pub trait Readable {
    type Output;
    fn words_count() -> usize;
    fn read_words(words: &[&str]) -> Result<Self::Output, String>;
}
#[macro_export]
macro_rules! readable {
    ( $ t : ty , $ words_count : expr , |$ words : ident | $ read_words : expr ) => {
        impl Readable for $t {
            type Output = $t;
            fn words_count() -> usize {
                $words_count
            }
            fn read_words($words: &[&str]) -> Result<$t, String> {
                Ok($read_words)
            }
        }
    };
}
readable!((), 1, |_ss| ());
readable!(String, 1, |ss| ss[0].to_string());
impl Readable for char {
    type Output = char;
    fn words_count() -> usize {
        1
    }
    fn read_words(words: &[&str]) -> Result<char, String> {
        let chars: Vec<char> = words[0].chars().collect();
        if chars.len() == 1 {
            Ok(chars[0])
        } else {
            Err(format!("cannot parse `{}` as a char", words[0]))
        }
    }
}
pub struct Chars();
impl Readable for Chars {
    type Output = Vec<char>;
    fn words_count() -> usize {
        1
    }
    fn read_words(words: &[&str]) -> Result<Vec<char>, String> {
        Ok(words[0].chars().collect())
    }
}
macro_rules ! impl_readable_for_ints { ( $ ( $ t : ty ) * ) => { $ ( impl Readable for $ t { type Output = Self ; fn words_count ( ) -> usize { 1 } fn read_words ( words : & [ & str ] ) -> Result <$ t , String > { use std :: str :: FromStr ; <$ t >:: from_str ( words [ 0 ] ) . map_err ( | _ | { format ! ( "cannot parse `{}` as {}" , words [ 0 ] , stringify ! ( $ t ) ) } ) } } ) * } ; }
impl_readable_for_ints ! ( i8 u8 i16 u16 i32 u32 i64 u64 isize usize f32 f64 ) ;
macro_rules ! define_one_origin_int_types { ( $ new_t : ident $ int_t : ty ) => { # [ doc = " Converts 1-origin integer into 0-origin when read from stdin." ] # [ doc = "" ] # [ doc = " # Example" ] # [ doc = "" ] # [ doc = " ```no_run" ] # [ doc = " # #[macro_use] extern crate atcoder_snippets;" ] # [ doc = " # use atcoder_snippets::read::*;" ] # [ doc = " // Stdin: \"1\"" ] # [ doc = " read!(a = usize_);" ] # [ doc = " assert_eq!(a, 0);" ] # [ doc = " ```" ] # [ allow ( non_camel_case_types ) ] pub struct $ new_t ; impl Readable for $ new_t { type Output = $ int_t ; fn words_count ( ) -> usize { 1 } fn read_words ( words : & [ & str ] ) -> Result < Self :: Output , String > { <$ int_t >:: read_words ( words ) . map ( | n | n - 1 ) } } } ; ( $ new_t : ident $ int_t : ty ; $ ( $ inner_new_t : ident $ inner_int_t : ty ) ;* ) => { define_one_origin_int_types ! ( $ new_t $ int_t ) ; define_one_origin_int_types ! ( $ ( $ inner_new_t $ inner_int_t ) ;* ) ; } ; }
define_one_origin_int_types ! ( u8_ u8 ; u16_ u16 ; u32_ u32 ; u64_ u64 ; usize_ usize ) ;
macro_rules ! impl_readable_for_tuples { ( $ t : ident $ var : ident ) => ( ) ; ( $ t : ident $ var : ident ; $ ( $ inner_t : ident $ inner_var : ident ) ;* ) => { impl_readable_for_tuples ! ( $ ( $ inner_t $ inner_var ) ;* ) ; impl <$ t : Readable , $ ( $ inner_t : Readable ) ,*> Readable for ( $ t , $ ( $ inner_t ) ,* ) { type Output = ( <$ t >:: Output , $ ( <$ inner_t >:: Output ) ,* ) ; fn words_count ( ) -> usize { let mut n = <$ t >:: words_count ( ) ; $ ( n += <$ inner_t >:: words_count ( ) ; ) * n } # [ allow ( unused_assignments ) ] fn read_words ( words : & [ & str ] ) -> Result < Self :: Output , String > { let mut start = 0 ; let $ var = <$ t >:: read_words ( & words [ start .. start +<$ t >:: words_count ( ) ] ) ?; start += <$ t >:: words_count ( ) ; $ ( let $ inner_var = <$ inner_t >:: read_words ( & words [ start .. start +<$ inner_t >:: words_count ( ) ] ) ?; start += <$ inner_t >:: words_count ( ) ; ) * Ok ( ( $ var , $ ( $ inner_var ) ,* ) ) } } } ; }
impl_readable_for_tuples ! ( T8 x8 ; T7 x7 ; T6 x6 ; T5 x5 ; T4 x4 ; T3 x3 ; T2 x2 ; T1 x1 ) ;
pub trait ReadableFromLine {
    type Output;
    fn read_line(line: &str) -> Result<Self::Output, String>;
}
fn split_into_words(line: &str) -> Vec<&str> {
    #[allow(deprecated)]
    line.trim_right_matches('\n').split_whitespace().collect()
}
impl<T: Readable> ReadableFromLine for T {
    type Output = T::Output;
    fn read_line(line: &str) -> Result<T::Output, String> {
        let words = split_into_words(line);
        if words.len() != T::words_count() {
            return Err(format!(
                "line `{}` has {} words, expected {}",
                line,
                words.len(),
                T::words_count()
            ));
        }
        T::read_words(&words)
    }
}
macro_rules ! impl_readable_from_line_for_tuples_with_from_iterator { ( $ u : ident : $ ( + $ bound : path ) * => $ seq_in : ty , $ seq_out : ty ; $ t : ident $ var : ident ) => { impl <$ u : Readable > ReadableFromLine for $ seq_in where <$ u as Readable >:: Output : Sized $ ( + $ bound ) * { type Output = $ seq_out ; fn read_line ( line : & str ) -> Result <$ seq_out , String > { let n = $ u :: words_count ( ) ; let words = split_into_words ( line ) ; if words . len ( ) % n != 0 { return Err ( format ! ( "line `{}` has {} words, expected multiple of {}" , line , words . len ( ) , n ) ) ; } let mut result = Vec :: new ( ) ; for chunk in words . chunks ( n ) { match $ u :: read_words ( chunk ) { Ok ( v ) => result . push ( v ) , Err ( msg ) => { let flagment_msg = if n == 1 { format ! ( "word {}" , result . len ( ) ) } else { let l = result . len ( ) ; format ! ( "words {}-{}" , n * l + 1 , ( n + 1 ) * l ) } ; return Err ( format ! ( "{} of line `{}`: {}" , flagment_msg , line , msg ) ) ; } } } Ok ( result . into_iter ( ) . collect ( ) ) } } impl < T : Readable , $ u : Readable > ReadableFromLine for ( T , $ seq_in ) where <$ u as Readable >:: Output : Sized $ ( + $ bound ) * { type Output = ( T :: Output , $ seq_out ) ; fn read_line ( line : & str ) -> Result < Self :: Output , String > { let n = T :: words_count ( ) ; # [ allow ( deprecated ) ] let trimmed = line . trim_right_matches ( '\n' ) ; let words_and_rest : Vec <& str > = trimmed . splitn ( n + 1 , ' ' ) . collect ( ) ; if words_and_rest . len ( ) < n { return Err ( format ! ( "line `{}` has {} words, expected at least {}" , line , words_and_rest . len ( ) , n ) ) ; } let words = & words_and_rest [ .. n ] ; let empty_str = "" ; let rest = words_and_rest . get ( n ) . unwrap_or ( & empty_str ) ; Ok ( ( T :: read_words ( words ) ?, <$ seq_in >:: read_line ( rest ) ? ) ) } } } ; ( $ u : ident : $ ( + $ bound : path ) * => $ seq_in : ty , $ seq_out : ty ; $ t : ident $ var : ident , $ ( $ inner_t : ident $ inner_var : ident ) ,+ ) => { impl_readable_from_line_for_tuples_with_from_iterator ! ( $ u : $ ( + $ bound ) * => $ seq_in , $ seq_out ; $ ( $ inner_t $ inner_var ) ,+ ) ; impl <$ t : Readable , $ ( $ inner_t : Readable ) ,+ , $ u : Readable > ReadableFromLine for ( $ t , $ ( $ inner_t ) ,+ , $ seq_in ) where <$ u as Readable >:: Output : Sized $ ( + $ bound ) * { type Output = ( $ t :: Output , $ ( $ inner_t :: Output ) ,+ , $ seq_out ) ; fn read_line ( line : & str ) -> Result < Self :: Output , String > { let mut n = $ t :: words_count ( ) ; $ ( n += $ inner_t :: words_count ( ) ; ) + # [ allow ( deprecated ) ] let trimmed = line . trim_right_matches ( '\n' ) ; let words_and_rest : Vec <& str > = trimmed . splitn ( n + 1 , ' ' ) . collect ( ) ; if words_and_rest . len ( ) < n { return Err ( format ! ( "line `{}` has {} words, expected at least {}" , line , words_and_rest . len ( ) , n ) ) ; } let words = & words_and_rest [ .. n ] ; let empty_str = "" ; let rest = words_and_rest . get ( n ) . unwrap_or ( & empty_str ) ; let ( $ var , $ ( $ inner_var ) ,* ) = < ( $ t , $ ( $ inner_t ) ,+ ) >:: read_words ( words ) ?; Ok ( ( $ var , $ ( $ inner_var ) ,* , <$ seq_in >:: read_line ( rest ) ? ) ) } } } ; }
#[macro_export]
macro_rules ! readable_collection { ( $ u : ident => $ collection_in : ty , $ collection_out : ty ) => { impl_readable_from_line_for_tuples_with_from_iterator ! ( $ u : => $ collection_in , $ collection_out ; T8 x8 , T7 x7 , T6 x6 , T5 x5 , T4 t4 , T3 t3 , T2 t2 , T1 t1 ) ; } ; ( $ u : ident : $ ( $ bound : path ) ,* => $ collection_in : ty , $ collection_out : ty ) => { impl_readable_from_line_for_tuples_with_from_iterator ! ( $ u : $ ( + $ bound ) * => $ collection_in , $ collection_out ; T8 x8 , T7 x7 , T6 x6 , T5 x5 , T4 t4 , T3 t3 , T2 t2 , T1 t1 ) ; } }
readable_collection ! ( U => Vec < U >, Vec < U :: Output > ) ;
readable_collection ! ( U : Eq , std :: hash :: Hash => std :: collections :: HashSet < U >, std :: collections :: HashSet < U :: Output > ) ;
pub fn read<T: ReadableFromLine>() -> T::Output {
    let mut line = String::new();
    std::io::stdin().read_line(&mut line).unwrap();
    T::read_line(&line).unwrap()
}
#[macro_export]
macro_rules ! read { ( ) => { let mut line = String :: new ( ) ; std :: io :: stdin ( ) . read_line ( & mut line ) . unwrap ( ) ; } ; ( $ pat : pat = $ t : ty ) => { let $ pat = read ::<$ t > ( ) ; } ; ( $ ( $ pat : pat = $ t : ty ) ,+ ) => { read ! ( ( $ ( $ pat ) ,* ) = ( $ ( $ t ) ,* ) ) ; } ; }
#[macro_export]
macro_rules ! readls { ( $ ( $ pat : pat = $ t : ty ) ,+ ) => { $ ( read ! ( $ pat = $ t ) ; ) * } ; }
pub fn readx<T: ReadableFromLine>() -> Vec<T::Output> {
    use std::io::{self, BufRead};
    let stdin = io::stdin();
    let result = stdin
        .lock()
        .lines()
        .map(|line_result| {
            let line = line_result.expect("read from stdin failed");
            T::read_line(&line).unwrap()
        })
        .collect();
    result
}
#[macro_export]
macro_rules ! readx_loop { ( |$ pat : pat = $ t : ty | $ body : expr ) => { use std :: io :: BufRead ; let stdin = std :: io :: stdin ( ) ; for line in stdin . lock ( ) . lines ( ) { let line = line . expect ( "read from stdin failed" ) ; let $ pat = <$ t >:: read_line ( & line ) . unwrap ( ) ; $ body } } ; ( |$ ( $ pat : pat = $ t : ty ) ,*| $ body : expr ) => { readx_loop ! ( | ( $ ( $ pat ) ,* ) = ( $ ( $ t ) ,* ) | $ body ) ; } ; }
pub fn readn<T: ReadableFromLine>(n: usize) -> Vec<T::Output> {
    use std::io::{self, BufRead};
    let stdin = io::stdin();
    let result: Vec<T::Output> = stdin
        .lock()
        .lines()
        .take(n)
        .map(|line_result| {
            let line = line_result.expect("read from stdin failed");
            T::read_line(&line).unwrap()
        })
        .collect();
    if result.len() < n {
        panic!(
            "expected reading {} lines, but only {} lines are read",
            n,
            result.len()
        );
    }
    result
}
#[macro_export]
macro_rules ! readn_loop { ( $ n : expr , |$ pat : pat = $ t : ty | $ body : expr ) => { use std :: io :: BufRead ; let stdin = std :: io :: stdin ( ) ; { let mut lock = stdin . lock ( ) ; for _ in 0 ..$ n { let mut line = String :: new ( ) ; lock . read_line ( & mut line ) . expect ( "read from stdin failed" ) ; let $ pat = <$ t >:: read_line ( & line ) . unwrap ( ) ; $ body } } } ; ( $ n : expr , |$ ( $ pat : pat = $ t : ty ) ,*| $ body : expr ) => { readn_loop ! ( $ n , | ( $ ( $ pat ) ,* ) = ( $ ( $ t ) ,* ) | $ body ) ; } ; }
pub trait Words {
    fn read<T: Readable>(&self) -> T::Output;
}
impl<'a> Words for [&'a str] {
    fn read<T: Readable>(&self) -> T::Output {
        T::read_words(self).unwrap()
    }
}
impl<'a> Words for &'a str {
    fn read<T: Readable>(&self) -> T::Output {
        T::read_words(&[self]).unwrap()
    }
}

fn main() {
    let ans = vec![
        vec![1],
        vec![1, 1],
        vec![1, 2, 3],
        vec![1, 3, 7, 9, 4],
        vec![1, 4, 12, 24, 35, 24, 20],
        vec![1, 5, 18, 46, 93, 137, 148, 136, 100, 36],
        vec![1, 6, 25, 76, 187, 366, 591, 744, 884, 832, 716, 360, 252],
        vec![1, 7, 33, 115, 327, 765, 1523, 2553, 3696, 4852, 5708, 5892, 5452, 4212, 2844, 1764, 576],
        vec![1, 8, 42, 164, 524, 1400, 3226, 6436, 11323, 17640, 25472, 33280, 40520, 44240, 45512, 40608, 35496, 25632, 18108, 8064, 5184],
        vec![1, 9, 52, 224, 790, 2350, 6072, 13768, 27821, 50461, 83420, 127840, 182256, 242272, 301648, 350864, 382576, 389232, 373536, 332640, 273060, 208548, 136512, 81792, 46656, 14400],
        vec![1, 10, 63, 296, 1138, 3708, 10538, 26480, 59673, 121626, 226787, 390144, 628744, 949472, 1355952, 1826464, 2341600, 2833632, 3282464, 3584160, 3765600, 3719664, 3531924, 3093336, 2642364, 2010240, 1508544, 963072, 621504, 259200, 158400],
        vec![1, 11, 75, 381, 1582, 5582, 17222, 47194, 116457, 261163, 537459, 1022981, 1817652, 3040352, 4810720, 7230928, 10360160, 14178912, 18577792, 23327872, 28132048, 32571504, 36310464, 38903904, 40028724, 39552156, 37457388, 33941412, 29314944, 24179904, 18835776, 13777344, 9452736, 5716800, 3211200, 1742400, 518400],
        vec![1, 12, 88, 480, 2137, 8096, 26860, 79376, 211811, 515308, 1153268, 2391936, 4633331, 8438664, 14557048, 23874176, 37407760, 56117824, 80906752, 112162240, 150052400, 193572736, 241706624, 291576384, 341323776, 386160048, 424359540, 450394992, 464545584, 461528208, 446428476, 413557632, 373573440, 321120000, 268449408, 210332160, 162330624, 112550400, 77788800, 46540800, 28497600, 11404800, 6739200],
        vec![1, 13, 102, 594, 2819, 11391, 40344, 127508, 364587, 952559, 2293742, 5126898, 10710633, 21042989, 39117852, 69175664, 116857024, 189256368, 294745440, 442503456, 641759376, 900689616, 225195321, 617201401, 74227554, 586823330, 140227131, 711888699, 274217080, 795069832, 242715461, 585116357, 796764497, 861974465, 769155485, 525176285, 146566301, 650715556, 73773796, 455145195, 828946802, 226153586, 685663993, 216281593, 828705600, 536385600, 309484800, 166924800, 87609600, 25401600],
        vec![1, 14, 117, 724, 3645, 15626, 58741, 197280, 600215, 1671266, 4295107, 10259436, 22922995, 48184950, 95816051, 181136304, 327071752, 566117888, 942525072, 513281017, 349163810, 532145419, 154557773, 309226767, 88509354, 563257605, 789064441, 766807654, 474675580, 795689314, 599134613, 627066840, 658988947, 307608398, 337632800, 295701193, 44870369, 150212311, 705302359, 336038622, 452522163, 797367958, 62674553, 57993322, 777736994, 845298906, 452367755, 90655804, 810196653, 976943895, 564798323, 582118351, 994783972, 869862386, 697759993, 660441600, 381024000],
        vec![1, 15, 133, 871, 4633, 20979, 83313, 295803, 952299, 2809009, 7656027, 19414457, 46086247, 102967901, 217634463, 437195525, 838372452, 540635289, 722168530, 638311860, 640827391, 196046908, 898688562, 478199884, 793020369, 808862771, 562236075, 94791602, 385333320, 237794527, 197694759, 398043392, 504456766, 579736664, 78137089, 793367253, 961295251, 280517488, 179779783, 947563092, 901772777, 859566930, 199212409, 920781370, 362900807, 735004334, 297264154, 482748036, 653703312, 140400674, 623159781, 320434095, 373194802, 13313867, 205909676, 360223815, 570584277, 68075848, 372652149, 961247580, 23084534, 261139053, 151302323, 715359965, 625702393],
        vec![1, 16, 150, 1036, 5802, 27648, 115538, 431844, 1464468, 4554040, 13096378, 35069940, 87969166, 207781760, 464351910, 986188668, 998611836, 879505923, 237509223, 15110629, 621334822, 88677622, 257578542, 963016850, 235638961, 442107823, 429101453, 483004748, 329733855, 718448185, 266304376, 413950543, 256286771, 626720357, 318467482, 59069608, 81901162, 352730851, 104241055, 503595237, 956355036, 534522134, 457799859, 108929893, 887297322, 424614770, 265024591, 876853471, 515703045, 692038809, 210906163, 20070317, 468291405, 145357835, 797577421, 232358134, 747771239, 343859985, 833879609, 78548665, 289896769, 449285934, 313197004, 379603290, 397630660, 609910102, 442642726, 627950853, 722186028, 705163253, 998661511, 771071664, 636940611],
        vec![1, 17, 168, 1220, 7172, 35852, 157132, 616084, 2192506, 7159090, 21631676, 60902460, 160707468, 399489140, 939796228, 101060910, 481320121, 151453550, 952463061, 931694473, 957528293, 554162053, 990142499, 644946993, 651797781, 791594351, 556120466, 271969917, 107619398, 710253075, 280526462, 615698879, 99748930, 775178221, 257586036, 645364809, 806795120, 340635512, 801741075, 790520661, 68328385, 331513794, 351728404, 931812262, 91105169, 176869824, 445724501, 370449983, 359815736, 918724628, 869062973, 659791249, 657727222, 395793733, 32692523, 78858425, 151369211, 628504487, 842750087, 152091477, 889718876, 908002421, 944598446, 656459208, 712920845, 47550280, 92244967, 110652620, 951703750, 217822851, 901098263, 655149074, 861896271, 859184013, 992613245, 768042116, 807916959, 335381553, 909568095, 153171069, 827990317, 681893483],
        vec![1, 18, 187, 1424, 8764, 45832, 210072, 861400, 3206786, 10957868, 34666130, 102239488, 282743580, 736889224, 817936097, 262532028, 534038590, 412279142, 965109380, 86702267, 846482566, 945052509, 644517943, 548776024, 679330947, 152291502, 882910517, 188127435, 636778925, 902059202, 132531208, 193904122, 893705022, 246193070, 652079051, 958060250, 148697872, 504141990, 371410212, 807466717, 514477363, 565424570, 560794838, 11419155, 215137208, 665710713, 791504234, 359367396, 224050172, 509091270, 125989128, 782600310, 957126038, 667219607, 386301613, 605448653, 296557741, 618019404, 194294675, 222923480, 765962783, 743934970, 24324611, 512643153, 214242880, 286900578, 228877964, 91240846, 430467141, 533029377, 904804693, 373207899, 916503101, 83598539, 560288494, 363356684, 68282446, 152683809, 284461190, 124425011, 167972327, 428909487, 373215034, 420008537, 513304383, 874743039, 487193257, 97337408, 532639641, 184378261, 955976093],
        vec![1, 19, 207, 1649, 10600, 57852, 276620, 1183172, 4595034, 16384606, 54107670, 166643130, 481442164, 311240781, 381378831, 288429444, 380463632, 370477330, 171662912, 688513797, 626045604, 789881798, 844990830, 70546834, 230422087, 267733218, 970080423, 75064762, 104073936, 888990608, 393490487, 819401315, 362017415, 197941501, 97730360, 491049732, 790022455, 142301163, 381999002, 81566974, 255547256, 500580164, 503785886, 874661360, 953064009, 357278689, 416715628, 656421867, 311332859, 849655408, 575613107, 850236831, 533549113, 255339339, 611845477, 501164398, 135987981, 672393680, 678611757, 552403430, 470027818, 333312311, 203812034, 929380798, 133842121, 497262544, 839881753, 29703780, 133717366, 249364505, 959337844, 632980495, 72879056, 356819838, 662140760, 182352973, 260787823, 329159184, 423643610, 488600943, 164109163, 8143787, 184454683, 684285006, 693158498, 382122550, 488552031, 777204359, 564238497, 598675373, 603916585, 720234840, 93182262, 238936257, 486420235, 352604922, 958291193, 880928218, 736558676, 163545641, 189347824],
        vec![1, 20, 228, 1896, 12703, 72200, 359348, 1599616, 6465450, 23997032, 82508708, 264654080, 796563486, 260832418, 76986106, 528774007, 854313906, 307546108, 722735109, 61004626, 805619536, 18191861, 511411798, 993782454, 401030744, 633897378, 70862649, 96855526, 314416445, 92910833, 135520920, 492052755, 24334887, 643976444, 574388511, 317610455, 122930943, 637889505, 255461238, 950861369, 48876234, 149504663, 198682481, 942670278, 866921314, 563621302, 960474580, 980132644, 624295523, 399490883, 351714973, 945626033, 827908349, 157456205, 481861323, 472454109, 343580291, 683697065, 95059407, 841332348, 464714941, 596887160, 38681949, 757883329, 590303711, 64921694, 730086270, 15240461, 714742087, 32874447, 175996750, 277466516, 788882909, 11880203, 95097385, 778398376, 531252352, 479554466, 557013590, 609738833, 798714176, 859324339, 721484640, 268442938, 861267595, 806087188, 31691029, 950412807, 580575404, 849451646, 691790951, 264837637, 967322620, 365040170, 622467624, 456436788, 658680316, 60575186, 387550026, 215002020, 31349904, 449373833, 559514745, 640364153, 807042078, 450172023, 562637973, 109112418, 545193132, 195217263, 976304283],
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417637854, 201849275, 137988263, 703452509, 833173534, 774723430, 98520292, 647910333, 702073064, 101667724, 93613248, 4773372, 993672667, 598539625, 298728331, 547262186, 609550837, 42278975, 203431476, 764589375, 791435299, 273439277, 15186943, 247517820, 332116413, 672582410, 88991345, 573172714, 370502342, 495515460, 486357723, 529038430, 112617630, 9655079, 54905538, 630913486, 94540925, 694069860, 101033114, 601510215, 405093272, 877399916, 606786230, 712700446, 365826653, 440611748, 222502187, 628732942, 260127071, 415183336, 331627148, 603111841, 484627861, 252203062, 603610758, 918118836, 775502591, 558836403, 458735214, 903545723, 229008632, 239177179, 70767308, 751925156, 652119146, 980361868, 450630793, 63075950, 714904102, 795480239, 196855664, 446357279, 343343138, 751184330, 353543327, 265335039, 291055365, 141693974, 952501609, 772988967, 982806649, 295006336, 142133453, 389243658, 551050114, 837354729, 288032982, 926886748, 940810321, 996269340, 544323652, 123254721, 449847916, 164321665, 408440169, 540527971, 235735087, 384560805, 888470688, 711171300, 414716347, 219479361, 559050803, 610845133, 321258507, 296543705, 253557800, 771631909, 466270561, 966519146, 100544233, 474799959, 147649345, 956135303, 808272257, 279282920, 472357219, 422709994, 530025514, 999788009, 64593897, 709199531, 479060735, 311654131, 943520011, 427742758, 799287390, 782392773, 191335024, 830990096, 336010037, 237942831, 237453992, 695887098, 398366572, 529644737, 344086296, 862051533, 684436865, 317549101, 968659087, 366641438],
        vec![1, 49, 1272, 23124, 329180, 3895908, 39783804, 359447204, 925733384, 746545659, 165655001, 158091124, 719304162, 111160209, 171158550, 935012406, 874008903, 988755604, 608336289, 351327718, 211049418, 970686245, 441380023, 920727544, 396494781, 218114186, 934368772, 753990221, 203263446, 488226646, 946324350, 642441651, 816607227, 122420091, 629716118, 498106515, 488881569, 100763230, 814241373, 430998026, 986590664, 188596813, 238499794, 887765759, 719310391, 819612870, 840885905, 584773429, 811468143, 396065785, 368868801, 299761844, 617462619, 308704442, 206242421, 833439007, 106715469, 970135543, 972244832, 66232618, 207050932, 577078708, 955731123, 103929249, 632790957, 297717977, 280927805, 856143814, 140717794, 889342899, 570959166, 553036683, 311778062, 833874032, 321035571, 629235909, 60666525, 19636232, 889773198, 837811568, 283828621, 499062871, 459250525, 468391935, 389843786, 80632526, 462481073, 859711240, 66143264, 831825780, 518914304, 998480225, 496960804, 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    ];

    read!(n = usize, k = usize);
    if k % 2 == 1 {
        println!("0");
    } else if ans[n-1].len() <= k/2 {
        println!("0");
    } else {
        println!("{}", ans[n-1][k/2]);
    }
}


Measured memory_bytes: 4352