe6a8,
0x146622695e0fb756, 0x0a04b4637814a1ce, 0x129a0e718e1f44f1, 0xb88387c9d83a4a4e,
0xa6b7f7c305d22bad, 0xc7b90d080be6b02a, 0x9cc349bc83e487c0, 0x14e9e417266bacb8,
0xe1f23fac30799875, 0xf2bdded5177a254e, 0x5e6edef130e1b648, 0x94823736c393537d,
0x8c6fca92016efa29, 0x43fe8deaac7dc3f3, 0xe2eb2e2e291bb81d, 0x07fa11e76711c23d,
0x07bef68e0316143e, 0xd2b442eec1f81464, 0x9f7484990ecb4a78, 0xff8d5751fb769e17,
0xe6495c158172e0fb, 0x765ffe80411e72bf, 0x5af9cea5ceb51228, 0xb6fa635bc1031923,
0x5d4b0b84c2994105, 0xe0ece7e10903c9d5, 0x370b3964db811f11, 0x26a24152f26d4fe4,
0x5e8eaeb48975de27, 0x521d43e12056e199, 0xd005e687e78b19da, 0x3ceed3fe542d2e9d,
0x41115af35fe9b8bb, 0x071f5096e38ad3d9, 0x4a871ac86cf51d90, 0xb713cf3e9dd42bd9,
0xf4d6a8a18630597b, 0x08333b1ab97ec1c3, 0x8d69fb82b6e4c7a9, 0xcc4c36e2a1865481,
0x10812cec65496bb5, 0xa6500b88e2fd120c, 0x758d7c8b293b4c07, 0xae374f15a932b919,
0x6230ad902f478a47, 0xe7325ceedc15b0ae, 0x3e29be7fcfe42bea, 0x8d5fce8ef9db0c07,
0x196f9a2d8c50a0fd, 0x8c870532c854a494, 0x8596c8f1bfe6e075, 0x14d6d1c83e815e8e,
0x8b06e8ac21427d8e, 0x1b0e19102d24e35b, 0x45e23b3afaf09185, 0x1e39da14e765d3a1,
0x45b42fb7d3e81ba6, 0xb11b48aabb05f7c7, 0x73fb9a0c25534447, 0xdc3098db5549111f,
0x22e86b8b7195350f, 0x0e54598750d5378e, 0x233023ae55d7432b, 0x5b951a96461eb6e1,
0xfe9b9e0053a35546, 0x5d3d4fb9c5ca5e40, 0x8c65b93adcf92940, 0xac179ad45d451365,
0x14de668d388aca85, 0xbad45d3c526c5e92, 0x42641b741231d72f, 0x46cd9cb5ce258c15,
0x5f62e300d24f06b3, 0xd1f5de36ba211fac, 0x750a057b692bea0f, 0xef6e6aa15495f489,
0x4b96c67d53b44e2f, 0xb08e626af7cbe840, 0xb66b3941eeca88d0, 0x48e713b7114860cf,
0x5f44978380104f26, 0x612488f1ecbdb42d, 0x467787962994727c, 0xd97b966461428001,
0x66a65971493e3bf0, 0xa6a09522d9711328, 0x601147e8f1dafd1e, 0x9ca063e18b54d8f5,
0x7c2537345ede6f98, 0xc1742e0922274735, 0x005cfec0a41e7f85, 0xb7231a99b2dbee60,
0x8ce87bbd335b5920, 0xeedbbf48d05428c1, 0x3c70f15206a20896, 0xb83fe5040eb3710a,
0xb39c7391ca89d6a5, 0xfc49b578de256d05, 0x98e93e9aacd42850, 0x3df62a03c7db21a4,
0x9166ea7dfa21a274, 0x1666421015c1f2b2, 0xa6dbba923a7aaa58, 0x591149e04c9267dd,
0x6dd9458c9d42d775, 0x181645ac0ff68059, 0x0a7bfc178c68f5f8, 0xa1da2e544afe9139,
0xc6917ff81cbb2fc8, 0x16318521af4d204f, 0x77615ac41afbb39a, 0xed7a0d43cd5c85a9,
0x358ee0eda7e41f6c, 0x60f4b4dd83475c96, 0x14e5d47f74a6ce7c, 0x7b2250857de15670,
0x6b5d20a1ed01fb28, 0x1526022629227e01, 0x83e90d59f7f2625f, 0x3da67a2ee911e928,
0x21df0c044f36c320, 0xddbddf9ed2bfe0d0, 0x5134f9ccc2a89e31, 0x28ceed5009a7aaac,
0x527869df0b1e7bad, 0x25d50d318ac2acdd, 0xde8ac7ebfb975fd5, 0x34879005326817e2,
0x83e44d3a79091231, 0x07be1a3fe55da0af, 0xb575c32dccb444ee, 0x0501f51208bbdfab,
0xb3468b909b29b88a, 0x699e4973a320dbbc, 0x5210b1128f7ab9b7, 0x52c8c08857dff90f,
0x4f6d6fb47b042309, 0x7e8c9d86efd3c2a6, 0xbfb36997ecb2de53, 0x0b9fa5a495851970,
0x4ac1f5e7c09a56d7, 0xa8ca17be5d667e85, 0x87f0799db344b884, 0x4ef0983f97bc9d22,
0x450d10b35dabed58, 0x9e7a7012b3e13f15, 0x4e5de30bba5fe917, 0x7a782d3848d29398,
0x6b4ac24428ee9622, 0x23738b0b1b2f3b43, 0x1499af1df676b586, 0x9482d4f67f42cd6c,
0x87b2a3f71b679c39, 0xa0f1d1a19f0f5977, 0x5fef3176bca4a12a, 0x004f2d57152257fc,
0xa621032aaf4a4b20, 0x05e160844e065947, 0x30b0309cfdca4d34, 0x29f0ff26d65a5c27,
0xaa051d322bf45503, 0xe737564c7bca280d, 0x2a7b042869d82934, 0xecc188ab5fcfd093,
0x74c144405b63cef8, 0x3fd3b7f0032d57d7, 0x01935a79173be745, 0x90b255e54065d987,
0x7af78e14fe52d1b6, 0x9980250984f7a233, 0xa7cebe6cbd05bd70, 0xe569a780ebe227b7,
0x0a7d065def620ba7, 0xc7a0c8ecd90c5308, 0xf6e95e3b3523203d, 0x8781c291a3d60dea,
0x9ac50faa8f1cc56f, 0x6b17d102e2ea3987, 0x604c82db785bb002, 0xfa9f9b8ca507ed5b,
0x65e992384db10faf, 0xa7edf4762f9647a0, 0xdcf0bb310facf5d4, 0x369418e966c2a1c4,
0x2b1be9579df703e0, 0x49d8f9d01746dc95, 0x44b8310c23ca6c42, 0x00e5b61e395b2515,
0x75e57fbb64029398, 0x745a56acedc8709f, 0x6c12521c7476376f, 0x5e65e4feb178c765,
0x0c9cf19d77135dfd, 0x53cde4229c091035, 0x117fa0b28e31852b, 0xd88c8d7c6adfefbe,
0x2839e639203c31a4, 0xa22e0e884ea9f046, 0xc84c8028254bde73, 0xf0361cc55860e83f,
0x1670385f5e1ff11d, 0x933fa94e0bf00932, 0x512ac24448a7dd5f, 0xbc91fc4590ea02d2,
0x2e819f916004ec7b, 0x3f8ee20d3dfab6b3, 0xee2e25f78fcc19e9, 0x9367230908c17184,
0x0c47cc9e62def2f6, 0x3b86372b702c23a8, 0xdc875800f6e06e66, 0xac247b3cf9e93140,
0x12fc066710b9ebc3, 0x40160c16595b0d53, 0x667a781446293639, 0x5b17a76d20a64dee,
0xc70898985d183d18, 0x3ecc8fbe45117ba8, 0xa04ac07a05c1ac4a, 0xa1b564a3adf4522b,
0xb40b1ae29b738574, 0x97e783ef55d058a3, 0x2208d331d934f0cd, 0xac0d9d11fc8ecb7e,
0xe2f40ead55d78b5a, 0x777d44e79aabe146, 0xf51fb7e5e43752a5, 0xbf315e586ffe5373,
0x7f4f5c24bb729ff0, 0xbecad2e82e507b2c, 0xaef19ea329314c66, 0x01deefae5bcf8955,
0x46a3e69110ac7ad4, 0x8050cc46e81f6a2e, 0xe23ea3c75dc9f02c, 0xaa0e6be782eb4c4d,
0xb7e1ad15a41ff532, 0x1abc5e87eb4e196c, 0xffdc6226210dfa5f, 0x85874e082f760f6b,
0x25b2a77756493766, 0x4163963df3b8ec66, 0xc7724a8a13207099, 0x65b589357a4e0e92,
0x29e25d6f5e4e5422, 0xa3e7d6ce6e961036, 0x14a11a960952d617, 0x21a19bf9242d583e,
0x1107290466a96242, 0x58351b8c48285d49, 0x3e6d26ec3ddcd9c5, 0x29d5500236eb724a,
0x2c6a1ea0d55143e8, 0x99e31f2e416707f0, 0xc8ebad87963d8951, 0xc4defbd455b55d99,
0x58ce559185905e9b, 0xa9b5e1d0d25e14dd, 0x5b9da8b4baf4f25e, 0x2c103a95a72caa7d,
0xa2843f742576dc81, 0x9949888b1b7b9502, 0x8205f8d6ca97d2a8, 0xa1869d679dce425f,
0x5122de965a99939a, 0xc51d62f08c1f99c7, 0x07fb4ae2122e5e35, 0xd2e2a5f4c98dac0d,
0xbe0fdd1b3a51eef9, 0x281ad85d788fa214, 0x00c0d926b3993439, 0x288a9d31d904ddb4,
0xa6d18cb275e0ed98, 0xcce970a84b77dfa6, 0x7eaf4b92e235bef9, 0x95d428ff247c20e1,
0xe46de494ae6c0a30, 0x382763d0efb910e5, 0x03ed5b7cca98eec6, 0xe7eb8c2f4fb28b03,
0x99e5fcbd6614313a, 0xb2c438da1a500a8a, 0x945aa9d2fde89f2d, 0xc69e7e6f7340e236,
0xfb3e6ea45c0712fd, 0xf8acdc63754f0e19, 0x4a6cc387115d01ac, 0x525afe02155664cf,
0x4a55eb886dfa99e3, 0xdc003f306f7cd58d, 0x806056efe0d5d84e, 0x78342603ab82fd58,
0x57cdafafecb37c0e, 0xcd2f05af513c2a69, 0x50bc5f2009524a66, 0x1fd8b246f1cc16ea,
0xeea18db1902fcda2, 0x153136dd86636394, 0x7a20f66589fdc6dd, 0x9d6ce6af03186aae,
0x81ada8a037c9895c, 0x1605ac778c98aa62, 0x2aa197bfdcb71e6d, 0xe909d6a41829bf79,
0x51d4158e96e89936, 0xc1cc54d7fc94b4e6, 0xc1d7973f169da1ea, 0x584e3896cfbdf7b1,
0x909fb070df873248, 0x143386edb8373213, 0xa099b7065cd0ec93, 0x734e59befa4195d7,
0x96cbe07319a1e487, 0xd4f03d2baa527787, 0x2fe65067334e633b, 0xe9f95ceda80b16ea,
0x08335c5e2d345850, 0x2e2ea894972c4734, 0x97f328f728b15d61, 0x573814bdb4f47c7b,
0xbc9514f9b3748a0b, 0xc71180ae7e2d0201, 0x66dbcfe583fbac6d, 0xe2e9877c5bb9f60f,
0x9fd0b2ab762e75bf, 0x8900daff050caec2, 0xb1488bca7f837720, 0x639f157b2b753839,
0xf318234ebbadfcfc, 0xc774582fd74d8b87, 0x9606dd8f21bd4c9b, 0xb220f74a33e7f96a,
0x3425d7212ce03db9, 0xa37ccff13458195c, 0x45a9e6b33b0c982b, 0x39c6cb90c80bfe03,
0x6a8ef71b48fead7e, 0xdf03f474b88c143e, 0xc872829916a7805d, 0xf97a89600d5d6de7,
0xfbf1cc411d522fd7, 0xabf421ffe7e82caa, 0x54a628ea76f82043, 0xf60a10899be8ba2f,
0xd97b95671d91b318, 0x960acc11f7e7594f, 0x2e7caaa1429889bf, 0xb45e7efc6c724f28,
0x77f7c37c1adc34da, 0xbc7fc73e5b0f8129, 0xfbfa375aaff5c54d, 0xaa78dcd469d7f096,
0xc1f0cca311665cd2, 0x5df787be9b6fa3f0, 0x7ffe5573ea3354b3, 0x2025de5f6d78c68b,
0x6305b1a7b4ec44f2, 0xb004132e71c67e6c, 0xe518abaa81beaaad, 0xa6070fa55ed3eadf,
0xdaf3158fde77fc26, 0x17f8926dd445b308, 0xa480d86f3c4d8a1a, 0x6bb4194771bac8b1,
0xd6b2b7bfb5fc35d2, 0x7fc81d56ced90f06, 0x75a51c64cf9b73e7, 0x673cf1c0e8ee6cde,
0x0f677310aa4ccf9f, 0xc5469182718d73cb, 0x89a839f82233b598, 0x35b3053a9220a71c,
0x60d881d5862fcc41, 0x980459f9503d88bc, 0x70e3976fcf6953b1, 0xfc05ae6b5594e694,
0x48c01ca19fb825de, 0x3ec01f416081aad7, 0xd00145f3ee25ddcc, 0x22e663e4f14d0614,
0xd1a209f7548e3b9f, 0x7b6cf86d91d9f466, 0x6402f01239accead, 0x90a7943722ce0d12,
0x6c82f1a848351979, 0xb8a57d4c4fa5f197, 0x3947f05699d72d31, 0x3f4445c7376fc84b,
0x5ed9fb236598b481, 0x9fcb6aa2208f7e28, 0x398dfb5fdd9bb341, 0x481c2f7617e5de59,
0x4d644b2e8fd08dda, 0xfcea7a4300d36d87, 0x2a15a5500a8efc9e, 0xba321aaa7ffc4e78,
0x04957eed8ec2c4b7, 0xe3ed4cc85a3d0a8f, 0xd77aee27926dc584, 0xbb4866537249bafb,
0xd98f245cac9fbee3, 0x0ed33c207467ca2a, 0xae16c6687065de0a, 0xa86a12759912f08d,
0xbec866c40e85e90f, 0x843ef7670483e6b0, 0x888bba618169c20d, 0x4101782db5df959e,
0x05c6c544edb94a92, 0x7f717367731b0b7c, 0x7ddec76a6bf58d9d, 0x1390e7b61529901f,
0xbcb1483f45d321a4, 0x1fab10cfb63ad2d8, 0xb70b69d64b22b0a0, 0xe69d3b8c7260484b,
0x23fb0c0d36dc5518, 0x073e444ea4fa6d6a, 0x5aa797f7e5107a3a, 0x6e5f5fc67a2db45e,
0x43b13259dfe7d5d0, 0xc77f6da16b443f1e, 0x00399828c206510e, 0x833026886da593a8,
0x618aa9e989feab85, 0x1ea3d63e9721d43a, 0x83ef13f5eb2be60a, 0xf0869f84266fdc7c,
0x1893f8f2d9ecacf7, 0xb349a3d4c7f40204, 0xf93bf9000eeaedc3, 0x61cc5bd23bb95050,
0x542b4020c4ebf637, 0x894dbbbe32669a25, 0x29820e01b364c697, 0x3316f4f27d742afc,
0x2b0fe91dd2c0e672, 0xf7ce562bc947d1b0, 0x94e46bd523fd4009, 0xce9fdf16c0fc722c,
0x0240d5a6c8c8ff28, 0xa6605b9d2a52b1fc, 0xe8166d6c0b7dd182, 0xa23cf03207fcfe05,
0x9e3512cbfbba61a4, 0x75cda01631f88c8e, 0x62b2fb7b4757c759, 0xb93103fad033eb39,
0x39993eb95f7180a8, 0xf5411d11b4796b82, 0xa2d9c3d6bbeaf179, 0x59198832c7119ba3,
0x2b42d6c9958f7c5a, 0xe69af361fca820e1, 0x1349c9761d3e8f8d, 0x74e7a9c05e11463d,
0x5364c96723c71c87, 0x69e0194dd87ad533, 0x5b3f2d7adc45b2ad, 0x7dc438b33736bec0,
0x1109cd7b873c3a1f, 0x5ea30ba931addfac, 0x2c1eb11143af0dfe, 0xf251cbb5b2026337,
0x0fc5b9a72a7dfa94, 0xd1e030ae5a9071d0, 0xe8618b7b180df05f, 0x481bef31a552e2f8,
0xb91fea6c59a35f1e, 0xf1fea7bd86ceec41, 0xeddc293cf7da8036, 0x972baf4f04927fcc,
0x2ba9316fa11bfec8, 0x16ae3dc34341d2db, 0xb16d3ae9308ec0b8, 0xa372c1d885794d27,
0xe2edef4c27508276, 0xf4fee90e85332b54, 0xd9c74de27a30e4fb, 0x71086d5baa88d300,
0x227a4b083399f4e9, 0x6e4247a273906ddc, 0xab9a34b4d5ed149e, 0x284e86e4109ca3a8,
0xc80f836df7049941, 0x56cb47560a6f83e2, 0x54206d439288f978, 0x62e3013a8d88e852,
0x83e8978fd18cb744, 0x09468ef6a53d4d48, 0xc12490fd3261bc8a, 0x45955f4cedc534f9,
0x48d186fb23eaf869, 0x5a4e4c517f370885, 0x459ef9b4b991107f, 0xb9cd5e50f562cd41,
0xbf9955f83d5dd963, 0x2d0c4cdbfd944283, 0x7156ec54e08e1f0b, 0x1adeed7022f0437d,
0x09d8615d697481ea, 0xc74dce830a16a2a8, 0xf5aa22fbd3c0c790, 0xf0624ae5f43b46d4,
0xf42b58991d49ff0c, 0xd10d0dcb0f60af96, 0x061d3e5ac83133b3, 0x9c89241192dc2a87,
0xcebd76dcbcb3afab, 0x5a54b8130eddf810, 0x4521e56e405661c9, 0x52455ff32e7cf7e4,
0xcb0397b5d97d1681, 0x4553b6496fc73265, 0x310f98d2aec3ea68, 0x9daf2d679f7c4d14,
0x47de6520216cd7ed, 0x16014a5c9ba65d19, 0x4d9b469b61277599, 0x196e3c0b487439e2,
0x2cd8d5c921dfe748, 0x74472d3d39305259, 0xb7b7e9bafb492747, 0xc36c5100fcd02fd4,
0xdcdb0a964626baad, 0x70018645df67d33e, 0xecb7acdadd65fc3e, 0xdc1dd19ac8e788d4,
0xcb92ffbbfb192096, 0xc3f7f554c98a81de, 0x0a9286e341c21b84, 0xe2bf185ab8e23b13,
0x0c028faa07916dae, 0x87096727d60a7162, 0xda3b97663f056832, 0xe9ce804bb4ae6075,
0x5b5d70619428f9d0, 0x22b7fd23ac8e669f, 0xf4af78c412696f97, 0xa5ea97f2db089d3a,
0x4658769f687bbc64, 0x29cddcfd04f80325, 0x944c540e1d6e78b1, 0x52ff5c972b52a943,
0xf574dc9ba41126a3, 0xeea83c643431b537, 0x4ecdf281ba093778, 0x0800778d80ce187b,
0x8967242c6cf4aeae, 0x91878a12eae20c26, 0x14d3a925783d3531, 0x082349d996dbe673,
0xf2f944e0b56e7eed, 0x76c8fad969f1fe61, 0xce353e721e3b1ac7, 0x2e5afb3083176bc0,
0xf706dc933b8bb849, 0x14b64232408b4686, 0x0972f0dbfe82803e, 0x530ad214bb15fa15,
0xb9bb4baecf923b36, 0x0c2308fe46a9036c, 0xd3ac369efd48ae5e, 0xbed68633a72fbba8,
0x40ae92877a36ce59, 0x8d313c01b40681be, 0x509772c82b825ec3, 0xdbd99f91ee22cf05,
0x007e605938700115, 0xd524799dda2a677c, 0x59f9c93e8e6c6bfe, 0x54251e197ebac959,
0x8054f281aa5c8261, 0x45e27e209c6dfced, 0xa3a6609a5b7af6f2, 0xb9097d4608c87968,
0x9eb6d68825ce0e95, 0x4296d7658d1c7a9f, 0x3da1d4992e00a3a6, 0x285f4d1915bf66f4,
0xc23d4f6ec69f5df5, 0x234385526d8bdc72, 0xc31c2d6527650e8d, 0x5960f839f9f84405,
0xd2d1d5eb6c8f280c, 0x89e22f7b7bf0553c, 0x84c846cf494c0fd7, 0x23d055d765a11439,
0x51bfadfee6670bc4, 0x1870430adf276f27, 0x1e1e360424275c20, 0x78585da488cc69c5,
0x138a19744eca9f2c, 0x1dc6853290195c14, 0xdab3b91e91f5a896, 0x91f357700abcb584,
0xe5d8cbef9c8ae189, 0x9b1cb4c95b0291d1, 0x634e31d664ea312e, 0xf0d68cbfbde5e685,
0x446d0444a77f2659, 0xd834c80f95943138, 0x293b69aa7c18dd06, 0x7d4755e805bbb65d,
0x0345ee777481ea36, 0xdebe0673faec3473, 0xfb52393a5d82a9c8, 0xc001543558b8649a,
0x404c4b03ad3e37fe, 0xd2635aa468d84afa, 0x43828f9d5d476802, 0xaae632eee2c42b89,
0xb3c8165eab686ee6, 0x5b7bab41baff23c1, 0xac24fee632132dc9, 0x972fe29d964cf4e4,
0x2b94c88fd02d4018, 0xb0bffb2f2a4871d8, 0x0e04c522699204ca, 0x9b2e7ff95ec72ae0,
0x9cac3b91aa22b72d, 0x2fedd4142ce64a30, 0x646a47d042f20d64, 0x1e01b20f8d57a661,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0xeae3d9a9d13a42ed, 0x2b2308f6484e1b38, 0x3db7b24888c21f3a, 0xb692e5b574d55da9,
0xd186469de295e5ab, 0xdb61ac1773438e6d, 0x5a924f85544926f9, 0xa175051b0f3fb613,
0x9bf3db7629176ddf, 0xd53e73af2990e129, 0x5caf459b22655702, 0x0b5aa6d9a4f3b961,
0xf08bf17067ab7ab4, 0xb47d3dfc9919b007, 0xc99b1c7de482791e, 0x01c94fe169f7cd30,
0xacd67b0589d2fd34, 0xb4301dc813ff5f1a, 0x7207cbaddacc4994, 0xe513884525ac1b73,
0x696ec6ca650d930e, 0x9b436ba07d628807, 0x4e3037e8148b6294, 0x47d72ba44b125cbf,
0xe12dc16b1af7b8bb, 0xe462afca53893679, 0x4bac5266256f1881, 0x4bac6898cc267ef7,
0x9b72c54e44cbb149, 0x91118de437092612, 0xbd2bbf39973dfc2a, 0xf87a708d05995f72,
0xd89f0aac3015f5f5, 0xe00a4e47a82f6b6b, 0xb14bd14bb72e3df7, 0x6cf0cc6d6a14770c,
0xcfe82c695515ad85, 0x71c9c10b26bc1b80, 0xada0c8b80b53b4f3, 0x4f3df8081379190e,
0x06e5f650cfbf0f3a, 0x8a16ca569a88066d, 0x49bce43f1ebf929f, 0x875a1cd73c3ad071,
0xd42b163d84d8329c, 0x011e689ac046145d, 0x11c16237db99c8b6, 0x14bdaba7279e9fe2,
0xeddedb381b7873c1, 0x0f11359176f217e1, 0xdb4673bf9c4aa5fe, 0x74a16d739ffc4ef1,
0x2c5b0a97b9f2aeff, 0x05483fc48cea01ff, 0xdd39518fa66834b0, 0x461c1a0eec9ac2e7,
0xcf70938cb7fbf571, 0x6582a8c5fdc7cc40, 0x238bd05f48efad95, 0xf2d46f7ff8042939,
0x9e7d750ad7986412, 0x565d868b0c5e74c8, 0xea0a38bfcddbcf31, 0x279afecd3833af83,
0xa57386ccfe3412e0, 0x25c81c25518c48b7, 0x8d5453c6a6838e31, 0x0a65eb95c42c541b,
0xa646cddbdd24ff75, 0xe263d512f8c0d159, 0x78ebdd6cfa1183cd, 0xa7f9608ef943b910,
0x9cffe26a26df1775, 0x2313d0dd0489f4fa, 0x6e8b2f82ddbef4e9, 0x9a402af8a8256e31,
0xa089368ccd7a39ff, 0x6945ec04c76f563e, 0x53a0b4c3fd6a4502, 0xf1f26ebb6e19d374,
0xa52dee4a0d78433b, 0xa2d844fd070cd654, 0x3ab3a6dd4ed7a208, 0xe63dad16b8fcbb50,
0xe4bcde97a1f3809f, 0xef85e12e9a402e7d, 0x963f671b9048f1f4, 0xc81f1798f0241d04,
0x6d92fe41489cd529, 0xf75f52b15f3a033d, 0x374e926410a7abf0, 0x9d4408a6f98a7f6a,
0x8ebae5dead848066, 0xfe07aaa7708c090e, 0xe2495b6f3c03abf5, 0xee10845bc81aa298,
0xf8220c0c2ad081d8, 0x935a5d993e588f84, 0x33d47f6375269fc8, 0x56e8e7c3d1973583,
0x8b59c97bf2445a30, 0x2498790a73c714cb, 0xe805b6979bc4fa7e, 0x41675b6f9af4916a,
0xf79b5a2e2f40973e, 0x27401fcf90693f51, 0x0ef7abc5a44e8726, 0xa15cede03ce22cef,
0x3ac2f43afc2f1887, 0x127200bc8ba31c41, 0xdb79eda4420607f6, 0x34265f10da810040,
0xb31f128976abfcad, 0x2222c9521df3d54f, 0xe78865cfc3187eea, 0x7fb86a301c6648b6,
0x336982ad7caa8893, 0xa5c42f3f65f30a38, 0x71db98d293fb7af8, 0x8d61fceee901f3c4,
0xe2635a237d4a4505, 0x03e1698bbdd19995, 0x230886c9d850bf5b, 0x990aa9e5392db7f5,
0x096187496fa443ba, 0xc187fe4fa992ff39, 0xded600baa9ed9f2d, 0xf0e36557f8a1ef39,
0xa02a76ac60eea7ef, 0x0bcc6a1120649168, 0x28c10de4be120dda, 0x0313dd0bc49db21e,
0x97ab92b0e07ec222, 0x9d8cce5b8fe9d1af, 0x8a6f218ad2a2ada9, 0xe46eeba85d809220,
0x26d5ca6b2b854b72, 0x1a4fd16127106e65, 0xdcfc8c1b0de18300, 0xe82e25a8a26335a9,
0x9bcdc6ad20764e59, 0x9c42f8ffc11ed9ee, 0x6d551f8e4efd74cf, 0x260d04d6bfbcf372,
0xf16941ac2e8bae8a, 0x407b50c56a914919, 0x9801c33b2311243c, 0xcf826dab0d5ec9c7,
0x6c2d1ccc08544ed5, 0x68570a7772f71e44, 0xb3855fe0b2b6b6a4, 0x782ddbe2cb51f53f,
0x9b1d7157876d95cb, 0x31ced7d658cc4bee, 0x456d689c02c19617, 0x6b49082608d49c84,
0x07aa834bb6514c46, 0x3adee3467da44d26, 0xa8aad9edc660cc56, 0x8876b8fe5fdb1386,
0xa82924bc3c0c60d3, 0x4f6d695c3a042f80, 0x0c3fce41110e0056, 0xaa59d4fed7ff3418,
0x4a99bd5518f33374, 0x4f330208d9104e05, 0xe05c9d54056d0f6f, 0x05c3210b869c9c19,
0x7965ec2b73839b1f, 0x14d103eac5443f16, 0x941a6455b6373b89, 0xc61382ad217c89d3,
0x82ad6ce15649e268, 0xec13335cc9c6b073, 0x95a8c223c1506e34, 0x99565767586f4f6f,
0x53b3dd4c689fd872, 0x3096a25afa00b8af, 0xdc5f696a982fde43, 0x96d63e497a7127c1,
0x1f8866214bbd9e03, 0xf17c38523a33bbb7, 0x0217ac556184040f, 0x2aa040fafe0e56f3,
0x5413cad8ef31839e, 0x09c2e5b2df55b1ae, 0x372396bb472c7fb3, 0x91c56d4c28dd8b93,
0xa06da020ce1b2a62, 0xdcd0bf3f3c872aaf, 0xcdc5c69d5a3f245b, 0x807e57cc6a0baa2a,
0x90734f540cdff7c6, 0xdf39c3c40a9021ef, 0x60b4056df68e6127, 0xd2af8f5df9466f34,
0x5e5463ba568a7b26, 0x9a541f5c3856a2d6, 0x0c6f26e3634b5d2b, 0x016bff3cd0d42b67,
0xc57a7cc17eb98dc1, 0x99b1402be7403fda, 0x5e6a81ea77908fda, 0xd37cbf986a6696b6,
0x0020d97bf5c65da1, 0x4fcb68ad5a292b05, 0x93e8d6472f1ca47d, 0x80f0b95cb631e75d,
0xc2a5b3b28a5a888e, 0xbce7c6173dab527e, 0x68b3244089195d59, 0x0ce3da229a8f8130,
0x6d2f307ed2dfc908, 0xa910a03ba7d18994, 0x85f40c97ac573df7, 0x6efcbb55bd0532b8,
0x025fcc7ff49807a7, 0xf559611d0ec62f8b, 0x4e51fb987486f350, 0xe09d1352c26b6628,
0x8f07a7c45fd549de, 0x2e36c9029ba77658, 0xa2f2482497f85cc9, 0xf70d4d3326c4ec98,
0x65375895b7de078b, 0x4c9147353cce21d7, 0x61154c92f4657735, 0x8fb6aaa44ee46557,
0x1045514a0a3855d7, 0x114d6ee9459a439f, 0x8af859115a8baf60, 0xf4e3d22e7e82994c,
0xd8cf659bd03b99d5, 0xe762db71cceeb428, 0x1d0a34978cd8d362, 0x1a8b6a23906828f6,
0x3e9e464a8eb80412, 0xff93b3661c9ef559, 0xd13e8df64a259323, 0x9509b89936670a60,
0x6e842d6830a603f1, 0xbeb483c1f3dd7550, 0xbbdd4370a5bafa12, 0x01aeb2583a265a0b,
0xba32891ca0f44f1c, 0x7227649aa72e811f, 0x42ed66730caddb77, 0xa745d2d46bbc0100,
0x0d4b580ab4e70a73, 0xa14ab011635d537e, 0x6bb951e294a1688d, 0x5666eced4fd6e84f,
0x50f060247550750c, 0x3184af8c1a9101d3, 0xb2c3fee458d21bf1, 0xd0d0a4af3e854474,
0xb3aa46f99b617e8b, 0x34a16f76da10c772, 0x5f2ed357c8c70597, 0x0ff5f4444cc3b8fa,
0x597391b42064c823, 0x2b82bab3f34276f7, 0xc4cd984ae478b494, 0x5c2b940d90bdde7c,
0xc1dd881bdae2ce9b, 0x031ab1faae316631, 0xe5dc5f10ba1fd7df, 0xa282b69a9cc7e751,
0x2fb96a738e878366, 0x49abc5d861c71a01, 0x2267bd7e7bbb082b, 0x6b57cfb38727382d,
0x06caa4e0ce59c049, 0x80eb0d7862b82618, 0x6f1418e0f0034c16, 0xf2d585ee3129da11,
0xf3a5a16a7a34e29b, 0xfa60ade62b7ebfef, 0x4fc35ca6ed5da985, 0x84ecb08dbb6bc942,
0xd4191835a70a0cac, 0x1fe50ffdbabfa1af, 0xc7086657edb27d4e, 0xba1186b202677d23,
0xfcd58c83cdf9573b, 0x796e556329970b59, 0xdf80434a01cdd77c, 0xb9031b96c694b3ea,
0x10a067a88c56d56a, 0xeb69ac06ddb99c0b, 0xe2be9bfd03af657c, 0x33d01126bc1d6660,
0x763e22d835975904, 0x678e4b846e6c3988, 0xd0cda63cc6d8db9d, 0xded91ce43c156624,
0x00b62ae332763d12, 0xab251426c206ddf2, 0x967fc5fda820704b, 0x8583a2c9801f6193,
0x3fd1489356c21931, 0x1923bb8e361ce9c2, 0x716f1085fe945670, 0xc76e74fd2f96230c,
0x09066f90c1dd95e8, 0x12ed2e9edb82365c, 0xbaf6731e65f8b612, 0xa0ab605dd3b94ddf,
0x9e6fcaa6ff165a55, 0x1d443b13fc522cdb, 0x2c2f4b6e9acbe026, 0x7a32f7eb753a5db4,
0x30d33ce171f75695, 0xa82ef196ebbdf5e7, 0xeecd1be1e9868e60, 0xb3613db04b7c1274,
0xb08bdbb15b5fab03, 0x766d5986cf0a63bc, 0x145bcc35160ec214, 0xc4dc582870a4865c,
0x5b66e1ef3cc886f5, 0xca5861514a604952, 0xace6e4548eed8bb9, 0xe7958d13b21dc68e,
0x37d29685e51062d3, 0xc1d318c6b7fdc6a9, 0xff474de9c462952d, 0xf10977a3ca4c8312,
0x22a5730981bd9143, 0x20f3fb8d30921bf6, 0x66e3eba30b3187e3, 0x77a1531d0309fb68,
0xc4e048b2171cf70b, 0x1d55fd8b97364bfe, 0x24913f443d2e59ef, 0x4ebb1a9f77b1b37a,
0x9f009cd135eb62fe, 0x1ab9f9f9ad320e42, 0x38a953e6dc64b967, 0x60329de5f939ab28,
0x221ef2c26e0c75c1, 0x2efa1c4f1669dd05, 0xe5297b4e71dd881b, 0x034d751855b27e72,
0x480906aefd404ee4, 0x2b12e6b5d68f1f36, 0xbee7ac46f05bef43, 0xe4fba571136f8e16,
0xdb6f6845c99c08de, 0x91a729b2702e8d87, 0xbe688461ffa7eb26, 0x4bdd07f6120a7b54,
0x8de878a13c97c9d0, 0x03891c4d94872229, 0x11a1e8a0ca1c6eea, 0x58a4d1daa305d656,
0xd9db45c25fbf0309, 0xe09e528aceec2900, 0x7049affee8ea5660, 0x66e4e8c2cae2e4ec,
0xa8e24fcfe8d53fa3, 0x4fbe6c8dae1409d4, 0x5018e9c694839ac3, 0x562a7de68c7e1881,
0x8d658e13ec4022a1, 0xacfc2409402cb30c, 0x8c4c80c111d8de8b, 0x8ad6a83dd6666736,
0x198cf279ee2bce52, 0x925577459acf31ef, 0xf5a74b800e44c362, 0x203c37dabc0200e5,
0x5c8ac324ce758ce8, 0x5f64ea62365bef84, 0x138af91003604522, 0x6a0669fa247ac124,
0x723680ff681991aa, 0x2ae1248a776631a2, 0x30c2f7c42054d7fe, 0x440d965883444c82,
0xca5a12119d809509, 0x5b96233a88e92e32, 0x3b3f33f5feafc4b1, 0x688d85b6162d56d4,
0xde618b818073a554, 0x7f0cb30526e29844, 0x2fbd674d4a49403e, 0x8feecfaf7144793a,
0x60ea472f6d160ab0, 0x701cf35ce48e4da3, 0x6aeae11045b054a4, 0xfbb8c92cd13c3aa1,
0x4964a58ec91ad855, 0x16cebcab10c4b17b, 0x59c0128319181356, 0x7a97da113c44287a,
0x050ef79a1a4eebe8, 0xfb7bd4b46ea7f75b, 0x4b517f6ac0ef31f8, 0xf8fcdd1d6cc9556d,
0x32c04cb56a63abfb, 0xab96665ca411f943, 0x10250247d9332c0c, 0xcb4f0e321c1991f6,
0x299776d9b4558a60, 0x8e011531a9cf1b9e, 0x33165eff1c645e3a, 0xbf5b572eb948a73b,
0xa37ebfb891e58dab, 0x1d7bc09268e61cf1, 0x25d8508f797111d1, 0xaba25583aeb7de80,
0xba9eaf82bf936899, 0x70f784a019f7d817, 0x920ac3630d8b4054, 0xf1a5d10321cca779,
0x705c2c9025f20c7e, 0x41f7357789c4a593, 0xda64026442efe7e2, 0x844818444ec5077a,
0xecda697b4b69df11, 0xcd0c0aad893236cd, 0xd4566c3fc5e7de22, 0xb81fee0c0cca4b55,
0xc6f7aec14085ae58, 0xb4d879f05d4d6b4a, 0xe41bc026babae7df, 0xf0f13a0e01d1214e,
0x9696d69b0427d127, 0x28b3b5047ba10de2, 0x38631ba6340ef020, 0xca4882ec5bd7603e,
0x94cc68842fad1e41, 0x366bbd28a7acfdcd, 0xf28d3630cb87ae64, 0x02c2252b6eaef3a2,
0xaa72f37f327bbef6, 0x191cf174404ee034, 0x99bfc0d4584d5fb9, 0x6fc646b4e6b6fc4e,
0x22d6f8c4a73e92ae, 0x9ad5cda5d4804d87, 0xadda180b67ed9e35, 0x91272b4ae9a3d440,
0x57f857b695b82ecf, 0xdabc49b2eb11692a, 0x71373b08c9ffeab6, 0x7c563b6055379455,
0xb2fc097035ff7434, 0xbb7722ef9d68f875, 0xde1e852915efb28e, 0x48483957299d7659,
0x51140a40259e55ba, 0x70f30a335279e6b1, 0x08c5f25a35c4d8b3, 0xe0018ba15f902711,
0xf58d8ef5804a697a, 0x8024142ec7239bbe, 0xe75ef978815644ca, 0x5ba8cc73ad4ec2f5,
0xeb6d07638fb7ac37, 0x319a996be50b108b, 0x749e64f9086afb21, 0x3074106e11f211d0,
0x292f73cb5cc0ab0f, 0xfb353e18c4afe472, 0x0a04ef4951360f28, 0x0e208953f5402577,
0xa8e7acfb3bcc80ad, 0xdaae04e3eab7408b, 0x05fa2bdb41a3299f, 0x4042b061e3cef2b5,
0x1a2bbfce72308753, 0x989462e2891146c3, 0x620ff72b80078d34, 0x2cdfa69689a1d76a,
0xcaefc67590a9fffe, 0x14e12331a0d49e4b, 0x3c504e6a928b9921, 0x3388d1f9e7a1db29,
0x72859f2b9cc8acae, 0x368852a3899eb4b8, 0x3e0719ad45113ecc, 0xa2501a74de7a3473,
0xa866043ab5b2face, 0x13ffac4c661b51a6, 0x68aba1110150e54f, 0x21d2a7edeccade4c,
0x941a8a72b96414a4, 0x67c6a441d60083fe, 0x5b2238e90f1cc5c3, 0x760b0c5d2b9249b2,
0x6076621a81c5de9d, 0x7d3c8db2b101d5ab, 0xd6329e970cea8175, 0xcc49fbf5caa71e18,
0x781867d35c0bcb98, 0x6375fcfd1fd7cc35, 0x6a7e977ad254f10f, 0xd8fad55bc15f9a08,
0x8ac95c67078e210e, 0x5792f1a6641e8bdb, 0xd99c4053f6327719, 0xdf23a0bfdd6c8a0e,
0xb9a6661c005d0101, 0xa60839eafc06591a, 0xafae4c2f63014dff, 0x74e0001d267d05e1,
0x0c735e460f029981, 0x64de0be874486089, 0xe8bfe428f59e4242, 0x8c40c6a0a7b44cd4,
0x6f18632171d561fd, 0xd97719a394d22976, 0x2909c39b175f7321, 0x914f25bb8c9cff2c,
0x82157fd5aa163bdd, 0xd1540ab6edbba78e, 0x415dec6cb0e65326, 0xa8455758d78f7301,
0xbe92345f14868d3a, 0xe816a57c82535d16, 0xd395966f9dff8e3a, 0xe87578c981d74a43,
0x09ebc55a32bbae94, 0x91912be6836ecd60, 0x34d326b51e42b410, 0xba7c8dcbd4b80b74,
0xada3e066764e0258, 0xd17510cd254b4580, 0x6e66b73aac68fc98, 0xaa0a5e539a4fd735,
0xf96077ba310a49c0, 0x812a2b1f78cfeb48, 0x84c4cd57d90bbf5f, 0xd830d15de0e8db13,
0xa6a69e07a3b2575a, 0x9561f41b8dc11f86, 0x9b4a5a8cda827d2a, 0x9d4d907159d3d9ad,
0x7f21cb643597c466, 0xf7d6bea2082d1405, 0xdc07986130ad13f9, 0x32ecaa8353e6e9ad,
0x284061b34c13d1b5, 0x2077539cd76a12f0, 0x679b013539fb1893, 0xb941b7b488ef8a92,
0x9a07a0b2ca64e77a, 0x573ff9b67c5521b8, 0x43a04fd427b48d30, 0xac2099118728e36d,
0xcfd8d8f49b4f9f01, 0xa49f42accb65c8cd, 0x2f75c9cb9ddacd23, 0x095cadd8ed9a94ae,
0xa0cd4ce9759c4c28, 0xfa96431b2a8d6b3b, 0x918ac0dd109e69ff, 0xca9c57aa266fd2e7,
0x4ac8c493d767b3b4, 0x2800b4692d687c4f, 0xf0ff7c9794eac8ac, 0xbd55ecda9aa06f1c,
0xb2a612f75b8e1970, 0xb77262feaaefe0db, 0x47e73caacb0f78ac, 0xe42434dc53e72912,
0x6382d14927276575, 0xd1ac262861df1026, 0x1d99cc06718c3c47, 0xe717aeb79397a7c7,
0x0d1e0e4c643c223a, 0x94d618110d1c7864, 0x64501fa2dd7cd4d4, 0xc42964df4caf4746,
0xf458f6fc93f7e80a, 0xf13f558707d7294b, 0xe6d9a93d888d59cc, 0xf71c601dbf431d97,
0xa11f3753622d7bef, 0xa9959d6e3203ed0e, 0x03050bd98ddd1fbf, 0x6f999826682aa7b7,
0xe2d2120b40825036, 0xe8deaec0b325df31, 0xecb8b6a6061b290a, 0xe8aa723fe1b4c95a,
0x54d162af219109f8, 0x6750c3517199cc41, 0x70a9ace837ddc93a, 0xb5b88206de68e5bc,
0x0a38b0e43299957e, 0xab1c675e7446cf63, 0x6dd357907b12ce91, 0xc386f7c6ee1cf3e2,
0x607971a75e3f8f0f, 0x3fdc591d5a1050cf, 0x16df0d0d90454012, 0xd371db3e374d3850,
0xe8fa49a3ff272c56, 0x69e5ae3a74f13fb3, 0x0c0068a068f88280, 0x49e7101cd3ac2a7a,
0x9b8a0b0334280280, 0x233252a76815d62d, 0xbdbddcbecf61ff23, 0x764cd6a7911c1dec,
0x5733225cf238260d, 0x990e20ed9890a21b, 0x21c80647cd3361ce, 0x8b6880854bdd0005,
0xd5b28b9b75fc85e8, 0x1710c3d83ba0378f, 0xb8d807694f113a0a, 0xfaad51da4a7051b1,
0xa45db72027d53a30, 0x280e26638a233612, 0xa205b05c1f0ef9e3, 0x5bc38540b011759a,
0x67d530d9255b5728, 0x5efd86e9048c4540, 0x8ebb9b506f0e99da, 0xb3f51265d01ff5e6,
0x231c03e635a4e844, 0xef552f15c1eba62b, 0xe0e83d685703e62e, 0x8e5a4ee5c1593a78,
0x4638afd3fe4e1eeb, 0xbcad9b673a7409be, 0x40eba35f305414e7, 0xd543bdc2ba151468,
0x25a062fa1b42fad7, 0xf9b13970a7fe29e5, 0xe3efa3e7d6c8e226, 0x6bb2266735ae17c5,
0x76743e4f11b27f3d, 0x1b5a4216dddcb631, 0xd840f4dfdffb7540, 0x4776cb97421ff2df,
0x63dfb444db4293cd, 0x2ebddc65342b75c6, 0x8701f2d0f36178fb, 0x1c51959ecb1c5ad4,
0x2c365c987c655b37, 0xe0f26f81ac37bdfb, 0xf2410bba716c0cde, 0xc0c8b49e466405c2,
0x3d94e9711367f462, 0xc6fbe99363f49103, 0x8eeaeb3c5d40767c, 0xfef67a8354d69aff,
0x830817a4fb406e08, 0x568a1dfdecbd95f3, 0x3ee240edfbef6776, 0x45bdda5512f8fc61,
0x1fad2fd530f449af, 0x301b6791dcb2eb86, 0x478104bb20cb96d3, 0x39d20faf4b5b781d,
0x9196558cace2739a, 0xd4812e1f6a22e6b5, 0xac22c499b6c9a8ef, 0x99e6f7c809f5f731,
0x7afe3ad2fd697710, 0x87a708ed71cc19e8, 0x034c371483333c79, 0x49de6d901ebc9e7a,
0x1aafcf1d0502ef55, 0x96a3e500b60d3e34, 0x26123e766cd34f41, 0x4de99692b8a81684,
0x7998a64c87e60f74, 0x811d9139677371f7, 0x1a68a2c8f524567d, 0x8250aee9691167d2,
0xe5f9369c26426b4b, 0x76c48f858762b114, 0x0d146641624dc64f, 0x521a913be1fc9c6e,
0x4c8ebea64ce4955d, 0x7238f9ac21fade30, 0x4e9da14b37422e94, 0x403f7555150b459d,
0xcbde6dbb7305cbce, 0xabaa0268da859a50, 0x99180b068ab66140, 0x91474cc85c7fc89d,
0x66a84ab716d46041, 0xdd6d77cebd4ac464, 0xfadf0321b4b56d0c, 0x83b56ea8fc36cc0c,
0x5cc59de34fcdd889, 0xf3280af9092a9415, 0x3dc7cb5f8e37a510, 0xf211eb93965882f1,
0x3412b3727741a29d, 0xc3fe9f78ca6380cd, 0xf7ebb1b8eb800e4d, 0x80d65945e4fa1c4d,
0x1df178b11b1dc04c, 0xc7aa27cd65da7f9c, 0x7e6a2845b6d84088, 0xdd8240183a74676a,
0x8db28ba78d32b0b4, 0x0c451d8fe6b73523, 0xb34af14e8e378844, 0xe58d835f32369970,
0x2094f6549027bf80, 0x6a03e5b67463215f, 0xf8bc1aff1afc7005, 0xd745037f94bb4001,
0x88575f45379504c7, 0x3b25988a5b8ccb9b, 0x4069cec592d47d53, 0x2cbbf7cc8d353415,
0x725da4fbbaf9b78f, 0x0242fd24935e9b26, 0xb40971211b5a7b92, 0x297e3bef4d242a9a,
0x4bb4a0aaaf2857bd, 0x448c3b5030adc265, 0x2e65c5e13d40efd9, 0xd819a45a27b78abd,
0x58d9f5a4cf282125, 0xa654c71298e046d2, 0xf4f57f544ed44706, 0xc04ae7c953e5d4c6,
0x48d030f4a4ef0452, 0x2799919496695526, 0xc3cf18f14008c576, 0xf0e1198dc72fce38,
0x33bbe17c1b99f529, 0xc9a7ef8efe39d005, 0x06f1a1ba2aa15538, 0xfd7a8f59241c23bf,
0x8dd483497471a821, 0x1a04fa5eac53f608, 0xaf1c812963a96a86, 0x7984ad781f38febd,
0x95c36feeb6e2b256, 0x52fcd56f8d7e0fdc, 0x9e4a061be97335b3, 0xea8936d1f7c18624,
0xf66a08aa20bcedb3, 0x5073b3ae90088616, 0xc8d39abd1dcee456, 0xe2d061ddb2fb6000,
0xadf334e15e7dd882, 0x394bfc5f6be72e4b, 0x6f37881ad32e7953, 0x90a254d5f61f8331,
0x4478bbe1d7b61ad6, 0x63e473c4f2c7eca1, 0x0714897ff257f53d, 0xd938342812c9e8b1,
0x139ead73be1afd06, 0x7445de40b1ab3008, 0x9ea93953b9f2b43d, 0x0e1bbd2927301eaa,
0x51447217ae48146d, 0x5e446d4b40e7a3f1, 0x944e52bdaaee8769, 0xb7a6f1772b22ea35,
0x33d40c6c67dc0875, 0x553b60f0f097fec9, 0x691d68d913260bdf, 0xf2e78e1e82670a11,
0x9b367cd9553dc0e9, 0xcb2695f34fc667b7, 0x340610dcd702ef9a, 0xcb10bc9e24d7cb70,
0x5789a111f099ca50, 0x701987998a9b2e37, 0x391b486d2ed7f931, 0x08e375982f4a7c23,
0x7d8cc5092821fa8a, 0x10b2fdc43ce64ba0, 0xe37085b7dee94a4b, 0x15cd5cb23dcbe670,
0xd100fb37993fe9a5, 0x22895b26d28a03a0, 0x3d13bef331a1707a, 0x5b687349fa78f208,
0x968db6b956f8b7e2, 0xbf9f2de9428b9a52, 0x14d64e2377e6b58e, 0xdd8dc94458a21272,
0x34a6cd9ed4e28f78, 0x75cfcf333bfb0b2a, 0x4c3d6ad0714029c7, 0x721465d30a5650ab,
0x8b2e18e8e0a358c9, 0xc326187d48f97cc6, 0x24bb28bca196fd0f, 0x5533d96aea0aa39b,
0xe27724e58bac553c, 0xf5820c74f70e41ec, 0xbedc74954a9f4e08, 0xabcf7be9eb0a912d,
0xedba74e0f2e70486, 0x0dcb7e38833016f5, 0x61a3dcc8e2c38f57, 0x05359e0ddc02f380,
0x9b510b6a935f11c2, 0x9e479f3d5363963f, 0xc135dbc98f45863b, 0x29006795f7081b74,
0x04986d326e776522, 0x666c2b3f2d17be14, 0x02a796066aa411ba, 0x78357eef70a3154a,
0x73e8632d15410857, 0xb3df50e681d36f62, 0xc08f06521f695206, 0x1fb5e193538dc744,
0x31d6b5c335c447f6, 0x0963f588ca8daa48, 0x141df49b2865a791, 0xd241f40c8ff83d47,
0xab5ee11bd28f58b7, 0x32749715a0fd116b, 0x75c1520d4422fe5e, 0x61d0a89c3e4b2956,
0xa93a41d719f3f3ad, 0x74ac90f656868ee4, 0x39f40e285e898f38, 0xf2c95e94457de860,
0x81e8666e83aa12cb, 0xb9a2271ba4eaab64, 0x7dfff681c9491baa, 0xa76af98b24319655,
0x2dc0ff6fcb0ad706, 0x2f3cb9bac9166509, 0xc8877bd96d8f27e2, 0x8c7ff78e73251053,
0xded45939cc99d790, 0x01edd811ba3ce20e, 0xf9f776f44e4a355f, 0x76f299d9251a0616,
0x582f895c076c21a3, 0x1dcf4c3da15e10aa, 0xe3f0944511ecd362, 0x0d5b198cebd8eda7,
0x4118122e6864e93f, 0xe6bbf73a8589df1a, 0x65dc1bc0548e9907, 0xd52817edf1de216b,
0x6071d65140975f36, 0x7a79f7dcea535472, 0xafb749a013d9b373, 0x6af8d9d983b3028f,
0x771ef9f7e17b9955, 0x68aedf678ecc491c, 0x9ba61910b5a45b38, 0x66ab19b350eed8a8,
0x737bee9b61e2d823, 0x25aeb471f62d0ad9, 0x8aa871eb178f838d, 0x175c6263c5d3641e,
0xe32714b53b2d7449, 0x2e5d0ee0485c9b67, 0xc80a759e5c221dab, 0x4d3bedb93ca4b3ba,
0x6c3c8f60eca9b65f, 0x887a2d16f1cf4584, 0xfeefa866087fa1ac, 0x72953eb3757bd02a,
0xd6b10935c6f1b736, 0x8d2335781bec23e4, 0x10170dcbffdb22d2, 0xb05b009a066a0cf4,
0xf36acca25726c9fd, 0x57128b8e81753928, 0x5abf006f81e72495, 0xd9cbe1fadd3abc5f,
0x5a91233b058aff61, 0x22eed41827ef19b9, 0x7b44461a1436f2a5, 0x85c89f30e9e75a3c,
0xca0a7a1b405af455, 0xfc40a996bbf51c6e, 0xaf7df64ea7df2fe8, 0xc51af6ed5ea9b06b,
0x63460d443e5a8a37, 0xae957ea45f460226, 0x686a7db719a5c7fe, 0xa60793025c3c01a6,
0x1bf22a74882f9f3d, 0x602afc7610b8183b, 0x2bcad105e11c1e9c, 0x1763856c20844186,
0x3256bffe3695c260, 0xcca33e4ba1e3567c, 0x54b6ef8db3b8e2a4, 0x14d0c6c042e314b3,
0xb698be875dd42c11, 0xb6e212d089400506, 0xd021de2984d31f8b, 0x94f8c8364dbe13ea,
0xf209cf1332e4bf80, 0x8f334b2802bf7479, 0x5fda4c370a978a8a, 0xa6c28ec6590bf7b2,
0x093f45e90463369f, 0xd0c80f01c438179c, 0xf272eae1c920c8df, 0x1f051069628aed05,
0x6d532ea42468c108, 0xc9f7c0b132c6e780, 0xd95637a9ca70d464, 0x6b888561ff4b4461,
0x1a5d043244d61382, 0xfd12e59fe88a6cad, 0x9e2677d977c87f05, 0x679be9d8941e5116,
0x334f8739748392f5, 0x7e0c2d86fef6a485, 0xe63fa47138d4e22c, 0xd9ce3c6d7f9ee577,
0x08f6dcff59decfd1, 0x80ab2b041e1196d2, 0xc4a661c1ece4be28, 0x7e9dc93ca5a397b5,
0x72abddfe452bc71b, 0x3193bd3dfd5e47cc, 0x9217a031f515c4c4, 0x7b13ca660df16a43,
0xe9ad98ec1a9680b4, 0xa93cbd4d7136f523, 0x5ca2cc48894d17ad, 0x8b988d4b544a1bdc,
0x702338808fc3806d, 0xf279ef6111567d95, 0x3053423b63fcb9aa, 0xe9fcdc59b74029fc,
0xdc017ae6b18f15b2, 0xe7035b2187efd571, 0x4680b7071ed25ecc, 0x14edb94d391b6228,
0xafba187b8de670c7, 0x6ab1e3851691edb2, 0xd82f0828c8d9e1bc, 0x9e90c1d129f70e9f,
0x620c1095426d9eb7, 0xabcaff73f6fc12af, 0xf8572ed4d17343b9, 0x3e52f73530d5a11d,
0xacd3691f4bc76a9e, 0x07a7caef9ed17213, 0xab1bb1a3c642596b, 0x0b2283d501dac666,
0x7f688fec2165e4d7, 0xca4154a88b7d70f1, 0xac5c9ab32f46b80e, 0x22aab01de72641b0,
0x3f44fd289f03661e, 0xddfbb3ae0b607592, 0x011b18b0798cba04, 0x2f489b6ba362c59d,
0x21847c41e792e2ec, 0x11da7d848fcb250f, 0xddcc95ee7dc38bed, 0xe2ac1156dd72b866,
0x726df81137f116fc, 0xe516c18bebb3e97d, 0x454ad087374cf8a9, 0xabdc72a894db3fbf,
0xcc36391727815f12, 0x38d720511f6a53d9, 0x4b9cbf969b5518a0, 0x258dfd87d645e507,
0x2a96eb3e3fc8cd85, 0xe731a82cf05e90b0, 0x07306f29089ff5eb, 0x489024507ff8d603,
0xbbc45a6c935b9b52, 0xe32aa8cc3e53f09d, 0xbbb67bd44da9deee, 0x1ad13705b64c13d2,
0x4e4d98e087d9b4cf, 0xae8b79449093e984, 0x59c4e5fa553d80bb, 0x1701bab58a7af1a4,
0xa4061417a7c9fdfd, 0x4bd7bd7343ef8994, 0x99c4d50bb26095cf, 0x155624a78e4f3a2c,
0x4992215f101ef1aa, 0x75ee42c932bc470a, 0x5390282afca5b442, 0xb2023c47fe233df4,
0xd64c1ceca080ef5a, 0x3722b56dad48623f, 0xd87f2a76c439ae24, 0xd0823b29d8628920,
0x96eb8bd6dad283a5, 0xf818072e58829930, 0xd2dfb229e9cf3ee9, 0x602471d22b439a43,
0xe4bb37b1346dab0b, 0xcec1ecc625bcfcc0, 0x8ebb7dcae4cc9d60, 0xf6b5dc623778bb89,
0x1e876c3341133902, 0x6ab18b75f23573f7, 0x9885a43501edb929, 0x550db363fd93b103,
0x831940cd1697c962, 0x5bc6dfde5c3e7419, 0x26ebae1eed65c5ab, 0xbb57646a2f3a3a8e,
0x3d7102b309e1719c, 0x2b9f3bb56b023593, 0x6cbca03822826f3d, 0x52f1535cfb177312,
0xb986f6b15eaca9f2, 0x35a741f2bffdb5c5, 0x7fca371cab594e00, 0xcf7ee8c03c880137,
0xed61d2c52f6a77da, 0x3050b21711c873ac, 0x7eedf740cc7853af, 0x7d387e25f9c473b6,
0x195fe31416abcd2f, 0x4eb128074fc308d5, 0xdcaa5856b6a0db43, 0xeb764ca9a9d59ea9,
0x1da220342d9bd36f, 0xdb93663ceb69eff3, 0x1a54646d49f1a3c6, 0x96499915ac0510b6,
0x0c8fbc16f7fca893, 0x7fe4c77ab1625270, 0xd3e16bf639e44d4b, 0x4d53062add112a95,
0x52891b721fce174f, 0x55c3871904a640c9, 0xd8c0cad62bd9f7cc, 0x408859c2597b2262,
0xfc4b2adbb90ee5f6, 0x415eaacd634f85a1, 0x7133e185fe12c5bd, 0xd4154199c7402aed,
0x472e22e366ae35c9, 0xf5f6707c24855664, 0x18209dc2dadd4a13, 0x62c3b42bacb3fab9,
0x2f24d6b80aa57087, 0xe039e7732df76e9c, 0xf6f41cd0ce5036b8, 0x19b639668ed7d35d,
0xdd75c423081ab649, 0x2be7d21b5d5a9b35, 0x43e3bca3f403b4a1, 0x4c6f940ade0db5d1,
0x656206c5e5b5d89f, 0x60d2c339ce45c060, 0x27b6d6e155c5d7c5, 0xdce44e520b62e61e,
0x143b074ccdafe17a, 0x8d436b02a9152ff9, 0xe18a593a0e66cff7, 0x8592e4df8a7b35b0,
0xc39201f83891ec94, 0xb36af7f64363d1df, 0x9e4a541ff0298d45, 0x795e466c0882bf39,
0x9c54741515ea8f6f, 0x4c4e3c0c4a303326, 0x6bda83f4f3e6d3cd, 0x668c565a42695f25,
0x0ca4c56fc33ded6c, 0x2a6e963bf3062570, 0x90c1ef9d1d2be33e, 0x9093479023d1a563,
0x37b3058ded2dab1b, 0x7a55d35491a5bc97, 0x22d086ff6e80386d, 0xff8b8dee7261f9cf,
0x7be3abec5b3357b0, 0x7404e86b425bfb60, 0x188397c16c72b924, 0x14eb8615bde786ac,
0xd234c2ea20481d91, 0xffb3fa8480b57e50, 0x0d9831591b83d7af, 0x38bdfbd19746ff3c,
0xd0584ac628213de0, 0x2ff661657beb456b, 0x0653c28f2cce397a, 0x7b185b9afbd583e3,
0xeaf4233af972f141, 0xce25850a7c60bbef, 0x6cd44edd5684f4be, 0x8f0511d59dbd2d14,
0xd22ebba9001557db, 0xb028d524229b133b, 0x5de2a8c71e0a263e, 0xf80cc182eb5cdf6d,
0xe39c9556cc433c5b, 0x5ec1b519805f5a54, 0xb799457309a3a5c1, 0xc1397b5c01da4187,
0xe57a27d50b546a73, 0x5c9fed234b4bdd93, 0x6e2228bcc5a3c247, 0xfcf487edf8fa16cd,
0xe86e88aa17957a62, 0xa9d62389ef1da2c6, 0x57d3799a8d85bd09, 0x973c185a7177626a,
0xa542e7b1e985844f, 0xb1d010ecfb8c204b, 0xbb73a7577cb4933d, 0x42b70c4c01cb61c9,
0x72854295ba34b1f9, 0x9f1be157a2ae9841, 0xecacc6be2e852d96, 0xf020e49d5a2f44bd,
0x9c1e5c8cb1db7c67, 0x69421db1cd34f59b, 0xe083595e231dfcbb, 0xd453d34c8fdfaaa9,
0x6e32cc038b107e85, 0xd1dd717d4d0fd2ad, 0x04e525e450038090, 0xd292012c3b978e1f,
0x84e353973cf7654b, 0xd5d480a6df45f277, 0xf168f0cbe4a9fb00, 0xa4a4ba92bbf857c7,
0xe954bdaedd7cdf39, 0x52f4f682b93bf065, 0x80ad5ebdce22226e, 0x8a48594769f445d8,
0x69a2d144e3f8b817, 0xe06b7ff400eb37a8, 0x63fc741bfddb3854, 0x62de466a14d395f8,
0x9948d98e9c5093a3, 0x3a0a330e8be12fb8, 0x1088e2b79541c7d5, 0xa848620fcd25ff40,
0xe78a59fc927bd01e, 0x9870072664c53c15, 0xd892a6a74c560062, 0x509140725dfa1da2,
0x455e1d8ac84a55ae, 0x5aaef818be798b9f, 0xf24bf81a7db4363e, 0x83588e6e380504ca,
0x298523ea5e8bad0c, 0x53be8ff2729d2471, 0xe34a6099d8d1a5af, 0xf6f0a090edf46777,
0xbf14daa2d24d5d40, 0x31fcb4f35ff341ed, 0x324310e487323c72, 0x3f59ae8e8ea23b71,
0x00053b234c3701a6, 0x091f62ecd5141cb8, 0xb4765320fcbaceb5, 0x0de7d7ec2534f26d,
0x374949c64f91debf, 0xeb1d31dcd3c1ab45, 0x10eaab326304d123, 0x10fc17d27f69e141,
0x117d00050fbee7f9, 0x2705886402581560, 0x9d86293a0e8f4d9d, 0xd28e00f3014242cc,
0xb2694feddccc30b9, 0x00e95064fadb18c4, 0x1bb66cfe7d5a1a76, 0x5af5825662b90d28,
0xa435f18f9b04eafe, 0xba57a338179ba0fb, 0xbf53a57c39ccb396, 0x51350b4ac7878176,
0x1658b5e3ce3ff3aa, 0x0e2620eb9571f828, 0xd0247ff4ea81721e, 0xb217fd43d43ade7a,
0x81a418297a9770f7, 0xc931f60d899c9645, 0x35955f76469d9de9, 0xa4fa6954e442719b,
0x15868e0ea346fbc4, 0xedaa623f9416ea3a, 0x89d69bcc5d8c86fe, 0x910a0a447205294a,
0xe0cc9c02d7fe16eb, 0x4d15cff7bbb298ce, 0x910789de1e245e99, 0x8dbe3e2b0b599246,
0xd9d3ef179f407112, 0x00fc0adbbb242239, 0x62658ef8726e86ae, 0x9f31ca8438d94feb,
0xad9fe1d65577c134, 0x3a42bc2312a981ae, 0x7ff2ef52e962dd90, 0x6bfdbeec8df83b2e,
0x6517cfa5f68e25c9, 0xeb39453af4da2602, 0xb255fb790901e5e9, 0x73a7b6e85177d5c8,
0xabc55b5d03809c31, 0x0f68a7398dc0fcd5, 0x73d19b7b9bf2d7a3, 0x2f6e59f5b719e482,
0x66a420077fad9e19, 0x56b60a2c3a94fac7, 0xc3bdeabdf9c9f3ff, 0x90e25f8538b17780,
0x350f03199063f157, 0x9cd80475f40ad174, 0xd672b4a5db9ae180, 0x479a54a27e270ba2,
0x4e5ed7b0d949c187, 0x2dffcaadf4c206aa, 0xd2d28140e5e25609, 0x579b7220574b8ed1,
0x550248a7bff5b8fb, 0x43f6ec995c99e24e, 0x533c2f4932538704, 0x5c7922caec1d1e76,
0x12bba099ec3c43bb, 0x03458a7c6ef1e6a9, 0x253af30575c22b74, 0x9243107add038985,
0xf783272a391d95b7, 0x37f91cd4d7de8aad, 0x178f09ffca14dfa6, 0xfb96c440d1be4855,
0x62e0c68cde14e517, 0xaf0f8a736ffff955, 0x5b732c4e40b8c04a, 0x00a12931d33ad2a3,
0xd634097ae2d1790c, 0x0dfc9c68bbada50e, 0x964ba89c4a40befa, 0x6e49f32436e64072,
0xa201cd81e9d971fa, 0x4d651d3084d2cdc0, 0xbec2bc43f1f5318f, 0x78c85a322a2181a6,
0xfa6424e8d11779e5, 0x104f05160a0a09ac, 0xd587d4742feb1704, 0x295906d3991e6afb,
0x644264f277dbfbf9, 0x802bf36168e372f7, 0x873f3ef8d554b8d8, 0x4669e41156f2f028,
0xe68c242c30de8d0e, 0x008a7640e1a09a32, 0xa168338ae7826261, 0x5366e2ab3401f6a0,
0xaa0a9caf5730e9c2, 0x51cb178eb7bb4e31, 0xc9b7e7c607e7edf6, 0x8892553095f19ccd,
0xba8aa8bb50c0074c, 0x11fa65d939c324a3, 0x8ce7ef9838c10553, 0x21a4666c45bdb713,
0xf2c18a9fdaf9e677, 0xdfeb786d8a1f30ba, 0x62882f5dc4f89c6d, 0x4fb9879dde817281,
0xe9c022548ed40839, 0xac4b816632aad658, 0xbf4292f20b30cd36, 0x7fad5de659536a89,
0x9080ac033208c856, 0x610132584e52c2b8, 0x7d33bcd2ea98a946, 0xc61dab2b60a3847c,
0x7b3f8471a4702f78, 0xaf39027b4e941f0c, 0x294ea8a1f64609e4, 0xf22d574d235fc103,
0x04d1d4641e229e97, 0xc55dfc4ff7af42aa, 0x29c02f8d5e0bf64e, 0xc74b949ee63ba8bf,
0x452bac800c69cc45, 0x2ac84fce7db10dba, 0x4819edd55bcb11a8, 0x91eadd288c8c8af6,
0xadd8adf54c069546, 0x1a2374246693b29a, 0xc086d75c7c2129d7, 0xf5a5dec3e5b927a8,
0x3a272b0872c87832, 0x553a3eabb88c047b, 0x4d43a938995307e4, 0x17f08fbf1b9901d6,
0xe0ed1122df136f38, 0xf6eb9d131fc827cd, 0x5801bc12130c5333, 0x5ae4a3a272888093,
0x7c0a5698d339e33f, 0x93b580b83d5970ff, 0xd7796ec330f5a152, 0x1c87dd3b58e5ee30,
0x1b34c919b57c56d8, 0x2d8be02d1d162c22, 0xc2a02c0bbe458d40, 0x18f7c40a4a4916b3,
0x39d3ef756a2b2439, 0x9de0ba8bab42f446, 0x0656d078335cdbbf, 0xdb09b8f348a9898b,
0x149e13aed09c8d9c, 0xc83deb62cd385bc1, 0xa400f82b7ae309cb, 0xbbca0d37ebc98bbb,
0xc67bcb23609d299c, 0xe0e9becc7dac976f, 0x18294acfbff04b5c, 0xc6607e3885bdee95,
0xddbd5e621a3e9c30, 0x6d3020dc030f8439, 0xb8f6df6640ae288c, 0x7d5dded44821da6c,
0x30af10da52909708, 0x4c32b26320f00b36, 0xaaad1fe447c35e49, 0xf74ceb4df8f025f6,
0x59fd4626afeec408, 0x899c8838c220b8b5, 0xe549721a84e59a97, 0x2d31625fb2ac6a2d,
0x24236d521c45b698, 0x09878e523a2a1241, 0x80acd8496b2e9244, 0x9d0ea104b5493bbb,
0x8c01af30ff9d1f70, 0x3ead7916f9fd9ee1, 0x7108f122ea443986, 0x66992a41bb69479f,
0xf8242226c1debf73, 0x688d016d716a9ce4, 0x1f7e260bbd32f7a1, 0xe7fecda9ac6623c3,
0xfba572875a71926b, 0x8d20cded51073183, 0xa73c9a61f144f64c, 0xb6b02f83308c8107,
0x89b02761718d50fb, 0xf3a517e0a780667b, 0xb7c0d040ca616d53, 0x429c7ed34129cb00,
0x90677fb30dd259d8, 0xd2381b67fd85c15c, 0xbe1950ca5b37bf2d, 0x03092050ca240232,
0xec8f36851a434ee6, 0x082ee7de4087803c, 0xafe7c9eaa0f3cca7, 0x09996d59a1c29ca8,
0x0f5ff43cd40b22a7, 0x60aa3885ad3cde40, 0xe905e74ec3f7e69b, 0xc2b85130fc9e9fe2,
0xbe81a881840c9383, 0xf2bb1f37828cd9e1, 0x8f4e68228671ea9a, 0x7b3b646dadf43dc9,
0x6e3b59f12d0d8614, 0xaf795a84f64eee80, 0x43b51fed57b31aa3, 0xc033a7a7d10e0f46,
0xa84390860ac6ff97, 0xe6ff062b0e92bf21, 0xfb770ef9cf477968, 0x03f4a24b532e19fb,
0x9ebd43fb08421dab, 0x4aed55cea91de6c0, 0x7ff519ef50f3a92d, 0x67895e7271b8a4b7,
0x4d8d36fe5eca2399, 0x314e1838c9533761, 0x29e37ae72dffda3a, 0x5380ebfe11e38dbe,
0xf8b15213c9fea179, 0x76d1e37f22064cb6, 0x20b40168b07eec4d, 0x5dba597ff1c18802,
0x8c2939d83a159afb, 0x87636dc7be8b98a5, 0xa9a57365e589d981, 0x321b276179688c5c,
0xd1b157a294e7efcb, 0xbfa0ad06299cc236, 0x97e9254ef3bac482, 0xbe380ac48382c6a6,
0xde73d9f9b0afab81, 0x49cc7ef3d4455900, 0x97f37c847d7bc885, 0xae6b8dee56ffb77f,
0x188c4b783e441a1b, 0xa128026853fcdf5d, 0xa93683f4d1088946, 0xc2a6b3419ac829f9,
0x269d19f36dac94c0, 0xcba5a9d6de4a78bd, 0xbeaa334ecc4c6744, 0x8a87fb040e962fba,
0x9f8e1cec3925b05e, 0x678a01f0c853070c, 0x56585be043e0031f, 0x1032eced5d6d0c33,
0x3ee0b9b527203737, 0xb0949485a5c4d58f, 0xdebec6280067d9b5, 0xc397ed6ab32a35de,
0x5e2053ed19de791d, 0x4b2c2902a0837974, 0x3f71296bdc448cdc, 0xf9ec12c2920c5b2b,
0xee57ef8d8c176670, 0x2e7d145cae255636, 0xaf68510ad35089de, 0x70497e0fef82ad04,
0x1cc49affb7d7a055, 0x0c62e60067470136, 0x26ffcae5dec1d1d1, 0xcc02d18868659802,
0xfb0d7b3b81fff622, 0x693f807ac5ddfe08, 0x87289ef2085fe6be, 0xc777d7497b8ed119,
0x29db3e2c79125e22, 0x1438c5a362f456f5, 0x3348269099bacaa5, 0xc5c0a47d9e8621e9,
0x78783f5aa97bef28, 0x5886cdb12b7997c7, 0xaa10250093f522dc, 0x35fcb986ecd664b5,
0xa0783bbefc5e30fa, 0x30a7036ada65970b, 0x619d98e1f209d3d3, 0x19196ec9a309c998,
0xb1cb9fada72545b2, 0x8ebed581df93f1a0, 0x1f9f205dde052709, 0x6d813e36a557fbbe,
0x2ce7f77f13b16a26, 0x97175f9c8ea82cb6, 0x33c22b0be6a9a764, 0xd7e10fe43ae9d5ed,
0x886650afe20d2a71, 0xc9998b9c2ca3d20c, 0x3ee859962d441789, 0x45dee757099f62ea,
0x3a9c5abb7c70e839, 0xaf61d66f73c779a9, 0xe95918543cd8928a, 0xe1f14629cfaae394,
0x8003a2bc1709865c, 0x95a44eaf827a3c95, 0xcec45e7367552c27, 0x6536c677f387bb81,
0x3934ee1ccf43b5d0, 0xe62ce6d24a7facb6, 0x3ed76bb63d6c5028, 0x3d90a75f01329c8e,
0x379acd4f05e08e41, 0x6404493be6dde4a3, 0x8b505261042bb981, 0x2dcb10df77d925ef,
0x977b777b6616b977, 0x8bd0353965bc3717, 0xcb5441e5eede46d7, 0xe14ca2ac16c7b24c,
0xa3cb63e1b9e863de, 0x75c24abd9d86fd0b, 0xe4475d04bbc640f8, 0x1531d5be930a03cf,
0x19f80142dacf7ca1, 0x89530fd6a376ec8a, 0x0d0ac7876a8da7e1, 0x82de740fc23c8d80,
0x076e9087ee963510, 0xed077111085a17e2, 0x8c12f20185eb9302, 0x6480ae00192a67ac,
0xe9058ddf59416aab, 0x7a1435ba1cbeac27, 0xc7040127b89f1a6a, 0x050c478fae2275e2,
0x042ecc708efcbf6e, 0x4114a86ac49970de, 0x7cc98420ef3a3f46, 0x0a364094bdef0bae,
0xbe39e9f934bdc3d0, 0x51a5475be1b9ad66, 0x4adea2bdc2c12df4, 0xac7545b46a41d889,
0xed80b4efa3f970aa, 0xcb1ff55f78571a1b, 0x6e25150ff62ee58e, 0x3cb24e8fb12d0cc7,
0x44fd1931f9168ee0, 0x90fd97e1b3a01eab, 0xfd9ba3b64f98e021, 0x45ac3e8a9eae5c82,
0x6594579c0b5802b3, 0x4baba9361160242e, 0x3e4fb2fece46d763, 0x2b3516b910bd5d56,
0x2c21b552f527f7c4, 0x75ad9bdefe3d3186, 0x18553dbd04e2ee5f, 0xd2a433b4bb8758ac,
0xc9b11071ad8cc349, 0x9cd05a4f242bf87e, 0xbcd4f85f7b913725, 0xb942595058223020,
0xc2f65aad36d90671, 0x4c2e91e591212b9a, 0xed272db0a928de8a, 0xf5b1574c2c390a82,
0xd324dd969b8460a3, 0xe011aab84a2109db, 0x4d43d4eeade83a51, 0x7a8ce3b89b65073b,
0x51405f05f32621b1, 0x6358fcf9c3fb6db2, 0xf6d1bcde2858e590, 0x90456d9ca1526de0,
0x9303fbd188289a39, 0x0a66991693647c13, 0xeb7b48858069e596, 0x62efb1b808534d85,
0xc169ac4847c42b92, 0xb050218f516eced0, 0xef472d628d6a0793, 0xb793c0f0a8961da4,
0x57e306ec5d2fa6b0, 0xa4b2a1c3b295ea93, 0x3842197c20001fdf, 0x475c447df1af8e1b,
0x494d57546f660b89, 0x514111d3cc3af0b2, 0x090dc3de8f4fec76, 0xa211c2353cf45d07,
0x3c6d9ddd2d5ca403, 0xe481318127965ea1, 0x66fc7acee1a9e075, 0xc220ccc167962426,
0xc388e5e7ecdcdeee, 0xc498961cb3c1f7e2, 0xf2df37b0a36fad68, 0x16c7978a71f07ca7,
0xb767ab7d67aa58a3, 0x34c5c715a89fe8b7, 0xd9fdc4bf477df042, 0xd85bb2965b91b1ec,
0x02bb84af3de9ae73, 0x2762f77af3ecacd3, 0x4cce06b6c135c6a0, 0x3c12ac70269a97c5,
0xd34264ddf9f481af, 0xda2c20db23a2a951, 0xfb354a55dc9fe1f9, 0xae56613479404fa1,
0x30a1e736e1e0979b, 0x8a43525dce23083d, 0x1d3d31636fe39681, 0x69b7806c71434192,
0x5fc3d70cdf811365, 0x2c21baabdd1f3ac2, 0xa4df2734eb4fd3c2, 0x05fae8f60869b250,
0x24f02cc89eab2850, 0x29def04380f91cda, 0xb52061a1129631a8, 0x19e06c408d77a342,
0x098020cc1462c046, 0x63ac7fc061bcfe7a, 0xe6e7c64c04929ade, 0x1607be500aca5ac1,
0x81628b5ba4f20066, 0xc4c5652c6838c436, 0x1050ff4ba2a8d111, 0xdd27940195e099c9,
0xcb99872e705308fa, 0x50c478b3d94aaccf, 0x924318b014c1011d, 0x25d73860d2404cb3,
0xdb45831ff6321071, 0xc2f9f19a14af17da, 0x101646ac60be0e81, 0x6dba342ecf5e92e1,
0x3c99bb088c2e52bd, 0x68ae5303d5f7219c, 0xf90982fd7141decd, 0x566bba4d02652bf7,
0x24866a4d9dbc9da9, 0x28f37d5ca5341e34, 0x6618cc4d450e2dfa, 0x5bbf2809edf350f1,
0x80fb47d9e300892e, 0x26fc85aa9cfaa0b0, 0x806ddd37f3cc5468, 0xae490934949759bc,
0x29a0e655e80b75f5, 0x7779044e1412074f, 0xc35cd2d7e7698fe0, 0x940aef680f79f484,
0xe64c9f73c67d8fe7, 0xa6a96d63337ec9d4, 0x1f7dd49668eed91b, 0x907899af30155709,
0x5bf3c5f6643ae96c, 0xd8cbec88672c85cc, 0x2d3f0a08516c4358, 0xfc4b88aacfbbbbd2,
0xe271f23ad1d18136, 0x8ca732df1ebe539c, 0xb88d898f4ac26b5b, 0xb2e297ba042c14f5,
0xeb1bf7ee1f77d689, 0x67d86b1cb041690f, 0xe70cc5433f0f5ac1, 0xe79f9f78543cf7dc,
0x74b777ed83e3a89b, 0xe5269dd49a700ece, 0xae1a3584f55efb5c, 0x15e255dcdd058c2c,
0x6a3833d5b6a91cf7, 0x8a592239a6847a1e, 0xa8fdb4b5f994874f, 0x7db74c4ec3ae70a5,
0x82da1665ad0dbbcb, 0x358550daf164d1b2, 0xfad790370f6ca348, 0x0b9222d05d113608,
0xc62b4011b9fa9cc0, 0xfc5a89149e7d7980, 0x59a250e70d073f20, 0xc7534a359d0e495a,
0xf9235e314514aca7, 0x3df309ba4adece5f, 0x94849afecf3d7650, 0x5b59c52a60f76f9a,
0xe6a2cc14e1b59656, 0xfe3178953dff61ad, 0x16c546690297cde7, 0x6f703ea28739349f,
0xae0a30d7dd13b2a1, 0x249b762670ac916e, 0xffba778d131c907f, 0x292774be907365d2,
0xfbf2c785fd531803, 0xdb7144d62812ddf1, 0x086570ac2b4a81d5, 0xa41b0a36f452e8c1,
0x8fa809ec08b7bb05, 0xcae7856976218344, 0x7f356eeacdab41e4, 0xef2c422159ff9be2,
0xfdc0207c40e5f5c1, 0x0551341564dd7bca, 0xbe53194532aeece8, 0x7d5bbd145520fe79,
0xae5bfb107dde2247, 0xed61a411d84a58b8, 0x19b8b8819c1b8410, 0x649a81bc82cf90df,
0x5d452c0891c8bd39, 0x86d74b7f033393c7, 0xe38838b0f87f2bbe, 0x90a3edcd1e94e4b7,
0x299a990459528c51, 0x90426eb368fdb8af, 0xd9edc9c54888d97f, 0x6eb87744d1a30bca,
0x9eba72a03688f56b, 0xc7b96fb38387a7e3, 0x84cfab0a6ed5252d, 0x8cdfcaf43ca0ab81,
0x797034ccc9571108, 0x21c1a13fd92ca367, 0xaca7ff593902e8f6, 0x15fbfcd0036bacac,
0x09adfc1ca3c546cf, 0x758179fea0eaa984, 0x585d1f20d4dbf915, 0x6b4f211231223287,
0xfb32baef29d25fe2, 0x7816ef6fa155cd5d, 0x2a3632c1c8815ec1, 0x76a288f890cbddff,
0xc04f600325c8ef00, 0xe3c2f0db15b92579, 0x0e07bcb64dd36f29, 0x6903e74dbb385788,
0xd87549c2b040140d, 0xd1cbe4608d3c2c56, 0xe93bf851e1e5e05c, 0xe577354f35b83bf2,
0x26a8c5dac3779fac, 0xe280558f97f20dc8, 0xdf48ca8728a8e146, 0x1e7cd908656c78e5,
0xf9d9f43ac88cfc86, 0x20eb69e2e2f5a543, 0x96bdb9587173e733, 0x7dc88c3b886868fd,
0x255a9ede9c36a293, 0x25e5b0b3ec562058, 0xac2ab486a78a6ebd, 0x7779ec182fb67970,
0xc22d882dbf9704f8, 0x7f63347bd82bcc95, 0xe2f482c4107004b0, 0x0a651935a19023a1,
0x82120a197e509f50, 0xd87c60a1583cd604, 0x7445ed6734397276, 0xf890c1bce6517924,
0x646cb0d51ec15240, 0x06b53d035f09dcd6, 0x51292e6e78851979, 0x4cc297e1e946e7a2,
0x0b64d261f89ce3ec, 0x6b25a56ac5775ef1, 0xf5e23c6fd86b2bf5, 0xb96323b27b2d24fb,
0xf42ccb8fb018b1ab, 0x41205bf62eda2be7, 0xf273e3925ea04936, 0x312bd45c54dd095f,
0x539ae4f37d144f8e, 0xe055c2d890f471bf, 0x322bc70cc8b64969, 0xb5d27aea96e3e954,
0xfdad41b27cfe635e, 0x66dd8823e2acb883, 0xdf08d026935411b5, 0xe06099b3a6317773,
0xee3d5f781463b615, 0xc03ca7478a642967, 0x333be962ca1192e2, 0x159775c82fc18c4a,
0x5bd1422a6e3efa60, 0xcc661898e81b5a97, 0x2d1c4f5a54c8561c, 0xb1d5b773bf94b8bc,
0x371daea2265021f4, 0x5df627ded4aef5a3, 0xae1d7dfff0fc1cdb, 0x80ccb10a2b5bc7dd,
0xb9a0ad80a896c618, 0x75461c073d7442cf, 0x60c0c9b5aa4f961a, 0xce4db4d4458b692a,
0xa824fa89bf5e8d38, 0xdbd0099a53bf3d64, 0xbebb55974efd30ea, 0x61c37fbfad7e34f0,
0x11d8f3ce9face7e3, 0x8851d3ebd06495d2, 0x7a19e890ebd35619, 0x212971797d8b2904,
0x1913dd39a3dfb428, 0xfcaf24cd21d80a01, 0x2bbb281cff180403, 0x34854f411b2cc406,
0xb8eec1c4f20627c0, 0xdbc4ae345a789456, 0x4050e1c23e246ba9, 0x76cf678828aff38d,
0xf03f1b4d7205c6d9, 0xc041fcbe3976913d, 0xc44a7ee9375aa69b, 0xebd559f5efa3b359,
0x48a83b4b28aaf168, 0x05b2dd130713a8aa, 0x9b904f9edc334db6, 0x595503bbb221ed7c,
0xe3ebe979b4a3e3ad, 0x11eb068868a96eaa, 0xe4de461039d622bd, 0xf21d78d78b43e655,
0x3b928db0ba54d339, 0x328239b1d58c9f66, 0x6e99f0017ada5132, 0x62fcb611dcb4968a,
0x3b5cc401e04f4a80, 0xa8cbe09b34c8fc1f, 0xeae399dcfb233afd, 0x8ccbe9665c923b2c,
0xca62b27c66c94b8b, 0xff90cb4e292805ac, 0x8071d31743e07c45, 0xecd44b1a1996e043,
0xc5fc723c9359de93, 0x97b308f6914e1226, 0x5798117e8ce48975, 0x538ab5cde8cc10a2,
0xabe5e9bed4f70df6, 0x5cb6f56b7ce580cc, 0x1a61b699b431c9dd, 0x6d07ef9499722502,
0xfb619effa077ea80, 0x6a65f6f66692be20, 0x84ca63329c9b5c7d, 0xcf60e080f238b6f2,
0x182020cfb6f0af64, 0x9ce13cf3848df56a, 0x4b19d42fc8e4414c, 0x7852cd707c29b15d,
0x1545a14427cdfb19, 0x1769086cbdc305a8, 0xa9d084dc8d0eafa3, 0xfc758766798194ad,
0xde1924aa1b98ce20, 0x3051813e080d36c5, 0x3a8378380b5130f0, 0x060e436c36853dd7,
0x84effbfbe6f259a0, 0x4029fec9b938d703, 0xaafefc6f4ed00879, 0x26e61ed228c8f334,
0x46bb30908e6ec690, 0x9036a30ff855f37a, 0x246fa0e830780a40, 0x1e3148c990619e17,
0x3275517374f6c851, 0x92ecddb667d04f94, 0x9f02f5e8d0696ea4, 0x14a7e9f9e22cc1bb,
0xdac481c8e06d2063, 0x4088a3a7fb503e3c, 0xd2e25e47d1317d7b, 0xf480e52275a4377b,
0xa88bb91d75282037, 0x3c922a4034cbe2b0, 0xa649480f027ceb23, 0xb00fc66c74f60b2e,
0xda85fed905f600f4, 0x05a116e1e532fe5f, 0x4de9e57c6ff20aa6, 0x94f3caeee5ef3481,
0x958615453ff4475e, 0xebd64a2a3f7f3459, 0x197acd18f8804824, 0x363775a0cdc0aba2,
0x98afcbacd14fd0fd, 0xf7e5f9d5ab3e7c39, 0xcb41759ba3e2b6c4, 0xb12823b6b9d507b6,
0x85177cae733b777f, 0x1fe98a584f2537db, 0x486f76cc9698066a, 0x2658ca8e0d8e9603,
0xecdee992ddc4139c, 0x9a28d18df65ee491, 0x6e7d6b4e2e768616, 0x4eda52d2c12c5a7f,
0xf26aeaf70ba9dd3a, 0xb59d2deb012adbf5, 0xa27e085b3dda76ba, 0x7b16a2adeb548389,
0x0ed24c5a1749ddb1, 0xec9318bf4cfb62be, 0x8d4ea42fb97830af, 0x650b46372b02b877,
0x299289d153d02e20, 0xa7e41325e9d77fe0, 0x361760c3063fbf3d, 0x96a9ea423fe68c49,
0xe8fd44d7f8b91e82, 0x111c1d531a407126, 0x0dcb976f928d381d, 0x087b953775c1452a,
0xc0a73410dfc11d92, 0xd54b69d639f333e3, 0x1a8c1420c76a3a98, 0x91f73accb9fb7353,
0x7c636fb01d60dec4, 0xb36eac90ebc1d673, 0xeb562affee9e58a3, 0x209dac984fb36e69,
0x91e091e7b1339596, 0x75de4bc6a7b4bfe5, 0x2235d683b14a386b, 0x7335e0785de4d314,
0xe631c2259d991c64, 0xfb67e7e3dbafc6d9, 0x4b61d8aa333baff3, 0x303d00b884c04c87,
0x943b02001b6c4a13, 0xe543ec9ff6aa7528, 0x5da2c557318d5fb8, 0x1e05e41a375442f6,
0x5dce03dc6b002344, 0x11359cd5f96fa74a, 0xb850fa85d4b85477, 0xba7ee8d4143bd4c4,
0xce2efa66c53faf83, 0x2840147f72ae2116, 0x3dec9bf9f41befe7, 0x8bddc26e45ff09e8,
0x03ab73b8d0e62f7f, 0xb8aa40498c79b1d2, 0xd8c79eefd6f5c27a, 0x8ab7de447dc664f5,
0x2a420416dc313ab1, 0x3e3deafabc128491, 0x8e185bfdc5c2a8cc, 0xf282cc033f7bcdd4,
0xcccf89082c90385a, 0x1d7fdc1228868c60, 0x89dae00609e418c8, 0x077c835aa333f794,
0xcf9fe52e125bdc37, 0x14d9d89f4e593756, 0x31e63d89e08bce08, 0x7db9365210c6c11d,
0xf470c372a95870d9, 0xd8dd8bad10dfd890, 0x28dee96f12014edd, 0x5fedac75bc0a2568,
0x2e484f322f8f7a29, 0xe96ba47d5150a994, 0xfae702516c54b6cc, 0xcd00ffb4968b69ef,
0xf2801387d1cbc1c3, 0x3e926b195ea9a74a, 0x87531a019cb4216c, 0xa3f489964a8b33df,
0x7a45efad32c79c95, 0x5a32766fcebd320a, 0xcc5dde2f89a4ca99, 0x6522963dcdcfbbed,
0xfb152be3a9398734, 0xa63ba08b16021d79, 0xef90a96e970b18d0, 0xbfa1d710ac0427b8,
0xb61ae59554d63093, 0x163f87d0c0c4f318, 0xbc312daa01cda2c6, 0xc9b3a78684f4ad83,
0xf3a82e342be4b5ae, 0x48ff0e23fa6038b2, 0x8a7b33da7cef8a32, 0xbaace901a1775ccb,
0x2c854a50b646fc41, 0x39eb8099c508eda7, 0xf7317e5f5414eada, 0xb193ed2038df83f3,
0x8efe0432051af048, 0x02c101d8dd9540d1, 0xbbf2c3831874384e, 0x47837934d4de9253,
0xcd6790c9a868ddd4, 0x11d99b4198b5321e, 0xe6e2e4e3f98cffae, 0x057fc17193714be8,
0xd96b273470272d0b, 0x37142ed36c337c01, 0x804887cfc5dd884a, 0xe5a51a1c1370aeba,
0x5bec1b27c5c0616f, 0xf117746732055fd7, 0x09c5ea79121d2521, 0x85c849aedb30d9fa,
0xdf3224c63b119a0c, 0xd31f4384819538e2, 0x35031dda5ea8686c, 0xcfadb56e708aa990,
0x63f539864afde9ac, 0x495eae5b295cc38b, 0x81fe22b1b5a14160, 0x32ed23e730eb5635,
0x5f83f9df55d94400, 0xff1d9c23d996eac9, 0x556b67ddd12f5523, 0x0319f96408d54e19,
0x0597dda784687bb0, 0x39a9ed179ab1db9d, 0x93276bc94cb2bcf6, 0x4bb054fab8f86e44,
0xea19f58ccdcedc20, 0x5a106854d6246fe9, 0x358c5b2a4080919c, 0x127c880b950a20fb,
0x80950cce7df3b6f0, 0x87ebc8e8b809697e, 0xe7ce42f2e5f2633a, 0x859ea7b626aea862,
0xd532f0945e548d83, 0x10ce7253bc316f1b, 0x4253393feb8d2020, 0xb99f9b3257b4765d,
0xc25c35242d0570b0, 0x5151b8823483c555, 0xf20d826fe909d993, 0x0ada96a7cab9b3c4,
0x65fe6001a9abc381, 0xc5c304bf9dc5e12f, 0xf80a47363c7824b6, 0x2e71cf0628ecbdd5,
0x3ff2e199c6cfdea2, 0xb3fe7a0f24863347, 0xa961cee5ed454914, 0x13478e30f1fe6e20,
0xf43f81e2532e4e87, 0xa85a84e623c54fbc, 0x28d1915b4b3f8553, 0xe5bbbe79c60c3bf4,
0xb735ab5eca2c405e, 0xf1a07668b55322bb, 0x181efc4e5d494eb7, 0x5ceec4adf84d94b9,
0xd43e20a231d9947a, 0x6a30c25560a12054, 0x9ab008d416a27bff, 0xe778308cd4d6fd4f,
0x3c513f87f5b2eb68, 0xd1e963a48023d363, 0x0edfb89c7b2bb079, 0x9a99d756dbf20093,
0x9377dd24c802cdbb, 0x1a74d5e46be66d4c, 0xdb606bbeee69097a, 0xb90eb9b495a16636,
0x4706c9de80b82328, 0x2bc86917c10eb335, 0xd0518f9f6328312a, 0xbe6209a4e13d1aaa,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x5eeaf2037a02b1d0, 0xca8b65027ed387f3, 0x9e9f8e89df253623, 0x7550aad5e7da19e2,
0x7a5e7fe30356eade, 0x7a7b5410beaa3bfa, 0xbda578ce466036bd, 0xc645118444bd9dbf,
0xfaec353745731e46, 0x920797e8e13c2f56, 0xdc12620198de6780, 0x28589cd499b47598,
0xdc0edca5d099349a, 0x372cfc338995027f, 0x557688de1f2afaa6, 0x7adb72342f6d425d,
0x68b6f0d4ecef6241, 0x95be1cf0988f9ab5, 0x569f8ea377c3b0b0, 0x95fa205bb7e82086,
0xc40073c1792322cf, 0x19e3a17ba29aa431, 0x9679bdddaf9221fa, 0xe481eee23f090904,
0xe29d414645196b96, 0xfc57cacfcb141119, 0x072b29a8858c5d5e, 0x44f5a90ce661e33b,
0xeecd5ba3fa43e0d4, 0x757f22c356aa98da, 0x8133c84f4b35fab0, 0x7e18aabb85c39434,
0x26909ad6d950e696, 0x52b2677e6702196e, 0x3c53a0bfb1bf56be, 0x6ad6c7c6ae6ddd1d,
0xac2fe72056454dfe, 0x4e23f8dc3bc266bf, 0x3162116aff274ce3, 0x7bcf818b35bc9916,
0x797e3b24c837621e, 0x97453b1ab6196d40, 0x13db43ffc43102c0, 0xf9aaae5c7b1b3c5d,
0x8b3122c3f92895b7, 0x7590f81b59616f24, 0x3215724f208ea20f, 0x176f6261aca643c0,
0xaf06c56820514fb5, 0x00409dee1120c578, 0x8cc4ede5be28df52, 0xe8f0a2934c8e2ae3,
0xba6f5805252c2ff6, 0xd427de194020c16c, 0xdaf0426c0896c110, 0xba17d2ca1da4ced2,
0x9f0038ba655d558c, 0x1c22ac1fbd14b10d, 0xa0ec9ab3cb4042a1, 0x0834d15fba605666,
0x60d66b935c236162, 0x5553f834a5066746, 0x0710de012440f6b2, 0x9552de2f03c56458,
0x2b13e44b50408ab5, 0x078289dedbaa553d, 0xad5a1ba94959b4e2, 0x7d1a331121907810,
0x24e8f5924bf92d20, 0x6bf34310b54366a4, 0xe240259191ac89ec, 0x25b06d09ab2c0008,
0x4c48783281dc79c1, 0x535d8d13dcaadbf7, 0x339e384d00481308, 0x7f0a4164efc48b71,
0xb3625bbb7bbf5e98, 0x79cadab0bb8f3420, 0x4d56d9914266bf81, 0xf339cdfb17321364,
0x1b2564bf15e8ff17, 0x762a35e28d4cdbb9, 0x33af2164557efc3f, 0x3de246ee45f1e19d,
0x502ae5aeb44d69c6, 0x0a8178b4ba1fa347, 0xdb323c7d9133d7c9, 0x2daa04d22f4c4230,
0xf7eabb257a210830, 0xce8ac7d198b7a0e3, 0xa70c384212a2eb03, 0x963be368b2ffe062,
0xcad15aa9581185fb, 0x7a426f5dc237b6bd, 0x6a32307d47b1d1a4, 0x5ddfc740b91aa3ee,
0xc24cc4614bb6c144, 0xe689e25acf622136, 0x879430dc18ce605b, 0xbbe985d41d1a6ac3,
0xbb0e7b75b16ce3a7, 0xf92c6480df3570b5, 0x0674538ec7484826, 0xfe9ea1b682e05964,
0x4140f0243c789eb7, 0xe123847e2f8d422d, 0x258f4efe9c478080, 0x0003ae9ffb15d4c8,
0xa3b406bd4852db65, 0x71f8a4f75ad6aa58, 0xf2a57ee71a030125, 0x3b64bd544691199a,
0x6cd971ae51ed4129, 0x51f0d3f1255745aa, 0x59d6ecaf87a7da4f, 0xa09ade226345e4ec,
0xfb2d2a560f1a06e7, 0x4f5c1faa03480ca8, 0x15c32f7070bcbdf6, 0xb383058b764c2187,
0xaf352e7faa8b5d6d, 0x65a09effa85a4115, 0x2f1bbbb1bba73800, 0xfa563d192e30c20d,
0xd170f48831cc2211, 0x5f6bd812acfe0007, 0xba0d9d835b742cdf, 0x43c56da24a0fff6e,
0xb081d3a926f58105, 0xfbcad2f8430fb0b9, 0x65a546fe76c6a4f2, 0x6c07c17d7e78e073,
0x560be6a40c1f83b0, 0x58c10b9175b135c6, 0x65433e1779e0aaee, 0x8da161d1b4d3bba8,
0x7a15b22053a89987, 0x6c55d134ed84f56e, 0xec779673da9f96e1, 0x69984895f43c3f0c,
0x49212d973877961e, 0x4a811a08d7996454, 0xc2dca0b5530ded24, 0xefd3fa2e0392f7d1,
0xd8c41e7297fa859b, 0x3cffb9f6350cf9fb, 0x0678ccddbc07307f, 0x1db9d71012f2b44b,
0xc4b2c1f201a48261, 0x09e51e2ee30a9f4d, 0xfe2aaa9243ac44af, 0xa6e23d2d62af1d8f,
0x2caf09c834e851b6, 0x38f62278a6db7b5f, 0xca34b721933944db, 0x485ed670bd08ea56,
0x47d3a4c1a20cf846, 0x39f6f42cea1acbc3, 0x5009a708021eead4, 0x23f1bd4ef2074a30,
0x238a5922e2ab4096, 0x617c1cf217dd3787, 0xb2ed593ce15d0215, 0x1f71dcf4427c2b6e,
0xda8f2196adc48d60, 0x981ab4395f2cb008, 0x9218fb4f7cda142e, 0x4ced703dbc47a348,
0x18fa42f9a2fe02ea, 0x78ab5d2f0fe628aa, 0xfe69c0d26584bd68, 0x78cddbc7ab498d1b,
0xe0cee9541ce8cf8c, 0x2c2e11acc694907f, 0x304fa137fcffaef1, 0xe2f5860f61495c69,
0x47542da2506cabd8, 0x5b55fcf4aec89ae3, 0x301d4d5b2ce85307, 0xd0b5b592aaedb94e,
0xd61be5de0855eef0, 0x773a2a1c19e47201, 0x63a027995bbd4e52, 0xab1d53197fc600a6,
0xff73901afd1e99d6, 0x6bb15bf8fee6fe46, 0x070507d48debfa7f, 0xc94a6a93ecfb0eab,
0xbf9ae717f1c62c44, 0x2dfdab9fe00e0939, 0x12da36eb398d3b92, 0xe675b8973d173c74,
0x753782935180cf81, 0x63c5533b29ace698, 0x0d64784bbdc7398d, 0x72055a5d7751c47c,
0xc86e3bb5c1230050, 0x630c90ba81a1efea, 0xdbe90d4cdbb4da14, 0x15a858a897ac223b,
0x656cfeab4ae249fa, 0xb6334ac62701482e, 0xbab359b1e7f2e24a, 0x3ba0f8eaf09b979f,
0x593f7f6aba94d1bb, 0x9d9841de535ac2eb, 0xafc7433103b59734, 0xd3fa5b214d7d27e6,
0x8149335f9edddb3a, 0xbb9d74d3d8c04ec6, 0xb75c1599de8fe31f, 0xb0b479fbd8c6d867,
0x46b612579f9c1288, 0x128b9cc4df952cbe, 0x0276f860b064f6ed, 0xb93eaf73646c1969,
0x1c5b36b967feef64, 0xe8640d0337a7278a, 0xe203499e3ff3916d, 0x6d40f58b24d13e53,
0xc5c8f6a15a5a2221, 0x673e94a5ec1f92ef, 0x0534233485daca98, 0x5a4618ecb0388401,
0xb896d4eb55fc4f6d, 0x9a4259c4305e5301, 0xc62ff22b0dcf81cf, 0xc8700ea118916e59,
0xc1854d1c8f398fcf, 0xb97d8002b04ef0e6, 0x8dc0ecd8cef3900a, 0xb89a80b62c767686,
0xeacf89e936bc0d88, 0xb9fea68f59311e3d, 0x0ff7e68100959d39, 0x8c54a35bcf08991e,
0xc7bddd753432dc59, 0x8a83041a8d10d09b, 0xf6160a8df49b1252, 0x35e2ae2c771a4c73,
0x503696bae45b3d5e, 0x3ed00f4e8e515816, 0x2d04ce2677dd24ec, 0x108563110be70e9a,
0xcaebaa9e369e863f, 0x9c041ca68ec96783, 0xcb956b59347caa62, 0x2e1896c384860e62,
0x0130539e4843c098, 0x1ef2ffab71a20354, 0xac9830a2fbda86c0, 0xcb240cdf8a328a96,
0x2f927d0ca60abecb, 0x7cec871a67bc9f10, 0xeab713c713f7a8fd, 0xde33a967d098c905,
0x749f7afa4897a7f5, 0xd92199b73c9168fe, 0x3f340624ab1130b3, 0x9d9bec562661029c,
0x09addb2b0e40d473, 0xe96ca6c1d6df9a5f, 0x38ecd32697ae3467, 0xff8b393ca4344ab7,
0xe179a1bec318c4e4, 0x2005a1c760173587, 0x2fc0336d272fb7c6, 0x77d3f56e6fc0256e,
0xacbde97601516d6b, 0xd930df30d8157720, 0x847912d4339e1073, 0x71d98465cfd131b1,
0xf1278e964592524c, 0x81151cf8494fab52, 0x08fc4934aea825ca, 0x8892fd7a1fa42145,
0xde2021e4d1d34d6c, 0x8e5df2b060f24541, 0xb5dd3a57713cfea4, 0x9881cbe4ec5d917a,
0xf875061330ec138b, 0xf06e9b54338cd895, 0xcd2f3af1e1d0405c, 0x460e8ba5ec08fcfc,
0x6958650d1b47db37, 0xf12460c55f717d5d, 0x2f64554145913b2a, 0x42cac96761c462c9,
0xb150044af826654e, 0x4f61079e648f2798, 0xbd99f7180e3904f0, 0xd487efee8128ae0f,
0x55af8274b87c3e13, 0x9163f1911c0a2259, 0xf627433179f51294, 0x2723cf8cf92cca7d,
0x8df82931c4e77141, 0xef5a3bfca47592e1, 0xc9fb7e981788c2d8, 0x00c4b918efffd1ca,
0xff1345ca01105bcb, 0xc5eb5c20d4db2972, 0xc9370d522f9b3a30, 0x932e373242223e42,
0x431e0e659407a72b, 0x9fd4fcbe4663efb7, 0x3fb6726765386bd2, 0xf5951fa2c40745e0,
0xe37624563cb3291a, 0x76c474b48bdce9a4, 0x1f2c0512fdbf88ee, 0xf760cbf5d1a8bca0,
0x9252a523a3e73ecc, 0x6b57ecd73237c38d, 0x57d0d29edb486266, 0x2a85ff8ca947c6f5,
0x5924111a2fb82472, 0x2dd84fe753f3ce1c, 0x5ce6c8f38528f8bd, 0x51691f539ef93684,
0x52ea41bbc448f6b7, 0xbcad1a41936e4ccd, 0x937ce3e7303e7457, 0x4df46522c103a4ef,
0x3af22d230d7b7808, 0x4697f51599bf5949, 0x6afe0a3cdde2f921, 0x3c722e95a065c111,
0xe0df8d2f0926fa29, 0xa722e4cc95eb0ca8, 0xfdf83e8b818f2685, 0xa3551b738ca62fc8,
0x5014384215e13d3a, 0xbae0d31c81590629, 0x9b18f0dfe00205ef, 0x57eb007db2eb7373,
0x5965f3b9a42ef1dd, 0x84136aa46e0e611b, 0xe0a6dd667973a800, 0x6fe41b6bf9e25322,
0x2009795606effa51, 0x6d2caf8507179e8d, 0xcb414f6cfddac304, 0xf67d253a82ff0375,
0x3881799527dbd22b, 0xbfd142e475860331, 0x56acd86cd8f44d8c, 0x011a281d13bab642,
0x0eabcaf83dbfa762, 0x0d0987b6fadb141f, 0xc953a428cddcc071, 0x5398d6f198d5ffb4,
0x26fa9eeff6b0e4d7, 0x9f7e41f0ebd93c8c, 0xf92895405ab02ca2, 0x33d1d0b2fa3cde2e,
0x5b3c03e34e5b2352, 0x98135c3b03565402, 0xae876b9449f406dd, 0x4040c2909d76a105,
0xf18a6fb24a96244b, 0x3ea6ae1140dfb301, 0x08288bf34d5b245f, 0xe892396a798e8366,
0xae6f716d86dab1e6, 0x5868e546abcdf685, 0xaa5eb304f33c0b2a, 0x6fed8c1a5f607ba0,
0x8fa5566a2e069c1b, 0xf5b3aedf5bdf7c12, 0xb0113b59f7da0a6f, 0x315ceab94456f440,
0x2a95361b9f5c9199, 0xb7ce76d80c864789, 0xdda2c351047e3340, 0x859b202a079eb325,
0x273ce471be14dd53, 0x161264d8c6cefbab, 0x3c626c2b8d94c369, 0x95a83a7e5472262f,
0x06c228cdc0da8d00, 0x1b0d4cf76ac8bd90, 0x2c62752c6b6717a2, 0xb2b03bbb65a7dea5,
0xbfaa38b6cafc41cc, 0x5f6587decc32793f, 0x8fef79bae47b416d, 0x96188e811ef1749f,
0x5320405be0faacad, 0x6f784fa69a541271, 0xa7c87f5708ce3ddf, 0x5979054c88b3819e,
0x0f85a85207e3aa1a, 0x3e8c53f1973cfedb, 0xa196151f63f91ba3, 0x73ae0d64ca0321c3,
0xd2dd3ec110b346c9, 0xcefc1e4e3407dea9, 0xef15ee0006964ec1, 0x0678e0c795316cf0,
0x8cd6375c1df3f4f7, 0x9bc3feefaefd3ffa, 0xf749e20576152996, 0x3dbdace8e3688035,
0x2cd02682affee2ad, 0x9eb5943b35f96102, 0x1078c31f7aecbb24, 0x65b137ded1f65c82,
0x619e4db6a05b0c96, 0x86cda0064e089f8e, 0xbf5940b931d3e80d, 0x3cdbfdc029d5d42a,
0x52dacf78045b9dce, 0xd8f67053df9aaff4, 0xac90c52e7c5f8645, 0x3e7fc7023a167496,
0x88c6b2b6c75d2bb6, 0x9eb91f785a720630, 0x0f33f24724943e7b, 0x5bb49392abefaf6d,
0x111930d44a0ff4d6, 0xf3dff37d4355b43f, 0x7b2f29102c9570ed, 0xc52c8ab0f1c61779,
0xb820a20397e0a622, 0x8d8ec67e5c03de03, 0x0c447cf8f013ef5f, 0x71b7884422aa0fc2,
0xd26bd7ae8fdf11da, 0xc0dd59244640195c, 0xe548c9a448b7f513, 0xfaff24472aa2c228,
0x4cbaf788c7912e42, 0x1f8721b0fabf3703, 0xe101827ab46df845, 0x188a7d5686c1f705,
0x5c762fcb847483e3, 0x34220635ee27754f, 0x40f598337b02991d, 0x96d0af5f12200c0b,
0x8bf65bb2f5edec2c, 0x0eabeb218d852f4b, 0x792313c8ddd05fc2, 0x166126259de6e6c3,
0xec7ba2ae8797322f, 0x6371206235b63380, 0xf549f255b5a6d6b1, 0xb301e10148578ff1,
0xf33049a789378d11, 0x45c812e6405ce53d, 0x7e1f41fe812b3efd, 0x02e2b26e126d652a,
0xc6e2ba1d1a4ffa5d, 0x1ed0706b081dbd0f, 0x721a856b981da04b, 0xc19b097bdb165e75,
0xb94dfdeec6602d9b, 0xfb6c24399d25aecc, 0xd2f538f34ddb1e37, 0x2f7987955effb3b2,
0x927b56d288b5ef77, 0x3c150d91bc87c346, 0xb65d43e957354dd7, 0x3e7c3209b3b15dac,
0x3d753e06551daf28, 0x33534e1b5d0ff276, 0xf60f9a07973d785b, 0xcd4ad5c12fa6cd5c,
0x95b23f2d9856c081, 0xabac3cfe4aaea4c7, 0x376ed652a04e6901, 0x1cbe024e14355e29,
0x9341e84cb65501a0, 0x31c92763b5703939, 0x20abf91f59f92dc9, 0x7665918ba30f832b,
0x89c7fd5a4f7f03b2, 0xf26e96e1c0024fab, 0x972d28e0fd3e6bea, 0xfa8d2182f3b3283a,
0x70f54ea62c7b0fae, 0x24efbc2110c8ec05, 0x74b5d9202c594510, 0xa87a454931007096,
0x73a9698e7bad426b, 0xf5b62ba38d12283a, 0x8e04a268c1c71573, 0xac378f106b80fbee,
0x167feb8d33c17a06, 0x5e3260aad339f737, 0x523ac55693082085, 0x4fc11422457e1622,
0xf5c2edfbc68a6f15, 0xe15fd21704e6ed53, 0x818a00d0cdd1266a, 0xa983776b0722f26e,
0xb7f89d07b0e6e659, 0x7661c72888f8c313, 0x436db1baec68ce16, 0x7d2da53ec84ffbe0,
0x1121fed18b1979e1, 0xb2cac1cdcc5a098c, 0x6be53bbe4f36b502, 0x821c8fa98369ce7b,
0xeaee3cb046d2b43f, 0x3d58f9b80d3d1485, 0x78d8683dd83d0f98, 0xd9ba9a73ef4534f5,
0xb64fc4eccc9df73a, 0x6ff682900af66f57, 0xc343638ebdd8a568, 0x9e6687ea8e975ef3,
0x25850ac066cc63a3, 0x1c5aec82b19c14c2, 0xb4f94c696846783e, 0x07e35f1874e92fb6,
0x6f1023c79365d1a4, 0x181ed4f60c474992, 0x03f5c9e9d7e02a90, 0x8174fa9c56456fbf,
0x9e301d0155c0be0d, 0x5c2181e983794c11, 0x3e874c91c8b70229, 0xf0bdc8e3f76e2b7a,
0xdf1d41b0081e6c66, 0x2d46776f2048797a, 0x292b61777ba2ba30, 0xd5bed711075db78f,
0x69eaad7f976b74af, 0x1d282e02a0ba1ba4, 0xabac653f19cf50b9, 0x7c638002a183c0dd,
0x2f097ce88a66a246, 0xf539a9ac8c517e54, 0xb788772781c10c73, 0xa23031f8ab3b5d71,
0xddb336a522cef187, 0xcc7a46dd6518d4c8, 0x12dfd5c311bbdfe5, 0x2561f06e06abdd78,
0xb8f12d94933d6e3d, 0x5b53ca0de81aa24b, 0xadc548d9daf48cad, 0xcd4847b6746ca983,
0x46dbce7718386700, 0xb4456ad98b35aee7, 0x9480ea17ebe3a695, 0x0312370060ad9c3f,
0xc0005d55562819ab, 0x8405287bf43628ca, 0xba7af7e8b935e385, 0x596978c5ea365935,
0x0e8d45ca76ff724a, 0x3fe37e3b004bb0ed, 0x570996c752bf9b07, 0x8031e28b9645b0c6,
0x72e041011f18aacd, 0xd274f9155906c0d1, 0xa7512973424f479b, 0x295fe0bea5cb1fc5,
0xe2dcf7b831944e98, 0x4971472dada31b79, 0xb8b108a51f33db9e, 0x3dd86a59cf928172,
0x6641999db5f279cf, 0x96d6a9e22fe95ba5, 0x9c2d35bb100d8685, 0x57d1a61add6f7803,
0xe467080c3d69eea9, 0x6c64feab01b78a29, 0x6a154f57ac9e7ab4, 0x213bba59972b553c,
0x5bd55c138ee8033e, 0x4d4479f0f66e40bc, 0x728597dc0598c0d9, 0xdb83c2e6120af490,
0xff176ecadf752498, 0x03f95eb3204d2f31, 0x95f8040fcdc5c011, 0x59bf1560b998b7d4,
0xfb3c13ac2cd5e01b, 0x3b92869274cb507f, 0x77e52552770c00f3, 0xc2376cf5756d4642,
0x1a6dc59affd90662, 0x00d8c4b4c54f2941, 0xd292b22ec8fc6069, 0xe85ec1a58a145e19,
0x011205142d5b781e, 0x8738c0530c329377, 0xd52ecd870e1d4f30, 0xa49065726f824fba,
0x9031fb7947933dea, 0x22277a4a66c68570, 0x10291bd1ba4f28dc, 0x7f75bdfb09b47e83,
0x018862629cccbd99, 0x906012bcb65aaf97, 0x0626af1d6e46525f, 0xc911ed1a03cc7603,
0xc71ce28d1a1b8e45, 0x1eddfb7dddc2ff34, 0x899eddc795b0ebec, 0x9dae8260c5276884,
0x88b99c867ae0a35e, 0x26e97fc75d5f49f5, 0x292b7486eaf91979, 0xdf7fffd307ae3124,
0x26e4323d06c2584b, 0x81e72277caa0ead0, 0x2b6d104a5ae5c1ea, 0x7fbdbc0bea8800ce,
0x65d890164528eb8e, 0xaf230fc740625739, 0x549d17747a674070, 0x9240f7e52afe1e25,
0x07d67893ea9d5379, 0x7fab5b711d92bae1, 0x7062289b05ef7b2c, 0x8d4327793198d1fc,
0x255b45444c9288f2, 0xf21222b04559cf1b, 0xe01b5a49383b9013, 0xb79f00268b639952,
0xdd88c6a21ecb0aee, 0x93de8c64b2adaf26, 0xe37ee35289b8ec05, 0x870bbaf4cb50ad90,
0x5f04c87be747745f, 0xc0364274e54a04ae, 0x5aa75c75850a8611, 0x4743406978c05ec7,
0x8da71a4031640a59, 0x4173d64407e843c5, 0xf9e173dfe991b2f0, 0x6383d9c8755a8ed4,
0x72dc08302d2db9a0, 0x4a6f61b842d0095e, 0xd68f3877aaef740f, 0xa4dd677e40f60184,
0x95b37b8e71b5ab1b, 0x8469f4409074de88, 0xca3f5dedadfc2aab, 0x0cc677d58aaee6b5,
0x21d46beb1d1c7c3b, 0xfd4164330c31c00e, 0x7f569e00d2312530, 0xef99c7e2fa6fd0e5,
0x0ab228c26b88c9ce, 0x6284a2f0db99ce8f, 0xd525a3e5ea216f75, 0xe2b4b6817b04a78f,
0x5095b31ec55c8057, 0xc6f143857e96703f, 0x5e49af7f1b15db8c, 0x6b172b6d891552b4,
0xcffd03a10869f817, 0x29f94cb2b6678105, 0x3871b9f5ff4980c7, 0xf0a1b0b93aa33b1f,
0xa8dd09795e242508, 0xcaefb344fe157786, 0xc59c91b3414d12bf, 0xadf4e3d96b375e71,
0x222b8e8682916266, 0x2c0d6633de87ed4b, 0x69dffbda3c96e10c, 0x5a7023f67463771e,
0xa9464e300fa3dabe, 0x4586e20c1e81f68d, 0x5ef602e40e3ce9f4, 0x105b346e13cb0159,
0xd41a41b36148b7f6, 0xf97b9da9aae8f18b, 0x622d84d4834b9694, 0x88d71b397ba8f2d6,
0x2cb7c271389d7684, 0x358d69aa8d8c480c, 0x677ddad92cb1680b, 0xba8e742ddd90977e,
0xdc2926f589df4e30, 0x3624452ab088e1b0, 0x6d7e07357ca38609, 0x63443779eb0d2d6e,
0x64657567516d5086, 0xa5c3011801392205, 0xf53755b84cd48317, 0xa4acd51ab9a8f9eb,
0x0378e32147d1b546, 0x85d4cb74e37b21c8, 0x2209f858ce00c37b, 0xf98cb3222ed30dde,
0xb41d740ca18ddc82, 0x6ade887ef267200c, 0x0cda70896015d386, 0x4bf3411a364d6d6b,
0xf8c3018d8136bee3, 0xaa008423de9ac1fe, 0xdf51e499171b706f, 0xb6aeb47d303c7b79,
0x25102fc57688f92e, 0xfb7ebec253cbeb74, 0xa9fb0013df64226b, 0xd171b1830ec6824f,
0x8d7d1b38fa6e2a51, 0xec3cbdc70cfd39b5, 0x1b3886546ed20f03, 0xdb084dc0851b220a,
0x71bbb4655f293dc1, 0xf00ddd64ee909302, 0xfc4d0d65c18bfdee, 0xba9b612e5e39dbad,
0x5b6862be2894dff8, 0x081c08e04cf49791, 0x50d5f49e937cb580, 0x39bccc7e4cae0bef,
0x99de5c6a58727a69, 0xd32c41e45a4732b6, 0x904357aa1dd3dd2c, 0xca8a43442ab59df1,
0x18b7776765b50ad8, 0x98116522e9f676b6, 0x7416b8f7f559367b, 0x533e9ce3cb525713,
0x0af2515df86a47ec, 0x55e985b886cd6977, 0x6e5dd97c537ebc62, 0xf4f9619a5de6bddd,
0x392c6625851c4bce, 0x14839dea100a5721, 0x9f3c1f23bea7f176, 0xa406023e7dcfc7fa,
0xd5316683ac1a38f0, 0x40b8f19361a2a13e, 0xd274cbc897781e4a, 0x7f10b228038b5a69,
0x68f923ccf3e2d9ef, 0xa8c35ddffd3a5a34, 0x11d27a6c38c426af, 0x535b4754b54bc6e9,
0xa05d15b42b5ebf98, 0x8b7e965017701a11, 0x679341bb0146610f, 0x01c856425a92f5f9,
0xc304d16e29966ed2, 0xc93fab3294672de3, 0x8b999daba35dfa80, 0x8a81bb7a90801bae,
0x1f5027d000b9b554, 0x518f5ba4626a3584, 0xc5bde19251339173, 0xff16f0a26b741677,
0x9b6c1537d8a84929, 0x18f8e9e092afd450, 0xa0d126f657e05d88, 0x77afebd1e6874759,
0x6a29429703d4fd67, 0xa5ad221fe9ca0d0b, 0xdd29bed8e9d5ad44, 0xa39742f27c4534a1,
0xfd08bc94a8e7f457, 0x11c7fc80a59abe1e, 0xdc2b9703135e0825, 0x0898251fd9e2dc95,
0x53ff8554b2fdd6f6, 0x87e433e6cbde8d68, 0x8fabe397d30f7afa, 0xce26f9c439fdf368,
0x85632ce9197ca924, 0xcfb5583b7ca94960, 0xd3f4509e53b1706a, 0x044eef09978245a6,
0x017a8de65560cd2f, 0x3fc139c5472fd220, 0xee0c7a668ddc82cc, 0x4c96a0c47a36354e,
0x90197192b6a3f776, 0x7e233607c24a3bac, 0x1bfb66406b08686d, 0xde9c5fe80333d2cf,
0xd984b19133e4b0e4, 0x118cd3e6809bb85f, 0x888dba29cd4a5b46, 0xcd34b780289103c1,
0x7c9ba07347001de1, 0xf25e13bab9f6b463, 0x25d864d3af66b6c4, 0xe15958c900d74ae8,
0xfabf7298afd77b8e, 0x29f6b2f6edd141a9, 0x8f56d844ecdd8333, 0xab3156fe53775bf7,
0x2f09162c87c972d0, 0x67c4b774a1e7070e, 0x82c6abc9d88e9893, 0xc2369c8ceb8f1aac,
0xc8ca6d1d8c40f7eb, 0x3f0fd7d7ed62b1eb, 0x2e813735e047863c, 0x4c35aacd6e480a88,
0xc6e2b14fbcb17156, 0x3469b5d0f2a3fa35, 0x0add118247926b24, 0x93e4a7d1f82c45c0,
0x095fc482186ed81d, 0xd31d330870c445e3, 0xd74fb46dcea122e6, 0x74c2b98117c6011b,
0x9bfcdfbfd0d8167d, 0xc963814e0d6c5c29, 0xef5d8ac69455dcb4, 0xf7364b71935eff2c,
0xa013bbb0aec71ae2, 0x5a7eec7f9d5e6c25, 0x85f330dd23d8f896, 0x8ba3022f4c6ebc8b,
0x2008f21331f4f4d9, 0xa54cdf610a53a1b6, 0x132001f9d56f73fb, 0xc97e9140e444e15e,
0xa97fe1dc83a98990, 0xf45ff14a47328241, 0x4b34d8aba481e3fd, 0x7a3f1ca10cdf5a40,
0xdc9b405bbfd0814f, 0x820b788020835e80, 0xf19750e9b757032b, 0xe3ff5d7a3561e968,
0x1acff0e88cbaf8cb, 0xd123874709288703, 0x2e335930d2b0315b, 0xdf112c63478ea745,
0xf7402dcb081655b6, 0x0c2f3c0e22a7ca26, 0xcebe2efa42784ee5, 0x04befecf0251265b,
0x0346f971eda4edf5, 0x7704eca3984d1b93, 0x48a49d83ba73e047, 0x53ae948d8209e59e,
0x2899f8030b388b34, 0x8afd14cd07ad52eb, 0xd72e461689dd2a0a, 0x83c80ef495210bb1,
0xc7541330d8c5c226, 0xa0e4034785cb92af, 0xedd64d246fecfdd8, 0xdd0858ccdd335797,
0x1d60317c0bb8ca73, 0x27ea5ebccc381d09, 0x2af059f7144028ce, 0xbdd15ebc501ec5e5,
0xb04d20e2f1730c26, 0x8f03fb4992eae9e0, 0xd901f027569d5ce4, 0xd010b43dc13a1190,
0x09401ac98f37a4f8, 0x990d554c37e32187, 0x22dcb5e4f5d29d11, 0xfe3ae311551f1811,
0x974fa9c902ac64d3, 0x00dfa29bc2c037e3, 0x82bca47a7266ac71, 0xcb63c63907fa9622,
0x1e9ce93caa3fafe2, 0xa6fe6ee291ccd614, 0xd896ea1e9cd030c9, 0x89075b2ff2c49992,
0x0ec3be6bca8af72e, 0xd2be8b2760a32333, 0xc9630112b08fccd6, 0x8bca645b3afabff2,
0xf5b761eabfc1353a, 0x5a8d4125ab9469f9, 0x585bf2f83efd0f23, 0x378a35fe9ce95967,
0x11d886e74a1185ef, 0xe15c8e068fb1f6a3, 0x67787e5dacd993d7, 0xff41886508b6140a,
0x32c3a1ae974aa761, 0xf0db76ecafdaf375, 0xa01f4020c993020b, 0xaad8386efc4dfaec,
0x5cc6a071f1e478c2, 0x46385d09ef52a7ad, 0x0bb1055867a46e6b, 0xbab089233efed964,
0x30ca374e4f536059, 0xbc4a84759f5981d5, 0xd0959d3b068451d3, 0x51a57592120c4502,
0xdbdf49d437e21f94, 0x552a91c7fd2a5313, 0x008c122d577aef93, 0x583db63d1ea8584a,
0x56aa66633122e785, 0x7b81b9d7a2343de4, 0x85f8862a5bfc2e9b, 0xe0ec5af65ad9a49e,
0xb827470bc999a2dd, 0xe5a1b6de58cadec2, 0x8bc3210cf522e215, 0xbb1d4508a06389df,
0x2da65f0c89057c95, 0x0635e2f876eda214, 0x32c089c2e59c4525, 0x65aae2a4fbb75cb3,
0xd26fe36de090b432, 0xbb3430200684de4d, 0xdf69b803dcf40464, 0x82bb016dfe2bbd19,
0xf3592cb0d84454d5, 0x4586a81aed947985, 0x69f7b55cceca96b4, 0x6664d540dbbe5254,
0xd65db541bd74ad45, 0x84282a5b9dfd5137, 0xe770994b4450f34b, 0x30d667eda6a50cfc,
0xb08aafdfcdccbcc5, 0x0c1d89471f8ce257, 0x78ae466abee996e6, 0x82349f4cd9b4e448,
0x2e1aef1942946b6b, 0x21cc959c494417cc, 0x5a3264f726f1b308, 0xa558c10a11797c8a,
0x2470721b786f3ac7, 0xb6b6d6dd0a1feae9, 0x4fe6dc5de6211cb1, 0x4b0cfa132ce7a34b,
0x560ee61ecc692fb8, 0x6148a4388a215b2f, 0xddbe33f17cf3e036, 0x15f88203797f9c62,
0x4cce3d6f9c1143dc, 0xef095d16656003c3, 0x280e43ac4b536214, 0x3d45da693d94a2ba,
0x2159543ae2c0d15f, 0xc973882483403bd2, 0x41b68ed8e5daf821, 0x2cbcbbd05f0188a3,
0xf31139fae44bf05b, 0x2f489f3c0282cdee, 0x3fd9d215e7426fb0, 0x4251d156dedd0993,
0xbc1f23f141bd5b0f, 0x98bfe75598aec79d, 0x83be0496aa331d14, 0x242582f87dc5dde6,
0x9a88dd7f377807ca, 0x3fc9736c1bfaea54, 0x9e989fc51cd840bc, 0x445fc7710201dc55,
0x25040fa29be52694, 0x83aadc69321cc603, 0x4e22a2405a4daaab, 0xb85096ca58754c23,
0x7707d0e70f7e275f, 0xaf27e2db7852245e, 0x40fce827ce2de7cc, 0x86acf8e7a6a048a1,
0xf6711a9b1d4e3217, 0x7db9d2808bca2928, 0x5aad01901988a5a2, 0x7bb5e27bf2642b8b,
0x091865b808b6d0c0, 0x76630cf009816976, 0x03aa92afc0281927, 0xf091637ddabee31e,
0x3afdc45a2f8f4d00, 0x6dc84a64ecb8a918, 0x75dc5e62fad91d23, 0x81d78e540402d15e,
0x3dab1946a77d7cc3, 0x8dee0abf063d9c3d, 0xaa7d434fc8e706ec, 0x8674394379c0c074,
0x0a5395559686c784, 0x26b398f16f206d31, 0xefcfbd7c85ff8447, 0x9c3c50cc5187c9d6,
0x90172ab213b4b0d7, 0xda685ea68da7a2cb, 0x50ce5244f2b9c20b, 0xd6386467a8a9ba6f,
0xebaf29f7bc1108ee, 0x3049d86a1ff85dca, 0x2ae6b41f92b3ac3d, 0xedf8846334a84e8b,
0xdf7f19e93c6854fb, 0xacf8d6d21e0b585c, 0x17057643b49a9768, 0x9016fe426f7e38d1,
0xd735d577821e27c2, 0x3f88aeaf125fc3d7, 0x31678ceca42de4db, 0xc541cd062afce3c8,
0x6f6a499ca04555a1, 0x8373e4fcc7b859b4, 0x2b8c421faea84efd, 0x7f739d875cba07b6,
0xe2c34bf3dcde3b25, 0xb0cfb9f928d65f51, 0xce2f4da5cc3da70c, 0x5b9e57956c441f5b,
0xa1e9ca22cbdac599, 0xe0ac43cd1efe8e1d, 0x7a156fed01d6cbb1, 0xfd2d367dbacb8279,
0x5e641907df28e700, 0x1de69d9e89fa7010, 0xac3321fdb2cbd5d3, 0xf52a596929c4dc2f,
0xfbd7a21edbf50401, 0x796fdce584a6fa53, 0x732e28288473a473, 0x9bc6363e6c66b961,
0x831cb7b208b3ab72, 0x6a169a6ceee49468, 0x5df81d9307c4ad59, 0xecff644d460e0d3a,
0x4dfe0f29184273ca, 0x17c29c36aecb3330, 0x18a122fdca9460a7, 0xc3a65ec6c640729a,
0x9595af04fc84bc81, 0xf28b2d2cf226bf85, 0xddf1bf088b86c0ea, 0x322676ecae70d255,
0xbed49ae658d21baa, 0x585f6226b231cde2, 0xd472226b689598c1, 0x6a6582b67fdbaf02,
0x8e17569c50e63a0c, 0x715159686b5776dd, 0xcc2600963f3d594b, 0x924ae839ae9aeef0,
0xbb59d75fd24d3a24, 0xc38e56d78e5890d2, 0x8a237600f093df0e, 0x825dfed0e4a3950a,
0xef86de56c31aad92, 0x1957c4266cb360c2, 0x9ef7125aac7b5e28, 0x86957a61de8b4b91,
0x90b57e5b0f029756, 0x583792e1f432a3a8, 0x62f6b76543feff00, 0x56795fa689d089fa,
0x199e7c6b2e05533d, 0xa84baba18250645c, 0x9c4b05d0eb14f1c5, 0x69f15b07b5bf9286,
0xa469f5a8b6aeea23, 0x6cd5a1b7828f5918, 0xeb55d37d5d4bb786, 0x6d25faa01b471db9,
0x2b3d22f3d498d787, 0xea3a60ad303d515d, 0x20696f3403e066fa, 0x2301a27198b5c9d2,
0x695837089fa4a83e, 0x1f00bd7e68c2af70, 0x8b15e276ac37d5df, 0xc10a70e693f7d8a6,
0xe5ec58f7e48e1050, 0xafae364650dbc86d, 0x86e24480ef984c86, 0x6a9b1050811ec910,
0x189f57620dbd5512, 0x453dd9db26ea4835, 0x8d0fbdc9ef5f2042, 0xe56f3092fdba13ef,
0x0fa50771ff18138f, 0x23f9a3d48766c3d3, 0x6467e57eb883edf5, 0x3768ba3637a1ba5a,
0xd2870bb2874c8cbc, 0x5435128dc1986e5f, 0xe00d72599dbb84d2, 0xf641699da91a8e18,
0x8cfd9fd630ab72fc, 0xa0ac261257c30dd9, 0x27a05f434a5e7696, 0x4c4aadbe9c4c0355,
0xeff82e8d2a3723c2, 0xd723bd26bb4ab52f, 0x6dd99f1c7c244761, 0x989e5ea4f6e12bae,
0x3b3e761c26c126a2, 0xdd043f6c26198e66, 0xa96fcd5eea7cb782, 0x8b473095533ec891,
0xc0e9bfe4a2505cbe, 0xd48db6a85e1b9c95, 0x9e1a2865bf8742ac, 0x06edeca2523191d5,
0x22106c276bb43e9d, 0x02f8bd46a9447b1b, 0xc13766ef7a2e0c19, 0x6055ce44db717d92,
0xe66212413bddb202, 0xefc730f4d649dcfd, 0x2e037829b51b6fb7, 0xa14bb217e444ea8e,
0x6ae91a0b5271683f, 0xc3a65afebd57e866, 0x4869d6687ba0a1a3, 0xb9f87d438fc900ca,
0xb020aa83a5bff9bf, 0x5ab0ee52cc38ca6c, 0xaef8c83a2d5e1e7b, 0x23d37909de07935e,
0x6115722ef9b4bcd6, 0x0e019ee2284ed88e, 0xe9d192940e1c0995, 0xf41cc76fa94b56fd,
0xe7316977d8f0e1e3, 0x3a3eb032dffcf133, 0x96616d18ed84ffaf, 0xf2449df9bf495f33,
0x837517b4a33e9233, 0x6b130eccceb16a62, 0xfd524e00fd8b89f5, 0x059681b1b137984c,
0xec55ec114f985a46, 0xdadcffbee9e93170, 0x8493565ec4298bf8, 0x67663276b7dc8e57,
0xc611c696a27da8d2, 0x1a140f38a66be0d2, 0xa955d1f148cf4c51, 0xb8049aeb334c5d4f,
0xfae3195f20a51825, 0x93e82e1b5ad618f7, 0x7bff8157c94302f5, 0xb40cc0bb9347f36b,
0x0f7d12e529402a21, 0xa2a6f38120935cc8, 0xabffa6b58a8b6d97, 0x110b334586a0effd,
0x0d2008928878ff00, 0x51ad6b4f06ba05ec, 0xd4b2f05062eb80e7, 0x0668b6741ee47257,
0x8021a2b19e1303e3, 0x55e75c7193aeffac, 0x8176ddca9f114a47, 0xc57eb42277934adb,
0xd70f34e05bf32b0b, 0x26b3400898fe9c86, 0x542566861fc57fed, 0xfb6b3f9c59129a6b,
0x1905e0c8a09d5570, 0xf98d2e87bb76041d, 0x08da2dc8907e3c51, 0xa156a34d4bef0c97,
0x01ff77040f7a82aa, 0xed4059fc4486e33c, 0x28c0d2c3e8e161a2, 0xf813c406442f805c,
0x00d252cd601bd475, 0x3f721fc0408e0e0f, 0xa45b140bbaddb6da, 0x2109d08354ebe60e,
0x46b5fe8432c10ad7, 0xdd00f7f6a0a9cd53, 0xcd2e7488dc60fe66, 0x0503f646f5334888,
0xd04625d78650200a, 0x9c4e86d7c5dee07b, 0x92bcc468884bb3f5, 0xbffb2cb24b27d36c,
0x440aab66e17c5596, 0x4427468ae7770e3f, 0x0b92e422d32f73b5, 0x2da47f1060a57327,
0x861b4ee0a33f490e, 0xe13a977be37ef5ff, 0x135ddfa90e432924, 0xd7b16859f33fd28a,
0x2cf74ce9dd3984dd, 0x2d0414095551562a, 0xf71809ae7cccde01, 0xd8e9a12cdfe24102,
0xee8fc3ae2b86b559, 0x6d77ce1ba5d1966a, 0x3d24ede68287ef48, 0xaf3f4e4cdf50402a,
0xa2f943b82f2dc17f, 0x9676743a3737affe, 0x0386ad14daa79b25, 0x2be1d05b6b59fc37,
0xfd62b81a8bccc759, 0x6af6920b60b30ba9, 0x15406d48c90c3899, 0xe99260f48f756349,
0x741215d55a5edbc6, 0xc0922556054dd7e7, 0x3539f0338a3a6a49, 0xb086aaba5736fb5c,
0xa4e93e79e281dc96, 0xa6d280978f9e6abb, 0xc8ecb766e5c0b9f5, 0xd1debdd51c2c4be7,
0x0398e82d28b0222d, 0xa1f4e03158939bbe, 0x0dc2fc6d3eae1ad3, 0x525d2374a8884d2a,
0xb09f3817b5601a95, 0xa69bb7129d67c481, 0xb8365b56c5cde395, 0x5fda8e56c8f96a12,
0xf0cf05327c18c60a, 0xbaf0c4cf91ae28fc, 0x8c08f1ffd788d990, 0x0a063f0ec21b43df,
0x6e3d394ef7a8c3a6, 0xba8406488a834a20, 0x1878a78e7eb757d1, 0x54bdb3e9cebd6f0b,
0x5a59da503711a3de, 0xf33450901d888b75, 0xe2ecfc57ceac7ccd, 0x3607c106a9c3147c,
0xadd154e3a4c63f11, 0x77ae2042c6a49da3, 0x05ed7f87939bc27a, 0x2b8db4a0b0663763,
0xa55cecc1e045fc97, 0xb4f731f2e77fb9a0, 0xf0de9477fa8b7716, 0x51d12aa191425444,
0x9269b47ca7c091e1, 0xb9f3637e5a0cbb24, 0xa6d8dc6afa015fcb, 0x6df02641445b634b,
0xbc9dea4388f7fbd6, 0xe3bacdf999444007, 0x2466ae8df34cb8df, 0x78b9a7cdcd780fab,
0x6bd239e7bf358251, 0x5fb3ec79dd3c8150, 0x3479966b02cb5e74, 0x5e058f86ff22035f,
0xe28a3f5c11ebea83, 0x935df6d1fbf5c9a7, 0x0e7f1b6853bb8b9f, 0x7ae41bbc703f7af0,
0x905ba15b6c83c3fa, 0xad89bcb8323013f3, 0x85cf1658249f9117, 0xa06ccd00aaf6946c,
0x00da5de225bd1822, 0xf9cbc394a9b8abe9, 0x19bb8bc731986b94, 0x23e4358bf16dbbe0,
0xb9f00590075d84ab, 0x34bc1cbf7516d73d, 0x62f4f9c6a57d36c5, 0x45bd14fb72e05088,
0x424db19529da11af, 0x6272ae67e40f11c3, 0xf328c97dfca0cdf3, 0x741280f70c408847,
0x7a21ef0a09ca3f74, 0x7bffb6033754bb8d, 0x4bd63970e8e28e68, 0xa2fc3192f9bd4a1c,
0xca3c94b5bac44842, 0x7da26633e1a69555, 0x98095690e9dfb8d6, 0x7cebf7bd4e03f227,
0x591fe9f6f7c57987, 0xf67e6bac21ecc8ee, 0xebf64b48bf0b7081, 0x40a57000b8acb1c0,
0x0f3bdcdb7fd35527, 0xf4b48cd78dd77361, 0x3873a90e1cb47267, 0xc142071811362830,
0x64d463c7c6f36eab, 0x24cc5c000bb9c4c9, 0x801ab019b494f8fe, 0x60ffdbe3f237b6f6,
0x0428cb42ba704a79, 0x7e37d7c39bd3be3d, 0x06444497c73b5999, 0xfa58699ee3c77811,
0xdaba09e23eb7df5f, 0xe02a645340cad7b0, 0x1a706cef7b97acc2, 0x92ae32d7a45396c6,
0x8642d5f1799697bc, 0x0e8ba43b9aa5a1f9, 0x423df6548c7e71a3, 0x4d74c9f752e307d9,
0xdb776998cb1c1b60, 0xead5079b71690f1d, 0xbd4785828f035d8a, 0xa58c066600b64be2,
0x2ca9f21d1bc222e5, 0x6aa6577f4cdcc8d3, 0x0f9e36a998b2ddbd, 0x803eca39b4ec0435,
0x9611cf589cc10781, 0x4f08217aaf31642b, 0x09677b7ca2444103, 0xd3bd98fbde813c2d,
0xd0c7155385c10bc2, 0xd6d2a2aa01e517a4, 0x4f2d72cef5c860ee, 0xd79b13d5b67f1ffc,
0xa06cbb17581bd8d6, 0x52b6e7246a046b7d, 0x10e13e6e35256845, 0xb30aad844e61ee16,
0x2456fda36541d43a, 0xefef2aafed01363c, 0x4b71f214a218b3c4, 0x36c1716af64cab86,
0xb837353447ea0af8, 0x3fa4d1428f39fd10, 0xf45d5bf1b114c8c1, 0x49d24519283262da,
0xe5c69ff535678e18, 0x111559430c0dab4a, 0xf23fd35ed071cc0d, 0x9281b41c73e74f08,
0x71222410af683092, 0x0021fe2eae1f27bf, 0x3235dc80213a5ba0, 0x9a86c142ba1d556e,
0x70761373eb5a1973, 0xe79dc5ea92dd3ffb, 0x5e09f65aa4b7b130, 0xa7c0dded1025c808,
0xaf0dd7639cf34395, 0xab014049b8c36760, 0x6795656e53d283ff, 0xc6a688160bc12356,
0x491abf9ee5d6eef5, 0xbcd395505ece3fd3, 0x6491967585be1bb0, 0x036da8dbbfe0813d,
0xf9b0da016f74622d, 0x9ccc375a83725472, 0xde264b42d1acebbd, 0x08b55366f65d8750,
0x9f33eca6e36eaee1, 0x6c69264dd6b1786e, 0xc8ba6347c5299510, 0xf6be6e1bbc730900,
0x3d0e71f2aaef8a61, 0x69db7db8cf4a51cf, 0x17b2eb5455877357, 0x9f219fc4c1cf6386,
0xdaff6fd5a44f25ab, 0x2f09b62a2d707eed, 0x0a713782e514055b, 0x3a5b047015f5e86a,
0x24a4b24b603121e6, 0x5003a509f76cb109, 0xf75047311c2968be, 0xf5a8923465199c4c,
0x9fdfa7b1c66a7889, 0x376d243bbe32bd75, 0xd6027ca75658f114, 0xa6fd2641e6891e00,
0xb43e4c693aea9c70, 0xd45c0ec98ddfdc54, 0x9271020c1d4d1652, 0xeb6768a4eda07cc3,
0xea1d572b753a9b9c, 0x961e3a2ce62ac9fa, 0x380bec519a20e828, 0x084a5b8078753f1e,
0x4bfd323ff235614a, 0x7e1826b7e2a4f802, 0x88b494a58469b096, 0x2f27a05c881db5d8,
0x3bfad091366abdb7, 0x3458c6f0d466f9a7, 0x9c6400d1423a1d87, 0x67109c5acc7c9ec9,
0x1db3cdff4a7d8a3a, 0x43ae8e8f7e4cbf7e, 0xe70cdb94b4f97a32, 0x838150324d5aedcf,
0x0011da9fdc8db66b, 0xee412946e8b65e92, 0xa776838cdf5e7498, 0x307d10638537ad0b,
0xcc9475dbb5fd8d1b, 0x30bd8c901d1cb462, 0x117f0173984e34ec, 0x358225662e17f13f,
0xe16fb0e348d90dc5, 0x63b6a2edfc4db411, 0x3f02138208d2fa84, 0x807e6d4e08e1bec9,
0x36ea4817580571da, 0xd80f73dfb1c53d46, 0x0811d27aeb8bd1e0, 0x18cea70472f18b00,
0xaabcbf3a98956a64, 0xe53cf745e7e224f3, 0x5169a52ee170aa3d, 0x43939fb1d5f917b2,
0x55e6fa23eb41ce0f, 0x66ef1d5b16bfb849, 0x74bc5078e86ce7be, 0x4612196f83fe0295,
0x58f3443f9bd95107, 0xe1b6514110acc4a0, 0x02d2f7c45959935d, 0xd1ea3cc94d35a619,
0xda6bd344c4cf297e, 0xeaa73a676cf3ac31, 0x19902a28fe1a681f, 0x46bbd3d7bf2988e5,
0x038890e53f17a35d, 0x8e20f907700a5f54, 0xa25548f72721fa0a, 0xb89fe306a395a494,
0x56dd6976ee8961fb, 0xfccba90313321dd5, 0x278641d837c426da, 0x8a5966c4aca81763,
0xb6ca52ed6eda47bc, 0x361d523d8b994b85, 0xd3dc0fffe6bf6d55, 0xa793c574f6d82bcf,
0x0fd982f75634e516, 0x804e4d8a7f32de9a, 0x20b95e9311dd04b5, 0xda8dd325dc323d97,
0xd3a5fea0b8a7ea87, 0xb9b837e9b1e22dd3, 0x88620be8c24a55bc, 0x7e35eeb871f3808c,
0x48ed91d621135926, 0x8e2a9442f653a8a7, 0x18252919c34bf7df, 0xbb4b161b875c92fb,
0xf77c5f1afde5eeff, 0xb0ac415c7a44b1eb, 0x4f0f0d83f2552cfc, 0x96c5656a26c7e49a,
0x18f65b433071d6af, 0xb21b265cf4716174, 0x4b0af600eade3682, 0xa2cab40510636435,
0x4e5c932cc68f7a25, 0x865e091044335e2a, 0xb4e818a5fdfc67cd, 0xc3fba0ef0e01108c,
0xbeb68bcc30d55fa1, 0x89b8a21333a81f26, 0x649d2ff63767230f, 0x18d014adeef9923b,
0xa488f826bf518963, 0x8c2bf807b6720384, 0xf1cdecbb1d1a0053, 0xe2ffe1ce595470bd,
0xdbdedd5c2e4b8d22, 0x82319bf31047ef0c, 0xd27eb197bdc40e2d, 0x4e946c842eb930da,
0x51c1f990cd488231, 0x89e4835cebff8cc7, 0xc664c5adcf0bb5e8, 0xa7d7abc311bfb777,
0xa809df4fbc098c18, 0x2278ddc92736d640, 0x5bf517f60011cb3b, 0xa8166816ad81f4a3,
0x677de8fa3e0950fd, 0x70945372dbc8a843, 0x841add8bb5292f82, 0xfc3f92bb85674672,
0x572dae5ce80170a9, 0xc43b7f5c826982c8, 0x54ef9b0427b8ce97, 0x7c4787a4cff5e845,
0xf4edd06221bd0781, 0xca1f7ac267f5d972, 0x977444da04544717, 0x01a3bde49b885150,
0x5a4c6bf8de8eba0c, 0x43d19e11d079d21c, 0xb5ce0f863343552b, 0x24767aa1039c3186,
0x334726760c256dc2, 0xf2699e81767b882a, 0xe33735a5fce07535, 0x5e7bcd0a0b4833b5,
0x8a1ebe9f04da7755, 0x4ccdbc7e5ba1a501, 0x6b030d885b50a549, 0xa269e97049eccce4,
0xfac7a1a65195af42, 0x5a99168aa81548c6, 0x5f5b28dade633e2f, 0x4eaaba4a903cbc36,
0xaaf3813c6c7bd0d6, 0xb63cf9789d4e3ed1, 0x0d5961b4ea16e73e, 0x7cf838150fda4a8a,
0xcf0effca9543a364, 0xe6fe2dfb72eb95be, 0xd451efc89643a616, 0x98249eceeca42aa4,
0x03d3859e983ee29e, 0xa0c5f35563abfa8c, 0x1835c606f4530e4d, 0xd89e23f46dab0703,
0x097a16956bc41c99, 0x7c1fc2a3c9294712, 0xbd65cc0c0c7aa45b, 0xf4dbbd2ec2de9018,
0x0b4a95f2fd75ba2f, 0xd22ddb46aea9b5b0, 0x2ffe87e160450eeb, 0x4a160a5bc7dbe57e,
0x4a3d521fd2faeb35, 0x5163f4ce0dd82b99, 0xd876f3fea50f392d, 0xe3810c9c45dc9719,
0x7a724a8a7caff212, 0xf510665a4d84f979, 0x6fddb5528b9c7293, 0x25232da0767666f1,
0x3654883a54cf8251, 0xed1e42157c12aadf, 0x9914fa7100252620, 0x6a5f2ea4f2592cdf,
0xa19dbb7c5b7a0c2a, 0x8351f228060f8b5e, 0xc9875792c4da3f64, 0xb71f5d2d9544f2a7,
0xcc2dc9f3f91639dd, 0x7312b20fd1884024, 0x61f5fba2a1ac44e8, 0xe32d9efb6ba7bf41,
0x8b504089dbde590e, 0x020fd96f94245b4d, 0xa0d1fa5174172893, 0x30e739b7e0139f00,
0xce5a0c56ffc722c7, 0xf4ab7115c235cd18, 0xbf77b6fb64cd6c72, 0xfbe71e93e4d5aeea,
0x6fc83810dbd3772f, 0x324665c12c65f909, 0x9acc35913a68c452, 0x7184d85203ed1b67,
0x6b13cf03ac66113c, 0xf0e187d1d6411359, 0xddf76ff0f076dbf0, 0x478c361636d84f45,
0x37a18e71e89b819b, 0x642ab6cb83519f78, 0x3761d5b5716ec931, 0xd5f2ba722134b7e1,
0xb1f7d7734ab04bca, 0x894bb458296adc56, 0x3b177a5954823584, 0x48893f5f044cd931,
0x0e35f8103d17f4c1, 0x4a771c9a0d87b6e8, 0xe92a4692ca951b33, 0x6b6e08eb8cee9eaa,
0x4e5f7f611fe218bc, 0xc78e5e746ad2e1b0, 0x61dc19e66c5f2020, 0xedfc2453e712d885,
0xd6c6a7a116c3f434, 0xfd43b0cf591b1005, 0x2fdb45c9307fe0fc, 0x8d8ff6fa5490d31a,
0x6fe72823341b9d3f, 0x7325afcd3523fb65, 0x2ed780dfec0b53a1, 0xb9bd9303dee7c441,
0x90fbf652605b1f69, 0x1cfa8400dd6f0f7e, 0x0eff86965a7803b8, 0xdd8a82dd9896d1d5,
0x97bab61bdcfa82df, 0xceb692328e69ca54, 0x1fae73657aebca8b, 0x09a2b65035b66593,
0xfdbf6e82c1457775, 0x9c44dd4207c3556d, 0x1eea947a6b7f498d, 0xde16f234b1569aed,
0xe30dee5be89ef784, 0x2f5b2d807d72c104, 0x3f926318132a8e34, 0x36d5aeb1a76b309b,
0xf804d55b16948840, 0xfc0c7d4c1eab6322, 0x7c90c32ed3bfaaca, 0x774319bcd50b813a,
0xfb4f7321885ebd4f, 0xb8cec5d13d6fab77, 0x5e58ef435ba6ae0e, 0xe45b90ac494722b2,
0x03b25f7fdf9d623b, 0x27062068d0668e18, 0xdcd6ab1eaf04d664, 0x0da7c297e5de6b4c,
0x9229827e291691f9, 0x6cb06927990a70c9, 0xcdd20c9aa5eead65, 0x596654e45186f44b,
0x471f545cc5cc16de, 0x3014fd7e3190d5bf, 0x10ac3bcfb831aeb5, 0xdfc943ad3cb13b79,
0x262034a90d124eba, 0xcde6c918d3afd160, 0x9548b990234f39bd, 0x1b5ada02ceedfc03,
0xcee63ee0fde3762a, 0xf3996803f03aa77c, 0x41a35cdab854ef26, 0xae2cfa952e691b6f,
0x52ad694bbb2ab64e, 0x734801fd0e38bb47, 0xd9f03f6b5c5f9a54, 0x2abb04f54b216858,
0xa0847afd98da5814, 0xf033bd0e08766395, 0x7079bb31acab72b0, 0xfe5a8e9762f3fa76,
0x7eb654b3df13cb36, 0x384f87e8554048cc, 0x1a1ee2db5fc3fade, 0x2fb01bf6e736953b,
0x5657fc2db66b5b90, 0xdb6562d4dbea5830, 0x3d401d6550b7bf37, 0xb1d6b256b2c14a09,
0x5152cd0d3b516161, 0x081b92b859dca783, 0xe9aa2fb077c1c725, 0x891841f7721bc39d,
0x96d77cb745ce854f, 0x2833bf83bd7ebf8d, 0x3888d223822eec52, 0xd6d6df3487693d4d,
0x129d819ddb0eb92f, 0xf43e9ff2b52ffd04, 0x33fe019fc1d6bb2c, 0x7efaead9c3f4eaae,
0x67590d94cbeeb19f, 0x9b11beda6bfb9aab, 0xcc87b4e6fe37c5b9, 0x7f00133d26c5c9a4,
0xf14aedec89f95632, 0x555e9c2755e49a92, 0xf37fbd4e5efcf585, 0x1c5fa1fc9e8996f1,
0xc26a6e208c82f436, 0x3cb64b62590f9850, 0xa2e430772a99f913, 0x80e4db30b6a685e0,
0x8eb787947bc5acc3, 0x44c94fce35c5d71a, 0x424832600f0cd2a9, 0x47937104efc9cd13,
0xe8c12bce3b926f3a, 0x6806d5ed2892e6ab, 0x6d3f6ddbc4fc889a, 0x0ca3cb42fb90a983,
0x2531f5ec154bf791, 0x807416298ffc69f3, 0xa2504d8a1e85097b, 0xbcad351327defea9,
0x226bce3a141d5c4a, 0xfcd6099518bdf4d1, 0xf1d7469848fa3286, 0x39ca944a4e5beeb9,
0x365766e125dbf7ef, 0x4923729af4a39330, 0x7ef9b8ef1d820362, 0x46d915bc8cac7217,
0xfe653ba0cd05973f, 0x26e918c661ece05a, 0x0b5f250c67807f91, 0x04446de867b2d67d,
0xb8b8e15aac930e2b, 0x127ccad58e203412, 0x9cde938e2afd7691, 0x4a269e6742f9e29e,
0x626c62b38cef6888, 0x4c2cd6611c363492, 0x67610970909f3b28, 0xca931852350107bf,
0x03b6074f50f8b5ac, 0xfd95c1157187c48b, 0x8529cd4dac4cbff6, 0x89e6f64c73120f94,
0xdd85ba4f8c6e40a4, 0x1de26f3101ab596d, 0x3c86925c858ae8ee, 0x8f4ebd29a844ea53,
0x32cd8c3491420b2b, 0x15797284be363b19, 0x10d48e3e8647803d, 0xb46b8b687e9d07f7,
0xda65dec41a863152, 0x2aa08ccaf0765bae, 0xaee27fe7bd31421b, 0x71b30176617c9faa,
0xf56715e8429ff98a, 0xb77de5f0805edcf0, 0x050c241c4689c2c6, 0xca7e62e358420209,
0xf1dae48caee3a894, 0xb6346a5d18a84267, 0xcceaaef96d8b393f, 0x0f2697c54f4bfa4d,
0x19361d5c9245630b, 0xe0d245bd737d29fa, 0x1d52512e1913946d, 0x106d4603800628f4,
0x4da7479d52d7e546, 0x797c4676ab51c438, 0xca5c43912215ac5c, 0xc4db220e685e6d32,
0xe52c016ec199e5c2, 0x9b7baaf2a8ee7217, 0x9826ab0f838f01db, 0x86cba2271912032b,
0x56262063552d2b5c, 0x450bb23115c9ab54, 0x55a0de29091b54ca, 0x5342f55e7da91227,
0xd82e73b723dd264b, 0xa933f9d1a0f67a82, 0x6d277f6a31b49958, 0xcdb3cee9a397f84b,
0x2f63527af49b1257, 0x23cbeb614c613c62, 0x00164bed84146ba9, 0xa40d2efe8f8055c5,
0xab261615d5216360, 0xdcd5b45dd0f68918, 0x5e0480ba35f9dea0, 0xf729a9146b75a1c8,
0x94851a59a5d6d12c, 0x061c60fe1539ddad, 0x48775e0ec16a0c93, 0xf04acea34a515c70,
0x836388b897cddfdd, 0x8eb2d2bcf8972d77, 0x85e5fa032e97281d, 0xbb6290eac0e1fa2a,
0xdffbe29d75addbde, 0x5431d19b71b702bd, 0xa5b945a6bbf8da6a, 0xc82e11ad55a720fd,
0x170def3fa204789b, 0xe787dd4037dde6c4, 0x0992436c117d8c39, 0xc57a79680a2c80c5,
0xf44d2627cd5eb3cb, 0xaf8c0bbbc5125db2, 0x588ed49ae87f854f, 0x3995c10b20caa137,
0xc857cf23ef261b4c, 0xf568311d9a422fc6, 0xe50cf5df6749202f, 0xe4c468ad210199c1,
0x31846b35709ddf04, 0x58aa160c7b0d50c6, 0xea94ae873e4ee8b3, 0x0c8dfc4383ebdad6,
0x1684c89fbab171df, 0x3b883b7099959c09, 0x047dba0d5406c815, 0x5795ea6dc2dc8a0c,
0x219872ae9c3f5d79, 0x90ea8b0e0ddfbc74, 0xa44321c7bbc1230e, 0xb52ec17124029687,
0x82a59fbfcecbf584, 0x3c4008fa3c17e00d, 0x4f4bf18bf5f609e1, 0x48ca9979ddf51b9a,
0xeeb48d291fd2f6c0, 0x4a60af2a44fb8655, 0x10933220c39017b7, 0x0984db572087fd81,
0x48ffca03edc8fb5b, 0xce89021953bedb7e, 0xd8a6eaca6ba02589, 0xdb36f70df6cb3d6d,
0x629c750f1d0a6112, 0xa9652c0d96166ccf, 0xde07a483612f6ad0, 0xc37397912e8d5369,
0xe5680e9b468ba2bc, 0xd68ec53ed29fdd90, 0xfa5186d2ebb35d3b, 0x371f138509a72205,
0x448f17d58d9a6982, 0x67a9ca2c02b63e35, 0x9319abcb6970dfe9, 0xe24b30d965a3bc79,
0x2482990fa14da633, 0xd32c1e4d2a1daa74, 0x0c500f5d0d7a6047, 0x22e47dc2fde5b900,
0x537691218cbcb017, 0x8f41baae4155dee1, 0x5b79955a9ae9f47c, 0xb13d43be52d77579,
0x2f8ac58e8478304d, 0x4e0d3845dc5a057b, 0x346f87cd389f03c7, 0x2a8270467253786a,
0x02d016306f0eb643, 0x665b17110188c8af, 0x0eea6d49bc814866, 0x7634fd52f845a73c,
0x74f041b3b7936198, 0x544e02bca5e4d0ad, 0xbe9d2fc71cbc0b66, 0xf28362e6d6bcdcba,
0x5bbed1a027a90ba8, 0x1b38765f7d10f6a6, 0x7d4bfebb137f62cb, 0xf55eaaadab859e15,
0x53a63d8691512c24, 0x6620bab264cce94a, 0xec8e6cebc0ae96da, 0xa00dfde6d4e760b6,
0xe8e107f176f23eec, 0xee85fcbceef2d99b, 0x5ef324619c9e86ae, 0x035203484036ccdd,
0xa00a56ae95798d88, 0xcdb835a27ba6201c, 0xdb5c2e269d1e7c2c, 0x996be50fa8a6fd2a,
0xc768081deed8c76b, 0x267b83ae8b33a151, 0x280e675bc71b7821, 0x6d250265f629af68,
0x47dc097804b80f1d, 0x338e97fe29ca9612, 0x08b6ab50a563c217, 0xdce0b5fc55bf9a8b,
0x28966b5b58e37c49, 0xbb61f381e6dd08f5, 0x984e1f451694c1f3, 0xb063d92809efab8f,
0xf0cb696ac9cd8d5c, 0x495cead9d9f305df, 0x8542890ccfc7cec9, 0xf8b4ddad6a3470bb,
0x5b9376d2d70f7170, 0x8354fce1357452fd, 0x8f7396213f4940a0, 0xd017f9544ff07e6b,
0xc98e216f4345840e, 0x96ec9d0d96ea2af8, 0x608387188fdaa72c, 0x23223ef5dfae2ae4,
0x821fa908a093f579, 0x994394362025b8d0, 0xe98ccd2b79c3bd28, 0x7da17b7fcb930dd5,
0x1506ad9e4f0b6132, 0x4db8ed055d7acbda, 0xbf9bbe7a83e70b8d, 0x0b1450bf0faf1a79,
0x89635ce3b156569c, 0x790fe7894c11d247, 0x31fb3c25274be716, 0xeeaf58e7aeed9b4b,
0x85756374c2348f61, 0x746960064c140d29, 0xb219fe43d689622c, 0xf6265a1ca4ee2f52,
0xdf309d0b7e38cb72, 0x177e69796db5285f, 0x8236ef5dd31b8858, 0x97d93a73078961a7,
0x5bd23396136788f5, 0x6986739ba20166a2, 0x83eb5c797a59245b, 0xf2d3b7276c17ec65,
0xf8adc62e69e580a8, 0x01cc76f68a24315d, 0x6f610039c8b03937, 0x1b07d2e897508fb4,
0x26bbbfe5719f9184, 0xac3322b6143ddb44, 0x412541cd74ce1df7, 0x6e3c9e65639f0979,
0xc64afda0c2e3cf09, 0x6b5eb4837aef853c, 0xfc91fc6ec0cf4d07, 0xb4435cf79ea6d6e1,
0x8f87aa85856a1ff9, 0x8d5919d0266b42cb, 0x230cd605a3c7f08b, 0x7e65c7d353c3488d,
0x1fd6b143690312de, 0x46da922b22ac95f1, 0x2342b43ade639535, 0xde9c0a1a076883f3,
0x60a1756999d15f5f, 0x0f2cdb7e8901efc0, 0xb4f7ed9cf0046990, 0x5b1201b980a2c72a,
0x0c2ec9f6cdecb1eb, 0x32dbd3b2810c5662, 0x23b753c42668271c, 0xa01640ff8c8739c8,
0x5a9199bb5728092a, 0x25d2ca26d9c53b26, 0x44f2f8284005afa5, 0xa1db4518f574ba86,
0xce859416b8c797e0, 0x1c4715a2147b78b9, 0x2373dfdd54680621, 0xf1334b2aa238c807,
0xfc1447390c542407, 0x93f2cfab65f79aa8, 0x5cb0dbb0b71e1e16, 0x519a51074f2a9f66,
0x46390e30b8513a05, 0x7c3abc675e702bdf, 0x8eafa9b485b7e4c5, 0xcd2fc931d0dcda64,
0xc102d501bb1097a2, 0x8dc78457038ae8ea, 0xb63ca7df30fe9f8d, 0x2d8e4ceb5eda157a,
0x2b77fe5b17d3f27d, 0x2dba3106d8bf046e, 0xb7152efe034ebe33, 0x5c03bf7ece3590f0,
0x00fd93cc6a097947, 0x53eaccaf4fff8f0a, 0xe8b0a7f8d78cc825, 0xb0a23fad2c489566,
0x3e7c2cd6784abe6e, 0xff4c39e245cf6f8a, 0x24a1d91d4f294d1a, 0x136eeb7c6d3b6189,
0x215895ce94547fee, 0x09fe927293b292f0, 0x56e5982ccd4a4293, 0x51e889dff0ee5e43,
0xf7a70d9382e5e41e, 0xd162f758ef9f0e55, 0xd1c13865c279058c, 0x9a9554e1be0d9f1f,
0x99e2672f45e7e545, 0xad5b6d2e1c0e41e3, 0x859961fbb4194557, 0x38ff0c816fae2c6b,
0x2fb6d6c5e82d5a4f, 0x6a0c935043f7b94f, 0xa0a08892ebcec506, 0xd2301ed516ca7a6b,
0xbfadba7ed810b49a, 0xf0ef116416cb6524, 0xd79def8a7e5ea8a2, 0x0233702c2fa37308,
0xdef86fa215c6c23f, 0x887d7cbcbe16969f, 0xf686f8fe0f0aa7c3, 0xde872eccb17a94d9,
0x1d27e081e38efa1c, 0xfe79062cdf55551a, 0x67cc3026b54d63ca, 0x2d301a5b6d848131,
0xa63be877b21e4889, 0x25bfea0452370cc8, 0x194d5916b50260e3, 0xe59ac425deb6a081,
0xfca24476093832f1, 0x303d5d88d7167cf0, 0xa6a30243def4103d, 0xbb10b57795c11dcf,
0xe12e01f0181e6a22, 0x6ea668816ca767db, 0x2f70a589194823ae, 0xf8cd73576c460fb8,
0x7c08658f0e65b5c3, 0xa13248b96e31bc97, 0x2189ad821c3dcc22, 0x7cc1f02d04e36b93,
0x4fe14f7dbc2bb07b, 0xb49daf2f1573c7a3, 0xff90e90c59b8a003, 0xf1060688d2ce4ab7,
0xed13d1e16cb0ba0a, 0x13018d6a51075d3d, 0x784513f3d2b36a95, 0x6aced115f206b8d6,
0xc279e0c9a8971fbc, 0x77c562d116835fd5, 0x094429f005e55b30, 0x7923ddc3cb1c8697,
0xdffc48e089a69fb0, 0x38424f42639d649d, 0x34c7541730be264f, 0xb7fa5db0e79cf118,
0x3adc28a4c6b50c52, 0xce403a6c98e167ca, 0xece839eb995c4f8e, 0xd40200735402aca9,
0x06ea2142714b6ec5, 0xc856c08811220f1e, 0x7c3a980f7e42ae8f, 0x5b48d9dbc4bfc58c,
0x9c7b3294c402e28f, 0xc8f981ad2064dc5e, 0xa965b16e5dbf0e89, 0x3c606d0e5c43b1d4,
0xc7036a98b326d1bf, 0xc03615932c426a1f, 0xb46d6cffdbaadd17, 0x03a92f24d97fed8c,
0x5b82141391dce7ab, 0x94e6c4f4aa30e9f4, 0x2881be22f97b35ae, 0xd697ea2fec9678a3,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x792a5be3393fbf15, 0xe0b9865761cfdf77, 0x74f1c27eeb3cafe4, 0x77d193fef13edcb9,
0xe7f7c64cb420b8f8, 0x030a0480b9843eaf, 0x828c2d9d27fd1ef3, 0x8a354c4212ea5ff9,
0x367fde4141a343ce, 0xb1b932409a6c4f24, 0x204218453911e128, 0x982295afe9c5698b,
0x634c3c14821e578c, 0xa70197b023a501ca, 0xc239f3196849921e, 0xccf6b6247c8b030c,
0x8a55e6d30aaddbc2, 0x005a4fb89dd2bc3f, 0x94fc3fbeebd6421f, 0x058e1021bdf4efc6,
0x5a4191bffe8a18b1, 0xaf49aae1b9b12749, 0xdf9f5622da628b47, 0xca4f5c8da9fe0113,
0x196a842302bd8d72, 0xa971733f5e59afd9, 0x60bf28c68a13a7f6, 0xfb9a88a4e980844e,
0x7b6071e0c7fe4c10, 0x336667a3a939ac53, 0x1a1e64860ca2c93b, 0x019e586a940e4203,
0xd2c212dd676efff5, 0x551ef7906b62c4a7, 0x9b08fc2b5c0082ad, 0x585ec19b057b1eb3,
0x8adba1a7acecac55, 0xa8c55ddfbfd30db6, 0xa1c4de6e4f2e139e, 0x7a00e079abd74ab8,
0x28c5a27849a84e93, 0x34a1a9e85d8f8e3b, 0x4743b46cdd5caff1, 0xc3e8943269df5215,
0x19347096e4ec78e7, 0x901fc8bdf1be1a2b, 0x265337d60231efbc, 0x3962f80e26bbf4cf,
0x63b6168ffcc81ce1, 0x1ceaea2301ed6ea6, 0x72439c1d3f357986, 0x15ee370d88e3e954,
0xc993115de2cd12c7, 0x81a69965df63879a, 0xcc11169db946c0c3, 0x5131033b74dba5de,
0x9abf993c8e6ad907, 0x85a138bab357ab92, 0xc68b86627314f971, 0xdd2568b2cba3ed25,
0xf1bf2d0dc15b5d86, 0x1c814713f0317df3, 0x22b4aa44aa517656, 0xc3a8ae07c6e96382,
0x9ff622fee0b777ab, 0x4e1fad864545ad28, 0xa8b8f6eae7299e95, 0xc0c4e8aa2ab89221,
0xd20536e3402e46ba, 0x89cf88c91ddd525b, 0x88ba3547be633756, 0x2529f82165508a2f,
0x82c757400c8c7cc4, 0xe77f1dc074b4bd23, 0xeacef2cd0997c63c, 0xec63a55e5c9292a8,
0x4f90a50c2721e1a1, 0x95d2d0a27bfb1eaa, 0xb54064fa54bcbfee, 0x1b0d49993081d506,
0x65bcdc0bda212821, 0x3d3d6645ea19bbfe, 0x556df9f4e5d069ef, 0xb72466807e9356ca,
0x54e583aa13b09f97, 0x5e2cd7ba68b3c108, 0x81b8e989240891ce, 0x34388169b8abe0c8,
0xd5dfaff6bbfa901e, 0x8f8ab8d46d369b02, 0x624f47338bae9f15, 0xebb6952f2f0a7c63,
0x416e4e3aadde4bbe, 0x0ca0510fe2e51adc, 0x9a4e23c41756d438, 0x2d1176839c447c20,
0xd4738f69979559cb, 0xbf283beb16b52156, 0x846accc4f6421b01, 0xf17457a6563d219d,
0xb558986701f9e3d4, 0xc98475d74fb28d16, 0x63ed9b34e0c46807, 0xa745e38c0872e61c,
0xa35df7a5b33f8015, 0x3060b130e3860e44, 0x3e8f4dc3af9a745b, 0x8e828ba1e38fc46a,
0x98781b5fbe6f622d, 0x58d563ee175cb474, 0x40cd85d6e5067de6, 0x5d6298c976cbb7d6,
0xfc94dd1d0f6ce428, 0x0c3043df87a15bab, 0xd681746bd5c25bcf, 0xcd24ce56d3596f64,
0xf1bd06e02d0e9ceb, 0xe545e54b912cb0c0, 0x2900d8480070067c, 0x46d082d5514dd43d,
0x9f5e3af1e8537e18, 0x03d409d6def7b57c, 0x7b1bde65687184c1, 0x87eb10f4723bf59d,
0xf5910296449b9958, 0x99889dcacf060582, 0xa89f9d3e0717f631, 0xa093d3be317b0e2b,
0x75e0601112e328a0, 0x662f2d345c75d8a1, 0xa3b620046521d399, 0xa5de5ae77dc1c909,
0x329b7dc8cbf04401, 0x23c8fce90c829d07, 0xdbf52565f371df62, 0x356065754b271424,
0x8fd6f37a8caad9df, 0x19e4404e1649b089, 0x0a102d29053f4f61, 0x4782f4a7d89da380,
0x5963451f926d8232, 0xec7e31d53632c670, 0xad52fa7ae8532254, 0xb470c262133f657f,
0xc56738319f981550, 0x96ced0155a32215c, 0xbc97f0bc658b2fdf, 0xb5fb35271ed5b579,
0xd29c5af1dc76c31d, 0xbf30b0cf615d6441, 0x0f025a659aca9e95, 0x88f871bbb22bb89b,
0x4594185003392d44, 0xe6c6c4ce6df977e9, 0xc39a5d4988fcd5ae, 0xf00ec87a5a8c876d,
0x8381c6f41756d4d9, 0x3dd13c6886cc9bb3, 0x91464f76d4fc060a, 0x6c644fc76a5904b4,
0x6bed83f9ea14d925, 0x0205fb0f34b525c6, 0x8aba7a584326a4b7, 0x3e10f89137a6122f,
0x501f59b670a9089b, 0x0bde45c34be806a0, 0xfc87189ed43208db, 0x0c3faee6871b4b83,
0x750b95d294e7632d, 0xf1b964e35d8725d6, 0xd31d1f69605ce857, 0xcd1e2ace24dcd8da,
0xb63a6e1228de0724, 0x185cb465f56afec0, 0xf788a2900b78a3fd, 0x408a72e89af4d709,
0xbe0107660526154a, 0x33fd09c37aeed3a5, 0x69b8e3b28db955f0, 0xe7fe6175805d39b6,
0x744ed573387233e9, 0xa9b64c3f1dd03508, 0x555e554f5275a4e1, 0x264a25f2b47d8531,
0xcfd168daaa93ef05, 0xf2ab7fa3c2548d06, 0x2910b363ec94787c, 0x7490b54cc0a71d0f,
0x86cb0f8edb515cc2, 0x546b424b3244f3fb, 0x9827b12a810487a3, 0x6b3a8c5cc7369438,
0x5098e4e9a08b43e9, 0xa2c9d97a0df62e7f, 0xf7edad25e0ba0af3, 0xb6ccbe9a060dac60,
0x1242c269f1e3377b, 0xbdbb3ad7ced0c9ff, 0x1f20bed33a58b2bd, 0xac9df63dbd2a3079,
0xf1f092b4c39a5060, 0x00de3784a5b4e862, 0x71a5c5ab598b2ca6, 0x207889e43678018a,
0xd0ffacdbb0e01bb7, 0x6f3839ec5b4e2faf, 0x6681cef892ef4fdc, 0xf8409472b86970e4,
0x733f089c75be1db3, 0x15c8ec1a0e1d4425, 0xb90d8336eec7d477, 0x2f88679bf724f69a,
0x393dad6a5a594020, 0xf7a5a47e66fb2405, 0xc0435cbbaceea75f, 0x117d039d9a3d4785,
0xb01c2724c3228e8a, 0x496d73c43895d565, 0xbd0ebd7b9940322a, 0x9dc10e360f81d9e0,
0x18bfe6cfb20a954e, 0x3898f7eff22f4ec2, 0x27d5697d9c3318e7, 0x3362718a64757ce3,
0x1c17aa35d425211f, 0x3d4eb102f8dbb5c0, 0x5370f062c2ce29b1, 0x6c35621f206772aa,
0x1890c19ba661a97a, 0xfbc5555dd915c174, 0x4f7d1aa6d1e2bbb8, 0x48d8746b4d3fae77,
0x05674759c9577439, 0x411ae1015c834416, 0x74ddd92c372c078c, 0x66b4c2e8025b6717,
0xd2abdfb4b2dc3c05, 0x97c4c47cff7f6bea, 0x5527daa745f9f7b7, 0xae06fc3e501e8f74,
0x9a09d57a50990866, 0x400341924baa225a, 0xec6ad3c98d998ea3, 0x8602b730777be7a4,
0xd29dba2ef3dd512f, 0x78024d3301633aef, 0xbe2d7182e20827b2, 0xfd53b638fce5e131,
0xb98a11d6a3708865, 0x79b0eb4dbb031640, 0xbcfb335a279623ab, 0x70282fe277a29287,
0x31c26534f25a0a39, 0x5dcbc2b5c4539782, 0xa77770a4c8ab538a, 0xf2198b0235a88739,
0x1cb187a3df200e84, 0x86b94097d83529a6, 0xa8ef7448bd6606be, 0x4ea9493a375edfd7,
0x15a8e79e22c7b32d, 0x1438d9c5c646d334, 0xc8ee8e34d502c50f, 0x725bd20c5513807f,
0x89a771b06a17a588, 0x81d69f253f7cc41f, 0xacd884c266118ae4, 0xac1ea70676873cb2,
0xf53e2b46bdbac912, 0x2811ca3ffc0f2762, 0x347fbc3584a7c2d8, 0xb10aed0167070c77,
0x21774d93a59221dc, 0x6ca3f703688715a3, 0x1b68f3c8901c5929, 0x1d612a5823d08c58,
0x6dc729f448d733bc, 0x219a0cb6b62dc9ca, 0x174743aee3a4acd0, 0x192102d9af0582ac,
0xb20d65fe74e071bd, 0xc80067fa723d20a5, 0xfd477cb872a2eb60, 0xbb89aaf1f5a5fc01,
0xf38f8b30ca9239b1, 0x6cba5916fdeb98ee, 0xb0821ad9d933a225, 0x0224ab3e8888843e,
0x65289c6d98b0f63e, 0x71267143d8ee0d25, 0xdbb6f8a171ec4db9, 0x6a2f0d35f357b2e9,
0x1204e970df06dfd3, 0x9fc69d3eb7fd3a3a, 0x8f38fcd11f21bbf9, 0x03998e41e1680480,
0xbc5adbc4ea4d64fc, 0xed0ba739945d975d, 0x43aec39c9034d879, 0xc3c87b57b7380a70,
0x9c26a847af220d5e, 0x026debbfc8339c0e, 0xac4ccf362833b88d, 0x57ea2e7a9e6257d5,
0x96ae792741c41198, 0x0a41bd053faf555d, 0x03057dcd45f5989f, 0x6e29ad8e8621908a,
0x464acd0c7f8e6013, 0xff09fdb95aad8847, 0xf24de6e1b14e662a, 0x7bb480362a048620,
0x4f1b0f5cd1c2f420, 0xa14739ea691d9d39, 0xe3a47a5661af06a2, 0x884e5c09968b73db,
0xcb039370f2fd01db, 0x2cf211e5e8ff73c3, 0xf7a5d728146abb18, 0xb0339f224cadf7cd,
0xea2dae1836e505cf, 0x6fabcae8c21587f8, 0xfe4762ac08d95a90, 0xda8b223411b97906,
0x9815fe14c7344863, 0x00e640578111bf29, 0x9dce2a787b469340, 0x9c1708d1d4807245,
0x5789df7757c8fc4b, 0x82bf90b9efbdcb85, 0x450371f74ed30e07, 0xa96cbc0904ef57cf,
0x5418f4642595fea5, 0xba2ad73beda1dd57, 0x5e1897dde2d931be, 0x33a34bf286a0837f,
0xeb624c80f32b114d, 0x25babbd4e384cbb0, 0x0c969e174ffd302f, 0x9ae901a4e422cafb,
0x120f33461a6b7f6f, 0x83c65381fbc8eaf3, 0x0bfa1f4d3e92b560, 0x7753197713f06a5c,
0x9bc559fe81c2929a, 0xe0c5a2cbbfba70a5, 0x8947e86cbdd63a24, 0xf9c88cf54ab36338,
0x8a2078fdfd503670, 0xef58447b07144c0d, 0x6db09eac9404bf74, 0xef3f869f25aa6157,
0x6dcb7ecf980ac81f, 0xba8bb7200a9fd4cd, 0x8f27e042122a872c, 0x201a58cf928a54f8,
0x57c24e650efa010f, 0xb07e0404e2b4eb33, 0x4ddd78d1d326c7f3, 0xd14f3d5f1fbd8d31,
0x0e69eb6feaaf7446, 0x69fff3611e5c628d, 0xc14a8f37059ba4dc, 0x6f90dd2e1dd9ce7a,
0x7348f1755895acb2, 0x723ed4a77771835e, 0xb45f484755b1d5f5, 0x40ed62ce88931aed,
0xa055750daa5443c2, 0x3984bfd3a991c37a, 0xbbe805d089aafa25, 0x3439f8e8e2c71776,
0xba0782980666aeac, 0x4977c9f40c6e78fe, 0x9da972c822905be2, 0x1cc1b18d076b915c,
0xb7856bc20a4ae79e, 0x979bff99001b926c, 0x403f737b1f0ac586, 0xacd98bd75313b3df,
0x176b12e0e2fdfa15, 0xe1ee26503873ede4, 0x02e9cdc9c4cfc00e, 0xdf1ac0f74aebc19e,
0x4617954a3548184c, 0x3a56c32636515a87, 0xfbbc6d467c6c52c4, 0x7bf994189fc08185,
0x0420c267980145ff, 0xfdb732b176558575, 0x9de563258cf5920f, 0x70da934c2072bfa3,
0x7583c7482a3964d7, 0x8351f2100d77214d, 0xfc94ef3ef611bcf0, 0x85a67d61dd88c32b,
0xd929ac2272f142c3, 0x23c1da0fb5ee7761, 0xadd7c2a83a9913dc, 0x26ae807a691ce8c9,
0x416a9751586ad478, 0x137706ff4a7cd74e, 0xaa06b021f9c833ff, 0x3e2ee67e495cf0d2,
0x73d7dad4f64e8fd1, 0xf28a4eb63a5cf738, 0x873fdd6887dfd1b5, 0xd66166b50b3a1acd,
0x7171093a0e120d60, 0x40a677bc4c8e449e, 0x7c803b1e18a2f89a, 0x0179804ecf68d5f4,
0x4609da3c2e94a440, 0x35beef77eff38005, 0xf603bbd4149d6412, 0x83379cc783993a08,
0x4b702cf005df74d1, 0xd08cbfdd27fcda3d, 0xd602a508ccb7838b, 0x7516a0f1180c3cb6,
0x552153eb74b0eed7, 0x0de4b173a675b6e0, 0xb75ef52f3c4806de, 0x6b8f76dfd899af4e,
0xaa499dc53f7949d6, 0x5a075e1f074be86f, 0xfae74003e5da2050, 0x92df03266178a012,
0x3a88b440b0bff162, 0x5179c690b4959903, 0xb266139aceb7ced5, 0xdea9bbafc141b1d6,
0xf31ec2fee4caaefb, 0xde844ee0b2dc9ba7, 0x433def21ac60cf37, 0x465a246b167d2c78,
0xb1a9cc35902e43de, 0x616e27b872330895, 0x6c53095a1aa979cb, 0x66ecc8bb9777eb31,
0x58eb5c0278f40beb, 0xaefc0ba42dece872, 0x3fd10d81ccbcc40c, 0x39a928ccf43029b0,
0x5867d9b99e40197c, 0x0db3dda0fe350663, 0xf6119ec60c6d4528, 0x035db20219f5dece,
0x4849f57cb5109c05, 0x7c4eb77df64068e0, 0x6f8e8c54959b024a, 0x7478f34c00073e92,
0x55f9c6aee79ec924, 0xd86f5c57e8bc2f2a, 0x364780f78564a476, 0xb861c9defeb445af,
0xf520b7374e565f5e, 0x3b9361b4f75d25cf, 0xeec5df85042f1165, 0x5ecc8ba003b46f2d,
0x70ca0dcbc7cd7deb, 0x2a0300aa20cd62e6, 0x1aab9e0c9c1d711b, 0xd3e2c2f631c3e007,
0xdd0bb7f837109378, 0xa15c2fdde3406ac5, 0x029d65b2df30a5ca, 0x560b234cedf38a39,
0x28bd894abcaad860, 0xd9ebba00e4c1f507, 0x4066224c6137e027, 0xca8efea0f2a41757,
0x13f736c3ce6ee223, 0x32eb49c3adc7affe, 0x44bbfe6d8cfcee4c, 0x568772f3516017a2,
0x1a2b7ee2fc55a5b3, 0xf2faa0e334f215b5, 0x672a1256efa5f7ad, 0xc37f1c0980adced4,
0xefab304836bf0cd8, 0x9c07651241e37c4b, 0xfaa7d20cd5118bae, 0xe0740fe13dea7dc6,
0x006d855f3b3b3d5b, 0xe5bf775c45e5bf14, 0xa1fa93f69f63f73a, 0xa6decd1e6dfb3fa5,
0x2cd325a40f80efdf, 0xf2da15853d106245, 0xc5fabeead66324b7, 0x367670af2f602772,
0x99ce8c9ee55d9f67, 0xa29b8377a708a449, 0x5725d79d73251d6f, 0xe8e3a87cc59fc27e,
0xcd3e6564ac274c48, 0x903121c35eb2e79c, 0xed3af55172ce62b7, 0x36912bb7200a6786,
0x972673c999c66c7f, 0x0be8d1effe4913db, 0x12772004e4e2d758, 0x3ecf707416251f0f,
0x75b61aa1e1607724, 0x0638fbd2ab0197e1, 0x291c3437f6ae0a9b, 0xe42f40b09a7e9098,
0x942d68fb64ebd2f6, 0x79f4240f328aea1d, 0xe2271abf21c8ca41, 0xdb988493b9d94647,
0x3010e4fcb060241d, 0x392efccc80e6626f, 0x12356c871925e6c0, 0x87cad311fabf5ea9,
0x6187c01c2f0d936f, 0x93218ef76ef4c02f, 0xc1e3afd915b7f57e, 0x349fd39bc31f7ecd,
0xacf892ba73e72aea, 0x41b7693b053b4e85, 0xc4d7d05fdcb88520, 0x30ceac370b70032e,
0x09c3a42ff17e9323, 0x5abb94168899583c, 0x63c2a7b1ac98d304, 0x7fab45ae9ebbd230,
0xe9a20b342b533de1, 0xff0b78a96d9e45e1, 0xb10e635514b86b4c, 0x797d048508d79f41,
0xa3c2851a823d9eee, 0x5e9e600e44742c68, 0xc48b5eb4496b7d07, 0xc6de54bee07ee459,
0x670e841a3ed5c5d8, 0x136b1dbd6aa2dee6, 0x841207f83669c6a2, 0xfeb22d3670382bfb,
0x625a34595eaea27a, 0xf9d33e364ccd3bf0, 0x21b7a15b479fd6cd, 0xfd542bdc41ef9490,
0xf9289b21a1e81b26, 0x2c6d4c5db79e044e, 0xaf5bca9d14abcdf5, 0x7a089216ec5faa05,
0x869912803b9325da, 0x5479f0de10affbb0, 0x3ae9004580b298e2, 0x35c632198dda728f,
0x05b7adda436ea05f, 0xa03a405fdab60ed2, 0x8d503c99e54be05b, 0x20fb51191edd8f41,
0x85bd460ea01decff, 0x04a171a73caff07f, 0x10942e7d6a01060b, 0xfae470df3e6b3933,
0x7c282e3c37b2bd21, 0x9eceb6459818f1c8, 0x15733159a986aae9, 0x3607310777a2096e,
0xc710f3a70b383e88, 0x9232b96f5d1c843b, 0x9515e49eebd26506, 0x50d4202cc9727130,
0x30eee28d34cabe3e, 0x4d3efa03b42577d9, 0x37a658c199436070, 0xe41cc51711d503bc,
0x1aae84ae11ef5c70, 0x40be866800e9679f, 0x738860503109f040, 0x600bb48348f44f34,
0xf425c71d465eb5c6, 0x4eb8c8b825a52db6, 0xa92f0aff88ef6efe, 0x5a86fa024076884e,
0xa4d5973e92007bc2, 0xb90a665e1f945346, 0xfaaf0ec1f069c61e, 0x5f8d959c0b7eeb05,
0x20cfc69b225292b6, 0x1335e7fe7fc6457c, 0xcf44c0a7c72ad0c0, 0xd651d1b9c9b311f5,
0x99da781fe9c59376, 0xa54aa656133e17cb, 0x0bb2443bed0206fa, 0xabb5bc811a70127d,
0x1701014d7c741131, 0x6d44b302af7af7f9, 0x09b84696e25a51a7, 0xfcd22d401d0841d1,
0x6a12ac87aab441d2, 0xbb1f95621aa4b759, 0x5285e397155e0a79, 0x23e9acd5c2f645ba,
0xfcd6829f741d02ed, 0x04aedfc15d4bf8af, 0xa219947e9ddb37e7, 0xc521c64c488f5e22,
0x44f32333fb78768f, 0xcf45f1ea1b2d5dcc, 0x5f733c5461ea6495, 0x513aa280e9a3250a,
0xdccf548be26ff5d9, 0x441d8a68d97895bd, 0x4d6ae926e8491cc7, 0x9dc84696f8616d69,
0x2f7bccaa5ae77cd3, 0xb67ddf4468407227, 0xbdcfad269c17411a, 0xfec7600456f5431e,
0x6b6f8581e7f1ce9b, 0x0159e94a7323ed81, 0x50963316ec43e50a, 0xc10c7cea1f522d2f,
0xef1cdff34582be66, 0x8f58b2c2e26e4a3d, 0xcdea67efa5e3ab69, 0xdfc6487811bc457d,
0xbf3f7cc1bf8372a8, 0xf70918badb2cc005, 0x5df94b98a0f0b331, 0x071110572bb1fa5d,
0x01b300c46006e80c, 0x00e8332e34df967b, 0x7540b5d324e7283b, 0xa2f0a88c92475d84,
0xd0f43d473ddfeb5b, 0x835ca1ce2d4a9710, 0xd831fad3b0bbec3e, 0xeaea8d2999cc220f,
0x901bc30f1fd60d4f, 0xa9d5316b3edd1051, 0xf2e4e027030ed6d2, 0xb7c1abe62f043131,
0x36ddc8928918efa7, 0x0dffcc44e3040db9, 0x49551d95539913ae, 0xa2314dbe11a10942,
0x80bc1837eade07d4, 0x8693fd2c9c2f3121, 0xc962bf7a5b11d417, 0x4ab12ed19a30fd71,
0xcfcd528e4534ecd7, 0xc63bea3b74a61f95, 0x41bde433300c8e37, 0xd8f0fb9a41dcf85d,
0xe5640f738c9b911e, 0xedc22ec12c7c5689, 0x0be5dee7031924ed, 0xac2b918c979b0ab5,
0x25cdcbc4dc4fc742, 0xa1297728c0994439, 0x41ce9b07987348e8, 0x65279d0c5f9e9f83,
0xbfa94e7d8d9daee9, 0x1aebcaba315ddb77, 0xe27f0c61a5a7f821, 0x5e84529a66656553,
0x576fe072b4908d39, 0x287bd0d94a22619b, 0x40b0afea313a400f, 0x7573db7c7a527001,
0x0490ca3fffa4fa09, 0x8d61cf0b44bb7bb5, 0x1360552fd37c2d51, 0x2a6437303059cb8b,
0x4e06f056bd4b7a96, 0x52b54e89ccfff423, 0xf5c681d7e8eeaa6e, 0xc00e758523c5c9cd,
0x73060a35282ace8e, 0x42e459745cae0466, 0xcb4fd882dee0a454, 0x5ed2253467ba174d,
0xa2f48e753578f408, 0xb5509e350b5077cb, 0x1cf331fe0b069335, 0x29043d1787072def,
0xd7766b8f3b86c55b, 0xcdcf97de094d6113, 0x2b996a2c5fe13794, 0xcbf4685735b084b1,
0xfea915b08b7d80a9, 0xfe3dc6b26c4bb3ad, 0x613e457b12cbbc19, 0x1053edc8ec3baf27,
0x0d20cd38a32d172f, 0x413fff58a39d85f1, 0xbf8983aece7ab7d3, 0xc21714edf14d5a20,
0x5ecc396bccf20caa, 0x70114d3098ce312b, 0x2fa6913015ee8773, 0xf2f729d15e9417ef,
0x496b2bba954a7e47, 0xa06f058f5e59e136, 0x52c23d0c5998b8af, 0x971debf8bdbe41f6,
0x26a93cdcd8fccdf5, 0xe264a097580af703, 0xf3968c58a3afb70c, 0x312fb8458111f39f,
0x840655c88919cca6, 0x893a69e7134395a3, 0xf63d6131c7408688, 0xc8afa11949cadc11,
0x482736d292d253d1, 0xa8fac85a875204b4, 0xedb848dda88006d7, 0x5d6a399524847de1,
0xda79c4a66d7b2450, 0x6d563a24378367bb, 0x55f7ab36debbaa4c, 0x7755c5b71c997a17,
0x51164b819ddbd662, 0xdfc29c054b7dbe07, 0x1119cd748bdc5969, 0x89e032b3b1420048,
0x4596ffd192e5b27d, 0x5c58f38d8475189a, 0xd13fc40dd9f83257, 0xf45f3432a19fcf87,
0x139c53697c8cfd26, 0x0a5114c8b11505e8, 0x04193e9739554168, 0x48e2afa13477eb16,
0x1f1212b12eb770ef, 0xad8acb505476bc8c, 0xb57fcd541db4da36, 0xcb89801bf3310dee,
0x0d10c1a75d402f6b, 0x617a79563e07372e, 0x337a3d0924eb434b, 0x4cfe6091939821cf,
0xc7ff033ef890e39d, 0x4ecd0ac67a004a17, 0xcc547dac1a8aa6df, 0x88acf1d484c7b4d7,
0x4e40afcd89b244d3, 0x63b7b2741e97c3c8, 0xc7d7730faa310315, 0x58b0a1990a9c59e6,
0xec71c91c25a88b82, 0x37d88341efec2a34, 0x94a47e39da399e26, 0x3a0fa17a4ce13bb5,
0x1000bcc02f387dfe, 0x1d3c4a20002b9a9d, 0x229be278937039a5, 0x2f2304566c56bcfa,
0x45a52c321f0c2d19, 0xe6468d6c0ddc885d, 0xa3e2da81743b188c, 0xa80b6939ed6966b5,
0xfa16593e1289eafb, 0x471bc94e16c5b844, 0x2ef88ce9df53568b, 0xcf10b6899903ee13,
0x93f630a0384248c7, 0x9a53c2755975479e, 0x65afcaac4f5a218f, 0x1d51aef8898f983e,
0x28eca3e946cdd4b4, 0x2f3cb49a9e8c35e0, 0xd2ee833cfc270f26, 0x7701a72d2fd17de1,
0x36253a3fd3af3b67, 0xecb7e6dc26317b05, 0x62c235ce6c4f8c0d, 0x7a22cf865420994b,
0xccfb0e36807e422d, 0x3767477285a9223d, 0x7400338f754a9aa6, 0xad6c63bde8e54f66,
0x3fd5d508c5063bdb, 0xd3f2ab009b190ab2, 0x8323bf00242dc22c, 0xf339c8ade12afb68,
0xe4406d6375d68b49, 0xb31a94a654046d4a, 0x917cf1de6478f3ab, 0x44997551ffd7ccf1,
0xf4c9488c9af2f9bf, 0x15d34cf1e6629471, 0xd95ddefa01fe614c, 0x4239ff0df2fc85d8,
0x9de1c92194b6567f, 0xd870779ff9d2e234, 0xd62fe5150dec8bd4, 0xe81c8dec94ad6d2d,
0x23b00bf02d0c9b2e, 0x90c82027644a61a0, 0x27d1921072bb99af, 0xeb26ecf038b05b5a,
0x12aff77f5462a1cb, 0xd7a416bb141470dd, 0x3cf6359103cd96c8, 0xbe710bcd24b05dda,
0x2d3623e756731212, 0x38c9734a010eab52, 0x894a4229c5da79dd, 0x1805170f7974270a,
0x2e6a2ede8aa49da5, 0xa7cd147823a6d499, 0xf7bae122cf2b36a3, 0x8d7dec8fcc7698b7,
0xfa028c8440085fdc, 0x6481c8fea2b5bd45, 0xa933702eb02556bf, 0xad1972f5b24b24b1,
0x31598d3542bf86a7, 0x23b94d4216412b9d, 0x7571f10f51155261, 0x80513bbf2a16de31,
0xad9b3a508e3262ec, 0x90f9e85f7972290d, 0x162e1eb7ddfbae6f, 0x3e016fe2ea3fd7eb,
0x551a12f98110884d, 0x2d51ccd3109d935d, 0x5892905d36f7ca86, 0x35d9b58b118f6003,
0x5e42a0eec4930b22, 0x1d344afdd1260cfe, 0xd3478b870dcb049b, 0xb8259dfd40b63699,
0xb35f34b47f958ea1, 0xba7be49e99f5d76f, 0x6333679f4b6b7c1c, 0x7cf9a8c739d4c66d,
0x66d4139ca4692cbb, 0x2bc204a32f273b19, 0xc4ad5079c8856721, 0x37174be215e84cb0,
0xed878eb783d0dcd8, 0x1dd282b6e4d5b345, 0x9f6520b2b44b5246, 0x0c207e064ba9c2a0,
0x4afe4aa679334e21, 0x5f07f1ad0cbb7fb6, 0xdb53948dbc83ca46, 0xac7bec8e88d25856,
0x0ee214c18cc2a232, 0xc398e2420880d813, 0xfed4d219d5662f2b, 0x5766ac4c7759e0b6,
0xcb70fbf45e5d58bd, 0x658aa40fd54e4410, 0x1d834f77a399bb9f, 0xe23320a4d732e2be,
0x6b0b43ff40bfd761, 0xa4a19dc4dce24920, 0xb042fcd65dbda5d4, 0x19d252f962a1b194,
0xefd65fb1f0898c76, 0x20f50652431b6703, 0x2d01712ef60b4fdd, 0x54cfa734b4d114b8,
0xb24db30c3bd0d3f6, 0x466410a08feb08c3, 0x09ed3cbc1c667270, 0x24593cf8e8252fb7,
0x70316522afdd7296, 0x59b6fea7cfd1406f, 0x683b9c2e69c832f0, 0xbba7cbb88d2a673f,
0xbce8c82c26cf2b49, 0xa5514d36c4688f69, 0x7ff7ebe9d0a06a3d, 0xb794ab39f020e67b,
0xb91f8058efc6c234, 0x93bd2de63b881d35, 0xfc78fb974f757b77, 0x3f26d29ff80c3242,
0x3625c2e07d45f116, 0x23496d77e07c7fef, 0x239b4ae24e34eb82, 0xa9a87837952fffc7,
0x0cc05f29323fa653, 0x910c46c018ba7e24, 0x19e081de69e3b077, 0x0066a8049737e260,
0xba3bb8dc687d36b6, 0x08db7833c9f5a4fd, 0x0ab69778399a8543, 0x4dd335ca0d884857,
0x331992977d1b4312, 0xb290c39a22670abb, 0x5bffe98bc2a19bee, 0x4c45e812b58ba59c,
0x20783bb0499d51e4, 0x105301259cef9e74, 0x101b003b76db30c9, 0x1099e4bfdb4732f6,
0x4580208e18424dc3, 0x46df5bd3d0a29ace, 0x11790e37347c5205, 0xd8d98b3088cae035,
0x37639436e31aacbd, 0x7688541df7a76f66, 0x6648a134ca5dcb99, 0x8471ce41bd7a2bca,
0x4c1acf423c60372d, 0x019be49c8d197459, 0xc8924c929f4ba11f, 0x6b0d229e52a2e530,
0xf28ffaa65655a3ec, 0xca25a75661740419, 0xefebb1ea014dbac9, 0x29c16b2189d3fcc1,
0xfa28e5462b8a3ff9, 0xdb9f9eca4bf3cbed, 0xae18e3f420a6bda3, 0xe1d9e8ffa0085114,
0xe7267a55e6772f07, 0x74d9d8f458313234, 0x8c60226b74c1f8bc, 0x7ea5e8f6e80e6f4a,
0x5916337d296cb442, 0x79f52744f43a261e, 0x14055babc07fc8be, 0x0637024b051fcc92,
0x2f20672871e15e91, 0x75302d87262b00c3, 0x039c886d0beb53b1, 0xb9853810d1f01e4f,
0xbaf6d7a7fb4b6acf, 0x4b03369eb2decb78, 0xf582ceead56b7c72, 0x2633094a3ae582ac,
0x51ddadc20bae292b, 0xc550c49675b6847f, 0x4b5d305250e1d64c, 0x75491061bab578e8,
0xfdcca577cf27d454, 0x178157a19dbd0faf, 0x156dd88a7a4c30bf, 0xaf3a8b0372625887,
0x38230837f9bc0b22, 0xc7eeead9dc4986ad, 0xe533065a7783734b, 0x1ac07ba902341580,
0xc8163db1286659bd, 0xd73db1fd518f0d7e, 0x4ab55dbcbc4d7824, 0xb6474e0a9e4938c0,
0x9eacc501ec684223, 0x2bf9ac9cf960ff72, 0x71f014d02011a383, 0x2bf8248495fc50f9,
0xd7bdd43a294f7e48, 0x563c4d21e735f1e2, 0x7fe9436218266427, 0x3f5e8196b27b9ea6,
0x0b4c85695dec9982, 0xcfb053cb78173e1d, 0x70638df3cab016b5, 0xfcd6af2d74f00acd,
0x960d6345022fce81, 0xe313188a72694f48, 0xfb479bbb50ac1483, 0x37e14a4c495aa5af,
0x3c7725ac545ace47, 0x5a67d53ea76e32d4, 0x97413b9789724e83, 0x8de4bff41d8545f8,
0x96cc3f7df061f255, 0x59c811915e7acfaa, 0xd8c4bfce03be4f8d, 0x73f721936df4db30,
0x977e57457a53360a, 0x9fdb77372f2297da, 0x3da189f2d017d559, 0x7439e0d25a95c309,
0xc4849ec50666c340, 0xa97dd2b81d1e9ba2, 0xd477750a6dab957b, 0x4136fea9a215d644,
0x9e24392162d63935, 0xe715385ddea9e64c, 0x26e3d0c39904d9d9, 0x364ea3a888b72c0c,
0xbd05f01769e3d4ee, 0x709560f7c0cc8aee, 0x693fbdcdcd442e38, 0xc289cf40edfaacb6,
0xb44e7d3d73a97f29, 0x7f019fb5a7157a2f, 0x595a97170dbc8172, 0x0e248b441525ea08,
0xab022d256d9d8f16, 0x84b849ef17ebec95, 0x33ddf6efe400cb58, 0x7276d1708a3a6a64,
0xd261204edaf26da8, 0x34aa572f1e0c5ce8, 0x3c105d6bbb97fcb2, 0x126a75ec64d62a34,
0x73efd51abe9bf6e1, 0xdfe0decc09a68d22, 0xb665ae663be00db6, 0x0bd941b2a5169b56,
0xaafb73d63425cb24, 0x9a38a218fd040d37, 0x24422a688ede53bf, 0x5d97b208ba4a6e89,
0x239ff5d4e7bcc39e, 0x8583f922e7d2abfa, 0x58596cc27800df33, 0xa7c94ef51c685107,
0x7fa399733e16c966, 0x7ccce7201fee6842, 0x2d4d7affb924e718, 0x4cdcf18eafb5ea97,
0x466bbafeb936ee72, 0xa5469bb30ceae2db, 0x2f5f475b798f6ad6, 0x70454dea1258212a,
0xeb2dd1a9fd510c1c, 0x8677968f4f8adc8b, 0xf56a13d33c8da126, 0x777ea641514d41fc,
0xc72d0861a2489ac6, 0x32ab664f6cc38b10, 0xc1e5349f1c01618a, 0x2e03244a7c81a3cc,
0x38fc845f4520b9d6, 0x02231d6beb030f3e, 0xb0578413be2e2238, 0x8086e6c650ddc376,
0x33cb7bb557c0d3d1, 0x97238fd87c085ac2, 0x7bab220f08dc625f, 0x30fae121d810f5d9,
0x7955ba2f1aa53649, 0x819ba63b8f9e827b, 0x7e49c5a5fdf5ea48, 0x7775d7b7469e4df8,
0x38623df52b0426a1, 0x258d45cd60049fad, 0xf30dee671a41783d, 0x403f2d3c81ef4bc7,
0xff3625739397213a, 0x6e8b92774fbbbc02, 0x448079281b428889, 0xe1e3bab0ae59d357,
0x7653e726b1d2fbe2, 0x2a1b46da95a7b549, 0x98938371b4f5bbb0, 0x8149b9d9e7a207bb,
0xa57556d20e4b2595, 0xd9136d595f8967ca, 0xd46251f42a9bc7c8, 0x1ef78b30c52e1ef6,
0xa9d959ab4f8a81b2, 0xf65b15267326829e, 0x8e4b938861e722af, 0x3ee2f387d87c4a77,
0x594a29dffa2b9ac2, 0xaf6c8aae91412fad, 0x6fe3d5cc3ec3c86c, 0xb9ccb0b9a6c6d6a7,
0xd7e5c8551444fcdf, 0x7247655e2d3ca100, 0x7d6c4e9f986174dd, 0xeb2fedd83093bd6f,
0x354ddcdf78d24546, 0x22571dbf38076678, 0x478ee2f5ea063e60, 0x2d4211a8bc439b64,
0x8bb83ccb377e6e46, 0x47fddfad09b7c24e, 0xb50eb184a254fec3, 0xaec19b6fe6a90c5d,
0x47fa8f18cc359b2d, 0x5d7ef3b866e45943, 0x7d380c3bd2036f81, 0xc8e41d797a4a4d84,
0x0f4763e140d1d1fc, 0x1ac7d11f02aaccf3, 0x2d48a2a7214e1994, 0x8c39759399467538,
0x923513bbe2cba4d1, 0x9eaf1f44053a1f3e, 0x619de0ff829523b0, 0x902be56a99a3ada8,
0x48deb29f06ca1833, 0x562b1bcf0f0b5569, 0xd7f1a206c7393b07, 0x9b0149adf00287f8,
0xa9c1f40a5cb6f6f2, 0xb6ca837ae22b87ae, 0x877b598f5428f038, 0xc432a5c1608f4ba1,
0x8db4e054a77616c5, 0x4b0305dc78fa25a9, 0x9212488e266e5302, 0xd1a7a546897f8245,
0x3c38cf03fd9a730a, 0xad9b61fbb677db68, 0x1a557562c1b0f977, 0x2935f1411ce0c2e6,
0x3ce63691e594bf80, 0x877e7fbb643af06c, 0x6d7de6e2ae198bad, 0x7d3a439018521492,
0x50bb2a88ce7c488f, 0x0f3c36ea786c14d4, 0x911a8e167b0f398a, 0x947d6aac90e7e98e,
0x56eec24cf0201bfc, 0x4d32a501b38c56c5, 0x5f8258ff9f7d414b, 0x87d52946981007db,
0x4ddd9fca3646298f, 0x1f32e5bfbe43525e, 0x586dfbdac515d632, 0x497fe51fb3e29b41,
0x99cdc3883e379bfc, 0x5ebb1e01559cad1c, 0xfa4bbdcee14b3c6e, 0x12e79e767e70a0eb,
0x23c1ab042d3dcf1f, 0xb0e9d9fd63dc8759, 0x4195819fc7174c94, 0xe9277234771e7974,
0xde0d54fc77cdc39c, 0x137e272f37555118, 0xadfa2950ee023a52, 0x9b71a88a1f32a8e6,
0x57c749199e7d7a98, 0x13432a90c4889c20, 0xc88a948357d76dcb, 0x4decf5c94f318ab0,
0xfa5a9b080436bbb6, 0x92144c858477bc73, 0xc341081b6c58756e, 0x8a3dc11833bf16c0,
0x8888035dd5187bf1, 0x73c10e56adda9c39, 0x19a4c4f3201f4776, 0x7014dd6af67c0409,
0x4b8b78888ca93fb4, 0xe5381d091064827f, 0xb5995b7b99a6dc90, 0xfb510e757bb184db,
0xed1765509ba9b4fa, 0x170fa3d0391e027a, 0x84ebed95b81db988, 0xdeb7ec4ce3fa9da1,
0xb740b741bcf48059, 0xb9afe962ddf86e97, 0x08d0606647cef9d2, 0xc9373f474bb7c230,
0x78c5459b5776f32f, 0xeee613071f0189a0, 0x659d276358fc742c, 0x6d3e05b11982c745,
0xdb959e87f32a4393, 0x2d38d2108238420c, 0x84ab5f42a4ba0842, 0x9a31294a7aa93c6b,
0x759bb6117961b904, 0x97a525ef2da76afd, 0x1ef794ff4bb9dd8e, 0xa9deb0126cfef6f2,
0x088a9bf2850843c0, 0xcea9028ad614e03b, 0x63c1ffb902559a3f, 0x358a2bf95dc1ad7c,
0x195cdac4483cf26a, 0x74d03ad14d08c779, 0x927eea93628cd93d, 0x0ab24cefb8416397,
0x3925ddb00b01a956, 0xee194861e1c34254, 0xe4289f66a6161cb4, 0x2dc9753a205c7efa,
0x4244fe30f75fef5a, 0x8a4cbc58db61e665, 0xd146908a91fd8d48, 0x84e846a8efcfb334,
0x1a5066a5790ecb2c, 0x590e03e7c207daa0, 0xb35b496a69f28674, 0x0d77efba2adb71a0,
0x38fd010b04b85772, 0x7c5b3564191b4015, 0xc5910e002bd46b08, 0x44bb465e23acc0e8,
0xcad1956b8514244a, 0xd99b7ed45e60b1b7, 0x6cf2ba5e20d729f4, 0xb417a5f8c5a21e70,
0x5012dd4b7a08b14c, 0xabd8aff2da3477e5, 0x1c597348d3c6ec74, 0x30a46a5e50aea3a4,
0x611fd119f597dc8d, 0x36548eeb250d1b68, 0x422dac6b2a00dbca, 0xcb647a9bcb2f7b7e,
0x82593fb8da9cbb65, 0xdd99e4963f8301f2, 0xaf52f0a51309d203, 0x7cc796c8d48e06d2,
0xa5d639bf24c2b009, 0x7259096214add330, 0x58679d11851eb054, 0x892b4ca53deb3d85,
0x7db3fb8e9f84225f, 0x38afb949519f5208, 0x3fd0d0dccbd84b6b, 0xf6e3db08c23a093f,
0x18b34b6aa3fe697e, 0x5b81323e71a232b0, 0x43018335da66f719, 0xea096df8ee0b1688,
0xfb257c61574231c8, 0x229a91db450d136d, 0xf439c110d39067c9, 0x96888c7e428d8e50,
0x555350702bcd0399, 0x63b816d705c22daf, 0x16bc96882d9ed236, 0x30369d6cf925fe42,
0xbca7625d194733e7, 0xc335b97d3412e382, 0xd05d5c74d1b2448c, 0x4fe7d745c0cbf733,
0xac97e8f750f93358, 0x98d5b2e049468da8, 0x310f0aec1a8a5842, 0x5cd712c67763aae0,
0xee44f47193c30854, 0x3e371e52ddb061aa, 0x0db07791481cb284, 0xfe23dced2d0734d2,
0xdc78b9aa596edac1, 0x717030751920baf1, 0xb10a4e2548d501bd, 0x0a4f71e62ddfac9b,
0xb68929a8e682a2c6, 0x65169f13afb46301, 0x5a4f06d460f3182b, 0x79802586e381dd14,
0xcd59d4a5272111b9, 0xd23ceee18802b114, 0xf1869d9f3f049c42, 0x0f7071e1ad897aab,
0x6e660c265d0c9644, 0x7184155335abd2ba, 0x543fca9d24b12c57, 0xa51236596076fd40,
0x43816ac63e845bad, 0x077b587e1be4fca3, 0x1bf5cd942845635e, 0xa63e4bca16b21fc1,
0x2953c3becf8319db, 0xfb349d9734fafc78, 0x607e7f50b49fc991, 0x22f300f1e6f20c8e,
0x7262bcb4c79f4e40, 0x8c573f4d886e4fa9, 0x842c39c8db28dc60, 0xf5c98d25d044aaa7,
0xdc7826d20e0c6bd8, 0xf35247d871518d00, 0xc984d6910cf5bfa2, 0x7a93c257644794c6,
0x109c840e054ccd3d, 0xa6c19534a17e622a, 0x22271c8fb932f752, 0x63c6bd6204885477,
0x10b8953ed6495d58, 0x8073c5b4654efd81, 0x4feacae32782a6b8, 0x95840c9a6ed9b184,
0x381fb3d43f4ed0ef, 0xec6fdbfcff7ded2d, 0x57796a5fc76c7e94, 0x9d286b06447dc5cc,
0xb461c20f63281420, 0x356decd7b1eefc90, 0xfc685a1973bea82c, 0x1f4f66a1f92db9d0,
0x0de37497ea9ed84a, 0x0032bfd65ec1af2d, 0x69ae22dbd430c1cd, 0xdad0ac4473c35221,
0xa3f8eba0679fce53, 0x39a0db8660e2540d, 0xe66dbe85cef1a586, 0xeb76bec1aa51d2c0,
0x03d5f123895faaa5, 0xdd91ec237dfab1b9, 0x5ff6ddf7c4309b97, 0xf9462910805938b4,
0x0833726aca825fff, 0x3918c87b448ecc12, 0xe56c608a3f70b6f2, 0x2934c13017b6741c,
0x46dacc829c21d200, 0xd59b7421625c37bc, 0x54f796879abaac32, 0x267bfd6304cef715,
0x7eff8fa9f5ff3f14, 0xd97c7baceabef25b, 0x4171fa90052e6e56, 0xd321045ed87bf73c,
0x60964aac050e34ea, 0x40002e37a804e424, 0x8f4e45b783d81878, 0x0af889152a8ae971,
0x41231e9b47e6ef6d, 0xa5e31d99d2d07356, 0x2e2de4fee18d3b86, 0x159a89fc6aeaa484,
0x96b1eacbd235697d, 0x92ba2184f4e5633d, 0xd67f5bd2cfcefe44, 0x27dad1c390521a38,
0x7b0a6ac50ab57e3a, 0x6efe970fe3367c9f, 0x231a9ec699a005ee, 0xc34ff828b1b74d2e,
0xe2b3d3c48014d757, 0x5251e197c578e46c, 0xdeb6854b9a85d771, 0xb6a98be254f71692,
0x9a46e9e6624622f1, 0x2c7ffa7fa7235840, 0x22189f63430a823a, 0x7ff2f0c858142bd2,
0x52795ff1c9ae17a4, 0xde4d942498e8b7e3, 0x7cb5d7f2e10328a3, 0xa448bbf7a8c17e20,
0x577f6499b4d99223, 0x8ddef7b509722845, 0xfe970766acebc55a, 0xd3d622c47f53ac74,
0xf2f3b22a941de355, 0x60fec70eae26e7b3, 0xd017249e9bf75f04, 0xe6e426f869da0739,
0x48588906f7550fbd, 0x0e829fd415a607fa, 0xac5b9e7c3599a169, 0x6b1e1a8ba0266fe7,
0xb4ace964d53428a0, 0x517725d126e5807b, 0x24217384bf9b084f, 0xb6585a398eb35b63,
0xc1a494229d7443e8, 0x202a99a9c128690d, 0xfcf687d6e4b5a7df, 0x829d695f9ba0370c,
0x89dc3320d97881d4, 0xc4c0f07d3dde7cc7, 0x664dbfe261e2f7d2, 0xc77c3359e6fabc99,
0x59c87221ec4b70af, 0x6d20a2a081179676, 0xc0cafb53ccf7010a, 0xaa3c8bfe0bcabfa4,
0x88325d6fb2ba544c, 0x9602e7cc414ab3e9, 0x539ffd34092e6235, 0x776cd67c51086b39,
0xe6655d77e766e148, 0x13a493d95c65e0ae, 0x6aa14a331ddad59f, 0x9cffa275d139a1ca,
0x931a6ff692076c59, 0x85858d2fd38bd488, 0x6978c30e7b3f6652, 0xbbc28742427aa515,
0x61a92082b746a311, 0xd7630334b1faee13, 0x15b0dd5757328db8, 0x6e2d125fd75dd9a2,
0xb6f27d8f4ece315c, 0x4de1179c87d4be5c, 0xf7b7b6d9729a5290, 0xe3b72cf98b54eab8,
0xf5792b1aa4f0bf17, 0xdc417492e857d9ff, 0x0dccc6bfadf01a80, 0x945089bf7e52e868,
0xf1699d463708ba66, 0x462828cdb34f7f9b, 0xa7f3f6d54f9da920, 0x9516d46027b10b7a,
0x0c343c167b23c251, 0xb2b25554824f047c, 0xdd2c9a586c2f5700, 0xed37c196863c0e66,
0xf3df16be4b01e2c8, 0x4e9f7ecdba2a0bb9, 0x33bfb23aae06f6d8, 0x760da13793f070a4,
0x92e44999e44d03bf, 0xa605acbdc8d7ad02, 0xfa53e64d37c60cc8, 0xf76bb437943a7bc2,
0xb972e28772ecd402, 0x2d625234ee5134d1, 0x6f4b87dc99da7215, 0x448be09396b62fa5,
0x954664682fd59fc5, 0x5b03b21b757379b1, 0x9f739037c7aa3e6e, 0xe90a023124a98984,
0x0bbde3d156a43996, 0x85d1ded0be7d162c, 0x2c9216200c5b00f4, 0xae6406805e321870,
0xe78daea854b0d13f, 0xea25f39a5b725d9c, 0x055356c6798b8d0c, 0x6b01174bf52067bf,
0x8038aa92356b6d14, 0xb6c6ba0490c5a63a, 0x1f7ebadcd62fcf3c, 0xd6481b149292ded2,
0xfee875dc89e3ab02, 0x3d57b40b96605d1d, 0x3d1e2d9602493ec4, 0x89219d8125302a55,
0x4279050826315794, 0xb02ea5e07dbdc1ea, 0x572d131a9d665606, 0x14c8f48391d0cea1,
0xe8f65053a14ce2d3, 0xd9f61297aff37b4d, 0xf9cd776f49e66bcf, 0xb3630a4a6bb6f7f2,
0xedf103058e3a76a4, 0xe9403a87f39f53dc, 0xf388ce92578d5628, 0x465269d3e2895e4c,
0x6af59126ad0c7da5, 0xa6a3c5527f6e09f6, 0x9bfcab1fe6bf6601, 0xdd3ca3f09e316163,
0x8895728d793ed552, 0x45907c854d71696b, 0x1fa5d614a0ff6f74, 0xb62fb03767c55559,
0x5e2b3542d1ed06ea, 0x157c3ac5db1402a8, 0x88d09ac5e273e713, 0x6eb1c607e8543897,
0x90debc4f18e30a79, 0x5ad3c56e41faf60e, 0xe92c9aaf5613fd5f, 0x33ae596e32b44bd6,
0x9979ad97ab7dbf19, 0x4d47774832371f86, 0x764b1303b22f2c33, 0x7128fce519ee9fae,
0x66c9315be04bdf86, 0x7f396bf9f8e5efa8, 0xfb7fbc7eeb95f502, 0xf569adb7a0bbf8cc,
0x8b9856f857da722f, 0x1fb7d853c11d173f, 0xcd87963c2812cc60, 0x368d46b904938350,
0x16f2b878508018bd, 0xd4da93c75c5869ef, 0x21907b6dd35fd4b2, 0x55eb2b110606cf22,
0x5d5566a4ad062fe9, 0x2935900c18fcd04b, 0x99675186bce59985, 0xd92636f5c3993761,
0x465349f35aa91d60, 0x36658fb924bf562a, 0x2fa8c4d10174fa33, 0x58e81d740af9b668,
0x9eb22bc86105853c, 0xb0e6562de4c2bc54, 0xf22b18eddf7d693a, 0x99a6b2ed95f8cfa9,
0x0f77f7dc54c621db, 0xe163c5b6b6f6e9fa, 0x0e8407c6200e8057, 0xe0636f65210bf612,
0xa6a531974d2ef38d, 0x7ac625c1900637a9, 0x5d6f50fa441a4eba, 0x56e3fa04b376e81a,
0xd529cab6ff052116, 0xa2410a8d55d52e63, 0x89cce8bdd7d913a0, 0xab83a42e920f3118,
0x726a290583bd52f4, 0x458a6ffd5aa93586, 0xbfc833f8ff9e5346, 0x02448958cb4a80de,
0xdf4e6514e5a47e7f, 0x8436d0a14d535684, 0xbac66d7caef7b742, 0xfe05435deceaa1b5,
0xd46a06eebcb1271b, 0x26e2b1c43bdf70b5, 0xd21bc8970ac3f78d, 0x2fc2e87e2652b6f0,
0x3d541feea4f3c37e, 0x6597dbce0fe5017f, 0xc14356e3cd683463, 0x5eeabb4e0bf06531,
0xd3ef32e1fb3863e5, 0x535aa592799d1c2d, 0x25c6117f070fbf7c, 0xafd562f0ec083a93,
0xd82ed1052b6be71c, 0x16523ea0b84192e7, 0x602e4df312c83d77, 0xe83945956a725ff6,
0x13d069d03fb838ec, 0xe6890493587b3223, 0x38c03f8a7daa4ec2, 0x11810327727eea14,
0x90960451669cb4c1, 0x203611f635ce8605, 0x7a7e4d3729b3472c, 0xb469151de6b06827,
0x6c48e3dca113edba, 0x94e41904361e617f, 0x1c940d6cb53c9dd1, 0x53a2a79942c9a5d2,
0xa701005af1cecce2, 0xb023225aa000dd67, 0xefb8fa80d4e56be1, 0xea711747a3296e59,
0xef4b72273bdcb1c4, 0x2f11b9531b1dd48a, 0x6f1d50da2a886b00, 0xb76e66ab68fb62d3,
0x4cf7b7f20b3be2ab, 0x7af89c632536cbb4, 0x8c6ddab9cc768fce, 0x8dbb25f39e853ad7,
0x9f61f001d8752bc8, 0x45600fb62a84d5f7, 0x059e518519667daa, 0x03aa45ef487f47a4,
0xcd7d7c26565e7c62, 0xaefc4710009d0b91, 0x3d834a4b9c163724, 0xc2c918e604cc7f22,
0x34f698a1e485f914, 0x5adcd39cd57586c7, 0xe12719b6417793bf, 0x04c54843f1eee7d8,
0x78ba564029811d09, 0xfebbf8e744128e12, 0x237581da8befd07f, 0xb8db2cd56ffbf7a4,
0x9ef23b855c418ee6, 0x778ad16200b96964, 0xb0f025cfc0d29d99, 0x27c8ef3baccc72c4,
0x47f2ec25f5694c2c, 0x470d423e2b4d3a5a, 0x31aa34086feb4d20, 0x2ba8f70b5a7cde0f,
0x24d5bed193bb5804, 0x97e255875cc6fc96, 0xa39a11689f53e6a5, 0xeaec8f074b446e38,
0x01dfa0bb63a47dcb, 0x554e4d97c16056cc, 0x9398e033cad1e541, 0x7b6c9e91f3505a8c,
0x7221929702c918d8, 0xcf55d6b2c67dfbb1, 0x5fe70d9f976c42ab, 0xa9bed7579e53e838,
0x01bd507aa62a5150, 0x22fca3664b738d20, 0x82a177f82ab647bb, 0x7acb24f9b81467f4,
0x76461ac9fd7062de, 0x8cae3e4d405f2667, 0xf4ec19941ca53059, 0x20b9ffe98b069d12,
0xacee7b4b14698acf, 0x9ea4b771af9c2434, 0xeed4289f8cdd9d91, 0xdd5af37c0b24933a,
0x716c7d63f3a245da, 0xd60dc72ef03b6af1, 0x11a03aa697f51046, 0x0deb14b8a77f9302,
0x49b0c4d9f3c947e8, 0x5cfb4cefe4f57a22, 0x76d73bf35a6b8ff1, 0xa160c2051e99f0f6,
0x3b21dd766e08b65c, 0x00db515e5e2024ea, 0x4c0a74cf778db7b8, 0xf788618cb5ca9fac,
0x628592d29adaa08f, 0xe7d21d3ca609be64, 0x2e5810fbbe92bb7a, 0xbcb12db2d5d1e1cd,
0x1cc43e73d2b187dc, 0x16b60137230718ca, 0x5372c482d4006d2d, 0x665ef7a68024eb6a,
0x5b0640fbcfb7ef42, 0x80540eab79334bbc, 0x16ff780efbf5d5a2, 0xf435ea0550d41c31,
0xfa76e549aacfe33f, 0x1ea145f989db7619, 0xda05b32bab591245, 0x7bb60ca102cc1918,
0x4abaf1ce5d54c228, 0x296fc9cd89081bc2, 0x406888647cc4fd14, 0xb6b0bc88f4b1642c,
0x7a02cb09e012a150, 0x44db20f60c122a86, 0x256d5e15de92fdc7, 0x8efccf0a27382f30,
0xb695c381f35e2d76, 0xb27915f54884799e, 0x5dd7a5bea1ed239d, 0x9117ec76c92a112d,
0xec2b905b46f17e30, 0xe623e5887a9a07e4, 0x7cb8ae38be23ec7c, 0xa4191903410fdb61,
0x08e7d13df6e510c5, 0x32d97aa4607f3a0a, 0xe61deace59d38e52, 0xbdd8bea09b2f3255,
0x415e95012eb83720, 0xeff10b9b2abe83c2, 0x699752f6cff1d303, 0x2439144dbd55a943,
0x6c942fb25d75033d, 0xacc7ffa0352e0a48, 0xcacae9ddcb5877b4, 0x0a76c550cbe0cd52,
0x889719362db67195, 0xb101bdd3a00b9de4, 0x31c48242850c2189, 0xb8cedbc72c88b894,
0x4e465d5fd48ee749, 0xd766f805de5406f2, 0x7ed1021cc3976f2f, 0xa338d0c156883be1,
0xdf521f5f24c6dd7d, 0xc1eeed65ef39a242, 0xc02631eebc5c96a6, 0x9cc1fbfd628e1829,
0x7d73216ba0699361, 0x2540317d7b66fb29, 0x63a054452be49dca, 0x7d73742ae0848e88,
0xb30c2497e6193a12, 0x2682980472f836d7, 0x4305ec0a00594e45, 0x3c8fffd1c0ef0c22,
0x5e8be6dad5b64fbb, 0xf5ea60f4d282d001, 0x6e9e672773fc023f, 0xe9d74708e6696640,
0x719f1c395cb08fd3, 0x4e062755f9935277, 0xd58ba0f178758de1, 0xe57887a691e40a3c,
0x4b6d403d2510a226, 0x6f37aef02045c5a1, 0x008f63675158b1e5, 0x56e0067421054218,
0xe31c514f72f684b1, 0xbdf6cc0f01470680, 0x67bc87bad09c83b3, 0x22075b949dd1d88b,
0x86d9a9b0b96deab6, 0x17aeeb734d4eb78a, 0xca242e09e738ae5e, 0x900b79ec6294c63d,
0x69672c4b972f1817, 0x1a5af20f146ddccc, 0xc2e57d514f17862f, 0xf73624d6efe17e2c,
0x39430990b4d91983, 0x8b64914dadc0c619, 0x7b8c0544391d2f06, 0xe1e31fc32cde6027,
0x3f17f49563b47ae2, 0xfb5ee4b36c079387, 0x4e5f836b96ee8618, 0x6483f553d7099c60,
0x16a3525fd0bd9f5d, 0x11ae2d4141cd7181, 0x4d467dd4036243f8, 0x25382f4820103be7,
0x04aad65be4933b78, 0xe7c4ed8ae9f5134c, 0x5d017877021c10a5, 0xa79be1811cb4de61,
0x3e9df7054ad3831d, 0x0caace50fd8e5877, 0xda73ea1f41dc74e1, 0xbf5836056520acb7,
0x7865e3b0301cdaf4, 0xc0deeb305d874491, 0x606a0ca63031e753, 0xf2a54ed007cbe026,
0x73779695ebb09152, 0x30fbcf0a4283276b, 0x1e75eb46e4a3f640, 0x50c44ab9a1985f6e,
0xe8e2fc4184069369, 0x7013d4094a8ce4b8, 0x3f8be01df01c8f56, 0x63cb13d88cd1c779,
0xb66264ded853d752, 0xb31b29a495ca0c92, 0xb00df6192087df6e, 0xa281d1211faa8302,
0xcb0747c65238201a, 0x03f13733287a1c13, 0x5b9a642b7f60396c, 0xcb5269137d2a7744,
0x0bc1ce8eb3f7817e, 0xe9412aa2690b4a93, 0x9c7b6c344f263961, 0xff2f8074abeb6cd1,
0xd906fb25cfc7c808, 0xe102fad0dd9c736d, 0xcce6097bbe848931, 0x9a549d00790a3373,
0xd5ac5bb214d477f0, 0xd0e8919415015b0d, 0x37c6bd1b388568fa, 0x87aa0ffc80e394ad,
0x18fa904f2183f17d, 0x7d3bf175b8289f47, 0xeed05c40748909b0, 0x36266c65ea9acaba,
0x2dfe6d37337e1551, 0x926aee4b432ed24d, 0x5e47ed4d9dd318ed, 0x57f0130f81eff66e,
0xad8258aebf497eb8, 0x48bd25078aa02f04, 0xea88eb9d81e10833, 0xaa17e2454f43d389,
0x03a46df0fd92a69b, 0x01f32bbae2669e22, 0x5ad580a747cd4b55, 0x6058ecda453f6da8,
0x0cbbd0556fb8a40a, 0xd91df481ba22ef1a, 0x88fca89aaf45bb32, 0x1fa12d9bf4141464,
0x553159310c51bda2, 0x64906c434627252a, 0xf2d2be89f02099fa, 0x964e47a4c77e6556,
0xbcbec19714595b28, 0x539ba6f42dad5062, 0x96fac67913e63c90, 0x83e9484efaeeda9a,
0xfcaf061f65942e48, 0xa9b0a9ff9ae385dc, 0xb79dfce6f8238592, 0x14e3dbcfc512ce7b,
0xd80468e0229cb23c, 0xddce88d71254c4d2, 0xf643e0d9422ac9d0, 0xe2810d05403fb092,
0x2a358c9a491aa767, 0xc750c0db3b17e90d, 0x7d69bd6c310e3fb3, 0x84a186b2c6b13b1a,
0x0f272a11bb195b36, 0x52473d0ca1fecf98, 0xd7e70d382e5dd11d, 0x608da68150d4e38c,
0xb826eb9cf77f4544, 0xd7b9e81d43cba77b, 0x08aba5637422b57f, 0xb9dc3d8ce71a6116,
0x3fc1d04e66ac073c, 0x6b4c0fe82bdf31d2, 0x25245b5d00f6ae8f, 0xee3c6d2b6de42506,
0x9e20b5935d612b40, 0x65a2239589a359ba, 0x243862218db0c132, 0xb3cbda169a4f2560,
0xd868a40fea9dbf25, 0x59537872a368d366, 0xe3682a3e0bd0fe11, 0x694f50065b928de2,
0x0180ae2c81389703, 0xd883adf457e692a1, 0xf50876b2c4c9a1d4, 0x70c2464bd9f73a30,
0x0fcd96cdd2434f6c, 0xf2d9a073dcd75110, 0xd62984d6739c8f0d, 0x18a15515603509d7,
0x6c80c5f8abc713df, 0x9ab2917c05261cb1, 0xe797726444b2e9d1, 0x3d3bb63e1384c325,
0xf53b3051901ee282, 0xe871771f78c33328, 0xdca7d82c4157a494, 0x026948364812b649,
0xf761ba1b501366e2, 0xa470e09eab50a6b9, 0xf340e2b7f59adf5b, 0xcfc2f6931971b38c,
0x666bafc230cf07ae, 0xa702c163e23dfc7e, 0xcc5560d0113157e9, 0xc840191bead63b3f,
0x5c1c0c85be00f20b, 0xe7a01c32bb80bc0f, 0x72a14c9f01863b05, 0x86bbe6b6933313f3,
0xf432861d49913adf, 0x8cd7df8a3545dc79, 0xa705374c617f236f, 0x289459878d34e42c,
0x89075ecc0513405c, 0x5f1b994f544cc725, 0x97777064cf006d7b, 0xb21c55fed3c331df,
0x9bf7c774d6d205ce, 0x70c6ac11d30c8d60, 0xa6f75076c3befcc7, 0xea10f55bbba6046c,
0x14493f2043d6b71e, 0x6f8a5e31147870a2, 0xcdbb9084579014b0, 0x3581034700c347ad,
0x694c3336c5cc1ef8, 0x06383bb7b56c3c53, 0x2fb979d1bf93a2a1, 0x07f9493af6990c65,
0x283c2fd2fd2b30ba, 0xb1fd6466fef48699, 0x96f85d1f7af606ba, 0xc43115f321ca5eff,
0x9e79c155ded2afa4, 0xdeccd382f063730e, 0x74f7a752e25ab419, 0x783a86a0e2d84dfe,
0x0a3d9dbf5c42bda1, 0xd9fceaee360847b2, 0x5f7b4d21e0858c13, 0xd214cf14399ea948,
0xc28c589e31388e3f, 0x626a27c3d7587430, 0x5c555b03ff8ff699, 0x3d062a1ebadafed3,
0x400efd1032187b8f, 0x9b74150fa004ac7f, 0x7f9ef9ef8851c3a3, 0x26a5dd7a22bdaaea,
0x31d33df9074f03bb, 0xa02cbb077c7a9672, 0x68f3178a5157aebc, 0x4a57132fbfb7ef24,
0x3cf263f1ba232bec, 0xdfb40cf2e6e7d252, 0x9834b9ecd8eac612, 0x105c09695215cacd,
0x69d31e2bfbe6edf5, 0x27f4a28cdf40d6d5, 0x66dfa27d9e0b394d, 0xa2d0bf6e8d09cb3b,
0x084e66bb5a4f69b4, 0x4c37de99f0c0cd00, 0xaa64cf6a8b188876, 0x716d7c852cab6b5f,
0x99b8bb5b5f2e6bc1, 0x2f5f74985880f613, 0xf94612f1e743418c, 0xb9449cf3d9a9ea11,
0xdd2447eb385ce8da, 0x1408dbf66bde6567, 0xbf708386fa5dbe37, 0x52e793c08ebc76e3,
0x519d9f4c3d0e310e, 0x2a4ecb10ac2b04c8, 0x6f8e19c2d57a34b8, 0x3bd02f65bdac6b1e,
0x9729ad60865b3d8b, 0xa444c0770dc2d599, 0x234c4f2ec29d26a4, 0x7a3040be1d17ca4f,
0x1ee96841ec8240b7, 0xf0240b6ecc33a501, 0x355800a9a2c90832, 0x8e33565022ffd441,
0x82433d3e2514768f, 0x60e2a5753349e7d6, 0xdc0841e8a4089800, 0xd86c8a45a30dd6ee,
0x4b489c3decf4e1fd, 0x08acfd2cee31c580, 0x51a37c7ea8c14013, 0x71a2defe4e8da738,
0x2545cabc960550a0, 0xe548a32519d70da8, 0x757203a8f4d75521, 0x271c2866bd8be26a,
0x7a2da670931a4f58, 0xf5eed822dbd791ef, 0xe1166fb06b0f28e9, 0x0bd949d87b079069,
0x28204e86e655c41c, 0x258a3c6f1673203b, 0x1e59e86d04380244, 0xde1a3a599931170e,
0x92a01b8fd8e1267e, 0x560eddfa3837f984, 0x521f9b0440e9ba83, 0x813efbb701470505,
0x8dde80906da578f6, 0xbc0a5fa235181fb0, 0x4f8ee4381a7a273c, 0x0ef7100c1fe9d2ec,
0xf063e2a2f889afd2, 0x01edd5cc0d3cab72, 0x570bdd2ac22923f6, 0x613686f7c659a6bb,
0x987052e905889d2a, 0xfe72524e7544dcc7, 0xa4b222bc12c656a2, 0x743bcd539dd0c232,
0x6b883b6ec2443f30, 0xe638217862a2cfdd, 0x53a6f188b1616900, 0xfa901cb976d9f9b2,
0x1365db124de8da01, 0x60a7d81f9b91aa83, 0x6e1e066cbb9137d0, 0xc0844ce514ac77c5,
0xd214bb381e11217a, 0xdb601f662399f610, 0x1fd0160454fdf365, 0xa409ce9dcf7466d4,
0x0f6632058ee58c94, 0xfa1aa4c0fcbbc5d6, 0x2256ac40d8755bee, 0xe9cbf1cc56bd76d4,
0x87059414203c36f8, 0xd84ab79422e2288a, 0x74c81d6c8430cfac, 0x3d4f7ce973d3dc57,
0xe098257b700b1964, 0x0ee9a1f5c03c3fdc, 0x3d48ee56902a14b7, 0xa0264fec88ae359c,
0xbfb9fb5855ebf9b1, 0x44aa0714d94a6a0a, 0x580a06fa8ea19f0c, 0x269ee7ddec1a0f89,
0x0daaf7a44494b10a, 0x2703eb785b7fc1cc, 0x45b1e5a01c5e9e3c, 0x1a2e53db41f4b4ba,
0x706e08a93f73b6b3, 0x2cf6771c1d66f31b, 0x4bc96ebe0a7ae002, 0x83df17b4341f25ce,
0x41480229c590355e, 0xd802f520fcc7c8c6, 0xfad5b6cec14e9cb6, 0xb1d40ec2370c8a21,
0x828273b5b2d9763f, 0xa9f818ce69f355a3, 0xa96dae508268e86a, 0x508b13a181d39274,
0x42eb7ce556563780, 0x0a283934c9125808, 0xe85ed6ce1d904def, 0xc376ba3d26c7f3f9,
0x9930c4713ef83913, 0x62d98be760c25c1f, 0x2ce24044ba9b4fbd, 0x758f1cf816a7848e,
0xdc705606f2ec2705, 0x3de9078f6124874f, 0x9b020ebf2ec0f8e7, 0xd9986570b7f1c60a,
0x17cd3e6303bd4857, 0x7504ac42f974647c, 0x4ebfd2efa9a3c920, 0x68d58c9e02872b03,
0xa8e0fcfbfd2f6a42, 0x5e8bcbaf671313a3, 0xaa4b40058b612561, 0x76ffb64c8d23cde6,
0x6a92e17bf0182283, 0x89f3d2d362deb744, 0x44d2dd2c01d19b1f, 0x8acfc93a87797dcb,
0x9a52bd8c60ed7f9e, 0xd9241858bfd25c5f, 0x43fb099239bb8a1d, 0xefbbb644c4f7ea5c,
0x534928753089bc5f, 0x0d96aa2b69af172a, 0xc71c0b64dc05447f, 0xd5a207d0b657f938,
0x6daf7ab9aca5933c, 0x4eb44e34f672de80, 0x8fdb909eab476387, 0xb02c19a8cd7b38ac,
0x332dc7a68f73298b, 0x0ee6e9a92ddb7d77, 0x68e4ca04ed2a2d7a, 0xd8c9e8078309b149,
0xc859ef21bdb9790e, 0x61a18792b92635ff, 0x5b2149910043716b, 0xf1bc5799725c1271,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x47cb316daea4446d, 0x1951d98ce3ae6f79, 0xb7148c3ee14ddb8e, 0x529d00790b29995c,
0x0e6944b71353355e, 0x442df4b06a9d679c, 0xf4d7d8ecf15bce99, 0xc2729812271118b4,
0xcbec423fd5c2299a, 0x704ba2ea8625b17b, 0xbfc7840f681706ee, 0x33353b5cad9c638a,
0xc2b65951be6563a6, 0x851b0da694ef4f71, 0x10fb82a89c66e789, 0xe77d6281f2f2c293,
0x1d4f177acd037e60, 0x3f8cc338e2be8ec2, 0x9b3c04eaf322d105, 0x28efeed79d0b0bcf,
0x42b8f17f9f28b232, 0x30ded5b11c39b20d, 0xaca5ebe1a69cbb0e, 0xcdcbb3e55222b7f8,
0x6fff1331ca5d80d0, 0x07743e6c4e604abe, 0x0b72ce3024ce8baf, 0x4cc2563caa3c8421,
0x65f799cd78856906, 0xc8c8935bdcece665, 0x213ca01f187ee65c, 0x72e7becac6f1ad22,
0x10f649dc860091a6, 0x143a53ef13efb407, 0xa3948617437489f7, 0xeed84b264ef67c1d,
0xc3f103cf0dc4c5e2, 0xcd5672e8f36d5cbe, 0x02e7aa140381add5, 0x90f53bb2c1798b4f,
0xa93b7e2605969c9f, 0xb244078a237bf710, 0x189c129beb9776ee, 0x291383865815f73e,
0xadd260584c31640d, 0xa807499843f1fe10, 0xfebee385bbb83457, 0xa0e3d3196d896f3f,
0x5f39077784374edf, 0xd70c57651867dfcc, 0x94bfdb26142812b1, 0xa8e6f6791099039f,
0x84ceb1ece9923461, 0x91ca82b4f734663e, 0x545f9488d8bb743d, 0x16ac9ea0959b1d71,
0xec93068e54fe6370, 0x23e8f22996689b71, 0x33740d31eb184703, 0xc84f773116418155,
0xbd0ba404052c2c4f, 0xd6c051c1eb21b54d, 0x0ac0dd54e06261f1, 0x380245f267754403,
0xa50b0c8ef0017a3b, 0x2bc6765a017852aa, 0x1a1adecee30de67e, 0xc9c556e56d906cf5,
0x69196fab4542af68, 0x9fa1700ec6374adc, 0xd35583cf612d0fa6, 0x36f38fc3e8d40eab,
0x2f1e71d61bc1ead0, 0x724cc10a8a09c43c, 0x042d4dc607b5e38a, 0x41438e3a0dae1e43,
0x0dc2b6772ea5b922, 0x581f84f233ef2ad3, 0xbe9af0cacb8a9f03, 0x1e2443006ec883f0,
0x96175ac2efc8e191, 0xa9c7c6f669170786, 0x4288dddb2a127a38, 0x7aa54716c2885182,
0xfdc4ce25aefd55bf, 0xb295e7dad3dee7b3, 0x15cc19af07873c9a, 0xa7bba9aae9a100e5,
0xf3ed65fe29a42e3b, 0x1609d3ccd4980df0, 0xb538b1096d1271b6, 0xae96631e92f9ef3e,
0x2e33eb109f4c082d, 0x83ff675eb63fe29a, 0x3482765c2cf3f6cc, 0x49bcbbb7de41ac68,
0x4a20c4923377f0fb, 0xed53162ac48e7879, 0x7f20ca8caf99f8b3, 0x8f8f6adbd7f27490,
0x09a0429ffd36849c, 0xc1e9629b88840e3e, 0x8c13728a7747eb1e, 0xa00874f8321d00b4,
0x059eef8543a7d067, 0xde7e4d040aad2c4a, 0x099560dbfbed784e, 0xa46808fe07aea14c,
0x998caefbbd951923, 0x4a079110f47364c0, 0xc8d623516ae34623, 0x30411d5ce9e120e8,
0xc673cc7c96f31c64, 0x2f3f72499b8ef808, 0x347d54c095cb019c, 0xcd80db5a2fcf8e4b,
0xcb8163d474bde015, 0x76df0e64c94b8e1d, 0x7caf4002d6b5e32b, 0x918dab05881c3ba4,
0x85fb5a4e3290e444, 0x6f8ff530cc29ee14, 0x8362006271ab4291, 0x0469b4d3f24ee97f,
0x23c7129756f2a337, 0x756f56b50fa8d68d, 0x9d0a9d2f85a1342a, 0xed1c6a919e2cb92c,
0x56a0d97e41cac1e7, 0xed34cfec61a63cd4, 0x6c38deb8413b7e95, 0xfe46eaa74668e061,
0xff34677a9c214500, 0x55de956f83a1dd96, 0xaf792861304df3a6, 0x4da6d0710faf12d5,
0x2a5dc50923cfee45, 0xd7aa50a91b7e77a6, 0xfa465360ad5ccf84, 0xa160fb98fd14590e,
0xf453666b5a6a8234, 0xb470b84f2a78ba87, 0xe333706269ceae4a, 0xd8a7f4503a7e6f4e,
0xcd638baecf55fc6e, 0x917472517219de08, 0xaab34ad80912cd2f, 0xe1680a485af2a691,
0xa32b31bbe687ba14, 0xb663dcce34e070a0, 0x27b39a1b925a82f0, 0xc900fb075b7b676d,
0x594664aa07b0d620, 0xac339c094cc3eb14, 0x53dadcda8e2efcdd, 0xbf3b7b3a9a10d5da,
0x90262f690ad4579a, 0xe54f32aceca1a63b, 0xf1c3772584ecfa57, 0xb2ae4c75d776d718,
0x9ccf0f69e3d7556b, 0x52f085ff31cbeb2d, 0xfc45f7287d7285df, 0x2bc6a12c6c003d65,
0x7e8cc21f50b5f71c, 0x00f98d230908895a, 0x582d2664a34223b4, 0x3eb7c2bef8223a03,
0xafad7bff8c46cda3, 0x24976da0869dc94b, 0x7f80682972f7f3d3, 0x0a257c22dcf077b2,
0x7b0097d30dd81fe7, 0x875ea948852008f4, 0xbbae190cb83cd7e8, 0x664bc047360ebacb,
0xb3063486d9b4ea84, 0x8723129e521ced43, 0xf4dd00f371fb45e3, 0xc68cdd5f48009724,
0x23a1ce213de11e81, 0xd1c2aea3c75b435d, 0x92f1c67dd1ff86d3, 0x25ed902c664402d7,
0xd5ccc0d981c86105, 0xef38207fb6b53c9c, 0xc3e2db630efa6c87, 0x1c1ccc2c1bc04c8e,
0x0fe21e302194d8b9, 0xd2bfcad02e6bda28, 0x4574300cbb38ce15, 0x867f16a835add5fc,
0x7d884694eebe3ab0, 0xecb149d5705c2f2f, 0xc0d0c28f3f7c1a56, 0x3f4a2adde22e8524,
0x13254d1970d3371e, 0x3c4352c7145bbc10, 0xb42ae4836483b273, 0x6826beb9c032efe1,
0xfadddcc70d492dcd, 0x03c498a880bfc6bc, 0xf6e4f6031bce807f, 0x7e7441bdc4b13200,
0xa3467dbe77c74c92, 0xb90d82bc024a6ac9, 0x11f09ea3584ce63b, 0x3619a167e2607ff7,
0xefec2f945aeafbcd, 0x2dfd4f62a789d762, 0x55a7515e54f991e1, 0x5061b50a19bd1c72,
0xd3385157619354b5, 0x14699892fd831a54, 0xe0bf057ab6f655cd, 0x61d28d98ff39a941,
0xb8d9ee573902a2a9, 0xd782b6aa9a24006c, 0x2c9748b3a91d29d9, 0xaa104d93bc4a5e17,
0xdd1756dcceb4c938, 0xcd84c8924ed882e1, 0x35873129ef573559, 0x745d64236733f746,
0x61483f5519e6c605, 0x5df423a8d6cf44df, 0x51d901016c72ff7f, 0xaeb4d808de28e1c5,
0xff6fc0dbc1adeca2, 0xe262917f973040ec, 0x6961452836b1357b, 0xdf4eb4c6908b2470,
0xcaa2e62e69883261, 0x2b5053b94e0f50d3, 0xc9c8824c766e90f5, 0x975effcc70b8c73c,
0xc085364f4cc9401d, 0x9e7b5f9f1032b91c, 0x4fa4cf11f7c79943, 0x1997f1c8d634a144,
0x36b6205ba9d81aba, 0x44ec41fecfd9fa85, 0x6f29d3728be3c8a2, 0x810ab87a65196835,
0x3b2fee0196937387, 0x7176f65fb338d2a4, 0x7de602c866a8d715, 0x1949fd7f53364725,
0x4e503250f063448a, 0x287ef746ffabff92, 0xf1b17d0c50fbb9fb, 0x8e184be143d22139,
0x82199f86a4d16fa7, 0x347721622b43cdb4, 0x6d332a0a44c016ab, 0x71792bcd04504ff2,
0xd7c23253f7801b75, 0xffca4691bb4a7f6c, 0x38f974a36cedd305, 0xae5bd756ea76453c,
0x7f802f51225cd4e8, 0xdf10c32f2bcf3945, 0x236193b2644e05b4, 0xcf541753297c8992,
0x0d08c9fadb641ca9, 0x1d240820083d4fd7, 0x51aed68225884c12, 0xb343010b93695ddd,
0xcf8884e73886bd75, 0xf973c8e5421e0496, 0x268acc5398d9fed1, 0xac7acfab2910110c,
0xbaeaf17ad7fff99b, 0xcef700952a481763, 0xf30c97e9e2688049, 0x968ba91addf95150,
0xdbab7bcf53eff647, 0xf3a6fff8b4f471a0, 0x05d842e0894e6ae6, 0x45dc59c109c8c876,
0x45e326285966227d, 0x033cc45b8a557bc8, 0xa7ddd9e723b09cac, 0xa828b283b4661187,
0x72f19d5293f0be95, 0x6169e406134dc960, 0x6d8151a7239fa753, 0x48d23ea63515a23b,
0xf11bb3de503ea6bf, 0x5f9ee2d662870eef, 0x60b595c51bb84fe1, 0x3afcc46b4a6f263d,
0x693a38f9bd48333e, 0xf4ea534f8dfed1f7, 0xe76a7aba7270adc3, 0x6ef7512dbe51dea6,
0x2ce7df1feef70a0d, 0xf50fd0fa12b2999b, 0x87b2766766a97c83, 0x6e882dde7d6497a7,
0x298e5298d267376e, 0xc891c72ebc0261b7, 0x5a197cf8ec6868cb, 0x66e48ffd0ff1418d,
0xd242f03716739628, 0xaaa329db92ce8133, 0xf0dc48352d745444, 0xa3d2f9200b0e221d,
0xe4009afbcc0d15fd, 0x998d25b96d0de8fd, 0x67cf64f86bf785f9, 0x7b5fc4dbf5735d10,
0x83df23153143e04b, 0x22a99125c73c5a6d, 0x051c91517fe3de04, 0x13652a71d7e1cd45,
0xab078084feaf04b6, 0xa2c9b439282ca036, 0x7907ec117f87202e, 0x3be8c40a15315dc0,
0x72cc683f303b4766, 0x704166544bf83523, 0x7e139628355f78f5, 0xdd09add8ff4e57e5,
0x7a585378089aa255, 0x79ca69a5678573ec, 0x6f486cce3cfd8c67, 0xfb6b0e2ad41f9683,
0x828a251c85edeceb, 0x1889b443c4c5f958, 0x0ea11dd07a38aa13, 0xfb8d47f003f0b660,
0x29d6dcff77376523, 0x53754ce8aeaddeb4, 0x86508b071448c4e7, 0xf792d741169f62b8,
0x0c7bf325d1724ffa, 0xad1d8a7328b8d159, 0xed25e8104dee693f, 0xaa0c42d660566999,
0x59dab08a756f7d19, 0xb31f5841447a6f6b, 0xa749e402fc1a6f6d, 0xa74680f8e09221ba,
0x3721282011e718ab, 0x4e135060f98410ea, 0xa6aa9cd85563caf0, 0x073053dd8ca807c7,
0x2aa679e5c2401ed4, 0x4b38f9d7d09731da, 0x66bf953a6335c2d3, 0x601b6feb84438214,
0x4cf1a02e3c0f4c57, 0xb9a4e7bb82ab37a9, 0xe6aa242706f354c9, 0x665edd041e1883b3,
0x76d1adaf1e01ee9a, 0x4431789abd420625, 0x792a05f7a10a4944, 0x3ca1135ec3d3d39e,
0xbdbf76ff77fd0207, 0x61042fe5613d9603, 0x4efccade64f769ca, 0xf799a7437f32c6d8,
0xf09ae0e7caca0f66, 0x960098c6db2a0e99, 0x425313ede42172b6, 0xba24954b4a181acc,
0xcde435229275b83f, 0xdc3e51b9dde9e591, 0xf0c3bf296161cd97, 0x8a4554ef0a626f30,
0xefc19b8265aee9f5, 0x00a3156603833e10, 0x93584c3c940ded54, 0xa1475668db068cf1,
0xebf8fa31471d7ca0, 0x64e3c3cfea5e3eeb, 0x7e03d2e778592fa6, 0xe98265e6de7ab471,
0xbe9bd3ef6d3067f3, 0xe8cb06bf3d18c58f, 0x80264e09dcb3015e, 0x212c431fb9a5c174,
0xeba51260e4960b60, 0x4b3d953fc4a7a7fe, 0x379a5a6b0c3a4957, 0x853f6c8faca0f413,
0x2c629ff34faf1f36, 0x067c4531626d07b0, 0x0db77c91a5a15c32, 0x3ddeb4d1782478f0,
0x0db951b3cffc2146, 0xf909b2d9ebdf32b8, 0x08da82db8dcf6e58, 0x4028a3e4c597a3ee,
0xbcd5db4732d38af3, 0x7e432dddc9934aac, 0x493434be916138e6, 0xf1835dd64c822313,
0x4000b4d6a6ba3295, 0x5f8e7afadd35d2e1, 0xad36e660029e7cf2, 0x4dd64c262b5a578d,
0xb871bd38de2a76d9, 0x235a4fc21d72498f, 0x627cbc0775bd48f0, 0xea62f8b63620af68,
0x4f855530302c2354, 0xfa092ad1cb2a1fcc, 0xe4b7c36c7d50017d, 0x9bc32bfdb6a45806,
0x7d57edf81f70d8db, 0x297e985919f3d59c, 0x276758dd38787959, 0xea14765fbe238fe4,
0xdd43cbad080c8089, 0x34454eba4d36098b, 0x96a81a8e493b3e5e, 0xfa36f6569e8e5b8a,
0x632a3634befe270a, 0x932f7e0b969a49f9, 0xe3c655d0c06b08de, 0x60b8f06c6861583c,
0x39872ae9ab4932d9, 0xd9bbbd35f32c48f5, 0x9e83f41bc1af1c61, 0xf0ad701c188c67f3,
0xf3480953397816b0, 0x5930c8aeb92b2b05, 0x70318e477f997b41, 0xddd5e12fcd674ffe,
0x699c40ae0814f288, 0x59986c252ba524cf, 0x4a7000843c4d1ce9, 0x8c0216bff40533b2,
0x6efc37b594987609, 0x7b8e8659bb21816a, 0x44f8c072d4244980, 0x9763a5a1ffc2284e,
0x57284699a4b29d76, 0xc5ea66e93bcdb658, 0xa92d621e1b324485, 0x84479b39cd5ea278,
0xd6e4ddcbd3c649aa, 0xaaacdb7a319656bc, 0x77d5568b1b583f6d, 0x4b7ba20c8e54693b,
0x4055c17ef7b9df50, 0x2d313395c890f8a8, 0x16a4e5fc3172fefc, 0x980661c87c33184d,
0x55ffe897ed35ecc6, 0x21c7ba4702409fb4, 0x28f5687b1908190a, 0x235e3c15f38226ee,
0x0460b23eaa313168, 0x9926bdb8e71c202b, 0xfdb3407cba0b6486, 0xc1b1552443aa19fa,
0xc6cc5507ac2c5379, 0xeae3d62018ed9df8, 0x1a86f1ce83fdf045, 0x855518254d9a4192,
0xaea2c4b19b71d093, 0x27fb0175bafafa07, 0x040806d8f6bbd258, 0x3529b0bcfe57f4ed,
0x6f960cbdc7eb0e16, 0x288efac98d684114, 0x3ba44bb950d24c59, 0x6d2a43a4969f8467,
0xf9aaf9a10ffda60c, 0x87fd0ee930173869, 0x11cfb125401f56ee, 0x1dcd1dab3cf955ea,
0xc557d042bb3f72b0, 0xbcca1b773e40fcc2, 0x97af114ceb5c4b3f, 0xa69fc92772b72fbd,
0x666aba79dfc2dcbf, 0x595a1614bf33dd4d, 0x21b3e745ca12809d, 0x08a014ead0f1c42b,
0xdf6ec5c128b1a985, 0xc394bb039c7abfcb, 0x327c0cbff595ef3f, 0xe9f2b89edfbde610,
0xfa2c03d9e372b12a, 0x8c1956db1b0b6f1e, 0x630c871c996008a6, 0x1eb6da14c5c87bd2,
0x3d0c76dfc273dd35, 0x1852a10138e64305, 0x12cbdcba4f7749b6, 0x9d646b9a39d398dc,
0x001377cc14f6e69f, 0x694a04d7199f1370, 0x064cabfa1617d659, 0xf2917f4b3e041591,
0xa31297be87524fa4, 0xa998da9e100e3a42, 0x44aad0fe965ac824, 0xc0301443dcfc5acb,
0x3f2193b6dba57e46, 0x0bd47082b2578ac3, 0x0f89e338ed507cf8, 0xb8162fc987a33f5d,
0x3632d1dcf107fc18, 0x6ac325bfe3a0be2f, 0x49f8dc81579733ea, 0x82bbe493bdb803d9,
0xdfac95e92d79ac8e, 0x4a285f579b518ac1, 0x4f4a4aea08909091, 0x6f433216233e47f6,
0x924bf19673ee901d, 0x04082aabef5b459b, 0x93c5ba2a98b61546, 0xbecfe21475dab497,
0x7aabc67b85716bfe, 0x2eda9d697a833bcf, 0xa1464a06b8ecea75, 0x721b825e794aa4cb,
0xe751041d4e5e5d13, 0xc555e497c0c3077f, 0xf7a9459b707ef6b2, 0xae919c9673d32555,
0x423d9bd7b4e20617, 0x288aa5523d9b6c48, 0xed9e31a80fdf2bca, 0x9b4bce3410b63370,
0x6485958b1dd80350, 0x75dacb5228027426, 0x70cd6e76243c99f6, 0xbb19667e246e56fe,
0x2210273f1c3e358e, 0xa103ee4e62c318eb, 0x2a4fd1aeeb834dea, 0x8f59d7cf5c78d96e,
0x48373461fc75fa33, 0x09ed4eaa83376b05, 0x6e7d4375f60317ac, 0x7156fcdd0880dc03,
0xfc1ba0c2f1138649, 0xe4d10a9c057f74fc, 0x334ce263b7898ca1, 0xca290e92f437a928,
0x45ba0b07cb32c7d1, 0x4269315a8c8c8505, 0x49851998931f4183, 0x43fa4011a70ecd3f,
0x428f6b5f209719fc, 0xccf1bb0647981d81, 0xbd25180bce544d86, 0x13f3e913e128411e,
0x75a7920596a35609, 0xb3ee52adfab44c63, 0x01295f8681c67165, 0xc2fa9c41b8eade42,
0x35c66e3b68f78919, 0x7034b0ee6e342860, 0x4623cd0229761f82, 0x7cb18e1f019c2b02,
0x50d15c51a7c905bd, 0xd00fa6856e9828cc, 0xc0002e908755cdf0, 0x47750491cabc0271,
0x6bb6f6172283e05e, 0xb012eab6321c6ec8, 0xac641d597d9019c6, 0x4d648d043a4e8748,
0xa2375339001b9cf9, 0xada4648d8d0dc3e4, 0x4004d12b0a0d1dd4, 0xd20387e8759a524f,
0x587c6c770f9cea80, 0xc5dc826b2a921d07, 0x8f0f6b3de14c9fe0, 0xb89a4e419f3c0993,
0x5fe3947f7de56f90, 0x24184367a51fcca4, 0x9d94b51c92db4dbe, 0xbb2309bd85800234,
0x8d6fed1c90ee95d5, 0x96eae22ff57eb7ba, 0xf826197f2d07cbc7, 0x48d525e90dcd1623,
0x6016aa5b6ae100ea, 0x5ff8c63f5b590a1f, 0xb59b2bf14817ed39, 0xa192056432a8d025,
0xca4cea8599dfb866, 0xc35b85fb1e017e9c, 0x9039f1bef7a4a410, 0x7f1f289608d04c23,
0x886074a37d8bbf74, 0xa9e2e5faec088d67, 0xe81e0b6aa76f742b, 0xbf00e276db6b7138,
0xa14c7390c72952c9, 0x39763b6d4c852242, 0x1ca6b5327f716b38, 0xb647d4e3a8116bfa,
0x3cabbbaa96cdb599, 0xf1f1c103fd93f3e2, 0xbbc5663208574c6e, 0x35257365df41bd73,
0xb38c0269a2ef7ac6, 0x695bc8fc07c22ad1, 0xf5d65950fce3839e, 0xb6e3ca2d45f8f8a9,
0x78a57b935d45070c, 0xc4665585fb5c1678, 0x3b59ae4f705a7543, 0xfede23d7b6d5780d,
0xe8a8d460b43725c3, 0x361d8c8c68440d28, 0x13f356072e5fcdf3, 0x2882d50c04da36bc,
0x9edc7d2e50db8663, 0x0745565d51454fc1, 0xbaba03de33903404, 0x1424e9fc1b4f9c17,
0xe843201343e05786, 0x7c2ea99cde59abcb, 0x287299373d7028c6, 0x8ec81191abecc4f8,
0x7d9cb74299ccb8f1, 0x9ed8d1b243a797c6, 0xcf1c00bf484c3a85, 0x3238b380b4bae9ef,
0x1487ed49765375b9, 0xa65a82d8fbcf068c, 0xb68be07ecfa34900, 0x02268f3ad4497df0,
0xc3436e5766042e7d, 0x2f11398b36f348d5, 0xe50b51e4de21adfd, 0x871681cdf4135dbf,
0x9f3155fa73776c53, 0xb64123f08f711456, 0xa2d0d22f23cc6685, 0x245a1b7088c1a2d7,
0x819c3a58be83483a, 0x6fc4ffb31c43c956, 0xc879a30ae1be570f, 0xb2f37760c9176243,
0xe31baf84c38f7595, 0x069c6c9ad922c3ff, 0xf62e1d24c751f9fe, 0x2104c723c93273ca,
0x6ce809b56520d52c, 0xf91c38465ba2b6f1, 0x093ddb1b427579e1, 0xdc19de78b762460b,
0x53c69c49c1f9724e, 0x8b0265fca043604f, 0x7f8f89b9bfab5db4, 0x37f63f4fb2487664,
0x2b3440b91eec4044, 0x9563be670b3cdeb3, 0x0758e285978c74bb, 0xe3105c1f607b3468,
0x021379fc2361b7d4, 0x37a76eab34f18162, 0x69858692b5445131, 0x428380fe0775e500,
0xe809432d8e597b44, 0x57c54422f33f6f97, 0xc2ec6cf9977f006c, 0x66fc757e7e4b99bd,
0xfeec3309152f9925, 0x054ad60e0e7a46ce, 0x9479f4b64541483d, 0x67e6f938c0b64e21,
0x112b71fd7a9fba7c, 0xbcb4f119fcdb4850, 0xc9d138daa7702b58, 0xac42ebc3175ba914,
0xaa16df74c28eafe5, 0x000c43a79776d8b9, 0x3fb46e8f755a665c, 0x6c6cb9d59666b7e0,
0x64e2b6eefba13c34, 0xbc1f817a9285d039, 0xbe2574491afdf18c, 0xd8e7c71bf466fe32,
0xb7263c83586e2c32, 0x85e9a07da29a1aa8, 0xcc03588a0a8994b0, 0x5b69fa2f454f57c3,
0xc7cfe9c4a9795ce2, 0x67894d6d49e83794, 0xf533bf76330d98f5, 0x708405f9dcce681a,
0x60d978cffa081e3c, 0x5be06f645d693a06, 0x1abdeaa0f3301e9d, 0x19dd54b112ba50d6,
0x52bb9528e5223894, 0x635070fc469a8ad2, 0x411eb7511019ae17, 0xa915001fa159aabf,
0x259340edc94fa139, 0x424dd6c0b7e58318, 0x99a9b357f0e8a901, 0x0a9a3668a0f2fad8,
0x91b249baf870b0b6, 0x7d9b2c5bcda0e175, 0x1283b326f609a375, 0x68c0ab09cd0460df,
0xcc58c383a4880227, 0x3ef37c2a85e73f27, 0xa6c87b71ee14fc41, 0x64936b667b77a39b,
0xa87cc1c311d57939, 0x0e12cea78550a98a, 0x0edf3416ff006295, 0xeb8f3540f57987d1,
0x0cb937a5ce8a2188, 0xfaf6b5689ce2320f, 0xbc302819b0376102, 0xee6184df9a45b63e,
0xdbdad8a918653125, 0x5707ad611d2e6f34, 0x1ec378c9f4db2853, 0x63141c1d21d20498,
0xebba70461457f020, 0xd9c6c7a94b852e21, 0x174fad4cbdcdd88a, 0x1ce8fdde17bac1e4,
0x88febbffcf1d3f55, 0x2b602e30c2a37768, 0x05663b30101c7a7c, 0xd442d0cb93ef78e3,
0x9fa5d43570bd84cf, 0x79397b09174c3fff, 0x40ec092470734a27, 0x30b408ac34025f2b,
0xd9bc7a63aa62850e, 0xe87d2b829efa4406, 0x6f496234b5e2a055, 0x5021867a710481b3,
0xb35379d77d6241f6, 0xe56fbd4bf3b02b88, 0xee7be2d64cc67585, 0xfe34042bdaeb413c,
0xd69badb932f14be8, 0x796633824168aea9, 0xc4d1607a893bfbaa, 0x864df0080dee784a,
0x69de3fca59ccf044, 0x26bbbeceb6d1aec4, 0x4bef826bd9c2714b, 0x08bf0c4394a7cc10,
0x295cad5f10bf1038, 0xcfd50867a7deb835, 0x398035d3a934ed5a, 0xd02c0c31f2eeb615,
0xc8263073e51ae573, 0x9eb3d04c1fee5c9c, 0xf495c0a301c45247, 0x71dd00d967ba79ea,
0xdd2f22907f57a746, 0xe56d25c8fc9db477, 0x68b020553412a08c, 0x0760ce0cf31b722f,
0xdb4e6c427ef76516, 0x494a53cee10d34cf, 0x7fd825f55bf4a4be, 0x3b0a3173560135cc,
0xd082b29647d98c72, 0xe9ca03be70de959e, 0x2fd5f068cc93b311, 0x3ea8fbcf90efea68,
0xbc977cd1f2635187, 0x62c0f8b4f81a7f5c, 0x166247828fe3c2a4, 0x22c8067c262b640d,
0xc0232bea1e9e7386, 0x1d0b61512ab417d5, 0x7935e8314da7d05c, 0xfb4529e0a661514e,
0xa9a5a253553ab284, 0xaf05514dad66a498, 0x6cce42c3b28cd2a2, 0xbf2eb430f2ec5b57,
0x95c54a03eebe98f5, 0x28101319b8d1e262, 0x75b6661a98fa5c34, 0x37f99e27f124fc79,
0xf034af90ca8906b2, 0xcd73c94dc7f3fbc3, 0xc64e8e2d02110a9e, 0x89aef42d28f67353,
0xb257700c28a619bb, 0x3e2482c333d0717d, 0x48206b6b1943c481, 0xee9e03015007ff7c,
0x83249b9377caf192, 0xa1396245c04896ec, 0xe59924288321090a, 0x9c48279b72be9bfd,
0x9b0d6e0f436ba245, 0x3fa440fdca7c5927, 0x1a5bcc14f595799c, 0x8edfdeddab469aa0,
0xc14f62d1be917def, 0x18e4157fab5255f9, 0x2f6454a15e9ff53e, 0xbc62423127ad4365,
0xf97c76b0f9949566, 0x02e91eafe1a67feb, 0x7d6d192dd561632c, 0xdff1d45d66c66d9a,
0x803a9199f1a56646, 0x03db75de54454f70, 0xace0868fda2642b2, 0xc8f008c0212c3e95,
0x9057ee7cc43576e3, 0x26227f6795e29ef3, 0xa3bf923d51c7c2cb, 0x4cde9f0ef5700132,
0xe71234eb70d03ac1, 0x96391244c1ffda3a, 0xe579efe1283b4825, 0x977ef1846832e63e,
0xacf7b77d1581a80b, 0x0019b7d5e2d2a3e5, 0xd75e868876250920, 0x44f83a7ef51f6857,
0x1c7373654e9829fc, 0x3e5b1c3c23c3b5e4, 0xf0f10ee3ab5e0d03, 0xa247caea0f5d4003,
0x9ff14eed5de0a13e, 0x63f81ade4945da25, 0x35b6385213119c79, 0x3a3277733f095313,
0x656bd0ef38eb78a8, 0xfcd5186d88a8ce66, 0xe20c27a0fa96d44e, 0x377d8a0bf100eae3,
0x080c9ae246a0c063, 0xe875149e21d86df2, 0xd347565727c083bd, 0x02f8721aac0487ce,
0x7752851fa108937f, 0xb081c313f237f377, 0x8b9526db8ba325fa, 0x29c66a68f57918f3,
0x0512e9646f2c5137, 0x089781692547d02d, 0x6569b9392b5733d7, 0xfa4ccca436aa2d6d,
0x803bb51c3113cba0, 0x562e69ef558c64e6, 0xab9047f724161343, 0x7f5d285969df4c36,
0xd15765332d5d48ba, 0xc1974bd021b3b300, 0xe6770281002ba1aa, 0xe6d1b80853359a2c,
0x590f9dad2c5a0d8a, 0xcf8a37435edd29ef, 0x979d39c9efa9aa8e, 0xf83a4da88bc29f6f,
0x508a3d5e22aad5cb, 0x68e903ab0d52cb71, 0x312955296d2218a5, 0xd6763edcd49132df,
0xf2aee76eb4c2b452, 0x0a79a3a469e4eaa9, 0x91d5b16859d5945e, 0x46bde14fea91c2cc,
0x1c21b0d8a937485e, 0xecfc62c90a9b8d72, 0xdd71a76ac34568e8, 0x744113505aefb078,
0x8e6ede0695cba7b1, 0x674d23032850e515, 0x141e60f4a0c34b23, 0x1c0bf8bc3a201bda,
0xb19fb814e9ab8fd3, 0x57437bbeb6c78720, 0xaf050278a1bf823e, 0xaa9a76aa461c0e50,
0x484002b7cb46a46f, 0xb1268adabea1d8fb, 0x268e3df300a337fc, 0x0d99a7debb2f5128,
0xf2c9ca9eba2acc4e, 0x98d0bc5f8beeb084, 0xde59ada46aec2ad2, 0x0b9504aab45d0c01,
0x630bb43177e7a1a6, 0xf96e736e78d863f3, 0xe5230a2bd828a5c4, 0x407299f22d008275,
0x9d42e7b40e2f79cb, 0x1f036aa3dbd21e14, 0x1fa8808dbfd1dea0, 0xee6f091f5904636d,
0x91fc99bf63ae1083, 0x7dc884d88c542023, 0x144b12d52dbbe853, 0xda5d9b8e2a24f9eb,
0x227d286a8798d192, 0x74157aef50711b0e, 0x503b9aa5f947720c, 0x893536b2d5d97949,
0xf50ad69fef98d74a, 0xa4eb7b76d5315e4a, 0xbe95c7d12ae7e2cc, 0x803543580d9a83b2,
0xa37514831cba3ed2, 0x6c2d3d6fc6250a2e, 0x2f60b856a9dd9a49, 0x76c814bc1c60a2d3,
0x2c7ec34fe5a0ed41, 0xa48b89c7e7899f67, 0xb094004b5e9d63a3, 0x52797ae1bd3c94b3,
0xaf82d4f5608fabd6, 0xa6a2fb39d5c19fa8, 0xf96b3a8bf3625a27, 0x222e9a6aedfba7b3,
0x49ef45f8dc23045d, 0xdcf70e4663000e41, 0xefc841d124b61dfb, 0x13c09e0bdb90184d,
0xb8d738e075586921, 0x1e050c769a1ae290, 0x89244fdf1b9551fe, 0x802e84d907f1ada5,
0xb4fd99152b21929a, 0x5c62f5d7a9b8bd72, 0x3ac3429c56929428, 0x0c9f0c4a4894b478,
0xfed6c2d8910800bf, 0x8bdc84f7a0efc8a7, 0x42085048639d33e9, 0x9c2081ee94962f32,
0xe265d303aaece6ff, 0xcbf81d5e472e5d9e, 0x9774628a2c9e1384, 0xd7f1c6020b0b8e61,
0x8070b09f2236f896, 0x530e6858efe2826a, 0x5dabbe0d21622264, 0xe0ebb13efa5d6f1b,
0xb89ea0457c6314ee, 0x004930c7e3715faa, 0x88b448d351f918fd, 0x5f482cc1d901b1ab,
0x572760107bbddfd7, 0x069b90304afacac1, 0x9a99682b54885287, 0x1facd5be2f1294a4,
0x4f967a5015d1cf1f, 0x76163e0546d7dbe7, 0xfa275d894d4f8193, 0x854b07c578c150cf,
0x1dc7bfbe799dee0f, 0xf6a3c45e52e8aee5, 0x976e5563275d2520, 0xc13529e66676ae8f,
0xd265cbd73652709c, 0x4ecdfcdf68dbc49a, 0x19c4e31faf26fa73, 0xca1cd6530166132f,
0x8cd3dd1d84254cbb, 0x5191689df316289c, 0x59593d62456c45b5, 0xb74f9d844cc6a179,
0x0f32bf9f98e3092d, 0x1b2bed3ec1bbdfa7, 0xffe0b5caa38d9fb0, 0x9e26f336ce31155e,
0xf12c954aba567b3e, 0x2165dc08bedda2ec, 0x54eebd0a17a9134f, 0xabae066183916b25,
0x2710a17e4dbf1e39, 0x31328d6b37ff69a4, 0x68e819fb4d792fa8, 0x0c483e19ab77610f,
0x9e388c818e3c59aa, 0x0aae6910a3ac698a, 0x310d0ba78f2f071b, 0xdbe5ded5465dd648,
0x2e4867a24f6e9699, 0x99052eb3aa1ad32e, 0xc0ba8f29086f00b6, 0x46d7d5733f1e8e14,
0xae852045df608b88, 0xe4f3879f1126a717, 0x06709ee95d812d59, 0x78bc6e0b53513cdd,
0xec95ded66b4301a8, 0x056ceba1858e168c, 0x0b5404f133e43790, 0xf7246cb79c9d6ea2,
0x7516a42d63c67451, 0x937a74beeaf5bccb, 0xc6b778e2e4d25993, 0x1a4e27bf1f1313e7,
0xcd4635a0e871f17b, 0x1ff342b9ccaa4185, 0xf4788faebc4312f2, 0x39356ff42b2a75e5,
0x0cc3564e52f81b2d, 0x7e8936d18b5540bb, 0xd92432676f54e2ea, 0x8d4e73c126a1db09,
0x951cee42b521deb2, 0xa8cd89e58c2cdd67, 0xdfcd3c678a43028c, 0xb488d09f6cf4cabd,
0x187084d1feed6fc5, 0x8b03cf35cf64d01e, 0xcacbefc199a62030, 0xf76f4c783b218eda,
0x9ebe34d4d778e02d, 0x0ee390b46532b26a, 0x6d4072fa129207b5, 0x1e2b19b67ed19e47,
0xa29d9eb10ebc7e65, 0x327f6d57cdc159df, 0x8a400df13b4a2298, 0x09b91c47c852c384,
0x13733539f94c8fb1, 0xd2e36a7fa55e4d00, 0x8bda57cf1729b023, 0x7865c25ea55f1eda,
0x0712c64eb879d8db, 0xf1f280ce4b527f3d, 0x3343922cd4bc18c6, 0xdb5de50531ee2b70,
0xea3b957df1bb79c7, 0x348ed5e10ddfcfd8, 0x68fc345d5b6b6f64, 0xd910640aa29331d3,
0x08854e8ff6f6978f, 0x6d0df657a038a57a, 0x6463a1a30f62899b, 0xbeaa22899e2337c5,
0xd8e219de34c7bfca, 0x7affcbe16bba9663, 0x274f95cfed85aaa8, 0xb77d2bf0c95125b6,
0xc07c427fc0acf7a0, 0x3c60bc3399e408e1, 0x8a2eeb621420bccd, 0xec663ad1deba216c,
0x0ab0dbce71c30f67, 0x6e16b6d532e3a98a, 0x46aa447319102085, 0x27e752c7cac6eef4,
0xb1f9ed6e05ac9c3d, 0x8bf8b1d23067ae8e, 0xba898030c7d9d7fb, 0x523696173519d106,
0x86c177f7521e5482, 0x2c1aacd42e24d4ab, 0x5149f959873e7db1, 0xc85a8b10fb5ce953,
0x0a90bec3758fc3e5, 0x01f1e06f01e0c685, 0xedf59a08f381c59d, 0x92fc8c8ec774cf40,
0xb6eb9905f9a8c5f2, 0x1f51adfadae73724, 0x1b72b73cf2d83156, 0x9e59df020c098c22,
0x19ee954df8cf3ade, 0x808e65170e18a8ac, 0xacdb8c9e9aa91ea1, 0x984f66e920bf4e18,
0x60e0790a9b3da320, 0xa67155461566fedd, 0x5caf6098eec644c5, 0x1914e48b07b150b3,
0xade8b48fed8d64f5, 0x5d74e9475606486f, 0xca12e488d1eeb59d, 0x6b629604a35b37dd,
0x223a543e49ae86a1, 0x1ec4f982454bb064, 0xb2e224a2d714aabd, 0x9df5df3f86ef6afe,
0x2358ad066f298f87, 0x900b627e298f03ad, 0xae423ff79c289af7, 0x1e60a35f906d2729,
0xd8a87be56265353c, 0x283d220bc656bef1, 0x4e1568642a67e90b, 0x4a372da4090c203e,
0x930f17fa6d9d9295, 0x008e7cad7ae44963, 0x4def85ed7d6a2684, 0x8ac38810bbb07c1d,
0xc1eb38ff94e33719, 0xa20452176b0e10fd, 0x8653c016932139a8, 0x65801e9076b0d5a1,
0xab480895a5783ceb, 0xe4497b4f9cd239b7, 0x9c633934099b5587, 0x9c2ea07e2443ac5c,
0x1fccd8d242221b62, 0x58637826b3405107, 0x2432b21719c8d05f, 0x3b38cf7af7879264,
0xa85e7e22226cd4ba, 0x80c15b74cfbcd5fe, 0x4a3ee4bc6fd5a1a4, 0xe4a25f80f79b0ffc,
0x3fb4e9303e73ac7f, 0x898dfff3e53ad339, 0xe86e0f1bba15eda0, 0x60533e19ba424934,
0x75a7705ba2031cbf, 0x10f6b25dad4cff20, 0xf3d368ed7224ef8e, 0xfa45adf2440d8ee9,
0xc81f29d2dfd91b75, 0xb3d103a0f4343748, 0x2531a2141d6b559c, 0x5036701548a751a1,
0x08954e789cacb630, 0x7b6b11a33cebc0c4, 0xec19b0d5733c051d, 0xb8e99762e92db1a2,
0xbcf3317f85af2fcf, 0xdf8e19da0cb927eb, 0xa25fe9d344618317, 0x596b4ff3a88ac428,
0xc07c1bb018a073f0, 0xa93df433beb88c39, 0x3b47c18275f93404, 0x7567bf3e78958bc7,
0xe904d5f90df577bd, 0x78b3125f1ddb8139, 0x69cc3d0ae81d428a, 0xb66145ae356801a2,
0xda3082217fe10444, 0x7a0bda5f9e98b7df, 0x74902f50cbb04c2c, 0xf4abf3924010964c,
0x23638997a9931a3d, 0xaeb063448efe7508, 0xbca88a5517f38213, 0xc81b64dae5874482,
0x4bdecb1808bd0557, 0x78a0ab6e90584ef5, 0x0f38dd21b6d8087f, 0x800049c26c151625,
0x495414f1764aac21, 0xcdde8ee0c950786e, 0xf105d0591baa20b5, 0xcbbc516880056d89,
0x11fcd7f6c4502d8f, 0xe5116eadd640b15a, 0xdf7f734105551453, 0x2747de7d01793454,
0x59aff3ba6581d1d6, 0x467f129784fc33db, 0x84c70d02d105d5d4, 0x8de340b6e077cf4f,
0xb9cc74a6854e5659, 0x539dd27bbec75ef8, 0xc44a042b67f5b684, 0x0e45e5bf8ee70f28,
0x03ce3dd8243a27cf, 0x77c5953b67c0394a, 0xc49e22eb3055d0b2, 0x5e30d1816f6325a6,
0x88cdfd302a91213d, 0x1bf4594fed605006, 0x4cbf704f19713184, 0xc16eafa4760eb7ce,
0xd0b3cdb7ee8d6bbb, 0xae557152030015df, 0x56fbdd1e8a7c13c7, 0x8650dc7437cfafea,
0xe7360958b8190b61, 0x8cdeef985b588f54, 0xebf6b16fdc991a71, 0x8bfaf803dbc82953,
0x62eb1fc78d40d6c4, 0x34812e41cf0889ea, 0xbbe7890e434b313e, 0x739ffe0d6d4c0227,
0xd9c229c40dd06ced, 0xadf41a3b9ba14964, 0xa668ea699254ff2a, 0xe9d4a68dafa3ec32,
0x239099b86b4b5d17, 0xfee2fdb2ec108e49, 0x58e135fe920bea50, 0x08ed44268d416142,
0x844e2ed4afd40801, 0x08572c2d4c6e8515, 0xc38ce392d0af2414, 0xa274a71febd66711,
0xc9cdecda07b309d4, 0xddd7bf8d522ff68d, 0xfe2cf92627fc261b, 0x70c9254f57f2c2b8,
0x4a9fcef9888b9fe6, 0x275c57ab6d6cf167, 0x94fbe062e3ce1366, 0xbb4942007c21eaef,
0x48ba00be03751ae0, 0xca692e7617f9f867, 0x7730cbcd74c5080d, 0x8d6fecde134f6ac9,
0x6c807e361adff979, 0xbad7fdb686d0438a, 0x1d559db4a942d85b, 0x5d26e0fa12087d15,
0xbc07f142baf0c3a8, 0x67400a87453c020f, 0x65cac6ef2cc17db5, 0x80d5d9c8d995d83a,
0xdbe188cac6b7e851, 0xd09daa1accba128f, 0x995a882a4b043e9e, 0x1652f413c43b61d7,
0xb6a7c65ea2e614b5, 0xb29476ec31360102, 0xe096ae81dda16d1c, 0x8bcdb96439a5ff52,
0xfd950222976efb67, 0x241cec3aa3c23931, 0x3c24b775287aec32, 0x0341a7df8309b969,
0x6c66ed622d1b055e, 0x5f44f761bfce19fc, 0x308ec44109203cb4, 0x59d2ee6c4b88fe73,
0x65821597cfb45938, 0xb5dca474aae9bc46, 0x905468324a31580f, 0xce19dc288b5d9d97,
0x27b6cce1420c8b28, 0x5d93367c1f5a5ea3, 0x5bb50d6939c373d7, 0x63eed7cbad5cab44,
0x327f066591780682, 0x85b61bb1fdf7a633, 0xb9b4d037bae429d2, 0x4805fdbb1a39a24c,
0xcf59d5e292befde5, 0xe4ae180d0223b3fa, 0xd4a25f4da61cb7e7, 0xb8afaf674cb4b8ba,
0x5cd11d67be6763f2, 0x0b492d820d840c45, 0x56ba3608bdf83d8b, 0x9f339365fbefd11f,
0x50a34a8728042fdc, 0x81a4b4d888b3c713, 0x4be8da1fa991b8c8, 0x282257f7f30ba02d,
0xe87095d558724e62, 0x893db002f003c1a1, 0x3dbd1891517622b6, 0x671bd0e3a63dd5f9,
0x544acd92d791c56d, 0xd3c07db5378a4171, 0x39cf33e23fb2de61, 0x868824f8718a7769,
0xe53406291cfe9611, 0x9d48889653ade343, 0x86f89e6654ac444b, 0xff2453ee39ff4bb3,
0xfaa2cdd362faa89b, 0x52f8212b0730b506, 0xc4da1dcd13540c73, 0x51d8c5d24436493b,
0x63fa2aa1d7bd87fd, 0xff00aa0e69724743, 0xd3387bd34baed072, 0x5b94668c23c570e7,
0xeaff4d1dbbb05580, 0xf52056bc66a6c80f, 0xfb0d2da7c8e40470, 0xc913639dd1942f12,
0xc4a0a52e8e9e71d0, 0x95d0e4c8ab9492f2, 0x167f9184dedd6b7b, 0x8eee4cdb3e5d5b19,
0x7220cc62e71203bd, 0x17d80b8c21508b10, 0x27f8453c2e3a8538, 0x56ec343a59233409,
0x54f9e9c686f9fdee, 0xe05fd4b5363da293, 0x183724cf40ccbb0f, 0xad5093e265e449a9,
0xd6e6cea5c7385cae, 0xdcd39b916a12fca4, 0x2d5667f7b622b7ff, 0x64f604cc21413c38,
0x35df90a54d628045, 0x20da70e4ffe6882b, 0xb8a62e793ddd8e55, 0x01828b9da66c3f34,
0xf51126c77c0d21b7, 0x1de0aaa3a0c76071, 0x3565dc664b65fa5e, 0x7eedce211bb44079,
0xd7b955e20a021331, 0xc3e716e42da8409b, 0x164e615f92d0ed2e, 0x78fc527a7554b384,
0x663efac6fae91776, 0xec6ad065c4399330, 0xf86994010dbc35e3, 0x62dbc3beec6caff9,
0xac2df2d420b38533, 0x4c027bd7988b3ff3, 0x2bb2ca5d04585127, 0xdf0572d20c82a968,
0xf362b1335e82d222, 0xea0d08feaf494906, 0x9eb1cb9f11656b63, 0x85a4640eafd9d016,
0x93c952ea62a1e2d2, 0x1a24355bb32b19f2, 0x5641f07e5be61c86, 0xc79cb618b6f806ca,
0x1b4c0aabd9dce0e6, 0x3dddefed24e17f00, 0x0503c6b53be8a126, 0x120b2a2d8c1e66f8,
0xa270580c86a13e81, 0x5413d15b09d76d7d, 0xbaf4727db5ff2980, 0x44fdd143d20da814,
0xca73411d8c6fe7b9, 0xb5b01d9e3f74f739, 0x272612acc2ba9b32, 0x51cc5bffae475930,
0x98211d6c632031b1, 0xd42fadc1ac8c2eb7, 0xbf884a8934c3841b, 0x09c08aaa348c0f91,
0x1ccfc4714715bb91, 0x57532d159fc84bd3, 0xf3d5eae5ee3199d8, 0x883ca018707a12e1,
0x1a5f4a23903b7fb3, 0x2d99749c321d832c, 0x79428c48c991c49f, 0x0b288eba0ae89261,
0x624a40ffbaf45910, 0xbeeca9ba3f2a1b64, 0x205437aa57f81059, 0x8118067e14e2e4d6,
0xde5b9a4585d06e18, 0x39e0610122d24e94, 0x70c5c13adf4a649a, 0xb99c623fd2b85032,
0x4899fc05d5d4f8fa, 0x538a90c1a03c3493, 0x69b87fb2b24fba99, 0xf498b5305d37f996,
0x00ded8f787ee2e5f, 0x72a0150e2ace176f, 0x526e87ea868b98fd, 0x2965a46a31fe83d4,
0x140babc924206a50, 0x9b077d8c18df4632, 0xe9d279ad9bef721e, 0x526029d9b17e515b,
0x4466d50c771e178a, 0x6b7eeff2c93d9bd5, 0xb2f22434b4e95b8a, 0x51146e21eb622f69,
0x60b1d9daf80647d9, 0x3363073029c8ee6f, 0x28153f1581297849, 0x00d71107db9a4a27,
0xb04564ed9901895a, 0x66cb133bf6abe80e, 0x414c13c6d405c706, 0xbcf45abb4908c354,
0x752d4b8bf80fb3ce, 0x50a42ffecf806b54, 0xf60c89ff4db3faf8, 0x204ff208ef8ba12f,
0xeacba888ea889c05, 0x7eec3fdddcacba9b, 0xbabdd5b5fc47ad34, 0x2360b80ddb33e0d2,
0x5859db730dcd1f1b, 0x731af6f31a8bf130, 0x2d7b4e37da6da9e0, 0x3177c5dbc28b6e1e,
0x9f6ea1155cc1ac81, 0x20551ed993f28729, 0x0ec39004f9df0a32, 0xc236181679db9ed5,
0x9ef683ec7dd15253, 0xc9959a3e8fc9cf79, 0xdef8192f6607410d, 0x72e53088b42f5e79,
0x46fbb5bac6271518, 0x5a33f965044fbb10, 0x5f9cf92d0e48770d, 0x47a6371777a1b216,
0xe50f0a789c725f3e, 0x4dfe6e2dc179ecbe, 0x25bb61271db9f00d, 0x6723ef7d754cb90c,
0xdc59aab0a504122d, 0xace4beb091fd2a5b, 0x415cbb93d5b53232, 0x4781d1eb2751ee48,
0x457a2c2d653c67a1, 0x2686f01568cf6417, 0x7ce35b3aacdda374, 0xddcaeabc80a10a12,
0x33dfb73c60bd11bb, 0xc4d82c05a1b89855, 0x240f6e5f6045fb14, 0x88c846eccfdb390b,
0xc0ada53d0e0d6737, 0xcf0e2d848b6414bf, 0xfbf8b6d82e08b14d, 0x92b7cacfd220e1ac,
0x2b6c05256a8a27e9, 0x2a3db35729add9b0, 0x596e247da113cc22, 0x8494be40f94de427,
0x178d892376d680c2, 0x9f2584e0e40eeaad, 0x82ed61e42f55d963, 0xa9743a1da41c3838,
0x6a8d46d78ba82cda, 0x3f71a9f1d67dd999, 0xef28d9de93dbe99c, 0x6d2f4b03e4d753e1,
0x7dd46cb40e8e8558, 0xd3369177a765e599, 0x22a6c36ff89cd99f, 0x93ea2c16c766efca,
0xf448b76aa5bfb04a, 0x9cd4a20d061fc730, 0xd6950dccf487a6a4, 0x3b58ff7e1126ceb5,
0xf7bb0069790e8c24, 0x153eb0ed546daade, 0xc443955940a73eec, 0xf1b9845010d116e6,
0x7b5f119f4d43026f, 0xa2caaac2fc3009aa, 0x0400bf2231d980f6, 0x889847cf1317f51b,
0xe780d292154b61f9, 0x09cb12287223e34f, 0x9659f13221c95d23, 0x76b190e0510767d3,
0x445230143f70843b, 0x55e06d8cfd13f0af, 0x9f7ec0fff5c0b64c, 0xed3fa8beeec7c975,
0xdb469201a0ac176a, 0xd52f9ce508670427, 0x37808801fff18765, 0x97876b08fb04577f,
0x4626dff92fe31a87, 0x7e9306c182ae991e, 0x9b4f740552f3ed5d, 0xf260ac16ad5a618e,
0xb79f39761f2665b1, 0xd06e2b04271b9cf4, 0x3bbfecda3f9ecb03, 0x5baa74707f559a3d,
0xdfe12e537e5246e2, 0xaa3e307dd21069c0, 0x99c10121bb01ea71, 0x4e1a36ebadd6b0be,
0xd5cebc177e0978ff, 0x463d5f9e8e729ce4, 0x877824c0cf42266f, 0x021b150ace5e648c,
0x2946c3678309432d, 0x6d67a3af313d3bd4, 0x586b35e5618421f4, 0xcf24559d339621cc,
0x902c0ef7e9667b56, 0xd9d3d01377c3422d, 0x30109b717cb04798, 0x495fb55b90e3420d,
0x37a8a414c01e959a, 0x5c106c49a79c56af, 0x020a7bb04c9d8cbc, 0x04c88903448c4e3b,
0xd84532e065f6d162, 0xab95d0fef6ec33c1, 0xf5e196fde0d44e80, 0x733020e7424057cd,
0x780cda11a95588d0, 0xfb5e6fa83fc9696f, 0x1ca62b3478ab680f, 0xa661bc3f6855337c,
0xa1b870f1f4991c8e, 0xf6598e91f2b24a18, 0x90a0b03f1d5d0ab8, 0xe11f7c52d49b2994,
0x909c9ee31bee3d84, 0x190022760e06eadd, 0xd19d1b33703cc985, 0x3e03cc571f0f56b2,
0xc92173187bc107b1, 0xa28844263458eed1, 0xe675aaf903a494d7, 0x4827d6d36a588f5a,
0x333259248eee45bc, 0xabe9076fd02e3e7e, 0x1f65553f546a405a, 0x23142d6193beb6f4,
0x34e89bc34e6c5b90, 0x7d71a154edffe99d, 0xbd57d2a4be542b79, 0xe92d9832edc5dbde,
0x40eaa280dbfe7e8a, 0x5e9702e10b56bf73, 0xb207ae2ee4c55b2f, 0xa58deed5f938254f,
0xba5aa9f7e10880ee, 0xc592695e86d0831a, 0xc8bd11009279c702, 0xf6a27d3c98a53d69,
0xbf47f5e427c6e2a5, 0xb8dd49f706529353, 0x9d928374d5e6dcfb, 0x1f8c22b3f4983d29,
0xe40d64fc483557da, 0x47122186bfc32686, 0x18cbc900da69dda6, 0xf154fa05c947dd3a,
0x13d790a028c760c0, 0x3c0e94621f5240cf, 0xb01662b26ba5dc98, 0x498ffa76bc80656c,
0xa94c013464e96ff8, 0x95e058e99f12d947, 0x6cbb1d2722178d3f, 0x67449b0eb00827ad,
0x9f0f1eadd530a958, 0xca5c8f0e8cb8cea2, 0xee7992e28425454e, 0x41f843a5434a8d81,
0x1e70d629e89ef62e, 0xe73d7ac161925697, 0x2afcafc126bafa40, 0x839c8541e17787ca,
0x059b4a1347775dbc, 0xd0e8e8aa2a02b126, 0xba19423ec103d8f8, 0xa269cb5c4b392621,
0x49e1d81c1715a816, 0xbe8128262c06b176, 0x637c94e2611aa824, 0xe79182e180fbfd1a,
0xe52499e8db72176f, 0xb14c5c8abd81059e, 0xee85302384c91e38, 0x2415e1e03acb9b3a,
0xce9b0902f0b16591, 0xea871ee4ff52d791, 0x4dfe7d9f354e97c7, 0xa423aebf855a966c,
0xfca679f5ab43e7b8, 0x2376f2c256580689, 0x75c007c9cfcd3e6b, 0x007018deb51dd51b,
0x05741b4392ac9f46, 0x4219f55cad9fa1e0, 0xd34fd83f3a05b018, 0x3258fcb6e2caf401,
0xd3706a047f3a8bc5, 0x7282e95f1ece0b26, 0x2629595b3329cfff, 0x109bc1edf5a9ec88,
0x10b6f17cc0fb80a9, 0x021a31935b546561, 0x4a0ce2ffda185806, 0x646a4a57fb11c849,
0x336eff842bb4d613, 0x91076d5a5e281e69, 0x95ac47d63002f6b2, 0xa689c31c90ad9f20,
0x47a6f9c6c3039c06, 0xc8e24f56589f6129, 0x1cfb5834ed4854f9, 0x66bd581ff4a5139e,
0x0a307a46aad4e7a7, 0xc419c108f8fc0006, 0x789d491b2883ce29, 0x9470ed56758d6909,
0x2a013295b0530545, 0xf84ee893b374ce5e, 0xd33b40c8cf50e563, 0x5d604a36907bf253,
0xcc86f8a55fd58aca, 0x866e0a4db7bbf60b, 0x06dadde4854de211, 0x4c919fdd2db95152,
0x203364852994802b, 0xe40f2646072519e8, 0xcfa3733d49a67573, 0x4d43c581968d40ff,
0x020261c0e38ef90b, 0x07ee52c01ccc54f0, 0x94eadc04211a92d0, 0x085374ae06151475,
0xa1944c72d1fed7ac, 0x2e61e180ba300666, 0xf66a49c2e672a1c1, 0x1dde22a920be5309,
0xf306bfdf1649666d, 0xea1962f984ad97e6, 0xebb447fa2e8367f3, 0x2babfed61d5c4c84,
0x1d85a5d9d87386d8, 0xc25d1bb63f19af12, 0x4d0d3bad766d283c, 0x0cc0b000e0364e46,
0x3250646806e2a32c, 0xa42b02227b68de06, 0x7d018af3aa367513, 0x4dbe3308e9f529a0,
0x7f0181b0d10c1a37, 0x3e68e528ca56a94b, 0x69abd2aabb33e533, 0xb4a78f483f9b00f8,
0xe04772e10656ebf2, 0x08eff26610d421de, 0x7dfca8e4078a34b0, 0x73ad97d7909ac3e0,
0x87b73920626bf7eb, 0x4c9b95c4cae699c4, 0xdc6799ec60217dbb, 0x818c6d1b6fc5ff4b,
0x1f74545f51c0328a, 0xd00e5e624e442b79, 0xc3fa2c972c5c1bc3, 0x03a1c2715335c907,
0x9c490192b66167cb, 0x3438986b5b13c999, 0xfdb9e92495267c5d, 0x01ba8574f26e6e60,
0xc31bcee671043164, 0xf771215b0ad446ad, 0x1fc1078db0cb7fe1, 0x5e1e5431ef02de38,
0x7b8cf33274bb42d8, 0x528e850451492ff0, 0xc128a5221dc49829, 0xf6cd5baeb93cc8ac,
0xdac5bcaa0597a5d9, 0x3c569072c708bca1, 0x4c13c4e69d08e0fb, 0xb123cbb52dbb5188,
0x7631e917bad7ab7e, 0x6256e54f060aa039, 0xba81baf06ca42a4e, 0x72a0210cd661dd19,
0x46039cfc6dc4f3a6, 0x7c426366ec1757e8, 0x57b41e2fdf60921c, 0x38d48028b54aa707,
0xcd9f0dfc8b25c5ec, 0x9bc25c6e29e24a51, 0x3698f35b9332be85, 0xb490da53e89feafb,
0x2b27a7fd9418aa2d, 0x8c62bd6f0d796721, 0x967ca3257ccfac36, 0x32f8fe66de3e55bf,
0x1a26dcc5d403afe9, 0xfd52ab81ed6f7465, 0xc75a25a36e48113e, 0x027bb33cec1728b4,
0x4d7df30f98e42623, 0xa792a4c2eb5e3ec6, 0x89a90212ed111e77, 0x86bfb86e3fa4473a,
0x30f7ca7a695c430a, 0x8f1a47cf19a6ace0, 0x3d54172fcf52386c, 0x05b18281ee8d51c7,
0x6b58e01432a2052b, 0xe83fbc359c6829f1, 0x82908594cd40fa05, 0x592d56989165a9e6,
0x2065db5008ec360e, 0xc1259a1acabcab83, 0x3da4135656c9fd3f, 0x99d67d5003717b6f,
0x0d246c3b2bf73968, 0x19b418cb701a7428, 0x71c07f7fd3f02724, 0xfde141bcc4117143,
0xc7ff52916048096e, 0xe6dd6f3e83b03d45, 0xf615d14fe9d236e7, 0xda97ec7be57ebe9a,
0x558007425a37a097, 0xd7007a0dc16a9c21, 0x88f1eecf2fe8a303, 0x2a41e3159523eda3,
0xf6bbbfcbe32da0a7, 0xad9f8998d9b0b659, 0xba0dcde66a3fa571, 0x084d1fc4236ba76c,
0x1e7b0ab173823e0b, 0x27ff05523d74ea43, 0xc2a9da8be6390ef4, 0x881f2154179089f3,
0xa46b0387598e0173, 0xc6ed5daff74323ba, 0x6340bba4ffecfd2d, 0x802702495095c677,
0x404c15f9992679e7, 0xbd090123145673ea, 0x0601a806ba4596c3, 0xd0fd3b76a940737d,
0xf357cca9525daa33, 0x51fd8aee99dcfea1, 0xdf391f8ce0828c67, 0xd90937a8cbcb2e18,
0x28911afc17aa443d, 0xfc27c92441385ec3, 0x11929641cf493c00, 0xa8807b842e2e7afe,
0xf24ded425eb56586, 0x1e581f0729804ebc, 0xf841bdff4f815816, 0xccb34b71af841516,
0x3bdff0d3d2e42637, 0xb77918f006c04d8a, 0xba134e57e3c95927, 0x01cd483888b78ee9,
0xa8b3a2c5d82f7116, 0xd39ca587ccb58ac5, 0x9c3c662156b4af80, 0xdd98da47c0abb777,
0xa6f9c510be7176e2, 0x96aa88205667fe12, 0x62bf037b395d6cac, 0x0788888bd5e45b66,
0x520dff35e0c87278, 0x4bb162251835b4ef, 0x31b1e8cf070aa857, 0xb88dd111e01ea6ca,
0x1da9d43da36514ac, 0x3070129125e823bf, 0x10db89b25fb49b14, 0x541de82488beefdd,
0x2374b2f8c136b8dd, 0xdb967534c109c5ca, 0x6ab9ac670f5d95b4, 0x8f671c38cb69560e,
0xe3b9356e27cae84b, 0x71a26536a94c2178, 0xb981d98bdad90b42, 0xa7737a2bf3b895e1,
0x7956135fdfe3bb39, 0xbfc4aea536701f00, 0xbfa77621164c27e4, 0xd090e133dcc9f8df,
0x9cf4b30fe5c77d96, 0x5569faa83b6d7076, 0x365e3af98a952adb, 0xb07d3e52b300ddca,
0x9620b0d00743ad2a, 0xe74acf8427f122db, 0xb819d02a30fe4a8c, 0x818e8a24f3a1c3c6,
0x9126518fb26aa458, 0x327c8681c781b247, 0xa5e480050330cc13, 0x3a3f3a00cbcf5ef9,
0x2b37fb383719ec98, 0xd4ddbc3eb910c43c, 0x71971a79119017cc, 0xfdff1d970413dd04,
0x339c394269d04642, 0x7f7ab88f0330589a, 0xecad5ca203228a41, 0x8fcae7fd1bea1fbf,
0x1cf9892a71413d08, 0x89fe2466439f690e, 0xfb8f76bf7f667576, 0xecd74be2ea1f9f6e,
0x4f1b01a5c3d1056c, 0xf7053907fcc7c4ae, 0x2317293ca18d6da3, 0xccfb652dbc010409,
0xab0a9a0828c909a2, 0xae9205fefaa950df, 0xd44c1726c3be4ed9, 0x9347813eb6dd28b2,
0xf0bf0d403449ec2a, 0x7ff2a7fb59e2e1f9, 0xd38fc88e57119cef, 0xc44d7aa91607e906,
0xca5d7d5b1bd8c0db, 0xb3bb5e61058b6bf7, 0xe969053e20a4f165, 0xc7cef08dda54cbe0,
0x01f74bf955282c05, 0x95a1135d3f9b6569, 0x4bf5bf0e85cf29cf, 0x7bfa44c5277da909,
0x7c211995704dd9c0, 0xf671f43049a302f2, 0x0bd5e5c0f14887d0, 0x60c6c1afbf0f0a4e,
0x6c96f9e252be9e47, 0xa30700f418162677, 0xc9ba6d3b5f661a71, 0x4f21f3066c20c7f9,
0xd78a03ae9f56d6bd, 0xd41a0d42df6def57, 0x673612fc7ed41543, 0xa5de6c73ca1e839f,
0x52171e1656560c80, 0x48cddaad2a6f50b8, 0xe6432d42663586b5, 0x7542d8747f11bace,
0x13878728158d0f2b, 0x7c33ff11c336c8f5, 0x224c42d7ed586107, 0x2f69585137acb76e,
0x2c3b780b7b49541f, 0xe8c8403f99f1088c, 0x9619786690bdb39b, 0x71e6f780d500942e,
0xba293f02b7ec7c31, 0x9e775a56163d60ba, 0x889964209259bb1a, 0x5f09ca6197469bf4,
0x3c0d6198a8d17284, 0xf4b04e61f5f3d83b, 0x660e196e4102dded, 0xad30c74fefd8daec,
0xa287ca1b53bcd6b3, 0xeb31468467d14f15, 0x1803e0fcfa3759c4, 0x463ed7002995f12b,
0xeb8d23602d77346e, 0x3c2c740d653afce4, 0x3f84b5b3a47f571e, 0x70a9c8a3e9261dbd,
0x126271164e64ae28, 0x262886639733289f, 0xc4bb2cd30bd80910, 0xf69ce6565c59e0c1,
0xd9e6f58aaa8adb62, 0x0ea602be6a2f32f3, 0x7d59cad10a01803e, 0xa157204ca0fd03a8,
0xaa09f8e8ebe31823, 0xfe569b92ef3ff553, 0x34d437459ce3f123, 0x8229313fb5ff507a,
0xdbea553ff188298c, 0x7b4d71f99ec8cdf9, 0xa5fc8d9541cee13c, 0x3260fccfe26138f6,
0xe9cdda0088736ba8, 0xf68d3ed50fa2abab, 0x8120fc7835bc1ad8, 0x07c6e4b9e3efae6b,
0x8090386af4ab9023, 0x059652bdf4fa9b20, 0x0057e127e3e39eab, 0xd146cffdb9d0e4ac,
0x7e1b457ec70050f3, 0x34b4e4c8db1ed921, 0x1c37217679829216, 0x8bd2ea275de42cfe,
0x4f2445358745bfbf, 0xb7fdb22b43d9ed26, 0xcb350fe29f9e7b27, 0xf1dcab7cf1709d57,
0x47f7b2df9a71cb44, 0xbc973febbff968d3, 0xc67591cf7333eacf, 0x85ece1c4a0e14093,
0xcc714ab3b6f47531, 0x1bb99cd8a348a85e, 0x247e8301aae6bc8a, 0x9beb36005325bee4,
0x64d4de5098e14469, 0x351c70426ad04682, 0x210c7a9239815db2, 0x12c000ee7c1725db,
0xd6189b38a58901f1, 0xa01f8ded5ce6cafe, 0xd64a48963d8b3d4b, 0xb1f751b97be0fe7c,
0x3d1c7bd96cc79c55, 0x1b5e89e7e32f515d, 0xc54d13d1c351aaff, 0xc32751e95a283af3,
0x83312af72f9ea759, 0x04b9352e6368117d, 0xb501ccfc2286f90e, 0x35537873b9c2c8ad,
0x96a73ba3404597d4, 0xd7211d2c8ee19a7b, 0xa115bfa2bb85bdea, 0xb334683bd1a209cd,
0x111cd3f00fd5acb2, 0x9648cc7a00879c9c, 0x61a3946cd61d2596, 0x3ccc4a4c90eefc85,
0xc0ebf7602c9807c3, 0xf1db93f9eee10304, 0x2201acebcd536d03, 0x8ff4f3860e1f172c,
0x1c79f304102349d3, 0x72aa7fb1077e80ee, 0xa0f565e9bc004ad0, 0x96ba74f0773fd5b9,
0x7ce7fb42c193cb6e, 0xd3ed2362a55b47c6, 0xe2b6606622ae7aca, 0xef6c4d0817dbd7c1,
0x4be8271e9e449610, 0xae8916f72ce0c551, 0x8beba29b9503edc5, 0xb4ba98a0a9dbc28d,
0xa25548bdabed562f, 0xc41c2c36d371aed1, 0x4a69e935df646cd6, 0x72512589e78ee5f2,
0x04a833ce058796ea, 0x04903de9da66c0f5, 0x75d6d83ae8dcd8a3, 0x774631271aff1402,
0x5d63fb92710323ea, 0xd47245ee28cb1a7e, 0x8bda24eb944f24a0, 0x1217246b7d566412,
0xe11d8f7c21a84e84, 0xeda8eb5facd06b93, 0xbefa5f580828fcc8, 0xb8e2242c1c58f8f8,
0xa09d89f069219db3, 0xbf829e263f62c37a, 0x0b99207c6d836e97, 0x3fd8661fc50a3f30,
0xf404e13fa33c8dda, 0xc2ea108dfec0854d, 0x55760e813c3573ea, 0xf17c94ebad517d29,
0xaf07337dac11f006, 0xddb9e92d2e8fa483, 0x5fb9dabcacb0d849, 0x8a200380f82c0629,
0x9fb826f075c11f74, 0x0590d52bea541ffc, 0xb9e3742c51dfd804, 0x9814c6cd967c82e4,
0x14eaa0cf6ecb1240, 0xa6e2d477fa834ebe, 0x6a3e5aa64f39eca3, 0x0b2a5e0080311d4d,
0xc2ef7569f975bd24, 0xdae2a608eb817861, 0xb78cf43bad00baef, 0x75f0f5b5e494b67f,
0x9ac7fa57821a872b, 0xb10f561c071a8b21, 0x43a0ebf2c32f50a3, 0x8d78fafac056ac8e,
0xb1174a2630d06a98, 0xb26143fa1c8f3ba6, 0x4da0090e9f86d136, 0x55ee567016823d48,
0xee69fab4f1d2b8f5, 0xa4dbf19aecc373a4, 0x68b3b42e51e967c1, 0x5480d1af12462163,
0x2ca2ce808aa84a03, 0x0aebbcec43419402, 0x48a850139ab0d603, 0xd2951ecd03b50489,
0x0672735ac41d421b, 0xabfa2407540437e9, 0x5370686da6e4040d, 0xc3d0b6c8aae9eca6,
0xf99578fbf67c20a7, 0x1dd2bece9621c649, 0x40a02641d579ac42, 0xae3bd888fc37c8f2,
0x040493804f45e6a4, 0x24aa374a9e59d9e9, 0x36047abbb144472d, 0x0e255712cceec542,
0x6ff01230483fef3f, 0x2cff5040a6aa2817, 0xc5368ee7f062baac, 0x68238b4bd643292f,
0x161fd0339b626b52, 0x36654cdc77fcace3, 0xde55500445eb7d4a, 0xdc34aa47d4b83b2e,
0xbf58a9e3025dced1, 0x6e324e501436bae3, 0x83a646297eee6d9a, 0xd9ff7f06572c8984,
0x6032fa2d0044880b, 0x33302f5166bae5cf, 0x707b6340d8d107a4, 0x9e343e319bb58fa8,
0x4fe8af87987b2fef, 0x56c20cd316e21a80, 0x889819f09a4cbdca, 0x6ab218c485c81c36,
0x7b0d9905dd239fe9, 0xfeb245572b6a83d9, 0x73293b451411a655, 0x8b9d45ce35e7a7c8,
0xcf73294aec97abc8, 0x9f2505504d9f41f5, 0x278063c15cffb38d, 0x53844a31ba22cb68,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x834dbff6678337ee, 0xc607e811fef0785a, 0xaaefc62be30a298b, 0xeb5ca335326afad3,
0x9774fe1384af54a8, 0xca4b6ef5785388b4, 0x1346c82d66f6c642, 0xedcc0c2aaa2d53ce,
0xb9dd9b739a6a8ba2, 0xbc51e19177104dc9, 0x1a83634213237211, 0x5ff69f51cdcabeea,
0x6dfbe5b4c0172223, 0x187a6a8b284fc824, 0x33d6aba3aebf41c8, 0xe026b4eb8795d856,
0x5d020728bd7d86fc, 0xd15ba07e713c1ac8, 0x7b8a85468316aa0b, 0xde53bf4a0921c5d3,
0x3bacf926314274b1, 0xaa6473f0e489a20e, 0x1a35b2266183f440, 0x27e38367373832ab,
0xf4b475a052f7f6ac, 0x1319fb286978fff3, 0xefaffd23eb76cb67, 0x4c3514b07e7fc4b2,
0x6b88c08b50794140, 0xa666ada647622f9a, 0x8dc0fc40a2e7fb96, 0xb557a9504af4ad12,
0x423066e6cb7c5af7, 0x6d4aa104ef0ddde1, 0xb50e24f20c0fa712, 0x14bd6aaeeec4e1f2,
0x4c835329efff35e1, 0xbcf4baea96e851fa, 0x9a0f11623885b71d, 0x166707a74e19411f,
0x932ba9289cd28601, 0x50fb36f017896b35, 0x68237e2f3dfb90e6, 0xba2ea6bc3cd9a39c,
0xd1ad36cd23fe8f01, 0xac8b2ab8cf0cc4ce, 0xb043ffc82b2b5b63, 0xbd9162720ec3755c,
0x9b708568bb21cb79, 0x31493b87821d5c5b, 0x22f8418ddc2dd569, 0x992028fedd061736,
0xd942c46b5191d9ff, 0x2bf067df5511345d, 0x277e70715aa2e38c, 0xc4d3dd2c649895cf,
0x060a7f6eac0d6b6d, 0xfe7d6270c845cf26, 0x964658cf2ad87cba, 0x467f1493cf5f3ee0,
0xcd45853b3b56e262, 0x83ec7aa03fb6e673, 0x0efe037b89445388, 0xa1a175362967cf21,
0xed0b054915382916, 0xed71547e28b9726b, 0xdd8d0423d588f46f, 0xb49596f9186bb489,
0x7b0bb2912e6e0ad0, 0xb6e3a6b5aaebca7c, 0x5d47bc7c5ec4ccc5, 0x615b74d006bcee76,
0x37e279b70bdd3234, 0x912cee2fd0d0a4c0, 0xd4360b55635f0474, 0x2e7c64035873a344,
0x4f33e31a6d46b307, 0x9ad457a3f9f8bfbb, 0x4ae7ce9df7a244de, 0x3c3d8e0eeaca457e,
0x31e2d107846c72cf, 0x5196826a7c06eb69, 0xcaa792d5214b5b92, 0xe58bd074bb238a83,
0x3280c94e3325797e, 0x3bb4edce17974073, 0x2e0b3f5245cc5177, 0x23267f698e609923,
0x6d654eda0fc9a12e, 0x340ac26f7b46d1a5, 0x45deed0e6a65c721, 0xd2d96ca1f382660a,
0x33384f4b1f2d1ac2, 0xc58b41a266ded10c, 0x1a6eb060519479e3, 0x9c4595ad1a60e9f5,
0x221b517530317642, 0xacf0afcd376d30c3, 0x08fb0bfc4b86f3e5, 0x747add2f86cd7c23,
0x7cbbad6fe3e36cf6, 0xcbb66fd9a266e57c, 0x8dc9dc9d0d111b28, 0x031c17cb5d40a944,
0xa8dfd662ce5bba5b, 0x1c6fc1a282e49bcf, 0x8d3d05c2fc8bdea3, 0x51e25c00b61b8154,
0xf1625614357f93f9, 0xe1fcbb86270d89a4, 0xaa0204a7d66a66c4, 0x84cc776bfcc8d5a7,
0xef2b546422529f8f, 0xcb6cf3fe2a406bb9, 0x6566ffbb8d4ee8a2, 0xfd6508248a7f8a5f,
0xc06fe2d06b12a423, 0x197f3b8ad3dc4452, 0x9c61281388d05818, 0x261ff495f9228b2d,
0x69d3e0a876abb7a8, 0x132c1433636d1c4e, 0x6539d5f259b4df32, 0x4ce0b6759b214c13,
0xe330bc9b4ef66167, 0xfcbd3f24a2df334f, 0x048285d14074ce86, 0x1390ab9c7bd9e91b,
0x0cb9235b41fa84e9, 0xca99e159ae43e247, 0x48c713975061cd6e, 0x71278a093b84c968,
0x9ccadb3cfaaa12ff, 0x63cdd416fa1af8ab, 0xdbc255d0e5ab5a5d, 0xed3136643f942f1e,
0x9de8cb41dae09c7c, 0xd2ae9b77f9ab32e2, 0x48d5b61d5802b496, 0x893caa4ec91104bd,
0x6e9f0d9322bce488, 0xc39a00dc21338bc9, 0xae348034d9903b7a, 0xa5ad87f9646e68d2,
0x4e7f38d77fe247d2, 0xcb16934588ac9393, 0x1752e6f5c995b0a8, 0xc2bcd27f864eef35,
0xc549ed814286e7b2, 0x3aef8b12e5ee7ef8, 0xfe1e048b7bcf26af, 0xb95ade8441ab150d,
0x8509f758fd95f8a0, 0xf10800ad91e63003, 0x4c1329aaa056fc71, 0x3523b1ce29d78dce,
0x24ed81165923ccf5, 0x59e6b7cebd213931, 0x914ad94282bf8af7, 0x342a752978122c61,
0x06712352c34318d7, 0x9585bbd9a27819b1, 0x290a347f8d7fa655, 0xaf0aebc1dc20798a,
0x11d7e55a47627250, 0x5816f7d327b5cea0, 0x4719b3b7d732d136, 0xa0b4bfbda2519db6,
0x5532d6daa3b75698, 0x8321cc4a81ef90be, 0xf38a78e14ffb463c, 0x1f609818617df89e,
0x9abfd2de6770b121, 0x7c177385315f17cb, 0xe85df23c7b81d190, 0xf3adb4857b454fc2,
0xa5444030faede6d3, 0xf0422412d517829e, 0xeb14c0d39ee9045a, 0x0c301ab47fdb44a2,
0xaca2ee4e6786f072, 0x1d87032d2f334582, 0x345fe5516c32f166, 0x74ee80ae0ebd7960,
0x4b73b3bc02a6e29f, 0x70b8274f9418ffb8, 0xf01022c3b4042db1, 0x19455881d2b42ac9,
0xd5edbdb61d20cf9d, 0xa6415bd817d4a3ca, 0x3c62a62b1fa4d1ea, 0x651457f278665943,
0xc9498001208b83d3, 0x6199028c8200f975, 0x711e5a0ed13ff0c5, 0x1f0285a9d183cc30,
0xf29675cd0a36ecd7, 0xb7cb5bdbbf4d666f, 0xd7875f55618fd235, 0xecda9ef68c587561,
0xfe25a100fb188178, 0xa82c75c8c949e3f7, 0x60725c0ea385f9be, 0x4403ee407e4bdb22,
0x0a3ea67d44343dd9, 0xe556e011299e0ccc, 0xba5798f6e65b0435, 0x73824b5c2b50ad4c,
0xa09b100821fa66cd, 0xf1eec9f3886384ab, 0xfa208374dd80459c, 0x8e24516c85106c37,
0x572cd306a60cefd9, 0x096f95aaa9517214, 0xf17697ec1a00392e, 0x17139c3bf7fbb785,
0x3e680d3d6bed4611, 0x8d757b5a6f01c1fa, 0x11e98a2ed9a755d6, 0x0f0f0b22cd26393a,
0xac8db9c6f2967ede, 0xc8b6519b6cfaa5eb, 0x47d39eb78777ec37, 0xdec11d458058d973,
0x6145626a9c4bb00b, 0xef80302ab5dd292d, 0xf8d0111620fe7faf, 0x9432a0d5efeb4ed0,
0x2fe0a22db22026d3, 0x8ac10fd791ae09ea, 0xf18e48939d42342c, 0x72af9bd2482dd5c9,
0xe1b2d3d63310861e, 0xc3c6d8d1198c676a, 0xd4ed618ebd765fbe, 0xec1227c11b8ac80b,
0xb2b5ab35a85945ad, 0x844a44e35868c22c, 0xd89319cb421f4c8c, 0x5daf65e96a41e286,
0x369e1b4a84bd8b30, 0xc2d183e647dae27d, 0xab9e0dc9d338469b, 0x7316b2e32cac88ee,
0xd806bcb9524b211d, 0xcddd2192951440d8, 0x77686fafd0d7e10b, 0x791a76820f073947,
0x7adf1f6eec0b49b7, 0xbfff9310ad564ce3, 0xc5d423f9cec8d505, 0x90987a8e587fffb1,
0xe8544f0024ad27ef, 0xfb62130b397e7efd, 0x588431f2b1f447a9, 0xead0c17a8556da90,
0x4745b8f2c7c02ad0, 0x26e60d2ddcdab226, 0x2e68c2ac9a0206ae, 0xffc6e1b678a3045c,
0xe83fdc122eed9851, 0x27f6147ede88de2f, 0x5c2d53ff1bace11d, 0x1b1a9e6c638453a8,
0xf72aed1ec0a6af19, 0x230157bf2561a47f, 0xde0424bdb6794fcd, 0x48729471c95f1dcd,
0xf6a0598b4772caf2, 0x323de456af48b324, 0x92d0a06ddc83cce6, 0x455bb49d0ace2960,
0xfd6d2430faaafa84, 0x1faf50dd97bfaae1, 0x41559a930f226689, 0xf7853dc5ee820c62,
0x1827900add846d09, 0x02c6c4831af2abd5, 0x118de37cf6e8d132, 0xf6333484d47de9ca,
0x4d0a62e7ca2f7f61, 0x85edb0a80d575ece, 0x4b489639624ea886, 0x67b585f1c85a901b,
0x546d2f88d27b7748, 0xcd424665d509aecc, 0xcab6296ef0cdf1e5, 0x7af0dee910218c3e,
0x1047a308cc6e03d4, 0x4cd57159c1187ba5, 0x122e80e0f2d577dd, 0x71931ebe058bb764,
0xac86c688a0df2953, 0x6fe9552c242487ce, 0x0015f05835e26e47, 0xf09f5e9497fc613c,
0x4b6d9a1187e2a40a, 0x2e56c3543c0de8c1, 0x2e7c09583d44fe58, 0x7ee4a21fa64e639a,
0x072b357bb1329e36, 0x4b29424b427b85a1, 0x505c2c29f4f1b25a, 0x037837f7d1fa8a61,
0x4691aa02e724d914, 0xf9612578c5fd5985, 0xe71ac574140e74e8, 0xa387ffa91cf64056,
0xbb54b110e1493c0e, 0x309232ba427c76c8, 0xe24e570c52a97048, 0xf9e2dff7a6ce5794,
0x74e5b00b8ca30500, 0xa3c2a5f3a031f239, 0x29f530ab8ecbf939, 0xaf40c098cf39e1aa,
0xfa62ef0a667201ff, 0xb8aa4fad52d0c41d, 0x4fec2215b16214d6, 0x8a159680b7bbc775,
0x2570b9daaab74ed8, 0xb2d3427f63c5b3dd, 0x5c20043de0a267da, 0x8d172f5b8c2e54ca,
0x98e7ce45f5971c47, 0x6f0f2425a354f34b, 0x5ccaf33d8c52e73d, 0xe652926cbf5c3151,
0xff86e5d00b0bd563, 0xa6f53b99bf8dd888, 0x9b86f5dc3a43e6e4, 0xdd966504239f52b0,
0xd28cf01b0a2049e2, 0x63b06dbc16a0549c, 0xae3ef317e84e64bc, 0x7bb18aae5a9aaaae,
0xa256f03bba656034, 0x6f3d836b97e338be, 0x686572916d31cfb9, 0x8af4c2df94db844c,
0x0f0c1421b1d4b71f, 0xbe2c583dc659000e, 0xf073f0aab986e8eb, 0x00053a1bd6cfc0e8,
0x582b88988d3b68c8, 0xe68960a141e4dc7a, 0xef0543d68502c491, 0x17a335260135fae0,
0x7e36dc66bc16dfbf, 0x5499030fd1d3b0d8, 0x5fdc37548e0699d5, 0xf6da855de190effa,
0x3fd075f61c440456, 0xc96590d9765e3906, 0xc4f219279d340900, 0xb6d7fe8e91abcfae,
0x8c3de25864b469e8, 0xac84d786a8695195, 0x8503722387943bae, 0x256a74abf7e359b7,
0xbbfd5dac02ef24cd, 0xc7c5bbe1c6822740, 0x0ffc6c69548aa8a4, 0x5dbfa0fcd7701ae7,
0x00eb1a55fe2ddc6d, 0xb26d5ae633b92854, 0x28c933684ecad3a2, 0x31da221c04bc72ec,
0x9ce94ee5ac3475b6, 0x46d0b101875805ea, 0xadf76505b132f324, 0x976c7574b87b87a7,
0xe68e60bc1c25f907, 0x497c79d5b9438fa7, 0xc0acf4e2598ff65a, 0x5607c17d0bae1b19,
0x5d12071c66120577, 0x772f87b78cc1c13f, 0x38217f631a9b1b76, 0x741772bf483cd064,
0xbb6474471dc2d18d, 0x45579fcbf21fd86d, 0x4acd4f32b958fb49, 0xdae690181a8f3e66,
0xf92bfbea83e0a1d6, 0x1a9adcdc0e368995, 0xe15c3be442c50e1a, 0x567510e046f8db31,
0x101bf54e0f05183c, 0x380546174e856d8b, 0x6447ecbb57be82e8, 0x6e66ffb820a7ceef,
0x7188af51791c6fd2, 0x9fcdf63f9ff07fa7, 0x90d87bcf2d2dec3c, 0xb16be6a7ac5c97f3,
0xe4270ab82aa3ed95, 0xbd850eb7914f3b52, 0x7869e4362642c796, 0xf905a0b439c3977f,
0x2831caee108c3335, 0x9c568ebe238cf0c5, 0x6d52ac420d69692c, 0xd0ed9966e5063900,
0x5335c62747b59f47, 0xa18840615f2e1ebc, 0x82b544aac2e82cce, 0x4bdc24c9a5ac853c,
0xdaa8512081f5d393, 0x296d27e57cc8d0f0, 0xec6f6e11f18be957, 0x1156dfcfdc26f0d5,
0x949c759ba60bdeb9, 0x301578b4a3f22614, 0x653049722adf5796, 0x8eef8ccc23e6c1b9,
0x64884fe5ed416e28, 0x41c7326cee44328c, 0xfd820dfc3de01d87, 0xcd15e6e37f55e84a,
0x3776fc058ff85076, 0xe75b7374681b96c8, 0x67a267873320bb1d, 0xc217b6c69827a6df,
0x9af2d19cefe29835, 0x4676d16685f1ab32, 0x04d850c49aaee825, 0x8e81b03e42b43487,
0x21b81bba4881966b, 0x7a803bb31f6c245a, 0x7922420254cc66c3, 0x58ceab50b983ca9f,
0x1f4fa588e5e53230, 0x0d360325f2b26d72, 0x5a503e16822bafd5, 0x7eb1bb9c18b9f2aa,
0x0106b60873136d60, 0x76515e04340ee9a4, 0x314a28759b0a911e, 0x1f5b35a1ae4a7f81,
0x5098dee8c62e27be, 0xc652ae78c3a86eb2, 0xe177af724f517cfc, 0x6da41fd8249423b3,
0x99f54220dfa36f60, 0x04d3abe5502ed501, 0x055942122f3ff774, 0x0aca15737996a982,
0x8cdf36e00fb40e84, 0x18e7dbf8829fab49, 0x86cd07b8bad6f876, 0xcc461a88c853fa90,
0xb2181c38d4b1444d, 0xf27e3e4f88e2c17b, 0x8976b16d247f894d, 0x495417c82c5b5f92,
0x6168f795746f53ff, 0xab72fcc1829c7431, 0x491c498e83b05d6b, 0xe0566db638d17e28,
0xf7b7138ecd53e772, 0xce6b2ed9885ff54b, 0x7cb6aad48764ac15, 0x25bb2a692caec4d5,
0xc1f8a7d86949753d, 0xaced07b867a041ca, 0x4a96286e44c06fca, 0xbb9e643adc5c4148,
0x82d152060a560804, 0x2b2c83048a2e6c26, 0x4d1503163f7ae25f, 0xec1dcd5e532fc6c3,
0x2d3ef0e95522871e, 0xb7316f9cb9990570, 0x850d0aedee195dfb, 0x34b1508a402f18d8,
0xc1f07e202b3c5d95, 0x7e4a56c2ac2a9f14, 0x9bacf077f1422a8d, 0x3aa44fa2e92ae1db,
0xb1f3701f42d58b6f, 0x9834b6245d36109b, 0x4e73a3eae0a60e12, 0x85cc652e677fd390,
0xec73079a8347f096, 0xedef0ae1d6c7d829, 0xa3287756760fbf0f, 0xf1224bf6863f556c,
0x3b51028c6725acfa, 0x351f8a45c88ece8c, 0xa51d86bc6a5e7c7f, 0x2c3c12ffdcc59b15,
0xe795775769620f48, 0x1704855fb1483f5c, 0x3057d55201bd0a8f, 0x050762232efda61c,
0x513e7705af5347bc, 0x6fbbdf25614c15ec, 0xd96c6f36ed55400b, 0x6242744f1f95fcc9,
0x069189ccd8fc1915, 0x15f1cd37ad455d34, 0x98316057fb7653e5, 0x3c26c159e8630d1c,
0x1bd1dc966a031341, 0x674ee0ea249a94f5, 0x8d22c449fbd78c25, 0x092d89c822cd79f3,
0x3f637847d7fde301, 0x4567904474b901a8, 0x9d5c10ae67d3379e, 0x896d59db3843a8a9,
0x8176b2efc6c04118, 0xa55482a741cdf640, 0x89dc5670a2dba5aa, 0x648c3cf4848bf82f,
0x0466b4398ade15d1, 0x0697924120c74be9, 0xc100086d25a6cc08, 0x448d559904509c90,
0x142ecfca095a7629, 0x61f1644225154f04, 0x115cf3b7befa7131, 0x37ad7dcca404c5ec,
0x5cd8439d4aee100e, 0x4a96258495cf42cc, 0x69e2a04cd993ee93, 0x375e23d74ff5b885,
0x5377e13299113806, 0xc578e11da2b9e7ac, 0x50deaa94950e035b, 0xfee5852e44cddca1,
0xa41939a880da2a1c, 0xded44ebf39c030f9, 0xda1391a366ff953b, 0xef36b33e02be3811,
0x1befa81aa41dc12b, 0x95597bf4f67d44cb, 0x7949a4c180749247, 0x3389e0a207502389,
0x53ec2aac3a724d3c, 0xa53803de17dd2a04, 0x805452524d3001e4, 0x2ff04ed1aa7c45ba,
0x6dc2e3396061bf4d, 0x89305cf6a85b4c06, 0xebe02688e4ba769b, 0x0b1f19a0e3231b27,
0xe188402466c68416, 0x127b27d8d97fd131, 0xd215526b20e083ff, 0x4b15fa79982c13b6,
0x1e2fff2a692cc961, 0xde4e80fe6a827bdd, 0xa0338f7526c97e60, 0x3ffa9d9d5ec555a7,
0xfebf228c37db2238, 0x687007a8e014237c, 0x7ca5ebe3781dd59a, 0x05b46050d20eeafb,
0xea8041262852de2b, 0x6eb1607f8539536e, 0xfcc10541992d7bf7, 0x58de42fabfa2c704,
0xb3cf070910bc7f70, 0x26643556268c3625, 0x1c2713fb9f65be2d, 0x34d7a23cfbe6544b,
0x3a10c168248255ad, 0xa69d669683a9c14b, 0x460e2af63ae35487, 0xa1b1b0c748504510,
0x6dd55ab97ac8b270, 0x85d62f5ad1767fd1, 0x274cb6e8a11e6deb, 0xb00364df3099914c,
0x0f424f5bfecc56db, 0xd82b78fd00f82839, 0xfb2b8ae8167af182, 0x9c441334602b7072,
0x9eeda2338c7c434a, 0x443beaa029272823, 0x87edeef0ad331149, 0x626e8486b4de5387,
0x19de0ed5abc37ccd, 0xd9b30adca0118572, 0x9c61dba0f3e40777, 0xa4671fc8caf89109,
0x4e9e18c8c635a150, 0x2e2d0c7205d5ba0f, 0x8ade9dc025b3fc6b, 0x58f4000f9fbb137a,
0xab2663bf5c970b19, 0x1c7394e4daa75d1b, 0x154043d9d838c332, 0x353de120ab55b189,
0x2217c2e0b910676b, 0x3bc824e8341506b7, 0x65348f93a5cc2d82, 0x4b4588813419c367,
0xe4cbf3a775ec4429, 0xebbdfba4201dd16b, 0xa2e902b0d55a3457, 0x469ebf4b43c255be,
0x984a36ff70407510, 0xc48845a11ef232a4, 0x6a31ae01406d1cd0, 0x3a0d1019adae9c57,
0x6b236779eb024380, 0x539d15f2f04df89b, 0x1539bdb3df4cd73a, 0xef9ae1c07447ba06,
0x3b20c2720d628cd6, 0x00090f31c568b31a, 0x312daaa42a0cdd28, 0x00d5660897ff7b38,
0x46d450dd16f8222a, 0x03fdb8b1bdc80ff7, 0xbd25a752604b8f31, 0x2d3d23fc78d17578,
0x249ac8b3b073f884, 0xab776510d4b155c3, 0x0f901a278de859e4, 0x6a8e5c8a5eec0c28,
0x1a0030d53615ee6c, 0x94e3a655965b8fcb, 0x8c96b15c23a73726, 0x4c5cee55bc2b5b1a,
0x72158c3b2485e6ee, 0x8868a38b7a94af03, 0x685250359c5cac78, 0x3def9a660c34ccf4,
0x9fbaf6c9f9408408, 0xb2fcc6b9e5c986b6, 0x5686a961561a9344, 0x01191bd3c49b0202,
0xb9b2895eb9a191da, 0xfa168213ee3d2207, 0x64fc9c8db8ac88a0, 0xf44b36eb17f01852,
0xc0cef49547493078, 0x2c8f655a7768c43e, 0xbad3e2a7ba401bc4, 0x8bf489d2110cffec,
0xec4e5d151606cd49, 0xb6821342a54336b1, 0x19683bb2a6c9a9dc, 0x3b486440a3ea5d5b,
0x4c255204773a455d, 0x2cda95dff3268edd, 0x9ace7fa71c9486b5, 0x975521dec41922dd,
0xcc3255ec6161f4ac, 0x966cd574ebc7e117, 0x8c78d71c770f319f, 0x0ce5774d965baab4,
0x1b198b0c594c5107, 0xda135791f36e3539, 0x3e5986e41675bb65, 0x6e86501df18f963e,
0xd5984d329555150f, 0x2102a2c95b707d58, 0x90e8c851f2d1734e, 0x0b91ebd3fd842010,
0x0956e678a70b17cc, 0x6e03dd48ad3bd55b, 0x68a81b6e0c73893d, 0xb568170e153be7e7,
0x40a8e28ec29d592c, 0xaa5e2794baefa34c, 0xf2dfed7dd66d98a0, 0x8a57fba98085ba98,
0xaedbec19a010b33a, 0xeeac675444a4322f, 0x952212bf47ea9dcb, 0x2be61cb715d32f11,
0x7a4575609d071cfa, 0x54bc02a750fa7f5e, 0x0ce48a1c3d7a53ae, 0x3a50772501d6b4f8,
0xca5aa96020d62c54, 0xf564565df9620f8e, 0x070aa789c9ffac3a, 0xf080d900db2ad43e,
0x25daa110453abbdb, 0xb87b7dc1caec595c, 0x6a014234634d5814, 0xfe61557a0eb73496,
0xe83169ba07db2075, 0x02846dbc06c74455, 0x9ac8229bab731248, 0x3da1bee0133b9407,
0xc720f1dca01a14ca, 0x3b7135df80f4300b, 0x9a4bbf9946b19f02, 0x1b7183c8038b68ab,
0x1e0c467ada0c6e3d, 0xbbb4f4308ad285f1, 0xfc3b214eb76463a2, 0xae82454aa1cabf8d,
0x4ff8c559794cd0e8, 0x2bb1e4de7232100a, 0xe10f3086170d8446, 0xa6fe832b273f415f,
0x59b9984c7fe7acae, 0x5e5dcb093db867c6, 0x9d60938932c6b158, 0x1147767e2329cc51,
0x3d492aac8647680e, 0x366b49f792ab664a, 0x1460707db39b989b, 0x5d3b5b41096ac61c,
0x1817e90cae7d7c57, 0x68160afa17a37063, 0xb5249f9034a7cb16, 0xe91c8eb5ccb11456,
0x944839e78d8ada50, 0x00dbb0ce5bf89ce2, 0xb4048ea3f193a9be, 0x74bd065d8bc757a9,
0xd48ca43e7ad929d5, 0xaacf25a6b204b722, 0x503b00ca70db1f71, 0x0a2ac26d009638b4,
0x6ddd514f7b4e9c5f, 0x43c18c776514e4d3, 0xf39ce6e2dae69ee0, 0xb8aa1925bb5886dc,
0x7ea100a92a6f9ba0, 0x246dfe32fc5efa19, 0x4c76806c03397513, 0x1ffa042587c1c23b,
0x7341d4d0a2fa3b06, 0x1040b3e0a99df8b8, 0x1706521ba418003f, 0x2890ae49aa03e78c,
0xf3653f53a27949da, 0xe8aa64b52adc7208, 0x8990ea519fdc7212, 0x4f80300bfeef0cfb,
0x854b8b126cfa817f, 0xc49ba62dc43ed596, 0x5a848d418950c6ba, 0x50908d394de9e05b,
0xd8d3a5524bf14697, 0x1b41254644063c7f, 0xaddd324cadb97afe, 0x2ec5436e101b3b8c,
0x6d4337d3cb2e459d, 0x3acd68f204c01e5b, 0x96e6223566271b9f, 0x4f1eeac7d25a6bea,
0xdb743f549bc1e70d, 0xb4a80efdc7def233, 0xe135be26c73cc673, 0x54df97a6280761b4,
0xfdbced3b8f9b8363, 0xf46085d320d572fb, 0xf0a14f022e979bcb, 0x6f9f5ce7ece6b8d3,
0x90f8cbb98cab0737, 0x8d31bf010dd8c27a, 0x838957587a699c17, 0xfe82ee34a90f81ba,
0x1a7ffc5b3ce35282, 0x4f9067d32d68682e, 0xac6378eebed261c1, 0xb53f7c37a66c25f0,
0xd93b47a353a9c0a2, 0xcf78016647e81b0f, 0x5c1951beeb47b6ae, 0x147853f00f5995c1,
0xcf927312f632def3, 0x49ef4594cfc4b4f8, 0x3e1b752b4d78fa0f, 0x1882a837887df899,
0x2ea1408527040c68, 0x8be8c480e449cf5a, 0xdbab6ff4ff3b8c3b, 0x7676d17d838f06d9,
0xc835c62d8d53b69b, 0xbb5a82031e8019ef, 0x4aee0217a3a2e499, 0x5cbc3b8114ba0b2a,
0x7ca22753677ca0a3, 0x7a05743f1f50c4d7, 0x0cd0593c5dca20da, 0xedfa441184139c49,
0x05f7712b276fbac8, 0x53c94d4d91b7d7ab, 0xe768f5113cedc320, 0x40e4a1f39bf3f3fd,
0xa11ed6b9c7830354, 0xad6e232b6e2950c1, 0x7557b94a96a9548a, 0x91ee96da76588e2c,
0xa5f86bc269acad54, 0xeed58581d0862377, 0x2650b5e576534c3f, 0xc735f9ca03674d14,
0x2e9b57a5f0aa1e20, 0xaba84b505d0a3730, 0x935ac4d419044d67, 0xe4bada37d4f9df2f,
0x83137f9e5f08cfb6, 0x485c7339e24a3ea0, 0x941e7aa5ff371dae, 0x6209b70ac3275683,
0xab6990061d039b3c, 0x60b0a3477805d9f2, 0xf39dce403c7eba94, 0xc02a7b2459869525,
0xdf8a58ae4cf70e27, 0x443fff84b0cf982e, 0xc507fb4381acf121, 0x9295c6508b89e27d,
0xe7427e9679ebc213, 0x3febf378ae486fe0, 0x9dcf064b55e74e24, 0x97eb8a701cc3b15f,
0x11c564d988346bac, 0x7fc0ad9af399e017, 0x92330608fda6205c, 0x2edc32b628056b34,
0xda07815beafc7cc7, 0xed465ca8dca50b23, 0xcf33cd8c0f78b624, 0xd4b600fb5b08f65e,
0x3febfbe7b93181c1, 0x7929f3c915ee7a5e, 0x043d494ddd66126a, 0x49b6e73b15414ee4,
0xa5e5ed21ac6852a3, 0xd91ac9aad73cd4a4, 0x50384c7d4e2cff5d, 0x3a53b3c7faab0565,
0x412aa0cab833d18d, 0x5903be9720271c18, 0xf4202c1af7c23615, 0xfde760408ed44237,
0x32b9c84b1da554d3, 0x0177f951666a8993, 0xd59b61f911e59ada, 0xe47dc1b90cb3703b,
0x0e0490f85b875dd5, 0x9d86d6e11408255c, 0x3a7d916b049c5bfa, 0xb8b601e7bf44e7e1,
0xfb21753aedd3a954, 0xe743d95287a5b605, 0x72badf2e32652deb, 0x3d0a0bc9adc60839,
0xdfa7dd25351e1bd1, 0x17db4ba4617dad3b, 0x7f121ad3b18633af, 0x8bd1b3eb98e18893,
0x6dc1f12b53b0726d, 0x25a12113d063377c, 0x778f2e9632701b2c, 0x6f6db3afb5f84244,
0xfeaa8c2d77cac2df, 0xccc596b84cbf81be, 0x113a706c9175c4d2, 0xd73be62875063034,
0xd644b625db2adf13, 0x0e74101715928b12, 0x4b9b45fe86e3e887, 0x326567c1b8eb4400,
0x6378a2bf177ed627, 0x82796fbd85d466f8, 0xe3b46580cc517238, 0xe27bd5be3ca32760,
0x00c9906048323c07, 0x00add80864fc3321, 0x5ed46047e6638844, 0x41f5aa0fa8a6de87,
0x775419afacbef9ad, 0xe25d9addaa6a3d95, 0x929e95bcb16c0f1e, 0xf27402b28442885d,
0xd77743b89e170d39, 0x607b5dff43c4eed2, 0x0d46fb17f1bceabd, 0xb12dd623ff00b1fc,
0xf6b0afe670cfa994, 0xdc8f808b367ec7b2, 0xc09fa60c7749d901, 0x0b9a01916af7f190,
0xad072226300b1aee, 0x0793cdd244feb924, 0x70c0755b697f6c2e, 0x600728576fd0c5e7,
0x8f2da12931507368, 0xa586fa7ec78c7091, 0x7ae0c124d4ab6b6e, 0x404eb225a730a760,
0xbd368e5ad8a7be2c, 0xba6600f77f1b5cf8, 0x1a217b8129d409e3, 0xdde2a85066af4a7d,
0x130195c6a633217d, 0xc587f70874942ce6, 0x75739d13e4e459c1, 0x479b35bf8f835e08,
0xe2417ce224577eb4, 0x6bedd3f8a71899ff, 0x4fca88e3de10cc40, 0x2bcfd4962dcb6fd5,
0x3d5cf2da6e7cadf6, 0xab0c642c3a7b98c8, 0x95ae180376833e73, 0x9f9506f5c406ddff,
0xe410d533d769b795, 0xa27e319307a5929d, 0xb49a403d767df49d, 0xe42ce93f919215f5,
0x9ad55241f4ec4b0d, 0x3dbf372ec6ed1a03, 0x4e8efbada855a3b4, 0xcab9fbde7690002f,
0x984f91a9d25ad3f4, 0x7c17d4e02729a547, 0x6b07f0aa543d67de, 0x6f70ab7cbe47badc,
0x13b12f4d0511bffd, 0xc1de5336a586e4dc, 0x684e9b4a8a835e21, 0x464a2b04ed8226e2,
0x2eef8b6ab39e32f2, 0xe65c226a5f37b9c6, 0xf46d3c6183c26673, 0xd29a7088de2f10b0,
0xa50d32bb1355f114, 0xbea9129b0333bd65, 0xe956d7c73007f5a1, 0x544959f678d8bb27,
0x1c404e70690ef3a8, 0x945e6d5735c0b740, 0x2c3f36f8cbfa8566, 0x2e0426a0b5d80c7a,
0xcd2ed31ed2587d19, 0x6efacbfbdf6908e6, 0x968750066ad2658f, 0x9d4b3a5c5cd10bcf,
0x0ecabb0759ef811f, 0x53dc033e2983287c, 0x003d3259d30b0327, 0x1a5c62726c1d6e0d,
0x5e4313d7849869b9, 0x95fbaf1036cb9382, 0x72e47f25a6eb21e7, 0xa62d5ac89b082f60,
0x17cffe72cc96c08f, 0x86feab9f56614b99, 0xb33c8a135b06c763, 0x6398d78df950ce9d,
0x2e0562954ac6e5ab, 0xdd925084d65f5907, 0xd32f4e0eeb030fa7, 0xbfcd5162715654a5,
0x08d0d6558cd40786, 0x06877bce467241de, 0xb09fce9e48bec539, 0xb52893d15e530b22,
0x7fa0e7a78a47804c, 0xcaf594d8a1749ab7, 0x00756071f94091e5, 0xe13ae9c4c9393cfb,
0xb8ff7e4c5c10b0c0, 0xb3d1281051f15c3c, 0xd3bd8d56fc1cc3a7, 0x7821cdb5135216cb,
0x8d67806f2f6068ad, 0xe61929fe191bc17b, 0xed29a8c799af3450, 0x200c39ec2759f604,
0xeab78ed42624ea80, 0xa1a2b12173b1b2be, 0x02c6d1d26de912ba, 0xcb982a8d921b8e89,
0x3fa7806f3b3b9e05, 0x9a593734ada4813c, 0x1f44f40306d6fc30, 0x3817df3ac118db8f,
0x84fcc3d072f4a566, 0xe6f4a01e19b53f39, 0x84e306d981d74de3, 0xab534a239c1ae202,
0x3ce23d0d9e41442d, 0x9c088a28ce6cb62c, 0x90c187a63b5492a8, 0x452e8b2a8d85ff34,
0x3cc54d3ecc9d1d73, 0x79a425cc18b5642e, 0x367e41eadd6ff8ff, 0xbfdcd3d790108551,
0xe68bbcd85451b6b3, 0xbaee4537d2210c21, 0x9b493d2018d5a2d4, 0x2450fc3db9d80c5f,
0x30b8b70dbd1f17eb, 0xdd2717995cbbb3c4, 0xc0a6d2d5e288793b, 0xd4f2669e4eef4dca,
0x655dadbc0c53b597, 0x589c38a66d76e8b6, 0x50dfa6357d52950a, 0x0385dac5ab79f8c3,
0x987db7d3b56b8688, 0x652d42f469a97dec, 0xd02939ff063ec2b0, 0xb0d8ac67953de4ae,
0x44a0b43c48e9f981, 0x23511e5c2ad3388a, 0x709d372e8ecedec8, 0x283ec4d4593314df,
0x3e894d77492fe9f8, 0xd0ff7b33a95c9c4e, 0xb8e679cd2684e7d8, 0x624d4cc29c46e770,
0x04e71608a7c372d3, 0x71cc2e96e3234b9e, 0x97afcef914a633cf, 0x81457a3c739c894d,
0x916c16dd94221621, 0x0a419a989362721c, 0x3ca722df05df2d15, 0xa4853cc08db037c6,
0xe3c69adfcc18d483, 0x565420f5bc003d2e, 0x27d4e078224431d7, 0x51e5da5bba319836,
0xee5952d6317cee08, 0xd1ab83c77b2f95c4, 0xc4bce189215a2902, 0x304cbf7642eb0c93,
0x62ce0b72b0531d23, 0xc64b27c0be6fd67d, 0x32f7a47b0100e2ac, 0xb2ffcbb69887a35f,
0xd0ee092438094101, 0xf87afdd802db2fc0, 0xf2d1d31a968fe123, 0x1e699fab5cd051dd,
0x888322238612474a, 0xa67e20a6ad4cbe2d, 0x404b6ea6befa95fe, 0x63ee3c57297d9794,
0x0d07339a8fc99c01, 0x661dbad1385cd640, 0xdb52f8e743865c50, 0x7cb5df36939864ad,
0x1c4b581c70e03212, 0xba78d2d1d5fcc83c, 0x25c1be8c8b031426, 0x91a96a8a2e0addd7,
0x30f7ba737e781f08, 0xae48d61ce5900a08, 0xd6017f52c4a41699, 0x679718da675bd100,
0xfc15a4edf51cf587, 0x750471f8dce79549, 0x7d271c7b283a020c, 0xb3e923e0ff040d70,
0xe107058e529d20fb, 0x3422fbc8d4c93808, 0xe2ce0bb9f4e72204, 0x52c6a5bae4102705,
0x5f342f72b78b9900, 0xba6ec81fb4fdc1fe, 0xdba0a728e5f31406, 0xcd5fb8ae906754e2,
0xdb9ef8d54d6daa80, 0x0a7061451a0c7018, 0xba2e7be8cef73c51, 0xadbb52f7d02d2afa,
0xeadb948831ff2634, 0x9efb6255516c7273, 0x875b7028de3e6827, 0xbdd4404a1130b225,
0x0f232bd6b73d4585, 0x0a06504e17e4a42b, 0xa2b73821b1ff1341, 0xcd0eafda8ce7b427,
0xf073fc120ed84bef, 0x99e15c0002f5d4af, 0x15cd30d512d606a0, 0xd8de5a35e1b83f63,
0x097fb0d560f8af2a, 0xb68847a954fc5a0c, 0xf1f7fab53790aa9a, 0x31bf1d4ac0029531,
0xa9c4a2c0e56ecea1, 0x7544f42fdc24eb0a, 0xc7619b45f5b002d7, 0x06cb75e874d88f50,
0xdbc94a566c79e4ea, 0x2b1c899750e6e87a, 0xec4038ef589b3cff, 0xffbef115cf6591fc,
0xc3e4dadd296d2015, 0xc8da5b22dd5cc031, 0x4c3d50fd72711d27, 0x9ce85e22362de40b,
0xa5d9296c7e92889b, 0x8734b5ee57172b93, 0x087da725fac5b439, 0xc4dd30a9676abda9,
0xa883cb2e03607e5f, 0x872f8800ad4f7503, 0xa62aab2d74d00ec2, 0xaab1922cbd15fa2d,
0x39b43a4e1596ba05, 0x5274eb52dd67c58a, 0x86a8239bd22b7d01, 0x6dd4d77df49dd5f6,
0x55cf16da1e91b89f, 0x01607833de80b593, 0x7d190450266c77ec, 0x7a46222a9d994ce6,
0x6395ee4613c9f79d, 0xd9be6c4f4f572fa7, 0x682aaf993ce8ace1, 0x5e101a104be63691,
0x583622e6f93f77a7, 0x7b51d0bca39b2b03, 0xdb07337dac6d6037, 0x449c3a8c929c8684,
0xcb36ecb5e7f727b3, 0xf6924201c7798dfb, 0x5fdc99745e4c0a18, 0x2d74ade2588caa60,
0x1dd4c9adc0f46df5, 0xdab116dead0e9104, 0x5bb770e46e52df93, 0x5e020c30fc715f47,
0xf193549b502a7638, 0x81ba8cee1498081c, 0x4b39938e666260d5, 0xd6437be8c6db0b86,
0x19a5e87d9b5af1e7, 0x9c2403e9a52f77f5, 0xfb19060f59779918, 0xa1e608cf4e692f4e,
0x2411f2bacddbfaf0, 0xf24ac5e3abcb1c1e, 0x2804bf0cfca53897, 0x18a7b3791cb41652,
0x89af37439d4bc60e, 0x2576ae9a9b8e5282, 0x7f3379ccf01aa876, 0x86513b2bd4185610,
0xf826f6d5fd037494, 0x275d4322f851d993, 0x9b140f6b8150721f, 0x28e0c5ef42439749,
0xfc7f5aeec6ab106e, 0x41019fab9fea7dd3, 0xad20f7d7e5e16c28, 0x733d5e86ab3cd029,
0xf7f2846847d153a7, 0xb2c38018d6a8a9e6, 0x277992de9c63c07d, 0x5894eb3353a19488,
0x17612711bce8bdff, 0x749714592288992d, 0x6de6623ef90afdb7, 0xdf5d81ed1b1145a2,
0x906ca97c98329ea4, 0x84195602c19e1d96, 0x884ec039d958b571, 0x6967d91db9a7791a,
0x778de6768155aade, 0xd1d16a43aba579e8, 0xc4f77feffd7f5d89, 0xd09b4bfa0c3d0d2d,
0x47e5a2aa07fed0fc, 0x665c729cada29d0d, 0xd4805c9d34e81edc, 0x2132689f0a3c2e89,
0xa75ff57444b1ba7f, 0xfe3d1beb159457d4, 0xb2bab2016fcb2fbb, 0x62b4fd302cdaf4dd,
0xd5073013f0b0384b, 0x7375793ec708c192, 0x98e52236c9b71714, 0x48ec18ee50f8fdf2,
0x363bfedf438fef4f, 0xd41ea73295b143ad, 0xaa3dbc67edbdae8f, 0x33c8794f9cd4d352,
0xfaa79ddea95a1cdd, 0x3ee8f98b2dbbe739, 0x7f6dfd48100895d0, 0x1d5fa08d420cab74,
0xaf3a47a9377385f9, 0xad10af098a65827e, 0x7cc8f9a8b30de56f, 0x65df538488f9705a,
0x7a324c4c39f6794e, 0x36897230f764d854, 0x7b1a81f7083a441f, 0xc9f6570ad9c366c5,
0xc60fa4c70c589edb, 0x396e3af190dcd228, 0x0c0f0e93e4ff2ba1, 0xa9fc4563a5e9f69e,
0xb3cc765f664a39cb, 0x55e8ce2c21a55bb3, 0x3ea4c53934a9ddeb, 0x16fa5a57cd5f0bbe,
0x175d8804af0c86d2, 0x9cad21f57c7c27fc, 0xca3d6917e0345b60, 0x0bc13cecc94e753b,
0x1752882a8de0d156, 0xcac3431e2f927733, 0xd760e44df10274ef, 0x62213dd8291736c5,
0x5a724a8dfd7e1306, 0x2b204cc1b6deb535, 0x6c1af48289ad8cef, 0x65243a03a1c38dbb,
0x4d3e18e5bac085bb, 0x8601671ab007c492, 0x460fbfc48331d0fd, 0x8b377fd61dc020a9,
0x25d8b7ff8bf01ea8, 0xf7c1affa2d5a68e2, 0x091b333af226313b, 0x4be4a3c5395f7cde,
0x3b3b416775b63804, 0xfd505d8c2867f79d, 0x2f38bffd96fd1540, 0xaa4d819c895e7c7b,
0x79f90665c1475fbe, 0xd1bdf5bd270155f2, 0x8c01a2519be2a7fe, 0xb001c77e19e090b5,
0x12366b067589f3b5, 0x7aec7a032923e703, 0x04dc44c9163ab998, 0x454ed4843edbeeb3,
0x4973e5a27e31606c, 0x0605af22b3c1f07a, 0x63a3579d62aa3b21, 0xa587c44740640701,
0xf67a923d543b3acf, 0xdea79ba02f19a955, 0x97f14f1e4dd36595, 0xb6f855294e02a4a4,
0xf747fa6bcebca709, 0xcbf0c93a237a9655, 0xa5c3c3c3256360e8, 0xfc0b2727d576c2bc,
0x2c16af0ec03987ff, 0x71387460588360d6, 0x32343aad274a175c, 0x130f74e06b5bae47,
0xd1bc1c10338f6afa, 0x2b0f29ff48f8c7c9, 0x135acaeb9b6709ad, 0xd71106f0327d4047,
0xa3125588679e7b67, 0xdbc415ca13a55a9c, 0x1d6cc04b023bb5d6, 0xc19c83dad308b764,
0xa3655e25f8872774, 0x97121e6894499b79, 0x285e5d60f5b6fd2c, 0xcfff7fbcb1799ee8,
0x3df0f25015ab3776, 0x447726f0bc89a254, 0x76aab70446686f13, 0x455eb6627069f6a9,
0xdc176e711899564c, 0x33fa15bd2502985a, 0x1748fad6ae8bd8c6, 0x0985b152f1adc870,
0x14272034791c5c6b, 0x27a24f4f5cf627ad, 0x7be960bf97ba3850, 0xa3deef691d10b684,
0x4520d77812733101, 0x0cf51ccff852cc4f, 0x48e0a830770125e9, 0xf1b8d5cbd6e05065,
0xf34c63cf466e48b5, 0x25a8863368fee33c, 0x7325ee7a101f114d, 0xedf98c24e579f993,
0x4c44ed80aba7e9b9, 0xa1e6ca452acd47fc, 0xc06e561726bf6d77, 0xc29d2989bb24db28,
0xe57fac3e75033e18, 0x38b5d6f4c537eb16, 0x640041934165cf9d, 0xbcf7c377603a3f9a,
0x49eecec34dfa6f15, 0xdea935be4070e334, 0x2373fb09488f03ce, 0x78e09fc9c679833e,
0x1e28b660b30aa3b2, 0x2fe2e259dc8a2788, 0x5e6d11eb4f416897, 0xf38388d82ee40044,
0x3223a284900960e2, 0x2ce794bbbc66c8d2, 0x90cf60375624b940, 0x835d5c070ebcafc0,
0x77c3cccccf7425b5, 0x239810f33dc17b73, 0x7d5f2806a42c05b4, 0x2b770978eab4eb83,
0x337dcffa88110f7d, 0xdc0fc7989e405469, 0xf98ce8adc047af17, 0x67fd18cd6e12c86f,
0x38f2259c56e5fb2f, 0xef26948f22c9019f, 0xd62d756f74a5507e, 0x3c8c59c87cb0cecb,
0x3a4adc31be44a97a, 0x78f1702517c0223f, 0x499d2e5d6f95f58f, 0x4e645163dfc42bbd,
0x8c9c21c5f5f9a4fc, 0xf87ee5e93349881a, 0xef48bced3c7bb5a8, 0x0f97c2226b7b66da,
0x6e6f0128ff05d048, 0xc99facf1a257760d, 0x07dd7485317716ae, 0xeeac9982b61497e8,
0x4947aa2900d7225b, 0x17fdd310d95b4599, 0xe19527ca9d50b554, 0xc1892cacc26a227e,
0x31f6fdbc9c4af32d, 0xb2959ab6771adb98, 0xb1571166f2b82dd5, 0xc12abf82b6bbf559,
0xfe8500135862b66d, 0x083b1c0d2e8063d5, 0xf8562b3b41ca1e2a, 0x5a6cff012816803a,
0x0ee936df4c0c6c9d, 0x655f53a11f1824a1, 0xbb1af8ac07a9907b, 0x294e6193dc11b2aa,
0x10c901702b05529e, 0x47621eb90a4fc548, 0x9011a522979346a1, 0x1550828ac6b861e0,
0x1a16237d1d869111, 0xfca554b19efb0a38, 0xaae4e23d328dcec8, 0x4325701ba1efb861,
0x143edab4d6c10978, 0xb7eca8125aefef97, 0xb9b96cf742a4d1cd, 0x91f7bd621788d9da,
0xce65ad539dbacfbb, 0xc07f2cfa648171d6, 0x84380c44755a2bf9, 0xb17c1bd1fb28161e,
0xb2ead82f204ca51a, 0xb9c519c3deb48075, 0x490e8e273386a4c5, 0x62fe20b896aabdc7,
0x08150553d4fbb8b7, 0xb63bcefa397b7e1e, 0x8e31d60c9f8f2c1d, 0xf14c82ff9f148b40,
0x9ba5fe4c96c0ad6f, 0x3a1d23df697e327a, 0xe581a946a5a3c7bb, 0x20c32db2ba2cd082,
0xa1cbc0a4ef37a9cc, 0xbbb1adffde502e68, 0xb44ea412508f8201, 0x92f0a51aa41c9bbf,
0x2b1da53e0b137079, 0x05ee0f3c3d481a43, 0x3ad65c87391713c6, 0xcba6e998bd4542f3,
0x5e32d453b8f2ba75, 0x60da46269bef3bfe, 0x3a86517f5cbcb848, 0x5a99f0da7fa5f345,
0xed9b38f0fa3e9d3d, 0x15bcf01a4b29770b, 0x8a1286497c0c6f90, 0x6acd5c08efcfa4c0,
0xdbf02b38010a3cdd, 0x80e2327c2fe4ac7a, 0x855c8b49c2963894, 0x098559a14258ece3,
0x95624ac44e757a49, 0xbf25d3293ae9cd0a, 0xd53238f6b8f7bb0a, 0x36a968035fd1c8d5,
0xe051d6484063306f, 0xf53fc03c4723b819, 0x69e876c598e8a5db, 0xfabc1ea5302e31c1,
0xf26a1ae58fbb95d7, 0x3a822ebab5a0bf93, 0x561c42f41b868f38, 0x18fafa517dd4b6da,
0x6af57fc438fd45a5, 0x40d86293cd88f629, 0x0ce7365686ca1391, 0x5d8661c1c84d41a9,
0x79868e0607026b93, 0x30556d27f3ccef6d, 0x15dd62c2eeb804fa, 0xa333732911f5cc36,
0x9bff54e0807455d3, 0x797998c07ba99ab5, 0x4671f90e861fc580, 0xb590b2677303f12d,
0x0cbcfd7d3424c39e, 0x2811092e87360f84, 0xc51b1e2455b58896, 0x730e2a6a2617790d,
0x0c6515a19e5b067b, 0x3403d29e3e84fa67, 0x0ff2a06d1a289f05, 0x0d5274d3c65a773b,
0x2b5ea8181f91471d, 0xad656587e821b310, 0x5bbc8b600a762e90, 0x24148e977d001783,
0x3d9fbaa34369f083, 0x3cd5a711da22332f, 0x2b8faa2d06e89b7c, 0x08adb3255fff611c,
0x1fca63750eaf1c40, 0x414b5d2d73baff49, 0xab3629b5d9263c38, 0xdb7cc3bf44e4cd1d,
0xc732e590e2c8379a, 0xad424b702ec19d01, 0x43b6b4d978912937, 0x5c15ca4822975fdd,
0x8abc511954742d74, 0xeebd3a1fb466e087, 0x070099e1d43a246b, 0x9063da354cc04a99,
0x29c3ac9bde33b592, 0x497b59e128c6497f, 0x73862eb2eec34906, 0xd32d228aaf11dfa5,
0x2bdf5d9b5bbbcf33, 0x62d768cd0f02d1d5, 0xbec1a308e03900a0, 0xd79e72d438a9c1b5,
0xb5aff58a8b6c4024, 0x9506625f8cfa4926, 0xab2ca7627b707193, 0xd905f2b202a12e9d,
0x8154cbfc9d0ada45, 0xe723738498040733, 0x72b89e04543af8db, 0x9499bfa7de4f51e1,
0x746e3b239d3a6eee, 0x7cb0642f4f625572, 0x8cba0ab60d2a63bf, 0x0548667d48752f05,
0x151fccc5863b35f6, 0x5b6e1c502fe4ebf3, 0x3dce755562a10890, 0xa0e5b98c27c407a7,
0x169d7c98c445a565, 0x790f9ece7eed3be7, 0x4b73b8834b16fff1, 0xdda5765e581eafd3,
0x653cda81bcb801fc, 0x9e3a64620be6b967, 0x20ac4042fcc06134, 0xd7824b9cdfad452a,
0x6b4adfaacfcf41f5, 0x70b01f29240ccfb4, 0xd02b0694c5f716bf, 0xe18af666ec172a38,
0xa898f65cff3ff144, 0xd6c1800170c8f098, 0xa3fd80165b09a524, 0x2bced08ff5bf500d,
0xb683d65fb19f1987, 0xa5ef2ce4f48d31e3, 0x6fecb237491b5724, 0xb8cf7b5ddeb2ae20,
0x0c214b1dc76c1977, 0xfdfc91d67cb24b57, 0x7f9872d72bfc9f2b, 0x1f0cc2a7782131b3,
0x993742b329727edf, 0x1a068def328e3011, 0x4843e31a02130818, 0xcbf406399845eac3,
0xc9d35eac79a19a17, 0xf70045c93eb82f3a, 0x30c75424b05de249, 0x49a7f928af8bdc97,
0x1d2e19f457339378, 0x5ed8d2b4dde49c63, 0x32287bc276e4dc95, 0xe21aa52523105d92,
0x44f8e79db5c7d50c, 0x701f9ca833cd4c10, 0xa7a80b865a23d508, 0x5c43db78ca0fe31b,
0x2052cdde7cd80735, 0x2c50f11c1f8c78c0, 0x21b9ed48028d1acc, 0x70642a59746ff93e,
0x54b851c4239deb79, 0x82e0e9d8cc53614b, 0x07ec84a6c32b6d23, 0x0636f29ccdcfc4b7,
0x697504028a739001, 0x0e83edb74e6cb802, 0x13923fd32d0cc9da, 0xd95f3300f556f534,
0x57ba97946df38723, 0x7501504fdbf7fa10, 0xc20a8e32607b0758, 0xfbda887ca4b987ae,
0xb220a0d666698947, 0x6010a6ae85bfec59, 0xa2066ba9c2b4f20d, 0x19daa6bef56c872c,
0x93d824c59800ec4c, 0x1f09e8b96ea4e172, 0x8346c8dfa9c9b740, 0xed174c23b46ae650,
0x10937a28ad590fd7, 0x6ce1bb2f6f5aac99, 0xa90883edcb654bde, 0x63657e74170bb493,
0xa35c97782cdac674, 0xb5918c8271a8b61f, 0xf8577e80ef39d4d9, 0xfdd6e6f750fd1f8b,
0xde2da1449563a106, 0xeb4fa4d6bc38addd, 0xe9a46ba3aa76be8c, 0xcc2d9dbf498c1469,
0x3edc5f3e9dceb64a, 0xac3b751e1009811b, 0xbdbb04d12a6b5d73, 0xd4ba520b808339f5,
0x23c4ef1d091b8cec, 0x4041e7a367d6596a, 0x7829385e5a564f91, 0x28794d93e4855add,
0x5d3a4604b6bef218, 0x20f405e2c7155627, 0x22e91a99ab11cdfc, 0x0a8448bfcdcc81f3,
0xcc79588cc231e874, 0x0a407f549d7782e9, 0x96c46d234b2b81cc, 0xa383e49fe81c48e2,
0xa95b1d89e3cbbb8c, 0x31328380629718ef, 0x2a60a04ed9aaf281, 0x5bae2a13687a673b,
0x046f72d520161fe6, 0x969c870d836ba230, 0xc5b1ea79a08ded5f, 0x3497c5f228081897,
0xf31239acc18e083c, 0x5cf4113b4c0dab5c, 0x60368758620852ac, 0x360b0ad5b275d591,
0x89daef9a13bc1e1a, 0x8e056edf1a6291c1, 0xe756641a8d2067aa, 0x119b8ce49a12497f,
0x794ae2689af4ccb0, 0xb2e8a87f5bf538eb, 0x3fc1b9671758b88f, 0x8e7ffb31776060e9,
0x8bcc28d529ded9c1, 0x5a3dba33bd858b95, 0xf95ba6cbed8676cb, 0x56d7b831645354d9,
0xcb97f95e560fd42b, 0x15c975e3a5f02edd, 0x1c8ad4cefe84aab9, 0x89fbb3e5096a1b53,
0x8a6bd72d19a49336, 0xa8c438674728cce7, 0x6e9bf006367fac77, 0xbe9c0d034da9aa83,
0x562509d4613f9d50, 0x9ec925306b829745, 0xab206bfad977cd93, 0x53fc240e8ba439d6,
0xebdb554dc809bfcc, 0x7abe14f5f08a80c5, 0x5ef4b08d48bec6ea, 0xdb5e2d1367fd0c2a,
0x9eca1168a300f53d, 0xd2c94bc950afc447, 0x4fe87520c63f57e6, 0x2e114f5af5bf6213,
0x47c01ea3f87daedf, 0x856916951bfecf80, 0xfa14e57dbca223fc, 0x30f29363506f032a,
0x800324891eb84f0e, 0xef95b9baf0b59993, 0x9e8ed3145f4c16ba, 0x7ca2427b60bd568a,
0x5d09f57e7aeb0368, 0x7554d0144f997c0c, 0x836c9e97ca75ef79, 0x6fe2b78a492a0bfa,
0x6c55024659cbbe4c, 0xb223c5125067de96, 0x65f8556a7a0fd7ce, 0xc8dff2d4a543b7b3,
0x109f0515ff97b76f, 0x1c6d61af9449b16a, 0x6782ba8b5c295541, 0xcd61f36187ef01f2,
0x8f956bd35209c792, 0x05d59b2b36853ac0, 0x1cac6a7a2c55e244, 0x22fc68aabb238fe4,
0x93473f8653c4ca78, 0x26d1fe1ae466f878, 0x068541965a0ac6ce, 0x250deb24b76e97db,
0xce3db7ca3fabbaa9, 0xd325fb7959ae73d1, 0x5396324c7223d623, 0xe4c5dae4503ef770,
0xbe1cbe9a36116ed9, 0x81396af46c645e30, 0x78eb830518944b0b, 0x0aff10c440185c1c,
0x673ad80932ea6ca9, 0xf950ff18c9efe0b4, 0xc9c05a63846d071c, 0x6bb9867b8384dbd1,
0x218533e69beda535, 0xb05399e3783e14db, 0x37349f1c0794650e, 0x90d61522228fc7df,
0xd6dc715c1a996c40, 0x70cc8908e7ce206e, 0x01a2528c6c7797d1, 0xcd849e4f15fec036,
0x0344f566333e9491, 0xbc4a737ced22411e, 0x2fb1fe55314d97df, 0x440546ef4c2302fe,
0x435f749d341964ca, 0x17feb4e8f6a95d71, 0xd8b49c65668f0d16, 0xef7a410529cf8d2c,
0xc2e8fabab69b3781, 0x870629bef642f07f, 0xcd84fd849dd44e32, 0xfdac194751e9ef10,
0xdb7d9655142d971f, 0x4584c374c1665006, 0x317690c9f33518f7, 0x86b80f41d7a169de,
0x98386e92e68433b2, 0x20fa940824a71db8, 0x032ad708792f6f86, 0x7e86f29b3d1cab95,
0x16ded5992f217d1f, 0xc26aa63754d300ac, 0xd5a8c1e348f2d7f6, 0x0b6b023137759e5c,
0x751d2a2d6f5ac019, 0x89815fe1f6a6d9b1, 0x4f5fce1a005599f0, 0xdc562c9b86740dbe,
0x51d47ec6922bb5b9, 0x43adda9c459efbdf, 0x0bc47dc36a530bbc, 0xf2ca1eb4609b70fc,
0x6899de23f23bfd69, 0x3b91544c8da13ee8, 0xb70470e07809b424, 0x993a0cbafe1c599a,
0x61a9999f5f79e066, 0x97ce971bb002b6e6, 0x5b6c48609c0ea530, 0xf18a1bc681ff09ab,
0xeeb6d1704a0de5a8, 0x685dd0856d6d3b8f, 0x58234bfcd7dde628, 0x444288801fbe53e3,
0x4bdf30ed3e09c0b8, 0x5e9d2940228d7872, 0x971fe18a19c705ed, 0x2ceed9f8e683e599,
0x2b68f590354f6e24, 0x317d6029b2c1ba67, 0xf4efa17f924c6edf, 0xae99be4459572eb7,
0x31d3721087d452e4, 0x86b4c1186209780b, 0x625b55e9f7ccd20f, 0x82b8590608ad25e1,
0xe3174c6e6deefb93, 0xb7c364f9e5d5c2c1, 0xd81d193d68170e51, 0x9b31af9c2e7a6be0,
0xb264d807799747c5, 0x35406801fa2fe502, 0x3a30d416f8c0ac50, 0x645ab9f50d60fbc6,
0x7c951203cc6c5a61, 0x16a1bb5122f997b2, 0xb0c5b6b16ce7c525, 0xc5183f8241e0f121,
0xec10da3b8b523ca2, 0x903a6bf119f8e5a6, 0x6ae88d5be6f20157, 0xf65813ccdde6de57,
0xd75a9fb2c92003bd, 0xcf4d0a2c050db506, 0xfe135f472cc3ec40, 0x5c78c7bdafc86873,
0x8794cc8b4128227d, 0x371fba35d5ddef74, 0x53d101f48b8d1be9, 0xdd96cde41c1413d8,
0x9910c6cac12222f3, 0x4d73acf31d9a8b30, 0x9cad7a253e57f524, 0xb70ef86a6a9fa4a3,
0xecba7bb8d95ceb02, 0x610805e9d8ac4e8e, 0x2954a349451ff273, 0x87d3dddfc0d2eb25,
0x31e4cfdc546cd33f, 0x3dd1015bd4b1a9c9, 0x34e6ab7a515cce41, 0xa4f22cf39f1cfc45,
0xb464ff5eb4eae19f, 0x5c919485e8227c37, 0x60864efe35178354, 0x2428295be8c87610,
0x737c2d31482e8af7, 0x809459d01441fa58, 0x00739617c28b7fa7, 0x5af1067d2335c563,
0x24ebd3779985ad1b, 0x644f007d16bf4620, 0x5c72161a4b69fe91, 0x768fb7a25c413376,
0xd7722256a5fa5afc, 0xa7d33547e6d6817b, 0xf7ded47ff6dbd0c0, 0xa32ceb0b14cb84b4,
0x34fffc287e08ae84, 0x250b01f07b70541e, 0xc330859c1071b6f2, 0x7d419225744ffdc5,
0xd6edb96d32a0918e, 0x5ff5e0551e0e5e4d, 0x59fd55d0b6f84d99, 0x9bbf6ce86e759ebd,
0x8a3091a3af0fdce5, 0x6123b268e3891542, 0xbf3e9a3527b3fc91, 0x83840881c56293f1,
0x153489e3eebdea4f, 0x74befd70e198c760, 0x480ffa542f801aa4, 0x03f2e70186ba50ed,
0xe88d875b109c6c53, 0xbd931df445b0d3d4, 0xfc2894ca22edcc5c, 0x1066a5577207be0d,
0x37f816803f972d9f, 0x175fd13b5ae6bdfe, 0x1dc7e6b9d06d4917, 0xb323f50957f4f1b6,
0x305421a2fb06ce9e, 0x2547cd68fae353b7, 0x5f4ceda4556087f1, 0x3c3d2b7c2cd7fb49,
0x8108e47fbab9e200, 0x2547712db36f5f60, 0x612c8d9ed208c410, 0x361f5c6b6de91ed8,
0x2776ac78c812e4b0, 0xdca590b07b798a46, 0x976c50dff6b6796d, 0x9013f75a77298ca3,
0x42c8c9fb21116b6f, 0xfcb09b8c8e776827, 0x78e2b35644743a91, 0xa203c7f743f2180c,
0x1dd91e45d4dd2abc, 0x8a8effbea582ebe6, 0x0a7f2df21d63cc0d, 0xd7dfaf88d996d764,
0xa2fc94bd9f908309, 0xecc3e36594c3e009, 0xde8aedc2bbd12a78, 0x8fda6164c9487270,
0x621cd2debe25d21a, 0xd2f595317a56bc92, 0xdc1ecc590b0516d3, 0xccbf0b3338e306d9,
0xfa020f459ed94817, 0x97c77259ad48fee6, 0x6980cf7631b9b233, 0xba0cec9a661e8849,
0x8fe7eb6906dd3555, 0xd88d8a5a165232ed, 0x1a9656966730978c, 0x811a4db34e0f6852,
0x5790a988ab8a063b, 0x0288cdfae5575614, 0x9b673c4021752b39, 0x7a20c2401b85f684,
0xadffc4e612e05232, 0x1af35ff6cd2825f8, 0x4215da02cd13ded3, 0x47bf1a7ce68b7230,
0x5f8f8aaea57c55a4, 0x9885d05cd2542364, 0xa945b5e5673ccb8e, 0xbd2b8732ed143f93,
0xf4a53be4bb45a1b6, 0x292dd9745aad7fb5, 0xeac4450be4da8a97, 0x3e15d59e60484586,
0x9a544f595bd88ac5, 0x88a4175e62441273, 0x1d4df9115351210d, 0x806dad28cd8fe258,
0x83e72db86b4193ac, 0x8ac4679a7566924e, 0x1888b6ee4533746f, 0x64980420b3f2959c,
0x6031b63e5eacaf3f, 0x3400e8ca7d212f10, 0x68c88a3457370b23, 0x2100766c9b127aa6,
0xea08f8f9c782bbd3, 0x2a663454c175061a, 0xa88fa16f7fc16335, 0xa0784eeed2698503,
0xbb2df291f2c37992, 0xa0417cf58398ca6d, 0xe7d52653105508b1, 0xeae4336f7b5d6697,
0x94f4fd20d5a05f6b, 0xeb687655cc318deb, 0xeaa180612ef6d649, 0x1e52b1aaf7f80766,
0x71d93ee3608ae4ff, 0xc697c5f587aa24ce, 0x6eff5cc55b7a4ca0, 0xfef61f4267121dca,
0x3f3602e0877fa3f2, 0x5ff7b1d221b405a7, 0x53bc1542e81a3f84, 0x156073fd71cfcc82,
0xb7e2f343fbf47484, 0x5a08619d28b7f98c, 0x834498e92393e623, 0xc0ac393b79718ac3,
0xabeeea4895446789, 0x140b529e2b07643e, 0x21ae3f79853aacbb, 0x44ad2d0990f68dad,
0x13902e913a97d294, 0xcbbd6f12a9fc6507, 0x63a2ffffeb4a2034, 0x61bddff9135935d0,
0x0fb8f6c35769e0e3, 0x5f99ed6b8583a395, 0xdcb92e3ed8f9d253, 0xd3647f790044bbe0,
0x764e2cff879ed85c, 0x4c8550964e05e7f9, 0x07fa97575f10767d, 0x122d9b222e50c3c7,
0x9d02078e35eef7b3, 0xb9a6e8eaffb82479, 0xe90b78bf97d9b963, 0x83bd489d4f7d7334,
0xffcf4c529c0c40a3, 0x830be4590c8c9525, 0xded4425f0035a025, 0xf27b78518ccb1314,
0x67368b2aeb5f522a, 0x75fea8d59f53934f, 0x0631508406640e54, 0xf26ff24bbe55470e,
0xd80d0bd5a8a0fcfe, 0xaa239f6ca5775639, 0xab00f8c9ccc0d7b4, 0x515f7c1d5ebe18b4,
0x197f11cccb452d66, 0x7d5285f0d9cc14ae, 0xa64fd2740b9fa3de, 0x0994d30bdbd08278,
0xb0805478044b3598, 0xe9cdc8a7ff34bc8d, 0x19c803ed3e289d3a, 0xeff429199efaf2ac,
0xe4da296c6cc35a02, 0x7ea6be40e152402b, 0xf2b1ed318dc9f447, 0x2e8bfcf47268e756,
0x77e1ea429fe24a7b, 0xb2ac6e9f234c57a3, 0xd08a887f6f121134, 0x5f633ceb8fd91839,
0x80718529cf61952f, 0x7d74aa3b4379ae4d, 0x7d1294787a0f5df6, 0x87e7cedb3d31f444,
0x7fc9b76a83d0ba5e, 0xbfb3d782a5ccfcd3, 0x3b7a395620ca9d16, 0x4f99980ec5e4554b,
0x10acfba4908a8078, 0x7d6e371bb8dfaad0, 0x39f4a2fa0321c69a, 0xe2b56aeb88d08466,
0x75b7ea90c19c7045, 0x83df2887b082603c, 0x9959f1af0b47e63f, 0x1c50672d39e09dd5,
0x5c5c5736c88a8f51, 0x3597670c1610fcbc, 0x28733ea483c7459a, 0x9c9a51c4a3e89245,
0xc17411bf2b79ec63, 0xc53824e14bf176d2, 0xba47229691a0748d, 0x9241c732e9f24a1e,
0x00144891e5056563, 0xb0d9b0c839f4d643, 0x26bc6e0aba6db9c5, 0x4b0b54069a520144,
0xb6250d4628820dc9, 0x09256eb4654fccdd, 0x8837d07266dab501, 0x86caf9c1ace4b9fc,
0x772ff27fcff91506, 0xbbc6e07d9e9e56d4, 0xf7f1f269b17bf681, 0xa6e61af74875bce4,
0x26733027a9f43088, 0x7a411cfc02229ed2, 0x7a333f0ee8b579b9, 0x3f5a2ca63db98dfa,
0x72847b87f2f08ff0, 0x7c15723f8e3e649e, 0x917c0a3bfdba0cae, 0x6cd7b3bfa47495b1,
0x83365ec1a892d5ae, 0x8d40fdde02574135, 0x51d90586a2b7730c, 0x88da5fb16420433e,
0x86ca3f4fb016ad73, 0xb57fd399e0db1e25, 0xd88d62c8e21de074, 0x893cb5fc6392d706,
0x516353658d4700a8, 0xae1481a2b8649028, 0x88bc3dfa04e2e358, 0xd2585b40c5de1757,
0xf2525c77121170ce, 0xc786dae485abbcb9, 0xffbc1378494d8be6, 0x4e9c59c64acf357b,
0x016da700d4de7474, 0x8d526b0ba6594139, 0x91371534804d51f4, 0xeaac0ef283e0bcbe,
0xc6636fd552a1f7ce, 0xdc7668b39482ac91, 0xc6689d5abc8668ed, 0xecaaa304aa77da3d,
0x8886c5ab9dc8feb8, 0x4ecf9fcb77dd14e5, 0x6973ce60b7c2dd91, 0x27246b9247843128,
0x4286b30eaaa530ec, 0x6b245a25bb5d0142, 0x6449b36bdbd9b906, 0x45d525b156707f77,
0x2430cb07005ae3fc, 0xbd704fbdef7e895e, 0x189eeb8589455477, 0xa1c4f6eaced92cb3,
0x4f28d2442e7de9a1, 0x6bd1ce0c0590d6da, 0x6b5f5f054f163493, 0x2490ac5c7d69c723,
0x0aa7bfa912b1e3ab, 0x2fb29033175acf86, 0xde79b2de687da6ae, 0x000f189cc9b3bf5c,
0xf1a2c129991ff277, 0x59052e36382cd2d7, 0x139a6db0c1ec2a8b, 0x1167f43b985c898f,
0x8276818b0e5f4119, 0xc35b6ded13821fd8, 0x70aee68f2a45a4ce, 0xf2718867a22778dd,
0x302df979402bde10, 0x027108603ed9cfa2, 0x5c90161497ddc5f1, 0x5f0c966bbd71d9c6,
0xfaedb74a312872ff, 0x48e176e0a01893e8, 0xe995889528d6544b, 0xb99fb176e3217bcc,
0xcd488fd4bc91414d, 0x1a04f6971356e715, 0x2a7e4e4869822eb5, 0xcd246cc619a0dfd5,
0xd89218f1d65a4779, 0xc800628d28c346c7, 0x994834b81c1dfbb1, 0x0234841ea632eb85,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x56ade753a18128e2, 0x8e0b65a3e6f002a0, 0x0c67d90f6a968afd, 0xf74bfa7fc58d5cef,
0x2fcbcdfd6cb4f76e, 0xfe7bbd749052577c, 0xdc2979947d1f1167, 0x5481430e884d6ddd,
0xab41074d3279aaa6, 0xb224d23cf8cc855d, 0xb9775e00e2dc94b7, 0x60fc89c599b38501,
0xa40b6eaeb852d1b2, 0x5a95acdeba9d0251, 0xca4649001d906779, 0xd2bfce1442a1a126,
0x31840acd267bd511, 0xd2b7056a7d65bdad, 0x228c05b9d42e77dd, 0xbac4a70243b1599a,
0x367047cf7735e04d, 0xe12c6d25d4e174ba, 0x45492b671b88fae1, 0x5875282efb76b479,
0xe563507a4a5c9e86, 0x3ed469fa90a3f7da, 0xd9c1a904dfacbe50, 0xd3a9f9728ec1396e,
0xdaa67a58d9402a08, 0xa936adef62506d6a, 0xb9c19d615875a3dc, 0x61df4bc427d24570,
0x708f77c22abf5c35, 0x99a53b0ebdd1c47c, 0xc017233c28a95795, 0x8e9e9ae36e50f6d0,
0xecb1703545de861e, 0xca636c80b031bc99, 0x6d33d1203e83615c, 0x54502434f10c069b,
0x7f055ddacbcce497, 0x11a12b3c681554a5, 0x917bd7d938de9953, 0x3e9ef8eb6c549cc2,
0x3b6fa570719bd91d, 0x27b61e903699897b, 0xa2bbc64d406e0a27, 0x21dfd2028bc627b7,
0x59487e05274aa1e6, 0x54c162fcdf490ed0, 0x2223a4682c0d0311, 0x0b46ef4a76d1fe4e,
0x54d5b408d6d77871, 0x3f693afd38b64802, 0x93d46a1ee711c081, 0xf20561696a403b47,
0xa9f36ab0daa2b5c3, 0x45f19955638cca22, 0x2ccbc1265398a372, 0x2a89eea977260cac,
0x75334e0b6a180fe2, 0xfb3facba29e5b8e3, 0x5d171f094e85d2e7, 0x49c4cef69ac20dab,
0x6464b661e403051d, 0x454d9e7d05f74a05, 0x7ef78fa1c632a6d4, 0x4ac5e32c3818c72b,
0x79ce543f96d4dd60, 0x1fc99a68a448e6eb, 0x1d211886b3852a44, 0xbfb5fdd1b06d96e4,
0x36e11c944ecd2741, 0x9a800407ffbf461c, 0xdddc2ee912b1e680, 0xccbcca995ec3268e,
0x8315b2721997d624, 0x68351be7f4458024, 0x40b5dd9561855a6e, 0x95ab53765f070b4b,
0x3924be3b01f901cf, 0xb8e3abebe9b96b47, 0xf95d138760ebf51e, 0x3507cdcef2af1327,
0x30ef79c39a3b8f20, 0x90f1bf39a1e10658, 0x19411380430b8fc7, 0x9865e6acc27a9367,
0x1818da646b991b5f, 0x1fbd9e0f443a754c, 0x35d89ed5c436eadb, 0x00ee6b980b1385bc,
0x8c6c19977eb7ccc7, 0x7e068d39593efcd6, 0xd94a26e618fd5c51, 0xe260ca63b5bf5457,
0xdecb1dbe41838c79, 0x5581c3d26a80b0e0, 0xbb464bd48e392236, 0x8189c66021134fec,
0xa58a2a8805180abf, 0x5d0a0dc03a91e480, 0xeda8323508cf64bc, 0x2053fda089b80372,
0x1daed6daf35c2fce, 0xbc3015d754bc3708, 0x21aa61e28317a4fd, 0xd32a0b919e399955,
0xb137815bc69575bf, 0xb34594ea2cbb95c5, 0xb06fc328c7b60dd8, 0xc8ea7378716c00ae,
0x2472318dd4ae2b4f, 0xd4aea4200f4a6729, 0xcd3b782f7a87bcdb, 0x9be2489086acdb0b,
0xb4604c5def22147e, 0x34f165eccf1361ec, 0x164973840a35e939, 0x2e704fc6d2a3fc0e,
0xc897a6b93429783d, 0xb5d6b5765e42dc7a, 0xa5eee9d4a635ff82, 0x06687d1078ba0903,
0x036e4394ee352a7f, 0xa8133f73ada63db3, 0x1a7c23ce9652df72, 0x61a557d8490c51dd,
0xb97237b3a2732e60, 0x7293b1e573fc8e86, 0x4f85c8f63d901718, 0x0de1f9b1e25862cd,
0xd00c305f449e7775, 0x878842cfdd380775, 0x95db0a365e58863c, 0x8f8e221f54f5b82c,
0xa4881c5f7a77f45d, 0x95881512dcac7276, 0x7b39a0e3181c9835, 0x6da0be3bc6134542,
0x848bfc3706d132fb, 0x7c4b5de565b85251, 0x58335f12321812ca, 0x8046641c6732093e,
0xe40a5c97869fdf3a, 0xd2294084a25f336e, 0x53b7c37aeef28ec1, 0x653c0334dc6233a9,
0x32436f2afb405d59, 0x7512866ea3a5aed3, 0x90cd7c4da140e6f6, 0xb46a69cd9121d655,
0x8968eed57ddb53b3, 0xc5fd7d554ca0dfdd, 0x7d5f742a14e3fcf8, 0x600dff0cbca7d7c9,
0x1db48658afec558c, 0xd8fe267f0d81688c, 0xce4e4241375c6041, 0x80cda5842b710cfc,
0xa58fcb00c7ae1d7c, 0xef8566280bc57dbf, 0xbd9c32afa23ad4e7, 0x68785faf5b7f2bc6,
0x645a519b44525c75, 0x6d34cb9d094efd4e, 0xe7cd9acc04c993d7, 0xc7daa3f496bdbb51,
0xddc2584218cd9ab7, 0x07c2c378a73bfaa2, 0xc33bf53f730e0e5d, 0xf986e73befc5f655,
0x7923f71eaef7757a, 0x866de2974cefa7d1, 0x97646d4adf3f4eb1, 0x3e09482918ed4569,
0x6434f2ab5a652108, 0xbf76b82783115a21, 0x3d461bd81f0193da, 0xfbce33564d8d64e9,
0x83646a58249d9437, 0x98e48566a080ce72, 0x73d223e0ac402801, 0xc568e561351ea597,
0x3e39d6d3fd1b31e3, 0xe20f99671429b295, 0x061189bc2b15bf22, 0xc4ffcbaa121afcf2,
0x2b05cd3224f394b0, 0x389c5349c00304c4, 0xe15327c9f84fe4dd, 0x6c72ab2e66405dc1,
0xf3c7c74e6b085a95, 0xbc0b58c231e52c0c, 0x648c5eb6af760e9b, 0x5ab49e76e95c05eb,
0x75b96f95dec0a89d, 0xe38d3f0c56b3442c, 0xb474968e76a76628, 0xda62edc26468c3fa,
0x22869acf40771c29, 0x8d1e876ebddc2610, 0x6d8f098662eb66f5, 0xfa61c4a2ad73469a,
0x163f7d1d4546ee06, 0xc24fa53771941edc, 0x83623bd6c6e2ef76, 0xa97b777755dfffe4,
0x547f8c03c592449f, 0x4626610bfaa8b1d4, 0xba3e27b95eda58d2, 0xb49aa4438ea5d042,
0xce93bfe2c4fc48d5, 0x95bf9cd4cd372b02, 0x5db18104b9d49574, 0xb471fe585495822d,
0x6653add72d8ec8b6, 0xc795382ca0e89b03, 0xc7e90aa5879493b5, 0x1d3b725757785553,
0xeaab684ca4840157, 0x45489cdc127b0482, 0x0eeade98dd6c5878, 0x076c2ddaca695fd3,
0xf56f9bfc32779222, 0x425b770e549f8664, 0xf44ff886babda87f, 0x48e78d982d5c775a,
0x38912341ca87380d, 0x991a4eec59790d60, 0x551f87b5a77b0db3, 0xa75b3a0e6306c016,
0x70b4a8ead1570af9, 0xc132696edb595393, 0x9ea19890375e1ba5, 0x03b2a571006f96dc,
0x969e9cf39ac8ad0e, 0x5bb5572e200cc78f, 0x755dcf2785768ded, 0x92fcf34524dc445a,
0x92fac528d6afdbfd, 0x2afc8177c5fbeda4, 0x080568800d45c6f6, 0xd8303d47cd804386,
0x7f2fb76f1320b5d4, 0xe69d24a85f64aa2c, 0xaf80e93b91ea4db0, 0x9d9ca6b54709b09c,
0x4f147df629677af7, 0x3450a1b94a2d6896, 0xa50f9fe2ae92049f, 0xd9c8428d0cd4e7a8,
0x53aeb2013db86e57, 0x38b9549594385b39, 0x927107fb4135d1a4, 0x41e8a6ed7ffd05be,
0xa06bf7a3591328ac, 0x4ca14a4c728a309c, 0xbee22f3a71bd8199, 0xc498a0fa84d822a0,
0xc0892569e58d391c, 0xd6a578e2d93ab827, 0xff2dae24c26f8706, 0xb2aaef75afeb7b5f,
0x330c2a337328fc7d, 0x1f5f5356264157b0, 0xb2f307c183aa8ce0, 0x137a0f069e9ec063,
0x56a5481da68341f1, 0x2e843ced41a4b156, 0x4c94c9ea05681b65, 0x15b36d578cb6bf11,
0xc1570b00402a3d4d, 0x2e794a714e132d9c, 0x16ac1e8b907d2ee4, 0xadf3d0aa0d8b32ba,
0x48bfd58c4b1067c7, 0x78d126b622c49d4c, 0x80b2922a7123be3d, 0xa668a019514cefcd,
0xd2172cc2fcd4b978, 0x9e4b1dd4cc9b2e47, 0x22c291c567a73be2, 0x02e5919c4b3d36a7,
0x397ff3a415816d88, 0x490a83c41b04f0b9, 0x2cf2bdfd24cc53ac, 0x7d788d4942d22778,
0x9e00a10d6c08e752, 0xeca1303e883d5eaf, 0x793058d7d4f537a6, 0x4d1a48ae67163065,
0x8777d271272e27e6, 0xea5decd51647e90b, 0xa90c8588f5db968e, 0x3f4f7d18da7349f2,
0x2750ba6a0b5a6d3a, 0x4abd07407e857301, 0x798a2478cd06cbee, 0x64e9dad00625ef3c,
0xc98e07ac71dd0d2b, 0xba9067794f64fc4f, 0x33b0cfb9a2a53225, 0xcd4eb913b3315345,
0x957e1f9b09b09cfc, 0x0d231e09e033c10f, 0xf305de1b555d7536, 0xa7a3c6a3672519f6,
0x0e47030df79b2560, 0xcec5a920877d68a6, 0xa1c198cb9de40c01, 0xfea46d2a7bbae9d9,
0x42ae0f90b29a41fa, 0x69c2b5ee4dc853ad, 0x5886b7b244e8f8da, 0xdf3ae3e33e1c2601,
0xaf6455d3e06d8fa9, 0xad1b931243f798e1, 0xc318250f66e29e28, 0x4ce17036ed8d1dcd,
0x24e7733f6711b3b6, 0x1b401171145ed99f, 0x8db529b6847b3081, 0xf38d49b2f2268a4b,
0xac3818ab95c0c7f2, 0x9dc8827bdf8d6025, 0x83e3049ae1b28b07, 0x6946bc44f9dcdc1a,
0x5090498e7a0a2cc4, 0x20c728652e103d6a, 0xe1ef326900cfd7b7, 0x390c1a247dd6b011,
0xf9b034b05e136fc4, 0x04afd6c7901b4781, 0x5a7de9253cbe961b, 0xcee994d1835fe30d,
0x2e8957538afaf2a4, 0x0142b006393b3988, 0x33c35aa8fa7507f9, 0x85b0072c191832cf,
0xf3d6f769ea7aa350, 0x03f20e5736bba3db, 0xbaaccf20c928a386, 0x4acfbeb7bf20c9e2,
0xf70870c8079586c2, 0xd30bb2a77b7668c0, 0x8474cf4bfe5b6907, 0xfb437a3a78bbe41a,
0x3831d80c7292a47b, 0x20d68f0c570243ba, 0xb16843e72f1b6101, 0xe1bde562f3617838,
0x5ac0ceac72859058, 0xb8c3bbc1a7c592f8, 0x1f73eda1a0aa0362, 0x0cbf0a88b2973c04,
0x51a8819818af1e53, 0x23d1cc6c5c5902a7, 0x066ded2f9b950cac, 0x909c03b584fcc6df,
0x42b21bcf08836d4d, 0xc014376a44679fbf, 0xa4e25915bccbd87e, 0x4b983bee020b0ff7,
0x28b3cc85e5019644, 0x13b41c7d3807e7ea, 0x08eda7486dd03ce5, 0xb7d06e8a66aa9166,
0x3cdefae3e31e848d, 0x92018365825457f1, 0x7668f204e6104f8e, 0xcb9c3e8cd721c67e,
0x33ed893d74bcb5c7, 0x863edc504301c648, 0x3b3bb9383b5fa061, 0x7f59e14a87fdb967,
0x603ebe9ee6d252cb, 0x7242612e277577dc, 0xe8af8f921d690951, 0x2b9a7709a5f20dc5,
0xe6c7b0e4f0b5e2e4, 0xfea2998e54c74435, 0x7dbb07bd70b2b57e, 0x3452dd18abbda548,
0x3d11d526d6d90fb1, 0x933197d80ed19016, 0x0f72b20376fc2a69, 0x8fcf74d978eaa1de,
0x7cb20c4d844c6ec8, 0x3a5e93f246a6ce1a, 0xe2860bf20ace0123, 0xf30bd30bcb85e696,
0xa6d348d0bba958ff, 0xc00d7812ff88491c, 0x9775cbb5adf55d09, 0xcfd894f9184e97fd,
0xe9ab298ec0417b69, 0xc72f3fb15e2fede9, 0xc9743f18fbced93f, 0x43b61b8069880ee0,
0x825189ad88a33454, 0xb218383d275f6aff, 0xb97f5c6fa26d1b63, 0xb4cafe74a9f64b15,
0xee8087487db34682, 0x041c626fd16bb541, 0xae97356a7fee4cce, 0x06e4343a305b42ec,
0xc484b8f1319dcbf5, 0x0770593606c406d3, 0x961fd507f6cbf4b3, 0x0db98c3e6489dc33,
0x10d06b153c864857, 0xed4e4cfb17304d88, 0xf7da72b989ac2076, 0x28194504b2130379,
0x16f3c70d9642268a, 0x6bbde17657123d77, 0x1776d1027681cb1f, 0xd7bc9e6404472b9c,
0x7302b960ddeb1536, 0xe86a2ab1265ecfa1, 0xa739c45b70f89619, 0xad5a2b78cff8a8bd,
0x36040d8e58e9d9f7, 0xe85a01c491b42dfd, 0x7eef716453ccfd91, 0xb0c3d37c2a423a0d,
0x500b3729475c63dc, 0x267597292bd5cb25, 0x5cffd83768329a89, 0x4373732c04dbd8fe,
0xed651d4addf29942, 0xa72494b134f14f42, 0x946d44f687ff81c7, 0xd832cc13d732b1cc,
0x5113577d10b77896, 0x84979de1f59bf743, 0x8674f36c973f2380, 0x880dd79a4d8a136c,
0x6b74aeee4614443e, 0xf2cd42e402a3f55f, 0xbdc7f2db5c3e0560, 0x8a2ba36de240d185,
0xf3d2569f6644b2c6, 0xe58d535c54f28116, 0xec6d494814057979, 0xbd58c0151a959ea3,
0x52410b41b6d257b2, 0x6c0ae9a4a43e7082, 0x8ec381d52579519d, 0x2c7e25997f9bed86,
0xb6f5df9ba2e90d8f, 0xd909305724bcd54c, 0xedf1cf65f53e4ec6, 0x2d02f22f6e965d6c,
0xeb92ce0444c65392, 0xbb4bcdaa05d66441, 0x8469e04ce903ff86, 0xe9f8a144b7177708,
0x6062d2b77f9096f2, 0x8b94e632abfbd988, 0x006dcc4a8b357273, 0x0b52b365cbe8e247,
0x83e8df34ed500725, 0x60fd84dd1d9dd5e7, 0x8084cd8c5ea4c7c3, 0x20b1eae5c60af630,
0xc3ded3e993ef93e5, 0x14f0de738fcf3494, 0x30e0b5a99e6897b1, 0x90cde81f228c44e4,
0x79865ce5f95cdd7e, 0x2fe876ee23e0afe2, 0x85a0cbc260e2a112, 0xb4572a6b95ba6774,
0xd76a575af98ef0da, 0xbe7fd58e4019fada, 0x9e31546f4480eb77, 0x2207255c4da78544,
0x4151a1a4e409cc08, 0x24f42c01534d84a3, 0xe00cd214dcfcf70c, 0xbb12e3cf2271e4ce,
0xdf9234ccc043cf94, 0xd65946c90ef01aae, 0xacf686bdcd04a68c, 0xf886c2f66101fa0c,
0x21e99356dd3754d0, 0xc1d66e4014890a4b, 0x7f21863e79124044, 0x66c5684baf8f53f9,
0xfa3a335deeeba46f, 0x7ed01ebd976ba75b, 0xd5f7d4a203f31d90, 0xa7f86f52d24f9a55,
0xd57277f15fa4ab64, 0x217657d3f174d742, 0x1a222059ed4f8708, 0x02df867792490925,
0x70e6b96c1d3b9308, 0x4cd1efd51599c084, 0x3e4db2b342ae63be, 0x043591db287b835e,
0x45b6487afd915989, 0xd481630e213803f7, 0xacb638e76039fb66, 0xf2fd3d7c759b7e2e,
0x5f053ba171dae8f3, 0x727e8b676acc4351, 0xa0f3cff7e86b30f5, 0x87f1d93d7c5e0908,
0xdf071bfc0823ce77, 0xfcff6cb801d89da0, 0x162bc7acdbb97075, 0x6edb143c6075d706,
0x5f40d968d73880bc, 0x9381bf4e3d255711, 0x09666fcf275dd855, 0x02a99f634bb41153,
0x40ff7e0456e8b2b0, 0xbc3d41ea2a241bd4, 0xf536beff38cd0323, 0xf23284725407737c,
0x081ac6490e883541, 0x24819dce50295be4, 0x45158ba43e44f2a6, 0xb44eb9760b20402b,
0xcc827640eff56875, 0x170353d089c82f78, 0x59761458c22a7b80, 0x3c38dbab63a12852,
0xe8874b8e2439a3f5, 0xe00f6141a0ba8b2d, 0xa95f5f21ccec385c, 0xd7423c3bb39557ca,
0x48a538fbb3052bbb, 0x1cccc3140a0dd8a5, 0x197544019fbf8294, 0x11c44dae5b97deb3,
0xd75e7d364a9f85d9, 0x17119f6d11e845ea, 0xc7377ebc4f4f57d3, 0xe5f5a3e4ec0e66fb,
0xd3f78681f6e9dee7, 0x7769676a2c6f1b64, 0xc383b05c7d2136d3, 0x0544a24860f19dd6,
0xd9c6039ea1047fbc, 0x1711e7b5695a7844, 0xa0c61bb4157caa5c, 0x136ba9283175f8fb,
0x8818099c9e918e12, 0x5d6520a7680d300d, 0x87c5c86f623d5222, 0x86faf4f72bca8507,
0x8e80b76f6bc33a69, 0x7503aff95849cf36, 0x0781c0232d62012a, 0x43f95e8700817154,
0x03a3074f05f6fd83, 0x83092c8d4060d103, 0x316ff2cfa1cf05bc, 0x66a18b3689c3b485,
0x8bd44428a3b0cc8b, 0xbe7cead795d16dde, 0xae6ad5a1f1a63a14, 0x9cd2d25e9b86e245,
0xbea173a04e918892, 0x8ef9e9aca9151c7c, 0x7703940a6d0416cf, 0x0530351f5656447e,
0x55a7761e78f757cf, 0x21523a3af82472da, 0xe0464a72643d3561, 0x3ec19098aea1acec,
0x7022f407893c1e09, 0x06d47170ba660013, 0xb03ef6f367bc0a1c, 0x9afa7e5f3723c6a8,
0x3693f31dec3c6503, 0x61da062779dc24c7, 0x40f46b048c6e18f7, 0xf80496de46cfc92c,
0xc826e25c17bd4af5, 0x71f62131df10f47a, 0x3ee5902a456b5872, 0xb861d90a571fb997,
0x6f2bf9f500513def, 0x30cc22f1be87a8fe, 0x040652e6176dc08a, 0xdd474e12ee614d45,
0x4bb625ac7e0072ca, 0x9c97b75fdf73952e, 0xb2432b3849ff6452, 0x27b819c8a0bbb820,
0x29012df96e6b71c7, 0x1b93822e39cb3542, 0x4fa971141efcd09d, 0xbe498e4a455777bf,
0xd41757cf32472a2d, 0x523626f8a1c26b2d, 0x18921b9df745480c, 0x8bee769eba287457,
0xcb27d05b0b352e39, 0xb1c3d655d7f11ffa, 0x9b2f3ea4d84d19de, 0x6dc61172e8af0e56,
0x4356445d5413a47e, 0xc8ca751b61fce681, 0x28ec0280a2fce37b, 0x9dba07c74b45b615,
0x45156b6db2928bc6, 0x12efc082a5c86e12, 0x583fce5489074bc3, 0x203b7cc8d33d983b,
0x346121c682649c27, 0x76fbf3c0b5b675b2, 0x802e9924d7d45438, 0x3a32b66d726839dc,
0x2edb4ad1f793f886, 0xb5b4ca71a5053caa, 0xded14dcab8b9e7ed, 0xb0d889b189ed0ef9,
0x92a4c1606279ac8f, 0x37f69b445b37c897, 0x773898e36ec19c51, 0x2ae2e23ea8d5afee,
0x7f022a9f834e535c, 0x2bc273111502b755, 0x4be2b6180cbd87e3, 0x34e1045804870c8e,
0x98dcf58e30eb5463, 0xefa785c718ba2aca, 0x2f55f4418904a8db, 0x00a6ea0afca95b4c,
0xc63d852930812175, 0xdefd6b5ff3a57c1a, 0x69349d4d1368d59b, 0xa589f7c541f1a189,
0xda661a7e37dc1f36, 0x3a844d87a50f77d9, 0x4e2aaa3c258e5eb1, 0xcbf59291136311a9,
0x9bf035cf21318e81, 0x8ae1fee150cecdcd, 0xd25cb7f69d2e6afc, 0x7b42f7a2ca434695,
0x0c619019f458c37f, 0x574f6d982f5a8858, 0x3e31a283aa4be987, 0x94584af5c4214dc7,
0x36381d95c5a35b86, 0x179c81ac4524d405, 0xe3d07e84b57eb8da, 0xb150a8283e862816,
0x6d2fb7e46f4d1366, 0x581fe96536be719f, 0x34c53e9df4fb4113, 0x797586c3ad4562c5,
0x536be3480fcb5f05, 0xbb7cecd08e9b4253, 0xc67819c60fd14bae, 0xa8f6561b80fafd13,
0xf8598d9996740fe8, 0xaf1d4af39cff83bd, 0x882532cf59669be9, 0x36e54d04713113c1,
0x3f3af394a1142c38, 0xadb98c08a17a5de4, 0xc067884114add3c1, 0x5e4c1634ecbc83dc,
0x7dc574028603991a, 0xd01f12e15ba77a6e, 0x248d2117f5150bc4, 0x9acc2cfe09139956,
0x68c00775a0314212, 0x20cb68d03b3e1011, 0xb1ae3d3993c8aee6, 0xe1659e5e2834396a,
0xaf8d28e389021c6d, 0x35fc4d30244e2053, 0xf7811386199e0efb, 0x42a003970b8d3efd,
0x5c9bb0791c0c51a0, 0x42e9e42c3a96709d, 0x749d1980b24648b5, 0xab63b32a4bfb8b4d,
0x8d21126c23e57c2b, 0xbefa700750b1ee0a, 0xfcb3a2ac78898891, 0xba08bf5840f3522d,
0x37930c44e5938de5, 0x6be163407fcabaaa, 0xdc6cc486dc44a915, 0x7be4a191962ca11d,
0xfeb5963673afe083, 0x5d03f23fd0a5181b, 0x366ad0985d74fd4e, 0xc47a6faadc060059,
0x78c9ef306c6b5f6d, 0x60f1cb18e74120e9, 0x1f1232ec6e36bc19, 0xdadee09bc0857e11,
0x886a659de662d2d5, 0x76ea0e8215387a72, 0x270866a5e759853f, 0xec2f8e0cdf1c52c4,
0xdb957fe531eefd6c, 0x1c4cef001432f7eb, 0x2db63f558f2ab646, 0xcee2727199a74ad7,
0x908f1fe1be97adc6, 0x0039b476c22d0b34, 0x79ef96620bb04ad7, 0x601f73eec945226a,
0x75bc5b1c397d17c4, 0x6dcc36bbfd684827, 0xdb6fa85c2b027345, 0x87c56b2baff3df4b,
0x811d88d9efd75355, 0xfcfc1c1e0849c17c, 0x0fa3e4adaaf81f9d, 0x5c432fb7ee778f37,
0xbc23d9625983e39e, 0x356089d7dea5675d, 0x895ea85d94c6b249, 0x347449bc949a6ded,
0x460e3e4af7013d7c, 0xd6f79548bdcb19f7, 0xc6b41cc483a5c1f5, 0x42c6e10799029743,
0x3657222ac4d5251e, 0xebcaf6b8b38eabf1, 0x980e92eaa8082f31, 0xdfc1d11acef82d97,
0xbe80c7ba84f5f2cb, 0x3c8523444f1d4419, 0xd4a5901c06160900, 0xf2fd072325fbf418,
0xb7552e36f39f4147, 0x11cf0a2a7760567f, 0x3198a6418f1425e4, 0x2caf84291274bc0d,
0xe57aaa42a1436353, 0x0d1f9ba0881960fd, 0xbbaf2df2d692e5e0, 0x5ab2c251192652ce,
0x7b20a122a443e293, 0x96598365f8a2fbb3, 0xa305ab86b49e3c3b, 0x04884c0f4028aa5b,
0x89f491d63c4fecda, 0xbc502942e8081415, 0x83ea7a3ce05d18fc, 0x11a163249fab7a72,
0x112d1cee61e5318d, 0x9e7a093cb612d7f7, 0xdb0264fe1be213c8, 0x3a616071d417950b,
0xc14651674a6630ad, 0x72e68619e7bc788a, 0x178dffaef8dbe8e5, 0x1444931895f231a4,
0x1d1810dfc47ab56e, 0x3c3916216e3887a2, 0xa28f2a29606b7825, 0xbbc2f403f39b034c,
0xbf1d4d13c05f3024, 0x9282d719a9a7f17c, 0x5be7b8ee6eba3e3f, 0x6d0cffc8d789a36f,
0xff6e5fc3496a65c3, 0x1f01d2c1ebab6ed1, 0x02a92eb674a551e0, 0xf5d607a11bfbae84,
0x27bcc52900c8125e, 0xd128ae9be721d4eb, 0x9a990d8bc088d989, 0xf3cd14eb9c2693aa,
0xaffe63eaf21db2ee, 0xe62ef4715a1e203c, 0xb68f67d1294da274, 0xc827ff060bd31224,
0x607b5a4973af2aca, 0x2c5e1a8b0444c202, 0x1722a565d069a21c, 0xbbf2ddb67a7c6a5a,
0xb5a8eb205e255128, 0xbf4ed6ee45ce6bd3, 0xea7054634a877ca3, 0x68f1fd386d50e277,
0xfb26b5713f484a47, 0xe44aa02589a4be16, 0xe6e8a6477f730028, 0x31a49b99b889f50f,
0x8f6b8f39c1e6ca22, 0xfb02cd89bc28609c, 0x63e17473a9fbf162, 0xd0a72354c5bfc2fa,
0xfa727684a47a88b1, 0x68da0503e8590112, 0x12f38f0babf64ecd, 0xba99d47442ad8741,
0xb8dc041d8fdc2b41, 0xa5f6947056b49d61, 0x644681f60dc4021e, 0x34ed5cde691424e8,
0xc72bf567e52ae403, 0xb0f67ef58df60f5f, 0x0a827bac8c3e862f, 0x39dc49a2b2f42e28,
0x8ae217f8410308bd, 0x452b5a3f4df88b0f, 0x430f3c1dce6e177a, 0xfa51a42fd5a6d789,
0x6e5f2afff5f1d257, 0x3c0737c44539fc07, 0x67e72e1cbbdf718f, 0x2ac9d3c84173ce2a,
0xc0df86e6470da6fc, 0xc810a322c4d8c662, 0x17bb018cdcdc4bbd, 0xc3ab0c624b650319,
0xdfc3adbd0e6e072c, 0x16729f78f1f62f12, 0x7fe24963a2c4730c, 0x78e48aaf6c4f7b58,
0x3988d6b4951e8858, 0x7ccbf72642c06a4f, 0x6586fa1255e544e7, 0x61298d3c386ee71e,
0xb82d0d5facc951b4, 0x0d885d2241292c7a, 0xc3f2a683b76006e1, 0xa373fb96a7febfae,
0xa550c922be54ff6e, 0x9ef8759c70574dd7, 0xdfcf8ca38f6d40e0, 0x9fdd3c671315f594,
0x6cead69ae1238cde, 0xfa3a4508465f8b16, 0x4a1a128bd545c3c1, 0x673bf884dd3f6991,
0xc33cb99eaa67749f, 0xad815e616c52c4f1, 0x32360428bcdb35ad, 0xae915bbf8fdaa611,
0xfec3ff4d6284b53f, 0xbb038b2b60ccfb5a, 0xe8fb28de4ba0d116, 0xf39a06efa9f275d7,
0x38c3e2c52bffca35, 0x65e60616323121e7, 0x3d406d524b78bccf, 0x507c0330774bd0e7,
0x6dbe6a02b4a57bfb, 0xc3f8bf3af89b1525, 0x80ff15c53e327172, 0x76d2a6fa659d042f,
0xa9ab3383a2f794ee, 0x81112970abd546ed, 0x81e209e9e200ee84, 0x65c9cb20da4f7126,
0xe32a41034dd6d241, 0xc973e20d592a3fe0, 0x71eafc732b1fcfbb, 0x3f6bfc164e0a7d8f,
0xefd2798ca89df45d, 0x5b5535f6f29192fd, 0xff35124e65e93af6, 0x9e2d74c162498a97,
0xf92eb1c1b427a70d, 0x10e8ca21fc7b927a, 0xdaf221031ea41aae, 0xff6af20c56ce0961,
0x61f134b36a87b97c, 0xce772761bd4daff6, 0x124bbcf04ed56de2, 0xed4082483c18fa57,
0xf4fab53a52c2c77b, 0x6040dafe70c7c149, 0xe2f9a7d31dd15a65, 0x8879a81d8ddff120,
0x34d386cde2bdc6b2, 0xaae1402a02bc64ba, 0x0bb9aef985cb1df2, 0x84ee60d82c5a8cb7,
0xc671d33db0f15f08, 0x35d097f0e8cdd9bc, 0x049bd2759a8002ae, 0xd634a3d2f6acab25,
0x64ecf0be7b3b3b63, 0x1f23156f16a798ac, 0x5b33ab2701fa7cf6, 0x8c2d3f24c48fcf08,
0x7ac15fabffdd4c85, 0xa3685f57cd088a4b, 0x65604388be2ec68b, 0xc9b656446f781b15,
0x9609211701611bf3, 0x8a00148e9ddd6c60, 0x17243a04f64a574a, 0x1d06e5192cfb5155,
0x23530648d38b5c1c, 0xdc680bc5f4d5ce7d, 0x6b2057306daedc19, 0xfacea2129a1dbe65,
0xd9edfac05757c699, 0x9597e5290bc9cf0c, 0xd45f1c389d7d4a68, 0x3a8168bf5c24bac9,
0x1d8987040a891f08, 0x78da3a18478641ae, 0x505cf0582b1df9c6, 0xc109120c8dc7a277,
0xd2b829f701b192d0, 0xdedc1f5b18478c13, 0xc0dc9b35328517b9, 0xf57b53e08ecb9a80,
0x23f2e72dbcf41418, 0x7c2c7501fa1b0759, 0xf6b780a85cfed843, 0x111c5c642993ac2f,
0x11604a9c9dc9c293, 0xfcc32e0e41ff9852, 0xd352c549219bd47c, 0xa8d0dd877ccf98e8,
0xc4cc66cf00bf4c17, 0x26c309d8c3e788e6, 0xa0098b965ee0aa7b, 0xeb3a30f355728ea7,
0xf4938284f136b702, 0x25099f1272843603, 0xa664ce435e14038b, 0x381bb3866f5150a5,
0x39d629dc082590f6, 0x2836ba46c66bb4ad, 0xceb214e850e4ea64, 0xe48036ea3041bc62,
0x48126646e9701da5, 0x03fcd4b18e5bd998, 0x7fb1262e091477e7, 0x8b3dcf7216b7fa4d,
0xfabe3fd8f47e9b0e, 0xcbbbe5301fb00a6d, 0x5744e5c66486f32d, 0x04489ede39a8e231,
0xba61564258672916, 0x0328f9f1e736e2a7, 0x75b09f2418d87ab3, 0x97e85b98cf406e8e,
0xa59de15997979cf1, 0xd9f24958952c986b, 0x15fc3a1fac92c5ea, 0x31d68ef6f5ad241d,
0xd97982c709589cec, 0x4f5045e5b2c84704, 0xe54811b322f6321e, 0x711da6047c85112b,
0x313315e842fa593c, 0xec3d985cff07e762, 0x6994dc0e3dd78dc4, 0xbc9b2dfc0232443a,
0x99dd46ed39c07d6c, 0xe0c1001690ca7a8e, 0xa117f38e178666bc, 0xdaf9003ebe5a5e44,
0x728f89ace6ef98fb, 0x068023b8a7ba1fa2, 0xc4e2b3522c5f2e8e, 0x40d5e0bca4ea34ea,
0x034cc9fb2708b080, 0xd53454e8369ba3d3, 0x6b82ef1502d917df, 0x220753d0530f7877,
0xdaf1d162696bcb90, 0x7032edee8ea6aed4, 0x8cec33d3fb85bbf6, 0xb0f6f2a3bfcc4a01,
0x36fc4538b6eba5f7, 0x082b8813d467d91a, 0x55617dca197bb4bc, 0x6219075aec1b5e10,
0x83247da4d7c91444, 0x8bcdf605d4dfe8d2, 0xf659006120c57e8b, 0xb602840c48c2a29f,
0x436d6d528ebc98a0, 0xeeec330ad6122438, 0x11cdd0f92e5ea03c, 0x06f80872a9df0544,
0xead35b186b700328, 0x8d52540a8e65bbd5, 0x95aace2409869caa, 0xfad3a3ec20048cb5,
0xad333c7252f7cc71, 0x36bb03f340c44872, 0x2a148b6062170c61, 0x21b0f4c1356d5c0e,
0xd84305411199c017, 0x464afb3395347f9e, 0x6dd693c51eb182a1, 0x775ac58542a276e7,
0x20971594cf8de26f, 0x71bbffaeb0f3f042, 0x65f7c54a2fc0346b, 0x5aed5bc8679a895c,
0xe18773e416c9df2f, 0xdd9cea6c8964c35b, 0xee0d2f4a412deeea, 0x5ca868f95594338f,
0xf9f426a07a8679b9, 0xf36957725e9c53aa, 0xed8cb503dddeb6ee, 0x306d12054aaaa608,
0x8de3f0666f2c9baa, 0xd61f2ec1b94964a3, 0x73449d5b8808e1ad, 0xc45b5423f0653260,
0xf3e85d462518bd75, 0x284c2d5849a27e7f, 0xe7271e78c92aab81, 0xe80f69cc31528559,
0x3038787e093d53c8, 0xe67dfbdc6169287a, 0xf1fe50748f614390, 0x422d24aa8a3bdf3c,
0x4e8ff618dc55c68d, 0xb88dc2acdd118428, 0x96d1050cf1badc44, 0x284a5e41e2b68b6e,
0xe39065957804c753, 0x7b5aa004bb709165, 0x444836942d26d62c, 0x515beaebfc3ae606,
0xbb77364301adabca, 0x4134ab404d545d41, 0x016497b070eee340, 0x0e9b6b637a9a6690,
0x954fac12e71a88db, 0xbb77bb024d521d86, 0xa1118a21c3ea1f6f, 0xb3945124694de3a1,
0xa53f48accbb0ac75, 0x9e53cc1e0fc665eb, 0x04752aea2f03141d, 0xe2c81ce4a6f99078,
0x767b21f7d387bd7f, 0x74e34a760658769c, 0x1ccac6c03c8fa2c4, 0xcee524f5bc7b391d,
0xfb4111502e3595cd, 0x05576d1d3c1b4c82, 0x8b03029012119e66, 0xd28822a7093dcb7c,
0xcd82bfe2ee0d7f0f, 0x18ed7363fbf73bc4, 0x9438ce0aa3e4d0a9, 0x308618e834e9e0ab,
0x912b93cd6a2035e6, 0x6bb2ccee9bc2c489, 0x2f5a2bb33dd0e157, 0x10dd76f0126effcc,
0x002b04d4639d2197, 0x71c6e39ca0175ec4, 0x1761ddca96410b15, 0x367dc51a39ff1ada,
0x3dc4f6c2747a4fe1, 0x277667b78a649d78, 0x37a1d00ba343bdab, 0x29377d384be15bd4,
0xe79b4d3867b685ca, 0x56c90bffbee643d6, 0x7525f208f34e3eb6, 0x0375539a86d8ea89,
0xe27aa0474b9d7ab6, 0x767175d2947d3311, 0xda72fbe570fa6d96, 0x0ebefaab9aac0f2e,
0x83ab0a032b5e716c, 0xf65f38ab24a5805a, 0xcee5470ae184684e, 0xf7a885f3c21045c9,
0x2d8466d39982ba9a, 0xbde9120c864b25bb, 0xa561a9f50ee08b22, 0x4600e3c72779bf2a,
0x33230446aa3854b4, 0xc25e397e58495557, 0x8e043b773f9e88fd, 0xe2f59e854c3b6c29,
0xbeae22fd68085c9b, 0x358ad74d95b939eb, 0x6cd6239dd5bc4e4d, 0x278ad4c22bbb7ed0,
0xa9caecfb86f67c90, 0x9e2116dd016635ba, 0xe4b69bf2e4db4d95, 0xaf13105a367719fa,
0x16b55864a69ae171, 0xa4e783d3097a9532, 0x867204d6815be317, 0x1fc95302f15a2f9d,
0x527f975eef50668e, 0xc92c02c6dba67771, 0xfb2c4cfce985ccf2, 0x97beb7f89e212fe4,
0x9120236a5d645fc5, 0x087f23174065afa9, 0xee551075a4140901, 0xfa6854fa25d4ff2b,
0x3e33844d53c159ae, 0xa69eb7c14ccbed57, 0x1bd696b9389c314d, 0xa26130d5fd650225,
0x0f3bb5ddfc8249ab, 0xa39388a60a872abb, 0xab0481883ecedd2e, 0x48978ae9fd6d6d8a,
0x71b454a019f8bc95, 0xd22b7df2e04587d4, 0x2ba5616a77f1cc2e, 0xf949181ae92fb1e9,
0x5bf10977534fbf43, 0x284713719c17d419, 0xda93bedcaeb5714e, 0xb124c64f545560dd,
0xb9d6b8495ac19488, 0x5c2ba005a9332395, 0x3718b22dc2c8e3d7, 0xdebe421c13b66a08,
0x980d3820cfb24c3c, 0x29b578ca69c577a6, 0x2d9729ad18aa3934, 0xbd4c88e5514cba87,
0x0c76a74e83270905, 0x5e59c7a679709ab3, 0x9c35dde44d246a24, 0xd5de8d9aa129f3c5,
0xa3ec60bc4c46a7df, 0x5bd9c8db6e6bda43, 0xf385bf78fc911a65, 0x96e7c50407335cd2,
0x36b8e6178895fc92, 0x97f44e36fce9f39c, 0xd0fc253652a4647c, 0x11c8d8fc5e2b221f,
0x3f93cfc2ee897ce9, 0x7e75aee2d5f774d3, 0xa648a2df457d494a, 0x73961d270a40a3fd,
0xe4996304e1907f66, 0x1427d1b3d99bb75d, 0x8b014aa0d1540406, 0xd3d69926d35647d9,
0xfa22093a0323765b, 0x45cf74f035eda47a, 0x2bc0eb5a92ebfc48, 0x5b8a6c57fcdc0ad4,
0x334da2a777b2dcba, 0x7b2a1c8c556200c9, 0x1b5c7354de61b5f0, 0xd07f2c17b0d10d24,
0xc975bf2abefbbce5, 0xfb71ec0de4eb9379, 0x03c03283e29942d5, 0x07a0c9f62f5b4989,
0xa32776985d902bbf, 0x90ed6f3048c1f4e3, 0x42b9f9c658decbb4, 0x6fc55e0c175429b1,
0x3bb7898960abb9dd, 0x33d926a628ce0deb, 0xe05c2e00ed1150e2, 0x5d2c528040e0e30e,
0x6d15a5f03efeff76, 0x090c6ee678b0d374, 0xe313d45152cc8113, 0x3e764fc2999d0364,
0xaaae0487ff581f39, 0x8b52dc9b473d9c4e, 0x8eb8744cf3ad1be0, 0xa696d348c15f9a08,
0x0a23d09bba9842cb, 0xbbd1a9ba14c9308e, 0x8b61b9442292ac65, 0x46d459e65e2518c4,
0x9d4893063d76bfa6, 0x50a0c234f060e91b, 0x7e77a03666491d30, 0x7d70d32e34132244,
0xadab72219505d0ef, 0xd1722156c586ef35, 0xe0a87bd791c32090, 0x765794a6952de117,
0xae8f97f5a835ffc9, 0xeafdf5145e107884, 0x27c86318aa7ba1a0, 0x1b0536fd42926745,
0xc70e56f45a9aed13, 0x215364d78dc0adda, 0x795cb646752b72e0, 0x09c11a43b6697cff,
0xf3cb4cfb69ae5108, 0xce6231e09a8f4977, 0x4f257d51b836088a, 0x4c1c485ffed1d5ec,
0x2d36c6469db8660d, 0x7892335e0ec62383, 0xa4acc1a38f10b6b2, 0x3ebadf7d97b1e06b,
0x569589fa8e278d36, 0x81f1262ef0cb6087, 0x7132bdbf9c734ee7, 0x4188b0aa38abf80f,
0xfa90291a2b68b21f, 0x4bc614add1694223, 0x3e052bd548d3753f, 0xea9485d95e9f325c,
0x51b363e85294ffc1, 0xdf76f6101234846d, 0xb7d46ce4db8e10f2, 0x9a9a23c053f559e7,
0x79a93ae5d0a6dfdd, 0x31f9b64a65ed99ff, 0x659e14f91ae75c09, 0xb42fbbcdf7175c71,
0xeb8f43dce46b849c, 0x60f63197d82c0a58, 0x76fa236c56501ea0, 0x667d49ae28dc3702,
0xf858419d5c621abd, 0xee42168afc1c8e14, 0x04f541a9a7078adc, 0x373257c8be20ff92,
0xcbdd21cec53ae15d, 0x5cc4f178817d14bd, 0x735185b898d42ec0, 0xf8538c3bd4b48f29,
0x4ff7e931933e473a, 0xbab8032790b898f0, 0xc0fd9ce521961e4e, 0x05a4e9d76d7865b2,
0x3dd8c2ded4a70288, 0x3ee53e796548aed6, 0x9e100223969d4adc, 0x7f8853a64077d02a,
0xe05822d725e41343, 0xeb74d45af6ec17a0, 0xddbc4fe9af3f9cf7, 0x9b958fa7aa573128,
0x0a6f41c37a0515ae, 0x3fb56560be64d75c, 0x51b9c42ddc151ff6, 0xe377ae8ab80bc45e,
0x80f01690d6119bef, 0x1f626c08897dbca3, 0x196e2f2efecd6b40, 0x49d26bc4b9dd0799,
0x2f322ca24d887faa, 0xaadf24aaa0361295, 0x2d0c05ce7793241b, 0x3f451a79540a5fb5,
0x4ed5f746adc8780f, 0x6a0f7fab948c1d95, 0x5e56be4f7c5cc470, 0x924cc0d6025ce42b,
0x6809eb6a7bb5d94b, 0x094f446d84e6ab24, 0x3d1bb05295a106d4, 0x3c14f180dde4ba33,
0x5cb8d84bacaa8ed6, 0x15e14644a099cb4c, 0x84d1bfe4e320e1d9, 0x4c49857689ee186e,
0x4c8bf94d43013fd5, 0x7a232c3aed100723, 0xcb348f572ef09283, 0xdcb3dac477e70234,
0x472ae9ae14bf41a6, 0xc5421ecf18539cec, 0xace00d70765787c0, 0x405a1bfd6f7504bf,
0x805bb6663638aa80, 0x902e12244fdbe97d, 0x513737b2a12982ce, 0xfb69613834342be3,
0x83685a4028ed7ef0, 0xe89675dba086f929, 0x8e6b05b66d460668, 0x8313f0d9009e099a,
0xaebeefb0d96dd52b, 0x20cc3c5b8d6e1354, 0xa0d9dbd63830771f, 0x7e8182888c94864a,
0xdc8b503a7fc36f77, 0xbca1672548d26488, 0x35c43e16f28b357e, 0x2be989b14e1bf90f,
0xe14fb805b853f9f9, 0xd2c204ab3e1bb67f, 0x0d4dc8a8d827c49a, 0xed8c67127beb2a51,
0xb34d1828909f6d6e, 0xa8a19888ba503612, 0xdaf5ed8e81ae56ee, 0xd7e774fa74756c2e,
0x6f8fcb4b6e5bf24e, 0x34bbc8cc36bfc5bb, 0xeb88a054c17628b2, 0x0ecf053fa582f641,
0x9d618d0492d0492e, 0x910511bdb29e16a3, 0x1e15564e50afd095, 0xf2ff25414b37fc87,
0xf76f3f63384c92c1, 0x8d7b5b9f6a8f36c2, 0x110a7a89a1d0e85d, 0x4b7ad5ff6073ea67,
0x377a7c5fe6a13ee6, 0xfc6ef1961257817f, 0xa6a5801e0a26b70b, 0xa069edd56b43e346,
0xfca3f9127b10830a, 0xad540a4f37d96c53, 0xba71d2ef9baa3fc1, 0xfe47bd05889cfa30,
0x400c27bbb49d4efb, 0x2f6d33f68be6bc18, 0xd5fe0bcb92a68c0f, 0x85763d41184fd4b7,
0x3eb3f537d7169da2, 0xf24dd4da8362226d, 0xad39a8373c2b047b, 0x1a914947818d51c5,
0x9e4cf47494e7e219, 0x68e8dbd631dca0bd, 0x65f4260385afda51, 0xd7fde31c3bae0c70,
0x09e15e852b6294e9, 0xb56fb360e1d56f95, 0x00d63e13254fdd80, 0x81d9ab96492740e7,
0xd6de50cb204790c1, 0x42fcc23ddc89e1f7, 0xba1f0e16a0cbd46b, 0x19f2367995541b7c,
0x00d489423015ddef, 0x6b69961803218aef, 0x73a9d119c961e0df, 0xfbb164e28757a9b7,
0x88bbc65e242bca94, 0x46c352a98ec37e5b, 0x18ed2227c5538b3a, 0x42e7f6f78bb4097e,
0x697b7d9680ace2a4, 0x1cf211535b77fd32, 0x681870447a476039, 0xe38265f88bc66a1f,
0x5c897711af0c64db, 0x267aef382fbadf85, 0x0f908732e297183c, 0x4e0d5f3d6130c259,
0xc577f90b4d87e142, 0x8722e96c5e9734cb, 0xb27f5e6bc644f54a, 0xf7fa3a21b6159ce8,
0x227cc23ba6431d48, 0x17de80785a206c11, 0xedea21f2a6638048, 0xbb1c17c6934291d8,
0x7ebcc63e90804846, 0x39c61a3647ee332f, 0x406c6eba3c3a7ed1, 0x6497884e828124a3,
0xaea665ab4ed930cb, 0xe7e2d21c9f97c742, 0xab6db030434745df, 0x3fae35126b9abb00,
0x9f6dd814ab4dbb1f, 0xed10492b737ea1cd, 0x2acb280f03d2775e, 0xd8ec0f034c2b8ca0,
0x7678ab2c7d11497e, 0x2d464dbd9dd3db12, 0xc630c9201f694773, 0x40024150586f801d,
0xdc8766c6600108cc, 0x2dad1cccf0600bcb, 0x4ea4e29913689fdb, 0x30a875aa94d0a82c,
0x0be9100b0f92b8d7, 0x30b2451879623fde, 0xb4b7c47cfd80e13d, 0xf8b2a49c074213ce,
0x3855d9eeafb5edc1, 0xb660aade5260fb22, 0xc27eb4a2d6d00e37, 0x4aa55dbb5ca4ada2,
0x2705e64f1edbfcef, 0xf0a80db047c0a903, 0x7c6eb467887265df, 0x72843cea6254eebd,
0x6fc175a4f41aa822, 0x61851995167b5151, 0x36b6cdeb06fe575f, 0x30f894399f952792,
0x5a51c071714c642d, 0xa3f0ddabc6e841ed, 0x0ae333da6f7c9138, 0x9149d23a17569341,
0x1f251b037485bcd0, 0x4a7657876de9c548, 0x2f7c840f497e3a4a, 0xe82d53ae4d668b60,
0xfbc3b69fad4835ac, 0xec2e4d2333e00798, 0x07d59a3c4c05b3b0, 0xe8beb15d4738fd5b,
0x85e7d47e09fe3fa2, 0x52d47528276efd0c, 0x316e2ce5ed754cf7, 0x548e858349624e29,
0xccfa6bbe9ddf9aae, 0x75abd6c57c9d2616, 0x77691a1135204180, 0x7683a4cadb2ea38d,
0x844387838ae5eace, 0x13017165c9dae4cb, 0xe44226060001d9a2, 0x73f63072200780e4,
0xb92088b818c7bf3b, 0xc294e7e2ca8074e0, 0x9240748d08f9872a, 0x238967186fa747ac,
0x0e36621827c344d0, 0x57db097b7138027c, 0xbadc243432fd330d, 0xe648ad40b5cffec9,
0x5a520eb09c258f68, 0xe9340dfa993e999e, 0xc85338b6b745221d, 0x7a9f0939951e4ad0,
0x915672c66b84279a, 0x0d7f00e101218fbd, 0x235a264f592f330c, 0xae2ab17a7bbdd156,
0x8db1be2781eee902, 0x8bda463863d599e4, 0x7a6583e5ac6d5b3d, 0x79fb85d75a6f931f,
0x6cfc167c61bd90bc, 0x4c59fe228c5e3b70, 0xd136a27e57adcc78, 0x1383bdfd7c856712,
0xb1b096f5eae05f14, 0xde0df2f5f09b48c2, 0x4fbe190af4a0aff3, 0x404a9dcfa2f3132c,
0x440bd69ba7f0e941, 0x4112a4e869d3c9f1, 0x5a3afadadf27c0b2, 0xb1fd487973e49718,
0x1f091ac1ce68af60, 0x25cf30c9ccb135bb, 0x4535df22d73df4af, 0xb256dcc40f763679,
0xf67b98153b8e9a1a, 0x2e62156fc501d0e4, 0x72b0958c8568f329, 0xcf38352e91ee877c,
0x9efa70568358057f, 0x8eb1e0ddbf7cce1b, 0x6d3b1fe4f548ba5c, 0x41495bd8bb341615,
0xa65fe13cc97bc853, 0x62439e25392efbc5, 0x4ad5fdb7d43d0d15, 0x1b83166bd34d2769,
0x0ccef53fb6a986c3, 0x38f2a61ddc85d349, 0xedc61eb711c6072d, 0x7b68e2b92d2e4d28,
0xa0c5a4b1cdeba45c, 0xc9c968ccce86bb4c, 0xf35cca9fb837419e, 0x718359452490e96a,
0xa6b9968d80e3ed0a, 0x89de1801606ea608, 0x7d93ff455cc2ea7d, 0xe1693de6b307ea11,
0xdf362ef9ed73d130, 0xa5de2330f27f6ff8, 0x0e2f5c9c3b13d7f2, 0x80449279c65cfc5c,
0x64a79a1fc44289a0, 0x6560595e26b579a2, 0xa4a808b185f7c128, 0x17396ed3ea098d73,
0xb7ed276eb35ae0b8, 0x564718adddd8fbd3, 0xef296967d40b4583, 0x262396b76f5f644c,
0xfb22ab9fd0feccb6, 0x90a0e1c08ee0fa68, 0x41f7111a9becc78b, 0x4bc161a92f8a117c,
0x0d8e50bad529e8be, 0xc7f55ecebe2e13d6, 0x94c42b2186fb5ba0, 0x64a8fb924af7c62a,
0x75942bd9c47a69b1, 0x45d86924972ddad2, 0x83547a55c0c467bc, 0xe8d8dc0e1bc3c651,
0x7f3460368e1ad64b, 0x07b24f48518cb541, 0x521c349fb375424b, 0x5292a8f8264bf26d,
0x29f2133bd56a1710, 0x37e3ebcad4b16220, 0x1a57301801eba217, 0x6c77f1cd37b538dd,
0xa42259505043aeaa, 0xd7270b9351894d7f, 0x63b781e7e42923a2, 0x7dfaf8840228f6b7,
0x61dcf785709f5e3f, 0x873a4102953a2777, 0xae40b79bd103fffc, 0xe3b7ba0ab26310b9,
0x195f1396d39aff4f, 0x7c41298ae5d4355f, 0x46b4d307d48e7953, 0x2c0134482de25522,
0xb43da8f953be6915, 0x3e9dd2036d89341e, 0x4cc87b4af27e4ec1, 0x75d0db76a7ed5eeb,
0x9df1701f40009719, 0xfcea3623d01180b5, 0x399dece6854e75a0, 0x0522431059dd69f9,
0x2b1ffca63dbdb6c5, 0xeac6e1dbe353c735, 0xca61bc69e37f9c4a, 0xa01831c7ab5bf58f,
0x5bbda493fc993e50, 0xe3007acb4a6d352f, 0x13dbc2cc1fd724c0, 0xef73262aa33d8f90,
0x565b95d6c6b40fd3, 0x5dc876e3cd9754f7, 0x8f0e047406dfae20, 0x55e5121f21e9c3f9,
0xe0cb3653aecd6ee4, 0x00cc909cf73a984b, 0x4d80bd1eae46a736, 0x9b7c029eee32cbf8,
0xb02cd90913b8487f, 0x72743ba806b5b0b5, 0x07286b4b1cb6c3da, 0x943a5bac7bdb0ba6,
0xfc2598e864e7acaf, 0xe6563063d7c12123, 0xc4c625acffa95a37, 0x5819af45a0685275,
0x6fec595eabb64ea6, 0xcb34b837cd27ef8c, 0x791011e292a40e5d, 0xbc16d5943fe1a61d,
0xbc599cedfe3dba2f, 0x0df3a6fd38df2412, 0x569834ae6e3046db, 0x3fc46428416b08b6,
0xf329551a6da4e7ab, 0x452833bb8731d89c, 0x48fdafda082428d1, 0x7f6c1638e04e154b,
0x3ce8fdb5d1926d20, 0xcb2869d1e5de87d0, 0xb13be96625cbdc36, 0x360b06c432bee06e,
0xd6402441ea36f55c, 0x0de7b632b1b7c70a, 0x79144b010a12381e, 0x868c0d8c9e0cb274,
0xc684860efbb22d0f, 0xbbc60427ef6d296a, 0xbe65f1de4aad12db, 0x02855670cb7c83c6,
0x49d0b4a47d1bb24c, 0xf117b7a92665d597, 0x6de90bdf04543ac7, 0x65595bdd6faa67d8,
0x3f5720203378f263, 0x1a739498384b86ef, 0x0684f7b2b0967b8f, 0xd6e15c859611aefe,
0x3407665905fecc1a, 0x066ddf47b2789fd8, 0xb670d5d5cce56b3f, 0x883ec957316fd9b5,
0xaa0a4492592e173b, 0x53f41f7f29ac947a, 0xa118d464268a4845, 0xf63b0b5242e5bfd0,
0x1268f0876d50d3ea, 0x2ac4f9520ce3f3d1, 0x32145025c9c8da33, 0x28cfc4aebd45cf23,
0x964238de1f31605c, 0x361ad207ee7c32c0, 0x135045472c1be0bc, 0x17d3c78ae101a9e7,
0xfeea0ded84fe33b6, 0xeb9ecbd11a9e9896, 0x9842c91a51078d8f, 0x5e8a353b3da7e567,
0x9b7f21b72efe275a, 0x3f38f0472e3892c5, 0x8dfcfdd74564469f, 0xefd39d0ed9171e79,
0xc80c012dcc99e88c, 0xc10e9c55fff07496, 0xc601b9f44494916f, 0x52e6cc3ef6173f69,
0xfd97fe9ba2f183da, 0x4e5270f600037b81, 0xbea7b02cd9d4f958, 0xcd98e614be43d9b0,
0xfb12816c86131076, 0x21382f96bbb867ce, 0xd28ea5970c3bfb7e, 0xf32a92ebe79d7132,
0x338dc97cdbb6ed81, 0x3aada4613fb2cc7b, 0x96605d49dfa62ba3, 0xaeaed2410ef20d36,
0x44bb7dfac637c61e, 0x7b4dd0586e58e0db, 0x0e83a6c3eac7f526, 0x7ba75acd2ae8f6cb,
0xfbc4530ad38ecfbc, 0xa6d3cdf51656bdba, 0x5cd3e96cee8cb6cf, 0xc182ad53b196f315,
0x27fcbff52d71f5ff, 0x55ce6a5abd61df73, 0xd7f0cadf60014ca7, 0x2297c2086fe8b642,
0x6a5f1f16418dad54, 0x5c9714f72d215f25, 0xabdab8b3ba505f03, 0xf4f89266c51b6f3a,
0x99dc9d598c509f6c, 0x4ddf4bdfe6b236fa, 0xd26eaf393a07bd2a, 0x40e5c27cd072c49c,
0x8bd73a4bca41219e, 0x11a787c2bc1b4c4d, 0xa08161782bcafe1f, 0x188a5377287bb3c7,
0xe50b84098a490453, 0xd7d49ce0d2bc2b7e, 0xfb7a218d1234555c, 0x0a81bd1769058caa,
0x2af67cbeb59c7e42, 0xec15ccc03a35001b, 0x26ed94af73f3df30, 0x888fdc168701800c,
0xca7efe780148f689, 0xbacd5898d54daaa7, 0xc2e3b65616551198, 0x1d424ef36bc4a5c9,
0x81974c4d38e27566, 0x6f0d0a91274fcf64, 0x44ded70ed19963d0, 0x55ebe2e535a21c91,
0xd68514174a225c3b, 0x6fba9e0e080bdb2c, 0x56ec7bdaaf17539d, 0x6b982b145c41a56d,
0xfdf4a16d50d1604c, 0x5a3c3fef97c17968, 0x7e78dcebc3d1a9ea, 0xb3402a4fe7dc1521,
0xde3bcfe1f6a88d32, 0xe504e4b43ea13532, 0x27518379519e0f43, 0xba295cc50cff4b44,
0x958e3d05f21956ff, 0xf4666ae5c5421ff7, 0x8f51fbbaf8fbc1ca, 0x699f6371cc51e3af,
0x208eaa1b896cc758, 0x40a4d27bb49a4a45, 0xe509aaec4f570916, 0xa1add92316c872e9,
0x280092bee075ab3b, 0x706cb36ad58b7405, 0xaeeeb3e5059fda64, 0x636d6d71b548ca8c,
0xafd776d27b0958a0, 0x3c4ad3a65dcc785d, 0xd664e9dcc4e93847, 0x546e850f1c6b3bf5,
0x83acbe62b55ad789, 0xd5853f8222d22104, 0x2b009aad0d75905f, 0xc88e223b63e83406,
0x64459fd59600011f, 0xb05bf3ad705d8b92, 0xcc5f8c655da127cd, 0xddd328aa252c7181,
0xc49e18012b8ecb76, 0xcd4d592e8d58b944, 0x16604d9cfadd3511, 0x62b38dcc5f066b75,
0x99435fdbdeabd4e5, 0x16db9465a7a9f605, 0xaae1023e416d5966, 0xe49a9167391df0b5,
0xa1c3887b9257deca, 0x06751b5391cd13f0, 0xf83954f9e2ecaac9, 0x51764b2262c0d404,
0xb53b1489da49ec2f, 0x503483959ca1eaef, 0x0ab7f037a8798c65, 0xc941596e67310997,
0x2a2ea7d65e950f17, 0x0582a190a8bb84ae, 0xfca8d225fb88362d, 0xaf40046830e8518a,
0xdcfa77593505fbb6, 0xb421604e1336bce7, 0x448451e84fc65cce, 0x4041ce7b056b25aa,
0x14a6534b7cc74919, 0x2f91d4a9e462246d, 0x928d78c14997222a, 0x20108cdd35b41171,
0xd23395dd1662160d, 0x5958d3651fc0ef7b, 0x857c673ea63fd8b2, 0x6fd7528c3ac0abb7,
0x2080dde6118a10ca, 0x8dcb9171a942ae44, 0x10f7ab722592fccc, 0x6a67ef771154588f,
0xf0328663bcb0f6f0, 0xe17f2644bf5879e6, 0xa47bab498862a61b, 0x1c850170e66f96d8,
0x7aff13c20fa91597, 0xe7394ea5ab0b500a, 0x348dc7793493b9d7, 0x39185b41d4e7a358,
0xaf46c4e9d881095f, 0x3d823680804ced20, 0x92b9b0ab8ea29f20, 0xda47d1829d7668d5,
0xd1599c3f13af2b25, 0x808b109bd70ed006, 0x7ac11ef869343fc6, 0xfbcd6b17571571c6,
0xd0c0b92ddb002927, 0xc8817b03990aaaff, 0x2ada4417188674d1, 0xa05ad40022868353,
0xa52966d2928f67cd, 0x9b87d8042f9067cc, 0xea6b630987773514, 0xab030b812cb8f4c8,
0x6ebb15ba6d83dc68, 0xd2082096909efa60, 0xff9c89aba8c96073, 0x0786d99ab8b70d5e,
0x10fded6bb87bf992, 0x226bcd5cfbb3c848, 0xe6ccc5dd19484196, 0xb405740e63ef0d60,
0xb22849b22ff6a285, 0xd669b7c04da4f423, 0xb2c6505c5787988e, 0xe8b79abbbb858233,
0xeb54debc9afe99bc, 0xd68754476b34b63a, 0x443083341fc40d5c, 0xe1f7dc35f7a216a7,
0xac24e7d31570bef3, 0xb135a68dfe265e74, 0x5ffbd3deca3b3e74, 0x4c1b68a928b669bd,
0x3c2d9003d9816651, 0x4b9a26d8cc1ddaa5, 0x8a569b58675f8061, 0x7a952bb8274deea8,
0x7c1be4a1932a7ab9, 0x6cf4f6896e1ae35f, 0x22f21412bb9201f7, 0xb2c0fe56e3be263d,
0x44cf08fda88c8c35, 0xf48ba7cf0b79d648, 0x2a0403abe57f8515, 0xbc397d0def136411,
0x83bd3eee55b8bfcb, 0x140ce02c4f5670fd, 0x7d912b9bec2eed00, 0x0e190f06f12a7c30,
0xdaf8a900a7a98a3a, 0xa6956207566ce87e, 0x88691fb6410a5841, 0xdc8d4aa9ec1ea548,
0xd39e85d301fe6d97, 0x9c8419ae16bbc71f, 0xab7dcdc60d388a93, 0x4dc8f97604248d66,
0x7433cdebfe640c16, 0xafb69d95e8994424, 0xa2774b5f00c97aa9, 0x1d78fcaa5819e55e,
0x3a71649dbcd36a0e, 0xa8ed3835424ca467, 0x8ef5e8059487d851, 0x71a888792777cffc,
0x42238e163378543d, 0x9cfaab57036813ae, 0xfabbd8063379b8b4, 0x5ab7ed84195a537a,
0x0c98dd2e5c9a3c9d, 0x036ad63a02f931e0, 0x1a53a8926ae3fa5f, 0xefddad35f430f5a7,
0x7342366d5a15e3b2, 0xf7bb11f4c6286b35, 0x85c4d86c6ab9d775, 0x791319a190b4e90b,
0x27081da84e2fa544, 0x77ef0be4a10a3c7b, 0xd3bffa533968002a, 0x1befaaa33d4c7d63,
0x75acc0f01c95cc29, 0xb55299014149a9fe, 0x48d3cbfcac8b0478, 0x6927ba295eeceafe,
0x5362df06eb960c1b, 0xdc5e1ae76b7bdcef, 0xe4f0b1d708dcdeee, 0xe4f2159331b05e00,
0x93f928098af5ebdf, 0x94553e32eec78ed9, 0x9a15e822cc48b42e, 0xa0beead4d3d6ce02,
0x2422eebb7c19b2b2, 0x0ee6259f6b2de3ad, 0x6fcddf1b26bead94, 0xd9a0825484ade174,
0x751aa874089f4964, 0x0c6c2801b9d0703c, 0x62979b8de23bf3a9, 0xe11c80a8e4d78d45,
0x83c188c2cbff4ea9, 0x4eff922682ec26c8, 0x11bac6d25b281d7f, 0x60d606a90f1c53ec,
0xffe4048d78f0d8de, 0xd49c40147272a197, 0xf4dbe5f18e22f4d7, 0x1703be685ca08624,
0x7663a78c381f34db, 0x88a0709ec1add91a, 0x247e6d8027b93d9c, 0xa23b47fa9381a330,
0x08f1b30fa359bee6, 0xa550a3c144300385, 0xe769ca32443eb826, 0x36d8af4532aadd15,
0x915ca3f94a2da07e, 0x5d09f8f4888210c0, 0xb3ead867ebab8ec3, 0x87f30bc384e49041,
0x8f88cfc0f066eaa5, 0x82a8a43c5a02d4f5, 0x0ad45d7c823d359e, 0x83ca220fc6ce6e6b,
0x2cc135378e98f6f2, 0x9e6fe6a3ec72e91e, 0xd0f98eefaceade1f, 0x5f80b16d9c0f40bc,
0x50102d02b483dd00, 0x70263250cc89fdc1, 0x88baec9b8decd192, 0x2c5557d1004259c3,
0x99c710153fdc5d47, 0xf3ccd27585fe1aa4, 0x9d0c6386a3d802ae, 0x3aaf3266af0729b5,
0x1d509ce186cc80ea, 0x80cd61a91122327e, 0x58908698a4abc525, 0xb0e785e95b987aeb,
0xb91ebbf1dfd53347, 0xa36af62c0aac52e1, 0xa360736e08eb5472, 0x08f0f470aebb4472,
0x68d851e9c1cfde28, 0x88b56565fa1619a5, 0x2111319eb4dabff4, 0xe390aff741b113ce,
0x53a69f348c4d61aa, 0x899cb31a7814aeee, 0xfa9f4dd122fe2f58, 0x368151697d058f52,
0x4ed91d69b3196e71, 0xce31c9a4570ac75a, 0xb6b41a335fa8b35c, 0x0b09340c59ae4345,
0x82ebd25812c14e71, 0x482063a32f61418e, 0x68a3b1baedf8e148, 0x43636f2cd24e2ae0,
0xd0634b6db577e32c, 0xc365ec9cc73731d0, 0x6526d4b3e9d34a52, 0x49a54587a8525b5e,
0x6e9f036a54d3dfa8, 0x88ee0f139f953fb7, 0x787878701af37bca, 0x16c500c3ee39ed20,
0x179afb3fe1acd1a4, 0x7d38730623e0500e, 0xa045143f765624b2, 0x9052d2a14bd506c7,
0x721e3b9a685bda2e, 0x833dd53b0d1b7f4a, 0x93ea0720c26668f6, 0x8c991671001c4603,
0x011b756cbda56f63, 0x8ee9a9f3cd32a3c9, 0xa4582d06c3d0da4f, 0xe3f9b7502bd0b86c,
0x20820bdb3247ae1e, 0xc8c26c035eaba8c2, 0x4f46e323bc76626b, 0xee132e79f106e86b,
0x6448a694ecc318a7, 0xe3443138d617c6fb, 0x84890ac1807eb3d0, 0xd69bf2d7b38ea61f,
0xaa5856edc9e31a61, 0x81d5760d2e605c5e, 0x4d9dbb22d274f310, 0x7d39d5056698f828,
0x1aa90eee61c38f60, 0x056085098104a68a, 0x0cadf40ba2c2312e, 0xbac6656ff63258cb,
0xacd0e771c41d6729, 0x96a24375f6aaa1fc, 0x3038cb7e075a7f83, 0xab970b5da0ac867f,
0xc76d55eef495ccce, 0xc0dfc4c6b1861232, 0x814ae212bda82a65, 0x1ed19c1af1e46b04,
0x053dacbf58cc7b3b, 0xc3fadbe9ba704853, 0x26e912710435d118, 0x648062476983f040,
0x238041bc8aa1bad6, 0x020fdf0a1780e8b9, 0xb74aae4eb456813e, 0x11e4289c005472b1,
0xe15a400c6935a7af, 0xc5ac17434ac36548, 0xa90f9c905da686a1, 0x75e3f8bb5bd26776,
0x8d79c00064f39030, 0xccff9ee408c27523, 0x0b0614aadff25751, 0x9fa420604f7b360e,
0x609362db416b9623, 0x4968594c9b437401, 0xab2f4383a7c230a4, 0xc73024b6fd58b91a,
0x2c3aee006137e1dc, 0x164e956a94d1c2cb, 0x060b6ffdf864166c, 0xe376ac0c3b811715,
0x03c1bb39f23a92cd, 0x9f4a61cb6a8fb912, 0xde3958efb2424782, 0xf253766450e452a9,
0xa1478b6653ae55f1, 0x1a05267fc33a9448, 0x328006de4733c750, 0xd3e8a45e276e7efd,
0xfaf9a4ebaf777b59, 0x1c66a26848babbd7, 0x84fa35a85f704cd3, 0x3a6b1545e2cc56eb,
0xb1c16ae612cb283e, 0x840d882b1bfa9eb4, 0xc51aa8d583872502, 0x456a5977e3acc9f0,
0xb021d23bf3a2ea77, 0xfc480546f279a784, 0xe86d06b7a23a3bfa, 0x612e7eb71d96dfb4,
0x93d4aaab8c2cf2c2, 0xfc165ea58879ec8f, 0x15fe6cceed76dd67, 0x46081490fda876a4,
0xfd3d91f3e6ba2d4c, 0xaf7a5e5beb73ef56, 0xda9a339f21fcd01e, 0x6aac3daa36d4fca4,
0xdc357f40a2c144ba, 0x6630f8ab67b52802, 0x134162f37024d561, 0x500b82a18091ccee,
0x4dfadcbc733b5528, 0x9092d3db69d04552, 0xeccb389f5291a63a, 0xc261ab69d83e3bda,
0xe69b5249311b4f7f, 0x99a9a34582cbb473, 0xc29cd844a15fe400, 0x97e71b560d77a425,
0x0c1b231b57d9f201, 0x8ee5130e97542777, 0x7e9ce13e1d657b8e, 0xb3ff7ae4dc8dbd78,
0x8a44ef3c19e1c616, 0x3006f055dc2f7230, 0x1aec071abb5f9372, 0x52a1b15f49df5831,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0xfe0c0696af16ea60, 0x67e04e815aca19e5, 0x506e57de98503ade, 0x4982dee131f9309f,
0x70622bf624c3a9fd, 0x373aba1de3f256b4, 0x7c5e8e1d2586fb41, 0xf2a2d3d383553c98,
0xd72194082b8395ff, 0x0a2a747b61822e7b, 0x86dfbc1f6cee0e84, 0x54967faba65ff882,
0xc3c62a22c42b1af5, 0x67506e9d0801b684, 0x2e6f290d53f05c10, 0x39240cf81d08b6bf,
0x0a9d729277f7aa85, 0x2f5a9a374a41d036, 0x35737e7507542476, 0x14339c981e467701,
0x2a3dff199f5e5fd7, 0x8d34032b8f7bc7bf, 0xdd745bf0340cddc0, 0x2cb206e831b837e3,
0x956b8bff8eebf03a, 0x6dc4efb04d210bd1, 0x66599ddebee240cd, 0xe3bb7cb63df3562a,
0x7ebf2109fda12027, 0x4895bc04eb2981a1, 0xe10c3f08a0503d38, 0xba6173b6bdccf122,
0x666fb23e95b1190e, 0xc12cca9357c0f953, 0xdf2aa3d99cdb3821, 0x0af8422626850564,
0x744dca7fef5de19e, 0x65870b797db48569, 0x9a2bd6e0b607efcd, 0x77b4a295df0fbe90,
0x1e6b66b72b140c33, 0x26d224415fad3c7c, 0x40a028d359132838, 0xa83580bb2053c6ec,
0xcecaec85efcd1de2, 0xe4deab1d810d4c4a, 0xeda4173ee0aca18e, 0xec8f719d4a39ae8a,
0x9a194fa318b37662, 0x2b9fae9022158dfa, 0x002ee4e9841eac9b, 0x91088fc017298eb9,
0xd789b82ed1393a6d, 0x25c00ceac7b9cc74, 0xe983eeab217e7cc4, 0x21f9f830d35858ca,
0xfa4163d0fcecff6e, 0x5bcd213783de4890, 0xe1b47de54433efeb, 0x63b134b9c0f7625c,
0x2c65ff9f5f41d91c, 0x943d14762edc5d96, 0xc807eca0203b3b66, 0xc42707329a57157e,
0x52c918477e5bda41, 0x5baa32aa66a6ea8c, 0x056f3957820bf1f4, 0x45d8eb2627e5d2e6,
0xb13ba52280332544, 0xefeb08ca7bd150dd, 0x1b7bab22dcd8965a, 0xb739c7122c0eb041,
0x603542f73bb5a723, 0xc26c1ef66acd27f3, 0x01d89539a0254f10, 0xb37b39a0a93736e2,
0xc434b77d1aa789cb, 0x071bc9d76627a54e, 0xd6b093b50a1a7d3a, 0x4f640d96bebe32f0,
0xcc80ea0aec4fb721, 0x2f9b2e77b5999dc4, 0x8d0ecac074f06cdb, 0xe2f8bc656303fd87,
0x414f6108a5bfdc4b, 0x2045f401498d233f, 0x59c2b3ce689c83cf, 0x63764f4b5efd4f42,
0x016ecae6a3ee8d07, 0xea91c9ad87c17fd9, 0x5ed09ea73cc9b066, 0x4543c8cac5bd1bff,
0x00efb5805777b3a2, 0xe152cfec419e9cc6, 0x3b72b71796713ea9, 0xc5f1a8b85bffdeed,
0xdf7b719b3432b2da, 0xbec9b99071f6c9c4, 0x543ad0c354c21cc1, 0xcac5e9e1ba40e5f0,
0x5d18660e82ebb52b, 0x2923ff54a443a934, 0x29e9dccf094f1f17, 0x53f9506ae0e8722e,
0xbcdc48af90c65d0e, 0x70eb49ca8196864b, 0x299d6b2db0bed9fc, 0x9ff63417f21d4dbb,
0x41cc4df470e341fa, 0xadaf80b9072da0fe, 0x30380882cdff5a2d, 0x203a724ef2cf3d11,
0xf1b6247a39ce9b19, 0x5f5738a8a1d03e87, 0x90b0e16a84a5a6b0, 0x6a93d44f8801b84f,
0xedde095eaf3dac7e, 0xbdfd17c9fa86c480, 0x0dc54dbbfb346182, 0x489b77d9d2f1471a,
0x138a4d1a8c366226, 0x147b1c72102e0468, 0xaefe97255fea946c, 0xac66b96111baae83,
0x5d9f2078e454286e, 0x8f8e053574d650f5, 0x90d24265e998a42e, 0x8fb6390b553579e6,
0xc3696cfeded4005e, 0xab0b34410b7f035f, 0xac6c20c5436de821, 0x1ba147b95e0738e8,
0x324a13024109c931, 0x367b54cbf159471e, 0x9656390469b5e34b, 0x162b67fc16ed9e9a,
0x37bebe2e7bc7c3a3, 0x114afff4ce3025f6, 0xea5f04430b758140, 0x107475143357ba51,
0x6990c64e57aa3a34, 0x6b361d5a6b9a7e41, 0x36fd8ccaaebac07e, 0xd22dea4f43bb2e2b,
0x1fab5d8f2e7c460a, 0x90af3880cc57cabb, 0xef45bc4fed879ba0, 0x8dadaaecaf0b221a,
0x1359a307e82157e9, 0xcb61fc76e547369e, 0x077044b9ebb11201, 0x77e14e6957b4c579,
0xe5c903b01076455f, 0x531a64536a27c158, 0x047299b0bc695b21, 0x99a1225bc40063d5,
0x6d8aedb1447125ba, 0x59a58bb6a5e83ba1, 0xe949e803a53775c9, 0xafe45d48836dab4f,
0xe541e7b0f0aaf595, 0x33213d8443bd1143, 0xbe57d5655fc42d47, 0x0fca52426da3d296,
0x42a25d6900f13979, 0x700a881ff48b62bf, 0x53549cade71eee8a, 0xd1cad80c0fcab540,
0x1a28d60d63d8ea7b, 0xd93225138a1ceea8, 0x1f7a24a8f4c89093, 0xd43f17969e8ecbcf,
0xeaaabe2d593c7bca, 0x8362d51f678717f4, 0x94eb5ba74a8aad9c, 0x62e9c960ba5773df,
0x9361ffca9d5a565b, 0xf63b61944e4d9ddf, 0xebb6a8eca1f09ff2, 0xac2fef4ea59d792b,
0x978feede090b4c3c, 0xc74348511404a2d3, 0xea78c5381b123ffa, 0xe07ba98e73373de8,
0xf3fd19855ac4b090, 0xc9ea33fab40886dd, 0x033f76c4850f8cb6, 0x59ac9b2ef26ef1f1,
0xd62cb5bee4db5685, 0x096614019fabe137, 0x023affd0041a82ee, 0x862aa976d8492839,
0xc7d57c7c95974ff8, 0x063d7855b9c3490d, 0x7c5ae6afdd4e4e5d, 0xafdc17284d046195,
0xfe8e762126513944, 0x23418cc2b191f9dd, 0x305d322d13054598, 0x928e8bced326018c,
0x0e38481c20820c38, 0x507e8ea0362eb4d5, 0xf5ab717338b562d2, 0xfbedc27652c590cf,
0x1f86588785cb8c14, 0x4b722bcc82cc0750, 0xb8993e3ff6c28648, 0x4a2a4299a4b26e81,
0xb07ca4ada7046cec, 0xc3912167eb55e4b3, 0x6a14688e77e98af4, 0x8316ae85764ea338,
0x86063ac6cea03907, 0x0867b176232604fa, 0x32456e3111248d47, 0x995bd47cd007bda3,
0x9dfe41bf19cbab52, 0x4ea048d071fb4ecc, 0x8e451b99aaeb1962, 0xdebb87cf5792246c,
0x657c5602d5d25c08, 0xe5eaadce21d0950a, 0x2535cf0348ba1f3b, 0xe084c652c4087199,
0xc94b742108204a06, 0xc9d3d43ecd77f658, 0x11d611f60ce03ab2, 0x52cb41a05ec710b5,
0x37d1edc7593097e1, 0x734f6bf6f24917eb, 0x1b75851482767a06, 0x51d7f44a22d52d16,
0xc1bde8949b96ba7d, 0x5fe1818d8a80b7cd, 0x8bcbb20169333b26, 0x11f1f099bb28b15a,
0xeb78ae13f00d980a, 0x317bf57b15093687, 0xab79d9a29116da02, 0xe88a80db454e4902,
0xf4c6dbdb51eb0974, 0xb9de939f6000728a, 0xdb2c76550bf03d02, 0xdd02f4a481c24279,
0x4495fe97fed9b1fe, 0x86ba5c9931909c65, 0xacfb55b66b6384a1, 0x896791d0a7a867ec,
0xc4aa32f333b60dcf, 0x722f5f7cbb787c45, 0x1b8131da4436b955, 0x1c089511b522c565,
0xd5094aae96729ec4, 0x6a43885794ca9742, 0x1ac3296c092eb33f, 0x85458fe8c224ba7e,
0x173e27a1cb03219e, 0x19fe007729b89f54, 0x477ecc86c687dfc8, 0x738c5f9cf472d72d,
0x40e124e10f49431d, 0xfaed40385cb78a3f, 0xe8f00ea3670d99da, 0x6378917e3dc37f12,
0x429dc9197c616f03, 0xd26e8203d5a1aa49, 0xcd3cd57fbed18d2d, 0x4b116a91c46ef560,
0xcc8ac8337e2de47b, 0xdafa613df0716a55, 0x9b035859df238e4f, 0xe799c1a41cd4e632,
0x0c63141330d17ddf, 0xecdd13ef33a43ad0, 0xd99517e048cc7191, 0x3b56c619543c7012,
0x177609fa53833e7d, 0x2cb391c61566638c, 0x73daa4adf78e0bcd, 0xd36e6e6458a1d3e9,
0x77dcbc040605bb54, 0x354fe0358cd70c25, 0x6ecda5d3acc41b2f, 0xf9592022ce846a3d,
0x3657752289770572, 0xfdefd35b68a30d34, 0xf3b02449888c1a86, 0x0936006c73c13210,
0x212df8849a1933d1, 0x81406ee8542bf598, 0xd68d13d48e05c3bf, 0x9a0c6e5505b988d5,
0x2dd184de5977ef43, 0xf8fa939abbe611b9, 0x9ff27d64d4784752, 0xcfaea34b86ac2f52,
0x19b3af7140cfbcbe, 0x550c22ae24d277e4, 0x2e5d3d785b0afdef, 0xd45630eadd8a5fa8,
0x832e04eaba267614, 0x4105957c9d20029e, 0xac4bec67eed573a7, 0x629c6456d93e91a5,
0x17f56c680137c2d2, 0x915b27fcfd99ccf7, 0x7691bfba3d05abcc, 0x94c2ef3f0dd0c512,
0x1053e8087efeee7c, 0x91b9e6196919f5b4, 0xdc04db132ee1a10f, 0x0731207ab585b4c5,
0xa5878b0032944593, 0x0f23bbe0b483f2d5, 0x0e0abd6f1332efce, 0x2ddddf3a5ab1119a,
0x6e69540a9500e647, 0x962f6456902b9b8c, 0x69054b8c34f555b0, 0x9e31574a90c78d8d,
0xbe627136ff79a922, 0x4fe2dc09443071ba, 0x01a325e72c8a7ac5, 0x2ce819c80a79233f,
0x78d8789f30d5d0c3, 0xc916bffd5aee7cb1, 0xe91a792af49f55f7, 0xedef20ec6e3f1e9d,
0xacb01bc1dd4d4b34, 0x2627c73c78950bb2, 0x6cddddfbad727c78, 0x4533bec4100020b9,
0x4d74af2abfb1c4d6, 0x2a90095eb6de0fcb, 0xfa08a9149fb49ead, 0xd548b3fa0f65f7cc,
0x17f76d10fdfb2446, 0x4f6db589371230c5, 0x35fd96d0da4bb9ba, 0xe53616eb5bea577f,
0x0c26bb429cbe9955, 0xadee469a1819289f, 0x5fba77ffd2b926f3, 0x2b2974ae7f275565,
0x87152d4f145ef8f7, 0xc6d0ad47f3fde1b8, 0xb8621a333fbe6997, 0x1e70238096457ff8,
0x939034c45d644ce5, 0x95e9b3b26fc10a78, 0x29a62fdb70395689, 0x9b9f480ecde3061e,
0xb1c0125b53478f56, 0x714a8c3504b5d6cf, 0xd3124546314e9ab6, 0xe80291a7112762c5,
0xf7c0422f4b7466ff, 0xcd593c68d79ea308, 0xe99cdc3925f857c5, 0x92087b3bcf1cc288,
0xe14422c453945d9a, 0x79955436452e920b, 0x0db7ff75a64cbe10, 0x98969ba27fa4e17b,
0x48e6bd608c79d0ee, 0xc4c69bce1fb7c836, 0x374bd53f85919f2d, 0xcc3494698b17fc22,
0x83f4278fb35710d4, 0xf8abacdb77bf0a18, 0xb0c51de557728489, 0xe2659e5957ad2e83,
0x708b26e76e91e799, 0xe80fc50c3a6f0245, 0xbc01c0ff6f22f4f8, 0xe1eda51ad0290eb0,
0x0be4505db5e8d56e, 0x4b7d8a274d9475aa, 0x0e1df4606ba3f943, 0x8c743a37694180ca,
0x95079fd1ec2e10bd, 0xf2f2ca5db9bd2d39, 0x6b451a304bfc8dbb, 0x61c0a15a7d616855,
0x00dd985bb4f40e25, 0xecadc9ebd8890197, 0xd64d70a4f025a226, 0x2593844e4eae2383,
0xea3fe387aef67ba6, 0x452fc56796c54160, 0x365463a8c04539d8, 0x0a9fd0ff080b1ef4,
0xf0ef7f2b9f43a18d, 0xca41212f026ab8fc, 0x355684e7dffc4691, 0xaeb4eced4d208c1c,
0xdba01f95ea794bc1, 0x15babfe5995b3525, 0x41a6c9c5f0b7d1d3, 0xc58f9c7d59c3ddd5,
0x6a65ae80ee64947a, 0x4c23157fd1e283fd, 0x323549f40628033d, 0xef17418741dd2927,
0xfd30096a9607e30d, 0xefe59e4354e8bad7, 0xf84c3a07557eb186, 0xb4a411b0fb841e4e,
0xc3f28ef770e5ac4d, 0xb12f40696f8411d2, 0x6d53e23993b8a4a3, 0x84653b833df78b96,
0xd7abd89069755f14, 0x4d7838e0077a7809, 0xb6b20b74c0842371, 0x6374af05240b49ad,
0xaf45dc3f4a5cae62, 0x0454910a1a4e6c7b, 0x0cc531a42cc46f8d, 0x68e48ef638c20088,
0x3d333c89a510ae8f, 0x5fa18d5eeb5045c2, 0x25e2817614aed3d3, 0x9d1e548498f4b4b3,
0xbdf881a57a2fb458, 0x9709f0079b6375ad, 0x214563e52d0a2364, 0x513b821731adde18,
0xe0657230d1bd78b1, 0x7d24bd04f9b5def3, 0xb19cde2239faaedb, 0xf28703cb65ab1009,
0x12540e5681d57a15, 0xd2974fb7aa022b75, 0x3ef73adba37fc448, 0x6d6c71feaacc0948,
0x062bba6136cd4f70, 0xebbba420b6dcfbae, 0xd9e7d204862be4a7, 0x6825a3fec58ff5db,
0x4e0ba82cfb9fb6c9, 0x02f96a868aebbae3, 0x9cb467e2472d84dd, 0x9866166dc2c62970,
0xca2ff48598759b63, 0xc1767f6e6c1f2400, 0xa60cd34743c05674, 0xd1101c43e82d91e3,
0x06fbc95e3f24b934, 0xc8571d1769d79ddd, 0x7a48c74afe904ecb, 0x9910ad4f081413cf,
0x892fba786df4d3fc, 0x57f3edd3edc540e2, 0xc27603685713e10e, 0x8fe0aab3f28f3ba0,
0x14f453694c66c751, 0x80a0c9d4dba726a3, 0x046b37222f30a97e, 0xa7661709777b5ea6,
0x71edc593736e88fe, 0xd26d67c6cd5fe6e6, 0xfb4e127b67e5c5f0, 0xba4d18984f28af8a,
0x1c17dd1f9a942c93, 0x44c0be90c46994af, 0xd66f2b96ce390660, 0x26dc6df8911f91bb,
0x2764f42ebf2e167c, 0xa405053c256f6216, 0x823bc2b7abec3971, 0x3dd61660702c15e2,
0xaa0d3551c99b7df1, 0x060ae0da77d9e908, 0x24631f2a4dc507e5, 0xf4522a6ad69996f9,
0x91784be06318cfda, 0xab71c8a1da86ce2c, 0x35604568d285f9d1, 0x1b25b1f75beb25a6,
0x182fa1c7349178fb, 0xab69dd014a4385b3, 0x0ce77d5173e35147, 0xed6f6b9d66844d93,
0x1d53b577be90628b, 0xaa3588338e1f0430, 0x03468a18bc1c2745, 0x6181eca9396138cd,
0x589c73fe52ef21bb, 0xa5a8c3b6c72e36be, 0x6fd89cd44bc12fd8, 0xdd6fc86a5438c55d,
0x1d75c3f15f4182fd, 0x99a1f954a2b2556c, 0xbca5296415bec8af, 0x2b50e4a4b74959be,
0x4eb1aa8bcc66c4ec, 0xcfc8082b1c79fa84, 0xf2fb076c571ff104, 0x9f2dcfeaa40f88eb,
0xcc4f8ac80089e216, 0x619c09be6089adbf, 0x9159dd05b75d1ba9, 0xfb0bf317ca2d662d,
0xf0a8650a3c7cbe7f, 0x2e446ebb1cacfd05, 0x87249af16fc48312, 0xf38b302e163cab1a,
0x3fa3000cbc94061d, 0x8054e8821056f182, 0xe956a56868a855b4, 0xcd2c13108730a5c8,
0x99e43d6960d3bbdf, 0xef9848a17a6e8486, 0x5dc58dabee7ac7c3, 0x372393a414c1a497,
0xcebbe1301729d06a, 0x2d82486ccffb68c7, 0x508486894f1b735f, 0xb10e55f560398ca0,
0x0711aa19741156e9, 0x4148dafa30e5a84f, 0x86398a6aa5a8811d, 0xcaaef75a0e1588ee,
0x55b1c3bfac3642d2, 0xe7ca19336e472e9c, 0x575f36de0ff72504, 0x0ea430d32b430249,
0xc7ac9fcb03f51ee9, 0x9b21d2c0394e3600, 0xda8f3ea9cf822c97, 0xd758e8694b7a28ef,
0x0f0afac6e7a8f840, 0x788c9d587a294800, 0xcb9cfd2ea371f939, 0x4a4c82051e9bc24c,
0x55f291d37babb6f9, 0x9c56d1871ac83c35, 0xde0ef84a22d76c35, 0x99ecc1a6bfc1d241,
0x9576e0bcd7bc84e4, 0xe9d894b013802475, 0xb371b02ea7382c25, 0xc078413506d09428,
0x682d6b0c3f7f6ab3, 0x5fe30fd81c442baa, 0xbcdbdd8aa4afc6a6, 0xe12e92fe2b610969,
0x0d95365ebe905e4a, 0x582decf9aaa4a2a0, 0x09613d823822c216, 0x9f2e75dcbeff816a,
0x066beec86c0b252f, 0xe8b1c7c36f947916, 0xe972cb4c6a36f197, 0x9ff5bbbc0bcc4ba2,
0x532c9663f7a9d741, 0xdd614ddb81aa9985, 0xce53907af37525d0, 0xf41c4a87ca653248,
0x10c0380c0f9cd596, 0x2af623c7cf82ca22, 0x097c10728d0d4d4d, 0xe10c8575ed045d7c,
0x1725b39fff6934fe, 0xc4dca568230d8d57, 0xb62f747b80ab4eea, 0xcc726630f6338e42,
0x3fb197787da1705f, 0xe4ca65318a172fde, 0x86bbc89817212b28, 0xc0f0da1e1e8d2db7,
0x16b2bfd9d4ae4b3a, 0x51b1ac596f804c0e, 0xfe4f70ee06caef22, 0x863954bac19efe7b,
0xc8210e8b89f2a0c1, 0xb5fada191df32438, 0x2769ec6bc93037e6, 0x9b69d5000bf6e91d,
0x91ad5d84e67e8f83, 0x2a7b76c699823bec, 0x9f251f2402c8613b, 0x01eb0dab3ca9a765,
0x10defb0ed6f6a61c, 0x20547d3ae8d8f161, 0x209de984d3741c27, 0xf70df6615d11a6c6,
0x5c574943e8bd92f4, 0x678828e6bbd5b04a, 0xfbbbeda95325b573, 0x44b2dd2a5d4e8272,
0x705f0b479911259a, 0x775b1c34a3732e4d, 0x2a4d5ce696d861c5, 0xebf8945742dbbaad,
0x4e8fcd6c7afa3a22, 0xd1569ed2de95ed38, 0x092126729e703f8d, 0xc8a178da320d0930,
0x397a8eb8c272ddf9, 0x13b66902415dd6cc, 0x1955c9b1f51a8f81, 0x90b80b8022936e41,
0x28927478e543712e, 0x83a58f53faf8b9d3, 0x80357065146c0e51, 0xc99dd68c97975917,
0x8eaea0b78835389e, 0xe5083a63323150df, 0xbf08d905976b4976, 0x3fc6309b1092841a,
0xda0718f54d715ceb, 0xd6eebbd808b8cf40, 0x87fe5793183a6ddd, 0xcd71162f58f4be90,
0xbf1838ed40510a9a, 0x7fae6e7bd4feab24, 0x98d6ce71bd140761, 0x110724f62745cdd0,
0x88e9e8e1b3522865, 0x0dcc639a015cbd1a, 0x5d4b30549bda2077, 0xdc48930f94b63f33,
0xe2872bdc01f84efe, 0x222286d5c23d4321, 0x358e67a979d9ca7e, 0xc0887cb6d1c8a11a,
0x582e0875359cb353, 0x48bea9a53fe11c2a, 0xa09a11aaa167123c, 0xf47b7d58a013fc6f,
0x9b383a7e90d0d662, 0x20f5b0f910eb2bbc, 0x7deed4083e4f4eba, 0x6b4870849e7f292f,
0x6a1d957c7c08e6ed, 0x737ae55672417c64, 0x42d218e8433375e4, 0xca8febf1cbe0f3d1,
0xffbfc549366d89d2, 0xc70b8b88e6431522, 0x09d13a7fb8d6e63a, 0xa2135ca8b603555d,
0xaef2b5b11d1ca07e, 0x9f718178f04b005b, 0xec6a7b1ebc75de70, 0x0a1724943e035d3c,
0xef69900720b0f1aa, 0x070cc778bff41bd0, 0x9ec404ef6a026b89, 0x2542c310b30b8c65,
0x94da2bbb622edca5, 0xb3178aa93ecf9e7c, 0x95b8bcf3c2f44439, 0x3cda672a42117d9d,
0xd580d4ffecec500a, 0xe5bd43dc0e565dfb, 0x1675905804049488, 0x33af3666564f7a39,
0x0ba335bc84efaef0, 0x797025f44ba7dcdd, 0x8e80b3ad682b501f, 0x6ec0774045055669,
0x48fe08b9004b0a9d, 0x2704889588e7a8b4, 0x058f9fd38c8c2a51, 0x204f6619de89a7f0,
0xf719c254158b655b, 0x9e2527b7697ca746, 0x61f57f54717d67bf, 0xc8796acf55cd415f,
0xa6b25b685e370808, 0xa60ad5602cdd2aea, 0xdd7b16ff5d2517fd, 0x891648def546de90,
0x9d40ce3c2f88c23b, 0x907d685764c2a79f, 0x5a1f9d94b5f0ad75, 0xca6bc9b0f04e233c,
0xdef83a1f6e001b6b, 0xff0374579cf9cdc9, 0x37af4e09c3f84f96, 0x4d6cf2fe1bf4aa53,
0xb01be863d99f03ec, 0x542761d4d4c2c741, 0x60711f5c46fa16fe, 0x99dfa17f2f2a7fad,
0x6df2989376bc665b, 0x08caadb30cd74c7a, 0xc61018cd2bd8357e, 0xad024cb4c53d1afc,
0xca389d437c82a550, 0x34bc11507c6384f5, 0xa4a1299caa112381, 0xc148a9dd1e06a3f9,
0xe50b4421e7cfd8f5, 0xb27eb772f98b90f9, 0x73e663b3749888b3, 0x1879773525d4bd9e,
0x619e5a17fd2ae475, 0x907a2d2874db9bca, 0xea59efb9876f5e97, 0xc299b41c4690299f,
0x6b6a37deffda097c, 0x10d44f94e305813e, 0x2bfcc4adfcf6f59b, 0x4aff8b8609f59822,
0x53000ee16b2a5bba, 0xfa8dddc34439d1b1, 0xa613a2499ddbe560, 0x49e381006024435c,
0xb0e4ba1e77f2e40e, 0x23f7c4c13ca15860, 0x2d898324268d9a1c, 0x0d3e493be0516160,
0xbfaf2a45f441d2d9, 0x1d46df51386f06bd, 0x4c2ce95016ac6694, 0x11ce62ed7ed9a1d8,
0xfb31116ef5eb7133, 0xd02d61a61fb86f22, 0xe648a605f4aaef76, 0xe08d0ccb7d2420f3,
0x3cb4e2a2be26edaf, 0xdef5e29a52fd24c7, 0x33ed71ad0409a6e8, 0xa7b258b969a2fed4,
0x19df8c964ceafb8e, 0x1668074ba179b2b1, 0x18b3c4c10bb29521, 0x367b7bf64646d305,
0x549be257f7341976, 0x60c659a426894098, 0x3de9a8be140001f6, 0x23ceeb49dc4e5d4d,
0xf6e868b935340fae, 0x958519ed5ccb7b51, 0x389181f254fe31a4, 0x587caa6406fc57e8,
0x4611a55b4eea5840, 0x07367e67b93e9444, 0x2b57d6be24100066, 0xf0564fa8dccda22c,
0xbc9150b2a1a6c025, 0xe01f25d87cf3e3f6, 0x9e8b17c6d1a842b5, 0x73fd5f3e6a736099,
0xdfff4b25e1abcadc, 0xedc02567d1eb6211, 0xb49efb946baecc86, 0xf8489b079b35cc38,
0xe9998ba9a7b61c0a, 0x672369475fa2229e, 0x3040611b80ac9c43, 0x6b5bdd39a83fad83,
0x17a13ed4811330e4, 0x2db0ad34fc00f2d9, 0x88e07b0593d5214f, 0x5e3c7374b2913d99,
0xb8b49e8fb204b30b, 0x2b49f24e4cd04cb1, 0xc3bd42728c485b4a, 0xea92e5ac1e726457,
0xf8aa43da6555ede0, 0xd48b9155ef1d770f, 0xe7044669d7fe7433, 0x89f7565261094d6d,
0x75ca2a7e519f6a65, 0xe1932b7841d7cdae, 0x4330594b27c55fa9, 0xb10d94eb38453ce5,
0x6aca2a7c7fb40917, 0xf389389c0f51a349, 0x211f83fb6222e8ec, 0x3a8ecfd2f687b355,
0x581cb58bf30cc079, 0xbcec4c9f07c3b4eb, 0xb65ef4eb7e0793a0, 0xc64df68569179fcd,
0xf2f3cf12493109c6, 0x1a4e19ebbba5a836, 0x908603224b55857a, 0x1d86e50746224ec5,
0xbe172383597fd86f, 0xe039030e0483b39c, 0xe8e30869504dacce, 0x90ed50587c12c9cb,
0xe50b29211e960b80, 0xc444e3d39423d1b1, 0xb93a69d722fe2da4, 0x59537f1ea1a79ead,
0xf2b8b9cede84d785, 0x51b1616733d02516, 0xd83b507b297b29fb, 0x34dcc6f588c34344,
0xc1ed35d691c15731, 0x3f3ece2cc6316a11, 0x25eea38f418e6110, 0x48f674b98beddc36,
0x50985064e7173536, 0x13d7b40cd5a38241, 0x9ed88dab010060f4, 0x05c94a58262f2383,
0x26b3a6b83dc641ac, 0x10697e194e403002, 0x15c2f089cfa17ad0, 0x07792b166becf3a9,
0xa2175816a3ebabdf, 0x8e78b27cd1b0c8ec, 0x2f91f2daf873c29d, 0xef67aa282235d992,
0x971fe33ed94afc79, 0xbdf9b59ff40a5fad, 0xb3aeb47af9f06e7f, 0xa03750e7bf7d8913,
0x92c9de5a87ff4ffc, 0xf2ce1ea92135066a, 0xb70014b5f191a15a, 0xe1dd23ca96959073,
0xc46b9a2da21177c1, 0x2e5379dbd76bddff, 0x1083ce9c6f98e375, 0xf1ead0d11899ebc2,
0x0797299ae91aab4f, 0x187b8135a9126746, 0xde887667626991a2, 0xbcb9d76e1d7c42db,
0x03f5f29c8042961a, 0x68a0335e50ea834b, 0x50da9df53df1184b, 0x5e748f0221fffba3,
0xe5ad3db9b41b23e2, 0xe6b9cda13ba1121f, 0x50ef38a574132e0e, 0x1848e575096315dd,
0x405d51036a7f46ed, 0x41f5a58e9fe42312, 0x5c175d2d8310504a, 0xb27f8b2b4579227c,
0x5d62ecdfa14c886d, 0x9cc43f3dfb855832, 0xebd477fdd2576b33, 0x548639b35fc84e84,
0x4dfb075af385f77d, 0xd89f09fee64381bf, 0xede8d1cb54c09aaa, 0x3eeb5fa0cb52d24b,
0x14511ac77f2a4da5, 0xadffdd5ac1298cf6, 0x9788c0e098ceb2fe, 0xb5f75eb3eee49855,
0x8a583f4edda300b8, 0x7cc1423ffdb48c7e, 0xd49d092b237aeff5, 0x22cb521d5a86c2d1,
0x25e7ecc8b8eb93db, 0xd8624cb708d59967, 0x6c366db0e411ca9c, 0x1544cdb65879952f,
0x02ff3b20977b2908, 0x3d891e9856da4347, 0x5a223a272f6930ac, 0x9d023a3f995ee81b,
0x8c4bbbdcb81d0cf3, 0x703c26feaf2cfa7b, 0xb56bb404cc729853, 0x1670a13e755eaf3a,
0x3fbb39edac853e55, 0x15f448c1842aecf0, 0xd3af03502e6d6495, 0x46a15766b8480f43,
0xbfb3b461113f0e6e, 0xb11cc9e9939bffd6, 0x2ecd49c43e440de7, 0x7e088ff1e0496c29,
0x1b9131f71bb86cda, 0xd1290e39fd89ce3b, 0x8b0d123cb2896a50, 0x46981709eb850953,
0x1d9a8478d35191a9, 0x6296b525da70f443, 0x1924b949c32035c9, 0x9fa1c690653641bb,
0xc3e20f20a99c4418, 0x3a1ad7be82507001, 0xfcbe24756a6cf124, 0x6dc14cf96668e2ed,
0xa7849d04eaca6de5, 0x24c04ba701cdb49f, 0x06488d7fdfc00779, 0x9dc7e03065a80961,
0x296f1cc01b4fd5f8, 0xe0789f8dcd13e149, 0x1be70cab6119a011, 0x680ed3b4c15903ef,
0x8d6e1c7b6cbf21d2, 0x51cf5b7129bcda4d, 0x63e564eb2f9badda, 0xede14771c34cb479,
0x9f32a400489def0a, 0x54a9b968775d340d, 0x3d8f2cf5d3ef7569, 0x6d741ae17755e7e6,
0x6e130036accc50a4, 0xf321a97b144eedbb, 0x0b218d7c0b8432a2, 0xe27a7ed69125274f,
0xaba91ce3e2a384e2, 0x38206f6295227690, 0xe15f152f033688f4, 0xb0dcdfc18c077c27,
0x580de028edc38193, 0xd402986bf5d97812, 0x8df737e116f0e94a, 0x4a1882a9c2b9ccc5,
0x0841926aa17a1b66, 0xcc73275243da997a, 0xe1eb4e91682e8f16, 0xc2d234cc31b17b1e,
0x45050f6cf72e988f, 0x67cdccdf8787bcfc, 0x7a9917bb86dda5fd, 0xa6a1adfcc814a06b,
0x60254ec1069e3f33, 0x5d298d0572bb86a1, 0x38090c8f7031c173, 0xb3e22fd5e4b4d765,
0x79de384d42c3dbdc, 0x4c1363bbcb0890a1, 0x21ff97a3b636638e, 0x6b2649436e3541e9,
0x7d237c746fec0597, 0x6c2a8d4884eaccf6, 0x86c83237ad82ca8a, 0x2368b2fe8d391173,
0x231e32aaf842eb2d, 0x31863f6a4b21bae5, 0x85812a54cb34e40f, 0xb661d5a62457799f,
0xc41ccdd646284643, 0x40798887853ef30b, 0x77cf7e7006dee320, 0x8e3d2610342ce3cb,
0x9bae3aadc77e658e, 0xddacaaba30b0ad7b, 0xfbe7a0d86bde9f65, 0xe4c431fef5b404c5,
0xb0f1818fe5a28f91, 0x40ec268093b282bb, 0xbb9c3515d03aac33, 0x04284ce13ecbc32b,
0x3efafc8d7e4484b5, 0xb0e9ecf288696de4, 0x53dcbd8362f087ce, 0x95edd2039da74d09,
0xcd9841503a2de2b8, 0xca119235e1a48983, 0x648401a8ec010a46, 0x05d5833c6dd04e90,
0xfefba4ba1c26c16c, 0x6d902dc635fb73bd, 0xa749fa1f8e2fb704, 0x6090416c653f598c,
0x0a05fb7a436519a9, 0xdf438dad8157684b, 0x0392dd61c2a20633, 0xf7c3e258f979d38d,
0xf8b6f24641257716, 0xef1f38850e2d5b85, 0x6de223a51a95441b, 0x765ef525077b0165,
0x95cde52e4f032586, 0x030c84e39b53f3b6, 0x5d1e545a035e9d70, 0xdfcb7156afffce7e,
0x20034070a59ffeaa, 0x06b738a27b34fd50, 0x4557caa68154f25e, 0x9f2d101b4e2eb1f8,
0x63b48bd4859e9454, 0xb20daaec7761bdab, 0x665d913c3972257d, 0xbebe255fb2a63e15,
0x8d3379848a2e215f, 0xf13ed2c7d540743b, 0xaffe3edd26a1e251, 0xa134cf0aba0b3fc8,
0x9054715d3e1642d0, 0xf8eb4d5ad56fb1f7, 0x7088e87e86069439, 0xa854342b78191112,
0x3e62d3c4deb55ff0, 0xbdcc14007bbbdd71, 0x5c4c5f3c56f9a142, 0xf2dd3b23863e4165,
0x121cbea4a6c74e35, 0x1ba594fb84bdfb4a, 0x27d3c4b80fae40c5, 0x737ba6c92731ada2,
0xf758e56511a2fad2, 0x84e8e6c43f696ccd, 0xe64b3f8c716ed3ff, 0x97d2c89c8adc062b,
0xd8a9178b507c4f23, 0x9956ec6bc3732b67, 0xafca4e3f243529cd, 0xb4fbb09dbb1f8b8c,
0xed6235608561637d, 0x114cd6fc6e81b4f3, 0xf6995b871c66eeae, 0xc86b62d1bd820e63,
0xa27a44a27c7602b3, 0x98151c09c0f8f098, 0x525af701c07d5526, 0x845b3c52bdfd9ca5,
0xa4476a40e617c001, 0x59415a274f87e3bc, 0xed47390f56a18edf, 0x61f5a3fb5243ac97,
0x2577accf8281d599, 0x2c6e5c44b0f7e6c8, 0x5ea760e5a5417839, 0xf887685c2c51c30d,
0xebb973b68ba94904, 0xb53b96f406e7a845, 0x9c0141d9586f6708, 0x2372cb9566405dec,
0xbe81ffe007472e07, 0xd57485a42158db08, 0x246d6b0ba4de9542, 0xd52a3d1668cd6797,
0x599e0def72521bcb, 0x6f2015bee2c79930, 0x4e48ff8304aa99e4, 0x69abd4d6be31de5b,
0x6d0668d8cc862225, 0x2107e1c2dc41972e, 0x9064ead282b6143a, 0x9ac81f56f84948ee,
0xd271d2b576b851c0, 0xb9d6a648b575f305, 0x59e58b8c4faab3f7, 0xd79cf6148e06e2ed,
0x0adf890935d2ba7b, 0xb64f002019b56c9c, 0x13436b2427cb2138, 0x2deff3278cba08cd,
0x8776afc11c5fad02, 0xce45e560e3a630f3, 0xe12b4c7868d82f1e, 0x43ee809aafbdeb12,
0xe1338ad3b27d6ab0, 0x34501882c1b0050a, 0x5314d75ed582809a, 0x62e4c5ffcb21412c,
0x89d6e1548b84dfe9, 0xb834023527ef16a8, 0x513b6c4e4df76f7b, 0xeaeb9e75fd366691,
0x566eed9658604f35, 0x914fd437810a29f8, 0x42a6f2bad6e66fee, 0x273efa72614c7952,
0x2e7bcecd83f1887c, 0x47eb7d7fb7b62934, 0xa9354446b3ee8d5b, 0xbf31d548190626d3,
0x2917a36f65a9d8e5, 0x41b8ef2a4c475788, 0x4fcf91eb211c1199, 0x382fb895e69ef4e5,
0xa67c86bf1c09a04d, 0xac3bbe467eaee4ab, 0x4139efbf89cf3a72, 0x75a60bf927d1c5b7,
0x381ce3c10a587cdd, 0x4f9bd21f98deef12, 0x563f76d8f42f2720, 0x673c32bd844b692a,
0x71490248bbf44500, 0x64f8afe48b2982f3, 0xde55e33138790831, 0x7e44f567d3e9f792,
0x86c2b84b957c60c4, 0x50e677c6cfa66ca6, 0xdd1e35bd8c854702, 0xbd7cdc7082d2e585,
0xa4d115541e1ea5c5, 0xf9c42ba5eda4a6a8, 0x30b37b768a97b9df, 0xf188177d58ecadb9,
0x301b17f838820361, 0x8c920ac6e4982023, 0x28a32691eb5943c5, 0x6bfbc0421b50ea92,
0xfa58da76e40a06f6, 0xf6e5fefa4e87fe9e, 0x60b0fd07764de7dd, 0x06467bd66af100f9,
0x4dbd5de0c0cdecd1, 0xc198e0830ad7ace0, 0xb1d34a15dc21ca3b, 0x1fb46b463e9d501c,
0xf5b393f672a5be61, 0xb6fc615f0feca44e, 0x5fe8f4b11bfef636, 0x9c2f96f23a545699,
0x2125f827499f75c3, 0xfb5931977d316f73, 0x530e981579fa759d, 0xdd262499c729dd6f,
0x9406070586e7a739, 0x4733b0705c8f8934, 0x23083861eb42c82e, 0xf64194ffcd3a9e53,
0xb5afcf9ec729acbb, 0x4413284cd32070ab, 0xbe89a94ff7c3592d, 0x9afa2d341a40ae54,
0x3474e0cadd80ac72, 0x4796c588f37a8afd, 0x0f6a2a67df8d8aa2, 0x6f2133418347b5f3,
0x2d2160bb14e18e3f, 0x5a4a0ce529dd2232, 0x6bb38ac0c784b734, 0x3a02acab3e957bb3,
0x4b234a8d134b6568, 0xcb5409bcca78ed4d, 0xd1faf6bf0deff0d9, 0x8c5ef01d9ade5900,
0xc9a3df41ed9d66b0, 0xd5db7b7fdf41805b, 0x1f1a5e47acf60f23, 0x1a8d2b57e749930a,
0xf1dbd5bdac7e27c1, 0x3222b0ccde01e28a, 0x53a102755e01d5d7, 0x1e53a3daf7cf10aa,
0x4343a3f1c5988fa4, 0xf5f7af0b90941501, 0x433696e28b1c350f, 0x7f1a3c4a785924c6,
0xb8c83eccae0633b0, 0x5b9bfc7ef4fcc118, 0x6e920f33bd31d9eb, 0x181cc425c7f44999,
0xeea5b29b2a38f61e, 0x24e0d3f28a5faf99, 0x5a091873a0bf9a77, 0xd09865c8a2dfa6b2,
0x7d7e9b6484341bb2, 0xe438337be793b481, 0x4fbbad997f25e4c8, 0xaa0f6b2458eeefd0,
0xe371650aa4710886, 0x58e99145d5893423, 0x5ecb9f9b684fd9fc, 0x8f760b3ea4f028f5,
0x563d06c215f2c0b1, 0x791ef3d0fe50c649, 0x9365b9298ff52ee2, 0x41b3e25bfb189d6b,
0x53b1236f167bc5c1, 0xc1f82c0e18b02f40, 0xff093d103c613b8a, 0x4804668950b19b75,
0x283e23aa110361a9, 0x75e38ff473b0ec0f, 0x09bd491699e1d2a0, 0x710aa351654364ef,
0xd3c347e8793ff3fb, 0x011d3a5fe13e613c, 0xf9929f1f027a9b7d, 0xe2f1afb37deeb058,
0x2aecd9cfd3231c29, 0x391ddd36d82662db, 0x242892e112dca5f6, 0x540af1828f57d0b6,
0x1299c2a10000b3a5, 0xc1ae9b44078e7d73, 0x733d03c683dd93cb, 0x6e07e9d57f92f7a5,
0xb766b5823f7b35df, 0xbb8a7effc5da652c, 0x75adb16fce9b4681, 0xabeb12f915153942,
0x072a56daa586c243, 0xdf63b2bed4ddf894, 0xf69b450451b498b0, 0x7c3e2cc4ef5b482c,
0x2e31da92c8fb8181, 0x5d7e68fef025454f, 0x5e2a121cebdd4a4d, 0x20a6736e76af0645,
0x4d2077205687b67d, 0x863094ac6d96ef17, 0x2fee2b70e997d2db, 0xfeefc7b0f0a4940b,
0xdf5cf6486d5cff53, 0x18d1d6d4f209d95a, 0xdd66772fed6faa37, 0xfe884afab2e16386,
0xa4f9e17a824db151, 0x0809783e6502b913, 0xae679da17029a35d, 0x8528ad8bee4fa73d,
0x835f1699225943ab, 0x6be82fb1ea41cf46, 0xf72d79cd5ed44bc4, 0x2dbf179cb3e611d0,
0xd7c5d9779e177a27, 0xe52f2cd9785f4b8c, 0x25ca2880349ede53, 0x8f452e179c8414e0,
0x0ec1c02bdd5ea308, 0x8466e11593b6c17a, 0x664503515aded236, 0x94b3597a5b118fc8,
0xa7d9b75c85091291, 0x5478a0f732597115, 0x9e779746a30dff5d, 0x4d809f865fc1a5af,
0x8ed3dbd364c89be2, 0x2a91007e1742803a, 0xf5782f25dc4c625f, 0x1691dd122e1a954f,
0xfe4ca35636467544, 0x89faec0404649698, 0x2d59d0ad031d79df, 0xda28bab16fa6ccc0,
0x5abf25b177e9c7ed, 0xbb5675ac15df382b, 0x2613d5b6188613a7, 0xbf42ebfd48eea069,
0xc7efabd1e74c538c, 0xf7a061c898bfd88e, 0xa72c1ce1c66e5aea, 0x2b6e2523697f8a2a,
0xdc181e273a66976d, 0x67e1b8321596a4be, 0x47b610c557867d27, 0x9ed6d5c8b9d07005,
0xa00278b16aa9149d, 0x8291565e01274cee, 0xba3ae4ce261194d5, 0x42fb64756ca82d86,
0xadb3b525b9db1714, 0x7699f13a1ae2d3a5, 0x2f75f93326dda802, 0xa72f256466174d04,
0x2c027126765db09b, 0xfee8d1ccf8bf559c, 0xd0253579c028e1f8, 0xd0e772e313ba5ac7,
0xd61c86fb8cd5c05a, 0x0096b73167c79e44, 0x41bd740321d7d35d, 0xb3b9a269b45c46d4,
0x95f5d2321282b6d6, 0xfba42aa1a975079f, 0x7c6366ca83585cd2, 0x4d9257b6bead31d0,
0xa7eb3a8052e82c20, 0xa6bb242612e7f42d, 0x908156b5a1b3c0c2, 0x5ab963de9fa184e7,
0xa042c474c6cfc4b2, 0xfdfbbc40d0bba95d, 0x966f92fc17760083, 0x41ff0a1dc916ca85,
0x33091cc11d4703b4, 0x8ca400d729c16899, 0x845b6f162398443a, 0x2d7128d600fcd4e0,
0x0e3e02cb1a15f4cd, 0xf0c25d7990d3d2b5, 0x4348f79dcb3b8419, 0xbb4564b87c73320f,
0xbfa65673f34bd4cb, 0x586aacd9077bd2b7, 0x3d9aaadb6e2bbb39, 0x0ff223fd6a090454,
0xc2e8472ab94c538f, 0xac2b10428c1d774f, 0x11f150ebafbe0d6a, 0xeb22935171500230,
0xc4e00aaee7f32576, 0x5cfafa2a98e5bda4, 0xb7fb2ab020a5a893, 0x7d9ed6f8d176098a,
0x1c24a7ca529008d5, 0xee476b7a879049b3, 0xb3e7405a408c71e6, 0x1673786d415c6328,
0x4f218834bb1f36e8, 0x84cdca85e36c968d, 0xd53e60f48ed3a73d, 0x017c5ac42aa0ec2d,
0x128d9d616e5c1737, 0x96b1704c5c29f3f8, 0x96e84f79dd7c18a5, 0x42e244571b6d28f2,
0xb4866840e21da423, 0x37259f151e76c0ed, 0xa4a97f5cba8659fd, 0xd9249061631fddca,
0x086246d6a1440c16, 0xc04414b53d8ad38d, 0xe8bd28b67dbf837a, 0x76b6aeb42803e652,
0x6540ef7c8140449c, 0x60ac238e69602689, 0xb24cb4c71a76c46f, 0x3368407ce34d1926,
0x94124d68dc4921db, 0xf0a41f0f2fa7f999, 0xcfba95e1313f6630, 0x32477b6623841b1f,
0x17645fc84e8d3a8f, 0x30d31ea542f6a937, 0xcc070478e478cdc6, 0xe81f867d5e3d107d,
0xcdbe21d501785077, 0xbdf9cd3ed8c61668, 0xf2b33997a8e1b19f, 0x58f7e9161f113d6f,
0x085057db45cf73c7, 0xbcbb2a79cc8405f1, 0x4e9955adbeb8c49a, 0xa81b06483fe6ccae,
0xf72ee3ecdc41783e, 0xeadea722277d70a5, 0xf3cd15e86eb993df, 0x2a1bff1299088219,
0x70428b993edbd370, 0x95a4e4f141ddac15, 0x5339c037e664ba75, 0x64992443123898bc,
0x6b2c080e072fce92, 0x2d1a27214c304b14, 0x07dfdf091069a02c, 0x4dcaf67db789ac68,
0xca57c5c4c2df63d8, 0x7462afa8f769a6c1, 0xddf6949f1cc15270, 0x902f1a9dd127d5f1,
0x74f61e475a3783a3, 0xeae8e181e130c9d6, 0x523be69b82f4e501, 0x9c0cc4cbe6231dab,
0x085fe4c45e8abb81, 0x675f9816fe882ddc, 0x87a765215f129b90, 0x247b734b7c3e010c,
0xddd60bb0878c24b8, 0xff102dff480103c5, 0xa061b74fddd72001, 0x023a0c969420c32b,
0xaed5dca6f671b9a5, 0xf714cde311c80712, 0x49bdd42339e05038, 0x2b7ed3345f6e5932,
0xd2381ad568aacac0, 0x21bd606150fa7eb3, 0x2aa8d3953351fd2e, 0x9e386456e3cdb032,
0x0f501078a9395bed, 0x0e826621e4576abe, 0xcc599786ca6dcf98, 0x1276a79d5495f597,
0x398bb8493e2d9b79, 0x6def1dae77b76db1, 0x8fac7487743b24ab, 0x46947d61a1aefd1b,
0xccbd9756e9277f32, 0xeca045c555d198c3, 0x6570fe5e8b089c69, 0xec92694f50c2ec75,
0x4e49e3dc17b2275f, 0xc554b865ea361c5c, 0xd8e42c7f805f5704, 0xab89590f65dbf0c8,
0x4030825603646061, 0xabafe99b4c5f31f5, 0x6d30538b8c06c50d, 0xa4088aaec3c6f505,
0xf9eba4bbf02d3377, 0x8f05e855e5d1a504, 0x76d474bb9e965faa, 0x670c0c7d0fbeebc1,
0x1e2f078c86acdb4b, 0xc708f4ba42ce0455, 0x9e516db0703c60a0, 0xd9a4ec1bd7fb1a00,
0x3b7483a3caa5c287, 0xc2b6d5460575e31b, 0x17c167aa0fd6a584, 0x802d49e9a8bdd8d5,
0x73c6200b8a1a585a, 0x563ece8855c224a8, 0xeb0a0040edea7efb, 0xb2a2413d768d7d76,
0xa651f857c7cd14d1, 0xcdd0417468a3ae62, 0x0c1b4b5deb592abd, 0xd63feda402a0fbb3,
0x890a75599e60e79c, 0x2433fcdb19761a3f, 0x9623e6aa0fa6a035, 0x76d564e4ad912040,
0x99b49075b232797d, 0xfff7607e45372c4d, 0x6477c180dd6d8829, 0x0a0df16f8e506b61,
0xbe34bd6a4aa4ba00, 0x54b433d3962fc784, 0x940cdab5293df29c, 0xe8a7712823849dcf,
0xb610cf0d5e6e36e0, 0x68aa76b26d63d904, 0xb07b95118235ff17, 0xabbe72a41bbf6937,
0x4335102116de6c95, 0xf18468ad9fc60850, 0xbb109e4a6d63982a, 0xfbf576c7101c19a9,
0x48c645d2d42580fe, 0xe4fbf2c0003af10f, 0x7ab4d6fae3e17b06, 0x19fa6886e1906a40,
0x229074673a955a19, 0x5d308012b518b165, 0x67d153a6c5088361, 0x98bad801cce60366,
0xb45e9247bb364c29, 0x29dbb367a543427d, 0x02332528d45694fc, 0xdaa97eec6762a0ea,
0xc685c6a545998461, 0xc14af1a65b000a5c, 0xfbc934ac98f97b8a, 0x98988099d629a7d5,
0x0f35cc4f16125948, 0x3e96c4eecb45828b, 0xd3776b91c76f5733, 0x4e8e260f4c5e38b2,
0x58ee23fed9b1baf5, 0x9c484fa82ae4c4db, 0xaf8c61dbcc295939, 0xa3712e0577317725,
0x053d7a7aa60c88f0, 0xb6685f17bf9d3a8f, 0x4bf16f93e649a772, 0xc2045f3a9c720932,
0x65f05cc39d831146, 0x976134fde4337450, 0x4e2ba081b7e50f42, 0x8e5320c951916a0c,
0xf71cabc3b97534de, 0xf108ba882e62277f, 0xa3276d81cf830d0a, 0x492ad5c08177ce90,
0x5dc6863f5b4ca83d, 0xacb7154e38190d42, 0xe688889b2244c780, 0xbf5f200b255aa3e8,
0xf7b2d764a44b4b29, 0x3ba21e3c0fb76665, 0x92f2c8502a368540, 0x670e239fedbae5f4,
0x138d8794bb2ca459, 0x7e4d1bce72c28b01, 0x2668de28d037cffe, 0x1d1ee3819c7a30ec,
0x33c38d38e7dfea3f, 0xbb0972c93799a8ff, 0x6f5446a6ee33af8a, 0x532bec51fd252b1a,
0x9b366b5cf86dcd33, 0x908d470754de3d9f, 0x8ab904a52cab7663, 0xd038ac05220b1b14,
0xb5ac4321bc5d24ff, 0x9f92f41e6ca0ecf6, 0x9e7d7bf762790456, 0x45f423a19152927a,
0xd681f8e0c1b1e681, 0x6ffe25c099487c8d, 0x9f1c31f8d4b7352b, 0x2362078c1f65c57a,
0x3936cc72ce47aa77, 0x6c933ffcad73be3e, 0x37ed509053bcfe0e, 0x3c9076fdab33279c,
0x065f743fdc22d071, 0x0d7e85751de9d8d1, 0x280c10b433277fb6, 0x4ddf26c8f1049f57,
0x5f25cfeeaa3eaf51, 0x4cf4ec3be1c93924, 0x4dcffc17c3ea2177, 0x20b02b1b26328e57,
0x3646e9de6bc8ad25, 0x786eae906e01fa14, 0x77d72c30daed2b39, 0x974cd08716b770d7,
0x3c1e6f872fe81c53, 0xbb7f1deaeb43ec79, 0x624b80a122cf6839, 0x49d210183ad3ccfc,
0x6aabd6e98fc434ca, 0xb36aba7a255bb1d3, 0x9732f2cc61a8ae3e, 0xfcc68c2adaff8706,
0x1edc8ba4898cb7d1, 0xb5ac15cb166e790a, 0x3351915a051ff1cb, 0x97bcc2f3d801fb2e,
0x1f5c168df0422395, 0x4cf59e3ba5871480, 0x8c4be52d16de5f1e, 0xdfc3b0c36d609a1e,
0xe4da2162b0e595f5, 0x5911f0cb5855085e, 0xd00fca7a498bbbe6, 0x58b3d3c2dcb3c6cb,
0x13eadbb24291aee4, 0xf3c461a0c662f645, 0x7d2350b72d61df99, 0xf8d63b1d105c7988,
0x7af7b87dfe9d02f6, 0xb5180fd00f01a679, 0xb4d5bca520722f7c, 0x12b6c0b6dcd7b46e,
0x5eab7bd1edbd5bf1, 0x9b18f206a7f573ee, 0x205d2eb585299908, 0x8b64f5099613105b,
0xbe74c37875789ff6, 0x92f4c22b04d84c0c, 0xbfe400743d558510, 0x5ece784a4cc21c13,
0x49e7322371157e61, 0x3e17e47ba80f660d, 0x12e61375f5752dea, 0x9e506f23cc1f4041,
0x066a4a3a44f86424, 0x0a60b5c5eea42566, 0x5af39fa11e5ea0b2, 0x2c6f192ffbd29655,
0xc269ddfbe928fcfc, 0x3a96639475a4d2f1, 0xbe2a7b982ee497cb, 0xc074ec700915e3f7,
0x4d4d450f0260f53f, 0xb6a9c3ca5dd3d39c, 0xbfb5b9ad60102e0f, 0xe386084cddc8eadb,
0xe295019000245b4d, 0xfaa02e40ea95b332, 0xe5531beb1d40e432, 0x7ee078e1d15fa02b,
0x015ec6e38c87a50c, 0x954c764681f7a062, 0xaf3c0df0e81f99b3, 0xec80287c9170b38a,
0x1f5538b9575ad5a9, 0x686db1e4e6aafd36, 0x81c85254fdf4d70b, 0xd3f7562a75c1b114,
0x8e3aeda89da24bbb, 0x9bd4927db732583a, 0x47f96c3749de4cb6, 0xf557ec01beac7dc1,
0x89cfff6753e1e71a, 0xcafd46092c7c7a00, 0xbda8d2955d7cdc75, 0xdc658d8ac71ae85a,
0xf6222763ad444d80, 0x31b3cba10565a282, 0x9471954e8cf3d8fd, 0x9d1d2294213e82c0,
0xe264caf5902b3520, 0xd3e384827ab1d8f0, 0x22c1cdb484029f4f, 0x53b07c637068ff4d,
0xf3e2ec54670d8169, 0x1367dec986477371, 0x85a80e8a06169dbb, 0x352b67b9e7248fa0,
0x41c771850ac6f24c, 0x96a5f41163640ce6, 0x583e94313b442f2d, 0x9119db28bd0c1256,
0x5e7ebd232265fefb, 0xa5b6b6cd9b3ed589, 0x381a000f59ed6ea2, 0x08c63eb903e0ef04,
0x52528e0def72dec3, 0x235fa0594c0175fb, 0x443473747d16d6ba, 0xe6ba1816f4e81d71,
0xc52c269b9df759cb, 0x1a42cc36fce01a2d, 0x3201ec0a611c7f9e, 0x5835848cf56d69a1,
0x46e7ad4a20a895a6, 0xe7b9943c13a52892, 0x3d2ddb9e8f898c46, 0x90b2467bcfea2c1a,
0x245c12c39fe5b875, 0x1912f655d8c7f863, 0x713fb253035e6aa7, 0xe93d48b13d7db94f,
0x2714ab912028dbb7, 0x57058dada56592e1, 0x7904f129190d0c0b, 0x4c77c4691629737e,
0x11d89ab172ea1d24, 0x752fc3d0c468b9bb, 0x172a94f1862c7721, 0x95125e1fd0b16e01,
0x4d548681bca4cf31, 0x9a1eeffb6e413e59, 0xbfb83e42ddc1ee03, 0xd1cfc5549279e631,
0x5cfc8e12b5f0da52, 0x70899ec9bdbc7182, 0x0020e1a5e4687184, 0x6029b4bdee4ebe7b,
0xae3c575f3d00f559, 0xf9ff6baeca1f92a7, 0x9846f96e736b2582, 0x12407dd9fd565e76,
0x44ae6dc391154dce, 0x24cfb39f74f62354, 0x423eb39c4ee9507a, 0x525b8648273d5da6,
0x08c6206cea681dba, 0xc3e38cfa154d3c0b, 0xa2e955c843079d20, 0xde17c095d95633ed,
0xc3577cd7aeb59135, 0xfff2f1695ae3d076, 0x57da54c4bb73c6b5, 0x4620dadbf64c2728,
0x9b63ef766d514b98, 0xe5947230656808af, 0x0c4611a8d4595383, 0xde8fe2c3c54ae7fd,
0x6b251ef515cc66df, 0x4cad0638e91e9fbc, 0x262c2460e8d8f845, 0x831cecbf8f62df38,
0x2378082b1ae861c7, 0xe84685174ae5e3c0, 0x1f05368123d194bc, 0xc6be55029b5c5214,
0xa68ee1bd0028df68, 0x1bdf8086e0945a96, 0xbef6757f8747a107, 0x4c6b7675e8f464db,
0x2529f40830adb2ef, 0x26feb8baac572e33, 0xbe68e6e7a339a7eb, 0x9c9e72b363d369a8,
0xce8f7c5c3d2d525f, 0x731cddca25ce4433, 0x3360076f92182ec4, 0x337c968ea1de4f95,
0x3f2f097842ed09c1, 0x93b0f8e164c795b8, 0x15e3e9e28de26ab8, 0xc47c402a0a693551,
0xb1790c3f2919727d, 0x7127d8ad1970833e, 0xa5bf2e0ef6cb99cd, 0x28a42c14e20f90ce,
0x4c3d83e5575b8890, 0x50bd3ec7e130a39c, 0x1db891777191da03, 0xf82e3d7fb9265f1a,
0x8702324f34b7b4e3, 0x1a3e56bbc85bbe5e, 0xa6584b86d64a190a, 0x952c8aba7e6dbaff,
0x4f6c77460278d46f, 0xf35ee7d808cd80f3, 0x3d41cab38258bb70, 0x9632d8b60b8f8a52,
0xc687417308791655, 0x7b8518d529a5f7e0, 0x088ab1c978ac7c1f, 0xaf2d05ec2ca77731,
0x324c49e681c84a00, 0xabb5f914edcf5258, 0x82e56965e67cd033, 0xe08c44305853a661,
0x58e301fb2ed803d0, 0x12b1726dc24e932c, 0xd3e9d4ce5895615d, 0x5a0aef1e9fd7a325,
0x0404595bee9e3392, 0x1a705bf411f63ced, 0x9c41dd9d43e92ecf, 0x3e964aaa9e83c657,
0xdde2974aeefdd469, 0x45e6aeb86aabfdc3, 0xaf810fbf17329e40, 0x0cd9861f2f803dda,
0xd7e6b5cc4a44a6ac, 0x354c739599ca2989, 0x51dd45c3b7438f45, 0xc18252f61c6e1295,
0x8f9ed53c0d66a319, 0x641db9fa4aaf3d8e, 0xe3c8e64b4773a518, 0x300f3c820aec5ab8,
0x3f626c8ade367348, 0xb57b459f87b35fe0, 0x3c55c637f5cf6da0, 0x88ede31e766015c1,
0x706c31ab43e05f78, 0x57ef70ec3c6f0342, 0x9c3d2061322a9ddb, 0x5d793c8f81b071b7,
0x753c1350a7b85828, 0x5c28dc7a5be38a29, 0x699beb979af1546a, 0x53a76100107b079e,
0x9445880c8dc3fbfb, 0xabfcca75384f2bac, 0xb119a0494642b8e8, 0x44aa6fb866e65497,
0x5d1761d932fbff43, 0x362f71284b71e7e7, 0x5b3351ce6dbed3ed, 0x8fed7aff2664b9e5,
0xe5faf83dcb1648b9, 0xb55a8bba8ea4e7da, 0xb24005c2b13830ab, 0x36c14e55285b1feb,
0x87b05f29e74e9990, 0x6b60856392a33d96, 0xce8f177cf9751c8c, 0x8d8ba4626308e8e9,
0xfa6f947d5f0ff81c, 0x98b564d86cfdaf40, 0xcfc2c17c700b294e, 0xeaafd1c9c9ef2bc7,
0x0d951c41490af34d, 0xa6709f1abb95f676, 0x4015a6ec249ee4a7, 0xe6889aa48db8d43e,
0xedaef60e34a7521f, 0x8ebe5259d1a1a3eb, 0x2b440b6f8feb74bb, 0xe0aace7c555fbba6,
0x3089afd561c53c27, 0x64d363bd2f4298ec, 0xe99fa96b6fe1fd02, 0x9ce8ed7559210412,
0x6c491230ca6e8547, 0x4652f83544ee70ac, 0xff646a622f77c3a7, 0x7708b53e3b239292,
0xd4634354abb0f9af, 0x9ceaca26df6b9e8e, 0x85849c997cb431df, 0x483cce1b12db34c8,
0xed56d12ad5112b79, 0x0d632aadcbbdf80e, 0x70edd711a33737da, 0xacbed8d424da0b52,
0x211c0f59d2a879b3, 0x5970039203d5bf4f, 0x2aae7111b77aa919, 0x9f80cac3a40ebd61,
0xadbc1ce2247261d3, 0x8002bde45fedc0d9, 0xbfd89769234c93d2, 0x2c698508b011c283,
0x64c425a3b8023a58, 0xd6969d1c52da2a18, 0x70071b8522e0ca4e, 0x21870ac7175596ab,
0xae89ca1f5ab6c092, 0xde0ced8f36a0f775, 0xbb6f308f9560bc9d, 0x7e980ead1f356832,
0xfb6a447607a48d9b, 0xf8a0a1d2fc93acb9, 0x29896860bc83649d, 0xf2f155d09e48d512,
0x36bfa958899afce7, 0x9d942fcc07a357b1, 0x94a0f459a2ab1a3d, 0x983ad53f8ab2d697,
0x944e1ef67c75ac44, 0x836511af3e8ec5f6, 0x109d60cb24c301e9, 0xd1bc77688552287d,
0xef4806a963941d4d, 0xbfedef941f736b5f, 0x0f91c97aed0f516f, 0xeee2cc0923c1f8cc,
0x11843c9bd04a416c, 0x92d93d228508268d, 0x0b23a136dc386510, 0xcce870b2746153b7,
0xb7c72bd49225fde1, 0xbaf5cd7fce0bb71e, 0x686ee19c531ecae9, 0x023dbc7831f4d544,
0xa228c96d7b84736a, 0x677b06ffce47f427, 0xba412c4fc41b8722, 0x29c9ae86dea73624,
0x6bc740b124c6172e, 0xfcebb2f4192631f9, 0x32600c5babac82d7, 0xeff09ceca6aec448,
0x3e7eb96580ed6e7d, 0xd9ef4fa3f2d78ca1, 0xb2320e022ef15db4, 0x69909645bb63b367,
0xd8797201cc82acf2, 0xdfc629abf4bb0665, 0x88cafab34337abf9, 0x32d40784db22a3bd,
0x9991f92ea80cafb1, 0xfcd3ab39dec48eb2, 0x881722b0f377788e, 0xa26e7ba7277ab096,
0xb6984d0d4977db60, 0x5358d5e4bae2f7f2, 0xce309fdf70b72b3b, 0x195368e486236134,
0xe61181c4c4f8dbb4, 0x93f6a0fba39d6134, 0x548c41e10f7959ed, 0xf2005a32db4d51d4,
0x5bced3a3f031f115, 0x858bd172800e82e2, 0x616a97f3100952d2, 0x37c4914b8f8c9816,
0x25455093ecbac731, 0x8baa5f5ee6bad42b, 0xfb1111ef59a11155, 0x1e50a81b18d6e0db,
0x3d94ad28d3ef76e8, 0x866c224e7ec0f20f, 0x6be1e112b02a461b, 0x312083b8773f0cd4,
0x99160c2c025b1140, 0xa481d53db41e5067, 0xaffdc1e5ca2a8ed2, 0x2158d3e80bad63cd,
0xa94ab90317f52729, 0x294be56a2562de0d, 0xeb5516d9e85bf365, 0x478fe9449186883c,
0xcd20fef03d63ed26, 0x36c9658b5335bbe1, 0x391391658524c7c1, 0x5b4320917f183400,
0x0f4b45615188af4f, 0xfe285dc241fb5e16, 0x643853c70a444ca1, 0xd514594cb07a64ee,
0x51148edbb32677f5, 0x1c37c06e46cfa878, 0x0e3b7aec6871af79, 0xf0de443677f5e615,
0xd5fe161abfea10c5, 0x367a305e5517deae, 0xa74f080cf2ed2671, 0x6f409e1bce6ce74e,
0x733d12e80cbfa881, 0x8037584f75c3236c, 0xda33e89721b59ee4, 0x56e3f8e837cebf5f,
0x301901062fa5b975, 0x898698745490101b, 0x885a0d1841454c11, 0xe1c0c3f9f82e76c9,
0xaa3020c67cf175c0, 0xbf27c1fba255a0a9, 0x7ac04064ff19f5e6, 0x6390cd0e43c7f470,
0xe13e495aa7e6537b, 0x04ebfa43f7b5823c, 0x2f61bb8db7b59a4b, 0xaa72ec30b87dde00,
0x24fe5e0cf95ea9c9, 0x592c46275780e21e, 0xe11fdcb30c62926b, 0x33143106d3907c9d,
0x6294933ea07a23e5, 0x8a7f9b869d3b10fb, 0x7f1b2320b3a2be3e, 0xaebe58151afd9ad4,
0x62984d47040d26fd, 0x4c92360e2c216f09, 0x19bc360b2f1a84f2, 0x3297c0ce0af56744,
0x811f05d424c0a63e, 0x29da07bcde62643d, 0x736cc751de1b43a3, 0xc2ec878ff2a49f33,
0x452ad8b66741c79b, 0xd0ae9d941a26cd7b, 0x8fddbb4473334631, 0x9ec7a45e5982a62d,
0xb388e4222c02f4ff, 0xaec63a9998e91bc4, 0x1d78f06ab0c9ea18, 0x6cd2c23c240b0c3f,
0x61800c3b7deb062d, 0x3ce1de65404f195a, 0x488a6fb78b1072d3, 0xb003e57cef41900a,
0x4e34991f8191ae05, 0x0582ea81d4b2d22a, 0x50f78bd18a906d4b, 0x122ce4c3b0441147,
0xab8c61866f80578a, 0xee116fa2d21d8e2a, 0x03071fe3e82f599f, 0xfdc6933a55a87d3d,
0xc9acb0abb2e7d0bd, 0x4636a992c998e1ea, 0xae898d265827c59f, 0x9f6519ed066fe521,
0xefefe34740949480, 0x56b4645b10fb7c8e, 0xaf6915f671870880, 0x283ea1ee03a6e196,
0x9d94184b6d405bcb, 0x49cba7cb18fd46e7, 0xac64e174161b3d18, 0xf15fe69ce485fd91,
0x58a921f1a5ac2f88, 0xc710a1605f42e22a, 0xfde897f12c363fb1, 0x8c6a24ebd99f2bce,
0xc720ab6a87f510d8, 0xbc203725dbda6a1f, 0xe889bc8ca0c5ac91, 0x52609ff83f8ecb71,
0xde2724b0a84350f8, 0x220e60cf09b880bb, 0x5c57818f6ed7cfc9, 0xd7b4b48a586e4c70,
0x2756effa2cf67530, 0x5724337f1629c10b, 0xddd4192046a39a64, 0xa2d065d29210fe58,
0xdf96720706f727c9, 0xfc27a49e1076eb6c, 0x7c508eebd0c55cf2, 0xe20720a7ddcb83ed,
0x910631cf6fcf4315, 0xddfe59cbd0f9c089, 0xa9d794a4eec973bf, 0xfe0354f82ca31fa8,
0x132ce3b1d394f27e, 0x3b5590cdf656ae93, 0xb6da438100c3d7bd, 0xb26093950a48b436,
0xc467bf890877866b, 0x008ba522d26edd2f, 0xabeee5b109332fd0, 0xbd7d3d60070e79e5,
0x71cd7d1dc4cc8501, 0xfba071f129b52df4, 0x6c8d2789fc6733db, 0xef2952dd6cf59d8d,
0x4b1dfb9e62c87e20, 0x78bc1911e5f0caec, 0x0fa5b0ab7e98da31, 0xac30980805f1a0f5,
0x507f338eed25c6ba, 0x068f2e9acbb91839, 0x424a884edb364c9a, 0x43d9b67230917af0,
0x4cb315ab287fcd88, 0x7046b76cc408dfe5, 0x9ae2e6170f496aeb, 0x7706980c747efa87,
0xc140746d8b3daa6f, 0x1beb17c43e5fe37c, 0x9dd84f4d82fbe635, 0x20556f2415762b2a,
0xb4a5c0c5fcb6e55d, 0x99ba9e7e139fb6da, 0x6298c14758daddbb, 0x8a0a3701d20b2c7b,
0x086ee5c9a5065444, 0x3adbacedc5f2cbf0, 0x07cec280dca0f2e4, 0x6ac9dfed4154c0a2,
0xa400eb033937d6c4, 0x28760b2d8b70eb37, 0xad3029a986fa934f, 0xfef995836953e63d,
0x6387859173112617, 0xe8ac784be4a1b060, 0x97fb07f070c990d2, 0xe32354a3c65a4a51,
0x44e1d9d0d273799f, 0x76374da83dc5ca52, 0x0569bcf76aab451a, 0x5d1325b97640a6c4,
0x886fe2490ffea79c, 0xe35142a2be158d9a, 0xaff4035022511e91, 0x74299b2ef9daa1c8,
0x73683a82ea962377, 0x754fba24c083a599, 0xfe58cb20af5335ef, 0xa8d0b1e85e5aef13,
0xefbafcd215beb37a, 0x95bb254371b878b1, 0xe5eba9776bd3b9dd, 0x01ec959c32e353c7,
0xbe6f1ef9b1702e7f, 0x8ee4837082d99ed3, 0x232ace301944e61a, 0xb1241110683b1408,
0x492c5b8af3eeb207, 0x4eb64aeba3b84739, 0xe77d6c6b50562cd6, 0xc7a6de9d0e95ff22,
0x7abd08dcf3282ecf, 0xcf02e760005404e0, 0x04f1766827885b8e, 0x8aceb343d9742645,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0xc8262abd3b39b9b1, 0xe60bf00edca1e6b3, 0xed4adb11f343aaa6, 0x05e490af8b3900d4,
0x3a810102329192d7, 0x30b80e9ef889205d, 0xb975451dbdcac43c, 0x193fadade2fc1716,
0x7725cf740490e669, 0xcb58c73f4c575843, 0x4e44152901cc6310, 0xba982df20859e203,
0x392a81c3d34d6b1f, 0x814c5f88b1e6070a, 0xaaf3ddff045056ef, 0xcb8953e509890774,
0x21559725fbe467b0, 0xeee03a4eeddb3cbf, 0x008f9fd6d54586e9, 0xe2ebf5aedf9b6533,
0x63eb0e035c256495, 0xeb33c8d4335a16da, 0xfe47dea24b430db1, 0x18b13ad29f0e7966,
0x65e2f4a3fe88d77d, 0x35afc1fbd67965ed, 0xeda0a65d97407175, 0xfb1746af8b1908a9,
0x64d55d92832fa7f5, 0xa7ad683ec146cc66, 0x5d0db3a88327c5d4, 0x236cc7402fd0d18c,
0xbc6dc347233a6fb0, 0x24f0cc2ce4959b82, 0x8e1ebd57f22e8a7c, 0x764eeefc376a0d75,
0x7da2de7f2b5245bf, 0xfa9a1b6c97fef7b6, 0x43a2d194ca046324, 0x5a936de649eacbdb,
0xc08d1f429c441d62, 0x56b7d209cac1a3b5, 0x59adc69c2d70501f, 0xdbb3b04b7f3ed2e7,
0x42c3d3ba4dd8234c, 0x98a0b5617c1969bb, 0x0aecd08f2cf1ec0f, 0x8653d196e94f0369,
0x88e571f559d7845f, 0xab0540a7bb7442f0, 0x310d4ccb2b1e8430, 0xd2af48b75971d8fe,
0xd535ccb53cf4ae1b, 0xf5b2b105302acb9b, 0x2330e80e4196b8e0, 0x55e486b2c2914062,
0xf3aab520de57d2b2, 0xc9ca9dd7f9540d11, 0x1fedd079904aae4f, 0xeddf090d6e970f43,
0x7ad7b5bdec02151f, 0xe49fed5bcf849cc3, 0x6525aabc18dd0a3b, 0x6238795c52ce8b9d,
0xde12f5df5a19ef02, 0x44a449e6d8292dc2, 0x8d40454bd0bfd955, 0xa0f6b0aad5e81569,
0x5aefac6f38845398, 0x40a5d11dea55305a, 0xc9df50fe52c1f427, 0x218b467e7568955b,
0x834015cd5198f21e, 0x447111ce5ae64215, 0x6f11401bfea88aa2, 0xffe75c4113bafe86,
0xe2b48f7a200a42e5, 0x839dacd4288d1f5a, 0xd9444c95740475ac, 0xdd14e1d1ea3e6462,
0x45f0cc8e99c6d1da, 0x7a03540fea610c39, 0x909d6b6a0fae0f17, 0x05ed2454bc88c856,
0x242951361df3f5af, 0x9b3b360a3b24813b, 0x4841163bda66dd99, 0x8aa60cb754cdd5bf,
0xb8bbb48bca9865a8, 0x10bcacb0162cb6bb, 0xcceda9c1abf2cae7, 0x5ffd91fe98549c00,
0xca42bd99c5fc953a, 0x5634f2239991960b, 0xe622ea5fd0b738fb, 0x8484833e53c91674,
0x876b7d7aca23e963, 0x1cde128535b4ab4e, 0x7cedcccdaaace3c7, 0xd5713ea86362684d,
0x58faeb0f03b702a5, 0xaf13db66966ec9eb, 0xe6716a31058df8ad, 0x66ab4071ca58fd38,
0x7957cb49d2d19e37, 0xf9617fb72af823d6, 0xa7e332751050048d, 0x395596b56c51a5a7,
0x6083c6557de3a2a4, 0x5257008061cc54f7, 0x0d689ac705d3154b, 0xf827966fcc134117,
0xd126ee677e585a44, 0x5bd3bfee40db0664, 0x65f55009d3df7c60, 0xc2d07f1747dea883,
0xdbc983108fae32c9, 0xab5acb3d7b4cd0c9, 0x7cb8e265b6850ca5, 0x72fded8debdf4359,
0xc8ca5ebf8d632acf, 0x47af9f7738f79ba6, 0xecc52bceff23a8b2, 0x3b04b1bed94c2b4b,
0x86f43870a0ceb79e, 0x493fd815769941f5, 0x58df64287742315e, 0xc3657113d8da762b,
0x35e34df0a3a12ccb, 0xa653c2baacf63006, 0x805dbe73922f50c6, 0xa803dbc03215f571,
0x93e943e03dc28830, 0x38859e9ca4aafe43, 0x3fe5d938671a4175, 0x6fd1105782d77593,
0xba8a1b4db0a1307b, 0xb744d84063a767a0, 0xedbbc5d4445de18c, 0x5432da547d5f95ba,
0x9608786c271ec975, 0x2e3285837baa917b, 0x869ba079b4987aaf, 0x5c16bf24ebf099ec,
0xf3a739d749306f23, 0xbba0d18a7b0ce464, 0x7ed4280658f8e901, 0x4b0217c7cf425b0a,
0xf67049e78a2820b5, 0x79280fa60b2a0efb, 0xfa88d40c981afae8, 0xf53469cd20de9365,
0x0457b41d1d5d6fb3, 0x0a87cabe39247ab2, 0xa8f5af64b89cd6b9, 0x828eac9013a49169,
0x4a6584dd6e82067f, 0xa6e318d300f7532a, 0xd87ecca6443c119d, 0x8061448dd1e26bde,
0xbd83f2191486bdcf, 0xedc7050260e2f946, 0x890fa510990bc567, 0xb247ffde5c8d3a31,
0xa2f99b16f4c23337, 0x15c2261e37411d61, 0x302ec4888ca44c70, 0xaffe8d089f3ef502,
0x0cefe020a7454197, 0xd1252bdec7b475ce, 0x0b9738a5e2c37a20, 0x0c83c66d0ca05f2f,
0x5ff2ddf364cf8a8f, 0x4343cce75a1ac5ac, 0x8372369347fe36a0, 0x17ff4de73f32a507,
0x3e6836867d5e3bcf, 0xd98ce42333478b49, 0xec06c2261c669b0c, 0x60c044763c4fcab2,
0xda44669bab2ab5e4, 0x7aeefe90f3a14c79, 0x15a8b43c7ad30259, 0xe5180308c2af7125,
0xc2b9379a066728b6, 0x1e429e21da3a6e68, 0x8ee4dcba644e0304, 0xb60335d8e07c8e10,
0x4f813281fcff343b, 0x96d9de85005d8c3a, 0x2684dd1b9247d759, 0xa904af25cb3e4e43,
0x20b767ece53a2ae8, 0x6e3ca764b7779948, 0x708477d973193114, 0xa5d326b737a0e503,
0x815ad27b52af3a94, 0xf02d10b68d85081d, 0x49cbefabada95380, 0x1ec65dd80d53338e,
0xec1727216e724b85, 0x8c38c1a29e6396d0, 0xc7db58a979eae9d5, 0x093f44f74a79471b,
0x332f317b801a95ed, 0x7ea31f1d689e4600, 0x9075b51db8571f7b, 0x56905f2879ba787a,
0x47df4250c8b6f372, 0x6e016ddd9cca5ba6, 0x3b729f2b191f7f85, 0x7ebf1d2354035578,
0x74c9f94fe0a76bfe, 0x7cdc07ba9de48b54, 0x6acab0c89e1cbeb5, 0x3db6c5086439d876,
0xaed7fb6320e18492, 0xe8318a4ce30d2cc0, 0x65ad2db45840ad1b, 0x163f94a3af95a974,
0xf4f546b7364e3b58, 0xa566fc5fea9d776a, 0x3902f5a8d2395207, 0xfa45c573db9dc4bf,
0x909ffea0fdf85c69, 0x7e29a46595844de7, 0x61c2bb9b0894211f, 0xfc88b6370d6a9185,
0xfe65320726a5e176, 0x301d41d3bf9c8e26, 0xe74546c4b2adedd5, 0x71ccf3c726b8e32c,
0xbf367946f8db52a4, 0xe97732ef63196670, 0xd6b550db7c1e4d14, 0x5f9589b006d2e775,
0x48e2533301af5f8a, 0x8aae0060bd237052, 0x41e8cef9c466da00, 0x0f266246047c0f12,
0xdd442b288bfa2253, 0xc306e0532dc61a0a, 0x2711bf71854ea80c, 0x6e427b8703bd8f93,
0x8a125f8cea261dfd, 0x089d06491e84d00c, 0x181797e9b5e93d4f, 0xe0486a2af3d6582f,
0x8479be2ce5ab4ad4, 0x2883f8b40eddbd49, 0x680fba8b1618d3c1, 0x2a367b47da9f40d8,
0x29d9239e48288a3f, 0x321cc7c1b3b8ce0b, 0xb254cd398dd458fc, 0xe3cd431719829723,
0xfcf6e8cd48a95174, 0xefc88e7100d910dd, 0x48c8b17d4601427c, 0xab2ee81fbf40c9ac,
0x92d03071c15fff43, 0x13d21338ff8fc415, 0xd1bcc55eec33756a, 0x9837544317c2cdb5,
0xcd447b5bff31f6db, 0x3f977e5e48aff7b9, 0x05dbec11bd7ae285, 0xb8df878a9c0c7da9,
0xc4ff5b7bd7197e22, 0x28b26465dc31ed7d, 0xeaefd22fd2ea3c56, 0x22ccf70cd9567ff1,
0xd092cb564530ad8b, 0x42946234c4a08cfd, 0x14f2837a7488152d, 0x78133c718b217b54,
0xbb6fec40d774a58a, 0xabb7947810ff2bb3, 0x45515c7c271ce353, 0x806cb20c1da63986,
0x76d9995f2344a018, 0xb21f1420ef624fd6, 0x44f521c43ed41dba, 0x6f059479b51241a4,
0x64868f0781f6e6c3, 0x8a67592bcdfb131f, 0xc0411343d76726e8, 0x1133a626e1c936a9,
0x4e24e6eb21560984, 0x56b602a46df3e8d4, 0xcddf072a40be5dce, 0xf9a9465e87a67582,
0xf8bcd3f42a6b9df4, 0x292e1bcc1bac0fde, 0x9abf911ec232417a, 0x332f3f0636388b4e,
0x95cbe58e42520bb7, 0xaaac4fc762c86aaa, 0xcf1074de23e51112, 0x0d920833a729eb0f,
0x6af154e74e8b135c, 0xa97a2dd50d5b516c, 0xa2d039a4a918e042, 0xec813189d2c95d4f,
0x43ec93c6c49728d2, 0x675d4f24778bfe14, 0xc57a962d7e4839d5, 0xbce857202c7ab25c,
0x0df4b462b12167e8, 0xa74ec4209603e47e, 0xf7bbb60bd3e364fa, 0x1059dc45fe259f2e,
0x9ee1983504ae31ce, 0x3b0c7ffc4213b7f0, 0xbc06fb9dfb7cf49a, 0x00df01dcd325f977,
0x1d69336863393cf7, 0x50ab7bf1b33ccb45, 0xe6c7869d05b89d11, 0xc939b6abc327d49f,
0xac92fa5af3dfcaee, 0xad9a6025d859e1e0, 0x015b407fb0061005, 0xc3bcaf4333b73959,
0xd81c61af6b00a24c, 0x98b5173620d47301, 0xcbb24d874d5448ec, 0x3c23479afce7236f,
0xd4e09513c51d3e6a, 0xcbbe3ba832d4dc6c, 0x2ecbe4cd103a903a, 0x0af9d12360c1ab56,
0xbce89100add7f40c, 0xfe0121c129f00b9a, 0x59c371eb5a539b62, 0x367526e5824a9238,
0xb06a301fd1e41fbe, 0x1008f64a5729fac1, 0x40aa208f561dba5f, 0xa6d5f0ed086a5b30,
0xf19dea4fc848647f, 0xce6d3402c3c289da, 0xf444dee33a518bb6, 0x7888c884505e3faf,
0x3459375ed89011c5, 0xa2c72fc9936cb064, 0x931d06964349438c, 0xcffa7cfa11becc6e,
0x17c4f1b45ad11b4e, 0x6b89f7b164b65282, 0xa85123a88e722924, 0x657aca4c897992f5,
0xfb10db2725e68b6f, 0x9d2f296d47ca52b3, 0xda7bf1834f9a0687, 0x7bac00138e1ee7b2,
0xcf099d5a0cf43f4e, 0x02c79a0ef8a1e89f, 0xb2c9f107d6e6f95d, 0x53fc61b3fa69d81b,
0xeb7498d5a36a7c9d, 0x028b055dbd84c86a, 0x9c1bcbc63d311d1d, 0x8e0daf51ecd1edda,
0x8b66511e0b6caec3, 0x8d870f8462e282bd, 0x7828ac68282aba19, 0xcf23c72043f337a0,
0x89773ead20642678, 0x442f43ca81cbca66, 0xe14b137c008855c5, 0xa23578f4bd668ffd,
0x0b54c97d59344c69, 0x35e3d7bf83b44ba9, 0xc9b2db45c08f020e, 0x14f13318c7848f16,
0xba67dc4c4fc73e5a, 0x3005dd297ee71e81, 0x95abc79b73250353, 0x30e873f34c51a0d2,
0x8a6f51caddbabce3, 0x020448deb4588fc4, 0xdd1258c1957e3e51, 0x6f6dda6e29a875d3,
0x8f27c4f8d1c81fcf, 0x06006b8adaff6205, 0x525c6abbd3a1188e, 0x80246698dc86cb63,
0x64c2bff746c98f7e, 0x1c814565c06a7f15, 0xefd1a3f664bd9fd8, 0x093dca464b094e6d,
0xfbaebf4b9e1a0cc6, 0x2e5b8046a170b020, 0x56e40559a96580f3, 0x5afd166cdeae5618,
0xbc03f598b2bccf26, 0x7131809d54fdc324, 0x978dc5a70c305539, 0xe68f942dd8ccb778,
0x2bfff105f1029de0, 0x72925e022a362c31, 0xfc16d3fa7fb40ee3, 0x634ae9b82cc0e12b,
0xc70bafc6e227ed66, 0x860226c77599dad3, 0x7444a24015dbb6ab, 0x685284d99fa0dd40,
0xa8c8b802d74fdd4f, 0xef91d344e31fb2d4, 0x6f12eb98cdc499f7, 0x9168d7e3464046bf,
0x93d9db65aca777d1, 0xa1be49215c64302a, 0x2885a0f6966d3fc1, 0xa6a2a73532f66e1a,
0xd4c6eaf3b5a25eb4, 0xbc874f314c657cdd, 0xd9777f391b27a6fe, 0x3b0648a11a991ec6,
0xd19e3061acdcf266, 0x9ddd7c6c6e4f06bf, 0xe5d0a051fab2b596, 0xf009eb4191cee75a,
0xc03ef9a49d8b9e0a, 0xdf42cb1eff347366, 0xa3c92515cb7f4e0f, 0xdf0464e286e5f1c0,
0x3f73db78018bdc6f, 0xe5f943807bd3a23f, 0x8c235211df0994cf, 0x2cfe072a4e8bdea2,
0xc8d427bfe56f0932, 0xe5e1ac239e20cac1, 0x083029f74f8c0212, 0xaa3a3ed45a4287e0,
0x74c6ccb14b430144, 0x4c381cc2e2ddc27e, 0xc4885af1065f2d2c, 0x9586768179db0b09,
0x89466b20078733ec, 0x4825181d8039ffe9, 0xc87831e1c6d4cbb0, 0x87e034a5741961a5,
0x29aad84c29f1428c, 0x4b9b21ef6cbc2402, 0xfed029400ade7f5c, 0x814b16c0d0310cf9,
0x538ba08e935a7427, 0x0e4d59b8e5aa648b, 0xf8dce8be29638c2a, 0x3fbf1001dd155592,
0xd6081ef4dad8857a, 0xd3e23eb6e8270505, 0xa6cf6761428d3f7c, 0x1e8a9613728bd9e4,
0x5c88078224adb34e, 0x63984819edb72568, 0xb92397ec15b63ab2, 0x0f867ff3fe5846d6,
0xc37a596e39b13b5e, 0xe6a376cbc02c1804, 0xf8e312c5e9f281f0, 0x9c38a8541f50f2e1,
0x881261176e601702, 0xadba05de1ced4c46, 0x83d6d06e8393f1bb, 0xa54d0cc5ced322c7,
0x50e4ed28b150e074, 0x303d53636ccbecad, 0xab7bbe71bd1fe4f8, 0x5aa844511f3f32a7,
0xaa1d7b06e930916c, 0x051d3440a772ad0b, 0x7901075e16f8012f, 0x79184a4ebfc0943e,
0xfdfc3a4f3cd3a849, 0x5cb5691a2c256d9b, 0xce7d8192594dd790, 0x55f27c7ea161da27,
0x940135ac335fa902, 0x80db23d00d5f82bd, 0x350fa9c3ea6db4e1, 0xd527ca9ffd83dc2e,
0xc4ddb24bf349bfb0, 0x4f7af90ff0914dc3, 0x2f883972d643960e, 0xb20a54f70bebe428,
0xb9de59fb8ecd911f, 0xbb95c8d7732b567d, 0x86438156c29305f9, 0x82e32b80d2514700,
0x4bd94cf9c669a45f, 0x5ab5b7cb35a8babf, 0x9c5b36fd20c00862, 0xd0554b39a8f40dda,
0xf707f6a43ca75a5a, 0x1a9a99b8f559bcc9, 0xdaa2de48f0fe5d6f, 0x14bd127adbc8a816,
0xc271625baa62c146, 0x4e64e340f5b53840, 0x385d6908dac9cde0, 0x163df47a03057fe9,
0xdee2b5d838dc9d2b, 0x5a05142d558c2991, 0xc2392c9bb4f9d5c1, 0x50c02ef42c3ff462,
0x783e01b44917e215, 0xd602419cc153cb99, 0xdd932aab20c898e8, 0xdf10d6aa0959ad3a,
0xf9ddb328f5c1a2c8, 0xa19a407437a828f2, 0x16617fc6cafbc39a, 0x2735c1dc69e470da,
0xddfd58a3ebfee999, 0xbeccc33304da1cb5, 0x9c9f553d8737ca63, 0x051d0761f56c17e9,
0xfdc01782c17fb9de, 0x3ac70a41eefc8493, 0x3c61ea02eab3125d, 0xddd32725f3661ce2,
0x3308bac59c80bcc0, 0x611897f580ce5f2b, 0x59661276cb9e8d77, 0xe3835160ebcb5e4d,
0x121ce9cb7cffccbb, 0x730cd4ca209aa18e, 0xf9b4a030088c8b50, 0xdca207ff26da764b,
0xc6968dadeda0effd, 0x39a7b133899d0d4a, 0xda0098faebda6483, 0x02b62caeafbe789b,
0x165f0e314ffeabb5, 0x133f726b07831b93, 0x13d6329715c8f6b4, 0xa5cc40fa78f69991,
0x7e8adf7afd53c80f, 0xd28b08dcbf47df60, 0xafffc1caf977f320, 0xe362a59206a37580,
0x5948361c82787066, 0xcf9cd43ec23f2b6e, 0x11b25b15db1507dc, 0x830470024c00c46b,
0x69169d7705c18274, 0x2cfbe6fa49b4d89e, 0x1315d6a4fe33f124, 0xf55eb7a720e59af1,
0x61839724995a2533, 0x139e6ee606fe7593, 0xc35fa00db97dab33, 0x421c8be8664f7e0d,
0x7b71149938068230, 0x2de781c19f52cd7b, 0x5f73ccdfeac85212, 0xddf77578ac96dda0,
0x1dfaf5f084693ac4, 0x19611464f516bb86, 0x010d84be6d8f15d0, 0xb333b02e51e0b27d,
0x0357749b81b61e60, 0xbc5d7e234ae42f9a, 0x073fb0028da484cf, 0x7eee16b8dbf80d23,
0x896c023acbcc551b, 0x7b9eadde5be233d4, 0x2b82bbe948f94018, 0x7a4a53b765b9f3fd,
0x0090954f291b9eef, 0x900a921f4503f87a, 0xe17f34b5245081d5, 0xd09a1b1da2584768,
0xe5cce3530b26cce7, 0x373aef871710c7b7, 0xe94c78861c36c7ba, 0xe3c1f24f0a5ea2c4,
0xb07c4a66c147187a, 0xc30f65a2c415dfe1, 0xfd6fdb3f82a47a15, 0xaf826f25f94543d2,
0x152fc4744283c954, 0x23259f7f4304d188, 0x90bf7eef8330e747, 0xd4d96859d260025f,
0xed48f3adfc77212b, 0xbc0fb30c4d95e224, 0x9a430f7ba89a8074, 0xbbffce1fbd79d817,
0xa8ed6129edcc5cc9, 0xd7ad65c141142c8c, 0x8cce08da486488d9, 0xb89f1b275dba10d9,
0x68aa1d82c2864477, 0xb0881722bc485b76, 0xae7444b971d53b61, 0xbffc0efd51b676f4,
0x2fa26ca116dd1796, 0xaa0fcc720ea32863, 0x1a950cbf09155d72, 0x91fe8b751780e2c2,
0x3d13d82aa4f8c1bc, 0x99710873bb3b92e4, 0x876d1f9b11cbb0b6, 0x0304e7338714503f,
0x863a8f6e2f934730, 0x693931a0af423f3d, 0xc04a3a35e7752d17, 0x31522c6c563c31f2,
0x21f944903b44826d, 0x8a43559fe3d1fa47, 0x0adc5f3861f67f1d, 0x4ccbddec9767df4b,
0x421802efd669a032, 0x72aaf7472d9e9af3, 0xc6e7a6ad415bdb73, 0x95341a1d1396008e,
0xa3f0bbc3d1b39406, 0x2bbf857e31607f66, 0x6ce1ac8bf06f961d, 0xf2bcf45b995d8d80,
0x54e40a3490ec870d, 0x0aa305028bc10f9f, 0xcb6e23dd8aa524ab, 0x89ed504e843102a2,
0xc44f156237de6268, 0x96a1dd4535ac4fe4, 0xc9b5268be5f3f462, 0xded91ddde7655484,
0xdca6d90e607d7a99, 0xf69c789f8618d96f, 0x37d3374acc11f162, 0x4c8ed7be15f5d3bc,
0x45d7499ab68c2b9f, 0x3c85a3176518e602, 0xc5228255dd278cf2, 0xf8b0c00d850f0bfc,
0xf859d9f2be619bd9, 0xd91763b129554710, 0x8ce965d8fce4c3c4, 0x9d8f199b207565ba,
0x8402ab289268bdc8, 0x1857579e1f375da3, 0xe2556defe2ba50b8, 0xd220c2acf01ead79,
0x638e50950f2f0992, 0x998f2fba260d197e, 0x7872b743036d708c, 0xbb0d066cbc93e667,
0x783cf34df5b54bc3, 0x2bf92a590998be10, 0x8407d5b3b17403c2, 0x793ec4b5e96a7bd4,
0xfad64d79e005de5c, 0xe1ec7d4654583bc8, 0xf76990aabf810fb0, 0x5023c76424773c43,
0xb29182696b42afea, 0xbcab07ff215f0ba5, 0xa12fdc03e3d1a19e, 0x8f8595eb3a928ec1,
0x074ddc5b194444f4, 0x70c0fcacafaa9480, 0x83e0e178371d60ed, 0x2e9570fd0cc42529,
0x492a0233357a5a28, 0xa89a164bd12f8457, 0xd89b3443db0dd2cd, 0x7b17165eee2722e4,
0xecb4354cd47d260f, 0xd921a0e447dcaf8a, 0x38830949a6843433, 0xf9447ebb37bc149b,
0xbaf6d7deebf522ce, 0x6224cecde84b64b2, 0x69d60ff41d6a7bfc, 0xdcab06f680908e94,
0x77f5e3c95351b9ce, 0x475520c75246298a, 0x9266b4df1c61fe76, 0x97015c55bc7e8502,
0x507e28bf212383f1, 0xe4dce1fbb2212f63, 0xdf60ff51da8bf25a, 0x693d47379fb16217,
0x0ff9c5b19deb7bbb, 0xb3f2731390cae9e7, 0x24a0a42b48203974, 0x6db7a88f38505171,
0xda55833025e9293c, 0x99c01baedc1f7808, 0xa5ff89cbf0c51c97, 0x36e87a7337fd2154,
0xd61451956fc41ade, 0xccf744ba04064690, 0x265e766074582bb8, 0x4dbaab4bc0b50d49,
0xd14cfb3bcde50d58, 0xcab1725bb6cf3c21, 0x8228ed9ab71d74e7, 0x8869e7da4e2f7dcf,
0x0e0d9c99c2434d26, 0xf2d9d650471e3665, 0x5ea2caeac7b27954, 0xb3ec2887cc509de5,
0x940b09171b2611f4, 0x3271b74c068cb2df, 0x51c7437a63f9fa1b, 0xf17bfc2a13f5bf4a,
0x528efa0a0b29ce97, 0x36202dd7baeb543c, 0x07c3c1a2621310b6, 0x5b8c526656ec3021,
0xf4bb87a0b8f8165e, 0x9e1f35c47f8f104b, 0xf779bf82f46beb81, 0x7e3a590bb7762349,
0x17b9a6d328bc4404, 0x26d383c880627f0e, 0x374a0e32bd57683f, 0xddd484552f8eb9b9,
0x71327b6b7b4d6a11, 0x8bb0ccbdd9ebf893, 0xd2ae7cd1f9f4320a, 0xc38fc9641895f301,
0x31ba9ee5810819ff, 0x8d7f037da5a7cf4d, 0x13365bc499635048, 0x026d26f28adcd7d3,
0x848a75680b009f29, 0x1b2a0c16ae8ae71d, 0x0677fde750d81a21, 0xa2ebd26758863c82,
0x20271da647ac912e, 0x07951936c7cbfc20, 0x4003bfd4ccb5929e, 0xbe82cb93cf5f4fe4,
0xb35863ae0517b07a, 0xa4eeab0bbedda8db, 0x9a736f1ea3ba0e1b, 0xaf2ed098bf860daf,
0x47760cd654d8ea3c, 0xd44f528b01739006, 0xd5e9574579407c80, 0x9e3b4a583fb5a3cc,
0x8272a481a6291159, 0x2645f3fddfa2a9d4, 0xaf246fc054619919, 0x7920b61d9a70155d,
0xc0ec6f55d82a4518, 0x2edcc831887cb0b5, 0x0040ff0bbb6700a5, 0x0e1d414257b6c7d3,
0x4d39608340177d8d, 0xffc299f2edef6d8d, 0x8b18ae9033649e75, 0x365a019fe5211386,
0x91258c69359c0367, 0xe00740d55ccd9819, 0xee12c8065e54940f, 0x8f9d508aa6e31ad5,
0xcaad6df5ec1c7846, 0x0fb17a85cf0a8292, 0x5ac202bccfaf485e, 0xe97ccbf6c8b69aaf,
0x7b74907918a17e99, 0xd37266ba63c1d74a, 0xce2031290715de47, 0x3403b73c1727bdda,
0x1821d6d60f5c2f74, 0x35a07c57b008fa8e, 0xe091c57597b91e50, 0xcfaa6060ae48b66c,
0x92f1266ef5b8ea0c, 0x808f8429f278d39e, 0x92d273eb0a8ba957, 0x513d57cebab1345d,
0xb6dbfb612464632d, 0x6adb3a010cd0bf69, 0xb5c2908f1a45ab5b, 0xd456a6f0800b0a10,
0x6ba1b566ec5853a9, 0xfeb09a4bc1b613e9, 0x11d8d51b09e01ee1, 0xa086ac536a806a31,
0x00271b2411ea3b16, 0x94b39bea5fb50180, 0x45a04f3ef7e8bcc0, 0x3565e41efe365b6c,
0x6da5d2a6cb79100d, 0x93c91e2ee5a81139, 0x4c6ada4c38945284, 0xa04702486888b283,
0x35f2abfb416a8294, 0x29c749e4175e652f, 0x8809977e32235d5f, 0x7ba0eb91e236ef50,
0x2c25e067e0f8fd7e, 0xf013cc5f815c308b, 0x755740e8829f6e4a, 0x56ddc51b84a07d0a,
0xedc2af6b380a032e, 0x73c841ade30d7e64, 0xd8757e5de44d001d, 0x438bf6478251b977,
0x930a28316b236b6d, 0x66d38a492d97694f, 0xd4724d57dde20a95, 0x9d276c6cfa11221d,
0x6044fa85aabe0930, 0x75c07419d9d0b1f0, 0xc6da5f29b5f1fb31, 0x67dbd9a4d8f1f218,
0x38499c2cad04abc5, 0x5f99d46c1f41bc8f, 0x91a4806d717258f9, 0xe2207201aefcd8ef,
0x75f9aceb539d7a13, 0x6a3c120cc4b4edf7, 0x6657b5aa65bf7b07, 0xc5344d4320182039,
0x4152fe780f341c83, 0x85441680b7ef6ac8, 0xa6b6425d279aee4d, 0x6f310f8727bebb57,
0x070064f13f2bc818, 0xf961201bcc0d948e, 0x74a0186f6d95845c, 0xe326ba59a72533eb,
0x06234a0bd0ae3f02, 0x06b1f375f09add05, 0xc74930729dff87b8, 0x7bbe4623b672ea51,
0x95149656bb78f735, 0xc5a6fc7b747bb2bc, 0x7fadf9e2d3fefd7d, 0xdb58af985690f1cd,
0xdab71092a013d481, 0x411a96c20ed3ea76, 0xd7775aaf3943a822, 0x95a8c53bb2da5dae,
0x90c3b1eff76cf6b7, 0x53211922add0adbb, 0x944515b3428ef76a, 0x708fcf0f0eba9774,
0xfbfd76c4d96e6d51, 0x3c64af3335028c80, 0x696fde98feaf856a, 0x5d981ceb593c006c,
0x74d6d0f0521531c6, 0x31255e5bc6630ef6, 0xd156025539ce28f0, 0xc53a700a404cce5b,
0xe2fffa50d96af07c, 0xdd24b7c86cf9dd02, 0xd7354261c373fc6a, 0x1d56f89c8a5c9bc7,
0x33a7135f02921c7e, 0x3a5319d9b1a1157c, 0x941182356070275e, 0x211c6bf9203e488c,
0xde48c6118d6a8068, 0x819fb5f989368755, 0x2ff90e9192f90693, 0x9fa86b348e8c6ac7,
0x4843b8dd2e186336, 0xe39b352e5bc6c40b, 0x44e2593bf8b46f9d, 0x29f3f1297917dbe4,
0x025bcdbc636f3c7f, 0xb04683cd5aecc72c, 0x7c27b9f84bc42d2b, 0x12481ebb3d7429bb,
0x638e311128ec1ca1, 0x045ea4af0da3304d, 0x8365a09cc4fc50d9, 0xff5a758aa9bb4d5e,
0xeb44acf4dc874d35, 0x4b4df65e70d1c43c, 0x2abd42898043c9f0, 0x135335441c426e79,
0x8b7dce6afb7c92a1, 0x08ab46f36fef1396, 0x16ad4bf8497aed38, 0x3d7a45838852dd3e,
0xf929bb3a1197c421, 0x12e7430cfc75d34c, 0xc350fae878a51ab7, 0xea92c9f9066605b4,
0xc2e456b5d293a1e6, 0x82bf1d469e473fb2, 0xdb8a9ef6060b7431, 0x84d7d518a687aaa0,
0x7511aba6d72ab3e6, 0xf1803a219a0e8541, 0x6671e0b711d16ada, 0x1fe56df3dd806f34,
0x123e3e99c75584a9, 0xfb2912ed58114083, 0xa567b1be7f0d6ca6, 0x158fd724ae15cd42,
0xe4e9093dbb2251fc, 0x693066c64a877938, 0x7f0a88da9e49d69e, 0x85fb2e8c884211f4,
0x16b3703d61b5fc07, 0x10f204ae223a3bb9, 0xcea9b03f769dc6af, 0x26a85ba73d11a754,
0xa736a3990cd8fba1, 0x3d78f3fc826589c9, 0x6af351aa1d5af8c5, 0x9789da391b4045a6,
0x7dd80e45368e8f15, 0x55bd8f69c6c4a04f, 0x63701e126f7f7555, 0x0f4eaa6b192e7b68,
0x3e60f97317c3355c, 0x3d8369696399d954, 0x811db425ca1bd0c3, 0xce60f0ea613717ad,
0x756b4896c9fce76b, 0x48ff48057e170322, 0x1e674debc605948f, 0xe8ebabc592c96df5,
0xa0baa2890072593d, 0x3d5ed05ce017bd30, 0x2d3a4321f9e14bb0, 0xd8b6cb333adeca62,
0x56ef35032f9f8550, 0x14a78e964178dbbe, 0xd22f28cf4282954a, 0xfdb769b92fb886da,
0x456419eb131cdad0, 0x8bed7ab49a0a975e, 0x47f3344e8cf0bd23, 0x89be455d73df6c65,
0x6591c78ea6e9cdf5, 0x62f3ac8394595027, 0xfbbd73e89d04aca9, 0x754ad3395cc1703a,
0x2c631059948a10c6, 0x70444874cc7a5bd7, 0xc42433386e225787, 0xf623d0f29219d8d9,
0x7863ac3b2da17b77, 0xf974847549705dee, 0xe1311d57f9ff4c29, 0x4d8d8e511d37bc5f,
0xc710841563d5653c, 0x9104f0ca4619cf27, 0x6c5a6c9cc63dbd38, 0xf206bbd60fb4f8b1,
0xa46ab141d503ce00, 0xee0b3cb552228988, 0x43ff2198f7e7f130, 0x7acc681a85338892,
0x30099256bf85ab02, 0xf3a19d21e796b48d, 0x974e069f4642153d, 0x951024e9d8c1c0e0,
0xcb98162507a57526, 0xba7bfba106f8915c, 0xd689a5916572d2e1, 0xb04d938c0bda12a8,
0x312ea88fa00e767d, 0x5ceb9f376b2a1458, 0x88ad23a48716e444, 0xb357a4055cb6c755,
0xefbfa99f519b14aa, 0x05100ea0c2c5bed4, 0xbd5d0ed83008e7f3, 0xbc808bc4f3c5a3be,
0x043ba08eee404167, 0x48da0a5381c0053d, 0x8e2acfab62d8b2ec, 0xcbb65307060907f2,
0x8e2e03d00f7c3b46, 0x7bf1342e6c1eb4b7, 0x79326f91ce2f90f9, 0xcf82c22596bf087c,
0xbab0205f3e37d6d6, 0xcbe0a2bbbbb6da98, 0x88df65781c3eb49b, 0xd3b3af5c9881f577,
0x5ff9c025b3bfdbf3, 0x1bc44d3f4bde0426, 0x3c7ec7faaed59e19, 0x28b3338b3346ec94,
0xeb3013c3c63271b3, 0x72cb71dd6446654f, 0x9d77f015f5180a7b, 0x04cd8c08a9a7759e,
0x68f6648046ced404, 0x005c821877f9a0f8, 0x60ca2c971cce3888, 0xe7f67f893a21c0dd,
0x2b86e3ea4feca4d5, 0x9f4f45daf48f8733, 0xe2c504d1e437accb, 0x3a1b9b1fd301f763,
0x130cd4d44d922a42, 0x947d0bbd5de87b2e, 0xb82d109d4d3c2e21, 0x15483db4eaae9858,
0xce64e28b31523814, 0x3a3fcbebb8d65a17, 0xc366013c9b823c80, 0xca98f47fe9a4b5f0,
0x0500e33d24b127ed, 0xf311e5b0c89a63d4, 0x5fa7bd3523d869c4, 0x39177c3c2a86174d,
0x92cecf2593315805, 0x167d95526c5d5c8e, 0x538da689aa9a8bed, 0x5ec455f011991ea4,
0x19088f17d2bc0219, 0xc9a4a3cfb111acfa, 0x3f188df22fc58014, 0xc7931b5dbd7e673a,
0x7920b3afdf7677e2, 0xe081f8fa266d4c5d, 0x0b6945311135e64e, 0x333e25be4f7f644b,
0xf26668cc1020fcc3, 0xa657a29ebb251907, 0xb5a87f8ea7c160b4, 0x0ac7cdf80bed35d4,
0xaf99003f68236072, 0x594f8bd296dfbbfa, 0x347603df94903d61, 0x6a76802e6e50b807,
0xafda83c584773d4b, 0xe67c98523866f9e3, 0x65a1d20b0f3f30cc, 0x1ff89acf370ee8a0,
0x703f8476e5aca25d, 0x85113e014c2cf1ed, 0x158f0d836d09f6b1, 0x222ccb0cb5b73fc0,
0x9d91168520866ba1, 0x01c832c22023edf5, 0x821b9950192046c8, 0x29e2a78b9bf4d684,
0x839a1fe01a24c654, 0xdd125c5554c65caa, 0x2dd60754202b1373, 0x78ee3d9e93237add,
0xad1a23444173f4c2, 0xdadaacd0cc99129d, 0x951faf617bd18088, 0x6d5fb5c0072ebe96,
0x46bbab0a7e9d3066, 0x7331eb5fd19cc432, 0x672b8bedaa55f6d5, 0xbb856f1736d7a84e,
0x4997d67db772a9cd, 0xd9636095aa677b67, 0x4f19a6d90385d33a, 0xabde735cb2ecb18d,
0x2b4021056160cb51, 0xb915d9d52c68f2d6, 0xe11bfc79b430fed3, 0x01ef451db7d1d49e,
0xc8152fbf2fad5342, 0xe08deba32a30d49c, 0xea8f4b3cd2a6a5f3, 0x8e9ebf6876efc454,
0xd9cc3adddaa306b3, 0x4761850006eb24b6, 0x9d7125e6fb08f8ff, 0xce982936473f4f56,
0x0afa1f01b49afad5, 0xd4939e7cd20890d2, 0x1184d45f45a0bb7c, 0x81eb0f8215cd5958,
0x924c56059ba64c6c, 0xfe93259a01693ec2, 0x1d4b1b17843f0caf, 0x9c5146fa7cf9c947,
0x8d3b9b3112a98622, 0x1cd73990a7fcf454, 0x41869db4247aed96, 0x69b5e8f181202ba6,
0x2bc3e697d630def3, 0x2679557706f067f1, 0x49826fe4040975c8, 0x82b0d2f2af7c8210,
0xd10b7e6a658239cc, 0x46670b29242387cc, 0xf35390ad05300ce6, 0x62575308ff2a442a,
0x9862525d43d07bc8, 0xc9c46092a5ab0841, 0xdbcb53b9d2c6090b, 0x4ce9e3cc3a3460fc,
0x0b0ac10e618d4ffc, 0xf23e6d76006d6dc9, 0x16232cf717d0fb84, 0xbe2556867f968aab,
0xe0376d7c1f7db74a, 0x7a8b4197f3995d69, 0x52ab45c5e1afa41e, 0xa8a5171cae8d9040,
0x688fb5f37054de63, 0x945c0472b76db91a, 0xcfd4aa2875e188cd, 0x252624a7ec793b96,
0x8bb4f81976db4f82, 0x506aaa3ed069ef0c, 0xa87f85e7cae641ff, 0x91a44d5c2b24e4b2,
0x5c0d96bdc7e06d49, 0x29634968c7d9390a, 0x475bab5a9de0a68d, 0xd860c14528fe7869,
0x93c9cf184cc29ddb, 0x9999df6af81beaf6, 0x0f8e5eba505b5eb4, 0x1bf1c5ec9e022bbc,
0x8da274bbc2cfa328, 0x64b6b450c00936de, 0x1aa683efe64bbafb, 0x65374861c906cd92,
0xfc7dc9a96e2f9af3, 0xcb1c8f379b8aa99c, 0xa828a12cd72b6f46, 0xf4a8cb20c5c81808,
0xe1c8509c894f9658, 0x27f6c8a8f029f1fd, 0xcf642e9d8b676293, 0xbc8981ceeead4ab9,
0x9ee89a2a0d428070, 0x1ffdc8c438926f89, 0x79ee8615877f02fc, 0xafc33efde621d1a3,
0x9cca0c08750a4abe, 0xdecb33b434cb80f8, 0xe4433ef13b1ce5dd, 0xc5cb21343f2b9ae8,
0x09e77af5da3b4236, 0xf98ba451dd7a41bd, 0x1fe44edf92767723, 0xfb48c3791d4a4537,
0x728a41972d39cbe2, 0xf92fd3f52f2401c0, 0xabb622c744100316, 0xaf474266fae92641,
0x4f78d2718be6689b, 0xfe80ee10a758727e, 0x3901c7b96362545c, 0xd315a1d07b59f441,
0x36cc885bced72e02, 0xe6e0837d1daae373, 0x20e3a2f455e93f17, 0xe61e085fb412968d,
0x9855ac8513613ba2, 0x76914016c0ddea45, 0x83378d7f4181aa02, 0x12cd6c7d26d449ae,
0x0610b41d77e39f52, 0x152b56ad03066fd0, 0x54b406161d4ce266, 0x835e05978ace9c3f,
0xd9a4b6d98ba0781d, 0x0d2d0a2851b77d75, 0xd3e7afe8539341de, 0x007639151eecb098,
0xaeed0e267b68f0fc, 0xa902da2e13b658fb, 0x430f488dcf8581f0, 0x2c924174f82ff2ea,
0xd264cebe790b82e4, 0x7375956fa720560e, 0x287fa0a7f2956d33, 0x9a023aa5b62371d3,
0x2a96ef68776c87c7, 0x21978bd44c54c70f, 0xe4dc757743ebb080, 0x6d97494df9e5f95c,
0x066d726c54c3fec4, 0xd71d6552a27ea73e, 0xddd3df8123a035c9, 0x827449c03c292121,
0x5a82a72ce82b1b6f, 0xf84d27daafd73fc3, 0x6f2a181866577e6d, 0x9f6bc2cb89320c69,
0xcf8be96b5b1fa761, 0x33277a29b8a3be29, 0x0e09cdbe68c2e7bc, 0x34d99fe2a7cd7dc3,
0x848b83123a91f836, 0xe0885e2b4367b50a, 0xd70e37311d410a95, 0x7a2b7f6eb15757d9,
0x6cc4c1ded49786a3, 0x37d1ce40640e48e8, 0x0d631fa500c5c6ec, 0x88c3573ffd522b5e,
0x46a7b1f0c7e053b5, 0xf5353d8418b27b87, 0x4f1a08fa84a5cb18, 0x3124e26187e67b8c,
0x39231c72ad9bc640, 0x93adc2157aa4cb4a, 0xf1400ca0f7289ab2, 0xe2d93855eeb6c591,
0x3bdecc4177c634b9, 0xb1d04d7a5810c581, 0xa011ae3e7aa7c62c, 0x99c6863a6476445a,
0xa2e5d9811e704882, 0x660a9bfd7c032c91, 0x1299aed8f59fe22c, 0x0faa651d92dea160,
0xec626cb62d59846f, 0x0b78fd17c18130f7, 0x5bf19b4b6ada6f7a, 0x335da108ae82a51b,
0xbac0d6dcd378160a, 0x8b85ba5a5fcd56ce, 0x8ccad6332b2520c7, 0x9193101383dff7f9,
0x692381021347d487, 0xb99d5c4555fc9656, 0x9f9d653012e0b9a8, 0xf0fec44ee8e3a9e8,
0xafbc161e857aede1, 0xc861d5974b8ec38f, 0xd35b0e08153d8227, 0x1329c83c17ea2f98,
0xb37671b74069beae, 0xd1dba3d86b20b392, 0x0ede977a030e37bb, 0x6132d7d961238ff0,
0xb61237b9d7d9cb04, 0xacbc31af0de7beef, 0x6ecf35bddf10953e, 0x72495d1023e562cc,
0x0d59e2bc0464e025, 0x4689875c9c97e731, 0x0000e9094f280665, 0xf388e71061169357,
0x27eec6f2c98fa92e, 0xacec9f264e0819e9, 0xfa76a40a7b409599, 0x073336202745e229,
0xb9fb60354815573f, 0x07d7f6f5aa902412, 0x35953135b3c055b3, 0x38bee00310bfb808,
0x13bd214be1e618f3, 0x2fbc9d9d27bcf92f, 0x3bb7966ad020dc2b, 0xb6672cb57125b5a2,
0xe208b4552b0ee534, 0x8c25b40fd81e44a1, 0xe35944eddb676495, 0xe765de9c752482d7,
0x7d8e098e615521af, 0x1e400c10cb5cf038, 0x551fe78c7a7a13bf, 0x468e05a0dfec2dca,
0x0a4b468d0a3e4676, 0x8d718c5c609eb027, 0x4b0d9fe48bbf3e1d, 0x0874133f690566dc,
0xff1d5ded64da5c55, 0x532a6d4e1959ca49, 0x9562bdbfa20c5df6, 0xf41c5bb19c152155,
0x3bc72a305a9c46a3, 0x6ca44362c39d311d, 0x4fbc94e7f381f018, 0x7fb00a1121aed419,
0x4929ba12480ba73e, 0xd13324d7e1ecb90b, 0x33df7e886e2b8426, 0x620e25127b0a75b3,
0x833658ad16d27bdd, 0x5eb53842c1dc1abd, 0xb526e71233ef1429, 0x3a01c24633d0d32a,
0xff6ab33b12e559da, 0x3d1fa997fefb14a4, 0x58fdf931e359fdd1, 0xdae87d0a877dbdc9,
0x2b559fe28d79ebe3, 0xe761e9ddd8c4a297, 0xe9a63c7d7eaf12d2, 0xc9ed537205e1ac10,
0x2bde0b4feda7729c, 0xe4f18ada76311439, 0x82b892592510d7b3, 0x5d8cee05c472072b,
0x18a53fec6f337fe2, 0x60275333f197418d, 0x0db0fe9efbf0f37c, 0x6a5c6d2ea787ffa2,
0x5187c6d316964188, 0x4ebf4b3f9dca23dd, 0xfddbe23de6c38804, 0xa298cb8bf95f36de,
0x8f7987fbc3935c12, 0xe24b1156c0f2742a, 0x4b32e9ff75677667, 0x15c6cdf36f12d3c3,
0xac5270a3318c6a4b, 0x651dd822ff6ebfd1, 0xc68b2e08b497a6c1, 0xc43ded5938b8c0a4,
0xf2bba9ac4118fda6, 0xc29a8bd9582cb066, 0x4fad577274bd735f, 0x2da00fc13f14f256,
0x97525069c9edccc0, 0xf59363b070f0d092, 0x503aa30f7355d890, 0x6e1d4d291bea2222,
0xa1105233cd692269, 0xd9fd7d8fe5e61214, 0xe5e1571a78898fe7, 0x321e99d9ea1d3029,
0xbfe388d8f873ad2a, 0x00806248e903f63d, 0x6b0fe4197bb3d19d, 0xe755e681146a2096,
0x4fff7adc0eee3390, 0xaae3391991cc36fd, 0xdd3d7148b5206969, 0xc4a5e397b9c72cbc,
0xf340ebca0150c739, 0xbdd6a499bcb6c7fa, 0x945c46991d9fc470, 0x079d6b60b7bd8480,
0x1c92c3ad0a66b8ad, 0x5567f02ecefed2df, 0x439d96ca947a0be9, 0xe68a0f6d367ff86d,
0xe3f371d72cf2a428, 0xf4dd42b7e6c0ec21, 0x2d4650fdc0f4d7a9, 0x2674142c9d9da001,
0xbcf940b8522ffe38, 0xc5b71b5807bcc397, 0xdc5584bdab79d857, 0xa8ac6b2b067fbdab,
0xb689adda503612b7, 0x085e4044fff668c4, 0x9caf0f0920a0f708, 0xb28f7a871c89193c,
0x754770da5c773557, 0x598997cc5214c327, 0xcc51d6e04cfa2851, 0xd4108de786c72f74,
0xd96aac81b6fd6e92, 0x7b15c51f843356e4, 0xc589928a613c40a8, 0x9315701d92158198,
0x501876d8c9c016c6, 0x02875d52d0545f9b, 0xf485a603855b1fd1, 0x9f87176ca08ea6eb,
0x18069187e6dc5585, 0xd32b6e850541be76, 0x2d765922b364139f, 0x65cff3de48eb11ee,
0xcb04c6e4975b9f85, 0x86762558d035dd2c, 0xbc809d7d0bad9f7a, 0x2bf396ada69b8569,
0xc1b04349a8ccc91a, 0x1a09328bcbac921e, 0x826127cae83ba7bf, 0xc1fd60bf480975d6,
0x17820de74cace639, 0x0f13f947749d3830, 0x241358cc5bd02e8a, 0x57da67775b3fc5cb,
0x648b99295b8b84fe, 0x07d7555282349ac0, 0xe5f56d2fd5bf113b, 0x1bad498690192b1e,
0x025df4fe038e041a, 0x0ae4c5327a963888, 0x74de8a9e7d0f8c2e, 0x4b5a994417ccb071,
0x7ef8f747a525c5d6, 0xd3f325f295a3a1ce, 0xa4b6e5a83c3f6da1, 0xd6a580809ba36ffc,
0xbd99c925d2324ad7, 0xffc5021a4bc6bada, 0xe266a3277325c8b0, 0x06d1a245d4ec6e16,
0x893365ae33bf88ea, 0x190739b7e49ed2e0, 0xa80e6022c6e7f182, 0x5822c7a0ca206110,
0xcbb0a7b35798df3c, 0x546f121c6ace3652, 0x90305fd56f089f36, 0xbdb96bc252013109,
0x2e55f4ba753401d3, 0x48b91e63882d57e5, 0x64d47e9672073ebb, 0x0bc4c6cbb16107e6,
0xfdc4061d5e34c8c6, 0x89f8c2f10c0a492e, 0xb1ae3535e2e81b23, 0x199aef7a8ba0633e,
0x9eea1f7d6e9eb3d9, 0x1ee5fdd29e2fb04c, 0xb2cfc080773b2382, 0x9c77da06576f817e,
0x2603a12c53ee968f, 0xe0c29056ad915f84, 0xb0b80a92453b4294, 0xf12288da4465ed5d,
0x05e6449fc4d591ba, 0x72642c50c1f353d4, 0xa3e75aac1bd91301, 0x5ea6875dc4945a6f,
0x4e8db7ce56ee10c5, 0x63d882bb454cac46, 0x7fae3c5c5cde9baf, 0x05a2ad4d91188440,
0x7739e9e364e430b8, 0x8b27483b3f72f77e, 0x7a84d9ff9da81d01, 0x7fe7a8f25a6507f6,
0x104a09d66ff8aec3, 0x221fccccee3bf002, 0x8f456c566864b491, 0x2a38bc19bba083e3,
0xca4df86ed7f6331d, 0xa915c2e70a21c466, 0x1b0a6310b07198f4, 0x880205f37b38db00,
0xabfd5dc088f28724, 0xb902944c8843a56f, 0xea21cd710b4b0941, 0xa08aedf5bdc929d6,
0x13fdca5dfad83c9b, 0x25be3d6caf6fb5c9, 0xce657651331f107f, 0xbb8fee7065e57110,
0xe5deef7727e9ea0d, 0x85a4e89986b1b846, 0x07055eff7acbc66e, 0x85f8c65f27b69203,
0x1d51cc06a246676b, 0x6da38092ae38a8b4, 0x347cdb985732cde8, 0x4626d721dd731972,
0xeafebbc5fb211c7c, 0x87b8470bf46d19ca, 0xbcbd4d982c98e52d, 0x33914aa83fe154c5,
0x8544d451754a6d58, 0xcfaf07cc2412f46b, 0x5ec12a7822086fdf, 0x04700feb313994f7,
0xc4f0313beeb0edf1, 0xfe7b5b03e1edf878, 0xc44e597dcee44416, 0xf6a4732fc93cb6c2,
0x70d20a4137d58e15, 0xb1ec5d5d9abb923b, 0xfce08de99a26e4f6, 0x3a651d5a87af493b,
0xec72cf6367eb6c89, 0x2c2a91d3a2244247, 0x0c06629cf90ce339, 0xd990235af69a95a7,
0x94c66316a1895e82, 0x643ede73df79d9e2, 0xe9a1b799a742e55b, 0xd3013304870339ac,
0x9a38898b6872ad4c, 0x1d8a6521f5a39304, 0xf11fb450b68f1874, 0xae6de3dc2407fdb6,
0xc831ba678cc7716b, 0x1abb10a06d30dd78, 0x32c9fd5a1984af48, 0x0774fb36a08321fb,
0x17eca8e7c1831760, 0x2d3058f5a8e11c20, 0x24e07ec632d50292, 0x07a60b2fc2bfc887,
0x8aca454fe34d5c6a, 0x1433b480d7346a6a, 0x0b8e726318d6b7be, 0xbf64250506fef9de,
0xfd52082d0dd17caf, 0xfaba2ef781cd6a7a, 0x42170fe9288c52b0, 0x7212bae00badbd14,
0x373943bcc9127baa, 0x06ac6ef6146dd0ac, 0xbe3349c937eed4a2, 0xed1c6046dc5416f4,
0x5eae655572e10bf1, 0x1351db63fb13efe9, 0x66e9dccb6b27bbab, 0x8095b4e20c66e765,
0x7a7cc44bb67d697b, 0x9c5892c5b383733b, 0x5e4acb76cef38e33, 0x9abfebea5de73782,
0x49b68c4b47b2cd98, 0xf15cb68197be9d40, 0x5e6f77d022d111ff, 0xc2bbf876c1f27342,
0x6f50665c0980d3e5, 0x83465806192f276a, 0xf3c54e0ddaabf129, 0x0b672acd1a1ea896,
0x8d1cec1cbebd9da6, 0x1a52837f5a372f01, 0x2faba87e32c2062c, 0x74a14286eb70ed23,
0x47918a2a0769603a, 0x4547f51b7fb424ae, 0xb33be6d28027942e, 0x8e44b22119dc78b0,
0x54f950241fec7316, 0x9246c6dbe38825c4, 0x3483b15a04262936, 0x563ca7bce7202412,
0x00ae5b00bcad778d, 0xa90c95a7afbfcc8a, 0xa586965961a78056, 0xc86d7ca2c6f20029,
0x1cbeafe9f9ecb985, 0xc076be90209c7e33, 0xae19068cd6d9f825, 0x886f507cc9eec63e,
0x97e563026294f8d8, 0x56dc8679b6a592ca, 0x8c6d4f3a5c878f1b, 0xa10da022f7bd8bdf,
0xb8fc5994d531d673, 0x90d6c11921577f88, 0xf17823fb973df077, 0x5067b9a780c2b4af,
0x69a32d12ef5410b4, 0x0e45276fb4b7a126, 0xc6e974204bbfe249, 0x572d95bc0cdcc601,
0xd09b0e69f0758cf4, 0x8eda90918d18b26c, 0x6a0e4f119e5dab83, 0x6c58e5dad45ca8fd,
0x3d5cbe91ef0adff4, 0x225784ec557eb6ae, 0x4d5a0c9bc888b68e, 0x47f3fd705131fb28,
0x2e7b6fc01f5f1ff2, 0xaf8957acc909a0bb, 0xed49ddafcbf79b6f, 0xca89d0432a68bfab,
0x7f4fd500fd5dc725, 0xd029e34f012ff05e, 0xaa43c4a0cbf2d862, 0x0dd9c348c4a10af5,
0xf3bb564a13990178, 0x61cd5392089fe43d, 0x064b2b9ec49f6376, 0x7a77053e241cf322,
0x0b0bab12bdf3e0c2, 0x266c4ac6c7b9fe69, 0x442ae1889137211c, 0xf23dece399bd36c0,
0xd172bd1e5633899d, 0x70950cfa8c8d4b6d, 0xfba42c430cf138dc, 0x646fc4021f2c7d91,
0x7fa825edef3a9667, 0x4ebfc87c386f3a37, 0xe41f57cba74fd040, 0x5e8b0f3c6fb5df91,
0x27d4be4c2be3b874, 0x623a2e90a791a3ca, 0xff1b644bf8e0fd91, 0x50817140186def61,
0x0883ad49f5e4196b, 0xc79625d083449f59, 0xdba819843a5296c8, 0xfda3c04733d456f2,
0xbd3899cc21144b45, 0x688fc6e4964183c8, 0xaf02290f6ecbe50d, 0xeb11a01b5fd41e5d,
0x6522873bb28b527c, 0x6ef8c0b10f97aead, 0x5c3ebc27407850eb, 0xa1fd513b2e3ef020,
0xe14d489a06a49bba, 0x1fd2a8a1bc1d81f7, 0xfca58cd4ed95a112, 0xf02cdf9df724aff4,
0x729b5217df995cbc, 0x590c118548cbe445, 0xba85bcc5e6f03f72, 0x8d519f8a82458e9c,
0x137dfa0262d2dc0a, 0x366c3ff3266b9d8b, 0xa40d53a0e14b4c8e, 0x3cdb908bec30b72d,
0x85217ea75d29bb86, 0x831252473c340533, 0xb7413eb2333b4655, 0xc7e2f0bd5bbefbfd,
0x75f2bc68d5eca377, 0x3f76ce965180f95d, 0x744307274250190d, 0x9b71e67608a0db0c,
0xf6587e89b22eb31c, 0x5cd1d79551cccba7, 0x0cae07b81be35ad8, 0x7cf57ddb13b8a35c,
0xe080bfef828ad648, 0x25c495491887efa4, 0x8f0ab2d3735f106b, 0xb79480ed1cb74039,
0x1beed6bdb4fe45e9, 0x73e21cc0af3b6527, 0x74972fba1628207a, 0xdac8bdbf762bc34b,
0x1f67156057b93027, 0x1f7d9ae945c351c1, 0xeee82e575dcef68f, 0x2e6e9afe066955ae,
0xf1b80f947a919f54, 0xc7cac7e9ea0deda2, 0x01b90ba9287df438, 0x254345d52c896fa9,
0x4fd93a5c442b881d, 0x597ccc01d842569c, 0x8ef6d00892e39c44, 0xcb72872409e97a26,
0x94e62a1fe5f29368, 0xf40650bbfa1b916d, 0x6a9997aa13bffbf4, 0xd4eb2bc552fb90bd,
0x12ec524718bbc05e, 0x1a04b054139da5a2, 0x3a7411de644fe3f9, 0x85116ae61cb39ac6,
0x32d377f4f77a2adf, 0x2bbd9a82dbdc5fca, 0x3b403aeb6647a7aa, 0xb1242a7e1d54971a,
0x8a1a12ce640f536a, 0x84cc00462b2e9a05, 0x425bda357cc6b80b, 0xb79d2f30bd32f162,
0xd6d84aae9eaf237e, 0xedba93ab2686f5d6, 0xc3ae4c1be1332f21, 0xa62438304e19083e,
0xa67396573a33a04c, 0x01551985bb53d0d4, 0x8d34936482e27d4d, 0xd402537bd54c1a9b,
0x7156c31916a277e8, 0xf74e523cbe729c55, 0xe26a9d052770fa14, 0x8e69234fcb340f75,
0x81d3df4bdca859c0, 0x89bf13eeec7b420c, 0x65b053bae5a53d9d, 0x1a67e49172692fe9,
0x0f45280e81499413, 0xc51d0f0155760914, 0x0a5b252532e4ab49, 0x0a2dbbdfb738c5fa,
0xf74c88e8b66d9c8f, 0x38a582534e62b441, 0xf3dd3f3230a5908f, 0x39191a50a489823b,
0x88400571618a4fa5, 0x72525c9833876892, 0xdc9cf45181bcbe4f, 0x25dd68c151a9b9f9,
0x81822c3a0f8c122f, 0xf7f60d3887d0c3de, 0xdd31955783566f9d, 0xf36eb6b8f8426c34,
0xd984d34e1b023be5, 0x42fc4944ce9c6a53, 0x07d3c94ae15d36d6, 0x872305ce57b403f8,
0xc40441aa91af1357, 0x89704975bb11ed3a, 0x58a8d8a371fcd221, 0x07f2700ef9ac4c2e,
0x36a18f8297bfd4d4, 0xf1242a374307f169, 0xda186903ba4a6586, 0x7fee365f8f7a71e6,
0xaa1512a0322ac060, 0x845fac97497eefcc, 0x388a56b002461ba5, 0x1a12cc2c9a191065,
0xd64dcd6876b63d7a, 0x58287eca4eba17bc, 0x6ab5bd86c45f84d6, 0x238956db4225d442,
0x6e6d52642b1383b0, 0x5fc7aff410d71819, 0xf18194fb89ac8823, 0xff6e2ff25cb5a049,
0x255aaaeb81e47d09, 0x07532a160bf92e0f, 0x0c7f7b51f62de239, 0x15e9a0f3ee90da89,
0x595937bb8cb074ba, 0x70bcf22d0f3423e4, 0x66a30d62710e8367, 0x925f2734559f5d0a,
0x0f427ac20056a06c, 0x94f1d2dd9061f3d1, 0x35370d6ba793f72b, 0x1a177efe275108e1,
0x02808a69be95d5b4, 0x99bdb888d68204c3, 0x20ede4d884601290, 0xc29ee24e32bf260b,
0x6f4e51ee9373eb76, 0x91d710f82ba44dfd, 0x010c106fcfbd4c06, 0x86d7d5e841f4375f,
0xa75657b1f7c2e3a5, 0xa011de1a131a9851, 0x0a1b7c2086ce6760, 0xb32680d6582d6b69,
0xdbb6b14b8d826704, 0xd55ed88184e9be71, 0x379a238613b9a92c, 0x6f36257ba6a78708,
0x823af9f73afa8159, 0x4b609fbad69f1234, 0xaa0bb117ab301fc9, 0xcf0fe0055aeb6f54,
0xf729426bb380f099, 0x878519050169b573, 0x45c986af1c498099, 0xce4e0dc3a12b51bb,
0x82920776a5135fb6, 0x336f34c4f1aace7e, 0x9e4f738169518155, 0x39b7c9f32f575dd4,
0xc5735c782fbf8223, 0xea51cece535d0d15, 0xe472d99968a3cc94, 0xfff8033f3adac524,
0xa46b453910b0be8a, 0x7ef14fb4eac9a562, 0xa987d6a6d7178e21, 0xcca1d4455ca9c3ea,
0xfe6990bbbfe37f4d, 0x9d8837ead7cfceca, 0xcd5d5804efcaea7a, 0x5d72786dbe6ab8a6,
0xf1b0d2f1158638af, 0x5b79e508ed9e4f8e, 0xb307af9641e8779d, 0x1aecc0bbf5482d2b,
0x9de4d831ee050ff0, 0x4dff44d028f0e5c2, 0xd2735b010b7b4cd6, 0xb2fbc9e6fc5c272b,
0xfc80d65bdd52def7, 0x2143aa1f838ee365, 0x4192d91fa0481fe6, 0x706dc068d535e3c1,
0xf77a44ce6ab54d15, 0x4bd995e78c224550, 0x7769696268eff391, 0x1fdf16ae5aa64b85,
0x90af33ff6768ab0a, 0x6d2c3da47455e27d, 0x085cc726ab2d0bdc, 0x0f978107f6f51755,
0x3fed3f76c846379c, 0xbcb2f9f060cd8b08, 0x6c73cfd3640aba02, 0x4ddfd1986e18efad,
0xe5e2f79152d49baf, 0x3415efd12db9ea17, 0xdee5c7c8fa3144b9, 0x9138424a9548604a,
0x83f73b79cff747b7, 0xfef3c9808834cd05, 0xd9504e020f456baf, 0x74d1284ed6ab10a8,
0x98bd9d1af8d2356f, 0xe525efb0f0d4ecf8, 0xf3fb5de4cb3fed51, 0x9e7f6d9fce3b70a5,
0xfae98c1f96b97307, 0x00a801def0bde569, 0x2b6a1148b301159d, 0xa8c3f64882f4dea4,
0xbacad82ccef76184, 0x52d5d6a821732eea, 0xfc2ff309b92eb9dc, 0xbccd367e49083131,
0x66b794783fdb0f8e, 0xc2d820d1d492a582, 0xec37cad13dad924a, 0xacef598e41a999ff,
0xef518d3cda6bc7f4, 0x04d6e2872da2e7e9, 0x6d8b5dfa8957e78b, 0x6b29d5b66e122bb0,
0x6e1f4be77afd6623, 0x743c3707f3858573, 0xd40f6152f6c4e8ce, 0xb3c10b801bac7d72,
0x3ce6e3fed7d20eb2, 0x8e9fa1b72de70b40, 0xb5ec1b1c5dd29e8d, 0x8d6f178064892870,
0x93d654cf6063b59b, 0x9a121664f44af21b, 0xf353c6e144ccc5cb, 0xf548320b74c70ebf,
0x13fe62657d6fce64, 0x5170e60b78758e22, 0x1261a3afd4acc7d8, 0xa5deced974a2397c,
0x5eb98ad8bc64d5e9, 0xb90d438bdc1b9859, 0xc8605d2bf744812d, 0x5c0e98b7e0d20e0a,
0x550bf6348f8c4330, 0x3859a5cd209073c3, 0xdad955138b3a6bd7, 0xbb6322c076003df9,
0xfdff4477d2d5ded4, 0xb442cf00915c2740, 0xa071f2acb80639e8, 0x3ffe61d14d206519,
0x6bd82656b0701c7a, 0xd310f63801a783dd, 0x301b224c9311aee4, 0x9a408a07ffde6aad,
0xb106fd4bd2ded631, 0x3034de3c4c252161, 0x15ee40e3f3e14f00, 0x835e5de9a7e01f5c,
0xd379566157d5f104, 0x246da89d16b9934e, 0xb72fc03c12ba20d0, 0xd43f4f9f8e9fbaab,
0x1ee83c2386f38551, 0xca8c69e4f4a1300c, 0xac7ce7219648f61a, 0x64d5ea940163a06a,
0xd524518fc3024c5b, 0xa4e01c7b590b62ca, 0x4f371e72d2e67e4e, 0x559e18e77bb9c385,
0x0802931d7a61b9aa, 0x87430cfb9b406e32, 0x53bcd2b77c137eeb, 0x3c3f29c59d78bfa0,
0x1488ea2299a0c16c, 0x1b67ec24d1c23881, 0x401b68c41713671c, 0x03884fba97532717,
0x395155e749a570f0, 0x59d1b525242c5c60, 0xa387c0448894846d, 0x0e6f2ebcc795c726,
0x0281c8e35c14099d, 0xe6f13ef226874322, 0xe2db24ac4523cf64, 0x7c39fec0d5ee32b9,
0xe4066008ba725cc9, 0xfbe6d527a8e3f0ad, 0x8d3ddb07faab1f10, 0x41d07f91e53b24c8,
0x16270b7efec4c76f, 0x0c637d63c0514ab5, 0xdabb68bc780bf0c6, 0x26e40c9efa148830,
0x0dc02761d306c500, 0x87234baa133165aa, 0x6a1f4a09c9a2cb21, 0xeed87e5684a9332e,
0x207941e4ae3c5cba, 0xf7029d43fa3dab28, 0xbcd5661eaaf151a1, 0xde71efef4854dbbb,
0x7097a48b6369c877, 0x84504d96f09773de, 0x781d554ca4eefd73, 0x9f90b15c76996be9,
0x3cb11140412cd42c, 0xce9542b523eda067, 0x0473019dd214aeb1, 0xbd4bde9d7bdda27f,
0xfd67e71907f96410, 0xea2ed09261efd8db, 0x52cf94f287e3209a, 0x7740fd2c63f5dcfe,
0x8fd01dd7be5576ed, 0x09ac409ad55d8ee3, 0x94c124a6596e4465, 0x67505c07c0b5a8d9,
0xc9ae1cb21f3c90d6, 0x440e7ed19ee2f710, 0x3ea217f51eda3592, 0xf083632528cdb80b,
0x26c1c467dbec5679, 0x37c47d541631dd42, 0x4bf3ea283f9bffa3, 0x6dee2dd3b306f2ad,
0xc06a216062850c39, 0x47d2089da7357819, 0x8e8b629338e5e152, 0x2837bcb2562091be,
0xa239cafdfeee8f33, 0x73c7b224793be241, 0xfaf7a533fc90d7af, 0x4a16ca9517c8120c,
0x94f6c3da5e7019a0, 0x8bf0194fc37e1c23, 0x5b2992b83f28938e, 0xff72c2a0f75e6b40,
0x80383e172d67e512, 0x07f73796df794a8a, 0x25546c2f1726eca5, 0xe5cb191a66566231,
0x1234251e0ecb2d4a, 0xeff762c1b19b3190, 0x3dc580a41a845c4f, 0xd2f801965f73cdea,
0xf9b71118b3e240f2, 0xc0c2afaf351e5fdf, 0x8c1e22d426611894, 0xd74fced7e9f128b1,
0xbe1e10f33f23403c, 0xaff6a9579b1bcbef, 0xa7ab39abada2dd1c, 0x6a327f527feb3d3c,
0xea7c13879fcd5d92, 0xa3be11c2c79249c1, 0x534a3c1dcb413a07, 0x5413aef65c157047,
0x7632e3f187aff728, 0x092e3f72a5555ec9, 0x5d21cffb11658aeb, 0x552ebe4dfdbe7798,
0xb1ab16ee92c98ec7, 0x059c1a2f640eb003, 0x943930c73f90d599, 0x3593d1c9af168924,
0x8683ee6607005191, 0x24948f955f28f1b4, 0xf69bac73113fc911, 0x8efdba6546dc2eb7,
0xcf0839cd7ac348c9, 0x0b98a2d3c2555bb8, 0xb23067a0a8124614, 0x2fbf6cbdf113974f,
0xaba1121357b658f4, 0x080c55eae9a647d3, 0x49415854e654ec8d, 0xb983fb2b8d01efa7,
0x26b04c5ee68d8d74, 0x4a1c0499ce1fc48b, 0xdcbda5c00bfee0a6, 0xdb41bada10a48e4c,
0xf2ea7a18400ad131, 0xc44018a75b744731, 0xecd4b447fcd6fdc5, 0x86bef9e04d60e47f,
0x0e75df7a09d572a9, 0x0bfe42f84acf8a10, 0xcb67dccb0f1c00f2, 0x46d05bcb24fee1c6,
0x7ee1803861a504c3, 0xbc618d71d09e5db4, 0x47f1e5da06d87f7b, 0x641d8a27f1f9f431,
0x3cb5aae32466f0ec, 0xa02d3a5fff233538, 0x4f9cb3671cea8a23, 0xe8b10b3d7f69944b,
0x1b42331e241a32e2, 0xbeaca9961723b1b1, 0xc7f26bd2800cbed5, 0x1d62937f40d730c1,
0x694446061af804ad, 0x9172fb75d2f78122, 0x297ed99b697844f5, 0x60964079587f3ff5,
0x2a9d2521e5991458, 0xf3015c1a419a857f, 0x6e2d211729cfa8cf, 0x512b1972dc78cead,
0x4960b77bd97e2276, 0x959c13f93e9381c8, 0x456a1d79f4bc172d, 0x1fbc9cfd9d16322c,
0xc5776bdda7cf4e11, 0x1e3f7f64152a497e, 0x2a8bce59cc66a064, 0xb843dc70f3a6a43b,
0x456ba6d109d96250, 0xce8a401d1b900d0b, 0x0bb586909ea06350, 0x7152221c9cb1537d,
0x50e22a11f5d30b9a, 0x4350c3f15f488564, 0xd802baf8537f98b1, 0x572db9b49f9029e9,
0xaf00f8ea4bf9ba25, 0x0fc801d5257d3566, 0x9b898768be614f92, 0xdad7381a68467491,
0xe7f56c36b654e247, 0x7d192a43080643cb, 0xd372c8e421433007, 0x2043137ca90f3a9f,
0x307df50e51f45538, 0xd1f81a27f318ce30, 0xc1787fce99113738, 0xe4cacc5fd7867e40,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0xad8bc68ce031d616, 0x16888d8ee4003187, 0x44c0757f3bb8b600, 0x793fae7af0164245,
0x210cd042973f333b, 0x08666ff52dbd25f9, 0x65c5b129f5f7ad5d, 0xe03d7a8d19b3219a,
0xe0d98d04c44fcaa4, 0xf99439ee8752bcf9, 0xf5b9b6e8c71a0e10, 0x713f9fa797f986cc,
0x9a67c3986d98a43b, 0x484e8d2758a09283, 0x6d0952de13455120, 0xf9937540698be490,
0xc5b0fd8fe13eb912, 0xf512ce57673bcb32, 0x6e164408eb8f345f, 0xccc69dcd48c3cdd5,
0xf0c920e6e0afa3cc, 0xe842857399981e91, 0x48ad23d074346f66, 0x8fe410fe8bc07929,
0x023899bb9ea6a3f6, 0xe20fd0d565070c45, 0xbd15dddf6c80c013, 0x6ebca33ef486d172,
0x5906b47b84a9d6c8, 0x51682f2843d0c4f4, 0xc968add0f5e0c2a7, 0xa5cfb9d08a1967c5,
0x86d17d3b96e91b7f, 0xb6567758af97c825, 0xa87529701d98df45, 0xd9dc6e749df9d26d,
0x9d079949b4480750, 0x0338a928aa10fe48, 0xcf434b3d2afddb6c, 0xe3c1f5298dc39f10,
0x78e9a0846c4f6621, 0x3d274e75732ef3fe, 0x8cdb67d9e4366dcb, 0x930f3f5a6902449e,
0x7252041991d9679a, 0xcd60e915b231c490, 0x4da119217b6ec062, 0xdf1609130bc19e60,
0xbfa14d5f24823e15, 0x934a9377a9a12764, 0x557f263e69a1666c, 0x18ff26e261aa8846,
0xc134ace5dc841e80, 0x075865b1de84e3e4, 0x1e28a52e7e84ecba, 0x42f5a659c1d05dd6,
0x870d9541158c9176, 0x769f45e17527d450, 0xa74509d7328f6de2, 0x6bae6f172ae5297f,
0xbaece7117891400f, 0x191f2080e989523d, 0xe5bf7d9851a2c974, 0x507c65e03b7de2d6,
0x93dff2dee8f46ca7, 0xe4767a2b717d4b12, 0x8645aa11aab86959, 0x1b0e754dfcebd22a,
0xb8b0221a346522c8, 0xdb1334e2f2425854, 0xaa074f9bc5144ad8, 0xfc418dd2d8ac14fb,
0x59f9668458f26776, 0xc1985681d89bf549, 0xfbeac674878c3f08, 0x8d6ff97eb9f16443,
0x8b61657c91ae5545, 0x059dd8a912f861cf, 0xda62378dbeb83d03, 0x9af0fa2861888892,
0x4f2d40859a0076f1, 0x21cc77c9a754fe8c, 0x6a32db7dfb459ef5, 0x1ce4edcaa2855f23,
0xb261e2a233654ee6, 0x6ba0441d353dec43, 0x8e669cfc18ae9f3d, 0x03efdcc14f0181d9,
0xe13ce19d8f16a473, 0x1ac01ae30accd9ec, 0x46496b50a607e9f0, 0xef63affc7b636211,
0xcc86e37c8bcacb41, 0xfe74cb479a38d888, 0xaafe0aade7d6f3f4, 0x21c8ca1917d1a4f4,
0x0b15de89b65b39d0, 0x03a0f7294e38bec0, 0x1d791616a7cc9625, 0x405f3612f5c91abc,
0x2d7c7b5b0c8d001b, 0xace57829fcbbdb16, 0x9bae7a0e2a85d001, 0x931d1002fdd010d3,
0x5c3802feaccac564, 0xaf21c8242cc36942, 0xa753592d67660b38, 0x3d8d776f81851f57,
0xf6a6521f0f22bdc2, 0x29b399ca9fa723ff, 0xd81b74c1bc4bac45, 0x5cd3d2a38e220c05,
0x037f9aed755146f7, 0x8e5ad27d824a8b9d, 0xfed8715a9d32a3c4, 0xd89fa46c4af1623f,
0xc1fe24754e9175dc, 0x1063cdbae163e8b3, 0x7ba01f134500caa9, 0x06179734b0e5ac8a,
0x7249439236b0df30, 0xef2d9625c7b9e3bb, 0x971cea093b4ae42d, 0xab05d3e2133af6f3,
0x625b6a5cad0ea260, 0x820ae79552d27add, 0xf2e97f663b17d5f8, 0x39506e1c3fc013b7,
0x191f324163cda313, 0x9f2c0bd8e38193a4, 0xb94e3e059cc12b5e, 0xd6fbb8a180999f20,
0xc37df2f0690eb305, 0xc823d9bf21849579, 0x268eab19769f0e8f, 0xdcf93ea059620f4b,
0x8e8869a8a78eedef, 0x11957cd8d173b5cc, 0x0a349326b5f1b856, 0xa81bff5757a5bdc1,
0xb9560179f44ae2cc, 0xba90572797b35863, 0xf0209d906ae871c4, 0xcd8ed6da40fb6bca,
0x72456cd3cd2b7c8d, 0xbfd522396c8afc1a, 0xd66265e4366a02e1, 0xdecd0077e670e8fc,
0xc08896c3391d9745, 0x6c80ae0f13b4a431, 0xc1fa6cfb400bd57a, 0xedb88922879c63fc,
0x6ef6b77820fa3f63, 0xca311016bf65a345, 0x95e6a68042d8b988, 0xa2e9404ee478a29e,
0xc7e323de9fea4709, 0x4b3982d7fe4b6995, 0x4164ba666304cf04, 0x95f63593b70010ee,
0x1825c0737e7696f9, 0xdc16f46922949f9f, 0x0816da250604c637, 0xf92ad91faa10194b,
0xef048d890f461c33, 0xedc5164f3c020c34, 0x79d0fb8ae2cfeeca, 0x8abb4ef43d8100cb,
0x9ebd569148bd4cab, 0xbb918e4bfb053e38, 0xa751f211bc4cd877, 0x8b04d897be741a0d,
0x80764af4bcbbb271, 0x99008678ff5788b9, 0xc8c7841e7a08c504, 0x2148f446482e76fb,
0x436d727584079a9d, 0x1b5e228a73e325dc, 0xbd2534706156a568, 0x07c11faff2ea99cb,
0x61781e958be19b01, 0x03d384aa323790d9, 0xcfd9b8311a8fec96, 0x36eeaeb0fd58adca,
0xb0ee8e87939c0dc0, 0xfbbe1111ac50cbf0, 0xb73663a5c09328e8, 0x3479b3c2b9b83324,
0x47ea9590bdfc6a52, 0x215b1a58397a980d, 0xb960b40e4d453d6e, 0x48f8036f37a5f313,
0x4acb94f16c968f93, 0xd28ebeb00cbdb595, 0x835f9af487184cc5, 0xc68ac73d514f66e9,
0xeddc70db04724292, 0x1f14683248943b06, 0x0e46637d4357bfdf, 0xf529abf54245f486,
0x57cea528a94e7085, 0x27184a175b192fad, 0x7295d93cb6ab4615, 0x97074eeb2fdfefde,
0x7dc7c36053661a5e, 0xbcbb863815ffaf57, 0xa836b132b417d9b9, 0xfaf8f382e81f47b0,
0xaf1380ffeb9a66b2, 0x78ca5acd02c0025b, 0x06121e5380c216a9, 0x0f20aeb213cf6976,
0x9444e52ff201a5ba, 0x124e01e767777ce4, 0x6f7f84e409cfa0e5, 0xd0a914edb7831260,
0x92657616096c1bd5, 0xa2f1edeaf3218fc0, 0x1d2f23410b1b99f0, 0x006b688790c68464,
0x48262de13a1f9e17, 0xb1257e94ce377cf5, 0xb32132b862293f74, 0xa885444e6d9788f5,
0x47f46d5e29bd1f46, 0x6b35ddd815e0614b, 0x4dd2adf4dec20404, 0xa61fcddb8aca9021,
0xd18f376e7f0c6e22, 0x49c0de42986bc333, 0xcf58c053772fcc75, 0xce7467d3036697ab,
0xff8cf62d701b3740, 0x4812908ffa6193c9, 0x511af45040e6d04c, 0xe27a49b05469cd2e,
0x65a40175a5f675b4, 0x113634eb76ca0920, 0xab7c35edb3d83a85, 0x42b97f246360e041,
0xec46f227e51d0264, 0x6d89de8ac4065de3, 0x9694f16073fc54a0, 0x18319970f67c715e,
0x3c30e74aa69e1d76, 0xbe3abf39d7943514, 0x1823f8168e5fba40, 0x9f81041c6754eaed,
0x91e35b0beae11188, 0x522f53d831fdba2c, 0x08b03697abc449c0, 0x5c3932444df85d1d,
0xc61faa71a5a4886f, 0xbe9adec82d320086, 0x7cf8c37c7f510fc9, 0xe90d874d5a24100f,
0xba9a1b32028e4856, 0x1ef41a9042a73f31, 0x99f0a584d3da9a2a, 0x4204dc9a785c4bd3,
0x2eed1db8a6d24b4d, 0xa047dc4d25f9009a, 0x97d1f744bc68ce6f, 0x980bb2d27ce06fcc,
0x259c137f5642dda6, 0xb947348b80db5caa, 0x624b4a5f435e7574, 0xea02bb4c5aed06ee,
0x4b03746f59e42106, 0x5523879bb7572b55, 0xc7572f70a70f3781, 0xd884d71c8dfc0f02,
0xa158d1080140ae6e, 0x9528770b139a9263, 0x585e169ae1e92db4, 0xd924489320d810c2,
0x09388fb6b783b910, 0x50373d28896b92e1, 0xbacd0a0c6667f018, 0xe1e02acd2f28685c,
0x60b54c1ad833d9f3, 0x31eee6f40afd126c, 0x0ee768cec793cb04, 0xed40050d5aa849c0,
0xd6f44aa739a4e55a, 0xb01e72322b243c91, 0xd2918a7e36bdec80, 0x579d876e0a74ec33,
0x66f115b3f97ae770, 0xa61d42657348d631, 0x3fa2b248a7f25789, 0x24235d1d1e7cb0fb,
0x027a9c67959777d1, 0xbd000c805dda2d7b, 0xe1e5799a19603cb6, 0xf70b93c568893ccb,
0x81eb233bcc3af284, 0xd2f0b28c41338818, 0xae50af1f82d93202, 0x764428fb4bf481ea,
0x934b2918e0dd3951, 0x37cc7248aa9286b7, 0x8c4c4da9a19fe021, 0xdfb1d156fc1c3358,
0x802ed9b76fea0968, 0x2602ad628b498333, 0x3ca12fc3e172190a, 0x981247e38983901b,
0xa456846a3713a0a9, 0x4bf8b9c069f118a5, 0x4976bfe5352ba8e7, 0xe73f3efc3f9ef9ab,
0xec19dd6cdd423bfa, 0xd2cef2c12552fc65, 0xb4e2f036e4add7dc, 0x1ca87755c6db3231,
0x7fbd7cbce56acc93, 0x960d4b4ab8959775, 0xa7398542d36068b4, 0xd7040b66fd0057d7,
0xb41b2b776c0234dc, 0x00b8ddbe778c18c6, 0x6b5e43944ecf68f5, 0x043b6b7ccf259465,
0xc992b3653201d6c0, 0x0dc80b5d845567fd, 0x17a054fbe99a4489, 0xde87f6b1c38f83ee,
0x36b3d2b536dfb35a, 0x2d15ba37444a5596, 0xa3afa817eeeb111f, 0xe5ab367506dede69,
0x6d4f2ae42e147a5f, 0x5133df19dffe067c, 0xc459088e06c4b37c, 0xe0f149c9cc380b4a,
0x9e32e4e2e7e7d0ac, 0x7709ec21db32156f, 0xfcb636cafa34624d, 0x5a14e436e1000c72,
0x19975d2bd3d5e206, 0xa95f63a7e82068bf, 0x6373566711af4fd1, 0x052c972732b53592,
0x1f20ab824f02fcf1, 0x2b169e6a8a8684df, 0x27388136ea2662ef, 0x56aec80cbb5c0e06,
0x8f52e5c931b8f736, 0x416caaeadbf1d56c, 0xfe2aa53c41581446, 0xd549a265ec64decc,
0x3df3a3e78869081d, 0x1d9cf882c23f01e7, 0xd720eacc96fd81c9, 0x125c052ef30e0f67,
0x0270dbc43d1dbccb, 0xd07ab6d7177da3fd, 0x1072ccda35e696b8, 0xd4210ac66eb921d5,
0x14c622910a017dea, 0x8c703e672b73d136, 0x4942a8e05cf6d5c0, 0xc72f661479bf185b,
0xd5e5391a1ce19300, 0x0c8b5a12ed183891, 0x66645fd0ea45f259, 0xf30647ba7010d636,
0xf75f5f4a2b1c94b7, 0x13391d4b9fd4798f, 0xf947a6b8800e5af2, 0x8af76f7fd5576751,
0x0343e4b0a9852c2c, 0x0d5fc25728852d0b, 0xead2c5d671a91e35, 0x7f02275863b5d10d,
0x2b45395f8ce30452, 0x1dc8f0ab1c9c564b, 0x55684629f1770b59, 0x4627cba9cad4037e,
0x2d97f53b8f497527, 0xd5a6c8c83f899451, 0x8961977fc3c651b4, 0x6d792a973d645dda,
0x9062e41e207eb827, 0x67968b238c32b264, 0x59928bdff804eb7a, 0x2cca31672d9f17af,
0x647e9d4da66ca99d, 0x9ebb6fac229b0340, 0x84b634f9f8bde3d2, 0xf68ba53aeb7b9f51,
0x415d44b181557d97, 0x596797b8e464be37, 0x44938d128fa8ccd7, 0xf5cf473d1f61e4ae,
0x9830dc9a384c3d65, 0xe363c2d278cc4bff, 0x5e8c02ef5550ac53, 0xb9e2e955a90a0f59,
0xcdb368765853fc03, 0x142ac6ad816f1d5d, 0xd3b729517d50130f, 0xbb5b0d2f4c167b11,
0x0837a92ac2069d9b, 0xc392729c7f788596, 0x5c1a24a2a79191df, 0xa1d7d3f974c93d3e,
0x596365646f44c7b6, 0x4115f27372425ba0, 0x0cf7ec0c4a28b2f3, 0x00431bcee95314f0,
0x1ee7e74940765d87, 0x68850b73062be66d, 0x4b0a1761b7f7a66d, 0x2a1ecb67c725d90d,
0x44eeca98805bf112, 0x7c615b2923d661bd, 0x23924b532509e387, 0xfe0f3b3629fa3e9f,
0x72e77e5f02f75116, 0x6eed54e4f9952cd1, 0xc946db9f3d82172a, 0x6caac55e98fca10d,
0xa86e7cbbd4a4e429, 0x95faa7b647e709d2, 0xba5e19a694e9eb16, 0x2f4f6b22afeadd03,
0xb48e925f1af02b65, 0x578e3c423bce8be6, 0x82256d2edf79d6da, 0x62e180765b54012e,
0x661bd7992681bb8a, 0x0526128540824191, 0x7a7d279ecd4720f3, 0xbc0c263b22256981,
0x3f406ce2a77e381e, 0x496e92879b9a78a5, 0x4002487382b384d5, 0xebd513c7a9dbc170,
0x5af0df1289d0e48f, 0xc851cf5cbc4ce0b9, 0xb039e21b260def5a, 0xdb915088bae00294,
0x90a875849f005fd0, 0x216e2fac1c859da7, 0x95b7031f134469dd, 0x660c5100a280d466,
0x504ba3af9bcf6cd9, 0xb57b2c794654164f, 0x00c5ae5b818acbc3, 0x98e283c39b38ed6a,
0x134cb409cef51d13, 0x772bc6983458f2d4, 0xe5999bb11fd45f26, 0x01893928027e4cbf,
0xc20aee9edbc83df3, 0x676f4b2caa556f49, 0xaa87d88fb2dafffc, 0x9dff1c74fcca5623,
0xd84eba8cffba03d4, 0xdc003a3bac5c49a8, 0xd77811a9fd7f69fd, 0xb31593ad280c6f0f,
0x31c2d67670be6936, 0x52822e373d880148, 0xc161f514d9209431, 0x5679c20a803d5df0,
0x53f06d16bf3d188d, 0x06c08f0b862ae58c, 0xd4aa960d534bf0fe, 0x84d452bfd4d1caf5,
0xfa40006321382333, 0x286388ea172b96ae, 0x24eec962b7911486, 0xfaf78faf90150a68,
0x9c0cf33db4113808, 0x761b7a94ea344ea5, 0x9f95abbaf774dac6, 0x572bc6d43c9c7e4b,
0x54a89ff5e8f941fe, 0xc0fedfd448b0198b, 0xa9c3f21bf0cbdd96, 0x82efd318bfcffe6d,
0x055db5dc6be3be75, 0xd157cc8249d8d28c, 0x6429d4902cce3fe3, 0xb7559d1000b3a9e6,
0x7358db9ac82b1e00, 0x52c983b6da12029b, 0x33feab193ce08b26, 0xa42a05d86c60246e,
0xeb4e817547ca65d3, 0x10741b657eed1773, 0x96d65bb9125f95c3, 0xa0ee0469fe77b14a,
0x6dda3d8c1d0875af, 0xe5520eccf49b85f5, 0xfaebc73b9e83f56b, 0xa63b277bd28a2489,
0x33a76ce9f7b33c2a, 0x73aa71ad66ad532f, 0xdc08c5325792bffb, 0x8d16c863c37ae721,
0x947c7690d47e706f, 0x1b2d1a8433ec72b5, 0x3e0e28c490e364f5, 0xf44aaa572092af6a,
0xcdfe7fd6d7b2427b, 0xcf85e74409db9efe, 0x140c309240d11c22, 0xf274d6098b1b8ecb,
0x11216b3eb0ca9d68, 0x8e4fb722e1b82d7b, 0xb68c828a981d087d, 0x5cd379c71a770be9,
0x212e322f5552af36, 0xe41877e8135862de, 0xdd95fd498a65861c, 0x2fe79c930e2bf1be,
0x6bb58ead5208e88b, 0x84bb2ea8ff4ba5e4, 0x045bde9b3da4f5dd, 0xb3c080baa26576a9,
0xa51be0cd90dad08e, 0xbd5a1df5166cfb5a, 0x6807231c14297d62, 0x326b3ba573a3a7c0,
0x7ada34558b345c98, 0x8da1a70b3c91d7ff, 0xa576bcea83daeed7, 0x8af65985a3e4a39c,
0x04780f77127c0d9b, 0x2fdf5e19f86bee48, 0xd2c8fa482c3d3980, 0x9fce9d031f9fe625,
0xc06934d908203598, 0x278aa815d2f04a87, 0xeedc89c3b72cef0a, 0x94efd5c0f0990ca5,
0xcc309fa90e373da9, 0x719748c91f73c72c, 0x56836802b043a589, 0x67c3c26d885609cc,
0x5ca6a547d73a6d54, 0x0716b5cb4b763b4d, 0x58f41f6d24e53eea, 0x40b1417a73fa9b24,
0xf0fbd86da3cc638e, 0xf4ee73920d5b697e, 0x695a260fc195f439, 0x98879f92c0378921,
0x8eae6a15ff2c7042, 0x5587d772bb83194f, 0xda0bd09a839c0460, 0x4583cbb276c1fbf5,
0xfe60f4e2b090b65f, 0xd5017c68bef1558a, 0xed413f19061e1245, 0x7221a8b4d87f8e58,
0x5383d8b7c376cb31, 0xf0d901e229b86680, 0xd9c934ff118cabbe, 0xfb32d7a16b2abafb,
0xe0f5036303b629e3, 0xe0ae0818dc0fb75c, 0xe4eea3431935c676, 0x1205a565da0786f8,
0x808382b0b9bfde29, 0xf110e3e298971c57, 0x2c12e65e5c359f44, 0x750f21db8dc849e0,
0xa6036536df854af6, 0xf5096a448d108c7c, 0xdf91f300d48a2133, 0x88b0876fbaefb5c6,
0x22973f2784cf620d, 0x5f3bfe4a0b197417, 0x3b6fc0e1543118da, 0x94ff4f25472baa32,
0xeb2c2d9df5449cb1, 0x6e3f95a226ca9468, 0x9ef0e6ef443ad247, 0x42013a842d493fc1,
0xcd0e2dd5f5f1e47e, 0xc4ac44ce934a7606, 0x8cce1ef7b72e1661, 0x1e2090bf5284d333,
0x02bd7bb6d5d3108e, 0x663042c8f7884df5, 0x81acb949cb0009ba, 0xdad17497d48f86f1,
0xebe8c481d34f156c, 0x99335e8f78a6c0e9, 0x11d4c662ad95fe2a, 0xa69f6ff236ec2d3d,
0x588bd689a4995927, 0xa95eb190bc4ef82d, 0xbe029150cab44569, 0x419b5cdd35d217c0,
0x66e45390ef0a21d7, 0xe0fe295db23dfcf2, 0x514b122a536563ed, 0xcf1cbfa50828d353,
0xcb2fed5c50464661, 0x1724e8268c696a1a, 0x5645f53e0db58b90, 0xeed3f47bb83a3190,
0x860b49f7a0737f36, 0x2ec8c337654f18a0, 0xe07f01e61fdd13cf, 0x7e3e2d46d86472b7,
0x9bb6cc0992bbba91, 0xda45841774b93f91, 0x6ca92e4c7e7fc8ec, 0x0499187cb0958c77,
0xa2a4d0b22e7eb061, 0xab73cb0b3fd65ad1, 0x2ca185e3167271a9, 0xadcb19066ee85f31,
0x0765fc451543a137, 0x9d39f713d2e4dc9d, 0x2b87b6287716a6ff, 0x55e150ecc40fcb1c,
0xa56a62692372f042, 0xa044dbbe8c82a4cc, 0xb3d27452cc341b39, 0xa308233beb7e33c0,
0xcf19a57901481ab5, 0x23867e0f96854bc1, 0x6f1da8842dd26999, 0x3c3a6042c375f9df,
0xa66949b5f2abac01, 0xf5300524d83b9ba5, 0x73be8b3ad663f6b1, 0xd65d774e0ee07de2,
0x57a7d7d0efdc36f6, 0x3f94831eb87e8e32, 0xa8ddd8a004c38936, 0x4202544447480294,
0xcb76473a4ba3482e, 0xa597a56d1ec3df7b, 0x3aa241f6bafb75d1, 0x4336cf805669782d,
0x123f3f62d5dda8c0, 0x656ce3d7ff630946, 0x8d398514fa96d663, 0xd07b57fb3fde1cad,
0x028aed43d73bfb55, 0xc7d42c07b12c1c92, 0x88c91c0cf517df79, 0xc206369595cc4802,
0x4828c60bf1613a12, 0x1b557465a9699f9d, 0xa39c8e842d8c8632, 0x59356131f19d62ed,
0x1f999eab87c8d648, 0x551dc01264170f3f, 0xba7c75ad4e0e997e, 0xdfbf5763c418f1cf,
0xacb6ba72b92c4c0b, 0xa701a9ff921d878e, 0x5d4290df833d54bd, 0xf67588f723d8b368,
0x815e3eb30ff43292, 0x3b6b61223569d20b, 0x8edb036030e40034, 0x3804384da0da7346,
0xb72ae0ff3f91c51d, 0xf1e7955f14121458, 0x84b0dffb02a38d5e, 0x2a538b2ebfd25a74,
0x2ea2cc4b0317de28, 0xc3426c050e51b31f, 0xdcd9c0969f9863df, 0x10bbae42ee46577c,
0x652c0e21b4e198f7, 0x5a5e26415dbfb4ec, 0x361b6a27ee5bac4f, 0x527c5a34450666d8,
0x2628bc6d0f2af7f7, 0xc69185f49bb3b14c, 0xe7b7ea7422ccac07, 0xebf9f0934bdfd6b1,
0xbb0c28b52a166e10, 0xd43c310b58bc085d, 0x49db070b995420a0, 0x12c4bb44b72b4c3a,
0xfd7990c5cfa76aa1, 0xefeb2ed084769e79, 0xf1f4ca6ceda6adc6, 0x217d0cc743227012,
0x9ee9506325a0bf19, 0xafb33245ec46f4b3, 0x9171c3e5713da8c2, 0x32065311ea3f3f5b,
0xb17af92889a84d36, 0x8bb41b3a81768e0a, 0x4b4a60e09c16dfce, 0x6f82165af73f76fe,
0xef28729cd3131be1, 0x2e2e6b3467ef084d, 0x034eba547990f823, 0xc7e9ff1731b0face,
0xbfd2cbcd881602ad, 0xe6515e43ae8fec21, 0x193365c6787acd9c, 0x34d09409aa93c5cd,
0xe7ac515c76670d81, 0x1155a946a38b0178, 0x0448ff9f5e5a175c, 0x1af998870fc39f41,
0xdd0f17b6b849e7a0, 0x044287276c664788, 0x4c35b4674eef9358, 0x4d9ecacd482a1946,
0xacfb090c2ca95b72, 0x0b2d9d9fc1404add, 0x3f56dfbde50e0478, 0x1e930fcc78a0d1a6,
0x6090bcb793adf6d5, 0x5bceb13646e5cb9a, 0xc37fb75ec42335ab, 0x247164ab0b2e88c1,
0x856ae1836d71fb54, 0xfa32f8960074a709, 0xb6053031639a0fda, 0x5db909b6a11f088f,
0xc6b333f265327961, 0x64aa39e7ee9e02be, 0xe5c435676b5aedc0, 0x38bbab7846288185,
0x3b3af4b084e93c21, 0xf9ba84cff5e4aab2, 0xfe7b8ab181cefe8c, 0x7970dc93a3abb53f,
0x83662e4927744e7b, 0x825fe03b9a39c1f6, 0xa05afbc2eb85b459, 0xec0d6a0eda7bac3b,
0x630e0b9a9e7e008f, 0xf162baf5a1de096a, 0x14c43cb8eea326dc, 0x0b1cce81a0f117fd,
0x5ed2783cba7d1fc7, 0x15698133c8343049, 0xe5e64e5b2accc011, 0xff1fa8847f3f321e,
0xd6c53b4f215db9b9, 0x37865188dc8871f6, 0x55918f66965e734e, 0x8cd0d6a2688b99c2,
0x1825c9a54a8514fa, 0x06ad2bd8f5c11b89, 0xc7980f347e2806f7, 0x7575451f3f3f0fb3,
0xd25afd14d64f2cda, 0x47c5774db2fc9014, 0xe3cf2b311f5fc1be, 0xbe613f1918577d15,
0xebbc1afbaf183651, 0x8e1fd7a7c86e8672, 0xb3551d30e3aca559, 0x2af0f7548a87b3df,
0xbe86a18f403d02d9, 0xbe7667739c710577, 0xf3ae8fc8dd1befc2, 0xcda11092ef0b8609,
0xc0a532d2d4f1f0bc, 0x438d0b24f3e6d3bb, 0x92641fbec03ae1b3, 0xad30feb4d3d29961,
0x5e04da55f5f1a227, 0x34c61cb61635808a, 0xbc97fb19484a326f, 0x2b0bc4ff2f23eab5,
0x798aae3d827bff80, 0xd1885e665da2621c, 0xf30d937c90320f25, 0x4d5ad66bf1b28a35,
0xed6a868c23ec404b, 0xe8042695fe29b19d, 0x07b03728e8ed6e81, 0x4427d1f371db1eeb,
0x4b84d0d54530ccd5, 0xee960ecc37b42fa7, 0x0a53fea51938ea2d, 0x9b1620ccd742d967,
0x0b01eaec56cc58b0, 0x775c2b6d99d128da, 0xe35df337a955f20b, 0x96ec13abe7e5cc1f,
0x5a6c1ee338c87984, 0xe129606ae99103b7, 0xef680a415460db66, 0x7f5293053ba27e72,
0xf638efad29a447c2, 0x3bec133c80241fca, 0x36515db203bd7793, 0xdb01c6b4c0155744,
0x2ba45d681117ed79, 0xe5e25d1e32c2e6a5, 0xf8ef6e90e36f98a3, 0xd45f066251de4cca,
0x43ceb28f4452539e, 0x8170acaed9cbfafd, 0x2d016ebb4448cf79, 0xf8528150e4ee0763,
0x673a7c1561a5aba1, 0x3278e4229586de9d, 0x67e3db5aa73cdf6d, 0xdb5a987c1d1ab41e,
0x6ebf8a10cbc2913b, 0x0c3bb0a4ca4ae5df, 0x21e5aa3e65736300, 0x6be3938b60f630a9,
0x6d53fedc3470fe29, 0x60485160f7f2c84a, 0xd599d230abbc9f26, 0xf3194a36f28ae487,
0xd1b54a66a34555e7, 0x3b24e4c77328bb0e, 0xdff3dde865908b7e, 0xba877ad12633a697,
0x1a73236cba236611, 0xc50e1c1338fdc6d2, 0x3e676c15ab5bacf8, 0x0a13a19241fc80df,
0x98b39a2da38de97b, 0xecff5a4f94d07f67, 0x502a193da0fe8a8a, 0xdcba794ad7cb47d7,
0x58ec84f47c4a94f1, 0xedcb97c2404c0a22, 0x4bb35b16bed2f825, 0x58085d4b92b66c3d,
0xf3fbebb14e87ab6d, 0x0cfac81a4d5b0675, 0xb986e8513ffc2451, 0x0c5bc57857b7026a,
0xd504e39688e8853b, 0x468e16d8d493c2a9, 0x446730d5fa67cce8, 0x8cc8c2791c14af9a,
0x95de43cf49c45409, 0x85280f7c319780ec, 0xa619fda30b6a4930, 0xb88b4f9004e84468,
0x8b1b1fba47fc6239, 0xf48df5305e64c312, 0x05ba6dc628306108, 0x226e27184d3c78c8,
0x7372d88d3015ad75, 0xdd1fb12c65cfd3df, 0xa0f6d036b40364a1, 0x7773aac7ca85180d,
0x0272f3538a8f42dd, 0x80db715bd1134cbf, 0xb710fefd2e74fbc9, 0x8563c90564c7353a,
0xe5baabd1cf1b8ec6, 0x10e8f1e06810f65f, 0x4b05dc2bc0370ef5, 0x6e78e87101d2c4d8,
0x6daa03b3b84c8cdb, 0x8255562694d15e69, 0x35516f8ae84b1823, 0x5fadde6dcca820b6,
0x89827d11b0129f76, 0x803bb1bb939615ba, 0x94449644695d491c, 0x62879d0a6c67d02f,
0x83921456d321eb63, 0x94de208245486925, 0x514682786c0242b5, 0xff4e0bc3e3465c44,
0x001eb9110f02970b, 0x9d360f599bae38ff, 0xdca594d4ce6a6df3, 0x25dd74b6db2252e8,
0x791cc122b538d11b, 0xdc475a2a188a8e6c, 0xac5414876828a3a7, 0x9384d2648fd8bb42,
0x9bd1ced03e8a9013, 0xb7e804c2b086596d, 0x537ee55721f8ac87, 0xc4c849855b10ce0b,
0x75ce9cc0422e4f19, 0x600366cee14d194a, 0x1556464a8608f8b5, 0x3f1c56d6092f32dd,
0xa024860f9f213420, 0x2dc5da2f9b3c7f89, 0x22f2d5f433e406f4, 0x0a80fcd6b13e8541,
0x288e07a2e2186e94, 0xa82804c33f92344f, 0xc11110a2cbead10c, 0x36bb0044cfdbf959,
0xe121b026364b0d77, 0x5248a4cea833d9d4, 0x21271c6ba7350b3b, 0xd29f31eccb510604,
0x57873f2d9604b8fa, 0x974a949bb0541e48, 0xe0ae231ee67d0870, 0x4ee35448c7362f9c,
0x126cad157654ff51, 0x1ccf52e4c4634434, 0x291710a5b54983e2, 0x44c3ff00c76576ce,
0xca0cd02f2e42ffea, 0x6d85405eeb23daa6, 0xbb313a2e755ff0f0, 0x953676d0a48fcae6,
0x39084f920edd856c, 0x087599fad019da46, 0x1ca7da072010fad9, 0x2c964d52914ed2ff,
0xd7905aa2f8fc6157, 0x6bf893fa451f8844, 0x9d388406f8112422, 0x711450f546fc6ee8,
0xb428b3ffa79db352, 0x4dc8d369ac4599ad, 0xe1d90ba6129bf63e, 0x2c7d57ab645b862c,
0xff30037b58b3d985, 0xeda9e62245f8cb34, 0x84a240366d02d6e4, 0xd995c2811d587334,
0x2705fefbb208958b, 0x0a7d125cd8a004aa, 0x7d305afd992a0111, 0xd667ea21b4cadab6,
0x88c4700949920f46, 0x59795a204dc41eae, 0x4b24ce02a24fac2b, 0xea454c6fbc3b1457,
0x09b004d5725aefb5, 0xd19793592a0fc855, 0x2e5b8dc2d557c990, 0x8e3405542277c423,
0x83a0804974c0842c, 0xc7edb27fe946d380, 0x120b645f99c87dd2, 0x52644cd25dbf0b69,
0x2fc2bdf0c6fb3393, 0xff874e321641ce96, 0x2f03c261d8510302, 0xaa8941b91888fc8d,
0xd5e1b83119e35d3e, 0x49a459b8e91f0e3f, 0x8b36de1c045386fd, 0x6c1a7bbeb803f2bf,
0xac3696f05e24d9b9, 0xd56c41879e52a0a8, 0xf1188c1c5d640e4e, 0x70f6b11ebce4c7cb,
0x5eacef67cf1ce2a7, 0x0cc7933561adac50, 0xfe7dc27823ccefe5, 0xd381e0a3b1ba6682,
0x84b57bee78dae1c2, 0x49f9312c092803fc, 0x632a029375baba94, 0x03affd661a6415fd,
0x7ffe21dd89984ccb, 0xc23919d46bbb0f66, 0x93f149875f525ab7, 0x3f7a99bf356764b3,
0xf30dcec0978be581, 0x372a8b6b270286ef, 0xf9b92a3d25679768, 0xcc6124949183090f,
0x0bd22be8d1d110c4, 0x68f5d5297dbc876a, 0x5c61049caead8d6d, 0x0583700371020f27,
0xdb23f82f0d94a924, 0xc83a244b0d66658a, 0xf0721b693f685cf5, 0xbd99742d09d9a1e9,
0x8ce83c7ff91d8877, 0x9c00ad5e4899872c, 0x7a9ce66c977b536e, 0x75005368c68334d3,
0xeb1c6260de15a27f, 0x40aae370f0f5b1b3, 0xb84e3670acb3add9, 0x525edffa86187c78,
0x758ba461594b6f0f, 0xc6d6f9c6d394e553, 0xf651cfc061361a39, 0xe11be7a5e7b291f6,
0xb9b93ef86b643a01, 0x4d6bd93757908c49, 0x767754b9b6ce6c8b, 0x9be6f441e1bb0192,
0x5a38abb5a5d848f2, 0x486c6a23974ae781, 0xb328508ba7307455, 0x7d9ce9c86b03ea7e,
0x03bb58e6bdfa39d6, 0xfd20b608c59dfec5, 0x581c9daa35477b59, 0xfdd477c393dd8830,
0x60aecdbdf34a5271, 0x4933253867cb51bd, 0x114ddd56b20e015c, 0xa8ee8ac24d4eaabc,
0x1541495c64bf3bd6, 0x265c15e7bae82684, 0x10a6103349cd7723, 0xcf99d8469e6d2937,
0xd157ff74e147db1f, 0x12b2d9ad340d0e35, 0x485142e395af3f5a, 0xc873c8c19b0a085f,
0x976f607d11961faf, 0x3c44ccffb04e6c1c, 0xa3a8d7462123b8f9, 0x3b35fe642cba0482,
0x666fed4b4d03f9cb, 0x518e6a9db0f7a65b, 0x059759fe417e4ad7, 0xd30e9734359aa77c,
0xa763eb7b845b2c24, 0xaa07616ec1108086, 0x0b49c7da3890f553, 0xc1e46ce4e82e390d,
0x7a3bc2c88cd84737, 0x1647337316aa17fd, 0xdf7e7af50ad76557, 0x096fe7b29faa33d2,
0x52debf3c9fac977a, 0xdb1cc3d929b56bb5, 0xc4fbd2fef8a00ce7, 0xcdb4f656b768aaa8,
0x1bf02c90e4574541, 0xb6872d129f6f0a57, 0x9ae23b95316671c7, 0xde22caf792ff7099,
0xc61644e8b95f0c8f, 0x6eb676237d5673d4, 0x3d478b893bf4aaaa, 0x04c381d407510043,
0xc26a456a19076a6c, 0xb0516879ba1f99ab, 0x9dbd57aa34f1842c, 0xe42ad2d58cb5589b,
0xb9c5d97cca386925, 0x053c7be2b7358ba3, 0x49c3b14c0b8d318b, 0xe1d48901d0c8ca55,
0xccf46702aa8f4cc6, 0xff9d22b54eb3ed9d, 0x57c550ecb4d4a63a, 0x3ea67ef30102b03c,
0x11b3996f6df40987, 0x3db9e0131e7c88b7, 0xf2e8675174439d60, 0xd1d82795d81adc48,
0xf1e745c4e45c0029, 0xea97ed9e69d0e9d4, 0xa3a5a5685bfc1f94, 0x16438c326caf5e44,
0x9ba950d62e00cdf1, 0x84f21b4ede6177ca, 0x0641db881a953f0c, 0x010765b3fc469da1,
0x658c2f0f84e0a5e4, 0x35de32d87bc7a595, 0xe6860706ad7a7430, 0xe0e58c2800595328,
0x5afab22a18fc3c4e, 0x951efdf5cd92e5e9, 0xf08bbb084bfed598, 0xc8864d6ec9331ca5,
0xa912a95ed9285f0c, 0xf127c60ce343bd86, 0xf6dd5a34fdbdef49, 0x735a23b9a57a5fff,
0x2baf471c81515ddb, 0xee3500e0532d6df4, 0xfe093f860f193143, 0xf6e9c62b5b347205,
0x51ca076f8b36d961, 0x5503ea9faf7c2917, 0x48d5cb93912880fe, 0x67944b5c28ad739c,
0x079f1973e99f18c5, 0x3892e1ed0ae8f3c1, 0x487eded21df64f9d, 0xf4536971aee2ddde,
0x8ce1bfd3d68ad04f, 0x786e5b62e53c46e0, 0x98bac7191444f53d, 0x66839dbab2c6d02b,
0x7c8bce319bb15e84, 0x2675b8e555f8af55, 0xe61fd18dc23b9d86, 0x1ed0ec1e61de209a,
0xf68a86bc64aeb2c9, 0x5ae5ae6b1972d6a7, 0x1531025fad24912d, 0x05eda620fb6a77ce,
0xbd70160d482d321d, 0x6b87c10c6910a764, 0xfdca6f279c438eb1, 0x8afd9cdd1e60adcf,
0x9702de073113eb68, 0xedf26d2ebc49a6ff, 0xa0c7aaf785faa386, 0x701723acf7e4300c,
0xa1f4fe88355e2f86, 0xc931578c32c7b4f5, 0x57e6c85a9eea7a78, 0xfdb7febb7084c1b1,
0x15b27578256d5710, 0x75df5a9f946389d2, 0x6a10786c27f60f67, 0xd13db34fc32cca10,
0x2ddd37827eb5e2cb, 0x4153e6262c799542, 0xbca50b3546f5162f, 0x8cfa17d08a59bf18,
0x76555e06f01fa2df, 0xf9b915a9b1c8cdc4, 0x6d7c7ef629a15f35, 0x659da55c6c53254e,
0x5779ffb3cb86887b, 0x807cc7f441b4b187, 0x008ce572e9e1ca5d, 0x9ab1cf7e050e2255,
0x38a06ee1a595643e, 0x24f7f022f39b7528, 0xada6a3005da8c730, 0x10eb7cd0a3f86b40,
0x632772584dafdb86, 0xab23c5ca2bc3c0c1, 0xeaba26809e095806, 0x75cc973b7e82dcc6,
0x59caf380e8699998, 0x38347a8bb5f3e007, 0xa1f4c243428dd443, 0x520c1afd2915aaf1,
0x731ed8e7507e9e12, 0x683c6d72461618bb, 0x0f761e848bbce97d, 0x890e7aa52d6e908c,
0x8a795b05ef1f4b21, 0x146f25796b7c0b6c, 0xa9db46dd8a0eed1f, 0x86176b1287061de4,
0x96cc303d723bd1f8, 0x8b77fea1d5d87212, 0x74d592acdba619f9, 0x2d51243334d9dd2a,
0x66a34394276e11ca, 0x7f9c203e8e62a3cb, 0xc4eb5a154d8514a9, 0xfc896dd3cc50a2ac,
0xbf0d7fd967da230c, 0xdf25506739d3c42a, 0x97871d8005f68e8d, 0xefcc7e6e7456285c,
0xdbe5ca6f2e123719, 0x20cbc8e38bc268bb, 0xd17d079abc4d7986, 0x5668ac37d32df205,
0xa047c0b5bcd21805, 0xb73f7e026d741cb2, 0x1bc6c2d2611696a3, 0x4fe69fed9f7056e1,
0x3c01109d7ab2ec7d, 0x83a40f93e8901b39, 0x87004ae5a176dd1f, 0x8b9ae7935207a7cf,
0x2c35bfdffb4e3c5d, 0x1ca5fa81c416e79e, 0xc96bbcde55b79ccb, 0x4b5dbc610429081c,
0x5da5a050c67b8c89, 0x12f4468a10d7aa16, 0xbbba2ddae73f1330, 0x24de15d7fe7d64d1,
0x55d32d5f59ac4032, 0x8ad2de93498c9c22, 0x15097bca5e06c066, 0xa1c41297956f998f,
0x24585f555ddca960, 0x26a9a02e79ff6d01, 0x29974316af6cd918, 0x8f0c4e124227e62a,
0xc06837915350aba4, 0xdc61db2b0feb4690, 0x6762534cca16def6, 0x844ce6d7d93804e1,
0x1531677b40dfca94, 0x463b1052a9120281, 0x82021d8457aedc1e, 0xefd1d5d5a714aa55,
0x988abd81956603d5, 0x8bba91a1b8b66aba, 0xc0c7179ee212a7b0, 0xa1b368cecedcc421,
0xa107b55e2e15deb2, 0x89a8653d8070c4b2, 0x27a00795381198d1, 0xe842780d7cf406d6,
0xa05af3d6f2ae3110, 0x874a4a5442978569, 0xcb283b2826a350b7, 0xb3a34521c47005b6,
0xf5b85e588f6ae236, 0xa633e9da76dbac1b, 0x018f63a3c4206f0c, 0xe902487c55744dc7,
0x9a64faf59c91b256, 0x27261ab2566b825a, 0x505fb59927a9d6f2, 0x9e8ac9e82fac08c1,
0x0980f389db2233b2, 0x4aad46944c35475e, 0x582ace01bf9a07e9, 0xe31d992497f30151,
0x4e5e841705cd8030, 0xc0ebd307bcb517d0, 0x6e00144bf7aa6465, 0x68bf3a5d23e2a451,
0x7775b165d058fd4d, 0x333b2ef38a83028a, 0x8a8e5ed3b5f05bc5, 0xe2b6cb51765dffd2,
0x254311881cd29b2c, 0xf3e08788eaa8299d, 0xfe5413491e2f9aad, 0x17f1de18d622d5a7,
0xb77ef53de3685c16, 0x96a90813f2c9e5ca, 0xb66e2a1d31d0ea27, 0xa30b7cda6415c2ea,
0xea5d8c0332e1169a, 0xdac565fab2953579, 0xd368a5b63678591a, 0x3e9e94082e323aab,
0x8c65aff4a4b66459, 0x3986d2a068f5bc73, 0x7c2f61afb2b21833, 0x5a56379711b8bd38,
0xaf81029472abee3a, 0x711b34e460250cd0, 0xb0626dfc43885ac7, 0xca1b7764f06a0e7b,
0xa88bdc11bec8c039, 0x6cd4af4ecc6bc58b, 0xa14a30f68ee44183, 0x18c4246a0e9579f0,
0x51f0752969f39d8b, 0xe2dc6dea0854fde6, 0xf0822b4869a62980, 0x3d4ee71e92a2b5b3,
0xb01aab5a138b940e, 0xbf20d0ae9c2d98f1, 0x7d439cf6cad03c1f, 0x68a5b02dfd97e70e,
0xae1559a31e86242a, 0x47129fc295561089, 0x42b5ef30a05654fb, 0xfb0490fbcdd7fc43,
0x3af0f2bfce2c8106, 0x50acf99de12de893, 0x45554a7abebdef93, 0xa95cea3ec444a518,
0x361c6d1dbf532dad, 0x104ba9c52139eb46, 0xd82f036ef8e62972, 0xe3bf5c43b7cfe015,
0x6e4ecb4b010852eb, 0x294695c26bd5a19b, 0x7545f7614335d132, 0x6bbe738e8e9cd014,
0x437874873d59fae3, 0x1a642f8ff3bf2eaf, 0xd0975b777abd7af4, 0xdb98c39c2472a4fe,
0x8904a249bab3eb24, 0xfb2e065542a87ce3, 0xaeffd20a61cec0cb, 0x69352f71eff9ab35,
0x603d8a901f0d3fca, 0xbb4f0c5d7d456262, 0x2638ee897cd3f789, 0xb4a77784050d703c,
0x5be6b108913c26fb, 0x38be35371d2e2d02, 0x3837339f8809893e, 0x60d10df11dc812a4,
0xe5a7b893ad28009e, 0x2e78ba212bf34abf, 0x66070574fa6deb06, 0x9e3932d414c774ad,
0x2e3e575ffc95a337, 0x4b651f093407b19f, 0x1967f4679905d9eb, 0x2b26bdf1217ccd30,
0x6312156c94f7c56a, 0x0e356ff20fec666e, 0x5bb08f48bd9bfa31, 0xfdf99d8a3a77b220,
0xb200f24929040510, 0x9309fa8e0df272bb, 0x9338c39fc45c5fcc, 0x4165eef972184767,
0x921f3ce1d2570738, 0xdf8324955796ad2e, 0x19a1337b134e19ed, 0xe40f67a824378062,
0x3c77af462d31210a, 0x49f14f7fcf191d35, 0x0dc138d24cca183a, 0x12bc60e66d823150,
0xfb428169c8ee1542, 0xe90d2708848d8bb1, 0xd0031495d83fb68a, 0xe00271cf727f0415,
0x86e194f43cad9db6, 0x223cf8e7d9f87d20, 0x75595e1d6bf9e28c, 0x8f61389183d032de,
0x5943da7b05a5a4f0, 0xcf7a54e90e09ff27, 0xdd3b65b0ad2d430b, 0x9cc67a371a5fbe54,
0xb3dbc3d93e875c10, 0xa55af470429455ec, 0x26ea48a9a533fbe5, 0x03bc4bb30bea7531,
0x6fa557845602c634, 0xfb790ac11b09bef6, 0xd7b00d2addeec181, 0x1d7ef2bcaaa182ec,
0xfeccd8fef0ffed48, 0x46ae488e9af37784, 0x3f0a65bd8ddac848, 0xeda8a54a84c7db77,
0x5acd96e73e7cccd5, 0x91df8b942d79b7d6, 0x2fd509eb680af888, 0xe53823d0022deb79,
0xc7b4c0fec49335d1, 0xd4adfdab79cdf41f, 0x9b1e670c2a1f3603, 0x3e42b951239549a2,
0xa77dc1f3dfcf047e, 0x3f81ba6e39d4db2e, 0xb7cb754a92addfb7, 0xf2b043daef6f5c51,
0x231421640f8e58c9, 0x666c2ae3eaea7738, 0xbd2eae1c92e84044, 0xbc82baa71a5cd08a,
0x63cc08fd2831be84, 0x9407bb8e33ce1bfb, 0xd5733d072d893568, 0x0e045b14954bc9fd,
0xce18e8a1add59adf, 0x7dbdb10c0781af0c, 0x601997a369228acc, 0x16203d7dac717474,
0x5f8c28eca6f4d222, 0x6aeb5a543e0b2f6c, 0x76b40c4ca52d8c43, 0xd8123a4713d1b774,
0x9142e92ef17f74f7, 0x2be60926ab4a9926, 0xde0c7008ff03659d, 0x547682034efec13d,
0xf64a67ae20ba35a9, 0x97d5f0fbc727c4c1, 0x84821519687ff379, 0x9a6fcf054e5c2c2c,
0x0256dc58143168be, 0xf9de3cfd7d836bae, 0x934f6044e158fe7a, 0x09f61790a7f8327f,
0xbf7d3b660142d860, 0xd82816a085c84281, 0xaf00df2b0db3616c, 0x824755f83e04021f,
0x3d86bc2c4d0eb6e7, 0x0377e26be02b1600, 0xfac4b33dce67a2c8, 0xf6a077f29cf87bf4,
0xdaa2a520f9c1b590, 0x21ed4a43778043dc, 0x099e007b1046184f, 0x07332ba0a13f3ce7,
0x4dd02f8ff369c6df, 0xdc858b7247d6e624, 0xa67f179b0eae79ae, 0xcb191725966f0b8d,
0x04013d4b7ae563ad, 0xbb94ebe8fb101cd1, 0x4a27e47bfc6c6ce6, 0x584171cc5c54c6c5,
0xfeb9ec8af722a5c0, 0x631e0498e08aa19f, 0x5ff0bc40bcfe4e6d, 0x00eab65e934b3ace,
0x70e3545c7a09de77, 0x5c432d4ba52db20a, 0x45ece20df417435e, 0xbac8f7e7e8433d7f,
0xdcb8666820aaa473, 0x9da1391c21e1d570, 0xce86cf70d05b341a, 0x835c179aa3e57355,
0x2e5392587e60aaaf, 0xa897b6a47218b85a, 0x552215f524f03907, 0x6d4f55b9f3b7dad6,
0x7658380b330da9db, 0x2a6397611b8cb577, 0x756598a3d805c879, 0x63185d6e2f900fa7,
0x15298bb8136cc7ac, 0x4939bb3f98030099, 0x4329fbfbc10ca4aa, 0xb8854f11deb03811,
0x25116328c87dd8c9, 0x681c6aa288ab5edd, 0x6bdf1f47a59bd3ad, 0x60c8e05aad3afb74,
0x60b4d735eb27e581, 0x30c6edf7375209fc, 0x7b4bc33f37871021, 0x016902edc9bc3d4b,
0x87598b818cc76647, 0xe4d2f0d4ce273d50, 0x9e60271ff852edbc, 0x65f4772c2c5153e4,
0x984d23216681ac49, 0x06315c9293173b76, 0x6b81394dab386cce, 0xcb9a60979248f9e7,
0xa3bcbf70092e356e, 0x8e485e0ae55e2fbf, 0x3deba59867354745, 0xed8e19c8f5aeb007,
0x0fc5366b2844516a, 0xf0787092414ac62c, 0xfd0dc6a79a391bdd, 0x00b632d5e29bc851,
0xe9435fdd6c02ed80, 0x18b0465ce1d34702, 0x91d93fa72dda5b98, 0xcb00429aae5ba1c1,
0xcca3a4bfd8eec3f0, 0x152aff9333f6422d, 0x307e9b2b210a7286, 0x4330534cbce43e1c,
0xa24b4e7eb62f81ea, 0x9feae875867d079a, 0x22c2f6554fb1f052, 0xe44b6b16df285e74,
0x76c4981976eba103, 0xb2e660a177a1b405, 0x6765bc0744443970, 0x1adb8ce12c39ffe0,
0xe73e595890260e15, 0xef3a51c2a323cc3f, 0xd4680780ce067e2b, 0x18bdc1e0138d7718,
0xe58e8de7143e3dbb, 0x7a8fe5d6b18b8bcc, 0xf9b15f1a5ac71cac, 0x07e6729aeb96a9f7,
0xebf3da95e0c2d599, 0xc1240e762cb02eeb, 0xf1352359c1db98ea, 0xdc3b799e91f222ef,
0x0a4d60448a7ca598, 0x36810d0b875f5dc6, 0xdfd28e6b4b9fd2c0, 0xd3ba54564d5ceb58,
0xacec80baadb1492a, 0x6114be69ad9b9002, 0x03553a9f3128a0fb, 0x7463e4dbe892d00c,
0xd693a80228b36e22, 0x80751f47d3daf342, 0xffbb1ec857b15526, 0x5639c6e72ae1560f,
0xdae0414cec888f69, 0x011e3bf269741587, 0xd19166d49a925650, 0x3bc6ef116ce11941,
0xda70f8081cb4fc75, 0xe66f884df3f2912c, 0x8dd83fb94706d96c, 0xa04c4efdea6afa89,
0x69d0435761a09e82, 0x35cc269068f3fa4d, 0xb925e452526146e9, 0x22b352d5a5002135,
0x792cec1110b2a765, 0x4c6a1614e4dae95c, 0x79719e22b04a95e2, 0xe22052eae2e13e5a,
0x6a7238a52539f0d7, 0x8a0f377a8e204b3e, 0x7788bad972992e58, 0x6f875733387b5b83,
0x9257972a0b488987, 0xb40caaae724fa6e8, 0xb2d89e6ae6c5ee7c, 0x6104435a21b77bb0,
0x986ddbbf979af5df, 0xecaf6bdc61e33be7, 0x45e9c729615d5b65, 0x0892befab55ce136,
0xb6141f6aa2337dcb, 0xc3c5db89f28ce416, 0xd3398989e215a87e, 0xf1f63b86bfa1536d,
0xe7625f16c187257c, 0x9c9a7ef9eeecc07f, 0xfac5050af18c13cf, 0xebb43abff6e713be,
0xe3a33a4cbd01c317, 0x21ada937140005de, 0x55244e0f39004739, 0x8f2b4448160c66f1,
0x83d16ebd9b4ddb77, 0x8623d713704f5fbb, 0x9045f1883af96844, 0x6a7760a60ceaeb7e,
0x8cfd062676b52592, 0x9d6fb66a4eb53b1a, 0x43903450a16fca9a, 0xa5533fc9625a2f5f,
0x8c26c4b0bbada818, 0x63ac76bece4bff58, 0x3be3f7db72d94029, 0x50e2b42d8280b8e1,
0x6494f650fce2bce9, 0xb65dd994c7cef393, 0xe5fe3c505a85fe6d, 0x2b03581820340cca,
0xc20396501b5ca00a, 0xe1587cb0bfd49c4e, 0xe178c083281e65fa, 0x92cd0b48330aed3c,
0xe2399d0402b58a4e, 0xe929b086ef597f58, 0xe11b42bb6f353499, 0xfaf742bd50e2744e,
0x6ee8fc37c316f8f6, 0x5f2ce60fb02caa99, 0xdf103c3067f122eb, 0x004ec267f0ac8bb6,
0xaa71d703fe199442, 0x48be9e28144bda1c, 0xd2898ac22d18aae1, 0xfcd42d82b02a4c8a,
0xbd4d6c6b0b283c9c, 0xc98b7dd982b5f484, 0x4bf931753115ed26, 0xe22a764b2c76b4fe,
0xf86b96c66554f3b4, 0x24df9fc44385ef01, 0x6bdda1f7ef1c0aed, 0x701008900e5cc3be,
0x8b27319fd8205491, 0x92ce807f58bb3a62, 0x60637ee6f010b3aa, 0x43e049437ff6f8e1,
0x726b27bf47cd47e6, 0xb18f23d71ca363a8, 0xf8515afef6427f29, 0x303fb1eca31d4943,
0x31306e225b7f9eb5, 0x138b5d0f4fafe917, 0xb5e9b3bdc5dea9ce, 0x88a344eb8ce710ec,
0x12d52a808d02623c, 0x06a1aec77d5bd9f9, 0xe67a93d41aa7dc20, 0x519a5ee1f9ee711f,
0xa486c12923a46f8c, 0x6d14147f822fc06d, 0xb1685c72147a28e8, 0xaa83f0ce41f43423,
0x9725ee6cc0a2a926, 0x836085dd3014cf05, 0x3d2223a0977ccefb, 0x4360915e79383583,
0x831998dbcd91734f, 0x8e3dc8dd1cb2a3fb, 0x6dd3ee8715c570af, 0xd330fd8bc3ab1a3d,
0xb00c4cb20e975a08, 0xc7db11d82ef74ebe, 0x2ed9126cf16130b1, 0x2d52a173eb0fb798,
0x003bec1d9d57bcc2, 0x49bc1305f0775089, 0xa1a924c41d5721ee, 0xe8e63e150f50ff3f,
0xf96b021b86a31a22, 0x011bff0f684e6e81, 0xa0179117b795724f, 0x1197a07ea06b8de7,
0x4521943b918d7fbb, 0xeb5ba9904ab5f361, 0xfd821bd37cb8c2f1, 0x8b931ef1c2135448,
0xfd46452625bdd7f3, 0xf0b1231e5db45953, 0x063574d0352432d1, 0x82ea03ace1b40a2f,
0x05e5ded3e4b1e8d8, 0x929ed8e193f210b5, 0xcafa3501c9d23979, 0x951940d8e3a69d8b,
0x696e947938774ded, 0x147979682a18ef8b, 0x64cfb7ba23444509, 0xfe3dbd4a2678c8b4,
0x5d50486a2943ce7d, 0xf7222fea75f07257, 0xc140e5b0c1f25859, 0x8604d373d2765a8b,
0x29602fab895949d6, 0x1b6e14a6bce7fa30, 0x19f61b45c5355e32, 0xb895fa9656ce89de,
0xb8afc49f571ec0d4, 0xe56969e30152e02e, 0x74539c7af5f50e6f, 0x5a7ea420d31a7d3c,
0xac582548335763ce, 0xa8b12e35676c0de8, 0xda82520b12336b18, 0x04499654b13b0bd1,
0xdfe6468c8753864d, 0x7ee5695d4f872b1c, 0x08f7461dc0dd0cd9, 0x267b013c86732a1b,
0x06478f206462df47, 0x02dc7f8ec0e99c1d, 0xbafa7e776f12806f, 0x58213eda30327e00,
0xe2892ee9f1cb11a9, 0xddca2f7c6e0792b9, 0x90271461bd8d71e9, 0x08683789d66544ee,
0x2dbca0d9eb26342e, 0x43d46010227659cd, 0xcfae45ea00b3fdbc, 0x5ecbf2bf17ea65c3,
0x791554c64f37f26d, 0x3d0d26f6df9c5b63, 0xa657556ed490b7f6, 0x3d1d22e7da2362a5,
0xb60639be2f7b4a77, 0xadae7f0f837ddf1b, 0xb4953abd1e95ebb0, 0x20e5d84844963b91,
0xf2cf0830be795c11, 0x30ab128456d11b0e, 0x40c80975c19caad9, 0xd7e530bdc51d92d7,
0x2c6744c46292101f, 0xd530741d49685f1e, 0x331a35db27d5022d, 0x3b7a6be9d0ab3676,
0x35338d814da4c6e5, 0x35e88f4d275bee8b, 0xf64d96f442824de7, 0x2755956dc495c4dd,
0x185a318a3c24c1b2, 0x771c72dd813e5632, 0x4554313faf5bd65d, 0x847a8bf9e5193ca7,
0x9aa1341676d7d991, 0xd8bdc4abd11cab4e, 0x2e57e96d27e923e3, 0xd8b1b5d20bf1b4ff,
0xbf30ab6ce0d2143e, 0x4e8c28e0dad171b9, 0xa0bcf5e015d8f27b, 0x435fe4979471817e,
0x52884ad5233cd7fd, 0x5c02de59b26eac44, 0xf17fa5ff710ae52a, 0x20f140aabdefbd1c,
0x0898a3f42f549cbd, 0x563ac7b705d77b96, 0xc38e813a9afd035d, 0x0b08441064a508e9,
0x55de827191737ed3, 0x8de5b2fa9b2f21c4, 0xb3ea94080702e6fd, 0xeaec40606e224e73,
0x1cae950c1d06e95f, 0xfce0e0d0093d8102, 0x0e5dbff0ae87da7d, 0x4f21bd58804289eb,
0xe2c283f5aaeaeb91, 0x353e0250bbfbddd3, 0x5d86e1a7e8183fb9, 0xcaf06c277668bd19,
0xaf2f9b92c119e1e6, 0xbb60620eef4aa9fc, 0x6db6bb70cb9db9d9, 0xa7ca3a32bff2b1b2,
0xcdae6d6ccc43b15b, 0xc4ba5a3ddea54e1f, 0x99e2b599ca42092e, 0x7a8a32283309b008,
0x5a0ea54020c0a459, 0x02db74b093dc5e5e, 0xb28c6c32d5fb07c4, 0x56a6b5b384e75d15,
0x5efd05aeb6a3f34b, 0xfd3f3480f1bdad11, 0x1c7f54350aa49ccf, 0x4339ee25899d5fff,
0x4d77212ffa386f54, 0xa4c6f10b0a3a4b3d, 0x8d70f861fdd9fe0b, 0x52eab4e040c0215e,
0x17d442065e8e1bfc, 0x0fd6868858fd9a05, 0x30f7448e8c12a773, 0xb3c655c9df11500c,
0x6399bb856719b704, 0x75c2a6af0f47e933, 0x2e6234d056502aaa, 0x5e405d9550b05a5b,
0xeb94a7cff8bb575a, 0x2c23da687104266f, 0x336dbcd7d56bc0d6, 0xb8ca1e01cd5d7a9e,
0x52c172be3fd87df7, 0x0896e6254d54a0f9, 0x15dd274ddfc4b099, 0x484148e6682e3aeb,
0xf06cdb9a724589df, 0xeca9e17eab4b653c, 0x4b6ef73fbedfc887, 0x10180202b532c92d,
0x8fc9498669fb35e6, 0x2624a886af623c94, 0x7131c6ff6dad97d5, 0x20c3da4608e7b58f,
0x1e36bbfaefd0d616, 0xe3dce9f218f7de78, 0xfa62e34531c11f2c, 0x62e189e841d14ca8,
0xf266d6edb307b251, 0x823c5c686e4e2144, 0x7e1d19e32ac6d5fd, 0x8eff8862f0ba61d4,
0x40557acad81c5c85, 0xd13ff4963daf07cb, 0x185fa2eb0a6545d4, 0xd223823ea11c8595,
0x63603fc351d70950, 0xc38c270331d65bd6, 0xa1005c55b7c59e27, 0x01686651817df2ae,
0x4a435deaea063512, 0x1547641a364d81a3, 0x52a35d16f423e7d4, 0x788b49cbf5a86371,
0x2ed717ce8ea3bb68, 0x49831307ef96d5ed, 0x22d4a8bfa35149c9, 0x64b8c5abe78a7813,
0x99f41728c951f7e8, 0x94655356db786cf5, 0x6d393de9cb352d9e, 0xabca521211eaa2ac,
0x5c9bfd8e9e150418, 0x6ab3e4d2e2610278, 0xe7d488e7a045a8a3, 0x131991eb5ecfc408,
0x28d1a1a57baf509a, 0xae3fb89bbe60b7ff, 0x14c5bcadcc6f4769, 0x952a3c5169ac2569,
0xdb2f099ea0861b46, 0xbe022ed894c5b38d, 0x545934f1d4bf79f1, 0x73a6b6ec394c0805,
0x5d85ecd69cc6f5cb, 0xbc90a891c69324a5, 0x55b66c8eaed01af2, 0x285259c3e2d60b9e,
0x5e611a230231fda8, 0x147ba77bef350276, 0x16f990e0f8681661, 0xde95ba8fc66d5d0c,
0x8fa314cda13610a3, 0x9264158ddb36607a, 0x9b176053d750df1a, 0x594dce946810afd8,
0x045e0e5bd92aaeb2, 0xb5a6333fb9e1cd1a, 0x61a9b5d1f1054cb1, 0x2eb4384401c4f708,
0x0e61add50688a190, 0xfb4e68d0c9bfb741, 0xf1426640ae78dfbc, 0x43b450cf78c3efcf,
0x45644cc65dc64dd6, 0x5adfa9ebfd8ced15, 0xfb6afd5c95267112, 0x48975ca21a6a21a4,
0xc3023ad35bdadf40, 0x7a683c8b12b6ebd8, 0x98e151f584b46c3c, 0x02840ed66e9915fd,
0x9f8bc359298655ed, 0x49725e906b54f56a, 0x107b268889f72253, 0x78c9e5eafa37c510,
0xf33494a6426d569c, 0x750d1b4a23910b0b, 0x04d5423f82998d72, 0xaf985f33bb5d6804,
0x7fcb45cacbc16cb4, 0x27ad6742f80c9f3e, 0xade1f456973e698d, 0x07c4dde77b32eda3,
0xe95e908d4892c97d, 0x61bd34943fe2774a, 0x95dae59d3009298b, 0xfcd159a901d0a8a3,
0xeb022e747a9bba47, 0x384e8b297a3600cc, 0x614dbf4f2c3ff5c0, 0x71439c824f6be963,
0xb82ca378956c1673, 0x2830d7f787fca139, 0xfe96bcf4d7d2ab68, 0x45a7018a030b7ee3,
0x836a637e366416bd, 0x9aa6a0de17c80088, 0x5578ceeeb2e9f332, 0xef71f48296b7068e,
0xb8231b2aa5c6d089, 0xcd84693dd819222f, 0xcdd94d170a1ed0bb, 0x68c6e4295209886b,
0xc65a86a352df4657, 0x9c9f4c89d36d6329, 0xea85e9ad10f8d063, 0x60955b1303ce25c2,
0xe7c6f4801122d0c3, 0x45b9d4c62cea42db, 0x824b2dc9257f4ad7, 0xc2a29d4ec50e5120,
0x08796a094d641258, 0x0d20756d86101a11, 0xfa01f478e25490e1, 0xae1e2bbda20fc36a,
0x30ec95c3629389ec, 0xf49941b37d4dc502, 0x95b6137bae3bbff5, 0x8479e65674fa2841,
0xc366d8ae98e23d62, 0x0560b2a85f99fadb, 0x0645943ffe0ebb50, 0x97ff6530ce63222f,
0xffcc588fcd88b6b5, 0x0b5d088d1af64948, 0x13a4125fcbed8d98, 0x60eec3dc5351f514,
0x0f4fdab56c12f196, 0xf42b6479dfe890d7, 0x49ced3b2a341892a, 0x6f489e11c4f2f563,
0xa3e7906e0800ea4c, 0x6d6ce56e88b19da8, 0xad7accea715a24ad, 0xdae8b66df39afab4,
0x649143bfb795a97d, 0x620bf33c23fd9963, 0x6760b747c5c7026a, 0x093b0d9a44468ed3,
0x4425f8c50a663eda, 0x19ee9facb7a5b74a, 0x645fd5fd07216130, 0xe5f9d7f2ee47ce18,
0xaa98b91bd0b2a13a, 0x06542db41630a300, 0x4969e39a29867149, 0x9dcc7e7456ec3395,
0x2c373c23325f2b6a, 0x5404c9305a2b2365, 0xe00d26e935b40505, 0xb66338b1af315770,
0x565eb7b409b3a5da, 0x2b895a2ccfacba17, 0x17276deeb23bb4d1, 0xd5d0c79382703267,
0x3282097e99075f11, 0xa075a1ad9d811f39, 0x70ef1c6f2a10ec8d, 0x42dabc23f06a0488,
0x2596ad1992db6801, 0xb96d38841788db1a, 0xcc6405924429a4e6, 0x3eb9b87096205aaa,
0x7df08c803e4ea5f4, 0x455beb421eeee810, 0x2045728a45dc9123, 0x4f5ad6647403ae33,
0x794059f72018feee, 0x3623fe1f4bc38149, 0xfa7c41de263a0667, 0xcd67a892af10d084,
0xc3770c298a41e6fe, 0x4c856e881f137f08, 0xc4f850de61c69d68, 0xfa0ef5da5e0539a2,
0x52076b42ccbad387, 0x2041523de945fa64, 0xbbbcae5cca85cac5, 0xae6a3c5423df4d8a,
0x5eac296c0b7ee422, 0x11a4ec37c9d225ec, 0x98ee358ac76d052f, 0xa28bd0c395c89ed3,
0xd790c36dd0f858c7, 0xc0a6f2b80ba105d1, 0x3464b85f05e22b66, 0x76063c06a40c6be2,
0xb4e50777cff89564, 0x0f16860d5228ceae, 0x84ee4126f94448c1, 0x08936ff6b202b4aa,
0x8657c747aa2655fc, 0x689f283d988eed5f, 0xc30482562f3a2497, 0x2ddd7409d8c53e7c,
0x6772e5c5cc7731fe, 0xb144d9ae05e5e7d3, 0xeda599f039b6ca7b, 0xfd4ce13f59103c23,
0x1f415ec754b3b784, 0xa2f249ada8e84e11, 0x3c3814571b8077c2, 0x45f0e06bf4dcf786,
0x0137aded796ad680, 0xe81d6f0ade7421b8, 0x7044af319237f16c, 0xb20ea0bc8da3e3aa,
0x718581e2c2c6fff1, 0x56a5bccf33ab1dbe, 0x6a7109754d358441, 0x1f3091bfffe0e552,
0xfb9c72c0573a9fe1, 0xe49d088dc97d638c, 0x9f58d4ff9feb64dd, 0xbb95c9734fbeede8,
0xf328627a96fbe049, 0x024e3775f352b912, 0x1826dc75c812ad15, 0x22bc4ef23a8ead2b,
0xc6898e3ca143d8a6, 0x94f41df2677b8cf8, 0x2816c04f2838f793, 0x300d2137c9e52ac1,
0xa2b5820e482887a2, 0x1fcfdb00fecf0e83, 0xc6dc035b1eff5cf5, 0x9a66e973c2a50111,
0xccad368dafc50c76, 0xeed5dffa03676bb7, 0xede1402311b0ecf1, 0xdf8b95b550e6bebf,
0x44710f41283dc354, 0xb13dd2f027179d2d, 0x8102e7c3a00223db, 0xa3cee3cb3c32071e,
0x7893d3f6cc4ebf05, 0x7f7f6308c650a2f1, 0x3f542132b84a03d2, 0x5bbe5ac7ece0d1a9,
0x29d78ebcc7d9ab23, 0x9d2bacb0c558d7eb, 0xdff8f6a1bd37fa84, 0xc72d5ffe40dcee26,
0x98b1693c2aff0012, 0x1f2a0722120a168e, 0x4c6595728dd8fc73, 0x70de0300097bee65,
0x76d0309a33a87e66, 0x08e1ceeb8efb47c3, 0x0c3097e50bbe270b, 0x4eb51a4f91d5d151,
0x30eaf0365ea1a728, 0xaf9cbd611b5d74c7, 0x8503807f474ab221, 0x39ee66d06e1bc996,
0xcc085e60f175ad60, 0xacc0c7b02698b851, 0x4cd0084ec00f1b11, 0xf3df5a3606e90c56,
0x07ad715b6952f865, 0x269f242f382bced9, 0xdfb5c5d90c6929d5, 0x608b84ff2a4e1a06,
0x3e9239859f0f7035, 0xff114f8c1ef228a6, 0xb35287c251b69394, 0xb40b54262db2cc1a,
0x6e1a99d05c74ff98, 0x889584b38ce876fc, 0x8c8c20bc8da2af0b, 0xc27391d07edbed3d,
0x4f6863ba6d1088ee, 0xc0485a0a35384c90, 0xddba95542221ae27, 0x590a650f7e97ec48,
0x9543e7a8c791b3e5, 0xc21f5f28180a2d17, 0x9de580670fd28fb9, 0x618a5f8d2ab7024f,
0xae63ca1b7c841494, 0xe33d4b521cec8147, 0x5e71605ae0ed7feb, 0x88750edacfd6fbb7,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x6ba80d6d9e595bef, 0xbf74e3a2dcea2b33, 0x6caf1defaf37aec3, 0x05fb7d6f85a9d77e,
0x6324953a900b2d09, 0xb41d83e7132852e7, 0x1e1dd0e57108c827, 0xee4afcb8f9f4ebb0,
0xde4f506ef4f7f569, 0x8ca73bc863181420, 0x2ee9d0741b938ba9, 0x285680cb732d977a,
0xdcae1f50c2e5aa55, 0xd082e3bd3bd721c9, 0x3b8262e5eb074dd8, 0x430ccf7a349bf3c5,
0x697bbfdc594fa341, 0x360f0f6280b4e319, 0xc417b8b41aa1502d, 0xb0c70506afcbacf9,
0x2ebb284c2f7f32a2, 0x08e9d3878c44042d, 0x1dba1d5347e2faff, 0x3e15b1c1438709e1,
0x5901c4f1954d7afb, 0x2367e97ca9f9451e, 0xdf4a3d76b632e2cc, 0x9ff330659054b186,
0x4962ed3d807bb4ef, 0x76af4a9cbed1d494, 0x379f297db24f6299, 0x5db0c4d44c0115c4,
0x66d0f0b8adb1b594, 0xd73a91265710164e, 0x44f7e33ee7de32ac, 0x97c0c025b33e1902,
0x2954c3cdd11cc6fb, 0xd5cb87117b75347c, 0x0eb11501d2585808, 0xbe7587e40c17e2f5,
0x57918e44b4715a33, 0x04b76edd2c9a3f01, 0xfc52614ae3119f30, 0xa14c520f005cce09,
0xd0a6a276f9bfe270, 0xf960fb0536c682a7, 0xf8ffd7a93d177870, 0x87e4dab2cde67a33,
0xe397dc97e31f18fe, 0xa9d27661d2b7098b, 0x1b57d7beb4dab663, 0x3dcffc0011459cd3,
0x968ccc7975670966, 0xb1110a7e0778599a, 0x0392af40057fe183, 0x01136010174bf091,
0xab90fd6921c759fc, 0xe19a8ef47a385cc0, 0x7388de94ba9aca10, 0xf3ffb4d5b1314d97,
0xda177f11ca6cc2e0, 0xaa6ee679e0d72c12, 0xf48a9b5ab93fa5b3, 0x1163a065305498dc,
0x71d9ed185cbf8ee1, 0xe87cf67567f0ab1e, 0x9262ead9284d7808, 0x2cb5d43cd596a7b8,
0x5fef752a106e3eaf, 0x18060962e036100c, 0xd6cbd3ae55b346df, 0x0a2ef6708035fc5a,
0x2314520ef630546d, 0x2bd78448443bf776, 0x8b907c80bcb43477, 0xbd3a07eae299b7c7,
0x84faaa9b70723518, 0xc54afe037cd43d70, 0x87abf08000fdd0d8, 0x65d13f1a33b81459,
0x2262d86765467952, 0x5ee71bd0c12ae50a, 0x17a82729fcc74a77, 0xab3774283b961f61,
0x9aac1588549837e4, 0xbfa9c930db51210d, 0xaf140f711bb37d3d, 0x00929a771e94853b,
0x82313d4b1a9bb050, 0xd013b38b73dd57e9, 0xb0d8b279df7e043e, 0x53eb6734aee485a7,
0x564f78bada79f4c9, 0x5017cc7648649561, 0xc169197a6df80d80, 0xe5cdbe9a4cab5a03,
0x9428d2611c978d99, 0x97cc5f8faf299830, 0x3cdf07da75870abb, 0xa5076d9caaca215b,
0x2e01d129c157aca8, 0xeb4870bec5a157f0, 0x01cc4c5f5e615a08, 0xa1790f82cac8affc,
0x221788e13f7c4c91, 0x58d7e502280efa4a, 0x255a7cce431061d2, 0xa5ce56923ad9043d,
0xa233dc77ee419864, 0x347aed9c799aa53b, 0x11ca654570b96d0a, 0x5656778f6294c9da,
0x4b9410948d5e136b, 0x574b9aad45e34a96, 0x9ec281430d14c61f, 0xaa0d009e0d893d73,
0xaaad5bf3a355e88a, 0x138b3f41b169c060, 0x0460703ddcfbc08d, 0x86f7d7c990072ad1,
0x603860a22919cc22, 0x07f17c2fbeca03d4, 0x18bfe3ecc7aadae6, 0xf25ed5d952ce0638,
0xec89d8c7fba547bb, 0x37e39422c2849133, 0x423d6041f4e5d85d, 0x8850748882eab882,
0x2077225973c19257, 0x3fa0008a78b59d74, 0x1bcf59341e13c65d, 0x51ca4da47b61b55e,
0x47c19afc9603c0b3, 0x5ba14de8d485b715, 0x3ccd7164ed35e57c, 0xfb77018d829e711c,
0xde9c444da65ddd34, 0x519fed98329f3adb, 0x738ec0b6e7c9e6e3, 0xb741a50753bc8bc7,
0x7c13508c3bf06c67, 0xa91519399bc5492f, 0x88341b6772c135f9, 0x3065b1c1f1fd7536,
0x6fe3556135384ea8, 0xad089435b3320bb5, 0xf1a1863876ab5200, 0x90f87630152eec81,
0x2be5eaf04af33dda, 0x5da11256b39e9539, 0x385634c5f66b956c, 0x84e8df37503e1fd9,
0x69c4f0e31c3d4e1a, 0xbdb98796e88b888b, 0x8f638815e8234df5, 0x83963fd83cacb98f,
0xbc2b7733f159cfac, 0x88111730b6e68f79, 0x58d51ea9b3fe539b, 0xa077e6ab425b0826,
0x4131b5b06290358b, 0x85cc3ab76fa87388, 0xca017932cbb7778f, 0x0c94e0dcc0d8b2d5,
0x36374ac1d45d1bfb, 0x5ffceb267182f45b, 0x02624993b4fe8022, 0x3f05baf855fc313a,
0x4db56368dd60cf56, 0x8849033f25770438, 0x74173a7daffafd4d, 0xf8988d85f165d92b,
0x148145e8afe98fc8, 0x633bc57b8bd5210d, 0xe2446cecb15f2baa, 0x9e69418dfb3485b2,
0x4135ec1a2f0b17ab, 0x778593414bf40793, 0x6af7214224bfd27c, 0xd307526d9139380d,
0x4d29f65dc1ab9c76, 0x65a9dc5afe3c159f, 0x29c8cef9e24c2646, 0xd4bc9355a2287256,
0x61bf74dc014398b0, 0xf33e6e159ac74c7b, 0x7752d745ff8c2a68, 0x0606581ed90d0c86,
0x83fe2220e057e157, 0x9fffba45d2fd9109, 0x1814aecfab9f35ad, 0x8df551f24bd41a39,
0x89072bad58aa6fdc, 0x9d8329821db69f78, 0xbec9701d31174300, 0x7caf2e14e5faa0b8,
0x3beda2c3b3ae8a47, 0xc1edabc8e44ac9a0, 0x1c6971f03d250493, 0x19af641011b39386,
0x6f6e17744515ce52, 0xd9224cdf41c9721b, 0x504bf630d5593f05, 0xe043b20fa5ce526b,
0xf8447964c63b631f, 0x18ce408244819977, 0x4ad7ba658904332e, 0xc5cff7f1a689dd48,
0x40d0e3bb2b49f922, 0x9084c0a8eaf63362, 0x5ccfee1b98df32ba, 0xd2e3ea2a37f0fd67,
0xe9be4a66e542cfe5, 0x42c4df27b443c8dc, 0x0af533eb454bb47f, 0x684f114b5e0d2c0a,
0xeb0650ad3e892fb3, 0x32352378c6c759b2, 0x0afa2bb9d4d45468, 0x3cbd99511fb6a29c,
0xd34d415ad8fb679f, 0x29c0352811f53cea, 0x7b6e5c9c1d2fd319, 0xb423700d6474da31,
0x5c7317918e592810, 0x212b5dc5c8d87c68, 0x2c1e6cd6e0bb127e, 0xc2103e097b708a7d,
0xc3084eeddbb20e43, 0x061a9159fc390d92, 0x7f3f1498c5022245, 0xda19f6bc9fa1e420,
0x8bdedbcc2d410fbb, 0x6589cbfa6efe036e, 0xbafd48471ec3bfcd, 0x6c1c3eee7589445f,
0x09bf9ea6f2ccd49d, 0x2bc8ed181fae376d, 0x190e40a0aa7efaa0, 0x784a42a0f02406b0,
0x534af0489194b5b9, 0x5bd021701cf0fb60, 0xaeb421979d02745b, 0x8c3a8f28184b18d3,
0x615990d325528f71, 0x77d61f56ef48dab6, 0x121b39ecdd0fcb2d, 0x86b73fd8ad7d4bf6,
0xdcd8ade86269454b, 0xeb7ca8d2fe4974d3, 0x7ad07dd231b7b389, 0x817b19ec11aa92a1,
0xb5ada6e94fcc0dc7, 0x1833b9bdcd69d646, 0x6f7908b696ef6f69, 0x5e5816f77dff6cf8,
0x681b74d54d2780fb, 0xae8fe4c24fc5e2f4, 0xb1dd6bd193a137ca, 0x015b345f2274364e,
0x1aec139421778339, 0x2645c6889d8180e4, 0x73075dced32cc5aa, 0x58acc87f97a76aaf,
0xa77dec0805de5eb9, 0x154f9371f5a3194f, 0xd7258e65736002ba, 0xc1d4fc6e0a60cca3,
0xe4872570338cf073, 0xb4b666d0cbb49848, 0x9d3e75f761317e8f, 0xa3333be64d2ed7c4,
0xfd294b6252d1d1b9, 0x9cd734ec41cafb17, 0x4cb3f8ade6c1e3c1, 0x54316712841fe1e1,
0xabec61bb7799f721, 0x691b7d7fad3649db, 0x069961e6a1b63e59, 0x91ae6eec5f7a5882,
0xe35f05562e000119, 0xf2f909f2fc30d30d, 0x1363be8b9888dbd1, 0x8d90183a3e1d0a86,
0x92f3c37b65e68cde, 0xd6919899978214e3, 0xe2d717e45d36709b, 0xc77e7633fe1f66bc,
0x8dd07e422b331fed, 0x403dc270560e1f44, 0xc75ddad670e464ee, 0x3d2102b9f8f07ada,
0x9863ddfe594b94d0, 0x7e445ca34bc5e70f, 0xd6cffef8b2c07883, 0x0d87aab233dbf06b,
0xe3bfee82c3f869bf, 0x527c27a656008480, 0xd1836b07c4c3af36, 0x99eb569cd86f57fa,
0xde43cf4bbb769d8c, 0xa151a30545424711, 0x1be851934129b601, 0x8e1f369b314e232c,
0xbe7018e9c85f8cea, 0x4b92adc66da7ef5a, 0x978807220192b66a, 0x39df3cfb1d7bd73a,
0x8284e06ba40d72a4, 0x75bf7732890881dc, 0x6d2a498bbe19415e, 0xfb664e541825573b,
0x976a952d5f4ce437, 0xe1ba110a02b3cd62, 0xabd205c4ddb02df7, 0xb3e5f0aa4b9ea9fe,
0xceb156780c88e260, 0xd01f2786b33c6a8b, 0x03de408ce1049efb, 0x149ee09fb6252d3b,
0xbb7ea066696241a2, 0x1b0f001e4ea6fad8, 0x27cb4d7bc8043bc1, 0x084b64ee849cce66,
0x37d4cbc31864ae4d, 0x3c7e9f77b16f0208, 0x64f8b04523d7d7c1, 0xacd75b3f0bc656be,
0x18586afbde497301, 0x176759e3e788e938, 0x0b23cf2f02291758, 0xc3918a77b0c472da,
0x69cd54c2b22bf285, 0xaaade807f33c799f, 0xe78a725e72ea8f46, 0x0c92b013490ea332,
0xfc462d3e5f60bf28, 0xdd7bec6880b45067, 0x18137cce039085c3, 0x31fffc94ab12acad,
0x0cf3e2b5b8af26c1, 0xd3758616f1ae8d83, 0x1369db9dc16b4213, 0x52b7a52bf17eef23,
0x71503135a5d4502e, 0x08d4295066556b28, 0xa7120ab63857ac4f, 0xfeaf84a2b3d9825d,
0x194678ac4eb0823e, 0x910da1e33e5b9cce, 0x1312dc0fa35d96fc, 0xca5242da171f343d,
0x6159c17ecbc7669f, 0x163b12e29b80b8b2, 0x167b8bbe8346c2c0, 0xc0773e549be95e05,
0xa83c52b546c249b8, 0x7ad674c9bf5f8b8a, 0x84909b12c5801b83, 0x499edbc0dfc90b2f,
0x175626366fe5cdf3, 0x9ed024f0dc0460b5, 0x7e5b2ad761d07816, 0x64257e7c1a66ce70,
0x8df9810108b6862a, 0xb407a22e3b001fff, 0xacb5e817f4798f70, 0xda454b80a60598d5,
0x7b9e33f535d1dc38, 0xfb73e396fdfc7977, 0x6feac162d336892d, 0x53a13b856555b289,
0x72ffd8c7ae166eeb, 0x59756694c17474db, 0x02694cdcbd6819bc, 0x7d8931535ef516b3,
0x563cc4be6cb70abe, 0xe8071a717b6385b8, 0x8a69ea8a5ae0fa38, 0x8b54a6b06fdff099,
0x5dc231c9a6d9e8f6, 0xef2ae32a3c91b24c, 0xc2680a6b8dd4a71e, 0x8c0addfcbb4b9df7,
0x6d985dff061bbc73, 0xbdf46ee1d160b3a9, 0x5580fa38dfcd336e, 0x48a953367c6b9719,
0x819ce7e0d7f6a332, 0x8fd88cda98092ea4, 0x4c2d0be98db0410a, 0x45ec5331c5012a8c,
0xcb26f46b50cc776b, 0x9160c00ad454116c, 0x250fd86321584324, 0x4b56071e8db09fa8,
0x407e529b9bf5ab00, 0x33367f04537f7109, 0xc11f9fed6c01261d, 0x961fef17d19b79de,
0xbf95ed6e1b87a599, 0xbe4caf3d8dbda966, 0x8b3f2f6d68e43a0d, 0x67a82743cbc96a8c,
0x01ea2ad03dc62deb, 0x4dd3723cbce1fa40, 0x0a069e1998b7dd58, 0x070b93a8ad85b8d7,
0xf8c81b3c6cb1dd49, 0xb0bcfcb6ec0ca057, 0x4bfbebc2351f428b, 0xf595fa6d4054003b,
0xd34e29f482c8e04c, 0xa5617a0ca711f06c, 0x5d1a9af1a6b0e97b, 0xf503c3501774bacd,
0xd8f090492d15b114, 0x7cbc66982960e088, 0x51f2b9387991b35c, 0xf3cb07ba49b25908,
0x2892880393de5846, 0x4e300aa2d084a47d, 0xc79a84d2339e48a4, 0x4638ed418b76c15b,
0xc0fc8b084fa762fe, 0x3723d840b65e6505, 0x8497993d5a01d1c2, 0xabe096827f18c1a7,
0xb9adf761351376e8, 0x35a0d7504a8b1e10, 0xef2e6b32283a77ec, 0xfad2f136100748e4,
0x644ea41c9e698e24, 0x1968015936792a4a, 0x9ea1cedae07c5469, 0x4864ac682e3ce51a,
0x611ae22d395d280d, 0x83ce6aa8216ff3b0, 0xa1991bdf6ae86e3e, 0x56e791d68bf3f2ac,
0xe19ba907a64772fb, 0x75c5a4733b31d752, 0xda6df88f1788144e, 0x026bbeb995429cf9,
0x1f6d1248511abbf9, 0x9de4f443ab074134, 0xefe1c258d5911d0e, 0xb6dc66bf94b999d8,
0xef55eb299f980c90, 0xc2d20fc8b1f90833, 0x94b961c0b4614d50, 0x7aabe6fbde19818e,
0xd5775875ec2478b2, 0x3dbc0cdbace727d6, 0x9ecb4a32f5eedc0a, 0x97066199c0f193ff,
0x7dcc5b63f10ec589, 0xcc343d343d52fd84, 0x1f60a17cbc276775, 0xa7ade1bdc6748d64,
0x600b5e5badf0abfc, 0x1a40a916dae8efd1, 0x459321785cbbc22e, 0x47e23995b59e79d1,
0xef58d8f372fda762, 0x1a1013b064ce0dca, 0xbfca49c6c05f325e, 0x976e9a96a82fa37c,
0xc90b74de984948b0, 0x59604ae4e8421b43, 0xdc5a52a7b0df5f2a, 0x5217f5d834f56ecf,
0x71a6814dacbb73de, 0x0d52623b4e07aef7, 0x150f13dac5b6d1e8, 0x7a2aaad6e2c8d87c,
0xfdf67e73f84c5e6e, 0xef49f49024030f38, 0xdd2a86ce0bc94230, 0x537a1124bf405617,
0x415af0bec9af7057, 0x668a9e81379b39e9, 0x0bf7230894b3aebd, 0x59a933b7344f4e2c,
0x8f63ad8abbcfb01e, 0x1bafe18804a66ed4, 0x9a34109d3bb4a200, 0xe7abf0dd43df16cb,
0xeeaf9a2b53e5cc5c, 0xd23360ce09b0707b, 0x5133eda8143af28e, 0x5fb02ee11d346f2a,
0x2d16ead5593f8950, 0x97051b0d8c33bafb, 0x5c79340b195a15fc, 0xb592c5974b7d317f,
0xd07ad581a6a34d97, 0xaae011e7632567c5, 0xa91067ba576ea8b8, 0x3526a8f75406cfce,
0x1a547f3ec5223cdc, 0x96be2ef067ee60da, 0x89f2d6dd15226d14, 0x98b77b17fdac3a4b,
0xb1d8b9937251d353, 0x722470cecc426467, 0xcded3e014730fe09, 0xbc47664cdde3d0e2,
0xb589437570c105e4, 0x66a2fc59a2b19a6d, 0x4cda8e9acb289ceb, 0x439c69e86392c491,
0x2691dc6670365132, 0x2432318bf89b5120, 0xd2895f272fae2bd2, 0xf351b96eab33aa4d,
0x41e3a8b67917914b, 0xe858d1b0af9c8f12, 0x486a21f52a1fa878, 0x5f1d0be89bbadf66,
0x11b3fadf38459f57, 0x55ac1fe54f76264d, 0x1ff96a738f57aaf9, 0x9a8bb1fd5a344961,
0xcf7fb0413911881e, 0xc19bb798789472fd, 0xbec0e34ca2f4baba, 0x1e0ef06e5fdff850,
0x9b2008caed1198e1, 0x4ff9fe3e9646fba8, 0xb34d6ed466dede7b, 0xa47a473934a29144,
0x3a0f9e52749f8376, 0xd16e2b50c98a8829, 0x07db409dadc05655, 0xba814b693d5c8cb5,
0x95ab401906a566be, 0x83655c4bd7f0ee89, 0xf98e2d54a6cdea90, 0xb77169096020c8e6,
0xbbdcc5fcd61f675e, 0x07f5d94dffebbde7, 0xeda568bdab379402, 0xdc851894cf611c3e,
0xc04f36b7630cb051, 0xdfa360df8a28031b, 0x6eded21d69dc730c, 0x88bda3c31218a19a,
0x017334c871e3e30b, 0x7fc594fc0ad29359, 0x1e1784e864d01c88, 0xe496ed538b5541d6,
0x6bbf165cb96e1fea, 0xe4758602a9b4555a, 0x0b24e044232f7577, 0x9b87c65c7721e089,
0x429dc32b0267a05a, 0x6082e4d3d3edb268, 0x4a77d47da7e98295, 0x0c768f3669a0a032,
0x14858d4678d530f2, 0x123c70f29c0b69cf, 0x50d103c6fa518c90, 0xd1aa915a3992b7a4,
0x195ff5862e27d5bc, 0x9649d1d851b05a00, 0x5dc55fa5a2a60a04, 0x743e71de252ef060,
0xc81df09ca90c3525, 0x23e3733c1b9ab4dc, 0x7c98202b29a35ed2, 0xece34e68743e4b16,
0x0ecfa166d16d1eee, 0x31b77aacd04adedb, 0xec0a7ffa4edb87ce, 0xb83834a90361c9ac,
0x3e294d944bda3caa, 0xdff637a3652d5b93, 0xae425d263e9cc999, 0xf6b4cf748b42d8ac,
0x05857d057c8e7a15, 0x5a49a66e979f35ef, 0x9385e97cd46a9a20, 0xcdce10b63eb6183a,
0x4368a964f22f002f, 0x6aa20b55bae2b618, 0xc41c44d8ca2d080d, 0x16b9a7375218cd0e,
0xb30ea60999e72bda, 0x361ef27b809be1bc, 0xf2e4da0735754088, 0x6f9d7f5407674963,
0x2a6979dbf009d406, 0xc1fcdf27342d6f43, 0x0f0b56a965c5be27, 0x62b1574fe2a52f2a,
0x5c37624e153d0793, 0xbecf6bb888f91ea5, 0x9fc392da79852e1c, 0x24b6ef9e4683e1b4,
0x354e59fa39c81319, 0x7d4296b051c38b90, 0x940d8cf33c2c135d, 0xf73182fa73938ace,
0xbd6041810097c64f, 0x0a2b47c4bd877d46, 0xbe8d4d8a3ea43524, 0x37fcfea59664274b,
0x1adffc6a9de447f5, 0xe0ad0cfb9cf9ab27, 0xd1fa176c030451d7, 0x107a993bd31a30a9,
0xe69919f8ef78e669, 0xdde2088d5065c479, 0x1195c973f1c9194f, 0xf599bbb08c1dc8a3,
0x7c2644c762eb4da2, 0xde7141c70326e72d, 0x73b84ac8e4f5986b, 0x0506978d60544185,
0xd3a025af51855a7a, 0x4255d3d263d8eb1f, 0x4f78a275d25983d9, 0x733ee25406452183,
0xbfec3455a1ba14e5, 0x24de877bd3b9d41d, 0x93ab8958d14b11e8, 0x300dc0f105b37ce7,
0x27fe1b19f06dbd19, 0x4573779b41989ea8, 0xcca0898939579291, 0x0f5958995476c263,
0x68dbf21f62c28bb5, 0x4b6b8ad1dd0735ff, 0xe13c2c92799090d4, 0x535df82035c6c642,
0x2d17f2f0193af29d, 0xf16a3e183415b731, 0x33fa9ba186cef653, 0x7bd33de594f046dd,
0x4df415b6655b2c45, 0x26d53e986edcb178, 0x1ab99c3dbc37ea80, 0xded6f35cd35c63c8,
0x77161d063149b571, 0x43e56bb16e53d05c, 0xf8b48d8380704f3e, 0x37a7a5760f09aad7,
0x2d1862e85b490f58, 0xd006065cc7f6f8df, 0x2037189b8f34a654, 0xd9beaf1401605d9e,
0x517264f6c64c0286, 0x72dd43b5b5c1e9e8, 0x57295382bd92a099, 0xa15a205324044aca,
0xc9966948eecb5e23, 0x6335159bbe55a098, 0x07c8355e785fb8b8, 0xbd84473ea8950b18,
0xe3fe2b40f168c1f7, 0x81e144eef9e64518, 0x4c020634c82fbc84, 0x2ce0fc7a5992dd7d,
0x5dd951fc6c0389dd, 0x70aeeb6da8160cda, 0x636cdd4d184d8508, 0xc021ccef61a28386,
0x3d215d34a8cd6bba, 0xcf8f3a8fb69a8b60, 0x49e98a03c4ff877d, 0x326cfb4aa1c7d5db,
0x6ba0ce471943c7f2, 0xa52f6dd3f97e0058, 0x0c7f9c01ae6fd446, 0x3113a25e97321534,
0xbf6bb6e70ab83dcc, 0x2b3775e21e458b5a, 0x6665c42bc3aa7613, 0xb110c199efe30aba,
0xdffd56f480052717, 0x45ae47969e523beb, 0x5308ac188cb02c57, 0xf11cbaa3c2dd249a,
0x1d11cdafc80a443c, 0xbda1d9d57ffad7c7, 0x5d33b39069883fcf, 0x6fde77086b2c5e92,
0x088cd180cd90704d, 0xc2f6bf4ae94c72a1, 0xfd481187bc85536d, 0x0af99190a55fd5ed,
0xc5fdc1f1e5c20805, 0x24ae9582231f95d9, 0xbe798af004ac67a8, 0xf10787cebeaaae54,
0x30ba9c0484908244, 0xbabf0e78ac882179, 0xef78e16b1ace6436, 0xba69426b1f8a1075,
0xa7882c0eff80d61a, 0x1e9e1ac22806995e, 0x96e8f313987ccfd7, 0x2b3254b81b80f4b4,
0x602b00a5b4371310, 0x0b3b4bbd673c27ff, 0xb5adb3cca0f90ac6, 0x22d956d19295d906,
0xc294068109ac92a2, 0xba1c7a257678b8fe, 0x4cfe1e8785bcdc18, 0x5fadeee2434752f8,
0xf429ca362fc2dc6b, 0x1207e8810638c05a, 0x4295dd26e6189c98, 0xe4f5e7b7e18e57a4,
0xe4f3f6c62b5286b4, 0x1a3f17dd2927fb17, 0x9350ae5157e1f4b2, 0xc0b76ff6b76451f2,
0x792c0579f64b8cff, 0x511f3e4429ebacac, 0x780fb50a362959d4, 0xa21d6a961cbdc259,
0x6d06939fd21cb76d, 0xef3d12ad1ab0c754, 0xc2455c7b4503dc47, 0x06e7f9f95ed770f4,
0x7aac8a14f60bfb60, 0x5d4af428aa85c6c9, 0xbaf01f75432d70c8, 0xd7e39a298d8ec048,
0x2098fcb7a60825d5, 0x9a87e12b49fdc04c, 0xa6c31269ca73e86e, 0x90e3285d7b03bbe5,
0xce9d2d615dd342a3, 0xad8297590eac8dde, 0x495980f6fe34be0d, 0xcaa5216e9fcef019,
0xdb4a206d9d7106ec, 0xe210f6d8083765d4, 0x8c880e4ae81842f4, 0x211ce5aac7f7f3a0,
0x9112ab34b9522e0a, 0x9c28088d9eb361af, 0x169d1768bbe7b4ef, 0x2fdf29cca38bfc5f,
0x1d7c91b2e2e6aeec, 0x18cb4f3ba20a92c1, 0xd86ef8ebb024fcdc, 0xf2a3c4f9b7d6444f,
0xa868d00ad2b90d7f, 0x8045276c3277cfc1, 0x6a1e3d32b12b321f, 0x5f3a136868460cbf,
0x8e5cc1e146647434, 0xc991453fc181e5bb, 0x2e53ef63da828af6, 0x88f741e5a442ff88,
0xaee8f09c8f05ea07, 0x596aa430ebeed2ca, 0xfbf67ddb9f061e4b, 0xb8f4b112569e9ff0,
0x19579d5a908ca61a, 0x1ee4e2714e04e371, 0x341abab6e1667c4a, 0x886dbc62a9e95f26,
0xa03bd6a07108a693, 0x0f07dffa1a7c985b, 0x724569988ede3fd2, 0xe8e1b7818f4113d2,
0xfbcafa9d88429a77, 0xc908e3e00ec06a71, 0xc519e73c73f90302, 0xdf8ddf47287cc5ff,
0x9e7f880cc7f98496, 0x95f2d8842e9e99ba, 0xd0076ab4ce17e596, 0x382e71aab3c9a83e,
0x6f618f30dc4265eb, 0x190c084cdc0b0614, 0xd91cd0ec703704d0, 0x7fcb7a5c5848656c,
0xee5c5478b015f182, 0x746f1e5cb44bafd1, 0x7483822b70ea8589, 0xf80d49c4312e97ac,
0x308d3deb37e98bd7, 0xee04c3c99f407bed, 0x9ba26239e4ef141c, 0xa6e7ed32a6b3d96b,
0xb8348e9ae2cd9796, 0xb39f344320a221c9, 0x7a6ceac688fc4cc5, 0xaa96fbce5c1ed18b,
0xcee2f16ed46a7d99, 0x31e7ae31a48ffb4c, 0x9ff98769517a0989, 0xf6e9441b173099f5,
0x25d5c846d4ba79c1, 0xda39a1aa5ddd7cd0, 0x7d71729bd17ec9df, 0xa84231893cddee69,
0x7d4e468681b07e3c, 0xfc071c8c3f0ba196, 0x2e5a99defb5c68c5, 0x2d35f21c6fa1d0a5,
0x5077483a6c12015a, 0xc3e8a1d7f00d9147, 0xb39f48cbb562688f, 0x6c8b3f2bd9052b04,
0xd2dd4b6d2a637143, 0xa5a86984482b9441, 0x16d54d0d4be141aa, 0x89338cd58c592888,
0x3261a79be7003b15, 0x6a0f74434f838bcb, 0x6118d957e43f3e58, 0xa5687096724754e4,
0x0e2937f091e7cdca, 0xf878457176b3cebe, 0x9bf13aeadb8358a1, 0x1563119d6e137817,
0x0a16cb9fe9c158f0, 0x8c9e2b9011b7bc29, 0x97bcbb7d85a23b53, 0x97ffe6dd3e49237c,
0x9fcb7245137261eb, 0x1981e3be0378778f, 0xed7df5ae39fbdf9c, 0xdbb5046a8ad7e05c,
0x687391e185ac838d, 0xa6584128ed9e7ecd, 0x2643d0821805f321, 0x78fd9a64756804ec,
0x57916a68fdf22f96, 0x87a8978001e0cbc4, 0x99b3a28474a6e68d, 0x3278c23584a55e63,
0x6fc81c4ffa68a849, 0x0e413ff83f642522, 0xd6ba6e5cff3232c6, 0xac76405b3efffb30,
0xa24f106e80fdfa89, 0x90df16eb42d104bb, 0x71c1a2bce2a20710, 0xc6a1620114a601ee,
0xccdfc2decf2a961e, 0x639b571a21f1f77b, 0x850b60cc6e7e5b26, 0xb93b218bee04bd99,
0x4ba0be61e5f586a6, 0xe2bd70101bae2aed, 0xfd28688758c19284, 0x65607c31960b1b97,
0x0248e8bed0ac1e3b, 0xfac95427a2af24a8, 0xbe8d3195eff1aeb5, 0xda37c7fb32c4e085,
0x338a21479043125b, 0x1a5afebc028baea9, 0xab1d9b3f5d3848b0, 0x964ff1e50dedbca3,
0x5f8f982301dc9620, 0xd950fe06b70f6ab5, 0x99453c215a5ee807, 0x707cba2b712d0c12,
0xd3dc8ab577afe3d4, 0xc0a682ab35bf2dbf, 0xea37aff5571d6bb1, 0x5ee6c34e007a28cb,
0x4b5b1d79fd98284a, 0x822d754b38b8b971, 0x0c58464704335b4b, 0xb59d3572d5d70976,
0x77fdae2d786e9730, 0xceb737037f3f689e, 0x27715ec99f1c4718, 0x169cf9d90c1b7c96,
0xebcc6bab0add59f2, 0xf3068f6756fcf6cd, 0x44c8d5c16925ad21, 0x4ae40bbff2836d10,
0x5ed26c79c6894d1c, 0xd6d9cb24b5445d2e, 0x35f49992e3674662, 0x550a3e3183de8caf,
0x14575ecf312f6c3a, 0x4902bbb5d436ccc8, 0x79d90aacb1c5db86, 0x349298bf333ec128,
0x10c92d95d00e1080, 0x32f98f50437a60b6, 0x85ee0c76f589dd8c, 0x4c8dd45f0ee18010,
0x90e535ac678b6066, 0xf0f4fa6f097d4eeb, 0x14a40d5d115405bf, 0x1a5f89969eb4c39b,
0xdecfc7c1bd22a838, 0x65ecdb952ba11722, 0x97efe5bb1c7a55a3, 0x8468c31291aad10d,
0x490a5987bb1f6536, 0x22012bc3e765bf38, 0xb9a63fc565461c7b, 0x1f9d2e9d6ff7e86d,
0x4464d41a80992204, 0x51ef238973d3604f, 0x74a5217d1edf96ec, 0xe09234009589049e,
0x078b6b135f5c8575, 0x9e1549e93dd2250c, 0xb55f4812840fb5bf, 0x2a05c905593ce544,
0xb54c2a7b4e916c12, 0x0d08f2c6f4636b06, 0x37f55f9546ef7ede, 0x0d05f19062cc21f1,
0xc8649fc34ef55198, 0x47f411cda73fbc9c, 0xc143a975348550d2, 0x0d6d11fb99ab6f9e,
0xdb847977f02c3f88, 0xc0df5a1063f70200, 0x1c906205134ae5df, 0x056dfb52d1f2151a,
0xa8571383f72ce77e, 0xc7285f9e0abde084, 0xe74a678b0d52bd70, 0xf3b941d3701ec43d,
0x0221b3ee521e33d1, 0x8f78416953fbe7c7, 0x3f095970131dab05, 0xab02c595fa7dce3e,
0x350bdb13d3345db7, 0x1d1e9faa98554776, 0xa0d755ebe1325e61, 0x96b4b8ea60bc7b96,
0xa938363122b4b39c, 0xb647220e1e7b59c3, 0xd4e63ef78dee82b9, 0x7c61ea473c315e36,
0xc9913da68c9f7723, 0x3065f49ef4f805d8, 0xd1e408903b859219, 0x2f73187c39eb5d26,
0xbcd7cc8c1da12e4d, 0x00d068f5aab9f85c, 0x43e48da4c6f24ff6, 0x81cefefde94e3abc,
0x4ac04676c3162c9a, 0x505b0142e8d2028a, 0xcd811e43379d30ae, 0x0713956fa95904f4,
0x1d3d1d5ce01ddd00, 0xcd0c5d8fb10e8896, 0x4c270dffba49db55, 0x3731517035254a6d,
0x05b940151d93bf6b, 0x4cd91f0d1ebfdf60, 0xd2e637c2791950bd, 0x4695f8a6d412145d,
0x3906e6a624fe15ef, 0xc29a53adc610ddfb, 0x7f066dd3a658ff3e, 0x60311e4d48848db5,
0xd47ea7e7a6ba1bc0, 0x4f03aa0d4ee2dad1, 0x724eb1be1435e017, 0x15dffb3ad0b750f3,
0x6a91da7e0e008f1a, 0x40aa3ace9100fbc0, 0x9cbd4086091a3f85, 0x17ba584e0214c146,
0x06c24e245254d6cd, 0xbe2c1d8b8c235a77, 0x206b3f09969170a3, 0xac977b008785c187,
0x52b2b50353d60b91, 0x7ff8fe55ce83a453, 0xc9758cbcea5e7b39, 0x0ff9e7c40b9f7fdd,
0x4500b3204d3374fd, 0x7af188393e2d5f53, 0xd8e0dd4ec438bf8d, 0x974d9f9cda9406f4,
0xea35cdf9a40a90ce, 0xee10560f7dd2f150, 0x6629dbdf77fe4018, 0x28b927b1ba6f71ff,
0xa111e6873af1eaaf, 0x60c82b469096c9ed, 0xff2940a348b0d625, 0x6d853ed1ccd49a11,
0xc533dd13ecc13f1d, 0x77f01ef16f95fa16, 0xb7af7f6dcc5249eb, 0x287b454eb6a75498,
0x2070dce28ddcf2a7, 0x0c0ea2b77da9a685, 0x1fcab14666be4281, 0x5d5c1d37a7a774b0,
0x576682624c84ddae, 0xcef34a956261d3d8, 0x84579a45668f0178, 0x89fba785feb9d7c6,
0x38dfdde663ed4da3, 0x5c4cb15599dfc575, 0xa725ffbba4491f3b, 0x01d1b2e28ca7cbd3,
0x01c3bccfe3c78014, 0x1b2ba952c699754a, 0x61e213b454fbf9f2, 0x864d9cb7f8c4ed1a,
0x9f426ce566f2951b, 0xaa923ac6493ea189, 0xde61cfbf1792697b, 0x3fcde0fc67b6009d,
0x9b08bdd596e2bd90, 0x57c8fbffb35a39a9, 0x54c351e7fd70163e, 0x1faaa586e173abdc,
0x04f910e4e7d69cd2, 0x07c071378d356a7c, 0x9834386202ba5e69, 0x6b2275603cd339f1,
0xf5e78709463472d8, 0xa7f475c34ad30da6, 0xf35c7ff1e38b5608, 0xd502de26e4bbfa5d,
0x8e423dbe27ac78be, 0x0c703a06c6d2664b, 0x55ca004466eca6a1, 0xd8a953a9e694e7e7,
0x638f18160a8f3e09, 0xd22991066106550b, 0x8e95e027d492f3a0, 0x1bd4ade3bb2fb84b,
0x73d70f9489419393, 0x3a94ebbf6d2b92a4, 0xf516b3cd3b8e6b8a, 0x5a0821c7b1c9ed11,
0x7d2b7bf62dba06ae, 0x8efcdc8a324a2b4c, 0x8633a222c0f00f3c, 0x148df8497afeef8a,
0xbe93e42f449636b2, 0x8f124e96421c3efe, 0x56bace5507de2b87, 0xd1fd04e2f9bbc971,
0x47aadabe3a4f41a3, 0x7bcd91bc772b4a4b, 0x47a1e7426559557a, 0x967fdd038942d9ec,
0x5b9ba0986c50fc26, 0x8bd8e205b3d3e98c, 0xc18f6b02f86a9e28, 0x66d2672fb1119cb3,
0x1191ac04b3ce431e, 0x709d4cf205ba79f9, 0x033b5f01a2854c1f, 0x62b1eec32bacb556,
0xd54189085ad817dc, 0xe40f6ae0c51d2823, 0x0403c762e71c819b, 0x5695716631f224ca,
0x03b6e20ed00e8800, 0x5440717037f13054, 0x8201a8a6b6ed4196, 0xc4768d3063d2fb65,
0x789f92947c37db28, 0xbec6369c1f6ac419, 0xd13ac76d7f47678d, 0x0312b75c56b322a8,
0x9edc6892171af139, 0x6e44f0d4b361d904, 0xd185f4cdc16ac922, 0x7602089aed899873,
0x3659cae46334b308, 0x2d1f5d845cd56a39, 0x7a6d7931516eb2e7, 0x1c938bd46b2a3ac8,
0xf8841354211159db, 0x8eaa70ad8b33805e, 0x8eacedbdfc4543c1, 0xbd5d70c64c63f6b6,
0xd479809b1823f5f4, 0x6db286e9ce50a70b, 0x5922145d43ddbef8, 0xa2d366591b25847f,
0x6e9b88694832aac5, 0x0647dfd325b775aa, 0x22a0044e46fa35b6, 0x2f876c203426e894,
0x17989d50a40a6dac, 0x6869250c30dc012f, 0x3fd959f3906e1eec, 0x9985a136336e9382,
0xf42e3e7d291d048c, 0x17a43ef715612957, 0xb5a7c4806a4bfe2e, 0x884995127035712f,
0xb168aa05e48f32ee, 0x328ab9cd3ab0cb67, 0x334b17bbac8b1784, 0x1781f2f118cb83e8,
0x5f64a67775a16648, 0xa6a00f503301cf74, 0x3ad542b9f92ee37c, 0x479b17d4542c184f,
0x873830e421ad76b7, 0x3119ac128c572c13, 0x772daf77c54845a8, 0x35a08f7b3f5469ed,
0xdb4796bef1f7f708, 0x27de394f50df1b5d, 0x170c5eb348df71a2, 0x8da0f6934e65739b,
0x454907bc420523d1, 0x654653c403e4c330, 0xd60bec91c0f2d796, 0x4df6189e94e8af68,
0xff1704b2c163b530, 0x3c546403a588c79d, 0xcb815f3510c411da, 0x9cc67a0f87badb31,
0x00e102723cf0cfa1, 0x3e4d9889d7a9ada3, 0xd856c12c04401bbb, 0x3cbb37d86cf80ad2,
0x385fbd0fa962a72b, 0x8aa1c2e852d51eef, 0x3111771a81fea7e1, 0x2adbab164473c104,
0xc79454d92778e3a7, 0xd4de86bee7c53763, 0xf975471361ce1f74, 0xff53b221b3340749,
0x21c83d6a4b54cdb5, 0x6f8217a1c20ac318, 0xe41b38db06925dd3, 0xa70b66b85969b519,
0xfec59d517772568a, 0xf151ab8d6c4e577a, 0xf147490e4b13c538, 0x7362b37ab42d2a8f,
0xb776b9fdfbf04c99, 0x5de66b8d2c03572f, 0xd6aafea40f87458e, 0x50c838e3af626690,
0xf92754cb549ec5d9, 0xaf9d481240fadba6, 0x26c818e944293d97, 0xb73faeb6ee337b70,
0x14a8b1295a1aec48, 0x5177599efef02c4b, 0x2584d2a2c3313190, 0x4d3bff9aab7b565d,
0x8e2a71470acc72fd, 0xd36a72e7740822d2, 0xb670a2f584dbb89c, 0x5206e78416cb3b6a,
0x87c751919169b51f, 0x02997755004343a6, 0x9b8d3c7b41487c20, 0x3e0bd6111b4287d1,
0xccdcd0f680dbae4c, 0x31ceb43bb8dffc08, 0xc1bf34d7d63b41d3, 0x459fe030df6cc3c9,
0xcaa0cc4d70c910b9, 0x6bef2516b746ca3c, 0x24e20744bbf36ef8, 0x239aeb3f444d052f,
0xc0949583958f8633, 0x33bd9a430f2b54a2, 0xdd8a959f21a0a9b7, 0x52ef00ae7a39d4f7,
0xa8ab3d1aefc29fdf, 0xb8cc7dd5dc46bba9, 0x31c38ef5fd21c21a, 0x6886b4f5ab487343,
0xfc216082aaed970b, 0xecf3637845f087f7, 0x65c3686003ecc7e2, 0xb9ed68b04e297ce9,
0x3f36ec19770da1fa, 0x756fdb017f19419d, 0xfe7db08b77ae2973, 0x6fbe12090ebcf0e7,
0x852c9d3598dcb8d6, 0x7042d7771aa740ff, 0x9c72bb6d176f07df, 0x7e5761cfb120b3c1,
0x57260961a8e5cd97, 0xca2e120a46c0989f, 0x9d05b33c91d76ea6, 0x451455bfb30a62e7,
0xbf8d6b4687cbe7b1, 0xe089d47fd306ab87, 0xac2e597653ecdca5, 0xdc191d79888e1c34,
0xd5c1fe3719ff0e62, 0x9b874f912007d3e3, 0x7d739e45faf33f90, 0xe705a51907f8200b,
0xabd796266778603f, 0x572310f379a4589e, 0xa143998fe4c05fc4, 0xeac45d302e06c866,
0xe2ee86749e4e6991, 0x16ffc457eee9a18b, 0x87e56c7b5cd614fd, 0x27f49d71d0a53a96,
0x22df607982c3e0f2, 0xb21c4082ec7fa358, 0x1f4c16b8ca537bcd, 0xab40398be4f0a96c,
0x2048b050f84d4f35, 0x4182c7fc26ba92cc, 0x6c8d3881e1bc1fc7, 0x7fe4ae7b21df29b1,
0x350a2fbb61d8ff5f, 0x7a7240c60b396dbb, 0xc84b2544a083ebf1, 0x556b858ec60cd574,
0x0f7f68c821d23fea, 0x09447e107b0e9f94, 0xe30659c66ad5d8c3, 0x4c43069ed13b5a07,
0x5c1f813f7c9d3ab8, 0xbb649c86aca37d86, 0xdab549708c14a550, 0xb9f38b094e34323f,
0xf4a680b33c3522e7, 0x56db76c4e7c812c5, 0x653591396a07baa1, 0x83c19a8b38a9f3ca,
0x85eeb9ec1f7d4199, 0x841915b55ae12a3c, 0x4a8d75e8eef4e33f, 0xc02423681dc148da,
0xd0ae5d2a15a25dde, 0x00adcefc2ec88483, 0x319f849928cf5003, 0x3f2c9abf91085d16,
0x5809d7ef7e72ca32, 0x4892ba2af9bc255d, 0x0ba79e9cc5cd7d99, 0xa93543ebf7b852f2,
0xae487de0e939465a, 0x0b9625993f4b2952, 0xa5e345e9a12ea00d, 0x7ff0a7932cf8837e,
0xc911fa2173cd5c82, 0x1907daf2d9f9617c, 0x952005b028e08022, 0x01d0f6fa16aaf76b,
0xa98e3a84b2f03427, 0xd649bf140dd0f6a4, 0x92e109d9db0885fe, 0xc4c1e4852ae19f0f,
0xfd4244f6fd8b1ec7, 0x382e374e5224ea47, 0x3de7152457229a61, 0x3080f3348e599bed,
0x8af858c87152ae5f, 0xc62cbda2cbda1e01, 0x816525c4418de8f3, 0x7df97929b652bd61,
0x1647e46dce394b19, 0x218aae56b7e15b4f, 0x001b9c655ad7cd50, 0xcf9a95ece9ab6e9a,
0x44f0bc945369c81d, 0xbf743cc9e195663d, 0xc0f806f1dd906bad, 0xd8dbd59384217dde,
0xc333c0eea88ea071, 0x1b2bfea0c7310511, 0x86b2a3e9bbedd577, 0xe363225f2fe5ca52,
0xc5fa61175ae57b1f, 0xe55fd5731b4a1745, 0x30aa73768dad2e60, 0x1fbb005063322af9,
0x833db5e1bbaa87fc, 0x908ae9ea6486c431, 0x7b87ee310160a515, 0xe5c147d2d79a6c9f,
0x37f0901244b0a59c, 0xddef6946863a4230, 0x726de91defc5a40d, 0xad4420715257d6ae,
0x38ed303408196fc5, 0xa2cbc9b536bf63c8, 0x1d1b52d387f77e53, 0xb32db47c6ce5209a,
0x13de4726a12f9544, 0x897a078286e0ffb5, 0x3640bc23dea72e0f, 0x117526606fc31f4a,
0x9ba81c370783934d, 0x85e3cd3a79fa4cd7, 0x02f050388afed867, 0x184d024ece089815,
0x68be8b4fbb403d33, 0xa9ccd3e106aebcdf, 0xe804d56e32de327f, 0xcfea5ba43cf97c00,
0x3b2522c75b9869d1, 0xe256fb75c3704b5f, 0x555196c7203e7592, 0xb68baad0b1156488,
0xd7a0ad3478e65456, 0x1533b4a622069d25, 0x1d01e90bd43d667f, 0x2b76f7ee53a96564,
0x341dc0f1b6809549, 0x2a5632463915f239, 0x99b45c62bf1506b4, 0xe431ce42b3641656,
0x0263925ff02479ba, 0xb9aedadf7d92d95b, 0x6142d5eb839bb3c9, 0x6f0c8c61b99b510c,
0xd604ee367f1386da, 0xc3e8ffb4e8f2140d, 0x284a3574d5a88d1f, 0x5aa963bb5d548d2f,
0x5c77bb44c914e590, 0x3400e170c0e907ba, 0xa1c24c927a2434d4, 0x4ed55484a833aec6,
0x0cf5bb44dd1854fd, 0x6111efb00898de1d, 0x9e58e0ecf23c020a, 0xde15067dc2ed809b,
0xaad4332534a80399, 0xd964c2393c45eb08, 0xbe26363b47873262, 0x1403dc1b34de805e,
0x73b022c3eed8b9a7, 0x3198dc8118838200, 0xa7df6e3903bdfa0b, 0x55dfe1daa7693f57,
0x4153a2bd15dc3c95, 0xe0db00ebd7102aaa, 0xd809d0c16b562d4e, 0x33f68c07455f948b,
0x0ff2ad37ab775ffa, 0xf45eaf4aab728258, 0xd61bda838549e4a6, 0x91a25a3c25d43a9e,
0x584fd60356ee5394, 0x78b7f90f16b82bcf, 0x51742ba9fa7084c8, 0x735a63c338033963,
0x88519260196f8f88, 0x5741e5baf090f319, 0x7fe464b6b7487b42, 0x94096736834f17c8,
0xf341ccc2256ef239, 0x9b32e0ca197a5a7e, 0xc222e8e3a91d7a9c, 0x14abbf6529b4f9ab,
0xb5c5a433996fb92a, 0xf790340bb517e4ab, 0xdceec1394e5ebf41, 0xe87b35ef8f510bbd,
0x8af38f8b1c0a165d, 0x0d93e9597ef01aa8, 0xb69089c00aacb168, 0x86df700cd1d7082c,
0xd2cc9d867312fa29, 0xd3c91a8a6d8485c6, 0x200fc36e63bb45d0, 0xf9e3b0449e9408c1,
0xcb8cc66cfd8b5eb5, 0xa0f2147892e7cdec, 0x405a3d9078bcee38, 0xd3e41c996f792a6c,
0xdf0315ace36a07b3, 0xbef02c951a7fa0d7, 0xad501d9618ce8a1f, 0x1f4716a11c295aff,
0xea69d7e73cac91b8, 0xc812d38905c60b2b, 0x4999ba140e86cf85, 0x16086d394098f396,
0x28cce63cb472467c, 0x0333d54a83335732, 0x3fb5798c542c686e, 0x9b3eea69ff0b269c,
0x1dfb9b8bfcd62808, 0xbffc11ba2c2cd453, 0x84fa1263dafb3ba3, 0x5dd4047e7d1b6536,
0xfeee8e4c06dfd4af, 0xd0574c9826b91535, 0x0eddfc4713c847d9, 0xe3a211fd760c6c0b,
0x96cb56932021d5e7, 0x1245962341804b43, 0x203aa3e5851c269a, 0xd2dab9454ffaea14,
0x745407c6245e9d87, 0x3652768d77ec8385, 0xc898d68999756ef6, 0x5e40d61be1cbead1,
0xe8d130a4227acd73, 0xfd8349c75e36cdbb, 0xacc5db39985866ac, 0xab2b759b740c480d,
0x11c6cc7766427fed, 0x8a32a32e0121eae5, 0xf44f9272d4735d53, 0x2399d575b3fd249d,
0x5be74f2440959d9d, 0xb4f528db8ac82df6, 0xa0d3ae1172ad86ed, 0x0dfcc68e485456b6,
0x4bb9dd3d2a555047, 0x97f564156ab0e66e, 0x54c70edadc373694, 0x819e46d346e33eb4,
0x621f4ba4d3a7ef90, 0xc960c804439fcb76, 0x80d076c77a7f6d3c, 0x7b207004393316f1,
0x8bfcb18140b35e85, 0xe9fd8a1dc3c56eb4, 0x9528a818a22772c8, 0x115b10779b531fb9,
0xfbab9c458778f238, 0xfd5fa694b61e34bb, 0xa113d9ff58515007, 0x1aed06b9ef841e05,
0x6f81fa597ae350d6, 0x40cdd9ddf41d44e0, 0xd099413b93858fee, 0xaf6ca1fb12d510e1,
0xc8c64c59a739efd9, 0x2ea053d3921d53d7, 0x1ab67abe81295eae, 0xf6b366a7ec12c9ad,
0xde8d18aa3756b150, 0x89f02aa607ae4b4e, 0x52a4dd43b3ddb14c, 0xfbbe8a7d19ab512b,
0x6c167a64efb1a243, 0xccfac4abe42fd439, 0x3c9595103e05a3f6, 0x0950b9df1e207108,
0x6a03d09c32dea7a4, 0x5e88eb0d10e08e4f, 0xda0f548719fdc820, 0x5f37e1cd685fb228,
0x4bbe370def21cd23, 0xb03fd7d70a5899eb, 0x9c846b472498b2bd, 0x44742c1c9f04780a,
0x0225a479c5e82e45, 0xd9ab3efee0944892, 0x2b93901e09ae4973, 0x63ae5dcf5d76bd06,
0xaaf9cd361ec18062, 0x0a9de070f631d8ca, 0x65a3f2e4083aac65, 0x802e4410dff9f5ac,
0x933e1c8552c8d36b, 0x77242c4459fe96b1, 0x6929173bb109da96, 0x4e28787618c0119c,
0x4e0641d70ae0c076, 0xe062b0cb2b5d5057, 0x66e86231a30efdbb, 0xa5224c68eb491ed0,
0xee23a5a0e5168837, 0xad13f7f50bae58c7, 0x6255f18b49565ec8, 0xdb6c284dd7468269,
0x7522197396a6ce0b, 0x74bd7023b732ad5e, 0x209bacc789da78f4, 0xb1a5d83bd2272465,
0x64ba935c4cdac539, 0x9cd8f52f323cd65c, 0xd7befe83a1cf9b21, 0x7c9ab780e37e70d4,
0xaccd3539ad967c9e, 0xe58e2e5872d112fe, 0x8df0850bf00a00c8, 0x29670c2ea3485f6c,
0x7280ba22637d6758, 0x63dd8ef2f10d76e6, 0xc617dd1817288bb1, 0x2ba3f593bf81fcd7,
0xb69dc3f9ec1ab163, 0x3536787d7beb5418, 0xf4b8ba3815762e6e, 0x062389dcb87920c0,
0x3f39c52850f34b56, 0xca223251be5b2be3, 0x39db9670d6fa5924, 0x50d41ba8ee8792a9,
0x4b98c18850bdbf66, 0xeaf31c1976874c17, 0xeab28fb2ee7d9101, 0x530155a69be22942,
0x579ff0e03fdd7554, 0xd58b588abcab598f, 0x049c172d092268d5, 0x9ff22f3b94946989,
0x5a69791413e434d4, 0xd1d1807ea7fe76a0, 0x41d1397dc454cfa3, 0xdec2fc5f824c5420,
0xe07533eb58e3713f, 0x7d1c546f4612ed84, 0x3f4fb8bb23e75459, 0x196b2138f87e931a,
0x669436452dcd4c73, 0x14243b4526afef43, 0x0146bdcbe1d909bb, 0x71215ed142e9f830,
0x0ab820250a76c669, 0xeb8ed1dd4be5f41f, 0x32fd2b77f4d1aadd, 0xa86b380e1e8d2ea7,
0x1674ef4edc54a2fd, 0x058c633280af995d, 0x86690f059447030c, 0xb6b6ffc387dde5e0,
0x29eb633f897abcef, 0xf193a57229da4b06, 0xfaaad5ad5d8fe969, 0x4d7f6dbcb2e629ef,
0x40982c877a2b19b6, 0x36be19582fe7768e, 0x97b45b12154ae2ef, 0x5b608cac9c8def94,
0x8be5e7201e276d9a, 0xa2bcbb964ed449e2, 0xdc91b2b2618debc1, 0xed8e41c8922df1e9,
0xe4f2c8e39e784b30, 0xa1110773ed8469ac, 0x804a7b72e40b7588, 0x77303caa04aff440,
0x13bc78bad5baefae, 0xe1e2a3debb636ad0, 0x9de81c54ca0a5cb5, 0x235f08d4c5e790a7,
0x8a87b164e2b0a8bb, 0xe66fefef0a7c6659, 0x40ea1993063a88c0, 0x846835f9ede4f8c8,
0x3ffb4e60a5479445, 0x5f9e7ba458f7fc20, 0x71fdee06d321fc2b, 0x258533b53ef06dc8,
0xa047ac673e94c324, 0x549634696280c1ee, 0x9c3bcc2ae57c1d59, 0x95d568720240e50f,
0x756c82aa16220d52, 0x38f2b02c9f5f56b1, 0x6d332eedb7aa2b76, 0xd72628fb270bd114,
0x2f641f6144329682, 0x5bc5588cf218afeb, 0xb20bc520b403382c, 0x1a2022f2b79a1fab,
0x6609297faf341f8a, 0x29f2089bcc31f0ce, 0x82b978abb7cb46ef, 0x55bdd936d6688a53,
0x55edf1199d86b7b6, 0xc12a6e907661e9ce, 0xc3e3f7ba1ed737d7, 0xea0fdfcdbffebcc4,
0x9d7bac8653cf3ff0, 0x2b5fad18ffb37042, 0xac108be56cfdd26b, 0x7ffcd37c0309e203,
0x1f14d7be0a24eea3, 0x470012824b447d7a, 0x706c45e5895c300f, 0xe90b7a2d44d0e521,
0xfd8f29ac3919f6b0, 0x2f55fbaa424b512f, 0x1333a55d59e80098, 0xce970ffc0a52f139,
0x1e1a1a8b3c9d6d81, 0xc004504e92f2c6c5, 0x9f3eb3504e689aea, 0x4fb5b57ddec22072,
0x0f485e8ac6d456c0, 0x62c92e701548d5dc, 0x2f3203f5ac47def4, 0xde0598028ac19753,
0x4133c6596aac7e05, 0xdafa4399a0ce47e2, 0xc6538bcbcc4bad6f, 0x5b397fc52fbcab1f,
0x84e2e02302ed81b8, 0x40b8dbc5e94933fb, 0x6986bc7ad444511e, 0x438deca4bcdd9aa1,
0x230d1e595346d5af, 0x3e3d6eb2e40a9fe8, 0xc2bafb69cb478d64, 0x68f9e2cd55df7c56,
0xb3b1e5bf16e3805e, 0x66ab9f4e0c0a447d, 0xc7cbd2a5a9c31b3c, 0x6da100323d6a43d9,
0x0095438529bcdafc, 0x27df57bc0bd080e8, 0x61f68ba946773e75, 0x0bb4016ee2b05731,
0x3e99f8affa6730f9, 0x35f8cd06113f8140, 0x692be58c881f1497, 0x6850fcb71f4e3437,
0x0dd0c4f5da457363, 0x45d54b3bebdf7783, 0x6fb1cb19eeeceab6, 0x5ab1e795cd1213fb,
0x76b7cde88be3f857, 0x454b65e885c475e8, 0x253ab99c7ad47c3e, 0xfa781d50ecaa1eed,
0x7d4b3481c8f29237, 0x9877551da3c559b1, 0x991294f242661e29, 0xd4f7a6253641e4e9,
0xbb013a4c535e74c3, 0x0d9da78470983d54, 0x8560f7df7c140fe7, 0xe247b7b8cc1280e1,
0x1ef70420ebf1dad2, 0xf1cc1ea551d17d93, 0x736eaffaa3f61fd1, 0x2c5b7f21a0ee02f8,
0xe00d3051d43521a6, 0x6a8aee9197979abc, 0xca8be1d72fb24080, 0x2c83c30b00d928f6,
0x8282c3797babc781, 0x811935570dd3a6ef, 0xa1bf60537720163d, 0x5ceec0878e299016,
0xd95db7fad1a992bf, 0x75275a08984fea7b, 0xf3a64beca260f9b1, 0x06ae7891eacf8ddd,
0xe74a604b26ec114b, 0xe5e8795494a413b3, 0xa4c7dc355c1f1c0c, 0xfafd10bbe1c22887,
0xb4d4744e6df0729f, 0x706badb38a285796, 0x25dcd7aecbf62530, 0x84983d6091531ed7,
0xf9a91c1746e986ed, 0x8c3c48d20594095b, 0x48382b612ead5e5b, 0xac0de8dfd0e34903,
0x94fe970253308518, 0xfeba7a72c06ca7b5, 0x6e439bd87fb1dc6a, 0x59659aa0e780335e,
0x500bf820162e6fc4, 0x3ab4e4adbbfeb856, 0x43981f470d82f41a, 0x771674b177628e2e,
0x075eab258ab653c2, 0xaee2882a943ff301, 0x1b27473ca58ffaaa, 0x737c21968599133b,
0x25d792ddf94f79e6, 0x2dfdc6525cc00029, 0x24aec78423bf5c57, 0x5b106eedb81f364b,
0x2fd8db7d3c2b13ec, 0x5f7f95fadc9783ce, 0x1799e120f077f6c9, 0x1aa459a91f6a36c3,
0xf3321cacb1511dcd, 0x1bceeac6187df713, 0x410ee9b376f30452, 0x793609400365981c,
0x876e75d887f2f101, 0xdbc1484e8fb8706c, 0x75aa05b8f6ed9191, 0x14d2f3a1ca95c6bd,
0xcddeb10130d22eb7, 0x52ed9ad38503b576, 0xfafe57cc176c0403, 0x8170cdce34667c11,
0xacd06bc0780ef149, 0x195a1f0cd6ea9ff1, 0x713a88609d46960d, 0x93934526a00eb72e,
0xb86b22c03e712846, 0x7219b6bea25d35c8, 0x4bdd36e3c2978c6d, 0xa0cba610e2905b16,
0x298ac7d04908ad60, 0x46428b07c44e6887, 0x76d803bab3397cdb, 0x3684fa6529248b83,
0x1eb3a76fe775d12c, 0x9c58c59842629fc6, 0x4da36a6d1bdcbe5f, 0x159e5f58f8a3b540,
0x7b453db9123b626f, 0x4e301fd6246c0cfb, 0x7aa6f2679d795e91, 0x11ac21f461c06e01,
0x65e30767660afaf2, 0xed53849379ea1b7a, 0x1faa814c84551f29, 0xd086aabf74a7f5f4,
0x1fc2286d10b4e812, 0xf3b4ac72eec0cf4e, 0xd1b91e287d541729, 0xf15cf8717068fe3f,
0x844f54c7cdbe429a, 0x822d30345754b8d9, 0xceeb383983678b1e, 0x98d230d30024ec0e,
0xa3b5999b9314c56c, 0x8f3fdc8755b19754, 0xd3f3fadcca90872a, 0x204493e688d23400,
0x4d93155dbfd67387, 0x52603a37b2a7d72d, 0xd3dd90b6faf2a91c, 0xd86ba08d63f3bfa9,
0x297ea48709c5dcc8, 0xc5a60f70c232627c, 0x81f2c85651f8ab9d, 0xf242317d5d72fc58,
0x40fc056098555f8a, 0xf92573b1f80b7be1, 0x348d64773f64aae0, 0x4d6ba134b1b1e2f6,
0x524890475a4832b5, 0x4264218ca3f77aaa, 0x5e4505757bc44459, 0xb9c2ec758a2900cf,
0x761e865824383c84, 0x7eb27b21e816f477, 0x654a05f40b3945bb, 0x1c0351ed82cff701,
0x081e61762e7b4247, 0x20c7b3c613052d4b, 0xe890d639976d834e, 0x0e010c137d82a90c,
0xf3c4669c734d3405, 0x2a69e3054051c51d, 0xd26532d6fe62c58e, 0x4e032b14c32861e9,
0x2b05bcbeade9c8e9, 0xf5325c27fd2186ff, 0x09155cd5996fe687, 0x0741672c5c9d8e02,
0x19e9663e9782c659, 0x4a17e9acfb832692, 0xb7db1d6020534ddb, 0x4eb80a906def8ede,
0x6235ddf37fab84c5, 0x90b7ed200ff636cb, 0xdb567ffa21f84109, 0x6a6f290a5339dcbd,
0x5a310ddebda79471, 0xbf4270200b033ddb, 0x5a9c0ad6cb2dc8bb, 0x578461089fb75ee1,
0xad30333392c9f417, 0x6b2d7fba9f09604b, 0x9e3ddc5cbe2cbf08, 0x55c3d2f1464d096b,
0x307cbb8246bf8dcd, 0x3730b0f1012eb0d5, 0x0c8393a4d48895a9, 0xb117032d9c0dbd50,
0x3e7dc4b693dd38c9, 0x2852d037799efc60, 0x802884a5a4f90bc7, 0x0ff140f62396f353,
0x76c938109c8916bb, 0x0866bdf44a64b752, 0x7afda533ecbad279, 0x6a4891e0cb73986e,
0x27ee88fe6402e8d6, 0x8e09ad5d27313a71, 0x1387b8f864e2a0c3, 0xfff6cca7e3e6a376,
0x7135ebe4f69c5ae3, 0x29b0156c4aa766a4, 0x2d3a01bab5ee2721, 0x10e90946003beae1,
0x222f554e8299dccf, 0x9b8edaa2559591cf, 0x83c130b08b685cfc, 0x6ccd28cf1865ec9a,
0x404b9658d953ae89, 0x2a5c33d1a1c23689, 0x53013a1504ebcc19, 0xa2c33e30eb913f3c,
0xb8b25004e9250f7d, 0xc58b720152e893ae, 0x0697bca1562723ca, 0xf2acbc9931d28b99,
0xbc4d734f9eadfdd3, 0x4309a532d1f69b88, 0xb2ea7225a0dd1d66, 0xfc3e6525acd73353,
0xe63ecd7e8ab7f786, 0x9a02b18fbe3dfd55, 0x00009e77589a68f3, 0xb05757942afd3573,
0xb7604baf88a47fe8, 0x203c3469ed5fb3db, 0x9e285f0d1415d4d0, 0x54e57b00875d662c,
0x68df74370c2264c7, 0x2a88510cfab58a2a, 0x25b0428b18986c2a, 0xefc221b10e5bca0f,
0xba3bb182af5671a0, 0xb95605adcb6d287e, 0xdd6b836c2f8159db, 0xfaf7a301afc80cff,
0x00d957f240e7ad38, 0xf70524efec05c34c, 0x86369e947b9dc9b7, 0x31323c4ce232cb02,
0xc2cf47c2dafe18ab, 0xf441fa74cdf35fb5, 0xe02032f4930e8935, 0x1ba3ff67f39590ea,
0x684b7e869c2cd13d, 0xecbdfb9243e0cd6b, 0xa34dc40982f070a5, 0xdfcd4ee911b130a8,
0x7b318b977c5da342, 0xfbc0cc23ea1ce086, 0x90823289dc113374, 0x5e9e417cdcf0cfa2,
0x4da5c4737fab7524, 0x9c287bacfc92866f, 0x803886d6f883ea99, 0x07aba60c09a22b4b,
0xdb9cc27dbf1ba1d8, 0x0579aa9a02ae92cb, 0x7a80e3e3727eb657, 0xeccba0498386d34a,
0x6f6ee44287bbad01, 0x2c16efac48d23ad8, 0x1d89636be65cc278, 0xd8d311af06f78da6,
0x6f1f62a014fe163f, 0x7536c21aa75e5122, 0x64e8c6ed73bf033a, 0x526371c1c07eec0f,
0x7f3e19b04884c9c9, 0x3fbcc4a06f8f0009, 0xbdbd45be1939cde4, 0xac3a9c988a0f219b,
0x95ed7eef5e4dad56, 0x0afb30ade0fa5713, 0x5cfa36408822abcd, 0x021d64e96ed444c8,
0xffa99bac71612c8f, 0xf7c90e3b17b50c50, 0xa95c4897cf07440d, 0x0c9995adf85a584b,
0x2cd77ba5e4a26dfd, 0x95560587993de26c, 0x661e8e35c7c049f1, 0x87bada3f76e09e5d,
0xfeee24b8d6e97f36, 0xb1004deac829b857, 0xeb51027b4e72dcf6, 0x47860343d28b40fc,
0x288408f94b075f3a, 0x8093f95fdf799172, 0xf1a6cc6f4b74bee4, 0x6ac2ce913693a5ea,
0x85226f249026d3fb, 0x7677fb2d1451f3a5, 0x6fd32728fe4ae65d, 0x3187d5104949ed30,
0x3fa34a1e953e5cae, 0xd2872367a58450b0, 0x9252b32f5e423646, 0x7bc65cf4e72d0b2d,
0x5c92da9cc6f4fb49, 0xf417cd08687a6d74, 0x891a8116385721e3, 0x7367ff0ce20bad6f,
0x8f81184748ec07a2, 0xe97916a44a9035f0, 0xabd7335b3f8db96b, 0xf435d70af3b6ec7e,
0x7ef5a8abc69362c3, 0x8112c67d568db8d0, 0x9d8f9140a936e6ee, 0x01841533a6945cbf,
0x0c88dd7ee278fbe4, 0x2675add415581159, 0x66a84a1a8598a0c0, 0xa655b21e7fb9bde9,
0x1c6a4f5b346b4e03, 0x0d812b378e45123a, 0xb76dc272c7d4ffc8, 0xf2fa977bf6236c99,
0xe53a4e10f1127e58, 0x3685fb8f6a99fdbb, 0xa6cdfb6f3eb88059, 0xeb0d9b9231464f11,
0x58c1ad3d9099ce81, 0x68d7ddd698709e76, 0x988e555847be1260, 0xba9795332cbedbaa,
0x7f7932085c3bb30c, 0x835b299205f22a7e, 0x29be38eb1a3a2008, 0x2f6b5276b7793d24,
0x013f0b7aa3cf0b4c, 0x793f3a0bf3b8c1bf, 0xfc166342d101c56f, 0xc0067de1923a26d9,
0x87b84789dac694ba, 0x5dba43616bd0c68a, 0x17c92e7b7c1372c4, 0xda5a18166c0d87dd,
0x4d2fda4ffca3c1e4, 0x61e35569b3052d11, 0xcde9b16f4ac4b15a, 0x3b8eb91483c7abc6,
0x3bae3b780fd988df, 0x25f386da6b64771a, 0xa270b9754a842d23, 0xfaf0660efba4af20,
0xc52f6e9b0d930016, 0x420b2276433f1084, 0xeb5203326985af94, 0xab62277e98ea4331,
0x5c1579336d815e8f, 0x11c3c74b023835d8, 0x4a169e6fe0fe362e, 0x9d26ddbcc2f915af,
0xf6e858d89a72de23, 0xcbf04f7caf05be7e, 0xba6de0e0749a0377, 0x5244e8573b6d4135,
0x9fc9d91f87abccdd, 0x18e9cededb1bde1a, 0xfcc448978e7beaa2, 0xfb1d8e002ba9b852,
0xa04666ebadb8f65d, 0xb67843a6c5c9e9c6, 0x32d9887dd3028b92, 0x51381050ea0522d9,
0xf6b755dd6dd15607, 0x4fac0b7a04780a83, 0x6bcecee5115e0c0a, 0x002d65301846c3e4,
0x242389b56256aed2, 0x5493b33727337f7e, 0x6e4c246ccf9ae62e, 0x580f6c2fbd84f52c,
0x78feab157b0c258f, 0x34df24b5eeab2b27, 0x88a87bf6216abf60, 0x9d75525b86165d14,
0x65ad4eff45c09e06, 0x3e68b27026312dc0, 0xb04ecff45e11562b, 0x1aa3a3e0b27ee625,
0xe5d705c27a1be709, 0x5802b259ed6e3d67, 0x040d594d0436264d, 0x70d6d5a40e1ea48c,
0xd67d0b9f6a24da15, 0x8ba9036ff8348d09, 0xa25b0d5a27f37e79, 0xd1e33fc657dfe209,
0x980ebf4cf7c83d9b, 0xe68de6bc5af00815, 0x2e74c43566954678, 0x7497764591a81a86,
0x5578a453c7d7168c, 0xdaaf0a3b33e9195b, 0x28ef49c68282e47f, 0x4d2bcd04792ad340,
0x5e7abbc03dfdc56e, 0xa5ef9a77cb92e794, 0x918c7e08cc44da38, 0x443bd4a7add01449,
0xb1689cc0293e59b8, 0x376ae4eb7e63898c, 0x48b6439b5155247c, 0x9b6bd1bb5fad621f,
0xbbca2b0db8ef483f, 0x60839b79b1fd8077, 0x53896df7b49fc2ba, 0xedbadd81ad675287,
0x439c07002d93c773, 0xbc0b135fdae0071b, 0xd16c36ea859fa311, 0x9a2f59f18e5a336b,
0xd7f022cd2acfab8b, 0x565c4ada530783cb, 0xff8fc630bef02782, 0x97e6f8513cc49eaf,
0xfd34ef4ee526a2b1, 0xdaf614da8bf00162, 0x004c0fcafc0e7e5d, 0x44f15551a0edfb62,
0x56bc0f68be7399ac, 0x1d4b074edf46748e, 0xb3660b2bf82cf330, 0xac1fbaecaf897e55,
0x85bea8578d688ec1, 0xf8384402ee5ed763, 0xd3808926506f4282, 0x71a32c9f12d502ff,
0xa824d97dfff89f18, 0x13ca3a0f002eb2ca, 0x5b59298466e0c7b8, 0x5979470d17f26aae,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x527bc06b69d3c6c3, 0x05498eba956c0576, 0x8af60ddc108e2cd7, 0x525cab2ffab7d9e4,
0x876279cb60382bbc, 0x35f80465ca2bea54, 0x1cb75708b47262b8, 0x454d184a787480a8,
0xf84cee287c5d5d24, 0x77b9ee8ab8465bff, 0x8b0705bdc161999a, 0x99cccc004bef1a29,
0x76d9a4b18d584e51, 0x934e1591e4c767d4, 0x0d68e5ddaff0b1c9, 0xb95e68b04147c852,
0x58ec6f70a9ec2425, 0x30540079823bc9a0, 0xe475cd6a3fca0cdc, 0xa37d28da4967f14f,
0x7fce8638fecdff45, 0x98187280ee74ea16, 0x4f9d2fa1df01d9de, 0x6a542cea7cd3b94e,
0xda3fd31eacb4c0be, 0x6c4897a56975e65b, 0xce21ba7b2f3782cd, 0x87feecc2b2fb1245,
0x20edf5aa560d4a58, 0x0bedfb01609cde9e, 0x2ec53f5943829dc3, 0x01fa61eebd049076,
0xaa0ecd8ea37992cf, 0xce2080d9d9d3d2cf, 0xd2d4662d9a071cda, 0xe1fdf7f5d37a481e,
0xc9c2a730fe3a36b5, 0x30e52565fc9dabfd, 0x38571f188d4dd4f3, 0x66efc528e471f9a7,
0x8dd25558c49bd972, 0x2312737577df3097, 0x614b3979db2b79ed, 0x6bad0b0b5cb516d1,
0xe49bf01be371b050, 0x6d4164ba4d12f7a4, 0x7bdb13874255f3ef, 0x9a1d5a1ce1ebdee7,
0x52a3b0638af27831, 0xce52b48c4468b91d, 0x4c89e8b6b417334b, 0x225d500b3d251ddb,
0x5602211f8c27777b, 0x58329b879ccd2b34, 0xbb737d59a15cc10b, 0x1179d6efaf894ee1,
0xb5eeb1f1d16038a4, 0x8b79ae4a94af87ac, 0xc0fe0599d51b7e3f, 0x2e90a083f45e5a2e,
0xd3bedc90fcbc932d, 0x6fe5e7d09db47405, 0x737e67a05d097232, 0xe424d7cc9afd00a7,
0x4b6f985d28921434, 0x94273884f6c42b59, 0x37929f69bf344e72, 0x4f8e4cae2ddbd892,
0x1c13fc4ab1ba0452, 0x88e9564d129f32a2, 0xdea8e01400a0b7c3, 0x3b1d1ca457e316d8,
0xf5b4363728eefb64, 0x35635f3c2b39dea6, 0x7c0397b5de6b77ad, 0x143b1c0bd134e41a,
0x32f3f8cfc2aa48cf, 0x6af26650ef730f75, 0xf10dddfce6747e81, 0x415d62e6a698ef4b,
0x4d2c202348a8a8a6, 0x0b9c9c3f78594116, 0x0db3ea52e0967922, 0x66289f1221fe3c2d,
0x5f2ed12125c16a53, 0xb31ce59ce7678573, 0xf4f18e32934e41b4, 0x5a5d53e319a3ce76,
0x9b8cc6650616d74d, 0x38e6432ce39488ec, 0xb19c9ef2ae396ddb, 0xb240e3a5bfa3d7b1,
0x3c2e79d6d1af706d, 0xf3ddf33a537353a5, 0x2f70b6a05b16bbfa, 0xc3277c04cd96252c,
0xac440931c14b63cc, 0x5a381e36c812809d, 0x44a8f07ce4a8e4af, 0x520a0030035dc4fb,
0xc39989af8c6aaf5c, 0x618be06597fe1d11, 0xadfb79ff2b1c9e67, 0xd1efe42505a354f4,
0x2d4693f22624687b, 0x3131b4d208b77967, 0x7dd88f28e16288a4, 0xad9a91a1ad60567d,
0x4fc0d5898af0f4a8, 0xabfbbe028dab6f38, 0x1c7ebf59ad529a72, 0xa1103fd248ef6655,
0x5232e43b1b8b48eb, 0x487c5caaba72aac7, 0x6df179800409a351, 0x9dc5b62ec041e68d,
0x8e8cb63d9a3e6802, 0x2ee477de98105c0a, 0xfc9b63e302e6a88f, 0x77be699081abbc6a,
0x311aa96418b534f0, 0x7139373ede15c937, 0xe77f3d855a40f67d, 0xffd549aec9539c04,
0xb43f7f6627b3ec9c, 0xe1893de70ffff7c1, 0x9c68f5bba7a538fc, 0x37b323311467365a,
0x446fc45b43101c8f, 0x2302cc8eb20d1fd4, 0xa4df959b36b02eeb, 0xd61c9c6005732146,
0x3a7d5c663e11a288, 0x97d687ad2b43268f, 0xd8b72b2ea8ac0f9c, 0xb3a1bec5c3d64d51,
0x2fe0437f832d326e, 0xb4f782627f8ffc0f, 0xc802630f134e8ff1, 0xa976247a20f9c3e8,
0x8172015e2e9e84a1, 0xd05f43440d213683, 0xb7ae8bfd397ed087, 0xef617cbe5bb6d51a,
0x86f1dc4a06b1258f, 0x3c16f88d60ced74d, 0x2ad2a19b2d60da1d, 0xbdbcc0afd0284409,
0x8cc31202ba4c5635, 0xe921f17ab3a71f0f, 0xe00af9c780df137b, 0x1dbde3b846422082,
0x22003ccfb7df4afa, 0x6fe17aed18a1eef5, 0x8b4d08c3a7b01bf7, 0x97441d7435875eec,
0xb1c09ec91a0dbb15, 0xd1224b3004b77c71, 0x337ae492f4dcb3b6, 0x979f3c259b268cc0,
0xe597eaeefdfb62c9, 0x5780d8b5f29fce50, 0x292c118b87872cd5, 0x49c3014d7c02ce01,
0x6d2859332e630e36, 0x1ffa8fca890df4e2, 0xf5d942b3b521be9c, 0x41fed73ac018fd14,
0x0c3874f45a860f01, 0xc1742055f2f655b9, 0xe787aa619dacfc1d, 0xbdffc41d11e879b0,
0xfec8cbfdbd023c03, 0xcef0bb9260290a3b, 0x30066ff9090e8cd4, 0x41b8763b7d2665e3,
0xe8d514e544250487, 0xef5f63c03f53e873, 0x2aa4d86daf3a82a5, 0x2a6b8ecfb6be9fb9,
0x20f2aa6503d9c3ee, 0x26bb05bd46f6a75c, 0x70f09e251c036bcb, 0x1651d9ebdd99c00e,
0x0a1efc3158005c9f, 0x2630cc5633dea383, 0x6b2e4fd9fa9900c9, 0x9a0f20e2b0d0ef6c,
0xe0a375cb130c235b, 0x026f0324789b19bc, 0xb00adffdc53e4679, 0x309d682a20e3b4cc,
0x9a708e3803f132b1, 0xea307336668667aa, 0xe585ecbf32853f75, 0x3820f32d1c51a74c,
0x7b7c03ef41076761, 0x4437d4af98bdd255, 0x51ed16da4a4337e2, 0xac9cea2dedc3d3c6,
0x2c32b0c90a84806b, 0x7a2b1a27732003d5, 0x627849d214aebc79, 0xd90ecaa8b13dd4bf,
0xa3fd31d0eb60c816, 0x80ef80ebb334320f, 0x6964641ce74227d2, 0x44708ac91167da63,
0xe5d108bbcc0be99b, 0x619d65a3a484a5c9, 0x63b9095fdbbc3e94, 0xa2dfd29403dabcb6,
0x32cdc14d5889265d, 0xd01527102d9be1de, 0x6b01b03562a3ac7d, 0x3d9bcf388d72f405,
0xb185073ad4ee70e9, 0x5303cf55725cc965, 0xd02bae7f388f29cd, 0xef6c95d804001c34,
0xd08f063051125a7e, 0xbd16db472737ab4b, 0x9b4a2c87f779a94d, 0x3bcd4e2c70023b97,
0x939d65f7a94ad0fa, 0xa3bf3a1ffcd9df8a, 0x53bc2cd7b0826a03, 0x24463ef66fc58c3b,
0x0c061c57dc62192e, 0xd56d417f8fa3cb2c, 0x4c747df3f421bbcd, 0xd3fafbb0488feba6,
0x862e61b3e28e9f16, 0x9d25259e46096eca, 0x0cb19435d177d2c3, 0x7d37ec1d69645729,
0x34a79b7571da5923, 0xe0f2857ded0db07f, 0x757b6ff5f0906697, 0xa4ee31d02c7b44d0,
0xde417bda5b474733, 0x7ad4a3959064991b, 0x7c649d87b5f11656, 0x9d31b799f11c6bc4,
0x9ea74b7436a56472, 0x9d4a9afbeb310aef, 0x79a11186ca6828fb, 0x9b9eac9af245a8ea,
0x06f3bc8df2bb1c0a, 0x9da08420a9cab483, 0x203c4fe107bd2a26, 0x99bb32564db646cd,
0x3881af645f9f6cce, 0xc59683c28446933a, 0x099b304810100d8e, 0x48f970c9ec4111d3,
0x71902bdef39d81ae, 0xe96f41d09f1da163, 0xbdca152b8a6092dc, 0x98c30847f6fe6f8d,
0xc5d858548e798a87, 0x2f330d523af3e613, 0x729a2b4a351ab44d, 0x4dc5b7810c1a167d,
0x3416bf916f8996ed, 0x70c3ddb3af0a1040, 0xda9d0e77c3ffd501, 0xb13663b5ac9be58f,
0xedbaa88f41805287, 0x5dbcdd2c26e202a8, 0x88d3c69477d3ced3, 0xf94c7a8429467651,
0xdb0f9095b0ef2f4e, 0x33c25f9ac74fce4f, 0x8789b42cd793113c, 0x0615cee2a18a66ec,
0xacd19f05ce522ddc, 0x8d193217e004bf70, 0xde304b40ed93a7b6, 0x9950230705069326,
0xa39ac2bdecf5a35b, 0x5c584231369edaf7, 0xf14caef9ead95f57, 0x7a1fe266d14ff9e5,
0x2ffa4aa05dd20078, 0xfc1640c5f8ad649f, 0xc2c842b7ca977417, 0xb8f6f8bed57d1787,
0xd7951b44dbdfa1e1, 0xe7d5ee18b668c5bd, 0xc508b80eb87843d1, 0x0ada489d87cef66e,
0xfbc5d7fdf5b65dd2, 0x4cec150191658ece, 0xa4ed2415f11ca6b6, 0xcef97a762fb315b8,
0x5e5d86fcc6530c63, 0xcd06aba91c549d8b, 0xb1291a37dd276637, 0x2399703400bafb43,
0x0682672a99c5dc78, 0x5856670349296bd1, 0x175d7f91e968ca54, 0xa501df19ce173123,
0xf30d6ed491cf98b3, 0x0634a8607a78df7f, 0x4a52aa5d0a90ce55, 0x8a7b1ea23bad88a6,
0xb9df4fe2a8b0eb33, 0x2a3b088dc66146b7, 0x782355254bb4cd81, 0x0f7ab7ba0b6bfa0d,
0x01a20ece85199c31, 0xd66a138b603bdd8c, 0x6f2c291883dd1141, 0x7308e11eb374ee45,
0x4e5c546f815a23de, 0xc27ab6f752764394, 0x823ba591cdf6e231, 0x4f43e0c2373040ec,
0x3fdc79fa1d0d34fd, 0x0939aaf3112b4ce2, 0x3ee2baa29c0aba26, 0x67dde73e9a732bd9,
0x3d45d85d529d9376, 0xfab8626835b069b2, 0x7356b6a4fda352e3, 0x0a3ec98792397666,
0x54eb17aaf4d92424, 0xc8f1bb8291fff65d, 0x057baa1bfb3c80bb, 0x0ec74efd9948e6a6,
0xe139d7e63bc3a6cd, 0x01d34c5372f3990b, 0x8998d23238cb0964, 0x1eac71a1a4cef3f3,
0xfa512da72508ff54, 0x5ad4ec1e22378f8b, 0xa88356fe6c2b667d, 0x783c683b7f9a4593,
0xc6adbe981c29c9f4, 0xa62b8e0264006eb3, 0x21a302897c333094, 0xd9e68cf252a89173,
0xd413a38eb3333de7, 0xaf2665b565a8efe7, 0xc7edcc1879a55733, 0x8efcc1a446668e9f,
0x9a505f0eab1ac263, 0xb158989a9b5cd50d, 0xe531fe0d9c6f3093, 0xf2ce8f9cbee3b7a1,
0xd0aaa22862a8592e, 0xe2bb580ba6053c7e, 0xa065b762acec45c3, 0x15a64f28a583b910,
0xa60c5ab64dc9cc33, 0xc7be61a23432778c, 0x3b93f9b996c66db1, 0x637a384392bf619f,
0xaed5d351a2470bbd, 0xd4822cfaa39fb5ec, 0xe03f6dacb4e71524, 0x7291f8774c2c0771,
0x28be310786b27725, 0x687de67c79ba1c34, 0x2e2d7a155a4ab615, 0xb4ff6ea11dc22e4c,
0xcfa326bd4e1fba66, 0xaab46c8994735d1f, 0x74c80df08305ae81, 0xe0b65f217cf29acd,
0x887bfec93ba5402f, 0xac7717726e3f643e, 0x1fb48d9513758835, 0x277d80216264480d,
0x568b4d85bb69c481, 0x8d333b15ae871fbf, 0x29a005373d6d6cbe, 0x4237fc6ab33de076,
0x9d85920a19b30958, 0x1947a72ebb36b9dd, 0xa43c432ccdaa7a02, 0xa1d857534f215d41,
0x4281a176456ba54d, 0x28771e2f0619e83a, 0xa1b3ccacae92c6ae, 0x991750a9ac1db45f,
0xc18e1b1aa427ff52, 0x1a971ee527f13956, 0x897af3bdc37d52d7, 0x1daef12cd556ab4d,
0x4649ceda24efde75, 0x979285dbf715b358, 0x9731c1fc6d83a666, 0x056f3b07f3d3e02f,
0x5d5e0273972a3f01, 0x0d44493db5ab35e7, 0x5b652d9fdc5c8d53, 0x9132c09ebfa009c7,
0xe8cd596505e4c886, 0x5bfdfb654539873e, 0x710eb30619195b01, 0x5c1c8c1d318208ee,
0x46be5759fa2611cb, 0x8a2ff5105f01334e, 0xab52c31aac3714e7, 0x63e8640b013d0b57,
0xc4286c611347a206, 0xba757ce138460497, 0x16c7f4e4106a1bbf, 0xc7944db997763be8,
0x0f82326a0e08580c, 0x4bb0daa0a7928719, 0x5372c25318ac2da3, 0x3c499e8db4091448,
0x964ba0e347cdf444, 0x9f9861f80307b682, 0x7e3d70eb721f9f28, 0xc09af98c860ac6cd,
0x59ee754953f413a9, 0x8f873d6d20f3ee0f, 0x748256c0b8ef7e2f, 0x5cd3c8a23d365f2d,
0x64168676872d4589, 0xc3f0b1504ac8f909, 0x1fab77143ef9297d, 0x27ce95e651e80c40,
0x6bf0a4a149beee8e, 0xe5f4318173181810, 0xf9e1109af278b5d6, 0x20350cc1c70e3f40,
0x62814c97d7b67216, 0xe98a02d9b5573677, 0x775053e204087f2e, 0x26c1ab69939b6abd,
0x502904a8938fc3ae, 0x3418acfcab8d005a, 0x68edff9ba48c045c, 0xfab82881219a0a72,
0xd9d743bdafc699a8, 0xda25e6e5ebb0a0a9, 0x3efa707ba9fb191d, 0x6dcf9201194a26c7,
0x2500d29cb2567e28, 0xbe93dc5dce629d19, 0xa5d8fc73ff70e757, 0x6da16566c731fbb6,
0x03054492fa748acb, 0xa3f691b5e6ebb6ab, 0xe70e9e259ab09c3e, 0x1c9af3d7a721f52e,
0xc5ee7aaa7a72b6d7, 0x9a76746e0eaab44b, 0x61754d335583a8d5, 0x1b6602136624b5e2,
0x0d5ff67d2fca3d30, 0x44d121ee1d0f59dd, 0x6f520d90d0a2b85e, 0x90a6f6ba497adc51,
0xb5fb5999391b3633, 0x9782a37e84cda07e, 0x94332745fa6758e1, 0x6785cdf3f86f2435,
0x585873707c2adfc3, 0x296aa37e739afdd6, 0x7a252c526b67611e, 0xcd1d3495be0d19ec,
0x22e02c0dd9f7b691, 0x68f1f0a5c2d3ee29, 0xf8c429b337ceb8be, 0x4183459867716757,
0xe05ab2f5df16e74e, 0x7baaddfa1548d180, 0xfb783d7474d89a33, 0x2cfa83c5a876f786,
0xb6873b3e0adb43f3, 0x80f2e14096f518a0, 0x1e62c8ada3ed7c29, 0x9afa34ac874b131f,
0x2a5379cf2de87ef5, 0xd9d7ce33e21f6e62, 0x9677b81462106d7a, 0xbc95b85c79d4a7d0,
0x0f14cc12685d6ce1, 0xc917d85c1074389b, 0x66c1290a1ce76d03, 0xa4befc1343b5db1f,
0xfa9ceffab2c18101, 0xdbcc1250b6c50ac2, 0x224e9bd15162e30d, 0x5dea04407e7d8316,
0x82d7881d81c4c5b9, 0x16cdbe057b87fdf8, 0x0cf6f0b979e33697, 0xa3c2fc254738ebe7,
0x12bcd78e112f7abc, 0x352ac1ff2c7a7123, 0x4f428cd0af990470, 0xe793219287307feb,
0x77acadc62d5625d0, 0x5679cd42e147b893, 0xdf64902d5c436273, 0xe6e2df1fb3f0b493,
0xc23ec5a0a58c8a50, 0x71a7737077d1f4ad, 0xa3984db89049a293, 0x6cfc4569a97b33d1,
0x0f7773cbec0078c0, 0x223a7415eb8c1b89, 0x86d916b56ea44ef6, 0x34177c8a67558ca1,
0xe8d52d3e5b4800ec, 0xd25202d17c0c45f3, 0xd66b923b0041372d, 0x31c23e908ba0fb86,
0xf25b3029c6d0c0c8, 0xdcd5dd8e6fb8270f, 0x745fe13f3e1842b8, 0xbde17e0db3bafe0c,
0xdfa217c57eb8444e, 0x71acee25fec0bd8b, 0x2fa5d687fdbe62dc, 0xf7d485376ef9981a,
0x3f890b66aeeb2227, 0xaee43f31a783c84f, 0xe27cadee8fd181f3, 0xb0b6ce9a4bfcde8f,
0xc99b2afdb62b106b, 0x081286cbb9226043, 0xcd8fa3fce78027bd, 0xa502b7ed60ea56aa,
0xafb10aa5949ccdd8, 0xe5345259edfb1ccc, 0x0cbf812d9a49e31b, 0xe1c8740757a23930,
0x67eee9e82b5605e9, 0x858f5b24945a88bd, 0x22915e49fe42c35a, 0x776ed5d365290cbd,
0xe2f5b20a25c5b7b8, 0xed5cbcc0e4f7c8b7, 0xf46acf4dace016f9, 0x4dedbbe548f230dd,
0x71026831c9ca9f95, 0x3a4043da86b54849, 0x64970176b1397c16, 0xbef5a640ec11823a,
0x84554c053ffb7d8b, 0xdfe4fc206a0146d8, 0xa2ac8e5ea0d196c0, 0x999c853beb7db32f,
0x5bc34c93ba98ddb9, 0x633888fa2686d4be, 0x99a275407547d6bd, 0xc211e8ce31ff5777,
0x1f3110d37470afd2, 0xb1d45087e444f060, 0x4480ee2ddef2efb2, 0xe51c319cba5e1993,
0x9d114110951c462d, 0x63936cd37c3c3b50, 0xc3ecc17873090db4, 0xf024f6771a17d9fc,
0x105b19bebdd07017, 0x4fb78ec3c1e9222d, 0x11431281659ffe9f, 0x5e3bcb1615f4f364,
0xc8f42915bb6b8d8d, 0xf5a411fd12c1e14c, 0xc47d9b6815aeceaf, 0xb19f4aa7d1d4d66f,
0xeebd588fa66843b0, 0xf7c733fc8ec9b0c0, 0x1934a8661c55f1a9, 0x3276587f1448ea7c,
0x228177458445cf0e, 0xa32c25de9a4ea2f1, 0x3bfe9c90c3115084, 0x3d78811bb5be1e15,
0x2073a64f87bb4565, 0xc0a18a91126bf02a, 0x1db1d41b531cea01, 0xe2d389d643e173e3,
0x9821cb570db7c548, 0xe3b0325dc849a73a, 0x1c2cd6e05e22bfc2, 0xa94a97ae1c0668e4,
0x4c86f87d1e1568a6, 0xe25a2b104439d8c3, 0x394905bccc5d7940, 0x30b38f18c0cb980a,
0xff7470608859a262, 0xff435b62eb2f0138, 0x57ff9b8b524e20a1, 0x2bcf4dceccebe38b,
0xcc048ce8441d87f4, 0x3bd9751020a2e8be, 0xbf8f55662bae10db, 0x3d36646d0bd072fb,
0xfda298673ac05f6b, 0xfa37e9f5351a0d0b, 0x3a6a0e3a9ee687ea, 0x877f92c95aa3079b,
0xc81dd4ed48f9a625, 0x741eed7861aef93b, 0x2dcdb8a805578a59, 0x458d27f03b58adc1,
0xd635a7ca054a251e, 0xbdc1674249144311, 0x2fe3f014f0f6f6e8, 0x05bc37174ad163fc,
0x95db2dd0081b7445, 0x35fcd01628839f9b, 0x4f2a2d1b581bc1fb, 0xc2251baf1a9e5f58,
0x3e04d8d25b5266cb, 0x41138154d072046e, 0x7fe056b5c1bc9513, 0x7ec5a07020b22bce,
0x599c13ed2a7198da, 0x038e68ce14fc8bf8, 0xd50d729fd0e00631, 0xd122bab3bcdfbd18,
0x5af5c2d77db32720, 0xe5d7f81391dc86fb, 0x0d60adc5f879032f, 0xa594d6aecbaf9736,
0x1bf486ac72542727, 0x9457e2c474c0695a, 0xb6427a0201c5c638, 0x8fb3c636bfa5b923,
0x273b12889b0f39e5, 0x7d7bfcdeafa25cf5, 0x4b36ec8a73006ecb, 0x6132cf6c703d7580,
0x19c5777695518a22, 0xffee3e21e6b4a0ad, 0x6a7870c1b0f0b8cc, 0x1e6ba492e63d0670,
0xf46ef85d587fe708, 0x15fe18b56e4c6fa8, 0x2ed5bfba95894de9, 0x6af9cb3574c6bab0,
0x43bd7c15fe15b065, 0xec2223819a1cfc13, 0x79c2f96447c8bbdd, 0x7931a49be0dd0bcc,
0xa3a0c7ca0e5ccc0c, 0xab2b105ad13a8391, 0x565244297abe4c4e, 0xcbd09ff9b3cd3d2f,
0xa750f1c48256041d, 0xffd6f2633bdc1448, 0xa10efbda94fa8afa, 0xa8aad983e48ae447,
0x0d82b6442d0e1548, 0x2ece640b636c167a, 0x733d867aa721cbdc, 0xe003cf5e3a8798e0,
0xd30896d8fc429f87, 0x39309fbf77bfb1c4, 0x26751cf478e45667, 0x66dc87a964e236f2,
0xcbebca317c508f8d, 0x18e901268fe63a44, 0x99b51bbcff6315b6, 0x5c2517277008524e,
0xa95a2dee52129a65, 0x69219caa898b34b1, 0x5a6dc81cd41157f2, 0xbf939234128ee31f,
0xd06cf207b05ab7f3, 0xf4f60d74579613c8, 0x203182a119a9e526, 0x280c29473ec2da51,
0xe869aedda9b6a5ea, 0x25ecd3ff423da68a, 0x6eb3718e8ab5bb82, 0x363bca98469f0068,
0x9243fb703f70aa1c, 0xee7f87bf0c757a1a, 0x1ae471a5a5cb4379, 0x3efa6b1039bea9f6,
0x6168ec831ad60b0e, 0xbe85d9203cf84b20, 0x4d6ea3677b78f4fb, 0x3906dce6b289b401,
0x53842b626e854a5b, 0x69d93f4c6ad0e5dd, 0x071265768d63cecf, 0xa8390d8f06e355a1,
0x2910bf70117fb7bc, 0xe76adf6121406162, 0x77c4b695bc1b3065, 0x8fc4e9bfb1f51822,
0x3d141c6eaa68dbe6, 0x115213ec59ea2196, 0xf2fa9e26a52c9ca8, 0xf600d0a51df92483,
0x0d395a559281c13a, 0xb45d9fd230857d1b, 0x14405a8b22d97873, 0x7cb5eac97bfbdf1a,
0xad5da91dc4e32dc5, 0x6e214e456bee2bf7, 0xbe0b243dcc577c11, 0x059d031812907dd4,
0x5d599b864e91c843, 0x99393c1d4eadfc4f, 0x293852f2a107ccc6, 0xbebd6bf03e8e99e8,
0x222a5b46c6381218, 0xbfb9fb27d91b0178, 0xf810f449d77a6c97, 0x6594a2951257571c,
0x5f86c179e62516b4, 0x8e48a62f34ca380b, 0x149077d9e47c6b07, 0xf9ef284bf1c657e2,
0x3ccf8e1352839ce5, 0x9f0d5a1df00701b1, 0x6f26e54fe5824faf, 0x792da0de9275f232,
0x3d32b968b445c3a3, 0xa927e99372923261, 0x0daad8741d4d6c0e, 0x5f8d00e5901ae972,
0x492a438492fb034e, 0xc43c3fc1c583dd06, 0x56ade41c5fcdd732, 0x14cb33efba06863e,
0x86c7ee1ad9db42f8, 0xeabbb93f5d15060a, 0xc5d1d11d33bec8bc, 0x671e6aa0a3a17b93,
0x0db30e06053d6445, 0x091246a470107037, 0x66b310406988516a, 0x581f5b9a9418315a,
0xcbb24ea3808f1863, 0xafe75a4a83b6d617, 0xc3c132b2b0b4ed25, 0x731247d53e5f57ce,
0x228ee29f5bc51be7, 0x66e77aee4a2410a7, 0x9254c1b4f9a3f522, 0x6d417b09c5eed63c,
0x3cf9277e25ab8ff4, 0x66a75ed5cc5fedc9, 0x292d395977873bea, 0xc74073eacdbfc346,
0x3acef694411969e0, 0x2f55288792760230, 0x088e0f6459578f05, 0xe97720072ccd9a62,
0x54d0b5264b9287d6, 0x993b4d9d5aafc437, 0xe0006e04113b3ee7, 0xcf50ccac329a48f6,
0xac17389d6784a05a, 0xfe5a896d9696aa85, 0x2dca2a0a5089a151, 0xe28d29badbe727ae,
0x556a462bb6d28d31, 0xd6fabed32e06edbf, 0x6e224f74f9eea43e, 0x52fa24c251f07fda,
0x8c20bc0fbfc9b805, 0x6be9ac5728f4f9fd, 0x996a6bcd227701fc, 0xb10eb6eff56e04e5,
0x482db2853cf6ffcc, 0x02dd5e5c1d5d7186, 0x4efd89f842627b97, 0xd2c8e4a1c8482724,
0x8656bad25748fc43, 0x6e4cf755efb7633a, 0x801afad3b760bfb9, 0x068352987e9c10a5,
0xad51fcc88e9db195, 0xcb4eb33e1f780e03, 0x3a64518af6488a6a, 0xe5a705b274325fd4,
0xa9b12f8d2f2c7280, 0x5283d148a71a8dc6, 0xc747b8bf3154c53e, 0xeca849400d4c1bdf,
0x328601757d57687b, 0xac4abdfc00693aff, 0x0209408a2c500dc8, 0xfa41265c53d8173e,
0x9fb75e4a22e38677, 0xd3a559b66e7d61ec, 0xf8dc074c7e0e08b7, 0x200350b52f2bd6ef,
0xfaa9877213a52229, 0xce77a2d78791fca8, 0xc78e9f6daa775bfc, 0xa08ce0a4eb935900,
0x38d5d9b58698c909, 0xad7710b070bfd52c, 0x5c2dae5ab048acba, 0x91391b7704630003,
0x9536712574789929, 0x1bef759fa113c332, 0xac7c2445df4d7f2a, 0xffa878d2fcfc9a5e,
0xc8d7a709c11ab5f4, 0x8df7ef2a6db2b6fc, 0xea7e95becbe17eb6, 0x55f72f7799e23115,
0x55d151e34a68c790, 0x2551ddc3f4444254, 0x7338172f7bdf3c65, 0x95c4a77798bcf593,
0x5cf97bfbc3d6f2c7, 0x1f0cd1cd12915de3, 0xd516638f8cc27db2, 0x09d5b7be24b9ccc4,
0xc5d8b280d979e177, 0x70dd07ecb190f616, 0xe76ba3c522ef4482, 0x357aa4fd6916cacb,
0x53050fa6a32ee871, 0xf172ce8332dd0204, 0xd733a292e775fc21, 0x4b51c958dab75658,
0x8996c7ae5e7352e8, 0x2db81c567e16f3e0, 0x8d7c5a26cac22c9a, 0xb98cb515ae16d486,
0x4d34f494ab8ea6ad, 0x937c83862a023362, 0x7414fcf8574d7254, 0x4dd2182c280f90c5,
0xc387952524a804ef, 0x76104ef75ab620d0, 0x988319647e7f084c, 0xe51fff124fa86f99,
0x6ad763d4e42e75c5, 0x6e23f19379eb6040, 0x60b75a472d3e11d7, 0x18596587b023b235,
0x1fc4d53128da27f2, 0x4b11b1f76fe97a2d, 0x6f257c9dbf970c2f, 0xaea2f5dcfbf2367b,
0x1f3053998380d862, 0xd63aac0f03f2a1e9, 0x59a7d72da32cf025, 0x554c55ccc1a24c84,
0x4e727eaa44ba7d9f, 0xcd758345521536a5, 0x69d1aced2477b337, 0x146938c83d6c2396,
0xe8bfcefb5d732d25, 0x34fffecaf92eb30b, 0x8220f7d787d1b84a, 0xab38b08d772a57c0,
0x40a859994765c098, 0x8f3f26ba662f79f4, 0x0037dcc078b2c32d, 0xd0b5a5e8f03668b4,
0xcd6aa35798e5cce3, 0xdaa33745466b1636, 0x01a9aae54257039e, 0xbb72e38b8aab0f9e,
0x3cdf21b0e37e66dc, 0xb965b6ce6f84cf7e, 0x28ae8f59d520c25b, 0xaab81d89bdb16d6c,
0x6e96d6a1b5a96284, 0xee9ca4e9ed1fa05c, 0x8d4e4c2b631278e4, 0x203325fdb69b4e87,
0x4c53296525ab130d, 0x9b4a1d24d55fd789, 0x755ce32b7c9aed6e, 0xc1a72061245c0f48,
0xb7948605da7adbb9, 0x648963256efe7a0d, 0xa574c49e8da06f6a, 0x25b5c626c4d5da5e,
0x606b165e226c65f3, 0x626112748099675b, 0x22a5d4315eb038a2, 0xb8ed494ab96dc793,
0xc4799090539c7f43, 0xd93f13390b787819, 0xc547c1d7977662b6, 0xd603ff58f9b8db55,
0x1cfacba4b2f3c831, 0xbd2669f54da6c106, 0xcb3cb9411efc75ea, 0x1e7f2ec7eebc7e1f,
0x67b02deebbf183f0, 0x86579965f743b3c6, 0x8e2259a28d5228b5, 0xccbc6a98ab906574,
0x9521b7eec6184d70, 0x4113c66bc8ab0ccf, 0x8d66ab3d13bbe880, 0xc3b7c0c8f36446fd,
0x448a0444cb2585a4, 0x1e2b3c2e4c75d06d, 0x2a15f2c73c09e402, 0x8b0b1945162be9b5,
0x5ff11045e3355859, 0x19114e5948c21560, 0xeada146fbadb091a, 0x6ce3c6e16c5fe265,
0xf3827c766e951bc5, 0x1d1091738d6a55e0, 0x97f1ea6a17bec836, 0x4cd9420c9229c3ea,
0xb22170e67978b0ca, 0x5be0c0088b8ca810, 0x0f15c9e4b6685984, 0x74cb033982ae2667,
0x5c6c5a2d85065882, 0x7b109bb09655debf, 0x56bacc5bc5db2767, 0xef8babab6935664c,
0x1eb15c0bee6c8b37, 0x258b0c1bf2b5bbb4, 0xd95ccad6fa92715d, 0x9577ee75b742cee6,
0x81e2e6c555e2fbf5, 0x951928cf0d18f816, 0x6686c6e16aadf2f6, 0x7270cd96ddc8d3b9,
0x47a17f2a6a722bb8, 0x668c0f727f83413c, 0x028cb35e0f176eb0, 0x7fbcfbb4b4d5e41e,
0xb5d7a1255a097cc2, 0x37d956f36b107390, 0x87217dd542a6dc8d, 0x2d41a33b7127cfa7,
0x55b72ce72ffa38da, 0x337dcaac4e15c6dd, 0x49bc3d7cba07b97e, 0x88005d9da7656738,
0x947342869d8d029b, 0x91cbc8367e34f809, 0x55b8db39221e2249, 0x2bb38401062a3235,
0xb902b2f07aa34f7e, 0xd8b72b22d939af67, 0x2a45efb3ce1f4904, 0x0e96f91aa6a83508,
0xc17d7fbb5d3f7e75, 0x24c926a9673b6433, 0x7f79fce7c4bfbd36, 0x61c40b11b705af07,
0x6c938680b55032ad, 0x2592aa14ecce2357, 0x8d1328c0ad3d6c40, 0xbde590cec54c5bed,
0xa53436b02b65a3b3, 0x984341eba2b81eb9, 0x76330da141c01f06, 0xf5da3bf1e7a5d161,
0xbec5455b891f80ad, 0x7f1db5bb91c87745, 0x88cd3e7ab50f7d0e, 0x052b1991b79493ad,
0xb9af59f2da249721, 0x97dd819304dd04c9, 0x51731eae5f755b36, 0xcad7db0033ea4a8e,
0xd43d57f2ff724f21, 0x2ef70267d48f4c99, 0x80061ea7d7e473ca, 0xbc828327fc5c8f43,
0xc6dc39660ef1610b, 0x2f06ed5f218ce49d, 0x855ca0d286723c56, 0x1fc15a495254af05,
0x408d0964e363a528, 0xc9dfcdd5e57692e4, 0xf39897882de50c1c, 0xb9d27aca194ba134,
0x5e7c667e7890cd9a, 0xf3efa39b825dc8d9, 0x3982e744260a5bfa, 0xea9a954644a2c3a2,
0x79c9828626cbb23b, 0x89afbe946ec766f5, 0xf3c829aaeaba4732, 0x7bc93a3f35dcd86e,
0x3a6b34a97cebc1aa, 0xba1f3c317bd99cbb, 0xcd6afba53d872970, 0x994f1023afb18744,
0x24aa8402756b8ef4, 0x15537dd5dfd090e1, 0xd715a49071f00b2f, 0xdb83972a7c93542f,
0xe36a9ef7516f82d4, 0x6296323fad0ec190, 0xcc41210f982f19be, 0x878e1df888833969,
0xb8740bdc558f456b, 0x378da7088ce5e194, 0xaba48f7959e0d795, 0x14e27c831d3c00f6,
0x9a723a12eb96e7a7, 0xf162f30e5a4eafc0, 0x0420a802f463f507, 0x395b4998de937a15,
0x915ab99eaa1d64ba, 0x8e51d6cdc5f08500, 0x66fac167407acd4a, 0xd446f72d250cf47c,
0xf8e996c937040556, 0x965ab458322fdcb2, 0x4a21d0a2b9411d1d, 0x20dc3a017e6b3e61,
0x143a57f20804d010, 0x0d18f09a537888a1, 0x085914296f7ceef0, 0x2bd03eec6509d5f1,
0xf7e46db26c867fad, 0xba1bb8847942a78f, 0x8ecd8e94d93474c8, 0x4fc2a6483f3c69a4,
0xfacf50ae1b9cbe8d, 0x50e7adb3c10ce9c9, 0x301342529c99245f, 0xd7fccd9353dddfab,
0xbf8ec2995d1782ba, 0xf50851db7123d0cc, 0x01cedc0aef339df5, 0xf449ecb0bbd52e30,
0x2b64ad7c106c1dc5, 0x5b8f9311b3c37f99, 0x5dfc3b21d5cc618d, 0xf8bba7582be99cec,
0xfea5b1d70088a207, 0xbf4387daffdda71f, 0xbe642814a59c852d, 0xa800adcc819b4f63,
0x50c85746c7972d31, 0xcf62ea5252aa76f6, 0x893752345030149e, 0x4004881dcde9db6b,
0x17bd165759cd9722, 0x72f5b515d47d4854, 0xfc42f097c47cad49, 0x7c10782c3481ef1d,
0xfb8a78bbd857ed49, 0x6f376d8eec792bf8, 0xb4c1ac43e5b7c22d, 0x74d79b2e4a21f15c,
0xb3c3e8d0a3f371fc, 0x19c70d69cddb3cb7, 0x6180731a9612db16, 0x2df588dab10fc8ca,
0xae6532cd45781c2e, 0xd7d9a97e37075155, 0x43537b879c9882e2, 0x3f553455fcae8e4e,
0x6451b39af00fd9ad, 0x7c6459da8da3152b, 0x85bc5561ed572d02, 0x3d643ebfe8e98079,
0x66a7ff664ae39ef7, 0x7827c861a062334a, 0xbf6ac96466c0e1e8, 0x9333ca5f77cfbaf9,
0xa6a8a0f7ddbfc9d6, 0x15651954bb81f270, 0x47147d111e836534, 0x8beacc5102a8636a,
0xa4e8cb060f2ae617, 0x4237cf2711441880, 0xe0022904e9057f4b, 0x63ddb809a138b8ff,
0xa2da3cfb4619c2c2, 0xd81dd11b63a7aa8e, 0xe5540f596069dfdd, 0xe8c65ed2bd24ea43,
0x4ca8233f2368ac44, 0x52df9e9f4beed4d8, 0x1b608e948d7c75fc, 0xc99967ae4af26f8a,
0x20f0a795b48eeb13, 0x74b4f7593b3e3a1b, 0xeb5315ab19b99e9a, 0xdad283cea201f472,
0xad9102d4dd92d388, 0x50837cea9b218186, 0xc92dd8107da087e2, 0xf2afb2cfbcd2f884,
0xb0eb202c890e2ea7, 0x68a8cfc2567c0c4a, 0xed78716c901616a1, 0x749353579283fc04,
0x01eeae3c5730eb52, 0x16946d4d52ddc894, 0x32bca2dd63be576a, 0xfad6c15e6733d3a3,
0x21386bd7228ee954, 0x0a577a44c8bc48c6, 0xb0aea714f6825855, 0x3dfd69500ebf69b9,
0x93a4d7ddff220417, 0x6c394468d5c8df40, 0xb8c18e05d3a98655, 0x2886d5b932afdcb0,
0x6dbbb721582bf13d, 0x99f3666a10acc9ee, 0xd02f80f5954d97d3, 0x00bef487eaa9aa1b,
0x0b9d42dea35c8e77, 0x7e29d2d65fd7a78b, 0xddbfeaa5b7d3b144, 0x8da38cf3ed0164e3,
0x530f5569d641f597, 0x8ff59ac675ac19fb, 0x9468047a51b3c4e5, 0x05ec9ae8bd1c0971,
0xa8a4ebbb7c57eb9b, 0x922ab899c9e92da3, 0x3bc812008c6e7f09, 0xaefce01fa66062ef,
0xc6da99e1b7f68c7e, 0xea8f0657b7158777, 0xe3b9ff40f58fc677, 0x6f7eb115bb419fb0,
0x8acbe7780818721c, 0x9589e01afbcd168d, 0xaeb54fc322878191, 0xfc22adf19237d5c3,
0x5de940bc2dfb41ea, 0x37308ec12997a976, 0x26dc7ab698781c97, 0xff1e1e39167c4c79,
0xaa13fe6ceb679607, 0x33ffdd57fff3d635, 0xc5c065b004e3e81b, 0x90076e37cfbb3b27,
0x7bb5d81f2aeb1ece, 0xf8c80e617de6d08c, 0x4df7e54424ab5191, 0xa1c818c14756c25c,
0xe16943c1ead721cf, 0xb1e15bcda65aa4e7, 0x5223d58f8d9286c2, 0xc8824a19895b029c,
0x924aa58f1122dcd8, 0xdc66f927110fa933, 0x2da5fbba7ea356fe, 0x5b5d6d52aec9e5d9,
0xbafd2dac6df100df, 0x9ffa8e11519ac74a, 0x7a8fcd20fd86090e, 0x014e3c549a8bd7da,
0xf936d1140a10ed26, 0xd25cbe0ade57fb93, 0xd01c7f8e9d52047c, 0xdb72e278bc88c9eb,
0x6de3b137d58228a3, 0x8932f53a1a18063c, 0x174a67defe216e60, 0xbd29536ee3cc9b16,
0xae5ab163f66151d5, 0xe6e44d1aad038562, 0x2037e479e9acb15b, 0xcdf3c5ef6a714e19,
0xa73e5d5f650ad914, 0xe0f6af922aa502f4, 0x0a6dfbd7222bee59, 0x5505ea6fdb4105f8,
0x476c5c4875358769, 0x35ad6f007244ab4b, 0xf0b58cbaa43984a3, 0x4b43f4118ae22902,
0x889f1f2554440066, 0x5f40b4173e0db3c3, 0x99b239b7253ab36f, 0x5ee1c0b2bfe1168a,
0x04e4ccb360e270ef, 0x6e154346cd1e1d95, 0x71189b05bfcf95cc, 0xb82cb59ec38400ff,
0xe80de52b0da51cbb, 0x2fb8274a266307d7, 0x221c4c5f77531d89, 0xbdb1bd58a5a5ffc0,
0xfd1d2fdb9d695dc2, 0x378764a220131abd, 0x8180ed4fddd87ad7, 0xfd225366cc3f6418,
0xbbe49008706e0fc6, 0x8f33da0ff8eaf6fc, 0xce22d2bc75082c2b, 0x86531526c62eb6f5,
0xcbcc76bf847eb1a2, 0xeee60924fdbce5d5, 0x65fc3e82a509e88b, 0xf4979eab3658bf42,
0x2af994c859b7fd99, 0xdbb892dbf9373baa, 0x57979a42491cf1a3, 0xb48aa89de6651963,
0xf11c0f9fa424238e, 0x97f8e205ef06c082, 0xf2a118fa1367e5b6, 0x1ef41dec2f857eaa,
0xe1eed5042b8f337f, 0xaea45849643da220, 0x35746d201a2764f4, 0x5cc21b8b28008b76,
0xe1ebfb9bd0cc9ede, 0x10f165081eedae57, 0xb0a71a8c90256317, 0x4666c1cd4ac2898e,
0x68bf3a48ffecb3d4, 0x3317507434db3003, 0x61ba7ebdf94b518d, 0x41a518093ed93fcc,
0x1f0539464db2b670, 0xa3312a11e34177ea, 0x4153b75f5e2bd449, 0x0c93aafc1497a9c9,
0xfe64520bef8b6c1a, 0x2ef3b69dc1b950eb, 0xc50bcff31323c55d, 0x137b9df0a41bb83c,
0xf8e4e98d30582e1e, 0xb5ae72f9f43be8ca, 0xbdf3f8e1a74335ef, 0xc87d092b772b41c0,
0x4cb852a1e3f5b5c6, 0xc7d7b951e854d86a, 0xb0411ebe46765c16, 0x568eda2c24758408,
0x9f8908e6198d5652, 0xd468571e05276c24, 0xbac62185cb3b365d, 0xc7fca94dfa7403d7,
0x7ac4208ffe930e32, 0xea6097ad7725dc7e, 0xa237def29953e68f, 0x2a0f537b4b4af124,
0x1f83cf7028ea592b, 0xbd9a9e944cfbd5be, 0x4ba1867f6cba1f75, 0xfb78ad72b0219be3,
0xd15e52aae258e86b, 0x1045e5d48cca55c5, 0xe13a7dbad01a7cbf, 0x82f199510e27c08a,
0x5edb7aa78eed597e, 0xf01a1d727e07a609, 0xbf012b768ce03f91, 0x96f65507238cfad5,
0x8af234918d123905, 0x57917e837e8cd0f7, 0x6288c4124f07bfaa, 0x5c2b52d1ac020b07,
0xede50a7eb7ad4e0d, 0x7306494f6df89616, 0x1ffac5c14a635424, 0x40d92e3c4f9e7253,
0x965447ba3f573fc6, 0x99ac297b70f9d72b, 0xf0e20f2b03170156, 0x0c801f40cc1df451,
0xbd5bafdc652de461, 0xb099ae2dbaf93d9a, 0xab24028e1b8172b0, 0xd7ef34c5340db7b7,
0xfd5ed5a0549f7d09, 0x05cfb5d7621950f5, 0xbd9d9de82b5656d2, 0x952e13c8559173eb,
0xae66eb2052370a9d, 0xe871c6fcc9a75f32, 0x23fa6877d29b6221, 0xae2cef849717be34,
0xbe9dad289da5e2d0, 0x8d3f46860877fac0, 0x136e6d4ace20c93f, 0x5b0d9e220f209e99,
0x0c0eb9608d75e9b6, 0x30fa13e5b070252e, 0x87d13223efccc859, 0xd71a27c23cc63c85,
0x4b5b83c6871f5cfa, 0x74f73383a108dd5a, 0x1ca54d5d2f768044, 0x1f8fbacc27067794,
0xd642d2f8356c7a49, 0x9e6689b2ef3802f1, 0x85e616cbe8c19dea, 0x8b489aa9dc687936,
0xdc0715eafd33ab71, 0x53d2ca40ea4a728f, 0x9ee351b1217ae867, 0x00eaa589c55c056f,
0x4397eba9f5e52757, 0x3547cbfb489e393b, 0x9b824502e15c3449, 0x0d5639d3e43cbcb9,
0x9ea36df677ecf972, 0xed10fc839cac702e, 0x134228dd9bdab488, 0xc0e4458c71785f32,
0xe10d06f73d07ff19, 0xfabf3352891381e0, 0x84d3fd91e1331f1f, 0x4e3b838d0bc45076,
0x812b0f10637c7483, 0xea53484dc3b88ebf, 0xea69d601cb027ccb, 0xb49a40c94f1de4d2,
0x2e9e687201084bb2, 0x3a5dd49aefd6427e, 0xe6404dd01c3aeeaa, 0x0d62e010d2788934,
0xf9670006c5e67689, 0xcdf6ca7209300d95, 0x494196c2f168b56c, 0xec9145c61b32a618,
0xdd75c5986799aeff, 0xad348129b9ffba03, 0x6d9f0a815c90a142, 0x9077173b158b6145,
0x7c208588f257f28b, 0xd97337ac54508243, 0x4d757e4b9a316189, 0x20578fa448c1f64a,
0x603c38468d73d4bb, 0x6e3d2c01600e8143, 0xf22ad145b1a6366c, 0xaaccbccc2d34fd7b,
0x84a6b01db9a3bf93, 0x23e8cd1d659f2137, 0x5f684d4e486810bd, 0x0991db2ea3c08827,
0x02fac0c908599741, 0xae9043198fbf88a8, 0x4b38052c0ee8eb27, 0x5ee085336ca7b73c,
0x934c785c648c9306, 0x0d8ffe812c23de8a, 0x8e7ae5bf93b0a735, 0xdeaa1dd1945ab6f4,
0x2357f2ff8be97053, 0x7fe6c7392febe11d, 0x089d5fa95b2519f3, 0x8c6ee97646323f24,
0xad6b7ed099b311db, 0x38431c703502c400, 0x6e11cbc2f4e4270d, 0x8263bfb1dafeb41a,
0xad7097c0cbcb7b42, 0xd6fcbea1016b0d14, 0x2be2f83ddd35cb17, 0xa85a65cfa7e8f192,
0xa6bc82bf4a403279, 0x34952e64df73c0bc, 0xec0493fef156ef40, 0x8332cc58646fe8fd,
0xad9ed5b9436010d6, 0x8af139efb2484d89, 0x24fdf989b7e2a8f7, 0xaefcb67beb38aab4,
0x71e1ad9080d3dc45, 0x6e33032124026a46, 0xd6cc72ca6003d27e, 0x8c32cdaacb2e6281,
0x4b2e1e5ae4305092, 0x4dbac277fa4bc906, 0x3d0b60b3d5f23f6b, 0x3e9b4ea5bd200fe9,
0x9c7b5c3cd2aa2828, 0x0ef020eb51bfa9fa, 0xc6700679a120f2a4, 0x7b8df6e053728241,
0x7ade720fcf2ddba1, 0xb12102b57d2aa2d2, 0x2e6d676006d4b171, 0xef1fe437ca6b8caa,
0x6666700703ff9641, 0x8fe91eb2585c9c9d, 0x46933ca24b693444, 0x69519edeedea3b3e,
0x159b1789ff0cffb7, 0xa1232c8260a26fc4, 0x44b5f96671c1dcdf, 0x5cdb823b21875cce,
0xb208c8cd7f6cbb39, 0x0ae5c6a881afce06, 0x3a341dfd3f7b669e, 0x40f9281816036d8d,
0xe4b70ddf94a68a37, 0xf5fd85195b1b2f97, 0x024a921bd04eed31, 0x6bf328ee0efadd1b,
0xb9e19213a20c1fae, 0x7e1879d7b06d2086, 0x38f7ac6ac026e465, 0x59b72a5f13c192f8,
0x833b4daa85eec5d1, 0x3648b527328425da, 0x33cd4c074d3e95f5, 0x21b4f87fb462d872,
0x5a962facadccf050, 0xc60fa211e753dcda, 0xe9e673c033892942, 0x7303aa9b19e6608a,
0xc73d98e2230bd6cf, 0x68231928d2abade9, 0x1427a7dbcc2ee787, 0x9e9e41797e8c613c,
0x9715d1d10cfa7cd2, 0x7960165a64a60a61, 0xcdf740436a708000, 0x70e3f0e9994e744a,
0x5816aeb7c3ecdaed, 0x9d8915ff37fc4a96, 0x4cb51143803b0a93, 0x7a0adcc16f9b1beb,
0x422062b638359f16, 0x344bc6c4e290073c, 0xeda0cc0c24fdbb34, 0x3a9c81462b59ceb2,
0xbd82308bf76a1cd9, 0x74c452c2f029d410, 0xbb9dc5f4e7ada533, 0x63dff9d3e5693396,
0x58c88044a48038b2, 0x9900478c78615eba, 0xfde9b14287390053, 0x82d22f6b5d9c9bf0,
0x0f41023071a2e1ba, 0xf3bf6dc000b70e71, 0x74547dbfc56609b0, 0x4410714add5110eb,
0xfae57be8fbc5d666, 0x21b066345b096623, 0xa0188239d8a0f016, 0x7568d7e32b286fc1,
0x3612f13ce609212f, 0x9137d545ca6e2fc5, 0x8fa6748e2d703dc6, 0x1dcc4f600f50b63d,
0x434b32baca4b9484, 0xbed9c6df88b107a7, 0xa238542a67605cd9, 0x42d499c67535490d,
0xbed7c65ab167feb9, 0x0e2d9b421a200965, 0x18ea4b9e911e4142, 0x58d20e2293e56bc5,
0x275db3d28c78265e, 0x06ee512cba71d0f4, 0x9688deb9e97c2294, 0xb97cdb8d1b81e956,
0x67533d6e3deb86d8, 0x0524878a81ed676b, 0x7062d73f7e8ee778, 0x6a053b1361985336,
0x4ad3280659f49a98, 0xe1f40dda848afe59, 0xcd569106951cf523, 0xa5718b489c89b788,
0x94ff359b11447e7b, 0x4a5ad3ab9fbae86f, 0xfa5bd91dc159103a, 0x2b2fe43aace7f9da,
0x5514a060df98226c, 0x0ee7482c6b7cd226, 0x5b12ad7f4a36e091, 0x6d763d570c7a3d16,
0x80ac0f088c0325f2, 0x92ba5f82b6ade82b, 0xf3917866c2ef6a0b, 0xcea7882f6cfadd58,
0x3bbe413305e214b9, 0xad9f1a3fd51eec00, 0xbb66d0285f8a4e93, 0x29ee68ed090df847,
0x6dfc631ccc8e10f4, 0x7639d254615bceb7, 0xe5c388004e58239f, 0x863bfe9b5f7d3898,
0x1e724a8ba7bb7b59, 0x9c721ed7711f4b62, 0xc9535c044a2f9353, 0xa396cfdeedfc4143,
0x30b4f246a536fd7d, 0xf350cf5ad26720e8, 0x9a43e38f265b3210, 0x9d33aeab3cd6950d,
0xec95778e77b20800, 0x46dd1ebf2a696aee, 0x7e74a3c113d7f40e, 0x9a4a291cf13ea136,
0x735aa38987dbf7d2, 0x0b5a69ed9980680c, 0xe27cf6e9b5288bc3, 0x505b1d074b66a583,
0x13d0040502eb80ce, 0xfb17e5b2fdffbccd, 0xc30ca9574989c0c3, 0x10bf726e578c21fb,
0xc668acc2ee45fdc4, 0x7cdf5587f0143433, 0x48a17f1c3ef78e1a, 0xcbb1dd26a47d624f,
0xda31856fcb739d6c, 0x8d591f5a29646617, 0x21c8c466f12845b9, 0xb593ecf8d16f8adc,
0xba909c56dabc7af9, 0xe966e5a47abde7a2, 0xf731925114fa06e0, 0x6a14a4d6b46e3c0e,
0x88ce236a2599f99d, 0xad9a2d3df024558b, 0x40d6179c58ca29bf, 0x4b0932da0dd79185,
0xd8f6ec18852f5a03, 0xa16c134263b8f026, 0x5d91f18c5e0a5162, 0xe38cf0c0336aa0dd,
0xf6bfc0a4857be21c, 0x0fd63faef86280e6, 0x93d381e9d184fbc2, 0xb2667fdc4f709422,
0x89df29085ca1ba5b, 0x0bbf611999981c79, 0x356ed9536ef97eac, 0xd967c57787227b3d,
0x149abe628f7fe7dd, 0xee992b9d12a4172d, 0x0c5f17bc3dce1223, 0x9f70f68a68b92fa2,
0x2903b10ffe33fc51, 0xa8ecf8ea96093e6f, 0x9190bb471b454c77, 0x8d1d35335edccce9,
0xb899815177efe522, 0xd45d27cf8128c439, 0xe79629cbdd6010b3, 0xba52ba65a52e4eb3,
0x26ed87e226c9fb22, 0xdbe0db4bbd7519a5, 0x120eca287dee888d, 0xd2f7fc69830e0a60,
0xfb4dfcfa77057d31, 0x8215b70677827952, 0x06bb138db0cfe875, 0x056268c0e706ee90,
0xefac511a4f798498, 0x945d8cd21628b345, 0xc1c069f8685affe4, 0x512e6a44a73706b5,
0x59cdd380757b532b, 0x562699032d619472, 0x4d55692214f22193, 0xb70f0af2ef39a86f,
0x19822b3ef7cd1b8b, 0x87454fcd5ed8d1a8, 0x80d6b306505941e3, 0x437b678d1a8c14c0,
0x3931b1d8a7904c06, 0x7d8eb32de4e18644, 0x6eebe9166c3000c3, 0x2d65c42904528a44,
0xffb63149f3af2acf, 0xa799a35c59525162, 0xbdd8b1ece3a34828, 0xa4d72877704b1477,
0x3f1344ca5311ed96, 0xe75df7afb57a747a, 0x186833ac2da1d112, 0x1e8029bdaa8cfa85,
0x8fe6ecf4e4b06cbe, 0xb42eca36d6586a20, 0xc5f7cad8441e1b74, 0x4eee86f5eab8d53e,
0x946fe279bc9bf63f, 0x90856bf5a1e9969e, 0x6dc098e4b03cec48, 0xf84d203b36ae5fc0,
0xba31832016f094bc, 0x5c729b422dbb0659, 0x877e3e457e6eddd0, 0xd2a188ffd5153ff5,
0x4e96bd6737eceaca, 0x6b4bdd29ea50144d, 0xccb766eef0541baa, 0x76e156bf39152cad,
0xbc434b89559cc4a5, 0x825e9a3fd791535d, 0xdc8f26c7ea6567df, 0x9af7a54a7c039c8a,
0x306f0dc701253fdf, 0xfbc8b0199055a8c1, 0xb1707d865415160f, 0xb11a95123f3c9a42,
0x2e44ef9663591598, 0x1e1084a35a63e375, 0xee388b73b265a7b1, 0x23918627e715d581,
0x07f4ad1f562237fb, 0x1a7e603f47e9de7f, 0x34100cb488cec8e8, 0x14992b0b9851e44c,
0xd61cc16d8d3b1db6, 0x1dd8d2be1c65fde1, 0x1db08942bdf50541, 0xb75500f5335eb49d,
0xfecd8765d392c105, 0x6c563d8b0abb13a5, 0x120eeada2764bd89, 0x91872c22a548436e,
0x56e12938f16e7dce, 0xf13c7ef4929060ba, 0xd7172a3b90e0f85e, 0xa617c41f39e63509,
0x287c5dc005087a09, 0xeacd597984c56f35, 0x4ed7886dad9c575c, 0x31aa01a94964900a,
0x2f7bf1056e6c19ad, 0xaba4d401ed742250, 0x905cf49670844e54, 0x617becba85fc7c70,
0xdfc98e481a34de4c, 0xafcd5e00cfd6d0d9, 0xf4cf2023fe4d3101, 0x9fdfc9ab3294d05d,
0x6ca764d5908ff10e, 0x59b50dad3cd67c34, 0x4f13da29fed25d90, 0xdf6c93d97a1aa2d2,
0xbc29df97a920e4ed, 0x08d0ee19d5376900, 0x2f6b88fe55c5acea, 0x8a08cab54c4718e2,
0xed7e1ab21899dc6c, 0x872acd7cbe9da8dd, 0xb3fc05cd5b6239ac, 0x4a524c829e8b23ea,
0xed311acc11e08933, 0xb0f16d23a74fe645, 0x980e444b682a9845, 0xb95f4095519c3fe2,
0xf111b31a1797605a, 0xcc2bfe99ee65a4ad, 0x03b53f9089864673, 0x1f2bceb8115f0458,
0x4e670e0c7f4d2d1a, 0x1cfad714abab0391, 0x2d677e826d1ebd00, 0xf840c088d8ef282c,
0xfb0c3c0e9769fd5a, 0x201b6dfe79d1ee44, 0xd8f9f10c925b7ee5, 0x83228c30a0856857,
0xe35a8122e51098b4, 0xfc140ab95b2604bc, 0x82e8faa5e23d1010, 0x0760654ee3570bcd,
0x22f7d6e10b111fd7, 0xe849a767a5a3cd5e, 0xf46158fcba11c40b, 0xfbbd38059171926a,
0x3ecf7588d4238dc2, 0x447b2fd50683cf2b, 0x52e4afd72a9f8f33, 0xb212a4902a93b17f,
0x4c7a70627fec40cb, 0xdb2b1fbbeee580d9, 0x6228b281eec43834, 0x88845030c4d62857,
0x087142235b2ceb9d, 0xd0506be613196d48, 0x872ba6e4502cdc85, 0xb6a2962ac13ac070,
0xcccd77a783ae13a1, 0x3239ab4fd8df11a9, 0x3b1a873b8b26d62f, 0x3576b85fb65c83c5,
0xf8abc5cd0c082b33, 0xa980c105bb5299d8, 0xcf0cd05aff348fea, 0xaf526ddf5ec270ee,
0xa4cead7465e20916, 0xbc637b01ead98c50, 0xbac9cbdc4c482b35, 0x39dddd1b3988635a,
0xad3876744b0ea9a1, 0x83bf558eca06888c, 0xef2e72d65b9ce4ba, 0x419b75f71e947881,
0x08874f0049fb581c, 0xd65a8e40701e3ac5, 0x57aacb192b4002af, 0xea3ac58fbbb9ed30,
0xda5e297cc254896b, 0xe90ae3f457c395ce, 0x0df4f2c5b3d4b9b7, 0xd5c350b298f21b11,
0x22ddba3fe4701a1e, 0x5a7bf3c7b6cb444c, 0xbfc160dc45d38eb1, 0x52929b4348d726c7,
0xf37d6d1f0cf0ab25, 0x821d3f162035f8b5, 0xcd1c396a30578748, 0xcdebae816ff01552,
0xb19b6f7e3cba80d2, 0xba82705fab694f1b, 0xd7797d62f7df8249, 0x8ed4a406c4785f8c,
0x4e14379aedaf8243, 0xfb257acddd3d523f, 0x7f70354b662cba01, 0xee5d70f638ed8382,
0x0bb7591922631fc9, 0x871e89090fda1ef0, 0x34cc11bc4df9203c, 0x0609cd069806ba74,
0x907484be16d75f4e, 0x22dce1b9c0288aac, 0xff7464dcbea5cb6b, 0x326ba60336161e63,
0xc64da7370fd95088, 0xc8737effa3264203, 0x8698c6b9f4f99cf2, 0xfd6ebe008b3ccf8e,
0x5e536d093cb845f9, 0xb4368342b45da646, 0xf8159613936d64e7, 0xf7f14e83b5e3e6e2,
0x9e51f76ac4be0d7e, 0x527ca003cafef960, 0x39a6790b7ae53b0c, 0x8dbfeb13365e9637,
0xc8595b330d552033, 0xc98c4f63bf04ad42, 0xde3b0ac250098871, 0xd5a0f86c5ab092c1,
0xcd7b9fdd1a1655d1, 0xfd2f6c0d722db96d, 0x0afdd5f171b67772, 0x691c1873ce370856,
0x9597215d545d8697, 0x454910c21bf1561b, 0xfb75a0a5164a5ea7, 0x21f28799dd9a8b10,
0x2d0c36bd60ee44dc, 0xd3eb3d1e0ddb837d, 0x25a599c2eb8b22e2, 0xe6d8a5030cc1f15c,
0xabb88ca189f02f72, 0x7d48376cbed985a8, 0xfd16679909a7900a, 0x29678d861be670bd,
0x251ba1e01a47e8b3, 0x27cd303bc25f6210, 0x377288ece6dfa687, 0xd0a78cf4b48da76d,
0x6140135d3c46b1a4, 0x959aeef6bbfd2687, 0x00c23da7c036ac33, 0xd87049989ff2a05a,
0xd484146ed334d5cc, 0xf9aa593bdf9e8e33, 0xf8b35acde11d27a4, 0xbe5a247a6479c46e,
0x1d7a9b2a0ef2d588, 0x13123b10dcbb133b, 0x5a93f7cea88bb29c, 0x0ad93302ef02e498,
0x95ede844de9db014, 0xad8b7e46715c06ae, 0x873b8aa7983cdd71, 0x3d8469afde978a58,
0x16a715d99083fb20, 0xd81fd4dbfb5345ac, 0x157a3d58119df0fb, 0x0070be0f86a6d6c4,
0xb3a4b324ee87c381, 0xb4701afc5a2e1800, 0x8e4fa12ea1327071, 0x7bc9e55f46be6feb,
0x9b7fba62714509da, 0xabf96fe3c4f94389, 0x2434bf57e0923c13, 0xf039814c7b5fbbc0,
0xf62948f9d12de500, 0xe27a9c61ff29c363, 0x4c158bd0282ffcaa, 0xf005469c290be1a7,
0x713255c977a11599, 0x3371a889ef8b93dc, 0x246ce79e9f5f9749, 0x256df3e3f93e4174,
0x40570986a175394e, 0xbeb3184ca60427e3, 0x46eece3a96893bfe, 0x8319c48c5ae02fec,
0x7e2f43ee60890de1, 0x680bade6e38e15f4, 0xc8bb01f781a549b4, 0x59d75a2f91ef9639,
0xb6208cf32a5f5c2a, 0xbad59f75e07e26ec, 0xd8c040a0ca9f913a, 0xd96b1c39084540ba,
0x49012aafafb0749a, 0x8316954f99465a40, 0xcc4616b7727811a7, 0x27d9ae5ba5aec630,
0x62d7b918ab412f03, 0x01a999661c887da1, 0x182564ffc63dbb91, 0x8d220637d3c436a9,
0x85de11d68f30f5af, 0xe8c3e2c18bca1e89, 0x5f2f253f2acfe2ee, 0x94a9f4cfb8f79236,
0x06bdbe4b8a6caf87, 0x4d160a65b7ccaad0, 0x226ce5ada73f7c50, 0x0e327927e201e6c2,
0x03478649d0dff484, 0x11294335e800e7a0, 0x591b89f8b03cfa8e, 0xb4c68c23eceb52d1,
0x647c7ce1da2788c1, 0x913cb47d1ecf5d86, 0xef3e13a2f80e779d, 0x564ce4592ced1cd2,
0x9b5e8d79a9b2769f, 0xab18d22e35694aed, 0x3f99bad99192d8c2, 0x0d12d6ba73754d2a,
0x89c06bdb767233b0, 0x64faca09ef9f9792, 0x9e4d4787c52968d6, 0xadebff40c7245fd9,
0x33a2430318f35c43, 0x9cc8b34cfc9b18ef, 0x64f66e7bfc30492c, 0x7c7c1c9533a95733,
0x7ca0283d6019227e, 0x41e804495a7a30a2, 0xef8900296ab2c56a, 0x9be1a18369abfe69,
0xc141427e8065408d, 0x8ba938d17cb402ff, 0x8a730af8ea1a8d52, 0xbfbbb67cbfd25bad,
0xa23d505fc7d538c5, 0x0f05a46b6fdf1548, 0x89991b74878d21c4, 0x92fe6a0d6efdb62f,
0x52378e523d38481b, 0x621da85e57e0771b, 0xaf5017b1fbe3acb8, 0x63dbab1dd3bafbc9,
0x02f26a18db45556d, 0x112bca10cb100927, 0xe3910e1321b14eff, 0x7e2e657408cc6d45,
0x5adbc1bf88ebef9e, 0xbccedc4a955706b9, 0x18350d8f6ef3653f, 0x0021550d0b29abee,
0x8de975b8b953ab6a, 0x8b37133f46c0ee73, 0xeedcf73332c92ddc, 0x29ff849ec9632497,
0x7c399ef612b95b16, 0x3d37cb300302f0d9, 0x0a3d8d316e6da2d8, 0x80cff5e89a293584,
0x1b65ad23d2905210, 0x39e574471588b3b5, 0x0f2b362f319677a9, 0x7e33fda99fed03bc,
0x91209738fba939f5, 0x332ec2936a144f15, 0x6b8aae9928f7d164, 0x186310cab5a6ce88,
0xa02353b054cfc664, 0xfb90b6168c8a553e, 0x7783772e52f7bed6, 0x1ca6b1d2d93fd27c,
0x2919c3c85d108c07, 0xe50d434dece73c49, 0xa67492acea15d718, 0x7d7f9e709625c657,
0x3d92c6863fd40be4, 0xdfc59bc210e0e430, 0x4e76c24ed1d234cd, 0x49cbb6d2ea0f33f8,
0xbcdf8d9a5e042e86, 0xd14e6f875815b512, 0xbf5e2074e8aeec02, 0x9e02a20e5131b05f,
0x360ad4df7af6f624, 0xa93dd841e726c1e0, 0x76de1c577c038586, 0x9185f1fe9589a03f,
0x392bc110b8dce0a7, 0x058d1b660f84067f, 0x6b85f1db5877d118, 0x4ff8a4af2c16aae3,
0x7b4bb03622f7310a, 0x0a04cb78d9d7533f, 0xb7025901a6c083ac, 0x0b09966aefb3cb40,
0xd0e69307f85e5c3a, 0x84e56a2ad975f315, 0x8a0e30ae3683730c, 0x398d1481c8f77458,
0xd168765a21f564e7, 0xa6c0cda290d3a7de, 0xdaaea91538af2b40, 0x58a9d0e6ebeccce4,
0x2c98c34b8707e751, 0xcb705de2df843d4b, 0x6abcb4977bd679cc, 0x66eae07f7ca3eb7e,
0x0198d015228079ed, 0x1f5af0dcab0a961d, 0x11171b4bd9ea0411, 0x07509e5a234f7ca1,
0xc6da9747a5e44c1d, 0xef58d859cb214cdf, 0x5e27bc81c39da0f0, 0x510ecaf8e6923bd4,
0xf6d24bc7952b0266, 0xcb616d5c4ccaee5e, 0x964d0f42ab767e42, 0x6426a976385cfa3b,
0x48c52b3e35b2a6ab, 0x7a83ce3559e8de74, 0x3a49a3a6807ec94e, 0x58b9b654692327e6,
0xe5feac449fb7d844, 0xad68b5d2ab072006, 0xc6828f6826ca0097, 0x1088bcf33bd145d9,
0xf7b02d61cb8d6e4c, 0xb6f8ccf41fc5a80f, 0x1db28e40b480db66, 0x80726481766d44d5,
0x49caba6f8edd2328, 0xaa5e72ff6eb5a5cf, 0x89555ec7aea4890d, 0xa1d57437d7b99790,
0x1f3d0083172c3dfa, 0xcf66d1c8b3050d0a, 0x9975e2903831f484, 0xc1663598ab4d535b,
0x6f6c4a52295a3728, 0xa66d60c70ab4182f, 0xa7fb03c5913b78bf, 0x2f5144c88969eb37,
0x171b8686ba0efb70, 0x3ee576b610f5f132, 0xf40dfe346f5b4bc8, 0xccf9058d902b3ec9,
0x64ec951cf4aca808, 0xe2ed49d1c923ad14, 0xfbe06a225608e407, 0x6cd20ca28c0aa562,
0xbe32262bb89e936d, 0xae28a8f9f3f56bbe, 0x2dd2dd181ef5124e, 0xa8f554eaa13efd64,
0x41df04024af6c920, 0xb7e5210444f123b5, 0x4fcc36ac1b1be891, 0x3d8454480e77be6b,
0xb57b992e101397d0, 0xc910450eb88abe75, 0xc215c72ee826a992, 0x75a5704b615c0864,
0x74c35f9f426d57fd, 0xf02e1d3fbf344cb2, 0xebd59577da4067b1, 0x5f5d93684b2b5de3,
0x13af3958f84f50a0, 0x35555eb8d0003ecd, 0x228e26aec68b1949, 0x51dd64cd057ecc84,
0x9e0452f462ba789e, 0x48bcf742566d525b, 0x93e5514a8fefb005, 0xab5c500fd2ba2ef4,
0x5a3b9b17e4a87c4c, 0x29a61751806998bc, 0x7fe6c019f39a68e4, 0xa24a22d788d14c29,
0x83e7d3c298215759, 0xdc2b1c6d6bef4347, 0x640d51d84ed56834, 0xd613ca709f6ccb13,
0x7f13198374c22a80, 0x909a5872238daaad, 0x4b96a56dd7ab3686, 0x73c265dc5bcc576b,
0xaa303446b9af8b68, 0x9d0446cda0695515, 0xcfb11aaccb26125d, 0x141b6afe3b7922e8,
0x7b39e5a5a9b5268d, 0x1574570a0fe3edc4, 0x7fb5c1976e9a8b0a, 0x89f99b08d73cd1c4,
0xc264beffcd584506, 0x2c27c54de04b3e61, 0x9331d520fea42719, 0x08cebc837ffbe441,
0xac4ea5401c06c775, 0x1d80118aab7d109d, 0x80bad2d976263da0, 0x6e9f6c33dcbee03d,
0xabf37d960728fd5e, 0xe6611f6c26fe5ded, 0x44d3d9454eb9ed43, 0x15960550a922ab98,
0x7000f8c46d6680ad, 0x446570f1e3da0705, 0x060c5aa8eb4f8180, 0x40729a6edace1b71,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x110319a95b6c0546, 0x3de75ee7ad2c63c7, 0xa55db193d9966ef6, 0x65681ac6ea84de14,
0xa21c06e5c3d161cf, 0xbd77bd34b807e312, 0x6ecd2eb89a476d4e, 0x1aedda80c5247e06,
0x30a4a00cd12bd5ee, 0x844d1c312e6ad357, 0x61e29c8f12d8b877, 0x1564f89cef169c28,
0x94ea53df2559ef28, 0x87591f659b385833, 0x96020e68a0aa321e, 0x0c0786905578830b,
0x474e8d4dc943f8ca, 0x6951da06938af9c0, 0xbb2551baf39271d8, 0x53743fda6c7e7bc5,
0xfc1cf9e1c6e575d1, 0x086d344e8c362e2b, 0xf29ad418fefbcb54, 0xe6166484464442eb,
0x4d9d6cf095bc1964, 0xc0e26677d220887e, 0xd257ae6bde3e236c, 0xefe8286d6b0efd42,
0x2ec3a9684fdb8f08, 0x89ee7ca150dcc6f3, 0x4ef9b84b1dee73d5, 0xbbfd0787b5ae48f1,
0x00f1f4ddb610551b, 0xe3c9488bf3d66bd6, 0xa9ba7f78920faf7c, 0x26b4801f47f97442,
0x395c5644b51f20ab, 0x7097a1ade545045a, 0xb2f89a9fe0a81bf7, 0x2047b4070bbd5d02,
0x8705ddb479d0a0a6, 0x290370f5f485ad96, 0x493f0d4bf5612cbe, 0x94a99f31ce11fff2,
0xf1bb362434fe8bbc, 0x48339dd3fb3dab83, 0xdd96502b120981b4, 0xdcdebeee2c6f8f13,
0x37d791bc702a1b76, 0x7667d65ef60e4108, 0xa7b79581c3398b5a, 0x67b2b4a621f222dd,
0xf9f8423ce54edaa5, 0x207c467a2f73064a, 0x4ba0699a72fe5c39, 0x55539a1a69a299f5,
0xcca96677c9b59f77, 0x2a0671e2b3c16897, 0x8c9e9ba0fcdbc326, 0xa1a49549856825f9,
0xed96169b72244c80, 0x00384f7470a47820, 0x0623e51567c6cb7b, 0x9c2c40db6fb3ec1f,
0x514f93bec06ea16d, 0xd68ce1bb75abd6f0, 0x9b1ec28c5c38fade, 0x9d67e2d2811908f2,
0xafef80aede3321cd, 0x0982e3ca67380c73, 0xeac4d40fb33e8b23, 0xb4717eef350dbbf3,
0x22c319e86acba70f, 0x28310c6c2d084a63, 0xf118502a2c00711a, 0x60843fd6a0a4b9d7,
0x52e0d1d6d2f9975b, 0xb975ec91b91b3f31, 0x1b6f2d486b0e072a, 0x1cbb83e02c2a442f,
0x9e97156b8ea23152, 0xb593e9f1619e9ba0, 0xd8a1664be8e9b64f, 0xe12da827362803f3,
0x2d8a60d1441639b8, 0xea95fd5c0b5f753f, 0x96a38f9e1db193e3, 0xb024439632a98302,
0x09fbf7a611973521, 0x56d7a4054e8aeb66, 0x7e5cd659bd7ead26, 0x3ac8eaaf28246ebb,
0x2a64e860bfce66c0, 0xa490f83d6b1c4775, 0xb7edd37afb40f152, 0x37dd7f2da1e888ec,
0x709f7e4b98a66e37, 0xa154918cfd64e042, 0xf52c7407bffead12, 0x43f5a97c6bffd86c,
0x8bd80f9f83feee9a, 0x7eb952f9868847b8, 0x093034bb60335484, 0xad312651e22c3545,
0xbeb2363426eb872b, 0x09552e5f6b515d67, 0x22a98a1553178c51, 0x6573c89364823566,
0x770a4302490659ea, 0x34e4a775b8e7f38d, 0x6fbcfe12a404d2d8, 0xd8a07ef95fc29fff,
0xf5ca702d67a98fc9, 0xbb717017fe665cd7, 0x99583727643ddfea, 0x0c3be40c19d36ed5,
0xe24291ad8ad63bd5, 0xfadd3f7476aa3359, 0x975fa1dcc4f8ab61, 0x9f3025fbe03e80d9,
0x43e595021faa54c7, 0xc311927829447a71, 0x751cbef4b9fd1ea7, 0xecb35d16ee4e539d,
0xe111dfd9f78ecf4f, 0x679b22875f6d1bf3, 0x9f4249e0fe378d58, 0x8563e4ed075f6430,
0xc0234db57951f1b7, 0x21b3e68128237636, 0x230df1bf74f0737c, 0x97010ecea703a2e3,
0xe2f067a9956ac970, 0xafdf3db052e79e14, 0x8be8e8fef8a1c6d6, 0xbce086769f0ec5f0,
0x05ac24f03c7a7f05, 0x3e6b65599cf1af49, 0xc136c60cbe18c03a, 0xcc5745ac48dbe0bc,
0xc9ffc840bde2604b, 0xb6ae15f81e3c79ed, 0x465b537d59ad1b43, 0xcd53aa284ab22b4a,
0xff00a8d8a1a8c189, 0x6d454f5019427629, 0xa6a30ebc559fa049, 0xe271a62d4678ff95,
0x68ef8f7ff1b68e74, 0xb315c752a55dc46d, 0xd82f0ac159a3b6c2, 0x4b17b0430b24a6c5,
0x254c32d96e97bb48, 0xef591ee884639000, 0x3a6792b9e3fa9bf5, 0x5154330d9f41393d,
0x53d49b1acb2340ef, 0x82df9760b4bf7757, 0x37a8c3b57990092f, 0x7339c7a57930092f,
0xe9ced756e229bf35, 0x955a54d41fb46ad5, 0x961c98922d3470b9, 0x401b23059b91574b,
0xab3bb86f100c8e5a, 0x9a001529884642df, 0x204f2c00b195f6b4, 0x174f5427f2aaa41a,
0x9bc50a52adeb52b4, 0x1eafc961abc16e83, 0x70615054da1af7cf, 0x018caf327b1891fa,
0xee324b01319f3885, 0x24adcd1390e351eb, 0xfea08d11c004259d, 0x7a3679f87b8ee14d,
0x12fc0553c507c957, 0x524884d7cd5d52bd, 0x70f5ee7e645b1fdd, 0x3065ffbbb2d60d77,
0xba6daf2dee220e45, 0x24fb3351a1c7c6c8, 0xa7c5bf7a7b0acb0b, 0xa060c84f7f595853,
0xed365a25a7889d40, 0xd99d9e7764205688, 0x1300b50c2a2eeea9, 0x760304140cff20a1,
0x74aa860784ee79e7, 0x5702724d1de5f04d, 0xfd4e4235e00a9c48, 0xc12e003ec6b198a0,
0x24bb2ba9fa0c6013, 0x4960f35c8c9de7a8, 0x6a5e3e5cb561fccd, 0xc22bc01e8146a936,
0x5ec053a0f3f2f6f7, 0xc2b5e1343efe15e9, 0x35d9ec5075fc4cc9, 0x9eaaaa42252870d1,
0x3039a50e5cbf950f, 0x97c9bf6c78a317e8, 0x3400db7a38dfb73e, 0x0c0cfd0b4fa96622,
0x5b3898b23f1a7833, 0x1da402fc06aafd02, 0xcc1f37b76ce63eb5, 0x0bf88fc97df3ac20,
0x4f288fd1cad2f418, 0x96d594cdafa24404, 0x09a33a2be5ed0c98, 0x9d4c9d4de4f7189b,
0xfdc0255d4159e21a, 0x7c9f478b2b7ea9cb, 0x28711134b56e81ef, 0x2d6df6f259330bde,
0x38447df1ea9f7eed, 0x48b72a97ed270576, 0xf3849eb60c5705cb, 0x03a32521ae37f919,
0x8a793893be8b0cbe, 0x462d7e27b8b19630, 0x266fd8c18ff4fa6a, 0x9fe6e4b19ac0dcc3,
0xdad9099c51afe9a2, 0x50e135cbb7dbe1e8, 0x8daf8a4820b35030, 0x7564c6514a0885b0,
0x4cf0f4aadbb8010b, 0x5128b02fc3e21b18, 0xb96cf535981d3025, 0x2e74060a2516cfa8,
0x05f5cbe87cd27ca8, 0xae1bc8fbfbe436cf, 0x43bd81273f0cea82, 0xd9b085eb3a215276,
0x73e650eb7554bce9, 0x7d325b72389623cb, 0xd15f3096f17bce8b, 0xd9c15be44f34389f,
0x8ac13f9b6f43de6f, 0x887a30e9470f18b2, 0x5f769821aae879b1, 0xf280c8951f19602f,
0x3e07cd0af83503de, 0x1fde7e30725fb5b6, 0x7cca20d9e29d8307, 0x8fffe1cecca6f4cf,
0x0e96533140b1c03a, 0x27521921a570556b, 0x763e261a444d4bf1, 0xef7c6f0a1c73cf19,
0xba5c17da207c5e55, 0xd94beb4736962825, 0x26c73fc1417163ec, 0x65ca40af3f1badfd,
0x3945050e1d6d14b9, 0x20ba1acc9e03d215, 0x26ded295d5d26305, 0x8e3c49e723de06ba,
0xfb9cf3c292422f6a, 0x1e67cba58b6cc50d, 0x481588f66f2ad506, 0xd4a3fe73ffb80a43,
0x68d68162ad57faaa, 0x893bd6c2b9f933a6, 0xcb4ffc06bea9e1ba, 0x0b1a8960495d7bf2,
0x83a2d3ed275bed45, 0x6b24389fe489dab4, 0x359d5e1998d87182, 0x22b8e0524afbdc48,
0x05ed3991a123e1d9, 0xba88b3be44360264, 0x4ce936986eb198ea, 0x77d5e7bb260ebddf,
0x79c00ff65391c7f1, 0xfb3ce3d7486372ee, 0x9763dcc36e735225, 0xcc629b15630fe816,
0xb6ee20d289f03746, 0x7368d902e063eda9, 0x3b0953e035c217e2, 0x3fa40b903f1df986,
0xb4dc8e707fafaf8c, 0x43033a13a49247bf, 0x32dd6ce0847ec239, 0x2fd19a0ac9bd898f,
0xacdbcbcf10febd4c, 0xfb90cdbb33661676, 0xccf1158d73f27c3a, 0xbd0f187bfa6837ca,
0x9ccdd6c4dba52a59, 0x11ecba7ace49ed1f, 0xb35f43f97e969960, 0x877c9b37dba99a63,
0x125c5a7117a2844b, 0x37bf4c204e810ca4, 0x303f0a3458bd1ad3, 0xdb2836671b32b28c,
0x093898dae862ab78, 0x44edc71daebfc852, 0xdd87e80a8f6114f8, 0xb0d90fa567386cc7,
0x25fba30982ae9955, 0x99e7c9040816c1dc, 0x38f366726d89feb9, 0x6e863bc2677f8873,
0x13f871bd46d9626f, 0xd77e20e96f77fe2b, 0x66698ff04f2667d5, 0x82af26eb54ef8f0d,
0xe799b72855015bce, 0xa38a86beb25590f0, 0x48c65d41b6fbce8f, 0x021ee22d7e621edc,
0x197650638f23b4fd, 0x74b6330c4b041641, 0x0fd6452eca0702f1, 0x55e7d64e0e67a5f8,
0x925be9a6e6bc59ad, 0x0b12e087229bfdaa, 0x613dd9811f0c831a, 0xafa19e96bf66542a,
0x3a16818b956f7181, 0xcf9e07130bf24b2b, 0x013eb736a53ec147, 0x7e8707148a1d6c5a,
0xbb28599d8a2c49b5, 0xc55c82f0361e18e2, 0x538dba514193fd89, 0x2e4273e73221570b,
0xe86dead30ef27765, 0x4f99a56ff63cf24b, 0x16c38e98f64847de, 0x3ad02ccacfabde7e,
0x670ec8811b9e9f55, 0x5a623b5c649fe0c8, 0x8390e02f133bcab0, 0x99dc90535d84fbc4,
0xedcf55a769c573ad, 0x1ea66fb89d65e267, 0x6f1e9722f203fa9f, 0x2a620fb56ac77659,
0xa9db271c065a19be, 0x97ff3bfa5c0563a0, 0x3c8fcdf749994a8c, 0x9e1bd3400aec31d1,
0x3e6153f1d00d71de, 0x23fe340dba5c5d7d, 0x7bc34717ba57eee7, 0x51f07556d6d12779,
0xb2db91b19e6ec9dc, 0x9466d79552fac32a, 0x5a7ef43d677c4226, 0xe4b3e3b44b4008d2,
0x0d650ce5584def21, 0x55185b47b7ba1784, 0xd559b9ae107894ad, 0xe25ecde7bc6ce65f,
0xdeef0fa9cecd9db5, 0x6e83194e36776b1a, 0x23ca5fbac8088d3b, 0x2ea2b5e13955a069,
0x83ae0d51d534a204, 0x7db51fb2d27b92f7, 0x8066b0e1c195e2cf, 0x2ea2a715dcf5ca7a,
0xf3aa79a2e4e8ba9a, 0xc9e38a2426ba1005, 0xe6965a4e3f8c3a3e, 0x723976df4e5d47ae,
0x8b53c335d68e8dfd, 0x16e57a539c129b55, 0xa2ab04fe3170a748, 0xb1f3c9bf0408f6d5,
0x79e4059b0ad702f4, 0x32cf27c54be88d73, 0x3701750a39367a6a, 0xe107278ee64f3777,
0x82107d39acf8345d, 0x7804bf75a9abb466, 0x4b78494248485962, 0x3e06cd87b792262d,
0x38d3bdab42c330c0, 0xeed432b27288d4bf, 0xb6d6d44763007956, 0xaf8c9eeddf473e74,
0xb7ad16ba172dd0f2, 0x1d78b0319c0fbad3, 0xeaf749543d8717fb, 0xd24602a17c78960d,
0x728b6c7da04edec4, 0x38328347df161db4, 0x7baaee2508e2f1f4, 0xcd1b1ce2fbd61c26,
0x0d5ad712f8b27fe9, 0xd75eadcaf9c9ce9d, 0x359a7246144bf2fa, 0x90e9b12f9ba6dbb8,
0xef9fa02db4067ee3, 0x02c4328216137e5e, 0x136bf05dd39fdfe0, 0x26345a89e17f1005,
0x9ea317660a5000ff, 0x25b84f34fee962c5, 0x1608ed4a6ec81f05, 0x9300248eebc0086f,
0x39829b8b250e37a3, 0xa7e9c104a193c7b2, 0xd3e05273f27f8db4, 0x1e4c54e9bebc29ef,
0x9d7f591184200ee3, 0x4c039e2892a7cbf2, 0x0bc29b12b4b45494, 0xeeb6623ddb019322,
0xf85026fe0cf55d8d, 0x42699ebad4565675, 0xbb3bc82a7c8e6894, 0x87d0f8d61d6eca87,
0x33e20ddce045878e, 0xa18f7e74f6eb1aa5, 0x51af767f6bb63021, 0x143f36cddb813795,
0x87caf66b88a3dd2c, 0xc29d9ca3c25b1abc, 0xde5c49f0a6ee9c9d, 0xf797a55522464f00,
0x3204a86122ff2c39, 0x3316d28dd56d06fa, 0xadeb7ba08568b21d, 0x1bcdc72db4fbd094,
0x5308b407e9c32143, 0x1a16e976c19ef57d, 0x79bff62950bb1f94, 0xb85768ce270bf229,
0x5dbb3ae0026ed7d8, 0xef7e01126be6171b, 0xf2b127e1e38de0e5, 0x5472312c1b0cd21e,
0xba48fd9c791e53cd, 0xe35ad4186a19d2a1, 0xd7a74e2b56551011, 0xaff43a397a6ed374,
0xd2977eee69f3d7f4, 0xb1ec6685b70724b3, 0xf5a5805d928ad164, 0x0bb527a23002211a,
0x240ba1fada8ee3af, 0xae8a0630c6671269, 0x0eb261ca9528fa58, 0x63dd02fc4e07b182,
0x6e3237e5d46cc1ca, 0x495a763c6450a04b, 0x40f0f95effb96cae, 0x35d59542f938d603,
0x219c756a60c2c33c, 0x3828648b7743df50, 0x6db50505b1222518, 0x175552b0602d682b,
0x28b3852575fdeaa0, 0xf8f97bce8254197f, 0xa48c0b7b013589d4, 0x99d7202a722b9709,
0x96f1f01b64d20533, 0x48471bec7ad43876, 0x2fca4d92d9f43e93, 0x2f461e135ef6efdf,
0x8a84d4d507ace2cc, 0xe3bc43e1babd954d, 0xf880bf5505d73c78, 0x78ced931cc2a0b03,
0x425975bc20eb0883, 0x536475c56d9582ad, 0x8b8300360c2310b1, 0xe4457d037678d3d8,
0x4af41d427b43367d, 0x3d5788627db6e926, 0xff8b7da71dcbc874, 0xf1554f065042da98,
0x90ef8cc83fd9f422, 0xce850a58e678518c, 0x2e31d8eb8b674b38, 0x027648b12c94f197,
0xd80b3941a2a70b58, 0x3654bf0ab070a0c5, 0x2b277fa9933b4a89, 0x49b9ea19df437907,
0x7ac1518756b6a72f, 0x79badbc1b40341a8, 0x1e7ca2f9792024d3, 0xa099b8e844792982,
0x0ee137d167a96c11, 0x1b9f30559cf261d2, 0x144f3b47a60cd6c6, 0xb128ba3d4eff62f7,
0x608ca6efd1691bb4, 0x1153d87d1b67355d, 0xc77d4b730cd67776, 0x477e0841a45a8a5c,
0x71eda8ea81bfc348, 0x634959cabe3979c9, 0x1ffe7efb1943a971, 0x4a966f288927f153,
0x303896d3129fb724, 0x26959cc3ac3dc8b6, 0x63403dad3af72ef1, 0x50529b68193a57dc,
0x0a14819461c95883, 0x0f1c646acbf19e6b, 0x23988d3b3747c7ed, 0x241eccf5dbd612a2,
0xd0efd3431b78e44a, 0xed9bc36f39b48af9, 0xd25f4c7bf17cd7ab, 0xb5164bc81c624134,
0x990b4af88fd60824, 0x6ba893ecc7abd11a, 0x00b9d3bbb913c31a, 0x42d093dad1fb1522,
0x3aff13397fb9a484, 0x0fca2853e571bbc6, 0x69a86bb74c5e8c0b, 0xe1260f194f624baa,
0x09eed3be1e939c55, 0x1cc395fd73c4f85e, 0xfd9831c61a1c8ee6, 0xcd5c43b61e98bd49,
0xcd990827d6716892, 0xa71f19004f5baaf4, 0xa6139ed032311a9b, 0x6bd781f7fc6f7b4b,
0x40ec6b89009c6bbf, 0xb8b3612b6b8ebbc8, 0x2f995907f3a3eb8f, 0x5bc415e0821c1a01,
0x0499c1c74c710498, 0x48746df1a6b7a6c9, 0xb8e1052a6de9064d, 0x9f61fc0ac37ec3fa,
0xeb9707de7eac303b, 0xb52014d7f9391f4a, 0x58b2ed1b9532e44b, 0xb266fba1389c7af6,
0x4fc53e4600a39d84, 0x2938a29922a33b49, 0x350fb8d6e38bf2b7, 0x579b8423e18018f0,
0xc36d41b91081acf5, 0x98f934fd5da1e3a6, 0x12459fe348c32ab4, 0xb9ba720cc1be26b7,
0x8eb9da20c03c7cd1, 0xcd439f1345770d2e, 0x3b87ed27ca34c540, 0x861889f2f1ccad76,
0xc34ed859426f9453, 0x25db7d650eba6ca2, 0xa141e81a82614fed, 0xdfdd8eb056dddc80,
0x3e095042ed05e98f, 0x783814eb104be3fb, 0xc651a3d56231f8c9, 0xe22b241d0eedf472,
0x2230f0e0e0d45616, 0x2616bacaa4495cc4, 0xa8a8d3fd94f9a2f3, 0xe1fb9e13f5a6c0cb,
0x4052358b230f23db, 0xce27e292a37425bf, 0xc9053046b8eaa47d, 0x715e25a4415aee7b,
0xf1edfd790b81a143, 0xf68774111690ece3, 0xfe1259c258f0d552, 0xca4fb3e35d331e53,
0x9d33ebb7c91eaf7e, 0x8b4fcf188794ebd6, 0x7928f1e8dc854f26, 0xfec66009031bab16,
0xf4bc9957009f8e30, 0x8141edf76690735b, 0x0181ca3c2a52c997, 0xd64b87476bcfab99,
0x04af88ba50b37c00, 0xe41e3184c38acc14, 0x302d1875730389a2, 0x7661aeed338ab638,
0x394b285871294789, 0xaaa250990d92fa92, 0x8848a72fc6b57d12, 0x21088cde630faa9f,
0xe8db6e6becdae418, 0x89d1ca14edfa1616, 0x068fefb1d93db112, 0xf5988a2fb6655a27,
0xad5fc9c91a2ca6f0, 0x1a0bdfe4d06ccdb6, 0xcbb0e5025d1c32af, 0xcedd0229ff1a0c95,
0xffdbf85613e523b7, 0x040c75cd5e116b18, 0x0a2af9c449a1ed7f, 0x89a1a510f8d63b1e,
0x1be539bf8cdc9be2, 0xc91a7d097d2701b0, 0xa90a4b905a31309d, 0x5c5838ec4841ea4b,
0x2acc1afb603cbe8b, 0x6fe96bad45c7d0da, 0x7e3c8ba1fa8a7bb2, 0xe351182578ad5da7,
0xdce62e9114f87332, 0x246a9e9a19cb5a59, 0xc7a6ced89ecae528, 0x778c068fb401dfc2,
0x19e24a0d62ac7cbf, 0x2f55f70e6c8caf67, 0x9b5c37294b67cb34, 0x5e69630f280c0f1c,
0x2f0e2e918f199527, 0xb07c7ceb286ecf2c, 0x3430aa947a8a1acb, 0xc8084d8eeea6bc76,
0xd3897685cd8c939f, 0x6d79a9f0a2d49581, 0x6cf2664a5e612805, 0x6cffea406ebea79f,
0xe9f6ba9224bf2f3e, 0x8c171b09bec05027, 0x5d375da4bbac1194, 0x962ad2d49c986811,
0xb809c54d29fc4f73, 0x274eb5b328273039, 0x7fe7f99e93c2ef46, 0xd162721dba9ff92d,
0x8921d4c29918b280, 0x03268b8d337ce637, 0x4f6417eaa2a9ebdc, 0x1d66a055d5ca69d8,
0x2d448d23a5c48196, 0xf3f6d07ee780c1a4, 0x1d963b408fe45063, 0xdd97b6322537c4f3,
0x06e5abbd1fd71b62, 0x129f4beb5271a1da, 0x616a1e5ed786c88d, 0x613130f50bafe890,
0xe4c17e1e18dc754d, 0x247d30e5e31fa670, 0xaf9c2e9cc9458e00, 0x794d4f75da8fcaf7,
0xb298150e3855007d, 0xc8e2b8453d2896dc, 0x338ac13d16b55bbf, 0x6fc2e8949909d118,
0x26c388aaf3ea0edf, 0xca979a2cbfc9042f, 0x1520f3979b3fc0bb, 0x7884661d27bdf882,
0xa297894ec79232af, 0x85a9a8fc9f32eca1, 0x68649ce690c6341c, 0x3aa4de65cce17d20,
0x47362f95931e2500, 0x954113cab95f2bb2, 0x111c6bb28d00b431, 0x66ebd5098f7b3733,
0xb77f1a04a2356cfe, 0x11612886b8d1f410, 0xfcd8e097e11cbd23, 0xce7c77f431a417d7,
0xe25ec1a8457472ab, 0x2b681c67742e69a3, 0x125808f196cc7c15, 0x7d27390646b39f48,
0x17b9793d9b10854f, 0x32866e834bb1a9cf, 0x10846bcc19136873, 0xd5723701ed8d72a4,
0x7f8846fc62033e1b, 0xd8f4c982190926df, 0x8eb015abca047d0a, 0xd21bbff9f31dbb7b,
0x7280d63f54adf001, 0xb4b86a6c7fe7efe7, 0x79f7e892eeece54c, 0x19cf9fa60d55e625,
0xa7124541e310ba31, 0x990c8c92c74a04b2, 0xbf5d40b41ca138d8, 0x607688fd0df8133c,
0x1d2b1ac1dc499ecb, 0x32f123187ff61728, 0xdcf1277a5e09a776, 0xab712c95ae3481ba,
0x6291f5d23ad26d9d, 0xc3a5327c7e015c39, 0xbe6e75f36ce7e8bc, 0xe18e868d74d1b509,
0x6a85273d0452f186, 0x2cafaba620e67bc7, 0x73b73276117394f6, 0xced802aea9cee93e,
0xe69c54e0eac00fab, 0xb44f5bb52388ef5d, 0x4e1a04b816c202eb, 0x6b7eca28df55e6f0,
0xfb2b50f46a13c3fe, 0x963d18ecf6f82752, 0x3daa48129569eea4, 0xa6938a8727530fbc,
0x90796990c2f98037, 0xfdcb4a2ce9611b99, 0xc1775d37e9f26b7b, 0xc0792e38194b2df8,
0x464b82a63cfae5dd, 0x155899c28bf5ea1a, 0x92af09ac2d2d75ad, 0xa1b85444dc654ab8,
0x8e5cb662be49f9a0, 0x54d36758fee4b81c, 0x3233b1820ebcdfc6, 0x71edc2f7ea1c168d,
0x1ae81524f6ce36a4, 0x148cc829eb55e3a4, 0x1f1c9cbd77a50c41, 0x23d12bc2d78b8fd8,
0x5f263dbae425fad9, 0xbf8a3f7106707318, 0x06e885d8b362b18d, 0x01c46d8127fd83d8,
0x0e33276cb9bc3249, 0xfb5b4557d643a683, 0xa888556ef33cf2c0, 0x64c402231ac0756f,
0x2b8189260f5fb10b, 0x794769ffa26eff72, 0x239ffe9cbaba00df, 0x51d4a0eed81d6018,
0xfa341c8f1f102350, 0xa9ed425399332191, 0x8c0e275b6e4c8fa1, 0x1a0d76413c7af2bd,
0x99a6522c0a7e4738, 0xa3e2eae9222e597e, 0x14e9a543da3a9855, 0x99bcec4a7eb07774,
0x2b4bdcc8f3e89781, 0x5b445c1239901983, 0x8d760e86af0bb2dc, 0x18552411cef5d249,
0x660eb657953c1a8b, 0xe169f74ca937d7f8, 0xfe21e8ba64c069a0, 0xe5a682ed777f9f4b,
0xcbdf593bb033a217, 0xcd646e3f07326bf2, 0x0d098a7c404bf1c6, 0x90f1325681fd11e9,
0xab271f1a27b21af0, 0x8f722260df412ac1, 0x61142bb39567b2da, 0x5702ab9ef092ae41,
0x78a92be57261f236, 0x1e77ed4f8a11f266, 0x4ad7bf7c7d6b17dc, 0xabedbc57856ebb4a,
0x7d18c28eb0361b1d, 0x58581cc08f09b65c, 0xdad12c1dbb2c8dbb, 0x69d8e48d3ec27b9e,
0x9d361c482bbc3064, 0x19977638a1d959b1, 0xa287ca1ca96c84a7, 0xc9944d8a430c784b,
0x8e97d6610f9deb42, 0xb99cc4c70b2f96f2, 0x4a1f07c07a53b9ac, 0x12f1e64e68882c69,
0x9adcb5bb88d871ff, 0x2117cd026b609ca2, 0x7f9623dd7302a097, 0x7043eb9c8730e7a3,
0x860162362d15d293, 0x1463607d930ef3b5, 0x9718216ad0c4d016, 0x001b351a86086a7d,
0x06d00eef514699aa, 0xf6df9927a56af0b9, 0xf20e6713b17ca988, 0x70b876bdd4474b68,
0x443bf18d9b3b3448, 0xb48dff93baffc7d1, 0x9401a4ab10ea9c5c, 0xeb6718f8fad04e77,
0xd1ef1072112c20a1, 0x8fbcc8a0c50ac761, 0x75f0b40f2e341b77, 0x40778f298ca7ec59,
0x82e88c9af6c4e7f4, 0x28ab3c216360636d, 0xf6d914d72baafe4f, 0xbdb539357040da2a,
0xb1d4fe75d99f04ba, 0xabcbf861a50d3b75, 0x24d378cc13a14fba, 0x6e45545afdd39345,
0x82a0b6fcd67c8341, 0x448c4f679800a85b, 0x05ed3b3e9c75a765, 0x3dfb2d1ba40431df,
0xa2c9eeb56c803c9c, 0xf13e87eb913ed01f, 0xea47c5ae94e6fad9, 0x89ee601c9af0d8b7,
0xd218d431d63e3695, 0xe2787d5a187ef71d, 0xf475c61e60bad04b, 0x1cc66fb035840585,
0x6d824991555dbf6b, 0x35d5fbf1d4475ddf, 0x8f9888f9a6f2dfe9, 0x34ed4699fd8079ee,
0xa57a8df8f633eee3, 0x9da207e3c2d68517, 0xeadcd5e0df7cf0e8, 0x03c3e5764f631089,
0x0d492f9eb763e3f5, 0x8032957d2d6fabf8, 0xdd5355001ec864b0, 0x8587c358edbf82b6,
0xbb19e4648dde4ed0, 0x6faf32e7ede1ec9b, 0xf12b04b4e8de2743, 0xc75d0d9394899fcf,
0xd38ee9aecbfe8dbc, 0x409503645e539352, 0xe444a13cc5b877e7, 0xe9f5c3daa337a73f,
0x0ba025884d79a250, 0xea7b4c4442e65d5c, 0x5f45387e569210fe, 0xa3ce1dd17157abe6,
0x991bfe1e8114973e, 0x7b2cbbc18f702aff, 0x54441a039152629d, 0xdbebaafcb8bdd6f9,
0xb22f22281b8cfa99, 0x26093fbdad9c1511, 0x93fb44a8c2b356c6, 0x1a4b2c94cd8faba2,
0x5ce6a34d594d8fce, 0x69fdaf3ac4170a59, 0x6ee78bed3d6014dc, 0x022e7eafbc46d660,
0x90726daa100b53cd, 0xcf2b2b5c2a971eaf, 0xdce45127fc8e9f79, 0xcd3b479108737ae0,
0xf36d00bac24c90c2, 0x4747a1b077a7a32d, 0xc1f380bc4cf822c3, 0x3bb345ca291389bb,
0xb75b33f0b656ab44, 0x4b52c76233d7bd8f, 0x3de014d76905ee81, 0x8570148c2da4443a,
0xa68a37c0a34b9058, 0x32b24e784d05ca25, 0x5a3572d4e3eeb615, 0x50507ec52c5f6bd7,
0xe006b00db10a6e1d, 0x8a35b746b9776f3c, 0xae5a28316bcc99e5, 0x88e3ec3d55483f3d,
0x3eb937761f714ed0, 0x0521ea3b43318b49, 0x47639db12c1562d8, 0x02eba2791aac7ce6,
0xda4d524ad56e4661, 0x6bf13132ab8558ab, 0x8b7d0a43d914bdb1, 0x6652eb0c58775be7,
0x60275dc415e86b10, 0xdec080cf9220521c, 0xd10f787a12539eba, 0xfe3cf879085ec78b,
0xfc8676950158553a, 0xe0740582315d4e2c, 0x9f9429aaa4f6359f, 0xf93bf7d8efea289f,
0xb7b66c63b0f6760a, 0x3a05c33cf07f8ad9, 0x46f19879c89cbb3e, 0xba1a1535fec0ceb3,
0x4c4c32a9d19fb1af, 0x22371b04dc14860b, 0x9d4d6d4d45bd8544, 0x5e2055b1a81546bd,
0x77e6f32884f4cc7c, 0xb1648731f6ce6989, 0x3c4416504f7a850e, 0xf17339eb208dfe43,
0xc10ac0b0652d566d, 0x801d0c0db0db4d3f, 0x67b6be6cfd9697bb, 0x6570e30819eb99ea,
0xcf888b694ac2084d, 0xec0a0e9b3c2f9f5c, 0x5eb152d48869b6f4, 0x8b909bced54d8146,
0x78ebf06af63d9125, 0x524c42d3eb35b54e, 0xebf444e2ca6a6b19, 0x87e43654876dcb23,
0x4a4f4f3194b47b68, 0x6f9b264d728e743c, 0x969a1e63691801ca, 0x29d9144449d04464,
0x82d6f5c2c7e12651, 0xc3fe192d52781bf8, 0x48312b06917ed27b, 0xc9c056ba2ba0592f,
0xf70ed7a55864fa1e, 0xc8b1354c79ce3df9, 0x37a7694d595135ef, 0xf8e2c49c0c77a6e0,
0x7d4710ef6a6745ea, 0xae7854899c31df41, 0xf36a5a835573ea3f, 0x6b3441d18d143020,
0x07209cae3b5aaee3, 0x33dcb09702b5785f, 0xc724e6f1d66e8e22, 0xc1f46ac4c8852f06,
0x52439ccbb96d293a, 0xf787ce97919f42c6, 0x6a7e974b5bf8d41a, 0xb11f2a3053d6e41d,
0x1655c18045b717c3, 0x0410d2dbc4db0e85, 0x10bd39d4404d90d4, 0xc55296723f907f91,
0x7d6213a90727f867, 0xe6922d1bb7f406b9, 0x8646b1861158623c, 0x61798eab120547ca,
0x2a0f0c9f26eb00a7, 0x9849da6425d2f644, 0x19a6e9bbf397a3fd, 0x0149a75d9da0d4da,
0xa1788b609420f4a0, 0x8c46e8ac02eb7d0d, 0x16de65945fc50bf1, 0xb69f6bb14048b6ef,
0x5ca7a0919d7ec266, 0xbeeb05019bd875ec, 0xadf6b65913e9c7fc, 0xd2ce2f1b5db204f4,
0xe238406912bf2c3d, 0x9fcd9c4b91e5ecc5, 0x12129796fdd574e6, 0x9b78dad975ca7e13,
0xa7be6610805eddc7, 0x2ea7f691c6c88d4f, 0x5a66b183391cc748, 0xb3e65537c324b8bf,
0x974693c4d4f1dbac, 0xda9d4385532b06dd, 0x0c0c2e7c0da7f019, 0x71ddbf5d8e4c35e2,
0xc87351a8ece53efc, 0xb66f26091bc8c7af, 0x1e1c17478802dd62, 0x0c5141a9244a0843,
0x0d85c8e0b7e01815, 0x4c776ac5f801258c, 0xa9d9df96ada36a7f, 0x1439c03a067aa679,
0x289e9102a30520f1, 0xb1afc31844b842ae, 0xd39425d4ed153d69, 0x82bdb8eba98081a3,
0x62fb70d2dca1a9a0, 0x61d55787b4ce0069, 0x92fa2b089567232d, 0x493c675753a03fe2,
0x52426e2801f74190, 0x6f824e851f8fed37, 0x9372c372c69cb2e4, 0x60f70c9ec3c852e6,
0x9ee3cacf8d5b4c2b, 0xcecefbe7c00f8eea, 0x68e7774eeb1b36c5, 0x90540710ae8428ea,
0xcc7a9f46f495c7d0, 0xd4289c5192d5e7ff, 0x86b7372849c2b18a, 0x64e9c06e3cc7b6b6,
0x0b21182f4b218168, 0x9596bbac9d929fdb, 0x1d7a7cf3270e3ccb, 0xf24d27f6854fd9ba,
0x23fb17683c743421, 0xdeaae8226f9512f0, 0x458d7a5d250cdab0, 0x9858e8a64170c589,
0x6b3a1e28b47ffb05, 0x15a8c2ced16360eb, 0xb2757d4efde9bbf7, 0x27ca3f1cafeff321,
0x3e4f3587732add52, 0x4fdf006f481b3f57, 0xee616b126d3fc494, 0x1eb155e313b028c9,
0x645b4679b2ec1585, 0xb195f3c3d5457354, 0x3ce0d2f914f694fd, 0x3d94b056aad122fa,
0x056d61e3b8d18d7c, 0xbf8d5b91bc123da5, 0xa49848baf6d7212f, 0xcbfac25657dc0cab,
0x8533c05378ab7f3a, 0xb4bc46d2a55019a9, 0x8960c9c57886f6c6, 0x43202db8103d3050,
0xb317fd83e76c5bc1, 0x97825381c692d394, 0xa1a167c3f7f04b5d, 0x19be84a49a463879,
0x484f5fb5d2794fc8, 0x47fd97a3883a5849, 0x1b1d2533e25e8997, 0xd3e98fc3cc7067c3,
0x23fca5fbf1e4c938, 0x0430d318d8a400f3, 0x99eb9798dea8a36e, 0x879b9ae16531aedf,
0xd566f23dc0cb27c8, 0x5afadce88d6eca8a, 0xe76247299a02984a, 0x264ea2f4eb4191f3,
0x0f3f589d11d2a760, 0x89d11822c16c1591, 0x0fab106f59daeece, 0x1a706f952bd35207,
0x1c06cb35f05ba264, 0x18ec9cf6a0a14818, 0x7bfe55dfb9b9d3a6, 0x12fa1fa930f80864,
0x86173b648134a51d, 0x541c9cddacde91fd, 0x8853409833784363, 0xed412d19bedf9f1a,
0xf2543ef9f980e929, 0x7cd02bed8cdfa416, 0xd5d19b79ff350acd, 0xfb51cf3d38c506b3,
0x63f071f34359c75a, 0xf0c9601537283015, 0x82bbfa98eb5258c6, 0x1cd6a004580c3e08,
0x0a404f149012240a, 0x390e4a043a5cefd7, 0x9672a29dad946085, 0x6364d767bb0d2a49,
0xf74fb9a4a8df90a0, 0xcf9d8c3c25e1b6e2, 0xb82869928052b70b, 0xa406d152892662b3,
0x5fcb892ed4199179, 0x509e7133f78d741e, 0x0ec7270858f825f1, 0xfe048744df2c06f3,
0x057bbf6f0dd184d0, 0x8bd04bc333ac97d8, 0xbc5dfc613b2cbe0d, 0x3d2d9eb53bc78cb0,
0x73ff26c278a51d2c, 0x07fcdbc6f763ae39, 0x189fe5193d589c6c, 0x11a4df75972c470d,
0x0a4036f2de416123, 0xdc263dd70926f870, 0x448b3ba744c0cfe1, 0xeb49071980023db7,
0x95737fdeb0f420cd, 0x750aab47237f3026, 0x8aca80174399a1fc, 0x19d730a05c33d3b6,
0xac431d0064c8ff3d, 0x5b0653acc6050788, 0xeaa9af6f454e5383, 0xdd6a1f2a2beb13e3,
0xa2e37e6153485663, 0x3de114e49a1a2ffd, 0xe0c574c22f05de5e, 0x697069d335fd6e07,
0x772ce2f43ce3f89f, 0xfd3d6b2ecb2441ef, 0x7699aeb825fe54b3, 0x9aefd297c53b8015,
0x2f3c312bc7f4b412, 0x23dbadef44f81a30, 0x47c4f4177ec4699f, 0x8bd58c7c36d6ed10,
0x8969a84245ca0721, 0xe23ffa03e26d3719, 0x3c1c525bec5ee938, 0xac75267b3a3cee74,
0xa19504bbd4bc31f3, 0x6d4247c373eaff78, 0xdc7aa971520357bb, 0x56898824cd5c9ed0,
0x6cf6d0911e33f7cd, 0x3cf22d1c6f6dd933, 0x8f0ecd76e4964f3d, 0xceb558a39331a32f,
0x80d3c2c59d7c714d, 0x848e1cc82bf69421, 0x2ac66fab51a0c235, 0x00f2ee7a73efceb3,
0x4ddda78cb8b9eb8d, 0xf8993ab13ac4c555, 0xbdbba817fc0c67b6, 0x10682d84dd401197,
0x00591d27b16e82c8, 0xa2abd332545aff96, 0x4662e16afc17966d, 0x967f2fcc88a8780e,
0xfb94e72f94e37584, 0x4999cae7c1bfd0cf, 0x9b0529980c4f60c9, 0xf379adad23875b83,
0xf4f93a1a90254c8b, 0x64dde87b0c86e213, 0x995c109a35e78d47, 0x5832984c3b2d05fa,
0xf34776ccdf3f5758, 0x4f47895d3b9f4bac, 0x4992f5c3b3feeecd, 0x6c9e9a529a17f0e1,
0xaa3c6bb83427261a, 0x412d42eec1c2eaaf, 0xe982b25a3c9ff0d9, 0x39e2cda6088c4499,
0xd8d92b0e4ecada0d, 0xc721f579e91d5c63, 0x009ecec67e0eb399, 0xf10cf96d915fc0ad,
0x597b338cb7b3e5d6, 0x8d6f40582957a2df, 0xb5e7029d7f6be5c2, 0x0e959da6aba2b9ba,
0xe16975d343bccfc4, 0x5548f52383ccd02e, 0x6d7b1f7de3b3abbd, 0x0d9bbd9144915048,
0xd803f904d44761c2, 0x3c8b1c6b2fae3cd7, 0x97d6caed61bdc77c, 0xb116f85b8bd8290e,
0xe6248aa330187251, 0x36d64a9771824fb9, 0x6bd5c57cd10d6a19, 0xf5c97ba000d171cc,
0xcaf422ccd00cd215, 0x90a6d701a5b16449, 0xaa8ec0290e4e16c0, 0xd0c8eb8429c5ff27,
0xa8a52ce48ab19f75, 0x9a51bf7cd09c4b4c, 0x269f3b2a1d7606d2, 0xc8f1ff20e931594b,
0xe8ea90c4596aed98, 0x098eb7f5d52def56, 0x9770178ff0976786, 0xc3d9af42a5a27bf3,
0xfe8d29c1d884c898, 0xc9b8e9f067976cf7, 0x4c11492a10797016, 0x98d031ca66acccce,
0xdb91da8176b3e331, 0x93d2dac7abb6a778, 0xbaae4d13a6d671dd, 0x9f5dc711451c1957,
0xfeb01dde69dc884e, 0xb99321b6d9fca684, 0x0713e6be6d0bb2f6, 0xbbf396226ebe9c60,
0xb20dd8a252bdd2ff, 0x120c7f806c9f1cf0, 0x85ffb423bb2b5ded, 0x3986b5aa974cd543,
0xc8e99a9b2da0a0d0, 0xdf76afc5068ea879, 0xd8bc5a9f2589cd5b, 0x4424e7d368da66ad,
0x53f8f345f87d82ff, 0xbcb767220c91bb87, 0x2d4d872cea95d9ae, 0x7e6a40cdf5d087bb,
0x8db504dbe6e58280, 0x56195a98ac172805, 0xe48e2eb2f8048658, 0x6921958bc72ecc22,
0x35c084366dc3fce2, 0x8bba65485bd94c33, 0xa39c0b1df7c7024e, 0x53c8ec87e8899e7a,
0xabc78d1ec32222bb, 0x6b114e0aec857542, 0x72d3b5a7851a7993, 0xa01dc576208f2cfb,
0x476915c473db3dab, 0x4dfb5548e9249f39, 0xcd9ee84a47d184b2, 0x17cabe30a776eae5,
0x4befaaf414c9551c, 0x031ab4022e44db4c, 0x916e5ec186f0857e, 0x9dfc2372dcd1171c,
0x40eda17991376373, 0xf34691c16ffd6559, 0x66b629e024ea5db6, 0x280e7be4b8f62bcc,
0xb5d9884b48c02127, 0x2de021745f40fe79, 0xb45901c7840ebb9c, 0xb53280372d6bc2c2,
0xcfc53a1266ec7244, 0x39cc7b12a9ddf8e7, 0x58649ed4be9ea050, 0x12d7ab4a8198cf44,
0x6973f7c5c6ef64e0, 0x1368f3da6bdc472c, 0x654e95ca90f05dba, 0x8f979d8ae22841b0,
0xc56ab715731272b4, 0x9adc5ead710dfafe, 0x682e8399214c88e3, 0xb325d13468c69042,
0x758d9f23566f9bb5, 0x2d0993bb4f5d1994, 0x7df3fe051d6edf30, 0x9ff4ad6e06ab4553,
0x7dfe899f561d29bd, 0xc1054498e1e5e6c4, 0xfc71ab80774d7d82, 0xe579bb4912dc0ced,
0xdb2fb117ff86a65a, 0x1617621c014e3f26, 0x4a69e84d9fda8e66, 0x493055694f623c5d,
0xd84607bb04066cc3, 0x22dffad0636cdd37, 0x12ca7f1200ce7ba9, 0xde56cc168b7f3d75,
0x9a6dc5d68643e0a7, 0x1c443203d186ab2b, 0xaaef9ca1515cf8b2, 0xf1c6bf0d044a7d32,
0xe04a3aaf4bc12934, 0xd1004d056a4ff84e, 0xf252eb32ab81f2c9, 0x601fcd963d062a73,
0x6d9d8cb8746f6f92, 0x04aa49471adccc4d, 0x2848099ec7cbcb9c, 0x8b16eff76553b211,
0x52b9dd61d1c38466, 0x26c0b08f1d0227ae, 0xee7abfdae21da540, 0xe0f3192cb020bace,
0x0743f8c95d38d277, 0xfb802bcefcafecd6, 0x0a2a0ca5ff49099c, 0xe40a08f3e0bcc317,
0x98bd7602dea8cfde, 0x181d54e11bca6b75, 0xc5a39b67104a3af5, 0x90982592e10be0d0,
0xbe06bd7e72a8666d, 0x8778679344febf08, 0x42c137760a75cddb, 0x04b7850ea632f095,
0x0d3c7772abeab924, 0xfa06cc90492c35cc, 0xd899b5aa1b634544, 0x7c84e27e9442217a,
0xba3322a38eb86971, 0xe322aada108f745c, 0x21617e1c051aafd7, 0xd7adb59d40b532cb,
0x6643601da79f8c3a, 0x7f78fe8fb3e1b110, 0x88f8d6c76139cba4, 0x051c706c0e5d6695,
0xeeacc64c5be615b7, 0x5c27cbb0b2e60b9e, 0xb210e47c3c0dc4b5, 0xe68c49831ecb525a,
0x3777d04d80c788cb, 0xd3c67d5a07e6590e, 0xc0b6161863747a84, 0x53002902fcdb927a,
0x7081ff57df0267ba, 0x043a177490275cf2, 0x6621eb121f577d49, 0x844435827a9852da,
0xd6e869b6c620ad63, 0x6220aa25fc0e4973, 0xccfa27c9bbcdbfb7, 0x73421b013ce76fed,
0x9f8485080428c4f2, 0x59e90f79faf6329a, 0x9f61511c9a83cb76, 0x7fbec6bf0816863c,
0xa0db5359ac781e07, 0xdb4a943960cbac1f, 0xb5a7f15ab81c436d, 0x9e415d395dc7ca18,
0x9679b91768db92c4, 0x6a9e64071a0607fe, 0x880a6f8c7d41f8a9, 0x07f137c2d62a5e26,
0xc9fdbec73b54ccd5, 0x8b430f607e612d2c, 0xc03744a51c5db831, 0xe7151522840e42c0,
0x854520897e2ff7ba, 0x5890a1f9a6ee3587, 0x53ede4885dacaa0a, 0xdffac7398a97e25d,
0x1d99a0592f5bbf4a, 0x5198be0f80d2f512, 0x372feadb269aa79d, 0xec7a9e2824e09dc0,
0x8f5d8b96588babe6, 0x7803c8bbc39dfba1, 0xf7c3c4ebcdbcf077, 0x7c0ff8a9eecdb3db,
0x71fdec2b6d34cfd9, 0x166557a3116e44f3, 0x86865eac4971d4d7, 0x961abf7ebaab6822,
0xb0ddefab749077bf, 0x7a15c1ea0398b9fa, 0xb82bfc6c2af133f8, 0x4ed11d58475c6d7f,
0x6e9289a1ff83882a, 0x7162a7f2596d356d, 0xcb486a7a2282825e, 0xacf7bab1d0287509,
0x03ddf0070ae707fa, 0xd00fe1074d175bf4, 0xe0cd02b04cf93ed8, 0x90db138c945c4dff,
0x6201bb5c6201360b, 0xb508e18ad9436c32, 0xfafe06826d9cb12b, 0xc49569fc9d56e3cc,
0x17f9ecc8c72e58b1, 0x5feb264a1f383741, 0xf93a263639383df9, 0xf5c8ff2e0e2ed807,
0x9472359bb886b557, 0x8b3412066cada5a3, 0xb1f60b0025c9d86d, 0x20434439b032ce3a,
0x933ce92422b299eb, 0x8816d115d26d6d06, 0xed6346e72cf204b8, 0xe23645eed0f84037,
0xfd86bcf14cf45748, 0xc7bc1b953bd6a71c, 0xe8e83b5564926fa5, 0x46d0ef1ff564cc43,
0xf293ecc10bbc960b, 0x729432a8bf180dd6, 0xe642b77ef52a449b, 0xd8baab4b085585f5,
0xc2019a4920d65413, 0x4da3d59c9cc5fc63, 0x0ae4a1ee66ee11dc, 0x6cd20702647fbbb0,
0x046252e9c1be9cd3, 0x2a9cb692cbff87f1, 0x5d13edcf919a738e, 0xf91a1b3d7a0852ea,
0x889e3e4b357766df, 0xeeaa64780a091dd8, 0x54bbb5355a145d9d, 0x57f4e2a6a317a96d,
0x64b9eb764b0a1b32, 0x6da0e1a1d752e0fe, 0x60d2e309c53d7260, 0xffd3541e0adaf6f2,
0x9c93d8349db1b40f, 0x335ac00b1b54c676, 0x616516766c88f062, 0x1438b7b48dba49c4,
0x55b7a6ba3c79ea56, 0xc77317577b714e92, 0x9acaac22095ad972, 0xfddf82596867b42e,
0x4357316745aa8210, 0xff488b052b8c60ad, 0xfaeb36520895e718, 0xa20197062f5c96be,
0x273b0dd1fe669f32, 0x2071b5962216f425, 0xa0e463b79e0092b3, 0x5427ecc31c7d200a,
0xab827c7ae99bee39, 0xaf8cb5a8a26b47ed, 0x91c143284d1908ad, 0xfdfa3f02fad2c27b,
0x5a46304cab5dd072, 0xf82bb55be1c7b864, 0x0f5438c56693f19f, 0xa6ff08eaf673b6cc,
0x617eff54dcbce725, 0x356e97654a23f704, 0x6987e45a16bb9151, 0x4861abce800476fa,
0xa04c84c016629e4f, 0x10eb51e9fc46163a, 0x64c3094bd29aa86c, 0x8f313d126d2f212f,
0x46d64bdf5dcdbf30, 0x9651428cf144f140, 0x080b77612c44dca8, 0xa279e848969d8e9a,
0x06872e7172b063f7, 0xaba536032bba613a, 0x64f141e4f3477687, 0xc2150ba6b4c4aacd,
0x2392684d54242668, 0xff055b89220da899, 0x1f633c3a15da8c68, 0x2152a91d528107ca,
0x4d93fcb17b2a98dd, 0x75076bd1012faf75, 0x63d2bffef401c11f, 0x34208a163b5a0316,
0x5c95f2acc210dd4e, 0x7d5844d81bbf67c7, 0xdb2f118269251a00, 0xd36d4b28c933c960,
0x26e41181c299cf98, 0x2b8e4dc69845a927, 0x0d1e68f53150dee3, 0x11838d8af186083d,
0xb55a022c7b69f09f, 0xc5f3f8cefc1d5484, 0x5ec8156234b9dd9b, 0x0ed9e2df39cc097f,
0x5459fc2dc0f701cf, 0xb80a271ed121264a, 0xfbe6cfdd215b6902, 0x8f0c44793089029b,
0x6ea2105c64393c65, 0xa5607481ab348d4a, 0x0dc2e04c759a0585, 0xfa94243536deff9c,
0xc22645d7b8e933aa, 0xad3659d222d45736, 0x15d9fcafe1f45845, 0x2a34069cd26480d8,
0x1cc0759070b715d2, 0x5dc180f075a2f59b, 0xad6ab98985ac3539, 0xffa3d82cc30ef61f,
0x15bee23e4eba9854, 0x910824491b076a96, 0xee17851290203708, 0xc7d913720711adfb,
0xab93619bb50c9f32, 0x52e0e73bebbe126f, 0xebe0a4ad83137864, 0xc052cec7354ebdff,
0x9edd2e0d9158bdea, 0x545e232c848b7d72, 0x544e402c077d5fbb, 0xfb540f7080e8b6f1,
0xb84ecd3108d17aa7, 0x5075c34d601f458b, 0x4963cce92e716406, 0x152b438adbe1dd1e,
0xc1f8163163176e26, 0x628ff06ec0a95b45, 0x4560a386d04c832c, 0x55440de4a8d1c17d,
0xdaccf26635073d96, 0x5f1cf8cfc9196f97, 0x032d6f13d2767961, 0x168595dfd3132374,
0xe651cccbe16c2ce4, 0xffe6877a39407587, 0xc9e3cb8cf4914b23, 0xa5381c415a766ced,
0x791a9520fc3b5cfb, 0x71c32bef5f0dd413, 0x05bc8c89f185dc7a, 0xd13576b14e2d3d92,
0x3b91ebc306475991, 0x701af90c7966b979, 0xb5e84b1f436ce0a5, 0xfcfd998822fb82f8,
0x2c9170dc1c13a137, 0x319f467aa45e6def, 0xf36d78022c680f40, 0x9044dbd3a295e05a,
0x3a9ab2fd56716fc9, 0xc729c5ee1fc78cf8, 0x35c177fd1ab170dc, 0xb6b8c312ce538ae2,
0x35a66ff7542daf8b, 0x5f6a3d2435261aec, 0xede8cd7d28717aa8, 0xab356889f1266bb1,
0xd095b01716ca519a, 0xbc5073a677e4a853, 0xd6ba234972a3bf68, 0xd74e77aebdf622d4,
0x50cfc14a66b19e09, 0x63082fe99cda4876, 0x09b4fd89b22dc52c, 0x842ea1e2b46e84f1,
0xf776a8ae38ea15ff, 0xb458969036357958, 0xbeb3f08f3ad39c18, 0x7e441baa45687f4e,
0xef8e9561b141df79, 0x51f1ea482103fd9d, 0x1701f914c5645ecd, 0xe5030e3d24f4af36,
0xb898115b10d9f42e, 0xfba3c47b005eb12d, 0xc3407a4d45199512, 0x755a4efbbe95b8d4,
0xc80df759e4761f21, 0x47e5e61d774ffd2c, 0x053729f38ae7577e, 0xba7b9e33de0c4566,
0x7c144707dbcb0e0a, 0x1aaa46ac7a8bdfa9, 0x2589fc07a0b64c39, 0x3d7fdccbe4f8fe3b,
0x33b4bd8c1a018515, 0x61dc8da5d8b7e66e, 0xd898bfb6afcca781, 0x3450d7c98026bdf0,
0x3b0384f7a81fd0c5, 0x0a20296e97484b95, 0x39598dfd67b0472c, 0x49b0131fb54f24dc,
0x1b66f7839669f7f5, 0xa2bd09cfb243c376, 0xf36207b52ec4824c, 0xb7578827c8750ecb,
0xe917bd040e7c7fa5, 0x08baf34706d3ad7e, 0x913f9e916e7bba86, 0x0e4b353c2ee53376,
0xb08972c457f18ebf, 0x8551ad7aeb0a2edc, 0x419d5ad82efb4b7a, 0x36c93ca62dd02fd5,
0xc86798799972f164, 0x6db8e39b5a108654, 0x8be5f492da6eb5a1, 0x71e842d23f36bc55,
0x04e94eb2d0810779, 0x7d6676554aecf981, 0x7cb74ff7bc010216, 0x6b6b218fdcff77b0,
0x39aa991c6ae9e163, 0xbd153e0aed086903, 0x7d9b898051e358bc, 0x05b30f5d8480ce63,
0xc8428dd45a80a1ff, 0xd27ed65f608c009a, 0x63a1c865c3118bae, 0x20f7acab9dc8eadb,
0xc88fa87d29a249f6, 0xd4e591537708c2e5, 0x519c071da0cdffa3, 0x93b78a4ac9b7563e,
0x6428b449c9070251, 0x28ffbbdd1d9db43e, 0x50947d97ba4320ec, 0x0f184d0c306858a7,
0xff94f8f35a1586dd, 0x34acc6e206aa4860, 0x39dc1cc1fcf417f5, 0x085af7e502ff1fbc,
0xddb8c54f41f2045a, 0xe343345e3ce33b8b, 0x996a5c697f68deff, 0x01ddc3bbb092db10,
0x140f7cc7b0b1714f, 0xbd14c3d073b704af, 0x7925f4a7086558c0, 0xc48aa8865f5e8d4b,
0xbffd568d8624a33a, 0x4cff6a435f92fdf6, 0x95fa56aed1001a8d, 0xa3c97016170f16f8,
0xf3c81155a160c5aa, 0x3334d22ba61c4477, 0xfb9888ceece64eb6, 0x198b0bf4da3de4cb,
0x6251d076d3129716, 0xc03c84b2562561e7, 0x7b375fca53825da9, 0x52a8cc16cb8d01e7,
0x1b364eae2fed1e0c, 0x834ec87832127220, 0x95afbba2a2caa926, 0xd0fc8c6b810402b4,
0xa43035a643602510, 0x354dbfaa190f71fa, 0x9afe1b556308f12a, 0x46c29ea2883895d9,
0x4b6e1d42eb836307, 0x303476b422b798a4, 0x9cb51d2eb38c579e, 0xac8582b7550ba59d,
0x63d5df574c1365a4, 0x1e446e8c4f7e3801, 0xc18f94bddee2092f, 0x5e4076292f693a41,
0x9d9d6cc24f3a9866, 0x41cc84ce86b60707, 0x404b88d16f175222, 0x8251afb8cbaabedf,
0x6f7e27755bcd1180, 0xf67a8f7770a4a6b8, 0xc291ca0add72fd6c, 0x6cb285de74b4768d,
0x1274f094551a799c, 0x3f13dada535aa835, 0xc6d5ab45ff84909b, 0x31500a87211c204b,
0xf970a3b85851f629, 0xa3636cb1d6ace4c4, 0x0fa72345021d3e75, 0x771ae73703475498,
0x2ae644c30d7ab882, 0xee528ba92347c105, 0x9aad23d1b663d8e9, 0x761bc50ccd50440a,
0x05b528d0b47d19db, 0x59fb7fd9c792bea0, 0xe9cee2d0a3d5dbb1, 0x586f0e6cc71b96fd,
0x5b52baa2a3188661, 0xfb8b6ab325556dbd, 0xa9adfe73dc0962c0, 0x905a21f9c782597c,
0x5b50d3779ae80640, 0xe650b77731009357, 0x49ecfd55f47d87a7, 0xb66f166bc3d78c80,
0xc0afc3578fc32b11, 0xa6cd8cb23583229f, 0x44458c8444535edb, 0xb5d6c94570f072fa,
0xbbc3ab9160974def, 0x33208248430d8494, 0xb057ee9b4e660300, 0x697cd4c0cecc5d94,
0xa0416cf1c4ffae0b, 0x46f8f803edaf63da, 0x3f813712c9134718, 0x8515f28c818ac523,
0xcaa251396a117942, 0x4920bbb45f67bf8f, 0x61b7b684ffd1395c, 0xe3a5d90a026194d4,
0xe891c7cc404ee80f, 0x0901cf0718e84e38, 0xef1ada01d9d06815, 0x0693e25e4a2aadfd,
0x65633e0d7500d474, 0x3d9e595326784697, 0x2327758056be78b3, 0x2b328d8432540701,
0x009c721ea7a97bab, 0x6a48dd96b7f63b32, 0x5e6c429198ad01e6, 0x61e6a996433d3d25,
0x06d1b4ff459b87a6, 0x4a17b114519a1632, 0x5922f46e5d5315ab, 0x7919fd3ef80ebe22,
0xfd3248f90c99c984, 0xca0f31142c83b4ca, 0x72fdece85aad2221, 0xc3d5655b64bd54eb,
0x65c4897d74d599cf, 0xd8c86c2a6a9624bc, 0x885010b9644f4408, 0x5c3840e7dec1ca07,
0x3174d6db559e38a8, 0xb0256c555b40f8e5, 0xd2c7eac96947ecb3, 0x78ee146d5b56b282,
0x3bba5babd2723a8d, 0x81a8e7e398388781, 0x2996535034cd151a, 0x961b3f3f5412ae8f,
0xa3814d33381ef16a, 0xedaad662b82ac4dc, 0x6b925224c0f0a61a, 0x0a2b706cccb663ee,
0xf06bdd4f0b052caa, 0x4bf353d2a6350a97, 0x02bcd33a866d9899, 0x20ae090e4b7d3173,
0xff5155189b326025, 0xbc3229d5903e4657, 0xcc37ce7209d5db85, 0x73e88df224c36785,
0x5bd0a0e01864dd25, 0xf607dc98b37442fd, 0x1dff97fae8e4404f, 0x81c70b6d9db0b322,
0x00d9134c6ffc8b9e, 0xe4eb944fce9b875f, 0x32808a4657fad9dc, 0x5f71996376c959a8,
0x7b17693ff3b5e780, 0x51ba2211a419c020, 0xdbb909fa40439dbd, 0xf8c9f446f75f0e8b,
0xdb803df36516465b, 0x5d5ac9bf102f979b, 0xa02325776de37ab0, 0xb4f5520942fd5f42,
0x2bb61b22a24f0e4b, 0x341f45f2d3122dc4, 0xb30ea44e6438755a, 0x49388a4980678ced,
0xc33958744fec3a60, 0xd4660b8ad08ce771, 0x1972c91dd3567f34, 0x63492ce44a13a450,
0x09742cacc3ef32ed, 0x84b2287dbdde1666, 0xae7a3711b52d0f42, 0x2920bcf98359441e,
0x186018f6eab2a8d1, 0xd2915d2f8abe974b, 0xfb46a65bd08271a4, 0xc677bc1151b29dcb,
0x40e3e362912bdcbf, 0xa45fdcfba95d613c, 0x4270d1bb365ee95f, 0xc16bfb0a66b65514,
0x6af3694273aa7276, 0x8d984ee80d7b769f, 0xb2635235c694a035, 0x51671d63cd2459c4,
0xe6c1504bd405de58, 0x74921f519222c49d, 0x5cb88d62fa7e1ab0, 0xbb8083e455f2f4e7,
0x45151d668e9b8501, 0x320b255c9b61a105, 0xdd559ca7ea0ad55b, 0x34eef4162777c072,
0x2d96a767e5be3cb4, 0x93f0a8c18d68735a, 0x92f13af222db468f, 0x5ac52e54eb60e548,
0x33c4ac2bc2e1552a, 0xb4be3572c7c113fb, 0xc10ccaf1b077745b, 0x4207bf19fdd10eb2,
0x3ae711936662ad6f, 0xa6944e9d12e195e2, 0x02bc1105c987a053, 0x391d5b42cac78e27,
0xb6bde226a8ab169f, 0xa7e57c5541a9e6de, 0x793f979da9826a40, 0x0c2732011360f20c,
0xc34415631eb5d360, 0x8bc5ee0230b3288f, 0xed90c0881de5b236, 0xad3c72d76342c3d8,
0x06de1864cf1baf3c, 0x9836aa45861b183b, 0xb6a90970dd65e50e, 0xc03e55bf57fe6913,
0x6d3ea5cf74e5cb89, 0x7b78163c5d4fc463, 0xe148ab8dd5d52eb6, 0x313edfe77dc71927,
0x8030de85fa41a4b9, 0x8d1295d4b2dc2515, 0xebafe202d41c143c, 0x4a364c36aba048b9,
0xc772de2572eb8f1b, 0x7ba918c139683c0f, 0x6c8d04fb8a3e9a9b, 0x6a787cf9258b749b,
0x4d5c74e35bf634f3, 0x64800cf884364dc6, 0xe560f2118c9bb646, 0xcfa0c2a0a116173e,
0xc5ec3923387c4994, 0x2d1facc538efdeb7, 0xdaff44f59d3f530e, 0x6193c962d40d8caf,
0x3e63dfb476920052, 0xdfb354de97719a8d, 0xa1757d4f20ab1640, 0x902c9c6e6cc6a8af,
0xac5c8bb08614421e, 0xc66285953ec95022, 0x025235d3b7417059, 0x623223b9a631c70f,
0x7d4b2a3d19398efc, 0x3812298ecfe14eb2, 0xa0066ca00926e97a, 0x6284ade8cbe633ce,
0x8d60a91d5aa91cfa, 0xf77973124dc532ca, 0xec228dad9d5eda7b, 0x4df3d692b95f83e3,
0x63e72f390c8510e4, 0xdb1723f12927cbb1, 0x032b6431c12c6900, 0x2f34af1ba9624820,
0x08afec13156c0341, 0x7e8918de80649a08, 0x40cb8e710f454b0b, 0x2adc124d60644bda,
0xf72135f1b6b1cc9e, 0x9f4078a17f43d432, 0xa6279e85b370326d, 0xbb9e3004e6b5167f,
0x87605a6772b0da4f, 0xa2616ce75bfca97e, 0xc5ec058e89b86b36, 0x3a92300cd299b629,
0x0b5206628344b14e, 0x7f91a60d27308938, 0x3daecec1d891f9c4, 0x9f49c05d5f64dad6,
0x93337e5f1caac6d1, 0x0bb40238c1bccf4f, 0xd8ab7f53c16ae336, 0x3357a0b9da9a85bc,
0xcdd3846346650e16, 0x32d115ac58b8ed9f, 0xbe20f197313148e3, 0x382a6fe68b3a3b1f,
0x1249de8024bd607e, 0x41f2c50284b8fbbe, 0xa105a4f494e4b4b9, 0xad8b0c8d9128c599,
0x96c68c77d4bc0093, 0x09ca4ec166d6ae62, 0x6b6d1e18b3181c00, 0x8ad1b7b621a2fcf0,
0xf8412f3bd851d24d, 0x8c9c2d1104b28f0f, 0x44adc8070a94be46, 0x05a5bebea59839b5,
0x322b7deaddba32e1, 0x173ae323b060515a, 0x297a5c234e021eef, 0xacbc3611d47c6466,
0xab59caa33317d2d0, 0xd0c2f627f89a6090, 0x026b2a1492531a33, 0xbc56e3c8b41dd004,
0x6344b023b9d66c08, 0x9d7753b5f234b5f5, 0xfccb753d9cbdcf4a, 0x0f627ff682e41bab,
0xe4e6392450ee4536, 0x974c5123f2a03706, 0x8bfa5bc8a7336c4c, 0xe341903389f8e756,
0x5dbfcfda5572a102, 0x0996213240cc196b, 0x7872c8c268bf6508, 0xf7da9d899b88181b,
0xa3a1e4c0ea4820e7, 0xccf0b52517cd994d, 0x5dc305d4a0d0cfbe, 0xfcbbd98b147fa46e,
0xc59f8b29dfcc068a, 0x34115b975758f270, 0x2446e43acd2296ae, 0x11d106625b13164a,
0xde7ab19f5e0839e6, 0xc5780f4579d1b9d2, 0xaaad0e63634b0673, 0x039df84f68de43d8,
0xf1d66f944a893afe, 0xafa2109dceee753f, 0xa5a67af7fcd4a2c2, 0xca31ae7449ff36d7,
0x78c1d76084463259, 0xde7c8a29cc9f3a04, 0x30ed6b9d28af4fb9, 0x62df82db1faeae1a,
0xdf9a60f1fab60989, 0x2da3f791892b6536, 0x80bb450d424891aa, 0xcde3c3efa07a9f7b,
0x9d6fff64d49c069d, 0xdef5ba81e77897bb, 0xe21d24ab76f82b90, 0x1c36f4860adc0293,
0x2ad5cfe6704282e9, 0x692f873e1e9fb3a6, 0x732c363af56a06fe, 0x39ed3fcdaf01daa3,
0xe041b35e855212ab, 0xdc746d5ea6bede79, 0x91e64c3cac9b1f7c, 0x2db0d4e3b83b4e27,
0xae9a2420e43e2b1a, 0xa42e488d354bd011, 0xb8ef32e364709eb4, 0xa702983b2a70282b,
0xe10f821759269aa9, 0x35d8496186e9cb93, 0x92426b4c47bbe851, 0x9bb27db1d18c72ba,
0x08a1b1e4b234817a, 0x3ca40f8687493c15, 0x0bcb23b2d2bec7ed, 0xc36f9b81133bf276,
0x3761ed796dbff31b, 0x06e093b27b16f0c1, 0x33d2dd92a0b68045, 0xeb589a61a6a086ef,
0xe728eb240b3dfb98, 0x6fe904ddb72b5fa5, 0x1996290dc158a0e5, 0x3964f7ffaa3f3350,
0xed7af5a73bf87da5, 0x2470421be6f82151, 0xbd004640e9a83e15, 0xf739e86e89920583,
0x92e8d07e0375f3bf, 0xd2245da82ecca8d5, 0x74305486804c08af, 0xa8cddfad39aba17b,
0x6c0d47448174734c, 0x379db8d5c4b25552, 0x45baa48f033ab5b3, 0x769584cf1644d5f2,
0x8e4ac24e353acd60, 0x686e520926a1fe88, 0x59215612d838e715, 0x7ed026a62e6a0add,
0x1fdcac8bc892b921, 0x9c27ab3f47981e3c, 0x1b90df6def4b8ff2, 0x063fd55105716d4a,
0x9441164376b35ae1, 0x8bf705f9d70f7370, 0x1085dd0b3fd1d960, 0x308b35b29f535069,
0x6ba2fd7616f8bd52, 0x489a6cc785c6b4b1, 0x12b38374796763ad, 0xc806e42a0fceef0e,
0x42fd2f1739fd8540, 0x5a1db40c7f427894, 0x4057db8a1b992fa9, 0x1a01fdf24532de16,
0x01f82a12929604f8, 0xe6145432c0bd380e, 0xfd53df2a8ad84115, 0x793683b9ba2c3efc,
0xcf6e2b77fff5d528, 0xca8e7a2781af7203, 0x13f8b8c7cdde11ee, 0xd0eee90f372f6d34,
0xf9477e0d18efc3c4, 0x55348a428b9f753a, 0x79ba454ba030db31, 0x3898a7ca933c5663,
0xeec85533074803b9, 0x511dc788bda99e63, 0x01bd86f9b139362b, 0x07f55df507e3c79d,
0xf4261fc6102f7601, 0x42165109dcd8d54e, 0x78e6acf5abc62c58, 0xc770ce401d243630,
0x671321fb1f60a2a7, 0xb5191a1938a91ea6, 0x06c010a7c390ffa3, 0x6759d0f60d2a0c8e,
0x5d6c089fce483892, 0xdd4fc558ab2d7579, 0xdaf9a23b7792d777, 0xcbeb4e159450dcbf,
0x57d7fbc13f138747, 0x9b34072b9e346d57, 0x9ff3f24b2af02a25, 0xe371e95e3a3ce4bf,
0x054762efebd2967b, 0xd21043fba73cd7e5, 0x05406e9ed7d11663, 0xdfbd9d419f692af4,
0xc28d85f200b3f78f, 0x4a3e6a4efa8de514, 0x1e4928341d014968, 0x173082e207cc749e,
0x71143a655f24b6c1, 0x5a563894bcf3ef9c, 0xc0d77d9ac032cd9c, 0x61997f46188ad284,
0x737cebb678533d30, 0x384d8ac86e9b7627, 0xf312d6733d10ff12, 0x25d10e508a8afc64,
0x702df6253fbc6a73, 0x33415da46f2058bb, 0x358ae90ea23e2149, 0x905d301d360451a4,
0x5d2f490eabde671c, 0xa40911a3265e9330, 0xdf87f10ac0ca22fc, 0x379a032402ebbc89,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x21ac3df849be2a1f, 0x11006e9fc51d112f, 0x9151aa584775c857, 0x5159d218ba04a8d9,
0x98b7d1a925fd1866, 0x8f4753cafc2ad9d8, 0x8eb91ec1569c05a9, 0x4abbd1ae27e13f11,
0xf099e607dbea8b56, 0x45384e961066aade, 0xe812ce3a6e619c13, 0x4ddb9dbb5aef9ba2,
0x306430fa89d1e30a, 0x36c524282680bef0, 0x9ad0572140eac595, 0x81388541730ed3ca,
0x599284607e63a320, 0xb17054f5dc39f1db, 0xa0017494131fa68d, 0x8438f43b78f5607c,
0x95671dc71eb2d95a, 0x984865d97dc93cdf, 0x72f88b417b192b32, 0x5b912b480b982393,
0xfce040e21ca55c33, 0xab6f10b872047a34, 0x43f589a2592ab80a, 0x9264ac8f97590f12,
0xec44df1abadf2712, 0x6b80ff17d90f3dd9, 0x138d0c147946cc5c, 0xbdf858ef996cddc9,
0x3f2f7f3811a4468f, 0x0bfbd8a915460a49, 0xd2155b5e930a0c15, 0x16a8deb827a1b15c,
0x386a8078861228bb, 0xf969ccef8ae31064, 0xd4268ac23398213a, 0xf5ca6571b5ba306f,
0x5c4e46c6e4873662, 0x2d6e3a54a2e97a8e, 0x7871bf3fa82e4677, 0x6ccf55fd51d27779,
0x9101056d3018cf94, 0x0ecb1b58431ead27, 0x57240d7cad2abeac, 0xe311e77a16bfc4cf,
0x3881910ed7de30ed, 0xcf3c4a226111418a, 0x83d9eeed2cb367f2, 0xcfa71e64af69ecea,
0xd0287a51b44632a2, 0x85a4a266db33c8ab, 0x40216ed10dcaa137, 0x3a4eff89f90bd880,
0x79a279de0bea72dd, 0xa6428b200ea515f7, 0xdba42e51081cb40a, 0x5d9054b9d413c536,
0x388989d5cb47917a, 0x7c658a06055b1956, 0x8c6d5283990b8605, 0xd9a8060f12b6aeac,
0xb0f2872d38c0bfad, 0x8e6f680d01c817cc, 0x4eb0f3eb37f1f35b, 0x5eaba40975eaf6c5,
0x924cce1a72157b76, 0x43333f09ca6fbc3c, 0x8fd90c3acf4ea4bd, 0x51b5c74a6d522b6d,
0x3199666f7304b16d, 0x486801ffb471b6e4, 0x0309e4180b375750, 0x5818a3e192b6e8da,
0x23d0d3d6a6533245, 0x65a9785b77cc1dad, 0xd7d3da1059a9e09f, 0x7c0cb95463de4933,
0xfcc4bbeba9ef2e64, 0xacc9b3747bef80c8, 0x91181da581d35a64, 0x1e48a1c42fb5f0a1,
0x4228fc1ca178598d, 0x3a591a8e915da1a2, 0x344a3737275d25ab, 0x96689e13e0760278,
0x06c26ecc4c97412e, 0xbbb5728183665b4e, 0xdbb7708c08effea6, 0xd1114a66b4185674,
0xca4dfbc08b39b9f4, 0xf207bc96b40a9c13, 0xb184c8725f7f5b41, 0xbc6401524c7eb3f6,
0x682dcd9ce36cf20b, 0xceac96bd3ed88b12, 0x015469f41f8d602b, 0x98c7a7e74459d421,
0x37767be63030817d, 0xe4291d84f86ae3a5, 0xf2a4a22e323e55c2, 0x7c842d953bd38911,
0x2841414a33c27393, 0x72d07a561a685fc5, 0x494783d68e30ceae, 0xdc58d9589104349c,
0x296b5a7e240c1970, 0x1a93083f79534bf9, 0x766b9784fecda8ec, 0x1c512440b2bbac11,
0xdd4b2df21d13f31b, 0x6e18149022b22c44, 0xca6b7937b7493478, 0x30391aa6c1b7437e,
0x69b3e0cd8b3e0f68, 0x1ec280fc0eecf43d, 0x966f9bb34fcfe237, 0xd6bdd94aa249a0b3,
0x4092088842f3ac99, 0xe3ecc9acae294025, 0x5bee2a0bc7fa0105, 0xc3615fcd71c08a10,
0xd892e421a97d2bfe, 0xfadd8fb71f27510f, 0x67795f6db4b4355d, 0x402c9b3764f2feca,
0x95cc76beef54455f, 0x8d7a14304ae208eb, 0xce81941ca5abbbc8, 0xfe571f6d3a3e715c,
0x577353c3145840a3, 0x9277cb2f9c563b2f, 0x82e913fc88da4d23, 0x6c35b3688ddd30e2,
0xfdaaf702046e057b, 0x34a5aec17dbf58bd, 0xefa12a78c1577177, 0xe7fb8cbc58b75a90,
0x30de2f053f17c411, 0xcba1cf8cd568c856, 0xec2225771b9b9a66, 0xd1b0740a6e8c9962,
0xe968d62b39c33a94, 0x2e860c2e752d0ae9, 0xe20b336e84c6657f, 0x12c2b5641a6afba4,
0x7107f1b48f664c72, 0x53b8c8d4757803be, 0x942338c07a4cdefc, 0xee51af29af3a2b1f,
0x6fb07d2c46a28941, 0xb3c22ada0fa6d123, 0x9da280eb103340cc, 0xb5fef6f2f1c9b7eb,
0x71c947b678343e0b, 0x18ea992c5d3eb871, 0x313dfc4d8bea3313, 0x1bc5ffcb0090251d,
0xa961c4452d1dcb71, 0xb1d123c52db37183, 0x196b6f1b4b39e1fe, 0x7ee3b00d208e9f69,
0x65ed143b7234c8b4, 0xff30230550eb65cb, 0xc4e8de83f64fde99, 0x7f5bb3dfe5fbf92e,
0x59b73583a5c0f665, 0xd70866ac91ff1cd3, 0xcc3dd1169f7b1f9c, 0x25f51ac247c2b225,
0xf048dafb6271fd48, 0xec7899fb6ca75dcf, 0x93e3bfc7ac0edbfc, 0xf7dd0b07ef3f5b1f,
0x81ce8aa5f438915d, 0x688e93ca31282cbb, 0x95c48ae1f2a00226, 0xd2d4bf5c437b4a5b,
0xdd0c94f0044df901, 0x1e2f50a512a82ddc, 0x5697942f4803adc1, 0x31a944b3e8cdaa52,
0xec8a74383680cdb1, 0xd2d24c9b34d49d65, 0x78f909eb185c1379, 0x15abf0ad46e065ab,
0xe33cbca8b2f27747, 0x6fc28650078d57da, 0x1ed7d995572410ea, 0x59b0d11327301079,
0xe92d296089e739aa, 0x4eb8637d6ae414ca, 0x7e1b3244e5a19d44, 0x44afe2f0a4c09dac,
0xb6d2359c23e71cbe, 0xfc8ca2a6fe9d4fc7, 0x5400eb9a2543036f, 0xd20d7b9bd49fb670,
0x8a80e16d8708b973, 0x1a9e476c68f4dd89, 0x8613d15cd2a271ca, 0x84b33c2dcdcd03b8,
0x095c8a49654e0005, 0xe1c4877cfc2c3678, 0x575f5945610b798d, 0xe7ea478b6c34aa16,
0x566dd8202d8f340e, 0x9704f735b9c3a64d, 0xf574ded4c8b60bc9, 0x1e55a3068f0e8b9a,
0x6bb65cdcd62f3b2a, 0x2afca05a5f6bacf4, 0x5655970eb3b34c61, 0x2dda72cdac000457,
0xd8abc54c07566f67, 0x39f4e4c899323fe9, 0xe6da1b9879aaacb3, 0x4f911c56e61e746e,
0xb4ab4829d854f6ba, 0xade133209888d74c, 0xf049730717e84e23, 0xe2105867e69295d5,
0x4d619257d2db28df, 0x549a6f8646b83818, 0xa5568977fdfdfc5d, 0x421dbffc9e3d38e4,
0x139e7474d3cda417, 0xab644ee10e3b03b8, 0xab6d924a4cf66915, 0x0ba87ac05971d7ea,
0x6766061027100721, 0x888a4d27842894d0, 0x89faeb50c0304e1e, 0x7a8384e1102c9c16,
0x0681d0be7256ddbf, 0x8f95989ebd25cf8c, 0x9162107dbc58f3cb, 0x9f9c9f43e242e3fc,
0x61a65cb1c14e3a32, 0xcdeb9b5d8bcefde2, 0x7baf2fc411ca5d2e, 0x95e0b2ba6c60af12,
0x13871bee84a09667, 0xc513cf9e3122d9e5, 0x443b7755126e6d81, 0x47c55e76275ce0e2,
0xc2532851c947ead5, 0xb42880597af094a5, 0x9e910ead5794f90c, 0x9c37e826e5a9bf46,
0x323bca9df03743f3, 0x9367a0cc4496bdd3, 0xe79595a9f66cf485, 0xe8e7f7f2e8136a32,
0xa02b7774600cb39a, 0xc848bf11e455bb0f, 0x4eb247d1955d7285, 0x62391861c9b997a4,
0xd6e410dc5bbaea78, 0xfbebd415d173b1a6, 0x69780669ebb04711, 0xe8fd67598cfd94e3,
0x1a51282269cd2012, 0xb627f55fba10fab4, 0x33ec0d96f74f8fb3, 0x7b34ef95636a933c,
0x0613997a7940836b, 0x8747f93575ecd08b, 0xb7b6a468727aeed0, 0xd5ad2044c756a707,
0x5b6b5552e2e50bc5, 0x1fa1ca40857d52a8, 0x32594c7a0f80ea46, 0xdf5b99af45ccad05,
0x82ef5b989f91033e, 0xdb09b55dfc8653ab, 0x1cc13fe83e85d86f, 0xbc9d8b07f5e870d8,
0x67c244de80b80226, 0xaabb7ccd4dd72cfa, 0x4ea108ec908ce18b, 0x971ea1ba0923a18f,
0x6a6e8dfce54aeeb6, 0x9de10f64dae56514, 0x4abc0ee92ca798cd, 0x15f4cd025ae0432b,
0xb9309ccd00b7b46a, 0x4918b3da432d686c, 0x5213ed869b8c8e28, 0x1f26651b2ed59c81,
0xf87358871cacd263, 0xd2a542f9d6349ff2, 0x4d9e6c06181e8c91, 0x55d6821d9c2fda30,
0x13564a56f6f24410, 0x6b08fd3d98df1e9b, 0xf404100b72799fc2, 0xb4c573429072e967,
0x2363ad90e162314e, 0xe6028b199010f2ca, 0xe1e2f78fa29a4199, 0x55946c1a97f5c6c2,
0x4dee6e96fff0267f, 0x3a9740e2bd7dd152, 0xb227b96a7038ac40, 0x59f5635c603e7a7f,
0xee8d4f8742cd7c1d, 0xc5b1d0fa16e4205a, 0x4431a690e1cd3ead, 0x7d0493b3bf08d300,
0xe539a6a09316482c, 0xb62effa68ccaeef2, 0xf72ddfaa61ff2ff1, 0x3bba9df5aab9cd06,
0x598978f191d8b434, 0xa8b25c953c573143, 0xb8b9c8e2bbb96324, 0x3aafada00a747ecf,
0x1b00fcb434038db4, 0x65a67483e752e368, 0x4edfe141004ca3f2, 0xe8d56deedc854b14,
0x9b856bf78d099cbc, 0xb3bb7dcfc30fa492, 0x759958e3cbe4a347, 0xea7fd813830efd2a,
0x695299836ebef661, 0x357d8355852fdf49, 0x0609642eabe12212, 0x1cba0e6948b4b37a,
0xee65fdb9653cfcd1, 0x5a7e2afd709be9ab, 0xff768f5e03c00c32, 0x76c64d874ff38db9,
0xd862c3b43c625e71, 0xa6bef207e52bf16e, 0x205c4964bb8b4dcb, 0xcb0f815b4281afa4,
0x7319aa13cd0bc59a, 0x78ba6bbfb6f31928, 0x9714b16b5cc6a559, 0xec2c5d283d41eecf,
0x904fc9b8a3609744, 0xca7b8bd21efdfc5f, 0xb9a71a6648de8ae0, 0x37fe90a0b68e594f,
0xfe54cc1194adffcf, 0x6b971248c56b966e, 0x0d3dd551c9cddf5b, 0x475eb1dfc6edd9c8,
0x72191586f807d3e2, 0x100c04d4fdcab2f3, 0xcf5982e4db3dbfb7, 0x72cb36cbede8a3e6,
0xaaae782366a6df77, 0x9c0f7404fab86da4, 0xbaf3e4ffd697d620, 0x1ea1319d0b5ae315,
0xedead1882ee55bc8, 0xac886f76095e37a0, 0x3c9fa4e34df74a87, 0x2b0ced3ceb88d596,
0xd17aeddc7e2b06fb, 0xee80027d862ad1ca, 0x9e4e9e096a4c6e6e, 0x7feb261cb7e906ee,
0xcfb4fd8d157c9c37, 0x4bbf5f01c169fa45, 0xa227db71193629f6, 0xf4278fc8ef940025,
0xa0bbc33cfecdd276, 0x9eef97c7513fac4b, 0x6a5160539eea48ff, 0x334b8c7829f5cc9c,
0xa09cd479d39f6624, 0xf699ad13403afeea, 0x6c48781d2ad5d691, 0x9255296ae9e507d2,
0xdfaf7175b5c294f1, 0x93a1a8969963a917, 0x045535d13e98d652, 0xcccc28b180a80535,
0x4b2dbcf12f850813, 0xf949d3c4dc708766, 0x6634b59e43b0f3a9, 0x61ae157f8eb9c45f,
0x88a15f26815cac28, 0x62e28894b1ebe16d, 0xc1f0591b965f815a, 0xa1b82b79cbb5a95b,
0xdd49a88e258525ad, 0x20742cadf95abd6f, 0x396091e873bb2a41, 0xba850dcf89c6d6ca,
0x27ba660067976236, 0x2d87dac3fe8e3a4b, 0xd3ed4bb4daab95c5, 0x2ccd903d96fcae74,
0xb2aa2518db87a7cd, 0xb7c1fc4715107ed0, 0x3cbf7c46aaa59d91, 0x399e42b18cfc9004,
0x5b0168830cadb5d1, 0x4ef4c13df5499a07, 0x6438f49a8a794d3b, 0x23f278286504b223,
0xeebdf54d0b9c84cb, 0x54d227d196ad4de0, 0x99d18c97be02f426, 0xbf0204952a18da33,
0x6b9c24054c542958, 0xfa4931f9a8360643, 0x6cbaedb0393aee4b, 0xb44424a94a20e589,
0x239b638bd234d58b, 0x5bd6d4ca4294f078, 0x7379e2fbedc1dde1, 0x265fb61573a8e1da,
0xa95167eb27526360, 0x46b3237f729309df, 0xe3df48631b693084, 0xdb5bfde8b4bfae5b,
0x23a6059b2b8d16ee, 0xf26486a658a03c0e, 0x64ce96378d313981, 0xe0d4755cf099e1da,
0xfcd556652e4eba0c, 0xbc87e55b0ae8e5a8, 0x5377ade7a2bf6946, 0x777ef8251035b6ab,
0x2bc471672f1da3b8, 0x337d13210adb5175, 0xff1c3c885fc99cd2, 0x5b0a7c65baf42d71,
0x87e2d46431daca8e, 0x5b2813a3d8956acd, 0x0a70d69d91545646, 0xfefefb24bd3fb6f7,
0xdff1d6280b080d9f, 0x8e42779b7938507d, 0xd97f149fb05140d0, 0x9c1edac5345184f1,
0x47208009f08f0158, 0x785b6ab75dfb3abb, 0x92b872ba76f0e709, 0x40eb3233b005962c,
0xc941ddc854aed1ac, 0xc94269a2381d9960, 0x9d58a7017d399f4c, 0x4ce10cf998d7ca78,
0xb5f363f9aa82ba14, 0xd006ca37a2e8187d, 0x4bbedb0718201ce4, 0x0e56431df371a6d9,
0x12cb0af2c3e39967, 0x1b28f0c321079617, 0xc4555ea30c9ec07e, 0xe78e5e6f3ee8e8a9,
0xa2012c734ec96c41, 0x5a6db63f8c0fe25d, 0x2be4c45cb8f49a48, 0xa3f73761a93c2c22,
0x4b9236b12e234d06, 0x2434f626e37a4ee5, 0x72b3c39452249313, 0x34df52c2cbe0473f,
0x0da8e50e5ce318f8, 0xc08f5626106c9898, 0xda75e029a89f3074, 0x22132b1242442740,
0x93252b144ccad48b, 0xdf375ebc1c3c5a46, 0x9050ad57212206aa, 0xe955e4728140ce1b,
0x3ca172c073005cde, 0x276db6cd77d84ccb, 0xd3102e58f319a24b, 0xf14ff494ba8f62df,
0xdfbdae8d076f0b40, 0x3632d1fcbdb9df1c, 0x2fa334e160e911b1, 0xc00c22ee2ecca96c,
0x359c51489a63686e, 0xb7be9faa04f68f36, 0x045baf2ecf2b5219, 0xc89f9117c1edb726,
0x9980e7cc490e3460, 0x9d583c192423ece7, 0xc4cb452fbb290438, 0x320d12d474ff5af2,
0x1b6d16f068a309c7, 0x8d9cd5f266520731, 0xcd15e057eef65045, 0x4972e1bc94622a87,
0x147f31b0d67a6374, 0xe4a98c59c80c3fb3, 0x817d6ec99c6d017c, 0x4eddfc12c918e59b,
0xc821c1cca40da27c, 0xadc124ae549dfb7d, 0x754c880c6e36e4c6, 0x6df0ceae7a6623f8,
0x39eac06111be893d, 0x63053090fb23d45c, 0x945f37fe9d2b3dba, 0x4e6d4a186a4a021b,
0x2c29cd2f941fd695, 0x3845a49612c3f6c1, 0x8ce30f2d46f4abfd, 0x72279b205bd83dee,
0x3b2d65df04701257, 0x8bcc9e109aba7a8e, 0x979b3da62e9bdd7a, 0xa7884c8f3de1d90a,
0x992ec05c4ce73824, 0xcdffd7f22b03e951, 0x59ceca0bab0a7276, 0x554197cc221e8b69,
0xb2a7dd6af58123bb, 0x1eaca5b58b81a3fb, 0x1920cca62746013f, 0x9e97ad3b49991bb9,
0x54b7a5b046fa43b2, 0xafa18b8f535e6ff5, 0x4a6d985e1d6e3626, 0x42b09720a8fdc7a2,
0xac40492eb2642eba, 0x69f8e57e562aca23, 0xa03b7863f26d04c9, 0x413d8bda24cfd3f8,
0x3341569c1052989c, 0xe3fea2dfda634ee4, 0x7c41ef8524632677, 0xa07c6f80c5f4b74f,
0x35299c485df5cb5d, 0x29154b40988b4e79, 0x8bb9a8c00d7880a8, 0x85ec0b5c253db0dc,
0x97026cccc239b2b3, 0x33b71c4be2615e25, 0x7ec91debeaf4a487, 0x726d405f12f35cc4,
0x4c47706dd9b3ef31, 0xc3fe0db91dea86f5, 0x3700721fd69d90b6, 0xb056a9cd2b271639,
0x6f1d462a3b5b68c4, 0x78c58fa3aa2f9db3, 0x4f876b8a8c267787, 0xd2d38183c3bf177e,
0x666028816ea29066, 0xd28e9ee135572af4, 0xd3c48259d2c2aa2c, 0x67f8dc6a217459ef,
0x18bb970f89059601, 0x8c2640cf4ee6cbaf, 0xc63935ecee4ea3cd, 0xbfc70aa25ade5843,
0x2acebb4189db05bc, 0xac2e08bd79f2f6c3, 0x68d9948c7044e59f, 0x0d2af72628aeba8d,
0xa444bfcf703ddd2b, 0x927dcc5a2e117877, 0xcdb292b9dc8012e7, 0x60487702844ae092,
0xbe1b6df255829fb3, 0x6161c36c92773523, 0x111db80eb7b6d60e, 0xb3afa170ddd84e05,
0x04953b4cd5845fa8, 0x156d810a427f8a19, 0xed3ce37735965ffa, 0x069a462de8f654e2,
0xafa654b443f8b081, 0x16666166080bfb17, 0x0d4eebd7d45eac39, 0x9022b33c853a256e,
0x031a5ddd4a0749c7, 0x90f8ddfe03dea0be, 0x30744723fd7491c9, 0x1497c1b71c3a06c1,
0x01283becfc4eefae, 0xf6b25d8db65cda59, 0x0e7a10dbdcd1ade5, 0x98841b4acda11a06,
0x2749512e58b4ef6d, 0xef27a64c97b8f9a3, 0x1a7483f705bada71, 0x2a39820b01aeef50,
0xaaab549f7d36bd3d, 0x0d554016d019a036, 0xe5a29cdfe2f47af8, 0x4941042580e2a95a,
0x7526aa5ede922c73, 0xd083c7c8c0d8372c, 0x3d47910e571b8861, 0xd95c0eb613accc2c,
0xfec268d8f9605d94, 0xb8d5eab93f7905fd, 0x1a75d14921b9ffb9, 0x7cea4aa15221be88,
0xca0e5749d48277d0, 0xdfdfdbf59cf29ef7, 0x95189b60d07d1474, 0xf8865d10d3baccfc,
0x9cc1cbb229f6c8e2, 0x9595d4ba24880826, 0x34e75ca88564ad4c, 0x9113900b38c26dd4,
0xe81845cd548dfd33, 0x8772335e8f19e877, 0x27c92c2fb6669b12, 0xc5f7d7ca22ef476b,
0x44a3719f36a059ff, 0x26610e49e9a741b8, 0x8eb0eb6a8ba6e542, 0xc137c8fa00b8145c,
0xccf1f207d4331d23, 0x8706c85eb7146072, 0xaba44ced38bb1607, 0x7864451b2b1815cf,
0x89d8983fa1f85907, 0xda0843cd1e212ad0, 0x00df8b62400214ab, 0xf9b16f63293e6774,
0xfaf91800764e36cd, 0x6381d1f3802b0b9c, 0x00afef107a37baf3, 0x2286cf55119b331d,
0x3e012d6033ba1063, 0x5d5fa60fabbe905a, 0x7825ee253157fbf8, 0x902ea09371b6e2b9,
0x91b0411e30f3512e, 0xe78aa9c1b8f3d771, 0xa2688331f3b6ec17, 0x8440a9c231ddff04,
0xed5c44e872e4696a, 0xb5295b037ec03f94, 0xf87792e544223823, 0xe9e9391b23826bc0,
0x9bfcff10e5abed2e, 0x8efe784608de1bd8, 0x5365f61fa65568b5, 0x52b2054450063eee,
0xdcbf463c78564296, 0xc2989570f55e8a53, 0x7e164e017b693f2f, 0xdde91125fd199861,
0x2a169a7b33adc793, 0x9f4e17192850c3ea, 0x19c01991a707f3b0, 0x9c4e5092e8da0cec,
0x3100e654d7d4a249, 0xda10dcc1374b8044, 0x9b7cc6aa9c377cda, 0x97eff108c6bd796a,
0x470314e8d8b0f58c, 0xb23a8010eab286a4, 0xebd3adcc33105292, 0xb99c683797b076b3,
0x63e7e0e675123a07, 0x517fef9b5537e714, 0x7e8957b0640f4547, 0x5c94e0cc35eacf7d,
0x813110af9bb46694, 0x7af6126991893f78, 0x6fe50a35222607e7, 0x3dc8e5ee6ad06e34,
0xfdf9411cc087c4ec, 0xe961afd929aa5316, 0x6ee5bfc05fc85cde, 0x80b78e685fe58fe2,
0x2750e6b2e564b34b, 0xe54c5db1c9f00a11, 0xb7c92ef053a746f6, 0x8460c0b8047fadc5,
0x3796f74d054b9020, 0x8ed62ca604f8ee3a, 0xdde74f43dc569e41, 0x1224e3fbc2f281a6,
0x5e6550e648308f35, 0xbe224a6d14f817d9, 0x8c66d9c4b530758b, 0x3fec9a2d7d94e25e,
0x14fa9d602e49a830, 0xda6536f360c3c933, 0x35b0fa2792798d15, 0xbf946fe0a1583d45,
0xcb79ad96d674f0dd, 0x661eb3690f104f75, 0xa2f11f19ada9e561, 0xfe0e2c5ad05472ba,
0xa978f5671b4c59ab, 0x8b8599584f359911, 0x5b5803331ba72a7f, 0x67c5a9fc6846ad44,
0x55cf92c9b3598ac2, 0x2fb4148956f3b54d, 0x8c247989debde614, 0x7b40299c2cf4334c,
0x680e91a0c779746e, 0x08e936fae53ee1a1, 0x8877287b86405689, 0xe8daf80895108c6b,
0xd0c19835bd036162, 0x51141c4dc658bca7, 0x8913710d56e6b819, 0x6cb02a87e51da8c8,
0x23e17b406a1290f3, 0x386cd4f648409b85, 0x8dcfbcbbd38d713d, 0x78f847960ada5253,
0x3faaea970310df87, 0x2f1e84b2f2b4c8b7, 0x0eafeb4ad016c8e3, 0xdc881ff9f98a1cd9,
0xefaab6bfbf8fa49d, 0x4cc4c92169fbcb43, 0x454014b534738f1a, 0x63a74e9c50989367,
0x1a173a3dfbe7a4e5, 0x86ef30562fe559ac, 0xa638aaaeadba274e, 0xfe5dfc36d3e4cbf1,
0x715b1369228faf13, 0xe856be2d0de525a7, 0xb7ea0284f33e7841, 0xf7963585639da36d,
0x31db99a4ff6f1d9b, 0x665860017bd8a15a, 0xab655caf17544756, 0x03f9212052600ae4,
0xbb4ddf712b253186, 0x77c4fbc3efb13d1c, 0xbf368924070fde5e, 0x796aee4ef778a395,
0x0971eb60ed054b7f, 0xc671c3c60cdd4bee, 0x8c08840a316131be, 0xf5c13ddf06062f8f,
0x8df18a849f9369ae, 0x29ad21b365b01dea, 0x36ac5ce99019e2a1, 0x3a3bb68a08bc6981,
0x135a2bc2075de743, 0x0de6a6ac5fa70270, 0x08f4fbb4b8418ac1, 0xe092ced6d356925a,
0x772ed44d9a6eab36, 0x2d857ea9d439ca06, 0xbf2dcbf2d1df94b3, 0xaaeee055ae75cf95,
0xf62a302dfb56f24b, 0x75c5bec0923a7780, 0xd1f6a6f26f21a31d, 0xe868605d120636d3,
0x7c12fb15b7220a0d, 0xfda84930d2dfebee, 0x6f83c02670970162, 0x793eac7e9f363558,
0x901390babccbb454, 0x20bffc51851def23, 0x9527490f16494961, 0xb2012ffe8191c0a4,
0xc707a8b31453e67c, 0x374e0368c43e166e, 0x8e9a37064cd0ecb7, 0x5fa8ef1c5783eebb,
0x16b4d54ffd14ae23, 0xbbfda4b197b382df, 0x6f13e2da174ec49d, 0xee772bfa125c3189,
0x3ca6f2d30e8c8146, 0x3dd4f96ba1c42ca4, 0xf7ed939e78391929, 0xa9d81922c673f321,
0x48f6bee82965b2b3, 0xca2b71e056e62128, 0x42395b5f148b7905, 0xa62eae214e9a1d3e,
0x90131a03e4a9f674, 0x190cb7d67e54fde0, 0x18c699d5a63f59a3, 0xa4faca83614d5550,
0x5f6eef67f9ffdee2, 0xe4e457ff3d2b285d, 0xc047f1e7fba34515, 0x14370ed3b08e85d5,
0xd8f69603f76a6f09, 0x564b702469c91d58, 0xc82a7f8cbce2ee55, 0xa255ae297e115b1f,
0xce60738027e3eb96, 0xda416beffa2b9f9a, 0xc4c89c08801ebcb4, 0x9d3694aa40026cc5,
0xc1c5b7dd8ae1690b, 0x59fa23e2892c46e9, 0xf02e6d01f4e00197, 0x4059e93278269334,
0xcd61c1ee7dcc9fbd, 0x02ebb082c19ea031, 0xf9a418652ea070c7, 0xc8282f5fa3aeecf4,
0xf83d1529021eef9b, 0x4580daef02ca20aa, 0x0233a9451f8c9f9e, 0x28107ad50409c8c0,
0x0ed145f4e0319521, 0x529c135f4894247d, 0x0091ff02e142a10c, 0xb79aaf4c4855b7c1,
0xe54b9f4cde954c02, 0x0295c469e37ebc46, 0x21f1c7056ed6b4a1, 0x4a51e84d34d5f031,
0x0cb45eef82fbce13, 0x9766f8f46ea85ac6, 0x29c47696b2d03d47, 0x1305069cd4d7154b,
0x899c5a533eb9a969, 0x062155c8548c5e58, 0x7b44c801621c375b, 0x6b72e3ce3516a236,
0xf5da6b0dc95ee5e8, 0xea412791ac16fe01, 0x2cffd6b41bfbce69, 0x754a5257d5f2959e,
0x812c51b554bb5891, 0x1589c0a360e2afca, 0x388228e7c284e90b, 0x944481a3bbac0331,
0xb882241941c8062a, 0xd54e8baf4c72c3c9, 0x0c03a4b532e9a5b4, 0xd07b394027c1ac7a,
0xb9f9857465df5c43, 0xbfdc439fcaa733a5, 0x00889ba3e98c01ea, 0xedece1f087061699,
0xb81ebf8d4f961483, 0xbce411cf673d9d04, 0x76dc8b9981c20b40, 0xd26b9084b3305290,
0x7c71da491805787b, 0x9b40856ca294e56d, 0x3f332e97225b020a, 0x6c2af72c8bda1718,
0x51ee043970d68c9e, 0xcf69f93018e32e55, 0x91f243d48ae302bf, 0x6409f031e0519398,
0xbd1fd105e0510cd6, 0x85e9d81f2e188fd3, 0x6b7c90e0aea463fa, 0x1541d0bbe69582c2,
0x2c52dc4271c14e78, 0xf6943cf6ea4677ff, 0x5a58a9d8a9068c56, 0x3b21caa165e3521e,
0x456c8b84896684d3, 0x3b4322388cdc72e1, 0xc94ce2664a2cb632, 0xe8c26b05a7bb7eb7,
0x1c9d33b830e3a50d, 0x20390236af20b4b6, 0x4b604a89ac5f8e30, 0xa181c958d24b3890,
0x1385d32e323744ba, 0x7577bc7072a560a7, 0x37e35a74d2326010, 0x468111dd7791c9ad,
0xdac7402c34267857, 0xb72d12e0f290cd9b, 0x28618d52aca16823, 0x306eb3d980fee69c,
0xef95d0886c479189, 0x3de5a56421aba09d, 0xc697b7d967cf5b54, 0x4f7e5aeae01bfe71,
0x2ee5808cb4819b87, 0x19acabf7778021f4, 0x2624d7853746c06d, 0xc41f3a5b4a1bca94,
0x7fe94f5d12053cdb, 0xd77c0c073ead1a80, 0xad89dec69e090bb9, 0x517ab3742902ae0c,
0xc5143414b516cbf5, 0xad5800b1b6800acc, 0x48c44439d5f67184, 0x2b0c74b3de95ffb0,
0xb2ceedc9a6f928e9, 0x27b6e56f05821fad, 0x2145bbf190f94e8d, 0x534bec5098366bd5,
0x02c167c2194a6786, 0x3440dfcdb724b86e, 0xf5b3ef49089859ac, 0x4a16ec9907637947,
0x55dccf60c580c4eb, 0x0fc4e0f5fe828680, 0xcbdc05ef0a086fa5, 0x69b1c6b943224200,
0x10f32a975fa6a5a4, 0x6b57ef8280af169b, 0x42c9ec9b324b19ab, 0x88e1acc19315c2f9,
0x290c1ea0c28618af, 0x5ee0f6082fc7d5c3, 0xa993988ff40638b8, 0x7d1a5d01d0ee2964,
0x6f02d7a589eb3578, 0x7a34b9a164eb28c9, 0x3599bf6edc21b5f6, 0x42420084fa399e36,
0xa55e6e3afb2591aa, 0xbd5cd8fd28d3d989, 0x692e982394e315de, 0x9c711b111f1da811,
0x8b8a87c8b60797e7, 0x6f1e7b2e3d5d1517, 0x8a3fe3054d83148f, 0xf551a9540f13b3e3,
0x72e76d96b89a8d4c, 0x7e3cc3f4c60385fc, 0x39c14978c7acc3b0, 0x0af55aae5bd863f7,
0xaa30ef33dba4b3b9, 0x749828315dcafdb4, 0x475b3cfbe92cc03e, 0x67e72d4e823879a8,
0xc9ee6f2c391929e7, 0xe18798a7d3c5aba8, 0xe807406fb30b67c6, 0xa61395aa639377d6,
0xc29a73a2e8ab5af4, 0x5aaa55fccaf9d6c2, 0x967f04f118ad59d4, 0x17e31a7b0b58ad39,
0x7cadef89e2b22c08, 0x0b276527a22d022c, 0xe11abc1bc3172ef7, 0x057b13c90951fa9e,
0x70567928f3f80acf, 0x827dcf38b17df714, 0x2e64548f4b4c73fc, 0xaca68bbddd78e838,
0xd5d5988bc8dc5e91, 0x042d45dc6223f976, 0x662e4de40d33e3ce, 0xdb7459f3c4fd5935,
0x3110a17d14505d6e, 0x617d1352d87a5b35, 0x7c4685b33b223c27, 0x451e4d7a9152d8b8,
0x1b65cecf8266a056, 0x5a45f9b0cd470d2b, 0x7d12941567cff145, 0xee1a3030777220c9,
0x8e713d8beb663932, 0x4c6d8a061646bf2d, 0x9943de3068e54256, 0x5306bd826d06817d,
0x150391330aef4eee, 0x911cddcaee00ebd8, 0x0635e0d0750de675, 0x0adb29d4c80b250a,
0xbaa91b7bec14b6a3, 0x8bb251c4d626fdcf, 0xf3d93aa25b681937, 0xacee38b966ca8b8d,
0x983afcf415e75dd0, 0xae57978afe3b7e84, 0x4fcea029c8c9e70c, 0x529baf14b98df6c4,
0xba514be5eb3a23ca, 0xa7e0a13409099a78, 0xff6aebbbed579b2d, 0x0b144185e3d7c1b0,
0xf11d74de9b1744f0, 0xa3e72be7187b1f46, 0x7504be394c45d09d, 0x83a2c8cc8a987a73,
0x21c88b62d048776e, 0xadbde7f160d8c96d, 0x1dc8c52612577f79, 0xfbe9d2063442f7de,
0xf5c473ec4a3fe6d5, 0xf31c5744e4170c19, 0xd4aac28d7905d189, 0xed45fcdc435fb588,
0x97ab84c6236dc214, 0x5baf333780b21044, 0xfab05aa501a125c2, 0xecb022dc9ea08637,
0xc7850a4da97998eb, 0x4c4f746292b87a75, 0xe68d9b8cb70327b3, 0x4f29c30fa4cd9080,
0xd5f1e14b34fb1cda, 0xfd9ed31664a562df, 0xdacac110bc98391a, 0xbaa5b57e447a4a5f,
0xa15730a1af8b9e30, 0xe5a655fba44d3c6c, 0x38529cec7f7c5e53, 0x83f47e73d444f65c,
0x66ac5328bbc88282, 0x3e08698fa6f524a4, 0x90ec419fc541cf92, 0xec025eba8e545284,
0x89ea3c5ac193e861, 0xf3e4e77ad74c5d24, 0x8a45df9502f4003f, 0x3cb8ca44c1701b26,
0x2f7992a09552b596, 0xedd0c10d9ed880e9, 0x38b31f377d894555, 0xf298863b648a67b7,
0xc1b870a7881b4f3e, 0x002674622a007ba5, 0x8092ad3244ed8148, 0x49ee2f6041b60776,
0x632cf22888cc6dfc, 0xdba2959c64c16441, 0xc18b9a7b7be100f1, 0x6afe9be632112731,
0xd6249417887b40a9, 0x0466b36f06b5a76b, 0xe7f0217708de6e0d, 0x166766578aa6bbc5,
0xf7ab61b7a320b0e4, 0x07f942adbec4c7c0, 0xe7d1baa76a6c79cf, 0x328f25d5461bfbfc,
0xb0e7869b3ecc4a2f, 0xf0947671eccac059, 0x1027a538087dea64, 0x1ba54441964d0a18,
0x112db5f8d0e525cb, 0x2dc74cd3dd390033, 0xa12ae55e476839e8, 0x7132edf4304f89a5,
0x6f00f4f6bc1c532b, 0x9af5b63e28331f5d, 0x3360d6a27304643d, 0x5941fc15dc93e55a,
0x47a9241412672474, 0x0c4b9803622f4504, 0x0b5daa66678758c6, 0xf22c6cd02ed7ae9b,
0x6c514a6331f9ad4e, 0xa3431ebc50ab68a1, 0x6f07ea6161fce9bd, 0x199c974715836554,
0x04f3d15744f3cfbf, 0xcfc9b0c3824b76ef, 0x7c56af924c58a9ea, 0xba495e117970487d,
0x25a7818abca760f2, 0x9a62797f2110d02a, 0x92646e1554e85c87, 0x6f9cb81486614150,
0x468a07af46392cf5, 0xa3542cd002bef2c3, 0x54c5626c350ae580, 0xad4efc1fcfb98fe0,
0x61a4801272ea40ed, 0x5837a739b88ec779, 0x53a4ae9741a27cd3, 0x1d65fce509baff3e,
0x5147c4fa5aeb7abb, 0x0b91f3f1f6e4435a, 0xbc3100b284051308, 0x1ec2364d5f04bbce,
0x4c1b4e17cf442a67, 0xacef09e475c7076c, 0xb42f7b67a91451a2, 0xb0b32efc85e68d40,
0x5cd3c6921bd36f6e, 0x78c6c2d211fe14d7, 0x89663735f0fbb4f6, 0xe127e2a54c54c43f,
0x111851c5e8b91353, 0xe19b80e61db2fbe6, 0x6ee301c0dab99f51, 0x90131120af1ea480,
0xd0693289c2114cf4, 0x3ceaf348e2f52531, 0x01bb1ceb5fa67725, 0xfd6bf6946c05eace,
0xdd8a988a014454b8, 0x0217f301a694921c, 0x677a83e3244ed994, 0x0a16f3ada3c3fe64,
0xf273ac5541ed53fc, 0x99db037268853a76, 0xada181f2c03fdf1e, 0x15ef5e2b886dd6d4,
0x19c56f4bdc451ded, 0x34d628483964ad21, 0x6e7f6f99484f1859, 0x3beb6c144845d786,
0xaa7e9cdf3259b85b, 0x9e4d55291089acb5, 0xb3ce99d00c83d5f5, 0x3bdcc1d081f7b2f6,
0x6f14e984708daaf9, 0x15e47d9d55c469d2, 0x1979e42fea2e3ca8, 0xbf9c6764d98bd4d2,
0xdd767e710fb7d72f, 0xfb2a35a931454177, 0xcce476626a9fab9c, 0x8da6e86c9c774840,
0x71a7f61f1656315c, 0x283fda98d127c7c0, 0x54d455e56378ea1d, 0x4614d2efcb6a15d6,
0x59d4ea4c7b66027c, 0xfa401e892b8b3eeb, 0x0212b994aaeb7bce, 0x95e3713db591f828,
0x7382420743d258f3, 0x69e365f2a41573fc, 0x557a5d8e2556518e, 0x46a1a9c2081a196b,
0x526c8ef17421e4d6, 0x2978001336b6304f, 0xb055c728ee7d0ddd, 0xb482b8aadee7aecb,
0x05c52e33c5e77a6f, 0x4a6247890e638a37, 0x255e52ac97b3d039, 0xaae35dfea1c75855,
0x93552dd3f0fdb4ba, 0xfdcc3971e642120f, 0x91b1eef789b48648, 0x154787ca45dda206,
0x722182f2639f7f18, 0xe3c3f7d3ef340f80, 0x7984022b21091573, 0xf7592b1149094ae3,
0xeed6e38050d828ce, 0xebe7883eeb1eeaa5, 0x0588d7a1f8092279, 0x93771b4d3d8753bb,
0x50e6f57bacf1753e, 0xcb512b90080a388a, 0x2b9aa10d3865578e, 0xd1f8d58cbbbbc8dc,
0x0f1280f8121a4b34, 0x1320ddbe6468761e, 0x077475763e80bbf3, 0x3bddb635e1e10fb6,
0x7ef40a13dc2fbcbb, 0x445a68774f3da827, 0x1a2454abb2b6cbf6, 0x10c01bcb7919d310,
0x201a20c4f4ca33a5, 0xc35759e4477d5fcb, 0xafc29909aef70ac0, 0xe6b5b973d3bbb3ca,
0x378102c9200fe5f0, 0x6e13607bea534c2e, 0x3489bea419ca61fd, 0x0a49dd8a953163e7,
0xecfb6fe7651dcb91, 0x99e44e6d0e2641a8, 0x4cedd2b9dd5a3d3f, 0xbc09992842bf5116,
0xd7337adbd8b5528e, 0x175813ec91ebdaff, 0x255c853bcb02fcba, 0x18a7e8f2688cebe4,
0xec643c4e1bdbb99f, 0x416043b43391809e, 0xaa42198b6781ee85, 0x794540f865959da1,
0x0050a8422f325acd, 0xda319ea82d4bd78d, 0xd02927fb87760e85, 0xbf5a7c04f13b35f4,
0x4862bfbee6ab8190, 0xd1e459af39a7f4ac, 0x690f801d7dfff662, 0x6b57c814f57774ed,
0xf1272d6c178150b1, 0x6b3dda4f9dcd3780, 0x488de59a4383b448, 0x0fad58d6016ef5b0,
0x8f0419619fe5204d, 0x7d869ca214609e96, 0x83276a8178bdb643, 0x5efbd3f2882da912,
0x024f5e85fc7c2fa2, 0xaa0c6acb744d482e, 0x3b08e30cde85af91, 0x0aa1c6a5f3ec49b7,
0x1289c3b746490bdd, 0x280b0cfa9af3db3e, 0x0c313d24a7a6a454, 0x6b31f2aa6071f47a,
0x8ec97f55532f752b, 0x123e614c49147c44, 0x047660c108bd9483, 0xfbc13db0ee398ce5,
0xfa92467554571c2c, 0xa929cfd749ca4c68, 0x2a231fb294d7766f, 0x7e10fa8fc05ae42d,
0x855e9e1ef643127e, 0x2aa4bf00bb360a2f, 0xa14b049ba80ade5f, 0xe7eac84ba0aecdfc,
0xd2ad4a50fab5a98c, 0xc42e1289b7647656, 0xe0bc0c30ce0970cf, 0xcb702c8fb76311c1,
0x111207795af0dddc, 0xb8cb9ed0cb21792b, 0xb1a41255f269cde1, 0x61bbc3a3c9176ec9,
0x3e1d0cdd46f3ec84, 0xda74cb1b02d7058f, 0x2f0c7b9660ff64e3, 0xb1148b7899c83449,
0xf0a44b4326f2efeb, 0xc84a100ffc441418, 0x57632cbc5beef647, 0x94e1a841204e9034,
0x7f62ab66e60f764a, 0x9c6d14f1b1876d88, 0x49ab70f3525fe230, 0xeecf215953528f18,
0xda0579aa12bab08d, 0xc34c4f69d74c0f26, 0x033037838762c843, 0xefcdcc077132b157,
0x913883d318bcf844, 0x6f9b30e1a4bac00c, 0xa7861ade2e441a35, 0x622c5901979efc24,
0xceb39a59ca37bad5, 0x3570963f05be6fd4, 0x62ad4895e02bf3a3, 0x7eba6f82b82dc832,
0x95234a1b8fc71c39, 0xb6f09f13565b8a89, 0xdb57430808d951ce, 0xe4a4248118cf6ea3,
0xc84cc632a2ae7bba, 0x22f475ac2508c468, 0x68cc3d1497393995, 0xe72aa6df700f15e9,
0x6ac873c2b8bcb1d5, 0x3f6734836ae30a65, 0x37e5f02daeae3d13, 0xd39167dda66565a3,
0xa153094a12d166cd, 0xe4c7603edda285bd, 0x923cf3f0a5b5ee0a, 0xf9fb2dd192954e48,
0x306ac270c5b723e0, 0x8606c830122c2958, 0xe7aecac688a53701, 0xbf6dc059943218fd,
0xa4535b9dd962ff5e, 0x25571849af3f9777, 0x4c9e418f6ca9e2c6, 0x3572d9f3f3f65cca,
0xc0bbcdbc341a2058, 0xbd7b0453c63dbffc, 0x4f7a9ff3d29166e9, 0xd1de349e5a6b4d75,
0x5fcb68a64bde964c, 0xc395d181d82b71f2, 0xac00398a33f51378, 0xf4a6337e47bf20f0,
0xc64cb0b05163d0a9, 0x30bc5d8cee58e70a, 0x12a3ac6e4c40930c, 0x5d48a5fe9a94d7b8,
0x0f54c0b4ec777fe2, 0x380a23e1f7d7708c, 0x5ad927039604c51f, 0x60d473456a62508c,
0xe56dc76ca61fd1fe, 0xaa4433ddf04c3580, 0x0b4a5a54ac14ab10, 0x4f1d86d7edfb852d,
0xa95fe9a70df1aeae, 0x885a5c7b28159a1d, 0x4409daae13a3a78f, 0xaea8705bcc2fd398,
0xd02e202cd1edce96, 0x919bd3c74de1be9e, 0x1c2d6aa4d55419ba, 0xdf8a9c4a721b162b,
0x73c3040c0fd1717a, 0x68b2eae14d78b77f, 0x105f8b2555d5bff1, 0xf9b8e9f43e2f7970,
0x77f0a45d7862aa91, 0x26102398472d8203, 0x83c8f5a302078aeb, 0x4a781ef65e962e8b,
0x3ce33d2a4b603fe1, 0x72a4b9d499c2e7de, 0xb58dbf4808d242aa, 0x66a8243e268c513b,
0x12c2c8966fc7890a, 0xb56c2ffaa78f8762, 0x2ae7b38cd0435a50, 0x3d5e4d97ae34f69b,
0x5fc317613d6bc59d, 0x6bf9af035c90894f, 0xc98ded5cd8befc15, 0x133678cbfcc1ef34,
0x32cae0f08227a937, 0xaa3140622b9540f0, 0x4ae39fe55c80fa24, 0x9edfe7a36d6320cd,
0x00ef4cbcb1e07d2c, 0x1295bb6e2c2a59af, 0x0fe5d0db1f1af0fa, 0xf6b309dfd7ebf79d,
0x3d24f10e338eaa66, 0x4c77759419ae9087, 0x15fa2a1105528d06, 0x24b3de51ad631e56,
0x6eac8f01e1ba4776, 0xfe6b5c12a342fe57, 0xda05caeacd2cbf3c, 0xe2491bf0f2121019,
0x6d937814add0adb5, 0xd427ee433c9f55d0, 0xc98c3644102e4fc1, 0xba570518303ff9e4,
0x8c778b744d7441d7, 0x6077c1fbdbbdd700, 0x6169ecc5d5b4d4bf, 0x3dfc98b1f0949933,
0xe377495735c9968a, 0xe70e207f0734f8a8, 0x9f54ca53d6b1cd12, 0x14ae2af4e905f636,
0x92f3d2649f629922, 0x1f0bc9353a1737ea, 0x14bb26ceead999eb, 0x438d3ae4330827ef,
0x9d893a3f43533ad5, 0x6bbeb15d949d61b7, 0x0c39ce1075d3cbcd, 0x2366e5079088bff5,
0x7f6570316888ca19, 0x19a9a32a062f4857, 0x4db801529d58a828, 0xe869d47ccbafcc63,
0x995b788df0bb049a, 0x314d9467b0daf893, 0xbea1d1cd39fe207b, 0x41461bb994987ac9,
0xc81440601f679d5f, 0x78bd9800ee5152c6, 0x5a5e9aad6755b22c, 0x159a2f65e39e4ad5,
0x49427dd743a2fce7, 0xa16e0382d1ed0213, 0xb21ce1fed4a274cf, 0x845a5bad82144817,
0x79c5470c70c1eb59, 0x16acabdfc6a24be9, 0xc228c144fffcd57a, 0xdeb2ebdc7bacadd1,
0xa3bb31927e5fde99, 0x3627a2fc82dfda3d, 0x73b8730e93fdb147, 0x18daa73a840536c1,
0x9818c222439b187c, 0xca6e21a4818c0a64, 0x48ab7a57cd0368dc, 0x29eb7e992ca89a45,
0x986bb8f35ac73648, 0x8866033fdbf7efaf, 0x896a3f633808768b, 0x2824b27d3d4d12d9,
0x77072444404f2f05, 0xc9765da8b44b4613, 0x9fa80e27aa9885f6, 0x200e50695055a1d1,
0xa7fb47fdb7f3a1c4, 0x8b9b2358593dd320, 0xd41209b3b80b3276, 0xd2e7955bee72e392,
0x23edfec0bed3dadd, 0x4cb470b56c34dfc7, 0x1e765ec4457559a1, 0xf89ce5a0dd65ac34,
0xf7a814af0e779265, 0xca0724665937b162, 0xb5c114f720da5865, 0x5039a5b398dd42fb,
0xe631a2259417f092, 0x4a17a751dc03a6d0, 0xfe60a8996914ff4f, 0xabe38daff37c6c12,
0x257310e525eb4868, 0x2342c32ff4a66fab, 0xf461cfd108d72fc6, 0xf847c991519c331e,
0x6f3433283b04d04b, 0x5d7a855b88c018bf, 0x139145254a8f665c, 0xa6c1a24cbdc643c1,
0x4a0441fc756e9799, 0x3db67e8dda3a79bd, 0x8dcd0701383d00c8, 0xc09fde2b46ad746f,
0xa7fd5f14a3be5172, 0x88aa7886946856bf, 0x6df41ce7f2093138, 0xaebb49c4b56cbf43,
0x3db9dc96995cc9a7, 0x31b29a8c93c6da00, 0x4c63e4e477e1fb4f, 0x756b55ea39677a4f,
0xb8edcc84bea0d5a1, 0xb0b0229a783ea671, 0x3b1ec4ae00aa9e5c, 0x80457adcf0ce90d1,
0x85d604401c90a83b, 0xdb8183c10cbd58e4, 0x9b3cf795a40aaa7a, 0x479ad85728e3a916,
0x94e91095d71dd760, 0xe905fa435df7bb42, 0xdb275065f61ee060, 0xd04c1b09a4319bdf,
0x7cdec327135f6f09, 0xe68c2f63a87d1b7d, 0x87478d642a12c5f1, 0x8f2a981b281068e7,
0xcf60eea69c88dea3, 0x6980a7dd7de75f9d, 0x7eb9e6ee86698335, 0x885fd803d339b9c3,
0x3ace87b25e8defed, 0xd3c675f1a403299a, 0x82e63c157961bd64, 0x7141d349bf919aa3,
0x6ef6e294cdc0550c, 0xe4a9e3d2555a5746, 0x2e87176c56f54ac5, 0xc97c150cacebfcc7,
0x9b20e243d62f850e, 0x5286942fbacf03d3, 0x53cc0db87fea94ae, 0xf548b3ae31e2b97f,
0x5da07b3fdd12e21f, 0x6bedb1df14ce3b9d, 0x93ae358a4946553e, 0x94abc7ff4018f266,
0x10abe00593af976b, 0x8057ec6dc812681d, 0x63925f1f331d907d, 0xebd681a7bb8d1256,
0x5aa08be9fa1d22e0, 0x0f7ea64c96cf0511, 0x662562c82444806e, 0x4ae40a185dbd94c1,
0x9d3968e70f7ba938, 0x5f881f4a69721b71, 0x9091afb47f1b512d, 0xf7885ac9bf893ecf,
0x33cb1efe88f4d452, 0xfd6113510645ae34, 0xd37cf694de44ff2f, 0xeb5ff280b7b11493,
0xcb954699e164ceb2, 0x97d1464ad7cfcad5, 0x75f290b14e9c4726, 0x4112a619d5b25dd5,
0x076f2fa85fd65473, 0x7bbe73e8f419814c, 0x778de35af34e527e, 0x1a588070b12e536d,
0xfb36490f6427819c, 0x8e24ff52578492f1, 0xde221a9a3026c51f, 0x77d72bdccddb6857,
0x35697b1a24ba8234, 0xaefdac5fc1c3d958, 0x8eaf2c832839aa17, 0xb5cc27d67ed90a76,
0xc73310b2c4e00bef, 0x5159a37641e5ec0a, 0x3182e3f260bf07d6, 0xbbb56b448c9d909b,
0xf73189b5636e24f4, 0xbb3b173f41640926, 0x976ff682fb1b3f55, 0x2ea50d94e738d099,
0x9ededcaf185445db, 0x7aa537f8a79c24e5, 0xb2ac6d3a25657e17, 0xf837f424093d2361,
0x73e345286fc44a9e, 0xf868deb80e1a7a5e, 0xfde4398805fe75d0, 0x80db7d0d57c4e8af,
0x7021163973fd5347, 0x84b36f66ef5feb8e, 0xa756852ebe22fb12, 0x3d044cc3dfcab0e2,
0x287226e432edc672, 0x26592697e340cf47, 0x5cc9d88b4d858f8e, 0xcccb174a1c7f6a72,
0x503507386ff70d37, 0x297a3e743917c986, 0x1a5b0a4f5686c445, 0xa45334749d8715db,
0x36c7ac287ef8fbe4, 0x60f6e17a89441b01, 0xbc664b82d970df38, 0xef310c6a90f90c40,
0xe32dc9525f01207b, 0x96b7beb6f0ece79d, 0xe5819290148e39e5, 0x5a1d4782c194fa5f,
0x528674f75431c382, 0x14875842d441b90d, 0x183034ef2ecae4ee, 0xb28ea719751dd32c,
0x1f53d63e71615578, 0xf7385084c196adea, 0x24ced28a3528d72e, 0x0b539c0474e73a18,
0x406beee4cc30cf2c, 0x2a38db5c2d45b770, 0xea4b145581c1dcdc, 0xafd6cddc4e5cf985,
0x93c6774ca1dfbd40, 0xe61e141648c87739, 0x6d39e6eca3f2a644, 0x6ecf7424c4308e32,
0x7b71ed72291a491d, 0x90e6c51bfbbf6ce4, 0x3d05c872ce7bda6c, 0x4c865775e74ff6f7,
0xc9f695d365a87f7b, 0x5fc248b4fcda9fcc, 0xbcee29e64430ef84, 0xaf02531e001b8d4f,
0x1a04b8d35573e8f1, 0xdb47fb8313b3d49e, 0x48df404200d17dfd, 0xf16a4fc5232de06d,
0xcf00570cecaf5c28, 0x41ba3aea8d05ec3a, 0x3fee2096b4f1e029, 0x7d28d3a8c1daec1e,
0x8b3b47a7a28115c7, 0xd4c3075c68002329, 0x844b730f369a111c, 0x21bb5898d33f51a5,
0xa62b1ef268c00447, 0xe727403bab841fae, 0x78d25b5004a4dcce, 0x565bf6f3795b923b,
0x58a9f405f55241f7, 0x590adcb520583a96, 0xcc6c883e8228557c, 0xdfddeb10a3731c54,
0x29fa09f69fe66f6a, 0x59b37831a61702db, 0x28d9ed51555be8d1, 0x471d87feb3e123fb,
0xfd23eed100957851, 0x633abb187658ad43, 0xd4d83b733dc086a9, 0x81565f012cd7b96d,
0x727f8d648ee93eaf, 0xe5d2397531695575, 0x9b6180ce82e530b1, 0x93b5c4b8c0bd8cce,
0xe36f427f893d512c, 0x75b74068f8fe7c2e, 0x663d1d5bcf823797, 0xc45211dc5271fb64,
0x27fd105f22d7a9a0, 0x2120cc1ff804fa99, 0x01c4eaf68cd50c30, 0xf3d63dd18c547eab,
0x98b49bafaca46cdc, 0x099191ef087e5545, 0xddd9167c31646df7, 0x55417e531e60c515,
0x0bb2b7e61f5dfd50, 0x9ffd798287e92b16, 0xd2a341d52c7f6aeb, 0x4c1462a5da3e4ce1,
0xa6bdb1b41d3c9224, 0x7e90c77f90059805, 0x06447f59b69919d0, 0x2c5e56261e9da87a,
0xf5e63f4d13f96441, 0x6d991ec2c957e11a, 0x6b402feab2cfbaf2, 0x67412cef64ad2155,
0xc18a1bbb883f29bf, 0x03b6ab1ae6fb62f7, 0xb23835b313cc11c0, 0x5fc27c2d75a5bb69,
0x0803fc11649bbe32, 0xa181d87ffb77a4d8, 0x82321b5b1be382d6, 0xa79904127816e1a6,
0xc67869956a520b51, 0x8606851c143fb46d, 0x3aeedf77f25a0e7f, 0x05623e2e88893acd,
0xba9be34681a00aed, 0x510a7c318915f478, 0x9b61527f1d7f94b3, 0x9c4ead5c347b6281,
0x5af6375f64e16861, 0x7d336bc7695c13d1, 0x4d8e5a85c1bd6c05, 0x4830ca3038a5a314,
0x65b73446240056b1, 0xddfc3dd607ef0270, 0x16f87ce461c68554, 0xaaf43ac6f1476c61,
0xa891dca0e4062659, 0x8732f710ab382b04, 0x25e1d761aee96d87, 0xabd56f434376b5eb,
0x43ccf312ba0ad5c1, 0x808dcba81b1ebd80, 0x249e3bc54ce246a5, 0x684e6d453f524b4f,
0x83e048ce4d1bdcb8, 0xb66553a0f90baedb, 0x910890b413f69024, 0xb2ef70e79c560fb3,
0x6823b6091db9f135, 0x96cc7a0fb8f367a3, 0x65f692a165b834da, 0xe7357c521d500e96,
0x684d5ac71cbf032a, 0xd9a726f0ce3279dc, 0xad34f430047f3e36, 0x1d4e372a2ceed63e,
0xbe4fc281bb82918d, 0xfd5ce0a392151110, 0xd46f2e1af9d76627, 0x0772a938a7378281,
0x76971f49ec497b86, 0xf5a9547f605254a1, 0x32c780dbcf09df39, 0x580bd05ffae7f505,
0xd8db1a102d081647, 0x7e63fd7c0699cfac, 0x4c15a7e5aef41cec, 0xda6840b001aeaf49,
0x2d7e7539a1ac0d53, 0x6709a1ec9f201f96, 0x4779adbaf87dc4f2, 0xc4910409a803bb1f,
0x685a89f09c35b393, 0xe2306a7d3a7c6aa6, 0x7b0a675bcb05e19a, 0xdd1fed233a6fd0a1,
0x90882c06940d9bc3, 0x2ae3c98822de6d03, 0x9be6c1a8fbda82f2, 0xe259032abe46b69d,
0xe1b8d946a284fa8e, 0x93677e4b02cb3596, 0x1f729a4aac5802b4, 0x24ab3dd0ddcf61d0,
0x34dc4891e3578e6f, 0x6e7471a4a2e77333, 0xbc26ba6a02827cd6, 0xfceb2490b6833c87,
0x6434a18937675fff, 0x2306a59b7976a86c, 0xbaef50e7fa55f20b, 0x2bddb7618f4c7e90,
0x4205652fad6ea252, 0x264a2e6aa709916c, 0xa030a2c473d2f71a, 0xf31098854b234ad6,
0x804e7e9f0c4a9dab, 0x382832339273df40, 0xfcc46b0eb1b54cc5, 0xa94cc451abe97a93,
0x8cece7870b88971c, 0x1e0c65caa7355471, 0x6c2264cf60776fb2, 0xeaf5ec18a27dbc7a,
0x36477829fee42bc6, 0x3056362277e6f5dc, 0xb07e5390006c9f5e, 0x9d6aa4bec613d69f,
0x268dd94e8fb79ee6, 0x58afa579f432c409, 0xf5f36134b3b328e8, 0x99447c50341f803f,
0x82828834cdc3add8, 0x7ae4367dce33a745, 0xc85c0cc8651aae9d, 0x15081c914ed15242,
0xdf41a015d2b684ea, 0x9bad6cc1df3997fb, 0x93e10b0ab4068641, 0x8e4d26b88036589e,
0x4c1df3e9bf0cc443, 0x335d7d62bba635c3, 0xd7b39ac67f3a5935, 0x243bbb7233236e29,
0x80465d5e7244e221, 0x23f093893f182ece, 0xc2a2aa79b83975bd, 0x711ae8288a3cdf5b,
0xc959654b62dca92d, 0x408a97d7f15b8cd1, 0x264c96670697c117, 0x63ef135bc7d7532c,
0x37ed42d2731c7ec0, 0x366455125f4c63f7, 0x666f6303c7b1910a, 0x99b2a2f1e8eba822,
0x332842ee8cdad108, 0xb58a2ecfc378d561, 0x69bf4f4a98008521, 0xbff90048249012db,
0xa2e4554d1b9e4a25, 0xbb07ad8f3bf961aa, 0x40af195fc56a3ab7, 0x981307c43341ee4e,
0x21e6eb7706840f90, 0xca7a7303e985a647, 0xf4ab87438f192f41, 0x093e065e3dad6176,
0xf7b929bd821b8464, 0x136d600c36b2b23f, 0xca95afbaa23cef2a, 0xe46211c3fc13d863,
0x360430c9fdfaf387, 0x2edd4fdacc2f6704, 0x245895363cceaade, 0xbfec514249e068be,
0x1d1eaa5789b43591, 0x81a3f10e930f7da9, 0x87c2e797d57b80d6, 0xd7cb8fb719b6ac5d,
0xabeb64a4f08de2c6, 0x389eeb7bdc71c216, 0xa9d1de42e78fc9db, 0xe716c1a768c4391b,
0x825e785d7b4941ea, 0xd1c1007fc6a658fe, 0xca0bfe4d92467c1f, 0x0daf88eb94455bdd,
0xd7288d84279b589b, 0xa5dd65fa9eb77bec, 0x4d0e0d5896729f21, 0x9dfb76e96118c61c,
0xb41181165f4939fd, 0x1541ae11df2e6ef5, 0x515cbbdfb11861e7, 0x54cf610e2cd0189b,
0xe68e58490be5fb81, 0x91566e23c6c0e15d, 0xb5ed267c72127a68, 0x402ff2176df40b2e,
0x14abefb696515907, 0x80d1b3d0f8526cc2, 0xf078f94be5f119a9, 0x57f8219881be23e1,
0x74b8daa4a985e2bd, 0xf9579ffd3a01b100, 0x0337c6c555fc3d43, 0xd3cbc8bbb27c436e,
0xd395e79e10fd7654, 0x3f3f73369153aaff, 0x00415fa2a8938b98, 0xfb8ef65e9907957a,
0xdd8217849f074fa9, 0xdee3e443edee128c, 0x9a43103ae2eefd45, 0x2fc61b2679635213,
0x1b3b701744cac761, 0x387cf8f7acdebcef, 0x306877d49c587760, 0x69115e0c0d900da1,
0x4c23d443d2113f7d, 0x4998c38cf44c7211, 0x7a02cee634de414b, 0xddf010eda93d1dad,
0x2d4256dd0a4763f2, 0x0eaa4afe6f0d38f4, 0x2dcec3fcaca44df0, 0x5fa70aadd027dccd,
0x24267637668b3a26, 0xc30d6cf7147c87f2, 0xbe3d31ec89132555, 0x45d3ed4cb50db47b,
0xad5e6c0a0b985944, 0x8562f4082d0d7388, 0x13bdde9b86f374cb, 0xe10df32ffdfb197e,
0x4a01208d155e03ce, 0xb85730405595415f, 0x76354565b6ccc8fb, 0xb589a6405defb154,
0xb8fc5b0cb8bc029b, 0x04865bf0797fd5e0, 0x59a438ee3bdab029, 0x3b52de9a1cf94cc9,
0xf58ab22ba1d89784, 0x547266c2fbab1853, 0xe15689513baeeed9, 0x4ddf5229d633aca5,
0x38646771ab65b1d1, 0xafbb9bb3ea018b0f, 0xeb56ad2c2d50e8d2, 0x70ecdbbc7ee922a2,
0x227f2bf25fa07344, 0x36fd2aa7ac5d8c4b, 0xc2c14545f0a96fb8, 0x8ce7ebdf46f9f473,
0x9763f8a62f730f7d, 0x11a0e5e06a99c20d, 0xa72c057c92b7530b, 0x35272c86ff82856c,
0x71482c2b95dbb91a, 0x64c469d7e4a1da83, 0x895b31ddf670da00, 0x61dd19f531f5d885,
0x3c02a1d9382b3ef5, 0x4628bbc17b4fe39a, 0xfe9aa810181effab, 0x7cd0922b124bf8fd,
0x3f93894200d40e3a, 0x30d2a6bf3b52538e, 0x0fb14f4cac1e1ffe, 0xb953c821546b2143,
0xdd8b4506149068e6, 0xd57bc5eacb03af1b, 0x45f96d441626cabc, 0x97aa316053e54219,
0x1b4d6d2ef20e9f55, 0x98ad5b306a6a2094, 0x29e4b088df202cf0, 0x510b57b23a97051d,
0x156f2be9295ed207, 0x9f54fdd531b3778b, 0xe70ef32e7ed45e76, 0x468c7348ab182005,
0x7fb1dd47eae3edf8, 0x4a20f621de4a086e, 0x8ec1b6c8210efc16, 0x629f5e3d7ea79c59,
0x837ecabe18b75cb9, 0x0ac2f9f6a116ccb3, 0x70f073ba100d9fa1, 0x1c5a6910476abb97,
0xfb190e79db88578f, 0x2585e6a3eea83575, 0x7993e0b2e8a85816, 0xd7be0787824251e3,
0xe03bde2e1cede8db, 0xce7934868d62b6be, 0x706ecc60842afbfb, 0xe4fa53e5f474b9d8,
0x297cd577bf71458f, 0x4a4ae8469d4bd015, 0x89dedd171e4d6f15, 0xfb4563b3350d2c92,
0x2716d5c1f73ab89e, 0x30e25a3a39dac00f, 0xd879595968ef785c, 0x3ef7788d52aade61,
0x4fab8ad8b94c4fa0, 0x7affd9374f63587c, 0x5adc1438c60fb54c, 0xc0175fa648b7c9f8,
0xe939faf7b1204165, 0xfc6c6aa4dcaae3cc, 0xc7a27c5d484a2ac2, 0xa8b935a322f8e744,
0xf862b34c173cf93b, 0x980a2808ef5e9ecc, 0xe8e65145cf6c4035, 0x75eb874701b88a58,
0x8e2c85045e7f2024, 0x36b069c8f2bda647, 0xd80a239d51d069ef, 0xc5c907ba6799ac3a,
0x3534074c86ea3300, 0x00ecdad887b9ae88, 0x307c5e97b55f2de7, 0x23385bca91fb1a85,
0x48a0cc149bf75c6d, 0x345f59f8074fbf04, 0x5aa0113a1523322e, 0x3a24139cc262ae2d,
0x4c6f1321ccda02dc, 0x9ae78ab74154a2c5, 0xd11642326e2d2c9a, 0x294b84a0ec1177ed,
0xeb2ce1ff386cf5b9, 0x0c5939e52eb3aff4, 0x0a90e4b3cef160d1, 0x800b5da8c86ba6c7,
0x3dfaed35e82f4d30, 0x13a9abafe6b76632, 0x203f6306c3687a14, 0xf49f9699980df042,
0x4f22932970e2c0c1, 0x43f7f6b6b2e794e8, 0xe2954459fbb8b92a, 0x22ece43749bd2884,
0x59ccd7b681884e8c, 0x93111d3f52bfaf66, 0xee4b51712ed8a9cd, 0x3403866299e16e26,
0x787c4918316cc74a, 0xcbbccf7906cc0000, 0xfabc43fe8fea98c0, 0x6baddb48137d5176,
0xd65d27f59ce13144, 0x6ac3f12084f61776, 0x60d9b1c8a1a6ab89, 0x728d2f0646610f4a,
0x4da8c28efa55282d, 0x818b23a8e3210ce5, 0x80f47f197bcb1196, 0xab9da675877fa668,
0xfd8f509188637d3d, 0x88d585a30c4f1703, 0x5ce0fd781c66e7ec, 0xeee4b15d9fcf086e,
0x49554d2149204eaf, 0x659da7d938223f68, 0x44f46a369292e9fd, 0xbc5762993f04e418,
0x273284874a109851, 0x3737ab99a012e255, 0x2da06c53b726d70d, 0x3c7738d1b3b2cb48,
0x9adf781f2213f2f6, 0x5b2b7a06cbff1c6c, 0xb41bfae69e9a9f3b, 0xe30ceacb385567bf,
0x1edc93b08c78e26c, 0xc3afa196f4c051b2, 0xb1994ff603a07713, 0xf26e2e3a6c4fa6b5,
0x857ea2100d3c9b7c, 0x45254d96be94d0b9, 0x4707a9d678a5a777, 0xc534beda0013c7be,
0x5175dc8fa0edede8, 0x974efa8118a30c8f, 0xa4b631773c5ed5cb, 0xb8e606825007bae7,
0xf18b18a6b97c8a54, 0x46f54f955be77492, 0xad9318fd9b2e74b5, 0xe2a4f606744bea4d,
0x19bc6d62f86f27fe, 0x69684cfd957366dc, 0x0fc62f70fd9d1662, 0xcacc9d43d5e28772,
0x7b075f2746355b96, 0xb25e7d1389c0dd77, 0x2e5c66c352d7c963, 0xcc76df5844d61fda,
0x7f7a48ea108b1ddb, 0xe3781c94c62e39cf, 0x3a88189ceb798a26, 0x6c13240ce0db20c2,
0x7cfd7ba68755a879, 0x1ef032f9dee3dc62, 0x5fb8ccda58c5cedc, 0x06eebedc2c016eb5,
0xb1320f7f8f58620a, 0x3d2f3ee3e399afad, 0x5e9292f25a98fbcb, 0x6a731d39e9c14695,
0xc32e2d6db8ad1d81, 0x0451dda8a19cdf3d, 0x08ade497c5caaa57, 0x502ee7a88a098f68,
0x91244eb2fafcdcb8, 0x1706a6ee4e6e1905, 0x439dc2fd8d221d55, 0xc3fb4daa8a667870,
0x6c3d4773da4b71ef, 0xaceeb2355d2c8764, 0x65e31b44972978a9, 0x5203c6b3403d1476,
0x294f985280a75ef0, 0xe0f05d033f3aec7d, 0x3df31c683eeb8e8c, 0x2b7f3ec3ee59ba19,
0xc880257415790c63, 0x246a714b11d6ebde, 0x307ce6213362cb45, 0xad806edac73940df,
0xda796e87178f5289, 0x12c226be6da63315, 0xc97c1710522c697b, 0xd1b01966d04140b0,
0xf6655e1f1d97f72d, 0x5bce31404a447d9a, 0xba4d3914278c2faa, 0x9670838c424ce830,
0x52b5c62cc6ebf634, 0xc43e529e663eed69, 0x547c02f6646cb610, 0x26c1bfbe8aa69b85,
0x1c9739315eae8850, 0x8c49a01368a15cdd, 0xd0e8f187387ef047, 0x03cb7684c0d6dba9,
0x2b0879cef29c7ec1, 0x07d5b417a2eb5a44, 0xc8297b7929d31957, 0x04991b9ba75e2730,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x801c271e7760ec85, 0xa9317a6387a7a094, 0x520750b4cd1399ce, 0xcbc645dac7eee0bf,
0xc4d68b0734f26b66, 0xaa42b0d47a3f3d5d, 0x2de39faa76c0d21a, 0x9938ceea34083e10,
0x0083e12c6a0c51ac, 0xdeadc65894b44bfd, 0xca49a6ceef79a7ba, 0xfb7ebd678c0e36f7,
0x5a0f75fc070875b3, 0x227e99f533e682e4, 0x3bc9852bf551ad9c, 0x94dc4e40ed690fc8,
0xebd8e4f176f926ea, 0xc087a11c407aa178, 0x887bdf9de7565be0, 0xe0107bb51e81df12,
0xb95d477fcd70d71a, 0x80904471f409cc36, 0x0dbb32d4590bdd46, 0x7080bee6624471a7,
0xfd1df16870c5cb5b, 0x6ac49087fbf54857, 0xe40ab6ebeba46040, 0x7fe5386402befd18,
0xc0cac70db6df8b98, 0x4b801585455d24ca, 0x5e15599cc3dc2305, 0xdab3e4a3e9686e15,
0x83535b89d1a88792, 0x74bb1d99e7d7b42d, 0x3381ffab9acaef22, 0x2e035748bf97cdf3,
0x5e424cc9a29d600a, 0x56c48d25a2e2f9b6, 0x11e6c24b7c57f64d, 0x82b63d7c7a225724,
0x3d9297af144f5a93, 0x35cf96d8dcbe2fe9, 0x08bce0dc28fc3d63, 0x8146f953fc8ffd80,
0xfaff0d76f6bbd0fd, 0xe7bfd75363659936, 0x8cfcfeb30dbd4401, 0x417f478acac6e0cf,
0x135cb8046a496905, 0x8d5c60b74c982576, 0xa3903c43f9357b73, 0x4c687bf2484209d7,
0x29aa80595c3c5422, 0xa9511b845f7eb2d8, 0xc102fdb4939a4438, 0x2306699ea83ccde1,
0x6cbc2b983e1e1356, 0x8a1788b60c50bb85, 0x856700d0b3a6e5c4, 0x326db9b3c0404f94,
0xf8a8b9784beb4290, 0xd0d605f7226a5bbe, 0x13188b88bad882c3, 0x80cc3a5cbab6d0dc,
0xeaedfff98a4a86c6, 0x6a7aafb9f4829d14, 0x37506d8da844ab44, 0x9dd17dad6878028e,
0x6c9619c300ed6521, 0x977271bb7ac3030b, 0x7dc0be0affa6c3f1, 0x4b79ba5856a5f181,
0x11a6eb62037e1726, 0x32087e79cd06cdcd, 0x3e2371d5a604a170, 0x936fde062b3bb82b,
0x571d24242bcb5d6c, 0xb5229dd650166f29, 0x1eadebdd04f53b1b, 0x523e4111ce815ced,
0xf14a9f6516e160a8, 0x68d5af443ad0b479, 0xee53cf0d3f337165, 0xe9b4d8cc24708700,
0xde5ed331df5af850, 0x6605a0902bdbf269, 0x70f621a554c0c70c, 0xb8b520b4f7f22732,
0x84f4028582ea3d35, 0x81f8238fdc176fa6, 0xc020ca137b2922b9, 0x85ab53d7c41a1750,
0xb3779c155b5acbfd, 0x89f74b1e9bf1febe, 0x9e99aedd615ef803, 0xb075f5df1359a25e,
0xcba89d5aa007c355, 0x31f018852a6a536e, 0x0b6d968de79c3de7, 0xf204fd6fba23ae36,
0x659c4483a1f56842, 0xe7048f0a742187e5, 0x9f0b8acb091e118c, 0x4281e98cd663b5e1,
0xd966bef81e8c9703, 0x6d36a66a4d0d6ba3, 0xceef2e5814c40d6f, 0x93488666c713b175,
0xd7dcb0d89732cd0e, 0xd7f88074f17064e1, 0x24cc2008d6388a44, 0x42696228cbe00b27,
0x5da1ac82b08861b9, 0xc5cbc0ac8f18fb39, 0xb36fb764a940b85f, 0x840627546374fc07,
0x6417b7f62435b1ce, 0x993fc0b967a23151, 0xb18f0a67180748ef, 0xb578092b7e77c876,
0xa8d2601ec184fd3e, 0xed83db1bc70c3a49, 0x7a4c7e3296545da1, 0x6869c695f4f88657,
0x9ecb4569d08a3a68, 0x6c5378a73f00dfd2, 0x05b4855ad4eb47c4, 0x568b230c0ff47c9e,
0x707163eadf36e9d2, 0xe545bcceaba855c5, 0xbe070296ca521a8b, 0x656e6597d0ad3c26,
0x82249f4726b54220, 0x25d7bf8bc003c402, 0x1dbca96147046985, 0x62ccd5be08b041f0,
0xde3efd885b817e2f, 0x18c59744f7002832, 0xdc5edb93f5b368f0, 0xf04767b1dfb6d04e,
0x20502afe7b38fc79, 0x694df0a5a842089d, 0x1bbdb871220f4bbc, 0x90acfa1af1c08b94,
0x87cf16ad7c9cb2e4, 0x8934cf0a126eb764, 0x7f14dd61cb79cda0, 0x63022932268f9e2f,
0xae8457d58b15b8c3, 0x9bae10e47d4ee327, 0xe41d6a74e2ddae51, 0xab19d62f90d56c48,
0x3f59062a172855ab, 0x3413e1781f474745, 0x05bb12f2c0f34c98, 0x7fe9a13866610a9b,
0x98c117de6b1c1447, 0x8cb31db8f85e2776, 0x7fa266a4b9ea45c3, 0x1e318becef88b641,
0xafbf9038a4aa272f, 0xbbc5ba3de18d6535, 0x6b608f02beb10593, 0x65bf674003a43368,
0xdd9ac75c3cf459e3, 0x0c7aa7cc5179320b, 0x1e7bacd8b8c52186, 0xc214d31edaeb27e4,
0x6e3e1237baf2531b, 0x0be3e2fff1c3cbee, 0xf5eab3703ff565e1, 0x52d1ffcc8ea6d213,
0x018fa2471bfbe9b9, 0xe211607243a0ffbb, 0x5cd09e8cb272fcc2, 0x00e039891daf5f7e,
0xfc81110efca8aeb1, 0x7247e7d90969891d, 0xc60df4302845fc1a, 0xc983ad076c8a8411,
0xb3b189f52cce4043, 0xcd5b07c93f67cd8c, 0x765d81f0c4c595fc, 0x77eb7dd4d2ed83b2,
0x3457057796f912fd, 0x353c7747122bac3e, 0x19afe95b9fad0cc8, 0xf4398cb00b315b6e,
0x570f4a850a1c1bd6, 0xa7acf5534a027bf3, 0x9208a7f04dbc1c5b, 0xb7caf3d84168e7cb,
0xec3b8e3e4819f98c, 0x53de17187b86d985, 0x4f2f4660426222d0, 0x7d7844dd3a934a31,
0x6710d84af7c821f5, 0x2ce48f4b79a06f29, 0xf2af15309c1a6383, 0x3cd204772bacfbde,
0x4e8355f1c49f7953, 0xc1fcedb8e1211c1c, 0xaebd3e6b08f0fa9f, 0x5eac318a0a74ff8b,
0xd0e0d3c8d4061249, 0xc5ec7c0e42614936, 0x1a1042abdbbfb37f, 0x1f90fc92256c1fd7,
0xfda090ced6d764d7, 0xe0d11f9d6995f565, 0xff3be31dd37f82a3, 0x8b50155591069860,
0x3fc5a2611174caf5, 0x6f93b1349e0469f5, 0xe250e357b9c102fb, 0x868509c9a23dfcaa,
0xc31084953a321735, 0xd850265b971488d0, 0x816383c81938ded9, 0x59210f123cf9c713,
0xc33f66ead557a2e9, 0xa558d0a86004c6fa, 0xccd332676294427f, 0x90c72d84934671da,
0x2417a86ce3357267, 0xb5f91da54099ae1f, 0xcdaa8c1e74ee956e, 0xbd9d9b847e8afa4f,
0x561e9a1ba25e8862, 0xc7ea7bd87f600396, 0x0c3e854d064ee3e2, 0x471e60b68bfd33d3,
0x96ed8217de0fe7e2, 0xa80f406568173da3, 0xc4875e346009eb58, 0x98693ec8728dc3ee,
0x343f9e4c69cae886, 0x70cc96a005ca2203, 0x8b6e531e5a8f1bce, 0xf34e5455751b6043,
0xc1f256bd26ed80a2, 0xe4ca10ca16050e6d, 0x7a7596c36c905983, 0x212e6e3efa4a2259,
0xcde182a041db2ff3, 0xef4c89adf7efe659, 0xa0f011e28ef150a6, 0x285085b50a7d9542,
0x3af77b22a8fe128e, 0xe3b44771f46a4d09, 0x7fc4bb0dac7649b6, 0x1c064bd74397d42b,
0x8ba74560d7001cfa, 0x063e822e4d8473b6, 0x494ba670dcb6f415, 0xb6bab3b73e0b4b99,
0x07c49745a0bf8c0b, 0xa34dc14ee78c10d5, 0xbe06a7e1904dd3ee, 0x1037929facb9ea5e,
0xfbd58788639e1c3c, 0xf301d6173d6915b3, 0xac306ee25193ddc3, 0xb2f2f195fe00cc28,
0x653d7089c27e5ca4, 0xdc9cee1a35f56af4, 0x7bee13e3e2f337ae, 0xfc2ea276aefde915,
0x86090e01fc9c1a9d, 0x0a53766ee5970b96, 0x9fc2f875815ffcc6, 0x163d4f8a490f2c40,
0x0b2c410f75d18d37, 0x0e80d686c7601454, 0x2abd8edca1a87738, 0x61412c318ee87d77,
0xf143ad18a09a9f86, 0xd9d81d9b03cd4cf7, 0x7cef6f3947843799, 0x91be54120ff5eab7,
0xb2b26353f693045d, 0x0b4e56f98f13c1d1, 0x391d33169c91ac96, 0x9c01476addf99c1b,
0xad6efcdfd52bd13b, 0x47412f40bf9fa89e, 0xb24cac335f07ba23, 0xbe9340384e6d149d,
0x64952c8361b80745, 0x4d2b58326d1143e7, 0xe0285b6075261014, 0xa731378b287cdbd2,
0x96f55253e34150df, 0xfab883020e987cf4, 0xfc463a95d63a73e5, 0xa26c8deb200ede49,
0xa7cf9dce88667450, 0x52860504cd5c93e5, 0xd87c3d7a45932cd8, 0x433f032dceb0fc6b,
0x875121590716a5bd, 0x4803b55d327d4fe7, 0xb6e6f39e6469e555, 0xa8684dee46960db6,
0x4eed134c0a1f402d, 0xdfd7e4573ec5ce18, 0x9fa8c8a2627d9bbd, 0x617bf2fb3e3f169b,
0xafd991f83e54454d, 0xdc84de07a35e6806, 0xb524da7c3edb37ca, 0x3dcc5c799950adce,
0x96b73fc380cf2abf, 0x078acc97d354748d, 0xf7be1aa7e172ae88, 0x4aa421e56226f386,
0x520a1618bc986407, 0x1d38912202329d2b, 0x10ceb5bcdd43f752, 0x4e0a4b88c8d83adc,
0x3bf741c07e71f718, 0x131dd7a2bfdbb87f, 0x3bee148666ce6840, 0xf90edad8acbd9356,
0x5a50a244e050f905, 0x4b1a9c864414b83d, 0x129050fa897c37b5, 0x6b035b1aeff5aefb,
0x3771fc2e3ec65a19, 0xe424fa7246f4a628, 0xdc19da85a654cef7, 0x225ab3e5c93c4bfd,
0x8b8e97f49c398658, 0x4b1578e17f4bf3b1, 0x110a12aa2e4d47a1, 0xd389d22d4ff9b5c7,
0xa81e689d87f4540f, 0xbbf9bd5159f3994f, 0x458bd33dba5d8397, 0x534740957a701e9b,
0x2bcf063b9990b309, 0x0617f7c7bd9089cd, 0x110d61beb89913d9, 0x8142fd7b63c3aff6,
0xc6bb3438a85a4c18, 0xd1dba4afac7b46db, 0x839908a8bbc3a88f, 0x2bb12cb33d8c5b0c,
0x28d6cf03f86430db, 0xa557d5cd203f72c5, 0x8c575d8a0b394b08, 0xff61e6eaa72cbb99,
0x09bd093eada6c6f5, 0xb7377a1f3cf6f67e, 0xd558221107427496, 0x592b31e4d29a75d9,
0x20d295b1963610ae, 0x08a4ffee12ed8fa7, 0xb86ed87ba9af012f, 0xcbccfcf501609504,
0x8e741e681d0a1af3, 0x4b995cba014dad68, 0xed3d914714a001bd, 0xff44f2a6690e66a4,
0x62306cf9322008cb, 0xc3fafaa2e01344df, 0x94d6da4ea7475710, 0x0860dcb584394991,
0x0ab4e583303e1723, 0x69e449bc973e9164, 0x21bdd58a35e582fe, 0x0b5b30a5fe7d78ae,
0x7a5c23dc865d07d7, 0x3a0f5c2593bf0d92, 0x93d406d674297a2b, 0xa38a98664ed99e03,
0x87ffa5989a6896c3, 0x2ed5f62e9ea813d3, 0x8cd0b84dbd68c775, 0x7809069a33b28712,
0x8466bbcd4413bb35, 0xe388324510467f5b, 0x25b955787bbde7c4, 0x75c27a6c60c461c0,
0x3b8166432171549b, 0x3a823205668aba47, 0x36c293e582ff04b2, 0x264385f202952d87,
0xfaab9340864e5c7e, 0x6d889d48e7f4e9c1, 0x8900259ac79f5222, 0xb547b653c88d6149,
0xd6afdcd3897edfda, 0xe0f05f188bc9f655, 0xb13ce1f9db944da3, 0x87ccd90e72541b7d,
0xc4f26039c63541e9, 0x02522c719f731706, 0xb4ffb8102d74a0c2, 0x2f84055a785f2326,
0x29f01817e165ba0a, 0x39c495ee91ceb5b0, 0xd05a01ae7909a649, 0x1a1bb475c1c81462,
0x7c74bc001ba89d2a, 0x84f5eed2799549ef, 0x4b4891ab4ff50c82, 0x7c89ff42f33bc5b8,
0x2e5733a2b9f479b1, 0xe4ca58a6a18eff3c, 0xc770e23326aa05f1, 0x907e56fc1f9dcd22,
0x8d62690c91367bce, 0x34ab1f13d58af911, 0xdbea5abe5cd0b816, 0x573d7096d5f52619,
0x3eba638c69cc6586, 0x10fef37c1ca2e36e, 0x1259ff3417dc0789, 0x9f1247833f666b93,
0xd425788e8ac8e18f, 0x913a1cb7130b48a7, 0xaeb3ddd2e8f21e3f, 0x8c5bfbf8e5c0a598,
0x033484b783f30b83, 0x22698d990b374556, 0x52e2e7105d2f3ab3, 0x64190954c06b25ef,
0x3e440b92e777dd21, 0xf9acb64cf302f6c2, 0x35a20cc8f356ce7c, 0x7df5171bec201407,
0x7da508199981e454, 0xa1ec54120d410a2f, 0x339bb539a1750e19, 0xf8850620faa02fa8,
0xe3714747038bbd48, 0x46a842b4bf3f0d5c, 0x1b3e57f6cac51921, 0xcc5beb16db336af2,
0xc86f751325d07547, 0x15399118652c8725, 0x37fc1bd5a9eff988, 0x6fbff63ae0a20136,
0xda6ef7d1e983ec66, 0x44e6b7a75666e745, 0x2dfcc47fd4cb7094, 0x0400478c07bc04fc,
0x109984dbf506d4b5, 0x9044cf0ed0174bc1, 0x0440099246bc3ad4, 0xf0cf29f287278527,
0xc65b53c18d85a65f, 0x0961ec15f81ee12c, 0x6dbbb4380a26a235, 0xae5c1761a61bdd6c,
0x755e3b1630f34aa5, 0xb867374f0df468c1, 0xba16b2309f3e1ce7, 0x3ee62d136ee53d27,
0x1fedf6d83176aa3a, 0xd51876c98a6f5771, 0x8d980a8ecfcc6af2, 0xd34206b5a061378d,
0x86dcd9866f98b08e, 0xced6def3b2d4500b, 0xdc77e739018b80db, 0x16c88fca00d9200a,
0x9f75aea1aba9256d, 0x172cd9e704c0af91, 0xea475961bdb03480, 0xebd93dbd622eccf3,
0xe26bd41b28eaf120, 0x2180345482630955, 0x6afa80fece323eb4, 0xe25c89dff6d2ea21,
0xce7934bc6a3aa6ad, 0x263814f9dd35999d, 0xc8ef558fc1240120, 0x7a5f27db9737987a,
0xde981cc7e21695d8, 0x3129bd5505e8ce4b, 0xfae92b71673212f7, 0xb20496404d6e5c9e,
0xe2b8f73728358c66, 0x2f33ef89062feb01, 0x3e56665ac9d6b54e, 0x8e51e86d9d72c4ed,
0x45ff92456332cff0, 0xfeb563ee1e3c873c, 0x50bad587d42b749e, 0xd6a15371501d7081,
0x19508a14f85f29b1, 0x74f0f985c8aef013, 0x46a779120204c6c0, 0xca00627addb31111,
0x3b50e7231ba0acfc, 0xb1ac10744a392550, 0x6165fb05e9b2adb0, 0x29ee771c760735d1,
0x1f6229b0efb15179, 0x378c982cad71217b, 0x09b9f9a9b5d9aa0b, 0x87730ca8f2fbef4d,
0x6abd36334bdf9306, 0x8d7c2423e05c88f7, 0x53f6c0a6d64ac0bf, 0x329cd7a3b84adbb9,
0x40235aee38bce5f6, 0x529bdbdd5e74d45f, 0xe0929b3e013a7a96, 0x7fa92cc321f99afe,
0x47f3fcb6df5b2ae3, 0xadc9c92d3cfeda33, 0xa066ed40bd648fae, 0x0be1af2c320bd8c0,
0xfbe10effade36b6b, 0x1b76f6727a759aa6, 0x580e252687431546, 0x203ae67bd15a9c98,
0x2fda7132c1ef2906, 0x3099644e33e3e357, 0xec9d605a50861234, 0xd15d5c155537366c,
0x33435ec10b85858a, 0x3ada635a9b080c26, 0xf3daee34226fbadc, 0x4169ce251eca04ae,
0xdfd9dbd01ae1ab55, 0x8286f7c1c03c0ad0, 0x48373008c65b2a1b, 0xb3bcce22b638eb9d,
0x09fcbfb2e2f722b0, 0xbff9d93aeb68c885, 0x50158c31924e47b8, 0xdf45e27734c91512,
0x776c0814dade5516, 0x7db74e0618a9719e, 0xdc87aa046837e9de, 0x472ba09c24871f8c,
0x2277ff1f5d5e63b7, 0xcf54b92bc186fe08, 0xf299681617929875, 0xc3ed1361d1da3d5c,
0xf53156800386f2e9, 0x8d5d5a1c697e9f1e, 0x749c5cc0ea0df5b9, 0x7309dd3831f0de8b,
0x417c2e6d818a7bce, 0xc69d54c9c8ae0632, 0x273c297c50004193, 0xed2a2f085888bc8c,
0x395520913bffc09b, 0x3eed80d0f50c3048, 0x25b9099f2fda0e92, 0x6e36f9a521b7eae7,
0x0dd3be978dfbceff, 0x5f0f64f8bb1991d1, 0x4e56d18b58bc7d98, 0x379868a8ec621302,
0x26391fd3442a9989, 0xdc09c1617c295986, 0x301d690cfdac4dde, 0x5f73bbe01aac5d93,
0xfa1d13edfc5b2ae8, 0xc48de27e576bfdeb, 0x66705d34b617f976, 0xe7001a9cabf8447e,
0x1fb75d41de6598e7, 0x20a3dd4c53d71bbc, 0x3b0b5e12293ce057, 0x4add38f98989f5f7,
0x7cc9beea66794cd2, 0xcd9b5ee7bec63649, 0x22464ceb180b9aa7, 0x5feab28127b2d474,
0x45e2c29d030a55a7, 0x28a3bb0b4a01ef1a, 0x4c827ea69a951eaa, 0x230a7f2275c4d7cc,
0x248bd6136811f6de, 0x3686339bc9bba600, 0xc6f049640a7e2279, 0xc4c82adfdc05b2e5,
0x1a92cd8e300fd810, 0xd963dbc752e66e72, 0xab6213eec4e484fd, 0x625d6c18e0842db6,
0x8231fc966fb9dddf, 0x7a335f0cd0bde9d1, 0x5958a7f218b545aa, 0x9bef1b58614e962d,
0x5e6cbd175b72f0d8, 0xd9b5c67689142bd3, 0x30db97a59d952a7c, 0x76c682147f4ecc23,
0xbf94b3e33f2fa069, 0x0782a62a5295fcbe, 0x4c13c22294676139, 0xe951b830ac104a75,
0x9f239a1b3b905a94, 0x068301fb5f36cee4, 0xd72d66df3119e0c3, 0x5d96df06fa1d4b8a,
0x863493dc5857f51d, 0x8c69467176f3d612, 0x5a66b5ff5bd73dab, 0xb8a965f931e7fe6c,
0xb210a1fd24961b3b, 0xa63b6c125fe69945, 0x6206b098675c14f6, 0x99f82a0a3c2a1594,
0x441bd372dc231074, 0x474c18cac4394d6a, 0xfa79786e7b691b7a, 0xc96d8147f3f21693,
0xd642484c754e3abc, 0x18e53d06671cae01, 0xc948aafbbc419aa1, 0x43463e4d8ad9f102,
0x78ae9be8905e5d8b, 0x9438264fa598b545, 0xb54762bc69a8b53a, 0x73f5e1c7304bfb6a,
0x9a7c9e7500eb2303, 0x82b21eb66f7e3114, 0xc89311ff5429aecb, 0x04540d61fdcfd68f,
0x0e687e812899afd5, 0x1edc4760d7d29274, 0xc9a2ec79dfc1b6a6, 0x808910d1e64bf954,
0x0cf017773c366a0b, 0x33b512aa4f45ac82, 0xe7a3898e1450ccb4, 0xde10ebeb9d600f47,
0x452bc4a1cc1931d7, 0xc4f8c33a2ba7cd9f, 0x680abf39fb259d30, 0x2ff5411005ca3d83,
0x28ad488b36e4f7fc, 0xf32a0490438764a5, 0xc96b02cddfbb9826, 0xc4f46927e5734f46,
0x5b5587b52aa68d89, 0x7300f8700f901ea5, 0x94365730fce49a3f, 0xbea377678daaf17f,
0x6c6b19d6a3e81017, 0x987360e366328761, 0xef33dda5cd54f4ca, 0x257a04cdeb3639bd,
0xb7003e018652ede2, 0xa10105f8f7d9cbe9, 0x7717a158347b73ed, 0x12392b607dcafaec,
0xfe7146542d8de310, 0xfdaf79533f8aad37, 0x6799d6c0e34bcae3, 0x0bb8bb4af76c2deb,
0x2e9e21904cccc003, 0x1316143a18046be3, 0x908ab828987f2f14, 0xa00ce308c1224dec,
0x6e24e678db7357b4, 0xdd2d8478a942efd3, 0x5bb3c38cfeb78389, 0x34fafb46b3574009,
0x66d06c7720ca007a, 0x4d0e8d4c4b5c805d, 0xa55595eb32ddd2e8, 0x7dc0cfc18f9c5e61,
0xd166f00c6508ecd5, 0x2b2d5f9512df613e, 0x56ef13345a471148, 0x4da4517efc823011,
0x8e53fdd527170d8a, 0x72a480e08de8729b, 0x3aebc0d716bab895, 0xca2ac40cc90fd573,
0xa46d3f679a56eb6d, 0xfb71952e3c2af8ef, 0xf1ae5ea3cea789ca, 0x6e5520149af38cad,
0x06cd44ac96246581, 0xd58a1082669eb147, 0x7791071bc345eb2f, 0x1fb37536a562b04b,
0xa0c77cbfb68d50d8, 0x6835846de1c9eb79, 0x1c10f1b85e836c53, 0x4e5a6fac2ae4fbf4,
0xcbea171f48e79989, 0xb8685330695139fe, 0x14985504b498ca34, 0x9a5a11c74c6e8c54,
0x7f09c543205f0002, 0xfed94fc034159367, 0x43d880d95b61c2b0, 0x9230cc07c96cb9c8,
0x342cdd7459da425c, 0x32b4197eb933ee08, 0x28fcf27efff09b89, 0xa220b1eadd974b70,
0x838812b638aabb32, 0x8e3a37348b3fb4d6, 0x0c35a4b39654b654, 0xa9a1eb64d8173a2f,
0x2ac377ac64aed9ba, 0x3347ec252311c9e2, 0xb3382258e77236e5, 0xe072bfb48557edff,
0xa5df62b59c594627, 0xadaa3c35bfa86bbd, 0x050ac640e852ddcf, 0xdba35b9b79b5fcad,
0x9ce7bcc219bcb7bc, 0xb295e0bfe3c1edf6, 0xa2f5f402b2dd57b5, 0xaa3202932e2186d9,
0xf8c6ca1cde13e4a1, 0x1252d584a0265b4f, 0x3b2cf48bd7b521f4, 0x7a06b32bc4122e54,
0xd012909a2daea6f5, 0x7bdf7e5da331f9bc, 0xff1927e7e1230da4, 0x7747f4e7414b814b,
0x6708cf474a52e781, 0x5523956705f3261a, 0x035a77f43cec317a, 0xf75c1e79856955d2,
0x351cc7cfbd592f70, 0xeb5db1943e8b940e, 0x209e79b715e9700a, 0x27e29b356aca1fb1,
0x4bd7ca2ec64a05ab, 0xbe41375e0bbc294c, 0x1d70f15f9abe25ca, 0x30d0b1e74678bd69,
0xeb471cdedd77695f, 0x4760e450a6c66968, 0x6d9162272ef2c297, 0xac921106513423a2,
0x9b2f16392ac09ed3, 0x37e739f111cbe42b, 0x6143d85026de83a7, 0xf7270f1126030471,
0x26690424713ff5f6, 0xe957a81e9a84ee4c, 0x698a9e98d6b98ce7, 0xb9b983da4c2d45a6,
0x958d8bfe275777a5, 0x82dc33c3d6baad37, 0xcc037786296886a2, 0x475fa6058d42c976,
0x4dd874421124f333, 0xd723862290301623, 0x379e5111f5bf9046, 0xee84a1db6e690dd9,
0x7a3e286c84a854ae, 0x57c81a25c49515a9, 0xd63afd2743073fb7, 0x612f5111658c7daa,
0x8b9df687ae7b6b48, 0x86f05d4dd543e18e, 0x774bc579ff6b6405, 0xfe45708eb1a6ccb0,
0xa5d4e4364ef9c041, 0x04c88fbb1aa9c547, 0xd0e4bf7c8d39e62c, 0x41f860fbe8fce06a,
0x2de83ccbfd1ac094, 0xc3ce2f80e0fce8e9, 0x86ed9b1a0c8def0b, 0x116e0144426adfb8,
0xfd78921be5167fd5, 0xcd83d92b52136cdc, 0xabfad61c1539352f, 0x3e4cd550df4043f8,
0x5754cfb87bd4f227, 0x2c24b4ec109bcad3, 0xa1dd0710b71ea5a6, 0x43e638a5f818fecd,
0x12f318e7df523095, 0x33f7a07a7c723304, 0x2635a30153ae275d, 0x37c7df094a48d164,
0xa8d6c8f952858308, 0x7f4623a6053b2556, 0x0dd25ae2a758fb51, 0x1d469fe8a5bde333,
0x6763d1c9618f39dd, 0x041bec6279c756b0, 0x7a741d8733805fe8, 0x4d70defd6b327324,
0x88c065a17ad19c3c, 0x24ed0da3a5edc777, 0xaf5e60604c85b16e, 0x65f88eb2a454f6fa,
0xb13574b2d728ef34, 0x60c9bc022368155f, 0x0d9bca5081e50bf2, 0x610485d31289b338,
0x397e225f601bb365, 0xbd1aa086053a48be, 0xf4572d22db8f125b, 0x4aad485f7aac325c,
0xcf276d52ddc33b55, 0x637bcf12ed43fe58, 0xaaa35161486f1b86, 0xf5ac5165e47df597,
0x0da32536b5e5c35a, 0x0ff43cff5de2a856, 0x872e23dd3f25435f, 0xa303a8f7b2697030,
0x8934848e9d8fec01, 0xdcbe55dbc5eb13c4, 0xb1f412461b133130, 0x66f665175f207669,
0x0678c27358912884, 0x4de84690f1312d37, 0xad88091c91f53094, 0x429a22c72a2a488d,
0xb3a4122829259000, 0x002f99695410243b, 0xffdc89e0ab42822c, 0x08c94a3a89d895df,
0x063b74450488a225, 0x1730c89ef2f3de37, 0xf0c1f0f99550778d, 0x454db280618eea7e,
0x787deb2187ba379d, 0xfde199c7d7eec3b5, 0x09649f3da517d5db, 0x2fb9e6e4e51d5516,
0xf2c97f9d3eb6c6c5, 0xe2fb63af84d5a623, 0x9fbda64c6baa62a2, 0xced24060270e75af,
0x70cc2f97b7558f74, 0xf08d621c66630cf7, 0x3600fc580309138c, 0x50245e7c2236c75f,
0xcc74a3ff00906ecb, 0x482b1a4de69b4a39, 0x6ba59e50f4c19a87, 0xebddec17fd4939e3,
0x363600ddc796d9e5, 0xaae7d65a334c1678, 0x4ee0028825c61b6f, 0x144793541f59a194,
0xfa61931e11726228, 0x19d42d170c4eac15, 0xddf5b943c269b683, 0x8a3fb2e8a4af6c1f,
0x9e06ff8c378712d3, 0x0a64f84f4cb296e8, 0xf0b946488100011b, 0xa2f24aed45e4033a,
0x060d6c531f4fa9da, 0x0dcdcca148160e2e, 0x7b15fdc0e51c056e, 0x8571c8893169662b,
0xebdca8961db24d92, 0x592dfcaf7ae4d2cc, 0x453df6cc16dccdcf, 0xe0e4c14eabd00b9b,
0x30e174c27ddac36b, 0xacd1b94f0a59c9e8, 0xe58b3c59fa53ff33, 0x5fbf90292afb7c92,
0xab25d318867b753e, 0x2c3c121c9f5219c0, 0xa03e51efcba647b8, 0x538764f41e2bd44b,
0xffa2883817f3e65a, 0x1dfd469cf7f0d3fa, 0xa73aa154a882e76e, 0xca4e32f72a101a58,
0x84705f46b57d38d1, 0x6779821636393ab9, 0x241f6bf6246a91c6, 0x6c919a90dfd6b402,
0x523f289e909d90d1, 0xcfa7170f9a779f7c, 0x5809befbc232c78b, 0x2313fec016554c73,
0xd44b7f39b8b4149c, 0x76420e0d84c7d8e0, 0xa9f52f04db9045b9, 0xbee49bb2a137a8cc,
0x59e2ed92623a86e2, 0x43f6b5ffc7c67e4c, 0x835a3c38e8d34b17, 0x1a2f600c8211912a,
0x87ea59d910626e7d, 0x031990ad6f95c7a6, 0x50501101fb6f57c9, 0xa7415b33eaf73746,
0x91a2bd5712227951, 0x864ea8083ca1cc96, 0xc6ff13e16598819d, 0x4f5d6fa10ab62f67,
0x42cfab2790418130, 0x24b17b76bae4fe40, 0xa602eb62474a626d, 0xe424a91b2c023212,
0x0d009a5d28175fee, 0xdf4bdbde09ed8f18, 0xe8062ad2f530d710, 0x6a175a1ad4f8eb59,
0xade5db9504791e41, 0xf3de46739a868e3b, 0xb9218e693ae35116, 0x55d5c03b6b44aa63,
0x62538d876da70dac, 0x8258bd53598bca63, 0x61e5d9970dc18902, 0x9bd7437e106e5908,
0x2600057796ad5ada, 0x9e92d79f24ffd81c, 0xc6255ea184b4f129, 0x7fea5339a1b5c6a8,
0x98b1e237f2cd6ab4, 0x44bfc24bea0dfebe, 0x310c92f4472c9afa, 0xc13672b884667927,
0x1a19e9a878735364, 0xe626fe223a731e41, 0xa71e30710daae338, 0xea56117241f53416,
0x4df1b81b833bca9a, 0x1a833c73b68db9c5, 0xc40118ee55ac2bf0, 0xb569ad6d9fd4d209,
0x1c46476562b2334b, 0x9824ecf42f735560, 0xa8396b244e7be945, 0xf659aa22d2aec99e,
0x032a375c2f764cc5, 0xe99222b7d5fd6609, 0x8af2b9338f51dfe1, 0xdc14cd6a9cf9182e,
0xc2aac8a5fd198d63, 0x11520c8a1d7b42fa, 0x4f5c957aee98ba2b, 0xf8c73221ec3056d2,
0x863ae3fcd4926155, 0xdfa1d3551bde5a0e, 0xe7ccd7cc5159743f, 0xfff12d0cda6e8215,
0xa4123a90279ae8b1, 0x8c188230a016c60c, 0xa36d77d73b89772e, 0x58e28b702e0fee8b,
0xd1abfa4e92028f34, 0x1d92d71df471f4b8, 0xeedeb23f952c8bdf, 0xa9110a198c3f0aa4,
0x63ae1f52441530c5, 0x063f04d37e85a8ee, 0xd38a5441fbe5d452, 0xae240924ec5617b6,
0xe96cf335e8968a36, 0x65a76bd10aa4298f, 0x4b58e24f57236a44, 0x7ecb4af94882339b,
0xcaa7d4b52545f79c, 0x8d4adb8a0e6a8593, 0x99311288301c0d8e, 0x621496bb3f558f0f,
0xa6b390072cb8f3b2, 0x9e9ec60586486e9f, 0xda2cf64ba06ee61a, 0xf0df488a0f065f61,
0x9d6d2eb6acd75845, 0xb19b59801bec0938, 0x935f1ebc7af8cab9, 0xc82533ad41af0c33,
0x317ef2b08867d1eb, 0xc09e3b6abf8ae567, 0x05ba1f408101d52f, 0xc3a0fb61de785a66,
0x27313066704697bc, 0xfb7e7c218d400da7, 0x5da9da2ee881f599, 0xac9e0f8d72b31399,
0xeff3c69fde28739a, 0xeb87b4b643590737, 0x45826f833feddc0b, 0x9dcaa555d756a8b5,
0xa18d387235d3b972, 0xf2a8790ef300f856, 0x4dfef664672e214a, 0xd4febea00eef6475,
0x9a97c7d97ac67707, 0xfb3f5e2d15d3d9f8, 0xe52754c8da1677bb, 0x43e36f42ccaa4933,
0x9613d6d82e183609, 0xb6835fca18c1ce9c, 0x7bd7ef4d73b8d9f9, 0x6d00b20b29962b07,
0x5e3cca4a840d0717, 0x659cdfaf7882c9fc, 0xdba27789f4758c32, 0xe8d0398ae794ebb1,
0xb9c4d1a94dc4adda, 0x861f452c6552ed27, 0x820360b94da62afb, 0x8115f483cb399862,
0x237884e299398899, 0x33de616ba36f5232, 0x8a49c6e6e6dac91c, 0x852a28316d07e48e,
0xa042ecc71f823cd1, 0xe81facf64860d209, 0x5ba68b6b4f32a1e4, 0xc99102cb20c610c9,
0x1126ece1b950e891, 0xbf149ada30137605, 0x52381e330f946f93, 0x95132a0e38acf477,
0x7fd1c98b811bde3a, 0xddf18b3542ea4c9b, 0x802db7c1feee204e, 0x245775138833095e,
0x40ff552ac4bc5d32, 0x0cdfda4b0638bba2, 0xa606d196cbb8c694, 0xd9d95fcdff5f7451,
0x8b5557d6533b69a6, 0x8e88f9850cc2f852, 0x684a9e695b242115, 0x4876b7d3347a81f8,
0xcbafb295bee2b83f, 0x0a5484a1c7780fcf, 0x379a84716b85f9c4, 0x5c3635f9756d00ac,
0xd24deca07b61797a, 0xccd37c60cc9e3e8a, 0x94a31d31fc2789f7, 0x8214df5b2bbd2f68,
0x6254213323cab4e5, 0x94be7e8dff8e5634, 0xbe1bd0b7871af504, 0x240c21bf719f816f,
0x01c3c63066908fb3, 0x1d9e0ccef998da12, 0x5f766521e12bce37, 0xb270c10142ecfa23,
0x014e0f358be85d68, 0x54f2b42c59fe38c0, 0xc24b58e3a51e7da1, 0x30592effa54aa2de,
0x4143d2f2ad13d11a, 0xc1ded44911227f5e, 0x1fa501b45c6a370c, 0xfe8cd4bdf58908af,
0x795f0aef03db7b7e, 0x94c58119d9e05de1, 0x06e5834300d7b908, 0xc824aa02f4fa9a03,
0x7268ffd3c9b4c154, 0x55098bb851a26978, 0x0b6cd048964279b0, 0x78f9250b5cb5b86d,
0xbe0bc33281e04428, 0xa3b4c7292a9637d5, 0xe5bd5144205fee15, 0xb999f068bde150bc,
0x731695a867103c9b, 0x4c5dedda2a413479, 0x19860c4c68cf56db, 0x10613609c0e7ef69,
0x28b6782fc15876cc, 0xe167c7892707727f, 0xcbdc49ef9d4aed08, 0x7aaf5d233ad39d1c,
0xba1a083965d2a7a9, 0x7233a9b59210d680, 0x9868e5deaa900af7, 0xfffe4e1b775f163b,
0xd5b11cc522bc04a3, 0x675d09684778a5d6, 0xf7f6fa6de487cf75, 0x700153765f780edf,
0x5463ce19cff4f6d8, 0x3e00c8bf52f800b5, 0xb5b968ab19460284, 0xa26ebbe50f7bb10d,
0x0ca3a0a275b9894a, 0xef81eaaa40281ebb, 0xc47ffb9125125c63, 0xd9ae3b433f7b0852,
0x6ecbde3e063ecd03, 0x2caf0e1e1f13b480, 0x8637378dbc3f8ae7, 0xfcd393580ea5f21b,
0xb9aab423906d70f4, 0x9ca2c07ef99df892, 0xf52843628826fd30, 0xaba37ed84ba81250,
0x43d56fba2a12d0f4, 0xa3617a11a6973362, 0x380b8b016da5c85d, 0xb4a2e1ddc5d5f348,
0x2a1a903ac4c79209, 0x3035042671bc6454, 0x03555c165408e963, 0x154c97f28413db39,
0xd6d50dee18186c78, 0xa6e5dfa031222c0d, 0x3aed9b26e827673c, 0x64a6f8f56f2db5fb,
0x889a7fa8d0f04dcb, 0xb8f4e5cf13109b35, 0x1e63f37590369cef, 0x559fa563efb5ca3f,
0x9aa15574406f0536, 0x4910b6462567d60d, 0x666eab8030bf51b6, 0x478c428ba59e8b51,
0x6b385f255d12ed39, 0xaf97b8d21d1c242f, 0xd6b9f9426574b3ed, 0x5490ff7f4159cda1,
0x1ed0fb9337e39679, 0xae5fe635e1458915, 0xc0c8610cf6ccf6ea, 0x338268ac72c33b40,
0xfa6b4a1f79eaa19a, 0xc94a08daa8b626f5, 0x330a64fec8dfd1c9, 0xcee9885dde949eeb,
0x6c7a90b78545cf2f, 0x8c361abf391bd857, 0x8b2d258c91707521, 0xd1251b7eb6c92cd5,
0xe18cb1350fe9e506, 0x3c6f264c64e021e6, 0xa904d9fcf9e98505, 0xe2f3179398d9e255,
0x41fc05718e0efdca, 0x18694512f11e6f5c, 0x796d7d6de3c56cce, 0x8750c809f3187256,
0x27b1ffe3b720d5a6, 0x549f16728cf85624, 0xf1e46a57f86fc22a, 0x2aa19c51650117bb,
0x6ebb3384994de433, 0x8013e7b71d225d4a, 0x98f71e1ecb1d7e05, 0x5d3a68e0d70dd717,
0x1016dd44033e6e58, 0x45655a280dd2ffc0, 0xac445c188cb83fa5, 0xee8794bf6e86eea5,
0xe0b701793960373d, 0x0b5ea77784410900, 0xa559e735132de5aa, 0xf500e32b260c885a,
0xb1e8576c036a135a, 0xccd8a322cb9b5454, 0x9c08dee4318a6c7e, 0x9c66212d00c5ed65,
0xfaa161b2f0d8a84e, 0xd661eafe830a544e, 0xb2fbe19e4a001e57, 0xc69ddc3849e5a8ce,
0x0202a97a4550a1cd, 0xbb5201ab15502834, 0xcc024394d4c14584, 0x41011d88f2574bee,
0x6643243206eed0e6, 0x11556256cafd8582, 0x70f8253dec0926bf, 0xe8471cd32cc6c2ba,
0x10e92be519994072, 0xa804e4eca3282925, 0x3504ccb577bc7866, 0x9578d853e6ab1234,
0x1baa928dfd2a1894, 0x0543d2f849ac5c03, 0x251f607478d7e630, 0x39522e3fa80f8d35,
0x018851a699b8154a, 0x00a01a798478e8e2, 0x4364dc7af98d9beb, 0xa20d40c41cba6f59,
0x5cc492bd0042692c, 0xecbf19fce779da87, 0xff74a5fdf5b8acb6, 0x31f86a5c6add803e,
0xda9e08a088049e35, 0x5587aff23b2058be, 0x14cb4446f2d1c3d1, 0x4671dc16e06bb9a2,
0xda2538d25708e607, 0x909f4e64bbe4f9f6, 0xfd972f9b74acb689, 0xee5c9af65935af84,
0xe6e1785416c52875, 0x5d02fc7e10041ffb, 0xae1673cb2a647c3a, 0xe1fe785a4c0b0ad4,
0x083a329b97d0baf0, 0x23264b5a053a2ae5, 0x043cd21d02a08b4a, 0x706962b35833d46f,
0x8abdf4b88ee771f3, 0xcb69e30641684dcb, 0x730daab85ccd3253, 0x30dc6048d99e65d3,
0xe7874e20649af92b, 0xe396d9ca45aea0ae, 0x75250cd13887dad4, 0xc89d2dd53ec7465f,
0x4f399644b67db281, 0x4ac371648c34c3da, 0xd857f45288b347e0, 0xea3ba39c166ae08e,
0x3859af1f086cd7f3, 0x8293a3c9d61a3fe7, 0x3e7b025fa147730e, 0x224737783a94211c,
0x32cb4a211cf7972f, 0x4276f35837e10451, 0xe052dadd1e347823, 0x85a1a94f1098c375,
0x0827e7e5e855019a, 0x833080395f045293, 0x5e2e70b19bd1c5a7, 0xeb1097f7683526cc,
0xc86ecefa804337ef, 0x4bde63709aadc777, 0x22a684087e4a8010, 0x0f8695cb99ca5e01,
0x1e560d8b67f7bc74, 0xefe51845ba56e760, 0xd030f86ed9ee6ad8, 0x2ee42f15b048b3cc,
0x3fd00c265c84f2f4, 0x85d4627a151bea4c, 0x3a6f606a482f1859, 0xd2e3fa4f1cf5b0f1,
0x716849a30aede00d, 0x08b19859432b9752, 0xaabdd1ed72739964, 0xbc4daceec4df66dc,
0x6b831158978777ac, 0x8328d232ba98a4a6, 0xb7f8f781388b7de4, 0x2c14cadf52e0388a,
0xd2266b6da5a1683f, 0xfb0e7886b1fa2b99, 0xe2da049dc11f10c3, 0x0d43c3d03eda76d0,
0x33e15a035ac05914, 0x2c19b3adc49c9176, 0x75185435bf9e2a5b, 0xcf281166491aba61,
0x00ca1f0aefeef585, 0x1745814208184064, 0x451ba9f6b4f49551, 0x638cd6654f397015,
0x0212ced2ce4c98eb, 0xbc05e6d2b2708cdf, 0x19c1f2140d929467, 0x3203eadda12e3174,
0x6f67ef9cf81497f5, 0x9e402adeb5f1457e, 0x454b53629e60af41, 0x8023cf7104e9933e,
0x36def0cc437a53e3, 0x8458074605a77a48, 0x77f87ba28e26b8c5, 0x3d542cc239167542,
0x31be47f87d56c70f, 0x726f8c81e2c7f4dc, 0xafc7a0d93c66af34, 0xb61f0b62253e2d3f,
0xbd773fa717890681, 0x40138543ce601c2d, 0xcf73e06624188758, 0x391dc28fc9ff2f4c,
0x922a4f626675a851, 0x569478df62af0ddf, 0x89a7d06f32a02059, 0x625f2b869ced41c6,
0xe1c1ff7d11d3cde1, 0xa9d48a4810e5c51a, 0x3c134a91e675bfa9, 0x09d8c7ed98218c47,
0x12194e8028971e69, 0x55603e2de2ffb98b, 0xa925cc47c9928d9a, 0x80f9848802d50eb1,
0x2c6ecfc2540cd507, 0xf2487cea7b1498d5, 0x66ba7bb95700ead9, 0x521d45543be69284,
0x2d8d3561e66f22a1, 0x591e96366b295a83, 0x81a1ff8a05a7e5b2, 0x028ec9d94da3609b,
0x28ac6c61fc61bfd9, 0x8250708c4ef07485, 0xc8125f1ab284b359, 0x13e6952a62e7bbde,
0x623c56de1fd89c9d, 0x4e20acc54aaed848, 0x4ef457dbf0efecf5, 0x41e38ef446680dda,
0x6197eb1528b376db, 0x13b39482fde8d77e, 0x109750a3314c391c, 0x9c70b0ce5f5ec51b,
0xf453be341849e91b, 0xb8396b449edb9546, 0x0022e468baf82338, 0xad9ee0903f4929e3,
0x5ec1234cb41517a5, 0xd141db281f004390, 0xc15625feef7ec18a, 0xa90066e00ea03aa8,
0x1e047bd6711613e2, 0xd793c2026c0f2e60, 0x7abf117905229c8e, 0x226a709515315f70,
0x5f9684d3c3612a1e, 0x562a30fb77554921, 0x97ead97b7b7e6b22, 0xe5cff3adda1cd02b,
0x655f1af80fa15186, 0x7345face5c4482e2, 0x180c9c070c3ca83b, 0x1b658d13d49f8ac3,
0xab58549b16a3887f, 0xa73ae60ffef6fa1d, 0x04115aff4d29c200, 0x26283a1bcf4ceac1,
0x6fc3ae3305646025, 0x19dbb964e49be7d3, 0x2776df09550c1a39, 0xe91513f837b19cab,
0xd20087dd46911281, 0x4a4569bb7e3ca076, 0xdf3d518e5697b2e3, 0xb1bece4faea8ac79,
0x876fc66d101a515d, 0x0a1c0d78416692ad, 0x3886cdc1366045f4, 0x8b7647f44d9eaf43,
0xc5a86f03d26d553b, 0xfc12ab5d91cee813, 0x7ad9d3998f6b0af1, 0xc778bfef06183622,
0x9eb86932a37673bf, 0x8edb9abfc8f54c5d, 0x1bca142da9f38a19, 0x36b464c1d0fd37ba,
0xee60f33d53fc2464, 0x727a8248f31ad112, 0x024ef6fd4bd75356, 0xfd90b916b572fb55,
0x57078fb4b066503c, 0x1eb207a666c15a2e, 0xa785b22920436534, 0x77ac6e3d2bd96215,
0xe630ee0b3ad5b288, 0x56f37915a453023c, 0x1c3de3dfcb8b4eb9, 0x479eadfe07352d21,
0x76b48fdf728d1cfd, 0x74f2e71cd052f72b, 0x161747d06180c1f3, 0x054f22b764b05d94,
0xa6b35c301d4c4d00, 0xad118c64d632af3b, 0x9156789f021745b9, 0xacaa151ffe95587b,
0x93ba011a15d3f552, 0x6c38c7596e86f2e1, 0x4f2786b8c8dce81d, 0xe2f87565bdbfe0e0,
0x29107eafedb6981b, 0x2fdc28728c80c606, 0xbe20c8463783b13a, 0xaa06cb808ce0037b,
0xf3aa9ce4103e6f79, 0x907a939887d86dc7, 0x677178e8bced5b57, 0x5b1582a63dec5a4b,
0x7d26d21504c621d7, 0x6ed2f3a34e3799a3, 0x53339e316d3008d2, 0xb4d11dacf011839b,
0x4e7e388eabb29a89, 0x49097f4c623bcc8e, 0x722b6dde507cc24d, 0xa5326b4078cbb89e,
0x491ad8c6e249dc3f, 0x43711c8337922bbb, 0xc5b51efea0b486c7, 0xf1ce1df772b22fd1,
0xc403cd336be0b1e9, 0xb9146efa2db9a078, 0x61bb5b6afb229709, 0xfbbc021cfe25a799,
0x1cfed07a04862332, 0x1a49b9af69536029, 0xb3ed4ad3993f88f8, 0x946802c4952d88dd,
0x269a05fab8481f81, 0xedd3b5db65035079, 0x0ae491c1baca615a, 0x52000e1f174c924e,
0x7f9192ba11bb2b27, 0xc97c35caf0344d14, 0x231de837bfd5221e, 0x5da764e851f442d3,
0x76e065794601d62a, 0xe1b37c191213c10e, 0xc5e1856069aab680, 0x972a3f8b240d392e,
0xa2fd25f6c1955f72, 0x54fb3eac001a7ad0, 0xba1531ba6d2f3936, 0x3fd58d0818ab0313,
0x8c414597e15eb94d, 0x0ee41b52e0159459, 0x602b8a0189bd4ea8, 0x2c716b2e60c86107,
0xb338446de8a48989, 0x0690883dc5920ded, 0xa40ab53477cf4ed2, 0xd576b3a92294ca76,
0xbed9c2154aae2812, 0x8d37a9be2e47bb8f, 0xa20d4891d9027792, 0xe6eebe8f14af176f,
0x4771974c22c03dcb, 0x9720809ad1da6154, 0xe5fb9cd6e3efb18c, 0xef80997d1a7f437c,
0xb8f86924e3d9e2c8, 0x177fb4fb05173157, 0x099d6e7b998a734a, 0x2ab47ac36b48e367,
0xfa6500074c71bf62, 0xc2e6b4ce767b0496, 0x01e55f7fa760326d, 0x7a97a7e56a954d88,
0xbe2962d62a04185d, 0x888839de9820e529, 0x500edf47e0e04041, 0x3796395868aac21c,
0xfb2aeb98e1e48f94, 0x6693dd65032fe96d, 0xe1bf07d6d6732db2, 0x7c64fca529adf93e,
0x40bf58f1183b2a12, 0x1187d9a74a52d59a, 0xab34438b0f6bffa1, 0xf427b44b819e7d76,
0x9dc6868428366ac7, 0x66173e587002f51d, 0xb299339d9a0b9f50, 0x78461075d04e91f4,
0x465ed038aaa73c96, 0xb3c4734c25c18a56, 0xb13e363299925311, 0x4048bae92300aa84,
0xa1f77346edfc2a3a, 0xae238dd794966cc6, 0xf228a2d5eb39a25c, 0xc4e8feb578a120c2,
0x2c4f662b8052270c, 0x41bcfaa72d541fa1, 0x66a9895b5620df83, 0xef0e0f55ddbb933b,
0x3ab039cbe0b7eb21, 0xbcb69bdfe916a98c, 0xe5cec9971be6d5c0, 0x2e5f5d48b7830410,
0x5c6fbdf4606ddaff, 0xb2fcc8d0a5418f55, 0x8dea46cb2f0fef24, 0x8975970884dc4a75,
0x73e366243a52b8b2, 0x24668c6f451f2fbf, 0x7e5627df587a9f29, 0x6d682aaac228c369,
0x5279032048195017, 0xcc2dcde3d451a194, 0x7ec68ecc12ca1241, 0xec761a369113fac4,
0xacca32093e839f34, 0xd8e85def68c7b937, 0x37f896381ba769a8, 0xf53ef3339c67293c,
0xa3408ce70191acb9, 0xd07a6e2b61716155, 0x4522f7c85c5dcec9, 0x8015a5fbbd326d12,
0xaed5dc14824341bc, 0x9df90292f8fae0c6, 0x4f6679d9b7698702, 0x1ec7b4e8e7ad950c,
0x89780c6aaf7939ea, 0x2c273f2bb96c26ae, 0xb037e946828bdd31, 0x80abc571eed2c562,
0x503c3f2050e44ecd, 0xf7f7942ebd014e83, 0x42a5e67bbcef697b, 0x1ddc59698b3d3dc2,
0xb54f90bba83cc76b, 0x7d9864348962f362, 0x7a2d1117ac3d4a02, 0x85d76aeb682f984d,
0x6b4c425d72fe783b, 0x19a9e12d770d0064, 0x34ea92d722ec8647, 0x88f2ed9ad464bb43,
0xec027a664da1889b, 0xba6d671f92531026, 0x00d90c2a74ad1012, 0x533ecd35aad00cd6,
0xd23c644e9360654a, 0x25c9448301ddb8a7, 0x3ad3bee2779d25d7, 0x181ce62da74ede33,
0xb6ecb4c35bc8d42f, 0xbcfdc622ece12ffa, 0xa1870fb047a3d4e1, 0xd3eb9c4716f80738,
0xd2a412096a3f4488, 0x01297abb74569639, 0x769264a279c90f13, 0xc751ed7184ab9a56,
0x5240164dcf1c6fa9, 0xe83fb0f787d3e5d9, 0xce5e2eb53ea7f0a5, 0x874b28415ec70e9c,
0xd6649614b59e5c36, 0xd6d63200186762bc, 0x22910b08da546a69, 0xb07de692d1daa480,
0x46af88c708d45013, 0x9a9dede7382d8f36, 0xb8428155c6efd2fa, 0xb4580e336ddf42b6,
0x6891205dabde1484, 0x760dfae37a143dbc, 0x03a36c4aa4199645, 0x7e65d0b89f655d95,
0x9c218ad8ef9c78e6, 0xc3369f3491c2c9d2, 0x3cb96fd63384a50b, 0xc0dbad06f5f4bc0f,
0xe71fe7ca546abf1e, 0x5a4405b477462888, 0x42bb56f29e04e9c6, 0x09f10f91138f4c39,
0xd93803bc63a92c9b, 0xb915d6d8cf821bc0, 0xc65f626b8ff54aa3, 0x7f5c919eb7fbda62,
0x65911c7a02cf283a, 0x73281cfd071190d4, 0x5d6e2943e10ae9bb, 0xef429df4a7f04db5,
0xc0c656a699ed6d16, 0x0622d0792b9b3a21, 0xf5384ec459862cfa, 0xa7a9e4e92aa38ff8,
0x2218759e25514541, 0x4f9f3a01de4986ef, 0xb10f98ae9866c810, 0x685b59dbf3114465,
0x0b09e8ae7e3d2529, 0xf56ffa1452d773a1, 0xce55a6f6bc2bf562, 0x99bbd97c36355558,
0x496831093a3e15a0, 0x8f9caec5345bbd63, 0xc0d86a417b911e03, 0xa33f6c31a74cc5a3,
0x8ebc655438425902, 0xe381c4f7764373c0, 0xf55a1c9e527a2731, 0x823ec8c368aab1c6,
0x3d56702357bfba4c, 0xe719e916b1d2c3cb, 0x05076d29150fb0ef, 0x34913ad9987f7c5d,
0x3abe27794c37e45a, 0x6f98dcfb78cc87a4, 0x96a42c41305964e3, 0xe7c6a9fb11397a92,
0xb23fe0b3755b644e, 0x38f3db604088ef31, 0x62ae789848c8c9d3, 0x239aa9413fbe563f,
0x1dbbfd965acd3149, 0x25a1dc234de6fe2b, 0x709c33f91148c1c9, 0xadbe865b9f892a9b,
0xadf74b56f106fa98, 0x91d26ecc00e05256, 0xc3328631fc94ebd4, 0x6f0179946661ce19,
0xbc2cb204ab3bf7b7, 0xfe03a40b16bc4d16, 0x0f9176898d8f6153, 0xd6f4b68bcde84855,
0x126dbedfd951547e, 0x8db675af0b95a7a9, 0x32e98cb64eac5dbe, 0x11423778266edeb6,
0xa4f5d36923d2d92f, 0x27307061f552af7a, 0x0979aa7278c25258, 0xd538aa39ba8eb09e,
0x3e333d60df10d31c, 0x1232e63b4e72d129, 0xff67f7208d677e79, 0x61201f03653e4de1,
0x4409efdefe1a5420, 0x07227698fd2e0f4c, 0x0cabb47437416f3d, 0x1ae37b275ba4339a,
0xd2d03031b8a6cb6e, 0x1ec07582dc32dd8f, 0xc6ddad706c85e52e, 0x2c719a6f0f892b07,
0xca68bc87d3dca8e9, 0x20825984b6a7f4e8, 0x86349eb3c86d3f4c, 0x68c5a19b46738c9e,
0x6c32fb552d91eecf, 0x7f5104999c712589, 0xdd20f345061021a4, 0x53db0e051a2691af,
0x3420ea96e2b8707a, 0x53d4113a642189b6, 0xdcf6aa13a8620074, 0xbaceb1794477e8bf,
0xc22e146650c567e8, 0x02d3c79ea404eae6, 0x6ff893a218106f2d, 0xd85d85a21739ea6c,
0x100181abae3103a1, 0x032a3d5647aa66c1, 0xa556adf0c6446d9a, 0x0de36eaa1eedc0ec,
0x3a6f5c82b6598293, 0x1ad09dd8f1f6a844, 0xc6012f0773e42d82, 0x0062e12c4b44c1cc,
0x87a9b95a1246440f, 0x23bfb761f9409acc, 0xd80e34e1b0d0691b, 0xecac8111ea8f5acf,
0xd69635d36870dcd8, 0xc6b136fc4ab64dec, 0xde37f8fb3ebda559, 0xf552b729252b4783,
0x3f0950b5f68f7b48, 0xdeb07e8ae69d32ba, 0x63e66a9b127dd194, 0xae9e7170d5b2c12b,
0xe56bf1ce883f8487, 0x1cdfdf0b63131f94, 0x9713659daca9e4fd, 0xf35734314e55e4be,
0xc9e3b2643ebc2705, 0x355c1b09c368b25b, 0xc97cbb39df605ad8, 0x232291c66727d056,
0x3eb39cda80c763ca, 0x7f2e4f127124dc35, 0x8f019ebbd1d82951, 0x90183ff36c13f27d,
0x9cbda72f0537ea9a, 0xf0d1f96cb23654d0, 0xc1ec494c524b54ff, 0x4c563293f3ba922b,
0xda9a3be3eb9a451f, 0x387582963ed394f9, 0x20a5000297ada968, 0xfe6ba93f9974c0c1,
0x1105ea348744a8ba, 0x044a2085ba1e3a04, 0x72fc7523a1248809, 0x91588900b5471948,
0x076a127be3cb2ac2, 0xf9069daa30d7828b, 0xe68ab5ef90c4ca66, 0xb24b4ef407ffebc1,
0x0bbac86fa86e1615, 0xb21f73a153dfbb47, 0xb3cee6626d2e2294, 0xba166715653d2f0c,
0x963babd45885f69f, 0xb79f1aa5d6b0279a, 0x4ae5916dbffd1b0c, 0x2f2f10f0c93fd6ad,
0xbb34c9021619c092, 0x5511965d670d7036, 0x774cfac30a443bd8, 0xe66fd0d24a0658a5,
0xee0dfc83cb040225, 0x8c633674dea5fd96, 0x59c00dbb213ed125, 0x2fea9af77622c77d,
0xf3147a5b6c624209, 0xf515673029f99236, 0xf620be1322c847ed, 0x4ed126fde6a16377,
0x669f15cf97f240f4, 0xe3496c8fafa842ac, 0xc83eaf3dce2da5b2, 0xdf6b5b3929b13b69,
0x08f758972fb36325, 0x664e33d6b27cbae8, 0xc7a217b682d4facb, 0xcc34790025415f2b,
0xa2c7ff1db20fbdaf, 0x3b8f8b680bc0588e, 0xfabdaeb9e9f35a5f, 0x9e46351eb59d85e0,
0xd78a16b202bedb2d, 0xed428ba2725cd9d2, 0x8245f3e27d204362, 0x03e8419aa2670231,
0x2819776aed364db1, 0x434e086a524af0e2, 0x5b890b46beeeb636, 0x9faab818988901ac,
0x19ce5a720bcefda3, 0x668c6d504768d9c8, 0x938690724942bf44, 0xaf83e7d6b86fb97d,
0xe237de1e926ba148, 0x63860d49e5b910b5, 0x8f31699c7045927e, 0xa6b7a6839a3ee5a5,
0x172b2f39c88f6689, 0x2dcbb436d4c18bf2, 0xa3cd26016b3cde5c, 0xb97a6331729d1060,
0x8c490834b4a8f011, 0x392c2deb71099e99, 0xcc26f008a6be7cf1, 0xb8b12ac4ce7c46cf,
0x8dba8e9a44bd5384, 0x56fe2cd736e0b3e1, 0x781aef2b6842f9b8, 0xf93be6a99c87fc02,
0x33c90e8ada400a19, 0x46e21ccfd03e5b83, 0x7c7e398e3611a9f4, 0xe2fe19a99002ca5d,
0xdb9f7d911f337f1c, 0x9cd7cf5b5eaa3f8c, 0x2d905bedbdfd232b, 0x8b4dc17c91f912de,
0x3aff094c26b5d588, 0x9600083d4afcd5a6, 0x9b5fd8d2d9412eef, 0xbdec0efdca269862,
0xa5eeae604c8fca53, 0xe72f6db4e787ab70, 0xcf24eb18ba0b357c, 0xaf7c0b8c008818bf,
0x3544569f11e18d8e, 0xe32f8363072f33f0, 0x479791ebd27756fe, 0x6dd2e11cb4133c40,
0x2dbaec795927129e, 0x3ff3d18a6ef14166, 0xb9a885c175f77a7e, 0x6a9d193c55e56b3d,
0x957190afff254fc4, 0xa267ecf33e716bda, 0xb0491a1f20aae7fa, 0x56a2653559317f64,
0x5826bd7c4e824440, 0xcd38c5a39cf973de, 0x332b63f3edb2aab6, 0xab72c7d360075cfa,
0xb59998dd9b46dfba, 0xa783864a68bb5951, 0xab3dc539b2e9f181, 0xdc6ace5b06cd2351,
0xaa44c2b701f76bd5, 0x9570ef871d2c5671, 0x3abc1779dc4a1d91, 0xbe3f6dfdf397e236,
0x8782703585e2402d, 0x40e0fae0369869be, 0x4372d02c3135fb71, 0x6990bc9942e34a90,
0x9fe66fb1c398a25e, 0xd689259d8dbd9378, 0xc4bf8980c5e7899b, 0xa01436636760501a,
0x7ea1e356af9ea92c, 0xce8aeb37255ba5af, 0x6054970044f75e20, 0x8f4ce8693aae56ba,
0x2a2f54e3388c4166, 0x54aa2e98c47dc653, 0xa0401a1a6e50720e, 0x2be689184fb13ce6,
0x934418f886377da4, 0xbc10847d7450b5d3, 0x2de67e260d1d21c3, 0x68451ffd44a4bf9f,
0x30620b7318ff2f88, 0xfe73fccc80811845, 0x32eac98006d06412, 0x9695e22be28cb1fe,
0xc0626be28e463065, 0x1d978f6ca8c1cb8d, 0x21c6a55cdf7de27c, 0x83108de4e95fd62a,
0x43783f9693797980, 0xf00e8699ea8e0229, 0x961a83d2c37dec5d, 0xc13696499c774c7a,
0x78cd0c371e1c457e, 0x407141d9790b5889, 0xa1609588b3e6b50e, 0x75105adfdc9b6ef6,
0xe24585a05b278786, 0x4d95b02c0bc78d64, 0xa4e8a0add35cb044, 0x7f23f5be2787bfac,
0x0a51a1924e4c0d82, 0x5b728185d7091af4, 0x78737260f43f4845, 0x4c23e562ac375339,
0xaf9b1793dbf4e0cf, 0xde4e145d0f853896, 0x26c49f78b4e07403, 0x812102c6f16c0568,
0x2ea7878a5663df55, 0xba66060ef6fb8d73, 0xdce96610cbc8e0e8, 0x488a0069ee3caba7,
0xd5ffa8ba232d1439, 0xbc9c448692a7c421, 0x0dd00b8277a68b73, 0x355b52f0a5ce41f4,
0xc4a8f9ed0380b160, 0x38e229e3b5ec0812, 0x601cc1b86d6ffe62, 0x688bc39703febabc,
0x0f95a8c0ea5bed6f, 0x369ed8a1331494f1, 0xb1e4b427765eb4aa, 0x7a01668ea959449c,
0x6073e6f15b1446aa, 0xc8c9e953bf0eaf4b, 0x0c194f14aa7846a2, 0xbf7ae10412664c59,
0x694764ed3535dee2, 0x869b82f11065e11f, 0x1ac2299b6309224a, 0x1dd45d7176902db9,
0xdecbaaa8fbfc0c20, 0xb699d6bf06d1fdfa, 0xbd7e4a1c8201a815, 0x46c1ca2a33d49629,
0x271aa363bbb576ed, 0xef7fe423e9c97d86, 0x76ae31116e2d2966, 0x2bee96ad31fb00fc,
0x71adf27aa7a6e1ee, 0x8c2cac353289422b, 0xb2378b3c1b99088f, 0x22991fbc87efbadf,
0xd2d55186ffad6744, 0x05fe6be9606bda8b, 0xf86715945edcf68d, 0x015ff53fd82cf7bd,
0x78d45eda5d37cfe9, 0x20abf5c21f84e8e9, 0xae73a1a15302c7ec, 0x9cb82f6ee82858b3,
0x7f4f31ca941c61f1, 0x6b94557960d67c71, 0x31d0dfe8fc8944a1, 0x50f12a7628f2ea2d,
0x2eaa5d4023623ec1, 0xeb1e499efbb32689, 0xaea21d3decfed5ec, 0x8944e826b1371175,
0x95489f59c62a5848, 0xc3d31e459152ed34, 0xb0267f97a063595e, 0xa43eacdf7f650897,
0x4d8cdcad2e8302f4, 0x1b55dd7ba996e99b, 0xade8c5d0ea304b28, 0x61ab212e3c84d64a,
0xdb4534e0db75e5d4, 0xeeaa189d892ebf1d, 0xcba9c304824b6f3c, 0xc3a22b38c6c67eb5,
0x8d5149ec4cdf3b41, 0xe25c78efdc648ed2, 0x06d5daa21960b7df, 0x169e8302da0f77de,
0x77cb37a7ebdb8a2d, 0x6e68ea33dcad0eae, 0xfa3e08ce93f169be, 0xc757932177c4016a,
0xe00a619a181b2150, 0x396470f5df5e8912, 0xa91a5e539cc898b2, 0x5768db8e917e934e,
0x11e9daa7821b464c, 0x3911d856f15c3685, 0xce4cd7e6e2db81ba, 0x36b089acc742f065,
0xa911a3fcf08e2b92, 0xafd509abdba05dcc, 0xe007d15d9ed3fa0e, 0xc0d7f1c43e5ea14a,
0xce78a4bd34d58ba8, 0xa35ded7167645f5f, 0x16776dc4a2aacc15, 0x2d63bcb9c14d3e53,
0x15fe78017cedb5af, 0x758a9cdd4c333287, 0x1246e841e73bdb0f, 0x17d22d203071b16b,
0x664b2f1c121c85ea, 0xa274ef7d881ec1c9, 0xddaf37e0b89fb8b2, 0x47062aeb8fc193a9,
0xcfb6b81ccc2e29e3, 0x91077bbb58ae3a8a, 0xe58a0a785deffa69, 0xd4e27c60bf9029c3,
0xc489ca68daeeb151, 0x309bafe347a5b2b4, 0xebd9628dead55acc, 0x7985f049869fd476,
0x51af7cee0d1854bd, 0xa26ab3e79440d934, 0xa294562d9cc0cae4, 0x6de3119419a0bf0b,
0x45650c8f9fb6390d, 0x416c211c0199a699, 0x4c41fc045bf7c9b2, 0x7d1f3fceaaba3c90,
0x553372cf673b2802, 0x98c5d72cef3cb60f, 0x3dd999174c21f06e, 0xa715b4c71e850056,
0x1bf0fe75f44ba42b, 0x7569bf028bfd4afe, 0xc88dfb797cc611d4, 0x9d7eef787dc6c5f9,
0xb983bef48c06dcce, 0x465c982534c2d6b4, 0xad82bccbb97eaad5, 0xab99c583f0e3533f,
0x079b2cc30740b636, 0xc243f006c7ea6992, 0x6a47bc4cebfff325, 0x4f279336f7f37af7,
0x35da4a7c18178644, 0x63d0e77ebe46d719, 0xcb3e316da4e2e649, 0xc2fced014d8d2ab3,
0x3430b00e2fd590e0, 0x3e8bd9d4001f1250, 0xd5be1451c928d1b3, 0xa284a5fd14fb64b7,
0xcaffe00098b69352, 0x676661d83b036624, 0x907e4945c93225cc, 0xe248376164a715d2,
0x1b9f3e247e7ab874, 0x75b927b5c60ea8c5, 0xd7fc4b0586e2ceb1, 0x2960f3f477ef6b3f,
0x9956715c9d9456c3, 0x2e6fd60508af45fe, 0x853fda99042ff206, 0xacaa0423fa213c47,
0xed87c3f6fbd9670b, 0x30caa54de8318f69, 0xdcf48ff054741406, 0x625f6bce3a0f32e4,
0xbd39dc1e51a31090, 0x8eefca612265be7f, 0xad1e144841a7c787, 0x26f22f048d3e4739,
0xc41d817310fdb810, 0xa00876d1eecc42c8, 0xb12d734872ec4526, 0x7472acac9ba6cd87,
0xd496db95a5cc9ba4, 0xeb27edb7979d560b, 0x0a7e9ce68b2726c8, 0xadaca9774f879e4e,
0x2ca874c613a30479, 0xda7d8e8e44e6f7a7, 0xaf7f2cfc3e7c6d16, 0x8de4aaed8ab941e7,
0x87fe8b1f8412783b, 0x072e41dcdc89be3e, 0x90a2ca3a210e8393, 0x1dfe6d2b30fedba5,
0x296b29862b793233, 0x855a7cbde0441fee, 0xe8550c0f53709a59, 0xe05202a4c8c2ee37,
0x19080e1fd23feafd, 0x9477af7f684d75b6, 0x7ace23526a936769, 0xea9fc1a2c973db32,
0x4767a23de768ceb4, 0xa85cc028e989dbcf, 0x9a4e4859eea2ade6, 0x14a1fdafe526f87f,
0x1012c1e66b5d88c3, 0xfa73c66aaa01ad68, 0xee8eed95879ccc63, 0xdba806dda672fb62,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x568a5ada3d11fc00, 0xf16449014eb881a4, 0xfdb9a3a516062f82, 0x1eb2cc06c3a45f29,
0x0551f4d6abb5a6b8, 0x7ac9d46537ca1cc5, 0xb1d327b4a4225f64, 0x2fe98d3ccbf07cf9,
0x01ab2eed229b638a, 0x2d304352532157ce, 0x20a9e010c3e91cb9, 0x5b8a8c44c0b64697,
0x439e51a156619c9f, 0x206ff7d6d7d38d10, 0x7c86d28241f5a31e, 0x0135897178a06022,
0x803717c70bbd66f7, 0x70c7484ad9affc20, 0xa72f25c94c6c4e87, 0x3295f1837e9def4c,
0x5a15a75e2a6ea548, 0x7a3ab24802462236, 0xa97406a52525fa97, 0x51f79023e3da2274,
0x9f7be26831a750d2, 0xbf1eb51f9ff53dcb, 0x6b94b9838a900bda, 0x0690d6c697e4ed01,
0xeb57310031239f7e, 0xc5e298b06574c7ae, 0x95ce7db9f7f02d7d, 0xccfc0328eac5ff5b,
0xa5f2ba3335da361c, 0x76119ccf521cf5dd, 0x4b960103950903b3, 0xcbd165baec1b0d7b,
0x3c107efb3644114f, 0x589b67b3a82455ca, 0x782cd45fe886f2ad, 0x93c3cc70cd80b778,
0xeeeec1163e049cdc, 0x61e301fa4dd0cfe0, 0x1b5f9da885473c21, 0xdc1fe500535ab720,
0xed20578accb83bc0, 0x61164536f8cad65e, 0x221e2c931390db07, 0xf904d426f61441d0,
0x09cb112d880868b6, 0x48bf8767193d9bd4, 0x87a9c7aed7fbc606, 0x3b1304a237b1eab0,
0xa7985c5452f6ce7e, 0x8884978b04f38903, 0x03abb5acbccebb5a, 0xcc7ef88f290aeb0f,
0x9b4c78c486cba52a, 0xa2506b0510eaf0b7, 0xe522db17e374e49c, 0xdd1792e3aea9045e,
0x882f1a964c88d5f8, 0x8a69a48cb23046e3, 0xd18cbf42cca7f759, 0x3a323e8c41b1588f,
0x50d9a918871c494d, 0x0e149ce2fc437479, 0xa4625a1e2e3d7563, 0xe301aa6487651ef8,
0x4720b1dfe57b07ca, 0x834c5274326e8620, 0x8e0de9c83e63fbf2, 0xb2e87a0a21a791bb,
0x862dc8edb3ed53d9, 0x1ca8b34167be6fd6, 0xfe4d90d98efb6113, 0xd2d2690dc0daf693,
0xa94dd4f992450db4, 0x47061a80019416c9, 0xf7ec4060827640b5, 0xc50f330288f2b8d2,
0xded3541bc7013d3b, 0xae0872a63b62a51a, 0xf40e98ee53f12982, 0xe4763a5315234be7,
0x90795978778dc380, 0xcfc8e6d0bb335bbf, 0x61c1503ed7c707da, 0x5e40d98579f2b455,
0x2cc1fdff5c7a0462, 0xfd3fb8b6ffeadddd, 0x428577bd8edf1d42, 0x44b858d55fe3a2a9,
0xfbcb0d9bab96c68b, 0xbe6be29273d7c9ee, 0x1d5d4d083f0971ef, 0x21356921dfcad62d,
0x75dd51640467743b, 0xd21c9b4bee046531, 0xae0c0b45daee208a, 0x969723003200f0a4,
0x16c5102ba9441ddb, 0xb90cdfd1b84b4d1b, 0x2fd6229db9ddc7ce, 0xa2e12c5689773733,
0xaa50d03dfa1d4895, 0x7ee6e127b64229a6, 0x544b9c199cee8008, 0xbee1b3074e369c52,
0xd95c712928b3fe09, 0x81677ae9c37a1420, 0xf8ee18b3dd2e4be6, 0x052d036927e04327,
0x52452d0a461bb497, 0x5d3522f0b6c0f164, 0xb5c85c8d45e81752, 0x6b1deadfa5b55505,
0x8eb084732935f50d, 0x8a5ad3e8d147b7bd, 0xe98c512914b8e039, 0x15ead3915feb8973,
0xf9da8a2649db95ee, 0x0b3c802e4a00e8e9, 0xcf20a269b0f0c1de, 0x95c78d4ab5a752bf,
0x135e46638d1b9a10, 0xce9e26da382c72b5, 0x5eb49349c86480fc, 0xd2b89c178927a8dd,
0x18148b5af51d8282, 0x53310a3e5c09f72c, 0xaa3f5a57ea32ddc9, 0x95d00f2bab6a7816,
0x1fe0a0371f87b3de, 0x2c2cfa4e665d2b42, 0xe044ba27f75b9bc6, 0xeb8f8c274f270a2d,
0x6737f7e959c72894, 0xfad6a91b4a85cac3, 0x11439511cb50af28, 0xbefd92ca9f23148d,
0x97c9297516003b41, 0x17fcc7038f6dfcb0, 0xa70fde4dc7f7e62e, 0x40d2e6371483c45c,
0x2315e9aa327e8699, 0x536b540938a2a1ff, 0xb0dc0deb1c90f653, 0x26d7f36d5d7739b1,
0xd48fa67d69407d44, 0x0d3b576dc5ebe830, 0x56c14e24ae356432, 0x367e0d0208fe79ce,
0x89d0d108da330ea9, 0x8a35ca4f69e5f47f, 0x2c3603a5d8c8b62b, 0x0d6531523b7199e4,
0xf7f918445e106a3a, 0x2a6529127debf1af, 0xabb7cad07a47e6c4, 0xf6af83171e34f627,
0x038000fb2107289b, 0x6288e840ae379857, 0x032fc4cbd4edc911, 0xe93b4e69b409517e,
0x2e1777c356e42e9e, 0xf2ecf6bd76058cf0, 0x7f01f1386b62ec89, 0x5b6e4126b125d292,
0x7bec9fc94b601039, 0xe276224c94bf3e9d, 0xc4638f80747e4b8e, 0x80e657eb2cade2b1,
0xeff49724d697e8a2, 0xda463e4ddd1e207e, 0x86d2b11e1664642e, 0xf6bc2c86cf31e4f0,
0x6d2c0c400539a7cf, 0x6f4465bf7be39f39, 0x4278a5cdf515731c, 0x4b199f4191800018,
0x6d2d3d308a429152, 0x2ec35f1caf45076d, 0xfaf6c3bcc842cd44, 0xa9c2d67a38eabd3e,
0x785a10f6c189e76b, 0xbb365396b7fa07c4, 0xf14f6152b0728b18, 0x1c43d45daa46b17e,
0x2ad55363ccebf6bf, 0x615ee4ad3878120f, 0xf752ce4465f79c02, 0xace1f0c9a53ff92e,
0xe47ad69dd19f724f, 0x0ff88c2a5c663813, 0x207a142146536943, 0xbf3250861dc875c0,
0xf3dc43de59f39b40, 0x523c480b8837a567, 0x130bfc1263cc409d, 0xdb7c6acbf3f704ee,
0x68dfbeb2dd08df31, 0x056af3434b3c06ee, 0x47e7d39bd65b3291, 0x9c7c4aa3253634fa,
0x680365fec4bc3512, 0xfb221356dd185c08, 0x7965842e5b887f04, 0x6d173903e3e16974,
0xb741530501bc5c87, 0xd22d02546551d16d, 0x0c359d176e31bdb9, 0xfa42a081fa22c752,
0xd35fc73da6b4957c, 0x57df7d193ced18b9, 0xcc05a496ad8cf7a9, 0xdb967409f70d431e,
0x143e6a1f60904d17, 0xd43525a9c8b07391, 0x8f4c2172708366ed, 0x4d13fc90683b7306,
0x40ff9c1630544cbb, 0xdd991d73e81a6e28, 0x1040dac94a993a07, 0x00b993a3f93e5791,
0x511ce1b7bbcf810b, 0x32e2e0fd162876b1, 0x6e0f67bd35c807dc, 0x17d9e8b2d0a3fb69,
0xfa493ece987557d8, 0xa400e8f4c9399aba, 0x13a19cfc0e3c0e3f, 0xb05368add2f05413,
0xd5673f30ee46a39a, 0x357c820f62ddaae1, 0xc8d2865af5d10488, 0xdfc83cc45ab0454a,
0xa976acb64c3dac03, 0x12c2add5b2e9fb67, 0x7a854f12a1041d28, 0x81ba41f7da2a9d0b,
0x6e0c69322f03dc3d, 0x664989d53113974f, 0xb7a12dd99a5c1285, 0x9402b517f30eb11a,
0x613ccd93ffff9a9b, 0x5570cddfa6e44922, 0x3c09c35ad52fc26d, 0xaaa902239697e3a6,
0x2016a1b23ae3e7b1, 0xeeab4de64804ed97, 0x3cbfff1d346a0bea, 0xe114fc93514f1a81,
0x674c2170a25a08a3, 0xf3badc0da3e54b38, 0xc38b9c44e04ac730, 0x0151b3acbe897bbb,
0x87504ff42f7638cf, 0xfaa4a51515334b93, 0xbee748492ca76285, 0x1c7c0f92837088a0,
0xaab8e574d421c17d, 0x7c012e5e742a38f1, 0xb97f335169aeec67, 0x2e9e831ce06fd29e,
0x15bd714585a3c789, 0xcc270c1148326744, 0xbef7f5a1ff83174d, 0xed3d065c5a920bb0,
0x38e0eecc923efe7a, 0xf2d4116a2ecd997b, 0x24d24edb9e613418, 0xc8dcdde3a08166c2,
0xe05d31e24455b29e, 0x0afcf39628ff4213, 0x13aabb60f3007e6f, 0x16eb01a5bc429df1,
0x716f6a1793c27c7c, 0xba2e02d8dec203b8, 0x4e3dba3457a1ddf8, 0x1a1f9cca94a5130c,
0x8e8777e0f23ccaba, 0x7c0dbc444ee74691, 0x977237da8d645254, 0x4ac5424d3453c8e4,
0x1a0b0277316ffd7d, 0x82fad9e118c513bd, 0x311876235da57cb4, 0x49c1183b71ecdb7e,
0x229457a630851a10, 0xabf9eb7b0b9a81d3, 0x577e29dfbe1de31b, 0x1faedb746b3b16b1,
0xd278fdbda5b46ac1, 0x7bff6563704f611f, 0xb57aba036f15d656, 0x26f2c278f543490c,
0xb55e3062ed28ab5d, 0xa374c66894536f55, 0x5b38c7f50ea9d26c, 0x17c1e0b07968e36a,
0x245aefd23200a60d, 0x6645f9b5cca8727c, 0x956fa31b8a4f978b, 0x63b99479b94867fb,
0x9217864588b07288, 0x117bfc55c11f9376, 0x41c017c2829709da, 0xdc06e610e5421c66,
0xaad1096b0e5d5c5a, 0x66f40baf58f84b6a, 0x1c300520fa117666, 0x2436b89d9d507f6d,
0x73232016a74a26f8, 0x896fb9428da1372a, 0x78bc871241e5fd45, 0x94ab5f0a02a92a6a,
0x6587b017f16a5b65, 0x60fa6d768eae50d4, 0x5635cd9075fbc8b2, 0x94bdc332c2856d75,
0xc0d57fb2fa613bc1, 0x45e1d880c78e6cc6, 0x7a5ee2782c84b7c4, 0x2c846372a3c6ac02,
0x160789b90db38a4c, 0xcc9726043ad1abda, 0x0d3830aa52bb130c, 0xd8097db94ad8a632,
0xc856fe4b8e6bd8fb, 0x40e3ccf0ce65f9fe, 0xae858551eca04751, 0xab08be4905de0af1,
0x0930a13d7cd91fd3, 0x97b7fa2cc060cecd, 0xc51694861649ff0c, 0x2af4cdc1952c5072,
0x84f408173cb819d8, 0xd318aa469433c319, 0x435f96907c6be9ed, 0x70c7e4a5c3d67a1b,
0xb55f13204e9badf0, 0xbf727b8d66860bb4, 0x1e0e0609d55cd7a0, 0x383df4fc376a2d4e,
0x52a61376dbc181b5, 0xc446e72917f08eff, 0xd3e1bfd3d97a6f90, 0x5693d7e6cf9273ad,
0x03c2d2e9fb94d7ca, 0x0f353bdac603a6d6, 0x0259df557a6113b9, 0x5714d4c6c5c94ac2,
0xe41838aa75048b06, 0x3b6300f67c3bf5c4, 0xcb94178080bceb9f, 0xbcfe58b6bd75e77b,
0x3e767c0e5edb5f94, 0x5142b6027f0abf90, 0x7a2fce6606e4ea72, 0xb8883bc5c491f2f8,
0xdff19aa3a7cb078e, 0x6f69e961c01e7f56, 0x358dd38483bc56a7, 0xaa491c66f37613cd,
0x8de0653bcabb5895, 0x0edc940ea2cff7bd, 0xca93755c778daec7, 0x92246204fcd4692b,
0xb7183bec951ff4fc, 0xe82213001a581dc4, 0x634c45809962da6d, 0xe2d47c9fbf0f7968,
0x072c6777a00778e8, 0xafad56d2c9cd20cd, 0x7f2aeccd1244eea2, 0x2f1b34c1d345f3c7,
0x70766f74f5c7b9ae, 0x0d243d5b24940a1d, 0x374c546246c33dae, 0x07fe4ae2f07fd678,
0x342823bd878bb983, 0xcf94ed0c1ff5abe7, 0x9a3a86af9b45dd03, 0x90dd6126c526c984,
0x928bc6388f9cfb78, 0xf560fab5b9ef0749, 0xcae5aca6dca1f46a, 0x68976dc6152d301b,
0x7938c6477511fd89, 0x51662e3bc5868c3c, 0x59d745d27816cd7c, 0xedc4e332d47ecd2b,
0x8b8e87fdb17fdc54, 0x2874164201ab78c7, 0xc59b674f4507b731, 0x606e93cfd3b6d286,
0x22b57d12521cc858, 0x5b1fbd81166d3211, 0xe0a7f249914d3890, 0x815e8a2844dbc69b,
0x34e2c5c5ff77fcb8, 0xcd8c54a7650b585c, 0x5d4315174e304734, 0x765bbfce436c35f1,
0x1d2e154b018d9786, 0xa355c053e93edcf2, 0x66422042fa6d290f, 0x704c8e58d16e6d89,
0x3e522e2e28409e3c, 0x389f8e0aca07e027, 0xc572c58b8d810ce4, 0x8bb40c5c6c3a4181,
0x5372fb927c306006, 0x2d67ee5830726fc0, 0xd536cd7f1d5bb6ce, 0x6b039a952883f4ec,
0x9c39a9d8cc92c4ac, 0xd62064bda20ddd8a, 0x43b7de9dd7a20289, 0xb1e0161c3de9f421,
0x580d6742c338ffb4, 0x130c02d6c4275e04, 0xf7027b65b6d6cc46, 0xc5ef278d19d66835,
0xea58b381072287a4, 0x34295a21bdc78520, 0xc57bc1ba1456c77c, 0x87d6ca822cbd5e45,
0x530bc0f3b37f68f7, 0x4a44501f50d1fd7c, 0xdece26346222a260, 0x83acf8229679d0a5,
0x9dd7c64ed7dd9584, 0x75e9b801447a0630, 0x027c09f873db8ce0, 0xa28f69e02f37118e,
0xb64754be4d199151, 0x9366522c3949f29f, 0xa13e0fe933233635, 0x38cc943d4c06146f,
0x910f04c7cb58d5f8, 0x3e46518f515b1efb, 0x5f8099b758a52b85, 0xe0538a05b373845e,
0x76bc68c969b80e5f, 0x6fdf367ead909aa6, 0x561b424b8c0bbfad, 0x8cbdaf30f6fbed8b,
0x6a7d978eaa94a1fe, 0x5a269897d7b4d939, 0x24ecd3f1f0f5d149, 0xa67b1e183131ab80,
0x61529e8005e10158, 0xec36127cfc747e94, 0x4dbd99faeb681112, 0xc3ddd4a167fa8ce8,
0x467d85f044746067, 0x2e95477d94ff8c4e, 0x435b7a878b147f05, 0xb3b50d57e7980989,
0xc2405b6479cc48bf, 0x5d81cc39dcd370c0, 0xa66173555f209e90, 0x7ac46a495ff5f86c,
0x2dd5aa47fcccee04, 0xdac5035a159e4a1c, 0xa08ce6f435ea2138, 0x973357f72cb0a882,
0xeb6c66d2a2d112c6, 0x5e89bafcecff1fd8, 0xc09b8fc60291242f, 0x7229f7de698fc5a3,
0xa66f31dee25efc42, 0x96f6c9754983751a, 0x10316df05d8e8ef0, 0x2910e1c85a2914b9,
0xa27d923ec237c8a8, 0x8323033cf2f378aa, 0xc6dded3a80497d38, 0xe431dce168dae71f,
0xb58f76c041899528, 0x228647448ba5ddcd, 0xf0d46ea492196cc7, 0x62af12c26d31e980,
0x9568ee72cd94c04f, 0x5349d4b6d107a08d, 0xf3377ab8357c1899, 0x4aebdc049cad0799,
0xbca44c38888a2337, 0xad899409759ab96c, 0x680f96eb6fa8478a, 0xb6cb7f032676a5ff,
0x85278ae2c9bac2fe, 0xdc892364fb579341, 0x3449955456861e23, 0x6249a5c106ca1787,
0x85b8c2004a8ab612, 0x92529c209273421a, 0x07417f13f5f384d6, 0xf1099d62a77c9ff1,
0x11d520e3d5e470d8, 0xd450e8e904a82851, 0xd09b1919adfacd3e, 0xd547ab1a516a8653,
0x1a7dec308fdddae2, 0x13e305357f76c503, 0x27e230a6b9f8e822, 0x5d2a1d84cc901f25,
0x357bd3d0874d9f6e, 0xb9dfeef9a194dc10, 0x9f040c17b480340f, 0x746fe39c52b0ec39,
0x0dc2cf20ed9cd658, 0x41c3e53f0ea41a33, 0xdcc5f3db4e932614, 0x08ad92992cb66b4d,
0xb53fa2c451116954, 0xe540f08d0dbc36e3, 0x9d571f462e502a0c, 0xe741cd3863c72962,
0x7fc65ebcd9451625, 0x2a432ab221b9a940, 0xabab2a365cb953d8, 0x4c9a1ba1b6c0006c,
0x9db2fe467025b1a1, 0xb5f1712e204e9fda, 0xf6a2e2d0a385513c, 0xf7663b8dd5bea33e,
0x133f65320faae97c, 0xa602c6591ddca577, 0xf8378cc957222a40, 0xbb7925b3e37a5567,
0x8827ca3ce14c4a76, 0x508045ec84ca6e63, 0x12a0291d018fe360, 0x92e6dcd32818975a,
0xc0ed04512a291d8b, 0xe3be890913e754b8, 0x759dfc7f8cfffba5, 0xf8af08fad1d3ae26,
0xde1af1b18509801b, 0x49e59b008bc5f611, 0x62f0ef15d167bff8, 0x50df9a13e749aa8d,
0x3efda9f48fbf5ee9, 0x00ab4f41161fc9ac, 0x6318719beb3e30e6, 0x8aa9e73bdfad44f8,
0x6287c6d8cfe6c799, 0xd1bc94273f5c0c13, 0xccf9ac0c27fa017b, 0x56c80f813fd9b394,
0xe13710ff6b88cd66, 0x235c31fd08d63660, 0xa26ce49ca2b574a9, 0xf49fd2738d4ba6a4,
0xbd9e09b8e06762ae, 0xfd696b50e7838481, 0x67b7c5c3fa0fcbea, 0x9521f66a69c4e898,
0xdea6fe11d189df84, 0xbfa27e0317c0c24e, 0xde58be706d56d981, 0x482054ef38d997e7,
0x92079fe545389db7, 0x32538a67db0fc2de, 0xd85766d17a5405bf, 0xf8e3b7e8a4c14f78,
0xea72d901fca708a5, 0x168acf99837277ad, 0x6a668a1cf1b00a7b, 0x9b1b71145a809a11,
0x656d61f15c515b03, 0x7388ee7f9e0f6e0d, 0x58ba4c117a9fd1aa, 0x367aa6b744c79653,
0xf568e012649a77f9, 0x55a3be3b037f9604, 0xc426cb02d9b8334a, 0xb22e949290645a83,
0x4417e99a3dcc2f07, 0x412a9a9c196fd6df, 0x4b8b952ed7a56cf7, 0x4513e04652fe7df4,
0xe33eea33ff76092c, 0xb9c8b62383173232, 0x0acdd5523dbc72ba, 0xce104666bc704baf,
0xa04c4e8ba98d009d, 0x3a1362c09b1be4e0, 0x3ef154c19c3da67e, 0x7a89bd53b111db5f,
0xea336c550650701b, 0x6521ecdfbefa279e, 0xe847536db0df47a9, 0x0d22c1ffbe1c6423,
0x32d1e7bef5c711dd, 0x0a5de790f764b939, 0x701529fac7d67384, 0xf87d60b0a85db33d,
0x20599a1867a8d02f, 0xbffbd34d9be7d711, 0xfc4f95858be57155, 0x5936ed2737109e74,
0x0fa8e0487cde4ace, 0x5650dc264d3ff821, 0x03cdf26ce9fae6d8, 0x6482c6272ddcc27f,
0x59fed6a2e9dee32d, 0xdfd07329678f7edf, 0x03681202739f20fb, 0x02a2cc78381c5b94,
0x06883e9ed5d43b34, 0x8a4b819e013f839a, 0x3c0699e315b56264, 0xba3cf5ec20cd57e4,
0x35ca2c6f7f99c727, 0x484116606272b76c, 0xb9443fc1dd3f8c37, 0x7b08a364ac7b12b9,
0x039369ee98cb3599, 0x321a6f6d5b932e4d, 0x2bdfa647ba4e284b, 0xc741ca8990a24ff3,
0x6089177e29fe9bb7, 0xde2584a18abc1875, 0x4487ec60739ce95c, 0x6d892fb1074df203,
0xd0cae2eb3535e603, 0xa64dcebc9e306c85, 0xff10015fe6694b1f, 0x1356029a976c2f29,
0x89b15501665df15f, 0xbace4cef8ce7e12b, 0x85b75e2526357354, 0x41fa8dfa145d8db3,
0x38758caeee196bfe, 0x6ff3a7a41d79dc7b, 0xb445e1f4215d03d5, 0x0afb0954bc0afb6d,
0x762c7fc56d35ebd9, 0xa97a318a84efecd7, 0xb3a42290b2e49b7d, 0xa9fca826a8a247a5,
0x5073476b1b625d57, 0xf9bcd68cf79cdb38, 0x5dd1fe47a31c2bab, 0x9a6d1c97cec9e570,
0x9e502dd6e931cffc, 0x8c2f35e9b23b3f45, 0x8584c9c3282af82e, 0xd364b4d44623fde0,
0x1cad7f9c6022e019, 0x6328d205c86e1cce, 0x74a0f384023d2b19, 0x6350049a7d30cf50,
0x3abeffe3e641dc37, 0xb1982d27c9b9b133, 0x83381772749cbb67, 0xeb5050c7f7acc2b7,
0xb9c0894d1a2f9e3f, 0x86270204cf47bef5, 0x928359d3b73eb69c, 0xb61022ae57ef1c54,
0xb2e85b983fa28a74, 0xf1b26a64a2556298, 0x706ea3745ebe0c2d, 0x6bdf137cee4b1ca7,
0x82ff6dbf0735f107, 0x3bb7be2a37ed279c, 0xbdedfbd2f533665b, 0x7e19acfc3b7ab1bf,
0x55e30e0aa52f2fff, 0x36a31a4b7a59b650, 0x9be3a1589752495e, 0x5b120348cc395b73,
0x01436a918587a535, 0xa9a89f52ff3d30bc, 0x189b23bf2b7468f2, 0xd75ace8752346e35,
0xea915da0631516bb, 0x664e316ad84c5692, 0x4cc62476b32b1c60, 0x3aabb3b700b43caf,
0xfbc51abc084500bd, 0xd6b8397f0e81ac8f, 0x4dc7afcfe9d37b5d, 0x15628037f268127e,
0xfe9788a1b188edf9, 0x5b14fb987dfdd348, 0xab5f7757050e025f, 0x91963e0a2d10c60a,
0x18b22e86edc3df6d, 0x5bb0484d9b9d72ce, 0xf25061ddf0909ada, 0x9c9b887220fe051e,
0xd247e7ccfcf68352, 0xa0f219759454d79a, 0x6776e4fb90cbd66e, 0x0da20acfb5feff2a,
0x5e4a4791e87dadbc, 0x19473ff9f7516917, 0x5b3bc3911a9a52d0, 0x087e7f095566e796,
0x03a0f41e6242bb41, 0x5877cc6220573d3b, 0x48dc498b265140c4, 0x604a27b73bb80544,
0xbd02edece9139cf0, 0x8c6f50f3d032c038, 0x1f4d2b691d625a3f, 0x8ad337ee55db64ca,
0xa04f6a3f7e828667, 0xbbf93014591bc241, 0x334860806c9bf75a, 0x70acdc497d529d77,
0x63b1c30947407564, 0xd922bb904a6e198c, 0x0f67f19c39c6abff, 0xcccab9aec6e45502,
0x3e2e7b93fadca229, 0x532a14e4bc2e5383, 0xb62ae76373e6ef85, 0xa6da03440554f234,
0x856d0d9620b0eef6, 0x0c6f6ca3a2189406, 0xae27a2779d68d4ff, 0x68e5795483388277,
0x7ef8c35bf6d94d57, 0xc2dcf5ead80d4256, 0xc3dfc1ab7f07e2de, 0x3a689ef56e711c2a,
0xc9880f226c8da978, 0x8c5e7dd2c97a283f, 0x6dd8b5cc6e174d93, 0xe12162e5098bc885,
0x0b7656f641468bf3, 0xfc1d89e93a5ac4a9, 0xb80c7a4945c89348, 0x661c068cdb02a8fd,
0x3449d52bd875961c, 0xefc615255c840f2b, 0x14581bcabaebf4b8, 0xdeeb0a1d6846196e,
0x6504718cb718d2a6, 0x7458c833b16ee8a4, 0x46af57755e4a3042, 0xd9003ece8d48e164,
0x8b497234bd94380d, 0xf6a3d8a16d023dd0, 0x8a8a434f755a507b, 0xcf4cd1e191858dea,
0x83943d4a184f3f6a, 0xb6de61627dfad18d, 0xba24472e8e19330a, 0x81e4a70713be9107,
0xa7431d750b31bd92, 0x1ecbe4d27f9c6a0b, 0x05af46f9b59db433, 0xa330ce3a95348166,
0x50b05d276030dd52, 0x59c83f1b9a572afa, 0xb798b41f2f62f6c6, 0x886b1f3377bee660,
0x247a361319fe3cc1, 0x1ed0bfbba66110e8, 0xb30d1712172942dd, 0x35ff6d0d87f5f362,
0x602ecbd54d91ac0b, 0x6027d9f46849a24b, 0xca2d1a0bf21bcf9f, 0x94cf2758ecb9560f,
0x7c75a404c13809a3, 0x6851fe12538a55d7, 0x5167534be9365c09, 0xce747962fed11088,
0x1abeee155636014a, 0xd53549d52a88a696, 0xe5fdc7637c001165, 0xfa53a788d9104c3a,
0x3f7192826530fb6d, 0xfbac8773a3fa881d, 0x9c73c0dbad46939e, 0xf7c86971b9bd653d,
0x8ca4bacb98b89d8e, 0xa2711e64bc8964e9, 0xdac128b1251c3374, 0x808887d3587f457d,
0x0578e0fcff6951ab, 0xa4067c9563cfea10, 0x2438ef1fc2662bc7, 0x2be6da2b0c8a6df7,
0x6cb6515b6d72f6ae, 0x1465ac34c245d295, 0x7b6ad40d18849950, 0xe4d4ed7932535e69,
0x958ca955742edfea, 0x41b76779856421b7, 0x5144234feb710ac2, 0x3ddf687c6aa5afde,
0x5cf58ac857a9ebc1, 0x0b446b91fd3f3dac, 0x30bf4fec9aceb927, 0x03e1746e379c38c2,
0x1ead3d7506ef0858, 0xde2169e1ff2e3f07, 0xa04e0e9bd63ae7d4, 0xd723ebcff9888de5,
0x07395f4c1f59bb54, 0xf3417285af6c1cf5, 0xcc20b97d1e3cad3f, 0xd523b663f3b96bed,
0xc04d01fe94b6ecb9, 0x737b157fe94a9517, 0x9ae1017eff9e95fe, 0xeedf2b6e5d248ab1,
0x9fea27df0f34066a, 0x9495cc69f5897be5, 0x9e7a431095deb9b6, 0x976e9bdec5665954,
0x6774bb6ea3a41010, 0xb5a3ff40d6976e39, 0x868a2cb72bc2aa24, 0x1327f8d580167076,
0xff516b4eaff277b9, 0x86acef212449afe8, 0x5b05b8d828ebe8f4, 0x2a1086f215d30fc6,
0xb088fcdcff756dc1, 0xd1320bbf14d15d34, 0xc1b54cf7a23aaab7, 0x76df4bcaa135e3af,
0x22394843026fa14e, 0x239717369b5a6f5b, 0x7a65b8de810c53a1, 0x4ea996b735048fbb,
0xc2790bf34d3aaeb1, 0x42b358c25644bf6f, 0x41806749bf33656e, 0xfcabb6b360a938a1,
0xa209fc69b32a7250, 0x540ecff21f17461e, 0x34237448e52bd3c5, 0x86d0fb69cd1686fb,
0xa24cd197524dd615, 0xfcfe89574a078b08, 0xb384bb449a2ccd00, 0x9260df4a6cdfbb60,
0x628f4a903b89bfc7, 0x8c3ae895cd89ce78, 0x52bc23bb6dd7371f, 0x94bad6cceb5770b4,
0x72db9342c4d96ea5, 0xdaada6078904893c, 0x73aa770755161063, 0x6200c141f5ce49de,
0x44dc29a5fcf908b1, 0xf3bf9022243a5674, 0x53e3e214a144a50d, 0x6c4d7f9f9678ab2b,
0xc983b2c47125dbda, 0xb84386319377606f, 0xd72d378cef9714b3, 0xdcbf0d8b0d005988,
0x1bd5a00cf3810641, 0x6e81dfde423dfd05, 0x9c0ffc6a4669cef5, 0x5a07bc6f5fc7cad9,
0x3c05a87171029383, 0xa6bb1ecd838d25ac, 0x2ca784a482e11dbc, 0xfca25c22f3e0a05d,
0x0e7562182788f19c, 0xbc3bfc8fef428b33, 0xde769ed1b9596ac0, 0x3b2c557d379aeb41,
0x3016c4d1f3503870, 0xf7e1e512f711b676, 0xb94a56bfdc097835, 0xcfa602904d20a6dc,
0xa15719e90ddf9aeb, 0xe582939b10f07880, 0xb7ed3569791178bb, 0x0e3237ac0ddb87c1,
0xf7091dad6cc2486b, 0x0457d27d35347a88, 0xd84c0af5df0f78b9, 0xc507c767296db091,
0x3414fb0a26a72e28, 0xe08d8337e5469de6, 0xc8ef52fac6373441, 0x4d60213033451980,
0x140543bfc5b5e8b2, 0xc1a558c89b6128f1, 0x910967cf8bf96cca, 0x6c7b45bff49ee439,
0x1bcbf912b7a1cc1b, 0xfe47f2cde4ddb093, 0x34e1c207dce941ea, 0x7de7624a7b052a90,
0x87913e672762ed9a, 0xd0061b05e28ce326, 0x08571cba21a427f5, 0xa6c037bc60f316cd,
0x7b978502f079dee5, 0x901b9e1856a5037d, 0x70b2b4b6095f179c, 0x4e6a4dc22229ad67,
0x97ae112ec3412f26, 0xdf314ea54317a921, 0x7b735d2260e33b25, 0x6bdaee40c7d82257,
0xce5d31f2c79a204e, 0x5cf8f91b91da5ba2, 0xf5cf0377826d5d98, 0x1fef1277e9d1378e,
0x4bb8bd681ff3d08e, 0x49862a3bbb913e2a, 0x8d43f8638871fd9c, 0x64ecbf9e0183abe7,
0x13912c5d134d9a31, 0x629f1bf407f061d8, 0x6b504da625ff4a7e, 0x22a815d4363bd5fa,
0x74045039b41eaa4a, 0xe92de7096c064de1, 0x3a3172130c23a5d0, 0xd127ca1040853087,
0x3b330584a5dd63d1, 0x84e8dc94ef904232, 0x960072fa3eee3a0d, 0x5fc1519b6cc0a909,
0xa116e3319e3131b5, 0x037cbfc41de366bf, 0xc2050e43acd7d87f, 0x42ea8aab9757c117,
0x40b18c5dfe34d6ba, 0xd97869840f1e6c00, 0xb52027a297d0e333, 0x00f22ab0511f6cfa,
0xe3537bb92658644b, 0x92613f78d00f4fe4, 0xec3b6b6e0dc85ec0, 0xd0268caf36469a59,
0xcb2ccbf84bdb1f8d, 0x491d365afb90a3ab, 0xc4a66a1e6d7bb2b8, 0x57c80d2995a125f2,
0xf5a434e48e0fa362, 0x006787fb608338a0, 0x11cd5e41042da958, 0x5bed15f11ff66fa2,
0x2ea03b577df6667e, 0x13559234530e9bc3, 0x2dec044a47812776, 0x7880017de9bffae2,
0xa1b0fcb4bc9de2d9, 0xaf37057bf722eac9, 0x2b89536c5b66b802, 0xaaf82082b9a6f757,
0xae68a25ceab89cc4, 0xef27d927885febad, 0x5f0314a4808d44ca, 0x89b6ec34f65ce39b,
0x43c1affac5922c55, 0x988016f7505df38c, 0x1f5f19c9b8c2df48, 0x267b299dd8a52172,
0x912902c65159e640, 0x596d08e3aed3a5ab, 0x2466f25ccfa34ab0, 0xdbb56011729db861,
0x16a011f378994c8f, 0x751c09a4583b9274, 0xd2f83628687e76f6, 0xf0ef063e40cfd4f3,
0x4560584cf0fbe4f2, 0xfc0a671fa2c404a0, 0x97a9d9eaea08539f, 0x968fed869ad68bba,
0x2b2a3e3a89797288, 0xdf291180cee6e9a8, 0x199ee4f6cc77f2f3, 0xb1b77cac840aac3f,
0xfbcc922f9e5ee166, 0xb1a9d8bb9f3fedbe, 0x0fc73db4740e9bc2, 0xbab46a53c130a547,
0x68fe84dbdf5211f0, 0x1f0d4340dfad0169, 0x1f89eeef1a392174, 0xec72a0c8991e3e82,
0x73bfba62d6f72057, 0xf2170c6cf8c3a83f, 0x07949703eef32fce, 0x48b78d1069935b23,
0x689bb1fda12bde4d, 0x3f90dc8c95759623, 0x554d254249f90104, 0xe922bba7d3ad3b2b,
0xa869765eeeecf4dd, 0xf54c7e3ed567c4b3, 0x6a5d1a21d56a968c, 0xd7fd2ec024b7614b,
0x6c2f7285684ffc04, 0xbb0d8a86cef640e6, 0xa919dadbeef1a357, 0x426bc7bc63477dea,
0xa5246f31a056bb0e, 0x2e1e6ec4d8171bfb, 0x93acb646499dab68, 0x5b6919d4a6001ac0,
0x96b39bc9c58e87ba, 0x6aa7086f1aa196a0, 0x965b854972c81648, 0xa2e812f20d195d10,
0x8b3e95bd9d2ae66f, 0xaf800082eb3d5abf, 0xbf5100c6eb0265d5, 0x4ff246e3a43817b6,
0x78f0fb470cea9b84, 0x3007a3f9f7f08b54, 0x9a92649c21c82053, 0x0ff1927b87a6afc4,
0x19fe00b920e728e9, 0x0ac0a280535ec4fd, 0x411d37fd5bdec7b7, 0xfd52538c0bfd3f84,
0xde0ac8247803e43c, 0x03cb6a8efec2e6e8, 0x6e1063fe1a824b28, 0x43684a136a1db68b,
0x92e6963267461951, 0x4094e184df0588b6, 0x7626c7aca82e41ff, 0xee108c77a3eb8de8,
0x4da6a71a157e489a, 0x5783c0f67c0a8852, 0xaac779307443dc14, 0xd9b6dfa78ddc092a,
0xf950cb2f056adb8e, 0x0f70b18908caeef7, 0xf13de4a8beb86726, 0x5f4545bc7b51cd96,
0x7ab617c6534f50e9, 0x25bfe7e25ee5d4f4, 0x19a57c3e0180dca9, 0x40676b7e934792c8,
0x1818c7eb11804f13, 0x7b5ab6e7e95e1f14, 0xa459876df80f93de, 0x01bf28031e8c22bd,
0x421fdaf5336e90ba, 0xeb858b705df8ac3b, 0x10ab78a7779d7692, 0xbf497bedfae0e10c,
0x3a87d33617fca31f, 0xc335ec215617f624, 0x156cacfdd063499d, 0xc1825c7f89a77381,
0x046b9232524ffa0c, 0x94c3db6bed91641b, 0xdd3cf98679aafe14, 0xec1a2a4bb8403931,
0xbd292a821da2777d, 0xca6efe1421ee7bfb, 0xb7d3f8057cab37d2, 0x6e5114316bc8803c,
0x4e5f0f6a9bdb923f, 0x0efad2edbb720428, 0xa3ebf4468768b1d6, 0x4e3932aecaae53de,
0x0f2ee639ee2f50b2, 0x6d258c55990155ab, 0x6617a49f13670727, 0xda3c877ba24b3704,
0xff05c1e8788023c3, 0x8fdb437fb4ff505c, 0x402dc3af9258bc83, 0x4c9f5babe515574c,
0x315161857abc74e6, 0xf5239a2f51211fcb, 0x2d13454115b5dcf5, 0x4c9d5ffd636c44d9,
0x759679fb3820b4ac, 0x6157d00b7e6be154, 0xe7ae41546892b795, 0x2c129445c1bc6ce6,
0x69edab403fc67076, 0x1633797e5fa2d6fd, 0x972b26e1820c4f39, 0xb14df5f6ede81514,
0x8b374e08489b3598, 0x9df9dffad20e99a2, 0x4bdd9477400f326b, 0xeefdb2242c5368f1,
0xd50871baf86f3187, 0x468d924244856f79, 0xc5048f63816024b7, 0x29f11355098c5e8d,
0x36fdf0ed9f3604b8, 0x33e044cc51b35e04, 0x030c9e99789cb0f3, 0x93e85531eee55b77,
0x4caf72a73ea01e49, 0x54b8fe828b159c0f, 0x1b78893763bb428a, 0x26576065bf049985,
0x7089ff9a5d93d2ef, 0xe55948711b3fc9aa, 0x73ee71b859068064, 0x90596ff35dff30e4,
0xa8b90cc2bfddf48b, 0x238d343441bcb113, 0x3dcb3d08bf90e6ac, 0x475b494996961dc3,
0x0bdaebd1b22a85fa, 0x487716ca1c030583, 0x3411613568e786be, 0x0c6272b1c032c8d9,
0xebacbfb4bf7efaf1, 0xe5c019e988639c65, 0x7cadf975d350951c, 0xbf5890e724bd6f79,
0xa8ce9ac12918a414, 0xaac7ca874abbcc34, 0x9e5b9c884c77a6ee, 0xaca47bb2a372804e,
0x6bfafc38534e7a73, 0x8aa20df62d0785d4, 0xc354596c4804a8a0, 0x11f64b990a8e944e,
0xd048b5edc61772e2, 0x55c5570e01dded8a, 0xa81666f3006afa8c, 0xdd1b5adb8f94fe73,
0x19e522704d5190d8, 0x3d377668e8e93a72, 0xe8d7120b56bd395f, 0x92df61afd56a9acb,
0x604289e7d323fe6e, 0xbc22caacb84f6b17, 0x25b54ee1c9c6a480, 0x3bb29eeb03d50cf9,
0x40f24e1cb5921858, 0x09067142a033d3f7, 0x44aca7ea2b1ed06e, 0x83869c5472ff8689,
0x5fc247e80ca1392e, 0x9ff46511c371a0c7, 0xd829de1e2e3c888a, 0xe54b8788b4621f79,
0xbe0ac46c5ba02c0c, 0xace826a5cfe6b9f2, 0x6996113fd32f4092, 0xf96eadf18884d3af,
0x77e6a1bf5e6da0d0, 0x180d2bbcd9fe5cf0, 0xafb431c82f533609, 0xe874af2f75b9e653,
0xbe30a4bbe39caade, 0x53254adecdb0a0e3, 0xa77383a42af53bbd, 0x28a83612e56c0b50,
0x2b434bd134d6d9fb, 0xcc9c99ce66301479, 0x038b1b2a55061329, 0x8777d17523b3db6d,
0x15e4b78242f5dce9, 0x8dad3e679a208d27, 0x5ae20a736d20e296, 0x0dac101afd7d7873,
0x8f14a36195941590, 0xa7f8f9e8c9d7b836, 0x38d153caa947ad3a, 0xb477be0e68dcba8c,
0x6dadb71862cc8db8, 0xc17c847232eede89, 0xb5bec1fcce8c82c8, 0x35995be12cc2d38d,
0xfe24d0ac6b54cb61, 0xc47c2da2e09a394b, 0xb4205c9468473d85, 0x9e24d966c7adc5b2,
0x90c948dcd32aa680, 0xa70ad2c006e8c8a8, 0x94e246c515a91c56, 0xc1d79e9b3140be0d,
0x41559ef5d90a9bb6, 0x187ba99f9851ae01, 0xe6309320fd3d822c, 0xb883a69994887b04,
0xd06120a5ffb062e7, 0xde5a295348048260, 0x1b6b2b063210df98, 0xdea44e2478955075,
0xa5c1add5f2089fa6, 0xd99dbc2da1ac2065, 0x615f687ed624f363, 0x8bd2210d82211f52,
0xbb888ca79264ad96, 0x2eec574464ddeb01, 0x6f9c9a8dcd5ded65, 0x5d08f82a2e5b5a4c,
0x904eead81b4ab8d6, 0x9361e2e265189bd0, 0xa13663e8ea34c362, 0x7c71f4f0fbf66013,
0xc6a26a5080e782f3, 0xa114c705bf573de6, 0x08241a66faecd24b, 0x48d1c855eea49ef3,
0x992554d13c859243, 0x297cdbe3273f0378, 0x336256c4155629c9, 0x42dceb3e91e8e464,
0xf4235b6d098e7c20, 0x40fb73730e14e31c, 0x246465622bcfb22e, 0x9bc424a1939a5a6b,
0x81b96309f7a48438, 0x7ce2554aced69cad, 0x2f43e3792cd67327, 0xc133df1044ed8ae7,
0xdf6694c0ff01d3f6, 0xa9f8f681a8cf4e2d, 0x6281794be68dd87d, 0xbdf4b6a12873d4e4,
0x5656fb3fabba5200, 0x0c526cce582a1a80, 0x1c14dc018d39406b, 0x613066a5d182e00e,
0x32b97c1994f5afd3, 0xa6c2765e015abcf1, 0xc29b24c6fa88cb29, 0x6dc38dae844cc570,
0x42e89d5dcfa952e8, 0xc270c5393e2b706f, 0x9765840c4c7ee345, 0x36901f913045a6c3,
0xfc89a26a56f0d15f, 0xa3b90e55647ae7c1, 0xeaa7d9ac0ec235ef, 0xb5cdf0652da81c4e,
0x400add737d0af027, 0x19c1133b09f8a755, 0x9051e7ab527a9eba, 0x15c1cb5a3666c0cd,
0xc081a2b9fc1722a0, 0x7cd59aa9e21c75de, 0x41dbe9df0d0d7da7, 0x9cdba46dd1ed97bf,
0xf8d2805bac5f265e, 0xb4db0cb43360f86c, 0x7856f20ddb5ea18d, 0x52469ac04673bb58,
0xe1d1285a0eaff331, 0x7a56a5801deec2bd, 0x6ce54d35ac3e6c24, 0x76166f682a0c0bb8,
0x13b0231b473f0f42, 0x37ad4c5c3dd7f41c, 0xd2917573078a9177, 0x1482dd3506717799,
0xc25189313bd9aab6, 0xfe897c04673b89d0, 0x4289db8739cd2141, 0xb2e8ffe059173e83,
0xde6518ad3263fe2c, 0x0b95c1e5528edd16, 0x738babcc430cd2c0, 0x4867b783baf44565,
0x6b91e16e3e2f1e54, 0x36def7d01fe5549d, 0xc77bb054fcac8e88, 0x3b734208f5a74c13,
0xfc9fb0ee355fe37f, 0x1d709883a4eac78c, 0xbae05dfdfa33724a, 0xf88ef75c2f849690,
0x1507cb09be47d347, 0x148414e4d18e9dbf, 0xd74f9956764ee015, 0x1db91c80924ec5fa,
0xb1c64da89445c47c, 0x6a2ce728104174cf, 0x02797fb80c55c177, 0x4e1c7a0eb1ec8beb,
0x01c3061d8c4840de, 0x964c13e6fec21fac, 0x84aa25758dc15434, 0x30a319eaff9f6663,
0x2c50885b603cd4ff, 0xb0be8a89da713a8f, 0xaca02b0db40572fa, 0x0ff8f36386d46f79,
0xf5e55796a1f7aef8, 0xffec31a4a7266f7c, 0x79d01c7dfd735c6f, 0x255c4a0b089122d4,
0xc9c3f1ee32953bdd, 0x30d95b3c0d78c4f5, 0x3a6015bbb61ef46f, 0xaf66029648dd1d68,
0xb64ef57abbbd0e06, 0xd63cb049a4758732, 0x76ea17bd1d4210ec, 0x9fa2752f4894b56c,
0x25c8846c10f8d55b, 0x0dfab296cf979189, 0xdf21f4b98c009e68, 0x8435a137f960b35f,
0x5d7eaf3b707d9400, 0xd8111ae74dada1f1, 0x5ab8226aa7da47ba, 0x6b10ea654beaf7b2,
0x784369f5aaf64200, 0xcf142951a084ff54, 0x512befc4573d0c4b, 0xbbdc099e7a6a65a2,
0xea0436889eaf06e0, 0xa366c8b8a54ec18e, 0x67e70ad8773aa6d4, 0x1cdcddf0acddeea4,
0x92bcf3c771cb6125, 0x1e332fa0690063bb, 0x18df0d46a5928472, 0x387ac829666fbd13,
0xae5b4cb847b8b867, 0xfee71fb8c24d53ef, 0xcda3b5e4667156a6, 0xdf87fe30b575305a,
0x35e254eb0ee12877, 0x2cad705906f0df75, 0xe3c80d6fed67696c, 0xed46a7fe556be8ad,
0x6d8953dc010aa60f, 0x070441d8fd47d744, 0xa213b43ac64d036f, 0x893e5d6fee4ef015,
0xe75b3d2b0cb2a7ba, 0x2883df2c1dafee8e, 0x794c6e8be46eb8f8, 0x93bed1e7351a39fd,
0x1a14724246e2c570, 0x08545d4903bc372c, 0x194f4aa832981ba4, 0xd625b8a2814f8584,
0x5b6274a3c48714f7, 0xeb2667e1047ca5a5, 0xc57170180b53ed9c, 0x134009b98a2ac155,
0x946d346d1517bb1b, 0x9e35fbecdd94a50b, 0x0995116db467030c, 0x28e2b1860a96b857,
0x5b678d488ef00e16, 0xe8826c8c3bcce1fe, 0xaeaeecdfe68bb3ca, 0x5e788088f54f4819,
0xb4b336291bf85317, 0xabaa05d858c826eb, 0xef4843261009cdab, 0xbd875991eca352f8,
0xee03701aea6f2c57, 0x4c31ecc7c06937f7, 0x59bfb40953bad9c9, 0x7ab89a63367ba78e,
0x7bac880a27f357ad, 0x501306ce46aaff31, 0x8938e42f27f447d0, 0x9056450e67259fcd,
0x0fea68db6e205d05, 0x47b30c045aa83856, 0x644a43721793c28f, 0x20320ed633c848ea,
0x09a884710925a32e, 0xd739104d0d299654, 0xc5933acd834e50ae, 0x225f8ca6aeab4149,
0x0ceec188bf00786d, 0x85ca981a1af35a4c, 0x196b19b897409e0d, 0xafa55465ab6137c7,
0x0205c6c4aa9b11c5, 0xf7907f349e428b1e, 0xda1b37a73d8b70f7, 0x02c348db7df7f4cc,
0x371b1e154f1d1684, 0x3d5add9cb8475499, 0x69d9a57f95d59449, 0x3cfac6962e9c28e1,
0x4778a67f68b79e5a, 0x893c88409ef7e0da, 0x9378f43b73bdeef6, 0x2f9c8ebf31f7b642,
0x08e42d70e6f3ea28, 0xe9be5adae098f8eb, 0xf51249ba1faa8dc7, 0x6c3585be5ec259ec,
0x70269600f9911f5a, 0x7ea9af5c4f07a942, 0x075b6fc5f75ea390, 0xb21a6e60dfa29682,
0x8c50146f804b1b9f, 0x0464aa73c73e8905, 0x0f49eb00487ad130, 0xd930e7e00697ec39,
0x5167cc479646f250, 0x0d7abc736b7cdf87, 0xdb739ad6072cde57, 0x069b0f39ea3a1416,
0x445a18743fea407f, 0x046e9c093fe700e1, 0xf8e752ee3da3a8c6, 0xf863a70808a74450,
0xa2eb8916cda92cbb, 0x43e3a08c285ced75, 0xa52753033f922225, 0x163e1727f769e03f,
0xedfeae114f39c095, 0xd02157263b636a69, 0xb53e411f438dc707, 0xede4308ec4ac50d4,
0xb995c92e7e4bb094, 0x3c7e41f442461026, 0x83c450fb07c11807, 0xb07f4dc10c5dfb21,
0x1ab433298f8a3408, 0x4c1a42953124a517, 0x868d013a56dce7a8, 0x87f0149aa6e3dc96,
0xe4c68bc17dc5384b, 0xf0da45f665f997e2, 0xe1da31eb3f34c5ec, 0xb6a7d7e229e99c3a,
0xccf77b129fa25ad3, 0xbfbf7f3962b81df4, 0x0c80539e69718dbb, 0x25d5bc9245d1ccb7,
0xd068eafaa29a8ac9, 0xe47bb3e3ea8dbddb, 0x5c8186558455768e, 0x77c9798ddab39717,
0x0c2fb364e736d720, 0x43e5200174a5879f, 0x90a641366f6b258d, 0x650f3cd224809799,
0x3b3cf5f97c1ff1f6, 0x546d3eaad3b6e6ca, 0xd25eaa01b5fa4e8c, 0xd7be540c2775be94,
0x08273d6257920d92, 0xe85d0ee8d94f2602, 0xe5368f9178b01c5c, 0x08ab0975fc6d7f66,
0x36f958744416bbc5, 0x9290415ccc2a10da, 0xd1537fcde590f42f, 0xc16de6457a5585c5,
0xe62ad2b95fa69dac, 0x50af2a68eb8b5056, 0x084fb06391c15569, 0xb4522963fbf9660c,
0x5fe4f1d78ad59f5b, 0x838b1c9179758ddb, 0x55af2eb06635e7ea, 0xfe4adf4dc194a152,
0x24127542657b265d, 0x132bec02a05a6b26, 0x5d08eaac00b41636, 0x765883bac67b1dba,
0x0fdbc4c078ae73af, 0xb641ef36e19644c4, 0x502deafe3ba8b93c, 0x0cb7b96365d59bfc,
0xaa1785724cd42afd, 0xb79df658520bfd8d, 0x8b4ed0a874202b43, 0x896e717dd161eff6,
0x0515b453d9459832, 0xf2f94c55e3500a7c, 0xfa32f25066199447, 0x0bf427f233b9124c,
0x84d39f8df58025fa, 0x8714b1d7dc8b3f83, 0xc18084fa9e8b1eb8, 0x721026b690eea7e4,
0x049f529623a55ee5, 0xe0090e39c816f015, 0x36bb3779466142a2, 0x7b8535433fb93791,
0x9c57bc9d1c208d31, 0x7548447ef77b5d0d, 0xd90049461be45f89, 0xbb9d3bd5ff3d2900,
0xd6b50c63b25bef21, 0xd0ae157cdbefa488, 0xa3b90f2e43d5551d, 0x074c430aea06db50,
0xa11703bce84a7072, 0xe9618cc289c4ecb9, 0xd00304e8d40dd9b8, 0xd55e9e038ad5314a,
0x23bf04ec22e743ff, 0x3d516e9382f736a1, 0x0d381a166b1b4ca1, 0x24c9ca98c7b9ca53,
0xe1c1d830fa7f5ba8, 0x5b675ca5f7bb21c9, 0x9fd1a02cd577544e, 0x6cf499feb06aea50,
0x977dc00c65fd956c, 0x93679772865e409b, 0xaca4e42af914f858, 0x9ee092f92cdb1345,
0x68ac7ca88ac06caf, 0x0af3d8c4dd40c1f9, 0xe7951de435c8283c, 0x97687faea51325ff,
0xe1cc8f3ac35801e6, 0x25ed078bde8dddcc, 0x16ac207d74f0a358, 0xcf7de2add4517fe2,
0x5443b9f7505c49a0, 0x7d485b7a4446761d, 0xde2d75f54692f462, 0x3b7ee4b97a19300d,
0x2dcd3f8deab62f53, 0x10f64eccd4d5661a, 0x158c7a2c76d00abc, 0x7e12b5bcfe939b35,
0xc8a419393bea5e40, 0x2c58e14cf1381f14, 0x64af1d99ee4e06c5, 0xca6fd43dfe3acf31,
0x5fd63bab39eb3c43, 0xaa91f35280f7d9ea, 0xae1bb10c5927526b, 0x8a54be4ac20f48cc,
0x0ae8b4a0bad91751, 0xeb67ff75ee124346, 0x1515546d1e979c55, 0x14f427ea08579062,
0x417221524b32603d, 0x0c07be6363dc5696, 0x3069a027fefdbfcd, 0xde0a8a07c2fee3e2,
0xc59db4df32b08ff7, 0x10fe9fe70a741496, 0x40ce7d70825e87ef, 0xd4ee68a360d4de49,
0x23be82ca13ce0224, 0x4818b61cbd591346, 0x6d6bf93712ce7464, 0x623efd3623df3fcc,
0x49803c72d33329fa, 0xf804762425597656, 0xf394c10d792761ca, 0x9e34c2d7f44c7d24,
0x2befd74db9298810, 0x9425c0dd65402b81, 0x7da3ce88b6b1b56a, 0x1f8c171d276e9577,
0x9f9910e7da773bfc, 0xa5171b7d3ad1037f, 0xbc6e9c797714726a, 0xb6e24b1ec9a08a17,
0x1c96639e95980a01, 0xa3752e0d705a9fc7, 0x1fe5201d22672176, 0x95516019d82e11a9,
0x6215f02966725e56, 0x659d490acaa494c7, 0xe667c001be396dc2, 0x6e280443baf82c2e,
0x5da036f17f4748c4, 0x350e657a1651a233, 0x3057b08db6472855, 0x0e1ac9d88435a912,
0x495aa2f5cc734dc1, 0xdcc0be4798631546, 0xed132b2c7b16ab1f, 0x26167f1e138c72f8,
0xf1cf0c3c0ba50842, 0x7ddcbad78acbdfda, 0xd759ec70663d78d7, 0x9871251848dfa580,
0x4691d4d7ef3eebc5, 0x52d9962c3fe7e406, 0x546a76323ef9c028, 0xf81639a7f4892429,
0x6f47b71fbd2ef211, 0xa9aa1eb5c554759a, 0x5de7c7e8482deb45, 0xd4556bc5748dc84e,
0x720022c1ac31fc1a, 0x8f3117ca2a0325ed, 0x21f1e02fde7327ba, 0xa3591f78e8811dde,
0x041ca47c58c36a1d, 0x0ca3868fba651592, 0xfaafa93e97b50c6e, 0xad2f81dc4e030785,
0x121a888d3fbe356f, 0xf1f665886adfd844, 0x5cd23fccb276cdb2, 0x7cafe4410eb8964b,
0x302a7431516bbfe9, 0x1d9559d87f515393, 0x547b2aa97dabfbed, 0x81f4f876b3516f3c,
0xe455da3cc9d8fbe0, 0x1e43664ba279f7ca, 0xdaba600180ab0825, 0xcf02371835bd53a6,
0x8246c1368ec1bdfa, 0x10ba6cd521dae891, 0x181526480d0b44b3, 0x69341bf7381904d8,
0x5e67552e790493ab, 0x0edb4212b05013d0, 0xc3775c491aef3cc3, 0x5926e8b08d74e5a3,
0x0d360774a0bac8c2, 0x656cf785c1ee5c06, 0xa8cc674b4d56cf35, 0x908a613d6468bcbb,
0x0b9edbebba23c8b2, 0xd2c9f982c2573f1b, 0xda0cf29a4144c5ae, 0xec20e2a2edf03a76,
0x780675bf2762c334, 0xd48b43519b83a6fb, 0x161211289d9e759d, 0x8b4b66c077a71214,
0xb4a3921c4f804865, 0xa27239bb7b5b400d, 0x16f2a7087f051c3e, 0xb5991a243b380571,
0xe5f45026aff515ca, 0xfc037e5923a7bf8f, 0xbac2994a59bef6f6, 0xf0101337c165affb,
0x2569833cfa264583, 0x940b8b0728f5d134, 0xdace65921960a40d, 0x6d97a08ec536e3ac,
0x4d5df696f6657d1d, 0x2e01488e31fd69c1, 0x403bf7aad9fcc776, 0xc9ef410832f57057,
0x100857d549fdadc4, 0xe6be79ee6164bf1f, 0xb1da3093ade11eba, 0x713fc73f8abdf80f,
0xafeda1d704aa6be3, 0xfb185d6153b90797, 0x4263e3770a2e015d, 0x1b1bff41aa946c1e,
0xde832c9b976e57f4, 0x2174681cf8d5188f, 0x1db8756313eddc8c, 0xd6077ccc4237901e,
0xc4d82fc3af0a71b6, 0x9e410189c061f42c, 0x0bc1db01c9b5736e, 0xf3aff6b75046cdfa,
0x5a5b799c8332d991, 0x29e61f65c3a30e2a, 0x8fdb0fb6359909a5, 0xbca4d75d1696fbe0,
0xf081da38d0ab1f14, 0x2182a269101bfdfd, 0x11cef22081aca576, 0x284032f083e6ba2b,
0x6f7ab311b66c126b, 0x78d9b20cd3c2f7b1, 0xd28adc93b1aef8fe, 0xebf4740b50657292,
0xf138efea7d362793, 0x4b18c0cac0220dc7, 0x4a89f79b064e0773, 0xaedbeb1e815005e7,
0x1469009125e8d770, 0x07147fcb58b01491, 0xdc7fc77dea85fa3a, 0xc6907260d9d9f1a6,
0x342d1f2a45dde648, 0x39fc314db048f4ed, 0x03c154254e5a8325, 0x88c9804d83488d1b,
0x7a313aa8bf35d9cf, 0x99e90306963483fd, 0x67fa5dbb3f919a77, 0x15e0ca3d7ceae94a,
0x3b028350feba5ccb, 0x403324d8635462d0, 0x1a852cb0546d4e2d, 0xe3cd388d14232de3,
0xa74f832cf5e103b8, 0x759018226ffe3a9b, 0xbae0641b6d9af50b, 0x88af72c72a1735b9,
0x5a5e3d32754fce68, 0x732aea64c428ddfb, 0x5cdcc140659bb0c7, 0xdb39fbdad503ea86,
0x0e32561516957cda, 0xf8b53d3547794eb5, 0x3903f263c3345c54, 0x95d3257f0813f011,
0x69eb601369497929, 0x48a20bd9a9887f43, 0x297544f583a73551, 0x17e674489f5fe1c1,
0xb4f94fdabcd4437f, 0x469306dcaade1f45, 0x4cca8bc8cea5d7ed, 0xb1e7152e7f812741,
0x78f0b4a3d381c90a, 0x21129b9bf3c19485, 0xa68b422f6b7b5fec, 0xfdfdd1c380283fb5,
0xb3ec690dbe654d44, 0xec02ab714b796f70, 0x53ac4a2792e55174, 0xbe89038f89d8c86a,
0x1637a3045b672422, 0xafa0df471fb15049, 0x86aa975c79b4d651, 0xcec9b5dbd8e3bf68,
0x172ee2e480ddabd3, 0x9e1eefce76c3ed06, 0x1316041826e0925e, 0xf97d6a6c9a680f42,
0x8a57d9591bedc610, 0x24b5e20eb2ab3950, 0x0fae09f6727ca9a5, 0xa08b5adfb61f0ec4,
0x85acb4736927841c, 0xffb27a2605983fe7, 0xdf185bffed6955ef, 0xffd95ddb9dae5f98,
0x98b5e8c6350d660d, 0xffa09cc75b34d34b, 0xf8316acf61a85578, 0xd99da1a593625494,
0xae721eef6ce7e3fd, 0x6e9e8f8a0ace30a6, 0xe310371ca0632214, 0xf011c7362b59c96a,
0x0a2ab5bfdb8579e2, 0x26b735ba43772908, 0x67333142f56ba2e2, 0xf04e6ea0fcb036b2,
0x5cff96ee4f7d2244, 0x1e63f10d32fa09c7, 0x345ef5049d946c83, 0x4755ab79b772bbda,
0x7360ed00b0bd0e98, 0x0f28ce27f81e1146, 0x74f9c03f439ee23e, 0x5bbaf7949ab913e1,
0x760006e8cf8a2d95, 0x73c72c68976f4109, 0xf3c2c188d1fbf78e, 0x7a84450f71b21405,
0x5983b48f4db210c7, 0x6f812aa59a7d0920, 0x6a8d46113fc21984, 0x416e18941b374686,
0x1a2c50d13012687b, 0xd3ea3ea214919d51, 0xb2a4d2fec7145208, 0x0bf1c295fb5ac741,
0xee4852b85bd0c569, 0x5380f776724dbfce, 0x61b1fbb727b42137, 0x13b7317880b932cc,
0x837b8f8051d4929d, 0x6e99b631f89130d7, 0xbd4a1cdd8857c699, 0x1cc4a20351f73f00,
0x57638d9c60b719dc, 0xf6689f77f6f83171, 0xb4df983a0b0bf70f, 0xf59ae1562ba18dae,
0x963bfccccfafc1cf, 0xdb4d2f74d57b2701, 0xaf4a34f60ef9d5ea, 0x6a65ff0450cbcc47,
0xdbd8fbbb0098cad4, 0x5ae79b4296dd9f06, 0x02c3d3db41e352be, 0x3a5a04821d141f3a,
0xe85831b1ac7aabdb, 0x109762a12d49bb88, 0x216d9eff75fb3424, 0x80289341c16292cd,
0xc72ccb89114baf96, 0x7fe7717e3583dd3a, 0xa017fd4711a2aace, 0x7e0e66bffc736322,
0xe9fee601f71953df, 0x87bf9aa7e70e55e3, 0x139b3a8011c7ce57, 0x91a2961d63429fdb,
0xa8b1e5baaf9682f3, 0x778afe6dc054e7e0, 0xf8cd7ac9fbc68977, 0x53c1b40ca51890df,
0xd288bf668e9f8f5e, 0x261ad8d7b74100b2, 0xb995a82fc8fa14c0, 0x2377d33f0c1ebf4a,
0x464466bf2a4f7889, 0x5ea7d2dbed54a6f3, 0x8fc81bfc30701d06, 0xb03c5eeef6d9491f,
0x98337168f7de7c59, 0x91b42b56dadc2f25, 0x7a1f5eaea3222afa, 0xd10464548858fb61,
0x1418513fe2ed3b85, 0x55c29995c9bc85ed, 0x685bb0b9fe5e7831, 0xa55dae869a227f6b,
0x4c23c6d4b18dc335, 0x7efb3cb3192db0b2, 0x58d3b08a0c5a6a9c, 0x39ccf8172529eff4,
0xfa65e19f0a212f2a, 0x6a6538e8335de044, 0x799537d940f69da0, 0x4ef5db64ced9f4aa,
0xdb0c01d97a675467, 0xbf8102c9d27a81df, 0x178a385775b7e807, 0xc0f5708e3b9d4604,
0x18ff1ba6cd444785, 0x17c889fc54ae7388, 0xfed408c5202f3662, 0x0a4e39e0b18f6f00,
0x8a3edf99a8455688, 0x6546ea1100d94444, 0x9c2dd7ca0c519b79, 0xd84353ccd06f0f84,
0x11d184111eb9f9d1, 0x5a5b6e1cc5897e70, 0x25236e1b4b253360, 0x18b1e14ee642f13d,
0x4b55a28e2f0bf78c, 0xd900cd65e3e040c1, 0xab342a44b9cff5ba, 0x4e1abb4c8332da69,
0xca2c506136d968d0, 0x2bd3ea0f4aa52317, 0x6b6fabd4014072ae, 0x4bb7efd95ab6b5bd,
0x9a4d42e391d35275, 0x7d5248093261990d, 0x459e358ea86a3b82, 0xb93f5513a8ef5aae,
0xabfeefba99aadb53, 0x6311aa0de20538d6, 0x0a866343fa38d1c2, 0x3edd188b6daaa7cc,
0x5bb5d9e52aa226a4, 0x91b984d169a77eef, 0xd963dd6d25886c27, 0x8c42c296156a8578,
0x7c06357db744c2ad, 0x63c7554162da41aa, 0xf60042505cd32c4f, 0xfd0d00c0e5d8d81c,
0xb2a86e3e9c492521, 0xa3761921215fe3f9, 0x9a7e85a3f9830186, 0x610455c30b627990,
0x1480519d41b78c8c, 0xacf5fae042f389e1, 0x4e3c71c6a0922b5c, 0x7144a645ef671b9d,
0x7c9caebc6485951c, 0x74f005c17e7643a3, 0xe12c423b59593205, 0xf0747ef10b12aa39,
0x958474cf7aa92777, 0x680739c8ad1b6487, 0x17fb4af6687d0fb9, 0x456782f50a62da25,
0xe6479a255195bd23, 0xd52f7da3dbb62661, 0x43ba9e45d21224c7, 0xa00c85b2f0353eb9,
0x00cc9095afde7f59, 0xb5720c23d85b29bf, 0x98c9aab154ac077a, 0x6bbe875a6c28e02e,
0xd927a64287dcb9e9, 0x88ea4d58e11c8631, 0x47484145e8216bd5, 0xc621e68a8bf5706c,
0xa771bf92bf2cb846, 0x760e8dea5262a69d, 0x3e3e22a211886726, 0x679fba6dc925f014,
0x47776e3fd7fb991e, 0x3426b5650095eac3, 0x05489588d1c7be72, 0x1bb06ce09a1147f5,
0x68784d5b1ecb2f94, 0x3b1fca86e2fd4e86, 0x720b553fe5aa85ef, 0x9b9e9c18c7469115,
0x12e6f7437b91fbec, 0xc2b352a9f774933c, 0xd660ac3a93ca1aa3, 0xa21a8212990eb4a7,
0x2eeadcd367965ab9, 0xe8504b240f220d76, 0xc414c61ae2489c32, 0x343505b24e615a9a,
0xc80504b4b188e4ce, 0x23b4e13ee270db69, 0x9b4a29960eea772f, 0x05f1b1bec2012b2b,
0x9cb5917147ab5e55, 0x9b2e7cf39e67e0b0, 0xce142e9a567f1a3d, 0x492036154bc9385c,
0xc7633ace53e058e5, 0x6ff55315764fb252, 0xb547c490d737bfc1, 0x3ba0dd8c4f1d62ea,
0x98d378f883e9e4fb, 0x3a48637f37dab652, 0x469f122001321551, 0x2fedfc843a1ccc06,
0x9c36b82c6956d6ca, 0x5c33b52e160ec8dc, 0x8892d331b30c4545, 0x6ac22c6dfe8ec1e2,
0xe81ab043d7b9f339, 0x978ebc89af6c6d27, 0xcc346445a73fe790, 0x7260dc1a53e29432,
0x8069447d490b73e6, 0x359fd59be64742c7, 0xd9d800290e0080c6, 0xa07c6ec91e964b92,
0x9595e6d861f38dea, 0x7dcfaf54f9275cb7, 0xfcb0b80701e1fa64, 0xf5111f306a9eeb92,
0xee63cbb405cd4c37, 0xfc53d1887aa00127, 0xc214cc1ec26961af, 0xf2308026c802f880,
0xba076367e293be28, 0x857c09b243c05633, 0x4fb26b28a1c5ad8a, 0xeb5b349b0deefe63,
0xcdb91e9c2fe6c1b6, 0x20a245ba4d49730b, 0xdbfbe0326ff70ba5, 0x2d330e5c629b4218,
0xe642be090ce4a911, 0xb97a6999000ea74f, 0xd051cabe64a9ca18, 0xd3586499ae672f44,
0x0d5d896178b808d7, 0x200ec59f48d0b2d1, 0xe382623ffb86a970, 0xccf0553cb78282df,
0x7f5b621be4082b5c, 0x486caa27a0fb880b, 0x80de1725e7c20169, 0xb0dfbca1c882cfee,
0xc987b1f4d1de4bac, 0xcfa100b3a53b4f59, 0xde0f923a549285dc, 0xef1c52eb27330c7f,
0x0d378305373b8cd2, 0x5f37b8588fe833df, 0x9b74dbe60118b62a, 0xe17599fa643ffb7d,
0x9eb91d4a40f91903, 0x199a5943f8253942, 0x097da93dfc8a0b50, 0xf21ee9d435c5c4f9,
0x8e1e62d9bab403bb, 0x6824104aa8fbdbea, 0x1804a2a0ba867ab4, 0x01c40077c55f9600,
0xa711afc0d8277a6c, 0x1d8cccde407bae46, 0xb1624a5794a1922a, 0x0d395ad2b703fd31,
0x0fc26ea87fc887ef, 0x53fbee0f7bf1d96e, 0x6777b7a2732e76ab, 0xfb4c5b6f3cd92e28,
0xfe5ab944959fb043, 0x3cda7eb55ef8de50, 0x38f3435cae705175, 0x471b3e4925bf69eb,
0xc2f29b5df092023b, 0x495117f926ad4843, 0xf9f95bd69f2c275b, 0x0ed098292c3460aa,
0x07aef0ebd3a20b35, 0x8823a9c27ae892d6, 0x83a0e3380a36e1c9, 0xc1015c4896835b13,
0xe531d415e69369d1, 0x1cee39b21177c203, 0xaf918dcccce417cc, 0x2af0045ad0f4a672,
0x94322d44bab8067b, 0xaa4330dd359fefaa, 0x40ba7e116b3d9b3f, 0x57695ba81d5261a3,
0x7673fbbde34d5f50, 0xa899c1790c552c20, 0xebb9a6b8ea1ea32c, 0x04a686f0cab349c7,
0x2052275a7b642aef, 0x2116b627ba1f9531, 0xa750e257524f611c, 0xa364cb782487ef46,
0xcbb879ded6a5b1f3, 0xbadc046237e53da1, 0x4be9ea6946674874, 0x513be119cc49fdef,
0xd0c9907476489ad2, 0xb0a365a535acc4f8, 0x62f1dc3e1f94aeb4, 0x40b06b62e1829fb1,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0xca542cdb412698f2, 0x4fe1352a149847fd, 0x253c6ab7ff1fe06b, 0x38920a6f5a7b3a7a,
0xc203996f363b0362, 0x3c81172c1bbaefb7, 0xc8ed2c81f0946ee4, 0xcb3ff6929a5b190b,
0x4895710e25ffbc49, 0xebcdf1a88a09b25c, 0x35b2118c1435c20a, 0x3ba2e4a4b73dfcee,
0xc2a4ded28bff63b6, 0xe61e12701546657d, 0x8f9f2e9cc01a8e8d, 0x18fe777d842a4f3a,
0x9354840eb4c6b0be, 0x9580b03bef7770a5, 0x15de050c15dfedfb, 0x722f0d54118855be,
0x8863cc5cdbb80a35, 0xaa3b92204364a650, 0x3dfe40446d3d7a57, 0xafcfedd19bfe7094,
0x107b4dfaa9e1ebbb, 0xf7ee4d8ac4c3d95f, 0x3672ef04d269ad96, 0xbf822abfd1ee162c,
0x5aa76cc7b0d35ffa, 0x069afdbc39a0a204, 0x7e734908f3d1a9ae, 0x10c4def6fdb04a51,
0x621767e85818784b, 0x3f077a9cef83a6aa, 0x3a4f6bd64bc047ff, 0xefc2556901e43847,
0x2ca1842052079a67, 0xa64d538c318f4de8, 0x4d01b97221fa6ce0, 0x2c864d4bd2089e8b,
0x271f45a9b403ad9b, 0xe85ee41a993e2bde, 0x8fdadd5ccead598f, 0xb7617ff66bc46ed8,
0x019379f0caa3154d, 0xb6b2dcd0226711b6, 0x4ee064fd1922c930, 0xfc24496c13763d21,
0x12686aa52b53cf21, 0xab1f72444b0a41b0, 0x43973298a330308f, 0x2b8fca4a350510ae,
0x347df266db8b818d, 0x05e64769b5b46f78, 0x7e4fe50bcffe5021, 0x86afcbf747b0e06d,
0x705802926b26329e, 0x5300a07e90521769, 0x548991830e03a58f, 0x6dcd63c828a15e52,
0x17d6fb7d1b87ebcb, 0x5d9acfc636497674, 0x2cb1261378d4e408, 0x8b6e8f44c354ae5f,
0x197ef54f3e12bff9, 0xf4113093d8f79dcf, 0x13b80cb3995534bd, 0x569d1bf30b0fa502,
0x6430cf726836e5b0, 0x37416f13cabdd815, 0x8ff2dd8ff02f2f3e, 0x24f12eae9ffbbd14,
0x3f67f8b7cd8fe85a, 0x4bd8afebc5171990, 0x298f2ce406588ece, 0x94f408558495097a,
0xc6e61fca75dd4ca8, 0x317ab11d1dca6f51, 0xb59ec9819c0ad1b6, 0x2984fba6501365b9,
0xbf96ec9b6a31c438, 0xacdd91a1bcc69e04, 0xed867b8438b6bca2, 0xaf82c6c039ab82bf,
0x32939903881b4d3f, 0x6dd20ca0b1b5f101, 0xce9ed6af845f2bd9, 0xf2785284257bb443,
0xf0ee36539251aa08, 0x8793ce0c732eca08, 0x1c7d5ba42f94144c, 0x9bf23b4911ed9ee6,
0x8a0ad0b4f553cb88, 0x733229bd5fcb40ce, 0x133b9a981721963f, 0xe33b1e3526647681,
0x7b65cdf437c85fe4, 0x578540579a49545c, 0x43e19c331c054ccf, 0x92d2e7bd80c7147c,
0xd2d531cfbb27f2d9, 0xd57feaf66c2b28c7, 0x75796460aa352884, 0xf4f120c36c2dbae5,
0x9ad43fcc44d3f45e, 0xf5d38b66d62cb6d6, 0xdadfee87d465b416, 0xaefc2efa00e9f86c,
0x029d696c59e2b923, 0xec76f5dc830aae30, 0x57927a620d08b48e, 0x7efe6418968ddec3,
0x3d0fef913c572198, 0x91bde403ca8f6de9, 0x6b92638b515b2fa0, 0x91c2fbeb1b9c2fda,
0xf73cb79442d2a860, 0x5bfa950b9e174ad0, 0x28ae705b9ffa78c2, 0x7c865847d0ff854f,
0x0f96d3f38986420b, 0xa48d049f96a84471, 0x1de174439a27bd9d, 0x0df68ea8e350b163,
0xfad286b116126eb1, 0x83fcc047257596e1, 0x13b83ebfed772458, 0x8212268d3fcdf59c,
0x873ec8347618de7e, 0xcacfd64794de34f7, 0xa304ddcc95a06c83, 0x2054171501db5a99,
0x318e5adeeeac144c, 0x4b18d7be3e724965, 0xb788a118c9d7b8f4, 0xdf2eb71646e07d78,
0x6d2a0e9de16e21ff, 0xf6f57b1b9b2177e5, 0x37cd2d09c4671edc, 0x6ecf09859efc225d,
0xdb61ef4d0d57d7cc, 0xc40b48bc7dc7270f, 0x8f1d12e55f717841, 0x1fb9fd48c8acfa82,
0x3a6cbaf0b992ba43, 0x47b9e4d679e7d89a, 0xbe62a0680083e6bb, 0x021aaeb6bbfc29d5,
0xaa94a8104d39d973, 0xb5d3e8cf62ba3f86, 0xbdadd0b34005543f, 0x00c0bf98e12e1623,
0x0e9f85157ded4102, 0x1ac277a70ef62372, 0x10897f3039068712, 0xc5c7c4517de3a2c5,
0x14eb10e0edfc5b70, 0xd7b6e5cae42d74f1, 0x2b51d550b91638e8, 0x2ea372748bdff08c,
0xdfe62dbb40877573, 0x444eaae83d4b4546, 0x6eecd0b396593df1, 0x6dc6a5e0e8e35123,
0xac56fc243c23829c, 0x866097dd526b74d1, 0x629175c1c1783058, 0xd9f040c7d2f66d09,
0x7252253f6339a75d, 0xbb6829c08e074f3e, 0x9a3586118f393b5b, 0xfd27c71c68996f74,
0x5d10b33a097c0996, 0x06ed99e18b84f700, 0x1085a782307d3f61, 0xeb8c90d62375e292,
0x434dacd0d2954a7f, 0x12f6341e203e26bf, 0xdf9168be72dad9a5, 0x17057cb44bd78cc4,
0xc31debe76ccc90fc, 0xf77fce074c8caa92, 0xb9445e94de3b8bdc, 0xd800a15c6e7452ea,
0xed96f03d68976027, 0xc4d7c6e3af6e8da6, 0xc5b413e4b47fea69, 0x7c4cbaed97d0de9d,
0xf1900c8de14774fc, 0x41426091e5716f61, 0x09ccb84fc40086ae, 0x1cc35e9bf2074776,
0x0a275cf337d59d4b, 0x3974a4298c37468f, 0x95b5ecd44da403d8, 0xc521b62e2d5f614d,
0x8d03224243b244e2, 0xa10d5958a4793089, 0xbc1c5737c81e2047, 0x1bc86bd13dee8d31,
0x34d4e55e8e586b30, 0x5bead4a4439efdd1, 0xc4b2899b5d73d5a4, 0x9bd56aef624255af,
0x0075ba8b8e782b46, 0x31b7001e8972101b, 0xf36e5c0a64c75a01, 0xeeaa9536595276d6,
0x115a9594b45d709c, 0x44bdc8c3ce74b728, 0xc088f6b75307b5db, 0x4ac2ee2ffe352c74,
0xa97b9403f302ade2, 0x99aba346d50e1b64, 0xb0a27d8ecad68e1f, 0xd5c3bce8bf88e176,
0x6238fa7472fc15f8, 0x0193fb0658cfe5cd, 0x6903c93374fab7d2, 0x18d7e2053ec6afef,
0xfcd6cb5e5b6c23ee, 0x80659e2041881669, 0x51a1aa99f6d0557a, 0xb937a825ea1c421e,
0x98f0aa8673807776, 0xeabf7256be842ddf, 0xb6eb56b64f61213e, 0x04c765b283cc018f,
0x181c5c7929caed11, 0x7e730cbba3f24128, 0x2da688955cb1424d, 0xf7ad0cd131bef18e,
0x1506f350b53fa5f0, 0x8b017838727c83ff, 0xd97cc85a86a0dd5b, 0x5fee32732e1e4302,
0xe11eaf20d6abb238, 0xa97d2abc66144aab, 0xc217722da3f9d46a, 0x51557cd7c90a6777,
0xa62e3b5cffb65d08, 0xbf54efa2120417af, 0xcd7badfd7b702402, 0xfe31d5804efcd7a8,
0xc6368d5cadcda961, 0xf59a434768c640f6, 0xe16793a753d53c41, 0x0d3576489244922c,
0x13506238a50eb516, 0x44e4da075a34d5e8, 0x9b84a7383bec0045, 0x3674d61ee7e8705c,
0xa75b6a55bcf296f7, 0xd66564c9f1de1bb9, 0x95e83737db190399, 0x0770b79ac94ff9c3,
0x137d8a91cbd41a4e, 0xb9e3e3b0a6e51450, 0x50086ce0297950c5, 0xd6533927d85dc99c,
0xc57500e690f3d693, 0x2b01b28edb06f16a, 0xc6c35505f54f0469, 0xee6c8a873f429ef6,
0x7d0608e7c0543a50, 0x38d9a23c9156d124, 0x1205602e6fee8755, 0x43ce9325c1c760b2,
0x21c155576dc245ad, 0x363e2170e80e4653, 0x786bd19dc5f25811, 0x5044fd592ebe33f4,
0x8ab1c2ffc39f0bb2, 0xabe586efc3d51956, 0x20b2b427464224d9, 0x0c87d8d88d9545cb,
0x9cac3fd265d1625d, 0x9891a23725ea25c9, 0x66ffdd52250741eb, 0xb2c64e0cffefb8a1,
0x05ff99eb1e80c2aa, 0x127cec655c54c936, 0xb2f409127ac3b569, 0x116010d2dbf26f92,
0xdb0188dc239ce264, 0xab36c117dae86d0d, 0x88e61d55ece6046c, 0x80724e50916fa23e,
0x31849d054fc4c74e, 0xc670b886cde40afb, 0x945839817418daa4, 0x06094f085a390f10,
0x32683e18b94cb90f, 0x13ef55fbb6944cbd, 0xca62067197fc843f, 0xc08b5eb082383aad,
0x4e38f0fbc8038433, 0x421e6f15ab233e2f, 0x86386b85a6ab0e84, 0xc2f40c50e0690bf9,
0xcbbb0b2d762f75ac, 0x8b09a1dd2bd56014, 0xa8fbdd5233605a58, 0xc118b665a0637e2e,
0x09701d3c74682da1, 0x163682ee82212dd7, 0x2c232ca5b26da21d, 0x547ab2a1bc8f7cc9,
0xac198be0512f7d20, 0x7357e9fd307959d0, 0xd567a106b7c0f5bd, 0xdede6eb186aabb16,
0xb211d1a9434d4d7c, 0xca9b3ac5e5da10a8, 0x3fb66834e62859f2, 0x79d1146dbb9f90ca,
0x6a33910ea8c55129, 0x6de8d6ec461559ea, 0x97abfa119f429a89, 0x9de3d9abaa2cc297,
0xeb945077311c0012, 0xfbeae2f7f25ac082, 0x96dcb71bc60e51c2, 0xf118fb542fd24e4e,
0x78b32042a085ec8f, 0x54d8ed659192580b, 0x8491f7c6f1800046, 0x7bf2be50587e2a09,
0x2d53b8eb5462f7b1, 0x36854119cf4b622b, 0x22caf19cec8bc08d, 0x94b5d4232a87e751,
0x8f81507ae939e121, 0x30bbc69ac82212e5, 0xa42c08a88b6b766c, 0xfff9f329b607a353,
0xea741e3c69cd2624, 0x70c14ee756989c78, 0xb3d582694e0e7611, 0x1b92a851488944ab,
0xf139973acc591897, 0x64e8f0a050a51e0b, 0x111f4fe1f6109dda, 0xed5b7498d25606ef,
0x3379a56371b73e60, 0x127ece581b4d8b72, 0x200c404016f88733, 0xcbb09d18513fd83b,
0x4dd4e41bf7ff149c, 0xaef71150b6bb4d3f, 0x803526f19ea4eb9a, 0x86da6c0f9a5837a0,
0x0e43c47ca4251efa, 0x528ba07c02caebd2, 0xb86bff5360b7d3e0, 0x23ac5180b3a95349,
0x4dfae89639b0ab50, 0xc95fe2ba17d790b3, 0xaa48bc568d569677, 0x2ee1cea326184b80,
0x63c255d06574a857, 0x15735e3ab6f36147, 0xd81949e52cb1755c, 0x1f81179b6a0353d0,
0x19d5e9f915fa1858, 0x0a58a1a805728add, 0x8f978ae803aeabf1, 0x1248cd87a505da9b,
0xbafb8459fa942df4, 0x728329d64013de33, 0x8b30f66510d8d73c, 0xf8b8f2c1735e4f01,
0x49303f6a119220c6, 0x166a747d9d88f916, 0x3ff37cfe1e29e0a4, 0x0e95d685b7a21484,
0x3960a2fbc61b07d8, 0xc929f9bf454d7df4, 0x3282129d4295cffb, 0xe79d981b672565f0,
0x7827ab08d65eeaec, 0x78443d7c51db14f8, 0xa4a4dcb4d6839df7, 0xcd2d881119219b8c,
0x0fea66a899b8161a, 0x6b2589fee55fc23a, 0xb6ad6c0155532284, 0xebdb1454f4af90a5,
0xae3519840292d1ec, 0x6ed0c81d39fcf9b4, 0xade582463481c4b8, 0xfc44336057ad370c,
0xc3ff360705b5bbd8, 0x153da7a62e8d7327, 0xb6359dcd0e256812, 0x9224fa49d95d2026,
0x0094863e268530b9, 0x6efc1da7f5a6bf8c, 0x630d58f1bf94d603, 0x2eb084ad3d8cf835,
0x07f945a2098705c7, 0xdf98d91ee25b1dbe, 0xf842bcf61f58c063, 0xd4738b4f8d6f583c,
0x190cd81accdb8cc9, 0xf55feab78d0bc07e, 0xdabde2bab5c1564e, 0xbca9f9f3f35dce81,
0xdba3be7723e54176, 0x2d950165b245c062, 0x9f6362d8e215cc04, 0x5bff2cb0a2bb93c9,
0x173545d3287366c9, 0x9031a75685128ee2, 0x3c090269906b7b2f, 0x856e74e3a3ae3c44,
0x1dcd734b48884f43, 0xf2023762625b45f5, 0x5866b7a6d275b688, 0x7f29417affb6a6c5,
0x47566d33f6b0f081, 0xab1f9b2707276a2b, 0x8dd1f1bac1160a3d, 0x40ce5c896adaeb26,
0xf6bdbc8902691e49, 0xdba94a25ada41840, 0x15984af0862225da, 0x40572febd8dd75c1,
0xbe61829c065dec68, 0x267203788af36c05, 0x47546315b704e9de, 0xf21d43800ac647e3,
0x9ebe53234afed8d1, 0x2bda6f6656dbf042, 0x0f8bd727c21a79a7, 0x88723293822f2d09,
0xfb06991bcb45d108, 0xe6f14dc1ba19da20, 0x486ca02e47aa0175, 0x781fb0b433535498,
0x30e3e14c3968e795, 0x2d149602709817eb, 0x12c98249aa4e87f1, 0x28ad459a6781b897,
0x72856390164c256e, 0x86635d696eb7c609, 0x80a6b2d16e9aa9a9, 0xe809fdf74284de92,
0x75cb37b4c63378a4, 0xe1c6aa91d569422a, 0x5b5b80aa06b28c32, 0xcfcbdb4bba662e57,
0x2390b6068198b4a6, 0xb16193f07607a5c6, 0xaf2160f11896b536, 0x063d67de09590776,
0xe25e62c3c5d11bae, 0xfadc804cdc39b9ee, 0xee360ba293e2c645, 0x10f715fd445808eb,
0x4134c9b9e56af9ca, 0x2a3acb81a167f014, 0x64e31c8eb1b4044a, 0x0c2f9be4775c4de5,
0xe9525bbef12e52f6, 0x42ece0c99a3cb49e, 0xf01ff8d3cc135b4f, 0x017af1916a235a55,
0xfb6e8f4e7551eb5d, 0xc58beacabb45be6f, 0x77793e4973600f88, 0x89fbf9939bb6c8f3,
0xdbfe19cacb4267ab, 0xe5ccb6ea49751abc, 0xb89454f51281f80b, 0x5dc8f49b0cce3a94,
0xc82abc9a6fb024c3, 0x9419e2710009de15, 0x7c2a3546c1c45a28, 0x69abd0296368ae15,
0x8abf7e07389f9810, 0x314dba595bd7bca6, 0xf3a4bff3bdc066cc, 0x2e7d81a6bca963a1,
0x915f1335ff0cdcd8, 0xa21f582338707546, 0x0213931226428eab, 0x178b4509d70c9a9c,
0xe49decc943c93f88, 0xa321327448013ccd, 0x05ecb36cb3bd8d8a, 0xdbee1a9f76bfa274,
0x09c6ad3fcb4aa292, 0x0990d619071787e4, 0x4574986ddb2f6df7, 0x50f81b52aad7396f,
0xb7a324f62ab9c972, 0xa55fbfe48b6c91a8, 0x087fc60d4057f909, 0x4830bdd4ced35346,
0x2cefc2482fd07229, 0xdf36eb0c47598ccf, 0x5c334f62b2c0a6af, 0xffa33dd5f8573feb,
0x768202a17f2458b9, 0xbbff35584af5190a, 0xebfc0313228dbb41, 0x5961861780176fb3,
0xb64f401e44df426d, 0xef26313fc040a9c4, 0xcd30b333da08ef6c, 0x4055d40d836058a6,
0xf5c9482014fa1612, 0x9db0fb44509c0b42, 0x5f67683efe7bec9a, 0x6c00e33642ef399f,
0x68b64050729d50c2, 0x98658a31ac74c9a6, 0x0fac0957602b15f4, 0x0471d04ef3e8b99a,
0x42f5968bc25946f8, 0x1bf3ecd0d48bf648, 0x692232d5cdde7f32, 0x7f3accead8de4db8,
0xc89454a9a00e0ce2, 0x48a3a385e9384751, 0x6a8d8ac180574b04, 0x8daf933b08e7a3d8,
0x0614b6526a4f9335, 0xa685994539540c98, 0x0cd02e6b27b1bdaa, 0x6a8f3e56d3493671,
0xa446c0a40ce7fa36, 0xc4d38bb9377106bc, 0x22d9b40eefece45a, 0x24dfea061770f319,
0x3682d43d9e6acbee, 0x942770aae0ddc133, 0x26fc12a3e06fda22, 0x241ee9a530d815c1,
0x76948e593c5f673a, 0x6e01659071d81d9c, 0xa27bc40353043e00, 0x13382352d181f82f,
0xc12930ded68136e5, 0x82617dcc69f59e4d, 0x98047379ddd48eb2, 0xb68d3a5b7e41b441,
0x83ba4d004b58671a, 0x48a9ff1d39b11592, 0xff2b31e0e41acd76, 0x9812a3bcacbba48f,
0x7ae252b654c75f93, 0x5b21c92cc2d804d6, 0x1a5690931200c763, 0xc5883ef42e6003ca,
0xed2e2ec83e4f5e29, 0xaeea91523734edbc, 0x59435bab3af17f37, 0x680ca8ea3d4c7717,
0xfdc4501d915e7e06, 0xf85e4d35718b829f, 0x79a38d1d00d26f30, 0x6e13412726d655e8,
0x2d33517560e85824, 0x7d75c23eca415688, 0x1c6fa64779c0f0c2, 0x241583ea38d8e6ae,
0xe3506a3b2cd29483, 0x2735b0ae612c0c98, 0xd1f92f0210154fea, 0x6b6879478362463a,
0xe7363375ce994758, 0x58cf74270bd60333, 0x3bfeb9312c30e5be, 0xf7007c76b5e2166e,
0x2cd448787e559029, 0x947e87ebca861a11, 0xb733ed110fd885c3, 0xf995b9bb41e7a875,
0x8174e88e3753fbf4, 0xa0aa7b452c5f7728, 0xee58cbdc163c5d06, 0x76041444fee7668e,
0x4590bb69a1d726c8, 0x3eabacb57bfab13f, 0x7dbbf2caedfde20e, 0xe0abf86b8d4e2992,
0xf4a5ad330b852898, 0x0efb9dd678a25583, 0x6b3452fd8fcb0235, 0x927cc48b883c8223,
0xccffc692d2c931d2, 0x60b4bb1ff16dc08a, 0xdf90b0af11485aa7, 0xac8534e8f65a5e16,
0xaae849df3309931b, 0xdd741e2909d1f3a7, 0x61e5ad18543c4570, 0x17aaea62b07b2fbe,
0x5a1c652afcb897e2, 0x5d8ce4e0fb478381, 0x306f2724cb358cde, 0xb9618e69b272df95,
0xc50f972362c0b896, 0xbe24c6ab4428c6c3, 0xaefa08b4981df8b0, 0x7aa7948f968ed4a3,
0x7360ee23ccdb9bbc, 0xc3c46d28eda07e9a, 0x4df27e8932ce905e, 0xbebb4106419c4753,
0x3e655f66cdbe390a, 0x8b8cf7ce28e69722, 0xf5dba7cd58f45bd1, 0xcc93695a4e3e6770,
0x13d9bd5b97d04dbd, 0x4af9fc4b5859b15c, 0x8d76802c17a65522, 0x1fc5a23adfbe934d,
0xa90840c37ba00cf0, 0x94efd81dfb222d52, 0x2b25b83c4251293f, 0xc7c0f30962aafe4a,
0x577c2bd98de8193c, 0xeab7376deb5b30af, 0xf5f475c788780d03, 0xab255d58f5e540ec,
0xb0b74b76b090ecf4, 0x0da626e359051e2a, 0x20ad1eb96e558789, 0x69c7e6ab03031a96,
0x1185df19dd325fda, 0x75b8672156c80e8e, 0xa7d2bff5e1d61a7f, 0x594ac8c5dd0b8740,
0xf2b1d4ee0474f6b3, 0xe5ccae5f99c9d3f5, 0xc2414fc5edb03443, 0xeb3cae2727007f97,
0x09659277335914ed, 0xf2b436c00758eb47, 0x1ba939696f569cf5, 0x9ab7cc2c54f14cad,
0xa26d3db8f552c0c2, 0x0edf2d2d65c93cd1, 0x189440474eaa6554, 0x20c09ec98b6b0361,
0x58641ac31dd71959, 0x0ef2dfb2dfff77e6, 0x4ff3bd9980f2250e, 0xfd567957cc291983,
0x95d70c47fda7a12b, 0x0cf016143c39f108, 0xf2b24d81e08a5891, 0x36856a3a9128658a,
0xfbd34ea25dd9ccbe, 0x089f4019546ab76c, 0x1cdd49dd02a94e3b, 0x0035ee58b7a0c22e,
0xa51efae6e7d7f46c, 0x09bfeb3e647708ef, 0xf69b13ad1c4db7ce, 0x2159b438ecab21d1,
0x6633c665ee69894a, 0xbf5ef6a780924aac, 0x96ec0ed946877a18, 0x8e3761db8c422725,
0x48c655f96542b2a5, 0x8892187473d2c244, 0x75a6ee7a77450d5b, 0x5526059c2e25af00,
0x7494729b7c6ef1cd, 0x896fa4aabdc51516, 0x199bb9c27ad4fa24, 0xa60207c24311fdc6,
0x198e52bdd066b6aa, 0x613e8de7ecabd481, 0xef288b5957f1b392, 0xf2e0cfaa0973f834,
0x0232bde74c0b5c9a, 0xa0d103e117a48d37, 0xb7ed9cd6736bd5ab, 0x5c90f7b28746db46,
0xc562150857485d1c, 0xe1f62f202bf8f8c3, 0x512a009983bd196e, 0x4f19f7d92fc95681,
0x0ea9a9c5fd9bb708, 0x11af5e653f35510d, 0x37a1106d875cae6b, 0x7076163612b12ac5,
0x1ee1404ee9b490b9, 0xa9046dc945106ec0, 0xdd713f83b7859c48, 0xffb9fefb281beccf,
0x2b566f1497a16fc0, 0xc7223e8a18b4d7fc, 0xec4449a14858a2a0, 0xd29ecf117899038a,
0x324b3ff394ec1485, 0x7f2906de505f280b, 0xeef288159d2264ec, 0x85dfe9b3f9dad94e,
0xe621f1273379d408, 0xb8dce25d03787e7d, 0x9d374dee62bfd534, 0xacdaa8f73d1d1557,
0xd2ba808b409dd3da, 0xedb90c73fad31c76, 0x2efe6e05d258ed58, 0xb655e6e2ce0934dc,
0x248b7a999d7e8a2b, 0xb9981aa22064e91c, 0x9472355b5e0a5ca4, 0x5a29215cf279182d,
0x24d8a12d48f6be15, 0xa07a2b5bd877983c, 0x839e06c59cec3d0f, 0x6282156f61a91fa2,
0x9beb7a65ba82d3ee, 0x77630b01f0383216, 0xb326910c1d0a4022, 0xa4f4cd36ab1d3316,
0xf4f5d62fda6f2d94, 0xced8e9bf22296312, 0xaa8df61ea31aaf62, 0x2e1d4567d585569a,
0x557b28a2d6527810, 0x42e96860b7d12b9e, 0x0315898de306506d, 0xec2506492dbe3307,
0xb01a66ac8046a09f, 0x9fa552e01b6da177, 0x0859d132693b1a39, 0x4ee835c331eecb61,
0x2aa97cd7d615c3fb, 0xe93d661decf44479, 0x3d7dca951befb89d, 0xe962aa4515ffb160,
0x0da9d7026c2da22a, 0x1cd7a55fd12ef9d8, 0x59b614e552dd4e58, 0x13746e7ae220b691,
0x4fc3b4d7914c690d, 0x8ce7f18c3b521f59, 0x5efc0e445d17f956, 0x05f78722453854d3,
0x023d80e01844f5f2, 0x440297cd76cfbff1, 0x5f6e31f1a2c8ef44, 0x8e55ef16f2ae20e0,
0x7641a1f3c2c1739d, 0x5c1647fe253a769f, 0xd67d51e03fe22596, 0x8080116ea94bca94,
0x7f0d9d2b28904537, 0x76a546bb8f44d549, 0x77cf867d6ff10ff5, 0x595c629e3dac6e80,
0x72897264ab1795e5, 0x6596e3f4ea36f4e9, 0xb23d471b5c60b2d9, 0xf72c2f6f987a64b3,
0x313757eeac051c5a, 0x01ebdfd01ccef1e0, 0xa3013edb4eed4b3f, 0xc0c53405c261f40c,
0x9de0ad40ead43585, 0x2a01e3ee9840ad8b, 0x222316a54e72862c, 0x008ab59a7939ba83,
0xafdac7626e1214a4, 0xae1f97acf03f4e5a, 0x643851f70105d89a, 0x20c97b38c9b7edde,
0x84b610b97dbf9b7d, 0xdd2e6e907145f083, 0x90772e49e590687c, 0x21fa461c0d55bb29,
0xa89ba9fec9c119e9, 0x2200577c6d2b0028, 0x6d2e0d621be52090, 0x719b87af6209ad28,
0xbb68ebba5c94b6f7, 0xc50018abcb2c2e95, 0x6bff705f0cb55340, 0x021e0e6efede77a5,
0x8458806ec8ad213a, 0x744d441220bcc135, 0x4dcb18b732218a97, 0x810964a35a1a7054,
0xa60c20e070ac0c7e, 0xfe0b5d813a87bc03, 0xb317d5ada1293804, 0xd247f1bb7a6bd79e,
0x35d4d7627d2845b9, 0x18194abc3f8e889f, 0x8a4fc7259a38ea72, 0xab9c0963d0f279c6,
0x31fd8954d3abc2bd, 0x7bdea8d86f45ee46, 0x790b2dd070d476d3, 0x7e84733265449ae4,
0xda279b5c4107bda8, 0x9ef646f55daec08a, 0x08d6238182ab3a3d, 0xd115ea53861dd161,
0x46fd37826ed49f5b, 0x8bf13396330a2d58, 0xdb242489c6c7baf2, 0x5e425c41cb56bd7f,
0xed3709b31b1b5137, 0x1eaa0a137cd3ff9c, 0xfa70c183b069f825, 0xa6ebb73039531411,
0x0d635666ebadc09b, 0x32fb28967f49b3f9, 0x2f3a89a0bb0c7bef, 0x39a201e9252b9f35,
0xe299b45fa22a6696, 0x5759442df4532210, 0xd2f334bef314a896, 0x14bfbf5ec56a0356,
0xd03a5b56a21f684e, 0x2535e76d44aa3359, 0x9f10b274ba7e68fd, 0x2870f846956d3f03,
0xb98b13b9e69dd7d3, 0x8f2b658e456d8df9, 0x8da93e9e6aa01979, 0xb4e036323883ee18,
0x434d0198206a2f77, 0x7d5e8bc029d0ed33, 0xaba8d55c204720d3, 0xa43ba25296139e33,
0x45b49d723ab649be, 0x78827d0f2d26aa73, 0x3c8d7c52e5db845a, 0xc69a10eb65d5088e,
0x44d8e672769b7154, 0xa09d79fec39bc791, 0xb6e422577f97a75b, 0xae39daf45d318882,
0x1f333fb03546763c, 0x8991ff3d1a1702cf, 0x6fd2aad213e7870f, 0xd52164abe50a8b58,
0x41cbdda07406ee28, 0x5765efe56cfb2406, 0xfd173b286426200e, 0xca95b6946febe63f,
0xd92cc847dd8e1c91, 0x290d3e39b97ba2a1, 0xf259fdc019e36b09, 0xee24204c090124b0,
0xeddc179e981e7f43, 0xd04aece1caf65c0a, 0xa6c52d7d54f66f36, 0x14edb8b3c3ca38e1,
0x84adc30c6d57261b, 0x3e078e1bbbd18dc3, 0x05c807755e414ff6, 0x69ee344b7614302c,
0xd5ddaf802c8616a7, 0xf24562388184a930, 0xdc6774c6bded223d, 0x36c9dd9edb6d374c,
0x8a69fc135d2c3736, 0xe06fbef0c8c1de40, 0x6ad36ba8e15969b7, 0xedbfea7ff81f734c,
0x2c04d6c97a52ec0f, 0x77ce8f388c90ba2c, 0xc5b9037802ae6bc2, 0xf3be49dd89902490,
0xa5562fd8acdf7fba, 0x6e786496659c3e3a, 0xaa73fbc10b15ca9b, 0xab3808f20bb96618,
0xd5af76a2696a45b3, 0xa9a9ba59f5c8d4a1, 0xba4f37cad3000e47, 0xf452fac57a712dbc,
0x6ec63c64ddd05c5a, 0x5ed1ccc4120930a9, 0xc525e9242b7b6b11, 0x05e46865cc9b178d,
0x6cb6167e4cf54c5a, 0x767ffaff8420b992, 0x4db251da2d63b1fd, 0x5d85ce4e4747b9c5,
0xb4c1a526b754e697, 0x20caaf3a153c90d9, 0xa8ce1f3bfadfb338, 0x6975a5cb8c7f2fc3,
0x64ced6e78a4f4a07, 0x86f58968e9bd7c1b, 0xe1be94ea65e267c3, 0x9cce66441c3373db,
0xf9d5fc615fbb4590, 0xfece86266e56c223, 0xba6e9cfe5f4b53b2, 0x542820d4a60d4cbd,
0x353089047bfd66a6, 0x16acfef8a66c5fa0, 0x54234b7996e14f59, 0x178b4eb1cae70d15,
0x343eb676d7d77221, 0xc2d7fa2fe58a8b70, 0x1e934adcc8a15216, 0x48e5ba7391de0ea4,
0x71e5e77974415212, 0x8e916fb9f2bd7d54, 0xf9b462aa2de3037e, 0x237c437ddcf6acbd,
0x79962fc4c49cf427, 0x5fd207fcd9a45592, 0xf5494f2536311c9b, 0xb4caf5b520a95cdf,
0x7963708cf2d50dc3, 0x269c2c9cda4c3442, 0x6dc0a13cd28478e9, 0xb9a999db6710d907,
0x965d39ddd6a6862f, 0x990cac6e42f9bcd7, 0xc2b604dc4aa811c7, 0x4dadd75970bcc69d,
0xb0375275889d4aa2, 0x6222e7797d0a7848, 0x8f37688cc15be1a7, 0xd5441064f503da0f,
0x12a97b9b4d2e0b9f, 0xcfeeaf5959bbe111, 0xc9fee47f3b82f3f2, 0x5a5232b90f558f65,
0x2bcbe0a8534bfca9, 0x9e9ad7503df2212e, 0x5db3a8c53c2622cc, 0x1b5c9fdf31bd1a1c,
0xa42d32d7a37d8406, 0x4c3f5c4a1cc699ba, 0x7a7ad82e4998ab6c, 0x58d345aba5163341,
0x95960ccccbca8c07, 0x3b5de6a1a8631f9a, 0xef51f440afbcbbcf, 0xf2ed17b0e516fd90,
0xef47edbd84a346a7, 0x3239fb7d8727d26a, 0xd2cbb17be874b979, 0x398fa455fce8f9a9,
0x2debfb3897614c22, 0x523133997e7a3508, 0x0e56bbab921e2630, 0xe332c5f953da83a5,
0x90899d3af1c96cba, 0x3b3c2187b1487928, 0xd06e9ff717df6d0b, 0xe38ba14fc6573ef8,
0xe40e3e521b700b13, 0xfcf6b32e574402d3, 0xa9d721a580d91ba3, 0x2e8dc55132619fab,
0x3690b8f5a263aa03, 0xfe6993e227543a5c, 0x3b33dd70f464e221, 0xb8fed1b3cbcb275f,
0xe193a91a8ed73a7c, 0x01477f905eb3c8d2, 0xaaebd3a73936ede5, 0xd002195bb8eab2e9,
0x458b56b3bf8499b2, 0xee8442fce3064224, 0x294014c6cf1921e2, 0xe5a74db989152da0,
0x4449a0d75367ece6, 0x7adb5e646178e7ab, 0x29226d7478671086, 0x420b14b1e0facb4a,
0xba6ec1fe108cfe02, 0x2c8a3356b997a16c, 0x350a3d0cdaf7f94a, 0xc9460fd5b75d22e1,
0x515834ba4aaaaf6d, 0x0445886ec969cd2d, 0x7bcb1ad709e49082, 0x3dddec714da63eef,
0xcd73e4b630eb18ad, 0x0692ffd2899e3912, 0xc034c7d5730f633a, 0xf985ad589d81ffbf,
0xd5fc86c14fd27e82, 0xd18ef06f0105a277, 0x04c63c5931ed15fc, 0xa6804830cd9f2331,
0x4e839a923de2bf15, 0x080fa3bac1dc50ed, 0x4b5e5abd3b0693f0, 0x5e0e00b70da4e695,
0x00c5a8ea9312f9fa, 0xcda9881c1e8a6674, 0x397536e380ab329e, 0x1ed53f8762969718,
0x9f442101f508916f, 0x77304d1a0f514347, 0x22886e73d8e3b0d2, 0xf8c1d26a63a4f264,
0xfe37193ade6c9f52, 0x47f0c10fe1ee9e62, 0x94cc0bd6413f5940, 0x001e2c362dbecc5f,
0xad91f11fa67f55d3, 0x05ebe3bbc72b1d1a, 0x0d035d69733baf72, 0x1df08ddd7e93829b,
0x48bb387a1529db42, 0xa3fa4bfbdaeda1eb, 0x881158cfe779f44a, 0xdcb53eb5b07c0513,
0x63d0aca20746e1aa, 0x083d8d22bc547380, 0xf0ab2ad4e5fd9181, 0x571adb13e629a820,
0x489f5d32e996f0eb, 0x423071d932bf8fb9, 0xec98205eccad710d, 0xfa02d3bc59186241,
0x8d45f25ce5f1ef62, 0x9ea3d1fc4963524a, 0xe07560a0fcd601cc, 0x9a99ba576a2a6135,
0x27ce68c01b275294, 0xc291163d8e5cb923, 0x15517c943cf06d8a, 0xf758b0bfc7db6973,
0x6fa389a0609cb2e3, 0x5d467e3177544945, 0xba0b036d40002949, 0xff464bd941433e41,
0xb7ebb887f127f6b5, 0x9b6f9a4fc4e670e2, 0x86a7547d4cabe301, 0x1fa00e960145b926,
0xa1e65d78c56faf2d, 0xddfd0e51260915d7, 0xb2e365f0095af899, 0x87657f8d29a78178,
0xd7a64b017a17e8d4, 0x804feb49f35e33b4, 0x7af40e23399d65d1, 0x3b3afc51f4fcfb9c,
0x8f64ee6f157bfa6f, 0x6af3b85b5db3fe81, 0x39fcb1fe7def4e6a, 0xdf2e084a2110ff8a,
0x1e2ef6971f16e0e5, 0x0d24a5c000094a14, 0xb9e2d4847f937ea7, 0x93196a75e502a5d5,
0xabdb3f094b23a038, 0x5347cb2d3d7d3dac, 0x2fb4d960a261523d, 0xda116d25859c76d0,
0x7eb64241df444db4, 0x352b982fc4f91e56, 0x1b8574d08f582a81, 0xd85547c95de83669,
0xfc2b976a8e971611, 0x1b6f101599067293, 0x70a87c99a2e40254, 0x5e3ca88b20e6491c,
0xad9bd115056fc1ac, 0x0d4d6d12fc7f30ce, 0x56f7636abd73d903, 0xeeb85919ce21fc5a,
0x40ad65eba458f594, 0x9e02e1513085c280, 0xad4907e90ef70e47, 0x6fe78e839d396975,
0x6df2cf92869528d1, 0xa2a6ae23bf37526e, 0x0971102407dfef53, 0x1f22d89ffae23bd7,
0x90e278c8b777d35a, 0x92a326a7ec229a9a, 0xcae88775c31eeb98, 0xbc17096954d3381a,
0x7104c74b9b70c9c7, 0xebae7d1bdb2a294b, 0xd5ab0b4044b7fc3e, 0x37afc964464381be,
0xaaf57874040bf849, 0x83526e97d73af243, 0xc2ecf434ba31a3e1, 0x392de1defd7a7a37,
0xe805974cc87b393f, 0xebb86ab291bde06a, 0xe02e490d7869aff1, 0x146715cb379858f0,
0x6405cd9d81221023, 0x59ace0405c1fd269, 0x67e024da544a4d4a, 0x3f493b53be229d45,
0x32c9b0675929bdcc, 0x0f2f9b6e2b366815, 0x37e4fedf112c7ce6, 0x00099c88d92eb67f,
0x2f6ab5fd34501946, 0xdf7b1d2a8b6ff8c6, 0xeb7af02dd2fdeb72, 0xe560d7c57385bd39,
0x90213486a5f4e792, 0xa191d1c295c89a0e, 0xdfef91829df74a84, 0x883d2d9feff83efc,
0x7140b6afebbeaaed, 0x9fb857898d9fc352, 0x82415f5b7b99437e, 0x807b6d1a13b0c261,
0x01bce4a93c1a8f05, 0x7418c0f662ae29cf, 0x5b1186423e23ae67, 0xad057894d5aba800,
0xca5f8a94f7181736, 0xa0b7892d0af40287, 0x7f7e8f9cc43bc05a, 0x234082c603f5ea36,
0x58f1ab4049e1c04a, 0xfa5887b9ad27f7bc, 0xae8afb83072054dd, 0x0e8c560c1cc3464d,
0x26d98f4113e90970, 0xe5328645ac5a1526, 0xed80b99145ea1378, 0x439baed52198b536,
0x8830e93aac0319f7, 0x47aaf5a2763b74c1, 0x77ab909ce9b868da, 0x2d0a42cc9fa1b27b,
0xf1d4c25697ab06fe, 0x9f6f2e0a3add1ee0, 0x2e1ba1ae77ece607, 0xf14fc2742cedfddb,
0x4b6723bb9502cf02, 0x37173334ee97501c, 0xf059b30105754744, 0x0aee0a9eaceb15a4,
0x1857f0588bc36324, 0x0d242677361d5d4c, 0x8584ec5264d19375, 0x4439b6a3f09dce90,
0x5c5139426334f49e, 0x87370c15b7592af2, 0xfa4ed67401389d2a, 0x10df13e997a37a10,
0x8592eccecf7a9de4, 0x6897f8a94cf77113, 0xe2db77c6ae0731bc, 0xbe78750195fcaadf,
0x843f78a6af3c8859, 0x3369c71114eb7762, 0x3f5683f3270e44f4, 0xdbd6a1a8a2a76619,
0xb52ccb4b8c2fb4e8, 0xfe2f60c18b9bb11a, 0x5701a268aabb951c, 0x16df69f23d900017,
0x181aec189bb0ef6f, 0x46ade44faea07f86, 0xe30d7a4026b75b3b, 0xcba3fe87c310bbb6,
0x5e76276fb66609ca, 0x6efd398f13bcd754, 0xc1b9ad5d6905f589, 0xba160ae57ee181fb,
0xa14140106b763bf8, 0x194ea43677f34e30, 0xc667c5114eec40ce, 0x49789068a92d1446,
0x84d0c53a0f1363df, 0x3feb5ff45623f3dd, 0x56e81185c273c3f4, 0x69b6e9a3ed5c4d6d,
0x16e655338066c3ea, 0xd96c3912f94fd4e3, 0x936509c46dc217cd, 0xb6828dc765f15219,
0x0f18bd16c04a259a, 0xef2f55fb080016f5, 0x7bb463d37a955682, 0xbcf256277cad00aa,
0x716b49fe3c7447ad, 0x419c16ecb35136c3, 0x5415fbdb428e1a07, 0x47d134c6100b8d27,
0x5be942918fc274cd, 0xc56a9dd95cfb1f85, 0x3adfe008ea36b851, 0x46bfde4354870c20,
0x155b8df6c4b8a2a1, 0x46bbca4cbe7ab4a2, 0x392ae1f3b74805b4, 0xa786e69bba907b03,
0x3e6a07a8dd58d574, 0x0b52af34c7a11851, 0x8aa5e6a774aab7f1, 0xe7c73a7101b60a4e,
0x54c3e9bf07e3eaca, 0x12acee59db65c0d2, 0x40e2b6c5891a34de, 0x62fb0b67e499dec7,
0x37827e3b0da6e0a9, 0x9cf8178c0c3b0de3, 0x37a20ef39d785a86, 0x1ec9f673fac6d41e,
0x9c8d57b4ad98a48c, 0x11be0cc0cf83abaa, 0xf23b110987a85d84, 0xb9a8f66123d74b47,
0xd5701ea405389567, 0xcc6876764a52fda3, 0xd246b8d958ea0547, 0x261f87580478a9f8,
0x81a6c68775ff4e83, 0xfb740135b59ee494, 0x5788f8d4aff26410, 0xa78e99330c0f39a5,
0x1b8a8eacd0524a68, 0xe61a6d89e3d0bf28, 0x052fd9439ca22709, 0xce8968884ef74aa3,
0x867f054c610327f2, 0x4f194ef2f886d6a1, 0x1c138a9f339e7c55, 0xda7111e73c988965,
0xda9eabaacad26fc9, 0x85b12cd7082e95d6, 0x870b154f5dbfa19d, 0x5e0584aa87fcc667,
0x4630a466e2c2f646, 0x0a16bcc533f31bf7, 0xcab259648142ab32, 0x43e563f3f19dcdb2,
0xa7491bed48e1a102, 0xd821ce02c0b736cb, 0xae1a097b0577e13a, 0xb7c598754ffe976b,
0xf87feb4f3e6a9e17, 0x7a121514bb5e58ae, 0x6fdbe1a4e8a5ea2b, 0xa635c475909a83b7,
0x58b84497a777f88e, 0x882bbfac3a103d9c, 0x11d3a1037a19ae74, 0xa8f50f5db2f9793b,
0x6a9374b8499dbde8, 0x2f56917d5a3efbc5, 0x15aaa4936d6ccef4, 0xf267cda6eec7de1f,
0x2e26423634e430ee, 0x4073363ffe09f1b0, 0x63a51c2a59c36938, 0xaf9a4135a748e4b6,
0x7668f07677a55764, 0x919765086a157e10, 0x0fa426c1fdf9ed17, 0x8adc92f83385f03c,
0x2e8757c67bd90b2e, 0xe9dfbcea514936b6, 0x044257b30abd3484, 0xcafb7610ce69f914,
0x8f0b505705fc226a, 0x3db43bae46f2259a, 0xe135386227c8aeb6, 0xf94407a87071abc6,
0x4f44f59283b2c631, 0x3d1c43aee4a54dcf, 0xd95a4ce3ddb58ee3, 0xebb7b58598a496dc,
0x134f392a6647c3a2, 0xb9b31a231abeb2ec, 0xd00dc23b8389d61e, 0x62fa45c1d22af99a,
0xffca039284fa66e0, 0x62aaf428eb30a910, 0xe2bfcd617a80267c, 0x8bbe5a78c96bd308,
0x57ca8f41c25ca19e, 0x75f77472e5bae7f9, 0x5b86fecf23357438, 0xe3fdd099fc5a02e8,
0x1359bc21501aecca, 0xfdb398dbcdf8e7d4, 0xe6546fc40a1ff1c5, 0xb26bad98c677e07a,
0x83d308cdbb85b87c, 0xfa4f9145bdcc3d0b, 0xe468dfbe2d4ba8ad, 0xe653641ae1c545f3,
0xe88e1bb2b60cb491, 0x3491384a2df23957, 0xbf8832f794d9316d, 0x694ff13ea2c65a1b,
0xa3a5655986764018, 0x1cef0cab66214f40, 0x98152f736bf9eacd, 0x1107c6dd2bc5451f,
0x14697bac801c14e1, 0x65d7d9e446a9c064, 0x51000a346a500c68, 0x1a585cc0934137b6,
0x2cf2441f8a1505c8, 0x1b12a69ca1487b98, 0x49d770d40bb1f6cb, 0xe2638905db0d2c6e,
0xeff329b752ec53af, 0x563cec571428aa22, 0xa578a53e8ff5a2f6, 0xf8463f7479a3f4c3,
0x376bddfc21915b24, 0x978ebbc4fa34f93d, 0x0dbdb92e91939e97, 0xe80c9a80a50540d1,
0x4b9603c3cd742132, 0x8f521552b319dcdc, 0x531a619dfae39f54, 0xf445095415959a45,
0x5ce75d4315dfdb9d, 0x52b4426c9876f0e4, 0xdfc0b9790860bf94, 0x90f6862ffa5f4476,
0xa3a5990c442d3b0a, 0x68348653cbb8815c, 0x7e5a6f1db30c07cd, 0x0a139f2d83e7b73f,
0x170d349b1f32455d, 0x13b400ad88593a3b, 0x547ebd2bebda62a5, 0xa93088d09fdad479,
0x467099acdc3f14ae, 0xf756f149a056c976, 0x07b6cb3f6840923a, 0xd34b187ba04003db,
0xcf94df4d0730b5f1, 0x71020802bf84a0d5, 0x48a2a06e0cf33230, 0x0c28769b785c4831,
0x124e7a51a12ada47, 0xde5f3e4bffb5af8c, 0xb6e69b87ffde7173, 0x6294cff861f6e697,
0xebb4c003b89c6963, 0x65603abd917c1f5a, 0x52c96dddf46d9d44, 0x7a64a2d1496746ca,
0xc9dafe3bf3b56b58, 0x9f62fdd2006cc2df, 0x893d571f975b3017, 0xfe2a41bfc0cc119f,
0x3ab341941b5c7f3d, 0xeff1e81829d718e8, 0x6a1b9394171bc4e4, 0xcaee7d319ab6101e,
0x50431a13d323b103, 0xc249dba239e82650, 0xd9d58a2964fc0428, 0x7e2bd2c45eb1db7e,
0x3a4feb66a7849267, 0xbd367f590532fe30, 0x14fa726b7bc21780, 0xf6afe897a3e48b2e,
0x7cee020297670959, 0x15be94fed44d6cc5, 0xc93ba7bd1e4d9989, 0x190c40915487fe04,
0xf87349a71968613f, 0xf3be0d04519c7089, 0x7112722eb374f90a, 0x9354b39a6a9eff54,
0xe4e715db38af8d87, 0x91fc81aa7b1e7e6c, 0xd6be530dfc32c144, 0x95b38bc42a98cc55,
0x6864340363796f53, 0x1e4ab2e5e2586154, 0x7238c14778427b8d, 0x127baf8a81802bc5,
0x71dc19261aa94a9b, 0x7eddc56338fdaa65, 0xff14c4c90f1119dd, 0x109c87ae5843fe67,
0xb1b4ae93b4661a23, 0xf1fb7819a0756819, 0xeb93220394529a64, 0x594295b0063f12ff,
0x171cec42566f3fc0, 0x73f8c43392bc82e6, 0x403d3926ed42a199, 0x971af5cd1475410f,
0x1f0b9af15c6c64b5, 0x015982d1e455c8c2, 0xe205c3b93b4c1e04, 0x61aca977984ed798,
0xcc18424aa9f8a486, 0x8c727eaecd3d18b2, 0xaa58d7d42eefa20d, 0xeca1f676454746e0,
0x138a9393e57eb68e, 0xd45df69342378b64, 0x12db66de05caa0f1, 0xb808bc9e5685694e,
0x11b7fd2f923bc101, 0x8cdc1897c7653012, 0x867dc9e3701c1094, 0x244483d4595a12c7,
0x0a8fc852bd2323ee, 0x600e716e58381826, 0xfdd7f6b3902cd24b, 0xbf9ca3ec9bb96c04,
0xfed1603ffec2c511, 0x63cb4ff3e63cf0e0, 0xebd3738648695187, 0x2043f75469a6905c,
0x0b6e81dd2d8217d5, 0x2d48da5dec78b14c, 0x9ce6fa6545d4d807, 0x39158c2a69a9ff27,
0xab5f7d00d37caaea, 0xb195ca1a18b476a0, 0x215bddb0b84eee7c, 0x75d3ef8363a0d388,
0x2088ab196cd55f04, 0x37fde1657d587f18, 0xe78737679807fb8c, 0xa665b99486e6fdef,
0x871b8dda0c2b7146, 0x4ea57fa53a9de660, 0x8b7becb250b711f4, 0xc2a23f1e79eb1212,
0xea81404d16c921fa, 0x49636a0d4789c880, 0xb238eb1a3983e8af, 0x62a640c5fe793255,
0xb5cf281434ef3d59, 0xae2101903ac510fd, 0xb7c21600defeaca7, 0xf0c9aac47cd67d9d,
0x3e11099413f2bbfc, 0xabb20112d8701c7b, 0xadefee5b8d593c77, 0x1945df112e96b4e1,
0xbb0c6aca887223ab, 0x4f7fc757e43cf788, 0x8f6cac56b106c181, 0x9ea047aac5c53aae,
0x7863ba25bc0002f1, 0x0c5e6d17ace75606, 0xcdeebaf9104b4067, 0xd7dac4ffdf8c2905,
0xd5c41d2f3ca9613a, 0x6bf9d113c08a433f, 0xd8c4c80184056c1d, 0x6c78ed3270b9b6d8,
0xf26042e3b8fd823a, 0xc83a5fb453520ef6, 0x3cafcffecc15e491, 0xb524bb96c2947401,
0x20983e5ee74f6a39, 0xad82b0eefa94e02b, 0xf1a29e2f6b92a996, 0xf6777a3be2517ab5,
0xf8e4991f03e2b986, 0x3dc5714139c599ec, 0xbfa8eb24918e24e7, 0x903e1859346a4c96,
0xebb8ee69bf1bff9f, 0xacb63ff98f273443, 0xe655024ced97b0d8, 0xaf7c8e9c3f80c20d,
0x17d16d12a8cc94ae, 0x2d7241e8a63f9dbb, 0x3bad111dbcef470b, 0xddb43bac81e231a9,
0xca63be00df85463a, 0x13c443f3f2ebe302, 0x83b1ae7f852e447e, 0x2565241e0229bd4a,
0x2a1998b95ef75215, 0xf0b72abf5afcd5f8, 0xed0d5ff3c83ec4d0, 0x88887505fae32502,
0x281a8aae1a865cc5, 0x4d63d8bab4e5f8a5, 0x03d7a249297593f8, 0xfa0a54931d901885,
0x03f3fb7e306903ea, 0x194e2ce31af7f7f6, 0x5bbaafad9b17c94e, 0x712dbf9dab181251,
0xab65ee1fd0784fd1, 0x9a39336c8b6e210d, 0xb2f20378ffeffcb5, 0xe7f0e60fb2caa498,
0x1e68de0090dd83d6, 0x6cc1a8e86c4853d9, 0x53fb424a8e77b2c1, 0xda4d3149515adb1d,
0x35ebeacb5b531b56, 0x2dde9ca9ab6f87e9, 0x184dd222857feb94, 0x2c55f28df31c3a3b,
0xb5d6e441c28db030, 0xc5c70433507739e4, 0xa3d84a5df31e3c34, 0xba6574fda74db917,
0x86ee3300ada0b382, 0xd52440a78d087e66, 0xc940b4ab46d1adaf, 0x06959f9f48a7cb46,
0x9c61ce0c4a169ba5, 0x58bf42533151c1d4, 0xf30c5aa9c4eb272f, 0x6abd22760402947e,
0x7c807415c0175a5e, 0x88272de46d8d7728, 0xc250b67f242c77da, 0xca4d065e326c1ae4,
0xf0995fc38ea7bcc5, 0xe7d7390d1dd21c35, 0x4cbc1eec0a144561, 0x77bb6a58776aa0b8,
0x50d51620d1aafed0, 0xa8f75699dac2b6c7, 0x1ce624835a5de460, 0x41101b81b8e97163,
0x5b6584f07c8b2866, 0x776b86e3e698dc02, 0x4a17a3a874cb3160, 0xe6048956f3a7c6cd,
0xbd3fc7b8cd7307e0, 0x4afb7d1dafcaf706, 0xc10cce67bb6bbdf5, 0x3f89edb5ed7fb283,
0x05f2cc676569bfb8, 0x1076e29528e11d90, 0xc65db64f34a750b6, 0xf34ffeb63c1e0d7f,
0x2e5f461e52bd7dc4, 0xbbb0799e8293da5a, 0x42a0dce540509869, 0x191d477e9e280ee4,
0xdc21b16644658471, 0xc52b43795ed61add, 0xaaaaca7f6c6c1eee, 0x480d72d3111dc6ff,
0x55bbbc36698d2aa4, 0x1f04df2e9708873f, 0x9426cc3670a1b15e, 0x524a21a76af5056a,
0x150ae6fd07f93e40, 0x69b28ba3d7d14982, 0xb49172191743de27, 0x756bbadbe2c33e55,
0xf30e5591ad44518a, 0x04d1bc3ffc1d7e46, 0xd8ab2e8efdf0bdc0, 0xbff538d1e0ef7851,
0x83898ea51c964108, 0xdf1e2668fac26182, 0xa76c253c399f7402, 0x5389735e5cbd4bfd,
0x30a8a5274e40bd27, 0x8247144331a44303, 0x22bb3c9341735c64, 0x3dc19739e6a1819d,
0xed4cd0c59d08a812, 0x646d0f00fb547502, 0x2d041c0229c141ba, 0x4afc31929b1ea2ad,
0x90195a5becda81b2, 0x2cc50b1cac7102f3, 0xa141965dcbf3960a, 0x30347121e789c1a9,
0x991eb3964f651fd1, 0x026a009275b8d959, 0xfe715d97852014c6, 0x3c353c8272a7e04f,
0xe80542cd0ce8a08e, 0xa4e049a8bbe081e7, 0xecc3dc4dbede7a4a, 0xfdb3b51cae71c5a6,
0x0dfbae3b2393c2a5, 0xb257270aad21f33a, 0xfc8c55c002dffd63, 0xa5634df41735fc85,
0x06ee058d20495933, 0xd557443dd34bf962, 0xddb172bfeb877e51, 0x8a2d836c9252857f,
0xd98f4f19f6ff4d29, 0xb2ffd315cd977958, 0x4392581d1ddcc256, 0x981953a1152168a0,
0x11676218b22c47bb, 0x437e936355c99c69, 0xce3e67a67f975d0f, 0xd94ac478182baf6d,
0x1e72a8712c0e1094, 0x526ffc973d59728a, 0xe8de4ff3d76782cd, 0xe051fe503e9d1304,
0x00c1e4b0de42feed, 0xa21819370e4abeda, 0x975bc579bf5c5b37, 0x232e5d34a24842df,
0xfbaca81adaee82de, 0x0f447fd3dcc25a8e, 0x26a04d5eec2dcf88, 0x7ce27c2abc257339,
0xfcee65f724d136b2, 0xb6e7b6dcc42c3b62, 0xd11e605f09ababfa, 0x7d724ac35f2767d8,
0x2bcd6d76ac3feb3e, 0x4d97a36d94eadfda, 0x61b6d3637f5cce92, 0xd90cd9ebf0cd9feb,
0x5944c4d774209e69, 0x2b8c199f2f9cd449, 0xcfdbd3bb25e499d2, 0x5c22ee4e195f0248,
0xee253c7bdb5e65eb, 0xd8d43ae6715b2ea2, 0xb2868617f42ca4ff, 0x6690857cc463533f,
0x005b0303a02f27ee, 0x410969717e432ef5, 0xa650b351025b2680, 0xceb8881349eb377d,
0x9a3d969ca087b1b1, 0x8da924954df86b2e, 0x60074a7ac5554acb, 0xe210859fef7c36a0,
0x1b403176d0454963, 0xb238b8d4c4553aaf, 0x172e037bfec7d771, 0x129d0c3f75da68c7,
0x0881ccce752db1dd, 0xd3b243280608f1ef, 0x1913635cd239a5ed, 0x6c994870809b7bbc,
0x344680ef8fd418bf, 0x46f3feb544e7b9b8, 0x86d9c4f8dae38753, 0x5a9fb822e5ef113e,
0x59d33eaa0e348c8d, 0x66ba5244432972e4, 0xa99ec36e26df8e47, 0x674ff09bf5ce2d5b,
0x3a0c57d06eee0d67, 0x71c97b05f6c5866d, 0x80dd5fa0bf35be4c, 0x13524362ae5f1db4,
0x17dce6e2ae6820ff, 0xc881e83f32221729, 0x7f5553ad2965ac59, 0x8647c7f22907e715,
0x62ef4d3badeb588c, 0x29ecb0c1b24fc1a2, 0xbfe650e4982806f2, 0x2cd405077c358cff,
0x65c2bbe0c43cd919, 0x0e8f35ec30b0bc01, 0x08244de0e4e3a95c, 0x844f73b1f30bacfb,
0xdb85da7657a84717, 0x2f22e93ba6318885, 0xe312b7fc62d993db, 0x7fc93c4904c74f53,
0x2f68fc80f5f115a5, 0x1e8919565eb5687c, 0x4d5204cd5a96b1db, 0x28d3056029c34e40,
0x842e8b14f5725d38, 0xed6e80af169ff711, 0xe36e479519579a2b, 0xf2d9ed21b2570d6e,
0x65d2b078ed0712eb, 0x3a42fc74b41cacc1, 0x7b1f0e56c4b12cdd, 0x4cfac05dd835bea4,
0x5fe32b621ccb8d95, 0x6059259384eac85c, 0x2bc0b612cc22e559, 0x1d31040fcd81859d,
0xaea4e13318cd9fb0, 0x3b53bfb970e86aa3, 0xb2dd16f3bcf7596c, 0xe7537b4c8f0c9501,
0x8a0f824d41213f42, 0xd922ed29c715edbf, 0x79244f20ee30de36, 0xcf523cfba46abf89,
0x896368c1d0be7766, 0x311fd2a367d5082e, 0x8176e7225aea51a9, 0x1757d632d7d98eb7,
0x38c7203051aefe7a, 0x63428c43985e119e, 0xefc79a08daf39ad8, 0x545c1d858784bdb1,
0xf70b98ef0e6eb20b, 0xd5ac8a2229277e40, 0x7764cdd6e4c4b4ba, 0xc856ac44d0224b44,
0xf8c2bafe6cafc3ea, 0x2284959771587488, 0x6d5dadd0470fb8b5, 0x9701a89343c7411d,
0xedebc1114abe1724, 0x091852c6f3fc18d7, 0x5eb0a16d80c5f46c, 0xab9316be0fbcfc4e,
0x805f75e838096030, 0xa1788001b4618dd2, 0x6a506e1266276f20, 0x7384e4321763b344,
0xfed32314e35ed692, 0x1c90e8a85342fb36, 0xc1d600ab95893d69, 0x62e6ecc3dd269d32,
0x291d4115260d0e27, 0xa4596ff520f8da42, 0xd063d8ae070fd080, 0x44520a9da928c6ee,
0xf8530d4ac6992d42, 0xa2bdc07d30cebdc5, 0xc34a56a262d383c6, 0xaade45e868d8e145,
0x9e77a8400a2a2ce9, 0xc5dd100e3a463dd0, 0x39d97c7485c9c11b, 0x90e8791c86b9e9e0,
0xa42815ecba6f6cb0, 0x08a6bf14e6377cc0, 0x243e8ba548085447, 0x76e86de95445e177,
0xc0036c9fd957e7b2, 0x637526fa8d6ac90b, 0xedf07599e940d1d3, 0x41ae5ef4fcad2bb6,
0xa22dd183c1156b76, 0xea799fbe273e62a3, 0xf5c44c7dd4742e12, 0x71f88c2d35182e4b,
0xcba84e538201f7da, 0x91a5dcc5aa8df96c, 0xf559c92da6f130b8, 0x816259eb813ef7ec,
0x921f650abd50e426, 0x9044bc34edcc5427, 0x3ed63258145ded72, 0xed4b39eedb53e444,
0x42ec8eeecd95e973, 0xd8914c22e58535dd, 0x18c89b389ca25e60, 0x835c44d99f443f4c,
0x7aba8cd0ddc0bd5a, 0x9aa1ef2f0e6d2226, 0x49aeea7c96e39f00, 0x0c946447e87ba4b9,
0x6729ca0cb0a7e0d8, 0x20a4833a45b2fdc6, 0xcc5d7491d083ba51, 0x3ad921c0da791eeb,
0x401df7dbd7d6a812, 0xdbfe46a6aca199e6, 0x2c6fadc847580f40, 0x1542a5c83753e9b5,
0x1caa4a2cadf60bea, 0x8781a33a0d88f683, 0xc63a4e33769877e0, 0x9c49622dc5f2ca9d,
0xdcface9923dd98c9, 0x108587d7ace67548, 0x73c785aa0079ed28, 0xd2182bf8ebe7cd17,
0x68202163b7f22d01, 0xaafdb8cea21bc3f1, 0xbe6fb61ba5009f2b, 0xf92a4a43c49c515a,
0xe3565c359e17b346, 0x98c8711a15d4cf01, 0xc3502aa8d2ae83f7, 0x84b1c7694d8ef559,
0xd635f8af5398e3a5, 0x3d7585a1fcdfbbb5, 0x1a0ccfb505725777, 0x3e6b0354a9d27efe,
0x872455abf0543021, 0x172969f5082f8a37, 0xf3f4d526164f46d5, 0x51357ae9b6792730,
0x6d8015674bc66fab, 0x85335775a6e43bb8, 0x7bb30c057cf0e078, 0x1559affa39309efe,
0x9a3590f9a9b550f8, 0x68079f0ccbe8ad58, 0xedf4e5b5adf66113, 0x7912aba0d953f662,
0xc5580366906f02c1, 0xe404d793a1e8fa8e, 0x35a026bb95a255ce, 0x847c7a2231883ab9,
0x566495915cc2f375, 0x23fb0e28199220f1, 0xa2e5b935732ecf02, 0xb0c52902952b53ed,
0xf79872ef461fdfaf, 0x5494638881d2fc86, 0x715d786d7da41de7, 0x95516bbecbfa6167,
0x10ff08a5e22020d9, 0x87e29f27ac6abfed, 0x4b90993591d821fb, 0xf189c6737184285f,
0x108993c4fcc1c5eb, 0xa369dfbe7b6e6871, 0x35d8b0f514abb1d7, 0x73ed1ad3274276d3,
0x40ad8585fedcbfbb, 0x5057cb690e51c590, 0xb0d2d2eb9b130af8, 0x32b160707ed2b251,
0x16568fbb4e7232fb, 0x8dc55110ab248167, 0xbd050e4500865356, 0xa397e5ac5ba2a576,
0xd025614cd01cc80d, 0x5f06d34865819cb5, 0x45c43c3e117c235f, 0x9eed55756efbcc43,
0xa408304fb8305397, 0x00bd449bb5e55004, 0xbbcae7ca38aa6225, 0x0d4ef39450c97860,
0x0cf7cedf683bb133, 0xfff8476a0384a059, 0xe98fb76051b87594, 0x0cd95d0b48b2ddef,
0x9a53aa2693419d79, 0xcf63d8a4ae17f623, 0x56017663a4d4584b, 0xc070a807db611a4c,
0x0acfffea81936050, 0xa4dd81e3c2500ab6, 0x133a72803fc0fd86, 0x0c1d5640fcc6d4eb,
0x9a905acdecd70898, 0x0a832ab0dc91189a, 0xad295fcf00d94c2c, 0x1a7d49153a349d45,
0x7bf859d4478d2bc4, 0xa23d3e001e178dcc, 0x5a19288292119724, 0x7324693c833afcd9,
0x568880c28891762b, 0x791109be7b52d10e, 0xa639fb506e789c6f, 0x68a7fcf408bc1b29,
0x3d4834b0e7b89b03, 0x80378c31b3cb28f1, 0x0b686e2354f0f916, 0x50c7be955debe0e7,
0x73ae40212a7ff22f, 0xa63e52b3efcf14d7, 0xd95fa3f1f0167326, 0x551304b3e157a9bb,
0xc07121222b861230, 0xbd0513345ac59964, 0x8d12404259d7ef1a, 0x963711fc56b526a5,
0xb3b1e9c18fe23068, 0x8063d9b4990cc33c, 0x679270ac2da3d484, 0x248441b37fd4c6c7,
0xdbafabe2989e9b16, 0xf511c53516d8f4c6, 0x643f704d00cdba12, 0x8ff4091defe80837,
0x1d8a18c8e427a49b, 0x3868df864ea6dfe9, 0x580e1923973b6b74, 0xba56b3d778c7a078,
0x420b4960650dae71, 0x433623cc7f8913d8, 0xbb704a1372680a88, 0x105fc46e6c8b393e,
0x6418ce16bcad0851, 0x6351985bffe1f8ba, 0x0409ad4d28d6ccf1, 0xd9147ae04d7a214c,
0xb2c1162a16ffd179, 0xddcd005b7a95897d, 0xfae577761799ce0b, 0x4fc64d6ceceb7197,
0xbb8d887b360dd9b3, 0x8add2612d289471a, 0x025ce64f77577eef, 0x7f33a4942616d6ba,
0x74bafa991fc1ffbd, 0xccf760eda80ef0f6, 0xd6c8749143d46d4b, 0x6f08c4d37213cc69,
0xc290b8ef99f67952, 0xb38641440c0279e5, 0x60e2b64e7674eeee, 0x8de2f124f6efdf5f,
0x9e563a789655d2b1, 0xdb35e26d1dccc985, 0xc2309cf23ff53f61, 0x9495c85069a0bab4,
0x37d0e273fac205f1, 0x675f44fcf7866825, 0x5203cc412fb3bbb2, 0xa142a8c605554b80,
0x26fb5f9ade3f170a, 0x2cd6cb6debc1a7ac, 0xe304c2a6a6add3aa, 0xf47e80b7f8e858d3,
0x80fe2acfa8fd4476, 0xdc60de24b5a6fc19, 0xd298272486d3f8ce, 0x0e047237a77f922e,
0xc4745b35122cc657, 0x06487cb1997bc45d, 0x64e0e41aa72cf6e9, 0x2d02282f99d75823,
0xf81ac1e1d44032ca, 0xf15a03bea3dbed4e, 0xe7c4c1f3346ebf80, 0xf086ac1c39268bec,
0xba0940095584636f, 0x12b274c13fe5bd4e, 0x8bdaa80dfa6d4998, 0x534e403a0cd2be2b,
0x5a3433edfd3918b5, 0x770caf904ba076ff, 0x8557b50ff773270e, 0x0184af3ef759e12c,
0x9a19a234321c833d, 0x7042a8398d4aba7d, 0x5ddc7ea76b0596d0, 0x0801ee3dbaec1ecb,
0xc7b58665a699438b, 0xd08c488c2e397d7a, 0x547d5d536ec45a9a, 0x89c3c359310e93ae,
0x82d394074769230e, 0x331adf7180bff49f, 0x3150d7a6b5d9d7fd, 0x42d603bae42b075b,
0xea6d476bc8779b31, 0x66596427885a80fd, 0xeff1a6307eeb6cba, 0xec651c71b80590b1,
0x423709523bf0ea29, 0x80f0da57ff550b66, 0x0829b599cbd38cde, 0x22fcc23ca86c6d36,
0x14b5678161dc44d1, 0x05a745a52be98f4d, 0x8b93ec98870f8b90, 0xd775534901bf7758,
0xdba89dbbf023f4c6, 0x3d53832454e2ac1f, 0x9f04e6f8558f3d53, 0x97860cb0d21f03c6,
0x4e86931d816a4dd4, 0x6c4042bad608c7c4, 0x4ed848a0213e5856, 0x0b542408eed49bc5,
0x336ed821111c8856, 0x87f61959f2811ec3, 0xdc00afb8c213b638, 0x71a0bcc12922f5ad,
0x3399c168d6098256, 0x001f7bdd3310eb8b, 0xeb7a52be3d826686, 0x4b6fd5d4d8fa5b75,
0x84e06a9ce249fb6b, 0xe98f2f20e139be1a, 0x3bc7736c7928e64a, 0xf5be36ff11a04d6a,
0x0bbaaa244658445d, 0x4131dd1909f86a87, 0x30be054a628ba5ac, 0x769b20fdf83c137a,
0xde68f5981ee65f3c, 0xf533d0a2dfb31792, 0x2c111775770b918e, 0x8b30515fc7f8dd2b,
0x7c589985e06b31fe, 0xa83de698c86d7e89, 0x89373f7d9a6e7297, 0xa2d12871e280ae3f,
0xd4f3b17d43d8256c, 0x9cc26b2ad483ba76, 0xd61867b2dadb4dee, 0x8f39db56af4a87d4,
0x92f8bc892b51faba, 0x41dfa0537b565d27, 0xa178d6bdd3c12f37, 0xec5ba2b64a160d67,
0x766d2432e1fd1294, 0xcbccfbe1cee8ec26, 0xbecca3d1443b58a4, 0x88c4861eb8f2278a,
0x8bb5bae190557746, 0x3b63c532468dd64d, 0x1aa2c322d145d43b, 0x96b2a74655ee197f,
0xefd3f233bc177187, 0x16fb653c3c6eabfb, 0xf4cc9f36d64f4ba2, 0xfa6ba7a73ead99d7,
0xd79e4c6ed4e7c060, 0x778fdc5920d7584a, 0xfd630d6782d4075c, 0xaa2a9f34b8b855e9,
0x772011a98a6fc073, 0x25fc7a0eb613e652, 0xe63467ab90cee061, 0x3b6538372b9fe7b1,
0xbb8132158fd258a6, 0xfe86da623f19c422, 0x5811290e8b89e54e, 0x75a8bf15a08cb3e5
};
|
./openssl/crypto/ec/ec_curve.c | /*
* Copyright 2002-2023 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <string.h>
#include "ec_local.h"
#include <openssl/err.h>
#include <openssl/obj_mac.h>
#include <openssl/objects.h>
#include <openssl/opensslconf.h>
#include "internal/nelem.h"
typedef struct {
int field_type, /* either NID_X9_62_prime_field or
* NID_X9_62_characteristic_two_field */
seed_len, param_len;
unsigned int cofactor; /* promoted to BN_ULONG */
} EC_CURVE_DATA;
/* the nist prime curves */
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 24 * 6];
} _EC_NIST_PRIME_192 = {
{
NID_X9_62_prime_field, 20, 24, 1
},
{
/* seed */
0x30, 0x45, 0xAE, 0x6F, 0xC8, 0x42, 0x2F, 0x64, 0xED, 0x57, 0x95, 0x28,
0xD3, 0x81, 0x20, 0xEA, 0xE1, 0x21, 0x96, 0xD5,
/* p */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
/* a */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC,
/* b */
0x64, 0x21, 0x05, 0x19, 0xE5, 0x9C, 0x80, 0xE7, 0x0F, 0xA7, 0xE9, 0xAB,
0x72, 0x24, 0x30, 0x49, 0xFE, 0xB8, 0xDE, 0xEC, 0xC1, 0x46, 0xB9, 0xB1,
/* x */
0x18, 0x8D, 0xA8, 0x0E, 0xB0, 0x30, 0x90, 0xF6, 0x7C, 0xBF, 0x20, 0xEB,
0x43, 0xA1, 0x88, 0x00, 0xF4, 0xFF, 0x0A, 0xFD, 0x82, 0xFF, 0x10, 0x12,
/* y */
0x07, 0x19, 0x2b, 0x95, 0xff, 0xc8, 0xda, 0x78, 0x63, 0x10, 0x11, 0xed,
0x6b, 0x24, 0xcd, 0xd5, 0x73, 0xf9, 0x77, 0xa1, 0x1e, 0x79, 0x48, 0x11,
/* order */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0x99, 0xDE, 0xF8, 0x36, 0x14, 0x6B, 0xC9, 0xB1, 0xB4, 0xD2, 0x28, 0x31
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 28 * 6];
} _EC_NIST_PRIME_224 = {
{
NID_X9_62_prime_field, 20, 28, 1
},
{
/* seed */
0xBD, 0x71, 0x34, 0x47, 0x99, 0xD5, 0xC7, 0xFC, 0xDC, 0x45, 0xB5, 0x9F,
0xA3, 0xB9, 0xAB, 0x8F, 0x6A, 0x94, 0x8B, 0xC5,
/* p */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x01,
/* a */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFE,
/* b */
0xB4, 0x05, 0x0A, 0x85, 0x0C, 0x04, 0xB3, 0xAB, 0xF5, 0x41, 0x32, 0x56,
0x50, 0x44, 0xB0, 0xB7, 0xD7, 0xBF, 0xD8, 0xBA, 0x27, 0x0B, 0x39, 0x43,
0x23, 0x55, 0xFF, 0xB4,
/* x */
0xB7, 0x0E, 0x0C, 0xBD, 0x6B, 0xB4, 0xBF, 0x7F, 0x32, 0x13, 0x90, 0xB9,
0x4A, 0x03, 0xC1, 0xD3, 0x56, 0xC2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xD6,
0x11, 0x5C, 0x1D, 0x21,
/* y */
0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22, 0xdf, 0xe6,
0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, 0x47, 0x64, 0x44, 0xd5, 0x81, 0x99,
0x85, 0x00, 0x7e, 0x34,
/* order */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0x16, 0xA2, 0xE0, 0xB8, 0xF0, 0x3E, 0x13, 0xDD, 0x29, 0x45,
0x5C, 0x5C, 0x2A, 0x3D
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 48 * 6];
} _EC_NIST_PRIME_384 = {
{
NID_X9_62_prime_field, 20, 48, 1
},
{
/* seed */
0xA3, 0x35, 0x92, 0x6A, 0xA3, 0x19, 0xA2, 0x7A, 0x1D, 0x00, 0x89, 0x6A,
0x67, 0x73, 0xA4, 0x82, 0x7A, 0xCD, 0xAC, 0x73,
/* p */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF,
/* a */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFC,
/* b */
0xB3, 0x31, 0x2F, 0xA7, 0xE2, 0x3E, 0xE7, 0xE4, 0x98, 0x8E, 0x05, 0x6B,
0xE3, 0xF8, 0x2D, 0x19, 0x18, 0x1D, 0x9C, 0x6E, 0xFE, 0x81, 0x41, 0x12,
0x03, 0x14, 0x08, 0x8F, 0x50, 0x13, 0x87, 0x5A, 0xC6, 0x56, 0x39, 0x8D,
0x8A, 0x2E, 0xD1, 0x9D, 0x2A, 0x85, 0xC8, 0xED, 0xD3, 0xEC, 0x2A, 0xEF,
/* x */
0xAA, 0x87, 0xCA, 0x22, 0xBE, 0x8B, 0x05, 0x37, 0x8E, 0xB1, 0xC7, 0x1E,
0xF3, 0x20, 0xAD, 0x74, 0x6E, 0x1D, 0x3B, 0x62, 0x8B, 0xA7, 0x9B, 0x98,
0x59, 0xF7, 0x41, 0xE0, 0x82, 0x54, 0x2A, 0x38, 0x55, 0x02, 0xF2, 0x5D,
0xBF, 0x55, 0x29, 0x6C, 0x3A, 0x54, 0x5E, 0x38, 0x72, 0x76, 0x0A, 0xB7,
/* y */
0x36, 0x17, 0xde, 0x4a, 0x96, 0x26, 0x2c, 0x6f, 0x5d, 0x9e, 0x98, 0xbf,
0x92, 0x92, 0xdc, 0x29, 0xf8, 0xf4, 0x1d, 0xbd, 0x28, 0x9a, 0x14, 0x7c,
0xe9, 0xda, 0x31, 0x13, 0xb5, 0xf0, 0xb8, 0xc0, 0x0a, 0x60, 0xb1, 0xce,
0x1d, 0x7e, 0x81, 0x9d, 0x7a, 0x43, 0x1d, 0x7c, 0x90, 0xea, 0x0e, 0x5f,
/* order */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xC7, 0x63, 0x4D, 0x81, 0xF4, 0x37, 0x2D, 0xDF, 0x58, 0x1A, 0x0D, 0xB2,
0x48, 0xB0, 0xA7, 0x7A, 0xEC, 0xEC, 0x19, 0x6A, 0xCC, 0xC5, 0x29, 0x73
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 66 * 6];
} _EC_NIST_PRIME_521 = {
{
NID_X9_62_prime_field, 20, 66, 1
},
{
/* seed */
0xD0, 0x9E, 0x88, 0x00, 0x29, 0x1C, 0xB8, 0x53, 0x96, 0xCC, 0x67, 0x17,
0x39, 0x32, 0x84, 0xAA, 0xA0, 0xDA, 0x64, 0xBA,
/* p */
0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
/* a */
0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC,
/* b */
0x00, 0x51, 0x95, 0x3E, 0xB9, 0x61, 0x8E, 0x1C, 0x9A, 0x1F, 0x92, 0x9A,
0x21, 0xA0, 0xB6, 0x85, 0x40, 0xEE, 0xA2, 0xDA, 0x72, 0x5B, 0x99, 0xB3,
0x15, 0xF3, 0xB8, 0xB4, 0x89, 0x91, 0x8E, 0xF1, 0x09, 0xE1, 0x56, 0x19,
0x39, 0x51, 0xEC, 0x7E, 0x93, 0x7B, 0x16, 0x52, 0xC0, 0xBD, 0x3B, 0xB1,
0xBF, 0x07, 0x35, 0x73, 0xDF, 0x88, 0x3D, 0x2C, 0x34, 0xF1, 0xEF, 0x45,
0x1F, 0xD4, 0x6B, 0x50, 0x3F, 0x00,
/* x */
0x00, 0xC6, 0x85, 0x8E, 0x06, 0xB7, 0x04, 0x04, 0xE9, 0xCD, 0x9E, 0x3E,
0xCB, 0x66, 0x23, 0x95, 0xB4, 0x42, 0x9C, 0x64, 0x81, 0x39, 0x05, 0x3F,
0xB5, 0x21, 0xF8, 0x28, 0xAF, 0x60, 0x6B, 0x4D, 0x3D, 0xBA, 0xA1, 0x4B,
0x5E, 0x77, 0xEF, 0xE7, 0x59, 0x28, 0xFE, 0x1D, 0xC1, 0x27, 0xA2, 0xFF,
0xA8, 0xDE, 0x33, 0x48, 0xB3, 0xC1, 0x85, 0x6A, 0x42, 0x9B, 0xF9, 0x7E,
0x7E, 0x31, 0xC2, 0xE5, 0xBD, 0x66,
/* y */
0x01, 0x18, 0x39, 0x29, 0x6a, 0x78, 0x9a, 0x3b, 0xc0, 0x04, 0x5c, 0x8a,
0x5f, 0xb4, 0x2c, 0x7d, 0x1b, 0xd9, 0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b,
0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17, 0x27, 0x3e, 0x66, 0x2c, 0x97, 0xee,
0x72, 0x99, 0x5e, 0xf4, 0x26, 0x40, 0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad,
0x07, 0x61, 0x35, 0x3c, 0x70, 0x86, 0xa2, 0x72, 0xc2, 0x40, 0x88, 0xbe,
0x94, 0x76, 0x9f, 0xd1, 0x66, 0x50,
/* order */
0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFA, 0x51, 0x86,
0x87, 0x83, 0xBF, 0x2F, 0x96, 0x6B, 0x7F, 0xCC, 0x01, 0x48, 0xF7, 0x09,
0xA5, 0xD0, 0x3B, 0xB5, 0xC9, 0xB8, 0x89, 0x9C, 0x47, 0xAE, 0xBB, 0x6F,
0xB7, 0x1E, 0x91, 0x38, 0x64, 0x09
}
};
# ifndef FIPS_MODULE
/* the x9.62 prime curves (minus the nist prime curves) */
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 24 * 6];
} _EC_X9_62_PRIME_192V2 = {
{
NID_X9_62_prime_field, 20, 24, 1
},
{
/* seed */
0x31, 0xA9, 0x2E, 0xE2, 0x02, 0x9F, 0xD1, 0x0D, 0x90, 0x1B, 0x11, 0x3E,
0x99, 0x07, 0x10, 0xF0, 0xD2, 0x1A, 0xC6, 0xB6,
/* p */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
/* a */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC,
/* b */
0xCC, 0x22, 0xD6, 0xDF, 0xB9, 0x5C, 0x6B, 0x25, 0xE4, 0x9C, 0x0D, 0x63,
0x64, 0xA4, 0xE5, 0x98, 0x0C, 0x39, 0x3A, 0xA2, 0x16, 0x68, 0xD9, 0x53,
/* x */
0xEE, 0xA2, 0xBA, 0xE7, 0xE1, 0x49, 0x78, 0x42, 0xF2, 0xDE, 0x77, 0x69,
0xCF, 0xE9, 0xC9, 0x89, 0xC0, 0x72, 0xAD, 0x69, 0x6F, 0x48, 0x03, 0x4A,
/* y */
0x65, 0x74, 0xd1, 0x1d, 0x69, 0xb6, 0xec, 0x7a, 0x67, 0x2b, 0xb8, 0x2a,
0x08, 0x3d, 0xf2, 0xf2, 0xb0, 0x84, 0x7d, 0xe9, 0x70, 0xb2, 0xde, 0x15,
/* order */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE,
0x5F, 0xB1, 0xA7, 0x24, 0xDC, 0x80, 0x41, 0x86, 0x48, 0xD8, 0xDD, 0x31
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 24 * 6];
} _EC_X9_62_PRIME_192V3 = {
{
NID_X9_62_prime_field, 20, 24, 1
},
{
/* seed */
0xC4, 0x69, 0x68, 0x44, 0x35, 0xDE, 0xB3, 0x78, 0xC4, 0xB6, 0x5C, 0xA9,
0x59, 0x1E, 0x2A, 0x57, 0x63, 0x05, 0x9A, 0x2E,
/* p */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
/* a */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC,
/* b */
0x22, 0x12, 0x3D, 0xC2, 0x39, 0x5A, 0x05, 0xCA, 0xA7, 0x42, 0x3D, 0xAE,
0xCC, 0xC9, 0x47, 0x60, 0xA7, 0xD4, 0x62, 0x25, 0x6B, 0xD5, 0x69, 0x16,
/* x */
0x7D, 0x29, 0x77, 0x81, 0x00, 0xC6, 0x5A, 0x1D, 0xA1, 0x78, 0x37, 0x16,
0x58, 0x8D, 0xCE, 0x2B, 0x8B, 0x4A, 0xEE, 0x8E, 0x22, 0x8F, 0x18, 0x96,
/* y */
0x38, 0xa9, 0x0f, 0x22, 0x63, 0x73, 0x37, 0x33, 0x4b, 0x49, 0xdc, 0xb6,
0x6a, 0x6d, 0xc8, 0xf9, 0x97, 0x8a, 0xca, 0x76, 0x48, 0xa9, 0x43, 0xb0,
/* order */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0x7A, 0x62, 0xD0, 0x31, 0xC8, 0x3F, 0x42, 0x94, 0xF6, 0x40, 0xEC, 0x13
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 30 * 6];
} _EC_X9_62_PRIME_239V1 = {
{
NID_X9_62_prime_field, 20, 30, 1
},
{
/* seed */
0xE4, 0x3B, 0xB4, 0x60, 0xF0, 0xB8, 0x0C, 0xC0, 0xC0, 0xB0, 0x75, 0x79,
0x8E, 0x94, 0x80, 0x60, 0xF8, 0x32, 0x1B, 0x7D,
/* p */
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00,
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
/* a */
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00,
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC,
/* b */
0x6B, 0x01, 0x6C, 0x3B, 0xDC, 0xF1, 0x89, 0x41, 0xD0, 0xD6, 0x54, 0x92,
0x14, 0x75, 0xCA, 0x71, 0xA9, 0xDB, 0x2F, 0xB2, 0x7D, 0x1D, 0x37, 0x79,
0x61, 0x85, 0xC2, 0x94, 0x2C, 0x0A,
/* x */
0x0F, 0xFA, 0x96, 0x3C, 0xDC, 0xA8, 0x81, 0x6C, 0xCC, 0x33, 0xB8, 0x64,
0x2B, 0xED, 0xF9, 0x05, 0xC3, 0xD3, 0x58, 0x57, 0x3D, 0x3F, 0x27, 0xFB,
0xBD, 0x3B, 0x3C, 0xB9, 0xAA, 0xAF,
/* y */
0x7d, 0xeb, 0xe8, 0xe4, 0xe9, 0x0a, 0x5d, 0xae, 0x6e, 0x40, 0x54, 0xca,
0x53, 0x0b, 0xa0, 0x46, 0x54, 0xb3, 0x68, 0x18, 0xce, 0x22, 0x6b, 0x39,
0xfc, 0xcb, 0x7b, 0x02, 0xf1, 0xae,
/* order */
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0x7F, 0xFF, 0xFF, 0x9E, 0x5E, 0x9A, 0x9F, 0x5D, 0x90, 0x71, 0xFB, 0xD1,
0x52, 0x26, 0x88, 0x90, 0x9D, 0x0B
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 30 * 6];
} _EC_X9_62_PRIME_239V2 = {
{
NID_X9_62_prime_field, 20, 30, 1
},
{
/* seed */
0xE8, 0xB4, 0x01, 0x16, 0x04, 0x09, 0x53, 0x03, 0xCA, 0x3B, 0x80, 0x99,
0x98, 0x2B, 0xE0, 0x9F, 0xCB, 0x9A, 0xE6, 0x16,
/* p */
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00,
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
/* a */
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00,
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC,
/* b */
0x61, 0x7F, 0xAB, 0x68, 0x32, 0x57, 0x6C, 0xBB, 0xFE, 0xD5, 0x0D, 0x99,
0xF0, 0x24, 0x9C, 0x3F, 0xEE, 0x58, 0xB9, 0x4B, 0xA0, 0x03, 0x8C, 0x7A,
0xE8, 0x4C, 0x8C, 0x83, 0x2F, 0x2C,
/* x */
0x38, 0xAF, 0x09, 0xD9, 0x87, 0x27, 0x70, 0x51, 0x20, 0xC9, 0x21, 0xBB,
0x5E, 0x9E, 0x26, 0x29, 0x6A, 0x3C, 0xDC, 0xF2, 0xF3, 0x57, 0x57, 0xA0,
0xEA, 0xFD, 0x87, 0xB8, 0x30, 0xE7,
/* y */
0x5b, 0x01, 0x25, 0xe4, 0xdb, 0xea, 0x0e, 0xc7, 0x20, 0x6d, 0xa0, 0xfc,
0x01, 0xd9, 0xb0, 0x81, 0x32, 0x9f, 0xb5, 0x55, 0xde, 0x6e, 0xf4, 0x60,
0x23, 0x7d, 0xff, 0x8b, 0xe4, 0xba,
/* order */
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0x80, 0x00, 0x00, 0xCF, 0xA7, 0xE8, 0x59, 0x43, 0x77, 0xD4, 0x14, 0xC0,
0x38, 0x21, 0xBC, 0x58, 0x20, 0x63
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 30 * 6];
} _EC_X9_62_PRIME_239V3 = {
{
NID_X9_62_prime_field, 20, 30, 1
},
{
/* seed */
0x7D, 0x73, 0x74, 0x16, 0x8F, 0xFE, 0x34, 0x71, 0xB6, 0x0A, 0x85, 0x76,
0x86, 0xA1, 0x94, 0x75, 0xD3, 0xBF, 0xA2, 0xFF,
/* p */
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00,
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
/* a */
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00,
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC,
/* b */
0x25, 0x57, 0x05, 0xFA, 0x2A, 0x30, 0x66, 0x54, 0xB1, 0xF4, 0xCB, 0x03,
0xD6, 0xA7, 0x50, 0xA3, 0x0C, 0x25, 0x01, 0x02, 0xD4, 0x98, 0x87, 0x17,
0xD9, 0xBA, 0x15, 0xAB, 0x6D, 0x3E,
/* x */
0x67, 0x68, 0xAE, 0x8E, 0x18, 0xBB, 0x92, 0xCF, 0xCF, 0x00, 0x5C, 0x94,
0x9A, 0xA2, 0xC6, 0xD9, 0x48, 0x53, 0xD0, 0xE6, 0x60, 0xBB, 0xF8, 0x54,
0xB1, 0xC9, 0x50, 0x5F, 0xE9, 0x5A,
/* y */
0x16, 0x07, 0xe6, 0x89, 0x8f, 0x39, 0x0c, 0x06, 0xbc, 0x1d, 0x55, 0x2b,
0xad, 0x22, 0x6f, 0x3b, 0x6f, 0xcf, 0xe4, 0x8b, 0x6e, 0x81, 0x84, 0x99,
0xaf, 0x18, 0xe3, 0xed, 0x6c, 0xf3,
/* order */
0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0x7F, 0xFF, 0xFF, 0x97, 0x5D, 0xEB, 0x41, 0xB3, 0xA6, 0x05, 0x7C, 0x3C,
0x43, 0x21, 0x46, 0x52, 0x65, 0x51
}
};
#endif /* FIPS_MODULE */
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 32 * 6];
} _EC_X9_62_PRIME_256V1 = {
{
NID_X9_62_prime_field, 20, 32, 1
},
{
/* seed */
0xC4, 0x9D, 0x36, 0x08, 0x86, 0xE7, 0x04, 0x93, 0x6A, 0x66, 0x78, 0xE1,
0x13, 0x9D, 0x26, 0xB7, 0x81, 0x9F, 0x7E, 0x90,
/* p */
0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
/* a */
0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC,
/* b */
0x5A, 0xC6, 0x35, 0xD8, 0xAA, 0x3A, 0x93, 0xE7, 0xB3, 0xEB, 0xBD, 0x55,
0x76, 0x98, 0x86, 0xBC, 0x65, 0x1D, 0x06, 0xB0, 0xCC, 0x53, 0xB0, 0xF6,
0x3B, 0xCE, 0x3C, 0x3E, 0x27, 0xD2, 0x60, 0x4B,
/* x */
0x6B, 0x17, 0xD1, 0xF2, 0xE1, 0x2C, 0x42, 0x47, 0xF8, 0xBC, 0xE6, 0xE5,
0x63, 0xA4, 0x40, 0xF2, 0x77, 0x03, 0x7D, 0x81, 0x2D, 0xEB, 0x33, 0xA0,
0xF4, 0xA1, 0x39, 0x45, 0xD8, 0x98, 0xC2, 0x96,
/* y */
0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b, 0x8e, 0xe7, 0xeb, 0x4a,
0x7c, 0x0f, 0x9e, 0x16, 0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce,
0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf5,
/* order */
0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xBC, 0xE6, 0xFA, 0xAD, 0xA7, 0x17, 0x9E, 0x84,
0xF3, 0xB9, 0xCA, 0xC2, 0xFC, 0x63, 0x25, 0x51
}
};
#ifndef FIPS_MODULE
/* the secg prime curves (minus the nist and x9.62 prime curves) */
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 14 * 6];
} _EC_SECG_PRIME_112R1 = {
{
NID_X9_62_prime_field, 20, 14, 1
},
{
/* seed */
0x00, 0xF5, 0x0B, 0x02, 0x8E, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61,
0x51, 0x75, 0x29, 0x04, 0x72, 0x78, 0x3F, 0xB1,
/* p */
0xDB, 0x7C, 0x2A, 0xBF, 0x62, 0xE3, 0x5E, 0x66, 0x80, 0x76, 0xBE, 0xAD,
0x20, 0x8B,
/* a */
0xDB, 0x7C, 0x2A, 0xBF, 0x62, 0xE3, 0x5E, 0x66, 0x80, 0x76, 0xBE, 0xAD,
0x20, 0x88,
/* b */
0x65, 0x9E, 0xF8, 0xBA, 0x04, 0x39, 0x16, 0xEE, 0xDE, 0x89, 0x11, 0x70,
0x2B, 0x22,
/* x */
0x09, 0x48, 0x72, 0x39, 0x99, 0x5A, 0x5E, 0xE7, 0x6B, 0x55, 0xF9, 0xC2,
0xF0, 0x98,
/* y */
0xa8, 0x9c, 0xe5, 0xaf, 0x87, 0x24, 0xc0, 0xa2, 0x3e, 0x0e, 0x0f, 0xf7,
0x75, 0x00,
/* order */
0xDB, 0x7C, 0x2A, 0xBF, 0x62, 0xE3, 0x5E, 0x76, 0x28, 0xDF, 0xAC, 0x65,
0x61, 0xC5
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 14 * 6];
} _EC_SECG_PRIME_112R2 = {
{
NID_X9_62_prime_field, 20, 14, 4
},
{
/* seed */
0x00, 0x27, 0x57, 0xA1, 0x11, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61,
0x51, 0x75, 0x53, 0x16, 0xC0, 0x5E, 0x0B, 0xD4,
/* p */
0xDB, 0x7C, 0x2A, 0xBF, 0x62, 0xE3, 0x5E, 0x66, 0x80, 0x76, 0xBE, 0xAD,
0x20, 0x8B,
/* a */
0x61, 0x27, 0xC2, 0x4C, 0x05, 0xF3, 0x8A, 0x0A, 0xAA, 0xF6, 0x5C, 0x0E,
0xF0, 0x2C,
/* b */
0x51, 0xDE, 0xF1, 0x81, 0x5D, 0xB5, 0xED, 0x74, 0xFC, 0xC3, 0x4C, 0x85,
0xD7, 0x09,
/* x */
0x4B, 0xA3, 0x0A, 0xB5, 0xE8, 0x92, 0xB4, 0xE1, 0x64, 0x9D, 0xD0, 0x92,
0x86, 0x43,
/* y */
0xad, 0xcd, 0x46, 0xf5, 0x88, 0x2e, 0x37, 0x47, 0xde, 0xf3, 0x6e, 0x95,
0x6e, 0x97,
/* order */
0x36, 0xDF, 0x0A, 0xAF, 0xD8, 0xB8, 0xD7, 0x59, 0x7C, 0xA1, 0x05, 0x20,
0xD0, 0x4B
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 16 * 6];
} _EC_SECG_PRIME_128R1 = {
{
NID_X9_62_prime_field, 20, 16, 1
},
{
/* seed */
0x00, 0x0E, 0x0D, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51, 0x75,
0x0C, 0xC0, 0x3A, 0x44, 0x73, 0xD0, 0x36, 0x79,
/* p */
0xFF, 0xFF, 0xFF, 0xFD, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF,
/* a */
0xFF, 0xFF, 0xFF, 0xFD, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFC,
/* b */
0xE8, 0x75, 0x79, 0xC1, 0x10, 0x79, 0xF4, 0x3D, 0xD8, 0x24, 0x99, 0x3C,
0x2C, 0xEE, 0x5E, 0xD3,
/* x */
0x16, 0x1F, 0xF7, 0x52, 0x8B, 0x89, 0x9B, 0x2D, 0x0C, 0x28, 0x60, 0x7C,
0xA5, 0x2C, 0x5B, 0x86,
/* y */
0xcf, 0x5a, 0xc8, 0x39, 0x5b, 0xaf, 0xeb, 0x13, 0xc0, 0x2d, 0xa2, 0x92,
0xdd, 0xed, 0x7a, 0x83,
/* order */
0xFF, 0xFF, 0xFF, 0xFE, 0x00, 0x00, 0x00, 0x00, 0x75, 0xA3, 0x0D, 0x1B,
0x90, 0x38, 0xA1, 0x15
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 16 * 6];
} _EC_SECG_PRIME_128R2 = {
{
NID_X9_62_prime_field, 20, 16, 4
},
{
/* seed */
0x00, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51, 0x75, 0x12, 0xD8,
0xF0, 0x34, 0x31, 0xFC, 0xE6, 0x3B, 0x88, 0xF4,
/* p */
0xFF, 0xFF, 0xFF, 0xFD, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF,
/* a */
0xD6, 0x03, 0x19, 0x98, 0xD1, 0xB3, 0xBB, 0xFE, 0xBF, 0x59, 0xCC, 0x9B,
0xBF, 0xF9, 0xAE, 0xE1,
/* b */
0x5E, 0xEE, 0xFC, 0xA3, 0x80, 0xD0, 0x29, 0x19, 0xDC, 0x2C, 0x65, 0x58,
0xBB, 0x6D, 0x8A, 0x5D,
/* x */
0x7B, 0x6A, 0xA5, 0xD8, 0x5E, 0x57, 0x29, 0x83, 0xE6, 0xFB, 0x32, 0xA7,
0xCD, 0xEB, 0xC1, 0x40,
/* y */
0x27, 0xb6, 0x91, 0x6a, 0x89, 0x4d, 0x3a, 0xee, 0x71, 0x06, 0xfe, 0x80,
0x5f, 0xc3, 0x4b, 0x44,
/* order */
0x3F, 0xFF, 0xFF, 0xFF, 0x7F, 0xFF, 0xFF, 0xFF, 0xBE, 0x00, 0x24, 0x72,
0x06, 0x13, 0xB5, 0xA3
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 21 * 6];
} _EC_SECG_PRIME_160K1 = {
{
NID_X9_62_prime_field, 0, 21, 1
},
{
/* no seed */
/* p */
0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xAC, 0x73,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
/* b */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x07,
/* x */
0x00, 0x3B, 0x4C, 0x38, 0x2C, 0xE3, 0x7A, 0xA1, 0x92, 0xA4, 0x01, 0x9E,
0x76, 0x30, 0x36, 0xF4, 0xF5, 0xDD, 0x4D, 0x7E, 0xBB,
/* y */
0x00, 0x93, 0x8c, 0xf9, 0x35, 0x31, 0x8f, 0xdc, 0xed, 0x6b, 0xc2, 0x82,
0x86, 0x53, 0x17, 0x33, 0xc3, 0xf0, 0x3c, 0x4f, 0xee,
/* order */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xB8,
0xFA, 0x16, 0xDF, 0xAB, 0x9A, 0xCA, 0x16, 0xB6, 0xB3
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 21 * 6];
} _EC_SECG_PRIME_160R1 = {
{
NID_X9_62_prime_field, 20, 21, 1
},
{
/* seed */
0x10, 0x53, 0xCD, 0xE4, 0x2C, 0x14, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56,
0x15, 0x17, 0x53, 0x3B, 0xF3, 0xF8, 0x33, 0x45,
/* p */
0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x7F, 0xFF, 0xFF, 0xFF,
/* a */
0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x7F, 0xFF, 0xFF, 0xFC,
/* b */
0x00, 0x1C, 0x97, 0xBE, 0xFC, 0x54, 0xBD, 0x7A, 0x8B, 0x65, 0xAC, 0xF8,
0x9F, 0x81, 0xD4, 0xD4, 0xAD, 0xC5, 0x65, 0xFA, 0x45,
/* x */
0x00, 0x4A, 0x96, 0xB5, 0x68, 0x8E, 0xF5, 0x73, 0x28, 0x46, 0x64, 0x69,
0x89, 0x68, 0xC3, 0x8B, 0xB9, 0x13, 0xCB, 0xFC, 0x82,
/* y */
0x00, 0x23, 0xa6, 0x28, 0x55, 0x31, 0x68, 0x94, 0x7d, 0x59, 0xdc, 0xc9,
0x12, 0x04, 0x23, 0x51, 0x37, 0x7a, 0xc5, 0xfb, 0x32,
/* order */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xF4,
0xC8, 0xF9, 0x27, 0xAE, 0xD3, 0xCA, 0x75, 0x22, 0x57
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 21 * 6];
} _EC_SECG_PRIME_160R2 = {
{
NID_X9_62_prime_field, 20, 21, 1
},
{
/* seed */
0xB9, 0x9B, 0x99, 0xB0, 0x99, 0xB3, 0x23, 0xE0, 0x27, 0x09, 0xA4, 0xD6,
0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, 0x17, 0x51,
/* p */
0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xAC, 0x73,
/* a */
0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xAC, 0x70,
/* b */
0x00, 0xB4, 0xE1, 0x34, 0xD3, 0xFB, 0x59, 0xEB, 0x8B, 0xAB, 0x57, 0x27,
0x49, 0x04, 0x66, 0x4D, 0x5A, 0xF5, 0x03, 0x88, 0xBA,
/* x */
0x00, 0x52, 0xDC, 0xB0, 0x34, 0x29, 0x3A, 0x11, 0x7E, 0x1F, 0x4F, 0xF1,
0x1B, 0x30, 0xF7, 0x19, 0x9D, 0x31, 0x44, 0xCE, 0x6D,
/* y */
0x00, 0xfe, 0xaf, 0xfe, 0xf2, 0xe3, 0x31, 0xf2, 0x96, 0xe0, 0x71, 0xfa,
0x0d, 0xf9, 0x98, 0x2c, 0xfe, 0xa7, 0xd4, 0x3f, 0x2e,
/* order */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x35,
0x1E, 0xE7, 0x86, 0xA8, 0x18, 0xF3, 0xA1, 0xA1, 0x6B
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 24 * 6];
} _EC_SECG_PRIME_192K1 = {
{
NID_X9_62_prime_field, 0, 24, 1
},
{
/* no seed */
/* p */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xEE, 0x37,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
/* b */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03,
/* x */
0xDB, 0x4F, 0xF1, 0x0E, 0xC0, 0x57, 0xE9, 0xAE, 0x26, 0xB0, 0x7D, 0x02,
0x80, 0xB7, 0xF4, 0x34, 0x1D, 0xA5, 0xD1, 0xB1, 0xEA, 0xE0, 0x6C, 0x7D,
/* y */
0x9b, 0x2f, 0x2f, 0x6d, 0x9c, 0x56, 0x28, 0xa7, 0x84, 0x41, 0x63, 0xd0,
0x15, 0xbe, 0x86, 0x34, 0x40, 0x82, 0xaa, 0x88, 0xd9, 0x5e, 0x2f, 0x9d,
/* order */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE,
0x26, 0xF2, 0xFC, 0x17, 0x0F, 0x69, 0x46, 0x6A, 0x74, 0xDE, 0xFD, 0x8D
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 29 * 6];
} _EC_SECG_PRIME_224K1 = {
{
NID_X9_62_prime_field, 0, 29, 1
},
{
/* no seed */
/* p */
0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFE, 0xFF, 0xFF, 0xE5, 0x6D,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00,
/* b */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x05,
/* x */
0x00, 0xA1, 0x45, 0x5B, 0x33, 0x4D, 0xF0, 0x99, 0xDF, 0x30, 0xFC, 0x28,
0xA1, 0x69, 0xA4, 0x67, 0xE9, 0xE4, 0x70, 0x75, 0xA9, 0x0F, 0x7E, 0x65,
0x0E, 0xB6, 0xB7, 0xA4, 0x5C,
/* y */
0x00, 0x7e, 0x08, 0x9f, 0xed, 0x7f, 0xba, 0x34, 0x42, 0x82, 0xca, 0xfb,
0xd6, 0xf7, 0xe3, 0x19, 0xf7, 0xc0, 0xb0, 0xbd, 0x59, 0xe2, 0xca, 0x4b,
0xdb, 0x55, 0x6d, 0x61, 0xa5,
/* order */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x01, 0xDC, 0xE8, 0xD2, 0xEC, 0x61, 0x84, 0xCA, 0xF0, 0xA9,
0x71, 0x76, 0x9F, 0xB1, 0xF7
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 32 * 6];
} _EC_SECG_PRIME_256K1 = {
{
NID_X9_62_prime_field, 0, 32, 1
},
{
/* no seed */
/* p */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x2F,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
/* b */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x07,
/* x */
0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95,
0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9,
0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98,
/* y */
0x48, 0x3a, 0xda, 0x77, 0x26, 0xa3, 0xc4, 0x65, 0x5d, 0xa4, 0xfb, 0xfc,
0x0e, 0x11, 0x08, 0xa8, 0xfd, 0x17, 0xb4, 0x48, 0xa6, 0x85, 0x54, 0x19,
0x9c, 0x47, 0xd0, 0x8f, 0xfb, 0x10, 0xd4, 0xb8,
/* order */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B,
0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41
}
};
/* some wap/wtls curves */
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 15 * 6];
} _EC_WTLS_8 = {
{
NID_X9_62_prime_field, 0, 15, 1
},
{
/* no seed */
/* p */
0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFD, 0xE7,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00,
/* b */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x03,
/* x */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x01,
/* y */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x02,
/* order */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xEC, 0xEA, 0x55, 0x1A,
0xD8, 0x37, 0xE9
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 21 * 6];
} _EC_WTLS_9 = {
{
NID_X9_62_prime_field, 0, 21, 1
},
{
/* no seed */
/* p */
0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, 0x80, 0x8F,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
/* b */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03,
/* x */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* y */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02,
/* order */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xCD,
0xC9, 0x8A, 0xE0, 0xE2, 0xDE, 0x57, 0x4A, 0xBF, 0x33
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 28 * 6];
} _EC_WTLS_12 = {
{
NID_X9_62_prime_field, 0, 28, 1
},
{
/* no seed */
/* p */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x01,
/* a */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFE,
/* b */
0xB4, 0x05, 0x0A, 0x85, 0x0C, 0x04, 0xB3, 0xAB, 0xF5, 0x41, 0x32, 0x56,
0x50, 0x44, 0xB0, 0xB7, 0xD7, 0xBF, 0xD8, 0xBA, 0x27, 0x0B, 0x39, 0x43,
0x23, 0x55, 0xFF, 0xB4,
/* x */
0xB7, 0x0E, 0x0C, 0xBD, 0x6B, 0xB4, 0xBF, 0x7F, 0x32, 0x13, 0x90, 0xB9,
0x4A, 0x03, 0xC1, 0xD3, 0x56, 0xC2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xD6,
0x11, 0x5C, 0x1D, 0x21,
/* y */
0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22, 0xdf, 0xe6,
0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, 0x47, 0x64, 0x44, 0xd5, 0x81, 0x99,
0x85, 0x00, 0x7e, 0x34,
/* order */
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0x16, 0xA2, 0xE0, 0xB8, 0xF0, 0x3E, 0x13, 0xDD, 0x29, 0x45,
0x5C, 0x5C, 0x2A, 0x3D
}
};
#endif /* FIPS_MODULE */
#ifndef OPENSSL_NO_EC2M
/* characteristic two curves */
# ifndef FIPS_MODULE
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 15 * 6];
} _EC_SECG_CHAR2_113R1 = {
{
NID_X9_62_characteristic_two_field, 20, 15, 2
},
{
/* seed */
0x10, 0xE7, 0x23, 0xAB, 0x14, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, 0x15,
0x17, 0x56, 0xFE, 0xBF, 0x8F, 0xCB, 0x49, 0xA9,
/* p */
0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x02, 0x01,
/* a */
0x00, 0x30, 0x88, 0x25, 0x0C, 0xA6, 0xE7, 0xC7, 0xFE, 0x64, 0x9C, 0xE8,
0x58, 0x20, 0xF7,
/* b */
0x00, 0xE8, 0xBE, 0xE4, 0xD3, 0xE2, 0x26, 0x07, 0x44, 0x18, 0x8B, 0xE0,
0xE9, 0xC7, 0x23,
/* x */
0x00, 0x9D, 0x73, 0x61, 0x6F, 0x35, 0xF4, 0xAB, 0x14, 0x07, 0xD7, 0x35,
0x62, 0xC1, 0x0F,
/* y */
0x00, 0xA5, 0x28, 0x30, 0x27, 0x79, 0x58, 0xEE, 0x84, 0xD1, 0x31, 0x5E,
0xD3, 0x18, 0x86,
/* order */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xD9, 0xCC, 0xEC, 0x8A,
0x39, 0xE5, 0x6F
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 15 * 6];
} _EC_SECG_CHAR2_113R2 = {
{
NID_X9_62_characteristic_two_field, 20, 15, 2
},
{
/* seed */
0x10, 0xC0, 0xFB, 0x15, 0x76, 0x08, 0x60, 0xDE, 0xF1, 0xEE, 0xF4, 0xD6,
0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, 0x17, 0x5D,
/* p */
0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x02, 0x01,
/* a */
0x00, 0x68, 0x99, 0x18, 0xDB, 0xEC, 0x7E, 0x5A, 0x0D, 0xD6, 0xDF, 0xC0,
0xAA, 0x55, 0xC7,
/* b */
0x00, 0x95, 0xE9, 0xA9, 0xEC, 0x9B, 0x29, 0x7B, 0xD4, 0xBF, 0x36, 0xE0,
0x59, 0x18, 0x4F,
/* x */
0x01, 0xA5, 0x7A, 0x6A, 0x7B, 0x26, 0xCA, 0x5E, 0xF5, 0x2F, 0xCD, 0xB8,
0x16, 0x47, 0x97,
/* y */
0x00, 0xB3, 0xAD, 0xC9, 0x4E, 0xD1, 0xFE, 0x67, 0x4C, 0x06, 0xE6, 0x95,
0xBA, 0xBA, 0x1D,
/* order */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x08, 0x78, 0x9B, 0x24,
0x96, 0xAF, 0x93
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 17 * 6];
} _EC_SECG_CHAR2_131R1 = {
{
NID_X9_62_characteristic_two_field, 20, 17, 2
},
{
/* seed */
0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51, 0x75, 0x98, 0x5B, 0xD3,
0xAD, 0xBA, 0xDA, 0x21, 0xB4, 0x3A, 0x97, 0xE2,
/* p */
0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x01, 0x0D,
/* a */
0x07, 0xA1, 0x1B, 0x09, 0xA7, 0x6B, 0x56, 0x21, 0x44, 0x41, 0x8F, 0xF3,
0xFF, 0x8C, 0x25, 0x70, 0xB8,
/* b */
0x02, 0x17, 0xC0, 0x56, 0x10, 0x88, 0x4B, 0x63, 0xB9, 0xC6, 0xC7, 0x29,
0x16, 0x78, 0xF9, 0xD3, 0x41,
/* x */
0x00, 0x81, 0xBA, 0xF9, 0x1F, 0xDF, 0x98, 0x33, 0xC4, 0x0F, 0x9C, 0x18,
0x13, 0x43, 0x63, 0x83, 0x99,
/* y */
0x07, 0x8C, 0x6E, 0x7E, 0xA3, 0x8C, 0x00, 0x1F, 0x73, 0xC8, 0x13, 0x4B,
0x1B, 0x4E, 0xF9, 0xE1, 0x50,
/* order */
0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, 0x31, 0x23, 0x95,
0x3A, 0x94, 0x64, 0xB5, 0x4D
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 17 * 6];
} _EC_SECG_CHAR2_131R2 = {
{
NID_X9_62_characteristic_two_field, 20, 17, 2
},
{
/* seed */
0x98, 0x5B, 0xD3, 0xAD, 0xBA, 0xD4, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56,
0x15, 0x17, 0x5A, 0x21, 0xB4, 0x3A, 0x97, 0xE3,
/* p */
0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x01, 0x0D,
/* a */
0x03, 0xE5, 0xA8, 0x89, 0x19, 0xD7, 0xCA, 0xFC, 0xBF, 0x41, 0x5F, 0x07,
0xC2, 0x17, 0x65, 0x73, 0xB2,
/* b */
0x04, 0xB8, 0x26, 0x6A, 0x46, 0xC5, 0x56, 0x57, 0xAC, 0x73, 0x4C, 0xE3,
0x8F, 0x01, 0x8F, 0x21, 0x92,
/* x */
0x03, 0x56, 0xDC, 0xD8, 0xF2, 0xF9, 0x50, 0x31, 0xAD, 0x65, 0x2D, 0x23,
0x95, 0x1B, 0xB3, 0x66, 0xA8,
/* y */
0x06, 0x48, 0xF0, 0x6D, 0x86, 0x79, 0x40, 0xA5, 0x36, 0x6D, 0x9E, 0x26,
0x5D, 0xE9, 0xEB, 0x24, 0x0F,
/* order */
0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x69, 0x54, 0xA2,
0x33, 0x04, 0x9B, 0xA9, 0x8F
}
};
# endif /* FIPS_MODULE */
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 21 * 6];
} _EC_NIST_CHAR2_163K = {
{
NID_X9_62_characteristic_two_field, 0, 21, 2
},
{
/* no seed */
/* p */
0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xC9,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* b */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* x */
0x02, 0xFE, 0x13, 0xC0, 0x53, 0x7B, 0xBC, 0x11, 0xAC, 0xAA, 0x07, 0xD7,
0x93, 0xDE, 0x4E, 0x6D, 0x5E, 0x5C, 0x94, 0xEE, 0xE8,
/* y */
0x02, 0x89, 0x07, 0x0F, 0xB0, 0x5D, 0x38, 0xFF, 0x58, 0x32, 0x1F, 0x2E,
0x80, 0x05, 0x36, 0xD5, 0x38, 0xCC, 0xDA, 0xA3, 0xD9,
/* order */
0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, 0x01,
0x08, 0xA2, 0xE0, 0xCC, 0x0D, 0x99, 0xF8, 0xA5, 0xEF
}
};
# ifndef FIPS_MODULE
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 21 * 6];
} _EC_SECG_CHAR2_163R1 = {
{
NID_X9_62_characteristic_two_field, 0, 21, 2
},
{
/* p */
0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xC9,
/* a */
0x07, 0xB6, 0x88, 0x2C, 0xAA, 0xEF, 0xA8, 0x4F, 0x95, 0x54, 0xFF, 0x84,
0x28, 0xBD, 0x88, 0xE2, 0x46, 0xD2, 0x78, 0x2A, 0xE2,
/* b */
0x07, 0x13, 0x61, 0x2D, 0xCD, 0xDC, 0xB4, 0x0A, 0xAB, 0x94, 0x6B, 0xDA,
0x29, 0xCA, 0x91, 0xF7, 0x3A, 0xF9, 0x58, 0xAF, 0xD9,
/* x */
0x03, 0x69, 0x97, 0x96, 0x97, 0xAB, 0x43, 0x89, 0x77, 0x89, 0x56, 0x67,
0x89, 0x56, 0x7F, 0x78, 0x7A, 0x78, 0x76, 0xA6, 0x54,
/* y */
0x00, 0x43, 0x5E, 0xDB, 0x42, 0xEF, 0xAF, 0xB2, 0x98, 0x9D, 0x51, 0xFE,
0xFC, 0xE3, 0xC8, 0x09, 0x88, 0xF4, 0x1F, 0xF8, 0x83,
/* order */
0x03, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x48,
0xAA, 0xB6, 0x89, 0xC2, 0x9C, 0xA7, 0x10, 0x27, 0x9B
}
};
# endif /* FIPS_MODULE */
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 21 * 6];
} _EC_NIST_CHAR2_163B = {
{
NID_X9_62_characteristic_two_field, 0, 21, 2
},
{
/* p */
0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xC9,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* b */
0x02, 0x0A, 0x60, 0x19, 0x07, 0xB8, 0xC9, 0x53, 0xCA, 0x14, 0x81, 0xEB,
0x10, 0x51, 0x2F, 0x78, 0x74, 0x4A, 0x32, 0x05, 0xFD,
/* x */
0x03, 0xF0, 0xEB, 0xA1, 0x62, 0x86, 0xA2, 0xD5, 0x7E, 0xA0, 0x99, 0x11,
0x68, 0xD4, 0x99, 0x46, 0x37, 0xE8, 0x34, 0x3E, 0x36,
/* y */
0x00, 0xD5, 0x1F, 0xBC, 0x6C, 0x71, 0xA0, 0x09, 0x4F, 0xA2, 0xCD, 0xD5,
0x45, 0xB1, 0x1C, 0x5C, 0x0C, 0x79, 0x73, 0x24, 0xF1,
/* order */
0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, 0x92,
0xFE, 0x77, 0xE7, 0x0C, 0x12, 0xA4, 0x23, 0x4C, 0x33
}
};
# ifndef FIPS_MODULE
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 25 * 6];
} _EC_SECG_CHAR2_193R1 = {
{
NID_X9_62_characteristic_two_field, 20, 25, 2
},
{
/* seed */
0x10, 0x3F, 0xAE, 0xC7, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51,
0x75, 0x77, 0x7F, 0xC5, 0xB1, 0x91, 0xEF, 0x30,
/* p */
0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80,
0x01,
/* a */
0x00, 0x17, 0x85, 0x8F, 0xEB, 0x7A, 0x98, 0x97, 0x51, 0x69, 0xE1, 0x71,
0xF7, 0x7B, 0x40, 0x87, 0xDE, 0x09, 0x8A, 0xC8, 0xA9, 0x11, 0xDF, 0x7B,
0x01,
/* b */
0x00, 0xFD, 0xFB, 0x49, 0xBF, 0xE6, 0xC3, 0xA8, 0x9F, 0xAC, 0xAD, 0xAA,
0x7A, 0x1E, 0x5B, 0xBC, 0x7C, 0xC1, 0xC2, 0xE5, 0xD8, 0x31, 0x47, 0x88,
0x14,
/* x */
0x01, 0xF4, 0x81, 0xBC, 0x5F, 0x0F, 0xF8, 0x4A, 0x74, 0xAD, 0x6C, 0xDF,
0x6F, 0xDE, 0xF4, 0xBF, 0x61, 0x79, 0x62, 0x53, 0x72, 0xD8, 0xC0, 0xC5,
0xE1,
/* y */
0x00, 0x25, 0xE3, 0x99, 0xF2, 0x90, 0x37, 0x12, 0xCC, 0xF3, 0xEA, 0x9E,
0x3A, 0x1A, 0xD1, 0x7F, 0xB0, 0xB3, 0x20, 0x1B, 0x6A, 0xF7, 0xCE, 0x1B,
0x05,
/* order */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0xC7, 0xF3, 0x4A, 0x77, 0x8F, 0x44, 0x3A, 0xCC, 0x92, 0x0E, 0xBA,
0x49
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 25 * 6];
} _EC_SECG_CHAR2_193R2 = {
{
NID_X9_62_characteristic_two_field, 20, 25, 2
},
{
/* seed */
0x10, 0xB7, 0xB4, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, 0x17, 0x51,
0x37, 0xC8, 0xA1, 0x6F, 0xD0, 0xDA, 0x22, 0x11,
/* p */
0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80,
0x01,
/* a */
0x01, 0x63, 0xF3, 0x5A, 0x51, 0x37, 0xC2, 0xCE, 0x3E, 0xA6, 0xED, 0x86,
0x67, 0x19, 0x0B, 0x0B, 0xC4, 0x3E, 0xCD, 0x69, 0x97, 0x77, 0x02, 0x70,
0x9B,
/* b */
0x00, 0xC9, 0xBB, 0x9E, 0x89, 0x27, 0xD4, 0xD6, 0x4C, 0x37, 0x7E, 0x2A,
0xB2, 0x85, 0x6A, 0x5B, 0x16, 0xE3, 0xEF, 0xB7, 0xF6, 0x1D, 0x43, 0x16,
0xAE,
/* x */
0x00, 0xD9, 0xB6, 0x7D, 0x19, 0x2E, 0x03, 0x67, 0xC8, 0x03, 0xF3, 0x9E,
0x1A, 0x7E, 0x82, 0xCA, 0x14, 0xA6, 0x51, 0x35, 0x0A, 0xAE, 0x61, 0x7E,
0x8F,
/* y */
0x01, 0xCE, 0x94, 0x33, 0x56, 0x07, 0xC3, 0x04, 0xAC, 0x29, 0xE7, 0xDE,
0xFB, 0xD9, 0xCA, 0x01, 0xF5, 0x96, 0xF9, 0x27, 0x22, 0x4C, 0xDE, 0xCF,
0x6C,
/* order */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x01, 0x5A, 0xAB, 0x56, 0x1B, 0x00, 0x54, 0x13, 0xCC, 0xD4, 0xEE, 0x99,
0xD5
}
};
# endif /* FIPS_MODULE */
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 30 * 6];
} _EC_NIST_CHAR2_233K = {
{
NID_X9_62_characteristic_two_field, 0, 30, 4
},
{
/* no seed */
/* p */
0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x04, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
/* b */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* x */
0x01, 0x72, 0x32, 0xBA, 0x85, 0x3A, 0x7E, 0x73, 0x1A, 0xF1, 0x29, 0xF2,
0x2F, 0xF4, 0x14, 0x95, 0x63, 0xA4, 0x19, 0xC2, 0x6B, 0xF5, 0x0A, 0x4C,
0x9D, 0x6E, 0xEF, 0xAD, 0x61, 0x26,
/* y */
0x01, 0xDB, 0x53, 0x7D, 0xEC, 0xE8, 0x19, 0xB7, 0xF7, 0x0F, 0x55, 0x5A,
0x67, 0xC4, 0x27, 0xA8, 0xCD, 0x9B, 0xF1, 0x8A, 0xEB, 0x9B, 0x56, 0xE0,
0xC1, 0x10, 0x56, 0xFA, 0xE6, 0xA3,
/* order */
0x00, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x06, 0x9D, 0x5B, 0xB9, 0x15, 0xBC, 0xD4, 0x6E, 0xFB,
0x1A, 0xD5, 0xF1, 0x73, 0xAB, 0xDF
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 30 * 6];
} _EC_NIST_CHAR2_233B = {
{
NID_X9_62_characteristic_two_field, 20, 30, 2
},
{
/* seed */
0x74, 0xD5, 0x9F, 0xF0, 0x7F, 0x6B, 0x41, 0x3D, 0x0E, 0xA1, 0x4B, 0x34,
0x4B, 0x20, 0xA2, 0xDB, 0x04, 0x9B, 0x50, 0xC3,
/* p */
0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x04, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* b */
0x00, 0x66, 0x64, 0x7E, 0xDE, 0x6C, 0x33, 0x2C, 0x7F, 0x8C, 0x09, 0x23,
0xBB, 0x58, 0x21, 0x3B, 0x33, 0x3B, 0x20, 0xE9, 0xCE, 0x42, 0x81, 0xFE,
0x11, 0x5F, 0x7D, 0x8F, 0x90, 0xAD,
/* x */
0x00, 0xFA, 0xC9, 0xDF, 0xCB, 0xAC, 0x83, 0x13, 0xBB, 0x21, 0x39, 0xF1,
0xBB, 0x75, 0x5F, 0xEF, 0x65, 0xBC, 0x39, 0x1F, 0x8B, 0x36, 0xF8, 0xF8,
0xEB, 0x73, 0x71, 0xFD, 0x55, 0x8B,
/* y */
0x01, 0x00, 0x6A, 0x08, 0xA4, 0x19, 0x03, 0x35, 0x06, 0x78, 0xE5, 0x85,
0x28, 0xBE, 0xBF, 0x8A, 0x0B, 0xEF, 0xF8, 0x67, 0xA7, 0xCA, 0x36, 0x71,
0x6F, 0x7E, 0x01, 0xF8, 0x10, 0x52,
/* order */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x13, 0xE9, 0x74, 0xE7, 0x2F, 0x8A, 0x69, 0x22, 0x03,
0x1D, 0x26, 0x03, 0xCF, 0xE0, 0xD7
}
};
#ifndef FIPS_MODULE
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 30 * 6];
} _EC_SECG_CHAR2_239K1 = {
{
NID_X9_62_characteristic_two_field, 0, 30, 4
},
{
/* no seed */
/* p */
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x40, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
/* b */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* x */
0x29, 0xA0, 0xB6, 0xA8, 0x87, 0xA9, 0x83, 0xE9, 0x73, 0x09, 0x88, 0xA6,
0x87, 0x27, 0xA8, 0xB2, 0xD1, 0x26, 0xC4, 0x4C, 0xC2, 0xCC, 0x7B, 0x2A,
0x65, 0x55, 0x19, 0x30, 0x35, 0xDC,
/* y */
0x76, 0x31, 0x08, 0x04, 0xF1, 0x2E, 0x54, 0x9B, 0xDB, 0x01, 0x1C, 0x10,
0x30, 0x89, 0xE7, 0x35, 0x10, 0xAC, 0xB2, 0x75, 0xFC, 0x31, 0x2A, 0x5D,
0xC6, 0xB7, 0x65, 0x53, 0xF0, 0xCA,
/* order */
0x20, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x5A, 0x79, 0xFE, 0xC6, 0x7C, 0xB6, 0xE9, 0x1F, 0x1C,
0x1D, 0xA8, 0x00, 0xE4, 0x78, 0xA5
}
};
# endif /* FIPS_MODULE */
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 36 * 6];
} _EC_NIST_CHAR2_283K = {
{
NID_X9_62_characteristic_two_field, 0, 36, 4
},
{
/* no seed */
/* p */
0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10, 0xA1,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
/* b */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* x */
0x05, 0x03, 0x21, 0x3F, 0x78, 0xCA, 0x44, 0x88, 0x3F, 0x1A, 0x3B, 0x81,
0x62, 0xF1, 0x88, 0xE5, 0x53, 0xCD, 0x26, 0x5F, 0x23, 0xC1, 0x56, 0x7A,
0x16, 0x87, 0x69, 0x13, 0xB0, 0xC2, 0xAC, 0x24, 0x58, 0x49, 0x28, 0x36,
/* y */
0x01, 0xCC, 0xDA, 0x38, 0x0F, 0x1C, 0x9E, 0x31, 0x8D, 0x90, 0xF9, 0x5D,
0x07, 0xE5, 0x42, 0x6F, 0xE8, 0x7E, 0x45, 0xC0, 0xE8, 0x18, 0x46, 0x98,
0xE4, 0x59, 0x62, 0x36, 0x4E, 0x34, 0x11, 0x61, 0x77, 0xDD, 0x22, 0x59,
/* order */
0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xE9, 0xAE, 0x2E, 0xD0, 0x75, 0x77,
0x26, 0x5D, 0xFF, 0x7F, 0x94, 0x45, 0x1E, 0x06, 0x1E, 0x16, 0x3C, 0x61
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 36 * 6];
} _EC_NIST_CHAR2_283B = {
{
NID_X9_62_characteristic_two_field, 20, 36, 2
},
{
/* seed */
0x77, 0xE2, 0xB0, 0x73, 0x70, 0xEB, 0x0F, 0x83, 0x2A, 0x6D, 0xD5, 0xB6,
0x2D, 0xFC, 0x88, 0xCD, 0x06, 0xBB, 0x84, 0xBE,
/* p */
0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10, 0xA1,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* b */
0x02, 0x7B, 0x68, 0x0A, 0xC8, 0xB8, 0x59, 0x6D, 0xA5, 0xA4, 0xAF, 0x8A,
0x19, 0xA0, 0x30, 0x3F, 0xCA, 0x97, 0xFD, 0x76, 0x45, 0x30, 0x9F, 0xA2,
0xA5, 0x81, 0x48, 0x5A, 0xF6, 0x26, 0x3E, 0x31, 0x3B, 0x79, 0xA2, 0xF5,
/* x */
0x05, 0xF9, 0x39, 0x25, 0x8D, 0xB7, 0xDD, 0x90, 0xE1, 0x93, 0x4F, 0x8C,
0x70, 0xB0, 0xDF, 0xEC, 0x2E, 0xED, 0x25, 0xB8, 0x55, 0x7E, 0xAC, 0x9C,
0x80, 0xE2, 0xE1, 0x98, 0xF8, 0xCD, 0xBE, 0xCD, 0x86, 0xB1, 0x20, 0x53,
/* y */
0x03, 0x67, 0x68, 0x54, 0xFE, 0x24, 0x14, 0x1C, 0xB9, 0x8F, 0xE6, 0xD4,
0xB2, 0x0D, 0x02, 0xB4, 0x51, 0x6F, 0xF7, 0x02, 0x35, 0x0E, 0xDD, 0xB0,
0x82, 0x67, 0x79, 0xC8, 0x13, 0xF0, 0xDF, 0x45, 0xBE, 0x81, 0x12, 0xF4,
/* order */
0x03, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xEF, 0x90, 0x39, 0x96, 0x60, 0xFC,
0x93, 0x8A, 0x90, 0x16, 0x5B, 0x04, 0x2A, 0x7C, 0xEF, 0xAD, 0xB3, 0x07
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 52 * 6];
} _EC_NIST_CHAR2_409K = {
{
NID_X9_62_characteristic_two_field, 0, 52, 4
},
{
/* no seed */
/* p */
0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x01,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00,
/* b */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x01,
/* x */
0x00, 0x60, 0xF0, 0x5F, 0x65, 0x8F, 0x49, 0xC1, 0xAD, 0x3A, 0xB1, 0x89,
0x0F, 0x71, 0x84, 0x21, 0x0E, 0xFD, 0x09, 0x87, 0xE3, 0x07, 0xC8, 0x4C,
0x27, 0xAC, 0xCF, 0xB8, 0xF9, 0xF6, 0x7C, 0xC2, 0xC4, 0x60, 0x18, 0x9E,
0xB5, 0xAA, 0xAA, 0x62, 0xEE, 0x22, 0x2E, 0xB1, 0xB3, 0x55, 0x40, 0xCF,
0xE9, 0x02, 0x37, 0x46,
/* y */
0x01, 0xE3, 0x69, 0x05, 0x0B, 0x7C, 0x4E, 0x42, 0xAC, 0xBA, 0x1D, 0xAC,
0xBF, 0x04, 0x29, 0x9C, 0x34, 0x60, 0x78, 0x2F, 0x91, 0x8E, 0xA4, 0x27,
0xE6, 0x32, 0x51, 0x65, 0xE9, 0xEA, 0x10, 0xE3, 0xDA, 0x5F, 0x6C, 0x42,
0xE9, 0xC5, 0x52, 0x15, 0xAA, 0x9C, 0xA2, 0x7A, 0x58, 0x63, 0xEC, 0x48,
0xD8, 0xE0, 0x28, 0x6B,
/* order */
0x00, 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFE, 0x5F, 0x83, 0xB2, 0xD4, 0xEA, 0x20, 0x40, 0x0E, 0xC4,
0x55, 0x7D, 0x5E, 0xD3, 0xE3, 0xE7, 0xCA, 0x5B, 0x4B, 0x5C, 0x83, 0xB8,
0xE0, 0x1E, 0x5F, 0xCF
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 52 * 6];
} _EC_NIST_CHAR2_409B = {
{
NID_X9_62_characteristic_two_field, 20, 52, 2
},
{
/* seed */
0x40, 0x99, 0xB5, 0xA4, 0x57, 0xF9, 0xD6, 0x9F, 0x79, 0x21, 0x3D, 0x09,
0x4C, 0x4B, 0xCD, 0x4D, 0x42, 0x62, 0x21, 0x0B,
/* p */
0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x01,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x01,
/* b */
0x00, 0x21, 0xA5, 0xC2, 0xC8, 0xEE, 0x9F, 0xEB, 0x5C, 0x4B, 0x9A, 0x75,
0x3B, 0x7B, 0x47, 0x6B, 0x7F, 0xD6, 0x42, 0x2E, 0xF1, 0xF3, 0xDD, 0x67,
0x47, 0x61, 0xFA, 0x99, 0xD6, 0xAC, 0x27, 0xC8, 0xA9, 0xA1, 0x97, 0xB2,
0x72, 0x82, 0x2F, 0x6C, 0xD5, 0x7A, 0x55, 0xAA, 0x4F, 0x50, 0xAE, 0x31,
0x7B, 0x13, 0x54, 0x5F,
/* x */
0x01, 0x5D, 0x48, 0x60, 0xD0, 0x88, 0xDD, 0xB3, 0x49, 0x6B, 0x0C, 0x60,
0x64, 0x75, 0x62, 0x60, 0x44, 0x1C, 0xDE, 0x4A, 0xF1, 0x77, 0x1D, 0x4D,
0xB0, 0x1F, 0xFE, 0x5B, 0x34, 0xE5, 0x97, 0x03, 0xDC, 0x25, 0x5A, 0x86,
0x8A, 0x11, 0x80, 0x51, 0x56, 0x03, 0xAE, 0xAB, 0x60, 0x79, 0x4E, 0x54,
0xBB, 0x79, 0x96, 0xA7,
/* y */
0x00, 0x61, 0xB1, 0xCF, 0xAB, 0x6B, 0xE5, 0xF3, 0x2B, 0xBF, 0xA7, 0x83,
0x24, 0xED, 0x10, 0x6A, 0x76, 0x36, 0xB9, 0xC5, 0xA7, 0xBD, 0x19, 0x8D,
0x01, 0x58, 0xAA, 0x4F, 0x54, 0x88, 0xD0, 0x8F, 0x38, 0x51, 0x4F, 0x1F,
0xDF, 0x4B, 0x4F, 0x40, 0xD2, 0x18, 0x1B, 0x36, 0x81, 0xC3, 0x64, 0xBA,
0x02, 0x73, 0xC7, 0x06,
/* order */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x01, 0xE2, 0xAA, 0xD6, 0xA6, 0x12, 0xF3, 0x33, 0x07, 0xBE,
0x5F, 0xA4, 0x7C, 0x3C, 0x9E, 0x05, 0x2F, 0x83, 0x81, 0x64, 0xCD, 0x37,
0xD9, 0xA2, 0x11, 0x73
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 72 * 6];
} _EC_NIST_CHAR2_571K = {
{
NID_X9_62_characteristic_two_field, 0, 72, 4
},
{
/* no seed */
/* p */
0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x04, 0x25,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
/* b */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* x */
0x02, 0x6E, 0xB7, 0xA8, 0x59, 0x92, 0x3F, 0xBC, 0x82, 0x18, 0x96, 0x31,
0xF8, 0x10, 0x3F, 0xE4, 0xAC, 0x9C, 0xA2, 0x97, 0x00, 0x12, 0xD5, 0xD4,
0x60, 0x24, 0x80, 0x48, 0x01, 0x84, 0x1C, 0xA4, 0x43, 0x70, 0x95, 0x84,
0x93, 0xB2, 0x05, 0xE6, 0x47, 0xDA, 0x30, 0x4D, 0xB4, 0xCE, 0xB0, 0x8C,
0xBB, 0xD1, 0xBA, 0x39, 0x49, 0x47, 0x76, 0xFB, 0x98, 0x8B, 0x47, 0x17,
0x4D, 0xCA, 0x88, 0xC7, 0xE2, 0x94, 0x52, 0x83, 0xA0, 0x1C, 0x89, 0x72,
/* y */
0x03, 0x49, 0xDC, 0x80, 0x7F, 0x4F, 0xBF, 0x37, 0x4F, 0x4A, 0xEA, 0xDE,
0x3B, 0xCA, 0x95, 0x31, 0x4D, 0xD5, 0x8C, 0xEC, 0x9F, 0x30, 0x7A, 0x54,
0xFF, 0xC6, 0x1E, 0xFC, 0x00, 0x6D, 0x8A, 0x2C, 0x9D, 0x49, 0x79, 0xC0,
0xAC, 0x44, 0xAE, 0xA7, 0x4F, 0xBE, 0xBB, 0xB9, 0xF7, 0x72, 0xAE, 0xDC,
0xB6, 0x20, 0xB0, 0x1A, 0x7B, 0xA7, 0xAF, 0x1B, 0x32, 0x04, 0x30, 0xC8,
0x59, 0x19, 0x84, 0xF6, 0x01, 0xCD, 0x4C, 0x14, 0x3E, 0xF1, 0xC7, 0xA3,
/* order */
0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x13, 0x18, 0x50, 0xE1, 0xF1, 0x9A, 0x63, 0xE4, 0xB3, 0x91, 0xA8, 0xDB,
0x91, 0x7F, 0x41, 0x38, 0xB6, 0x30, 0xD8, 0x4B, 0xE5, 0xD6, 0x39, 0x38,
0x1E, 0x91, 0xDE, 0xB4, 0x5C, 0xFE, 0x77, 0x8F, 0x63, 0x7C, 0x10, 0x01
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 72 * 6];
} _EC_NIST_CHAR2_571B = {
{
NID_X9_62_characteristic_two_field, 20, 72, 2
},
{
/* seed */
0x2A, 0xA0, 0x58, 0xF7, 0x3A, 0x0E, 0x33, 0xAB, 0x48, 0x6B, 0x0F, 0x61,
0x04, 0x10, 0xC5, 0x3A, 0x7F, 0x13, 0x23, 0x10,
/* p */
0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x04, 0x25,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* b */
0x02, 0xF4, 0x0E, 0x7E, 0x22, 0x21, 0xF2, 0x95, 0xDE, 0x29, 0x71, 0x17,
0xB7, 0xF3, 0xD6, 0x2F, 0x5C, 0x6A, 0x97, 0xFF, 0xCB, 0x8C, 0xEF, 0xF1,
0xCD, 0x6B, 0xA8, 0xCE, 0x4A, 0x9A, 0x18, 0xAD, 0x84, 0xFF, 0xAB, 0xBD,
0x8E, 0xFA, 0x59, 0x33, 0x2B, 0xE7, 0xAD, 0x67, 0x56, 0xA6, 0x6E, 0x29,
0x4A, 0xFD, 0x18, 0x5A, 0x78, 0xFF, 0x12, 0xAA, 0x52, 0x0E, 0x4D, 0xE7,
0x39, 0xBA, 0xCA, 0x0C, 0x7F, 0xFE, 0xFF, 0x7F, 0x29, 0x55, 0x72, 0x7A,
/* x */
0x03, 0x03, 0x00, 0x1D, 0x34, 0xB8, 0x56, 0x29, 0x6C, 0x16, 0xC0, 0xD4,
0x0D, 0x3C, 0xD7, 0x75, 0x0A, 0x93, 0xD1, 0xD2, 0x95, 0x5F, 0xA8, 0x0A,
0xA5, 0xF4, 0x0F, 0xC8, 0xDB, 0x7B, 0x2A, 0xBD, 0xBD, 0xE5, 0x39, 0x50,
0xF4, 0xC0, 0xD2, 0x93, 0xCD, 0xD7, 0x11, 0xA3, 0x5B, 0x67, 0xFB, 0x14,
0x99, 0xAE, 0x60, 0x03, 0x86, 0x14, 0xF1, 0x39, 0x4A, 0xBF, 0xA3, 0xB4,
0xC8, 0x50, 0xD9, 0x27, 0xE1, 0xE7, 0x76, 0x9C, 0x8E, 0xEC, 0x2D, 0x19,
/* y */
0x03, 0x7B, 0xF2, 0x73, 0x42, 0xDA, 0x63, 0x9B, 0x6D, 0xCC, 0xFF, 0xFE,
0xB7, 0x3D, 0x69, 0xD7, 0x8C, 0x6C, 0x27, 0xA6, 0x00, 0x9C, 0xBB, 0xCA,
0x19, 0x80, 0xF8, 0x53, 0x39, 0x21, 0xE8, 0xA6, 0x84, 0x42, 0x3E, 0x43,
0xBA, 0xB0, 0x8A, 0x57, 0x62, 0x91, 0xAF, 0x8F, 0x46, 0x1B, 0xB2, 0xA8,
0xB3, 0x53, 0x1D, 0x2F, 0x04, 0x85, 0xC1, 0x9B, 0x16, 0xE2, 0xF1, 0x51,
0x6E, 0x23, 0xDD, 0x3C, 0x1A, 0x48, 0x27, 0xAF, 0x1B, 0x8A, 0xC1, 0x5B,
/* order */
0x03, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xE6, 0x61, 0xCE, 0x18, 0xFF, 0x55, 0x98, 0x73, 0x08, 0x05, 0x9B, 0x18,
0x68, 0x23, 0x85, 0x1E, 0xC7, 0xDD, 0x9C, 0xA1, 0x16, 0x1D, 0xE9, 0x3D,
0x51, 0x74, 0xD6, 0x6E, 0x83, 0x82, 0xE9, 0xBB, 0x2F, 0xE8, 0x4E, 0x47
}
};
# ifndef FIPS_MODULE
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 21 * 6];
} _EC_X9_62_CHAR2_163V1 = {
{
NID_X9_62_characteristic_two_field, 20, 21, 2
},
{
/* seed */
0xD2, 0xC0, 0xFB, 0x15, 0x76, 0x08, 0x60, 0xDE, 0xF1, 0xEE, 0xF4, 0xD6,
0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, 0x17, 0x54,
/* p */
0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x07,
/* a */
0x07, 0x25, 0x46, 0xB5, 0x43, 0x52, 0x34, 0xA4, 0x22, 0xE0, 0x78, 0x96,
0x75, 0xF4, 0x32, 0xC8, 0x94, 0x35, 0xDE, 0x52, 0x42,
/* b */
0x00, 0xC9, 0x51, 0x7D, 0x06, 0xD5, 0x24, 0x0D, 0x3C, 0xFF, 0x38, 0xC7,
0x4B, 0x20, 0xB6, 0xCD, 0x4D, 0x6F, 0x9D, 0xD4, 0xD9,
/* x */
0x07, 0xAF, 0x69, 0x98, 0x95, 0x46, 0x10, 0x3D, 0x79, 0x32, 0x9F, 0xCC,
0x3D, 0x74, 0x88, 0x0F, 0x33, 0xBB, 0xE8, 0x03, 0xCB,
/* y */
0x01, 0xEC, 0x23, 0x21, 0x1B, 0x59, 0x66, 0xAD, 0xEA, 0x1D, 0x3F, 0x87,
0xF7, 0xEA, 0x58, 0x48, 0xAE, 0xF0, 0xB7, 0xCA, 0x9F,
/* order */
0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xE6,
0x0F, 0xC8, 0x82, 0x1C, 0xC7, 0x4D, 0xAE, 0xAF, 0xC1
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 21 * 6];
} _EC_X9_62_CHAR2_163V2 = {
{
NID_X9_62_characteristic_two_field, 20, 21, 2
},
{
/* seed */
0x53, 0x81, 0x4C, 0x05, 0x0D, 0x44, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56,
0x15, 0x17, 0x58, 0x0C, 0xA4, 0xE2, 0x9F, 0xFD,
/* p */
0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x07,
/* a */
0x01, 0x08, 0xB3, 0x9E, 0x77, 0xC4, 0xB1, 0x08, 0xBE, 0xD9, 0x81, 0xED,
0x0E, 0x89, 0x0E, 0x11, 0x7C, 0x51, 0x1C, 0xF0, 0x72,
/* b */
0x06, 0x67, 0xAC, 0xEB, 0x38, 0xAF, 0x4E, 0x48, 0x8C, 0x40, 0x74, 0x33,
0xFF, 0xAE, 0x4F, 0x1C, 0x81, 0x16, 0x38, 0xDF, 0x20,
/* x */
0x00, 0x24, 0x26, 0x6E, 0x4E, 0xB5, 0x10, 0x6D, 0x0A, 0x96, 0x4D, 0x92,
0xC4, 0x86, 0x0E, 0x26, 0x71, 0xDB, 0x9B, 0x6C, 0xC5,
/* y */
0x07, 0x9F, 0x68, 0x4D, 0xDF, 0x66, 0x84, 0xC5, 0xCD, 0x25, 0x8B, 0x38,
0x90, 0x02, 0x1B, 0x23, 0x86, 0xDF, 0xD1, 0x9F, 0xC5,
/* order */
0x03, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFD, 0xF6,
0x4D, 0xE1, 0x15, 0x1A, 0xDB, 0xB7, 0x8F, 0x10, 0xA7
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 21 * 6];
} _EC_X9_62_CHAR2_163V3 = {
{
NID_X9_62_characteristic_two_field, 20, 21, 2
},
{
/* seed */
0x50, 0xCB, 0xF1, 0xD9, 0x5C, 0xA9, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75,
0x61, 0x51, 0x75, 0xF1, 0x6A, 0x36, 0xA3, 0xB8,
/* p */
0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x07,
/* a */
0x07, 0xA5, 0x26, 0xC6, 0x3D, 0x3E, 0x25, 0xA2, 0x56, 0xA0, 0x07, 0x69,
0x9F, 0x54, 0x47, 0xE3, 0x2A, 0xE4, 0x56, 0xB5, 0x0E,
/* b */
0x03, 0xF7, 0x06, 0x17, 0x98, 0xEB, 0x99, 0xE2, 0x38, 0xFD, 0x6F, 0x1B,
0xF9, 0x5B, 0x48, 0xFE, 0xEB, 0x48, 0x54, 0x25, 0x2B,
/* x */
0x02, 0xF9, 0xF8, 0x7B, 0x7C, 0x57, 0x4D, 0x0B, 0xDE, 0xCF, 0x8A, 0x22,
0xE6, 0x52, 0x47, 0x75, 0xF9, 0x8C, 0xDE, 0xBD, 0xCB,
/* y */
0x05, 0xB9, 0x35, 0x59, 0x0C, 0x15, 0x5E, 0x17, 0xEA, 0x48, 0xEB, 0x3F,
0xF3, 0x71, 0x8B, 0x89, 0x3D, 0xF5, 0x9A, 0x05, 0xD0,
/* order */
0x03, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0x1A,
0xEE, 0x14, 0x0F, 0x11, 0x0A, 0xFF, 0x96, 0x13, 0x09
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 23 * 6];
} _EC_X9_62_CHAR2_176V1 = {
{
NID_X9_62_characteristic_two_field, 0, 23, 0xFF6E
},
{
/* no seed */
/* p */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x08, 0x00, 0x00, 0x00, 0x00, 0x07,
/* a */
0x00, 0xE4, 0xE6, 0xDB, 0x29, 0x95, 0x06, 0x5C, 0x40, 0x7D, 0x9D, 0x39,
0xB8, 0xD0, 0x96, 0x7B, 0x96, 0x70, 0x4B, 0xA8, 0xE9, 0xC9, 0x0B,
/* b */
0x00, 0x5D, 0xDA, 0x47, 0x0A, 0xBE, 0x64, 0x14, 0xDE, 0x8E, 0xC1, 0x33,
0xAE, 0x28, 0xE9, 0xBB, 0xD7, 0xFC, 0xEC, 0x0A, 0xE0, 0xFF, 0xF2,
/* x */
0x00, 0x8D, 0x16, 0xC2, 0x86, 0x67, 0x98, 0xB6, 0x00, 0xF9, 0xF0, 0x8B,
0xB4, 0xA8, 0xE8, 0x60, 0xF3, 0x29, 0x8C, 0xE0, 0x4A, 0x57, 0x98,
/* y */
0x00, 0x6F, 0xA4, 0x53, 0x9C, 0x2D, 0xAD, 0xDD, 0xD6, 0xBA, 0xB5, 0x16,
0x7D, 0x61, 0xB4, 0x36, 0xE1, 0xD9, 0x2B, 0xB1, 0x6A, 0x56, 0x2C,
/* order */
0x00, 0x00, 0x01, 0x00, 0x92, 0x53, 0x73, 0x97, 0xEC, 0xA4, 0xF6, 0x14,
0x57, 0x99, 0xD6, 0x2B, 0x0A, 0x19, 0xCE, 0x06, 0xFE, 0x26, 0xAD
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 24 * 6];
} _EC_X9_62_CHAR2_191V1 = {
{
NID_X9_62_characteristic_two_field, 20, 24, 2
},
{
/* seed */
0x4E, 0x13, 0xCA, 0x54, 0x27, 0x44, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56,
0x15, 0x17, 0x55, 0x2F, 0x27, 0x9A, 0x8C, 0x84,
/* p */
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, 0x01,
/* a */
0x28, 0x66, 0x53, 0x7B, 0x67, 0x67, 0x52, 0x63, 0x6A, 0x68, 0xF5, 0x65,
0x54, 0xE1, 0x26, 0x40, 0x27, 0x6B, 0x64, 0x9E, 0xF7, 0x52, 0x62, 0x67,
/* b */
0x2E, 0x45, 0xEF, 0x57, 0x1F, 0x00, 0x78, 0x6F, 0x67, 0xB0, 0x08, 0x1B,
0x94, 0x95, 0xA3, 0xD9, 0x54, 0x62, 0xF5, 0xDE, 0x0A, 0xA1, 0x85, 0xEC,
/* x */
0x36, 0xB3, 0xDA, 0xF8, 0xA2, 0x32, 0x06, 0xF9, 0xC4, 0xF2, 0x99, 0xD7,
0xB2, 0x1A, 0x9C, 0x36, 0x91, 0x37, 0xF2, 0xC8, 0x4A, 0xE1, 0xAA, 0x0D,
/* y */
0x76, 0x5B, 0xE7, 0x34, 0x33, 0xB3, 0xF9, 0x5E, 0x33, 0x29, 0x32, 0xE7,
0x0E, 0xA2, 0x45, 0xCA, 0x24, 0x18, 0xEA, 0x0E, 0xF9, 0x80, 0x18, 0xFB,
/* order */
0x40, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x04, 0xA2, 0x0E, 0x90, 0xC3, 0x90, 0x67, 0xC8, 0x93, 0xBB, 0xB9, 0xA5
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 24 * 6];
} _EC_X9_62_CHAR2_191V2 = {
{
NID_X9_62_characteristic_two_field, 20, 24, 4
},
{
/* seed */
0x08, 0x71, 0xEF, 0x2F, 0xEF, 0x24, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56,
0x15, 0x17, 0x58, 0xBE, 0xE0, 0xD9, 0x5C, 0x15,
/* p */
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, 0x01,
/* a */
0x40, 0x10, 0x28, 0x77, 0x4D, 0x77, 0x77, 0xC7, 0xB7, 0x66, 0x6D, 0x13,
0x66, 0xEA, 0x43, 0x20, 0x71, 0x27, 0x4F, 0x89, 0xFF, 0x01, 0xE7, 0x18,
/* b */
0x06, 0x20, 0x04, 0x8D, 0x28, 0xBC, 0xBD, 0x03, 0xB6, 0x24, 0x9C, 0x99,
0x18, 0x2B, 0x7C, 0x8C, 0xD1, 0x97, 0x00, 0xC3, 0x62, 0xC4, 0x6A, 0x01,
/* x */
0x38, 0x09, 0xB2, 0xB7, 0xCC, 0x1B, 0x28, 0xCC, 0x5A, 0x87, 0x92, 0x6A,
0xAD, 0x83, 0xFD, 0x28, 0x78, 0x9E, 0x81, 0xE2, 0xC9, 0xE3, 0xBF, 0x10,
/* y */
0x17, 0x43, 0x43, 0x86, 0x62, 0x6D, 0x14, 0xF3, 0xDB, 0xF0, 0x17, 0x60,
0xD9, 0x21, 0x3A, 0x3E, 0x1C, 0xF3, 0x7A, 0xEC, 0x43, 0x7D, 0x66, 0x8A,
/* order */
0x20, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x50, 0x50, 0x8C, 0xB8, 0x9F, 0x65, 0x28, 0x24, 0xE0, 0x6B, 0x81, 0x73
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 24 * 6];
} _EC_X9_62_CHAR2_191V3 = {
{
NID_X9_62_characteristic_two_field, 20, 24, 6
},
{
/* seed */
0xE0, 0x53, 0x51, 0x2D, 0xC6, 0x84, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56,
0x15, 0x17, 0x50, 0x67, 0xAE, 0x78, 0x6D, 0x1F,
/* p */
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, 0x01,
/* a */
0x6C, 0x01, 0x07, 0x47, 0x56, 0x09, 0x91, 0x22, 0x22, 0x10, 0x56, 0x91,
0x1C, 0x77, 0xD7, 0x7E, 0x77, 0xA7, 0x77, 0xE7, 0xE7, 0xE7, 0x7F, 0xCB,
/* b */
0x71, 0xFE, 0x1A, 0xF9, 0x26, 0xCF, 0x84, 0x79, 0x89, 0xEF, 0xEF, 0x8D,
0xB4, 0x59, 0xF6, 0x63, 0x94, 0xD9, 0x0F, 0x32, 0xAD, 0x3F, 0x15, 0xE8,
/* x */
0x37, 0x5D, 0x4C, 0xE2, 0x4F, 0xDE, 0x43, 0x44, 0x89, 0xDE, 0x87, 0x46,
0xE7, 0x17, 0x86, 0x01, 0x50, 0x09, 0xE6, 0x6E, 0x38, 0xA9, 0x26, 0xDD,
/* y */
0x54, 0x5A, 0x39, 0x17, 0x61, 0x96, 0x57, 0x5D, 0x98, 0x59, 0x99, 0x36,
0x6E, 0x6A, 0xD3, 0x4C, 0xE0, 0xA7, 0x7C, 0xD7, 0x12, 0x7B, 0x06, 0xBE,
/* order */
0x15, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55,
0x61, 0x0C, 0x0B, 0x19, 0x68, 0x12, 0xBF, 0xB6, 0x28, 0x8A, 0x3E, 0xA3
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 27 * 6];
} _EC_X9_62_CHAR2_208W1 = {
{
NID_X9_62_characteristic_two_field, 0, 27, 0xFE48
},
{
/* no seed */
/* p */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x07,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00,
/* b */
0x00, 0xC8, 0x61, 0x9E, 0xD4, 0x5A, 0x62, 0xE6, 0x21, 0x2E, 0x11, 0x60,
0x34, 0x9E, 0x2B, 0xFA, 0x84, 0x44, 0x39, 0xFA, 0xFC, 0x2A, 0x3F, 0xD1,
0x63, 0x8F, 0x9E,
/* x */
0x00, 0x89, 0xFD, 0xFB, 0xE4, 0xAB, 0xE1, 0x93, 0xDF, 0x95, 0x59, 0xEC,
0xF0, 0x7A, 0xC0, 0xCE, 0x78, 0x55, 0x4E, 0x27, 0x84, 0xEB, 0x8C, 0x1E,
0xD1, 0xA5, 0x7A,
/* y */
0x00, 0x0F, 0x55, 0xB5, 0x1A, 0x06, 0xE7, 0x8E, 0x9A, 0xC3, 0x8A, 0x03,
0x5F, 0xF5, 0x20, 0xD8, 0xB0, 0x17, 0x81, 0xBE, 0xB1, 0xA6, 0xBB, 0x08,
0x61, 0x7D, 0xE3,
/* order */
0x00, 0x00, 0x01, 0x01, 0xBA, 0xF9, 0x5C, 0x97, 0x23, 0xC5, 0x7B, 0x6C,
0x21, 0xDA, 0x2E, 0xFF, 0x2D, 0x5E, 0xD5, 0x88, 0xBD, 0xD5, 0x71, 0x7E,
0x21, 0x2F, 0x9D
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 30 * 6];
} _EC_X9_62_CHAR2_239V1 = {
{
NID_X9_62_characteristic_two_field, 20, 30, 4
},
{
/* seed */
0xD3, 0x4B, 0x9A, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51, 0x75,
0xCA, 0x71, 0xB9, 0x20, 0xBF, 0xEF, 0xB0, 0x5D,
/* p */
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x10, 0x00, 0x00, 0x00, 0x01,
/* a */
0x32, 0x01, 0x08, 0x57, 0x07, 0x7C, 0x54, 0x31, 0x12, 0x3A, 0x46, 0xB8,
0x08, 0x90, 0x67, 0x56, 0xF5, 0x43, 0x42, 0x3E, 0x8D, 0x27, 0x87, 0x75,
0x78, 0x12, 0x57, 0x78, 0xAC, 0x76,
/* b */
0x79, 0x04, 0x08, 0xF2, 0xEE, 0xDA, 0xF3, 0x92, 0xB0, 0x12, 0xED, 0xEF,
0xB3, 0x39, 0x2F, 0x30, 0xF4, 0x32, 0x7C, 0x0C, 0xA3, 0xF3, 0x1F, 0xC3,
0x83, 0xC4, 0x22, 0xAA, 0x8C, 0x16,
/* x */
0x57, 0x92, 0x70, 0x98, 0xFA, 0x93, 0x2E, 0x7C, 0x0A, 0x96, 0xD3, 0xFD,
0x5B, 0x70, 0x6E, 0xF7, 0xE5, 0xF5, 0xC1, 0x56, 0xE1, 0x6B, 0x7E, 0x7C,
0x86, 0x03, 0x85, 0x52, 0xE9, 0x1D,
/* y */
0x61, 0xD8, 0xEE, 0x50, 0x77, 0xC3, 0x3F, 0xEC, 0xF6, 0xF1, 0xA1, 0x6B,
0x26, 0x8D, 0xE4, 0x69, 0xC3, 0xC7, 0x74, 0x4E, 0xA9, 0xA9, 0x71, 0x64,
0x9F, 0xC7, 0xA9, 0x61, 0x63, 0x05,
/* order */
0x20, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x0F, 0x4D, 0x42, 0xFF, 0xE1, 0x49, 0x2A, 0x49, 0x93,
0xF1, 0xCA, 0xD6, 0x66, 0xE4, 0x47
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 30 * 6];
} _EC_X9_62_CHAR2_239V2 = {
{
NID_X9_62_characteristic_two_field, 20, 30, 6
},
{
/* seed */
0x2A, 0xA6, 0x98, 0x2F, 0xDF, 0xA4, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56,
0x15, 0x17, 0x5D, 0x26, 0x67, 0x27, 0x27, 0x7D,
/* p */
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x10, 0x00, 0x00, 0x00, 0x01,
/* a */
0x42, 0x30, 0x01, 0x77, 0x57, 0xA7, 0x67, 0xFA, 0xE4, 0x23, 0x98, 0x56,
0x9B, 0x74, 0x63, 0x25, 0xD4, 0x53, 0x13, 0xAF, 0x07, 0x66, 0x26, 0x64,
0x79, 0xB7, 0x56, 0x54, 0xE6, 0x5F,
/* b */
0x50, 0x37, 0xEA, 0x65, 0x41, 0x96, 0xCF, 0xF0, 0xCD, 0x82, 0xB2, 0xC1,
0x4A, 0x2F, 0xCF, 0x2E, 0x3F, 0xF8, 0x77, 0x52, 0x85, 0xB5, 0x45, 0x72,
0x2F, 0x03, 0xEA, 0xCD, 0xB7, 0x4B,
/* x */
0x28, 0xF9, 0xD0, 0x4E, 0x90, 0x00, 0x69, 0xC8, 0xDC, 0x47, 0xA0, 0x85,
0x34, 0xFE, 0x76, 0xD2, 0xB9, 0x00, 0xB7, 0xD7, 0xEF, 0x31, 0xF5, 0x70,
0x9F, 0x20, 0x0C, 0x4C, 0xA2, 0x05,
/* y */
0x56, 0x67, 0x33, 0x4C, 0x45, 0xAF, 0xF3, 0xB5, 0xA0, 0x3B, 0xAD, 0x9D,
0xD7, 0x5E, 0x2C, 0x71, 0xA9, 0x93, 0x62, 0x56, 0x7D, 0x54, 0x53, 0xF7,
0xFA, 0x6E, 0x22, 0x7E, 0xC8, 0x33,
/* order */
0x15, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55,
0x55, 0x55, 0x55, 0x3C, 0x6F, 0x28, 0x85, 0x25, 0x9C, 0x31, 0xE3, 0xFC,
0xDF, 0x15, 0x46, 0x24, 0x52, 0x2D
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 30 * 6];
} _EC_X9_62_CHAR2_239V3 = {
{
NID_X9_62_characteristic_two_field, 20, 30, 0xA
},
{
/* seed */
0x9E, 0x07, 0x6F, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51, 0x75,
0xE1, 0x1E, 0x9F, 0xDD, 0x77, 0xF9, 0x20, 0x41,
/* p */
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x10, 0x00, 0x00, 0x00, 0x01,
/* a */
0x01, 0x23, 0x87, 0x74, 0x66, 0x6A, 0x67, 0x76, 0x6D, 0x66, 0x76, 0xF7,
0x78, 0xE6, 0x76, 0xB6, 0x69, 0x99, 0x17, 0x66, 0x66, 0xE6, 0x87, 0x66,
0x6D, 0x87, 0x66, 0xC6, 0x6A, 0x9F,
/* b */
0x6A, 0x94, 0x19, 0x77, 0xBA, 0x9F, 0x6A, 0x43, 0x51, 0x99, 0xAC, 0xFC,
0x51, 0x06, 0x7E, 0xD5, 0x87, 0xF5, 0x19, 0xC5, 0xEC, 0xB5, 0x41, 0xB8,
0xE4, 0x41, 0x11, 0xDE, 0x1D, 0x40,
/* x */
0x70, 0xF6, 0xE9, 0xD0, 0x4D, 0x28, 0x9C, 0x4E, 0x89, 0x91, 0x3C, 0xE3,
0x53, 0x0B, 0xFD, 0xE9, 0x03, 0x97, 0x7D, 0x42, 0xB1, 0x46, 0xD5, 0x39,
0xBF, 0x1B, 0xDE, 0x4E, 0x9C, 0x92,
/* y */
0x2E, 0x5A, 0x0E, 0xAF, 0x6E, 0x5E, 0x13, 0x05, 0xB9, 0x00, 0x4D, 0xCE,
0x5C, 0x0E, 0xD7, 0xFE, 0x59, 0xA3, 0x56, 0x08, 0xF3, 0x38, 0x37, 0xC8,
0x16, 0xD8, 0x0B, 0x79, 0xF4, 0x61,
/* order */
0x0C, 0xCC, 0xCC, 0xCC, 0xCC, 0xCC, 0xCC, 0xCC, 0xCC, 0xCC, 0xCC, 0xCC,
0xCC, 0xCC, 0xCC, 0xAC, 0x49, 0x12, 0xD2, 0xD9, 0xDF, 0x90, 0x3E, 0xF9,
0x88, 0x8B, 0x8A, 0x0E, 0x4C, 0xFF
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 35 * 6];
} _EC_X9_62_CHAR2_272W1 = {
{
NID_X9_62_characteristic_two_field, 0, 35, 0xFF06
},
{
/* no seed */
/* p */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0B,
/* a */
0x00, 0x91, 0xA0, 0x91, 0xF0, 0x3B, 0x5F, 0xBA, 0x4A, 0xB2, 0xCC, 0xF4,
0x9C, 0x4E, 0xDD, 0x22, 0x0F, 0xB0, 0x28, 0x71, 0x2D, 0x42, 0xBE, 0x75,
0x2B, 0x2C, 0x40, 0x09, 0x4D, 0xBA, 0xCD, 0xB5, 0x86, 0xFB, 0x20,
/* b */
0x00, 0x71, 0x67, 0xEF, 0xC9, 0x2B, 0xB2, 0xE3, 0xCE, 0x7C, 0x8A, 0xAA,
0xFF, 0x34, 0xE1, 0x2A, 0x9C, 0x55, 0x70, 0x03, 0xD7, 0xC7, 0x3A, 0x6F,
0xAF, 0x00, 0x3F, 0x99, 0xF6, 0xCC, 0x84, 0x82, 0xE5, 0x40, 0xF7,
/* x */
0x00, 0x61, 0x08, 0xBA, 0xBB, 0x2C, 0xEE, 0xBC, 0xF7, 0x87, 0x05, 0x8A,
0x05, 0x6C, 0xBE, 0x0C, 0xFE, 0x62, 0x2D, 0x77, 0x23, 0xA2, 0x89, 0xE0,
0x8A, 0x07, 0xAE, 0x13, 0xEF, 0x0D, 0x10, 0xD1, 0x71, 0xDD, 0x8D,
/* y */
0x00, 0x10, 0xC7, 0x69, 0x57, 0x16, 0x85, 0x1E, 0xEF, 0x6B, 0xA7, 0xF6,
0x87, 0x2E, 0x61, 0x42, 0xFB, 0xD2, 0x41, 0xB8, 0x30, 0xFF, 0x5E, 0xFC,
0xAC, 0xEC, 0xCA, 0xB0, 0x5E, 0x02, 0x00, 0x5D, 0xDE, 0x9D, 0x23,
/* order */
0x00, 0x00, 0x01, 0x00, 0xFA, 0xF5, 0x13, 0x54, 0xE0, 0xE3, 0x9E, 0x48,
0x92, 0xDF, 0x6E, 0x31, 0x9C, 0x72, 0xC8, 0x16, 0x16, 0x03, 0xFA, 0x45,
0xAA, 0x7B, 0x99, 0x8A, 0x16, 0x7B, 0x8F, 0x1E, 0x62, 0x95, 0x21
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 39 * 6];
} _EC_X9_62_CHAR2_304W1 = {
{
NID_X9_62_characteristic_two_field, 0, 39, 0xFE2E
},
{
/* no seed */
/* p */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x08, 0x07,
/* a */
0x00, 0xFD, 0x0D, 0x69, 0x31, 0x49, 0xA1, 0x18, 0xF6, 0x51, 0xE6, 0xDC,
0xE6, 0x80, 0x20, 0x85, 0x37, 0x7E, 0x5F, 0x88, 0x2D, 0x1B, 0x51, 0x0B,
0x44, 0x16, 0x00, 0x74, 0xC1, 0x28, 0x80, 0x78, 0x36, 0x5A, 0x03, 0x96,
0xC8, 0xE6, 0x81,
/* b */
0x00, 0xBD, 0xDB, 0x97, 0xE5, 0x55, 0xA5, 0x0A, 0x90, 0x8E, 0x43, 0xB0,
0x1C, 0x79, 0x8E, 0xA5, 0xDA, 0xA6, 0x78, 0x8F, 0x1E, 0xA2, 0x79, 0x4E,
0xFC, 0xF5, 0x71, 0x66, 0xB8, 0xC1, 0x40, 0x39, 0x60, 0x1E, 0x55, 0x82,
0x73, 0x40, 0xBE,
/* x */
0x00, 0x19, 0x7B, 0x07, 0x84, 0x5E, 0x9B, 0xE2, 0xD9, 0x6A, 0xDB, 0x0F,
0x5F, 0x3C, 0x7F, 0x2C, 0xFF, 0xBD, 0x7A, 0x3E, 0xB8, 0xB6, 0xFE, 0xC3,
0x5C, 0x7F, 0xD6, 0x7F, 0x26, 0xDD, 0xF6, 0x28, 0x5A, 0x64, 0x4F, 0x74,
0x0A, 0x26, 0x14,
/* y */
0x00, 0xE1, 0x9F, 0xBE, 0xB7, 0x6E, 0x0D, 0xA1, 0x71, 0x51, 0x7E, 0xCF,
0x40, 0x1B, 0x50, 0x28, 0x9B, 0xF0, 0x14, 0x10, 0x32, 0x88, 0x52, 0x7A,
0x9B, 0x41, 0x6A, 0x10, 0x5E, 0x80, 0x26, 0x0B, 0x54, 0x9F, 0xDC, 0x1B,
0x92, 0xC0, 0x3B,
/* order */
0x00, 0x00, 0x01, 0x01, 0xD5, 0x56, 0x57, 0x2A, 0xAB, 0xAC, 0x80, 0x01,
0x01, 0xD5, 0x56, 0x57, 0x2A, 0xAB, 0xAC, 0x80, 0x01, 0x02, 0x2D, 0x5C,
0x91, 0xDD, 0x17, 0x3F, 0x8F, 0xB5, 0x61, 0xDA, 0x68, 0x99, 0x16, 0x44,
0x43, 0x05, 0x1D
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[20 + 45 * 6];
} _EC_X9_62_CHAR2_359V1 = {
{
NID_X9_62_characteristic_two_field, 20, 45, 0x4C
},
{
/* seed */
0x2B, 0x35, 0x49, 0x20, 0xB7, 0x24, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56,
0x15, 0x17, 0x58, 0x5B, 0xA1, 0x33, 0x2D, 0xC6,
/* p */
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x10, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* a */
0x56, 0x67, 0x67, 0x6A, 0x65, 0x4B, 0x20, 0x75, 0x4F, 0x35, 0x6E, 0xA9,
0x20, 0x17, 0xD9, 0x46, 0x56, 0x7C, 0x46, 0x67, 0x55, 0x56, 0xF1, 0x95,
0x56, 0xA0, 0x46, 0x16, 0xB5, 0x67, 0xD2, 0x23, 0xA5, 0xE0, 0x56, 0x56,
0xFB, 0x54, 0x90, 0x16, 0xA9, 0x66, 0x56, 0xA5, 0x57,
/* b */
0x24, 0x72, 0xE2, 0xD0, 0x19, 0x7C, 0x49, 0x36, 0x3F, 0x1F, 0xE7, 0xF5,
0xB6, 0xDB, 0x07, 0x5D, 0x52, 0xB6, 0x94, 0x7D, 0x13, 0x5D, 0x8C, 0xA4,
0x45, 0x80, 0x5D, 0x39, 0xBC, 0x34, 0x56, 0x26, 0x08, 0x96, 0x87, 0x74,
0x2B, 0x63, 0x29, 0xE7, 0x06, 0x80, 0x23, 0x19, 0x88,
/* x */
0x3C, 0x25, 0x8E, 0xF3, 0x04, 0x77, 0x67, 0xE7, 0xED, 0xE0, 0xF1, 0xFD,
0xAA, 0x79, 0xDA, 0xEE, 0x38, 0x41, 0x36, 0x6A, 0x13, 0x2E, 0x16, 0x3A,
0xCE, 0xD4, 0xED, 0x24, 0x01, 0xDF, 0x9C, 0x6B, 0xDC, 0xDE, 0x98, 0xE8,
0xE7, 0x07, 0xC0, 0x7A, 0x22, 0x39, 0xB1, 0xB0, 0x97,
/* y */
0x53, 0xD7, 0xE0, 0x85, 0x29, 0x54, 0x70, 0x48, 0x12, 0x1E, 0x9C, 0x95,
0xF3, 0x79, 0x1D, 0xD8, 0x04, 0x96, 0x39, 0x48, 0xF3, 0x4F, 0xAE, 0x7B,
0xF4, 0x4E, 0xA8, 0x23, 0x65, 0xDC, 0x78, 0x68, 0xFE, 0x57, 0xE4, 0xAE,
0x2D, 0xE2, 0x11, 0x30, 0x5A, 0x40, 0x71, 0x04, 0xBD,
/* order */
0x01, 0xAF, 0x28, 0x6B, 0xCA, 0x1A, 0xF2, 0x86, 0xBC, 0xA1, 0xAF, 0x28,
0x6B, 0xCA, 0x1A, 0xF2, 0x86, 0xBC, 0xA1, 0xAF, 0x28, 0x6B, 0xC9, 0xFB,
0x8F, 0x6B, 0x85, 0xC5, 0x56, 0x89, 0x2C, 0x20, 0xA7, 0xEB, 0x96, 0x4F,
0xE7, 0x71, 0x9E, 0x74, 0xF4, 0x90, 0x75, 0x8D, 0x3B
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 47 * 6];
} _EC_X9_62_CHAR2_368W1 = {
{
NID_X9_62_characteristic_two_field, 0, 47, 0xFF70
},
{
/* no seed */
/* p */
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x20, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x07,
/* a */
0x00, 0xE0, 0xD2, 0xEE, 0x25, 0x09, 0x52, 0x06, 0xF5, 0xE2, 0xA4, 0xF9,
0xED, 0x22, 0x9F, 0x1F, 0x25, 0x6E, 0x79, 0xA0, 0xE2, 0xB4, 0x55, 0x97,
0x0D, 0x8D, 0x0D, 0x86, 0x5B, 0xD9, 0x47, 0x78, 0xC5, 0x76, 0xD6, 0x2F,
0x0A, 0xB7, 0x51, 0x9C, 0xCD, 0x2A, 0x1A, 0x90, 0x6A, 0xE3, 0x0D,
/* b */
0x00, 0xFC, 0x12, 0x17, 0xD4, 0x32, 0x0A, 0x90, 0x45, 0x2C, 0x76, 0x0A,
0x58, 0xED, 0xCD, 0x30, 0xC8, 0xDD, 0x06, 0x9B, 0x3C, 0x34, 0x45, 0x38,
0x37, 0xA3, 0x4E, 0xD5, 0x0C, 0xB5, 0x49, 0x17, 0xE1, 0xC2, 0x11, 0x2D,
0x84, 0xD1, 0x64, 0xF4, 0x44, 0xF8, 0xF7, 0x47, 0x86, 0x04, 0x6A,
/* x */
0x00, 0x10, 0x85, 0xE2, 0x75, 0x53, 0x81, 0xDC, 0xCC, 0xE3, 0xC1, 0x55,
0x7A, 0xFA, 0x10, 0xC2, 0xF0, 0xC0, 0xC2, 0x82, 0x56, 0x46, 0xC5, 0xB3,
0x4A, 0x39, 0x4C, 0xBC, 0xFA, 0x8B, 0xC1, 0x6B, 0x22, 0xE7, 0xE7, 0x89,
0xE9, 0x27, 0xBE, 0x21, 0x6F, 0x02, 0xE1, 0xFB, 0x13, 0x6A, 0x5F,
/* y */
0x00, 0x7B, 0x3E, 0xB1, 0xBD, 0xDC, 0xBA, 0x62, 0xD5, 0xD8, 0xB2, 0x05,
0x9B, 0x52, 0x57, 0x97, 0xFC, 0x73, 0x82, 0x2C, 0x59, 0x05, 0x9C, 0x62,
0x3A, 0x45, 0xFF, 0x38, 0x43, 0xCE, 0xE8, 0xF8, 0x7C, 0xD1, 0x85, 0x5A,
0xDA, 0xA8, 0x1E, 0x2A, 0x07, 0x50, 0xB8, 0x0F, 0xDA, 0x23, 0x10,
/* order */
0x00, 0x00, 0x01, 0x00, 0x90, 0x51, 0x2D, 0xA9, 0xAF, 0x72, 0xB0, 0x83,
0x49, 0xD9, 0x8A, 0x5D, 0xD4, 0xC7, 0xB0, 0x53, 0x2E, 0xCA, 0x51, 0xCE,
0x03, 0xE2, 0xD1, 0x0F, 0x3B, 0x7A, 0xC5, 0x79, 0xBD, 0x87, 0xE9, 0x09,
0xAE, 0x40, 0xA6, 0xF1, 0x31, 0xE9, 0xCF, 0xCE, 0x5B, 0xD9, 0x67
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 54 * 6];
} _EC_X9_62_CHAR2_431R1 = {
{
NID_X9_62_characteristic_two_field, 0, 54, 0x2760
},
{
/* no seed */
/* p */
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* a */
0x1A, 0x82, 0x7E, 0xF0, 0x0D, 0xD6, 0xFC, 0x0E, 0x23, 0x4C, 0xAF, 0x04,
0x6C, 0x6A, 0x5D, 0x8A, 0x85, 0x39, 0x5B, 0x23, 0x6C, 0xC4, 0xAD, 0x2C,
0xF3, 0x2A, 0x0C, 0xAD, 0xBD, 0xC9, 0xDD, 0xF6, 0x20, 0xB0, 0xEB, 0x99,
0x06, 0xD0, 0x95, 0x7F, 0x6C, 0x6F, 0xEA, 0xCD, 0x61, 0x54, 0x68, 0xDF,
0x10, 0x4D, 0xE2, 0x96, 0xCD, 0x8F,
/* b */
0x10, 0xD9, 0xB4, 0xA3, 0xD9, 0x04, 0x7D, 0x8B, 0x15, 0x43, 0x59, 0xAB,
0xFB, 0x1B, 0x7F, 0x54, 0x85, 0xB0, 0x4C, 0xEB, 0x86, 0x82, 0x37, 0xDD,
0xC9, 0xDE, 0xDA, 0x98, 0x2A, 0x67, 0x9A, 0x5A, 0x91, 0x9B, 0x62, 0x6D,
0x4E, 0x50, 0xA8, 0xDD, 0x73, 0x1B, 0x10, 0x7A, 0x99, 0x62, 0x38, 0x1F,
0xB5, 0xD8, 0x07, 0xBF, 0x26, 0x18,
/* x */
0x12, 0x0F, 0xC0, 0x5D, 0x3C, 0x67, 0xA9, 0x9D, 0xE1, 0x61, 0xD2, 0xF4,
0x09, 0x26, 0x22, 0xFE, 0xCA, 0x70, 0x1B, 0xE4, 0xF5, 0x0F, 0x47, 0x58,
0x71, 0x4E, 0x8A, 0x87, 0xBB, 0xF2, 0xA6, 0x58, 0xEF, 0x8C, 0x21, 0xE7,
0xC5, 0xEF, 0xE9, 0x65, 0x36, 0x1F, 0x6C, 0x29, 0x99, 0xC0, 0xC2, 0x47,
0xB0, 0xDB, 0xD7, 0x0C, 0xE6, 0xB7,
/* y */
0x20, 0xD0, 0xAF, 0x89, 0x03, 0xA9, 0x6F, 0x8D, 0x5F, 0xA2, 0xC2, 0x55,
0x74, 0x5D, 0x3C, 0x45, 0x1B, 0x30, 0x2C, 0x93, 0x46, 0xD9, 0xB7, 0xE4,
0x85, 0xE7, 0xBC, 0xE4, 0x1F, 0x6B, 0x59, 0x1F, 0x3E, 0x8F, 0x6A, 0xDD,
0xCB, 0xB0, 0xBC, 0x4C, 0x2F, 0x94, 0x7A, 0x7D, 0xE1, 0xA8, 0x9B, 0x62,
0x5D, 0x6A, 0x59, 0x8B, 0x37, 0x60,
/* order */
0x00, 0x03, 0x40, 0x34, 0x03, 0x40, 0x34, 0x03, 0x40, 0x34, 0x03, 0x40,
0x34, 0x03, 0x40, 0x34, 0x03, 0x40, 0x34, 0x03, 0x40, 0x34, 0x03, 0x40,
0x34, 0x03, 0x40, 0x34, 0x03, 0x23, 0xC3, 0x13, 0xFA, 0xB5, 0x05, 0x89,
0x70, 0x3B, 0x5E, 0xC6, 0x8D, 0x35, 0x87, 0xFE, 0xC6, 0x0D, 0x16, 0x1C,
0xC1, 0x49, 0xC1, 0xAD, 0x4A, 0x91
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 15 * 6];
} _EC_WTLS_1 = {
{
NID_X9_62_characteristic_two_field, 0, 15, 2
},
{
/* no seed */
/* p */
0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x02, 0x01,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x01,
/* b */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x01,
/* x */
0x01, 0x66, 0x79, 0x79, 0xA4, 0x0B, 0xA4, 0x97, 0xE5, 0xD5, 0xC2, 0x70,
0x78, 0x06, 0x17,
/* y */
0x00, 0xF4, 0x4B, 0x4A, 0xF1, 0xEC, 0xC2, 0x63, 0x0E, 0x08, 0x78, 0x5C,
0xEB, 0xCC, 0x15,
/* order */
0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFD, 0xBF, 0x91, 0xAF,
0x6D, 0xEA, 0x73
}
};
/* IPSec curves */
/*
* NOTE: The of curves over a extension field of non prime degree is not
* recommended (Weil-descent). As the group order is not a prime this curve
* is not suitable for ECDSA.
*/
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 20 * 6];
} _EC_IPSEC_155_ID3 = {
{
NID_X9_62_characteristic_two_field, 0, 20, 3
},
{
/* no seed */
/* p */
0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x40, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
/* b */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x07, 0x33, 0x8f,
/* x */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x7b,
/* y */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xc8,
/* order */
0x02, 0xAA, 0xAA, 0xAA, 0xAA, 0xAA, 0xAA, 0xAA, 0xAA, 0xAA, 0xC7, 0xF3,
0xC7, 0x88, 0x1B, 0xD0, 0x86, 0x8F, 0xA8, 0x6C
}
};
/*
* NOTE: The of curves over a extension field of non prime degree is not
* recommended (Weil-descent). As the group order is not a prime this curve
* is not suitable for ECDSA.
*/
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 24 * 6];
} _EC_IPSEC_185_ID4 = {
{
NID_X9_62_characteristic_two_field, 0, 24, 2
},
{
/* no seed */
/* p */
0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x20, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
/* a */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
/* b */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x1e, 0xe9,
/* x */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x18,
/* y */
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0d,
/* order */
0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xED, 0xF9, 0x7C, 0x44, 0xDB, 0x9F, 0x24, 0x20, 0xBA, 0xFC, 0xA7, 0x5E
}
};
# endif /* FIPS_MODULE */
#endif /* OPENSSL_NO_EC2M */
/*
* These curves were added by Annie Yousar.
* For the definition of RFC 5639 curves see
* http://www.ietf.org/rfc/rfc5639.txt These curves are generated verifiable
* at random, nevertheless the seed is omitted as parameter because the
* generation mechanism is different from those defined in ANSI X9.62.
*/
#ifndef FIPS_MODULE
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 20 * 6];
} _EC_brainpoolP160r1 = {
{
NID_X9_62_prime_field, 0, 20, 1
},
{
/* no seed */
/* p */
0xE9, 0x5E, 0x4A, 0x5F, 0x73, 0x70, 0x59, 0xDC, 0x60, 0xDF, 0xC7, 0xAD,
0x95, 0xB3, 0xD8, 0x13, 0x95, 0x15, 0x62, 0x0F,
/* a */
0x34, 0x0E, 0x7B, 0xE2, 0xA2, 0x80, 0xEB, 0x74, 0xE2, 0xBE, 0x61, 0xBA,
0xDA, 0x74, 0x5D, 0x97, 0xE8, 0xF7, 0xC3, 0x00,
/* b */
0x1E, 0x58, 0x9A, 0x85, 0x95, 0x42, 0x34, 0x12, 0x13, 0x4F, 0xAA, 0x2D,
0xBD, 0xEC, 0x95, 0xC8, 0xD8, 0x67, 0x5E, 0x58,
/* x */
0xBE, 0xD5, 0xAF, 0x16, 0xEA, 0x3F, 0x6A, 0x4F, 0x62, 0x93, 0x8C, 0x46,
0x31, 0xEB, 0x5A, 0xF7, 0xBD, 0xBC, 0xDB, 0xC3,
/* y */
0x16, 0x67, 0xCB, 0x47, 0x7A, 0x1A, 0x8E, 0xC3, 0x38, 0xF9, 0x47, 0x41,
0x66, 0x9C, 0x97, 0x63, 0x16, 0xDA, 0x63, 0x21,
/* order */
0xE9, 0x5E, 0x4A, 0x5F, 0x73, 0x70, 0x59, 0xDC, 0x60, 0xDF, 0x59, 0x91,
0xD4, 0x50, 0x29, 0x40, 0x9E, 0x60, 0xFC, 0x09
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 20 * 6];
} _EC_brainpoolP160t1 = {
{
NID_X9_62_prime_field, 0, 20, 1
},
{
/* no seed */
/* p */
0xE9, 0x5E, 0x4A, 0x5F, 0x73, 0x70, 0x59, 0xDC, 0x60, 0xDF, 0xC7, 0xAD,
0x95, 0xB3, 0xD8, 0x13, 0x95, 0x15, 0x62, 0x0F,
/* a */
0xE9, 0x5E, 0x4A, 0x5F, 0x73, 0x70, 0x59, 0xDC, 0x60, 0xDF, 0xC7, 0xAD,
0x95, 0xB3, 0xD8, 0x13, 0x95, 0x15, 0x62, 0x0C,
/* b */
0x7A, 0x55, 0x6B, 0x6D, 0xAE, 0x53, 0x5B, 0x7B, 0x51, 0xED, 0x2C, 0x4D,
0x7D, 0xAA, 0x7A, 0x0B, 0x5C, 0x55, 0xF3, 0x80,
/* x */
0xB1, 0x99, 0xB1, 0x3B, 0x9B, 0x34, 0xEF, 0xC1, 0x39, 0x7E, 0x64, 0xBA,
0xEB, 0x05, 0xAC, 0xC2, 0x65, 0xFF, 0x23, 0x78,
/* y */
0xAD, 0xD6, 0x71, 0x8B, 0x7C, 0x7C, 0x19, 0x61, 0xF0, 0x99, 0x1B, 0x84,
0x24, 0x43, 0x77, 0x21, 0x52, 0xC9, 0xE0, 0xAD,
/* order */
0xE9, 0x5E, 0x4A, 0x5F, 0x73, 0x70, 0x59, 0xDC, 0x60, 0xDF, 0x59, 0x91,
0xD4, 0x50, 0x29, 0x40, 0x9E, 0x60, 0xFC, 0x09
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 24 * 6];
} _EC_brainpoolP192r1 = {
{
NID_X9_62_prime_field, 0, 24, 1
},
{
/* no seed */
/* p */
0xC3, 0x02, 0xF4, 0x1D, 0x93, 0x2A, 0x36, 0xCD, 0xA7, 0xA3, 0x46, 0x30,
0x93, 0xD1, 0x8D, 0xB7, 0x8F, 0xCE, 0x47, 0x6D, 0xE1, 0xA8, 0x62, 0x97,
/* a */
0x6A, 0x91, 0x17, 0x40, 0x76, 0xB1, 0xE0, 0xE1, 0x9C, 0x39, 0xC0, 0x31,
0xFE, 0x86, 0x85, 0xC1, 0xCA, 0xE0, 0x40, 0xE5, 0xC6, 0x9A, 0x28, 0xEF,
/* b */
0x46, 0x9A, 0x28, 0xEF, 0x7C, 0x28, 0xCC, 0xA3, 0xDC, 0x72, 0x1D, 0x04,
0x4F, 0x44, 0x96, 0xBC, 0xCA, 0x7E, 0xF4, 0x14, 0x6F, 0xBF, 0x25, 0xC9,
/* x */
0xC0, 0xA0, 0x64, 0x7E, 0xAA, 0xB6, 0xA4, 0x87, 0x53, 0xB0, 0x33, 0xC5,
0x6C, 0xB0, 0xF0, 0x90, 0x0A, 0x2F, 0x5C, 0x48, 0x53, 0x37, 0x5F, 0xD6,
/* y */
0x14, 0xB6, 0x90, 0x86, 0x6A, 0xBD, 0x5B, 0xB8, 0x8B, 0x5F, 0x48, 0x28,
0xC1, 0x49, 0x00, 0x02, 0xE6, 0x77, 0x3F, 0xA2, 0xFA, 0x29, 0x9B, 0x8F,
/* order */
0xC3, 0x02, 0xF4, 0x1D, 0x93, 0x2A, 0x36, 0xCD, 0xA7, 0xA3, 0x46, 0x2F,
0x9E, 0x9E, 0x91, 0x6B, 0x5B, 0xE8, 0xF1, 0x02, 0x9A, 0xC4, 0xAC, 0xC1
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 24 * 6];
} _EC_brainpoolP192t1 = {
{
NID_X9_62_prime_field, 0, 24, 1
},
{
/* no seed */
/* p */
0xC3, 0x02, 0xF4, 0x1D, 0x93, 0x2A, 0x36, 0xCD, 0xA7, 0xA3, 0x46, 0x30,
0x93, 0xD1, 0x8D, 0xB7, 0x8F, 0xCE, 0x47, 0x6D, 0xE1, 0xA8, 0x62, 0x97,
/* a */
0xC3, 0x02, 0xF4, 0x1D, 0x93, 0x2A, 0x36, 0xCD, 0xA7, 0xA3, 0x46, 0x30,
0x93, 0xD1, 0x8D, 0xB7, 0x8F, 0xCE, 0x47, 0x6D, 0xE1, 0xA8, 0x62, 0x94,
/* b */
0x13, 0xD5, 0x6F, 0xFA, 0xEC, 0x78, 0x68, 0x1E, 0x68, 0xF9, 0xDE, 0xB4,
0x3B, 0x35, 0xBE, 0xC2, 0xFB, 0x68, 0x54, 0x2E, 0x27, 0x89, 0x7B, 0x79,
/* x */
0x3A, 0xE9, 0xE5, 0x8C, 0x82, 0xF6, 0x3C, 0x30, 0x28, 0x2E, 0x1F, 0xE7,
0xBB, 0xF4, 0x3F, 0xA7, 0x2C, 0x44, 0x6A, 0xF6, 0xF4, 0x61, 0x81, 0x29,
/* y */
0x09, 0x7E, 0x2C, 0x56, 0x67, 0xC2, 0x22, 0x3A, 0x90, 0x2A, 0xB5, 0xCA,
0x44, 0x9D, 0x00, 0x84, 0xB7, 0xE5, 0xB3, 0xDE, 0x7C, 0xCC, 0x01, 0xC9,
/* order */
0xC3, 0x02, 0xF4, 0x1D, 0x93, 0x2A, 0x36, 0xCD, 0xA7, 0xA3, 0x46, 0x2F,
0x9E, 0x9E, 0x91, 0x6B, 0x5B, 0xE8, 0xF1, 0x02, 0x9A, 0xC4, 0xAC, 0xC1
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 28 * 6];
} _EC_brainpoolP224r1 = {
{
NID_X9_62_prime_field, 0, 28, 1
},
{
/* no seed */
/* p */
0xD7, 0xC1, 0x34, 0xAA, 0x26, 0x43, 0x66, 0x86, 0x2A, 0x18, 0x30, 0x25,
0x75, 0xD1, 0xD7, 0x87, 0xB0, 0x9F, 0x07, 0x57, 0x97, 0xDA, 0x89, 0xF5,
0x7E, 0xC8, 0xC0, 0xFF,
/* a */
0x68, 0xA5, 0xE6, 0x2C, 0xA9, 0xCE, 0x6C, 0x1C, 0x29, 0x98, 0x03, 0xA6,
0xC1, 0x53, 0x0B, 0x51, 0x4E, 0x18, 0x2A, 0xD8, 0xB0, 0x04, 0x2A, 0x59,
0xCA, 0xD2, 0x9F, 0x43,
/* b */
0x25, 0x80, 0xF6, 0x3C, 0xCF, 0xE4, 0x41, 0x38, 0x87, 0x07, 0x13, 0xB1,
0xA9, 0x23, 0x69, 0xE3, 0x3E, 0x21, 0x35, 0xD2, 0x66, 0xDB, 0xB3, 0x72,
0x38, 0x6C, 0x40, 0x0B,
/* x */
0x0D, 0x90, 0x29, 0xAD, 0x2C, 0x7E, 0x5C, 0xF4, 0x34, 0x08, 0x23, 0xB2,
0xA8, 0x7D, 0xC6, 0x8C, 0x9E, 0x4C, 0xE3, 0x17, 0x4C, 0x1E, 0x6E, 0xFD,
0xEE, 0x12, 0xC0, 0x7D,
/* y */
0x58, 0xAA, 0x56, 0xF7, 0x72, 0xC0, 0x72, 0x6F, 0x24, 0xC6, 0xB8, 0x9E,
0x4E, 0xCD, 0xAC, 0x24, 0x35, 0x4B, 0x9E, 0x99, 0xCA, 0xA3, 0xF6, 0xD3,
0x76, 0x14, 0x02, 0xCD,
/* order */
0xD7, 0xC1, 0x34, 0xAA, 0x26, 0x43, 0x66, 0x86, 0x2A, 0x18, 0x30, 0x25,
0x75, 0xD0, 0xFB, 0x98, 0xD1, 0x16, 0xBC, 0x4B, 0x6D, 0xDE, 0xBC, 0xA3,
0xA5, 0xA7, 0x93, 0x9F
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 28 * 6];
} _EC_brainpoolP224t1 = {
{
NID_X9_62_prime_field, 0, 28, 1
},
{
/* no seed */
/* p */
0xD7, 0xC1, 0x34, 0xAA, 0x26, 0x43, 0x66, 0x86, 0x2A, 0x18, 0x30, 0x25,
0x75, 0xD1, 0xD7, 0x87, 0xB0, 0x9F, 0x07, 0x57, 0x97, 0xDA, 0x89, 0xF5,
0x7E, 0xC8, 0xC0, 0xFF,
/* a */
0xD7, 0xC1, 0x34, 0xAA, 0x26, 0x43, 0x66, 0x86, 0x2A, 0x18, 0x30, 0x25,
0x75, 0xD1, 0xD7, 0x87, 0xB0, 0x9F, 0x07, 0x57, 0x97, 0xDA, 0x89, 0xF5,
0x7E, 0xC8, 0xC0, 0xFC,
/* b */
0x4B, 0x33, 0x7D, 0x93, 0x41, 0x04, 0xCD, 0x7B, 0xEF, 0x27, 0x1B, 0xF6,
0x0C, 0xED, 0x1E, 0xD2, 0x0D, 0xA1, 0x4C, 0x08, 0xB3, 0xBB, 0x64, 0xF1,
0x8A, 0x60, 0x88, 0x8D,
/* x */
0x6A, 0xB1, 0xE3, 0x44, 0xCE, 0x25, 0xFF, 0x38, 0x96, 0x42, 0x4E, 0x7F,
0xFE, 0x14, 0x76, 0x2E, 0xCB, 0x49, 0xF8, 0x92, 0x8A, 0xC0, 0xC7, 0x60,
0x29, 0xB4, 0xD5, 0x80,
/* y */
0x03, 0x74, 0xE9, 0xF5, 0x14, 0x3E, 0x56, 0x8C, 0xD2, 0x3F, 0x3F, 0x4D,
0x7C, 0x0D, 0x4B, 0x1E, 0x41, 0xC8, 0xCC, 0x0D, 0x1C, 0x6A, 0xBD, 0x5F,
0x1A, 0x46, 0xDB, 0x4C,
/* order */
0xD7, 0xC1, 0x34, 0xAA, 0x26, 0x43, 0x66, 0x86, 0x2A, 0x18, 0x30, 0x25,
0x75, 0xD0, 0xFB, 0x98, 0xD1, 0x16, 0xBC, 0x4B, 0x6D, 0xDE, 0xBC, 0xA3,
0xA5, 0xA7, 0x93, 0x9F
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 32 * 6];
} _EC_brainpoolP256r1 = {
{
NID_X9_62_prime_field, 0, 32, 1
},
{
/* no seed */
/* p */
0xA9, 0xFB, 0x57, 0xDB, 0xA1, 0xEE, 0xA9, 0xBC, 0x3E, 0x66, 0x0A, 0x90,
0x9D, 0x83, 0x8D, 0x72, 0x6E, 0x3B, 0xF6, 0x23, 0xD5, 0x26, 0x20, 0x28,
0x20, 0x13, 0x48, 0x1D, 0x1F, 0x6E, 0x53, 0x77,
/* a */
0x7D, 0x5A, 0x09, 0x75, 0xFC, 0x2C, 0x30, 0x57, 0xEE, 0xF6, 0x75, 0x30,
0x41, 0x7A, 0xFF, 0xE7, 0xFB, 0x80, 0x55, 0xC1, 0x26, 0xDC, 0x5C, 0x6C,
0xE9, 0x4A, 0x4B, 0x44, 0xF3, 0x30, 0xB5, 0xD9,
/* b */
0x26, 0xDC, 0x5C, 0x6C, 0xE9, 0x4A, 0x4B, 0x44, 0xF3, 0x30, 0xB5, 0xD9,
0xBB, 0xD7, 0x7C, 0xBF, 0x95, 0x84, 0x16, 0x29, 0x5C, 0xF7, 0xE1, 0xCE,
0x6B, 0xCC, 0xDC, 0x18, 0xFF, 0x8C, 0x07, 0xB6,
/* x */
0x8B, 0xD2, 0xAE, 0xB9, 0xCB, 0x7E, 0x57, 0xCB, 0x2C, 0x4B, 0x48, 0x2F,
0xFC, 0x81, 0xB7, 0xAF, 0xB9, 0xDE, 0x27, 0xE1, 0xE3, 0xBD, 0x23, 0xC2,
0x3A, 0x44, 0x53, 0xBD, 0x9A, 0xCE, 0x32, 0x62,
/* y */
0x54, 0x7E, 0xF8, 0x35, 0xC3, 0xDA, 0xC4, 0xFD, 0x97, 0xF8, 0x46, 0x1A,
0x14, 0x61, 0x1D, 0xC9, 0xC2, 0x77, 0x45, 0x13, 0x2D, 0xED, 0x8E, 0x54,
0x5C, 0x1D, 0x54, 0xC7, 0x2F, 0x04, 0x69, 0x97,
/* order */
0xA9, 0xFB, 0x57, 0xDB, 0xA1, 0xEE, 0xA9, 0xBC, 0x3E, 0x66, 0x0A, 0x90,
0x9D, 0x83, 0x8D, 0x71, 0x8C, 0x39, 0x7A, 0xA3, 0xB5, 0x61, 0xA6, 0xF7,
0x90, 0x1E, 0x0E, 0x82, 0x97, 0x48, 0x56, 0xA7
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 32 * 6];
} _EC_brainpoolP256t1 = {
{
NID_X9_62_prime_field, 0, 32, 1
},
{
/* no seed */
/* p */
0xA9, 0xFB, 0x57, 0xDB, 0xA1, 0xEE, 0xA9, 0xBC, 0x3E, 0x66, 0x0A, 0x90,
0x9D, 0x83, 0x8D, 0x72, 0x6E, 0x3B, 0xF6, 0x23, 0xD5, 0x26, 0x20, 0x28,
0x20, 0x13, 0x48, 0x1D, 0x1F, 0x6E, 0x53, 0x77,
/* a */
0xA9, 0xFB, 0x57, 0xDB, 0xA1, 0xEE, 0xA9, 0xBC, 0x3E, 0x66, 0x0A, 0x90,
0x9D, 0x83, 0x8D, 0x72, 0x6E, 0x3B, 0xF6, 0x23, 0xD5, 0x26, 0x20, 0x28,
0x20, 0x13, 0x48, 0x1D, 0x1F, 0x6E, 0x53, 0x74,
/* b */
0x66, 0x2C, 0x61, 0xC4, 0x30, 0xD8, 0x4E, 0xA4, 0xFE, 0x66, 0xA7, 0x73,
0x3D, 0x0B, 0x76, 0xB7, 0xBF, 0x93, 0xEB, 0xC4, 0xAF, 0x2F, 0x49, 0x25,
0x6A, 0xE5, 0x81, 0x01, 0xFE, 0xE9, 0x2B, 0x04,
/* x */
0xA3, 0xE8, 0xEB, 0x3C, 0xC1, 0xCF, 0xE7, 0xB7, 0x73, 0x22, 0x13, 0xB2,
0x3A, 0x65, 0x61, 0x49, 0xAF, 0xA1, 0x42, 0xC4, 0x7A, 0xAF, 0xBC, 0x2B,
0x79, 0xA1, 0x91, 0x56, 0x2E, 0x13, 0x05, 0xF4,
/* y */
0x2D, 0x99, 0x6C, 0x82, 0x34, 0x39, 0xC5, 0x6D, 0x7F, 0x7B, 0x22, 0xE1,
0x46, 0x44, 0x41, 0x7E, 0x69, 0xBC, 0xB6, 0xDE, 0x39, 0xD0, 0x27, 0x00,
0x1D, 0xAB, 0xE8, 0xF3, 0x5B, 0x25, 0xC9, 0xBE,
/* order */
0xA9, 0xFB, 0x57, 0xDB, 0xA1, 0xEE, 0xA9, 0xBC, 0x3E, 0x66, 0x0A, 0x90,
0x9D, 0x83, 0x8D, 0x71, 0x8C, 0x39, 0x7A, 0xA3, 0xB5, 0x61, 0xA6, 0xF7,
0x90, 0x1E, 0x0E, 0x82, 0x97, 0x48, 0x56, 0xA7
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 40 * 6];
} _EC_brainpoolP320r1 = {
{
NID_X9_62_prime_field, 0, 40, 1
},
{
/* no seed */
/* p */
0xD3, 0x5E, 0x47, 0x20, 0x36, 0xBC, 0x4F, 0xB7, 0xE1, 0x3C, 0x78, 0x5E,
0xD2, 0x01, 0xE0, 0x65, 0xF9, 0x8F, 0xCF, 0xA6, 0xF6, 0xF4, 0x0D, 0xEF,
0x4F, 0x92, 0xB9, 0xEC, 0x78, 0x93, 0xEC, 0x28, 0xFC, 0xD4, 0x12, 0xB1,
0xF1, 0xB3, 0x2E, 0x27,
/* a */
0x3E, 0xE3, 0x0B, 0x56, 0x8F, 0xBA, 0xB0, 0xF8, 0x83, 0xCC, 0xEB, 0xD4,
0x6D, 0x3F, 0x3B, 0xB8, 0xA2, 0xA7, 0x35, 0x13, 0xF5, 0xEB, 0x79, 0xDA,
0x66, 0x19, 0x0E, 0xB0, 0x85, 0xFF, 0xA9, 0xF4, 0x92, 0xF3, 0x75, 0xA9,
0x7D, 0x86, 0x0E, 0xB4,
/* b */
0x52, 0x08, 0x83, 0x94, 0x9D, 0xFD, 0xBC, 0x42, 0xD3, 0xAD, 0x19, 0x86,
0x40, 0x68, 0x8A, 0x6F, 0xE1, 0x3F, 0x41, 0x34, 0x95, 0x54, 0xB4, 0x9A,
0xCC, 0x31, 0xDC, 0xCD, 0x88, 0x45, 0x39, 0x81, 0x6F, 0x5E, 0xB4, 0xAC,
0x8F, 0xB1, 0xF1, 0xA6,
/* x */
0x43, 0xBD, 0x7E, 0x9A, 0xFB, 0x53, 0xD8, 0xB8, 0x52, 0x89, 0xBC, 0xC4,
0x8E, 0xE5, 0xBF, 0xE6, 0xF2, 0x01, 0x37, 0xD1, 0x0A, 0x08, 0x7E, 0xB6,
0xE7, 0x87, 0x1E, 0x2A, 0x10, 0xA5, 0x99, 0xC7, 0x10, 0xAF, 0x8D, 0x0D,
0x39, 0xE2, 0x06, 0x11,
/* y */
0x14, 0xFD, 0xD0, 0x55, 0x45, 0xEC, 0x1C, 0xC8, 0xAB, 0x40, 0x93, 0x24,
0x7F, 0x77, 0x27, 0x5E, 0x07, 0x43, 0xFF, 0xED, 0x11, 0x71, 0x82, 0xEA,
0xA9, 0xC7, 0x78, 0x77, 0xAA, 0xAC, 0x6A, 0xC7, 0xD3, 0x52, 0x45, 0xD1,
0x69, 0x2E, 0x8E, 0xE1,
/* order */
0xD3, 0x5E, 0x47, 0x20, 0x36, 0xBC, 0x4F, 0xB7, 0xE1, 0x3C, 0x78, 0x5E,
0xD2, 0x01, 0xE0, 0x65, 0xF9, 0x8F, 0xCF, 0xA5, 0xB6, 0x8F, 0x12, 0xA3,
0x2D, 0x48, 0x2E, 0xC7, 0xEE, 0x86, 0x58, 0xE9, 0x86, 0x91, 0x55, 0x5B,
0x44, 0xC5, 0x93, 0x11
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 40 * 6];
} _EC_brainpoolP320t1 = {
{
NID_X9_62_prime_field, 0, 40, 1
},
{
/* no seed */
/* p */
0xD3, 0x5E, 0x47, 0x20, 0x36, 0xBC, 0x4F, 0xB7, 0xE1, 0x3C, 0x78, 0x5E,
0xD2, 0x01, 0xE0, 0x65, 0xF9, 0x8F, 0xCF, 0xA6, 0xF6, 0xF4, 0x0D, 0xEF,
0x4F, 0x92, 0xB9, 0xEC, 0x78, 0x93, 0xEC, 0x28, 0xFC, 0xD4, 0x12, 0xB1,
0xF1, 0xB3, 0x2E, 0x27,
/* a */
0xD3, 0x5E, 0x47, 0x20, 0x36, 0xBC, 0x4F, 0xB7, 0xE1, 0x3C, 0x78, 0x5E,
0xD2, 0x01, 0xE0, 0x65, 0xF9, 0x8F, 0xCF, 0xA6, 0xF6, 0xF4, 0x0D, 0xEF,
0x4F, 0x92, 0xB9, 0xEC, 0x78, 0x93, 0xEC, 0x28, 0xFC, 0xD4, 0x12, 0xB1,
0xF1, 0xB3, 0x2E, 0x24,
/* b */
0xA7, 0xF5, 0x61, 0xE0, 0x38, 0xEB, 0x1E, 0xD5, 0x60, 0xB3, 0xD1, 0x47,
0xDB, 0x78, 0x20, 0x13, 0x06, 0x4C, 0x19, 0xF2, 0x7E, 0xD2, 0x7C, 0x67,
0x80, 0xAA, 0xF7, 0x7F, 0xB8, 0xA5, 0x47, 0xCE, 0xB5, 0xB4, 0xFE, 0xF4,
0x22, 0x34, 0x03, 0x53,
/* x */
0x92, 0x5B, 0xE9, 0xFB, 0x01, 0xAF, 0xC6, 0xFB, 0x4D, 0x3E, 0x7D, 0x49,
0x90, 0x01, 0x0F, 0x81, 0x34, 0x08, 0xAB, 0x10, 0x6C, 0x4F, 0x09, 0xCB,
0x7E, 0xE0, 0x78, 0x68, 0xCC, 0x13, 0x6F, 0xFF, 0x33, 0x57, 0xF6, 0x24,
0xA2, 0x1B, 0xED, 0x52,
/* y */
0x63, 0xBA, 0x3A, 0x7A, 0x27, 0x48, 0x3E, 0xBF, 0x66, 0x71, 0xDB, 0xEF,
0x7A, 0xBB, 0x30, 0xEB, 0xEE, 0x08, 0x4E, 0x58, 0xA0, 0xB0, 0x77, 0xAD,
0x42, 0xA5, 0xA0, 0x98, 0x9D, 0x1E, 0xE7, 0x1B, 0x1B, 0x9B, 0xC0, 0x45,
0x5F, 0xB0, 0xD2, 0xC3,
/* order */
0xD3, 0x5E, 0x47, 0x20, 0x36, 0xBC, 0x4F, 0xB7, 0xE1, 0x3C, 0x78, 0x5E,
0xD2, 0x01, 0xE0, 0x65, 0xF9, 0x8F, 0xCF, 0xA5, 0xB6, 0x8F, 0x12, 0xA3,
0x2D, 0x48, 0x2E, 0xC7, 0xEE, 0x86, 0x58, 0xE9, 0x86, 0x91, 0x55, 0x5B,
0x44, 0xC5, 0x93, 0x11
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 48 * 6];
} _EC_brainpoolP384r1 = {
{
NID_X9_62_prime_field, 0, 48, 1
},
{
/* no seed */
/* p */
0x8C, 0xB9, 0x1E, 0x82, 0xA3, 0x38, 0x6D, 0x28, 0x0F, 0x5D, 0x6F, 0x7E,
0x50, 0xE6, 0x41, 0xDF, 0x15, 0x2F, 0x71, 0x09, 0xED, 0x54, 0x56, 0xB4,
0x12, 0xB1, 0xDA, 0x19, 0x7F, 0xB7, 0x11, 0x23, 0xAC, 0xD3, 0xA7, 0x29,
0x90, 0x1D, 0x1A, 0x71, 0x87, 0x47, 0x00, 0x13, 0x31, 0x07, 0xEC, 0x53,
/* a */
0x7B, 0xC3, 0x82, 0xC6, 0x3D, 0x8C, 0x15, 0x0C, 0x3C, 0x72, 0x08, 0x0A,
0xCE, 0x05, 0xAF, 0xA0, 0xC2, 0xBE, 0xA2, 0x8E, 0x4F, 0xB2, 0x27, 0x87,
0x13, 0x91, 0x65, 0xEF, 0xBA, 0x91, 0xF9, 0x0F, 0x8A, 0xA5, 0x81, 0x4A,
0x50, 0x3A, 0xD4, 0xEB, 0x04, 0xA8, 0xC7, 0xDD, 0x22, 0xCE, 0x28, 0x26,
/* b */
0x04, 0xA8, 0xC7, 0xDD, 0x22, 0xCE, 0x28, 0x26, 0x8B, 0x39, 0xB5, 0x54,
0x16, 0xF0, 0x44, 0x7C, 0x2F, 0xB7, 0x7D, 0xE1, 0x07, 0xDC, 0xD2, 0xA6,
0x2E, 0x88, 0x0E, 0xA5, 0x3E, 0xEB, 0x62, 0xD5, 0x7C, 0xB4, 0x39, 0x02,
0x95, 0xDB, 0xC9, 0x94, 0x3A, 0xB7, 0x86, 0x96, 0xFA, 0x50, 0x4C, 0x11,
/* x */
0x1D, 0x1C, 0x64, 0xF0, 0x68, 0xCF, 0x45, 0xFF, 0xA2, 0xA6, 0x3A, 0x81,
0xB7, 0xC1, 0x3F, 0x6B, 0x88, 0x47, 0xA3, 0xE7, 0x7E, 0xF1, 0x4F, 0xE3,
0xDB, 0x7F, 0xCA, 0xFE, 0x0C, 0xBD, 0x10, 0xE8, 0xE8, 0x26, 0xE0, 0x34,
0x36, 0xD6, 0x46, 0xAA, 0xEF, 0x87, 0xB2, 0xE2, 0x47, 0xD4, 0xAF, 0x1E,
/* y */
0x8A, 0xBE, 0x1D, 0x75, 0x20, 0xF9, 0xC2, 0xA4, 0x5C, 0xB1, 0xEB, 0x8E,
0x95, 0xCF, 0xD5, 0x52, 0x62, 0xB7, 0x0B, 0x29, 0xFE, 0xEC, 0x58, 0x64,
0xE1, 0x9C, 0x05, 0x4F, 0xF9, 0x91, 0x29, 0x28, 0x0E, 0x46, 0x46, 0x21,
0x77, 0x91, 0x81, 0x11, 0x42, 0x82, 0x03, 0x41, 0x26, 0x3C, 0x53, 0x15,
/* order */
0x8C, 0xB9, 0x1E, 0x82, 0xA3, 0x38, 0x6D, 0x28, 0x0F, 0x5D, 0x6F, 0x7E,
0x50, 0xE6, 0x41, 0xDF, 0x15, 0x2F, 0x71, 0x09, 0xED, 0x54, 0x56, 0xB3,
0x1F, 0x16, 0x6E, 0x6C, 0xAC, 0x04, 0x25, 0xA7, 0xCF, 0x3A, 0xB6, 0xAF,
0x6B, 0x7F, 0xC3, 0x10, 0x3B, 0x88, 0x32, 0x02, 0xE9, 0x04, 0x65, 0x65
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 48 * 6];
} _EC_brainpoolP384t1 = {
{
NID_X9_62_prime_field, 0, 48, 1
},
{
/* no seed */
/* p */
0x8C, 0xB9, 0x1E, 0x82, 0xA3, 0x38, 0x6D, 0x28, 0x0F, 0x5D, 0x6F, 0x7E,
0x50, 0xE6, 0x41, 0xDF, 0x15, 0x2F, 0x71, 0x09, 0xED, 0x54, 0x56, 0xB4,
0x12, 0xB1, 0xDA, 0x19, 0x7F, 0xB7, 0x11, 0x23, 0xAC, 0xD3, 0xA7, 0x29,
0x90, 0x1D, 0x1A, 0x71, 0x87, 0x47, 0x00, 0x13, 0x31, 0x07, 0xEC, 0x53,
/* a */
0x8C, 0xB9, 0x1E, 0x82, 0xA3, 0x38, 0x6D, 0x28, 0x0F, 0x5D, 0x6F, 0x7E,
0x50, 0xE6, 0x41, 0xDF, 0x15, 0x2F, 0x71, 0x09, 0xED, 0x54, 0x56, 0xB4,
0x12, 0xB1, 0xDA, 0x19, 0x7F, 0xB7, 0x11, 0x23, 0xAC, 0xD3, 0xA7, 0x29,
0x90, 0x1D, 0x1A, 0x71, 0x87, 0x47, 0x00, 0x13, 0x31, 0x07, 0xEC, 0x50,
/* b */
0x7F, 0x51, 0x9E, 0xAD, 0xA7, 0xBD, 0xA8, 0x1B, 0xD8, 0x26, 0xDB, 0xA6,
0x47, 0x91, 0x0F, 0x8C, 0x4B, 0x93, 0x46, 0xED, 0x8C, 0xCD, 0xC6, 0x4E,
0x4B, 0x1A, 0xBD, 0x11, 0x75, 0x6D, 0xCE, 0x1D, 0x20, 0x74, 0xAA, 0x26,
0x3B, 0x88, 0x80, 0x5C, 0xED, 0x70, 0x35, 0x5A, 0x33, 0xB4, 0x71, 0xEE,
/* x */
0x18, 0xDE, 0x98, 0xB0, 0x2D, 0xB9, 0xA3, 0x06, 0xF2, 0xAF, 0xCD, 0x72,
0x35, 0xF7, 0x2A, 0x81, 0x9B, 0x80, 0xAB, 0x12, 0xEB, 0xD6, 0x53, 0x17,
0x24, 0x76, 0xFE, 0xCD, 0x46, 0x2A, 0xAB, 0xFF, 0xC4, 0xFF, 0x19, 0x1B,
0x94, 0x6A, 0x5F, 0x54, 0xD8, 0xD0, 0xAA, 0x2F, 0x41, 0x88, 0x08, 0xCC,
/* y */
0x25, 0xAB, 0x05, 0x69, 0x62, 0xD3, 0x06, 0x51, 0xA1, 0x14, 0xAF, 0xD2,
0x75, 0x5A, 0xD3, 0x36, 0x74, 0x7F, 0x93, 0x47, 0x5B, 0x7A, 0x1F, 0xCA,
0x3B, 0x88, 0xF2, 0xB6, 0xA2, 0x08, 0xCC, 0xFE, 0x46, 0x94, 0x08, 0x58,
0x4D, 0xC2, 0xB2, 0x91, 0x26, 0x75, 0xBF, 0x5B, 0x9E, 0x58, 0x29, 0x28,
/* order */
0x8C, 0xB9, 0x1E, 0x82, 0xA3, 0x38, 0x6D, 0x28, 0x0F, 0x5D, 0x6F, 0x7E,
0x50, 0xE6, 0x41, 0xDF, 0x15, 0x2F, 0x71, 0x09, 0xED, 0x54, 0x56, 0xB3,
0x1F, 0x16, 0x6E, 0x6C, 0xAC, 0x04, 0x25, 0xA7, 0xCF, 0x3A, 0xB6, 0xAF,
0x6B, 0x7F, 0xC3, 0x10, 0x3B, 0x88, 0x32, 0x02, 0xE9, 0x04, 0x65, 0x65
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 64 * 6];
} _EC_brainpoolP512r1 = {
{
NID_X9_62_prime_field, 0, 64, 1
},
{
/* no seed */
/* p */
0xAA, 0xDD, 0x9D, 0xB8, 0xDB, 0xE9, 0xC4, 0x8B, 0x3F, 0xD4, 0xE6, 0xAE,
0x33, 0xC9, 0xFC, 0x07, 0xCB, 0x30, 0x8D, 0xB3, 0xB3, 0xC9, 0xD2, 0x0E,
0xD6, 0x63, 0x9C, 0xCA, 0x70, 0x33, 0x08, 0x71, 0x7D, 0x4D, 0x9B, 0x00,
0x9B, 0xC6, 0x68, 0x42, 0xAE, 0xCD, 0xA1, 0x2A, 0xE6, 0xA3, 0x80, 0xE6,
0x28, 0x81, 0xFF, 0x2F, 0x2D, 0x82, 0xC6, 0x85, 0x28, 0xAA, 0x60, 0x56,
0x58, 0x3A, 0x48, 0xF3,
/* a */
0x78, 0x30, 0xA3, 0x31, 0x8B, 0x60, 0x3B, 0x89, 0xE2, 0x32, 0x71, 0x45,
0xAC, 0x23, 0x4C, 0xC5, 0x94, 0xCB, 0xDD, 0x8D, 0x3D, 0xF9, 0x16, 0x10,
0xA8, 0x34, 0x41, 0xCA, 0xEA, 0x98, 0x63, 0xBC, 0x2D, 0xED, 0x5D, 0x5A,
0xA8, 0x25, 0x3A, 0xA1, 0x0A, 0x2E, 0xF1, 0xC9, 0x8B, 0x9A, 0xC8, 0xB5,
0x7F, 0x11, 0x17, 0xA7, 0x2B, 0xF2, 0xC7, 0xB9, 0xE7, 0xC1, 0xAC, 0x4D,
0x77, 0xFC, 0x94, 0xCA,
/* b */
0x3D, 0xF9, 0x16, 0x10, 0xA8, 0x34, 0x41, 0xCA, 0xEA, 0x98, 0x63, 0xBC,
0x2D, 0xED, 0x5D, 0x5A, 0xA8, 0x25, 0x3A, 0xA1, 0x0A, 0x2E, 0xF1, 0xC9,
0x8B, 0x9A, 0xC8, 0xB5, 0x7F, 0x11, 0x17, 0xA7, 0x2B, 0xF2, 0xC7, 0xB9,
0xE7, 0xC1, 0xAC, 0x4D, 0x77, 0xFC, 0x94, 0xCA, 0xDC, 0x08, 0x3E, 0x67,
0x98, 0x40, 0x50, 0xB7, 0x5E, 0xBA, 0xE5, 0xDD, 0x28, 0x09, 0xBD, 0x63,
0x80, 0x16, 0xF7, 0x23,
/* x */
0x81, 0xAE, 0xE4, 0xBD, 0xD8, 0x2E, 0xD9, 0x64, 0x5A, 0x21, 0x32, 0x2E,
0x9C, 0x4C, 0x6A, 0x93, 0x85, 0xED, 0x9F, 0x70, 0xB5, 0xD9, 0x16, 0xC1,
0xB4, 0x3B, 0x62, 0xEE, 0xF4, 0xD0, 0x09, 0x8E, 0xFF, 0x3B, 0x1F, 0x78,
0xE2, 0xD0, 0xD4, 0x8D, 0x50, 0xD1, 0x68, 0x7B, 0x93, 0xB9, 0x7D, 0x5F,
0x7C, 0x6D, 0x50, 0x47, 0x40, 0x6A, 0x5E, 0x68, 0x8B, 0x35, 0x22, 0x09,
0xBC, 0xB9, 0xF8, 0x22,
/* y */
0x7D, 0xDE, 0x38, 0x5D, 0x56, 0x63, 0x32, 0xEC, 0xC0, 0xEA, 0xBF, 0xA9,
0xCF, 0x78, 0x22, 0xFD, 0xF2, 0x09, 0xF7, 0x00, 0x24, 0xA5, 0x7B, 0x1A,
0xA0, 0x00, 0xC5, 0x5B, 0x88, 0x1F, 0x81, 0x11, 0xB2, 0xDC, 0xDE, 0x49,
0x4A, 0x5F, 0x48, 0x5E, 0x5B, 0xCA, 0x4B, 0xD8, 0x8A, 0x27, 0x63, 0xAE,
0xD1, 0xCA, 0x2B, 0x2F, 0xA8, 0xF0, 0x54, 0x06, 0x78, 0xCD, 0x1E, 0x0F,
0x3A, 0xD8, 0x08, 0x92,
/* order */
0xAA, 0xDD, 0x9D, 0xB8, 0xDB, 0xE9, 0xC4, 0x8B, 0x3F, 0xD4, 0xE6, 0xAE,
0x33, 0xC9, 0xFC, 0x07, 0xCB, 0x30, 0x8D, 0xB3, 0xB3, 0xC9, 0xD2, 0x0E,
0xD6, 0x63, 0x9C, 0xCA, 0x70, 0x33, 0x08, 0x70, 0x55, 0x3E, 0x5C, 0x41,
0x4C, 0xA9, 0x26, 0x19, 0x41, 0x86, 0x61, 0x19, 0x7F, 0xAC, 0x10, 0x47,
0x1D, 0xB1, 0xD3, 0x81, 0x08, 0x5D, 0xDA, 0xDD, 0xB5, 0x87, 0x96, 0x82,
0x9C, 0xA9, 0x00, 0x69
}
};
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 64 * 6];
} _EC_brainpoolP512t1 = {
{
NID_X9_62_prime_field, 0, 64, 1
},
{
/* no seed */
/* p */
0xAA, 0xDD, 0x9D, 0xB8, 0xDB, 0xE9, 0xC4, 0x8B, 0x3F, 0xD4, 0xE6, 0xAE,
0x33, 0xC9, 0xFC, 0x07, 0xCB, 0x30, 0x8D, 0xB3, 0xB3, 0xC9, 0xD2, 0x0E,
0xD6, 0x63, 0x9C, 0xCA, 0x70, 0x33, 0x08, 0x71, 0x7D, 0x4D, 0x9B, 0x00,
0x9B, 0xC6, 0x68, 0x42, 0xAE, 0xCD, 0xA1, 0x2A, 0xE6, 0xA3, 0x80, 0xE6,
0x28, 0x81, 0xFF, 0x2F, 0x2D, 0x82, 0xC6, 0x85, 0x28, 0xAA, 0x60, 0x56,
0x58, 0x3A, 0x48, 0xF3,
/* a */
0xAA, 0xDD, 0x9D, 0xB8, 0xDB, 0xE9, 0xC4, 0x8B, 0x3F, 0xD4, 0xE6, 0xAE,
0x33, 0xC9, 0xFC, 0x07, 0xCB, 0x30, 0x8D, 0xB3, 0xB3, 0xC9, 0xD2, 0x0E,
0xD6, 0x63, 0x9C, 0xCA, 0x70, 0x33, 0x08, 0x71, 0x7D, 0x4D, 0x9B, 0x00,
0x9B, 0xC6, 0x68, 0x42, 0xAE, 0xCD, 0xA1, 0x2A, 0xE6, 0xA3, 0x80, 0xE6,
0x28, 0x81, 0xFF, 0x2F, 0x2D, 0x82, 0xC6, 0x85, 0x28, 0xAA, 0x60, 0x56,
0x58, 0x3A, 0x48, 0xF0,
/* b */
0x7C, 0xBB, 0xBC, 0xF9, 0x44, 0x1C, 0xFA, 0xB7, 0x6E, 0x18, 0x90, 0xE4,
0x68, 0x84, 0xEA, 0xE3, 0x21, 0xF7, 0x0C, 0x0B, 0xCB, 0x49, 0x81, 0x52,
0x78, 0x97, 0x50, 0x4B, 0xEC, 0x3E, 0x36, 0xA6, 0x2B, 0xCD, 0xFA, 0x23,
0x04, 0x97, 0x65, 0x40, 0xF6, 0x45, 0x00, 0x85, 0xF2, 0xDA, 0xE1, 0x45,
0xC2, 0x25, 0x53, 0xB4, 0x65, 0x76, 0x36, 0x89, 0x18, 0x0E, 0xA2, 0x57,
0x18, 0x67, 0x42, 0x3E,
/* x */
0x64, 0x0E, 0xCE, 0x5C, 0x12, 0x78, 0x87, 0x17, 0xB9, 0xC1, 0xBA, 0x06,
0xCB, 0xC2, 0xA6, 0xFE, 0xBA, 0x85, 0x84, 0x24, 0x58, 0xC5, 0x6D, 0xDE,
0x9D, 0xB1, 0x75, 0x8D, 0x39, 0xC0, 0x31, 0x3D, 0x82, 0xBA, 0x51, 0x73,
0x5C, 0xDB, 0x3E, 0xA4, 0x99, 0xAA, 0x77, 0xA7, 0xD6, 0x94, 0x3A, 0x64,
0xF7, 0xA3, 0xF2, 0x5F, 0xE2, 0x6F, 0x06, 0xB5, 0x1B, 0xAA, 0x26, 0x96,
0xFA, 0x90, 0x35, 0xDA,
/* y */
0x5B, 0x53, 0x4B, 0xD5, 0x95, 0xF5, 0xAF, 0x0F, 0xA2, 0xC8, 0x92, 0x37,
0x6C, 0x84, 0xAC, 0xE1, 0xBB, 0x4E, 0x30, 0x19, 0xB7, 0x16, 0x34, 0xC0,
0x11, 0x31, 0x15, 0x9C, 0xAE, 0x03, 0xCE, 0xE9, 0xD9, 0x93, 0x21, 0x84,
0xBE, 0xEF, 0x21, 0x6B, 0xD7, 0x1D, 0xF2, 0xDA, 0xDF, 0x86, 0xA6, 0x27,
0x30, 0x6E, 0xCF, 0xF9, 0x6D, 0xBB, 0x8B, 0xAC, 0xE1, 0x98, 0xB6, 0x1E,
0x00, 0xF8, 0xB3, 0x32,
/* order */
0xAA, 0xDD, 0x9D, 0xB8, 0xDB, 0xE9, 0xC4, 0x8B, 0x3F, 0xD4, 0xE6, 0xAE,
0x33, 0xC9, 0xFC, 0x07, 0xCB, 0x30, 0x8D, 0xB3, 0xB3, 0xC9, 0xD2, 0x0E,
0xD6, 0x63, 0x9C, 0xCA, 0x70, 0x33, 0x08, 0x70, 0x55, 0x3E, 0x5C, 0x41,
0x4C, 0xA9, 0x26, 0x19, 0x41, 0x86, 0x61, 0x19, 0x7F, 0xAC, 0x10, 0x47,
0x1D, 0xB1, 0xD3, 0x81, 0x08, 0x5D, 0xDA, 0xDD, 0xB5, 0x87, 0x96, 0x82,
0x9C, 0xA9, 0x00, 0x69
}
};
#endif /* FIPS_MODULE */
#if !defined(OPENSSL_NO_SM2) && !defined(FIPS_MODULE)
static const struct {
EC_CURVE_DATA h;
unsigned char data[0 + 32 * 6];
} _EC_sm2p256v1 = {
{
NID_X9_62_prime_field, 0, 32, 1
},
{
/* no seed */
/* p */
0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
/* a */
0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfc,
/* b */
0x28, 0xe9, 0xfa, 0x9e, 0x9d, 0x9f, 0x5e, 0x34, 0x4d, 0x5a, 0x9e, 0x4b,
0xcf, 0x65, 0x09, 0xa7, 0xf3, 0x97, 0x89, 0xf5, 0x15, 0xab, 0x8f, 0x92,
0xdd, 0xbc, 0xbd, 0x41, 0x4d, 0x94, 0x0e, 0x93,
/* x */
0x32, 0xc4, 0xae, 0x2c, 0x1f, 0x19, 0x81, 0x19, 0x5f, 0x99, 0x04, 0x46,
0x6a, 0x39, 0xc9, 0x94, 0x8f, 0xe3, 0x0b, 0xbf, 0xf2, 0x66, 0x0b, 0xe1,
0x71, 0x5a, 0x45, 0x89, 0x33, 0x4c, 0x74, 0xc7,
/* y */
0xbc, 0x37, 0x36, 0xa2, 0xf4, 0xf6, 0x77, 0x9c, 0x59, 0xbd, 0xce, 0xe3,
0x6b, 0x69, 0x21, 0x53, 0xd0, 0xa9, 0x87, 0x7c, 0xc6, 0x2a, 0x47, 0x40,
0x02, 0xdf, 0x32, 0xe5, 0x21, 0x39, 0xf0, 0xa0,
/* order */
0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0x72, 0x03, 0xdf, 0x6b, 0x21, 0xc6, 0x05, 0x2b,
0x53, 0xbb, 0xf4, 0x09, 0x39, 0xd5, 0x41, 0x23,
}
};
#endif /* OPENSSL_NO_SM2 */
typedef struct _ec_list_element_st {
int nid;
const EC_CURVE_DATA *data;
const EC_METHOD *(*meth) (void);
const char *comment;
} ec_list_element;
#ifdef FIPS_MODULE
static const ec_list_element curve_list[] = {
/* prime field curves */
/* secg curves */
{NID_secp224r1, &_EC_NIST_PRIME_224.h,
# if !defined(OPENSSL_NO_EC_NISTP_64_GCC_128)
EC_GFp_nistp224_method,
# else
0,
# endif
"NIST/SECG curve over a 224 bit prime field"},
/* SECG secp256r1 is the same as X9.62 prime256v1 and hence omitted */
{NID_secp384r1, &_EC_NIST_PRIME_384.h,
# if defined(S390X_EC_ASM)
EC_GFp_s390x_nistp384_method,
# elif !defined(OPENSSL_NO_EC_NISTP_64_GCC_128)
ossl_ec_GFp_nistp384_method,
# else
0,
# endif
"NIST/SECG curve over a 384 bit prime field"},
{NID_secp521r1, &_EC_NIST_PRIME_521.h,
# if defined(S390X_EC_ASM)
EC_GFp_s390x_nistp521_method,
# elif !defined(OPENSSL_NO_EC_NISTP_64_GCC_128)
EC_GFp_nistp521_method,
# else
0,
# endif
"NIST/SECG curve over a 521 bit prime field"},
/* X9.62 curves */
{NID_X9_62_prime192v1, &_EC_NIST_PRIME_192.h, 0,
"NIST/X9.62/SECG curve over a 192 bit prime field"},
{NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1.h,
# if defined(ECP_NISTZ256_ASM)
EC_GFp_nistz256_method,
# elif defined(S390X_EC_ASM)
EC_GFp_s390x_nistp256_method,
# elif !defined(OPENSSL_NO_EC_NISTP_64_GCC_128)
EC_GFp_nistp256_method,
# else
0,
# endif
"X9.62/SECG curve over a 256 bit prime field"},
# ifndef OPENSSL_NO_EC2M
/* characteristic two field curves */
/* NIST/SECG curves */
{NID_sect163k1, &_EC_NIST_CHAR2_163K.h, 0,
"NIST/SECG/WTLS curve over a 163 bit binary field"},
{NID_sect163r2, &_EC_NIST_CHAR2_163B.h, 0,
"NIST/SECG curve over a 163 bit binary field"},
{NID_sect233k1, &_EC_NIST_CHAR2_233K.h, 0,
"NIST/SECG/WTLS curve over a 233 bit binary field"},
{NID_sect233r1, &_EC_NIST_CHAR2_233B.h, 0,
"NIST/SECG/WTLS curve over a 233 bit binary field"},
{NID_sect283k1, &_EC_NIST_CHAR2_283K.h, 0,
"NIST/SECG curve over a 283 bit binary field"},
{NID_sect283r1, &_EC_NIST_CHAR2_283B.h, 0,
"NIST/SECG curve over a 283 bit binary field"},
{NID_sect409k1, &_EC_NIST_CHAR2_409K.h, 0,
"NIST/SECG curve over a 409 bit binary field"},
{NID_sect409r1, &_EC_NIST_CHAR2_409B.h, 0,
"NIST/SECG curve over a 409 bit binary field"},
{NID_sect571k1, &_EC_NIST_CHAR2_571K.h, 0,
"NIST/SECG curve over a 571 bit binary field"},
{NID_sect571r1, &_EC_NIST_CHAR2_571B.h, 0,
"NIST/SECG curve over a 571 bit binary field"},
# endif
};
#else
static const ec_list_element curve_list[] = {
/* prime field curves */
/* secg curves */
{NID_secp112r1, &_EC_SECG_PRIME_112R1.h, 0,
"SECG/WTLS curve over a 112 bit prime field"},
{NID_secp112r2, &_EC_SECG_PRIME_112R2.h, 0,
"SECG curve over a 112 bit prime field"},
{NID_secp128r1, &_EC_SECG_PRIME_128R1.h, 0,
"SECG curve over a 128 bit prime field"},
{NID_secp128r2, &_EC_SECG_PRIME_128R2.h, 0,
"SECG curve over a 128 bit prime field"},
{NID_secp160k1, &_EC_SECG_PRIME_160K1.h, 0,
"SECG curve over a 160 bit prime field"},
{NID_secp160r1, &_EC_SECG_PRIME_160R1.h, 0,
"SECG curve over a 160 bit prime field"},
{NID_secp160r2, &_EC_SECG_PRIME_160R2.h, 0,
"SECG/WTLS curve over a 160 bit prime field"},
/* SECG secp192r1 is the same as X9.62 prime192v1 and hence omitted */
{NID_secp192k1, &_EC_SECG_PRIME_192K1.h, 0,
"SECG curve over a 192 bit prime field"},
{NID_secp224k1, &_EC_SECG_PRIME_224K1.h, 0,
"SECG curve over a 224 bit prime field"},
# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
{NID_secp224r1, &_EC_NIST_PRIME_224.h, EC_GFp_nistp224_method,
"NIST/SECG curve over a 224 bit prime field"},
# else
{NID_secp224r1, &_EC_NIST_PRIME_224.h, 0,
"NIST/SECG curve over a 224 bit prime field"},
# endif
{NID_secp256k1, &_EC_SECG_PRIME_256K1.h, 0,
"SECG curve over a 256 bit prime field"},
/* SECG secp256r1 is the same as X9.62 prime256v1 and hence omitted */
{NID_secp384r1, &_EC_NIST_PRIME_384.h,
# if defined(S390X_EC_ASM)
EC_GFp_s390x_nistp384_method,
# elif !defined(OPENSSL_NO_EC_NISTP_64_GCC_128)
ossl_ec_GFp_nistp384_method,
# else
0,
# endif
"NIST/SECG curve over a 384 bit prime field"},
{NID_secp521r1, &_EC_NIST_PRIME_521.h,
# if defined(S390X_EC_ASM)
EC_GFp_s390x_nistp521_method,
# elif !defined(OPENSSL_NO_EC_NISTP_64_GCC_128)
EC_GFp_nistp521_method,
# else
0,
# endif
"NIST/SECG curve over a 521 bit prime field"},
/* X9.62 curves */
{NID_X9_62_prime192v1, &_EC_NIST_PRIME_192.h, 0,
"NIST/X9.62/SECG curve over a 192 bit prime field"},
{NID_X9_62_prime192v2, &_EC_X9_62_PRIME_192V2.h, 0,
"X9.62 curve over a 192 bit prime field"},
{NID_X9_62_prime192v3, &_EC_X9_62_PRIME_192V3.h, 0,
"X9.62 curve over a 192 bit prime field"},
{NID_X9_62_prime239v1, &_EC_X9_62_PRIME_239V1.h, 0,
"X9.62 curve over a 239 bit prime field"},
{NID_X9_62_prime239v2, &_EC_X9_62_PRIME_239V2.h, 0,
"X9.62 curve over a 239 bit prime field"},
{NID_X9_62_prime239v3, &_EC_X9_62_PRIME_239V3.h, 0,
"X9.62 curve over a 239 bit prime field"},
{NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1.h,
# if defined(ECP_NISTZ256_ASM)
EC_GFp_nistz256_method,
# elif defined(S390X_EC_ASM)
EC_GFp_s390x_nistp256_method,
# elif !defined(OPENSSL_NO_EC_NISTP_64_GCC_128)
EC_GFp_nistp256_method,
# else
0,
# endif
"X9.62/SECG curve over a 256 bit prime field"},
# ifndef OPENSSL_NO_EC2M
/* characteristic two field curves */
/* NIST/SECG curves */
{NID_sect113r1, &_EC_SECG_CHAR2_113R1.h, 0,
"SECG curve over a 113 bit binary field"},
{NID_sect113r2, &_EC_SECG_CHAR2_113R2.h, 0,
"SECG curve over a 113 bit binary field"},
{NID_sect131r1, &_EC_SECG_CHAR2_131R1.h, 0,
"SECG/WTLS curve over a 131 bit binary field"},
{NID_sect131r2, &_EC_SECG_CHAR2_131R2.h, 0,
"SECG curve over a 131 bit binary field"},
{NID_sect163k1, &_EC_NIST_CHAR2_163K.h, 0,
"NIST/SECG/WTLS curve over a 163 bit binary field"},
{NID_sect163r1, &_EC_SECG_CHAR2_163R1.h, 0,
"SECG curve over a 163 bit binary field"},
{NID_sect163r2, &_EC_NIST_CHAR2_163B.h, 0,
"NIST/SECG curve over a 163 bit binary field"},
{NID_sect193r1, &_EC_SECG_CHAR2_193R1.h, 0,
"SECG curve over a 193 bit binary field"},
{NID_sect193r2, &_EC_SECG_CHAR2_193R2.h, 0,
"SECG curve over a 193 bit binary field"},
{NID_sect233k1, &_EC_NIST_CHAR2_233K.h, 0,
"NIST/SECG/WTLS curve over a 233 bit binary field"},
{NID_sect233r1, &_EC_NIST_CHAR2_233B.h, 0,
"NIST/SECG/WTLS curve over a 233 bit binary field"},
{NID_sect239k1, &_EC_SECG_CHAR2_239K1.h, 0,
"SECG curve over a 239 bit binary field"},
{NID_sect283k1, &_EC_NIST_CHAR2_283K.h, 0,
"NIST/SECG curve over a 283 bit binary field"},
{NID_sect283r1, &_EC_NIST_CHAR2_283B.h, 0,
"NIST/SECG curve over a 283 bit binary field"},
{NID_sect409k1, &_EC_NIST_CHAR2_409K.h, 0,
"NIST/SECG curve over a 409 bit binary field"},
{NID_sect409r1, &_EC_NIST_CHAR2_409B.h, 0,
"NIST/SECG curve over a 409 bit binary field"},
{NID_sect571k1, &_EC_NIST_CHAR2_571K.h, 0,
"NIST/SECG curve over a 571 bit binary field"},
{NID_sect571r1, &_EC_NIST_CHAR2_571B.h, 0,
"NIST/SECG curve over a 571 bit binary field"},
/* X9.62 curves */
{NID_X9_62_c2pnb163v1, &_EC_X9_62_CHAR2_163V1.h, 0,
"X9.62 curve over a 163 bit binary field"},
{NID_X9_62_c2pnb163v2, &_EC_X9_62_CHAR2_163V2.h, 0,
"X9.62 curve over a 163 bit binary field"},
{NID_X9_62_c2pnb163v3, &_EC_X9_62_CHAR2_163V3.h, 0,
"X9.62 curve over a 163 bit binary field"},
{NID_X9_62_c2pnb176v1, &_EC_X9_62_CHAR2_176V1.h, 0,
"X9.62 curve over a 176 bit binary field"},
{NID_X9_62_c2tnb191v1, &_EC_X9_62_CHAR2_191V1.h, 0,
"X9.62 curve over a 191 bit binary field"},
{NID_X9_62_c2tnb191v2, &_EC_X9_62_CHAR2_191V2.h, 0,
"X9.62 curve over a 191 bit binary field"},
{NID_X9_62_c2tnb191v3, &_EC_X9_62_CHAR2_191V3.h, 0,
"X9.62 curve over a 191 bit binary field"},
{NID_X9_62_c2pnb208w1, &_EC_X9_62_CHAR2_208W1.h, 0,
"X9.62 curve over a 208 bit binary field"},
{NID_X9_62_c2tnb239v1, &_EC_X9_62_CHAR2_239V1.h, 0,
"X9.62 curve over a 239 bit binary field"},
{NID_X9_62_c2tnb239v2, &_EC_X9_62_CHAR2_239V2.h, 0,
"X9.62 curve over a 239 bit binary field"},
{NID_X9_62_c2tnb239v3, &_EC_X9_62_CHAR2_239V3.h, 0,
"X9.62 curve over a 239 bit binary field"},
{NID_X9_62_c2pnb272w1, &_EC_X9_62_CHAR2_272W1.h, 0,
"X9.62 curve over a 272 bit binary field"},
{NID_X9_62_c2pnb304w1, &_EC_X9_62_CHAR2_304W1.h, 0,
"X9.62 curve over a 304 bit binary field"},
{NID_X9_62_c2tnb359v1, &_EC_X9_62_CHAR2_359V1.h, 0,
"X9.62 curve over a 359 bit binary field"},
{NID_X9_62_c2pnb368w1, &_EC_X9_62_CHAR2_368W1.h, 0,
"X9.62 curve over a 368 bit binary field"},
{NID_X9_62_c2tnb431r1, &_EC_X9_62_CHAR2_431R1.h, 0,
"X9.62 curve over a 431 bit binary field"},
/*
* the WAP/WTLS curves [unlike SECG, spec has its own OIDs for curves
* from X9.62]
*/
{NID_wap_wsg_idm_ecid_wtls1, &_EC_WTLS_1.h, 0,
"WTLS curve over a 113 bit binary field"},
{NID_wap_wsg_idm_ecid_wtls3, &_EC_NIST_CHAR2_163K.h, 0,
"NIST/SECG/WTLS curve over a 163 bit binary field"},
{NID_wap_wsg_idm_ecid_wtls4, &_EC_SECG_CHAR2_113R1.h, 0,
"SECG curve over a 113 bit binary field"},
{NID_wap_wsg_idm_ecid_wtls5, &_EC_X9_62_CHAR2_163V1.h, 0,
"X9.62 curve over a 163 bit binary field"},
# endif
{NID_wap_wsg_idm_ecid_wtls6, &_EC_SECG_PRIME_112R1.h, 0,
"SECG/WTLS curve over a 112 bit prime field"},
{NID_wap_wsg_idm_ecid_wtls7, &_EC_SECG_PRIME_160R2.h, 0,
"SECG/WTLS curve over a 160 bit prime field"},
{NID_wap_wsg_idm_ecid_wtls8, &_EC_WTLS_8.h, 0,
"WTLS curve over a 112 bit prime field"},
{NID_wap_wsg_idm_ecid_wtls9, &_EC_WTLS_9.h, 0,
"WTLS curve over a 160 bit prime field"},
# ifndef OPENSSL_NO_EC2M
{NID_wap_wsg_idm_ecid_wtls10, &_EC_NIST_CHAR2_233K.h, 0,
"NIST/SECG/WTLS curve over a 233 bit binary field"},
{NID_wap_wsg_idm_ecid_wtls11, &_EC_NIST_CHAR2_233B.h, 0,
"NIST/SECG/WTLS curve over a 233 bit binary field"},
# endif
{NID_wap_wsg_idm_ecid_wtls12, &_EC_WTLS_12.h, 0,
"WTLS curve over a 224 bit prime field"},
# ifndef OPENSSL_NO_EC2M
/* IPSec curves */
{NID_ipsec3, &_EC_IPSEC_155_ID3.h, 0,
"\n\tIPSec/IKE/Oakley curve #3 over a 155 bit binary field.\n"
"\tNot suitable for ECDSA.\n\tQuestionable extension field!"},
{NID_ipsec4, &_EC_IPSEC_185_ID4.h, 0,
"\n\tIPSec/IKE/Oakley curve #4 over a 185 bit binary field.\n"
"\tNot suitable for ECDSA.\n\tQuestionable extension field!"},
# endif
/* brainpool curves */
{NID_brainpoolP160r1, &_EC_brainpoolP160r1.h, 0,
"RFC 5639 curve over a 160 bit prime field"},
{NID_brainpoolP160t1, &_EC_brainpoolP160t1.h, 0,
"RFC 5639 curve over a 160 bit prime field"},
{NID_brainpoolP192r1, &_EC_brainpoolP192r1.h, 0,
"RFC 5639 curve over a 192 bit prime field"},
{NID_brainpoolP192t1, &_EC_brainpoolP192t1.h, 0,
"RFC 5639 curve over a 192 bit prime field"},
{NID_brainpoolP224r1, &_EC_brainpoolP224r1.h, 0,
"RFC 5639 curve over a 224 bit prime field"},
{NID_brainpoolP224t1, &_EC_brainpoolP224t1.h, 0,
"RFC 5639 curve over a 224 bit prime field"},
{NID_brainpoolP256r1, &_EC_brainpoolP256r1.h, 0,
"RFC 5639 curve over a 256 bit prime field"},
{NID_brainpoolP256t1, &_EC_brainpoolP256t1.h, 0,
"RFC 5639 curve over a 256 bit prime field"},
{NID_brainpoolP320r1, &_EC_brainpoolP320r1.h, 0,
"RFC 5639 curve over a 320 bit prime field"},
{NID_brainpoolP320t1, &_EC_brainpoolP320t1.h, 0,
"RFC 5639 curve over a 320 bit prime field"},
{NID_brainpoolP384r1, &_EC_brainpoolP384r1.h, 0,
"RFC 5639 curve over a 384 bit prime field"},
{NID_brainpoolP384t1, &_EC_brainpoolP384t1.h, 0,
"RFC 5639 curve over a 384 bit prime field"},
{NID_brainpoolP512r1, &_EC_brainpoolP512r1.h, 0,
"RFC 5639 curve over a 512 bit prime field"},
{NID_brainpoolP512t1, &_EC_brainpoolP512t1.h, 0,
"RFC 5639 curve over a 512 bit prime field"},
#ifndef OPENSSL_NO_SM2
{NID_sm2, &_EC_sm2p256v1.h,
# ifdef ECP_SM2P256_ASM
EC_GFp_sm2p256_method,
# else
0,
# endif
"SM2 curve over a 256 bit prime field"},
# endif
};
#endif /* FIPS_MODULE */
#define curve_list_length OSSL_NELEM(curve_list)
static const ec_list_element *ec_curve_nid2curve(int nid)
{
size_t i;
if (nid <= 0)
return NULL;
for (i = 0; i < curve_list_length; i++) {
if (curve_list[i].nid == nid)
return &curve_list[i];
}
return NULL;
}
static EC_GROUP *ec_group_new_from_data(OSSL_LIB_CTX *libctx,
const char *propq,
const ec_list_element curve)
{
EC_GROUP *group = NULL;
EC_POINT *P = NULL;
BN_CTX *ctx = NULL;
BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL, *order =
NULL;
int ok = 0;
int seed_len, param_len;
const EC_METHOD *meth;
const EC_CURVE_DATA *data;
const unsigned char *params;
/* If no curve data curve method must handle everything */
if (curve.data == NULL)
return ossl_ec_group_new_ex(libctx, propq,
curve.meth != NULL ? curve.meth() : NULL);
if ((ctx = BN_CTX_new_ex(libctx)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
data = curve.data;
seed_len = data->seed_len;
param_len = data->param_len;
params = (const unsigned char *)(data + 1); /* skip header */
params += seed_len; /* skip seed */
if ((p = BN_bin2bn(params + 0 * param_len, param_len, NULL)) == NULL
|| (a = BN_bin2bn(params + 1 * param_len, param_len, NULL)) == NULL
|| (b = BN_bin2bn(params + 2 * param_len, param_len, NULL)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if (curve.meth != 0) {
meth = curve.meth();
if (((group = ossl_ec_group_new_ex(libctx, propq, meth)) == NULL) ||
(!(group->meth->group_set_curve(group, p, a, b, ctx)))) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
} else if (data->field_type == NID_X9_62_prime_field) {
if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
}
#ifndef OPENSSL_NO_EC2M
else { /* field_type ==
* NID_X9_62_characteristic_two_field */
if ((group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
}
#endif
EC_GROUP_set_curve_name(group, curve.nid);
if ((P = EC_POINT_new(group)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if ((x = BN_bin2bn(params + 3 * param_len, param_len, NULL)) == NULL
|| (y = BN_bin2bn(params + 4 * param_len, param_len, NULL)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if (!EC_POINT_set_affine_coordinates(group, P, x, y, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if ((order = BN_bin2bn(params + 5 * param_len, param_len, NULL)) == NULL
|| !BN_set_word(x, (BN_ULONG)data->cofactor)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if (!EC_GROUP_set_generator(group, P, order, x)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (seed_len) {
if (!EC_GROUP_set_seed(group, params - seed_len, seed_len)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
}
#ifndef FIPS_MODULE
if (EC_GROUP_get_asn1_flag(group) == OPENSSL_EC_NAMED_CURVE) {
/*
* Some curves don't have an associated OID: for those we should not
* default to `OPENSSL_EC_NAMED_CURVE` encoding of parameters and
* instead set the ASN1 flag to `OPENSSL_EC_EXPLICIT_CURVE`.
*
* Note that `OPENSSL_EC_NAMED_CURVE` is set as the default ASN1 flag on
* `EC_GROUP_new()`, when we don't have enough elements to determine if
* an OID for the curve name actually exists.
* We could implement this check on `EC_GROUP_set_curve_name()` but
* overloading the simple setter with this lookup could have a negative
* performance impact and unexpected consequences.
*/
ASN1_OBJECT *asn1obj = OBJ_nid2obj(curve.nid);
if (asn1obj == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_OBJ_LIB);
goto err;
}
if (OBJ_length(asn1obj) == 0)
EC_GROUP_set_asn1_flag(group, OPENSSL_EC_EXPLICIT_CURVE);
ASN1_OBJECT_free(asn1obj);
}
#else
/*
* Inside the FIPS module we do not support explicit curves anyway
* so the above check is not necessary.
*
* Skipping it is also necessary because `OBJ_length()` and
* `ASN1_OBJECT_free()` are not available within the FIPS module
* boundaries.
*/
#endif
ok = 1;
err:
if (!ok) {
EC_GROUP_free(group);
group = NULL;
}
EC_POINT_free(P);
BN_CTX_free(ctx);
BN_free(p);
BN_free(a);
BN_free(b);
BN_free(order);
BN_free(x);
BN_free(y);
return group;
}
EC_GROUP *EC_GROUP_new_by_curve_name_ex(OSSL_LIB_CTX *libctx, const char *propq,
int nid)
{
EC_GROUP *ret = NULL;
const ec_list_element *curve;
if ((curve = ec_curve_nid2curve(nid)) == NULL
|| (ret = ec_group_new_from_data(libctx, propq, *curve)) == NULL) {
#ifndef FIPS_MODULE
ERR_raise_data(ERR_LIB_EC, EC_R_UNKNOWN_GROUP,
"name=%s", OBJ_nid2sn(nid));
#else
ERR_raise(ERR_LIB_EC, EC_R_UNKNOWN_GROUP);
#endif
return NULL;
}
return ret;
}
#ifndef FIPS_MODULE
EC_GROUP *EC_GROUP_new_by_curve_name(int nid)
{
return EC_GROUP_new_by_curve_name_ex(NULL, NULL, nid);
}
#endif
size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems)
{
size_t i, min;
if (r == NULL || nitems == 0)
return curve_list_length;
min = nitems < curve_list_length ? nitems : curve_list_length;
for (i = 0; i < min; i++) {
r[i].nid = curve_list[i].nid;
r[i].comment = curve_list[i].comment;
}
return curve_list_length;
}
const char *EC_curve_nid2nist(int nid)
{
return ossl_ec_curve_nid2nist_int(nid);
}
int EC_curve_nist2nid(const char *name)
{
return ossl_ec_curve_nist2nid_int(name);
}
#define NUM_BN_FIELDS 6
/*
* Validates EC domain parameter data for known named curves.
* This can be used when a curve is loaded explicitly (without a curve
* name) or to validate that domain parameters have not been modified.
*
* Returns: The nid associated with the found named curve, or NID_undef
* if not found. If there was an error it returns -1.
*/
int ossl_ec_curve_nid_from_params(const EC_GROUP *group, BN_CTX *ctx)
{
int ret = -1, nid, len, field_type, param_len;
size_t i, seed_len;
const unsigned char *seed, *params_seed, *params;
unsigned char *param_bytes = NULL;
const EC_CURVE_DATA *data;
const EC_POINT *generator = NULL;
const BIGNUM *cofactor = NULL;
/* An array of BIGNUMs for (p, a, b, x, y, order) */
BIGNUM *bn[NUM_BN_FIELDS] = {NULL, NULL, NULL, NULL, NULL, NULL};
/* Use the optional named curve nid as a search field */
nid = EC_GROUP_get_curve_name(group);
field_type = EC_GROUP_get_field_type(group);
seed_len = EC_GROUP_get_seed_len(group);
seed = EC_GROUP_get0_seed(group);
cofactor = EC_GROUP_get0_cofactor(group);
BN_CTX_start(ctx);
/*
* The built-in curves contains data fields (p, a, b, x, y, order) that are
* all zero-padded to be the same size. The size of the padding is
* determined by either the number of bytes in the field modulus (p) or the
* EC group order, whichever is larger.
*/
param_len = BN_num_bytes(group->order);
len = BN_num_bytes(group->field);
if (len > param_len)
param_len = len;
/* Allocate space to store the padded data for (p, a, b, x, y, order) */
param_bytes = OPENSSL_malloc(param_len * NUM_BN_FIELDS);
if (param_bytes == NULL)
goto end;
/* Create the bignums */
for (i = 0; i < NUM_BN_FIELDS; ++i) {
if ((bn[i] = BN_CTX_get(ctx)) == NULL)
goto end;
}
/*
* Fill in the bn array with the same values as the internal curves
* i.e. the values are p, a, b, x, y, order.
*/
/* Get p, a & b */
if (!(EC_GROUP_get_curve(group, bn[0], bn[1], bn[2], ctx)
&& ((generator = EC_GROUP_get0_generator(group)) != NULL)
/* Get x & y */
&& EC_POINT_get_affine_coordinates(group, generator, bn[3], bn[4], ctx)
/* Get order */
&& EC_GROUP_get_order(group, bn[5], ctx)))
goto end;
/*
* Convert the bignum array to bytes that are joined together to form
* a single buffer that contains data for all fields.
* (p, a, b, x, y, order) are all zero padded to be the same size.
*/
for (i = 0; i < NUM_BN_FIELDS; ++i) {
if (BN_bn2binpad(bn[i], ¶m_bytes[i*param_len], param_len) <= 0)
goto end;
}
for (i = 0; i < curve_list_length; i++) {
const ec_list_element curve = curve_list[i];
data = curve.data;
/* Get the raw order byte data */
params_seed = (const unsigned char *)(data + 1); /* skip header */
params = params_seed + data->seed_len;
/* Look for unique fields in the fixed curve data */
if (data->field_type == field_type
&& param_len == data->param_len
&& (nid <= 0 || nid == curve.nid)
/* check the optional cofactor (ignore if its zero) */
&& (BN_is_zero(cofactor)
|| BN_is_word(cofactor, (const BN_ULONG)curve.data->cofactor))
/* Check the optional seed (ignore if its not set) */
&& (data->seed_len == 0 || seed_len == 0
|| ((size_t)data->seed_len == seed_len
&& memcmp(params_seed, seed, seed_len) == 0))
/* Check that the groups params match the built-in curve params */
&& memcmp(param_bytes, params, param_len * NUM_BN_FIELDS)
== 0) {
ret = curve.nid;
goto end;
}
}
/* Gets here if the group was not found */
ret = NID_undef;
end:
OPENSSL_free(param_bytes);
BN_CTX_end(ctx);
return ret;
}
|
./openssl/crypto/ec/ec2_smpl.c | /*
* Copyright 2002-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low-level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <openssl/err.h>
#include "crypto/bn.h"
#include "ec_local.h"
#ifndef OPENSSL_NO_EC2M
/*
* Initialize a GF(2^m)-based EC_GROUP structure. Note that all other members
* are handled by EC_GROUP_new.
*/
int ossl_ec_GF2m_simple_group_init(EC_GROUP *group)
{
group->field = BN_new();
group->a = BN_new();
group->b = BN_new();
if (group->field == NULL || group->a == NULL || group->b == NULL) {
BN_free(group->field);
BN_free(group->a);
BN_free(group->b);
return 0;
}
return 1;
}
/*
* Free a GF(2^m)-based EC_GROUP structure. Note that all other members are
* handled by EC_GROUP_free.
*/
void ossl_ec_GF2m_simple_group_finish(EC_GROUP *group)
{
BN_free(group->field);
BN_free(group->a);
BN_free(group->b);
}
/*
* Clear and free a GF(2^m)-based EC_GROUP structure. Note that all other
* members are handled by EC_GROUP_clear_free.
*/
void ossl_ec_GF2m_simple_group_clear_finish(EC_GROUP *group)
{
BN_clear_free(group->field);
BN_clear_free(group->a);
BN_clear_free(group->b);
group->poly[0] = 0;
group->poly[1] = 0;
group->poly[2] = 0;
group->poly[3] = 0;
group->poly[4] = 0;
group->poly[5] = -1;
}
/*
* Copy a GF(2^m)-based EC_GROUP structure. Note that all other members are
* handled by EC_GROUP_copy.
*/
int ossl_ec_GF2m_simple_group_copy(EC_GROUP *dest, const EC_GROUP *src)
{
if (!BN_copy(dest->field, src->field))
return 0;
if (!BN_copy(dest->a, src->a))
return 0;
if (!BN_copy(dest->b, src->b))
return 0;
dest->poly[0] = src->poly[0];
dest->poly[1] = src->poly[1];
dest->poly[2] = src->poly[2];
dest->poly[3] = src->poly[3];
dest->poly[4] = src->poly[4];
dest->poly[5] = src->poly[5];
if (bn_wexpand(dest->a, (int)(dest->poly[0] + BN_BITS2 - 1) / BN_BITS2) ==
NULL)
return 0;
if (bn_wexpand(dest->b, (int)(dest->poly[0] + BN_BITS2 - 1) / BN_BITS2) ==
NULL)
return 0;
bn_set_all_zero(dest->a);
bn_set_all_zero(dest->b);
return 1;
}
/* Set the curve parameters of an EC_GROUP structure. */
int ossl_ec_GF2m_simple_group_set_curve(EC_GROUP *group,
const BIGNUM *p, const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx)
{
int ret = 0, i;
/* group->field */
if (!BN_copy(group->field, p))
goto err;
i = BN_GF2m_poly2arr(group->field, group->poly, 6) - 1;
if ((i != 5) && (i != 3)) {
ERR_raise(ERR_LIB_EC, EC_R_UNSUPPORTED_FIELD);
goto err;
}
/* group->a */
if (!BN_GF2m_mod_arr(group->a, a, group->poly))
goto err;
if (bn_wexpand(group->a, (int)(group->poly[0] + BN_BITS2 - 1) / BN_BITS2)
== NULL)
goto err;
bn_set_all_zero(group->a);
/* group->b */
if (!BN_GF2m_mod_arr(group->b, b, group->poly))
goto err;
if (bn_wexpand(group->b, (int)(group->poly[0] + BN_BITS2 - 1) / BN_BITS2)
== NULL)
goto err;
bn_set_all_zero(group->b);
ret = 1;
err:
return ret;
}
/*
* Get the curve parameters of an EC_GROUP structure. If p, a, or b are NULL
* then there values will not be set but the method will return with success.
*/
int ossl_ec_GF2m_simple_group_get_curve(const EC_GROUP *group, BIGNUM *p,
BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
{
int ret = 0;
if (p != NULL) {
if (!BN_copy(p, group->field))
return 0;
}
if (a != NULL) {
if (!BN_copy(a, group->a))
goto err;
}
if (b != NULL) {
if (!BN_copy(b, group->b))
goto err;
}
ret = 1;
err:
return ret;
}
/*
* Gets the degree of the field. For a curve over GF(2^m) this is the value
* m.
*/
int ossl_ec_GF2m_simple_group_get_degree(const EC_GROUP *group)
{
return BN_num_bits(group->field) - 1;
}
/*
* Checks the discriminant of the curve. y^2 + x*y = x^3 + a*x^2 + b is an
* elliptic curve <=> b != 0 (mod p)
*/
int ossl_ec_GF2m_simple_group_check_discriminant(const EC_GROUP *group,
BN_CTX *ctx)
{
int ret = 0;
BIGNUM *b;
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
}
#endif
BN_CTX_start(ctx);
b = BN_CTX_get(ctx);
if (b == NULL)
goto err;
if (!BN_GF2m_mod_arr(b, group->b, group->poly))
goto err;
/*
* check the discriminant: y^2 + x*y = x^3 + a*x^2 + b is an elliptic
* curve <=> b != 0 (mod p)
*/
if (BN_is_zero(b))
goto err;
ret = 1;
err:
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
return ret;
}
/* Initializes an EC_POINT. */
int ossl_ec_GF2m_simple_point_init(EC_POINT *point)
{
point->X = BN_new();
point->Y = BN_new();
point->Z = BN_new();
if (point->X == NULL || point->Y == NULL || point->Z == NULL) {
BN_free(point->X);
BN_free(point->Y);
BN_free(point->Z);
return 0;
}
return 1;
}
/* Frees an EC_POINT. */
void ossl_ec_GF2m_simple_point_finish(EC_POINT *point)
{
BN_free(point->X);
BN_free(point->Y);
BN_free(point->Z);
}
/* Clears and frees an EC_POINT. */
void ossl_ec_GF2m_simple_point_clear_finish(EC_POINT *point)
{
BN_clear_free(point->X);
BN_clear_free(point->Y);
BN_clear_free(point->Z);
point->Z_is_one = 0;
}
/*
* Copy the contents of one EC_POINT into another. Assumes dest is
* initialized.
*/
int ossl_ec_GF2m_simple_point_copy(EC_POINT *dest, const EC_POINT *src)
{
if (!BN_copy(dest->X, src->X))
return 0;
if (!BN_copy(dest->Y, src->Y))
return 0;
if (!BN_copy(dest->Z, src->Z))
return 0;
dest->Z_is_one = src->Z_is_one;
dest->curve_name = src->curve_name;
return 1;
}
/*
* Set an EC_POINT to the point at infinity. A point at infinity is
* represented by having Z=0.
*/
int ossl_ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *group,
EC_POINT *point)
{
point->Z_is_one = 0;
BN_zero(point->Z);
return 1;
}
/*
* Set the coordinates of an EC_POINT using affine coordinates. Note that
* the simple implementation only uses affine coordinates.
*/
int ossl_ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *group,
EC_POINT *point,
const BIGNUM *x,
const BIGNUM *y,
BN_CTX *ctx)
{
int ret = 0;
if (x == NULL || y == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if (!BN_copy(point->X, x))
goto err;
BN_set_negative(point->X, 0);
if (!BN_copy(point->Y, y))
goto err;
BN_set_negative(point->Y, 0);
if (!BN_copy(point->Z, BN_value_one()))
goto err;
BN_set_negative(point->Z, 0);
point->Z_is_one = 1;
ret = 1;
err:
return ret;
}
/*
* Gets the affine coordinates of an EC_POINT. Note that the simple
* implementation only uses affine coordinates.
*/
int ossl_ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *group,
const EC_POINT *point,
BIGNUM *x, BIGNUM *y,
BN_CTX *ctx)
{
int ret = 0;
if (EC_POINT_is_at_infinity(group, point)) {
ERR_raise(ERR_LIB_EC, EC_R_POINT_AT_INFINITY);
return 0;
}
if (BN_cmp(point->Z, BN_value_one())) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (x != NULL) {
if (!BN_copy(x, point->X))
goto err;
BN_set_negative(x, 0);
}
if (y != NULL) {
if (!BN_copy(y, point->Y))
goto err;
BN_set_negative(y, 0);
}
ret = 1;
err:
return ret;
}
/*
* Computes a + b and stores the result in r. r could be a or b, a could be
* b. Uses algorithm A.10.2 of IEEE P1363.
*/
int ossl_ec_GF2m_simple_add(const EC_GROUP *group, EC_POINT *r,
const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
{
BIGNUM *x0, *y0, *x1, *y1, *x2, *y2, *s, *t;
int ret = 0;
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
#endif
if (EC_POINT_is_at_infinity(group, a)) {
if (!EC_POINT_copy(r, b))
return 0;
return 1;
}
if (EC_POINT_is_at_infinity(group, b)) {
if (!EC_POINT_copy(r, a))
return 0;
return 1;
}
#ifndef FIPS_MODULE
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
}
#endif
BN_CTX_start(ctx);
x0 = BN_CTX_get(ctx);
y0 = BN_CTX_get(ctx);
x1 = BN_CTX_get(ctx);
y1 = BN_CTX_get(ctx);
x2 = BN_CTX_get(ctx);
y2 = BN_CTX_get(ctx);
s = BN_CTX_get(ctx);
t = BN_CTX_get(ctx);
if (t == NULL)
goto err;
if (a->Z_is_one) {
if (!BN_copy(x0, a->X))
goto err;
if (!BN_copy(y0, a->Y))
goto err;
} else {
if (!EC_POINT_get_affine_coordinates(group, a, x0, y0, ctx))
goto err;
}
if (b->Z_is_one) {
if (!BN_copy(x1, b->X))
goto err;
if (!BN_copy(y1, b->Y))
goto err;
} else {
if (!EC_POINT_get_affine_coordinates(group, b, x1, y1, ctx))
goto err;
}
if (BN_GF2m_cmp(x0, x1)) {
if (!BN_GF2m_add(t, x0, x1))
goto err;
if (!BN_GF2m_add(s, y0, y1))
goto err;
if (!group->meth->field_div(group, s, s, t, ctx))
goto err;
if (!group->meth->field_sqr(group, x2, s, ctx))
goto err;
if (!BN_GF2m_add(x2, x2, group->a))
goto err;
if (!BN_GF2m_add(x2, x2, s))
goto err;
if (!BN_GF2m_add(x2, x2, t))
goto err;
} else {
if (BN_GF2m_cmp(y0, y1) || BN_is_zero(x1)) {
if (!EC_POINT_set_to_infinity(group, r))
goto err;
ret = 1;
goto err;
}
if (!group->meth->field_div(group, s, y1, x1, ctx))
goto err;
if (!BN_GF2m_add(s, s, x1))
goto err;
if (!group->meth->field_sqr(group, x2, s, ctx))
goto err;
if (!BN_GF2m_add(x2, x2, s))
goto err;
if (!BN_GF2m_add(x2, x2, group->a))
goto err;
}
if (!BN_GF2m_add(y2, x1, x2))
goto err;
if (!group->meth->field_mul(group, y2, y2, s, ctx))
goto err;
if (!BN_GF2m_add(y2, y2, x2))
goto err;
if (!BN_GF2m_add(y2, y2, y1))
goto err;
if (!EC_POINT_set_affine_coordinates(group, r, x2, y2, ctx))
goto err;
ret = 1;
err:
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
return ret;
}
/*
* Computes 2 * a and stores the result in r. r could be a. Uses algorithm
* A.10.2 of IEEE P1363.
*/
int ossl_ec_GF2m_simple_dbl(const EC_GROUP *group, EC_POINT *r,
const EC_POINT *a, BN_CTX *ctx)
{
return ossl_ec_GF2m_simple_add(group, r, a, a, ctx);
}
int ossl_ec_GF2m_simple_invert(const EC_GROUP *group, EC_POINT *point,
BN_CTX *ctx)
{
if (EC_POINT_is_at_infinity(group, point) || BN_is_zero(point->Y))
/* point is its own inverse */
return 1;
if (group->meth->make_affine == NULL
|| !group->meth->make_affine(group, point, ctx))
return 0;
return BN_GF2m_add(point->Y, point->X, point->Y);
}
/* Indicates whether the given point is the point at infinity. */
int ossl_ec_GF2m_simple_is_at_infinity(const EC_GROUP *group,
const EC_POINT *point)
{
return BN_is_zero(point->Z);
}
/*-
* Determines whether the given EC_POINT is an actual point on the curve defined
* in the EC_GROUP. A point is valid if it satisfies the Weierstrass equation:
* y^2 + x*y = x^3 + a*x^2 + b.
*/
int ossl_ec_GF2m_simple_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
BN_CTX *ctx)
{
int ret = -1;
BIGNUM *lh, *y2;
int (*field_mul) (const EC_GROUP *, BIGNUM *, const BIGNUM *,
const BIGNUM *, BN_CTX *);
int (*field_sqr) (const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *);
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
#endif
if (EC_POINT_is_at_infinity(group, point))
return 1;
field_mul = group->meth->field_mul;
field_sqr = group->meth->field_sqr;
/* only support affine coordinates */
if (!point->Z_is_one)
return -1;
#ifndef FIPS_MODULE
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return -1;
}
#endif
BN_CTX_start(ctx);
y2 = BN_CTX_get(ctx);
lh = BN_CTX_get(ctx);
if (lh == NULL)
goto err;
/*-
* We have a curve defined by a Weierstrass equation
* y^2 + x*y = x^3 + a*x^2 + b.
* <=> x^3 + a*x^2 + x*y + b + y^2 = 0
* <=> ((x + a) * x + y) * x + b + y^2 = 0
*/
if (!BN_GF2m_add(lh, point->X, group->a))
goto err;
if (!field_mul(group, lh, lh, point->X, ctx))
goto err;
if (!BN_GF2m_add(lh, lh, point->Y))
goto err;
if (!field_mul(group, lh, lh, point->X, ctx))
goto err;
if (!BN_GF2m_add(lh, lh, group->b))
goto err;
if (!field_sqr(group, y2, point->Y, ctx))
goto err;
if (!BN_GF2m_add(lh, lh, y2))
goto err;
ret = BN_is_zero(lh);
err:
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
return ret;
}
/*-
* Indicates whether two points are equal.
* Return values:
* -1 error
* 0 equal (in affine coordinates)
* 1 not equal
*/
int ossl_ec_GF2m_simple_cmp(const EC_GROUP *group, const EC_POINT *a,
const EC_POINT *b, BN_CTX *ctx)
{
BIGNUM *aX, *aY, *bX, *bY;
int ret = -1;
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
#endif
if (EC_POINT_is_at_infinity(group, a)) {
return EC_POINT_is_at_infinity(group, b) ? 0 : 1;
}
if (EC_POINT_is_at_infinity(group, b))
return 1;
if (a->Z_is_one && b->Z_is_one) {
return ((BN_cmp(a->X, b->X) == 0) && BN_cmp(a->Y, b->Y) == 0) ? 0 : 1;
}
#ifndef FIPS_MODULE
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return -1;
}
#endif
BN_CTX_start(ctx);
aX = BN_CTX_get(ctx);
aY = BN_CTX_get(ctx);
bX = BN_CTX_get(ctx);
bY = BN_CTX_get(ctx);
if (bY == NULL)
goto err;
if (!EC_POINT_get_affine_coordinates(group, a, aX, aY, ctx))
goto err;
if (!EC_POINT_get_affine_coordinates(group, b, bX, bY, ctx))
goto err;
ret = ((BN_cmp(aX, bX) == 0) && BN_cmp(aY, bY) == 0) ? 0 : 1;
err:
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
return ret;
}
/* Forces the given EC_POINT to internally use affine coordinates. */
int ossl_ec_GF2m_simple_make_affine(const EC_GROUP *group, EC_POINT *point,
BN_CTX *ctx)
{
BIGNUM *x, *y;
int ret = 0;
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
#endif
if (point->Z_is_one || EC_POINT_is_at_infinity(group, point))
return 1;
#ifndef FIPS_MODULE
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
}
#endif
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
if (y == NULL)
goto err;
if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx))
goto err;
if (!BN_copy(point->X, x))
goto err;
if (!BN_copy(point->Y, y))
goto err;
if (!BN_one(point->Z))
goto err;
point->Z_is_one = 1;
ret = 1;
err:
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
return ret;
}
/*
* Forces each of the EC_POINTs in the given array to use affine coordinates.
*/
int ossl_ec_GF2m_simple_points_make_affine(const EC_GROUP *group, size_t num,
EC_POINT *points[], BN_CTX *ctx)
{
size_t i;
for (i = 0; i < num; i++) {
if (!group->meth->make_affine(group, points[i], ctx))
return 0;
}
return 1;
}
/* Wrapper to simple binary polynomial field multiplication implementation. */
int ossl_ec_GF2m_simple_field_mul(const EC_GROUP *group, BIGNUM *r,
const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
{
return BN_GF2m_mod_mul_arr(r, a, b, group->poly, ctx);
}
/* Wrapper to simple binary polynomial field squaring implementation. */
int ossl_ec_GF2m_simple_field_sqr(const EC_GROUP *group, BIGNUM *r,
const BIGNUM *a, BN_CTX *ctx)
{
return BN_GF2m_mod_sqr_arr(r, a, group->poly, ctx);
}
/* Wrapper to simple binary polynomial field division implementation. */
int ossl_ec_GF2m_simple_field_div(const EC_GROUP *group, BIGNUM *r,
const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
{
return BN_GF2m_mod_div(r, a, b, group->field, ctx);
}
/*-
* Lopez-Dahab ladder, pre step.
* See e.g. "Guide to ECC" Alg 3.40.
* Modified to blind s and r independently.
* s:= p, r := 2p
*/
static
int ec_GF2m_simple_ladder_pre(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx)
{
/* if p is not affine, something is wrong */
if (p->Z_is_one == 0)
return 0;
/* s blinding: make sure lambda (s->Z here) is not zero */
do {
if (!BN_priv_rand_ex(s->Z, BN_num_bits(group->field) - 1,
BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY, 0, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return 0;
}
} while (BN_is_zero(s->Z));
/* if field_encode defined convert between representations */
if ((group->meth->field_encode != NULL
&& !group->meth->field_encode(group, s->Z, s->Z, ctx))
|| !group->meth->field_mul(group, s->X, p->X, s->Z, ctx))
return 0;
/* r blinding: make sure lambda (r->Y here for storage) is not zero */
do {
if (!BN_priv_rand_ex(r->Y, BN_num_bits(group->field) - 1,
BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY, 0, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return 0;
}
} while (BN_is_zero(r->Y));
if ((group->meth->field_encode != NULL
&& !group->meth->field_encode(group, r->Y, r->Y, ctx))
|| !group->meth->field_sqr(group, r->Z, p->X, ctx)
|| !group->meth->field_sqr(group, r->X, r->Z, ctx)
|| !BN_GF2m_add(r->X, r->X, group->b)
|| !group->meth->field_mul(group, r->Z, r->Z, r->Y, ctx)
|| !group->meth->field_mul(group, r->X, r->X, r->Y, ctx))
return 0;
s->Z_is_one = 0;
r->Z_is_one = 0;
return 1;
}
/*-
* Ladder step: differential addition-and-doubling, mixed Lopez-Dahab coords.
* http://www.hyperelliptic.org/EFD/g12o/auto-code/shortw/xz/ladder/mladd-2003-s.op3
* s := r + s, r := 2r
*/
static
int ec_GF2m_simple_ladder_step(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx)
{
if (!group->meth->field_mul(group, r->Y, r->Z, s->X, ctx)
|| !group->meth->field_mul(group, s->X, r->X, s->Z, ctx)
|| !group->meth->field_sqr(group, s->Y, r->Z, ctx)
|| !group->meth->field_sqr(group, r->Z, r->X, ctx)
|| !BN_GF2m_add(s->Z, r->Y, s->X)
|| !group->meth->field_sqr(group, s->Z, s->Z, ctx)
|| !group->meth->field_mul(group, s->X, r->Y, s->X, ctx)
|| !group->meth->field_mul(group, r->Y, s->Z, p->X, ctx)
|| !BN_GF2m_add(s->X, s->X, r->Y)
|| !group->meth->field_sqr(group, r->Y, r->Z, ctx)
|| !group->meth->field_mul(group, r->Z, r->Z, s->Y, ctx)
|| !group->meth->field_sqr(group, s->Y, s->Y, ctx)
|| !group->meth->field_mul(group, s->Y, s->Y, group->b, ctx)
|| !BN_GF2m_add(r->X, r->Y, s->Y))
return 0;
return 1;
}
/*-
* Recover affine (x,y) result from Lopez-Dahab r and s, affine p.
* See e.g. "Fast Multiplication on Elliptic Curves over GF(2**m)
* without Precomputation" (Lopez and Dahab, CHES 1999),
* Appendix Alg Mxy.
*/
static
int ec_GF2m_simple_ladder_post(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx)
{
int ret = 0;
BIGNUM *t0, *t1, *t2 = NULL;
if (BN_is_zero(r->Z))
return EC_POINT_set_to_infinity(group, r);
if (BN_is_zero(s->Z)) {
if (!EC_POINT_copy(r, p)
|| !EC_POINT_invert(group, r, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
return 0;
}
return 1;
}
BN_CTX_start(ctx);
t0 = BN_CTX_get(ctx);
t1 = BN_CTX_get(ctx);
t2 = BN_CTX_get(ctx);
if (t2 == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if (!group->meth->field_mul(group, t0, r->Z, s->Z, ctx)
|| !group->meth->field_mul(group, t1, p->X, r->Z, ctx)
|| !BN_GF2m_add(t1, r->X, t1)
|| !group->meth->field_mul(group, t2, p->X, s->Z, ctx)
|| !group->meth->field_mul(group, r->Z, r->X, t2, ctx)
|| !BN_GF2m_add(t2, t2, s->X)
|| !group->meth->field_mul(group, t1, t1, t2, ctx)
|| !group->meth->field_sqr(group, t2, p->X, ctx)
|| !BN_GF2m_add(t2, p->Y, t2)
|| !group->meth->field_mul(group, t2, t2, t0, ctx)
|| !BN_GF2m_add(t1, t2, t1)
|| !group->meth->field_mul(group, t2, p->X, t0, ctx)
|| !group->meth->field_inv(group, t2, t2, ctx)
|| !group->meth->field_mul(group, t1, t1, t2, ctx)
|| !group->meth->field_mul(group, r->X, r->Z, t2, ctx)
|| !BN_GF2m_add(t2, p->X, r->X)
|| !group->meth->field_mul(group, t2, t2, t1, ctx)
|| !BN_GF2m_add(r->Y, p->Y, t2)
|| !BN_one(r->Z))
goto err;
r->Z_is_one = 1;
/* GF(2^m) field elements should always have BIGNUM::neg = 0 */
BN_set_negative(r->X, 0);
BN_set_negative(r->Y, 0);
ret = 1;
err:
BN_CTX_end(ctx);
return ret;
}
static
int ec_GF2m_simple_points_mul(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar, size_t num,
const EC_POINT *points[],
const BIGNUM *scalars[],
BN_CTX *ctx)
{
int ret = 0;
EC_POINT *t = NULL;
/*-
* We limit use of the ladder only to the following cases:
* - r := scalar * G
* Fixed point mul: scalar != NULL && num == 0;
* - r := scalars[0] * points[0]
* Variable point mul: scalar == NULL && num == 1;
* - r := scalar * G + scalars[0] * points[0]
* used, e.g., in ECDSA verification: scalar != NULL && num == 1
*
* In any other case (num > 1) we use the default wNAF implementation.
*
* We also let the default implementation handle degenerate cases like group
* order or cofactor set to 0.
*/
if (num > 1 || BN_is_zero(group->order) || BN_is_zero(group->cofactor))
return ossl_ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
if (scalar != NULL && num == 0)
/* Fixed point multiplication */
return ossl_ec_scalar_mul_ladder(group, r, scalar, NULL, ctx);
if (scalar == NULL && num == 1)
/* Variable point multiplication */
return ossl_ec_scalar_mul_ladder(group, r, scalars[0], points[0], ctx);
/*-
* Double point multiplication:
* r := scalar * G + scalars[0] * points[0]
*/
if ((t = EC_POINT_new(group)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
return 0;
}
if (!ossl_ec_scalar_mul_ladder(group, t, scalar, NULL, ctx)
|| !ossl_ec_scalar_mul_ladder(group, r, scalars[0], points[0], ctx)
|| !EC_POINT_add(group, r, t, r, ctx))
goto err;
ret = 1;
err:
EC_POINT_free(t);
return ret;
}
/*-
* Computes the multiplicative inverse of a in GF(2^m), storing the result in r.
* If a is zero (or equivalent), you'll get an EC_R_CANNOT_INVERT error.
* SCA hardening is with blinding: BN_GF2m_mod_inv does that.
*/
static int ec_GF2m_simple_field_inv(const EC_GROUP *group, BIGNUM *r,
const BIGNUM *a, BN_CTX *ctx)
{
int ret;
if (!(ret = BN_GF2m_mod_inv(r, a, group->field, ctx)))
ERR_raise(ERR_LIB_EC, EC_R_CANNOT_INVERT);
return ret;
}
const EC_METHOD *EC_GF2m_simple_method(void)
{
static const EC_METHOD ret = {
EC_FLAGS_DEFAULT_OCT,
NID_X9_62_characteristic_two_field,
ossl_ec_GF2m_simple_group_init,
ossl_ec_GF2m_simple_group_finish,
ossl_ec_GF2m_simple_group_clear_finish,
ossl_ec_GF2m_simple_group_copy,
ossl_ec_GF2m_simple_group_set_curve,
ossl_ec_GF2m_simple_group_get_curve,
ossl_ec_GF2m_simple_group_get_degree,
ossl_ec_group_simple_order_bits,
ossl_ec_GF2m_simple_group_check_discriminant,
ossl_ec_GF2m_simple_point_init,
ossl_ec_GF2m_simple_point_finish,
ossl_ec_GF2m_simple_point_clear_finish,
ossl_ec_GF2m_simple_point_copy,
ossl_ec_GF2m_simple_point_set_to_infinity,
ossl_ec_GF2m_simple_point_set_affine_coordinates,
ossl_ec_GF2m_simple_point_get_affine_coordinates,
0, /* point_set_compressed_coordinates */
0, /* point2oct */
0, /* oct2point */
ossl_ec_GF2m_simple_add,
ossl_ec_GF2m_simple_dbl,
ossl_ec_GF2m_simple_invert,
ossl_ec_GF2m_simple_is_at_infinity,
ossl_ec_GF2m_simple_is_on_curve,
ossl_ec_GF2m_simple_cmp,
ossl_ec_GF2m_simple_make_affine,
ossl_ec_GF2m_simple_points_make_affine,
ec_GF2m_simple_points_mul,
0, /* precompute_mult */
0, /* have_precompute_mult */
ossl_ec_GF2m_simple_field_mul,
ossl_ec_GF2m_simple_field_sqr,
ossl_ec_GF2m_simple_field_div,
ec_GF2m_simple_field_inv,
0, /* field_encode */
0, /* field_decode */
0, /* field_set_to_one */
ossl_ec_key_simple_priv2oct,
ossl_ec_key_simple_oct2priv,
0, /* set private */
ossl_ec_key_simple_generate_key,
ossl_ec_key_simple_check_key,
ossl_ec_key_simple_generate_public_key,
0, /* keycopy */
0, /* keyfinish */
ossl_ecdh_simple_compute_key,
ossl_ecdsa_simple_sign_setup,
ossl_ecdsa_simple_sign_sig,
ossl_ecdsa_simple_verify_sig,
0, /* field_inverse_mod_ord */
0, /* blind_coordinates */
ec_GF2m_simple_ladder_pre,
ec_GF2m_simple_ladder_step,
ec_GF2m_simple_ladder_post
};
return &ret;
}
#endif
|
./openssl/crypto/ec/ec_lib.c | /*
* Copyright 2001-2023 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* EC_GROUP low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <string.h>
#include <openssl/params.h>
#include <openssl/core_names.h>
#include <openssl/err.h>
#include <openssl/opensslv.h>
#include <openssl/param_build.h>
#include "crypto/ec.h"
#include "internal/nelem.h"
#include "ec_local.h"
/* functions for EC_GROUP objects */
EC_GROUP *ossl_ec_group_new_ex(OSSL_LIB_CTX *libctx, const char *propq,
const EC_METHOD *meth)
{
EC_GROUP *ret;
if (meth == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_SLOT_FULL);
return NULL;
}
if (meth->group_init == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return NULL;
}
ret = OPENSSL_zalloc(sizeof(*ret));
if (ret == NULL)
return NULL;
ret->libctx = libctx;
if (propq != NULL) {
ret->propq = OPENSSL_strdup(propq);
if (ret->propq == NULL)
goto err;
}
ret->meth = meth;
if ((ret->meth->flags & EC_FLAGS_CUSTOM_CURVE) == 0) {
ret->order = BN_new();
if (ret->order == NULL)
goto err;
ret->cofactor = BN_new();
if (ret->cofactor == NULL)
goto err;
}
ret->asn1_flag = OPENSSL_EC_EXPLICIT_CURVE;
ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED;
if (!meth->group_init(ret))
goto err;
return ret;
err:
BN_free(ret->order);
BN_free(ret->cofactor);
OPENSSL_free(ret->propq);
OPENSSL_free(ret);
return NULL;
}
#ifndef OPENSSL_NO_DEPRECATED_3_0
# ifndef FIPS_MODULE
EC_GROUP *EC_GROUP_new(const EC_METHOD *meth)
{
return ossl_ec_group_new_ex(NULL, NULL, meth);
}
# endif
#endif
void EC_pre_comp_free(EC_GROUP *group)
{
switch (group->pre_comp_type) {
case PCT_none:
break;
case PCT_nistz256:
#ifdef ECP_NISTZ256_ASM
EC_nistz256_pre_comp_free(group->pre_comp.nistz256);
#endif
break;
#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
case PCT_nistp224:
EC_nistp224_pre_comp_free(group->pre_comp.nistp224);
break;
case PCT_nistp256:
EC_nistp256_pre_comp_free(group->pre_comp.nistp256);
break;
case PCT_nistp384:
ossl_ec_nistp384_pre_comp_free(group->pre_comp.nistp384);
break;
case PCT_nistp521:
EC_nistp521_pre_comp_free(group->pre_comp.nistp521);
break;
#else
case PCT_nistp224:
case PCT_nistp256:
case PCT_nistp384:
case PCT_nistp521:
break;
#endif
case PCT_ec:
EC_ec_pre_comp_free(group->pre_comp.ec);
break;
}
group->pre_comp.ec = NULL;
}
void EC_GROUP_free(EC_GROUP *group)
{
if (!group)
return;
if (group->meth->group_finish != 0)
group->meth->group_finish(group);
EC_pre_comp_free(group);
BN_MONT_CTX_free(group->mont_data);
EC_POINT_free(group->generator);
BN_free(group->order);
BN_free(group->cofactor);
OPENSSL_free(group->seed);
OPENSSL_free(group->propq);
OPENSSL_free(group);
}
#ifndef OPENSSL_NO_DEPRECATED_3_0
void EC_GROUP_clear_free(EC_GROUP *group)
{
if (!group)
return;
if (group->meth->group_clear_finish != 0)
group->meth->group_clear_finish(group);
else if (group->meth->group_finish != 0)
group->meth->group_finish(group);
EC_pre_comp_free(group);
BN_MONT_CTX_free(group->mont_data);
EC_POINT_clear_free(group->generator);
BN_clear_free(group->order);
BN_clear_free(group->cofactor);
OPENSSL_clear_free(group->seed, group->seed_len);
OPENSSL_clear_free(group, sizeof(*group));
}
#endif
int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
{
if (dest->meth->group_copy == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (dest->meth != src->meth) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
if (dest == src)
return 1;
dest->libctx = src->libctx;
dest->curve_name = src->curve_name;
/* Copy precomputed */
dest->pre_comp_type = src->pre_comp_type;
switch (src->pre_comp_type) {
case PCT_none:
dest->pre_comp.ec = NULL;
break;
case PCT_nistz256:
#ifdef ECP_NISTZ256_ASM
dest->pre_comp.nistz256 = EC_nistz256_pre_comp_dup(src->pre_comp.nistz256);
#endif
break;
#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
case PCT_nistp224:
dest->pre_comp.nistp224 = EC_nistp224_pre_comp_dup(src->pre_comp.nistp224);
break;
case PCT_nistp256:
dest->pre_comp.nistp256 = EC_nistp256_pre_comp_dup(src->pre_comp.nistp256);
break;
case PCT_nistp384:
dest->pre_comp.nistp384 = ossl_ec_nistp384_pre_comp_dup(src->pre_comp.nistp384);
break;
case PCT_nistp521:
dest->pre_comp.nistp521 = EC_nistp521_pre_comp_dup(src->pre_comp.nistp521);
break;
#else
case PCT_nistp224:
case PCT_nistp256:
case PCT_nistp384:
case PCT_nistp521:
break;
#endif
case PCT_ec:
dest->pre_comp.ec = EC_ec_pre_comp_dup(src->pre_comp.ec);
break;
}
if (src->mont_data != NULL) {
if (dest->mont_data == NULL) {
dest->mont_data = BN_MONT_CTX_new();
if (dest->mont_data == NULL)
return 0;
}
if (!BN_MONT_CTX_copy(dest->mont_data, src->mont_data))
return 0;
} else {
/* src->generator == NULL */
BN_MONT_CTX_free(dest->mont_data);
dest->mont_data = NULL;
}
if (src->generator != NULL) {
if (dest->generator == NULL) {
dest->generator = EC_POINT_new(dest);
if (dest->generator == NULL)
return 0;
}
if (!EC_POINT_copy(dest->generator, src->generator))
return 0;
} else {
/* src->generator == NULL */
EC_POINT_clear_free(dest->generator);
dest->generator = NULL;
}
if ((src->meth->flags & EC_FLAGS_CUSTOM_CURVE) == 0) {
if (!BN_copy(dest->order, src->order))
return 0;
if (!BN_copy(dest->cofactor, src->cofactor))
return 0;
}
dest->asn1_flag = src->asn1_flag;
dest->asn1_form = src->asn1_form;
dest->decoded_from_explicit_params = src->decoded_from_explicit_params;
if (src->seed) {
OPENSSL_free(dest->seed);
if ((dest->seed = OPENSSL_malloc(src->seed_len)) == NULL)
return 0;
if (!memcpy(dest->seed, src->seed, src->seed_len))
return 0;
dest->seed_len = src->seed_len;
} else {
OPENSSL_free(dest->seed);
dest->seed = NULL;
dest->seed_len = 0;
}
return dest->meth->group_copy(dest, src);
}
EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
{
EC_GROUP *t = NULL;
int ok = 0;
if (a == NULL)
return NULL;
if ((t = ossl_ec_group_new_ex(a->libctx, a->propq, a->meth)) == NULL)
return NULL;
if (!EC_GROUP_copy(t, a))
goto err;
ok = 1;
err:
if (!ok) {
EC_GROUP_free(t);
return NULL;
}
return t;
}
#ifndef OPENSSL_NO_DEPRECATED_3_0
const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
{
return group->meth;
}
int EC_METHOD_get_field_type(const EC_METHOD *meth)
{
return meth->field_type;
}
#endif
static int ec_precompute_mont_data(EC_GROUP *);
/*-
* Try computing cofactor from the generator order (n) and field cardinality (q).
* This works for all curves of cryptographic interest.
*
* Hasse thm: q + 1 - 2*sqrt(q) <= n*h <= q + 1 + 2*sqrt(q)
* h_min = (q + 1 - 2*sqrt(q))/n
* h_max = (q + 1 + 2*sqrt(q))/n
* h_max - h_min = 4*sqrt(q)/n
* So if n > 4*sqrt(q) holds, there is only one possible value for h:
* h = \lfloor (h_min + h_max)/2 \rceil = \lfloor (q + 1)/n \rceil
*
* Otherwise, zero cofactor and return success.
*/
static int ec_guess_cofactor(EC_GROUP *group) {
int ret = 0;
BN_CTX *ctx = NULL;
BIGNUM *q = NULL;
/*-
* If the cofactor is too large, we cannot guess it.
* The RHS of below is a strict overestimate of lg(4 * sqrt(q))
*/
if (BN_num_bits(group->order) <= (BN_num_bits(group->field) + 1) / 2 + 3) {
/* default to 0 */
BN_zero(group->cofactor);
/* return success */
return 1;
}
if ((ctx = BN_CTX_new_ex(group->libctx)) == NULL)
return 0;
BN_CTX_start(ctx);
if ((q = BN_CTX_get(ctx)) == NULL)
goto err;
/* set q = 2**m for binary fields; q = p otherwise */
if (group->meth->field_type == NID_X9_62_characteristic_two_field) {
BN_zero(q);
if (!BN_set_bit(q, BN_num_bits(group->field) - 1))
goto err;
} else {
if (!BN_copy(q, group->field))
goto err;
}
/* compute h = \lfloor (q + 1)/n \rceil = \lfloor (q + 1 + n/2)/n \rfloor */
if (!BN_rshift1(group->cofactor, group->order) /* n/2 */
|| !BN_add(group->cofactor, group->cofactor, q) /* q + n/2 */
/* q + 1 + n/2 */
|| !BN_add(group->cofactor, group->cofactor, BN_value_one())
/* (q + 1 + n/2)/n */
|| !BN_div(group->cofactor, NULL, group->cofactor, group->order, ctx))
goto err;
ret = 1;
err:
BN_CTX_end(ctx);
BN_CTX_free(ctx);
return ret;
}
int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
const BIGNUM *order, const BIGNUM *cofactor)
{
if (generator == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
/* require group->field >= 1 */
if (group->field == NULL || BN_is_zero(group->field)
|| BN_is_negative(group->field)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_FIELD);
return 0;
}
/*-
* - require order >= 1
* - enforce upper bound due to Hasse thm: order can be no more than one bit
* longer than field cardinality
*/
if (order == NULL || BN_is_zero(order) || BN_is_negative(order)
|| BN_num_bits(order) > BN_num_bits(group->field) + 1) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_GROUP_ORDER);
return 0;
}
/*-
* Unfortunately the cofactor is an optional field in many standards.
* Internally, the lib uses 0 cofactor as a marker for "unknown cofactor".
* So accept cofactor == NULL or cofactor >= 0.
*/
if (cofactor != NULL && BN_is_negative(cofactor)) {
ERR_raise(ERR_LIB_EC, EC_R_UNKNOWN_COFACTOR);
return 0;
}
if (group->generator == NULL) {
group->generator = EC_POINT_new(group);
if (group->generator == NULL)
return 0;
}
if (!EC_POINT_copy(group->generator, generator))
return 0;
if (!BN_copy(group->order, order))
return 0;
/* Either take the provided positive cofactor, or try to compute it */
if (cofactor != NULL && !BN_is_zero(cofactor)) {
if (!BN_copy(group->cofactor, cofactor))
return 0;
} else if (!ec_guess_cofactor(group)) {
BN_zero(group->cofactor);
return 0;
}
/*
* Some groups have an order with
* factors of two, which makes the Montgomery setup fail.
* |group->mont_data| will be NULL in this case.
*/
if (BN_is_odd(group->order)) {
return ec_precompute_mont_data(group);
}
BN_MONT_CTX_free(group->mont_data);
group->mont_data = NULL;
return 1;
}
const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
{
return group->generator;
}
BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group)
{
return group->mont_data;
}
int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
{
if (group->order == NULL)
return 0;
if (!BN_copy(order, group->order))
return 0;
return !BN_is_zero(order);
}
const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group)
{
return group->order;
}
int EC_GROUP_order_bits(const EC_GROUP *group)
{
return group->meth->group_order_bits(group);
}
int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
BN_CTX *ctx)
{
if (group->cofactor == NULL)
return 0;
if (!BN_copy(cofactor, group->cofactor))
return 0;
return !BN_is_zero(group->cofactor);
}
const BIGNUM *EC_GROUP_get0_cofactor(const EC_GROUP *group)
{
return group->cofactor;
}
void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
{
group->curve_name = nid;
group->asn1_flag =
(nid != NID_undef)
? OPENSSL_EC_NAMED_CURVE
: OPENSSL_EC_EXPLICIT_CURVE;
}
int EC_GROUP_get_curve_name(const EC_GROUP *group)
{
return group->curve_name;
}
const BIGNUM *EC_GROUP_get0_field(const EC_GROUP *group)
{
return group->field;
}
int EC_GROUP_get_field_type(const EC_GROUP *group)
{
return group->meth->field_type;
}
void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
{
group->asn1_flag = flag;
}
int EC_GROUP_get_asn1_flag(const EC_GROUP *group)
{
return group->asn1_flag;
}
void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
point_conversion_form_t form)
{
group->asn1_form = form;
}
point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP
*group)
{
return group->asn1_form;
}
size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len)
{
OPENSSL_free(group->seed);
group->seed = NULL;
group->seed_len = 0;
if (!len || !p)
return 1;
if ((group->seed = OPENSSL_malloc(len)) == NULL)
return 0;
memcpy(group->seed, p, len);
group->seed_len = len;
return len;
}
unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group)
{
return group->seed;
}
size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
{
return group->seed_len;
}
int EC_GROUP_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx)
{
if (group->meth->group_set_curve == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
return group->meth->group_set_curve(group, p, a, b, ctx);
}
int EC_GROUP_get_curve(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b,
BN_CTX *ctx)
{
if (group->meth->group_get_curve == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
return group->meth->group_get_curve(group, p, a, b, ctx);
}
#ifndef OPENSSL_NO_DEPRECATED_3_0
int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx)
{
return EC_GROUP_set_curve(group, p, a, b, ctx);
}
int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
BIGNUM *b, BN_CTX *ctx)
{
return EC_GROUP_get_curve(group, p, a, b, ctx);
}
# ifndef OPENSSL_NO_EC2M
int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx)
{
return EC_GROUP_set_curve(group, p, a, b, ctx);
}
int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
BIGNUM *b, BN_CTX *ctx)
{
return EC_GROUP_get_curve(group, p, a, b, ctx);
}
# endif
#endif
int EC_GROUP_get_degree(const EC_GROUP *group)
{
if (group->meth->group_get_degree == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
return group->meth->group_get_degree(group);
}
int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
{
if (group->meth->group_check_discriminant == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
return group->meth->group_check_discriminant(group, ctx);
}
int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
{
int r = 0;
BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
#ifndef FIPS_MODULE
BN_CTX *ctx_new = NULL;
#endif
/* compare the field types */
if (EC_GROUP_get_field_type(a) != EC_GROUP_get_field_type(b))
return 1;
/* compare the curve name (if present in both) */
if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
return 1;
if (a->meth->flags & EC_FLAGS_CUSTOM_CURVE)
return 0;
#ifndef FIPS_MODULE
if (ctx == NULL)
ctx_new = ctx = BN_CTX_new();
#endif
if (ctx == NULL)
return -1;
BN_CTX_start(ctx);
a1 = BN_CTX_get(ctx);
a2 = BN_CTX_get(ctx);
a3 = BN_CTX_get(ctx);
b1 = BN_CTX_get(ctx);
b2 = BN_CTX_get(ctx);
b3 = BN_CTX_get(ctx);
if (b3 == NULL) {
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(ctx_new);
#endif
return -1;
}
/*
* XXX This approach assumes that the external representation of curves
* over the same field type is the same.
*/
if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
!b->meth->group_get_curve(b, b1, b2, b3, ctx))
r = 1;
/* return 1 if the curve parameters are different */
if (r || BN_cmp(a1, b1) != 0 || BN_cmp(a2, b2) != 0 || BN_cmp(a3, b3) != 0)
r = 1;
/* XXX EC_POINT_cmp() assumes that the methods are equal */
/* return 1 if the generators are different */
if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
EC_GROUP_get0_generator(b), ctx) != 0)
r = 1;
if (!r) {
const BIGNUM *ao, *bo, *ac, *bc;
/* compare the orders */
ao = EC_GROUP_get0_order(a);
bo = EC_GROUP_get0_order(b);
if (ao == NULL || bo == NULL) {
/* return an error if either order is NULL */
r = -1;
goto end;
}
if (BN_cmp(ao, bo) != 0) {
/* return 1 if orders are different */
r = 1;
goto end;
}
/*
* It gets here if the curve parameters and generator matched.
* Now check the optional cofactors (if both are present).
*/
ac = EC_GROUP_get0_cofactor(a);
bc = EC_GROUP_get0_cofactor(b);
/* Returns 1 (mismatch) if both cofactors are specified and different */
if (!BN_is_zero(ac) && !BN_is_zero(bc) && BN_cmp(ac, bc) != 0)
r = 1;
/* Returns 0 if the parameters matched */
}
end:
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(ctx_new);
#endif
return r;
}
/* functions for EC_POINT objects */
EC_POINT *EC_POINT_new(const EC_GROUP *group)
{
EC_POINT *ret;
if (group == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return NULL;
}
if (group->meth->point_init == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return NULL;
}
ret = OPENSSL_zalloc(sizeof(*ret));
if (ret == NULL)
return NULL;
ret->meth = group->meth;
ret->curve_name = group->curve_name;
if (!ret->meth->point_init(ret)) {
OPENSSL_free(ret);
return NULL;
}
return ret;
}
void EC_POINT_free(EC_POINT *point)
{
if (point == NULL)
return;
if (point->meth->point_finish != 0)
point->meth->point_finish(point);
OPENSSL_free(point);
}
void EC_POINT_clear_free(EC_POINT *point)
{
if (point == NULL)
return;
if (point->meth->point_clear_finish != 0)
point->meth->point_clear_finish(point);
else if (point->meth->point_finish != 0)
point->meth->point_finish(point);
OPENSSL_clear_free(point, sizeof(*point));
}
int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
{
if (dest->meth->point_copy == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (dest->meth != src->meth
|| (dest->curve_name != src->curve_name
&& dest->curve_name != 0
&& src->curve_name != 0)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
if (dest == src)
return 1;
return dest->meth->point_copy(dest, src);
}
EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
{
EC_POINT *t;
int r;
if (a == NULL)
return NULL;
t = EC_POINT_new(group);
if (t == NULL)
return NULL;
r = EC_POINT_copy(t, a);
if (!r) {
EC_POINT_free(t);
return NULL;
}
return t;
}
#ifndef OPENSSL_NO_DEPRECATED_3_0
const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
{
return point->meth;
}
#endif
int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
{
if (group->meth->point_set_to_infinity == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (group->meth != point->meth) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->point_set_to_infinity(group, point);
}
#ifndef OPENSSL_NO_DEPRECATED_3_0
int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
EC_POINT *point, const BIGNUM *x,
const BIGNUM *y, const BIGNUM *z,
BN_CTX *ctx)
{
if (group->meth->field_type != NID_X9_62_prime_field) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (!ec_point_is_compat(point, group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return ossl_ec_GFp_simple_set_Jprojective_coordinates_GFp(group, point,
x, y, z, ctx);
}
int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
const EC_POINT *point, BIGNUM *x,
BIGNUM *y, BIGNUM *z,
BN_CTX *ctx)
{
if (group->meth->field_type != NID_X9_62_prime_field) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (!ec_point_is_compat(point, group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return ossl_ec_GFp_simple_get_Jprojective_coordinates_GFp(group, point,
x, y, z, ctx);
}
#endif
int EC_POINT_set_affine_coordinates(const EC_GROUP *group, EC_POINT *point,
const BIGNUM *x, const BIGNUM *y,
BN_CTX *ctx)
{
if (group->meth->point_set_affine_coordinates == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (!ec_point_is_compat(point, group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
if (!group->meth->point_set_affine_coordinates(group, point, x, y, ctx))
return 0;
if (EC_POINT_is_on_curve(group, point, ctx) <= 0) {
ERR_raise(ERR_LIB_EC, EC_R_POINT_IS_NOT_ON_CURVE);
return 0;
}
return 1;
}
#ifndef OPENSSL_NO_DEPRECATED_3_0
int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
EC_POINT *point, const BIGNUM *x,
const BIGNUM *y, BN_CTX *ctx)
{
return EC_POINT_set_affine_coordinates(group, point, x, y, ctx);
}
# ifndef OPENSSL_NO_EC2M
int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group,
EC_POINT *point, const BIGNUM *x,
const BIGNUM *y, BN_CTX *ctx)
{
return EC_POINT_set_affine_coordinates(group, point, x, y, ctx);
}
# endif
#endif
int EC_POINT_get_affine_coordinates(const EC_GROUP *group,
const EC_POINT *point, BIGNUM *x, BIGNUM *y,
BN_CTX *ctx)
{
if (group->meth->point_get_affine_coordinates == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (!ec_point_is_compat(point, group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
if (EC_POINT_is_at_infinity(group, point)) {
ERR_raise(ERR_LIB_EC, EC_R_POINT_AT_INFINITY);
return 0;
}
return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
}
#ifndef OPENSSL_NO_DEPRECATED_3_0
int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
const EC_POINT *point, BIGNUM *x,
BIGNUM *y, BN_CTX *ctx)
{
return EC_POINT_get_affine_coordinates(group, point, x, y, ctx);
}
# ifndef OPENSSL_NO_EC2M
int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
const EC_POINT *point, BIGNUM *x,
BIGNUM *y, BN_CTX *ctx)
{
return EC_POINT_get_affine_coordinates(group, point, x, y, ctx);
}
# endif
#endif
int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
const EC_POINT *b, BN_CTX *ctx)
{
if (group->meth->add == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (!ec_point_is_compat(r, group) || !ec_point_is_compat(a, group)
|| !ec_point_is_compat(b, group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->add(group, r, a, b, ctx);
}
int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
BN_CTX *ctx)
{
if (group->meth->dbl == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (!ec_point_is_compat(r, group) || !ec_point_is_compat(a, group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->dbl(group, r, a, ctx);
}
int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
{
if (group->meth->invert == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (!ec_point_is_compat(a, group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->invert(group, a, ctx);
}
int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
{
if (group->meth->is_at_infinity == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (!ec_point_is_compat(point, group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->is_at_infinity(group, point);
}
/*
* Check whether an EC_POINT is on the curve or not. Note that the return
* value for this function should NOT be treated as a boolean. Return values:
* 1: The point is on the curve
* 0: The point is not on the curve
* -1: An error occurred
*/
int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
BN_CTX *ctx)
{
if (group->meth->is_on_curve == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (!ec_point_is_compat(point, group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->is_on_curve(group, point, ctx);
}
int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
BN_CTX *ctx)
{
if (group->meth->point_cmp == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return -1;
}
if (!ec_point_is_compat(a, group) || !ec_point_is_compat(b, group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return -1;
}
return group->meth->point_cmp(group, a, b, ctx);
}
#ifndef OPENSSL_NO_DEPRECATED_3_0
int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
{
if (group->meth->make_affine == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (!ec_point_is_compat(point, group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->make_affine(group, point, ctx);
}
int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
EC_POINT *points[], BN_CTX *ctx)
{
size_t i;
if (group->meth->points_make_affine == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
for (i = 0; i < num; i++) {
if (!ec_point_is_compat(points[i], group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
}
return group->meth->points_make_affine(group, num, points, ctx);
}
#endif
/*
* Functions for point multiplication. If group->meth->mul is 0, we use the
* wNAF-based implementations in ec_mult.c; otherwise we dispatch through
* methods.
*/
#ifndef OPENSSL_NO_DEPRECATED_3_0
int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
size_t num, const EC_POINT *points[],
const BIGNUM *scalars[], BN_CTX *ctx)
{
int ret = 0;
size_t i = 0;
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
#endif
if (!ec_point_is_compat(r, group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
if (scalar == NULL && num == 0)
return EC_POINT_set_to_infinity(group, r);
for (i = 0; i < num; i++) {
if (!ec_point_is_compat(points[i], group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
}
#ifndef FIPS_MODULE
if (ctx == NULL)
ctx = new_ctx = BN_CTX_secure_new();
#endif
if (ctx == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
return 0;
}
if (group->meth->mul != NULL)
ret = group->meth->mul(group, r, scalar, num, points, scalars, ctx);
else
/* use default */
ret = ossl_ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
return ret;
}
#endif
int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
{
int ret = 0;
size_t num;
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
#endif
if (!ec_point_is_compat(r, group)
|| (point != NULL && !ec_point_is_compat(point, group))) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
if (g_scalar == NULL && p_scalar == NULL)
return EC_POINT_set_to_infinity(group, r);
#ifndef FIPS_MODULE
if (ctx == NULL)
ctx = new_ctx = BN_CTX_secure_new();
#endif
if (ctx == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
return 0;
}
num = (point != NULL && p_scalar != NULL) ? 1 : 0;
if (group->meth->mul != NULL)
ret = group->meth->mul(group, r, g_scalar, num, &point, &p_scalar, ctx);
else
/* use default */
ret = ossl_ec_wNAF_mul(group, r, g_scalar, num, &point, &p_scalar, ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
return ret;
}
#ifndef OPENSSL_NO_DEPRECATED_3_0
int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
{
if (group->meth->mul == 0)
/* use default */
return ossl_ec_wNAF_precompute_mult(group, ctx);
if (group->meth->precompute_mult != 0)
return group->meth->precompute_mult(group, ctx);
else
return 1; /* nothing to do, so report success */
}
int EC_GROUP_have_precompute_mult(const EC_GROUP *group)
{
if (group->meth->mul == 0)
/* use default */
return ossl_ec_wNAF_have_precompute_mult(group);
if (group->meth->have_precompute_mult != 0)
return group->meth->have_precompute_mult(group);
else
return 0; /* cannot tell whether precomputation has
* been performed */
}
#endif
/*
* ec_precompute_mont_data sets |group->mont_data| from |group->order| and
* returns one on success. On error it returns zero.
*/
static int ec_precompute_mont_data(EC_GROUP *group)
{
BN_CTX *ctx = BN_CTX_new_ex(group->libctx);
int ret = 0;
BN_MONT_CTX_free(group->mont_data);
group->mont_data = NULL;
if (ctx == NULL)
goto err;
group->mont_data = BN_MONT_CTX_new();
if (group->mont_data == NULL)
goto err;
if (!BN_MONT_CTX_set(group->mont_data, group->order, ctx)) {
BN_MONT_CTX_free(group->mont_data);
group->mont_data = NULL;
goto err;
}
ret = 1;
err:
BN_CTX_free(ctx);
return ret;
}
#ifndef FIPS_MODULE
int EC_KEY_set_ex_data(EC_KEY *key, int idx, void *arg)
{
return CRYPTO_set_ex_data(&key->ex_data, idx, arg);
}
void *EC_KEY_get_ex_data(const EC_KEY *key, int idx)
{
return CRYPTO_get_ex_data(&key->ex_data, idx);
}
#endif
int ossl_ec_group_simple_order_bits(const EC_GROUP *group)
{
if (group->order == NULL)
return 0;
return BN_num_bits(group->order);
}
static int ec_field_inverse_mod_ord(const EC_GROUP *group, BIGNUM *r,
const BIGNUM *x, BN_CTX *ctx)
{
BIGNUM *e = NULL;
int ret = 0;
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
#endif
if (group->mont_data == NULL)
return 0;
#ifndef FIPS_MODULE
if (ctx == NULL)
ctx = new_ctx = BN_CTX_secure_new();
#endif
if (ctx == NULL)
return 0;
BN_CTX_start(ctx);
if ((e = BN_CTX_get(ctx)) == NULL)
goto err;
/*-
* We want inverse in constant time, therefore we utilize the fact
* order must be prime and use Fermats Little Theorem instead.
*/
if (!BN_set_word(e, 2))
goto err;
if (!BN_sub(e, group->order, e))
goto err;
/*-
* Exponent e is public.
* No need for scatter-gather or BN_FLG_CONSTTIME.
*/
if (!BN_mod_exp_mont(r, x, e, group->order, ctx, group->mont_data))
goto err;
ret = 1;
err:
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
return ret;
}
/*-
* Default behavior, if group->meth->field_inverse_mod_ord is NULL:
* - When group->order is even, this function returns an error.
* - When group->order is otherwise composite, the correctness
* of the output is not guaranteed.
* - When x is outside the range [1, group->order), the correctness
* of the output is not guaranteed.
* - Otherwise, this function returns the multiplicative inverse in the
* range [1, group->order).
*
* EC_METHODs must implement their own field_inverse_mod_ord for
* other functionality.
*/
int ossl_ec_group_do_inverse_ord(const EC_GROUP *group, BIGNUM *res,
const BIGNUM *x, BN_CTX *ctx)
{
if (group->meth->field_inverse_mod_ord != NULL)
return group->meth->field_inverse_mod_ord(group, res, x, ctx);
else
return ec_field_inverse_mod_ord(group, res, x, ctx);
}
/*-
* Coordinate blinding for EC_POINT.
*
* The underlying EC_METHOD can optionally implement this function:
* underlying implementations should return 0 on errors, or 1 on
* success.
*
* This wrapper returns 1 in case the underlying EC_METHOD does not
* support coordinate blinding.
*/
int ossl_ec_point_blind_coordinates(const EC_GROUP *group, EC_POINT *p,
BN_CTX *ctx)
{
if (group->meth->blind_coordinates == NULL)
return 1; /* ignore if not implemented */
return group->meth->blind_coordinates(group, p, ctx);
}
int EC_GROUP_get_basis_type(const EC_GROUP *group)
{
int i;
if (EC_GROUP_get_field_type(group) != NID_X9_62_characteristic_two_field)
/* everything else is currently not supported */
return 0;
/* Find the last non-zero element of group->poly[] */
for (i = 0;
i < (int)OSSL_NELEM(group->poly) && group->poly[i] != 0;
i++)
continue;
if (i == 4)
return NID_X9_62_ppBasis;
else if (i == 2)
return NID_X9_62_tpBasis;
else
/* everything else is currently not supported */
return 0;
}
#ifndef OPENSSL_NO_EC2M
int EC_GROUP_get_trinomial_basis(const EC_GROUP *group, unsigned int *k)
{
if (group == NULL)
return 0;
if (EC_GROUP_get_field_type(group) != NID_X9_62_characteristic_two_field
|| !((group->poly[0] != 0) && (group->poly[1] != 0)
&& (group->poly[2] == 0))) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (k)
*k = group->poly[1];
return 1;
}
int EC_GROUP_get_pentanomial_basis(const EC_GROUP *group, unsigned int *k1,
unsigned int *k2, unsigned int *k3)
{
if (group == NULL)
return 0;
if (EC_GROUP_get_field_type(group) != NID_X9_62_characteristic_two_field
|| !((group->poly[0] != 0) && (group->poly[1] != 0)
&& (group->poly[2] != 0) && (group->poly[3] != 0)
&& (group->poly[4] == 0))) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (k1)
*k1 = group->poly[3];
if (k2)
*k2 = group->poly[2];
if (k3)
*k3 = group->poly[1];
return 1;
}
#endif
#ifndef FIPS_MODULE
/*
* Check if the explicit parameters group matches any built-in curves.
*
* We create a copy of the group just built, so that we can remove optional
* fields for the lookup: we do this to avoid the possibility that one of
* the optional parameters is used to force the library into using a less
* performant and less secure EC_METHOD instead of the specialized one.
* In any case, `seed` is not really used in any computation, while a
* cofactor different from the one in the built-in table is just
* mathematically wrong anyway and should not be used.
*/
static EC_GROUP *ec_group_explicit_to_named(const EC_GROUP *group,
OSSL_LIB_CTX *libctx,
const char *propq,
BN_CTX *ctx)
{
EC_GROUP *ret_group = NULL, *dup = NULL;
int curve_name_nid;
const EC_POINT *point = EC_GROUP_get0_generator(group);
const BIGNUM *order = EC_GROUP_get0_order(group);
int no_seed = (EC_GROUP_get0_seed(group) == NULL);
if ((dup = EC_GROUP_dup(group)) == NULL
|| EC_GROUP_set_seed(dup, NULL, 0) != 1
|| !EC_GROUP_set_generator(dup, point, order, NULL))
goto err;
if ((curve_name_nid = ossl_ec_curve_nid_from_params(dup, ctx)) != NID_undef) {
/*
* The input explicit parameters successfully matched one of the
* built-in curves: often for built-in curves we have specialized
* methods with better performance and hardening.
*
* In this case we replace the `EC_GROUP` created through explicit
* parameters with one created from a named group.
*/
# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
/*
* NID_wap_wsg_idm_ecid_wtls12 and NID_secp224r1 are both aliases for
* the same curve, we prefer the SECP nid when matching explicit
* parameters as that is associated with a specialized EC_METHOD.
*/
if (curve_name_nid == NID_wap_wsg_idm_ecid_wtls12)
curve_name_nid = NID_secp224r1;
# endif /* !def(OPENSSL_NO_EC_NISTP_64_GCC_128) */
ret_group = EC_GROUP_new_by_curve_name_ex(libctx, propq, curve_name_nid);
if (ret_group == NULL)
goto err;
/*
* Set the flag so that EC_GROUPs created from explicit parameters are
* serialized using explicit parameters by default.
*/
EC_GROUP_set_asn1_flag(ret_group, OPENSSL_EC_EXPLICIT_CURVE);
/*
* If the input params do not contain the optional seed field we make
* sure it is not added to the returned group.
*
* The seed field is not really used inside libcrypto anyway, and
* adding it to parsed explicit parameter keys would alter their DER
* encoding output (because of the extra field) which could impact
* applications fingerprinting keys by their DER encoding.
*/
if (no_seed) {
if (EC_GROUP_set_seed(ret_group, NULL, 0) != 1)
goto err;
}
} else {
ret_group = (EC_GROUP *)group;
}
EC_GROUP_free(dup);
return ret_group;
err:
EC_GROUP_free(dup);
EC_GROUP_free(ret_group);
return NULL;
}
#endif /* FIPS_MODULE */
static EC_GROUP *group_new_from_name(const OSSL_PARAM *p,
OSSL_LIB_CTX *libctx, const char *propq)
{
int ok = 0, nid;
const char *curve_name = NULL;
switch (p->data_type) {
case OSSL_PARAM_UTF8_STRING:
/* The OSSL_PARAM functions have no support for this */
curve_name = p->data;
ok = (curve_name != NULL);
break;
case OSSL_PARAM_UTF8_PTR:
ok = OSSL_PARAM_get_utf8_ptr(p, &curve_name);
break;
}
if (ok) {
nid = ossl_ec_curve_name2nid(curve_name);
if (nid == NID_undef) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_CURVE);
return NULL;
} else {
return EC_GROUP_new_by_curve_name_ex(libctx, propq, nid);
}
}
return NULL;
}
/* These parameters can be set directly into an EC_GROUP */
int ossl_ec_group_set_params(EC_GROUP *group, const OSSL_PARAM params[])
{
int encoding_flag = -1, format = -1;
const OSSL_PARAM *p;
p = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_POINT_CONVERSION_FORMAT);
if (p != NULL) {
if (!ossl_ec_pt_format_param2id(p, &format)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_FORM);
return 0;
}
EC_GROUP_set_point_conversion_form(group, format);
}
p = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_ENCODING);
if (p != NULL) {
if (!ossl_ec_encoding_param2id(p, &encoding_flag)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_FORM);
return 0;
}
EC_GROUP_set_asn1_flag(group, encoding_flag);
}
/* Optional seed */
p = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_SEED);
if (p != NULL) {
/* The seed is allowed to be NULL */
if (p->data_type != OSSL_PARAM_OCTET_STRING
|| !EC_GROUP_set_seed(group, p->data, p->data_size)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_SEED);
return 0;
}
}
return 1;
}
EC_GROUP *EC_GROUP_new_from_params(const OSSL_PARAM params[],
OSSL_LIB_CTX *libctx, const char *propq)
{
const OSSL_PARAM *ptmp;
EC_GROUP *group = NULL;
#ifndef FIPS_MODULE
const OSSL_PARAM *pa, *pb;
int ok = 0;
EC_GROUP *named_group = NULL;
BIGNUM *p = NULL, *a = NULL, *b = NULL, *order = NULL, *cofactor = NULL;
EC_POINT *point = NULL;
int field_bits = 0;
int is_prime_field = 1;
BN_CTX *bnctx = NULL;
const unsigned char *buf = NULL;
int encoding_flag = -1;
#endif
/* This is the simple named group case */
ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_GROUP_NAME);
if (ptmp != NULL) {
int decoded = 0;
if ((group = group_new_from_name(ptmp, libctx, propq)) == NULL)
return NULL;
if (!ossl_ec_group_set_params(group, params)) {
EC_GROUP_free(group);
return NULL;
}
ptmp = OSSL_PARAM_locate_const(params,
OSSL_PKEY_PARAM_EC_DECODED_FROM_EXPLICIT_PARAMS);
if (ptmp != NULL && !OSSL_PARAM_get_int(ptmp, &decoded)) {
ERR_raise(ERR_LIB_EC, EC_R_WRONG_CURVE_PARAMETERS);
EC_GROUP_free(group);
return NULL;
}
group->decoded_from_explicit_params = decoded > 0;
return group;
}
#ifdef FIPS_MODULE
ERR_raise(ERR_LIB_EC, EC_R_EXPLICIT_PARAMS_NOT_SUPPORTED);
return NULL;
#else
/* If it gets here then we are trying explicit parameters */
bnctx = BN_CTX_new_ex(libctx);
if (bnctx == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return 0;
}
BN_CTX_start(bnctx);
p = BN_CTX_get(bnctx);
a = BN_CTX_get(bnctx);
b = BN_CTX_get(bnctx);
order = BN_CTX_get(bnctx);
if (order == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_FIELD_TYPE);
if (ptmp == NULL || ptmp->data_type != OSSL_PARAM_UTF8_STRING) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_FIELD);
goto err;
}
if (OPENSSL_strcasecmp(ptmp->data, SN_X9_62_prime_field) == 0) {
is_prime_field = 1;
} else if (OPENSSL_strcasecmp(ptmp->data,
SN_X9_62_characteristic_two_field) == 0) {
is_prime_field = 0;
} else {
/* Invalid field */
ERR_raise(ERR_LIB_EC, EC_R_UNSUPPORTED_FIELD);
goto err;
}
pa = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_A);
if (!OSSL_PARAM_get_BN(pa, &a)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_A);
goto err;
}
pb = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_B);
if (!OSSL_PARAM_get_BN(pb, &b)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_B);
goto err;
}
/* extract the prime number or irreducible polynomial */
ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_P);
if (!OSSL_PARAM_get_BN(ptmp, &p)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_P);
goto err;
}
if (is_prime_field) {
if (BN_is_negative(p) || BN_is_zero(p)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_P);
goto err;
}
field_bits = BN_num_bits(p);
if (field_bits > OPENSSL_ECC_MAX_FIELD_BITS) {
ERR_raise(ERR_LIB_EC, EC_R_FIELD_TOO_LARGE);
goto err;
}
/* create the EC_GROUP structure */
group = EC_GROUP_new_curve_GFp(p, a, b, bnctx);
} else {
# ifdef OPENSSL_NO_EC2M
ERR_raise(ERR_LIB_EC, EC_R_GF2M_NOT_SUPPORTED);
goto err;
# else
/* create the EC_GROUP structure */
group = EC_GROUP_new_curve_GF2m(p, a, b, NULL);
if (group != NULL) {
field_bits = EC_GROUP_get_degree(group);
if (field_bits > OPENSSL_ECC_MAX_FIELD_BITS) {
ERR_raise(ERR_LIB_EC, EC_R_FIELD_TOO_LARGE);
goto err;
}
}
# endif /* OPENSSL_NO_EC2M */
}
if (group == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
/* Optional seed */
ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_SEED);
if (ptmp != NULL) {
if (ptmp->data_type != OSSL_PARAM_OCTET_STRING) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_SEED);
goto err;
}
if (!EC_GROUP_set_seed(group, ptmp->data, ptmp->data_size))
goto err;
}
/* generator base point */
ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_GENERATOR);
if (ptmp == NULL
|| ptmp->data_type != OSSL_PARAM_OCTET_STRING) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_GENERATOR);
goto err;
}
buf = (const unsigned char *)(ptmp->data);
if ((point = EC_POINT_new(group)) == NULL)
goto err;
EC_GROUP_set_point_conversion_form(group,
(point_conversion_form_t)buf[0] & ~0x01);
if (!EC_POINT_oct2point(group, point, buf, ptmp->data_size, bnctx)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_GENERATOR);
goto err;
}
/* order */
ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_ORDER);
if (!OSSL_PARAM_get_BN(ptmp, &order)
|| (BN_is_negative(order) || BN_is_zero(order))
|| (BN_num_bits(order) > (int)field_bits + 1)) { /* Hasse bound */
ERR_raise(ERR_LIB_EC, EC_R_INVALID_GROUP_ORDER);
goto err;
}
/* Optional cofactor */
ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_COFACTOR);
if (ptmp != NULL) {
cofactor = BN_CTX_get(bnctx);
if (cofactor == NULL || !OSSL_PARAM_get_BN(ptmp, &cofactor)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_COFACTOR);
goto err;
}
}
/* set the generator, order and cofactor (if present) */
if (!EC_GROUP_set_generator(group, point, order, cofactor)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_GENERATOR);
goto err;
}
named_group = ec_group_explicit_to_named(group, libctx, propq, bnctx);
if (named_group == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_NAMED_GROUP_CONVERSION);
goto err;
}
if (named_group == group) {
/*
* If we did not find a named group then the encoding should be explicit
* if it was specified
*/
ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_ENCODING);
if (ptmp != NULL
&& !ossl_ec_encoding_param2id(ptmp, &encoding_flag)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
goto err;
}
if (encoding_flag == OPENSSL_EC_NAMED_CURVE) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
goto err;
}
EC_GROUP_set_asn1_flag(group, OPENSSL_EC_EXPLICIT_CURVE);
} else {
EC_GROUP_free(group);
group = named_group;
}
/* We've imported the group from explicit parameters, set it so. */
group->decoded_from_explicit_params = 1;
ok = 1;
err:
if (!ok) {
EC_GROUP_free(group);
group = NULL;
}
EC_POINT_free(point);
BN_CTX_end(bnctx);
BN_CTX_free(bnctx);
return group;
#endif /* FIPS_MODULE */
}
OSSL_PARAM *EC_GROUP_to_params(const EC_GROUP *group, OSSL_LIB_CTX *libctx,
const char *propq, BN_CTX *bnctx)
{
OSSL_PARAM_BLD *tmpl = NULL;
BN_CTX *new_bnctx = NULL;
unsigned char *gen_buf = NULL;
OSSL_PARAM *params = NULL;
if (group == NULL)
goto err;
tmpl = OSSL_PARAM_BLD_new();
if (tmpl == NULL)
goto err;
if (bnctx == NULL)
bnctx = new_bnctx = BN_CTX_new_ex(libctx);
if (bnctx == NULL)
goto err;
BN_CTX_start(bnctx);
if (!ossl_ec_group_todata(
group, tmpl, NULL, libctx, propq, bnctx, &gen_buf))
goto err;
params = OSSL_PARAM_BLD_to_param(tmpl);
err:
OSSL_PARAM_BLD_free(tmpl);
OPENSSL_free(gen_buf);
BN_CTX_end(bnctx);
BN_CTX_free(new_bnctx);
return params;
}
|
./openssl/crypto/ec/curve25519.c | /*
* Copyright 2016-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <string.h>
#include "crypto/ecx.h"
#include "ec_local.h"
#include <openssl/evp.h>
#include <openssl/sha.h>
#include "internal/numbers.h"
#if defined(X25519_ASM) && (defined(__x86_64) || defined(__x86_64__) || \
defined(_M_AMD64) || defined(_M_X64))
# define BASE_2_64_IMPLEMENTED
typedef uint64_t fe64[4];
int x25519_fe64_eligible(void);
/*
* Following subroutines perform corresponding operations modulo
* 2^256-38, i.e. double the curve modulus. However, inputs and
* outputs are permitted to be partially reduced, i.e. to remain
* in [0..2^256) range. It's all tied up in final fe64_tobytes
* that performs full reduction modulo 2^255-19.
*
* There are no reference C implementations for these.
*/
void x25519_fe64_mul(fe64 h, const fe64 f, const fe64 g);
void x25519_fe64_sqr(fe64 h, const fe64 f);
void x25519_fe64_mul121666(fe64 h, fe64 f);
void x25519_fe64_add(fe64 h, const fe64 f, const fe64 g);
void x25519_fe64_sub(fe64 h, const fe64 f, const fe64 g);
void x25519_fe64_tobytes(uint8_t *s, const fe64 f);
# define fe64_mul x25519_fe64_mul
# define fe64_sqr x25519_fe64_sqr
# define fe64_mul121666 x25519_fe64_mul121666
# define fe64_add x25519_fe64_add
# define fe64_sub x25519_fe64_sub
# define fe64_tobytes x25519_fe64_tobytes
static uint64_t load_8(const uint8_t *in)
{
uint64_t result;
result = in[0];
result |= ((uint64_t)in[1]) << 8;
result |= ((uint64_t)in[2]) << 16;
result |= ((uint64_t)in[3]) << 24;
result |= ((uint64_t)in[4]) << 32;
result |= ((uint64_t)in[5]) << 40;
result |= ((uint64_t)in[6]) << 48;
result |= ((uint64_t)in[7]) << 56;
return result;
}
static void fe64_frombytes(fe64 h, const uint8_t *s)
{
h[0] = load_8(s);
h[1] = load_8(s + 8);
h[2] = load_8(s + 16);
h[3] = load_8(s + 24) & 0x7fffffffffffffff;
}
static void fe64_0(fe64 h)
{
h[0] = 0;
h[1] = 0;
h[2] = 0;
h[3] = 0;
}
static void fe64_1(fe64 h)
{
h[0] = 1;
h[1] = 0;
h[2] = 0;
h[3] = 0;
}
static void fe64_copy(fe64 h, const fe64 f)
{
h[0] = f[0];
h[1] = f[1];
h[2] = f[2];
h[3] = f[3];
}
static void fe64_cswap(fe64 f, fe64 g, unsigned int b)
{
int i;
uint64_t mask = 0 - (uint64_t)b;
for (i = 0; i < 4; i++) {
uint64_t x = f[i] ^ g[i];
x &= mask;
f[i] ^= x;
g[i] ^= x;
}
}
static void fe64_invert(fe64 out, const fe64 z)
{
fe64 t0;
fe64 t1;
fe64 t2;
fe64 t3;
int i;
/*
* Compute z ** -1 = z ** (2 ** 255 - 19 - 2) with the exponent as
* 2 ** 255 - 21 = (2 ** 5) * (2 ** 250 - 1) + 11.
*/
/* t0 = z ** 2 */
fe64_sqr(t0, z);
/* t1 = t0 ** (2 ** 2) = z ** 8 */
fe64_sqr(t1, t0);
fe64_sqr(t1, t1);
/* t1 = z * t1 = z ** 9 */
fe64_mul(t1, z, t1);
/* t0 = t0 * t1 = z ** 11 -- stash t0 away for the end. */
fe64_mul(t0, t0, t1);
/* t2 = t0 ** 2 = z ** 22 */
fe64_sqr(t2, t0);
/* t1 = t1 * t2 = z ** (2 ** 5 - 1) */
fe64_mul(t1, t1, t2);
/* t2 = t1 ** (2 ** 5) = z ** ((2 ** 5) * (2 ** 5 - 1)) */
fe64_sqr(t2, t1);
for (i = 1; i < 5; ++i)
fe64_sqr(t2, t2);
/* t1 = t1 * t2 = z ** ((2 ** 5 + 1) * (2 ** 5 - 1)) = z ** (2 ** 10 - 1) */
fe64_mul(t1, t2, t1);
/* Continuing similarly... */
/* t2 = z ** (2 ** 20 - 1) */
fe64_sqr(t2, t1);
for (i = 1; i < 10; ++i)
fe64_sqr(t2, t2);
fe64_mul(t2, t2, t1);
/* t2 = z ** (2 ** 40 - 1) */
fe64_sqr(t3, t2);
for (i = 1; i < 20; ++i)
fe64_sqr(t3, t3);
fe64_mul(t2, t3, t2);
/* t2 = z ** (2 ** 10) * (2 ** 40 - 1) */
for (i = 0; i < 10; ++i)
fe64_sqr(t2, t2);
/* t1 = z ** (2 ** 50 - 1) */
fe64_mul(t1, t2, t1);
/* t2 = z ** (2 ** 100 - 1) */
fe64_sqr(t2, t1);
for (i = 1; i < 50; ++i)
fe64_sqr(t2, t2);
fe64_mul(t2, t2, t1);
/* t2 = z ** (2 ** 200 - 1) */
fe64_sqr(t3, t2);
for (i = 1; i < 100; ++i)
fe64_sqr(t3, t3);
fe64_mul(t2, t3, t2);
/* t2 = z ** ((2 ** 50) * (2 ** 200 - 1) */
for (i = 0; i < 50; ++i)
fe64_sqr(t2, t2);
/* t1 = z ** (2 ** 250 - 1) */
fe64_mul(t1, t2, t1);
/* t1 = z ** ((2 ** 5) * (2 ** 250 - 1)) */
for (i = 0; i < 5; ++i)
fe64_sqr(t1, t1);
/* Recall t0 = z ** 11; out = z ** (2 ** 255 - 21) */
fe64_mul(out, t1, t0);
}
/*
* Duplicate of original x25519_scalar_mult_generic, but using
* fe64_* subroutines.
*/
static void x25519_scalar_mulx(uint8_t out[32], const uint8_t scalar[32],
const uint8_t point[32])
{
fe64 x1, x2, z2, x3, z3, tmp0, tmp1;
uint8_t e[32];
unsigned swap = 0;
int pos;
memcpy(e, scalar, 32);
e[0] &= 0xf8;
e[31] &= 0x7f;
e[31] |= 0x40;
fe64_frombytes(x1, point);
fe64_1(x2);
fe64_0(z2);
fe64_copy(x3, x1);
fe64_1(z3);
for (pos = 254; pos >= 0; --pos) {
unsigned int b = 1 & (e[pos / 8] >> (pos & 7));
swap ^= b;
fe64_cswap(x2, x3, swap);
fe64_cswap(z2, z3, swap);
swap = b;
fe64_sub(tmp0, x3, z3);
fe64_sub(tmp1, x2, z2);
fe64_add(x2, x2, z2);
fe64_add(z2, x3, z3);
fe64_mul(z3, x2, tmp0);
fe64_mul(z2, z2, tmp1);
fe64_sqr(tmp0, tmp1);
fe64_sqr(tmp1, x2);
fe64_add(x3, z3, z2);
fe64_sub(z2, z3, z2);
fe64_mul(x2, tmp1, tmp0);
fe64_sub(tmp1, tmp1, tmp0);
fe64_sqr(z2, z2);
fe64_mul121666(z3, tmp1);
fe64_sqr(x3, x3);
fe64_add(tmp0, tmp0, z3);
fe64_mul(z3, x1, z2);
fe64_mul(z2, tmp1, tmp0);
}
fe64_invert(z2, z2);
fe64_mul(x2, x2, z2);
fe64_tobytes(out, x2);
OPENSSL_cleanse(e, sizeof(e));
}
#endif
#if defined(X25519_ASM) \
|| ( defined(INT128_MAX) \
&& !defined(__sparc__) \
&& (!defined(__SIZEOF_LONG__) || (__SIZEOF_LONG__ == 8)) \
&& !(defined(__ANDROID__) && !defined(__clang__)) )
/*
* Base 2^51 implementation. It's virtually no different from reference
* base 2^25.5 implementation in respect to lax boundary conditions for
* intermediate values and even individual limbs. So that whatever you
* know about the reference, applies even here...
*/
# define BASE_2_51_IMPLEMENTED
typedef uint64_t fe51[5];
static const uint64_t MASK51 = 0x7ffffffffffff;
static uint64_t load_7(const uint8_t *in)
{
uint64_t result;
result = in[0];
result |= ((uint64_t)in[1]) << 8;
result |= ((uint64_t)in[2]) << 16;
result |= ((uint64_t)in[3]) << 24;
result |= ((uint64_t)in[4]) << 32;
result |= ((uint64_t)in[5]) << 40;
result |= ((uint64_t)in[6]) << 48;
return result;
}
static uint64_t load_6(const uint8_t *in)
{
uint64_t result;
result = in[0];
result |= ((uint64_t)in[1]) << 8;
result |= ((uint64_t)in[2]) << 16;
result |= ((uint64_t)in[3]) << 24;
result |= ((uint64_t)in[4]) << 32;
result |= ((uint64_t)in[5]) << 40;
return result;
}
static void fe51_frombytes(fe51 h, const uint8_t *s)
{
uint64_t h0 = load_7(s); /* 56 bits */
uint64_t h1 = load_6(s + 7) << 5; /* 53 bits */
uint64_t h2 = load_7(s + 13) << 2; /* 58 bits */
uint64_t h3 = load_6(s + 20) << 7; /* 55 bits */
uint64_t h4 = (load_6(s + 26) & 0x7fffffffffff) << 4; /* 51 bits */
h1 |= h0 >> 51; h0 &= MASK51;
h2 |= h1 >> 51; h1 &= MASK51;
h3 |= h2 >> 51; h2 &= MASK51;
h4 |= h3 >> 51; h3 &= MASK51;
h[0] = h0;
h[1] = h1;
h[2] = h2;
h[3] = h3;
h[4] = h4;
}
static void fe51_tobytes(uint8_t *s, const fe51 h)
{
uint64_t h0 = h[0];
uint64_t h1 = h[1];
uint64_t h2 = h[2];
uint64_t h3 = h[3];
uint64_t h4 = h[4];
uint64_t q;
/* compare to modulus */
q = (h0 + 19) >> 51;
q = (h1 + q) >> 51;
q = (h2 + q) >> 51;
q = (h3 + q) >> 51;
q = (h4 + q) >> 51;
/* full reduce */
h0 += 19 * q;
h1 += h0 >> 51; h0 &= MASK51;
h2 += h1 >> 51; h1 &= MASK51;
h3 += h2 >> 51; h2 &= MASK51;
h4 += h3 >> 51; h3 &= MASK51;
h4 &= MASK51;
/* smash */
s[0] = (uint8_t)(h0 >> 0);
s[1] = (uint8_t)(h0 >> 8);
s[2] = (uint8_t)(h0 >> 16);
s[3] = (uint8_t)(h0 >> 24);
s[4] = (uint8_t)(h0 >> 32);
s[5] = (uint8_t)(h0 >> 40);
s[6] = (uint8_t)((h0 >> 48) | ((uint32_t)h1 << 3));
s[7] = (uint8_t)(h1 >> 5);
s[8] = (uint8_t)(h1 >> 13);
s[9] = (uint8_t)(h1 >> 21);
s[10] = (uint8_t)(h1 >> 29);
s[11] = (uint8_t)(h1 >> 37);
s[12] = (uint8_t)((h1 >> 45) | ((uint32_t)h2 << 6));
s[13] = (uint8_t)(h2 >> 2);
s[14] = (uint8_t)(h2 >> 10);
s[15] = (uint8_t)(h2 >> 18);
s[16] = (uint8_t)(h2 >> 26);
s[17] = (uint8_t)(h2 >> 34);
s[18] = (uint8_t)(h2 >> 42);
s[19] = (uint8_t)((h2 >> 50) | ((uint32_t)h3 << 1));
s[20] = (uint8_t)(h3 >> 7);
s[21] = (uint8_t)(h3 >> 15);
s[22] = (uint8_t)(h3 >> 23);
s[23] = (uint8_t)(h3 >> 31);
s[24] = (uint8_t)(h3 >> 39);
s[25] = (uint8_t)((h3 >> 47) | ((uint32_t)h4 << 4));
s[26] = (uint8_t)(h4 >> 4);
s[27] = (uint8_t)(h4 >> 12);
s[28] = (uint8_t)(h4 >> 20);
s[29] = (uint8_t)(h4 >> 28);
s[30] = (uint8_t)(h4 >> 36);
s[31] = (uint8_t)(h4 >> 44);
}
# if defined(X25519_ASM)
void x25519_fe51_mul(fe51 h, const fe51 f, const fe51 g);
void x25519_fe51_sqr(fe51 h, const fe51 f);
void x25519_fe51_mul121666(fe51 h, fe51 f);
# define fe51_mul x25519_fe51_mul
# define fe51_sq x25519_fe51_sqr
# define fe51_mul121666 x25519_fe51_mul121666
# else
typedef uint128_t u128;
static void fe51_mul(fe51 h, const fe51 f, const fe51 g)
{
u128 h0, h1, h2, h3, h4;
uint64_t f_i, g0, g1, g2, g3, g4;
f_i = f[0];
h0 = (u128)f_i * (g0 = g[0]);
h1 = (u128)f_i * (g1 = g[1]);
h2 = (u128)f_i * (g2 = g[2]);
h3 = (u128)f_i * (g3 = g[3]);
h4 = (u128)f_i * (g4 = g[4]);
f_i = f[1];
h0 += (u128)f_i * (g4 *= 19);
h1 += (u128)f_i * g0;
h2 += (u128)f_i * g1;
h3 += (u128)f_i * g2;
h4 += (u128)f_i * g3;
f_i = f[2];
h0 += (u128)f_i * (g3 *= 19);
h1 += (u128)f_i * g4;
h2 += (u128)f_i * g0;
h3 += (u128)f_i * g1;
h4 += (u128)f_i * g2;
f_i = f[3];
h0 += (u128)f_i * (g2 *= 19);
h1 += (u128)f_i * g3;
h2 += (u128)f_i * g4;
h3 += (u128)f_i * g0;
h4 += (u128)f_i * g1;
f_i = f[4];
h0 += (u128)f_i * (g1 *= 19);
h1 += (u128)f_i * g2;
h2 += (u128)f_i * g3;
h3 += (u128)f_i * g4;
h4 += (u128)f_i * g0;
/* partial [lazy] reduction */
h3 += (uint64_t)(h2 >> 51); g2 = (uint64_t)h2 & MASK51;
h1 += (uint64_t)(h0 >> 51); g0 = (uint64_t)h0 & MASK51;
h4 += (uint64_t)(h3 >> 51); g3 = (uint64_t)h3 & MASK51;
g2 += (uint64_t)(h1 >> 51); g1 = (uint64_t)h1 & MASK51;
g0 += (uint64_t)(h4 >> 51) * 19; g4 = (uint64_t)h4 & MASK51;
g3 += g2 >> 51; g2 &= MASK51;
g1 += g0 >> 51; g0 &= MASK51;
h[0] = g0;
h[1] = g1;
h[2] = g2;
h[3] = g3;
h[4] = g4;
}
static void fe51_sq(fe51 h, const fe51 f)
{
# if defined(OPENSSL_SMALL_FOOTPRINT)
fe51_mul(h, f, f);
# else
/* dedicated squaring gives 16-25% overall improvement */
uint64_t g0 = f[0];
uint64_t g1 = f[1];
uint64_t g2 = f[2];
uint64_t g3 = f[3];
uint64_t g4 = f[4];
u128 h0, h1, h2, h3, h4;
h0 = (u128)g0 * g0; g0 *= 2;
h1 = (u128)g0 * g1;
h2 = (u128)g0 * g2;
h3 = (u128)g0 * g3;
h4 = (u128)g0 * g4;
g0 = g4; /* borrow g0 */
h3 += (u128)g0 * (g4 *= 19);
h2 += (u128)g1 * g1; g1 *= 2;
h3 += (u128)g1 * g2;
h4 += (u128)g1 * g3;
h0 += (u128)g1 * g4;
g0 = g3; /* borrow g0 */
h1 += (u128)g0 * (g3 *= 19);
h2 += (u128)(g0 * 2) * g4;
h4 += (u128)g2 * g2; g2 *= 2;
h0 += (u128)g2 * g3;
h1 += (u128)g2 * g4;
/* partial [lazy] reduction */
h3 += (uint64_t)(h2 >> 51); g2 = (uint64_t)h2 & MASK51;
h1 += (uint64_t)(h0 >> 51); g0 = (uint64_t)h0 & MASK51;
h4 += (uint64_t)(h3 >> 51); g3 = (uint64_t)h3 & MASK51;
g2 += (uint64_t)(h1 >> 51); g1 = (uint64_t)h1 & MASK51;
g0 += (uint64_t)(h4 >> 51) * 19; g4 = (uint64_t)h4 & MASK51;
g3 += g2 >> 51; g2 &= MASK51;
g1 += g0 >> 51; g0 &= MASK51;
h[0] = g0;
h[1] = g1;
h[2] = g2;
h[3] = g3;
h[4] = g4;
# endif
}
static void fe51_mul121666(fe51 h, fe51 f)
{
u128 h0 = f[0] * (u128)121666;
u128 h1 = f[1] * (u128)121666;
u128 h2 = f[2] * (u128)121666;
u128 h3 = f[3] * (u128)121666;
u128 h4 = f[4] * (u128)121666;
uint64_t g0, g1, g2, g3, g4;
h3 += (uint64_t)(h2 >> 51); g2 = (uint64_t)h2 & MASK51;
h1 += (uint64_t)(h0 >> 51); g0 = (uint64_t)h0 & MASK51;
h4 += (uint64_t)(h3 >> 51); g3 = (uint64_t)h3 & MASK51;
g2 += (uint64_t)(h1 >> 51); g1 = (uint64_t)h1 & MASK51;
g0 += (uint64_t)(h4 >> 51) * 19; g4 = (uint64_t)h4 & MASK51;
g3 += g2 >> 51; g2 &= MASK51;
g1 += g0 >> 51; g0 &= MASK51;
h[0] = g0;
h[1] = g1;
h[2] = g2;
h[3] = g3;
h[4] = g4;
}
# endif
static void fe51_add(fe51 h, const fe51 f, const fe51 g)
{
h[0] = f[0] + g[0];
h[1] = f[1] + g[1];
h[2] = f[2] + g[2];
h[3] = f[3] + g[3];
h[4] = f[4] + g[4];
}
static void fe51_sub(fe51 h, const fe51 f, const fe51 g)
{
/*
* Add 2*modulus to ensure that result remains positive
* even if subtrahend is partially reduced.
*/
h[0] = (f[0] + 0xfffffffffffda) - g[0];
h[1] = (f[1] + 0xffffffffffffe) - g[1];
h[2] = (f[2] + 0xffffffffffffe) - g[2];
h[3] = (f[3] + 0xffffffffffffe) - g[3];
h[4] = (f[4] + 0xffffffffffffe) - g[4];
}
static void fe51_0(fe51 h)
{
h[0] = 0;
h[1] = 0;
h[2] = 0;
h[3] = 0;
h[4] = 0;
}
static void fe51_1(fe51 h)
{
h[0] = 1;
h[1] = 0;
h[2] = 0;
h[3] = 0;
h[4] = 0;
}
static void fe51_copy(fe51 h, const fe51 f)
{
h[0] = f[0];
h[1] = f[1];
h[2] = f[2];
h[3] = f[3];
h[4] = f[4];
}
static void fe51_cswap(fe51 f, fe51 g, unsigned int b)
{
int i;
uint64_t mask = 0 - (uint64_t)b;
for (i = 0; i < 5; i++) {
int64_t x = f[i] ^ g[i];
x &= mask;
f[i] ^= x;
g[i] ^= x;
}
}
static void fe51_invert(fe51 out, const fe51 z)
{
fe51 t0;
fe51 t1;
fe51 t2;
fe51 t3;
int i;
/*
* Compute z ** -1 = z ** (2 ** 255 - 19 - 2) with the exponent as
* 2 ** 255 - 21 = (2 ** 5) * (2 ** 250 - 1) + 11.
*/
/* t0 = z ** 2 */
fe51_sq(t0, z);
/* t1 = t0 ** (2 ** 2) = z ** 8 */
fe51_sq(t1, t0);
fe51_sq(t1, t1);
/* t1 = z * t1 = z ** 9 */
fe51_mul(t1, z, t1);
/* t0 = t0 * t1 = z ** 11 -- stash t0 away for the end. */
fe51_mul(t0, t0, t1);
/* t2 = t0 ** 2 = z ** 22 */
fe51_sq(t2, t0);
/* t1 = t1 * t2 = z ** (2 ** 5 - 1) */
fe51_mul(t1, t1, t2);
/* t2 = t1 ** (2 ** 5) = z ** ((2 ** 5) * (2 ** 5 - 1)) */
fe51_sq(t2, t1);
for (i = 1; i < 5; ++i)
fe51_sq(t2, t2);
/* t1 = t1 * t2 = z ** ((2 ** 5 + 1) * (2 ** 5 - 1)) = z ** (2 ** 10 - 1) */
fe51_mul(t1, t2, t1);
/* Continuing similarly... */
/* t2 = z ** (2 ** 20 - 1) */
fe51_sq(t2, t1);
for (i = 1; i < 10; ++i)
fe51_sq(t2, t2);
fe51_mul(t2, t2, t1);
/* t2 = z ** (2 ** 40 - 1) */
fe51_sq(t3, t2);
for (i = 1; i < 20; ++i)
fe51_sq(t3, t3);
fe51_mul(t2, t3, t2);
/* t2 = z ** (2 ** 10) * (2 ** 40 - 1) */
for (i = 0; i < 10; ++i)
fe51_sq(t2, t2);
/* t1 = z ** (2 ** 50 - 1) */
fe51_mul(t1, t2, t1);
/* t2 = z ** (2 ** 100 - 1) */
fe51_sq(t2, t1);
for (i = 1; i < 50; ++i)
fe51_sq(t2, t2);
fe51_mul(t2, t2, t1);
/* t2 = z ** (2 ** 200 - 1) */
fe51_sq(t3, t2);
for (i = 1; i < 100; ++i)
fe51_sq(t3, t3);
fe51_mul(t2, t3, t2);
/* t2 = z ** ((2 ** 50) * (2 ** 200 - 1) */
for (i = 0; i < 50; ++i)
fe51_sq(t2, t2);
/* t1 = z ** (2 ** 250 - 1) */
fe51_mul(t1, t2, t1);
/* t1 = z ** ((2 ** 5) * (2 ** 250 - 1)) */
for (i = 0; i < 5; ++i)
fe51_sq(t1, t1);
/* Recall t0 = z ** 11; out = z ** (2 ** 255 - 21) */
fe51_mul(out, t1, t0);
}
/*
* Duplicate of original x25519_scalar_mult_generic, but using
* fe51_* subroutines.
*/
static void x25519_scalar_mult(uint8_t out[32], const uint8_t scalar[32],
const uint8_t point[32])
{
fe51 x1, x2, z2, x3, z3, tmp0, tmp1;
uint8_t e[32];
unsigned swap = 0;
int pos;
# ifdef BASE_2_64_IMPLEMENTED
if (x25519_fe64_eligible()) {
x25519_scalar_mulx(out, scalar, point);
return;
}
# endif
memcpy(e, scalar, 32);
e[0] &= 0xf8;
e[31] &= 0x7f;
e[31] |= 0x40;
fe51_frombytes(x1, point);
fe51_1(x2);
fe51_0(z2);
fe51_copy(x3, x1);
fe51_1(z3);
for (pos = 254; pos >= 0; --pos) {
unsigned int b = 1 & (e[pos / 8] >> (pos & 7));
swap ^= b;
fe51_cswap(x2, x3, swap);
fe51_cswap(z2, z3, swap);
swap = b;
fe51_sub(tmp0, x3, z3);
fe51_sub(tmp1, x2, z2);
fe51_add(x2, x2, z2);
fe51_add(z2, x3, z3);
fe51_mul(z3, tmp0, x2);
fe51_mul(z2, z2, tmp1);
fe51_sq(tmp0, tmp1);
fe51_sq(tmp1, x2);
fe51_add(x3, z3, z2);
fe51_sub(z2, z3, z2);
fe51_mul(x2, tmp1, tmp0);
fe51_sub(tmp1, tmp1, tmp0);
fe51_sq(z2, z2);
fe51_mul121666(z3, tmp1);
fe51_sq(x3, x3);
fe51_add(tmp0, tmp0, z3);
fe51_mul(z3, x1, z2);
fe51_mul(z2, tmp1, tmp0);
}
fe51_invert(z2, z2);
fe51_mul(x2, x2, z2);
fe51_tobytes(out, x2);
OPENSSL_cleanse(e, sizeof(e));
}
#endif
/*
* Reference base 2^25.5 implementation.
*
* This code is mostly taken from the ref10 version of Ed25519 in SUPERCOP
* 20141124 (http://bench.cr.yp.to/supercop.html).
*
* The field functions are shared by Ed25519 and X25519 where possible.
*/
/*
* fe means field element. Here the field is \Z/(2^255-19). An element t,
* entries t[0]...t[9], represents the integer t[0]+2^26 t[1]+2^51 t[2]+2^77
* t[3]+2^102 t[4]+...+2^230 t[9]. Bounds on each t[i] vary depending on
* context.
*/
typedef int32_t fe[10];
static const int64_t kBottom21Bits = 0x1fffffLL;
static const int64_t kBottom25Bits = 0x1ffffffLL;
static const int64_t kBottom26Bits = 0x3ffffffLL;
static const int64_t kTop39Bits = 0xfffffffffe000000LL;
static const int64_t kTop38Bits = 0xfffffffffc000000LL;
static uint64_t load_3(const uint8_t *in)
{
uint64_t result;
result = ((uint64_t)in[0]);
result |= ((uint64_t)in[1]) << 8;
result |= ((uint64_t)in[2]) << 16;
return result;
}
static uint64_t load_4(const uint8_t *in)
{
uint64_t result;
result = ((uint64_t)in[0]);
result |= ((uint64_t)in[1]) << 8;
result |= ((uint64_t)in[2]) << 16;
result |= ((uint64_t)in[3]) << 24;
return result;
}
static void fe_frombytes(fe h, const uint8_t *s)
{
/* Ignores top bit of h. */
int64_t h0 = load_4(s);
int64_t h1 = load_3(s + 4) << 6;
int64_t h2 = load_3(s + 7) << 5;
int64_t h3 = load_3(s + 10) << 3;
int64_t h4 = load_3(s + 13) << 2;
int64_t h5 = load_4(s + 16);
int64_t h6 = load_3(s + 20) << 7;
int64_t h7 = load_3(s + 23) << 5;
int64_t h8 = load_3(s + 26) << 4;
int64_t h9 = (load_3(s + 29) & 0x7fffff) << 2;
int64_t carry0;
int64_t carry1;
int64_t carry2;
int64_t carry3;
int64_t carry4;
int64_t carry5;
int64_t carry6;
int64_t carry7;
int64_t carry8;
int64_t carry9;
carry9 = h9 + (1 << 24); h0 += (carry9 >> 25) * 19; h9 -= carry9 & kTop39Bits;
carry1 = h1 + (1 << 24); h2 += carry1 >> 25; h1 -= carry1 & kTop39Bits;
carry3 = h3 + (1 << 24); h4 += carry3 >> 25; h3 -= carry3 & kTop39Bits;
carry5 = h5 + (1 << 24); h6 += carry5 >> 25; h5 -= carry5 & kTop39Bits;
carry7 = h7 + (1 << 24); h8 += carry7 >> 25; h7 -= carry7 & kTop39Bits;
carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits;
carry2 = h2 + (1 << 25); h3 += carry2 >> 26; h2 -= carry2 & kTop38Bits;
carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits;
carry6 = h6 + (1 << 25); h7 += carry6 >> 26; h6 -= carry6 & kTop38Bits;
carry8 = h8 + (1 << 25); h9 += carry8 >> 26; h8 -= carry8 & kTop38Bits;
h[0] = (int32_t)h0;
h[1] = (int32_t)h1;
h[2] = (int32_t)h2;
h[3] = (int32_t)h3;
h[4] = (int32_t)h4;
h[5] = (int32_t)h5;
h[6] = (int32_t)h6;
h[7] = (int32_t)h7;
h[8] = (int32_t)h8;
h[9] = (int32_t)h9;
}
/*
* Preconditions:
* |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
*
* Write p=2^255-19; q=floor(h/p).
* Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))).
*
* Proof:
* Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4.
* Also have |h-2^230 h9|<2^231 so |19 2^(-255)(h-2^230 h9)|<1/4.
*
* Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9).
* Then 0<y<1.
*
* Write r=h-pq.
* Have 0<=r<=p-1=2^255-20.
* Thus 0<=r+19(2^-255)r<r+19(2^-255)2^255<=2^255-1.
*
* Write x=r+19(2^-255)r+y.
* Then 0<x<2^255 so floor(2^(-255)x) = 0 so floor(q+2^(-255)x) = q.
*
* Have q+2^(-255)x = 2^(-255)(h + 19 2^(-25) h9 + 2^(-1))
* so floor(2^(-255)(h + 19 2^(-25) h9 + 2^(-1))) = q.
*/
static void fe_tobytes(uint8_t *s, const fe h)
{
int32_t h0 = h[0];
int32_t h1 = h[1];
int32_t h2 = h[2];
int32_t h3 = h[3];
int32_t h4 = h[4];
int32_t h5 = h[5];
int32_t h6 = h[6];
int32_t h7 = h[7];
int32_t h8 = h[8];
int32_t h9 = h[9];
int32_t q;
q = (19 * h9 + (((int32_t) 1) << 24)) >> 25;
q = (h0 + q) >> 26;
q = (h1 + q) >> 25;
q = (h2 + q) >> 26;
q = (h3 + q) >> 25;
q = (h4 + q) >> 26;
q = (h5 + q) >> 25;
q = (h6 + q) >> 26;
q = (h7 + q) >> 25;
q = (h8 + q) >> 26;
q = (h9 + q) >> 25;
/* Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. */
h0 += 19 * q;
/* Goal: Output h-2^255 q, which is between 0 and 2^255-20. */
h1 += h0 >> 26; h0 &= kBottom26Bits;
h2 += h1 >> 25; h1 &= kBottom25Bits;
h3 += h2 >> 26; h2 &= kBottom26Bits;
h4 += h3 >> 25; h3 &= kBottom25Bits;
h5 += h4 >> 26; h4 &= kBottom26Bits;
h6 += h5 >> 25; h5 &= kBottom25Bits;
h7 += h6 >> 26; h6 &= kBottom26Bits;
h8 += h7 >> 25; h7 &= kBottom25Bits;
h9 += h8 >> 26; h8 &= kBottom26Bits;
h9 &= kBottom25Bits;
/* h10 = carry9 */
/*
* Goal: Output h0+...+2^255 h10-2^255 q, which is between 0 and 2^255-20.
* Have h0+...+2^230 h9 between 0 and 2^255-1;
* evidently 2^255 h10-2^255 q = 0.
* Goal: Output h0+...+2^230 h9.
*/
s[ 0] = (uint8_t) (h0 >> 0);
s[ 1] = (uint8_t) (h0 >> 8);
s[ 2] = (uint8_t) (h0 >> 16);
s[ 3] = (uint8_t)((h0 >> 24) | ((uint32_t)(h1) << 2));
s[ 4] = (uint8_t) (h1 >> 6);
s[ 5] = (uint8_t) (h1 >> 14);
s[ 6] = (uint8_t)((h1 >> 22) | ((uint32_t)(h2) << 3));
s[ 7] = (uint8_t) (h2 >> 5);
s[ 8] = (uint8_t) (h2 >> 13);
s[ 9] = (uint8_t)((h2 >> 21) | ((uint32_t)(h3) << 5));
s[10] = (uint8_t) (h3 >> 3);
s[11] = (uint8_t) (h3 >> 11);
s[12] = (uint8_t)((h3 >> 19) | ((uint32_t)(h4) << 6));
s[13] = (uint8_t) (h4 >> 2);
s[14] = (uint8_t) (h4 >> 10);
s[15] = (uint8_t) (h4 >> 18);
s[16] = (uint8_t) (h5 >> 0);
s[17] = (uint8_t) (h5 >> 8);
s[18] = (uint8_t) (h5 >> 16);
s[19] = (uint8_t)((h5 >> 24) | ((uint32_t)(h6) << 1));
s[20] = (uint8_t) (h6 >> 7);
s[21] = (uint8_t) (h6 >> 15);
s[22] = (uint8_t)((h6 >> 23) | ((uint32_t)(h7) << 3));
s[23] = (uint8_t) (h7 >> 5);
s[24] = (uint8_t) (h7 >> 13);
s[25] = (uint8_t)((h7 >> 21) | ((uint32_t)(h8) << 4));
s[26] = (uint8_t) (h8 >> 4);
s[27] = (uint8_t) (h8 >> 12);
s[28] = (uint8_t)((h8 >> 20) | ((uint32_t)(h9) << 6));
s[29] = (uint8_t) (h9 >> 2);
s[30] = (uint8_t) (h9 >> 10);
s[31] = (uint8_t) (h9 >> 18);
}
/* h = f */
static void fe_copy(fe h, const fe f)
{
memmove(h, f, sizeof(int32_t) * 10);
}
/* h = 0 */
static void fe_0(fe h)
{
memset(h, 0, sizeof(int32_t) * 10);
}
/* h = 1 */
static void fe_1(fe h)
{
memset(h, 0, sizeof(int32_t) * 10);
h[0] = 1;
}
/*
* h = f + g
*
* Can overlap h with f or g.
*
* Preconditions:
* |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
* |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
*
* Postconditions:
* |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
*/
static void fe_add(fe h, const fe f, const fe g)
{
unsigned i;
for (i = 0; i < 10; i++) {
h[i] = f[i] + g[i];
}
}
/*
* h = f - g
*
* Can overlap h with f or g.
*
* Preconditions:
* |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
* |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
*
* Postconditions:
* |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
*/
static void fe_sub(fe h, const fe f, const fe g)
{
unsigned i;
for (i = 0; i < 10; i++) {
h[i] = f[i] - g[i];
}
}
/*
* h = f * g
*
* Can overlap h with f or g.
*
* Preconditions:
* |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.
* |g| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.
*
* Postconditions:
* |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
*
* Notes on implementation strategy:
*
* Using schoolbook multiplication.
* Karatsuba would save a little in some cost models.
*
* Most multiplications by 2 and 19 are 32-bit precomputations;
* cheaper than 64-bit postcomputations.
*
* There is one remaining multiplication by 19 in the carry chain;
* one *19 precomputation can be merged into this,
* but the resulting data flow is considerably less clean.
*
* There are 12 carries below.
* 10 of them are 2-way parallelizable and vectorizable.
* Can get away with 11 carries, but then data flow is much deeper.
*
* With tighter constraints on inputs can squeeze carries into int32.
*/
static void fe_mul(fe h, const fe f, const fe g)
{
int32_t f0 = f[0];
int32_t f1 = f[1];
int32_t f2 = f[2];
int32_t f3 = f[3];
int32_t f4 = f[4];
int32_t f5 = f[5];
int32_t f6 = f[6];
int32_t f7 = f[7];
int32_t f8 = f[8];
int32_t f9 = f[9];
int32_t g0 = g[0];
int32_t g1 = g[1];
int32_t g2 = g[2];
int32_t g3 = g[3];
int32_t g4 = g[4];
int32_t g5 = g[5];
int32_t g6 = g[6];
int32_t g7 = g[7];
int32_t g8 = g[8];
int32_t g9 = g[9];
int32_t g1_19 = 19 * g1; /* 1.959375*2^29 */
int32_t g2_19 = 19 * g2; /* 1.959375*2^30; still ok */
int32_t g3_19 = 19 * g3;
int32_t g4_19 = 19 * g4;
int32_t g5_19 = 19 * g5;
int32_t g6_19 = 19 * g6;
int32_t g7_19 = 19 * g7;
int32_t g8_19 = 19 * g8;
int32_t g9_19 = 19 * g9;
int32_t f1_2 = 2 * f1;
int32_t f3_2 = 2 * f3;
int32_t f5_2 = 2 * f5;
int32_t f7_2 = 2 * f7;
int32_t f9_2 = 2 * f9;
int64_t f0g0 = f0 * (int64_t) g0;
int64_t f0g1 = f0 * (int64_t) g1;
int64_t f0g2 = f0 * (int64_t) g2;
int64_t f0g3 = f0 * (int64_t) g3;
int64_t f0g4 = f0 * (int64_t) g4;
int64_t f0g5 = f0 * (int64_t) g5;
int64_t f0g6 = f0 * (int64_t) g6;
int64_t f0g7 = f0 * (int64_t) g7;
int64_t f0g8 = f0 * (int64_t) g8;
int64_t f0g9 = f0 * (int64_t) g9;
int64_t f1g0 = f1 * (int64_t) g0;
int64_t f1g1_2 = f1_2 * (int64_t) g1;
int64_t f1g2 = f1 * (int64_t) g2;
int64_t f1g3_2 = f1_2 * (int64_t) g3;
int64_t f1g4 = f1 * (int64_t) g4;
int64_t f1g5_2 = f1_2 * (int64_t) g5;
int64_t f1g6 = f1 * (int64_t) g6;
int64_t f1g7_2 = f1_2 * (int64_t) g7;
int64_t f1g8 = f1 * (int64_t) g8;
int64_t f1g9_38 = f1_2 * (int64_t) g9_19;
int64_t f2g0 = f2 * (int64_t) g0;
int64_t f2g1 = f2 * (int64_t) g1;
int64_t f2g2 = f2 * (int64_t) g2;
int64_t f2g3 = f2 * (int64_t) g3;
int64_t f2g4 = f2 * (int64_t) g4;
int64_t f2g5 = f2 * (int64_t) g5;
int64_t f2g6 = f2 * (int64_t) g6;
int64_t f2g7 = f2 * (int64_t) g7;
int64_t f2g8_19 = f2 * (int64_t) g8_19;
int64_t f2g9_19 = f2 * (int64_t) g9_19;
int64_t f3g0 = f3 * (int64_t) g0;
int64_t f3g1_2 = f3_2 * (int64_t) g1;
int64_t f3g2 = f3 * (int64_t) g2;
int64_t f3g3_2 = f3_2 * (int64_t) g3;
int64_t f3g4 = f3 * (int64_t) g4;
int64_t f3g5_2 = f3_2 * (int64_t) g5;
int64_t f3g6 = f3 * (int64_t) g6;
int64_t f3g7_38 = f3_2 * (int64_t) g7_19;
int64_t f3g8_19 = f3 * (int64_t) g8_19;
int64_t f3g9_38 = f3_2 * (int64_t) g9_19;
int64_t f4g0 = f4 * (int64_t) g0;
int64_t f4g1 = f4 * (int64_t) g1;
int64_t f4g2 = f4 * (int64_t) g2;
int64_t f4g3 = f4 * (int64_t) g3;
int64_t f4g4 = f4 * (int64_t) g4;
int64_t f4g5 = f4 * (int64_t) g5;
int64_t f4g6_19 = f4 * (int64_t) g6_19;
int64_t f4g7_19 = f4 * (int64_t) g7_19;
int64_t f4g8_19 = f4 * (int64_t) g8_19;
int64_t f4g9_19 = f4 * (int64_t) g9_19;
int64_t f5g0 = f5 * (int64_t) g0;
int64_t f5g1_2 = f5_2 * (int64_t) g1;
int64_t f5g2 = f5 * (int64_t) g2;
int64_t f5g3_2 = f5_2 * (int64_t) g3;
int64_t f5g4 = f5 * (int64_t) g4;
int64_t f5g5_38 = f5_2 * (int64_t) g5_19;
int64_t f5g6_19 = f5 * (int64_t) g6_19;
int64_t f5g7_38 = f5_2 * (int64_t) g7_19;
int64_t f5g8_19 = f5 * (int64_t) g8_19;
int64_t f5g9_38 = f5_2 * (int64_t) g9_19;
int64_t f6g0 = f6 * (int64_t) g0;
int64_t f6g1 = f6 * (int64_t) g1;
int64_t f6g2 = f6 * (int64_t) g2;
int64_t f6g3 = f6 * (int64_t) g3;
int64_t f6g4_19 = f6 * (int64_t) g4_19;
int64_t f6g5_19 = f6 * (int64_t) g5_19;
int64_t f6g6_19 = f6 * (int64_t) g6_19;
int64_t f6g7_19 = f6 * (int64_t) g7_19;
int64_t f6g8_19 = f6 * (int64_t) g8_19;
int64_t f6g9_19 = f6 * (int64_t) g9_19;
int64_t f7g0 = f7 * (int64_t) g0;
int64_t f7g1_2 = f7_2 * (int64_t) g1;
int64_t f7g2 = f7 * (int64_t) g2;
int64_t f7g3_38 = f7_2 * (int64_t) g3_19;
int64_t f7g4_19 = f7 * (int64_t) g4_19;
int64_t f7g5_38 = f7_2 * (int64_t) g5_19;
int64_t f7g6_19 = f7 * (int64_t) g6_19;
int64_t f7g7_38 = f7_2 * (int64_t) g7_19;
int64_t f7g8_19 = f7 * (int64_t) g8_19;
int64_t f7g9_38 = f7_2 * (int64_t) g9_19;
int64_t f8g0 = f8 * (int64_t) g0;
int64_t f8g1 = f8 * (int64_t) g1;
int64_t f8g2_19 = f8 * (int64_t) g2_19;
int64_t f8g3_19 = f8 * (int64_t) g3_19;
int64_t f8g4_19 = f8 * (int64_t) g4_19;
int64_t f8g5_19 = f8 * (int64_t) g5_19;
int64_t f8g6_19 = f8 * (int64_t) g6_19;
int64_t f8g7_19 = f8 * (int64_t) g7_19;
int64_t f8g8_19 = f8 * (int64_t) g8_19;
int64_t f8g9_19 = f8 * (int64_t) g9_19;
int64_t f9g0 = f9 * (int64_t) g0;
int64_t f9g1_38 = f9_2 * (int64_t) g1_19;
int64_t f9g2_19 = f9 * (int64_t) g2_19;
int64_t f9g3_38 = f9_2 * (int64_t) g3_19;
int64_t f9g4_19 = f9 * (int64_t) g4_19;
int64_t f9g5_38 = f9_2 * (int64_t) g5_19;
int64_t f9g6_19 = f9 * (int64_t) g6_19;
int64_t f9g7_38 = f9_2 * (int64_t) g7_19;
int64_t f9g8_19 = f9 * (int64_t) g8_19;
int64_t f9g9_38 = f9_2 * (int64_t) g9_19;
int64_t h0 = f0g0 + f1g9_38 + f2g8_19 + f3g7_38 + f4g6_19 + f5g5_38 + f6g4_19 + f7g3_38 + f8g2_19 + f9g1_38;
int64_t h1 = f0g1 + f1g0 + f2g9_19 + f3g8_19 + f4g7_19 + f5g6_19 + f6g5_19 + f7g4_19 + f8g3_19 + f9g2_19;
int64_t h2 = f0g2 + f1g1_2 + f2g0 + f3g9_38 + f4g8_19 + f5g7_38 + f6g6_19 + f7g5_38 + f8g4_19 + f9g3_38;
int64_t h3 = f0g3 + f1g2 + f2g1 + f3g0 + f4g9_19 + f5g8_19 + f6g7_19 + f7g6_19 + f8g5_19 + f9g4_19;
int64_t h4 = f0g4 + f1g3_2 + f2g2 + f3g1_2 + f4g0 + f5g9_38 + f6g8_19 + f7g7_38 + f8g6_19 + f9g5_38;
int64_t h5 = f0g5 + f1g4 + f2g3 + f3g2 + f4g1 + f5g0 + f6g9_19 + f7g8_19 + f8g7_19 + f9g6_19;
int64_t h6 = f0g6 + f1g5_2 + f2g4 + f3g3_2 + f4g2 + f5g1_2 + f6g0 + f7g9_38 + f8g8_19 + f9g7_38;
int64_t h7 = f0g7 + f1g6 + f2g5 + f3g4 + f4g3 + f5g2 + f6g1 + f7g0 + f8g9_19 + f9g8_19;
int64_t h8 = f0g8 + f1g7_2 + f2g6 + f3g5_2 + f4g4 + f5g3_2 + f6g2 + f7g1_2 + f8g0 + f9g9_38;
int64_t h9 = f0g9 + f1g8 + f2g7 + f3g6 + f4g5 + f5g4 + f6g3 + f7g2 + f8g1 + f9g0 ;
int64_t carry0;
int64_t carry1;
int64_t carry2;
int64_t carry3;
int64_t carry4;
int64_t carry5;
int64_t carry6;
int64_t carry7;
int64_t carry8;
int64_t carry9;
/* |h0| <= (1.65*1.65*2^52*(1+19+19+19+19)+1.65*1.65*2^50*(38+38+38+38+38))
* i.e. |h0| <= 1.4*2^60; narrower ranges for h2, h4, h6, h8
* |h1| <= (1.65*1.65*2^51*(1+1+19+19+19+19+19+19+19+19))
* i.e. |h1| <= 1.7*2^59; narrower ranges for h3, h5, h7, h9 */
carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits;
carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits;
/* |h0| <= 2^25 */
/* |h4| <= 2^25 */
/* |h1| <= 1.71*2^59 */
/* |h5| <= 1.71*2^59 */
carry1 = h1 + (1 << 24); h2 += carry1 >> 25; h1 -= carry1 & kTop39Bits;
carry5 = h5 + (1 << 24); h6 += carry5 >> 25; h5 -= carry5 & kTop39Bits;
/* |h1| <= 2^24; from now on fits into int32 */
/* |h5| <= 2^24; from now on fits into int32 */
/* |h2| <= 1.41*2^60 */
/* |h6| <= 1.41*2^60 */
carry2 = h2 + (1 << 25); h3 += carry2 >> 26; h2 -= carry2 & kTop38Bits;
carry6 = h6 + (1 << 25); h7 += carry6 >> 26; h6 -= carry6 & kTop38Bits;
/* |h2| <= 2^25; from now on fits into int32 unchanged */
/* |h6| <= 2^25; from now on fits into int32 unchanged */
/* |h3| <= 1.71*2^59 */
/* |h7| <= 1.71*2^59 */
carry3 = h3 + (1 << 24); h4 += carry3 >> 25; h3 -= carry3 & kTop39Bits;
carry7 = h7 + (1 << 24); h8 += carry7 >> 25; h7 -= carry7 & kTop39Bits;
/* |h3| <= 2^24; from now on fits into int32 unchanged */
/* |h7| <= 2^24; from now on fits into int32 unchanged */
/* |h4| <= 1.72*2^34 */
/* |h8| <= 1.41*2^60 */
carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits;
carry8 = h8 + (1 << 25); h9 += carry8 >> 26; h8 -= carry8 & kTop38Bits;
/* |h4| <= 2^25; from now on fits into int32 unchanged */
/* |h8| <= 2^25; from now on fits into int32 unchanged */
/* |h5| <= 1.01*2^24 */
/* |h9| <= 1.71*2^59 */
carry9 = h9 + (1 << 24); h0 += (carry9 >> 25) * 19; h9 -= carry9 & kTop39Bits;
/* |h9| <= 2^24; from now on fits into int32 unchanged */
/* |h0| <= 1.1*2^39 */
carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits;
/* |h0| <= 2^25; from now on fits into int32 unchanged */
/* |h1| <= 1.01*2^24 */
h[0] = (int32_t)h0;
h[1] = (int32_t)h1;
h[2] = (int32_t)h2;
h[3] = (int32_t)h3;
h[4] = (int32_t)h4;
h[5] = (int32_t)h5;
h[6] = (int32_t)h6;
h[7] = (int32_t)h7;
h[8] = (int32_t)h8;
h[9] = (int32_t)h9;
}
/*
* h = f * f
*
* Can overlap h with f.
*
* Preconditions:
* |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.
*
* Postconditions:
* |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
*
* See fe_mul.c for discussion of implementation strategy.
*/
static void fe_sq(fe h, const fe f)
{
int32_t f0 = f[0];
int32_t f1 = f[1];
int32_t f2 = f[2];
int32_t f3 = f[3];
int32_t f4 = f[4];
int32_t f5 = f[5];
int32_t f6 = f[6];
int32_t f7 = f[7];
int32_t f8 = f[8];
int32_t f9 = f[9];
int32_t f0_2 = 2 * f0;
int32_t f1_2 = 2 * f1;
int32_t f2_2 = 2 * f2;
int32_t f3_2 = 2 * f3;
int32_t f4_2 = 2 * f4;
int32_t f5_2 = 2 * f5;
int32_t f6_2 = 2 * f6;
int32_t f7_2 = 2 * f7;
int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */
int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */
int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */
int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */
int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */
int64_t f0f0 = f0 * (int64_t) f0;
int64_t f0f1_2 = f0_2 * (int64_t) f1;
int64_t f0f2_2 = f0_2 * (int64_t) f2;
int64_t f0f3_2 = f0_2 * (int64_t) f3;
int64_t f0f4_2 = f0_2 * (int64_t) f4;
int64_t f0f5_2 = f0_2 * (int64_t) f5;
int64_t f0f6_2 = f0_2 * (int64_t) f6;
int64_t f0f7_2 = f0_2 * (int64_t) f7;
int64_t f0f8_2 = f0_2 * (int64_t) f8;
int64_t f0f9_2 = f0_2 * (int64_t) f9;
int64_t f1f1_2 = f1_2 * (int64_t) f1;
int64_t f1f2_2 = f1_2 * (int64_t) f2;
int64_t f1f3_4 = f1_2 * (int64_t) f3_2;
int64_t f1f4_2 = f1_2 * (int64_t) f4;
int64_t f1f5_4 = f1_2 * (int64_t) f5_2;
int64_t f1f6_2 = f1_2 * (int64_t) f6;
int64_t f1f7_4 = f1_2 * (int64_t) f7_2;
int64_t f1f8_2 = f1_2 * (int64_t) f8;
int64_t f1f9_76 = f1_2 * (int64_t) f9_38;
int64_t f2f2 = f2 * (int64_t) f2;
int64_t f2f3_2 = f2_2 * (int64_t) f3;
int64_t f2f4_2 = f2_2 * (int64_t) f4;
int64_t f2f5_2 = f2_2 * (int64_t) f5;
int64_t f2f6_2 = f2_2 * (int64_t) f6;
int64_t f2f7_2 = f2_2 * (int64_t) f7;
int64_t f2f8_38 = f2_2 * (int64_t) f8_19;
int64_t f2f9_38 = f2 * (int64_t) f9_38;
int64_t f3f3_2 = f3_2 * (int64_t) f3;
int64_t f3f4_2 = f3_2 * (int64_t) f4;
int64_t f3f5_4 = f3_2 * (int64_t) f5_2;
int64_t f3f6_2 = f3_2 * (int64_t) f6;
int64_t f3f7_76 = f3_2 * (int64_t) f7_38;
int64_t f3f8_38 = f3_2 * (int64_t) f8_19;
int64_t f3f9_76 = f3_2 * (int64_t) f9_38;
int64_t f4f4 = f4 * (int64_t) f4;
int64_t f4f5_2 = f4_2 * (int64_t) f5;
int64_t f4f6_38 = f4_2 * (int64_t) f6_19;
int64_t f4f7_38 = f4 * (int64_t) f7_38;
int64_t f4f8_38 = f4_2 * (int64_t) f8_19;
int64_t f4f9_38 = f4 * (int64_t) f9_38;
int64_t f5f5_38 = f5 * (int64_t) f5_38;
int64_t f5f6_38 = f5_2 * (int64_t) f6_19;
int64_t f5f7_76 = f5_2 * (int64_t) f7_38;
int64_t f5f8_38 = f5_2 * (int64_t) f8_19;
int64_t f5f9_76 = f5_2 * (int64_t) f9_38;
int64_t f6f6_19 = f6 * (int64_t) f6_19;
int64_t f6f7_38 = f6 * (int64_t) f7_38;
int64_t f6f8_38 = f6_2 * (int64_t) f8_19;
int64_t f6f9_38 = f6 * (int64_t) f9_38;
int64_t f7f7_38 = f7 * (int64_t) f7_38;
int64_t f7f8_38 = f7_2 * (int64_t) f8_19;
int64_t f7f9_76 = f7_2 * (int64_t) f9_38;
int64_t f8f8_19 = f8 * (int64_t) f8_19;
int64_t f8f9_38 = f8 * (int64_t) f9_38;
int64_t f9f9_38 = f9 * (int64_t) f9_38;
int64_t h0 = f0f0 + f1f9_76 + f2f8_38 + f3f7_76 + f4f6_38 + f5f5_38;
int64_t h1 = f0f1_2 + f2f9_38 + f3f8_38 + f4f7_38 + f5f6_38;
int64_t h2 = f0f2_2 + f1f1_2 + f3f9_76 + f4f8_38 + f5f7_76 + f6f6_19;
int64_t h3 = f0f3_2 + f1f2_2 + f4f9_38 + f5f8_38 + f6f7_38;
int64_t h4 = f0f4_2 + f1f3_4 + f2f2 + f5f9_76 + f6f8_38 + f7f7_38;
int64_t h5 = f0f5_2 + f1f4_2 + f2f3_2 + f6f9_38 + f7f8_38;
int64_t h6 = f0f6_2 + f1f5_4 + f2f4_2 + f3f3_2 + f7f9_76 + f8f8_19;
int64_t h7 = f0f7_2 + f1f6_2 + f2f5_2 + f3f4_2 + f8f9_38;
int64_t h8 = f0f8_2 + f1f7_4 + f2f6_2 + f3f5_4 + f4f4 + f9f9_38;
int64_t h9 = f0f9_2 + f1f8_2 + f2f7_2 + f3f6_2 + f4f5_2;
int64_t carry0;
int64_t carry1;
int64_t carry2;
int64_t carry3;
int64_t carry4;
int64_t carry5;
int64_t carry6;
int64_t carry7;
int64_t carry8;
int64_t carry9;
carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits;
carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits;
carry1 = h1 + (1 << 24); h2 += carry1 >> 25; h1 -= carry1 & kTop39Bits;
carry5 = h5 + (1 << 24); h6 += carry5 >> 25; h5 -= carry5 & kTop39Bits;
carry2 = h2 + (1 << 25); h3 += carry2 >> 26; h2 -= carry2 & kTop38Bits;
carry6 = h6 + (1 << 25); h7 += carry6 >> 26; h6 -= carry6 & kTop38Bits;
carry3 = h3 + (1 << 24); h4 += carry3 >> 25; h3 -= carry3 & kTop39Bits;
carry7 = h7 + (1 << 24); h8 += carry7 >> 25; h7 -= carry7 & kTop39Bits;
carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits;
carry8 = h8 + (1 << 25); h9 += carry8 >> 26; h8 -= carry8 & kTop38Bits;
carry9 = h9 + (1 << 24); h0 += (carry9 >> 25) * 19; h9 -= carry9 & kTop39Bits;
carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits;
h[0] = (int32_t)h0;
h[1] = (int32_t)h1;
h[2] = (int32_t)h2;
h[3] = (int32_t)h3;
h[4] = (int32_t)h4;
h[5] = (int32_t)h5;
h[6] = (int32_t)h6;
h[7] = (int32_t)h7;
h[8] = (int32_t)h8;
h[9] = (int32_t)h9;
}
static void fe_invert(fe out, const fe z)
{
fe t0;
fe t1;
fe t2;
fe t3;
int i;
/*
* Compute z ** -1 = z ** (2 ** 255 - 19 - 2) with the exponent as
* 2 ** 255 - 21 = (2 ** 5) * (2 ** 250 - 1) + 11.
*/
/* t0 = z ** 2 */
fe_sq(t0, z);
/* t1 = t0 ** (2 ** 2) = z ** 8 */
fe_sq(t1, t0);
fe_sq(t1, t1);
/* t1 = z * t1 = z ** 9 */
fe_mul(t1, z, t1);
/* t0 = t0 * t1 = z ** 11 -- stash t0 away for the end. */
fe_mul(t0, t0, t1);
/* t2 = t0 ** 2 = z ** 22 */
fe_sq(t2, t0);
/* t1 = t1 * t2 = z ** (2 ** 5 - 1) */
fe_mul(t1, t1, t2);
/* t2 = t1 ** (2 ** 5) = z ** ((2 ** 5) * (2 ** 5 - 1)) */
fe_sq(t2, t1);
for (i = 1; i < 5; ++i) {
fe_sq(t2, t2);
}
/* t1 = t1 * t2 = z ** ((2 ** 5 + 1) * (2 ** 5 - 1)) = z ** (2 ** 10 - 1) */
fe_mul(t1, t2, t1);
/* Continuing similarly... */
/* t2 = z ** (2 ** 20 - 1) */
fe_sq(t2, t1);
for (i = 1; i < 10; ++i) {
fe_sq(t2, t2);
}
fe_mul(t2, t2, t1);
/* t2 = z ** (2 ** 40 - 1) */
fe_sq(t3, t2);
for (i = 1; i < 20; ++i) {
fe_sq(t3, t3);
}
fe_mul(t2, t3, t2);
/* t2 = z ** (2 ** 10) * (2 ** 40 - 1) */
for (i = 0; i < 10; ++i) {
fe_sq(t2, t2);
}
/* t1 = z ** (2 ** 50 - 1) */
fe_mul(t1, t2, t1);
/* t2 = z ** (2 ** 100 - 1) */
fe_sq(t2, t1);
for (i = 1; i < 50; ++i) {
fe_sq(t2, t2);
}
fe_mul(t2, t2, t1);
/* t2 = z ** (2 ** 200 - 1) */
fe_sq(t3, t2);
for (i = 1; i < 100; ++i) {
fe_sq(t3, t3);
}
fe_mul(t2, t3, t2);
/* t2 = z ** ((2 ** 50) * (2 ** 200 - 1) */
fe_sq(t2, t2);
for (i = 1; i < 50; ++i) {
fe_sq(t2, t2);
}
/* t1 = z ** (2 ** 250 - 1) */
fe_mul(t1, t2, t1);
/* t1 = z ** ((2 ** 5) * (2 ** 250 - 1)) */
fe_sq(t1, t1);
for (i = 1; i < 5; ++i) {
fe_sq(t1, t1);
}
/* Recall t0 = z ** 11; out = z ** (2 ** 255 - 21) */
fe_mul(out, t1, t0);
}
/*
* h = -f
*
* Preconditions:
* |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
*
* Postconditions:
* |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
*/
static void fe_neg(fe h, const fe f)
{
unsigned i;
for (i = 0; i < 10; i++) {
h[i] = -f[i];
}
}
/*
* Replace (f,g) with (g,g) if b == 1;
* replace (f,g) with (f,g) if b == 0.
*
* Preconditions: b in {0,1}.
*/
static void fe_cmov(fe f, const fe g, unsigned b)
{
size_t i;
b = 0-b;
for (i = 0; i < 10; i++) {
int32_t x = f[i] ^ g[i];
x &= b;
f[i] ^= x;
}
}
/*
* return 0 if f == 0
* return 1 if f != 0
*
* Preconditions:
* |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
*/
static int fe_isnonzero(const fe f)
{
uint8_t s[32];
static const uint8_t zero[32] = {0};
fe_tobytes(s, f);
return CRYPTO_memcmp(s, zero, sizeof(zero)) != 0;
}
/*
* return 1 if f is in {1,3,5,...,q-2}
* return 0 if f is in {0,2,4,...,q-1}
*
* Preconditions:
* |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
*/
static int fe_isnegative(const fe f)
{
uint8_t s[32];
fe_tobytes(s, f);
return s[0] & 1;
}
/*
* h = 2 * f * f
*
* Can overlap h with f.
*
* Preconditions:
* |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.
*
* Postconditions:
* |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
*
* See fe_mul.c for discussion of implementation strategy.
*/
static void fe_sq2(fe h, const fe f)
{
int32_t f0 = f[0];
int32_t f1 = f[1];
int32_t f2 = f[2];
int32_t f3 = f[3];
int32_t f4 = f[4];
int32_t f5 = f[5];
int32_t f6 = f[6];
int32_t f7 = f[7];
int32_t f8 = f[8];
int32_t f9 = f[9];
int32_t f0_2 = 2 * f0;
int32_t f1_2 = 2 * f1;
int32_t f2_2 = 2 * f2;
int32_t f3_2 = 2 * f3;
int32_t f4_2 = 2 * f4;
int32_t f5_2 = 2 * f5;
int32_t f6_2 = 2 * f6;
int32_t f7_2 = 2 * f7;
int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */
int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */
int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */
int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */
int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */
int64_t f0f0 = f0 * (int64_t) f0;
int64_t f0f1_2 = f0_2 * (int64_t) f1;
int64_t f0f2_2 = f0_2 * (int64_t) f2;
int64_t f0f3_2 = f0_2 * (int64_t) f3;
int64_t f0f4_2 = f0_2 * (int64_t) f4;
int64_t f0f5_2 = f0_2 * (int64_t) f5;
int64_t f0f6_2 = f0_2 * (int64_t) f6;
int64_t f0f7_2 = f0_2 * (int64_t) f7;
int64_t f0f8_2 = f0_2 * (int64_t) f8;
int64_t f0f9_2 = f0_2 * (int64_t) f9;
int64_t f1f1_2 = f1_2 * (int64_t) f1;
int64_t f1f2_2 = f1_2 * (int64_t) f2;
int64_t f1f3_4 = f1_2 * (int64_t) f3_2;
int64_t f1f4_2 = f1_2 * (int64_t) f4;
int64_t f1f5_4 = f1_2 * (int64_t) f5_2;
int64_t f1f6_2 = f1_2 * (int64_t) f6;
int64_t f1f7_4 = f1_2 * (int64_t) f7_2;
int64_t f1f8_2 = f1_2 * (int64_t) f8;
int64_t f1f9_76 = f1_2 * (int64_t) f9_38;
int64_t f2f2 = f2 * (int64_t) f2;
int64_t f2f3_2 = f2_2 * (int64_t) f3;
int64_t f2f4_2 = f2_2 * (int64_t) f4;
int64_t f2f5_2 = f2_2 * (int64_t) f5;
int64_t f2f6_2 = f2_2 * (int64_t) f6;
int64_t f2f7_2 = f2_2 * (int64_t) f7;
int64_t f2f8_38 = f2_2 * (int64_t) f8_19;
int64_t f2f9_38 = f2 * (int64_t) f9_38;
int64_t f3f3_2 = f3_2 * (int64_t) f3;
int64_t f3f4_2 = f3_2 * (int64_t) f4;
int64_t f3f5_4 = f3_2 * (int64_t) f5_2;
int64_t f3f6_2 = f3_2 * (int64_t) f6;
int64_t f3f7_76 = f3_2 * (int64_t) f7_38;
int64_t f3f8_38 = f3_2 * (int64_t) f8_19;
int64_t f3f9_76 = f3_2 * (int64_t) f9_38;
int64_t f4f4 = f4 * (int64_t) f4;
int64_t f4f5_2 = f4_2 * (int64_t) f5;
int64_t f4f6_38 = f4_2 * (int64_t) f6_19;
int64_t f4f7_38 = f4 * (int64_t) f7_38;
int64_t f4f8_38 = f4_2 * (int64_t) f8_19;
int64_t f4f9_38 = f4 * (int64_t) f9_38;
int64_t f5f5_38 = f5 * (int64_t) f5_38;
int64_t f5f6_38 = f5_2 * (int64_t) f6_19;
int64_t f5f7_76 = f5_2 * (int64_t) f7_38;
int64_t f5f8_38 = f5_2 * (int64_t) f8_19;
int64_t f5f9_76 = f5_2 * (int64_t) f9_38;
int64_t f6f6_19 = f6 * (int64_t) f6_19;
int64_t f6f7_38 = f6 * (int64_t) f7_38;
int64_t f6f8_38 = f6_2 * (int64_t) f8_19;
int64_t f6f9_38 = f6 * (int64_t) f9_38;
int64_t f7f7_38 = f7 * (int64_t) f7_38;
int64_t f7f8_38 = f7_2 * (int64_t) f8_19;
int64_t f7f9_76 = f7_2 * (int64_t) f9_38;
int64_t f8f8_19 = f8 * (int64_t) f8_19;
int64_t f8f9_38 = f8 * (int64_t) f9_38;
int64_t f9f9_38 = f9 * (int64_t) f9_38;
int64_t h0 = f0f0 + f1f9_76 + f2f8_38 + f3f7_76 + f4f6_38 + f5f5_38;
int64_t h1 = f0f1_2 + f2f9_38 + f3f8_38 + f4f7_38 + f5f6_38;
int64_t h2 = f0f2_2 + f1f1_2 + f3f9_76 + f4f8_38 + f5f7_76 + f6f6_19;
int64_t h3 = f0f3_2 + f1f2_2 + f4f9_38 + f5f8_38 + f6f7_38;
int64_t h4 = f0f4_2 + f1f3_4 + f2f2 + f5f9_76 + f6f8_38 + f7f7_38;
int64_t h5 = f0f5_2 + f1f4_2 + f2f3_2 + f6f9_38 + f7f8_38;
int64_t h6 = f0f6_2 + f1f5_4 + f2f4_2 + f3f3_2 + f7f9_76 + f8f8_19;
int64_t h7 = f0f7_2 + f1f6_2 + f2f5_2 + f3f4_2 + f8f9_38;
int64_t h8 = f0f8_2 + f1f7_4 + f2f6_2 + f3f5_4 + f4f4 + f9f9_38;
int64_t h9 = f0f9_2 + f1f8_2 + f2f7_2 + f3f6_2 + f4f5_2;
int64_t carry0;
int64_t carry1;
int64_t carry2;
int64_t carry3;
int64_t carry4;
int64_t carry5;
int64_t carry6;
int64_t carry7;
int64_t carry8;
int64_t carry9;
h0 += h0;
h1 += h1;
h2 += h2;
h3 += h3;
h4 += h4;
h5 += h5;
h6 += h6;
h7 += h7;
h8 += h8;
h9 += h9;
carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits;
carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits;
carry1 = h1 + (1 << 24); h2 += carry1 >> 25; h1 -= carry1 & kTop39Bits;
carry5 = h5 + (1 << 24); h6 += carry5 >> 25; h5 -= carry5 & kTop39Bits;
carry2 = h2 + (1 << 25); h3 += carry2 >> 26; h2 -= carry2 & kTop38Bits;
carry6 = h6 + (1 << 25); h7 += carry6 >> 26; h6 -= carry6 & kTop38Bits;
carry3 = h3 + (1 << 24); h4 += carry3 >> 25; h3 -= carry3 & kTop39Bits;
carry7 = h7 + (1 << 24); h8 += carry7 >> 25; h7 -= carry7 & kTop39Bits;
carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits;
carry8 = h8 + (1 << 25); h9 += carry8 >> 26; h8 -= carry8 & kTop38Bits;
carry9 = h9 + (1 << 24); h0 += (carry9 >> 25) * 19; h9 -= carry9 & kTop39Bits;
carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits;
h[0] = (int32_t)h0;
h[1] = (int32_t)h1;
h[2] = (int32_t)h2;
h[3] = (int32_t)h3;
h[4] = (int32_t)h4;
h[5] = (int32_t)h5;
h[6] = (int32_t)h6;
h[7] = (int32_t)h7;
h[8] = (int32_t)h8;
h[9] = (int32_t)h9;
}
static void fe_pow22523(fe out, const fe z)
{
fe t0;
fe t1;
fe t2;
int i;
fe_sq(t0, z);
fe_sq(t1, t0);
for (i = 1; i < 2; ++i) {
fe_sq(t1, t1);
}
fe_mul(t1, z, t1);
fe_mul(t0, t0, t1);
fe_sq(t0, t0);
fe_mul(t0, t1, t0);
fe_sq(t1, t0);
for (i = 1; i < 5; ++i) {
fe_sq(t1, t1);
}
fe_mul(t0, t1, t0);
fe_sq(t1, t0);
for (i = 1; i < 10; ++i) {
fe_sq(t1, t1);
}
fe_mul(t1, t1, t0);
fe_sq(t2, t1);
for (i = 1; i < 20; ++i) {
fe_sq(t2, t2);
}
fe_mul(t1, t2, t1);
fe_sq(t1, t1);
for (i = 1; i < 10; ++i) {
fe_sq(t1, t1);
}
fe_mul(t0, t1, t0);
fe_sq(t1, t0);
for (i = 1; i < 50; ++i) {
fe_sq(t1, t1);
}
fe_mul(t1, t1, t0);
fe_sq(t2, t1);
for (i = 1; i < 100; ++i) {
fe_sq(t2, t2);
}
fe_mul(t1, t2, t1);
fe_sq(t1, t1);
for (i = 1; i < 50; ++i) {
fe_sq(t1, t1);
}
fe_mul(t0, t1, t0);
fe_sq(t0, t0);
for (i = 1; i < 2; ++i) {
fe_sq(t0, t0);
}
fe_mul(out, t0, z);
}
/*
* ge means group element.
*
* Here the group is the set of pairs (x,y) of field elements (see fe.h)
* satisfying -x^2 + y^2 = 1 + d x^2y^2
* where d = -121665/121666.
*
* Representations:
* ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z
* ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT
* ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T
* ge_precomp (Duif): (y+x,y-x,2dxy)
*/
typedef struct {
fe X;
fe Y;
fe Z;
} ge_p2;
typedef struct {
fe X;
fe Y;
fe Z;
fe T;
} ge_p3;
typedef struct {
fe X;
fe Y;
fe Z;
fe T;
} ge_p1p1;
typedef struct {
fe yplusx;
fe yminusx;
fe xy2d;
} ge_precomp;
typedef struct {
fe YplusX;
fe YminusX;
fe Z;
fe T2d;
} ge_cached;
static void ge_tobytes(uint8_t *s, const ge_p2 *h)
{
fe recip;
fe x;
fe y;
fe_invert(recip, h->Z);
fe_mul(x, h->X, recip);
fe_mul(y, h->Y, recip);
fe_tobytes(s, y);
s[31] ^= fe_isnegative(x) << 7;
}
static void ge_p3_tobytes(uint8_t *s, const ge_p3 *h)
{
fe recip;
fe x;
fe y;
fe_invert(recip, h->Z);
fe_mul(x, h->X, recip);
fe_mul(y, h->Y, recip);
fe_tobytes(s, y);
s[31] ^= fe_isnegative(x) << 7;
}
static const fe d = {
-10913610, 13857413, -15372611, 6949391, 114729,
-8787816, -6275908, -3247719, -18696448, -12055116
};
static const fe sqrtm1 = {
-32595792, -7943725, 9377950, 3500415, 12389472,
-272473, -25146209, -2005654, 326686, 11406482
};
static int ge_frombytes_vartime(ge_p3 *h, const uint8_t *s)
{
fe u;
fe v;
fe w;
fe vxx;
fe check;
fe_frombytes(h->Y, s);
fe_1(h->Z);
fe_sq(u, h->Y);
fe_mul(v, u, d);
fe_sub(u, u, h->Z); /* u = y^2-1 */
fe_add(v, v, h->Z); /* v = dy^2+1 */
fe_mul(w, u, v); /* w = u*v */
fe_pow22523(h->X, w); /* x = w^((q-5)/8) */
fe_mul(h->X, h->X, u); /* x = u * w^((q-5)/8) */
fe_sq(vxx, h->X);
fe_mul(vxx, vxx, v);
fe_sub(check, vxx, u); /* vx^2-u */
if (fe_isnonzero(check)) {
fe_add(check, vxx, u); /* vx^2+u */
if (fe_isnonzero(check)) {
return -1;
}
fe_mul(h->X, h->X, sqrtm1);
}
if (fe_isnegative(h->X) != (s[31] >> 7)) {
fe_neg(h->X, h->X);
}
fe_mul(h->T, h->X, h->Y);
return 0;
}
static void ge_p2_0(ge_p2 *h)
{
fe_0(h->X);
fe_1(h->Y);
fe_1(h->Z);
}
static void ge_p3_0(ge_p3 *h)
{
fe_0(h->X);
fe_1(h->Y);
fe_1(h->Z);
fe_0(h->T);
}
static void ge_precomp_0(ge_precomp *h)
{
fe_1(h->yplusx);
fe_1(h->yminusx);
fe_0(h->xy2d);
}
/* r = p */
static void ge_p3_to_p2(ge_p2 *r, const ge_p3 *p)
{
fe_copy(r->X, p->X);
fe_copy(r->Y, p->Y);
fe_copy(r->Z, p->Z);
}
static const fe d2 = {
-21827239, -5839606, -30745221, 13898782, 229458,
15978800, -12551817, -6495438, 29715968, 9444199
};
/* r = p */
static void ge_p3_to_cached(ge_cached *r, const ge_p3 *p)
{
fe_add(r->YplusX, p->Y, p->X);
fe_sub(r->YminusX, p->Y, p->X);
fe_copy(r->Z, p->Z);
fe_mul(r->T2d, p->T, d2);
}
/* r = p */
static void ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p)
{
fe_mul(r->X, p->X, p->T);
fe_mul(r->Y, p->Y, p->Z);
fe_mul(r->Z, p->Z, p->T);
}
/* r = p */
static void ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p)
{
fe_mul(r->X, p->X, p->T);
fe_mul(r->Y, p->Y, p->Z);
fe_mul(r->Z, p->Z, p->T);
fe_mul(r->T, p->X, p->Y);
}
/* r = 2 * p */
static void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p)
{
fe t0;
fe_sq(r->X, p->X);
fe_sq(r->Z, p->Y);
fe_sq2(r->T, p->Z);
fe_add(r->Y, p->X, p->Y);
fe_sq(t0, r->Y);
fe_add(r->Y, r->Z, r->X);
fe_sub(r->Z, r->Z, r->X);
fe_sub(r->X, t0, r->Y);
fe_sub(r->T, r->T, r->Z);
}
/* r = 2 * p */
static void ge_p3_dbl(ge_p1p1 *r, const ge_p3 *p)
{
ge_p2 q;
ge_p3_to_p2(&q, p);
ge_p2_dbl(r, &q);
}
/* r = p + q */
static void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q)
{
fe t0;
fe_add(r->X, p->Y, p->X);
fe_sub(r->Y, p->Y, p->X);
fe_mul(r->Z, r->X, q->yplusx);
fe_mul(r->Y, r->Y, q->yminusx);
fe_mul(r->T, q->xy2d, p->T);
fe_add(t0, p->Z, p->Z);
fe_sub(r->X, r->Z, r->Y);
fe_add(r->Y, r->Z, r->Y);
fe_add(r->Z, t0, r->T);
fe_sub(r->T, t0, r->T);
}
/* r = p - q */
static void ge_msub(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q)
{
fe t0;
fe_add(r->X, p->Y, p->X);
fe_sub(r->Y, p->Y, p->X);
fe_mul(r->Z, r->X, q->yminusx);
fe_mul(r->Y, r->Y, q->yplusx);
fe_mul(r->T, q->xy2d, p->T);
fe_add(t0, p->Z, p->Z);
fe_sub(r->X, r->Z, r->Y);
fe_add(r->Y, r->Z, r->Y);
fe_sub(r->Z, t0, r->T);
fe_add(r->T, t0, r->T);
}
/* r = p + q */
static void ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q)
{
fe t0;
fe_add(r->X, p->Y, p->X);
fe_sub(r->Y, p->Y, p->X);
fe_mul(r->Z, r->X, q->YplusX);
fe_mul(r->Y, r->Y, q->YminusX);
fe_mul(r->T, q->T2d, p->T);
fe_mul(r->X, p->Z, q->Z);
fe_add(t0, r->X, r->X);
fe_sub(r->X, r->Z, r->Y);
fe_add(r->Y, r->Z, r->Y);
fe_add(r->Z, t0, r->T);
fe_sub(r->T, t0, r->T);
}
/* r = p - q */
static void ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q)
{
fe t0;
fe_add(r->X, p->Y, p->X);
fe_sub(r->Y, p->Y, p->X);
fe_mul(r->Z, r->X, q->YminusX);
fe_mul(r->Y, r->Y, q->YplusX);
fe_mul(r->T, q->T2d, p->T);
fe_mul(r->X, p->Z, q->Z);
fe_add(t0, r->X, r->X);
fe_sub(r->X, r->Z, r->Y);
fe_add(r->Y, r->Z, r->Y);
fe_sub(r->Z, t0, r->T);
fe_add(r->T, t0, r->T);
}
static uint8_t equal(signed char b, signed char c)
{
uint8_t ub = b;
uint8_t uc = c;
uint8_t x = ub ^ uc; /* 0: yes; 1..255: no */
uint32_t y = x; /* 0: yes; 1..255: no */
y -= 1; /* 4294967295: yes; 0..254: no */
y >>= 31; /* 1: yes; 0: no */
return y;
}
static void cmov(ge_precomp *t, const ge_precomp *u, uint8_t b)
{
fe_cmov(t->yplusx, u->yplusx, b);
fe_cmov(t->yminusx, u->yminusx, b);
fe_cmov(t->xy2d, u->xy2d, b);
}
/* k25519Precomp[i][j] = (j+1)*256^i*B */
static const ge_precomp k25519Precomp[32][8] = {
{
{
{25967493, -14356035, 29566456, 3660896, -12694345, 4014787,
27544626, -11754271, -6079156, 2047605},
{-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692,
5043384, 19500929, -15469378},
{-8738181, 4489570, 9688441, -14785194, 10184609, -12363380,
29287919, 11864899, -24514362, -4438546},
},
{
{-12815894, -12976347, -21581243, 11784320, -25355658, -2750717,
-11717903, -3814571, -358445, -10211303},
{-21703237, 6903825, 27185491, 6451973, -29577724, -9554005,
-15616551, 11189268, -26829678, -5319081},
{26966642, 11152617, 32442495, 15396054, 14353839, -12752335,
-3128826, -9541118, -15472047, -4166697},
},
{
{15636291, -9688557, 24204773, -7912398, 616977, -16685262,
27787600, -14772189, 28944400, -1550024},
{16568933, 4717097, -11556148, -1102322, 15682896, -11807043,
16354577, -11775962, 7689662, 11199574},
{30464156, -5976125, -11779434, -15670865, 23220365, 15915852,
7512774, 10017326, -17749093, -9920357},
},
{
{-17036878, 13921892, 10945806, -6033431, 27105052, -16084379,
-28926210, 15006023, 3284568, -6276540},
{23599295, -8306047, -11193664, -7687416, 13236774, 10506355,
7464579, 9656445, 13059162, 10374397},
{7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664,
-3839045, -641708, -101325},
},
{
{10861363, 11473154, 27284546, 1981175, -30064349, 12577861,
32867885, 14515107, -15438304, 10819380},
{4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668,
12483688, -12668491, 5581306},
{19563160, 16186464, -29386857, 4097519, 10237984, -4348115,
28542350, 13850243, -23678021, -15815942},
},
{
{-15371964, -12862754, 32573250, 4720197, -26436522, 5875511,
-19188627, -15224819, -9818940, -12085777},
{-8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240,
-15689887, 1762328, 14866737},
{-18199695, -15951423, -10473290, 1707278, -17185920, 3916101,
-28236412, 3959421, 27914454, 4383652},
},
{
{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852,
5230134, -23952439, -15175766},
{-30269007, -3463509, 7665486, 10083793, 28475525, 1649722,
20654025, 16520125, 30598449, 7715701},
{28881845, 14381568, 9657904, 3680757, -20181635, 7843316,
-31400660, 1370708, 29794553, -1409300},
},
{
{14499471, -2729599, -33191113, -4254652, 28494862, 14271267,
30290735, 10876454, -33154098, 2381726},
{-7195431, -2655363, -14730155, 462251, -27724326, 3941372,
-6236617, 3696005, -32300832, 15351955},
{27431194, 8222322, 16448760, -3907995, -18707002, 11938355,
-32961401, -2970515, 29551813, 10109425},
},
},
{
{
{-13657040, -13155431, -31283750, 11777098, 21447386, 6519384,
-2378284, -1627556, 10092783, -4764171},
{27939166, 14210322, 4677035, 16277044, -22964462, -12398139,
-32508754, 12005538, -17810127, 12803510},
{17228999, -15661624, -1233527, 300140, -1224870, -11714777,
30364213, -9038194, 18016357, 4397660},
},
{
{-10958843, -7690207, 4776341, -14954238, 27850028, -15602212,
-26619106, 14544525, -17477504, 982639},
{29253598, 15796703, -2863982, -9908884, 10057023, 3163536, 7332899,
-4120128, -21047696, 9934963},
{5793303, 16271923, -24131614, -10116404, 29188560, 1206517,
-14747930, 4559895, -30123922, -10897950},
},
{
{-27643952, -11493006, 16282657, -11036493, 28414021, -15012264,
24191034, 4541697, -13338309, 5500568},
{12650548, -1497113, 9052871, 11355358, -17680037, -8400164,
-17430592, 12264343, 10874051, 13524335},
{25556948, -3045990, 714651, 2510400, 23394682, -10415330, 33119038,
5080568, -22528059, 5376628},
},
{
{-26088264, -4011052, -17013699, -3537628, -6726793, 1920897,
-22321305, -9447443, 4535768, 1569007},
{-2255422, 14606630, -21692440, -8039818, 28430649, 8775819,
-30494562, 3044290, 31848280, 12543772},
{-22028579, 2943893, -31857513, 6777306, 13784462, -4292203,
-27377195, -2062731, 7718482, 14474653},
},
{
{2385315, 2454213, -22631320, 46603, -4437935, -15680415, 656965,
-7236665, 24316168, -5253567},
{13741529, 10911568, -33233417, -8603737, -20177830, -1033297,
33040651, -13424532, -20729456, 8321686},
{21060490, -2212744, 15712757, -4336099, 1639040, 10656336,
23845965, -11874838, -9984458, 608372},
},
{
{-13672732, -15087586, -10889693, -7557059, -6036909, 11305547,
1123968, -6780577, 27229399, 23887},
{-23244140, -294205, -11744728, 14712571, -29465699, -2029617,
12797024, -6440308, -1633405, 16678954},
{-29500620, 4770662, -16054387, 14001338, 7830047, 9564805,
-1508144, -4795045, -17169265, 4904953},
},
{
{24059557, 14617003, 19037157, -15039908, 19766093, -14906429,
5169211, 16191880, 2128236, -4326833},
{-16981152, 4124966, -8540610, -10653797, 30336522, -14105247,
-29806336, 916033, -6882542, -2986532},
{-22630907, 12419372, -7134229, -7473371, -16478904, 16739175,
285431, 2763829, 15736322, 4143876},
},
{
{2379352, 11839345, -4110402, -5988665, 11274298, 794957, 212801,
-14594663, 23527084, -16458268},
{33431127, -11130478, -17838966, -15626900, 8909499, 8376530,
-32625340, 4087881, -15188911, -14416214},
{1767683, 7197987, -13205226, -2022635, -13091350, 448826, 5799055,
4357868, -4774191, -16323038},
},
},
{
{
{6721966, 13833823, -23523388, -1551314, 26354293, -11863321,
23365147, -3949732, 7390890, 2759800},
{4409041, 2052381, 23373853, 10530217, 7676779, -12885954, 21302353,
-4264057, 1244380, -12919645},
{-4421239, 7169619, 4982368, -2957590, 30256825, -2777540, 14086413,
9208236, 15886429, 16489664},
},
{
{1996075, 10375649, 14346367, 13311202, -6874135, -16438411,
-13693198, 398369, -30606455, -712933},
{-25307465, 9795880, -2777414, 14878809, -33531835, 14780363,
13348553, 12076947, -30836462, 5113182},
{-17770784, 11797796, 31950843, 13929123, -25888302, 12288344,
-30341101, -7336386, 13847711, 5387222},
},
{
{-18582163, -3416217, 17824843, -2340966, 22744343, -10442611,
8763061, 3617786, -19600662, 10370991},
{20246567, -14369378, 22358229, -543712, 18507283, -10413996,
14554437, -8746092, 32232924, 16763880},
{9648505, 10094563, 26416693, 14745928, -30374318, -6472621,
11094161, 15689506, 3140038, -16510092},
},
{
{-16160072, 5472695, 31895588, 4744994, 8823515, 10365685,
-27224800, 9448613, -28774454, 366295},
{19153450, 11523972, -11096490, -6503142, -24647631, 5420647,
28344573, 8041113, 719605, 11671788},
{8678025, 2694440, -6808014, 2517372, 4964326, 11152271, -15432916,
-15266516, 27000813, -10195553},
},
{
{-15157904, 7134312, 8639287, -2814877, -7235688, 10421742, 564065,
5336097, 6750977, -14521026},
{11836410, -3979488, 26297894, 16080799, 23455045, 15735944,
1695823, -8819122, 8169720, 16220347},
{-18115838, 8653647, 17578566, -6092619, -8025777, -16012763,
-11144307, -2627664, -5990708, -14166033},
},
{
{-23308498, -10968312, 15213228, -10081214, -30853605, -11050004,
27884329, 2847284, 2655861, 1738395},
{-27537433, -14253021, -25336301, -8002780, -9370762, 8129821,
21651608, -3239336, -19087449, -11005278},
{1533110, 3437855, 23735889, 459276, 29970501, 11335377, 26030092,
5821408, 10478196, 8544890},
},
{
{32173121, -16129311, 24896207, 3921497, 22579056, -3410854,
19270449, 12217473, 17789017, -3395995},
{-30552961, -2228401, -15578829, -10147201, 13243889, 517024,
15479401, -3853233, 30460520, 1052596},
{-11614875, 13323618, 32618793, 8175907, -15230173, 12596687,
27491595, -4612359, 3179268, -9478891},
},
{
{31947069, -14366651, -4640583, -15339921, -15125977, -6039709,
-14756777, -16411740, 19072640, -9511060},
{11685058, 11822410, 3158003, -13952594, 33402194, -4165066,
5977896, -5215017, 473099, 5040608},
{-20290863, 8198642, -27410132, 11602123, 1290375, -2799760,
28326862, 1721092, -19558642, -3131606},
},
},
{
{
{7881532, 10687937, 7578723, 7738378, -18951012, -2553952, 21820786,
8076149, -27868496, 11538389},
{-19935666, 3899861, 18283497, -6801568, -15728660, -11249211,
8754525, 7446702, -5676054, 5797016},
{-11295600, -3793569, -15782110, -7964573, 12708869, -8456199,
2014099, -9050574, -2369172, -5877341},
},
{
{-22472376, -11568741, -27682020, 1146375, 18956691, 16640559,
1192730, -3714199, 15123619, 10811505},
{14352098, -3419715, -18942044, 10822655, 32750596, 4699007, -70363,
15776356, -28886779, -11974553},
{-28241164, -8072475, -4978962, -5315317, 29416931, 1847569,
-20654173, -16484855, 4714547, -9600655},
},
{
{15200332, 8368572, 19679101, 15970074, -31872674, 1959451,
24611599, -4543832, -11745876, 12340220},
{12876937, -10480056, 33134381, 6590940, -6307776, 14872440,
9613953, 8241152, 15370987, 9608631},
{-4143277, -12014408, 8446281, -391603, 4407738, 13629032, -7724868,
15866074, -28210621, -8814099},
},
{
{26660628, -15677655, 8393734, 358047, -7401291, 992988, -23904233,
858697, 20571223, 8420556},
{14620715, 13067227, -15447274, 8264467, 14106269, 15080814,
33531827, 12516406, -21574435, -12476749},
{236881, 10476226, 57258, -14677024, 6472998, 2466984, 17258519,
7256740, 8791136, 15069930},
},
{
{1276410, -9371918, 22949635, -16322807, -23493039, -5702186,
14711875, 4874229, -30663140, -2331391},
{5855666, 4990204, -13711848, 7294284, -7804282, 1924647, -1423175,
-7912378, -33069337, 9234253},
{20590503, -9018988, 31529744, -7352666, -2706834, 10650548,
31559055, -11609587, 18979186, 13396066},
},
{
{24474287, 4968103, 22267082, 4407354, 24063882, -8325180,
-18816887, 13594782, 33514650, 7021958},
{-11566906, -6565505, -21365085, 15928892, -26158305, 4315421,
-25948728, -3916677, -21480480, 12868082},
{-28635013, 13504661, 19988037, -2132761, 21078225, 6443208,
-21446107, 2244500, -12455797, -8089383},
},
{
{-30595528, 13793479, -5852820, 319136, -25723172, -6263899,
33086546, 8957937, -15233648, 5540521},
{-11630176, -11503902, -8119500, -7643073, 2620056, 1022908,
-23710744, -1568984, -16128528, -14962807},
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{13054562, -2779497, 19155474, 469045, -12482797, 4566042, 5631406,
2711395, 1062915, -5136345},
{-19240248, -11254599, -29509029, -7499965, -5835763, 13005411,
-6066489, 12194497, 32960380, 1459310},
},
},
{
{
{19852034, 7027924, 23669353, 10020366, 8586503, -6657907, 394197,
-6101885, 18638003, -11174937},
{31395534, 15098109, 26581030, 8030562, -16527914, -5007134,
9012486, -7584354, -6643087, -5442636},
{-9192165, -2347377, -1997099, 4529534, 25766844, 607986, -13222,
9677543, -32294889, -6456008},
},
{
{-2444496, -149937, 29348902, 8186665, 1873760, 12489863, -30934579,
-7839692, -7852844, -8138429},
{-15236356, -15433509, 7766470, 746860, 26346930, -10221762,
-27333451, 10754588, -9431476, 5203576},
{31834314, 14135496, -770007, 5159118, 20917671, -16768096,
-7467973, -7337524, 31809243, 7347066},
},
{
{-9606723, -11874240, 20414459, 13033986, 13716524, -11691881,
19797970, -12211255, 15192876, -2087490},
{-12663563, -2181719, 1168162, -3804809, 26747877, -14138091,
10609330, 12694420, 33473243, -13382104},
{33184999, 11180355, 15832085, -11385430, -1633671, 225884,
15089336, -11023903, -6135662, 14480053},
},
{
{31308717, -5619998, 31030840, -1897099, 15674547, -6582883,
5496208, 13685227, 27595050, 8737275},
{-20318852, -15150239, 10933843, -16178022, 8335352, -7546022,
-31008351, -12610604, 26498114, 66511},
{22644454, -8761729, -16671776, 4884562, -3105614, -13559366,
30540766, -4286747, -13327787, -7515095},
},
{
{-28017847, 9834845, 18617207, -2681312, -3401956, -13307506,
8205540, 13585437, -17127465, 15115439},
{23711543, -672915, 31206561, -8362711, 6164647, -9709987,
-33535882, -1426096, 8236921, 16492939},
{-23910559, -13515526, -26299483, -4503841, 25005590, -7687270,
19574902, 10071562, 6708380, -6222424},
},
{
{2101391, -4930054, 19702731, 2367575, -15427167, 1047675, 5301017,
9328700, 29955601, -11678310},
{3096359, 9271816, -21620864, -15521844, -14847996, -7592937,
-25892142, -12635595, -9917575, 6216608},
{-32615849, 338663, -25195611, 2510422, -29213566, -13820213,
24822830, -6146567, -26767480, 7525079},
},
{
{-23066649, -13985623, 16133487, -7896178, -3389565, 778788,
-910336, -2782495, -19386633, 11994101},
{21691500, -13624626, -641331, -14367021, 3285881, -3483596,
-25064666, 9718258, -7477437, 13381418},
{18445390, -4202236, 14979846, 11622458, -1727110, -3582980,
23111648, -6375247, 28535282, 15779576},
},
{
{30098053, 3089662, -9234387, 16662135, -21306940, 11308411,
-14068454, 12021730, 9955285, -16303356},
{9734894, -14576830, -7473633, -9138735, 2060392, 11313496,
-18426029, 9924399, 20194861, 13380996},
{-26378102, -7965207, -22167821, 15789297, -18055342, -6168792,
-1984914, 15707771, 26342023, 10146099},
},
},
{
{
{-26016874, -219943, 21339191, -41388, 19745256, -2878700,
-29637280, 2227040, 21612326, -545728},
{-13077387, 1184228, 23562814, -5970442, -20351244, -6348714,
25764461, 12243797, -20856566, 11649658},
{-10031494, 11262626, 27384172, 2271902, 26947504, -15997771, 39944,
6114064, 33514190, 2333242},
},
{
{-21433588, -12421821, 8119782, 7219913, -21830522, -9016134,
-6679750, -12670638, 24350578, -13450001},
{-4116307, -11271533, -23886186, 4843615, -30088339, 690623,
-31536088, -10406836, 8317860, 12352766},
{18200138, -14475911, -33087759, -2696619, -23702521, -9102511,
-23552096, -2287550, 20712163, 6719373},
},
{
{26656208, 6075253, -7858556, 1886072, -28344043, 4262326, 11117530,
-3763210, 26224235, -3297458},
{-17168938, -14854097, -3395676, -16369877, -19954045, 14050420,
21728352, 9493610, 18620611, -16428628},
{-13323321, 13325349, 11432106, 5964811, 18609221, 6062965,
-5269471, -9725556, -30701573, -16479657},
},
{
{-23860538, -11233159, 26961357, 1640861, -32413112, -16737940,
12248509, -5240639, 13735342, 1934062},
{25089769, 6742589, 17081145, -13406266, 21909293, -16067981,
-15136294, -3765346, -21277997, 5473616},
{31883677, -7961101, 1083432, -11572403, 22828471, 13290673,
-7125085, 12469656, 29111212, -5451014},
},
{
{24244947, -15050407, -26262976, 2791540, -14997599, 16666678,
24367466, 6388839, -10295587, 452383},
{-25640782, -3417841, 5217916, 16224624, 19987036, -4082269,
-24236251, -5915248, 15766062, 8407814},
{-20406999, 13990231, 15495425, 16395525, 5377168, 15166495,
-8917023, -4388953, -8067909, 2276718},
},
{
{30157918, 12924066, -17712050, 9245753, 19895028, 3368142,
-23827587, 5096219, 22740376, -7303417},
{2041139, -14256350, 7783687, 13876377, -25946985, -13352459,
24051124, 13742383, -15637599, 13295222},
{33338237, -8505733, 12532113, 7977527, 9106186, -1715251,
-17720195, -4612972, -4451357, -14669444},
},
{
{-20045281, 5454097, -14346548, 6447146, 28862071, 1883651,
-2469266, -4141880, 7770569, 9620597},
{23208068, 7979712, 33071466, 8149229, 1758231, -10834995, 30945528,
-1694323, -33502340, -14767970},
{1439958, -16270480, -1079989, -793782, 4625402, 10647766, -5043801,
1220118, 30494170, -11440799},
},
{
{-5037580, -13028295, -2970559, -3061767, 15640974, -6701666,
-26739026, 926050, -1684339, -13333647},
{13908495, -3549272, 30919928, -6273825, -21521863, 7989039,
9021034, 9078865, 3353509, 4033511},
{-29663431, -15113610, 32259991, -344482, 24295849, -12912123,
23161163, 8839127, 27485041, 7356032},
},
},
{
{
{9661027, 705443, 11980065, -5370154, -1628543, 14661173, -6346142,
2625015, 28431036, -16771834},
{-23839233, -8311415, -25945511, 7480958, -17681669, -8354183,
-22545972, 14150565, 15970762, 4099461},
{29262576, 16756590, 26350592, -8793563, 8529671, -11208050,
13617293, -9937143, 11465739, 8317062},
},
{
{-25493081, -6962928, 32500200, -9419051, -23038724, -2302222,
14898637, 3848455, 20969334, -5157516},
{-20384450, -14347713, -18336405, 13884722, -33039454, 2842114,
-21610826, -3649888, 11177095, 14989547},
{-24496721, -11716016, 16959896, 2278463, 12066309, 10137771,
13515641, 2581286, -28487508, 9930240},
},
{
{-17751622, -2097826, 16544300, -13009300, -15914807, -14949081,
18345767, -13403753, 16291481, -5314038},
{-33229194, 2553288, 32678213, 9875984, 8534129, 6889387, -9676774,
6957617, 4368891, 9788741},
{16660756, 7281060, -10830758, 12911820, 20108584, -8101676,
-21722536, -8613148, 16250552, -11111103},
},
{
{-19765507, 2390526, -16551031, 14161980, 1905286, 6414907, 4689584,
10604807, -30190403, 4782747},
{-1354539, 14736941, -7367442, -13292886, 7710542, -14155590,
-9981571, 4383045, 22546403, 437323},
{31665577, -12180464, -16186830, 1491339, -18368625, 3294682,
27343084, 2786261, -30633590, -14097016},
},
{
{-14467279, -683715, -33374107, 7448552, 19294360, 14334329,
-19690631, 2355319, -19284671, -6114373},
{15121312, -15796162, 6377020, -6031361, -10798111, -12957845,
18952177, 15496498, -29380133, 11754228},
{-2637277, -13483075, 8488727, -14303896, 12728761, -1622493,
7141596, 11724556, 22761615, -10134141},
},
{
{16918416, 11729663, -18083579, 3022987, -31015732, -13339659,
-28741185, -12227393, 32851222, 11717399},
{11166634, 7338049, -6722523, 4531520, -29468672, -7302055,
31474879, 3483633, -1193175, -4030831},
{-185635, 9921305, 31456609, -13536438, -12013818, 13348923,
33142652, 6546660, -19985279, -3948376},
},
{
{-32460596, 11266712, -11197107, -7899103, 31703694, 3855903,
-8537131, -12833048, -30772034, -15486313},
{-18006477, 12709068, 3991746, -6479188, -21491523, -10550425,
-31135347, -16049879, 10928917, 3011958},
{-6957757, -15594337, 31696059, 334240, 29576716, 14796075,
-30831056, -12805180, 18008031, 10258577},
},
{
{-22448644, 15655569, 7018479, -4410003, -30314266, -1201591,
-1853465, 1367120, 25127874, 6671743},
{29701166, -14373934, -10878120, 9279288, -17568, 13127210,
21382910, 11042292, 25838796, 4642684},
{-20430234, 14955537, -24126347, 8124619, -5369288, -5990470,
30468147, -13900640, 18423289, 4177476},
},
},
};
static uint8_t negative(signed char b)
{
uint32_t x = b;
x >>= 31; /* 1: yes; 0: no */
return x;
}
static void table_select(ge_precomp *t, int pos, signed char b)
{
ge_precomp minust;
uint8_t bnegative = negative(b);
uint8_t babs = b - ((uint8_t)((-bnegative) & b) << 1);
ge_precomp_0(t);
cmov(t, &k25519Precomp[pos][0], equal(babs, 1));
cmov(t, &k25519Precomp[pos][1], equal(babs, 2));
cmov(t, &k25519Precomp[pos][2], equal(babs, 3));
cmov(t, &k25519Precomp[pos][3], equal(babs, 4));
cmov(t, &k25519Precomp[pos][4], equal(babs, 5));
cmov(t, &k25519Precomp[pos][5], equal(babs, 6));
cmov(t, &k25519Precomp[pos][6], equal(babs, 7));
cmov(t, &k25519Precomp[pos][7], equal(babs, 8));
fe_copy(minust.yplusx, t->yminusx);
fe_copy(minust.yminusx, t->yplusx);
fe_neg(minust.xy2d, t->xy2d);
cmov(t, &minust, bnegative);
}
/*
* h = a * B
*
* where a = a[0]+256*a[1]+...+256^31 a[31]
* B is the Ed25519 base point (x,4/5) with x positive.
*
* Preconditions:
* a[31] <= 127
*/
static void ge_scalarmult_base(ge_p3 *h, const uint8_t *a)
{
signed char e[64];
signed char carry;
ge_p1p1 r;
ge_p2 s;
ge_precomp t;
int i;
for (i = 0; i < 32; ++i) {
e[2 * i + 0] = (a[i] >> 0) & 15;
e[2 * i + 1] = (a[i] >> 4) & 15;
}
/* each e[i] is between 0 and 15 */
/* e[63] is between 0 and 7 */
carry = 0;
for (i = 0; i < 63; ++i) {
e[i] += carry;
carry = e[i] + 8;
carry >>= 4;
e[i] -= carry << 4;
}
e[63] += carry;
/* each e[i] is between -8 and 8 */
ge_p3_0(h);
for (i = 1; i < 64; i += 2) {
table_select(&t, i / 2, e[i]);
ge_madd(&r, h, &t);
ge_p1p1_to_p3(h, &r);
}
ge_p3_dbl(&r, h);
ge_p1p1_to_p2(&s, &r);
ge_p2_dbl(&r, &s);
ge_p1p1_to_p2(&s, &r);
ge_p2_dbl(&r, &s);
ge_p1p1_to_p2(&s, &r);
ge_p2_dbl(&r, &s);
ge_p1p1_to_p3(h, &r);
for (i = 0; i < 64; i += 2) {
table_select(&t, i / 2, e[i]);
ge_madd(&r, h, &t);
ge_p1p1_to_p3(h, &r);
}
OPENSSL_cleanse(e, sizeof(e));
}
#if !defined(BASE_2_51_IMPLEMENTED)
/*
* Replace (f,g) with (g,f) if b == 1;
* replace (f,g) with (f,g) if b == 0.
*
* Preconditions: b in {0,1}.
*/
static void fe_cswap(fe f, fe g, unsigned int b)
{
size_t i;
b = 0-b;
for (i = 0; i < 10; i++) {
int32_t x = f[i] ^ g[i];
x &= b;
f[i] ^= x;
g[i] ^= x;
}
}
/*
* h = f * 121666
*
* Can overlap h with f.
*
* Preconditions:
* |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
*
* Postconditions:
* |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
*/
static void fe_mul121666(fe h, fe f)
{
int32_t f0 = f[0];
int32_t f1 = f[1];
int32_t f2 = f[2];
int32_t f3 = f[3];
int32_t f4 = f[4];
int32_t f5 = f[5];
int32_t f6 = f[6];
int32_t f7 = f[7];
int32_t f8 = f[8];
int32_t f9 = f[9];
int64_t h0 = f0 * (int64_t) 121666;
int64_t h1 = f1 * (int64_t) 121666;
int64_t h2 = f2 * (int64_t) 121666;
int64_t h3 = f3 * (int64_t) 121666;
int64_t h4 = f4 * (int64_t) 121666;
int64_t h5 = f5 * (int64_t) 121666;
int64_t h6 = f6 * (int64_t) 121666;
int64_t h7 = f7 * (int64_t) 121666;
int64_t h8 = f8 * (int64_t) 121666;
int64_t h9 = f9 * (int64_t) 121666;
int64_t carry0;
int64_t carry1;
int64_t carry2;
int64_t carry3;
int64_t carry4;
int64_t carry5;
int64_t carry6;
int64_t carry7;
int64_t carry8;
int64_t carry9;
carry9 = h9 + (1 << 24); h0 += (carry9 >> 25) * 19; h9 -= carry9 & kTop39Bits;
carry1 = h1 + (1 << 24); h2 += carry1 >> 25; h1 -= carry1 & kTop39Bits;
carry3 = h3 + (1 << 24); h4 += carry3 >> 25; h3 -= carry3 & kTop39Bits;
carry5 = h5 + (1 << 24); h6 += carry5 >> 25; h5 -= carry5 & kTop39Bits;
carry7 = h7 + (1 << 24); h8 += carry7 >> 25; h7 -= carry7 & kTop39Bits;
carry0 = h0 + (1 << 25); h1 += carry0 >> 26; h0 -= carry0 & kTop38Bits;
carry2 = h2 + (1 << 25); h3 += carry2 >> 26; h2 -= carry2 & kTop38Bits;
carry4 = h4 + (1 << 25); h5 += carry4 >> 26; h4 -= carry4 & kTop38Bits;
carry6 = h6 + (1 << 25); h7 += carry6 >> 26; h6 -= carry6 & kTop38Bits;
carry8 = h8 + (1 << 25); h9 += carry8 >> 26; h8 -= carry8 & kTop38Bits;
h[0] = (int32_t)h0;
h[1] = (int32_t)h1;
h[2] = (int32_t)h2;
h[3] = (int32_t)h3;
h[4] = (int32_t)h4;
h[5] = (int32_t)h5;
h[6] = (int32_t)h6;
h[7] = (int32_t)h7;
h[8] = (int32_t)h8;
h[9] = (int32_t)h9;
}
static void x25519_scalar_mult_generic(uint8_t out[32],
const uint8_t scalar[32],
const uint8_t point[32]) {
fe x1, x2, z2, x3, z3, tmp0, tmp1;
uint8_t e[32];
unsigned swap = 0;
int pos;
memcpy(e, scalar, 32);
e[0] &= 248;
e[31] &= 127;
e[31] |= 64;
fe_frombytes(x1, point);
fe_1(x2);
fe_0(z2);
fe_copy(x3, x1);
fe_1(z3);
for (pos = 254; pos >= 0; --pos) {
unsigned b = 1 & (e[pos / 8] >> (pos & 7));
swap ^= b;
fe_cswap(x2, x3, swap);
fe_cswap(z2, z3, swap);
swap = b;
fe_sub(tmp0, x3, z3);
fe_sub(tmp1, x2, z2);
fe_add(x2, x2, z2);
fe_add(z2, x3, z3);
fe_mul(z3, tmp0, x2);
fe_mul(z2, z2, tmp1);
fe_sq(tmp0, tmp1);
fe_sq(tmp1, x2);
fe_add(x3, z3, z2);
fe_sub(z2, z3, z2);
fe_mul(x2, tmp1, tmp0);
fe_sub(tmp1, tmp1, tmp0);
fe_sq(z2, z2);
fe_mul121666(z3, tmp1);
fe_sq(x3, x3);
fe_add(tmp0, tmp0, z3);
fe_mul(z3, x1, z2);
fe_mul(z2, tmp1, tmp0);
}
fe_invert(z2, z2);
fe_mul(x2, x2, z2);
fe_tobytes(out, x2);
OPENSSL_cleanse(e, sizeof(e));
}
static void x25519_scalar_mult(uint8_t out[32], const uint8_t scalar[32],
const uint8_t point[32]) {
x25519_scalar_mult_generic(out, scalar, point);
}
#endif
static void slide(signed char *r, const uint8_t *a)
{
int i;
int b;
int k;
for (i = 0; i < 256; ++i) {
r[i] = 1 & (a[i >> 3] >> (i & 7));
}
for (i = 0; i < 256; ++i) {
if (r[i]) {
for (b = 1; b <= 6 && i + b < 256; ++b) {
if (r[i + b]) {
if (r[i] + (r[i + b] << b) <= 15) {
r[i] += r[i + b] << b;
r[i + b] = 0;
} else if (r[i] - (r[i + b] << b) >= -15) {
r[i] -= r[i + b] << b;
for (k = i + b; k < 256; ++k) {
if (!r[k]) {
r[k] = 1;
break;
}
r[k] = 0;
}
} else {
break;
}
}
}
}
}
}
static const ge_precomp Bi[8] = {
{
{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626,
-11754271, -6079156, 2047605},
{-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692,
5043384, 19500929, -15469378},
{-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919,
11864899, -24514362, -4438546},
},
{
{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600,
-14772189, 28944400, -1550024},
{16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577,
-11775962, 7689662, 11199574},
{30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774,
10017326, -17749093, -9920357},
},
{
{10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885,
14515107, -15438304, 10819380},
{4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668,
12483688, -12668491, 5581306},
{19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350,
13850243, -23678021, -15815942},
},
{
{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852,
5230134, -23952439, -15175766},
{-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025,
16520125, 30598449, 7715701},
{28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660,
1370708, 29794553, -1409300},
},
{
{-22518993, -6692182, 14201702, -8745502, -23510406, 8844726, 18474211,
-1361450, -13062696, 13821877},
{-6455177, -7839871, 3374702, -4740862, -27098617, -10571707, 31655028,
-7212327, 18853322, -14220951},
{4566830, -12963868, -28974889, -12240689, -7602672, -2830569, -8514358,
-10431137, 2207753, -3209784},
},
{
{-25154831, -4185821, 29681144, 7868801, -6854661, -9423865, -12437364,
-663000, -31111463, -16132436},
{25576264, -2703214, 7349804, -11814844, 16472782, 9300885, 3844789,
15725684, 171356, 6466918},
{23103977, 13316479, 9739013, -16149481, 817875, -15038942, 8965339,
-14088058, -30714912, 16193877},
},
{
{-33521811, 3180713, -2394130, 14003687, -16903474, -16270840, 17238398,
4729455, -18074513, 9256800},
{-25182317, -4174131, 32336398, 5036987, -21236817, 11360617, 22616405,
9761698, -19827198, 630305},
{-13720693, 2639453, -24237460, -7406481, 9494427, -5774029, -6554551,
-15960994, -2449256, -14291300},
},
{
{-3151181, -5046075, 9282714, 6866145, -31907062, -863023, -18940575,
15033784, 25105118, -7894876},
{-24326370, 15950226, -31801215, -14592823, -11662737, -5090925,
1573892, -2625887, 2198790, -15804619},
{-3099351, 10324967, -2241613, 7453183, -5446979, -2735503, -13812022,
-16236442, -32461234, -12290683},
},
};
/*
* r = a * A + b * B
*
* where a = a[0]+256*a[1]+...+256^31 a[31].
* and b = b[0]+256*b[1]+...+256^31 b[31].
* B is the Ed25519 base point (x,4/5) with x positive.
*/
static void ge_double_scalarmult_vartime(ge_p2 *r, const uint8_t *a,
const ge_p3 *A, const uint8_t *b)
{
signed char aslide[256];
signed char bslide[256];
ge_cached Ai[8]; /* A,3A,5A,7A,9A,11A,13A,15A */
ge_p1p1 t;
ge_p3 u;
ge_p3 A2;
int i;
slide(aslide, a);
slide(bslide, b);
ge_p3_to_cached(&Ai[0], A);
ge_p3_dbl(&t, A);
ge_p1p1_to_p3(&A2, &t);
ge_add(&t, &A2, &Ai[0]);
ge_p1p1_to_p3(&u, &t);
ge_p3_to_cached(&Ai[1], &u);
ge_add(&t, &A2, &Ai[1]);
ge_p1p1_to_p3(&u, &t);
ge_p3_to_cached(&Ai[2], &u);
ge_add(&t, &A2, &Ai[2]);
ge_p1p1_to_p3(&u, &t);
ge_p3_to_cached(&Ai[3], &u);
ge_add(&t, &A2, &Ai[3]);
ge_p1p1_to_p3(&u, &t);
ge_p3_to_cached(&Ai[4], &u);
ge_add(&t, &A2, &Ai[4]);
ge_p1p1_to_p3(&u, &t);
ge_p3_to_cached(&Ai[5], &u);
ge_add(&t, &A2, &Ai[5]);
ge_p1p1_to_p3(&u, &t);
ge_p3_to_cached(&Ai[6], &u);
ge_add(&t, &A2, &Ai[6]);
ge_p1p1_to_p3(&u, &t);
ge_p3_to_cached(&Ai[7], &u);
ge_p2_0(r);
for (i = 255; i >= 0; --i) {
if (aslide[i] || bslide[i]) {
break;
}
}
for (; i >= 0; --i) {
ge_p2_dbl(&t, r);
if (aslide[i] > 0) {
ge_p1p1_to_p3(&u, &t);
ge_add(&t, &u, &Ai[aslide[i] / 2]);
} else if (aslide[i] < 0) {
ge_p1p1_to_p3(&u, &t);
ge_sub(&t, &u, &Ai[(-aslide[i]) / 2]);
}
if (bslide[i] > 0) {
ge_p1p1_to_p3(&u, &t);
ge_madd(&t, &u, &Bi[bslide[i] / 2]);
} else if (bslide[i] < 0) {
ge_p1p1_to_p3(&u, &t);
ge_msub(&t, &u, &Bi[(-bslide[i]) / 2]);
}
ge_p1p1_to_p2(r, &t);
}
}
/*
* The set of scalars is \Z/l
* where l = 2^252 + 27742317777372353535851937790883648493.
*
* Input:
* s[0]+256*s[1]+...+256^63*s[63] = s
*
* Output:
* s[0]+256*s[1]+...+256^31*s[31] = s mod l
* where l = 2^252 + 27742317777372353535851937790883648493.
* Overwrites s in place.
*/
static void x25519_sc_reduce(uint8_t *s)
{
int64_t s0 = kBottom21Bits & load_3(s);
int64_t s1 = kBottom21Bits & (load_4(s + 2) >> 5);
int64_t s2 = kBottom21Bits & (load_3(s + 5) >> 2);
int64_t s3 = kBottom21Bits & (load_4(s + 7) >> 7);
int64_t s4 = kBottom21Bits & (load_4(s + 10) >> 4);
int64_t s5 = kBottom21Bits & (load_3(s + 13) >> 1);
int64_t s6 = kBottom21Bits & (load_4(s + 15) >> 6);
int64_t s7 = kBottom21Bits & (load_3(s + 18) >> 3);
int64_t s8 = kBottom21Bits & load_3(s + 21);
int64_t s9 = kBottom21Bits & (load_4(s + 23) >> 5);
int64_t s10 = kBottom21Bits & (load_3(s + 26) >> 2);
int64_t s11 = kBottom21Bits & (load_4(s + 28) >> 7);
int64_t s12 = kBottom21Bits & (load_4(s + 31) >> 4);
int64_t s13 = kBottom21Bits & (load_3(s + 34) >> 1);
int64_t s14 = kBottom21Bits & (load_4(s + 36) >> 6);
int64_t s15 = kBottom21Bits & (load_3(s + 39) >> 3);
int64_t s16 = kBottom21Bits & load_3(s + 42);
int64_t s17 = kBottom21Bits & (load_4(s + 44) >> 5);
int64_t s18 = kBottom21Bits & (load_3(s + 47) >> 2);
int64_t s19 = kBottom21Bits & (load_4(s + 49) >> 7);
int64_t s20 = kBottom21Bits & (load_4(s + 52) >> 4);
int64_t s21 = kBottom21Bits & (load_3(s + 55) >> 1);
int64_t s22 = kBottom21Bits & (load_4(s + 57) >> 6);
int64_t s23 = (load_4(s + 60) >> 3);
int64_t carry0;
int64_t carry1;
int64_t carry2;
int64_t carry3;
int64_t carry4;
int64_t carry5;
int64_t carry6;
int64_t carry7;
int64_t carry8;
int64_t carry9;
int64_t carry10;
int64_t carry11;
int64_t carry12;
int64_t carry13;
int64_t carry14;
int64_t carry15;
int64_t carry16;
s11 += s23 * 666643;
s12 += s23 * 470296;
s13 += s23 * 654183;
s14 -= s23 * 997805;
s15 += s23 * 136657;
s16 -= s23 * 683901;
s23 = 0;
s10 += s22 * 666643;
s11 += s22 * 470296;
s12 += s22 * 654183;
s13 -= s22 * 997805;
s14 += s22 * 136657;
s15 -= s22 * 683901;
s22 = 0;
s9 += s21 * 666643;
s10 += s21 * 470296;
s11 += s21 * 654183;
s12 -= s21 * 997805;
s13 += s21 * 136657;
s14 -= s21 * 683901;
s21 = 0;
s8 += s20 * 666643;
s9 += s20 * 470296;
s10 += s20 * 654183;
s11 -= s20 * 997805;
s12 += s20 * 136657;
s13 -= s20 * 683901;
s20 = 0;
s7 += s19 * 666643;
s8 += s19 * 470296;
s9 += s19 * 654183;
s10 -= s19 * 997805;
s11 += s19 * 136657;
s12 -= s19 * 683901;
s19 = 0;
s6 += s18 * 666643;
s7 += s18 * 470296;
s8 += s18 * 654183;
s9 -= s18 * 997805;
s10 += s18 * 136657;
s11 -= s18 * 683901;
s18 = 0;
carry6 = (s6 + (1 << 20)) >> 21;
s7 += carry6;
s6 -= carry6 * (1 << 21);
carry8 = (s8 + (1 << 20)) >> 21;
s9 += carry8;
s8 -= carry8 * (1 << 21);
carry10 = (s10 + (1 << 20)) >> 21;
s11 += carry10;
s10 -= carry10 * (1 << 21);
carry12 = (s12 + (1 << 20)) >> 21;
s13 += carry12;
s12 -= carry12 * (1 << 21);
carry14 = (s14 + (1 << 20)) >> 21;
s15 += carry14;
s14 -= carry14 * (1 << 21);
carry16 = (s16 + (1 << 20)) >> 21;
s17 += carry16;
s16 -= carry16 * (1 << 21);
carry7 = (s7 + (1 << 20)) >> 21;
s8 += carry7;
s7 -= carry7 * (1 << 21);
carry9 = (s9 + (1 << 20)) >> 21;
s10 += carry9;
s9 -= carry9 * (1 << 21);
carry11 = (s11 + (1 << 20)) >> 21;
s12 += carry11;
s11 -= carry11 * (1 << 21);
carry13 = (s13 + (1 << 20)) >> 21;
s14 += carry13;
s13 -= carry13 * (1 << 21);
carry15 = (s15 + (1 << 20)) >> 21;
s16 += carry15;
s15 -= carry15 * (1 << 21);
s5 += s17 * 666643;
s6 += s17 * 470296;
s7 += s17 * 654183;
s8 -= s17 * 997805;
s9 += s17 * 136657;
s10 -= s17 * 683901;
s17 = 0;
s4 += s16 * 666643;
s5 += s16 * 470296;
s6 += s16 * 654183;
s7 -= s16 * 997805;
s8 += s16 * 136657;
s9 -= s16 * 683901;
s16 = 0;
s3 += s15 * 666643;
s4 += s15 * 470296;
s5 += s15 * 654183;
s6 -= s15 * 997805;
s7 += s15 * 136657;
s8 -= s15 * 683901;
s15 = 0;
s2 += s14 * 666643;
s3 += s14 * 470296;
s4 += s14 * 654183;
s5 -= s14 * 997805;
s6 += s14 * 136657;
s7 -= s14 * 683901;
s14 = 0;
s1 += s13 * 666643;
s2 += s13 * 470296;
s3 += s13 * 654183;
s4 -= s13 * 997805;
s5 += s13 * 136657;
s6 -= s13 * 683901;
s13 = 0;
s0 += s12 * 666643;
s1 += s12 * 470296;
s2 += s12 * 654183;
s3 -= s12 * 997805;
s4 += s12 * 136657;
s5 -= s12 * 683901;
s12 = 0;
carry0 = (s0 + (1 << 20)) >> 21;
s1 += carry0;
s0 -= carry0 * (1 << 21);
carry2 = (s2 + (1 << 20)) >> 21;
s3 += carry2;
s2 -= carry2 * (1 << 21);
carry4 = (s4 + (1 << 20)) >> 21;
s5 += carry4;
s4 -= carry4 * (1 << 21);
carry6 = (s6 + (1 << 20)) >> 21;
s7 += carry6;
s6 -= carry6 * (1 << 21);
carry8 = (s8 + (1 << 20)) >> 21;
s9 += carry8;
s8 -= carry8 * (1 << 21);
carry10 = (s10 + (1 << 20)) >> 21;
s11 += carry10;
s10 -= carry10 * (1 << 21);
carry1 = (s1 + (1 << 20)) >> 21;
s2 += carry1;
s1 -= carry1 * (1 << 21);
carry3 = (s3 + (1 << 20)) >> 21;
s4 += carry3;
s3 -= carry3 * (1 << 21);
carry5 = (s5 + (1 << 20)) >> 21;
s6 += carry5;
s5 -= carry5 * (1 << 21);
carry7 = (s7 + (1 << 20)) >> 21;
s8 += carry7;
s7 -= carry7 * (1 << 21);
carry9 = (s9 + (1 << 20)) >> 21;
s10 += carry9;
s9 -= carry9 * (1 << 21);
carry11 = (s11 + (1 << 20)) >> 21;
s12 += carry11;
s11 -= carry11 * (1 << 21);
s0 += s12 * 666643;
s1 += s12 * 470296;
s2 += s12 * 654183;
s3 -= s12 * 997805;
s4 += s12 * 136657;
s5 -= s12 * 683901;
s12 = 0;
carry0 = s0 >> 21;
s1 += carry0;
s0 -= carry0 * (1 << 21);
carry1 = s1 >> 21;
s2 += carry1;
s1 -= carry1 * (1 << 21);
carry2 = s2 >> 21;
s3 += carry2;
s2 -= carry2 * (1 << 21);
carry3 = s3 >> 21;
s4 += carry3;
s3 -= carry3 * (1 << 21);
carry4 = s4 >> 21;
s5 += carry4;
s4 -= carry4 * (1 << 21);
carry5 = s5 >> 21;
s6 += carry5;
s5 -= carry5 * (1 << 21);
carry6 = s6 >> 21;
s7 += carry6;
s6 -= carry6 * (1 << 21);
carry7 = s7 >> 21;
s8 += carry7;
s7 -= carry7 * (1 << 21);
carry8 = s8 >> 21;
s9 += carry8;
s8 -= carry8 * (1 << 21);
carry9 = s9 >> 21;
s10 += carry9;
s9 -= carry9 * (1 << 21);
carry10 = s10 >> 21;
s11 += carry10;
s10 -= carry10 * (1 << 21);
carry11 = s11 >> 21;
s12 += carry11;
s11 -= carry11 * (1 << 21);
s0 += s12 * 666643;
s1 += s12 * 470296;
s2 += s12 * 654183;
s3 -= s12 * 997805;
s4 += s12 * 136657;
s5 -= s12 * 683901;
s12 = 0;
carry0 = s0 >> 21;
s1 += carry0;
s0 -= carry0 * (1 << 21);
carry1 = s1 >> 21;
s2 += carry1;
s1 -= carry1 * (1 << 21);
carry2 = s2 >> 21;
s3 += carry2;
s2 -= carry2 * (1 << 21);
carry3 = s3 >> 21;
s4 += carry3;
s3 -= carry3 * (1 << 21);
carry4 = s4 >> 21;
s5 += carry4;
s4 -= carry4 * (1 << 21);
carry5 = s5 >> 21;
s6 += carry5;
s5 -= carry5 * (1 << 21);
carry6 = s6 >> 21;
s7 += carry6;
s6 -= carry6 * (1 << 21);
carry7 = s7 >> 21;
s8 += carry7;
s7 -= carry7 * (1 << 21);
carry8 = s8 >> 21;
s9 += carry8;
s8 -= carry8 * (1 << 21);
carry9 = s9 >> 21;
s10 += carry9;
s9 -= carry9 * (1 << 21);
carry10 = s10 >> 21;
s11 += carry10;
s10 -= carry10 * (1 << 21);
s[ 0] = (uint8_t) (s0 >> 0);
s[ 1] = (uint8_t) (s0 >> 8);
s[ 2] = (uint8_t)((s0 >> 16) | (s1 << 5));
s[ 3] = (uint8_t) (s1 >> 3);
s[ 4] = (uint8_t) (s1 >> 11);
s[ 5] = (uint8_t)((s1 >> 19) | (s2 << 2));
s[ 6] = (uint8_t) (s2 >> 6);
s[ 7] = (uint8_t)((s2 >> 14) | (s3 << 7));
s[ 8] = (uint8_t) (s3 >> 1);
s[ 9] = (uint8_t) (s3 >> 9);
s[10] = (uint8_t)((s3 >> 17) | (s4 << 4));
s[11] = (uint8_t) (s4 >> 4);
s[12] = (uint8_t) (s4 >> 12);
s[13] = (uint8_t)((s4 >> 20) | (s5 << 1));
s[14] = (uint8_t) (s5 >> 7);
s[15] = (uint8_t)((s5 >> 15) | (s6 << 6));
s[16] = (uint8_t) (s6 >> 2);
s[17] = (uint8_t) (s6 >> 10);
s[18] = (uint8_t)((s6 >> 18) | (s7 << 3));
s[19] = (uint8_t) (s7 >> 5);
s[20] = (uint8_t) (s7 >> 13);
s[21] = (uint8_t) (s8 >> 0);
s[22] = (uint8_t) (s8 >> 8);
s[23] = (uint8_t)((s8 >> 16) | (s9 << 5));
s[24] = (uint8_t) (s9 >> 3);
s[25] = (uint8_t) (s9 >> 11);
s[26] = (uint8_t)((s9 >> 19) | (s10 << 2));
s[27] = (uint8_t) (s10 >> 6);
s[28] = (uint8_t)((s10 >> 14) | (s11 << 7));
s[29] = (uint8_t) (s11 >> 1);
s[30] = (uint8_t) (s11 >> 9);
s[31] = (uint8_t) (s11 >> 17);
}
/*
* Input:
* a[0]+256*a[1]+...+256^31*a[31] = a
* b[0]+256*b[1]+...+256^31*b[31] = b
* c[0]+256*c[1]+...+256^31*c[31] = c
*
* Output:
* s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l
* where l = 2^252 + 27742317777372353535851937790883648493.
*/
static void sc_muladd(uint8_t *s, const uint8_t *a, const uint8_t *b,
const uint8_t *c)
{
int64_t a0 = kBottom21Bits & load_3(a);
int64_t a1 = kBottom21Bits & (load_4(a + 2) >> 5);
int64_t a2 = kBottom21Bits & (load_3(a + 5) >> 2);
int64_t a3 = kBottom21Bits & (load_4(a + 7) >> 7);
int64_t a4 = kBottom21Bits & (load_4(a + 10) >> 4);
int64_t a5 = kBottom21Bits & (load_3(a + 13) >> 1);
int64_t a6 = kBottom21Bits & (load_4(a + 15) >> 6);
int64_t a7 = kBottom21Bits & (load_3(a + 18) >> 3);
int64_t a8 = kBottom21Bits & load_3(a + 21);
int64_t a9 = kBottom21Bits & (load_4(a + 23) >> 5);
int64_t a10 = kBottom21Bits & (load_3(a + 26) >> 2);
int64_t a11 = (load_4(a + 28) >> 7);
int64_t b0 = kBottom21Bits & load_3(b);
int64_t b1 = kBottom21Bits & (load_4(b + 2) >> 5);
int64_t b2 = kBottom21Bits & (load_3(b + 5) >> 2);
int64_t b3 = kBottom21Bits & (load_4(b + 7) >> 7);
int64_t b4 = kBottom21Bits & (load_4(b + 10) >> 4);
int64_t b5 = kBottom21Bits & (load_3(b + 13) >> 1);
int64_t b6 = kBottom21Bits & (load_4(b + 15) >> 6);
int64_t b7 = kBottom21Bits & (load_3(b + 18) >> 3);
int64_t b8 = kBottom21Bits & load_3(b + 21);
int64_t b9 = kBottom21Bits & (load_4(b + 23) >> 5);
int64_t b10 = kBottom21Bits & (load_3(b + 26) >> 2);
int64_t b11 = (load_4(b + 28) >> 7);
int64_t c0 = kBottom21Bits & load_3(c);
int64_t c1 = kBottom21Bits & (load_4(c + 2) >> 5);
int64_t c2 = kBottom21Bits & (load_3(c + 5) >> 2);
int64_t c3 = kBottom21Bits & (load_4(c + 7) >> 7);
int64_t c4 = kBottom21Bits & (load_4(c + 10) >> 4);
int64_t c5 = kBottom21Bits & (load_3(c + 13) >> 1);
int64_t c6 = kBottom21Bits & (load_4(c + 15) >> 6);
int64_t c7 = kBottom21Bits & (load_3(c + 18) >> 3);
int64_t c8 = kBottom21Bits & load_3(c + 21);
int64_t c9 = kBottom21Bits & (load_4(c + 23) >> 5);
int64_t c10 = kBottom21Bits & (load_3(c + 26) >> 2);
int64_t c11 = (load_4(c + 28) >> 7);
int64_t s0;
int64_t s1;
int64_t s2;
int64_t s3;
int64_t s4;
int64_t s5;
int64_t s6;
int64_t s7;
int64_t s8;
int64_t s9;
int64_t s10;
int64_t s11;
int64_t s12;
int64_t s13;
int64_t s14;
int64_t s15;
int64_t s16;
int64_t s17;
int64_t s18;
int64_t s19;
int64_t s20;
int64_t s21;
int64_t s22;
int64_t s23;
int64_t carry0;
int64_t carry1;
int64_t carry2;
int64_t carry3;
int64_t carry4;
int64_t carry5;
int64_t carry6;
int64_t carry7;
int64_t carry8;
int64_t carry9;
int64_t carry10;
int64_t carry11;
int64_t carry12;
int64_t carry13;
int64_t carry14;
int64_t carry15;
int64_t carry16;
int64_t carry17;
int64_t carry18;
int64_t carry19;
int64_t carry20;
int64_t carry21;
int64_t carry22;
s0 = c0 + a0 * b0;
s1 = c1 + a0 * b1 + a1 * b0;
s2 = c2 + a0 * b2 + a1 * b1 + a2 * b0;
s3 = c3 + a0 * b3 + a1 * b2 + a2 * b1 + a3 * b0;
s4 = c4 + a0 * b4 + a1 * b3 + a2 * b2 + a3 * b1 + a4 * b0;
s5 = c5 + a0 * b5 + a1 * b4 + a2 * b3 + a3 * b2 + a4 * b1 + a5 * b0;
s6 = c6 + a0 * b6 + a1 * b5 + a2 * b4 + a3 * b3 + a4 * b2 + a5 * b1 + a6 * b0;
s7 = c7 + a0 * b7 + a1 * b6 + a2 * b5 + a3 * b4 + a4 * b3 + a5 * b2 + a6 * b1 + a7 * b0;
s8 = c8 + a0 * b8 + a1 * b7 + a2 * b6 + a3 * b5 + a4 * b4 + a5 * b3 + a6 * b2 + a7 * b1 + a8 * b0;
s9 = c9 + a0 * b9 + a1 * b8 + a2 * b7 + a3 * b6 + a4 * b5 + a5 * b4 + a6 * b3 + a7 * b2 + a8 * b1 + a9 * b0;
s10 = c10 + a0 * b10 + a1 * b9 + a2 * b8 + a3 * b7 + a4 * b6 + a5 * b5 + a6 * b4 + a7 * b3 + a8 * b2 + a9 * b1 + a10 * b0;
s11 = c11 + a0 * b11 + a1 * b10 + a2 * b9 + a3 * b8 + a4 * b7 + a5 * b6 + a6 * b5 + a7 * b4 + a8 * b3 + a9 * b2 + a10 * b1 + a11 * b0;
s12 = a1 * b11 + a2 * b10 + a3 * b9 + a4 * b8 + a5 * b7 + a6 * b6 + a7 * b5 + a8 * b4 + a9 * b3 + a10 * b2 + a11 * b1;
s13 = a2 * b11 + a3 * b10 + a4 * b9 + a5 * b8 + a6 * b7 + a7 * b6 + a8 * b5 + a9 * b4 + a10 * b3 + a11 * b2;
s14 = a3 * b11 + a4 * b10 + a5 * b9 + a6 * b8 + a7 * b7 + a8 * b6 + a9 * b5 + a10 * b4 + a11 * b3;
s15 = a4 * b11 + a5 * b10 + a6 * b9 + a7 * b8 + a8 * b7 + a9 * b6 + a10 * b5 + a11 * b4;
s16 = a5 * b11 + a6 * b10 + a7 * b9 + a8 * b8 + a9 * b7 + a10 * b6 + a11 * b5;
s17 = a6 * b11 + a7 * b10 + a8 * b9 + a9 * b8 + a10 * b7 + a11 * b6;
s18 = a7 * b11 + a8 * b10 + a9 * b9 + a10 * b8 + a11 * b7;
s19 = a8 * b11 + a9 * b10 + a10 * b9 + a11 * b8;
s20 = a9 * b11 + a10 * b10 + a11 * b9;
s21 = a10 * b11 + a11 * b10;
s22 = a11 * b11;
s23 = 0;
carry0 = (s0 + (1 << 20)) >> 21;
s1 += carry0;
s0 -= carry0 * (1 << 21);
carry2 = (s2 + (1 << 20)) >> 21;
s3 += carry2;
s2 -= carry2 * (1 << 21);
carry4 = (s4 + (1 << 20)) >> 21;
s5 += carry4;
s4 -= carry4 * (1 << 21);
carry6 = (s6 + (1 << 20)) >> 21;
s7 += carry6;
s6 -= carry6 * (1 << 21);
carry8 = (s8 + (1 << 20)) >> 21;
s9 += carry8;
s8 -= carry8 * (1 << 21);
carry10 = (s10 + (1 << 20)) >> 21;
s11 += carry10;
s10 -= carry10 * (1 << 21);
carry12 = (s12 + (1 << 20)) >> 21;
s13 += carry12;
s12 -= carry12 * (1 << 21);
carry14 = (s14 + (1 << 20)) >> 21;
s15 += carry14;
s14 -= carry14 * (1 << 21);
carry16 = (s16 + (1 << 20)) >> 21;
s17 += carry16;
s16 -= carry16 * (1 << 21);
carry18 = (s18 + (1 << 20)) >> 21;
s19 += carry18;
s18 -= carry18 * (1 << 21);
carry20 = (s20 + (1 << 20)) >> 21;
s21 += carry20;
s20 -= carry20 * (1 << 21);
carry22 = (s22 + (1 << 20)) >> 21;
s23 += carry22;
s22 -= carry22 * (1 << 21);
carry1 = (s1 + (1 << 20)) >> 21;
s2 += carry1;
s1 -= carry1 * (1 << 21);
carry3 = (s3 + (1 << 20)) >> 21;
s4 += carry3;
s3 -= carry3 * (1 << 21);
carry5 = (s5 + (1 << 20)) >> 21;
s6 += carry5;
s5 -= carry5 * (1 << 21);
carry7 = (s7 + (1 << 20)) >> 21;
s8 += carry7;
s7 -= carry7 * (1 << 21);
carry9 = (s9 + (1 << 20)) >> 21;
s10 += carry9;
s9 -= carry9 * (1 << 21);
carry11 = (s11 + (1 << 20)) >> 21;
s12 += carry11;
s11 -= carry11 * (1 << 21);
carry13 = (s13 + (1 << 20)) >> 21;
s14 += carry13;
s13 -= carry13 * (1 << 21);
carry15 = (s15 + (1 << 20)) >> 21;
s16 += carry15;
s15 -= carry15 * (1 << 21);
carry17 = (s17 + (1 << 20)) >> 21;
s18 += carry17;
s17 -= carry17 * (1 << 21);
carry19 = (s19 + (1 << 20)) >> 21;
s20 += carry19;
s19 -= carry19 * (1 << 21);
carry21 = (s21 + (1 << 20)) >> 21;
s22 += carry21;
s21 -= carry21 * (1 << 21);
s11 += s23 * 666643;
s12 += s23 * 470296;
s13 += s23 * 654183;
s14 -= s23 * 997805;
s15 += s23 * 136657;
s16 -= s23 * 683901;
s23 = 0;
s10 += s22 * 666643;
s11 += s22 * 470296;
s12 += s22 * 654183;
s13 -= s22 * 997805;
s14 += s22 * 136657;
s15 -= s22 * 683901;
s22 = 0;
s9 += s21 * 666643;
s10 += s21 * 470296;
s11 += s21 * 654183;
s12 -= s21 * 997805;
s13 += s21 * 136657;
s14 -= s21 * 683901;
s21 = 0;
s8 += s20 * 666643;
s9 += s20 * 470296;
s10 += s20 * 654183;
s11 -= s20 * 997805;
s12 += s20 * 136657;
s13 -= s20 * 683901;
s20 = 0;
s7 += s19 * 666643;
s8 += s19 * 470296;
s9 += s19 * 654183;
s10 -= s19 * 997805;
s11 += s19 * 136657;
s12 -= s19 * 683901;
s19 = 0;
s6 += s18 * 666643;
s7 += s18 * 470296;
s8 += s18 * 654183;
s9 -= s18 * 997805;
s10 += s18 * 136657;
s11 -= s18 * 683901;
s18 = 0;
carry6 = (s6 + (1 << 20)) >> 21;
s7 += carry6;
s6 -= carry6 * (1 << 21);
carry8 = (s8 + (1 << 20)) >> 21;
s9 += carry8;
s8 -= carry8 * (1 << 21);
carry10 = (s10 + (1 << 20)) >> 21;
s11 += carry10;
s10 -= carry10 * (1 << 21);
carry12 = (s12 + (1 << 20)) >> 21;
s13 += carry12;
s12 -= carry12 * (1 << 21);
carry14 = (s14 + (1 << 20)) >> 21;
s15 += carry14;
s14 -= carry14 * (1 << 21);
carry16 = (s16 + (1 << 20)) >> 21;
s17 += carry16;
s16 -= carry16 * (1 << 21);
carry7 = (s7 + (1 << 20)) >> 21;
s8 += carry7;
s7 -= carry7 * (1 << 21);
carry9 = (s9 + (1 << 20)) >> 21;
s10 += carry9;
s9 -= carry9 * (1 << 21);
carry11 = (s11 + (1 << 20)) >> 21;
s12 += carry11;
s11 -= carry11 * (1 << 21);
carry13 = (s13 + (1 << 20)) >> 21;
s14 += carry13;
s13 -= carry13 * (1 << 21);
carry15 = (s15 + (1 << 20)) >> 21;
s16 += carry15;
s15 -= carry15 * (1 << 21);
s5 += s17 * 666643;
s6 += s17 * 470296;
s7 += s17 * 654183;
s8 -= s17 * 997805;
s9 += s17 * 136657;
s10 -= s17 * 683901;
s17 = 0;
s4 += s16 * 666643;
s5 += s16 * 470296;
s6 += s16 * 654183;
s7 -= s16 * 997805;
s8 += s16 * 136657;
s9 -= s16 * 683901;
s16 = 0;
s3 += s15 * 666643;
s4 += s15 * 470296;
s5 += s15 * 654183;
s6 -= s15 * 997805;
s7 += s15 * 136657;
s8 -= s15 * 683901;
s15 = 0;
s2 += s14 * 666643;
s3 += s14 * 470296;
s4 += s14 * 654183;
s5 -= s14 * 997805;
s6 += s14 * 136657;
s7 -= s14 * 683901;
s14 = 0;
s1 += s13 * 666643;
s2 += s13 * 470296;
s3 += s13 * 654183;
s4 -= s13 * 997805;
s5 += s13 * 136657;
s6 -= s13 * 683901;
s13 = 0;
s0 += s12 * 666643;
s1 += s12 * 470296;
s2 += s12 * 654183;
s3 -= s12 * 997805;
s4 += s12 * 136657;
s5 -= s12 * 683901;
s12 = 0;
carry0 = (s0 + (1 << 20)) >> 21;
s1 += carry0;
s0 -= carry0 * (1 << 21);
carry2 = (s2 + (1 << 20)) >> 21;
s3 += carry2;
s2 -= carry2 * (1 << 21);
carry4 = (s4 + (1 << 20)) >> 21;
s5 += carry4;
s4 -= carry4 * (1 << 21);
carry6 = (s6 + (1 << 20)) >> 21;
s7 += carry6;
s6 -= carry6 * (1 << 21);
carry8 = (s8 + (1 << 20)) >> 21;
s9 += carry8;
s8 -= carry8 * (1 << 21);
carry10 = (s10 + (1 << 20)) >> 21;
s11 += carry10;
s10 -= carry10 * (1 << 21);
carry1 = (s1 + (1 << 20)) >> 21;
s2 += carry1;
s1 -= carry1 * (1 << 21);
carry3 = (s3 + (1 << 20)) >> 21;
s4 += carry3;
s3 -= carry3 * (1 << 21);
carry5 = (s5 + (1 << 20)) >> 21;
s6 += carry5;
s5 -= carry5 * (1 << 21);
carry7 = (s7 + (1 << 20)) >> 21;
s8 += carry7;
s7 -= carry7 * (1 << 21);
carry9 = (s9 + (1 << 20)) >> 21;
s10 += carry9;
s9 -= carry9 * (1 << 21);
carry11 = (s11 + (1 << 20)) >> 21;
s12 += carry11;
s11 -= carry11 * (1 << 21);
s0 += s12 * 666643;
s1 += s12 * 470296;
s2 += s12 * 654183;
s3 -= s12 * 997805;
s4 += s12 * 136657;
s5 -= s12 * 683901;
s12 = 0;
carry0 = s0 >> 21;
s1 += carry0;
s0 -= carry0 * (1 << 21);
carry1 = s1 >> 21;
s2 += carry1;
s1 -= carry1 * (1 << 21);
carry2 = s2 >> 21;
s3 += carry2;
s2 -= carry2 * (1 << 21);
carry3 = s3 >> 21;
s4 += carry3;
s3 -= carry3 * (1 << 21);
carry4 = s4 >> 21;
s5 += carry4;
s4 -= carry4 * (1 << 21);
carry5 = s5 >> 21;
s6 += carry5;
s5 -= carry5 * (1 << 21);
carry6 = s6 >> 21;
s7 += carry6;
s6 -= carry6 * (1 << 21);
carry7 = s7 >> 21;
s8 += carry7;
s7 -= carry7 * (1 << 21);
carry8 = s8 >> 21;
s9 += carry8;
s8 -= carry8 * (1 << 21);
carry9 = s9 >> 21;
s10 += carry9;
s9 -= carry9 * (1 << 21);
carry10 = s10 >> 21;
s11 += carry10;
s10 -= carry10 * (1 << 21);
carry11 = s11 >> 21;
s12 += carry11;
s11 -= carry11 * (1 << 21);
s0 += s12 * 666643;
s1 += s12 * 470296;
s2 += s12 * 654183;
s3 -= s12 * 997805;
s4 += s12 * 136657;
s5 -= s12 * 683901;
s12 = 0;
carry0 = s0 >> 21;
s1 += carry0;
s0 -= carry0 * (1 << 21);
carry1 = s1 >> 21;
s2 += carry1;
s1 -= carry1 * (1 << 21);
carry2 = s2 >> 21;
s3 += carry2;
s2 -= carry2 * (1 << 21);
carry3 = s3 >> 21;
s4 += carry3;
s3 -= carry3 * (1 << 21);
carry4 = s4 >> 21;
s5 += carry4;
s4 -= carry4 * (1 << 21);
carry5 = s5 >> 21;
s6 += carry5;
s5 -= carry5 * (1 << 21);
carry6 = s6 >> 21;
s7 += carry6;
s6 -= carry6 * (1 << 21);
carry7 = s7 >> 21;
s8 += carry7;
s7 -= carry7 * (1 << 21);
carry8 = s8 >> 21;
s9 += carry8;
s8 -= carry8 * (1 << 21);
carry9 = s9 >> 21;
s10 += carry9;
s9 -= carry9 * (1 << 21);
carry10 = s10 >> 21;
s11 += carry10;
s10 -= carry10 * (1 << 21);
s[ 0] = (uint8_t) (s0 >> 0);
s[ 1] = (uint8_t) (s0 >> 8);
s[ 2] = (uint8_t)((s0 >> 16) | (s1 << 5));
s[ 3] = (uint8_t) (s1 >> 3);
s[ 4] = (uint8_t) (s1 >> 11);
s[ 5] = (uint8_t)((s1 >> 19) | (s2 << 2));
s[ 6] = (uint8_t) (s2 >> 6);
s[ 7] = (uint8_t)((s2 >> 14) | (s3 << 7));
s[ 8] = (uint8_t) (s3 >> 1);
s[ 9] = (uint8_t) (s3 >> 9);
s[10] = (uint8_t)((s3 >> 17) | (s4 << 4));
s[11] = (uint8_t) (s4 >> 4);
s[12] = (uint8_t) (s4 >> 12);
s[13] = (uint8_t)((s4 >> 20) | (s5 << 1));
s[14] = (uint8_t) (s5 >> 7);
s[15] = (uint8_t)((s5 >> 15) | (s6 << 6));
s[16] = (uint8_t) (s6 >> 2);
s[17] = (uint8_t) (s6 >> 10);
s[18] = (uint8_t)((s6 >> 18) | (s7 << 3));
s[19] = (uint8_t) (s7 >> 5);
s[20] = (uint8_t) (s7 >> 13);
s[21] = (uint8_t) (s8 >> 0);
s[22] = (uint8_t) (s8 >> 8);
s[23] = (uint8_t)((s8 >> 16) | (s9 << 5));
s[24] = (uint8_t) (s9 >> 3);
s[25] = (uint8_t) (s9 >> 11);
s[26] = (uint8_t)((s9 >> 19) | (s10 << 2));
s[27] = (uint8_t) (s10 >> 6);
s[28] = (uint8_t)((s10 >> 14) | (s11 << 7));
s[29] = (uint8_t) (s11 >> 1);
s[30] = (uint8_t) (s11 >> 9);
s[31] = (uint8_t) (s11 >> 17);
}
static int hash_init_with_dom(EVP_MD_CTX *hash_ctx,
EVP_MD *sha512,
const uint8_t dom2flag,
const uint8_t phflag,
const uint8_t *context,
const size_t context_len)
{
/* ASCII: "SigEd25519 no Ed25519 collisions", in hex for EBCDIC compatibility */
const char dom_s[] =
"\x53\x69\x67\x45\x64\x32\x35\x35\x31\x39\x20\x6e"
"\x6f\x20\x45\x64\x32\x35\x35\x31\x39\x20\x63\x6f"
"\x6c\x6c\x69\x73\x69\x6f\x6e\x73";
uint8_t dom[2];
if (!EVP_DigestInit_ex(hash_ctx, sha512, NULL))
return 0;
/* return early if dom2flag is not set */
if (!dom2flag)
return 1;
if (context_len > UINT8_MAX)
return 0;
dom[0] = (uint8_t)(phflag >= 1 ? 1 : 0);
dom[1] = (uint8_t)context_len;
if (!EVP_DigestUpdate(hash_ctx, dom_s, sizeof(dom_s)-1)
|| !EVP_DigestUpdate(hash_ctx, dom, sizeof(dom))
|| !EVP_DigestUpdate(hash_ctx, context, context_len)) {
return 0;
}
return 1;
}
int
ossl_ed25519_sign(uint8_t *out_sig, const uint8_t *tbs, size_t tbs_len,
const uint8_t public_key[32], const uint8_t private_key[32],
const uint8_t dom2flag, const uint8_t phflag, const uint8_t csflag,
const uint8_t *context, size_t context_len,
OSSL_LIB_CTX *libctx, const char *propq)
{
uint8_t az[SHA512_DIGEST_LENGTH];
uint8_t nonce[SHA512_DIGEST_LENGTH];
ge_p3 R;
uint8_t hram[SHA512_DIGEST_LENGTH];
EVP_MD *sha512 = EVP_MD_fetch(libctx, SN_sha512, propq);
EVP_MD_CTX *hash_ctx = EVP_MD_CTX_new();
unsigned int sz;
int res = 0;
if (context == NULL)
context_len = 0;
/* if csflag is set, then a non-empty context-string is required */
if (csflag && context_len == 0)
goto err;
/* if dom2flag is not set, then an empty context-string is required */
if (!dom2flag && context_len > 0)
goto err;
if (sha512 == NULL || hash_ctx == NULL)
goto err;
if (!EVP_DigestInit_ex(hash_ctx, sha512, NULL)
|| !EVP_DigestUpdate(hash_ctx, private_key, 32)
|| !EVP_DigestFinal_ex(hash_ctx, az, &sz))
goto err;
az[0] &= 248;
az[31] &= 63;
az[31] |= 64;
if (!hash_init_with_dom(hash_ctx, sha512, dom2flag, phflag, context, context_len)
|| !EVP_DigestUpdate(hash_ctx, az + 32, 32)
|| !EVP_DigestUpdate(hash_ctx, tbs, tbs_len)
|| !EVP_DigestFinal_ex(hash_ctx, nonce, &sz))
goto err;
x25519_sc_reduce(nonce);
ge_scalarmult_base(&R, nonce);
ge_p3_tobytes(out_sig, &R);
if (!hash_init_with_dom(hash_ctx, sha512, dom2flag, phflag, context, context_len)
|| !EVP_DigestUpdate(hash_ctx, out_sig, 32)
|| !EVP_DigestUpdate(hash_ctx, public_key, 32)
|| !EVP_DigestUpdate(hash_ctx, tbs, tbs_len)
|| !EVP_DigestFinal_ex(hash_ctx, hram, &sz))
goto err;
x25519_sc_reduce(hram);
sc_muladd(out_sig + 32, hram, az, nonce);
res = 1;
err:
OPENSSL_cleanse(nonce, sizeof(nonce));
OPENSSL_cleanse(az, sizeof(az));
EVP_MD_free(sha512);
EVP_MD_CTX_free(hash_ctx);
return res;
}
static const char allzeroes[15];
int
ossl_ed25519_verify(const uint8_t *tbs, size_t tbs_len,
const uint8_t signature[64], const uint8_t public_key[32],
const uint8_t dom2flag, const uint8_t phflag, const uint8_t csflag,
const uint8_t *context, size_t context_len,
OSSL_LIB_CTX *libctx, const char *propq)
{
int i;
ge_p3 A;
const uint8_t *r, *s;
EVP_MD *sha512;
EVP_MD_CTX *hash_ctx = NULL;
unsigned int sz;
int res = 0;
ge_p2 R;
uint8_t rcheck[32];
uint8_t h[SHA512_DIGEST_LENGTH];
/* 27742317777372353535851937790883648493 in little endian format */
const uint8_t l_low[16] = {
0xED, 0xD3, 0xF5, 0x5C, 0x1A, 0x63, 0x12, 0x58, 0xD6, 0x9C, 0xF7, 0xA2,
0xDE, 0xF9, 0xDE, 0x14
};
if (context == NULL)
context_len = 0;
/* if csflag is set, then a non-empty context-string is required */
if (csflag && context_len == 0)
return 0;
/* if dom2flag is not set, then an empty context-string is required */
if (!dom2flag && context_len > 0)
return 0;
r = signature;
s = signature + 32;
/*
* Check 0 <= s < L where L = 2^252 + 27742317777372353535851937790883648493
*
* If not the signature is publicly invalid. Since it's public we can do the
* check in variable time.
*
* First check the most significant byte
*/
if (s[31] > 0x10)
return 0;
if (s[31] == 0x10) {
/*
* Most significant byte indicates a value close to 2^252 so check the
* rest
*/
if (memcmp(s + 16, allzeroes, sizeof(allzeroes)) != 0)
return 0;
for (i = 15; i >= 0; i--) {
if (s[i] < l_low[i])
break;
if (s[i] > l_low[i])
return 0;
}
if (i < 0)
return 0;
}
if (ge_frombytes_vartime(&A, public_key) != 0) {
return 0;
}
fe_neg(A.X, A.X);
fe_neg(A.T, A.T);
sha512 = EVP_MD_fetch(libctx, SN_sha512, propq);
if (sha512 == NULL)
return 0;
hash_ctx = EVP_MD_CTX_new();
if (hash_ctx == NULL)
goto err;
if (!hash_init_with_dom(hash_ctx, sha512, dom2flag, phflag, context, context_len)
|| !EVP_DigestUpdate(hash_ctx, r, 32)
|| !EVP_DigestUpdate(hash_ctx, public_key, 32)
|| !EVP_DigestUpdate(hash_ctx, tbs, tbs_len)
|| !EVP_DigestFinal_ex(hash_ctx, h, &sz))
goto err;
x25519_sc_reduce(h);
ge_double_scalarmult_vartime(&R, h, &A, s);
ge_tobytes(rcheck, &R);
res = CRYPTO_memcmp(rcheck, r, sizeof(rcheck)) == 0;
/* note that we have used the strict verification equation here.
* we checked that ENC( [h](-A) + [s]B ) == r
* B is the base point.
*
* the less strict verification equation uses the curve cofactor:
* [h*8](-A) + [s*8]B == [8]R
*/
err:
EVP_MD_free(sha512);
EVP_MD_CTX_free(hash_ctx);
return res;
}
int
ossl_ed25519_public_from_private(OSSL_LIB_CTX *ctx, uint8_t out_public_key[32],
const uint8_t private_key[32],
const char *propq)
{
uint8_t az[SHA512_DIGEST_LENGTH];
ge_p3 A;
int r;
EVP_MD *sha512 = NULL;
sha512 = EVP_MD_fetch(ctx, SN_sha512, propq);
if (sha512 == NULL)
return 0;
r = EVP_Digest(private_key, 32, az, NULL, sha512, NULL);
EVP_MD_free(sha512);
if (!r) {
OPENSSL_cleanse(az, sizeof(az));
return 0;
}
az[0] &= 248;
az[31] &= 63;
az[31] |= 64;
ge_scalarmult_base(&A, az);
ge_p3_tobytes(out_public_key, &A);
OPENSSL_cleanse(az, sizeof(az));
return 1;
}
int
ossl_x25519(uint8_t out_shared_key[32], const uint8_t private_key[32],
const uint8_t peer_public_value[32])
{
static const uint8_t kZeros[32] = {0};
x25519_scalar_mult(out_shared_key, private_key, peer_public_value);
/* The all-zero output results when the input is a point of small order. */
return CRYPTO_memcmp(kZeros, out_shared_key, 32) != 0;
}
void
ossl_x25519_public_from_private(uint8_t out_public_value[32],
const uint8_t private_key[32])
{
uint8_t e[32];
ge_p3 A;
fe zplusy, zminusy, zminusy_inv;
memcpy(e, private_key, 32);
e[0] &= 248;
e[31] &= 127;
e[31] |= 64;
ge_scalarmult_base(&A, e);
/*
* We only need the u-coordinate of the curve25519 point.
* The map is u=(y+1)/(1-y). Since y=Y/Z, this gives
* u=(Z+Y)/(Z-Y).
*/
fe_add(zplusy, A.Z, A.Y);
fe_sub(zminusy, A.Z, A.Y);
fe_invert(zminusy_inv, zminusy);
fe_mul(zplusy, zplusy, zminusy_inv);
fe_tobytes(out_public_value, zplusy);
OPENSSL_cleanse(e, sizeof(e));
}
|
./openssl/crypto/ec/ec_mult.c | /*
* Copyright 2001-2023 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <string.h>
#include <openssl/err.h>
#include "internal/cryptlib.h"
#include "crypto/bn.h"
#include "ec_local.h"
#include "internal/refcount.h"
/*
* This file implements the wNAF-based interleaving multi-exponentiation method
* Formerly at:
* http://www.informatik.tu-darmstadt.de/TI/Mitarbeiter/moeller.html#multiexp
* You might now find it here:
* http://link.springer.com/chapter/10.1007%2F3-540-45537-X_13
* http://www.bmoeller.de/pdf/TI-01-08.multiexp.pdf
* For multiplication with precomputation, we use wNAF splitting, formerly at:
* http://www.informatik.tu-darmstadt.de/TI/Mitarbeiter/moeller.html#fastexp
*/
/* structure for precomputed multiples of the generator */
struct ec_pre_comp_st {
const EC_GROUP *group; /* parent EC_GROUP object */
size_t blocksize; /* block size for wNAF splitting */
size_t numblocks; /* max. number of blocks for which we have
* precomputation */
size_t w; /* window size */
EC_POINT **points; /* array with pre-calculated multiples of
* generator: 'num' pointers to EC_POINT
* objects followed by a NULL */
size_t num; /* numblocks * 2^(w-1) */
CRYPTO_REF_COUNT references;
};
static EC_PRE_COMP *ec_pre_comp_new(const EC_GROUP *group)
{
EC_PRE_COMP *ret = NULL;
if (!group)
return NULL;
ret = OPENSSL_zalloc(sizeof(*ret));
if (ret == NULL)
return ret;
ret->group = group;
ret->blocksize = 8; /* default */
ret->w = 4; /* default */
if (!CRYPTO_NEW_REF(&ret->references, 1)) {
OPENSSL_free(ret);
return NULL;
}
return ret;
}
EC_PRE_COMP *EC_ec_pre_comp_dup(EC_PRE_COMP *pre)
{
int i;
if (pre != NULL)
CRYPTO_UP_REF(&pre->references, &i);
return pre;
}
void EC_ec_pre_comp_free(EC_PRE_COMP *pre)
{
int i;
if (pre == NULL)
return;
CRYPTO_DOWN_REF(&pre->references, &i);
REF_PRINT_COUNT("EC_ec", pre);
if (i > 0)
return;
REF_ASSERT_ISNT(i < 0);
if (pre->points != NULL) {
EC_POINT **pts;
for (pts = pre->points; *pts != NULL; pts++)
EC_POINT_free(*pts);
OPENSSL_free(pre->points);
}
CRYPTO_FREE_REF(&pre->references);
OPENSSL_free(pre);
}
#define EC_POINT_BN_set_flags(P, flags) do { \
BN_set_flags((P)->X, (flags)); \
BN_set_flags((P)->Y, (flags)); \
BN_set_flags((P)->Z, (flags)); \
} while(0)
/*-
* This functions computes a single point multiplication over the EC group,
* using, at a high level, a Montgomery ladder with conditional swaps, with
* various timing attack defenses.
*
* It performs either a fixed point multiplication
* (scalar * generator)
* when point is NULL, or a variable point multiplication
* (scalar * point)
* when point is not NULL.
*
* `scalar` cannot be NULL and should be in the range [0,n) otherwise all
* constant time bets are off (where n is the cardinality of the EC group).
*
* This function expects `group->order` and `group->cardinality` to be well
* defined and non-zero: it fails with an error code otherwise.
*
* NB: This says nothing about the constant-timeness of the ladder step
* implementation (i.e., the default implementation is based on EC_POINT_add and
* EC_POINT_dbl, which of course are not constant time themselves) or the
* underlying multiprecision arithmetic.
*
* The product is stored in `r`.
*
* This is an internal function: callers are in charge of ensuring that the
* input parameters `group`, `r`, `scalar` and `ctx` are not NULL.
*
* Returns 1 on success, 0 otherwise.
*/
int ossl_ec_scalar_mul_ladder(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar, const EC_POINT *point,
BN_CTX *ctx)
{
int i, cardinality_bits, group_top, kbit, pbit, Z_is_one;
EC_POINT *p = NULL;
EC_POINT *s = NULL;
BIGNUM *k = NULL;
BIGNUM *lambda = NULL;
BIGNUM *cardinality = NULL;
int ret = 0;
/* early exit if the input point is the point at infinity */
if (point != NULL && EC_POINT_is_at_infinity(group, point))
return EC_POINT_set_to_infinity(group, r);
if (BN_is_zero(group->order)) {
ERR_raise(ERR_LIB_EC, EC_R_UNKNOWN_ORDER);
return 0;
}
if (BN_is_zero(group->cofactor)) {
ERR_raise(ERR_LIB_EC, EC_R_UNKNOWN_COFACTOR);
return 0;
}
BN_CTX_start(ctx);
if (((p = EC_POINT_new(group)) == NULL)
|| ((s = EC_POINT_new(group)) == NULL)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (point == NULL) {
if (!EC_POINT_copy(p, group->generator)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
} else {
if (!EC_POINT_copy(p, point)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
}
EC_POINT_BN_set_flags(p, BN_FLG_CONSTTIME);
EC_POINT_BN_set_flags(r, BN_FLG_CONSTTIME);
EC_POINT_BN_set_flags(s, BN_FLG_CONSTTIME);
cardinality = BN_CTX_get(ctx);
lambda = BN_CTX_get(ctx);
k = BN_CTX_get(ctx);
if (k == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if (!BN_mul(cardinality, group->order, group->cofactor, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/*
* Group cardinalities are often on a word boundary.
* So when we pad the scalar, some timing diff might
* pop if it needs to be expanded due to carries.
* So expand ahead of time.
*/
cardinality_bits = BN_num_bits(cardinality);
group_top = bn_get_top(cardinality);
if ((bn_wexpand(k, group_top + 2) == NULL)
|| (bn_wexpand(lambda, group_top + 2) == NULL)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if (!BN_copy(k, scalar)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
BN_set_flags(k, BN_FLG_CONSTTIME);
if ((BN_num_bits(k) > cardinality_bits) || (BN_is_negative(k))) {
/*-
* this is an unusual input, and we don't guarantee
* constant-timeness
*/
if (!BN_nnmod(k, k, cardinality, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
}
if (!BN_add(lambda, k, cardinality)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
BN_set_flags(lambda, BN_FLG_CONSTTIME);
if (!BN_add(k, lambda, cardinality)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/*
* lambda := scalar + cardinality
* k := scalar + 2*cardinality
*/
kbit = BN_is_bit_set(lambda, cardinality_bits);
BN_consttime_swap(kbit, k, lambda, group_top + 2);
group_top = bn_get_top(group->field);
if ((bn_wexpand(s->X, group_top) == NULL)
|| (bn_wexpand(s->Y, group_top) == NULL)
|| (bn_wexpand(s->Z, group_top) == NULL)
|| (bn_wexpand(r->X, group_top) == NULL)
|| (bn_wexpand(r->Y, group_top) == NULL)
|| (bn_wexpand(r->Z, group_top) == NULL)
|| (bn_wexpand(p->X, group_top) == NULL)
|| (bn_wexpand(p->Y, group_top) == NULL)
|| (bn_wexpand(p->Z, group_top) == NULL)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* ensure input point is in affine coords for ladder step efficiency */
if (!p->Z_is_one && (group->meth->make_affine == NULL
|| !group->meth->make_affine(group, p, ctx))) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
/* Initialize the Montgomery ladder */
if (!ec_point_ladder_pre(group, r, s, p, ctx)) {
ERR_raise(ERR_LIB_EC, EC_R_LADDER_PRE_FAILURE);
goto err;
}
/* top bit is a 1, in a fixed pos */
pbit = 1;
#define EC_POINT_CSWAP(c, a, b, w, t) do { \
BN_consttime_swap(c, (a)->X, (b)->X, w); \
BN_consttime_swap(c, (a)->Y, (b)->Y, w); \
BN_consttime_swap(c, (a)->Z, (b)->Z, w); \
t = ((a)->Z_is_one ^ (b)->Z_is_one) & (c); \
(a)->Z_is_one ^= (t); \
(b)->Z_is_one ^= (t); \
} while(0)
/*-
* The ladder step, with branches, is
*
* k[i] == 0: S = add(R, S), R = dbl(R)
* k[i] == 1: R = add(S, R), S = dbl(S)
*
* Swapping R, S conditionally on k[i] leaves you with state
*
* k[i] == 0: T, U = R, S
* k[i] == 1: T, U = S, R
*
* Then perform the ECC ops.
*
* U = add(T, U)
* T = dbl(T)
*
* Which leaves you with state
*
* k[i] == 0: U = add(R, S), T = dbl(R)
* k[i] == 1: U = add(S, R), T = dbl(S)
*
* Swapping T, U conditionally on k[i] leaves you with state
*
* k[i] == 0: R, S = T, U
* k[i] == 1: R, S = U, T
*
* Which leaves you with state
*
* k[i] == 0: S = add(R, S), R = dbl(R)
* k[i] == 1: R = add(S, R), S = dbl(S)
*
* So we get the same logic, but instead of a branch it's a
* conditional swap, followed by ECC ops, then another conditional swap.
*
* Optimization: The end of iteration i and start of i-1 looks like
*
* ...
* CSWAP(k[i], R, S)
* ECC
* CSWAP(k[i], R, S)
* (next iteration)
* CSWAP(k[i-1], R, S)
* ECC
* CSWAP(k[i-1], R, S)
* ...
*
* So instead of two contiguous swaps, you can merge the condition
* bits and do a single swap.
*
* k[i] k[i-1] Outcome
* 0 0 No Swap
* 0 1 Swap
* 1 0 Swap
* 1 1 No Swap
*
* This is XOR. pbit tracks the previous bit of k.
*/
for (i = cardinality_bits - 1; i >= 0; i--) {
kbit = BN_is_bit_set(k, i) ^ pbit;
EC_POINT_CSWAP(kbit, r, s, group_top, Z_is_one);
/* Perform a single step of the Montgomery ladder */
if (!ec_point_ladder_step(group, r, s, p, ctx)) {
ERR_raise(ERR_LIB_EC, EC_R_LADDER_STEP_FAILURE);
goto err;
}
/*
* pbit logic merges this cswap with that of the
* next iteration
*/
pbit ^= kbit;
}
/* one final cswap to move the right value into r */
EC_POINT_CSWAP(pbit, r, s, group_top, Z_is_one);
#undef EC_POINT_CSWAP
/* Finalize ladder (and recover full point coordinates) */
if (!ec_point_ladder_post(group, r, s, p, ctx)) {
ERR_raise(ERR_LIB_EC, EC_R_LADDER_POST_FAILURE);
goto err;
}
ret = 1;
err:
EC_POINT_free(p);
EC_POINT_clear_free(s);
BN_CTX_end(ctx);
return ret;
}
#undef EC_POINT_BN_set_flags
/*
* Table could be optimised for the wNAF-based implementation,
* sometimes smaller windows will give better performance (thus the
* boundaries should be increased)
*/
#define EC_window_bits_for_scalar_size(b) \
((size_t) \
((b) >= 2000 ? 6 : \
(b) >= 800 ? 5 : \
(b) >= 300 ? 4 : \
(b) >= 70 ? 3 : \
(b) >= 20 ? 2 : \
1))
/*-
* Compute
* \sum scalars[i]*points[i],
* also including
* scalar*generator
* in the addition if scalar != NULL
*/
int ossl_ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
size_t num, const EC_POINT *points[],
const BIGNUM *scalars[], BN_CTX *ctx)
{
const EC_POINT *generator = NULL;
EC_POINT *tmp = NULL;
size_t totalnum;
size_t blocksize = 0, numblocks = 0; /* for wNAF splitting */
size_t pre_points_per_block = 0;
size_t i, j;
int k;
int r_is_inverted = 0;
int r_is_at_infinity = 1;
size_t *wsize = NULL; /* individual window sizes */
signed char **wNAF = NULL; /* individual wNAFs */
size_t *wNAF_len = NULL;
size_t max_len = 0;
size_t num_val;
EC_POINT **val = NULL; /* precomputation */
EC_POINT **v;
EC_POINT ***val_sub = NULL; /* pointers to sub-arrays of 'val' or
* 'pre_comp->points' */
const EC_PRE_COMP *pre_comp = NULL;
int num_scalar = 0; /* flag: will be set to 1 if 'scalar' must be
* treated like other scalars, i.e.
* precomputation is not available */
int ret = 0;
if (!BN_is_zero(group->order) && !BN_is_zero(group->cofactor)) {
/*-
* Handle the common cases where the scalar is secret, enforcing a
* scalar multiplication implementation based on a Montgomery ladder,
* with various timing attack defenses.
*/
if ((scalar != group->order) && (scalar != NULL) && (num == 0)) {
/*-
* In this case we want to compute scalar * GeneratorPoint: this
* codepath is reached most prominently by (ephemeral) key
* generation of EC cryptosystems (i.e. ECDSA keygen and sign setup,
* ECDH keygen/first half), where the scalar is always secret. This
* is why we ignore if BN_FLG_CONSTTIME is actually set and we
* always call the ladder version.
*/
return ossl_ec_scalar_mul_ladder(group, r, scalar, NULL, ctx);
}
if ((scalar == NULL) && (num == 1) && (scalars[0] != group->order)) {
/*-
* In this case we want to compute scalar * VariablePoint: this
* codepath is reached most prominently by the second half of ECDH,
* where the secret scalar is multiplied by the peer's public point.
* To protect the secret scalar, we ignore if BN_FLG_CONSTTIME is
* actually set and we always call the ladder version.
*/
return ossl_ec_scalar_mul_ladder(group, r, scalars[0], points[0],
ctx);
}
}
if (scalar != NULL) {
generator = EC_GROUP_get0_generator(group);
if (generator == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_UNDEFINED_GENERATOR);
goto err;
}
/* look if we can use precomputed multiples of generator */
pre_comp = group->pre_comp.ec;
if (pre_comp && pre_comp->numblocks
&& (EC_POINT_cmp(group, generator, pre_comp->points[0], ctx) ==
0)) {
blocksize = pre_comp->blocksize;
/*
* determine maximum number of blocks that wNAF splitting may
* yield (NB: maximum wNAF length is bit length plus one)
*/
numblocks = (BN_num_bits(scalar) / blocksize) + 1;
/*
* we cannot use more blocks than we have precomputation for
*/
if (numblocks > pre_comp->numblocks)
numblocks = pre_comp->numblocks;
pre_points_per_block = (size_t)1 << (pre_comp->w - 1);
/* check that pre_comp looks sane */
if (pre_comp->num != (pre_comp->numblocks * pre_points_per_block)) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
goto err;
}
} else {
/* can't use precomputation */
pre_comp = NULL;
numblocks = 1;
num_scalar = 1; /* treat 'scalar' like 'num'-th element of
* 'scalars' */
}
}
totalnum = num + numblocks;
wsize = OPENSSL_malloc(totalnum * sizeof(wsize[0]));
wNAF_len = OPENSSL_malloc(totalnum * sizeof(wNAF_len[0]));
/* include space for pivot */
wNAF = OPENSSL_malloc((totalnum + 1) * sizeof(wNAF[0]));
val_sub = OPENSSL_malloc(totalnum * sizeof(val_sub[0]));
/* Ensure wNAF is initialised in case we end up going to err */
if (wNAF != NULL)
wNAF[0] = NULL; /* preliminary pivot */
if (wsize == NULL || wNAF_len == NULL || wNAF == NULL || val_sub == NULL)
goto err;
/*
* num_val will be the total number of temporarily precomputed points
*/
num_val = 0;
for (i = 0; i < num + num_scalar; i++) {
size_t bits;
bits = i < num ? BN_num_bits(scalars[i]) : BN_num_bits(scalar);
wsize[i] = EC_window_bits_for_scalar_size(bits);
num_val += (size_t)1 << (wsize[i] - 1);
wNAF[i + 1] = NULL; /* make sure we always have a pivot */
wNAF[i] =
bn_compute_wNAF((i < num ? scalars[i] : scalar), wsize[i],
&wNAF_len[i]);
if (wNAF[i] == NULL)
goto err;
if (wNAF_len[i] > max_len)
max_len = wNAF_len[i];
}
if (numblocks) {
/* we go here iff scalar != NULL */
if (pre_comp == NULL) {
if (num_scalar != 1) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
goto err;
}
/* we have already generated a wNAF for 'scalar' */
} else {
signed char *tmp_wNAF = NULL;
size_t tmp_len = 0;
if (num_scalar != 0) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
goto err;
}
/*
* use the window size for which we have precomputation
*/
wsize[num] = pre_comp->w;
tmp_wNAF = bn_compute_wNAF(scalar, wsize[num], &tmp_len);
if (!tmp_wNAF)
goto err;
if (tmp_len <= max_len) {
/*
* One of the other wNAFs is at least as long as the wNAF
* belonging to the generator, so wNAF splitting will not buy
* us anything.
*/
numblocks = 1;
totalnum = num + 1; /* don't use wNAF splitting */
wNAF[num] = tmp_wNAF;
wNAF[num + 1] = NULL;
wNAF_len[num] = tmp_len;
/*
* pre_comp->points starts with the points that we need here:
*/
val_sub[num] = pre_comp->points;
} else {
/*
* don't include tmp_wNAF directly into wNAF array - use wNAF
* splitting and include the blocks
*/
signed char *pp;
EC_POINT **tmp_points;
if (tmp_len < numblocks * blocksize) {
/*
* possibly we can do with fewer blocks than estimated
*/
numblocks = (tmp_len + blocksize - 1) / blocksize;
if (numblocks > pre_comp->numblocks) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
OPENSSL_free(tmp_wNAF);
goto err;
}
totalnum = num + numblocks;
}
/* split wNAF in 'numblocks' parts */
pp = tmp_wNAF;
tmp_points = pre_comp->points;
for (i = num; i < totalnum; i++) {
if (i < totalnum - 1) {
wNAF_len[i] = blocksize;
if (tmp_len < blocksize) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
OPENSSL_free(tmp_wNAF);
goto err;
}
tmp_len -= blocksize;
} else
/*
* last block gets whatever is left (this could be
* more or less than 'blocksize'!)
*/
wNAF_len[i] = tmp_len;
wNAF[i + 1] = NULL;
wNAF[i] = OPENSSL_malloc(wNAF_len[i]);
if (wNAF[i] == NULL) {
OPENSSL_free(tmp_wNAF);
goto err;
}
memcpy(wNAF[i], pp, wNAF_len[i]);
if (wNAF_len[i] > max_len)
max_len = wNAF_len[i];
if (*tmp_points == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
OPENSSL_free(tmp_wNAF);
goto err;
}
val_sub[i] = tmp_points;
tmp_points += pre_points_per_block;
pp += blocksize;
}
OPENSSL_free(tmp_wNAF);
}
}
}
/*
* All points we precompute now go into a single array 'val'.
* 'val_sub[i]' is a pointer to the subarray for the i-th point, or to a
* subarray of 'pre_comp->points' if we already have precomputation.
*/
val = OPENSSL_malloc((num_val + 1) * sizeof(val[0]));
if (val == NULL)
goto err;
val[num_val] = NULL; /* pivot element */
/* allocate points for precomputation */
v = val;
for (i = 0; i < num + num_scalar; i++) {
val_sub[i] = v;
for (j = 0; j < ((size_t)1 << (wsize[i] - 1)); j++) {
*v = EC_POINT_new(group);
if (*v == NULL)
goto err;
v++;
}
}
if (!(v == val + num_val)) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
goto err;
}
if ((tmp = EC_POINT_new(group)) == NULL)
goto err;
/*-
* prepare precomputed values:
* val_sub[i][0] := points[i]
* val_sub[i][1] := 3 * points[i]
* val_sub[i][2] := 5 * points[i]
* ...
*/
for (i = 0; i < num + num_scalar; i++) {
if (i < num) {
if (!EC_POINT_copy(val_sub[i][0], points[i]))
goto err;
} else {
if (!EC_POINT_copy(val_sub[i][0], generator))
goto err;
}
if (wsize[i] > 1) {
if (!EC_POINT_dbl(group, tmp, val_sub[i][0], ctx))
goto err;
for (j = 1; j < ((size_t)1 << (wsize[i] - 1)); j++) {
if (!EC_POINT_add
(group, val_sub[i][j], val_sub[i][j - 1], tmp, ctx))
goto err;
}
}
}
if (group->meth->points_make_affine == NULL
|| !group->meth->points_make_affine(group, num_val, val, ctx))
goto err;
r_is_at_infinity = 1;
for (k = max_len - 1; k >= 0; k--) {
if (!r_is_at_infinity) {
if (!EC_POINT_dbl(group, r, r, ctx))
goto err;
}
for (i = 0; i < totalnum; i++) {
if (wNAF_len[i] > (size_t)k) {
int digit = wNAF[i][k];
int is_neg;
if (digit) {
is_neg = digit < 0;
if (is_neg)
digit = -digit;
if (is_neg != r_is_inverted) {
if (!r_is_at_infinity) {
if (!EC_POINT_invert(group, r, ctx))
goto err;
}
r_is_inverted = !r_is_inverted;
}
/* digit > 0 */
if (r_is_at_infinity) {
if (!EC_POINT_copy(r, val_sub[i][digit >> 1]))
goto err;
/*-
* Apply coordinate blinding for EC_POINT.
*
* The underlying EC_METHOD can optionally implement this function:
* ossl_ec_point_blind_coordinates() returns 0 in case of errors or 1 on
* success or if coordinate blinding is not implemented for this
* group.
*/
if (!ossl_ec_point_blind_coordinates(group, r, ctx)) {
ERR_raise(ERR_LIB_EC, EC_R_POINT_COORDINATES_BLIND_FAILURE);
goto err;
}
r_is_at_infinity = 0;
} else {
if (!EC_POINT_add
(group, r, r, val_sub[i][digit >> 1], ctx))
goto err;
}
}
}
}
}
if (r_is_at_infinity) {
if (!EC_POINT_set_to_infinity(group, r))
goto err;
} else {
if (r_is_inverted)
if (!EC_POINT_invert(group, r, ctx))
goto err;
}
ret = 1;
err:
EC_POINT_free(tmp);
OPENSSL_free(wsize);
OPENSSL_free(wNAF_len);
if (wNAF != NULL) {
signed char **w;
for (w = wNAF; *w != NULL; w++)
OPENSSL_free(*w);
OPENSSL_free(wNAF);
}
if (val != NULL) {
for (v = val; *v != NULL; v++)
EC_POINT_clear_free(*v);
OPENSSL_free(val);
}
OPENSSL_free(val_sub);
return ret;
}
/*-
* ossl_ec_wNAF_precompute_mult()
* creates an EC_PRE_COMP object with preprecomputed multiples of the generator
* for use with wNAF splitting as implemented in ossl_ec_wNAF_mul().
*
* 'pre_comp->points' is an array of multiples of the generator
* of the following form:
* points[0] = generator;
* points[1] = 3 * generator;
* ...
* points[2^(w-1)-1] = (2^(w-1)-1) * generator;
* points[2^(w-1)] = 2^blocksize * generator;
* points[2^(w-1)+1] = 3 * 2^blocksize * generator;
* ...
* points[2^(w-1)*(numblocks-1)-1] = (2^(w-1)) * 2^(blocksize*(numblocks-2)) * generator
* points[2^(w-1)*(numblocks-1)] = 2^(blocksize*(numblocks-1)) * generator
* ...
* points[2^(w-1)*numblocks-1] = (2^(w-1)) * 2^(blocksize*(numblocks-1)) * generator
* points[2^(w-1)*numblocks] = NULL
*/
int ossl_ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
{
const EC_POINT *generator;
EC_POINT *tmp_point = NULL, *base = NULL, **var;
const BIGNUM *order;
size_t i, bits, w, pre_points_per_block, blocksize, numblocks, num;
EC_POINT **points = NULL;
EC_PRE_COMP *pre_comp;
int ret = 0;
int used_ctx = 0;
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
#endif
/* if there is an old EC_PRE_COMP object, throw it away */
EC_pre_comp_free(group);
if ((pre_comp = ec_pre_comp_new(group)) == NULL)
return 0;
generator = EC_GROUP_get0_generator(group);
if (generator == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_UNDEFINED_GENERATOR);
goto err;
}
#ifndef FIPS_MODULE
if (ctx == NULL)
ctx = new_ctx = BN_CTX_new();
#endif
if (ctx == NULL)
goto err;
BN_CTX_start(ctx);
used_ctx = 1;
order = EC_GROUP_get0_order(group);
if (order == NULL)
goto err;
if (BN_is_zero(order)) {
ERR_raise(ERR_LIB_EC, EC_R_UNKNOWN_ORDER);
goto err;
}
bits = BN_num_bits(order);
/*
* The following parameters mean we precompute (approximately) one point
* per bit. TBD: The combination 8, 4 is perfect for 160 bits; for other
* bit lengths, other parameter combinations might provide better
* efficiency.
*/
blocksize = 8;
w = 4;
if (EC_window_bits_for_scalar_size(bits) > w) {
/* let's not make the window too small ... */
w = EC_window_bits_for_scalar_size(bits);
}
numblocks = (bits + blocksize - 1) / blocksize; /* max. number of blocks
* to use for wNAF
* splitting */
pre_points_per_block = (size_t)1 << (w - 1);
num = pre_points_per_block * numblocks; /* number of points to compute
* and store */
points = OPENSSL_malloc(sizeof(*points) * (num + 1));
if (points == NULL)
goto err;
var = points;
var[num] = NULL; /* pivot */
for (i = 0; i < num; i++) {
if ((var[i] = EC_POINT_new(group)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
}
if ((tmp_point = EC_POINT_new(group)) == NULL
|| (base = EC_POINT_new(group)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (!EC_POINT_copy(base, generator))
goto err;
/* do the precomputation */
for (i = 0; i < numblocks; i++) {
size_t j;
if (!EC_POINT_dbl(group, tmp_point, base, ctx))
goto err;
if (!EC_POINT_copy(*var++, base))
goto err;
for (j = 1; j < pre_points_per_block; j++, var++) {
/*
* calculate odd multiples of the current base point
*/
if (!EC_POINT_add(group, *var, tmp_point, *(var - 1), ctx))
goto err;
}
if (i < numblocks - 1) {
/*
* get the next base (multiply current one by 2^blocksize)
*/
size_t k;
if (blocksize <= 2) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
goto err;
}
if (!EC_POINT_dbl(group, base, tmp_point, ctx))
goto err;
for (k = 2; k < blocksize; k++) {
if (!EC_POINT_dbl(group, base, base, ctx))
goto err;
}
}
}
if (group->meth->points_make_affine == NULL
|| !group->meth->points_make_affine(group, num, points, ctx))
goto err;
pre_comp->group = group;
pre_comp->blocksize = blocksize;
pre_comp->numblocks = numblocks;
pre_comp->w = w;
pre_comp->points = points;
points = NULL;
pre_comp->num = num;
SETPRECOMP(group, ec, pre_comp);
pre_comp = NULL;
ret = 1;
err:
if (used_ctx)
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
EC_ec_pre_comp_free(pre_comp);
if (points) {
EC_POINT **p;
for (p = points; *p != NULL; p++)
EC_POINT_free(*p);
OPENSSL_free(points);
}
EC_POINT_free(tmp_point);
EC_POINT_free(base);
return ret;
}
int ossl_ec_wNAF_have_precompute_mult(const EC_GROUP *group)
{
return HAVEPRECOMP(group, ec);
}
|
./openssl/crypto/ec/ec_kmeth.c | /*
* Copyright 2015-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDH and ECDSA low level APIs are deprecated for public use, but still ok
* for internal use.
*/
#include "internal/deprecated.h"
#include <string.h>
#include <openssl/ec.h>
#ifndef FIPS_MODULE
# include <openssl/engine.h>
#endif
#include <openssl/err.h>
#include "ec_local.h"
static const EC_KEY_METHOD openssl_ec_key_method = {
"OpenSSL EC_KEY method",
0,
0,0,0,0,0,0,
ossl_ec_key_gen,
ossl_ecdh_compute_key,
ossl_ecdsa_sign,
ossl_ecdsa_sign_setup,
ossl_ecdsa_sign_sig,
ossl_ecdsa_verify,
ossl_ecdsa_verify_sig
};
static const EC_KEY_METHOD *default_ec_key_meth = &openssl_ec_key_method;
const EC_KEY_METHOD *EC_KEY_OpenSSL(void)
{
return &openssl_ec_key_method;
}
const EC_KEY_METHOD *EC_KEY_get_default_method(void)
{
return default_ec_key_meth;
}
void EC_KEY_set_default_method(const EC_KEY_METHOD *meth)
{
if (meth == NULL)
default_ec_key_meth = &openssl_ec_key_method;
else
default_ec_key_meth = meth;
}
const EC_KEY_METHOD *EC_KEY_get_method(const EC_KEY *key)
{
return key->meth;
}
int EC_KEY_set_method(EC_KEY *key, const EC_KEY_METHOD *meth)
{
void (*finish)(EC_KEY *key) = key->meth->finish;
if (finish != NULL)
finish(key);
#if !defined(OPENSSL_NO_ENGINE) && !defined(FIPS_MODULE)
ENGINE_finish(key->engine);
key->engine = NULL;
#endif
key->meth = meth;
if (meth->init != NULL)
return meth->init(key);
return 1;
}
EC_KEY *ossl_ec_key_new_method_int(OSSL_LIB_CTX *libctx, const char *propq,
ENGINE *engine)
{
EC_KEY *ret = OPENSSL_zalloc(sizeof(*ret));
if (ret == NULL)
return NULL;
if (!CRYPTO_NEW_REF(&ret->references, 1)) {
OPENSSL_free(ret);
return NULL;
}
ret->libctx = libctx;
if (propq != NULL) {
ret->propq = OPENSSL_strdup(propq);
if (ret->propq == NULL)
goto err;
}
ret->meth = EC_KEY_get_default_method();
#if !defined(OPENSSL_NO_ENGINE) && !defined(FIPS_MODULE)
if (engine != NULL) {
if (!ENGINE_init(engine)) {
ERR_raise(ERR_LIB_EC, ERR_R_ENGINE_LIB);
goto err;
}
ret->engine = engine;
} else
ret->engine = ENGINE_get_default_EC();
if (ret->engine != NULL) {
ret->meth = ENGINE_get_EC(ret->engine);
if (ret->meth == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_ENGINE_LIB);
goto err;
}
}
#endif
ret->version = 1;
ret->conv_form = POINT_CONVERSION_UNCOMPRESSED;
/* No ex_data inside the FIPS provider */
#ifndef FIPS_MODULE
if (!CRYPTO_new_ex_data(CRYPTO_EX_INDEX_EC_KEY, ret, &ret->ex_data)) {
ERR_raise(ERR_LIB_EC, ERR_R_CRYPTO_LIB);
goto err;
}
#endif
if (ret->meth->init != NULL && ret->meth->init(ret) == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_INIT_FAIL);
goto err;
}
return ret;
err:
EC_KEY_free(ret);
return NULL;
}
#ifndef FIPS_MODULE
EC_KEY *EC_KEY_new_method(ENGINE *engine)
{
return ossl_ec_key_new_method_int(NULL, NULL, engine);
}
#endif
int ECDH_compute_key(void *out, size_t outlen, const EC_POINT *pub_key,
const EC_KEY *eckey,
void *(*KDF) (const void *in, size_t inlen, void *out,
size_t *outlen))
{
unsigned char *sec = NULL;
size_t seclen;
if (eckey->meth->compute_key == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_OPERATION_NOT_SUPPORTED);
return 0;
}
if (outlen > INT_MAX) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_OUTPUT_LENGTH);
return 0;
}
if (!eckey->meth->compute_key(&sec, &seclen, pub_key, eckey))
return 0;
if (KDF != NULL) {
KDF(sec, seclen, out, &outlen);
} else {
if (outlen > seclen)
outlen = seclen;
memcpy(out, sec, outlen);
}
OPENSSL_clear_free(sec, seclen);
return outlen;
}
EC_KEY_METHOD *EC_KEY_METHOD_new(const EC_KEY_METHOD *meth)
{
EC_KEY_METHOD *ret = OPENSSL_zalloc(sizeof(*meth));
if (ret == NULL)
return NULL;
if (meth != NULL)
*ret = *meth;
ret->flags |= EC_KEY_METHOD_DYNAMIC;
return ret;
}
void EC_KEY_METHOD_free(EC_KEY_METHOD *meth)
{
if (meth->flags & EC_KEY_METHOD_DYNAMIC)
OPENSSL_free(meth);
}
void EC_KEY_METHOD_set_init(EC_KEY_METHOD *meth,
int (*init)(EC_KEY *key),
void (*finish)(EC_KEY *key),
int (*copy)(EC_KEY *dest, const EC_KEY *src),
int (*set_group)(EC_KEY *key, const EC_GROUP *grp),
int (*set_private)(EC_KEY *key,
const BIGNUM *priv_key),
int (*set_public)(EC_KEY *key,
const EC_POINT *pub_key))
{
meth->init = init;
meth->finish = finish;
meth->copy = copy;
meth->set_group = set_group;
meth->set_private = set_private;
meth->set_public = set_public;
}
void EC_KEY_METHOD_set_keygen(EC_KEY_METHOD *meth,
int (*keygen)(EC_KEY *key))
{
meth->keygen = keygen;
}
void EC_KEY_METHOD_set_compute_key(EC_KEY_METHOD *meth,
int (*ckey)(unsigned char **psec,
size_t *pseclen,
const EC_POINT *pub_key,
const EC_KEY *ecdh))
{
meth->compute_key = ckey;
}
void EC_KEY_METHOD_set_sign(EC_KEY_METHOD *meth,
int (*sign)(int type, const unsigned char *dgst,
int dlen, unsigned char *sig,
unsigned int *siglen,
const BIGNUM *kinv, const BIGNUM *r,
EC_KEY *eckey),
int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in,
BIGNUM **kinvp, BIGNUM **rp),
ECDSA_SIG *(*sign_sig)(const unsigned char *dgst,
int dgst_len,
const BIGNUM *in_kinv,
const BIGNUM *in_r,
EC_KEY *eckey))
{
meth->sign = sign;
meth->sign_setup = sign_setup;
meth->sign_sig = sign_sig;
}
void EC_KEY_METHOD_set_verify(EC_KEY_METHOD *meth,
int (*verify)(int type, const unsigned
char *dgst, int dgst_len,
const unsigned char *sigbuf,
int sig_len, EC_KEY *eckey),
int (*verify_sig)(const unsigned char *dgst,
int dgst_len,
const ECDSA_SIG *sig,
EC_KEY *eckey))
{
meth->verify = verify;
meth->verify_sig = verify_sig;
}
void EC_KEY_METHOD_get_init(const EC_KEY_METHOD *meth,
int (**pinit)(EC_KEY *key),
void (**pfinish)(EC_KEY *key),
int (**pcopy)(EC_KEY *dest, const EC_KEY *src),
int (**pset_group)(EC_KEY *key,
const EC_GROUP *grp),
int (**pset_private)(EC_KEY *key,
const BIGNUM *priv_key),
int (**pset_public)(EC_KEY *key,
const EC_POINT *pub_key))
{
if (pinit != NULL)
*pinit = meth->init;
if (pfinish != NULL)
*pfinish = meth->finish;
if (pcopy != NULL)
*pcopy = meth->copy;
if (pset_group != NULL)
*pset_group = meth->set_group;
if (pset_private != NULL)
*pset_private = meth->set_private;
if (pset_public != NULL)
*pset_public = meth->set_public;
}
void EC_KEY_METHOD_get_keygen(const EC_KEY_METHOD *meth,
int (**pkeygen)(EC_KEY *key))
{
if (pkeygen != NULL)
*pkeygen = meth->keygen;
}
void EC_KEY_METHOD_get_compute_key(const EC_KEY_METHOD *meth,
int (**pck)(unsigned char **pout,
size_t *poutlen,
const EC_POINT *pub_key,
const EC_KEY *ecdh))
{
if (pck != NULL)
*pck = meth->compute_key;
}
void EC_KEY_METHOD_get_sign(const EC_KEY_METHOD *meth,
int (**psign)(int type, const unsigned char *dgst,
int dlen, unsigned char *sig,
unsigned int *siglen,
const BIGNUM *kinv, const BIGNUM *r,
EC_KEY *eckey),
int (**psign_setup)(EC_KEY *eckey, BN_CTX *ctx_in,
BIGNUM **kinvp, BIGNUM **rp),
ECDSA_SIG *(**psign_sig)(const unsigned char *dgst,
int dgst_len,
const BIGNUM *in_kinv,
const BIGNUM *in_r,
EC_KEY *eckey))
{
if (psign != NULL)
*psign = meth->sign;
if (psign_setup != NULL)
*psign_setup = meth->sign_setup;
if (psign_sig != NULL)
*psign_sig = meth->sign_sig;
}
void EC_KEY_METHOD_get_verify(const EC_KEY_METHOD *meth,
int (**pverify)(int type, const unsigned
char *dgst, int dgst_len,
const unsigned char *sigbuf,
int sig_len, EC_KEY *eckey),
int (**pverify_sig)(const unsigned char *dgst,
int dgst_len,
const ECDSA_SIG *sig,
EC_KEY *eckey))
{
if (pverify != NULL)
*pverify = meth->verify;
if (pverify_sig != NULL)
*pverify_sig = meth->verify_sig;
}
|
./openssl/crypto/ec/ecp_oct.c | /*
* Copyright 2011-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <openssl/err.h>
#include <openssl/symhacks.h>
#include "ec_local.h"
int ossl_ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *group,
EC_POINT *point,
const BIGNUM *x_, int y_bit,
BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
BIGNUM *tmp1, *tmp2, *x, *y;
int ret = 0;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
return 0;
}
y_bit = (y_bit != 0);
BN_CTX_start(ctx);
tmp1 = BN_CTX_get(ctx);
tmp2 = BN_CTX_get(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
if (y == NULL)
goto err;
/*-
* Recover y. We have a Weierstrass equation
* y^2 = x^3 + a*x + b,
* so y is one of the square roots of x^3 + a*x + b.
*/
/* tmp1 := x^3 */
if (!BN_nnmod(x, x_, group->field, ctx))
goto err;
if (group->meth->field_decode == 0) {
/* field_{sqr,mul} work on standard representation */
if (!group->meth->field_sqr(group, tmp2, x_, ctx))
goto err;
if (!group->meth->field_mul(group, tmp1, tmp2, x_, ctx))
goto err;
} else {
if (!BN_mod_sqr(tmp2, x_, group->field, ctx))
goto err;
if (!BN_mod_mul(tmp1, tmp2, x_, group->field, ctx))
goto err;
}
/* tmp1 := tmp1 + a*x */
if (group->a_is_minus3) {
if (!BN_mod_lshift1_quick(tmp2, x, group->field))
goto err;
if (!BN_mod_add_quick(tmp2, tmp2, x, group->field))
goto err;
if (!BN_mod_sub_quick(tmp1, tmp1, tmp2, group->field))
goto err;
} else {
if (group->meth->field_decode) {
if (!group->meth->field_decode(group, tmp2, group->a, ctx))
goto err;
if (!BN_mod_mul(tmp2, tmp2, x, group->field, ctx))
goto err;
} else {
/* field_mul works on standard representation */
if (!group->meth->field_mul(group, tmp2, group->a, x, ctx))
goto err;
}
if (!BN_mod_add_quick(tmp1, tmp1, tmp2, group->field))
goto err;
}
/* tmp1 := tmp1 + b */
if (group->meth->field_decode) {
if (!group->meth->field_decode(group, tmp2, group->b, ctx))
goto err;
if (!BN_mod_add_quick(tmp1, tmp1, tmp2, group->field))
goto err;
} else {
if (!BN_mod_add_quick(tmp1, tmp1, group->b, group->field))
goto err;
}
ERR_set_mark();
if (!BN_mod_sqrt(y, tmp1, group->field, ctx)) {
#ifndef FIPS_MODULE
unsigned long err = ERR_peek_last_error();
if (ERR_GET_LIB(err) == ERR_LIB_BN
&& ERR_GET_REASON(err) == BN_R_NOT_A_SQUARE) {
ERR_pop_to_mark();
ERR_raise(ERR_LIB_EC, EC_R_INVALID_COMPRESSED_POINT);
} else
#endif
{
ERR_clear_last_mark();
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
}
goto err;
}
ERR_clear_last_mark();
if (y_bit != BN_is_odd(y)) {
if (BN_is_zero(y)) {
int kron;
kron = BN_kronecker(x, group->field, ctx);
if (kron == -2)
goto err;
if (kron == 1)
ERR_raise(ERR_LIB_EC, EC_R_INVALID_COMPRESSION_BIT);
else
/*
* BN_mod_sqrt() should have caught this error (not a square)
*/
ERR_raise(ERR_LIB_EC, EC_R_INVALID_COMPRESSED_POINT);
goto err;
}
if (!BN_usub(y, group->field, y))
goto err;
}
if (y_bit != BN_is_odd(y)) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
goto err;
}
if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
goto err;
ret = 1;
err:
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return ret;
}
size_t ossl_ec_GFp_simple_point2oct(const EC_GROUP *group, const EC_POINT *point,
point_conversion_form_t form,
unsigned char *buf, size_t len, BN_CTX *ctx)
{
size_t ret;
BN_CTX *new_ctx = NULL;
int used_ctx = 0;
BIGNUM *x, *y;
size_t field_len, i, skip;
if ((form != POINT_CONVERSION_COMPRESSED)
&& (form != POINT_CONVERSION_UNCOMPRESSED)
&& (form != POINT_CONVERSION_HYBRID)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_FORM);
goto err;
}
if (EC_POINT_is_at_infinity(group, point)) {
/* encodes to a single 0 octet */
if (buf != NULL) {
if (len < 1) {
ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
return 0;
}
buf[0] = 0;
}
return 1;
}
/* ret := required output buffer length */
field_len = BN_num_bytes(group->field);
ret =
(form ==
POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
/* if 'buf' is NULL, just return required length */
if (buf != NULL) {
if (len < ret) {
ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
goto err;
}
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
return 0;
}
BN_CTX_start(ctx);
used_ctx = 1;
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
if (y == NULL)
goto err;
if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx))
goto err;
if ((form == POINT_CONVERSION_COMPRESSED
|| form == POINT_CONVERSION_HYBRID) && BN_is_odd(y))
buf[0] = form + 1;
else
buf[0] = form;
i = 1;
skip = field_len - BN_num_bytes(x);
if (skip > field_len) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
goto err;
}
while (skip > 0) {
buf[i++] = 0;
skip--;
}
skip = BN_bn2bin(x, buf + i);
i += skip;
if (i != 1 + field_len) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
goto err;
}
if (form == POINT_CONVERSION_UNCOMPRESSED
|| form == POINT_CONVERSION_HYBRID) {
skip = field_len - BN_num_bytes(y);
if (skip > field_len) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
goto err;
}
while (skip > 0) {
buf[i++] = 0;
skip--;
}
skip = BN_bn2bin(y, buf + i);
i += skip;
}
if (i != ret) {
ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR);
goto err;
}
}
if (used_ctx)
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return ret;
err:
if (used_ctx)
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return 0;
}
int ossl_ec_GFp_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
const unsigned char *buf, size_t len,
BN_CTX *ctx)
{
point_conversion_form_t form;
int y_bit;
BN_CTX *new_ctx = NULL;
BIGNUM *x, *y;
size_t field_len, enc_len;
int ret = 0;
if (len == 0) {
ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
return 0;
}
form = buf[0];
y_bit = form & 1;
form = form & ~1U;
if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
&& (form != POINT_CONVERSION_UNCOMPRESSED)
&& (form != POINT_CONVERSION_HYBRID)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
return 0;
}
if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
return 0;
}
if (form == 0) {
if (len != 1) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
return 0;
}
return EC_POINT_set_to_infinity(group, point);
}
field_len = BN_num_bytes(group->field);
enc_len =
(form ==
POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
if (len != enc_len) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
return 0;
}
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
return 0;
}
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
if (y == NULL)
goto err;
if (!BN_bin2bn(buf + 1, field_len, x))
goto err;
if (BN_ucmp(x, group->field) >= 0) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
goto err;
}
if (form == POINT_CONVERSION_COMPRESSED) {
if (!EC_POINT_set_compressed_coordinates(group, point, x, y_bit, ctx))
goto err;
} else {
if (!BN_bin2bn(buf + 1 + field_len, field_len, y))
goto err;
if (BN_ucmp(y, group->field) >= 0) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
goto err;
}
if (form == POINT_CONVERSION_HYBRID) {
if (y_bit != BN_is_odd(y)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
goto err;
}
}
/*
* EC_POINT_set_affine_coordinates is responsible for checking that
* the point is on the curve.
*/
if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
goto err;
}
ret = 1;
err:
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return ret;
}
|
./openssl/crypto/ec/ec_print.c | /*
* Copyright 2002-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <string.h> /* strlen */
#include <openssl/crypto.h>
#include "ec_local.h"
static const char *HEX_DIGITS = "0123456789ABCDEF";
/* the return value must be freed (using OPENSSL_free()) */
char *EC_POINT_point2hex(const EC_GROUP *group,
const EC_POINT *point,
point_conversion_form_t form, BN_CTX *ctx)
{
char *ret, *p;
size_t buf_len = 0, i;
unsigned char *buf = NULL, *pbuf;
buf_len = EC_POINT_point2buf(group, point, form, &buf, ctx);
if (buf_len == 0)
return NULL;
ret = OPENSSL_malloc(buf_len * 2 + 2);
if (ret == NULL) {
OPENSSL_free(buf);
return NULL;
}
p = ret;
pbuf = buf;
for (i = buf_len; i > 0; i--) {
int v = (int)*(pbuf++);
*(p++) = HEX_DIGITS[v >> 4];
*(p++) = HEX_DIGITS[v & 0x0F];
}
*p = '\0';
OPENSSL_free(buf);
return ret;
}
EC_POINT *EC_POINT_hex2point(const EC_GROUP *group,
const char *hex, EC_POINT *point, BN_CTX *ctx)
{
int ok = 0;
unsigned char *oct_buf = NULL;
size_t len, oct_buf_len = 0;
EC_POINT *pt = NULL;
if (group == NULL || hex == NULL)
return NULL;
if (point == NULL) {
pt = EC_POINT_new(group);
if (pt == NULL)
goto err;
} else {
pt = point;
}
len = strlen(hex) / 2;
oct_buf = OPENSSL_malloc(len);
if (oct_buf == NULL)
goto err;
if (!OPENSSL_hexstr2buf_ex(oct_buf, len, &oct_buf_len, hex, '\0')
|| !EC_POINT_oct2point(group, pt, oct_buf, oct_buf_len, ctx))
goto err;
ok = 1;
err:
OPENSSL_clear_free(oct_buf, oct_buf_len);
if (!ok) {
if (pt != point)
EC_POINT_clear_free(pt);
pt = NULL;
}
return pt;
}
|
./openssl/crypto/ec/ec_check.c | /*
* Copyright 2002-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include "ec_local.h"
#include <openssl/err.h>
int EC_GROUP_check_named_curve(const EC_GROUP *group, int nist_only,
BN_CTX *ctx)
{
int nid;
BN_CTX *new_ctx = NULL;
if (group == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return NID_undef;
}
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(NULL);
if (ctx == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return NID_undef;
}
}
nid = ossl_ec_curve_nid_from_params(group, ctx);
if (nid > 0 && nist_only && EC_curve_nid2nist(nid) == NULL)
nid = NID_undef;
BN_CTX_free(new_ctx);
return nid;
}
int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx)
{
#ifdef FIPS_MODULE
/*
* ECC domain parameter validation.
* See SP800-56A R3 5.5.2 "Assurances of Domain-Parameter Validity" Part 1b.
*/
return EC_GROUP_check_named_curve(group, 1, ctx) >= 0 ? 1 : 0;
#else
int ret = 0;
const BIGNUM *order;
BN_CTX *new_ctx = NULL;
EC_POINT *point = NULL;
if (group == NULL || group->meth == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
/* Custom curves assumed to be correct */
if ((group->meth->flags & EC_FLAGS_CUSTOM_CURVE) != 0)
return 1;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
}
/* check the discriminant */
if (!EC_GROUP_check_discriminant(group, ctx)) {
ERR_raise(ERR_LIB_EC, EC_R_DISCRIMINANT_IS_ZERO);
goto err;
}
/* check the generator */
if (group->generator == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_UNDEFINED_GENERATOR);
goto err;
}
if (EC_POINT_is_on_curve(group, group->generator, ctx) <= 0) {
ERR_raise(ERR_LIB_EC, EC_R_POINT_IS_NOT_ON_CURVE);
goto err;
}
/* check the order of the generator */
if ((point = EC_POINT_new(group)) == NULL)
goto err;
order = EC_GROUP_get0_order(group);
if (order == NULL)
goto err;
if (BN_is_zero(order)) {
ERR_raise(ERR_LIB_EC, EC_R_UNDEFINED_ORDER);
goto err;
}
if (!EC_POINT_mul(group, point, order, NULL, NULL, ctx))
goto err;
if (!EC_POINT_is_at_infinity(group, point)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_GROUP_ORDER);
goto err;
}
ret = 1;
err:
BN_CTX_free(new_ctx);
EC_POINT_free(point);
return ret;
#endif /* FIPS_MODULE */
}
|
./openssl/crypto/ec/ec_err.c | /*
* Generated by util/mkerr.pl DO NOT EDIT
* Copyright 1995-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <openssl/err.h>
#include <openssl/ecerr.h>
#include "crypto/ecerr.h"
#ifndef OPENSSL_NO_EC
# ifndef OPENSSL_NO_ERR
static const ERR_STRING_DATA EC_str_reasons[] = {
{ERR_PACK(ERR_LIB_EC, 0, EC_R_ASN1_ERROR), "asn1 error"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_BAD_SIGNATURE), "bad signature"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_BIGNUM_OUT_OF_RANGE), "bignum out of range"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_BUFFER_TOO_SMALL), "buffer too small"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_CANNOT_INVERT), "cannot invert"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_COORDINATES_OUT_OF_RANGE),
"coordinates out of range"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_CURVE_DOES_NOT_SUPPORT_ECDH),
"curve does not support ecdh"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_CURVE_DOES_NOT_SUPPORT_ECDSA),
"curve does not support ecdsa"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING),
"curve does not support signing"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_DECODE_ERROR), "decode error"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_DISCRIMINANT_IS_ZERO),
"discriminant is zero"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_EC_GROUP_NEW_BY_NAME_FAILURE),
"ec group new by name failure"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_EXPLICIT_PARAMS_NOT_SUPPORTED),
"explicit params not supported"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_FAILED_MAKING_PUBLIC_KEY),
"failed making public key"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_FIELD_TOO_LARGE), "field too large"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_GF2M_NOT_SUPPORTED), "gf2m not supported"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_GROUP2PKPARAMETERS_FAILURE),
"group2pkparameters failure"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_I2D_ECPKPARAMETERS_FAILURE),
"i2d ecpkparameters failure"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INCOMPATIBLE_OBJECTS),
"incompatible objects"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_A), "invalid a"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_ARGUMENT), "invalid argument"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_B), "invalid b"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_COFACTOR), "invalid cofactor"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_COMPRESSED_POINT),
"invalid compressed point"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_COMPRESSION_BIT),
"invalid compression bit"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_CURVE), "invalid curve"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_DIGEST), "invalid digest"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_DIGEST_TYPE), "invalid digest type"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_ENCODING), "invalid encoding"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_FIELD), "invalid field"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_FORM), "invalid form"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_GENERATOR), "invalid generator"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_GROUP_ORDER), "invalid group order"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_KEY), "invalid key"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_LENGTH), "invalid length"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_NAMED_GROUP_CONVERSION),
"invalid named group conversion"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_OUTPUT_LENGTH),
"invalid output length"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_P), "invalid p"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_PEER_KEY), "invalid peer key"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_PENTANOMIAL_BASIS),
"invalid pentanomial basis"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_PRIVATE_KEY), "invalid private key"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_SEED), "invalid seed"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_INVALID_TRINOMIAL_BASIS),
"invalid trinomial basis"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_KDF_PARAMETER_ERROR), "kdf parameter error"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_KEYS_NOT_SET), "keys not set"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_LADDER_POST_FAILURE), "ladder post failure"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_LADDER_PRE_FAILURE), "ladder pre failure"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_LADDER_STEP_FAILURE), "ladder step failure"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_MISSING_OID), "missing OID"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_MISSING_PARAMETERS), "missing parameters"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_MISSING_PRIVATE_KEY), "missing private key"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_NEED_NEW_SETUP_VALUES),
"need new setup values"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_NOT_A_NIST_PRIME), "not a NIST prime"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_NOT_IMPLEMENTED), "not implemented"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_NOT_INITIALIZED), "not initialized"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_NO_PARAMETERS_SET), "no parameters set"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_NO_PRIVATE_VALUE), "no private value"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_OPERATION_NOT_SUPPORTED),
"operation not supported"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_PASSED_NULL_PARAMETER),
"passed null parameter"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_PEER_KEY_ERROR), "peer key error"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_POINT_ARITHMETIC_FAILURE),
"point arithmetic failure"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_POINT_AT_INFINITY), "point at infinity"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_POINT_COORDINATES_BLIND_FAILURE),
"point coordinates blind failure"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_POINT_IS_NOT_ON_CURVE),
"point is not on curve"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_RANDOM_NUMBER_GENERATION_FAILED),
"random number generation failed"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_SHARED_INFO_ERROR), "shared info error"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_SLOT_FULL), "slot full"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_TOO_MANY_RETRIES), "too many retries"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_UNDEFINED_GENERATOR), "undefined generator"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_UNDEFINED_ORDER), "undefined order"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_UNKNOWN_COFACTOR), "unknown cofactor"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_UNKNOWN_GROUP), "unknown group"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_UNKNOWN_ORDER), "unknown order"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_UNSUPPORTED_FIELD), "unsupported field"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_WRONG_CURVE_PARAMETERS),
"wrong curve parameters"},
{ERR_PACK(ERR_LIB_EC, 0, EC_R_WRONG_ORDER), "wrong order"},
{0, NULL}
};
# endif
int ossl_err_load_EC_strings(void)
{
# ifndef OPENSSL_NO_ERR
if (ERR_reason_error_string(EC_str_reasons[0].error) == NULL)
ERR_load_strings_const(EC_str_reasons);
# endif
return 1;
}
#else
NON_EMPTY_TRANSLATION_UNIT
#endif
|
./openssl/crypto/ec/ecx_meth.c | /*
* Copyright 2006-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <stdio.h>
#include <openssl/x509.h>
#include <openssl/ec.h>
#include <openssl/core_names.h>
#include <openssl/param_build.h>
#include <openssl/rand.h>
#include "internal/cryptlib.h"
#include "internal/provider.h"
#include "crypto/asn1.h"
#include "crypto/evp.h"
#include "crypto/ecx.h"
#include "ec_local.h"
#include "curve448/curve448_local.h"
#include "ecx_backend.h"
static int ecx_pub_encode(X509_PUBKEY *pk, const EVP_PKEY *pkey)
{
const ECX_KEY *ecxkey = pkey->pkey.ecx;
unsigned char *penc;
if (ecxkey == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_KEY);
return 0;
}
penc = OPENSSL_memdup(ecxkey->pubkey, KEYLEN(pkey));
if (penc == NULL)
return 0;
if (!X509_PUBKEY_set0_param(pk, OBJ_nid2obj(pkey->ameth->pkey_id),
V_ASN1_UNDEF, NULL, penc, KEYLEN(pkey))) {
OPENSSL_free(penc);
ERR_raise(ERR_LIB_EC, ERR_R_X509_LIB);
return 0;
}
return 1;
}
static int ecx_pub_decode(EVP_PKEY *pkey, const X509_PUBKEY *pubkey)
{
const unsigned char *p;
int pklen;
X509_ALGOR *palg;
ECX_KEY *ecx;
int ret = 0;
if (!X509_PUBKEY_get0_param(NULL, &p, &pklen, &palg, pubkey))
return 0;
ecx = ossl_ecx_key_op(palg, p, pklen, pkey->ameth->pkey_id,
KEY_OP_PUBLIC, NULL, NULL);
if (ecx != NULL) {
ret = 1;
EVP_PKEY_assign(pkey, pkey->ameth->pkey_id, ecx);
}
return ret;
}
static int ecx_pub_cmp(const EVP_PKEY *a, const EVP_PKEY *b)
{
const ECX_KEY *akey = a->pkey.ecx;
const ECX_KEY *bkey = b->pkey.ecx;
if (akey == NULL || bkey == NULL)
return -2;
return CRYPTO_memcmp(akey->pubkey, bkey->pubkey, KEYLEN(a)) == 0;
}
static int ecx_priv_decode_ex(EVP_PKEY *pkey, const PKCS8_PRIV_KEY_INFO *p8,
OSSL_LIB_CTX *libctx, const char *propq)
{
int ret = 0;
ECX_KEY *ecx = ossl_ecx_key_from_pkcs8(p8, libctx, propq);
if (ecx != NULL) {
ret = 1;
EVP_PKEY_assign(pkey, pkey->ameth->pkey_id, ecx);
}
return ret;
}
static int ecx_priv_encode(PKCS8_PRIV_KEY_INFO *p8, const EVP_PKEY *pkey)
{
const ECX_KEY *ecxkey = pkey->pkey.ecx;
ASN1_OCTET_STRING oct;
unsigned char *penc = NULL;
int penclen;
if (ecxkey == NULL || ecxkey->privkey == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_PRIVATE_KEY);
return 0;
}
oct.data = ecxkey->privkey;
oct.length = KEYLEN(pkey);
oct.flags = 0;
penclen = i2d_ASN1_OCTET_STRING(&oct, &penc);
if (penclen < 0) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
return 0;
}
if (!PKCS8_pkey_set0(p8, OBJ_nid2obj(pkey->ameth->pkey_id), 0,
V_ASN1_UNDEF, NULL, penc, penclen)) {
OPENSSL_clear_free(penc, penclen);
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
return 0;
}
return 1;
}
static int ecx_size(const EVP_PKEY *pkey)
{
return KEYLEN(pkey);
}
static int ecx_bits(const EVP_PKEY *pkey)
{
if (IS25519(pkey->ameth->pkey_id)) {
return X25519_BITS;
} else if (ISX448(pkey->ameth->pkey_id)) {
return X448_BITS;
} else {
return ED448_BITS;
}
}
static int ecx_security_bits(const EVP_PKEY *pkey)
{
if (IS25519(pkey->ameth->pkey_id)) {
return X25519_SECURITY_BITS;
} else {
return X448_SECURITY_BITS;
}
}
static void ecx_free(EVP_PKEY *pkey)
{
ossl_ecx_key_free(pkey->pkey.ecx);
}
/* "parameters" are always equal */
static int ecx_cmp_parameters(const EVP_PKEY *a, const EVP_PKEY *b)
{
return 1;
}
static int ecx_key_print(BIO *bp, const EVP_PKEY *pkey, int indent,
ASN1_PCTX *ctx, ecx_key_op_t op)
{
const ECX_KEY *ecxkey = pkey->pkey.ecx;
const char *nm = OBJ_nid2ln(pkey->ameth->pkey_id);
if (op == KEY_OP_PRIVATE) {
if (ecxkey == NULL || ecxkey->privkey == NULL) {
if (BIO_printf(bp, "%*s<INVALID PRIVATE KEY>\n", indent, "") <= 0)
return 0;
return 1;
}
if (BIO_printf(bp, "%*s%s Private-Key:\n", indent, "", nm) <= 0)
return 0;
if (BIO_printf(bp, "%*spriv:\n", indent, "") <= 0)
return 0;
if (ASN1_buf_print(bp, ecxkey->privkey, KEYLEN(pkey),
indent + 4) == 0)
return 0;
} else {
if (ecxkey == NULL) {
if (BIO_printf(bp, "%*s<INVALID PUBLIC KEY>\n", indent, "") <= 0)
return 0;
return 1;
}
if (BIO_printf(bp, "%*s%s Public-Key:\n", indent, "", nm) <= 0)
return 0;
}
if (BIO_printf(bp, "%*spub:\n", indent, "") <= 0)
return 0;
if (ASN1_buf_print(bp, ecxkey->pubkey, KEYLEN(pkey),
indent + 4) == 0)
return 0;
return 1;
}
static int ecx_priv_print(BIO *bp, const EVP_PKEY *pkey, int indent,
ASN1_PCTX *ctx)
{
return ecx_key_print(bp, pkey, indent, ctx, KEY_OP_PRIVATE);
}
static int ecx_pub_print(BIO *bp, const EVP_PKEY *pkey, int indent,
ASN1_PCTX *ctx)
{
return ecx_key_print(bp, pkey, indent, ctx, KEY_OP_PUBLIC);
}
static int ecx_ctrl(EVP_PKEY *pkey, int op, long arg1, void *arg2)
{
switch (op) {
case ASN1_PKEY_CTRL_SET1_TLS_ENCPT: {
ECX_KEY *ecx = ossl_ecx_key_op(NULL, arg2, arg1, pkey->ameth->pkey_id,
KEY_OP_PUBLIC, NULL, NULL);
if (ecx != NULL) {
EVP_PKEY_assign(pkey, pkey->ameth->pkey_id, ecx);
return 1;
}
return 0;
}
case ASN1_PKEY_CTRL_GET1_TLS_ENCPT:
if (pkey->pkey.ecx != NULL) {
unsigned char **ppt = arg2;
*ppt = OPENSSL_memdup(pkey->pkey.ecx->pubkey, KEYLEN(pkey));
if (*ppt != NULL)
return KEYLEN(pkey);
}
return 0;
default:
return -2;
}
}
static int ecd_ctrl(EVP_PKEY *pkey, int op, long arg1, void *arg2)
{
switch (op) {
case ASN1_PKEY_CTRL_DEFAULT_MD_NID:
/* We currently only support Pure EdDSA which takes no digest */
*(int *)arg2 = NID_undef;
return 2;
default:
return -2;
}
}
static int ecx_set_priv_key(EVP_PKEY *pkey, const unsigned char *priv,
size_t len)
{
OSSL_LIB_CTX *libctx = NULL;
ECX_KEY *ecx = NULL;
if (pkey->keymgmt != NULL)
libctx = ossl_provider_libctx(EVP_KEYMGMT_get0_provider(pkey->keymgmt));
ecx = ossl_ecx_key_op(NULL, priv, len, pkey->ameth->pkey_id,
KEY_OP_PRIVATE, libctx, NULL);
if (ecx != NULL) {
EVP_PKEY_assign(pkey, pkey->ameth->pkey_id, ecx);
return 1;
}
return 0;
}
static int ecx_set_pub_key(EVP_PKEY *pkey, const unsigned char *pub, size_t len)
{
OSSL_LIB_CTX *libctx = NULL;
ECX_KEY *ecx = NULL;
if (pkey->keymgmt != NULL)
libctx = ossl_provider_libctx(EVP_KEYMGMT_get0_provider(pkey->keymgmt));
ecx = ossl_ecx_key_op(NULL, pub, len, pkey->ameth->pkey_id,
KEY_OP_PUBLIC, libctx, NULL);
if (ecx != NULL) {
EVP_PKEY_assign(pkey, pkey->ameth->pkey_id, ecx);
return 1;
}
return 0;
}
static int ecx_get_priv_key(const EVP_PKEY *pkey, unsigned char *priv,
size_t *len)
{
const ECX_KEY *key = pkey->pkey.ecx;
if (priv == NULL) {
*len = KEYLENID(pkey->ameth->pkey_id);
return 1;
}
if (key == NULL
|| key->privkey == NULL
|| *len < (size_t)KEYLENID(pkey->ameth->pkey_id))
return 0;
*len = KEYLENID(pkey->ameth->pkey_id);
memcpy(priv, key->privkey, *len);
return 1;
}
static int ecx_get_pub_key(const EVP_PKEY *pkey, unsigned char *pub,
size_t *len)
{
const ECX_KEY *key = pkey->pkey.ecx;
if (pub == NULL) {
*len = KEYLENID(pkey->ameth->pkey_id);
return 1;
}
if (key == NULL
|| *len < (size_t)KEYLENID(pkey->ameth->pkey_id))
return 0;
*len = KEYLENID(pkey->ameth->pkey_id);
memcpy(pub, key->pubkey, *len);
return 1;
}
static size_t ecx_pkey_dirty_cnt(const EVP_PKEY *pkey)
{
/*
* We provide no mechanism to "update" an ECX key once it has been set,
* therefore we do not have to maintain a dirty count.
*/
return 1;
}
static int ecx_pkey_export_to(const EVP_PKEY *from, void *to_keydata,
OSSL_FUNC_keymgmt_import_fn *importer,
OSSL_LIB_CTX *libctx, const char *propq)
{
const ECX_KEY *key = from->pkey.ecx;
OSSL_PARAM_BLD *tmpl = OSSL_PARAM_BLD_new();
OSSL_PARAM *params = NULL;
int selection = 0;
int rv = 0;
if (tmpl == NULL)
return 0;
/* A key must at least have a public part */
if (!OSSL_PARAM_BLD_push_octet_string(tmpl, OSSL_PKEY_PARAM_PUB_KEY,
key->pubkey, key->keylen))
goto err;
selection |= OSSL_KEYMGMT_SELECT_PUBLIC_KEY;
if (key->privkey != NULL) {
if (!OSSL_PARAM_BLD_push_octet_string(tmpl,
OSSL_PKEY_PARAM_PRIV_KEY,
key->privkey, key->keylen))
goto err;
selection |= OSSL_KEYMGMT_SELECT_PRIVATE_KEY;
}
params = OSSL_PARAM_BLD_to_param(tmpl);
/* We export, the provider imports */
rv = importer(to_keydata, selection, params);
err:
OSSL_PARAM_BLD_free(tmpl);
OSSL_PARAM_free(params);
return rv;
}
static int ecx_generic_import_from(const OSSL_PARAM params[], void *vpctx,
int keytype)
{
EVP_PKEY_CTX *pctx = vpctx;
EVP_PKEY *pkey = EVP_PKEY_CTX_get0_pkey(pctx);
ECX_KEY *ecx = ossl_ecx_key_new(pctx->libctx, KEYNID2TYPE(keytype), 0,
pctx->propquery);
if (ecx == NULL) {
ERR_raise(ERR_LIB_DH, ERR_R_EC_LIB);
return 0;
}
if (!ossl_ecx_key_fromdata(ecx, params, 1)
|| !EVP_PKEY_assign(pkey, keytype, ecx)) {
ossl_ecx_key_free(ecx);
return 0;
}
return 1;
}
static int ecx_pkey_copy(EVP_PKEY *to, EVP_PKEY *from)
{
ECX_KEY *ecx = from->pkey.ecx, *dupkey = NULL;
int ret;
if (ecx != NULL) {
dupkey = ossl_ecx_key_dup(ecx, OSSL_KEYMGMT_SELECT_ALL);
if (dupkey == NULL)
return 0;
}
ret = EVP_PKEY_assign(to, from->type, dupkey);
if (!ret)
ossl_ecx_key_free(dupkey);
return ret;
}
static int x25519_import_from(const OSSL_PARAM params[], void *vpctx)
{
return ecx_generic_import_from(params, vpctx, EVP_PKEY_X25519);
}
const EVP_PKEY_ASN1_METHOD ossl_ecx25519_asn1_meth = {
EVP_PKEY_X25519,
EVP_PKEY_X25519,
0,
"X25519",
"OpenSSL X25519 algorithm",
ecx_pub_decode,
ecx_pub_encode,
ecx_pub_cmp,
ecx_pub_print,
NULL,
ecx_priv_encode,
ecx_priv_print,
ecx_size,
ecx_bits,
ecx_security_bits,
0, 0, 0, 0,
ecx_cmp_parameters,
0, 0,
ecx_free,
ecx_ctrl,
NULL,
NULL,
NULL,
NULL,
NULL,
NULL,
NULL,
NULL,
ecx_set_priv_key,
ecx_set_pub_key,
ecx_get_priv_key,
ecx_get_pub_key,
ecx_pkey_dirty_cnt,
ecx_pkey_export_to,
x25519_import_from,
ecx_pkey_copy,
ecx_priv_decode_ex
};
static int x448_import_from(const OSSL_PARAM params[], void *vpctx)
{
return ecx_generic_import_from(params, vpctx, EVP_PKEY_X448);
}
const EVP_PKEY_ASN1_METHOD ossl_ecx448_asn1_meth = {
EVP_PKEY_X448,
EVP_PKEY_X448,
0,
"X448",
"OpenSSL X448 algorithm",
ecx_pub_decode,
ecx_pub_encode,
ecx_pub_cmp,
ecx_pub_print,
NULL,
ecx_priv_encode,
ecx_priv_print,
ecx_size,
ecx_bits,
ecx_security_bits,
0, 0, 0, 0,
ecx_cmp_parameters,
0, 0,
ecx_free,
ecx_ctrl,
NULL,
NULL,
NULL,
NULL,
NULL,
NULL,
NULL,
NULL,
ecx_set_priv_key,
ecx_set_pub_key,
ecx_get_priv_key,
ecx_get_pub_key,
ecx_pkey_dirty_cnt,
ecx_pkey_export_to,
x448_import_from,
ecx_pkey_copy,
ecx_priv_decode_ex
};
static int ecd_size25519(const EVP_PKEY *pkey)
{
return ED25519_SIGSIZE;
}
static int ecd_size448(const EVP_PKEY *pkey)
{
return ED448_SIGSIZE;
}
static int ecd_item_verify(EVP_MD_CTX *ctx, const ASN1_ITEM *it,
const void *asn, const X509_ALGOR *sigalg,
const ASN1_BIT_STRING *str, EVP_PKEY *pkey)
{
const ASN1_OBJECT *obj;
int ptype;
int nid;
/* Sanity check: make sure it is ED25519/ED448 with absent parameters */
X509_ALGOR_get0(&obj, &ptype, NULL, sigalg);
nid = OBJ_obj2nid(obj);
if ((nid != NID_ED25519 && nid != NID_ED448) || ptype != V_ASN1_UNDEF) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
return 0;
}
if (!EVP_DigestVerifyInit(ctx, NULL, NULL, NULL, pkey))
return 0;
return 2;
}
static int ecd_item_sign(X509_ALGOR *alg1, X509_ALGOR *alg2, int nid)
{
/* Note that X509_ALGOR_set0(..., ..., V_ASN1_UNDEF, ...) cannot fail */
/* Set algorithms identifiers */
(void)X509_ALGOR_set0(alg1, OBJ_nid2obj(nid), V_ASN1_UNDEF, NULL);
if (alg2 != NULL)
(void)X509_ALGOR_set0(alg2, OBJ_nid2obj(nid), V_ASN1_UNDEF, NULL);
/* Algorithm identifiers set: carry on as normal */
return 3;
}
static int ecd_item_sign25519(EVP_MD_CTX *ctx, const ASN1_ITEM *it,
const void *asn,
X509_ALGOR *alg1, X509_ALGOR *alg2,
ASN1_BIT_STRING *str)
{
return ecd_item_sign(alg1, alg2, NID_ED25519);
}
static int ecd_sig_info_set25519(X509_SIG_INFO *siginf, const X509_ALGOR *alg,
const ASN1_STRING *sig)
{
X509_SIG_INFO_set(siginf, NID_undef, NID_ED25519, X25519_SECURITY_BITS,
X509_SIG_INFO_TLS);
return 1;
}
static int ecd_item_sign448(EVP_MD_CTX *ctx, const ASN1_ITEM *it,
const void *asn,
X509_ALGOR *alg1, X509_ALGOR *alg2,
ASN1_BIT_STRING *str)
{
return ecd_item_sign(alg1, alg2, NID_ED448);
}
static int ecd_sig_info_set448(X509_SIG_INFO *siginf, const X509_ALGOR *alg,
const ASN1_STRING *sig)
{
X509_SIG_INFO_set(siginf, NID_undef, NID_ED448, X448_SECURITY_BITS,
X509_SIG_INFO_TLS);
return 1;
}
static int ed25519_import_from(const OSSL_PARAM params[], void *vpctx)
{
return ecx_generic_import_from(params, vpctx, EVP_PKEY_ED25519);
}
const EVP_PKEY_ASN1_METHOD ossl_ed25519_asn1_meth = {
EVP_PKEY_ED25519,
EVP_PKEY_ED25519,
0,
"ED25519",
"OpenSSL ED25519 algorithm",
ecx_pub_decode,
ecx_pub_encode,
ecx_pub_cmp,
ecx_pub_print,
NULL,
ecx_priv_encode,
ecx_priv_print,
ecd_size25519,
ecx_bits,
ecx_security_bits,
0, 0, 0, 0,
ecx_cmp_parameters,
0, 0,
ecx_free,
ecd_ctrl,
NULL,
NULL,
ecd_item_verify,
ecd_item_sign25519,
ecd_sig_info_set25519,
NULL,
NULL,
NULL,
ecx_set_priv_key,
ecx_set_pub_key,
ecx_get_priv_key,
ecx_get_pub_key,
ecx_pkey_dirty_cnt,
ecx_pkey_export_to,
ed25519_import_from,
ecx_pkey_copy,
ecx_priv_decode_ex
};
static int ed448_import_from(const OSSL_PARAM params[], void *vpctx)
{
return ecx_generic_import_from(params, vpctx, EVP_PKEY_ED448);
}
const EVP_PKEY_ASN1_METHOD ossl_ed448_asn1_meth = {
EVP_PKEY_ED448,
EVP_PKEY_ED448,
0,
"ED448",
"OpenSSL ED448 algorithm",
ecx_pub_decode,
ecx_pub_encode,
ecx_pub_cmp,
ecx_pub_print,
NULL,
ecx_priv_encode,
ecx_priv_print,
ecd_size448,
ecx_bits,
ecx_security_bits,
0, 0, 0, 0,
ecx_cmp_parameters,
0, 0,
ecx_free,
ecd_ctrl,
NULL,
NULL,
ecd_item_verify,
ecd_item_sign448,
ecd_sig_info_set448,
NULL,
NULL,
NULL,
ecx_set_priv_key,
ecx_set_pub_key,
ecx_get_priv_key,
ecx_get_pub_key,
ecx_pkey_dirty_cnt,
ecx_pkey_export_to,
ed448_import_from,
ecx_pkey_copy,
ecx_priv_decode_ex
};
static int pkey_ecx_keygen(EVP_PKEY_CTX *ctx, EVP_PKEY *pkey)
{
ECX_KEY *ecx = ossl_ecx_key_op(NULL, NULL, 0, ctx->pmeth->pkey_id,
KEY_OP_KEYGEN, NULL, NULL);
if (ecx != NULL) {
EVP_PKEY_assign(pkey, ctx->pmeth->pkey_id, ecx);
return 1;
}
return 0;
}
static int validate_ecx_derive(EVP_PKEY_CTX *ctx, unsigned char *key,
size_t *keylen,
const unsigned char **privkey,
const unsigned char **pubkey)
{
const ECX_KEY *ecxkey, *peerkey;
if (ctx->pkey == NULL || ctx->peerkey == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_KEYS_NOT_SET);
return 0;
}
ecxkey = evp_pkey_get_legacy(ctx->pkey);
peerkey = evp_pkey_get_legacy(ctx->peerkey);
if (ecxkey == NULL || ecxkey->privkey == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_PRIVATE_KEY);
return 0;
}
if (peerkey == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_PEER_KEY);
return 0;
}
*privkey = ecxkey->privkey;
*pubkey = peerkey->pubkey;
return 1;
}
static int pkey_ecx_derive25519(EVP_PKEY_CTX *ctx, unsigned char *key,
size_t *keylen)
{
const unsigned char *privkey, *pubkey;
if (!validate_ecx_derive(ctx, key, keylen, &privkey, &pubkey)
|| (key != NULL
&& ossl_x25519(key, privkey, pubkey) == 0))
return 0;
*keylen = X25519_KEYLEN;
return 1;
}
static int pkey_ecx_derive448(EVP_PKEY_CTX *ctx, unsigned char *key,
size_t *keylen)
{
const unsigned char *privkey, *pubkey;
if (!validate_ecx_derive(ctx, key, keylen, &privkey, &pubkey)
|| (key != NULL
&& ossl_x448(key, privkey, pubkey) == 0))
return 0;
*keylen = X448_KEYLEN;
return 1;
}
static int pkey_ecx_ctrl(EVP_PKEY_CTX *ctx, int type, int p1, void *p2)
{
/* Only need to handle peer key for derivation */
if (type == EVP_PKEY_CTRL_PEER_KEY)
return 1;
return -2;
}
static const EVP_PKEY_METHOD ecx25519_pkey_meth = {
EVP_PKEY_X25519,
0, 0, 0, 0, 0, 0, 0,
pkey_ecx_keygen,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
pkey_ecx_derive25519,
pkey_ecx_ctrl,
0
};
static const EVP_PKEY_METHOD ecx448_pkey_meth = {
EVP_PKEY_X448,
0, 0, 0, 0, 0, 0, 0,
pkey_ecx_keygen,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
pkey_ecx_derive448,
pkey_ecx_ctrl,
0
};
static int pkey_ecd_digestsign25519(EVP_MD_CTX *ctx, unsigned char *sig,
size_t *siglen, const unsigned char *tbs,
size_t tbslen)
{
const ECX_KEY *edkey = evp_pkey_get_legacy(EVP_MD_CTX_get_pkey_ctx(ctx)->pkey);
if (edkey == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_KEY);
return 0;
}
if (sig == NULL) {
*siglen = ED25519_SIGSIZE;
return 1;
}
if (*siglen < ED25519_SIGSIZE) {
ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
return 0;
}
if (ossl_ed25519_sign(sig, tbs, tbslen, edkey->pubkey, edkey->privkey,
0, 0, 0,
NULL, 0,
NULL, NULL) == 0)
return 0;
*siglen = ED25519_SIGSIZE;
return 1;
}
static int pkey_ecd_digestsign448(EVP_MD_CTX *ctx, unsigned char *sig,
size_t *siglen, const unsigned char *tbs,
size_t tbslen)
{
const ECX_KEY *edkey = evp_pkey_get_legacy(EVP_MD_CTX_get_pkey_ctx(ctx)->pkey);
if (edkey == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_KEY);
return 0;
}
if (sig == NULL) {
*siglen = ED448_SIGSIZE;
return 1;
}
if (*siglen < ED448_SIGSIZE) {
ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
return 0;
}
if (ossl_ed448_sign(edkey->libctx, sig, tbs, tbslen, edkey->pubkey,
edkey->privkey, NULL, 0, 0, edkey->propq) == 0)
return 0;
*siglen = ED448_SIGSIZE;
return 1;
}
static int pkey_ecd_digestverify25519(EVP_MD_CTX *ctx, const unsigned char *sig,
size_t siglen, const unsigned char *tbs,
size_t tbslen)
{
const ECX_KEY *edkey = evp_pkey_get_legacy(EVP_MD_CTX_get_pkey_ctx(ctx)->pkey);
if (edkey == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_KEY);
return 0;
}
if (siglen != ED25519_SIGSIZE)
return 0;
return ossl_ed25519_verify(tbs, tbslen, sig, edkey->pubkey,
0, 0, 0,
NULL, 0,
edkey->libctx, edkey->propq);
}
static int pkey_ecd_digestverify448(EVP_MD_CTX *ctx, const unsigned char *sig,
size_t siglen, const unsigned char *tbs,
size_t tbslen)
{
const ECX_KEY *edkey = evp_pkey_get_legacy(EVP_MD_CTX_get_pkey_ctx(ctx)->pkey);
if (edkey == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_KEY);
return 0;
}
if (siglen != ED448_SIGSIZE)
return 0;
return ossl_ed448_verify(edkey->libctx, tbs, tbslen, sig, edkey->pubkey,
NULL, 0, 0, edkey->propq);
}
static int pkey_ecd_ctrl(EVP_PKEY_CTX *ctx, int type, int p1, void *p2)
{
switch (type) {
case EVP_PKEY_CTRL_MD:
/* Only NULL allowed as digest */
if (p2 == NULL || (const EVP_MD *)p2 == EVP_md_null())
return 1;
ERR_raise(ERR_LIB_EC, EC_R_INVALID_DIGEST_TYPE);
return 0;
case EVP_PKEY_CTRL_DIGESTINIT:
return 1;
}
return -2;
}
static const EVP_PKEY_METHOD ed25519_pkey_meth = {
EVP_PKEY_ED25519, EVP_PKEY_FLAG_SIGCTX_CUSTOM,
0, 0, 0, 0, 0, 0,
pkey_ecx_keygen,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
pkey_ecd_ctrl,
0,
pkey_ecd_digestsign25519,
pkey_ecd_digestverify25519
};
static const EVP_PKEY_METHOD ed448_pkey_meth = {
EVP_PKEY_ED448, EVP_PKEY_FLAG_SIGCTX_CUSTOM,
0, 0, 0, 0, 0, 0,
pkey_ecx_keygen,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
pkey_ecd_ctrl,
0,
pkey_ecd_digestsign448,
pkey_ecd_digestverify448
};
#ifdef S390X_EC_ASM
# include "s390x_arch.h"
static int s390x_pkey_ecx_keygen25519(EVP_PKEY_CTX *ctx, EVP_PKEY *pkey)
{
static const unsigned char generator[] = {
0x09, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
};
ECX_KEY *key = ossl_ecx_key_new(ctx->libctx, ECX_KEY_TYPE_X25519, 1,
ctx->propquery);
unsigned char *privkey = NULL, *pubkey;
if (key == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
pubkey = key->pubkey;
privkey = ossl_ecx_key_allocate_privkey(key);
if (privkey == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (RAND_priv_bytes_ex(ctx->libctx, privkey, X25519_KEYLEN, 0) <= 0)
goto err;
privkey[0] &= 248;
privkey[31] &= 127;
privkey[31] |= 64;
if (s390x_x25519_mul(pubkey, generator, privkey) != 1)
goto err;
EVP_PKEY_assign(pkey, ctx->pmeth->pkey_id, key);
return 1;
err:
ossl_ecx_key_free(key);
return 0;
}
static int s390x_pkey_ecx_keygen448(EVP_PKEY_CTX *ctx, EVP_PKEY *pkey)
{
static const unsigned char generator[] = {
0x05, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
};
ECX_KEY *key = ossl_ecx_key_new(ctx->libctx, ECX_KEY_TYPE_X448, 1,
ctx->propquery);
unsigned char *privkey = NULL, *pubkey;
if (key == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
pubkey = key->pubkey;
privkey = ossl_ecx_key_allocate_privkey(key);
if (privkey == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (RAND_priv_bytes_ex(ctx->libctx, privkey, X448_KEYLEN, 0) <= 0)
goto err;
privkey[0] &= 252;
privkey[55] |= 128;
if (s390x_x448_mul(pubkey, generator, privkey) != 1)
goto err;
EVP_PKEY_assign(pkey, ctx->pmeth->pkey_id, key);
return 1;
err:
ossl_ecx_key_free(key);
return 0;
}
static int s390x_pkey_ecd_keygen25519(EVP_PKEY_CTX *ctx, EVP_PKEY *pkey)
{
static const unsigned char generator_x[] = {
0x1a, 0xd5, 0x25, 0x8f, 0x60, 0x2d, 0x56, 0xc9, 0xb2, 0xa7, 0x25, 0x95,
0x60, 0xc7, 0x2c, 0x69, 0x5c, 0xdc, 0xd6, 0xfd, 0x31, 0xe2, 0xa4, 0xc0,
0xfe, 0x53, 0x6e, 0xcd, 0xd3, 0x36, 0x69, 0x21
};
static const unsigned char generator_y[] = {
0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66,
0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66,
0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66,
};
unsigned char x_dst[32], buff[SHA512_DIGEST_LENGTH];
ECX_KEY *key = ossl_ecx_key_new(ctx->libctx, ECX_KEY_TYPE_ED25519, 1,
ctx->propquery);
unsigned char *privkey = NULL, *pubkey;
unsigned int sz;
EVP_MD *md = NULL;
int rv;
if (key == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
pubkey = key->pubkey;
privkey = ossl_ecx_key_allocate_privkey(key);
if (privkey == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (RAND_priv_bytes_ex(ctx->libctx, privkey, ED25519_KEYLEN, 0) <= 0)
goto err;
md = EVP_MD_fetch(ctx->libctx, "SHA512", ctx->propquery);
if (md == NULL)
goto err;
rv = EVP_Digest(privkey, 32, buff, &sz, md, NULL);
EVP_MD_free(md);
if (!rv)
goto err;
buff[0] &= 248;
buff[31] &= 63;
buff[31] |= 64;
if (s390x_ed25519_mul(x_dst, pubkey,
generator_x, generator_y, buff) != 1)
goto err;
pubkey[31] |= ((x_dst[0] & 0x01) << 7);
EVP_PKEY_assign(pkey, ctx->pmeth->pkey_id, key);
return 1;
err:
ossl_ecx_key_free(key);
return 0;
}
static int s390x_pkey_ecd_keygen448(EVP_PKEY_CTX *ctx, EVP_PKEY *pkey)
{
static const unsigned char generator_x[] = {
0x5e, 0xc0, 0x0c, 0xc7, 0x2b, 0xa8, 0x26, 0x26, 0x8e, 0x93, 0x00, 0x8b,
0xe1, 0x80, 0x3b, 0x43, 0x11, 0x65, 0xb6, 0x2a, 0xf7, 0x1a, 0xae, 0x12,
0x64, 0xa4, 0xd3, 0xa3, 0x24, 0xe3, 0x6d, 0xea, 0x67, 0x17, 0x0f, 0x47,
0x70, 0x65, 0x14, 0x9e, 0xda, 0x36, 0xbf, 0x22, 0xa6, 0x15, 0x1d, 0x22,
0xed, 0x0d, 0xed, 0x6b, 0xc6, 0x70, 0x19, 0x4f, 0x00
};
static const unsigned char generator_y[] = {
0x14, 0xfa, 0x30, 0xf2, 0x5b, 0x79, 0x08, 0x98, 0xad, 0xc8, 0xd7, 0x4e,
0x2c, 0x13, 0xbd, 0xfd, 0xc4, 0x39, 0x7c, 0xe6, 0x1c, 0xff, 0xd3, 0x3a,
0xd7, 0xc2, 0xa0, 0x05, 0x1e, 0x9c, 0x78, 0x87, 0x40, 0x98, 0xa3, 0x6c,
0x73, 0x73, 0xea, 0x4b, 0x62, 0xc7, 0xc9, 0x56, 0x37, 0x20, 0x76, 0x88,
0x24, 0xbc, 0xb6, 0x6e, 0x71, 0x46, 0x3f, 0x69, 0x00
};
unsigned char x_dst[57], buff[114];
ECX_KEY *key = ossl_ecx_key_new(ctx->libctx, ECX_KEY_TYPE_ED448, 1,
ctx->propquery);
unsigned char *privkey = NULL, *pubkey;
EVP_MD_CTX *hashctx = NULL;
EVP_MD *md = NULL;
int rv;
if (key == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
pubkey = key->pubkey;
privkey = ossl_ecx_key_allocate_privkey(key);
if (privkey == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (RAND_priv_bytes_ex(ctx->libctx, privkey, ED448_KEYLEN, 0) <= 0)
goto err;
hashctx = EVP_MD_CTX_new();
if (hashctx == NULL)
goto err;
md = EVP_MD_fetch(ctx->libctx, "SHAKE256", ctx->propquery);
if (md == NULL)
goto err;
rv = EVP_DigestInit_ex(hashctx, md, NULL);
EVP_MD_free(md);
if (rv != 1)
goto err;
if (EVP_DigestUpdate(hashctx, privkey, 57) != 1)
goto err;
if (EVP_DigestFinalXOF(hashctx, buff, sizeof(buff)) != 1)
goto err;
buff[0] &= -4;
buff[55] |= 0x80;
buff[56] = 0;
if (s390x_ed448_mul(x_dst, pubkey,
generator_x, generator_y, buff) != 1)
goto err;
pubkey[56] |= ((x_dst[0] & 0x01) << 7);
EVP_PKEY_assign(pkey, ctx->pmeth->pkey_id, key);
EVP_MD_CTX_free(hashctx);
return 1;
err:
ossl_ecx_key_free(key);
EVP_MD_CTX_free(hashctx);
return 0;
}
static int s390x_pkey_ecx_derive25519(EVP_PKEY_CTX *ctx, unsigned char *key,
size_t *keylen)
{
const unsigned char *privkey, *pubkey;
if (!validate_ecx_derive(ctx, key, keylen, &privkey, &pubkey)
|| (key != NULL
&& s390x_x25519_mul(key, privkey, pubkey) == 0))
return 0;
*keylen = X25519_KEYLEN;
return 1;
}
static int s390x_pkey_ecx_derive448(EVP_PKEY_CTX *ctx, unsigned char *key,
size_t *keylen)
{
const unsigned char *privkey, *pubkey;
if (!validate_ecx_derive(ctx, key, keylen, &privkey, &pubkey)
|| (key != NULL
&& s390x_x448_mul(key, pubkey, privkey) == 0))
return 0;
*keylen = X448_KEYLEN;
return 1;
}
static int s390x_pkey_ecd_digestsign25519(EVP_MD_CTX *ctx,
unsigned char *sig, size_t *siglen,
const unsigned char *tbs,
size_t tbslen)
{
union {
struct {
unsigned char sig[64];
unsigned char priv[32];
} ed25519;
unsigned long long buff[512];
} param;
const ECX_KEY *edkey = evp_pkey_get_legacy(EVP_MD_CTX_get_pkey_ctx(ctx)->pkey);
int rc;
if (edkey == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_KEY);
return 0;
}
if (sig == NULL) {
*siglen = ED25519_SIGSIZE;
return 1;
}
if (*siglen < ED25519_SIGSIZE) {
ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
return 0;
}
memset(¶m, 0, sizeof(param));
memcpy(param.ed25519.priv, edkey->privkey, sizeof(param.ed25519.priv));
rc = s390x_kdsa(S390X_EDDSA_SIGN_ED25519, ¶m.ed25519, tbs, tbslen);
OPENSSL_cleanse(param.ed25519.priv, sizeof(param.ed25519.priv));
if (rc != 0)
return 0;
s390x_flip_endian32(sig, param.ed25519.sig);
s390x_flip_endian32(sig + 32, param.ed25519.sig + 32);
*siglen = ED25519_SIGSIZE;
return 1;
}
static int s390x_pkey_ecd_digestsign448(EVP_MD_CTX *ctx,
unsigned char *sig, size_t *siglen,
const unsigned char *tbs,
size_t tbslen)
{
union {
struct {
unsigned char sig[128];
unsigned char priv[64];
} ed448;
unsigned long long buff[512];
} param;
const ECX_KEY *edkey = evp_pkey_get_legacy(EVP_MD_CTX_get_pkey_ctx(ctx)->pkey);
int rc;
if (edkey == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_KEY);
return 0;
}
if (sig == NULL) {
*siglen = ED448_SIGSIZE;
return 1;
}
if (*siglen < ED448_SIGSIZE) {
ERR_raise(ERR_LIB_EC, EC_R_BUFFER_TOO_SMALL);
return 0;
}
memset(¶m, 0, sizeof(param));
memcpy(param.ed448.priv + 64 - 57, edkey->privkey, 57);
rc = s390x_kdsa(S390X_EDDSA_SIGN_ED448, ¶m.ed448, tbs, tbslen);
OPENSSL_cleanse(param.ed448.priv, sizeof(param.ed448.priv));
if (rc != 0)
return 0;
s390x_flip_endian64(param.ed448.sig, param.ed448.sig);
s390x_flip_endian64(param.ed448.sig + 64, param.ed448.sig + 64);
memcpy(sig, param.ed448.sig, 57);
memcpy(sig + 57, param.ed448.sig + 64, 57);
*siglen = ED448_SIGSIZE;
return 1;
}
static int s390x_pkey_ecd_digestverify25519(EVP_MD_CTX *ctx,
const unsigned char *sig,
size_t siglen,
const unsigned char *tbs,
size_t tbslen)
{
union {
struct {
unsigned char sig[64];
unsigned char pub[32];
} ed25519;
unsigned long long buff[512];
} param;
const ECX_KEY *edkey = evp_pkey_get_legacy(EVP_MD_CTX_get_pkey_ctx(ctx)->pkey);
if (edkey == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_KEY);
return 0;
}
if (siglen != ED25519_SIGSIZE)
return 0;
memset(¶m, 0, sizeof(param));
s390x_flip_endian32(param.ed25519.sig, sig);
s390x_flip_endian32(param.ed25519.sig + 32, sig + 32);
s390x_flip_endian32(param.ed25519.pub, edkey->pubkey);
return s390x_kdsa(S390X_EDDSA_VERIFY_ED25519,
¶m.ed25519, tbs, tbslen) == 0 ? 1 : 0;
}
static int s390x_pkey_ecd_digestverify448(EVP_MD_CTX *ctx,
const unsigned char *sig,
size_t siglen,
const unsigned char *tbs,
size_t tbslen)
{
union {
struct {
unsigned char sig[128];
unsigned char pub[64];
} ed448;
unsigned long long buff[512];
} param;
const ECX_KEY *edkey = evp_pkey_get_legacy(EVP_MD_CTX_get_pkey_ctx(ctx)->pkey);
if (edkey == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_KEY);
return 0;
}
if (siglen != ED448_SIGSIZE)
return 0;
memset(¶m, 0, sizeof(param));
memcpy(param.ed448.sig, sig, 57);
s390x_flip_endian64(param.ed448.sig, param.ed448.sig);
memcpy(param.ed448.sig + 64, sig + 57, 57);
s390x_flip_endian64(param.ed448.sig + 64, param.ed448.sig + 64);
memcpy(param.ed448.pub, edkey->pubkey, 57);
s390x_flip_endian64(param.ed448.pub, param.ed448.pub);
return s390x_kdsa(S390X_EDDSA_VERIFY_ED448,
¶m.ed448, tbs, tbslen) == 0 ? 1 : 0;
}
static const EVP_PKEY_METHOD ecx25519_s390x_pkey_meth = {
EVP_PKEY_X25519,
0, 0, 0, 0, 0, 0, 0,
s390x_pkey_ecx_keygen25519,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
s390x_pkey_ecx_derive25519,
pkey_ecx_ctrl,
0
};
static const EVP_PKEY_METHOD ecx448_s390x_pkey_meth = {
EVP_PKEY_X448,
0, 0, 0, 0, 0, 0, 0,
s390x_pkey_ecx_keygen448,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
s390x_pkey_ecx_derive448,
pkey_ecx_ctrl,
0
};
static const EVP_PKEY_METHOD ed25519_s390x_pkey_meth = {
EVP_PKEY_ED25519, EVP_PKEY_FLAG_SIGCTX_CUSTOM,
0, 0, 0, 0, 0, 0,
s390x_pkey_ecd_keygen25519,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
pkey_ecd_ctrl,
0,
s390x_pkey_ecd_digestsign25519,
s390x_pkey_ecd_digestverify25519
};
static const EVP_PKEY_METHOD ed448_s390x_pkey_meth = {
EVP_PKEY_ED448, EVP_PKEY_FLAG_SIGCTX_CUSTOM,
0, 0, 0, 0, 0, 0,
s390x_pkey_ecd_keygen448,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
pkey_ecd_ctrl,
0,
s390x_pkey_ecd_digestsign448,
s390x_pkey_ecd_digestverify448
};
#endif
const EVP_PKEY_METHOD *ossl_ecx25519_pkey_method(void)
{
#ifdef S390X_EC_ASM
if (OPENSSL_s390xcap_P.pcc[1] & S390X_CAPBIT(S390X_SCALAR_MULTIPLY_X25519))
return &ecx25519_s390x_pkey_meth;
#endif
return &ecx25519_pkey_meth;
}
const EVP_PKEY_METHOD *ossl_ecx448_pkey_method(void)
{
#ifdef S390X_EC_ASM
if (OPENSSL_s390xcap_P.pcc[1] & S390X_CAPBIT(S390X_SCALAR_MULTIPLY_X448))
return &ecx448_s390x_pkey_meth;
#endif
return &ecx448_pkey_meth;
}
const EVP_PKEY_METHOD *ossl_ed25519_pkey_method(void)
{
#ifdef S390X_EC_ASM
if (OPENSSL_s390xcap_P.pcc[1] & S390X_CAPBIT(S390X_SCALAR_MULTIPLY_ED25519)
&& OPENSSL_s390xcap_P.kdsa[0] & S390X_CAPBIT(S390X_EDDSA_SIGN_ED25519)
&& OPENSSL_s390xcap_P.kdsa[0]
& S390X_CAPBIT(S390X_EDDSA_VERIFY_ED25519))
return &ed25519_s390x_pkey_meth;
#endif
return &ed25519_pkey_meth;
}
const EVP_PKEY_METHOD *ossl_ed448_pkey_method(void)
{
#ifdef S390X_EC_ASM
if (OPENSSL_s390xcap_P.pcc[1] & S390X_CAPBIT(S390X_SCALAR_MULTIPLY_ED448)
&& OPENSSL_s390xcap_P.kdsa[0] & S390X_CAPBIT(S390X_EDDSA_SIGN_ED448)
&& OPENSSL_s390xcap_P.kdsa[0] & S390X_CAPBIT(S390X_EDDSA_VERIFY_ED448))
return &ed448_s390x_pkey_meth;
#endif
return &ed448_pkey_meth;
}
|
./openssl/crypto/ec/ecdh_kdf.c | /*
* Copyright 2015-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDH low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <string.h>
#include <openssl/core_names.h>
#include <openssl/ec.h>
#include <openssl/evp.h>
#include <openssl/kdf.h>
#include "ec_local.h"
/* Key derivation function from X9.63/SECG */
int ossl_ecdh_kdf_X9_63(unsigned char *out, size_t outlen,
const unsigned char *Z, size_t Zlen,
const unsigned char *sinfo, size_t sinfolen,
const EVP_MD *md,
OSSL_LIB_CTX *libctx, const char *propq)
{
int ret = 0;
EVP_KDF_CTX *kctx = NULL;
OSSL_PARAM params[4], *p = params;
const char *mdname = EVP_MD_get0_name(md);
EVP_KDF *kdf = EVP_KDF_fetch(libctx, OSSL_KDF_NAME_X963KDF, propq);
if ((kctx = EVP_KDF_CTX_new(kdf)) != NULL) {
*p++ = OSSL_PARAM_construct_utf8_string(OSSL_KDF_PARAM_DIGEST,
(char *)mdname, 0);
*p++ = OSSL_PARAM_construct_octet_string(OSSL_KDF_PARAM_KEY,
(void *)Z, Zlen);
*p++ = OSSL_PARAM_construct_octet_string(OSSL_KDF_PARAM_INFO,
(void *)sinfo, sinfolen);
*p = OSSL_PARAM_construct_end();
ret = EVP_KDF_derive(kctx, out, outlen, params) > 0;
EVP_KDF_CTX_free(kctx);
}
EVP_KDF_free(kdf);
return ret;
}
/*-
* The old name for ecdh_KDF_X9_63
* Retained for ABI compatibility
*/
#ifndef OPENSSL_NO_DEPRECATED_3_0
int ECDH_KDF_X9_62(unsigned char *out, size_t outlen,
const unsigned char *Z, size_t Zlen,
const unsigned char *sinfo, size_t sinfolen,
const EVP_MD *md)
{
return ossl_ecdh_kdf_X9_63(out, outlen, Z, Zlen, sinfo, sinfolen, md, NULL,
NULL);
}
#endif
|
./openssl/crypto/ec/ecp_nistz256_table.c | /*
* Copyright 2014-2016 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* This is the precomputed constant time access table for the code in
* ecp_montp256.c, for the default generator. The table consists of 37
* subtables, each subtable contains 64 affine points. The affine points are
* encoded as eight uint64's, four for the x coordinate and four for the y.
* Both values are in little-endian order. There are 37 tables because a
* signed, 6-bit wNAF form of the scalar is used and ceil(256/(6 + 1)) = 37.
* Within each table there are 64 values because the 6-bit wNAF value can
* take 64 values, ignoring the sign bit, which is implemented by performing
* a negation of the affine point when required. We would like to align it
* to 2MB in order to increase the chances of using a large page but that
* appears to lead to invalid ELF files being produced.
*/
#if defined(__GNUC__)
__attribute((aligned(4096)))
#elif defined(_MSC_VER)
__declspec(align(4096))
#elif defined(__SUNPRO_C)
# pragma align 4096(ecp_nistz256_precomputed)
#endif
static const BN_ULONG ecp_nistz256_precomputed[37][64 *
sizeof(P256_POINT_AFFINE) /
sizeof(BN_ULONG)] = {
{TOBN(0x79e730d4, 0x18a9143c), TOBN(0x75ba95fc, 0x5fedb601),
TOBN(0x79fb732b, 0x77622510), TOBN(0x18905f76, 0xa53755c6),
TOBN(0xddf25357, 0xce95560a), TOBN(0x8b4ab8e4, 0xba19e45c),
TOBN(0xd2e88688, 0xdd21f325), TOBN(0x8571ff18, 0x25885d85),
TOBN(0x850046d4, 0x10ddd64d), TOBN(0xaa6ae3c1, 0xa433827d),
TOBN(0x73220503, 0x8d1490d9), TOBN(0xf6bb32e4, 0x3dcf3a3b),
TOBN(0x2f3648d3, 0x61bee1a5), TOBN(0x152cd7cb, 0xeb236ff8),
TOBN(0x19a8fb0e, 0x92042dbe), TOBN(0x78c57751, 0x0a5b8a3b),
TOBN(0xffac3f90, 0x4eebc127), TOBN(0xb027f84a, 0x087d81fb),
TOBN(0x66ad77dd, 0x87cbbc98), TOBN(0x26936a3f, 0xb6ff747e),
TOBN(0xb04c5c1f, 0xc983a7eb), TOBN(0x583e47ad, 0x0861fe1a),
TOBN(0x78820831, 0x1a2ee98e), TOBN(0xd5f06a29, 0xe587cc07),
TOBN(0x74b0b50d, 0x46918dcc), TOBN(0x4650a6ed, 0xc623c173),
TOBN(0x0cdaacac, 0xe8100af2), TOBN(0x577362f5, 0x41b0176b),
TOBN(0x2d96f24c, 0xe4cbaba6), TOBN(0x17628471, 0xfad6f447),
TOBN(0x6b6c36de, 0xe5ddd22e), TOBN(0x84b14c39, 0x4c5ab863),
TOBN(0xbe1b8aae, 0xc45c61f5), TOBN(0x90ec649a, 0x94b9537d),
TOBN(0x941cb5aa, 0xd076c20c), TOBN(0xc9079605, 0x890523c8),
TOBN(0xeb309b4a, 0xe7ba4f10), TOBN(0x73c568ef, 0xe5eb882b),
TOBN(0x3540a987, 0x7e7a1f68), TOBN(0x73a076bb, 0x2dd1e916),
TOBN(0x40394737, 0x3e77664a), TOBN(0x55ae744f, 0x346cee3e),
TOBN(0xd50a961a, 0x5b17a3ad), TOBN(0x13074b59, 0x54213673),
TOBN(0x93d36220, 0xd377e44b), TOBN(0x299c2b53, 0xadff14b5),
TOBN(0xf424d44c, 0xef639f11), TOBN(0xa4c9916d, 0x4a07f75f),
TOBN(0x0746354e, 0xa0173b4f), TOBN(0x2bd20213, 0xd23c00f7),
TOBN(0xf43eaab5, 0x0c23bb08), TOBN(0x13ba5119, 0xc3123e03),
TOBN(0x2847d030, 0x3f5b9d4d), TOBN(0x6742f2f2, 0x5da67bdd),
TOBN(0xef933bdc, 0x77c94195), TOBN(0xeaedd915, 0x6e240867),
TOBN(0x27f14cd1, 0x9499a78f), TOBN(0x462ab5c5, 0x6f9b3455),
TOBN(0x8f90f02a, 0xf02cfc6b), TOBN(0xb763891e, 0xb265230d),
TOBN(0xf59da3a9, 0x532d4977), TOBN(0x21e3327d, 0xcf9eba15),
TOBN(0x123c7b84, 0xbe60bbf0), TOBN(0x56ec12f2, 0x7706df76),
TOBN(0x75c96e8f, 0x264e20e8), TOBN(0xabe6bfed, 0x59a7a841),
TOBN(0x2cc09c04, 0x44c8eb00), TOBN(0xe05b3080, 0xf0c4e16b),
TOBN(0x1eb7777a, 0xa45f3314), TOBN(0x56af7bed, 0xce5d45e3),
TOBN(0x2b6e019a, 0x88b12f1a), TOBN(0x086659cd, 0xfd835f9b),
TOBN(0x2c18dbd1, 0x9dc21ec8), TOBN(0x98f9868a, 0x0fcf8139),
TOBN(0x737d2cd6, 0x48250b49), TOBN(0xcc61c947, 0x24b3428f),
TOBN(0x0c2b4078, 0x80dd9e76), TOBN(0xc43a8991, 0x383fbe08),
TOBN(0x5f7d2d65, 0x779be5d2), TOBN(0x78719a54, 0xeb3b4ab5),
TOBN(0xea7d260a, 0x6245e404), TOBN(0x9de40795, 0x6e7fdfe0),
TOBN(0x1ff3a415, 0x8dac1ab5), TOBN(0x3e7090f1, 0x649c9073),
TOBN(0x1a768561, 0x2b944e88), TOBN(0x250f939e, 0xe57f61c8),
TOBN(0x0c0daa89, 0x1ead643d), TOBN(0x68930023, 0xe125b88e),
TOBN(0x04b71aa7, 0xd2697768), TOBN(0xabdedef5, 0xca345a33),
TOBN(0x2409d29d, 0xee37385e), TOBN(0x4ee1df77, 0xcb83e156),
TOBN(0x0cac12d9, 0x1cbb5b43), TOBN(0x170ed2f6, 0xca895637),
TOBN(0x28228cfa, 0x8ade6d66), TOBN(0x7ff57c95, 0x53238aca),
TOBN(0xccc42563, 0x4b2ed709), TOBN(0x0e356769, 0x856fd30d),
TOBN(0xbcbcd43f, 0x559e9811), TOBN(0x738477ac, 0x5395b759),
TOBN(0x35752b90, 0xc00ee17f), TOBN(0x68748390, 0x742ed2e3),
TOBN(0x7cd06422, 0xbd1f5bc1), TOBN(0xfbc08769, 0xc9e7b797),
TOBN(0xa242a35b, 0xb0cf664a), TOBN(0x126e48f7, 0x7f9707e3),
TOBN(0x1717bf54, 0xc6832660), TOBN(0xfaae7332, 0xfd12c72e),
TOBN(0x27b52db7, 0x995d586b), TOBN(0xbe29569e, 0x832237c2),
TOBN(0xe8e4193e, 0x2a65e7db), TOBN(0x152706dc, 0x2eaa1bbb),
TOBN(0x72bcd8b7, 0xbc60055b), TOBN(0x03cc23ee, 0x56e27e4b),
TOBN(0xee337424, 0xe4819370), TOBN(0xe2aa0e43, 0x0ad3da09),
TOBN(0x40b8524f, 0x6383c45d), TOBN(0xd7663554, 0x42a41b25),
TOBN(0x64efa6de, 0x778a4797), TOBN(0x2042170a, 0x7079adf4),
TOBN(0x808b0b65, 0x0bc6fb80), TOBN(0x5882e075, 0x3ffe2e6b),
TOBN(0xd5ef2f7c, 0x2c83f549), TOBN(0x54d63c80, 0x9103b723),
TOBN(0xf2f11bd6, 0x52a23f9b), TOBN(0x3670c319, 0x4b0b6587),
TOBN(0x55c4623b, 0xb1580e9e), TOBN(0x64edf7b2, 0x01efe220),
TOBN(0x97091dcb, 0xd53c5c9d), TOBN(0xf17624b6, 0xac0a177b),
TOBN(0xb0f13975, 0x2cfe2dff), TOBN(0xc1a35c0a, 0x6c7a574e),
TOBN(0x227d3146, 0x93e79987), TOBN(0x0575bf30, 0xe89cb80e),
TOBN(0x2f4e247f, 0x0d1883bb), TOBN(0xebd51226, 0x3274c3d0),
TOBN(0x5f3e51c8, 0x56ada97a), TOBN(0x4afc964d, 0x8f8b403e),
TOBN(0xa6f247ab, 0x412e2979), TOBN(0x675abd1b, 0x6f80ebda),
TOBN(0x66a2bd72, 0x5e485a1d), TOBN(0x4b2a5caf, 0x8f4f0b3c),
TOBN(0x2626927f, 0x1b847bba), TOBN(0x6c6fc7d9, 0x0502394d),
TOBN(0xfea912ba, 0xa5659ae8), TOBN(0x68363aba, 0x25e1a16e),
TOBN(0xb8842277, 0x752c41ac), TOBN(0xfe545c28, 0x2897c3fc),
TOBN(0x2d36e9e7, 0xdc4c696b), TOBN(0x5806244a, 0xfba977c5),
TOBN(0x85665e9b, 0xe39508c1), TOBN(0xf720ee25, 0x6d12597b),
TOBN(0x8a979129, 0xd2337a31), TOBN(0x5916868f, 0x0f862bdc),
TOBN(0x048099d9, 0x5dd283ba), TOBN(0xe2d1eeb6, 0xfe5bfb4e),
TOBN(0x82ef1c41, 0x7884005d), TOBN(0xa2d4ec17, 0xffffcbae),
TOBN(0x9161c53f, 0x8aa95e66), TOBN(0x5ee104e1, 0xc5fee0d0),
TOBN(0x562e4cec, 0xc135b208), TOBN(0x74e1b265, 0x4783f47d),
TOBN(0x6d2a506c, 0x5a3f3b30), TOBN(0xecead9f4, 0xc16762fc),
TOBN(0xf29dd4b2, 0xe286e5b9), TOBN(0x1b0fadc0, 0x83bb3c61),
TOBN(0x7a75023e, 0x7fac29a4), TOBN(0xc086d5f1, 0xc9477fa3),
TOBN(0x0fc61135, 0x2f6f3076), TOBN(0xc99ffa23, 0xe3912a9a),
TOBN(0x6a0b0685, 0xd2f8ba3d), TOBN(0xfdc777e8, 0xe93358a4),
TOBN(0x94a787bb, 0x35415f04), TOBN(0x640c2d6a, 0x4d23fea4),
TOBN(0x9de917da, 0x153a35b5), TOBN(0x793e8d07, 0x5d5cd074),
TOBN(0xf4f87653, 0x2de45068), TOBN(0x37c7a7e8, 0x9e2e1f6e),
TOBN(0xd0825fa2, 0xa3584069), TOBN(0xaf2cea7c, 0x1727bf42),
TOBN(0x0360a4fb, 0x9e4785a9), TOBN(0xe5fda49c, 0x27299f4a),
TOBN(0x48068e13, 0x71ac2f71), TOBN(0x83d0687b, 0x9077666f),
TOBN(0x6d3883b2, 0x15d02819), TOBN(0x6d0d7550, 0x40dd9a35),
TOBN(0x61d7cbf9, 0x1d2b469f), TOBN(0xf97b232f, 0x2efc3115),
TOBN(0xa551d750, 0xb24bcbc7), TOBN(0x11ea4949, 0x88a1e356),
TOBN(0x7669f031, 0x93cb7501), TOBN(0x595dc55e, 0xca737b8a),
TOBN(0xa4a319ac, 0xd837879f), TOBN(0x6fc1b49e, 0xed6b67b0),
TOBN(0xe3959933, 0x32f1f3af), TOBN(0x966742eb, 0x65432a2e),
TOBN(0x4b8dc9fe, 0xb4966228), TOBN(0x96cc6312, 0x43f43950),
TOBN(0x12068859, 0xc9b731ee), TOBN(0x7b948dc3, 0x56f79968),
TOBN(0x61e4ad32, 0xed1f8008), TOBN(0xe6c9267a, 0xd8b17538),
TOBN(0x1ac7c5eb, 0x857ff6fb), TOBN(0x994baaa8, 0x55f2fb10),
TOBN(0x84cf14e1, 0x1d248018), TOBN(0x5a39898b, 0x628ac508),
TOBN(0x14fde97b, 0x5fa944f5), TOBN(0xed178030, 0xd12e5ac7),
TOBN(0x042c2af4, 0x97e2feb4), TOBN(0xd36a42d7, 0xaebf7313),
TOBN(0x49d2c9eb, 0x084ffdd7), TOBN(0x9f8aa54b, 0x2ef7c76a),
TOBN(0x9200b7ba, 0x09895e70), TOBN(0x3bd0c66f, 0xddb7fb58),
TOBN(0x2d97d108, 0x78eb4cbb), TOBN(0x2d431068, 0xd84bde31),
TOBN(0x4b523eb7, 0x172ccd1f), TOBN(0x7323cb28, 0x30a6a892),
TOBN(0x97082ec0, 0xcfe153eb), TOBN(0xe97f6b6a, 0xf2aadb97),
TOBN(0x1d3d393e, 0xd1a83da1), TOBN(0xa6a7f9c7, 0x804b2a68),
TOBN(0x4a688b48, 0x2d0cb71e), TOBN(0xa9b4cc5f, 0x40585278),
TOBN(0x5e5db46a, 0xcb66e132), TOBN(0xf1be963a, 0x0d925880),
TOBN(0x944a7027, 0x0317b9e2), TOBN(0xe266f959, 0x48603d48),
TOBN(0x98db6673, 0x5c208899), TOBN(0x90472447, 0xa2fb18a3),
TOBN(0x8a966939, 0x777c619f), TOBN(0x3798142a, 0x2a3be21b),
TOBN(0xb4241cb1, 0x3298b343), TOBN(0xa3a14e49, 0xb44f65a1),
TOBN(0xc5f4d6cd, 0x3ac77acd), TOBN(0xd0288cb5, 0x52b6fc3c),
TOBN(0xd5cc8c2f, 0x1c040abc), TOBN(0xb675511e, 0x06bf9b4a),
TOBN(0xd667da37, 0x9b3aa441), TOBN(0x460d45ce, 0x51601f72),
TOBN(0xe2f73c69, 0x6755ff89), TOBN(0xdd3cf7e7, 0x473017e6),
TOBN(0x8ef5689d, 0x3cf7600d), TOBN(0x948dc4f8, 0xb1fc87b4),
TOBN(0xd9e9fe81, 0x4ea53299), TOBN(0x2d921ca2, 0x98eb6028),
TOBN(0xfaecedfd, 0x0c9803fc), TOBN(0xf38ae891, 0x4d7b4745),
TOBN(0xd8c5fccf, 0xc5e3a3d8), TOBN(0xbefd904c, 0x4079dfbf),
TOBN(0xbc6d6a58, 0xfead0197), TOBN(0x39227077, 0x695532a4),
TOBN(0x09e23e6d, 0xdbef42f5), TOBN(0x7e449b64, 0x480a9908),
TOBN(0x7b969c1a, 0xad9a2e40), TOBN(0x6231d792, 0x9591c2a4),
TOBN(0x87151456, 0x0f664534), TOBN(0x85ceae7c, 0x4b68f103),
TOBN(0xac09c4ae, 0x65578ab9), TOBN(0x33ec6868, 0xf044b10c),
TOBN(0x6ac4832b, 0x3a8ec1f1), TOBN(0x5509d128, 0x5847d5ef),
TOBN(0xf909604f, 0x763f1574), TOBN(0xb16c4303, 0xc32f63c4),
TOBN(0xb6ab2014, 0x7ca23cd3), TOBN(0xcaa7a5c6, 0xa391849d),
TOBN(0x5b0673a3, 0x75678d94), TOBN(0xc982ddd4, 0xdd303e64),
TOBN(0xfd7b000b, 0x5db6f971), TOBN(0xbba2cb1f, 0x6f876f92),
TOBN(0xc77332a3, 0x3c569426), TOBN(0xa159100c, 0x570d74f8),
TOBN(0xfd16847f, 0xdec67ef5), TOBN(0x742ee464, 0x233e76b7),
TOBN(0x0b8e4134, 0xefc2b4c8), TOBN(0xca640b86, 0x42a3e521),
TOBN(0x653a0190, 0x8ceb6aa9), TOBN(0x313c300c, 0x547852d5),
TOBN(0x24e4ab12, 0x6b237af7), TOBN(0x2ba90162, 0x8bb47af8),
TOBN(0x3d5e58d6, 0xa8219bb7), TOBN(0xc691d0bd, 0x1b06c57f),
TOBN(0x0ae4cb10, 0xd257576e), TOBN(0x3569656c, 0xd54a3dc3),
TOBN(0xe5ebaebd, 0x94cda03a), TOBN(0x934e82d3, 0x162bfe13),
TOBN(0x450ac0ba, 0xe251a0c6), TOBN(0x480b9e11, 0xdd6da526),
TOBN(0x00467bc5, 0x8cce08b5), TOBN(0xb636458c, 0x7f178d55),
TOBN(0xc5748bae, 0xa677d806), TOBN(0x2763a387, 0xdfa394eb),
TOBN(0xa12b448a, 0x7d3cebb6), TOBN(0xe7adda3e, 0x6f20d850),
TOBN(0xf63ebce5, 0x1558462c), TOBN(0x58b36143, 0x620088a8),
TOBN(0x8a2cc3ca, 0x4d63c0ee), TOBN(0x51233117, 0x0fe948ce),
TOBN(0x7463fd85, 0x222ef33b), TOBN(0xadf0c7dc, 0x7c603d6c),
TOBN(0x0ec32d3b, 0xfe7765e5), TOBN(0xccaab359, 0xbf380409),
TOBN(0xbdaa84d6, 0x8e59319c), TOBN(0xd9a4c280, 0x9c80c34d),
TOBN(0xa9d89488, 0xa059c142), TOBN(0x6f5ae714, 0xff0b9346),
TOBN(0x068f237d, 0x16fb3664), TOBN(0x5853e4c4, 0x363186ac),
TOBN(0xe2d87d23, 0x63c52f98), TOBN(0x2ec4a766, 0x81828876),
TOBN(0x47b864fa, 0xe14e7b1c), TOBN(0x0c0bc0e5, 0x69192408),
TOBN(0xe4d7681d, 0xb82e9f3e), TOBN(0x83200f0b, 0xdf25e13c),
TOBN(0x8909984c, 0x66f27280), TOBN(0x462d7b00, 0x75f73227),
TOBN(0xd90ba188, 0xf2651798), TOBN(0x74c6e18c, 0x36ab1c34),
TOBN(0xab256ea3, 0x5ef54359), TOBN(0x03466612, 0xd1aa702f),
TOBN(0x624d6049, 0x2ed22e91), TOBN(0x6fdfe0b5, 0x6f072822),
TOBN(0xeeca1115, 0x39ce2271), TOBN(0x98100a4f, 0xdb01614f),
TOBN(0xb6b0daa2, 0xa35c628f), TOBN(0xb6f94d2e, 0xc87e9a47),
TOBN(0xc6773259, 0x1d57d9ce), TOBN(0xf70bfeec, 0x03884a7b),
TOBN(0x5fb35ccf, 0xed2bad01), TOBN(0xa155cbe3, 0x1da6a5c7),
TOBN(0xc2e2594c, 0x30a92f8f), TOBN(0x649c89ce, 0x5bfafe43),
TOBN(0xd158667d, 0xe9ff257a), TOBN(0x9b359611, 0xf32c50ae),
TOBN(0x4b00b20b, 0x906014cf), TOBN(0xf3a8cfe3, 0x89bc7d3d),
TOBN(0x4ff23ffd, 0x248a7d06), TOBN(0x80c5bfb4, 0x878873fa),
TOBN(0xb7d9ad90, 0x05745981), TOBN(0x179c85db, 0x3db01994),
TOBN(0xba41b062, 0x61a6966c), TOBN(0x4d82d052, 0xeadce5a8),
TOBN(0x9e91cd3b, 0xa5e6a318), TOBN(0x47795f4f, 0x95b2dda0),
TOBN(0xecfd7c1f, 0xd55a897c), TOBN(0x009194ab, 0xb29110fb),
TOBN(0x5f0e2046, 0xe381d3b0), TOBN(0x5f3425f6, 0xa98dd291),
TOBN(0xbfa06687, 0x730d50da), TOBN(0x0423446c, 0x4b083b7f),
TOBN(0x397a247d, 0xd69d3417), TOBN(0xeb629f90, 0x387ba42a),
TOBN(0x1ee426cc, 0xd5cd79bf), TOBN(0x0032940b, 0x946c6e18),
TOBN(0x1b1e8ae0, 0x57477f58), TOBN(0xe94f7d34, 0x6d823278),
TOBN(0xc747cb96, 0x782ba21a), TOBN(0xc5254469, 0xf72b33a5),
TOBN(0x772ef6de, 0xc7f80c81), TOBN(0xd73acbfe, 0x2cd9e6b5),
TOBN(0x4075b5b1, 0x49ee90d9), TOBN(0x785c339a, 0xa06e9eba),
TOBN(0xa1030d5b, 0xabf825e0), TOBN(0xcec684c3, 0xa42931dc),
TOBN(0x42ab62c9, 0xc1586e63), TOBN(0x45431d66, 0x5ab43f2b),
TOBN(0x57c8b2c0, 0x55f7835d), TOBN(0x033da338, 0xc1b7f865),
TOBN(0x283c7513, 0xcaa76097), TOBN(0x0a624fa9, 0x36c83906),
TOBN(0x6b20afec, 0x715af2c7), TOBN(0x4b969974, 0xeba78bfd),
TOBN(0x220755cc, 0xd921d60e), TOBN(0x9b944e10, 0x7baeca13),
TOBN(0x04819d51, 0x5ded93d4), TOBN(0x9bbff86e, 0x6dddfd27),
TOBN(0x6b344130, 0x77adc612), TOBN(0xa7496529, 0xbbd803a0),
TOBN(0x1a1baaa7, 0x6d8805bd), TOBN(0xc8403902, 0x470343ad),
TOBN(0x39f59f66, 0x175adff1), TOBN(0x0b26d7fb, 0xb7d8c5b7),
TOBN(0xa875f5ce, 0x529d75e3), TOBN(0x85efc7e9, 0x41325cc2),
TOBN(0x21950b42, 0x1ff6acd3), TOBN(0xffe70484, 0x53dc6909),
TOBN(0xff4cd0b2, 0x28766127), TOBN(0xabdbe608, 0x4fb7db2b),
TOBN(0x837c9228, 0x5e1109e8), TOBN(0x26147d27, 0xf4645b5a),
TOBN(0x4d78f592, 0xf7818ed8), TOBN(0xd394077e, 0xf247fa36),
TOBN(0x0fb9c2d0, 0x488c171a), TOBN(0xa78bfbaa, 0x13685278),
TOBN(0xedfbe268, 0xd5b1fa6a), TOBN(0x0dceb8db, 0x2b7eaba7),
TOBN(0xbf9e8089, 0x9ae2b710), TOBN(0xefde7ae6, 0xa4449c96),
TOBN(0x43b7716b, 0xcc143a46), TOBN(0xd7d34194, 0xc3628c13),
TOBN(0x508cec1c, 0x3b3f64c9), TOBN(0xe20bc0ba, 0x1e5edf3f),
TOBN(0xda1deb85, 0x2f4318d4), TOBN(0xd20ebe0d, 0x5c3fa443),
TOBN(0x370b4ea7, 0x73241ea3), TOBN(0x61f1511c, 0x5e1a5f65),
TOBN(0x99a5e23d, 0x82681c62), TOBN(0xd731e383, 0xa2f54c2d),
TOBN(0x2692f36e, 0x83445904), TOBN(0x2e0ec469, 0xaf45f9c0),
TOBN(0x905a3201, 0xc67528b7), TOBN(0x88f77f34, 0xd0e5e542),
TOBN(0xf67a8d29, 0x5864687c), TOBN(0x23b92eae, 0x22df3562),
TOBN(0x5c27014b, 0x9bbec39e), TOBN(0x7ef2f226, 0x9c0f0f8d),
TOBN(0x97359638, 0x546c4d8d), TOBN(0x5f9c3fc4, 0x92f24679),
TOBN(0x912e8bed, 0xa8c8acd9), TOBN(0xec3a318d, 0x306634b0),
TOBN(0x80167f41, 0xc31cb264), TOBN(0x3db82f6f, 0x522113f2),
TOBN(0xb155bcd2, 0xdcafe197), TOBN(0xfba1da59, 0x43465283),
TOBN(0xa0425b8e, 0xb212cf53), TOBN(0x4f2e512e, 0xf8557c5f),
TOBN(0xc1286ff9, 0x25c4d56c), TOBN(0xbb8a0fea, 0xee26c851),
TOBN(0xc28f70d2, 0xe7d6107e), TOBN(0x7ee0c444, 0xe76265aa),
TOBN(0x3df277a4, 0x1d1936b1), TOBN(0x1a556e3f, 0xea9595eb),
TOBN(0x258bbbf9, 0xe7305683), TOBN(0x31eea5bf, 0x07ef5be6),
TOBN(0x0deb0e4a, 0x46c814c1), TOBN(0x5cee8449, 0xa7b730dd),
TOBN(0xeab495c5, 0xa0182bde), TOBN(0xee759f87, 0x9e27a6b4),
TOBN(0xc2cf6a68, 0x80e518ca), TOBN(0x25e8013f, 0xf14cf3f4),
TOBN(0x8fc44140, 0x7e8d7a14), TOBN(0xbb1ff3ca, 0x9556f36a),
TOBN(0x6a844385, 0x14600044), TOBN(0xba3f0c4a, 0x7451ae63),
TOBN(0xdfcac25b, 0x1f9af32a), TOBN(0x01e0db86, 0xb1f2214b),
TOBN(0x4e9a5bc2, 0xa4b596ac), TOBN(0x83927681, 0x026c2c08),
TOBN(0x3ec832e7, 0x7acaca28), TOBN(0x1bfeea57, 0xc7385b29),
TOBN(0x068212e3, 0xfd1eaf38), TOBN(0xc1329830, 0x6acf8ccc),
TOBN(0xb909f2db, 0x2aac9e59), TOBN(0x5748060d, 0xb661782a),
TOBN(0xc5ab2632, 0xc79b7a01), TOBN(0xda44c6c6, 0x00017626),
TOBN(0xf26c00e8, 0xa7ea82f0), TOBN(0x99cac80d, 0xe4299aaf),
TOBN(0xd66fe3b6, 0x7ed78be1), TOBN(0x305f725f, 0x648d02cd),
TOBN(0x33ed1bc4, 0x623fb21b), TOBN(0xfa70533e, 0x7a6319ad),
TOBN(0x17ab562d, 0xbe5ffb3e), TOBN(0x06374994, 0x56674741),
TOBN(0x69d44ed6, 0x5c46aa8e), TOBN(0x2100d5d3, 0xa8d063d1),
TOBN(0xcb9727ea, 0xa2d17c36), TOBN(0x4c2bab1b, 0x8add53b7),
TOBN(0xa084e90c, 0x15426704), TOBN(0x778afcd3, 0xa837ebea),
TOBN(0x6651f701, 0x7ce477f8), TOBN(0xa0624998, 0x46fb7a8b),
TOBN(0xdc1e6828, 0xed8a6e19), TOBN(0x33fc2336, 0x4189d9c7),
TOBN(0x026f8fe2, 0x671c39bc), TOBN(0xd40c4ccd, 0xbc6f9915),
TOBN(0xafa135bb, 0xf80e75ca), TOBN(0x12c651a0, 0x22adff2c),
TOBN(0xc40a04bd, 0x4f51ad96), TOBN(0x04820109, 0xbbe4e832),
TOBN(0x3667eb1a, 0x7f4c04cc), TOBN(0x59556621, 0xa9404f84),
TOBN(0x71cdf653, 0x7eceb50a), TOBN(0x994a44a6, 0x9b8335fa),
TOBN(0xd7faf819, 0xdbeb9b69), TOBN(0x473c5680, 0xeed4350d),
TOBN(0xb6658466, 0xda44bba2), TOBN(0x0d1bc780, 0x872bdbf3),
TOBN(0xe535f175, 0xa1962f91), TOBN(0x6ed7e061, 0xed58f5a7),
TOBN(0x177aa4c0, 0x2089a233), TOBN(0x0dbcb03a, 0xe539b413),
TOBN(0xe3dc424e, 0xbb32e38e), TOBN(0x6472e5ef, 0x6806701e),
TOBN(0xdd47ff98, 0x814be9ee), TOBN(0x6b60cfff, 0x35ace009),
TOBN(0xb8d3d931, 0x9ff91fe5), TOBN(0x039c4800, 0xf0518eed),
TOBN(0x95c37632, 0x9182cb26), TOBN(0x0763a434, 0x82fc568d),
TOBN(0x707c04d5, 0x383e76ba), TOBN(0xac98b930, 0x824e8197),
TOBN(0x92bf7c8f, 0x91230de0), TOBN(0x90876a01, 0x40959b70),
TOBN(0xdb6d96f3, 0x05968b80), TOBN(0x380a0913, 0x089f73b9),
TOBN(0x7da70b83, 0xc2c61e01), TOBN(0x95fb8394, 0x569b38c7),
TOBN(0x9a3c6512, 0x80edfe2f), TOBN(0x8f726bb9, 0x8faeaf82),
TOBN(0x8010a4a0, 0x78424bf8), TOBN(0x29672044, 0x0e844970)}
,
{TOBN(0x63c5cb81, 0x7a2ad62a), TOBN(0x7ef2b6b9, 0xac62ff54),
TOBN(0x3749bba4, 0xb3ad9db5), TOBN(0xad311f2c, 0x46d5a617),
TOBN(0xb77a8087, 0xc2ff3b6d), TOBN(0xb46feaf3, 0x367834ff),
TOBN(0xf8aa266d, 0x75d6b138), TOBN(0xfa38d320, 0xec008188),
TOBN(0x486d8ffa, 0x696946fc), TOBN(0x50fbc6d8, 0xb9cba56d),
TOBN(0x7e3d423e, 0x90f35a15), TOBN(0x7c3da195, 0xc0dd962c),
TOBN(0xe673fdb0, 0x3cfd5d8b), TOBN(0x0704b7c2, 0x889dfca5),
TOBN(0xf6ce581f, 0xf52305aa), TOBN(0x399d49eb, 0x914d5e53),
TOBN(0x380a496d, 0x6ec293cd), TOBN(0x733dbda7, 0x8e7051f5),
TOBN(0x037e388d, 0xb849140a), TOBN(0xee4b32b0, 0x5946dbf6),
TOBN(0xb1c4fda9, 0xcae368d1), TOBN(0x5001a7b0, 0xfdb0b2f3),
TOBN(0x6df59374, 0x2e3ac46e), TOBN(0x4af675f2, 0x39b3e656),
TOBN(0x44e38110, 0x39949296), TOBN(0x5b63827b, 0x361db1b5),
TOBN(0x3e5323ed, 0x206eaff5), TOBN(0x942370d2, 0xc21f4290),
TOBN(0xf2caaf2e, 0xe0d985a1), TOBN(0x192cc64b, 0x7239846d),
TOBN(0x7c0b8f47, 0xae6312f8), TOBN(0x7dc61f91, 0x96620108),
TOBN(0xb830fb5b, 0xc2da7de9), TOBN(0xd0e643df, 0x0ff8d3be),
TOBN(0x31ee77ba, 0x188a9641), TOBN(0x4e8aa3aa, 0xbcf6d502),
TOBN(0xf9fb6532, 0x9a49110f), TOBN(0xd18317f6, 0x2dd6b220),
TOBN(0x7e3ced41, 0x52c3ea5a), TOBN(0x0d296a14, 0x7d579c4a),
TOBN(0x35d6a53e, 0xed4c3717), TOBN(0x9f8240cf, 0x3d0ed2a3),
TOBN(0x8c0d4d05, 0xe5543aa5), TOBN(0x45d5bbfb, 0xdd33b4b4),
TOBN(0xfa04cc73, 0x137fd28e), TOBN(0x862ac6ef, 0xc73b3ffd),
TOBN(0x403ff9f5, 0x31f51ef2), TOBN(0x34d5e0fc, 0xbc73f5a2),
TOBN(0xf2526820, 0x08913f4f), TOBN(0xea20ed61, 0xeac93d95),
TOBN(0x51ed38b4, 0x6ca6b26c), TOBN(0x8662dcbc, 0xea4327b0),
TOBN(0x6daf295c, 0x725d2aaa), TOBN(0xbad2752f, 0x8e52dcda),
TOBN(0x2210e721, 0x0b17dacc), TOBN(0xa37f7912, 0xd51e8232),
TOBN(0x4f7081e1, 0x44cc3add), TOBN(0xd5ffa1d6, 0x87be82cf),
TOBN(0x89890b6c, 0x0edd6472), TOBN(0xada26e1a, 0x3ed17863),
TOBN(0x276f2715, 0x63483caa), TOBN(0xe6924cd9, 0x2f6077fd),
TOBN(0x05a7fe98, 0x0a466e3c), TOBN(0xf1c794b0, 0xb1902d1f),
TOBN(0xe5213688, 0x82a8042c), TOBN(0xd931cfaf, 0xcd278298),
TOBN(0x069a0ae0, 0xf597a740), TOBN(0x0adbb3f3, 0xeb59107c),
TOBN(0x983e951e, 0x5eaa8eb8), TOBN(0xe663a8b5, 0x11b48e78),
TOBN(0x1631cc0d, 0x8a03f2c5), TOBN(0x7577c11e, 0x11e271e2),
TOBN(0x33b2385c, 0x08369a90), TOBN(0x2990c59b, 0x190eb4f8),
TOBN(0x819a6145, 0xc68eac80), TOBN(0x7a786d62, 0x2ec4a014),
TOBN(0x33faadbe, 0x20ac3a8d), TOBN(0x31a21781, 0x5aba2d30),
TOBN(0x209d2742, 0xdba4f565), TOBN(0xdb2ce9e3, 0x55aa0fbb),
TOBN(0x8cef334b, 0x168984df), TOBN(0xe81dce17, 0x33879638),
TOBN(0xf6e6949c, 0x263720f0), TOBN(0x5c56feaf, 0xf593cbec),
TOBN(0x8bff5601, 0xfde58c84), TOBN(0x74e24117, 0x2eccb314),
TOBN(0xbcf01b61, 0x4c9a8a78), TOBN(0xa233e35e, 0x544c9868),
TOBN(0xb3156bf3, 0x8bd7aff1), TOBN(0x1b5ee4cb, 0x1d81b146),
TOBN(0x7ba1ac41, 0xd628a915), TOBN(0x8f3a8f9c, 0xfd89699e),
TOBN(0x7329b9c9, 0xa0748be7), TOBN(0x1d391c95, 0xa92e621f),
TOBN(0xe51e6b21, 0x4d10a837), TOBN(0xd255f53a, 0x4947b435),
TOBN(0x07669e04, 0xf1788ee3), TOBN(0xc14f27af, 0xa86938a2),
TOBN(0x8b47a334, 0xe93a01c0), TOBN(0xff627438, 0xd9366808),
TOBN(0x7a0985d8, 0xca2a5965), TOBN(0x3d9a5542, 0xd6e9b9b3),
TOBN(0xc23eb80b, 0x4cf972e8), TOBN(0x5c1c33bb, 0x4fdf72fd),
TOBN(0x0c4a58d4, 0x74a86108), TOBN(0xf8048a8f, 0xee4c5d90),
TOBN(0xe3c7c924, 0xe86d4c80), TOBN(0x28c889de, 0x056a1e60),
TOBN(0x57e2662e, 0xb214a040), TOBN(0xe8c48e98, 0x37e10347),
TOBN(0x87742862, 0x80ac748a), TOBN(0xf1c24022, 0x186b06f2),
TOBN(0xac2dd4c3, 0x5f74040a), TOBN(0x409aeb71, 0xfceac957),
TOBN(0x4fbad782, 0x55c4ec23), TOBN(0xb359ed61, 0x8a7b76ec),
TOBN(0x12744926, 0xed6f4a60), TOBN(0xe21e8d7f, 0x4b912de3),
TOBN(0xe2575a59, 0xfc705a59), TOBN(0x72f1d4de, 0xed2dbc0e),
TOBN(0x3d2b24b9, 0xeb7926b8), TOBN(0xbff88cb3, 0xcdbe5509),
TOBN(0xd0f399af, 0xe4dd640b), TOBN(0x3c5fe130, 0x2f76ed45),
TOBN(0x6f3562f4, 0x3764fb3d), TOBN(0x7b5af318, 0x3151b62d),
TOBN(0xd5bd0bc7, 0xd79ce5f3), TOBN(0xfdaf6b20, 0xec66890f),
TOBN(0x735c67ec, 0x6063540c), TOBN(0x50b259c2, 0xe5f9cb8f),
TOBN(0xb8734f9a, 0x3f99c6ab), TOBN(0xf8cc13d5, 0xa3a7bc85),
TOBN(0x80c1b305, 0xc5217659), TOBN(0xfe5364d4, 0x4ec12a54),
TOBN(0xbd87045e, 0x681345fe), TOBN(0x7f8efeb1, 0x582f897f),
TOBN(0xe8cbf1e5, 0xd5923359), TOBN(0xdb0cea9d, 0x539b9fb0),
TOBN(0x0c5b34cf, 0x49859b98), TOBN(0x5e583c56, 0xa4403cc6),
TOBN(0x11fc1a2d, 0xd48185b7), TOBN(0xc93fbc7e, 0x6e521787),
TOBN(0x47e7a058, 0x05105b8b), TOBN(0x7b4d4d58, 0xdb8260c8),
TOBN(0xe33930b0, 0x46eb842a), TOBN(0x8e844a9a, 0x7bdae56d),
TOBN(0x34ef3a9e, 0x13f7fdfc), TOBN(0xb3768f82, 0x636ca176),
TOBN(0x2821f4e0, 0x4e09e61c), TOBN(0x414dc3a1, 0xa0c7cddc),
TOBN(0xd5379437, 0x54945fcd), TOBN(0x151b6eef, 0xb3555ff1),
TOBN(0xb31bd613, 0x6339c083), TOBN(0x39ff8155, 0xdfb64701),
TOBN(0x7c3388d2, 0xe29604ab), TOBN(0x1e19084b, 0xa6b10442),
TOBN(0x17cf54c0, 0xeccd47ef), TOBN(0x89693385, 0x4a5dfb30),
TOBN(0x69d023fb, 0x47daf9f6), TOBN(0x9222840b, 0x7d91d959),
TOBN(0x439108f5, 0x803bac62), TOBN(0x0b7dd91d, 0x379bd45f),
TOBN(0xd651e827, 0xca63c581), TOBN(0x5c5d75f6, 0x509c104f),
TOBN(0x7d5fc738, 0x1f2dc308), TOBN(0x20faa7bf, 0xd98454be),
TOBN(0x95374bee, 0xa517b031), TOBN(0xf036b9b1, 0x642692ac),
TOBN(0xc5106109, 0x39842194), TOBN(0xb7e2353e, 0x49d05295),
TOBN(0xfc8c1d5c, 0xefb42ee0), TOBN(0xe04884eb, 0x08ce811c),
TOBN(0xf1f75d81, 0x7419f40e), TOBN(0x5b0ac162, 0xa995c241),
TOBN(0x120921bb, 0xc4c55646), TOBN(0x713520c2, 0x8d33cf97),
TOBN(0xb4a65a5c, 0xe98c5100), TOBN(0x6cec871d, 0x2ddd0f5a),
TOBN(0x251f0b7f, 0x9ba2e78b), TOBN(0x224a8434, 0xce3a2a5f),
TOBN(0x26827f61, 0x25f5c46f), TOBN(0x6a22bedc, 0x48545ec0),
TOBN(0x25ae5fa0, 0xb1bb5cdc), TOBN(0xd693682f, 0xfcb9b98f),
TOBN(0x32027fe8, 0x91e5d7d3), TOBN(0xf14b7d17, 0x73a07678),
TOBN(0xf88497b3, 0xc0dfdd61), TOBN(0xf7c2eec0, 0x2a8c4f48),
TOBN(0xaa5573f4, 0x3756e621), TOBN(0xc013a240, 0x1825b948),
TOBN(0x1c03b345, 0x63878572), TOBN(0xa0472bea, 0x653a4184),
TOBN(0xf4222e27, 0x0ac69a80), TOBN(0x34096d25, 0xf51e54f6),
TOBN(0x00a648cb, 0x8fffa591), TOBN(0x4e87acdc, 0x69b6527f),
TOBN(0x0575e037, 0xe285ccb4), TOBN(0x188089e4, 0x50ddcf52),
TOBN(0xaa96c9a8, 0x870ff719), TOBN(0x74a56cd8, 0x1fc7e369),
TOBN(0x41d04ee2, 0x1726931a), TOBN(0x0bbbb2c8, 0x3660ecfd),
TOBN(0xa6ef6de5, 0x24818e18), TOBN(0xe421cc51, 0xe7d57887),
TOBN(0xf127d208, 0xbea87be6), TOBN(0x16a475d3, 0xb1cdd682),
TOBN(0x9db1b684, 0x439b63f7), TOBN(0x5359b3db, 0xf0f113b6),
TOBN(0xdfccf1de, 0x8bf06e31), TOBN(0x1fdf8f44, 0xdd383901),
TOBN(0x10775cad, 0x5017e7d2), TOBN(0xdfc3a597, 0x58d11eef),
TOBN(0x6ec9c8a0, 0xb1ecff10), TOBN(0xee6ed6cc, 0x28400549),
TOBN(0xb5ad7bae, 0x1b4f8d73), TOBN(0x61b4f11d, 0xe00aaab9),
TOBN(0x7b32d69b, 0xd4eff2d7), TOBN(0x88ae6771, 0x4288b60f),
TOBN(0x159461b4, 0x37a1e723), TOBN(0x1f3d4789, 0x570aae8c),
TOBN(0x869118c0, 0x7f9871da), TOBN(0x35fbda78, 0xf635e278),
TOBN(0x738f3641, 0xe1541dac), TOBN(0x6794b13a, 0xc0dae45f),
TOBN(0x065064ac, 0x09cc0917), TOBN(0x27c53729, 0xc68540fd),
TOBN(0x0d2d4c8e, 0xef227671), TOBN(0xd23a9f80, 0xa1785a04),
TOBN(0x98c59528, 0x52650359), TOBN(0xfa09ad01, 0x74a1acad),
TOBN(0x082d5a29, 0x0b55bf5c), TOBN(0xa40f1c67, 0x419b8084),
TOBN(0x3a5c752e, 0xdcc18770), TOBN(0x4baf1f2f, 0x8825c3a5),
TOBN(0xebd63f74, 0x21b153ed), TOBN(0xa2383e47, 0xb2f64723),
TOBN(0xe7bf620a, 0x2646d19a), TOBN(0x56cb44ec, 0x03c83ffd),
TOBN(0xaf7267c9, 0x4f6be9f1), TOBN(0x8b2dfd7b, 0xc06bb5e9),
TOBN(0xb87072f2, 0xa672c5c7), TOBN(0xeacb11c8, 0x0d53c5e2),
TOBN(0x22dac29d, 0xff435932), TOBN(0x37bdb99d, 0x4408693c),
TOBN(0xf6e62fb6, 0x2899c20f), TOBN(0x3535d512, 0x447ece24),
TOBN(0xfbdc6b88, 0xff577ce3), TOBN(0x726693bd, 0x190575f2),
TOBN(0x6772b0e5, 0xab4b35a2), TOBN(0x1d8b6001, 0xf5eeaacf),
TOBN(0x728f7ce4, 0x795b9580), TOBN(0x4a20ed2a, 0x41fb81da),
TOBN(0x9f685cd4, 0x4fec01e6), TOBN(0x3ed7ddcc, 0xa7ff50ad),
TOBN(0x460fd264, 0x0c2d97fd), TOBN(0x3a241426, 0xeb82f4f9),
TOBN(0x17d1df2c, 0x6a8ea820), TOBN(0xb2b50d3b, 0xf22cc254),
TOBN(0x03856cba, 0xb7291426), TOBN(0x87fd26ae, 0x04f5ee39),
TOBN(0x9cb696cc, 0x02bee4ba), TOBN(0x53121804, 0x06820fd6),
TOBN(0xa5dfc269, 0x0212e985), TOBN(0x666f7ffa, 0x160f9a09),
TOBN(0xc503cd33, 0xbccd9617), TOBN(0x365dede4, 0xba7730a3),
TOBN(0x798c6355, 0x5ddb0786), TOBN(0xa6c3200e, 0xfc9cd3bc),
TOBN(0x060ffb2c, 0xe5e35efd), TOBN(0x99a4e25b, 0x5555a1c1),
TOBN(0x11d95375, 0xf70b3751), TOBN(0x0a57354a, 0x160e1bf6),
TOBN(0xecb3ae4b, 0xf8e4b065), TOBN(0x07a834c4, 0x2e53022b),
TOBN(0x1cd300b3, 0x8692ed96), TOBN(0x16a6f792, 0x61ee14ec),
TOBN(0x8f1063c6, 0x6a8649ed), TOBN(0xfbcdfcfe, 0x869f3e14),
TOBN(0x2cfb97c1, 0x00a7b3ec), TOBN(0xcea49b3c, 0x7130c2f1),
TOBN(0x462d044f, 0xe9d96488), TOBN(0x4b53d52e, 0x8182a0c1),
TOBN(0x84b6ddd3, 0x0391e9e9), TOBN(0x80ab7b48, 0xb1741a09),
TOBN(0xec0e15d4, 0x27d3317f), TOBN(0x8dfc1ddb, 0x1a64671e),
TOBN(0x93cc5d5f, 0xd49c5b92), TOBN(0xc995d53d, 0x3674a331),
TOBN(0x302e41ec, 0x090090ae), TOBN(0x2278a0cc, 0xedb06830),
TOBN(0x1d025932, 0xfbc99690), TOBN(0x0c32fbd2, 0xb80d68da),
TOBN(0xd79146da, 0xf341a6c1), TOBN(0xae0ba139, 0x1bef68a0),
TOBN(0xc6b8a563, 0x8d774b3a), TOBN(0x1cf307bd, 0x880ba4d7),
TOBN(0xc033bdc7, 0x19803511), TOBN(0xa9f97b3b, 0x8888c3be),
TOBN(0x3d68aebc, 0x85c6d05e), TOBN(0xc3b88a9d, 0x193919eb),
TOBN(0x2d300748, 0xc48b0ee3), TOBN(0x7506bc7c, 0x07a746c1),
TOBN(0xfc48437c, 0x6e6d57f3), TOBN(0x5bd71587, 0xcfeaa91a),
TOBN(0xa4ed0408, 0xc1bc5225), TOBN(0xd0b946db, 0x2719226d),
TOBN(0x109ecd62, 0x758d2d43), TOBN(0x75c8485a, 0x2751759b),
TOBN(0xb0b75f49, 0x9ce4177a), TOBN(0x4fa61a1e, 0x79c10c3d),
TOBN(0xc062d300, 0xa167fcd7), TOBN(0x4df3874c, 0x750f0fa8),
TOBN(0x29ae2cf9, 0x83dfedc9), TOBN(0xf8437134, 0x8d87631a),
TOBN(0xaf571711, 0x7429c8d2), TOBN(0x18d15867, 0x146d9272),
TOBN(0x83053ecf, 0x69769bb7), TOBN(0xc55eb856, 0xc479ab82),
TOBN(0x5ef7791c, 0x21b0f4b2), TOBN(0xaa5956ba, 0x3d491525),
TOBN(0x407a96c2, 0x9fe20eba), TOBN(0xf27168bb, 0xe52a5ad3),
TOBN(0x43b60ab3, 0xbf1d9d89), TOBN(0xe45c51ef, 0x710e727a),
TOBN(0xdfca5276, 0x099b4221), TOBN(0x8dc6407c, 0x2557a159),
TOBN(0x0ead8335, 0x91035895), TOBN(0x0a9db957, 0x9c55dc32),
TOBN(0xe40736d3, 0xdf61bc76), TOBN(0x13a619c0, 0x3f778cdb),
TOBN(0x6dd921a4, 0xc56ea28f), TOBN(0x76a52433, 0x2fa647b4),
TOBN(0x23591891, 0xac5bdc5d), TOBN(0xff4a1a72, 0xbac7dc01),
TOBN(0x9905e261, 0x62df8453), TOBN(0x3ac045df, 0xe63b265f),
TOBN(0x8a3f341b, 0xad53dba7), TOBN(0x8ec269cc, 0x837b625a),
TOBN(0xd71a2782, 0x3ae31189), TOBN(0x8fb4f9a3, 0x55e96120),
TOBN(0x804af823, 0xff9875cf), TOBN(0x23224f57, 0x5d442a9b),
TOBN(0x1c4d3b9e, 0xecc62679), TOBN(0x91da22fb, 0xa0e7ddb1),
TOBN(0xa370324d, 0x6c04a661), TOBN(0x9710d3b6, 0x5e376d17),
TOBN(0xed8c98f0, 0x3044e357), TOBN(0xc364ebbe, 0x6422701c),
TOBN(0x347f5d51, 0x7733d61c), TOBN(0xd55644b9, 0xcea826c3),
TOBN(0x80c6e0ad, 0x55a25548), TOBN(0x0aa7641d, 0x844220a7),
TOBN(0x1438ec81, 0x31810660), TOBN(0x9dfa6507, 0xde4b4043),
TOBN(0x10b515d8, 0xcc3e0273), TOBN(0x1b6066dd, 0x28d8cfb2),
TOBN(0xd3b04591, 0x9c9efebd), TOBN(0x425d4bdf, 0xa21c1ff4),
TOBN(0x5fe5af19, 0xd57607d3), TOBN(0xbbf773f7, 0x54481084),
TOBN(0x8435bd69, 0x94b03ed1), TOBN(0xd9ad1de3, 0x634cc546),
TOBN(0x2cf423fc, 0x00e420ca), TOBN(0xeed26d80, 0xa03096dd),
TOBN(0xd7f60be7, 0xa4db09d2), TOBN(0xf47f569d, 0x960622f7),
TOBN(0xe5925fd7, 0x7296c729), TOBN(0xeff2db26, 0x26ca2715),
TOBN(0xa6fcd014, 0xb913e759), TOBN(0x53da4786, 0x8ff4de93),
TOBN(0x14616d79, 0xc32068e1), TOBN(0xb187d664, 0xccdf352e),
TOBN(0xf7afb650, 0x1dc90b59), TOBN(0x8170e943, 0x7daa1b26),
TOBN(0xc8e3bdd8, 0x700c0a84), TOBN(0x6e8d345f, 0x6482bdfa),
TOBN(0x84cfbfa1, 0xc5c5ea50), TOBN(0xd3baf14c, 0x67960681),
TOBN(0x26398403, 0x0dd50942), TOBN(0xe4b7839c, 0x4716a663),
TOBN(0xd5f1f794, 0xe7de6dc0), TOBN(0x5cd0f4d4, 0x622aa7ce),
TOBN(0x5295f3f1, 0x59acfeec), TOBN(0x8d933552, 0x953e0607),
TOBN(0xc7db8ec5, 0x776c5722), TOBN(0xdc467e62, 0x2b5f290c),
TOBN(0xd4297e70, 0x4ff425a9), TOBN(0x4be924c1, 0x0cf7bb72),
TOBN(0x0d5dc5ae, 0xa1892131), TOBN(0x8bf8a8e3, 0xa705c992),
TOBN(0x73a0b064, 0x7a305ac5), TOBN(0x00c9ca4e, 0x9a8c77a8),
TOBN(0x5dfee80f, 0x83774bdd), TOBN(0x63131602, 0x85734485),
TOBN(0xa1b524ae, 0x914a69a9), TOBN(0xebc2ffaf, 0xd4e300d7),
TOBN(0x52c93db7, 0x7cfa46a5), TOBN(0x71e6161f, 0x21653b50),
TOBN(0x3574fc57, 0xa4bc580a), TOBN(0xc09015dd, 0xe1bc1253),
TOBN(0x4b7b47b2, 0xd174d7aa), TOBN(0x4072d8e8, 0xf3a15d04),
TOBN(0xeeb7d47f, 0xd6fa07ed), TOBN(0x6f2b9ff9, 0xedbdafb1),
TOBN(0x18c51615, 0x3760fe8a), TOBN(0x7a96e6bf, 0xf06c6c13),
TOBN(0x4d7a0410, 0x0ea2d071), TOBN(0xa1914e9b, 0x0be2a5ce),
TOBN(0x5726e357, 0xd8a3c5cf), TOBN(0x1197ecc3, 0x2abb2b13),
TOBN(0x6c0d7f7f, 0x31ae88dd), TOBN(0x15b20d1a, 0xfdbb3efe),
TOBN(0xcd06aa26, 0x70584039), TOBN(0x2277c969, 0xa7dc9747),
TOBN(0xbca69587, 0x7855d815), TOBN(0x899ea238, 0x5188b32a),
TOBN(0x37d9228b, 0x760c1c9d), TOBN(0xc7efbb11, 0x9b5c18da),
TOBN(0x7f0d1bc8, 0x19f6dbc5), TOBN(0x4875384b, 0x07e6905b),
TOBN(0xc7c50baa, 0x3ba8cd86), TOBN(0xb0ce40fb, 0xc2905de0),
TOBN(0x70840673, 0x7a231952), TOBN(0xa912a262, 0xcf43de26),
TOBN(0x9c38ddcc, 0xeb5b76c1), TOBN(0x746f5285, 0x26fc0ab4),
TOBN(0x52a63a50, 0xd62c269f), TOBN(0x60049c55, 0x99458621),
TOBN(0xe7f48f82, 0x3c2f7c9e), TOBN(0x6bd99043, 0x917d5cf3),
TOBN(0xeb1317a8, 0x8701f469), TOBN(0xbd3fe2ed, 0x9a449fe0),
TOBN(0x421e79ca, 0x12ef3d36), TOBN(0x9ee3c36c, 0x3e7ea5de),
TOBN(0xe48198b5, 0xcdff36f7), TOBN(0xaff4f967, 0xc6b82228),
TOBN(0x15e19dd0, 0xc47adb7e), TOBN(0x45699b23, 0x032e7dfa),
TOBN(0x40680c8b, 0x1fae026a), TOBN(0x5a347a48, 0x550dbf4d),
TOBN(0xe652533b, 0x3cef0d7d), TOBN(0xd94f7b18, 0x2bbb4381),
TOBN(0x838752be, 0x0e80f500), TOBN(0x8e6e2488, 0x9e9c9bfb),
TOBN(0xc9751697, 0x16caca6a), TOBN(0x866c49d8, 0x38531ad9),
TOBN(0xc917e239, 0x7151ade1), TOBN(0x2d016ec1, 0x6037c407),
TOBN(0xa407ccc9, 0x00eac3f9), TOBN(0x835f6280, 0xe2ed4748),
TOBN(0xcc54c347, 0x1cc98e0d), TOBN(0x0e969937, 0xdcb572eb),
TOBN(0x1b16c8e8, 0x8f30c9cb), TOBN(0xa606ae75, 0x373c4661),
TOBN(0x47aa689b, 0x35502cab), TOBN(0xf89014ae, 0x4d9bb64f),
TOBN(0x202f6a9c, 0x31c71f7b), TOBN(0x01f95aa3, 0x296ffe5c),
TOBN(0x5fc06014, 0x53cec3a3), TOBN(0xeb991237, 0x5f498a45),
TOBN(0xae9a935e, 0x5d91ba87), TOBN(0xc6ac6281, 0x0b564a19),
TOBN(0x8a8fe81c, 0x3bd44e69), TOBN(0x7c8b467f, 0x9dd11d45),
TOBN(0xf772251f, 0xea5b8e69), TOBN(0xaeecb3bd, 0xc5b75fbc),
TOBN(0x1aca3331, 0x887ff0e5), TOBN(0xbe5d49ff, 0x19f0a131),
TOBN(0x582c13aa, 0xe5c8646f), TOBN(0xdbaa12e8, 0x20e19980),
TOBN(0x8f40f31a, 0xf7abbd94), TOBN(0x1f13f5a8, 0x1dfc7663),
TOBN(0x5d81f1ee, 0xaceb4fc0), TOBN(0x36256002, 0x5e6f0f42),
TOBN(0x4b67d6d7, 0x751370c8), TOBN(0x2608b698, 0x03e80589),
TOBN(0xcfc0d2fc, 0x05268301), TOBN(0xa6943d39, 0x40309212),
TOBN(0x192a90c2, 0x1fd0e1c2), TOBN(0xb209f113, 0x37f1dc76),
TOBN(0xefcc5e06, 0x97bf1298), TOBN(0xcbdb6730, 0x219d639e),
TOBN(0xd009c116, 0xb81e8c6f), TOBN(0xa3ffdde3, 0x1a7ce2e5),
TOBN(0xc53fbaaa, 0xa914d3ba), TOBN(0x836d500f, 0x88df85ee),
TOBN(0xd98dc71b, 0x66ee0751), TOBN(0x5a3d7005, 0x714516fd),
TOBN(0x21d3634d, 0x39eedbba), TOBN(0x35cd2e68, 0x0455a46d),
TOBN(0xc8cafe65, 0xf9d7eb0c), TOBN(0xbda3ce9e, 0x00cefb3e),
TOBN(0xddc17a60, 0x2c9cf7a4), TOBN(0x01572ee4, 0x7bcb8773),
TOBN(0xa92b2b01, 0x8c7548df), TOBN(0x732fd309, 0xa84600e3),
TOBN(0xe22109c7, 0x16543a40), TOBN(0x9acafd36, 0xfede3c6c),
TOBN(0xfb206852, 0x6824e614), TOBN(0x2a4544a9, 0xda25dca0),
TOBN(0x25985262, 0x91d60b06), TOBN(0x281b7be9, 0x28753545),
TOBN(0xec667b1a, 0x90f13b27), TOBN(0x33a83aff, 0x940e2eb4),
TOBN(0x80009862, 0xd5d721d5), TOBN(0x0c3357a3, 0x5bd3a182),
TOBN(0x27f3a83b, 0x7aa2cda4), TOBN(0xb58ae74e, 0xf6f83085),
TOBN(0x2a911a81, 0x2e6dad6b), TOBN(0xde286051, 0xf43d6c5b),
TOBN(0x4bdccc41, 0xf996c4d8), TOBN(0xe7312ec0, 0x0ae1e24e)}
,
{TOBN(0xf8d112e7, 0x6e6485b3), TOBN(0x4d3e24db, 0x771c52f8),
TOBN(0x48e3ee41, 0x684a2f6d), TOBN(0x7161957d, 0x21d95551),
TOBN(0x19631283, 0xcdb12a6c), TOBN(0xbf3fa882, 0x2e50e164),
TOBN(0xf6254b63, 0x3166cc73), TOBN(0x3aefa7ae, 0xaee8cc38),
TOBN(0x79b0fe62, 0x3b36f9fd), TOBN(0x26543b23, 0xfde19fc0),
TOBN(0x136e64a0, 0x958482ef), TOBN(0x23f63771, 0x9b095825),
TOBN(0x14cfd596, 0xb6a1142e), TOBN(0x5ea6aac6, 0x335aac0b),
TOBN(0x86a0e8bd, 0xf3081dd5), TOBN(0x5fb89d79, 0x003dc12a),
TOBN(0xf615c33a, 0xf72e34d4), TOBN(0x0bd9ea40, 0x110eec35),
TOBN(0x1c12bc5b, 0xc1dea34e), TOBN(0x686584c9, 0x49ae4699),
TOBN(0x13ad95d3, 0x8c97b942), TOBN(0x4609561a, 0x4e5c7562),
TOBN(0x9e94a4ae, 0xf2737f89), TOBN(0xf57594c6, 0x371c78b6),
TOBN(0x0f0165fc, 0xe3779ee3), TOBN(0xe00e7f9d, 0xbd495d9e),
TOBN(0x1fa4efa2, 0x20284e7a), TOBN(0x4564bade, 0x47ac6219),
TOBN(0x90e6312a, 0xc4708e8e), TOBN(0x4f5725fb, 0xa71e9adf),
TOBN(0xe95f55ae, 0x3d684b9f), TOBN(0x47f7ccb1, 0x1e94b415),
TOBN(0x7322851b, 0x8d946581), TOBN(0xf0d13133, 0xbdf4a012),
TOBN(0xa3510f69, 0x6584dae0), TOBN(0x03a7c171, 0x3c9f6c6d),
TOBN(0x5be97f38, 0xe475381a), TOBN(0xca1ba422, 0x85823334),
TOBN(0xf83cc5c7, 0x0be17dda), TOBN(0x158b1494, 0x0b918c0f),
TOBN(0xda3a77e5, 0x522e6b69), TOBN(0x69c908c3, 0xbbcd6c18),
TOBN(0x1f1b9e48, 0xd924fd56), TOBN(0x37c64e36, 0xaa4bb3f7),
TOBN(0x5a4fdbdf, 0xee478d7d), TOBN(0xba75c8bc, 0x0193f7a0),
TOBN(0x84bc1e84, 0x56cd16df), TOBN(0x1fb08f08, 0x46fad151),
TOBN(0x8a7cabf9, 0x842e9f30), TOBN(0xa331d4bf, 0x5eab83af),
TOBN(0xd272cfba, 0x017f2a6a), TOBN(0x27560abc, 0x83aba0e3),
TOBN(0x94b83387, 0x0e3a6b75), TOBN(0x25c6aea2, 0x6b9f50f5),
TOBN(0x803d691d, 0xb5fdf6d0), TOBN(0x03b77509, 0xe6333514),
TOBN(0x36178903, 0x61a341c1), TOBN(0x3604dc60, 0x0cfd6142),
TOBN(0x022295eb, 0x8533316c), TOBN(0x3dbde4ac, 0x44af2922),
TOBN(0x898afc5d, 0x1c7eef69), TOBN(0x58896805, 0xd14f4fa1),
TOBN(0x05002160, 0x203c21ca), TOBN(0x6f0d1f30, 0x40ef730b),
TOBN(0x8e8c44d4, 0x196224f8), TOBN(0x75a4ab95, 0x374d079d),
TOBN(0x79085ecc, 0x7d48f123), TOBN(0x56f04d31, 0x1bf65ad8),
TOBN(0xe220bf1c, 0xbda602b2), TOBN(0x73ee1742, 0xf9612c69),
TOBN(0x76008fc8, 0x084fd06b), TOBN(0x4000ef9f, 0xf11380d1),
TOBN(0x48201b4b, 0x12cfe297), TOBN(0x3eee129c, 0x292f74e5),
TOBN(0xe1fe114e, 0xc9e874e8), TOBN(0x899b055c, 0x92c5fc41),
TOBN(0x4e477a64, 0x3a39c8cf), TOBN(0x82f09efe, 0x78963cc9),
TOBN(0x6fd3fd8f, 0xd333f863), TOBN(0x85132b2a, 0xdc949c63),
TOBN(0x7e06a3ab, 0x516eb17b), TOBN(0x73bec06f, 0xd2c7372b),
TOBN(0xe4f74f55, 0xba896da6), TOBN(0xbb4afef8, 0x8e9eb40f),
TOBN(0x2d75bec8, 0xe61d66b0), TOBN(0x02bda4b4, 0xef29300b),
TOBN(0x8bbaa8de, 0x026baa5a), TOBN(0xff54befd, 0xa07f4440),
TOBN(0xbd9b8b1d, 0xbe7a2af3), TOBN(0xec51caa9, 0x4fb74a72),
TOBN(0xb9937a4b, 0x63879697), TOBN(0x7c9a9d20, 0xec2687d5),
TOBN(0x1773e44f, 0x6ef5f014), TOBN(0x8abcf412, 0xe90c6900),
TOBN(0x387bd022, 0x8142161e), TOBN(0x50393755, 0xfcb6ff2a),
TOBN(0x9813fd56, 0xed6def63), TOBN(0x53cf6482, 0x7d53106c),
TOBN(0x991a35bd, 0x431f7ac1), TOBN(0xf1e274dd, 0x63e65faf),
TOBN(0xf63ffa3c, 0x44cc7880), TOBN(0x411a426b, 0x7c256981),
TOBN(0xb698b9fd, 0x93a420e0), TOBN(0x89fdddc0, 0xae53f8fe),
TOBN(0x766e0722, 0x32398baa), TOBN(0x205fee42, 0x5cfca031),
TOBN(0xa49f5341, 0x7a029cf2), TOBN(0xa88c68b8, 0x4023890d),
TOBN(0xbc275041, 0x7337aaa8), TOBN(0x9ed364ad, 0x0eb384f4),
TOBN(0xe0816f85, 0x29aba92f), TOBN(0x2e9e1941, 0x04e38a88),
TOBN(0x57eef44a, 0x3dafd2d5), TOBN(0x35d1fae5, 0x97ed98d8),
TOBN(0x50628c09, 0x2307f9b1), TOBN(0x09d84aae, 0xd6cba5c6),
TOBN(0x67071bc7, 0x88aaa691), TOBN(0x2dea57a9, 0xafe6cb03),
TOBN(0xdfe11bb4, 0x3d78ac01), TOBN(0x7286418c, 0x7fd7aa51),
TOBN(0xfabf7709, 0x77f7195a), TOBN(0x8ec86167, 0xadeb838f),
TOBN(0xea1285a8, 0xbb4f012d), TOBN(0xd6883503, 0x9a3eab3f),
TOBN(0xee5d24f8, 0x309004c2), TOBN(0xa96e4b76, 0x13ffe95e),
TOBN(0x0cdffe12, 0xbd223ea4), TOBN(0x8f5c2ee5, 0xb6739a53),
TOBN(0x5cb4aaa5, 0xdd968198), TOBN(0xfa131c52, 0x72413a6c),
TOBN(0x53d46a90, 0x9536d903), TOBN(0xb270f0d3, 0x48606d8e),
TOBN(0x518c7564, 0xa053a3bc), TOBN(0x088254b7, 0x1a86caef),
TOBN(0xb3ba8cb4, 0x0ab5efd0), TOBN(0x5c59900e, 0x4605945d),
TOBN(0xecace1dd, 0xa1887395), TOBN(0x40960f36, 0x932a65de),
TOBN(0x9611ff5c, 0x3aa95529), TOBN(0xc58215b0, 0x7c1e5a36),
TOBN(0xd48c9b58, 0xf0e1a524), TOBN(0xb406856b, 0xf590dfb8),
TOBN(0xc7605e04, 0x9cd95662), TOBN(0x0dd036ee, 0xa33ecf82),
TOBN(0xa50171ac, 0xc33156b3), TOBN(0xf09d24ea, 0x4a80172e),
TOBN(0x4e1f72c6, 0x76dc8eef), TOBN(0xe60caadc, 0x5e3d44ee),
TOBN(0x006ef8a6, 0x979b1d8f), TOBN(0x60908a1c, 0x97788d26),
TOBN(0x6e08f95b, 0x266feec0), TOBN(0x618427c2, 0x22e8c94e),
TOBN(0x3d613339, 0x59145a65), TOBN(0xcd9bc368, 0xfa406337),
TOBN(0x82d11be3, 0x2d8a52a0), TOBN(0xf6877b27, 0x97a1c590),
TOBN(0x837a819b, 0xf5cbdb25), TOBN(0x2a4fd1d8, 0xde090249),
TOBN(0x622a7de7, 0x74990e5f), TOBN(0x840fa5a0, 0x7945511b),
TOBN(0x30b974be, 0x6558842d), TOBN(0x70df8c64, 0x17f3d0a6),
TOBN(0x7c803520, 0x7542e46d), TOBN(0x7251fe7f, 0xe4ecc823),
TOBN(0xe59134cb, 0x5e9aac9a), TOBN(0x11bb0934, 0xf0045d71),
TOBN(0x53e5d9b5, 0xdbcb1d4e), TOBN(0x8d97a905, 0x92defc91),
TOBN(0xfe289327, 0x7946d3f9), TOBN(0xe132bd24, 0x07472273),
TOBN(0xeeeb510c, 0x1eb6ae86), TOBN(0x777708c5, 0xf0595067),
TOBN(0x18e2c8cd, 0x1297029e), TOBN(0x2c61095c, 0xbbf9305e),
TOBN(0xe466c258, 0x6b85d6d9), TOBN(0x8ac06c36, 0xda1ea530),
TOBN(0xa365dc39, 0xa1304668), TOBN(0xe4a9c885, 0x07f89606),
TOBN(0x65a4898f, 0xacc7228d), TOBN(0x3e2347ff, 0x84ca8303),
TOBN(0xa5f6fb77, 0xea7d23a3), TOBN(0x2fac257d, 0x672a71cd),
TOBN(0x6908bef8, 0x7e6a44d3), TOBN(0x8ff87566, 0x891d3d7a),
TOBN(0xe58e90b3, 0x6b0cf82e), TOBN(0x6438d246, 0x2615b5e7),
TOBN(0x07b1f8fc, 0x669c145a), TOBN(0xb0d8b2da, 0x36f1e1cb),
TOBN(0x54d5dadb, 0xd9184c4d), TOBN(0x3dbb18d5, 0xf93d9976),
TOBN(0x0a3e0f56, 0xd1147d47), TOBN(0x2afa8c8d, 0xa0a48609),
TOBN(0x275353e8, 0xbc36742c), TOBN(0x898f427e, 0xeea0ed90),
TOBN(0x26f4947e, 0x3e477b00), TOBN(0x8ad8848a, 0x308741e3),
TOBN(0x6c703c38, 0xd74a2a46), TOBN(0x5e3e05a9, 0x9ba17ba2),
TOBN(0xc1fa6f66, 0x4ab9a9e4), TOBN(0x474a2d9a, 0x3841d6ec),
TOBN(0x871239ad, 0x653ae326), TOBN(0x14bcf72a, 0xa74cbb43),
TOBN(0x8737650e, 0x20d4c083), TOBN(0x3df86536, 0x110ed4af),
TOBN(0xd2d86fe7, 0xb53ca555), TOBN(0x688cb00d, 0xabd5d538),
TOBN(0xcf81bda3, 0x1ad38468), TOBN(0x7ccfe3cc, 0xf01167b6),
TOBN(0xcf4f47e0, 0x6c4c1fe6), TOBN(0x557e1f1a, 0x298bbb79),
TOBN(0xf93b974f, 0x30d45a14), TOBN(0x174a1d2d, 0x0baf97c4),
TOBN(0x7a003b30, 0xc51fbf53), TOBN(0xd8940991, 0xee68b225),
TOBN(0x5b0aa7b7, 0x1c0f4173), TOBN(0x975797c9, 0xa20a7153),
TOBN(0x26e08c07, 0xe3533d77), TOBN(0xd7222e6a, 0x2e341c99),
TOBN(0x9d60ec3d, 0x8d2dc4ed), TOBN(0xbdfe0d8f, 0x7c476cf8),
TOBN(0x1fe59ab6, 0x1d056605), TOBN(0xa9ea9df6, 0x86a8551f),
TOBN(0x8489941e, 0x47fb8d8c), TOBN(0xfeb874eb, 0x4a7f1b10),
TOBN(0xfe5fea86, 0x7ee0d98f), TOBN(0x201ad34b, 0xdbf61864),
TOBN(0x45d8fe47, 0x37c031d4), TOBN(0xd5f49fae, 0x795f0822),
TOBN(0xdb0fb291, 0xc7f4a40c), TOBN(0x2e69d9c1, 0x730ddd92),
TOBN(0x754e1054, 0x49d76987), TOBN(0x8a24911d, 0x7662db87),
TOBN(0x61fc1810, 0x60a71676), TOBN(0xe852d1a8, 0xf66a8ad1),
TOBN(0x172bbd65, 0x6417231e), TOBN(0x0d6de7bd, 0x3babb11f),
TOBN(0x6fde6f88, 0xc8e347f8), TOBN(0x1c587547, 0x9bd99cc3),
TOBN(0x78e54ed0, 0x34076950), TOBN(0x97f0f334, 0x796e83ba),
TOBN(0xe4dbe1ce, 0x4924867a), TOBN(0xbd5f51b0, 0x60b84917),
TOBN(0x37530040, 0x3cb09a79), TOBN(0xdb3fe0f8, 0xff1743d8),
TOBN(0xed7894d8, 0x556fa9db), TOBN(0xfa262169, 0x23412fbf),
TOBN(0x563be0db, 0xba7b9291), TOBN(0x6ca8b8c0, 0x0c9fb234),
TOBN(0xed406aa9, 0xbd763802), TOBN(0xc21486a0, 0x65303da1),
TOBN(0x61ae291e, 0xc7e62ec4), TOBN(0x622a0492, 0xdf99333e),
TOBN(0x7fd80c9d, 0xbb7a8ee0), TOBN(0xdc2ed3bc, 0x6c01aedb),
TOBN(0x35c35a12, 0x08be74ec), TOBN(0xd540cb1a, 0x469f671f),
TOBN(0xd16ced4e, 0xcf84f6c7), TOBN(0x8561fb9c, 0x2d090f43),
TOBN(0x7e693d79, 0x6f239db4), TOBN(0xa736f928, 0x77bd0d94),
TOBN(0x07b4d929, 0x2c1950ee), TOBN(0xda177543, 0x56dc11b3),
TOBN(0xa5dfbbaa, 0x7a6a878e), TOBN(0x1c70cb29, 0x4decb08a),
TOBN(0xfba28c8b, 0x6f0f7c50), TOBN(0xa8eba2b8, 0x854dcc6d),
TOBN(0x5ff8e89a, 0x36b78642), TOBN(0x070c1c8e, 0xf6873adf),
TOBN(0xbbd3c371, 0x6484d2e4), TOBN(0xfb78318f, 0x0d414129),
TOBN(0x2621a39c, 0x6ad93b0b), TOBN(0x979d74c2, 0xa9e917f7),
TOBN(0xfc195647, 0x61fb0428), TOBN(0x4d78954a, 0xbee624d4),
TOBN(0xb94896e0, 0xb8ae86fd), TOBN(0x6667ac0c, 0xc91c8b13),
TOBN(0x9f180512, 0x43bcf832), TOBN(0xfbadf8b7, 0xa0010137),
TOBN(0xc69b4089, 0xb3ba8aa7), TOBN(0xfac4bacd, 0xe687ce85),
TOBN(0x9164088d, 0x977eab40), TOBN(0x51f4c5b6, 0x2760b390),
TOBN(0xd238238f, 0x340dd553), TOBN(0x358566c3, 0xdb1d31c9),
TOBN(0x3a5ad69e, 0x5068f5ff), TOBN(0xf31435fc, 0xdaff6b06),
TOBN(0xae549a5b, 0xd6debff0), TOBN(0x59e5f0b7, 0x75e01331),
TOBN(0x5d492fb8, 0x98559acf), TOBN(0x96018c2e, 0x4db79b50),
TOBN(0x55f4a48f, 0x609f66aa), TOBN(0x1943b3af, 0x4900a14f),
TOBN(0xc22496df, 0x15a40d39), TOBN(0xb2a44684, 0x4c20f7c5),
TOBN(0x76a35afa, 0x3b98404c), TOBN(0xbec75725, 0xff5d1b77),
TOBN(0xb67aa163, 0xbea06444), TOBN(0x27e95bb2, 0xf724b6f2),
TOBN(0x3c20e3e9, 0xd238c8ab), TOBN(0x1213754e, 0xddd6ae17),
TOBN(0x8c431020, 0x716e0f74), TOBN(0x6679c82e, 0xffc095c2),
TOBN(0x2eb3adf4, 0xd0ac2932), TOBN(0x2cc970d3, 0x01bb7a76),
TOBN(0x70c71f2f, 0x740f0e66), TOBN(0x545c616b, 0x2b6b23cc),
TOBN(0x4528cfcb, 0xb40a8bd7), TOBN(0xff839633, 0x2ab27722),
TOBN(0x049127d9, 0x025ac99a), TOBN(0xd314d4a0, 0x2b63e33b),
TOBN(0xc8c310e7, 0x28d84519), TOBN(0x0fcb8983, 0xb3bc84ba),
TOBN(0x2cc52261, 0x38634818), TOBN(0x501814f4, 0xb44c2e0b),
TOBN(0xf7e181aa, 0x54dfdba3), TOBN(0xcfd58ff0, 0xe759718c),
TOBN(0xf90cdb14, 0xd3b507a8), TOBN(0x57bd478e, 0xc50bdad8),
TOBN(0x29c197e2, 0x50e5f9aa), TOBN(0x4db6eef8, 0xe40bc855),
TOBN(0x2cc8f21a, 0xd1fc0654), TOBN(0xc71cc963, 0x81269d73),
TOBN(0xecfbb204, 0x077f49f9), TOBN(0xdde92571, 0xca56b793),
TOBN(0x9abed6a3, 0xf97ad8f7), TOBN(0xe6c19d3f, 0x924de3bd),
TOBN(0x8dce92f4, 0xa140a800), TOBN(0x85f44d1e, 0x1337af07),
TOBN(0x5953c08b, 0x09d64c52), TOBN(0xa1b5e49f, 0xf5df9749),
TOBN(0x336a8fb8, 0x52735f7d), TOBN(0xb332b6db, 0x9add676b),
TOBN(0x558b88a0, 0xb4511aa4), TOBN(0x09788752, 0xdbd5cc55),
TOBN(0x16b43b9c, 0xd8cd52bd), TOBN(0x7f0bc5a0, 0xc2a2696b),
TOBN(0x146e12d4, 0xc11f61ef), TOBN(0x9ce10754, 0x3a83e79e),
TOBN(0x08ec73d9, 0x6cbfca15), TOBN(0x09ff29ad, 0x5b49653f),
TOBN(0xe31b72bd, 0xe7da946e), TOBN(0xebf9eb3b, 0xee80a4f2),
TOBN(0xd1aabd08, 0x17598ce4), TOBN(0x18b5fef4, 0x53f37e80),
TOBN(0xd5d5cdd3, 0x5958cd79), TOBN(0x3580a1b5, 0x1d373114),
TOBN(0xa36e4c91, 0xfa935726), TOBN(0xa38c534d, 0xef20d760),
TOBN(0x7088e40a, 0x2ff5845b), TOBN(0xe5bb40bd, 0xbd78177f),
TOBN(0x4f06a7a8, 0x857f9920), TOBN(0xe3cc3e50, 0xe968f05d),
TOBN(0x1d68b7fe, 0xe5682d26), TOBN(0x5206f76f, 0xaec7f87c),
TOBN(0x41110530, 0x041951ab), TOBN(0x58ec52c1, 0xd4b5a71a),
TOBN(0xf3488f99, 0x0f75cf9a), TOBN(0xf411951f, 0xba82d0d5),
TOBN(0x27ee75be, 0x618895ab), TOBN(0xeae060d4, 0x6d8aab14),
TOBN(0x9ae1df73, 0x7fb54dc2), TOBN(0x1f3e391b, 0x25963649),
TOBN(0x242ec32a, 0xfe055081), TOBN(0x5bd450ef, 0x8491c9bd),
TOBN(0x367efc67, 0x981eb389), TOBN(0xed7e1928, 0x3a0550d5),
TOBN(0x362e776b, 0xab3ce75c), TOBN(0xe890e308, 0x1f24c523),
TOBN(0xb961b682, 0xfeccef76), TOBN(0x8b8e11f5, 0x8bba6d92),
TOBN(0x8f2ccc4c, 0x2b2375c4), TOBN(0x0d7f7a52, 0xe2f86cfa),
TOBN(0xfd94d30a, 0x9efe5633), TOBN(0x2d8d246b, 0x5451f934),
TOBN(0x2234c6e3, 0x244e6a00), TOBN(0xde2b5b0d, 0xddec8c50),
TOBN(0x2ce53c5a, 0xbf776f5b), TOBN(0x6f724071, 0x60357b05),
TOBN(0xb2593717, 0x71bf3f7a), TOBN(0x87d2501c, 0x440c4a9f),
TOBN(0x440552e1, 0x87b05340), TOBN(0xb7bf7cc8, 0x21624c32),
TOBN(0x4155a6ce, 0x22facddb), TOBN(0x5a4228cb, 0x889837ef),
TOBN(0xef87d6d6, 0xfd4fd671), TOBN(0xa233687e, 0xc2daa10e),
TOBN(0x75622244, 0x03c0eb96), TOBN(0x7632d184, 0x8bf19be6),
TOBN(0x05d0f8e9, 0x40735ff4), TOBN(0x3a3e6e13, 0xc00931f1),
TOBN(0x31ccde6a, 0xdafe3f18), TOBN(0xf381366a, 0xcfe51207),
TOBN(0x24c222a9, 0x60167d92), TOBN(0x62f9d6f8, 0x7529f18c),
TOBN(0x412397c0, 0x0353b114), TOBN(0x334d89dc, 0xef808043),
TOBN(0xd9ec63ba, 0x2a4383ce), TOBN(0xcec8e937, 0x5cf92ba0),
TOBN(0xfb8b4288, 0xc8be74c0), TOBN(0x67d6912f, 0x105d4391),
TOBN(0x7b996c46, 0x1b913149), TOBN(0x36aae2ef, 0x3a4e02da),
TOBN(0xb68aa003, 0x972de594), TOBN(0x284ec70d, 0x4ec6d545),
TOBN(0xf3d2b2d0, 0x61391d54), TOBN(0x69c5d5d6, 0xfe114e92),
TOBN(0xbe0f00b5, 0xb4482dff), TOBN(0xe1596fa5, 0xf5bf33c5),
TOBN(0x10595b56, 0x96a71cba), TOBN(0x944938b2, 0xfdcadeb7),
TOBN(0xa282da4c, 0xfccd8471), TOBN(0x98ec05f3, 0x0d37bfe1),
TOBN(0xe171ce1b, 0x0698304a), TOBN(0x2d691444, 0x21bdf79b),
TOBN(0xd0cd3b74, 0x1b21dec1), TOBN(0x712ecd8b, 0x16a15f71),
TOBN(0x8d4c00a7, 0x00fd56e1), TOBN(0x02ec9692, 0xf9527c18),
TOBN(0x21c44937, 0x4a3e42e1), TOBN(0x9176fbab, 0x1392ae0a),
TOBN(0x8726f1ba, 0x44b7b618), TOBN(0xb4d7aae9, 0xf1de491c),
TOBN(0xf91df7b9, 0x07b582c0), TOBN(0x7e116c30, 0xef60aa3a),
TOBN(0x99270f81, 0x466265d7), TOBN(0xb15b6fe2, 0x4df7adf0),
TOBN(0xfe33b2d3, 0xf9738f7f), TOBN(0x48553ab9, 0xd6d70f95),
TOBN(0x2cc72ac8, 0xc21e94db), TOBN(0x795ac38d, 0xbdc0bbee),
TOBN(0x0a1be449, 0x2e40478f), TOBN(0x81bd3394, 0x052bde55),
TOBN(0x63c8dbe9, 0x56b3c4f2), TOBN(0x017a99cf, 0x904177cc),
TOBN(0x947bbddb, 0x4d010fc1), TOBN(0xacf9b00b, 0xbb2c9b21),
TOBN(0x2970bc8d, 0x47173611), TOBN(0x1a4cbe08, 0xac7d756f),
TOBN(0x06d9f4aa, 0x67d541a2), TOBN(0xa3e8b689, 0x59c2cf44),
TOBN(0xaad066da, 0x4d88f1dd), TOBN(0xc604f165, 0x7ad35dea),
TOBN(0x7edc0720, 0x4478ca67), TOBN(0xa10dfae0, 0xba02ce06),
TOBN(0xeceb1c76, 0xaf36f4e4), TOBN(0x994b2292, 0xaf3f8f48),
TOBN(0xbf9ed77b, 0x77c8a68c), TOBN(0x74f544ea, 0x51744c9d),
TOBN(0x82d05bb9, 0x8113a757), TOBN(0x4ef2d2b4, 0x8a9885e4),
TOBN(0x1e332be5, 0x1aa7865f), TOBN(0x22b76b18, 0x290d1a52),
TOBN(0x308a2310, 0x44351683), TOBN(0x9d861896, 0xa3f22840),
TOBN(0x5959ddcd, 0x841ed947), TOBN(0x0def0c94, 0x154b73bf),
TOBN(0xf0105417, 0x4c7c15e0), TOBN(0x539bfb02, 0x3a277c32),
TOBN(0xe699268e, 0xf9dccf5f), TOBN(0x9f5796a5, 0x0247a3bd),
TOBN(0x8b839de8, 0x4f157269), TOBN(0xc825c1e5, 0x7a30196b),
TOBN(0x6ef0aabc, 0xdc8a5a91), TOBN(0xf4a8ce6c, 0x498b7fe6),
TOBN(0x1cce35a7, 0x70cbac78), TOBN(0x83488e9b, 0xf6b23958),
TOBN(0x0341a070, 0xd76cb011), TOBN(0xda6c9d06, 0xae1b2658),
TOBN(0xb701fb30, 0xdd648c52), TOBN(0x994ca02c, 0x52fb9fd1),
TOBN(0x06933117, 0x6f563086), TOBN(0x3d2b8100, 0x17856bab),
TOBN(0xe89f48c8, 0x5963a46e), TOBN(0x658ab875, 0xa99e61c7),
TOBN(0x6e296f87, 0x4b8517b4), TOBN(0x36c4fcdc, 0xfc1bc656),
TOBN(0xde5227a1, 0xa3906def), TOBN(0x9fe95f57, 0x62418945),
TOBN(0x20c91e81, 0xfdd96cde), TOBN(0x5adbe47e, 0xda4480de),
TOBN(0xa009370f, 0x396de2b6), TOBN(0x98583d4b, 0xf0ecc7bd),
TOBN(0xf44f6b57, 0xe51d0672), TOBN(0x03d6b078, 0x556b1984),
TOBN(0x27dbdd93, 0xb0b64912), TOBN(0x9b3a3434, 0x15687b09),
TOBN(0x0dba6461, 0x51ec20a9), TOBN(0xec93db7f, 0xff28187c),
TOBN(0x00ff8c24, 0x66e48bdd), TOBN(0x2514f2f9, 0x11ccd78e),
TOBN(0xeba11f4f, 0xe1250603), TOBN(0x8a22cd41, 0x243fa156),
TOBN(0xa4e58df4, 0xb283e4c6), TOBN(0x78c29859, 0x8b39783f),
TOBN(0x5235aee2, 0xa5259809), TOBN(0xc16284b5, 0x0e0227dd),
TOBN(0xa5f57916, 0x1338830d), TOBN(0x6d4b8a6b, 0xd2123fca),
TOBN(0x236ea68a, 0xf9c546f8), TOBN(0xc1d36873, 0xfa608d36),
TOBN(0xcd76e495, 0x8d436d13), TOBN(0xd4d9c221, 0x8fb080af),
TOBN(0x665c1728, 0xe8ad3fb5), TOBN(0xcf1ebe4d, 0xb3d572e0),
TOBN(0xa7a8746a, 0x584c5e20), TOBN(0x267e4ea1, 0xb9dc7035),
TOBN(0x593a15cf, 0xb9548c9b), TOBN(0x5e6e2135, 0x4bd012f3),
TOBN(0xdf31cc6a, 0x8c8f936e), TOBN(0x8af84d04, 0xb5c241dc),
TOBN(0x63990a6f, 0x345efb86), TOBN(0x6fef4e61, 0xb9b962cb)}
,
{TOBN(0xf6368f09, 0x25722608), TOBN(0x131260db, 0x131cf5c6),
TOBN(0x40eb353b, 0xfab4f7ac), TOBN(0x85c78880, 0x37eee829),
TOBN(0x4c1581ff, 0xc3bdf24e), TOBN(0x5bff75cb, 0xf5c3c5a8),
TOBN(0x35e8c83f, 0xa14e6f40), TOBN(0xb81d1c0f, 0x0295e0ca),
TOBN(0xfcde7cc8, 0xf43a730f), TOBN(0xe89b6f3c, 0x33ab590e),
TOBN(0xc823f529, 0xad03240b), TOBN(0x82b79afe, 0x98bea5db),
TOBN(0x568f2856, 0x962fe5de), TOBN(0x0c590adb, 0x60c591f3),
TOBN(0x1fc74a14, 0x4a28a858), TOBN(0x3b662498, 0xb3203f4c),
TOBN(0x91e3cf0d, 0x6c39765a), TOBN(0xa2db3acd, 0xac3cca0b),
TOBN(0x288f2f08, 0xcb953b50), TOBN(0x2414582c, 0xcf43cf1a),
TOBN(0x8dec8bbc, 0x60eee9a8), TOBN(0x54c79f02, 0x729aa042),
TOBN(0xd81cd5ec, 0x6532f5d5), TOBN(0xa672303a, 0xcf82e15f),
TOBN(0x376aafa8, 0x719c0563), TOBN(0xcd8ad2dc, 0xbc5fc79f),
TOBN(0x303fdb9f, 0xcb750cd3), TOBN(0x14ff052f, 0x4418b08e),
TOBN(0xf75084cf, 0x3e2d6520), TOBN(0x7ebdf0f8, 0x144ed509),
TOBN(0xf43bf0f2, 0xd3f25b98), TOBN(0x86ad71cf, 0xa354d837),
TOBN(0xb827fe92, 0x26f43572), TOBN(0xdfd3ab5b, 0x5d824758),
TOBN(0x315dd23a, 0x539094c1), TOBN(0x85c0e37a, 0x66623d68),
TOBN(0x575c7972, 0x7be19ae0), TOBN(0x616a3396, 0xdf0d36b5),
TOBN(0xa1ebb3c8, 0x26b1ff7e), TOBN(0x635b9485, 0x140ad453),
TOBN(0x92bf3cda, 0xda430c0b), TOBN(0x4702850e, 0x3a96dac6),
TOBN(0xc91cf0a5, 0x15ac326a), TOBN(0x95de4f49, 0xab8c25e4),
TOBN(0xb01bad09, 0xe265c17c), TOBN(0x24e45464, 0x087b3881),
TOBN(0xd43e583c, 0xe1fac5ca), TOBN(0xe17cb318, 0x6ead97a6),
TOBN(0x6cc39243, 0x74dcec46), TOBN(0x33cfc02d, 0x54c2b73f),
TOBN(0x82917844, 0xf26cd99c), TOBN(0x8819dd95, 0xd1773f89),
TOBN(0x09572aa6, 0x0871f427), TOBN(0x8e0cf365, 0xf6f01c34),
TOBN(0x7fa52988, 0xbff1f5af), TOBN(0x4eb357ea, 0xe75e8e50),
TOBN(0xd9d0c8c4, 0x868af75d), TOBN(0xd7325cff, 0x45c8c7ea),
TOBN(0xab471996, 0xcc81ecb0), TOBN(0xff5d55f3, 0x611824ed),
TOBN(0xbe314541, 0x1977a0ee), TOBN(0x5085c4c5, 0x722038c6),
TOBN(0x2d5335bf, 0xf94bb495), TOBN(0x894ad8a6, 0xc8e2a082),
TOBN(0x5c3e2341, 0xada35438), TOBN(0xf4a9fc89, 0x049b8c4e),
TOBN(0xbeeb355a, 0x9f17cf34), TOBN(0x3f311e0e, 0x6c91fe10),
TOBN(0xc2d20038, 0x92ab9891), TOBN(0x257bdcc1, 0x3e8ce9a9),
TOBN(0x1b2d9789, 0x88c53bee), TOBN(0x927ce89a, 0xcdba143a),
TOBN(0xb0a32cca, 0x523db280), TOBN(0x5c889f8a, 0x50d43783),
TOBN(0x503e04b3, 0x4897d16f), TOBN(0x8cdb6e78, 0x08f5f2e8),
TOBN(0x6ab91cf0, 0x179c8e74), TOBN(0xd8874e52, 0x48211d60),
TOBN(0xf948d4d5, 0xea851200), TOBN(0x4076d41e, 0xe6f9840a),
TOBN(0xc20e263c, 0x47b517ea), TOBN(0x79a448fd, 0x30685e5e),
TOBN(0xe55f6f78, 0xf90631a0), TOBN(0x88a790b1, 0xa79e6346),
TOBN(0x62160c7d, 0x80969fe8), TOBN(0x54f92fd4, 0x41491bb9),
TOBN(0xa6645c23, 0x5c957526), TOBN(0xf44cc5ae, 0xbea3ce7b),
TOBN(0xf7628327, 0x8b1e68b7), TOBN(0xc731ad7a, 0x303f29d3),
TOBN(0xfe5a9ca9, 0x57d03ecb), TOBN(0x96c0d50c, 0x41bc97a7),
TOBN(0xc4669fe7, 0x9b4f7f24), TOBN(0xfdd781d8, 0x3d9967ef),
TOBN(0x7892c7c3, 0x5d2c208d), TOBN(0x8bf64f7c, 0xae545cb3),
TOBN(0xc01f862c, 0x467be912), TOBN(0xf4c85ee9, 0xc73d30cc),
TOBN(0x1fa6f4be, 0x6ab83ec7), TOBN(0xa07a3c1c, 0x4e3e3cf9),
TOBN(0x87f8ef45, 0x0c00beb3), TOBN(0x30e2c2b3, 0x000d4c3e),
TOBN(0x1aa00b94, 0xfe08bf5b), TOBN(0x32c133aa, 0x9224ef52),
TOBN(0x38df16bb, 0x32e5685d), TOBN(0x68a9e069, 0x58e6f544),
TOBN(0x495aaff7, 0xcdc5ebc6), TOBN(0xf894a645, 0x378b135f),
TOBN(0xf316350a, 0x09e27ecf), TOBN(0xeced201e, 0x58f7179d),
TOBN(0x2eec273c, 0xe97861ba), TOBN(0x47ec2cae, 0xd693be2e),
TOBN(0xfa4c97c4, 0xf68367ce), TOBN(0xe4f47d0b, 0xbe5a5755),
TOBN(0x17de815d, 0xb298a979), TOBN(0xd7eca659, 0xc177dc7d),
TOBN(0x20fdbb71, 0x49ded0a3), TOBN(0x4cb2aad4, 0xfb34d3c5),
TOBN(0x2cf31d28, 0x60858a33), TOBN(0x3b6873ef, 0xa24aa40f),
TOBN(0x540234b2, 0x2c11bb37), TOBN(0x2d0366dd, 0xed4c74a3),
TOBN(0xf9a968da, 0xeec5f25d), TOBN(0x36601068, 0x67b63142),
TOBN(0x07cd6d2c, 0x68d7b6d4), TOBN(0xa8f74f09, 0x0c842942),
TOBN(0xe2751404, 0x7768b1ee), TOBN(0x4b5f7e89, 0xfe62aee4),
TOBN(0xc6a77177, 0x89070d26), TOBN(0xa1f28e4e, 0xdd1c8bc7),
TOBN(0xea5f4f06, 0x469e1f17), TOBN(0x78fc242a, 0xfbdb78e0),
TOBN(0xc9c7c592, 0x8b0588f1), TOBN(0xb6b7a0fd, 0x1535921e),
TOBN(0xcc5bdb91, 0xbde5ae35), TOBN(0xb42c485e, 0x12ff1864),
TOBN(0xa1113e13, 0xdbab98aa), TOBN(0xde9d469b, 0xa17b1024),
TOBN(0x23f48b37, 0xc0462d3a), TOBN(0x3752e537, 0x7c5c078d),
TOBN(0xe3a86add, 0x15544eb9), TOBN(0xf013aea7, 0x80fba279),
TOBN(0x8b5bb76c, 0xf22001b5), TOBN(0xe617ba14, 0xf02891ab),
TOBN(0xd39182a6, 0x936219d3), TOBN(0x5ce1f194, 0xae51cb19),
TOBN(0xc78f8598, 0xbf07a74c), TOBN(0x6d7158f2, 0x22cbf1bc),
TOBN(0x3b846b21, 0xe300ce18), TOBN(0x35fba630, 0x2d11275d),
TOBN(0x5fe25c36, 0xa0239b9b), TOBN(0xd8beb35d, 0xdf05d940),
TOBN(0x4db02bb0, 0x1f7e320d), TOBN(0x0641c364, 0x6da320ea),
TOBN(0x6d95fa5d, 0x821389a3), TOBN(0x92699748, 0x8fcd8e3d),
TOBN(0x316fef17, 0xceb6c143), TOBN(0x67fcb841, 0xd933762b),
TOBN(0xbb837e35, 0x118b17f8), TOBN(0x4b92552f, 0x9fd24821),
TOBN(0xae6bc70e, 0x46aca793), TOBN(0x1cf0b0e4, 0xe579311b),
TOBN(0x8dc631be, 0x5802f716), TOBN(0x099bdc6f, 0xbddbee4d),
TOBN(0xcc352bb2, 0x0caf8b05), TOBN(0xf74d505a, 0x72d63df2),
TOBN(0xb9876d4b, 0x91c4f408), TOBN(0x1ce18473, 0x9e229b2d),
TOBN(0x49507597, 0x83abdb4a), TOBN(0x850fbcb6, 0xdee84b18),
TOBN(0x6325236e, 0x609e67dc), TOBN(0x04d831d9, 0x9336c6d8),
TOBN(0x8deaae3b, 0xfa12d45d), TOBN(0xe425f8ce, 0x4746e246),
TOBN(0x8004c175, 0x24f5f31e), TOBN(0xaca16d8f, 0xad62c3b7),
TOBN(0x0dc15a6a, 0x9152f934), TOBN(0xf1235e5d, 0xed0e12c1),
TOBN(0xc33c06ec, 0xda477dac), TOBN(0x76be8732, 0xb2ea0006),
TOBN(0xcf3f7831, 0x0c0cd313), TOBN(0x3c524553, 0xa614260d),
TOBN(0x31a756f8, 0xcab22d15), TOBN(0x03ee10d1, 0x77827a20),
TOBN(0xd1e059b2, 0x1994ef20), TOBN(0x2a653b69, 0x638ae318),
TOBN(0x70d5eb58, 0x2f699010), TOBN(0x279739f7, 0x09f5f84a),
TOBN(0x5da4663c, 0x8b799336), TOBN(0xfdfdf14d, 0x203c37eb),
TOBN(0x32d8a9dc, 0xa1dbfb2d), TOBN(0xab40cff0, 0x77d48f9b),
TOBN(0xc018b383, 0xd20b42d5), TOBN(0xf9a810ef, 0x9f78845f),
TOBN(0x40af3753, 0xbdba9df0), TOBN(0xb90bdcfc, 0x131dfdf9),
TOBN(0x18720591, 0xf01ab782), TOBN(0xc823f211, 0x6af12a88),
TOBN(0xa51b80f3, 0x0dc14401), TOBN(0xde248f77, 0xfb2dfbe3),
TOBN(0xef5a44e5, 0x0cafe751), TOBN(0x73997c9c, 0xd4dcd221),
TOBN(0x32fd86d1, 0xde854024), TOBN(0xd5b53adc, 0xa09b84bb),
TOBN(0x008d7a11, 0xdcedd8d1), TOBN(0x406bd1c8, 0x74b32c84),
TOBN(0x5d4472ff, 0x05dde8b1), TOBN(0x2e25f2cd, 0xfce2b32f),
TOBN(0xbec0dd5e, 0x29dfc254), TOBN(0x4455fcf6, 0x2b98b267),
TOBN(0x0b4d43a5, 0xc72df2ad), TOBN(0xea70e6be, 0x48a75397),
TOBN(0x2aad6169, 0x5820f3bf), TOBN(0xf410d2dd, 0x9e37f68f),
TOBN(0x70fb7dba, 0x7be5ac83), TOBN(0x636bb645, 0x36ec3eec),
TOBN(0x27104ea3, 0x9754e21c), TOBN(0xbc87a3e6, 0x8d63c373),
TOBN(0x483351d7, 0x4109db9a), TOBN(0x0fa724e3, 0x60134da7),
TOBN(0x9ff44c29, 0xb0720b16), TOBN(0x2dd0cf13, 0x06aceead),
TOBN(0x5942758c, 0xe26929a6), TOBN(0x96c5db92, 0xb766a92b),
TOBN(0xcec7d4c0, 0x5f18395e), TOBN(0xd3f22744, 0x1f80d032),
TOBN(0x7a68b37a, 0xcb86075b), TOBN(0x074764dd, 0xafef92db),
TOBN(0xded1e950, 0x7bc7f389), TOBN(0xc580c850, 0xb9756460),
TOBN(0xaeeec2a4, 0x7da48157), TOBN(0x3f0b4e7f, 0x82c587b3),
TOBN(0x231c6de8, 0xa9f19c53), TOBN(0x5717bd73, 0x6974e34e),
TOBN(0xd9e1d216, 0xf1508fa9), TOBN(0x9f112361, 0xdadaa124),
TOBN(0x80145e31, 0x823b7348), TOBN(0x4dd8f0d5, 0xac634069),
TOBN(0xe3d82fc7, 0x2297c258), TOBN(0x276fcfee, 0x9cee7431),
TOBN(0x8eb61b5e, 0x2bc0aea9), TOBN(0x4f668fd5, 0xde329431),
TOBN(0x03a32ab1, 0x38e4b87e), TOBN(0xe1374517, 0x73d0ef0b),
TOBN(0x1a46f7e6, 0x853ac983), TOBN(0xc3bdf42e, 0x68e78a57),
TOBN(0xacf20785, 0x2ea96dd1), TOBN(0xa10649b9, 0xf1638460),
TOBN(0xf2369f0b, 0x879fbbed), TOBN(0x0ff0ae86, 0xda9d1869),
TOBN(0x5251d759, 0x56766f45), TOBN(0x4984d8c0, 0x2be8d0fc),
TOBN(0x7ecc95a6, 0xd21008f0), TOBN(0x29bd54a0, 0x3a1a1c49),
TOBN(0xab9828c5, 0xd26c50f3), TOBN(0x32c0087c, 0x51d0d251),
TOBN(0x9bac3ce6, 0x0c1cdb26), TOBN(0xcd94d947, 0x557ca205),
TOBN(0x1b1bd598, 0x9db1fdcd), TOBN(0x0eda0108, 0xa3d8b149),
TOBN(0x95066610, 0x56152fcc), TOBN(0xc2f037e6, 0xe7192b33),
TOBN(0xdeffb41a, 0xc92e05a4), TOBN(0x1105f6c2, 0xc2f6c62e),
TOBN(0x68e73500, 0x8733913c), TOBN(0xcce86163, 0x3f3adc40),
TOBN(0xf407a942, 0x38a278e9), TOBN(0xd13c1b9d, 0x2ab21292),
TOBN(0x93ed7ec7, 0x1c74cf5c), TOBN(0x8887dc48, 0xf1a4c1b4),
TOBN(0x3830ff30, 0x4b3a11f1), TOBN(0x358c5a3c, 0x58937cb6),
TOBN(0x027dc404, 0x89022829), TOBN(0x40e93977, 0x3b798f79),
TOBN(0x90ad3337, 0x38be6ead), TOBN(0x9c23f6bc, 0xf34c0a5d),
TOBN(0xd1711a35, 0xfbffd8bb), TOBN(0x60fcfb49, 0x1949d3dd),
TOBN(0x09c8ef4b, 0x7825d93a), TOBN(0x24233cff, 0xa0a8c968),
TOBN(0x67ade46c, 0xe6d982af), TOBN(0xebb6bf3e, 0xe7544d7c),
TOBN(0xd6b9ba76, 0x3d8bd087), TOBN(0x46fe382d, 0x4dc61280),
TOBN(0xbd39a7e8, 0xb5bdbd75), TOBN(0xab381331, 0xb8f228fe),
TOBN(0x0709a77c, 0xce1c4300), TOBN(0x6a247e56, 0xf337ceac),
TOBN(0x8f34f21b, 0x636288be), TOBN(0x9dfdca74, 0xc8a7c305),
TOBN(0x6decfd1b, 0xea919e04), TOBN(0xcdf2688d, 0x8e1991f8),
TOBN(0xe607df44, 0xd0f8a67e), TOBN(0xd985df4b, 0x0b58d010),
TOBN(0x57f834c5, 0x0c24f8f4), TOBN(0xe976ef56, 0xa0bf01ae),
TOBN(0x536395ac, 0xa1c32373), TOBN(0x351027aa, 0x734c0a13),
TOBN(0xd2f1b5d6, 0x5e6bd5bc), TOBN(0x2b539e24, 0x223debed),
TOBN(0xd4994cec, 0x0eaa1d71), TOBN(0x2a83381d, 0x661dcf65),
TOBN(0x5f1aed2f, 0x7b54c740), TOBN(0x0bea3fa5, 0xd6dda5ee),
TOBN(0x9d4fb684, 0x36cc6134), TOBN(0x8eb9bbf3, 0xc0a443dd),
TOBN(0xfc500e2e, 0x383b7d2a), TOBN(0x7aad621c, 0x5b775257),
TOBN(0x69284d74, 0x0a8f7cc0), TOBN(0xe820c2ce, 0x07562d65),
TOBN(0xbf9531b9, 0x499758ee), TOBN(0x73e95ca5, 0x6ee0cc2d),
TOBN(0xf61790ab, 0xfbaf50a5), TOBN(0xdf55e76b, 0x684e0750),
TOBN(0xec516da7, 0xf176b005), TOBN(0x575553bb, 0x7a2dddc7),
TOBN(0x37c87ca3, 0x553afa73), TOBN(0x315f3ffc, 0x4d55c251),
TOBN(0xe846442a, 0xaf3e5d35), TOBN(0x61b91149, 0x6495ff28),
TOBN(0x23cc95d3, 0xfa326dc3), TOBN(0x1df4da1f, 0x18fc2cea),
TOBN(0x24bf9adc, 0xd0a37d59), TOBN(0xb6710053, 0x320d6e1e),
TOBN(0x96f9667e, 0x618344d1), TOBN(0xcc7ce042, 0xa06445af),
TOBN(0xa02d8514, 0xd68dbc3a), TOBN(0x4ea109e4, 0x280b5a5b),
TOBN(0x5741a7ac, 0xb40961bf), TOBN(0x4ada5937, 0x6aa56bfa),
TOBN(0x7feb9145, 0x02b765d1), TOBN(0x561e97be, 0xe6ad1582),
TOBN(0xbbc4a5b6, 0xda3982f5), TOBN(0x0c2659ed, 0xb546f468),
TOBN(0xb8e7e6aa, 0x59612d20), TOBN(0xd83dfe20, 0xac19e8e0),
TOBN(0x8530c45f, 0xb835398c), TOBN(0x6106a8bf, 0xb38a41c2),
TOBN(0x21e8f9a6, 0x35f5dcdb), TOBN(0x39707137, 0xcae498ed),
TOBN(0x70c23834, 0xd8249f00), TOBN(0x9f14b58f, 0xab2537a0),
TOBN(0xd043c365, 0x5f61c0c2), TOBN(0xdc5926d6, 0x09a194a7),
TOBN(0xddec0339, 0x8e77738a), TOBN(0xd07a63ef, 0xfba46426),
TOBN(0x2e58e79c, 0xee7f6e86), TOBN(0xe59b0459, 0xff32d241),
TOBN(0xc5ec84e5, 0x20fa0338), TOBN(0x97939ac8, 0xeaff5ace),
TOBN(0x0310a4e3, 0xb4a38313), TOBN(0x9115fba2, 0x8f9d9885),
TOBN(0x8dd710c2, 0x5fadf8c3), TOBN(0x66be38a2, 0xce19c0e2),
TOBN(0xd42a279c, 0x4cfe5022), TOBN(0x597bb530, 0x0e24e1b8),
TOBN(0x3cde86b7, 0xc153ca7f), TOBN(0xa8d30fb3, 0x707d63bd),
TOBN(0xac905f92, 0xbd60d21e), TOBN(0x98e7ffb6, 0x7b9a54ab),
TOBN(0xd7147df8, 0xe9726a30), TOBN(0xb5e216ff, 0xafce3533),
TOBN(0xb550b799, 0x2ff1ec40), TOBN(0x6b613b87, 0xa1e953fd),
TOBN(0x87b88dba, 0x792d5610), TOBN(0x2ee1270a, 0xa190fbe1),
TOBN(0x02f4e2dc, 0x2ef581da), TOBN(0x016530e4, 0xeff82a95),
TOBN(0xcbb93dfd, 0x8fd6ee89), TOBN(0x16d3d986, 0x46848fff),
TOBN(0x600eff24, 0x1da47adf), TOBN(0x1b9754a0, 0x0ad47a71),
TOBN(0x8f9266df, 0x70c33b98), TOBN(0xaadc87ae, 0xdf34186e),
TOBN(0x0d2ce8e1, 0x4ad24132), TOBN(0x8a47cbfc, 0x19946eba),
TOBN(0x47feeb66, 0x62b5f3af), TOBN(0xcefab561, 0x0abb3734),
TOBN(0x449de60e, 0x19f35cb1), TOBN(0x39f8db14, 0x157f0eb9),
TOBN(0xffaecc5b, 0x3c61bfd6), TOBN(0xa5a4d41d, 0x41216703),
TOBN(0x7f8fabed, 0x224e1cc2), TOBN(0x0d5a8186, 0x871ad953),
TOBN(0xf10774f7, 0xd22da9a9), TOBN(0x45b8a678, 0xcc8a9b0d),
TOBN(0xd9c2e722, 0xbdc32cff), TOBN(0xbf71b5f5, 0x337202a5),
TOBN(0x95c57f2f, 0x69fc4db9), TOBN(0xb6dad34c, 0x765d01e1),
TOBN(0x7e0bd13f, 0xcb904635), TOBN(0x61751253, 0x763a588c),
TOBN(0xd85c2997, 0x81af2c2d), TOBN(0xc0f7d9c4, 0x81b9d7da),
TOBN(0x838a34ae, 0x08533e8d), TOBN(0x15c4cb08, 0x311d8311),
TOBN(0x97f83285, 0x8e121e14), TOBN(0xeea7dc1e, 0x85000a5f),
TOBN(0x0c6059b6, 0x5d256274), TOBN(0xec9beace, 0xb95075c0),
TOBN(0x173daad7, 0x1df97828), TOBN(0xbf851cb5, 0xa8937877),
TOBN(0xb083c594, 0x01646f3c), TOBN(0x3bad30cf, 0x50c6d352),
TOBN(0xfeb2b202, 0x496bbcea), TOBN(0x3cf9fd4f, 0x18a1e8ba),
TOBN(0xd26de7ff, 0x1c066029), TOBN(0x39c81e9e, 0x4e9ed4f8),
TOBN(0xd8be0cb9, 0x7b390d35), TOBN(0x01df2bbd, 0x964aab27),
TOBN(0x3e8c1a65, 0xc3ef64f8), TOBN(0x567291d1, 0x716ed1dd),
TOBN(0x95499c6c, 0x5f5406d3), TOBN(0x71fdda39, 0x5ba8e23f),
TOBN(0xcfeb320e, 0xd5096ece), TOBN(0xbe7ba92b, 0xca66dd16),
TOBN(0x4608d36b, 0xc6fb5a7d), TOBN(0xe3eea15a, 0x6d2dd0e0),
TOBN(0x75b0a3eb, 0x8f97a36a), TOBN(0xf59814cc, 0x1c83de1e),
TOBN(0x56c9c5b0, 0x1c33c23f), TOBN(0xa96c1da4, 0x6faa4136),
TOBN(0x46bf2074, 0xde316551), TOBN(0x3b866e7b, 0x1f756c8f),
TOBN(0x727727d8, 0x1495ed6b), TOBN(0xb2394243, 0xb682dce7),
TOBN(0x8ab8454e, 0x758610f3), TOBN(0xc243ce84, 0x857d72a4),
TOBN(0x7b320d71, 0xdbbf370f), TOBN(0xff9afa37, 0x78e0f7ca),
TOBN(0x0119d1e0, 0xea7b523f), TOBN(0xb997f8cb, 0x058c7d42),
TOBN(0x285bcd2a, 0x37bbb184), TOBN(0x51dcec49, 0xa45d1fa6),
TOBN(0x6ade3b64, 0xe29634cb), TOBN(0x080c94a7, 0x26b86ef1),
TOBN(0xba583db1, 0x2283fbe3), TOBN(0x902bddc8, 0x5a9315ed),
TOBN(0x07c1ccb3, 0x86964bec), TOBN(0x78f4eacf, 0xb6258301),
TOBN(0x4bdf3a49, 0x56f90823), TOBN(0xba0f5080, 0x741d777b),
TOBN(0x091d71c3, 0xf38bf760), TOBN(0x9633d50f, 0x9b625b02),
TOBN(0x03ecb743, 0xb8c9de61), TOBN(0xb4751254, 0x5de74720),
TOBN(0x9f9defc9, 0x74ce1cb2), TOBN(0x774a4f6a, 0x00bd32ef),
TOBN(0xaca385f7, 0x73848f22), TOBN(0x53dad716, 0xf3f8558e),
TOBN(0xab7b34b0, 0x93c471f9), TOBN(0xf530e069, 0x19644bc7),
TOBN(0x3d9fb1ff, 0xdd59d31a), TOBN(0x4382e0df, 0x08daa795),
TOBN(0x165c6f4b, 0xd5cc88d7), TOBN(0xeaa392d5, 0x4a18c900),
TOBN(0x94203c67, 0x648024ee), TOBN(0x188763f2, 0x8c2fabcd),
TOBN(0xa80f87ac, 0xbbaec835), TOBN(0x632c96e0, 0xf29d8d54),
TOBN(0x29b0a60e, 0x4c00a95e), TOBN(0x2ef17f40, 0xe011e9fa),
TOBN(0xf6c0e1d1, 0x15b77223), TOBN(0xaaec2c62, 0x14b04e32),
TOBN(0xd35688d8, 0x3d84e58c), TOBN(0x2af5094c, 0x958571db),
TOBN(0x4fff7e19, 0x760682a6), TOBN(0x4cb27077, 0xe39a407c),
TOBN(0x0f59c547, 0x4ff0e321), TOBN(0x169f34a6, 0x1b34c8ff),
TOBN(0x2bff1096, 0x52bc1ba7), TOBN(0xa25423b7, 0x83583544),
TOBN(0x5d55d5d5, 0x0ac8b782), TOBN(0xff6622ec, 0x2db3c892),
TOBN(0x48fce741, 0x6b8bb642), TOBN(0x31d6998c, 0x69d7e3dc),
TOBN(0xdbaf8004, 0xcadcaed0), TOBN(0x801b0142, 0xd81d053c),
TOBN(0x94b189fc, 0x59630ec6), TOBN(0x120e9934, 0xaf762c8e),
TOBN(0x53a29aa4, 0xfdc6a404), TOBN(0x19d8e01e, 0xa1909948),
TOBN(0x3cfcabf1, 0xd7e89681), TOBN(0x3321a50d, 0x4e132d37),
TOBN(0xd0496863, 0xe9a86111), TOBN(0x8c0cde61, 0x06a3bc65),
TOBN(0xaf866c49, 0xfc9f8eef), TOBN(0x2066350e, 0xff7f5141),
TOBN(0x4f8a4689, 0xe56ddfbd), TOBN(0xea1b0c07, 0xfe32983a),
TOBN(0x2b317462, 0x873cb8cb), TOBN(0x658deddc, 0x2d93229f),
TOBN(0x65efaf4d, 0x0f64ef58), TOBN(0xfe43287d, 0x730cc7a8),
TOBN(0xaebc0c72, 0x3d047d70), TOBN(0x92efa539, 0xd92d26c9),
TOBN(0x06e78457, 0x94b56526), TOBN(0x415cb80f, 0x0961002d),
TOBN(0x89e5c565, 0x76dcb10f), TOBN(0x8bbb6982, 0xff9259fe),
TOBN(0x4fe8795b, 0x9abc2668), TOBN(0xb5d4f534, 0x1e678fb1),
TOBN(0x6601f3be, 0x7b7da2b9), TOBN(0x98da59e2, 0xa13d6805),
TOBN(0x190d8ea6, 0x01799a52), TOBN(0xa20cec41, 0xb86d2952),
TOBN(0x3062ffb2, 0x7fff2a7c), TOBN(0x741b32e5, 0x79f19d37),
TOBN(0xf80d8181, 0x4eb57d47), TOBN(0x7a2d0ed4, 0x16aef06b),
TOBN(0x09735fb0, 0x1cecb588), TOBN(0x1641caaa, 0xc6061f5b)}
,
{TOBN(0x7f99824f, 0x20151427), TOBN(0x206828b6, 0x92430206),
TOBN(0xaa9097d7, 0xe1112357), TOBN(0xacf9a2f2, 0x09e414ec),
TOBN(0xdbdac9da, 0x27915356), TOBN(0x7e0734b7, 0x001efee3),
TOBN(0x54fab5bb, 0xd2b288e2), TOBN(0x4c630fc4, 0xf62dd09c),
TOBN(0x8537107a, 0x1ac2703b), TOBN(0xb49258d8, 0x6bc857b5),
TOBN(0x57df14de, 0xbcdaccd1), TOBN(0x24ab68d7, 0xc4ae8529),
TOBN(0x7ed8b5d4, 0x734e59d0), TOBN(0x5f8740c8, 0xc495cc80),
TOBN(0x84aedd5a, 0x291db9b3), TOBN(0x80b360f8, 0x4fb995be),
TOBN(0xae915f5d, 0x5fa067d1), TOBN(0x4134b57f, 0x9668960c),
TOBN(0xbd3656d6, 0xa48edaac), TOBN(0xdac1e3e4, 0xfc1d7436),
TOBN(0x674ff869, 0xd81fbb26), TOBN(0x449ed3ec, 0xb26c33d4),
TOBN(0x85138705, 0xd94203e8), TOBN(0xccde538b, 0xbeeb6f4a),
TOBN(0x55d5c68d, 0xa61a76fa), TOBN(0x598b441d, 0xca1554dc),
TOBN(0xd39923b9, 0x773b279c), TOBN(0x33331d3c, 0x36bf9efc),
TOBN(0x2d4c848e, 0x298de399), TOBN(0xcfdb8e77, 0xa1a27f56),
TOBN(0x94c855ea, 0x57b8ab70), TOBN(0xdcdb9dae, 0x6f7879ba),
TOBN(0x7bdff8c2, 0x019f2a59), TOBN(0xb3ce5bb3, 0xcb4fbc74),
TOBN(0xea907f68, 0x8a9173dd), TOBN(0x6cd3d0d3, 0x95a75439),
TOBN(0x92ecc4d6, 0xefed021c), TOBN(0x09a9f9b0, 0x6a77339a),
TOBN(0x87ca6b15, 0x7188c64a), TOBN(0x10c29968, 0x44899158),
TOBN(0x5859a229, 0xed6e82ef), TOBN(0x16f338e3, 0x65ebaf4e),
TOBN(0x0cd31387, 0x5ead67ae), TOBN(0x1c73d228, 0x54ef0bb4),
TOBN(0x4cb55131, 0x74a5c8c7), TOBN(0x01cd2970, 0x7f69ad6a),
TOBN(0xa04d00dd, 0xe966f87e), TOBN(0xd96fe447, 0x0b7b0321),
TOBN(0x342ac06e, 0x88fbd381), TOBN(0x02cd4a84, 0x5c35a493),
TOBN(0xe8fa89de, 0x54f1bbcd), TOBN(0x341d6367, 0x2575ed4c),
TOBN(0xebe357fb, 0xd238202b), TOBN(0x600b4d1a, 0xa984ead9),
TOBN(0xc35c9f44, 0x52436ea0), TOBN(0x96fe0a39, 0xa370751b),
TOBN(0x4c4f0736, 0x7f636a38), TOBN(0x9f943fb7, 0x0e76d5cb),
TOBN(0xb03510ba, 0xa8b68b8b), TOBN(0xc246780a, 0x9ed07a1f),
TOBN(0x3c051415, 0x6d549fc2), TOBN(0xc2953f31, 0x607781ca),
TOBN(0x955e2c69, 0xd8d95413), TOBN(0xb300fadc, 0x7bd282e3),
TOBN(0x81fe7b50, 0x87e9189f), TOBN(0xdb17375c, 0xf42dda27),
TOBN(0x22f7d896, 0xcf0a5904), TOBN(0xa0e57c5a, 0xebe348e6),
TOBN(0xa61011d3, 0xf40e3c80), TOBN(0xb1189321, 0x8db705c5),
TOBN(0x4ed9309e, 0x50fedec3), TOBN(0xdcf14a10, 0x4d6d5c1d),
TOBN(0x056c265b, 0x55691342), TOBN(0xe8e08504, 0x91049dc7),
TOBN(0x131329f5, 0xc9bae20a), TOBN(0x96c8b3e8, 0xd9dccdb4),
TOBN(0x8c5ff838, 0xfb4ee6b4), TOBN(0xfc5a9aeb, 0x41e8ccf0),
TOBN(0x7417b764, 0xfae050c6), TOBN(0x0953c3d7, 0x00452080),
TOBN(0x21372682, 0x38dfe7e8), TOBN(0xea417e15, 0x2bb79d4b),
TOBN(0x59641f1c, 0x76e7cf2d), TOBN(0x271e3059, 0xea0bcfcc),
TOBN(0x624c7dfd, 0x7253ecbd), TOBN(0x2f552e25, 0x4fca6186),
TOBN(0xcbf84ecd, 0x4d866e9c), TOBN(0x73967709, 0xf68d4610),
TOBN(0xa14b1163, 0xc27901b4), TOBN(0xfd9236e0, 0x899b8bf3),
TOBN(0x42b091ec, 0xcbc6da0a), TOBN(0xbb1dac6f, 0x5ad1d297),
TOBN(0x80e61d53, 0xa91cf76e), TOBN(0x4110a412, 0xd31f1ee7),
TOBN(0x2d87c3ba, 0x13efcf77), TOBN(0x1f374bb4, 0xdf450d76),
TOBN(0x5e78e2f2, 0x0d188dab), TOBN(0xe3968ed0, 0xf4b885ef),
TOBN(0x46c0568e, 0x7314570f), TOBN(0x31616338, 0x01170521),
TOBN(0x18e1e7e2, 0x4f0c8afe), TOBN(0x4caa75ff, 0xdeea78da),
TOBN(0x82db67f2, 0x7c5d8a51), TOBN(0x36a44d86, 0x6f505370),
TOBN(0xd72c5bda, 0x0333974f), TOBN(0x5db516ae, 0x27a70146),
TOBN(0x34705281, 0x210ef921), TOBN(0xbff17a8f, 0x0c9c38e5),
TOBN(0x78f4814e, 0x12476da1), TOBN(0xc1e16613, 0x33c16980),
TOBN(0x9e5b386f, 0x424d4bca), TOBN(0x4c274e87, 0xc85740de),
TOBN(0xb6a9b88d, 0x6c2f5226), TOBN(0x14d1b944, 0x550d7ca8),
TOBN(0x580c85fc, 0x1fc41709), TOBN(0xc1da368b, 0x54c6d519),
TOBN(0x2b0785ce, 0xd5113cf7), TOBN(0x0670f633, 0x5a34708f),
TOBN(0x46e23767, 0x15cc3f88), TOBN(0x1b480cfa, 0x50c72c8f),
TOBN(0x20288602, 0x4147519a), TOBN(0xd0981eac, 0x26b372f0),
TOBN(0xa9d4a7ca, 0xa785ebc8), TOBN(0xd953c50d, 0xdbdf58e9),
TOBN(0x9d6361cc, 0xfd590f8f), TOBN(0x72e9626b, 0x44e6c917),
TOBN(0x7fd96110, 0x22eb64cf), TOBN(0x863ebb7e, 0x9eb288f3),
TOBN(0x6e6ab761, 0x6aca8ee7), TOBN(0x97d10b39, 0xd7b40358),
TOBN(0x1687d377, 0x1e5feb0d), TOBN(0xc83e50e4, 0x8265a27a),
TOBN(0x8f75a9fe, 0xc954b313), TOBN(0xcc2e8f47, 0x310d1f61),
TOBN(0xf5ba81c5, 0x6557d0e0), TOBN(0x25f9680c, 0x3eaf6207),
TOBN(0xf95c6609, 0x4354080b), TOBN(0x5225bfa5, 0x7bf2fe1c),
TOBN(0xc5c004e2, 0x5c7d98fa), TOBN(0x3561bf1c, 0x019aaf60),
TOBN(0x5e6f9f17, 0xba151474), TOBN(0xdec2f934, 0xb04f6eca),
TOBN(0x64e368a1, 0x269acb1e), TOBN(0x1332d9e4, 0x0cdda493),
TOBN(0x60d6cf69, 0xdf23de05), TOBN(0x66d17da2, 0x009339a0),
TOBN(0x9fcac985, 0x0a693923), TOBN(0xbcf057fc, 0xed7c6a6d),
TOBN(0xc3c5c8c5, 0xf0b5662c), TOBN(0x25318dd8, 0xdcba4f24),
TOBN(0x60e8cb75, 0x082b69ff), TOBN(0x7c23b3ee, 0x1e728c01),
TOBN(0x15e10a0a, 0x097e4403), TOBN(0xcb3d0a86, 0x19854665),
TOBN(0x88d8e211, 0xd67d4826), TOBN(0xb39af66e, 0x0b9d2839),
TOBN(0xa5f94588, 0xbd475ca8), TOBN(0xe06b7966, 0xc077b80b),
TOBN(0xfedb1485, 0xda27c26c), TOBN(0xd290d33a, 0xfe0fd5e0),
TOBN(0xa40bcc47, 0xf34fb0fa), TOBN(0xb4760cc8, 0x1fb1ab09),
TOBN(0x8fca0993, 0xa273bfe3), TOBN(0x13e4fe07, 0xf70b213c),
TOBN(0x3bcdb992, 0xfdb05163), TOBN(0x8c484b11, 0x0c2b19b6),
TOBN(0x1acb815f, 0xaaf2e3e2), TOBN(0xc6905935, 0xb89ff1b4),
TOBN(0xb2ad6f9d, 0x586e74e1), TOBN(0x488883ad, 0x67b80484),
TOBN(0x758aa2c7, 0x369c3ddb), TOBN(0x8ab74e69, 0x9f9afd31),
TOBN(0x10fc2d28, 0x5e21beb1), TOBN(0x3484518a, 0x318c42f9),
TOBN(0x377427dc, 0x53cf40c3), TOBN(0x9de0781a, 0x391bc1d9),
TOBN(0x8faee858, 0x693807e1), TOBN(0xa3865327, 0x4e81ccc7),
TOBN(0x02c30ff2, 0x6f835b84), TOBN(0xb604437b, 0x0d3d38d4),
TOBN(0xb3fc8a98, 0x5ca1823d), TOBN(0xb82f7ec9, 0x03be0324),
TOBN(0xee36d761, 0xcf684a33), TOBN(0x5a01df0e, 0x9f29bf7d),
TOBN(0x686202f3, 0x1306583d), TOBN(0x05b10da0, 0x437c622e),
TOBN(0xbf9aaa0f, 0x076a7bc8), TOBN(0x25e94efb, 0x8f8f4e43),
TOBN(0x8a35c9b7, 0xfa3dc26d), TOBN(0xe0e5fb93, 0x96ff03c5),
TOBN(0xa77e3843, 0xebc394ce), TOBN(0xcede6595, 0x8361de60),
TOBN(0xd27c22f6, 0xa1993545), TOBN(0xab01cc36, 0x24d671ba),
TOBN(0x63fa2877, 0xa169c28e), TOBN(0x925ef904, 0x2eb08376),
TOBN(0x3b2fa3cf, 0x53aa0b32), TOBN(0xb27beb5b, 0x71c49d7a),
TOBN(0xb60e1834, 0xd105e27f), TOBN(0xd6089788, 0x4f68570d),
TOBN(0x23094ce0, 0xd6fbc2ac), TOBN(0x738037a1, 0x815ff551),
TOBN(0xda73b1bb, 0x6bef119c), TOBN(0xdcf6c430, 0xeef506ba),
TOBN(0x00e4fe7b, 0xe3ef104a), TOBN(0xebdd9a2c, 0x0a065628),
TOBN(0x853a81c3, 0x8792043e), TOBN(0x22ad6ece, 0xb3b59108),
TOBN(0x9fb813c0, 0x39cd297d), TOBN(0x8ec7e16e, 0x05bda5d9),
TOBN(0x2834797c, 0x0d104b96), TOBN(0xcc11a2e7, 0x7c511510),
TOBN(0x96ca5a53, 0x96ee6380), TOBN(0x054c8655, 0xcea38742),
TOBN(0xb5946852, 0xd54dfa7d), TOBN(0x97c422e7, 0x1f4ab207),
TOBN(0xbf907509, 0x0c22b540), TOBN(0x2cde42aa, 0xb7c267d4),
TOBN(0xba18f9ed, 0x5ab0d693), TOBN(0x3ba62aa6, 0x6e4660d9),
TOBN(0xb24bf97b, 0xab9ea96a), TOBN(0x5d039642, 0xe3b60e32),
TOBN(0x4e6a4506, 0x7c4d9bd5), TOBN(0x666c5b9e, 0x7ed4a6a4),
TOBN(0xfa3fdcd9, 0x8edbd7cc), TOBN(0x4660bb87, 0xc6ccd753),
TOBN(0x9ae90820, 0x21e6b64f), TOBN(0x8a56a713, 0xb36bfb3f),
TOBN(0xabfce096, 0x5726d47f), TOBN(0x9eed01b2, 0x0b1a9a7f),
TOBN(0x30e9cad4, 0x4eb74a37), TOBN(0x7b2524cc, 0x53e9666d),
TOBN(0x6a29683b, 0x8f4b002f), TOBN(0xc2200d7a, 0x41f4fc20),
TOBN(0xcf3af47a, 0x3a338acc), TOBN(0x6539a4fb, 0xe7128975),
TOBN(0xcec31c14, 0xc33c7fcf), TOBN(0x7eb6799b, 0xc7be322b),
TOBN(0x119ef4e9, 0x6646f623), TOBN(0x7b7a26a5, 0x54d7299b),
TOBN(0xcb37f08d, 0x403f46f2), TOBN(0x94b8fc43, 0x1a0ec0c7),
TOBN(0xbb8514e3, 0xc332142f), TOBN(0xf3ed2c33, 0xe80d2a7a),
TOBN(0x8d2080af, 0xb639126c), TOBN(0xf7b6be60, 0xe3553ade),
TOBN(0x3950aa9f, 0x1c7e2b09), TOBN(0x847ff958, 0x6410f02b),
TOBN(0x877b7cf5, 0x678a31b0), TOBN(0xd50301ae, 0x3998b620),
TOBN(0x734257c5, 0xc00fb396), TOBN(0xf9fb18a0, 0x04e672a6),
TOBN(0xff8bd8eb, 0xe8758851), TOBN(0x1e64e4c6, 0x5d99ba44),
TOBN(0x4b8eaedf, 0x7dfd93b7), TOBN(0xba2f2a98, 0x04e76b8c),
TOBN(0x7d790cba, 0xe8053433), TOBN(0xc8e725a0, 0x3d2c9585),
TOBN(0x58c5c476, 0xcdd8f5ed), TOBN(0xd106b952, 0xefa9fe1d),
TOBN(0x3c5c775b, 0x0eff13a9), TOBN(0x242442ba, 0xe057b930),
TOBN(0xe9f458d4, 0xc9b70cbd), TOBN(0x69b71448, 0xa3cdb89a),
TOBN(0x41ee46f6, 0x0e2ed742), TOBN(0x573f1045, 0x40067493),
TOBN(0xb1e154ff, 0x9d54c304), TOBN(0x2ad0436a, 0x8d3a7502),
TOBN(0xee4aaa2d, 0x431a8121), TOBN(0xcd38b3ab, 0x886f11ed),
TOBN(0x57d49ea6, 0x034a0eb7), TOBN(0xd2b773bd, 0xf7e85e58),
TOBN(0x4a559ac4, 0x9b5c1f14), TOBN(0xc444be1a, 0x3e54df2b),
TOBN(0x13aad704, 0xeda41891), TOBN(0xcd927bec, 0x5eb5c788),
TOBN(0xeb3c8516, 0xe48c8a34), TOBN(0x1b7ac812, 0x4b546669),
TOBN(0x1815f896, 0x594df8ec), TOBN(0x87c6a79c, 0x79227865),
TOBN(0xae02a2f0, 0x9b56ddbd), TOBN(0x1339b5ac, 0x8a2f1cf3),
TOBN(0xf2b569c7, 0x839dff0d), TOBN(0xb0b9e864, 0xfee9a43d),
TOBN(0x4ff8ca41, 0x77bb064e), TOBN(0x145a2812, 0xfd249f63),
TOBN(0x3ab7beac, 0xf86f689a), TOBN(0x9bafec27, 0x01d35f5e),
TOBN(0x28054c65, 0x4265aa91), TOBN(0xa4b18304, 0x035efe42),
TOBN(0x6887b0e6, 0x9639dec7), TOBN(0xf4b8f6ad, 0x3d52aea5),
TOBN(0xfb9293cc, 0x971a8a13), TOBN(0x3f159e5d, 0x4c934d07),
TOBN(0x2c50e9b1, 0x09acbc29), TOBN(0x08eb65e6, 0x7154d129),
TOBN(0x4feff589, 0x30b75c3e), TOBN(0x0bb82fe2, 0x94491c93),
TOBN(0xd8ac377a, 0x89af62bb), TOBN(0xd7b51490, 0x9685e49f),
TOBN(0xabca9a7b, 0x04497f19), TOBN(0x1b35ed0a, 0x1a7ad13f),
TOBN(0x6b601e21, 0x3ec86ed6), TOBN(0xda91fcb9, 0xce0c76f1),
TOBN(0x9e28507b, 0xd7ab27e1), TOBN(0x7c19a555, 0x63945b7b),
TOBN(0x6b43f0a1, 0xaafc9827), TOBN(0x443b4fbd, 0x3aa55b91),
TOBN(0x962b2e65, 0x6962c88f), TOBN(0x139da8d4, 0xce0db0ca),
TOBN(0xb93f05dd, 0x1b8d6c4f), TOBN(0x779cdff7, 0x180b9824),
TOBN(0xbba23fdd, 0xae57c7b7), TOBN(0x345342f2, 0x1b932522),
TOBN(0xfd9c80fe, 0x556d4aa3), TOBN(0xa03907ba, 0x6525bb61),
TOBN(0x38b010e1, 0xff218933), TOBN(0xc066b654, 0xaa52117b),
TOBN(0x8e141920, 0x94f2e6ea), TOBN(0x66a27dca, 0x0d32f2b2),
TOBN(0x69c7f993, 0x048b3717), TOBN(0xbf5a989a, 0xb178ae1c),
TOBN(0x49fa9058, 0x564f1d6b), TOBN(0x27ec6e15, 0xd31fde4e),
TOBN(0x4cce0373, 0x7276e7fc), TOBN(0x64086d79, 0x89d6bf02),
TOBN(0x5a72f046, 0x4ccdd979), TOBN(0x909c3566, 0x47775631),
TOBN(0x1c07bc6b, 0x75dd7125), TOBN(0xb4c6bc97, 0x87a0428d),
TOBN(0x507ece52, 0xfdeb6b9d), TOBN(0xfca56512, 0xb2c95432),
TOBN(0x15d97181, 0xd0e8bd06), TOBN(0x384dd317, 0xc6bb46ea),
TOBN(0x5441ea20, 0x3952b624), TOBN(0xbcf70dee, 0x4e7dc2fb),
TOBN(0x372b016e, 0x6628e8c3), TOBN(0x07a0d667, 0xb60a7522),
TOBN(0xcf05751b, 0x0a344ee2), TOBN(0x0ec09a48, 0x118bdeec),
TOBN(0x6e4b3d4e, 0xd83dce46), TOBN(0x43a6316d, 0x99d2fc6e),
TOBN(0xa99d8989, 0x56cf044c), TOBN(0x7c7f4454, 0xae3e5fb7),
TOBN(0xb2e6b121, 0xfbabbe92), TOBN(0x281850fb, 0xe1330076),
TOBN(0x093581ec, 0x97890015), TOBN(0x69b1dded, 0x75ff77f5),
TOBN(0x7cf0b18f, 0xab105105), TOBN(0x953ced31, 0xa89ccfef),
TOBN(0x3151f85f, 0xeb914009), TOBN(0x3c9f1b87, 0x88ed48ad),
TOBN(0xc9aba1a1, 0x4a7eadcb), TOBN(0x928e7501, 0x522e71cf),
TOBN(0xeaede727, 0x3a2e4f83), TOBN(0x467e10d1, 0x1ce3bbd3),
TOBN(0xf3442ac3, 0xb955dcf0), TOBN(0xba96307d, 0xd3d5e527),
TOBN(0xf763a10e, 0xfd77f474), TOBN(0x5d744bd0, 0x6a6e1ff0),
TOBN(0xd287282a, 0xa777899e), TOBN(0xe20eda8f, 0xd03f3cde),
TOBN(0x6a7e75bb, 0x50b07d31), TOBN(0x0b7e2a94, 0x6f379de4),
TOBN(0x31cb64ad, 0x19f593cf), TOBN(0x7b1a9e4f, 0x1e76ef1d),
TOBN(0xe18c9c9d, 0xb62d609c), TOBN(0x439bad6d, 0xe779a650),
TOBN(0x219d9066, 0xe032f144), TOBN(0x1db632b8, 0xe8b2ec6a),
TOBN(0xff0d0fd4, 0xfda12f78), TOBN(0x56fb4c2d, 0x2a25d265),
TOBN(0x5f4e2ee1, 0x255a03f1), TOBN(0x61cd6af2, 0xe96af176),
TOBN(0xe0317ba8, 0xd068bc97), TOBN(0x927d6bab, 0x264b988e),
TOBN(0xa18f07e0, 0xe90fb21e), TOBN(0x00fd2b80, 0xbba7fca1),
TOBN(0x20387f27, 0x95cd67b5), TOBN(0x5b89a4e7, 0xd39707f7),
TOBN(0x8f83ad3f, 0x894407ce), TOBN(0xa0025b94, 0x6c226132),
TOBN(0xc79563c7, 0xf906c13b), TOBN(0x5f548f31, 0x4e7bb025),
TOBN(0x2b4c6b8f, 0xeac6d113), TOBN(0xa67e3f9c, 0x0e813c76),
TOBN(0x3982717c, 0x3fe1f4b9), TOBN(0x58865819, 0x26d8050e),
TOBN(0x99f3640c, 0xf7f06f20), TOBN(0xdc610216, 0x2a66ebc2),
TOBN(0x52f2c175, 0x767a1e08), TOBN(0x05660e1a, 0x5999871b),
TOBN(0x6b0f1762, 0x6d3c4693), TOBN(0xf0e7d627, 0x37ed7bea),
TOBN(0xc51758c7, 0xb75b226d), TOBN(0x40a88628, 0x1f91613b),
TOBN(0x889dbaa7, 0xbbb38ce0), TOBN(0xe0404b65, 0xbddcad81),
TOBN(0xfebccd3a, 0x8bc9671f), TOBN(0xfbf9a357, 0xee1f5375),
TOBN(0x5dc169b0, 0x28f33398), TOBN(0xb07ec11d, 0x72e90f65),
TOBN(0xae7f3b4a, 0xfaab1eb1), TOBN(0xd970195e, 0x5f17538a),
TOBN(0x52b05cbe, 0x0181e640), TOBN(0xf5debd62, 0x2643313d),
TOBN(0x76148154, 0x5df31f82), TOBN(0x23e03b33, 0x3a9e13c5),
TOBN(0xff758949, 0x4fde0c1f), TOBN(0xbf8a1abe, 0xe5b6ec20),
TOBN(0x702278fb, 0x87e1db6c), TOBN(0xc447ad7a, 0x35ed658f),
TOBN(0x48d4aa38, 0x03d0ccf2), TOBN(0x80acb338, 0x819a7c03),
TOBN(0x9bc7c89e, 0x6e17cecc), TOBN(0x46736b8b, 0x03be1d82),
TOBN(0xd65d7b60, 0xc0432f96), TOBN(0xddebe7a3, 0xdeb5442f),
TOBN(0x79a25307, 0x7dff69a2), TOBN(0x37a56d94, 0x02cf3122),
TOBN(0x8bab8aed, 0xf2350d0a), TOBN(0x13c3f276, 0x037b0d9a),
TOBN(0xc664957c, 0x44c65cae), TOBN(0x88b44089, 0xc2e71a88),
TOBN(0xdb88e5a3, 0x5cb02664), TOBN(0x5d4c0bf1, 0x8686c72e),
TOBN(0xea3d9b62, 0xa682d53e), TOBN(0x9b605ef4, 0x0b2ad431),
TOBN(0x71bac202, 0xc69645d0), TOBN(0xa115f03a, 0x6a1b66e7),
TOBN(0xfe2c563a, 0x158f4dc4), TOBN(0xf715b3a0, 0x4d12a78c),
TOBN(0x8f7f0a48, 0xd413213a), TOBN(0x2035806d, 0xc04becdb),
TOBN(0xecd34a99, 0x5d8587f5), TOBN(0x4d8c3079, 0x9f6d3a71),
TOBN(0x1b2a2a67, 0x8d95a8f6), TOBN(0xc58c9d7d, 0xf2110d0d),
TOBN(0xdeee81d5, 0xcf8fba3f), TOBN(0xa42be3c0, 0x0c7cdf68),
TOBN(0x2126f742, 0xd43b5eaa), TOBN(0x054a0766, 0xdfa59b85),
TOBN(0x9d0d5e36, 0x126bfd45), TOBN(0xa1f8fbd7, 0x384f8a8f),
TOBN(0x317680f5, 0xd563fccc), TOBN(0x48ca5055, 0xf280a928),
TOBN(0xe00b81b2, 0x27b578cf), TOBN(0x10aad918, 0x2994a514),
TOBN(0xd9e07b62, 0xb7bdc953), TOBN(0x9f0f6ff2, 0x5bc086dd),
TOBN(0x09d1ccff, 0x655eee77), TOBN(0x45475f79, 0x5bef7df1),
TOBN(0x3faa28fa, 0x86f702cc), TOBN(0x92e60905, 0x0f021f07),
TOBN(0xe9e62968, 0x7f8fa8c6), TOBN(0xbd71419a, 0xf036ea2c),
TOBN(0x171ee1cc, 0x6028da9a), TOBN(0x5352fe1a, 0xc251f573),
TOBN(0xf8ff236e, 0x3fa997f4), TOBN(0xd831b6c9, 0xa5749d5f),
TOBN(0x7c872e1d, 0xe350e2c2), TOBN(0xc56240d9, 0x1e0ce403),
TOBN(0xf9deb077, 0x6974f5cb), TOBN(0x7d50ba87, 0x961c3728),
TOBN(0xd6f89426, 0x5a3a2518), TOBN(0xcf817799, 0xc6303d43),
TOBN(0x510a0471, 0x619e5696), TOBN(0xab049ff6, 0x3a5e307b),
TOBN(0xe4cdf9b0, 0xfeb13ec7), TOBN(0xd5e97117, 0x9d8ff90c),
TOBN(0xf6f64d06, 0x9afa96af), TOBN(0x00d0bf5e, 0x9d2012a2),
TOBN(0xe63f301f, 0x358bcdc0), TOBN(0x07689e99, 0x0a9d47f8),
TOBN(0x1f689e2f, 0x4f43d43a), TOBN(0x4d542a16, 0x90920904),
TOBN(0xaea293d5, 0x9ca0a707), TOBN(0xd061fe45, 0x8ac68065),
TOBN(0x1033bf1b, 0x0090008c), TOBN(0x29749558, 0xc08a6db6),
TOBN(0x74b5fc59, 0xc1d5d034), TOBN(0xf712e9f6, 0x67e215e0),
TOBN(0xfd520cbd, 0x860200e6), TOBN(0x0229acb4, 0x3ea22588),
TOBN(0x9cd1e14c, 0xfff0c82e), TOBN(0x87684b62, 0x59c69e73),
TOBN(0xda85e61c, 0x96ccb989), TOBN(0x2d5dbb02, 0xa3d06493),
TOBN(0xf22ad33a, 0xe86b173c), TOBN(0xe8e41ea5, 0xa79ff0e3),
TOBN(0x01d2d725, 0xdd0d0c10), TOBN(0x31f39088, 0x032d28f9),
TOBN(0x7b3f71e1, 0x7829839e), TOBN(0x0cf691b4, 0x4502ae58),
TOBN(0xef658dbd, 0xbefc6115), TOBN(0xa5cd6ee5, 0xb3ab5314),
TOBN(0x206c8d7b, 0x5f1d2347), TOBN(0x794645ba, 0x4cc2253a),
TOBN(0xd517d8ff, 0x58389e08), TOBN(0x4fa20dee, 0x9f847288),
TOBN(0xeba072d8, 0xd797770a), TOBN(0x7360c91d, 0xbf429e26),
TOBN(0x7200a3b3, 0x80af8279), TOBN(0x6a1c9150, 0x82dadce3),
TOBN(0x0ee6d3a7, 0xc35d8794), TOBN(0x042e6558, 0x0356bae5),
TOBN(0x9f59698d, 0x643322fd), TOBN(0x9379ae15, 0x50a61967),
TOBN(0x64b9ae62, 0xfcc9981e), TOBN(0xaed3d631, 0x6d2934c6),
TOBN(0x2454b302, 0x5e4e65eb), TOBN(0xab09f647, 0xf9950428)}
,
{TOBN(0xb2083a12, 0x22248acc), TOBN(0x1f6ec0ef, 0x3264e366),
TOBN(0x5659b704, 0x5afdee28), TOBN(0x7a823a40, 0xe6430bb5),
TOBN(0x24592a04, 0xe1900a79), TOBN(0xcde09d4a, 0xc9ee6576),
TOBN(0x52b6463f, 0x4b5ea54a), TOBN(0x1efe9ed3, 0xd3ca65a7),
TOBN(0xe27a6dbe, 0x305406dd), TOBN(0x8eb7dc7f, 0xdd5d1957),
TOBN(0xf54a6876, 0x387d4d8f), TOBN(0x9c479409, 0xc7762de4),
TOBN(0xbe4d5b5d, 0x99b30778), TOBN(0x25380c56, 0x6e793682),
TOBN(0x602d37f3, 0xdac740e3), TOBN(0x140deabe, 0x1566e4ae),
TOBN(0x4481d067, 0xafd32acf), TOBN(0xd8f0fcca, 0xe1f71ccf),
TOBN(0xd208dd0c, 0xb596f2da), TOBN(0xd049d730, 0x9aad93f9),
TOBN(0xc79f263d, 0x42ab580e), TOBN(0x09411bb1, 0x23f707b4),
TOBN(0x8cfde1ff, 0x835e0eda), TOBN(0x72707490, 0x90f03402),
TOBN(0xeaee6126, 0xc49a861e), TOBN(0x024f3b65, 0xe14f0d06),
TOBN(0x51a3f1e8, 0xc69bfc17), TOBN(0xc3c3a8e9, 0xa7686381),
TOBN(0x3400752c, 0xb103d4c8), TOBN(0x02bc4613, 0x9218b36b),
TOBN(0xc67f75eb, 0x7651504a), TOBN(0xd6848b56, 0xd02aebfa),
TOBN(0xbd9802e6, 0xc30fa92b), TOBN(0x5a70d96d, 0x9a552784),
TOBN(0x9085c4ea, 0x3f83169b), TOBN(0xfa9423bb, 0x06908228),
TOBN(0x2ffebe12, 0xfe97a5b9), TOBN(0x85da6049, 0x71b99118),
TOBN(0x9cbc2f7f, 0x63178846), TOBN(0xfd96bc70, 0x9153218e),
TOBN(0x958381db, 0x1782269b), TOBN(0xae34bf79, 0x2597e550),
TOBN(0xbb5c6064, 0x5f385153), TOBN(0x6f0e96af, 0xe3088048),
TOBN(0xbf6a0215, 0x77884456), TOBN(0xb3b5688c, 0x69310ea7),
TOBN(0x17c94295, 0x04fad2de), TOBN(0xe020f0e5, 0x17896d4d),
TOBN(0x730ba0ab, 0x0976505f), TOBN(0x567f6813, 0x095e2ec5),
TOBN(0x47062010, 0x6331ab71), TOBN(0x72cfa977, 0x41d22b9f),
TOBN(0x33e55ead, 0x8a2373da), TOBN(0xa8d0d5f4, 0x7ba45a68),
TOBN(0xba1d8f9c, 0x03029d15), TOBN(0x8f34f1cc, 0xfc55b9f3),
TOBN(0xcca4428d, 0xbbe5a1a9), TOBN(0x8187fd5f, 0x3126bd67),
TOBN(0x0036973a, 0x48105826), TOBN(0xa39b6663, 0xb8bd61a0),
TOBN(0x6d42deef, 0x2d65a808), TOBN(0x4969044f, 0x94636b19),
TOBN(0xf611ee47, 0xdd5d564c), TOBN(0x7b2f3a49, 0xd2873077),
TOBN(0x94157d45, 0x300eb294), TOBN(0x2b2a656e, 0x169c1494),
TOBN(0xc000dd76, 0xd3a47aa9), TOBN(0xa2864e4f, 0xa6243ea4),
TOBN(0x82716c47, 0xdb89842e), TOBN(0x12dfd7d7, 0x61479fb7),
TOBN(0x3b9a2c56, 0xe0b2f6dc), TOBN(0x46be862a, 0xd7f85d67),
TOBN(0x03b0d8dd, 0x0f82b214), TOBN(0x460c34f9, 0xf103cbc6),
TOBN(0xf32e5c03, 0x18d79e19), TOBN(0x8b8888ba, 0xa84117f8),
TOBN(0x8f3c37dc, 0xc0722677), TOBN(0x10d21be9, 0x1c1c0f27),
TOBN(0xd47c8468, 0xe0f7a0c6), TOBN(0x9bf02213, 0xadecc0e0),
TOBN(0x0baa7d12, 0x42b48b99), TOBN(0x1bcb665d, 0x48424096),
TOBN(0x8b847cd6, 0xebfb5cfb), TOBN(0x87c2ae56, 0x9ad4d10d),
TOBN(0xf1cbb122, 0x0de36726), TOBN(0xe7043c68, 0x3fdfbd21),
TOBN(0x4bd0826a, 0x4e79d460), TOBN(0x11f5e598, 0x4bd1a2cb),
TOBN(0x97554160, 0xb7fe7b6e), TOBN(0x7d16189a, 0x400a3fb2),
TOBN(0xd73e9bea, 0xe328ca1e), TOBN(0x0dd04b97, 0xe793d8cc),
TOBN(0xa9c83c9b, 0x506db8cc), TOBN(0x5cd47aae, 0xcf38814c),
TOBN(0x26fc430d, 0xb64b45e6), TOBN(0x079b5499, 0xd818ea84),
TOBN(0xebb01102, 0xc1c24a3b), TOBN(0xca24e568, 0x1c161c1a),
TOBN(0x103eea69, 0x36f00a4a), TOBN(0x9ad76ee8, 0x76176c7b),
TOBN(0x97451fc2, 0x538e0ff7), TOBN(0x94f89809, 0x6604b3b0),
TOBN(0x6311436e, 0x3249cfd7), TOBN(0x27b4a7bd, 0x41224f69),
TOBN(0x03b5d21a, 0xe0ac2941), TOBN(0x279b0254, 0xc2d31937),
TOBN(0x3307c052, 0xcac992d0), TOBN(0x6aa7cb92, 0xefa8b1f3),
TOBN(0x5a182580, 0x0d37c7a5), TOBN(0x13380c37, 0x342d5422),
TOBN(0x92ac2d66, 0xd5d2ef92), TOBN(0x035a70c9, 0x030c63c6),
TOBN(0xc16025dd, 0x4ce4f152), TOBN(0x1f419a71, 0xf9df7c06),
TOBN(0x6d5b2214, 0x91e4bb14), TOBN(0xfc43c6cc, 0x839fb4ce),
TOBN(0x49f06591, 0x925d6b2d), TOBN(0x4b37d9d3, 0x62186598),
TOBN(0x8c54a971, 0xd01b1629), TOBN(0xe1a9c29f, 0x51d50e05),
TOBN(0x5109b785, 0x71ba1861), TOBN(0x48b22d5c, 0xd0c8f93d),
TOBN(0xe8fa84a7, 0x8633bb93), TOBN(0x53fba6ba, 0x5aebbd08),
TOBN(0x7ff27df3, 0xe5eea7d8), TOBN(0x521c8796, 0x68ca7158),
TOBN(0xb9d5133b, 0xce6f1a05), TOBN(0x2d50cd53, 0xfd0ebee4),
TOBN(0xc82115d6, 0xc5a3ef16), TOBN(0x993eff9d, 0xba079221),
TOBN(0xe4da2c5e, 0x4b5da81c), TOBN(0x9a89dbdb, 0x8033fd85),
TOBN(0x60819ebf, 0x2b892891), TOBN(0x53902b21, 0x5d14a4d5),
TOBN(0x6ac35051, 0xd7fda421), TOBN(0xcc6ab885, 0x61c83284),
TOBN(0x14eba133, 0xf74cff17), TOBN(0x240aaa03, 0xecb813f2),
TOBN(0xcfbb6540, 0x6f665bee), TOBN(0x084b1fe4, 0xa425ad73),
TOBN(0x009d5d16, 0xd081f6a6), TOBN(0x35304fe8, 0xeef82c90),
TOBN(0xf20346d5, 0xaa9eaa22), TOBN(0x0ada9f07, 0xac1c91e3),
TOBN(0xa6e21678, 0x968a6144), TOBN(0x54c1f77c, 0x07b31a1e),
TOBN(0xd6bb787e, 0x5781fbe1), TOBN(0x61bd2ee0, 0xe31f1c4a),
TOBN(0xf25aa1e9, 0x781105fc), TOBN(0x9cf2971f, 0x7b2f8e80),
TOBN(0x26d15412, 0xcdff919b), TOBN(0x01db4ebe, 0x34bc896e),
TOBN(0x7d9b3e23, 0xb40df1cf), TOBN(0x59337373, 0x94e971b4),
TOBN(0xbf57bd14, 0x669cf921), TOBN(0x865daedf, 0x0c1a1064),
TOBN(0x3eb70bd3, 0x83279125), TOBN(0xbc3d5b9f, 0x34ecdaab),
TOBN(0x91e3ed7e, 0x5f755caf), TOBN(0x49699f54, 0xd41e6f02),
TOBN(0x185770e1, 0xd4a7a15b), TOBN(0x08f3587a, 0xeaac87e7),
TOBN(0x352018db, 0x473133ea), TOBN(0x674ce719, 0x04fd30fc),
TOBN(0x7b8d9835, 0x088b3e0e), TOBN(0x7a0356a9, 0x5d0d47a1),
TOBN(0x9d9e7659, 0x6474a3c4), TOBN(0x61ea48a7, 0xff66966c),
TOBN(0x30417758, 0x0f3e4834), TOBN(0xfdbb21c2, 0x17a9afcb),
TOBN(0x756fa17f, 0x2f9a67b3), TOBN(0x2a6b2421, 0xa245c1a8),
TOBN(0x64be2794, 0x4af02291), TOBN(0xade465c6, 0x2a5804fe),
TOBN(0x8dffbd39, 0xa6f08fd7), TOBN(0xc4efa84c, 0xaa14403b),
TOBN(0xa1b91b2a, 0x442b0f5c), TOBN(0xb748e317, 0xcf997736),
TOBN(0x8d1b62bf, 0xcee90e16), TOBN(0x907ae271, 0x0b2078c0),
TOBN(0xdf31534b, 0x0c9bcddd), TOBN(0x043fb054, 0x39adce83),
TOBN(0x99031043, 0xd826846a), TOBN(0x61a9c0d6, 0xb144f393),
TOBN(0xdab48046, 0x47718427), TOBN(0xdf17ff9b, 0x6e830f8b),
TOBN(0x408d7ee8, 0xe49a1347), TOBN(0x6ac71e23, 0x91c1d4ae),
TOBN(0xc8cbb9fd, 0x1defd73c), TOBN(0x19840657, 0xbbbbfec5),
TOBN(0x39db1cb5, 0x9e7ef8ea), TOBN(0x78aa8296, 0x64105f30),
TOBN(0xa3d9b7f0, 0xa3738c29), TOBN(0x0a2f235a, 0xbc3250a3),
TOBN(0x55e506f6, 0x445e4caf), TOBN(0x0974f73d, 0x33475f7a),
TOBN(0xd37dbba3, 0x5ba2f5a8), TOBN(0x542c6e63, 0x6af40066),
TOBN(0x26d99b53, 0xc5d73e2c), TOBN(0x06060d7d, 0x6c3ca33e),
TOBN(0xcdbef1c2, 0x065fef4a), TOBN(0x77e60f7d, 0xfd5b92e3),
TOBN(0xd7c549f0, 0x26708350), TOBN(0x201b3ad0, 0x34f121bf),
TOBN(0x5fcac2a1, 0x0334fc14), TOBN(0x8a9a9e09, 0x344552f6),
TOBN(0x7dd8a1d3, 0x97653082), TOBN(0x5fc0738f, 0x79d4f289),
TOBN(0x787d244d, 0x17d2d8c3), TOBN(0xeffc6345, 0x70830684),
TOBN(0x5ddb96dd, 0xe4f73ae5), TOBN(0x8efb14b1, 0x172549a5),
TOBN(0x6eb73eee, 0x2245ae7a), TOBN(0xbca4061e, 0xea11f13e),
TOBN(0xb577421d, 0x30b01f5d), TOBN(0xaa688b24, 0x782e152c),
TOBN(0x67608e71, 0xbd3502ba), TOBN(0x4ef41f24, 0xb4de75a0),
TOBN(0xb08dde5e, 0xfd6125e5), TOBN(0xde484825, 0xa409543f),
TOBN(0x1f198d98, 0x65cc2295), TOBN(0x428a3771, 0x6e0edfa2),
TOBN(0x4f9697a2, 0xadf35fc7), TOBN(0x01a43c79, 0xf7cac3c7),
TOBN(0xb05d7059, 0x0fd3659a), TOBN(0x8927f30c, 0xbb7f2d9a),
TOBN(0x4023d1ac, 0x8cf984d3), TOBN(0x32125ed3, 0x02897a45),
TOBN(0xfb572dad, 0x3d414205), TOBN(0x73000ef2, 0xe3fa82a9),
TOBN(0x4c0868e9, 0xf10a5581), TOBN(0x5b61fc67, 0x6b0b3ca5),
TOBN(0xc1258d5b, 0x7cae440c), TOBN(0x21c08b41, 0x402b7531),
TOBN(0xf61a8955, 0xde932321), TOBN(0x3568faf8, 0x2d1408af),
TOBN(0x71b15e99, 0x9ecf965b), TOBN(0xf14ed248, 0xe917276f),
TOBN(0xc6f4caa1, 0x820cf9e2), TOBN(0x681b20b2, 0x18d83c7e),
TOBN(0x6cde738d, 0xc6c01120), TOBN(0x71db0813, 0xae70e0db),
TOBN(0x95fc0644, 0x74afe18c), TOBN(0x34619053, 0x129e2be7),
TOBN(0x80615cea, 0xdb2a3b15), TOBN(0x0a49a19e, 0xdb4c7073),
TOBN(0x0e1b84c8, 0x8fd2d367), TOBN(0xd74bf462, 0x033fb8aa),
TOBN(0x889f6d65, 0x533ef217), TOBN(0x7158c7e4, 0xc3ca2e87),
TOBN(0xfb670dfb, 0xdc2b4167), TOBN(0x75910a01, 0x844c257f),
TOBN(0xf336bf07, 0xcf88577d), TOBN(0x22245250, 0xe45e2ace),
TOBN(0x2ed92e8d, 0x7ca23d85), TOBN(0x29f8be4c, 0x2b812f58),
TOBN(0xdd9ebaa7, 0x076fe12b), TOBN(0x3f2400cb, 0xae1537f9),
TOBN(0x1aa93528, 0x17bdfb46), TOBN(0xc0f98430, 0x67883b41),
TOBN(0x5590ede1, 0x0170911d), TOBN(0x7562f5bb, 0x34d4b17f),
TOBN(0xe1fa1df2, 0x1826b8d2), TOBN(0xb40b796a, 0x6bd80d59),
TOBN(0xd65bf197, 0x3467ba92), TOBN(0x8c9b46db, 0xf70954b0),
TOBN(0x97c8a0f3, 0x0e78f15d), TOBN(0xa8f3a69a, 0x85a4c961),
TOBN(0x4242660f, 0x61e4ce9b), TOBN(0xbf06aab3, 0x6ea6790c),
TOBN(0xc6706f8e, 0xec986416), TOBN(0x9e56dec1, 0x9a9fc225),
TOBN(0x527c46f4, 0x9a9898d9), TOBN(0xd799e77b, 0x5633cdef),
TOBN(0x24eacc16, 0x7d9e4297), TOBN(0xabb61cea, 0x6b1cb734),
TOBN(0xbee2e8a7, 0xf778443c), TOBN(0x3bb42bf1, 0x29de2fe6),
TOBN(0xcbed86a1, 0x3003bb6f), TOBN(0xd3918e6c, 0xd781cdf6),
TOBN(0x4bee3271, 0x9a5103f1), TOBN(0x5243efc6, 0xf50eac06),
TOBN(0xb8e122cb, 0x6adcc119), TOBN(0x1b7faa84, 0xc0b80a08),
TOBN(0x32c3d1bd, 0x6dfcd08c), TOBN(0x129dec4e, 0x0be427de),
TOBN(0x98ab679c, 0x1d263c83), TOBN(0xafc83cb7, 0xcef64eff),
TOBN(0x85eb6088, 0x2fa6be76), TOBN(0x892585fb, 0x1328cbfe),
TOBN(0xc154d3ed, 0xcf618dda), TOBN(0xc44f601b, 0x3abaf26e),
TOBN(0x7bf57d0b, 0x2be1fdfd), TOBN(0xa833bd2d, 0x21137fee),
TOBN(0x9353af36, 0x2db591a8), TOBN(0xc76f26dc, 0x5562a056),
TOBN(0x1d87e47d, 0x3fdf5a51), TOBN(0x7afb5f93, 0x55c9cab0),
TOBN(0x91bbf58f, 0x89e0586e), TOBN(0x7c72c018, 0x0d843709),
TOBN(0xa9a5aafb, 0x99b5c3dc), TOBN(0xa48a0f1d, 0x3844aeb0),
TOBN(0x7178b7dd, 0xb667e482), TOBN(0x453985e9, 0x6e23a59a),
TOBN(0x4a54c860, 0x01b25dd8), TOBN(0x0dd37f48, 0xfb897c8a),
TOBN(0x5f8aa610, 0x0ea90cd9), TOBN(0xc8892c68, 0x16d5830d),
TOBN(0xeb4befc0, 0xef514ca5), TOBN(0x478eb679, 0xe72c9ee6),
TOBN(0x9bca20da, 0xdbc40d5f), TOBN(0xf015de21, 0xdde4f64a),
TOBN(0xaa6a4de0, 0xeaf4b8a5), TOBN(0x68cfd9ca, 0x4bc60e32),
TOBN(0x668a4b01, 0x7fd15e70), TOBN(0xd9f0694a, 0xf27dc09d),
TOBN(0xf6c3cad5, 0xba708bcd), TOBN(0x5cd2ba69, 0x5bb95c2a),
TOBN(0xaa28c1d3, 0x33c0a58f), TOBN(0x23e274e3, 0xabc77870),
TOBN(0x44c3692d, 0xdfd20a4a), TOBN(0x091c5fd3, 0x81a66653),
TOBN(0x6c0bb691, 0x09a0757d), TOBN(0x9072e8b9, 0x667343ea),
TOBN(0x31d40eb0, 0x80848bec), TOBN(0x95bd480a, 0x79fd36cc),
TOBN(0x01a77c61, 0x65ed43f5), TOBN(0xafccd127, 0x2e0d40bf),
TOBN(0xeccfc82d, 0x1cc1884b), TOBN(0xc85ac201, 0x5d4753b4),
TOBN(0xc7a6caac, 0x658e099f), TOBN(0xcf46369e, 0x04b27390),
TOBN(0xe2e7d049, 0x506467ea), TOBN(0x481b63a2, 0x37cdeccc),
TOBN(0x4029abd8, 0xed80143a), TOBN(0x28bfe3c7, 0xbcb00b88),
TOBN(0x3bec1009, 0x0643d84a), TOBN(0x885f3668, 0xabd11041),
TOBN(0xdb02432c, 0xf83a34d6), TOBN(0x32f7b360, 0x719ceebe),
TOBN(0xf06c7837, 0xdad1fe7a), TOBN(0x60a157a9, 0x5441a0b0),
TOBN(0x704970e9, 0xe2d47550), TOBN(0xcd2bd553, 0x271b9020),
TOBN(0xff57f82f, 0x33e24a0b), TOBN(0x9cbee23f, 0xf2565079),
TOBN(0x16353427, 0xeb5f5825), TOBN(0x276feec4, 0xe948d662),
TOBN(0xd1b62bc6, 0xda10032b), TOBN(0x718351dd, 0xf0e72a53),
TOBN(0x93452076, 0x2420e7ba), TOBN(0x96368fff, 0x3a00118d),
TOBN(0x00ce2d26, 0x150a49e4), TOBN(0x0c28b636, 0x3f04706b),
TOBN(0xbad65a46, 0x58b196d0), TOBN(0x6c8455fc, 0xec9f8b7c),
TOBN(0xe90c895f, 0x2d71867e), TOBN(0x5c0be31b, 0xedf9f38c),
TOBN(0x2a37a15e, 0xd8f6ec04), TOBN(0x239639e7, 0x8cd85251),
TOBN(0xd8975315, 0x9c7c4c6b), TOBN(0x603aa3c0, 0xd7409af7),
TOBN(0xb8d53d0c, 0x007132fb), TOBN(0x68d12af7, 0xa6849238),
TOBN(0xbe0607e7, 0xbf5d9279), TOBN(0x9aa50055, 0xaada74ce),
TOBN(0xe81079cb, 0xba7e8ccb), TOBN(0x610c71d1, 0xa5f4ff5e),
TOBN(0x9e2ee1a7, 0x5aa07093), TOBN(0xca84004b, 0xa75da47c),
TOBN(0x074d3951, 0x3de75401), TOBN(0xf938f756, 0xbb311592),
TOBN(0x96197618, 0x00a43421), TOBN(0x39a25362, 0x07bc78c8),
TOBN(0x278f710a, 0x0a171276), TOBN(0xb28446ea, 0x8d1a8f08),
TOBN(0x184781bf, 0xe3b6a661), TOBN(0x7751cb1d, 0xe6d279f7),
TOBN(0xf8ff95d6, 0xc59eb662), TOBN(0x186d90b7, 0x58d3dea7),
TOBN(0x0e4bb6c1, 0xdfb4f754), TOBN(0x5c5cf56b, 0x2b2801dc),
TOBN(0xc561e452, 0x1f54564d), TOBN(0xb4fb8c60, 0xf0dd7f13),
TOBN(0xf8849630, 0x33ff98c7), TOBN(0x9619fffa, 0xcf17769c),
TOBN(0xf8090bf6, 0x1bfdd80a), TOBN(0x14d9a149, 0x422cfe63),
TOBN(0xb354c360, 0x6f6df9ea), TOBN(0xdbcf770d, 0x218f17ea),
TOBN(0x207db7c8, 0x79eb3480), TOBN(0x213dbda8, 0x559b6a26),
TOBN(0xac4c200b, 0x29fc81b3), TOBN(0xebc3e09f, 0x171d87c1),
TOBN(0x91799530, 0x1481aa9e), TOBN(0x051b92e1, 0x92e114fa),
TOBN(0xdf8f92e9, 0xecb5537f), TOBN(0x44b1b2cc, 0x290c7483),
TOBN(0xa711455a, 0x2adeb016), TOBN(0x964b6856, 0x81a10c2c),
TOBN(0x4f159d99, 0xcec03623), TOBN(0x05532225, 0xef3271ea),
TOBN(0xb231bea3, 0xc5ee4849), TOBN(0x57a54f50, 0x7094f103),
TOBN(0x3e2d421d, 0x9598b352), TOBN(0xe865a49c, 0x67412ab4),
TOBN(0xd2998a25, 0x1cc3a912), TOBN(0x5d092808, 0x0c74d65d),
TOBN(0x73f45908, 0x4088567a), TOBN(0xeb6b280e, 0x1f214a61),
TOBN(0x8c9adc34, 0xcaf0c13d), TOBN(0x39d12938, 0xf561fb80),
TOBN(0xb2dc3a5e, 0xbc6edfb4), TOBN(0x7485b1b1, 0xfe4d210e),
TOBN(0x062e0400, 0xe186ae72), TOBN(0x91e32d5c, 0x6eeb3b88),
TOBN(0x6df574d7, 0x4be59224), TOBN(0xebc88ccc, 0x716d55f3),
TOBN(0x26c2e6d0, 0xcad6ed33), TOBN(0xc6e21e7d, 0x0d3e8b10),
TOBN(0x2cc5840e, 0x5bcc36bb), TOBN(0x9292445e, 0x7da74f69),
TOBN(0x8be8d321, 0x4e5193a8), TOBN(0x3ec23629, 0x8df06413),
TOBN(0xc7e9ae85, 0xb134defa), TOBN(0x6073b1d0, 0x1bb2d475),
TOBN(0xb9ad615e, 0x2863c00d), TOBN(0x9e29493d, 0x525f4ac4),
TOBN(0xc32b1dea, 0x4e9acf4f), TOBN(0x3e1f01c8, 0xa50db88d),
TOBN(0xb05d70ea, 0x04da916c), TOBN(0x714b0d0a, 0xd865803e),
TOBN(0x4bd493fc, 0x9920cb5e), TOBN(0x5b44b1f7, 0x92c7a3ac),
TOBN(0xa2a77293, 0xbcec9235), TOBN(0x5ee06e87, 0xcd378553),
TOBN(0xceff8173, 0xda621607), TOBN(0x2bb03e4c, 0x99f5d290),
TOBN(0x2945106a, 0xa6f734ac), TOBN(0xb5056604, 0xd25c4732),
TOBN(0x5945920c, 0xe079afee), TOBN(0x686e17a0, 0x6789831f),
TOBN(0x5966bee8, 0xb74a5ae5), TOBN(0x38a673a2, 0x1e258d46),
TOBN(0xbd1cc1f2, 0x83141c95), TOBN(0x3b2ecf4f, 0x0e96e486),
TOBN(0xcd3aa896, 0x74e5fc78), TOBN(0x415ec10c, 0x2482fa7a),
TOBN(0x15234419, 0x80503380), TOBN(0x513d917a, 0xd314b392),
TOBN(0xb0b52f4e, 0x63caecae), TOBN(0x07bf22ad, 0x2dc7780b),
TOBN(0xe761e8a1, 0xe4306839), TOBN(0x1b3be962, 0x5dd7feaa),
TOBN(0x4fe728de, 0x74c778f1), TOBN(0xf1fa0bda, 0x5e0070f6),
TOBN(0x85205a31, 0x6ec3f510), TOBN(0x2c7e4a14, 0xd2980475),
TOBN(0xde3c19c0, 0x6f30ebfd), TOBN(0xdb1c1f38, 0xd4b7e644),
TOBN(0xfe291a75, 0x5dce364a), TOBN(0xb7b22a3c, 0x058f5be3),
TOBN(0x2cd2c302, 0x37fea38c), TOBN(0x2930967a, 0x2e17be17),
TOBN(0x87f009de, 0x0c061c65), TOBN(0xcb014aac, 0xedc6ed44),
TOBN(0x49bd1cb4, 0x3bafb1eb), TOBN(0x81bd8b5c, 0x282d3688),
TOBN(0x1cdab87e, 0xf01a17af), TOBN(0x21f37ac4, 0xe710063b),
TOBN(0x5a6c5676, 0x42fc8193), TOBN(0xf4753e70, 0x56a6015c),
TOBN(0x020f795e, 0xa15b0a44), TOBN(0x8f37c8d7, 0x8958a958),
TOBN(0x63b7e89b, 0xa4b675b5), TOBN(0xb4fb0c0c, 0x0fc31aea),
TOBN(0xed95e639, 0xa7ff1f2e), TOBN(0x9880f5a3, 0x619614fb),
TOBN(0xdeb6ff02, 0x947151ab), TOBN(0x5bc5118c, 0xa868dcdb),
TOBN(0xd8da2055, 0x4c20cea5), TOBN(0xcac2776e, 0x14c4d69a),
TOBN(0xcccb22c1, 0x622d599b), TOBN(0xa4ddb653, 0x68a9bb50),
TOBN(0x2c4ff151, 0x1b4941b4), TOBN(0xe1ff19b4, 0x6efba588),
TOBN(0x35034363, 0xc48345e0), TOBN(0x45542e3d, 0x1e29dfc4),
TOBN(0xf197cb91, 0x349f7aed), TOBN(0x3b2b5a00, 0x8fca8420),
TOBN(0x7c175ee8, 0x23aaf6d8), TOBN(0x54dcf421, 0x35af32b6),
TOBN(0x0ba14307, 0x27d6561e), TOBN(0x879d5ee4, 0xd175b1e2),
TOBN(0xc7c43673, 0x99807db5), TOBN(0x77a54455, 0x9cd55bcd),
TOBN(0xe6c2ff13, 0x0105c072), TOBN(0x18f7a99f, 0x8dda7da4),
TOBN(0x4c301820, 0x0e2d35c1), TOBN(0x06a53ca0, 0xd9cc6c82),
TOBN(0xaa21cc1e, 0xf1aa1d9e), TOBN(0x32414334, 0x4a75b1e8),
TOBN(0x2a6d1328, 0x0ebe9fdc), TOBN(0x16bd173f, 0x98a4755a),
TOBN(0xfbb9b245, 0x2133ffd9), TOBN(0x39a8b2f1, 0x830f1a20),
TOBN(0x484bc97d, 0xd5a1f52a), TOBN(0xd6aebf56, 0xa40eddf8),
TOBN(0x32257acb, 0x76ccdac6), TOBN(0xaf4d36ec, 0x1586ff27),
TOBN(0x8eaa8863, 0xf8de7dd1), TOBN(0x0045d5cf, 0x88647c16)}
,
{TOBN(0xa6f3d574, 0xc005979d), TOBN(0xc2072b42, 0x6a40e350),
TOBN(0xfca5c156, 0x8de2ecf9), TOBN(0xa8c8bf5b, 0xa515344e),
TOBN(0x97aee555, 0x114df14a), TOBN(0xd4374a4d, 0xfdc5ec6b),
TOBN(0x754cc28f, 0x2ca85418), TOBN(0x71cb9e27, 0xd3c41f78),
TOBN(0x89105079, 0x03605c39), TOBN(0xf0843d9e, 0xa142c96c),
TOBN(0xf3744934, 0x16923684), TOBN(0x732caa2f, 0xfa0a2893),
TOBN(0xb2e8c270, 0x61160170), TOBN(0xc32788cc, 0x437fbaa3),
TOBN(0x39cd818e, 0xa6eda3ac), TOBN(0xe2e94239, 0x9e2b2e07),
TOBN(0x6967d39b, 0x0260e52a), TOBN(0xd42585cc, 0x90653325),
TOBN(0x0d9bd605, 0x21ca7954), TOBN(0x4fa20877, 0x81ed57b3),
TOBN(0x60c1eff8, 0xe34a0bbe), TOBN(0x56b0040c, 0x84f6ef64),
TOBN(0x28be2b24, 0xb1af8483), TOBN(0xb2278163, 0xf5531614),
TOBN(0x8df27545, 0x5922ac1c), TOBN(0xa7b3ef5c, 0xa52b3f63),
TOBN(0x8e77b214, 0x71de57c4), TOBN(0x31682c10, 0x834c008b),
TOBN(0xc76824f0, 0x4bd55d31), TOBN(0xb6d1c086, 0x17b61c71),
TOBN(0x31db0903, 0xc2a5089d), TOBN(0x9c092172, 0x184e5d3f),
TOBN(0xdd7ced5b, 0xc00cc638), TOBN(0x1a2015eb, 0x61278fc2),
TOBN(0x2e8e5288, 0x6a37f8d6), TOBN(0xc457786f, 0xe79933ad),
TOBN(0xb3fe4cce, 0x2c51211a), TOBN(0xad9b10b2, 0x24c20498),
TOBN(0x90d87a4f, 0xd28db5e5), TOBN(0x698cd105, 0x3aca2fc3),
TOBN(0x4f112d07, 0xe91b536d), TOBN(0xceb982f2, 0x9eba09d6),
TOBN(0x3c157b2c, 0x197c396f), TOBN(0xe23c2d41, 0x7b66eb24),
TOBN(0x480c57d9, 0x3f330d37), TOBN(0xb3a4c8a1, 0x79108deb),
TOBN(0x702388de, 0xcb199ce5), TOBN(0x0b019211, 0xb944a8d4),
TOBN(0x24f2a692, 0x840bb336), TOBN(0x7c353bdc, 0xa669fa7b),
TOBN(0xda20d6fc, 0xdec9c300), TOBN(0x625fbe2f, 0xa13a4f17),
TOBN(0xa2b1b61a, 0xdbc17328), TOBN(0x008965bf, 0xa9515621),
TOBN(0x49690939, 0xc620ff46), TOBN(0x182dd27d, 0x8717e91c),
TOBN(0x5ace5035, 0xea6c3997), TOBN(0x54259aaa, 0xc2610bef),
TOBN(0xef18bb3f, 0x3c80dd39), TOBN(0x6910b95b, 0x5fc3fa39),
TOBN(0xfce2f510, 0x43e09aee), TOBN(0xced56c9f, 0xa7675665),
TOBN(0x10e265ac, 0xd872db61), TOBN(0x6982812e, 0xae9fce69),
TOBN(0x29be11c6, 0xce800998), TOBN(0x72bb1752, 0xb90360d9),
TOBN(0x2c193197, 0x5a4ad590), TOBN(0x2ba2f548, 0x9fc1dbc0),
TOBN(0x7fe4eebb, 0xe490ebe0), TOBN(0x12a0a4cd, 0x7fae11c0),
TOBN(0x7197cf81, 0xe903ba37), TOBN(0xcf7d4aa8, 0xde1c6dd8),
TOBN(0x92af6bf4, 0x3fd5684c), TOBN(0x2b26eecf, 0x80360aa1),
TOBN(0xbd960f30, 0x00546a82), TOBN(0x407b3c43, 0xf59ad8fe),
TOBN(0x86cae5fe, 0x249c82ba), TOBN(0x9e0faec7, 0x2463744c),
TOBN(0x87f551e8, 0x94916272), TOBN(0x033f9344, 0x6ceb0615),
TOBN(0x1e5eb0d1, 0x8be82e84), TOBN(0x89967f0e, 0x7a582fef),
TOBN(0xbcf687d5, 0xa6e921fa), TOBN(0xdfee4cf3, 0xd37a09ba),
TOBN(0x94f06965, 0xb493c465), TOBN(0x638b9a1c, 0x7635c030),
TOBN(0x76667864, 0x66f05e9f), TOBN(0xccaf6808, 0xc04da725),
TOBN(0xca2eb690, 0x768fccfc), TOBN(0xf402d37d, 0xb835b362),
TOBN(0x0efac0d0, 0xe2fdfcce), TOBN(0xefc9cdef, 0xb638d990),
TOBN(0x2af12b72, 0xd1669a8b), TOBN(0x33c536bc, 0x5774ccbd),
TOBN(0x30b21909, 0xfb34870e), TOBN(0xc38fa2f7, 0x7df25aca),
TOBN(0x74c5f02b, 0xbf81f3f5), TOBN(0x0525a5ae, 0xaf7e4581),
TOBN(0x88d2aaba, 0x433c54ae), TOBN(0xed9775db, 0x806a56c5),
TOBN(0xd320738a, 0xc0edb37d), TOBN(0x25fdb6ee, 0x66cc1f51),
TOBN(0xac661d17, 0x10600d76), TOBN(0x931ec1f3, 0xbdd1ed76),
TOBN(0x65c11d62, 0x19ee43f1), TOBN(0x5cd57c3e, 0x60829d97),
TOBN(0xd26c91a3, 0x984be6e8), TOBN(0xf08d9309, 0x8b0c53bd),
TOBN(0x94bc9e5b, 0xc016e4ea), TOBN(0xd3916839, 0x11d43d2b),
TOBN(0x886c5ad7, 0x73701155), TOBN(0xe0377626, 0x20b00715),
TOBN(0x7f01c9ec, 0xaa80ba59), TOBN(0x3083411a, 0x68538e51),
TOBN(0x970370f1, 0xe88128af), TOBN(0x625cc3db, 0x91dec14b),
TOBN(0xfef9666c, 0x01ac3107), TOBN(0xb2a8d577, 0xd5057ac3),
TOBN(0xb0f26299, 0x92be5df7), TOBN(0xf579c8e5, 0x00353924),
TOBN(0xb8fa3d93, 0x1341ed7a), TOBN(0x4223272c, 0xa7b59d49),
TOBN(0x3dcb1947, 0x83b8c4a4), TOBN(0x4e413c01, 0xed1302e4),
TOBN(0x6d999127, 0xe17e44ce), TOBN(0xee86bf75, 0x33b3adfb),
TOBN(0xf6902fe6, 0x25aa96ca), TOBN(0xb73540e4, 0xe5aae47d),
TOBN(0x32801d7b, 0x1b4a158c), TOBN(0xe571c99e, 0x27e2a369),
TOBN(0x40cb76c0, 0x10d9f197), TOBN(0xc308c289, 0x3167c0ae),
TOBN(0xa6ef9dd3, 0xeb7958f2), TOBN(0xa7226dfc, 0x300879b1),
TOBN(0x6cd0b362, 0x7edf0636), TOBN(0x4efbce6c, 0x7bc37eed),
TOBN(0x75f92a05, 0x8d699021), TOBN(0x586d4c79, 0x772566e3),
TOBN(0x378ca5f1, 0x761ad23a), TOBN(0x650d86fc, 0x1465a8ac),
TOBN(0x7a4ed457, 0x842ba251), TOBN(0x6b65e3e6, 0x42234933),
TOBN(0xaf1543b7, 0x31aad657), TOBN(0xa4cefe98, 0xcbfec369),
TOBN(0xb587da90, 0x9f47befb), TOBN(0x6562e9fb, 0x41312d13),
TOBN(0xa691ea59, 0xeff1cefe), TOBN(0xcc30477a, 0x05fc4cf6),
TOBN(0xa1632461, 0x0b0ffd3d), TOBN(0xa1f16f3b, 0x5b355956),
TOBN(0x5b148d53, 0x4224ec24), TOBN(0xdc834e7b, 0xf977012a),
TOBN(0x7bfc5e75, 0xb2c69dbc), TOBN(0x3aa77a29, 0x03c3da6c),
TOBN(0xde0df03c, 0xca910271), TOBN(0xcbd5ca4a, 0x7806dc55),
TOBN(0xe1ca5807, 0x6db476cb), TOBN(0xfde15d62, 0x5f37a31e),
TOBN(0xf49af520, 0xf41af416), TOBN(0x96c5c5b1, 0x7d342db5),
TOBN(0x155c43b7, 0xeb4ceb9b), TOBN(0x2e993010, 0x4e77371a),
TOBN(0x1d2987da, 0x675d43af), TOBN(0xef2bc1c0, 0x8599fd72),
TOBN(0x96894b7b, 0x9342f6b2), TOBN(0x201eadf2, 0x7c8e71f0),
TOBN(0xf3479d9f, 0x4a1f3efc), TOBN(0xe0f8a742, 0x702a9704),
TOBN(0xeafd44b6, 0xb3eba40c), TOBN(0xf9739f29, 0xc1c1e0d0),
TOBN(0x0091471a, 0x619d505e), TOBN(0xc15f9c96, 0x9d7c263e),
TOBN(0x5be47285, 0x83afbe33), TOBN(0xa3b6d6af, 0x04f1e092),
TOBN(0xe76526b9, 0x751a9d11), TOBN(0x2ec5b26d, 0x9a4ae4d2),
TOBN(0xeb66f4d9, 0x02f6fb8d), TOBN(0x4063c561, 0x96912164),
TOBN(0xeb7050c1, 0x80ef3000), TOBN(0x288d1c33, 0xeaa5b3f0),
TOBN(0xe87c68d6, 0x07806fd8), TOBN(0xb2f7f9d5, 0x4bbbf50f),
TOBN(0x25972f3a, 0xac8d6627), TOBN(0xf8547774, 0x10e8c13b),
TOBN(0xcc50ef6c, 0x872b4a60), TOBN(0xab2a34a4, 0x4613521b),
TOBN(0x39c5c190, 0x983e15d1), TOBN(0x61dde5df, 0x59905512),
TOBN(0xe417f621, 0x9f2275f3), TOBN(0x0750c8b6, 0x451d894b),
TOBN(0x75b04ab9, 0x78b0bdaa), TOBN(0x3bfd9fd4, 0x458589bd),
TOBN(0xf1013e30, 0xee9120b6), TOBN(0x2b51af93, 0x23a4743e),
TOBN(0xea96ffae, 0x48d14d9e), TOBN(0x71dc0dbe, 0x698a1d32),
TOBN(0x914962d2, 0x0180cca4), TOBN(0x1ae60677, 0xc3568963),
TOBN(0x8cf227b1, 0x437bc444), TOBN(0xc650c83b, 0xc9962c7a),
TOBN(0x23c2c7dd, 0xfe7ccfc4), TOBN(0xf925c89d, 0x1b929d48),
TOBN(0x4460f74b, 0x06783c33), TOBN(0xac2c8d49, 0xa590475a),
TOBN(0xfb40b407, 0xb807bba0), TOBN(0x9d1e362d, 0x69ff8f3a),
TOBN(0xa33e9681, 0xcbef64a4), TOBN(0x67ece5fa, 0x332fb4b2),
TOBN(0x6900a99b, 0x739f10e3), TOBN(0xc3341ca9, 0xff525925),
TOBN(0xee18a626, 0xa9e2d041), TOBN(0xa5a83685, 0x29580ddd),
TOBN(0xf3470c81, 0x9d7de3cd), TOBN(0xedf02586, 0x2062cf9c),
TOBN(0xf43522fa, 0xc010edb0), TOBN(0x30314135, 0x13a4b1ae),
TOBN(0xc792e02a, 0xdb22b94b), TOBN(0x993d8ae9, 0xa1eaa45b),
TOBN(0x8aad6cd3, 0xcd1e1c63), TOBN(0x89529ca7, 0xc5ce688a),
TOBN(0x2ccee3aa, 0xe572a253), TOBN(0xe02b6438, 0x02a21efb),
TOBN(0xa7091b6e, 0xc9430358), TOBN(0x06d1b1fa, 0x9d7db504),
TOBN(0x58846d32, 0xc4744733), TOBN(0x40517c71, 0x379f9e34),
TOBN(0x2f65655f, 0x130ef6ca), TOBN(0x526e4488, 0xf1f3503f),
TOBN(0x8467bd17, 0x7ee4a976), TOBN(0x1d9dc913, 0x921363d1),
TOBN(0xd8d24c33, 0xb069e041), TOBN(0x5eb5da0a, 0x2cdf7f51),
TOBN(0x1c0f3cb1, 0x197b994f), TOBN(0x3c95a6c5, 0x2843eae9),
TOBN(0x7766ffc9, 0xa6097ea5), TOBN(0x7bea4093, 0xd723b867),
TOBN(0xb48e1f73, 0x4db378f9), TOBN(0x70025b00, 0xe37b77ac),
TOBN(0x943dc8e7, 0xaf24ad46), TOBN(0xb98a15ac, 0x16d00a85),
TOBN(0x3adc38ba, 0x2743b004), TOBN(0xb1c7f4f7, 0x334415ee),
TOBN(0xea43df8f, 0x1e62d05a), TOBN(0x32618905, 0x9d76a3b6),
TOBN(0x2fbd0bb5, 0xa23a0f46), TOBN(0x5bc971db, 0x6a01918c),
TOBN(0x7801d94a, 0xb4743f94), TOBN(0xb94df65e, 0x676ae22b),
TOBN(0xaafcbfab, 0xaf95894c), TOBN(0x7b9bdc07, 0x276b2241),
TOBN(0xeaf98362, 0x5bdda48b), TOBN(0x5977faf2, 0xa3fcb4df),
TOBN(0xbed042ef, 0x052c4b5b), TOBN(0x9fe87f71, 0x067591f0),
TOBN(0xc89c73ca, 0x22f24ec7), TOBN(0x7d37fa9e, 0xe64a9f1b),
TOBN(0x2710841a, 0x15562627), TOBN(0x2c01a613, 0xc243b034),
TOBN(0x1d135c56, 0x2bc68609), TOBN(0xc2ca1715, 0x8b03f1f6),
TOBN(0xc9966c2d, 0x3eb81d82), TOBN(0xc02abf4a, 0x8f6df13e),
TOBN(0x77b34bd7, 0x8f72b43b), TOBN(0xaff6218f, 0x360c82b0),
TOBN(0x0aa5726c, 0x8d55b9d2), TOBN(0xdc0adbe9, 0x99e9bffb),
TOBN(0x9097549c, 0xefb9e72a), TOBN(0x16755712, 0x9dfb3111),
TOBN(0xdd8bf984, 0xf26847f9), TOBN(0xbcb8e387, 0xdfb30cb7),
TOBN(0xc1fd32a7, 0x5171ef9c), TOBN(0x977f3fc7, 0x389b363f),
TOBN(0x116eaf2b, 0xf4babda0), TOBN(0xfeab68bd, 0xf7113c8e),
TOBN(0xd1e3f064, 0xb7def526), TOBN(0x1ac30885, 0xe0b3fa02),
TOBN(0x1c5a6e7b, 0x40142d9d), TOBN(0x839b5603, 0x30921c0b),
TOBN(0x48f301fa, 0x36a116a3), TOBN(0x380e1107, 0xcfd9ee6d),
TOBN(0x7945ead8, 0x58854be1), TOBN(0x4111c12e, 0xcbd4d49d),
TOBN(0xece3b1ec, 0x3a29c2ef), TOBN(0x6356d404, 0x8d3616f5),
TOBN(0x9f0d6a8f, 0x594d320e), TOBN(0x0989316d, 0xf651ccd2),
TOBN(0x6c32117a, 0x0f8fdde4), TOBN(0x9abe5cc5, 0xa26a9bbc),
TOBN(0xcff560fb, 0x9723f671), TOBN(0x21b2a12d, 0x7f3d593c),
TOBN(0xe4cb18da, 0x24ba0696), TOBN(0x186e2220, 0xc3543384),
TOBN(0x722f64e0, 0x88312c29), TOBN(0x94282a99, 0x17dc7752),
TOBN(0x62467bbf, 0x5a85ee89), TOBN(0xf435c650, 0xf10076a0),
TOBN(0xc9ff1539, 0x43b3a50b), TOBN(0x7132130c, 0x1a53efbc),
TOBN(0x31bfe063, 0xf7b0c5b7), TOBN(0xb0179a7d, 0x4ea994cc),
TOBN(0x12d064b3, 0xc85f455b), TOBN(0x47259328, 0x8f6e0062),
TOBN(0xf64e590b, 0xb875d6d9), TOBN(0x22dd6225, 0xad92bcc7),
TOBN(0xb658038e, 0xb9c3bd6d), TOBN(0x00cdb0d6, 0xfbba27c8),
TOBN(0x0c681337, 0x1062c45d), TOBN(0xd8515b8c, 0x2d33407d),
TOBN(0xcb8f699e, 0x8cbb5ecf), TOBN(0x8c4347f8, 0xc608d7d8),
TOBN(0x2c11850a, 0xbb3e00db), TOBN(0x20a8dafd, 0xecb49d19),
TOBN(0xbd781480, 0x45ee2f40), TOBN(0x75e354af, 0x416b60cf),
TOBN(0xde0b58a1, 0x8d49a8c4), TOBN(0xe40e94e2, 0xfa359536),
TOBN(0xbd4fa59f, 0x62accd76), TOBN(0x05cf466a, 0x8c762837),
TOBN(0xb5abda99, 0x448c277b), TOBN(0x5a9e01bf, 0x48b13740),
TOBN(0x9d457798, 0x326aad8d), TOBN(0xbdef4954, 0xc396f7e7),
TOBN(0x6fb274a2, 0xc253e292), TOBN(0x2800bf0a, 0x1cfe53e7),
TOBN(0x22426d31, 0x44438fd4), TOBN(0xef233923, 0x5e259f9a),
TOBN(0x4188503c, 0x03f66264), TOBN(0x9e5e7f13, 0x7f9fdfab),
TOBN(0x565eb76c, 0x5fcc1aba), TOBN(0xea632548, 0x59b5bff8),
TOBN(0x5587c087, 0xaab6d3fa), TOBN(0x92b639ea, 0x6ce39c1b),
TOBN(0x0706e782, 0x953b135c), TOBN(0x7308912e, 0x425268ef),
TOBN(0x599e92c7, 0x090e7469), TOBN(0x83b90f52, 0x9bc35e75),
TOBN(0x4750b3d0, 0x244975b3), TOBN(0xf3a44358, 0x11965d72),
TOBN(0x179c6774, 0x9c8dc751), TOBN(0xff18cdfe, 0xd23d9ff0),
TOBN(0xc4013833, 0x2028e247), TOBN(0x96e280e2, 0xf3bfbc79),
TOBN(0xf60417bd, 0xd0880a84), TOBN(0x263c9f3d, 0x2a568151),
TOBN(0x36be15b3, 0x2d2ce811), TOBN(0x846dc0c2, 0xf8291d21),
TOBN(0x5cfa0ecb, 0x789fcfdb), TOBN(0x45a0beed, 0xd7535b9a),
TOBN(0xec8e9f07, 0x96d69af1), TOBN(0x31a7c5b8, 0x599ab6dc),
TOBN(0xd36d45ef, 0xf9e2e09f), TOBN(0x3cf49ef1, 0xdcee954b),
TOBN(0x6be34cf3, 0x086cff9b), TOBN(0x88dbd491, 0x39a3360f),
TOBN(0x1e96b8cc, 0x0dbfbd1d), TOBN(0xc1e5f7bf, 0xcb7e2552),
TOBN(0x0547b214, 0x28819d98), TOBN(0xc770dd9c, 0x7aea9dcb),
TOBN(0xaef0d4c7, 0x041d68c8), TOBN(0xcc2b9818, 0x13cb9ba8),
TOBN(0x7fc7bc76, 0xfe86c607), TOBN(0x6b7b9337, 0x502a9a95),
TOBN(0x1948dc27, 0xd14dab63), TOBN(0x249dd198, 0xdae047be),
TOBN(0xe8356584, 0xa981a202), TOBN(0x3531dd18, 0x3a893387),
TOBN(0x1be11f90, 0xc85c7209), TOBN(0x93d2fe1e, 0xe2a52b5a),
TOBN(0x8225bfe2, 0xec6d6b97), TOBN(0x9cf6d6f4, 0xbd0aa5de),
TOBN(0x911459cb, 0x54779f5f), TOBN(0x5649cddb, 0x86aeb1f3),
TOBN(0x32133579, 0x3f26ce5a), TOBN(0xc289a102, 0x550f431e),
TOBN(0x559dcfda, 0x73b84c6f), TOBN(0x84973819, 0xee3ac4d7),
TOBN(0xb51e55e6, 0xf2606a82), TOBN(0xe25f7061, 0x90f2fb57),
TOBN(0xacef6c2a, 0xb1a4e37c), TOBN(0x864e359d, 0x5dcf2706),
TOBN(0x479e6b18, 0x7ce57316), TOBN(0x2cab2500, 0x3a96b23d),
TOBN(0xed489862, 0x8ef16df7), TOBN(0x2056538c, 0xef3758b5),
TOBN(0xa7df865e, 0xf15d3101), TOBN(0x80c5533a, 0x61b553d7),
TOBN(0x366e1997, 0x4ed14294), TOBN(0x6620741f, 0xb3c0bcd6),
TOBN(0x21d1d9c4, 0xedc45418), TOBN(0x005b859e, 0xc1cc4a9d),
TOBN(0xdf01f630, 0xa1c462f0), TOBN(0x15d06cf3, 0xf26820c7),
TOBN(0x9f7f24ee, 0x3484be47), TOBN(0x2ff33e96, 0x4a0c902f),
TOBN(0x00bdf457, 0x5a0bc453), TOBN(0x2378dfaf, 0x1aa238db),
TOBN(0x272420ec, 0x856720f2), TOBN(0x2ad9d95b, 0x96797291),
TOBN(0xd1242cc6, 0x768a1558), TOBN(0x2e287f8b, 0x5cc86aa8),
TOBN(0x796873d0, 0x990cecaa), TOBN(0xade55f81, 0x675d4080),
TOBN(0x2645eea3, 0x21f0cd84), TOBN(0x7a1efa0f, 0xb4e17d02),
TOBN(0xf6858420, 0x037cc061), TOBN(0x682e05f0, 0xd5d43e12),
TOBN(0x59c36994, 0x27218710), TOBN(0x85cbba4d, 0x3f7cd2fc),
TOBN(0x726f9729, 0x7a3cd22a), TOBN(0x9f8cd5dc, 0x4a628397),
TOBN(0x17b93ab9, 0xc23165ed), TOBN(0xff5f5dbf, 0x122823d4),
TOBN(0xc1e4e4b5, 0x654a446d), TOBN(0xd1a9496f, 0x677257ba),
TOBN(0x6387ba94, 0xde766a56), TOBN(0x23608bc8, 0x521ec74a),
TOBN(0x16a522d7, 0x6688c4d4), TOBN(0x9d6b4282, 0x07373abd),
TOBN(0xa62f07ac, 0xb42efaa3), TOBN(0xf73e00f7, 0xe3b90180),
TOBN(0x36175fec, 0x49421c3e), TOBN(0xc4e44f9b, 0x3dcf2678),
TOBN(0x76df436b, 0x7220f09f), TOBN(0x172755fb, 0x3aa8b6cf),
TOBN(0xbab89d57, 0x446139cc), TOBN(0x0a0a6e02, 0x5fe0208f),
TOBN(0xcdbb63e2, 0x11e5d399), TOBN(0x33ecaa12, 0xa8977f0b),
TOBN(0x59598b21, 0xf7c42664), TOBN(0xb3e91b32, 0xab65d08a),
TOBN(0x035822ee, 0xf4502526), TOBN(0x1dcf0176, 0x720a82a9),
TOBN(0x50f8598f, 0x3d589e02), TOBN(0xdf0478ff, 0xb1d63d2c),
TOBN(0x8b8068bd, 0x1571cd07), TOBN(0x30c3aa4f, 0xd79670cd),
TOBN(0x25e8fd4b, 0x941ade7f), TOBN(0x3d1debdc, 0x32790011),
TOBN(0x65b6dcbd, 0x3a3f9ff0), TOBN(0x282736a4, 0x793de69c),
TOBN(0xef69a0c3, 0xd41d3bd3), TOBN(0xb533b8c9, 0x07a26bde),
TOBN(0xe2801d97, 0xdb2edf9f), TOBN(0xdc4a8269, 0xe1877af0),
TOBN(0x6c1c5851, 0x3d590dbe), TOBN(0x84632f6b, 0xee4e9357),
TOBN(0xd36d36b7, 0x79b33374), TOBN(0xb46833e3, 0x9bbca2e6),
TOBN(0x37893913, 0xf7fc0586), TOBN(0x385315f7, 0x66bf4719),
TOBN(0x72c56293, 0xb31855dc), TOBN(0xd1416d4e, 0x849061fe),
TOBN(0xbeb3ab78, 0x51047213), TOBN(0x447f6e61, 0xf040c996),
TOBN(0xd06d310d, 0x638b1d0c), TOBN(0xe28a413f, 0xbad1522e),
TOBN(0x685a76cb, 0x82003f86), TOBN(0x610d07f7, 0x0bcdbca3),
TOBN(0x6ff66021, 0x9ca4c455), TOBN(0x7df39b87, 0xcea10eec),
TOBN(0xb9255f96, 0xe22db218), TOBN(0x8cc6d9eb, 0x08a34c44),
TOBN(0xcd4ffb86, 0x859f9276), TOBN(0x8fa15eb2, 0x50d07335),
TOBN(0xdf553845, 0xcf2c24b5), TOBN(0x89f66a9f, 0x52f9c3ba),
TOBN(0x8f22b5b9, 0xe4a7ceb3), TOBN(0xaffef809, 0x0e134686),
TOBN(0x3e53e1c6, 0x8eb8fac2), TOBN(0x93c1e4eb, 0x28aec98e),
TOBN(0xb6b91ec5, 0x32a43bcb), TOBN(0x2dbfa947, 0xb2d74a51),
TOBN(0xe065d190, 0xca84bad7), TOBN(0xfb13919f, 0xad58e65c),
TOBN(0x3c41718b, 0xf1cb6e31), TOBN(0x688969f0, 0x06d05c3f),
TOBN(0xd4f94ce7, 0x21264d45), TOBN(0xfdfb65e9, 0x7367532b),
TOBN(0x5b1be8b1, 0x0945a39d), TOBN(0x229f789c, 0x2b8baf3b),
TOBN(0xd8f41f3e, 0x6f49f15d), TOBN(0x678ce828, 0x907f0792),
TOBN(0xc69ace82, 0xfca6e867), TOBN(0x106451ae, 0xd01dcc89),
TOBN(0x1bb4f7f0, 0x19fc32d2), TOBN(0x64633dfc, 0xb00c52d2),
TOBN(0x8f13549a, 0xad9ea445), TOBN(0x99a3bf50, 0xfb323705),
TOBN(0x0c9625a2, 0x534d4dbc), TOBN(0x45b8f1d1, 0xc2a2fea3),
TOBN(0x76ec21a1, 0xa530fc1a), TOBN(0x4bac9c2a, 0x9e5bd734),
TOBN(0x5996d76a, 0x7b4e3587), TOBN(0x0045cdee, 0x1182d9e3),
TOBN(0x1aee24b9, 0x1207f13d), TOBN(0x66452e97, 0x97345a41),
TOBN(0x16e5b054, 0x9f950cd0), TOBN(0x9cc72fb1, 0xd7fdd075),
TOBN(0x6edd61e7, 0x66249663), TOBN(0xde4caa4d, 0xf043cccb),
TOBN(0x11b1f57a, 0x55c7ac17), TOBN(0x779cbd44, 0x1a85e24d),
TOBN(0x78030f86, 0xe46081e7), TOBN(0xfd4a6032, 0x8e20f643),
TOBN(0xcc7a6488, 0x0a750c0f), TOBN(0x39bacfe3, 0x4e548e83),
TOBN(0x3d418c76, 0x0c110f05), TOBN(0x3e4daa4c, 0xb1f11588),
TOBN(0x2733e7b5, 0x5ffc69ff), TOBN(0x46f147bc, 0x92053127),
TOBN(0x885b2434, 0xd722df94), TOBN(0x6a444f65, 0xe6fc6b7c)}
,
{TOBN(0x7a1a465a, 0xc3f16ea8), TOBN(0x115a461d, 0xb2f1d11c),
TOBN(0x4767dd95, 0x6c68a172), TOBN(0x3392f2eb, 0xd13a4698),
TOBN(0xc7a99ccd, 0xe526cdc7), TOBN(0x8e537fdc, 0x22292b81),
TOBN(0x76d8cf69, 0xa6d39198), TOBN(0xffc5ff43, 0x2446852d),
TOBN(0x97b14f7e, 0xa90567e6), TOBN(0x513257b7, 0xb6ae5cb7),
TOBN(0x85454a3c, 0x9f10903d), TOBN(0xd8d2c9ad, 0x69bc3724),
TOBN(0x38da9324, 0x6b29cb44), TOBN(0xb540a21d, 0x77c8cbac),
TOBN(0x9bbfe435, 0x01918e42), TOBN(0xfffa707a, 0x56c3614e),
TOBN(0x0ce4e3f1, 0xd4e353b7), TOBN(0x062d8a14, 0xef46b0a0),
TOBN(0x6408d5ab, 0x574b73fd), TOBN(0xbc41d1c9, 0xd3273ffd),
TOBN(0x3538e1e7, 0x6be77800), TOBN(0x71fe8b37, 0xc5655031),
TOBN(0x1cd91621, 0x6b9b331a), TOBN(0xad825d0b, 0xbb388f73),
TOBN(0x56c2e05b, 0x1cb76219), TOBN(0x0ec0bf91, 0x71567e7e),
TOBN(0xe7076f86, 0x61c4c910), TOBN(0xd67b085b, 0xbabc04d9),
TOBN(0x9fb90459, 0x5e93a96a), TOBN(0x7526c1ea, 0xfbdc249a),
TOBN(0x0d44d367, 0xecdd0bb7), TOBN(0x95399917, 0x9dc0d695),
TOBN(0x61360ee9, 0x9e240d18), TOBN(0x057cdcac, 0xb4b94466),
TOBN(0xe7667cd1, 0x2fe5325c), TOBN(0x1fa297b5, 0x21974e3b),
TOBN(0xfa4081e7, 0xdb083d76), TOBN(0x31993be6, 0xf206bd15),
TOBN(0x8949269b, 0x14c19f8c), TOBN(0x21468d72, 0xa9d92357),
TOBN(0x2ccbc583, 0xa4c506ec), TOBN(0x957ed188, 0xd1acfe97),
TOBN(0x8baed833, 0x12f1aea2), TOBN(0xef2a6cb4, 0x8325362d),
TOBN(0x130dde42, 0x8e195c43), TOBN(0xc842025a, 0x0e6050c6),
TOBN(0x2da972a7, 0x08686a5d), TOBN(0xb52999a1, 0xe508b4a8),
TOBN(0xd9f090b9, 0x10a5a8bd), TOBN(0xca91d249, 0x096864da),
TOBN(0x8e6a93be, 0x3f67dbc1), TOBN(0xacae6fba, 0xf5f4764c),
TOBN(0x1563c6e0, 0xd21411a0), TOBN(0x28fa787f, 0xda0a4ad8),
TOBN(0xd524491c, 0x908c8030), TOBN(0x1257ba0e, 0x4c795f07),
TOBN(0x83f49167, 0xceca9754), TOBN(0x426d2cf6, 0x4b7939a0),
TOBN(0x2555e355, 0x723fd0bf), TOBN(0xa96e6d06, 0xc4f144e2),
TOBN(0x4768a8dd, 0x87880e61), TOBN(0x15543815, 0xe508e4d5),
TOBN(0x09d7e772, 0xb1b65e15), TOBN(0x63439dd6, 0xac302fa0),
TOBN(0xb93f802f, 0xc14e35c2), TOBN(0x71735b7c, 0x4341333c),
TOBN(0x03a25104, 0x16d4f362), TOBN(0x3f4d069b, 0xbf433c8e),
TOBN(0x0d83ae01, 0xf78f5a7c), TOBN(0x50a8ffbe, 0x7c4eed07),
TOBN(0xc74f8906, 0x76e10f83), TOBN(0x7d080966, 0x9ddaf8e1),
TOBN(0xb11df8e1, 0x698e04cc), TOBN(0x877be203, 0x169005c8),
TOBN(0x32749e8c, 0x4f3c6179), TOBN(0x2dbc9d0a, 0x7853fc05),
TOBN(0x187d4f93, 0x9454d937), TOBN(0xe682ce9d, 0xb4800e1b),
TOBN(0xa9129ad8, 0x165e68e8), TOBN(0x0fe29735, 0xbe7f785b),
TOBN(0x5303f40c, 0x5b9e02b7), TOBN(0xa37c9692, 0x35ee04e8),
TOBN(0x5f46cc20, 0x34d6632b), TOBN(0x55ef72b2, 0x96ac545b),
TOBN(0xabec5c1f, 0x7b91b062), TOBN(0x0a79e1c7, 0xbb33e821),
TOBN(0xbb04b428, 0x3a9f4117), TOBN(0x0de1f28f, 0xfd2a475a),
TOBN(0x31019ccf, 0x3a4434b4), TOBN(0xa3458111, 0x1a7954dc),
TOBN(0xa9dac80d, 0xe34972a7), TOBN(0xb043d054, 0x74f6b8dd),
TOBN(0x021c319e, 0x11137b1a), TOBN(0x00a754ce, 0xed5cc03f),
TOBN(0x0aa2c794, 0xcbea5ad4), TOBN(0x093e67f4, 0x70c015b6),
TOBN(0x72cdfee9, 0xc97e3f6b), TOBN(0xc10bcab4, 0xb6da7461),
TOBN(0x3b02d2fc, 0xb59806b9), TOBN(0x85185e89, 0xa1de6f47),
TOBN(0x39e6931f, 0x0eb6c4d4), TOBN(0x4d4440bd, 0xd4fa5b04),
TOBN(0x5418786e, 0x34be7eb8), TOBN(0x6380e521, 0x9d7259bc),
TOBN(0x20ac0351, 0xd598d710), TOBN(0x272c4166, 0xcb3a4da4),
TOBN(0xdb82fe1a, 0xca71de1f), TOBN(0x746e79f2, 0xd8f54b0f),
TOBN(0x6e7fc736, 0x4b573e9b), TOBN(0x75d03f46, 0xfd4b5040),
TOBN(0x5c1cc36d, 0x0b98d87b), TOBN(0x513ba3f1, 0x1f472da1),
TOBN(0x79d0af26, 0xabb177dd), TOBN(0xf82ab568, 0x7891d564),
TOBN(0x2b6768a9, 0x72232173), TOBN(0xefbb3bb0, 0x8c1f6619),
TOBN(0xb29c11db, 0xa6d18358), TOBN(0x519e2797, 0xb0916d3a),
TOBN(0xd4dc18f0, 0x9188e290), TOBN(0x648e86e3, 0x98b0ca7f),
TOBN(0x859d3145, 0x983c38b5), TOBN(0xb14f176c, 0x637abc8b),
TOBN(0x2793fb9d, 0xcaff7be6), TOBN(0xebe5a55f, 0x35a66a5a),
TOBN(0x7cec1dcd, 0x9f87dc59), TOBN(0x7c595cd3, 0xfbdbf560),
TOBN(0x5b543b22, 0x26eb3257), TOBN(0x69080646, 0xc4c935fd),
TOBN(0x7f2e4403, 0x81e9ede3), TOBN(0x243c3894, 0xcaf6df0a),
TOBN(0x7c605bb1, 0x1c073b11), TOBN(0xcd06a541, 0xba6a4a62),
TOBN(0x29168949, 0x49d4e2e5), TOBN(0x33649d07, 0x4af66880),
TOBN(0xbfc0c885, 0xe9a85035), TOBN(0xb4e52113, 0xfc410f4b),
TOBN(0xdca3b706, 0x78a6513b), TOBN(0x92ea4a2a, 0x9edb1943),
TOBN(0x02642216, 0xdb6e2dd8), TOBN(0x9b45d0b4, 0x9fd57894),
TOBN(0x114e70db, 0xc69d11ae), TOBN(0x1477dd19, 0x4c57595f),
TOBN(0xbc2208b4, 0xec77c272), TOBN(0x95c5b4d7, 0xdb68f59c),
TOBN(0xb8c4fc63, 0x42e532b7), TOBN(0x386ba422, 0x9ae35290),
TOBN(0xfb5dda42, 0xd201ecbc), TOBN(0x2353dc8b, 0xa0e38fd6),
TOBN(0x9a0b85ea, 0x68f7e978), TOBN(0x96ec5682, 0x2ad6d11f),
TOBN(0x5e279d6c, 0xe5f6886d), TOBN(0xd3fe03cd, 0x3cb1914d),
TOBN(0xfe541fa4, 0x7ea67c77), TOBN(0x952bd2af, 0xe3ea810c),
TOBN(0x791fef56, 0x8d01d374), TOBN(0xa3a1c621, 0x0f11336e),
TOBN(0x5ad0d5a9, 0xc7ec6d79), TOBN(0xff7038af, 0x3225c342),
TOBN(0x003c6689, 0xbc69601b), TOBN(0x25059bc7, 0x45e8747d),
TOBN(0xfa4965b2, 0xf2086fbf), TOBN(0xf6840ea6, 0x86916078),
TOBN(0xd7ac7620, 0x70081d6c), TOBN(0xe600da31, 0xb5328645),
TOBN(0x01916f63, 0x529b8a80), TOBN(0xe80e4858, 0x2d7d6f3e),
TOBN(0x29eb0fe8, 0xd664ca7c), TOBN(0xf017637b, 0xe7b43b0c),
TOBN(0x9a75c806, 0x76cb2566), TOBN(0x8f76acb1, 0xb24892d9),
TOBN(0x7ae7b9cc, 0x1f08fe45), TOBN(0x19ef7329, 0x6a4907d8),
TOBN(0x2db4ab71, 0x5f228bf0), TOBN(0xf3cdea39, 0x817032d7),
TOBN(0x0b1f482e, 0xdcabe3c0), TOBN(0x3baf76b4, 0xbb86325c),
TOBN(0xd49065e0, 0x10089465), TOBN(0x3bab5d29, 0x8e77c596),
TOBN(0x7636c3a6, 0x193dbd95), TOBN(0xdef5d294, 0xb246e499),
TOBN(0xb22c58b9, 0x286b2475), TOBN(0xa0b93939, 0xcd80862b),
TOBN(0x3002c83a, 0xf0992388), TOBN(0x6de01f9b, 0xeacbe14c),
TOBN(0x6aac688e, 0xadd70482), TOBN(0x708de92a, 0x7b4a4e8a),
TOBN(0x75b6dd73, 0x758a6eef), TOBN(0xea4bf352, 0x725b3c43),
TOBN(0x10041f2c, 0x87912868), TOBN(0xb1b1be95, 0xef09297a),
TOBN(0x19ae23c5, 0xa9f3860a), TOBN(0xc4f0f839, 0x515dcf4b),
TOBN(0x3c7ecca3, 0x97f6306a), TOBN(0x744c44ae, 0x68a3a4b0),
TOBN(0x69cd13a0, 0xb3a1d8a2), TOBN(0x7cad0a1e, 0x5256b578),
TOBN(0xea653fcd, 0x33791d9e), TOBN(0x9cc2a05d, 0x74b2e05f),
TOBN(0x73b391dc, 0xfd7affa2), TOBN(0xddb7091e, 0xb6b05442),
TOBN(0xc71e27bf, 0x8538a5c6), TOBN(0x195c63dd, 0x89abff17),
TOBN(0xfd315285, 0x1b71e3da), TOBN(0x9cbdfda7, 0xfa680fa0),
TOBN(0x9db876ca, 0x849d7eab), TOBN(0xebe2764b, 0x3c273271),
TOBN(0x663357e3, 0xf208dcea), TOBN(0x8c5bd833, 0x565b1b70),
TOBN(0xccc3b4f5, 0x9837fc0d), TOBN(0x9b641ba8, 0xa79cf00f),
TOBN(0x7428243d, 0xdfdf3990), TOBN(0x83a594c4, 0x020786b1),
TOBN(0xb712451a, 0x526c4502), TOBN(0x9d39438e, 0x6adb3f93),
TOBN(0xfdb261e3, 0xe9ff0ccd), TOBN(0x80344e3c, 0xe07af4c3),
TOBN(0x75900d7c, 0x2fa4f126), TOBN(0x08a3b865, 0x5c99a232),
TOBN(0x2478b6bf, 0xdb25e0c3), TOBN(0x482cc2c2, 0x71db2edf),
TOBN(0x37df7e64, 0x5f321bb8), TOBN(0x8a93821b, 0x9a8005b4),
TOBN(0x3fa2f10c, 0xcc8c1958), TOBN(0x0d332218, 0x2c269d0a),
TOBN(0x20ab8119, 0xe246b0e6), TOBN(0xb39781e4, 0xd349fd17),
TOBN(0xd293231e, 0xb31aa100), TOBN(0x4b779c97, 0xbb032168),
TOBN(0x4b3f19e1, 0xc8470500), TOBN(0x45b7efe9, 0x0c4c869d),
TOBN(0xdb84f38a, 0xa1a6bbcc), TOBN(0x3b59cb15, 0xb2fddbc1),
TOBN(0xba5514df, 0x3fd165e8), TOBN(0x499fd6a9, 0x061f8811),
TOBN(0x72cd1fe0, 0xbfef9f00), TOBN(0x120a4bb9, 0x79ad7e8a),
TOBN(0xf2ffd095, 0x5f4a5ac5), TOBN(0xcfd174f1, 0x95a7a2f0),
TOBN(0xd42301ba, 0x9d17baf1), TOBN(0xd2fa487a, 0x77f22089),
TOBN(0x9cb09efe, 0xb1dc77e1), TOBN(0xe9566939, 0x21c99682),
TOBN(0x8c546901, 0x6c6067bb), TOBN(0xfd378574, 0x61c24456),
TOBN(0x2b6a6cbe, 0x81796b33), TOBN(0x62d550f6, 0x58e87f8b),
TOBN(0x1b763e1c, 0x7f1b01b4), TOBN(0x4b93cfea, 0x1b1b5e12),
TOBN(0xb9345238, 0x1d531696), TOBN(0x57201c00, 0x88cdde69),
TOBN(0xdde92251, 0x9a86afc7), TOBN(0xe3043895, 0xbd35cea8),
TOBN(0x7608c1e1, 0x8555970d), TOBN(0x8267dfa9, 0x2535935e),
TOBN(0xd4c60a57, 0x322ea38b), TOBN(0xe0bf7977, 0x804ef8b5),
TOBN(0x1a0dab28, 0xc06fece4), TOBN(0xd405991e, 0x94e7b49d),
TOBN(0xc542b6d2, 0x706dab28), TOBN(0xcb228da3, 0xa91618fb),
TOBN(0x224e4164, 0x107d1cea), TOBN(0xeb9fdab3, 0xd0f5d8f1),
TOBN(0xc02ba386, 0x0d6e41cd), TOBN(0x676a72c5, 0x9b1f7146),
TOBN(0xffd6dd98, 0x4d6cb00b), TOBN(0xcef9c5ca, 0xde2e8d7c),
TOBN(0xa1bbf5d7, 0x641c7936), TOBN(0x1b95b230, 0xee8f772e),
TOBN(0xf765a92e, 0xe8ac25b1), TOBN(0xceb04cfc, 0x3a18b7c6),
TOBN(0x27944cef, 0x0acc8966), TOBN(0xcbb3c957, 0x434c1004),
TOBN(0x9c9971a1, 0xa43ff93c), TOBN(0x5bc2db17, 0xa1e358a9),
TOBN(0x45b4862e, 0xa8d9bc82), TOBN(0x70ebfbfb, 0x2201e052),
TOBN(0xafdf64c7, 0x92871591), TOBN(0xea5bcae6, 0xb42d0219),
TOBN(0xde536c55, 0x2ad8f03c), TOBN(0xcd6c3f4d, 0xa76aa33c),
TOBN(0xbeb5f623, 0x0bca6de3), TOBN(0xdd20dd99, 0xb1e706fd),
TOBN(0x90b3ff9d, 0xac9059d4), TOBN(0x2d7b2902, 0x7ccccc4e),
TOBN(0x8a090a59, 0xce98840f), TOBN(0xa5d947e0, 0x8410680a),
TOBN(0x49ae346a, 0x923379a5), TOBN(0x7dbc84f9, 0xb28a3156),
TOBN(0xfd40d916, 0x54a1aff2), TOBN(0xabf318ba, 0x3a78fb9b),
TOBN(0x50152ed8, 0x3029f95e), TOBN(0x9fc1dd77, 0xc58ad7fa),
TOBN(0x5fa57915, 0x13595c17), TOBN(0xb9504668, 0x8f62b3a9),
TOBN(0x907b5b24, 0xff3055b0), TOBN(0x2e995e35, 0x9a84f125),
TOBN(0x87dacf69, 0x7e9bbcfb), TOBN(0x95d0c1d6, 0xe86d96e3),
TOBN(0x65726e3c, 0x2d95a75c), TOBN(0x2c3c9001, 0xacd27f21),
TOBN(0x1deab561, 0x6c973f57), TOBN(0x108b7e2c, 0xa5221643),
TOBN(0x5fee9859, 0xc4ef79d4), TOBN(0xbd62b88a, 0x40d4b8c6),
TOBN(0xb4dd29c4, 0x197c75d6), TOBN(0x266a6df2, 0xb7076feb),
TOBN(0x9512d0ea, 0x4bf2df11), TOBN(0x1320c24f, 0x6b0cc9ec),
TOBN(0x6bb1e0e1, 0x01a59596), TOBN(0x8317c5bb, 0xeff9aaac),
TOBN(0x65bb405e, 0x385aa6c9), TOBN(0x613439c1, 0x8f07988f),
TOBN(0xd730049f, 0x16a66e91), TOBN(0xe97f2820, 0xfa1b0e0d),
TOBN(0x4131e003, 0x304c28ea), TOBN(0x820ab732, 0x526bac62),
TOBN(0xb2ac9ef9, 0x28714423), TOBN(0x54ecfffa, 0xadb10cb2),
TOBN(0x8781476e, 0xf886a4cc), TOBN(0x4b2c87b5, 0xdb2f8d49),
TOBN(0xe857cd20, 0x0a44295d), TOBN(0x707d7d21, 0x58c6b044),
TOBN(0xae8521f9, 0xf596757c), TOBN(0x87448f03, 0x67b2b714),
TOBN(0x13a9bc45, 0x5ebcd58d), TOBN(0x79bcced9, 0x9122d3c1),
TOBN(0x3c644247, 0x9e076642), TOBN(0x0cf22778, 0x2df4767d),
TOBN(0x5e61aee4, 0x71d444b6), TOBN(0x211236bf, 0xc5084a1d),
TOBN(0x7e15bc9a, 0x4fd3eaf6), TOBN(0x68df2c34, 0xab622bf5),
TOBN(0x9e674f0f, 0x59bf4f36), TOBN(0xf883669b, 0xd7f34d73),
TOBN(0xc48ac1b8, 0x31497b1d), TOBN(0x323b925d, 0x5106703b),
TOBN(0x22156f42, 0x74082008), TOBN(0xeffc521a, 0xc8482bcb),
TOBN(0x5c6831bf, 0x12173479), TOBN(0xcaa2528f, 0xc4739490),
TOBN(0x84d2102a, 0x8f1b3c4d), TOBN(0xcf64dfc1, 0x2d9bec0d),
TOBN(0x433febad, 0x78a546ef), TOBN(0x1f621ec3, 0x7b73cef1),
TOBN(0x6aecd627, 0x37338615), TOBN(0x162082ab, 0x01d8edf6),
TOBN(0x833a8119, 0x19e86b66), TOBN(0x6023a251, 0xd299b5db),
TOBN(0xf5bb0c3a, 0xbbf04b89), TOBN(0x6735eb69, 0xae749a44),
TOBN(0xd0e058c5, 0x4713de3b), TOBN(0xfdf2593e, 0x2c3d4ccd),
TOBN(0x1b8f414e, 0xfdd23667), TOBN(0xdd52aaca, 0xfa2015ee),
TOBN(0x3e31b517, 0xbd9625ff), TOBN(0x5ec9322d, 0x8db5918c),
TOBN(0xbc73ac85, 0xa96f5294), TOBN(0x82aa5bf3, 0x61a0666a),
TOBN(0x49755810, 0xbf08ac42), TOBN(0xd21cdfd5, 0x891cedfc),
TOBN(0x918cb57b, 0x67f8be10), TOBN(0x365d1a7c, 0x56ffa726),
TOBN(0x2435c504, 0x6532de93), TOBN(0xc0fc5e10, 0x2674cd02),
TOBN(0x6e51fcf8, 0x9cbbb142), TOBN(0x1d436e5a, 0xafc50692),
TOBN(0x766bffff, 0x3fbcae22), TOBN(0x3148c2fd, 0xfd55d3b8),
TOBN(0x52c7fdc9, 0x233222fa), TOBN(0x89ff1092, 0xe419fb6b),
TOBN(0x3cd6db99, 0x25254977), TOBN(0x2e85a161, 0x1cf12ca7),
TOBN(0xadd2547c, 0xdc810bc9), TOBN(0xea3f458f, 0x9d257c22),
TOBN(0x642c1fbe, 0x27d6b19b), TOBN(0xed07e6b5, 0x140481a6),
TOBN(0x6ada1d42, 0x86d2e0f8), TOBN(0xe5920122, 0x0e8a9fd5),
TOBN(0x02c936af, 0x708c1b49), TOBN(0x60f30fee, 0x2b4bfaff),
TOBN(0x6637ad06, 0x858e6a61), TOBN(0xce4c7767, 0x3fd374d0),
TOBN(0x39d54b2d, 0x7188defb), TOBN(0xa8c9d250, 0xf56a6b66),
TOBN(0x58fc0f5e, 0xb24fe1dc), TOBN(0x9eaf9dee, 0x6b73f24c),
TOBN(0xa90d588b, 0x33650705), TOBN(0xde5b62c5, 0xaf2ec729),
TOBN(0x5c72cfae, 0xd3c2b36e), TOBN(0x868c19d5, 0x034435da),
TOBN(0x88605f93, 0xe17ee145), TOBN(0xaa60c4ee, 0x77a5d5b1),
TOBN(0xbcf5bfd2, 0x3b60c472), TOBN(0xaf4ef13c, 0xeb1d3049),
TOBN(0x373f44fc, 0xe13895c9), TOBN(0xf29b382f, 0x0cbc9822),
TOBN(0x1bfcb853, 0x73efaef6), TOBN(0xcf56ac9c, 0xa8c96f40),
TOBN(0xd7adf109, 0x7a191e24), TOBN(0x98035f44, 0xbf8a8dc2),
TOBN(0xf40a71b9, 0x1e750c84), TOBN(0xc57f7b0c, 0x5dc6c469),
TOBN(0x49a0e79c, 0x6fbc19c1), TOBN(0x6b0f5889, 0xa48ebdb8),
TOBN(0x5d3fd084, 0xa07c4e9f), TOBN(0xc3830111, 0xab27de14),
TOBN(0x0e4929fe, 0x33e08dcc), TOBN(0xf4a5ad24, 0x40bb73a3),
TOBN(0xde86c2bf, 0x490f97ca), TOBN(0x288f09c6, 0x67a1ce18),
TOBN(0x364bb886, 0x1844478d), TOBN(0x7840fa42, 0xceedb040),
TOBN(0x1269fdd2, 0x5a631b37), TOBN(0x94761f1e, 0xa47c8b7d),
TOBN(0xfc0c2e17, 0x481c6266), TOBN(0x85e16ea2, 0x3daa5fa7),
TOBN(0xccd86033, 0x92491048), TOBN(0x0c2f6963, 0xf4d402d7),
TOBN(0x6336f7df, 0xdf6a865c), TOBN(0x0a2a463c, 0xb5c02a87),
TOBN(0xb0e29be7, 0xbf2f12ee), TOBN(0xf0a22002, 0x66bad988),
TOBN(0x27f87e03, 0x9123c1d7), TOBN(0x21669c55, 0x328a8c98),
TOBN(0x186b9803, 0x92f14529), TOBN(0xd3d056cc, 0x63954df3),
TOBN(0x2f03fd58, 0x175a46f6), TOBN(0x63e34ebe, 0x11558558),
TOBN(0xe13fedee, 0x5b80cfa5), TOBN(0xe872a120, 0xd401dbd1),
TOBN(0x52657616, 0xe8a9d667), TOBN(0xbc8da4b6, 0xe08d6693),
TOBN(0x370fb9bb, 0x1b703e75), TOBN(0x6773b186, 0xd4338363),
TOBN(0x18dad378, 0xecef7bff), TOBN(0xaac787ed, 0x995677da),
TOBN(0x4801ea8b, 0x0437164b), TOBN(0xf430ad20, 0x73fe795e),
TOBN(0xb164154d, 0x8ee5eb73), TOBN(0x0884ecd8, 0x108f7c0e),
TOBN(0x0e6ec096, 0x5f520698), TOBN(0x640631fe, 0x44f7b8d9),
TOBN(0x92fd34fc, 0xa35a68b9), TOBN(0x9c5a4b66, 0x4d40cf4e),
TOBN(0x949454bf, 0x80b6783d), TOBN(0x80e701fe, 0x3a320a10),
TOBN(0x8d1a564a, 0x1a0a39b2), TOBN(0x1436d53d, 0x320587db),
TOBN(0xf5096e6d, 0x6556c362), TOBN(0xbc23a3c0, 0xe2455d7e),
TOBN(0x3a7aee54, 0x807230f9), TOBN(0x9ba1cfa6, 0x22ae82fd),
TOBN(0x833a057a, 0x99c5d706), TOBN(0x8be85f4b, 0x842315c9),
TOBN(0xd083179a, 0x66a72f12), TOBN(0x2fc77d5d, 0xcdcc73cd),
TOBN(0x22b88a80, 0x5616ee30), TOBN(0xfb09548f, 0xe7ab1083),
TOBN(0x8ad6ab0d, 0x511270cd), TOBN(0x61f6c57a, 0x6924d9ab),
TOBN(0xa0f7bf72, 0x90aecb08), TOBN(0x849f87c9, 0x0df784a4),
TOBN(0x27c79c15, 0xcfaf1d03), TOBN(0xbbf9f675, 0xc463face),
TOBN(0x91502c65, 0x765ba543), TOBN(0x18ce3cac, 0x42ea60dd),
TOBN(0xe5cee6ac, 0x6e43ecb3), TOBN(0x63e4e910, 0x68f2aeeb),
TOBN(0x26234fa3, 0xc85932ee), TOBN(0x96883e8b, 0x4c90c44d),
TOBN(0x29b9e738, 0xa18a50f6), TOBN(0xbfc62b2a, 0x3f0420df),
TOBN(0xd22a7d90, 0x6d3e1fa9), TOBN(0x17115618, 0xfe05b8a3),
TOBN(0x2a0c9926, 0xbb2b9c01), TOBN(0xc739fcc6, 0xe07e76a2),
TOBN(0x540e9157, 0x165e439a), TOBN(0x06353a62, 0x6a9063d8),
TOBN(0x84d95594, 0x61e927a3), TOBN(0x013b9b26, 0xe2e0be7f),
TOBN(0x4feaec3b, 0x973497f1), TOBN(0x15c0f94e, 0x093ebc2d),
TOBN(0x6af5f227, 0x33af0583), TOBN(0x0c2af206, 0xc61f3340),
TOBN(0xd25dbdf1, 0x4457397c), TOBN(0x2e8ed017, 0xcabcbae0),
TOBN(0xe3010938, 0xc2815306), TOBN(0xbaa99337, 0xe8c6cd68),
TOBN(0x08513182, 0x3b0ec7de), TOBN(0x1e1b822b, 0x58df05df),
TOBN(0x5c14842f, 0xa5c3b683), TOBN(0x98fe977e, 0x3eba34ce),
TOBN(0xfd2316c2, 0x0d5e8873), TOBN(0xe48d839a, 0xbd0d427d),
TOBN(0x495b2218, 0x623fc961), TOBN(0x24ee56e7, 0xb46fba5e),
TOBN(0x9184a55b, 0x91e4de58), TOBN(0xa7488ca5, 0xdfdea288),
TOBN(0xa723862e, 0xa8dcc943), TOBN(0x92d762b2, 0x849dc0fc),
TOBN(0x3c444a12, 0x091ff4a9), TOBN(0x581113fa, 0x0cada274),
TOBN(0xb9de0a45, 0x30d8eae2), TOBN(0x5e0fcd85, 0xdf6b41ea),
TOBN(0x6233ea68, 0xc094dbb5), TOBN(0xb77d062e, 0xd968d410),
TOBN(0x3e719bbc, 0x58b3002d), TOBN(0x68e7dd3d, 0x3dc49d58),
TOBN(0x8d825740, 0x013a5e58), TOBN(0x21311747, 0x3c9e3c1b),
TOBN(0x0cb0a2a7, 0x7c99b6ab), TOBN(0x5c48a3b3, 0xc2f888f2)}
,
{TOBN(0xc7913e91, 0x991724f3), TOBN(0x5eda799c, 0x39cbd686),
TOBN(0xddb595c7, 0x63d4fc1e), TOBN(0x6b63b80b, 0xac4fed54),
TOBN(0x6ea0fc69, 0x7e5fb516), TOBN(0x737708ba, 0xd0f1c964),
TOBN(0x9628745f, 0x11a92ca5), TOBN(0x61f37958, 0x9a86967a),
TOBN(0x9af39b2c, 0xaa665072), TOBN(0x78322fa4, 0xefd324ef),
TOBN(0x3d153394, 0xc327bd31), TOBN(0x81d5f271, 0x3129dab0),
TOBN(0xc72e0c42, 0xf48027f5), TOBN(0xaa40cdbc, 0x8536e717),
TOBN(0xf45a657a, 0x2d369d0f), TOBN(0xb03bbfc4, 0xea7f74e6),
TOBN(0x46a8c418, 0x0d738ded), TOBN(0x6f1a5bb0, 0xe0de5729),
TOBN(0xf10230b9, 0x8ba81675), TOBN(0x32c6f30c, 0x112b33d4),
TOBN(0x7559129d, 0xd8fffb62), TOBN(0x6a281b47, 0xb459bf05),
TOBN(0x77c1bd3a, 0xfa3b6776), TOBN(0x0709b380, 0x7829973a),
TOBN(0x8c26b232, 0xa3326505), TOBN(0x38d69272, 0xee1d41bf),
TOBN(0x0459453e, 0xffe32afa), TOBN(0xce8143ad, 0x7cb3ea87),
TOBN(0x932ec1fa, 0x7e6ab666), TOBN(0x6cd2d230, 0x22286264),
TOBN(0x459a46fe, 0x6736f8ed), TOBN(0x50bf0d00, 0x9eca85bb),
TOBN(0x0b825852, 0x877a21ec), TOBN(0x300414a7, 0x0f537a94),
TOBN(0x3f1cba40, 0x21a9a6a2), TOBN(0x50824eee, 0x76943c00),
TOBN(0xa0dbfcec, 0xf83cba5d), TOBN(0xf9538148, 0x93b4f3c0),
TOBN(0x61744162, 0x48f24dd7), TOBN(0x5322d64d, 0xe4fb09dd),
TOBN(0x57447384, 0x3d9325f3), TOBN(0xa9bef2d0, 0xf371cb84),
TOBN(0x77d2188b, 0xa61e36c5), TOBN(0xbbd6a7d7, 0xc602df72),
TOBN(0xba3aa902, 0x8f61bc0b), TOBN(0xf49085ed, 0x6ed0b6a1),
TOBN(0x8bc625d6, 0xae6e8298), TOBN(0x832b0b1d, 0xa2e9c01d),
TOBN(0xa337c447, 0xf1f0ced1), TOBN(0x800cc793, 0x9492dd2b),
TOBN(0x4b93151d, 0xbea08efa), TOBN(0x820cf3f8, 0xde0a741e),
TOBN(0xff1982dc, 0x1c0f7d13), TOBN(0xef921960, 0x84dde6ca),
TOBN(0x1ad7d972, 0x45f96ee3), TOBN(0x319c8dbe, 0x29dea0c7),
TOBN(0xd3ea3871, 0x7b82b99b), TOBN(0x75922d4d, 0x470eb624),
TOBN(0x8f66ec54, 0x3b95d466), TOBN(0x66e673cc, 0xbee1e346),
TOBN(0x6afe67c4, 0xb5f2b89a), TOBN(0x3de9c1e6, 0x290e5cd3),
TOBN(0x8c278bb6, 0x310a2ada), TOBN(0x420fa384, 0x0bdb323b),
TOBN(0x0ae1d63b, 0x0eb919b0), TOBN(0xd74ee51d, 0xa74b9620),
TOBN(0x395458d0, 0xa674290c), TOBN(0x324c930f, 0x4620a510),
TOBN(0x2d1f4d19, 0xfbac27d4), TOBN(0x4086e8ca, 0x9bedeeac),
TOBN(0x0cdd211b, 0x9b679ab8), TOBN(0x5970167d, 0x7090fec4),
TOBN(0x3420f2c9, 0xfaf1fc63), TOBN(0x616d333a, 0x328c8bb4),
TOBN(0x7d65364c, 0x57f1fe4a), TOBN(0x9343e877, 0x55e5c73a),
TOBN(0x5795176b, 0xe970e78c), TOBN(0xa36ccebf, 0x60533627),
TOBN(0xfc7c7380, 0x09cdfc1b), TOBN(0xb39a2afe, 0xb3fec326),
TOBN(0xb7ff1ba1, 0x6224408a), TOBN(0xcc856e92, 0x247cfc5e),
TOBN(0x01f102e7, 0xc18bc493), TOBN(0x4613ab74, 0x2091c727),
TOBN(0xaa25e89c, 0xc420bf2b), TOBN(0x00a53176, 0x90337ec2),
TOBN(0xd2be9f43, 0x7d025fc7), TOBN(0x3316fb85, 0x6e6fe3dc),
TOBN(0x27520af5, 0x9ac50814), TOBN(0xfdf95e78, 0x9a8e4223),
TOBN(0xb7e7df2a, 0x56bec5a0), TOBN(0xf7022f7d, 0xdf159e5d),
TOBN(0x93eeeab1, 0xcac1fe8f), TOBN(0x8040188c, 0x37451168),
TOBN(0x7ee8aa8a, 0xd967dce6), TOBN(0xfa0e79e7, 0x3abc9299),
TOBN(0x67332cfc, 0x2064cfd1), TOBN(0x339c31de, 0xb0651934),
TOBN(0x719b28d5, 0x2a3bcbea), TOBN(0xee74c82b, 0x9d6ae5c6),
TOBN(0x0927d05e, 0xbaf28ee6), TOBN(0x82cecf2c, 0x9d719028),
TOBN(0x0b0d353e, 0xddb30289), TOBN(0xfe4bb977, 0xfddb2e29),
TOBN(0xbb5bb990, 0x640bfd9e), TOBN(0xd226e277, 0x82f62108),
TOBN(0x4bf00985, 0x02ffdd56), TOBN(0x7756758a, 0x2ca1b1b5),
TOBN(0xc32b62a3, 0x5285fe91), TOBN(0xedbc546a, 0x8c9cd140),
TOBN(0x1e47a013, 0xaf5cb008), TOBN(0xbca7e720, 0x073ce8f2),
TOBN(0xe10b2ab8, 0x17a91cae), TOBN(0xb89aab65, 0x08e27f63),
TOBN(0x7b3074a7, 0xdba3ddf9), TOBN(0x1c20ce09, 0x330c2972),
TOBN(0x6b9917b4, 0x5fcf7e33), TOBN(0xe6793743, 0x945ceb42),
TOBN(0x18fc2215, 0x5c633d19), TOBN(0xad1adb3c, 0xc7485474),
TOBN(0x646f9679, 0x6424c49b), TOBN(0xf888dfe8, 0x67c241c9),
TOBN(0xe12d4b93, 0x24f68b49), TOBN(0x9a6b62d8, 0xa571df20),
TOBN(0x81b4b26d, 0x179483cb), TOBN(0x666f9632, 0x9511fae2),
TOBN(0xd281b3e4, 0xd53aa51f), TOBN(0x7f96a765, 0x7f3dbd16),
TOBN(0xa7f8b5bf, 0x074a30ce), TOBN(0xd7f52107, 0x005a32e6),
TOBN(0x6f9e0907, 0x50237ed4), TOBN(0x2f21da47, 0x8096fa2b),
TOBN(0xf3e19cb4, 0xeec863a0), TOBN(0xd18f77fd, 0x9527620a),
TOBN(0x9505c81c, 0x407c1cf8), TOBN(0x9998db4e, 0x1b6ec284),
TOBN(0x7e3389e5, 0xc247d44d), TOBN(0x12507141, 0x3f4f3d80),
TOBN(0xd4ba0110, 0x4a78a6c7), TOBN(0x312874a0, 0x767720be),
TOBN(0xded059a6, 0x75944370), TOBN(0xd6123d90, 0x3b2c0bdd),
TOBN(0xa56b717b, 0x51c108e3), TOBN(0x9bb7940e, 0x070623e9),
TOBN(0x794e2d59, 0x84ac066c), TOBN(0xf5954a92, 0xe68c69a0),
TOBN(0x28c52458, 0x4fd99dcc), TOBN(0x60e639fc, 0xb1012517),
TOBN(0xc2e60125, 0x7de79248), TOBN(0xe9ef6404, 0xf12fc6d7),
TOBN(0x4c4f2808, 0x2a3b5d32), TOBN(0x865ad32e, 0xc768eb8a),
TOBN(0xac02331b, 0x13fb70b6), TOBN(0x037b44c1, 0x95599b27),
TOBN(0x1a860fc4, 0x60bd082c), TOBN(0xa2e25745, 0xc980cd01),
TOBN(0xee3387a8, 0x1da0263e), TOBN(0x931bfb95, 0x2d10f3d6),
TOBN(0x5b687270, 0xa1f24a32), TOBN(0xf140e65d, 0xca494b86),
TOBN(0x4f4ddf91, 0xb2f1ac7a), TOBN(0xf99eaabb, 0x760fee27),
TOBN(0x57f4008a, 0x49c228e5), TOBN(0x090be440, 0x1cf713bb),
TOBN(0xac91fbe4, 0x5004f022), TOBN(0xd838c2c2, 0x569e1af6),
TOBN(0xd6c7d20b, 0x0f1daaa5), TOBN(0xaa063ac1, 0x1bbb02c0),
TOBN(0x0938a422, 0x59558a78), TOBN(0x5343c669, 0x8435da2f),
TOBN(0x96f67b18, 0x034410dc), TOBN(0x7cc1e424, 0x84510804),
TOBN(0x86a1543f, 0x16dfbb7d), TOBN(0x921fa942, 0x5b5bd592),
TOBN(0x9dcccb6e, 0xb33dd03c), TOBN(0x8581ddd9, 0xb843f51e),
TOBN(0x54935fcb, 0x81d73c9e), TOBN(0x6d07e979, 0x0a5e97ab),
TOBN(0x4dc7b30a, 0xcf3a6bab), TOBN(0x147ab1f3, 0x170bee11),
TOBN(0x0aaf8e3d, 0x9fafdee4), TOBN(0xfab3dbcb, 0x538a8b95),
TOBN(0x405df4b3, 0x6ef13871), TOBN(0xf1f4e9cb, 0x088d5a49),
TOBN(0x9bcd24d3, 0x66b33f1d), TOBN(0x3b97b820, 0x5ce445c0),
TOBN(0xe2926549, 0xba93ff61), TOBN(0xd9c341ce, 0x4dafe616),
TOBN(0xfb30a76e, 0x16efb6f3), TOBN(0xdf24b8ca, 0x605b953c),
TOBN(0x8bd52afe, 0xc2fffb9f), TOBN(0xbbac5ff7, 0xe19d0b96),
TOBN(0x43c01b87, 0x459afccd), TOBN(0x6bd45143, 0xb7432652),
TOBN(0x84734530, 0x55b5d78e), TOBN(0x81088fdb, 0x1554ba7d),
TOBN(0xada0a52c, 0x1e269375), TOBN(0xf9f037c4, 0x2dc5ec10),
TOBN(0xc0660607, 0x94bfbc11), TOBN(0xc0a630bb, 0xc9c40d2f),
TOBN(0x5efc797e, 0xab64c31e), TOBN(0xffdb1dab, 0x74507144),
TOBN(0xf6124287, 0x1ca6790c), TOBN(0xe9609d81, 0xe69bf1bf),
TOBN(0xdb898595, 0x00d24fc9), TOBN(0x9c750333, 0xe51fb417),
TOBN(0x51830a91, 0xfef7bbde), TOBN(0x0ce67dc8, 0x945f585c),
TOBN(0x9a730ed4, 0x4763eb50), TOBN(0x24a0e221, 0xc1ab0d66),
TOBN(0x643b6393, 0x648748f3), TOBN(0x1982daa1, 0x6d3c6291),
TOBN(0x6f00a9f7, 0x8bbc5549), TOBN(0x7a1783e1, 0x7f36384e),
TOBN(0xe8346323, 0xde977f50), TOBN(0x91ab688d, 0xb245502a),
TOBN(0x331ab6b5, 0x6d0bdd66), TOBN(0x0a6ef32e, 0x64b71229),
TOBN(0x1028150e, 0xfe7c352f), TOBN(0x27e04350, 0xce7b39d3),
TOBN(0x2a3c8acd, 0xc1070c82), TOBN(0xfb2034d3, 0x80c9feef),
TOBN(0x2d729621, 0x709f3729), TOBN(0x8df290bf, 0x62cb4549),
TOBN(0x02f99f33, 0xfc2e4326), TOBN(0x3b30076d, 0x5eddf032),
TOBN(0xbb21f8cf, 0x0c652fb5), TOBN(0x314fb49e, 0xed91cf7b),
TOBN(0xa013eca5, 0x2f700750), TOBN(0x2b9e3c23, 0x712a4575),
TOBN(0xe5355557, 0xaf30fbb0), TOBN(0x1ada3516, 0x7c77e771),
TOBN(0x45f6ecb2, 0x7b135670), TOBN(0xe85d19df, 0x7cfc202e),
TOBN(0x0f1b50c7, 0x58d1be9f), TOBN(0x5ebf2c0a, 0xead2e344),
TOBN(0x1531fe4e, 0xabc199c9), TOBN(0xc7032592, 0x56bab0ae),
TOBN(0x16ab2e48, 0x6c1fec54), TOBN(0x0f87fda8, 0x04280188),
TOBN(0xdc9f46fc, 0x609e4a74), TOBN(0x2a44a143, 0xba667f91),
TOBN(0xbc3d8b95, 0xb4d83436), TOBN(0xa01e4bd0, 0xc7bd2958),
TOBN(0x7b182932, 0x73483c90), TOBN(0xa79c6aa1, 0xa7c7b598),
TOBN(0xbf3983c6, 0xeaaac07e), TOBN(0x8f18181e, 0x96e0d4e6),
TOBN(0x8553d37c, 0x051af62b), TOBN(0xe9a998eb, 0x0bf94496),
TOBN(0xe0844f9f, 0xb0d59aa1), TOBN(0x983fd558, 0xe6afb813),
TOBN(0x9670c0ca, 0x65d69804), TOBN(0x732b22de, 0x6ea5ff2d),
TOBN(0xd7640ba9, 0x5fd8623b), TOBN(0x9f619163, 0xa6351782),
TOBN(0x0bfc27ee, 0xacee5043), TOBN(0xae419e73, 0x2eb10f02),
TOBN(0x19c028d1, 0x8943fb05), TOBN(0x71f01cf7, 0xff13aa2a),
TOBN(0x7790737e, 0x8887a132), TOBN(0x67513309, 0x66318410),
TOBN(0x9819e8a3, 0x7ddb795e), TOBN(0xfecb8ef5, 0xdad100b2),
TOBN(0x59f74a22, 0x3021926a), TOBN(0xb7c28a49, 0x6f9b4c1c),
TOBN(0xed1a733f, 0x912ad0ab), TOBN(0x42a910af, 0x01a5659c),
TOBN(0x3842c6e0, 0x7bd68cab), TOBN(0x2b57fa38, 0x76d70ac8),
TOBN(0x8a6707a8, 0x3c53aaeb), TOBN(0x62c1c510, 0x65b4db18),
TOBN(0x8de2c1fb, 0xb2d09dc7), TOBN(0xc3dfed12, 0x266bd23b),
TOBN(0x927d039b, 0xd5b27db6), TOBN(0x2fb2f0f1, 0x103243da),
TOBN(0xf855a07b, 0x80be7399), TOBN(0xed9327ce, 0x1f9f27a8),
TOBN(0xa0bd99c7, 0x729bdef7), TOBN(0x2b67125e, 0x28250d88),
TOBN(0x784b26e8, 0x8670ced7), TOBN(0xe3dfe41f, 0xc31bd3b4),
TOBN(0x9e353a06, 0xbcc85cbc), TOBN(0x302e2909, 0x60178a9d),
TOBN(0x860abf11, 0xa6eac16e), TOBN(0x76447000, 0xaa2b3aac),
TOBN(0x46ff9d19, 0x850afdab), TOBN(0x35bdd6a5, 0xfdb2d4c1),
TOBN(0xe82594b0, 0x7e5c9ce9), TOBN(0x0f379e53, 0x20af346e),
TOBN(0x608b31e3, 0xbc65ad4a), TOBN(0x710c6b12, 0x267c4826),
TOBN(0x51c966f9, 0x71954cf1), TOBN(0xb1cec793, 0x0d0aa215),
TOBN(0x1f155989, 0x86bd23a8), TOBN(0xae2ff99c, 0xf9452e86),
TOBN(0xd8dd953c, 0x340ceaa2), TOBN(0x26355275, 0x2e2e9333),
TOBN(0x15d4e5f9, 0x8586f06d), TOBN(0xd6bf94a8, 0xf7cab546),
TOBN(0x33c59a0a, 0xb76a9af0), TOBN(0x52740ab3, 0xba095af7),
TOBN(0xc444de8a, 0x24389ca0), TOBN(0xcc6f9863, 0x706da0cb),
TOBN(0xb5a741a7, 0x6b2515cf), TOBN(0x71c41601, 0x9585c749),
TOBN(0x78350d4f, 0xe683de97), TOBN(0x31d61524, 0x63d0b5f5),
TOBN(0x7a0cc5e1, 0xfbce090b), TOBN(0xaac927ed, 0xfbcb2a5b),
TOBN(0xe920de49, 0x20d84c35), TOBN(0x8c06a0b6, 0x22b4de26),
TOBN(0xd34dd58b, 0xafe7ddf3), TOBN(0x55851fed, 0xc1e6e55b),
TOBN(0xd1395616, 0x960696e7), TOBN(0x940304b2, 0x5f22705f),
TOBN(0x6f43f861, 0xb0a2a860), TOBN(0xcf121282, 0x0e7cc981),
TOBN(0x12186212, 0x0ab64a96), TOBN(0x09215b9a, 0xb789383c),
TOBN(0x311eb305, 0x37387c09), TOBN(0xc5832fce, 0xf03ee760),
TOBN(0x30358f58, 0x32f7ea19), TOBN(0xe01d3c34, 0x91d53551),
TOBN(0x1ca5ee41, 0xda48ea80), TOBN(0x34e71e8e, 0xcf4fa4c1),
TOBN(0x312abd25, 0x7af1e1c7), TOBN(0xe3afcdeb, 0x2153f4a5),
TOBN(0x9d5c84d7, 0x00235e9a), TOBN(0x0308d3f4, 0x8c4c836f),
TOBN(0xc0a66b04, 0x89332de5), TOBN(0x610dd399, 0x89e566ef),
TOBN(0xf8eea460, 0xd1ac1635), TOBN(0x84cbb3fb, 0x20a2c0df),
TOBN(0x40afb488, 0xe74a48c5), TOBN(0x29738198, 0xd326b150),
TOBN(0x2a17747f, 0xa6d74081), TOBN(0x60ea4c05, 0x55a26214),
TOBN(0x53514bb4, 0x1f88c5fe), TOBN(0xedd64567, 0x7e83426c),
TOBN(0xd5d6cbec, 0x96460b25), TOBN(0xa12fd0ce, 0x68dc115e),
TOBN(0xc5bc3ed2, 0x697840ea), TOBN(0x969876a8, 0xa6331e31),
TOBN(0x60c36217, 0x472ff580), TOBN(0xf4229705, 0x4ad41393),
TOBN(0x4bd99ef0, 0xa03b8b92), TOBN(0x501c7317, 0xc144f4f6),
TOBN(0x159009b3, 0x18464945), TOBN(0x6d5e594c, 0x74c5c6be),
TOBN(0x2d587011, 0x321a3660), TOBN(0xd1e184b1, 0x3898d022),
TOBN(0x5ba04752, 0x4c6a7e04), TOBN(0x47fa1e2b, 0x45550b65),
TOBN(0x9419daf0, 0x48c0a9a5), TOBN(0x66362953, 0x7c243236),
TOBN(0xcd0744b1, 0x5cb12a88), TOBN(0x561b6f9a, 0x2b646188),
TOBN(0x599415a5, 0x66c2c0c0), TOBN(0xbe3f0859, 0x0f83f09a),
TOBN(0x9141c5be, 0xb92041b8), TOBN(0x01ae38c7, 0x26477d0d),
TOBN(0xca8b71f3, 0xd12c7a94), TOBN(0xfab5b31f, 0x765c70db),
TOBN(0x76ae7492, 0x487443e9), TOBN(0x8595a310, 0x990d1349),
TOBN(0xf8dbeda8, 0x7d460a37), TOBN(0x7f7ad082, 0x1e45a38f),
TOBN(0xed1d4db6, 0x1059705a), TOBN(0xa3dd492a, 0xe6b9c697),
TOBN(0x4b92ee3a, 0x6eb38bd5), TOBN(0xbab2609d, 0x67cc0bb7),
TOBN(0x7fc4fe89, 0x6e70ee82), TOBN(0xeff2c56e, 0x13e6b7e3),
TOBN(0x9b18959e, 0x34d26fca), TOBN(0x2517ab66, 0x889d6b45),
TOBN(0xf167b4e0, 0xbdefdd4f), TOBN(0x69958465, 0xf366e401),
TOBN(0x5aa368ab, 0xa73bbec0), TOBN(0x12148709, 0x7b240c21),
TOBN(0x378c3233, 0x18969006), TOBN(0xcb4d73ce, 0xe1fe53d1),
TOBN(0x5f50a80e, 0x130c4361), TOBN(0xd67f5951, 0x7ef5212b),
TOBN(0xf145e21e, 0x9e70c72e), TOBN(0xb2e52e29, 0x5566d2fb),
TOBN(0x44eaba4a, 0x032397f5), TOBN(0x5e56937b, 0x7e31a7de),
TOBN(0x68dcf517, 0x456c61e1), TOBN(0xbc2e954a, 0xa8b0a388),
TOBN(0xe3552fa7, 0x60a8b755), TOBN(0x03442dae, 0x73ad0cde),
TOBN(0x37ffe747, 0xceb26210), TOBN(0x983545e8, 0x787baef9),
TOBN(0x8b8c8535, 0x86a3de31), TOBN(0xc621dbcb, 0xfacd46db),
TOBN(0x82e442e9, 0x59266fbb), TOBN(0xa3514c37, 0x339d471c),
TOBN(0x3a11b771, 0x62cdad96), TOBN(0xf0cb3b3c, 0xecf9bdf0),
TOBN(0x3fcbdbce, 0x478e2135), TOBN(0x7547b5cf, 0xbda35342),
TOBN(0xa97e81f1, 0x8a677af6), TOBN(0xc8c2bf83, 0x28817987),
TOBN(0xdf07eaaf, 0x45580985), TOBN(0xc68d1f05, 0xc93b45cb),
TOBN(0x106aa2fe, 0xc77b4cac), TOBN(0x4c1d8afc, 0x04a7ae86),
TOBN(0xdb41c3fd, 0x9eb45ab2), TOBN(0x5b234b5b, 0xd4b22e74),
TOBN(0xda253dec, 0xf215958a), TOBN(0x67e0606e, 0xa04edfa0),
TOBN(0xabbbf070, 0xef751b11), TOBN(0xf352f175, 0xf6f06dce),
TOBN(0xdfc4b6af, 0x6839f6b4), TOBN(0x53ddf9a8, 0x9959848e),
TOBN(0xda49c379, 0xc21520b0), TOBN(0x90864ff0, 0xdbd5d1b6),
TOBN(0x2f055d23, 0x5f49c7f7), TOBN(0xe51e4e6a, 0xa796b2d8),
TOBN(0xc361a67f, 0x5c9dc340), TOBN(0x5ad53c37, 0xbca7c620),
TOBN(0xda1d6588, 0x32c756d0), TOBN(0xad60d911, 0x8bb67e13),
TOBN(0xd6c47bdf, 0x0eeec8c6), TOBN(0x4a27fec1, 0x078a1821),
TOBN(0x081f7415, 0xc3099524), TOBN(0x8effdf0b, 0x82cd8060),
TOBN(0xdb70ec1c, 0x65842df8), TOBN(0x8821b358, 0xd319a901),
TOBN(0x72ee56ee, 0xde42b529), TOBN(0x5bb39592, 0x236e4286),
TOBN(0xd1183316, 0xfd6f7140), TOBN(0xf9fadb5b, 0xbd8e81f7),
TOBN(0x701d5e0c, 0x5a02d962), TOBN(0xfdee4dbf, 0x1b601324),
TOBN(0xbed17407, 0x35d7620e), TOBN(0x04e3c2c3, 0xf48c0012),
TOBN(0x9ee29da7, 0x3455449a), TOBN(0x562cdef4, 0x91a836c4),
TOBN(0x8f682a5f, 0x47701097), TOBN(0x617125d8, 0xff88d0c2),
TOBN(0x948fda24, 0x57bb86dd), TOBN(0x348abb8f, 0x289f7286),
TOBN(0xeb10eab5, 0x99d94bbd), TOBN(0xd51ba28e, 0x4684d160),
TOBN(0xabe0e51c, 0x30c8f41a), TOBN(0x66588b45, 0x13254f4a),
TOBN(0x147ebf01, 0xfad097a5), TOBN(0x49883ea8, 0x610e815d),
TOBN(0xe44d60ba, 0x8a11de56), TOBN(0xa970de6e, 0x827a7a6d),
TOBN(0x2be41424, 0x5e17fc19), TOBN(0xd833c657, 0x01214057),
TOBN(0x1375813b, 0x363e723f), TOBN(0x6820bb88, 0xe6a52e9b),
TOBN(0x7e7f6970, 0xd875d56a), TOBN(0xd6a0a9ac, 0x51fbf6bf),
TOBN(0x54ba8790, 0xa3083c12), TOBN(0xebaeb23d, 0x6ae7eb64),
TOBN(0xa8685c3a, 0xb99a907a), TOBN(0xf1e74550, 0x026bf40b),
TOBN(0x7b73a027, 0xc802cd9e), TOBN(0x9a8a927c, 0x4fef4635),
TOBN(0xe1b6f60c, 0x08191224), TOBN(0xc4126ebb, 0xde4ec091),
TOBN(0xe1dff4dc, 0x4ae38d84), TOBN(0xde3f57db, 0x4f2ef985),
TOBN(0x34964337, 0xd446a1dd), TOBN(0x7bf217a0, 0x859e77f6),
TOBN(0x8ff10527, 0x8e1d13f5), TOBN(0xa304ef03, 0x74eeae27),
TOBN(0xfc6f5e47, 0xd19dfa5a), TOBN(0xdb007de3, 0x7fad982b),
TOBN(0x28205ad1, 0x613715f5), TOBN(0x251e6729, 0x7889529e),
TOBN(0x72705184, 0x1ae98e78), TOBN(0xf818537d, 0x271cac32),
TOBN(0xc8a15b7e, 0xb7f410f5), TOBN(0xc474356f, 0x81f62393),
TOBN(0x92dbdc5a, 0xc242316b), TOBN(0xabe060ac, 0xdbf4aff5),
TOBN(0x6e8c38fe, 0x909a8ec6), TOBN(0x43e514e5, 0x6116cb94),
TOBN(0x2078fa38, 0x07d784f9), TOBN(0x1161a880, 0xf4b5b357),
TOBN(0x5283ce79, 0x13adea3d), TOBN(0x0756c3e6, 0xcc6a910b),
TOBN(0x60bcfe01, 0xaaa79697), TOBN(0x04a73b29, 0x56391db1),
TOBN(0xdd8dad47, 0x189b45a0), TOBN(0xbfac0dd0, 0x48d5b8d9),
TOBN(0x34ab3af5, 0x7d3d2ec2), TOBN(0x6fa2fc2d, 0x207bd3af),
TOBN(0x9ff40092, 0x66550ded), TOBN(0x719b3e87, 0x1fd5b913),
TOBN(0xa573a496, 0x6d17fbc7), TOBN(0x0cd1a70a, 0x73d2b24e),
TOBN(0x34e2c5ca, 0xb2676937), TOBN(0xe7050b06, 0xbf669f21),
TOBN(0xfbe948b6, 0x1ede9046), TOBN(0xa0530051, 0x97662659),
TOBN(0x58cbd4ed, 0xf10124c5), TOBN(0xde2646e4, 0xdd6c06c8),
TOBN(0x332f8108, 0x8cad38c0), TOBN(0x471b7e90, 0x6bd68ae2),
TOBN(0x56ac3fb2, 0x0d8e27a3), TOBN(0xb54660db, 0x136b4b0d),
TOBN(0x123a1e11, 0xa6fd8de4), TOBN(0x44dbffea, 0xa37799ef),
TOBN(0x4540b977, 0xce6ac17c), TOBN(0x495173a8, 0xaf60acef)}
,
{TOBN(0x9ebb284d, 0x391c2a82), TOBN(0xbcdd4863, 0x158308e8),
TOBN(0x006f16ec, 0x83f1edca), TOBN(0xa13e2c37, 0x695dc6c8),
TOBN(0x2ab756f0, 0x4a057a87), TOBN(0xa8765500, 0xa6b48f98),
TOBN(0x4252face, 0x68651c44), TOBN(0xa52b540b, 0xe1765e02),
TOBN(0x4f922fc5, 0x16a0d2bb), TOBN(0x0d5cc16c, 0x1a623499),
TOBN(0x9241cf3a, 0x57c62c8b), TOBN(0x2f5e6961, 0xfd1b667f),
TOBN(0x5c15c70b, 0xf5a01797), TOBN(0x3d20b44d, 0x60956192),
TOBN(0x04911b37, 0x071fdb52), TOBN(0xf648f916, 0x8d6f0f7b),
TOBN(0x6dc1acaf, 0xe60b7cf7), TOBN(0x25860a50, 0x84a9d869),
TOBN(0x56fc6f09, 0xe7ba8ac4), TOBN(0x828c5bd0, 0x6148d29e),
TOBN(0xac6b435e, 0xdc55ae5f), TOBN(0xa527f56c, 0xc0117411),
TOBN(0x94d5045e, 0xfd24342c), TOBN(0x2c4c0a35, 0x70b67c0d),
TOBN(0x027cc8b8, 0xfac61d9a), TOBN(0x7d25e062, 0xe3c6fe8a),
TOBN(0xe08805bf, 0xe5bff503), TOBN(0x13271e6c, 0x6ff632f7),
TOBN(0x55dca6c0, 0x232f76a5), TOBN(0x8957c32d, 0x701ef426),
TOBN(0xee728bcb, 0xa10a5178), TOBN(0x5ea60411, 0xb62c5173),
TOBN(0xfc4e964e, 0xd0b8892b), TOBN(0x9ea17683, 0x9301bb74),
TOBN(0x6265c5ae, 0xfcc48626), TOBN(0xe60cf82e, 0xbb3e9102),
TOBN(0x57adf797, 0xd4df5531), TOBN(0x235b59a1, 0x8deeefe2),
TOBN(0x60adcf58, 0x3f306eb1), TOBN(0x105c2753, 0x3d09492d),
TOBN(0x4090914b, 0xb5def996), TOBN(0x1cb69c83, 0x233dd1e7),
TOBN(0xc1e9c1d3, 0x9b3d5e76), TOBN(0x1f3338ed, 0xfccf6012),
TOBN(0xb1e95d0d, 0x2f5378a8), TOBN(0xacf4c2c7, 0x2f00cd21),
TOBN(0x6e984240, 0xeb5fe290), TOBN(0xd66c038d, 0x248088ae),
TOBN(0x804d264a, 0xf94d70cf), TOBN(0xbdb802ef, 0x7314bf7e),
TOBN(0x8fb54de2, 0x4333ed02), TOBN(0x740461e0, 0x285635d9),
TOBN(0x4113b2c8, 0x365e9383), TOBN(0xea762c83, 0x3fdef652),
TOBN(0x4eec6e2e, 0x47b956c1), TOBN(0xa3d814be, 0x65620fa4),
TOBN(0x9ad5462b, 0xb4d8bc50), TOBN(0x181c0b16, 0xa9195770),
TOBN(0xebd4fe1c, 0x78412a68), TOBN(0xae0341bc, 0xc0dff48c),
TOBN(0xb6bc45cf, 0x7003e866), TOBN(0xf11a6dea, 0x8a24a41b),
TOBN(0x5407151a, 0xd04c24c2), TOBN(0x62c9d27d, 0xda5b7b68),
TOBN(0x2e964235, 0x88cceff6), TOBN(0x8594c54f, 0x8b07ed69),
TOBN(0x1578e73c, 0xc84d0d0d), TOBN(0x7b4e1055, 0xff532868),
TOBN(0xa348c0d5, 0xb5ec995a), TOBN(0xbf4b9d55, 0x14289a54),
TOBN(0x9ba155a6, 0x58fbd777), TOBN(0x186ed7a8, 0x1a84491d),
TOBN(0xd4992b30, 0x614c0900), TOBN(0xda98d121, 0xbd00c24b),
TOBN(0x7f534dc8, 0x7ec4bfa1), TOBN(0x4a5ff674, 0x37dc34bc),
TOBN(0x68c196b8, 0x1d7ea1d7), TOBN(0x38cf2893, 0x80a6d208),
TOBN(0xfd56cd09, 0xe3cbbd6e), TOBN(0xec72e27e, 0x4205a5b6),
TOBN(0x15ea68f5, 0xa44f77f7), TOBN(0x7aa5f9fd, 0xb43c52bc),
TOBN(0x86ff676f, 0x94f0e609), TOBN(0xa4cde963, 0x2e2d432b),
TOBN(0x8cafa0c0, 0xeee470af), TOBN(0x84137d0e, 0x8a3f5ec8),
TOBN(0xebb40411, 0xfaa31231), TOBN(0xa239c13f, 0x6f7f7ccf),
TOBN(0x32865719, 0xa8afd30b), TOBN(0x86798328, 0x8a826dce),
TOBN(0xdf04e891, 0xc4a8fbe0), TOBN(0xbb6b6e1b, 0xebf56ad3),
TOBN(0x0a695b11, 0x471f1ff0), TOBN(0xd76c3389, 0xbe15baf0),
TOBN(0x018edb95, 0xbe96c43e), TOBN(0xf2beaaf4, 0x90794158),
TOBN(0x152db09e, 0xc3076a27), TOBN(0x5e82908e, 0xe416545d),
TOBN(0xa2c41272, 0x356d6f2e), TOBN(0xdc9c9642, 0x31fd74e1),
TOBN(0x66ceb88d, 0x519bf615), TOBN(0xe29ecd76, 0x05a2274e),
TOBN(0x3a0473c4, 0xbf5e2fa0), TOBN(0x6b6eb671, 0x64284e67),
TOBN(0xe8b97932, 0xb88756dd), TOBN(0xed4e8652, 0xf17e3e61),
TOBN(0xc2dd1499, 0x3ee1c4a4), TOBN(0xc0aaee17, 0x597f8c0e),
TOBN(0x15c4edb9, 0x6c168af3), TOBN(0x6563c7bf, 0xb39ae875),
TOBN(0xadfadb6f, 0x20adb436), TOBN(0xad55e8c9, 0x9a042ac0),
TOBN(0x975a1ed8, 0xb76da1f5), TOBN(0x10dfa466, 0xa58acb94),
TOBN(0x8dd7f7e3, 0xac060282), TOBN(0x6813e66a, 0x572a051e),
TOBN(0xb4ccae1e, 0x350cb901), TOBN(0xb653d656, 0x50cb7822),
TOBN(0x42484710, 0xdfab3b87), TOBN(0xcd7ee537, 0x9b670fd0),
TOBN(0x0a50b12e, 0x523b8bf6), TOBN(0x8009eb5b, 0x8f910c1b),
TOBN(0xf535af82, 0x4a167588), TOBN(0x0f835f9c, 0xfb2a2abd),
TOBN(0xf59b2931, 0x2afceb62), TOBN(0xc797df2a, 0x169d383f),
TOBN(0xeb3f5fb0, 0x66ac02b0), TOBN(0x029d4c6f, 0xdaa2d0ca),
TOBN(0xd4059bc1, 0xafab4bc5), TOBN(0x833f5c6f, 0x56783247),
TOBN(0xb5346630, 0x8d2d3605), TOBN(0x83387891, 0xd34d8433),
TOBN(0xd973b30f, 0xadd9419a), TOBN(0xbcca1099, 0xafe3fce8),
TOBN(0x08178315, 0x0809aac6), TOBN(0x01b7f21a, 0x540f0f11),
TOBN(0x65c29219, 0x909523c8), TOBN(0xa62f648f, 0xa3a1c741),
TOBN(0x88598d4f, 0x60c9e55a), TOBN(0xbce9141b, 0x0e4f347a),
TOBN(0x9af97d84, 0x35f9b988), TOBN(0x0210da62, 0x320475b6),
TOBN(0x3c076e22, 0x9191476c), TOBN(0x7520dbd9, 0x44fc7834),
TOBN(0x6a6b2cfe, 0xc1ab1bbd), TOBN(0xef8a65be, 0xdc650938),
TOBN(0x72855540, 0x805d7bc4), TOBN(0xda389396, 0xed11fdfd),
TOBN(0xa9d5bd36, 0x74660876), TOBN(0x11d67c54, 0xb45dff35),
TOBN(0x6af7d148, 0xa4f5da94), TOBN(0xbb8d4c3f, 0xc0bbeb31),
TOBN(0x87a7ebd1, 0xe0a1b12a), TOBN(0x1e4ef88d, 0x770ba95f),
TOBN(0x8c33345c, 0xdc2ae9cb), TOBN(0xcecf1276, 0x01cc8403),
TOBN(0x687c012e, 0x1b39b80f), TOBN(0xfd90d0ad, 0x35c33ba4),
TOBN(0xa3ef5a67, 0x5c9661c2), TOBN(0x368fc88e, 0xe017429e),
TOBN(0xd30c6761, 0x196a2fa2), TOBN(0x931b9817, 0xbd5b312e),
TOBN(0xba01000c, 0x72f54a31), TOBN(0xa203d2c8, 0x66eaa541),
TOBN(0xf2abdee0, 0x98939db3), TOBN(0xe37d6c2c, 0x3e606c02),
TOBN(0xf2921574, 0x521ff643), TOBN(0x2781b3c4, 0xd7e2fca3),
TOBN(0x664300b0, 0x7850ec06), TOBN(0xac5a38b9, 0x7d3a10cf),
TOBN(0x9233188d, 0xe34ab39d), TOBN(0xe77057e4, 0x5072cbb9),
TOBN(0xbcf0c042, 0xb59e78df), TOBN(0x4cfc91e8, 0x1d97de52),
TOBN(0x4661a26c, 0x3ee0ca4a), TOBN(0x5620a4c1, 0xfb8507bc),
TOBN(0x4b44d4aa, 0x049f842c), TOBN(0xceabc5d5, 0x1540e82b),
TOBN(0x306710fd, 0x15c6f156), TOBN(0xbe5ae52b, 0x63db1d72),
TOBN(0x06f1e7e6, 0x334957f1), TOBN(0x57e388f0, 0x31144a70),
TOBN(0xfb69bb2f, 0xdf96447b), TOBN(0x0f78ebd3, 0x73e38a12),
TOBN(0xb8222605, 0x2b7ce542), TOBN(0xe6d4ce99, 0x7472bde1),
TOBN(0x53e16ebe, 0x09d2f4da), TOBN(0x180ff42e, 0x53b92b2e),
TOBN(0xc59bcc02, 0x2c34a1c6), TOBN(0x3803d6f9, 0x422c46c2),
TOBN(0x18aff74f, 0x5c14a8a2), TOBN(0x55aebf80, 0x10a08b28),
TOBN(0x66097d58, 0x7135593f), TOBN(0x32e6eff7, 0x2be570cd),
TOBN(0x584e6a10, 0x2a8c860d), TOBN(0xcd185890, 0xa2eb4163),
TOBN(0x7ceae99d, 0x6d97e134), TOBN(0xd42c6b70, 0xdd8447ce),
TOBN(0x59ddbb4a, 0xb8c50273), TOBN(0x03c612df, 0x3cf34e1e),
TOBN(0x84b9ca15, 0x04b6c5a0), TOBN(0x35216f39, 0x18f0e3a3),
TOBN(0x3ec2d2bc, 0xbd986c00), TOBN(0x8bf546d9, 0xd19228fe),
TOBN(0xd1c655a4, 0x4cd623c3), TOBN(0x366ce718, 0x502b8e5a),
TOBN(0x2cfc84b4, 0xeea0bfe7), TOBN(0xe01d5cee, 0xcf443e8e),
TOBN(0x8ec045d9, 0x036520f8), TOBN(0xdfb3c3d1, 0x92d40e98),
TOBN(0x0bac4cce, 0xcc559a04), TOBN(0x35eccae5, 0x240ea6b1),
TOBN(0x180b32db, 0xf8a5a0ac), TOBN(0x547972a5, 0xeb699700),
TOBN(0xa3765801, 0xca26bca0), TOBN(0x57e09d0e, 0xa647f25a),
TOBN(0xb956970e, 0x2fdd23cc), TOBN(0xb80288bc, 0x5682e971),
TOBN(0xe6e6d91e, 0x9ae86ebc), TOBN(0x0564c83f, 0x8c9f1939),
TOBN(0x551932a2, 0x39560368), TOBN(0xe893752b, 0x049c28e2),
TOBN(0x0b03cee5, 0xa6a158c3), TOBN(0xe12d656b, 0x04964263),
TOBN(0x4b47554e, 0x63e3bc1d), TOBN(0xc719b6a2, 0x45044ff7),
TOBN(0x4f24d30a, 0xe48daa07), TOBN(0xa3f37556, 0xc8c1edc3),
TOBN(0x9a47bf76, 0x0700d360), TOBN(0xbb1a1824, 0x822ae4e2),
TOBN(0x22e275a3, 0x89f1fb4c), TOBN(0x72b1aa23, 0x9968c5f5),
TOBN(0xa75feaca, 0xbe063f64), TOBN(0x9b392f43, 0xbce47a09),
TOBN(0xd4241509, 0x1ad07aca), TOBN(0x4b0c591b, 0x8d26cd0f),
TOBN(0x2d42ddfd, 0x92f1169a), TOBN(0x63aeb1ac, 0x4cbf2392),
TOBN(0x1de9e877, 0x0691a2af), TOBN(0xebe79af7, 0xd98021da),
TOBN(0xcfdf2a4e, 0x40e50acf), TOBN(0xf0a98ad7, 0xaf01d665),
TOBN(0xefb640bf, 0x1831be1f), TOBN(0x6fe8bd2f, 0x80e9ada0),
TOBN(0x94c103a1, 0x6cafbc91), TOBN(0x170f8759, 0x8308e08c),
TOBN(0x5de2d2ab, 0x9780ff4f), TOBN(0x666466bc, 0x45b201f2),
TOBN(0x58af2010, 0xf5b343bc), TOBN(0x0f2e400a, 0xf2f142fe),
TOBN(0x3483bfde, 0xa85f4bdf), TOBN(0xf0b1d093, 0x03bfeaa9),
TOBN(0x2ea01b95, 0xc7081603), TOBN(0xe943e4c9, 0x3dba1097),
TOBN(0x47be92ad, 0xb438f3a6), TOBN(0x00bb7742, 0xe5bf6636),
TOBN(0x136b7083, 0x824297b4), TOBN(0x9d0e5580, 0x5584455f),
TOBN(0xab48cedc, 0xf1c7d69e), TOBN(0x53a9e481, 0x2a256e76),
TOBN(0x0402b0e0, 0x65eb2413), TOBN(0xdadbbb84, 0x8fc407a7),
TOBN(0xa65cd5a4, 0x8d7f5492), TOBN(0x21d44293, 0x74bae294),
TOBN(0x66917ce6, 0x3b5f1cc4), TOBN(0x37ae52ea, 0xce872e62),
TOBN(0xbb087b72, 0x2905f244), TOBN(0x12077086, 0x1e6af74f),
TOBN(0x4b644e49, 0x1058edea), TOBN(0x827510e3, 0xb638ca1d),
TOBN(0x8cf2b704, 0x6038591c), TOBN(0xffc8b47a, 0xfe635063),
TOBN(0x3ae220e6, 0x1b4d5e63), TOBN(0xbd864742, 0x9d961b4b),
TOBN(0x610c107e, 0x9bd16bed), TOBN(0x4270352a, 0x1127147b),
TOBN(0x7d17ffe6, 0x64cfc50e), TOBN(0x50dee01a, 0x1e36cb42),
TOBN(0x068a7622, 0x35dc5f9a), TOBN(0x9a08d536, 0xdf53f62c),
TOBN(0x4ed71457, 0x6be5f7de), TOBN(0xd93006f8, 0xc2263c9e),
TOBN(0xe073694c, 0xcacacb36), TOBN(0x2ff7a5b4, 0x3ae118ab),
TOBN(0x3cce53f1, 0xcd871236), TOBN(0xf156a39d, 0xc2aa6d52),
TOBN(0x9cc5f271, 0xb198d76d), TOBN(0xbc615b6f, 0x81383d39),
TOBN(0xa54538e8, 0xde3eee6b), TOBN(0x58c77538, 0xab910d91),
TOBN(0x31e5bdbc, 0x58d278bd), TOBN(0x3cde4adf, 0xb963acae),
TOBN(0xb1881fd2, 0x5302169c), TOBN(0x8ca60fa0, 0xa989ed8b),
TOBN(0xa1999458, 0xff96a0ee), TOBN(0xc1141f03, 0xac6c283d),
TOBN(0x7677408d, 0x6dfafed3), TOBN(0x33a01653, 0x39661588),
TOBN(0x3c9c15ec, 0x0b726fa0), TOBN(0x090cfd93, 0x6c9b56da),
TOBN(0xe34f4bae, 0xa3c40af5), TOBN(0x3469eadb, 0xd21129f1),
TOBN(0xcc51674a, 0x1e207ce8), TOBN(0x1e293b24, 0xc83b1ef9),
TOBN(0x17173d13, 0x1e6c0bb4), TOBN(0x19004695, 0x90776d35),
TOBN(0xe7980e34, 0x6de6f922), TOBN(0x873554cb, 0xf4dd9a22),
TOBN(0x0316c627, 0xcbf18a51), TOBN(0x4d93651b, 0x3032c081),
TOBN(0x207f2771, 0x3946834d), TOBN(0x2c08d7b4, 0x30cdbf80),
TOBN(0x137a4fb4, 0x86df2a61), TOBN(0xa1ed9c07, 0xecf7b4a2),
TOBN(0xb2e460e2, 0x7bd042ff), TOBN(0xb7f5e2fa, 0x5f62f5ec),
TOBN(0x7aa6ec6b, 0xcc2423b7), TOBN(0x75ce0a7f, 0xba63eea7),
TOBN(0x67a45fb1, 0xf250a6e1), TOBN(0x93bc919c, 0xe53cdc9f),
TOBN(0x9271f56f, 0x871942df), TOBN(0x2372ff6f, 0x7859ad66),
TOBN(0x5f4c2b96, 0x33cb1a78), TOBN(0xe3e29101, 0x5838aa83),
TOBN(0xa7ed1611, 0xe4e8110c), TOBN(0x2a2d70d5, 0x330198ce),
TOBN(0xbdf132e8, 0x6720efe0), TOBN(0xe61a8962, 0x66a471bf),
TOBN(0x796d3a85, 0x825808bd), TOBN(0x51dc3cb7, 0x3fd6e902),
TOBN(0x643c768a, 0x916219d1), TOBN(0x36cd7685, 0xa2ad7d32),
TOBN(0xe3db9d05, 0xb22922a4), TOBN(0x6494c87e, 0xdba29660),
TOBN(0xf0ac91df, 0xbcd2ebc7), TOBN(0x4deb57a0, 0x45107f8d),
TOBN(0x42271f59, 0xc3d12a73), TOBN(0x5f71687c, 0xa5c2c51d),
TOBN(0xcb1f50c6, 0x05797bcb), TOBN(0x29ed0ed9, 0xd6d34eb0),
TOBN(0xe5fe5b47, 0x4683c2eb), TOBN(0x4956eeb5, 0x97447c46),
TOBN(0x5b163a43, 0x71207167), TOBN(0x93fa2fed, 0x0248c5ef),
TOBN(0x67930af2, 0x31f63950), TOBN(0xa77797c1, 0x14caa2c9),
TOBN(0x526e80ee, 0x27ac7e62), TOBN(0xe1e6e626, 0x58b28aec),
TOBN(0x636178b0, 0xb3c9fef0), TOBN(0xaf7752e0, 0x6d5f90be),
TOBN(0x94ecaf18, 0xeece51cf), TOBN(0x2864d0ed, 0xca806e1f),
TOBN(0x6de2e383, 0x97c69134), TOBN(0x5a42c316, 0xeb291293),
TOBN(0xc7779219, 0x6a60bae0), TOBN(0xa24de346, 0x6b7599d1),
TOBN(0x49d374aa, 0xb75d4941), TOBN(0x98900586, 0x2d501ff0),
TOBN(0x9f16d40e, 0xeb7974cf), TOBN(0x1033860b, 0xcdd8c115),
TOBN(0xb6c69ac8, 0x2094cec3), TOBN(0x9976fb88, 0x403b770c),
TOBN(0x1dea026c, 0x4859590d), TOBN(0xb6acbb46, 0x8562d1fd),
TOBN(0x7cd6c461, 0x44569d85), TOBN(0xc3190a36, 0x97f0891d),
TOBN(0xc6f53195, 0x48d5a17d), TOBN(0x7d919966, 0xd749abc8),
TOBN(0x65104837, 0xdd1c8a20), TOBN(0x7e5410c8, 0x2f683419),
TOBN(0x958c3ca8, 0xbe94022e), TOBN(0x605c3197, 0x6145dac2),
TOBN(0x3fc07501, 0x01683d54), TOBN(0x1d7127c5, 0x595b1234),
TOBN(0x10b8f87c, 0x9481277f), TOBN(0x677db2a8, 0xe65a1adb),
TOBN(0xec2fccaa, 0xddce3345), TOBN(0x2a6811b7, 0x012a4350),
TOBN(0x96760ff1, 0xac598bdc), TOBN(0x054d652a, 0xd1bf4128),
TOBN(0x0a1151d4, 0x92a21005), TOBN(0xad7f3971, 0x33110fdf),
TOBN(0x8c95928c, 0x1960100f), TOBN(0x6c91c825, 0x7bf03362),
TOBN(0xc8c8b2a2, 0xce309f06), TOBN(0xfdb27b59, 0xca27204b),
TOBN(0xd223eaa5, 0x0848e32e), TOBN(0xb93e4b2e, 0xe7bfaf1e),
TOBN(0xc5308ae6, 0x44aa3ded), TOBN(0x317a666a, 0xc015d573),
TOBN(0xc888ce23, 0x1a979707), TOBN(0xf141c1e6, 0x0d5c4958),
TOBN(0xb53b7de5, 0x61906373), TOBN(0x858dbade, 0xeb999595),
TOBN(0x8cbb47b2, 0xa59e5c36), TOBN(0x660318b3, 0xdcf4e842),
TOBN(0xbd161ccd, 0x12ba4b7a), TOBN(0xf399daab, 0xf8c8282a),
TOBN(0x1587633a, 0xeeb2130d), TOBN(0xa465311a, 0xda38dd7d),
TOBN(0x5f75eec8, 0x64d3779b), TOBN(0x3c5d0476, 0xad64c171),
TOBN(0x87410371, 0x2a914428), TOBN(0x8096a891, 0x90e2fc29),
TOBN(0xd3d2ae9d, 0x23b3ebc2), TOBN(0x90bdd6db, 0xa580cfd6),
TOBN(0x52dbb7f3, 0xc5b01f6c), TOBN(0xe68eded4, 0xe102a2dc),
TOBN(0x17785b77, 0x99eb6df0), TOBN(0x26c3cc51, 0x7386b779),
TOBN(0x345ed988, 0x6417a48e), TOBN(0xe990b4e4, 0x07d6ef31),
TOBN(0x0f456b7e, 0x2586abba), TOBN(0x239ca6a5, 0x59c96e9a),
TOBN(0xe327459c, 0xe2eb4206), TOBN(0x3a4c3313, 0xa002b90a),
TOBN(0x2a114806, 0xf6a3f6fb), TOBN(0xad5cad2f, 0x85c251dd),
TOBN(0x92c1f613, 0xf5a784d3), TOBN(0xec7bfacf, 0x349766d5),
TOBN(0x04b3cd33, 0x3e23cb3b), TOBN(0x3979fe84, 0xc5a64b2d),
TOBN(0x192e2720, 0x7e589106), TOBN(0xa60c43d1, 0xa15b527f),
TOBN(0x2dae9082, 0xbe7cf3a6), TOBN(0xcc86ba92, 0xbc967274),
TOBN(0xf28a2ce8, 0xaea0a8a9), TOBN(0x404ca6d9, 0x6ee988b3),
TOBN(0xfd7e9c5d, 0x005921b8), TOBN(0xf56297f1, 0x44e79bf9),
TOBN(0xa163b460, 0x0d75ddc2), TOBN(0x30b23616, 0xa1f2be87),
TOBN(0x4b070d21, 0xbfe50e2b), TOBN(0x7ef8cfd0, 0xe1bfede1),
TOBN(0xadba0011, 0x2aac4ae0), TOBN(0x2a3e7d01, 0xb9ebd033),
TOBN(0x995277ec, 0xe38d9d1c), TOBN(0xb500249e, 0x9c5d2de3),
TOBN(0x8912b820, 0xf13ca8c9), TOBN(0xc8798114, 0x877793af),
TOBN(0x19e6125d, 0xec3f1dec), TOBN(0x07b1f040, 0x911178da),
TOBN(0xd93ededa, 0x904a6738), TOBN(0x55187a5a, 0x0bebedcd),
TOBN(0xf7d04722, 0xeb329d41), TOBN(0xf449099e, 0xf170b391),
TOBN(0xfd317a69, 0xca99f828), TOBN(0x50c3db2b, 0x34a4976d),
TOBN(0xe9ba7784, 0x3757b392), TOBN(0x326caefd, 0xaa3ca05a),
TOBN(0x78e5293b, 0xf1e593d4), TOBN(0x7842a937, 0x0d98fd13),
TOBN(0xe694bf96, 0x5f96b10d), TOBN(0x373a9df6, 0x06a8cd05),
TOBN(0x997d1e51, 0xe8f0c7fc), TOBN(0x1d019790, 0x63fd972e),
TOBN(0x0064d858, 0x5499fb32), TOBN(0x7b67bad9, 0x77a8aeb7),
TOBN(0x1d3eb977, 0x2d08eec5), TOBN(0x5fc047a6, 0xcbabae1d),
TOBN(0x0577d159, 0xe54a64bb), TOBN(0x8862201b, 0xc43497e4),
TOBN(0xad6b4e28, 0x2ce0608d), TOBN(0x8b687b7d, 0x0b167aac),
TOBN(0x6ed4d367, 0x8b2ecfa9), TOBN(0x24dfe62d, 0xa90c3c38),
TOBN(0xa1862e10, 0x3fe5c42b), TOBN(0x1ca73dca, 0xd5732a9f),
TOBN(0x35f038b7, 0x76bb87ad), TOBN(0x674976ab, 0xf242b81f),
TOBN(0x4f2bde7e, 0xb0fd90cd), TOBN(0x6efc172e, 0xa7fdf092),
TOBN(0x3806b69b, 0x92222f1f), TOBN(0x5a2459ca, 0x6cf7ae70),
TOBN(0x6789f69c, 0xa85217ee), TOBN(0x5f232b5e, 0xe3dc85ac),
TOBN(0x660e3ec5, 0x48e9e516), TOBN(0x124b4e47, 0x3197eb31),
TOBN(0x10a0cb13, 0xaafcca23), TOBN(0x7bd63ba4, 0x8213224f),
TOBN(0xaffad7cc, 0x290a7f4f), TOBN(0x6b409c9e, 0x0286b461),
TOBN(0x58ab809f, 0xffa407af), TOBN(0xc3122eed, 0xc68ac073),
TOBN(0x17bf9e50, 0x4ef24d7e), TOBN(0x5d929794, 0x3e2a5811),
TOBN(0x519bc867, 0x02902e01), TOBN(0x76bba5da, 0x39c8a851),
TOBN(0xe9f9669c, 0xda94951e), TOBN(0x4b6af58d, 0x66b8d418),
TOBN(0xfa321074, 0x17d426a4), TOBN(0xc78e66a9, 0x9dde6027),
TOBN(0x0516c083, 0x4a53b964), TOBN(0xfc659d38, 0xff602330),
TOBN(0x0ab55e5c, 0x58c5c897), TOBN(0x985099b2, 0x838bc5df),
TOBN(0x061d9efc, 0xc52fc238), TOBN(0x712b2728, 0x6ac1da3f),
TOBN(0xfb658149, 0x9283fe08), TOBN(0x4954ac94, 0xb8aaa2f7),
TOBN(0x85c0ada4, 0x7fb2e74f), TOBN(0xee8ba98e, 0xb89926b0),
TOBN(0xe4f9d37d, 0x23d1af5b), TOBN(0x14ccdbf9, 0xba9b015e),
TOBN(0xb674481b, 0x7bfe7178), TOBN(0x4e1debae, 0x65405868),
TOBN(0x061b2821, 0xc48c867d), TOBN(0x69c15b35, 0x513b30ea),
TOBN(0x3b4a1666, 0x36871088), TOBN(0xe5e29f5d, 0x1220b1ff),
TOBN(0x4b82bb35, 0x233d9f4d), TOBN(0x4e076333, 0x18cdc675)}
,
{TOBN(0x0d53f5c7, 0xa3e6fced), TOBN(0xe8cbbdd5, 0xf45fbdeb),
TOBN(0xf85c01df, 0x13339a70), TOBN(0x0ff71880, 0x142ceb81),
TOBN(0x4c4e8774, 0xbd70437a), TOBN(0x5fb32891, 0xba0bda6a),
TOBN(0x1cdbebd2, 0xf18bd26e), TOBN(0x2f9526f1, 0x03a9d522),
TOBN(0x40ce3051, 0x92c4d684), TOBN(0x8b04d725, 0x7612efcd),
TOBN(0xb9dcda36, 0x6f9cae20), TOBN(0x0edc4d24, 0xf058856c),
TOBN(0x64f2e6bf, 0x85427900), TOBN(0x3de81295, 0xdc09dfea),
TOBN(0xd41b4487, 0x379bf26c), TOBN(0x50b62c6d, 0x6df135a9),
TOBN(0xd4f8e3b4, 0xc72dfe67), TOBN(0xc416b0f6, 0x90e19fdf),
TOBN(0x18b9098d, 0x4c13bd35), TOBN(0xac11118a, 0x15b8cb9e),
TOBN(0xf598a318, 0xf0062841), TOBN(0xbfe0602f, 0x89f356f4),
TOBN(0x7ae3637e, 0x30177a0c), TOBN(0x34097747, 0x61136537),
TOBN(0x0db2fb5e, 0xd005832a), TOBN(0x5f5efd3b, 0x91042e4f),
TOBN(0x8c4ffdc6, 0xed70f8ca), TOBN(0xe4645d0b, 0xb52da9cc),
TOBN(0x9596f58b, 0xc9001d1f), TOBN(0x52c8f0bc, 0x4e117205),
TOBN(0xfd4aa0d2, 0xe398a084), TOBN(0x815bfe3a, 0x104f49de),
TOBN(0x97e5443f, 0x23885e5f), TOBN(0xf72f8f99, 0xe8433aab),
TOBN(0xbd00b154, 0xe4d4e604), TOBN(0xd0b35e6a, 0xe5e173ff),
TOBN(0x57b2a048, 0x9164722d), TOBN(0x3e3c665b, 0x88761ec8),
TOBN(0x6bdd1397, 0x3da83832), TOBN(0x3c8b1a1e, 0x73dafe3b),
TOBN(0x4497ace6, 0x54317cac), TOBN(0xbe600ab9, 0x521771b3),
TOBN(0xb42e409e, 0xb0dfe8b8), TOBN(0x386a67d7, 0x3942310f),
TOBN(0x25548d8d, 0x4431cc28), TOBN(0xa7cff142, 0x985dc524),
TOBN(0x4d60f5a1, 0x93c4be32), TOBN(0x83ebd5c8, 0xd071c6e1),
TOBN(0xba3a80a7, 0xb1fd2b0b), TOBN(0x9b3ad396, 0x5bec33e8),
TOBN(0xb3868d61, 0x79743fb3), TOBN(0xcfd169fc, 0xfdb462fa),
TOBN(0xd3b499d7, 0x9ce0a6af), TOBN(0x55dc1cf1, 0xe42d3ff8),
TOBN(0x04fb9e6c, 0xc6c3e1b2), TOBN(0x47e6961d, 0x6f69a474),
TOBN(0x54eb3acc, 0xe548b37b), TOBN(0xb38e7542, 0x84d40549),
TOBN(0x8c3daa51, 0x7b341b4f), TOBN(0x2f6928ec, 0x690bf7fa),
TOBN(0x0496b323, 0x86ce6c41), TOBN(0x01be1c55, 0x10adadcd),
TOBN(0xc04e67e7, 0x4bb5faf9), TOBN(0x3cbaf678, 0xe15c9985),
TOBN(0x8cd12145, 0x50ca4247), TOBN(0xba1aa47a, 0xe7dd30aa),
TOBN(0x2f81ddf1, 0xe58fee24), TOBN(0x03452936, 0xeec9b0e8),
TOBN(0x8bdc3b81, 0x243aea96), TOBN(0x9a2919af, 0x15c3d0e5),
TOBN(0x9ea640ec, 0x10948361), TOBN(0x5ac86d5b, 0x6e0bcccf),
TOBN(0xf892d918, 0xc36cf440), TOBN(0xaed3e837, 0xc939719c),
TOBN(0xb07b08d2, 0xc0218b64), TOBN(0x6f1bcbba, 0xce9790dd),
TOBN(0x4a84d6ed, 0x60919b8e), TOBN(0xd8900791, 0x8ac1f9eb),
TOBN(0xf84941aa, 0x0dd5daef), TOBN(0xb22fe40a, 0x67fd62c5),
TOBN(0x97e15ba2, 0x157f2db3), TOBN(0xbda2fc8f, 0x8e28ca9c),
TOBN(0x5d050da4, 0x37b9f454), TOBN(0x3d57eb57, 0x2379d72e),
TOBN(0xe9b5eba2, 0xfb5ee997), TOBN(0x01648ca2, 0xe11538ca),
TOBN(0x32bb76f6, 0xf6327974), TOBN(0x338f14b8, 0xff3f4bb7),
TOBN(0x524d226a, 0xd7ab9a2d), TOBN(0x9c00090d, 0x7dfae958),
TOBN(0x0ba5f539, 0x8751d8c2), TOBN(0x8afcbcdd, 0x3ab8262d),
TOBN(0x57392729, 0xe99d043b), TOBN(0xef51263b, 0xaebc943a),
TOBN(0x9feace93, 0x20862935), TOBN(0x639efc03, 0xb06c817b),
TOBN(0x1fe054b3, 0x66b4be7a), TOBN(0x3f25a9de, 0x84a37a1e),
TOBN(0xf39ef1ad, 0x78d75cd9), TOBN(0xd7b58f49, 0x5062c1b5),
TOBN(0x6f74f9a9, 0xff563436), TOBN(0xf718ff29, 0xe8af51e7),
TOBN(0x5234d313, 0x15e97fec), TOBN(0xb6a8e2b1, 0x292f1c0a),
TOBN(0xa7f53aa8, 0x327720c1), TOBN(0x956ca322, 0xba092cc8),
TOBN(0x8f03d64a, 0x28746c4d), TOBN(0x51fe1782, 0x66d0d392),
TOBN(0xd19b34db, 0x3c832c80), TOBN(0x60dccc5c, 0x6da2e3b4),
TOBN(0x245dd62e, 0x0a104ccc), TOBN(0xa7ab1de1, 0x620b21fd),
TOBN(0xb293ae0b, 0x3893d123), TOBN(0xf7b75783, 0xb15ee71c),
TOBN(0x5aa3c614, 0x42a9468b), TOBN(0xd686123c, 0xdb15d744),
TOBN(0x8c616891, 0xa7ab4116), TOBN(0x6fcd72c8, 0xa4e6a459),
TOBN(0xac219110, 0x77e5fad7), TOBN(0xfb6a20e7, 0x704fa46b),
TOBN(0xe839be7d, 0x341d81dc), TOBN(0xcddb6889, 0x32148379),
TOBN(0xda6211a1, 0xf7026ead), TOBN(0xf3b2575f, 0xf4d1cc5e),
TOBN(0x40cfc8f6, 0xa7a73ae6), TOBN(0x83879a5e, 0x61d5b483),
TOBN(0xc5acb1ed, 0x41a50ebc), TOBN(0x59a60cc8, 0x3c07d8fa),
TOBN(0x1b73bdce, 0xb1876262), TOBN(0x2b0d79f0, 0x12af4ee9),
TOBN(0x8bcf3b0b, 0xd46e1d07), TOBN(0x17d6af9d, 0xe45d152f),
TOBN(0x73520461, 0x6d736451), TOBN(0x43cbbd97, 0x56b0bf5a),
TOBN(0xb0833a5b, 0xd5999b9d), TOBN(0x702614f0, 0xeb72e398),
TOBN(0x0aadf01a, 0x59c3e9f8), TOBN(0x40200e77, 0xce6b3d16),
TOBN(0xda22bdd3, 0xdeddafad), TOBN(0x76dedaf4, 0x310d72e1),
TOBN(0x49ef807c, 0x4bc2e88f), TOBN(0x6ba81291, 0x146dd5a5),
TOBN(0xa1a4077a, 0x7d8d59e9), TOBN(0x87b6a2e7, 0x802db349),
TOBN(0xd5679997, 0x1b4e598e), TOBN(0xf499ef1f, 0x06fe4b1d),
TOBN(0x3978d3ae, 0xfcb267c5), TOBN(0xb582b557, 0x235786d0),
TOBN(0x32b3b2ca, 0x1715cb07), TOBN(0x4c3de6a2, 0x8480241d),
TOBN(0x63b5ffed, 0xcb571ecd), TOBN(0xeaf53900, 0xed2fe9a9),
TOBN(0xdec98d4a, 0xc3b81990), TOBN(0x1cb83722, 0x9e0cc8fe),
TOBN(0xfe0b0491, 0xd2b427b9), TOBN(0x0f2386ac, 0xe983a66c),
TOBN(0x930c4d1e, 0xb3291213), TOBN(0xa2f82b2e, 0x59a62ae4),
TOBN(0x77233853, 0xf93e89e3), TOBN(0x7f8063ac, 0x11777c7f),
TOBN(0xff0eb567, 0x59ad2877), TOBN(0x6f454642, 0x9865c754),
TOBN(0xe6fe701a, 0x236e9a84), TOBN(0xc586ef16, 0x06e40fc3),
TOBN(0x3f62b6e0, 0x24bafad9), TOBN(0xc8b42bd2, 0x64da906a),
TOBN(0xc98e1eb4, 0xda3276a0), TOBN(0x30d0e5fc, 0x06cbf852),
TOBN(0x1b6b2ae1, 0xe8b4dfd4), TOBN(0xd754d5c7, 0x8301cbac),
TOBN(0x66097629, 0x112a39ac), TOBN(0xf86b5999, 0x93ba4ab9),
TOBN(0x26c9dea7, 0x99f9d581), TOBN(0x0473b1a8, 0xc2fafeaa),
TOBN(0x1469af55, 0x3b2505a5), TOBN(0x227d16d7, 0xd6a43323),
TOBN(0x3316f73c, 0xad3d97f9), TOBN(0x52bf3bb5, 0x1f137455),
TOBN(0x953eafeb, 0x09954e7c), TOBN(0xa721dfed, 0xdd732411),
TOBN(0xb4929821, 0x141d4579), TOBN(0x3411321c, 0xaa3bd435),
TOBN(0xafb355aa, 0x17fa6015), TOBN(0xb4e7ef4a, 0x18e42f0e),
TOBN(0x604ac97c, 0x59371000), TOBN(0xe1c48c70, 0x7f759c18),
TOBN(0x3f62ecc5, 0xa5db6b65), TOBN(0x0a78b173, 0x38a21495),
TOBN(0x6be1819d, 0xbcc8ad94), TOBN(0x70dc04f6, 0xd89c3400),
TOBN(0x462557b4, 0xa6b4840a), TOBN(0x544c6ade, 0x60bd21c0),
TOBN(0x6a00f24e, 0x907a544b), TOBN(0xa7520dcb, 0x313da210),
TOBN(0xfe939b75, 0x11e4994b), TOBN(0x918b6ba6, 0xbc275d70),
TOBN(0xd3e5e0fc, 0x644be892), TOBN(0x707a9816, 0xfdaf6c42),
TOBN(0x60145567, 0xf15c13fe), TOBN(0x4818ebaa, 0xe130a54a),
TOBN(0x28aad3ad, 0x58d2f767), TOBN(0xdc5267fd, 0xd7e7c773),
TOBN(0x4919cc88, 0xc3afcc98), TOBN(0xaa2e6ab0, 0x2db8cd4b),
TOBN(0xd46fec04, 0xd0c63eaa), TOBN(0xa1cb92c5, 0x19ffa832),
TOBN(0x678dd178, 0xe43a631f), TOBN(0xfb5ae1cd, 0x3dc788b3),
TOBN(0x68b4fb90, 0x6e77de04), TOBN(0x7992bcf0, 0xf06dbb97),
TOBN(0x896e6a13, 0xc417c01d), TOBN(0x8d96332c, 0xb956be01),
TOBN(0x902fc93a, 0x413aa2b9), TOBN(0x99a4d915, 0xfc98c8a5),
TOBN(0x52c29407, 0x565f1137), TOBN(0x4072690f, 0x21e4f281),
TOBN(0x36e607cf, 0x02ff6072), TOBN(0xa47d2ca9, 0x8ad98cdc),
TOBN(0xbf471d1e, 0xf5f56609), TOBN(0xbcf86623, 0xf264ada0),
TOBN(0xb70c0687, 0xaa9e5cb6), TOBN(0xc98124f2, 0x17401c6c),
TOBN(0x8189635f, 0xd4a61435), TOBN(0xd28fb8af, 0xa9d98ea6),
TOBN(0xb9a67c2a, 0x40c251f8), TOBN(0x88cd5d87, 0xa2da44be),
TOBN(0x437deb96, 0xe09b5423), TOBN(0x150467db, 0x64287dc1),
TOBN(0xe161debb, 0xcdabb839), TOBN(0xa79e9742, 0xf1839a3e),
TOBN(0xbb8dd3c2, 0x652d202b), TOBN(0x7b3e67f7, 0xe9f97d96),
TOBN(0x5aa5d78f, 0xb1cb6ac9), TOBN(0xffa13e8e, 0xca1d0d45),
TOBN(0x369295dd, 0x2ba5bf95), TOBN(0xd68bd1f8, 0x39aff05e),
TOBN(0xaf0d86f9, 0x26d783f2), TOBN(0x543a59b3, 0xfc3aafc1),
TOBN(0x3fcf81d2, 0x7b7da97c), TOBN(0xc990a056, 0xd25dee46),
TOBN(0x3e6775b8, 0x519cce2c), TOBN(0xfc9af71f, 0xae13d863),
TOBN(0x774a4a6f, 0x47c1605c), TOBN(0x46ba4245, 0x2fd205e8),
TOBN(0xa06feea4, 0xd3fd524d), TOBN(0x1e724641, 0x6de1acc2),
TOBN(0xf53816f1, 0x334e2b42), TOBN(0x49e5918e, 0x922f0024),
TOBN(0x439530b6, 0x65c7322d), TOBN(0xcf12cc01, 0xb3c1b3fb),
TOBN(0xc70b0186, 0x0172f685), TOBN(0xb915ee22, 0x1b58391d),
TOBN(0x9afdf03b, 0xa317db24), TOBN(0x87dec659, 0x17b8ffc4),
TOBN(0x7f46597b, 0xe4d3d050), TOBN(0x80a1c1ed, 0x006500e7),
TOBN(0x84902a96, 0x78bf030e), TOBN(0xfb5e9c9a, 0x50560148),
TOBN(0x6dae0a92, 0x63362426), TOBN(0xdcaeecf4, 0xa9e30c40),
TOBN(0xc0d887bb, 0x518d0c6b), TOBN(0x99181152, 0xcb985b9d),
TOBN(0xad186898, 0xef7bc381), TOBN(0x18168ffb, 0x9ee46201),
TOBN(0x9a04cdaa, 0x2502753c), TOBN(0xbb279e26, 0x51407c41),
TOBN(0xeacb03aa, 0xf23564e5), TOBN(0x18336582, 0x71e61016),
TOBN(0x8684b8c4, 0xeb809877), TOBN(0xb336e18d, 0xea0e672e),
TOBN(0xefb601f0, 0x34ee5867), TOBN(0x2733edbe, 0x1341cfd1),
TOBN(0xb15e809a, 0x26025c3c), TOBN(0xe6e981a6, 0x9350df88),
TOBN(0x92376237, 0x8502fd8e), TOBN(0x4791f216, 0x0c12be9b),
TOBN(0xb7256789, 0x25f02425), TOBN(0xec863194, 0x7a974443),
TOBN(0x7c0ce882, 0xfb41cc52), TOBN(0xc266ff7e, 0xf25c07f2),
TOBN(0x3d4da8c3, 0x017025f3), TOBN(0xefcf628c, 0xfb9579b4),
TOBN(0x5c4d0016, 0x1f3716ec), TOBN(0x9c27ebc4, 0x6801116e),
TOBN(0x5eba0ea1, 0x1da1767e), TOBN(0xfe151452, 0x47004c57),
TOBN(0x3ace6df6, 0x8c2373b7), TOBN(0x75c3dffe, 0x5dbc37ac),
TOBN(0x3dc32a73, 0xddc925fc), TOBN(0xb679c841, 0x2f65ee0b),
TOBN(0x715a3295, 0x451cbfeb), TOBN(0xd9889768, 0xf76e9a29),
TOBN(0xec20ce7f, 0xb28ad247), TOBN(0xe99146c4, 0x00894d79),
TOBN(0x71457d7c, 0x9f5e3ea7), TOBN(0x097b2662, 0x38030031),
TOBN(0xdb7f6ae6, 0xcf9f82a8), TOBN(0x319decb9, 0x438f473a),
TOBN(0xa63ab386, 0x283856c3), TOBN(0x13e3172f, 0xb06a361b),
TOBN(0x2959f8dc, 0x7d5a006c), TOBN(0x2dbc27c6, 0x75fba752),
TOBN(0xc1227ab2, 0x87c22c9e), TOBN(0x06f61f75, 0x71a268b2),
TOBN(0x1b6bb971, 0x04779ce2), TOBN(0xaca83812, 0x0aadcb1d),
TOBN(0x297ae0bc, 0xaeaab2d5), TOBN(0xa5c14ee7, 0x5bfb9f13),
TOBN(0xaa00c583, 0xf17a62c7), TOBN(0x39eb962c, 0x173759f6),
TOBN(0x1eeba1d4, 0x86c9a88f), TOBN(0x0ab6c37a, 0xdf016c5e),
TOBN(0xa2a147db, 0xa28a0749), TOBN(0x246c20d6, 0xee519165),
TOBN(0x5068d1b1, 0xd3810715), TOBN(0xb1e7018c, 0x748160b9),
TOBN(0x03f5b1fa, 0xf380ff62), TOBN(0xef7fb1dd, 0xf3cb2c1e),
TOBN(0xeab539a8, 0xfc91a7da), TOBN(0x83ddb707, 0xf3f9b561),
TOBN(0xc550e211, 0xfe7df7a4), TOBN(0xa7cd07f2, 0x063f6f40),
TOBN(0xb0de3635, 0x2976879c), TOBN(0xb5f83f85, 0xe55741da),
TOBN(0x4ea9d25e, 0xf3d8ac3d), TOBN(0x6fe2066f, 0x62819f02),
TOBN(0x4ab2b9c2, 0xcef4a564), TOBN(0x1e155d96, 0x5ffa2de3),
TOBN(0x0eb0a19b, 0xc3a72d00), TOBN(0x4037665b, 0x8513c31b),
TOBN(0x2fb2b6bf, 0x04c64637), TOBN(0x45c34d6e, 0x08cdc639),
TOBN(0x56f1e10f, 0xf01fd796), TOBN(0x4dfb8101, 0xfe3667b8),
TOBN(0xe0eda253, 0x9021d0c0), TOBN(0x7a94e9ff, 0x8a06c6ab),
TOBN(0x2d3bb0d9, 0xbb9aa882), TOBN(0xea20e4e5, 0xec05fd10),
TOBN(0xed7eeb5f, 0x1a1ca64e), TOBN(0x2fa6b43c, 0xc6327cbd),
TOBN(0xb577e3cf, 0x3aa91121), TOBN(0x8c6bd5ea, 0x3a34079b),
TOBN(0xd7e5ba39, 0x60e02fc0), TOBN(0xf16dd2c3, 0x90141bf8),
TOBN(0xb57276d9, 0x80101b98), TOBN(0x760883fd, 0xb82f0f66),
TOBN(0x89d7de75, 0x4bc3eff3), TOBN(0x03b60643, 0x5dc2ab40),
TOBN(0xcd6e53df, 0xe05beeac), TOBN(0xf2f1e862, 0xbc3325cd),
TOBN(0xdd0f7921, 0x774f03c3), TOBN(0x97ca7221, 0x4552cc1b),
TOBN(0x5a0d6afe, 0x1cd19f72), TOBN(0xa20915dc, 0xf183fbeb),
TOBN(0x9fda4b40, 0x832c403c), TOBN(0x32738edd, 0xbe425442),
TOBN(0x469a1df6, 0xb5eccf1a), TOBN(0x4b5aff42, 0x28bbe1f0),
TOBN(0x31359d7f, 0x570dfc93), TOBN(0xa18be235, 0xf0088628),
TOBN(0xa5b30fba, 0xb00ed3a9), TOBN(0x34c61374, 0x73cdf8be),
TOBN(0x2c5c5f46, 0xabc56797), TOBN(0x5cecf93d, 0xb82a8ae2),
TOBN(0x7d3dbe41, 0xa968fbf0), TOBN(0xd23d4583, 0x1a5c7f3d),
TOBN(0xf28f69a0, 0xc087a9c7), TOBN(0xc2d75471, 0x474471ca),
TOBN(0x36ec9f4a, 0x4eb732ec), TOBN(0x6c943bbd, 0xb1ca6bed),
TOBN(0xd64535e1, 0xf2457892), TOBN(0x8b84a8ea, 0xf7e2ac06),
TOBN(0xe0936cd3, 0x2499dd5f), TOBN(0x12053d7e, 0x0ed04e57),
TOBN(0x4bdd0076, 0xe4305d9d), TOBN(0x34a527b9, 0x1f67f0a2),
TOBN(0xe79a4af0, 0x9cec46ea), TOBN(0xb15347a1, 0x658b9bc7),
TOBN(0x6bd2796f, 0x35af2f75), TOBN(0xac957990, 0x4051c435),
TOBN(0x2669dda3, 0xc33a655d), TOBN(0x5d503c2e, 0x88514aa3),
TOBN(0xdfa11337, 0x3753dd41), TOBN(0x3f054673, 0x0b754f78),
TOBN(0xbf185677, 0x496125bd), TOBN(0xfb0023c8, 0x3775006c),
TOBN(0xfa0f072f, 0x3a037899), TOBN(0x4222b6eb, 0x0e4aea57),
TOBN(0x3dde5e76, 0x7866d25a), TOBN(0xb6eb04f8, 0x4837aa6f),
TOBN(0x5315591a, 0x2cf1cdb8), TOBN(0x6dfb4f41, 0x2d4e683c),
TOBN(0x7e923ea4, 0x48ee1f3a), TOBN(0x9604d9f7, 0x05a2afd5),
TOBN(0xbe1d4a33, 0x40ea4948), TOBN(0x5b45f1f4, 0xb44cbd2f),
TOBN(0x5faf8376, 0x4acc757e), TOBN(0xa7cf9ab8, 0x63d68ff7),
TOBN(0x8ad62f69, 0xdf0e404b), TOBN(0xd65f33c2, 0x12bdafdf),
TOBN(0xc365de15, 0xa377b14e), TOBN(0x6bf5463b, 0x8e39f60c),
TOBN(0x62030d2d, 0x2ce68148), TOBN(0xd95867ef, 0xe6f843a8),
TOBN(0xd39a0244, 0xef5ab017), TOBN(0x0bd2d8c1, 0x4ab55d12),
TOBN(0xc9503db3, 0x41639169), TOBN(0x2d4e25b0, 0xf7660c8a),
TOBN(0x760cb3b5, 0xe224c5d7), TOBN(0xfa3baf8c, 0x68616919),
TOBN(0x9fbca113, 0x8d142552), TOBN(0x1ab18bf1, 0x7669ebf5),
TOBN(0x55e6f53e, 0x9bdf25dd), TOBN(0x04cc0bf3, 0xcb6cd154),
TOBN(0x595bef49, 0x95e89080), TOBN(0xfe9459a8, 0x104a9ac1),
TOBN(0xad2d89ca, 0xcce9bb32), TOBN(0xddea65e1, 0xf7de8285),
TOBN(0x62ed8c35, 0xb351bd4b), TOBN(0x4150ff36, 0x0c0e19a7),
TOBN(0x86e3c801, 0x345f4e47), TOBN(0x3bf21f71, 0x203a266c),
TOBN(0x7ae110d4, 0x855b1f13), TOBN(0x5d6aaf6a, 0x07262517),
TOBN(0x1e0f12e1, 0x813d28f1), TOBN(0x6000e11d, 0x7ad7a523),
TOBN(0xc7d8deef, 0xc744a17b), TOBN(0x1e990b48, 0x14c05a00),
TOBN(0x68fddaee, 0x93e976d5), TOBN(0x696241d1, 0x46610d63),
TOBN(0xb204e7c3, 0x893dda88), TOBN(0x8bccfa65, 0x6a3a6946),
TOBN(0xb59425b4, 0xc5cd1411), TOBN(0x701b4042, 0xff3658b1),
TOBN(0xe3e56bca, 0x4784cf93), TOBN(0x27de5f15, 0x8fe68d60),
TOBN(0x4ab9cfce, 0xf8d53f19), TOBN(0xddb10311, 0xa40a730d),
TOBN(0x6fa73cd1, 0x4eee0a8a), TOBN(0xfd548748, 0x5249719d),
TOBN(0x49d66316, 0xa8123ef0), TOBN(0x73c32db4, 0xe7f95438),
TOBN(0x2e2ed209, 0x0d9e7854), TOBN(0xf98a9329, 0x9d9f0507),
TOBN(0xc5d33cf6, 0x0c6aa20a), TOBN(0x9a32ba14, 0x75279bb2),
TOBN(0x7e3202cb, 0x774a7307), TOBN(0x64ed4bc4, 0xe8c42dbd),
TOBN(0xc20f1a06, 0xd4caed0d), TOBN(0xb8021407, 0x171d22b3),
TOBN(0xd426ca04, 0xd13268d7), TOBN(0x92377007, 0x25f4d126),
TOBN(0x4204cbc3, 0x71f21a85), TOBN(0x18461b7a, 0xf82369ba),
TOBN(0xc0c07d31, 0x3fc858f9), TOBN(0x5deb5a50, 0xe2bab569),
TOBN(0xd5959d46, 0xd5eea89e), TOBN(0xfdff8424, 0x08437f4b),
TOBN(0xf21071e4, 0x3cfe254f), TOBN(0x72417696, 0x95468321),
TOBN(0x5d8288b9, 0x102cae3e), TOBN(0x2d143e3d, 0xf1965dff),
TOBN(0x00c9a376, 0xa078d847), TOBN(0x6fc0da31, 0x26028731),
TOBN(0xa2baeadf, 0xe45083a2), TOBN(0x66bc7218, 0x5e5b4bcd),
TOBN(0x2c826442, 0xd04b8e7f), TOBN(0xc19f5451, 0x6c4b586b),
TOBN(0x60182c49, 0x5b7eeed5), TOBN(0xd9954ecd, 0x7aa9dfa1),
TOBN(0xa403a8ec, 0xc73884ad), TOBN(0x7fb17de2, 0x9bb39041),
TOBN(0x694b64c5, 0xabb020e8), TOBN(0x3d18c184, 0x19c4eec7),
TOBN(0x9c4673ef, 0x1c4793e5), TOBN(0xc7b8aeb5, 0x056092e6),
TOBN(0x3aa1ca43, 0xf0f8c16b), TOBN(0x224ed5ec, 0xd679b2f6),
TOBN(0x0d56eeaf, 0x55a205c9), TOBN(0xbfe115ba, 0x4b8e028b),
TOBN(0x97e60849, 0x3927f4fe), TOBN(0xf91fbf94, 0x759aa7c5),
TOBN(0x985af769, 0x6be90a51), TOBN(0xc1277b78, 0x78ccb823),
TOBN(0x395b656e, 0xe7a75952), TOBN(0x00df7de0, 0x928da5f5),
TOBN(0x09c23175, 0x4ca4454f), TOBN(0x4ec971f4, 0x7aa2d3c1),
TOBN(0x45c3c507, 0xe75d9ccc), TOBN(0x63b7be8a, 0x3dc90306),
TOBN(0x37e09c66, 0x5db44bdc), TOBN(0x50d60da1, 0x6841c6a2),
TOBN(0x6f9b65ee, 0x08df1b12), TOBN(0x38734879, 0x7ff089df),
TOBN(0x9c331a66, 0x3fe8013d), TOBN(0x017f5de9, 0x5f42fcc8),
TOBN(0x43077866, 0xe8e57567), TOBN(0xc9f781ce, 0xf9fcdb18),
TOBN(0x38131dda, 0x9b12e174), TOBN(0x25d84aa3, 0x8a03752a),
TOBN(0x45e09e09, 0x4d0c0ce2), TOBN(0x1564008b, 0x92bebba5),
TOBN(0xf7e8ad31, 0xa87284c7), TOBN(0xb7c4b46c, 0x97e7bbaa),
TOBN(0x3e22a7b3, 0x97acf4ec), TOBN(0x0426c400, 0x5ea8b640),
TOBN(0x5e3295a6, 0x4e969285), TOBN(0x22aabc59, 0xa6a45670),
TOBN(0xb929714c, 0x5f5942bc), TOBN(0x9a6168bd, 0xfa3182ed),
TOBN(0x2216a665, 0x104152ba), TOBN(0x46908d03, 0xb6926368)}
,
{TOBN(0xa9f5d874, 0x5a1251fb), TOBN(0x967747a8, 0xc72725c7),
TOBN(0x195c33e5, 0x31ffe89e), TOBN(0x609d210f, 0xe964935e),
TOBN(0xcafd6ca8, 0x2fe12227), TOBN(0xaf9b5b96, 0x0426469d),
TOBN(0x2e9ee04c, 0x5693183c), TOBN(0x1084a333, 0xc8146fef),
TOBN(0x96649933, 0xaed1d1f7), TOBN(0x566eaff3, 0x50563090),
TOBN(0x345057f0, 0xad2e39cf), TOBN(0x148ff65b, 0x1f832124),
TOBN(0x042e89d4, 0xcf94cf0d), TOBN(0x319bec84, 0x520c58b3),
TOBN(0x2a267626, 0x5361aa0d), TOBN(0xc86fa302, 0x8fbc87ad),
TOBN(0xfc83d2ab, 0x5c8b06d5), TOBN(0xb1a785a2, 0xfe4eac46),
TOBN(0xb99315bc, 0x846f7779), TOBN(0xcf31d816, 0xef9ea505),
TOBN(0x2391fe6a, 0x15d7dc85), TOBN(0x2f132b04, 0xb4016b33),
TOBN(0x29547fe3, 0x181cb4c7), TOBN(0xdb66d8a6, 0x650155a1),
TOBN(0x6b66d7e1, 0xadc1696f), TOBN(0x98ebe593, 0x0acd72d0),
TOBN(0x65f24550, 0xcc1b7435), TOBN(0xce231393, 0xb4b9a5ec),
TOBN(0x234a22d4, 0xdb067df9), TOBN(0x98dda095, 0xcaff9b00),
TOBN(0x1bbc75a0, 0x6100c9c1), TOBN(0x1560a9c8, 0x939cf695),
TOBN(0xcf006d3e, 0x99e0925f), TOBN(0x2dd74a96, 0x6322375a),
TOBN(0xc58b446a, 0xb56af5ba), TOBN(0x50292683, 0xe0b9b4f1),
TOBN(0xe2c34cb4, 0x1aeaffa3), TOBN(0x8b17203f, 0x9b9587c1),
TOBN(0x6d559207, 0xead1350c), TOBN(0x2b66a215, 0xfb7f9604),
TOBN(0x0850325e, 0xfe51bf74), TOBN(0x9c4f579e, 0x5e460094),
TOBN(0x5c87b92a, 0x76da2f25), TOBN(0x889de4e0, 0x6febef33),
TOBN(0x6900ec06, 0x646083ce), TOBN(0xbe2a0335, 0xbfe12773),
TOBN(0xadd1da35, 0xc5344110), TOBN(0x757568b7, 0xb802cd20),
TOBN(0x75559779, 0x00f7e6c8), TOBN(0x38e8b94f, 0x0facd2f0),
TOBN(0xfea1f3af, 0x03fde375), TOBN(0x5e11a1d8, 0x75881dfc),
TOBN(0xb3a6b02e, 0xc1e2f2ef), TOBN(0x193d2bbb, 0xc605a6c5),
TOBN(0x325ffeee, 0x339a0b2d), TOBN(0x27b6a724, 0x9e0c8846),
TOBN(0xe4050f1c, 0xf1c367ca), TOBN(0x9bc85a9b, 0xc90fbc7d),
TOBN(0xa373c4a2, 0xe1a11032), TOBN(0xb64232b7, 0xad0393a9),
TOBN(0xf5577eb0, 0x167dad29), TOBN(0x1604f301, 0x94b78ab2),
TOBN(0x0baa94af, 0xe829348b), TOBN(0x77fbd8dd, 0x41654342),
TOBN(0xdab50ea5, 0xb964e39a), TOBN(0xd4c29e3c, 0xd0d3c76e),
TOBN(0x80dae67c, 0x56d11964), TOBN(0x7307a8bf, 0xe5ffcc2f),
TOBN(0x65bbc1aa, 0x91708c3b), TOBN(0xa151e62c, 0x28bf0eeb),
TOBN(0x6cb53381, 0x6fa34db7), TOBN(0x5139e05c, 0xa29403a8),
TOBN(0x6ff651b4, 0x94a7cd2e), TOBN(0x5671ffd1, 0x0699336c),
TOBN(0x6f5fd2cc, 0x979a896a), TOBN(0x11e893a8, 0xd8148cef),
TOBN(0x988906a1, 0x65cf7b10), TOBN(0x81b67178, 0xc50d8485),
TOBN(0x7c0deb35, 0x8a35b3de), TOBN(0x423ac855, 0xc1d29799),
TOBN(0xaf580d87, 0xdac50b74), TOBN(0x28b2b89f, 0x5869734c),
TOBN(0x99a3b936, 0x874e28fb), TOBN(0xbb2c9190, 0x25f3f73a),
TOBN(0x199f6918, 0x84a9d5b7), TOBN(0x7ebe2325, 0x7e770374),
TOBN(0xf442e107, 0x0738efe2), TOBN(0xcf9f3f56, 0xcf9082d2),
TOBN(0x719f69e1, 0x09618708), TOBN(0xcc9e8364, 0xc183f9b1),
TOBN(0xec203a95, 0x366a21af), TOBN(0x6aec5d6d, 0x068b141f),
TOBN(0xee2df78a, 0x994f04e9), TOBN(0xb39ccae8, 0x271245b0),
TOBN(0xb875a4a9, 0x97e43f4f), TOBN(0x507dfe11, 0xdb2cea98),
TOBN(0x4fbf81cb, 0x489b03e9), TOBN(0xdb86ec5b, 0x6ec414fa),
TOBN(0xfad444f9, 0xf51b3ae5), TOBN(0xca7d33d6, 0x1914e3fe),
TOBN(0xa9c32f5c, 0x0ae6c4d0), TOBN(0xa9ca1d1e, 0x73969568),
TOBN(0x98043c31, 0x1aa7467e), TOBN(0xe832e75c, 0xe21b5ac6),
TOBN(0x314b7aea, 0x5232123d), TOBN(0x08307c8c, 0x65ae86db),
TOBN(0x06e7165c, 0xaa4668ed), TOBN(0xb170458b, 0xb4d3ec39),
TOBN(0x4d2e3ec6, 0xc19bb986), TOBN(0xc5f34846, 0xae0304ed),
TOBN(0x917695a0, 0x6c9f9722), TOBN(0x6c7f7317, 0x4cab1c0a),
TOBN(0x6295940e, 0x9d6d2e8b), TOBN(0xd318b8c1, 0x549f7c97),
TOBN(0x22453204, 0x97713885), TOBN(0x468d834b, 0xa8a440fe),
TOBN(0xd81fe5b2, 0xbfba796e), TOBN(0x152364db, 0x6d71f116),
TOBN(0xbb8c7c59, 0xb5b66e53), TOBN(0x0b12c61b, 0x2641a192),
TOBN(0x31f14802, 0xfcf0a7fd), TOBN(0x42fd0789, 0x5488b01e),
TOBN(0x71d78d6d, 0x9952b498), TOBN(0x8eb572d9, 0x07ac5201),
TOBN(0xe0a2a44c, 0x4d194a88), TOBN(0xd2b63fd9, 0xba017e66),
TOBN(0x78efc6c8, 0xf888aefc), TOBN(0xb76f6bda, 0x4a881a11),
TOBN(0x187f314b, 0xb46c2397), TOBN(0x004cf566, 0x5ded2819),
TOBN(0xa9ea5704, 0x38764d34), TOBN(0xbba45217, 0x78084709),
TOBN(0x06474571, 0x1171121e), TOBN(0xad7b7eb1, 0xe7c9b671),
TOBN(0xdacfbc40, 0x730f7507), TOBN(0x178cd8c6, 0xc7ad7bd1),
TOBN(0xbf0be101, 0xb2a67238), TOBN(0x3556d367, 0xaf9c14f2),
TOBN(0x104b7831, 0xa5662075), TOBN(0x58ca59bb, 0x79d9e60a),
TOBN(0x4bc45392, 0xa569a73b), TOBN(0x517a52e8, 0x5698f6c9),
TOBN(0x85643da5, 0xaeadd755), TOBN(0x1aed0cd5, 0x2a581b84),
TOBN(0xb9b4ff84, 0x80af1372), TOBN(0x244c3113, 0xf1ba5d1f),
TOBN(0x2a5dacbe, 0xf5f98d31), TOBN(0x2c3323e8, 0x4375bc2a),
TOBN(0x17a3ab4a, 0x5594b1dd), TOBN(0xa1928bfb, 0xceb4797e),
TOBN(0xe83af245, 0xe4886a19), TOBN(0x8979d546, 0x72b5a74a),
TOBN(0xa0f726bc, 0x19f9e967), TOBN(0xd9d03152, 0xe8fbbf4e),
TOBN(0xcfd6f51d, 0xb7707d40), TOBN(0x633084d9, 0x63f6e6e0),
TOBN(0xedcd9cdc, 0x55667eaf), TOBN(0x73b7f92b, 0x2e44d56f),
TOBN(0xfb2e39b6, 0x4e962b14), TOBN(0x7d408f6e, 0xf671fcbf),
TOBN(0xcc634ddc, 0x164a89bb), TOBN(0x74a42bb2, 0x3ef3bd05),
TOBN(0x1280dbb2, 0x428decbb), TOBN(0x6103f6bb, 0x402c8596),
TOBN(0xfa2bf581, 0x355a5752), TOBN(0x562f96a8, 0x00946674),
TOBN(0x4e4ca16d, 0x6da0223b), TOBN(0xfe47819f, 0x28d3aa25),
TOBN(0x9eea3075, 0xf8dfcf8a), TOBN(0xa284f0aa, 0x95669825),
TOBN(0xb3fca250, 0x867d3fd8), TOBN(0x20757b5f, 0x269d691e),
TOBN(0xf2c24020, 0x93b8a5de), TOBN(0xd3f93359, 0xebc06da6),
TOBN(0x1178293e, 0xb2739c33), TOBN(0xd2a3e770, 0xbcd686e5),
TOBN(0xa76f49f4, 0xcd941534), TOBN(0x0d37406b, 0xe3c71c0e),
TOBN(0x172d9397, 0x3b97f7e3), TOBN(0xec17e239, 0xbd7fd0de),
TOBN(0xe3290551, 0x6f496ba2), TOBN(0x6a693172, 0x36ad50e7),
TOBN(0xc4e539a2, 0x83e7eff5), TOBN(0x752737e7, 0x18e1b4cf),
TOBN(0xa2f7932c, 0x68af43ee), TOBN(0x5502468e, 0x703d00bd),
TOBN(0xe5dc978f, 0x2fb061f5), TOBN(0xc9a1904a, 0x28c815ad),
TOBN(0xd3af538d, 0x470c56a4), TOBN(0x159abc5f, 0x193d8ced),
TOBN(0x2a37245f, 0x20108ef3), TOBN(0xfa17081e, 0x223f7178),
TOBN(0x27b0fb2b, 0x10c8c0f5), TOBN(0x2102c3ea, 0x40650547),
TOBN(0x594564df, 0x8ac3bfa7), TOBN(0x98102033, 0x509dad96),
TOBN(0x6989643f, 0xf1d18a13), TOBN(0x35eebd91, 0xd7fc5af0),
TOBN(0x078d096a, 0xfaeaafd8), TOBN(0xb7a89341, 0xdef3de98),
TOBN(0x2a206e8d, 0xecf2a73a), TOBN(0x066a6397, 0x8e551994),
TOBN(0x3a6a088a, 0xb98d53a2), TOBN(0x0ce7c67c, 0x2d1124aa),
TOBN(0x48cec671, 0x759a113c), TOBN(0xe3b373d3, 0x4f6f67fa),
TOBN(0x5455d479, 0xfd36727b), TOBN(0xe5a428ee, 0xa13c0d81),
TOBN(0xb853dbc8, 0x1c86682b), TOBN(0xb78d2727, 0xb8d02b2a),
TOBN(0xaaf69bed, 0x8ebc329a), TOBN(0xdb6b40b3, 0x293b2148),
TOBN(0xe42ea77d, 0xb8c4961f), TOBN(0xb1a12f7c, 0x20e5e0ab),
TOBN(0xa0ec5274, 0x79e8b05e), TOBN(0x68027391, 0xfab60a80),
TOBN(0x6bfeea5f, 0x16b1bd5e), TOBN(0xf957e420, 0x4de30ad3),
TOBN(0xcbaf664e, 0x6a353b9e), TOBN(0x5c873312, 0x26d14feb),
TOBN(0x4e87f98c, 0xb65f57cb), TOBN(0xdb60a621, 0x5e0cdd41),
TOBN(0x67c16865, 0xa6881440), TOBN(0x1093ef1a, 0x46ab52aa),
TOBN(0xc095afb5, 0x3f4ece64), TOBN(0x6a6bb02e, 0x7604551a),
TOBN(0x55d44b4e, 0x0b26b8cd), TOBN(0xe5f9a999, 0xf971268a),
TOBN(0xc08ec425, 0x11a7de84), TOBN(0x83568095, 0xfda469dd),
TOBN(0x737bfba1, 0x6c6c90a2), TOBN(0x1cb9c4a0, 0xbe229831),
TOBN(0x93bccbba, 0xbb2eec64), TOBN(0xa0c23b64, 0xda03adbe),
TOBN(0x5f7aa00a, 0xe0e86ac4), TOBN(0x470b941e, 0xfc1401e6),
TOBN(0x5ad8d679, 0x9df43574), TOBN(0x4ccfb8a9, 0x0f65d810),
TOBN(0x1bce80e3, 0xaa7fbd81), TOBN(0x273291ad, 0x9508d20a),
TOBN(0xf5c4b46b, 0x42a92806), TOBN(0x810684ec, 0xa86ab44a),
TOBN(0x4591640b, 0xca0bc9f8), TOBN(0xb5efcdfc, 0x5c4b6054),
TOBN(0x16fc8907, 0x6e9edd12), TOBN(0xe29d0b50, 0xd4d792f9),
TOBN(0xa45fd01c, 0x9b03116d), TOBN(0x85035235, 0xc81765a4),
TOBN(0x1fe2a9b2, 0xb4b4b67c), TOBN(0xc1d10df0, 0xe8020604),
TOBN(0x9d64abfc, 0xbc8058d8), TOBN(0x8943b9b2, 0x712a0fbb),
TOBN(0x90eed914, 0x3b3def04), TOBN(0x85ab3aa2, 0x4ce775ff),
TOBN(0x605fd4ca, 0x7bbc9040), TOBN(0x8b34a564, 0xe2c75dfb),
TOBN(0x41ffc94a, 0x10358560), TOBN(0x2d8a5072, 0x9e5c28aa),
TOBN(0xe915a0fc, 0x4cc7eb15), TOBN(0xe9efab05, 0x8f6d0f5d),
TOBN(0xdbab47a9, 0xd19e9b91), TOBN(0x8cfed745, 0x0276154c),
TOBN(0x154357ae, 0x2cfede0d), TOBN(0x520630df, 0x19f5a4ef),
TOBN(0x25759f7c, 0xe382360f), TOBN(0xb6db05c9, 0x88bf5857),
TOBN(0x2917d61d, 0x6c58d46c), TOBN(0x14f8e491, 0xfd20cb7a),
TOBN(0xb68a727a, 0x11c20340), TOBN(0x0386f86f, 0xaf7ccbb6),
TOBN(0x5c8bc6cc, 0xfee09a20), TOBN(0x7d76ff4a, 0xbb7eea35),
TOBN(0xa7bdebe7, 0xdb15be7a), TOBN(0x67a08054, 0xd89f0302),
TOBN(0x56bf0ea9, 0xc1193364), TOBN(0xc8244467, 0x62837ebe),
TOBN(0x32bd8e8b, 0x20d841b8), TOBN(0x127a0548, 0xdbb8a54f),
TOBN(0x83dd4ca6, 0x63b20236), TOBN(0x87714718, 0x203491fa),
TOBN(0x4dabcaaa, 0xaa8a5288), TOBN(0x91cc0c8a, 0xaf23a1c9),
TOBN(0x34c72c6a, 0x3f220e0c), TOBN(0xbcc20bdf, 0x1232144a),
TOBN(0x6e2f42da, 0xa20ede1b), TOBN(0xc441f00c, 0x74a00515),
TOBN(0xbf46a5b6, 0x734b8c4b), TOBN(0x57409503, 0x7b56c9a4),
TOBN(0x9f735261, 0xe4585d45), TOBN(0x9231faed, 0x6734e642),
TOBN(0x1158a176, 0xbe70ee6c), TOBN(0x35f1068d, 0x7c3501bf),
TOBN(0x6beef900, 0xa2d26115), TOBN(0x649406f2, 0xef0afee3),
TOBN(0x3f43a60a, 0xbc2420a1), TOBN(0x509002a7, 0xd5aee4ac),
TOBN(0xb46836a5, 0x3ff3571b), TOBN(0x24f98b78, 0x837927c1),
TOBN(0x6254256a, 0x4533c716), TOBN(0xf27abb0b, 0xd07ee196),
TOBN(0xd7cf64fc, 0x5c6d5bfd), TOBN(0x6915c751, 0xf0cd7a77),
TOBN(0xd9f59012, 0x8798f534), TOBN(0x772b0da8, 0xf81d8b5f),
TOBN(0x1244260c, 0x2e03fa69), TOBN(0x36cf0e3a, 0x3be1a374),
TOBN(0x6e7c1633, 0xef06b960), TOBN(0xa71a4c55, 0x671f90f6),
TOBN(0x7a941251, 0x33c673db), TOBN(0xc0bea510, 0x73e8c131),
TOBN(0x61a8a699, 0xd4f6c734), TOBN(0x25e78c88, 0x341ed001),
TOBN(0x5c18acf8, 0x8e2f7d90), TOBN(0xfdbf33d7, 0x77be32cd),
TOBN(0x0a085cd7, 0xd2eb5ee9), TOBN(0x2d702cfb, 0xb3201115),
TOBN(0xb6e0ebdb, 0x85c88ce8), TOBN(0x23a3ce3c, 0x1e01d617),
TOBN(0x3041618e, 0x567333ac), TOBN(0x9dd0fd8f, 0x157edb6b),
TOBN(0x27f74702, 0xb57872b8), TOBN(0x2ef26b4f, 0x657d5fe1),
TOBN(0x95426f0a, 0x57cf3d40), TOBN(0x847e2ad1, 0x65a6067a),
TOBN(0xd474d9a0, 0x09996a74), TOBN(0x16a56acd, 0x2a26115c),
TOBN(0x02a615c3, 0xd16f4d43), TOBN(0xcc3fc965, 0xaadb85b7),
TOBN(0x386bda73, 0xce07d1b0), TOBN(0xd82910c2, 0x58ad4178),
TOBN(0x124f82cf, 0xcd2617f4), TOBN(0xcc2f5e8d, 0xef691770),
TOBN(0x82702550, 0xb8c30ccc), TOBN(0x7b856aea, 0x1a8e575a),
TOBN(0xbb822fef, 0xb1ab9459), TOBN(0x085928bc, 0xec24e38e),
TOBN(0x5d0402ec, 0xba8f4b4d), TOBN(0xc07cd4ba, 0x00b4d58b),
TOBN(0x5d8dffd5, 0x29227e7a), TOBN(0x61d44d0c, 0x31bf386f),
TOBN(0xe486dc2b, 0x135e6f4d), TOBN(0x680962eb, 0xe79410ef),
TOBN(0xa61bd343, 0xf10088b5), TOBN(0x6aa76076, 0xe2e28686),
TOBN(0x80463d11, 0x8fb98871), TOBN(0xcb26f5c3, 0xbbc76aff),
TOBN(0xd4ab8edd, 0xfbe03614), TOBN(0xc8eb579b, 0xc0cf2dee),
TOBN(0xcc004c15, 0xc93bae41), TOBN(0x46fbae5d, 0x3aeca3b2),
TOBN(0x671235cf, 0x0f1e9ab1), TOBN(0xadfba934, 0x9ec285c1),
TOBN(0x88ded013, 0xf216c980), TOBN(0xc8ac4fb8, 0xf79e0bc1),
TOBN(0xa29b89c6, 0xfb97a237), TOBN(0xb697b780, 0x9922d8e7),
TOBN(0x3142c639, 0xddb945b5), TOBN(0x447b06c7, 0xe094c3a9),
TOBN(0xcdcb3642, 0x72266c90), TOBN(0x633aad08, 0xa9385046),
TOBN(0xa36c936b, 0xb57c6477), TOBN(0x871f8b64, 0xe94dbcc6),
TOBN(0x28d0fb62, 0xa591a67b), TOBN(0x9d40e081, 0xc1d926f5),
TOBN(0x3111eaf6, 0xf2d84b5a), TOBN(0x228993f9, 0xa565b644),
TOBN(0x0ccbf592, 0x2c83188b), TOBN(0xf87b30ab, 0x3df3e197),
TOBN(0xb8658b31, 0x7642bca8), TOBN(0x1a032d7f, 0x52800f17),
TOBN(0x051dcae5, 0x79bf9445), TOBN(0xeba6b8ee, 0x54a2e253),
TOBN(0x5c8b9cad, 0xd4485692), TOBN(0x84bda40e, 0x8986e9be),
TOBN(0xd16d16a4, 0x2f0db448), TOBN(0x8ec80050, 0xa14d4188),
TOBN(0xb2b26107, 0x98fa7aaa), TOBN(0x41209ee4, 0xf073aa4e),
TOBN(0xf1570359, 0xf2d6b19b), TOBN(0xcbe6868c, 0xfc577caf),
TOBN(0x186c4bdc, 0x32c04dd3), TOBN(0xa6c35fae, 0xcfeee397),
TOBN(0xb4a1b312, 0xf086c0cf), TOBN(0xe0a5ccc6, 0xd9461fe2),
TOBN(0xc32278aa, 0x1536189f), TOBN(0x1126c55f, 0xba6df571),
TOBN(0x0f71a602, 0xb194560e), TOBN(0x8b2d7405, 0x324bd6e1),
TOBN(0x8481939e, 0x3738be71), TOBN(0xb5090b1a, 0x1a4d97a9),
TOBN(0x116c65a3, 0xf05ba915), TOBN(0x21863ad3, 0xaae448aa),
TOBN(0xd24e2679, 0xa7aae5d3), TOBN(0x7076013d, 0x0de5c1c4),
TOBN(0x2d50f8ba, 0xbb05b629), TOBN(0x73c1abe2, 0x6e66efbb),
TOBN(0xefd4b422, 0xf2488af7), TOBN(0xe4105d02, 0x663ba575),
TOBN(0x7eb60a8b, 0x53a69457), TOBN(0x62210008, 0xc945973b),
TOBN(0xfb255478, 0x77a50ec6), TOBN(0xbf0392f7, 0x0a37a72c),
TOBN(0xa0a7a19c, 0x4be18e7a), TOBN(0x90d8ea16, 0x25b1e0af),
TOBN(0x7582a293, 0xef953f57), TOBN(0x90a64d05, 0xbdc5465a),
TOBN(0xca79c497, 0xe2510717), TOBN(0x560dbb7c, 0x18cb641f),
TOBN(0x1d8e3286, 0x4b66abfb), TOBN(0xd26f52e5, 0x59030900),
TOBN(0x1ee3f643, 0x5584941a), TOBN(0x6d3b3730, 0x569f5958),
TOBN(0x9ff2a62f, 0x4789dba5), TOBN(0x91fcb815, 0x72b5c9b7),
TOBN(0xf446cb7d, 0x6c8f9a0e), TOBN(0x48f625c1, 0x39b7ecb5),
TOBN(0xbabae801, 0x1c6219b8), TOBN(0xe7a562d9, 0x28ac2f23),
TOBN(0xe1b48732, 0x26e20588), TOBN(0x06ee1cad, 0x775af051),
TOBN(0xda29ae43, 0xfaff79f7), TOBN(0xc141a412, 0x652ee9e0),
TOBN(0x1e127f6f, 0x195f4bd0), TOBN(0x29c6ab4f, 0x072f34f8),
TOBN(0x7b7c1477, 0x30448112), TOBN(0x82b51af1, 0xe4a38656),
TOBN(0x2bf2028a, 0x2f315010), TOBN(0xc9a4a01f, 0x6ea88cd4),
TOBN(0xf63e95d8, 0x257e5818), TOBN(0xdd8efa10, 0xb4519b16),
TOBN(0xed8973e0, 0x0da910bf), TOBN(0xed49d077, 0x5c0fe4a9),
TOBN(0xac3aac5e, 0xb7caee1e), TOBN(0x1033898d, 0xa7f4da57),
TOBN(0x42145c0e, 0x5c6669b9), TOBN(0x42daa688, 0xc1aa2aa0),
TOBN(0x629cc15c, 0x1a1d885a), TOBN(0x25572ec0, 0xf4b76817),
TOBN(0x8312e435, 0x9c8f8f28), TOBN(0x8107f8cd, 0x81965490),
TOBN(0x516ff3a3, 0x6fa6110c), TOBN(0x74fb1eb1, 0xfb93561f),
TOBN(0x6c0c9047, 0x8457522b), TOBN(0xcfd32104, 0x6bb8bdc6),
TOBN(0x2d6884a2, 0xcc80ad57), TOBN(0x7c27fc35, 0x86a9b637),
TOBN(0x3461baed, 0xadf4e8cd), TOBN(0x1d56251a, 0x617242f0),
TOBN(0x0b80d209, 0xc955bef4), TOBN(0xdf02cad2, 0x06adb047),
TOBN(0xf0d7cb91, 0x5ec74fee), TOBN(0xd2503375, 0x1111ba44),
TOBN(0x9671755e, 0xdf53cb36), TOBN(0x54dcb612, 0x3368551b),
TOBN(0x66d69aac, 0xc8a025a4), TOBN(0x6be946c6, 0xe77ef445),
TOBN(0x719946d1, 0xa995e094), TOBN(0x65e848f6, 0xe51e04d8),
TOBN(0xe62f3300, 0x6a1e3113), TOBN(0x1541c7c1, 0x501de503),
TOBN(0x4daac9fa, 0xf4acfade), TOBN(0x0e585897, 0x44cd0b71),
TOBN(0x544fd869, 0x0a51cd77), TOBN(0x60fc20ed, 0x0031016d),
TOBN(0x58b404ec, 0xa4276867), TOBN(0x46f6c3cc, 0x34f34993),
TOBN(0x477ca007, 0xc636e5bd), TOBN(0x8018f5e5, 0x7c458b47),
TOBN(0xa1202270, 0xe47b668f), TOBN(0xcef48ccd, 0xee14f203),
TOBN(0x23f98bae, 0x62ff9b4d), TOBN(0x55acc035, 0xc589eddd),
TOBN(0x3fe712af, 0x64db4444), TOBN(0x19e9d634, 0xbecdd480),
TOBN(0xe08bc047, 0xa930978a), TOBN(0x2dbf24ec, 0xa1280733),
TOBN(0x3c0ae38c, 0x2cd706b2), TOBN(0x5b012a5b, 0x359017b9),
TOBN(0x3943c38c, 0x72e0f5ae), TOBN(0x786167ea, 0x57176fa3),
TOBN(0xe5f9897d, 0x594881dc), TOBN(0x6b5efad8, 0xcfb820c1),
TOBN(0xb2179093, 0xd55018de), TOBN(0x39ad7d32, 0x0bac56ce),
TOBN(0xb55122e0, 0x2cfc0e81), TOBN(0x117c4661, 0xf6d89daa),
TOBN(0x362d01e1, 0xcb64fa09), TOBN(0x6a309b4e, 0x3e9c4ddd),
TOBN(0xfa979fb7, 0xabea49b1), TOBN(0xb4b1d27d, 0x10e2c6c5),
TOBN(0xbd61c2c4, 0x23afde7a), TOBN(0xeb6614f8, 0x9786d358),
TOBN(0x4a5d816b, 0x7f6f7459), TOBN(0xe431a44f, 0x09360e7b),
TOBN(0x8c27a032, 0xc309914c), TOBN(0xcea5d68a, 0xcaede3d8),
TOBN(0x3668f665, 0x3a0a3f95), TOBN(0x89369416, 0x7ceba27b),
TOBN(0x89981fad, 0xe4728fe9), TOBN(0x7102c8a0, 0x8a093562),
TOBN(0xbb80310e, 0x235d21c8), TOBN(0x505e55d1, 0xbefb7f7b),
TOBN(0xa0a90811, 0x12958a67), TOBN(0xd67e106a, 0x4d851fef),
TOBN(0xb84011a9, 0x431dd80e), TOBN(0xeb7c7cca, 0x73306cd9),
TOBN(0x20fadd29, 0xd1b3b730), TOBN(0x83858b5b, 0xfe37b3d3),
TOBN(0xbf4cd193, 0xb6251d5c), TOBN(0x1cca1fd3, 0x1352d952),
TOBN(0xc66157a4, 0x90fbc051), TOBN(0x7990a638, 0x89b98636),}
,
{TOBN(0xe5aa692a, 0x87dec0e1), TOBN(0x010ded8d, 0xf7b39d00),
TOBN(0x7b1b80c8, 0x54cfa0b5), TOBN(0x66beb876, 0xa0f8ea28),
TOBN(0x50d7f531, 0x3476cd0e), TOBN(0xa63d0e65, 0xb08d3949),
TOBN(0x1a09eea9, 0x53479fc6), TOBN(0x82ae9891, 0xf499e742),
TOBN(0xab58b910, 0x5ca7d866), TOBN(0x582967e2, 0x3adb3b34),
TOBN(0x89ae4447, 0xcceac0bc), TOBN(0x919c667c, 0x7bf56af5),
TOBN(0x9aec17b1, 0x60f5dcd7), TOBN(0xec697b9f, 0xddcaadbc),
TOBN(0x0b98f341, 0x463467f5), TOBN(0xb187f1f7, 0xa967132f),
TOBN(0x90fe7a1d, 0x214aeb18), TOBN(0x1506af3c, 0x741432f7),
TOBN(0xbb5565f9, 0xe591a0c4), TOBN(0x10d41a77, 0xb44f1bc3),
TOBN(0xa09d65e4, 0xa84bde96), TOBN(0x42f060d8, 0xf20a6a1c),
TOBN(0x652a3bfd, 0xf27f9ce7), TOBN(0xb6bdb65c, 0x3b3d739f),
TOBN(0xeb5ddcb6, 0xec7fae9f), TOBN(0x995f2714, 0xefb66e5a),
TOBN(0xdee95d8e, 0x69445d52), TOBN(0x1b6c2d46, 0x09e27620),
TOBN(0x32621c31, 0x8129d716), TOBN(0xb03909f1, 0x0958c1aa),
TOBN(0x8c468ef9, 0x1af4af63), TOBN(0x162c429f, 0xfba5cdf6),
TOBN(0x2f682343, 0x753b9371), TOBN(0x29cab45a, 0x5f1f9cd7),
TOBN(0x571623ab, 0xb245db96), TOBN(0xc507db09, 0x3fd79999),
TOBN(0x4e2ef652, 0xaf036c32), TOBN(0x86f0cc78, 0x05018e5c),
TOBN(0xc10a73d4, 0xab8be350), TOBN(0x6519b397, 0x7e826327),
TOBN(0xe8cb5eef, 0x9c053df7), TOBN(0x8de25b37, 0xb300ea6f),
TOBN(0xdb03fa92, 0xc849cffb), TOBN(0x242e43a7, 0xe84169bb),
TOBN(0xe4fa51f4, 0xdd6f958e), TOBN(0x6925a77f, 0xf4445a8d),
TOBN(0xe6e72a50, 0xe90d8949), TOBN(0xc66648e3, 0x2b1f6390),
TOBN(0xb2ab1957, 0x173e460c), TOBN(0x1bbbce75, 0x30704590),
TOBN(0xc0a90dbd, 0xdb1c7162), TOBN(0x505e399e, 0x15cdd65d),
TOBN(0x68434dcb, 0x57797ab7), TOBN(0x60ad35ba, 0x6a2ca8e8),
TOBN(0x4bfdb1e0, 0xde3336c1), TOBN(0xbbef99eb, 0xd8b39015),
TOBN(0x6c3b96f3, 0x1711ebec), TOBN(0x2da40f1f, 0xce98fdc4),
TOBN(0xb99774d3, 0x57b4411f), TOBN(0x87c8bdf4, 0x15b65bb6),
TOBN(0xda3a89e3, 0xc2eef12d), TOBN(0xde95bb9b, 0x3c7471f3),
TOBN(0x600f225b, 0xd812c594), TOBN(0x54907c5d, 0x2b75a56b),
TOBN(0xa93cc5f0, 0x8db60e35), TOBN(0x743e3cd6, 0xfa833319),
TOBN(0x7dad5c41, 0xf81683c9), TOBN(0x70c1e7d9, 0x9c34107e),
TOBN(0x0edc4a39, 0xa6be0907), TOBN(0x36d47035, 0x86d0b7d3),
TOBN(0x8c76da03, 0x272bfa60), TOBN(0x0b4a07ea, 0x0f08a414),
TOBN(0x699e4d29, 0x45c1dd53), TOBN(0xcadc5898, 0x231debb5),
TOBN(0xdf49fcc7, 0xa77f00e0), TOBN(0x93057bbf, 0xa73e5a0e),
TOBN(0x2f8b7ecd, 0x027a4cd1), TOBN(0x114734b3, 0xc614011a),
TOBN(0xe7a01db7, 0x67677c68), TOBN(0x89d9be5e, 0x7e273f4f),
TOBN(0xd225cb2e, 0x089808ef), TOBN(0xf1f7a27d, 0xd59e4107),
TOBN(0x53afc761, 0x8211b9c9), TOBN(0x0361bc67, 0xe6819159),
TOBN(0x2a865d0b, 0x7f071426), TOBN(0x6a3c1810, 0xe7072567),
TOBN(0x3e3bca1e, 0x0d6bcabd), TOBN(0xa1b02bc1, 0x408591bc),
TOBN(0xe0deee59, 0x31fba239), TOBN(0xf47424d3, 0x98bd91d1),
TOBN(0x0f8886f4, 0x071a3c1d), TOBN(0x3f7d41e8, 0xa819233b),
TOBN(0x708623c2, 0xcf6eb998), TOBN(0x86bb49af, 0x609a287f),
TOBN(0x942bb249, 0x63c90762), TOBN(0x0ef6eea5, 0x55a9654b),
TOBN(0x5f6d2d72, 0x36f5defe), TOBN(0xfa9922dc, 0x56f99176),
TOBN(0x6c8c5ece, 0xf78ce0c7), TOBN(0x7b44589d, 0xbe09b55e),
TOBN(0xe11b3bca, 0x9ea83770), TOBN(0xd7fa2c7f, 0x2ab71547),
TOBN(0x2a3dd6fa, 0x2a1ddcc0), TOBN(0x09acb430, 0x5a7b7707),
TOBN(0x4add4a2e, 0x649d4e57), TOBN(0xcd53a2b0, 0x1917526e),
TOBN(0xc5262330, 0x20b44ac4), TOBN(0x4028746a, 0xbaa2c31d),
TOBN(0x51318390, 0x64291d4c), TOBN(0xbf48f151, 0xee5ad909),
TOBN(0xcce57f59, 0x7b185681), TOBN(0x7c3ac1b0, 0x4854d442),
TOBN(0x65587dc3, 0xc093c171), TOBN(0xae7acb24, 0x24f42b65),
TOBN(0x5a338adb, 0x955996cb), TOBN(0xc8e65675, 0x6051f91b),
TOBN(0x66711fba, 0x28b8d0b1), TOBN(0x15d74137, 0xb6c10a90),
TOBN(0x70cdd7eb, 0x3a232a80), TOBN(0xc9e2f07f, 0x6191ed24),
TOBN(0xa80d1db6, 0xf79588c0), TOBN(0xfa52fc69, 0xb55768cc),
TOBN(0x0b4df1ae, 0x7f54438a), TOBN(0x0cadd1a7, 0xf9b46a4f),
TOBN(0xb40ea6b3, 0x1803dd6f), TOBN(0x488e4fa5, 0x55eaae35),
TOBN(0x9f047d55, 0x382e4e16), TOBN(0xc9b5b7e0, 0x2f6e0c98),
TOBN(0x6b1bd2d3, 0x95762649), TOBN(0xa9604ee7, 0xc7aea3f6),
TOBN(0x3646ff27, 0x6dc6f896), TOBN(0x9bf0e7f5, 0x2860bad1),
TOBN(0x2d92c821, 0x7cb44b92), TOBN(0xa2f5ce63, 0xaea9c182),
TOBN(0xd0a2afb1, 0x9154a5fd), TOBN(0x482e474c, 0x95801da6),
TOBN(0xc19972d0, 0xb611c24b), TOBN(0x1d468e65, 0x60a8f351),
TOBN(0xeb758069, 0x7bcf6421), TOBN(0xec9dd0ee, 0x88fbc491),
TOBN(0x5b59d2bf, 0x956c2e32), TOBN(0x73dc6864, 0xdcddf94e),
TOBN(0xfd5e2321, 0xbcee7665), TOBN(0xa7b4f8ef, 0x5e9a06c4),
TOBN(0xfba918dd, 0x7280f855), TOBN(0xbbaac260, 0x8baec688),
TOBN(0xa3b3f00f, 0x33400f42), TOBN(0x3d2dba29, 0x66f2e6e4),
TOBN(0xb6f71a94, 0x98509375), TOBN(0x8f33031f, 0xcea423cc),
TOBN(0x009b8dd0, 0x4807e6fb), TOBN(0x5163cfe5, 0x5cdb954c),
TOBN(0x03cc8f17, 0xcf41c6e8), TOBN(0xf1f03c2a, 0x037b925c),
TOBN(0xc39c19cc, 0x66d2427c), TOBN(0x823d24ba, 0x7b6c18e4),
TOBN(0x32ef9013, 0x901f0b4f), TOBN(0x684360f1, 0xf8941c2e),
TOBN(0x0ebaff52, 0x2c28092e), TOBN(0x7891e4e3, 0x256c932f),
TOBN(0x51264319, 0xac445e3d), TOBN(0x553432e7, 0x8ea74381),
TOBN(0xe6eeaa69, 0x67e9c50a), TOBN(0x27ced284, 0x62e628c7),
TOBN(0x3f96d375, 0x7a4afa57), TOBN(0xde0a14c3, 0xe484c150),
TOBN(0x364a24eb, 0x38bd9923), TOBN(0x1df18da0, 0xe5177422),
TOBN(0x174e8f82, 0xd8d38a9b), TOBN(0x2e97c600, 0xe7de1391),
TOBN(0xc5709850, 0xa1c175dd), TOBN(0x969041a0, 0x32ae5035),
TOBN(0xcbfd533b, 0x76a2086b), TOBN(0xd6bba71b, 0xd7c2e8fe),
TOBN(0xb2d58ee6, 0x099dfb67), TOBN(0x3a8b342d, 0x064a85d9),
TOBN(0x3bc07649, 0x522f9be3), TOBN(0x690c075b, 0xdf1f49a8),
TOBN(0x80e1aee8, 0x3854ec42), TOBN(0x2a7dbf44, 0x17689dc7),
TOBN(0xc004fc0e, 0x3faf4078), TOBN(0xb2f02e9e, 0xdf11862c),
TOBN(0xf10a5e0f, 0xa0a1b7b3), TOBN(0x30aca623, 0x8936ec80),
TOBN(0xf83cbf05, 0x02f40d9a), TOBN(0x4681c468, 0x2c318a4d),
TOBN(0x98575618, 0x0e9c2674), TOBN(0xbe79d046, 0x1847092e),
TOBN(0xaf1e480a, 0x78bd01e0), TOBN(0x6dd359e4, 0x72a51db9),
TOBN(0x62ce3821, 0xe3afbab6), TOBN(0xc5cee5b6, 0x17733199),
TOBN(0xe08b30d4, 0x6ffd9fbb), TOBN(0x6e5bc699, 0x36c610b7),
TOBN(0xf343cff2, 0x9ce262cf), TOBN(0xca2e4e35, 0x68b914c1),
TOBN(0x011d64c0, 0x16de36c5), TOBN(0xe0b10fdd, 0x42e2b829),
TOBN(0x78942981, 0x6685aaf8), TOBN(0xe7511708, 0x230ede97),
TOBN(0x671ed8fc, 0x3b922bf8), TOBN(0xe4d8c0a0, 0x4c29b133),
TOBN(0x87eb1239, 0x3b6e99c4), TOBN(0xaff3974c, 0x8793beba),
TOBN(0x03749405, 0x2c18df9b), TOBN(0xc5c3a293, 0x91007139),
TOBN(0x6a77234f, 0xe37a0b95), TOBN(0x02c29a21, 0xb661c96b),
TOBN(0xc3aaf1d6, 0x141ecf61), TOBN(0x9195509e, 0x3bb22f53),
TOBN(0x29597404, 0x22d51357), TOBN(0x1b083822, 0x537bed60),
TOBN(0xcd7d6e35, 0xe07289f0), TOBN(0x1f94c48c, 0x6dd86eff),
TOBN(0xc8bb1f82, 0xeb0f9cfa), TOBN(0x9ee0b7e6, 0x1b2eb97d),
TOBN(0x5a52fe2e, 0x34d74e31), TOBN(0xa352c310, 0x3bf79ab6),
TOBN(0x97ff6c5a, 0xabfeeb8f), TOBN(0xbfbe8fef, 0xf5c97305),
TOBN(0xd6081ce6, 0xa7904608), TOBN(0x1f812f3a, 0xc4fca249),
TOBN(0x9b24bc9a, 0xb9e5e200), TOBN(0x91022c67, 0x38012ee8),
TOBN(0xe83d9c5d, 0x30a713a1), TOBN(0x4876e3f0, 0x84ef0f93),
TOBN(0xc9777029, 0xc1fbf928), TOBN(0xef7a6bb3, 0xbce7d2a4),
TOBN(0xb8067228, 0xdfa2a659), TOBN(0xd5cd3398, 0xd877a48f),
TOBN(0xbea4fd8f, 0x025d0f3f), TOBN(0xd67d2e35, 0x2eae7c2b),
TOBN(0x184de7d7, 0xcc5f4394), TOBN(0xb5551b5c, 0x4536e142),
TOBN(0x2e89b212, 0xd34aa60a), TOBN(0x14a96fea, 0xf50051d5),
TOBN(0x4e21ef74, 0x0d12bb0b), TOBN(0xc522f020, 0x60b9677e),
TOBN(0x8b12e467, 0x2df7731d), TOBN(0x39f80382, 0x7b326d31),
TOBN(0xdfb8630c, 0x39024a94), TOBN(0xaacb96a8, 0x97319452),
TOBN(0xd68a3961, 0xeda3867c), TOBN(0x0c58e2b0, 0x77c4ffca),
TOBN(0x3d545d63, 0x4da919fa), TOBN(0xef79b69a, 0xf15e2289),
TOBN(0x54bc3d3d, 0x808bab10), TOBN(0xc8ab3007, 0x45f82c37),
TOBN(0xc12738b6, 0x7c4a658a), TOBN(0xb3c47639, 0x40e72182),
TOBN(0x3b77be46, 0x8798e44f), TOBN(0xdc047df2, 0x17a7f85f),
TOBN(0x2439d4c5, 0x5e59d92d), TOBN(0xcedca475, 0xe8e64d8d),
TOBN(0xa724cd0d, 0x87ca9b16), TOBN(0x35e4fd59, 0xa5540dfe),
TOBN(0xf8c1ff18, 0xe4bcf6b1), TOBN(0x856d6285, 0x295018fa),
TOBN(0x433f665c, 0x3263c949), TOBN(0xa6a76dd6, 0xa1f21409),
TOBN(0x17d32334, 0xcc7b4f79), TOBN(0xa1d03122, 0x06720e4a),
TOBN(0xadb6661d, 0x81d9bed5), TOBN(0xf0d6fb02, 0x11db15d1),
TOBN(0x7fd11ad5, 0x1fb747d2), TOBN(0xab50f959, 0x3033762b),
TOBN(0x2a7e711b, 0xfbefaf5a), TOBN(0xc7393278, 0x3fef2bbf),
TOBN(0xe29fa244, 0x0df6f9be), TOBN(0x9092757b, 0x71efd215),
TOBN(0xee60e311, 0x4f3d6fd9), TOBN(0x338542d4, 0x0acfb78b),
TOBN(0x44a23f08, 0x38961a0f), TOBN(0x1426eade, 0x986987ca),
TOBN(0x36e6ee2e, 0x4a863cc6), TOBN(0x48059420, 0x628b8b79),
TOBN(0x30303ad8, 0x7396e1de), TOBN(0x5c8bdc48, 0x38c5aad1),
TOBN(0x3e40e11f, 0x5c8f5066), TOBN(0xabd6e768, 0x8d246bbd),
TOBN(0x68aa40bb, 0x23330a01), TOBN(0xd23f5ee4, 0xc34eafa0),
TOBN(0x3bbee315, 0x5de02c21), TOBN(0x18dd4397, 0xd1d8dd06),
TOBN(0x3ba1939a, 0x122d7b44), TOBN(0xe6d3b40a, 0xa33870d6),
TOBN(0x8e620f70, 0x1c4fe3f8), TOBN(0xf6bba1a5, 0xd3a50cbf),
TOBN(0x4a78bde5, 0xcfc0aee0), TOBN(0x847edc46, 0xc08c50bd),
TOBN(0xbaa2439c, 0xad63c9b2), TOBN(0xceb4a728, 0x10fc2acb),
TOBN(0xa419e40e, 0x26da033d), TOBN(0x6cc3889d, 0x03e02683),
TOBN(0x1cd28559, 0xfdccf725), TOBN(0x0fd7e0f1, 0x8d13d208),
TOBN(0x01b9733b, 0x1f0df9d4), TOBN(0x8cc2c5f3, 0xa2b5e4f3),
TOBN(0x43053bfa, 0x3a304fd4), TOBN(0x8e87665c, 0x0a9f1aa7),
TOBN(0x087f29ec, 0xd73dc965), TOBN(0x15ace455, 0x3e9023db),
TOBN(0x2370e309, 0x2bce28b4), TOBN(0xf9723442, 0xb6b1e84a),
TOBN(0xbeee662e, 0xb72d9f26), TOBN(0xb19396de, 0xf0e47109),
TOBN(0x85b1fa73, 0xe13289d0), TOBN(0x436cf77e, 0x54e58e32),
TOBN(0x0ec833b3, 0xe990ef77), TOBN(0x7373e3ed, 0x1b11fc25),
TOBN(0xbe0eda87, 0x0fc332ce), TOBN(0xced04970, 0x8d7ea856),
TOBN(0xf85ff785, 0x7e977ca0), TOBN(0xb66ee8da, 0xdfdd5d2b),
TOBN(0xf5e37950, 0x905af461), TOBN(0x587b9090, 0x966d487c),
TOBN(0x6a198a1b, 0x32ba0127), TOBN(0xa7720e07, 0x141615ac),
TOBN(0xa23f3499, 0x996ef2f2), TOBN(0xef5f64b4, 0x470bcb3d),
TOBN(0xa526a962, 0x92b8c559), TOBN(0x0c14aac0, 0x69740a0f),
TOBN(0x0d41a9e3, 0xa6bdc0a5), TOBN(0x97d52106, 0x9c48aef4),
TOBN(0xcf16bd30, 0x3e7c253b), TOBN(0xcc834b1a, 0x47fdedc1),
TOBN(0x7362c6e5, 0x373aab2e), TOBN(0x264ed85e, 0xc5f590ff),
TOBN(0x7a46d9c0, 0x66d41870), TOBN(0xa50c20b1, 0x4787ba09),
TOBN(0x185e7e51, 0xe3d44635), TOBN(0xb3b3e080, 0x31e2d8dc),
TOBN(0xbed1e558, 0xa179e9d9), TOBN(0x2daa3f79, 0x74a76781),
TOBN(0x4372baf2, 0x3a40864f), TOBN(0x46900c54, 0x4fe75cb5),
TOBN(0xb95f171e, 0xf76765d0), TOBN(0x4ad726d2, 0x95c87502),
TOBN(0x2ec769da, 0x4d7c99bd), TOBN(0x5e2ddd19, 0xc36cdfa8),
TOBN(0xc22117fc, 0xa93e6dea), TOBN(0xe8a2583b, 0x93771123),
TOBN(0xbe2f6089, 0xfa08a3a2), TOBN(0x4809d5ed, 0x8f0e1112),
TOBN(0x3b414aa3, 0xda7a095e), TOBN(0x9049acf1, 0x26f5aadd),
TOBN(0x78d46a4d, 0x6be8b84a), TOBN(0xd66b1963, 0xb732b9b3),
TOBN(0x5c2ac2a0, 0xde6e9555), TOBN(0xcf52d098, 0xb5bd8770),
TOBN(0x15a15fa6, 0x0fd28921), TOBN(0x56ccb81e, 0x8b27536d),
TOBN(0x0f0d8ab8, 0x9f4ccbb8), TOBN(0xed5f44d2, 0xdb221729),
TOBN(0x43141988, 0x00bed10c), TOBN(0xc94348a4, 0x1d735b8b),
TOBN(0x79f3e9c4, 0x29ef8479), TOBN(0x4c13a4e3, 0x614c693f),
TOBN(0x32c9af56, 0x8e143a14), TOBN(0xbc517799, 0xe29ac5c4),
TOBN(0x05e17992, 0x2774856f), TOBN(0x6e52fb05, 0x6c1bf55f),
TOBN(0xaeda4225, 0xe4f19e16), TOBN(0x70f4728a, 0xaf5ccb26),
TOBN(0x5d2118d1, 0xb2947f22), TOBN(0xc827ea16, 0x281d6fb9),
TOBN(0x8412328d, 0x8cf0eabd), TOBN(0x45ee9fb2, 0x03ef9dcf),
TOBN(0x8e700421, 0xbb937d63), TOBN(0xdf8ff2d5, 0xcc4b37a6),
TOBN(0xa4c0d5b2, 0x5ced7b68), TOBN(0x6537c1ef, 0xc7308f59),
TOBN(0x25ce6a26, 0x3b37f8e8), TOBN(0x170e9a9b, 0xdeebc6ce),
TOBN(0xdd037952, 0x8728d72c), TOBN(0x445b0e55, 0x850154bc),
TOBN(0x4b7d0e06, 0x83a7337b), TOBN(0x1e3416d4, 0xffecf249),
TOBN(0x24840eff, 0x66a2b71f), TOBN(0xd0d9a50a, 0xb37cc26d),
TOBN(0xe2198150, 0x6fe28ef7), TOBN(0x3cc5ef16, 0x23324c7f),
TOBN(0x220f3455, 0x769b5263), TOBN(0xe2ade2f1, 0xa10bf475),
TOBN(0x28cd20fa, 0x458d3671), TOBN(0x1549722c, 0x2dc4847b),
TOBN(0x6dd01e55, 0x591941e3), TOBN(0x0e6fbcea, 0x27128ccb),
TOBN(0xae1a1e6b, 0x3bef0262), TOBN(0xfa8c472c, 0x8f54e103),
TOBN(0x7539c0a8, 0x72c052ec), TOBN(0xd7b27369, 0x5a3490e9),
TOBN(0x143fe1f1, 0x71684349), TOBN(0x36b4722e, 0x32e19b97),
TOBN(0xdc059227, 0x90980aff), TOBN(0x175c9c88, 0x9e13d674),
TOBN(0xa7de5b22, 0x6e6bfdb1), TOBN(0x5ea5b7b2, 0xbedb4b46),
TOBN(0xd5570191, 0xd34a6e44), TOBN(0xfcf60d2e, 0xa24ff7e6),
TOBN(0x614a392d, 0x677819e1), TOBN(0x7be74c7e, 0xaa5a29e8),
TOBN(0xab50fece, 0x63c85f3f), TOBN(0xaca2e2a9, 0x46cab337),
TOBN(0x7f700388, 0x122a6fe3), TOBN(0xdb69f703, 0x882a04a8),
TOBN(0x9a77935d, 0xcf7aed57), TOBN(0xdf16207c, 0x8d91c86f),
TOBN(0x2fca49ab, 0x63ed9998), TOBN(0xa3125c44, 0xa77ddf96),
TOBN(0x05dd8a86, 0x24344072), TOBN(0xa023dda2, 0xfec3fb56),
TOBN(0x421b41fc, 0x0c743032), TOBN(0x4f2120c1, 0x5e438639),
TOBN(0xfb7cae51, 0xc83c1b07), TOBN(0xb2370caa, 0xcac2171a),
TOBN(0x2eb2d962, 0x6cc820fb), TOBN(0x59feee5c, 0xb85a44bf),
TOBN(0x94620fca, 0x5b6598f0), TOBN(0x6b922cae, 0x7e314051),
TOBN(0xff8745ad, 0x106bed4e), TOBN(0x546e71f5, 0xdfa1e9ab),
TOBN(0x935c1e48, 0x1ec29487), TOBN(0x9509216c, 0x4d936530),
TOBN(0xc7ca3067, 0x85c9a2db), TOBN(0xd6ae5152, 0x6be8606f),
TOBN(0x09dbcae6, 0xe14c651d), TOBN(0xc9536e23, 0x9bc32f96),
TOBN(0xa90535a9, 0x34521b03), TOBN(0xf39c526c, 0x878756ff),
TOBN(0x383172ec, 0x8aedf03c), TOBN(0x20a8075e, 0xefe0c034),
TOBN(0xf22f9c62, 0x64026422), TOBN(0x8dd10780, 0x24b9d076),
TOBN(0x944c742a, 0x3bef2950), TOBN(0x55b9502e, 0x88a2b00b),
TOBN(0xa59e14b4, 0x86a09817), TOBN(0xa39dd3ac, 0x47bb4071),
TOBN(0x55137f66, 0x3be0592f), TOBN(0x07fcafd4, 0xc9e63f5b),
TOBN(0x963652ee, 0x346eb226), TOBN(0x7dfab085, 0xec2facb7),
TOBN(0x273bf2b8, 0x691add26), TOBN(0x30d74540, 0xf2b46c44),
TOBN(0x05e8e73e, 0xf2c2d065), TOBN(0xff9b8a00, 0xd42eeac9),
TOBN(0x2fcbd205, 0x97209d22), TOBN(0xeb740ffa, 0xde14ea2c),
TOBN(0xc71ff913, 0xa8aef518), TOBN(0x7bfc74bb, 0xfff4cfa2),
TOBN(0x1716680c, 0xb6b36048), TOBN(0x121b2cce, 0x9ef79af1),
TOBN(0xbff3c836, 0xa01eb3d3), TOBN(0x50eb1c6a, 0x5f79077b),
TOBN(0xa48c32d6, 0xa004bbcf), TOBN(0x47a59316, 0x7d64f61d),
TOBN(0x6068147f, 0x93102016), TOBN(0x12c5f654, 0x94d12576),
TOBN(0xefb071a7, 0xc9bc6b91), TOBN(0x7c2da0c5, 0x6e23ea95),
TOBN(0xf4fd45b6, 0xd4a1dd5d), TOBN(0x3e7ad9b6, 0x9122b13c),
TOBN(0x342ca118, 0xe6f57a48), TOBN(0x1c2e94a7, 0x06f8288f),
TOBN(0x99e68f07, 0x5a97d231), TOBN(0x7c80de97, 0x4d838758),
TOBN(0xbce0f5d0, 0x05872727), TOBN(0xbe5d95c2, 0x19c4d016),
TOBN(0x921d5cb1, 0x9c2492ee), TOBN(0x42192dc1, 0x404d6fb3),
TOBN(0x4c84dcd1, 0x32f988d3), TOBN(0xde26d61f, 0xa17b8e85),
TOBN(0xc466dcb6, 0x137c7408), TOBN(0x9a38d7b6, 0x36a266da),
TOBN(0x7ef5cb06, 0x83bebf1b), TOBN(0xe5cdcbbf, 0x0fd014e3),
TOBN(0x30aa376d, 0xf65965a0), TOBN(0x60fe88c2, 0xebb3e95e),
TOBN(0x33fd0b61, 0x66ee6f20), TOBN(0x8827dcdb, 0x3f41f0a0),
TOBN(0xbf8a9d24, 0x0c56c690), TOBN(0x40265dad, 0xddb7641d),
TOBN(0x522b05bf, 0x3a6b662b), TOBN(0x466d1dfe, 0xb1478c9b),
TOBN(0xaa616962, 0x1484469b), TOBN(0x0db60549, 0x02df8f9f),
TOBN(0xc37bca02, 0x3cb8bf51), TOBN(0x5effe346, 0x21371ce8),
TOBN(0xe8f65264, 0xff112c32), TOBN(0x8a9c736d, 0x7b971fb2),
TOBN(0xa4f19470, 0x7b75080d), TOBN(0xfc3f2c5a, 0x8839c59b),
TOBN(0x1d6c777e, 0x5aeb49c2), TOBN(0xf3db034d, 0xda1addfe),
TOBN(0xd76fee5a, 0x5535affc), TOBN(0x0853ac70, 0xb92251fd),
TOBN(0x37e3d594, 0x8b2a29d5), TOBN(0x28f1f457, 0x4de00ddb),
TOBN(0x8083c1b5, 0xf42c328b), TOBN(0xd8ef1d8f, 0xe493c73b),
TOBN(0x96fb6260, 0x41dc61bd), TOBN(0xf74e8a9d, 0x27ee2f8a),
TOBN(0x7c605a80, 0x2c946a5d), TOBN(0xeed48d65, 0x3839ccfd),
TOBN(0x9894344f, 0x3a29467a), TOBN(0xde81e949, 0xc51eba6d),
TOBN(0xdaea066b, 0xa5e5c2f2), TOBN(0x3fc8a614, 0x08c8c7b3),
TOBN(0x7adff88f, 0x06d0de9f), TOBN(0xbbc11cf5, 0x3b75ce0a),
TOBN(0x9fbb7acc, 0xfbbc87d5), TOBN(0xa1458e26, 0x7badfde2)}
,
{TOBN(0x1cb43668, 0xe039c256), TOBN(0x5f26fb8b, 0x7c17fd5d),
TOBN(0xeee426af, 0x79aa062b), TOBN(0x072002d0, 0xd78fbf04),
TOBN(0x4c9ca237, 0xe84fb7e3), TOBN(0xb401d8a1, 0x0c82133d),
TOBN(0xaaa52592, 0x6d7e4181), TOBN(0xe9430833, 0x73dbb152),
TOBN(0xf92dda31, 0xbe24319a), TOBN(0x03f7d28b, 0xe095a8e7),
TOBN(0xa52fe840, 0x98782185), TOBN(0x276ddafe, 0x29c24dbc),
TOBN(0x80cd5496, 0x1d7a64eb), TOBN(0xe4360889, 0x7f1dbe42),
TOBN(0x2f81a877, 0x8438d2d5), TOBN(0x7e4d52a8, 0x85169036),
TOBN(0x19e3d5b1, 0x1d59715d), TOBN(0xc7eaa762, 0xd788983e),
TOBN(0xe5a730b0, 0xabf1f248), TOBN(0xfbab8084, 0xfae3fd83),
TOBN(0x65e50d21, 0x53765b2f), TOBN(0xbdd4e083, 0xfa127f3d),
TOBN(0x9cf3c074, 0x397b1b10), TOBN(0x59f8090c, 0xb1b59fd3),
TOBN(0x7b15fd9d, 0x615faa8f), TOBN(0x8fa1eb40, 0x968554ed),
TOBN(0x7bb4447e, 0x7aa44882), TOBN(0x2bb2d0d1, 0x029fff32),
TOBN(0x075e2a64, 0x6caa6d2f), TOBN(0x8eb879de, 0x22e7351b),
TOBN(0xbcd5624e, 0x9a506c62), TOBN(0x218eaef0, 0xa87e24dc),
TOBN(0x37e56847, 0x44ddfa35), TOBN(0x9ccfc5c5, 0xdab3f747),
TOBN(0x9ac1df3f, 0x1ee96cf4), TOBN(0x0c0571a1, 0x3b480b8f),
TOBN(0x2fbeb3d5, 0x4b3a7b3c), TOBN(0x35c03669, 0x5dcdbb99),
TOBN(0x52a0f5dc, 0xb2415b3a), TOBN(0xd57759b4, 0x4413ed9a),
TOBN(0x1fe647d8, 0x3d30a2c5), TOBN(0x0857f77e, 0xf78a81dc),
TOBN(0x11d5a334, 0x131a4a9b), TOBN(0xc0a94af9, 0x29d393f5),
TOBN(0xbc3a5c0b, 0xdaa6ec1a), TOBN(0xba9fe493, 0x88d2d7ed),
TOBN(0xbb4335b4, 0xbb614797), TOBN(0x991c4d68, 0x72f83533),
TOBN(0x53258c28, 0xd2f01cb3), TOBN(0x93d6eaa3, 0xd75db0b1),
TOBN(0x419a2b0d, 0xe87d0db4), TOBN(0xa1e48f03, 0xd8fe8493),
TOBN(0xf747faf6, 0xc508b23a), TOBN(0xf137571a, 0x35d53549),
TOBN(0x9f5e58e2, 0xfcf9b838), TOBN(0xc7186cee, 0xa7fd3cf5),
TOBN(0x77b868ce, 0xe978a1d3), TOBN(0xe3a68b33, 0x7ab92d04),
TOBN(0x51029794, 0x87a5b862), TOBN(0x5f0606c3, 0x3a61d41d),
TOBN(0x2814be27, 0x6f9326f1), TOBN(0x2f521c14, 0xc6fe3c2e),
TOBN(0x17464d7d, 0xacdf7351), TOBN(0x10f5f9d3, 0x777f7e44),
TOBN(0xce8e616b, 0x269fb37d), TOBN(0xaaf73804, 0x7de62de5),
TOBN(0xaba11175, 0x4fdd4153), TOBN(0x515759ba, 0x3770b49b),
TOBN(0x8b09ebf8, 0xaa423a61), TOBN(0x592245a1, 0xcd41fb92),
TOBN(0x1cba8ec1, 0x9b4c8936), TOBN(0xa87e91e3, 0xaf36710e),
TOBN(0x1fd84ce4, 0x3d34a2e3), TOBN(0xee3759ce, 0xb43b5d61),
TOBN(0x895bc78c, 0x619186c7), TOBN(0xf19c3809, 0xcbb9725a),
TOBN(0xc0be21aa, 0xde744b1f), TOBN(0xa7d222b0, 0x60f8056b),
TOBN(0x74be6157, 0xb23efe11), TOBN(0x6fab2b4f, 0x0cd68253),
TOBN(0xad33ea5f, 0x4bf1d725), TOBN(0x9c1d8ee2, 0x4f6c950f),
TOBN(0x544ee78a, 0xa377af06), TOBN(0x54f489bb, 0x94a113e1),
TOBN(0x8f11d634, 0x992fb7e8), TOBN(0x0169a7aa, 0xa2a44347),
TOBN(0x1d49d4af, 0x95020e00), TOBN(0x95945722, 0xe08e120b),
TOBN(0xb6e33878, 0xa4d32282), TOBN(0xe36e029d, 0x48020ae7),
TOBN(0xe05847fb, 0x37a9b750), TOBN(0xf876812c, 0xb29e3819),
TOBN(0x84ad138e, 0xd23a17f0), TOBN(0x6d7b4480, 0xf0b3950e),
TOBN(0xdfa8aef4, 0x2fd67ae0), TOBN(0x8d3eea24, 0x52333af6),
TOBN(0x0d052075, 0xb15d5acc), TOBN(0xc6d9c79f, 0xbd815bc4),
TOBN(0x8dcafd88, 0xdfa36cf2), TOBN(0x908ccbe2, 0x38aa9070),
TOBN(0x638722c4, 0xba35afce), TOBN(0x5a3da8b0, 0xfd6abf0b),
TOBN(0x2dce252c, 0xc9c335c1), TOBN(0x84e7f0de, 0x65aa799b),
TOBN(0x2101a522, 0xb99a72cb), TOBN(0x06de6e67, 0x87618016),
TOBN(0x5ff8c7cd, 0xe6f3653e), TOBN(0x0a821ab5, 0xc7a6754a),
TOBN(0x7e3fa52b, 0x7cb0b5a2), TOBN(0xa7fb121c, 0xc9048790),
TOBN(0x1a725020, 0x06ce053a), TOBN(0xb490a31f, 0x04e929b0),
TOBN(0xe17be47d, 0x62dd61ad), TOBN(0x781a961c, 0x6be01371),
TOBN(0x1063bfd3, 0xdae3cbba), TOBN(0x35647406, 0x7f73c9ba),
TOBN(0xf50e957b, 0x2736a129), TOBN(0xa6313702, 0xed13f256),
TOBN(0x9436ee65, 0x3a19fcc5), TOBN(0xcf2bdb29, 0xe7a4c8b6),
TOBN(0xb06b1244, 0xc5f95cd8), TOBN(0xda8c8af0, 0xf4ab95f4),
TOBN(0x1bae59c2, 0xb9e5836d), TOBN(0x07d51e7e, 0x3acffffc),
TOBN(0x01e15e6a, 0xc2ccbcda), TOBN(0x3bc1923f, 0x8528c3e0),
TOBN(0x43324577, 0xa49fead4), TOBN(0x61a1b884, 0x2aa7a711),
TOBN(0xf9a86e08, 0x700230ef), TOBN(0x0af585a1, 0xbd19adf8),
TOBN(0x7645f361, 0xf55ad8f2), TOBN(0x6e676223, 0x46c3614c),
TOBN(0x23cb257c, 0x4e774d3f), TOBN(0x82a38513, 0xac102d1b),
TOBN(0x9bcddd88, 0x7b126aa5), TOBN(0xe716998b, 0xeefd3ee4),
TOBN(0x4239d571, 0xfb167583), TOBN(0xdd011c78, 0xd16c8f8a),
TOBN(0x271c2895, 0x69a27519), TOBN(0x9ce0a3b7, 0xd2d64b6a),
TOBN(0x8c977289, 0xd5ec6738), TOBN(0xa3b49f9a, 0x8840ef6b),
TOBN(0x808c14c9, 0x9a453419), TOBN(0x5c00295b, 0x0cf0a2d5),
TOBN(0x524414fb, 0x1d4bcc76), TOBN(0xb07691d2, 0x459a88f1),
TOBN(0x77f43263, 0xf70d110f), TOBN(0x64ada5e0, 0xb7abf9f3),
TOBN(0xafd0f94e, 0x5b544cf5), TOBN(0xb4a13a15, 0xfd2713fe),
TOBN(0xb99b7d6e, 0x250c74f4), TOBN(0x097f2f73, 0x20324e45),
TOBN(0x994b37d8, 0xaffa8208), TOBN(0xc3c31b0b, 0xdc29aafc),
TOBN(0x3da74651, 0x7a3a607f), TOBN(0xd8e1b8c1, 0xfe6955d6),
TOBN(0x716e1815, 0xc8418682), TOBN(0x541d487f, 0x7dc91d97),
TOBN(0x48a04669, 0xc6996982), TOBN(0xf39cab15, 0x83a6502e),
TOBN(0x025801a0, 0xe68db055), TOBN(0xf3569758, 0xba3338d5),
TOBN(0xb0c8c0aa, 0xee2afa84), TOBN(0x4f6985d3, 0xfb6562d1),
TOBN(0x351f1f15, 0x132ed17a), TOBN(0x510ed0b4, 0xc04365fe),
TOBN(0xa3f98138, 0xe5b1f066), TOBN(0xbc9d95d6, 0x32df03dc),
TOBN(0xa83ccf6e, 0x19abd09e), TOBN(0x0b4097c1, 0x4ff17edb),
TOBN(0x58a5c478, 0xd64a06ce), TOBN(0x2ddcc3fd, 0x544a58fd),
TOBN(0xd449503d, 0x9e8153b8), TOBN(0x3324fd02, 0x7774179b),
TOBN(0xaf5d47c8, 0xdbd9120c), TOBN(0xeb860162, 0x34fa94db),
TOBN(0x5817bdd1, 0x972f07f4), TOBN(0xe5579e2e, 0xd27bbceb),
TOBN(0x86847a1f, 0x5f11e5a6), TOBN(0xb39ed255, 0x7c3cf048),
TOBN(0xe1076417, 0xa2f62e55), TOBN(0x6b9ab38f, 0x1bcf82a2),
TOBN(0x4bb7c319, 0x7aeb29f9), TOBN(0xf6d17da3, 0x17227a46),
TOBN(0xab53ddbd, 0x0f968c00), TOBN(0xa03da7ec, 0x000c880b),
TOBN(0x7b239624, 0x6a9ad24d), TOBN(0x612c0401, 0x01ec60d0),
TOBN(0x70d10493, 0x109f5df1), TOBN(0xfbda4030, 0x80af7550),
TOBN(0x30b93f95, 0xc6b9a9b3), TOBN(0x0c74ec71, 0x007d9418),
TOBN(0x94175564, 0x6edb951f), TOBN(0x5f4a9d78, 0x7f22c282),
TOBN(0xb7870895, 0xb38d1196), TOBN(0xbc593df3, 0xa228ce7c),
TOBN(0xc78c5bd4, 0x6af3641a), TOBN(0x7802200b, 0x3d9b3dcc),
TOBN(0x0dc73f32, 0x8be33304), TOBN(0x847ed87d, 0x61ffb79a),
TOBN(0xf85c974e, 0x6d671192), TOBN(0x1e14100a, 0xde16f60f),
TOBN(0x45cb0d5a, 0x95c38797), TOBN(0x18923bba, 0x9b022da4),
TOBN(0xef2be899, 0xbbe7e86e), TOBN(0x4a1510ee, 0x216067bf),
TOBN(0xd98c8154, 0x84d5ce3e), TOBN(0x1af777f0, 0xf92a2b90),
TOBN(0x9fbcb400, 0x4ef65724), TOBN(0x3e04a4c9, 0x3c0ca6fe),
TOBN(0xfb3e2cb5, 0x55002994), TOBN(0x1f3a93c5, 0x5363ecab),
TOBN(0x1fe00efe, 0x3923555b), TOBN(0x744bedd9, 0x1e1751ea),
TOBN(0x3fb2db59, 0x6ab69357), TOBN(0x8dbd7365, 0xf5e6618b),
TOBN(0x99d53099, 0xdf1ea40e), TOBN(0xb3f24a0b, 0x57d61e64),
TOBN(0xd088a198, 0x596eb812), TOBN(0x22c8361b, 0x5762940b),
TOBN(0x66f01f97, 0xf9c0d95c), TOBN(0x88461172, 0x8e43cdae),
TOBN(0x11599a7f, 0xb72b15c3), TOBN(0x135a7536, 0x420d95cc),
TOBN(0x2dcdf0f7, 0x5f7ae2f6), TOBN(0x15fc6e1d, 0xd7fa6da2),
TOBN(0x81ca829a, 0xd1d441b6), TOBN(0x84c10cf8, 0x04a106b6),
TOBN(0xa9b26c95, 0xa73fbbd0), TOBN(0x7f24e0cb, 0x4d8f6ee8),
TOBN(0x48b45937, 0x1e25a043), TOBN(0xf8a74fca, 0x036f3dfe),
TOBN(0x1ed46585, 0xc9f84296), TOBN(0x7fbaa8fb, 0x3bc278b0),
TOBN(0xa8e96cd4, 0x6c4fcbd0), TOBN(0x940a1202, 0x73b60a5f),
TOBN(0x34aae120, 0x55a4aec8), TOBN(0x550e9a74, 0xdbd742f0),
TOBN(0x794456d7, 0x228c68ab), TOBN(0x492f8868, 0xa4e25ec6),
TOBN(0x682915ad, 0xb2d8f398), TOBN(0xf13b51cc, 0x5b84c953),
TOBN(0xcda90ab8, 0x5bb917d6), TOBN(0x4b615560, 0x4ea3dee1),
TOBN(0x578b4e85, 0x0a52c1c8), TOBN(0xeab1a695, 0x20b75fc4),
TOBN(0x60c14f3c, 0xaa0bb3c6), TOBN(0x220f448a, 0xb8216094),
TOBN(0x4fe7ee31, 0xb0e63d34), TOBN(0xf4600572, 0xa9e54fab),
TOBN(0xc0493334, 0xd5e7b5a4), TOBN(0x8589fb92, 0x06d54831),
TOBN(0xaa70f5cc, 0x6583553a), TOBN(0x0879094a, 0xe25649e5),
TOBN(0xcc904507, 0x10044652), TOBN(0xebb0696d, 0x02541c4f),
TOBN(0x5a171fde, 0xb9718710), TOBN(0x38f1bed8, 0xf374a9f5),
TOBN(0xc8c582e1, 0xba39bdc1), TOBN(0xfc457b0a, 0x908cc0ce),
TOBN(0x9a187fd4, 0x883841e2), TOBN(0x8ec25b39, 0x38725381),
TOBN(0x2553ed05, 0x96f84395), TOBN(0x095c7661, 0x6f6c6897),
TOBN(0x917ac85c, 0x4bdc5610), TOBN(0xb2885fe4, 0x179eb301),
TOBN(0x5fc65547, 0x8b78bdcc), TOBN(0x4a9fc893, 0xe59e4699),
TOBN(0xbb7ff0cd, 0x3ce299af), TOBN(0x195be9b3, 0xadf38b20),
TOBN(0x6a929c87, 0xd38ddb8f), TOBN(0x55fcc99c, 0xb21a51b9),
TOBN(0x2b695b4c, 0x721a4593), TOBN(0xed1e9a15, 0x768eaac2),
TOBN(0xfb63d71c, 0x7489f914), TOBN(0xf98ba31c, 0x78118910),
TOBN(0x80291373, 0x9b128eb4), TOBN(0x7801214e, 0xd448af4a),
TOBN(0xdbd2e22b, 0x55418dd3), TOBN(0xeffb3c0d, 0xd3998242),
TOBN(0xdfa6077c, 0xc7bf3827), TOBN(0xf2165bcb, 0x47f8238f),
TOBN(0xfe37cf68, 0x8564d554), TOBN(0xe5f825c4, 0x0a81fb98),
TOBN(0x43cc4f67, 0xffed4d6f), TOBN(0xbc609578, 0xb50a34b0),
TOBN(0x8aa8fcf9, 0x5041faf1), TOBN(0x5659f053, 0x651773b6),
TOBN(0xe87582c3, 0x6044d63b), TOBN(0xa6089409, 0x0cdb0ca0),
TOBN(0x8c993e0f, 0xbfb2bcf6), TOBN(0xfc64a719, 0x45985cfc),
TOBN(0x15c4da80, 0x83dbedba), TOBN(0x804ae112, 0x2be67df7),
TOBN(0xda4c9658, 0xa23defde), TOBN(0x12002ddd, 0x5156e0d3),
TOBN(0xe68eae89, 0x5dd21b96), TOBN(0x8b99f28b, 0xcf44624d),
TOBN(0x0ae00808, 0x1ec8897a), TOBN(0xdd0a9303, 0x6712f76e),
TOBN(0x96237522, 0x4e233de4), TOBN(0x192445b1, 0x2b36a8a5),
TOBN(0xabf9ff74, 0x023993d9), TOBN(0x21f37bf4, 0x2aad4a8f),
TOBN(0x340a4349, 0xf8bd2bbd), TOBN(0x1d902cd9, 0x4868195d),
TOBN(0x3d27bbf1, 0xe5fdb6f1), TOBN(0x7a5ab088, 0x124f9f1c),
TOBN(0xc466ab06, 0xf7a09e03), TOBN(0x2f8a1977, 0x31f2c123),
TOBN(0xda355dc7, 0x041b6657), TOBN(0xcb840d12, 0x8ece2a7c),
TOBN(0xb600ad9f, 0x7db32675), TOBN(0x78fea133, 0x07a06f1b),
TOBN(0x5d032269, 0xb31f6094), TOBN(0x07753ef5, 0x83ec37aa),
TOBN(0x03485aed, 0x9c0bea78), TOBN(0x41bb3989, 0xbc3f4524),
TOBN(0x09403761, 0x697f726d), TOBN(0x6109beb3, 0xdf394820),
TOBN(0x804111ea, 0x3b6d1145), TOBN(0xb6271ea9, 0xa8582654),
TOBN(0x619615e6, 0x24e66562), TOBN(0xa2554945, 0xd7b6ad9c),
TOBN(0xd9c4985e, 0x99bfe35f), TOBN(0x9770ccc0, 0x7b51cdf6),
TOBN(0x7c327013, 0x92881832), TOBN(0x8777d45f, 0x286b26d1),
TOBN(0x9bbeda22, 0xd847999d), TOBN(0x03aa33b6, 0xc3525d32),
TOBN(0x4b7b96d4, 0x28a959a1), TOBN(0xbb3786e5, 0x31e5d234),
TOBN(0xaeb5d3ce, 0x6961f247), TOBN(0x20aa85af, 0x02f93d3f),
TOBN(0x9cd1ad3d, 0xd7a7ae4f), TOBN(0xbf6688f0, 0x781adaa8),
TOBN(0xb1b40e86, 0x7469cead), TOBN(0x1904c524, 0x309fca48),
TOBN(0x9b7312af, 0x4b54bbc7), TOBN(0xbe24bf8f, 0x593affa2),
TOBN(0xbe5e0790, 0xbd98764b), TOBN(0xa0f45f17, 0xa26e299e),
TOBN(0x4af0d2c2, 0x6b8fe4c7), TOBN(0xef170db1, 0x8ae8a3e6),
TOBN(0x0e8d61a0, 0x29e0ccc1), TOBN(0xcd53e87e, 0x60ad36ca),
TOBN(0x328c6623, 0xc8173822), TOBN(0x7ee1767d, 0xa496be55),
TOBN(0x89f13259, 0x648945af), TOBN(0x9e45a5fd, 0x25c8009c),
TOBN(0xaf2febd9, 0x1f61ab8c), TOBN(0x43f6bc86, 0x8a275385),
TOBN(0x87792348, 0xf2142e79), TOBN(0x17d89259, 0xc6e6238a),
TOBN(0x7536d2f6, 0x4a839d9b), TOBN(0x1f428fce, 0x76a1fbdc),
TOBN(0x1c109601, 0x0db06dfe), TOBN(0xbfc16bc1, 0x50a3a3cc),
TOBN(0xf9cbd9ec, 0x9b30f41b), TOBN(0x5b5da0d6, 0x00138cce),
TOBN(0xec1d0a48, 0x56ef96a7), TOBN(0xb47eb848, 0x982bf842),
TOBN(0x66deae32, 0xec3f700d), TOBN(0x4e43c42c, 0xaa1181e0),
TOBN(0xa1d72a31, 0xd1a4aa2a), TOBN(0x440d4668, 0xc004f3ce),
TOBN(0x0d6a2d3b, 0x45fe8a7a), TOBN(0x820e52e2, 0xfb128365),
TOBN(0x29ac5fcf, 0x25e51b09), TOBN(0x180cd2bf, 0x2023d159),
TOBN(0xa9892171, 0xa1ebf90e), TOBN(0xf97c4c87, 0x7c132181),
TOBN(0x9f1dc724, 0xc03dbb7e), TOBN(0xae043765, 0x018cbbe4),
TOBN(0xfb0b2a36, 0x0767d153), TOBN(0xa8e2f4d6, 0x249cbaeb),
TOBN(0x172a5247, 0xd95ea168), TOBN(0x1758fada, 0x2970764a),
TOBN(0xac803a51, 0x1d978169), TOBN(0x299cfe2e, 0xde77e01b),
TOBN(0x652a1e17, 0xb0a98927), TOBN(0x2e26e1d1, 0x20014495),
TOBN(0x7ae0af9f, 0x7175b56a), TOBN(0xc2e22a80, 0xd64b9f95),
TOBN(0x4d0ff9fb, 0xd90a060a), TOBN(0x496a27db, 0xbaf38085),
TOBN(0x32305401, 0xda776bcf), TOBN(0xb8cdcef6, 0x725f209e),
TOBN(0x61ba0f37, 0x436a0bba), TOBN(0x263fa108, 0x76860049),
TOBN(0x92beb98e, 0xda3542cf), TOBN(0xa2d4d14a, 0xd5849538),
TOBN(0x989b9d68, 0x12e9a1bc), TOBN(0x61d9075c, 0x5f6e3268),
TOBN(0x352c6aa9, 0x99ace638), TOBN(0xde4e4a55, 0x920f43ff),
TOBN(0xe5e4144a, 0xd673c017), TOBN(0x667417ae, 0x6f6e05ea),
TOBN(0x613416ae, 0xdcd1bd56), TOBN(0x5eb36201, 0x86693711),
TOBN(0x2d7bc504, 0x3a1aa914), TOBN(0x175a1299, 0x76dc5975),
TOBN(0xe900e0f2, 0x3fc8125c), TOBN(0x569ef68c, 0x11198875),
TOBN(0x9012db63, 0x63a113b4), TOBN(0xe3bd3f56, 0x98835766),
TOBN(0xa5c94a52, 0x76412dea), TOBN(0xad9e2a09, 0xaa735e5c),
TOBN(0x405a984c, 0x508b65e9), TOBN(0xbde4a1d1, 0x6df1a0d1),
TOBN(0x1a9433a1, 0xdfba80da), TOBN(0xe9192ff9, 0x9440ad2e),
TOBN(0x9f649696, 0x5099fe92), TOBN(0x25ddb65c, 0x0b27a54a),
TOBN(0x178279dd, 0xc590da61), TOBN(0x5479a999, 0xfbde681a),
TOBN(0xd0e84e05, 0x013fe162), TOBN(0xbe11dc92, 0x632d471b),
TOBN(0xdf0b0c45, 0xfc0e089f), TOBN(0x04fb15b0, 0x4c144025),
TOBN(0xa61d5fc2, 0x13c99927), TOBN(0xa033e9e0, 0x3de2eb35),
TOBN(0xf8185d5c, 0xb8dacbb4), TOBN(0x9a88e265, 0x8644549d),
TOBN(0xf717af62, 0x54671ff6), TOBN(0x4bd4241b, 0x5fa58603),
TOBN(0x06fba40b, 0xe67773c0), TOBN(0xc1d933d2, 0x6a2847e9),
TOBN(0xf4f5acf3, 0x689e2c70), TOBN(0x92aab0e7, 0x46bafd31),
TOBN(0x798d76aa, 0x3473f6e5), TOBN(0xcc6641db, 0x93141934),
TOBN(0xcae27757, 0xd31e535e), TOBN(0x04cc43b6, 0x87c2ee11),
TOBN(0x8d1f9675, 0x2e029ffa), TOBN(0xc2150672, 0xe4cc7a2c),
TOBN(0x3b03c1e0, 0x8d68b013), TOBN(0xa9d6816f, 0xedf298f3),
TOBN(0x1bfbb529, 0xa2804464), TOBN(0x95a52fae, 0x5db22125),
TOBN(0x55b32160, 0x0e1cb64e), TOBN(0x004828f6, 0x7e7fc9fe),
TOBN(0x13394b82, 0x1bb0fb93), TOBN(0xb6293a2d, 0x35f1a920),
TOBN(0xde35ef21, 0xd145d2d9), TOBN(0xbe6225b3, 0xbb8fa603),
TOBN(0x00fc8f6b, 0x32cf252d), TOBN(0xa28e52e6, 0x117cf8c2),
TOBN(0x9d1dc89b, 0x4c371e6d), TOBN(0xcebe0675, 0x36ef0f28),
TOBN(0x5de05d09, 0xa4292f81), TOBN(0xa8303593, 0x353e3083),
TOBN(0xa1715b0a, 0x7e37a9bb), TOBN(0x8c56f61e, 0x2b8faec3),
TOBN(0x52507431, 0x33c9b102), TOBN(0x0130cefc, 0xa44431f0),
TOBN(0x56039fa0, 0xbd865cfb), TOBN(0x4b03e578, 0xbc5f1dd7),
TOBN(0x40edf2e4, 0xbabe7224), TOBN(0xc752496d, 0x3a1988f6),
TOBN(0xd1572d3b, 0x564beb6b), TOBN(0x0db1d110, 0x39a1c608),
TOBN(0x568d1934, 0x16f60126), TOBN(0x05ae9668, 0xf354af33),
TOBN(0x19de6d37, 0xc92544f2), TOBN(0xcc084353, 0xa35837d5),
TOBN(0xcbb6869c, 0x1a514ece), TOBN(0xb633e728, 0x2e1d1066),
TOBN(0xf15dd69f, 0x936c581c), TOBN(0x96e7b8ce, 0x7439c4f9),
TOBN(0x5e676f48, 0x2e448a5b), TOBN(0xb2ca7d5b, 0xfd916bbb),
TOBN(0xd55a2541, 0xf5024025), TOBN(0x47bc5769, 0xe4c2d937),
TOBN(0x7d31b92a, 0x0362189f), TOBN(0x83f3086e, 0xef7816f9),
TOBN(0xf9f46d94, 0xb587579a), TOBN(0xec2d22d8, 0x30e76c5f),
TOBN(0x27d57461, 0xb000ffcf), TOBN(0xbb7e65f9, 0x364ffc2c),
TOBN(0x7c7c9477, 0x6652a220), TOBN(0x61618f89, 0xd696c981),
TOBN(0x5021701d, 0x89effff3), TOBN(0xf2c8ff8e, 0x7c314163),
TOBN(0x2da413ad, 0x8efb4d3e), TOBN(0x937b5adf, 0xce176d95),
TOBN(0x22867d34, 0x2a67d51c), TOBN(0x262b9b10, 0x18eb3ac9),
TOBN(0x4e314fe4, 0xc43ff28b), TOBN(0x76476627, 0x6a664e7a),
TOBN(0x3e90e40b, 0xb7a565c2), TOBN(0x8588993a, 0xc1acf831),
TOBN(0xd7b501d6, 0x8f938829), TOBN(0x996627ee, 0x3edd7d4c),
TOBN(0x37d44a62, 0x90cd34c7), TOBN(0xa8327499, 0xf3833e8d),
TOBN(0x2e18917d, 0x4bf50353), TOBN(0x85dd726b, 0x556765fb),
TOBN(0x54fe65d6, 0x93d5ab66), TOBN(0x3ddbaced, 0x915c25fe),
TOBN(0xa799d9a4, 0x12f22e85), TOBN(0xe2a24867, 0x6d06f6bc),
TOBN(0xf4f1ee56, 0x43ca1637), TOBN(0xfda2828b, 0x61ece30a),
TOBN(0x758c1a3e, 0xa2dee7a6), TOBN(0xdcde2f3c, 0x734b2284),
TOBN(0xaba445d2, 0x4eaba6ad), TOBN(0x35aaf668, 0x76cee0a7),
TOBN(0x7e0b04a9, 0xe5aa049a), TOBN(0xe74083ad, 0x91103e84),
TOBN(0xbeb183ce, 0x40afecc3), TOBN(0x6b89de9f, 0xea043f7a),}
,
{TOBN(0x0e299d23, 0xfe67ba66), TOBN(0x91450760, 0x93cf2f34),
TOBN(0xf45b5ea9, 0x97fcf913), TOBN(0x5be00843, 0x8bd7ddda),
TOBN(0x358c3e05, 0xd53ff04d), TOBN(0xbf7ccdc3, 0x5de91ef7),
TOBN(0xad684dbf, 0xb69ec1a0), TOBN(0x367e7cf2, 0x801fd997),
TOBN(0x0ca1f3b7, 0xb0dc8595), TOBN(0x27de4608, 0x9f1d9f2e),
TOBN(0x1af3bf39, 0xbadd82a7), TOBN(0x79356a79, 0x65862448),
TOBN(0xc0602345, 0xf5f9a052), TOBN(0x1a8b0f89, 0x139a42f9),
TOBN(0xb53eee42, 0x844d40fc), TOBN(0x93b0bfe5, 0x4e5b6368),
TOBN(0x5434dd02, 0xc024789c), TOBN(0x90dca9ea, 0x41b57bfc),
TOBN(0x8aa898e2, 0x243398df), TOBN(0xf607c834, 0x894a94bb),
TOBN(0xbb07be97, 0xc2c99b76), TOBN(0x6576ba67, 0x18c29302),
TOBN(0x3d79efcc, 0xe703a88c), TOBN(0xf259ced7, 0xb6a0d106),
TOBN(0x0f893a5d, 0xc8de610b), TOBN(0xe8c515fb, 0x67e223ce),
TOBN(0x7774bfa6, 0x4ead6dc5), TOBN(0x89d20f95, 0x925c728f),
TOBN(0x7a1e0966, 0x098583ce), TOBN(0xa2eedb94, 0x93f2a7d7),
TOBN(0x1b282097, 0x4c304d4a), TOBN(0x0842e3da, 0xc077282d),
TOBN(0xe4d972a3, 0x3b9e2d7b), TOBN(0x7cc60b27, 0xc48218ff),
TOBN(0x8fc70838, 0x84149d91), TOBN(0x5c04346f, 0x2f461ecc),
TOBN(0xebe9fdf2, 0x614650a9), TOBN(0x5e35b537, 0xc1f666ac),
TOBN(0x645613d1, 0x88babc83), TOBN(0x88cace3a, 0xc5e1c93e),
TOBN(0x209ca375, 0x3de92e23), TOBN(0xccb03cc8, 0x5fbbb6e3),
TOBN(0xccb90f03, 0xd7b1487e), TOBN(0xfa9c2a38, 0xc710941f),
TOBN(0x756c3823, 0x6724ceed), TOBN(0x3a902258, 0x192d0323),
TOBN(0xb150e519, 0xea5e038e), TOBN(0xdcba2865, 0xc7427591),
TOBN(0xe549237f, 0x78890732), TOBN(0xc443bef9, 0x53fcb4d9),
TOBN(0x9884d8a6, 0xeb3480d6), TOBN(0x8a35b6a1, 0x3048b186),
TOBN(0xb4e44716, 0x65e9a90a), TOBN(0x45bf380d, 0x653006c0),
TOBN(0x8f3f820d, 0x4fe9ae3b), TOBN(0x244a35a0, 0x979a3b71),
TOBN(0xa1010e9d, 0x74cd06ff), TOBN(0x9c17c7df, 0xaca3eeac),
TOBN(0x74c86cd3, 0x8063aa2b), TOBN(0x8595c4b3, 0x734614ff),
TOBN(0xa3de00ca, 0x990f62cc), TOBN(0xd9bed213, 0xca0c3be5),
TOBN(0x7886078a, 0xdf8ce9f5), TOBN(0xddb27ce3, 0x5cd44444),
TOBN(0xed374a66, 0x58926ddd), TOBN(0x138b2d49, 0x908015b8),
TOBN(0x886c6579, 0xde1f7ab8), TOBN(0x888b9aa0, 0xc3020b7a),
TOBN(0xd3ec034e, 0x3a96e355), TOBN(0xba65b0b8, 0xf30fbe9a),
TOBN(0x064c8e50, 0xff21367a), TOBN(0x1f508ea4, 0x0b04b46e),
TOBN(0x98561a49, 0x747c866c), TOBN(0xbbb1e5fe, 0x0518a062),
TOBN(0x20ff4e8b, 0xecdc3608), TOBN(0x7f55cded, 0x20184027),
TOBN(0x8d73ec95, 0xf38c85f0), TOBN(0x5b589fdf, 0x8bc3b8c3),
TOBN(0xbe95dd98, 0x0f12b66f), TOBN(0xf5bd1a09, 0x0e338e01),
TOBN(0x65163ae5, 0x5e915918), TOBN(0x6158d6d9, 0x86f8a46b),
TOBN(0x8466b538, 0xeeebf99c), TOBN(0xca8761f6, 0xbca477ef),
TOBN(0xaf3449c2, 0x9ebbc601), TOBN(0xef3b0f41, 0xe0c3ae2f),
TOBN(0xaa6c577d, 0x5de63752), TOBN(0xe9166601, 0x64682a51),
TOBN(0x5a3097be, 0xfc15aa1e), TOBN(0x40d12548, 0xb54b0745),
TOBN(0x5bad4706, 0x519a5f12), TOBN(0xed03f717, 0xa439dee6),
TOBN(0x0794bb6c, 0x4a02c499), TOBN(0xf725083d, 0xcffe71d2),
TOBN(0x2cad7519, 0x0f3adcaf), TOBN(0x7f68ea1c, 0x43729310),
TOBN(0xe747c8c7, 0xb7ffd977), TOBN(0xec104c35, 0x80761a22),
TOBN(0x8395ebaf, 0x5a3ffb83), TOBN(0xfb3261f4, 0xe4b63db7),
TOBN(0x53544960, 0xd883e544), TOBN(0x13520d70, 0x8cc2eeb8),
TOBN(0x08f6337b, 0xd3d65f99), TOBN(0x83997db2, 0x781cf95b),
TOBN(0xce6ff106, 0x0dbd2c01), TOBN(0x4f8eea6b, 0x1f9ce934),
TOBN(0x546f7c4b, 0x0e993921), TOBN(0x6236a324, 0x5e753fc7),
TOBN(0x65a41f84, 0xa16022e9), TOBN(0x0c18d878, 0x43d1dbb2),
TOBN(0x73c55640, 0x2d4cef9c), TOBN(0xa0428108, 0x70444c74),
TOBN(0x68e4f15e, 0x9afdfb3c), TOBN(0x49a56143, 0x5bdfb6df),
TOBN(0xa9bc1bd4, 0x5f823d97), TOBN(0xbceb5970, 0xea111c2a),
TOBN(0x366b455f, 0xb269bbc4), TOBN(0x7cd85e1e, 0xe9bc5d62),
TOBN(0xc743c41c, 0x4f18b086), TOBN(0xa4b40990, 0x95294fb9),
TOBN(0x9c7c581d, 0x26ee8382), TOBN(0xcf17dcc5, 0x359d638e),
TOBN(0xee8273ab, 0xb728ae3d), TOBN(0x1d112926, 0xf821f047),
TOBN(0x11498477, 0x50491a74), TOBN(0x687fa761, 0xfde0dfb9),
TOBN(0x2c258022, 0x7ea435ab), TOBN(0x6b8bdb94, 0x91ce7e3f),
TOBN(0x4c5b5dc9, 0x3bf834aa), TOBN(0x04371819, 0x4f6c7e4b),
TOBN(0xc284e00a, 0x3736bcad), TOBN(0x0d881118, 0x21ae8f8d),
TOBN(0xf9cf0f82, 0xf48c8e33), TOBN(0xa11fd075, 0xa1bf40db),
TOBN(0xdceab0de, 0xdc2733e5), TOBN(0xc560a8b5, 0x8e986bd7),
TOBN(0x48dd1fe2, 0x3929d097), TOBN(0x3885b290, 0x92f188f1),
TOBN(0x0f2ae613, 0xda6fcdac), TOBN(0x9054303e, 0xb662a46c),
TOBN(0xb6871e44, 0x0738042a), TOBN(0x98e6a977, 0xbdaf6449),
TOBN(0xd8bc0650, 0xd1c9df1b), TOBN(0xef3d6451, 0x36e098f9),
TOBN(0x03fbae82, 0xb6d72d28), TOBN(0x77ca9db1, 0xf5d84080),
TOBN(0x8a112cff, 0xa58efc1c), TOBN(0x518d761c, 0xc564cb4a),
TOBN(0x69b5740e, 0xf0d1b5ce), TOBN(0x717039cc, 0xe9eb1785),
TOBN(0x3fe29f90, 0x22f53382), TOBN(0x8e54ba56, 0x6bc7c95c),
TOBN(0x9c806d8a, 0xf7f91d0f), TOBN(0x3b61b0f1, 0xa82a5728),
TOBN(0x4640032d, 0x94d76754), TOBN(0x273eb5de, 0x47d834c6),
TOBN(0x2988abf7, 0x7b4e4d53), TOBN(0xb7ce66bf, 0xde401777),
TOBN(0x9fba6b32, 0x715071b3), TOBN(0x82413c24, 0xad3a1a98),
TOBN(0x5b7fc8c4, 0xe0e8ad93), TOBN(0xb5679aee, 0x5fab868d),
TOBN(0xb1f9d2fa, 0x2b3946f3), TOBN(0x458897dc, 0x5685b50a),
TOBN(0x1e98c930, 0x89d0caf3), TOBN(0x39564c5f, 0x78642e92),
TOBN(0x1b77729a, 0x0dbdaf18), TOBN(0xf9170722, 0x579e82e6),
TOBN(0x680c0317, 0xe4515fa5), TOBN(0xf85cff84, 0xfb0c790f),
TOBN(0xc7a82aab, 0x6d2e0765), TOBN(0x7446bca9, 0x35c82b32),
TOBN(0x5de607aa, 0x6d63184f), TOBN(0x7c1a46a8, 0x262803a6),
TOBN(0xd218313d, 0xaebe8035), TOBN(0x92113ffd, 0xc73c51f8),
TOBN(0x4b38e083, 0x12e7e46c), TOBN(0x69d0a37a, 0x56126bd5),
TOBN(0xfb3f324b, 0x73c07e04), TOBN(0xa0c22f67, 0x8fda7267),
TOBN(0x8f2c0051, 0x4d2c7d8f), TOBN(0xbc45ced3, 0xcbe2cae5),
TOBN(0xe1c6cf07, 0xa8f0f277), TOBN(0xbc392312, 0x1eb99a98),
TOBN(0x75537b7e, 0x3cc8ac85), TOBN(0x8d725f57, 0xdd02753b),
TOBN(0xfd05ff64, 0xb737df2f), TOBN(0x55fe8712, 0xf6d2531d),
TOBN(0x57ce04a9, 0x6ab6b01c), TOBN(0x69a02a89, 0x7cd93724),
TOBN(0x4f82ac35, 0xcf86699b), TOBN(0x8242d3ad, 0x9cb4b232),
TOBN(0x713d0f65, 0xd62105e5), TOBN(0xbb222bfa, 0x2d29be61),
TOBN(0xf2f9a79e, 0x6cfbef09), TOBN(0xfc24d8d3, 0xd5d6782f),
TOBN(0x5db77085, 0xd4129967), TOBN(0xdb81c3cc, 0xdc3c2a43),
TOBN(0x9d655fc0, 0x05d8d9a3), TOBN(0x3f5d057a, 0x54298026),
TOBN(0x1157f56d, 0x88c54694), TOBN(0xb26baba5, 0x9b09573e),
TOBN(0x2cab03b0, 0x22adffd1), TOBN(0x60a412c8, 0xdd69f383),
TOBN(0xed76e98b, 0x54b25039), TOBN(0xd4ee67d3, 0x687e714d),
TOBN(0x87739648, 0x7b00b594), TOBN(0xce419775, 0xc9ef709b),
TOBN(0x40f76f85, 0x1c203a40), TOBN(0x30d352d6, 0xeafd8f91),
TOBN(0xaf196d3d, 0x95578dd2), TOBN(0xea4bb3d7, 0x77cc3f3d),
TOBN(0x42a5bd03, 0xb98e782b), TOBN(0xac958c40, 0x0624920d),
TOBN(0xb838134c, 0xfc56fcc8), TOBN(0x86ec4ccf, 0x89572e5e),
TOBN(0x69c43526, 0x9be47be0), TOBN(0x323b7dd8, 0xcb28fea1),
TOBN(0xfa5538ba, 0x3a6c67e5), TOBN(0xef921d70, 0x1d378e46),
TOBN(0xf92961fc, 0x3c4b880e), TOBN(0x3f6f914e, 0x98940a67),
TOBN(0xa990eb0a, 0xfef0ff39), TOBN(0xa6c2920f, 0xf0eeff9c),
TOBN(0xca804166, 0x51b8d9a3), TOBN(0x42531bc9, 0x0ffb0db1),
TOBN(0x72ce4718, 0xaa82e7ce), TOBN(0x6e199913, 0xdf574741),
TOBN(0xd5f1b13d, 0xd5d36946), TOBN(0x8255dc65, 0xf68f0194),
TOBN(0xdc9df4cd, 0x8710d230), TOBN(0x3453c20f, 0x138c1988),
TOBN(0x9af98dc0, 0x89a6ef01), TOBN(0x4dbcc3f0, 0x9857df85),
TOBN(0x34805601, 0x5c1ad924), TOBN(0x40448da5, 0xd0493046),
TOBN(0xf629926d, 0x4ee343e2), TOBN(0x6343f1bd, 0x90e8a301),
TOBN(0xefc93491, 0x40815b3f), TOBN(0xf882a423, 0xde8f66fb),
TOBN(0x3a12d5f4, 0xe7db9f57), TOBN(0x7dfba38a, 0x3c384c27),
TOBN(0x7a904bfd, 0x6fc660b1), TOBN(0xeb6c5db3, 0x2773b21c),
TOBN(0xc350ee66, 0x1cdfe049), TOBN(0x9baac0ce, 0x44540f29),
TOBN(0xbc57b6ab, 0xa5ec6aad), TOBN(0x167ce8c3, 0x0a7c1baa),
TOBN(0xb23a03a5, 0x53fb2b56), TOBN(0x6ce141e7, 0x4e057f78),
TOBN(0x796525c3, 0x89e490d9), TOBN(0x0bc95725, 0xa31a7e75),
TOBN(0x1ec56791, 0x1220fd06), TOBN(0x716e3a3c, 0x408b0bd6),
TOBN(0x31cd6bf7, 0xe8ebeba9), TOBN(0xa7326ca6, 0xbee6b670),
TOBN(0x3d9f851c, 0xcd090c43), TOBN(0x561e8f13, 0xf12c3988),
TOBN(0x50490b6a, 0x904b7be4), TOBN(0x61690ce1, 0x0410737b),
TOBN(0x299e9a37, 0x0f009052), TOBN(0x258758f0, 0xf026092e),
TOBN(0x9fa255f3, 0xfdfcdc0f), TOBN(0xdbc9fb1f, 0xc0e1bcd2),
TOBN(0x35f9dd6e, 0x24651840), TOBN(0xdca45a84, 0xa5c59abc),
TOBN(0x103d396f, 0xecca4938), TOBN(0x4532da0a, 0xb97b3f29),
TOBN(0xc4135ea5, 0x1999a6bf), TOBN(0x3aa9505a, 0x5e6bf2ee),
TOBN(0xf77cef06, 0x3f5be093), TOBN(0x97d1a0f8, 0xa943152e),
TOBN(0x2cb0ebba, 0x2e1c21dd), TOBN(0xf41b29fc, 0x2c6797c4),
TOBN(0xc6e17321, 0xb300101f), TOBN(0x4422b0e9, 0xd0d79a89),
TOBN(0x49e4901c, 0x92f1bfc4), TOBN(0x06ab1f8f, 0xe1e10ed9),
TOBN(0x84d35577, 0xdb2926b8), TOBN(0xca349d39, 0x356e8ec2),
TOBN(0x70b63d32, 0x343bf1a9), TOBN(0x8fd3bd28, 0x37d1a6b1),
TOBN(0x0454879c, 0x316865b4), TOBN(0xee959ff6, 0xc458efa2),
TOBN(0x0461dcf8, 0x9706dc3f), TOBN(0x737db0e2, 0x164e4b2e),
TOBN(0x09262680, 0x2f8843c8), TOBN(0x54498bbc, 0x7745e6f6),
TOBN(0x359473fa, 0xa29e24af), TOBN(0xfcc3c454, 0x70aa87a1),
TOBN(0xfd2c4bf5, 0x00573ace), TOBN(0xb65b514e, 0x28dd1965),
TOBN(0xe46ae7cf, 0x2193e393), TOBN(0x60e9a4e1, 0xf5444d97),
TOBN(0xe7594e96, 0x00ff38ed), TOBN(0x43d84d2f, 0x0a0e0f02),
TOBN(0x8b6db141, 0xee398a21), TOBN(0xb88a56ae, 0xe3bcc5be),
TOBN(0x0a1aa52f, 0x373460ea), TOBN(0x20da1a56, 0x160bb19b),
TOBN(0xfb54999d, 0x65bf0384), TOBN(0x71a14d24, 0x5d5a180e),
TOBN(0xbc44db7b, 0x21737b04), TOBN(0xd84fcb18, 0x01dd8e92),
TOBN(0x80de937b, 0xfa44b479), TOBN(0x53505499, 0x5c98fd4f),
TOBN(0x1edb12ab, 0x28f08727), TOBN(0x4c58b582, 0xa5f3ef53),
TOBN(0xbfb236d8, 0x8327f246), TOBN(0xc3a3bfaa, 0x4d7df320),
TOBN(0xecd96c59, 0xb96024f2), TOBN(0xfc293a53, 0x7f4e0433),
TOBN(0x5341352b, 0x5acf6e10), TOBN(0xc50343fd, 0xafe652c3),
TOBN(0x4af3792d, 0x18577a7f), TOBN(0xe1a4c617, 0xaf16823d),
TOBN(0x9b26d0cd, 0x33425d0a), TOBN(0x306399ed, 0x9b7bc47f),
TOBN(0x2a792f33, 0x706bb20b), TOBN(0x31219614, 0x98111055),
TOBN(0x864ec064, 0x87f5d28b), TOBN(0x11392d91, 0x962277fd),
TOBN(0xb5aa7942, 0xbb6aed5f), TOBN(0x080094dc, 0x47e799d9),
TOBN(0x4afa588c, 0x208ba19b), TOBN(0xd3e7570f, 0x8512f284),
TOBN(0xcbae64e6, 0x02f5799a), TOBN(0xdeebe7ef, 0x514b9492),
TOBN(0x30300f98, 0xe5c298ff), TOBN(0x17f561be, 0x3678361f),
TOBN(0xf52ff312, 0x98cb9a16), TOBN(0x6233c3bc, 0x5562d490),
TOBN(0x7bfa15a1, 0x92e3a2cb), TOBN(0x961bcfd1, 0xe6365119),
TOBN(0x3bdd29bf, 0x2c8c53b1), TOBN(0x739704df, 0x822844ba),
TOBN(0x7dacfb58, 0x7e7b754b), TOBN(0x23360791, 0xa806c9b9),
TOBN(0xe7eb88c9, 0x23504452), TOBN(0x2983e996, 0x852c1783),
TOBN(0xdd4ae529, 0x958d881d), TOBN(0x026bae03, 0x262c7b3c),
TOBN(0x3a6f9193, 0x960b52d1), TOBN(0xd0980f90, 0x92696cfb),
TOBN(0x4c1f428c, 0xd5f30851), TOBN(0x94dfed27, 0x2a4f6630),
TOBN(0x4df53772, 0xfc5d48a4), TOBN(0xdd2d5a2f, 0x933260ce),
TOBN(0x574115bd, 0xd44cc7a5), TOBN(0x4ba6b20d, 0xbd12533a),
TOBN(0x30e93cb8, 0x243057c9), TOBN(0x794c486a, 0x14de320e),
TOBN(0xe925d4ce, 0xf21496e4), TOBN(0xf951d198, 0xec696331),
TOBN(0x9810e2de, 0x3e8d812f), TOBN(0xd0a47259, 0x389294ab),
TOBN(0x513ba2b5, 0x0e3bab66), TOBN(0x462caff5, 0xabad306f),
TOBN(0xe2dc6d59, 0xaf04c49e), TOBN(0x1aeb8750, 0xe0b84b0b),
TOBN(0xc034f12f, 0x2f7d0ca2), TOBN(0x6d2e8128, 0xe06acf2f),
TOBN(0x801f4f83, 0x21facc2f), TOBN(0xa1170c03, 0xf40ef607),
TOBN(0xfe0a1d4f, 0x7805a99c), TOBN(0xbde56a36, 0xcc26aba5),
TOBN(0x5b1629d0, 0x35531f40), TOBN(0xac212c2b, 0x9afa6108),
TOBN(0x30a06bf3, 0x15697be5), TOBN(0x6f0545dc, 0x2c63c7c1),
TOBN(0x5d8cb842, 0x7ccdadaf), TOBN(0xd52e379b, 0xac7015bb),
TOBN(0xc4f56147, 0xf462c23e), TOBN(0xd44a4298, 0x46bc24b0),
TOBN(0xbc73d23a, 0xe2856d4f), TOBN(0x61cedd8c, 0x0832bcdf),
TOBN(0x60953556, 0x99f241d7), TOBN(0xee4adbd7, 0x001a349d),
TOBN(0x0b35bf6a, 0xaa89e491), TOBN(0x7f0076f4, 0x136f7546),
TOBN(0xd19a18ba, 0x9264da3d), TOBN(0x6eb2d2cd, 0x62a7a28b),
TOBN(0xcdba941f, 0x8761c971), TOBN(0x1550518b, 0xa3be4a5d),
TOBN(0xd0e8e2f0, 0x57d0b70c), TOBN(0xeea8612e, 0xcd133ba3),
TOBN(0x814670f0, 0x44416aec), TOBN(0x424db6c3, 0x30775061),
TOBN(0xd96039d1, 0x16213fd1), TOBN(0xc61e7fa5, 0x18a3478f),
TOBN(0xa805bdcc, 0xcb0c5021), TOBN(0xbdd6f3a8, 0x0cc616dd),
TOBN(0x06009667, 0x5d97f7e2), TOBN(0x31db0fc1, 0xaf0bf4b6),
TOBN(0x23680ed4, 0x5491627a), TOBN(0xb99a3c66, 0x7d741fb1),
TOBN(0xe9bb5f55, 0x36b1ff92), TOBN(0x29738577, 0x512b388d),
TOBN(0xdb8a2ce7, 0x50fcf263), TOBN(0x385346d4, 0x6c4f7b47),
TOBN(0xbe86c5ef, 0x31631f9e), TOBN(0xbf91da21, 0x03a57a29),
TOBN(0xc3b1f796, 0x7b23f821), TOBN(0x0f7d00d2, 0x770db354),
TOBN(0x8ffc6c3b, 0xd8fe79da), TOBN(0xcc5e8c40, 0xd525c996),
TOBN(0x4640991d, 0xcfff632a), TOBN(0x64d97e8c, 0x67112528),
TOBN(0xc232d973, 0x02f1cd1e), TOBN(0xce87eacb, 0x1dd212a4),
TOBN(0x6e4c8c73, 0xe69802f7), TOBN(0x12ef0290, 0x1fffddbd),
TOBN(0x941ec74e, 0x1bcea6e2), TOBN(0xd0b54024, 0x3cb92cbb),
TOBN(0x809fb9d4, 0x7e8f9d05), TOBN(0x3bf16159, 0xf2992aae),
TOBN(0xad40f279, 0xf8a7a838), TOBN(0x11aea631, 0x05615660),
TOBN(0xbf52e6f1, 0xa01f6fa1), TOBN(0xef046995, 0x3dc2aec9),
TOBN(0x785dbec9, 0xd8080711), TOBN(0xe1aec60a, 0x9fdedf76),
TOBN(0xece797b5, 0xfa21c126), TOBN(0xc66e898f, 0x05e52732),
TOBN(0x39bb69c4, 0x08811fdb), TOBN(0x8bfe1ef8, 0x2fc7f082),
TOBN(0xc8e7a393, 0x174f4138), TOBN(0xfba8ad1d, 0xd58d1f98),
TOBN(0xbc21d0ce, 0xbfd2fd5b), TOBN(0x0b839a82, 0x6ee60d61),
TOBN(0xaacf7658, 0xafd22253), TOBN(0xb526bed8, 0xaae396b3),
TOBN(0xccc1bbc2, 0x38564464), TOBN(0x9e3ff947, 0x8c45bc73),
TOBN(0xcde9bca3, 0x58188a78), TOBN(0x138b8ee0, 0xd73bf8f7),
TOBN(0x5c7e234c, 0x4123c489), TOBN(0x66e69368, 0xfa643297),
TOBN(0x0629eeee, 0x39a15fa3), TOBN(0x95fab881, 0xa9e2a927),
TOBN(0xb2497007, 0xeafbb1e1), TOBN(0xd75c9ce6, 0xe75b7a93),
TOBN(0x3558352d, 0xefb68d78), TOBN(0xa2f26699, 0x223f6396),
TOBN(0xeb911ecf, 0xe469b17a), TOBN(0x62545779, 0xe72d3ec2),
TOBN(0x8ea47de7, 0x82cb113f), TOBN(0xebe4b086, 0x4e1fa98d),
TOBN(0xec2d5ed7, 0x8cdfedb1), TOBN(0xa535c077, 0xfe211a74),
TOBN(0x9678109b, 0x11d244c5), TOBN(0xf17c8bfb, 0xbe299a76),
TOBN(0xb651412e, 0xfb11fbc4), TOBN(0xea0b5482, 0x94ab3f65),
TOBN(0xd8dffd95, 0x0cf78243), TOBN(0x2e719e57, 0xce0361d4),
TOBN(0x9007f085, 0x304ddc5b), TOBN(0x095e8c6d, 0x4daba2ea),
TOBN(0x5a33cdb4, 0x3f9d28a9), TOBN(0x85b95cd8, 0xe2283003),
TOBN(0xbcd6c819, 0xb9744733), TOBN(0x29c5f538, 0xfc7f5783),
TOBN(0x6c49b2fa, 0xd59038e4), TOBN(0x68349cc1, 0x3bbe1018),
TOBN(0xcc490c1d, 0x21830ee5), TOBN(0x36f9c4ee, 0xe9bfa297),
TOBN(0x58fd7294, 0x48de1a94), TOBN(0xaadb13a8, 0x4e8f2cdc),
TOBN(0x515eaaa0, 0x81313dba), TOBN(0xc76bb468, 0xc2152dd8),
TOBN(0x357f8d75, 0xa653dbf8), TOBN(0xe4d8c4d1, 0xb14ac143),
TOBN(0xbdb8e675, 0xb055cb40), TOBN(0x898f8e7b, 0x977b5167),
TOBN(0xecc65651, 0xb82fb863), TOBN(0x56544814, 0x6d88f01f),
TOBN(0xb0928e95, 0x263a75a9), TOBN(0xcfb6836f, 0x1a22fcda),
TOBN(0x651d14db, 0x3f3bd37c), TOBN(0x1d3837fb, 0xb6ad4664),
TOBN(0x7c5fb538, 0xff4f94ab), TOBN(0x7243c712, 0x6d7fb8f2),
TOBN(0xef13d60c, 0xa85c5287), TOBN(0x18cfb7c7, 0x4bb8dd1b),
TOBN(0x82f9bfe6, 0x72908219), TOBN(0x35c4592b, 0x9d5144ab),
TOBN(0x52734f37, 0x9cf4b42f), TOBN(0x6bac55e7, 0x8c60ddc4),
TOBN(0xb5cd811e, 0x94dea0f6), TOBN(0x259ecae4, 0xe18cc1a3),
TOBN(0x6a0e836e, 0x15e660f8), TOBN(0x6c639ea6, 0x0e02bff2),
TOBN(0x8721b8cb, 0x7e1026fd), TOBN(0x9e73b50b, 0x63261942),
TOBN(0xb8c70974, 0x77f01da3), TOBN(0x1839e6a6, 0x8268f57f),
TOBN(0x571b9415, 0x5150b805), TOBN(0x1892389e, 0xf92c7097),
TOBN(0x8d69c18e, 0x4a084b95), TOBN(0x7014c512, 0xbe5b495c),
TOBN(0x4780db36, 0x1b07523c), TOBN(0x2f6219ce, 0x2c1c64fa),
TOBN(0xc38b81b0, 0x602c105a), TOBN(0xab4f4f20, 0x5dc8e360),
TOBN(0x20d3c982, 0xcf7d62d2), TOBN(0x1f36e29d, 0x23ba8150),
TOBN(0x48ae0bf0, 0x92763f9e), TOBN(0x7a527e6b, 0x1d3a7007),
TOBN(0xb4a89097, 0x581a85e3), TOBN(0x1f1a520f, 0xdc158be5),
TOBN(0xf98db37d, 0x167d726e), TOBN(0x8802786e, 0x1113e862)}
,
{TOBN(0xefb2149e, 0x36f09ab0), TOBN(0x03f163ca, 0x4a10bb5b),
TOBN(0xd0297045, 0x06e20998), TOBN(0x56f0af00, 0x1b5a3bab),
TOBN(0x7af4cfec, 0x70880e0d), TOBN(0x7332a66f, 0xbe3d913f),
TOBN(0x32e6c84a, 0x7eceb4bd), TOBN(0xedc4a79a, 0x9c228f55),
TOBN(0xc37c7dd0, 0xc55c4496), TOBN(0xa6a96357, 0x25bbabd2),
TOBN(0x5b7e63f2, 0xadd7f363), TOBN(0x9dce3782, 0x2e73f1df),
TOBN(0xe1e5a16a, 0xb2b91f71), TOBN(0xe4489823, 0x5ba0163c),
TOBN(0xf2759c32, 0xf6e515ad), TOBN(0xa5e2f1f8, 0x8615eecf),
TOBN(0x74519be7, 0xabded551), TOBN(0x03d358b8, 0xc8b74410),
TOBN(0x4d00b10b, 0x0e10d9a9), TOBN(0x6392b0b1, 0x28da52b7),
TOBN(0x6744a298, 0x0b75c904), TOBN(0xc305b0ae, 0xa8f7f96c),
TOBN(0x042e421d, 0x182cf932), TOBN(0xf6fc5d50, 0x9e4636ca),
TOBN(0x795847c9, 0xd64cc78c), TOBN(0x6c50621b, 0x9b6cb27b),
TOBN(0x07099bf8, 0xdf8022ab), TOBN(0x48f862eb, 0xc04eda1d),
TOBN(0xd12732ed, 0xe1603c16), TOBN(0x19a80e0f, 0x5c9a9450),
TOBN(0xe2257f54, 0xb429b4fc), TOBN(0x66d3b2c6, 0x45460515),
TOBN(0x6ca4f87e, 0x822e37be), TOBN(0x73f237b4, 0x253bda4e),
TOBN(0xf747f3a2, 0x41190aeb), TOBN(0xf06fa36f, 0x804cf284),
TOBN(0x0a6bbb6e, 0xfc621c12), TOBN(0x5d624b64, 0x40b80ec6),
TOBN(0x4b072425, 0x7ba556f3), TOBN(0x7fa0c354, 0x3e2d20a8),
TOBN(0xe921fa31, 0xe3229d41), TOBN(0xa929c652, 0x94531bd4),
TOBN(0x84156027, 0xa6d38209), TOBN(0xf3d69f73, 0x6bdb97bd),
TOBN(0x8906d19a, 0x16833631), TOBN(0x68a34c2e, 0x03d51be3),
TOBN(0xcb59583b, 0x0e511cd8), TOBN(0x99ce6bfd, 0xfdc132a8),
TOBN(0x3facdaaa, 0xffcdb463), TOBN(0x658bbc1a, 0x34a38b08),
TOBN(0x12a801f8, 0xf1a9078d), TOBN(0x1567bcf9, 0x6ab855de),
TOBN(0xe08498e0, 0x3572359b), TOBN(0xcf0353e5, 0x8659e68b),
TOBN(0xbb86e9c8, 0x7d23807c), TOBN(0xbc08728d, 0x2198e8a2),
TOBN(0x8de2b7bc, 0x453cadd6), TOBN(0x203900a7, 0xbc0bc1f8),
TOBN(0xbcd86e47, 0xa6abd3af), TOBN(0x911cac12, 0x8502effb),
TOBN(0x2d550242, 0xec965469), TOBN(0x0e9f7692, 0x29e0017e),
TOBN(0x633f078f, 0x65979885), TOBN(0xfb87d449, 0x4cf751ef),
TOBN(0xe1790e4b, 0xfc25419a), TOBN(0x36467203, 0x4bff3cfd),
TOBN(0xc8db6386, 0x25b6e83f), TOBN(0x6cc69f23, 0x6cad6fd2),
TOBN(0x0219e45a, 0x6bc68bb9), TOBN(0xe43d79b6, 0x297f7334),
TOBN(0x7d445368, 0x465dc97c), TOBN(0x4b9eea32, 0x2a0b949a),
TOBN(0x1b96c6ba, 0x6102d021), TOBN(0xeaafac78, 0x2f4461ea),
TOBN(0xd4b85c41, 0xc49f19a8), TOBN(0x275c28e4, 0xcf538875),
TOBN(0x35451a9d, 0xdd2e54e0), TOBN(0x6991adb5, 0x0605618b),
TOBN(0x5b8b4bcd, 0x7b36cd24), TOBN(0x372a4f8c, 0x56f37216),
TOBN(0xc890bd73, 0xa6a5da60), TOBN(0x6f083da0, 0xdc4c9ff0),
TOBN(0xf4e14d94, 0xf0536e57), TOBN(0xf9ee1eda, 0xaaec8243),
TOBN(0x571241ec, 0x8bdcf8e7), TOBN(0xa5db8271, 0x0b041e26),
TOBN(0x9a0b9a99, 0xe3fff040), TOBN(0xcaaf21dd, 0x7c271202),
TOBN(0xb4e2b2e1, 0x4f0dd2e8), TOBN(0xe77e7c4f, 0x0a377ac7),
TOBN(0x69202c3f, 0x0d7a2198), TOBN(0xf759b7ff, 0x28200eb8),
TOBN(0xc87526ed, 0xdcfe314e), TOBN(0xeb84c524, 0x53d5cf99),
TOBN(0xb1b52ace, 0x515138b6), TOBN(0x5aa7ff8c, 0x23fca3f4),
TOBN(0xff0b13c3, 0xb9791a26), TOBN(0x960022da, 0xcdd58b16),
TOBN(0xdbd55c92, 0x57aad2de), TOBN(0x3baaaaa3, 0xf30fe619),
TOBN(0x9a4b2346, 0x0d881efd), TOBN(0x506416c0, 0x46325e2a),
TOBN(0x91381e76, 0x035c18d4), TOBN(0xb3bb68be, 0xf27817b0),
TOBN(0x15bfb8bf, 0x5116f937), TOBN(0x7c64a586, 0xc1268943),
TOBN(0x71e25cc3, 0x8419a2c8), TOBN(0x9fd6b0c4, 0x8335f463),
TOBN(0x4bf0ba3c, 0xe8ee0e0e), TOBN(0x6f6fba60, 0x298c21fa),
TOBN(0x57d57b39, 0xae66bee0), TOBN(0x292d5130, 0x22672544),
TOBN(0xf451105d, 0xbab093b3), TOBN(0x012f59b9, 0x02839986),
TOBN(0x8a915802, 0x3474a89c), TOBN(0x048c919c, 0x2de03e97),
TOBN(0xc476a2b5, 0x91071cd5), TOBN(0x791ed89a, 0x034970a5),
TOBN(0x89bd9042, 0xe1b7994b), TOBN(0x8eaf5179, 0xa1057ffd),
TOBN(0x6066e2a2, 0xd551ee10), TOBN(0x87a8f1d8, 0x727e09a6),
TOBN(0x00d08bab, 0x2c01148d), TOBN(0x6da8e4f1, 0x424f33fe),
TOBN(0x466d17f0, 0xcf9a4e71), TOBN(0xff502010, 0x3bf5cb19),
TOBN(0xdccf97d8, 0xd062ecc0), TOBN(0x80c0d9af, 0x81d80ac4),
TOBN(0xe87771d8, 0x033f2876), TOBN(0xb0186ec6, 0x7d5cc3db),
TOBN(0x58e8bb80, 0x3bc9bc1d), TOBN(0x4d1395cc, 0x6f6ef60e),
TOBN(0xa73c62d6, 0x186244a0), TOBN(0x918e5f23, 0x110a5b53),
TOBN(0xed4878ca, 0x741b7eab), TOBN(0x3038d71a, 0xdbe03e51),
TOBN(0x840204b7, 0xa93c3246), TOBN(0x21ab6069, 0xa0b9b4cd),
TOBN(0xf5fa6e2b, 0xb1d64218), TOBN(0x1de6ad0e, 0xf3d56191),
TOBN(0x570aaa88, 0xff1929c7), TOBN(0xc6df4c6b, 0x640e87b5),
TOBN(0xde8a74f2, 0xc65f0ccc), TOBN(0x8b972fd5, 0xe6f6cc01),
TOBN(0x3fff36b6, 0x0b846531), TOBN(0xba7e45e6, 0x10a5e475),
TOBN(0x84a1d10e, 0x4145b6c5), TOBN(0xf1f7f91a, 0x5e046d9d),
TOBN(0x0317a692, 0x44de90d7), TOBN(0x951a1d4a, 0xf199c15e),
TOBN(0x91f78046, 0xc9d73deb), TOBN(0x74c82828, 0xfab8224f),
TOBN(0xaa6778fc, 0xe7560b90), TOBN(0xb4073e61, 0xa7e824ce),
TOBN(0xff0d693c, 0xd642eba8), TOBN(0x7ce2e57a, 0x5dccef38),
TOBN(0x89c2c789, 0x1df1ad46), TOBN(0x83a06922, 0x098346fd),
TOBN(0x2d715d72, 0xda2fc177), TOBN(0x7b6dd71d, 0x85b6cf1d),
TOBN(0xc60a6d0a, 0x73fa9cb0), TOBN(0xedd3992e, 0x328bf5a9),
TOBN(0xc380ddd0, 0x832c8c82), TOBN(0xd182d410, 0xa2a0bf50),
TOBN(0x7d9d7438, 0xd9a528db), TOBN(0xe8b1a0e9, 0xcaf53994),
TOBN(0xddd6e5fe, 0x0e19987c), TOBN(0xacb8df03, 0x190b059d),
TOBN(0x53703a32, 0x8300129f), TOBN(0x1f637662, 0x68c43bfd),
TOBN(0xbcbd1913, 0x00e54051), TOBN(0x812fcc62, 0x7bf5a8c5),
TOBN(0x3f969d5f, 0x29fb85da), TOBN(0x72f4e00a, 0x694759e8),
TOBN(0x426b6e52, 0x790726b7), TOBN(0x617bbc87, 0x3bdbb209),
TOBN(0x511f8bb9, 0x97aee317), TOBN(0x812a4096, 0xe81536a8),
TOBN(0x137dfe59, 0x3ac09b9b), TOBN(0x0682238f, 0xba8c9a7a),
TOBN(0x7072ead6, 0xaeccb4bd), TOBN(0x6a34e9aa, 0x692ba633),
TOBN(0xc82eaec2, 0x6fff9d33), TOBN(0xfb753512, 0x1d4d2b62),
TOBN(0x1a0445ff, 0x1d7aadab), TOBN(0x65d38260, 0xd5f6a67c),
TOBN(0x6e62fb08, 0x91cfb26f), TOBN(0xef1e0fa5, 0x5c7d91d6),
TOBN(0x47e7c7ba, 0x33db72cd), TOBN(0x017cbc09, 0xfa7c74b2),
TOBN(0x3c931590, 0xf50a503c), TOBN(0xcac54f60, 0x616baa42),
TOBN(0x9b6cd380, 0xb2369f0f), TOBN(0x97d3a70d, 0x23c76151),
TOBN(0x5f9dd6fc, 0x9862a9c6), TOBN(0x044c4ab2, 0x12312f51),
TOBN(0x035ea0fd, 0x834a2ddc), TOBN(0x49e6b862, 0xcc7b826d),
TOBN(0xb03d6883, 0x62fce490), TOBN(0x62f2497a, 0xb37e36e9),
TOBN(0x04b005b6, 0xc6458293), TOBN(0x36bb5276, 0xe8d10af7),
TOBN(0xacf2dc13, 0x8ee617b8), TOBN(0x470d2d35, 0xb004b3d4),
TOBN(0x06790832, 0xfeeb1b77), TOBN(0x2bb75c39, 0x85657f9c),
TOBN(0xd70bd4ed, 0xc0f60004), TOBN(0xfe797ecc, 0x219b018b),
TOBN(0x9b5bec2a, 0x753aebcc), TOBN(0xdaf9f3dc, 0xc939eca5),
TOBN(0xd6bc6833, 0xd095ad09), TOBN(0x98abdd51, 0xdaa4d2fc),
TOBN(0xd9840a31, 0x8d168be5), TOBN(0xcf7c10e0, 0x2325a23c),
TOBN(0xa5c02aa0, 0x7e6ecfaf), TOBN(0x2462e7e6, 0xb5bfdf18),
TOBN(0xab2d8a8b, 0xa0cc3f12), TOBN(0x68dd485d, 0xbc672a29),
TOBN(0x72039752, 0x596f2cd3), TOBN(0x5d3eea67, 0xa0cf3d8d),
TOBN(0x810a1a81, 0xe6602671), TOBN(0x8f144a40, 0x14026c0c),
TOBN(0xbc753a6d, 0x76b50f85), TOBN(0xc4dc21e8, 0x645cd4a4),
TOBN(0xc5262dea, 0x521d0378), TOBN(0x802b8e0e, 0x05011c6f),
TOBN(0x1ba19cbb, 0x0b4c19ea), TOBN(0x21db64b5, 0xebf0aaec),
TOBN(0x1f394ee9, 0x70342f9d), TOBN(0x93a10aee, 0x1bc44a14),
TOBN(0xa7eed31b, 0x3efd0baa), TOBN(0x6e7c824e, 0x1d154e65),
TOBN(0xee23fa81, 0x9966e7ee), TOBN(0x64ec4aa8, 0x05b7920d),
TOBN(0x2d44462d, 0x2d90aad4), TOBN(0xf44dd195, 0xdf277ad5),
TOBN(0x8d6471f1, 0xbb46b6a1), TOBN(0x1e65d313, 0xfd885090),
TOBN(0x33a800f5, 0x13a977b4), TOBN(0xaca9d721, 0x0797e1ef),
TOBN(0x9a5a85a0, 0xfcff6a17), TOBN(0x9970a3f3, 0x1eca7cee),
TOBN(0xbb9f0d6b, 0xc9504be3), TOBN(0xe0c504be, 0xadd24ee2),
TOBN(0x7e09d956, 0x77fcc2f4), TOBN(0xef1a5227, 0x65bb5fc4),
TOBN(0x145d4fb1, 0x8b9286aa), TOBN(0x66fd0c5d, 0x6649028b),
TOBN(0x98857ceb, 0x1bf4581c), TOBN(0xe635e186, 0xaca7b166),
TOBN(0x278ddd22, 0x659722ac), TOBN(0xa0903c4c, 0x1db68007),
TOBN(0x366e4589, 0x48f21402), TOBN(0x31b49c14, 0xb96abda2),
TOBN(0x329c4b09, 0xe0403190), TOBN(0x97197ca3, 0xd29f43fe),
TOBN(0x8073dd1e, 0x274983d8), TOBN(0xda1a3bde, 0x55717c8f),
TOBN(0xfd3d4da2, 0x0361f9d1), TOBN(0x1332d081, 0x4c7de1ce),
TOBN(0x9b7ef7a3, 0xaa6d0e10), TOBN(0x17db2e73, 0xf54f1c4a),
TOBN(0xaf3dffae, 0x4cd35567), TOBN(0xaaa2f406, 0xe56f4e71),
TOBN(0x8966759e, 0x7ace3fc7), TOBN(0x9594eacf, 0x45a8d8c6),
TOBN(0x8de3bd8b, 0x91834e0e), TOBN(0xafe4ca53, 0x548c0421),
TOBN(0xfdd7e856, 0xe6ee81c6), TOBN(0x8f671beb, 0x6b891a3a),
TOBN(0xf7a58f2b, 0xfae63829), TOBN(0x9ab186fb, 0x9c11ac9f),
TOBN(0x8d6eb369, 0x10b5be76), TOBN(0x046b7739, 0xfb040bcd),
TOBN(0xccb4529f, 0xcb73de88), TOBN(0x1df0fefc, 0xcf26be03),
TOBN(0xad7757a6, 0xbcfcd027), TOBN(0xa8786c75, 0xbb3165ca),
TOBN(0xe9db1e34, 0x7e99a4d9), TOBN(0x99ee86df, 0xb06c504b),
TOBN(0x5b7c2ddd, 0xc15c9f0a), TOBN(0xdf87a734, 0x4295989e),
TOBN(0x59ece47c, 0x03d08fda), TOBN(0xb074d3dd, 0xad5fc702),
TOBN(0x20407903, 0x51a03776), TOBN(0x2bb1f77b, 0x2a608007),
TOBN(0x25c58f4f, 0xe1153185), TOBN(0xe6df62f6, 0x766e6447),
TOBN(0xefb3d1be, 0xed51275a), TOBN(0x5de47dc7, 0x2f0f483f),
TOBN(0x7932d98e, 0x97c2bedf), TOBN(0xd5c11927, 0x0219f8a1),
TOBN(0x9d751200, 0xa73a294e), TOBN(0x5f88434a, 0x9dc20172),
TOBN(0xd28d9fd3, 0xa26f506a), TOBN(0xa890cd31, 0x9d1dcd48),
TOBN(0x0aebaec1, 0x70f4d3b4), TOBN(0xfd1a1369, 0x0ffc8d00),
TOBN(0xb9d9c240, 0x57d57838), TOBN(0x45929d26, 0x68bac361),
TOBN(0x5a2cd060, 0x25b15ca6), TOBN(0x4b3c83e1, 0x6e474446),
TOBN(0x1aac7578, 0xee1e5134), TOBN(0xa418f5d6, 0xc91e2f41),
TOBN(0x6936fc8a, 0x213ed68b), TOBN(0x860ae7ed, 0x510a5224),
TOBN(0x63660335, 0xdef09b53), TOBN(0x641b2897, 0xcd79c98d),
TOBN(0x29bd38e1, 0x01110f35), TOBN(0x79c26f42, 0x648b1937),
TOBN(0x64dae519, 0x9d9164f4), TOBN(0xd85a2310, 0x0265c273),
TOBN(0x7173dd5d, 0x4b07e2b1), TOBN(0xd144c4cb, 0x8d9ea221),
TOBN(0xe8b04ea4, 0x1105ab14), TOBN(0x92dda542, 0xfe80d8f1),
TOBN(0xe9982fa8, 0xcf03dce6), TOBN(0x8b5ea965, 0x1a22cffc),
TOBN(0xf7f4ea7f, 0x3fad88c4), TOBN(0x62db773e, 0x6a5ba95c),
TOBN(0xd20f02fb, 0x93f24567), TOBN(0xfd46c69a, 0x315257ca),
TOBN(0x0ac74cc7, 0x8bcab987), TOBN(0x46f31c01, 0x5ceca2f5),
TOBN(0x40aedb59, 0x888b219e), TOBN(0xe50ecc37, 0xe1fccd02),
TOBN(0x1bcd9dad, 0x911f816c), TOBN(0x583cc1ec, 0x8db9b00c),
TOBN(0xf3cd2e66, 0xa483bf11), TOBN(0xfa08a6f5, 0xb1b2c169),
TOBN(0xf375e245, 0x4be9fa28), TOBN(0x99a7ffec, 0x5b6d011f),
TOBN(0x6a3ebddb, 0xc4ae62da), TOBN(0x6cea00ae, 0x374aef5d),
TOBN(0xab5fb98d, 0x9d4d05bc), TOBN(0x7cba1423, 0xd560f252),
TOBN(0x49b2cc21, 0x208490de), TOBN(0x1ca66ec3, 0xbcfb2879),
TOBN(0x7f1166b7, 0x1b6fb16f), TOBN(0xfff63e08, 0x65fe5db3),
TOBN(0xb8345abe, 0x8b2610be), TOBN(0xb732ed80, 0x39de3df4),
TOBN(0x0e24ed50, 0x211c32b4), TOBN(0xd10d8a69, 0x848ff27d),
TOBN(0xc1074398, 0xed4de248), TOBN(0xd7cedace, 0x10488927),
TOBN(0xa4aa6bf8, 0x85673e13), TOBN(0xb46bae91, 0x6daf30af),
TOBN(0x07088472, 0xfcef7ad8), TOBN(0x61151608, 0xd4b35e97),
TOBN(0xbcfe8f26, 0xdde29986), TOBN(0xeb84c4c7, 0xd5a34c79),
TOBN(0xc1eec55c, 0x164e1214), TOBN(0x891be86d, 0xa147bb03),
TOBN(0x9fab4d10, 0x0ba96835), TOBN(0xbf01e9b8, 0xa5c1ae9f),
TOBN(0x6b4de139, 0xb186ebc0), TOBN(0xd5c74c26, 0x85b91bca),
TOBN(0x5086a99c, 0xc2d93854), TOBN(0xeed62a7b, 0xa7a9dfbc),
TOBN(0x8778ed6f, 0x76b7618a), TOBN(0xbff750a5, 0x03b66062),
TOBN(0x4cb7be22, 0xb65186db), TOBN(0x369dfbf0, 0xcc3a6d13),
TOBN(0xc7dab26c, 0x7191a321), TOBN(0x9edac3f9, 0x40ed718e),
TOBN(0xbc142b36, 0xd0cfd183), TOBN(0xc8af82f6, 0x7c991693),
TOBN(0xb3d1e4d8, 0x97ce0b2a), TOBN(0xe6d7c87f, 0xc3a55cdf),
TOBN(0x35846b95, 0x68b81afe), TOBN(0x018d12af, 0xd3c239d8),
TOBN(0x2b2c6208, 0x01206e15), TOBN(0xe0e42453, 0xa3b882c6),
TOBN(0x854470a3, 0xa50162d5), TOBN(0x08157478, 0x7017a62a),
TOBN(0x18bd3fb4, 0x820357c7), TOBN(0x992039ae, 0x6f1458ad),
TOBN(0x9a1df3c5, 0x25b44aa1), TOBN(0x2d780357, 0xed3d5281),
TOBN(0x58cf7e4d, 0xc77ad4d4), TOBN(0xd49a7998, 0xf9df4fc4),
TOBN(0x4465a8b5, 0x1d71205e), TOBN(0xa0ee0ea6, 0x649254aa),
TOBN(0x4b5eeecf, 0xab7bd771), TOBN(0x6c873073, 0x35c262b9),
TOBN(0xdc5bd648, 0x3c9d61e7), TOBN(0x233d6d54, 0x321460d2),
TOBN(0xd20c5626, 0xfc195bcc), TOBN(0x25445958, 0x04d78b63),
TOBN(0xe03fcb3d, 0x17ec8ef3), TOBN(0x54b690d1, 0x46b8f781),
TOBN(0x82fa2c8a, 0x21230646), TOBN(0xf51aabb9, 0x084f418c),
TOBN(0xff4fbec1, 0x1a30ba43), TOBN(0x6a5acf73, 0x743c9df7),
TOBN(0x1da2b357, 0xd635b4d5), TOBN(0xc3de68dd, 0xecd5c1da),
TOBN(0xa689080b, 0xd61af0dd), TOBN(0xdea5938a, 0xd665bf99),
TOBN(0x0231d71a, 0xfe637294), TOBN(0x01968aa6, 0xa5a81cd8),
TOBN(0x11252d50, 0x048e63b5), TOBN(0xc446bc52, 0x6ca007e9),
TOBN(0xef8c50a6, 0x96d6134b), TOBN(0x9361fbf5, 0x9e09a05c),
TOBN(0xf17f85a6, 0xdca3291a), TOBN(0xb178d548, 0xff251a21),
TOBN(0x87f6374b, 0xa4df3915), TOBN(0x566ce1bf, 0x2fd5d608),
TOBN(0x425cba4d, 0x7de35102), TOBN(0x6b745f8f, 0x58c5d5e2),
TOBN(0x88402af6, 0x63122edf), TOBN(0x3190f9ed, 0x3b989a89),
TOBN(0x4ad3d387, 0xebba3156), TOBN(0xef385ad9, 0xc7c469a5),
TOBN(0xb08281de, 0x3f642c29), TOBN(0x20be0888, 0x910ffb88),
TOBN(0xf353dd4a, 0xd5292546), TOBN(0x3f1627de, 0x8377a262),
TOBN(0xa5faa013, 0xeefcd638), TOBN(0x8f3bf626, 0x74cc77c3),
TOBN(0x32618f65, 0xa348f55e), TOBN(0x5787c0dc, 0x9fefeb9e),
TOBN(0xf1673aa2, 0xd9a23e44), TOBN(0x88dfa993, 0x4e10690d),
TOBN(0x1ced1b36, 0x2bf91108), TOBN(0x9193ceca, 0x3af48649),
TOBN(0xfb34327d, 0x2d738fc5), TOBN(0x6697b037, 0x975fee6c),
TOBN(0x2f485da0, 0xc04079a5), TOBN(0x2cdf5735, 0x2feaa1ac),
TOBN(0x76944420, 0xbd55659e), TOBN(0x7973e32b, 0x4376090c),
TOBN(0x86bb4fe1, 0x163b591a), TOBN(0x10441aed, 0xc196f0ca),
TOBN(0x3b431f4a, 0x045ad915), TOBN(0x6c11b437, 0xa4afacb1),
TOBN(0x30b0c7db, 0x71fdbbd8), TOBN(0xb642931f, 0xeda65acd),
TOBN(0x4baae6e8, 0x9c92b235), TOBN(0xa73bbd0e, 0x6b3993a1),
TOBN(0xd06d60ec, 0x693dd031), TOBN(0x03cab91b, 0x7156881c),
TOBN(0xd615862f, 0x1db3574b), TOBN(0x485b0185, 0x64bb061a),
TOBN(0x27434988, 0xa0181e06), TOBN(0x2cd61ad4, 0xc1c0c757),
TOBN(0x3effed5a, 0x2ff9f403), TOBN(0x8dc98d8b, 0x62239029),
TOBN(0x2206021e, 0x1f17b70d), TOBN(0xafbec0ca, 0xbf510015),
TOBN(0x9fed7164, 0x80130dfa), TOBN(0x306dc2b5, 0x8a02dcf5),
TOBN(0x48f06620, 0xfeb10fc0), TOBN(0x78d1e1d5, 0x5a57cf51),
TOBN(0xadef8c5a, 0x192ef710), TOBN(0x88afbd4b, 0x3b7431f9),
TOBN(0x7e1f7407, 0x64250c9e), TOBN(0x6e31318d, 0xb58bec07),
TOBN(0xfd4fc4b8, 0x24f89b4e), TOBN(0x65a5dd88, 0x48c36a2a),
TOBN(0x4f1eccff, 0xf024baa7), TOBN(0x22a21cf2, 0xcba94650),
TOBN(0x95d29dee, 0x42a554f7), TOBN(0x828983a5, 0x002ec4ba),
TOBN(0x8112a1f7, 0x8badb73d), TOBN(0x79ea8897, 0xa27c1839),
TOBN(0x8969a5a7, 0xd065fd83), TOBN(0xf49af791, 0xb262a0bc),
TOBN(0xfcdea8b6, 0xaf2b5127), TOBN(0x10e913e1, 0x564c2dbc),
TOBN(0x51239d14, 0xbc21ef51), TOBN(0xe51c3ceb, 0x4ce57292),
TOBN(0x795ff068, 0x47bbcc3b), TOBN(0x86b46e1e, 0xbd7e11e6),
TOBN(0x0ea6ba23, 0x80041ef4), TOBN(0xd72fe505, 0x6262342e),
TOBN(0x8abc6dfd, 0x31d294d4), TOBN(0xbbe017a2, 0x1278c2c9),
TOBN(0xb1fcfa09, 0xb389328a), TOBN(0x322fbc62, 0xd01771b5),
TOBN(0x04c0d063, 0x60b045bf), TOBN(0xdb652edc, 0x10e52d01),
TOBN(0x50ef932c, 0x03ec6627), TOBN(0xde1b3b2d, 0xc1ee50e3),
TOBN(0x5ab7bdc5, 0xdc37a90d), TOBN(0xfea67213, 0x31e33a96),
TOBN(0x6482b5cb, 0x4f2999aa), TOBN(0x38476cc6, 0xb8cbf0dd),
TOBN(0x93ebfacb, 0x173405bb), TOBN(0x15cdafe7, 0xe52369ec),
TOBN(0xd42d5ba4, 0xd935b7db), TOBN(0x648b6004, 0x1c99a4cd),
TOBN(0x785101bd, 0xa3b5545b), TOBN(0x4bf2c38a, 0x9dd67faf),
TOBN(0xb1aadc63, 0x4442449c), TOBN(0xe0e9921a, 0x33ad4fb8),
TOBN(0x5c552313, 0xaa686d82), TOBN(0xdee635fa, 0x465d866c),
TOBN(0xbc3c224a, 0x18ee6e8a), TOBN(0xeed748a6, 0xed42e02f),
TOBN(0xe70f930a, 0xd474cd08), TOBN(0x774ea6ec, 0xfff24adf),
TOBN(0x03e2de1c, 0xf3480d4a), TOBN(0xf0d8edc7, 0xbc8acf1a),
TOBN(0xf23e3303, 0x68295a9c), TOBN(0xfadd5f68, 0xc546a97d),
TOBN(0x895597ad, 0x96f8acb1), TOBN(0xbddd49d5, 0x671bdae2),
TOBN(0x16fcd528, 0x21dd43f4), TOBN(0xa5a45412, 0x6619141a)}
,
{TOBN(0x8ce9b6bf, 0xc360e25a), TOBN(0xe6425195, 0x075a1a78),
TOBN(0x9dc756a8, 0x481732f4), TOBN(0x83c0440f, 0x5432b57a),
TOBN(0xc670b3f1, 0xd720281f), TOBN(0x2205910e, 0xd135e051),
TOBN(0xded14b0e, 0xdb052be7), TOBN(0x697b3d27, 0xc568ea39),
TOBN(0x2e599b9a, 0xfb3ff9ed), TOBN(0x28c2e0ab, 0x17f6515c),
TOBN(0x1cbee4fd, 0x474da449), TOBN(0x071279a4, 0x4f364452),
TOBN(0x97abff66, 0x01fbe855), TOBN(0x3ee394e8, 0x5fda51c4),
TOBN(0x190385f6, 0x67597c0b), TOBN(0x6e9fccc6, 0xa27ee34b),
TOBN(0x0b89de93, 0x14092ebb), TOBN(0xf17256bd, 0x428e240c),
TOBN(0xcf89a7f3, 0x93d2f064), TOBN(0x4f57841e, 0xe1ed3b14),
TOBN(0x4ee14405, 0xe708d855), TOBN(0x856aae72, 0x03f1c3d0),
TOBN(0xc8e5424f, 0xbdd7eed5), TOBN(0x3333e4ef, 0x73ab4270),
TOBN(0x3bc77ade, 0xdda492f8), TOBN(0xc11a3aea, 0x78297205),
TOBN(0x5e89a3e7, 0x34931b4c), TOBN(0x17512e2e, 0x9f5694bb),
TOBN(0x5dc349f3, 0x177bf8b6), TOBN(0x232ea4ba, 0x08c7ff3e),
TOBN(0x9c4f9d16, 0xf511145d), TOBN(0xccf109a3, 0x33b379c3),
TOBN(0xe75e7a88, 0xa1f25897), TOBN(0x7ac6961f, 0xa1b5d4d8),
TOBN(0xe3e10773, 0x08f3ed5c), TOBN(0x208a54ec, 0x0a892dfb),
TOBN(0xbe826e19, 0x78660710), TOBN(0x0cf70a97, 0x237df2c8),
TOBN(0x418a7340, 0xed704da5), TOBN(0xa3eeb9a9, 0x08ca33fd),
TOBN(0x49d96233, 0x169bca96), TOBN(0x04d286d4, 0x2da6aafb),
TOBN(0xc09606ec, 0xa0c2fa94), TOBN(0x8869d0d5, 0x23ff0fb3),
TOBN(0xa99937e5, 0xd0150d65), TOBN(0xa92e2503, 0x240c14c9),
TOBN(0x656bf945, 0x108e2d49), TOBN(0x152a733a, 0xa2f59e2b),
TOBN(0xb4323d58, 0x8434a920), TOBN(0xc0af8e93, 0x622103c5),
TOBN(0x667518ef, 0x938dbf9a), TOBN(0xa1843073, 0x83a9cdf2),
TOBN(0x350a94aa, 0x5447ab80), TOBN(0xe5e5a325, 0xc75a3d61),
TOBN(0x74ba507f, 0x68411a9e), TOBN(0x10581fc1, 0x594f70c5),
TOBN(0x60e28570, 0x80eb24a9), TOBN(0x7bedfb4d, 0x488e0cfd),
TOBN(0x721ebbd7, 0xc259cdb8), TOBN(0x0b0da855, 0xbc6390a9),
TOBN(0x2b4d04db, 0xde314c70), TOBN(0xcdbf1fbc, 0x6c32e846),
TOBN(0x33833eab, 0xb162fc9e), TOBN(0x9939b48b, 0xb0dd3ab7),
TOBN(0x5aaa98a7, 0xcb0c9c8c), TOBN(0x75105f30, 0x81c4375c),
TOBN(0xceee5057, 0x5ef1c90f), TOBN(0xb31e065f, 0xc23a17bf),
TOBN(0x5364d275, 0xd4b6d45a), TOBN(0xd363f3ad, 0x62ec8996),
TOBN(0xb5d21239, 0x4391c65b), TOBN(0x84564765, 0xebb41b47),
TOBN(0x20d18ecc, 0x37107c78), TOBN(0xacff3b6b, 0x570c2a66),
TOBN(0x22f975d9, 0x9bd0d845), TOBN(0xef0a0c46, 0xba178fa0),
TOBN(0x1a419651, 0x76b6028e), TOBN(0xc49ec674, 0x248612d4),
TOBN(0x5b6ac4f2, 0x7338af55), TOBN(0x06145e62, 0x7bee5a36),
TOBN(0x33e95d07, 0xe75746b5), TOBN(0x1c1e1f6d, 0xc40c78be),
TOBN(0x967833ef, 0x222ff8e2), TOBN(0x4bedcf6a, 0xb49180ad),
TOBN(0x6b37e9c1, 0x3d7a4c8a), TOBN(0x2748887c, 0x6ddfe760),
TOBN(0xf7055123, 0xaa3a5bbc), TOBN(0x954ff225, 0x7bbb8e74),
TOBN(0xc42b8ab1, 0x97c3dfb9), TOBN(0x55a549b0, 0xcf168154),
TOBN(0xad6748e7, 0xc1b50692), TOBN(0x2775780f, 0x6fc5cbcb),
TOBN(0x4eab80b8, 0xe1c9d7c8), TOBN(0x8c69dae1, 0x3fdbcd56),
TOBN(0x47e6b4fb, 0x9969eace), TOBN(0x002f1085, 0xa705cb5a),
TOBN(0x4e23ca44, 0x6d3fea55), TOBN(0xb4ae9c86, 0xf4810568),
TOBN(0x47bfb91b, 0x2a62f27d), TOBN(0x60deb4c9, 0xd9bac28c),
TOBN(0xa892d894, 0x7de6c34c), TOBN(0x4ee68259, 0x4494587d),
TOBN(0x914ee14e, 0x1a3f8a5b), TOBN(0xbb113eaa, 0x28700385),
TOBN(0x81ca03b9, 0x2115b4c9), TOBN(0x7c163d38, 0x8908cad1),
TOBN(0xc912a118, 0xaa18179a), TOBN(0xe09ed750, 0x886e3081),
TOBN(0xa676e3fa, 0x26f516ca), TOBN(0x753cacf7, 0x8e732f91),
TOBN(0x51592aea, 0x833da8b4), TOBN(0xc626f42f, 0x4cbea8aa),
TOBN(0xef9dc899, 0xa7b56eaf), TOBN(0x00c0e52c, 0x34ef7316),
TOBN(0x5b1e4e24, 0xfe818a86), TOBN(0x9d31e20d, 0xc538be47),
TOBN(0x22eb932d, 0x3ed68974), TOBN(0xe44bbc08, 0x7c4e87c4),
TOBN(0x4121086e, 0x0dde9aef), TOBN(0x8e6b9cff, 0x134f4345),
TOBN(0x96892c1f, 0x711b0eb9), TOBN(0xb905f2c8, 0x780ab954),
TOBN(0xace26309, 0xa20792db), TOBN(0xec8ac9b3, 0x0684e126),
TOBN(0x486ad8b6, 0xb40a2447), TOBN(0x60121fc1, 0x9fe3fb24),
TOBN(0x5626fccf, 0x1a8e3b3f), TOBN(0x4e568622, 0x6ad1f394),
TOBN(0xda7aae0d, 0x196aa5a1), TOBN(0xe0df8c77, 0x1041b5fb),
TOBN(0x451465d9, 0x26b318b7), TOBN(0xc29b6e55, 0x7ab136e9),
TOBN(0x2c2ab48b, 0x71148463), TOBN(0xb5738de3, 0x64454a76),
TOBN(0x54ccf9a0, 0x5a03abe4), TOBN(0x377c0296, 0x0427d58e),
TOBN(0x73f5f0b9, 0x2bb39c1f), TOBN(0x14373f2c, 0xe608d8c5),
TOBN(0xdcbfd314, 0x00fbb805), TOBN(0xdf18fb20, 0x83afdcfb),
TOBN(0x81a57f42, 0x42b3523f), TOBN(0xe958532d, 0x87f650fb),
TOBN(0xaa8dc8b6, 0x8b0a7d7c), TOBN(0x1b75dfb7, 0x150166be),
TOBN(0x90e4f7c9, 0x2d7d1413), TOBN(0x67e2d6b5, 0x9834f597),
TOBN(0x4fd4f4f9, 0xa808c3e8), TOBN(0xaf8237e0, 0xd5281ec1),
TOBN(0x25ab5fdc, 0x84687cee), TOBN(0xc5ded6b1, 0xa5b26c09),
TOBN(0x8e4a5aec, 0xc8ea7650), TOBN(0x23b73e5c, 0x14cc417f),
TOBN(0x2bfb4318, 0x3037bf52), TOBN(0xb61e6db5, 0x78c725d7),
TOBN(0x8efd4060, 0xbbb3e5d7), TOBN(0x2e014701, 0xdbac488e),
TOBN(0xac75cf9a, 0x360aa449), TOBN(0xb70cfd05, 0x79634d08),
TOBN(0xa591536d, 0xfffb15ef), TOBN(0xb2c37582, 0xd07c106c),
TOBN(0xb4293fdc, 0xf50225f9), TOBN(0xc52e175c, 0xb0e12b03),
TOBN(0xf649c3ba, 0xd0a8bf64), TOBN(0x745a8fef, 0xeb8ae3c6),
TOBN(0x30d7e5a3, 0x58321bc3), TOBN(0xb1732be7, 0x0bc4df48),
TOBN(0x1f217993, 0xe9ea5058), TOBN(0xf7a71cde, 0x3e4fd745),
TOBN(0x86cc533e, 0x894c5bbb), TOBN(0x6915c7d9, 0x69d83082),
TOBN(0xa6aa2d05, 0x5815c244), TOBN(0xaeeee592, 0x49b22ce5),
TOBN(0x89e39d13, 0x78135486), TOBN(0x3a275c1f, 0x16b76f2f),
TOBN(0xdb6bcc1b, 0xe036e8f5), TOBN(0x4df69b21, 0x5e4709f5),
TOBN(0xa188b250, 0x2d0f39aa), TOBN(0x622118bb, 0x15a85947),
TOBN(0x2ebf520f, 0xfde0f4fa), TOBN(0xa40e9f29, 0x4860e539),
TOBN(0x7b6a51eb, 0x22b57f0f), TOBN(0x849a33b9, 0x7e80644a),
TOBN(0x50e5d16f, 0x1cf095fe), TOBN(0xd754b54e, 0xec55f002),
TOBN(0x5cfbbb22, 0x236f4a98), TOBN(0x0b0c59e9, 0x066800bb),
TOBN(0x4ac69a8f, 0x5a9a7774), TOBN(0x2b33f804, 0xd6bec948),
TOBN(0xb3729295, 0x32e6c466), TOBN(0x68956d0f, 0x4e599c73),
TOBN(0xa47a249f, 0x155c31cc), TOBN(0x24d80f0d, 0xe1ce284e),
TOBN(0xcd821dfb, 0x988baf01), TOBN(0xe6331a7d, 0xdbb16647),
TOBN(0x1eb8ad33, 0x094cb960), TOBN(0x593cca38, 0xc91bbca5),
TOBN(0x384aac8d, 0x26567456), TOBN(0x40fa0309, 0xc04b6490),
TOBN(0x97834cd6, 0xdab6c8f6), TOBN(0x68a7318d, 0x3f91e55f),
TOBN(0xa00fd04e, 0xfc4d3157), TOBN(0xb56f8ab2, 0x2bf3bdea),
TOBN(0x014f5648, 0x4fa57172), TOBN(0x948c5860, 0x450abdb3),
TOBN(0x342b5df0, 0x0ebd4f08), TOBN(0x3e5168cd, 0x0e82938e),
TOBN(0x7aedc1ce, 0xb0df5dd0), TOBN(0x6bbbc6d9, 0xe5732516),
TOBN(0xc7bfd486, 0x605daaa6), TOBN(0x46fd72b7, 0xbb9a6c9e),
TOBN(0xe4847fb1, 0xa124fb89), TOBN(0x75959cbd, 0xa2d8ffbc),
TOBN(0x42579f65, 0xc8a588ee), TOBN(0x368c92e6, 0xb80b499d),
TOBN(0xea4ef6cd, 0x999a5df1), TOBN(0xaa73bb7f, 0x936fe604),
TOBN(0xf347a70d, 0x6457d188), TOBN(0x86eda86b, 0x8b7a388b),
TOBN(0xb7cdff06, 0x0ccd6013), TOBN(0xbeb1b6c7, 0xd0053fb2),
TOBN(0x0b022387, 0x99240a9f), TOBN(0x1bbb384f, 0x776189b2),
TOBN(0x8695e71e, 0x9066193a), TOBN(0x2eb50097, 0x06ffac7e),
TOBN(0x0654a9c0, 0x4a7d2caa), TOBN(0x6f3fb3d1, 0xa5aaa290),
TOBN(0x835db041, 0xff476e8f), TOBN(0x540b8b0b, 0xc42295e4),
TOBN(0xa5c73ac9, 0x05e214f5), TOBN(0x9a74075a, 0x56a0b638),
TOBN(0x2e4b1090, 0xce9e680b), TOBN(0x57a5b479, 0x6b8d9afa),
TOBN(0x0dca48e7, 0x26bfe65c), TOBN(0x097e391c, 0x7290c307),
TOBN(0x683c462e, 0x6669e72e), TOBN(0xf505be1e, 0x062559ac),
TOBN(0x5fbe3ea1, 0xe3a3035a), TOBN(0x6431ebf6, 0x9cd50da8),
TOBN(0xfd169d5c, 0x1f6407f2), TOBN(0x8d838a95, 0x60fce6b8),
TOBN(0x2a2bfa7f, 0x650006f0), TOBN(0xdfd7dad3, 0x50c0fbb2),
TOBN(0x92452495, 0xccf9ad96), TOBN(0x183bf494, 0xd95635f9),
TOBN(0x02d5df43, 0x4a7bd989), TOBN(0x505385cc, 0xa5431095),
TOBN(0xdd98e67d, 0xfd43f53e), TOBN(0xd61e1a6c, 0x500c34a9),
TOBN(0x5a4b46c6, 0x4a8a3d62), TOBN(0x8469c4d0, 0x247743d2),
TOBN(0x2bb3a13d, 0x88f7e433), TOBN(0x62b23a10, 0x01be5849),
TOBN(0xe83596b4, 0xa63d1a4c), TOBN(0x454e7fea, 0x7d183f3e),
TOBN(0x643fce61, 0x17afb01c), TOBN(0x4e65e5e6, 0x1c4c3638),
TOBN(0x41d85ea1, 0xef74c45b), TOBN(0x2cfbfa66, 0xae328506),
TOBN(0x98b078f5, 0x3ada7da9), TOBN(0xd985fe37, 0xec752fbb),
TOBN(0xeece68fe, 0x5a0148b4), TOBN(0x6f9a55c7, 0x2d78136d),
TOBN(0x232dccc4, 0xd2b729ce), TOBN(0xa27e0dfd, 0x90aafbc4),
TOBN(0x96474452, 0x12b4603e), TOBN(0xa876c551, 0x6b706d14),
TOBN(0xdf145fcf, 0x69a9d412), TOBN(0xe2ab75b7, 0x2d479c34),
TOBN(0x12df9a76, 0x1a23ff97), TOBN(0xc6138992, 0x5d359d10),
TOBN(0x6e51c7ae, 0xfa835f22), TOBN(0x69a79cb1, 0xc0fcc4d9),
TOBN(0xf57f350d, 0x594cc7e1), TOBN(0x3079ca63, 0x3350ab79),
TOBN(0x226fb614, 0x9aff594a), TOBN(0x35afec02, 0x6d59a62b),
TOBN(0x9bee46f4, 0x06ed2c6e), TOBN(0x58da1735, 0x7d939a57),
TOBN(0x44c50402, 0x8fd1797e), TOBN(0xd8853e7c, 0x5ccea6ca),
TOBN(0x4065508d, 0xa35fcd5f), TOBN(0x8965df8c, 0x495ccaeb),
TOBN(0x0f2da850, 0x12e1a962), TOBN(0xee471b94, 0xc1cf1cc4),
TOBN(0xcef19bc8, 0x0a08fb75), TOBN(0x704958f5, 0x81de3591),
TOBN(0x2867f8b2, 0x3aef4f88), TOBN(0x8d749384, 0xea9f9a5f),
TOBN(0x1b385537, 0x8c9049f4), TOBN(0x5be948f3, 0x7b92d8b6),
TOBN(0xd96f725d, 0xb6e2bd6b), TOBN(0x37a222bc, 0x958c454d),
TOBN(0xe7c61abb, 0x8809bf61), TOBN(0x46f07fbc, 0x1346f18d),
TOBN(0xfb567a7a, 0xe87c0d1c), TOBN(0x84a461c8, 0x7ef3d07a),
TOBN(0x0a5adce6, 0xd9278d98), TOBN(0x24d94813, 0x9dfc73e1),
TOBN(0x4f3528b6, 0x054321c3), TOBN(0x2e03fdde, 0x692ea706),
TOBN(0x10e60619, 0x47b533c0), TOBN(0x1a8bc73f, 0x2ca3c055),
TOBN(0xae58d4b2, 0x1bb62b8f), TOBN(0xb2045a73, 0x584a24e3),
TOBN(0x3ab3d5af, 0xbd76e195), TOBN(0x478dd1ad, 0x6938a810),
TOBN(0x6ffab393, 0x6ee3d5cb), TOBN(0xdfb693db, 0x22b361e4),
TOBN(0xf9694496, 0x51dbf1a7), TOBN(0xcab4b4ef, 0x08a2e762),
TOBN(0xe8c92f25, 0xd39bba9a), TOBN(0x850e61bc, 0xf1464d96),
TOBN(0xb7e830e3, 0xdc09508b), TOBN(0xfaf6d2cf, 0x74317655),
TOBN(0x72606ceb, 0xdf690355), TOBN(0x48bb92b3, 0xd0c3ded6),
TOBN(0x65b75484, 0x5c7cf892), TOBN(0xf6cd7ac9, 0xd5d5f01f),
TOBN(0xc2c30a59, 0x96401d69), TOBN(0x91268650, 0xed921878),
TOBN(0x380bf913, 0xb78c558f), TOBN(0x43c0baeb, 0xc8afdaa9),
TOBN(0x377f61d5, 0x54f169d3), TOBN(0xf8da07e3, 0xae5ff20b),
TOBN(0xb676c49d, 0xa8a90ea8), TOBN(0x81c1ff2b, 0x83a29b21),
TOBN(0x383297ac, 0x2ad8d276), TOBN(0x3001122f, 0xba89f982),
TOBN(0xe1d794be, 0x6718e448), TOBN(0x246c1482, 0x7c3e6e13),
TOBN(0x56646ef8, 0x5d26b5ef), TOBN(0x80f5091e, 0x88069cdd),
TOBN(0xc5992e2f, 0x724bdd38), TOBN(0x02e915b4, 0x8471e8c7),
TOBN(0x96ff320a, 0x0d0ff2a9), TOBN(0xbf886487, 0x4384d1a0),
TOBN(0xbbe1e6a6, 0xc93f72d6), TOBN(0xd5f75d12, 0xcad800ea),
TOBN(0xfa40a09f, 0xe7acf117), TOBN(0x32c8cdd5, 0x7581a355),
TOBN(0x74221992, 0x7023c499), TOBN(0xa8afe5d7, 0x38ec3901),
TOBN(0x5691afcb, 0xa90e83f0), TOBN(0x41bcaa03, 0x0b8f8eac),
TOBN(0xe38b5ff9, 0x8d2668d5), TOBN(0x0715281a, 0x7ad81965),
TOBN(0x1bc8fc7c, 0x03c6ce11), TOBN(0xcbbee6e2, 0x8b650436),
TOBN(0x06b00fe8, 0x0cdb9808), TOBN(0x17d6e066, 0xfe3ed315),
TOBN(0x2e9d38c6, 0x4d0b5018), TOBN(0xab8bfd56, 0x844dcaef),
TOBN(0x42894a59, 0x513aed8b), TOBN(0xf77f3b6d, 0x314bd07a),
TOBN(0xbbdecb8f, 0x8e42b582), TOBN(0xf10e2fa8, 0xd2390fe6),
TOBN(0xefb95022, 0x62a2f201), TOBN(0x4d59ea50, 0x50ee32b0),
TOBN(0xd87f7728, 0x6da789a8), TOBN(0xcf98a2cf, 0xf79492c4),
TOBN(0xf9577239, 0x720943c2), TOBN(0xba044cf5, 0x3990b9d0),
TOBN(0x5aa8e823, 0x95f2884a), TOBN(0x834de6ed, 0x0278a0af),
TOBN(0xc8e1ee9a, 0x5f25bd12), TOBN(0x9259ceaa, 0x6f7ab271),
TOBN(0x7e6d97a2, 0x77d00b76), TOBN(0x5c0c6eea, 0xa437832a),
TOBN(0x5232c20f, 0x5606b81d), TOBN(0xabd7b375, 0x0d991ee5),
TOBN(0x4d2bfe35, 0x8632d951), TOBN(0x78f85146, 0x98ed9364),
TOBN(0x951873f0, 0xf30c3282), TOBN(0x0da8ac80, 0xa789230b),
TOBN(0x3ac7789c, 0x5398967f), TOBN(0xa69b8f7f, 0xbdda0fb5),
TOBN(0xe5db7717, 0x6add8545), TOBN(0x1b71cb66, 0x72c49b66),
TOBN(0xd8560739, 0x68421d77), TOBN(0x03840fe8, 0x83e3afea),
TOBN(0xb391dad5, 0x1ec69977), TOBN(0xae243fb9, 0x307f6726),
TOBN(0xc88ac87b, 0xe8ca160c), TOBN(0x5174cced, 0x4ce355f4),
TOBN(0x98a35966, 0xe58ba37d), TOBN(0xfdcc8da2, 0x7817335d),
TOBN(0x5b752830, 0x83fbc7bf), TOBN(0x68e419d4, 0xd9c96984),
TOBN(0x409a39f4, 0x02a40380), TOBN(0x88940faf, 0x1fe977bc),
TOBN(0xc640a94b, 0x8f8edea6), TOBN(0x1e22cd17, 0xed11547d),
TOBN(0xe28568ce, 0x59ffc3e2), TOBN(0x60aa1b55, 0xc1dee4e7),
TOBN(0xc67497c8, 0x837cb363), TOBN(0x06fb438a, 0x105a2bf2),
TOBN(0x30357ec4, 0x500d8e20), TOBN(0x1ad9095d, 0x0670db10),
TOBN(0x7f589a05, 0xc73b7cfd), TOBN(0xf544607d, 0x880d6d28),
TOBN(0x17ba93b1, 0xa20ef103), TOBN(0xad859130, 0x6ba6577b),
TOBN(0x65c91cf6, 0x6fa214a0), TOBN(0xd7d49c6c, 0x27990da5),
TOBN(0xecd9ec8d, 0x20bb569d), TOBN(0xbd4b2502, 0xeeffbc33),
TOBN(0x2056ca5a, 0x6bed0467), TOBN(0x7916a1f7, 0x5b63728c),
TOBN(0xd4f9497d, 0x53a4f566), TOBN(0x89734664, 0x97b56810),
TOBN(0xf8e1da74, 0x0494a621), TOBN(0x82546a93, 0x8d011c68),
TOBN(0x1f3acb19, 0xc61ac162), TOBN(0x52f8fa9c, 0xabad0d3e),
TOBN(0x15356523, 0xb4b7ea43), TOBN(0x5a16ad61, 0xae608125),
TOBN(0xb0bcb87f, 0x4faed184), TOBN(0x5f236b1d, 0x5029f45f),
TOBN(0xd42c7607, 0x0bc6b1fc), TOBN(0xc644324e, 0x68aefce3),
TOBN(0x8e191d59, 0x5c5d8446), TOBN(0xc0208077, 0x13ae1979),
TOBN(0xadcaee55, 0x3ba59cc7), TOBN(0x20ed6d6b, 0xa2cb81ba),
TOBN(0x0952ba19, 0xb6efcffc), TOBN(0x60f12d68, 0x97c0b87c),
TOBN(0x4ee2c7c4, 0x9caa30bc), TOBN(0x767238b7, 0x97fbff4e),
TOBN(0xebc73921, 0x501b5d92), TOBN(0x3279e3df, 0xc2a37737),
TOBN(0x9fc12bc8, 0x6d197543), TOBN(0xfa94dc6f, 0x0a40db4e),
TOBN(0x7392b41a, 0x530ccbbd), TOBN(0x87c82146, 0xea823525),
TOBN(0xa52f984c, 0x05d98d0c), TOBN(0x2ae57d73, 0x5ef6974c),
TOBN(0x9377f7bf, 0x3042a6dd), TOBN(0xb1a007c0, 0x19647a64),
TOBN(0xfaa9079a, 0x0cca9767), TOBN(0x3d81a25b, 0xf68f72d5),
TOBN(0x752067f8, 0xff81578e), TOBN(0x78622150, 0x9045447d),
TOBN(0xc0c22fcf, 0x0505aa6f), TOBN(0x1030f0a6, 0x6bed1c77),
TOBN(0x31f29f15, 0x1f0bd739), TOBN(0x2d7989c7, 0xe6debe85),
TOBN(0x5c070e72, 0x8e677e98), TOBN(0x0a817bd3, 0x06e81fd5),
TOBN(0xc110d830, 0xb0f2ac95), TOBN(0x48d0995a, 0xab20e64e),
TOBN(0x0f3e00e1, 0x7729cd9a), TOBN(0x2a570c20, 0xdd556946),
TOBN(0x912dbcfd, 0x4e86214d), TOBN(0x2d014ee2, 0xcf615498),
TOBN(0x55e2b1e6, 0x3530d76e), TOBN(0xc5135ae4, 0xfd0fd6d1),
TOBN(0x0066273a, 0xd4f3049f), TOBN(0xbb8e9893, 0xe7087477),
TOBN(0x2dba1ddb, 0x14c6e5fd), TOBN(0xdba37886, 0x51f57e6c),
TOBN(0x5aaee0a6, 0x5a72f2cf), TOBN(0x1208bfbf, 0x7bea5642),
TOBN(0xf5c6aa3b, 0x67872c37), TOBN(0xd726e083, 0x43f93224),
TOBN(0x1854daa5, 0x061f1658), TOBN(0xc0016df1, 0xdf0cd2b3),
TOBN(0xc2a3f23e, 0x833d50de), TOBN(0x73b681d2, 0xbbbd3017),
TOBN(0x2f046dc4, 0x3ac343c0), TOBN(0x9c847e7d, 0x85716421),
TOBN(0xe1e13c91, 0x0917eed4), TOBN(0x3fc9eebd, 0x63a1b9c6),
TOBN(0x0f816a72, 0x7fe02299), TOBN(0x6335ccc2, 0x294f3319),
TOBN(0x3820179f, 0x4745c5be), TOBN(0xe647b782, 0x922f066e),
TOBN(0xc22e49de, 0x02cafb8a), TOBN(0x299bc2ff, 0xfcc2eccc),
TOBN(0x9a8feea2, 0x6e0e8282), TOBN(0xa627278b, 0xfe893205),
TOBN(0xa7e19733, 0x7933e47b), TOBN(0xf4ff6b13, 0x2e766402),
TOBN(0xa4d8be0a, 0x98440d9f), TOBN(0x658f5c2f, 0x38938808),
TOBN(0x90b75677, 0xc95b3b3e), TOBN(0xfa044269, 0x3137b6ff),
TOBN(0x077b039b, 0x43c47c29), TOBN(0xcca95dd3, 0x8a6445b2),
TOBN(0x0b498ba4, 0x2333fc4c), TOBN(0x274f8e68, 0xf736a1b1),
TOBN(0x6ca348fd, 0x5f1d4b2e), TOBN(0x24d3be78, 0xa8f10199),
TOBN(0x8535f858, 0xca14f530), TOBN(0xa6e7f163, 0x5b982e51),
TOBN(0x847c8512, 0x36e1bf62), TOBN(0xf6a7c58e, 0x03448418),
TOBN(0x583f3703, 0xf9374ab6), TOBN(0x864f9195, 0x6e564145),
TOBN(0x33bc3f48, 0x22526d50), TOBN(0x9f323c80, 0x1262a496),
TOBN(0xaa97a7ae, 0x3f046a9a), TOBN(0x70da183e, 0xdf8a039a),
TOBN(0x5b68f71c, 0x52aa0ba6), TOBN(0x9be0fe51, 0x21459c2d),
TOBN(0xc1e17eb6, 0xcbc613e5), TOBN(0x33131d55, 0x497ea61c),
TOBN(0x2f69d39e, 0xaf7eded5), TOBN(0x73c2f434, 0xde6af11b),
TOBN(0x4ca52493, 0xa4a375fa), TOBN(0x5f06787c, 0xb833c5c2),
TOBN(0x814e091f, 0x3e6e71cf), TOBN(0x76451f57, 0x8b746666)}
,
{TOBN(0x80f9bdef, 0x694db7e0), TOBN(0xedca8787, 0xb9fcddc6),
TOBN(0x51981c34, 0x03b8dce1), TOBN(0x4274dcf1, 0x70e10ba1),
TOBN(0xf72743b8, 0x6def6d1a), TOBN(0xd25b1670, 0xebdb1866),
TOBN(0xc4491e8c, 0x050c6f58), TOBN(0x2be2b2ab, 0x87fbd7f5),
TOBN(0x3e0e5c9d, 0xd111f8ec), TOBN(0xbcc33f8d, 0xb7c4e760),
TOBN(0x702f9a91, 0xbd392a51), TOBN(0x7da4a795, 0xc132e92d),
TOBN(0x1a0b0ae3, 0x0bb1151b), TOBN(0x54febac8, 0x02e32251),
TOBN(0xea3a5082, 0x694e9e78), TOBN(0xe58ffec1, 0xe4fe40b8),
TOBN(0xf85592fc, 0xd1e0cf9e), TOBN(0xdea75f0d, 0xc0e7b2e8),
TOBN(0xc04215cf, 0xc135584e), TOBN(0x174fc727, 0x2f57092a),
TOBN(0xe7277877, 0xeb930bea), TOBN(0x504caccb, 0x5eb02a5a),
TOBN(0xf9fe08f7, 0xf5241b9b), TOBN(0xe7fb62f4, 0x8d5ca954),
TOBN(0xfbb8349d, 0x29c4120b), TOBN(0x9f94391f, 0xc0d0d915),
TOBN(0xc4074fa7, 0x5410ba51), TOBN(0xa66adbf6, 0x150a5911),
TOBN(0xc164543c, 0x34bfca38), TOBN(0xe0f27560, 0xb9e1ccfc),
TOBN(0x99da0f53, 0xe820219c), TOBN(0xe8234498, 0xc6b4997a),
TOBN(0xcfb88b76, 0x9d4c5423), TOBN(0x9e56eb10, 0xb0521c49),
TOBN(0x418e0b5e, 0xbe8700a1), TOBN(0x00cbaad6, 0xf93cb58a),
TOBN(0xe923fbde, 0xd92a5e67), TOBN(0xca4979ac, 0x1f347f11),
TOBN(0x89162d85, 0x6bc0585b), TOBN(0xdd6254af, 0xac3c70e3),
TOBN(0x7b23c513, 0x516e19e4), TOBN(0x56e2e847, 0xc5c4d593),
TOBN(0x9f727d73, 0x5ce71ef6), TOBN(0x5b6304a6, 0xf79a44c5),
TOBN(0x6638a736, 0x3ab7e433), TOBN(0x1adea470, 0xfe742f83),
TOBN(0xe054b854, 0x5b7fc19f), TOBN(0xf935381a, 0xba1d0698),
TOBN(0x546eab2d, 0x799e9a74), TOBN(0x96239e0e, 0xa949f729),
TOBN(0xca274c6b, 0x7090055a), TOBN(0x835142c3, 0x9020c9b0),
TOBN(0xa405667a, 0xa2e8807f), TOBN(0x29f2c085, 0x1aa3d39e),
TOBN(0xcc555d64, 0x42fc72f5), TOBN(0xe856e0e7, 0xfbeacb3c),
TOBN(0xb5504f9d, 0x918e4936), TOBN(0x65035ef6, 0xb2513982),
TOBN(0x0553a0c2, 0x6f4d9cb9), TOBN(0x6cb10d56, 0xbea85509),
TOBN(0x48d957b7, 0xa242da11), TOBN(0x16a4d3dd, 0x672b7268),
TOBN(0x3d7e637c, 0x8502a96b), TOBN(0x27c7032b, 0x730d463b),
TOBN(0xbdc02b18, 0xe4136a14), TOBN(0xbacf969d, 0x678e32bf),
TOBN(0xc98d89a3, 0xdd9c3c03), TOBN(0x7b92420a, 0x23becc4f),
TOBN(0xd4b41f78, 0xc64d565c), TOBN(0x9f969d00, 0x10f28295),
TOBN(0xec7f7f76, 0xb13d051a), TOBN(0x08945e1e, 0xa92da585),
TOBN(0x55366b7d, 0x5846426f), TOBN(0xe7d09e89, 0x247d441d),
TOBN(0x510b404d, 0x736fbf48), TOBN(0x7fa003d0, 0xe784bd7d),
TOBN(0x25f7614f, 0x17fd9596), TOBN(0x49e0e0a1, 0x35cb98db),
TOBN(0x2c65957b, 0x2e83a76a), TOBN(0x5d40da8d, 0xcddbe0f8),
TOBN(0xf2b8c405, 0x050bad24), TOBN(0x8918426d, 0xc2aa4823),
TOBN(0x2aeab3dd, 0xa38365a7), TOBN(0x72031717, 0x7c91b690),
TOBN(0x8b00d699, 0x60a94120), TOBN(0x478a255d, 0xe99eaeec),
TOBN(0xbf656a5f, 0x6f60aafd), TOBN(0xdfd7cb75, 0x5dee77b3),
TOBN(0x37f68bb4, 0xa595939d), TOBN(0x03556479, 0x28740217),
TOBN(0x8e740e7c, 0x84ad7612), TOBN(0xd89bc843, 0x9044695f),
TOBN(0xf7f3da5d, 0x85a9184d), TOBN(0x562563bb, 0x9fc0b074),
TOBN(0x06d2e6aa, 0xf88a888e), TOBN(0x612d8643, 0x161fbe7c),
TOBN(0x465edba7, 0xf64085e7), TOBN(0xb230f304, 0x29aa8511),
TOBN(0x53388426, 0xcda2d188), TOBN(0x90885735, 0x4b666649),
TOBN(0x6f02ff9a, 0x652f54f6), TOBN(0x65c82294, 0x5fae2bf0),
TOBN(0x7816ade0, 0x62f5eee3), TOBN(0xdcdbdf43, 0xfcc56d70),
TOBN(0x9fb3bba3, 0x54530bb2), TOBN(0xbde3ef77, 0xcb0869ea),
TOBN(0x89bc9046, 0x0b431163), TOBN(0x4d03d7d2, 0xe4819a35),
TOBN(0x33ae4f9e, 0x43b6a782), TOBN(0x216db307, 0x9c88a686),
TOBN(0x91dd88e0, 0x00ffedd9), TOBN(0xb280da9f, 0x12bd4840),
TOBN(0x32a7cb8a, 0x1635e741), TOBN(0xfe14008a, 0x78be02a7),
TOBN(0x3fafb334, 0x1b7ae030), TOBN(0x7fd508e7, 0x5add0ce9),
TOBN(0x72c83219, 0xd607ad51), TOBN(0x0f229c0a, 0x8d40964a),
TOBN(0x1be2c336, 0x1c878da2), TOBN(0xe0c96742, 0xeab2ab86),
TOBN(0x458f8691, 0x3e538cd7), TOBN(0xa7001f6c, 0x8e08ad53),
TOBN(0x52b8c6e6, 0xbf5d15ff), TOBN(0x548234a4, 0x011215dd),
TOBN(0xff5a9d2d, 0x3d5b4045), TOBN(0xb0ffeeb6, 0x4a904190),
TOBN(0x55a3aca4, 0x48607f8b), TOBN(0x8cbd665c, 0x30a0672a),
TOBN(0x87f834e0, 0x42583068), TOBN(0x02da2aeb, 0xf3f6e683),
TOBN(0x6b763e5d, 0x05c12248), TOBN(0x7230378f, 0x65a8aefc),
TOBN(0x93bd80b5, 0x71e8e5ca), TOBN(0x53ab041c, 0xb3b62524),
TOBN(0x1b860513, 0x6c9c552e), TOBN(0xe84d402c, 0xd5524e66),
TOBN(0xa37f3573, 0xf37f5937), TOBN(0xeb0f6c7d, 0xd1e4fca5),
TOBN(0x2965a554, 0xac8ab0fc), TOBN(0x17fbf56c, 0x274676ac),
TOBN(0x2e2f6bd9, 0xacf7d720), TOBN(0x41fc8f88, 0x10224766),
TOBN(0x517a14b3, 0x85d53bef), TOBN(0xdae327a5, 0x7d76a7d1),
TOBN(0x6ad0a065, 0xc4818267), TOBN(0x33aa189b, 0x37c1bbc1),
TOBN(0x64970b52, 0x27392a92), TOBN(0x21699a1c, 0x2d1535ea),
TOBN(0xcd20779c, 0xc2d7a7fd), TOBN(0xe3186059, 0x99c83cf2),
TOBN(0x9b69440b, 0x72c0b8c7), TOBN(0xa81497d7, 0x7b9e0e4d),
TOBN(0x515d5c89, 0x1f5f82dc), TOBN(0x9a7f67d7, 0x6361079e),
TOBN(0xa8da81e3, 0x11a35330), TOBN(0xe44990c4, 0x4b18be1b),
TOBN(0xc7d5ed95, 0xaf103e59), TOBN(0xece8aba7, 0x8dac9261),
TOBN(0xbe82b099, 0x9394b8d3), TOBN(0x6830f09a, 0x16adfe83),
TOBN(0x250a29b4, 0x88172d01), TOBN(0x8b20bd65, 0xcaff9e02),
TOBN(0xb8a7661e, 0xe8a6329a), TOBN(0x4520304d, 0xd3fce920),
TOBN(0xae45da1f, 0x2b47f7ef), TOBN(0xe07f5288, 0x5bffc540),
TOBN(0xf7997009, 0x3464f874), TOBN(0x2244c2cd, 0xa6fa1f38),
TOBN(0x43c41ac1, 0x94d7d9b1), TOBN(0x5bafdd82, 0xc82e7f17),
TOBN(0xdf0614c1, 0x5fda0fca), TOBN(0x74b043a7, 0xa8ae37ad),
TOBN(0x3ba6afa1, 0x9e71734c), TOBN(0x15d5437e, 0x9c450f2e),
TOBN(0x4a5883fe, 0x67e242b1), TOBN(0x5143bdc2, 0x2c1953c2),
TOBN(0x542b8b53, 0xfc5e8920), TOBN(0x363bf9a8, 0x9a9cee08),
TOBN(0x02375f10, 0xc3486e08), TOBN(0x2037543b, 0x8c5e70d2),
TOBN(0x7109bccc, 0x625640b4), TOBN(0xcbc1051e, 0x8bc62c3b),
TOBN(0xf8455fed, 0x803f26ea), TOBN(0x6badceab, 0xeb372424),
TOBN(0xa2a9ce7c, 0x6b53f5f9), TOBN(0x64246595, 0x1b176d99),
TOBN(0xb1298d36, 0xb95c081b), TOBN(0x53505bb8, 0x1d9a9ee6),
TOBN(0x3f6f9e61, 0xf2ba70b0), TOBN(0xd07e16c9, 0x8afad453),
TOBN(0x9f1694bb, 0xe7eb4a6a), TOBN(0xdfebced9, 0x3cb0bc8e),
TOBN(0x92d3dcdc, 0x53868c8b), TOBN(0x174311a2, 0x386107a6),
TOBN(0x4109e07c, 0x689b4e64), TOBN(0x30e4587f, 0x2df3dcb6),
TOBN(0x841aea31, 0x0811b3b2), TOBN(0x6144d41d, 0x0cce43ea),
TOBN(0x464c4581, 0x2a9a7803), TOBN(0xd03d371f, 0x3e158930),
TOBN(0xc676d7f2, 0xb1f3390b), TOBN(0x9f7a1b8c, 0xa5b61272),
TOBN(0x4ebebfc9, 0xc2e127a9), TOBN(0x4602500c, 0x5dd997bf),
TOBN(0x7f09771c, 0x4711230f), TOBN(0x058eb37c, 0x020f09c1),
TOBN(0xab693d4b, 0xfee5e38b), TOBN(0x9289eb1f, 0x4653cbc0),
TOBN(0xbecf46ab, 0xd51b9cf5), TOBN(0xd2aa9c02, 0x9f0121af),
TOBN(0x36aaf7d2, 0xe90dc274), TOBN(0x909e4ea0, 0x48b95a3c),
TOBN(0xe6b70496, 0x6f32dbdb), TOBN(0x672188a0, 0x8b030b3e),
TOBN(0xeeffe5b3, 0xcfb617e2), TOBN(0x87e947de, 0x7c82709e),
TOBN(0xa44d2b39, 0x1770f5a7), TOBN(0xe4d4d791, 0x0e44eb82),
TOBN(0x42e69d1e, 0x3f69712a), TOBN(0xbf11c4d6, 0xac6a820e),
TOBN(0xb5e7f3e5, 0x42c4224c), TOBN(0xd6b4e81c, 0x449d941c),
TOBN(0x5d72bd16, 0x5450e878), TOBN(0x6a61e28a, 0xee25ac54),
TOBN(0x33272094, 0xe6f1cd95), TOBN(0x7512f30d, 0x0d18673f),
TOBN(0x32f7a4ca, 0x5afc1464), TOBN(0x2f095656, 0x6bbb977b),
TOBN(0x586f47ca, 0xa8226200), TOBN(0x02c868ad, 0x1ac07369),
TOBN(0x4ef2b845, 0xc613acbe), TOBN(0x43d7563e, 0x0386054c),
TOBN(0x54da9dc7, 0xab952578), TOBN(0xb5423df2, 0x26e84d0b),
TOBN(0xa8b64eeb, 0x9b872042), TOBN(0xac205782, 0x5990f6df),
TOBN(0x4ff696eb, 0x21f4c77a), TOBN(0x1a79c3e4, 0xaab273af),
TOBN(0x29bc922e, 0x9436b3f1), TOBN(0xff807ef8, 0xd6d9a27a),
TOBN(0x82acea3d, 0x778f22a0), TOBN(0xfb10b2e8, 0x5b5e7469),
TOBN(0xc0b16980, 0x2818ee7d), TOBN(0x011afff4, 0xc91c1a2f),
TOBN(0x95a6d126, 0xad124418), TOBN(0x31c081a5, 0xe72e295f),
TOBN(0x36bb283a, 0xf2f4db75), TOBN(0xd115540f, 0x7acef462),
TOBN(0xc7f3a8f8, 0x33f6746c), TOBN(0x21e46f65, 0xfea990ca),
TOBN(0x915fd5c5, 0xcaddb0a9), TOBN(0xbd41f016, 0x78614555),
TOBN(0x346f4434, 0x426ffb58), TOBN(0x80559436, 0x14dbc204),
TOBN(0xf3dd20fe, 0x5a969b7f), TOBN(0x9d59e956, 0xe899a39a),
TOBN(0xf1b0971c, 0x8ad4cf4b), TOBN(0x03448860, 0x2ffb8fb8),
TOBN(0xf071ac3c, 0x65340ba4), TOBN(0x408d0596, 0xb27fd758),
TOBN(0xe7c78ea4, 0x98c364b0), TOBN(0xa4aac4a5, 0x051e8ab5),
TOBN(0xb9e1d560, 0x485d9002), TOBN(0x9acd518a, 0x88844455),
TOBN(0xe4ca688f, 0xd06f56c0), TOBN(0xa48af70d, 0xdf027972),
TOBN(0x691f0f04, 0x5e9a609d), TOBN(0xa9dd82cd, 0xee61270e),
TOBN(0x8903ca63, 0xa0ef18d3), TOBN(0x9fb7ee35, 0x3d6ca3bd),
TOBN(0xa7b4a09c, 0xabf47d03), TOBN(0x4cdada01, 0x1c67de8e),
TOBN(0x52003749, 0x9355a244), TOBN(0xe77fd2b6, 0x4f2151a9),
TOBN(0x695d6cf6, 0x66b4efcb), TOBN(0xc5a0cacf, 0xda2cfe25),
TOBN(0x104efe5c, 0xef811865), TOBN(0xf52813e8, 0x9ea5cc3d),
TOBN(0x855683dc, 0x40b58dbc), TOBN(0x0338ecde, 0x175fcb11),
TOBN(0xf9a05637, 0x74921592), TOBN(0xb4f1261d, 0xb9bb9d31),
TOBN(0x551429b7, 0x4e9c5459), TOBN(0xbe182e6f, 0x6ea71f53),
TOBN(0xd3a3b07c, 0xdfc50573), TOBN(0x9ba1afda, 0x62be8d44),
TOBN(0x9bcfd2cb, 0x52ab65d3), TOBN(0xdf11d547, 0xa9571802),
TOBN(0x099403ee, 0x02a2404a), TOBN(0x497406f4, 0x21088a71),
TOBN(0x99479409, 0x5004ae71), TOBN(0xbdb42078, 0xa812c362),
TOBN(0x2b72a30f, 0xd8828442), TOBN(0x283add27, 0xfcb5ed1c),
TOBN(0xf7c0e200, 0x66a40015), TOBN(0x3e3be641, 0x08b295ef),
TOBN(0xac127dc1, 0xe038a675), TOBN(0x729deff3, 0x8c5c6320),
TOBN(0xb7df8fd4, 0xa90d2c53), TOBN(0x9b74b0ec, 0x681e7cd3),
TOBN(0x5cb5a623, 0xdab407e5), TOBN(0xcdbd3615, 0x76b340c6),
TOBN(0xa184415a, 0x7d28392c), TOBN(0xc184c1d8, 0xe96f7830),
TOBN(0xc3204f19, 0x81d3a80f), TOBN(0xfde0c841, 0xc8e02432),
TOBN(0x78203b3e, 0x8149e0c1), TOBN(0x5904bdbb, 0x08053a73),
TOBN(0x30fc1dd1, 0x101b6805), TOBN(0x43c223bc, 0x49aa6d49),
TOBN(0x9ed67141, 0x7a174087), TOBN(0x311469a0, 0xd5997008),
TOBN(0xb189b684, 0x5e43fc61), TOBN(0xf3282375, 0xe0d3ab57),
TOBN(0x4fa34b67, 0xb1181da8), TOBN(0x621ed0b2, 0x99ee52b8),
TOBN(0x9b178de1, 0xad990676), TOBN(0xd51de67b, 0x56d54065),
TOBN(0x2a2c27c4, 0x7538c201), TOBN(0x33856ec8, 0x38a40f5c),
TOBN(0x2522fc15, 0xbe6cdcde), TOBN(0x1e603f33, 0x9f0c6f89),
TOBN(0x7994edc3, 0x103e30a6), TOBN(0x033a00db, 0x220c853e),
TOBN(0xd3cfa409, 0xf7bb7fd7), TOBN(0x70f8781e, 0x462d18f6),
TOBN(0xbbd82980, 0x687fe295), TOBN(0x6eef4c32, 0x595669f3),
TOBN(0x86a9303b, 0x2f7e85c3), TOBN(0x5fce4621, 0x71988f9b),
TOBN(0x5b935bf6, 0xc138acb5), TOBN(0x30ea7d67, 0x25661212),
TOBN(0xef1eb5f4, 0xe51ab9a2), TOBN(0x0587c98a, 0xae067c78),
TOBN(0xb3ce1b3c, 0x77ca9ca6), TOBN(0x2a553d4d, 0x54b5f057),
TOBN(0xc7898236, 0x4da29ec2), TOBN(0xdbdd5d13, 0xb9c57316),
TOBN(0xc57d6e6b, 0x2cd80d47), TOBN(0x80b460cf, 0xfe9e7391),
TOBN(0x98648cab, 0xf963c31e), TOBN(0x67f9f633, 0xcc4d32fd),
TOBN(0x0af42a9d, 0xfdf7c687), TOBN(0x55f292a3, 0x0b015ea7),
TOBN(0x89e468b2, 0xcd21ab3d), TOBN(0xe504f022, 0xc393d392),
TOBN(0xab21e1d4, 0xa5013af9), TOBN(0xe3283f78, 0xc2c28acb),
TOBN(0xf38b35f6, 0x226bf99f), TOBN(0xe8354274, 0x0e291e69),
TOBN(0x61673a15, 0xb20c162d), TOBN(0xc101dc75, 0xb04fbdbe),
TOBN(0x8323b4c2, 0x255bd617), TOBN(0x6c969693, 0x6c2a9154),
TOBN(0xc6e65860, 0x62679387), TOBN(0x8e01db0c, 0xb8c88e23),
TOBN(0x33c42873, 0x893a5559), TOBN(0x7630f04b, 0x47a3e149),
TOBN(0xb5d80805, 0xddcf35f8), TOBN(0x582ca080, 0x77dfe732),
TOBN(0x2c7156e1, 0x0b1894a0), TOBN(0x92034001, 0xd81c68c0),
TOBN(0xed225d00, 0xc8b115b5), TOBN(0x237f9c22, 0x83b907f2),
TOBN(0x0ea2f32f, 0x4470e2c0), TOBN(0xb725f7c1, 0x58be4e95),
TOBN(0x0f1dcafa, 0xb1ae5463), TOBN(0x59ed5187, 0x1ba2fc04),
TOBN(0xf6e0f316, 0xd0115d4d), TOBN(0x5180b12f, 0xd3691599),
TOBN(0x157e32c9, 0x527f0a41), TOBN(0x7b0b081d, 0xa8e0ecc0),
TOBN(0x6dbaaa8a, 0xbf4f0dd0), TOBN(0x99b289c7, 0x4d252696),
TOBN(0x79b7755e, 0xdbf864fe), TOBN(0x6974e2b1, 0x76cad3ab),
TOBN(0x35dbbee2, 0x06ddd657), TOBN(0xe7cbdd11, 0x2ff3a96d),
TOBN(0x88381968, 0x076be758), TOBN(0x2d737e72, 0x08c91f5d),
TOBN(0x5f83ab62, 0x86ec3776), TOBN(0x98aa649d, 0x945fa7a1),
TOBN(0xf477ec37, 0x72ef0933), TOBN(0x66f52b1e, 0x098c17b1),
TOBN(0x9eec58fb, 0xd803738b), TOBN(0x91aaade7, 0xe4e86aa4),
TOBN(0x6b1ae617, 0xa5b51492), TOBN(0x63272121, 0xbbc45974),
TOBN(0x7e0e28f0, 0x862c5129), TOBN(0x0a8f79a9, 0x3321a4a0),
TOBN(0xe26d1664, 0x5041c88f), TOBN(0x0571b805, 0x53233e3a),
TOBN(0xd1b0ccde, 0xc9520711), TOBN(0x55a9e4ed, 0x3c8b84bf),
TOBN(0x9426bd39, 0xa1fef314), TOBN(0x4f5f638e, 0x6eb93f2b),
TOBN(0xba2a1ed3, 0x2bf9341b), TOBN(0xd63c1321, 0x4d42d5a9),
TOBN(0xd2964a89, 0x316dc7c5), TOBN(0xd1759606, 0xca511851),
TOBN(0xd8a9201f, 0xf9e6ed35), TOBN(0xb7b5ee45, 0x6736925a),
TOBN(0x0a83fbbc, 0x99581af7), TOBN(0x3076bc40, 0x64eeb051),
TOBN(0x5511c98c, 0x02dec312), TOBN(0x270de898, 0x238dcb78),
TOBN(0x2cf4cf9c, 0x539c08c9), TOBN(0xa70cb65e, 0x38d3b06e),
TOBN(0xb12ec10e, 0xcfe57bbd), TOBN(0x82c7b656, 0x35a0c2b5),
TOBN(0xddc7d5cd, 0x161c67bd), TOBN(0xe32e8985, 0xae3a32cc),
TOBN(0x7aba9444, 0xd11a5529), TOBN(0xe964ed02, 0x2427fa1a),
TOBN(0x1528392d, 0x24a1770a), TOBN(0xa152ce2c, 0x12c72fcd),
TOBN(0x714553a4, 0x8ec07649), TOBN(0x18b4c290, 0x459dd453),
TOBN(0xea32b714, 0x7b64b110), TOBN(0xb871bfa5, 0x2e6f07a2),
TOBN(0xb67112e5, 0x9e2e3c9b), TOBN(0xfbf250e5, 0x44aa90f6),
TOBN(0xf77aedb8, 0xbd539006), TOBN(0x3b0cdf9a, 0xd172a66f),
TOBN(0xedf69fea, 0xf8c51187), TOBN(0x05bb67ec, 0x741e4da7),
TOBN(0x47df0f32, 0x08114345), TOBN(0x56facb07, 0xbb9792b1),
TOBN(0xf3e007e9, 0x8f6229e4), TOBN(0x62d103f4, 0x526fba0f),
TOBN(0x4f33bef7, 0xb0339d79), TOBN(0x9841357b, 0xb59bfec1),
TOBN(0xfa8dbb59, 0xc34e6705), TOBN(0xc3c7180b, 0x7fdaa84c),
TOBN(0xf95872fc, 0xa4108537), TOBN(0x8750cc3b, 0x932a3e5a),
TOBN(0xb61cc69d, 0xb7275d7d), TOBN(0xffa0168b, 0x2e59b2e9),
TOBN(0xca032abc, 0x6ecbb493), TOBN(0x1d86dbd3, 0x2c9082d8),
TOBN(0xae1e0b67, 0xe28ef5ba), TOBN(0x2c9a4699, 0xcb18e169),
TOBN(0x0ecd0e33, 0x1e6bbd20), TOBN(0x571b360e, 0xaf5e81d2),
TOBN(0xcd9fea58, 0x101c1d45), TOBN(0x6651788e, 0x18880452),
TOBN(0xa9972635, 0x1f8dd446), TOBN(0x44bed022, 0xe37281d0),
TOBN(0x094b2b2d, 0x33da525d), TOBN(0xf193678e, 0x13144fd8),
TOBN(0xb8ab5ba4, 0xf4c1061d), TOBN(0x4343b5fa, 0xdccbe0f4),
TOBN(0xa8702371, 0x63812713), TOBN(0x47bf6d2d, 0xf7611d93),
TOBN(0x46729b8c, 0xbd21e1d7), TOBN(0x7484d4e0, 0xd629e77d),
TOBN(0x830e6eea, 0x60dbac1f), TOBN(0x23d8c484, 0xda06a2f7),
TOBN(0x896714b0, 0x50ca535b), TOBN(0xdc8d3644, 0xebd97a9b),
TOBN(0x106ef9fa, 0xb12177b4), TOBN(0xf79bf464, 0x534d5d9c),
TOBN(0x2537a349, 0xa6ab360b), TOBN(0xc7c54253, 0xa00c744f),
TOBN(0xb3c7a047, 0xe5911a76), TOBN(0x61ffa5c8, 0x647f1ee7),
TOBN(0x15aed36f, 0x8f56ab42), TOBN(0x6a0d41b0, 0xa3ff9ac9),
TOBN(0x68f469f5, 0xcc30d357), TOBN(0xbe9adf81, 0x6b72be96),
TOBN(0x1cd926fe, 0x903ad461), TOBN(0x7e89e38f, 0xcaca441b),
TOBN(0xf0f82de5, 0xfacf69d4), TOBN(0x363b7e76, 0x4775344c),
TOBN(0x6894f312, 0xb2e36d04), TOBN(0x3c6cb4fe, 0x11d1c9a5),
TOBN(0x85d9c339, 0x4008e1f2), TOBN(0x5e9a85ea, 0x249f326c),
TOBN(0xdc35c60a, 0x678c5e06), TOBN(0xc08b944f, 0x9f86fba9),
TOBN(0xde40c02c, 0x89f71f0f), TOBN(0xad8f3e31, 0xff3da3c0),
TOBN(0x3ea5096b, 0x42125ded), TOBN(0x13879cbf, 0xa7379183),
TOBN(0x6f4714a5, 0x6b306a0b), TOBN(0x359c2ea6, 0x67646c5e),
TOBN(0xfacf8943, 0x07726368), TOBN(0x07a58935, 0x65ff431e),
TOBN(0x24d661d1, 0x68754ab0), TOBN(0x801fce1d, 0x6f429a76),
TOBN(0xc068a85f, 0xa58ce769), TOBN(0xedc35c54, 0x5d5eca2b),
TOBN(0xea31276f, 0xa3f660d1), TOBN(0xa0184ebe, 0xb8fc7167),
TOBN(0x0f20f21a, 0x1d8db0ae), TOBN(0xd96d095f, 0x56c35e12),
TOBN(0xedf402b5, 0xf8c2a25b), TOBN(0x1bb772b9, 0x059204b6),
TOBN(0x50cbeae2, 0x19b4e34c), TOBN(0x93109d80, 0x3fa0845a),
TOBN(0x54f7ccf7, 0x8ef59fb5), TOBN(0x3b438fe2, 0x88070963),
TOBN(0x9e28c659, 0x31f3ba9b), TOBN(0x9cc31b46, 0xead9da92),
TOBN(0x3c2f0ba9, 0xb733aa5f), TOBN(0xdece47cb, 0xf05af235),
TOBN(0xf8e3f715, 0xa2ac82a5), TOBN(0xc97ba641, 0x2203f18a),
TOBN(0xc3af5504, 0x09c11060), TOBN(0x56ea2c05, 0x46af512d),
TOBN(0xfac28daf, 0xf3f28146), TOBN(0x87fab43a, 0x959ef494),}
,
{TOBN(0x09891641, 0xd4c5105f), TOBN(0x1ae80f8e, 0x6d7fbd65),
TOBN(0x9d67225f, 0xbee6bdb0), TOBN(0x3b433b59, 0x7fc4d860),
TOBN(0x44e66db6, 0x93e85638), TOBN(0xf7b59252, 0xe3e9862f),
TOBN(0xdb785157, 0x665c32ec), TOBN(0x702fefd7, 0xae362f50),
TOBN(0x3754475d, 0x0fefb0c3), TOBN(0xd48fb56b, 0x46d7c35d),
TOBN(0xa070b633, 0x363798a4), TOBN(0xae89f3d2, 0x8fdb98e6),
TOBN(0x970b89c8, 0x6363d14c), TOBN(0x89817521, 0x67abd27d),
TOBN(0x9bf7d474, 0x44d5a021), TOBN(0xb3083baf, 0xcac72aee),
TOBN(0x389741de, 0xbe949a44), TOBN(0x638e9388, 0x546a4fa5),
TOBN(0x3fe6419c, 0xa0047bdc), TOBN(0x7047f648, 0xaaea57ca),
TOBN(0x54e48a90, 0x41fbab17), TOBN(0xda8e0b28, 0x576bdba2),
TOBN(0xe807eebc, 0xc72afddc), TOBN(0x07d3336d, 0xf42577bf),
TOBN(0x62a8c244, 0xbfe20925), TOBN(0x91c19ac3, 0x8fdce867),
TOBN(0x5a96a5d5, 0xdd387063), TOBN(0x61d587d4, 0x21d324f6),
TOBN(0xe87673a2, 0xa37173ea), TOBN(0x23848008, 0x53778b65),
TOBN(0x10f8441e, 0x05bab43e), TOBN(0xfa11fe12, 0x4621efbe),
TOBN(0x047b772e, 0x81685d7b), TOBN(0x23f27d81, 0xbf34a976),
TOBN(0xc27608e2, 0x915f48ef), TOBN(0x3b0b43fa, 0xa521d5c3),
TOBN(0x7613fb26, 0x63ca7284), TOBN(0x7f5729b4, 0x1d4db837),
TOBN(0x87b14898, 0x583b526b), TOBN(0x00b732a6, 0xbbadd3d1),
TOBN(0x8e02f426, 0x2048e396), TOBN(0x436b50b6, 0x383d9de4),
TOBN(0xf78d3481, 0x471e85ad), TOBN(0x8b01ea6a, 0xd005c8d6),
TOBN(0xd3c7afee, 0x97015c07), TOBN(0x46cdf1a9, 0x4e3ba2ae),
TOBN(0x7a42e501, 0x83d3a1d2), TOBN(0xd54b5268, 0xb541dff4),
TOBN(0x3f24cf30, 0x4e23e9bc), TOBN(0x4387f816, 0x126e3624),
TOBN(0x26a46a03, 0x3b0b6d61), TOBN(0xaf1bc845, 0x8b2d777c),
TOBN(0x25c401ba, 0x527de79c), TOBN(0x0e1346d4, 0x4261bbb6),
TOBN(0x4b96c44b, 0x287b4bc7), TOBN(0x658493c7, 0x5254562f),
TOBN(0x23f949fe, 0xb8a24a20), TOBN(0x17ebfed1, 0xf52ca53f),
TOBN(0x9b691bbe, 0xbcfb4853), TOBN(0x5617ff6b, 0x6278a05d),
TOBN(0x241b34c5, 0xe3c99ebd), TOBN(0xfc64242e, 0x1784156a),
TOBN(0x4206482f, 0x695d67df), TOBN(0xb967ce0e, 0xee27c011),
TOBN(0x65db3751, 0x21c80b5d), TOBN(0x2e7a563c, 0xa31ecca0),
TOBN(0xe56ffc4e, 0x5238a07e), TOBN(0x3d6c2966, 0x32ced854),
TOBN(0xe99d7d1a, 0xaf70b885), TOBN(0xafc3bad9, 0x2d686459),
TOBN(0x9c78bf46, 0x0cc8ba5b), TOBN(0x5a439519, 0x18955aa3),
TOBN(0xf8b517a8, 0x5fe4e314), TOBN(0xe60234d0, 0xfcb8906f),
TOBN(0xffe542ac, 0xf2061b23), TOBN(0x287e191f, 0x6b4cb59c),
TOBN(0x21857ddc, 0x09d877d8), TOBN(0x1c23478c, 0x14678941),
TOBN(0xbbf0c056, 0xb6e05ea4), TOBN(0x82da4b53, 0xb01594fe),
TOBN(0xf7526791, 0xfadb8608), TOBN(0x049e832d, 0x7b74cdf6),
TOBN(0xa43581cc, 0xc2b90a34), TOBN(0x73639eb8, 0x9360b10c),
TOBN(0x4fba331f, 0xe1e4a71b), TOBN(0x6ffd6b93, 0x8072f919),
TOBN(0x6e53271c, 0x65679032), TOBN(0x67206444, 0xf14272ce),
TOBN(0xc0f734a3, 0xb2335834), TOBN(0x9526205a, 0x90ef6860),
TOBN(0xcb8be717, 0x04e2bb0d), TOBN(0x2418871e, 0x02f383fa),
TOBN(0xd7177681, 0x4082c157), TOBN(0xcc914ad0, 0x29c20073),
TOBN(0xf186c1eb, 0xe587e728), TOBN(0x6fdb3c22, 0x61bcd5fd),
TOBN(0x30d014a6, 0xf2f9f8e9), TOBN(0x963ece23, 0x4fec49d2),
TOBN(0x862025c5, 0x9605a8d9), TOBN(0x39874445, 0x19f8929a),
TOBN(0x01b6ff65, 0x12bf476a), TOBN(0x598a64d8, 0x09cf7d91),
TOBN(0xd7ec7749, 0x93be56ca), TOBN(0x10899785, 0xcbb33615),
TOBN(0xb8a092fd, 0x02eee3ad), TOBN(0xa86b3d35, 0x30145270),
TOBN(0x323d98c6, 0x8512b675), TOBN(0x4b8bc785, 0x62ebb40f),
TOBN(0x7d301f54, 0x413f9cde), TOBN(0xa5e4fb4f, 0x2bab5664),
TOBN(0x1d2b252d, 0x1cbfec23), TOBN(0xfcd576bb, 0xe177120d),
TOBN(0x04427d3e, 0x83731a34), TOBN(0x2bb9028e, 0xed836e8e),
TOBN(0xb36acff8, 0xb612ca7c), TOBN(0xb88fe5ef, 0xd3d9c73a),
TOBN(0xbe2a6bc6, 0xedea4eb3), TOBN(0x43b93133, 0x488eec77),
TOBN(0xf41ff566, 0xb17106e1), TOBN(0x469e9172, 0x654efa32),
TOBN(0xb4480f04, 0x41c23fa3), TOBN(0xb4712eb0, 0xc1989a2e),
TOBN(0x3ccbba0f, 0x93a29ca7), TOBN(0x6e205c14, 0xd619428c),
TOBN(0x90db7957, 0xb3641686), TOBN(0x0432691d, 0x45ac8b4e),
TOBN(0x07a759ac, 0xf64e0350), TOBN(0x0514d89c, 0x9c972517),
TOBN(0x1701147f, 0xa8e67fc3), TOBN(0x9e2e0b8b, 0xab2085be),
TOBN(0xd5651824, 0xac284e57), TOBN(0x890d4325, 0x74893664),
TOBN(0x8a7c5e6e, 0xc55e68a3), TOBN(0xbf12e90b, 0x4339c85a),
TOBN(0x31846b85, 0xf922b655), TOBN(0x9a54ce4d, 0x0bf4d700),
TOBN(0xd7f4e83a, 0xf1a14295), TOBN(0x916f955c, 0xb285d4f9),
TOBN(0xe57bb0e0, 0x99ffdaba), TOBN(0x28a43034, 0xeab0d152),
TOBN(0x0a36ffa2, 0xb8a9cef8), TOBN(0x5517407e, 0xb9ec051a),
TOBN(0x9c796096, 0xea68e672), TOBN(0x853db5fb, 0xfb3c77fb),
TOBN(0x21474ba9, 0xe864a51a), TOBN(0x6c267699, 0x6e8a1b8b),
TOBN(0x7c823626, 0x94120a28), TOBN(0xe61e9a48, 0x8383a5db),
TOBN(0x7dd75003, 0x9f84216d), TOBN(0xab020d07, 0xad43cd85),
TOBN(0x9437ae48, 0xda12c659), TOBN(0x6449c2eb, 0xe65452ad),
TOBN(0xcc7c4c1c, 0x2cf9d7c1), TOBN(0x1320886a, 0xee95e5ab),
TOBN(0xbb7b9056, 0xbeae170c), TOBN(0xc8a5b250, 0xdbc0d662),
TOBN(0x4ed81432, 0xc11d2303), TOBN(0x7da66912, 0x1f03769f),
TOBN(0x3ac7a5fd, 0x84539828), TOBN(0x14dada94, 0x3bccdd02),
TOBN(0x8b84c321, 0x7ef6b0d1), TOBN(0x52a9477a, 0x7c933f22),
TOBN(0x5ef6728a, 0xfd440b82), TOBN(0x5c3bd859, 0x6ce4bd5e),
TOBN(0x918b80f5, 0xf22c2d3e), TOBN(0x368d5040, 0xb7bb6cc5),
TOBN(0xb66142a1, 0x2695a11c), TOBN(0x60ac583a, 0xeb19ea70),
TOBN(0x317cbb98, 0x0eab2437), TOBN(0x8cc08c55, 0x5e2654c8),
TOBN(0xfe2d6520, 0xe6d8307f), TOBN(0xe9f147f3, 0x57428993),
TOBN(0x5f9c7d14, 0xd2fd6cf1), TOBN(0xa3ecd064, 0x2d4fcbb0),
TOBN(0xad83fef0, 0x8e7341f7), TOBN(0x643f23a0, 0x3a63115c),
TOBN(0xd38a78ab, 0xe65ab743), TOBN(0xbf7c75b1, 0x35edc89c),
TOBN(0x3dd8752e, 0x530df568), TOBN(0xf85c4a76, 0xe308c682),
TOBN(0x4c9955b2, 0xe68acf37), TOBN(0xa544df3d, 0xab32af85),
TOBN(0x4b8ec3f5, 0xa25cf493), TOBN(0x4d8f2764, 0x1a622feb),
TOBN(0x7bb4f7aa, 0xf0dcbc49), TOBN(0x7de551f9, 0x70bbb45b),
TOBN(0xcfd0f3e4, 0x9f2ca2e5), TOBN(0xece58709, 0x1f5c76ef),
TOBN(0x32920edd, 0x167d79ae), TOBN(0x039df8a2, 0xfa7d7ec1),
TOBN(0xf46206c0, 0xbb30af91), TOBN(0x1ff5e2f5, 0x22676b59),
TOBN(0x11f4a039, 0x6ea51d66), TOBN(0x506c1445, 0x807d7a26),
TOBN(0x60da5705, 0x755a9b24), TOBN(0x8fc8cc32, 0x1f1a319e),
TOBN(0x83642d4d, 0x9433d67d), TOBN(0x7fa5cb8f, 0x6a7dd296),
TOBN(0x576591db, 0x9b7bde07), TOBN(0x13173d25, 0x419716fb),
TOBN(0xea30599d, 0xd5b340ff), TOBN(0xfc6b5297, 0xb0fe76c5),
TOBN(0x1c6968c8, 0xab8f5adc), TOBN(0xf723c7f5, 0x901c928d),
TOBN(0x4203c321, 0x9773d402), TOBN(0xdf7c6aa3, 0x1b51dd47),
TOBN(0x3d49e37a, 0x552be23c), TOBN(0x57febee8, 0x0b5a6e87),
TOBN(0xc5ecbee4, 0x7bd8e739), TOBN(0x79d44994, 0xae63bf75),
TOBN(0x168bd00f, 0x38fb8923), TOBN(0x75d48ee4, 0xd0533130),
TOBN(0x554f77aa, 0xdb5cdf33), TOBN(0x3396e896, 0x3c696769),
TOBN(0x2fdddbf2, 0xd3fd674e), TOBN(0xbbb8f6ee, 0x99d0e3e5),
TOBN(0x51b90651, 0xcbae2f70), TOBN(0xefc4bc05, 0x93aaa8eb),
TOBN(0x8ecd8689, 0xdd1df499), TOBN(0x1aee99a8, 0x22f367a5),
TOBN(0x95d485b9, 0xae8274c5), TOBN(0x6c14d445, 0x7d30b39c),
TOBN(0xbafea90b, 0xbcc1ef81), TOBN(0x7c5f317a, 0xa459a2ed),
TOBN(0x01211075, 0x4ef44227), TOBN(0xa17bed6e, 0xdc20f496),
TOBN(0x0cdfe424, 0x819853cd), TOBN(0x13793298, 0xf71e2ce7),
TOBN(0x3c1f3078, 0xdbbe307b), TOBN(0x6dd1c20e, 0x76ee9936),
TOBN(0x23ee4b57, 0x423caa20), TOBN(0x4ac3793b, 0x8efb840e),
TOBN(0x934438eb, 0xed1f8ca0), TOBN(0x3e546658, 0x4ebb25a2),
TOBN(0xc415af0e, 0xc069896f), TOBN(0xc13eddb0, 0x9a5aa43d),
TOBN(0x7a04204f, 0xd49eb8f6), TOBN(0xd0d5bdfc, 0xd74f1670),
TOBN(0x3697e286, 0x56fc0558), TOBN(0x10207371, 0x01cebade),
TOBN(0x5f87e690, 0x0647a82b), TOBN(0x908e0ed4, 0x8f40054f),
TOBN(0xa9f633d4, 0x79853803), TOBN(0x8ed13c9a, 0x4a28b252),
TOBN(0x3e2ef676, 0x1f460f64), TOBN(0x53930b9b, 0x36d06336),
TOBN(0x347073ac, 0x8fc4979b), TOBN(0x84380e0e, 0x5ecd5597),
TOBN(0xe3b22c6b, 0xc4fe3c39), TOBN(0xba4a8153, 0x6c7bebdf),
TOBN(0xf23ab6b7, 0x25693459), TOBN(0x53bc3770, 0x14922b11),
TOBN(0x4645c8ab, 0x5afc60db), TOBN(0xaa022355, 0x20b9f2a3),
TOBN(0x52a2954c, 0xce0fc507), TOBN(0x8c2731bb, 0x7ce1c2e7),
TOBN(0xf39608ab, 0x18a0339d), TOBN(0xac7a658d, 0x3735436c),
TOBN(0xb22c2b07, 0xcd992b4f), TOBN(0x4e83daec, 0xf40dcfd4),
TOBN(0x8a34c7be, 0x2f39ea3e), TOBN(0xef0c005f, 0xb0a56d2e),
TOBN(0x62731f6a, 0x6edd8038), TOBN(0x5721d740, 0x4e3cb075),
TOBN(0x1ea41511, 0xfbeeee1b), TOBN(0xd1ef5e73, 0xef1d0c05),
TOBN(0x42feefd1, 0x73c07d35), TOBN(0xe530a00a, 0x8a329493),
TOBN(0x5d55b7fe, 0xf15ebfb0), TOBN(0x549de03c, 0xd322491a),
TOBN(0xf7b5f602, 0x745b3237), TOBN(0x3632a3a2, 0x1ab6e2b6),
TOBN(0x0d3bba89, 0x0ef59f78), TOBN(0x0dfc6443, 0xc9e52b9a),
TOBN(0x1dc79699, 0x72631447), TOBN(0xef033917, 0xb3be20b1),
TOBN(0x0c92735d, 0xb1383948), TOBN(0xc1fc29a2, 0xc0dd7d7d),
TOBN(0x6485b697, 0x403ed068), TOBN(0x13bfaab3, 0xaac93bdc),
TOBN(0x410dc6a9, 0x0deeaf52), TOBN(0xb003fb02, 0x4c641c15),
TOBN(0x1384978c, 0x5bc504c4), TOBN(0x37640487, 0x864a6a77),
TOBN(0x05991bc6, 0x222a77da), TOBN(0x62260a57, 0x5e47eb11),
TOBN(0xc7af6613, 0xf21b432c), TOBN(0x22f3acc9, 0xab4953e9),
TOBN(0x52934922, 0x8e41d155), TOBN(0x4d024568, 0x3ac059ef),
TOBN(0xb0201755, 0x4d884411), TOBN(0xce8055cf, 0xa59a178f),
TOBN(0xcd77d1af, 0xf6204549), TOBN(0xa0a00a3e, 0xc7066759),
TOBN(0x471071ef, 0x0272c229), TOBN(0x009bcf6b, 0xd3c4b6b0),
TOBN(0x2a2638a8, 0x22305177), TOBN(0xd51d59df, 0x41645bbf),
TOBN(0xa81142fd, 0xc0a7a3c0), TOBN(0xa17eca6d, 0x4c7063ee),
TOBN(0x0bb887ed, 0x60d9dcec), TOBN(0xd6d28e51, 0x20ad2455),
TOBN(0xebed6308, 0xa67102ba), TOBN(0x042c3114, 0x8bffa408),
TOBN(0xfd099ac5, 0x8aa68e30), TOBN(0x7a6a3d7c, 0x1483513e),
TOBN(0xffcc6b75, 0xba2d8f0c), TOBN(0x54dacf96, 0x1e78b954),
TOBN(0xf645696f, 0xa4a9af89), TOBN(0x3a411940, 0x06ac98ec),
TOBN(0x41b8b3f6, 0x22a67a20), TOBN(0x2d0b1e0f, 0x99dec626),
TOBN(0x27c89192, 0x40be34e8), TOBN(0xc7162b37, 0x91907f35),
TOBN(0x90188ec1, 0xa956702b), TOBN(0xca132f7d, 0xdf93769c),
TOBN(0x3ece44f9, 0x0e2025b4), TOBN(0x67aaec69, 0x0c62f14c),
TOBN(0xad741418, 0x22e3cc11), TOBN(0xcf9b75c3, 0x7ff9a50e),
TOBN(0x02fa2b16, 0x4d348272), TOBN(0xbd99d61a, 0x9959d56d),
TOBN(0xbc4f19db, 0x18762916), TOBN(0xcc7cce50, 0x49c1ac80),
TOBN(0x4d59ebaa, 0xd846bd83), TOBN(0x8775a9dc, 0xa9202849),
TOBN(0x07ec4ae1, 0x6e1f4ca9), TOBN(0x27eb5875, 0xba893f11),
TOBN(0x00284d51, 0x662cc565), TOBN(0x82353a6b, 0x0db4138d),
TOBN(0xd9c7aaaa, 0xaa32a594), TOBN(0xf5528b5e, 0xa5669c47),
TOBN(0xf3220231, 0x2f23c5ff), TOBN(0xe3e8147a, 0x6affa3a1),
TOBN(0xfb423d5c, 0x202ddda0), TOBN(0x3d6414ac, 0x6b871bd4),
TOBN(0x586f82e1, 0xa51a168a), TOBN(0xb712c671, 0x48ae5448),
TOBN(0x9a2e4bd1, 0x76233eb8), TOBN(0x0188223a, 0x78811ca9),
TOBN(0x553c5e21, 0xf7c18de1), TOBN(0x7682e451, 0xb27bb286),
TOBN(0x3ed036b3, 0x0e51e929), TOBN(0xf487211b, 0xec9cb34f),
TOBN(0x0d094277, 0x0c24efc8), TOBN(0x0349fd04, 0xbef737a4),
TOBN(0x6d1c9dd2, 0x514cdd28), TOBN(0x29c135ff, 0x30da9521),
TOBN(0xea6e4508, 0xf78b0b6f), TOBN(0x176f5dd2, 0x678c143c),
TOBN(0x08148418, 0x4be21e65), TOBN(0x27f7525c, 0xe7df38c4),
TOBN(0x1fb70e09, 0x748ab1a4), TOBN(0x9cba50a0, 0x5efe4433),
TOBN(0x7846c7a6, 0x15f75af2), TOBN(0x2a7c2c57, 0x5ee73ea8),
TOBN(0x42e566a4, 0x3f0a449a), TOBN(0x45474c3b, 0xad90fc3d),
TOBN(0x7447be3d, 0x8b61d057), TOBN(0x3e9d1cf1, 0x3a4ec092),
TOBN(0x1603e453, 0xf380a6e6), TOBN(0x0b86e431, 0x9b1437c2),
TOBN(0x7a4173f2, 0xef29610a), TOBN(0x8fa729a7, 0xf03d57f7),
TOBN(0x3e186f6e, 0x6c9c217e), TOBN(0xbe1d3079, 0x91919524),
TOBN(0x92a62a70, 0x153d4fb1), TOBN(0x32ed3e34, 0xd68c2f71),
TOBN(0xd785027f, 0x9eb1a8b7), TOBN(0xbc37eb77, 0xc5b22fe8),
TOBN(0x466b34f0, 0xb9d6a191), TOBN(0x008a89af, 0x9a05f816),
TOBN(0x19b028fb, 0x7d42c10a), TOBN(0x7fe8c92f, 0x49b3f6b8),
TOBN(0x58907cc0, 0xa5a0ade3), TOBN(0xb3154f51, 0x559d1a7c),
TOBN(0x5066efb6, 0xd9790ed6), TOBN(0xa77a0cbc, 0xa6aa793b),
TOBN(0x1a915f3c, 0x223e042e), TOBN(0x1c5def04, 0x69c5874b),
TOBN(0x0e830078, 0x73b6c1da), TOBN(0x55cf85d2, 0xfcd8557a),
TOBN(0x0f7c7c76, 0x0460f3b1), TOBN(0x87052acb, 0x46e58063),
TOBN(0x09212b80, 0x907eae66), TOBN(0x3cb068e0, 0x4d721c89),
TOBN(0xa87941ae, 0xdd45ac1c), TOBN(0xde8d5c0d, 0x0daa0dbb),
TOBN(0xda421fdc, 0xe3502e6e), TOBN(0xc8944201, 0x4d89a084),
TOBN(0x7307ba5e, 0xf0c24bfb), TOBN(0xda212beb, 0x20bde0ef),
TOBN(0xea2da24b, 0xf82ce682), TOBN(0x058d3816, 0x07f71fe4),
TOBN(0x35a02462, 0x5ffad8de), TOBN(0xcd7b05dc, 0xaadcefab),
TOBN(0xd442f8ed, 0x1d9f54ec), TOBN(0x8be3d618, 0xb2d3b5ca),
TOBN(0xe2220ed0, 0xe06b2ce2), TOBN(0x82699a5f, 0x1b0da4c0),
TOBN(0x3ff106f5, 0x71c0c3a7), TOBN(0x8f580f5a, 0x0d34180c),
TOBN(0x4ebb120e, 0x22d7d375), TOBN(0x5e5782cc, 0xe9513675),
TOBN(0x2275580c, 0x99c82a70), TOBN(0xe8359fbf, 0x15ea8c4c),
TOBN(0x53b48db8, 0x7b415e70), TOBN(0xaacf2240, 0x100c6014),
TOBN(0x9faaccf5, 0xe4652f1d), TOBN(0xbd6fdd2a, 0xd56157b2),
TOBN(0xa4f4fb1f, 0x6261ec50), TOBN(0x244e55ad, 0x476bcd52),
TOBN(0x881c9305, 0x047d320b), TOBN(0x1ca983d5, 0x6181263f),
TOBN(0x354e9a44, 0x278fb8ee), TOBN(0xad2dbc0f, 0x396e4964),
TOBN(0x723f3aa2, 0x9268b3de), TOBN(0x0d1ca29a, 0xe6e0609a),
TOBN(0x794866aa, 0x6cf44252), TOBN(0x0b59f3e3, 0x01af87ed),
TOBN(0xe234e5ff, 0x7f4a6c51), TOBN(0xa8768fd2, 0x61dc2f7e),
TOBN(0xdafc7332, 0x0a94d81f), TOBN(0xd7f84282, 0x06938ce1),
TOBN(0xae0b3c0e, 0x0546063e), TOBN(0x7fbadcb2, 0x5d61abc6),
TOBN(0xd5d7a2c9, 0x369ac400), TOBN(0xa5978d09, 0xae67d10c),
TOBN(0x290f211e, 0x4f85eaac), TOBN(0xe61e2ad1, 0xfacac681),
TOBN(0xae125225, 0x388384cd), TOBN(0xa7fb68e9, 0xccfde30f),
TOBN(0x7a59b936, 0x3daed4c2), TOBN(0x80a9aa40, 0x2606f789),
TOBN(0xb40c1ea5, 0xf6a6d90a), TOBN(0x948364d3, 0x514d5885),
TOBN(0x062ebc60, 0x70985182), TOBN(0xa6db5b0e, 0x33310895),
TOBN(0x64a12175, 0xe329c2f5), TOBN(0xc5f25bd2, 0x90ea237e),
TOBN(0x7915c524, 0x2d0a4c23), TOBN(0xeb5d26e4, 0x6bb3cc52),
TOBN(0x369a9116, 0xc09e2c92), TOBN(0x0c527f92, 0xcf182cf8),
TOBN(0x9e591938, 0x2aede0ac), TOBN(0xb2922208, 0x6cc34939),
TOBN(0x3c9d8962, 0x99a34361), TOBN(0x3c81836d, 0xc1905fe6),
TOBN(0x4bfeb57f, 0xa001ec5a), TOBN(0xe993f5bb, 0xa0dc5dba),
TOBN(0x47884109, 0x724a1380), TOBN(0x8a0369ab, 0x32fe9a04),
TOBN(0xea068d60, 0x8c927db8), TOBN(0xbf5f37cf, 0x94655741),
TOBN(0x47d402a2, 0x04b6c7ea), TOBN(0x4551c295, 0x6af259cb),
TOBN(0x698b71e7, 0xed77ee8b), TOBN(0xbddf7bd0, 0xf309d5c7),
TOBN(0x6201c22c, 0x34e780ca), TOBN(0xab04f7d8, 0x4c295ef4),
TOBN(0x1c947294, 0x4313a8ce), TOBN(0xe532e4ac, 0x92ca4cfe),
TOBN(0x89738f80, 0xd0a7a97a), TOBN(0xec088c88, 0xa580fd5b),
TOBN(0x612b1ecc, 0x42ce9e51), TOBN(0x8f9840fd, 0xb25fdd2a),
TOBN(0x3cda78c0, 0x01e7f839), TOBN(0x546b3d3a, 0xece05480),
TOBN(0x271719a9, 0x80d30916), TOBN(0x45497107, 0x584c20c4),
TOBN(0xaf8f9478, 0x5bc78608), TOBN(0x28c7d484, 0x277e2a4c),
TOBN(0xfce01767, 0x88a2ffe4), TOBN(0xdc506a35, 0x28e169a5),
TOBN(0x0ea10861, 0x7af9c93a), TOBN(0x1ed24361, 0x03fa0e08),
TOBN(0x96eaaa92, 0xa3d694e7), TOBN(0xc0f43b4d, 0xef50bc74),
TOBN(0xce6aa58c, 0x64114db4), TOBN(0x8218e8ea, 0x7c000fd4),
TOBN(0xac815dfb, 0x185f8844), TOBN(0xcd7e90cb, 0x1557abfb),
TOBN(0x23d16655, 0xafbfecdf), TOBN(0x80f3271f, 0x085cac4a),
TOBN(0x7fc39aa7, 0xd0e62f47), TOBN(0x88d519d1, 0x460a48e5),
TOBN(0x59559ac4, 0xd28f101e), TOBN(0x7981d9e9, 0xca9ae816),
TOBN(0x5c38652c, 0x9ac38203), TOBN(0x86eaf87f, 0x57657fe5),
TOBN(0x568fc472, 0xe21f5416), TOBN(0x2afff39c, 0xe7e597b5),
TOBN(0x3adbbb07, 0x256d4eab), TOBN(0x22598692, 0x8285ab89),
TOBN(0x35f8112a, 0x041caefe), TOBN(0x95df02e3, 0xa5064c8b),
TOBN(0x4d63356e, 0xc7004bf3), TOBN(0x230a08f4, 0xdb83c7de),
TOBN(0xca27b270, 0x8709a7b7), TOBN(0x0d1c4cc4, 0xcb9abd2d),
TOBN(0x8a0bc66e, 0x7550fee8), TOBN(0x369cd4c7, 0x9cf7247e),
TOBN(0x75562e84, 0x92b5b7e7), TOBN(0x8fed0da0, 0x5802af7b),
TOBN(0x6a7091c2, 0xe48fb889), TOBN(0x26882c13, 0x7b8a9d06),
TOBN(0xa2498663, 0x1b82a0e2), TOBN(0x844ed736, 0x3518152d),
TOBN(0x282f476f, 0xd86e27c7), TOBN(0xa04edaca, 0x04afefdc),
TOBN(0x8b256ebc, 0x6119e34d), TOBN(0x56a413e9, 0x0787d78b),}
,
{TOBN(0x82ee061d, 0x5a74be50), TOBN(0xe41781c4, 0xdea16ff5),
TOBN(0xe0b0c81e, 0x99bfc8a2), TOBN(0x624f4d69, 0x0b547e2d),
TOBN(0x3a83545d, 0xbdcc9ae4), TOBN(0x2573dbb6, 0x409b1e8e),
TOBN(0x482960c4, 0xa6c93539), TOBN(0xf01059ad, 0x5ae18798),
TOBN(0x715c9f97, 0x3112795f), TOBN(0xe8244437, 0x984e6ee1),
TOBN(0x55cb4858, 0xecb66bcd), TOBN(0x7c136735, 0xabaffbee),
TOBN(0x54661595, 0x5dbec38e), TOBN(0x51c0782c, 0x388ad153),
TOBN(0x9ba4c53a, 0xc6e0952f), TOBN(0x27e6782a, 0x1b21dfa8),
TOBN(0x682f903d, 0x4ed2dbc2), TOBN(0x0eba59c8, 0x7c3b2d83),
TOBN(0x8e9dc84d, 0x9c7e9335), TOBN(0x5f9b21b0, 0x0eb226d7),
TOBN(0xe33bd394, 0xaf267bae), TOBN(0xaa86cc25, 0xbe2e15ae),
TOBN(0x4f0bf67d, 0x6a8ec500), TOBN(0x5846aa44, 0xf9630658),
TOBN(0xfeb09740, 0xe2c2bf15), TOBN(0x627a2205, 0xa9e99704),
TOBN(0xec8d73d0, 0xc2fbc565), TOBN(0x223eed8f, 0xc20c8de8),
TOBN(0x1ee32583, 0xa8363b49), TOBN(0x1a0b6cb9, 0xc9c2b0a6),
TOBN(0x49f7c3d2, 0x90dbc85c), TOBN(0xa8dfbb97, 0x1ef4c1ac),
TOBN(0xafb34d4c, 0x65c7c2ab), TOBN(0x1d4610e7, 0xe2c5ea84),
TOBN(0x893f6d1b, 0x973c4ab5), TOBN(0xa3cdd7e9, 0x945ba5c4),
TOBN(0x60514983, 0x064417ee), TOBN(0x1459b23c, 0xad6bdf2b),
TOBN(0x23b2c341, 0x5cf726c3), TOBN(0x3a829635, 0x32d6354a),
TOBN(0x294f901f, 0xab192c18), TOBN(0xec5fcbfe, 0x7030164f),
TOBN(0xe2e2fcb7, 0xe2246ba6), TOBN(0x1e7c88b3, 0x221a1a0c),
TOBN(0x72c7dd93, 0xc92d88c5), TOBN(0x41c2148e, 0x1106fb59),
TOBN(0x547dd4f5, 0xa0f60f14), TOBN(0xed9b52b2, 0x63960f31),
TOBN(0x6c8349eb, 0xb0a5b358), TOBN(0xb154c5c2, 0x9e7e2ed6),
TOBN(0xcad5eccf, 0xeda462db), TOBN(0xf2d6dbe4, 0x2de66b69),
TOBN(0x426aedf3, 0x8665e5b2), TOBN(0x488a8513, 0x7b7f5723),
TOBN(0x15cc43b3, 0x8bcbb386), TOBN(0x27ad0af3, 0xd791d879),
TOBN(0xc16c236e, 0x846e364f), TOBN(0x7f33527c, 0xdea50ca0),
TOBN(0xc4810775, 0x0926b86d), TOBN(0x6c2a3609, 0x0598e70c),
TOBN(0xa6755e52, 0xf024e924), TOBN(0xe0fa07a4, 0x9db4afca),
TOBN(0x15c3ce7d, 0x66831790), TOBN(0x5b4ef350, 0xa6cbb0d6),
TOBN(0x2c4aafc4, 0xb6205969), TOBN(0x42563f02, 0xf6c7854f),
TOBN(0x016aced5, 0x1d983b48), TOBN(0xfeb356d8, 0x99949755),
TOBN(0x8c2a2c81, 0xd1a39bd7), TOBN(0x8f44340f, 0xe6934ae9),
TOBN(0x148cf91c, 0x447904da), TOBN(0x7340185f, 0x0f51a926),
TOBN(0x2f8f00fb, 0x7409ab46), TOBN(0x057e78e6, 0x80e289b2),
TOBN(0x03e5022c, 0xa888e5d1), TOBN(0x3c87111a, 0x9dede4e2),
TOBN(0x5b9b0e1c, 0x7809460b), TOBN(0xe751c852, 0x71c9abc7),
TOBN(0x8b944e28, 0xc7cc1dc9), TOBN(0x4f201ffa, 0x1d3cfa08),
TOBN(0x02fc905c, 0x3e6721ce), TOBN(0xd52d70da, 0xd0b3674c),
TOBN(0x5dc2e5ca, 0x18810da4), TOBN(0xa984b273, 0x5c69dd99),
TOBN(0x63b92527, 0x84de5ca4), TOBN(0x2f1c9872, 0xc852dec4),
TOBN(0x18b03593, 0xc2e3de09), TOBN(0x19d70b01, 0x9813dc2f),
TOBN(0x42806b2d, 0xa6dc1d29), TOBN(0xd3030009, 0xf871e144),
TOBN(0xa1feb333, 0xaaf49276), TOBN(0xb5583b9e, 0xc70bc04b),
TOBN(0x1db0be78, 0x95695f20), TOBN(0xfc841811, 0x89d012b5),
TOBN(0x6409f272, 0x05f61643), TOBN(0x40d34174, 0xd5883128),
TOBN(0xd79196f5, 0x67419833), TOBN(0x6059e252, 0x863b7b08),
TOBN(0x84da1817, 0x1c56700c), TOBN(0x5758ee56, 0xb28d3ec4),
TOBN(0x7da2771d, 0x013b0ea6), TOBN(0xfddf524b, 0x54c5e9b9),
TOBN(0x7df4faf8, 0x24305d80), TOBN(0x58f5c1bf, 0x3a97763f),
TOBN(0xa5af37f1, 0x7c696042), TOBN(0xd4cba22c, 0x4a2538de),
TOBN(0x211cb995, 0x9ea42600), TOBN(0xcd105f41, 0x7b069889),
TOBN(0xb1e1cf19, 0xddb81e74), TOBN(0x472f2d89, 0x5157b8ca),
TOBN(0x086fb008, 0xee9db885), TOBN(0x365cd570, 0x0f26d131),
TOBN(0x284b02bb, 0xa2be7053), TOBN(0xdcbbf7c6, 0x7ab9a6d6),
TOBN(0x4425559c, 0x20f7a530), TOBN(0x961f2dfa, 0x188767c8),
TOBN(0xe2fd9435, 0x70dc80c4), TOBN(0x104d6b63, 0xf0784120),
TOBN(0x7f592bc1, 0x53567122), TOBN(0xf6bc1246, 0xf688ad77),
TOBN(0x05214c05, 0x0f15dde9), TOBN(0xa47a76a8, 0x0d5f2b82),
TOBN(0xbb254d30, 0x62e82b62), TOBN(0x11a05fe0, 0x3ec955ee),
TOBN(0x7eaff46e, 0x9d529b36), TOBN(0x55ab1301, 0x8f9e3df6),
TOBN(0xc463e371, 0x99317698), TOBN(0xfd251438, 0xccda47ad),
TOBN(0xca9c3547, 0x23d695ea), TOBN(0x48ce626e, 0x16e589b5),
TOBN(0x6b5b64c7, 0xb187d086), TOBN(0xd02e1794, 0xb2207948),
TOBN(0x8b58e98f, 0x7198111d), TOBN(0x90ca6305, 0xdcf9c3cc),
TOBN(0x5691fe72, 0xf34089b0), TOBN(0x60941af1, 0xfc7c80ff),
TOBN(0xa09bc0a2, 0x22eb51e5), TOBN(0xc0bb7244, 0xaa9cf09a),
TOBN(0x36a8077f, 0x80159f06), TOBN(0x8b5c989e, 0xdddc560e),
TOBN(0x19d2f316, 0x512e1f43), TOBN(0x02eac554, 0xad08ff62),
TOBN(0x012ab84c, 0x07d20b4e), TOBN(0x37d1e115, 0xd6d4e4e1),
TOBN(0xb6443e1a, 0xab7b19a8), TOBN(0xf08d067e, 0xdef8cd45),
TOBN(0x63adf3e9, 0x685e03da), TOBN(0xcf15a10e, 0x4792b916),
TOBN(0xf44bcce5, 0xb738a425), TOBN(0xebe131d5, 0x9636b2fd),
TOBN(0x94068841, 0x7850d605), TOBN(0x09684eaa, 0xb40d749d),
TOBN(0x8c3c669c, 0x72ba075b), TOBN(0x89f78b55, 0xba469015),
TOBN(0x5706aade, 0x3e9f8ba8), TOBN(0x6d8bd565, 0xb32d7ed7),
TOBN(0x25f4e63b, 0x805f08d6), TOBN(0x7f48200d, 0xc3bcc1b5),
TOBN(0x4e801968, 0xb025d847), TOBN(0x74afac04, 0x87cbe0a8),
TOBN(0x43ed2c2b, 0x7e63d690), TOBN(0xefb6bbf0, 0x0223cdb8),
TOBN(0x4fec3cae, 0x2884d3fe), TOBN(0x065ecce6, 0xd75e25a4),
TOBN(0x6c2294ce, 0x69f79071), TOBN(0x0d9a8e5f, 0x044b8666),
TOBN(0x5009f238, 0x17b69d8f), TOBN(0x3c29f8fe, 0xc5dfdaf7),
TOBN(0x9067528f, 0xebae68c4), TOBN(0x5b385632, 0x30c5ba21),
TOBN(0x540df119, 0x1fdd1aec), TOBN(0xcf37825b, 0xcfba4c78),
TOBN(0x77eff980, 0xbeb11454), TOBN(0x40a1a991, 0x60c1b066),
TOBN(0xe8018980, 0xf889a1c7), TOBN(0xb9c52ae9, 0x76c24be0),
TOBN(0x05fbbcce, 0x45650ef4), TOBN(0xae000f10, 0x8aa29ac7),
TOBN(0x884b7172, 0x4f04c470), TOBN(0x7cd4fde2, 0x19bb5c25),
TOBN(0x6477b22a, 0xe8840869), TOBN(0xa8868859, 0x5fbd0686),
TOBN(0xf23cc02e, 0x1116dfba), TOBN(0x76cd563f, 0xd87d7776),
TOBN(0xe2a37598, 0xa9d82abf), TOBN(0x5f188ccb, 0xe6c170f5),
TOBN(0x81682200, 0x5066b087), TOBN(0xda22c212, 0xc7155ada),
TOBN(0x151e5d3a, 0xfbddb479), TOBN(0x4b606b84, 0x6d715b99),
TOBN(0x4a73b54b, 0xf997cb2e), TOBN(0x9a1bfe43, 0x3ecd8b66),
TOBN(0x1c312809, 0x2a67d48a), TOBN(0xcd6a671e, 0x031fa9e2),
TOBN(0xbec3312a, 0x0e43a34a), TOBN(0x1d935639, 0x55ef47d3),
TOBN(0x5ea02489, 0x8fea73ea), TOBN(0x8247b364, 0xa035afb2),
TOBN(0xb58300a6, 0x5265b54c), TOBN(0x3286662f, 0x722c7148),
TOBN(0xb77fd76b, 0xb4ec4c20), TOBN(0xf0a12fa7, 0x0f3fe3fd),
TOBN(0xf845bbf5, 0x41d8c7e8), TOBN(0xe4d969ca, 0x5ec10aa8),
TOBN(0x4c0053b7, 0x43e232a3), TOBN(0xdc7a3fac, 0x37f8a45a),
TOBN(0x3c4261c5, 0x20d81c8f), TOBN(0xfd4b3453, 0xb00eab00),
TOBN(0x76d48f86, 0xd36e3062), TOBN(0x626c5277, 0xa143ff02),
TOBN(0x538174de, 0xaf76f42e), TOBN(0x2267aa86, 0x6407ceac),
TOBN(0xfad76351, 0x72e572d5), TOBN(0xab861af7, 0xba7330eb),
TOBN(0xa0a1c8c7, 0x418d8657), TOBN(0x988821cb, 0x20289a52),
TOBN(0x79732522, 0xcccc18ad), TOBN(0xaadf3f8d, 0xf1a6e027),
TOBN(0xf7382c93, 0x17c2354d), TOBN(0x5ce1680c, 0xd818b689),
TOBN(0x359ebbfc, 0xd9ecbee9), TOBN(0x4330689c, 0x1cae62ac),
TOBN(0xb55ce5b4, 0xc51ac38a), TOBN(0x7921dfea, 0xfe238ee8),
TOBN(0x3972bef8, 0x271d1ca5), TOBN(0x3e423bc7, 0xe8aabd18),
TOBN(0x57b09f3f, 0x44a3e5e3), TOBN(0x5da886ae, 0x7b444d66),
TOBN(0x68206634, 0xa9964375), TOBN(0x356a2fa3, 0x699cd0ff),
TOBN(0xaf0faa24, 0xdba515e9), TOBN(0x536e1f5c, 0xb321d79a),
TOBN(0xd3b9913a, 0x5c04e4ea), TOBN(0xd549dcfe, 0xd6f11513),
TOBN(0xee227bf5, 0x79fd1d94), TOBN(0x9f35afee, 0xb43f2c67),
TOBN(0xd2638d24, 0xf1314f53), TOBN(0x62baf948, 0xcabcd822),
TOBN(0x5542de29, 0x4ef48db0), TOBN(0xb3eb6a04, 0xfc5f6bb2),
TOBN(0x23c110ae, 0x1208e16a), TOBN(0x1a4d15b5, 0xf8363e24),
TOBN(0x30716844, 0x164be00b), TOBN(0xa8e24824, 0xf6f4690d),
TOBN(0x548773a2, 0x90b170cf), TOBN(0xa1bef331, 0x42f191f4),
TOBN(0x70f418d0, 0x9247aa97), TOBN(0xea06028e, 0x48be9147),
TOBN(0xe13122f3, 0xdbfb894e), TOBN(0xbe9b79f6, 0xce274b18),
TOBN(0x85a49de5, 0xca58aadf), TOBN(0x24957758, 0x11487351),
TOBN(0x111def61, 0xbb939099), TOBN(0x1d6a974a, 0x26d13694),
TOBN(0x4474b4ce, 0xd3fc253b), TOBN(0x3a1485e6, 0x4c5db15e),
TOBN(0xe79667b4, 0x147c15b4), TOBN(0xe34f553b, 0x7bc61301),
TOBN(0x032b80f8, 0x17094381), TOBN(0x55d8bafd, 0x723eaa21),
TOBN(0x5a987995, 0xf1c0e74e), TOBN(0x5a9b292e, 0xebba289c),
TOBN(0x413cd4b2, 0xeb4c8251), TOBN(0x98b5d243, 0xd162db0a),
TOBN(0xbb47bf66, 0x68342520), TOBN(0x08d68949, 0xbaa862d1),
TOBN(0x11f349c7, 0xe906abcd), TOBN(0x454ce985, 0xed7bf00e),
TOBN(0xacab5c9e, 0xb55b803b), TOBN(0xb03468ea, 0x31e3c16d),
TOBN(0x5c24213d, 0xd273bf12), TOBN(0x211538eb, 0x71587887),
TOBN(0x198e4a2f, 0x731dea2d), TOBN(0xd5856cf2, 0x74ed7b2a),
TOBN(0x86a632eb, 0x13a664fe), TOBN(0x932cd909, 0xbda41291),
TOBN(0x850e95d4, 0xc0c4ddc0), TOBN(0xc0f422f8, 0x347fc2c9),
TOBN(0xe68cbec4, 0x86076bcb), TOBN(0xf9e7c0c0, 0xcd6cd286),
TOBN(0x65994ddb, 0x0f5f27ca), TOBN(0xe85461fb, 0xa80d59ff),
TOBN(0xff05481a, 0x66601023), TOBN(0xc665427a, 0xfc9ebbfb),
TOBN(0xb0571a69, 0x7587fd52), TOBN(0x935289f8, 0x8d49efce),
TOBN(0x61becc60, 0xea420688), TOBN(0xb22639d9, 0x13a786af),
TOBN(0x1a8e6220, 0x361ecf90), TOBN(0x001f23e0, 0x25506463),
TOBN(0xe4ae9b5d, 0x0a5c2b79), TOBN(0xebc9cdad, 0xd8149db5),
TOBN(0xb33164a1, 0x934aa728), TOBN(0x750eb00e, 0xae9b60f3),
TOBN(0x5a91615b, 0x9b9cfbfd), TOBN(0x97015cbf, 0xef45f7f6),
TOBN(0xb462c4a5, 0xbf5151df), TOBN(0x21adcc41, 0xb07118f2),
TOBN(0xd60c545b, 0x043fa42c), TOBN(0xfc21aa54, 0xe96be1ab),
TOBN(0xe84bc32f, 0x4e51ea80), TOBN(0x3dae45f0, 0x259b5d8d),
TOBN(0xbb73c7eb, 0xc38f1b5e), TOBN(0xe405a74a, 0xe8ae617d),
TOBN(0xbb1ae9c6, 0x9f1c56bd), TOBN(0x8c176b98, 0x49f196a4),
TOBN(0xc448f311, 0x6875092b), TOBN(0xb5afe3de, 0x9f976033),
TOBN(0xa8dafd49, 0x145813e5), TOBN(0x687fc4d9, 0xe2b34226),
TOBN(0xf2dfc92d, 0x4c7ff57f), TOBN(0x004e3fc1, 0x401f1b46),
TOBN(0x5afddab6, 0x1430c9ab), TOBN(0x0bdd41d3, 0x2238e997),
TOBN(0xf0947430, 0x418042ae), TOBN(0x71f9adda, 0xcdddc4cb),
TOBN(0x7090c016, 0xc52dd907), TOBN(0xd9bdf44d, 0x29e2047f),
TOBN(0xe6f1fe80, 0x1b1011a6), TOBN(0xb63accbc, 0xd9acdc78),
TOBN(0xcfc7e235, 0x1272a95b), TOBN(0x0c667717, 0xa6276ac8),
TOBN(0x3c0d3709, 0xe2d7eef7), TOBN(0x5add2b06, 0x9a685b3e),
TOBN(0x363ad32d, 0x14ea5d65), TOBN(0xf8e01f06, 0x8d7dd506),
TOBN(0xc9ea2213, 0x75b4aac6), TOBN(0xed2a2bf9, 0x0d353466),
TOBN(0x439d79b5, 0xe9d3a7c3), TOBN(0x8e0ee5a6, 0x81b7f34b),
TOBN(0xcf3dacf5, 0x1dc4ba75), TOBN(0x1d3d1773, 0xeb3310c7),
TOBN(0xa8e67112, 0x7747ae83), TOBN(0x31f43160, 0x197d6b40),
TOBN(0x0521ccee, 0xcd961400), TOBN(0x67246f11, 0xf6535768),
TOBN(0x702fcc5a, 0xef0c3133), TOBN(0x247cc45d, 0x7e16693b),
TOBN(0xfd484e49, 0xc729b749), TOBN(0x522cef7d, 0xb218320f),
TOBN(0xe56ef405, 0x59ab93b3), TOBN(0x225fba11, 0x9f181071),
TOBN(0x33bd6595, 0x15330ed0), TOBN(0xc4be69d5, 0x1ddb32f7),
TOBN(0x264c7668, 0x0448087c), TOBN(0xac30903f, 0x71432dae),
TOBN(0x3851b266, 0x00f9bf47), TOBN(0x400ed311, 0x6cdd6d03),
TOBN(0x045e79fe, 0xf8fd2424), TOBN(0xfdfd974a, 0xfa6da98b),
TOBN(0x45c9f641, 0x0c1e673a), TOBN(0x76f2e733, 0x5b2c5168),
TOBN(0x1adaebb5, 0x2a601753), TOBN(0xb286514c, 0xc57c2d49),
TOBN(0xd8769670, 0x1e0bfd24), TOBN(0x950c547e, 0x04478922),
TOBN(0xd1d41969, 0xe5d32bfe), TOBN(0x30bc1472, 0x750d6c3e),
TOBN(0x8f3679fe, 0xe0e27f3a), TOBN(0x8f64a7dc, 0xa4a6ee0c),
TOBN(0x2fe59937, 0x633dfb1f), TOBN(0xea82c395, 0x977f2547),
TOBN(0xcbdfdf1a, 0x661ea646), TOBN(0xc7ccc591, 0xb9085451),
TOBN(0x82177962, 0x81761e13), TOBN(0xda57596f, 0x9196885c),
TOBN(0xbc17e849, 0x28ffbd70), TOBN(0x1e6e0a41, 0x2671d36f),
TOBN(0x61ae872c, 0x4152fcf5), TOBN(0x441c87b0, 0x9e77e754),
TOBN(0xd0799dd5, 0xa34dff09), TOBN(0x766b4e44, 0x88a6b171),
TOBN(0xdc06a512, 0x11f1c792), TOBN(0xea02ae93, 0x4be35c3e),
TOBN(0xe5ca4d6d, 0xe90c469e), TOBN(0x4df4368e, 0x56e4ff5c),
TOBN(0x7817acab, 0x4baef62e), TOBN(0x9f5a2202, 0xa85b91e8),
TOBN(0x9666ebe6, 0x6ce57610), TOBN(0x32ad31f3, 0xf73bfe03),
TOBN(0x628330a4, 0x25bcf4d6), TOBN(0xea950593, 0x515056e6),
TOBN(0x59811c89, 0xe1332156), TOBN(0xc89cf1fe, 0x8c11b2d7),
TOBN(0x75b63913, 0x04e60cc0), TOBN(0xce811e8d, 0x4625d375),
TOBN(0x030e43fc, 0x2d26e562), TOBN(0xfbb30b4b, 0x608d36a0),
TOBN(0x634ff82c, 0x48528118), TOBN(0x7c6fe085, 0xcd285911),
TOBN(0x7f2830c0, 0x99358f28), TOBN(0x2e60a95e, 0x665e6c09),
TOBN(0x08407d3d, 0x9b785dbf), TOBN(0x530889ab, 0xa759bce7),
TOBN(0xf228e0e6, 0x52f61239), TOBN(0x2b6d1461, 0x6879be3c),
TOBN(0xe6902c04, 0x51a7bbf7), TOBN(0x30ad99f0, 0x76f24a64),
TOBN(0x66d9317a, 0x98bc6da0), TOBN(0xf4f877f3, 0xcb596ac0),
TOBN(0xb05ff62d, 0x4c44f119), TOBN(0x4555f536, 0xe9b77416),
TOBN(0xc7c0d059, 0x8caed63b), TOBN(0x0cd2b7ce, 0xc358b2a9),
TOBN(0x3f33287b, 0x46945fa3), TOBN(0xf8785b20, 0xd67c8791),
TOBN(0xc54a7a61, 0x9637bd08), TOBN(0x54d4598c, 0x18be79d7),
TOBN(0x889e5acb, 0xc46d7ce1), TOBN(0x9a515bb7, 0x8b085877),
TOBN(0xfac1a03d, 0x0b7a5050), TOBN(0x7d3e738a, 0xf2926035),
TOBN(0x861cc2ce, 0x2a6cb0eb), TOBN(0x6f2e2955, 0x8f7adc79),
TOBN(0x61c4d451, 0x33016376), TOBN(0xd9fd2c80, 0x5ad59090),
TOBN(0xe5a83738, 0xb2b836a1), TOBN(0x855b41a0, 0x7c0d6622),
TOBN(0x186fe317, 0x7cc19af1), TOBN(0x6465c1ff, 0xfdd99acb),
TOBN(0x46e5c23f, 0x6974b99e), TOBN(0x75a7cf8b, 0xa2717cbe),
TOBN(0x4d2ebc3f, 0x062be658), TOBN(0x094b4447, 0x5f209c98),
TOBN(0x4af285ed, 0xb940cb5a), TOBN(0x6706d792, 0x7cc82f10),
TOBN(0xc8c8776c, 0x030526fa), TOBN(0xfa8e6f76, 0xa0da9140),
TOBN(0x77ea9d34, 0x591ee4f0), TOBN(0x5f46e337, 0x40274166),
TOBN(0x1bdf98bb, 0xea671457), TOBN(0xd7c08b46, 0x862a1fe2),
TOBN(0x46cc303c, 0x1c08ad63), TOBN(0x99543440, 0x4c845e7b),
TOBN(0x1b8fbdb5, 0x48f36bf7), TOBN(0x5b82c392, 0x8c8273a7),
TOBN(0x08f712c4, 0x928435d5), TOBN(0x071cf0f1, 0x79330380),
TOBN(0xc74c2d24, 0xa8da054a), TOBN(0xcb0e7201, 0x43c46b5c),
TOBN(0x0ad7337a, 0xc0b7eff3), TOBN(0x8552225e, 0xc5e48b3c),
TOBN(0xe6f78b0c, 0x73f13a5f), TOBN(0x5e70062e, 0x82349cbe),
TOBN(0x6b8d5048, 0xe7073969), TOBN(0x392d2a29, 0xc33cb3d2),
TOBN(0xee4f727c, 0x4ecaa20f), TOBN(0xa068c99e, 0x2ccde707),
TOBN(0xfcd5651f, 0xb87a2913), TOBN(0xea3e3c15, 0x3cc252f0),
TOBN(0x777d92df, 0x3b6cd3e4), TOBN(0x7a414143, 0xc5a732e7),
TOBN(0xa895951a, 0xa71ff493), TOBN(0xfe980c92, 0xbbd37cf6),
TOBN(0x45bd5e64, 0xdecfeeff), TOBN(0x910dc2a9, 0xa44c43e9),
TOBN(0xcb403f26, 0xcca9f54d), TOBN(0x928bbdfb, 0x9303f6db),
TOBN(0x3c37951e, 0xa9eee67c), TOBN(0x3bd61a52, 0xf79961c3),
TOBN(0x09a238e6, 0x395c9a79), TOBN(0x6940ca2d, 0x61eb352d),
TOBN(0x7d1e5c5e, 0xc1875631), TOBN(0x1e19742c, 0x1e1b20d1),
TOBN(0x4633d908, 0x23fc2e6e), TOBN(0xa76e29a9, 0x08959149),
TOBN(0x61069d9c, 0x84ed7da5), TOBN(0x0baa11cf, 0x5dbcad51),
TOBN(0xd01eec64, 0x961849da), TOBN(0x93b75f1f, 0xaf3d8c28),
TOBN(0x57bc4f9f, 0x1ca2ee44), TOBN(0x5a26322d, 0x00e00558),
TOBN(0x1888d658, 0x61a023ef), TOBN(0x1d72aab4, 0xb9e5246e),
TOBN(0xa9a26348, 0xe5563ec0), TOBN(0xa0971963, 0xc3439a43),
TOBN(0x567dd54b, 0xadb9b5b7), TOBN(0x73fac1a1, 0xc45a524b),
TOBN(0x8fe97ef7, 0xfe38e608), TOBN(0x608748d2, 0x3f384f48),
TOBN(0xb0571794, 0xc486094f), TOBN(0x869254a3, 0x8bf3a8d6),
TOBN(0x148a8dd1, 0x310b0e25), TOBN(0x99ab9f3f, 0x9aa3f7d8),
TOBN(0x0927c68a, 0x6706c02e), TOBN(0x22b5e76c, 0x69790e6c),
TOBN(0x6c325260, 0x6c71376c), TOBN(0x53a57690, 0x09ef6657),
TOBN(0x8d63f852, 0xedffcf3a), TOBN(0xb4d2ed04, 0x3c0a6f55),
TOBN(0xdb3aa8de, 0x12519b9e), TOBN(0x5d38e9c4, 0x1e0a569a),
TOBN(0x871528bf, 0x303747e2), TOBN(0xa208e77c, 0xf5b5c18d),
TOBN(0x9d129c88, 0xca6bf923), TOBN(0xbcbf197f, 0xbf02839f),
TOBN(0x9b9bf030, 0x27323194), TOBN(0x3b055a8b, 0x339ca59d),
TOBN(0xb46b2312, 0x0f669520), TOBN(0x19789f1f, 0x497e5f24),
TOBN(0x9c499468, 0xaaf01801), TOBN(0x72ee1190, 0x8b69d59c),
TOBN(0x8bd39595, 0xacf4c079), TOBN(0x3ee11ece, 0x8e0cd048),
TOBN(0xebde86ec, 0x1ed66f18), TOBN(0x225d906b, 0xd61fce43),
TOBN(0x5cab07d6, 0xe8bed74d), TOBN(0x16e4617f, 0x27855ab7),
TOBN(0x6568aadd, 0xb2fbc3dd), TOBN(0xedb5484f, 0x8aeddf5b),
TOBN(0x878f20e8, 0x6dcf2fad), TOBN(0x3516497c, 0x615f5699),}
,
{TOBN(0xef0a3fec, 0xfa181e69), TOBN(0x9ea02f81, 0x30d69a98),
TOBN(0xb2e9cf8e, 0x66eab95d), TOBN(0x520f2beb, 0x24720021),
TOBN(0x621c540a, 0x1df84361), TOBN(0x12037721, 0x71fa6d5d),
TOBN(0x6e3c7b51, 0x0ff5f6ff), TOBN(0x817a069b, 0xabb2bef3),
TOBN(0x83572fb6, 0xb294cda6), TOBN(0x6ce9bf75, 0xb9039f34),
TOBN(0x20e012f0, 0x095cbb21), TOBN(0xa0aecc1b, 0xd063f0da),
TOBN(0x57c21c3a, 0xf02909e5), TOBN(0xc7d59ecf, 0x48ce9cdc),
TOBN(0x2732b844, 0x8ae336f8), TOBN(0x056e3723, 0x3f4f85f4),
TOBN(0x8a10b531, 0x89e800ca), TOBN(0x50fe0c17, 0x145208fd),
TOBN(0x9e43c0d3, 0xb714ba37), TOBN(0x427d200e, 0x34189acc),
TOBN(0x05dee24f, 0xe616e2c0), TOBN(0x9c25f4c8, 0xee1854c1),
TOBN(0x4d3222a5, 0x8f342a73), TOBN(0x0807804f, 0xa027c952),
TOBN(0xc222653a, 0x4f0d56f3), TOBN(0x961e4047, 0xca28b805),
TOBN(0x2c03f8b0, 0x4a73434b), TOBN(0x4c966787, 0xab712a19),
TOBN(0xcc196c42, 0x864fee42), TOBN(0xc1be93da, 0x5b0ece5c),
TOBN(0xa87d9f22, 0xc131c159), TOBN(0x2bb6d593, 0xdce45655),
TOBN(0x22c49ec9, 0xb809b7ce), TOBN(0x8a41486b, 0xe2c72c2c),
TOBN(0x813b9420, 0xfea0bf36), TOBN(0xb3d36ee9, 0xa66dac69),
TOBN(0x6fddc08a, 0x328cc987), TOBN(0x0a3bcd2c, 0x3a326461),
TOBN(0x7103c49d, 0xd810dbba), TOBN(0xf9d81a28, 0x4b78a4c4),
TOBN(0x3de865ad, 0xe4d55941), TOBN(0xdedafa5e, 0x30384087),
TOBN(0x6f414abb, 0x4ef18b9b), TOBN(0x9ee9ea42, 0xfaee5268),
TOBN(0x260faa16, 0x37a55a4a), TOBN(0xeb19a514, 0x015f93b9),
TOBN(0x51d7ebd2, 0x9e9c3598), TOBN(0x523fc56d, 0x1932178e),
TOBN(0x501d070c, 0xb98fe684), TOBN(0xd60fbe9a, 0x124a1458),
TOBN(0xa45761c8, 0x92bc6b3f), TOBN(0xf5384858, 0xfe6f27cb),
TOBN(0x4b0271f7, 0xb59e763b), TOBN(0x3d4606a9, 0x5b5a8e5e),
TOBN(0x1eda5d9b, 0x05a48292), TOBN(0xda7731d0, 0xe6fec446),
TOBN(0xa3e33693, 0x90d45871), TOBN(0xe9764040, 0x06166d8d),
TOBN(0xb5c33682, 0x89a90403), TOBN(0x4bd17983, 0x72f1d637),
TOBN(0xa616679e, 0xd5d2c53a), TOBN(0x5ec4bcd8, 0xfdcf3b87),
TOBN(0xae6d7613, 0xb66a694e), TOBN(0x7460fc76, 0xe3fc27e5),
TOBN(0x70469b82, 0x95caabee), TOBN(0xde024ca5, 0x889501e3),
TOBN(0x6bdadc06, 0x076ed265), TOBN(0x0cb1236b, 0x5a0ef8b2),
TOBN(0x4065ddbf, 0x0972ebf9), TOBN(0xf1dd3875, 0x22aca432),
TOBN(0xa88b97cf, 0x744aff76), TOBN(0xd1359afd, 0xfe8e3d24),
TOBN(0x52a3ba2b, 0x91502cf3), TOBN(0x2c3832a8, 0x084db75d),
TOBN(0x04a12ddd, 0xde30b1c9), TOBN(0x7802eabc, 0xe31fd60c),
TOBN(0x33707327, 0xa37fddab), TOBN(0x65d6f2ab, 0xfaafa973),
TOBN(0x3525c5b8, 0x11e6f91a), TOBN(0x76aeb0c9, 0x5f46530b),
TOBN(0xe8815ff6, 0x2f93a675), TOBN(0xa6ec9684, 0x05f48679),
TOBN(0x6dcbb556, 0x358ae884), TOBN(0x0af61472, 0xe19e3873),
TOBN(0x72334372, 0xa5f696be), TOBN(0xc65e57ea, 0x6f22fb70),
TOBN(0x268da30c, 0x946cea90), TOBN(0x136a8a87, 0x65681b2a),
TOBN(0xad5e81dc, 0x0f9f44d4), TOBN(0xf09a6960, 0x2c46585a),
TOBN(0xd1649164, 0xc447d1b1), TOBN(0x3b4b36c8, 0x879dc8b1),
TOBN(0x20d4177b, 0x3b6b234c), TOBN(0x096a2505, 0x1730d9d0),
TOBN(0x0611b9b8, 0xef80531d), TOBN(0xba904b3b, 0x64bb495d),
TOBN(0x1192d9d4, 0x93a3147a), TOBN(0x9f30a5dc, 0x9a565545),
TOBN(0x90b1f9cb, 0x6ef07212), TOBN(0x29958546, 0x0d87fc13),
TOBN(0xd3323eff, 0xc17db9ba), TOBN(0xcb18548c, 0xcb1644a8),
TOBN(0x18a306d4, 0x4f49ffbc), TOBN(0x28d658f1, 0x4c2e8684),
TOBN(0x44ba60cd, 0xa99f8c71), TOBN(0x67b7abdb, 0x4bf742ff),
TOBN(0x66310f9c, 0x914b3f99), TOBN(0xae430a32, 0xf412c161),
TOBN(0x1e6776d3, 0x88ace52f), TOBN(0x4bc0fa24, 0x52d7067d),
TOBN(0x03c286aa, 0x8f07cd1b), TOBN(0x4cb8f38c, 0xa985b2c1),
TOBN(0x83ccbe80, 0x8c3bff36), TOBN(0x005a0bd2, 0x5263e575),
TOBN(0x460d7dda, 0x259bdcd1), TOBN(0x4a1c5642, 0xfa5cab6b),
TOBN(0x2b7bdbb9, 0x9fe4fc88), TOBN(0x09418e28, 0xcc97bbb5),
TOBN(0xd8274fb4, 0xa12321ae), TOBN(0xb137007d, 0x5c87b64e),
TOBN(0x80531fe1, 0xc63c4962), TOBN(0x50541e89, 0x981fdb25),
TOBN(0xdc1291a1, 0xfd4c2b6b), TOBN(0xc0693a17, 0xa6df4fca),
TOBN(0xb2c4604e, 0x0117f203), TOBN(0x245f1963, 0x0a99b8d0),
TOBN(0xaedc20aa, 0xc6212c44), TOBN(0xb1ed4e56, 0x520f52a8),
TOBN(0xfe48f575, 0xf8547be3), TOBN(0x0a7033cd, 0xa9e45f98),
TOBN(0x4b45d3a9, 0x18c50100), TOBN(0xb2a6cd6a, 0xa61d41da),
TOBN(0x60bbb4f5, 0x57933c6b), TOBN(0xa7538ebd, 0x2b0d7ffc),
TOBN(0x9ea3ab8d, 0x8cd626b6), TOBN(0x8273a484, 0x3601625a),
TOBN(0x88859845, 0x0168e508), TOBN(0x8cbc9bb2, 0x99a94abd),
TOBN(0x713ac792, 0xfab0a671), TOBN(0xa3995b19, 0x6c9ebffc),
TOBN(0xe711668e, 0x1239e152), TOBN(0x56892558, 0xbbb8dff4),
TOBN(0x8bfc7dab, 0xdbf17963), TOBN(0x5b59fe5a, 0xb3de1253),
TOBN(0x7e3320eb, 0x34a9f7ae), TOBN(0xe5e8cf72, 0xd751efe4),
TOBN(0x7ea003bc, 0xd9be2f37), TOBN(0xc0f551a0, 0xb6c08ef7),
TOBN(0x56606268, 0x038f6725), TOBN(0x1dd38e35, 0x6d92d3b6),
TOBN(0x07dfce7c, 0xc3cbd686), TOBN(0x4e549e04, 0x651c5da8),
TOBN(0x4058f93b, 0x08b19340), TOBN(0xc2fae6f4, 0xcac6d89d),
TOBN(0x4bad8a8c, 0x8f159cc7), TOBN(0x0ddba4b3, 0xcb0b601c),
TOBN(0xda4fc7b5, 0x1dd95f8c), TOBN(0x1d163cd7, 0xcea5c255),
TOBN(0x30707d06, 0x274a8c4c), TOBN(0x79d9e008, 0x2802e9ce),
TOBN(0x02a29ebf, 0xe6ddd505), TOBN(0x37064e74, 0xb50bed1a),
TOBN(0x3f6bae65, 0xa7327d57), TOBN(0x3846f5f1, 0xf83920bc),
TOBN(0x87c37491, 0x60df1b9b), TOBN(0x4cfb2895, 0x2d1da29f),
TOBN(0x10a478ca, 0x4ed1743c), TOBN(0x390c6030, 0x3edd47c6),
TOBN(0x8f3e5312, 0x8c0a78de), TOBN(0xccd02bda, 0x1e85df70),
TOBN(0xd6c75c03, 0xa61b6582), TOBN(0x0762921c, 0xfc0eebd1),
TOBN(0xd34d0823, 0xd85010c0), TOBN(0xd73aaacb, 0x0044cf1f),
TOBN(0xfb4159bb, 0xa3b5e78a), TOBN(0x2287c7f7, 0xe5826f3f),
TOBN(0x4aeaf742, 0x580b1a01), TOBN(0xf080415d, 0x60423b79),
TOBN(0xe12622cd, 0xa7dea144), TOBN(0x49ea4996, 0x59d62472),
TOBN(0xb42991ef, 0x571f3913), TOBN(0x0610f214, 0xf5b25a8a),
TOBN(0x47adc585, 0x30b79e8f), TOBN(0xf90e3df6, 0x07a065a2),
TOBN(0x5d0a5deb, 0x43e2e034), TOBN(0x53fb5a34, 0x444024aa),
TOBN(0xa8628c68, 0x6b0c9f7f), TOBN(0x9c69c29c, 0xac563656),
TOBN(0x5a231feb, 0xbace47b6), TOBN(0xbdce0289, 0x9ea5a2ec),
TOBN(0x05da1fac, 0x9463853e), TOBN(0x96812c52, 0x509e78aa),
TOBN(0xd3fb5771, 0x57151692), TOBN(0xeb2721f8, 0xd98e1c44),
TOBN(0xc0506087, 0x32399be1), TOBN(0xda5a5511, 0xd979d8b8),
TOBN(0x737ed55d, 0xc6f56780), TOBN(0xe20d3004, 0x0dc7a7f4),
TOBN(0x02ce7301, 0xf5941a03), TOBN(0x91ef5215, 0xed30f83a),
TOBN(0x28727fc1, 0x4092d85f), TOBN(0x72d223c6, 0x5c49e41a),
TOBN(0xa7cf30a2, 0xba6a4d81), TOBN(0x7c086209, 0xb030d87d),
TOBN(0x04844c7d, 0xfc588b09), TOBN(0x728cd499, 0x5874bbb0),
TOBN(0xcc1281ee, 0xe84c0495), TOBN(0x0769b5ba, 0xec31958f),
TOBN(0x665c228b, 0xf99c2471), TOBN(0xf2d8a11b, 0x191eb110),
TOBN(0x4594f494, 0xd36d7024), TOBN(0x482ded8b, 0xcdcb25a1),
TOBN(0xc958a9d8, 0xdadd4885), TOBN(0x7004477e, 0xf1d2b547),
TOBN(0x0a45f6ef, 0x2a0af550), TOBN(0x4fc739d6, 0x2f8d6351),
TOBN(0x75cdaf27, 0x786f08a9), TOBN(0x8700bb26, 0x42c2737f),
TOBN(0x855a7141, 0x1c4e2670), TOBN(0x810188c1, 0x15076fef),
TOBN(0xc251d0c9, 0xabcd3297), TOBN(0xae4c8967, 0xf48108eb),
TOBN(0xbd146de7, 0x18ceed30), TOBN(0xf9d4f07a, 0xc986bced),
TOBN(0x5ad98ed5, 0x83fa1e08), TOBN(0x7780d33e, 0xbeabd1fb),
TOBN(0xe330513c, 0x903b1196), TOBN(0xba11de9e, 0xa47bc8c4),
TOBN(0x684334da, 0x02c2d064), TOBN(0x7ecf360d, 0xa48de23b),
TOBN(0x57a1b474, 0x0a9089d8), TOBN(0xf28fa439, 0xff36734c),
TOBN(0xf2a482cb, 0xea4570b3), TOBN(0xee65d68b, 0xa5ebcee9),
TOBN(0x988d0036, 0xb9694cd5), TOBN(0x53edd0e9, 0x37885d32),
TOBN(0xe37e3307, 0xbeb9bc6d), TOBN(0xe9abb907, 0x9f5c6768),
TOBN(0x4396ccd5, 0x51f2160f), TOBN(0x2500888c, 0x47336da6),
TOBN(0x383f9ed9, 0x926fce43), TOBN(0x809dd1c7, 0x04da2930),
TOBN(0x30f6f596, 0x8a4cb227), TOBN(0x0d700c7f, 0x73a56b38),
TOBN(0x1825ea33, 0xab64a065), TOBN(0xaab9b735, 0x1338df80),
TOBN(0x1516100d, 0x9b63f57f), TOBN(0x2574395a, 0x27a6a634),
TOBN(0xb5560fb6, 0x700a1acd), TOBN(0xe823fd73, 0xfd999681),
TOBN(0xda915d1f, 0x6cb4e1ba), TOBN(0x0d030118, 0x6ebe00a3),
TOBN(0x744fb0c9, 0x89fca8cd), TOBN(0x970d01db, 0xf9da0e0b),
TOBN(0x0ad8c564, 0x7931d76f), TOBN(0xb15737bf, 0xf659b96a),
TOBN(0xdc9933e8, 0xa8b484e7), TOBN(0xb2fdbdf9, 0x7a26dec7),
TOBN(0x2349e9a4, 0x9f1f0136), TOBN(0x7860368e, 0x70fddddb),
TOBN(0xd93d2c1c, 0xf9ad3e18), TOBN(0x6d6c5f17, 0x689f4e79),
TOBN(0x7a544d91, 0xb24ff1b6), TOBN(0x3e12a5eb, 0xfe16cd8c),
TOBN(0x543574e9, 0xa56b872f), TOBN(0xa1ad550c, 0xfcf68ea2),
TOBN(0x689e37d2, 0x3f560ef7), TOBN(0x8c54b9ca, 0xc9d47a8b),
TOBN(0x46d40a4a, 0x088ac342), TOBN(0xec450c7c, 0x1576c6d0),
TOBN(0xb589e31c, 0x1f9689e9), TOBN(0xdacf2602, 0xb8781718),
TOBN(0xa89237c6, 0xc8cb6b42), TOBN(0x1326fc93, 0xb96ef381),
TOBN(0x55d56c6d, 0xb5f07825), TOBN(0xacba2eea, 0x7449e22d),
TOBN(0x74e0887a, 0x633c3000), TOBN(0xcb6cd172, 0xd7cbcf71),
TOBN(0x309e81de, 0xc36cf1be), TOBN(0x07a18a6d, 0x60ae399b),
TOBN(0xb36c2679, 0x9edce57e), TOBN(0x52b892f4, 0xdf001d41),
TOBN(0xd884ae5d, 0x16a1f2c6), TOBN(0x9b329424, 0xefcc370a),
TOBN(0x3120daf2, 0xbd2e21df), TOBN(0x55298d2d, 0x02470a99),
TOBN(0x0b78af6c, 0xa05db32e), TOBN(0x5c76a331, 0x601f5636),
TOBN(0xaae861ff, 0xf8a4f29c), TOBN(0x70dc9240, 0xd68f8d49),
TOBN(0x960e649f, 0x81b1321c), TOBN(0x3d2c801b, 0x8792e4ce),
TOBN(0xf479f772, 0x42521876), TOBN(0x0bed93bc, 0x416c79b1),
TOBN(0xa67fbc05, 0x263e5bc9), TOBN(0x01e8e630, 0x521db049),
TOBN(0x76f26738, 0xc6f3431e), TOBN(0xe609cb02, 0xe3267541),
TOBN(0xb10cff2d, 0x818c877c), TOBN(0x1f0e75ce, 0x786a13cb),
TOBN(0xf4fdca64, 0x1158544d), TOBN(0x5d777e89, 0x6cb71ed0),
TOBN(0x3c233737, 0xa9aa4755), TOBN(0x7b453192, 0xe527ab40),
TOBN(0xdb59f688, 0x39f05ffe), TOBN(0x8f4f4be0, 0x6d82574e),
TOBN(0xcce3450c, 0xee292d1b), TOBN(0xaa448a12, 0x61ccd086),
TOBN(0xabce91b3, 0xf7914967), TOBN(0x4537f09b, 0x1908a5ed),
TOBN(0xa812421e, 0xf51042e7), TOBN(0xfaf5cebc, 0xec0b3a34),
TOBN(0x730ffd87, 0x4ca6b39a), TOBN(0x70fb72ed, 0x02efd342),
TOBN(0xeb4735f9, 0xd75c8edb), TOBN(0xc11f2157, 0xc278aa51),
TOBN(0xc459f635, 0xbf3bfebf), TOBN(0x3a1ff0b4, 0x6bd9601f),
TOBN(0xc9d12823, 0xc420cb73), TOBN(0x3e9af3e2, 0x3c2915a3),
TOBN(0xe0c82c72, 0xb41c3440), TOBN(0x175239e5, 0xe3039a5f),
TOBN(0xe1084b8a, 0x558795a3), TOBN(0x328d0a1d, 0xd01e5c60),
TOBN(0x0a495f2e, 0xd3788a04), TOBN(0x25d8ff16, 0x66c11a9f),
TOBN(0xf5155f05, 0x9ed692d6), TOBN(0x954fa107, 0x4f425fe4),
TOBN(0xd16aabf2, 0xe98aaa99), TOBN(0x90cd8ba0, 0x96b0f88a),
TOBN(0x957f4782, 0xc154026a), TOBN(0x54ee0734, 0x52af56d2),
TOBN(0xbcf89e54, 0x45b4147a), TOBN(0x3d102f21, 0x9a52816c),
TOBN(0x6808517e, 0x39b62e77), TOBN(0x92e25421, 0x69169ad8),
TOBN(0xd721d871, 0xbb608558), TOBN(0x60e4ebae, 0xf6d4ff9b),
TOBN(0x0ba10819, 0x41f2763e), TOBN(0xca2e45be, 0x51ee3247),
TOBN(0x66d172ec, 0x2bfd7a5f), TOBN(0x528a8f2f, 0x74d0b12d),
TOBN(0xe17f1e38, 0xdabe70dc), TOBN(0x1d5d7316, 0x9f93983c),
TOBN(0x51b2184a, 0xdf423e31), TOBN(0xcb417291, 0xaedb1a10),
TOBN(0x2054ca93, 0x625bcab9), TOBN(0x54396860, 0xa98998f0),
TOBN(0x4e53f6c4, 0xa54ae57e), TOBN(0x0ffeb590, 0xee648e9d),
TOBN(0xfbbdaadc, 0x6afaf6bc), TOBN(0xf88ae796, 0xaa3bfb8a),
TOBN(0x209f1d44, 0xd2359ed9), TOBN(0xac68dd03, 0xf3544ce2),
TOBN(0xf378da47, 0xfd51e569), TOBN(0xe1abd860, 0x2cc80097),
TOBN(0x23ca18d9, 0x343b6e3a), TOBN(0x480797e8, 0xb40a1bae),
TOBN(0xd1f0c717, 0x533f3e67), TOBN(0x44896970, 0x06e6cdfc),
TOBN(0x8ca21055, 0x52a82e8d), TOBN(0xb2caf785, 0x78460cdc),
TOBN(0x4c1b7b62, 0xe9037178), TOBN(0xefc09d2c, 0xdb514b58),
TOBN(0x5f2df9ee, 0x9113be5c), TOBN(0x2fbda78f, 0xb3f9271c),
TOBN(0xe09a81af, 0x8f83fc54), TOBN(0x06b13866, 0x8afb5141),
TOBN(0x38f6480f, 0x43e3865d), TOBN(0x72dd77a8, 0x1ddf47d9),
TOBN(0xf2a8e971, 0x4c205ff7), TOBN(0x46d449d8, 0x9d088ad8),
TOBN(0x926619ea, 0x185d706f), TOBN(0xe47e02eb, 0xc7dd7f62),
TOBN(0xe7f120a7, 0x8cbc2031), TOBN(0xc18bef00, 0x998d4ac9),
TOBN(0x18f37a9c, 0x6bdf22da), TOBN(0xefbc432f, 0x90dc82df),
TOBN(0xc52cef8e, 0x5d703651), TOBN(0x82887ba0, 0xd99881a5),
TOBN(0x7cec9dda, 0xb920ec1d), TOBN(0xd0d7e8c3, 0xec3e8d3b),
TOBN(0x445bc395, 0x4ca88747), TOBN(0xedeaa2e0, 0x9fd53535),
TOBN(0x461b1d93, 0x6cc87475), TOBN(0xd92a52e2, 0x6d2383bd),
TOBN(0xfabccb59, 0xd7903546), TOBN(0x6111a761, 0x3d14b112),
TOBN(0x0ae584fe, 0xb3d5f612), TOBN(0x5ea69b8d, 0x60e828ec),
TOBN(0x6c078985, 0x54087030), TOBN(0x649cab04, 0xac4821fe),
TOBN(0x25ecedcf, 0x8bdce214), TOBN(0xb5622f72, 0x86af7361),
TOBN(0x0e1227aa, 0x7038b9e2), TOBN(0xd0efb273, 0xac20fa77),
TOBN(0x817ff88b, 0x79df975b), TOBN(0x856bf286, 0x1999503e),
TOBN(0xb4d5351f, 0x5038ec46), TOBN(0x740a52c5, 0xfc42af6e),
TOBN(0x2e38bb15, 0x2cbb1a3f), TOBN(0xc3eb99fe, 0x17a83429),
TOBN(0xca4fcbf1, 0xdd66bb74), TOBN(0x880784d6, 0xcde5e8fc),
TOBN(0xddc84c1c, 0xb4e7a0be), TOBN(0x8780510d, 0xbd15a72f),
TOBN(0x44bcf1af, 0x81ec30e1), TOBN(0x141e50a8, 0x0a61073e),
TOBN(0x0d955718, 0x47be87ae), TOBN(0x68a61417, 0xf76a4372),
TOBN(0xf57e7e87, 0xc607c3d3), TOBN(0x043afaf8, 0x5252f332),
TOBN(0xcc14e121, 0x1552a4d2), TOBN(0xb6dee692, 0xbb4d4ab4),
TOBN(0xb6ab74c8, 0xa03816a4), TOBN(0x84001ae4, 0x6f394a29),
TOBN(0x5bed8344, 0xd795fb45), TOBN(0x57326e7d, 0xb79f55a5),
TOBN(0xc9533ce0, 0x4accdffc), TOBN(0x53473caf, 0x3993fa04),
TOBN(0x7906eb93, 0xa13df4c8), TOBN(0xa73e51f6, 0x97cbe46f),
TOBN(0xd1ab3ae1, 0x0ae4ccf8), TOBN(0x25614508, 0x8a5b3dbc),
TOBN(0x61eff962, 0x11a71b27), TOBN(0xdf71412b, 0x6bb7fa39),
TOBN(0xb31ba6b8, 0x2bd7f3ef), TOBN(0xb0b9c415, 0x69180d29),
TOBN(0xeec14552, 0x014cdde5), TOBN(0x702c624b, 0x227b4bbb),
TOBN(0x2b15e8c2, 0xd3e988f3), TOBN(0xee3bcc6d, 0xa4f7fd04),
TOBN(0x9d00822a, 0x42ac6c85), TOBN(0x2db0cea6, 0x1df9f2b7),
TOBN(0xd7cad2ab, 0x42de1e58), TOBN(0x346ed526, 0x2d6fbb61),
TOBN(0xb3962995, 0x1a2faf09), TOBN(0x2fa8a580, 0x7c25612e),
TOBN(0x30ae04da, 0x7cf56490), TOBN(0x75662908, 0x0eea3961),
TOBN(0x3609f5c5, 0x3d080847), TOBN(0xcb081d39, 0x5241d4f6),
TOBN(0xb4fb3810, 0x77961a63), TOBN(0xc20c5984, 0x2abb66fc),
TOBN(0x3d40aa7c, 0xf902f245), TOBN(0x9cb12736, 0x4e536b1e),
TOBN(0x5eda24da, 0x99b3134f), TOBN(0xafbd9c69, 0x5cd011af),
TOBN(0x9a16e30a, 0xc7088c7d), TOBN(0x5ab65710, 0x3207389f),
TOBN(0x1b09547f, 0xe7407a53), TOBN(0x2322f9d7, 0x4fdc6eab),
TOBN(0xc0f2f22d, 0x7430de4d), TOBN(0x19382696, 0xe68ca9a9),
TOBN(0x17f1eff1, 0x918e5868), TOBN(0xe3b5b635, 0x586f4204),
TOBN(0x146ef980, 0x3fbc4341), TOBN(0x359f2c80, 0x5b5eed4e),
TOBN(0x9f35744e, 0x7482e41d), TOBN(0x9a9ac3ec, 0xf3b224c2),
TOBN(0x9161a6fe, 0x91fc50ae), TOBN(0x89ccc66b, 0xc613fa7c),
TOBN(0x89268b14, 0xc732f15a), TOBN(0x7cd6f4e2, 0xb467ed03),
TOBN(0xfbf79869, 0xce56b40e), TOBN(0xf93e094c, 0xc02dde98),
TOBN(0xefe0c3a8, 0xedee2cd7), TOBN(0x90f3ffc0, 0xb268fd42),
TOBN(0x81a7fd56, 0x08241aed), TOBN(0x95ab7ad8, 0x00b1afe8),
TOBN(0x40127056, 0x3e310d52), TOBN(0xd3ffdeb1, 0x09d9fc43),
TOBN(0xc8f85c91, 0xd11a8594), TOBN(0x2e74d258, 0x31cf6db8),
TOBN(0x829c7ca3, 0x02b5dfd0), TOBN(0xe389cfbe, 0x69143c86),
TOBN(0xd01b6405, 0x941768d8), TOBN(0x45103995, 0x03bf825d),
TOBN(0xcc4ee166, 0x56cd17e2), TOBN(0xbea3c283, 0xba037e79),
TOBN(0x4e1ac06e, 0xd9a47520), TOBN(0xfbfe18aa, 0xaf852404),
TOBN(0x5615f8e2, 0x8087648a), TOBN(0x7301e47e, 0xb9d150d9),
TOBN(0x79f9f9dd, 0xb299b977), TOBN(0x76697a7b, 0xa5b78314),
TOBN(0x10d67468, 0x7d7c90e7), TOBN(0x7afffe03, 0x937210b5),
TOBN(0x5aef3e4b, 0x28c22cee), TOBN(0xefb0ecd8, 0x09fd55ae),
TOBN(0x4cea7132, 0x0d2a5d6a), TOBN(0x9cfb5fa1, 0x01db6357),
TOBN(0x395e0b57, 0xf36e1ac5), TOBN(0x008fa9ad, 0x36cafb7d),
TOBN(0x8f6cdf70, 0x5308c4db), TOBN(0x51527a37, 0x95ed2477),
TOBN(0xba0dee30, 0x5bd21311), TOBN(0x6ed41b22, 0x909c90d7),
TOBN(0xc5f6b758, 0x7c8696d3), TOBN(0x0db8eaa8, 0x3ce83a80),
TOBN(0xd297fe37, 0xb24b4b6f), TOBN(0xfe58afe8, 0x522d1f0d),
TOBN(0x97358736, 0x8c98dbd9), TOBN(0x6bc226ca, 0x9454a527),
TOBN(0xa12b384e, 0xce53c2d0), TOBN(0x779d897d, 0x5e4606da),
TOBN(0xa53e47b0, 0x73ec12b0), TOBN(0x462dbbba, 0x5756f1ad),
TOBN(0x69fe09f2, 0xcafe37b6), TOBN(0x273d1ebf, 0xecce2e17),
TOBN(0x8ac1d538, 0x3cf607fd), TOBN(0x8035f7ff, 0x12e10c25),}
,
{TOBN(0x854d34c7, 0x7e6c5520), TOBN(0xc27df9ef, 0xdcb9ea58),
TOBN(0x405f2369, 0xd686666d), TOBN(0x29d1febf, 0x0417aa85),
TOBN(0x9846819e, 0x93470afe), TOBN(0x3e6a9669, 0xe2a27f9e),
TOBN(0x24d008a2, 0xe31e6504), TOBN(0xdba7cecf, 0x9cb7680a),
TOBN(0xecaff541, 0x338d6e43), TOBN(0x56f7dd73, 0x4541d5cc),
TOBN(0xb5d426de, 0x96bc88ca), TOBN(0x48d94f6b, 0x9ed3a2c3),
TOBN(0x6354a3bb, 0x2ef8279c), TOBN(0xd575465b, 0x0b1867f2),
TOBN(0xef99b0ff, 0x95225151), TOBN(0xf3e19d88, 0xf94500d8),
TOBN(0x92a83268, 0xe32dd620), TOBN(0x913ec99f, 0x627849a2),
TOBN(0xedd8fdfa, 0x2c378882), TOBN(0xaf96f33e, 0xee6f8cfe),
TOBN(0xc06737e5, 0xdc3fa8a5), TOBN(0x236bb531, 0xb0b03a1d),
TOBN(0x33e59f29, 0x89f037b0), TOBN(0x13f9b5a7, 0xd9a12a53),
TOBN(0x0d0df6ce, 0x51efb310), TOBN(0xcb5b2eb4, 0x958df5be),
TOBN(0xd6459e29, 0x36158e59), TOBN(0x82aae2b9, 0x1466e336),
TOBN(0xfb658a39, 0x411aa636), TOBN(0x7152ecc5, 0xd4c0a933),
TOBN(0xf10c758a, 0x49f026b7), TOBN(0xf4837f97, 0xcb09311f),
TOBN(0xddfb02c4, 0xc753c45f), TOBN(0x18ca81b6, 0xf9c840fe),
TOBN(0x846fd09a, 0xb0f8a3e6), TOBN(0xb1162add, 0xe7733dbc),
TOBN(0x7070ad20, 0x236e3ab6), TOBN(0xf88cdaf5, 0xb2a56326),
TOBN(0x05fc8719, 0x997cbc7a), TOBN(0x442cd452, 0x4b665272),
TOBN(0x7807f364, 0xb71698f5), TOBN(0x6ba418d2, 0x9f7b605e),
TOBN(0xfd20b00f, 0xa03b2cbb), TOBN(0x883eca37, 0xda54386f),
TOBN(0xff0be43f, 0xf3437f24), TOBN(0xe910b432, 0xa48bb33c),
TOBN(0x4963a128, 0x329df765), TOBN(0xac1dd556, 0xbe2fe6f7),
TOBN(0x557610f9, 0x24a0a3fc), TOBN(0x38e17bf4, 0xe881c3f9),
TOBN(0x6ba84faf, 0xed0dac99), TOBN(0xd4a222c3, 0x59eeb918),
TOBN(0xc79c1dbe, 0x13f542b6), TOBN(0x1fc65e0d, 0xe425d457),
TOBN(0xeffb754f, 0x1debb779), TOBN(0x638d8fd0, 0x9e08af60),
TOBN(0x994f523a, 0x626332d5), TOBN(0x7bc38833, 0x5561bb44),
TOBN(0x005ed4b0, 0x3d845ea2), TOBN(0xd39d3ee1, 0xc2a1f08a),
TOBN(0x6561fdd3, 0xe7676b0d), TOBN(0x620e35ff, 0xfb706017),
TOBN(0x36ce424f, 0xf264f9a8), TOBN(0xc4c3419f, 0xda2681f7),
TOBN(0xfb6afd2f, 0x69beb6e8), TOBN(0x3a50b993, 0x6d700d03),
TOBN(0xc840b2ad, 0x0c83a14f), TOBN(0x573207be, 0x54085bef),
TOBN(0x5af882e3, 0x09fe7e5b), TOBN(0x957678a4, 0x3b40a7e1),
TOBN(0x172d4bdd, 0x543056e2), TOBN(0x9c1b26b4, 0x0df13c0a),
TOBN(0x1c30861c, 0xf405ff06), TOBN(0xebac86bd, 0x486e828b),
TOBN(0xe791a971, 0x636933fc), TOBN(0x50e7c2be, 0x7aeee947),
TOBN(0xc3d4a095, 0xfa90d767), TOBN(0xae60eb7b, 0xe670ab7b),
TOBN(0x17633a64, 0x397b056d), TOBN(0x93a21f33, 0x105012aa),
TOBN(0x663c370b, 0xabb88643), TOBN(0x91df36d7, 0x22e21599),
TOBN(0x183ba835, 0x8b761671), TOBN(0x381eea1d, 0x728f3bf1),
TOBN(0xb9b2f1ba, 0x39966e6c), TOBN(0x7c464a28, 0xe7295492),
TOBN(0x0fd5f70a, 0x09b26b7f), TOBN(0xa9aba1f9, 0xfbe009df),
TOBN(0x857c1f22, 0x369b87ad), TOBN(0x3c00e5d9, 0x32fca556),
TOBN(0x1ad74cab, 0x90b06466), TOBN(0xa7112386, 0x550faaf2),
TOBN(0x7435e198, 0x6d9bd5f5), TOBN(0x2dcc7e38, 0x59c3463f),
TOBN(0xdc7df748, 0xca7bd4b2), TOBN(0x13cd4c08, 0x9dec2f31),
TOBN(0x0d3b5df8, 0xe3237710), TOBN(0x0dadb26e, 0xcbd2f7b0),
TOBN(0x9f5966ab, 0xe4aa082b), TOBN(0x666ec8de, 0x350e966e),
TOBN(0x1bfd1ed5, 0xee524216), TOBN(0xcd93c59b, 0x41dab0b6),
TOBN(0x658a8435, 0xd186d6ba), TOBN(0x1b7d34d2, 0x159d1195),
TOBN(0x5936e460, 0x22caf46b), TOBN(0x6a45dd8f, 0x9a96fe4f),
TOBN(0xf7925434, 0xb98f474e), TOBN(0x41410412, 0x0053ef15),
TOBN(0x71cf8d12, 0x41de97bf), TOBN(0xb8547b61, 0xbd80bef4),
TOBN(0xb47d3970, 0xc4db0037), TOBN(0xf1bcd328, 0xfef20dff),
TOBN(0x31a92e09, 0x10caad67), TOBN(0x1f591960, 0x5531a1e1),
TOBN(0x3bb852e0, 0x5f4fc840), TOBN(0x63e297ca, 0x93a72c6c),
TOBN(0x3c2b0b2e, 0x49abad67), TOBN(0x6ec405fc, 0xed3db0d9),
TOBN(0xdc14a530, 0x7fef1d40), TOBN(0xccd19846, 0x280896fc),
TOBN(0x00f83176, 0x9bb81648), TOBN(0xd69eb485, 0x653120d0),
TOBN(0xd17d75f4, 0x4ccabc62), TOBN(0x34a07f82, 0xb749fcb1),
TOBN(0x2c3af787, 0xbbfb5554), TOBN(0xb06ed4d0, 0x62e283f8),
TOBN(0x5722889f, 0xa19213a0), TOBN(0x162b085e, 0xdcf3c7b4),
TOBN(0xbcaecb31, 0xe0dd3eca), TOBN(0xc6237fbc, 0xe52f13a5),
TOBN(0xcc2b6b03, 0x27bac297), TOBN(0x2ae1cac5, 0xb917f54a),
TOBN(0x474807d4, 0x7845ae4f), TOBN(0xfec7dd92, 0xce5972e0),
TOBN(0xc3bd2541, 0x1d7915bb), TOBN(0x66f85dc4, 0xd94907ca),
TOBN(0xd981b888, 0xbdbcf0ca), TOBN(0xd75f5da6, 0xdf279e9f),
TOBN(0x128bbf24, 0x7054e934), TOBN(0x3c6ff6e5, 0x81db134b),
TOBN(0x795b7cf4, 0x047d26e4), TOBN(0xf370f7b8, 0x5049ec37),
TOBN(0xc6712d4d, 0xced945af), TOBN(0xdf30b5ec, 0x095642bc),
TOBN(0x9b034c62, 0x4896246e), TOBN(0x5652c016, 0xee90bbd1),
TOBN(0xeb38636f, 0x87fedb73), TOBN(0x5e32f847, 0x0135a613),
TOBN(0x0703b312, 0xcf933c83), TOBN(0xd05bb76e, 0x1a7f47e6),
TOBN(0x825e4f0c, 0x949c2415), TOBN(0x569e5622, 0x7250d6f8),
TOBN(0xbbe9eb3a, 0x6568013e), TOBN(0x8dbd203f, 0x22f243fc),
TOBN(0x9dbd7694, 0xb342734a), TOBN(0x8f6d12f8, 0x46afa984),
TOBN(0xb98610a2, 0xc9eade29), TOBN(0xbab4f323, 0x47dd0f18),
TOBN(0x5779737b, 0x671c0d46), TOBN(0x10b6a7c6, 0xd3e0a42a),
TOBN(0xfb19ddf3, 0x3035b41c), TOBN(0xd336343f, 0x99c45895),
TOBN(0x61fe4938, 0x54c857e5), TOBN(0xc4d506be, 0xae4e57d5),
TOBN(0x3cd8c8cb, 0xbbc33f75), TOBN(0x7281f08a, 0x9262c77d),
TOBN(0x083f4ea6, 0xf11a2823), TOBN(0x8895041e, 0x9fba2e33),
TOBN(0xfcdfea49, 0x9c438edf), TOBN(0x7678dcc3, 0x91edba44),
TOBN(0xf07b3b87, 0xe2ba50f0), TOBN(0xc13888ef, 0x43948c1b),
TOBN(0xc2135ad4, 0x1140af42), TOBN(0x8e5104f3, 0x926ed1a7),
TOBN(0xf24430cb, 0x88f6695f), TOBN(0x0ce0637b, 0x6d73c120),
TOBN(0xb2db01e6, 0xfe631e8f), TOBN(0x1c5563d7, 0xd7bdd24b),
TOBN(0x8daea3ba, 0x369ad44f), TOBN(0x000c81b6, 0x8187a9f9),
TOBN(0x5f48a951, 0xaae1fd9a), TOBN(0xe35626c7, 0x8d5aed8a),
TOBN(0x20952763, 0x0498c622), TOBN(0x76d17634, 0x773aa504),
TOBN(0x36d90dda, 0xeb300f7a), TOBN(0x9dcf7dfc, 0xedb5e801),
TOBN(0x645cb268, 0x74d5244c), TOBN(0xa127ee79, 0x348e3aa2),
TOBN(0x488acc53, 0x575f1dbb), TOBN(0x95037e85, 0x80e6161e),
TOBN(0x57e59283, 0x292650d0), TOBN(0xabe67d99, 0x14938216),
TOBN(0x3c7f944b, 0x3f8e1065), TOBN(0xed908cb6, 0x330e8924),
TOBN(0x08ee8fd5, 0x6f530136), TOBN(0x2227b7d5, 0xd7ffc169),
TOBN(0x4f55c893, 0xb5cd6dd5), TOBN(0x82225e11, 0xa62796e8),
TOBN(0x5c6cead1, 0xcb18e12c), TOBN(0x4381ae0c, 0x84f5a51a),
TOBN(0x345913d3, 0x7fafa4c8), TOBN(0x3d918082, 0x0491aac0),
TOBN(0x9347871f, 0x3e69264c), TOBN(0xbea9dd3c, 0xb4f4f0cd),
TOBN(0xbda5d067, 0x3eadd3e7), TOBN(0x0033c1b8, 0x0573bcd8),
TOBN(0x25589379, 0x5da2486c), TOBN(0xcb89ee5b, 0x86abbee7),
TOBN(0x8fe0a8f3, 0x22532e5d), TOBN(0xb6410ff0, 0x727dfc4c),
TOBN(0x619b9d58, 0x226726db), TOBN(0x5ec25669, 0x7a2b2dc7),
TOBN(0xaf4d2e06, 0x4c3beb01), TOBN(0x852123d0, 0x7acea556),
TOBN(0x0e9470fa, 0xf783487a), TOBN(0x75a7ea04, 0x5664b3eb),
TOBN(0x4ad78f35, 0x6798e4ba), TOBN(0x9214e6e5, 0xc7d0e091),
TOBN(0xc420b488, 0xb1290403), TOBN(0x64049e0a, 0xfc295749),
TOBN(0x03ef5af1, 0x3ae9841f), TOBN(0xdbe4ca19, 0xb0b662a6),
TOBN(0x46845c5f, 0xfa453458), TOBN(0xf8dabf19, 0x10b66722),
TOBN(0xb650f0aa, 0xcce2793b), TOBN(0x71db851e, 0xc5ec47c1),
TOBN(0x3eb78f3e, 0x3b234fa9), TOBN(0xb0c60f35, 0xfc0106ce),
TOBN(0x05427121, 0x774eadbd), TOBN(0x25367faf, 0xce323863),
TOBN(0x7541b5c9, 0xcd086976), TOBN(0x4ff069e2, 0xdc507ad1),
TOBN(0x74145256, 0x8776e667), TOBN(0x6e76142c, 0xb23c6bb5),
TOBN(0xdbf30712, 0x1b3a8a87), TOBN(0x60e7363e, 0x98450836),
TOBN(0x5741450e, 0xb7366d80), TOBN(0xe4ee14ca, 0x4837dbdf),
TOBN(0xa765eb9b, 0x69d4316f), TOBN(0x04548dca, 0x8ef43825),
TOBN(0x9c9f4e4c, 0x5ae888eb), TOBN(0x733abb51, 0x56e9ac99),
TOBN(0xdaad3c20, 0xba6ac029), TOBN(0x9b8dd3d3, 0x2ba3e38e),
TOBN(0xa9bb4c92, 0x0bc5d11a), TOBN(0xf20127a7, 0x9c5f88a3),
TOBN(0x4f52b06e, 0x161d3cb8), TOBN(0x26c1ff09, 0x6afaf0a6),
TOBN(0x32670d2f, 0x7189e71f), TOBN(0xc6438748, 0x5ecf91e7),
TOBN(0x15758e57, 0xdb757a21), TOBN(0x427d09f8, 0x290a9ce5),
TOBN(0x846a308f, 0x38384a7a), TOBN(0xaac3acb4, 0xb0732b99),
TOBN(0x9e941009, 0x17845819), TOBN(0x95cba111, 0xa7ce5e03),
TOBN(0x6f3d4f7f, 0xb00009c4), TOBN(0xb8396c27, 0x8ff28b5f),
TOBN(0xb1a9ae43, 0x1c97975d), TOBN(0x9d7ba8af, 0xe5d9fed5),
TOBN(0x338cf09f, 0x34f485b6), TOBN(0xbc0ddacc, 0x64122516),
TOBN(0xa450da12, 0x05d471fe), TOBN(0x4c3a6250, 0x628dd8c9),
TOBN(0x69c7d103, 0xd1295837), TOBN(0xa2893e50, 0x3807eb2f),
TOBN(0xd6e1e1de, 0xbdb41491), TOBN(0xc630745b, 0x5e138235),
TOBN(0xc892109e, 0x48661ae1), TOBN(0x8d17e7eb, 0xea2b2674),
TOBN(0x00ec0f87, 0xc328d6b5), TOBN(0x6d858645, 0xf079ff9e),
TOBN(0x6cdf243e, 0x19115ead), TOBN(0x1ce1393e, 0x4bac4fcf),
TOBN(0x2c960ed0, 0x9c29f25b), TOBN(0x59be4d8e, 0x9d388a05),
TOBN(0x0d46e06c, 0xd0def72b), TOBN(0xb923db5d, 0xe0342748),
TOBN(0xf7d3aacd, 0x936d4a3d), TOBN(0x558519cc, 0x0b0b099e),
TOBN(0x3ea8ebf8, 0x827097ef), TOBN(0x259353db, 0xd054f55d),
TOBN(0x84c89abc, 0x6d2ed089), TOBN(0x5c548b69, 0x8e096a7c),
TOBN(0xd587f616, 0x994b995d), TOBN(0x4d1531f6, 0xa5845601),
TOBN(0x792ab31e, 0x451fd9f0), TOBN(0xc8b57bb2, 0x65adf6ca),
TOBN(0x68440fcb, 0x1cd5ad73), TOBN(0xb9c860e6, 0x6144da4f),
TOBN(0x2ab286aa, 0x8462beb8), TOBN(0xcc6b8fff, 0xef46797f),
TOBN(0xac820da4, 0x20c8a471), TOBN(0x69ae05a1, 0x77ff7faf),
TOBN(0xb9163f39, 0xbfb5da77), TOBN(0xbd03e590, 0x2c73ab7a),
TOBN(0x7e862b5e, 0xb2940d9e), TOBN(0x3c663d86, 0x4b9af564),
TOBN(0xd8309031, 0xbde3033d), TOBN(0x298231b2, 0xd42c5bc6),
TOBN(0x42090d2c, 0x552ad093), TOBN(0xa4799d1c, 0xff854695),
TOBN(0x0a88b5d6, 0xd31f0d00), TOBN(0xf8b40825, 0xa2f26b46),
TOBN(0xec29b1ed, 0xf1bd7218), TOBN(0xd491c53b, 0x4b24c86e),
TOBN(0xd2fe588f, 0x3395ea65), TOBN(0x6f3764f7, 0x4456ef15),
TOBN(0xdb43116d, 0xcdc34800), TOBN(0xcdbcd456, 0xc1e33955),
TOBN(0xefdb5540, 0x74ab286b), TOBN(0x948c7a51, 0xd18c5d7c),
TOBN(0xeb81aa37, 0x7378058e), TOBN(0x41c746a1, 0x04411154),
TOBN(0xa10c73bc, 0xfb828ac7), TOBN(0x6439be91, 0x9d972b29),
TOBN(0x4bf3b4b0, 0x43a2fbad), TOBN(0x39e6dadf, 0x82b5e840),
TOBN(0x4f716408, 0x6397bd4c), TOBN(0x0f7de568, 0x7f1eeccb),
TOBN(0x5865c5a1, 0xd2ffbfc1), TOBN(0xf74211fa, 0x4ccb6451),
TOBN(0x66368a88, 0xc0b32558), TOBN(0x5b539dc2, 0x9ad7812e),
TOBN(0x579483d0, 0x2f3af6f6), TOBN(0x52132078, 0x99934ece),
TOBN(0x50b9650f, 0xdcc9e983), TOBN(0xca989ec9, 0xaee42b8a),
TOBN(0x6a44c829, 0xd6f62f99), TOBN(0x8f06a309, 0x4c2a7c0c),
TOBN(0x4ea2b3a0, 0x98a0cb0a), TOBN(0x5c547b70, 0xbeee8364),
TOBN(0x461d40e1, 0x682afe11), TOBN(0x9e0fc77a, 0x7b41c0a8),
TOBN(0x79e4aefd, 0xe20d5d36), TOBN(0x2916e520, 0x32dd9f63),
TOBN(0xf59e52e8, 0x3f883faf), TOBN(0x396f9639, 0x2b868d35),
TOBN(0xc902a9df, 0x4ca19881), TOBN(0x0fc96822, 0xdb2401a6),
TOBN(0x41237587, 0x66f1c68d), TOBN(0x10fc6de3, 0xfb476c0d),
TOBN(0xf8b6b579, 0x841f5d90), TOBN(0x2ba8446c, 0xfa24f44a),
TOBN(0xa237b920, 0xef4a9975), TOBN(0x60bb6004, 0x2330435f),
TOBN(0xd6f4ab5a, 0xcfb7e7b5), TOBN(0xb2ac5097, 0x83435391),
TOBN(0xf036ee2f, 0xb0d1ea67), TOBN(0xae779a6a, 0x74c56230),
TOBN(0x59bff8c8, 0xab838ae6), TOBN(0xcd83ca99, 0x9b38e6f0),
TOBN(0xbb27bef5, 0xe33deed3), TOBN(0xe6356f6f, 0x001892a8),
TOBN(0xbf3be6cc, 0x7adfbd3e), TOBN(0xaecbc81c, 0x33d1ac9d),
TOBN(0xe4feb909, 0xe6e861dc), TOBN(0x90a247a4, 0x53f5f801),
TOBN(0x01c50acb, 0x27346e57), TOBN(0xce29242e, 0x461acc1b),
TOBN(0x04dd214a, 0x2f998a91), TOBN(0x271ee9b1, 0xd4baf27b),
TOBN(0x7e3027d1, 0xe8c26722), TOBN(0x21d1645c, 0x1820dce5),
TOBN(0x086f242c, 0x7501779c), TOBN(0xf0061407, 0xfa0e8009),
TOBN(0xf23ce477, 0x60187129), TOBN(0x05bbdedb, 0x0fde9bd0),
TOBN(0x682f4832, 0x25d98473), TOBN(0xf207fe85, 0x5c658427),
TOBN(0xb6fdd7ba, 0x4166ffa1), TOBN(0x0c314056, 0x9eed799d),
TOBN(0x0db8048f, 0x4107e28f), TOBN(0x74ed3871, 0x41216840),
TOBN(0x74489f8f, 0x56a3c06e), TOBN(0x1e1c005b, 0x12777134),
TOBN(0xdb332a73, 0xf37ec3c3), TOBN(0xc65259bd, 0xdd59eba0),
TOBN(0x2291709c, 0xdb4d3257), TOBN(0x9a793b25, 0xbd389390),
TOBN(0xf39fe34b, 0xe43756f0), TOBN(0x2f76bdce, 0x9afb56c9),
TOBN(0x9f37867a, 0x61208b27), TOBN(0xea1d4307, 0x089972c3),
TOBN(0x8c595330, 0x8bdf623a), TOBN(0x5f5accda, 0x8441fb7d),
TOBN(0xfafa9418, 0x32ddfd95), TOBN(0x6ad40c5a, 0x0fde9be7),
TOBN(0x43faba89, 0xaeca8709), TOBN(0xc64a7cf1, 0x2c248a9d),
TOBN(0x16620252, 0x72637a76), TOBN(0xaee1c791, 0x22b8d1bb),
TOBN(0xf0f798fd, 0x21a843b2), TOBN(0x56e4ed4d, 0x8d005cb1),
TOBN(0x355f7780, 0x1f0d8abe), TOBN(0x197b04cf, 0x34522326),
TOBN(0x41f9b31f, 0xfd42c13f), TOBN(0x5ef7feb2, 0xb40f933d),
TOBN(0x27326f42, 0x5d60bad4), TOBN(0x027ecdb2, 0x8c92cf89),
TOBN(0x04aae4d1, 0x4e3352fe), TOBN(0x08414d2f, 0x73591b90),
TOBN(0x5ed6124e, 0xb7da7d60), TOBN(0xb985b931, 0x4d13d4ec),
TOBN(0xa592d3ab, 0x96bf36f9), TOBN(0x012dbed5, 0xbbdf51df),
TOBN(0xa57963c0, 0xdf6c177d), TOBN(0x010ec869, 0x87ca29cf),
TOBN(0xba1700f6, 0xbf926dff), TOBN(0x7c9fdbd1, 0xf4bf6bc2),
TOBN(0xdc18dc8f, 0x64da11f5), TOBN(0xa6074b7a, 0xd938ae75),
TOBN(0x14270066, 0xe84f44a4), TOBN(0x99998d38, 0xd27b954e),
TOBN(0xc1be8ab2, 0xb4f38e9a), TOBN(0x8bb55bbf, 0x15c01016),
TOBN(0xf73472b4, 0x0ea2ab30), TOBN(0xd365a340, 0xf73d68dd),
TOBN(0xc01a7168, 0x19c2e1eb), TOBN(0x32f49e37, 0x34061719),
TOBN(0xb73c57f1, 0x01d8b4d6), TOBN(0x03c8423c, 0x26b47700),
TOBN(0x321d0bc8, 0xa4d8826a), TOBN(0x6004213c, 0x4bc0e638),
TOBN(0xf78c64a1, 0xc1c06681), TOBN(0x16e0a16f, 0xef018e50),
TOBN(0x31cbdf91, 0xdb42b2b3), TOBN(0xf8f4ffce, 0xe0d36f58),
TOBN(0xcdcc71cd, 0x4cc5e3e0), TOBN(0xd55c7cfa, 0xa129e3e0),
TOBN(0xccdb6ba0, 0x0fb2cbf1), TOBN(0x6aba0005, 0xc4bce3cb),
TOBN(0x501cdb30, 0xd232cfc4), TOBN(0x9ddcf12e, 0xd58a3cef),
TOBN(0x02d2cf9c, 0x87e09149), TOBN(0xdc5d7ec7, 0x2c976257),
TOBN(0x6447986e, 0x0b50d7dd), TOBN(0x88fdbaf7, 0x807f112a),
TOBN(0x58c9822a, 0xb00ae9f6), TOBN(0x6abfb950, 0x6d3d27e0),
TOBN(0xd0a74487, 0x8a429f4f), TOBN(0x0649712b, 0xdb516609),
TOBN(0xb826ba57, 0xe769b5df), TOBN(0x82335df2, 0x1fc7aaf2),
TOBN(0x2389f067, 0x5c93d995), TOBN(0x59ac367a, 0x68677be6),
TOBN(0xa77985ff, 0x21d9951b), TOBN(0x038956fb, 0x85011cce),
TOBN(0x608e48cb, 0xbb734e37), TOBN(0xc08c0bf2, 0x2be5b26f),
TOBN(0x17bbdd3b, 0xf9b1a0d9), TOBN(0xeac7d898, 0x10483319),
TOBN(0xc95c4baf, 0xbc1a6dea), TOBN(0xfdd0e2bf, 0x172aafdb),
TOBN(0x40373cbc, 0x8235c41a), TOBN(0x14303f21, 0xfb6f41d5),
TOBN(0xba063621, 0x0408f237), TOBN(0xcad3b09a, 0xecd2d1ed),
TOBN(0x4667855a, 0x52abb6a2), TOBN(0xba9157dc, 0xaa8b417b),
TOBN(0xfe7f3507, 0x4f013efb), TOBN(0x1b112c4b, 0xaa38c4a2),
TOBN(0xa1406a60, 0x9ba64345), TOBN(0xe53cba33, 0x6993c80b),
TOBN(0x45466063, 0xded40d23), TOBN(0x3d5f1f4d, 0x54908e25),
TOBN(0x9ebefe62, 0x403c3c31), TOBN(0x274ea0b5, 0x0672a624),
TOBN(0xff818d99, 0x451d1b71), TOBN(0x80e82643, 0x8f79cf79),
TOBN(0xa165df13, 0x73ce37f5), TOBN(0xa744ef4f, 0xfe3a21fd),
TOBN(0x73f1e7f5, 0xcf551396), TOBN(0xc616898e, 0x868c676b),
TOBN(0x671c28c7, 0x8c442c36), TOBN(0xcfe5e558, 0x5e0a317d),
TOBN(0x1242d818, 0x7051f476), TOBN(0x56fad2a6, 0x14f03442),
TOBN(0x262068bc, 0x0a44d0f6), TOBN(0xdfa2cd6e, 0xce6edf4e),
TOBN(0x0f43813a, 0xd15d1517), TOBN(0x61214cb2, 0x377d44f5),
TOBN(0xd399aa29, 0xc639b35f), TOBN(0x42136d71, 0x54c51c19),
TOBN(0x9774711b, 0x08417221), TOBN(0x0a5546b3, 0x52545a57),
TOBN(0x80624c41, 0x1150582d), TOBN(0x9ec5c418, 0xfbc555bc),
TOBN(0x2c87dcad, 0x771849f1), TOBN(0xb0c932c5, 0x01d7bf6f),
TOBN(0x6aa5cd3e, 0x89116eb2), TOBN(0xd378c25a, 0x51ca7bd3),
TOBN(0xc612a0da, 0x9e6e3e31), TOBN(0x0417a54d, 0xb68ad5d0),
TOBN(0x00451e4a, 0x22c6edb8), TOBN(0x9fbfe019, 0xb42827ce),
TOBN(0x2fa92505, 0xba9384a2), TOBN(0x21b8596e, 0x64ad69c1),
TOBN(0x8f4fcc49, 0x983b35a6), TOBN(0xde093760, 0x72754672),
TOBN(0x2f14ccc8, 0xf7bffe6d), TOBN(0x27566bff, 0x5d94263d),
TOBN(0xb5b4e9c6, 0x2df3ec30), TOBN(0x94f1d7d5, 0x3e6ea6ba),
TOBN(0x97b7851a, 0xaaca5e9b), TOBN(0x518aa521, 0x56713b97),
TOBN(0x3357e8c7, 0x150a61f6), TOBN(0x7842e7e2, 0xec2c2b69),
TOBN(0x8dffaf65, 0x6868a548), TOBN(0xd963bd82, 0xe068fc81),
TOBN(0x64da5c8b, 0x65917733), TOBN(0x927090ff, 0x7b247328),}
,
{TOBN(0x214bc9a7, 0xd298c241), TOBN(0xe3b697ba, 0x56807cfd),
TOBN(0xef1c7802, 0x4564eadb), TOBN(0xdde8cdcf, 0xb48149c5),
TOBN(0x946bf0a7, 0x5a4d2604), TOBN(0x27154d7f, 0x6c1538af),
TOBN(0x95cc9230, 0xde5b1fcc), TOBN(0xd88519e9, 0x66864f82),
TOBN(0xb828dd1a, 0x7cb1282c), TOBN(0xa08d7626, 0xbe46973a),
TOBN(0x6baf8d40, 0xe708d6b2), TOBN(0x72571fa1, 0x4daeb3f3),
TOBN(0x85b1732f, 0xf22dfd98), TOBN(0x87ab01a7, 0x0087108d),
TOBN(0xaaaafea8, 0x5988207a), TOBN(0xccc832f8, 0x69f00755),
TOBN(0x964d950e, 0x36ff3bf0), TOBN(0x8ad20f6f, 0xf0b34638),
TOBN(0x4d9177b3, 0xb5d7585f), TOBN(0xcf839760, 0xef3f019f),
TOBN(0x582fc5b3, 0x8288c545), TOBN(0x2f8e4e9b, 0x13116bd1),
TOBN(0xf91e1b2f, 0x332120ef), TOBN(0xcf568724, 0x2a17dd23),
TOBN(0x488f1185, 0xca8d9d1a), TOBN(0xadf2c77d, 0xd987ded2),
TOBN(0x5f3039f0, 0x60c46124), TOBN(0xe5d70b75, 0x71e095f4),
TOBN(0x82d58650, 0x6260e70f), TOBN(0x39d75ea7, 0xf750d105),
TOBN(0x8cf3d0b1, 0x75bac364), TOBN(0xf3a7564d, 0x21d01329),
TOBN(0x182f04cd, 0x2f52d2a7), TOBN(0x4fde149a, 0xe2df565a),
TOBN(0xb80c5eec, 0xa79fb2f7), TOBN(0xab491d7b, 0x22ddc897),
TOBN(0x99d76c18, 0xc6312c7f), TOBN(0xca0d5f3d, 0x6aa41a57),
TOBN(0x71207325, 0xd15363a0), TOBN(0xe82aa265, 0xbeb252c2),
TOBN(0x94ab4700, 0xec3128c2), TOBN(0x6c76d862, 0x8e383f49),
TOBN(0xdc36b150, 0xc03024eb), TOBN(0xfb439477, 0x53daac69),
TOBN(0xfc68764a, 0x8dc79623), TOBN(0x5b86995d, 0xb440fbb2),
TOBN(0xd66879bf, 0xccc5ee0d), TOBN(0x05228942, 0x95aa8bd3),
TOBN(0xb51a40a5, 0x1e6a75c1), TOBN(0x24327c76, 0x0ea7d817),
TOBN(0x06630182, 0x07774597), TOBN(0xd6fdbec3, 0x97fa7164),
TOBN(0x20c99dfb, 0x13c90f48), TOBN(0xd6ac5273, 0x686ef263),
TOBN(0xc6a50bdc, 0xfef64eeb), TOBN(0xcd87b281, 0x86fdfc32),
TOBN(0xb24aa43e, 0x3fcd3efc), TOBN(0xdd26c034, 0xb8088e9a),
TOBN(0xa5ef4dc9, 0xbd3d46ea), TOBN(0xa2f99d58, 0x8a4c6a6f),
TOBN(0xddabd355, 0x2f1da46c), TOBN(0x72c3f8ce, 0x1afacdd1),
TOBN(0xd90c4eee, 0x92d40578), TOBN(0xd28bb41f, 0xca623b94),
TOBN(0x50fc0711, 0x745edc11), TOBN(0x9dd9ad7d, 0x3dc87558),
TOBN(0xce6931fb, 0xb49d1e64), TOBN(0x6c77a0a2, 0xc98bd0f9),
TOBN(0x62b9a629, 0x6baf7cb1), TOBN(0xcf065f91, 0xccf72d22),
TOBN(0x7203cce9, 0x79639071), TOBN(0x09ae4885, 0xf9cb732f),
TOBN(0x5e7c3bec, 0xee8314f3), TOBN(0x1c068aed, 0xdbea298f),
TOBN(0x08d381f1, 0x7c80acec), TOBN(0x03b56be8, 0xe330495b),
TOBN(0xaeffb8f2, 0x9222882d), TOBN(0x95ff38f6, 0xc4af8bf7),
TOBN(0x50e32d35, 0x1fc57d8c), TOBN(0x6635be52, 0x17b444f0),
TOBN(0x04d15276, 0xa5177900), TOBN(0x4e1dbb47, 0xf6858752),
TOBN(0x5b475622, 0xc615796c), TOBN(0xa6fa0387, 0x691867bf),
TOBN(0xed7f5d56, 0x2844c6d0), TOBN(0xc633cf9b, 0x03a2477d),
TOBN(0xf6be5c40, 0x2d3721d6), TOBN(0xaf312eb7, 0xe9fd68e6),
TOBN(0x242792d2, 0xe7417ce1), TOBN(0xff42bc71, 0x970ee7f5),
TOBN(0x1ff4dc6d, 0x5c67a41e), TOBN(0x77709b7b, 0x20882a58),
TOBN(0x3554731d, 0xbe217f2c), TOBN(0x2af2a8cd, 0x5bb72177),
TOBN(0x58eee769, 0x591dd059), TOBN(0xbb2930c9, 0x4bba6477),
TOBN(0x863ee047, 0x7d930cfc), TOBN(0x4c262ad1, 0x396fd1f4),
TOBN(0xf4765bc8, 0x039af7e1), TOBN(0x2519834b, 0x5ba104f6),
TOBN(0x7cd61b4c, 0xd105f961), TOBN(0xa5415da5, 0xd63bca54),
TOBN(0x778280a0, 0x88a1f17c), TOBN(0xc4968949, 0x2329512c),
TOBN(0x174a9126, 0xcecdaa7a), TOBN(0xfc8c7e0e, 0x0b13247b),
TOBN(0x29c110d2, 0x3484c1c4), TOBN(0xf8eb8757, 0x831dfc3b),
TOBN(0x022f0212, 0xc0067452), TOBN(0x3f6f69ee, 0x7b9b926c),
TOBN(0x09032da0, 0xef42daf4), TOBN(0x79f00ade, 0x83f80de4),
TOBN(0x6210db71, 0x81236c97), TOBN(0x74f7685b, 0x3ee0781f),
TOBN(0x4df7da7b, 0xa3e41372), TOBN(0x2aae38b1, 0xb1a1553e),
TOBN(0x1688e222, 0xf6dd9d1b), TOBN(0x57695448, 0x5b8b6487),
TOBN(0x478d2127, 0x4b2edeaa), TOBN(0xb2818fa5, 0x1e85956a),
TOBN(0x1e6addda, 0xf176f2c0), TOBN(0x01ca4604, 0xe2572658),
TOBN(0x0a404ded, 0x85342ffb), TOBN(0x8cf60f96, 0x441838d6),
TOBN(0x9bbc691c, 0xc9071c4a), TOBN(0xfd588744, 0x34442803),
TOBN(0x97101c85, 0x809c0d81), TOBN(0xa7fb754c, 0x8c456f7f),
TOBN(0xc95f3c5c, 0xd51805e1), TOBN(0xab4ccd39, 0xb299dca8),
TOBN(0x3e03d20b, 0x47eaf500), TOBN(0xfa3165c1, 0xd7b80893),
TOBN(0x005e8b54, 0xe160e552), TOBN(0xdc4972ba, 0x9019d11f),
TOBN(0x21a6972e, 0x0c9a4a7a), TOBN(0xa52c258f, 0x37840fd7),
TOBN(0xf8559ff4, 0xc1e99d81), TOBN(0x08e1a7d6, 0xa3c617c0),
TOBN(0xb398fd43, 0x248c6ba7), TOBN(0x6ffedd91, 0xd1283794),
TOBN(0x8a6a59d2, 0xd629d208), TOBN(0xa9d141d5, 0x3490530e),
TOBN(0x42f6fc18, 0x38505989), TOBN(0x09bf250d, 0x479d94ee),
TOBN(0x223ad3b1, 0xb3822790), TOBN(0x6c5926c0, 0x93b8971c),
TOBN(0x609efc7e, 0x75f7fa62), TOBN(0x45d66a6d, 0x1ec2d989),
TOBN(0x4422d663, 0x987d2792), TOBN(0x4a73caad, 0x3eb31d2b),
TOBN(0xf06c2ac1, 0xa32cb9e6), TOBN(0xd9445c5f, 0x91aeba84),
TOBN(0x6af7a1d5, 0xaf71013f), TOBN(0xe68216e5, 0x0bedc946),
TOBN(0xf4cba30b, 0xd27370a0), TOBN(0x7981afbf, 0x870421cc),
TOBN(0x02496a67, 0x9449f0e1), TOBN(0x86cfc4be, 0x0a47edae),
TOBN(0x3073c936, 0xb1feca22), TOBN(0xf5694612, 0x03f8f8fb),
TOBN(0xd063b723, 0x901515ea), TOBN(0x4c6c77a5, 0x749cf038),
TOBN(0x6361e360, 0xab9e5059), TOBN(0x596cf171, 0xa76a37c0),
TOBN(0x800f53fa, 0x6530ae7a), TOBN(0x0f5e631e, 0x0792a7a6),
TOBN(0x5cc29c24, 0xefdb81c9), TOBN(0xa269e868, 0x3f9c40ba),
TOBN(0xec14f9e1, 0x2cb7191e), TOBN(0x78ea1bd8, 0xe5b08ea6),
TOBN(0x3c65aa9b, 0x46332bb9), TOBN(0x84cc22b3, 0xbf80ce25),
TOBN(0x0098e9e9, 0xd49d5bf1), TOBN(0xcd4ec1c6, 0x19087da4),
TOBN(0x3c9d07c5, 0xaef6e357), TOBN(0x839a0268, 0x9f8f64b8),
TOBN(0xc5e9eb62, 0xc6d8607f), TOBN(0x759689f5, 0x6aa995e4),
TOBN(0x70464669, 0xbbb48317), TOBN(0x921474bf, 0xe402417d),
TOBN(0xcabe135b, 0x2a354c8c), TOBN(0xd51e52d2, 0x812fa4b5),
TOBN(0xec741096, 0x53311fe8), TOBN(0x4f774535, 0xb864514b),
TOBN(0xbcadd671, 0x5bde48f8), TOBN(0xc9703873, 0x2189bc7d),
TOBN(0x5d45299e, 0xc709ee8a), TOBN(0xd1287ee2, 0x845aaff8),
TOBN(0x7d1f8874, 0xdb1dbf1f), TOBN(0xea46588b, 0x990c88d6),
TOBN(0x60ba649a, 0x84368313), TOBN(0xd5fdcbce, 0x60d543ae),
TOBN(0x90b46d43, 0x810d5ab0), TOBN(0x6739d8f9, 0x04d7e5cc),
TOBN(0x021c1a58, 0x0d337c33), TOBN(0x00a61162, 0x68e67c40),
TOBN(0x95ef413b, 0x379f0a1f), TOBN(0xfe126605, 0xe9e2ab95),
TOBN(0x67578b85, 0x2f5f199c), TOBN(0xf5c00329, 0x2cb84913),
TOBN(0xf7956430, 0x37577dd8), TOBN(0x83b82af4, 0x29c5fe88),
TOBN(0x9c1bea26, 0xcdbdc132), TOBN(0x589fa086, 0x9c04339e),
TOBN(0x033e9538, 0xb13799df), TOBN(0x85fa8b21, 0xd295d034),
TOBN(0xdf17f73f, 0xbd9ddcca), TOBN(0xf32bd122, 0xddb66334),
TOBN(0x55ef88a7, 0x858b044c), TOBN(0x1f0d69c2, 0x5aa9e397),
TOBN(0x55fd9cc3, 0x40d85559), TOBN(0xc774df72, 0x7785ddb2),
TOBN(0x5dcce9f6, 0xd3bd2e1c), TOBN(0xeb30da20, 0xa85dfed0),
TOBN(0x5ed7f5bb, 0xd3ed09c4), TOBN(0x7d42a35c, 0x82a9c1bd),
TOBN(0xcf3de995, 0x9890272d), TOBN(0x75f3432a, 0x3e713a10),
TOBN(0x5e13479f, 0xe28227b8), TOBN(0xb8561ea9, 0xfefacdc8),
TOBN(0xa6a297a0, 0x8332aafd), TOBN(0x9b0d8bb5, 0x73809b62),
TOBN(0xd2fa1cfd, 0x0c63036f), TOBN(0x7a16eb55, 0xbd64bda8),
TOBN(0x3f5cf5f6, 0x78e62ddc), TOBN(0x2267c454, 0x07fd752b),
TOBN(0x5e361b6b, 0x5e437bbe), TOBN(0x95c59501, 0x8354e075),
TOBN(0xec725f85, 0xf2b254d9), TOBN(0x844b617d, 0x2cb52b4e),
TOBN(0xed8554f5, 0xcf425fb5), TOBN(0xab67703e, 0x2af9f312),
TOBN(0x4cc34ec1, 0x3cf48283), TOBN(0xb09daa25, 0x9c8a705e),
TOBN(0xd1e9d0d0, 0x5b7d4f84), TOBN(0x4df6ef64, 0xdb38929d),
TOBN(0xe16b0763, 0xaa21ba46), TOBN(0xc6b1d178, 0xa293f8fb),
TOBN(0x0ff5b602, 0xd520aabf), TOBN(0x94d671bd, 0xc339397a),
TOBN(0x7c7d98cf, 0x4f5792fa), TOBN(0x7c5e0d67, 0x11215261),
TOBN(0x9b19a631, 0xa7c5a6d4), TOBN(0xc8511a62, 0x7a45274d),
TOBN(0x0c16621c, 0xa5a60d99), TOBN(0xf7fbab88, 0xcf5e48cb),
TOBN(0xab1e6ca2, 0xf7ddee08), TOBN(0x83bd08ce, 0xe7867f3c),
TOBN(0xf7e48e8a, 0x2ac13e27), TOBN(0x4494f6df, 0x4eb1a9f5),
TOBN(0xedbf84eb, 0x981f0a62), TOBN(0x49badc32, 0x536438f0),
TOBN(0x50bea541, 0x004f7571), TOBN(0xbac67d10, 0xdf1c94ee),
TOBN(0x253d73a1, 0xb727bc31), TOBN(0xb3d01cf2, 0x30686e28),
TOBN(0x51b77b1b, 0x55fd0b8b), TOBN(0xa099d183, 0xfeec3173),
TOBN(0x202b1fb7, 0x670e72b7), TOBN(0xadc88b33, 0xa8e1635f),
TOBN(0x34e8216a, 0xf989d905), TOBN(0xc2e68d20, 0x29b58d01),
TOBN(0x11f81c92, 0x6fe55a93), TOBN(0x15f1462a, 0x8f296f40),
TOBN(0x1915d375, 0xea3d62f2), TOBN(0xa17765a3, 0x01c8977d),
TOBN(0x7559710a, 0xe47b26f6), TOBN(0xe0bd29c8, 0x535077a5),
TOBN(0x615f976d, 0x08d84858), TOBN(0x370dfe85, 0x69ced5c1),
TOBN(0xbbc7503c, 0xa734fa56), TOBN(0xfbb9f1ec, 0x91ac4574),
TOBN(0x95d7ec53, 0x060dd7ef), TOBN(0xeef2dacd, 0x6e657979),
TOBN(0x54511af3, 0xe2a08235), TOBN(0x1e324aa4, 0x1f4aea3d),
TOBN(0x550e7e71, 0xe6e67671), TOBN(0xbccd5190, 0xbf52faf7),
TOBN(0xf880d316, 0x223cc62a), TOBN(0x0d402c7e, 0x2b32eb5d),
TOBN(0xa40bc039, 0x306a5a3b), TOBN(0x4e0a41fd, 0x96783a1b),
TOBN(0xa1e8d39a, 0x0253cdd4), TOBN(0x6480be26, 0xc7388638),
TOBN(0xee365e1d, 0x2285f382), TOBN(0x188d8d8f, 0xec0b5c36),
TOBN(0x34ef1a48, 0x1f0f4d82), TOBN(0x1a8f43e1, 0xa487d29a),
TOBN(0x8168226d, 0x77aefb3a), TOBN(0xf69a751e, 0x1e72c253),
TOBN(0x8e04359a, 0xe9594df1), TOBN(0x475ffd7d, 0xd14c0467),
TOBN(0xb5a2c2b1, 0x3844e95c), TOBN(0x85caf647, 0xdd12ef94),
TOBN(0x1ecd2a9f, 0xf1063d00), TOBN(0x1dd2e229, 0x23843311),
TOBN(0x38f0e09d, 0x73d17244), TOBN(0x3ede7746, 0x8fc653f1),
TOBN(0xae4459f5, 0xdc20e21c), TOBN(0x00db2ffa, 0x6a8599ea),
TOBN(0x11682c39, 0x30cfd905), TOBN(0x4934d074, 0xa5c112a6),
TOBN(0xbdf063c5, 0x568bfe95), TOBN(0x779a440a, 0x016c441a),
TOBN(0x0c23f218, 0x97d6fbdc), TOBN(0xd3a5cd87, 0xe0776aac),
TOBN(0xcee37f72, 0xd712e8db), TOBN(0xfb28c70d, 0x26f74e8d),
TOBN(0xffe0c728, 0xb61301a0), TOBN(0xa6282168, 0xd3724354),
TOBN(0x7ff4cb00, 0x768ffedc), TOBN(0xc51b3088, 0x03b02de9),
TOBN(0xa5a8147c, 0x3902dda5), TOBN(0x35d2f706, 0xfe6973b4),
TOBN(0x5ac2efcf, 0xc257457e), TOBN(0x933f48d4, 0x8700611b),
TOBN(0xc365af88, 0x4912beb2), TOBN(0x7f5a4de6, 0x162edf94),
TOBN(0xc646ba7c, 0x0c32f34b), TOBN(0x632c6af3, 0xb2091074),
TOBN(0x58d4f2e3, 0x753e43a9), TOBN(0x70e1d217, 0x24d4e23f),
TOBN(0xb24bf729, 0xafede6a6), TOBN(0x7f4a94d8, 0x710c8b60),
TOBN(0xaad90a96, 0x8d4faa6a), TOBN(0xd9ed0b32, 0xb066b690),
TOBN(0x52fcd37b, 0x78b6dbfd), TOBN(0x0b64615e, 0x8bd2b431),
TOBN(0x228e2048, 0xcfb9fad5), TOBN(0xbeaa386d, 0x240b76bd),
TOBN(0x2d6681c8, 0x90dad7bc), TOBN(0x3e553fc3, 0x06d38f5e),
TOBN(0xf27cdb9b, 0x9d5f9750), TOBN(0x3e85c52a, 0xd28c5b0e),
TOBN(0x190795af, 0x5247c39b), TOBN(0x547831eb, 0xbddd6828),
TOBN(0xf327a227, 0x4a82f424), TOBN(0x36919c78, 0x7e47f89d),
TOBN(0xe4783919, 0x43c7392c), TOBN(0xf101b9aa, 0x2316fefe),
TOBN(0xbcdc9e9c, 0x1c5009d2), TOBN(0xfb55ea13, 0x9cd18345),
TOBN(0xf5b5e231, 0xa3ce77c7), TOBN(0xde6b4527, 0xd2f2cb3d),
TOBN(0x10f6a333, 0x9bb26f5f), TOBN(0x1e85db8e, 0x044d85b6),
TOBN(0xc3697a08, 0x94197e54), TOBN(0x65e18cc0, 0xa7cb4ea8),
TOBN(0xa38c4f50, 0xa471fe6e), TOBN(0xf031747a, 0x2f13439c),
TOBN(0x53c4a6ba, 0xc007318b), TOBN(0xa8da3ee5, 0x1deccb3d),
TOBN(0x0555b31c, 0x558216b1), TOBN(0x90c7810c, 0x2f79e6c2),
TOBN(0x9b669f4d, 0xfe8eed3c), TOBN(0x70398ec8, 0xe0fac126),
TOBN(0xa96a449e, 0xf701b235), TOBN(0x0ceecdb3, 0xeb94f395),
TOBN(0x285fc368, 0xd0cb7431), TOBN(0x0d37bb52, 0x16a18c64),
TOBN(0x05110d38, 0xb880d2dd), TOBN(0xa60f177b, 0x65930d57),
TOBN(0x7da34a67, 0xf36235f5), TOBN(0x47f5e17c, 0x183816b9),
TOBN(0xc7664b57, 0xdb394af4), TOBN(0x39ba215d, 0x7036f789),
TOBN(0x46d2ca0e, 0x2f27b472), TOBN(0xc42647ee, 0xf73a84b7),
TOBN(0x44bc7545, 0x64488f1d), TOBN(0xaa922708, 0xf4cf85d5),
TOBN(0x721a01d5, 0x53e4df63), TOBN(0x649c0c51, 0x5db46ced),
TOBN(0x6bf0d64e, 0x3cffcb6c), TOBN(0xe3bf93fe, 0x50f71d96),
TOBN(0x75044558, 0xbcc194a0), TOBN(0x16ae3372, 0x6afdc554),
TOBN(0xbfc01adf, 0x5ca48f3f), TOBN(0x64352f06, 0xe22a9b84),
TOBN(0xcee54da1, 0xc1099e4a), TOBN(0xbbda54e8, 0xfa1b89c0),
TOBN(0x166a3df5, 0x6f6e55fb), TOBN(0x1ca44a24, 0x20176f88),
TOBN(0x936afd88, 0xdfb7b5ff), TOBN(0xe34c2437, 0x8611d4a0),
TOBN(0x7effbb75, 0x86142103), TOBN(0x6704ba1b, 0x1f34fc4d),
TOBN(0x7c2a468f, 0x10c1b122), TOBN(0x36b3a610, 0x8c6aace9),
TOBN(0xabfcc0a7, 0x75a0d050), TOBN(0x066f9197, 0x3ce33e32),
TOBN(0xce905ef4, 0x29fe09be), TOBN(0x89ee25ba, 0xa8376351),
TOBN(0x2a3ede22, 0xfd29dc76), TOBN(0x7fd32ed9, 0x36f17260),
TOBN(0x0cadcf68, 0x284b4126), TOBN(0x63422f08, 0xa7951fc8),
TOBN(0x562b24f4, 0x0807e199), TOBN(0xfe9ce5d1, 0x22ad4490),
TOBN(0xc2f51b10, 0x0db2b1b4), TOBN(0xeb3613ff, 0xe4541d0d),
TOBN(0xbd2c4a05, 0x2680813b), TOBN(0x527aa55d, 0x561b08d6),
TOBN(0xa9f8a40e, 0xa7205558), TOBN(0xe3eea56f, 0x243d0bec),
TOBN(0x7b853817, 0xa0ff58b3), TOBN(0xb67d3f65, 0x1a69e627),
TOBN(0x0b76bbb9, 0xa869b5d6), TOBN(0xa3afeb82, 0x546723ed),
TOBN(0x5f24416d, 0x3e554892), TOBN(0x8413b53d, 0x430e2a45),
TOBN(0x99c56aee, 0x9032a2a0), TOBN(0x09432bf6, 0xeec367b1),
TOBN(0x552850c6, 0xdaf0ecc1), TOBN(0x49ebce55, 0x5bc92048),
TOBN(0xdfb66ba6, 0x54811307), TOBN(0x1b84f797, 0x6f298597),
TOBN(0x79590481, 0x8d1d7a0d), TOBN(0xd9fabe03, 0x3a6fa556),
TOBN(0xa40f9c59, 0xba9e5d35), TOBN(0xcb1771c1, 0xf6247577),
TOBN(0x542a47ca, 0xe9a6312b), TOBN(0xa34b3560, 0x552dd8c5),
TOBN(0xfdf94de0, 0x0d794716), TOBN(0xd46124a9, 0x9c623094),
TOBN(0x56b7435d, 0x68afe8b4), TOBN(0x27f20540, 0x6c0d8ea1),
TOBN(0x12b77e14, 0x73186898), TOBN(0xdbc3dd46, 0x7479490f),
TOBN(0x951a9842, 0xc03b0c05), TOBN(0x8b1b3bb3, 0x7921bc96),
TOBN(0xa573b346, 0x2b202e0a), TOBN(0x77e4665d, 0x47254d56),
TOBN(0x08b70dfc, 0xd23e3984), TOBN(0xab86e8bc, 0xebd14236),
TOBN(0xaa3e07f8, 0x57114ba7), TOBN(0x5ac71689, 0xab0ef4f2),
TOBN(0x88fca384, 0x0139d9af), TOBN(0x72733f88, 0x76644af0),
TOBN(0xf122f72a, 0x65d74f4a), TOBN(0x13931577, 0xa5626c7a),
TOBN(0xd5b5d9eb, 0x70f8d5a4), TOBN(0x375adde7, 0xd7bbb228),
TOBN(0x31e88b86, 0x0c1c0b32), TOBN(0xd1f568c4, 0x173edbaa),
TOBN(0x1592fc83, 0x5459df02), TOBN(0x2beac0fb, 0x0fcd9a7e),
TOBN(0xb0a6fdb8, 0x1b473b0a), TOBN(0xe3224c6f, 0x0fe8fc48),
TOBN(0x680bd00e, 0xe87edf5b), TOBN(0x30385f02, 0x20e77cf5),
TOBN(0xe9ab98c0, 0x4d42d1b2), TOBN(0x72d191d2, 0xd3816d77),
TOBN(0x1564daca, 0x0917d9e5), TOBN(0x394eab59, 0x1f8fed7f),
TOBN(0xa209aa8d, 0x7fbb3896), TOBN(0x5564f3b9, 0xbe6ac98e),
TOBN(0xead21d05, 0xd73654ef), TOBN(0x68d1a9c4, 0x13d78d74),
TOBN(0x61e01708, 0x6d4973a0), TOBN(0x83da3500, 0x46e6d32a),
TOBN(0x6a3dfca4, 0x68ae0118), TOBN(0xa1b9a4c9, 0xd02da069),
TOBN(0x0b2ff9c7, 0xebab8302), TOBN(0x98af07c3, 0x944ba436),
TOBN(0x85997326, 0x995f0f9f), TOBN(0x467fade0, 0x71b58bc6),
TOBN(0x47e4495a, 0xbd625a2b), TOBN(0xfdd2d01d, 0x33c3b8cd),
TOBN(0x2c38ae28, 0xc693f9fa), TOBN(0x48622329, 0x348f7999),
TOBN(0x97bf738e, 0x2161f583), TOBN(0x15ee2fa7, 0x565e8cc9),
TOBN(0xa1a5c845, 0x5777e189), TOBN(0xcc10bee0, 0x456f2829),
TOBN(0x8ad95c56, 0xda762bd5), TOBN(0x152e2214, 0xe9d91da8),
TOBN(0x975b0e72, 0x7cb23c74), TOBN(0xfd5d7670, 0xa90c66df),
TOBN(0xb5b5b8ad, 0x225ffc53), TOBN(0xab6dff73, 0xfaded2ae),
TOBN(0xebd56781, 0x6f4cbe9d), TOBN(0x0ed8b249, 0x6a574bd7),
TOBN(0x41c246fe, 0x81a881fa), TOBN(0x91564805, 0xc3db9c70),
TOBN(0xd7c12b08, 0x5b862809), TOBN(0x1facd1f1, 0x55858d7b),
TOBN(0x7693747c, 0xaf09e92a), TOBN(0x3b69dcba, 0x189a425f),
TOBN(0x0be28e9f, 0x967365ef), TOBN(0x57300eb2, 0xe801f5c9),
TOBN(0x93b8ac6a, 0xd583352f), TOBN(0xa2cf1f89, 0xcd05b2b7),
TOBN(0x7c0c9b74, 0x4dcc40cc), TOBN(0xfee38c45, 0xada523fb),
TOBN(0xb49a4dec, 0x1099cc4d), TOBN(0x325c377f, 0x69f069c6),
TOBN(0xe12458ce, 0x476cc9ff), TOBN(0x580e0b6c, 0xc6d4cb63),
TOBN(0xd561c8b7, 0x9072289b), TOBN(0x0377f264, 0xa619e6da),
TOBN(0x26685362, 0x88e591a5), TOBN(0xa453a7bd, 0x7523ca2b),
TOBN(0x8a9536d2, 0xc1df4533), TOBN(0xc8e50f2f, 0xbe972f79),
TOBN(0xd433e50f, 0x6d3549cf), TOBN(0x6f33696f, 0xfacd665e),
TOBN(0x695bfdac, 0xce11fcb4), TOBN(0x810ee252, 0xaf7c9860),
TOBN(0x65450fe1, 0x7159bb2c), TOBN(0xf7dfbebe, 0x758b357b),
TOBN(0x2b057e74, 0xd69fea72), TOBN(0xd485717a, 0x92731745),}
,
{TOBN(0x896c42e8, 0xee36860c), TOBN(0xdaf04dfd, 0x4113c22d),
TOBN(0x1adbb7b7, 0x44104213), TOBN(0xe5fd5fa1, 0x1fd394ea),
TOBN(0x68235d94, 0x1a4e0551), TOBN(0x6772cfbe, 0x18d10151),
TOBN(0x276071e3, 0x09984523), TOBN(0xe4e879de, 0x5a56ba98),
TOBN(0xaaafafb0, 0x285b9491), TOBN(0x01a0be88, 0x1e4c705e),
TOBN(0xff1d4f5d, 0x2ad9caab), TOBN(0x6e349a4a, 0xc37a233f),
TOBN(0xcf1c1246, 0x4a1c6a16), TOBN(0xd99e6b66, 0x29383260),
TOBN(0xea3d4366, 0x5f6d5471), TOBN(0x36974d04, 0xff8cc89b),
TOBN(0xc26c49a1, 0xcfe89d80), TOBN(0xb42c026d, 0xda9c8371),
TOBN(0xca6c013a, 0xdad066d2), TOBN(0xfb8f7228, 0x56a4f3ee),
TOBN(0x08b579ec, 0xd850935b), TOBN(0x34c1a74c, 0xd631e1b3),
TOBN(0xcb5fe596, 0xac198534), TOBN(0x39ff21f6, 0xe1f24f25),
TOBN(0x27f29e14, 0x8f929057), TOBN(0x7a64ae06, 0xc0c853df),
TOBN(0x256cd183, 0x58e9c5ce), TOBN(0x9d9cce82, 0xded092a5),
TOBN(0xcc6e5979, 0x6e93b7c7), TOBN(0xe1e47092, 0x31bb9e27),
TOBN(0xb70b3083, 0xaa9e29a0), TOBN(0xbf181a75, 0x3785e644),
TOBN(0xf53f2c65, 0x8ead09f7), TOBN(0x1335e1d5, 0x9780d14d),
TOBN(0x69cc20e0, 0xcd1b66bc), TOBN(0x9b670a37, 0xbbe0bfc8),
TOBN(0xce53dc81, 0x28efbeed), TOBN(0x0c74e77c, 0x8326a6e5),
TOBN(0x3604e0d2, 0xb88e9a63), TOBN(0xbab38fca, 0x13dc2248),
TOBN(0x8ed6e8c8, 0x5c0a3f1e), TOBN(0xbcad2492, 0x7c87c37f),
TOBN(0xfdfb62bb, 0x9ee3b78d), TOBN(0xeba8e477, 0xcbceba46),
TOBN(0x37d38cb0, 0xeeaede4b), TOBN(0x0bc498e8, 0x7976deb6),
TOBN(0xb2944c04, 0x6b6147fb), TOBN(0x8b123f35, 0xf71f9609),
TOBN(0xa155dcc7, 0xde79dc24), TOBN(0xf1168a32, 0x558f69cd),
TOBN(0xbac21595, 0x0d1850df), TOBN(0x15c8295b, 0xb204c848),
TOBN(0xf661aa36, 0x7d8184ff), TOBN(0xc396228e, 0x30447bdb),
TOBN(0x11cd5143, 0xbde4a59e), TOBN(0xe3a26e3b, 0x6beab5e6),
TOBN(0xd3b3a13f, 0x1402b9d0), TOBN(0x573441c3, 0x2c7bc863),
TOBN(0x4b301ec4, 0x578c3e6e), TOBN(0xc26fc9c4, 0x0adaf57e),
TOBN(0x96e71bfd, 0x7493cea3), TOBN(0xd05d4b3f, 0x1af81456),
TOBN(0xdaca2a8a, 0x6a8c608f), TOBN(0x53ef07f6, 0x0725b276),
TOBN(0x07a5fbd2, 0x7824fc56), TOBN(0x34675218, 0x13289077),
TOBN(0x5bf69fd5, 0xe0c48349), TOBN(0xa613ddd3, 0xb6aa7875),
TOBN(0x7f78c19c, 0x5450d866), TOBN(0x46f4409c, 0x8f84a481),
TOBN(0x9f1d1928, 0x90fce239), TOBN(0x016c4168, 0xb2ce44b9),
TOBN(0xbae023f0, 0xc7435978), TOBN(0xb152c888, 0x20e30e19),
TOBN(0x9c241645, 0xe3fa6faf), TOBN(0x735d95c1, 0x84823e60),
TOBN(0x03197573, 0x03955317), TOBN(0x0b4b02a9, 0xf03b4995),
TOBN(0x076bf559, 0x70274600), TOBN(0x32c5cc53, 0xaaf57508),
TOBN(0xe8af6d1f, 0x60624129), TOBN(0xb7bc5d64, 0x9a5e2b5e),
TOBN(0x3814b048, 0x5f082d72), TOBN(0x76f267f2, 0xce19677a),
TOBN(0x626c630f, 0xb36eed93), TOBN(0x55230cd7, 0x3bf56803),
TOBN(0x78837949, 0xce2736a0), TOBN(0x0d792d60, 0xaa6c55f1),
TOBN(0x0318dbfd, 0xd5c7c5d2), TOBN(0xb38f8da7, 0x072b342d),
TOBN(0x3569bddc, 0x7b8de38a), TOBN(0xf25b5887, 0xa1c94842),
TOBN(0xb2d5b284, 0x2946ad60), TOBN(0x854f29ad, 0xe9d1707e),
TOBN(0xaa5159dc, 0x2c6a4509), TOBN(0x899f94c0, 0x57189837),
TOBN(0xcf6adc51, 0xf4a55b03), TOBN(0x261762de, 0x35e3b2d5),
TOBN(0x4cc43012, 0x04827b51), TOBN(0xcd22a113, 0xc6021442),
TOBN(0xce2fd61a, 0x247c9569), TOBN(0x59a50973, 0xd152beca),
TOBN(0x6c835a11, 0x63a716d4), TOBN(0xc26455ed, 0x187dedcf),
TOBN(0x27f536e0, 0x49ce89e7), TOBN(0x18908539, 0xcc890cb5),
TOBN(0x308909ab, 0xd83c2aa1), TOBN(0xecd3142b, 0x1ab73bd3),
TOBN(0x6a85bf59, 0xb3f5ab84), TOBN(0x3c320a68, 0xf2bea4c6),
TOBN(0xad8dc538, 0x6da4541f), TOBN(0xeaf34eb0, 0xb7c41186),
TOBN(0x1c780129, 0x977c97c4), TOBN(0x5ff9beeb, 0xc57eb9fa),
TOBN(0xa24d0524, 0xc822c478), TOBN(0xfd8eec2a, 0x461cd415),
TOBN(0xfbde194e, 0xf027458c), TOBN(0xb4ff5319, 0x1d1be115),
TOBN(0x63f874d9, 0x4866d6f4), TOBN(0x35c75015, 0xb21ad0c9),
TOBN(0xa6b5c9d6, 0x46ac49d2), TOBN(0x42c77c0b, 0x83137aa9),
TOBN(0x24d000fc, 0x68225a38), TOBN(0x0f63cfc8, 0x2fe1e907),
TOBN(0x22d1b01b, 0xc6441f95), TOBN(0x7d38f719, 0xec8e448f),
TOBN(0x9b33fa5f, 0x787fb1ba), TOBN(0x94dcfda1, 0x190158df),
TOBN(0xc47cb339, 0x5f6d4a09), TOBN(0x6b4f355c, 0xee52b826),
TOBN(0x3d100f5d, 0xf51b930a), TOBN(0xf4512fac, 0x9f668f69),
TOBN(0x546781d5, 0x206c4c74), TOBN(0xd021d4d4, 0xcb4d2e48),
TOBN(0x494a54c2, 0xca085c2d), TOBN(0xf1dbaca4, 0x520850a8),
TOBN(0x63c79326, 0x490a1aca), TOBN(0xcb64dd9c, 0x41526b02),
TOBN(0xbb772591, 0xa2979258), TOBN(0x3f582970, 0x48d97846),
TOBN(0xd66b70d1, 0x7c213ba7), TOBN(0xc28febb5, 0xe8a0ced4),
TOBN(0x6b911831, 0xc10338c1), TOBN(0x0d54e389, 0xbf0126f3),
TOBN(0x7048d460, 0x4af206ee), TOBN(0x786c88f6, 0x77e97cb9),
TOBN(0xd4375ae1, 0xac64802e), TOBN(0x469bcfe1, 0xd53ec11c),
TOBN(0xfc9b340d, 0x47062230), TOBN(0xe743bb57, 0xc5b4a3ac),
TOBN(0xfe00b4aa, 0x59ef45ac), TOBN(0x29a4ef23, 0x59edf188),
TOBN(0x40242efe, 0xb483689b), TOBN(0x2575d3f6, 0x513ac262),
TOBN(0xf30037c8, 0x0ca6db72), TOBN(0xc9fcce82, 0x98864be2),
TOBN(0x84a112ff, 0x0149362d), TOBN(0x95e57582, 0x1c4ae971),
TOBN(0x1fa4b1a8, 0x945cf86c), TOBN(0x4525a734, 0x0b024a2f),
TOBN(0xe76c8b62, 0x8f338360), TOBN(0x483ff593, 0x28edf32b),
TOBN(0x67e8e90a, 0x298b1aec), TOBN(0x9caab338, 0x736d9a21),
TOBN(0x5c09d2fd, 0x66892709), TOBN(0x2496b4dc, 0xb55a1d41),
TOBN(0x93f5fb1a, 0xe24a4394), TOBN(0x08c75049, 0x6fa8f6c1),
TOBN(0xcaead1c2, 0xc905d85f), TOBN(0xe9d7f790, 0x0733ae57),
TOBN(0x24c9a65c, 0xf07cdd94), TOBN(0x7389359c, 0xa4b55931),
TOBN(0xf58709b7, 0x367e45f7), TOBN(0x1f203067, 0xcb7e7adc),
TOBN(0x82444bff, 0xc7b72818), TOBN(0x07303b35, 0xbaac8033),
TOBN(0x1e1ee4e4, 0xd13b7ea1), TOBN(0xe6489b24, 0xe0e74180),
TOBN(0xa5f2c610, 0x7e70ef70), TOBN(0xa1655412, 0xbdd10894),
TOBN(0x555ebefb, 0x7af4194e), TOBN(0x533c1c3c, 0x8e89bd9c),
TOBN(0x735b9b57, 0x89895856), TOBN(0x15fb3cd2, 0x567f5c15),
TOBN(0x057fed45, 0x526f09fd), TOBN(0xe8a4f10c, 0x8128240a),
TOBN(0x9332efc4, 0xff2bfd8d), TOBN(0x214e77a0, 0xbd35aa31),
TOBN(0x32896d73, 0x14faa40e), TOBN(0x767867ec, 0x01e5f186),
TOBN(0xc9adf8f1, 0x17a1813e), TOBN(0xcb6cda78, 0x54741795),
TOBN(0xb7521b6d, 0x349d51aa), TOBN(0xf56b5a9e, 0xe3c7b8e9),
TOBN(0xc6f1e5c9, 0x32a096df), TOBN(0x083667c4, 0xa3635024),
TOBN(0x365ea135, 0x18087f2f), TOBN(0xf1b8eaac, 0xd136e45d),
TOBN(0xc8a0e484, 0x73aec989), TOBN(0xd75a324b, 0x142c9259),
TOBN(0xb7b4d001, 0x01dae185), TOBN(0x45434e0b, 0x9b7a94bc),
TOBN(0xf54339af, 0xfbd8cb0b), TOBN(0xdcc4569e, 0xe98ef49e),
TOBN(0x7789318a, 0x09a51299), TOBN(0x81b4d206, 0xb2b025d8),
TOBN(0xf64aa418, 0xfae85792), TOBN(0x3e50258f, 0xacd7baf7),
TOBN(0xdce84cdb, 0x2996864b), TOBN(0xa2e67089, 0x1f485fa4),
TOBN(0xb28b2bb6, 0x534c6a5a), TOBN(0x31a7ec6b, 0xc94b9d39),
TOBN(0x1d217766, 0xd6bc20da), TOBN(0x4acdb5ec, 0x86761190),
TOBN(0x68726328, 0x73701063), TOBN(0x4d24ee7c, 0x2128c29b),
TOBN(0xc072ebd3, 0xa19fd868), TOBN(0x612e481c, 0xdb8ddd3b),
TOBN(0xb4e1d754, 0x1a64d852), TOBN(0x00ef95ac, 0xc4c6c4ab),
TOBN(0x1536d2ed, 0xaa0a6c46), TOBN(0x61294086, 0x43774790),
TOBN(0x54af25e8, 0x343fda10), TOBN(0x9ff9d98d, 0xfd25d6f2),
TOBN(0x0746af7c, 0x468b8835), TOBN(0x977a31cb, 0x730ecea7),
TOBN(0xa5096b80, 0xc2cf4a81), TOBN(0xaa986833, 0x6458c37a),
TOBN(0x6af29bf3, 0xa6bd9d34), TOBN(0x6a62fe9b, 0x33c5d854),
TOBN(0x50e6c304, 0xb7133b5e), TOBN(0x04b60159, 0x7d6e6848),
TOBN(0x4cd296df, 0x5579bea4), TOBN(0x10e35ac8, 0x5ceedaf1),
TOBN(0x04c4c5fd, 0xe3bcc5b1), TOBN(0x95f9ee8a, 0x89412cf9),
TOBN(0x2c9459ee, 0x82b6eb0f), TOBN(0x2e845765, 0x95c2aadd),
TOBN(0x774a84ae, 0xd327fcfe), TOBN(0xd8c93722, 0x0368d476),
TOBN(0x0dbd5748, 0xf83e8a3b), TOBN(0xa579aa96, 0x8d2495f3),
TOBN(0x535996a0, 0xae496e9b), TOBN(0x07afbfe9, 0xb7f9bcc2),
TOBN(0x3ac1dc6d, 0x5b7bd293), TOBN(0x3b592cff, 0x7022323d),
TOBN(0xba0deb98, 0x9c0a3e76), TOBN(0x18e78e9f, 0x4b197acb),
TOBN(0x211cde10, 0x296c36ef), TOBN(0x7ee89672, 0x82c4da77),
TOBN(0xb617d270, 0xa57836da), TOBN(0xf0cd9c31, 0x9cb7560b),
TOBN(0x01fdcbf7, 0xe455fe90), TOBN(0x3fb53cbb, 0x7e7334f3),
TOBN(0x781e2ea4, 0x4e7de4ec), TOBN(0x8adab3ad, 0x0b384fd0),
TOBN(0x129eee2f, 0x53d64829), TOBN(0x7a471e17, 0xa261492b),
TOBN(0xe4f9adb9, 0xe4cb4a2c), TOBN(0x3d359f6f, 0x97ba2c2d),
TOBN(0x346c6786, 0x0aacd697), TOBN(0x92b444c3, 0x75c2f8a8),
TOBN(0xc79fa117, 0xd85df44e), TOBN(0x56782372, 0x398ddf31),
TOBN(0x60e690f2, 0xbbbab3b8), TOBN(0x4851f8ae, 0x8b04816b),
TOBN(0xc72046ab, 0x9c92e4d2), TOBN(0x518c74a1, 0x7cf3136b),
TOBN(0xff4eb50a, 0xf9877d4c), TOBN(0x14578d90, 0xa919cabb),
TOBN(0x8218f8c4, 0xac5eb2b6), TOBN(0xa3ccc547, 0x542016e4),
TOBN(0x025bf48e, 0x327f8349), TOBN(0xf3e97346, 0xf43cb641),
TOBN(0xdc2bafdf, 0x500f1085), TOBN(0x57167876, 0x2f063055),
TOBN(0x5bd914b9, 0x411925a6), TOBN(0x7c078d48, 0xa1123de5),
TOBN(0xee6bf835, 0x182b165d), TOBN(0xb11b5e5b, 0xba519727),
TOBN(0xe33ea76c, 0x1eea7b85), TOBN(0x2352b461, 0x92d4f85e),
TOBN(0xf101d334, 0xafe115bb), TOBN(0xfabc1294, 0x889175a3),
TOBN(0x7f6bcdc0, 0x5233f925), TOBN(0xe0a802db, 0xe77fec55),
TOBN(0xbdb47b75, 0x8069b659), TOBN(0x1c5e12de, 0xf98fbd74),
TOBN(0x869c58c6, 0x4b8457ee), TOBN(0xa5360f69, 0x4f7ea9f7),
TOBN(0xe576c09f, 0xf460b38f), TOBN(0x6b70d548, 0x22b7fb36),
TOBN(0x3fd237f1, 0x3bfae315), TOBN(0x33797852, 0xcbdff369),
TOBN(0x97df25f5, 0x25b516f9), TOBN(0x46f388f2, 0xba38ad2d),
TOBN(0x656c4658, 0x89d8ddbb), TOBN(0x8830b26e, 0x70f38ee8),
TOBN(0x4320fd5c, 0xde1212b0), TOBN(0xc34f30cf, 0xe4a2edb2),
TOBN(0xabb131a3, 0x56ab64b8), TOBN(0x7f77f0cc, 0xd99c5d26),
TOBN(0x66856a37, 0xbf981d94), TOBN(0x19e76d09, 0x738bd76e),
TOBN(0xe76c8ac3, 0x96238f39), TOBN(0xc0a482be, 0xa830b366),
TOBN(0xb7b8eaff, 0x0b4eb499), TOBN(0x8ecd83bc, 0x4bfb4865),
TOBN(0x971b2cb7, 0xa2f3776f), TOBN(0xb42176a4, 0xf4b88adf),
TOBN(0xb9617df5, 0xbe1fa446), TOBN(0x8b32d508, 0xcd031bd2),
TOBN(0x1c6bd47d, 0x53b618c0), TOBN(0xc424f46c, 0x6a227923),
TOBN(0x7303ffde, 0xdd92d964), TOBN(0xe9712878, 0x71b5abf2),
TOBN(0x8f48a632, 0xf815561d), TOBN(0x85f48ff5, 0xd3c055d1),
TOBN(0x222a1427, 0x7525684f), TOBN(0xd0d841a0, 0x67360cc3),
TOBN(0x4245a926, 0x0b9267c6), TOBN(0xc78913f1, 0xcf07f863),
TOBN(0xaa844c8e, 0x4d0d9e24), TOBN(0xa42ad522, 0x3d5f9017),
TOBN(0xbd371749, 0xa2c989d5), TOBN(0x928292df, 0xe1f5e78e),
TOBN(0x493b383e, 0x0a1ea6da), TOBN(0x5136fd8d, 0x13aee529),
TOBN(0x860c44b1, 0xf2c34a99), TOBN(0x3b00aca4, 0xbf5855ac),
TOBN(0xabf6aaa0, 0xfaaf37be), TOBN(0x65f43682, 0x2a53ec08),
TOBN(0x1d9a5801, 0xa11b12e1), TOBN(0x78a7ab2c, 0xe20ed475),
TOBN(0x0de1067e, 0x9a41e0d5), TOBN(0x30473f5f, 0x305023ea),
TOBN(0xdd3ae09d, 0x169c7d97), TOBN(0x5cd5baa4, 0xcfaef9cd),
TOBN(0x5cd7440b, 0x65a44803), TOBN(0xdc13966a, 0x47f364de),
TOBN(0x077b2be8, 0x2b8357c1), TOBN(0x0cb1b4c5, 0xe9d57c2a),
TOBN(0x7a4ceb32, 0x05ff363e), TOBN(0xf310fa4d, 0xca35a9ef),
TOBN(0xdbb7b352, 0xf97f68c6), TOBN(0x0c773b50, 0x0b02cf58),
TOBN(0xea2e4821, 0x3c1f96d9), TOBN(0xffb357b0, 0xeee01815),
TOBN(0xb9c924cd, 0xe0f28039), TOBN(0x0b36c95a, 0x46a3fbe4),
TOBN(0x1faaaea4, 0x5e46db6c), TOBN(0xcae575c3, 0x1928aaff),
TOBN(0x7f671302, 0xa70dab86), TOBN(0xfcbd12a9, 0x71c58cfc),
TOBN(0xcbef9acf, 0xbee0cb92), TOBN(0x573da0b9, 0xf8c1b583),
TOBN(0x4752fcfe, 0x0d41d550), TOBN(0xe7eec0e3, 0x2155cffe),
TOBN(0x0fc39fcb, 0x545ae248), TOBN(0x522cb8d1, 0x8065f44e),
TOBN(0x263c962a, 0x70cbb96c), TOBN(0xe034362a, 0xbcd124a9),
TOBN(0xf120db28, 0x3c2ae58d), TOBN(0xb9a38d49, 0xfef6d507),
TOBN(0xb1fd2a82, 0x1ff140fd), TOBN(0xbd162f30, 0x20aee7e0),
TOBN(0x4e17a5d4, 0xcb251949), TOBN(0x2aebcb83, 0x4f7e1c3d),
TOBN(0x608eb25f, 0x937b0527), TOBN(0xf42e1e47, 0xeb7d9997),
TOBN(0xeba699c4, 0xb8a53a29), TOBN(0x1f921c71, 0xe091b536),
TOBN(0xcce29e7b, 0x5b26bbd5), TOBN(0x7a8ef5ed, 0x3b61a680),
TOBN(0xe5ef8043, 0xba1f1c7e), TOBN(0x16ea8217, 0x18158dda),
TOBN(0x01778a2b, 0x599ff0f9), TOBN(0x68a923d7, 0x8104fc6b),
TOBN(0x5bfa44df, 0xda694ff3), TOBN(0x4f7199db, 0xf7667f12),
TOBN(0xc06d8ff6, 0xe46f2a79), TOBN(0x08b5dead, 0xe9f8131d),
TOBN(0x02519a59, 0xabb4ce7c), TOBN(0xc4f710bc, 0xb42aec3e),
TOBN(0x3d77b057, 0x78bde41a), TOBN(0x6474bf80, 0xb4186b5a),
TOBN(0x048b3f67, 0x88c65741), TOBN(0xc64519de, 0x03c7c154),
TOBN(0xdf073846, 0x0edfcc4f), TOBN(0x319aa737, 0x48f1aa6b),
TOBN(0x8b9f8a02, 0xca909f77), TOBN(0x90258139, 0x7580bfef),
TOBN(0xd8bfd3ca, 0xc0c22719), TOBN(0xc60209e4, 0xc9ca151e),
TOBN(0x7a744ab5, 0xd9a1a69c), TOBN(0x6de5048b, 0x14937f8f),
TOBN(0x171938d8, 0xe115ac04), TOBN(0x7df70940, 0x1c6b16d2),
TOBN(0xa6aeb663, 0x7f8e94e7), TOBN(0xc130388e, 0x2a2cf094),
TOBN(0x1850be84, 0x77f54e6e), TOBN(0x9f258a72, 0x65d60fe5),
TOBN(0xff7ff0c0, 0x6c9146d6), TOBN(0x039aaf90, 0xe63a830b),
TOBN(0x38f27a73, 0x9460342f), TOBN(0x4703148c, 0x3f795f8a),
TOBN(0x1bb5467b, 0x9681a97e), TOBN(0x00931ba5, 0xecaeb594),
TOBN(0xcdb6719d, 0x786f337c), TOBN(0xd9c01cd2, 0xe704397d),
TOBN(0x0f4a3f20, 0x555c2fef), TOBN(0x00452509, 0x7c0af223),
TOBN(0x54a58047, 0x84db8e76), TOBN(0x3bacf1aa, 0x93c8aa06),
TOBN(0x11ca957c, 0xf7919422), TOBN(0x50641053, 0x78cdaa40),
TOBN(0x7a303874, 0x9f7144ae), TOBN(0x170c963f, 0x43d4acfd),
TOBN(0x5e148149, 0x58ddd3ef), TOBN(0xa7bde582, 0x9e72dba8),
TOBN(0x0769da8b, 0x6fa68750), TOBN(0xfa64e532, 0x572e0249),
TOBN(0xfcaadf9d, 0x2619ad31), TOBN(0x87882daa, 0xa7b349cd),
TOBN(0x9f6eb731, 0x6c67a775), TOBN(0xcb10471a, 0xefc5d0b1),
TOBN(0xb433750c, 0xe1b806b2), TOBN(0x19c5714d, 0x57b1ae7e),
TOBN(0xc0dc8b7b, 0xed03fd3f), TOBN(0xdd03344f, 0x31bc194e),
TOBN(0xa66c52a7, 0x8c6320b5), TOBN(0x8bc82ce3, 0xd0b6fd93),
TOBN(0xf8e13501, 0xb35f1341), TOBN(0xe53156dd, 0x25a43e42),
TOBN(0xd3adf27e, 0x4daeb85c), TOBN(0xb81d8379, 0xbbeddeb5),
TOBN(0x1b0b546e, 0x2e435867), TOBN(0x9020eb94, 0xeba5dd60),
TOBN(0x37d91161, 0x8210cb9d), TOBN(0x4c596b31, 0x5c91f1cf),
TOBN(0xb228a90f, 0x0e0b040d), TOBN(0xbaf02d82, 0x45ff897f),
TOBN(0x2aac79e6, 0x00fa6122), TOBN(0x24828817, 0x8e36f557),
TOBN(0xb9521d31, 0x113ec356), TOBN(0x9e48861e, 0x15eff1f8),
TOBN(0x2aa1d412, 0xe0d41715), TOBN(0x71f86203, 0x53f131b8),
TOBN(0xf60da8da, 0x3fd19408), TOBN(0x4aa716dc, 0x278d9d99),
TOBN(0x394531f7, 0xa8c51c90), TOBN(0xb560b0e8, 0xf59db51c),
TOBN(0xa28fc992, 0xfa34bdad), TOBN(0xf024fa14, 0x9cd4f8bd),
TOBN(0x5cf530f7, 0x23a9d0d3), TOBN(0x615ca193, 0xe28c9b56),
TOBN(0x6d2a483d, 0x6f73c51e), TOBN(0xa4cb2412, 0xea0dc2dd),
TOBN(0x50663c41, 0x1eb917ff), TOBN(0x3d3a74cf, 0xeade299e),
TOBN(0x29b3990f, 0x4a7a9202), TOBN(0xa9bccf59, 0xa7b15c3d),
TOBN(0x66a3ccdc, 0xa5df9208), TOBN(0x48027c14, 0x43f2f929),
TOBN(0xd385377c, 0x40b557f0), TOBN(0xe001c366, 0xcd684660),
TOBN(0x1b18ed6b, 0xe2183a27), TOBN(0x879738d8, 0x63210329),
TOBN(0xa687c74b, 0xbda94882), TOBN(0xd1bbcc48, 0xa684b299),
TOBN(0xaf6f1112, 0x863b3724), TOBN(0x6943d1b4, 0x2c8ce9f8),
TOBN(0xe044a3bb, 0x098cafb4), TOBN(0x27ed2310, 0x60d48caf),
TOBN(0x542b5675, 0x3a31b84d), TOBN(0xcbf3dd50, 0xfcddbed7),
TOBN(0x25031f16, 0x41b1d830), TOBN(0xa7ec851d, 0xcb0c1e27),
TOBN(0xac1c8fe0, 0xb5ae75db), TOBN(0xb24c7557, 0x08c52120),
TOBN(0x57f811dc, 0x1d4636c3), TOBN(0xf8436526, 0x681a9939),
TOBN(0x1f6bc6d9, 0x9c81adb3), TOBN(0x840f8ac3, 0x5b7d80d4),
TOBN(0x731a9811, 0xf4387f1a), TOBN(0x7c501cd3, 0xb5156880),
TOBN(0xa5ca4a07, 0xdfe68867), TOBN(0xf123d8f0, 0x5fcea120),
TOBN(0x1fbb0e71, 0xd607039e), TOBN(0x2b70e215, 0xcd3a4546),
TOBN(0x32d2f01d, 0x53324091), TOBN(0xb796ff08, 0x180ab19b),
TOBN(0x32d87a86, 0x3c57c4aa), TOBN(0x2aed9caf, 0xb7c49a27),
TOBN(0x9fb35eac, 0x31630d98), TOBN(0x338e8cdf, 0x5c3e20a3),
TOBN(0x80f16182, 0x66cde8db), TOBN(0x4e159980, 0x2d72fd36),
TOBN(0xd7b8f13b, 0x9b6e5072), TOBN(0xf5213907, 0x3b7b5dc1),
TOBN(0x4d431f1d, 0x8ce4396e), TOBN(0x37a1a680, 0xa7ed2142),
TOBN(0xbf375696, 0xd01aaf6b), TOBN(0xaa1c0c54, 0xe63aab66),
TOBN(0x3014368b, 0x4ed80940), TOBN(0x67e6d056, 0x7a6fcedd),
TOBN(0x7c208c49, 0xca97579f), TOBN(0xfe3d7a81, 0xa23597f6),
TOBN(0x5e203202, 0x7e096ae2), TOBN(0xb1f3e1e7, 0x24b39366),
TOBN(0x26da26f3, 0x2fdcdffc), TOBN(0x79422f1d, 0x6097be83),}
,
{TOBN(0x263a2cfb, 0x9db3b381), TOBN(0x9c3a2dee, 0xd4df0a4b),
TOBN(0x728d06e9, 0x7d04e61f), TOBN(0x8b1adfbc, 0x42449325),
TOBN(0x6ec1d939, 0x7e053a1b), TOBN(0xee2be5c7, 0x66daf707),
TOBN(0x80ba1e14, 0x810ac7ab), TOBN(0xdd2ae778, 0xf530f174),
TOBN(0x0435d97a, 0x205b9d8b), TOBN(0x6eb8f064, 0x056756d4),
TOBN(0xd5e88a8b, 0xb6f8210e), TOBN(0x070ef12d, 0xec9fd9ea),
TOBN(0x4d849505, 0x3bcc876a), TOBN(0x12a75338, 0xa7404ce3),
TOBN(0xd22b49e1, 0xb8a1db5e), TOBN(0xec1f2051, 0x14bfa5ad),
TOBN(0xadbaeb79, 0xb6828f36), TOBN(0x9d7a0258, 0x01bd5b9e),
TOBN(0xeda01e0d, 0x1e844b0c), TOBN(0x4b625175, 0x887edfc9),
TOBN(0x14109fdd, 0x9669b621), TOBN(0x88a2ca56, 0xf6f87b98),
TOBN(0xfe2eb788, 0x170df6bc), TOBN(0x0cea06f4, 0xffa473f9),
TOBN(0x43ed81b5, 0xc4e83d33), TOBN(0xd9f35879, 0x5efd488b),
TOBN(0x164a620f, 0x9deb4d0f), TOBN(0xc6927bdb, 0xac6a7394),
TOBN(0x45c28df7, 0x9f9e0f03), TOBN(0x2868661e, 0xfcd7e1a9),
TOBN(0x7cf4e8d0, 0xffa348f1), TOBN(0x6bd4c284, 0x398538e0),
TOBN(0x2618a091, 0x289a8619), TOBN(0xef796e60, 0x6671b173),
TOBN(0x664e46e5, 0x9090c632), TOBN(0xa38062d4, 0x1e66f8fb),
TOBN(0x6c744a20, 0x0573274e), TOBN(0xd07b67e4, 0xa9271394),
TOBN(0x391223b2, 0x6bdc0e20), TOBN(0xbe2d93f1, 0xeb0a05a7),
TOBN(0xf23e2e53, 0x3f36d141), TOBN(0xe84bb3d4, 0x4dfca442),
TOBN(0xb804a48d, 0x6b7c023a), TOBN(0x1e16a8fa, 0x76431c3b),
TOBN(0x1b5452ad, 0xddd472e0), TOBN(0x7d405ee7, 0x0d1ee127),
TOBN(0x50fc6f1d, 0xffa27599), TOBN(0x351ac53c, 0xbf391b35),
TOBN(0x7efa14b8, 0x4444896b), TOBN(0x64974d2f, 0xf94027fb),
TOBN(0xefdcd0e8, 0xde84487d), TOBN(0x8c45b260, 0x2b48989b),
TOBN(0xa8fcbbc2, 0xd8463487), TOBN(0xd1b2b3f7, 0x3fbc476c),
TOBN(0x21d005b7, 0xc8f443c0), TOBN(0x518f2e67, 0x40c0139c),
TOBN(0x56036e8c, 0x06d75fc1), TOBN(0x2dcf7bb7, 0x3249a89f),
TOBN(0x81dd1d3d, 0xe245e7dd), TOBN(0xf578dc4b, 0xebd6e2a7),
TOBN(0x4c028903, 0xdf2ce7a0), TOBN(0xaee36288, 0x9c39afac),
TOBN(0xdc847c31, 0x146404ab), TOBN(0x6304c0d8, 0xa4e97818),
TOBN(0xae51dca2, 0xa91f6791), TOBN(0x2abe4190, 0x9baa9efc),
TOBN(0xd9d2e2f4, 0x559c7ac1), TOBN(0xe82f4b51, 0xfc9f773a),
TOBN(0xa7713027, 0x4073e81c), TOBN(0xc0276fac, 0xfbb596fc),
TOBN(0x1d819fc9, 0xa684f70c), TOBN(0x29b47fdd, 0xc9f7b1e0),
TOBN(0x358de103, 0x459b1940), TOBN(0xec881c59, 0x5b013e93),
TOBN(0x51574c93, 0x49532ad3), TOBN(0x2db1d445, 0xb37b46de),
TOBN(0xc6445b87, 0xdf239fd8), TOBN(0xc718af75, 0x151d24ee),
TOBN(0xaea1c4a4, 0xf43c6259), TOBN(0x40c0e5d7, 0x70be02f7),
TOBN(0x6a4590f4, 0x721b33f2), TOBN(0x2124f1fb, 0xfedf04ea),
TOBN(0xf8e53cde, 0x9745efe7), TOBN(0xe7e10432, 0x65f046d9),
TOBN(0xc3fca28e, 0xe4d0c7e6), TOBN(0x847e339a, 0x87253b1b),
TOBN(0x9b595348, 0x3743e643), TOBN(0xcb6a0a0b, 0x4fd12fc5),
TOBN(0xfb6836c3, 0x27d02dcc), TOBN(0x5ad00982, 0x7a68bcc2),
TOBN(0x1b24b44c, 0x005e912d), TOBN(0xcc83d20f, 0x811fdcfe),
TOBN(0x36527ec1, 0x666fba0c), TOBN(0x69948197, 0x14754635),
TOBN(0xfcdcb1a8, 0x556da9c2), TOBN(0xa5934267, 0x81a732b2),
TOBN(0xec1214ed, 0xa714181d), TOBN(0x609ac13b, 0x6067b341),
TOBN(0xff4b4c97, 0xa545df1f), TOBN(0xa1240501, 0x34d2076b),
TOBN(0x6efa0c23, 0x1409ca97), TOBN(0x254cc1a8, 0x20638c43),
TOBN(0xd4e363af, 0xdcfb46cd), TOBN(0x62c2adc3, 0x03942a27),
TOBN(0xc67b9df0, 0x56e46483), TOBN(0xa55abb20, 0x63736356),
TOBN(0xab93c098, 0xc551bc52), TOBN(0x382b49f9, 0xb15fe64b),
TOBN(0x9ec221ad, 0x4dff8d47), TOBN(0x79caf615, 0x437df4d6),
TOBN(0x5f13dc64, 0xbb456509), TOBN(0xe4c589d9, 0x191f0714),
TOBN(0x27b6a8ab, 0x3fd40e09), TOBN(0xe455842e, 0x77313ea9),
TOBN(0x8b51d1e2, 0x1f55988b), TOBN(0x5716dd73, 0x062bbbfc),
TOBN(0x633c11e5, 0x4e8bf3de), TOBN(0x9a0e77b6, 0x1b85be3b),
TOBN(0x56510729, 0x0911cca6), TOBN(0x27e76495, 0xefa6590f),
TOBN(0xe4ac8b33, 0x070d3aab), TOBN(0x2643672b, 0x9a2cd5e5),
TOBN(0x52eff79b, 0x1cfc9173), TOBN(0x665ca49b, 0x90a7c13f),
TOBN(0x5a8dda59, 0xb3efb998), TOBN(0x8a5b922d, 0x052f1341),
TOBN(0xae9ebbab, 0x3cf9a530), TOBN(0x35986e7b, 0xf56da4d7),
TOBN(0x3a636b5c, 0xff3513cc), TOBN(0xbb0cf8ba, 0x3198f7dd),
TOBN(0xb8d40522, 0x41f16f86), TOBN(0x760575d8, 0xde13a7bf),
TOBN(0x36f74e16, 0x9f7aa181), TOBN(0x163a3ecf, 0xf509ed1c),
TOBN(0x6aead61f, 0x3c40a491), TOBN(0x158c95fc, 0xdfe8fcaa),
TOBN(0xa3991b6e, 0x13cda46f), TOBN(0x79482415, 0x342faed0),
TOBN(0xf3ba5bde, 0x666b5970), TOBN(0x1d52e6bc, 0xb26ab6dd),
TOBN(0x768ba1e7, 0x8608dd3d), TOBN(0x4930db2a, 0xea076586),
TOBN(0xd9575714, 0xe7dc1afa), TOBN(0x1fc7bf7d, 0xf7c58817),
TOBN(0x6b47accd, 0xd9eee96c), TOBN(0x0ca277fb, 0xe58cec37),
TOBN(0x113fe413, 0xe702c42a), TOBN(0xdd1764ee, 0xc47cbe51),
TOBN(0x041e7cde, 0x7b3ed739), TOBN(0x50cb7459, 0x5ce9e1c0),
TOBN(0x35568513, 0x2925b212), TOBN(0x7cff95c4, 0x001b081c),
TOBN(0x63ee4cbd, 0x8088b454), TOBN(0xdb7f32f7, 0x9a9e0c8a),
TOBN(0xb377d418, 0x6b2447cb), TOBN(0xe3e982aa, 0xd370219b),
TOBN(0x06ccc1e4, 0xc2a2a593), TOBN(0x72c36865, 0x0773f24f),
TOBN(0xa13b4da7, 0x95859423), TOBN(0x8bbf1d33, 0x75040c8f),
TOBN(0x726f0973, 0xda50c991), TOBN(0x48afcd5b, 0x822d6ee2),
TOBN(0xe5fc718b, 0x20fd7771), TOBN(0xb9e8e77d, 0xfd0807a1),
TOBN(0x7f5e0f44, 0x99a7703d), TOBN(0x6972930e, 0x618e36f3),
TOBN(0x2b7c77b8, 0x23807bbe), TOBN(0xe5b82405, 0xcb27ff50),
TOBN(0xba8b8be3, 0xbd379062), TOBN(0xd64b7a1d, 0x2dce4a92),
TOBN(0x040a73c5, 0xb2952e37), TOBN(0x0a9e252e, 0xd438aeca),
TOBN(0xdd43956b, 0xc39d3bcb), TOBN(0x1a31ca00, 0xb32b2d63),
TOBN(0xd67133b8, 0x5c417a18), TOBN(0xd08e4790, 0x2ef442c8),
TOBN(0x98cb1ae9, 0x255c0980), TOBN(0x4bd86381, 0x2b4a739f),
TOBN(0x5a5c31e1, 0x1e4a45a1), TOBN(0x1e5d55fe, 0x9cb0db2f),
TOBN(0x74661b06, 0x8ff5cc29), TOBN(0x026b389f, 0x0eb8a4f4),
TOBN(0x536b21a4, 0x58848c24), TOBN(0x2e5bf8ec, 0x81dc72b0),
TOBN(0x03c187d0, 0xad886aac), TOBN(0x5c16878a, 0xb771b645),
TOBN(0xb07dfc6f, 0xc74045ab), TOBN(0x2c6360bf, 0x7800caed),
TOBN(0x24295bb5, 0xb9c972a3), TOBN(0xc9e6f88e, 0x7c9a6dba),
TOBN(0x90ffbf24, 0x92a79aa6), TOBN(0xde29d50a, 0x41c26ac2),
TOBN(0x9f0af483, 0xd309cbe6), TOBN(0x5b020d8a, 0xe0bced4f),
TOBN(0x606e986d, 0xb38023e3), TOBN(0xad8f2c9d, 0x1abc6933),
TOBN(0x19292e1d, 0xe7400e93), TOBN(0xfe3e18a9, 0x52be5e4d),
TOBN(0xe8e9771d, 0x2e0680bf), TOBN(0x8c5bec98, 0xc54db063),
TOBN(0x2af9662a, 0x74a55d1f), TOBN(0xe3fbf28f, 0x046f66d8),
TOBN(0xa3a72ab4, 0xd4dc4794), TOBN(0x09779f45, 0x5c7c2dd8),
TOBN(0xd893bdaf, 0xc3d19d8d), TOBN(0xd5a75094, 0x57d6a6df),
TOBN(0x8cf8fef9, 0x952e6255), TOBN(0x3da67cfb, 0xda9a8aff),
TOBN(0x4c23f62a, 0x2c160dcd), TOBN(0x34e6c5e3, 0x8f90eaef),
TOBN(0x35865519, 0xa9a65d5a), TOBN(0x07c48aae, 0x8fd38a3d),
TOBN(0xb7e7aeda, 0x50068527), TOBN(0x2c09ef23, 0x1c90936a),
TOBN(0x31ecfeb6, 0xe879324c), TOBN(0xa0871f6b, 0xfb0ec938),
TOBN(0xb1f0fb68, 0xd84d835d), TOBN(0xc90caf39, 0x861dc1e6),
TOBN(0x12e5b046, 0x7594f8d7), TOBN(0x26897ae2, 0x65012b92),
TOBN(0xbcf68a08, 0xa4d6755d), TOBN(0x403ee41c, 0x0991fbda),
TOBN(0x733e343e, 0x3bbf17e8), TOBN(0xd2c7980d, 0x679b3d65),
TOBN(0x33056232, 0xd2e11305), TOBN(0x966be492, 0xf3c07a6f),
TOBN(0x6a8878ff, 0xbb15509d), TOBN(0xff221101, 0x0a9b59a4),
TOBN(0x6c9f564a, 0xabe30129), TOBN(0xc6f2c940, 0x336e64cf),
TOBN(0x0fe75262, 0x8b0c8022), TOBN(0xbe0267e9, 0x6ae8db87),
TOBN(0x22e192f1, 0x93bc042b), TOBN(0xf085b534, 0xb237c458),
TOBN(0xa0d192bd, 0x832c4168), TOBN(0x7a76e9e3, 0xbdf6271d),
TOBN(0x52a882fa, 0xb88911b5), TOBN(0xc85345e4, 0xb4db0eb5),
TOBN(0xa3be02a6, 0x81a7c3ff), TOBN(0x51889c8c, 0xf0ec0469),
TOBN(0x9d031369, 0xa5e829e5), TOBN(0xcbb4c6fc, 0x1607aa41),
TOBN(0x75ac59a6, 0x241d84c1), TOBN(0xc043f2bf, 0x8829e0ee),
TOBN(0x82a38f75, 0x8ea5e185), TOBN(0x8bda40b9, 0xd87cbd9f),
TOBN(0x9e65e75e, 0x2d8fc601), TOBN(0x3d515f74, 0xa35690b3),
TOBN(0x534acf4f, 0xda79e5ac), TOBN(0x68b83b3a, 0x8630215f),
TOBN(0x5c748b2e, 0xd085756e), TOBN(0xb0317258, 0xe5d37cb2),
TOBN(0x6735841a, 0xc5ccc2c4), TOBN(0x7d7dc96b, 0x3d9d5069),
TOBN(0xa147e410, 0xfd1754bd), TOBN(0x65296e94, 0xd399ddd5),
TOBN(0xf6b5b2d0, 0xbc8fa5bc), TOBN(0x8a5ead67, 0x500c277b),
TOBN(0x214625e6, 0xdfa08a5d), TOBN(0x51fdfedc, 0x959cf047),
TOBN(0x6bc9430b, 0x289fca32), TOBN(0xe36ff0cf, 0x9d9bdc3f),
TOBN(0x2fe187cb, 0x58ea0ede), TOBN(0xed66af20, 0x5a900b3f),
TOBN(0x00e0968b, 0x5fa9f4d6), TOBN(0x2d4066ce, 0x37a362e7),
TOBN(0xa99a9748, 0xbd07e772), TOBN(0x710989c0, 0x06a4f1d0),
TOBN(0xd5dedf35, 0xce40cbd8), TOBN(0xab55c5f0, 0x1743293d),
TOBN(0x766f1144, 0x8aa24e2c), TOBN(0x94d874f8, 0x605fbcb4),
TOBN(0xa365f0e8, 0xa518001b), TOBN(0xee605eb6, 0x9d04ef0f),
TOBN(0x5a3915cd, 0xba8d4d25), TOBN(0x44c0e1b8, 0xb5113472),
TOBN(0xcbb024e8, 0x8b6740dc), TOBN(0x89087a53, 0xee1d4f0c),
TOBN(0xa88fa05c, 0x1fc4e372), TOBN(0x8bf395cb, 0xaf8b3af2),
TOBN(0x1e71c9a1, 0xdeb8568b), TOBN(0xa35daea0, 0x80fb3d32),
TOBN(0xe8b6f266, 0x2cf8fb81), TOBN(0x6d51afe8, 0x9490696a),
TOBN(0x81beac6e, 0x51803a19), TOBN(0xe3d24b7f, 0x86219080),
TOBN(0x727cfd9d, 0xdf6f463c), TOBN(0x8c6865ca, 0x72284ee8),
TOBN(0x32c88b7d, 0xb743f4ef), TOBN(0x3793909b, 0xe7d11dce),
TOBN(0xd398f922, 0x2ff2ebe8), TOBN(0x2c70ca44, 0xe5e49796),
TOBN(0xdf4d9929, 0xcb1131b1), TOBN(0x7826f298, 0x25888e79),
TOBN(0x4d3a112c, 0xf1d8740a), TOBN(0x00384cb6, 0x270afa8b),
TOBN(0xcb64125b, 0x3ab48095), TOBN(0x3451c256, 0x62d05106),
TOBN(0xd73d577d, 0xa4955845), TOBN(0x39570c16, 0xbf9f4433),
TOBN(0xd7dfaad3, 0xadecf263), TOBN(0xf1c3d8d1, 0xdc76e102),
TOBN(0x5e774a58, 0x54c6a836), TOBN(0xdad4b672, 0x3e92d47b),
TOBN(0xbe7e990f, 0xf0d796a0), TOBN(0x5fc62478, 0xdf0e8b02),
TOBN(0x8aae8bf4, 0x030c00ad), TOBN(0x3d2db93b, 0x9004ba0f),
TOBN(0xe48c8a79, 0xd85d5ddc), TOBN(0xe907caa7, 0x6bb07f34),
TOBN(0x58db343a, 0xa39eaed5), TOBN(0x0ea6e007, 0xadaf5724),
TOBN(0xe00df169, 0xd23233f3), TOBN(0x3e322796, 0x77cb637f),
TOBN(0x1f897c0e, 0x1da0cf6c), TOBN(0xa651f5d8, 0x31d6bbdd),
TOBN(0xdd61af19, 0x1a230c76), TOBN(0xbd527272, 0xcdaa5e4a),
TOBN(0xca753636, 0xd0abcd7e), TOBN(0x78bdd37c, 0x370bd8dc),
TOBN(0xc23916c2, 0x17cd93fe), TOBN(0x65b97a4d, 0xdadce6e2),
TOBN(0xe04ed4eb, 0x174e42f8), TOBN(0x1491ccaa, 0xbb21480a),
TOBN(0x145a8280, 0x23196332), TOBN(0x3c3862d7, 0x587b479a),
TOBN(0x9f4a88a3, 0x01dcd0ed), TOBN(0x4da2b7ef, 0x3ea12f1f),
TOBN(0xf8e7ae33, 0xb126e48e), TOBN(0x404a0b32, 0xf494e237),
TOBN(0x9beac474, 0xc55acadb), TOBN(0x4ee5cf3b, 0xcbec9fd9),
TOBN(0x336b33b9, 0x7df3c8c3), TOBN(0xbd905fe3, 0xb76808fd),
TOBN(0x8f436981, 0xaa45c16a), TOBN(0x255c5bfa, 0x3dd27b62),
TOBN(0x71965cbf, 0xc3dd9b4d), TOBN(0xce23edbf, 0xfc068a87),
TOBN(0xb78d4725, 0x745b029b), TOBN(0x74610713, 0xcefdd9bd),
TOBN(0x7116f75f, 0x1266bf52), TOBN(0x02046722, 0x18e49bb6),
TOBN(0xdf43df9f, 0x3d6f19e3), TOBN(0xef1bc7d0, 0xe685cb2f),
TOBN(0xcddb27c1, 0x7078c432), TOBN(0xe1961b9c, 0xb77fedb7),
TOBN(0x1edc2f5c, 0xc2290570), TOBN(0x2c3fefca, 0x19cbd886),
TOBN(0xcf880a36, 0xc2af389a), TOBN(0x96c610fd, 0xbda71cea),
TOBN(0xf03977a9, 0x32aa8463), TOBN(0x8eb7763f, 0x8586d90a),
TOBN(0x3f342454, 0x2a296e77), TOBN(0xc8718683, 0x42837a35),
TOBN(0x7dc71090, 0x6a09c731), TOBN(0x54778ffb, 0x51b816db),
TOBN(0x6b33bfec, 0xaf06defd), TOBN(0xfe3c105f, 0x8592b70b),
TOBN(0xf937fda4, 0x61da6114), TOBN(0x3c13e651, 0x4c266ad7),
TOBN(0xe363a829, 0x855938e8), TOBN(0x2eeb5d9e, 0x9de54b72),
TOBN(0xbeb93b0e, 0x20ccfab9), TOBN(0x3dffbb5f, 0x25e61a25),
TOBN(0x7f655e43, 0x1acc093d), TOBN(0x0cb6cc3d, 0x3964ce61),
TOBN(0x6ab283a1, 0xe5e9b460), TOBN(0x55d787c5, 0xa1c7e72d),
TOBN(0x4d2efd47, 0xdeadbf02), TOBN(0x11e80219, 0xac459068),
TOBN(0x810c7626, 0x71f311f0), TOBN(0xfa17ef8d, 0x4ab6ef53),
TOBN(0xaf47fd25, 0x93e43bff), TOBN(0x5cb5ff3f, 0x0be40632),
TOBN(0x54687106, 0x8ee61da3), TOBN(0x7764196e, 0xb08afd0f),
TOBN(0x831ab3ed, 0xf0290a8f), TOBN(0xcae81966, 0xcb47c387),
TOBN(0xaad7dece, 0x184efb4f), TOBN(0xdcfc53b3, 0x4749110e),
TOBN(0x6698f23c, 0x4cb632f9), TOBN(0xc42a1ad6, 0xb91f8067),
TOBN(0xb116a81d, 0x6284180a), TOBN(0xebedf5f8, 0xe901326f),
TOBN(0xf2274c9f, 0x97e3e044), TOBN(0x42018520, 0x11d09fc9),
TOBN(0x56a65f17, 0xd18e6e23), TOBN(0x2ea61e2a, 0x352b683c),
TOBN(0x27d291bc, 0x575eaa94), TOBN(0x9e7bc721, 0xb8ff522d),
TOBN(0x5f7268bf, 0xa7f04d6f), TOBN(0x5868c73f, 0xaba41748),
TOBN(0x9f85c2db, 0x7be0eead), TOBN(0x511e7842, 0xff719135),
TOBN(0x5a06b1e9, 0xc5ea90d7), TOBN(0x0c19e283, 0x26fab631),
TOBN(0x8af8f0cf, 0xe9206c55), TOBN(0x89389cb4, 0x3553c06a),
TOBN(0x39dbed97, 0xf65f8004), TOBN(0x0621b037, 0xc508991d),
TOBN(0x1c52e635, 0x96e78cc4), TOBN(0x5385c8b2, 0x0c06b4a8),
TOBN(0xd84ddfdb, 0xb0e87d03), TOBN(0xc49dfb66, 0x934bafad),
TOBN(0x7071e170, 0x59f70772), TOBN(0x3a073a84, 0x3a1db56b),
TOBN(0x03494903, 0x3b8af190), TOBN(0x7d882de3, 0xd32920f0),
TOBN(0x91633f0a, 0xb2cf8940), TOBN(0x72b0b178, 0x6f948f51),
TOBN(0x2d28dc30, 0x782653c8), TOBN(0x88829849, 0xdb903a05),
TOBN(0xb8095d0c, 0x6a19d2bb), TOBN(0x4b9e7f0c, 0x86f782cb),
TOBN(0x7af73988, 0x2d907064), TOBN(0xd12be0fe, 0x8b32643c),
TOBN(0x358ed23d, 0x0e165dc3), TOBN(0x3d47ce62, 0x4e2378ce),
TOBN(0x7e2bb0b9, 0xfeb8a087), TOBN(0x3246e8ae, 0xe29e10b9),
TOBN(0x459f4ec7, 0x03ce2b4d), TOBN(0xe9b4ca1b, 0xbbc077cf),
TOBN(0x2613b4f2, 0x0e9940c1), TOBN(0xfc598bb9, 0x047d1eb1),
TOBN(0x9744c62b, 0x45036099), TOBN(0xa9dee742, 0x167c65d8),
TOBN(0x0c511525, 0xdabe1943), TOBN(0xda110554, 0x93c6c624),
TOBN(0xae00a52c, 0x651a3be2), TOBN(0xcda5111d, 0x884449a6),
TOBN(0x063c06f4, 0xff33bed1), TOBN(0x73baaf9a, 0x0d3d76b4),
TOBN(0x52fb0c9d, 0x7fc63668), TOBN(0x6886c9dd, 0x0c039cde),
TOBN(0x602bd599, 0x55b22351), TOBN(0xb00cab02, 0x360c7c13),
TOBN(0x8cb616bc, 0x81b69442), TOBN(0x41486700, 0xb55c3cee),
TOBN(0x71093281, 0xf49ba278), TOBN(0xad956d9c, 0x64a50710),
TOBN(0x9561f28b, 0x638a7e81), TOBN(0x54155cdf, 0x5980ddc3),
TOBN(0xb2db4a96, 0xd26f247a), TOBN(0x9d774e4e, 0x4787d100),
TOBN(0x1a9e6e2e, 0x078637d2), TOBN(0x1c363e2d, 0x5e0ae06a),
TOBN(0x7493483e, 0xe9cfa354), TOBN(0x76843cb3, 0x7f74b98d),
TOBN(0xbaca6591, 0xd4b66947), TOBN(0xb452ce98, 0x04460a8c),
TOBN(0x6830d246, 0x43768f55), TOBN(0xf4197ed8, 0x7dff12df),
TOBN(0x6521b472, 0x400dd0f7), TOBN(0x59f5ca8f, 0x4b1e7093),
TOBN(0x6feff11b, 0x080338ae), TOBN(0x0ada31f6, 0xa29ca3c6),
TOBN(0x24794eb6, 0x94a2c215), TOBN(0xd83a43ab, 0x05a57ab4),
TOBN(0x264a543a, 0x2a6f89fe), TOBN(0x2c2a3868, 0xdd5ec7c2),
TOBN(0xd3373940, 0x8439d9b2), TOBN(0x715ea672, 0x0acd1f11),
TOBN(0x42c1d235, 0xe7e6cc19), TOBN(0x81ce6e96, 0xb990585c),
TOBN(0x04e5dfe0, 0xd809c7bd), TOBN(0xd7b2580c, 0x8f1050ab),
TOBN(0x6d91ad78, 0xd8a4176f), TOBN(0x0af556ee, 0x4e2e897c),
TOBN(0x162a8b73, 0x921de0ac), TOBN(0x52ac9c22, 0x7ea78400),
TOBN(0xee2a4eea, 0xefce2174), TOBN(0xbe61844e, 0x6d637f79),
TOBN(0x0491f1bc, 0x789a283b), TOBN(0x72d3ac3d, 0x880836f4),
TOBN(0xaa1c5ea3, 0x88e5402d), TOBN(0x1b192421, 0xd5cc473d),
TOBN(0x5c0b9998, 0x9dc84cac), TOBN(0xb0a8482d, 0x9c6e75b8),
TOBN(0x639961d0, 0x3a191ce2), TOBN(0xda3bc865, 0x6d837930),
TOBN(0xca990653, 0x056e6f8f), TOBN(0x84861c41, 0x64d133a7),
TOBN(0x8b403276, 0x746abe40), TOBN(0xb7b4d51a, 0xebf8e303),
TOBN(0x05b43211, 0x220a255d), TOBN(0xc997152c, 0x02419e6e),
TOBN(0x76ff47b6, 0x630c2fea), TOBN(0x50518677, 0x281fdade),
TOBN(0x3283b8ba, 0xcf902b0b), TOBN(0x8d4b4eb5, 0x37db303b),
TOBN(0xcc89f42d, 0x755011bc), TOBN(0xb43d74bb, 0xdd09d19b),
TOBN(0x65746bc9, 0x8adba350), TOBN(0x364eaf8c, 0xb51c1927),
TOBN(0x13c76596, 0x10ad72ec), TOBN(0x30045121, 0xf8d40c20),
TOBN(0x6d2d99b7, 0xea7b979b), TOBN(0xcd78cd74, 0xe6fb3bcd),
TOBN(0x11e45a9e, 0x86cffbfe), TOBN(0x78a61cf4, 0x637024f6),
TOBN(0xd06bc872, 0x3d502295), TOBN(0xf1376854, 0x458cb288),
TOBN(0xb9db26a1, 0x342f8586), TOBN(0xf33effcf, 0x4beee09e),
TOBN(0xd7e0c4cd, 0xb30cfb3a), TOBN(0x6d09b8c1, 0x6c9db4c8),
TOBN(0x40ba1a42, 0x07c8d9df), TOBN(0x6fd495f7, 0x1c52c66d),
TOBN(0xfb0e169f, 0x275264da), TOBN(0x80c2b746, 0xe57d8362),
TOBN(0xedd987f7, 0x49ad7222), TOBN(0xfdc229af, 0x4398ec7b),}
,
{TOBN(0xb0d1ed84, 0x52666a58), TOBN(0x4bcb6e00, 0xe6a9c3c2),
TOBN(0x3c57411c, 0x26906408), TOBN(0xcfc20755, 0x13556400),
TOBN(0xa08b1c50, 0x5294dba3), TOBN(0xa30ba286, 0x8b7dd31e),
TOBN(0xd70ba90e, 0x991eca74), TOBN(0x094e142c, 0xe762c2b9),
TOBN(0xb81d783e, 0x979f3925), TOBN(0x1efd130a, 0xaf4c89a7),
TOBN(0x525c2144, 0xfd1bf7fa), TOBN(0x4b296904, 0x1b265a9e),
TOBN(0xed8e9634, 0xb9db65b6), TOBN(0x35c82e32, 0x03599d8a),
TOBN(0xdaa7a54f, 0x403563f3), TOBN(0x9df088ad, 0x022c38ab),
TOBN(0xe5cfb066, 0xbb3fd30a), TOBN(0x429169da, 0xeff0354e),
TOBN(0x809cf852, 0x3524e36c), TOBN(0x136f4fb3, 0x0155be1d),
TOBN(0x4826af01, 0x1fbba712), TOBN(0x6ef0f0b4, 0x506ba1a1),
TOBN(0xd9928b31, 0x77aea73e), TOBN(0xe2bf6af2, 0x5eaa244e),
TOBN(0x8d084f12, 0x4237b64b), TOBN(0x688ebe99, 0xe3ecfd07),
TOBN(0x57b8a70c, 0xf6845dd8), TOBN(0x808fc59c, 0x5da4a325),
TOBN(0xa9032b2b, 0xa3585862), TOBN(0xb66825d5, 0xedf29386),
TOBN(0xb5a5a8db, 0x431ec29b), TOBN(0xbb143a98, 0x3a1e8dc8),
TOBN(0x35ee94ce, 0x12ae381b), TOBN(0x3a7f176c, 0x86ccda90),
TOBN(0xc63a657e, 0x4606eaca), TOBN(0x9ae5a380, 0x43cd04df),
TOBN(0x9bec8d15, 0xed251b46), TOBN(0x1f5d6d30, 0xcaca5e64),
TOBN(0x347b3b35, 0x9ff20f07), TOBN(0x4d65f034, 0xf7e4b286),
TOBN(0x9e93ba24, 0xf111661e), TOBN(0xedced484, 0xb105eb04),
TOBN(0x96dc9ba1, 0xf424b578), TOBN(0xbf8f66b7, 0xe83e9069),
TOBN(0x872d4df4, 0xd7ed8216), TOBN(0xbf07f377, 0x8e2cbecf),
TOBN(0x4281d899, 0x98e73754), TOBN(0xfec85fbb, 0x8aab8708),
TOBN(0x9a3c0dee, 0xa5ba5b0b), TOBN(0xe6a116ce, 0x42d05299),
TOBN(0xae9775fe, 0xe9b02d42), TOBN(0x72b05200, 0xa1545cb6),
TOBN(0xbc506f7d, 0x31a3b4ea), TOBN(0xe5893078, 0x8bbd9b32),
TOBN(0xc8bc5f37, 0xe4b12a97), TOBN(0x6b000c06, 0x4a73b671),
TOBN(0x13b5bf22, 0x765fa7d0), TOBN(0x59805bf0, 0x1d6a5370),
TOBN(0x67a5e29d, 0x4280db98), TOBN(0x4f53916f, 0x776b1ce3),
TOBN(0x714ff61f, 0x33ddf626), TOBN(0x4206238e, 0xa085d103),
TOBN(0x1c50d4b7, 0xe5809ee3), TOBN(0x999f450d, 0x85f8eb1d),
TOBN(0x658a6051, 0xe4c79e9b), TOBN(0x1394cb73, 0xc66a9fea),
TOBN(0x27f31ed5, 0xc6be7b23), TOBN(0xf4c88f36, 0x5aa6f8fe),
TOBN(0x0fb0721f, 0x4aaa499e), TOBN(0x68b3a7d5, 0xe3fb2a6b),
TOBN(0xa788097d, 0x3a92851d), TOBN(0x060e7f8a, 0xe96f4913),
TOBN(0x82eebe73, 0x1a3a93bc), TOBN(0x42bbf465, 0xa21adc1a),
TOBN(0xc10b6fa4, 0xef030efd), TOBN(0x247aa4c7, 0x87b097bb),
TOBN(0x8b8dc632, 0xf60c77da), TOBN(0x6ffbc26a, 0xc223523e),
TOBN(0xa4f6ff11, 0x344579cf), TOBN(0x5825653c, 0x980250f6),
TOBN(0xb2dd097e, 0xbc1aa2b9), TOBN(0x07889393, 0x37a0333a),
TOBN(0x1cf55e71, 0x37a0db38), TOBN(0x2648487f, 0x792c1613),
TOBN(0xdad01336, 0x3fcef261), TOBN(0x6239c81d, 0x0eabf129),
TOBN(0x8ee761de, 0x9d276be2), TOBN(0x406a7a34, 0x1eda6ad3),
TOBN(0x4bf367ba, 0x4a493b31), TOBN(0x54f20a52, 0x9bf7f026),
TOBN(0xb696e062, 0x9795914b), TOBN(0xcddab96d, 0x8bf236ac),
TOBN(0x4ff2c70a, 0xed25ea13), TOBN(0xfa1d09eb, 0x81cbbbe7),
TOBN(0x88fc8c87, 0x468544c5), TOBN(0x847a670d, 0x696b3317),
TOBN(0xf133421e, 0x64bcb626), TOBN(0xaea638c8, 0x26dee0b5),
TOBN(0xd6e7680b, 0xb310346c), TOBN(0xe06f4097, 0xd5d4ced3),
TOBN(0x09961452, 0x7512a30b), TOBN(0xf3d867fd, 0xe589a59a),
TOBN(0x2e73254f, 0x52d0c180), TOBN(0x9063d8a3, 0x333c74ac),
TOBN(0xeda6c595, 0xd314e7bc), TOBN(0x2ee7464b, 0x467899ed),
TOBN(0x1cef423c, 0x0a1ed5d3), TOBN(0x217e76ea, 0x69cc7613),
TOBN(0x27ccce1f, 0xe7cda917), TOBN(0x12d8016b, 0x8a893f16),
TOBN(0xbcd6de84, 0x9fc74f6b), TOBN(0xfa5817e2, 0xf3144e61),
TOBN(0x1f354164, 0x0821ee4c), TOBN(0x1583eab4, 0x0bc61992),
TOBN(0x7490caf6, 0x1d72879f), TOBN(0x998ad9f3, 0xf76ae7b2),
TOBN(0x1e181950, 0xa41157f7), TOBN(0xa9d7e1e6, 0xe8da3a7e),
TOBN(0x963784eb, 0x8426b95f), TOBN(0x0ee4ed6e, 0x542e2a10),
TOBN(0xb79d4cc5, 0xac751e7b), TOBN(0x93f96472, 0xfd4211bd),
TOBN(0x8c72d3d2, 0xc8de4fc6), TOBN(0x7b69cbf5, 0xdf44f064),
TOBN(0x3da90ca2, 0xf4bf94e1), TOBN(0x1a5325f8, 0xf12894e2),
TOBN(0x0a437f6c, 0x7917d60b), TOBN(0x9be70486, 0x96c9cb5d),
TOBN(0xb4d880bf, 0xe1dc5c05), TOBN(0xd738adda, 0xeebeeb57),
TOBN(0x6f0119d3, 0xdf0fe6a3), TOBN(0x5c686e55, 0x66eaaf5a),
TOBN(0x9cb10b50, 0xdfd0b7ec), TOBN(0xbdd0264b, 0x6a497c21),
TOBN(0xfc093514, 0x8c546c96), TOBN(0x58a947fa, 0x79dbf42a),
TOBN(0xc0b48d4e, 0x49ccd6d7), TOBN(0xff8fb02c, 0x88bd5580),
TOBN(0xc75235e9, 0x07d473b2), TOBN(0x4fab1ac5, 0xa2188af3),
TOBN(0x030fa3bc, 0x97576ec0), TOBN(0xe8c946e8, 0x0b7e7d2f),
TOBN(0x40a5c9cc, 0x70305600), TOBN(0x6d8260a9, 0xc8b013b4),
TOBN(0x0368304f, 0x70bba85c), TOBN(0xad090da1, 0xa4a0d311),
TOBN(0x7170e870, 0x2415eec1), TOBN(0xbfba35fe, 0x8461ea47),
TOBN(0x6279019a, 0xc1e91938), TOBN(0xa47638f3, 0x1afc415f),
TOBN(0x36c65cbb, 0xbcba0e0f), TOBN(0x02160efb, 0x034e2c48),
TOBN(0xe6c51073, 0x615cd9e4), TOBN(0x498ec047, 0xf1243c06),
TOBN(0x3e5a8809, 0xb17b3d8c), TOBN(0x5cd99e61, 0x0cc565f1),
TOBN(0x81e312df, 0x7851dafe), TOBN(0xf156f5ba, 0xa79061e2),
TOBN(0x80d62b71, 0x880c590e), TOBN(0xbec9746f, 0x0a39faa1),
TOBN(0x1d98a9c1, 0xc8ed1f7a), TOBN(0x09e43bb5, 0xa81d5ff2),
TOBN(0xd5f00f68, 0x0da0794a), TOBN(0x412050d9, 0x661aa836),
TOBN(0xa89f7c4e, 0x90747e40), TOBN(0x6dc05ebb, 0xb62a3686),
TOBN(0xdf4de847, 0x308e3353), TOBN(0x53868fbb, 0x9fb53bb9),
TOBN(0x2b09d2c3, 0xcfdcf7dd), TOBN(0x41a9fce3, 0x723fcab4),
TOBN(0x73d905f7, 0x07f57ca3), TOBN(0x080f9fb1, 0xac8e1555),
TOBN(0x7c088e84, 0x9ba7a531), TOBN(0x07d35586, 0xed9a147f),
TOBN(0x602846ab, 0xaf48c336), TOBN(0x7320fd32, 0x0ccf0e79),
TOBN(0xaa780798, 0xb18bd1ff), TOBN(0x52c2e300, 0xafdd2905),
TOBN(0xf27ea3d6, 0x434267cd), TOBN(0x8b96d16d, 0x15605b5f),
TOBN(0x7bb31049, 0x4b45706b), TOBN(0xe7f58b8e, 0x743d25f8),
TOBN(0xe9b5e45b, 0x87f30076), TOBN(0xd19448d6, 0x5d053d5a),
TOBN(0x1ecc8cb9, 0xd3210a04), TOBN(0x6bc7d463, 0xdafb5269),
TOBN(0x3e59b10a, 0x67c3489f), TOBN(0x1769788c, 0x65641e1b),
TOBN(0x8a53b82d, 0xbd6cb838), TOBN(0x7066d6e6, 0x236d5f22),
TOBN(0x03aa1c61, 0x6908536e), TOBN(0xc971da0d, 0x66ae9809),
TOBN(0x01b3a86b, 0xc49a2fac), TOBN(0x3b8420c0, 0x3092e77a),
TOBN(0x02057300, 0x7d6fb556), TOBN(0x6941b2a1, 0xbff40a87),
TOBN(0x140b6308, 0x0658ff2a), TOBN(0x87804363, 0x3424ab36),
TOBN(0x0253bd51, 0x5751e299), TOBN(0xc75bcd76, 0x449c3e3a),
TOBN(0x92eb4090, 0x7f8f875d), TOBN(0x9c9d754e, 0x56c26bbf),
TOBN(0x158cea61, 0x8110bbe7), TOBN(0x62a6b802, 0x745f91ea),
TOBN(0xa79c41aa, 0xc6e7394b), TOBN(0x445b6a83, 0xad57ef10),
TOBN(0x0c5277eb, 0x6ea6f40c), TOBN(0x319fe96b, 0x88633365),
TOBN(0x0b0fc61f, 0x385f63cb), TOBN(0x41250c84, 0x22bdd127),
TOBN(0x67d153f1, 0x09e942c2), TOBN(0x60920d08, 0xc021ad5d),
TOBN(0x229f5746, 0x724d81a5), TOBN(0xb7ffb892, 0x5bba3299),
TOBN(0x518c51a1, 0xde413032), TOBN(0x2a9bfe77, 0x3c2fd94c),
TOBN(0xcbcde239, 0x3191f4fd), TOBN(0x43093e16, 0xd3d6ada1),
TOBN(0x184579f3, 0x58769606), TOBN(0x2c94a8b3, 0xd236625c),
TOBN(0x6922b9c0, 0x5c437d8e), TOBN(0x3d4ae423, 0xd8d9f3c8),
TOBN(0xf72c31c1, 0x2e7090a2), TOBN(0x4ac3f5f3, 0xd76a55bd),
TOBN(0x342508fc, 0x6b6af991), TOBN(0x0d527100, 0x1b5cebbd),
TOBN(0xb84740d0, 0xdd440dd7), TOBN(0x748ef841, 0x780162fd),
TOBN(0xa8dbfe0e, 0xdfc6fafb), TOBN(0xeadfdf05, 0xf7300f27),
TOBN(0x7d06555f, 0xfeba4ec9), TOBN(0x12c56f83, 0x9e25fa97),
TOBN(0x77f84203, 0xd39b8c34), TOBN(0xed8b1be6, 0x3125eddb),
TOBN(0x5bbf2441, 0xf6e39dc5), TOBN(0xb00f6ee6, 0x6a5d678a),
TOBN(0xba456ecf, 0x57d0ea99), TOBN(0xdcae0f58, 0x17e06c43),
TOBN(0x01643de4, 0x0f5b4baa), TOBN(0x2c324341, 0xd161b9be),
TOBN(0x80177f55, 0xe126d468), TOBN(0xed325f1f, 0x76748e09),
TOBN(0x6116004a, 0xcfa9bdc2), TOBN(0x2d8607e6, 0x3a9fb468),
TOBN(0x0e573e27, 0x6009d660), TOBN(0x3a525d2e, 0x8d10c5a1),
TOBN(0xd26cb45c, 0x3b9009a0), TOBN(0xb6b0cdc0, 0xde9d7448),
TOBN(0x949c9976, 0xe1337c26), TOBN(0x6faadebd, 0xd73d68e5),
TOBN(0x9e158614, 0xf1b768d9), TOBN(0x22dfa557, 0x9cc4f069),
TOBN(0xccd6da17, 0xbe93c6d6), TOBN(0x24866c61, 0xa504f5b9),
TOBN(0x2121353c, 0x8d694da1), TOBN(0x1c6ca580, 0x0140b8c6),
TOBN(0xc245ad8c, 0xe964021e), TOBN(0xb83bffba, 0x032b82b3),
TOBN(0xfaa220c6, 0x47ef9898), TOBN(0x7e8d3ac6, 0x982c948a),
TOBN(0x1faa2091, 0xbc2d124a), TOBN(0xbd54c3dd, 0x05b15ff4),
TOBN(0x386bf3ab, 0xc87c6fb7), TOBN(0xfb2b0563, 0xfdeb6f66),
TOBN(0x4e77c557, 0x5b45afb4), TOBN(0xe9ded649, 0xefb8912d),
TOBN(0x7ec9bbf5, 0x42f6e557), TOBN(0x2570dfff, 0x62671f00),
TOBN(0x2b3bfb78, 0x88e084bd), TOBN(0xa024b238, 0xf37fe5b4),
TOBN(0x44e7dc04, 0x95649aee), TOBN(0x498ca255, 0x5e7ec1d8),
TOBN(0x3bc766ea, 0xaaa07e86), TOBN(0x0db6facb, 0xf3608586),
TOBN(0xbadd2549, 0xbdc259c8), TOBN(0x95af3c6e, 0x041c649f),
TOBN(0xb36a928c, 0x02e30afb), TOBN(0x9b5356ad, 0x008a88b8),
TOBN(0x4b67a5f1, 0xcf1d9e9d), TOBN(0xc6542e47, 0xa5d8d8ce),
TOBN(0x73061fe8, 0x7adfb6cc), TOBN(0xcc826fd3, 0x98678141),
TOBN(0x00e758b1, 0x3c80515a), TOBN(0x6afe3247, 0x41485083),
TOBN(0x0fcb08b9, 0xb6ae8a75), TOBN(0xb8cf388d, 0x4acf51e1),
TOBN(0x344a5560, 0x6961b9d6), TOBN(0x1a6778b8, 0x6a97fd0c),
TOBN(0xd840fdc1, 0xecc4c7e3), TOBN(0xde9fe47d, 0x16db68cc),
TOBN(0xe95f89de, 0xa3e216aa), TOBN(0x84f1a6a4, 0x9594a8be),
TOBN(0x7ddc7d72, 0x5a7b162b), TOBN(0xc5cfda19, 0xadc817a3),
TOBN(0x80a5d350, 0x78b58d46), TOBN(0x93365b13, 0x82978f19),
TOBN(0x2e44d225, 0x26a1fc90), TOBN(0x0d6d10d2, 0x4d70705d),
TOBN(0xd94b6b10, 0xd70c45f4), TOBN(0x0f201022, 0xb216c079),
TOBN(0xcec966c5, 0x658fde41), TOBN(0xa8d2bc7d, 0x7e27601d),
TOBN(0xbfcce3e1, 0xff230be7), TOBN(0x3394ff6b, 0x0033ffb5),
TOBN(0xd890c509, 0x8132c9af), TOBN(0xaac4b0eb, 0x361e7868),
TOBN(0x5194ded3, 0xe82d15aa), TOBN(0x4550bd2e, 0x23ae6b7d),
TOBN(0x3fda318e, 0xea5399d4), TOBN(0xd989bffa, 0x91638b80),
TOBN(0x5ea124d0, 0xa14aa12d), TOBN(0x1fb1b899, 0x3667b944),
TOBN(0x95ec7969, 0x44c44d6a), TOBN(0x91df144a, 0x57e86137),
TOBN(0x915fd620, 0x73adac44), TOBN(0x8f01732d, 0x59a83801),
TOBN(0xec579d25, 0x3aa0a633), TOBN(0x06de5e7c, 0xc9d6d59c),
TOBN(0xc132f958, 0xb1ef8010), TOBN(0x29476f96, 0xe65c1a02),
TOBN(0x336a77c0, 0xd34c3565), TOBN(0xef1105b2, 0x1b9f1e9e),
TOBN(0x63e6d08b, 0xf9e08002), TOBN(0x9aff2f21, 0xc613809e),
TOBN(0xb5754f85, 0x3a80e75d), TOBN(0xde71853e, 0x6bbda681),
TOBN(0x86f041df, 0x8197fd7a), TOBN(0x8b332e08, 0x127817fa),
TOBN(0x05d99be8, 0xb9c20cda), TOBN(0x89f7aad5, 0xd5cd0c98),
TOBN(0x7ef936fe, 0x5bb94183), TOBN(0x92ca0753, 0xb05cd7f2),
TOBN(0x9d65db11, 0x74a1e035), TOBN(0x02628cc8, 0x13eaea92),
TOBN(0xf2d9e242, 0x49e4fbf2), TOBN(0x94fdfd9b, 0xe384f8b7),
TOBN(0x65f56054, 0x63428c6b), TOBN(0x2f7205b2, 0x90b409a5),
TOBN(0xf778bb78, 0xff45ae11), TOBN(0xa13045be, 0xc5ee53b2),
TOBN(0xe00a14ff, 0x03ef77fe), TOBN(0x689cd59f, 0xffef8bef),
TOBN(0x3578f0ed, 0x1e9ade22), TOBN(0xe99f3ec0, 0x6268b6a8),
TOBN(0xa2057d91, 0xea1b3c3e), TOBN(0x2d1a7053, 0xb8823a4a),
TOBN(0xabbb336a, 0x2cca451e), TOBN(0xcd2466e3, 0x2218bb5d),
TOBN(0x3ac1f42f, 0xc8cb762d), TOBN(0x7e312aae, 0x7690211f),
TOBN(0xebb9bd73, 0x45d07450), TOBN(0x207c4b82, 0x46c2213f),
TOBN(0x99d425c1, 0x375913ec), TOBN(0x94e45e96, 0x67908220),
TOBN(0xc08f3087, 0xcd67dbf6), TOBN(0xa5670fbe, 0xc0887056),
TOBN(0x6717b64a, 0x66f5b8fc), TOBN(0xd5a56aea, 0x786fec28),
TOBN(0xa8c3f55f, 0xc0ff4952), TOBN(0xa77fefae, 0x457ac49b),
TOBN(0x29882d7c, 0x98379d44), TOBN(0xd000bdfb, 0x509edc8a),
TOBN(0xc6f95979, 0xe66fe464), TOBN(0x504a6115, 0xfa61bde0),
TOBN(0x56b3b871, 0xeffea31a), TOBN(0x2d3de26d, 0xf0c21a54),
TOBN(0x21dbff31, 0x834753bf), TOBN(0xe67ecf49, 0x69269d86),
TOBN(0x7a176952, 0x151fe690), TOBN(0x03515804, 0x7f2adb5f),
TOBN(0xee794b15, 0xd1b62a8d), TOBN(0xf004ceec, 0xaae454e6),
TOBN(0x0897ea7c, 0xf0386fac), TOBN(0x3b62ff12, 0xd1fca751),
TOBN(0x154181df, 0x1b7a04ec), TOBN(0x2008e04a, 0xfb5847ec),
TOBN(0xd147148e, 0x41dbd772), TOBN(0x2b419f73, 0x22942654),
TOBN(0x669f30d3, 0xe9c544f7), TOBN(0x52a2c223, 0xc8540149),
TOBN(0x5da9ee14, 0x634dfb02), TOBN(0x5f074ff0, 0xf47869f3),
TOBN(0x74ee878d, 0xa3933acc), TOBN(0xe6510651, 0x4fe35ed1),
TOBN(0xb3eb9482, 0xf1012e7a), TOBN(0x51013cc0, 0xa8a566ae),
TOBN(0xdd5e9243, 0x47c00d3b), TOBN(0x7fde089d, 0x946bb0e5),
TOBN(0x030754fe, 0xc731b4b3), TOBN(0x12a136a4, 0x99fda062),
TOBN(0x7c1064b8, 0x5a1a35bc), TOBN(0xbf1f5763, 0x446c84ef),
TOBN(0xed29a56d, 0xa16d4b34), TOBN(0x7fba9d09, 0xdca21c4f),
TOBN(0x66d7ac00, 0x6d8de486), TOBN(0x60061987, 0x73a2a5e1),
TOBN(0x8b400f86, 0x9da28ff0), TOBN(0x3133f708, 0x43c4599c),
TOBN(0x9911c9b8, 0xee28cb0d), TOBN(0xcd7e2874, 0x8e0af61d),
TOBN(0x5a85f0f2, 0x72ed91fc), TOBN(0x85214f31, 0x9cd4a373),
TOBN(0x881fe5be, 0x1925253c), TOBN(0xd8dc98e0, 0x91e8bc76),
TOBN(0x7120affe, 0x585cc3a2), TOBN(0x724952ed, 0x735bf97a),
TOBN(0x5581e7dc, 0x3eb34581), TOBN(0x5cbff4f2, 0xe52ee57d),
TOBN(0x8d320a0e, 0x87d8cc7b), TOBN(0x9beaa7f3, 0xf1d280d0),
TOBN(0x7a0b9571, 0x9beec704), TOBN(0x9126332e, 0x5b7f0057),
TOBN(0x01fbc1b4, 0x8ed3bd6d), TOBN(0x35bb2c12, 0xd945eb24),
TOBN(0x6404694e, 0x9a8ae255), TOBN(0xb6092eec, 0x8d6abfb3),
TOBN(0x4d76143f, 0xcc058865), TOBN(0x7b0a5af2, 0x6e249922),
TOBN(0x8aef9440, 0x6a50d353), TOBN(0xe11e4bcc, 0x64f0e07a),
TOBN(0x4472993a, 0xa14a90fa), TOBN(0x7706e20c, 0xba0c51d4),
TOBN(0xf403292f, 0x1532672d), TOBN(0x52573bfa, 0x21829382),
TOBN(0x6a7bb6a9, 0x3b5bdb83), TOBN(0x08da65c0, 0xa4a72318),
TOBN(0xc58d22aa, 0x63eb065f), TOBN(0x1717596c, 0x1b15d685),
TOBN(0x112df0d0, 0xb266d88b), TOBN(0xf688ae97, 0x5941945a),
TOBN(0x487386e3, 0x7c292cac), TOBN(0x42f3b50d, 0x57d6985c),
TOBN(0x6da4f998, 0x6a90fc34), TOBN(0xc8f257d3, 0x65ca8a8d),
TOBN(0xc2feabca, 0x6951f762), TOBN(0xe1bc81d0, 0x74c323ac),
TOBN(0x1bc68f67, 0x251a2a12), TOBN(0x10d86587, 0xbe8a70dc),
TOBN(0xd648af7f, 0xf0f84d2e), TOBN(0xf0aa9ebc, 0x6a43ac92),
TOBN(0x69e3be04, 0x27596893), TOBN(0xb6bb02a6, 0x45bf452b),
TOBN(0x0875c11a, 0xf4c698c8), TOBN(0x6652b5c7, 0xbece3794),
TOBN(0x7b3755fd, 0x4f5c0499), TOBN(0x6ea16558, 0xb5532b38),
TOBN(0xd1c69889, 0xa2e96ef7), TOBN(0x9c773c3a, 0x61ed8f48),
TOBN(0x2b653a40, 0x9b323abc), TOBN(0xe26605e1, 0xf0e1d791),
TOBN(0x45d41064, 0x4a87157a), TOBN(0x8f9a78b7, 0xcbbce616),
TOBN(0xcf1e44aa, 0xc407eddd), TOBN(0x81ddd1d8, 0xa35b964f),
TOBN(0x473e339e, 0xfd083999), TOBN(0x6c94bdde, 0x8e796802),
TOBN(0x5a304ada, 0x8545d185), TOBN(0x82ae44ea, 0x738bb8cb),
TOBN(0x628a35e3, 0xdf87e10e), TOBN(0xd3624f3d, 0xa15b9fe3),
TOBN(0xcc44209b, 0x14be4254), TOBN(0x7d0efcbc, 0xbdbc2ea5),
TOBN(0x1f603362, 0x04c37bbe), TOBN(0x21f363f5, 0x56a5852c),
TOBN(0xa1503d1c, 0xa8501550), TOBN(0x2251e0e1, 0xd8ab10bb),
TOBN(0xde129c96, 0x6961c51c), TOBN(0x1f7246a4, 0x81910f68),
TOBN(0x2eb744ee, 0x5f2591f2), TOBN(0x3c47d33f, 0x5e627157),
TOBN(0x4d6d62c9, 0x22f3bd68), TOBN(0x6120a64b, 0xcb8df856),
TOBN(0x3a9ac6c0, 0x7b5d07df), TOBN(0xa92b9558, 0x7ef39783),
TOBN(0xe128a134, 0xab3a9b4f), TOBN(0x41c18807, 0xb1252f05),
TOBN(0xfc7ed089, 0x80ba9b1c), TOBN(0xac8dc6de, 0xc532a9dd),
TOBN(0xbf829cef, 0x55246809), TOBN(0x101b784f, 0x5b4ee80f),
TOBN(0xc09945bb, 0xb6f11603), TOBN(0x57b09dbe, 0x41d2801e),
TOBN(0xfba5202f, 0xa97534a8), TOBN(0x7fd8ae5f, 0xc17b9614),
TOBN(0xa50ba666, 0x78308435), TOBN(0x9572f77c, 0xd3868c4d),
TOBN(0x0cef7bfd, 0x2dd7aab0), TOBN(0xe7958e08, 0x2c7c79ff),
TOBN(0x81262e42, 0x25346689), TOBN(0x716da290, 0xb07c7004),
TOBN(0x35f911ea, 0xb7950ee3), TOBN(0x6fd72969, 0x261d21b5),
TOBN(0x52389803, 0x08b640d3), TOBN(0x5b0026ee, 0x887f12a1),
TOBN(0x20e21660, 0x742e9311), TOBN(0x0ef6d541, 0x5ff77ff7),
TOBN(0x969127f0, 0xf9c41135), TOBN(0xf21d60c9, 0x68a64993),
TOBN(0x656e5d0c, 0xe541875c), TOBN(0xf1e0f84e, 0xa1d3c233),
TOBN(0x9bcca359, 0x06002d60), TOBN(0xbe2da60c, 0x06191552),
TOBN(0x5da8bbae, 0x61181ec3), TOBN(0x9f04b823, 0x65806f19),
TOBN(0xf1604a7d, 0xd4b79bb8), TOBN(0xaee806fb, 0x52c878c8),
TOBN(0x34144f11, 0x8d47b8e8), TOBN(0x72edf52b, 0x949f9054),
TOBN(0xebfca84e, 0x2127015a), TOBN(0x9051d0c0, 0x9cb7cef3),
TOBN(0x86e8fe58, 0x296deec8), TOBN(0x33b28188, 0x41010d74),}
,
{TOBN(0x01079383, 0x171b445f), TOBN(0x9bcf21e3, 0x8131ad4c),
TOBN(0x8cdfe205, 0xc93987e8), TOBN(0xe63f4152, 0xc92e8c8f),
TOBN(0x729462a9, 0x30add43d), TOBN(0x62ebb143, 0xc980f05a),
TOBN(0x4f3954e5, 0x3b06e968), TOBN(0xfe1d75ad, 0x242cf6b1),
TOBN(0x5f95c6c7, 0xaf8685c8), TOBN(0xd4c1c8ce, 0x2f8f01aa),
TOBN(0xc44bbe32, 0x2574692a), TOBN(0xb8003478, 0xd4a4a068),
TOBN(0x7c8fc6e5, 0x2eca3cdb), TOBN(0xea1db16b, 0xec04d399),
TOBN(0xb05bc82e, 0x8f2bc5cf), TOBN(0x763d517f, 0xf44793d2),
TOBN(0x4451c1b8, 0x08bd98d0), TOBN(0x644b1cd4, 0x6575f240),
TOBN(0x6907eb33, 0x7375d270), TOBN(0x56c8bebd, 0xfa2286bd),
TOBN(0xc713d2ac, 0xc4632b46), TOBN(0x17da427a, 0xafd60242),
TOBN(0x313065b7, 0xc95c7546), TOBN(0xf8239898, 0xbf17a3de),
TOBN(0xf3b7963f, 0x4c830320), TOBN(0x842c7aa0, 0x903203e3),
TOBN(0xaf22ca0a, 0xe7327afb), TOBN(0x38e13092, 0x967609b6),
TOBN(0x73b8fb62, 0x757558f1), TOBN(0x3cc3e831, 0xf7eca8c1),
TOBN(0xe4174474, 0xf6331627), TOBN(0xa77989ca, 0xc3c40234),
TOBN(0xe5fd17a1, 0x44a081e0), TOBN(0xd797fb7d, 0xb70e296a),
TOBN(0x2b472b30, 0x481f719c), TOBN(0x0e632a98, 0xfe6f8c52),
TOBN(0x89ccd116, 0xc5f0c284), TOBN(0xf51088af, 0x2d987c62),
TOBN(0x2a2bccda, 0x4c2de6cf), TOBN(0x810f9efe, 0xf679f0f9),
TOBN(0xb0f394b9, 0x7ffe4b3e), TOBN(0x0b691d21, 0xe5fa5d21),
TOBN(0xb0bd7747, 0x9dfbbc75), TOBN(0xd2830fda, 0xfaf78b00),
TOBN(0xf78c249c, 0x52434f57), TOBN(0x4b1f7545, 0x98096dab),
TOBN(0x73bf6f94, 0x8ff8c0b3), TOBN(0x34aef03d, 0x454e134c),
TOBN(0xf8d151f4, 0xb7ac7ec5), TOBN(0xd6ceb95a, 0xe50da7d5),
TOBN(0xa1b492b0, 0xdc3a0eb8), TOBN(0x75157b69, 0xb3dd2863),
TOBN(0xe2c4c74e, 0xc5413d62), TOBN(0xbe329ff7, 0xbc5fc4c7),
TOBN(0x835a2aea, 0x60fa9dda), TOBN(0xf117f5ad, 0x7445cb87),
TOBN(0xae8317f4, 0xb0166f7a), TOBN(0xfbd3e3f7, 0xceec74e6),
TOBN(0xfdb516ac, 0xe0874bfd), TOBN(0x3d846019, 0xc681f3a3),
TOBN(0x0b12ee5c, 0x7c1620b0), TOBN(0xba68b4dd, 0x2b63c501),
TOBN(0xac03cd32, 0x6668c51e), TOBN(0x2a6279f7, 0x4e0bcb5b),
TOBN(0x17bd69b0, 0x6ae85c10), TOBN(0x72946979, 0x1dfdd3a6),
TOBN(0xd9a03268, 0x2c078bec), TOBN(0x41c6a658, 0xbfd68a52),
TOBN(0xcdea1024, 0x0e023900), TOBN(0xbaeec121, 0xb10d144d),
TOBN(0x5a600e74, 0x058ab8dc), TOBN(0x1333af21, 0xbb89ccdd),
TOBN(0xdf25eae0, 0x3aaba1f1), TOBN(0x2cada16e, 0x3b7144cf),
TOBN(0x657ee27d, 0x71ab98bc), TOBN(0x99088b4c, 0x7a6fc96e),
TOBN(0x05d5c0a0, 0x3549dbd4), TOBN(0x42cbdf8f, 0xf158c3ac),
TOBN(0x3fb6b3b0, 0x87edd685), TOBN(0x22071cf6, 0x86f064d0),
TOBN(0xd2d6721f, 0xff2811e5), TOBN(0xdb81b703, 0xfe7fae8c),
TOBN(0x3cfb74ef, 0xd3f1f7bb), TOBN(0x0cdbcd76, 0x16cdeb5d),
TOBN(0x4f39642a, 0x566a808c), TOBN(0x02b74454, 0x340064d6),
TOBN(0xfabbadca, 0x0528fa6f), TOBN(0xe4c3074c, 0xd3fc0bb6),
TOBN(0xb32cb8b0, 0xb796d219), TOBN(0xc3e95f4f, 0x34741dd9),
TOBN(0x87212125, 0x68edf6f5), TOBN(0x7a03aee4, 0xa2b9cb8e),
TOBN(0x0cd3c376, 0xf53a89aa), TOBN(0x0d8af9b1, 0x948a28dc),
TOBN(0xcf86a3f4, 0x902ab04f), TOBN(0x8aacb62a, 0x7f42002d),
TOBN(0x106985eb, 0xf62ffd52), TOBN(0xe670b54e, 0x5797bf10),
TOBN(0x4b405209, 0xc5e30aef), TOBN(0x12c97a20, 0x4365b5e9),
TOBN(0x104646ce, 0x1fe32093), TOBN(0x13cb4ff6, 0x3907a8c9),
TOBN(0x8b9f30d1, 0xd46e726b), TOBN(0xe1985e21, 0xaba0f499),
TOBN(0xc573dea9, 0x10a230cd), TOBN(0x24f46a93, 0xcd30f947),
TOBN(0xf2623fcf, 0xabe2010a), TOBN(0x3f278cb2, 0x73f00e4f),
TOBN(0xed55c67d, 0x50b920eb), TOBN(0xf1cb9a2d, 0x8e760571),
TOBN(0x7c50d109, 0x0895b709), TOBN(0x4207cf07, 0x190d4369),
TOBN(0x3b027e81, 0xc4127fe1), TOBN(0xa9f8b9ad, 0x3ae9c566),
TOBN(0x5ab10851, 0xacbfbba5), TOBN(0xa747d648, 0x569556f5),
TOBN(0xcc172b5c, 0x2ba97bf7), TOBN(0x15e0f77d, 0xbcfa3324),
TOBN(0xa345b797, 0x7686279d), TOBN(0x5a723480, 0xe38003d3),
TOBN(0xfd8e139f, 0x8f5fcda8), TOBN(0xf3e558c4, 0xbdee5bfd),
TOBN(0xd76cbaf4, 0xe33f9f77), TOBN(0x3a4c97a4, 0x71771969),
TOBN(0xda27e84b, 0xf6dce6a7), TOBN(0xff373d96, 0x13e6c2d1),
TOBN(0xf115193c, 0xd759a6e9), TOBN(0x3f9b7025, 0x63d2262c),
TOBN(0xd9764a31, 0x317cd062), TOBN(0x30779d8e, 0x199f8332),
TOBN(0xd8074106, 0x16b11b0b), TOBN(0x7917ab9f, 0x78aeaed8),
TOBN(0xb67a9cbe, 0x28fb1d8e), TOBN(0x2e313563, 0x136eda33),
TOBN(0x010b7069, 0xa371a86c), TOBN(0x44d90fa2, 0x6744e6b7),
TOBN(0x68190867, 0xd6b3e243), TOBN(0x9fe6cd9d, 0x59048c48),
TOBN(0xb900b028, 0x95731538), TOBN(0xa012062f, 0x32cae04f),
TOBN(0x8107c8bc, 0x9399d082), TOBN(0x47e8c54a, 0x41df12e2),
TOBN(0x14ba5117, 0xb6ef3f73), TOBN(0x22260bea, 0x81362f0b),
TOBN(0x90ea261e, 0x1a18cc20), TOBN(0x2192999f, 0x2321d636),
TOBN(0xef64d314, 0xe311b6a0), TOBN(0xd7401e4c, 0x3b54a1f5),
TOBN(0x19019983, 0x6fbca2ba), TOBN(0x46ad3293, 0x8fbffc4b),
TOBN(0xa142d3f6, 0x3786bf40), TOBN(0xeb5cbc26, 0xb67039fc),
TOBN(0x9cb0ae6c, 0x252bd479), TOBN(0x05e0f88a, 0x12b5848f),
TOBN(0x78f6d2b2, 0xa5c97663), TOBN(0x6f6e149b, 0xc162225c),
TOBN(0xe602235c, 0xde601a89), TOBN(0xd17bbe98, 0xf373be1f),
TOBN(0xcaf49a5b, 0xa8471827), TOBN(0x7e1a0a85, 0x18aaa116),
TOBN(0x6c833196, 0x270580c3), TOBN(0x1e233839, 0xf1c98a14),
TOBN(0x67b2f7b4, 0xae34e0a5), TOBN(0x47ac8745, 0xd8ce7289),
TOBN(0x2b74779a, 0x100dd467), TOBN(0x274a4337, 0x4ee50d09),
TOBN(0x603dcf13, 0x83608bc9), TOBN(0xcd9da6c3, 0xc89e8388),
TOBN(0x2660199f, 0x355116ac), TOBN(0xcc38bb59, 0xb6d18eed),
TOBN(0x3075f31f, 0x2f4bc071), TOBN(0x9774457f, 0x265dc57e),
TOBN(0x06a6a9c8, 0xc6db88bb), TOBN(0x6429d07f, 0x4ec98e04),
TOBN(0x8d05e57b, 0x05ecaa8b), TOBN(0x20f140b1, 0x7872ea7b),
TOBN(0xdf8c0f09, 0xca494693), TOBN(0x48d3a020, 0xf252e909),
TOBN(0x4c5c29af, 0x57b14b12), TOBN(0x7e6fa37d, 0xbf47ad1c),
TOBN(0x66e7b506, 0x49a0c938), TOBN(0xb72c0d48, 0x6be5f41f),
TOBN(0x6a6242b8, 0xb2359412), TOBN(0xcd35c774, 0x8e859480),
TOBN(0x12536fea, 0x87baa627), TOBN(0x58c1fec1, 0xf72aa680),
TOBN(0x6c29b637, 0x601e5dc9), TOBN(0x9e3c3c1c, 0xde9e01b9),
TOBN(0xefc8127b, 0x2bcfe0b0), TOBN(0x35107102, 0x2a12f50d),
TOBN(0x6ccd6cb1, 0x4879b397), TOBN(0xf792f804, 0xf8a82f21),
TOBN(0x509d4804, 0xa9b46402), TOBN(0xedddf85d, 0xc10f0850),
TOBN(0x928410dc, 0x4b6208aa), TOBN(0xf6229c46, 0x391012dc),
TOBN(0xc5a7c41e, 0x7727b9b6), TOBN(0x289e4e4b, 0xaa444842),
TOBN(0x049ba1d9, 0xe9a947ea), TOBN(0x44f9e47f, 0x83c8debc),
TOBN(0xfa77a1fe, 0x611f8b8e), TOBN(0xfd2e416a, 0xf518f427),
TOBN(0xc5fffa70, 0x114ebac3), TOBN(0xfe57c4e9, 0x5d89697b),
TOBN(0xfdd053ac, 0xb1aaf613), TOBN(0x31df210f, 0xea585a45),
TOBN(0x318cc10e, 0x24985034), TOBN(0x1a38efd1, 0x5f1d6130),
TOBN(0xbf86f237, 0x0b1e9e21), TOBN(0xb258514d, 0x1dbe88aa),
TOBN(0x1e38a588, 0x90c1baf9), TOBN(0x2936a01e, 0xbdb9b692),
TOBN(0xd576de98, 0x6dd5b20c), TOBN(0xb586bf71, 0x70f98ecf),
TOBN(0xcccf0f12, 0xc42d2fd7), TOBN(0x8717e61c, 0xfb35bd7b),
TOBN(0x8b1e5722, 0x35e6fc06), TOBN(0x3477728f, 0x0b3e13d5),
TOBN(0x150c294d, 0xaa8a7372), TOBN(0xc0291d43, 0x3bfa528a),
TOBN(0xc6c8bc67, 0xcec5a196), TOBN(0xdeeb31e4, 0x5c2e8a7c),
TOBN(0xba93e244, 0xfb6e1c51), TOBN(0xb9f8b71b, 0x2e28e156),
TOBN(0xce65a287, 0x968a2ab9), TOBN(0xe3c5ce69, 0x46bbcb1f),
TOBN(0xf8c835b9, 0xe7ae3f30), TOBN(0x16bbee26, 0xff72b82b),
TOBN(0x665e2017, 0xfd42cd22), TOBN(0x1e139970, 0xf8b1d2a0),
TOBN(0x125cda29, 0x79204932), TOBN(0x7aee94a5, 0x49c3bee5),
TOBN(0x68c70160, 0x89821a66), TOBN(0xf7c37678, 0x8f981669),
TOBN(0xd90829fc, 0x48cc3645), TOBN(0x346af049, 0xd70addfc),
TOBN(0x2057b232, 0x370bf29c), TOBN(0xf90c73ce, 0x42e650ee),
TOBN(0xe03386ea, 0xa126ab90), TOBN(0x0e266e7e, 0x975a087b),
TOBN(0x80578eb9, 0x0fca65d9), TOBN(0x7e2989ea, 0x16af45b8),
TOBN(0x7438212d, 0xcac75a4e), TOBN(0x38c7ca39, 0x4fef36b8),
TOBN(0x8650c494, 0xd402676a), TOBN(0x26ab5a66, 0xf72c7c48),
TOBN(0x4e6cb426, 0xce3a464e), TOBN(0xf8f99896, 0x2b72f841),
TOBN(0x8c318491, 0x1a335cc8), TOBN(0x563459ba, 0x6a5913e4),
TOBN(0x1b920d61, 0xc7b32919), TOBN(0x805ab8b6, 0xa02425ad),
TOBN(0x2ac512da, 0x8d006086), TOBN(0x6ca4846a, 0xbcf5c0fd),
TOBN(0xafea51d8, 0xac2138d7), TOBN(0xcb647545, 0x344cd443),
TOBN(0x0429ee8f, 0xbd7d9040), TOBN(0xee66a2de, 0x819b9c96),
TOBN(0x54f9ec25, 0xdea7d744), TOBN(0x2ffea642, 0x671721bb),
TOBN(0x4f19dbd1, 0x114344ea), TOBN(0x04304536, 0xfd0dbc8b),
TOBN(0x014b50aa, 0x29ec7f91), TOBN(0xb5fc22fe, 0xbb06014d),
TOBN(0x60d963a9, 0x1ee682e0), TOBN(0xdf48abc0, 0xfe85c727),
TOBN(0x0cadba13, 0x2e707c2d), TOBN(0xde608d3a, 0xa645aeff),
TOBN(0x05f1c28b, 0xedafd883), TOBN(0x3c362ede, 0xbd94de1f),
TOBN(0x8dd0629d, 0x13593e41), TOBN(0x0a5e736f, 0x766d6eaf),
TOBN(0xbfa92311, 0xf68cf9d1), TOBN(0xa4f9ef87, 0xc1797556),
TOBN(0x10d75a1f, 0x5601c209), TOBN(0x651c374c, 0x09b07361),
TOBN(0x49950b58, 0x88b5cead), TOBN(0x0ef00058, 0x6fa9dbaa),
TOBN(0xf51ddc26, 0x4e15f33a), TOBN(0x1f8b5ca6, 0x2ef46140),
TOBN(0x343ac0a3, 0xee9523f0), TOBN(0xbb75eab2, 0x975ea978),
TOBN(0x1bccf332, 0x107387f4), TOBN(0x790f9259, 0x9ab0062e),
TOBN(0xf1a363ad, 0x1e4f6a5f), TOBN(0x06e08b84, 0x62519a50),
TOBN(0x60915187, 0x7265f1ee), TOBN(0x6a80ca34, 0x93ae985e),
TOBN(0x81b29768, 0xaaba4864), TOBN(0xb13cabf2, 0x8d52a7d6),
TOBN(0xb5c36348, 0x8ead03f1), TOBN(0xc932ad95, 0x81c7c1c0),
TOBN(0x5452708e, 0xcae1e27b), TOBN(0x9dac4269, 0x1b0df648),
TOBN(0x233e3f0c, 0xdfcdb8bc), TOBN(0xe6ceccdf, 0xec540174),
TOBN(0xbd0d845e, 0x95081181), TOBN(0xcc8a7920, 0x699355d5),
TOBN(0x111c0f6d, 0xc3b375a8), TOBN(0xfd95bc6b, 0xfd51e0dc),
TOBN(0x4a106a26, 0x6888523a), TOBN(0x4d142bd6, 0xcb01a06d),
TOBN(0x79bfd289, 0xadb9b397), TOBN(0x0bdbfb94, 0xe9863914),
TOBN(0x29d8a229, 0x1660f6a6), TOBN(0x7f6abcd6, 0x551c042d),
TOBN(0x13039deb, 0x0ac3ffe8), TOBN(0xa01be628, 0xec8523fb),
TOBN(0x6ea34103, 0x0ca1c328), TOBN(0xc74114bd, 0xb903928e),
TOBN(0x8aa4ff4e, 0x9e9144b0), TOBN(0x7064091f, 0x7f9a4b17),
TOBN(0xa3f4f521, 0xe447f2c4), TOBN(0x81b8da7a, 0x604291f0),
TOBN(0xd680bc46, 0x7d5926de), TOBN(0x84f21fd5, 0x34a1202f),
TOBN(0x1d1e3181, 0x4e9df3d8), TOBN(0x1ca4861a, 0x39ab8d34),
TOBN(0x809ddeec, 0x5b19aa4a), TOBN(0x59f72f7e, 0x4d329366),
TOBN(0xa2f93f41, 0x386d5087), TOBN(0x40bf739c, 0xdd67d64f),
TOBN(0xb4494205, 0x66702158), TOBN(0xc33c65be, 0x73b1e178),
TOBN(0xcdcd657c, 0x38ca6153), TOBN(0x97f4519a, 0xdc791976),
TOBN(0xcc7c7f29, 0xcd6e1f39), TOBN(0x38de9cfb, 0x7e3c3932),
TOBN(0xe448eba3, 0x7b793f85), TOBN(0xe9f8dbf9, 0xf067e914),
TOBN(0xc0390266, 0xf114ae87), TOBN(0x39ed75a7, 0xcd6a8e2a),
TOBN(0xadb14848, 0x7ffba390), TOBN(0x67f8cb8b, 0x6af9bc09),
TOBN(0x322c3848, 0x9c7476db), TOBN(0xa320fecf, 0x52a538d6),
TOBN(0xe0493002, 0xb2aced2b), TOBN(0xdfba1809, 0x616bd430),
TOBN(0x531c4644, 0xc331be70), TOBN(0xbc04d32e, 0x90d2e450),
TOBN(0x1805a0d1, 0x0f9f142d), TOBN(0x2c44a0c5, 0x47ee5a23),
TOBN(0x31875a43, 0x3989b4e3), TOBN(0x6b1949fd, 0x0c063481),
TOBN(0x2dfb9e08, 0xbe0f4492), TOBN(0x3ff0da03, 0xe9d5e517),
TOBN(0x03dbe9a1, 0xf79466a8), TOBN(0x0b87bcd0, 0x15ea9932),
TOBN(0xeb64fc83, 0xab1f58ab), TOBN(0x6d9598da, 0x817edc8a),
TOBN(0x699cff66, 0x1d3b67e5), TOBN(0x645c0f29, 0x92635853),
TOBN(0x253cdd82, 0xeabaf21c), TOBN(0x82b9602a, 0x2241659e),
TOBN(0x2cae07ec, 0x2d9f7091), TOBN(0xbe4c720c, 0x8b48cd9b),
TOBN(0x6ce5bc03, 0x6f08d6c9), TOBN(0x36e8a997, 0xaf10bf40),
TOBN(0x83422d21, 0x3e10ff12), TOBN(0x7b26d3eb, 0xbcc12494),
TOBN(0xb240d2d0, 0xc9469ad6), TOBN(0xc4a11b4d, 0x30afa05b),
TOBN(0x4b604ace, 0xdd6ba286), TOBN(0x18486600, 0x3ee2864c),
TOBN(0x5869d6ba, 0x8d9ce5be), TOBN(0x0d8f68c5, 0xff4bfb0d),
TOBN(0xb69f210b, 0x5700cf73), TOBN(0x61f6653a, 0x6d37c135),
TOBN(0xff3d432b, 0x5aff5a48), TOBN(0x0d81c4b9, 0x72ba3a69),
TOBN(0xee879ae9, 0xfa1899ef), TOBN(0xbac7e2a0, 0x2d6acafd),
TOBN(0xd6d93f6c, 0x1c664399), TOBN(0x4c288de1, 0x5bcb135d),
TOBN(0x83031dab, 0x9dab7cbf), TOBN(0xfe23feb0, 0x3abbf5f0),
TOBN(0x9f1b2466, 0xcdedca85), TOBN(0x140bb710, 0x1a09538c),
TOBN(0xac8ae851, 0x5e11115d), TOBN(0x0d63ff67, 0x6f03f59e),
TOBN(0x755e5551, 0x7d234afb), TOBN(0x61c2db4e, 0x7e208fc1),
TOBN(0xaa9859ce, 0xf28a4b5d), TOBN(0xbdd6d4fc, 0x34af030f),
TOBN(0xd1c4a26d, 0x3be01cb1), TOBN(0x9ba14ffc, 0x243aa07c),
TOBN(0xf95cd3a9, 0xb2503502), TOBN(0xe379bc06, 0x7d2a93ab),
TOBN(0x3efc18e9, 0xd4ca8d68), TOBN(0x083558ec, 0x80bb412a),
TOBN(0xd903b940, 0x9645a968), TOBN(0xa499f0b6, 0x9ba6054f),
TOBN(0x208b573c, 0xb8349abe), TOBN(0x3baab3e5, 0x30b4fc1c),
TOBN(0x87e978ba, 0xcb524990), TOBN(0x3524194e, 0xccdf0e80),
TOBN(0x62711725, 0x7d4bcc42), TOBN(0xe90a3d9b, 0xb90109ba),
TOBN(0x3b1bdd57, 0x1323e1e0), TOBN(0xb78e9bd5, 0x5eae1599),
TOBN(0x0794b746, 0x9e03d278), TOBN(0x80178605, 0xd70e6297),
TOBN(0x171792f8, 0x99c97855), TOBN(0x11b393ee, 0xf5a86b5c),
TOBN(0x48ef6582, 0xd8884f27), TOBN(0xbd44737a, 0xbf19ba5f),
TOBN(0x8698de4c, 0xa42062c6), TOBN(0x8975eb80, 0x61ce9c54),
TOBN(0xd50e57c7, 0xd7fe71f3), TOBN(0x15342190, 0xbc97ce38),
TOBN(0x51bda2de, 0x4df07b63), TOBN(0xba12aeae, 0x200eb87d),
TOBN(0xabe135d2, 0xa9b4f8f6), TOBN(0x04619d65, 0xfad6d99c),
TOBN(0x4a6683a7, 0x7994937c), TOBN(0x7a778c8b, 0x6f94f09a),
TOBN(0x8c508623, 0x20a71b89), TOBN(0x241a2aed, 0x1c229165),
TOBN(0x352be595, 0xaaf83a99), TOBN(0x9fbfee7f, 0x1562bac8),
TOBN(0xeaf658b9, 0x5c4017e3), TOBN(0x1dc7f9e0, 0x15120b86),
TOBN(0xd84f13dd, 0x4c034d6f), TOBN(0x283dd737, 0xeaea3038),
TOBN(0x197f2609, 0xcd85d6a2), TOBN(0x6ebbc345, 0xfae60177),
TOBN(0xb80f031b, 0x4e12fede), TOBN(0xde55d0c2, 0x07a2186b),
TOBN(0x1fb3e37f, 0x24dcdd5a), TOBN(0x8d602da5, 0x7ed191fb),
TOBN(0x108fb056, 0x76023e0d), TOBN(0x70178c71, 0x459c20c0),
TOBN(0xfad5a386, 0x3fe54cf0), TOBN(0xa4a3ec4f, 0x02bbb475),
TOBN(0x1aa5ec20, 0x919d94d7), TOBN(0x5d3b63b5, 0xa81e4ab3),
TOBN(0x7fa733d8, 0x5ad3d2af), TOBN(0xfbc586dd, 0xd1ac7a37),
TOBN(0x282925de, 0x40779614), TOBN(0xfe0ffffb, 0xe74a242a),
TOBN(0x3f39e67f, 0x906151e5), TOBN(0xcea27f5f, 0x55e10649),
TOBN(0xdca1d4e1, 0xc17cf7b7), TOBN(0x0c326d12, 0x2fe2362d),
TOBN(0x05f7ac33, 0x7dd35df3), TOBN(0x0c3b7639, 0xc396dbdf),
TOBN(0x0912f5ac, 0x03b7db1c), TOBN(0x9dea4b70, 0x5c9ed4a9),
TOBN(0x475e6e53, 0xaae3f639), TOBN(0xfaba0e7c, 0xfc278bac),
TOBN(0x16f9e221, 0x9490375f), TOBN(0xaebf9746, 0xa5a7ed0a),
TOBN(0x45f9af3f, 0xf41ad5d6), TOBN(0x03c4623c, 0xb2e99224),
TOBN(0x82c5bb5c, 0xb3cf56aa), TOBN(0x64311819, 0x34567ed3),
TOBN(0xec57f211, 0x8be489ac), TOBN(0x2821895d, 0xb9a1104b),
TOBN(0x610dc875, 0x6064e007), TOBN(0x8e526f3f, 0x5b20d0fe),
TOBN(0x6e71ca77, 0x5b645aee), TOBN(0x3d1dcb9f, 0x800e10ff),
TOBN(0x36b51162, 0x189cf6de), TOBN(0x2c5a3e30, 0x6bb17353),
TOBN(0xc186cd3e, 0x2a6c6fbf), TOBN(0xa74516fa, 0x4bf97906),
TOBN(0x5b4b8f4b, 0x279d6901), TOBN(0x0c4e57b4, 0x2b573743),
TOBN(0x75fdb229, 0xb6e386b6), TOBN(0xb46793fd, 0x99deac27),
TOBN(0xeeec47ea, 0xcf712629), TOBN(0xe965f3c4, 0xcbc3b2dd),
TOBN(0x8dd1fb83, 0x425c6559), TOBN(0x7fc00ee6, 0x0af06fda),
TOBN(0xe98c9225, 0x33d956df), TOBN(0x0f1ef335, 0x4fbdc8a2),
TOBN(0x2abb5145, 0xb79b8ea2), TOBN(0x40fd2945, 0xbdbff288),
TOBN(0x6a814ac4, 0xd7185db7), TOBN(0xc4329d6f, 0xc084609a),
TOBN(0xc9ba7b52, 0xed1be45d), TOBN(0x891dd20d, 0xe4cd2c74),
TOBN(0x5a4d4a7f, 0x824139b1), TOBN(0x66c17716, 0xb873c710),
TOBN(0x5e5bc141, 0x2843c4e0), TOBN(0xd5ac4817, 0xb97eb5bf),
TOBN(0xc0f8af54, 0x450c95c7), TOBN(0xc91b3fa0, 0x318406c5),
TOBN(0x360c340a, 0xab9d97f8), TOBN(0xfb57bd07, 0x90a2d611),
TOBN(0x4339ae3c, 0xa6a6f7e5), TOBN(0x9c1fcd2a, 0x2feb8a10),
TOBN(0x972bcca9, 0xc7ea7432), TOBN(0x1b0b924c, 0x308076f6),
TOBN(0x80b2814a, 0x2a5b4ca5), TOBN(0x2f78f55b, 0x61ef3b29),
TOBN(0xf838744a, 0xc18a414f), TOBN(0xc611eaae, 0x903d0a86),
TOBN(0x94dabc16, 0x2a453f55), TOBN(0xe6f2e3da, 0x14efb279),
TOBN(0x5b7a6017, 0x9320dc3c), TOBN(0x692e382f, 0x8df6b5a4),
TOBN(0x3f5e15e0, 0x2d40fa90), TOBN(0xc87883ae, 0x643dd318),
TOBN(0x511053e4, 0x53544774), TOBN(0x834d0ecc, 0x3adba2bc),
TOBN(0x4215d7f7, 0xbae371f5), TOBN(0xfcfd57bf, 0x6c8663bc),
TOBN(0xded2383d, 0xd6901b1d), TOBN(0x3b49fbb4, 0xb5587dc3),
TOBN(0xfd44a08d, 0x07625f62), TOBN(0x3ee4d65b, 0x9de9b762),}
,
{TOBN(0x64e5137d, 0x0d63d1fa), TOBN(0x658fc052, 0x02a9d89f),
TOBN(0x48894874, 0x50436309), TOBN(0xe9ae30f8, 0xd598da61),
TOBN(0x2ed710d1, 0x818baf91), TOBN(0xe27e9e06, 0x8b6a0c20),
TOBN(0x1e28dcfb, 0x1c1a6b44), TOBN(0x883acb64, 0xd6ac57dc),
TOBN(0x8735728d, 0xc2c6ff70), TOBN(0x79d6122f, 0xc5dc2235),
TOBN(0x23f5d003, 0x19e277f9), TOBN(0x7ee84e25, 0xdded8cc7),
TOBN(0x91a8afb0, 0x63cd880a), TOBN(0x3f3ea7c6, 0x3574af60),
TOBN(0x0cfcdc84, 0x02de7f42), TOBN(0x62d0792f, 0xb31aa152),
TOBN(0x8e1b4e43, 0x8a5807ce), TOBN(0xad283893, 0xe4109a7e),
TOBN(0xc30cc9cb, 0xafd59dda), TOBN(0xf65f36c6, 0x3d8d8093),
TOBN(0xdf31469e, 0xa60d32b2), TOBN(0xee93df4b, 0x3e8191c8),
TOBN(0x9c1017c5, 0x355bdeb5), TOBN(0xd2623185, 0x8616aa28),
TOBN(0xb02c83f9, 0xdec31a21), TOBN(0x988c8b23, 0x6ad9d573),
TOBN(0x53e983ae, 0xa57be365), TOBN(0xe968734d, 0x646f834e),
TOBN(0x9137ea8f, 0x5da6309b), TOBN(0x10f3a624, 0xc1f1ce16),
TOBN(0x782a9ea2, 0xca440921), TOBN(0xdf94739e, 0x5b46f1b5),
TOBN(0x9f9be006, 0xcce85c9b), TOBN(0x360e70d6, 0xa4c7c2d3),
TOBN(0x2cd5beea, 0xaefa1e60), TOBN(0x64cf63c0, 0x8c3d2b6d),
TOBN(0xfb107fa3, 0xe1cf6f90), TOBN(0xb7e937c6, 0xd5e044e6),
TOBN(0x74e8ca78, 0xce34db9f), TOBN(0x4f8b36c1, 0x3e210bd0),
TOBN(0x1df165a4, 0x34a35ea8), TOBN(0x3418e0f7, 0x4d4412f6),
TOBN(0x5af1f8af, 0x518836c3), TOBN(0x42ceef4d, 0x130e1965),
TOBN(0x5560ca0b, 0x543a1957), TOBN(0xc33761e5, 0x886cb123),
TOBN(0x66624b1f, 0xfe98ed30), TOBN(0xf772f4bf, 0x1090997d),
TOBN(0xf4e540bb, 0x4885d410), TOBN(0x7287f810, 0x9ba5f8d7),
TOBN(0x22d0d865, 0xde98dfb1), TOBN(0x49ff51a1, 0xbcfbb8a3),
TOBN(0xb6b6fa53, 0x6bc3012e), TOBN(0x3d31fd72, 0x170d541d),
TOBN(0x8018724f, 0x4b0f4966), TOBN(0x79e7399f, 0x87dbde07),
TOBN(0x56f8410e, 0xf4f8b16a), TOBN(0x97241afe, 0xc47b266a),
TOBN(0x0a406b8e, 0x6d9c87c1), TOBN(0x803f3e02, 0xcd42ab1b),
TOBN(0x7f0309a8, 0x04dbec69), TOBN(0xa83b85f7, 0x3bbad05f),
TOBN(0xc6097273, 0xad8e197f), TOBN(0xc097440e, 0x5067adc1),
TOBN(0x730eafb6, 0x3524ff16), TOBN(0xd7f9b51e, 0x823fc6ce),
TOBN(0x27bd0d32, 0x443e4ac0), TOBN(0x40c59ad9, 0x4d66f217),
TOBN(0x6c33136f, 0x17c387a4), TOBN(0x5043b8d5, 0xeb86804d),
TOBN(0x74970312, 0x675a73c9), TOBN(0x838fdb31, 0xf16669b6),
TOBN(0xc507b6dd, 0x418e7ddd), TOBN(0x39888d93, 0x472f19d6),
TOBN(0x7eae26be, 0x0c27eb4d), TOBN(0x17b53ed3, 0xfbabb884),
TOBN(0xfc27021b, 0x2b01ae4f), TOBN(0x88462e87, 0xcf488682),
TOBN(0xbee096ec, 0x215e2d87), TOBN(0xeb2fea9a, 0xd242e29b),
TOBN(0x5d985b5f, 0xb821fc28), TOBN(0x89d2e197, 0xdc1e2ad2),
TOBN(0x55b566b8, 0x9030ba62), TOBN(0xe3fd41b5, 0x4f41b1c6),
TOBN(0xb738ac2e, 0xb9a96d61), TOBN(0x7f8567ca, 0x369443f4),
TOBN(0x8698622d, 0xf803a440), TOBN(0x2b586236, 0x8fe2f4dc),
TOBN(0xbbcc00c7, 0x56b95bce), TOBN(0x5ec03906, 0x616da680),
TOBN(0x79162ee6, 0x72214252), TOBN(0x43132b63, 0x86a892d2),
TOBN(0x4bdd3ff2, 0x2f3263bf), TOBN(0xd5b3733c, 0x9cd0a142),
TOBN(0x592eaa82, 0x44415ccb), TOBN(0x663e8924, 0x8d5474ea),
TOBN(0x8058a25e, 0x5236344e), TOBN(0x82e8df9d, 0xbda76ee6),
TOBN(0xdcf6efd8, 0x11cc3d22), TOBN(0x00089cda, 0x3b4ab529),
TOBN(0x91d3a071, 0xbd38a3db), TOBN(0x4ea97fc0, 0xef72b925),
TOBN(0x0c9fc15b, 0xea3edf75), TOBN(0x5a6297cd, 0xa4348ed3),
TOBN(0x0d38ab35, 0xce7c42d4), TOBN(0x9fd493ef, 0x82feab10),
TOBN(0x46056b6d, 0x82111b45), TOBN(0xda11dae1, 0x73efc5c3),
TOBN(0xdc740278, 0x5545a7fb), TOBN(0xbdb2601c, 0x40d507e6),
TOBN(0x121dfeeb, 0x7066fa58), TOBN(0x214369a8, 0x39ae8c2a),
TOBN(0x195709cb, 0x06e0956c), TOBN(0x4c9d254f, 0x010cd34b),
TOBN(0xf51e13f7, 0x0471a532), TOBN(0xe19d6791, 0x1e73054d),
TOBN(0xf702a628, 0xdb5c7be3), TOBN(0xc7141218, 0xb24dde05),
TOBN(0xdc18233c, 0xf29b2e2e), TOBN(0x3a6bd1e8, 0x85342dba),
TOBN(0x3f747fa0, 0xb311898c), TOBN(0xe2a272e4, 0xcd0eac65),
TOBN(0x4bba5851, 0xf914d0bc), TOBN(0x7a1a9660, 0xc4a43ee3),
TOBN(0xe5a367ce, 0xa1c8cde9), TOBN(0x9d958ba9, 0x7271abe3),
TOBN(0xf3ff7eb6, 0x3d1615cd), TOBN(0xa2280dce, 0xf5ae20b0),
TOBN(0x56dba5c1, 0xcf640147), TOBN(0xea5a2e3d, 0x5e83d118),
TOBN(0x04cd6b6d, 0xda24c511), TOBN(0x1c0f4671, 0xe854d214),
TOBN(0x91a6b7a9, 0x69565381), TOBN(0xdc966240, 0xdecf1f5b),
TOBN(0x1b22d21c, 0xfcf5d009), TOBN(0x2a05f641, 0x9021dbd5),
TOBN(0x8c0ed566, 0xd4312483), TOBN(0x5179a95d, 0x643e216f),
TOBN(0xcc185fec, 0x17044493), TOBN(0xb3063339, 0x54991a21),
TOBN(0xd801ecdb, 0x0081a726), TOBN(0x0149b0c6, 0x4fa89bbb),
TOBN(0xafe9065a, 0x4391b6b9), TOBN(0xedc92786, 0xd633f3a3),
TOBN(0xe408c24a, 0xae6a8e13), TOBN(0x85833fde, 0x9f3897ab),
TOBN(0x43800e7e, 0xd81a0715), TOBN(0xde08e346, 0xb44ffc5f),
TOBN(0x7094184c, 0xcdeff2e0), TOBN(0x49f9387b, 0x165eaed1),
TOBN(0x635d6129, 0x777c468a), TOBN(0x8c0dcfd1, 0x538c2dd8),
TOBN(0xd6d9d9e3, 0x7a6a308b), TOBN(0x62375830, 0x4c2767d3),
TOBN(0x874a8bc6, 0xf38cbeb6), TOBN(0xd94d3f1a, 0xccb6fd9e),
TOBN(0x92a9735b, 0xba21f248), TOBN(0x272ad0e5, 0x6cd1efb0),
TOBN(0x7437b69c, 0x05b03284), TOBN(0xe7f04702, 0x6948c225),
TOBN(0x8a56c04a, 0xcba2ecec), TOBN(0x0c181270, 0xe3a73e41),
TOBN(0x6cb34e9d, 0x03e93725), TOBN(0xf77c8713, 0x496521a9),
TOBN(0x94569183, 0xfa7f9f90), TOBN(0xf2e7aa4c, 0x8c9707ad),
TOBN(0xced2c9ba, 0x26c1c9a3), TOBN(0x9109fe96, 0x40197507),
TOBN(0x9ae868a9, 0xe9adfe1c), TOBN(0x3984403d, 0x314e39bb),
TOBN(0xb5875720, 0xf2fe378f), TOBN(0x33f901e0, 0xba44a628),
TOBN(0xea1125fe, 0x3652438c), TOBN(0xae9ec4e6, 0x9dd1f20b),
TOBN(0x1e740d9e, 0xbebf7fbd), TOBN(0x6dbd3ddc, 0x42dbe79c),
TOBN(0x62082aec, 0xedd36776), TOBN(0xf612c478, 0xe9859039),
TOBN(0xa493b201, 0x032f7065), TOBN(0xebd4d8f2, 0x4ff9b211),
TOBN(0x3f23a0aa, 0xaac4cb32), TOBN(0xea3aadb7, 0x15ed4005),
TOBN(0xacf17ea4, 0xafa27e63), TOBN(0x56125c1a, 0xc11fd66c),
TOBN(0x266344a4, 0x3794f8dc), TOBN(0xdcca923a, 0x483c5c36),
TOBN(0x2d6b6bbf, 0x3f9d10a0), TOBN(0xb320c5ca, 0x81d9bdf3),
TOBN(0x620e28ff, 0x47b50a95), TOBN(0x933e3b01, 0xcef03371),
TOBN(0xf081bf85, 0x99100153), TOBN(0x183be9a0, 0xc3a8c8d6),
TOBN(0x4e3ddc5a, 0xd6bbe24d), TOBN(0xc6c74630, 0x53843795),
TOBN(0x78193dd7, 0x65ec2d4c), TOBN(0xb8df26cc, 0xcd3c89b2),
TOBN(0x98dbe399, 0x5a483f8d), TOBN(0x72d8a957, 0x7dd3313a),
TOBN(0x65087294, 0xab0bd375), TOBN(0xfcd89248, 0x7c259d16),
TOBN(0x8a9443d7, 0x7613aa81), TOBN(0x80100800, 0x85fe6584),
TOBN(0x70fc4dbc, 0x7fb10288), TOBN(0xf58280d3, 0xe86beee8),
TOBN(0x14fdd82f, 0x7c978c38), TOBN(0xdf1204c1, 0x0de44d7b),
TOBN(0xa08a1c84, 0x4160252f), TOBN(0x591554ca, 0xc17646a5),
TOBN(0x214a37d6, 0xa05bd525), TOBN(0x48d5f09b, 0x07957b3c),
TOBN(0x0247cdcb, 0xd7109bc9), TOBN(0x40f9e4bb, 0x30599ce7),
TOBN(0xc325fa03, 0xf46ad2ec), TOBN(0x00f766cf, 0xc3e3f9ee),
TOBN(0xab556668, 0xd43a4577), TOBN(0x68d30a61, 0x3ee03b93),
TOBN(0x7ddc81ea, 0x77b46a08), TOBN(0xcf5a6477, 0xc7480699),
TOBN(0x43a8cb34, 0x6633f683), TOBN(0x1b867e6b, 0x92363c60),
TOBN(0x43921114, 0x1f60558e), TOBN(0xcdbcdd63, 0x2f41450e),
TOBN(0x7fc04601, 0xcc630e8b), TOBN(0xea7c66d5, 0x97038b43),
TOBN(0x7259b8a5, 0x04e99fd8), TOBN(0x98a8dd12, 0x4785549a),
TOBN(0x0e459a7c, 0x840552e1), TOBN(0xcdfcf4d0, 0x4bb0909e),
TOBN(0x34a86db2, 0x53758da7), TOBN(0xe643bb83, 0xeac997e1),
TOBN(0x96400bd7, 0x530c5b7e), TOBN(0x9f97af87, 0xb41c8b52),
TOBN(0x34fc8820, 0xfbeee3f9), TOBN(0x93e53490, 0x49091afd),
TOBN(0x764b9be5, 0x9a31f35c), TOBN(0x71f37864, 0x57e3d924),
TOBN(0x02fb34e0, 0x943aa75e), TOBN(0xa18c9c58, 0xab8ff6e4),
TOBN(0x080f31b1, 0x33cf0d19), TOBN(0x5c9682db, 0x083518a7),
TOBN(0x873d4ca6, 0xb709c3de), TOBN(0x64a84262, 0x3575b8f0),
TOBN(0x6275da1f, 0x020154bb), TOBN(0x97678caa, 0xd17cf1ab),
TOBN(0x8779795f, 0x951a95c3), TOBN(0xdd35b163, 0x50fccc08),
TOBN(0x32709627, 0x33d8f031), TOBN(0x3c5ab10a, 0x498dd85c),
TOBN(0xb6c185c3, 0x41dca566), TOBN(0x7de7feda, 0xd8622aa3),
TOBN(0x99e84d92, 0x901b6dfb), TOBN(0x30a02b0e, 0x7c4ad288),
TOBN(0xc7c81daa, 0x2fd3cf36), TOBN(0xd1319547, 0xdf89e59f),
TOBN(0xb2be8184, 0xcd496733), TOBN(0xd5f449eb, 0x93d3412b),
TOBN(0x7ea41b1b, 0x25fe531d), TOBN(0xf9797432, 0x6a1d5646),
TOBN(0x86067f72, 0x2bde501a), TOBN(0xf91481c0, 0x0c85e89c),
TOBN(0xca8ee465, 0xf8b05bc6), TOBN(0x1844e1cf, 0x02e83cda),
TOBN(0xca82114a, 0xb4dbe33b), TOBN(0x0f9f8769, 0x4eabfde2),
TOBN(0x4936b1c0, 0x38b27fe2), TOBN(0x63b6359b, 0xaba402df),
TOBN(0x40c0ea2f, 0x656bdbab), TOBN(0x9c992a89, 0x6580c39c),
TOBN(0x600e8f15, 0x2a60aed1), TOBN(0xeb089ca4, 0xe0bf49df),
TOBN(0x9c233d7d, 0x2d42d99a), TOBN(0x648d3f95, 0x4c6bc2fa),
TOBN(0xdcc383a8, 0xe1add3f3), TOBN(0xf42c0c6a, 0x4f64a348),
TOBN(0x2abd176f, 0x0030dbdb), TOBN(0x4de501a3, 0x7d6c215e),
TOBN(0x4a107c1f, 0x4b9a64bc), TOBN(0xa77f0ad3, 0x2496cd59),
TOBN(0xfb78ac62, 0x7688dffb), TOBN(0x7025a2ca, 0x67937d8e),
TOBN(0xfde8b2d1, 0xd1a8f4e7), TOBN(0xf5b3da47, 0x7354927c),
TOBN(0xe48606a3, 0xd9205735), TOBN(0xac477cc6, 0xe177b917),
TOBN(0xfb1f73d2, 0xa883239a), TOBN(0xe12572f6, 0xcc8b8357),
TOBN(0x9d355e9c, 0xfb1f4f86), TOBN(0x89b795f8, 0xd9f3ec6e),
TOBN(0x27be56f1, 0xb54398dc), TOBN(0x1890efd7, 0x3fedeed5),
TOBN(0x62f77f1f, 0x9c6d0140), TOBN(0x7ef0e314, 0x596f0ee4),
TOBN(0x50ca6631, 0xcc61dab3), TOBN(0x4a39801d, 0xf4866e4f),
TOBN(0x66c8d032, 0xae363b39), TOBN(0x22c591e5, 0x2ead66aa),
TOBN(0x954ba308, 0xde02a53e), TOBN(0x2a6c060f, 0xd389f357),
TOBN(0xe6cfcde8, 0xfbf40b66), TOBN(0x8e02fc56, 0xc6340ce1),
TOBN(0xe4957795, 0x73adb4ba), TOBN(0x7b86122c, 0xa7b03805),
TOBN(0x63f83512, 0x0c8e6fa6), TOBN(0x83660ea0, 0x057d7804),
TOBN(0xbad79105, 0x21ba473c), TOBN(0xb6c50bee, 0xded5389d),
TOBN(0xee2caf4d, 0xaa7c9bc0), TOBN(0xd97b8de4, 0x8c4e98a7),
TOBN(0xa9f63e70, 0xab3bbddb), TOBN(0x3898aabf, 0x2597815a),
TOBN(0x7659af89, 0xac15b3d9), TOBN(0xedf7725b, 0x703ce784),
TOBN(0x25470fab, 0xe085116b), TOBN(0x04a43375, 0x87285310),
TOBN(0x4e39187e, 0xe2bfd52f), TOBN(0x36166b44, 0x7d9ebc74),
TOBN(0x92ad433c, 0xfd4b322c), TOBN(0x726aa817, 0xba79ab51),
TOBN(0xf96eacd8, 0xc1db15eb), TOBN(0xfaf71e91, 0x0476be63),
TOBN(0xdd69a640, 0x641fad98), TOBN(0xb7995918, 0x29622559),
TOBN(0x03c6daa5, 0xde4199dc), TOBN(0x92cadc97, 0xad545eb4),
TOBN(0x1028238b, 0x256534e4), TOBN(0x73e80ce6, 0x8595409a),
TOBN(0x690d4c66, 0xd05dc59b), TOBN(0xc95f7b8f, 0x981dee80),
TOBN(0xf4337014, 0xd856ac25), TOBN(0x441bd9dd, 0xac524dca),
TOBN(0x640b3d85, 0x5f0499f5), TOBN(0x39cf84a9, 0xd5fda182),
TOBN(0x04e7b055, 0xb2aa95a0), TOBN(0x29e33f0a, 0x0ddf1860),
TOBN(0x082e74b5, 0x423f6b43), TOBN(0x217edeb9, 0x0aaa2b0f),
TOBN(0x58b83f35, 0x83cbea55), TOBN(0xc485ee4d, 0xbc185d70),
TOBN(0x833ff03b, 0x1e5f6992), TOBN(0xb5b9b9cc, 0xcf0c0dd5),
TOBN(0x7caaee8e, 0x4e9e8a50), TOBN(0x462e907b, 0x6269dafd),
TOBN(0x6ed5cee9, 0xfbe791c6), TOBN(0x68ca3259, 0xed430790),
TOBN(0x2b72bdf2, 0x13b5ba88), TOBN(0x60294c8a, 0x35ef0ac4),
TOBN(0x9c3230ed, 0x19b99b08), TOBN(0x560fff17, 0x6c2589aa),
TOBN(0x552b8487, 0xd6770374), TOBN(0xa373202d, 0x9a56f685),
TOBN(0xd3e7f907, 0x45f175d9), TOBN(0x3c2f315f, 0xd080d810),
TOBN(0x1130e9dd, 0x7b9520e8), TOBN(0xc078f9e2, 0x0af037b5),
TOBN(0x38cd2ec7, 0x1e9c104c), TOBN(0x0f684368, 0xc472fe92),
TOBN(0xd3f1b5ed, 0x6247e7ef), TOBN(0xb32d33a9, 0x396dfe21),
TOBN(0x46f59cf4, 0x4a9aa2c2), TOBN(0x69cd5168, 0xff0f7e41),
TOBN(0x3f59da0f, 0x4b3234da), TOBN(0xcf0b0235, 0xb4579ebe),
TOBN(0x6d1cbb25, 0x6d2476c7), TOBN(0x4f0837e6, 0x9dc30f08),
TOBN(0x9a4075bb, 0x906f6e98), TOBN(0x253bb434, 0xc761e7d1),
TOBN(0xde2e645f, 0x6e73af10), TOBN(0xb89a4060, 0x0c5f131c),
TOBN(0xd12840c5, 0xb8cc037f), TOBN(0x3d093a5b, 0x7405bb47),
TOBN(0x6202c253, 0x206348b8), TOBN(0xbf5d57fc, 0xc55a3ca7),
TOBN(0x89f6c90c, 0x8c3bef48), TOBN(0x23ac7623, 0x5a0a960a),
TOBN(0xdfbd3d6b, 0x552b42ab), TOBN(0x3ef22458, 0x132061f6),
TOBN(0xd74e9bda, 0xc97e6516), TOBN(0x88779360, 0xc230f49e),
TOBN(0xa6ec1de3, 0x1e74ea49), TOBN(0x581dcee5, 0x3fb645a2),
TOBN(0xbaef2391, 0x8f483f14), TOBN(0x6d2dddfc, 0xd137d13b),
TOBN(0x54cde50e, 0xd2743a42), TOBN(0x89a34fc5, 0xe4d97e67),
TOBN(0x13f1f5b3, 0x12e08ce5), TOBN(0xa80540b8, 0xa7f0b2ca),
TOBN(0x854bcf77, 0x01982805), TOBN(0xb8653ffd, 0x233bea04),
TOBN(0x8e7b8787, 0x02b0b4c9), TOBN(0x2675261f, 0x9acb170a),
TOBN(0x061a9d90, 0x930c14e5), TOBN(0xb59b30e0, 0xdef0abea),
TOBN(0x1dc19ea6, 0x0200ec7d), TOBN(0xb6f4a3f9, 0x0bce132b),
TOBN(0xb8d5de90, 0xf13e27e0), TOBN(0xbaee5ef0, 0x1fade16f),
TOBN(0x6f406aaa, 0xe4c6cf38), TOBN(0xab4cfe06, 0xd1369815),
TOBN(0x0dcffe87, 0xefd550c6), TOBN(0x9d4f59c7, 0x75ff7d39),
TOBN(0xb02553b1, 0x51deb6ad), TOBN(0x812399a4, 0xb1877749),
TOBN(0xce90f71f, 0xca6006e1), TOBN(0xc32363a6, 0xb02b6e77),
TOBN(0x02284fbe, 0xdc36c64d), TOBN(0x86c81e31, 0xa7e1ae61),
TOBN(0x2576c7e5, 0xb909d94a), TOBN(0x8b6f7d02, 0x818b2bb0),
TOBN(0xeca3ed07, 0x56faa38a), TOBN(0xa3790e6c, 0x9305bb54),
TOBN(0xd784eeda, 0x7bc73061), TOBN(0xbd56d369, 0x6dd50614),
TOBN(0xd6575949, 0x229a8aa9), TOBN(0xdcca8f47, 0x4595ec28),
TOBN(0x814305c1, 0x06ab4fe6), TOBN(0xc8c39768, 0x24f43f16),
TOBN(0xe2a45f36, 0x523f2b36), TOBN(0x995c6493, 0x920d93bb),
TOBN(0xf8afdab7, 0x90f1632b), TOBN(0x79ebbecd, 0x1c295954),
TOBN(0xc7bb3ddb, 0x79592f48), TOBN(0x67216a7b, 0x5f88e998),
TOBN(0xd91f098b, 0xbc01193e), TOBN(0xf7d928a5, 0xb1db83fc),
TOBN(0x55e38417, 0xe991f600), TOBN(0x2a91113e, 0x2981a934),
TOBN(0xcbc9d648, 0x06b13bde), TOBN(0xb011b6ac, 0x0755ff44),
TOBN(0x6f4cb518, 0x045ec613), TOBN(0x522d2d31, 0xc2f5930a),
TOBN(0x5acae1af, 0x382e65de), TOBN(0x57643067, 0x27bc966f),
TOBN(0x5e12705d, 0x1c7193f0), TOBN(0xf0f32f47, 0x3be8858e),
TOBN(0x785c3d7d, 0x96c6dfc7), TOBN(0xd75b4a20, 0xbf31795d),
TOBN(0x91acf17b, 0x342659d4), TOBN(0xe596ea34, 0x44f0378f),
TOBN(0x4515708f, 0xce52129d), TOBN(0x17387e1e, 0x79f2f585),
TOBN(0x72cfd2e9, 0x49dee168), TOBN(0x1ae05223, 0x3e2af239),
TOBN(0x009e75be, 0x1d94066a), TOBN(0x6cca31c7, 0x38abf413),
TOBN(0xb50bd61d, 0x9bc49908), TOBN(0x4a9b4a8c, 0xf5e2bc1e),
TOBN(0xeb6cc5f7, 0x946f83ac), TOBN(0x27da93fc, 0xebffab28),
TOBN(0xea314c96, 0x4821c8c5), TOBN(0x8de49ded, 0xa83c15f4),
TOBN(0x7a64cf20, 0x7af33004), TOBN(0x45f1bfeb, 0xc9627e10),
TOBN(0x878b0626, 0x54b9df60), TOBN(0x5e4fdc3c, 0xa95c0b33),
TOBN(0xe54a37ca, 0xc2035d8e), TOBN(0x9087cda9, 0x80f20b8c),
TOBN(0x36f61c23, 0x8319ade4), TOBN(0x766f287a, 0xde8cfdf8),
TOBN(0x48821948, 0x346f3705), TOBN(0x49a7b853, 0x16e4f4a2),
TOBN(0xb9b3f8a7, 0x5cedadfd), TOBN(0x8f562815, 0x8db2a815),
TOBN(0xc0b7d554, 0x01f68f95), TOBN(0x12971e27, 0x688a208e),
TOBN(0xc9f8b696, 0xd0ff34fc), TOBN(0x20824de2, 0x1222718c),
TOBN(0x7213cf9f, 0x0c95284d), TOBN(0xe2ad741b, 0xdc158240),
TOBN(0x0ee3a6df, 0x54043ccf), TOBN(0x16ff479b, 0xd84412b3),
TOBN(0xf6c74ee0, 0xdfc98af0), TOBN(0xa78a169f, 0x52fcd2fb),
TOBN(0xd8ae8746, 0x99c930e9), TOBN(0x1d33e858, 0x49e117a5),
TOBN(0x7581fcb4, 0x6624759f), TOBN(0xde50644f, 0x5bedc01d),
TOBN(0xbeec5d00, 0xcaf3155e), TOBN(0x672d66ac, 0xbc73e75f),
TOBN(0x86b9d8c6, 0x270b01db), TOBN(0xd249ef83, 0x50f55b79),
TOBN(0x6131d6d4, 0x73978fe3), TOBN(0xcc4e4542, 0x754b00a1),
TOBN(0x4e05df05, 0x57dfcfe9), TOBN(0x94b29cdd, 0x51ef6bf0),
TOBN(0xe4530cff, 0x9bc7edf2), TOBN(0x8ac236fd, 0xd3da65f3),
TOBN(0x0faf7d5f, 0xc8eb0b48), TOBN(0x4d2de14c, 0x660eb039),
TOBN(0xc006bba7, 0x60430e54), TOBN(0x10a2d0d6, 0xda3289ab),
TOBN(0x9c037a5d, 0xd7979c59), TOBN(0x04d1f3d3, 0xa116d944),
TOBN(0x9ff22473, 0x8a0983cd), TOBN(0x28e25b38, 0xc883cabb),
TOBN(0xe968dba5, 0x47a58995), TOBN(0x2c80b505, 0x774eebdf),
TOBN(0xee763b71, 0x4a953beb), TOBN(0x502e223f, 0x1642e7f6),
TOBN(0x6fe4b641, 0x61d5e722), TOBN(0x9d37c5b0, 0xdbef5316),
TOBN(0x0115ed70, 0xf8330bc7), TOBN(0x139850e6, 0x75a72789),
TOBN(0x27d7faec, 0xffceccc2), TOBN(0x3016a860, 0x4fd9f7f6),
TOBN(0xc492ec64, 0x4cd8f64c), TOBN(0x58a2d790, 0x279d7b51),
TOBN(0x0ced1fc5, 0x1fc75256), TOBN(0x3e658aed, 0x8f433017),
TOBN(0x0b61942e, 0x05da59eb), TOBN(0xba3d60a3, 0x0ddc3722),
TOBN(0x7c311cd1, 0x742e7f87), TOBN(0x6473ffee, 0xf6b01b6e),}
,
{TOBN(0x8303604f, 0x692ac542), TOBN(0xf079ffe1, 0x227b91d3),
TOBN(0x19f63e63, 0x15aaf9bd), TOBN(0xf99ee565, 0xf1f344fb),
TOBN(0x8a1d661f, 0xd6219199), TOBN(0x8c883bc6, 0xd48ce41c),
TOBN(0x1065118f, 0x3c74d904), TOBN(0x713889ee, 0x0faf8b1b),
TOBN(0x972b3f8f, 0x81a1b3be), TOBN(0x4f3ce145, 0xce2764a0),
TOBN(0xe2d0f1cc, 0x28c4f5f7), TOBN(0xdeee0c0d, 0xc7f3985b),
TOBN(0x7df4adc0, 0xd39e25c3), TOBN(0x40619820, 0xc467a080),
TOBN(0x440ebc93, 0x61cf5a58), TOBN(0x527729a6, 0x422ad600),
TOBN(0xca6c0937, 0xb1b76ba6), TOBN(0x1a2eab85, 0x4d2026dc),
TOBN(0xb1715e15, 0x19d9ae0a), TOBN(0xf1ad9199, 0xbac4a026),
TOBN(0x35b3dfb8, 0x07ea7b0e), TOBN(0xedf5496f, 0x3ed9eb89),
TOBN(0x8932e5ff, 0x2d6d08ab), TOBN(0xf314874e, 0x25bd2731),
TOBN(0xefb26a75, 0x3f73f449), TOBN(0x1d1c94f8, 0x8d44fc79),
TOBN(0x49f0fbc5, 0x3bc0dc4d), TOBN(0xb747ea0b, 0x3698a0d0),
TOBN(0x5218c3fe, 0x228d291e), TOBN(0x35b804b5, 0x43c129d6),
TOBN(0xfac859b8, 0xd1acc516), TOBN(0x6c10697d, 0x95d6e668),
TOBN(0xc38e438f, 0x0876fd4e), TOBN(0x45f0c307, 0x83d2f383),
TOBN(0x203cc2ec, 0xb10934cb), TOBN(0x6a8f2439, 0x2c9d46ee),
TOBN(0xf16b431b, 0x65ccde7b), TOBN(0x41e2cd18, 0x27e76a6f),
TOBN(0xb9c8cf8f, 0x4e3484d7), TOBN(0x64426efd, 0x8315244a),
TOBN(0x1c0a8e44, 0xfc94dea3), TOBN(0x34c8cdbf, 0xdad6a0b0),
TOBN(0x919c3840, 0x04113cef), TOBN(0xfd32fba4, 0x15490ffa),
TOBN(0x58d190f6, 0x795dcfb7), TOBN(0xfef01b03, 0x83588baf),
TOBN(0x9e6d1d63, 0xca1fc1c0), TOBN(0x53173f96, 0xf0a41ac9),
TOBN(0x2b1d402a, 0xba16f73b), TOBN(0x2fb31014, 0x8cf9b9fc),
TOBN(0x2d51e60e, 0x446ef7bf), TOBN(0xc731021b, 0xb91e1745),
TOBN(0x9d3b4724, 0x4fee99d4), TOBN(0x4bca48b6, 0xfac5c1ea),
TOBN(0x70f5f514, 0xbbea9af7), TOBN(0x751f55a5, 0x974c283a),
TOBN(0x6e30251a, 0xcb452fdb), TOBN(0x31ee6965, 0x50f30650),
TOBN(0xb0b3e508, 0x933548d9), TOBN(0xb8949a4f, 0xf4b0ef5b),
TOBN(0x208b8326, 0x3c88f3bd), TOBN(0xab147c30, 0xdb1d9989),
TOBN(0xed6515fd, 0x44d4df03), TOBN(0x17a12f75, 0xe72eb0c5),
TOBN(0x3b59796d, 0x36cf69db), TOBN(0x1219eee9, 0x56670c18),
TOBN(0xfe3341f7, 0x7a070d8e), TOBN(0x9b70130b, 0xa327f90c),
TOBN(0x36a32462, 0x0ae18e0e), TOBN(0x2021a623, 0x46c0a638),
TOBN(0x251b5817, 0xc62eb0d4), TOBN(0x87bfbcdf, 0x4c762293),
TOBN(0xf78ab505, 0xcdd61d64), TOBN(0x8c7a53fc, 0xc8c18857),
TOBN(0xa653ce6f, 0x16147515), TOBN(0x9c923aa5, 0xea7d52d5),
TOBN(0xc24709cb, 0x5c18871f), TOBN(0x7d53bec8, 0x73b3cc74),
TOBN(0x59264aff, 0xfdd1d4c4), TOBN(0x5555917e, 0x240da582),
TOBN(0xcae8bbda, 0x548f5a0e), TOBN(0x1910eaba, 0x3bbfbbe1),
TOBN(0xae579685, 0x7677afc3), TOBN(0x49ea61f1, 0x73ff0b5c),
TOBN(0x78655478, 0x4f7c3922), TOBN(0x95d337cd, 0x20c68eef),
TOBN(0x68f1e1e5, 0xdf779ab9), TOBN(0x14b491b0, 0xb5cf69a8),
TOBN(0x7a6cbbe0, 0x28e3fe89), TOBN(0xe7e1fee4, 0xc5aac0eb),
TOBN(0x7f47eda5, 0x697e5140), TOBN(0x4f450137, 0xb454921f),
TOBN(0xdb625f84, 0x95cd8185), TOBN(0x74be0ba1, 0xcdb2e583),
TOBN(0xaee4fd7c, 0xdd5e6de4), TOBN(0x4251437d, 0xe8101739),
TOBN(0x686d72a0, 0xac620366), TOBN(0x4be3fb9c, 0xb6d59344),
TOBN(0x6e8b44e7, 0xa1eb75b9), TOBN(0x84e39da3, 0x91a5c10c),
TOBN(0x37cc1490, 0xb38f0409), TOBN(0x02951943, 0x2c2ade82),
TOBN(0x9b688783, 0x1190a2d8), TOBN(0x25627d14, 0x231182ba),
TOBN(0x6eb550aa, 0x658a6d87), TOBN(0x1405aaa7, 0xcf9c7325),
TOBN(0xd147142e, 0x5c8748c9), TOBN(0x7f637e4f, 0x53ede0e0),
TOBN(0xf8ca2776, 0x14ffad2c), TOBN(0xe58fb1bd, 0xbafb6791),
TOBN(0x17158c23, 0xbf8f93fc), TOBN(0x7f15b373, 0x0a4a4655),
TOBN(0x39d4add2, 0xd842ca72), TOBN(0xa71e4391, 0x3ed96305),
TOBN(0x5bb09cbe, 0x6700be14), TOBN(0x68d69d54, 0xd8befcf6),
TOBN(0xa45f5367, 0x37183bcf), TOBN(0x7152b7bb, 0x3370dff7),
TOBN(0xcf887baa, 0xbf12525b), TOBN(0xe7ac7bdd, 0xd6d1e3cd),
TOBN(0x25914f78, 0x81fdad90), TOBN(0xcf638f56, 0x0d2cf6ab),
TOBN(0xb90bc03f, 0xcc054de5), TOBN(0x932811a7, 0x18b06350),
TOBN(0x2f00b330, 0x9bbd11ff), TOBN(0x76108a6f, 0xb4044974),
TOBN(0x801bb9e0, 0xa851d266), TOBN(0x0dd099be, 0xbf8990c1),
TOBN(0x58c5aaaa, 0xabe32986), TOBN(0x0fe9dd2a, 0x50d59c27),
TOBN(0x84951ff4, 0x8d307305), TOBN(0x6c23f829, 0x86529b78),
TOBN(0x50bb2218, 0x0b136a79), TOBN(0x7e2174de, 0x77a20996),
TOBN(0x6f00a4b9, 0xc0bb4da6), TOBN(0x89a25a17, 0xefdde8da),
TOBN(0xf728a27e, 0xc11ee01d), TOBN(0xf900553a, 0xe5f10dfb),
TOBN(0x189a83c8, 0x02ec893c), TOBN(0x3ca5bdc1, 0x23f66d77),
TOBN(0x98781537, 0x97eada9f), TOBN(0x59c50ab3, 0x10256230),
TOBN(0x346042d9, 0x323c69b3), TOBN(0x1b715a6d, 0x2c460449),
TOBN(0xa41dd476, 0x6ae06e0b), TOBN(0xcdd7888e, 0x9d42e25f),
TOBN(0x0f395f74, 0x56b25a20), TOBN(0xeadfe0ae, 0x8700e27e),
TOBN(0xb09d52a9, 0x69950093), TOBN(0x3525d9cb, 0x327f8d40),
TOBN(0xb8235a94, 0x67df886a), TOBN(0x77e4b0dd, 0x035faec2),
TOBN(0x115eb20a, 0x517d7061), TOBN(0x77fe3433, 0x6c2df683),
TOBN(0x6870ddc7, 0xcdc6fc67), TOBN(0xb1610588, 0x0b87de83),
TOBN(0x343584ca, 0xd9c4ddbe), TOBN(0xb3164f1c, 0x3d754be2),
TOBN(0x0731ed3a, 0xc1e6c894), TOBN(0x26327dec, 0x4f6b904c),
TOBN(0x9d49c6de, 0x97b5cd32), TOBN(0x40835dae, 0xb5eceecd),
TOBN(0xc66350ed, 0xd9ded7fe), TOBN(0x8aeebb5c, 0x7a678804),
TOBN(0x51d42fb7, 0x5b8ee9ec), TOBN(0xd7a17bdd, 0x8e3ca118),
TOBN(0x40d7511a, 0x2ef4400e), TOBN(0xc48990ac, 0x875a66f4),
TOBN(0x8de07d2a, 0x2199e347), TOBN(0xbee75556, 0x2a39e051),
TOBN(0x56918786, 0x916e51dc), TOBN(0xeb191313, 0x4a2d89ec),
TOBN(0x6679610d, 0x37d341ed), TOBN(0x434fbb41, 0x56d51c2b),
TOBN(0xe54b7ee7, 0xd7492dba), TOBN(0xaa33a79a, 0x59021493),
TOBN(0x49fc5054, 0xe4bd6d3d), TOBN(0x09540f04, 0x5ab551d0),
TOBN(0x8acc9085, 0x4942d3a6), TOBN(0x231af02f, 0x2d28323b),
TOBN(0x93458cac, 0x0992c163), TOBN(0x1fef8e71, 0x888e3bb4),
TOBN(0x27578da5, 0xbe8c268c), TOBN(0xcc8be792, 0xe805ec00),
TOBN(0x29267bae, 0xc61c3855), TOBN(0xebff429d, 0x58c1fd3b),
TOBN(0x22d886c0, 0x8c0b93b8), TOBN(0xca5e00b2, 0x2ddb8953),
TOBN(0xcf330117, 0xc3fed8b7), TOBN(0xd49ac6fa, 0x819c01f6),
TOBN(0x6ddaa6bd, 0x3c0fbd54), TOBN(0x91743068, 0x8049a2cf),
TOBN(0xd67f981e, 0xaff2ef81), TOBN(0xc3654d35, 0x2818ae80),
TOBN(0x81d05044, 0x1b2aa892), TOBN(0x2db067bf, 0x3d099328),
TOBN(0xe7c79e86, 0x703dcc97), TOBN(0xe66f9b37, 0xe133e215),
TOBN(0xcdf119a6, 0xe39a7a5c), TOBN(0x47c60de3, 0x876f1b61),
TOBN(0x6e405939, 0xd860f1b2), TOBN(0x3e9a1dbc, 0xf5ed4d4a),
TOBN(0x3f23619e, 0xc9b6bcbd), TOBN(0x5ee790cf, 0x734e4497),
TOBN(0xf0a834b1, 0x5bdaf9bb), TOBN(0x02cedda7, 0x4ca295f0),
TOBN(0x4619aa2b, 0xcb8e378c), TOBN(0xe5613244, 0xcc987ea4),
TOBN(0x0bc022cc, 0x76b23a50), TOBN(0x4a2793ad, 0x0a6c21ce),
TOBN(0x38328780, 0x89cac3f5), TOBN(0x29176f1b, 0xcba26d56),
TOBN(0x06296187, 0x4f6f59eb), TOBN(0x86e9bca9, 0x8bdc658e),
TOBN(0x2ca9c4d3, 0x57e30402), TOBN(0x5438b216, 0x516a09bb),
TOBN(0x0a6a063c, 0x7672765a), TOBN(0x37a3ce64, 0x0547b9bf),
TOBN(0x42c099c8, 0x98b1a633), TOBN(0xb5ab800d, 0x05ee6961),
TOBN(0xf1963f59, 0x11a5acd6), TOBN(0xbaee6157, 0x46201063),
TOBN(0x36d9a649, 0xa596210a), TOBN(0xaed04363, 0x1ba7138c),
TOBN(0xcf817d1c, 0xa4a82b76), TOBN(0x5586960e, 0xf3806be9),
TOBN(0x7ab67c89, 0x09dc6bb5), TOBN(0x52ace7a0, 0x114fe7eb),
TOBN(0xcd987618, 0xcbbc9b70), TOBN(0x4f06fd5a, 0x604ca5e1),
TOBN(0x90af14ca, 0x6dbde133), TOBN(0x1afe4322, 0x948a3264),
TOBN(0xa70d2ca6, 0xc44b2c6c), TOBN(0xab726799, 0x0ef87dfe),
TOBN(0x310f64dc, 0x2e696377), TOBN(0x49b42e68, 0x4c8126a0),
TOBN(0x0ea444c3, 0xcea0b176), TOBN(0x53a8ddf7, 0xcb269182),
TOBN(0xf3e674eb, 0xbbba9dcb), TOBN(0x0d2878a8, 0xd8669d33),
TOBN(0x04b935d5, 0xd019b6a3), TOBN(0xbb5cf88e, 0x406f1e46),
TOBN(0xa1912d16, 0x5b57c111), TOBN(0x9803fc21, 0x19ebfd78),
TOBN(0x4f231c9e, 0xc07764a9), TOBN(0xd93286ee, 0xb75bd055),
TOBN(0x83a9457d, 0x8ee6c9de), TOBN(0x04695915, 0x6087ec90),
TOBN(0x14c6dd8a, 0x58d6cd46), TOBN(0x9cb633b5, 0x8e6634d2),
TOBN(0xc1305047, 0xf81bc328), TOBN(0x12ede0e2, 0x26a177e5),
TOBN(0x332cca62, 0x065a6f4f), TOBN(0xc3a47ecd, 0x67be487b),
TOBN(0x741eb187, 0x0f47ed1c), TOBN(0x99e66e58, 0xe7598b14),
TOBN(0x6f0544ca, 0x63d0ff12), TOBN(0xe5efc784, 0xb610a05f),
TOBN(0xf72917b1, 0x7cad7b47), TOBN(0x3ff6ea20, 0xf2cac0c0),
TOBN(0xcc23791b, 0xf21db8b7), TOBN(0x7dac70b1, 0xd7d93565),
TOBN(0x682cda1d, 0x694bdaad), TOBN(0xeb88bb8c, 0x1023516d),
TOBN(0xc4c634b4, 0xdfdbeb1b), TOBN(0x22f5ca72, 0xb4ee4dea),
TOBN(0x1045a368, 0xe6524821), TOBN(0xed9e8a3f, 0x052b18b2),
TOBN(0x9b7f2cb1, 0xb961f49a), TOBN(0x7fee2ec1, 0x7b009670),
TOBN(0x350d8754, 0x22507a6d), TOBN(0x561bd711, 0x4db55f1d),
TOBN(0x4c189ccc, 0x320bbcaf), TOBN(0x568434cf, 0xdf1de48c),
TOBN(0x6af1b00e, 0x0fa8f128), TOBN(0xf0ba9d02, 0x8907583c),
TOBN(0x735a4004, 0x32ff9f60), TOBN(0x3dd8e4b6, 0xc25dcf33),
TOBN(0xf2230f16, 0x42c74cef), TOBN(0xd8117623, 0x013fa8ad),
TOBN(0x36822876, 0xf51fe76e), TOBN(0x8a6811cc, 0x11d62589),
TOBN(0xc3fc7e65, 0x46225718), TOBN(0xb7df2c9f, 0xc82fdbcd),
TOBN(0x3b1d4e52, 0xdd7b205b), TOBN(0xb6959478, 0x47a2e414),
TOBN(0x05e4d793, 0xefa91148), TOBN(0xb47ed446, 0xfd2e9675),
TOBN(0x1a7098b9, 0x04c9d9bf), TOBN(0x661e2881, 0x1b793048),
TOBN(0xb1a16966, 0xb01ee461), TOBN(0xbc521308, 0x2954746f),
TOBN(0xc909a0fc, 0x2477de50), TOBN(0xd80bb41c, 0x7dbd51ef),
TOBN(0xa85be7ec, 0x53294905), TOBN(0x6d465b18, 0x83958f97),
TOBN(0x16f6f330, 0xfb6840fd), TOBN(0xfaaeb214, 0x3401e6c8),
TOBN(0xaf83d30f, 0xccb5b4f8), TOBN(0x22885739, 0x266dec4b),
TOBN(0x51b4367c, 0x7bc467df), TOBN(0x926562e3, 0xd842d27a),
TOBN(0xdfcb6614, 0x0fea14a6), TOBN(0xeb394dae, 0xf2734cd9),
TOBN(0x3eeae5d2, 0x11c0be98), TOBN(0xb1e6ed11, 0x814e8165),
TOBN(0x191086bc, 0xe52bce1c), TOBN(0x14b74cc6, 0xa75a04da),
TOBN(0x63cf1186, 0x8c060985), TOBN(0x071047de, 0x2dbd7f7c),
TOBN(0x4e433b8b, 0xce0942ca), TOBN(0xecbac447, 0xd8fec61d),
TOBN(0x8f0ed0e2, 0xebf3232f), TOBN(0xfff80f9e, 0xc52a2edd),
TOBN(0xad9ab433, 0x75b55fdb), TOBN(0x73ca7820, 0xe42e0c11),
TOBN(0x6dace0a0, 0xe6251b46), TOBN(0x89bc6b5c, 0x4c0d932d),
TOBN(0x3438cd77, 0x095da19a), TOBN(0x2f24a939, 0x8d48bdfb),
TOBN(0x99b47e46, 0x766561b7), TOBN(0x736600e6, 0x0ed0322a),
TOBN(0x06a47cb1, 0x638e1865), TOBN(0x927c1c2d, 0xcb136000),
TOBN(0x29542337, 0x0cc5df69), TOBN(0x99b37c02, 0x09d649a9),
TOBN(0xc5f0043c, 0x6aefdb27), TOBN(0x6cdd9987, 0x1be95c27),
TOBN(0x69850931, 0x390420d2), TOBN(0x299c40ac, 0x0983efa4),
TOBN(0x3a05e778, 0xaf39aead), TOBN(0x84274408, 0x43a45193),
TOBN(0x6bcd0fb9, 0x91a711a0), TOBN(0x461592c8, 0x9f52ab17),
TOBN(0xb49302b4, 0xda3c6ed6), TOBN(0xc51fddc7, 0x330d7067),
TOBN(0x94babeb6, 0xda50d531), TOBN(0x521b840d, 0xa6a7b9da),
TOBN(0x5305151e, 0x404bdc89), TOBN(0x1bcde201, 0xd0d07449),
TOBN(0xf427a78b, 0x3b76a59a), TOBN(0xf84841ce, 0x07791a1b),
TOBN(0xebd314be, 0xbf91ed1c), TOBN(0x8e61d34c, 0xbf172943),
TOBN(0x1d5dc451, 0x5541b892), TOBN(0xb186ee41, 0xfc9d9e54),
TOBN(0x9d9f345e, 0xd5bf610d), TOBN(0x3e7ba65d, 0xf6acca9f),
TOBN(0x9dda787a, 0xa8369486), TOBN(0x09f9dab7, 0x8eb5ba53),
TOBN(0x5afb2033, 0xd6481bc3), TOBN(0x76f4ce30, 0xafa62104),
TOBN(0xa8fa00cf, 0xf4f066b5), TOBN(0x89ab5143, 0x461dafc2),
TOBN(0x44339ed7, 0xa3389998), TOBN(0x2ff862f1, 0xbc214903),
TOBN(0x2c88f985, 0xb05556e3), TOBN(0xcd96058e, 0x3467081e),
TOBN(0x7d6a4176, 0xedc637ea), TOBN(0xe1743d09, 0x36a5acdc),
TOBN(0x66fd72e2, 0x7eb37726), TOBN(0xf7fa264e, 0x1481a037),
TOBN(0x9fbd3bde, 0x45f4aa79), TOBN(0xed1e0147, 0x767c3e22),
TOBN(0x7621f979, 0x82e7abe2), TOBN(0x19eedc72, 0x45f633f8),
TOBN(0xe69b155e, 0x6137bf3a), TOBN(0xa0ad13ce, 0x414ee94e),
TOBN(0x93e3d524, 0x1c0e651a), TOBN(0xab1a6e2a, 0x02ce227e),
TOBN(0xe7af1797, 0x4ab27eca), TOBN(0x245446de, 0xbd444f39),
TOBN(0x59e22a21, 0x56c07613), TOBN(0x43deafce, 0xf4275498),
TOBN(0x10834ccb, 0x67fd0946), TOBN(0xa75841e5, 0x47406edf),
TOBN(0xebd6a677, 0x7b0ac93d), TOBN(0xa6e37b0d, 0x78f5e0d7),
TOBN(0x2516c096, 0x76f5492b), TOBN(0x1e4bf888, 0x9ac05f3a),
TOBN(0xcdb42ce0, 0x4df0ba2b), TOBN(0x935d5cfd, 0x5062341b),
TOBN(0x8a303333, 0x82acac20), TOBN(0x429438c4, 0x5198b00e),
TOBN(0x1d083bc9, 0x049d33fa), TOBN(0x58b82dda, 0x946f67ff),
TOBN(0xac3e2db8, 0x67a1d6a3), TOBN(0x62e6bead, 0x1798aac8),
TOBN(0xfc85980f, 0xde46c58c), TOBN(0xa7f69379, 0x69c8d7be),
TOBN(0x23557927, 0x837b35ec), TOBN(0x06a933d8, 0xe0790c0c),
TOBN(0x827c0e9b, 0x077ff55d), TOBN(0x53977798, 0xbb26e680),
TOBN(0x59530874, 0x1d9cb54f), TOBN(0xcca3f449, 0x4aac53ef),
TOBN(0x11dc5c87, 0xa07eda0f), TOBN(0xc138bccf, 0xfd6400c8),
TOBN(0x549680d3, 0x13e5da72), TOBN(0xc93eed82, 0x4540617e),
TOBN(0xfd3db157, 0x4d0b75c0), TOBN(0x9716eb42, 0x6386075b),
TOBN(0x0639605c, 0x817b2c16), TOBN(0x09915109, 0xf1e4f201),
TOBN(0x35c9a928, 0x5cca6c3b), TOBN(0xb25f7d1a, 0x3505c900),
TOBN(0xeb9f7d20, 0x630480c4), TOBN(0xc3c7b8c6, 0x2a1a501c),
TOBN(0x3f99183c, 0x5a1f8e24), TOBN(0xfdb118fa, 0x9dd255f0),
TOBN(0xb9b18b90, 0xc27f62a6), TOBN(0xe8f732f7, 0x396ec191),
TOBN(0x524a2d91, 0x0be786ab), TOBN(0x5d32adef, 0x0ac5a0f5),
TOBN(0x9b53d4d6, 0x9725f694), TOBN(0x032a76c6, 0x0510ba89),
TOBN(0x840391a3, 0xebeb1544), TOBN(0x44b7b88c, 0x3ed73ac3),
TOBN(0xd24bae7a, 0x256cb8b3), TOBN(0x7ceb151a, 0xe394cb12),
TOBN(0xbd6b66d0, 0x5bc1e6a8), TOBN(0xec70cecb, 0x090f07bf),
TOBN(0x270644ed, 0x7d937589), TOBN(0xee9e1a3d, 0x5f1dccfe),
TOBN(0xb0d40a84, 0x745b98d2), TOBN(0xda429a21, 0x2556ed40),
TOBN(0xf676eced, 0x85148cb9), TOBN(0x5a22d40c, 0xded18936),
TOBN(0x3bc4b9e5, 0x70e8a4ce), TOBN(0xbfd1445b, 0x9eae0379),
TOBN(0xf23f2c0c, 0x1a0bd47e), TOBN(0xa9c0bb31, 0xe1845531),
TOBN(0x9ddc4d60, 0x0a4c3f6b), TOBN(0xbdfaad79, 0x2c15ef44),
TOBN(0xce55a236, 0x7f484acc), TOBN(0x08653ca7, 0x055b1f15),
TOBN(0x2efa8724, 0x538873a3), TOBN(0x09299e5d, 0xace1c7e7),
TOBN(0x07afab66, 0xade332ba), TOBN(0x9be1fdf6, 0x92dd71b7),
TOBN(0xa49b5d59, 0x5758b11c), TOBN(0x0b852893, 0xc8654f40),
TOBN(0xb63ef6f4, 0x52379447), TOBN(0xd4957d29, 0x105e690c),
TOBN(0x7d484363, 0x646559b0), TOBN(0xf4a8273c, 0x49788a8e),
TOBN(0xee406cb8, 0x34ce54a9), TOBN(0x1e1c260f, 0xf86fda9b),
TOBN(0xe150e228, 0xcf6a4a81), TOBN(0x1fa3b6a3, 0x1b488772),
TOBN(0x1e6ff110, 0xc5a9c15b), TOBN(0xc6133b91, 0x8ad6aa47),
TOBN(0x8ac5d55c, 0x9dffa978), TOBN(0xba1d1c1d, 0x5f3965f2),
TOBN(0xf969f4e0, 0x7732b52f), TOBN(0xfceecdb5, 0xa5172a07),
TOBN(0xb0120a5f, 0x10f2b8f5), TOBN(0xc83a6cdf, 0x5c4c2f63),
TOBN(0x4d47a491, 0xf8f9c213), TOBN(0xd9e1cce5, 0xd3f1bbd5),
TOBN(0x0d91bc7c, 0xaba7e372), TOBN(0xfcdc74c8, 0xdfd1a2db),
TOBN(0x05efa800, 0x374618e5), TOBN(0x11216969, 0x15a7925e),
TOBN(0xd4c89823, 0xf6021c5d), TOBN(0x880d5e84, 0xeff14423),
TOBN(0x6523bc5a, 0x6dcd1396), TOBN(0xd1acfdfc, 0x113c978b),
TOBN(0xb0c164e8, 0xbbb66840), TOBN(0xf7f4301e, 0x72b58459),
TOBN(0xc29ad4a6, 0xa638e8ec), TOBN(0xf5ab8961, 0x46b78699),
TOBN(0x9dbd7974, 0x0e954750), TOBN(0x0121de88, 0x64f9d2c6),
TOBN(0x2e597b42, 0xd985232e), TOBN(0x55b6c3c5, 0x53451777),
TOBN(0xbb53e547, 0x519cb9fb), TOBN(0xf134019f, 0x8428600d),
TOBN(0x5a473176, 0xe081791a), TOBN(0x2f3e2263, 0x35fb0c08),
TOBN(0xb28c3017, 0x73d273b0), TOBN(0xccd21076, 0x7721ef9a),
TOBN(0x054cc292, 0xb650dc39), TOBN(0x662246de, 0x6188045e),
TOBN(0x904b52fa, 0x6b83c0d1), TOBN(0xa72df267, 0x97e9cd46),
TOBN(0x886b43cd, 0x899725e4), TOBN(0x2b651688, 0xd849ff22),
TOBN(0x60479b79, 0x02f34533), TOBN(0x5e354c14, 0x0c77c148),
TOBN(0xb4bb7581, 0xa8537c78), TOBN(0x188043d7, 0xefe1495f),
TOBN(0x9ba12f42, 0x8c1d5026), TOBN(0x2e0c8a26, 0x93d4aaab),
TOBN(0xbdba7b8b, 0xaa57c450), TOBN(0x140c9ad6, 0x9bbdafef),
TOBN(0x2067aa42, 0x25ac0f18), TOBN(0xf7b1295b, 0x04d1fbf3),
TOBN(0x14829111, 0xa4b04824), TOBN(0x2ce3f192, 0x33bd5e91),
TOBN(0x9c7a1d55, 0x8f2e1b72), TOBN(0xfe932286, 0x302aa243),
TOBN(0x497ca7b4, 0xd4be9554), TOBN(0xb8e821b8, 0xe0547a6e),
TOBN(0xfb2838be, 0x67e573e0), TOBN(0x05891db9, 0x4084c44b),
TOBN(0x91311373, 0x96c1c2c5), TOBN(0x6aebfa3f, 0xd958444b),
TOBN(0xac9cdce9, 0xe56e55c1), TOBN(0x7148ced3, 0x2caa46d0),
TOBN(0x2e10c7ef, 0xb61fe8eb), TOBN(0x9fd835da, 0xff97cf4d),}
,
{TOBN(0xa36da109, 0x081e9387), TOBN(0xfb9780d7, 0x8c935828),
TOBN(0xd5940332, 0xe540b015), TOBN(0xc9d7b51b, 0xe0f466fa),
TOBN(0xfaadcd41, 0xd6d9f671), TOBN(0xba6c1e28, 0xb1a2ac17),
TOBN(0x066a7833, 0xed201e5f), TOBN(0x19d99719, 0xf90f462b),
TOBN(0xf431f462, 0x060b5f61), TOBN(0xa56f46b4, 0x7bd057c2),
TOBN(0x348dca6c, 0x47e1bf65), TOBN(0x9a38783e, 0x41bcf1ff),
TOBN(0x7a5d33a9, 0xda710718), TOBN(0x5a779987, 0x2e0aeaf6),
TOBN(0xca87314d, 0x2d29d187), TOBN(0xfa0edc3e, 0xc687d733),
TOBN(0x9df33621, 0x6a31e09b), TOBN(0xde89e44d, 0xc1350e35),
TOBN(0x29214871, 0x4ca0cf52), TOBN(0xdf379672, 0x0b88a538),
TOBN(0xc92a510a, 0x2591d61b), TOBN(0x79aa87d7, 0x585b447b),
TOBN(0xf67db604, 0xe5287f77), TOBN(0x1697c8bf, 0x5efe7a80),
TOBN(0x1c894849, 0xcb198ac7), TOBN(0xa884a93d, 0x0f264665),
TOBN(0x2da964ef, 0x9b200678), TOBN(0x3c351b87, 0x009834e6),
TOBN(0xafb2ef9f, 0xe2c4b44b), TOBN(0x580f6c47, 0x3326790c),
TOBN(0xb8480521, 0x0b02264a), TOBN(0x8ba6f9e2, 0x42a194e2),
TOBN(0xfc87975f, 0x8fb54738), TOBN(0x35160788, 0x27c3ead3),
TOBN(0x834116d2, 0xb74a085a), TOBN(0x53c99a73, 0xa62fe996),
TOBN(0x87585be0, 0x5b81c51b), TOBN(0x925bafa8, 0xbe0852b7),
TOBN(0x76a4fafd, 0xa84d19a7), TOBN(0x39a45982, 0x585206d4),
TOBN(0x499b6ab6, 0x5eb03c0e), TOBN(0xf19b7954, 0x72bc3fde),
TOBN(0xa86b5b9c, 0x6e3a80d2), TOBN(0xe4377508, 0x6d42819f),
TOBN(0xc1663650, 0xbb3ee8a3), TOBN(0x75eb14fc, 0xb132075f),
TOBN(0xa8ccc906, 0x7ad834f6), TOBN(0xea6a2474, 0xe6e92ffd),
TOBN(0x9d72fd95, 0x0f8d6758), TOBN(0xcb84e101, 0x408c07dd),
TOBN(0xb9114bfd, 0xa5e23221), TOBN(0x358b5fe2, 0xe94e742c),
TOBN(0x1c0577ec, 0x95f40e75), TOBN(0xf0155451, 0x3d73f3d6),
TOBN(0x9d55cd67, 0xbd1b9b66), TOBN(0x63e86e78, 0xaf8d63c7),
TOBN(0x39d934ab, 0xd3c095f1), TOBN(0x04b261be, 0xe4b76d71),
TOBN(0x1d2e6970, 0xe73e6984), TOBN(0x879fb23b, 0x5e5fcb11),
TOBN(0x11506c72, 0xdfd75490), TOBN(0x3a97d085, 0x61bcf1c1),
TOBN(0x43201d82, 0xbf5e7007), TOBN(0x7f0ac52f, 0x798232a7),
TOBN(0x2715cbc4, 0x6eb564d4), TOBN(0x8d6c752c, 0x9e570e29),
TOBN(0xf80247c8, 0x9ef5fd5d), TOBN(0xc3c66b46, 0xd53eb514),
TOBN(0x9666b401, 0x0f87de56), TOBN(0xce62c06f, 0xc6c603b5),
TOBN(0xae7b4c60, 0x7e4fc942), TOBN(0x38ac0b77, 0x663a9c19),
TOBN(0xcb4d20ee, 0x4b049136), TOBN(0x8b63bf12, 0x356a4613),
TOBN(0x1221aef6, 0x70e08128), TOBN(0xe62d8c51, 0x4acb6b16),
TOBN(0x71f64a67, 0x379e7896), TOBN(0xb25237a2, 0xcafd7fa5),
TOBN(0xf077bd98, 0x3841ba6a), TOBN(0xc4ac0244, 0x3cd16e7e),
TOBN(0x548ba869, 0x21fea4ca), TOBN(0xd36d0817, 0xf3dfdac1),
TOBN(0x09d8d71f, 0xf4685faf), TOBN(0x8eff66be, 0xc52c459a),
TOBN(0x182faee7, 0x0b57235e), TOBN(0xee3c39b1, 0x0106712b),
TOBN(0x5107331f, 0xc0fcdcb0), TOBN(0x669fb9dc, 0xa51054ba),
TOBN(0xb25101fb, 0x319d7682), TOBN(0xb0293129, 0x0a982fee),
TOBN(0x51c1c9b9, 0x0261b344), TOBN(0x0e008c5b, 0xbfd371fa),
TOBN(0xd866dd1c, 0x0278ca33), TOBN(0x666f76a6, 0xe5aa53b1),
TOBN(0xe5cfb779, 0x6013a2cf), TOBN(0x1d3a1aad, 0xa3521836),
TOBN(0xcedd2531, 0x73faa485), TOBN(0xc8ee6c4f, 0xc0a76878),
TOBN(0xddbccfc9, 0x2a11667d), TOBN(0x1a418ea9, 0x1c2f695a),
TOBN(0xdb11bd92, 0x51f73971), TOBN(0x3e4b3c82, 0xda2ed89f),
TOBN(0x9a44f3f4, 0xe73e0319), TOBN(0xd1e3de0f, 0x303431af),
TOBN(0x3c5604ff, 0x50f75f9c), TOBN(0x1d8eddf3, 0x7e752b22),
TOBN(0x0ef074dd, 0x3c9a1118), TOBN(0xd0ffc172, 0xccb86d7b),
TOBN(0xabd1ece3, 0x037d90f2), TOBN(0xe3f307d6, 0x6055856c),
TOBN(0x422f9328, 0x7e4c6daf), TOBN(0x902aac66, 0x334879a0),
TOBN(0xb6a1e7bf, 0x94cdfade), TOBN(0x6c97e1ed, 0x7fc6d634),
TOBN(0x662ad24d, 0xa2fb63f8), TOBN(0xf81be1b9, 0xa5928405),
TOBN(0x86d765e4, 0xd14b4206), TOBN(0xbecc2e0e, 0x8fa0db65),
TOBN(0xa28838e0, 0xb17fc76c), TOBN(0xe49a602a, 0xe37cf24e),
TOBN(0x76b4131a, 0x567193ec), TOBN(0xaf3c305a, 0xe5f6e70b),
TOBN(0x9587bd39, 0x031eebdd), TOBN(0x5709def8, 0x71bbe831),
TOBN(0x57059983, 0x0eb2b669), TOBN(0x4d80ce1b, 0x875b7029),
TOBN(0x838a7da8, 0x0364ac16), TOBN(0x2f431d23, 0xbe1c83ab),
TOBN(0xe56812a6, 0xf9294dd3), TOBN(0xb448d01f, 0x9b4b0d77),
TOBN(0xf3ae6061, 0x04e8305c), TOBN(0x2bead645, 0x94d8c63e),
TOBN(0x0a85434d, 0x84fd8b07), TOBN(0x537b983f, 0xf7a9dee5),
TOBN(0xedcc5f18, 0xef55bd85), TOBN(0x2041af62, 0x21c6cf8b),
TOBN(0x8e52874c, 0xb940c71e), TOBN(0x211935a9, 0xdb5f4b3a),
TOBN(0x94350492, 0x301b1dc3), TOBN(0x33d2646d, 0x29958620),
TOBN(0x16b0d64b, 0xef911404), TOBN(0x9d1f25ea, 0x9a3c5ef4),
TOBN(0x20f200eb, 0x4a352c78), TOBN(0x43929f2c, 0x4bd0b428),
TOBN(0xa5656667, 0xc7196e29), TOBN(0x7992c2f0, 0x9391be48),
TOBN(0xaaa97cbd, 0x9ee0cd6e), TOBN(0x51b0310c, 0x3dc8c9bf),
TOBN(0x237f8acf, 0xdd9f22cb), TOBN(0xbb1d81a1, 0xb585d584),
TOBN(0x8d5d85f5, 0x8c416388), TOBN(0x0d6e5a5a, 0x42fe474f),
TOBN(0xe7812766, 0x38235d4e), TOBN(0x1c62bd67, 0x496e3298),
TOBN(0x8378660c, 0x3f175bc8), TOBN(0x4d04e189, 0x17afdd4d),
TOBN(0x32a81601, 0x85a8068c), TOBN(0xdb58e4e1, 0x92b29a85),
TOBN(0xe8a65b86, 0xc70d8a3b), TOBN(0x5f0e6f4e, 0x98a0403b),
TOBN(0x08129684, 0x69ed2370), TOBN(0x34dc30bd, 0x0871ee26),
TOBN(0x3a5ce948, 0x7c9c5b05), TOBN(0x7d487b80, 0x43a90c87),
TOBN(0x4089ba37, 0xdd0e7179), TOBN(0x45f80191, 0xb4041811),
TOBN(0x1c3e1058, 0x98747ba5), TOBN(0x98c4e13a, 0x6e1ae592),
TOBN(0xd44636e6, 0xe82c9f9e), TOBN(0x711db87c, 0xc33a1043),
TOBN(0x6f431263, 0xaa8aec05), TOBN(0x43ff120d, 0x2744a4aa),
TOBN(0xd3bd892f, 0xae77779b), TOBN(0xf0fe0cc9, 0x8cdc9f82),
TOBN(0xca5f7fe6, 0xf1c5b1bc), TOBN(0xcc63a682, 0x44929a72),
TOBN(0xc7eaba0c, 0x09dbe19a), TOBN(0x2f3585ad, 0x6b5c73c2),
TOBN(0x8ab8924b, 0x0ae50c30), TOBN(0x17fcd27a, 0x638b30ba),
TOBN(0xaf414d34, 0x10b3d5a5), TOBN(0x09c107d2, 0x2a9accf1),
TOBN(0x15dac49f, 0x946a6242), TOBN(0xaec3df2a, 0xd707d642),
TOBN(0x2c2492b7, 0x3f894ae0), TOBN(0xf59df3e5, 0xb75f18ce),
TOBN(0x7cb740d2, 0x8f53cad0), TOBN(0x3eb585fb, 0xc4f01294),
TOBN(0x17da0c86, 0x32c7f717), TOBN(0xeb8c795b, 0xaf943f4c),
TOBN(0x4ee23fb5, 0xf67c51d2), TOBN(0xef187575, 0x68889949),
TOBN(0xa6b4bdb2, 0x0389168b), TOBN(0xc4ecd258, 0xea577d03),
TOBN(0x3a63782b, 0x55743082), TOBN(0x6f678f4c, 0xc72f08cd),
TOBN(0x553511cf, 0x65e58dd8), TOBN(0xd53b4e3e, 0xd402c0cd),
TOBN(0x37de3e29, 0xa037c14c), TOBN(0x86b6c516, 0xc05712aa),
TOBN(0x2834da3e, 0xb38dff6f), TOBN(0xbe012c52, 0xea636be8),
TOBN(0x292d238c, 0x61dd37f8), TOBN(0x0e54523f, 0x8f8142db),
TOBN(0xe31eb436, 0x036a05d8), TOBN(0x83e3cdff, 0x1e93c0ff),
TOBN(0x3fd2fe0f, 0x50821ddf), TOBN(0xc8e19b0d, 0xff9eb33b),
TOBN(0xc8cc943f, 0xb569a5fe), TOBN(0xad0090d4, 0xd4342d75),
TOBN(0x82090b4b, 0xcaeca000), TOBN(0xca39687f, 0x1bd410eb),
TOBN(0xe7bb0df7, 0x65959d77), TOBN(0x39d78218, 0x9c964999),
TOBN(0xd87f62e8, 0xb2415451), TOBN(0xe5efb774, 0xbed76108),
TOBN(0x3ea011a4, 0xe822f0d0), TOBN(0xbc647ad1, 0x5a8704f8),
TOBN(0xbb315b35, 0x50c6820f), TOBN(0x863dec3d, 0xb7e76bec),
TOBN(0x01ff5d3a, 0xf017bfc7), TOBN(0x20054439, 0x976b8229),
TOBN(0x067fca37, 0x0bbd0d3b), TOBN(0xf63dde64, 0x7f5e3d0f),
TOBN(0x22dbefb3, 0x2a4c94e9), TOBN(0xafbff0fe, 0x96f8278a),
TOBN(0x80aea0b1, 0x3503793d), TOBN(0xb2238029, 0x5f06cd29),
TOBN(0x65703e57, 0x8ec3feca), TOBN(0x06c38314, 0x393e7053),
TOBN(0xa0b751eb, 0x7c6734c4), TOBN(0xd2e8a435, 0xc59f0f1e),
TOBN(0x147d9052, 0x5e9ca895), TOBN(0x2f4dd31e, 0x972072df),
TOBN(0xa16fda8e, 0xe6c6755c), TOBN(0xc66826ff, 0xcf196558),
TOBN(0x1f1a76a3, 0x0cf43895), TOBN(0xa9d604e0, 0x83c3097b),
TOBN(0xe1908309, 0x66390e0e), TOBN(0xa50bf753, 0xb3c85eff),
TOBN(0x0696bdde, 0xf6a70251), TOBN(0x548b801b, 0x3c6ab16a),
TOBN(0x37fcf704, 0xa4d08762), TOBN(0x090b3def, 0xdff76c4e),
TOBN(0x87e8cb89, 0x69cb9158), TOBN(0x44a90744, 0x995ece43),
TOBN(0xf85395f4, 0x0ad9fbf5), TOBN(0x49b0f6c5, 0x4fb0c82d),
TOBN(0x75d9bc15, 0xadf7cccf), TOBN(0x81a3e5d6, 0xdfa1e1b0),
TOBN(0x8c39e444, 0x249bc17e), TOBN(0xf37dccb2, 0x8ea7fd43),
TOBN(0xda654873, 0x907fba12), TOBN(0x35daa6da, 0x4a372904),
TOBN(0x0564cfc6, 0x6283a6c5), TOBN(0xd09fa4f6, 0x4a9395bf),
TOBN(0x688e9ec9, 0xaeb19a36), TOBN(0xd913f1ce, 0xc7bfbfb4),
TOBN(0x797b9a3c, 0x61c2faa6), TOBN(0x2f979bec, 0x6a0a9c12),
TOBN(0xb5969d0f, 0x359679ec), TOBN(0xebcf523d, 0x079b0460),
TOBN(0xfd6b0008, 0x10fab870), TOBN(0x3f2edcda, 0x9373a39c),
TOBN(0x0d64f9a7, 0x6f568431), TOBN(0xf848c27c, 0x02f8898c),
TOBN(0xf418ade1, 0x260b5bd5), TOBN(0xc1f3e323, 0x6973dee8),
TOBN(0x46e9319c, 0x26c185dd), TOBN(0x6d85b7d8, 0x546f0ac4),
TOBN(0x427965f2, 0x247f9d57), TOBN(0xb519b636, 0xb0035f48),
TOBN(0x6b6163a9, 0xab87d59c), TOBN(0xff9f58c3, 0x39caaa11),
TOBN(0x4ac39cde, 0x3177387b), TOBN(0x5f6557c2, 0x873e77f9),
TOBN(0x67504006, 0x36a83041), TOBN(0x9b1c96ca, 0x75ef196c),
TOBN(0xf34283de, 0xb08c7940), TOBN(0x7ea09644, 0x1128c316),
TOBN(0xb510b3b5, 0x6aa39dff), TOBN(0x59b43da2, 0x9f8e4d8c),
TOBN(0xa8ce31fd, 0x9e4c4b9f), TOBN(0x0e20be26, 0xc1303c01),
TOBN(0x18187182, 0xe8ee47c9), TOBN(0xd9687cdb, 0x7db98101),
TOBN(0x7a520e4d, 0xa1e14ff6), TOBN(0x429808ba, 0x8836d572),
TOBN(0xa37ca60d, 0x4944b663), TOBN(0xf901f7a9, 0xa3f91ae5),
TOBN(0xe4e3e76e, 0x9e36e3b1), TOBN(0x9aa219cf, 0x29d93250),
TOBN(0x347fe275, 0x056a2512), TOBN(0xa4d643d9, 0xde65d95c),
TOBN(0x9669d396, 0x699fc3ed), TOBN(0xb598dee2, 0xcf8c6bbe),
TOBN(0x682ac1e5, 0xdda9e5c6), TOBN(0x4e0d3c72, 0xcaa9fc95),
TOBN(0x17faaade, 0x772bea44), TOBN(0x5ef8428c, 0xab0009c8),
TOBN(0xcc4ce47a, 0x460ff016), TOBN(0xda6d12bf, 0x725281cb),
TOBN(0x44c67848, 0x0223aad2), TOBN(0x6e342afa, 0x36256e28),
TOBN(0x1400bb0b, 0x93a37c04), TOBN(0x62b1bc9b, 0xdd10bd96),
TOBN(0x7251adeb, 0x0dac46b7), TOBN(0x7d33b92e, 0x7be4ef51),
TOBN(0x28b2a94b, 0xe61fa29a), TOBN(0x4b2be13f, 0x06422233),
TOBN(0x36d6d062, 0x330d8d37), TOBN(0x5ef80e1e, 0xb28ca005),
TOBN(0x174d4699, 0x6d16768e), TOBN(0x9fc4ff6a, 0x628bf217),
TOBN(0x77705a94, 0x154e490d), TOBN(0x9d96dd28, 0x8d2d997a),
TOBN(0x77e2d9d8, 0xce5d72c4), TOBN(0x9d06c5a4, 0xc11c714f),
TOBN(0x02aa5136, 0x79e4a03e), TOBN(0x1386b3c2, 0x030ff28b),
TOBN(0xfe82e8a6, 0xfb283f61), TOBN(0x7df203e5, 0xf3abc3fb),
TOBN(0xeec7c351, 0x3a4d3622), TOBN(0xf7d17dbf, 0xdf762761),
TOBN(0xc3956e44, 0x522055f0), TOBN(0xde3012db, 0x8fa748db),
TOBN(0xca9fcb63, 0xbf1dcc14), TOBN(0xa56d9dcf, 0xbe4e2f3a),
TOBN(0xb86186b6, 0x8bcec9c2), TOBN(0x7cf24df9, 0x680b9f06),
TOBN(0xc46b45ea, 0xc0d29281), TOBN(0xfff42bc5, 0x07b10e12),
TOBN(0x12263c40, 0x4d289427), TOBN(0x3d5f1899, 0xb4848ec4),
TOBN(0x11f97010, 0xd040800c), TOBN(0xb4c5f529, 0x300feb20),
TOBN(0xcc543f8f, 0xde94fdcb), TOBN(0xe96af739, 0xc7c2f05e),
TOBN(0xaa5e0036, 0x882692e1), TOBN(0x09c75b68, 0x950d4ae9),
TOBN(0x62f63df2, 0xb5932a7a), TOBN(0x2658252e, 0xde0979ad),
TOBN(0x2a19343f, 0xb5e69631), TOBN(0x718c7501, 0x525b666b),
TOBN(0x26a42d69, 0xea40dc3a), TOBN(0xdc84ad22, 0xaecc018f),
TOBN(0x25c36c7b, 0x3270f04a), TOBN(0x46ba6d47, 0x50fa72ed),
TOBN(0x6c37d1c5, 0x93e58a8e), TOBN(0xa2394731, 0x120c088c),
TOBN(0xc3be4263, 0xcb6e86da), TOBN(0x2c417d36, 0x7126d038),
TOBN(0x5b70f9c5, 0x8b6f8efa), TOBN(0x671a2faa, 0x37718536),
TOBN(0xd3ced3c6, 0xb539c92b), TOBN(0xe56f1bd9, 0xa31203c2),
TOBN(0x8b096ec4, 0x9ff3c8eb), TOBN(0x2deae432, 0x43491cea),
TOBN(0x2465c6eb, 0x17943794), TOBN(0x5d267e66, 0x20586843),
TOBN(0x9d3d116d, 0xb07159d0), TOBN(0xae07a67f, 0xc1896210),
TOBN(0x8fc84d87, 0xbb961579), TOBN(0x30009e49, 0x1c1f8dd6),
TOBN(0x8a8caf22, 0xe3132819), TOBN(0xcffa197c, 0xf23ab4ff),
TOBN(0x58103a44, 0x205dd687), TOBN(0x57b796c3, 0x0ded67a2),
TOBN(0x0b9c3a6c, 0xa1779ad7), TOBN(0xa33cfe2e, 0x357c09c5),
TOBN(0x2ea29315, 0x3db4a57e), TOBN(0x91959695, 0x8ebeb52e),
TOBN(0x118db9a6, 0xe546c879), TOBN(0x8e996df4, 0x6295c8d6),
TOBN(0xdd990484, 0x55ec806b), TOBN(0x24f291ca, 0x165c1035),
TOBN(0xcca523bb, 0x440e2229), TOBN(0x324673a2, 0x73ef4d04),
TOBN(0xaf3adf34, 0x3e11ec39), TOBN(0x6136d7f1, 0xdc5968d3),
TOBN(0x7a7b2899, 0xb053a927), TOBN(0x3eaa2661, 0xae067ecd),
TOBN(0x8549b9c8, 0x02779cd9), TOBN(0x061d7940, 0xc53385ea),
TOBN(0x3e0ba883, 0xf06d18bd), TOBN(0x4ba6de53, 0xb2700843),
TOBN(0xb966b668, 0x591a9e4d), TOBN(0x93f67567, 0x7f4fa0ed),
TOBN(0x5a02711b, 0x4347237b), TOBN(0xbc041e2f, 0xe794608e),
TOBN(0x55af10f5, 0x70f73d8c), TOBN(0xd2d4d4f7, 0xbb7564f7),
TOBN(0xd7d27a89, 0xb3e93ce7), TOBN(0xf7b5a875, 0x5d3a2c1b),
TOBN(0xb29e68a0, 0x255b218a), TOBN(0xb533837e, 0x8af76754),
TOBN(0xd1b05a73, 0x579fab2e), TOBN(0xb41055a1, 0xecd74385),
TOBN(0xb2369274, 0x445e9115), TOBN(0x2972a7c4, 0xf520274e),
TOBN(0x6c08334e, 0xf678e68a), TOBN(0x4e4160f0, 0x99b057ed),
TOBN(0x3cfe11b8, 0x52ccb69a), TOBN(0x2fd1823a, 0x21c8f772),
TOBN(0xdf7f072f, 0x3298f055), TOBN(0x8c0566f9, 0xfec74a6e),
TOBN(0xe549e019, 0x5bb4d041), TOBN(0x7c3930ba, 0x9208d850),
TOBN(0xe07141fc, 0xaaa2902b), TOBN(0x539ad799, 0xe4f69ad3),
TOBN(0xa6453f94, 0x813f9ffd), TOBN(0xc58d3c48, 0x375bc2f7),
TOBN(0xb3326fad, 0x5dc64e96), TOBN(0x3aafcaa9, 0xb240e354),
TOBN(0x1d1b0903, 0xaca1e7a9), TOBN(0x4ceb9767, 0x1211b8a0),
TOBN(0xeca83e49, 0xe32a858e), TOBN(0x4c32892e, 0xae907bad),
TOBN(0xd5b42ab6, 0x2eb9b494), TOBN(0x7fde3ee2, 0x1eabae1b),
TOBN(0x13b5ab09, 0xcaf54957), TOBN(0xbfb028be, 0xe5f5d5d5),
TOBN(0x928a0650, 0x2003e2c0), TOBN(0x90793aac, 0x67476843),
TOBN(0x5e942e79, 0xc81710a0), TOBN(0x557e4a36, 0x27ccadd4),
TOBN(0x72a2bc56, 0x4bcf6d0c), TOBN(0x09ee5f43, 0x26d7b80c),
TOBN(0x6b70dbe9, 0xd4292f19), TOBN(0x56f74c26, 0x63f16b18),
TOBN(0xc23db0f7, 0x35fbb42a), TOBN(0xb606bdf6, 0x6ae10040),
TOBN(0x1eb15d4d, 0x044573ac), TOBN(0x7dc3cf86, 0x556b0ba4),
TOBN(0x97af9a33, 0xc60df6f7), TOBN(0x0b1ef85c, 0xa716ce8c),
TOBN(0x2922f884, 0xc96958be), TOBN(0x7c32fa94, 0x35690963),
TOBN(0x2d7f667c, 0xeaa00061), TOBN(0xeaaf7c17, 0x3547365c),
TOBN(0x1eb4de46, 0x87032d58), TOBN(0xc54f3d83, 0x5e2c79e0),
TOBN(0x07818df4, 0x5d04ef23), TOBN(0x55faa9c8, 0x673d41b4),
TOBN(0xced64f6f, 0x89b95355), TOBN(0x4860d2ea, 0xb7415c84),
TOBN(0x5fdb9bd2, 0x050ebad3), TOBN(0xdb53e0cc, 0x6685a5bf),
TOBN(0xb830c031, 0x9feb6593), TOBN(0xdd87f310, 0x6accff17),
TOBN(0x2303ebab, 0x9f555c10), TOBN(0x94603695, 0x287e7065),
TOBN(0xf88311c3, 0x2e83358c), TOBN(0x508dd9b4, 0xeefb0178),
TOBN(0x7ca23706, 0x2dba8652), TOBN(0x62aac5a3, 0x0047abe5),
TOBN(0x9a61d2a0, 0x8b1ea7b3), TOBN(0xd495ab63, 0xae8b1485),
TOBN(0x38740f84, 0x87052f99), TOBN(0x178ebe5b, 0xb2974eea),
TOBN(0x030bbcca, 0x5b36d17f), TOBN(0xb5e4cce3, 0xaaf86eea),
TOBN(0xb51a0220, 0x68f8e9e0), TOBN(0xa4348796, 0x09eb3e75),
TOBN(0xbe592309, 0xeef1a752), TOBN(0x5d7162d7, 0x6f2aa1ed),
TOBN(0xaebfb5ed, 0x0f007dd2), TOBN(0x255e14b2, 0xc89edd22),
TOBN(0xba85e072, 0x0303b697), TOBN(0xc5d17e25, 0xf05720ff),
TOBN(0x02b58d6e, 0x5128ebb6), TOBN(0x2c80242d, 0xd754e113),
TOBN(0x919fca5f, 0xabfae1ca), TOBN(0x937afaac, 0x1a21459b),
TOBN(0x9e0ca91c, 0x1f66a4d2), TOBN(0x194cc7f3, 0x23ec1331),
TOBN(0xad25143a, 0x8aa11690), TOBN(0xbe40ad8d, 0x09b59e08),
TOBN(0x37d60d9b, 0xe750860a), TOBN(0x6c53b008, 0xc6bf434c),
TOBN(0xb572415d, 0x1356eb80), TOBN(0xb8bf9da3, 0x9578ded8),
TOBN(0x22658e36, 0x5e8fb38b), TOBN(0x9b70ce22, 0x5af8cb22),
TOBN(0x7c00018a, 0x829a8180), TOBN(0x84329f93, 0xb81ed295),
TOBN(0x7c343ea2, 0x5f3cea83), TOBN(0x38f8655f, 0x67586536),
TOBN(0xa661a0d0, 0x1d3ec517), TOBN(0x98744652, 0x512321ae),
TOBN(0x084ca591, 0xeca92598), TOBN(0xa9bb9dc9, 0x1dcb3feb),
TOBN(0x14c54355, 0x78b4c240), TOBN(0x5ed62a3b, 0x610cafdc),
TOBN(0x07512f37, 0x1b38846b), TOBN(0x571bb70a, 0xb0e38161),
TOBN(0xb556b95b, 0x2da705d2), TOBN(0x3ef8ada6, 0xb1a08f98),
TOBN(0x85302ca7, 0xddecfbe5), TOBN(0x0e530573, 0x943105cd),
TOBN(0x60554d55, 0x21a9255d), TOBN(0x63a32fa1, 0xf2f3802a),
TOBN(0x35c8c5b0, 0xcd477875), TOBN(0x97f458ea, 0x6ad42da1),
TOBN(0x832d7080, 0xeb6b242d), TOBN(0xd30bd023, 0x3b71e246),
TOBN(0x7027991b, 0xbe31139d), TOBN(0x68797e91, 0x462e4e53),
TOBN(0x423fe20a, 0x6b4e185a), TOBN(0x82f2c67e, 0x42d9b707),
TOBN(0x25c81768, 0x4cf7811b), TOBN(0xbd53005e, 0x045bb95d),}
,
{TOBN(0xe5f649be, 0x9d8e68fd), TOBN(0xdb0f0533, 0x1b044320),
TOBN(0xf6fde9b3, 0xe0c33398), TOBN(0x92f4209b, 0x66c8cfae),
TOBN(0xe9d1afcc, 0x1a739d4b), TOBN(0x09aea75f, 0xa28ab8de),
TOBN(0x14375fb5, 0xeac6f1d0), TOBN(0x6420b560, 0x708f7aa5),
TOBN(0x9eae499c, 0x6254dc41), TOBN(0x7e293924, 0x7a837e7e),
TOBN(0x74aec08c, 0x090524a7), TOBN(0xf82b9219, 0x8d6f55f2),
TOBN(0x493c962e, 0x1402cec5), TOBN(0x9f17ca17, 0xfa2f30e7),
TOBN(0xbcd783e8, 0xe9b879cb), TOBN(0xea3d8c14, 0x5a6f145f),
TOBN(0xdede15e7, 0x5e0dee6e), TOBN(0x74f24872, 0xdc628aa2),
TOBN(0xd3e9c4fe, 0x7861bb93), TOBN(0x56d4822a, 0x6187b2e0),
TOBN(0xb66417cf, 0xc59826f9), TOBN(0xca260969, 0x2408169e),
TOBN(0xedf69d06, 0xc79ef885), TOBN(0x00031f8a, 0xdc7d138f),
TOBN(0x103c46e6, 0x0ebcf726), TOBN(0x4482b831, 0x6231470e),
TOBN(0x6f6dfaca, 0x487c2109), TOBN(0x2e0ace97, 0x62e666ef),
TOBN(0x3246a9d3, 0x1f8d1f42), TOBN(0x1b1e83f1, 0x574944d2),
TOBN(0x13dfa63a, 0xa57f334b), TOBN(0x0cf8daed, 0x9f025d81),
TOBN(0x30d78ea8, 0x00ee11c1), TOBN(0xeb053cd4, 0xb5e3dd75),
TOBN(0x9b65b13e, 0xd58c43c5), TOBN(0xc3ad49bd, 0xbd151663),
TOBN(0x99fd8e41, 0xb6427990), TOBN(0x12cf15bd, 0x707eae1e),
TOBN(0x29ad4f1b, 0x1aabb71e), TOBN(0x5143e74d, 0x07545d0e),
TOBN(0x30266336, 0xc88bdee1), TOBN(0x25f29306, 0x5876767c),
TOBN(0x9c078571, 0xc6731996), TOBN(0xc88690b2, 0xed552951),
TOBN(0x274f2c2d, 0x852705b4), TOBN(0xb0bf8d44, 0x4e09552d),
TOBN(0x7628beeb, 0x986575d1), TOBN(0x407be238, 0x7f864651),
TOBN(0x0e5e3049, 0xa639fc6b), TOBN(0xe75c35d9, 0x86003625),
TOBN(0x0cf35bd8, 0x5dcc1646), TOBN(0x8bcaced2, 0x6c26273a),
TOBN(0xe22ecf1d, 0xb5536742), TOBN(0x013dd897, 0x1a9e068b),
TOBN(0x17f411cb, 0x8a7909c5), TOBN(0x5757ac98, 0x861dd506),
TOBN(0x85de1f0d, 0x1e935abb), TOBN(0xdefd10b4, 0x154de37a),
TOBN(0xb8d9e392, 0x369cebb5), TOBN(0x54d5ef9b, 0x761324be),
TOBN(0x4d6341ba, 0x74f17e26), TOBN(0xc0a0e3c8, 0x78c1dde4),
TOBN(0xa6d77581, 0x87d918fd), TOBN(0x66876015, 0x02ca3a13),
TOBN(0xc7313e9c, 0xf36658f0), TOBN(0xc433ef1c, 0x71f8057e),
TOBN(0x85326246, 0x1b6a835a), TOBN(0xc8f05398, 0x7c86394c),
TOBN(0xff398cdf, 0xe983c4a1), TOBN(0xbf5e8162, 0x03b7b931),
TOBN(0x93193c46, 0xb7b9045b), TOBN(0x1e4ebf5d, 0xa4a6e46b),
TOBN(0xf9942a60, 0x43a24fe7), TOBN(0x29c1191e, 0xffb3492b),
TOBN(0x9f662449, 0x902fde05), TOBN(0xc792a7ac, 0x6713c32d),
TOBN(0x2fd88ad8, 0xb737982c), TOBN(0x7e3a0319, 0xa21e60e3),
TOBN(0x09b0de44, 0x7383591a), TOBN(0x6df141ee, 0x8310a456),
TOBN(0xaec1a039, 0xe6d6f471), TOBN(0x14b2ba0f, 0x1198d12e),
TOBN(0xebc1a160, 0x3aeee5ac), TOBN(0x401f4836, 0xe0b964ce),
TOBN(0x2ee43796, 0x4fd03f66), TOBN(0x3fdb4e49, 0xdd8f3f12),
TOBN(0x6ef267f6, 0x29380f18), TOBN(0x3e8e9670, 0x8da64d16),
TOBN(0xbc19180c, 0x207674f1), TOBN(0x112e09a7, 0x33ae8fdb),
TOBN(0x99667554, 0x6aaeb71e), TOBN(0x79432af1, 0xe101b1c7),
TOBN(0xd5eb558f, 0xde2ddec6), TOBN(0x81392d1f, 0x5357753f),
TOBN(0xa7a76b97, 0x3ae1158a), TOBN(0x416fbbff, 0x4a899991),
TOBN(0x9e65fdfd, 0x0d4a9dcf), TOBN(0x7bc29e48, 0x944ddf12),
TOBN(0xbc1a92d9, 0x3c856866), TOBN(0x273c6905, 0x6e98dfe2),
TOBN(0x69fce418, 0xcdfaa6b8), TOBN(0x606bd823, 0x5061c69f),
TOBN(0x42d495a0, 0x6af75e27), TOBN(0x8ed3d505, 0x6d873a1f),
TOBN(0xaf552841, 0x6ab25b6a), TOBN(0xc6c0ffc7, 0x2b1a4523),
TOBN(0xab18827b, 0x21c99e03), TOBN(0x060e8648, 0x9034691b),
TOBN(0x5207f90f, 0x93c7f398), TOBN(0x9f4a96cb, 0x82f8d10b),
TOBN(0xdd71cd79, 0x3ad0f9e3), TOBN(0x84f435d2, 0xfc3a54f5),
TOBN(0x4b03c55b, 0x8e33787f), TOBN(0xef42f975, 0xa6384673),
TOBN(0xff7304f7, 0x5051b9f0), TOBN(0x18aca1dc, 0x741c87c2),
TOBN(0x56f120a7, 0x2d4bfe80), TOBN(0xfd823b3d, 0x053e732c),
TOBN(0x11bccfe4, 0x7537ca16), TOBN(0xdf6c9c74, 0x1b5a996b),
TOBN(0xee7332c7, 0x904fc3fa), TOBN(0x14a23f45, 0xc7e3636a),
TOBN(0xc38659c3, 0xf091d9aa), TOBN(0x4a995e5d, 0xb12d8540),
TOBN(0x20a53bec, 0xf3a5598a), TOBN(0x56534b17, 0xb1eaa995),
TOBN(0x9ed3dca4, 0xbf04e03c), TOBN(0x716c563a, 0xd8d56268),
TOBN(0x27ba77a4, 0x1d6178e7), TOBN(0xe4c80c40, 0x68a1ff8e),
TOBN(0x75011099, 0x0a13f63d), TOBN(0x7bf33521, 0xa61d46f3),
TOBN(0x0aff218e, 0x10b365bb), TOBN(0x81021804, 0x0fd7ea75),
TOBN(0x05a3fd8a, 0xa4b3a925), TOBN(0xb829e75f, 0x9b3db4e6),
TOBN(0x6bdc75a5, 0x4d53e5fb), TOBN(0x04a5dc02, 0xd52717e3),
TOBN(0x86af502f, 0xe9a42ec2), TOBN(0x8867e8fb, 0x2630e382),
TOBN(0xbf845c6e, 0xbec9889b), TOBN(0x54f491f2, 0xcb47c98d),
TOBN(0xa3091fba, 0x790c2a12), TOBN(0xd7f6fd78, 0xc20f708b),
TOBN(0xa569ac30, 0xacde5e17), TOBN(0xd0f996d0, 0x6852b4d7),
TOBN(0xe51d4bb5, 0x4609ae54), TOBN(0x3fa37d17, 0x0daed061),
TOBN(0x62a88684, 0x34b8fb41), TOBN(0x99a2acbd, 0x9efb64f1),
TOBN(0xb75c1a5e, 0x6448e1f2), TOBN(0xfa99951a, 0x42b5a069),
TOBN(0x6d956e89, 0x2f3b26e7), TOBN(0xf4709860, 0xda875247),
TOBN(0x3ad15179, 0x2482dda3), TOBN(0xd64110e3, 0x017d82f0),
TOBN(0x14928d2c, 0xfad414e4), TOBN(0x2b155f58, 0x2ed02b24),
TOBN(0x481a141b, 0xcb821bf1), TOBN(0x12e3c770, 0x4f81f5da),
TOBN(0xe49c5de5, 0x9fff8381), TOBN(0x11053232, 0x5bbec894),
TOBN(0xa0d051cc, 0x454d88c4), TOBN(0x4f6db89c, 0x1f8e531b),
TOBN(0x34fe3fd6, 0xca563a44), TOBN(0x7f5c2215, 0x58da8ab9),
TOBN(0x8445016d, 0x9474f0a1), TOBN(0x17d34d61, 0xcb7d8a0a),
TOBN(0x8e9d3910, 0x1c474019), TOBN(0xcaff2629, 0xd52ceefb),
TOBN(0xf9cf3e32, 0xc1622c2b), TOBN(0xd4b95e3c, 0xe9071a05),
TOBN(0xfbbca61f, 0x1594438c), TOBN(0x1eb6e6a6, 0x04aadedf),
TOBN(0x853027f4, 0x68e14940), TOBN(0x221d322a, 0xdfabda9c),
TOBN(0xed8ea9f6, 0xb7cb179a), TOBN(0xdc7b764d, 0xb7934dcc),
TOBN(0xfcb13940, 0x5e09180d), TOBN(0x6629a6bf, 0xb47dc2dd),
TOBN(0xbfc55e4e, 0x9f5a915e), TOBN(0xb1db9d37, 0x6204441e),
TOBN(0xf82d68cf, 0x930c5f53), TOBN(0x17d3a142, 0xcbb605b1),
TOBN(0xdd5944ea, 0x308780f2), TOBN(0xdc8de761, 0x3845f5e4),
TOBN(0x6beaba7d, 0x7624d7a3), TOBN(0x1e709afd, 0x304df11e),
TOBN(0x95364376, 0x02170456), TOBN(0xbf204b3a, 0xc8f94b64),
TOBN(0x4e53af7c, 0x5680ca68), TOBN(0x0526074a, 0xe0c67574),
TOBN(0x95d8cef8, 0xecd92af6), TOBN(0xe6b9fa7a, 0x6cd1745a),
TOBN(0x3d546d3d, 0xa325c3e4), TOBN(0x1f57691d, 0x9ae93aae),
TOBN(0xe891f3fe, 0x9d2e1a33), TOBN(0xd430093f, 0xac063d35),
TOBN(0xeda59b12, 0x5513a327), TOBN(0xdc2134f3, 0x5536f18f),
TOBN(0xaa51fe2c, 0x5c210286), TOBN(0x3f68aaee, 0x1cab658c),
TOBN(0x5a23a00b, 0xf9357292), TOBN(0x9a626f39, 0x7efdabed),
TOBN(0xfe2b3bf3, 0x199d78e3), TOBN(0xb7a2af77, 0x71bbc345),
TOBN(0x3d19827a, 0x1e59802c), TOBN(0x823bbc15, 0xb487a51c),
TOBN(0x856139f2, 0x99d0a422), TOBN(0x9ac3df65, 0xf456c6fb),
TOBN(0xaddf65c6, 0x701f8bd6), TOBN(0x149f321e, 0x3758df87),
TOBN(0xb1ecf714, 0x721b7eba), TOBN(0xe17df098, 0x31a3312a),
TOBN(0xdb2fd6ec, 0xd5c4d581), TOBN(0xfd02996f, 0x8fcea1b3),
TOBN(0xe29fa63e, 0x7882f14f), TOBN(0xc9f6dc35, 0x07c6cadc),
TOBN(0x46f22d6f, 0xb882bed0), TOBN(0x1a45755b, 0xd118e52c),
TOBN(0x9f2c7c27, 0x7c4608cf), TOBN(0x7ccbdf32, 0x568012c2),
TOBN(0xfcb0aedd, 0x61729b0e), TOBN(0x7ca2ca9e, 0xf7d75dbf),
TOBN(0xf58fecb1, 0x6f640f62), TOBN(0xe274b92b, 0x39f51946),
TOBN(0x7f4dfc04, 0x6288af44), TOBN(0x0a91f32a, 0xeac329e5),
TOBN(0x43ad274b, 0xd6aaba31), TOBN(0x719a1640, 0x0f6884f9),
TOBN(0x685d29f6, 0xdaf91e20), TOBN(0x5ec1cc33, 0x27e49d52),
TOBN(0x38f4de96, 0x3b54a059), TOBN(0x0e0015e5, 0xefbcfdb3),
TOBN(0x177d23d9, 0x4dbb8da6), TOBN(0x98724aa2, 0x97a617ad),
TOBN(0x30f0885b, 0xfdb6558e), TOBN(0xf9f7a28a, 0xc7899a96),
TOBN(0xd2ae8ac8, 0x872dc112), TOBN(0xfa0642ca, 0x73c3c459),
TOBN(0x15296981, 0xe7dfc8d6), TOBN(0x67cd4450, 0x1fb5b94a),
TOBN(0x0ec71cf1, 0x0eddfd37), TOBN(0xc7e5eeb3, 0x9a8eddc7),
TOBN(0x02ac8e3d, 0x81d95028), TOBN(0x0088f172, 0x70b0e35d),
TOBN(0xec041fab, 0xe1881fe3), TOBN(0x62cf71b8, 0xd99e7faa),
TOBN(0x5043dea7, 0xe0f222c2), TOBN(0x309d42ac, 0x72e65142),
TOBN(0x94fe9ddd, 0x9216cd30), TOBN(0xd6539c7d, 0x0f87feec),
TOBN(0x03c5a57c, 0x432ac7d7), TOBN(0x72692cf0, 0x327fda10),
TOBN(0xec28c85f, 0x280698de), TOBN(0x2331fb46, 0x7ec283b1),
TOBN(0xd34bfa32, 0x2867e633), TOBN(0x78709a82, 0x0a9cc815),
TOBN(0xb7fe6964, 0x875e2fa5), TOBN(0x25cc064f, 0x9e98bfb5),
TOBN(0x9eb0151c, 0x493a65c5), TOBN(0x5fb5d941, 0x53182464),
TOBN(0x69e6f130, 0xf04618e2), TOBN(0xa8ecec22, 0xf89c8ab6),
TOBN(0xcd6ac88b, 0xb96209bd), TOBN(0x65fa8cdb, 0xb3e1c9e0),
TOBN(0xa47d22f5, 0x4a8d8eac), TOBN(0x83895cdf, 0x8d33f963),
TOBN(0xa8adca59, 0xb56cd3d1), TOBN(0x10c8350b, 0xdaf38232),
TOBN(0x2b161fb3, 0xa5080a9f), TOBN(0xbe7f5c64, 0x3af65b3a),
TOBN(0x2c754039, 0x97403a11), TOBN(0x94626cf7, 0x121b96af),
TOBN(0x431de7c4, 0x6a983ec2), TOBN(0x3780dd3a, 0x52cc3df7),
TOBN(0xe28a0e46, 0x2baf8e3b), TOBN(0xabe68aad, 0x51d299ae),
TOBN(0x603eb8f9, 0x647a2408), TOBN(0x14c61ed6, 0x5c750981),
TOBN(0x88b34414, 0xc53352e7), TOBN(0x5a34889c, 0x1337d46e),
TOBN(0x612c1560, 0xf95f2bc8), TOBN(0x8a3f8441, 0xd4807a3a),
TOBN(0x680d9e97, 0x5224da68), TOBN(0x60cd6e88, 0xc3eb00e9),
TOBN(0x3875a98e, 0x9a6bc375), TOBN(0xdc80f924, 0x4fd554c2),
TOBN(0x6c4b3415, 0x6ac77407), TOBN(0xa1e5ea8f, 0x25420681),
TOBN(0x541bfa14, 0x4607a458), TOBN(0x5dbc7e7a, 0x96d7fbf9),
TOBN(0x646a851b, 0x31590a47), TOBN(0x039e85ba, 0x15ee6df8),
TOBN(0xd19fa231, 0xd7b43fc0), TOBN(0x84bc8be8, 0x299a0e04),
TOBN(0x2b9d2936, 0xf20df03a), TOBN(0x24054382, 0x8608d472),
TOBN(0x76b6ba04, 0x9149202a), TOBN(0xb21c3831, 0x3670e7b7),
TOBN(0xddd93059, 0xd6fdee10), TOBN(0x9da47ad3, 0x78488e71),
TOBN(0x99cc1dfd, 0xa0fcfb25), TOBN(0x42abde10, 0x64696954),
TOBN(0x14cc15fc, 0x17eab9fe), TOBN(0xd6e863e4, 0xd3e70972),
TOBN(0x29a7765c, 0x6432112c), TOBN(0x88660001, 0x5b0774d8),
TOBN(0x3729175a, 0x2c088eae), TOBN(0x13afbcae, 0x8230b8d4),
TOBN(0x44768151, 0x915f4379), TOBN(0xf086431a, 0xd8d22812),
TOBN(0x37461955, 0xc298b974), TOBN(0x905fb5f0, 0xf8711e04),
TOBN(0x787abf3a, 0xfe969d18), TOBN(0x392167c2, 0x6f6a494e),
TOBN(0xfc7a0d2d, 0x28c511da), TOBN(0xf127c7dc, 0xb66a262d),
TOBN(0xf9c4bb95, 0xfd63fdf0), TOBN(0x90016589, 0x3913ef46),
TOBN(0x74d2a73c, 0x11aa600d), TOBN(0x2f5379bd, 0x9fb5ab52),
TOBN(0xe49e53a4, 0x7fb70068), TOBN(0x68dd39e5, 0x404aa9a7),
TOBN(0xb9b0cf57, 0x2ecaa9c3), TOBN(0xba0e103b, 0xe824826b),
TOBN(0x60c2198b, 0x4631a3c4), TOBN(0xc5ff84ab, 0xfa8966a2),
TOBN(0x2d6ebe22, 0xac95aff8), TOBN(0x1c9bb6db, 0xb5a46d09),
TOBN(0x419062da, 0x53ee4f8d), TOBN(0x7b9042d0, 0xbb97efef),
TOBN(0x0f87f080, 0x830cf6bd), TOBN(0x4861d19a, 0x6ec8a6c6),
TOBN(0xd3a0daa1, 0x202f01aa), TOBN(0xb0111674, 0xf25afbd5),
TOBN(0x6d00d6cf, 0x1afb20d9), TOBN(0x13695000, 0x40671bc5),
TOBN(0x913ab0dc, 0x2485ea9b), TOBN(0x1f2bed06, 0x9eef61ac),
TOBN(0x850c8217, 0x6d799e20), TOBN(0x93415f37, 0x3271c2de),
TOBN(0x5afb06e9, 0x6c4f5910), TOBN(0x688a52df, 0xc4e9e421),
TOBN(0x30495ba3, 0xe2a9a6db), TOBN(0x4601303d, 0x58f9268b),
TOBN(0xbe3b0dad, 0x7eb0f04f), TOBN(0x4ea47250, 0x4456936d),
TOBN(0x8caf8798, 0xd33fd3e7), TOBN(0x1ccd8a89, 0xeb433708),
TOBN(0x9effe3e8, 0x87fd50ad), TOBN(0xbe240a56, 0x6b29c4df),
TOBN(0xec4ffd98, 0xca0e7ebd), TOBN(0xf586783a, 0xe748616e),
TOBN(0xa5b00d8f, 0xc77baa99), TOBN(0x0acada29, 0xb4f34c9c),
TOBN(0x36dad67d, 0x0fe723ac), TOBN(0x1d8e53a5, 0x39c36c1e),
TOBN(0xe4dd342d, 0x1f4bea41), TOBN(0x64fd5e35, 0xebc9e4e0),
TOBN(0x96f01f90, 0x57908805), TOBN(0xb5b9ea3d, 0x5ed480dd),
TOBN(0x366c5dc2, 0x3efd2dd0), TOBN(0xed2fe305, 0x6e9dfa27),
TOBN(0x4575e892, 0x6e9197e2), TOBN(0x11719c09, 0xab502a5d),
TOBN(0x264c7bec, 0xe81f213f), TOBN(0x741b9241, 0x55f5c457),
TOBN(0x78ac7b68, 0x49a5f4f4), TOBN(0xf91d70a2, 0x9fc45b7d),
TOBN(0x39b05544, 0xb0f5f355), TOBN(0x11f06bce, 0xeef930d9),
TOBN(0xdb84d25d, 0x038d05e1), TOBN(0x04838ee5, 0xbacc1d51),
TOBN(0x9da3ce86, 0x9e8ee00b), TOBN(0xc3412057, 0xc36eda1f),
TOBN(0xae80b913, 0x64d9c2f4), TOBN(0x7468bac3, 0xa010a8ff),
TOBN(0xdfd20037, 0x37359d41), TOBN(0x1a0f5ab8, 0x15efeacc),
TOBN(0x7c25ad2f, 0x659d0ce0), TOBN(0x4011bcbb, 0x6785cff1),
TOBN(0x128b9912, 0x7e2192c7), TOBN(0xa549d8e1, 0x13ccb0e8),
TOBN(0x805588d8, 0xc85438b1), TOBN(0x5680332d, 0xbc25cb27),
TOBN(0xdcd1bc96, 0x1a4bfdf4), TOBN(0x779ff428, 0x706f6566),
TOBN(0x8bbee998, 0xf059987a), TOBN(0xf6ce8cf2, 0xcc686de7),
TOBN(0xf8ad3c4a, 0x953cfdb2), TOBN(0xd1d426d9, 0x2205da36),
TOBN(0xb3c0f13f, 0xc781a241), TOBN(0x3e89360e, 0xd75362a8),
TOBN(0xccd05863, 0xc8a91184), TOBN(0x9bd0c9b7, 0xefa8a7f4),
TOBN(0x97ee4d53, 0x8a912a4b), TOBN(0xde5e15f8, 0xbcf518fd),
TOBN(0x6a055bf8, 0xc467e1e0), TOBN(0x10be4b4b, 0x1587e256),
TOBN(0xd90c14f2, 0x668621c9), TOBN(0xd5518f51, 0xab9c92c1),
TOBN(0x8e6a0100, 0xd6d47b3c), TOBN(0xcbe980dd, 0x66716175),
TOBN(0x500d3f10, 0xddd83683), TOBN(0x3b6cb35d, 0x99cac73c),
TOBN(0x53730c8b, 0x6083d550), TOBN(0xcf159767, 0xdf0a1987),
TOBN(0x84bfcf53, 0x43ad73b3), TOBN(0x1b528c20, 0x4f035a94),
TOBN(0x4294edf7, 0x33eeac69), TOBN(0xb6283e83, 0x817f3240),
TOBN(0xc3fdc959, 0x0a5f25b1), TOBN(0xefaf8aa5, 0x5844ee22),
TOBN(0xde269ba5, 0xdbdde4de), TOBN(0xe3347160, 0xc56133bf),
TOBN(0xc1184219, 0x8d9ea9f8), TOBN(0x090de5db, 0xf3fc1ab5),
TOBN(0x404c37b1, 0x0bf22cda), TOBN(0x7de20ec8, 0xf5618894),
TOBN(0x754c588e, 0xecdaecab), TOBN(0x6ca4b0ed, 0x88342743),
TOBN(0x76f08bdd, 0xf4a938ec), TOBN(0xd182de89, 0x91493ccb),
TOBN(0xd652c53e, 0xc8a4186a), TOBN(0xb3e878db, 0x946d8e33),
TOBN(0x088453c0, 0x5f37663c), TOBN(0x5cd9daaa, 0xb407748b),
TOBN(0xa1f5197f, 0x586d5e72), TOBN(0x47500be8, 0xc443ca59),
TOBN(0x78ef35b2, 0xe2652424), TOBN(0x09c5d26f, 0x6dd7767d),
TOBN(0x7175a79a, 0xa74d3f7b), TOBN(0x0428fd8d, 0xcf5ea459),
TOBN(0x511cb97c, 0xa5d1746d), TOBN(0x36363939, 0xe71d1278),
TOBN(0xcf2df955, 0x10350bf4), TOBN(0xb3817439, 0x60aae782),
TOBN(0xa748c0e4, 0x3e688809), TOBN(0x98021fbf, 0xd7a5a006),
TOBN(0x9076a70c, 0x0e367a98), TOBN(0xbea1bc15, 0x0f62b7c2),
TOBN(0x2645a68c, 0x30fe0343), TOBN(0xacaffa78, 0x699dc14f),
TOBN(0xf4469964, 0x457bf9c4), TOBN(0x0db6407b, 0x0d2ead83),
TOBN(0x68d56cad, 0xb2c6f3eb), TOBN(0x3b512e73, 0xf376356c),
TOBN(0xe43b0e1f, 0xfce10408), TOBN(0x89ddc003, 0x5a5e257d),
TOBN(0xb0ae0d12, 0x0362e5b3), TOBN(0x07f983c7, 0xb0519161),
TOBN(0xc2e94d15, 0x5d5231e7), TOBN(0xcff22aed, 0x0b4f9513),
TOBN(0xb02588dd, 0x6ad0b0b5), TOBN(0xb967d1ac, 0x11d0dcd5),
TOBN(0x8dac6bc6, 0xcf777b6c), TOBN(0x0062bdbd, 0x4c6d1959),
TOBN(0x53da71b5, 0x0ef5cc85), TOBN(0x07012c7d, 0x4006f14f),
TOBN(0x4617f962, 0xac47800d), TOBN(0x53365f2b, 0xc102ed75),
TOBN(0xb422efcb, 0x4ab8c9d3), TOBN(0x195cb26b, 0x34af31c9),
TOBN(0x3a926e29, 0x05f2c4ce), TOBN(0xbd2bdecb, 0x9856966c),
TOBN(0x5d16ab3a, 0x85527015), TOBN(0x9f81609e, 0x4486c231),
TOBN(0xd8b96b2c, 0xda350002), TOBN(0xbd054690, 0xfa1b7d36),
TOBN(0xdc90ebf5, 0xe71d79bc), TOBN(0xf241b6f9, 0x08964e4e),
TOBN(0x7c838643, 0x2fe3cd4c), TOBN(0xe0f33acb, 0xb4bc633c),
TOBN(0xb4a9ecec, 0x3d139f1f), TOBN(0x05ce69cd, 0xdc4a1f49),
TOBN(0xa19d1b16, 0xf5f98aaf), TOBN(0x45bb71d6, 0x6f23e0ef),
TOBN(0x33789fcd, 0x46cdfdd3), TOBN(0x9b8e2978, 0xcee040ca),
TOBN(0x9c69b246, 0xae0a6828), TOBN(0xba533d24, 0x7078d5aa),
TOBN(0x7a2e42c0, 0x7bb4fbdb), TOBN(0xcfb4879a, 0x7035385c),
TOBN(0x8c3dd30b, 0x3281705b), TOBN(0x7e361c6c, 0x404fe081),
TOBN(0x7b21649c, 0x3f604edf), TOBN(0x5dbf6a3f, 0xe52ffe47),
TOBN(0xc41b7c23, 0x4b54d9bf), TOBN(0x1374e681, 0x3511c3d9),
TOBN(0x1863bf16, 0xc1b2b758), TOBN(0x90e78507, 0x1e9e6a96),
TOBN(0xab4bf98d, 0x5d86f174), TOBN(0xd74e0bd3, 0x85e96fe4),
TOBN(0x8afde39f, 0xcac5d344), TOBN(0x90946dbc, 0xbd91b847),
TOBN(0xf5b42358, 0xfe1a838c), TOBN(0x05aae6c5, 0x620ac9d8),
TOBN(0x8e193bd8, 0xa1ce5a0b), TOBN(0x8f710571, 0x4dabfd72),
TOBN(0x8d8fdd48, 0x182caaac), TOBN(0x8c4aeefa, 0x040745cf),
TOBN(0x73c6c30a, 0xf3b93e6d), TOBN(0x991241f3, 0x16f42011),
TOBN(0xa0158eea, 0xe457a477), TOBN(0xd19857db, 0xee6ddc05),
TOBN(0xb3265224, 0x18c41671), TOBN(0x3ffdfc7e, 0x3c2c0d58),
TOBN(0x3a3a5254, 0x26ee7cda), TOBN(0x341b0869, 0xdf02c3a8),
TOBN(0xa023bf42, 0x723bbfc8), TOBN(0x3d15002a, 0x14452691),}
,
{TOBN(0x5ef7324c, 0x85edfa30), TOBN(0x25976554, 0x87d4f3da),
TOBN(0x352f5bc0, 0xdcb50c86), TOBN(0x8f6927b0, 0x4832a96c),
TOBN(0xd08ee1ba, 0x55f2f94c), TOBN(0x6a996f99, 0x344b45fa),
TOBN(0xe133cb8d, 0xa8aa455d), TOBN(0x5d0721ec, 0x758dc1f7),
TOBN(0x6ba7a920, 0x79e5fb67), TOBN(0xe1331feb, 0x70aa725e),
TOBN(0x5080ccf5, 0x7df5d837), TOBN(0xe4cae01d, 0x7ff72e21),
TOBN(0xd9243ee6, 0x0412a77d), TOBN(0x06ff7cac, 0xdf449025),
TOBN(0xbe75f7cd, 0x23ef5a31), TOBN(0xbc957822, 0x0ddef7a8),
TOBN(0x8cf7230c, 0xb0ce1c55), TOBN(0x5b534d05, 0x0bbfb607),
TOBN(0xee1ef113, 0x0e16363b), TOBN(0x27e0aa7a, 0xb4999e82),
TOBN(0xce1dac2d, 0x79362c41), TOBN(0x67920c90, 0x91bb6cb0),
TOBN(0x1e648d63, 0x2223df24), TOBN(0x0f7d9eef, 0xe32e8f28),
TOBN(0x6943f39a, 0xfa833834), TOBN(0x22951722, 0xa6328562),
TOBN(0x81d63dd5, 0x4170fc10), TOBN(0x9f5fa58f, 0xaecc2e6d),
TOBN(0xb66c8725, 0xe77d9a3b), TOBN(0x11235cea, 0x6384ebe0),
TOBN(0x06a8c118, 0x5845e24a), TOBN(0x0137b286, 0xebd093b1),
TOBN(0xc589e1ce, 0x44ace150), TOBN(0xe0f8d3d9, 0x4381e97c),
TOBN(0x59e99b11, 0x62c5a4b8), TOBN(0x90d262f7, 0xfd0ec9f9),
TOBN(0xfbc854c9, 0x283e13c9), TOBN(0x2d04fde7, 0xaedc7085),
TOBN(0x057d7765, 0x47dcbecb), TOBN(0x8dbdf591, 0x9a76fa5f),
TOBN(0xd0150695, 0x0de1e578), TOBN(0x2e1463e7, 0xe9f72bc6),
TOBN(0xffa68441, 0x1b39eca5), TOBN(0x673c8530, 0x7c037f2f),
TOBN(0xd0d6a600, 0x747f91da), TOBN(0xb08d43e1, 0xc9cb78e9),
TOBN(0x0fc0c644, 0x27b5cef5), TOBN(0x5c1d160a, 0xa60a2fd6),
TOBN(0xf98cae53, 0x28c8e13b), TOBN(0x375f10c4, 0xb2eddcd1),
TOBN(0xd4eb8b7f, 0x5cce06ad), TOBN(0xb4669f45, 0x80a2e1ef),
TOBN(0xd593f9d0, 0x5bbd8699), TOBN(0x5528a4c9, 0xe7976d13),
TOBN(0x3923e095, 0x1c7e28d3), TOBN(0xb9293790, 0x3f6bb577),
TOBN(0xdb567d6a, 0xc42bd6d2), TOBN(0x6df86468, 0xbb1f96ae),
TOBN(0x0efe5b1a, 0x4843b28e), TOBN(0x961bbb05, 0x6379b240),
TOBN(0xb6caf5f0, 0x70a6a26b), TOBN(0x70686c0d, 0x328e6e39),
TOBN(0x80da06cf, 0x895fc8d3), TOBN(0x804d8810, 0xb363fdc9),
TOBN(0xbe22877b, 0x207f1670), TOBN(0x9b0dd188, 0x4e615291),
TOBN(0x625ae8dc, 0x97a3c2bf), TOBN(0x08584ef7, 0x439b86e8),
TOBN(0xde7190a5, 0xdcd898ff), TOBN(0x26286c40, 0x2058ee3d),
TOBN(0x3db0b217, 0x5f87b1c1), TOBN(0xcc334771, 0x102a6db5),
TOBN(0xd99de954, 0x2f770fb1), TOBN(0x97c1c620, 0x4cd7535e),
TOBN(0xd3b6c448, 0x3f09cefc), TOBN(0xd725af15, 0x5a63b4f8),
TOBN(0x0c95d24f, 0xc01e20ec), TOBN(0xdfd37494, 0x9ae7121f),
TOBN(0x7d6ddb72, 0xec77b7ec), TOBN(0xfe079d3b, 0x0353a4ae),
TOBN(0x3066e70a, 0x2e6ac8d2), TOBN(0x9c6b5a43, 0x106e5c05),
TOBN(0x52d3c6f5, 0xede59b8c), TOBN(0x30d6a5c3, 0xfccec9ae),
TOBN(0xedec7c22, 0x4fc0a9ef), TOBN(0x190ff083, 0x95c16ced),
TOBN(0xbe12ec8f, 0x94de0fde), TOBN(0x0d131ab8, 0x852d3433),
TOBN(0x42ace07e, 0x85701291), TOBN(0x94793ed9, 0x194061a8),
TOBN(0x30e83ed6, 0xd7f4a485), TOBN(0x9eec7269, 0xf9eeff4d),
TOBN(0x90acba59, 0x0c9d8005), TOBN(0x5feca458, 0x1e79b9d1),
TOBN(0x8fbe5427, 0x1d506a1e), TOBN(0xa32b2c8e, 0x2439cfa7),
TOBN(0x1671c173, 0x73dd0b4e), TOBN(0x37a28214, 0x44a054c6),
TOBN(0x81760a1b, 0x4e8b53f1), TOBN(0xa6c04224, 0xf9f93b9e),
TOBN(0x18784b34, 0xcf671e3c), TOBN(0x81bbecd2, 0xcda9b994),
TOBN(0x38831979, 0xb2ab3848), TOBN(0xef54feb7, 0xf2e03c2d),
TOBN(0xcf197ca7, 0xfb8088fa), TOBN(0x01427247, 0x4ddc96c5),
TOBN(0xa2d2550a, 0x30777176), TOBN(0x53469898, 0x4d0cf71d),
TOBN(0x6ce937b8, 0x3a2aaac6), TOBN(0xe9f91dc3, 0x5af38d9b),
TOBN(0x2598ad83, 0xc8bf2899), TOBN(0x8e706ac9, 0xb5536c16),
TOBN(0x40dc7495, 0xf688dc98), TOBN(0x26490cd7, 0x124c4afc),
TOBN(0xe651ec84, 0x1f18775c), TOBN(0x393ea6c3, 0xb4fdaf4a),
TOBN(0x1e1f3343, 0x7f338e0d), TOBN(0x39fb832b, 0x6053e7b5),
TOBN(0x46e702da, 0x619e14d5), TOBN(0x859cacd1, 0xcdeef6e0),
TOBN(0x63b99ce7, 0x4462007d), TOBN(0xb8ab48a5, 0x4cb5f5b7),
TOBN(0x9ec673d2, 0xf55edde7), TOBN(0xd1567f74, 0x8cfaefda),
TOBN(0x46381b6b, 0x0887bcec), TOBN(0x694497ce, 0xe178f3c2),
TOBN(0x5e6525e3, 0x1e6266cb), TOBN(0x5931de26, 0x697d6413),
TOBN(0x87f8df7c, 0x0e58d493), TOBN(0xb1ae5ed0, 0x58b73f12),
TOBN(0xc368f784, 0xdea0c34d), TOBN(0x9bd0a120, 0x859a91a0),
TOBN(0xb00d88b7, 0xcc863c68), TOBN(0x3a1cc11e, 0x3d1f4d65),
TOBN(0xea38e0e7, 0x0aa85593), TOBN(0x37f13e98, 0x7dc4aee8),
TOBN(0x10d38667, 0xbc947bad), TOBN(0x738e07ce, 0x2a36ee2e),
TOBN(0xc93470cd, 0xc577fcac), TOBN(0xdee1b616, 0x2782470d),
TOBN(0x36a25e67, 0x2e793d12), TOBN(0xd6aa6cae, 0xe0f186da),
TOBN(0x474d0fd9, 0x80e07af7), TOBN(0xf7cdc47d, 0xba8a5cd4),
TOBN(0x28af6d9d, 0xab15247f), TOBN(0x7c789c10, 0x493a537f),
TOBN(0x7ac9b110, 0x23a334e7), TOBN(0x0236ac09, 0x12c9c277),
TOBN(0xa7e5bd25, 0x1d7a5144), TOBN(0x098b9c2a, 0xf13ec4ec),
TOBN(0x3639daca, 0xd3f0abca), TOBN(0x642da81a, 0xa23960f9),
TOBN(0x7d2e5c05, 0x4f7269b1), TOBN(0xfcf30777, 0xe287c385),
TOBN(0x10edc84f, 0xf2a46f21), TOBN(0x35441757, 0x4f43fa36),
TOBN(0xf1327899, 0xfd703431), TOBN(0xa438d7a6, 0x16dd587a),
TOBN(0x65c34c57, 0xe9c8352d), TOBN(0xa728edab, 0x5cc5a24e),
TOBN(0xaed78abc, 0x42531689), TOBN(0x0a51a0e8, 0x010963ef),
TOBN(0x5776fa0a, 0xd717d9b3), TOBN(0xf356c239, 0x7dd3428b),
TOBN(0x29903fff, 0x8d3a3dac), TOBN(0x409597fa, 0x3d94491f),
TOBN(0x4cd7a5ff, 0xbf4a56a4), TOBN(0xe5096474, 0x8adab462),
TOBN(0xa97b5126, 0x5c3427b0), TOBN(0x6401405c, 0xd282c9bd),
TOBN(0x3629f8d7, 0x222c5c45), TOBN(0xb1c02c16, 0xe8d50aed),
TOBN(0xbea2ed75, 0xd9635bc9), TOBN(0x226790c7, 0x6e24552f),
TOBN(0x3c33f2a3, 0x65f1d066), TOBN(0x2a43463e, 0x6dfccc2e),
TOBN(0x8cc3453a, 0xdb483761), TOBN(0xe7cc6085, 0x65d5672b),
TOBN(0x277ed6cb, 0xde3efc87), TOBN(0x19f2f368, 0x69234eaf),
TOBN(0x9aaf4317, 0x5c0b800b), TOBN(0x1f1e7c89, 0x8b6da6e2),
TOBN(0x6cfb4715, 0xb94ec75e), TOBN(0xd590dd5f, 0x453118c2),
TOBN(0x14e49da1, 0x1f17a34c), TOBN(0x5420ab39, 0x235a1456),
TOBN(0xb7637241, 0x2f50363b), TOBN(0x7b15d623, 0xc3fabb6e),
TOBN(0xa0ef40b1, 0xe274e49c), TOBN(0x5cf50744, 0x96b1860a),
TOBN(0xd6583fbf, 0x66afe5a4), TOBN(0x44240510, 0xf47e3e9a),
TOBN(0x99254343, 0x11b2d595), TOBN(0xf1367499, 0xeec8df57),
TOBN(0x3cb12c61, 0x3e73dd05), TOBN(0xd248c033, 0x7dac102a),
TOBN(0xcf154f13, 0xa77739f5), TOBN(0xbf4288cb, 0x23d2af42),
TOBN(0xaa64c9b6, 0x32e4a1cf), TOBN(0xee8c07a8, 0xc8a208f3),
TOBN(0xe10d4999, 0x6fe8393f), TOBN(0x0f809a3f, 0xe91f3a32),
TOBN(0x61096d1c, 0x802f63c8), TOBN(0x289e1462, 0x57750d3d),
TOBN(0xed06167e, 0x9889feea), TOBN(0xd5c9c0e2, 0xe0993909),
TOBN(0x46fca0d8, 0x56508ac6), TOBN(0x91826047, 0x4f1b8e83),
TOBN(0x4f2c877a, 0x9a4a2751), TOBN(0x71bd0072, 0xcae6fead),
TOBN(0x38df8dcc, 0x06aa1941), TOBN(0x5a074b4c, 0x63beeaa8),
TOBN(0xd6d65934, 0xc1cec8ed), TOBN(0xa6ecb49e, 0xaabc03bd),
TOBN(0xaade91c2, 0xde8a8415), TOBN(0xcfb0efdf, 0x691136e0),
TOBN(0x11af45ee, 0x23ab3495), TOBN(0xa132df88, 0x0b77463d),
TOBN(0x8923c15c, 0x815d06f4), TOBN(0xc3ceb3f5, 0x0d61a436),
TOBN(0xaf52291d, 0xe88fb1da), TOBN(0xea057974, 0x1da12179),
TOBN(0xb0d7218c, 0xd2fef720), TOBN(0x6c0899c9, 0x8e1d8845),
TOBN(0x98157504, 0x752ddad7), TOBN(0xd60bd74f, 0xa1a68a97),
TOBN(0x7047a3a9, 0xf658fb99), TOBN(0x1f5d86d6, 0x5f8511e4),
TOBN(0xb8a4bc42, 0x4b5a6d88), TOBN(0x69eb2c33, 0x1abefa7d),
TOBN(0x95bf39e8, 0x13c9c510), TOBN(0xf571960a, 0xd48aab43),
TOBN(0x7e8cfbcf, 0x704e23c6), TOBN(0xc71b7d22, 0x28aaa65b),
TOBN(0xa041b2bd, 0x245e3c83), TOBN(0x69b98834, 0xd21854ff),
TOBN(0x89d227a3, 0x963bfeec), TOBN(0x99947aaa, 0xde7da7cb),
TOBN(0x1d9ee9db, 0xee68a9b1), TOBN(0x0a08f003, 0x698ec368),
TOBN(0xe9ea4094, 0x78ef2487), TOBN(0xc8d2d415, 0x02cfec26),
TOBN(0xc52f9a6e, 0xb7dcf328), TOBN(0x0ed489e3, 0x85b6a937),
TOBN(0x9b94986b, 0xbef3366e), TOBN(0x0de59c70, 0xedddddb8),
TOBN(0xffdb748c, 0xeadddbe2), TOBN(0x9b9784bb, 0x8266ea40),
TOBN(0x142b5502, 0x1a93507a), TOBN(0xb4cd1187, 0x8d3c06cf),
TOBN(0xdf70e76a, 0x91ec3f40), TOBN(0x484e81ad, 0x4e7553c2),
TOBN(0x830f87b5, 0x272e9d6e), TOBN(0xea1c93e5, 0xc6ff514a),
TOBN(0x67cc2adc, 0xc4192a8e), TOBN(0xc77e27e2, 0x42f4535a),
TOBN(0x9cdbab36, 0xd2b713c5), TOBN(0x86274ea0, 0xcf7b0cd3),
TOBN(0x784680f3, 0x09af826b), TOBN(0xbfcc837a, 0x0c72dea3),
TOBN(0xa8bdfe9d, 0xd6529b73), TOBN(0x708aa228, 0x63a88002),
TOBN(0x6c7a9a54, 0xc91d45b9), TOBN(0xdf1a38bb, 0xfd004f56),
TOBN(0x2e8c9a26, 0xb8bad853), TOBN(0x2d52cea3, 0x3723eae7),
TOBN(0x054d6d81, 0x56ca2830), TOBN(0xa3317d14, 0x9a8dc411),
TOBN(0xa08662fe, 0xfd4ddeda), TOBN(0xed2a153a, 0xb55d792b),
TOBN(0x7035c16a, 0xbfc6e944), TOBN(0xb6bc5834, 0x00171cf3),
TOBN(0xe27152b3, 0x83d102b6), TOBN(0xfe695a47, 0x0646b848),
TOBN(0xa5bb09d8, 0x916e6d37), TOBN(0xb4269d64, 0x0d17015e),
TOBN(0x8d8156a1, 0x0a1d2285), TOBN(0xfeef6c51, 0x46d26d72),
TOBN(0x9dac57c8, 0x4c5434a7), TOBN(0x0282e5be, 0x59d39e31),
TOBN(0xedfff181, 0x721c486d), TOBN(0x301baf10, 0xbc58824e),
TOBN(0x8136a6aa, 0x00570031), TOBN(0x55aaf78c, 0x1cddde68),
TOBN(0x26829371, 0x59c63952), TOBN(0x3a3bd274, 0x8bc25baf),
TOBN(0xecdf8657, 0xb7e52dc3), TOBN(0x2dd8c087, 0xfd78e6c8),
TOBN(0x20553274, 0xf5531461), TOBN(0x8b4a1281, 0x5d95499b),
TOBN(0xe2c8763a, 0x1a80f9d2), TOBN(0xd1dbe32b, 0x4ddec758),
TOBN(0xaf12210d, 0x30c34169), TOBN(0xba74a953, 0x78baa533),
TOBN(0x3d133c6e, 0xa438f254), TOBN(0xa431531a, 0x201bef5b),
TOBN(0x15295e22, 0xf669d7ec), TOBN(0xca374f64, 0x357fb515),
TOBN(0x8a8406ff, 0xeaa3fdb3), TOBN(0x106ae448, 0xdf3f2da8),
TOBN(0x8f9b0a90, 0x33c8e9a1), TOBN(0x234645e2, 0x71ad5885),
TOBN(0x3d083224, 0x1c0aed14), TOBN(0xf10a7d3e, 0x7a942d46),
TOBN(0x7c11deee, 0x40d5c9be), TOBN(0xb2bae7ff, 0xba84ed98),
TOBN(0x93e97139, 0xaad58ddd), TOBN(0x3d872796, 0x3f6d1fa3),
TOBN(0x483aca81, 0x8569ff13), TOBN(0x8b89a5fb, 0x9a600f72),
TOBN(0x4cbc27c3, 0xc06f2b86), TOBN(0x22130713, 0x63ad9c0b),
TOBN(0xb5358b1e, 0x48ac2840), TOBN(0x18311294, 0xecba9477),
TOBN(0xda58f990, 0xa6946b43), TOBN(0x3098baf9, 0x9ab41819),
TOBN(0x66c4c158, 0x4198da52), TOBN(0xab4fc17c, 0x146bfd1b),
TOBN(0x2f0a4c3c, 0xbf36a908), TOBN(0x2ae9e34b, 0x58cf7838),
TOBN(0xf411529e, 0x3fa11b1f), TOBN(0x21e43677, 0x974af2b4),
TOBN(0x7c20958e, 0xc230793b), TOBN(0x710ea885, 0x16e840f3),
TOBN(0xfc0b21fc, 0xc5dc67cf), TOBN(0x08d51647, 0x88405718),
TOBN(0xd955c21f, 0xcfe49eb7), TOBN(0x9722a5d5, 0x56dd4a1f),
TOBN(0xc9ef50e2, 0xc861baa5), TOBN(0xc0c21a5d, 0x9505ac3e),
TOBN(0xaf6b9a33, 0x8b7c063f), TOBN(0xc6370339, 0x2f4779c1),
TOBN(0x22df99c7, 0x638167c3), TOBN(0xfe6ffe76, 0x795db30c),
TOBN(0x2b822d33, 0xa4854989), TOBN(0xfef031dd, 0x30563aa5),
TOBN(0x16b09f82, 0xd57c667f), TOBN(0xc70312ce, 0xcc0b76f1),
TOBN(0xbf04a9e6, 0xc9118aec), TOBN(0x82fcb419, 0x3409d133),
TOBN(0x1a8ab385, 0xab45d44d), TOBN(0xfba07222, 0x617b83a3),
TOBN(0xb05f50dd, 0x58e81b52), TOBN(0x1d8db553, 0x21ce5aff),
TOBN(0x3097b8d4, 0xe344a873), TOBN(0x7d8d116d, 0xfe36d53e),
TOBN(0x6db22f58, 0x7875e750), TOBN(0x2dc5e373, 0x43e144ea),
TOBN(0xc05f32e6, 0xe799eb95), TOBN(0xe9e5f4df, 0x6899e6ec),
TOBN(0xbdc3bd68, 0x1fab23d5), TOBN(0xb72b8ab7, 0x73af60e6),
TOBN(0x8db27ae0, 0x2cecc84a), TOBN(0x600016d8, 0x7bdb871c),
TOBN(0x42a44b13, 0xd7c46f58), TOBN(0xb8919727, 0xc3a77d39),
TOBN(0xcfc6bbbd, 0xdafd6088), TOBN(0x1a740146, 0x6bd20d39),
TOBN(0x8c747abd, 0x98c41072), TOBN(0x4c91e765, 0xbdf68ea1),
TOBN(0x7c95e5ca, 0x08819a78), TOBN(0xcf48b729, 0xc9587921),
TOBN(0x091c7c5f, 0xdebbcc7d), TOBN(0x6f287404, 0xf0e05149),
TOBN(0xf83b5ac2, 0x26cd44ec), TOBN(0x88ae32a6, 0xcfea250e),
TOBN(0x6ac5047a, 0x1d06ebc5), TOBN(0xc7e550b4, 0xd434f781),
TOBN(0x61ab1cf2, 0x5c727bd2), TOBN(0x2e4badb1, 0x1cf915b0),
TOBN(0x1b4dadec, 0xf69d3920), TOBN(0xe61b1ca6, 0xf14c1dfe),
TOBN(0x90b479cc, 0xbd6bd51f), TOBN(0x8024e401, 0x8045ec30),
TOBN(0xcab29ca3, 0x25ef0e62), TOBN(0x4f2e9416, 0x49e4ebc0),
TOBN(0x45eb40ec, 0x0ccced58), TOBN(0x25cd4b9c, 0x0da44f98),
TOBN(0x43e06458, 0x871812c6), TOBN(0x99f80d55, 0x16cef651),
TOBN(0x571340c9, 0xce6dc153), TOBN(0x138d5117, 0xd8665521),
TOBN(0xacdb45bc, 0x4e07014d), TOBN(0x2f34bb38, 0x84b60b91),
TOBN(0xf44a4fd2, 0x2ae8921e), TOBN(0xb039288e, 0x892ba1e2),
TOBN(0x9da50174, 0xb1c180b2), TOBN(0x6b70ab66, 0x1693dc87),
TOBN(0x7e9babc9, 0xe7057481), TOBN(0x4581ddef, 0x9c80dc41),
TOBN(0x0c890da9, 0x51294682), TOBN(0x0b5629d3, 0x3f4736e5),
TOBN(0x2340c79e, 0xb06f5b41), TOBN(0xa42e84ce, 0x4e243469),
TOBN(0xf9a20135, 0x045a71a9), TOBN(0xefbfb415, 0xd27b6fb6),
TOBN(0x25ebea23, 0x9d33cd6f), TOBN(0x9caedb88, 0xaa6c0af8),
TOBN(0x53dc7e9a, 0xd9ce6f96), TOBN(0x3897f9fd, 0x51e0b15a),
TOBN(0xf51cb1f8, 0x8e5d788e), TOBN(0x1aec7ba8, 0xe1d490ee),
TOBN(0x265991e0, 0xcc58cb3c), TOBN(0x9f306e8c, 0x9fc3ad31),
TOBN(0x5fed006e, 0x5040a0ac), TOBN(0xca9d5043, 0xfb476f2e),
TOBN(0xa19c06e8, 0xbeea7a23), TOBN(0xd2865801, 0x0edabb63),
TOBN(0xdb92293f, 0x6967469a), TOBN(0x2894d839, 0x8d8a8ed8),
TOBN(0x87c9e406, 0xbbc77122), TOBN(0x8671c6f1, 0x2ea3a26a),
TOBN(0xe42df8d6, 0xd7de9853), TOBN(0x2e3ce346, 0xb1f2bcc7),
TOBN(0xda601dfc, 0x899d50cf), TOBN(0xbfc913de, 0xfb1b598f),
TOBN(0x81c4909f, 0xe61f7908), TOBN(0x192e304f, 0x9bbc7b29),
TOBN(0xc3ed8738, 0xc104b338), TOBN(0xedbe9e47, 0x783f5d61),
TOBN(0x0c06e9be, 0x2db30660), TOBN(0xda3e613f, 0xc0eb7d8e),
TOBN(0xd8fa3e97, 0x322e096e), TOBN(0xfebd91e8, 0xd336e247),
TOBN(0x8f13ccc4, 0xdf655a49), TOBN(0xa9e00dfc, 0x5eb20210),
TOBN(0x84631d0f, 0xc656b6ea), TOBN(0x93a058cd, 0xd8c0d947),
TOBN(0x6846904a, 0x67bd3448), TOBN(0x4a3d4e1a, 0xf394fd5c),
TOBN(0xc102c1a5, 0xdb225f52), TOBN(0xe3455bba, 0xfc4f5e9a),
TOBN(0x6b36985b, 0x4b9ad1ce), TOBN(0xa9818536, 0x5bb7f793),
TOBN(0x6c25e1d0, 0x48b1a416), TOBN(0x1381dd53, 0x3c81bee7),
TOBN(0xd2a30d61, 0x7a4a7620), TOBN(0xc8412926, 0x39b8944c),
TOBN(0x3c1c6fbe, 0x7a97c33a), TOBN(0x941e541d, 0x938664e7),
TOBN(0x417499e8, 0x4a34f239), TOBN(0x15fdb83c, 0xb90402d5),
TOBN(0xb75f46bf, 0x433aa832), TOBN(0xb61e15af, 0x63215db1),
TOBN(0xaabe59d4, 0xa127f89a), TOBN(0x5d541e0c, 0x07e816da),
TOBN(0xaaba0659, 0xa618b692), TOBN(0x55327733, 0x17266026),
TOBN(0xaf53a0fc, 0x95f57552), TOBN(0x32947650, 0x6cacb0c9),
TOBN(0x253ff58d, 0xc821be01), TOBN(0xb0309531, 0xa06f1146),
TOBN(0x59bbbdf5, 0x05c2e54d), TOBN(0x158f27ad, 0x26e8dd22),
TOBN(0xcc5b7ffb, 0x397e1e53), TOBN(0xae03f65b, 0x7fc1e50d),
TOBN(0xa9784ebd, 0x9c95f0f9), TOBN(0x5ed9deb2, 0x24640771),
TOBN(0x31244af7, 0x035561c4), TOBN(0x87332f3a, 0x7ee857de),
TOBN(0x09e16e9e, 0x2b9e0d88), TOBN(0x52d910f4, 0x56a06049),
TOBN(0x507ed477, 0xa9592f48), TOBN(0x85cb917b, 0x2365d678),
TOBN(0xf8511c93, 0x4c8998d1), TOBN(0x2186a3f1, 0x730ea58f),
TOBN(0x50189626, 0xb2029db0), TOBN(0x9137a6d9, 0x02ceb75a),
TOBN(0x2fe17f37, 0x748bc82c), TOBN(0x87c2e931, 0x80469f8c),
TOBN(0x850f71cd, 0xbf891aa2), TOBN(0x0ca1b89b, 0x75ec3d8d),
TOBN(0x516c43aa, 0x5e1cd3cd), TOBN(0x89397808, 0x9a887c28),
TOBN(0x0059c699, 0xddea1f9f), TOBN(0x7737d6fa, 0x8e6868f7),
TOBN(0x6d93746a, 0x60f1524b), TOBN(0x36985e55, 0xba052aa7),
TOBN(0x41b1d322, 0xed923ea5), TOBN(0x3429759f, 0x25852a11),
TOBN(0xbeca6ec3, 0x092e9f41), TOBN(0x3a238c66, 0x62256bbd),
TOBN(0xd82958ea, 0x70ad487d), TOBN(0x4ac8aaf9, 0x65610d93),
TOBN(0x3fa101b1, 0x5e4ccab0), TOBN(0x9bf430f2, 0x9de14bfb),
TOBN(0xa10f5cc6, 0x6531899d), TOBN(0x590005fb, 0xea8ce17d),
TOBN(0xc437912f, 0x24544cb6), TOBN(0x9987b71a, 0xd79ac2e3),
TOBN(0x13e3d9dd, 0xc058a212), TOBN(0x00075aac, 0xd2de9606),
TOBN(0x80ab508b, 0x6cac8369), TOBN(0x87842be7, 0xf54f6c89),
TOBN(0xa7ad663d, 0x6bc532a4), TOBN(0x67813de7, 0x78a91bc8),
TOBN(0x5dcb61ce, 0xc3427239), TOBN(0x5f3c7cf0, 0xc56934d9),
TOBN(0xc079e0fb, 0xe3191591), TOBN(0xe40896bd, 0xb01aada7),
TOBN(0x8d466791, 0x0492d25f), TOBN(0x8aeb30c9, 0xe7408276),
TOBN(0xe9437495, 0x9287aacc), TOBN(0x23d4708d, 0x79fe03d4),
TOBN(0x8cda9cf2, 0xd0c05199), TOBN(0x502fbc22, 0xfae78454),
TOBN(0xc0bda9df, 0xf572a182), TOBN(0x5f9b71b8, 0x6158b372),
TOBN(0xe0f33a59, 0x2b82dd07), TOBN(0x76302735, 0x9523032e),
TOBN(0x7fe1a721, 0xc4505a32), TOBN(0x7b6e3e82, 0xf796409f),}
,
{TOBN(0xe3417bc0, 0x35d0b34a), TOBN(0x440b386b, 0x8327c0a7),
TOBN(0x8fb7262d, 0xac0362d1), TOBN(0x2c41114c, 0xe0cdf943),
TOBN(0x2ba5cef1, 0xad95a0b1), TOBN(0xc09b37a8, 0x67d54362),
TOBN(0x26d6cdd2, 0x01e486c9), TOBN(0x20477abf, 0x42ff9297),
TOBN(0xa004dcb3, 0x292a9287), TOBN(0xddc15cf6, 0x77b092c7),
TOBN(0x083a8464, 0x806c0605), TOBN(0x4a68df70, 0x3db997b0),
TOBN(0x9c134e45, 0x05bf7dd0), TOBN(0xa4e63d39, 0x8ccf7f8c),
TOBN(0xa6e6517f, 0x41b5f8af), TOBN(0xaa8b9342, 0xad7bc1cc),
TOBN(0x126f35b5, 0x1e706ad9), TOBN(0xb99cebb4, 0xc3a9ebdf),
TOBN(0xa75389af, 0xbf608d90), TOBN(0x76113c4f, 0xc6c89858),
TOBN(0x80de8eb0, 0x97e2b5aa), TOBN(0x7e1022cc, 0x63b91304),
TOBN(0x3bdab605, 0x6ccc066c), TOBN(0x33cbb144, 0xb2edf900),
TOBN(0xc4176471, 0x7af715d2), TOBN(0xe2f7f594, 0xd0134a96),
TOBN(0x2c1873ef, 0xa41ec956), TOBN(0xe4e7b4f6, 0x77821304),
TOBN(0xe5c8ff97, 0x88d5374a), TOBN(0x2b915e63, 0x80823d5b),
TOBN(0xea6bc755, 0xb2ee8fe2), TOBN(0x6657624c, 0xe7112651),
TOBN(0x157af101, 0xdace5aca), TOBN(0xc4fdbcf2, 0x11a6a267),
TOBN(0xdaddf340, 0xc49c8609), TOBN(0x97e49f52, 0xe9604a65),
TOBN(0x9be8e790, 0x937e2ad5), TOBN(0x846e2508, 0x326e17f1),
TOBN(0x3f38007a, 0x0bbbc0dc), TOBN(0xcf03603f, 0xb11e16d6),
TOBN(0xd6f800e0, 0x7442f1d5), TOBN(0x475607d1, 0x66e0e3ab),
TOBN(0x82807f16, 0xb7c64047), TOBN(0x8858e1e3, 0xa749883d),
TOBN(0x5859120b, 0x8231ee10), TOBN(0x1b80e7eb, 0x638a1ece),
TOBN(0xcb72525a, 0xc6aa73a4), TOBN(0xa7cdea3d, 0x844423ac),
TOBN(0x5ed0c007, 0xf8ae7c38), TOBN(0x6db07a5c, 0x3d740192),
TOBN(0xbe5e9c2a, 0x5fe36db3), TOBN(0xd5b9d57a, 0x76e95046),
TOBN(0x54ac32e7, 0x8eba20f2), TOBN(0xef11ca8f, 0x71b9a352),
TOBN(0x305e373e, 0xff98a658), TOBN(0xffe5a100, 0x823eb667),
TOBN(0x57477b11, 0xe51732d2), TOBN(0xdfd6eb28, 0x2538fc0e),
TOBN(0x5c43b0cc, 0x3b39eec5), TOBN(0x6af12778, 0xcb36cc57),
TOBN(0x70b0852d, 0x06c425ae), TOBN(0x6df92f8c, 0x5c221b9b),
TOBN(0x6c8d4f9e, 0xce826d9c), TOBN(0xf59aba7b, 0xb49359c3),
TOBN(0x5c8ed8d5, 0xda64309d), TOBN(0x61a6de56, 0x91b30704),
TOBN(0xd6b52f6a, 0x2f9b5808), TOBN(0x0eee4194, 0x98c958a7),
TOBN(0xcddd9aab, 0x771e4caa), TOBN(0x83965dfd, 0x78bc21be),
TOBN(0x02affce3, 0xb3b504f5), TOBN(0x30847a21, 0x561c8291),
TOBN(0xd2eb2cf1, 0x52bfda05), TOBN(0xe0e4c4e9, 0x6197b98c),
TOBN(0x1d35076c, 0xf8a1726f), TOBN(0x6c06085b, 0x2db11e3d),
TOBN(0x15c0c4d7, 0x4463ba14), TOBN(0x9d292f83, 0x0030238c),
TOBN(0x1311ee8b, 0x3727536d), TOBN(0xfeea86ef, 0xbeaedc1e),
TOBN(0xb9d18cd3, 0x66131e2e), TOBN(0xf31d974f, 0x80fe2682),
TOBN(0xb6e49e0f, 0xe4160289), TOBN(0x7c48ec0b, 0x08e92799),
TOBN(0x818111d8, 0xd1989aa7), TOBN(0xb34fa0aa, 0xebf926f9),
TOBN(0xdb5fe2f5, 0xa245474a), TOBN(0xf80a6ebb, 0x3c7ca756),
TOBN(0xa7f96054, 0xafa05dd8), TOBN(0x26dfcf21, 0xfcaf119e),
TOBN(0xe20ef2e3, 0x0564bb59), TOBN(0xef4dca50, 0x61cb02b8),
TOBN(0xcda7838a, 0x65d30672), TOBN(0x8b08d534, 0xfd657e86),
TOBN(0x4c5b4395, 0x46d595c8), TOBN(0x39b58725, 0x425cb836),
TOBN(0x8ea61059, 0x3de9abe3), TOBN(0x40434881, 0x9cdc03be),
TOBN(0x9b261245, 0xcfedce8c), TOBN(0x78c318b4, 0xcf5234a1),
TOBN(0x510bcf16, 0xfde24c99), TOBN(0x2a77cb75, 0xa2c2ff5d),
TOBN(0x9c895c2b, 0x27960fb4), TOBN(0xd30ce975, 0xb0eda42b),
TOBN(0xfda85393, 0x1a62cc26), TOBN(0x23c69b96, 0x50c0e052),
TOBN(0xa227df15, 0xbfc633f3), TOBN(0x2ac78848, 0x1bae7d48),
TOBN(0x487878f9, 0x187d073d), TOBN(0x6c2be919, 0x967f807d),
TOBN(0x765861d8, 0x336e6d8f), TOBN(0x88b8974c, 0xce528a43),
TOBN(0x09521177, 0xff57d051), TOBN(0x2ff38037, 0xfb6a1961),
TOBN(0xfc0aba74, 0xa3d76ad4), TOBN(0x7c764803, 0x25a7ec17),
TOBN(0x7532d75f, 0x48879bc8), TOBN(0xea7eacc0, 0x58ce6bc1),
TOBN(0xc82176b4, 0x8e896c16), TOBN(0x9a30e0b2, 0x2c750fed),
TOBN(0xc37e2c2e, 0x421d3aa4), TOBN(0xf926407c, 0xe84fa840),
TOBN(0x18abc03d, 0x1454e41c), TOBN(0x26605ecd, 0x3f7af644),
TOBN(0x242341a6, 0xd6a5eabf), TOBN(0x1edb84f4, 0x216b668e),
TOBN(0xd836edb8, 0x04010102), TOBN(0x5b337ce7, 0x945e1d8c),
TOBN(0xd2075c77, 0xc055dc14), TOBN(0x2a0ffa25, 0x81d89cdf),
TOBN(0x8ce815ea, 0x6ffdcbaf), TOBN(0xa3428878, 0xfb648867),
TOBN(0x277699cf, 0x884655fb), TOBN(0xfa5b5bd6, 0x364d3e41),
TOBN(0x01f680c6, 0x441e1cb7), TOBN(0x3fd61e66, 0xb70a7d67),
TOBN(0x666ba2dc, 0xcc78cf66), TOBN(0xb3018174, 0x6fdbff77),
TOBN(0x8d4dd0db, 0x168d4668), TOBN(0x259455d0, 0x1dab3a2a),
TOBN(0xf58564c5, 0xcde3acec), TOBN(0x77141925, 0x13adb276),
TOBN(0x527d725d, 0x8a303f65), TOBN(0x55deb6c9, 0xe6f38f7b),
TOBN(0xfd5bb657, 0xb1fa70fb), TOBN(0xfa07f50f, 0xd8073a00),
TOBN(0xf72e3aa7, 0xbca02500), TOBN(0xf68f895d, 0x9975740d),
TOBN(0x30112060, 0x5cae2a6a), TOBN(0x01bd7218, 0x02874842),
TOBN(0x3d423891, 0x7ce47bd3), TOBN(0xa66663c1, 0x789544f6),
TOBN(0x864d05d7, 0x3272d838), TOBN(0xe22924f9, 0xfa6295c5),
TOBN(0x8189593f, 0x6c2fda32), TOBN(0x330d7189, 0xb184b544),
TOBN(0x79efa62c, 0xbde1f714), TOBN(0x35771c94, 0xe5cb1a63),
TOBN(0x2f4826b8, 0x641c8332), TOBN(0x00a894fb, 0xc8cee854),
TOBN(0xb4b9a39b, 0x36194d40), TOBN(0xe857a7c5, 0x77612601),
TOBN(0xf4209dd2, 0x4ecf2f58), TOBN(0x82b9e66d, 0x5a033487),
TOBN(0xc1e36934, 0xe4e8b9dd), TOBN(0xd2372c9d, 0xa42377d7),
TOBN(0x51dc94c7, 0x0e3ae43b), TOBN(0x4c57761e, 0x04474f6f),
TOBN(0xdcdacd0a, 0x1058a318), TOBN(0x369cf3f5, 0x78053a9a),
TOBN(0xc6c3de50, 0x31c68de2), TOBN(0x4653a576, 0x3c4b6d9f),
TOBN(0x1688dd5a, 0xaa4e5c97), TOBN(0x5be80aa1, 0xb7ab3c74),
TOBN(0x70cefe7c, 0xbc65c283), TOBN(0x57f95f13, 0x06867091),
TOBN(0xa39114e2, 0x4415503b), TOBN(0xc08ff7c6, 0x4cbb17e9),
TOBN(0x1eff674d, 0xd7dec966), TOBN(0x6d4690af, 0x53376f63),
TOBN(0xff6fe32e, 0xea74237b), TOBN(0xc436d17e, 0xcd57508e),
TOBN(0x15aa28e1, 0xedcc40fe), TOBN(0x0d769c04, 0x581bbb44),
TOBN(0xc240b6de, 0x34eaacda), TOBN(0xd9e116e8, 0x2ba0f1de),
TOBN(0xcbe45ec7, 0x79438e55), TOBN(0x91787c9d, 0x96f752d7),
TOBN(0x897f532b, 0xf129ac2f), TOBN(0xd307b7c8, 0x5a36e22c),
TOBN(0x91940675, 0x749fb8f3), TOBN(0xd14f95d0, 0x157fdb28),
TOBN(0xfe51d029, 0x6ae55043), TOBN(0x8931e98f, 0x44a87de1),
TOBN(0xe57f1cc6, 0x09e4fee2), TOBN(0x0d063b67, 0x4e072d92),
TOBN(0x70a998b9, 0xed0e4316), TOBN(0xe74a736b, 0x306aca46),
TOBN(0xecf0fbf2, 0x4fda97c7), TOBN(0xa40f65cb, 0x3e178d93),
TOBN(0x16253604, 0x16df4285), TOBN(0xb0c9babb, 0xd0c56ae2),
TOBN(0x73032b19, 0xcfc5cfc3), TOBN(0xe497e5c3, 0x09752056),
TOBN(0x12096bb4, 0x164bda96), TOBN(0x1ee42419, 0xa0b74da1),
TOBN(0x8fc36243, 0x403826ba), TOBN(0x0c8f0069, 0xdc09e660),
TOBN(0x8667e981, 0xc27253c9), TOBN(0x05a6aefb, 0x92b36a45),
TOBN(0xa62c4b36, 0x9cb7bb46), TOBN(0x8394f375, 0x11f7027b),
TOBN(0x747bc79c, 0x5f109d0f), TOBN(0xcad88a76, 0x5b8cc60a),
TOBN(0x80c5a66b, 0x58f09e68), TOBN(0xe753d451, 0xf6127eac),
TOBN(0xc44b74a1, 0x5b0ec6f5), TOBN(0x47989fe4, 0x5289b2b8),
TOBN(0x745f8484, 0x58d6fc73), TOBN(0xec362a6f, 0xf61c70ab),
TOBN(0x070c98a7, 0xb3a8ad41), TOBN(0x73a20fc0, 0x7b63db51),
TOBN(0xed2c2173, 0xf44c35f4), TOBN(0x8a56149d, 0x9acc9dca),
TOBN(0x98f17881, 0x9ac6e0f4), TOBN(0x360fdeaf, 0xa413b5ed),
TOBN(0x0625b8f4, 0xa300b0fd), TOBN(0xf1f4d76a, 0x5b3222d3),
TOBN(0x9d6f5109, 0x587f76b8), TOBN(0x8b4ee08d, 0x2317fdb5),
TOBN(0x88089bb7, 0x8c68b095), TOBN(0x95570e9a, 0x5808d9b9),
TOBN(0xa395c36f, 0x35d33ae7), TOBN(0x200ea123, 0x50bb5a94),
TOBN(0x20c789bd, 0x0bafe84b), TOBN(0x243ef52d, 0x0919276a),
TOBN(0x3934c577, 0xe23ae233), TOBN(0xb93807af, 0xa460d1ec),
TOBN(0xb72a53b1, 0xf8fa76a4), TOBN(0xd8914cb0, 0xc3ca4491),
TOBN(0x2e128494, 0x3fb42622), TOBN(0x3b2700ac, 0x500907d5),
TOBN(0xf370fb09, 0x1a95ec63), TOBN(0xf8f30be2, 0x31b6dfbd),
TOBN(0xf2b2f8d2, 0x69e55f15), TOBN(0x1fead851, 0xcc1323e9),
TOBN(0xfa366010, 0xd9e5eef6), TOBN(0x64d487b0, 0xe316107e),
TOBN(0x4c076b86, 0xd23ddc82), TOBN(0x03fd344c, 0x7e0143f0),
TOBN(0xa95362ff, 0x317af2c5), TOBN(0x0add3db7, 0xe18b7a4f),
TOBN(0x9c673e3f, 0x8260e01b), TOBN(0xfbeb49e5, 0x54a1cc91),
TOBN(0x91351bf2, 0x92f2e433), TOBN(0xc755e7ec, 0x851141eb),
TOBN(0xc9a95139, 0x29607745), TOBN(0x0ca07420, 0xa26f2b28),
TOBN(0xcb2790e7, 0x4bc6f9dd), TOBN(0x345bbb58, 0xadcaffc0),
TOBN(0xc65ea38c, 0xbe0f27a2), TOBN(0x67c24d7c, 0x641fcb56),
TOBN(0x2c25f0a7, 0xa9e2c757), TOBN(0x93f5cdb0, 0x16f16c49),
TOBN(0x2ca5a9d7, 0xc5ee30a1), TOBN(0xd1593635, 0xb909b729),
TOBN(0x804ce9f3, 0xdadeff48), TOBN(0xec464751, 0xb07c30c3),
TOBN(0x89d65ff3, 0x9e49af6a), TOBN(0xf2d6238a, 0x6f3d01bc),
TOBN(0x1095561e, 0x0bced843), TOBN(0x51789e12, 0xc8a13fd8),
TOBN(0xd633f929, 0x763231df), TOBN(0x46df9f7d, 0xe7cbddef),
TOBN(0x01c889c0, 0xcb265da8), TOBN(0xfce1ad10, 0xaf4336d2),
TOBN(0x8d110df6, 0xfc6a0a7e), TOBN(0xdd431b98, 0x6da425dc),
TOBN(0xcdc4aeab, 0x1834aabe), TOBN(0x84deb124, 0x8439b7fc),
TOBN(0x8796f169, 0x3c2a5998), TOBN(0x9b9247b4, 0x7947190d),
TOBN(0x55b9d9a5, 0x11597014), TOBN(0x7e9dd70d, 0x7b1566ee),
TOBN(0x94ad78f7, 0xcbcd5e64), TOBN(0x0359ac17, 0x9bd4c032),
TOBN(0x3b11baaf, 0x7cc222ae), TOBN(0xa6a6e284, 0xba78e812),
TOBN(0x8392053f, 0x24cea1a0), TOBN(0xc97bce4a, 0x33621491),
TOBN(0x7eb1db34, 0x35399ee9), TOBN(0x473f78ef, 0xece81ad1),
TOBN(0x41d72fe0, 0xf63d3d0d), TOBN(0xe620b880, 0xafab62fc),
TOBN(0x92096bc9, 0x93158383), TOBN(0x41a21357, 0x8f896f6c),
TOBN(0x1b5ee2fa, 0xc7dcfcab), TOBN(0x650acfde, 0x9546e007),
TOBN(0xc081b749, 0xb1b02e07), TOBN(0xda9e41a0, 0xf9eca03d),
TOBN(0x013ba727, 0x175a54ab), TOBN(0xca0cd190, 0xea5d8d10),
TOBN(0x85ea52c0, 0x95fd96a9), TOBN(0x2c591b9f, 0xbc5c3940),
TOBN(0x6fb4d4e4, 0x2bad4d5f), TOBN(0xfa4c3590, 0xfef0059b),
TOBN(0x6a10218a, 0xf5122294), TOBN(0x9a78a81a, 0xa85751d1),
TOBN(0x04f20579, 0xa98e84e7), TOBN(0xfe1242c0, 0x4997e5b5),
TOBN(0xe77a273b, 0xca21e1e4), TOBN(0xfcc8b1ef, 0x9411939d),
TOBN(0xe20ea302, 0x92d0487a), TOBN(0x1442dbec, 0x294b91fe),
TOBN(0x1f7a4afe, 0xbb6b0e8f), TOBN(0x1700ef74, 0x6889c318),
TOBN(0xf5bbffc3, 0x70f1fc62), TOBN(0x3b31d4b6, 0x69c79cca),
TOBN(0xe8bc2aab, 0xa7f6340d), TOBN(0xb0b08ab4, 0xa725e10a),
TOBN(0x44f05701, 0xae340050), TOBN(0xba4b3016, 0x1cf0c569),
TOBN(0x5aa29f83, 0xfbe19a51), TOBN(0x1b9ed428, 0xb71d752e),
TOBN(0x1666e54e, 0xeb4819f5), TOBN(0x616cdfed, 0x9e18b75b),
TOBN(0x112ed5be, 0x3ee27b0b), TOBN(0xfbf28319, 0x44c7de4d),
TOBN(0xd685ec85, 0xe0e60d84), TOBN(0x68037e30, 0x1db7ee78),
TOBN(0x5b65bdcd, 0x003c4d6e), TOBN(0x33e7363a, 0x93e29a6a),
TOBN(0x995b3a61, 0x08d0756c), TOBN(0xd727f85c, 0x2faf134b),
TOBN(0xfac6edf7, 0x1d337823), TOBN(0x99b9aa50, 0x0439b8b4),
TOBN(0x722eb104, 0xe2b4e075), TOBN(0x49987295, 0x437c4926),
TOBN(0xb1e4c0e4, 0x46a9b82d), TOBN(0xd0cb3197, 0x57a006f5),
TOBN(0xf3de0f7d, 0xd7808c56), TOBN(0xb5c54d8f, 0x51f89772),
TOBN(0x500a114a, 0xadbd31aa), TOBN(0x9afaaaa6, 0x295f6cab),
TOBN(0x94705e21, 0x04cf667a), TOBN(0xfc2a811b, 0x9d3935d7),
TOBN(0x560b0280, 0x6d09267c), TOBN(0xf19ed119, 0xf780e53b),
TOBN(0xf0227c09, 0x067b6269), TOBN(0x967b8533, 0x5caef599),
TOBN(0x155b9243, 0x68efeebc), TOBN(0xcd6d34f5, 0xc497bae6),
TOBN(0x1dd8d5d3, 0x6cceb370), TOBN(0x2aeac579, 0xa78d7bf9),
TOBN(0x5d65017d, 0x70b67a62), TOBN(0x70c8e44f, 0x17c53f67),
TOBN(0xd1fc0950, 0x86a34d09), TOBN(0xe0fca256, 0xe7134907),
TOBN(0xe24fa29c, 0x80fdd315), TOBN(0x2c4acd03, 0xd87499ad),
TOBN(0xbaaf7517, 0x3b5a9ba6), TOBN(0xb9cbe1f6, 0x12e51a51),
TOBN(0xd88edae3, 0x5e154897), TOBN(0xe4309c3c, 0x77b66ca0),
TOBN(0xf5555805, 0xf67f3746), TOBN(0x85fc37ba, 0xa36401ff),
TOBN(0xdf86e2ca, 0xd9499a53), TOBN(0x6270b2a3, 0xecbc955b),
TOBN(0xafae64f5, 0x974ad33b), TOBN(0x04d85977, 0xfe7b2df1),
TOBN(0x2a3db3ff, 0x4ab03f73), TOBN(0x0b87878a, 0x8702740a),
TOBN(0x6d263f01, 0x5a061732), TOBN(0xc25430ce, 0xa32a1901),
TOBN(0xf7ebab3d, 0xdb155018), TOBN(0x3a86f693, 0x63a9b78e),
TOBN(0x349ae368, 0xda9f3804), TOBN(0x470f07fe, 0xa164349c),
TOBN(0xd52f4cc9, 0x8562baa5), TOBN(0xc74a9e86, 0x2b290df3),
TOBN(0xd3a1aa35, 0x43471a24), TOBN(0x239446be, 0xb8194511),
TOBN(0xbec2dd00, 0x81dcd44d), TOBN(0xca3d7f0f, 0xc42ac82d),
TOBN(0x1f3db085, 0xfdaf4520), TOBN(0xbb6d3e80, 0x4549daf2),
TOBN(0xf5969d8a, 0x19ad5c42), TOBN(0x7052b13d, 0xdbfd1511),
TOBN(0x11890d1b, 0x682b9060), TOBN(0xa71d3883, 0xac34452c),
TOBN(0xa438055b, 0x783805b4), TOBN(0x43241277, 0x4725b23e),
TOBN(0xf20cf96e, 0x4901bbed), TOBN(0x6419c710, 0xf432a2bb),
TOBN(0x57a0fbb9, 0xdfa9cd7d), TOBN(0x589111e4, 0x00daa249),
TOBN(0x19809a33, 0x7b60554e), TOBN(0xea5f8887, 0xede283a4),
TOBN(0x2d713802, 0x503bfd35), TOBN(0x151bb0af, 0x585d2a53),
TOBN(0x40b08f74, 0x43b30ca8), TOBN(0xe10b5bba, 0xd9934583),
TOBN(0xe8a546d6, 0xb51110ad), TOBN(0x1dd50e66, 0x28e0b6c5),
TOBN(0x292e9d54, 0xcff2b821), TOBN(0x3882555d, 0x47281760),
TOBN(0x134838f8, 0x3724d6e3), TOBN(0xf2c679e0, 0x22ddcda1),
TOBN(0x40ee8815, 0x6d2a5768), TOBN(0x7f227bd2, 0x1c1e7e2d),
TOBN(0x487ba134, 0xd04ff443), TOBN(0x76e2ff3d, 0xc614e54b),
TOBN(0x36b88d6f, 0xa3177ec7), TOBN(0xbf731d51, 0x2328fff5),
TOBN(0x758caea2, 0x49ba158e), TOBN(0x5ab8ff4c, 0x02938188),
TOBN(0x33e16056, 0x35edc56d), TOBN(0x5a69d349, 0x7e940d79),
TOBN(0x6c4fd001, 0x03866dcb), TOBN(0x20a38f57, 0x4893cdef),
TOBN(0xfbf3e790, 0xfac3a15b), TOBN(0x6ed7ea2e, 0x7a4f8e6b),
TOBN(0xa663eb4f, 0xbc3aca86), TOBN(0x22061ea5, 0x080d53f7),
TOBN(0x2480dfe6, 0xf546783f), TOBN(0xd38bc6da, 0x5a0a641e),
TOBN(0xfb093cd1, 0x2ede8965), TOBN(0x89654db4, 0xacb455cf),
TOBN(0x413cbf9a, 0x26e1adee), TOBN(0x291f3764, 0x373294d4),
TOBN(0x00797257, 0x648083fe), TOBN(0x25f504d3, 0x208cc341),
TOBN(0x635a8e5e, 0xc3a0ee43), TOBN(0x70aaebca, 0x679898ff),
TOBN(0x9ee9f547, 0x5dc63d56), TOBN(0xce987966, 0xffb34d00),
TOBN(0xf9f86b19, 0x5e26310a), TOBN(0x9e435484, 0x382a8ca8),
TOBN(0x253bcb81, 0xc2352fe4), TOBN(0xa4eac8b0, 0x4474b571),
TOBN(0xc1b97512, 0xc1ad8cf8), TOBN(0x193b4e9e, 0x99e0b697),
TOBN(0x939d2716, 0x01e85df0), TOBN(0x4fb265b3, 0xcd44eafd),
TOBN(0x321e7dcd, 0xe51e1ae2), TOBN(0x8e3a8ca6, 0xe3d8b096),
TOBN(0x8de46cb0, 0x52604998), TOBN(0x91099ad8, 0x39072aa7),
TOBN(0x2617f91c, 0x93aa96b8), TOBN(0x0fc8716b, 0x7fca2e13),
TOBN(0xa7106f5e, 0x95328723), TOBN(0xd1c9c40b, 0x262e6522),
TOBN(0xb9bafe86, 0x42b7c094), TOBN(0x1873439d, 0x1543c021),
TOBN(0xe1baa5de, 0x5cbefd5d), TOBN(0xa363fc5e, 0x521e8aff),
TOBN(0xefe6320d, 0xf862eaac), TOBN(0x14419c63, 0x22c647dc),
TOBN(0x0e06707c, 0x4e46d428), TOBN(0xcb6c834f, 0x4a178f8f),
TOBN(0x0f993a45, 0xd30f917c), TOBN(0xd4c4b049, 0x9879afee),
TOBN(0xb6142a1e, 0x70500063), TOBN(0x7c9b41c3, 0xa5d9d605),
TOBN(0xbc00fc2f, 0x2f8ba2c7), TOBN(0x0966eb2f, 0x7c67aa28),
TOBN(0x13f7b516, 0x5a786972), TOBN(0x3bfb7557, 0x8a2fbba0),
TOBN(0x131c4f23, 0x5a2b9620), TOBN(0xbff3ed27, 0x6faf46be),
TOBN(0x9b4473d1, 0x7e172323), TOBN(0x421e8878, 0x339f6246),
TOBN(0x0fa8587a, 0x25a41632), TOBN(0xc0814124, 0xa35b6c93),
TOBN(0x2b18a9f5, 0x59ebb8db), TOBN(0x264e3357, 0x76edb29c),
TOBN(0xaf245ccd, 0xc87c51e2), TOBN(0x16b3015b, 0x501e6214),
TOBN(0xbb31c560, 0x0a3882ce), TOBN(0x6961bb94, 0xfec11e04),
TOBN(0x3b825b8d, 0xeff7a3a0), TOBN(0xbec33738, 0xb1df7326),
TOBN(0x68ad747c, 0x99604a1f), TOBN(0xd154c934, 0x9a3bd499),
TOBN(0xac33506f, 0x1cc7a906), TOBN(0x73bb5392, 0x6c560e8f),
TOBN(0x6428fcbe, 0x263e3944), TOBN(0xc11828d5, 0x1c387434),
TOBN(0x3cd04be1, 0x3e4b12ff), TOBN(0xc3aad9f9, 0x2d88667c),
TOBN(0xc52ddcf8, 0x248120cf), TOBN(0x985a892e, 0x2a389532),
TOBN(0xfbb4b21b, 0x3bb85fa0), TOBN(0xf95375e0, 0x8dfc6269),
TOBN(0xfb4fb06c, 0x7ee2acea), TOBN(0x6785426e, 0x309c4d1f),
TOBN(0x659b17c8, 0xd8ceb147), TOBN(0x9b649eee, 0xb70a5554),
TOBN(0x6b7fa0b5, 0xac6bc634), TOBN(0xd99fe2c7, 0x1d6e732f),
TOBN(0x30e6e762, 0x8d3abba2), TOBN(0x18fee6e7, 0xa797b799),
TOBN(0x5c9d360d, 0xc696464d), TOBN(0xe3baeb48, 0x27bfde12),
TOBN(0x2bf5db47, 0xf23206d5), TOBN(0x2f6d3420, 0x1d260152),
TOBN(0x17b87653, 0x3f8ff89a), TOBN(0x5157c30c, 0x378fa458),
TOBN(0x7517c5c5, 0x2d4fb936), TOBN(0xef22f7ac, 0xe6518cdc),
TOBN(0xdeb483e6, 0xbf847a64), TOBN(0xf5084558, 0x92e0fa89),}
,
{TOBN(0xab9659d8, 0xdf7304d4), TOBN(0xb71bcf1b, 0xff210e8e),
TOBN(0xa9a2438b, 0xd73fbd60), TOBN(0x4595cd1f, 0x5d11b4de),
TOBN(0x9c0d329a, 0x4835859d), TOBN(0x4a0f0d2d, 0x7dbb6e56),
TOBN(0xc6038e5e, 0xdf928a4e), TOBN(0xc9429621, 0x8f5ad154),
TOBN(0x91213462, 0xf23f2d92), TOBN(0x6cab71bd, 0x60b94078),
TOBN(0x6bdd0a63, 0x176cde20), TOBN(0x54c9b20c, 0xee4d54bc),
TOBN(0x3cd2d8aa, 0x9f2ac02f), TOBN(0x03f8e617, 0x206eedb0),
TOBN(0xc7f68e16, 0x93086434), TOBN(0x831469c5, 0x92dd3db9),
TOBN(0x8521df24, 0x8f981354), TOBN(0x587e23ec, 0x3588a259),
TOBN(0xcbedf281, 0xd7a0992c), TOBN(0x06930a55, 0x38961407),
TOBN(0x09320deb, 0xbe5bbe21), TOBN(0xa7ffa5b5, 0x2491817f),
TOBN(0xe6c8b4d9, 0x09065160), TOBN(0xac4f3992, 0xfff6d2a9),
TOBN(0x7aa7a158, 0x3ae9c1bd), TOBN(0xe0af6d98, 0xe37ce240),
TOBN(0xe54342d9, 0x28ab38b4), TOBN(0xe8b75007, 0x0a1c98ca),
TOBN(0xefce86af, 0xe02358f2), TOBN(0x31b8b856, 0xea921228),
TOBN(0x052a1912, 0x0a1c67fc), TOBN(0xb4069ea4, 0xe3aead59),
TOBN(0x3232d6e2, 0x7fa03cb3), TOBN(0xdb938e5b, 0x0fdd7d88),
TOBN(0x04c1d2cd, 0x2ccbfc5d), TOBN(0xd2f45c12, 0xaf3a580f),
TOBN(0x592620b5, 0x7883e614), TOBN(0x5fd27e68, 0xbe7c5f26),
TOBN(0x139e45a9, 0x1567e1e3), TOBN(0x2cc71d2d, 0x44d8aaaf),
TOBN(0x4a9090cd, 0xe36d0757), TOBN(0xf722d7b1, 0xd9a29382),
TOBN(0xfb7fb04c, 0x04b48ddf), TOBN(0x628ad2a7, 0xebe16f43),
TOBN(0xcd3fbfb5, 0x20226040), TOBN(0x6c34ecb1, 0x5104b6c4),
TOBN(0x30c0754e, 0xc903c188), TOBN(0xec336b08, 0x2d23cab0),
TOBN(0x473d62a2, 0x1e206ee5), TOBN(0xf1e27480, 0x8c49a633),
TOBN(0x87ab956c, 0xe9f6b2c3), TOBN(0x61830b48, 0x62b606ea),
TOBN(0x67cd6846, 0xe78e815f), TOBN(0xfe40139f, 0x4c02082a),
TOBN(0x52bbbfcb, 0x952ec365), TOBN(0x74c11642, 0x6b9836ab),
TOBN(0x9f51439e, 0x558df019), TOBN(0x230da4ba, 0xac712b27),
TOBN(0x518919e3, 0x55185a24), TOBN(0x4dcefcdd, 0x84b78f50),
TOBN(0xa7d90fb2, 0xa47d4c5a), TOBN(0x55ac9abf, 0xb30e009e),
TOBN(0xfd2fc359, 0x74eed273), TOBN(0xb72d824c, 0xdbea8faf),
TOBN(0xce721a74, 0x4513e2ca), TOBN(0x0b418612, 0x38240b2c),
TOBN(0x05199968, 0xd5baa450), TOBN(0xeb1757ed, 0x2b0e8c25),
TOBN(0x6ebc3e28, 0x3dfac6d5), TOBN(0xb2431e2e, 0x48a237f5),
TOBN(0x2acb5e23, 0x52f61499), TOBN(0x5558a2a7, 0xe06c936b),
TOBN(0xd213f923, 0xcbb13d1b), TOBN(0x98799f42, 0x5bfb9bfe),
TOBN(0x1ae8ddc9, 0x701144a9), TOBN(0x0b8b3bb6, 0x4c5595ee),
TOBN(0x0ea9ef2e, 0x3ecebb21), TOBN(0x17cb6c4b, 0x3671f9a7),
TOBN(0x47ef464f, 0x726f1d1f), TOBN(0x171b9484, 0x6943a276),
TOBN(0x51a4ae2d, 0x7ef0329c), TOBN(0x08509222, 0x91c4402a),
TOBN(0x64a61d35, 0xafd45bbc), TOBN(0x38f096fe, 0x3035a851),
TOBN(0xc7468b74, 0xa1dec027), TOBN(0xe8cf10e7, 0x4fc7dcba),
TOBN(0xea35ff40, 0xf4a06353), TOBN(0x0b4c0dfa, 0x8b77dd66),
TOBN(0x779b8552, 0xde7e5c19), TOBN(0xfab28609, 0xc1c0256c),
TOBN(0x64f58eee, 0xabd4743d), TOBN(0x4e8ef838, 0x7b6cc93b),
TOBN(0xee650d26, 0x4cb1bf3d), TOBN(0x4c1f9d09, 0x73dedf61),
TOBN(0xaef7c9d7, 0xbfb70ced), TOBN(0x1ec0507e, 0x1641de1e),
TOBN(0xcd7e5cc7, 0xcde45079), TOBN(0xde173c9a, 0x516ac9e4),
TOBN(0x517a8494, 0xc170315c), TOBN(0x438fd905, 0x91d8e8fb),
TOBN(0x5145c506, 0xc7d9630b), TOBN(0x6457a87b, 0xf47d4d75),
TOBN(0xd31646bf, 0x0d9a80e8), TOBN(0x453add2b, 0xcef3aabe),
TOBN(0xc9941109, 0xa607419d), TOBN(0xfaa71e62, 0xbb6bca80),
TOBN(0x34158c13, 0x07c431f3), TOBN(0x594abebc, 0x992bc47a),
TOBN(0x6dfea691, 0xeb78399f), TOBN(0x48aafb35, 0x3f42cba4),
TOBN(0xedcd65af, 0x077c04f0), TOBN(0x1a29a366, 0xe884491a),
TOBN(0x023a40e5, 0x1c21f2bf), TOBN(0xf99a513c, 0xa5057aee),
TOBN(0xa3fe7e25, 0xbcab072e), TOBN(0x8568d2e1, 0x40e32bcf),
TOBN(0x904594eb, 0xd3f69d9f), TOBN(0x181a9733, 0x07affab1),
TOBN(0xe4d68d76, 0xb6e330f4), TOBN(0x87a6dafb, 0xc75a7fc1),
TOBN(0x549db2b5, 0xef7d9289), TOBN(0x2480d4a8, 0x197f015a),
TOBN(0x61d5590b, 0xc40493b6), TOBN(0x3a55b52e, 0x6f780331),
TOBN(0x40eb8115, 0x309eadb0), TOBN(0xdea7de5a, 0x92e5c625),
TOBN(0x64d631f0, 0xcc6a3d5a), TOBN(0x9d5e9d7c, 0x93e8dd61),
TOBN(0xf297bef5, 0x206d3ffc), TOBN(0x23d5e033, 0x7d808bd4),
TOBN(0x4a4f6912, 0xd24cf5ba), TOBN(0xe4d8163b, 0x09cdaa8a),
TOBN(0x0e0de9ef, 0xd3082e8e), TOBN(0x4fe1246c, 0x0192f360),
TOBN(0x1f900150, 0x4b8eee0a), TOBN(0x5219da81, 0xf1da391b),
TOBN(0x7bf6a5c1, 0xf7ea25aa), TOBN(0xd165e6bf, 0xfbb07d5f),
TOBN(0xe3539361, 0x89e78671), TOBN(0xa3fcac89, 0x2bac4219),
TOBN(0xdfab6fd4, 0xf0baa8ab), TOBN(0x5a4adac1, 0xe2c1c2e5),
TOBN(0x6cd75e31, 0x40d85849), TOBN(0xce263fea, 0x19b39181),
TOBN(0xcb6803d3, 0x07032c72), TOBN(0x7f40d5ce, 0x790968c8),
TOBN(0xa6de86bd, 0xdce978f0), TOBN(0x25547c4f, 0x368f751c),
TOBN(0xb1e685fd, 0x65fb2a9e), TOBN(0xce69336f, 0x1eb9179c),
TOBN(0xb15d1c27, 0x12504442), TOBN(0xb7df465c, 0xb911a06b),
TOBN(0xb8d804a3, 0x315980cd), TOBN(0x693bc492, 0xfa3bebf7),
TOBN(0x3578aeee, 0x2253c504), TOBN(0x158de498, 0xcd2474a2),
TOBN(0x1331f5c7, 0xcfda8368), TOBN(0xd2d7bbb3, 0x78d7177e),
TOBN(0xdf61133a, 0xf3c1e46e), TOBN(0x5836ce7d, 0xd30e7be8),
TOBN(0x83084f19, 0x94f834cb), TOBN(0xd35653d4, 0x429ed782),
TOBN(0xa542f16f, 0x59e58243), TOBN(0xc2b52f65, 0x0470a22d),
TOBN(0xe3b6221b, 0x18f23d96), TOBN(0xcb05abac, 0x3f5252b4),
TOBN(0xca00938b, 0x87d61402), TOBN(0x2f186cdd, 0x411933e4),
TOBN(0xe042ece5, 0x9a29a5c5), TOBN(0xb19b3c07, 0x3b6c8402),
TOBN(0xc97667c7, 0x19d92684), TOBN(0xb5624622, 0xebc66372),
TOBN(0x0cb96e65, 0x3c04fa02), TOBN(0x83a7176c, 0x8eaa39aa),
TOBN(0x2033561d, 0xeaa1633f), TOBN(0x45a9d086, 0x4533df73),
TOBN(0xe0542c1d, 0x3dc090bc), TOBN(0x82c996ef, 0xaa59c167),
TOBN(0xe3f735e8, 0x0ee7fc4d), TOBN(0x7b179393, 0x7c35db79),
TOBN(0xb6419e25, 0xf8c5dbfd), TOBN(0x4d9d7a1e, 0x1f327b04),
TOBN(0x979f6f9b, 0x298dfca8), TOBN(0xc7c5dff1, 0x8de9366a),
TOBN(0x1b7a588d, 0x04c82bdd), TOBN(0x68005534, 0xf8319dfd),
TOBN(0xde8a55b5, 0xd8eb9580), TOBN(0x5ea886da, 0x8d5bca81),
TOBN(0xe8530a01, 0x252a0b4d), TOBN(0x1bffb4fe, 0x35eaa0a1),
TOBN(0x2ad828b1, 0xd8e99563), TOBN(0x7de96ef5, 0x95f9cd87),
TOBN(0x4abb2d0c, 0xd77d970c), TOBN(0x03cfb933, 0xd33ef9cb),
TOBN(0xb0547c01, 0x8b211fe9), TOBN(0x2fe64809, 0xa56ed1c6),
TOBN(0xcb7d5624, 0xc2ac98cc), TOBN(0x2a1372c0, 0x1a393e33),
TOBN(0xc8d1ec1c, 0x29660521), TOBN(0xf3d31b04, 0xb37ac3e9),
TOBN(0xa29ae9df, 0x5ece6e7c), TOBN(0x0603ac8f, 0x0facfb55),
TOBN(0xcfe85b7a, 0xdda233a5), TOBN(0xe618919f, 0xbd75f0b8),
TOBN(0xf555a3d2, 0x99bf1603), TOBN(0x1f43afc9, 0xf184255a),
TOBN(0xdcdaf341, 0x319a3e02), TOBN(0xd3b117ef, 0x03903a39),
TOBN(0xe095da13, 0x65d1d131), TOBN(0x86f16367, 0xc37ad03e),
TOBN(0x5f37389e, 0x462cd8dd), TOBN(0xc103fa04, 0xd67a60e6),
TOBN(0x57c34344, 0xf4b478f0), TOBN(0xce91edd8, 0xe117c98d),
TOBN(0x001777b0, 0x231fc12e), TOBN(0x11ae47f2, 0xb207bccb),
TOBN(0xd983cf8d, 0x20f8a242), TOBN(0x7aff5b1d, 0xf22e1ad8),
TOBN(0x68fd11d0, 0x7fc4feb3), TOBN(0x5d53ae90, 0xb0f1c3e1),
TOBN(0x50fb7905, 0xec041803), TOBN(0x85e3c977, 0x14404888),
TOBN(0x0e67faed, 0xac628d8f), TOBN(0x2e865150, 0x6668532c),
TOBN(0x15acaaa4, 0x6a67a6b0), TOBN(0xf4cdee25, 0xb25cec41),
TOBN(0x49ee565a, 0xe4c6701e), TOBN(0x2a04ca66, 0xfc7d63d8),
TOBN(0xeb105018, 0xef0543fb), TOBN(0xf709a4f5, 0xd1b0d81d),
TOBN(0x5b906ee6, 0x2915d333), TOBN(0xf4a87412, 0x96f1f0ab),
TOBN(0xb6b82fa7, 0x4d82f4c2), TOBN(0x90725a60, 0x6804efb3),
TOBN(0xbc82ec46, 0xadc3425e), TOBN(0xb7b80581, 0x2787843e),
TOBN(0xdf46d91c, 0xdd1fc74c), TOBN(0xdc1c62cb, 0xe783a6c4),
TOBN(0x59d1b9f3, 0x1a04cbba), TOBN(0xd87f6f72, 0x95e40764),
TOBN(0x02b4cfc1, 0x317f4a76), TOBN(0x8d2703eb, 0x91036bce),
TOBN(0x98206cc6, 0xa5e72a56), TOBN(0x57be9ed1, 0xcf53fb0f),
TOBN(0x09374571, 0xef0b17ac), TOBN(0x74b2655e, 0xd9181b38),
TOBN(0xc8f80ea8, 0x89935d0e), TOBN(0xc0d9e942, 0x91529936),
TOBN(0x19686041, 0x1e84e0e5), TOBN(0xa5db84d3, 0xaea34c93),
TOBN(0xf9d5bb19, 0x7073a732), TOBN(0xb8d2fe56, 0x6bcfd7c0),
TOBN(0x45775f36, 0xf3eb82fa), TOBN(0x8cb20ccc, 0xfdff8b58),
TOBN(0x1659b65f, 0x8374c110), TOBN(0xb8b4a422, 0x330c789a),
TOBN(0x75e3c3ea, 0x6fe8208b), TOBN(0xbd74b9e4, 0x286e78fe),
TOBN(0x0be2e81b, 0xd7d93a1a), TOBN(0x7ed06e27, 0xdd0a5aae),
TOBN(0x721f5a58, 0x6be8b800), TOBN(0x428299d1, 0xd846db28),
TOBN(0x95cb8e6b, 0x5be88ed3), TOBN(0xc3186b23, 0x1c034e11),
TOBN(0xa6312c9e, 0x8977d99b), TOBN(0xbe944331, 0x83f531e7),
TOBN(0x8232c0c2, 0x18d3b1d4), TOBN(0x617aae8b, 0xe1247b73),
TOBN(0x40153fc4, 0x282aec3b), TOBN(0xc6063d2f, 0xf7b8f823),
TOBN(0x68f10e58, 0x3304f94c), TOBN(0x31efae74, 0xee676346),
TOBN(0xbadb6c6d, 0x40a9b97c), TOBN(0x14702c63, 0x4f666256),
TOBN(0xdeb954f1, 0x5184b2e3), TOBN(0x5184a526, 0x94b6ca40),
TOBN(0xfff05337, 0x003c32ea), TOBN(0x5aa374dd, 0x205974c7),
TOBN(0x9a763854, 0x4b0dd71a), TOBN(0x459cd27f, 0xdeb947ec),
TOBN(0xa6e28161, 0x459c2b92), TOBN(0x2f020fa8, 0x75ee8ef5),
TOBN(0xb132ec2d, 0x30b06310), TOBN(0xc3e15899, 0xbc6a4530),
TOBN(0xdc5f53fe, 0xaa3f451a), TOBN(0x3a3c7f23, 0xc2d9acac),
TOBN(0x2ec2f892, 0x6b27e58b), TOBN(0x68466ee7, 0xd742799f),
TOBN(0x98324dd4, 0x1fa26613), TOBN(0xa2dc6dab, 0xbdc29d63),
TOBN(0xf9675faa, 0xd712d657), TOBN(0x813994be, 0x21fd8d15),
TOBN(0x5ccbb722, 0xfd4f7553), TOBN(0x5135ff8b, 0xf3a36b20),
TOBN(0x44be28af, 0x69559df5), TOBN(0x40b65bed, 0x9d41bf30),
TOBN(0xd98bf2a4, 0x3734e520), TOBN(0x5e3abbe3, 0x209bdcba),
TOBN(0x77c76553, 0xbc945b35), TOBN(0x5331c093, 0xc6ef14aa),
TOBN(0x518ffe29, 0x76b60c80), TOBN(0x2285593b, 0x7ace16f8),
TOBN(0xab1f64cc, 0xbe2b9784), TOBN(0xe8f2c0d9, 0xab2421b6),
TOBN(0x617d7174, 0xc1df065c), TOBN(0xafeeb5ab, 0x5f6578fa),
TOBN(0x16ff1329, 0x263b54a8), TOBN(0x45c55808, 0xc990dce3),
TOBN(0x42eab6c0, 0xecc8c177), TOBN(0x799ea9b5, 0x5982ecaa),
TOBN(0xf65da244, 0xb607ef8e), TOBN(0x8ab226ce, 0x32a3fc2c),
TOBN(0x745741e5, 0x7ea973dc), TOBN(0x5c00ca70, 0x20888f2e),
TOBN(0x7cdce3cf, 0x45fd9cf1), TOBN(0x8a741ef1, 0x5507f872),
TOBN(0x47c51c2f, 0x196b4cec), TOBN(0x70d08e43, 0xc97ea618),
TOBN(0x930da15c, 0x15b18a2b), TOBN(0x33b6c678, 0x2f610514),
TOBN(0xc662e4f8, 0x07ac9794), TOBN(0x1eccf050, 0xba06cb79),
TOBN(0x1ff08623, 0xe7d954e5), TOBN(0x6ef2c5fb, 0x24cf71c3),
TOBN(0xb2c063d2, 0x67978453), TOBN(0xa0cf3796, 0x1d654af8),
TOBN(0x7cb242ea, 0x7ebdaa37), TOBN(0x206e0b10, 0xb86747e0),
TOBN(0x481dae5f, 0xd5ecfefc), TOBN(0x07084fd8, 0xc2bff8fc),
TOBN(0x8040a01a, 0xea324596), TOBN(0x4c646980, 0xd4de4036),
TOBN(0x9eb8ab4e, 0xd65abfc3), TOBN(0xe01cb91f, 0x13541ec7),
TOBN(0x8f029adb, 0xfd695012), TOBN(0x9ae28483, 0x3c7569ec),
TOBN(0xa5614c9e, 0xa66d80a1), TOBN(0x680a3e44, 0x75f5f911),
TOBN(0x0c07b14d, 0xceba4fc1), TOBN(0x891c285b, 0xa13071c1),
TOBN(0xcac67ceb, 0x799ece3c), TOBN(0x29b910a9, 0x41e07e27),
TOBN(0x66bdb409, 0xf2e43123), TOBN(0x06f8b137, 0x7ac9ecbe),
TOBN(0x5981fafd, 0x38547090), TOBN(0x19ab8b9f, 0x85e3415d),
TOBN(0xfc28c194, 0xc7e31b27), TOBN(0x843be0aa, 0x6fbcbb42),
TOBN(0xf3b1ed43, 0xa6db836c), TOBN(0x2a1330e4, 0x01a45c05),
TOBN(0x4f19f3c5, 0x95c1a377), TOBN(0xa85f39d0, 0x44b5ee33),
TOBN(0x3da18e6d, 0x4ae52834), TOBN(0x5a403b39, 0x7423dcb0),
TOBN(0xbb555e0a, 0xf2374aef), TOBN(0x2ad599c4, 0x1e8ca111),
TOBN(0x1b3a2fb9, 0x014b3bf8), TOBN(0x73092684, 0xf66d5007),
TOBN(0x079f1426, 0xc4340102), TOBN(0x1827cf81, 0x8fddf4de),
TOBN(0xc83605f6, 0xf10ff927), TOBN(0xd3871451, 0x23739fc6),
TOBN(0x6d163450, 0xcac1c2cc), TOBN(0x6b521296, 0xa2ec1ac5),
TOBN(0x0606c4f9, 0x6e3cb4a5), TOBN(0xe47d3f41, 0x778abff7),
TOBN(0x425a8d5e, 0xbe8e3a45), TOBN(0x53ea9e97, 0xa6102160),
TOBN(0x477a106e, 0x39cbb688), TOBN(0x532401d2, 0xf3386d32),
TOBN(0x8e564f64, 0xb1b9b421), TOBN(0xca9b8388, 0x81dad33f),
TOBN(0xb1422b4e, 0x2093913e), TOBN(0x533d2f92, 0x69bc8112),
TOBN(0x3fa017be, 0xebe7b2c7), TOBN(0xb2767c4a, 0xcaf197c6),
TOBN(0xc925ff87, 0xaedbae9f), TOBN(0x7daf0eb9, 0x36880a54),
TOBN(0x9284ddf5, 0x9c4d0e71), TOBN(0x1581cf93, 0x316f8cf5),
TOBN(0x3eeca887, 0x3ac1f452), TOBN(0xb417fce9, 0xfb6aeffe),
TOBN(0xa5918046, 0xeefb8dc3), TOBN(0x73d318ac, 0x02209400),
TOBN(0xe800400f, 0x728693e5), TOBN(0xe87d814b, 0x339927ed),
TOBN(0x93e94d3b, 0x57ea9910), TOBN(0xff8a35b6, 0x2245fb69),
TOBN(0x043853d7, 0x7f200d34), TOBN(0x470f1e68, 0x0f653ce1),
TOBN(0x81ac05bd, 0x59a06379), TOBN(0xa14052c2, 0x03930c29),
TOBN(0x6b72fab5, 0x26bc2797), TOBN(0x13670d16, 0x99f16771),
TOBN(0x00170052, 0x1e3e48d1), TOBN(0x978fe401, 0xb7adf678),
TOBN(0x55ecfb92, 0xd41c5dd4), TOBN(0x5ff8e247, 0xc7b27da5),
TOBN(0xe7518272, 0x013fb606), TOBN(0x5768d7e5, 0x2f547a3c),
TOBN(0xbb24eaa3, 0x60017a5f), TOBN(0x6b18e6e4, 0x9c64ce9b),
TOBN(0xc225c655, 0x103dde07), TOBN(0xfc3672ae, 0x7592f7ea),
TOBN(0x9606ad77, 0xd06283a1), TOBN(0x542fc650, 0xe4d59d99),
TOBN(0xabb57c49, 0x2a40e7c2), TOBN(0xac948f13, 0xa8db9f55),
TOBN(0x6d4c9682, 0xb04465c3), TOBN(0xe3d062fa, 0x6468bd15),
TOBN(0xa51729ac, 0x5f318d7e), TOBN(0x1fc87df6, 0x9eb6fc95),
TOBN(0x63d146a8, 0x0591f652), TOBN(0xa861b8f7, 0x589621aa),
TOBN(0x59f5f15a, 0xce31348c), TOBN(0x8f663391, 0x440da6da),
TOBN(0xcfa778ac, 0xb591ffa3), TOBN(0x027ca9c5, 0x4cdfebce),
TOBN(0xbe8e05a5, 0x444ea6b3), TOBN(0x8aab4e69, 0xa78d8254),
TOBN(0x2437f04f, 0xb474d6b8), TOBN(0x6597ffd4, 0x045b3855),
TOBN(0xbb0aea4e, 0xca47ecaa), TOBN(0x568aae83, 0x85c7ebfc),
TOBN(0x0e966e64, 0xc73b2383), TOBN(0x49eb3447, 0xd17d8762),
TOBN(0xde107821, 0x8da05dab), TOBN(0x443d8baa, 0x016b7236),
TOBN(0x163b63a5, 0xea7610d6), TOBN(0xe47e4185, 0xce1ca979),
TOBN(0xae648b65, 0x80baa132), TOBN(0xebf53de2, 0x0e0d5b64),
TOBN(0x8d3bfcb4, 0xd3c8c1ca), TOBN(0x0d914ef3, 0x5d04b309),
TOBN(0x55ef6415, 0x3de7d395), TOBN(0xbde1666f, 0x26b850e8),
TOBN(0xdbe1ca6e, 0xd449ab19), TOBN(0x8902b322, 0xe89a2672),
TOBN(0xb1674b7e, 0xdacb7a53), TOBN(0x8e9faf6e, 0xf52523ff),
TOBN(0x6ba535da, 0x9a85788b), TOBN(0xd21f03ae, 0xbd0626d4),
TOBN(0x099f8c47, 0xe873dc64), TOBN(0xcda8564d, 0x018ec97e),
TOBN(0x3e8d7a5c, 0xde92c68c), TOBN(0x78e035a1, 0x73323cc4),
TOBN(0x3ef26275, 0xf880ff7c), TOBN(0xa4ee3dff, 0x273eedaa),
TOBN(0x58823507, 0xaf4e18f8), TOBN(0x967ec9b5, 0x0672f328),
TOBN(0x9ded19d9, 0x559d3186), TOBN(0x5e2ab3de, 0x6cdce39c),
TOBN(0xabad6e4d, 0x11c226df), TOBN(0xf9783f43, 0x87723014),
TOBN(0x9a49a0cf, 0x1a885719), TOBN(0xfc0c1a5a, 0x90da9dbf),
TOBN(0x8bbaec49, 0x571d92ac), TOBN(0x569e85fe, 0x4692517f),
TOBN(0x8333b014, 0xa14ea4af), TOBN(0x32f2a62f, 0x12e5c5ad),
TOBN(0x98c2ce3a, 0x06d89b85), TOBN(0xb90741aa, 0x2ff77a08),
TOBN(0x2530defc, 0x01f795a2), TOBN(0xd6e5ba0b, 0x84b3c199),
TOBN(0x7d8e8451, 0x12e4c936), TOBN(0xae419f7d, 0xbd0be17b),
TOBN(0xa583fc8c, 0x22262bc9), TOBN(0x6b842ac7, 0x91bfe2bd),
TOBN(0x33cef4e9, 0x440d6827), TOBN(0x5f69f4de, 0xef81fb14),
TOBN(0xf16cf6f6, 0x234fbb92), TOBN(0x76ae3fc3, 0xd9e7e158),
TOBN(0x4e89f6c2, 0xe9740b33), TOBN(0x677bc85d, 0x4962d6a1),
TOBN(0x6c6d8a7f, 0x68d10d15), TOBN(0x5f9a7224, 0x0257b1cd),
TOBN(0x7096b916, 0x4ad85961), TOBN(0x5f8c47f7, 0xe657ab4a),
TOBN(0xde57d7d0, 0xf7461d7e), TOBN(0x7eb6094d, 0x80ce5ee2),
TOBN(0x0b1e1dfd, 0x34190547), TOBN(0x8a394f43, 0xf05dd150),
TOBN(0x0a9eb24d, 0x97df44e6), TOBN(0x78ca06bf, 0x87675719),
TOBN(0x6f0b3462, 0x6ffeec22), TOBN(0x9d91bcea, 0x36cdd8fb),
TOBN(0xac83363c, 0xa105be47), TOBN(0x81ba76c1, 0x069710e3),
TOBN(0x3d1b24cb, 0x28c682c6), TOBN(0x27f25228, 0x8612575b),
TOBN(0xb587c779, 0xe8e66e98), TOBN(0x7b0c03e9, 0x405eb1fe),
TOBN(0xfdf0d030, 0x15b548e7), TOBN(0xa8be76e0, 0x38b36af7),
TOBN(0x4cdab04a, 0x4f310c40), TOBN(0x6287223e, 0xf47ecaec),
TOBN(0x678e6055, 0x8b399320), TOBN(0x61fe3fa6, 0xc01e4646),
TOBN(0xc482866b, 0x03261a5e), TOBN(0xdfcf45b8, 0x5c2f244a),
TOBN(0x8fab9a51, 0x2f684b43), TOBN(0xf796c654, 0xc7220a66),
TOBN(0x1d90707e, 0xf5afa58f), TOBN(0x2c421d97, 0x4fdbe0de),
TOBN(0xc4f4cda3, 0xaf2ebc2f), TOBN(0xa0af843d, 0xcb4efe24),
TOBN(0x53b857c1, 0x9ccd10b1), TOBN(0xddc9d1eb, 0x914d3e04),
TOBN(0x7bdec8bb, 0x62771deb), TOBN(0x829277aa, 0x91c5aa81),
TOBN(0x7af18dd6, 0x832391ae), TOBN(0x1740f316, 0xc71a84ca),}
,
{TOBN(0x8928e99a, 0xeeaf8c49), TOBN(0xee7aa73d, 0x6e24d728),
TOBN(0x4c5007c2, 0xe72b156c), TOBN(0x5fcf57c5, 0xed408a1d),
TOBN(0x9f719e39, 0xb6057604), TOBN(0x7d343c01, 0xc2868bbf),
TOBN(0x2cca254b, 0x7e103e2d), TOBN(0xe6eb38a9, 0xf131bea2),
TOBN(0xb33e624f, 0x8be762b4), TOBN(0x2a9ee4d1, 0x058e3413),
TOBN(0x968e6369, 0x67d805fa), TOBN(0x9848949b, 0x7db8bfd7),
TOBN(0x5308d7e5, 0xd23a8417), TOBN(0x892f3b1d, 0xf3e29da5),
TOBN(0xc95c139e, 0x3dee471f), TOBN(0x8631594d, 0xd757e089),
TOBN(0xe0c82a3c, 0xde918dcc), TOBN(0x2e7b5994, 0x26fdcf4b),
TOBN(0x82c50249, 0x32cb1b2d), TOBN(0xea613a9d, 0x7657ae07),
TOBN(0xc2eb5f6c, 0xf1fdc9f7), TOBN(0xb6eae8b8, 0x879fe682),
TOBN(0x253dfee0, 0x591cbc7f), TOBN(0x000da713, 0x3e1290e6),
TOBN(0x1083e2ea, 0x1f095615), TOBN(0x0a28ad77, 0x14e68c33),
TOBN(0x6bfc0252, 0x3d8818be), TOBN(0xb585113a, 0xf35850cd),
TOBN(0x7d935f0b, 0x30df8aa1), TOBN(0xaddda07c, 0x4ab7e3ac),
TOBN(0x92c34299, 0x552f00cb), TOBN(0xc33ed1de, 0x2909df6c),
TOBN(0x22c2195d, 0x80e87766), TOBN(0x9e99e6d8, 0x9ddf4ac0),
TOBN(0x09642e4e, 0x65e74934), TOBN(0x2610ffa2, 0xff1ff241),
TOBN(0x4d1d47d4, 0x751c8159), TOBN(0x697b4985, 0xaf3a9363),
TOBN(0x0318ca46, 0x87477c33), TOBN(0xa90cb565, 0x9441eff3),
TOBN(0x58bb3848, 0x36f024cb), TOBN(0x85be1f77, 0x36016168),
TOBN(0x6c59587c, 0xdc7e07f1), TOBN(0x191be071, 0xaf1d8f02),
TOBN(0xbf169fa5, 0xcca5e55c), TOBN(0x3864ba3c, 0xf7d04eac),
TOBN(0x915e367f, 0x8d7d05db), TOBN(0xb48a876d, 0xa6549e5d),
TOBN(0xef89c656, 0x580e40a2), TOBN(0xf194ed8c, 0x728068bc),
TOBN(0x74528045, 0xa47990c9), TOBN(0xf53fc7d7, 0x5e1a4649),
TOBN(0xbec5ae9b, 0x78593e7d), TOBN(0x2cac4ee3, 0x41db65d7),
TOBN(0xa8c1eb24, 0x04a3d39b), TOBN(0x53b7d634, 0x03f8f3ef),
TOBN(0x2dc40d48, 0x3e07113c), TOBN(0x6e4a5d39, 0x7d8b63ae),
TOBN(0x5582a94b, 0x79684c2b), TOBN(0x932b33d4, 0x622da26c),
TOBN(0xf534f651, 0x0dbbf08d), TOBN(0x211d07c9, 0x64c23a52),
TOBN(0x0eeece0f, 0xee5bdc9b), TOBN(0xdf178168, 0xf7015558),
TOBN(0xd4294635, 0x0a712229), TOBN(0x93cbe448, 0x09273f8c),
TOBN(0x00b095ef, 0x8f13bc83), TOBN(0xbb741972, 0x8798978c),
TOBN(0x9d7309a2, 0x56dbe6e7), TOBN(0xe578ec56, 0x5a5d39ec),
TOBN(0x3961151b, 0x851f9a31), TOBN(0x2da7715d, 0xe5709eb4),
TOBN(0x867f3017, 0x53dfabf0), TOBN(0x728d2078, 0xb8e39259),
TOBN(0x5c75a0cd, 0x815d9958), TOBN(0xf84867a6, 0x16603be1),
TOBN(0xc865b13d, 0x70e35b1c), TOBN(0x02414468, 0x19b03e2c),
TOBN(0xe46041da, 0xac1f3121), TOBN(0x7c9017ad, 0x6f028a7c),
TOBN(0xabc96de9, 0x0a482873), TOBN(0x4265d6b1, 0xb77e54d4),
TOBN(0x68c38e79, 0xa57d88e7), TOBN(0xd461d766, 0x9ce82de3),
TOBN(0x817a9ec5, 0x64a7e489), TOBN(0xcc5675cd, 0xa0def5f2),
TOBN(0x9a00e785, 0x985d494e), TOBN(0xc626833f, 0x1b03514a),
TOBN(0xabe7905a, 0x83cdd60e), TOBN(0x50602fb5, 0xa1170184),
TOBN(0x689886cd, 0xb023642a), TOBN(0xd568d090, 0xa6e1fb00),
TOBN(0x5b1922c7, 0x0259217f), TOBN(0x93831cd9, 0xc43141e4),
TOBN(0xdfca3587, 0x0c95f86e), TOBN(0xdec2057a, 0x568ae828),
TOBN(0xc44ea599, 0xf98a759a), TOBN(0x55a0a7a2, 0xf7c23c1d),
TOBN(0xd5ffb6e6, 0x94c4f687), TOBN(0x3563cce2, 0x12848478),
TOBN(0x812b3517, 0xe7b1fbe1), TOBN(0x8a7dc979, 0x4f7338e0),
TOBN(0x211ecee9, 0x52d048db), TOBN(0x2eea4056, 0xc86ea3b8),
TOBN(0xd8cb68a7, 0xba772b34), TOBN(0xe16ed341, 0x5f4e2541),
TOBN(0x9b32f6a6, 0x0fec14db), TOBN(0xeee376f7, 0x391698be),
TOBN(0xe9a7aa17, 0x83674c02), TOBN(0x65832f97, 0x5843022a),
TOBN(0x29f3a8da, 0x5ba4990f), TOBN(0x79a59c3a, 0xfb8e3216),
TOBN(0x9cdc4d2e, 0xbd19bb16), TOBN(0xc6c7cfd0, 0xb3262d86),
TOBN(0xd4ce14d0, 0x969c0b47), TOBN(0x1fa352b7, 0x13e56128),
TOBN(0x383d55b8, 0x973db6d3), TOBN(0x71836850, 0xe8e5b7bf),
TOBN(0xc7714596, 0xe6bb571f), TOBN(0x259df31f, 0x2d5b2dd2),
TOBN(0x568f8925, 0x913cc16d), TOBN(0x18bc5b6d, 0xe1a26f5a),
TOBN(0xdfa413be, 0xf5f499ae), TOBN(0xf8835dec, 0xc3f0ae84),
TOBN(0xb6e60bd8, 0x65a40ab0), TOBN(0x65596439, 0x194b377e),
TOBN(0xbcd85625, 0x92084a69), TOBN(0x5ce433b9, 0x4f23ede0),
TOBN(0xe8e8f04f, 0x6ad65143), TOBN(0x11511827, 0xd6e14af6),
TOBN(0x3d390a10, 0x8295c0c7), TOBN(0x71e29ee4, 0x621eba16),
TOBN(0xa588fc09, 0x63717b46), TOBN(0x02be02fe, 0xe06ad4a2),
TOBN(0x931558c6, 0x04c22b22), TOBN(0xbb4d4bd6, 0x12f3c849),
TOBN(0x54a4f496, 0x20efd662), TOBN(0x92ba6d20, 0xc5952d14),
TOBN(0x2db8ea1e, 0xcc9784c2), TOBN(0x81cc10ca, 0x4b353644),
TOBN(0x40b570ad, 0x4b4d7f6c), TOBN(0x5c9f1d96, 0x84a1dcd2),
TOBN(0x01379f81, 0x3147e797), TOBN(0xe5c6097b, 0x2bd499f5),
TOBN(0x40dcafa6, 0x328e5e20), TOBN(0xf7b5244a, 0x54815550),
TOBN(0xb9a4f118, 0x47bfc978), TOBN(0x0ea0e79f, 0xd25825b1),
TOBN(0xa50f96eb, 0x646c7ecf), TOBN(0xeb811493, 0x446dea9d),
TOBN(0x2af04677, 0xdfabcf69), TOBN(0xbe3a068f, 0xc713f6e8),
TOBN(0x860d523d, 0x42e06189), TOBN(0xbf077941, 0x4e3aff13),
TOBN(0x0b616dca, 0xc1b20650), TOBN(0xe66dd6d1, 0x2131300d),
TOBN(0xd4a0fd67, 0xff99abde), TOBN(0xc9903550, 0xc7aac50d),
TOBN(0x022ecf8b, 0x7c46b2d7), TOBN(0x3333b1e8, 0x3abf92af),
TOBN(0x11cc113c, 0x6c491c14), TOBN(0x05976688, 0x80dd3f88),
TOBN(0xf5b4d9e7, 0x29d932ed), TOBN(0xe982aad8, 0xa2c38b6d),
TOBN(0x6f925347, 0x8be0dcf0), TOBN(0x700080ae, 0x65ca53f2),
TOBN(0xd8131156, 0x443ca77f), TOBN(0xe92d6942, 0xec51f984),
TOBN(0xd2a08af8, 0x85dfe9ae), TOBN(0xd825d9a5, 0x4d2a86ca),
TOBN(0x2c53988d, 0x39dff020), TOBN(0xf38b135a, 0x430cdc40),
TOBN(0x0c918ae0, 0x62a7150b), TOBN(0xf31fd8de, 0x0c340e9b),
TOBN(0xafa0e7ae, 0x4dbbf02e), TOBN(0x5847fb2a, 0x5eba6239),
TOBN(0x6b1647dc, 0xdccbac8b), TOBN(0xb642aa78, 0x06f485c8),
TOBN(0x873f3765, 0x7038ecdf), TOBN(0x2ce5e865, 0xfa49d3fe),
TOBN(0xea223788, 0xc98c4400), TOBN(0x8104a8cd, 0xf1fa5279),
TOBN(0xbcf7cc7a, 0x06becfd7), TOBN(0x49424316, 0xc8f974ae),
TOBN(0xc0da65e7, 0x84d6365d), TOBN(0xbcb7443f, 0x8f759fb8),
TOBN(0x35c712b1, 0x7ae81930), TOBN(0x80428dff, 0x4c6e08ab),
TOBN(0xf19dafef, 0xa4faf843), TOBN(0xced8538d, 0xffa9855f),
TOBN(0x20ac409c, 0xbe3ac7ce), TOBN(0x358c1fb6, 0x882da71e),
TOBN(0xafa9c0e5, 0xfd349961), TOBN(0x2b2cfa51, 0x8421c2fc),
TOBN(0x2a80db17, 0xf3a28d38), TOBN(0xa8aba539, 0x5d138e7e),
TOBN(0x52012d1d, 0x6e96eb8d), TOBN(0x65d8dea0, 0xcbaf9622),
TOBN(0x57735447, 0xb264f56c), TOBN(0xbeebef3f, 0x1b6c8da2),
TOBN(0xfc346d98, 0xce785254), TOBN(0xd50e8d72, 0xbb64a161),
TOBN(0xc03567c7, 0x49794add), TOBN(0x15a76065, 0x752c7ef6),
TOBN(0x59f3a222, 0x961f23d6), TOBN(0x378e4438, 0x73ecc0b0),
TOBN(0xc74be434, 0x5a82fde4), TOBN(0xae509af2, 0xd8b9cf34),
TOBN(0x4a61ee46, 0x577f44a1), TOBN(0xe09b748c, 0xb611deeb),
TOBN(0xc0481b2c, 0xf5f7b884), TOBN(0x35626678, 0x61acfa6b),
TOBN(0x37f4c518, 0xbf8d21e6), TOBN(0x22d96531, 0xb205a76d),
TOBN(0x37fb85e1, 0x954073c0), TOBN(0xbceafe4f, 0x65b3a567),
TOBN(0xefecdef7, 0xbe42a582), TOBN(0xd3fc6080, 0x65046be6),
TOBN(0xc9af13c8, 0x09e8dba9), TOBN(0x1e6c9847, 0x641491ff),
TOBN(0x3b574925, 0xd30c31f7), TOBN(0xb7eb72ba, 0xac2a2122),
TOBN(0x776a0dac, 0xef0859e7), TOBN(0x06fec314, 0x21900942),
TOBN(0x2464bc10, 0xf8c22049), TOBN(0x9bfbcce7, 0x875ebf69),
TOBN(0xd7a88e2a, 0x4336326b), TOBN(0xda05261c, 0x5bc2acfa),
TOBN(0xc29f5bdc, 0xeba7efc8), TOBN(0x471237ca, 0x25dbbf2e),
TOBN(0xa72773f2, 0x2975f127), TOBN(0xdc744e8e, 0x04d0b326),
TOBN(0x38a7ed16, 0xa56edb73), TOBN(0x64357e37, 0x2c007e70),
TOBN(0xa167d15b, 0x5080b400), TOBN(0x07b41164, 0x23de4be1),
TOBN(0xb2d91e32, 0x74c89883), TOBN(0x3c162821, 0x2882e7ed),
TOBN(0xad6b36ba, 0x7503e482), TOBN(0x48434e8e, 0x0ea34331),
TOBN(0x79f4f24f, 0x2c7ae0b9), TOBN(0xc46fbf81, 0x1939b44a),
TOBN(0x76fefae8, 0x56595eb1), TOBN(0x417b66ab, 0xcd5f29c7),
TOBN(0x5f2332b2, 0xc5ceec20), TOBN(0xd69661ff, 0xe1a1cae2),
TOBN(0x5ede7e52, 0x9b0286e6), TOBN(0x9d062529, 0xe276b993),
TOBN(0x324794b0, 0x7e50122b), TOBN(0xdd744f8b, 0x4af07ca5),
TOBN(0x30a12f08, 0xd63fc97b), TOBN(0x39650f1a, 0x76626d9d),
TOBN(0x101b47f7, 0x1fa38477), TOBN(0x3d815f19, 0xd4dc124f),
TOBN(0x1569ae95, 0xb26eb58a), TOBN(0xc3cde188, 0x95fb1887),
TOBN(0x54e9f37b, 0xf9539a48), TOBN(0xb0100e06, 0x7408c1a5),
TOBN(0x821d9811, 0xea580cbb), TOBN(0x8af52d35, 0x86e50c56),
TOBN(0xdfbd9d47, 0xdbbf698b), TOBN(0x2961a1ea, 0x03dc1c73),
TOBN(0x203d38f8, 0xe76a5df8), TOBN(0x08a53a68, 0x6def707a),
TOBN(0x26eefb48, 0x1bee45d4), TOBN(0xb3cee346, 0x3c688036),
TOBN(0x463c5315, 0xc42f2469), TOBN(0x19d84d2e, 0x81378162),
TOBN(0x22d7c3c5, 0x1c4d349f), TOBN(0x65965844, 0x163d59c5),
TOBN(0xcf198c56, 0xb8abceae), TOBN(0x6fb1fb1b, 0x628559d5),
TOBN(0x8bbffd06, 0x07bf8fe3), TOBN(0x46259c58, 0x3467734b),
TOBN(0xd8953cea, 0x35f7f0d3), TOBN(0x1f0bece2, 0xd65b0ff1),
TOBN(0xf7d5b4b3, 0xf3c72914), TOBN(0x29e8ea95, 0x3cb53389),
TOBN(0x4a365626, 0x836b6d46), TOBN(0xe849f910, 0xea174fde),
TOBN(0x7ec62fbb, 0xf4737f21), TOBN(0xd8dba5ab, 0x6209f5ac),
TOBN(0x24b5d7a9, 0xa5f9adbe), TOBN(0x707d28f7, 0xa61dc768),
TOBN(0x7711460b, 0xcaa999ea), TOBN(0xba7b174d, 0x1c92e4cc),
TOBN(0x3c4bab66, 0x18d4bf2d), TOBN(0xb8f0c980, 0xeb8bd279),
TOBN(0x024bea9a, 0x324b4737), TOBN(0xfba9e423, 0x32a83bca),
TOBN(0x6e635643, 0xa232dced), TOBN(0x99619367, 0x2571c8ba),
TOBN(0xe8c9f357, 0x54b7032b), TOBN(0xf936b3ba, 0x2442d54a),
TOBN(0x2263f0f0, 0x8290c65a), TOBN(0x48989780, 0xee2c7fdb),
TOBN(0xadc5d55a, 0x13d4f95e), TOBN(0x737cff85, 0xad9b8500),
TOBN(0x271c557b, 0x8a73f43d), TOBN(0xbed617a4, 0xe18bc476),
TOBN(0x66245401, 0x7dfd8ab2), TOBN(0xae7b89ae, 0x3a2870aa),
TOBN(0x1b555f53, 0x23a7e545), TOBN(0x6791e247, 0xbe057e4c),
TOBN(0x860136ad, 0x324fa34d), TOBN(0xea111447, 0x4cbeae28),
TOBN(0x023a4270, 0xbedd3299), TOBN(0x3d5c3a7f, 0xc1c35c34),
TOBN(0xb0f6db67, 0x8d0412d2), TOBN(0xd92625e2, 0xfcdc6b9a),
TOBN(0x92ae5ccc, 0x4e28a982), TOBN(0xea251c36, 0x47a3ce7e),
TOBN(0x9d658932, 0x790691bf), TOBN(0xed610589, 0x06b736ae),
TOBN(0x712c2f04, 0xc0d63b6e), TOBN(0x5cf06fd5, 0xc63d488f),
TOBN(0x97363fac, 0xd9588e41), TOBN(0x1f9bf762, 0x2b93257e),
TOBN(0xa9d1ffc4, 0x667acace), TOBN(0x1cf4a1aa, 0x0a061ecf),
TOBN(0x40e48a49, 0xdc1818d0), TOBN(0x0643ff39, 0xa3621ab0),
TOBN(0x5768640c, 0xe39ef639), TOBN(0x1fc099ea, 0x04d86854),
TOBN(0x9130b9c3, 0xeccd28fd), TOBN(0xd743cbd2, 0x7eec54ab),
TOBN(0x052b146f, 0xe5b475b6), TOBN(0x058d9a82, 0x900a7d1f),
TOBN(0x65e02292, 0x91262b72), TOBN(0x96f924f9, 0xbb0edf03),
TOBN(0x5cfa59c8, 0xfe206842), TOBN(0xf6037004, 0x5eafa720),
TOBN(0x5f30699e, 0x18d7dd96), TOBN(0x381e8782, 0xcbab2495),
TOBN(0x91669b46, 0xdd8be949), TOBN(0xb40606f5, 0x26aae8ef),
TOBN(0x2812b839, 0xfc6751a4), TOBN(0x16196214, 0xfba800ef),
TOBN(0x4398d5ca, 0x4c1a2875), TOBN(0x720c00ee, 0x653d8349),
TOBN(0xc2699eb0, 0xd820007c), TOBN(0x880ee660, 0xa39b5825),
TOBN(0x70694694, 0x471f6984), TOBN(0xf7d16ea8, 0xe3dda99a),
TOBN(0x28d675b2, 0xc0519a23), TOBN(0x9ebf94fe, 0x4f6952e3),
TOBN(0xf28bb767, 0xa2294a8a), TOBN(0x85512b4d, 0xfe0af3f5),
TOBN(0x18958ba8, 0x99b16a0d), TOBN(0x95c2430c, 0xba7548a7),
TOBN(0xb30d1b10, 0xa16be615), TOBN(0xe3ebbb97, 0x85bfb74c),
TOBN(0xa3273cfe, 0x18549fdb), TOBN(0xf6e200bf, 0x4fcdb792),
TOBN(0x54a76e18, 0x83aba56c), TOBN(0x73ec66f6, 0x89ef6aa2),
TOBN(0x8d17add7, 0xd1b9a305), TOBN(0xa959c5b9, 0xb7ae1b9d),
TOBN(0x88643522, 0x6bcc094a), TOBN(0xcc5616c4, 0xd7d429b9),
TOBN(0xa6dada01, 0xe6a33f7c), TOBN(0xc6217a07, 0x9d4e70ad),
TOBN(0xd619a818, 0x09c15b7c), TOBN(0xea06b329, 0x0e80c854),
TOBN(0x174811ce, 0xa5f5e7b9), TOBN(0x66dfc310, 0x787c65f4),
TOBN(0x4ea7bd69, 0x3316ab54), TOBN(0xc12c4acb, 0x1dcc0f70),
TOBN(0xe4308d1a, 0x1e407dd9), TOBN(0xe8a3587c, 0x91afa997),
TOBN(0xea296c12, 0xab77b7a5), TOBN(0xb5ad49e4, 0x673c0d52),
TOBN(0x40f9b2b2, 0x7006085a), TOBN(0xa88ff340, 0x87bf6ec2),
TOBN(0x978603b1, 0x4e3066a6), TOBN(0xb3f99fc2, 0xb5e486e2),
TOBN(0x07b53f5e, 0xb2e63645), TOBN(0xbe57e547, 0x84c84232),
TOBN(0xd779c216, 0x7214d5cf), TOBN(0x617969cd, 0x029a3aca),
TOBN(0xd17668cd, 0x8a7017a0), TOBN(0x77b4d19a, 0xbe9b7ee8),
TOBN(0x58fd0e93, 0x9c161776), TOBN(0xa8c4f4ef, 0xd5968a72),
TOBN(0x296071cc, 0x67b3de77), TOBN(0xae3c0b8e, 0x634f7905),
TOBN(0x67e440c2, 0x8a7100c9), TOBN(0xbb8c3c1b, 0xeb4b9b42),
TOBN(0x6d71e8ea, 0xc51b3583), TOBN(0x7591f5af, 0x9525e642),
TOBN(0xf73a2f7b, 0x13f509f3), TOBN(0x618487aa, 0x5619ac9b),
TOBN(0x3a72e5f7, 0x9d61718a), TOBN(0x00413bcc, 0x7592d28c),
TOBN(0x7d9b11d3, 0x963c35cf), TOBN(0x77623bcf, 0xb90a46ed),
TOBN(0xdeef273b, 0xdcdd2a50), TOBN(0x4a741f9b, 0x0601846e),
TOBN(0x33b89e51, 0x0ec6e929), TOBN(0xcb02319f, 0x8b7f22cd),
TOBN(0xbbe1500d, 0x084bae24), TOBN(0x2f0ae8d7, 0x343d2693),
TOBN(0xacffb5f2, 0x7cdef811), TOBN(0xaa0c030a, 0x263fb94f),
TOBN(0x6eef0d61, 0xa0f442de), TOBN(0xf92e1817, 0x27b139d3),
TOBN(0x1ae6deb7, 0x0ad8bc28), TOBN(0xa89e38dc, 0xc0514130),
TOBN(0x81eeb865, 0xd2fdca23), TOBN(0x5a15ee08, 0xcc8ef895),
TOBN(0x768fa10a, 0x01905614), TOBN(0xeff5b8ef, 0x880ee19b),
TOBN(0xf0c0cabb, 0xcb1c8a0e), TOBN(0x2e1ee9cd, 0xb8c838f9),
TOBN(0x0587d8b8, 0x8a4a14c0), TOBN(0xf6f27896, 0x2ff698e5),
TOBN(0xed38ef1c, 0x89ee6256), TOBN(0xf44ee1fe, 0x6b353b45),
TOBN(0x9115c0c7, 0x70e903b3), TOBN(0xc78ec0a1, 0x818f31df),
TOBN(0x6c003324, 0xb7dccbc6), TOBN(0xd96dd1f3, 0x163bbc25),
TOBN(0x33aa82dd, 0x5cedd805), TOBN(0x123aae4f, 0x7f7eb2f1),
TOBN(0x1723fcf5, 0xa26262cd), TOBN(0x1f7f4d5d, 0x0060ebd5),
TOBN(0xf19c5c01, 0xb2eaa3af), TOBN(0x2ccb9b14, 0x9790accf),
TOBN(0x1f9c1cad, 0x52324aa6), TOBN(0x63200526, 0x7247df54),
TOBN(0x5732fe42, 0xbac96f82), TOBN(0x52fe771f, 0x01a1c384),
TOBN(0x546ca13d, 0xb1001684), TOBN(0xb56b4eee, 0xa1709f75),
TOBN(0x266545a9, 0xd5db8672), TOBN(0xed971c90, 0x1e8f3cfb),
TOBN(0x4e7d8691, 0xe3a07b29), TOBN(0x7570d9ec, 0xe4b696b9),
TOBN(0xdc5fa067, 0x7bc7e9ae), TOBN(0x68b44caf, 0xc82c4844),
TOBN(0x519d34b3, 0xbf44da80), TOBN(0x283834f9, 0x5ab32e66),
TOBN(0x6e608797, 0x6278a000), TOBN(0x1e62960e, 0x627312f6),
TOBN(0x9b87b27b, 0xe6901c55), TOBN(0x80e78538, 0x24fdbc1f),
TOBN(0xbbbc0951, 0x2facc27d), TOBN(0x06394239, 0xac143b5a),
TOBN(0x35bb4a40, 0x376c1944), TOBN(0x7cb62694, 0x63da1511),
TOBN(0xafd29161, 0xb7148a3b), TOBN(0xa6f9d9ed, 0x4e2ea2ee),
TOBN(0x15dc2ca2, 0x880dd212), TOBN(0x903c3813, 0xa61139a9),
TOBN(0x2aa7b46d, 0x6c0f8785), TOBN(0x36ce2871, 0x901c60ff),
TOBN(0xc683b028, 0xe10d9c12), TOBN(0x7573baa2, 0x032f33d3),
TOBN(0x87a9b1f6, 0x67a31b58), TOBN(0xfd3ed11a, 0xf4ffae12),
TOBN(0x83dcaa9a, 0x0cb2748e), TOBN(0x8239f018, 0x5d6fdf16),
TOBN(0xba67b49c, 0x72753941), TOBN(0x2beec455, 0xc321cb36),
TOBN(0x88015606, 0x3f8b84ce), TOBN(0x76417083, 0x8d38c86f),
TOBN(0x054f1ca7, 0x598953dd), TOBN(0xc939e110, 0x4e8e7429),
TOBN(0x9b1ac2b3, 0x5a914f2f), TOBN(0x39e35ed3, 0xe74b8f9c),
TOBN(0xd0debdb2, 0x781b2fb0), TOBN(0x1585638f, 0x2d997ba2),
TOBN(0x9c4b646e, 0x9e2fce99), TOBN(0x68a21081, 0x1e80857f),
TOBN(0x06d54e44, 0x3643b52a), TOBN(0xde8d6d63, 0x0d8eb843),
TOBN(0x70321563, 0x42146a0a), TOBN(0x8ba826f2, 0x5eaa3622),
TOBN(0x227a58bd, 0x86138787), TOBN(0x43b6c03c, 0x10281d37),
TOBN(0x6326afbb, 0xb54dde39), TOBN(0x744e5e8a, 0xdb6f2d5f),
TOBN(0x48b2a99a, 0xcff158e1), TOBN(0xa93c8fa0, 0xef87918f),
TOBN(0x2182f956, 0xde058c5c), TOBN(0x216235d2, 0x936f9e7a),
TOBN(0xace0c0db, 0xd2e31e67), TOBN(0xc96449bf, 0xf23ac3e7),
TOBN(0x7e9a2874, 0x170693bd), TOBN(0xa28e14fd, 0xa45e6335),
TOBN(0x5757f6b3, 0x56427344), TOBN(0x822e4556, 0xacf8edf9),
TOBN(0x2b7a6ee2, 0xe6a285cd), TOBN(0x5866f211, 0xa9df3af0),
TOBN(0x40dde2dd, 0xf845b844), TOBN(0x986c3726, 0x110e5e49),
TOBN(0x73680c2a, 0xf7172277), TOBN(0x57b94f0f, 0x0cccb244),
TOBN(0xbdff7267, 0x2d438ca7), TOBN(0xbad1ce11, 0xcf4663fd),
TOBN(0x9813ed9d, 0xd8f71cae), TOBN(0xf43272a6, 0x961fdaa6),
TOBN(0xbeff0119, 0xbd6d1637), TOBN(0xfebc4f91, 0x30361978),
TOBN(0x02b37a95, 0x2f41deff), TOBN(0x0e44a59a, 0xe63b89b7),
TOBN(0x673257dc, 0x143ff951), TOBN(0x19c02205, 0xd752baf4),
TOBN(0x46c23069, 0xc4b7d692), TOBN(0x2e6392c3, 0xfd1502ac),
TOBN(0x6057b1a2, 0x1b220846), TOBN(0xe51ff946, 0x0c1b5b63),}
,
{TOBN(0x6e85cb51, 0x566c5c43), TOBN(0xcff9c919, 0x3597f046),
TOBN(0x9354e90c, 0x4994d94a), TOBN(0xe0a39332, 0x2147927d),
TOBN(0x8427fac1, 0x0dc1eb2b), TOBN(0x88cfd8c2, 0x2ff319fa),
TOBN(0xe2d4e684, 0x01965274), TOBN(0xfa2e067d, 0x67aaa746),
TOBN(0xb6d92a7f, 0x3e5f9f11), TOBN(0x9afe153a, 0xd6cb3b8e),
TOBN(0x4d1a6dd7, 0xddf800bd), TOBN(0xf6c13cc0, 0xcaf17e19),
TOBN(0x15f6c58e, 0x325fc3ee), TOBN(0x71095400, 0xa31dc3b2),
TOBN(0x168e7c07, 0xafa3d3e7), TOBN(0x3f8417a1, 0x94c7ae2d),
TOBN(0xec234772, 0x813b230d), TOBN(0x634d0f5f, 0x17344427),
TOBN(0x11548ab1, 0xd77fc56a), TOBN(0x7fab1750, 0xce06af77),
TOBN(0xb62c10a7, 0x4f7c4f83), TOBN(0xa7d2edc4, 0x220a67d9),
TOBN(0x1c404170, 0x921209a0), TOBN(0x0b9815a0, 0xface59f0),
TOBN(0x2842589b, 0x319540c3), TOBN(0x18490f59, 0xa283d6f8),
TOBN(0xa2731f84, 0xdaae9fcb), TOBN(0x3db6d960, 0xc3683ba0),
TOBN(0xc85c63bb, 0x14611069), TOBN(0xb19436af, 0x0788bf05),
TOBN(0x905459df, 0x347460d2), TOBN(0x73f6e094, 0xe11a7db1),
TOBN(0xdc7f938e, 0xb6357f37), TOBN(0xc5d00f79, 0x2bd8aa62),
TOBN(0xc878dcb9, 0x2ca979fc), TOBN(0x37e83ed9, 0xeb023a99),
TOBN(0x6b23e273, 0x1560bf3d), TOBN(0x1086e459, 0x1d0fae61),
TOBN(0x78248316, 0x9a9414bd), TOBN(0x1b956bc0, 0xf0ea9ea1),
TOBN(0x7b85bb91, 0xc31b9c38), TOBN(0x0c5aa90b, 0x48ef57b5),
TOBN(0xdedeb169, 0xaf3bab6f), TOBN(0xe610ad73, 0x2d373685),
TOBN(0xf13870df, 0x02ba8e15), TOBN(0x0337edb6, 0x8ca7f771),
TOBN(0xe4acf747, 0xb62c036c), TOBN(0xd921d576, 0xb6b94e81),
TOBN(0xdbc86439, 0x2c422f7a), TOBN(0xfb635362, 0xed348898),
TOBN(0x83084668, 0xc45bfcd1), TOBN(0xc357c9e3, 0x2b315e11),
TOBN(0xb173b540, 0x5b2e5b8c), TOBN(0x7e946931, 0xe102b9a4),
TOBN(0x17c890eb, 0x7b0fb199), TOBN(0xec225a83, 0xd61b662b),
TOBN(0xf306a3c8, 0xee3c76cb), TOBN(0x3cf11623, 0xd32a1f6e),
TOBN(0xe6d5ab64, 0x6863e956), TOBN(0x3b8a4cbe, 0x5c005c26),
TOBN(0xdcd529a5, 0x9ce6bb27), TOBN(0xc4afaa52, 0x04d4b16f),
TOBN(0xb0624a26, 0x7923798d), TOBN(0x85e56df6, 0x6b307fab),
TOBN(0x0281893c, 0x2bf29698), TOBN(0x91fc19a4, 0xd7ce7603),
TOBN(0x75a5dca3, 0xad9a558f), TOBN(0x40ceb3fa, 0x4d50bf77),
TOBN(0x1baf6060, 0xbc9ba369), TOBN(0x927e1037, 0x597888c2),
TOBN(0xd936bf19, 0x86a34c07), TOBN(0xd4cf10c1, 0xc34ae980),
TOBN(0x3a3e5334, 0x859dd614), TOBN(0x9c475b5b, 0x18d0c8ee),
TOBN(0x63080d1f, 0x07cd51d5), TOBN(0xc9c0d0a6, 0xb88b4326),
TOBN(0x1ac98691, 0xc234296f), TOBN(0x2a0a83a4, 0x94887fb6),
TOBN(0x56511427, 0x0cea9cf2), TOBN(0x5230a6e8, 0xa24802f5),
TOBN(0xf7a2bf0f, 0x72e3d5c1), TOBN(0x37717446, 0x4f21439e),
TOBN(0xfedcbf25, 0x9ce30334), TOBN(0xe0030a78, 0x7ce202f9),
TOBN(0x6f2d9ebf, 0x1202e9ca), TOBN(0xe79dde6c, 0x75e6e591),
TOBN(0xf52072af, 0xf1dac4f8), TOBN(0x6c8d087e, 0xbb9b404d),
TOBN(0xad0fc73d, 0xbce913af), TOBN(0x909e587b, 0x458a07cb),
TOBN(0x1300da84, 0xd4f00c8a), TOBN(0x425cd048, 0xb54466ac),
TOBN(0xb59cb9be, 0x90e9d8bf), TOBN(0x991616db, 0x3e431b0e),
TOBN(0xd3aa117a, 0x531aecff), TOBN(0x91af92d3, 0x59f4dc3b),
TOBN(0x9b1ec292, 0xe93fda29), TOBN(0x76bb6c17, 0xe97d91bc),
TOBN(0x7509d95f, 0xaface1e6), TOBN(0x3653fe47, 0xbe855ae3),
TOBN(0x73180b28, 0x0f680e75), TOBN(0x75eefd1b, 0xeeb6c26c),
TOBN(0xa4cdf29f, 0xb66d4236), TOBN(0x2d70a997, 0x6b5821d8),
TOBN(0x7a3ee207, 0x20445c36), TOBN(0x71d1ac82, 0x59877174),
TOBN(0x0fc539f7, 0x949f73e9), TOBN(0xd05cf3d7, 0x982e3081),
TOBN(0x8758e20b, 0x7b1c7129), TOBN(0xffadcc20, 0x569e61f2),
TOBN(0xb05d3a2f, 0x59544c2d), TOBN(0xbe16f5c1, 0x9fff5e53),
TOBN(0x73cf65b8, 0xaad58135), TOBN(0x622c2119, 0x037aa5be),
TOBN(0x79373b3f, 0x646fd6a0), TOBN(0x0e029db5, 0x0d3978cf),
TOBN(0x8bdfc437, 0x94fba037), TOBN(0xaefbd687, 0x620797a6),
TOBN(0x3fa5382b, 0xbd30d38e), TOBN(0x7627cfbf, 0x585d7464),
TOBN(0xb2330fef, 0x4e4ca463), TOBN(0xbcef7287, 0x3566cc63),
TOBN(0xd161d2ca, 0xcf780900), TOBN(0x135dc539, 0x5b54827d),
TOBN(0x638f052e, 0x27bf1bc6), TOBN(0x10a224f0, 0x07dfa06c),
TOBN(0xe973586d, 0x6d3321da), TOBN(0x8b0c5738, 0x26152c8f),
TOBN(0x07ef4f2a, 0x34606074), TOBN(0x80fe7fe8, 0xa0f7047a),
TOBN(0x3d1a8152, 0xe1a0e306), TOBN(0x32cf43d8, 0x88da5222),
TOBN(0xbf89a95f, 0x5f02ffe6), TOBN(0x3d9eb9a4, 0x806ad3ea),
TOBN(0x012c17bb, 0x79c8e55e), TOBN(0xfdcd1a74, 0x99c81dac),
TOBN(0x7043178b, 0xb9556098), TOBN(0x4090a1df, 0x801c3886),
TOBN(0x759800ff, 0x9b67b912), TOBN(0x3e5c0304, 0x232620c8),
TOBN(0x4b9d3c4b, 0x70dceeca), TOBN(0xbb2d3c15, 0x181f648e),
TOBN(0xf981d837, 0x6e33345c), TOBN(0xb626289b, 0x0cf2297a),
TOBN(0x766ac659, 0x8baebdcf), TOBN(0x1a28ae09, 0x75df01e5),
TOBN(0xb71283da, 0x375876d8), TOBN(0x4865a96d, 0x607b9800),
TOBN(0x25dd1bcd, 0x237936b2), TOBN(0x332f4f4b, 0x60417494),
TOBN(0xd0923d68, 0x370a2147), TOBN(0x497f5dfb, 0xdc842203),
TOBN(0x9dc74cbd, 0x32be5e0f), TOBN(0x7475bcb7, 0x17a01375),
TOBN(0x438477c9, 0x50d872b1), TOBN(0xcec67879, 0xffe1d63d),
TOBN(0x9b006014, 0xd8578c70), TOBN(0xc9ad99a8, 0x78bb6b8b),
TOBN(0x6799008e, 0x11fb3806), TOBN(0xcfe81435, 0xcd44cab3),
TOBN(0xa2ee1582, 0x2f4fb344), TOBN(0xb8823450, 0x483fa6eb),
TOBN(0x622d323d, 0x652c7749), TOBN(0xd8474a98, 0xbeb0a15b),
TOBN(0xe43c154d, 0x5d1c00d0), TOBN(0x7fd581d9, 0x0e3e7aac),
TOBN(0x2b44c619, 0x2525ddf8), TOBN(0x67a033eb, 0xb8ae9739),
TOBN(0x113ffec1, 0x9ef2d2e4), TOBN(0x1bf6767e, 0xd5a0ea7f),
TOBN(0x57fff75e, 0x03714c0a), TOBN(0xa23c422e, 0x0a23e9ee),
TOBN(0xdd5f6b2d, 0x540f83af), TOBN(0xc2c2c27e, 0x55ea46a7),
TOBN(0xeb6b4246, 0x672a1208), TOBN(0xd13599f7, 0xae634f7a),
TOBN(0xcf914b5c, 0xd7b32c6e), TOBN(0x61a5a640, 0xeaf61814),
TOBN(0x8dc3df8b, 0x208a1bbb), TOBN(0xef627fd6, 0xb6d79aa5),
TOBN(0x44232ffc, 0xc4c86bc8), TOBN(0xe6f9231b, 0x061539fe),
TOBN(0x1d04f25a, 0x958b9533), TOBN(0x180cf934, 0x49e8c885),
TOBN(0x89689595, 0x9884aaf7), TOBN(0xb1959be3, 0x07b348a6),
TOBN(0x96250e57, 0x3c147c87), TOBN(0xae0efb3a, 0xdd0c61f8),
TOBN(0xed00745e, 0xca8c325e), TOBN(0x3c911696, 0xecff3f70),
TOBN(0x73acbc65, 0x319ad41d), TOBN(0x7b01a020, 0xf0b1c7ef),
TOBN(0xea32b293, 0x63a1483f), TOBN(0x89eabe71, 0x7a248f96),
TOBN(0x9c6231d3, 0x343157e5), TOBN(0x93a375e5, 0xdf3c546d),
TOBN(0xe76e9343, 0x6a2afe69), TOBN(0xc4f89100, 0xe166c88e),
TOBN(0x248efd0d, 0x4f872093), TOBN(0xae0eb3ea, 0x8fe0ea61),
TOBN(0xaf89790d, 0x9d79046e), TOBN(0x4d650f2d, 0x6cee0976),
TOBN(0xa3935d9a, 0x43071eca), TOBN(0x66fcd2c9, 0x283b0bfe),
TOBN(0x0e665eb5, 0x696605f1), TOBN(0xe77e5d07, 0xa54cd38d),
TOBN(0x90ee050a, 0x43d950cf), TOBN(0x86ddebda, 0xd32e69b5),
TOBN(0x6ad94a3d, 0xfddf7415), TOBN(0xf7fa1309, 0x3f6e8d5a),
TOBN(0xc4831d1d, 0xe9957f75), TOBN(0x7de28501, 0xd5817447),
TOBN(0x6f1d7078, 0x9e2aeb6b), TOBN(0xba2b9ff4, 0xf67a53c2),
TOBN(0x36963767, 0xdf9defc3), TOBN(0x479deed3, 0x0d38022c),
TOBN(0xd2edb89b, 0x3a8631e8), TOBN(0x8de855de, 0x7a213746),
TOBN(0xb2056cb7, 0xb00c5f11), TOBN(0xdeaefbd0, 0x2c9b85e4),
TOBN(0x03f39a8d, 0xd150892d), TOBN(0x37b84686, 0x218b7985),
TOBN(0x36296dd8, 0xb7375f1a), TOBN(0x472cd4b1, 0xb78e898e),
TOBN(0x15dff651, 0xe9f05de9), TOBN(0xd4045069, 0x2ce98ba9),
TOBN(0x8466a7ae, 0x9b38024c), TOBN(0xb910e700, 0xe5a6b5ef),
TOBN(0xae1c56ea, 0xb3aa8f0d), TOBN(0xbab2a507, 0x7eee74a6),
TOBN(0x0dca11e2, 0x4b4c4620), TOBN(0xfd896e2e, 0x4c47d1f4),
TOBN(0xeb45ae53, 0x308fbd93), TOBN(0x46cd5a2e, 0x02c36fda),
TOBN(0x6a3d4e90, 0xbaa48385), TOBN(0xdd55e62e, 0x9dbe9960),
TOBN(0xa1406aa0, 0x2a81ede7), TOBN(0x6860dd14, 0xf9274ea7),
TOBN(0xcfdcb0c2, 0x80414f86), TOBN(0xff410b10, 0x22f94327),
TOBN(0x5a33cc38, 0x49ad467b), TOBN(0xefb48b6c, 0x0a7335f1),
TOBN(0x14fb54a4, 0xb153a360), TOBN(0x604aa9d2, 0xb52469cc),
TOBN(0x5e9dc486, 0x754e48e9), TOBN(0x693cb455, 0x37471e8e),
TOBN(0xfb2fd7cd, 0x8d3b37b6), TOBN(0x63345e16, 0xcf09ff07),
TOBN(0x9910ba6b, 0x23a5d896), TOBN(0x1fe19e35, 0x7fe4364e),
TOBN(0x6e1da8c3, 0x9a33c677), TOBN(0x15b4488b, 0x29fd9fd0),
TOBN(0x1f439254, 0x1a1f22bf), TOBN(0x920a8a70, 0xab8163e8),
TOBN(0x3fd1b249, 0x07e5658e), TOBN(0xf2c4f79c, 0xb6ec839b),
TOBN(0x1abbc3d0, 0x4aa38d1b), TOBN(0x3b0db35c, 0xb5d9510e),
TOBN(0x1754ac78, 0x3e60dec0), TOBN(0x53272fd7, 0xea099b33),
TOBN(0x5fb0494f, 0x07a8e107), TOBN(0x4a89e137, 0x6a8191fa),
TOBN(0xa113b7f6, 0x3c4ad544), TOBN(0x88a2e909, 0x6cb9897b),
TOBN(0x17d55de3, 0xb44a3f84), TOBN(0xacb2f344, 0x17c6c690),
TOBN(0x32088168, 0x10232390), TOBN(0xf2e8a61f, 0x6c733bf7),
TOBN(0xa774aab6, 0x9c2d7652), TOBN(0xfb5307e3, 0xed95c5bc),
TOBN(0xa05c73c2, 0x4981f110), TOBN(0x1baae31c, 0xa39458c9),
TOBN(0x1def185b, 0xcbea62e7), TOBN(0xe8ac9eae, 0xeaf63059),
TOBN(0x098a8cfd, 0x9921851c), TOBN(0xd959c3f1, 0x3abe2f5b),
TOBN(0xa4f19525, 0x20e40ae5), TOBN(0x320789e3, 0x07a24aa1),
TOBN(0x259e6927, 0x7392b2bc), TOBN(0x58f6c667, 0x1918668b),
TOBN(0xce1db2bb, 0xc55d2d8b), TOBN(0x41d58bb7, 0xf4f6ca56),
TOBN(0x7650b680, 0x8f877614), TOBN(0x905e16ba, 0xf4c349ed),
TOBN(0xed415140, 0xf661acac), TOBN(0x3b8784f0, 0xcb2270af),
TOBN(0x3bc280ac, 0x8a402cba), TOBN(0xd53f7146, 0x0937921a),
TOBN(0xc03c8ee5, 0xe5681e83), TOBN(0x62126105, 0xf6ac9e4a),
TOBN(0x9503a53f, 0x936b1a38), TOBN(0x3d45e2d4, 0x782fecbd),
TOBN(0x69a5c439, 0x76e8ae98), TOBN(0xb53b2eeb, 0xbfb4b00e),
TOBN(0xf1674712, 0x72386c89), TOBN(0x30ca34a2, 0x4268bce4),
TOBN(0x7f1ed86c, 0x78341730), TOBN(0x8ef5beb8, 0xb525e248),
TOBN(0xbbc489fd, 0xb74fbf38), TOBN(0x38a92a0e, 0x91a0b382),
TOBN(0x7a77ba3f, 0x22433ccf), TOBN(0xde8362d6, 0xa29f05a9),
TOBN(0x7f6a30ea, 0x61189afc), TOBN(0x693b5505, 0x59ef114f),
TOBN(0x50266bc0, 0xcd1797a1), TOBN(0xea17b47e, 0xf4b7af2d),
TOBN(0xd6c4025c, 0x3df9483e), TOBN(0x8cbb9d9f, 0xa37b18c9),
TOBN(0x91cbfd9c, 0x4d8424cf), TOBN(0xdb7048f1, 0xab1c3506),
TOBN(0x9eaf641f, 0x028206a3), TOBN(0xf986f3f9, 0x25bdf6ce),
TOBN(0x262143b5, 0x224c08dc), TOBN(0x2bbb09b4, 0x81b50c91),
TOBN(0xc16ed709, 0xaca8c84f), TOBN(0xa6210d9d, 0xb2850ca8),
TOBN(0x6d8df67a, 0x09cb54d6), TOBN(0x91eef6e0, 0x500919a4),
TOBN(0x90f61381, 0x0f132857), TOBN(0x9acede47, 0xf8d5028b),
TOBN(0x844d1b71, 0x90b771c3), TOBN(0x563b71e4, 0xba6426be),
TOBN(0x2efa2e83, 0xbdb802ff), TOBN(0x3410cbab, 0xab5b4a41),
TOBN(0x555b2d26, 0x30da84dd), TOBN(0xd0711ae9, 0xee1cc29a),
TOBN(0xcf3e8c60, 0x2f547792), TOBN(0x03d7d5de, 0xdc678b35),
TOBN(0x071a2fa8, 0xced806b8), TOBN(0x222e6134, 0x697f1478),
TOBN(0xdc16fd5d, 0xabfcdbbf), TOBN(0x44912ebf, 0x121b53b8),
TOBN(0xac943674, 0x2496c27c), TOBN(0x8ea3176c, 0x1ffc26b0),
TOBN(0xb6e224ac, 0x13debf2c), TOBN(0x524cc235, 0xf372a832),
TOBN(0xd706e1d8, 0x9f6f1b18), TOBN(0x2552f005, 0x44cce35b),
TOBN(0x8c8326c2, 0xa88e31fc), TOBN(0xb5468b2c, 0xf9552047),
TOBN(0xce683e88, 0x3ff90f2b), TOBN(0x77947bdf, 0x2f0a5423),
TOBN(0xd0a1b28b, 0xed56e328), TOBN(0xaee35253, 0xc20134ac),
TOBN(0x7e98367d, 0x3567962f), TOBN(0x379ed61f, 0x8188bffb),
TOBN(0x73bba348, 0xfaf130a1), TOBN(0x6c1f75e1, 0x904ed734),
TOBN(0x18956642, 0x3b4a79fc), TOBN(0xf20bc83d, 0x54ef4493),
TOBN(0x836d425d, 0x9111eca1), TOBN(0xe5b5c318, 0x009a8dcf),
TOBN(0x3360b25d, 0x13221bc5), TOBN(0x707baad2, 0x6b3eeaf7),
TOBN(0xd7279ed8, 0x743a95a1), TOBN(0x7450a875, 0x969e809f),
TOBN(0x32b6bd53, 0xe5d0338f), TOBN(0x1e77f7af, 0x2b883bbc),
TOBN(0x90da12cc, 0x1063ecd0), TOBN(0xe2697b58, 0xc315be47),
TOBN(0x2771a5bd, 0xda85d534), TOBN(0x53e78c1f, 0xff980eea),
TOBN(0xadf1cf84, 0x900385e7), TOBN(0x7d3b14f6, 0xc9387b62),
TOBN(0x170e74b0, 0xcb8f2bd2), TOBN(0x2d50b486, 0x827fa993),
TOBN(0xcdbe8c9a, 0xf6f32bab), TOBN(0x55e906b0, 0xc3b93ab8),
TOBN(0x747f22fc, 0x8fe280d1), TOBN(0xcd8e0de5, 0xb2e114ab),
TOBN(0x5ab7dbeb, 0xe10b68b0), TOBN(0x9dc63a9c, 0xa480d4b2),
TOBN(0x78d4bc3b, 0x4be1495f), TOBN(0x25eb3db8, 0x9359122d),
TOBN(0x3f8ac05b, 0x0809cbdc), TOBN(0xbf4187bb, 0xd37c702f),
TOBN(0x84cea069, 0x1416a6a5), TOBN(0x8f860c79, 0x43ef881c),
TOBN(0x41311f8a, 0x38038a5d), TOBN(0xe78c2ec0, 0xfc612067),
TOBN(0x494d2e81, 0x5ad73581), TOBN(0xb4cc9e00, 0x59604097),
TOBN(0xff558aec, 0xf3612cba), TOBN(0x35beef7a, 0x9e36c39e),
TOBN(0x1845c7cf, 0xdbcf41b9), TOBN(0x5703662a, 0xaea997c0),
TOBN(0x8b925afe, 0xe402f6d8), TOBN(0xd0a1b1ae, 0x4dd72162),
TOBN(0x9f47b375, 0x03c41c4b), TOBN(0xa023829b, 0x0391d042),
TOBN(0x5f5045c3, 0x503b8b0a), TOBN(0x123c2688, 0x98c010e5),
TOBN(0x324ec0cc, 0x36ba06ee), TOBN(0xface3115, 0x3dd2cc0c),
TOBN(0xb364f3be, 0xf333e91f), TOBN(0xef8aff73, 0x28e832b0),
TOBN(0x1e9bad04, 0x2d05841b), TOBN(0x42f0e3df, 0x356a21e2),
TOBN(0xa3270bcb, 0x4add627e), TOBN(0xb09a8158, 0xd322e711),
TOBN(0x86e326a1, 0x0fee104a), TOBN(0xad7788f8, 0x3703f65d),
TOBN(0x7e765430, 0x47bc4833), TOBN(0x6cee582b, 0x2b9b893a),
TOBN(0x9cd2a167, 0xe8f55a7b), TOBN(0xefbee3c6, 0xd9e4190d),
TOBN(0x33ee7185, 0xd40c2e9d), TOBN(0x844cc9c5, 0xa380b548),
TOBN(0x323f8ecd, 0x66926e04), TOBN(0x0001e38f, 0x8110c1ba),
TOBN(0x8dbcac12, 0xfc6a7f07), TOBN(0xd65e1d58, 0x0cec0827),
TOBN(0xd2cd4141, 0xbe76ca2d), TOBN(0x7895cf5c, 0xe892f33a),
TOBN(0x956d230d, 0x367139d2), TOBN(0xa91abd3e, 0xd012c4c1),
TOBN(0x34fa4883, 0x87eb36bf), TOBN(0xc5f07102, 0x914b8fb4),
TOBN(0x90f0e579, 0xadb9c95f), TOBN(0xfe6ea8cb, 0x28888195),
TOBN(0x7b9b5065, 0xedfa9284), TOBN(0x6c510bd2, 0x2b8c8d65),
TOBN(0xd7b8ebef, 0xcbe8aafd), TOBN(0xedb3af98, 0x96b1da07),
TOBN(0x28ff779d, 0x6295d426), TOBN(0x0c4f6ac7, 0x3fa3ad7b),
TOBN(0xec44d054, 0x8b8e2604), TOBN(0x9b32a66d, 0x8b0050e1),
TOBN(0x1f943366, 0xf0476ce2), TOBN(0x7554d953, 0xa602c7b4),
TOBN(0xbe35aca6, 0x524f2809), TOBN(0xb6881229, 0xfd4edbea),
TOBN(0xe8cd0c8f, 0x508efb63), TOBN(0x9eb5b5c8, 0x6abcefc7),
TOBN(0xf5621f5f, 0xb441ab4f), TOBN(0x79e6c046, 0xb76a2b22),
TOBN(0x74a4792c, 0xe37a1f69), TOBN(0xcbd252cb, 0x03542b60),
TOBN(0x785f65d5, 0xb3c20bd3), TOBN(0x8dea6143, 0x4fabc60c),
TOBN(0x45e21446, 0xde673629), TOBN(0x57f7aa1e, 0x703c2d21),
TOBN(0xa0e99b7f, 0x98c868c7), TOBN(0x4e42f66d, 0x8b641676),
TOBN(0x602884dc, 0x91077896), TOBN(0xa0d690cf, 0xc2c9885b),
TOBN(0xfeb4da33, 0x3b9a5187), TOBN(0x5f789598, 0x153c87ee),
TOBN(0x2192dd47, 0x52b16dba), TOBN(0xdeefc0e6, 0x3524c1b1),
TOBN(0x465ea76e, 0xe4383693), TOBN(0x79401711, 0x361b8d98),
TOBN(0xa5f9ace9, 0xf21a15cb), TOBN(0x73d26163, 0xefee9aeb),
TOBN(0xcca844b3, 0xe677016c), TOBN(0x6c122b07, 0x57eaee06),
TOBN(0xb782dce7, 0x15f09690), TOBN(0x508b9b12, 0x2dfc0fc9),
TOBN(0x9015ab4b, 0x65d89fc6), TOBN(0x5e79dab7, 0xd6d5bb0f),
TOBN(0x64f021f0, 0x6c775aa2), TOBN(0xdf09d8cc, 0x37c7eca1),
TOBN(0x9a761367, 0xef2fa506), TOBN(0xed4ca476, 0x5b81eec6),
TOBN(0x262ede36, 0x10bbb8b5), TOBN(0x0737ce83, 0x0641ada3),
TOBN(0x4c94288a, 0xe9831ccc), TOBN(0x487fc1ce, 0x8065e635),
TOBN(0xb13d7ab3, 0xb8bb3659), TOBN(0xdea5df3e, 0x855e4120),
TOBN(0xb9a18573, 0x85eb0244), TOBN(0x1a1b8ea3, 0xa7cfe0a3),
TOBN(0x3b837119, 0x67b0867c), TOBN(0x8d5e0d08, 0x9d364520),
TOBN(0x52dccc1e, 0xd930f0e3), TOBN(0xefbbcec7, 0xbf20bbaf),
TOBN(0x99cffcab, 0x0263ad10), TOBN(0xd8199e6d, 0xfcd18f8a),
TOBN(0x64e2773f, 0xe9f10617), TOBN(0x0079e8e1, 0x08704848),
TOBN(0x1169989f, 0x8a342283), TOBN(0x8097799c, 0xa83012e6),
TOBN(0xece966cb, 0x8a6a9001), TOBN(0x93b3afef, 0x072ac7fc),
TOBN(0xe6893a2a, 0x2db3d5ba), TOBN(0x263dc462, 0x89bf4fdc),
TOBN(0x8852dfc9, 0xe0396673), TOBN(0x7ac70895, 0x3af362b6),
TOBN(0xbb9cce4d, 0x5c2f342b), TOBN(0xbf80907a, 0xb52d7aae),
TOBN(0x97f3d3cd, 0x2161bcd0), TOBN(0xb25b0834, 0x0962744d),
TOBN(0xc5b18ea5, 0x6c3a1dda), TOBN(0xfe4ec7eb, 0x06c92317),
TOBN(0xb787b890, 0xad1c4afe), TOBN(0xdccd9a92, 0x0ede801a),
TOBN(0x9ac6ddda, 0xdb58da1f), TOBN(0x22bbc12f, 0xb8cae6ee),
TOBN(0xc6f8bced, 0x815c4a43), TOBN(0x8105a92c, 0xf96480c7),
TOBN(0x0dc3dbf3, 0x7a859d51), TOBN(0xe3ec7ce6, 0x3041196b),
TOBN(0xd9f64b25, 0x0d1067c9), TOBN(0xf2321321, 0x3d1f8dd8),
TOBN(0x8b5c619c, 0x76497ee8), TOBN(0x5d2b0ac6, 0xc717370e),
TOBN(0x98204cb6, 0x4fcf68e1), TOBN(0x0bdec211, 0x62bc6792),
TOBN(0x6973ccef, 0xa63b1011), TOBN(0xf9e3fa97, 0xe0de1ac5),
TOBN(0x5efb693e, 0x3d0e0c8b), TOBN(0x037248e9, 0xd2d4fcb4),}
,
{TOBN(0x80802dc9, 0x1ec34f9e), TOBN(0xd8772d35, 0x33810603),
TOBN(0x3f06d66c, 0x530cb4f3), TOBN(0x7be5ed0d, 0xc475c129),
TOBN(0xcb9e3c19, 0x31e82b10), TOBN(0xc63d2857, 0xc9ff6b4c),
TOBN(0xb92118c6, 0x92a1b45e), TOBN(0x0aec4414, 0x7285bbca),
TOBN(0xfc189ae7, 0x1e29a3ef), TOBN(0xcbe906f0, 0x4c93302e),
TOBN(0xd0107914, 0xceaae10e), TOBN(0xb7a23f34, 0xb68e19f8),
TOBN(0xe9d875c2, 0xefd2119d), TOBN(0x03198c6e, 0xfcadc9c8),
TOBN(0x65591bf6, 0x4da17113), TOBN(0x3cf0bbf8, 0x3d443038),
TOBN(0xae485bb7, 0x2b724759), TOBN(0x945353e1, 0xb2d4c63a),
TOBN(0x82159d07, 0xde7d6f2c), TOBN(0x389caef3, 0x4ec5b109),
TOBN(0x4a8ebb53, 0xdb65ef14), TOBN(0x2dc2cb7e, 0xdd99de43),
TOBN(0x816fa3ed, 0x83f2405f), TOBN(0x73429bb9, 0xc14208a3),
TOBN(0xb618d590, 0xb01e6e27), TOBN(0x047e2ccd, 0xe180b2dc),
TOBN(0xd1b299b5, 0x04aea4a9), TOBN(0x412c9e1e, 0x9fa403a4),
TOBN(0x88d28a36, 0x79407552), TOBN(0x49c50136, 0xf332b8e3),
TOBN(0x3a1b6fcc, 0xe668de19), TOBN(0x178851bc, 0x75122b97),
TOBN(0xb1e13752, 0xfb85fa4c), TOBN(0xd61257ce, 0x383c8ce9),
TOBN(0xd43da670, 0xd2f74dae), TOBN(0xa35aa23f, 0xbf846bbb),
TOBN(0x5e74235d, 0x4421fc83), TOBN(0xf6df8ee0, 0xc363473b),
TOBN(0x34d7f52a, 0x3c4aa158), TOBN(0x50d05aab, 0x9bc6d22e),
TOBN(0x8c56e735, 0xa64785f4), TOBN(0xbc56637b, 0x5f29cd07),
TOBN(0x53b2bb80, 0x3ee35067), TOBN(0x50235a0f, 0xdc919270),
TOBN(0x191ab6d8, 0xf2c4aa65), TOBN(0xc3475831, 0x8396023b),
TOBN(0x80400ba5, 0xf0f805ba), TOBN(0x8881065b, 0x5ec0f80f),
TOBN(0xc370e522, 0xcc1b5e83), TOBN(0xde2d4ad1, 0x860b8bfb),
TOBN(0xad364df0, 0x67b256df), TOBN(0x8f12502e, 0xe0138997),
TOBN(0x503fa0dc, 0x7783920a), TOBN(0xe80014ad, 0xc0bc866a),
TOBN(0x3f89b744, 0xd3064ba6), TOBN(0x03511dcd, 0xcba5dba5),
TOBN(0x197dd46d, 0x95a7b1a2), TOBN(0x9c4e7ad6, 0x3c6341fb),
TOBN(0x426eca29, 0x484c2ece), TOBN(0x9211e489, 0xde7f4f8a),
TOBN(0x14997f6e, 0xc78ef1f4), TOBN(0x2b2c0910, 0x06574586),
TOBN(0x17286a6e, 0x1c3eede8), TOBN(0x25f92e47, 0x0f60e018),
TOBN(0x805c5646, 0x31890a36), TOBN(0x703ef600, 0x57feea5b),
TOBN(0x389f747c, 0xaf3c3030), TOBN(0xe0e5daeb, 0x54dd3739),
TOBN(0xfe24a4c3, 0xc9c9f155), TOBN(0x7e4bf176, 0xb5393962),
TOBN(0x37183de2, 0xaf20bf29), TOBN(0x4a1bd7b5, 0xf95a8c3b),
TOBN(0xa83b9699, 0x46191d3d), TOBN(0x281fc8dd, 0x7b87f257),
TOBN(0xb18e2c13, 0x54107588), TOBN(0x6372def7, 0x9b2bafe8),
TOBN(0xdaf4bb48, 0x0d8972ca), TOBN(0x3f2dd4b7, 0x56167a3f),
TOBN(0x1eace32d, 0x84310cf4), TOBN(0xe3bcefaf, 0xe42700aa),
TOBN(0x5fe5691e, 0xd785e73d), TOBN(0xa5db5ab6, 0x2ea60467),
TOBN(0x02e23d41, 0xdfc6514a), TOBN(0x35e8048e, 0xe03c3665),
TOBN(0x3f8b118f, 0x1adaa0f8), TOBN(0x28ec3b45, 0x84ce1a5a),
TOBN(0xe8cacc6e, 0x2c6646b8), TOBN(0x1343d185, 0xdbd0e40f),
TOBN(0xe5d7f844, 0xcaaa358c), TOBN(0x1a1db7e4, 0x9924182a),
TOBN(0xd64cd42d, 0x9c875d9a), TOBN(0xb37b515f, 0x042eeec8),
TOBN(0x4d4dd409, 0x7b165fbe), TOBN(0xfc322ed9, 0xe206eff3),
TOBN(0x7dee4102, 0x59b7e17e), TOBN(0x55a481c0, 0x8236ca00),
TOBN(0x8c885312, 0xc23fc975), TOBN(0x15715806, 0x05d6297b),
TOBN(0xa078868e, 0xf78edd39), TOBN(0x956b31e0, 0x03c45e52),
TOBN(0x470275d5, 0xff7b33a6), TOBN(0xc8d5dc3a, 0x0c7e673f),
TOBN(0x419227b4, 0x7e2f2598), TOBN(0x8b37b634, 0x4c14a975),
TOBN(0xd0667ed6, 0x8b11888c), TOBN(0x5e0e8c3e, 0x803e25dc),
TOBN(0x34e5d0dc, 0xb987a24a), TOBN(0x9f40ac3b, 0xae920323),
TOBN(0x5463de95, 0x34e0f63a), TOBN(0xa128bf92, 0x6b6328f9),
TOBN(0x491ccd7c, 0xda64f1b7), TOBN(0x7ef1ec27, 0xc47bde35),
TOBN(0xa857240f, 0xa36a2737), TOBN(0x35dc1366, 0x63621bc1),
TOBN(0x7a3a6453, 0xd4fb6897), TOBN(0x80f1a439, 0xc929319d),
TOBN(0xfc18274b, 0xf8cb0ba0), TOBN(0xb0b53766, 0x8078c5eb),
TOBN(0xfb0d4924, 0x1e01d0ef), TOBN(0x50d7c67d, 0x372ab09c),
TOBN(0xb4e370af, 0x3aeac968), TOBN(0xe4f7fee9, 0xc4b63266),
TOBN(0xb4acd4c2, 0xe3ac5664), TOBN(0xf8910bd2, 0xceb38cbf),
TOBN(0x1c3ae50c, 0xc9c0726e), TOBN(0x15309569, 0xd97b40bf),
TOBN(0x70884b7f, 0xfd5a5a1b), TOBN(0x3890896a, 0xef8314cd),
TOBN(0x58e1515c, 0xa5618c93), TOBN(0xe665432b, 0x77d942d1),
TOBN(0xb32181bf, 0xb6f767a8), TOBN(0x753794e8, 0x3a604110),
TOBN(0x09afeb7c, 0xe8c0dbcc), TOBN(0x31e02613, 0x598673a3),
TOBN(0x5d98e557, 0x7d46db00), TOBN(0xfc21fb8c, 0x9d985b28),
TOBN(0xc9040116, 0xb0843e0b), TOBN(0x53b1b3a8, 0x69b04531),
TOBN(0xdd1649f0, 0x85d7d830), TOBN(0xbb3bcc87, 0xcb7427e8),
TOBN(0x77261100, 0xc93dce83), TOBN(0x7e79da61, 0xa1922a2a),
TOBN(0x587a2b02, 0xf3149ce8), TOBN(0x147e1384, 0xde92ec83),
TOBN(0x484c83d3, 0xaf077f30), TOBN(0xea78f844, 0x0658b53a),
TOBN(0x912076c2, 0x027aec53), TOBN(0xf34714e3, 0x93c8177d),
TOBN(0x37ef5d15, 0xc2376c84), TOBN(0x8315b659, 0x3d1aa783),
TOBN(0x3a75c484, 0xef852a90), TOBN(0x0ba0c58a, 0x16086bd4),
TOBN(0x29688d7a, 0x529a6d48), TOBN(0x9c7f250d, 0xc2f19203),
TOBN(0x123042fb, 0x682e2df9), TOBN(0x2b7587e7, 0xad8121bc),
TOBN(0x30fc0233, 0xe0182a65), TOBN(0xb82ecf87, 0xe3e1128a),
TOBN(0x71682861, 0x93fb098f), TOBN(0x043e21ae, 0x85e9e6a7),
TOBN(0xab5b49d6, 0x66c834ea), TOBN(0x3be43e18, 0x47414287),
TOBN(0xf40fb859, 0x219a2a47), TOBN(0x0e6559e9, 0xcc58df3c),
TOBN(0xfe1dfe8e, 0x0c6615b4), TOBN(0x14abc8fd, 0x56459d70),
TOBN(0x7be0fa8e, 0x05de0386), TOBN(0x8e63ef68, 0xe9035c7c),
TOBN(0x116401b4, 0x53b31e91), TOBN(0x0cba7ad4, 0x4436b4d8),
TOBN(0x9151f9a0, 0x107afd66), TOBN(0xafaca8d0, 0x1f0ee4c4),
TOBN(0x75fe5c1d, 0x9ee9761c), TOBN(0x3497a16b, 0xf0c0588f),
TOBN(0x3ee2bebd, 0x0304804c), TOBN(0xa8fb9a60, 0xc2c990b9),
TOBN(0xd14d32fe, 0x39251114), TOBN(0x36bf25bc, 0xcac73366),
TOBN(0xc9562c66, 0xdba7495c), TOBN(0x324d301b, 0x46ad348b),
TOBN(0x9f46620c, 0xd670407e), TOBN(0x0ea8d4f1, 0xe3733a01),
TOBN(0xd396d532, 0xb0c324e0), TOBN(0x5b211a0e, 0x03c317cd),
TOBN(0x090d7d20, 0x5ffe7b37), TOBN(0x3b7f3efb, 0x1747d2da),
TOBN(0xa2cb525f, 0xb54fc519), TOBN(0x6e220932, 0xf66a971e),
TOBN(0xddc160df, 0xb486d440), TOBN(0x7fcfec46, 0x3fe13465),
TOBN(0x83da7e4e, 0x76e4c151), TOBN(0xd6fa48a1, 0xd8d302b5),
TOBN(0xc6304f26, 0x5872cd88), TOBN(0x806c1d3c, 0x278b90a1),
TOBN(0x3553e725, 0xcaf0bc1c), TOBN(0xff59e603, 0xbb9d8d5c),
TOBN(0xa4550f32, 0x7a0b85dd), TOBN(0xdec5720a, 0x93ecc217),
TOBN(0x0b88b741, 0x69d62213), TOBN(0x7212f245, 0x5b365955),
TOBN(0x20764111, 0xb5cae787), TOBN(0x13cb7f58, 0x1dfd3124),
TOBN(0x2dca77da, 0x1175aefb), TOBN(0xeb75466b, 0xffaae775),
TOBN(0x74d76f3b, 0xdb6cff32), TOBN(0x7440f37a, 0x61fcda9a),
TOBN(0x1bb3ac92, 0xb525028b), TOBN(0x20fbf8f7, 0xa1975f29),
TOBN(0x982692e1, 0xdf83097f), TOBN(0x28738f6c, 0x554b0800),
TOBN(0xdc703717, 0xa2ce2f2f), TOBN(0x7913b93c, 0x40814194),
TOBN(0x04924593, 0x1fe89636), TOBN(0x7b98443f, 0xf78834a6),
TOBN(0x11c6ab01, 0x5114a5a1), TOBN(0x60deb383, 0xffba5f4c),
TOBN(0x4caa54c6, 0x01a982e6), TOBN(0x1dd35e11, 0x3491cd26),
TOBN(0x973c315f, 0x7cbd6b05), TOBN(0xcab00775, 0x52494724),
TOBN(0x04659b1f, 0x6565e15a), TOBN(0xbf30f529, 0x8c8fb026),
TOBN(0xfc21641b, 0xa8a0de37), TOBN(0xe9c7a366, 0xfa5e5114),
TOBN(0xdb849ca5, 0x52f03ad8), TOBN(0xc7e8dbe9, 0x024e35c0),
TOBN(0xa1a2bbac, 0xcfc3c789), TOBN(0xbf733e7d, 0x9c26f262),
TOBN(0x882ffbf5, 0xb8444823), TOBN(0xb7224e88, 0x6bf8483b),
TOBN(0x53023b8b, 0x65bef640), TOBN(0xaabfec91, 0xd4d5f8cd),
TOBN(0xa40e1510, 0x079ea1bd), TOBN(0x1ad9addc, 0xd05d5d26),
TOBN(0xdb3f2eab, 0x13e68d4f), TOBN(0x1cff1ae2, 0x640f803f),
TOBN(0xe0e7b749, 0xd4cee117), TOBN(0x8e9f275b, 0x4036d909),
TOBN(0xce34e31d, 0x8f4d4c38), TOBN(0x22b37f69, 0xd75130fc),
TOBN(0x83e0f1fd, 0xb4014604), TOBN(0xa8ce9919, 0x89415078),
TOBN(0x82375b75, 0x41792efe), TOBN(0x4f59bf5c, 0x97d4515b),
TOBN(0xac4f324f, 0x923a277d), TOBN(0xd9bc9b7d, 0x650f3406),
TOBN(0xc6fa87d1, 0x8a39bc51), TOBN(0x82588530, 0x5ccc108f),
TOBN(0x5ced3c9f, 0x82e4c634), TOBN(0x8efb8314, 0x3a4464f8),
TOBN(0xe706381b, 0x7a1dca25), TOBN(0x6cd15a3c, 0x5a2a412b),
TOBN(0x9347a8fd, 0xbfcd8fb5), TOBN(0x31db2eef, 0x6e54cd22),
TOBN(0xc4aeb11e, 0xf8d8932f), TOBN(0x11e7c1ed, 0x344411af),
TOBN(0x2653050c, 0xdc9a151e), TOBN(0x9edbfc08, 0x3bb0a859),
TOBN(0x926c81c7, 0xfd5691e7), TOBN(0x9c1b2342, 0x6f39019a),
TOBN(0x64a81c8b, 0x7f8474b9), TOBN(0x90657c07, 0x01761819),
TOBN(0x390b3331, 0x55e0375a), TOBN(0xc676c626, 0xb6ebc47d),
TOBN(0x51623247, 0xb7d6dee8), TOBN(0x0948d927, 0x79659313),
TOBN(0x99700161, 0xe9ab35ed), TOBN(0x06cc32b4, 0x8ddde408),
TOBN(0x6f2fd664, 0x061ef338), TOBN(0x1606fa02, 0xc202e9ed),
TOBN(0x55388bc1, 0x929ba99b), TOBN(0xc4428c5e, 0x1e81df69),
TOBN(0xce2028ae, 0xf91b0b2a), TOBN(0xce870a23, 0xf03dfd3f),
TOBN(0x66ec2c87, 0x0affe8ed), TOBN(0xb205fb46, 0x284d0c00),
TOBN(0xbf5dffe7, 0x44cefa48), TOBN(0xb6fc37a8, 0xa19876d7),
TOBN(0xbecfa84c, 0x08b72863), TOBN(0xd7205ff5, 0x2576374f),
TOBN(0x80330d32, 0x8887de41), TOBN(0x5de0df0c, 0x869ea534),
TOBN(0x13f42753, 0x3c56ea17), TOBN(0xeb1f6069, 0x452b1a78),
TOBN(0x50474396, 0xe30ea15c), TOBN(0x575816a1, 0xc1494125),
TOBN(0xbe1ce55b, 0xfe6bb38f), TOBN(0xb901a948, 0x96ae30f7),
TOBN(0xe5af0f08, 0xd8fc3548), TOBN(0x5010b5d0, 0xd73bfd08),
TOBN(0x993d2880, 0x53fe655a), TOBN(0x99f2630b, 0x1c1309fd),
TOBN(0xd8677baf, 0xb4e3b76f), TOBN(0x14e51ddc, 0xb840784b),
TOBN(0x326c750c, 0xbf0092ce), TOBN(0xc83d306b, 0xf528320f),
TOBN(0xc4456715, 0x77d4715c), TOBN(0xd30019f9, 0x6b703235),
TOBN(0x207ccb2e, 0xd669e986), TOBN(0x57c824af, 0xf6dbfc28),
TOBN(0xf0eb532f, 0xd8f92a23), TOBN(0x4a557fd4, 0x9bb98fd2),
TOBN(0xa57acea7, 0xc1e6199a), TOBN(0x0c663820, 0x8b94b1ed),
TOBN(0x9b42be8f, 0xf83a9266), TOBN(0xc7741c97, 0x0101bd45),
TOBN(0x95770c11, 0x07bd9ceb), TOBN(0x1f50250a, 0x8b2e0744),
TOBN(0xf762eec8, 0x1477b654), TOBN(0xc65b900e, 0x15efe59a),
TOBN(0x88c96148, 0x9546a897), TOBN(0x7e8025b3, 0xc30b4d7c),
TOBN(0xae4065ef, 0x12045cf9), TOBN(0x6fcb2caf, 0x9ccce8bd),
TOBN(0x1fa0ba4e, 0xf2cf6525), TOBN(0xf683125d, 0xcb72c312),
TOBN(0xa01da4ea, 0xe312410e), TOBN(0x67e28677, 0x6cd8e830),
TOBN(0xabd95752, 0x98fb3f07), TOBN(0x05f11e11, 0xeef649a5),
TOBN(0xba47faef, 0x9d3472c2), TOBN(0x3adff697, 0xc77d1345),
TOBN(0x4761fa04, 0xdd15afee), TOBN(0x64f1f61a, 0xb9e69462),
TOBN(0xfa691fab, 0x9bfb9093), TOBN(0x3df8ae8f, 0xa1133dfe),
TOBN(0xcd5f8967, 0x58cc710d), TOBN(0xfbb88d50, 0x16c7fe79),
TOBN(0x8e011b4c, 0xe88c50d1), TOBN(0x7532e807, 0xa8771c4f),
TOBN(0x64c78a48, 0xe2278ee4), TOBN(0x0b283e83, 0x3845072a),
TOBN(0x98a6f291, 0x49e69274), TOBN(0xb96e9668, 0x1868b21c),
TOBN(0x38f0adc2, 0xb1a8908e), TOBN(0x90afcff7, 0x1feb829d),
TOBN(0x9915a383, 0x210b0856), TOBN(0xa5a80602, 0xdef04889),
TOBN(0x800e9af9, 0x7c64d509), TOBN(0x81382d0b, 0xb8996f6f),
TOBN(0x490eba53, 0x81927e27), TOBN(0x46c63b32, 0x4af50182),
TOBN(0x784c5fd9, 0xd3ad62ce), TOBN(0xe4fa1870, 0xf8ae8736),
TOBN(0x4ec9d0bc, 0xd7466b25), TOBN(0x84ddbe1a, 0xdb235c65),
TOBN(0x5e2645ee, 0x163c1688), TOBN(0x570bd00e, 0x00eba747),
TOBN(0xfa51b629, 0x128bfa0f), TOBN(0x92fce1bd, 0x6c1d3b68),
TOBN(0x3e7361dc, 0xb66778b1), TOBN(0x9c7d249d, 0x5561d2bb),
TOBN(0xa40b28bf, 0x0bbc6229), TOBN(0x1c83c05e, 0xdfd91497),
TOBN(0x5f9f5154, 0xf083df05), TOBN(0xbac38b3c, 0xeee66c9d),
TOBN(0xf71db7e3, 0xec0dfcfd), TOBN(0xf2ecda8e, 0x8b0a8416),
TOBN(0x52fddd86, 0x7812aa66), TOBN(0x2896ef10, 0x4e6f4272),
TOBN(0xff27186a, 0x0fe9a745), TOBN(0x08249fcd, 0x49ca70db),
TOBN(0x7425a2e6, 0x441cac49), TOBN(0xf4a0885a, 0xece5ff57),
TOBN(0x6e2cb731, 0x7d7ead58), TOBN(0xf96cf7d6, 0x1898d104),
TOBN(0xafe67c9d, 0x4f2c9a89), TOBN(0x89895a50, 0x1c7bf5bc),
TOBN(0xdc7cb8e5, 0x573cecfa), TOBN(0x66497eae, 0xd15f03e6),
TOBN(0x6bc0de69, 0x3f084420), TOBN(0x323b9b36, 0xacd532b0),
TOBN(0xcfed390a, 0x0115a3c1), TOBN(0x9414c40b, 0x2d65ca0e),
TOBN(0x641406bd, 0x2f530c78), TOBN(0x29369a44, 0x833438f2),
TOBN(0x996884f5, 0x903fa271), TOBN(0xe6da0fd2, 0xb9da921e),
TOBN(0xa6f2f269, 0x5db01e54), TOBN(0x1ee3e9bd, 0x6876214e),
TOBN(0xa26e181c, 0xe27a9497), TOBN(0x36d254e4, 0x8e215e04),
TOBN(0x42f32a6c, 0x252cabca), TOBN(0x99481487, 0x80b57614),
TOBN(0x4c4dfe69, 0x40d9cae1), TOBN(0x05869580, 0x11a10f09),
TOBN(0xca287b57, 0x3491b64b), TOBN(0x77862d5d, 0x3fd4a53b),
TOBN(0xbf94856e, 0x50349126), TOBN(0x2be30bd1, 0x71c5268f),
TOBN(0x10393f19, 0xcbb650a6), TOBN(0x639531fe, 0x778cf9fd),
TOBN(0x02556a11, 0xb2935359), TOBN(0xda38aa96, 0xaf8c126e),
TOBN(0x47dbe6c2, 0x0960167f), TOBN(0x37bbabb6, 0x501901cd),
TOBN(0xb6e979e0, 0x2c947778), TOBN(0xd69a5175, 0x7a1a1dc6),
TOBN(0xc3ed5095, 0x9d9faf0c), TOBN(0x4dd9c096, 0x1d5fa5f0),
TOBN(0xa0c4304d, 0x64f16ea8), TOBN(0x8b1cac16, 0x7e718623),
TOBN(0x0b576546, 0x7c67f03e), TOBN(0x559cf5ad, 0xcbd88c01),
TOBN(0x074877bb, 0x0e2af19a), TOBN(0x1f717ec1, 0xa1228c92),
TOBN(0x70bcb800, 0x326e8920), TOBN(0xec6e2c5c, 0x4f312804),
TOBN(0x426aea7d, 0x3fca4752), TOBN(0xf12c0949, 0x2211f62a),
TOBN(0x24beecd8, 0x7be7b6b5), TOBN(0xb77eaf4c, 0x36d7a27d),
TOBN(0x154c2781, 0xfda78fd3), TOBN(0x848a83b0, 0x264eeabe),
TOBN(0x81287ef0, 0x4ffe2bc4), TOBN(0x7b6d88c6, 0xb6b6fc2a),
TOBN(0x805fb947, 0xce417d99), TOBN(0x4b93dcc3, 0x8b916cc4),
TOBN(0x72e65bb3, 0x21273323), TOBN(0xbcc1badd, 0x6ea9886e),
TOBN(0x0e223011, 0x4bc5ee85), TOBN(0xa561be74, 0xc18ee1e4),
TOBN(0x762fd2d4, 0xa6bcf1f1), TOBN(0x50e6a5a4, 0x95231489),
TOBN(0xca96001f, 0xa00b500b), TOBN(0x5c098cfc, 0x5d7dcdf5),
TOBN(0xa64e2d2e, 0x8c446a85), TOBN(0xbae9bcf1, 0x971f3c62),
TOBN(0x4ec22683, 0x8435a2c5), TOBN(0x8ceaed6c, 0x4bad4643),
TOBN(0xe9f8fb47, 0xccccf4e3), TOBN(0xbd4f3fa4, 0x1ce3b21e),
TOBN(0xd79fb110, 0xa3db3292), TOBN(0xe28a37da, 0xb536c66a),
TOBN(0x279ce87b, 0x8e49e6a9), TOBN(0x70ccfe8d, 0xfdcec8e3),
TOBN(0x2193e4e0, 0x3ba464b2), TOBN(0x0f39d60e, 0xaca9a398),
TOBN(0x7d7932af, 0xf82c12ab), TOBN(0xd8ff50ed, 0x91e7e0f7),
TOBN(0xea961058, 0xfa28a7e0), TOBN(0xc726cf25, 0x0bf5ec74),
TOBN(0xe74d55c8, 0xdb229666), TOBN(0x0bd9abbf, 0xa57f5799),
TOBN(0x7479ef07, 0x4dfc47b3), TOBN(0xd9c65fc3, 0x0c52f91d),
TOBN(0x8e0283fe, 0x36a8bde2), TOBN(0xa32a8b5e, 0x7d4b7280),
TOBN(0x6a677c61, 0x12e83233), TOBN(0x0fbb3512, 0xdcc9bf28),
TOBN(0x562e8ea5, 0x0d780f61), TOBN(0x0db8b22b, 0x1dc4e89c),
TOBN(0x0a6fd1fb, 0x89be0144), TOBN(0x8c77d246, 0xca57113b),
TOBN(0x4639075d, 0xff09c91c), TOBN(0x5b47b17f, 0x5060824c),
TOBN(0x58aea2b0, 0x16287b52), TOBN(0xa1343520, 0xd0cd8eb0),
TOBN(0x6148b4d0, 0xc5d58573), TOBN(0xdd2b6170, 0x291c68ae),
TOBN(0xa61b3929, 0x1da3b3b7), TOBN(0x5f946d79, 0x08c4ac10),
TOBN(0x4105d4a5, 0x7217d583), TOBN(0x5061da3d, 0x25e6de5e),
TOBN(0x3113940d, 0xec1b4991), TOBN(0xf12195e1, 0x36f485ae),
TOBN(0xa7507fb2, 0x731a2ee0), TOBN(0x95057a8e, 0x6e9e196e),
TOBN(0xa3c2c911, 0x2e130136), TOBN(0x97dfbb36, 0x33c60d15),
TOBN(0xcaf3c581, 0xb300ee2b), TOBN(0x77f25d90, 0xf4bac8b8),
TOBN(0xdb1c4f98, 0x6d840cd6), TOBN(0x471d62c0, 0xe634288c),
TOBN(0x8ec2f85e, 0xcec8a161), TOBN(0x41f37cbc, 0xfa6f4ae2),
TOBN(0x6793a20f, 0x4b709985), TOBN(0x7a7bd33b, 0xefa8985b),
TOBN(0x2c6a3fbd, 0x938e6446), TOBN(0x19042619, 0x2a8d47c1),
TOBN(0x16848667, 0xcc36975f), TOBN(0x02acf168, 0x9d5f1dfb),
TOBN(0x62d41ad4, 0x613baa94), TOBN(0xb56fbb92, 0x9f684670),
TOBN(0xce610d0d, 0xe9e40569), TOBN(0x7b99c65f, 0x35489fef),
TOBN(0x0c88ad1b, 0x3df18b97), TOBN(0x81b7d9be, 0x5d0e9edb),
TOBN(0xd85218c0, 0xc716cc0a), TOBN(0xf4b5ff90, 0x85691c49),
TOBN(0xa4fd666b, 0xce356ac6), TOBN(0x17c72895, 0x4b327a7a),
TOBN(0xf93d5085, 0xda6be7de), TOBN(0xff71530e, 0x3301d34e),
TOBN(0x4cd96442, 0xd8f448e8), TOBN(0x9283d331, 0x2ed18ffa),
TOBN(0x4d33dd99, 0x2a849870), TOBN(0xa716964b, 0x41576335),
TOBN(0xff5e3a9b, 0x179be0e5), TOBN(0x5b9d6b1b, 0x83b13632),
TOBN(0x3b8bd7d4, 0xa52f313b), TOBN(0xc9dd95a0, 0x637a4660),
TOBN(0x30035962, 0x0b3e218f), TOBN(0xce1481a3, 0xc7b28a3c),
TOBN(0xab41b43a, 0x43228d83), TOBN(0x24ae1c30, 0x4ad63f99),
TOBN(0x8e525f1a, 0x46a51229), TOBN(0x14af860f, 0xcd26d2b4),
TOBN(0xd6baef61, 0x3f714aa1), TOBN(0xf51865ad, 0xeb78795e),
TOBN(0xd3e21fce, 0xe6a9d694), TOBN(0x82ceb1dd, 0x8a37b527)}
};
|
./openssl/crypto/ec/ecp_ppc.c | /*
* Copyright 2009-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include "internal/cryptlib.h"
#include "crypto/ppc_arch.h"
#include "ec_local.h"
void ecp_nistz256_mul_mont(unsigned long res[4], const unsigned long a[4],
const unsigned long b[4]);
void ecp_nistz256_to_mont(unsigned long res[4], const unsigned long in[4]);
void ecp_nistz256_to_mont(unsigned long res[4], const unsigned long in[4])
{
static const unsigned long RR[] = { 0x0000000000000003U,
0xfffffffbffffffffU,
0xfffffffffffffffeU,
0x00000004fffffffdU };
ecp_nistz256_mul_mont(res, in, RR);
}
void ecp_nistz256_from_mont(unsigned long res[4], const unsigned long in[4]);
void ecp_nistz256_from_mont(unsigned long res[4], const unsigned long in[4])
{
static const unsigned long one[] = { 1, 0, 0, 0 };
ecp_nistz256_mul_mont(res, in, one);
}
|
./openssl/crypto/ec/ec_oct.c | /*
* Copyright 2011-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <string.h>
#include <openssl/err.h>
#include <openssl/opensslv.h>
#include "ec_local.h"
int EC_POINT_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *point,
const BIGNUM *x, int y_bit, BN_CTX *ctx)
{
if (group->meth->point_set_compressed_coordinates == NULL
&& !(group->meth->flags & EC_FLAGS_DEFAULT_OCT)) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (!ec_point_is_compat(point, group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
if (group->meth->flags & EC_FLAGS_DEFAULT_OCT) {
if (group->meth->field_type == NID_X9_62_prime_field)
return ossl_ec_GFp_simple_set_compressed_coordinates(group, point, x,
y_bit, ctx);
else
#ifdef OPENSSL_NO_EC2M
{
ERR_raise(ERR_LIB_EC, EC_R_GF2M_NOT_SUPPORTED);
return 0;
}
#else
return ossl_ec_GF2m_simple_set_compressed_coordinates(group, point,
x, y_bit, ctx);
#endif
}
return group->meth->point_set_compressed_coordinates(group, point, x,
y_bit, ctx);
}
#ifndef OPENSSL_NO_DEPRECATED_3_0
int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group,
EC_POINT *point, const BIGNUM *x,
int y_bit, BN_CTX *ctx)
{
return EC_POINT_set_compressed_coordinates(group, point, x, y_bit, ctx);
}
# ifndef OPENSSL_NO_EC2M
int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group,
EC_POINT *point, const BIGNUM *x,
int y_bit, BN_CTX *ctx)
{
return EC_POINT_set_compressed_coordinates(group, point, x, y_bit, ctx);
}
# endif
#endif
size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *point,
point_conversion_form_t form, unsigned char *buf,
size_t len, BN_CTX *ctx)
{
if (group->meth->point2oct == 0
&& !(group->meth->flags & EC_FLAGS_DEFAULT_OCT)) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (!ec_point_is_compat(point, group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
if (group->meth->flags & EC_FLAGS_DEFAULT_OCT) {
if (group->meth->field_type == NID_X9_62_prime_field)
return ossl_ec_GFp_simple_point2oct(group, point, form, buf, len,
ctx);
else
#ifdef OPENSSL_NO_EC2M
{
ERR_raise(ERR_LIB_EC, EC_R_GF2M_NOT_SUPPORTED);
return 0;
}
#else
return ossl_ec_GF2m_simple_point2oct(group, point,
form, buf, len, ctx);
#endif
}
return group->meth->point2oct(group, point, form, buf, len, ctx);
}
int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point,
const unsigned char *buf, size_t len, BN_CTX *ctx)
{
if (group->meth->oct2point == 0
&& !(group->meth->flags & EC_FLAGS_DEFAULT_OCT)) {
ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (!ec_point_is_compat(point, group)) {
ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
if (group->meth->flags & EC_FLAGS_DEFAULT_OCT) {
if (group->meth->field_type == NID_X9_62_prime_field)
return ossl_ec_GFp_simple_oct2point(group, point, buf, len, ctx);
else
#ifdef OPENSSL_NO_EC2M
{
ERR_raise(ERR_LIB_EC, EC_R_GF2M_NOT_SUPPORTED);
return 0;
}
#else
return ossl_ec_GF2m_simple_oct2point(group, point, buf, len, ctx);
#endif
}
return group->meth->oct2point(group, point, buf, len, ctx);
}
size_t EC_POINT_point2buf(const EC_GROUP *group, const EC_POINT *point,
point_conversion_form_t form,
unsigned char **pbuf, BN_CTX *ctx)
{
size_t len;
unsigned char *buf;
len = EC_POINT_point2oct(group, point, form, NULL, 0, NULL);
if (len == 0)
return 0;
if ((buf = OPENSSL_malloc(len)) == NULL)
return 0;
len = EC_POINT_point2oct(group, point, form, buf, len, ctx);
if (len == 0) {
OPENSSL_free(buf);
return 0;
}
*pbuf = buf;
return len;
}
|
./openssl/crypto/ec/ecp_nistz256.c | /*
* Copyright 2014-2023 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2014, Intel Corporation. All Rights Reserved.
* Copyright (c) 2015, CloudFlare, Inc.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
* Originally written by Shay Gueron (1, 2), and Vlad Krasnov (1, 3)
* (1) Intel Corporation, Israel Development Center, Haifa, Israel
* (2) University of Haifa, Israel
* (3) CloudFlare, Inc.
*
* Reference:
* S.Gueron and V.Krasnov, "Fast Prime Field Elliptic Curve Cryptography with
* 256 Bit Primes"
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <string.h>
#include "internal/cryptlib.h"
#include "crypto/bn.h"
#include "ec_local.h"
#include "internal/refcount.h"
#if BN_BITS2 != 64
# define TOBN(hi,lo) lo,hi
#else
# define TOBN(hi,lo) ((BN_ULONG)hi<<32|lo)
#endif
#define ALIGNPTR(p,N) ((unsigned char *)p+N-(size_t)p%N)
#define P256_LIMBS (256/BN_BITS2)
typedef unsigned short u16;
typedef struct {
BN_ULONG X[P256_LIMBS];
BN_ULONG Y[P256_LIMBS];
BN_ULONG Z[P256_LIMBS];
} P256_POINT;
typedef struct {
BN_ULONG X[P256_LIMBS];
BN_ULONG Y[P256_LIMBS];
} P256_POINT_AFFINE;
typedef P256_POINT_AFFINE PRECOMP256_ROW[64];
/* structure for precomputed multiples of the generator */
struct nistz256_pre_comp_st {
const EC_GROUP *group; /* Parent EC_GROUP object */
size_t w; /* Window size */
/*
* Constant time access to the X and Y coordinates of the pre-computed,
* generator multiplies, in the Montgomery domain. Pre-calculated
* multiplies are stored in affine form.
*/
PRECOMP256_ROW *precomp;
void *precomp_storage;
CRYPTO_REF_COUNT references;
};
/* Functions implemented in assembly */
/*
* Most of below mentioned functions *preserve* the property of inputs
* being fully reduced, i.e. being in [0, modulus) range. Simply put if
* inputs are fully reduced, then output is too. Note that reverse is
* not true, in sense that given partially reduced inputs output can be
* either, not unlikely reduced. And "most" in first sentence refers to
* the fact that given the calculations flow one can tolerate that
* addition, 1st function below, produces partially reduced result *if*
* multiplications by 2 and 3, which customarily use addition, fully
* reduce it. This effectively gives two options: a) addition produces
* fully reduced result [as long as inputs are, just like remaining
* functions]; b) addition is allowed to produce partially reduced
* result, but multiplications by 2 and 3 perform additional reduction
* step. Choice between the two can be platform-specific, but it was a)
* in all cases so far...
*/
/* Modular add: res = a+b mod P */
void ecp_nistz256_add(BN_ULONG res[P256_LIMBS],
const BN_ULONG a[P256_LIMBS],
const BN_ULONG b[P256_LIMBS]);
/* Modular mul by 2: res = 2*a mod P */
void ecp_nistz256_mul_by_2(BN_ULONG res[P256_LIMBS],
const BN_ULONG a[P256_LIMBS]);
/* Modular mul by 3: res = 3*a mod P */
void ecp_nistz256_mul_by_3(BN_ULONG res[P256_LIMBS],
const BN_ULONG a[P256_LIMBS]);
/* Modular div by 2: res = a/2 mod P */
void ecp_nistz256_div_by_2(BN_ULONG res[P256_LIMBS],
const BN_ULONG a[P256_LIMBS]);
/* Modular sub: res = a-b mod P */
void ecp_nistz256_sub(BN_ULONG res[P256_LIMBS],
const BN_ULONG a[P256_LIMBS],
const BN_ULONG b[P256_LIMBS]);
/* Modular neg: res = -a mod P */
void ecp_nistz256_neg(BN_ULONG res[P256_LIMBS], const BN_ULONG a[P256_LIMBS]);
/* Montgomery mul: res = a*b*2^-256 mod P */
void ecp_nistz256_mul_mont(BN_ULONG res[P256_LIMBS],
const BN_ULONG a[P256_LIMBS],
const BN_ULONG b[P256_LIMBS]);
/* Montgomery sqr: res = a*a*2^-256 mod P */
void ecp_nistz256_sqr_mont(BN_ULONG res[P256_LIMBS],
const BN_ULONG a[P256_LIMBS]);
/* Convert a number from Montgomery domain, by multiplying with 1 */
void ecp_nistz256_from_mont(BN_ULONG res[P256_LIMBS],
const BN_ULONG in[P256_LIMBS]);
/* Convert a number to Montgomery domain, by multiplying with 2^512 mod P*/
void ecp_nistz256_to_mont(BN_ULONG res[P256_LIMBS],
const BN_ULONG in[P256_LIMBS]);
/* Functions that perform constant time access to the precomputed tables */
void ecp_nistz256_scatter_w5(P256_POINT *val,
const P256_POINT *in_t, int idx);
void ecp_nistz256_gather_w5(P256_POINT *val,
const P256_POINT *in_t, int idx);
void ecp_nistz256_scatter_w7(P256_POINT_AFFINE *val,
const P256_POINT_AFFINE *in_t, int idx);
void ecp_nistz256_gather_w7(P256_POINT_AFFINE *val,
const P256_POINT_AFFINE *in_t, int idx);
/* One converted into the Montgomery domain */
static const BN_ULONG ONE[P256_LIMBS] = {
TOBN(0x00000000, 0x00000001), TOBN(0xffffffff, 0x00000000),
TOBN(0xffffffff, 0xffffffff), TOBN(0x00000000, 0xfffffffe)
};
static NISTZ256_PRE_COMP *ecp_nistz256_pre_comp_new(const EC_GROUP *group);
/* Precomputed tables for the default generator */
extern const PRECOMP256_ROW ecp_nistz256_precomputed[37];
/* Recode window to a signed digit, see ecp_nistputil.c for details */
static unsigned int _booth_recode_w5(unsigned int in)
{
unsigned int s, d;
s = ~((in >> 5) - 1);
d = (1 << 6) - in - 1;
d = (d & s) | (in & ~s);
d = (d >> 1) + (d & 1);
return (d << 1) + (s & 1);
}
static unsigned int _booth_recode_w7(unsigned int in)
{
unsigned int s, d;
s = ~((in >> 7) - 1);
d = (1 << 8) - in - 1;
d = (d & s) | (in & ~s);
d = (d >> 1) + (d & 1);
return (d << 1) + (s & 1);
}
static void copy_conditional(BN_ULONG dst[P256_LIMBS],
const BN_ULONG src[P256_LIMBS], BN_ULONG move)
{
BN_ULONG mask1 = 0-move;
BN_ULONG mask2 = ~mask1;
dst[0] = (src[0] & mask1) ^ (dst[0] & mask2);
dst[1] = (src[1] & mask1) ^ (dst[1] & mask2);
dst[2] = (src[2] & mask1) ^ (dst[2] & mask2);
dst[3] = (src[3] & mask1) ^ (dst[3] & mask2);
if (P256_LIMBS == 8) {
dst[4] = (src[4] & mask1) ^ (dst[4] & mask2);
dst[5] = (src[5] & mask1) ^ (dst[5] & mask2);
dst[6] = (src[6] & mask1) ^ (dst[6] & mask2);
dst[7] = (src[7] & mask1) ^ (dst[7] & mask2);
}
}
static BN_ULONG is_zero(BN_ULONG in)
{
in |= (0 - in);
in = ~in;
in >>= BN_BITS2 - 1;
return in;
}
static BN_ULONG is_equal(const BN_ULONG a[P256_LIMBS],
const BN_ULONG b[P256_LIMBS])
{
BN_ULONG res;
res = a[0] ^ b[0];
res |= a[1] ^ b[1];
res |= a[2] ^ b[2];
res |= a[3] ^ b[3];
if (P256_LIMBS == 8) {
res |= a[4] ^ b[4];
res |= a[5] ^ b[5];
res |= a[6] ^ b[6];
res |= a[7] ^ b[7];
}
return is_zero(res);
}
static BN_ULONG is_one(const BIGNUM *z)
{
BN_ULONG res = 0;
BN_ULONG *a = bn_get_words(z);
if (bn_get_top(z) == (P256_LIMBS - P256_LIMBS / 8)) {
res = a[0] ^ ONE[0];
res |= a[1] ^ ONE[1];
res |= a[2] ^ ONE[2];
res |= a[3] ^ ONE[3];
if (P256_LIMBS == 8) {
res |= a[4] ^ ONE[4];
res |= a[5] ^ ONE[5];
res |= a[6] ^ ONE[6];
/*
* no check for a[7] (being zero) on 32-bit platforms,
* because value of "one" takes only 7 limbs.
*/
}
res = is_zero(res);
}
return res;
}
/*
* For reference, this macro is used only when new ecp_nistz256 assembly
* module is being developed. For example, configure with
* -DECP_NISTZ256_REFERENCE_IMPLEMENTATION and implement only functions
* performing simplest arithmetic operations on 256-bit vectors. Then
* work on implementation of higher-level functions performing point
* operations. Then remove ECP_NISTZ256_REFERENCE_IMPLEMENTATION
* and never define it again. (The correct macro denoting presence of
* ecp_nistz256 module is ECP_NISTZ256_ASM.)
*/
#ifndef ECP_NISTZ256_REFERENCE_IMPLEMENTATION
void ecp_nistz256_point_double(P256_POINT *r, const P256_POINT *a);
void ecp_nistz256_point_add(P256_POINT *r,
const P256_POINT *a, const P256_POINT *b);
void ecp_nistz256_point_add_affine(P256_POINT *r,
const P256_POINT *a,
const P256_POINT_AFFINE *b);
#else
/* Point double: r = 2*a */
static void ecp_nistz256_point_double(P256_POINT *r, const P256_POINT *a)
{
BN_ULONG S[P256_LIMBS];
BN_ULONG M[P256_LIMBS];
BN_ULONG Zsqr[P256_LIMBS];
BN_ULONG tmp0[P256_LIMBS];
const BN_ULONG *in_x = a->X;
const BN_ULONG *in_y = a->Y;
const BN_ULONG *in_z = a->Z;
BN_ULONG *res_x = r->X;
BN_ULONG *res_y = r->Y;
BN_ULONG *res_z = r->Z;
ecp_nistz256_mul_by_2(S, in_y);
ecp_nistz256_sqr_mont(Zsqr, in_z);
ecp_nistz256_sqr_mont(S, S);
ecp_nistz256_mul_mont(res_z, in_z, in_y);
ecp_nistz256_mul_by_2(res_z, res_z);
ecp_nistz256_add(M, in_x, Zsqr);
ecp_nistz256_sub(Zsqr, in_x, Zsqr);
ecp_nistz256_sqr_mont(res_y, S);
ecp_nistz256_div_by_2(res_y, res_y);
ecp_nistz256_mul_mont(M, M, Zsqr);
ecp_nistz256_mul_by_3(M, M);
ecp_nistz256_mul_mont(S, S, in_x);
ecp_nistz256_mul_by_2(tmp0, S);
ecp_nistz256_sqr_mont(res_x, M);
ecp_nistz256_sub(res_x, res_x, tmp0);
ecp_nistz256_sub(S, S, res_x);
ecp_nistz256_mul_mont(S, S, M);
ecp_nistz256_sub(res_y, S, res_y);
}
/* Point addition: r = a+b */
static void ecp_nistz256_point_add(P256_POINT *r,
const P256_POINT *a, const P256_POINT *b)
{
BN_ULONG U2[P256_LIMBS], S2[P256_LIMBS];
BN_ULONG U1[P256_LIMBS], S1[P256_LIMBS];
BN_ULONG Z1sqr[P256_LIMBS];
BN_ULONG Z2sqr[P256_LIMBS];
BN_ULONG H[P256_LIMBS], R[P256_LIMBS];
BN_ULONG Hsqr[P256_LIMBS];
BN_ULONG Rsqr[P256_LIMBS];
BN_ULONG Hcub[P256_LIMBS];
BN_ULONG res_x[P256_LIMBS];
BN_ULONG res_y[P256_LIMBS];
BN_ULONG res_z[P256_LIMBS];
BN_ULONG in1infty, in2infty;
const BN_ULONG *in1_x = a->X;
const BN_ULONG *in1_y = a->Y;
const BN_ULONG *in1_z = a->Z;
const BN_ULONG *in2_x = b->X;
const BN_ULONG *in2_y = b->Y;
const BN_ULONG *in2_z = b->Z;
/*
* Infinity in encoded as (,,0)
*/
in1infty = (in1_z[0] | in1_z[1] | in1_z[2] | in1_z[3]);
if (P256_LIMBS == 8)
in1infty |= (in1_z[4] | in1_z[5] | in1_z[6] | in1_z[7]);
in2infty = (in2_z[0] | in2_z[1] | in2_z[2] | in2_z[3]);
if (P256_LIMBS == 8)
in2infty |= (in2_z[4] | in2_z[5] | in2_z[6] | in2_z[7]);
in1infty = is_zero(in1infty);
in2infty = is_zero(in2infty);
ecp_nistz256_sqr_mont(Z2sqr, in2_z); /* Z2^2 */
ecp_nistz256_sqr_mont(Z1sqr, in1_z); /* Z1^2 */
ecp_nistz256_mul_mont(S1, Z2sqr, in2_z); /* S1 = Z2^3 */
ecp_nistz256_mul_mont(S2, Z1sqr, in1_z); /* S2 = Z1^3 */
ecp_nistz256_mul_mont(S1, S1, in1_y); /* S1 = Y1*Z2^3 */
ecp_nistz256_mul_mont(S2, S2, in2_y); /* S2 = Y2*Z1^3 */
ecp_nistz256_sub(R, S2, S1); /* R = S2 - S1 */
ecp_nistz256_mul_mont(U1, in1_x, Z2sqr); /* U1 = X1*Z2^2 */
ecp_nistz256_mul_mont(U2, in2_x, Z1sqr); /* U2 = X2*Z1^2 */
ecp_nistz256_sub(H, U2, U1); /* H = U2 - U1 */
/*
* The formulae are incorrect if the points are equal so we check for
* this and do doubling if this happens.
*
* Points here are in Jacobian projective coordinates (Xi, Yi, Zi)
* that are bound to the affine coordinates (xi, yi) by the following
* equations:
* - xi = Xi / (Zi)^2
* - y1 = Yi / (Zi)^3
*
* For the sake of optimization, the algorithm operates over
* intermediate variables U1, U2 and S1, S2 that are derived from
* the projective coordinates:
* - U1 = X1 * (Z2)^2 ; U2 = X2 * (Z1)^2
* - S1 = Y1 * (Z2)^3 ; S2 = Y2 * (Z1)^3
*
* It is easy to prove that is_equal(U1, U2) implies that the affine
* x-coordinates are equal, or either point is at infinity.
* Likewise is_equal(S1, S2) implies that the affine y-coordinates are
* equal, or either point is at infinity.
*
* The special case of either point being the point at infinity (Z1 or Z2
* is zero), is handled separately later on in this function, so we avoid
* jumping to point_double here in those special cases.
*
* When both points are inverse of each other, we know that the affine
* x-coordinates are equal, and the y-coordinates have different sign.
* Therefore since U1 = U2, we know H = 0, and therefore Z3 = H*Z1*Z2
* will equal 0, thus the result is infinity, if we simply let this
* function continue normally.
*
* We use bitwise operations to avoid potential side-channels introduced by
* the short-circuiting behaviour of boolean operators.
*/
if (is_equal(U1, U2) & ~in1infty & ~in2infty & is_equal(S1, S2)) {
/*
* This is obviously not constant-time but it should never happen during
* single point multiplication, so there is no timing leak for ECDH or
* ECDSA signing.
*/
ecp_nistz256_point_double(r, a);
return;
}
ecp_nistz256_sqr_mont(Rsqr, R); /* R^2 */
ecp_nistz256_mul_mont(res_z, H, in1_z); /* Z3 = H*Z1*Z2 */
ecp_nistz256_sqr_mont(Hsqr, H); /* H^2 */
ecp_nistz256_mul_mont(res_z, res_z, in2_z); /* Z3 = H*Z1*Z2 */
ecp_nistz256_mul_mont(Hcub, Hsqr, H); /* H^3 */
ecp_nistz256_mul_mont(U2, U1, Hsqr); /* U1*H^2 */
ecp_nistz256_mul_by_2(Hsqr, U2); /* 2*U1*H^2 */
ecp_nistz256_sub(res_x, Rsqr, Hsqr);
ecp_nistz256_sub(res_x, res_x, Hcub);
ecp_nistz256_sub(res_y, U2, res_x);
ecp_nistz256_mul_mont(S2, S1, Hcub);
ecp_nistz256_mul_mont(res_y, R, res_y);
ecp_nistz256_sub(res_y, res_y, S2);
copy_conditional(res_x, in2_x, in1infty);
copy_conditional(res_y, in2_y, in1infty);
copy_conditional(res_z, in2_z, in1infty);
copy_conditional(res_x, in1_x, in2infty);
copy_conditional(res_y, in1_y, in2infty);
copy_conditional(res_z, in1_z, in2infty);
memcpy(r->X, res_x, sizeof(res_x));
memcpy(r->Y, res_y, sizeof(res_y));
memcpy(r->Z, res_z, sizeof(res_z));
}
/* Point addition when b is known to be affine: r = a+b */
static void ecp_nistz256_point_add_affine(P256_POINT *r,
const P256_POINT *a,
const P256_POINT_AFFINE *b)
{
BN_ULONG U2[P256_LIMBS], S2[P256_LIMBS];
BN_ULONG Z1sqr[P256_LIMBS];
BN_ULONG H[P256_LIMBS], R[P256_LIMBS];
BN_ULONG Hsqr[P256_LIMBS];
BN_ULONG Rsqr[P256_LIMBS];
BN_ULONG Hcub[P256_LIMBS];
BN_ULONG res_x[P256_LIMBS];
BN_ULONG res_y[P256_LIMBS];
BN_ULONG res_z[P256_LIMBS];
BN_ULONG in1infty, in2infty;
const BN_ULONG *in1_x = a->X;
const BN_ULONG *in1_y = a->Y;
const BN_ULONG *in1_z = a->Z;
const BN_ULONG *in2_x = b->X;
const BN_ULONG *in2_y = b->Y;
/*
* Infinity in encoded as (,,0)
*/
in1infty = (in1_z[0] | in1_z[1] | in1_z[2] | in1_z[3]);
if (P256_LIMBS == 8)
in1infty |= (in1_z[4] | in1_z[5] | in1_z[6] | in1_z[7]);
/*
* In affine representation we encode infinity as (0,0), which is
* not on the curve, so it is OK
*/
in2infty = (in2_x[0] | in2_x[1] | in2_x[2] | in2_x[3] |
in2_y[0] | in2_y[1] | in2_y[2] | in2_y[3]);
if (P256_LIMBS == 8)
in2infty |= (in2_x[4] | in2_x[5] | in2_x[6] | in2_x[7] |
in2_y[4] | in2_y[5] | in2_y[6] | in2_y[7]);
in1infty = is_zero(in1infty);
in2infty = is_zero(in2infty);
ecp_nistz256_sqr_mont(Z1sqr, in1_z); /* Z1^2 */
ecp_nistz256_mul_mont(U2, in2_x, Z1sqr); /* U2 = X2*Z1^2 */
ecp_nistz256_sub(H, U2, in1_x); /* H = U2 - U1 */
ecp_nistz256_mul_mont(S2, Z1sqr, in1_z); /* S2 = Z1^3 */
ecp_nistz256_mul_mont(res_z, H, in1_z); /* Z3 = H*Z1*Z2 */
ecp_nistz256_mul_mont(S2, S2, in2_y); /* S2 = Y2*Z1^3 */
ecp_nistz256_sub(R, S2, in1_y); /* R = S2 - S1 */
ecp_nistz256_sqr_mont(Hsqr, H); /* H^2 */
ecp_nistz256_sqr_mont(Rsqr, R); /* R^2 */
ecp_nistz256_mul_mont(Hcub, Hsqr, H); /* H^3 */
ecp_nistz256_mul_mont(U2, in1_x, Hsqr); /* U1*H^2 */
ecp_nistz256_mul_by_2(Hsqr, U2); /* 2*U1*H^2 */
ecp_nistz256_sub(res_x, Rsqr, Hsqr);
ecp_nistz256_sub(res_x, res_x, Hcub);
ecp_nistz256_sub(H, U2, res_x);
ecp_nistz256_mul_mont(S2, in1_y, Hcub);
ecp_nistz256_mul_mont(H, H, R);
ecp_nistz256_sub(res_y, H, S2);
copy_conditional(res_x, in2_x, in1infty);
copy_conditional(res_x, in1_x, in2infty);
copy_conditional(res_y, in2_y, in1infty);
copy_conditional(res_y, in1_y, in2infty);
copy_conditional(res_z, ONE, in1infty);
copy_conditional(res_z, in1_z, in2infty);
memcpy(r->X, res_x, sizeof(res_x));
memcpy(r->Y, res_y, sizeof(res_y));
memcpy(r->Z, res_z, sizeof(res_z));
}
#endif
/* r = in^-1 mod p */
static void ecp_nistz256_mod_inverse(BN_ULONG r[P256_LIMBS],
const BN_ULONG in[P256_LIMBS])
{
/*
* The poly is ffffffff 00000001 00000000 00000000 00000000 ffffffff
* ffffffff ffffffff We use FLT and used poly-2 as exponent
*/
BN_ULONG p2[P256_LIMBS];
BN_ULONG p4[P256_LIMBS];
BN_ULONG p8[P256_LIMBS];
BN_ULONG p16[P256_LIMBS];
BN_ULONG p32[P256_LIMBS];
BN_ULONG res[P256_LIMBS];
int i;
ecp_nistz256_sqr_mont(res, in);
ecp_nistz256_mul_mont(p2, res, in); /* 3*p */
ecp_nistz256_sqr_mont(res, p2);
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_mul_mont(p4, res, p2); /* f*p */
ecp_nistz256_sqr_mont(res, p4);
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_mul_mont(p8, res, p4); /* ff*p */
ecp_nistz256_sqr_mont(res, p8);
for (i = 0; i < 7; i++)
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_mul_mont(p16, res, p8); /* ffff*p */
ecp_nistz256_sqr_mont(res, p16);
for (i = 0; i < 15; i++)
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_mul_mont(p32, res, p16); /* ffffffff*p */
ecp_nistz256_sqr_mont(res, p32);
for (i = 0; i < 31; i++)
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_mul_mont(res, res, in);
for (i = 0; i < 32 * 4; i++)
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_mul_mont(res, res, p32);
for (i = 0; i < 32; i++)
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_mul_mont(res, res, p32);
for (i = 0; i < 16; i++)
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_mul_mont(res, res, p16);
for (i = 0; i < 8; i++)
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_mul_mont(res, res, p8);
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_mul_mont(res, res, p4);
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_mul_mont(res, res, p2);
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_sqr_mont(res, res);
ecp_nistz256_mul_mont(res, res, in);
memcpy(r, res, sizeof(res));
}
/*
* ecp_nistz256_bignum_to_field_elem copies the contents of |in| to |out| and
* returns one if it fits. Otherwise it returns zero.
*/
__owur static int ecp_nistz256_bignum_to_field_elem(BN_ULONG out[P256_LIMBS],
const BIGNUM *in)
{
return bn_copy_words(out, in, P256_LIMBS);
}
/* r = sum(scalar[i]*point[i]) */
__owur static int ecp_nistz256_windowed_mul(const EC_GROUP *group,
P256_POINT *r,
const BIGNUM **scalar,
const EC_POINT **point,
size_t num, BN_CTX *ctx)
{
size_t i;
int j, ret = 0;
unsigned int idx;
unsigned char (*p_str)[33] = NULL;
const unsigned int window_size = 5;
const unsigned int mask = (1 << (window_size + 1)) - 1;
unsigned int wvalue;
P256_POINT *temp; /* place for 5 temporary points */
const BIGNUM **scalars = NULL;
P256_POINT (*table)[16] = NULL;
void *table_storage = NULL;
if ((num * 16 + 6) > OPENSSL_MALLOC_MAX_NELEMS(P256_POINT)
|| (table_storage =
OPENSSL_malloc((num * 16 + 5) * sizeof(P256_POINT) + 64)) == NULL
|| (p_str =
OPENSSL_malloc(num * 33 * sizeof(unsigned char))) == NULL
|| (scalars = OPENSSL_malloc(num * sizeof(BIGNUM *))) == NULL)
goto err;
table = (void *)ALIGNPTR(table_storage, 64);
temp = (P256_POINT *)(table + num);
for (i = 0; i < num; i++) {
P256_POINT *row = table[i];
/* This is an unusual input, we don't guarantee constant-timeness. */
if ((BN_num_bits(scalar[i]) > 256) || BN_is_negative(scalar[i])) {
BIGNUM *mod;
if ((mod = BN_CTX_get(ctx)) == NULL)
goto err;
if (!BN_nnmod(mod, scalar[i], group->order, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
scalars[i] = mod;
} else
scalars[i] = scalar[i];
for (j = 0; j < bn_get_top(scalars[i]) * BN_BYTES; j += BN_BYTES) {
BN_ULONG d = bn_get_words(scalars[i])[j / BN_BYTES];
p_str[i][j + 0] = (unsigned char)d;
p_str[i][j + 1] = (unsigned char)(d >> 8);
p_str[i][j + 2] = (unsigned char)(d >> 16);
p_str[i][j + 3] = (unsigned char)(d >>= 24);
if (BN_BYTES == 8) {
d >>= 8;
p_str[i][j + 4] = (unsigned char)d;
p_str[i][j + 5] = (unsigned char)(d >> 8);
p_str[i][j + 6] = (unsigned char)(d >> 16);
p_str[i][j + 7] = (unsigned char)(d >> 24);
}
}
for (; j < 33; j++)
p_str[i][j] = 0;
if (!ecp_nistz256_bignum_to_field_elem(temp[0].X, point[i]->X)
|| !ecp_nistz256_bignum_to_field_elem(temp[0].Y, point[i]->Y)
|| !ecp_nistz256_bignum_to_field_elem(temp[0].Z, point[i]->Z)) {
ERR_raise(ERR_LIB_EC, EC_R_COORDINATES_OUT_OF_RANGE);
goto err;
}
/*
* row[0] is implicitly (0,0,0) (the point at infinity), therefore it
* is not stored. All other values are actually stored with an offset
* of -1 in table.
*/
ecp_nistz256_scatter_w5 (row, &temp[0], 1);
ecp_nistz256_point_double(&temp[1], &temp[0]); /*1+1=2 */
ecp_nistz256_scatter_w5 (row, &temp[1], 2);
ecp_nistz256_point_add (&temp[2], &temp[1], &temp[0]); /*2+1=3 */
ecp_nistz256_scatter_w5 (row, &temp[2], 3);
ecp_nistz256_point_double(&temp[1], &temp[1]); /*2*2=4 */
ecp_nistz256_scatter_w5 (row, &temp[1], 4);
ecp_nistz256_point_double(&temp[2], &temp[2]); /*2*3=6 */
ecp_nistz256_scatter_w5 (row, &temp[2], 6);
ecp_nistz256_point_add (&temp[3], &temp[1], &temp[0]); /*4+1=5 */
ecp_nistz256_scatter_w5 (row, &temp[3], 5);
ecp_nistz256_point_add (&temp[4], &temp[2], &temp[0]); /*6+1=7 */
ecp_nistz256_scatter_w5 (row, &temp[4], 7);
ecp_nistz256_point_double(&temp[1], &temp[1]); /*2*4=8 */
ecp_nistz256_scatter_w5 (row, &temp[1], 8);
ecp_nistz256_point_double(&temp[2], &temp[2]); /*2*6=12 */
ecp_nistz256_scatter_w5 (row, &temp[2], 12);
ecp_nistz256_point_double(&temp[3], &temp[3]); /*2*5=10 */
ecp_nistz256_scatter_w5 (row, &temp[3], 10);
ecp_nistz256_point_double(&temp[4], &temp[4]); /*2*7=14 */
ecp_nistz256_scatter_w5 (row, &temp[4], 14);
ecp_nistz256_point_add (&temp[2], &temp[2], &temp[0]); /*12+1=13*/
ecp_nistz256_scatter_w5 (row, &temp[2], 13);
ecp_nistz256_point_add (&temp[3], &temp[3], &temp[0]); /*10+1=11*/
ecp_nistz256_scatter_w5 (row, &temp[3], 11);
ecp_nistz256_point_add (&temp[4], &temp[4], &temp[0]); /*14+1=15*/
ecp_nistz256_scatter_w5 (row, &temp[4], 15);
ecp_nistz256_point_add (&temp[2], &temp[1], &temp[0]); /*8+1=9 */
ecp_nistz256_scatter_w5 (row, &temp[2], 9);
ecp_nistz256_point_double(&temp[1], &temp[1]); /*2*8=16 */
ecp_nistz256_scatter_w5 (row, &temp[1], 16);
}
idx = 255;
wvalue = p_str[0][(idx - 1) / 8];
wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
/*
* We gather to temp[0], because we know it's position relative
* to table
*/
ecp_nistz256_gather_w5(&temp[0], table[0], _booth_recode_w5(wvalue) >> 1);
memcpy(r, &temp[0], sizeof(temp[0]));
while (idx >= 5) {
for (i = (idx == 255 ? 1 : 0); i < num; i++) {
unsigned int off = (idx - 1) / 8;
wvalue = p_str[i][off] | p_str[i][off + 1] << 8;
wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
wvalue = _booth_recode_w5(wvalue);
ecp_nistz256_gather_w5(&temp[0], table[i], wvalue >> 1);
ecp_nistz256_neg(temp[1].Y, temp[0].Y);
copy_conditional(temp[0].Y, temp[1].Y, (wvalue & 1));
ecp_nistz256_point_add(r, r, &temp[0]);
}
idx -= window_size;
ecp_nistz256_point_double(r, r);
ecp_nistz256_point_double(r, r);
ecp_nistz256_point_double(r, r);
ecp_nistz256_point_double(r, r);
ecp_nistz256_point_double(r, r);
}
/* Final window */
for (i = 0; i < num; i++) {
wvalue = p_str[i][0];
wvalue = (wvalue << 1) & mask;
wvalue = _booth_recode_w5(wvalue);
ecp_nistz256_gather_w5(&temp[0], table[i], wvalue >> 1);
ecp_nistz256_neg(temp[1].Y, temp[0].Y);
copy_conditional(temp[0].Y, temp[1].Y, wvalue & 1);
ecp_nistz256_point_add(r, r, &temp[0]);
}
ret = 1;
err:
OPENSSL_free(table_storage);
OPENSSL_free(p_str);
OPENSSL_free(scalars);
return ret;
}
/* Coordinates of G, for which we have precomputed tables */
static const BN_ULONG def_xG[P256_LIMBS] = {
TOBN(0x79e730d4, 0x18a9143c), TOBN(0x75ba95fc, 0x5fedb601),
TOBN(0x79fb732b, 0x77622510), TOBN(0x18905f76, 0xa53755c6)
};
static const BN_ULONG def_yG[P256_LIMBS] = {
TOBN(0xddf25357, 0xce95560a), TOBN(0x8b4ab8e4, 0xba19e45c),
TOBN(0xd2e88688, 0xdd21f325), TOBN(0x8571ff18, 0x25885d85)
};
/*
* ecp_nistz256_is_affine_G returns one if |generator| is the standard, P-256
* generator.
*/
static int ecp_nistz256_is_affine_G(const EC_POINT *generator)
{
return (bn_get_top(generator->X) == P256_LIMBS) &&
(bn_get_top(generator->Y) == P256_LIMBS) &&
is_equal(bn_get_words(generator->X), def_xG) &&
is_equal(bn_get_words(generator->Y), def_yG) &&
is_one(generator->Z);
}
__owur static int ecp_nistz256_mult_precompute(EC_GROUP *group, BN_CTX *ctx)
{
/*
* We precompute a table for a Booth encoded exponent (wNAF) based
* computation. Each table holds 64 values for safe access, with an
* implicit value of infinity at index zero. We use window of size 7, and
* therefore require ceil(256/7) = 37 tables.
*/
const BIGNUM *order;
EC_POINT *P = NULL, *T = NULL;
const EC_POINT *generator;
NISTZ256_PRE_COMP *pre_comp;
BN_CTX *new_ctx = NULL;
int i, j, k, ret = 0;
size_t w;
PRECOMP256_ROW *preComputedTable = NULL;
unsigned char *precomp_storage = NULL;
/* if there is an old NISTZ256_PRE_COMP object, throw it away */
EC_pre_comp_free(group);
generator = EC_GROUP_get0_generator(group);
if (generator == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_UNDEFINED_GENERATOR);
return 0;
}
if (ecp_nistz256_is_affine_G(generator)) {
/*
* No need to calculate tables for the standard generator because we
* have them statically.
*/
return 1;
}
if ((pre_comp = ecp_nistz256_pre_comp_new(group)) == NULL)
return 0;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new_ex(group->libctx);
if (ctx == NULL)
goto err;
}
BN_CTX_start(ctx);
order = EC_GROUP_get0_order(group);
if (order == NULL)
goto err;
if (BN_is_zero(order)) {
ERR_raise(ERR_LIB_EC, EC_R_UNKNOWN_ORDER);
goto err;
}
w = 7;
if ((precomp_storage =
OPENSSL_malloc(37 * 64 * sizeof(P256_POINT_AFFINE) + 64)) == NULL)
goto err;
preComputedTable = (void *)ALIGNPTR(precomp_storage, 64);
P = EC_POINT_new(group);
T = EC_POINT_new(group);
if (P == NULL || T == NULL)
goto err;
/*
* The zero entry is implicitly infinity, and we skip it, storing other
* values with -1 offset.
*/
if (!EC_POINT_copy(T, generator))
goto err;
for (k = 0; k < 64; k++) {
if (!EC_POINT_copy(P, T))
goto err;
for (j = 0; j < 37; j++) {
P256_POINT_AFFINE temp;
/*
* It would be faster to use EC_POINTs_make_affine and
* make multiple points affine at the same time.
*/
if (group->meth->make_affine == NULL
|| !group->meth->make_affine(group, P, ctx))
goto err;
if (!ecp_nistz256_bignum_to_field_elem(temp.X, P->X) ||
!ecp_nistz256_bignum_to_field_elem(temp.Y, P->Y)) {
ERR_raise(ERR_LIB_EC, EC_R_COORDINATES_OUT_OF_RANGE);
goto err;
}
ecp_nistz256_scatter_w7(preComputedTable[j], &temp, k);
for (i = 0; i < 7; i++) {
if (!EC_POINT_dbl(group, P, P, ctx))
goto err;
}
}
if (!EC_POINT_add(group, T, T, generator, ctx))
goto err;
}
pre_comp->group = group;
pre_comp->w = w;
pre_comp->precomp = preComputedTable;
pre_comp->precomp_storage = precomp_storage;
precomp_storage = NULL;
SETPRECOMP(group, nistz256, pre_comp);
pre_comp = NULL;
ret = 1;
err:
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
EC_nistz256_pre_comp_free(pre_comp);
OPENSSL_free(precomp_storage);
EC_POINT_free(P);
EC_POINT_free(T);
return ret;
}
__owur static int ecp_nistz256_set_from_affine(EC_POINT *out, const EC_GROUP *group,
const P256_POINT_AFFINE *in,
BN_CTX *ctx)
{
int ret = 0;
if ((ret = bn_set_words(out->X, in->X, P256_LIMBS))
&& (ret = bn_set_words(out->Y, in->Y, P256_LIMBS))
&& (ret = bn_set_words(out->Z, ONE, P256_LIMBS)))
out->Z_is_one = 1;
return ret;
}
/* r = scalar*G + sum(scalars[i]*points[i]) */
__owur static int ecp_nistz256_points_mul(const EC_GROUP *group,
EC_POINT *r,
const BIGNUM *scalar,
size_t num,
const EC_POINT *points[],
const BIGNUM *scalars[], BN_CTX *ctx)
{
int i = 0, ret = 0, no_precomp_for_generator = 0, p_is_infinity = 0;
unsigned char p_str[33] = { 0 };
const PRECOMP256_ROW *preComputedTable = NULL;
const NISTZ256_PRE_COMP *pre_comp = NULL;
const EC_POINT *generator = NULL;
const BIGNUM **new_scalars = NULL;
const EC_POINT **new_points = NULL;
unsigned int idx = 0;
const unsigned int window_size = 7;
const unsigned int mask = (1 << (window_size + 1)) - 1;
unsigned int wvalue;
ALIGN32 union {
P256_POINT p;
P256_POINT_AFFINE a;
} t, p;
BIGNUM *tmp_scalar;
if ((num + 1) == 0 || (num + 1) > OPENSSL_MALLOC_MAX_NELEMS(void *)) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_INVALID_ARGUMENT);
return 0;
}
memset(&p, 0, sizeof(p));
BN_CTX_start(ctx);
if (scalar) {
generator = EC_GROUP_get0_generator(group);
if (generator == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_UNDEFINED_GENERATOR);
goto err;
}
/* look if we can use precomputed multiples of generator */
pre_comp = group->pre_comp.nistz256;
if (pre_comp) {
/*
* If there is a precomputed table for the generator, check that
* it was generated with the same generator.
*/
EC_POINT *pre_comp_generator = EC_POINT_new(group);
if (pre_comp_generator == NULL)
goto err;
ecp_nistz256_gather_w7(&p.a, pre_comp->precomp[0], 1);
if (!ecp_nistz256_set_from_affine(pre_comp_generator,
group, &p.a, ctx)) {
EC_POINT_free(pre_comp_generator);
goto err;
}
if (0 == EC_POINT_cmp(group, generator, pre_comp_generator, ctx))
preComputedTable = (const PRECOMP256_ROW *)pre_comp->precomp;
EC_POINT_free(pre_comp_generator);
}
if (preComputedTable == NULL && ecp_nistz256_is_affine_G(generator)) {
/*
* If there is no precomputed data, but the generator is the
* default, a hardcoded table of precomputed data is used. This
* is because applications, such as Apache, do not use
* EC_KEY_precompute_mult.
*/
preComputedTable = ecp_nistz256_precomputed;
}
if (preComputedTable) {
BN_ULONG infty;
if ((BN_num_bits(scalar) > 256)
|| BN_is_negative(scalar)) {
if ((tmp_scalar = BN_CTX_get(ctx)) == NULL)
goto err;
if (!BN_nnmod(tmp_scalar, scalar, group->order, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
scalar = tmp_scalar;
}
for (i = 0; i < bn_get_top(scalar) * BN_BYTES; i += BN_BYTES) {
BN_ULONG d = bn_get_words(scalar)[i / BN_BYTES];
p_str[i + 0] = (unsigned char)d;
p_str[i + 1] = (unsigned char)(d >> 8);
p_str[i + 2] = (unsigned char)(d >> 16);
p_str[i + 3] = (unsigned char)(d >>= 24);
if (BN_BYTES == 8) {
d >>= 8;
p_str[i + 4] = (unsigned char)d;
p_str[i + 5] = (unsigned char)(d >> 8);
p_str[i + 6] = (unsigned char)(d >> 16);
p_str[i + 7] = (unsigned char)(d >> 24);
}
}
for (; i < 33; i++)
p_str[i] = 0;
/* First window */
wvalue = (p_str[0] << 1) & mask;
idx += window_size;
wvalue = _booth_recode_w7(wvalue);
ecp_nistz256_gather_w7(&p.a, preComputedTable[0],
wvalue >> 1);
ecp_nistz256_neg(p.p.Z, p.p.Y);
copy_conditional(p.p.Y, p.p.Z, wvalue & 1);
/*
* Since affine infinity is encoded as (0,0) and
* Jacobian is (,,0), we need to harmonize them
* by assigning "one" or zero to Z.
*/
infty = (p.p.X[0] | p.p.X[1] | p.p.X[2] | p.p.X[3] |
p.p.Y[0] | p.p.Y[1] | p.p.Y[2] | p.p.Y[3]);
if (P256_LIMBS == 8)
infty |= (p.p.X[4] | p.p.X[5] | p.p.X[6] | p.p.X[7] |
p.p.Y[4] | p.p.Y[5] | p.p.Y[6] | p.p.Y[7]);
infty = 0 - is_zero(infty);
infty = ~infty;
p.p.Z[0] = ONE[0] & infty;
p.p.Z[1] = ONE[1] & infty;
p.p.Z[2] = ONE[2] & infty;
p.p.Z[3] = ONE[3] & infty;
if (P256_LIMBS == 8) {
p.p.Z[4] = ONE[4] & infty;
p.p.Z[5] = ONE[5] & infty;
p.p.Z[6] = ONE[6] & infty;
p.p.Z[7] = ONE[7] & infty;
}
for (i = 1; i < 37; i++) {
unsigned int off = (idx - 1) / 8;
wvalue = p_str[off] | p_str[off + 1] << 8;
wvalue = (wvalue >> ((idx - 1) % 8)) & mask;
idx += window_size;
wvalue = _booth_recode_w7(wvalue);
ecp_nistz256_gather_w7(&t.a,
preComputedTable[i], wvalue >> 1);
ecp_nistz256_neg(t.p.Z, t.a.Y);
copy_conditional(t.a.Y, t.p.Z, wvalue & 1);
ecp_nistz256_point_add_affine(&p.p, &p.p, &t.a);
}
} else {
p_is_infinity = 1;
no_precomp_for_generator = 1;
}
} else
p_is_infinity = 1;
if (no_precomp_for_generator) {
/*
* Without a precomputed table for the generator, it has to be
* handled like a normal point.
*/
new_scalars = OPENSSL_malloc((num + 1) * sizeof(BIGNUM *));
if (new_scalars == NULL)
goto err;
new_points = OPENSSL_malloc((num + 1) * sizeof(EC_POINT *));
if (new_points == NULL)
goto err;
memcpy(new_scalars, scalars, num * sizeof(BIGNUM *));
new_scalars[num] = scalar;
memcpy(new_points, points, num * sizeof(EC_POINT *));
new_points[num] = generator;
scalars = new_scalars;
points = new_points;
num++;
}
if (num) {
P256_POINT *out = &t.p;
if (p_is_infinity)
out = &p.p;
if (!ecp_nistz256_windowed_mul(group, out, scalars, points, num, ctx))
goto err;
if (!p_is_infinity)
ecp_nistz256_point_add(&p.p, &p.p, out);
}
/* Not constant-time, but we're only operating on the public output. */
if (!bn_set_words(r->X, p.p.X, P256_LIMBS) ||
!bn_set_words(r->Y, p.p.Y, P256_LIMBS) ||
!bn_set_words(r->Z, p.p.Z, P256_LIMBS)) {
goto err;
}
r->Z_is_one = is_one(r->Z) & 1;
ret = 1;
err:
BN_CTX_end(ctx);
OPENSSL_free(new_points);
OPENSSL_free(new_scalars);
return ret;
}
__owur static int ecp_nistz256_get_affine(const EC_GROUP *group,
const EC_POINT *point,
BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
{
BN_ULONG z_inv2[P256_LIMBS];
BN_ULONG z_inv3[P256_LIMBS];
BN_ULONG x_aff[P256_LIMBS];
BN_ULONG y_aff[P256_LIMBS];
BN_ULONG point_x[P256_LIMBS], point_y[P256_LIMBS], point_z[P256_LIMBS];
BN_ULONG x_ret[P256_LIMBS], y_ret[P256_LIMBS];
if (EC_POINT_is_at_infinity(group, point)) {
ERR_raise(ERR_LIB_EC, EC_R_POINT_AT_INFINITY);
return 0;
}
if (!ecp_nistz256_bignum_to_field_elem(point_x, point->X) ||
!ecp_nistz256_bignum_to_field_elem(point_y, point->Y) ||
!ecp_nistz256_bignum_to_field_elem(point_z, point->Z)) {
ERR_raise(ERR_LIB_EC, EC_R_COORDINATES_OUT_OF_RANGE);
return 0;
}
ecp_nistz256_mod_inverse(z_inv3, point_z);
ecp_nistz256_sqr_mont(z_inv2, z_inv3);
ecp_nistz256_mul_mont(x_aff, z_inv2, point_x);
if (x != NULL) {
ecp_nistz256_from_mont(x_ret, x_aff);
if (!bn_set_words(x, x_ret, P256_LIMBS))
return 0;
}
if (y != NULL) {
ecp_nistz256_mul_mont(z_inv3, z_inv3, z_inv2);
ecp_nistz256_mul_mont(y_aff, z_inv3, point_y);
ecp_nistz256_from_mont(y_ret, y_aff);
if (!bn_set_words(y, y_ret, P256_LIMBS))
return 0;
}
return 1;
}
static NISTZ256_PRE_COMP *ecp_nistz256_pre_comp_new(const EC_GROUP *group)
{
NISTZ256_PRE_COMP *ret = NULL;
if (!group)
return NULL;
ret = OPENSSL_zalloc(sizeof(*ret));
if (ret == NULL)
return ret;
ret->group = group;
ret->w = 6; /* default */
if (!CRYPTO_NEW_REF(&ret->references, 1)) {
OPENSSL_free(ret);
return NULL;
}
return ret;
}
NISTZ256_PRE_COMP *EC_nistz256_pre_comp_dup(NISTZ256_PRE_COMP *p)
{
int i;
if (p != NULL)
CRYPTO_UP_REF(&p->references, &i);
return p;
}
void EC_nistz256_pre_comp_free(NISTZ256_PRE_COMP *pre)
{
int i;
if (pre == NULL)
return;
CRYPTO_DOWN_REF(&pre->references, &i);
REF_PRINT_COUNT("EC_nistz256", pre);
if (i > 0)
return;
REF_ASSERT_ISNT(i < 0);
OPENSSL_free(pre->precomp_storage);
CRYPTO_FREE_REF(&pre->references);
OPENSSL_free(pre);
}
static int ecp_nistz256_window_have_precompute_mult(const EC_GROUP *group)
{
/* There is a hard-coded table for the default generator. */
const EC_POINT *generator = EC_GROUP_get0_generator(group);
if (generator != NULL && ecp_nistz256_is_affine_G(generator)) {
/* There is a hard-coded table for the default generator. */
return 1;
}
return HAVEPRECOMP(group, nistz256);
}
#if defined(__x86_64) || defined(__x86_64__) || \
defined(_M_AMD64) || defined(_M_X64) || \
defined(__powerpc64__) || defined(_ARCH_PP64) || \
defined(__aarch64__)
/*
* Montgomery mul modulo Order(P): res = a*b*2^-256 mod Order(P)
*/
void ecp_nistz256_ord_mul_mont(BN_ULONG res[P256_LIMBS],
const BN_ULONG a[P256_LIMBS],
const BN_ULONG b[P256_LIMBS]);
void ecp_nistz256_ord_sqr_mont(BN_ULONG res[P256_LIMBS],
const BN_ULONG a[P256_LIMBS],
BN_ULONG rep);
static int ecp_nistz256_inv_mod_ord(const EC_GROUP *group, BIGNUM *r,
const BIGNUM *x, BN_CTX *ctx)
{
/* RR = 2^512 mod ord(p256) */
static const BN_ULONG RR[P256_LIMBS] = {
TOBN(0x83244c95,0xbe79eea2), TOBN(0x4699799c,0x49bd6fa6),
TOBN(0x2845b239,0x2b6bec59), TOBN(0x66e12d94,0xf3d95620)
};
/* The constant 1 (unlike ONE that is one in Montgomery representation) */
static const BN_ULONG one[P256_LIMBS] = {
TOBN(0,1), TOBN(0,0), TOBN(0,0), TOBN(0,0)
};
/*
* We don't use entry 0 in the table, so we omit it and address
* with -1 offset.
*/
BN_ULONG table[15][P256_LIMBS];
BN_ULONG out[P256_LIMBS], t[P256_LIMBS];
int i, ret = 0;
enum {
i_1 = 0, i_10, i_11, i_101, i_111, i_1010, i_1111,
i_10101, i_101010, i_101111, i_x6, i_x8, i_x16, i_x32
};
/*
* Catch allocation failure early.
*/
if (bn_wexpand(r, P256_LIMBS) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if ((BN_num_bits(x) > 256) || BN_is_negative(x)) {
BIGNUM *tmp;
if ((tmp = BN_CTX_get(ctx)) == NULL
|| !BN_nnmod(tmp, x, group->order, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
x = tmp;
}
if (!ecp_nistz256_bignum_to_field_elem(t, x)) {
ERR_raise(ERR_LIB_EC, EC_R_COORDINATES_OUT_OF_RANGE);
goto err;
}
ecp_nistz256_ord_mul_mont(table[0], t, RR);
#if 0
/*
* Original sparse-then-fixed-window algorithm, retained for reference.
*/
for (i = 2; i < 16; i += 2) {
ecp_nistz256_ord_sqr_mont(table[i-1], table[i/2-1], 1);
ecp_nistz256_ord_mul_mont(table[i], table[i-1], table[0]);
}
/*
* The top 128bit of the exponent are highly redudndant, so we
* perform an optimized flow
*/
ecp_nistz256_ord_sqr_mont(t, table[15-1], 4); /* f0 */
ecp_nistz256_ord_mul_mont(t, t, table[15-1]); /* ff */
ecp_nistz256_ord_sqr_mont(out, t, 8); /* ff00 */
ecp_nistz256_ord_mul_mont(out, out, t); /* ffff */
ecp_nistz256_ord_sqr_mont(t, out, 16); /* ffff0000 */
ecp_nistz256_ord_mul_mont(t, t, out); /* ffffffff */
ecp_nistz256_ord_sqr_mont(out, t, 64); /* ffffffff0000000000000000 */
ecp_nistz256_ord_mul_mont(out, out, t); /* ffffffff00000000ffffffff */
ecp_nistz256_ord_sqr_mont(out, out, 32); /* ffffffff00000000ffffffff00000000 */
ecp_nistz256_ord_mul_mont(out, out, t); /* ffffffff00000000ffffffffffffffff */
/*
* The bottom 128 bit of the exponent are processed with fixed 4-bit window
*/
for (i = 0; i < 32; i++) {
/* expLo - the low 128 bits of the exponent we use (ord(p256) - 2),
* split into nibbles */
static const unsigned char expLo[32] = {
0xb,0xc,0xe,0x6,0xf,0xa,0xa,0xd,0xa,0x7,0x1,0x7,0x9,0xe,0x8,0x4,
0xf,0x3,0xb,0x9,0xc,0xa,0xc,0x2,0xf,0xc,0x6,0x3,0x2,0x5,0x4,0xf
};
ecp_nistz256_ord_sqr_mont(out, out, 4);
/* The exponent is public, no need in constant-time access */
ecp_nistz256_ord_mul_mont(out, out, table[expLo[i]-1]);
}
#else
/*
* https://briansmith.org/ecc-inversion-addition-chains-01#p256_scalar_inversion
*
* Even though this code path spares 12 squarings, 4.5%, and 13
* multiplications, 25%, on grand scale sign operation is not that
* much faster, not more that 2%...
*/
/* pre-calculate powers */
ecp_nistz256_ord_sqr_mont(table[i_10], table[i_1], 1);
ecp_nistz256_ord_mul_mont(table[i_11], table[i_1], table[i_10]);
ecp_nistz256_ord_mul_mont(table[i_101], table[i_11], table[i_10]);
ecp_nistz256_ord_mul_mont(table[i_111], table[i_101], table[i_10]);
ecp_nistz256_ord_sqr_mont(table[i_1010], table[i_101], 1);
ecp_nistz256_ord_mul_mont(table[i_1111], table[i_1010], table[i_101]);
ecp_nistz256_ord_sqr_mont(table[i_10101], table[i_1010], 1);
ecp_nistz256_ord_mul_mont(table[i_10101], table[i_10101], table[i_1]);
ecp_nistz256_ord_sqr_mont(table[i_101010], table[i_10101], 1);
ecp_nistz256_ord_mul_mont(table[i_101111], table[i_101010], table[i_101]);
ecp_nistz256_ord_mul_mont(table[i_x6], table[i_101010], table[i_10101]);
ecp_nistz256_ord_sqr_mont(table[i_x8], table[i_x6], 2);
ecp_nistz256_ord_mul_mont(table[i_x8], table[i_x8], table[i_11]);
ecp_nistz256_ord_sqr_mont(table[i_x16], table[i_x8], 8);
ecp_nistz256_ord_mul_mont(table[i_x16], table[i_x16], table[i_x8]);
ecp_nistz256_ord_sqr_mont(table[i_x32], table[i_x16], 16);
ecp_nistz256_ord_mul_mont(table[i_x32], table[i_x32], table[i_x16]);
/* calculations */
ecp_nistz256_ord_sqr_mont(out, table[i_x32], 64);
ecp_nistz256_ord_mul_mont(out, out, table[i_x32]);
for (i = 0; i < 27; i++) {
static const struct { unsigned char p, i; } chain[27] = {
{ 32, i_x32 }, { 6, i_101111 }, { 5, i_111 },
{ 4, i_11 }, { 5, i_1111 }, { 5, i_10101 },
{ 4, i_101 }, { 3, i_101 }, { 3, i_101 },
{ 5, i_111 }, { 9, i_101111 }, { 6, i_1111 },
{ 2, i_1 }, { 5, i_1 }, { 6, i_1111 },
{ 5, i_111 }, { 4, i_111 }, { 5, i_111 },
{ 5, i_101 }, { 3, i_11 }, { 10, i_101111 },
{ 2, i_11 }, { 5, i_11 }, { 5, i_11 },
{ 3, i_1 }, { 7, i_10101 }, { 6, i_1111 }
};
ecp_nistz256_ord_sqr_mont(out, out, chain[i].p);
ecp_nistz256_ord_mul_mont(out, out, table[chain[i].i]);
}
#endif
ecp_nistz256_ord_mul_mont(out, out, one);
/*
* Can't fail, but check return code to be consistent anyway.
*/
if (!bn_set_words(r, out, P256_LIMBS))
goto err;
ret = 1;
err:
return ret;
}
#else
# define ecp_nistz256_inv_mod_ord NULL
#endif
const EC_METHOD *EC_GFp_nistz256_method(void)
{
static const EC_METHOD ret = {
EC_FLAGS_DEFAULT_OCT,
NID_X9_62_prime_field,
ossl_ec_GFp_mont_group_init,
ossl_ec_GFp_mont_group_finish,
ossl_ec_GFp_mont_group_clear_finish,
ossl_ec_GFp_mont_group_copy,
ossl_ec_GFp_mont_group_set_curve,
ossl_ec_GFp_simple_group_get_curve,
ossl_ec_GFp_simple_group_get_degree,
ossl_ec_group_simple_order_bits,
ossl_ec_GFp_simple_group_check_discriminant,
ossl_ec_GFp_simple_point_init,
ossl_ec_GFp_simple_point_finish,
ossl_ec_GFp_simple_point_clear_finish,
ossl_ec_GFp_simple_point_copy,
ossl_ec_GFp_simple_point_set_to_infinity,
ossl_ec_GFp_simple_point_set_affine_coordinates,
ecp_nistz256_get_affine,
0, 0, 0,
ossl_ec_GFp_simple_add,
ossl_ec_GFp_simple_dbl,
ossl_ec_GFp_simple_invert,
ossl_ec_GFp_simple_is_at_infinity,
ossl_ec_GFp_simple_is_on_curve,
ossl_ec_GFp_simple_cmp,
ossl_ec_GFp_simple_make_affine,
ossl_ec_GFp_simple_points_make_affine,
ecp_nistz256_points_mul, /* mul */
ecp_nistz256_mult_precompute, /* precompute_mult */
ecp_nistz256_window_have_precompute_mult, /* have_precompute_mult */
ossl_ec_GFp_mont_field_mul,
ossl_ec_GFp_mont_field_sqr,
0, /* field_div */
ossl_ec_GFp_mont_field_inv,
ossl_ec_GFp_mont_field_encode,
ossl_ec_GFp_mont_field_decode,
ossl_ec_GFp_mont_field_set_to_one,
ossl_ec_key_simple_priv2oct,
ossl_ec_key_simple_oct2priv,
0, /* set private */
ossl_ec_key_simple_generate_key,
ossl_ec_key_simple_check_key,
ossl_ec_key_simple_generate_public_key,
0, /* keycopy */
0, /* keyfinish */
ossl_ecdh_simple_compute_key,
ossl_ecdsa_simple_sign_setup,
ossl_ecdsa_simple_sign_sig,
ossl_ecdsa_simple_verify_sig,
ecp_nistz256_inv_mod_ord, /* can be #define-d NULL */
0, /* blind_coordinates */
0, /* ladder_pre */
0, /* ladder_step */
0 /* ladder_post */
};
return &ret;
}
|
./openssl/crypto/ec/ecx_s390x.c | /*
* Copyright 2006-2020 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/ec.h>
#include <openssl/rand.h>
#include "crypto/ecx.h"
#include "ec_local.h"
#include "curve448/curve448_local.h"
#include "ecx_backend.h"
#include "s390x_arch.h"
#include "internal/constant_time.h"
static void s390x_x25519_mod_p(unsigned char u[32])
{
unsigned char u_red[32];
unsigned int c = 0;
int i;
memcpy(u_red, u, sizeof(u_red));
c += (unsigned int)u_red[31] + 19;
u_red[31] = (unsigned char)c;
c >>= 8;
for (i = 30; i >= 0; i--) {
c += (unsigned int)u_red[i];
u_red[i] = (unsigned char)c;
c >>= 8;
}
c = (u_red[0] & 0x80) >> 7;
u_red[0] &= 0x7f;
constant_time_cond_swap_buff(0 - (unsigned char)c,
u, u_red, sizeof(u_red));
}
static void s390x_x448_mod_p(unsigned char u[56])
{
unsigned char u_red[56];
unsigned int c = 0;
int i;
memcpy(u_red, u, sizeof(u_red));
c += (unsigned int)u_red[55] + 1;
u_red[55] = (unsigned char)c;
c >>= 8;
for (i = 54; i >= 28; i--) {
c += (unsigned int)u_red[i];
u_red[i] = (unsigned char)c;
c >>= 8;
}
c += (unsigned int)u_red[27] + 1;
u_red[27] = (unsigned char)c;
c >>= 8;
for (i = 26; i >= 0; i--) {
c += (unsigned int)u_red[i];
u_red[i] = (unsigned char)c;
c >>= 8;
}
constant_time_cond_swap_buff(0 - (unsigned char)c,
u, u_red, sizeof(u_red));
}
int s390x_x25519_mul(unsigned char u_dst[32],
const unsigned char u_src[32],
const unsigned char d_src[32])
{
union {
struct {
unsigned char u_dst[32];
unsigned char u_src[32];
unsigned char d_src[32];
} x25519;
unsigned long long buff[512];
} param;
int rc;
memset(¶m, 0, sizeof(param));
s390x_flip_endian32(param.x25519.u_src, u_src);
param.x25519.u_src[0] &= 0x7f;
s390x_x25519_mod_p(param.x25519.u_src);
s390x_flip_endian32(param.x25519.d_src, d_src);
param.x25519.d_src[31] &= 248;
param.x25519.d_src[0] &= 127;
param.x25519.d_src[0] |= 64;
rc = s390x_pcc(S390X_SCALAR_MULTIPLY_X25519, ¶m.x25519) ? 0 : 1;
if (rc == 1)
s390x_flip_endian32(u_dst, param.x25519.u_dst);
OPENSSL_cleanse(param.x25519.d_src, sizeof(param.x25519.d_src));
return rc;
}
int s390x_x448_mul(unsigned char u_dst[56],
const unsigned char u_src[56],
const unsigned char d_src[56])
{
union {
struct {
unsigned char u_dst[64];
unsigned char u_src[64];
unsigned char d_src[64];
} x448;
unsigned long long buff[512];
} param;
int rc;
memset(¶m, 0, sizeof(param));
memcpy(param.x448.u_src, u_src, 56);
memcpy(param.x448.d_src, d_src, 56);
s390x_flip_endian64(param.x448.u_src, param.x448.u_src);
s390x_x448_mod_p(param.x448.u_src + 8);
s390x_flip_endian64(param.x448.d_src, param.x448.d_src);
param.x448.d_src[63] &= 252;
param.x448.d_src[8] |= 128;
rc = s390x_pcc(S390X_SCALAR_MULTIPLY_X448, ¶m.x448) ? 0 : 1;
if (rc == 1) {
s390x_flip_endian64(param.x448.u_dst, param.x448.u_dst);
memcpy(u_dst, param.x448.u_dst, 56);
}
OPENSSL_cleanse(param.x448.d_src, sizeof(param.x448.d_src));
return rc;
}
int s390x_ed25519_mul(unsigned char x_dst[32],
unsigned char y_dst[32],
const unsigned char x_src[32],
const unsigned char y_src[32],
const unsigned char d_src[32])
{
union {
struct {
unsigned char x_dst[32];
unsigned char y_dst[32];
unsigned char x_src[32];
unsigned char y_src[32];
unsigned char d_src[32];
} ed25519;
unsigned long long buff[512];
} param;
int rc;
memset(¶m, 0, sizeof(param));
s390x_flip_endian32(param.ed25519.x_src, x_src);
s390x_flip_endian32(param.ed25519.y_src, y_src);
s390x_flip_endian32(param.ed25519.d_src, d_src);
rc = s390x_pcc(S390X_SCALAR_MULTIPLY_ED25519, ¶m.ed25519) ? 0 : 1;
if (rc == 1) {
s390x_flip_endian32(x_dst, param.ed25519.x_dst);
s390x_flip_endian32(y_dst, param.ed25519.y_dst);
}
OPENSSL_cleanse(param.ed25519.d_src, sizeof(param.ed25519.d_src));
return rc;
}
int s390x_ed448_mul(unsigned char x_dst[57],
unsigned char y_dst[57],
const unsigned char x_src[57],
const unsigned char y_src[57],
const unsigned char d_src[57])
{
union {
struct {
unsigned char x_dst[64];
unsigned char y_dst[64];
unsigned char x_src[64];
unsigned char y_src[64];
unsigned char d_src[64];
} ed448;
unsigned long long buff[512];
} param;
int rc;
memset(¶m, 0, sizeof(param));
memcpy(param.ed448.x_src, x_src, 57);
memcpy(param.ed448.y_src, y_src, 57);
memcpy(param.ed448.d_src, d_src, 57);
s390x_flip_endian64(param.ed448.x_src, param.ed448.x_src);
s390x_flip_endian64(param.ed448.y_src, param.ed448.y_src);
s390x_flip_endian64(param.ed448.d_src, param.ed448.d_src);
rc = s390x_pcc(S390X_SCALAR_MULTIPLY_ED448, ¶m.ed448) ? 0 : 1;
if (rc == 1) {
s390x_flip_endian64(param.ed448.x_dst, param.ed448.x_dst);
s390x_flip_endian64(param.ed448.y_dst, param.ed448.y_dst);
memcpy(x_dst, param.ed448.x_dst, 57);
memcpy(y_dst, param.ed448.y_dst, 57);
}
OPENSSL_cleanse(param.ed448.d_src, sizeof(param.ed448.d_src));
return rc;
}
|
./openssl/crypto/ec/eck_prn.c | /*
* Copyright 2006-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include "internal/deprecated.h"
#include <stdio.h>
#include "internal/cryptlib.h"
#include <openssl/evp.h>
#include <openssl/ec.h>
#include <openssl/bn.h>
#ifndef OPENSSL_NO_DEPRECATED_3_0
# ifndef OPENSSL_NO_STDIO
int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off)
{
BIO *b;
int ret;
if ((b = BIO_new(BIO_s_file())) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BUF_LIB);
return 0;
}
BIO_set_fp(b, fp, BIO_NOCLOSE);
ret = ECPKParameters_print(b, x, off);
BIO_free(b);
return ret;
}
int EC_KEY_print_fp(FILE *fp, const EC_KEY *x, int off)
{
BIO *b;
int ret;
if ((b = BIO_new(BIO_s_file())) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BIO_LIB);
return 0;
}
BIO_set_fp(b, fp, BIO_NOCLOSE);
ret = EC_KEY_print(b, x, off);
BIO_free(b);
return ret;
}
int ECParameters_print_fp(FILE *fp, const EC_KEY *x)
{
BIO *b;
int ret;
if ((b = BIO_new(BIO_s_file())) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BIO_LIB);
return 0;
}
BIO_set_fp(b, fp, BIO_NOCLOSE);
ret = ECParameters_print(b, x);
BIO_free(b);
return ret;
}
#endif /* OPENSSL_NO_STDIO */
static int print_bin(BIO *fp, const char *str, const unsigned char *num,
size_t len, int off);
int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off)
{
int ret = 0, reason = ERR_R_BIO_LIB;
BN_CTX *ctx = NULL;
const EC_POINT *point = NULL;
BIGNUM *p = NULL, *a = NULL, *b = NULL;
unsigned char *gen_buf = NULL;
const BIGNUM *order = NULL, *cofactor = NULL;
const unsigned char *seed;
size_t seed_len = 0, gen_buf_len = 0;
static const char *gen_compressed = "Generator (compressed):";
static const char *gen_uncompressed = "Generator (uncompressed):";
static const char *gen_hybrid = "Generator (hybrid):";
if (!x) {
reason = ERR_R_PASSED_NULL_PARAMETER;
goto err;
}
ctx = BN_CTX_new();
if (ctx == NULL) {
reason = ERR_R_BN_LIB;
goto err;
}
if (EC_GROUP_get_asn1_flag(x)) {
/* the curve parameter are given by an asn1 OID */
int nid;
const char *nname;
if (!BIO_indent(bp, off, 128))
goto err;
nid = EC_GROUP_get_curve_name(x);
if (nid == 0)
goto err;
if (BIO_printf(bp, "ASN1 OID: %s", OBJ_nid2sn(nid)) <= 0)
goto err;
if (BIO_printf(bp, "\n") <= 0)
goto err;
nname = EC_curve_nid2nist(nid);
if (nname) {
if (!BIO_indent(bp, off, 128))
goto err;
if (BIO_printf(bp, "NIST CURVE: %s\n", nname) <= 0)
goto err;
}
} else {
const char *form_str;
/* explicit parameters */
int is_char_two = 0;
point_conversion_form_t form;
int tmp_nid = EC_GROUP_get_field_type(x);
if (tmp_nid == NID_X9_62_characteristic_two_field)
is_char_two = 1;
if ((p = BN_new()) == NULL || (a = BN_new()) == NULL ||
(b = BN_new()) == NULL) {
reason = ERR_R_BN_LIB;
goto err;
}
if (!EC_GROUP_get_curve(x, p, a, b, ctx)) {
reason = ERR_R_EC_LIB;
goto err;
}
if ((point = EC_GROUP_get0_generator(x)) == NULL) {
reason = ERR_R_EC_LIB;
goto err;
}
order = EC_GROUP_get0_order(x);
cofactor = EC_GROUP_get0_cofactor(x);
if (order == NULL) {
reason = ERR_R_EC_LIB;
goto err;
}
form = EC_GROUP_get_point_conversion_form(x);
gen_buf_len = EC_POINT_point2buf(x, point, form, &gen_buf, ctx);
if (gen_buf_len == 0) {
reason = ERR_R_EC_LIB;
goto err;
}
if ((seed = EC_GROUP_get0_seed(x)) != NULL)
seed_len = EC_GROUP_get_seed_len(x);
if (!BIO_indent(bp, off, 128))
goto err;
/* print the 'short name' of the field type */
if (BIO_printf(bp, "Field Type: %s\n", OBJ_nid2sn(tmp_nid))
<= 0)
goto err;
if (is_char_two) {
/* print the 'short name' of the base type OID */
int basis_type = EC_GROUP_get_basis_type(x);
if (basis_type == 0)
goto err;
if (!BIO_indent(bp, off, 128))
goto err;
if (BIO_printf(bp, "Basis Type: %s\n",
OBJ_nid2sn(basis_type)) <= 0)
goto err;
/* print the polynomial */
if ((p != NULL) && !ASN1_bn_print(bp, "Polynomial:", p, NULL,
off))
goto err;
} else {
if ((p != NULL) && !ASN1_bn_print(bp, "Prime:", p, NULL, off))
goto err;
}
if ((a != NULL) && !ASN1_bn_print(bp, "A: ", a, NULL, off))
goto err;
if ((b != NULL) && !ASN1_bn_print(bp, "B: ", b, NULL, off))
goto err;
if (form == POINT_CONVERSION_COMPRESSED)
form_str = gen_compressed;
else if (form == POINT_CONVERSION_UNCOMPRESSED)
form_str = gen_uncompressed;
else
form_str = gen_hybrid;
if (gen_buf != NULL
&& !print_bin(bp, form_str, gen_buf, gen_buf_len, off))
goto err;
if ((order != NULL) && !ASN1_bn_print(bp, "Order: ", order, NULL, off))
goto err;
if ((cofactor != NULL) && !ASN1_bn_print(bp, "Cofactor: ", cofactor,
NULL, off))
goto err;
if (seed && !print_bin(bp, "Seed:", seed, seed_len, off))
goto err;
}
ret = 1;
err:
if (!ret)
ERR_raise(ERR_LIB_EC, reason);
BN_free(p);
BN_free(a);
BN_free(b);
OPENSSL_clear_free(gen_buf, gen_buf_len);
BN_CTX_free(ctx);
return ret;
}
static int print_bin(BIO *fp, const char *name, const unsigned char *buf,
size_t len, int off)
{
size_t i;
char str[128 + 1 + 4];
if (buf == NULL)
return 1;
if (off > 0) {
if (off > 128)
off = 128;
memset(str, ' ', off);
if (BIO_write(fp, str, off) <= 0)
return 0;
} else {
off = 0;
}
if (BIO_printf(fp, "%s", name) <= 0)
return 0;
for (i = 0; i < len; i++) {
if ((i % 15) == 0) {
str[0] = '\n';
memset(&(str[1]), ' ', off + 4);
if (BIO_write(fp, str, off + 1 + 4) <= 0)
return 0;
}
if (BIO_printf(fp, "%02x%s", buf[i], ((i + 1) == len) ? "" : ":") <=
0)
return 0;
}
if (BIO_write(fp, "\n", 1) <= 0)
return 0;
return 1;
}
#endif /* OPENSSL_NO_DEPRECATED_3_0 */
|
./openssl/crypto/ec/ecp_nistp521.c | /*
* Copyright 2011-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/* Copyright 2011 Google Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
*
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
/*
* A 64-bit implementation of the NIST P-521 elliptic curve point multiplication
*
* OpenSSL integration was taken from Emilia Kasper's work in ecp_nistp224.c.
* Otherwise based on Emilia's P224 work, which was inspired by my curve25519
* work which got its smarts from Daniel J. Bernstein's work on the same.
*/
#include <openssl/e_os2.h>
#include <string.h>
#include <openssl/err.h>
#include "ec_local.h"
#include "internal/numbers.h"
#ifndef INT128_MAX
# error "Your compiler doesn't appear to support 128-bit integer types"
#endif
typedef uint8_t u8;
typedef uint64_t u64;
/*
* The underlying field. P521 operates over GF(2^521-1). We can serialize an
* element of this field into 66 bytes where the most significant byte
* contains only a single bit. We call this an felem_bytearray.
*/
typedef u8 felem_bytearray[66];
/*
* These are the parameters of P521, taken from FIPS 186-3, section D.1.2.5.
* These values are big-endian.
*/
static const felem_bytearray nistp521_curve_params[5] = {
{0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, /* p */
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff},
{0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, /* a = -3 */
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xfc},
{0x00, 0x51, 0x95, 0x3e, 0xb9, 0x61, 0x8e, 0x1c, /* b */
0x9a, 0x1f, 0x92, 0x9a, 0x21, 0xa0, 0xb6, 0x85,
0x40, 0xee, 0xa2, 0xda, 0x72, 0x5b, 0x99, 0xb3,
0x15, 0xf3, 0xb8, 0xb4, 0x89, 0x91, 0x8e, 0xf1,
0x09, 0xe1, 0x56, 0x19, 0x39, 0x51, 0xec, 0x7e,
0x93, 0x7b, 0x16, 0x52, 0xc0, 0xbd, 0x3b, 0xb1,
0xbf, 0x07, 0x35, 0x73, 0xdf, 0x88, 0x3d, 0x2c,
0x34, 0xf1, 0xef, 0x45, 0x1f, 0xd4, 0x6b, 0x50,
0x3f, 0x00},
{0x00, 0xc6, 0x85, 0x8e, 0x06, 0xb7, 0x04, 0x04, /* x */
0xe9, 0xcd, 0x9e, 0x3e, 0xcb, 0x66, 0x23, 0x95,
0xb4, 0x42, 0x9c, 0x64, 0x81, 0x39, 0x05, 0x3f,
0xb5, 0x21, 0xf8, 0x28, 0xaf, 0x60, 0x6b, 0x4d,
0x3d, 0xba, 0xa1, 0x4b, 0x5e, 0x77, 0xef, 0xe7,
0x59, 0x28, 0xfe, 0x1d, 0xc1, 0x27, 0xa2, 0xff,
0xa8, 0xde, 0x33, 0x48, 0xb3, 0xc1, 0x85, 0x6a,
0x42, 0x9b, 0xf9, 0x7e, 0x7e, 0x31, 0xc2, 0xe5,
0xbd, 0x66},
{0x01, 0x18, 0x39, 0x29, 0x6a, 0x78, 0x9a, 0x3b, /* y */
0xc0, 0x04, 0x5c, 0x8a, 0x5f, 0xb4, 0x2c, 0x7d,
0x1b, 0xd9, 0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b,
0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17, 0x27, 0x3e,
0x66, 0x2c, 0x97, 0xee, 0x72, 0x99, 0x5e, 0xf4,
0x26, 0x40, 0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad,
0x07, 0x61, 0x35, 0x3c, 0x70, 0x86, 0xa2, 0x72,
0xc2, 0x40, 0x88, 0xbe, 0x94, 0x76, 0x9f, 0xd1,
0x66, 0x50}
};
/*-
* The representation of field elements.
* ------------------------------------
*
* We represent field elements with nine values. These values are either 64 or
* 128 bits and the field element represented is:
* v[0]*2^0 + v[1]*2^58 + v[2]*2^116 + ... + v[8]*2^464 (mod p)
* Each of the nine values is called a 'limb'. Since the limbs are spaced only
* 58 bits apart, but are greater than 58 bits in length, the most significant
* bits of each limb overlap with the least significant bits of the next.
*
* A field element with 64-bit limbs is an 'felem'. One with 128-bit limbs is a
* 'largefelem' */
#define NLIMBS 9
typedef uint64_t limb;
typedef limb limb_aX __attribute((__aligned__(1)));
typedef limb felem[NLIMBS];
typedef uint128_t largefelem[NLIMBS];
static const limb bottom57bits = 0x1ffffffffffffff;
static const limb bottom58bits = 0x3ffffffffffffff;
/*
* bin66_to_felem takes a little-endian byte array and converts it into felem
* form. This assumes that the CPU is little-endian.
*/
static void bin66_to_felem(felem out, const u8 in[66])
{
out[0] = (*((limb *) & in[0])) & bottom58bits;
out[1] = (*((limb_aX *) & in[7]) >> 2) & bottom58bits;
out[2] = (*((limb_aX *) & in[14]) >> 4) & bottom58bits;
out[3] = (*((limb_aX *) & in[21]) >> 6) & bottom58bits;
out[4] = (*((limb_aX *) & in[29])) & bottom58bits;
out[5] = (*((limb_aX *) & in[36]) >> 2) & bottom58bits;
out[6] = (*((limb_aX *) & in[43]) >> 4) & bottom58bits;
out[7] = (*((limb_aX *) & in[50]) >> 6) & bottom58bits;
out[8] = (*((limb_aX *) & in[58])) & bottom57bits;
}
/*
* felem_to_bin66 takes an felem and serializes into a little endian, 66 byte
* array. This assumes that the CPU is little-endian.
*/
static void felem_to_bin66(u8 out[66], const felem in)
{
memset(out, 0, 66);
(*((limb *) & out[0])) = in[0];
(*((limb_aX *) & out[7])) |= in[1] << 2;
(*((limb_aX *) & out[14])) |= in[2] << 4;
(*((limb_aX *) & out[21])) |= in[3] << 6;
(*((limb_aX *) & out[29])) = in[4];
(*((limb_aX *) & out[36])) |= in[5] << 2;
(*((limb_aX *) & out[43])) |= in[6] << 4;
(*((limb_aX *) & out[50])) |= in[7] << 6;
(*((limb_aX *) & out[58])) = in[8];
}
/* BN_to_felem converts an OpenSSL BIGNUM into an felem */
static int BN_to_felem(felem out, const BIGNUM *bn)
{
felem_bytearray b_out;
int num_bytes;
if (BN_is_negative(bn)) {
ERR_raise(ERR_LIB_EC, EC_R_BIGNUM_OUT_OF_RANGE);
return 0;
}
num_bytes = BN_bn2lebinpad(bn, b_out, sizeof(b_out));
if (num_bytes < 0) {
ERR_raise(ERR_LIB_EC, EC_R_BIGNUM_OUT_OF_RANGE);
return 0;
}
bin66_to_felem(out, b_out);
return 1;
}
/* felem_to_BN converts an felem into an OpenSSL BIGNUM */
static BIGNUM *felem_to_BN(BIGNUM *out, const felem in)
{
felem_bytearray b_out;
felem_to_bin66(b_out, in);
return BN_lebin2bn(b_out, sizeof(b_out), out);
}
/*-
* Field operations
* ----------------
*/
static void felem_one(felem out)
{
out[0] = 1;
out[1] = 0;
out[2] = 0;
out[3] = 0;
out[4] = 0;
out[5] = 0;
out[6] = 0;
out[7] = 0;
out[8] = 0;
}
static void felem_assign(felem out, const felem in)
{
out[0] = in[0];
out[1] = in[1];
out[2] = in[2];
out[3] = in[3];
out[4] = in[4];
out[5] = in[5];
out[6] = in[6];
out[7] = in[7];
out[8] = in[8];
}
/* felem_sum64 sets out = out + in. */
static void felem_sum64(felem out, const felem in)
{
out[0] += in[0];
out[1] += in[1];
out[2] += in[2];
out[3] += in[3];
out[4] += in[4];
out[5] += in[5];
out[6] += in[6];
out[7] += in[7];
out[8] += in[8];
}
/* felem_scalar sets out = in * scalar */
static void felem_scalar(felem out, const felem in, limb scalar)
{
out[0] = in[0] * scalar;
out[1] = in[1] * scalar;
out[2] = in[2] * scalar;
out[3] = in[3] * scalar;
out[4] = in[4] * scalar;
out[5] = in[5] * scalar;
out[6] = in[6] * scalar;
out[7] = in[7] * scalar;
out[8] = in[8] * scalar;
}
/* felem_scalar64 sets out = out * scalar */
static void felem_scalar64(felem out, limb scalar)
{
out[0] *= scalar;
out[1] *= scalar;
out[2] *= scalar;
out[3] *= scalar;
out[4] *= scalar;
out[5] *= scalar;
out[6] *= scalar;
out[7] *= scalar;
out[8] *= scalar;
}
/* felem_scalar128 sets out = out * scalar */
static void felem_scalar128(largefelem out, limb scalar)
{
out[0] *= scalar;
out[1] *= scalar;
out[2] *= scalar;
out[3] *= scalar;
out[4] *= scalar;
out[5] *= scalar;
out[6] *= scalar;
out[7] *= scalar;
out[8] *= scalar;
}
/*-
* felem_neg sets |out| to |-in|
* On entry:
* in[i] < 2^59 + 2^14
* On exit:
* out[i] < 2^62
*/
static void felem_neg(felem out, const felem in)
{
/* In order to prevent underflow, we subtract from 0 mod p. */
static const limb two62m3 = (((limb) 1) << 62) - (((limb) 1) << 5);
static const limb two62m2 = (((limb) 1) << 62) - (((limb) 1) << 4);
out[0] = two62m3 - in[0];
out[1] = two62m2 - in[1];
out[2] = two62m2 - in[2];
out[3] = two62m2 - in[3];
out[4] = two62m2 - in[4];
out[5] = two62m2 - in[5];
out[6] = two62m2 - in[6];
out[7] = two62m2 - in[7];
out[8] = two62m2 - in[8];
}
/*-
* felem_diff64 subtracts |in| from |out|
* On entry:
* in[i] < 2^59 + 2^14
* On exit:
* out[i] < out[i] + 2^62
*/
static void felem_diff64(felem out, const felem in)
{
/*
* In order to prevent underflow, we add 0 mod p before subtracting.
*/
static const limb two62m3 = (((limb) 1) << 62) - (((limb) 1) << 5);
static const limb two62m2 = (((limb) 1) << 62) - (((limb) 1) << 4);
out[0] += two62m3 - in[0];
out[1] += two62m2 - in[1];
out[2] += two62m2 - in[2];
out[3] += two62m2 - in[3];
out[4] += two62m2 - in[4];
out[5] += two62m2 - in[5];
out[6] += two62m2 - in[6];
out[7] += two62m2 - in[7];
out[8] += two62m2 - in[8];
}
/*-
* felem_diff_128_64 subtracts |in| from |out|
* On entry:
* in[i] < 2^62 + 2^17
* On exit:
* out[i] < out[i] + 2^63
*/
static void felem_diff_128_64(largefelem out, const felem in)
{
/*
* In order to prevent underflow, we add 64p mod p (which is equivalent
* to 0 mod p) before subtracting. p is 2^521 - 1, i.e. in binary a 521
* digit number with all bits set to 1. See "The representation of field
* elements" comment above for a description of how limbs are used to
* represent a number. 64p is represented with 8 limbs containing a number
* with 58 bits set and one limb with a number with 57 bits set.
*/
static const limb two63m6 = (((limb) 1) << 63) - (((limb) 1) << 6);
static const limb two63m5 = (((limb) 1) << 63) - (((limb) 1) << 5);
out[0] += two63m6 - in[0];
out[1] += two63m5 - in[1];
out[2] += two63m5 - in[2];
out[3] += two63m5 - in[3];
out[4] += two63m5 - in[4];
out[5] += two63m5 - in[5];
out[6] += two63m5 - in[6];
out[7] += two63m5 - in[7];
out[8] += two63m5 - in[8];
}
/*-
* felem_diff_128_64 subtracts |in| from |out|
* On entry:
* in[i] < 2^126
* On exit:
* out[i] < out[i] + 2^127 - 2^69
*/
static void felem_diff128(largefelem out, const largefelem in)
{
/*
* In order to prevent underflow, we add 0 mod p before subtracting.
*/
static const uint128_t two127m70 =
(((uint128_t) 1) << 127) - (((uint128_t) 1) << 70);
static const uint128_t two127m69 =
(((uint128_t) 1) << 127) - (((uint128_t) 1) << 69);
out[0] += (two127m70 - in[0]);
out[1] += (two127m69 - in[1]);
out[2] += (two127m69 - in[2]);
out[3] += (two127m69 - in[3]);
out[4] += (two127m69 - in[4]);
out[5] += (two127m69 - in[5]);
out[6] += (two127m69 - in[6]);
out[7] += (two127m69 - in[7]);
out[8] += (two127m69 - in[8]);
}
/*-
* felem_square sets |out| = |in|^2
* On entry:
* in[i] < 2^62
* On exit:
* out[i] < 17 * max(in[i]) * max(in[i])
*/
static void felem_square_ref(largefelem out, const felem in)
{
felem inx2, inx4;
felem_scalar(inx2, in, 2);
felem_scalar(inx4, in, 4);
/*-
* We have many cases were we want to do
* in[x] * in[y] +
* in[y] * in[x]
* This is obviously just
* 2 * in[x] * in[y]
* However, rather than do the doubling on the 128 bit result, we
* double one of the inputs to the multiplication by reading from
* |inx2|
*/
out[0] = ((uint128_t) in[0]) * in[0];
out[1] = ((uint128_t) in[0]) * inx2[1];
out[2] = ((uint128_t) in[0]) * inx2[2] + ((uint128_t) in[1]) * in[1];
out[3] = ((uint128_t) in[0]) * inx2[3] + ((uint128_t) in[1]) * inx2[2];
out[4] = ((uint128_t) in[0]) * inx2[4] +
((uint128_t) in[1]) * inx2[3] + ((uint128_t) in[2]) * in[2];
out[5] = ((uint128_t) in[0]) * inx2[5] +
((uint128_t) in[1]) * inx2[4] + ((uint128_t) in[2]) * inx2[3];
out[6] = ((uint128_t) in[0]) * inx2[6] +
((uint128_t) in[1]) * inx2[5] +
((uint128_t) in[2]) * inx2[4] + ((uint128_t) in[3]) * in[3];
out[7] = ((uint128_t) in[0]) * inx2[7] +
((uint128_t) in[1]) * inx2[6] +
((uint128_t) in[2]) * inx2[5] + ((uint128_t) in[3]) * inx2[4];
out[8] = ((uint128_t) in[0]) * inx2[8] +
((uint128_t) in[1]) * inx2[7] +
((uint128_t) in[2]) * inx2[6] +
((uint128_t) in[3]) * inx2[5] + ((uint128_t) in[4]) * in[4];
/*
* The remaining limbs fall above 2^521, with the first falling at 2^522.
* They correspond to locations one bit up from the limbs produced above
* so we would have to multiply by two to align them. Again, rather than
* operate on the 128-bit result, we double one of the inputs to the
* multiplication. If we want to double for both this reason, and the
* reason above, then we end up multiplying by four.
*/
/* 9 */
out[0] += ((uint128_t) in[1]) * inx4[8] +
((uint128_t) in[2]) * inx4[7] +
((uint128_t) in[3]) * inx4[6] + ((uint128_t) in[4]) * inx4[5];
/* 10 */
out[1] += ((uint128_t) in[2]) * inx4[8] +
((uint128_t) in[3]) * inx4[7] +
((uint128_t) in[4]) * inx4[6] + ((uint128_t) in[5]) * inx2[5];
/* 11 */
out[2] += ((uint128_t) in[3]) * inx4[8] +
((uint128_t) in[4]) * inx4[7] + ((uint128_t) in[5]) * inx4[6];
/* 12 */
out[3] += ((uint128_t) in[4]) * inx4[8] +
((uint128_t) in[5]) * inx4[7] + ((uint128_t) in[6]) * inx2[6];
/* 13 */
out[4] += ((uint128_t) in[5]) * inx4[8] + ((uint128_t) in[6]) * inx4[7];
/* 14 */
out[5] += ((uint128_t) in[6]) * inx4[8] + ((uint128_t) in[7]) * inx2[7];
/* 15 */
out[6] += ((uint128_t) in[7]) * inx4[8];
/* 16 */
out[7] += ((uint128_t) in[8]) * inx2[8];
}
/*-
* felem_mul sets |out| = |in1| * |in2|
* On entry:
* in1[i] < 2^64
* in2[i] < 2^63
* On exit:
* out[i] < 17 * max(in1[i]) * max(in2[i])
*/
static void felem_mul_ref(largefelem out, const felem in1, const felem in2)
{
felem in2x2;
felem_scalar(in2x2, in2, 2);
out[0] = ((uint128_t) in1[0]) * in2[0];
out[1] = ((uint128_t) in1[0]) * in2[1] +
((uint128_t) in1[1]) * in2[0];
out[2] = ((uint128_t) in1[0]) * in2[2] +
((uint128_t) in1[1]) * in2[1] +
((uint128_t) in1[2]) * in2[0];
out[3] = ((uint128_t) in1[0]) * in2[3] +
((uint128_t) in1[1]) * in2[2] +
((uint128_t) in1[2]) * in2[1] +
((uint128_t) in1[3]) * in2[0];
out[4] = ((uint128_t) in1[0]) * in2[4] +
((uint128_t) in1[1]) * in2[3] +
((uint128_t) in1[2]) * in2[2] +
((uint128_t) in1[3]) * in2[1] +
((uint128_t) in1[4]) * in2[0];
out[5] = ((uint128_t) in1[0]) * in2[5] +
((uint128_t) in1[1]) * in2[4] +
((uint128_t) in1[2]) * in2[3] +
((uint128_t) in1[3]) * in2[2] +
((uint128_t) in1[4]) * in2[1] +
((uint128_t) in1[5]) * in2[0];
out[6] = ((uint128_t) in1[0]) * in2[6] +
((uint128_t) in1[1]) * in2[5] +
((uint128_t) in1[2]) * in2[4] +
((uint128_t) in1[3]) * in2[3] +
((uint128_t) in1[4]) * in2[2] +
((uint128_t) in1[5]) * in2[1] +
((uint128_t) in1[6]) * in2[0];
out[7] = ((uint128_t) in1[0]) * in2[7] +
((uint128_t) in1[1]) * in2[6] +
((uint128_t) in1[2]) * in2[5] +
((uint128_t) in1[3]) * in2[4] +
((uint128_t) in1[4]) * in2[3] +
((uint128_t) in1[5]) * in2[2] +
((uint128_t) in1[6]) * in2[1] +
((uint128_t) in1[7]) * in2[0];
out[8] = ((uint128_t) in1[0]) * in2[8] +
((uint128_t) in1[1]) * in2[7] +
((uint128_t) in1[2]) * in2[6] +
((uint128_t) in1[3]) * in2[5] +
((uint128_t) in1[4]) * in2[4] +
((uint128_t) in1[5]) * in2[3] +
((uint128_t) in1[6]) * in2[2] +
((uint128_t) in1[7]) * in2[1] +
((uint128_t) in1[8]) * in2[0];
/* See comment in felem_square about the use of in2x2 here */
out[0] += ((uint128_t) in1[1]) * in2x2[8] +
((uint128_t) in1[2]) * in2x2[7] +
((uint128_t) in1[3]) * in2x2[6] +
((uint128_t) in1[4]) * in2x2[5] +
((uint128_t) in1[5]) * in2x2[4] +
((uint128_t) in1[6]) * in2x2[3] +
((uint128_t) in1[7]) * in2x2[2] +
((uint128_t) in1[8]) * in2x2[1];
out[1] += ((uint128_t) in1[2]) * in2x2[8] +
((uint128_t) in1[3]) * in2x2[7] +
((uint128_t) in1[4]) * in2x2[6] +
((uint128_t) in1[5]) * in2x2[5] +
((uint128_t) in1[6]) * in2x2[4] +
((uint128_t) in1[7]) * in2x2[3] +
((uint128_t) in1[8]) * in2x2[2];
out[2] += ((uint128_t) in1[3]) * in2x2[8] +
((uint128_t) in1[4]) * in2x2[7] +
((uint128_t) in1[5]) * in2x2[6] +
((uint128_t) in1[6]) * in2x2[5] +
((uint128_t) in1[7]) * in2x2[4] +
((uint128_t) in1[8]) * in2x2[3];
out[3] += ((uint128_t) in1[4]) * in2x2[8] +
((uint128_t) in1[5]) * in2x2[7] +
((uint128_t) in1[6]) * in2x2[6] +
((uint128_t) in1[7]) * in2x2[5] +
((uint128_t) in1[8]) * in2x2[4];
out[4] += ((uint128_t) in1[5]) * in2x2[8] +
((uint128_t) in1[6]) * in2x2[7] +
((uint128_t) in1[7]) * in2x2[6] +
((uint128_t) in1[8]) * in2x2[5];
out[5] += ((uint128_t) in1[6]) * in2x2[8] +
((uint128_t) in1[7]) * in2x2[7] +
((uint128_t) in1[8]) * in2x2[6];
out[6] += ((uint128_t) in1[7]) * in2x2[8] +
((uint128_t) in1[8]) * in2x2[7];
out[7] += ((uint128_t) in1[8]) * in2x2[8];
}
static const limb bottom52bits = 0xfffffffffffff;
/*-
* felem_reduce converts a largefelem to an felem.
* On entry:
* in[i] < 2^128
* On exit:
* out[i] < 2^59 + 2^14
*/
static void felem_reduce(felem out, const largefelem in)
{
u64 overflow1, overflow2;
out[0] = ((limb) in[0]) & bottom58bits;
out[1] = ((limb) in[1]) & bottom58bits;
out[2] = ((limb) in[2]) & bottom58bits;
out[3] = ((limb) in[3]) & bottom58bits;
out[4] = ((limb) in[4]) & bottom58bits;
out[5] = ((limb) in[5]) & bottom58bits;
out[6] = ((limb) in[6]) & bottom58bits;
out[7] = ((limb) in[7]) & bottom58bits;
out[8] = ((limb) in[8]) & bottom58bits;
/* out[i] < 2^58 */
out[1] += ((limb) in[0]) >> 58;
out[1] += (((limb) (in[0] >> 64)) & bottom52bits) << 6;
/*-
* out[1] < 2^58 + 2^6 + 2^58
* = 2^59 + 2^6
*/
out[2] += ((limb) (in[0] >> 64)) >> 52;
out[2] += ((limb) in[1]) >> 58;
out[2] += (((limb) (in[1] >> 64)) & bottom52bits) << 6;
out[3] += ((limb) (in[1] >> 64)) >> 52;
out[3] += ((limb) in[2]) >> 58;
out[3] += (((limb) (in[2] >> 64)) & bottom52bits) << 6;
out[4] += ((limb) (in[2] >> 64)) >> 52;
out[4] += ((limb) in[3]) >> 58;
out[4] += (((limb) (in[3] >> 64)) & bottom52bits) << 6;
out[5] += ((limb) (in[3] >> 64)) >> 52;
out[5] += ((limb) in[4]) >> 58;
out[5] += (((limb) (in[4] >> 64)) & bottom52bits) << 6;
out[6] += ((limb) (in[4] >> 64)) >> 52;
out[6] += ((limb) in[5]) >> 58;
out[6] += (((limb) (in[5] >> 64)) & bottom52bits) << 6;
out[7] += ((limb) (in[5] >> 64)) >> 52;
out[7] += ((limb) in[6]) >> 58;
out[7] += (((limb) (in[6] >> 64)) & bottom52bits) << 6;
out[8] += ((limb) (in[6] >> 64)) >> 52;
out[8] += ((limb) in[7]) >> 58;
out[8] += (((limb) (in[7] >> 64)) & bottom52bits) << 6;
/*-
* out[x > 1] < 2^58 + 2^6 + 2^58 + 2^12
* < 2^59 + 2^13
*/
overflow1 = ((limb) (in[7] >> 64)) >> 52;
overflow1 += ((limb) in[8]) >> 58;
overflow1 += (((limb) (in[8] >> 64)) & bottom52bits) << 6;
overflow2 = ((limb) (in[8] >> 64)) >> 52;
overflow1 <<= 1; /* overflow1 < 2^13 + 2^7 + 2^59 */
overflow2 <<= 1; /* overflow2 < 2^13 */
out[0] += overflow1; /* out[0] < 2^60 */
out[1] += overflow2; /* out[1] < 2^59 + 2^6 + 2^13 */
out[1] += out[0] >> 58;
out[0] &= bottom58bits;
/*-
* out[0] < 2^58
* out[1] < 2^59 + 2^6 + 2^13 + 2^2
* < 2^59 + 2^14
*/
}
#if defined(ECP_NISTP521_ASM)
static void felem_square_wrapper(largefelem out, const felem in);
static void felem_mul_wrapper(largefelem out, const felem in1, const felem in2);
static void (*felem_square_p)(largefelem out, const felem in) =
felem_square_wrapper;
static void (*felem_mul_p)(largefelem out, const felem in1, const felem in2) =
felem_mul_wrapper;
void p521_felem_square(largefelem out, const felem in);
void p521_felem_mul(largefelem out, const felem in1, const felem in2);
# if defined(_ARCH_PPC64)
# include "crypto/ppc_arch.h"
# endif
static void felem_select(void)
{
# if defined(_ARCH_PPC64)
if ((OPENSSL_ppccap_P & PPC_MADD300) && (OPENSSL_ppccap_P & PPC_ALTIVEC)) {
felem_square_p = p521_felem_square;
felem_mul_p = p521_felem_mul;
return;
}
# endif
/* Default */
felem_square_p = felem_square_ref;
felem_mul_p = felem_mul_ref;
}
static void felem_square_wrapper(largefelem out, const felem in)
{
felem_select();
felem_square_p(out, in);
}
static void felem_mul_wrapper(largefelem out, const felem in1, const felem in2)
{
felem_select();
felem_mul_p(out, in1, in2);
}
# define felem_square felem_square_p
# define felem_mul felem_mul_p
#else
# define felem_square felem_square_ref
# define felem_mul felem_mul_ref
#endif
static void felem_square_reduce(felem out, const felem in)
{
largefelem tmp;
felem_square(tmp, in);
felem_reduce(out, tmp);
}
static void felem_mul_reduce(felem out, const felem in1, const felem in2)
{
largefelem tmp;
felem_mul(tmp, in1, in2);
felem_reduce(out, tmp);
}
/*-
* felem_inv calculates |out| = |in|^{-1}
*
* Based on Fermat's Little Theorem:
* a^p = a (mod p)
* a^{p-1} = 1 (mod p)
* a^{p-2} = a^{-1} (mod p)
*/
static void felem_inv(felem out, const felem in)
{
felem ftmp, ftmp2, ftmp3, ftmp4;
largefelem tmp;
unsigned i;
felem_square(tmp, in);
felem_reduce(ftmp, tmp); /* 2^1 */
felem_mul(tmp, in, ftmp);
felem_reduce(ftmp, tmp); /* 2^2 - 2^0 */
felem_assign(ftmp2, ftmp);
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp); /* 2^3 - 2^1 */
felem_mul(tmp, in, ftmp);
felem_reduce(ftmp, tmp); /* 2^3 - 2^0 */
felem_square(tmp, ftmp);
felem_reduce(ftmp, tmp); /* 2^4 - 2^1 */
felem_square(tmp, ftmp2);
felem_reduce(ftmp3, tmp); /* 2^3 - 2^1 */
felem_square(tmp, ftmp3);
felem_reduce(ftmp3, tmp); /* 2^4 - 2^2 */
felem_mul(tmp, ftmp3, ftmp2);
felem_reduce(ftmp3, tmp); /* 2^4 - 2^0 */
felem_assign(ftmp2, ftmp3);
felem_square(tmp, ftmp3);
felem_reduce(ftmp3, tmp); /* 2^5 - 2^1 */
felem_square(tmp, ftmp3);
felem_reduce(ftmp3, tmp); /* 2^6 - 2^2 */
felem_square(tmp, ftmp3);
felem_reduce(ftmp3, tmp); /* 2^7 - 2^3 */
felem_square(tmp, ftmp3);
felem_reduce(ftmp3, tmp); /* 2^8 - 2^4 */
felem_mul(tmp, ftmp3, ftmp);
felem_reduce(ftmp4, tmp); /* 2^8 - 2^1 */
felem_square(tmp, ftmp4);
felem_reduce(ftmp4, tmp); /* 2^9 - 2^2 */
felem_mul(tmp, ftmp3, ftmp2);
felem_reduce(ftmp3, tmp); /* 2^8 - 2^0 */
felem_assign(ftmp2, ftmp3);
for (i = 0; i < 8; i++) {
felem_square(tmp, ftmp3);
felem_reduce(ftmp3, tmp); /* 2^16 - 2^8 */
}
felem_mul(tmp, ftmp3, ftmp2);
felem_reduce(ftmp3, tmp); /* 2^16 - 2^0 */
felem_assign(ftmp2, ftmp3);
for (i = 0; i < 16; i++) {
felem_square(tmp, ftmp3);
felem_reduce(ftmp3, tmp); /* 2^32 - 2^16 */
}
felem_mul(tmp, ftmp3, ftmp2);
felem_reduce(ftmp3, tmp); /* 2^32 - 2^0 */
felem_assign(ftmp2, ftmp3);
for (i = 0; i < 32; i++) {
felem_square(tmp, ftmp3);
felem_reduce(ftmp3, tmp); /* 2^64 - 2^32 */
}
felem_mul(tmp, ftmp3, ftmp2);
felem_reduce(ftmp3, tmp); /* 2^64 - 2^0 */
felem_assign(ftmp2, ftmp3);
for (i = 0; i < 64; i++) {
felem_square(tmp, ftmp3);
felem_reduce(ftmp3, tmp); /* 2^128 - 2^64 */
}
felem_mul(tmp, ftmp3, ftmp2);
felem_reduce(ftmp3, tmp); /* 2^128 - 2^0 */
felem_assign(ftmp2, ftmp3);
for (i = 0; i < 128; i++) {
felem_square(tmp, ftmp3);
felem_reduce(ftmp3, tmp); /* 2^256 - 2^128 */
}
felem_mul(tmp, ftmp3, ftmp2);
felem_reduce(ftmp3, tmp); /* 2^256 - 2^0 */
felem_assign(ftmp2, ftmp3);
for (i = 0; i < 256; i++) {
felem_square(tmp, ftmp3);
felem_reduce(ftmp3, tmp); /* 2^512 - 2^256 */
}
felem_mul(tmp, ftmp3, ftmp2);
felem_reduce(ftmp3, tmp); /* 2^512 - 2^0 */
for (i = 0; i < 9; i++) {
felem_square(tmp, ftmp3);
felem_reduce(ftmp3, tmp); /* 2^521 - 2^9 */
}
felem_mul(tmp, ftmp3, ftmp4);
felem_reduce(ftmp3, tmp); /* 2^521 - 2^2 */
felem_mul(tmp, ftmp3, in);
felem_reduce(out, tmp); /* 2^521 - 3 */
}
/* This is 2^521-1, expressed as an felem */
static const felem kPrime = {
0x03ffffffffffffff, 0x03ffffffffffffff, 0x03ffffffffffffff,
0x03ffffffffffffff, 0x03ffffffffffffff, 0x03ffffffffffffff,
0x03ffffffffffffff, 0x03ffffffffffffff, 0x01ffffffffffffff
};
/*-
* felem_is_zero returns a limb with all bits set if |in| == 0 (mod p) and 0
* otherwise.
* On entry:
* in[i] < 2^59 + 2^14
*/
static limb felem_is_zero(const felem in)
{
felem ftmp;
limb is_zero, is_p;
felem_assign(ftmp, in);
ftmp[0] += ftmp[8] >> 57;
ftmp[8] &= bottom57bits;
/* ftmp[8] < 2^57 */
ftmp[1] += ftmp[0] >> 58;
ftmp[0] &= bottom58bits;
ftmp[2] += ftmp[1] >> 58;
ftmp[1] &= bottom58bits;
ftmp[3] += ftmp[2] >> 58;
ftmp[2] &= bottom58bits;
ftmp[4] += ftmp[3] >> 58;
ftmp[3] &= bottom58bits;
ftmp[5] += ftmp[4] >> 58;
ftmp[4] &= bottom58bits;
ftmp[6] += ftmp[5] >> 58;
ftmp[5] &= bottom58bits;
ftmp[7] += ftmp[6] >> 58;
ftmp[6] &= bottom58bits;
ftmp[8] += ftmp[7] >> 58;
ftmp[7] &= bottom58bits;
/* ftmp[8] < 2^57 + 4 */
/*
* The ninth limb of 2*(2^521-1) is 0x03ffffffffffffff, which is greater
* than our bound for ftmp[8]. Therefore we only have to check if the
* zero is zero or 2^521-1.
*/
is_zero = 0;
is_zero |= ftmp[0];
is_zero |= ftmp[1];
is_zero |= ftmp[2];
is_zero |= ftmp[3];
is_zero |= ftmp[4];
is_zero |= ftmp[5];
is_zero |= ftmp[6];
is_zero |= ftmp[7];
is_zero |= ftmp[8];
is_zero--;
/*
* We know that ftmp[i] < 2^63, therefore the only way that the top bit
* can be set is if is_zero was 0 before the decrement.
*/
is_zero = 0 - (is_zero >> 63);
is_p = ftmp[0] ^ kPrime[0];
is_p |= ftmp[1] ^ kPrime[1];
is_p |= ftmp[2] ^ kPrime[2];
is_p |= ftmp[3] ^ kPrime[3];
is_p |= ftmp[4] ^ kPrime[4];
is_p |= ftmp[5] ^ kPrime[5];
is_p |= ftmp[6] ^ kPrime[6];
is_p |= ftmp[7] ^ kPrime[7];
is_p |= ftmp[8] ^ kPrime[8];
is_p--;
is_p = 0 - (is_p >> 63);
is_zero |= is_p;
return is_zero;
}
static int felem_is_zero_int(const void *in)
{
return (int)(felem_is_zero(in) & ((limb) 1));
}
/*-
* felem_contract converts |in| to its unique, minimal representation.
* On entry:
* in[i] < 2^59 + 2^14
*/
static void felem_contract(felem out, const felem in)
{
limb is_p, is_greater, sign;
static const limb two58 = ((limb) 1) << 58;
felem_assign(out, in);
out[0] += out[8] >> 57;
out[8] &= bottom57bits;
/* out[8] < 2^57 */
out[1] += out[0] >> 58;
out[0] &= bottom58bits;
out[2] += out[1] >> 58;
out[1] &= bottom58bits;
out[3] += out[2] >> 58;
out[2] &= bottom58bits;
out[4] += out[3] >> 58;
out[3] &= bottom58bits;
out[5] += out[4] >> 58;
out[4] &= bottom58bits;
out[6] += out[5] >> 58;
out[5] &= bottom58bits;
out[7] += out[6] >> 58;
out[6] &= bottom58bits;
out[8] += out[7] >> 58;
out[7] &= bottom58bits;
/* out[8] < 2^57 + 4 */
/*
* If the value is greater than 2^521-1 then we have to subtract 2^521-1
* out. See the comments in felem_is_zero regarding why we don't test for
* other multiples of the prime.
*/
/*
* First, if |out| is equal to 2^521-1, we subtract it out to get zero.
*/
is_p = out[0] ^ kPrime[0];
is_p |= out[1] ^ kPrime[1];
is_p |= out[2] ^ kPrime[2];
is_p |= out[3] ^ kPrime[3];
is_p |= out[4] ^ kPrime[4];
is_p |= out[5] ^ kPrime[5];
is_p |= out[6] ^ kPrime[6];
is_p |= out[7] ^ kPrime[7];
is_p |= out[8] ^ kPrime[8];
is_p--;
is_p &= is_p << 32;
is_p &= is_p << 16;
is_p &= is_p << 8;
is_p &= is_p << 4;
is_p &= is_p << 2;
is_p &= is_p << 1;
is_p = 0 - (is_p >> 63);
is_p = ~is_p;
/* is_p is 0 iff |out| == 2^521-1 and all ones otherwise */
out[0] &= is_p;
out[1] &= is_p;
out[2] &= is_p;
out[3] &= is_p;
out[4] &= is_p;
out[5] &= is_p;
out[6] &= is_p;
out[7] &= is_p;
out[8] &= is_p;
/*
* In order to test that |out| >= 2^521-1 we need only test if out[8] >>
* 57 is greater than zero as (2^521-1) + x >= 2^522
*/
is_greater = out[8] >> 57;
is_greater |= is_greater << 32;
is_greater |= is_greater << 16;
is_greater |= is_greater << 8;
is_greater |= is_greater << 4;
is_greater |= is_greater << 2;
is_greater |= is_greater << 1;
is_greater = 0 - (is_greater >> 63);
out[0] -= kPrime[0] & is_greater;
out[1] -= kPrime[1] & is_greater;
out[2] -= kPrime[2] & is_greater;
out[3] -= kPrime[3] & is_greater;
out[4] -= kPrime[4] & is_greater;
out[5] -= kPrime[5] & is_greater;
out[6] -= kPrime[6] & is_greater;
out[7] -= kPrime[7] & is_greater;
out[8] -= kPrime[8] & is_greater;
/* Eliminate negative coefficients */
sign = -(out[0] >> 63);
out[0] += (two58 & sign);
out[1] -= (1 & sign);
sign = -(out[1] >> 63);
out[1] += (two58 & sign);
out[2] -= (1 & sign);
sign = -(out[2] >> 63);
out[2] += (two58 & sign);
out[3] -= (1 & sign);
sign = -(out[3] >> 63);
out[3] += (two58 & sign);
out[4] -= (1 & sign);
sign = -(out[4] >> 63);
out[4] += (two58 & sign);
out[5] -= (1 & sign);
sign = -(out[0] >> 63);
out[5] += (two58 & sign);
out[6] -= (1 & sign);
sign = -(out[6] >> 63);
out[6] += (two58 & sign);
out[7] -= (1 & sign);
sign = -(out[7] >> 63);
out[7] += (two58 & sign);
out[8] -= (1 & sign);
sign = -(out[5] >> 63);
out[5] += (two58 & sign);
out[6] -= (1 & sign);
sign = -(out[6] >> 63);
out[6] += (two58 & sign);
out[7] -= (1 & sign);
sign = -(out[7] >> 63);
out[7] += (two58 & sign);
out[8] -= (1 & sign);
}
/*-
* Group operations
* ----------------
*
* Building on top of the field operations we have the operations on the
* elliptic curve group itself. Points on the curve are represented in Jacobian
* coordinates */
/*-
* point_double calculates 2*(x_in, y_in, z_in)
*
* The method is taken from:
* http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#doubling-dbl-2001-b
*
* Outputs can equal corresponding inputs, i.e., x_out == x_in is allowed.
* while x_out == y_in is not (maybe this works, but it's not tested). */
static void
point_double(felem x_out, felem y_out, felem z_out,
const felem x_in, const felem y_in, const felem z_in)
{
largefelem tmp, tmp2;
felem delta, gamma, beta, alpha, ftmp, ftmp2;
felem_assign(ftmp, x_in);
felem_assign(ftmp2, x_in);
/* delta = z^2 */
felem_square(tmp, z_in);
felem_reduce(delta, tmp); /* delta[i] < 2^59 + 2^14 */
/* gamma = y^2 */
felem_square(tmp, y_in);
felem_reduce(gamma, tmp); /* gamma[i] < 2^59 + 2^14 */
/* beta = x*gamma */
felem_mul(tmp, x_in, gamma);
felem_reduce(beta, tmp); /* beta[i] < 2^59 + 2^14 */
/* alpha = 3*(x-delta)*(x+delta) */
felem_diff64(ftmp, delta);
/* ftmp[i] < 2^61 */
felem_sum64(ftmp2, delta);
/* ftmp2[i] < 2^60 + 2^15 */
felem_scalar64(ftmp2, 3);
/* ftmp2[i] < 3*2^60 + 3*2^15 */
felem_mul(tmp, ftmp, ftmp2);
/*-
* tmp[i] < 17(3*2^121 + 3*2^76)
* = 61*2^121 + 61*2^76
* < 64*2^121 + 64*2^76
* = 2^127 + 2^82
* < 2^128
*/
felem_reduce(alpha, tmp);
/* x' = alpha^2 - 8*beta */
felem_square(tmp, alpha);
/*
* tmp[i] < 17*2^120 < 2^125
*/
felem_assign(ftmp, beta);
felem_scalar64(ftmp, 8);
/* ftmp[i] < 2^62 + 2^17 */
felem_diff_128_64(tmp, ftmp);
/* tmp[i] < 2^125 + 2^63 + 2^62 + 2^17 */
felem_reduce(x_out, tmp);
/* z' = (y + z)^2 - gamma - delta */
felem_sum64(delta, gamma);
/* delta[i] < 2^60 + 2^15 */
felem_assign(ftmp, y_in);
felem_sum64(ftmp, z_in);
/* ftmp[i] < 2^60 + 2^15 */
felem_square(tmp, ftmp);
/*
* tmp[i] < 17(2^122) < 2^127
*/
felem_diff_128_64(tmp, delta);
/* tmp[i] < 2^127 + 2^63 */
felem_reduce(z_out, tmp);
/* y' = alpha*(4*beta - x') - 8*gamma^2 */
felem_scalar64(beta, 4);
/* beta[i] < 2^61 + 2^16 */
felem_diff64(beta, x_out);
/* beta[i] < 2^61 + 2^60 + 2^16 */
felem_mul(tmp, alpha, beta);
/*-
* tmp[i] < 17*((2^59 + 2^14)(2^61 + 2^60 + 2^16))
* = 17*(2^120 + 2^75 + 2^119 + 2^74 + 2^75 + 2^30)
* = 17*(2^120 + 2^119 + 2^76 + 2^74 + 2^30)
* < 2^128
*/
felem_square(tmp2, gamma);
/*-
* tmp2[i] < 17*(2^59 + 2^14)^2
* = 17*(2^118 + 2^74 + 2^28)
*/
felem_scalar128(tmp2, 8);
/*-
* tmp2[i] < 8*17*(2^118 + 2^74 + 2^28)
* = 2^125 + 2^121 + 2^81 + 2^77 + 2^35 + 2^31
* < 2^126
*/
felem_diff128(tmp, tmp2);
/*-
* tmp[i] < 2^127 - 2^69 + 17(2^120 + 2^119 + 2^76 + 2^74 + 2^30)
* = 2^127 + 2^124 + 2^122 + 2^120 + 2^118 + 2^80 + 2^78 + 2^76 +
* 2^74 + 2^69 + 2^34 + 2^30
* < 2^128
*/
felem_reduce(y_out, tmp);
}
/* copy_conditional copies in to out iff mask is all ones. */
static void copy_conditional(felem out, const felem in, limb mask)
{
unsigned i;
for (i = 0; i < NLIMBS; ++i) {
const limb tmp = mask & (in[i] ^ out[i]);
out[i] ^= tmp;
}
}
/*-
* point_add calculates (x1, y1, z1) + (x2, y2, z2)
*
* The method is taken from
* http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#addition-add-2007-bl,
* adapted for mixed addition (z2 = 1, or z2 = 0 for the point at infinity).
*
* This function includes a branch for checking whether the two input points
* are equal (while not equal to the point at infinity). See comment below
* on constant-time.
*/
static void point_add(felem x3, felem y3, felem z3,
const felem x1, const felem y1, const felem z1,
const int mixed, const felem x2, const felem y2,
const felem z2)
{
felem ftmp, ftmp2, ftmp3, ftmp4, ftmp5, ftmp6, x_out, y_out, z_out;
largefelem tmp, tmp2;
limb x_equal, y_equal, z1_is_zero, z2_is_zero;
limb points_equal;
z1_is_zero = felem_is_zero(z1);
z2_is_zero = felem_is_zero(z2);
/* ftmp = z1z1 = z1**2 */
felem_square(tmp, z1);
felem_reduce(ftmp, tmp);
if (!mixed) {
/* ftmp2 = z2z2 = z2**2 */
felem_square(tmp, z2);
felem_reduce(ftmp2, tmp);
/* u1 = ftmp3 = x1*z2z2 */
felem_mul(tmp, x1, ftmp2);
felem_reduce(ftmp3, tmp);
/* ftmp5 = z1 + z2 */
felem_assign(ftmp5, z1);
felem_sum64(ftmp5, z2);
/* ftmp5[i] < 2^61 */
/* ftmp5 = (z1 + z2)**2 - z1z1 - z2z2 = 2*z1z2 */
felem_square(tmp, ftmp5);
/* tmp[i] < 17*2^122 */
felem_diff_128_64(tmp, ftmp);
/* tmp[i] < 17*2^122 + 2^63 */
felem_diff_128_64(tmp, ftmp2);
/* tmp[i] < 17*2^122 + 2^64 */
felem_reduce(ftmp5, tmp);
/* ftmp2 = z2 * z2z2 */
felem_mul(tmp, ftmp2, z2);
felem_reduce(ftmp2, tmp);
/* s1 = ftmp6 = y1 * z2**3 */
felem_mul(tmp, y1, ftmp2);
felem_reduce(ftmp6, tmp);
} else {
/*
* We'll assume z2 = 1 (special case z2 = 0 is handled later)
*/
/* u1 = ftmp3 = x1*z2z2 */
felem_assign(ftmp3, x1);
/* ftmp5 = 2*z1z2 */
felem_scalar(ftmp5, z1, 2);
/* s1 = ftmp6 = y1 * z2**3 */
felem_assign(ftmp6, y1);
}
/* u2 = x2*z1z1 */
felem_mul(tmp, x2, ftmp);
/* tmp[i] < 17*2^120 */
/* h = ftmp4 = u2 - u1 */
felem_diff_128_64(tmp, ftmp3);
/* tmp[i] < 17*2^120 + 2^63 */
felem_reduce(ftmp4, tmp);
x_equal = felem_is_zero(ftmp4);
/* z_out = ftmp5 * h */
felem_mul(tmp, ftmp5, ftmp4);
felem_reduce(z_out, tmp);
/* ftmp = z1 * z1z1 */
felem_mul(tmp, ftmp, z1);
felem_reduce(ftmp, tmp);
/* s2 = tmp = y2 * z1**3 */
felem_mul(tmp, y2, ftmp);
/* tmp[i] < 17*2^120 */
/* r = ftmp5 = (s2 - s1)*2 */
felem_diff_128_64(tmp, ftmp6);
/* tmp[i] < 17*2^120 + 2^63 */
felem_reduce(ftmp5, tmp);
y_equal = felem_is_zero(ftmp5);
felem_scalar64(ftmp5, 2);
/* ftmp5[i] < 2^61 */
/*
* The formulae are incorrect if the points are equal, in affine coordinates
* (X_1, Y_1) == (X_2, Y_2), so we check for this and do doubling if this
* happens.
*
* We use bitwise operations to avoid potential side-channels introduced by
* the short-circuiting behaviour of boolean operators.
*
* The special case of either point being the point at infinity (z1 and/or
* z2 are zero), is handled separately later on in this function, so we
* avoid jumping to point_double here in those special cases.
*
* Notice the comment below on the implications of this branching for timing
* leaks and why it is considered practically irrelevant.
*/
points_equal = (x_equal & y_equal & (~z1_is_zero) & (~z2_is_zero));
if (points_equal) {
/*
* This is obviously not constant-time but it will almost-never happen
* for ECDH / ECDSA. The case where it can happen is during scalar-mult
* where the intermediate value gets very close to the group order.
* Since |ossl_ec_GFp_nistp_recode_scalar_bits| produces signed digits
* for the scalar, it's possible for the intermediate value to be a small
* negative multiple of the base point, and for the final signed digit
* to be the same value. We believe that this only occurs for the scalar
* 1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
* ffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb
* 71e913863f7, in that case the penultimate intermediate is -9G and
* the final digit is also -9G. Since this only happens for a single
* scalar, the timing leak is irrelevant. (Any attacker who wanted to
* check whether a secret scalar was that exact value, can already do
* so.)
*/
point_double(x3, y3, z3, x1, y1, z1);
return;
}
/* I = ftmp = (2h)**2 */
felem_assign(ftmp, ftmp4);
felem_scalar64(ftmp, 2);
/* ftmp[i] < 2^61 */
felem_square(tmp, ftmp);
/* tmp[i] < 17*2^122 */
felem_reduce(ftmp, tmp);
/* J = ftmp2 = h * I */
felem_mul(tmp, ftmp4, ftmp);
felem_reduce(ftmp2, tmp);
/* V = ftmp4 = U1 * I */
felem_mul(tmp, ftmp3, ftmp);
felem_reduce(ftmp4, tmp);
/* x_out = r**2 - J - 2V */
felem_square(tmp, ftmp5);
/* tmp[i] < 17*2^122 */
felem_diff_128_64(tmp, ftmp2);
/* tmp[i] < 17*2^122 + 2^63 */
felem_assign(ftmp3, ftmp4);
felem_scalar64(ftmp4, 2);
/* ftmp4[i] < 2^61 */
felem_diff_128_64(tmp, ftmp4);
/* tmp[i] < 17*2^122 + 2^64 */
felem_reduce(x_out, tmp);
/* y_out = r(V-x_out) - 2 * s1 * J */
felem_diff64(ftmp3, x_out);
/*
* ftmp3[i] < 2^60 + 2^60 = 2^61
*/
felem_mul(tmp, ftmp5, ftmp3);
/* tmp[i] < 17*2^122 */
felem_mul(tmp2, ftmp6, ftmp2);
/* tmp2[i] < 17*2^120 */
felem_scalar128(tmp2, 2);
/* tmp2[i] < 17*2^121 */
felem_diff128(tmp, tmp2);
/*-
* tmp[i] < 2^127 - 2^69 + 17*2^122
* = 2^126 - 2^122 - 2^6 - 2^2 - 1
* < 2^127
*/
felem_reduce(y_out, tmp);
copy_conditional(x_out, x2, z1_is_zero);
copy_conditional(x_out, x1, z2_is_zero);
copy_conditional(y_out, y2, z1_is_zero);
copy_conditional(y_out, y1, z2_is_zero);
copy_conditional(z_out, z2, z1_is_zero);
copy_conditional(z_out, z1, z2_is_zero);
felem_assign(x3, x_out);
felem_assign(y3, y_out);
felem_assign(z3, z_out);
}
/*-
* Base point pre computation
* --------------------------
*
* Two different sorts of precomputed tables are used in the following code.
* Each contain various points on the curve, where each point is three field
* elements (x, y, z).
*
* For the base point table, z is usually 1 (0 for the point at infinity).
* This table has 16 elements:
* index | bits | point
* ------+---------+------------------------------
* 0 | 0 0 0 0 | 0G
* 1 | 0 0 0 1 | 1G
* 2 | 0 0 1 0 | 2^130G
* 3 | 0 0 1 1 | (2^130 + 1)G
* 4 | 0 1 0 0 | 2^260G
* 5 | 0 1 0 1 | (2^260 + 1)G
* 6 | 0 1 1 0 | (2^260 + 2^130)G
* 7 | 0 1 1 1 | (2^260 + 2^130 + 1)G
* 8 | 1 0 0 0 | 2^390G
* 9 | 1 0 0 1 | (2^390 + 1)G
* 10 | 1 0 1 0 | (2^390 + 2^130)G
* 11 | 1 0 1 1 | (2^390 + 2^130 + 1)G
* 12 | 1 1 0 0 | (2^390 + 2^260)G
* 13 | 1 1 0 1 | (2^390 + 2^260 + 1)G
* 14 | 1 1 1 0 | (2^390 + 2^260 + 2^130)G
* 15 | 1 1 1 1 | (2^390 + 2^260 + 2^130 + 1)G
*
* The reason for this is so that we can clock bits into four different
* locations when doing simple scalar multiplies against the base point.
*
* Tables for other points have table[i] = iG for i in 0 .. 16. */
/* gmul is the table of precomputed base points */
static const felem gmul[16][3] = {
{{0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0}},
{{0x017e7e31c2e5bd66, 0x022cf0615a90a6fe, 0x00127a2ffa8de334,
0x01dfbf9d64a3f877, 0x006b4d3dbaa14b5e, 0x014fed487e0a2bd8,
0x015b4429c6481390, 0x03a73678fb2d988e, 0x00c6858e06b70404},
{0x00be94769fd16650, 0x031c21a89cb09022, 0x039013fad0761353,
0x02657bd099031542, 0x03273e662c97ee72, 0x01e6d11a05ebef45,
0x03d1bd998f544495, 0x03001172297ed0b1, 0x011839296a789a3b},
{1, 0, 0, 0, 0, 0, 0, 0, 0}},
{{0x0373faacbc875bae, 0x00f325023721c671, 0x00f666fd3dbde5ad,
0x01a6932363f88ea7, 0x01fc6d9e13f9c47b, 0x03bcbffc2bbf734e,
0x013ee3c3647f3a92, 0x029409fefe75d07d, 0x00ef9199963d85e5},
{0x011173743ad5b178, 0x02499c7c21bf7d46, 0x035beaeabb8b1a58,
0x00f989c4752ea0a3, 0x0101e1de48a9c1a3, 0x01a20076be28ba6c,
0x02f8052e5eb2de95, 0x01bfe8f82dea117c, 0x0160074d3c36ddb7},
{1, 0, 0, 0, 0, 0, 0, 0, 0}},
{{0x012f3fc373393b3b, 0x03d3d6172f1419fa, 0x02adc943c0b86873,
0x00d475584177952b, 0x012a4d1673750ee2, 0x00512517a0f13b0c,
0x02b184671a7b1734, 0x0315b84236f1a50a, 0x00a4afc472edbdb9},
{0x00152a7077f385c4, 0x03044007d8d1c2ee, 0x0065829d61d52b52,
0x00494ff6b6631d0d, 0x00a11d94d5f06bcf, 0x02d2f89474d9282e,
0x0241c5727c06eeb9, 0x0386928710fbdb9d, 0x01f883f727b0dfbe},
{1, 0, 0, 0, 0, 0, 0, 0, 0}},
{{0x019b0c3c9185544d, 0x006243a37c9d97db, 0x02ee3cbe030a2ad2,
0x00cfdd946bb51e0d, 0x0271c00932606b91, 0x03f817d1ec68c561,
0x03f37009806a369c, 0x03c1f30baf184fd5, 0x01091022d6d2f065},
{0x0292c583514c45ed, 0x0316fca51f9a286c, 0x00300af507c1489a,
0x0295f69008298cf1, 0x02c0ed8274943d7b, 0x016509b9b47a431e,
0x02bc9de9634868ce, 0x005b34929bffcb09, 0x000c1a0121681524},
{1, 0, 0, 0, 0, 0, 0, 0, 0}},
{{0x0286abc0292fb9f2, 0x02665eee9805b3f7, 0x01ed7455f17f26d6,
0x0346355b83175d13, 0x006284944cd0a097, 0x0191895bcdec5e51,
0x02e288370afda7d9, 0x03b22312bfefa67a, 0x01d104d3fc0613fe},
{0x0092421a12f7e47f, 0x0077a83fa373c501, 0x03bd25c5f696bd0d,
0x035c41e4d5459761, 0x01ca0d1742b24f53, 0x00aaab27863a509c,
0x018b6de47df73917, 0x025c0b771705cd01, 0x01fd51d566d760a7},
{1, 0, 0, 0, 0, 0, 0, 0, 0}},
{{0x01dd92ff6b0d1dbd, 0x039c5e2e8f8afa69, 0x0261ed13242c3b27,
0x0382c6e67026e6a0, 0x01d60b10be2089f9, 0x03c15f3dce86723f,
0x03c764a32d2a062d, 0x017307eac0fad056, 0x018207c0b96c5256},
{0x0196a16d60e13154, 0x03e6ce74c0267030, 0x00ddbf2b4e52a5aa,
0x012738241bbf31c8, 0x00ebe8dc04685a28, 0x024c2ad6d380d4a2,
0x035ee062a6e62d0e, 0x0029ed74af7d3a0f, 0x00eef32aec142ebd},
{1, 0, 0, 0, 0, 0, 0, 0, 0}},
{{0x00c31ec398993b39, 0x03a9f45bcda68253, 0x00ac733c24c70890,
0x00872b111401ff01, 0x01d178c23195eafb, 0x03bca2c816b87f74,
0x0261a9af46fbad7a, 0x0324b2a8dd3d28f9, 0x00918121d8f24e23},
{0x032bc8c1ca983cd7, 0x00d869dfb08fc8c6, 0x01693cb61fce1516,
0x012a5ea68f4e88a8, 0x010869cab88d7ae3, 0x009081ad277ceee1,
0x033a77166d064cdc, 0x03955235a1fb3a95, 0x01251a4a9b25b65e},
{1, 0, 0, 0, 0, 0, 0, 0, 0}},
{{0x00148a3a1b27f40b, 0x0123186df1b31fdc, 0x00026e7beaad34ce,
0x01db446ac1d3dbba, 0x0299c1a33437eaec, 0x024540610183cbb7,
0x0173bb0e9ce92e46, 0x02b937e43921214b, 0x01ab0436a9bf01b5},
{0x0383381640d46948, 0x008dacbf0e7f330f, 0x03602122bcc3f318,
0x01ee596b200620d6, 0x03bd0585fda430b3, 0x014aed77fd123a83,
0x005ace749e52f742, 0x0390fe041da2b842, 0x0189a8ceb3299242},
{1, 0, 0, 0, 0, 0, 0, 0, 0}},
{{0x012a19d6b3282473, 0x00c0915918b423ce, 0x023a954eb94405ae,
0x00529f692be26158, 0x0289fa1b6fa4b2aa, 0x0198ae4ceea346ef,
0x0047d8cdfbdedd49, 0x00cc8c8953f0f6b8, 0x001424abbff49203},
{0x0256732a1115a03a, 0x0351bc38665c6733, 0x03f7b950fb4a6447,
0x000afffa94c22155, 0x025763d0a4dab540, 0x000511e92d4fc283,
0x030a7e9eda0ee96c, 0x004c3cd93a28bf0a, 0x017edb3a8719217f},
{1, 0, 0, 0, 0, 0, 0, 0, 0}},
{{0x011de5675a88e673, 0x031d7d0f5e567fbe, 0x0016b2062c970ae5,
0x03f4a2be49d90aa7, 0x03cef0bd13822866, 0x03f0923dcf774a6c,
0x0284bebc4f322f72, 0x016ab2645302bb2c, 0x01793f95dace0e2a},
{0x010646e13527a28f, 0x01ca1babd59dc5e7, 0x01afedfd9a5595df,
0x01f15785212ea6b1, 0x0324e5d64f6ae3f4, 0x02d680f526d00645,
0x0127920fadf627a7, 0x03b383f75df4f684, 0x0089e0057e783b0a},
{1, 0, 0, 0, 0, 0, 0, 0, 0}},
{{0x00f334b9eb3c26c6, 0x0298fdaa98568dce, 0x01c2d24843a82292,
0x020bcb24fa1b0711, 0x02cbdb3d2b1875e6, 0x0014907598f89422,
0x03abe3aa43b26664, 0x02cbf47f720bc168, 0x0133b5e73014b79b},
{0x034aab5dab05779d, 0x00cdc5d71fee9abb, 0x0399f16bd4bd9d30,
0x03582fa592d82647, 0x02be1cdfb775b0e9, 0x0034f7cea32e94cb,
0x0335a7f08f56f286, 0x03b707e9565d1c8b, 0x0015c946ea5b614f},
{1, 0, 0, 0, 0, 0, 0, 0, 0}},
{{0x024676f6cff72255, 0x00d14625cac96378, 0x00532b6008bc3767,
0x01fc16721b985322, 0x023355ea1b091668, 0x029de7afdc0317c3,
0x02fc8a7ca2da037c, 0x02de1217d74a6f30, 0x013f7173175b73bf},
{0x0344913f441490b5, 0x0200f9e272b61eca, 0x0258a246b1dd55d2,
0x03753db9ea496f36, 0x025e02937a09c5ef, 0x030cbd3d14012692,
0x01793a67e70dc72a, 0x03ec1d37048a662e, 0x006550f700c32a8d},
{1, 0, 0, 0, 0, 0, 0, 0, 0}},
{{0x00d3f48a347eba27, 0x008e636649b61bd8, 0x00d3b93716778fb3,
0x004d1915757bd209, 0x019d5311a3da44e0, 0x016d1afcbbe6aade,
0x0241bf5f73265616, 0x0384672e5d50d39b, 0x005009fee522b684},
{0x029b4fab064435fe, 0x018868ee095bbb07, 0x01ea3d6936cc92b8,
0x000608b00f78a2f3, 0x02db911073d1c20f, 0x018205938470100a,
0x01f1e4964cbe6ff2, 0x021a19a29eed4663, 0x01414485f42afa81},
{1, 0, 0, 0, 0, 0, 0, 0, 0}},
{{0x01612b3a17f63e34, 0x03813992885428e6, 0x022b3c215b5a9608,
0x029b4057e19f2fcb, 0x0384059a587af7e6, 0x02d6400ace6fe610,
0x029354d896e8e331, 0x00c047ee6dfba65e, 0x0037720542e9d49d},
{0x02ce9eed7c5e9278, 0x0374ed703e79643b, 0x01316c54c4072006,
0x005aaa09054b2ee8, 0x002824000c840d57, 0x03d4eba24771ed86,
0x0189c50aabc3bdae, 0x0338c01541e15510, 0x00466d56e38eed42},
{1, 0, 0, 0, 0, 0, 0, 0, 0}},
{{0x007efd8330ad8bd6, 0x02465ed48047710b, 0x0034c6606b215e0c,
0x016ae30c53cbf839, 0x01fa17bd37161216, 0x018ead4e61ce8ab9,
0x005482ed5f5dee46, 0x037543755bba1d7f, 0x005e5ac7e70a9d0f},
{0x0117e1bb2fdcb2a2, 0x03deea36249f40c4, 0x028d09b4a6246cb7,
0x03524b8855bcf756, 0x023d7d109d5ceb58, 0x0178e43e3223ef9c,
0x0154536a0c6e966a, 0x037964d1286ee9fe, 0x0199bcd90e125055},
{1, 0, 0, 0, 0, 0, 0, 0, 0}}
};
/*
* select_point selects the |idx|th point from a precomputation table and
* copies it to out.
*/
/* pre_comp below is of the size provided in |size| */
static void select_point(const limb idx, unsigned int size,
const felem pre_comp[][3], felem out[3])
{
unsigned i, j;
limb *outlimbs = &out[0][0];
memset(out, 0, sizeof(*out) * 3);
for (i = 0; i < size; i++) {
const limb *inlimbs = &pre_comp[i][0][0];
limb mask = i ^ idx;
mask |= mask >> 4;
mask |= mask >> 2;
mask |= mask >> 1;
mask &= 1;
mask--;
for (j = 0; j < NLIMBS * 3; j++)
outlimbs[j] |= inlimbs[j] & mask;
}
}
/* get_bit returns the |i|th bit in |in| */
static char get_bit(const felem_bytearray in, int i)
{
if (i < 0)
return 0;
return (in[i >> 3] >> (i & 7)) & 1;
}
/*
* Interleaved point multiplication using precomputed point multiples: The
* small point multiples 0*P, 1*P, ..., 16*P are in pre_comp[], the scalars
* in scalars[]. If g_scalar is non-NULL, we also add this multiple of the
* generator, using certain (large) precomputed multiples in g_pre_comp.
* Output point (X, Y, Z) is stored in x_out, y_out, z_out
*/
static void batch_mul(felem x_out, felem y_out, felem z_out,
const felem_bytearray scalars[],
const unsigned num_points, const u8 *g_scalar,
const int mixed, const felem pre_comp[][17][3],
const felem g_pre_comp[16][3])
{
int i, skip;
unsigned num, gen_mul = (g_scalar != NULL);
felem nq[3], tmp[4];
limb bits;
u8 sign, digit;
/* set nq to the point at infinity */
memset(nq, 0, sizeof(nq));
/*
* Loop over all scalars msb-to-lsb, interleaving additions of multiples
* of the generator (last quarter of rounds) and additions of other
* points multiples (every 5th round).
*/
skip = 1; /* save two point operations in the first
* round */
for (i = (num_points ? 520 : 130); i >= 0; --i) {
/* double */
if (!skip)
point_double(nq[0], nq[1], nq[2], nq[0], nq[1], nq[2]);
/* add multiples of the generator */
if (gen_mul && (i <= 130)) {
bits = get_bit(g_scalar, i + 390) << 3;
if (i < 130) {
bits |= get_bit(g_scalar, i + 260) << 2;
bits |= get_bit(g_scalar, i + 130) << 1;
bits |= get_bit(g_scalar, i);
}
/* select the point to add, in constant time */
select_point(bits, 16, g_pre_comp, tmp);
if (!skip) {
/* The 1 argument below is for "mixed" */
point_add(nq[0], nq[1], nq[2],
nq[0], nq[1], nq[2], 1, tmp[0], tmp[1], tmp[2]);
} else {
memcpy(nq, tmp, 3 * sizeof(felem));
skip = 0;
}
}
/* do other additions every 5 doublings */
if (num_points && (i % 5 == 0)) {
/* loop over all scalars */
for (num = 0; num < num_points; ++num) {
bits = get_bit(scalars[num], i + 4) << 5;
bits |= get_bit(scalars[num], i + 3) << 4;
bits |= get_bit(scalars[num], i + 2) << 3;
bits |= get_bit(scalars[num], i + 1) << 2;
bits |= get_bit(scalars[num], i) << 1;
bits |= get_bit(scalars[num], i - 1);
ossl_ec_GFp_nistp_recode_scalar_bits(&sign, &digit, bits);
/*
* select the point to add or subtract, in constant time
*/
select_point(digit, 17, pre_comp[num], tmp);
felem_neg(tmp[3], tmp[1]); /* (X, -Y, Z) is the negative
* point */
copy_conditional(tmp[1], tmp[3], (-(limb) sign));
if (!skip) {
point_add(nq[0], nq[1], nq[2],
nq[0], nq[1], nq[2],
mixed, tmp[0], tmp[1], tmp[2]);
} else {
memcpy(nq, tmp, 3 * sizeof(felem));
skip = 0;
}
}
}
}
felem_assign(x_out, nq[0]);
felem_assign(y_out, nq[1]);
felem_assign(z_out, nq[2]);
}
/* Precomputation for the group generator. */
struct nistp521_pre_comp_st {
felem g_pre_comp[16][3];
CRYPTO_REF_COUNT references;
};
const EC_METHOD *EC_GFp_nistp521_method(void)
{
static const EC_METHOD ret = {
EC_FLAGS_DEFAULT_OCT,
NID_X9_62_prime_field,
ossl_ec_GFp_nistp521_group_init,
ossl_ec_GFp_simple_group_finish,
ossl_ec_GFp_simple_group_clear_finish,
ossl_ec_GFp_nist_group_copy,
ossl_ec_GFp_nistp521_group_set_curve,
ossl_ec_GFp_simple_group_get_curve,
ossl_ec_GFp_simple_group_get_degree,
ossl_ec_group_simple_order_bits,
ossl_ec_GFp_simple_group_check_discriminant,
ossl_ec_GFp_simple_point_init,
ossl_ec_GFp_simple_point_finish,
ossl_ec_GFp_simple_point_clear_finish,
ossl_ec_GFp_simple_point_copy,
ossl_ec_GFp_simple_point_set_to_infinity,
ossl_ec_GFp_simple_point_set_affine_coordinates,
ossl_ec_GFp_nistp521_point_get_affine_coordinates,
0 /* point_set_compressed_coordinates */ ,
0 /* point2oct */ ,
0 /* oct2point */ ,
ossl_ec_GFp_simple_add,
ossl_ec_GFp_simple_dbl,
ossl_ec_GFp_simple_invert,
ossl_ec_GFp_simple_is_at_infinity,
ossl_ec_GFp_simple_is_on_curve,
ossl_ec_GFp_simple_cmp,
ossl_ec_GFp_simple_make_affine,
ossl_ec_GFp_simple_points_make_affine,
ossl_ec_GFp_nistp521_points_mul,
ossl_ec_GFp_nistp521_precompute_mult,
ossl_ec_GFp_nistp521_have_precompute_mult,
ossl_ec_GFp_nist_field_mul,
ossl_ec_GFp_nist_field_sqr,
0 /* field_div */ ,
ossl_ec_GFp_simple_field_inv,
0 /* field_encode */ ,
0 /* field_decode */ ,
0, /* field_set_to_one */
ossl_ec_key_simple_priv2oct,
ossl_ec_key_simple_oct2priv,
0, /* set private */
ossl_ec_key_simple_generate_key,
ossl_ec_key_simple_check_key,
ossl_ec_key_simple_generate_public_key,
0, /* keycopy */
0, /* keyfinish */
ossl_ecdh_simple_compute_key,
ossl_ecdsa_simple_sign_setup,
ossl_ecdsa_simple_sign_sig,
ossl_ecdsa_simple_verify_sig,
0, /* field_inverse_mod_ord */
0, /* blind_coordinates */
0, /* ladder_pre */
0, /* ladder_step */
0 /* ladder_post */
};
return &ret;
}
/******************************************************************************/
/*
* FUNCTIONS TO MANAGE PRECOMPUTATION
*/
static NISTP521_PRE_COMP *nistp521_pre_comp_new(void)
{
NISTP521_PRE_COMP *ret = OPENSSL_zalloc(sizeof(*ret));
if (ret == NULL)
return ret;
if (!CRYPTO_NEW_REF(&ret->references, 1)) {
OPENSSL_free(ret);
return NULL;
}
return ret;
}
NISTP521_PRE_COMP *EC_nistp521_pre_comp_dup(NISTP521_PRE_COMP *p)
{
int i;
if (p != NULL)
CRYPTO_UP_REF(&p->references, &i);
return p;
}
void EC_nistp521_pre_comp_free(NISTP521_PRE_COMP *p)
{
int i;
if (p == NULL)
return;
CRYPTO_DOWN_REF(&p->references, &i);
REF_PRINT_COUNT("EC_nistp521", p);
if (i > 0)
return;
REF_ASSERT_ISNT(i < 0);
CRYPTO_FREE_REF(&p->references);
OPENSSL_free(p);
}
/******************************************************************************/
/*
* OPENSSL EC_METHOD FUNCTIONS
*/
int ossl_ec_GFp_nistp521_group_init(EC_GROUP *group)
{
int ret;
ret = ossl_ec_GFp_simple_group_init(group);
group->a_is_minus3 = 1;
return ret;
}
int ossl_ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p,
const BIGNUM *a, const BIGNUM *b,
BN_CTX *ctx)
{
int ret = 0;
BIGNUM *curve_p, *curve_a, *curve_b;
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
if (ctx == NULL)
ctx = new_ctx = BN_CTX_new();
#endif
if (ctx == NULL)
return 0;
BN_CTX_start(ctx);
curve_p = BN_CTX_get(ctx);
curve_a = BN_CTX_get(ctx);
curve_b = BN_CTX_get(ctx);
if (curve_b == NULL)
goto err;
BN_bin2bn(nistp521_curve_params[0], sizeof(felem_bytearray), curve_p);
BN_bin2bn(nistp521_curve_params[1], sizeof(felem_bytearray), curve_a);
BN_bin2bn(nistp521_curve_params[2], sizeof(felem_bytearray), curve_b);
if ((BN_cmp(curve_p, p)) || (BN_cmp(curve_a, a)) || (BN_cmp(curve_b, b))) {
ERR_raise(ERR_LIB_EC, EC_R_WRONG_CURVE_PARAMETERS);
goto err;
}
group->field_mod_func = BN_nist_mod_521;
ret = ossl_ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
err:
BN_CTX_end(ctx);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
return ret;
}
/*
* Takes the Jacobian coordinates (X, Y, Z) of a point and returns (X', Y') =
* (X/Z^2, Y/Z^3)
*/
int ossl_ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group,
const EC_POINT *point,
BIGNUM *x, BIGNUM *y,
BN_CTX *ctx)
{
felem z1, z2, x_in, y_in, x_out, y_out;
largefelem tmp;
if (EC_POINT_is_at_infinity(group, point)) {
ERR_raise(ERR_LIB_EC, EC_R_POINT_AT_INFINITY);
return 0;
}
if ((!BN_to_felem(x_in, point->X)) || (!BN_to_felem(y_in, point->Y)) ||
(!BN_to_felem(z1, point->Z)))
return 0;
felem_inv(z2, z1);
felem_square(tmp, z2);
felem_reduce(z1, tmp);
felem_mul(tmp, x_in, z1);
felem_reduce(x_in, tmp);
felem_contract(x_out, x_in);
if (x != NULL) {
if (!felem_to_BN(x, x_out)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return 0;
}
}
felem_mul(tmp, z1, z2);
felem_reduce(z1, tmp);
felem_mul(tmp, y_in, z1);
felem_reduce(y_in, tmp);
felem_contract(y_out, y_in);
if (y != NULL) {
if (!felem_to_BN(y, y_out)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
return 0;
}
}
return 1;
}
/* points below is of size |num|, and tmp_felems is of size |num+1/ */
static void make_points_affine(size_t num, felem points[][3],
felem tmp_felems[])
{
/*
* Runs in constant time, unless an input is the point at infinity (which
* normally shouldn't happen).
*/
ossl_ec_GFp_nistp_points_make_affine_internal(num,
points,
sizeof(felem),
tmp_felems,
(void (*)(void *))felem_one,
felem_is_zero_int,
(void (*)(void *, const void *))
felem_assign,
(void (*)(void *, const void *))
felem_square_reduce, (void (*)
(void *,
const void
*,
const void
*))
felem_mul_reduce,
(void (*)(void *, const void *))
felem_inv,
(void (*)(void *, const void *))
felem_contract);
}
/*
* Computes scalar*generator + \sum scalars[i]*points[i], ignoring NULL
* values Result is stored in r (r can equal one of the inputs).
*/
int ossl_ec_GFp_nistp521_points_mul(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar, size_t num,
const EC_POINT *points[],
const BIGNUM *scalars[], BN_CTX *ctx)
{
int ret = 0;
int j;
int mixed = 0;
BIGNUM *x, *y, *z, *tmp_scalar;
felem_bytearray g_secret;
felem_bytearray *secrets = NULL;
felem (*pre_comp)[17][3] = NULL;
felem *tmp_felems = NULL;
unsigned i;
int num_bytes;
int have_pre_comp = 0;
size_t num_points = num;
felem x_in, y_in, z_in, x_out, y_out, z_out;
NISTP521_PRE_COMP *pre = NULL;
felem(*g_pre_comp)[3] = NULL;
EC_POINT *generator = NULL;
const EC_POINT *p = NULL;
const BIGNUM *p_scalar = NULL;
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
z = BN_CTX_get(ctx);
tmp_scalar = BN_CTX_get(ctx);
if (tmp_scalar == NULL)
goto err;
if (scalar != NULL) {
pre = group->pre_comp.nistp521;
if (pre)
/* we have precomputation, try to use it */
g_pre_comp = &pre->g_pre_comp[0];
else
/* try to use the standard precomputation */
g_pre_comp = (felem(*)[3]) gmul;
generator = EC_POINT_new(group);
if (generator == NULL)
goto err;
/* get the generator from precomputation */
if (!felem_to_BN(x, g_pre_comp[1][0]) ||
!felem_to_BN(y, g_pre_comp[1][1]) ||
!felem_to_BN(z, g_pre_comp[1][2])) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if (!ossl_ec_GFp_simple_set_Jprojective_coordinates_GFp(group,
generator,
x, y, z, ctx))
goto err;
if (0 == EC_POINT_cmp(group, generator, group->generator, ctx))
/* precomputation matches generator */
have_pre_comp = 1;
else
/*
* we don't have valid precomputation: treat the generator as a
* random point
*/
num_points++;
}
if (num_points > 0) {
if (num_points >= 2) {
/*
* unless we precompute multiples for just one point, converting
* those into affine form is time well spent
*/
mixed = 1;
}
secrets = OPENSSL_zalloc(sizeof(*secrets) * num_points);
pre_comp = OPENSSL_zalloc(sizeof(*pre_comp) * num_points);
if (mixed)
tmp_felems =
OPENSSL_malloc(sizeof(*tmp_felems) * (num_points * 17 + 1));
if ((secrets == NULL) || (pre_comp == NULL)
|| (mixed && (tmp_felems == NULL)))
goto err;
/*
* we treat NULL scalars as 0, and NULL points as points at infinity,
* i.e., they contribute nothing to the linear combination
*/
for (i = 0; i < num_points; ++i) {
if (i == num) {
/*
* we didn't have a valid precomputation, so we pick the
* generator
*/
p = EC_GROUP_get0_generator(group);
p_scalar = scalar;
} else {
/* the i^th point */
p = points[i];
p_scalar = scalars[i];
}
if ((p_scalar != NULL) && (p != NULL)) {
/* reduce scalar to 0 <= scalar < 2^521 */
if ((BN_num_bits(p_scalar) > 521)
|| (BN_is_negative(p_scalar))) {
/*
* this is an unusual input, and we don't guarantee
* constant-timeness
*/
if (!BN_nnmod(tmp_scalar, p_scalar, group->order, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
num_bytes = BN_bn2lebinpad(tmp_scalar,
secrets[i], sizeof(secrets[i]));
} else {
num_bytes = BN_bn2lebinpad(p_scalar,
secrets[i], sizeof(secrets[i]));
}
if (num_bytes < 0) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* precompute multiples */
if ((!BN_to_felem(x_out, p->X)) ||
(!BN_to_felem(y_out, p->Y)) ||
(!BN_to_felem(z_out, p->Z)))
goto err;
memcpy(pre_comp[i][1][0], x_out, sizeof(felem));
memcpy(pre_comp[i][1][1], y_out, sizeof(felem));
memcpy(pre_comp[i][1][2], z_out, sizeof(felem));
for (j = 2; j <= 16; ++j) {
if (j & 1) {
point_add(pre_comp[i][j][0], pre_comp[i][j][1],
pre_comp[i][j][2], pre_comp[i][1][0],
pre_comp[i][1][1], pre_comp[i][1][2], 0,
pre_comp[i][j - 1][0],
pre_comp[i][j - 1][1],
pre_comp[i][j - 1][2]);
} else {
point_double(pre_comp[i][j][0], pre_comp[i][j][1],
pre_comp[i][j][2], pre_comp[i][j / 2][0],
pre_comp[i][j / 2][1],
pre_comp[i][j / 2][2]);
}
}
}
}
if (mixed)
make_points_affine(num_points * 17, pre_comp[0], tmp_felems);
}
/* the scalar for the generator */
if ((scalar != NULL) && (have_pre_comp)) {
memset(g_secret, 0, sizeof(g_secret));
/* reduce scalar to 0 <= scalar < 2^521 */
if ((BN_num_bits(scalar) > 521) || (BN_is_negative(scalar))) {
/*
* this is an unusual input, and we don't guarantee
* constant-timeness
*/
if (!BN_nnmod(tmp_scalar, scalar, group->order, ctx)) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
num_bytes = BN_bn2lebinpad(tmp_scalar, g_secret, sizeof(g_secret));
} else {
num_bytes = BN_bn2lebinpad(scalar, g_secret, sizeof(g_secret));
}
/* do the multiplication with generator precomputation */
batch_mul(x_out, y_out, z_out,
(const felem_bytearray(*))secrets, num_points,
g_secret,
mixed, (const felem(*)[17][3])pre_comp,
(const felem(*)[3])g_pre_comp);
} else {
/* do the multiplication without generator precomputation */
batch_mul(x_out, y_out, z_out,
(const felem_bytearray(*))secrets, num_points,
NULL, mixed, (const felem(*)[17][3])pre_comp, NULL);
}
/* reduce the output to its unique minimal representation */
felem_contract(x_in, x_out);
felem_contract(y_in, y_out);
felem_contract(z_in, z_out);
if ((!felem_to_BN(x, x_in)) || (!felem_to_BN(y, y_in)) ||
(!felem_to_BN(z, z_in))) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
ret = ossl_ec_GFp_simple_set_Jprojective_coordinates_GFp(group, r, x, y, z,
ctx);
err:
BN_CTX_end(ctx);
EC_POINT_free(generator);
OPENSSL_free(secrets);
OPENSSL_free(pre_comp);
OPENSSL_free(tmp_felems);
return ret;
}
int ossl_ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
{
int ret = 0;
NISTP521_PRE_COMP *pre = NULL;
int i, j;
BIGNUM *x, *y;
EC_POINT *generator = NULL;
felem tmp_felems[16];
#ifndef FIPS_MODULE
BN_CTX *new_ctx = NULL;
#endif
/* throw away old precomputation */
EC_pre_comp_free(group);
#ifndef FIPS_MODULE
if (ctx == NULL)
ctx = new_ctx = BN_CTX_new();
#endif
if (ctx == NULL)
return 0;
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
if (y == NULL)
goto err;
/* get the generator */
if (group->generator == NULL)
goto err;
generator = EC_POINT_new(group);
if (generator == NULL)
goto err;
BN_bin2bn(nistp521_curve_params[3], sizeof(felem_bytearray), x);
BN_bin2bn(nistp521_curve_params[4], sizeof(felem_bytearray), y);
if (!EC_POINT_set_affine_coordinates(group, generator, x, y, ctx))
goto err;
if ((pre = nistp521_pre_comp_new()) == NULL)
goto err;
/*
* if the generator is the standard one, use built-in precomputation
*/
if (0 == EC_POINT_cmp(group, generator, group->generator, ctx)) {
memcpy(pre->g_pre_comp, gmul, sizeof(pre->g_pre_comp));
goto done;
}
if ((!BN_to_felem(pre->g_pre_comp[1][0], group->generator->X)) ||
(!BN_to_felem(pre->g_pre_comp[1][1], group->generator->Y)) ||
(!BN_to_felem(pre->g_pre_comp[1][2], group->generator->Z)))
goto err;
/* compute 2^130*G, 2^260*G, 2^390*G */
for (i = 1; i <= 4; i <<= 1) {
point_double(pre->g_pre_comp[2 * i][0], pre->g_pre_comp[2 * i][1],
pre->g_pre_comp[2 * i][2], pre->g_pre_comp[i][0],
pre->g_pre_comp[i][1], pre->g_pre_comp[i][2]);
for (j = 0; j < 129; ++j) {
point_double(pre->g_pre_comp[2 * i][0],
pre->g_pre_comp[2 * i][1],
pre->g_pre_comp[2 * i][2],
pre->g_pre_comp[2 * i][0],
pre->g_pre_comp[2 * i][1],
pre->g_pre_comp[2 * i][2]);
}
}
/* g_pre_comp[0] is the point at infinity */
memset(pre->g_pre_comp[0], 0, sizeof(pre->g_pre_comp[0]));
/* the remaining multiples */
/* 2^130*G + 2^260*G */
point_add(pre->g_pre_comp[6][0], pre->g_pre_comp[6][1],
pre->g_pre_comp[6][2], pre->g_pre_comp[4][0],
pre->g_pre_comp[4][1], pre->g_pre_comp[4][2],
0, pre->g_pre_comp[2][0], pre->g_pre_comp[2][1],
pre->g_pre_comp[2][2]);
/* 2^130*G + 2^390*G */
point_add(pre->g_pre_comp[10][0], pre->g_pre_comp[10][1],
pre->g_pre_comp[10][2], pre->g_pre_comp[8][0],
pre->g_pre_comp[8][1], pre->g_pre_comp[8][2],
0, pre->g_pre_comp[2][0], pre->g_pre_comp[2][1],
pre->g_pre_comp[2][2]);
/* 2^260*G + 2^390*G */
point_add(pre->g_pre_comp[12][0], pre->g_pre_comp[12][1],
pre->g_pre_comp[12][2], pre->g_pre_comp[8][0],
pre->g_pre_comp[8][1], pre->g_pre_comp[8][2],
0, pre->g_pre_comp[4][0], pre->g_pre_comp[4][1],
pre->g_pre_comp[4][2]);
/* 2^130*G + 2^260*G + 2^390*G */
point_add(pre->g_pre_comp[14][0], pre->g_pre_comp[14][1],
pre->g_pre_comp[14][2], pre->g_pre_comp[12][0],
pre->g_pre_comp[12][1], pre->g_pre_comp[12][2],
0, pre->g_pre_comp[2][0], pre->g_pre_comp[2][1],
pre->g_pre_comp[2][2]);
for (i = 1; i < 8; ++i) {
/* odd multiples: add G */
point_add(pre->g_pre_comp[2 * i + 1][0],
pre->g_pre_comp[2 * i + 1][1],
pre->g_pre_comp[2 * i + 1][2], pre->g_pre_comp[2 * i][0],
pre->g_pre_comp[2 * i][1], pre->g_pre_comp[2 * i][2], 0,
pre->g_pre_comp[1][0], pre->g_pre_comp[1][1],
pre->g_pre_comp[1][2]);
}
make_points_affine(15, &(pre->g_pre_comp[1]), tmp_felems);
done:
SETPRECOMP(group, nistp521, pre);
ret = 1;
pre = NULL;
err:
BN_CTX_end(ctx);
EC_POINT_free(generator);
#ifndef FIPS_MODULE
BN_CTX_free(new_ctx);
#endif
EC_nistp521_pre_comp_free(pre);
return ret;
}
int ossl_ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group)
{
return HAVEPRECOMP(group, nistp521);
}
|
./openssl/crypto/ec/ec_asn1.c | /*
* Copyright 2002-2021 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <string.h>
#include "ec_local.h"
#include <openssl/err.h>
#include <openssl/asn1t.h>
#include <openssl/objects.h>
#include "internal/nelem.h"
#include "crypto/asn1.h"
#include "crypto/asn1_dsa.h"
#ifndef FIPS_MODULE
/* some structures needed for the asn1 encoding */
typedef struct x9_62_pentanomial_st {
int32_t k1;
int32_t k2;
int32_t k3;
} X9_62_PENTANOMIAL;
typedef struct x9_62_characteristic_two_st {
int32_t m;
ASN1_OBJECT *type;
union {
char *ptr;
/* NID_X9_62_onBasis */
ASN1_NULL *onBasis;
/* NID_X9_62_tpBasis */
ASN1_INTEGER *tpBasis;
/* NID_X9_62_ppBasis */
X9_62_PENTANOMIAL *ppBasis;
/* anything else */
ASN1_TYPE *other;
} p;
} X9_62_CHARACTERISTIC_TWO;
typedef struct x9_62_fieldid_st {
ASN1_OBJECT *fieldType;
union {
char *ptr;
/* NID_X9_62_prime_field */
ASN1_INTEGER *prime;
/* NID_X9_62_characteristic_two_field */
X9_62_CHARACTERISTIC_TWO *char_two;
/* anything else */
ASN1_TYPE *other;
} p;
} X9_62_FIELDID;
typedef struct x9_62_curve_st {
ASN1_OCTET_STRING *a;
ASN1_OCTET_STRING *b;
ASN1_BIT_STRING *seed;
} X9_62_CURVE;
struct ec_parameters_st {
int32_t version;
X9_62_FIELDID *fieldID;
X9_62_CURVE *curve;
ASN1_OCTET_STRING *base;
ASN1_INTEGER *order;
ASN1_INTEGER *cofactor;
} /* ECPARAMETERS */ ;
typedef enum {
ECPKPARAMETERS_TYPE_NAMED = 0,
ECPKPARAMETERS_TYPE_EXPLICIT,
ECPKPARAMETERS_TYPE_IMPLICIT
} ecpk_parameters_type_t;
struct ecpk_parameters_st {
int type;
union {
ASN1_OBJECT *named_curve;
ECPARAMETERS *parameters;
ASN1_NULL *implicitlyCA;
} value;
} /* ECPKPARAMETERS */ ;
/* SEC1 ECPrivateKey */
typedef struct ec_privatekey_st {
int32_t version;
ASN1_OCTET_STRING *privateKey;
ECPKPARAMETERS *parameters;
ASN1_BIT_STRING *publicKey;
} EC_PRIVATEKEY;
/* the OpenSSL ASN.1 definitions */
ASN1_SEQUENCE(X9_62_PENTANOMIAL) = {
ASN1_EMBED(X9_62_PENTANOMIAL, k1, INT32),
ASN1_EMBED(X9_62_PENTANOMIAL, k2, INT32),
ASN1_EMBED(X9_62_PENTANOMIAL, k3, INT32)
} static_ASN1_SEQUENCE_END(X9_62_PENTANOMIAL)
DECLARE_ASN1_ALLOC_FUNCTIONS(X9_62_PENTANOMIAL)
IMPLEMENT_ASN1_ALLOC_FUNCTIONS(X9_62_PENTANOMIAL)
ASN1_ADB_TEMPLATE(char_two_def) = ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, p.other, ASN1_ANY);
ASN1_ADB(X9_62_CHARACTERISTIC_TWO) = {
ADB_ENTRY(NID_X9_62_onBasis, ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, p.onBasis, ASN1_NULL)),
ADB_ENTRY(NID_X9_62_tpBasis, ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, p.tpBasis, ASN1_INTEGER)),
ADB_ENTRY(NID_X9_62_ppBasis, ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, p.ppBasis, X9_62_PENTANOMIAL))
} ASN1_ADB_END(X9_62_CHARACTERISTIC_TWO, 0, type, 0, &char_two_def_tt, NULL);
ASN1_SEQUENCE(X9_62_CHARACTERISTIC_TWO) = {
ASN1_EMBED(X9_62_CHARACTERISTIC_TWO, m, INT32),
ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, type, ASN1_OBJECT),
ASN1_ADB_OBJECT(X9_62_CHARACTERISTIC_TWO)
} static_ASN1_SEQUENCE_END(X9_62_CHARACTERISTIC_TWO)
DECLARE_ASN1_ALLOC_FUNCTIONS(X9_62_CHARACTERISTIC_TWO)
IMPLEMENT_ASN1_ALLOC_FUNCTIONS(X9_62_CHARACTERISTIC_TWO)
ASN1_ADB_TEMPLATE(fieldID_def) = ASN1_SIMPLE(X9_62_FIELDID, p.other, ASN1_ANY);
ASN1_ADB(X9_62_FIELDID) = {
ADB_ENTRY(NID_X9_62_prime_field, ASN1_SIMPLE(X9_62_FIELDID, p.prime, ASN1_INTEGER)),
ADB_ENTRY(NID_X9_62_characteristic_two_field, ASN1_SIMPLE(X9_62_FIELDID, p.char_two, X9_62_CHARACTERISTIC_TWO))
} ASN1_ADB_END(X9_62_FIELDID, 0, fieldType, 0, &fieldID_def_tt, NULL);
ASN1_SEQUENCE(X9_62_FIELDID) = {
ASN1_SIMPLE(X9_62_FIELDID, fieldType, ASN1_OBJECT),
ASN1_ADB_OBJECT(X9_62_FIELDID)
} static_ASN1_SEQUENCE_END(X9_62_FIELDID)
ASN1_SEQUENCE(X9_62_CURVE) = {
ASN1_SIMPLE(X9_62_CURVE, a, ASN1_OCTET_STRING),
ASN1_SIMPLE(X9_62_CURVE, b, ASN1_OCTET_STRING),
ASN1_OPT(X9_62_CURVE, seed, ASN1_BIT_STRING)
} static_ASN1_SEQUENCE_END(X9_62_CURVE)
ASN1_SEQUENCE(ECPARAMETERS) = {
ASN1_EMBED(ECPARAMETERS, version, INT32),
ASN1_SIMPLE(ECPARAMETERS, fieldID, X9_62_FIELDID),
ASN1_SIMPLE(ECPARAMETERS, curve, X9_62_CURVE),
ASN1_SIMPLE(ECPARAMETERS, base, ASN1_OCTET_STRING),
ASN1_SIMPLE(ECPARAMETERS, order, ASN1_INTEGER),
ASN1_OPT(ECPARAMETERS, cofactor, ASN1_INTEGER)
} ASN1_SEQUENCE_END(ECPARAMETERS)
DECLARE_ASN1_ALLOC_FUNCTIONS(ECPARAMETERS)
IMPLEMENT_ASN1_ALLOC_FUNCTIONS(ECPARAMETERS)
ASN1_CHOICE(ECPKPARAMETERS) = {
ASN1_SIMPLE(ECPKPARAMETERS, value.named_curve, ASN1_OBJECT),
ASN1_SIMPLE(ECPKPARAMETERS, value.parameters, ECPARAMETERS),
ASN1_SIMPLE(ECPKPARAMETERS, value.implicitlyCA, ASN1_NULL)
} ASN1_CHOICE_END(ECPKPARAMETERS)
DECLARE_ASN1_FUNCTIONS(ECPKPARAMETERS)
DECLARE_ASN1_ENCODE_FUNCTIONS_name(ECPKPARAMETERS, ECPKPARAMETERS)
IMPLEMENT_ASN1_FUNCTIONS(ECPKPARAMETERS)
ASN1_SEQUENCE(EC_PRIVATEKEY) = {
ASN1_EMBED(EC_PRIVATEKEY, version, INT32),
ASN1_SIMPLE(EC_PRIVATEKEY, privateKey, ASN1_OCTET_STRING),
ASN1_EXP_OPT(EC_PRIVATEKEY, parameters, ECPKPARAMETERS, 0),
ASN1_EXP_OPT(EC_PRIVATEKEY, publicKey, ASN1_BIT_STRING, 1)
} static_ASN1_SEQUENCE_END(EC_PRIVATEKEY)
DECLARE_ASN1_FUNCTIONS(EC_PRIVATEKEY)
DECLARE_ASN1_ENCODE_FUNCTIONS_name(EC_PRIVATEKEY, EC_PRIVATEKEY)
IMPLEMENT_ASN1_FUNCTIONS(EC_PRIVATEKEY)
/* some declarations of internal function */
/* ec_asn1_group2field() sets the values in a X9_62_FIELDID object */
static int ec_asn1_group2fieldid(const EC_GROUP *, X9_62_FIELDID *);
/* ec_asn1_group2curve() sets the values in a X9_62_CURVE object */
static int ec_asn1_group2curve(const EC_GROUP *, X9_62_CURVE *);
/* the function definitions */
static int ec_asn1_group2fieldid(const EC_GROUP *group, X9_62_FIELDID *field)
{
int ok = 0, nid;
BIGNUM *tmp = NULL;
if (group == NULL || field == NULL)
return 0;
/* clear the old values (if necessary) */
ASN1_OBJECT_free(field->fieldType);
ASN1_TYPE_free(field->p.other);
nid = EC_GROUP_get_field_type(group);
/* set OID for the field */
if ((field->fieldType = OBJ_nid2obj(nid)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_OBJ_LIB);
goto err;
}
if (nid == NID_X9_62_prime_field) {
if ((tmp = BN_new()) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* the parameters are specified by the prime number p */
if (!EC_GROUP_get_curve(group, tmp, NULL, NULL, NULL)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
/* set the prime number */
field->p.prime = BN_to_ASN1_INTEGER(tmp, NULL);
if (field->p.prime == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
} else if (nid == NID_X9_62_characteristic_two_field)
#ifdef OPENSSL_NO_EC2M
{
ERR_raise(ERR_LIB_EC, EC_R_GF2M_NOT_SUPPORTED);
goto err;
}
#else
{
int field_type;
X9_62_CHARACTERISTIC_TWO *char_two;
field->p.char_two = X9_62_CHARACTERISTIC_TWO_new();
char_two = field->p.char_two;
if (char_two == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
char_two->m = (long)EC_GROUP_get_degree(group);
field_type = EC_GROUP_get_basis_type(group);
if (field_type == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
/* set base type OID */
if ((char_two->type = OBJ_nid2obj(field_type)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_OBJ_LIB);
goto err;
}
if (field_type == NID_X9_62_tpBasis) {
unsigned int k;
if (!EC_GROUP_get_trinomial_basis(group, &k))
goto err;
char_two->p.tpBasis = ASN1_INTEGER_new();
if (char_two->p.tpBasis == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
if (!ASN1_INTEGER_set(char_two->p.tpBasis, (long)k)) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
} else if (field_type == NID_X9_62_ppBasis) {
unsigned int k1, k2, k3;
if (!EC_GROUP_get_pentanomial_basis(group, &k1, &k2, &k3))
goto err;
char_two->p.ppBasis = X9_62_PENTANOMIAL_new();
if (char_two->p.ppBasis == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
/* set k? values */
char_two->p.ppBasis->k1 = (long)k1;
char_two->p.ppBasis->k2 = (long)k2;
char_two->p.ppBasis->k3 = (long)k3;
} else { /* field_type == NID_X9_62_onBasis */
/* for ONB the parameters are (asn1) NULL */
char_two->p.onBasis = ASN1_NULL_new();
if (char_two->p.onBasis == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
}
}
#endif
else {
ERR_raise(ERR_LIB_EC, EC_R_UNSUPPORTED_FIELD);
goto err;
}
ok = 1;
err:
BN_free(tmp);
return ok;
}
static int ec_asn1_group2curve(const EC_GROUP *group, X9_62_CURVE *curve)
{
int ok = 0;
BIGNUM *tmp_1 = NULL, *tmp_2 = NULL;
unsigned char *a_buf = NULL, *b_buf = NULL;
size_t len;
if (!group || !curve || !curve->a || !curve->b)
return 0;
if ((tmp_1 = BN_new()) == NULL || (tmp_2 = BN_new()) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* get a and b */
if (!EC_GROUP_get_curve(group, NULL, tmp_1, tmp_2, NULL)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
/*
* Per SEC 1, the curve coefficients must be padded up to size. See C.2's
* definition of Curve, C.1's definition of FieldElement, and 2.3.5's
* definition of how to encode the field elements.
*/
len = ((size_t)EC_GROUP_get_degree(group) + 7) / 8;
if ((a_buf = OPENSSL_malloc(len)) == NULL
|| (b_buf = OPENSSL_malloc(len)) == NULL)
goto err;
if (BN_bn2binpad(tmp_1, a_buf, len) < 0
|| BN_bn2binpad(tmp_2, b_buf, len) < 0) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* set a and b */
if (!ASN1_OCTET_STRING_set(curve->a, a_buf, len)
|| !ASN1_OCTET_STRING_set(curve->b, b_buf, len)) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
/* set the seed (optional) */
if (group->seed) {
if (!curve->seed)
if ((curve->seed = ASN1_BIT_STRING_new()) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
ossl_asn1_string_set_bits_left(curve->seed, 0);
if (!ASN1_BIT_STRING_set(curve->seed, group->seed,
(int)group->seed_len)) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
} else {
ASN1_BIT_STRING_free(curve->seed);
curve->seed = NULL;
}
ok = 1;
err:
OPENSSL_free(a_buf);
OPENSSL_free(b_buf);
BN_free(tmp_1);
BN_free(tmp_2);
return ok;
}
ECPARAMETERS *EC_GROUP_get_ecparameters(const EC_GROUP *group,
ECPARAMETERS *params)
{
size_t len = 0;
ECPARAMETERS *ret = NULL;
const BIGNUM *tmp;
unsigned char *buffer = NULL;
const EC_POINT *point = NULL;
point_conversion_form_t form;
ASN1_INTEGER *orig;
if (params == NULL) {
if ((ret = ECPARAMETERS_new()) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
} else
ret = params;
/* set the version (always one) */
ret->version = (long)0x1;
/* set the fieldID */
if (!ec_asn1_group2fieldid(group, ret->fieldID)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
/* set the curve */
if (!ec_asn1_group2curve(group, ret->curve)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
/* set the base point */
if ((point = EC_GROUP_get0_generator(group)) == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_UNDEFINED_GENERATOR);
goto err;
}
form = EC_GROUP_get_point_conversion_form(group);
len = EC_POINT_point2buf(group, point, form, &buffer, NULL);
if (len == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (ret->base == NULL && (ret->base = ASN1_OCTET_STRING_new()) == NULL) {
OPENSSL_free(buffer);
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
ASN1_STRING_set0(ret->base, buffer, len);
/* set the order */
tmp = EC_GROUP_get0_order(group);
if (tmp == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
ret->order = BN_to_ASN1_INTEGER(tmp, orig = ret->order);
if (ret->order == NULL) {
ret->order = orig;
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
/* set the cofactor (optional) */
tmp = EC_GROUP_get0_cofactor(group);
if (tmp != NULL) {
ret->cofactor = BN_to_ASN1_INTEGER(tmp, orig = ret->cofactor);
if (ret->cofactor == NULL) {
ret->cofactor = orig;
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
}
return ret;
err:
if (params == NULL)
ECPARAMETERS_free(ret);
return NULL;
}
ECPKPARAMETERS *EC_GROUP_get_ecpkparameters(const EC_GROUP *group,
ECPKPARAMETERS *params)
{
int ok = 1, tmp;
ECPKPARAMETERS *ret = params;
if (ret == NULL) {
if ((ret = ECPKPARAMETERS_new()) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
return NULL;
}
} else {
if (ret->type == ECPKPARAMETERS_TYPE_NAMED)
ASN1_OBJECT_free(ret->value.named_curve);
else if (ret->type == ECPKPARAMETERS_TYPE_EXPLICIT
&& ret->value.parameters != NULL)
ECPARAMETERS_free(ret->value.parameters);
}
if (EC_GROUP_get_asn1_flag(group) == OPENSSL_EC_NAMED_CURVE) {
/*
* use the asn1 OID to describe the elliptic curve parameters
*/
tmp = EC_GROUP_get_curve_name(group);
if (tmp) {
ASN1_OBJECT *asn1obj = OBJ_nid2obj(tmp);
if (asn1obj == NULL || OBJ_length(asn1obj) == 0) {
ASN1_OBJECT_free(asn1obj);
ERR_raise(ERR_LIB_EC, EC_R_MISSING_OID);
ok = 0;
} else {
ret->type = ECPKPARAMETERS_TYPE_NAMED;
ret->value.named_curve = asn1obj;
}
} else
/* we don't know the nid => ERROR */
ok = 0;
} else {
/* use the ECPARAMETERS structure */
ret->type = ECPKPARAMETERS_TYPE_EXPLICIT;
if ((ret->value.parameters =
EC_GROUP_get_ecparameters(group, NULL)) == NULL)
ok = 0;
}
if (!ok) {
ECPKPARAMETERS_free(ret);
return NULL;
}
return ret;
}
EC_GROUP *EC_GROUP_new_from_ecparameters(const ECPARAMETERS *params)
{
int ok = 0, tmp;
EC_GROUP *ret = NULL, *dup = NULL;
BIGNUM *p = NULL, *a = NULL, *b = NULL;
EC_POINT *point = NULL;
long field_bits;
int curve_name = NID_undef;
BN_CTX *ctx = NULL;
if (params->fieldID == NULL
|| params->fieldID->fieldType == NULL
|| params->fieldID->p.ptr == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_ASN1_ERROR);
goto err;
}
/*
* Now extract the curve parameters a and b. Note that, although SEC 1
* specifies the length of their encodings, historical versions of OpenSSL
* encoded them incorrectly, so we must accept any length for backwards
* compatibility.
*/
if (params->curve == NULL
|| params->curve->a == NULL || params->curve->a->data == NULL
|| params->curve->b == NULL || params->curve->b->data == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_ASN1_ERROR);
goto err;
}
a = BN_bin2bn(params->curve->a->data, params->curve->a->length, NULL);
if (a == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
b = BN_bin2bn(params->curve->b->data, params->curve->b->length, NULL);
if (b == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* get the field parameters */
tmp = OBJ_obj2nid(params->fieldID->fieldType);
if (tmp == NID_X9_62_characteristic_two_field)
#ifdef OPENSSL_NO_EC2M
{
ERR_raise(ERR_LIB_EC, EC_R_GF2M_NOT_SUPPORTED);
goto err;
}
#else
{
X9_62_CHARACTERISTIC_TWO *char_two;
char_two = params->fieldID->p.char_two;
field_bits = char_two->m;
if (field_bits > OPENSSL_ECC_MAX_FIELD_BITS) {
ERR_raise(ERR_LIB_EC, EC_R_FIELD_TOO_LARGE);
goto err;
}
if ((p = BN_new()) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
/* get the base type */
tmp = OBJ_obj2nid(char_two->type);
if (tmp == NID_X9_62_tpBasis) {
long tmp_long;
if (!char_two->p.tpBasis) {
ERR_raise(ERR_LIB_EC, EC_R_ASN1_ERROR);
goto err;
}
tmp_long = ASN1_INTEGER_get(char_two->p.tpBasis);
if (!(char_two->m > tmp_long && tmp_long > 0)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_TRINOMIAL_BASIS);
goto err;
}
/* create the polynomial */
if (!BN_set_bit(p, (int)char_two->m))
goto err;
if (!BN_set_bit(p, (int)tmp_long))
goto err;
if (!BN_set_bit(p, 0))
goto err;
} else if (tmp == NID_X9_62_ppBasis) {
X9_62_PENTANOMIAL *penta;
penta = char_two->p.ppBasis;
if (penta == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_ASN1_ERROR);
goto err;
}
if (!
(char_two->m > penta->k3 && penta->k3 > penta->k2
&& penta->k2 > penta->k1 && penta->k1 > 0)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_PENTANOMIAL_BASIS);
goto err;
}
/* create the polynomial */
if (!BN_set_bit(p, (int)char_two->m))
goto err;
if (!BN_set_bit(p, (int)penta->k1))
goto err;
if (!BN_set_bit(p, (int)penta->k2))
goto err;
if (!BN_set_bit(p, (int)penta->k3))
goto err;
if (!BN_set_bit(p, 0))
goto err;
} else if (tmp == NID_X9_62_onBasis) {
ERR_raise(ERR_LIB_EC, EC_R_NOT_IMPLEMENTED);
goto err;
} else { /* error */
ERR_raise(ERR_LIB_EC, EC_R_ASN1_ERROR);
goto err;
}
/* create the EC_GROUP structure */
ret = EC_GROUP_new_curve_GF2m(p, a, b, NULL);
}
#endif
else if (tmp == NID_X9_62_prime_field) {
/* we have a curve over a prime field */
/* extract the prime number */
if (params->fieldID->p.prime == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_ASN1_ERROR);
goto err;
}
p = ASN1_INTEGER_to_BN(params->fieldID->p.prime, NULL);
if (p == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
if (BN_is_negative(p) || BN_is_zero(p)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_FIELD);
goto err;
}
field_bits = BN_num_bits(p);
if (field_bits > OPENSSL_ECC_MAX_FIELD_BITS) {
ERR_raise(ERR_LIB_EC, EC_R_FIELD_TOO_LARGE);
goto err;
}
/* create the EC_GROUP structure */
ret = EC_GROUP_new_curve_GFp(p, a, b, NULL);
} else {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_FIELD);
goto err;
}
if (ret == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
/* extract seed (optional) */
if (params->curve->seed != NULL) {
/*
* This happens for instance with
* fuzz/corpora/asn1/65cf44e85614c62f10cf3b7a7184c26293a19e4a
* and causes the OPENSSL_malloc below to choke on the
* zero length allocation request.
*/
if (params->curve->seed->length == 0) {
ERR_raise(ERR_LIB_EC, EC_R_ASN1_ERROR);
goto err;
}
OPENSSL_free(ret->seed);
if ((ret->seed = OPENSSL_malloc(params->curve->seed->length)) == NULL)
goto err;
memcpy(ret->seed, params->curve->seed->data,
params->curve->seed->length);
ret->seed_len = params->curve->seed->length;
}
if (params->order == NULL
|| params->base == NULL
|| params->base->data == NULL
|| params->base->length == 0) {
ERR_raise(ERR_LIB_EC, EC_R_ASN1_ERROR);
goto err;
}
if ((point = EC_POINT_new(ret)) == NULL)
goto err;
/* set the point conversion form */
EC_GROUP_set_point_conversion_form(ret, (point_conversion_form_t)
(params->base->data[0] & ~0x01));
/* extract the ec point */
if (!EC_POINT_oct2point(ret, point, params->base->data,
params->base->length, NULL)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
/* extract the order */
if (ASN1_INTEGER_to_BN(params->order, a) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
if (BN_is_negative(a) || BN_is_zero(a)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_GROUP_ORDER);
goto err;
}
if (BN_num_bits(a) > (int)field_bits + 1) { /* Hasse bound */
ERR_raise(ERR_LIB_EC, EC_R_INVALID_GROUP_ORDER);
goto err;
}
/* extract the cofactor (optional) */
if (params->cofactor == NULL) {
BN_free(b);
b = NULL;
} else if (ASN1_INTEGER_to_BN(params->cofactor, b) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
/* set the generator, order and cofactor (if present) */
if (!EC_GROUP_set_generator(ret, point, a, b)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
/*
* Check if the explicit parameters group just created matches one of the
* built-in curves.
*
* We create a copy of the group just built, so that we can remove optional
* fields for the lookup: we do this to avoid the possibility that one of
* the optional parameters is used to force the library into using a less
* performant and less secure EC_METHOD instead of the specialized one.
* In any case, `seed` is not really used in any computation, while a
* cofactor different from the one in the built-in table is just
* mathematically wrong anyway and should not be used.
*/
if ((ctx = BN_CTX_new()) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if ((dup = EC_GROUP_dup(ret)) == NULL
|| EC_GROUP_set_seed(dup, NULL, 0) != 1
|| !EC_GROUP_set_generator(dup, point, a, NULL)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if ((curve_name = ossl_ec_curve_nid_from_params(dup, ctx)) != NID_undef) {
/*
* The input explicit parameters successfully matched one of the
* built-in curves: often for built-in curves we have specialized
* methods with better performance and hardening.
*
* In this case we replace the `EC_GROUP` created through explicit
* parameters with one created from a named group.
*/
EC_GROUP *named_group = NULL;
#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
/*
* NID_wap_wsg_idm_ecid_wtls12 and NID_secp224r1 are both aliases for
* the same curve, we prefer the SECP nid when matching explicit
* parameters as that is associated with a specialized EC_METHOD.
*/
if (curve_name == NID_wap_wsg_idm_ecid_wtls12)
curve_name = NID_secp224r1;
#endif /* !def(OPENSSL_NO_EC_NISTP_64_GCC_128) */
if ((named_group = EC_GROUP_new_by_curve_name(curve_name)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
EC_GROUP_free(ret);
ret = named_group;
/*
* Set the flag so that EC_GROUPs created from explicit parameters are
* serialized using explicit parameters by default.
*/
EC_GROUP_set_asn1_flag(ret, OPENSSL_EC_EXPLICIT_CURVE);
/*
* If the input params do not contain the optional seed field we make
* sure it is not added to the returned group.
*
* The seed field is not really used inside libcrypto anyway, and
* adding it to parsed explicit parameter keys would alter their DER
* encoding output (because of the extra field) which could impact
* applications fingerprinting keys by their DER encoding.
*/
if (params->curve->seed == NULL) {
if (EC_GROUP_set_seed(ret, NULL, 0) != 1)
goto err;
}
}
ok = 1;
err:
if (!ok) {
EC_GROUP_free(ret);
ret = NULL;
}
EC_GROUP_free(dup);
BN_free(p);
BN_free(a);
BN_free(b);
EC_POINT_free(point);
BN_CTX_free(ctx);
return ret;
}
EC_GROUP *EC_GROUP_new_from_ecpkparameters(const ECPKPARAMETERS *params)
{
EC_GROUP *ret = NULL;
int tmp = 0;
if (params == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_MISSING_PARAMETERS);
return NULL;
}
if (params->type == ECPKPARAMETERS_TYPE_NAMED) {
/* the curve is given by an OID */
tmp = OBJ_obj2nid(params->value.named_curve);
if ((ret = EC_GROUP_new_by_curve_name(tmp)) == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_EC_GROUP_NEW_BY_NAME_FAILURE);
return NULL;
}
EC_GROUP_set_asn1_flag(ret, OPENSSL_EC_NAMED_CURVE);
} else if (params->type == ECPKPARAMETERS_TYPE_EXPLICIT) {
/* the parameters are given by an ECPARAMETERS structure */
ret = EC_GROUP_new_from_ecparameters(params->value.parameters);
if (!ret) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
return NULL;
}
EC_GROUP_set_asn1_flag(ret, OPENSSL_EC_EXPLICIT_CURVE);
} else if (params->type == ECPKPARAMETERS_TYPE_IMPLICIT) {
/* implicit parameters inherited from CA - unsupported */
return NULL;
} else {
ERR_raise(ERR_LIB_EC, EC_R_ASN1_ERROR);
return NULL;
}
return ret;
}
/* EC_GROUP <-> DER encoding of ECPKPARAMETERS */
EC_GROUP *d2i_ECPKParameters(EC_GROUP **a, const unsigned char **in, long len)
{
EC_GROUP *group = NULL;
ECPKPARAMETERS *params = NULL;
const unsigned char *p = *in;
if ((params = d2i_ECPKPARAMETERS(NULL, &p, len)) == NULL) {
ECPKPARAMETERS_free(params);
return NULL;
}
if ((group = EC_GROUP_new_from_ecpkparameters(params)) == NULL) {
ECPKPARAMETERS_free(params);
return NULL;
}
if (params->type == ECPKPARAMETERS_TYPE_EXPLICIT)
group->decoded_from_explicit_params = 1;
if (a) {
EC_GROUP_free(*a);
*a = group;
}
ECPKPARAMETERS_free(params);
*in = p;
return group;
}
int i2d_ECPKParameters(const EC_GROUP *a, unsigned char **out)
{
int ret = 0;
ECPKPARAMETERS *tmp = EC_GROUP_get_ecpkparameters(a, NULL);
if (tmp == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_GROUP2PKPARAMETERS_FAILURE);
return 0;
}
if ((ret = i2d_ECPKPARAMETERS(tmp, out)) == 0) {
ERR_raise(ERR_LIB_EC, EC_R_I2D_ECPKPARAMETERS_FAILURE);
ECPKPARAMETERS_free(tmp);
return 0;
}
ECPKPARAMETERS_free(tmp);
return ret;
}
/* some EC_KEY functions */
EC_KEY *d2i_ECPrivateKey(EC_KEY **a, const unsigned char **in, long len)
{
EC_KEY *ret = NULL;
EC_PRIVATEKEY *priv_key = NULL;
const unsigned char *p = *in;
if ((priv_key = d2i_EC_PRIVATEKEY(NULL, &p, len)) == NULL)
return NULL;
if (a == NULL || *a == NULL) {
if ((ret = EC_KEY_new()) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
} else
ret = *a;
if (priv_key->parameters) {
EC_GROUP_free(ret->group);
ret->group = EC_GROUP_new_from_ecpkparameters(priv_key->parameters);
if (ret->group != NULL
&& priv_key->parameters->type == ECPKPARAMETERS_TYPE_EXPLICIT)
ret->group->decoded_from_explicit_params = 1;
}
if (ret->group == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
ret->version = priv_key->version;
if (priv_key->privateKey) {
ASN1_OCTET_STRING *pkey = priv_key->privateKey;
if (EC_KEY_oct2priv(ret, ASN1_STRING_get0_data(pkey),
ASN1_STRING_length(pkey)) == 0)
goto err;
} else {
ERR_raise(ERR_LIB_EC, EC_R_MISSING_PRIVATE_KEY);
goto err;
}
if (EC_GROUP_get_curve_name(ret->group) == NID_sm2)
EC_KEY_set_flags(ret, EC_FLAG_SM2_RANGE);
EC_POINT_clear_free(ret->pub_key);
ret->pub_key = EC_POINT_new(ret->group);
if (ret->pub_key == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
if (priv_key->publicKey) {
const unsigned char *pub_oct;
int pub_oct_len;
pub_oct = ASN1_STRING_get0_data(priv_key->publicKey);
pub_oct_len = ASN1_STRING_length(priv_key->publicKey);
if (!EC_KEY_oct2key(ret, pub_oct, pub_oct_len, NULL)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
} else {
if (ret->group->meth->keygenpub == NULL
|| ret->group->meth->keygenpub(ret) == 0)
goto err;
/* Remember the original private-key-only encoding. */
ret->enc_flag |= EC_PKEY_NO_PUBKEY;
}
if (a)
*a = ret;
EC_PRIVATEKEY_free(priv_key);
*in = p;
ret->dirty_cnt++;
return ret;
err:
if (a == NULL || *a != ret)
EC_KEY_free(ret);
EC_PRIVATEKEY_free(priv_key);
return NULL;
}
int i2d_ECPrivateKey(const EC_KEY *a, unsigned char **out)
{
int ret = 0, ok = 0;
unsigned char *priv= NULL, *pub= NULL;
size_t privlen = 0, publen = 0;
EC_PRIVATEKEY *priv_key = NULL;
if (a == NULL || a->group == NULL ||
(!(a->enc_flag & EC_PKEY_NO_PUBKEY) && a->pub_key == NULL)) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
goto err;
}
if ((priv_key = EC_PRIVATEKEY_new()) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
priv_key->version = a->version;
privlen = EC_KEY_priv2buf(a, &priv);
if (privlen == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
ASN1_STRING_set0(priv_key->privateKey, priv, privlen);
priv = NULL;
if (!(a->enc_flag & EC_PKEY_NO_PARAMETERS)) {
if ((priv_key->parameters =
EC_GROUP_get_ecpkparameters(a->group,
priv_key->parameters)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
}
if (!(a->enc_flag & EC_PKEY_NO_PUBKEY)) {
priv_key->publicKey = ASN1_BIT_STRING_new();
if (priv_key->publicKey == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_ASN1_LIB);
goto err;
}
publen = EC_KEY_key2buf(a, a->conv_form, &pub, NULL);
if (publen == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
ossl_asn1_string_set_bits_left(priv_key->publicKey, 0);
ASN1_STRING_set0(priv_key->publicKey, pub, publen);
pub = NULL;
}
if ((ret = i2d_EC_PRIVATEKEY(priv_key, out)) == 0) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto err;
}
ok = 1;
err:
OPENSSL_clear_free(priv, privlen);
OPENSSL_free(pub);
EC_PRIVATEKEY_free(priv_key);
return (ok ? ret : 0);
}
int i2d_ECParameters(const EC_KEY *a, unsigned char **out)
{
if (a == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
return i2d_ECPKParameters(a->group, out);
}
EC_KEY *d2i_ECParameters(EC_KEY **a, const unsigned char **in, long len)
{
EC_KEY *ret;
if (in == NULL || *in == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return NULL;
}
if (a == NULL || *a == NULL) {
if ((ret = EC_KEY_new()) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
return NULL;
}
} else
ret = *a;
if (!d2i_ECPKParameters(&ret->group, in, len)) {
if (a == NULL || *a != ret)
EC_KEY_free(ret);
else
ret->dirty_cnt++;
return NULL;
}
if (EC_GROUP_get_curve_name(ret->group) == NID_sm2)
EC_KEY_set_flags(ret, EC_FLAG_SM2_RANGE);
ret->dirty_cnt++;
if (a)
*a = ret;
return ret;
}
EC_KEY *o2i_ECPublicKey(EC_KEY **a, const unsigned char **in, long len)
{
EC_KEY *ret = NULL;
if (a == NULL || (*a) == NULL || (*a)->group == NULL) {
/*
* sorry, but a EC_GROUP-structure is necessary to set the public key
*/
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
ret = *a;
/* EC_KEY_opt2key updates dirty_cnt */
if (!EC_KEY_oct2key(ret, *in, len, NULL)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
return 0;
}
*in += len;
return ret;
}
int i2o_ECPublicKey(const EC_KEY *a, unsigned char **out)
{
size_t buf_len = 0;
int new_buffer = 0;
if (a == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
buf_len = EC_POINT_point2oct(a->group, a->pub_key,
a->conv_form, NULL, 0, NULL);
if (out == NULL || buf_len == 0)
/* out == NULL => just return the length of the octet string */
return buf_len;
if (*out == NULL) {
if ((*out = OPENSSL_malloc(buf_len)) == NULL)
return 0;
new_buffer = 1;
}
if (!EC_POINT_point2oct(a->group, a->pub_key, a->conv_form,
*out, buf_len, NULL)) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
if (new_buffer) {
OPENSSL_free(*out);
*out = NULL;
}
return 0;
}
if (!new_buffer)
*out += buf_len;
return buf_len;
}
DECLARE_ASN1_FUNCTIONS(ECDSA_SIG)
DECLARE_ASN1_ENCODE_FUNCTIONS_name(ECDSA_SIG, ECDSA_SIG)
#endif /* FIPS_MODULE */
ECDSA_SIG *ECDSA_SIG_new(void)
{
ECDSA_SIG *sig = OPENSSL_zalloc(sizeof(*sig));
return sig;
}
void ECDSA_SIG_free(ECDSA_SIG *sig)
{
if (sig == NULL)
return;
BN_clear_free(sig->r);
BN_clear_free(sig->s);
OPENSSL_free(sig);
}
ECDSA_SIG *d2i_ECDSA_SIG(ECDSA_SIG **psig, const unsigned char **ppin, long len)
{
ECDSA_SIG *sig;
if (len < 0)
return NULL;
if (psig != NULL && *psig != NULL) {
sig = *psig;
} else {
sig = ECDSA_SIG_new();
if (sig == NULL)
return NULL;
}
if (sig->r == NULL)
sig->r = BN_new();
if (sig->s == NULL)
sig->s = BN_new();
if (sig->r == NULL || sig->s == NULL
|| ossl_decode_der_dsa_sig(sig->r, sig->s, ppin, (size_t)len) == 0) {
if (psig == NULL || *psig == NULL)
ECDSA_SIG_free(sig);
return NULL;
}
if (psig != NULL && *psig == NULL)
*psig = sig;
return sig;
}
int i2d_ECDSA_SIG(const ECDSA_SIG *sig, unsigned char **ppout)
{
BUF_MEM *buf = NULL;
size_t encoded_len;
WPACKET pkt;
if (ppout == NULL) {
if (!WPACKET_init_null(&pkt, 0))
return -1;
} else if (*ppout == NULL) {
if ((buf = BUF_MEM_new()) == NULL
|| !WPACKET_init_len(&pkt, buf, 0)) {
BUF_MEM_free(buf);
return -1;
}
} else {
if (!WPACKET_init_static_len(&pkt, *ppout, SIZE_MAX, 0))
return -1;
}
if (!ossl_encode_der_dsa_sig(&pkt, sig->r, sig->s)
|| !WPACKET_get_total_written(&pkt, &encoded_len)
|| !WPACKET_finish(&pkt)) {
BUF_MEM_free(buf);
WPACKET_cleanup(&pkt);
return -1;
}
if (ppout != NULL) {
if (*ppout == NULL) {
*ppout = (unsigned char *)buf->data;
buf->data = NULL;
BUF_MEM_free(buf);
} else {
*ppout += encoded_len;
}
}
return (int)encoded_len;
}
void ECDSA_SIG_get0(const ECDSA_SIG *sig, const BIGNUM **pr, const BIGNUM **ps)
{
if (pr != NULL)
*pr = sig->r;
if (ps != NULL)
*ps = sig->s;
}
const BIGNUM *ECDSA_SIG_get0_r(const ECDSA_SIG *sig)
{
return sig->r;
}
const BIGNUM *ECDSA_SIG_get0_s(const ECDSA_SIG *sig)
{
return sig->s;
}
int ECDSA_SIG_set0(ECDSA_SIG *sig, BIGNUM *r, BIGNUM *s)
{
if (r == NULL || s == NULL)
return 0;
BN_clear_free(sig->r);
BN_clear_free(sig->s);
sig->r = r;
sig->s = s;
return 1;
}
int ECDSA_size(const EC_KEY *ec)
{
int ret;
ECDSA_SIG sig;
const EC_GROUP *group;
const BIGNUM *bn;
if (ec == NULL)
return 0;
group = EC_KEY_get0_group(ec);
if (group == NULL)
return 0;
bn = EC_GROUP_get0_order(group);
if (bn == NULL)
return 0;
sig.r = sig.s = (BIGNUM *)bn;
ret = i2d_ECDSA_SIG(&sig, NULL);
if (ret < 0)
ret = 0;
return ret;
}
|
./openssl/crypto/ec/ec_backend.c | /*
* Copyright 2020-2022 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* Low level APIs related to EC_KEY are deprecated for public use,
* but still ok for internal use.
*/
#include "internal/deprecated.h"
#include <openssl/core_names.h>
#include <openssl/objects.h>
#include <openssl/params.h>
#include <openssl/err.h>
#ifndef FIPS_MODULE
# include <openssl/engine.h>
# include <openssl/x509.h>
#endif
#include "crypto/bn.h"
#include "crypto/ec.h"
#include "ec_local.h"
#include "internal/e_os.h"
#include "internal/nelem.h"
#include "internal/param_build_set.h"
/* Mapping between a flag and a name */
static const OSSL_ITEM encoding_nameid_map[] = {
{ OPENSSL_EC_EXPLICIT_CURVE, OSSL_PKEY_EC_ENCODING_EXPLICIT },
{ OPENSSL_EC_NAMED_CURVE, OSSL_PKEY_EC_ENCODING_GROUP },
};
static const OSSL_ITEM check_group_type_nameid_map[] = {
{ 0, OSSL_PKEY_EC_GROUP_CHECK_DEFAULT },
{ EC_FLAG_CHECK_NAMED_GROUP, OSSL_PKEY_EC_GROUP_CHECK_NAMED },
{ EC_FLAG_CHECK_NAMED_GROUP_NIST, OSSL_PKEY_EC_GROUP_CHECK_NAMED_NIST },
};
static const OSSL_ITEM format_nameid_map[] = {
{ (int)POINT_CONVERSION_UNCOMPRESSED, OSSL_PKEY_EC_POINT_CONVERSION_FORMAT_UNCOMPRESSED },
{ (int)POINT_CONVERSION_COMPRESSED, OSSL_PKEY_EC_POINT_CONVERSION_FORMAT_COMPRESSED },
{ (int)POINT_CONVERSION_HYBRID, OSSL_PKEY_EC_POINT_CONVERSION_FORMAT_HYBRID },
};
int ossl_ec_encoding_name2id(const char *name)
{
size_t i, sz;
/* Return the default value if there is no name */
if (name == NULL)
return OPENSSL_EC_NAMED_CURVE;
for (i = 0, sz = OSSL_NELEM(encoding_nameid_map); i < sz; i++) {
if (OPENSSL_strcasecmp(name, encoding_nameid_map[i].ptr) == 0)
return encoding_nameid_map[i].id;
}
return -1;
}
static char *ec_param_encoding_id2name(int id)
{
size_t i, sz;
for (i = 0, sz = OSSL_NELEM(encoding_nameid_map); i < sz; i++) {
if (id == (int)encoding_nameid_map[i].id)
return encoding_nameid_map[i].ptr;
}
return NULL;
}
char *ossl_ec_check_group_type_id2name(int id)
{
size_t i, sz;
for (i = 0, sz = OSSL_NELEM(check_group_type_nameid_map); i < sz; i++) {
if (id == (int)check_group_type_nameid_map[i].id)
return check_group_type_nameid_map[i].ptr;
}
return NULL;
}
static int ec_check_group_type_name2id(const char *name)
{
size_t i, sz;
/* Return the default value if there is no name */
if (name == NULL)
return 0;
for (i = 0, sz = OSSL_NELEM(check_group_type_nameid_map); i < sz; i++) {
if (OPENSSL_strcasecmp(name, check_group_type_nameid_map[i].ptr) == 0)
return check_group_type_nameid_map[i].id;
}
return -1;
}
int ossl_ec_set_check_group_type_from_name(EC_KEY *ec, const char *name)
{
int flags = ec_check_group_type_name2id(name);
if (flags == -1)
return 0;
EC_KEY_clear_flags(ec, EC_FLAG_CHECK_NAMED_GROUP_MASK);
EC_KEY_set_flags(ec, flags);
return 1;
}
static int ec_set_check_group_type_from_param(EC_KEY *ec, const OSSL_PARAM *p)
{
const char *name = NULL;
int status = 0;
switch (p->data_type) {
case OSSL_PARAM_UTF8_STRING:
name = p->data;
status = (name != NULL);
break;
case OSSL_PARAM_UTF8_PTR:
status = OSSL_PARAM_get_utf8_ptr(p, &name);
break;
}
if (status)
return ossl_ec_set_check_group_type_from_name(ec, name);
return 0;
}
int ossl_ec_pt_format_name2id(const char *name)
{
size_t i, sz;
/* Return the default value if there is no name */
if (name == NULL)
return (int)POINT_CONVERSION_UNCOMPRESSED;
for (i = 0, sz = OSSL_NELEM(format_nameid_map); i < sz; i++) {
if (OPENSSL_strcasecmp(name, format_nameid_map[i].ptr) == 0)
return format_nameid_map[i].id;
}
return -1;
}
char *ossl_ec_pt_format_id2name(int id)
{
size_t i, sz;
for (i = 0, sz = OSSL_NELEM(format_nameid_map); i < sz; i++) {
if (id == (int)format_nameid_map[i].id)
return format_nameid_map[i].ptr;
}
return NULL;
}
static int ec_group_explicit_todata(const EC_GROUP *group, OSSL_PARAM_BLD *tmpl,
OSSL_PARAM params[], BN_CTX *bnctx,
unsigned char **genbuf)
{
int ret = 0, fid;
const char *field_type;
const OSSL_PARAM *param = NULL;
const OSSL_PARAM *param_p = NULL;
const OSSL_PARAM *param_a = NULL;
const OSSL_PARAM *param_b = NULL;
fid = EC_GROUP_get_field_type(group);
if (fid == NID_X9_62_prime_field) {
field_type = SN_X9_62_prime_field;
} else if (fid == NID_X9_62_characteristic_two_field) {
#ifdef OPENSSL_NO_EC2M
ERR_raise(ERR_LIB_EC, EC_R_GF2M_NOT_SUPPORTED);
goto err;
#else
field_type = SN_X9_62_characteristic_two_field;
#endif
} else {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_FIELD);
return 0;
}
param_p = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_P);
param_a = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_A);
param_b = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_B);
if (tmpl != NULL || param_p != NULL || param_a != NULL || param_b != NULL)
{
BIGNUM *p = BN_CTX_get(bnctx);
BIGNUM *a = BN_CTX_get(bnctx);
BIGNUM *b = BN_CTX_get(bnctx);
if (b == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_BN_LIB);
goto err;
}
if (!EC_GROUP_get_curve(group, p, a, b, bnctx)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_CURVE);
goto err;
}
if (!ossl_param_build_set_bn(tmpl, params, OSSL_PKEY_PARAM_EC_P, p)
|| !ossl_param_build_set_bn(tmpl, params, OSSL_PKEY_PARAM_EC_A, a)
|| !ossl_param_build_set_bn(tmpl, params, OSSL_PKEY_PARAM_EC_B, b)) {
ERR_raise(ERR_LIB_EC, ERR_R_CRYPTO_LIB);
goto err;
}
}
param = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_ORDER);
if (tmpl != NULL || param != NULL) {
const BIGNUM *order = EC_GROUP_get0_order(group);
if (order == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_GROUP_ORDER);
goto err;
}
if (!ossl_param_build_set_bn(tmpl, params, OSSL_PKEY_PARAM_EC_ORDER,
order)) {
ERR_raise(ERR_LIB_EC, ERR_R_CRYPTO_LIB);
goto err;
}
}
param = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_FIELD_TYPE);
if (tmpl != NULL || param != NULL) {
if (!ossl_param_build_set_utf8_string(tmpl, params,
OSSL_PKEY_PARAM_EC_FIELD_TYPE,
field_type)) {
ERR_raise(ERR_LIB_EC, ERR_R_CRYPTO_LIB);
goto err;
}
}
param = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_GENERATOR);
if (tmpl != NULL || param != NULL) {
size_t genbuf_len;
const EC_POINT *genpt = EC_GROUP_get0_generator(group);
point_conversion_form_t genform = EC_GROUP_get_point_conversion_form(group);
if (genpt == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_GENERATOR);
goto err;
}
genbuf_len = EC_POINT_point2buf(group, genpt, genform, genbuf, bnctx);
if (genbuf_len == 0) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_GENERATOR);
goto err;
}
if (!ossl_param_build_set_octet_string(tmpl, params,
OSSL_PKEY_PARAM_EC_GENERATOR,
*genbuf, genbuf_len)) {
ERR_raise(ERR_LIB_EC, ERR_R_CRYPTO_LIB);
goto err;
}
}
param = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_COFACTOR);
if (tmpl != NULL || param != NULL) {
const BIGNUM *cofactor = EC_GROUP_get0_cofactor(group);
if (cofactor != NULL
&& !ossl_param_build_set_bn(tmpl, params,
OSSL_PKEY_PARAM_EC_COFACTOR, cofactor)) {
ERR_raise(ERR_LIB_EC, ERR_R_CRYPTO_LIB);
goto err;
}
}
param = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_SEED);
if (tmpl != NULL || param != NULL) {
unsigned char *seed = EC_GROUP_get0_seed(group);
size_t seed_len = EC_GROUP_get_seed_len(group);
if (seed != NULL
&& seed_len > 0
&& !ossl_param_build_set_octet_string(tmpl, params,
OSSL_PKEY_PARAM_EC_SEED,
seed, seed_len)) {
ERR_raise(ERR_LIB_EC, ERR_R_CRYPTO_LIB);
goto err;
}
}
ret = 1;
err:
return ret;
}
int ossl_ec_group_todata(const EC_GROUP *group, OSSL_PARAM_BLD *tmpl,
OSSL_PARAM params[], OSSL_LIB_CTX *libctx,
const char *propq,
BN_CTX *bnctx, unsigned char **genbuf)
{
int ret = 0, curve_nid, encoding_flag;
const char *encoding_name, *pt_form_name;
point_conversion_form_t genform;
if (group == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_PASSED_NULL_PARAMETER);
return 0;
}
genform = EC_GROUP_get_point_conversion_form(group);
pt_form_name = ossl_ec_pt_format_id2name(genform);
if (pt_form_name == NULL
|| !ossl_param_build_set_utf8_string(
tmpl, params,
OSSL_PKEY_PARAM_EC_POINT_CONVERSION_FORMAT, pt_form_name)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_FORM);
return 0;
}
encoding_flag = EC_GROUP_get_asn1_flag(group) & OPENSSL_EC_NAMED_CURVE;
encoding_name = ec_param_encoding_id2name(encoding_flag);
if (encoding_name == NULL
|| !ossl_param_build_set_utf8_string(tmpl, params,
OSSL_PKEY_PARAM_EC_ENCODING,
encoding_name)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING);
return 0;
}
if (!ossl_param_build_set_int(tmpl, params,
OSSL_PKEY_PARAM_EC_DECODED_FROM_EXPLICIT_PARAMS,
group->decoded_from_explicit_params))
return 0;
curve_nid = EC_GROUP_get_curve_name(group);
/*
* Get the explicit parameters in these two cases:
* - We do not have a template, i.e. specific parameters are requested
* - The curve is not a named curve
*/
if (tmpl == NULL || curve_nid == NID_undef)
if (!ec_group_explicit_todata(group, tmpl, params, bnctx, genbuf))
goto err;
if (curve_nid != NID_undef) {
/* Named curve */
const char *curve_name = OSSL_EC_curve_nid2name(curve_nid);
if (curve_name == NULL
|| !ossl_param_build_set_utf8_string(tmpl, params,
OSSL_PKEY_PARAM_GROUP_NAME,
curve_name)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_CURVE);
goto err;
}
}
ret = 1;
err:
return ret;
}
/*
* The intention with the "backend" source file is to offer backend support
* for legacy backends (EVP_PKEY_ASN1_METHOD and EVP_PKEY_METHOD) and provider
* implementations alike.
*/
int ossl_ec_set_ecdh_cofactor_mode(EC_KEY *ec, int mode)
{
const EC_GROUP *ecg = EC_KEY_get0_group(ec);
const BIGNUM *cofactor;
/*
* mode can be only 0 for disable, or 1 for enable here.
*
* This is in contrast with the same parameter on an ECDH EVP_PKEY_CTX that
* also supports mode == -1 with the meaning of "reset to the default for
* the associated key".
*/
if (mode < 0 || mode > 1)
return 0;
if ((cofactor = EC_GROUP_get0_cofactor(ecg)) == NULL )
return 0;
/* ECDH cofactor mode has no effect if cofactor is 1 */
if (BN_is_one(cofactor))
return 1;
if (mode == 1)
EC_KEY_set_flags(ec, EC_FLAG_COFACTOR_ECDH);
else if (mode == 0)
EC_KEY_clear_flags(ec, EC_FLAG_COFACTOR_ECDH);
return 1;
}
/*
* Callers of ossl_ec_key_fromdata MUST make sure that ec_key_params_fromdata has
* been called before!
*
* This function only gets the bare keypair, domain parameters and other
* parameters are treated separately, and domain parameters are required to
* define a keypair.
*/
int ossl_ec_key_fromdata(EC_KEY *ec, const OSSL_PARAM params[], int include_private)
{
const OSSL_PARAM *param_priv_key = NULL, *param_pub_key = NULL;
BN_CTX *ctx = NULL;
BIGNUM *priv_key = NULL;
unsigned char *pub_key = NULL;
size_t pub_key_len;
const EC_GROUP *ecg = NULL;
EC_POINT *pub_point = NULL;
int ok = 0;
ecg = EC_KEY_get0_group(ec);
if (ecg == NULL)
return 0;
param_pub_key =
OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_PUB_KEY);
if (include_private)
param_priv_key =
OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_PRIV_KEY);
ctx = BN_CTX_new_ex(ossl_ec_key_get_libctx(ec));
if (ctx == NULL)
goto err;
if (param_pub_key != NULL)
if (!OSSL_PARAM_get_octet_string(param_pub_key,
(void **)&pub_key, 0, &pub_key_len)
|| (pub_point = EC_POINT_new(ecg)) == NULL
|| !EC_POINT_oct2point(ecg, pub_point, pub_key, pub_key_len, ctx))
goto err;
if (param_priv_key != NULL && include_private) {
int fixed_words;
const BIGNUM *order;
/*
* Key import/export should never leak the bit length of the secret
* scalar in the key.
*
* For this reason, on export we use padded BIGNUMs with fixed length.
*
* When importing we also should make sure that, even if short lived,
* the newly created BIGNUM is marked with the BN_FLG_CONSTTIME flag as
* soon as possible, so that any processing of this BIGNUM might opt for
* constant time implementations in the backend.
*
* Setting the BN_FLG_CONSTTIME flag alone is never enough, we also have
* to preallocate the BIGNUM internal buffer to a fixed public size big
* enough that operations performed during the processing never trigger
* a realloc which would leak the size of the scalar through memory
* accesses.
*
* Fixed Length
* ------------
*
* The order of the large prime subgroup of the curve is our choice for
* a fixed public size, as that is generally the upper bound for
* generating a private key in EC cryptosystems and should fit all valid
* secret scalars.
*
* For padding on export we just use the bit length of the order
* converted to bytes (rounding up).
*
* For preallocating the BIGNUM storage we look at the number of "words"
* required for the internal representation of the order, and we
* preallocate 2 extra "words" in case any of the subsequent processing
* might temporarily overflow the order length.
*/
order = EC_GROUP_get0_order(ecg);
if (order == NULL || BN_is_zero(order))
goto err;
fixed_words = bn_get_top(order) + 2;
if ((priv_key = BN_secure_new()) == NULL)
goto err;
if (bn_wexpand(priv_key, fixed_words) == NULL)
goto err;
BN_set_flags(priv_key, BN_FLG_CONSTTIME);
if (!OSSL_PARAM_get_BN(param_priv_key, &priv_key))
goto err;
}
if (priv_key != NULL
&& !EC_KEY_set_private_key(ec, priv_key))
goto err;
if (pub_point != NULL
&& !EC_KEY_set_public_key(ec, pub_point))
goto err;
ok = 1;
err:
BN_CTX_free(ctx);
BN_clear_free(priv_key);
OPENSSL_free(pub_key);
EC_POINT_free(pub_point);
return ok;
}
int ossl_ec_group_fromdata(EC_KEY *ec, const OSSL_PARAM params[])
{
int ok = 0;
EC_GROUP *group = NULL;
if (ec == NULL)
return 0;
group = EC_GROUP_new_from_params(params, ossl_ec_key_get_libctx(ec),
ossl_ec_key_get0_propq(ec));
if (!EC_KEY_set_group(ec, group))
goto err;
ok = 1;
err:
EC_GROUP_free(group);
return ok;
}
static int ec_key_point_format_fromdata(EC_KEY *ec, const OSSL_PARAM params[])
{
const OSSL_PARAM *p;
int format = -1;
p = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_POINT_CONVERSION_FORMAT);
if (p != NULL) {
if (!ossl_ec_pt_format_param2id(p, &format)) {
ERR_raise(ERR_LIB_EC, EC_R_INVALID_FORM);
return 0;
}
EC_KEY_set_conv_form(ec, format);
}
return 1;
}
static int ec_key_group_check_fromdata(EC_KEY *ec, const OSSL_PARAM params[])
{
const OSSL_PARAM *p;
p = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_GROUP_CHECK_TYPE);
if (p != NULL)
return ec_set_check_group_type_from_param(ec, p);
return 1;
}
static int ec_set_include_public(EC_KEY *ec, int include)
{
int flags = EC_KEY_get_enc_flags(ec);
if (!include)
flags |= EC_PKEY_NO_PUBKEY;
else
flags &= ~EC_PKEY_NO_PUBKEY;
EC_KEY_set_enc_flags(ec, flags);
return 1;
}
int ossl_ec_key_otherparams_fromdata(EC_KEY *ec, const OSSL_PARAM params[])
{
const OSSL_PARAM *p;
if (ec == NULL)
return 0;
p = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_USE_COFACTOR_ECDH);
if (p != NULL) {
int mode;
if (!OSSL_PARAM_get_int(p, &mode)
|| !ossl_ec_set_ecdh_cofactor_mode(ec, mode))
return 0;
}
p = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_INCLUDE_PUBLIC);
if (p != NULL) {
int include = 1;
if (!OSSL_PARAM_get_int(p, &include)
|| !ec_set_include_public(ec, include))
return 0;
}
if (!ec_key_point_format_fromdata(ec, params))
return 0;
if (!ec_key_group_check_fromdata(ec, params))
return 0;
return 1;
}
int ossl_ec_key_is_foreign(const EC_KEY *ec)
{
#ifndef FIPS_MODULE
if (ec->engine != NULL || EC_KEY_get_method(ec) != EC_KEY_OpenSSL())
return 1;
#endif
return 0;
}
EC_KEY *ossl_ec_key_dup(const EC_KEY *src, int selection)
{
EC_KEY *ret;
if (src == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER);
return NULL;
}
if ((ret = ossl_ec_key_new_method_int(src->libctx, src->propq,
src->engine)) == NULL)
return NULL;
/* copy the parameters */
if (src->group != NULL
&& (selection & OSSL_KEYMGMT_SELECT_DOMAIN_PARAMETERS) != 0) {
ret->group = ossl_ec_group_new_ex(src->libctx, src->propq,
src->group->meth);
if (ret->group == NULL
|| !EC_GROUP_copy(ret->group, src->group))
goto err;
if (src->meth != NULL) {
#if !defined(OPENSSL_NO_ENGINE) && !defined(FIPS_MODULE)
if (src->engine != NULL && ENGINE_init(src->engine) == 0)
goto err;
ret->engine = src->engine;
#endif
ret->meth = src->meth;
}
}
/* copy the public key */
if (src->pub_key != NULL
&& (selection & OSSL_KEYMGMT_SELECT_PUBLIC_KEY) != 0) {
if (ret->group == NULL)
/* no parameter-less keys allowed */
goto err;
ret->pub_key = EC_POINT_new(ret->group);
if (ret->pub_key == NULL
|| !EC_POINT_copy(ret->pub_key, src->pub_key))
goto err;
}
/* copy the private key */
if (src->priv_key != NULL
&& (selection & OSSL_KEYMGMT_SELECT_PRIVATE_KEY) != 0) {
if (ret->group == NULL)
/* no parameter-less keys allowed */
goto err;
ret->priv_key = BN_new();
if (ret->priv_key == NULL || !BN_copy(ret->priv_key, src->priv_key))
goto err;
if (ret->group->meth->keycopy
&& ret->group->meth->keycopy(ret, src) == 0)
goto err;
}
/* copy the rest */
if ((selection & OSSL_KEYMGMT_SELECT_OTHER_PARAMETERS) != 0) {
ret->enc_flag = src->enc_flag;
ret->conv_form = src->conv_form;
}
ret->version = src->version;
ret->flags = src->flags;
#ifndef FIPS_MODULE
if (!CRYPTO_dup_ex_data(CRYPTO_EX_INDEX_EC_KEY,
&ret->ex_data, &src->ex_data))
goto err;
#endif
if (ret->meth != NULL && ret->meth->copy != NULL) {
if ((selection
& OSSL_KEYMGMT_SELECT_KEYPAIR) != OSSL_KEYMGMT_SELECT_KEYPAIR)
goto err;
if (ret->meth->copy(ret, src) == 0)
goto err;
}
return ret;
err:
EC_KEY_free(ret);
return NULL;
}
int ossl_ec_encoding_param2id(const OSSL_PARAM *p, int *id)
{
const char *name = NULL;
int status = 0;
switch (p->data_type) {
case OSSL_PARAM_UTF8_STRING:
/* The OSSL_PARAM functions have no support for this */
name = p->data;
status = (name != NULL);
break;
case OSSL_PARAM_UTF8_PTR:
status = OSSL_PARAM_get_utf8_ptr(p, &name);
break;
}
if (status) {
int i = ossl_ec_encoding_name2id(name);
if (i >= 0) {
*id = i;
return 1;
}
}
return 0;
}
int ossl_ec_pt_format_param2id(const OSSL_PARAM *p, int *id)
{
const char *name = NULL;
int status = 0;
switch (p->data_type) {
case OSSL_PARAM_UTF8_STRING:
/* The OSSL_PARAM functions have no support for this */
name = p->data;
status = (name != NULL);
break;
case OSSL_PARAM_UTF8_PTR:
status = OSSL_PARAM_get_utf8_ptr(p, &name);
break;
}
if (status) {
int i = ossl_ec_pt_format_name2id(name);
if (i >= 0) {
*id = i;
return 1;
}
}
return 0;
}
#ifndef FIPS_MODULE
int ossl_x509_algor_is_sm2(const X509_ALGOR *palg)
{
int ptype = 0;
const void *pval = NULL;
X509_ALGOR_get0(NULL, &ptype, &pval, palg);
if (ptype == V_ASN1_OBJECT)
return OBJ_obj2nid((ASN1_OBJECT *)pval) == NID_sm2;
if (ptype == V_ASN1_SEQUENCE) {
const ASN1_STRING *str = pval;
const unsigned char *der = str->data;
int derlen = str->length;
EC_GROUP *group;
int ret;
if ((group = d2i_ECPKParameters(NULL, &der, derlen)) == NULL)
ret = 0;
else
ret = (EC_GROUP_get_curve_name(group) == NID_sm2);
EC_GROUP_free(group);
return ret;
}
return 0;
}
EC_KEY *ossl_ec_key_param_from_x509_algor(const X509_ALGOR *palg,
OSSL_LIB_CTX *libctx, const char *propq)
{
int ptype = 0;
const void *pval = NULL;
EC_KEY *eckey = NULL;
EC_GROUP *group = NULL;
X509_ALGOR_get0(NULL, &ptype, &pval, palg);
if ((eckey = EC_KEY_new_ex(libctx, propq)) == NULL) {
ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB);
goto ecerr;
}
if (ptype == V_ASN1_SEQUENCE) {
const ASN1_STRING *pstr = pval;
const unsigned char *pm = pstr->data;
int pmlen = pstr->length;
if (d2i_ECParameters(&eckey, &pm, pmlen) == NULL) {
ERR_raise(ERR_LIB_EC, EC_R_DECODE_ERROR);
goto ecerr;
}
} else if (ptype == V_ASN1_OBJECT) {
const ASN1_OBJECT *poid = pval;
/*
* type == V_ASN1_OBJECT => the parameters are given by an asn1 OID
*/
group = EC_GROUP_new_by_curve_name_ex(libctx, propq, OBJ_obj2nid(poid));
if (group == NULL)
goto ecerr;
EC_GROUP_set_asn1_flag(group, OPENSSL_EC_NAMED_CURVE);
if (EC_KEY_set_group(eckey, group) == 0)
goto ecerr;
EC_GROUP_free(group);
} else {
ERR_raise(ERR_LIB_EC, EC_R_DECODE_ERROR);
goto ecerr;
}
return eckey;
ecerr:
EC_KEY_free(eckey);
EC_GROUP_free(group);
return NULL;
}
EC_KEY *ossl_ec_key_from_pkcs8(const PKCS8_PRIV_KEY_INFO *p8inf,
OSSL_LIB_CTX *libctx, const char *propq)
{
const unsigned char *p = NULL;
int pklen;
EC_KEY *eckey = NULL;
const X509_ALGOR *palg;
if (!PKCS8_pkey_get0(NULL, &p, &pklen, &palg, p8inf))
return 0;
eckey = ossl_ec_key_param_from_x509_algor(palg, libctx, propq);
if (eckey == NULL)
goto err;
/* We have parameters now set private key */
if (!d2i_ECPrivateKey(&eckey, &p, pklen)) {
ERR_raise(ERR_LIB_EC, EC_R_DECODE_ERROR);
goto err;
}
return eckey;
err:
EC_KEY_free(eckey);
return NULL;
}
#endif
|
./openssl/crypto/ec/ec_cvt.c | /*
* Copyright 2001-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/*
* ECDSA low level APIs are deprecated for public use, but still ok for
* internal use.
*/
#include "internal/deprecated.h"
#include <openssl/err.h>
#include "crypto/bn.h"
#include "ec_local.h"
EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx)
{
const EC_METHOD *meth;
EC_GROUP *ret;
#if defined(OPENSSL_BN_ASM_MONT)
/*
* This might appear controversial, but the fact is that generic
* prime method was observed to deliver better performance even
* for NIST primes on a range of platforms, e.g.: 60%-15%
* improvement on IA-64, ~25% on ARM, 30%-90% on P4, 20%-25%
* in 32-bit build and 35%--12% in 64-bit build on Core2...
* Coefficients are relative to optimized bn_nist.c for most
* intensive ECDSA verify and ECDH operations for 192- and 521-
* bit keys respectively. Choice of these boundary values is
* arguable, because the dependency of improvement coefficient
* from key length is not a "monotone" curve. For example while
* 571-bit result is 23% on ARM, 384-bit one is -1%. But it's
* generally faster, sometimes "respectfully" faster, sometimes
* "tolerably" slower... What effectively happens is that loop
* with bn_mul_add_words is put against bn_mul_mont, and the
* latter "wins" on short vectors. Correct solution should be
* implementing dedicated NxN multiplication subroutines for
* small N. But till it materializes, let's stick to generic
* prime method...
* <appro>
*/
meth = EC_GFp_mont_method();
#else
if (BN_nist_mod_func(p))
meth = EC_GFp_nist_method();
else
meth = EC_GFp_mont_method();
#endif
ret = ossl_ec_group_new_ex(ossl_bn_get_libctx(ctx), NULL, meth);
if (ret == NULL)
return NULL;
if (!EC_GROUP_set_curve(ret, p, a, b, ctx)) {
EC_GROUP_free(ret);
return NULL;
}
return ret;
}
#ifndef OPENSSL_NO_EC2M
EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx)
{
const EC_METHOD *meth;
EC_GROUP *ret;
meth = EC_GF2m_simple_method();
ret = ossl_ec_group_new_ex(ossl_bn_get_libctx(ctx), NULL, meth);
if (ret == NULL)
return NULL;
if (!EC_GROUP_set_curve(ret, p, a, b, ctx)) {
EC_GROUP_free(ret);
return NULL;
}
return ret;
}
#endif
|
./openssl/crypto/ec/curve448/scalar.c | /*
* Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2015-2016 Cryptography Research, Inc.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
* Originally written by Mike Hamburg
*/
#include <openssl/crypto.h>
#include "word.h"
#include "point_448.h"
static const c448_word_t MONTGOMERY_FACTOR = (c448_word_t) 0x3bd440fae918bc5ULL;
static const curve448_scalar_t sc_p = {
{
{
SC_LIMB(0x2378c292ab5844f3ULL), SC_LIMB(0x216cc2728dc58f55ULL),
SC_LIMB(0xc44edb49aed63690ULL), SC_LIMB(0xffffffff7cca23e9ULL),
SC_LIMB(0xffffffffffffffffULL), SC_LIMB(0xffffffffffffffffULL),
SC_LIMB(0x3fffffffffffffffULL)
}
}
}, sc_r2 = {
{
{
SC_LIMB(0xe3539257049b9b60ULL), SC_LIMB(0x7af32c4bc1b195d9ULL),
SC_LIMB(0x0d66de2388ea1859ULL), SC_LIMB(0xae17cf725ee4d838ULL),
SC_LIMB(0x1a9cc14ba3c47c44ULL), SC_LIMB(0x2052bcb7e4d070afULL),
SC_LIMB(0x3402a939f823b729ULL)
}
}
};
#define WBITS C448_WORD_BITS /* NB this may be different from ARCH_WORD_BITS */
const curve448_scalar_t ossl_curve448_scalar_one = {{{1}}};
const curve448_scalar_t ossl_curve448_scalar_zero = {{{0}}};
/*
* {extra,accum} - sub +? p
* Must have extra <= 1
*/
static void sc_subx(curve448_scalar_t out,
const c448_word_t accum[C448_SCALAR_LIMBS],
const curve448_scalar_t sub,
const curve448_scalar_t p, c448_word_t extra)
{
c448_dsword_t chain = 0;
unsigned int i;
c448_word_t borrow;
for (i = 0; i < C448_SCALAR_LIMBS; i++) {
chain = (chain + accum[i]) - sub->limb[i];
out->limb[i] = (c448_word_t)chain;
chain >>= WBITS;
}
borrow = (c448_word_t)chain + extra; /* = 0 or -1 */
chain = 0;
for (i = 0; i < C448_SCALAR_LIMBS; i++) {
chain = (chain + out->limb[i]) + (p->limb[i] & borrow);
out->limb[i] = (c448_word_t)chain;
chain >>= WBITS;
}
}
static void sc_montmul(curve448_scalar_t out, const curve448_scalar_t a,
const curve448_scalar_t b)
{
unsigned int i, j;
c448_word_t accum[C448_SCALAR_LIMBS + 1] = { 0 };
c448_word_t hi_carry = 0;
for (i = 0; i < C448_SCALAR_LIMBS; i++) {
c448_word_t mand = a->limb[i];
const c448_word_t *mier = b->limb;
c448_dword_t chain = 0;
for (j = 0; j < C448_SCALAR_LIMBS; j++) {
chain += ((c448_dword_t) mand) * mier[j] + accum[j];
accum[j] = (c448_word_t)chain;
chain >>= WBITS;
}
accum[j] = (c448_word_t)chain;
mand = accum[0] * MONTGOMERY_FACTOR;
chain = 0;
mier = sc_p->limb;
for (j = 0; j < C448_SCALAR_LIMBS; j++) {
chain += (c448_dword_t) mand *mier[j] + accum[j];
if (j)
accum[j - 1] = (c448_word_t)chain;
chain >>= WBITS;
}
chain += accum[j];
chain += hi_carry;
accum[j - 1] = (c448_word_t)chain;
hi_carry = chain >> WBITS;
}
sc_subx(out, accum, sc_p, sc_p, hi_carry);
}
void ossl_curve448_scalar_mul(curve448_scalar_t out, const curve448_scalar_t a,
const curve448_scalar_t b)
{
sc_montmul(out, a, b);
sc_montmul(out, out, sc_r2);
}
void
ossl_curve448_scalar_sub(curve448_scalar_t out, const curve448_scalar_t a,
const curve448_scalar_t b)
{
sc_subx(out, a->limb, b, sc_p, 0);
}
void
ossl_curve448_scalar_add(curve448_scalar_t out, const curve448_scalar_t a,
const curve448_scalar_t b)
{
c448_dword_t chain = 0;
unsigned int i;
for (i = 0; i < C448_SCALAR_LIMBS; i++) {
chain = (chain + a->limb[i]) + b->limb[i];
out->limb[i] = (c448_word_t)chain;
chain >>= WBITS;
}
sc_subx(out, out->limb, sc_p, sc_p, (c448_word_t)chain);
}
static ossl_inline void scalar_decode_short(curve448_scalar_t s,
const unsigned char *ser,
size_t nbytes)
{
size_t i, j, k = 0;
for (i = 0; i < C448_SCALAR_LIMBS; i++) {
c448_word_t out = 0;
for (j = 0; j < sizeof(c448_word_t) && k < nbytes; j++, k++)
out |= ((c448_word_t) ser[k]) << (8 * j);
s->limb[i] = out;
}
}
c448_error_t
ossl_curve448_scalar_decode(curve448_scalar_t s,
const unsigned char ser[C448_SCALAR_BYTES])
{
unsigned int i;
c448_dsword_t accum = 0;
scalar_decode_short(s, ser, C448_SCALAR_BYTES);
for (i = 0; i < C448_SCALAR_LIMBS; i++)
accum = (accum + s->limb[i] - sc_p->limb[i]) >> WBITS;
/* Here accum == 0 or -1 */
ossl_curve448_scalar_mul(s, s, ossl_curve448_scalar_one); /* ham-handed reduce */
return c448_succeed_if(~word_is_zero((uint32_t)accum));
}
void ossl_curve448_scalar_destroy(curve448_scalar_t scalar)
{
OPENSSL_cleanse(scalar, sizeof(curve448_scalar_t));
}
void
ossl_curve448_scalar_decode_long(curve448_scalar_t s,
const unsigned char *ser, size_t ser_len)
{
size_t i;
curve448_scalar_t t1, t2;
if (ser_len == 0) {
curve448_scalar_copy(s, ossl_curve448_scalar_zero);
return;
}
i = ser_len - (ser_len % C448_SCALAR_BYTES);
if (i == ser_len)
i -= C448_SCALAR_BYTES;
scalar_decode_short(t1, &ser[i], ser_len - i);
if (ser_len == sizeof(curve448_scalar_t)) {
assert(i == 0);
/* ham-handed reduce */
ossl_curve448_scalar_mul(s, t1, ossl_curve448_scalar_one);
ossl_curve448_scalar_destroy(t1);
return;
}
while (i) {
i -= C448_SCALAR_BYTES;
sc_montmul(t1, t1, sc_r2);
(void)ossl_curve448_scalar_decode(t2, ser + i);
ossl_curve448_scalar_add(t1, t1, t2);
}
curve448_scalar_copy(s, t1);
ossl_curve448_scalar_destroy(t1);
ossl_curve448_scalar_destroy(t2);
}
void
ossl_curve448_scalar_encode(unsigned char ser[C448_SCALAR_BYTES],
const curve448_scalar_t s)
{
unsigned int i, j, k = 0;
for (i = 0; i < C448_SCALAR_LIMBS; i++) {
for (j = 0; j < sizeof(c448_word_t); j++, k++)
ser[k] = s->limb[i] >> (8 * j);
}
}
void
ossl_curve448_scalar_halve(curve448_scalar_t out, const curve448_scalar_t a)
{
c448_word_t mask = 0 - (a->limb[0] & 1);
c448_dword_t chain = 0;
unsigned int i;
for (i = 0; i < C448_SCALAR_LIMBS; i++) {
chain = (chain + a->limb[i]) + (sc_p->limb[i] & mask);
out->limb[i] = (c448_word_t)chain;
chain >>= C448_WORD_BITS;
}
for (i = 0; i < C448_SCALAR_LIMBS - 1; i++)
out->limb[i] = out->limb[i] >> 1 | out->limb[i + 1] << (WBITS - 1);
out->limb[i] = out->limb[i] >> 1 | (c448_word_t)(chain << (WBITS - 1));
}
|
./openssl/crypto/ec/curve448/point_448.h | /*
* Copyright 2017-2023 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2015-2016 Cryptography Research, Inc.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
* Originally written by Mike Hamburg
*/
#ifndef OSSL_CRYPTO_EC_CURVE448_POINT_448_H
# define OSSL_CRYPTO_EC_CURVE448_POINT_448_H
# include "curve448utils.h"
# include "field.h"
/* Comb config: number of combs, n, t, s. */
#define COMBS_N 5
#define COMBS_T 5
#define COMBS_S 18
/* Projective Niels coordinates */
typedef struct {
gf a, b, c;
} niels_s, niels_t[1];
typedef struct {
niels_t n;
gf z;
} pniels_t[1];
/* Precomputed base */
struct curve448_precomputed_s {
niels_t table[COMBS_N << (COMBS_T - 1)];
};
# define C448_SCALAR_LIMBS ((446-1)/C448_WORD_BITS+1)
/* The number of bits in a scalar */
# define C448_SCALAR_BITS 446
/* Number of bytes in a serialized scalar. */
# define C448_SCALAR_BYTES 56
/* X448 encoding ratio. */
# define X448_ENCODE_RATIO 2
/* Number of bytes in an x448 public key */
# define X448_PUBLIC_BYTES 56
/* Number of bytes in an x448 private key */
# define X448_PRIVATE_BYTES 56
/* Twisted Edwards extended homogeneous coordinates */
typedef struct curve448_point_s {
gf x, y, z, t;
} curve448_point_t[1];
/* Precomputed table based on a point. Can be trivial implementation. */
struct curve448_precomputed_s;
/* Precomputed table based on a point. Can be trivial implementation. */
typedef struct curve448_precomputed_s curve448_precomputed_s;
/* Scalar is stored packed, because we don't need the speed. */
typedef struct curve448_scalar_s {
c448_word_t limb[C448_SCALAR_LIMBS];
} curve448_scalar_t[1];
/* A scalar equal to 1. */
extern const curve448_scalar_t ossl_curve448_scalar_one;
/* A scalar equal to 0. */
extern const curve448_scalar_t ossl_curve448_scalar_zero;
/* The identity point on the curve. */
extern const curve448_point_t ossl_curve448_point_identity;
/* Precomputed table for the base point on the curve. */
extern const struct curve448_precomputed_s *ossl_curve448_precomputed_base;
extern const niels_t *ossl_curve448_wnaf_base;
/*
* Read a scalar from wire format or from bytes.
*
* ser (in): Serialized form of a scalar.
* out (out): Deserialized form.
*
* Returns:
* C448_SUCCESS: The scalar was correctly encoded.
* C448_FAILURE: The scalar was greater than the modulus, and has been reduced
* modulo that modulus.
*/
c448_error_t
ossl_curve448_scalar_decode(curve448_scalar_t out,
const unsigned char ser[C448_SCALAR_BYTES]);
/*
* Read a scalar from wire format or from bytes. Reduces mod scalar prime.
*
* ser (in): Serialized form of a scalar.
* ser_len (in): Length of serialized form.
* out (out): Deserialized form.
*/
void
ossl_curve448_scalar_decode_long(curve448_scalar_t out,
const unsigned char *ser, size_t ser_len);
/*
* Serialize a scalar to wire format.
*
* ser (out): Serialized form of a scalar.
* s (in): Deserialized scalar.
*/
void
ossl_curve448_scalar_encode(unsigned char ser[C448_SCALAR_BYTES],
const curve448_scalar_t s);
/*
* Add two scalars. |a|, |b| and |out| may alias each other.
*
* a (in): One scalar.
* b (in): Another scalar.
* out (out): a+b.
*/
void
ossl_curve448_scalar_add(curve448_scalar_t out,
const curve448_scalar_t a, const curve448_scalar_t b);
/*
* Subtract two scalars. |a|, |b| and |out| may alias each other.
* a (in): One scalar.
* b (in): Another scalar.
* out (out): a-b.
*/
void
ossl_curve448_scalar_sub(curve448_scalar_t out,
const curve448_scalar_t a, const curve448_scalar_t b);
/*
* Multiply two scalars. |a|, |b| and |out| may alias each other.
*
* a (in): One scalar.
* b (in): Another scalar.
* out (out): a*b.
*/
void
ossl_curve448_scalar_mul(curve448_scalar_t out,
const curve448_scalar_t a, const curve448_scalar_t b);
/*
* Halve a scalar. |a| and |out| may alias each other.
*
* a (in): A scalar.
* out (out): a/2.
*/
void
ossl_curve448_scalar_halve(curve448_scalar_t out, const curve448_scalar_t a);
/*
* Copy a scalar. The scalars may alias each other, in which case this
* function does nothing.
*
* a (in): A scalar.
* out (out): Will become a copy of a.
*/
static ossl_inline void curve448_scalar_copy(curve448_scalar_t out,
const curve448_scalar_t a)
{
*out = *a;
}
/*
* Copy a point. The input and output may alias, in which case this function
* does nothing.
*
* a (out): A copy of the point.
* b (in): Any point.
*/
static ossl_inline void curve448_point_copy(curve448_point_t a,
const curve448_point_t b)
{
*a = *b;
}
/*
* Test whether two points are equal. If yes, return C448_TRUE, else return
* C448_FALSE.
*
* a (in): A point.
* b (in): Another point.
*
* Returns:
* C448_TRUE: The points are equal.
* C448_FALSE: The points are not equal.
*/
__owur c448_bool_t
ossl_curve448_point_eq(const curve448_point_t a,
const curve448_point_t b);
/*
* Double a point. Equivalent to curve448_point_add(two_a,a,a), but potentially
* faster.
*
* two_a (out): The sum a+a.
* a (in): A point.
*/
void
ossl_curve448_point_double(curve448_point_t two_a, const curve448_point_t a);
/*
* RFC 7748 Diffie-Hellman scalarmul. This function uses a different
* (non-Decaf) encoding.
*
* out (out): The scaled point base*scalar
* base (in): The point to be scaled.
* scalar (in): The scalar to multiply by.
*
* Returns:
* C448_SUCCESS: The scalarmul succeeded.
* C448_FAILURE: The scalarmul didn't succeed, because the base point is in a
* small subgroup.
*/
__owur c448_error_t
ossl_x448_int(uint8_t out[X448_PUBLIC_BYTES],
const uint8_t base[X448_PUBLIC_BYTES],
const uint8_t scalar[X448_PRIVATE_BYTES]);
/*
* Multiply a point by X448_ENCODE_RATIO, then encode it like RFC 7748.
*
* This function is mainly used internally, but is exported in case
* it will be useful.
*
* The ratio is necessary because the internal representation doesn't
* track the cofactor information, so on output we must clear the cofactor.
* This would multiply by the cofactor, but in fact internally points are always
* even, so it multiplies by half the cofactor instead.
*
* As it happens, this aligns with the base point definitions; that is,
* if you pass the Decaf/Ristretto base point to this function, the result
* will be X448_ENCODE_RATIO times the X448
* base point.
*
* out (out): The scaled and encoded point.
* p (in): The point to be scaled and encoded.
*/
void
ossl_curve448_point_mul_by_ratio_and_encode_like_x448(
uint8_t out[X448_PUBLIC_BYTES],
const curve448_point_t p);
/*
* RFC 7748 Diffie-Hellman base point scalarmul. This function uses a different
* (non-Decaf) encoding.
*
* out (out): The scaled point base*scalar
* scalar (in): The scalar to multiply by.
*/
void
ossl_x448_derive_public_key(uint8_t out[X448_PUBLIC_BYTES],
const uint8_t scalar[X448_PRIVATE_BYTES]);
/*
* Multiply a precomputed base point by a scalar: out = scalar*base.
*
* scaled (out): The scaled point base*scalar
* base (in): The point to be scaled.
* scalar (in): The scalar to multiply by.
*/
void
ossl_curve448_precomputed_scalarmul(curve448_point_t scaled,
const curve448_precomputed_s *base,
const curve448_scalar_t scalar);
/*
* Multiply two base points by two scalars:
* combo = scalar1*curve448_point_base + scalar2*base2.
*
* Otherwise equivalent to curve448_point_double_scalarmul, but may be
* faster at the expense of being variable time.
*
* combo (out): The linear combination scalar1*base + scalar2*base2.
* scalar1 (in): A first scalar to multiply by.
* base2 (in): A second point to be scaled.
* scalar2 (in) A second scalar to multiply by.
*
* Warning: This function takes variable time, and may leak the scalars used.
* It is designed for signature verification.
*/
void
ossl_curve448_base_double_scalarmul_non_secret(curve448_point_t combo,
const curve448_scalar_t scalar1,
const curve448_point_t base2,
const curve448_scalar_t scalar2);
/*
* Test that a point is valid, for debugging purposes.
*
* to_test (in): The point to test.
*
* Returns:
* C448_TRUE The point is valid.
* C448_FALSE The point is invalid.
*/
__owur c448_bool_t
ossl_curve448_point_valid(const curve448_point_t to_test);
/* Overwrite scalar with zeros. */
void ossl_curve448_scalar_destroy(curve448_scalar_t scalar);
/* Overwrite point with zeros. */
void ossl_curve448_point_destroy(curve448_point_t point);
#endif /* OSSL_CRYPTO_EC_CURVE448_POINT_448_H */
|
./openssl/crypto/ec/curve448/curve448.c | /*
* Copyright 2017-2023 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2015-2016 Cryptography Research, Inc.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
* Originally written by Mike Hamburg
*/
#include <openssl/crypto.h>
#include "word.h"
#include "field.h"
#include "point_448.h"
#include "ed448.h"
#include "crypto/ecx.h"
#include "curve448_local.h"
#define COFACTOR 4
#define C448_WNAF_FIXED_TABLE_BITS 5
#define C448_WNAF_VAR_TABLE_BITS 3
#define EDWARDS_D (-39081)
static const curve448_scalar_t precomputed_scalarmul_adjustment = {
{
{
SC_LIMB(0xc873d6d54a7bb0cfULL), SC_LIMB(0xe933d8d723a70aadULL),
SC_LIMB(0xbb124b65129c96fdULL), SC_LIMB(0x00000008335dc163ULL)
}
}
};
#define TWISTED_D (EDWARDS_D - 1)
#define WBITS C448_WORD_BITS /* NB this may be different from ARCH_WORD_BITS */
/* Inverse. */
static void gf_invert(gf y, const gf x, int assert_nonzero)
{
mask_t ret;
gf t1, t2;
ossl_gf_sqr(t1, x); /* o^2 */
ret = gf_isr(t2, t1); /* +-1/sqrt(o^2) = +-1/o */
(void)ret;
if (assert_nonzero)
assert(ret);
ossl_gf_sqr(t1, t2);
ossl_gf_mul(t2, t1, x); /* not direct to y in case of alias. */
gf_copy(y, t2);
}
/** identity = (0,1) */
const curve448_point_t ossl_curve448_point_identity =
{ {{{{0}}}, {{{1}}}, {{{1}}}, {{{0}}}} };
static void point_double_internal(curve448_point_t p, const curve448_point_t q,
int before_double)
{
gf a, b, c, d;
ossl_gf_sqr(c, q->x);
ossl_gf_sqr(a, q->y);
gf_add_nr(d, c, a); /* 2+e */
gf_add_nr(p->t, q->y, q->x); /* 2+e */
ossl_gf_sqr(b, p->t);
gf_subx_nr(b, b, d, 3); /* 4+e */
gf_sub_nr(p->t, a, c); /* 3+e */
ossl_gf_sqr(p->x, q->z);
gf_add_nr(p->z, p->x, p->x); /* 2+e */
gf_subx_nr(a, p->z, p->t, 4); /* 6+e */
if (GF_HEADROOM == 5)
gf_weak_reduce(a); /* or 1+e */
ossl_gf_mul(p->x, a, b);
ossl_gf_mul(p->z, p->t, a);
ossl_gf_mul(p->y, p->t, d);
if (!before_double)
ossl_gf_mul(p->t, b, d);
}
void ossl_curve448_point_double(curve448_point_t p, const curve448_point_t q)
{
point_double_internal(p, q, 0);
}
/* Operations on [p]niels */
static ossl_inline void cond_neg_niels(niels_t n, mask_t neg)
{
gf_cond_swap(n->a, n->b, neg);
gf_cond_neg(n->c, neg);
}
static void pt_to_pniels(pniels_t b, const curve448_point_t a)
{
gf_sub(b->n->a, a->y, a->x);
gf_add(b->n->b, a->x, a->y);
gf_mulw(b->n->c, a->t, 2 * TWISTED_D);
gf_add(b->z, a->z, a->z);
}
static void pniels_to_pt(curve448_point_t e, const pniels_t d)
{
gf eu;
gf_add(eu, d->n->b, d->n->a);
gf_sub(e->y, d->n->b, d->n->a);
ossl_gf_mul(e->t, e->y, eu);
ossl_gf_mul(e->x, d->z, e->y);
ossl_gf_mul(e->y, d->z, eu);
ossl_gf_sqr(e->z, d->z);
}
static void niels_to_pt(curve448_point_t e, const niels_t n)
{
gf_add(e->y, n->b, n->a);
gf_sub(e->x, n->b, n->a);
ossl_gf_mul(e->t, e->y, e->x);
gf_copy(e->z, ONE);
}
static void add_niels_to_pt(curve448_point_t d, const niels_t e,
int before_double)
{
gf a, b, c;
gf_sub_nr(b, d->y, d->x); /* 3+e */
ossl_gf_mul(a, e->a, b);
gf_add_nr(b, d->x, d->y); /* 2+e */
ossl_gf_mul(d->y, e->b, b);
ossl_gf_mul(d->x, e->c, d->t);
gf_add_nr(c, a, d->y); /* 2+e */
gf_sub_nr(b, d->y, a); /* 3+e */
gf_sub_nr(d->y, d->z, d->x); /* 3+e */
gf_add_nr(a, d->x, d->z); /* 2+e */
ossl_gf_mul(d->z, a, d->y);
ossl_gf_mul(d->x, d->y, b);
ossl_gf_mul(d->y, a, c);
if (!before_double)
ossl_gf_mul(d->t, b, c);
}
static void sub_niels_from_pt(curve448_point_t d, const niels_t e,
int before_double)
{
gf a, b, c;
gf_sub_nr(b, d->y, d->x); /* 3+e */
ossl_gf_mul(a, e->b, b);
gf_add_nr(b, d->x, d->y); /* 2+e */
ossl_gf_mul(d->y, e->a, b);
ossl_gf_mul(d->x, e->c, d->t);
gf_add_nr(c, a, d->y); /* 2+e */
gf_sub_nr(b, d->y, a); /* 3+e */
gf_add_nr(d->y, d->z, d->x); /* 2+e */
gf_sub_nr(a, d->z, d->x); /* 3+e */
ossl_gf_mul(d->z, a, d->y);
ossl_gf_mul(d->x, d->y, b);
ossl_gf_mul(d->y, a, c);
if (!before_double)
ossl_gf_mul(d->t, b, c);
}
static void add_pniels_to_pt(curve448_point_t p, const pniels_t pn,
int before_double)
{
gf L0;
ossl_gf_mul(L0, p->z, pn->z);
gf_copy(p->z, L0);
add_niels_to_pt(p, pn->n, before_double);
}
static void sub_pniels_from_pt(curve448_point_t p, const pniels_t pn,
int before_double)
{
gf L0;
ossl_gf_mul(L0, p->z, pn->z);
gf_copy(p->z, L0);
sub_niels_from_pt(p, pn->n, before_double);
}
c448_bool_t
ossl_curve448_point_eq(const curve448_point_t p,
const curve448_point_t q)
{
mask_t succ;
gf a, b;
/* equality mod 2-torsion compares x/y */
ossl_gf_mul(a, p->y, q->x);
ossl_gf_mul(b, q->y, p->x);
succ = gf_eq(a, b);
return mask_to_bool(succ);
}
c448_bool_t
ossl_curve448_point_valid(const curve448_point_t p)
{
mask_t out;
gf a, b, c;
ossl_gf_mul(a, p->x, p->y);
ossl_gf_mul(b, p->z, p->t);
out = gf_eq(a, b);
ossl_gf_sqr(a, p->x);
ossl_gf_sqr(b, p->y);
gf_sub(a, b, a);
ossl_gf_sqr(b, p->t);
gf_mulw(c, b, TWISTED_D);
ossl_gf_sqr(b, p->z);
gf_add(b, b, c);
out &= gf_eq(a, b);
out &= ~gf_eq(p->z, ZERO);
return mask_to_bool(out);
}
static ossl_inline void constant_time_lookup_niels(niels_s * RESTRICT ni,
const niels_t *table,
int nelts, int idx)
{
constant_time_lookup(ni, table, sizeof(niels_s), nelts, idx);
}
void
ossl_curve448_precomputed_scalarmul(curve448_point_t out,
const curve448_precomputed_s *table,
const curve448_scalar_t scalar)
{
unsigned int i, j, k;
const unsigned int n = COMBS_N, t = COMBS_T, s = COMBS_S;
niels_t ni;
curve448_scalar_t scalar1x;
ossl_curve448_scalar_add(scalar1x, scalar, precomputed_scalarmul_adjustment);
ossl_curve448_scalar_halve(scalar1x, scalar1x);
for (i = s; i > 0; i--) {
if (i != s)
point_double_internal(out, out, 0);
for (j = 0; j < n; j++) {
int tab = 0;
mask_t invert;
for (k = 0; k < t; k++) {
unsigned int bit = (i - 1) + s * (k + j * t);
if (bit < C448_SCALAR_BITS)
tab |=
(scalar1x->limb[bit / WBITS] >> (bit % WBITS) & 1) << k;
}
invert = (tab >> (t - 1)) - 1;
tab ^= invert;
tab &= (1 << (t - 1)) - 1;
constant_time_lookup_niels(ni, &table->table[j << (t - 1)],
1 << (t - 1), tab);
cond_neg_niels(ni, invert);
if ((i != s) || j != 0)
add_niels_to_pt(out, ni, j == n - 1 && i != 1);
else
niels_to_pt(out, ni);
}
}
OPENSSL_cleanse(ni, sizeof(ni));
OPENSSL_cleanse(scalar1x, sizeof(scalar1x));
}
void
ossl_curve448_point_mul_by_ratio_and_encode_like_eddsa(
uint8_t enc[EDDSA_448_PUBLIC_BYTES],
const curve448_point_t p)
{
gf x, y, z, t;
curve448_point_t q;
/* The point is now on the twisted curve. Move it to untwisted. */
curve448_point_copy(q, p);
{
/* 4-isogeny: 2xy/(y^+x^2), (y^2-x^2)/(2z^2-y^2+x^2) */
gf u;
ossl_gf_sqr(x, q->x);
ossl_gf_sqr(t, q->y);
gf_add(u, x, t);
gf_add(z, q->y, q->x);
ossl_gf_sqr(y, z);
gf_sub(y, y, u);
gf_sub(z, t, x);
ossl_gf_sqr(x, q->z);
gf_add(t, x, x);
gf_sub(t, t, z);
ossl_gf_mul(x, t, y);
ossl_gf_mul(y, z, u);
ossl_gf_mul(z, u, t);
OPENSSL_cleanse(u, sizeof(u));
}
/* Affinize */
gf_invert(z, z, 1);
ossl_gf_mul(t, x, z);
ossl_gf_mul(x, y, z);
/* Encode */
enc[EDDSA_448_PRIVATE_BYTES - 1] = 0;
gf_serialize(enc, x, 1);
enc[EDDSA_448_PRIVATE_BYTES - 1] |= 0x80 & gf_lobit(t);
OPENSSL_cleanse(x, sizeof(x));
OPENSSL_cleanse(y, sizeof(y));
OPENSSL_cleanse(z, sizeof(z));
OPENSSL_cleanse(t, sizeof(t));
ossl_curve448_point_destroy(q);
}
c448_error_t
ossl_curve448_point_decode_like_eddsa_and_mul_by_ratio(
curve448_point_t p,
const uint8_t enc[EDDSA_448_PUBLIC_BYTES])
{
uint8_t enc2[EDDSA_448_PUBLIC_BYTES];
mask_t low;
mask_t succ;
memcpy(enc2, enc, sizeof(enc2));
low = ~word_is_zero(enc2[EDDSA_448_PRIVATE_BYTES - 1] & 0x80);
enc2[EDDSA_448_PRIVATE_BYTES - 1] &= ~0x80;
succ = gf_deserialize(p->y, enc2, 1, 0);
succ &= word_is_zero(enc2[EDDSA_448_PRIVATE_BYTES - 1]);
ossl_gf_sqr(p->x, p->y);
gf_sub(p->z, ONE, p->x); /* num = 1-y^2 */
gf_mulw(p->t, p->x, EDWARDS_D); /* dy^2 */
gf_sub(p->t, ONE, p->t); /* denom = 1-dy^2 or 1-d + dy^2 */
ossl_gf_mul(p->x, p->z, p->t);
succ &= gf_isr(p->t, p->x); /* 1/sqrt(num * denom) */
ossl_gf_mul(p->x, p->t, p->z); /* sqrt(num / denom) */
gf_cond_neg(p->x, gf_lobit(p->x) ^ low);
gf_copy(p->z, ONE);
{
gf a, b, c, d;
/* 4-isogeny 2xy/(y^2-ax^2), (y^2+ax^2)/(2-y^2-ax^2) */
ossl_gf_sqr(c, p->x);
ossl_gf_sqr(a, p->y);
gf_add(d, c, a);
gf_add(p->t, p->y, p->x);
ossl_gf_sqr(b, p->t);
gf_sub(b, b, d);
gf_sub(p->t, a, c);
ossl_gf_sqr(p->x, p->z);
gf_add(p->z, p->x, p->x);
gf_sub(a, p->z, d);
ossl_gf_mul(p->x, a, b);
ossl_gf_mul(p->z, p->t, a);
ossl_gf_mul(p->y, p->t, d);
ossl_gf_mul(p->t, b, d);
OPENSSL_cleanse(a, sizeof(a));
OPENSSL_cleanse(b, sizeof(b));
OPENSSL_cleanse(c, sizeof(c));
OPENSSL_cleanse(d, sizeof(d));
}
OPENSSL_cleanse(enc2, sizeof(enc2));
assert(ossl_curve448_point_valid(p) || ~succ);
return c448_succeed_if(mask_to_bool(succ));
}
c448_error_t
ossl_x448_int(uint8_t out[X_PUBLIC_BYTES],
const uint8_t base[X_PUBLIC_BYTES],
const uint8_t scalar[X_PRIVATE_BYTES])
{
gf x1, x2, z2, x3, z3, t1, t2;
int t;
mask_t swap = 0;
mask_t nz;
(void)gf_deserialize(x1, base, 1, 0);
gf_copy(x2, ONE);
gf_copy(z2, ZERO);
gf_copy(x3, x1);
gf_copy(z3, ONE);
for (t = X_PRIVATE_BITS - 1; t >= 0; t--) {
uint8_t sb = scalar[t / 8];
mask_t k_t;
/* Scalar conditioning */
if (t / 8 == 0)
sb &= -(uint8_t)COFACTOR;
else if (t == X_PRIVATE_BITS - 1)
sb = -1;
k_t = (sb >> (t % 8)) & 1;
k_t = 0 - k_t; /* set to all 0s or all 1s */
swap ^= k_t;
gf_cond_swap(x2, x3, swap);
gf_cond_swap(z2, z3, swap);
swap = k_t;
/*
* The "_nr" below skips coefficient reduction. In the following
* comments, "2+e" is saying that the coefficients are at most 2+epsilon
* times the reduction limit.
*/
gf_add_nr(t1, x2, z2); /* A = x2 + z2 */ /* 2+e */
gf_sub_nr(t2, x2, z2); /* B = x2 - z2 */ /* 3+e */
gf_sub_nr(z2, x3, z3); /* D = x3 - z3 */ /* 3+e */
ossl_gf_mul(x2, t1, z2); /* DA */
gf_add_nr(z2, z3, x3); /* C = x3 + z3 */ /* 2+e */
ossl_gf_mul(x3, t2, z2); /* CB */
gf_sub_nr(z3, x2, x3); /* DA-CB */ /* 3+e */
ossl_gf_sqr(z2, z3); /* (DA-CB)^2 */
ossl_gf_mul(z3, x1, z2); /* z3 = x1(DA-CB)^2 */
gf_add_nr(z2, x2, x3); /* (DA+CB) */ /* 2+e */
ossl_gf_sqr(x3, z2); /* x3 = (DA+CB)^2 */
ossl_gf_sqr(z2, t1); /* AA = A^2 */
ossl_gf_sqr(t1, t2); /* BB = B^2 */
ossl_gf_mul(x2, z2, t1); /* x2 = AA*BB */
gf_sub_nr(t2, z2, t1); /* E = AA-BB */ /* 3+e */
gf_mulw(t1, t2, -EDWARDS_D); /* E*-d = a24*E */
gf_add_nr(t1, t1, z2); /* AA + a24*E */ /* 2+e */
ossl_gf_mul(z2, t2, t1); /* z2 = E(AA+a24*E) */
}
/* Finish */
gf_cond_swap(x2, x3, swap);
gf_cond_swap(z2, z3, swap);
gf_invert(z2, z2, 0);
ossl_gf_mul(x1, x2, z2);
gf_serialize(out, x1, 1);
nz = ~gf_eq(x1, ZERO);
OPENSSL_cleanse(x1, sizeof(x1));
OPENSSL_cleanse(x2, sizeof(x2));
OPENSSL_cleanse(z2, sizeof(z2));
OPENSSL_cleanse(x3, sizeof(x3));
OPENSSL_cleanse(z3, sizeof(z3));
OPENSSL_cleanse(t1, sizeof(t1));
OPENSSL_cleanse(t2, sizeof(t2));
return c448_succeed_if(mask_to_bool(nz));
}
void
ossl_curve448_point_mul_by_ratio_and_encode_like_x448(uint8_t
out[X_PUBLIC_BYTES],
const curve448_point_t p)
{
curve448_point_t q;
curve448_point_copy(q, p);
gf_invert(q->t, q->x, 0); /* 1/x */
ossl_gf_mul(q->z, q->t, q->y); /* y/x */
ossl_gf_sqr(q->y, q->z); /* (y/x)^2 */
gf_serialize(out, q->y, 1);
ossl_curve448_point_destroy(q);
}
void ossl_x448_derive_public_key(uint8_t out[X_PUBLIC_BYTES],
const uint8_t scalar[X_PRIVATE_BYTES])
{
/* Scalar conditioning */
uint8_t scalar2[X_PRIVATE_BYTES];
curve448_scalar_t the_scalar;
curve448_point_t p;
unsigned int i;
memcpy(scalar2, scalar, sizeof(scalar2));
scalar2[0] &= -(uint8_t)COFACTOR;
scalar2[X_PRIVATE_BYTES - 1] &= ~((0u - 1u) << ((X_PRIVATE_BITS + 7) % 8));
scalar2[X_PRIVATE_BYTES - 1] |= 1 << ((X_PRIVATE_BITS + 7) % 8);
ossl_curve448_scalar_decode_long(the_scalar, scalar2, sizeof(scalar2));
/* Compensate for the encoding ratio */
for (i = 1; i < X448_ENCODE_RATIO; i <<= 1)
ossl_curve448_scalar_halve(the_scalar, the_scalar);
ossl_curve448_precomputed_scalarmul(p, ossl_curve448_precomputed_base,
the_scalar);
ossl_curve448_point_mul_by_ratio_and_encode_like_x448(out, p);
ossl_curve448_point_destroy(p);
}
/* Control for variable-time scalar multiply algorithms. */
struct smvt_control {
int power, addend;
};
#if defined(__GNUC__) && (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ > 3))
# define NUMTRAILINGZEROS __builtin_ctz
#else
# define NUMTRAILINGZEROS numtrailingzeros
static uint32_t numtrailingzeros(uint32_t i)
{
uint32_t tmp;
uint32_t num = 31;
if (i == 0)
return 32;
tmp = i << 16;
if (tmp != 0) {
i = tmp;
num -= 16;
}
tmp = i << 8;
if (tmp != 0) {
i = tmp;
num -= 8;
}
tmp = i << 4;
if (tmp != 0) {
i = tmp;
num -= 4;
}
tmp = i << 2;
if (tmp != 0) {
i = tmp;
num -= 2;
}
tmp = i << 1;
if (tmp != 0)
num--;
return num;
}
#endif
static int recode_wnaf(struct smvt_control *control,
/* [nbits/(table_bits + 1) + 3] */
const curve448_scalar_t scalar,
unsigned int table_bits)
{
unsigned int table_size = C448_SCALAR_BITS / (table_bits + 1) + 3;
int position = table_size - 1; /* at the end */
uint64_t current = scalar->limb[0] & 0xFFFF;
uint32_t mask = (1 << (table_bits + 1)) - 1;
unsigned int w;
const unsigned int B_OVER_16 = sizeof(scalar->limb[0]) / 2;
unsigned int n, i;
/* place the end marker */
control[position].power = -1;
control[position].addend = 0;
position--;
/*
* PERF: Could negate scalar if it's large. But then would need more cases
* in the actual code that uses it, all for an expected reduction of like
* 1/5 op. Probably not worth it.
*/
for (w = 1; w < (C448_SCALAR_BITS - 1) / 16 + 3; w++) {
if (w < (C448_SCALAR_BITS - 1) / 16 + 1) {
/* Refill the 16 high bits of current */
current += (uint32_t)((scalar->limb[w / B_OVER_16]
>> (16 * (w % B_OVER_16))) << 16);
}
while (current & 0xFFFF) {
uint32_t pos = NUMTRAILINGZEROS((uint32_t)current);
uint32_t odd = (uint32_t)current >> pos;
int32_t delta = odd & mask;
assert(position >= 0);
if (odd & (1 << (table_bits + 1)))
delta -= (1 << (table_bits + 1));
/*
* Coverity gets confused by the value of pos, thinking it might be
* 32. This would require current & 0xFFFF to be zero which isn't
* possible. Suppress this false positive, since adding a check
* isn't desirable.
*/
/* coverity[overflow_before_widen] */
current -= delta * (1 << pos);
control[position].power = pos + 16 * (w - 1);
control[position].addend = delta;
position--;
}
current >>= 16;
}
assert(current == 0);
position++;
n = table_size - position;
for (i = 0; i < n; i++)
control[i] = control[i + position];
return n - 1;
}
static void prepare_wnaf_table(pniels_t *output,
const curve448_point_t working,
unsigned int tbits)
{
curve448_point_t tmp;
int i;
pniels_t twop;
pt_to_pniels(output[0], working);
if (tbits == 0)
return;
ossl_curve448_point_double(tmp, working);
pt_to_pniels(twop, tmp);
add_pniels_to_pt(tmp, output[0], 0);
pt_to_pniels(output[1], tmp);
for (i = 2; i < 1 << tbits; i++) {
add_pniels_to_pt(tmp, twop, 0);
pt_to_pniels(output[i], tmp);
}
ossl_curve448_point_destroy(tmp);
OPENSSL_cleanse(twop, sizeof(twop));
}
void
ossl_curve448_base_double_scalarmul_non_secret(curve448_point_t combo,
const curve448_scalar_t scalar1,
const curve448_point_t base2,
const curve448_scalar_t scalar2)
{
const int table_bits_var = C448_WNAF_VAR_TABLE_BITS;
const int table_bits_pre = C448_WNAF_FIXED_TABLE_BITS;
struct smvt_control control_var[C448_SCALAR_BITS /
(C448_WNAF_VAR_TABLE_BITS + 1) + 3];
struct smvt_control control_pre[C448_SCALAR_BITS /
(C448_WNAF_FIXED_TABLE_BITS + 1) + 3];
int ncb_pre = recode_wnaf(control_pre, scalar1, table_bits_pre);
int ncb_var = recode_wnaf(control_var, scalar2, table_bits_var);
pniels_t precmp_var[1 << C448_WNAF_VAR_TABLE_BITS];
int contp = 0, contv = 0, i;
prepare_wnaf_table(precmp_var, base2, table_bits_var);
i = control_var[0].power;
if (i < 0) {
curve448_point_copy(combo, ossl_curve448_point_identity);
return;
}
if (i > control_pre[0].power) {
pniels_to_pt(combo, precmp_var[control_var[0].addend >> 1]);
contv++;
} else if (i == control_pre[0].power && i >= 0) {
pniels_to_pt(combo, precmp_var[control_var[0].addend >> 1]);
add_niels_to_pt(combo,
ossl_curve448_wnaf_base[control_pre[0].addend >> 1],
i);
contv++;
contp++;
} else {
i = control_pre[0].power;
niels_to_pt(combo, ossl_curve448_wnaf_base[control_pre[0].addend >> 1]);
contp++;
}
for (i--; i >= 0; i--) {
int cv = (i == control_var[contv].power);
int cp = (i == control_pre[contp].power);
point_double_internal(combo, combo, i && !(cv || cp));
if (cv) {
assert(control_var[contv].addend);
if (control_var[contv].addend > 0)
add_pniels_to_pt(combo,
precmp_var[control_var[contv].addend >> 1],
i && !cp);
else
sub_pniels_from_pt(combo,
precmp_var[(-control_var[contv].addend)
>> 1], i && !cp);
contv++;
}
if (cp) {
assert(control_pre[contp].addend);
if (control_pre[contp].addend > 0)
add_niels_to_pt(combo,
ossl_curve448_wnaf_base[control_pre[contp].addend
>> 1], i);
else
sub_niels_from_pt(combo,
ossl_curve448_wnaf_base[(-control_pre
[contp].addend) >> 1], i);
contp++;
}
}
/* This function is non-secret, but whatever this is cheap. */
OPENSSL_cleanse(control_var, sizeof(control_var));
OPENSSL_cleanse(control_pre, sizeof(control_pre));
OPENSSL_cleanse(precmp_var, sizeof(precmp_var));
assert(contv == ncb_var);
(void)ncb_var;
assert(contp == ncb_pre);
(void)ncb_pre;
}
void ossl_curve448_point_destroy(curve448_point_t point)
{
OPENSSL_cleanse(point, sizeof(curve448_point_t));
}
int ossl_x448(uint8_t out_shared_key[56], const uint8_t private_key[56],
const uint8_t peer_public_value[56])
{
return ossl_x448_int(out_shared_key, peer_public_value, private_key)
== C448_SUCCESS;
}
void ossl_x448_public_from_private(uint8_t out_public_value[56],
const uint8_t private_key[56])
{
ossl_x448_derive_public_key(out_public_value, private_key);
}
|
./openssl/crypto/ec/curve448/ed448.h | /*
* Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2015-2016 Cryptography Research, Inc.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
* Originally written by Mike Hamburg
*/
#ifndef OSSL_CRYPTO_EC_CURVE448_ED448_H
# define OSSL_CRYPTO_EC_CURVE448_ED448_H
# include "point_448.h"
/* Number of bytes in an EdDSA public key. */
# define EDDSA_448_PUBLIC_BYTES 57
/* Number of bytes in an EdDSA private key. */
# define EDDSA_448_PRIVATE_BYTES EDDSA_448_PUBLIC_BYTES
/* Number of bytes in an EdDSA signature. */
# define EDDSA_448_SIGNATURE_BYTES (EDDSA_448_PUBLIC_BYTES + \
EDDSA_448_PRIVATE_BYTES)
/* EdDSA encoding ratio. */
# define C448_EDDSA_ENCODE_RATIO 4
/* EdDSA decoding ratio. */
# define C448_EDDSA_DECODE_RATIO (4 / 4)
/*
* EdDSA key generation. This function uses a different (non-Decaf) encoding.
*
* pubkey (out): The public key.
* privkey (in): The private key.
*/
c448_error_t
ossl_c448_ed448_derive_public_key(
OSSL_LIB_CTX *ctx,
uint8_t pubkey [EDDSA_448_PUBLIC_BYTES],
const uint8_t privkey [EDDSA_448_PRIVATE_BYTES],
const char *propq);
/*
* EdDSA signing.
*
* signature (out): The signature.
* privkey (in): The private key.
* pubkey (in): The public key.
* message (in): The message to sign.
* message_len (in): The length of the message.
* prehashed (in): Nonzero if the message is actually the hash of something
* you want to sign.
* context (in): A "context" for this signature of up to 255 bytes.
* context_len (in): Length of the context.
*
* For Ed25519, it is unsafe to use the same key for both prehashed and
* non-prehashed messages, at least without some very careful protocol-level
* disambiguation. For Ed448 it is safe.
*/
c448_error_t
ossl_c448_ed448_sign(OSSL_LIB_CTX *ctx,
uint8_t signature[EDDSA_448_SIGNATURE_BYTES],
const uint8_t privkey[EDDSA_448_PRIVATE_BYTES],
const uint8_t pubkey[EDDSA_448_PUBLIC_BYTES],
const uint8_t *message, size_t message_len,
uint8_t prehashed, const uint8_t *context,
size_t context_len,
const char *propq);
/*
* EdDSA signing with prehash.
*
* signature (out): The signature.
* privkey (in): The private key.
* pubkey (in): The public key.
* hash (in): The hash of the message. This object will not be modified by the
* call.
* context (in): A "context" for this signature of up to 255 bytes. Must be the
* same as what was used for the prehash.
* context_len (in): Length of the context.
*
* For Ed25519, it is unsafe to use the same key for both prehashed and
* non-prehashed messages, at least without some very careful protocol-level
* disambiguation. For Ed448 it is safe.
*/
c448_error_t
ossl_c448_ed448_sign_prehash(OSSL_LIB_CTX *ctx,
uint8_t signature[EDDSA_448_SIGNATURE_BYTES],
const uint8_t privkey[EDDSA_448_PRIVATE_BYTES],
const uint8_t pubkey[EDDSA_448_PUBLIC_BYTES],
const uint8_t hash[64],
const uint8_t *context,
size_t context_len,
const char *propq);
/*
* EdDSA signature verification.
*
* Uses the standard (i.e. less-strict) verification formula.
*
* signature (in): The signature.
* pubkey (in): The public key.
* message (in): The message to verify.
* message_len (in): The length of the message.
* prehashed (in): Nonzero if the message is actually the hash of something you
* want to verify.
* context (in): A "context" for this signature of up to 255 bytes.
* context_len (in): Length of the context.
*
* For Ed25519, it is unsafe to use the same key for both prehashed and
* non-prehashed messages, at least without some very careful protocol-level
* disambiguation. For Ed448 it is safe.
*/
c448_error_t
ossl_c448_ed448_verify(OSSL_LIB_CTX *ctx,
const uint8_t
signature[EDDSA_448_SIGNATURE_BYTES],
const uint8_t
pubkey[EDDSA_448_PUBLIC_BYTES],
const uint8_t *message, size_t message_len,
uint8_t prehashed, const uint8_t *context,
uint8_t context_len,
const char *propq);
/*
* EdDSA signature verification.
*
* Uses the standard (i.e. less-strict) verification formula.
*
* signature (in): The signature.
* pubkey (in): The public key.
* hash (in): The hash of the message. This object will not be modified by the
* call.
* context (in): A "context" for this signature of up to 255 bytes. Must be the
* same as what was used for the prehash.
* context_len (in): Length of the context.
*
* For Ed25519, it is unsafe to use the same key for both prehashed and
* non-prehashed messages, at least without some very careful protocol-level
* disambiguation. For Ed448 it is safe.
*/
c448_error_t
ossl_c448_ed448_verify_prehash(
OSSL_LIB_CTX *ctx,
const uint8_t signature[EDDSA_448_SIGNATURE_BYTES],
const uint8_t pubkey[EDDSA_448_PUBLIC_BYTES],
const uint8_t hash[64],
const uint8_t *context,
uint8_t context_len,
const char *propq);
/*
* EdDSA point encoding. Used internally, exposed externally.
* Multiplies by C448_EDDSA_ENCODE_RATIO first.
*
* The multiplication is required because the EdDSA encoding represents
* the cofactor information, but the Decaf encoding ignores it (which
* is the whole point). So if you decode from EdDSA and re-encode to
* EdDSA, the cofactor info must get cleared, because the intermediate
* representation doesn't track it.
*
* The way we handle this is to multiply by C448_EDDSA_DECODE_RATIO when
* decoding, and by C448_EDDSA_ENCODE_RATIO when encoding. The product of
* these ratios is always exactly the cofactor 4, so the cofactor ends up
* cleared one way or another. But exactly how that shakes out depends on the
* base points specified in RFC 8032.
*
* The upshot is that if you pass the Decaf/Ristretto base point to
* this function, you will get C448_EDDSA_ENCODE_RATIO times the
* EdDSA base point.
*
* enc (out): The encoded point.
* p (in): The point.
*/
void
ossl_curve448_point_mul_by_ratio_and_encode_like_eddsa(
uint8_t enc [EDDSA_448_PUBLIC_BYTES],
const curve448_point_t p);
/*
* EdDSA point decoding. Multiplies by C448_EDDSA_DECODE_RATIO, and
* ignores cofactor information.
*
* See notes on curve448_point_mul_by_ratio_and_encode_like_eddsa
*
* enc (out): The encoded point.
* p (in): The point.
*/
c448_error_t
ossl_curve448_point_decode_like_eddsa_and_mul_by_ratio(
curve448_point_t p,
const uint8_t enc[EDDSA_448_PUBLIC_BYTES]);
/*
* EdDSA to ECDH private key conversion
* Using the appropriate hash function, hash the EdDSA private key
* and keep only the lower bytes to get the ECDH private key
*
* x (out): The ECDH private key as in RFC7748
* ed (in): The EdDSA private key
*/
c448_error_t
ossl_c448_ed448_convert_private_key_to_x448(
OSSL_LIB_CTX *ctx,
uint8_t x[X448_PRIVATE_BYTES],
const uint8_t ed[EDDSA_448_PRIVATE_BYTES],
const char *propq);
#endif /* OSSL_CRYPTO_EC_CURVE448_ED448_H */
|
./openssl/crypto/ec/curve448/curve448_local.h | /*
* Copyright 2017-2023 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#ifndef OSSL_CRYPTO_EC_CURVE448_LOCAL_H
# define OSSL_CRYPTO_EC_CURVE448_LOCAL_H
# include "curve448utils.h"
#endif /* OSSL_CRYPTO_EC_CURVE448_LOCAL_H */
|
./openssl/crypto/ec/curve448/f_generic.c | /*
* Copyright 2017-2023 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2015-2016 Cryptography Research, Inc.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
* Originally written by Mike Hamburg
*/
#include "field.h"
static const gf MODULUS = {
FIELD_LITERAL(0xffffffffffffffULL, 0xffffffffffffffULL, 0xffffffffffffffULL,
0xffffffffffffffULL, 0xfffffffffffffeULL, 0xffffffffffffffULL,
0xffffffffffffffULL, 0xffffffffffffffULL)
};
/* Serialize to wire format. */
void gf_serialize(uint8_t serial[SER_BYTES], const gf x, int with_hibit)
{
unsigned int j = 0, fill = 0;
dword_t buffer = 0;
int i;
gf red;
gf_copy(red, x);
gf_strong_reduce(red);
if (!with_hibit)
assert(gf_hibit(red) == 0);
for (i = 0; i < (with_hibit ? X_SER_BYTES : SER_BYTES); i++) {
if (fill < 8 && j < NLIMBS) {
buffer |= ((dword_t) red->limb[LIMBPERM(j)]) << fill;
fill += LIMB_PLACE_VALUE(LIMBPERM(j));
j++;
}
serial[i] = (uint8_t)buffer;
fill -= 8;
buffer >>= 8;
}
}
/* Return high bit of x = low bit of 2x mod p */
mask_t gf_hibit(const gf x)
{
gf y;
gf_add(y, x, x);
gf_strong_reduce(y);
return 0 - (y->limb[0] & 1);
}
/* Return high bit of x = low bit of 2x mod p */
mask_t gf_lobit(const gf x)
{
gf y;
gf_copy(y, x);
gf_strong_reduce(y);
return 0 - (y->limb[0] & 1);
}
/* Deserialize from wire format; return -1 on success and 0 on failure. */
mask_t gf_deserialize(gf x, const uint8_t serial[SER_BYTES], int with_hibit,
uint8_t hi_nmask)
{
unsigned int j = 0, fill = 0;
dword_t buffer = 0;
dsword_t scarry = 0;
const unsigned nbytes = with_hibit ? X_SER_BYTES : SER_BYTES;
unsigned int i;
mask_t succ;
for (i = 0; i < NLIMBS; i++) {
while (fill < LIMB_PLACE_VALUE(LIMBPERM(i)) && j < nbytes) {
uint8_t sj;
sj = serial[j];
if (j == nbytes - 1)
sj &= ~hi_nmask;
buffer |= ((dword_t) sj) << fill;
fill += 8;
j++;
}
x->limb[LIMBPERM(i)] = (word_t)
((i < NLIMBS - 1) ? buffer & LIMB_MASK(LIMBPERM(i)) : buffer);
fill -= LIMB_PLACE_VALUE(LIMBPERM(i));
buffer >>= LIMB_PLACE_VALUE(LIMBPERM(i));
scarry =
(scarry + x->limb[LIMBPERM(i)] -
MODULUS->limb[LIMBPERM(i)]) >> (8 * sizeof(word_t));
}
succ = with_hibit ? 0 - (mask_t) 1 : ~gf_hibit(x);
return succ & word_is_zero((word_t)buffer) & ~word_is_zero((word_t)scarry);
}
/* Reduce to canonical form. */
void gf_strong_reduce(gf a)
{
dsword_t scarry;
word_t scarry_0;
dword_t carry = 0;
unsigned int i;
/* first, clear high */
gf_weak_reduce(a); /* Determined to have negligible perf impact. */
/* now the total is less than 2p */
/* compute total_value - p. No need to reduce mod p. */
scarry = 0;
for (i = 0; i < NLIMBS; i++) {
scarry = scarry + a->limb[LIMBPERM(i)] - MODULUS->limb[LIMBPERM(i)];
a->limb[LIMBPERM(i)] = scarry & LIMB_MASK(LIMBPERM(i));
scarry >>= LIMB_PLACE_VALUE(LIMBPERM(i));
}
/*
* uncommon case: it was >= p, so now scarry = 0 and this = x common case:
* it was < p, so now scarry = -1 and this = x - p + 2^255 so let's add
* back in p. will carry back off the top for 2^255.
*/
assert(scarry == 0 || scarry == -1);
scarry_0 = (word_t)scarry;
/* add it back */
for (i = 0; i < NLIMBS; i++) {
carry =
carry + a->limb[LIMBPERM(i)] +
(scarry_0 & MODULUS->limb[LIMBPERM(i)]);
a->limb[LIMBPERM(i)] = carry & LIMB_MASK(LIMBPERM(i));
carry >>= LIMB_PLACE_VALUE(LIMBPERM(i));
}
assert(carry < 2 && ((word_t)carry + scarry_0) == 0);
}
/* Subtract two gf elements d=a-b */
void gf_sub(gf d, const gf a, const gf b)
{
gf_sub_RAW(d, a, b);
gf_bias(d, 2);
gf_weak_reduce(d);
}
/* Add two field elements d = a+b */
void gf_add(gf d, const gf a, const gf b)
{
gf_add_RAW(d, a, b);
gf_weak_reduce(d);
}
/* Compare a==b */
mask_t gf_eq(const gf a, const gf b)
{
gf c;
mask_t ret = 0;
unsigned int i;
gf_sub(c, a, b);
gf_strong_reduce(c);
for (i = 0; i < NLIMBS; i++)
ret |= c->limb[LIMBPERM(i)];
return word_is_zero(ret);
}
mask_t gf_isr(gf a, const gf x)
{
gf L0, L1, L2;
ossl_gf_sqr(L1, x);
ossl_gf_mul(L2, x, L1);
ossl_gf_sqr(L1, L2);
ossl_gf_mul(L2, x, L1);
gf_sqrn(L1, L2, 3);
ossl_gf_mul(L0, L2, L1);
gf_sqrn(L1, L0, 3);
ossl_gf_mul(L0, L2, L1);
gf_sqrn(L2, L0, 9);
ossl_gf_mul(L1, L0, L2);
ossl_gf_sqr(L0, L1);
ossl_gf_mul(L2, x, L0);
gf_sqrn(L0, L2, 18);
ossl_gf_mul(L2, L1, L0);
gf_sqrn(L0, L2, 37);
ossl_gf_mul(L1, L2, L0);
gf_sqrn(L0, L1, 37);
ossl_gf_mul(L1, L2, L0);
gf_sqrn(L0, L1, 111);
ossl_gf_mul(L2, L1, L0);
ossl_gf_sqr(L0, L2);
ossl_gf_mul(L1, x, L0);
gf_sqrn(L0, L1, 223);
ossl_gf_mul(L1, L2, L0);
ossl_gf_sqr(L2, L1);
ossl_gf_mul(L0, L2, x);
gf_copy(a, L1);
return gf_eq(L0, ONE);
}
|
./openssl/crypto/ec/curve448/curve448utils.h | /*
* Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2015 Cryptography Research, Inc.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
* Originally written by Mike Hamburg
*/
#ifndef OSSL_CRYPTO_EC_CURVE448UTILS_H
# define OSSL_CRYPTO_EC_CURVE448UTILS_H
# include <openssl/e_os2.h>
# include "internal/numbers.h"
/*
* Internal word types. Somewhat tricky. This could be decided separately per
* platform. However, the structs do need to be all the same size and
* alignment on a given platform to support dynamic linking, since even if you
* header was built with eg arch_neon, you might end up linking a library built
* with arch_arm32.
*/
# ifndef C448_WORD_BITS
# if (defined(__SIZEOF_INT128__) && (__SIZEOF_INT128__ == 16)) \
&& !defined(__sparc__) \
&& (!defined(__SIZEOF_LONG__) || (__SIZEOF_LONG__ == 8))
# define C448_WORD_BITS 64 /* The number of bits in a word */
# else
# define C448_WORD_BITS 32 /* The number of bits in a word */
# endif
# endif
# if C448_WORD_BITS == 64
/* Word size for internal computations */
typedef uint64_t c448_word_t;
/* Signed word size for internal computations */
typedef int64_t c448_sword_t;
/* "Boolean" type, will be set to all-zero or all-one (i.e. -1u) */
typedef uint64_t c448_bool_t;
/* Double-word size for internal computations */
typedef uint128_t c448_dword_t;
/* Signed double-word size for internal computations */
typedef int128_t c448_dsword_t;
# elif C448_WORD_BITS == 32
/* Word size for internal computations */
typedef uint32_t c448_word_t;
/* Signed word size for internal computations */
typedef int32_t c448_sword_t;
/* "Boolean" type, will be set to all-zero or all-one (i.e. -1u) */
typedef uint32_t c448_bool_t;
/* Double-word size for internal computations */
typedef uint64_t c448_dword_t;
/* Signed double-word size for internal computations */
typedef int64_t c448_dsword_t;
# else
# error "Only supporting C448_WORD_BITS = 32 or 64 for now"
# endif
/* C448_TRUE = -1 so that C448_TRUE & x = x */
# define C448_TRUE (0 - (c448_bool_t)1)
/* C448_FALSE = 0 so that C448_FALSE & x = 0 */
# define C448_FALSE 0
/* Another boolean type used to indicate success or failure. */
typedef enum {
C448_SUCCESS = -1, /**< The operation succeeded. */
C448_FAILURE = 0 /**< The operation failed. */
} c448_error_t;
/* Return success if x is true */
static ossl_inline c448_error_t c448_succeed_if(c448_bool_t x)
{
return (c448_error_t) x;
}
#endif /* __C448_COMMON_H__ */
|
./openssl/crypto/ec/curve448/eddsa.c | /*
* Copyright 2017-2023 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2015-2016 Cryptography Research, Inc.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
* Originally written by Mike Hamburg
*/
#include <string.h>
#include <openssl/crypto.h>
#include <openssl/evp.h>
#include "crypto/ecx.h"
#include "curve448_local.h"
#include "word.h"
#include "ed448.h"
#include "internal/numbers.h"
#define COFACTOR 4
static c448_error_t oneshot_hash(OSSL_LIB_CTX *ctx, uint8_t *out, size_t outlen,
const uint8_t *in, size_t inlen,
const char *propq)
{
EVP_MD_CTX *hashctx = EVP_MD_CTX_new();
EVP_MD *shake256 = NULL;
c448_error_t ret = C448_FAILURE;
if (hashctx == NULL)
return C448_FAILURE;
shake256 = EVP_MD_fetch(ctx, "SHAKE256", propq);
if (shake256 == NULL)
goto err;
if (!EVP_DigestInit_ex(hashctx, shake256, NULL)
|| !EVP_DigestUpdate(hashctx, in, inlen)
|| !EVP_DigestFinalXOF(hashctx, out, outlen))
goto err;
ret = C448_SUCCESS;
err:
EVP_MD_CTX_free(hashctx);
EVP_MD_free(shake256);
return ret;
}
static void clamp(uint8_t secret_scalar_ser[EDDSA_448_PRIVATE_BYTES])
{
secret_scalar_ser[0] &= -COFACTOR;
secret_scalar_ser[EDDSA_448_PRIVATE_BYTES - 1] = 0;
secret_scalar_ser[EDDSA_448_PRIVATE_BYTES - 2] |= 0x80;
}
static c448_error_t hash_init_with_dom(OSSL_LIB_CTX *ctx, EVP_MD_CTX *hashctx,
uint8_t prehashed,
uint8_t for_prehash,
const uint8_t *context,
size_t context_len,
const char *propq)
{
/* ASCII: "SigEd448", in hex for EBCDIC compatibility */
const char dom_s[] = "\x53\x69\x67\x45\x64\x34\x34\x38";
uint8_t dom[2];
EVP_MD *shake256 = NULL;
if (context_len > UINT8_MAX)
return C448_FAILURE;
dom[0] = (uint8_t)(2 - (prehashed == 0 ? 1 : 0)
- (for_prehash == 0 ? 1 : 0));
dom[1] = (uint8_t)context_len;
shake256 = EVP_MD_fetch(ctx, "SHAKE256", propq);
if (shake256 == NULL)
return C448_FAILURE;
if (!EVP_DigestInit_ex(hashctx, shake256, NULL)
|| !EVP_DigestUpdate(hashctx, dom_s, sizeof(dom_s)-1)
|| !EVP_DigestUpdate(hashctx, dom, sizeof(dom))
|| !EVP_DigestUpdate(hashctx, context, context_len)) {
EVP_MD_free(shake256);
return C448_FAILURE;
}
EVP_MD_free(shake256);
return C448_SUCCESS;
}
/* In this file because it uses the hash */
c448_error_t
ossl_c448_ed448_convert_private_key_to_x448(
OSSL_LIB_CTX *ctx,
uint8_t x[X448_PRIVATE_BYTES],
const uint8_t ed [EDDSA_448_PRIVATE_BYTES],
const char *propq)
{
/* pass the private key through oneshot_hash function */
/* and keep the first X448_PRIVATE_BYTES bytes */
return oneshot_hash(ctx, x, X448_PRIVATE_BYTES, ed,
EDDSA_448_PRIVATE_BYTES, propq);
}
c448_error_t
ossl_c448_ed448_derive_public_key(
OSSL_LIB_CTX *ctx,
uint8_t pubkey[EDDSA_448_PUBLIC_BYTES],
const uint8_t privkey[EDDSA_448_PRIVATE_BYTES],
const char *propq)
{
/* only this much used for keygen */
uint8_t secret_scalar_ser[EDDSA_448_PRIVATE_BYTES];
curve448_scalar_t secret_scalar;
unsigned int c;
curve448_point_t p;
if (!oneshot_hash(ctx, secret_scalar_ser, sizeof(secret_scalar_ser),
privkey,
EDDSA_448_PRIVATE_BYTES,
propq))
return C448_FAILURE;
clamp(secret_scalar_ser);
ossl_curve448_scalar_decode_long(secret_scalar, secret_scalar_ser,
sizeof(secret_scalar_ser));
/*
* Since we are going to mul_by_cofactor during encoding, divide by it
* here. However, the EdDSA base point is not the same as the decaf base
* point if the sigma isogeny is in use: the EdDSA base point is on
* Etwist_d/(1-d) and the decaf base point is on Etwist_d, and when
* converted it effectively picks up a factor of 2 from the isogenies. So
* we might start at 2 instead of 1.
*/
for (c = 1; c < C448_EDDSA_ENCODE_RATIO; c <<= 1)
ossl_curve448_scalar_halve(secret_scalar, secret_scalar);
ossl_curve448_precomputed_scalarmul(p, ossl_curve448_precomputed_base,
secret_scalar);
ossl_curve448_point_mul_by_ratio_and_encode_like_eddsa(pubkey, p);
/* Cleanup */
ossl_curve448_scalar_destroy(secret_scalar);
ossl_curve448_point_destroy(p);
OPENSSL_cleanse(secret_scalar_ser, sizeof(secret_scalar_ser));
return C448_SUCCESS;
}
c448_error_t
ossl_c448_ed448_sign(OSSL_LIB_CTX *ctx,
uint8_t signature[EDDSA_448_SIGNATURE_BYTES],
const uint8_t privkey[EDDSA_448_PRIVATE_BYTES],
const uint8_t pubkey[EDDSA_448_PUBLIC_BYTES],
const uint8_t *message, size_t message_len,
uint8_t prehashed, const uint8_t *context,
size_t context_len, const char *propq)
{
curve448_scalar_t secret_scalar;
EVP_MD_CTX *hashctx = EVP_MD_CTX_new();
c448_error_t ret = C448_FAILURE;
curve448_scalar_t nonce_scalar;
uint8_t nonce_point[EDDSA_448_PUBLIC_BYTES] = { 0 };
unsigned int c;
curve448_scalar_t challenge_scalar;
if (hashctx == NULL)
return C448_FAILURE;
{
/*
* Schedule the secret key, First EDDSA_448_PRIVATE_BYTES is serialized
* secret scalar,next EDDSA_448_PRIVATE_BYTES bytes is the seed.
*/
uint8_t expanded[EDDSA_448_PRIVATE_BYTES * 2];
if (!oneshot_hash(ctx, expanded, sizeof(expanded), privkey,
EDDSA_448_PRIVATE_BYTES, propq))
goto err;
clamp(expanded);
ossl_curve448_scalar_decode_long(secret_scalar, expanded,
EDDSA_448_PRIVATE_BYTES);
/* Hash to create the nonce */
if (!hash_init_with_dom(ctx, hashctx, prehashed, 0, context,
context_len, propq)
|| !EVP_DigestUpdate(hashctx,
expanded + EDDSA_448_PRIVATE_BYTES,
EDDSA_448_PRIVATE_BYTES)
|| !EVP_DigestUpdate(hashctx, message, message_len)) {
OPENSSL_cleanse(expanded, sizeof(expanded));
goto err;
}
OPENSSL_cleanse(expanded, sizeof(expanded));
}
/* Decode the nonce */
{
uint8_t nonce[2 * EDDSA_448_PRIVATE_BYTES];
if (!EVP_DigestFinalXOF(hashctx, nonce, sizeof(nonce)))
goto err;
ossl_curve448_scalar_decode_long(nonce_scalar, nonce, sizeof(nonce));
OPENSSL_cleanse(nonce, sizeof(nonce));
}
{
/* Scalarmul to create the nonce-point */
curve448_scalar_t nonce_scalar_2;
curve448_point_t p;
ossl_curve448_scalar_halve(nonce_scalar_2, nonce_scalar);
for (c = 2; c < C448_EDDSA_ENCODE_RATIO; c <<= 1)
ossl_curve448_scalar_halve(nonce_scalar_2, nonce_scalar_2);
ossl_curve448_precomputed_scalarmul(p, ossl_curve448_precomputed_base,
nonce_scalar_2);
ossl_curve448_point_mul_by_ratio_and_encode_like_eddsa(nonce_point, p);
ossl_curve448_point_destroy(p);
ossl_curve448_scalar_destroy(nonce_scalar_2);
}
{
uint8_t challenge[2 * EDDSA_448_PRIVATE_BYTES];
/* Compute the challenge */
if (!hash_init_with_dom(ctx, hashctx, prehashed, 0, context, context_len,
propq)
|| !EVP_DigestUpdate(hashctx, nonce_point, sizeof(nonce_point))
|| !EVP_DigestUpdate(hashctx, pubkey, EDDSA_448_PUBLIC_BYTES)
|| !EVP_DigestUpdate(hashctx, message, message_len)
|| !EVP_DigestFinalXOF(hashctx, challenge, sizeof(challenge)))
goto err;
ossl_curve448_scalar_decode_long(challenge_scalar, challenge,
sizeof(challenge));
OPENSSL_cleanse(challenge, sizeof(challenge));
}
ossl_curve448_scalar_mul(challenge_scalar, challenge_scalar, secret_scalar);
ossl_curve448_scalar_add(challenge_scalar, challenge_scalar, nonce_scalar);
OPENSSL_cleanse(signature, EDDSA_448_SIGNATURE_BYTES);
memcpy(signature, nonce_point, sizeof(nonce_point));
ossl_curve448_scalar_encode(&signature[EDDSA_448_PUBLIC_BYTES],
challenge_scalar);
ossl_curve448_scalar_destroy(secret_scalar);
ossl_curve448_scalar_destroy(nonce_scalar);
ossl_curve448_scalar_destroy(challenge_scalar);
ret = C448_SUCCESS;
err:
EVP_MD_CTX_free(hashctx);
return ret;
}
c448_error_t
ossl_c448_ed448_sign_prehash(
OSSL_LIB_CTX *ctx,
uint8_t signature[EDDSA_448_SIGNATURE_BYTES],
const uint8_t privkey[EDDSA_448_PRIVATE_BYTES],
const uint8_t pubkey[EDDSA_448_PUBLIC_BYTES],
const uint8_t hash[64], const uint8_t *context,
size_t context_len, const char *propq)
{
return ossl_c448_ed448_sign(ctx, signature, privkey, pubkey, hash, 64, 1,
context, context_len, propq);
}
c448_error_t
ossl_c448_ed448_verify(
OSSL_LIB_CTX *ctx,
const uint8_t signature[EDDSA_448_SIGNATURE_BYTES],
const uint8_t pubkey[EDDSA_448_PUBLIC_BYTES],
const uint8_t *message, size_t message_len,
uint8_t prehashed, const uint8_t *context,
uint8_t context_len, const char *propq)
{
curve448_point_t pk_point, r_point;
c448_error_t error;
curve448_scalar_t challenge_scalar;
curve448_scalar_t response_scalar;
/* Order in little endian format */
static const uint8_t order[] = {
0xF3, 0x44, 0x58, 0xAB, 0x92, 0xC2, 0x78, 0x23, 0x55, 0x8F, 0xC5, 0x8D,
0x72, 0xC2, 0x6C, 0x21, 0x90, 0x36, 0xD6, 0xAE, 0x49, 0xDB, 0x4E, 0xC4,
0xE9, 0x23, 0xCA, 0x7C, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x3F, 0x00
};
int i;
/*
* Check that s (second 57 bytes of the sig) is less than the order. Both
* s and the order are in little-endian format. This can be done in
* variable time, since if this is not the case the signature if publicly
* invalid.
*/
for (i = EDDSA_448_PUBLIC_BYTES - 1; i >= 0; i--) {
if (signature[i + EDDSA_448_PUBLIC_BYTES] > order[i])
return C448_FAILURE;
if (signature[i + EDDSA_448_PUBLIC_BYTES] < order[i])
break;
}
if (i < 0)
return C448_FAILURE;
error =
ossl_curve448_point_decode_like_eddsa_and_mul_by_ratio(pk_point, pubkey);
if (C448_SUCCESS != error)
return error;
error =
ossl_curve448_point_decode_like_eddsa_and_mul_by_ratio(r_point, signature);
if (C448_SUCCESS != error)
return error;
{
/* Compute the challenge */
EVP_MD_CTX *hashctx = EVP_MD_CTX_new();
uint8_t challenge[2 * EDDSA_448_PRIVATE_BYTES];
if (hashctx == NULL
|| !hash_init_with_dom(ctx, hashctx, prehashed, 0, context,
context_len, propq)
|| !EVP_DigestUpdate(hashctx, signature, EDDSA_448_PUBLIC_BYTES)
|| !EVP_DigestUpdate(hashctx, pubkey, EDDSA_448_PUBLIC_BYTES)
|| !EVP_DigestUpdate(hashctx, message, message_len)
|| !EVP_DigestFinalXOF(hashctx, challenge, sizeof(challenge))) {
EVP_MD_CTX_free(hashctx);
return C448_FAILURE;
}
EVP_MD_CTX_free(hashctx);
ossl_curve448_scalar_decode_long(challenge_scalar, challenge,
sizeof(challenge));
OPENSSL_cleanse(challenge, sizeof(challenge));
}
ossl_curve448_scalar_sub(challenge_scalar, ossl_curve448_scalar_zero,
challenge_scalar);
ossl_curve448_scalar_decode_long(response_scalar,
&signature[EDDSA_448_PUBLIC_BYTES],
EDDSA_448_PRIVATE_BYTES);
/* pk_point = -c(x(P)) + (cx + k)G = kG */
ossl_curve448_base_double_scalarmul_non_secret(pk_point,
response_scalar,
pk_point, challenge_scalar);
return c448_succeed_if(ossl_curve448_point_eq(pk_point, r_point));
}
c448_error_t
ossl_c448_ed448_verify_prehash(
OSSL_LIB_CTX *ctx,
const uint8_t signature[EDDSA_448_SIGNATURE_BYTES],
const uint8_t pubkey[EDDSA_448_PUBLIC_BYTES],
const uint8_t hash[64], const uint8_t *context,
uint8_t context_len, const char *propq)
{
return ossl_c448_ed448_verify(ctx, signature, pubkey, hash, 64, 1, context,
context_len, propq);
}
int
ossl_ed448_sign(OSSL_LIB_CTX *ctx, uint8_t *out_sig,
const uint8_t *message, size_t message_len,
const uint8_t public_key[57], const uint8_t private_key[57],
const uint8_t *context, size_t context_len,
const uint8_t phflag, const char *propq)
{
return ossl_c448_ed448_sign(ctx, out_sig, private_key, public_key, message,
message_len, phflag, context, context_len,
propq) == C448_SUCCESS;
}
int
ossl_ed448_verify(OSSL_LIB_CTX *ctx,
const uint8_t *message, size_t message_len,
const uint8_t signature[114], const uint8_t public_key[57],
const uint8_t *context, size_t context_len,
const uint8_t phflag, const char *propq)
{
return ossl_c448_ed448_verify(ctx, signature, public_key, message,
message_len, phflag, context, (uint8_t)context_len,
propq) == C448_SUCCESS;
}
int
ossl_ed448_public_from_private(OSSL_LIB_CTX *ctx, uint8_t out_public_key[57],
const uint8_t private_key[57], const char *propq)
{
return ossl_c448_ed448_derive_public_key(ctx, out_public_key, private_key,
propq) == C448_SUCCESS;
}
|
./openssl/crypto/ec/curve448/curve448_tables.c | /*
* Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2015-2016 Cryptography Research, Inc.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
* Originally written by Mike Hamburg
*/
#include "field.h"
#include "point_448.h"
static const curve448_precomputed_s curve448_precomputed_base_table = {
{
{{
{FIELD_LITERAL(0x00cc3b062366f4ccULL, 0x003d6e34e314aa3cULL,
0x00d51c0a7521774dULL, 0x0094e060eec6ab8bULL,
0x00d21291b4d80082ULL, 0x00befed12b55ef1eULL,
0x00c3dd2df5c94518ULL, 0x00e0a7b112b8d4e6ULL)},
{FIELD_LITERAL(0x0019eb5608d8723aULL, 0x00d1bab52fb3aedbULL,
0x00270a7311ebc90cULL, 0x0037c12b91be7f13ULL,
0x005be16cd8b5c704ULL, 0x003e181acda888e1ULL,
0x00bc1f00fc3fc6d0ULL, 0x00d3839bfa319e20ULL)},
{FIELD_LITERAL(0x003caeb88611909fULL, 0x00ea8b378c4df3d4ULL,
0x00b3295b95a5a19aULL, 0x00a65f97514bdfb5ULL,
0x00b39efba743cab1ULL, 0x0016ba98b862fd2dULL,
0x0001508812ee71d7ULL, 0x000a75740eea114aULL)},
}}, {{
{FIELD_LITERAL(0x00ebcf0eb649f823ULL, 0x00166d332e98ea03ULL,
0x0059ddf64f5cd5f6ULL, 0x0047763123d9471bULL,
0x00a64065c53ef62fULL, 0x00978e44c480153dULL,
0x000b5b2a0265f194ULL, 0x0046a24b9f32965aULL)},
{FIELD_LITERAL(0x00b9eef787034df0ULL, 0x0020bc24de3390cdULL,
0x000022160bae99bbULL, 0x00ae66e886e97946ULL,
0x0048d4bbe02cbb8bULL, 0x0072ba97b34e38d4ULL,
0x00eae7ec8f03e85aULL, 0x005ba92ecf808b2cULL)},
{FIELD_LITERAL(0x00c9cfbbe74258fdULL, 0x00843a979ea9eaa7ULL,
0x000cbb4371cfbe90ULL, 0x0059bac8f7f0a628ULL,
0x004b3dff882ff530ULL, 0x0011869df4d90733ULL,
0x00595aa71f4abfc2ULL, 0x0070e2d38990c2e6ULL)},
}}, {{
{FIELD_LITERAL(0x00de2010c0a01733ULL, 0x00c739a612e24297ULL,
0x00a7212643141d7cULL, 0x00f88444f6b67c11ULL,
0x00484b7b16ec28f2ULL, 0x009c1b8856af9c68ULL,
0x00ff4669591fe9d6ULL, 0x0054974be08a32c8ULL)},
{FIELD_LITERAL(0x0010de3fd682ceedULL, 0x008c07642d83ca4eULL,
0x0013bb064e00a1ccULL, 0x009411ae27870e11ULL,
0x00ea8e5b4d531223ULL, 0x0032fe7d2aaece2eULL,
0x00d989e243e7bb41ULL, 0x000fe79a508e9b8bULL)},
{FIELD_LITERAL(0x005e0426b9bfc5b1ULL, 0x0041a5b1d29ee4faULL,
0x0015b0def7774391ULL, 0x00bc164f1f51af01ULL,
0x00d543b0942797b9ULL, 0x003c129b6398099cULL,
0x002b114c6e5adf18ULL, 0x00b4e630e4018a7bULL)},
}}, {{
{FIELD_LITERAL(0x00d490afc95f8420ULL, 0x00b096bf50c1d9b9ULL,
0x00799fd707679866ULL, 0x007c74d9334afbeaULL,
0x00efaa8be80ff4edULL, 0x0075c4943bb81694ULL,
0x00c21c2fca161f36ULL, 0x00e77035d492bfeeULL)},
{FIELD_LITERAL(0x006658a190dd6661ULL, 0x00e0e9bab38609a6ULL,
0x0028895c802237edULL, 0x006a0229c494f587ULL,
0x002dcde96c9916b7ULL, 0x00d158822de16218ULL,
0x00173b917a06856fULL, 0x00ca78a79ae07326ULL)},
{FIELD_LITERAL(0x00e35bfc79caced4ULL, 0x0087238a3e1fe3bbULL,
0x00bcbf0ff4ceff5bULL, 0x00a19c1c94099b91ULL,
0x0071e102b49db976ULL, 0x0059e3d004eada1eULL,
0x008da78afa58a47eULL, 0x00579c8ebf269187ULL)},
}}, {{
{FIELD_LITERAL(0x00a16c2905eee75fULL, 0x009d4bcaea2c7e1dULL,
0x00d3bd79bfad19dfULL, 0x0050da745193342cULL,
0x006abdb8f6b29ab1ULL, 0x00a24fe0a4fef7efULL,
0x0063730da1057dfbULL, 0x00a08c312c8eb108ULL)},
{FIELD_LITERAL(0x00b583be005375beULL, 0x00a40c8f8a4e3df4ULL,
0x003fac4a8f5bdbf7ULL, 0x00d4481d872cd718ULL,
0x004dc8749cdbaefeULL, 0x00cce740d5e5c975ULL,
0x000b1c1f4241fd21ULL, 0x00a76de1b4e1cd07ULL)},
{FIELD_LITERAL(0x007a076500d30b62ULL, 0x000a6e117b7f090fULL,
0x00c8712ae7eebd9aULL, 0x000fbd6c1d5f6ff7ULL,
0x003a7977246ebf11ULL, 0x00166ed969c6600eULL,
0x00aa42e469c98becULL, 0x00dc58f307cf0666ULL)},
}}, {{
{FIELD_LITERAL(0x004b491f65a9a28bULL, 0x006a10309e8a55b7ULL,
0x00b67210185187efULL, 0x00cf6497b12d9b8fULL,
0x0085778c56e2b1baULL, 0x0015b4c07a814d85ULL,
0x00686479e62da561ULL, 0x008de5d88f114916ULL)},
{FIELD_LITERAL(0x00e37c88d6bba7b1ULL, 0x003e4577e1b8d433ULL,
0x0050d8ea5f510ec0ULL, 0x0042fc9f2da9ef59ULL,
0x003bd074c1141420ULL, 0x00561b8b7b68774eULL,
0x00232e5e5d1013a3ULL, 0x006b7f2cb3d7e73fULL)},
{FIELD_LITERAL(0x004bdd0f0b41e6a0ULL, 0x001773057c405d24ULL,
0x006029f99915bd97ULL, 0x006a5ba70a17fe2fULL,
0x0046111977df7e08ULL, 0x004d8124c89fb6b7ULL,
0x00580983b2bb2724ULL, 0x00207bf330d6f3feULL)},
}}, {{
{FIELD_LITERAL(0x007efdc93972a48bULL, 0x002f5e50e78d5feeULL,
0x0080dc11d61c7fe5ULL, 0x0065aa598707245bULL,
0x009abba2300641beULL, 0x000c68787656543aULL,
0x00ffe0fef2dc0a17ULL, 0x00007ffbd6cb4f3aULL)},
{FIELD_LITERAL(0x0036012f2b836efcULL, 0x00458c126d6b5fbcULL,
0x00a34436d719ad1eULL, 0x0097be6167117deaULL,
0x0009c219c879cff3ULL, 0x0065564493e60755ULL,
0x00993ac94a8cdec0ULL, 0x002d4885a4d0dbafULL)},
{FIELD_LITERAL(0x00598b60b4c068baULL, 0x00c547a0be7f1afdULL,
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0x00883af2cfaad673ULL, 0x00601f98583d6c9aULL,
0x00b435f5adc79655ULL, 0x00ad87b71c04bff2ULL)},
{FIELD_LITERAL(0x007860d99db787cfULL, 0x00fda8983018f4a8ULL,
0x008c8866bac4743cULL, 0x00ef471f84c82a3fULL,
0x00abea5976d3b8e7ULL, 0x00714882896cd015ULL,
0x00b49fae584ddac5ULL, 0x008e33a1a0b69c81ULL)},
{FIELD_LITERAL(0x007b6ee2c9e8a9ecULL, 0x002455dbbd89d622ULL,
0x006490cf4eaab038ULL, 0x00d925f6c3081561ULL,
0x00153b3047de7382ULL, 0x003b421f8bdceb6fULL,
0x00761a4a5049da78ULL, 0x00980348c5202433ULL)},
}}, {{
{FIELD_LITERAL(0x007f8a43da97dd5cULL, 0x00058539c800fc7bULL,
0x0040f3cf5a28414aULL, 0x00d68dd0d95283d6ULL,
0x004adce9da90146eULL, 0x00befa41c7d4f908ULL,
0x007603bc2e3c3060ULL, 0x00bdf360ab3545dbULL)},
{FIELD_LITERAL(0x00eebfd4e2312cc3ULL, 0x00474b2564e4fc8cULL,
0x003303ef14b1da9bULL, 0x003c93e0e66beb1dULL,
0x0013619b0566925aULL, 0x008817c24d901bf3ULL,
0x00b62bd8898d218bULL, 0x0075a7716f1e88a2ULL)},
{FIELD_LITERAL(0x0009218da1e6890fULL, 0x0026907f5fd02575ULL,
0x004dabed5f19d605ULL, 0x003abf181870249dULL,
0x00b52fd048cc92c4ULL, 0x00b6dd51e415a5c5ULL,
0x00d9eb82bd2b4014ULL, 0x002c865a43b46b43ULL)},
}}, {{
{FIELD_LITERAL(0x0070047189452f4cULL, 0x00f7ad12e1ce78d5ULL,
0x00af1ba51ec44a8bULL, 0x005f39f63e667cd6ULL,
0x00058eac4648425eULL, 0x00d7fdab42bea03bULL,
0x0028576a5688de15ULL, 0x00af973209e77c10ULL)},
{FIELD_LITERAL(0x00c338b915d8fef0ULL, 0x00a893292045c39aULL,
0x0028ab4f2eba6887ULL, 0x0060743cb519fd61ULL,
0x0006213964093ac0ULL, 0x007c0b7a43f6266dULL,
0x008e3557c4fa5bdaULL, 0x002da976de7b8d9dULL)},
{FIELD_LITERAL(0x0048729f8a8b6dcdULL, 0x00fe23b85cc4d323ULL,
0x00e7384d16e4db0eULL, 0x004a423970678942ULL,
0x00ec0b763345d4baULL, 0x00c477b9f99ed721ULL,
0x00c29dad3777b230ULL, 0x001c517b466f7df6ULL)},
}}, {{
{FIELD_LITERAL(0x006366c380f7b574ULL, 0x001c7d1f09ff0438ULL,
0x003e20a7301f5b22ULL, 0x00d3efb1916d28f6ULL,
0x0049f4f81060ce83ULL, 0x00c69d91ea43ced1ULL,
0x002b6f3e5cd269edULL, 0x005b0fb22ce9ec65ULL)},
{FIELD_LITERAL(0x00aa2261022d883fULL, 0x00ebcca4548010acULL,
0x002528512e28a437ULL, 0x0070ca7676b66082ULL,
0x0084bda170f7c6d3ULL, 0x00581b4747c9b8bbULL,
0x005c96a01061c7e2ULL, 0x00fb7c4a362b5273ULL)},
{FIELD_LITERAL(0x00c30020eb512d02ULL, 0x0060f288283a4d26ULL,
0x00b7ed13becde260ULL, 0x0075ebb74220f6e9ULL,
0x00701079fcfe8a1fULL, 0x001c28fcdff58938ULL,
0x002e4544b8f4df6bULL, 0x0060c5bc4f1a7d73ULL)},
}}, {{
{FIELD_LITERAL(0x00ae307cf069f701ULL, 0x005859f222dd618bULL,
0x00212d6c46ec0b0dULL, 0x00a0fe4642afb62dULL,
0x00420d8e4a0a8903ULL, 0x00a80ff639bdf7b0ULL,
0x0019bee1490b5d8eULL, 0x007439e4b9c27a86ULL)},
{FIELD_LITERAL(0x00a94700032a093fULL, 0x0076e96c225216e7ULL,
0x00a63a4316e45f91ULL, 0x007d8bbb4645d3b2ULL,
0x00340a6ff22793ebULL, 0x006f935d4572aeb7ULL,
0x00b1fb69f00afa28ULL, 0x009e8f3423161ed3ULL)},
{FIELD_LITERAL(0x009ef49c6b5ced17ULL, 0x00a555e6269e9f0aULL,
0x007e6f1d79ec73b5ULL, 0x009ac78695a32ac4ULL,
0x0001d77fbbcd5682ULL, 0x008cea1fee0aaeedULL,
0x00f42bea82a53462ULL, 0x002e46ab96cafcc9ULL)},
}}, {{
{FIELD_LITERAL(0x0051cfcc5885377aULL, 0x00dce566cb1803caULL,
0x00430c7643f2c7d4ULL, 0x00dce1a1337bdcc0ULL,
0x0010d5bd7283c128ULL, 0x003b1b547f9b46feULL,
0x000f245e37e770abULL, 0x007b72511f022b37ULL)},
{FIELD_LITERAL(0x0060db815bc4786cULL, 0x006fab25beedc434ULL,
0x00c610d06084797cULL, 0x000c48f08537bec0ULL,
0x0031aba51c5b93daULL, 0x007968fa6e01f347ULL,
0x0030070da52840c6ULL, 0x00c043c225a4837fULL)},
{FIELD_LITERAL(0x001bcfd00649ee93ULL, 0x006dceb47e2a0fd5ULL,
0x00f2cebda0cf8fd0ULL, 0x00b6b9d9d1fbdec3ULL,
0x00815262e6490611ULL, 0x00ef7f5ce3176760ULL,
0x00e49cd0c998d58bULL, 0x005fc6cc269ba57cULL)},
}}, {{
{FIELD_LITERAL(0x008940211aa0d633ULL, 0x00addae28136571dULL,
0x00d68fdbba20d673ULL, 0x003bc6129bc9e21aULL,
0x000346cf184ebe9aULL, 0x0068774d741ebc7fULL,
0x0019d5e9e6966557ULL, 0x0003cbd7f981b651ULL)},
{FIELD_LITERAL(0x004a2902926f8d3fULL, 0x00ad79b42637ab75ULL,
0x0088f60b90f2d4e8ULL, 0x0030f54ef0e398c4ULL,
0x00021dc9bf99681eULL, 0x007ebf66fde74ee3ULL,
0x004ade654386e9a4ULL, 0x00e7485066be4c27ULL)},
{FIELD_LITERAL(0x00445f1263983be0ULL, 0x004cf371dda45e6aULL,
0x00744a89d5a310e7ULL, 0x001f20ce4f904833ULL,
0x00e746edebe66e29ULL, 0x000912ab1f6c153dULL,
0x00f61d77d9b2444cULL, 0x0001499cd6647610ULL)},
}}
}
};
const struct curve448_precomputed_s *ossl_curve448_precomputed_base
= &curve448_precomputed_base_table;
static const niels_t curve448_wnaf_base_table[32] = {
{{
{FIELD_LITERAL(0x00303cda6feea532ULL, 0x00860f1d5a3850e4ULL,
0x00226b9fa4728ccdULL, 0x00e822938a0a0c0cULL,
0x00263a61c9ea9216ULL, 0x001204029321b828ULL,
0x006a468360983c65ULL, 0x0002846f0a782143ULL)},
{FIELD_LITERAL(0x00303cda6feea532ULL, 0x00860f1d5a3850e4ULL,
0x00226b9fa4728ccdULL, 0x006822938a0a0c0cULL,
0x00263a61c9ea9215ULL, 0x001204029321b828ULL,
0x006a468360983c65ULL, 0x0082846f0a782143ULL)},
{FIELD_LITERAL(0x00ef8e22b275198dULL, 0x00b0eb141a0b0e8bULL,
0x001f6789da3cb38cULL, 0x006d2ff8ed39073eULL,
0x00610bdb69a167f3ULL, 0x00571f306c9689b4ULL,
0x00f557e6f84b2df8ULL, 0x002affd38b2c86dbULL)},
}}, {{
{FIELD_LITERAL(0x00cea0fc8d2e88b5ULL, 0x00821612d69f1862ULL,
0x0074c283b3e67522ULL, 0x005a195ba05a876dULL,
0x000cddfe557feea4ULL, 0x008046c795bcc5e5ULL,
0x00540969f4d6e119ULL, 0x00d27f96d6b143d5ULL)},
{FIELD_LITERAL(0x000c3b1019d474e8ULL, 0x00e19533e4952284ULL,
0x00cc9810ba7c920aULL, 0x00f103d2785945acULL,
0x00bfa5696cc69b34ULL, 0x00a8d3d51e9ca839ULL,
0x005623cb459586b9ULL, 0x00eae7ce1cd52e9eULL)},
{FIELD_LITERAL(0x0005a178751dd7d8ULL, 0x002cc3844c69c42fULL,
0x00acbfe5efe10539ULL, 0x009c20f43431a65aULL,
0x008435d96374a7b3ULL, 0x009ee57566877bd3ULL,
0x0044691725ed4757ULL, 0x001e87bb2fe2c6b2ULL)},
}}, {{
{FIELD_LITERAL(0x000cedc4debf7a04ULL, 0x002ffa45000470acULL,
0x002e9f9678201915ULL, 0x0017da1208c4fe72ULL,
0x007d558cc7d656cbULL, 0x0037a827287cf289ULL,
0x00142472d3441819ULL, 0x009c21f166cf8dd1ULL)},
{FIELD_LITERAL(0x003ef83af164b2f2ULL, 0x000949a5a0525d0dULL,
0x00f4498186cac051ULL, 0x00e77ac09ef126d2ULL,
0x0073ae0b2c9296e9ULL, 0x001c163f6922e3edULL,
0x0062946159321beaULL, 0x00cfb79b22990b39ULL)},
{FIELD_LITERAL(0x00b001431ca9e654ULL, 0x002d7e5eabcc9a3aULL,
0x0052e8114c2f6747ULL, 0x0079ac4f94487f92ULL,
0x00bffd919b5d749cULL, 0x00261f92ad15e620ULL,
0x00718397b7a97895ULL, 0x00c1443e6ebbc0c4ULL)},
}}, {{
{FIELD_LITERAL(0x00eacd90c1e0a049ULL, 0x008977935b149fbeULL,
0x0004cb9ba11c93dcULL, 0x009fbd5b3470844dULL,
0x004bc18c9bfc22cfULL, 0x0057679a991839f3ULL,
0x00ef15b76fb4092eULL, 0x0074a5173a225041ULL)},
{FIELD_LITERAL(0x003f5f9d7ec4777bULL, 0x00ab2e733c919c94ULL,
0x001bb6c035245ae5ULL, 0x00a325a49a883630ULL,
0x0033e9a9ea3cea2fULL, 0x00e442a1eaa0e844ULL,
0x00b2116d5b0e71b8ULL, 0x00c16abed6d64047ULL)},
{FIELD_LITERAL(0x00c560b5ed051165ULL, 0x001945adc5d65094ULL,
0x00e221865710f910ULL, 0x00cc12bc9e9b8cebULL,
0x004faa9518914e35ULL, 0x0017476d89d42f6dULL,
0x00b8f637c8fa1c8bULL, 0x0088c7d2790864b8ULL)},
}}, {{
{FIELD_LITERAL(0x00ef7eafc1c69be6ULL, 0x0085d3855778fbeaULL,
0x002c8d5b450cb6f5ULL, 0x004e77de5e1e7fecULL,
0x0047c057893abdedULL, 0x001b430b85d51e16ULL,
0x00965c7b45640c3cULL, 0x00487b2bb1162b97ULL)},
{FIELD_LITERAL(0x0099c73a311beec2ULL, 0x00a3eff38d8912adULL,
0x002efa9d1d7e8972ULL, 0x00f717ae1e14d126ULL,
0x002833f795850c8bULL, 0x0066c12ad71486bdULL,
0x00ae9889da4820ebULL, 0x00d6044309555c08ULL)},
{FIELD_LITERAL(0x004b1c5283d15e41ULL, 0x00669d8ea308ff75ULL,
0x0004390233f762a1ULL, 0x00e1d67b83cb6cecULL,
0x003eebaa964c78b1ULL, 0x006b0aff965eb664ULL,
0x00b313d4470bdc37ULL, 0x008814ffcb3cb9d8ULL)},
}}, {{
{FIELD_LITERAL(0x009724b8ce68db70ULL, 0x007678b5ed006f3dULL,
0x00bdf4b89c0abd73ULL, 0x00299748e04c7c6dULL,
0x00ddd86492c3c977ULL, 0x00c5a7febfa30a99ULL,
0x00ed84715b4b02bbULL, 0x00319568adf70486ULL)},
{FIELD_LITERAL(0x0070ff2d864de5bbULL, 0x005a37eeb637ee95ULL,
0x0033741c258de160ULL, 0x00e6ca5cb1988f46ULL,
0x001ceabd92a24661ULL, 0x0030957bd500fe40ULL,
0x001c3362afe912c5ULL, 0x005187889f678bd2ULL)},
{FIELD_LITERAL(0x0086835fc62bbdc7ULL, 0x009c3516ca4910a1ULL,
0x00956c71f8d00783ULL, 0x0095c78fcf63235fULL,
0x00fc7ff6ba05c222ULL, 0x00cdd8b3f8d74a52ULL,
0x00ac5ae16de8256eULL, 0x00e9d4be8ed48624ULL)},
}}, {{
{FIELD_LITERAL(0x00c0ce11405df2d8ULL, 0x004e3f37b293d7b6ULL,
0x002410172e1ac6dbULL, 0x00b8dbff4bf8143dULL,
0x003a7b409d56eb66ULL, 0x003e0f6a0dfef9afULL,
0x0081c4e4d3645be1ULL, 0x00ce76076b127623ULL)},
{FIELD_LITERAL(0x00f6ee0f98974239ULL, 0x0042d89af07d3a4fULL,
0x00846b7fe84346b5ULL, 0x006a21fc6a8d39a1ULL,
0x00ac8bc2541ff2d9ULL, 0x006d4e2a77732732ULL,
0x009a39b694cc3f2fULL, 0x0085c0aa2a404c8fULL)},
{FIELD_LITERAL(0x00b261101a218548ULL, 0x00c1cae96424277bULL,
0x00869da0a77dd268ULL, 0x00bc0b09f8ec83eaULL,
0x00d61027f8e82ba9ULL, 0x00aa4c85999dce67ULL,
0x00eac3132b9f3fe1ULL, 0x00fb9b0cf1c695d2ULL)},
}}, {{
{FIELD_LITERAL(0x0043079295512f0dULL, 0x0046a009861758e0ULL,
0x003ee2842a807378ULL, 0x0034cc9d1298e4faULL,
0x009744eb4d31b3eeULL, 0x00afacec96650cd0ULL,
0x00ac891b313761aeULL, 0x00e864d6d26e708aULL)},
{FIELD_LITERAL(0x00a84d7c8a23b491ULL, 0x0088e19aa868b27fULL,
0x0005986d43e78ce9ULL, 0x00f28012f0606d28ULL,
0x0017ded7e10249b3ULL, 0x005ed4084b23af9bULL,
0x00b9b0a940564472ULL, 0x00ad9056cceeb1f4ULL)},
{FIELD_LITERAL(0x00db91b357fe755eULL, 0x00a1aa544b15359cULL,
0x00af4931a0195574ULL, 0x007686124fe11aefULL,
0x00d1ead3c7b9ef7eULL, 0x00aaf5fc580f8c15ULL,
0x00e727be147ee1ecULL, 0x003c61c1e1577b86ULL)},
}}, {{
{FIELD_LITERAL(0x009d3fca983220cfULL, 0x00cd11acbc853dc4ULL,
0x0017590409d27f1dULL, 0x00d2176698082802ULL,
0x00fa01251b2838c8ULL, 0x00dd297a0d9b51c6ULL,
0x00d76c92c045820aULL, 0x00534bc7c46c9033ULL)},
{FIELD_LITERAL(0x0080ed9bc9b07338ULL, 0x00fceac7745d2652ULL,
0x008a9d55f5f2cc69ULL, 0x0096ce72df301ac5ULL,
0x00f53232e7974d87ULL, 0x0071728c7ae73947ULL,
0x0090507602570778ULL, 0x00cb81cfd883b1b2ULL)},
{FIELD_LITERAL(0x005011aadea373daULL, 0x003a8578ec896034ULL,
0x00f20a6535fa6d71ULL, 0x005152d31e5a87cfULL,
0x002bac1c8e68ca31ULL, 0x00b0e323db4c1381ULL,
0x00f1d596b7d5ae25ULL, 0x00eae458097cb4e0ULL)},
}}, {{
{FIELD_LITERAL(0x00920ac80f9b0d21ULL, 0x00f80f7f73401246ULL,
0x0086d37849b557d6ULL, 0x0002bd4b317b752eULL,
0x00b26463993a42bbULL, 0x002070422a73b129ULL,
0x00341acaa0380cb3ULL, 0x00541914dd66a1b2ULL)},
{FIELD_LITERAL(0x00c1513cd66abe8cULL, 0x000139e01118944dULL,
0x0064abbcb8080bbbULL, 0x00b3b08202473142ULL,
0x00c629ef25da2403ULL, 0x00f0aec3310d9b7fULL,
0x0050b2227472d8cdULL, 0x00f6c8a922d41fb4ULL)},
{FIELD_LITERAL(0x001075ccf26b7b1fULL, 0x00bb6bb213170433ULL,
0x00e9491ad262da79ULL, 0x009ef4f48d2d384cULL,
0x008992770766f09dULL, 0x001584396b6b1101ULL,
0x00af3f8676c9feefULL, 0x0024603c40269118ULL)},
}}, {{
{FIELD_LITERAL(0x009dd7b31319527cULL, 0x001e7ac948d873a9ULL,
0x00fa54b46ef9673aULL, 0x0066efb8d5b02fe6ULL,
0x00754b1d3928aeaeULL, 0x0004262ac72a6f6bULL,
0x0079b7d49a6eb026ULL, 0x003126a753540102ULL)},
{FIELD_LITERAL(0x009666e24f693947ULL, 0x00f714311269d45fULL,
0x0010ffac1d0c851cULL, 0x0066e80c37363497ULL,
0x00f1f4ad010c60b0ULL, 0x0015c87408470ff7ULL,
0x00651d5e9c7766a4ULL, 0x008138819d7116deULL)},
{FIELD_LITERAL(0x003934b11c57253bULL, 0x00ef308edf21f46eULL,
0x00e54e99c7a16198ULL, 0x0080d57135764e63ULL,
0x00751c27b946bc24ULL, 0x00dd389ce4e9e129ULL,
0x00a1a2bfd1cd84dcULL, 0x002fae73e5149b32ULL)},
}}, {{
{FIELD_LITERAL(0x00911657dffb4cddULL, 0x00c100b7cc553d06ULL,
0x00449d075ec467ccULL, 0x007062100bc64e70ULL,
0x0043cf86f7bd21e7ULL, 0x00f401dc4b797deaULL,
0x005224afb2f62e65ULL, 0x00d1ede3fb5a42beULL)},
{FIELD_LITERAL(0x00f2ba36a41aa144ULL, 0x00a0c22d946ee18fULL,
0x008aae8ef9a14f99ULL, 0x00eef4d79b19bb36ULL,
0x008e75ce3d27b1fcULL, 0x00a65daa03b29a27ULL,
0x00d9cc83684eb145ULL, 0x009e1ed80cc2ed74ULL)},
{FIELD_LITERAL(0x00bed953d1997988ULL, 0x00b93ed175a24128ULL,
0x00871c5963fb6365ULL, 0x00ca2df20014a787ULL,
0x00f5d9c1d0b34322ULL, 0x00f6f5942818db0aULL,
0x004cc091f49c9906ULL, 0x00e8a188a60bff9fULL)},
}}, {{
{FIELD_LITERAL(0x0032c7762032fae8ULL, 0x00e4087232e0bc21ULL,
0x00f767344b6e8d85ULL, 0x00bbf369b76c2aa2ULL,
0x008a1f46c6e1570cULL, 0x001368cd9780369fULL,
0x007359a39d079430ULL, 0x0003646512921434ULL)},
{FIELD_LITERAL(0x007c4b47ca7c73e7ULL, 0x005396221039734bULL,
0x008b64ddf0e45d7eULL, 0x00bfad5af285e6c2ULL,
0x008ec711c5b1a1a8ULL, 0x00cf663301237f98ULL,
0x00917ee3f1655126ULL, 0x004152f337efedd8ULL)},
{FIELD_LITERAL(0x0007c7edc9305daaULL, 0x000a6664f273701cULL,
0x00f6e78795e200b1ULL, 0x005d05b9ecd2473eULL,
0x0014f5f17c865786ULL, 0x00c7fd2d166fa995ULL,
0x004939a2d8eb80e0ULL, 0x002244ba0942c199ULL)},
}}, {{
{FIELD_LITERAL(0x00321e767f0262cfULL, 0x002e57d776caf68eULL,
0x00bf2c94814f0437ULL, 0x00c339196acd622fULL,
0x001db4cce71e2770ULL, 0x001ded5ddba6eee2ULL,
0x0078608ab1554c8dULL, 0x00067fe0ab76365bULL)},
{FIELD_LITERAL(0x00f09758e11e3985ULL, 0x00169efdbd64fad3ULL,
0x00e8889b7d6dacd6ULL, 0x0035cdd58ea88209ULL,
0x00bcda47586d7f49ULL, 0x003cdddcb2879088ULL,
0x0016da70187e954bULL, 0x009556ea2e92aacdULL)},
{FIELD_LITERAL(0x008cab16bd1ff897ULL, 0x00b389972cdf753fULL,
0x00ea8ed1e46dfdc0ULL, 0x004fe7ef94c589f4ULL,
0x002b8ae9b805ecf3ULL, 0x0025c08d892874a5ULL,
0x0023938e98d44c4cULL, 0x00f759134cabf69cULL)},
}}, {{
{FIELD_LITERAL(0x006c2a84678e4b3bULL, 0x007a194aacd1868fULL,
0x00ed0225af424761ULL, 0x00da0a6f293c64b8ULL,
0x001062ac5c6a7a18ULL, 0x0030f5775a8aeef4ULL,
0x0002acaad76b7af0ULL, 0x00410b8fd63a579fULL)},
{FIELD_LITERAL(0x001ec59db3d9590eULL, 0x001e9e3f1c3f182dULL,
0x0045a9c3ec2cab14ULL, 0x0008198572aeb673ULL,
0x00773b74068bd167ULL, 0x0012535eaa395434ULL,
0x0044dba9e3bbb74aULL, 0x002fba4d3c74bd0eULL)},
{FIELD_LITERAL(0x0042bf08fe66922cULL, 0x003318b8fbb49e8cULL,
0x00d75946004aa14cULL, 0x00f601586b42bf1cULL,
0x00c74cf1d912fe66ULL, 0x00abcb36974b30adULL,
0x007eb78720c9d2b8ULL, 0x009f54ab7bd4df85ULL)},
}}, {{
{FIELD_LITERAL(0x00db9fc948f73826ULL, 0x00fa8b3746ed8ee9ULL,
0x00132cb65aafbeb2ULL, 0x00c36ff3fe7925b8ULL,
0x00837daed353d2feULL, 0x00ec661be0667cf4ULL,
0x005beb8ed2e90204ULL, 0x00d77dd69e564967ULL)},
{FIELD_LITERAL(0x0042e6268b861751ULL, 0x0008dd0469500c16ULL,
0x00b51b57c338a3fdULL, 0x00cc4497d85cff6bULL,
0x002f13d6b57c34a4ULL, 0x0083652eaf301105ULL,
0x00cc344294cc93a8ULL, 0x0060f4d02810e270ULL)},
{FIELD_LITERAL(0x00a8954363cd518bULL, 0x00ad171124bccb7bULL,
0x0065f46a4adaae00ULL, 0x001b1a5b2a96e500ULL,
0x0043fe24f8233285ULL, 0x0066996d8ae1f2c3ULL,
0x00c530f3264169f9ULL, 0x00c0f92d07cf6a57ULL)},
}}, {{
{FIELD_LITERAL(0x0036a55c6815d943ULL, 0x008c8d1def993db3ULL,
0x002e0e1e8ff7318fULL, 0x00d883a4b92db00aULL,
0x002f5e781ae33906ULL, 0x001a72adb235c06dULL,
0x00f2e59e736e9caaULL, 0x001a4b58e3031914ULL)},
{FIELD_LITERAL(0x00d73bfae5e00844ULL, 0x00bf459766fb5f52ULL,
0x0061b4f5a5313cdeULL, 0x004392d4c3b95514ULL,
0x000d3551b1077523ULL, 0x0000998840ee5d71ULL,
0x006de6e340448b7bULL, 0x00251aa504875d6eULL)},
{FIELD_LITERAL(0x003bf343427ac342ULL, 0x00adc0a78642b8c5ULL,
0x0003b893175a8314ULL, 0x0061a34ade5703bcULL,
0x00ea3ea8bb71d632ULL, 0x00be0df9a1f198c2ULL,
0x0046dd8e7c1635fbULL, 0x00f1523fdd25d5e5ULL)},
}}, {{
{FIELD_LITERAL(0x00633f63fc9dd406ULL, 0x00e713ff80e04a43ULL,
0x0060c6e970f2d621ULL, 0x00a57cd7f0df1891ULL,
0x00f2406a550650bbULL, 0x00b064290efdc684ULL,
0x001eab0144d17916ULL, 0x00cd15f863c293abULL)},
{FIELD_LITERAL(0x0029cec55273f70dULL, 0x007044ee275c6340ULL,
0x0040f637a93015e2ULL, 0x00338bb78db5aae9ULL,
0x001491b2a6132147ULL, 0x00a125d6cfe6bde3ULL,
0x005f7ac561ba8669ULL, 0x001d5eaea3fbaacfULL)},
{FIELD_LITERAL(0x00054e9635e3be31ULL, 0x000e43f31e2872beULL,
0x00d05b1c9e339841ULL, 0x006fac50bd81fd98ULL,
0x00cdc7852eaebb09ULL, 0x004ff519b061991bULL,
0x009099e8107d4c85ULL, 0x00273e24c36a4a61ULL)},
}}, {{
{FIELD_LITERAL(0x00070b4441ef2c46ULL, 0x00efa5b02801a109ULL,
0x00bf0b8c3ee64adfULL, 0x008a67e0b3452e98ULL,
0x001916b1f2fa7a74ULL, 0x00d781a78ff6cdc3ULL,
0x008682ce57e5c919ULL, 0x00cc1109dd210da3ULL)},
{FIELD_LITERAL(0x00cae8aaff388663ULL, 0x005e983a35dda1c7ULL,
0x007ab1030d8e37f4ULL, 0x00e48940f5d032feULL,
0x006a36f9ef30b331ULL, 0x009be6f03958c757ULL,
0x0086231ceba91400ULL, 0x008bd0f7b823e7aaULL)},
{FIELD_LITERAL(0x00cf881ebef5a45aULL, 0x004ebea78e7c6f2cULL,
0x0090da9209cf26a0ULL, 0x00de2b2e4c775b84ULL,
0x0071d6031c3c15aeULL, 0x00d9e927ef177d70ULL,
0x00894ee8c23896fdULL, 0x00e3b3b401e41aadULL)},
}}, {{
{FIELD_LITERAL(0x00204fef26864170ULL, 0x00819269c5dee0f8ULL,
0x00bfb4713ec97966ULL, 0x0026339a6f34df78ULL,
0x001f26e64c761dc2ULL, 0x00effe3af313cb60ULL,
0x00e17b70138f601bULL, 0x00f16e1ccd9ede5eULL)},
{FIELD_LITERAL(0x005d9a8353fdb2dbULL, 0x0055cc2048c698f0ULL,
0x00f6c4ac89657218ULL, 0x00525034d73faeb2ULL,
0x00435776fbda3c7dULL, 0x0070ea5312323cbcULL,
0x007a105d44d069fbULL, 0x006dbc8d6dc786aaULL)},
{FIELD_LITERAL(0x0017cff19cd394ecULL, 0x00fef7b810922587ULL,
0x00e6483970dff548ULL, 0x00ddf36ad6874264ULL,
0x00e61778523fcce2ULL, 0x0093a66c0c93b24aULL,
0x00fd367114db7f86ULL, 0x007652d7ddce26ddULL)},
}}, {{
{FIELD_LITERAL(0x00d92ced7ba12843ULL, 0x00aea9c7771e86e7ULL,
0x0046639693354f7bULL, 0x00a628dbb6a80c47ULL,
0x003a0b0507372953ULL, 0x00421113ab45c0d9ULL,
0x00e545f08362ab7aULL, 0x0028ce087b4d6d96ULL)},
{FIELD_LITERAL(0x00a67ee7cf9f99ebULL, 0x005713b275f2ff68ULL,
0x00f1d536a841513dULL, 0x00823b59b024712eULL,
0x009c46b9d0d38cecULL, 0x00cdb1595aa2d7d4ULL,
0x008375b3423d9af8ULL, 0x000ab0b516d978f7ULL)},
{FIELD_LITERAL(0x00428dcb3c510b0fULL, 0x00585607ea24bb4eULL,
0x003736bf1603687aULL, 0x00c47e568c4fe3c7ULL,
0x003cd00282848605ULL, 0x0043a487c3b91939ULL,
0x004ffc04e1095a06ULL, 0x00a4c989a3d4b918ULL)},
}}, {{
{FIELD_LITERAL(0x00a8778d0e429f7aULL, 0x004c02b059105a68ULL,
0x0016653b609da3ffULL, 0x00d5107bd1a12d27ULL,
0x00b4708f9a771cabULL, 0x00bb63b662033f69ULL,
0x0072f322240e7215ULL, 0x0019445b59c69222ULL)},
{FIELD_LITERAL(0x00cf4f6069a658e6ULL, 0x0053ca52859436a6ULL,
0x0064b994d7e3e117ULL, 0x00cb469b9a07f534ULL,
0x00cfb68f399e9d47ULL, 0x00f0dcb8dac1c6e7ULL,
0x00f2ab67f538b3a5ULL, 0x0055544f178ab975ULL)},
{FIELD_LITERAL(0x0099b7a2685d538cULL, 0x00e2f1897b7c0018ULL,
0x003adac8ce48dae3ULL, 0x00089276d5c50c0cULL,
0x00172fca07ad6717ULL, 0x00cb1a72f54069e5ULL,
0x004ee42f133545b3ULL, 0x00785f8651362f16ULL)},
}}, {{
{FIELD_LITERAL(0x0049cbac38509e11ULL, 0x0015234505d42cdfULL,
0x00794fb0b5840f1cULL, 0x00496437344045a5ULL,
0x0031b6d944e4f9b0ULL, 0x00b207318ac1f5d8ULL,
0x0000c840da7f5c5dULL, 0x00526f373a5c8814ULL)},
{FIELD_LITERAL(0x002c7b7742d1dfd9ULL, 0x002cabeb18623c01ULL,
0x00055f5e3e044446ULL, 0x006c20f3b4ef54baULL,
0x00c600141ec6b35fULL, 0x00354f437f1a32a3ULL,
0x00bac4624a3520f9ULL, 0x00c483f734a90691ULL)},
{FIELD_LITERAL(0x0053a737d422918dULL, 0x00f7fca1d8758625ULL,
0x00c360336dadb04cULL, 0x00f38e3d9158a1b8ULL,
0x0069ce3b418e84c6ULL, 0x005d1697eca16eadULL,
0x00f8bd6a35ece13dULL, 0x007885dfc2b5afeaULL)},
}}, {{
{FIELD_LITERAL(0x00c3617ae260776cULL, 0x00b20dc3e96922d7ULL,
0x00a1a7802246706aULL, 0x00ca6505a5240244ULL,
0x002246b62d919782ULL, 0x001439102d7aa9b3ULL,
0x00e8af1139e6422cULL, 0x00c888d1b52f2b05ULL)},
{FIELD_LITERAL(0x005b67690ffd41d9ULL, 0x005294f28df516f9ULL,
0x00a879272412fcb9ULL, 0x00098b629a6d1c8dULL,
0x00fabd3c8050865aULL, 0x00cd7e5b0a3879c5ULL,
0x00153238210f3423ULL, 0x00357cac101e9f42ULL)},
{FIELD_LITERAL(0x008917b454444fb7ULL, 0x00f59247c97e441bULL,
0x00a6200a6815152dULL, 0x0009a4228601d254ULL,
0x001c0360559bd374ULL, 0x007563362039cb36ULL,
0x00bd75b48d74e32bULL, 0x0017f515ac3499e8ULL)},
}}, {{
{FIELD_LITERAL(0x001532a7ffe41c5aULL, 0x00eb1edce358d6bfULL,
0x00ddbacc7b678a7bULL, 0x008a7b70f3c841a3ULL,
0x00f1923bf27d3f4cULL, 0x000b2713ed8f7873ULL,
0x00aaf67e29047902ULL, 0x0044994a70b3976dULL)},
{FIELD_LITERAL(0x00d54e802082d42cULL, 0x00a55aa0dce7cc6cULL,
0x006477b96073f146ULL, 0x0082efe4ceb43594ULL,
0x00a922bcba026845ULL, 0x0077f19d1ab75182ULL,
0x00c2bb2737846e59ULL, 0x0004d7eec791dd33ULL)},
{FIELD_LITERAL(0x0044588d1a81d680ULL, 0x00b0a9097208e4f8ULL,
0x00212605350dc57eULL, 0x0028717cd2871123ULL,
0x00fb083c100fd979ULL, 0x0045a056ce063fdfULL,
0x00a5d604b4dd6a41ULL, 0x001dabc08ba4e236ULL)},
}}, {{
{FIELD_LITERAL(0x00c4887198d7a7faULL, 0x00244f98fb45784aULL,
0x0045911e15a15d01ULL, 0x001d323d374c0966ULL,
0x00967c3915196562ULL, 0x0039373abd2f3c67ULL,
0x000d2c5614312423ULL, 0x0041cf2215442ce3ULL)},
{FIELD_LITERAL(0x008ede889ada7f06ULL, 0x001611e91de2e135ULL,
0x00fdb9a458a471b9ULL, 0x00563484e03710d1ULL,
0x0031cc81925e3070ULL, 0x0062c97b3af80005ULL,
0x00fa733eea28edebULL, 0x00e82457e1ebbc88ULL)},
{FIELD_LITERAL(0x006a0df5fe9b6f59ULL, 0x00a0d4ff46040d92ULL,
0x004a7cedb6f93250ULL, 0x00d1df8855b8c357ULL,
0x00e73a46086fd058ULL, 0x0048fb0add6dfe59ULL,
0x001e03a28f1b4e3dULL, 0x00a871c993308d76ULL)},
}}, {{
{FIELD_LITERAL(0x0030dbb2d1766ec8ULL, 0x00586c0ad138555eULL,
0x00d1a34f9e91c77cULL, 0x0063408ad0e89014ULL,
0x00d61231b05f6f5bULL, 0x0009abf569f5fd8aULL,
0x00aec67a110f1c43ULL, 0x0031d1a790938dd7ULL)},
{FIELD_LITERAL(0x006cded841e2a862ULL, 0x00198d60af0ab6fbULL,
0x0018f09db809e750ULL, 0x004e6ac676016263ULL,
0x00eafcd1620969cbULL, 0x002c9784ca34917dULL,
0x0054f00079796de7ULL, 0x00d9fab5c5972204ULL)},
{FIELD_LITERAL(0x004bd0fee2438a83ULL, 0x00b571e62b0f83bdULL,
0x0059287d7ce74800ULL, 0x00fb3631b645c3f0ULL,
0x00a018e977f78494ULL, 0x0091e27065c27b12ULL,
0x007696c1817165e0ULL, 0x008c40be7c45ba3aULL)},
}}, {{
{FIELD_LITERAL(0x00a0f326327cb684ULL, 0x001c7d0f672680ffULL,
0x008c1c81ffb112d1ULL, 0x00f8f801674eddc8ULL,
0x00e926d5d48c2a9dULL, 0x005bd6d954c6fe9aULL,
0x004c6b24b4e33703ULL, 0x00d05eb5c09105ccULL)},
{FIELD_LITERAL(0x00d61731caacf2cfULL, 0x002df0c7609e01c5ULL,
0x00306172208b1e2bULL, 0x00b413fe4fb2b686ULL,
0x00826d360902a221ULL, 0x003f8d056e67e7f7ULL,
0x0065025b0175e989ULL, 0x00369add117865ebULL)},
{FIELD_LITERAL(0x00aaf895aec2fa11ULL, 0x000f892bc313eb52ULL,
0x005b1c794dad050bULL, 0x003f8ec4864cec14ULL,
0x00af81058d0b90e5ULL, 0x00ebe43e183997bbULL,
0x00a9d610f9f3e615ULL, 0x007acd8eec2e88d3ULL)},
}}, {{
{FIELD_LITERAL(0x0049b2fab13812a3ULL, 0x00846db32cd60431ULL,
0x000177fa578c8d6cULL, 0x00047d0e2ad4bc51ULL,
0x00b158ba38d1e588ULL, 0x006a45daad79e3f3ULL,
0x000997b93cab887bULL, 0x00c47ea42fa23dc3ULL)},
{FIELD_LITERAL(0x0012b6fef7aeb1caULL, 0x009412768194b6a7ULL,
0x00ff0d351f23ab93ULL, 0x007e8a14c1aff71bULL,
0x006c1c0170c512bcULL, 0x0016243ea02ab2e5ULL,
0x007bb6865b303f3eULL, 0x0015ce6b29b159f4ULL)},
{FIELD_LITERAL(0x009961cd02e68108ULL, 0x00e2035d3a1d0836ULL,
0x005d51f69b5e1a1dULL, 0x004bccb4ea36edcdULL,
0x0069be6a7aeef268ULL, 0x0063f4dd9de8d5a7ULL,
0x006283783092ca35ULL, 0x0075a31af2c35409ULL)},
}}, {{
{FIELD_LITERAL(0x00c412365162e8cfULL, 0x00012283fb34388aULL,
0x003e6543babf39e2ULL, 0x00eead6b3a804978ULL,
0x0099c0314e8b326fULL, 0x00e98e0a8d477a4fULL,
0x00d2eb96b127a687ULL, 0x00ed8d7df87571bbULL)},
{FIELD_LITERAL(0x00777463e308cacfULL, 0x00c8acb93950132dULL,
0x00ebddbf4ca48b2cULL, 0x0026ad7ca0795a0aULL,
0x00f99a3d9a715064ULL, 0x000d60bcf9d4dfccULL,
0x005e65a73a437a06ULL, 0x0019d536a8db56c8ULL)},
{FIELD_LITERAL(0x00192d7dd558d135ULL, 0x0027cd6a8323ffa7ULL,
0x00239f1a412dc1e7ULL, 0x0046b4b3be74fc5cULL,
0x0020c47a2bef5bceULL, 0x00aa17e48f43862bULL,
0x00f7e26c96342e5fULL, 0x0008011c530f39a9ULL)},
}}, {{
{FIELD_LITERAL(0x00aad4ac569bf0f1ULL, 0x00a67adc90b27740ULL,
0x0048551369a5751aULL, 0x0031252584a3306aULL,
0x0084e15df770e6fcULL, 0x00d7bba1c74b5805ULL,
0x00a80ef223af1012ULL, 0x0089c85ceb843a34ULL)},
{FIELD_LITERAL(0x00c4545be4a54004ULL, 0x0099e11f60357e6cULL,
0x001f3936d19515a6ULL, 0x007793df84341a6eULL,
0x0051061886717ffaULL, 0x00e9b0a660b28f85ULL,
0x0044ea685892de0dULL, 0x000257d2a1fda9d9ULL)},
{FIELD_LITERAL(0x007e8b01b24ac8a8ULL, 0x006cf3b0b5ca1337ULL,
0x00f1607d3e36a570ULL, 0x0039b7fab82991a1ULL,
0x00231777065840c5ULL, 0x00998e5afdd346f9ULL,
0x00b7dc3e64acc85fULL, 0x00baacc748013ad6ULL)},
}}, {{
{FIELD_LITERAL(0x008ea6a4177580bfULL, 0x005fa1953e3f0378ULL,
0x005fe409ac74d614ULL, 0x00452327f477e047ULL,
0x00a4018507fb6073ULL, 0x007b6e71951caac8ULL,
0x0012b42ab8a6ce91ULL, 0x0080eca677294ab7ULL)},
{FIELD_LITERAL(0x00a53edc023ba69bULL, 0x00c6afa83ddde2e8ULL,
0x00c3f638b307b14eULL, 0x004a357a64414062ULL,
0x00e4d94d8b582dc9ULL, 0x001739caf71695b7ULL,
0x0012431b2ae28de1ULL, 0x003b6bc98682907cULL)},
{FIELD_LITERAL(0x008a9a93be1f99d6ULL, 0x0079fa627cc699c8ULL,
0x00b0cfb134ba84c8ULL, 0x001c4b778249419aULL,
0x00df4ab3d9c44f40ULL, 0x009f596e6c1a9e3cULL,
0x001979c0df237316ULL, 0x00501e953a919b87ULL)},
}}
};
const niels_t *ossl_curve448_wnaf_base = curve448_wnaf_base_table;
|
./openssl/crypto/ec/curve448/word.h | /*
* Copyright 2017-2021 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2014 Cryptography Research, Inc.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
* Originally written by Mike Hamburg
*/
#ifndef OSSL_CRYPTO_EC_CURVE448_WORD_H
# define OSSL_CRYPTO_EC_CURVE448_WORD_H
# include <string.h>
# include <assert.h>
# include <stdlib.h>
# include <openssl/e_os2.h>
# include "curve448utils.h"
# ifdef INT128_MAX
# include "arch_64/arch_intrinsics.h"
# else
# include "arch_32/arch_intrinsics.h"
# endif
# if (ARCH_WORD_BITS == 64)
typedef uint64_t word_t, mask_t;
typedef uint128_t dword_t;
typedef int32_t hsword_t;
typedef int64_t sword_t;
typedef int128_t dsword_t;
# elif (ARCH_WORD_BITS == 32)
typedef uint32_t word_t, mask_t;
typedef uint64_t dword_t;
typedef int16_t hsword_t;
typedef int32_t sword_t;
typedef int64_t dsword_t;
# else
# error "For now, we only support 32- and 64-bit architectures."
# endif
/*
* Scalar limbs are keyed off of the API word size instead of the arch word
* size.
*/
# if C448_WORD_BITS == 64
# define SC_LIMB(x) (x)
# elif C448_WORD_BITS == 32
# define SC_LIMB(x) ((uint32_t)(x)),((x) >> 32)
# else
# error "For now we only support 32- and 64-bit architectures."
# endif
/*
* The plan on booleans: The external interface uses c448_bool_t, but this
* might be a different size than our particular arch's word_t (and thus
* mask_t). Also, the caller isn't guaranteed to pass it as nonzero. So
* bool_to_mask converts word sizes and checks nonzero. On the flip side,
* mask_t is always -1 or 0, but it might be a different size than
* c448_bool_t. On the third hand, we have success vs boolean types, but
* that's handled in common.h: it converts between c448_bool_t and
* c448_error_t.
*/
static ossl_inline c448_bool_t mask_to_bool(mask_t m)
{
return (c448_sword_t)(sword_t)m;
}
static ossl_inline mask_t bool_to_mask(c448_bool_t m)
{
/* On most arches this will be optimized to a simple cast. */
mask_t ret = 0;
unsigned int i;
unsigned int limit = sizeof(c448_bool_t) / sizeof(mask_t);
if (limit < 1)
limit = 1;
for (i = 0; i < limit; i++)
ret |= ~word_is_zero(m >> (i * 8 * sizeof(word_t)));
return ret;
}
#endif /* OSSL_CRYPTO_EC_CURVE448_WORD_H */
|
./openssl/crypto/ec/curve448/field.h | /*
* Copyright 2017-2023 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2014 Cryptography Research, Inc.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
* Originally written by Mike Hamburg
*/
#ifndef OSSL_CRYPTO_EC_CURVE448_FIELD_H
# define OSSL_CRYPTO_EC_CURVE448_FIELD_H
# include "internal/constant_time.h"
# include <string.h>
# include <assert.h>
# include "word.h"
# define NLIMBS (64/sizeof(word_t))
# define X_SER_BYTES 56
# define SER_BYTES 56
# if defined(__GNUC__) || defined(__clang__)
# define INLINE_UNUSED __inline__ __attribute__((__unused__,__always_inline__))
# define RESTRICT __restrict__
# define ALIGNED __attribute__((__aligned__(16)))
# else
# define INLINE_UNUSED ossl_inline
# define RESTRICT
# define ALIGNED
# endif
typedef struct gf_s {
word_t limb[NLIMBS];
} ALIGNED gf_s, gf[1];
/* RFC 7748 support */
# define X_PUBLIC_BYTES X_SER_BYTES
# define X_PRIVATE_BYTES X_PUBLIC_BYTES
# define X_PRIVATE_BITS 448
static INLINE_UNUSED void gf_copy(gf out, const gf a)
{
*out = *a;
}
static INLINE_UNUSED void gf_add_RAW(gf out, const gf a, const gf b);
static INLINE_UNUSED void gf_sub_RAW(gf out, const gf a, const gf b);
static INLINE_UNUSED void gf_bias(gf inout, int amount);
static INLINE_UNUSED void gf_weak_reduce(gf inout);
void gf_strong_reduce(gf inout);
void gf_add(gf out, const gf a, const gf b);
void gf_sub(gf out, const gf a, const gf b);
void ossl_gf_mul(gf_s * RESTRICT out, const gf a, const gf b);
void ossl_gf_mulw_unsigned(gf_s * RESTRICT out, const gf a, uint32_t b);
void ossl_gf_sqr(gf_s * RESTRICT out, const gf a);
mask_t gf_isr(gf a, const gf x); /** a^2 x = 1, QNR, or 0 if x=0. Return true if successful */
mask_t gf_eq(const gf x, const gf y);
mask_t gf_lobit(const gf x);
mask_t gf_hibit(const gf x);
void gf_serialize(uint8_t serial[SER_BYTES], const gf x, int with_highbit);
mask_t gf_deserialize(gf x, const uint8_t serial[SER_BYTES], int with_hibit,
uint8_t hi_nmask);
# define LIMBPERM(i) (i)
# if (ARCH_WORD_BITS == 32)
# include "arch_32/f_impl.h" /* Bring in the inline implementations */
# define LIMB_MASK(i) (((1)<<LIMB_PLACE_VALUE(i))-1)
# elif (ARCH_WORD_BITS == 64)
# include "arch_64/f_impl.h" /* Bring in the inline implementations */
# define LIMB_MASK(i) (((1ULL)<<LIMB_PLACE_VALUE(i))-1)
# endif
static const gf ZERO = {{{0}}}, ONE = {{{1}}};
/* Square x, n times. */
static ossl_inline void gf_sqrn(gf_s * RESTRICT y, const gf x, int n)
{
gf tmp;
assert(n > 0);
if (n & 1) {
ossl_gf_sqr(y, x);
n--;
} else {
ossl_gf_sqr(tmp, x);
ossl_gf_sqr(y, tmp);
n -= 2;
}
for (; n; n -= 2) {
ossl_gf_sqr(tmp, y);
ossl_gf_sqr(y, tmp);
}
}
# define gf_add_nr gf_add_RAW
/* Subtract mod p. Bias by 2 and don't reduce */
static ossl_inline void gf_sub_nr(gf c, const gf a, const gf b)
{
gf_sub_RAW(c, a, b);
gf_bias(c, 2);
if (GF_HEADROOM < 3)
gf_weak_reduce(c);
}
/* Subtract mod p. Bias by amt but don't reduce. */
static ossl_inline void gf_subx_nr(gf c, const gf a, const gf b, int amt)
{
gf_sub_RAW(c, a, b);
gf_bias(c, amt);
if (GF_HEADROOM < amt + 1)
gf_weak_reduce(c);
}
/* Mul by signed int. Not constant-time WRT the sign of that int. */
static ossl_inline void gf_mulw(gf c, const gf a, int32_t w)
{
if (w > 0) {
ossl_gf_mulw_unsigned(c, a, w);
} else {
ossl_gf_mulw_unsigned(c, a, -w);
gf_sub(c, ZERO, c);
}
}
/* Constant time, x = is_z ? z : y */
static ossl_inline void gf_cond_sel(gf x, const gf y, const gf z, mask_t is_z)
{
size_t i;
for (i = 0; i < NLIMBS; i++) {
#if ARCH_WORD_BITS == 32
x[0].limb[i] = constant_time_select_32(is_z, z[0].limb[i],
y[0].limb[i]);
#else
/* Must be 64 bit */
x[0].limb[i] = constant_time_select_64(is_z, z[0].limb[i],
y[0].limb[i]);
#endif
}
}
/* Constant time, if (neg) x=-x; */
static ossl_inline void gf_cond_neg(gf x, mask_t neg)
{
gf y;
gf_sub(y, ZERO, x);
gf_cond_sel(x, x, y, neg);
}
/* Constant time, if (swap) (x,y) = (y,x); */
static ossl_inline void gf_cond_swap(gf x, gf_s * RESTRICT y, mask_t swap)
{
size_t i;
for (i = 0; i < NLIMBS; i++) {
#if ARCH_WORD_BITS == 32
constant_time_cond_swap_32(swap, &(x[0].limb[i]), &(y->limb[i]));
#else
/* Must be 64 bit */
constant_time_cond_swap_64(swap, &(x[0].limb[i]), &(y->limb[i]));
#endif
}
}
#endif /* OSSL_CRYPTO_EC_CURVE448_FIELD_H */
|
./openssl/crypto/ec/curve448/arch_64/f_impl64.c | /*
* Copyright 2017-2023 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2014 Cryptography Research, Inc.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
* Originally written by Mike Hamburg
*/
#include "internal/e_os.h"
#include <openssl/macros.h>
#include "internal/numbers.h"
#ifndef UINT128_MAX
/* No support for 128 bit ints, so do nothing here */
NON_EMPTY_TRANSLATION_UNIT
#else
# include "../field.h"
void ossl_gf_mul(gf_s * RESTRICT cs, const gf as, const gf bs)
{
const uint64_t *a = as->limb, *b = bs->limb;
uint64_t *c = cs->limb;
uint128_t accum0 = 0, accum1 = 0, accum2;
uint64_t mask = (1ULL << 56) - 1;
uint64_t aa[4], bb[4], bbb[4];
unsigned int i, j;
for (i = 0; i < 4; i++) {
aa[i] = a[i] + a[i + 4];
bb[i] = b[i] + b[i + 4];
bbb[i] = bb[i] + b[i + 4];
}
for (i = 0; i < 4; i++) {
accum2 = 0;
for (j = 0; j <= i; j++) {
accum2 += widemul(a[j], b[i - j]);
accum1 += widemul(aa[j], bb[i - j]);
accum0 += widemul(a[j + 4], b[i - j + 4]);
}
for (; j < 4; j++) {
accum2 += widemul(a[j], b[i - j + 8]);
accum1 += widemul(aa[j], bbb[i - j + 4]);
accum0 += widemul(a[j + 4], bb[i - j + 4]);
}
accum1 -= accum2;
accum0 += accum2;
c[i] = ((uint64_t)(accum0)) & mask;
c[i + 4] = ((uint64_t)(accum1)) & mask;
accum0 >>= 56;
accum1 >>= 56;
}
accum0 += accum1;
accum0 += c[4];
accum1 += c[0];
c[4] = ((uint64_t)(accum0)) & mask;
c[0] = ((uint64_t)(accum1)) & mask;
accum0 >>= 56;
accum1 >>= 56;
c[5] += ((uint64_t)(accum0));
c[1] += ((uint64_t)(accum1));
}
void ossl_gf_mulw_unsigned(gf_s * RESTRICT cs, const gf as, uint32_t b)
{
const uint64_t *a = as->limb;
uint64_t *c = cs->limb;
uint128_t accum0 = 0, accum4 = 0;
uint64_t mask = (1ULL << 56) - 1;
int i;
for (i = 0; i < 4; i++) {
accum0 += widemul(b, a[i]);
accum4 += widemul(b, a[i + 4]);
c[i] = accum0 & mask;
accum0 >>= 56;
c[i + 4] = accum4 & mask;
accum4 >>= 56;
}
accum0 += accum4 + c[4];
c[4] = accum0 & mask;
c[5] += accum0 >> 56;
accum4 += c[0];
c[0] = accum4 & mask;
c[1] += accum4 >> 56;
}
void ossl_gf_sqr(gf_s * RESTRICT cs, const gf as)
{
const uint64_t *a = as->limb;
uint64_t *c = cs->limb;
uint128_t accum0 = 0, accum1 = 0, accum2;
uint64_t mask = (1ULL << 56) - 1;
uint64_t aa[4];
unsigned int i;
/* For some reason clang doesn't vectorize this without prompting? */
for (i = 0; i < 4; i++)
aa[i] = a[i] + a[i + 4];
accum2 = widemul(a[0], a[3]);
accum0 = widemul(aa[0], aa[3]);
accum1 = widemul(a[4], a[7]);
accum2 += widemul(a[1], a[2]);
accum0 += widemul(aa[1], aa[2]);
accum1 += widemul(a[5], a[6]);
accum0 -= accum2;
accum1 += accum2;
c[3] = ((uint64_t)(accum1)) << 1 & mask;
c[7] = ((uint64_t)(accum0)) << 1 & mask;
accum0 >>= 55;
accum1 >>= 55;
accum0 += widemul(2 * aa[1], aa[3]);
accum1 += widemul(2 * a[5], a[7]);
accum0 += widemul(aa[2], aa[2]);
accum1 += accum0;
accum0 -= widemul(2 * a[1], a[3]);
accum1 += widemul(a[6], a[6]);
accum2 = widemul(a[0], a[0]);
accum1 -= accum2;
accum0 += accum2;
accum0 -= widemul(a[2], a[2]);
accum1 += widemul(aa[0], aa[0]);
accum0 += widemul(a[4], a[4]);
c[0] = ((uint64_t)(accum0)) & mask;
c[4] = ((uint64_t)(accum1)) & mask;
accum0 >>= 56;
accum1 >>= 56;
accum2 = widemul(2 * aa[2], aa[3]);
accum0 -= widemul(2 * a[2], a[3]);
accum1 += widemul(2 * a[6], a[7]);
accum1 += accum2;
accum0 += accum2;
accum2 = widemul(2 * a[0], a[1]);
accum1 += widemul(2 * aa[0], aa[1]);
accum0 += widemul(2 * a[4], a[5]);
accum1 -= accum2;
accum0 += accum2;
c[1] = ((uint64_t)(accum0)) & mask;
c[5] = ((uint64_t)(accum1)) & mask;
accum0 >>= 56;
accum1 >>= 56;
accum2 = widemul(aa[3], aa[3]);
accum0 -= widemul(a[3], a[3]);
accum1 += widemul(a[7], a[7]);
accum1 += accum2;
accum0 += accum2;
accum2 = widemul(2 * a[0], a[2]);
accum1 += widemul(2 * aa[0], aa[2]);
accum0 += widemul(2 * a[4], a[6]);
accum2 += widemul(a[1], a[1]);
accum1 += widemul(aa[1], aa[1]);
accum0 += widemul(a[5], a[5]);
accum1 -= accum2;
accum0 += accum2;
c[2] = ((uint64_t)(accum0)) & mask;
c[6] = ((uint64_t)(accum1)) & mask;
accum0 >>= 56;
accum1 >>= 56;
accum0 += c[3];
accum1 += c[7];
c[3] = ((uint64_t)(accum0)) & mask;
c[7] = ((uint64_t)(accum1)) & mask;
/* we could almost stop here, but it wouldn't be stable, so... */
accum0 >>= 56;
accum1 >>= 56;
c[4] += ((uint64_t)(accum0)) + ((uint64_t)(accum1));
c[0] += ((uint64_t)(accum1));
}
#endif
|
./openssl/crypto/ec/curve448/arch_64/arch_intrinsics.h | /*
* Copyright 2017-2022 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2016 Cryptography Research, Inc.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
* Originally written by Mike Hamburg
*/
#ifndef OSSL_CRYPTO_EC_CURVE448_ARCH_64_INTRINSICS_H
# define OSSL_CRYPTO_EC_CURVE448_ARCH_64_INTRINSICS_H
# include "internal/constant_time.h"
# define ARCH_WORD_BITS 64
# define word_is_zero(a) constant_time_is_zero_64(a)
static ossl_inline uint128_t widemul(uint64_t a, uint64_t b)
{
return ((uint128_t) a) * b;
}
#endif /* OSSL_CRYPTO_EC_CURVE448_ARCH_64_INTRINSICS_H */
|
./openssl/crypto/ec/curve448/arch_64/f_impl.h | /*
* Copyright 2017-2022 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2014-2016 Cryptography Research, Inc.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
* Originally written by Mike Hamburg
*/
#ifndef OSSL_CRYPTO_EC_CURVE448_ARCH_64_F_IMPL_H
# define OSSL_CRYPTO_EC_CURVE448_ARCH_64_F_IMPL_H
# define GF_HEADROOM 9999 /* Everything is reduced anyway */
# define FIELD_LITERAL(a,b,c,d,e,f,g,h) {{a,b,c,d,e,f,g,h}}
# define LIMB_PLACE_VALUE(i) 56
void gf_add_RAW(gf out, const gf a, const gf b)
{
unsigned int i;
for (i = 0; i < NLIMBS; i++)
out->limb[i] = a->limb[i] + b->limb[i];
gf_weak_reduce(out);
}
void gf_sub_RAW(gf out, const gf a, const gf b)
{
uint64_t co1 = ((1ULL << 56) - 1) * 2, co2 = co1 - 2;
unsigned int i;
for (i = 0; i < NLIMBS; i++)
out->limb[i] = a->limb[i] - b->limb[i] + ((i == NLIMBS / 2) ? co2 : co1);
gf_weak_reduce(out);
}
void gf_bias(gf a, int amt)
{
}
void gf_weak_reduce(gf a)
{
uint64_t mask = (1ULL << 56) - 1;
uint64_t tmp = a->limb[NLIMBS - 1] >> 56;
unsigned int i;
a->limb[NLIMBS / 2] += tmp;
for (i = NLIMBS - 1; i > 0; i--)
a->limb[i] = (a->limb[i] & mask) + (a->limb[i - 1] >> 56);
a->limb[0] = (a->limb[0] & mask) + tmp;
}
#endif /* OSSL_CRYPTO_EC_CURVE448_ARCH_64_F_IMPL_H */
|
./openssl/crypto/ec/curve448/arch_32/f_impl32.c | /*
* Copyright 2017-2023 The OpenSSL Project Authors. All Rights Reserved.
* Copyright 2014 Cryptography Research, Inc.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*
* Originally written by Mike Hamburg
*/
#include "internal/e_os.h"
#include <openssl/macros.h>
#include "internal/numbers.h"
#ifdef UINT128_MAX
/* We have support for 128 bit ints, so do nothing here */
NON_EMPTY_TRANSLATION_UNIT
#else
# include "../field.h"
void ossl_gf_mul(gf_s * RESTRICT cs, const gf as, const gf bs)
{
const uint32_t *a = as->limb, *b = bs->limb;
uint32_t *c = cs->limb;
uint64_t accum0 = 0, accum1 = 0, accum2 = 0;
uint32_t mask = (1 << 28) - 1;
uint32_t aa[8], bb[8];
int i, j;
for (i = 0; i < 8; i++) {
aa[i] = a[i] + a[i + 8];
bb[i] = b[i] + b[i + 8];
}
for (j = 0; j < 8; j++) {
accum2 = 0;
for (i = 0; i < j + 1; i++) {
accum2 += widemul(a[j - i], b[i]);
accum1 += widemul(aa[j - i], bb[i]);
accum0 += widemul(a[8 + j - i], b[8 + i]);
}
accum1 -= accum2;
accum0 += accum2;
accum2 = 0;
for (i = j + 1; i < 8; i++) {
accum0 -= widemul(a[8 + j - i], b[i]);
accum2 += widemul(aa[8 + j - i], bb[i]);
accum1 += widemul(a[16 + j - i], b[8 + i]);
}
accum1 += accum2;
accum0 += accum2;
c[j] = ((uint32_t)(accum0)) & mask;
c[j + 8] = ((uint32_t)(accum1)) & mask;
accum0 >>= 28;
accum1 >>= 28;
}
accum0 += accum1;
accum0 += c[8];
accum1 += c[0];
c[8] = ((uint32_t)(accum0)) & mask;
c[0] = ((uint32_t)(accum1)) & mask;
accum0 >>= 28;
accum1 >>= 28;
c[9] += ((uint32_t)(accum0));
c[1] += ((uint32_t)(accum1));
}
void ossl_gf_mulw_unsigned(gf_s * RESTRICT cs, const gf as, uint32_t b)
{
const uint32_t *a = as->limb;
uint32_t *c = cs->limb;
uint64_t accum0 = 0, accum8 = 0;
uint32_t mask = (1 << 28) - 1;
int i;
assert(b <= mask);
for (i = 0; i < 8; i++) {
accum0 += widemul(b, a[i]);
accum8 += widemul(b, a[i + 8]);
c[i] = accum0 & mask;
accum0 >>= 28;
c[i + 8] = accum8 & mask;
accum8 >>= 28;
}
accum0 += accum8 + c[8];
c[8] = ((uint32_t)accum0) & mask;
c[9] += (uint32_t)(accum0 >> 28);
accum8 += c[0];
c[0] = ((uint32_t)accum8) & mask;
c[1] += (uint32_t)(accum8 >> 28);
}
void ossl_gf_sqr(gf_s * RESTRICT cs, const gf as)
{
ossl_gf_mul(cs, as, as); /* Performs better with a dedicated square */
}
#endif
|