Problem p02715 (C++) — buggy submission, verdict: Runtime Error

#pragma GCC optimize("O3")

#include <algorithm>
#include <iostream>
#include <list>
#include <map>
#include <math.h>
#include <numeric>
#include <queue>
#include <set>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <unordered_map>
#include <unordered_set>
using namespace std;

using QWORD = uint64_t;
using SQWORD = int64_t;
using DWORD = uint32_t;
using SDWORD = int32_t;
using WORD = uint16_t;
using SWORD = int16_t;
using BYTE = uint8_t;
using SBYTE = int8_t;
using DOUBLE = double;
using FLOAT = float;

#define MIN_SDWORD (-2147483648)
#define MAX_SDWORD (2147483647)
#define MIN_SBYTE (-128)
#define MAX_SBYTE (127)

#define MIN_SQWORD (0x8000000000000000)
#define MAX_SQWORD (0x7FFFFFFFFFFFFFFF)

#define MAX_QWORD (0xFFFFFFFFFFFFFFFF)
#define MAX_DWORD (0xFFFFFFFF)
#define MAX_WORD (0xFFFF)
#define MAX_BYTE (0xFF)

#define MAX_DOUBLE (1.0e+308)
#define DOUBLE_EPS (1.0e-12)
#define MIN_DOUBLE_N (-1.0e+308)

#define ArrayLength(a) (sizeof(a) / sizeof(a[0]))

static inline DOUBLE MAX(DOUBLE a, DOUBLE b) { return a > b ? a : b; }
static inline QWORD MAX(QWORD a, QWORD b) { return a > b ? a : b; }
static inline DWORD MAX(DWORD a, DWORD b) { return a > b ? a : b; }
static inline SDWORD MAX(SDWORD a, SDWORD b) { return a > b ? a : b; }
static inline DOUBLE MIN(DOUBLE a, DOUBLE b) { return a < b ? a : b; }
static inline QWORD MIN(QWORD a, QWORD b) { return a < b ? a : b; }
static inline DWORD MIN(DWORD a, DWORD b) { return a < b ? a : b; }
static inline SDWORD MIN(SDWORD a, SDWORD b) { return a < b ? a : b; }
static inline DOUBLE ABS(DOUBLE a) { return 0 <= a ? a : -a; }

#define BYTE_BITS (8)
#define WORD_BITS (16)
#define DWORD_BITS (32)
#define QWORD_BITS (64)

static inline void inputStringSpSeparated(char *pcStr) {
  char *pcCur = pcStr;
  for (;;) {
    char c = getchar();
    if (('\\n' == c) || (EOF == c) || (' ' == c)) {
      break;
    }
    *pcCur = c;
    pcCur++;
  }
  *pcCur = '\\0';
}

static inline void inputString(char *pcStr) {
  char *pcCur = pcStr;
  for (;;) {
    char c = getchar();
    if (('\\n' == c) || (EOF == c)) {
      break;
    }
    *pcCur = c;
    pcCur++;
  }
  *pcCur = '\\0';
}

static inline SQWORD inputSQWORD(void) {
  SQWORD sqNumber = 0;
  SQWORD sqMultiplier = 1;
  bool bRead = false;
  for (;;) {
    char c = getchar();
    if (!bRead) {
      if ('-' == c) {
        sqMultiplier = -1;
      }
    }
    if (('0' <= c) && (c <= '9')) {
      sqNumber *= 10LL;
      sqNumber += (SQWORD)(c - '0');
      bRead = true;
    } else {
      if (bRead) {
        return sqNumber * sqMultiplier;
      }
    }
  }
}

static inline SDWORD inputSDWORD(void) {
  SDWORD lNumber = 0;
  SDWORD lMultiplier = 1;
  bool bRead = false;
  for (;;) {
    char c = getchar();
    if (!bRead) {
      if ('-' == c) {
        lMultiplier = -1;
      }
    }
    if (('0' <= c) && (c <= '9')) {
      lNumber *= 10;
      lNumber += (c - '0');
      bRead = true;
    } else {
      if (bRead) {
        return lNumber * lMultiplier;
      }
    }
  }
}

static inline DOUBLE inputFP(void) {
  DOUBLE dInt = 0.0;
  DOUBLE dFrac = 0.0;
  DOUBLE dMultiplier = 1.0;
  DWORD dwFpCnt = 0;
  DOUBLE *pdCur = &dInt;
  bool bRead = false;
  for (;;) {
    char c = getchar();
    if (!bRead) {
      if ('-' == c) {
        dMultiplier = -1;
      }
    }
    if ('.' == c) {
      pdCur = &dFrac;
    } else if (('0' <= c) && (c <= '9')) {
      (*pdCur) *= 10;
      (*pdCur) += (DOUBLE)(c - '0');
      bRead = true;
      if (pdCur == &dFrac) {
        dwFpCnt++;
      }
    } else {
      if (bRead) {
        return dMultiplier *
               (dInt + dFrac / (pow((DOUBLE)10.0, (DOUBLE)dwFpCnt)));
      }
    }
  }
}

/*----------------------------------------------*/
/**
 *  mod による操作ライブラリ
 */
#define ANS_MOD (1000000007)

class MODINT {
  static SQWORD MOD;
  SQWORD m_x;

public:
  MODINT(SQWORD val) { m_x = (val % MOD + MOD) % MOD; };
  MODINT() { m_x = 0; }
  static void Init(SQWORD sqMod) { MOD = sqMod; }

  MODINT &operator+=(const MODINT a) {
    m_x = (m_x + a.m_x) % MOD;
    return *this;
  };
  MODINT &operator-=(const MODINT a) {
    m_x = (m_x - a.m_x + MOD) % MOD;
    return *this;
  };
  MODINT &operator*=(const MODINT a) {
    m_x = (m_x * a.m_x) % MOD;
    return *this;
  };
  MODINT pow(SQWORD t) const {
    if (!t)
      return 1;
    MODINT a = pow(t >> 1);
    a *= a;
    if (t & 1)
      a *= *this;
    return a;
  }
  MODINT operator+(const MODINT a) const {
    MODINT res(*this);
    return (res += a);
  }
  MODINT operator-(const MODINT a) const {
    MODINT res(*this);
    return (res -= a);
  }
  MODINT operator*(const MODINT a) const {
    MODINT res(*this);
    return (res *= a);
  }
  MODINT operator/(const MODINT a) const {
    MODINT res(*this);
    return (res /= a);
  }

  /* 逆元 */
  MODINT inv() const { return pow(MOD - 2); }

  /* 除算 */
  MODINT &operator/=(const MODINT a) { return (*this) *= a.inv(); }

  /* 比較 */
  bool operator==(const MODINT a) { return (this->m_x == a.m_x); }

  /* 整数版 */
  MODINT &operator+=(const SQWORD a) {
    *this += MODINT(a);
    return *this;
  };
  MODINT &operator-=(const SQWORD a) {
    *this -= MODINT(a);
    return *this;
  };
  MODINT &operator*=(const SQWORD a) {
    *this *= MODINT(a);
    return *this;
  };
  MODINT &operator/=(const SQWORD a) {
    *this /= MODINT(a);
    return *this;
  };

  SQWORD getVal() { return m_x; };
};
SQWORD MODINT::MOD = ANS_MOD;

/*----------------------------------------------*/
static void printVector(vector<SQWORD> v) {
  for (auto m : v) {
    printf("%lld ", m);
  }
  printf("\\n");
}

/*-----------------------------------------------------*/

int main(void) {
  SQWORD sqN = inputSQWORD();
  SQWORD sqK = inputSQWORD();

  vector<MODINT> vmiPowTable(sqK + 1);
  vector<MODINT> vmiGcdTable(sqK + 1);
  for (auto it = vmiPowTable.begin(); it != vmiPowTable.end(); ++it) {
    *it = MODINT(0);
  }

  MODINT miAns;
  for (SQWORD sqGcd = sqK; 1 <= sqGcd; sqGcd--) {
    SQWORD sqUnitNum = sqK / sqGcd;
    MODINT miDivNum;

    if (vmiPowTable[sqUnitNum] == MODINT(0)) {
      MODINT tmp(sqUnitNum);
      vmiPowTable[sqUnitNum] = tmp.pow(sqN);
    }
    miDivNum = vmiPowTable[sqUnitNum];

    MODINT miGcdNum = miDivNum;
    {
      SQWORD sqMulCur = sqGcd * 2;
      while (sqMulCur <= sqK) {
        miGcdNum -= vmiGcdTable[sqMulCur];
        sqMulCur += sqGcd;
      }
    }
    vmiGcdTable[sqGcd] = miGcdNum;
    //        printf("%lld --- %lld\\n", sqGcd, miGcdNum);

    miAns += miGcdNum * MODINT(sqGcd);
  }
  printf("%lld\\n", miAns);

  return 0;
}

Error: 0

Fixed submission:

#pragma GCC optimize("O3")

#include <algorithm>
#include <iostream>
#include <list>
#include <map>
#include <math.h>
#include <numeric>
#include <queue>
#include <set>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <unordered_map>
#include <unordered_set>
using namespace std;

using QWORD = uint64_t;
using SQWORD = int64_t;
using DWORD = uint32_t;
using SDWORD = int32_t;
using WORD = uint16_t;
using SWORD = int16_t;
using BYTE = uint8_t;
using SBYTE = int8_t;
using DOUBLE = double;
using FLOAT = float;

#define MIN_SDWORD (-2147483648)
#define MAX_SDWORD (2147483647)
#define MIN_SBYTE (-128)
#define MAX_SBYTE (127)

#define MIN_SQWORD (0x8000000000000000)
#define MAX_SQWORD (0x7FFFFFFFFFFFFFFF)

#define MAX_QWORD (0xFFFFFFFFFFFFFFFF)
#define MAX_DWORD (0xFFFFFFFF)
#define MAX_WORD (0xFFFF)
#define MAX_BYTE (0xFF)

#define MAX_DOUBLE (1.0e+308)
#define DOUBLE_EPS (1.0e-12)
#define MIN_DOUBLE_N (-1.0e+308)

#define ArrayLength(a) (sizeof(a) / sizeof(a[0]))

static inline DOUBLE MAX(DOUBLE a, DOUBLE b) { return a > b ? a : b; }
static inline QWORD MAX(QWORD a, QWORD b) { return a > b ? a : b; }
static inline DWORD MAX(DWORD a, DWORD b) { return a > b ? a : b; }
static inline SDWORD MAX(SDWORD a, SDWORD b) { return a > b ? a : b; }
static inline DOUBLE MIN(DOUBLE a, DOUBLE b) { return a < b ? a : b; }
static inline QWORD MIN(QWORD a, QWORD b) { return a < b ? a : b; }
static inline DWORD MIN(DWORD a, DWORD b) { return a < b ? a : b; }
static inline SDWORD MIN(SDWORD a, SDWORD b) { return a < b ? a : b; }
static inline DOUBLE ABS(DOUBLE a) { return 0 <= a ? a : -a; }

#define BYTE_BITS (8)
#define WORD_BITS (16)
#define DWORD_BITS (32)
#define QWORD_BITS (64)

static inline void inputStringSpSeparated(char *pcStr) {
  char *pcCur = pcStr;
  for (;;) {
    char c = getchar();
    if (('\\n' == c) || (EOF == c) || (' ' == c)) {
      break;
    }
    *pcCur = c;
    pcCur++;
  }
  *pcCur = '\\0';
}

static inline void inputString(char *pcStr) {
  char *pcCur = pcStr;
  for (;;) {
    char c = getchar();
    if (('\\n' == c) || (EOF == c)) {
      break;
    }
    *pcCur = c;
    pcCur++;
  }
  *pcCur = '\\0';
}

static inline SQWORD inputSQWORD(void) {
  SQWORD sqNumber = 0;
  SQWORD sqMultiplier = 1;
  bool bRead = false;
  for (;;) {
    char c = getchar();
    if (!bRead) {
      if ('-' == c) {
        sqMultiplier = -1;
      }
    }
    if (('0' <= c) && (c <= '9')) {
      sqNumber *= 10LL;
      sqNumber += (SQWORD)(c - '0');
      bRead = true;
    } else {
      if (bRead) {
        return sqNumber * sqMultiplier;
      }
    }
  }
}

static inline SDWORD inputSDWORD(void) {
  SDWORD lNumber = 0;
  SDWORD lMultiplier = 1;
  bool bRead = false;
  for (;;) {
    char c = getchar();
    if (!bRead) {
      if ('-' == c) {
        lMultiplier = -1;
      }
    }
    if (('0' <= c) && (c <= '9')) {
      lNumber *= 10;
      lNumber += (c - '0');
      bRead = true;
    } else {
      if (bRead) {
        return lNumber * lMultiplier;
      }
    }
  }
}

static inline DOUBLE inputFP(void) {
  DOUBLE dInt = 0.0;
  DOUBLE dFrac = 0.0;
  DOUBLE dMultiplier = 1.0;
  DWORD dwFpCnt = 0;
  DOUBLE *pdCur = &dInt;
  bool bRead = false;
  for (;;) {
    char c = getchar();
    if (!bRead) {
      if ('-' == c) {
        dMultiplier = -1;
      }
    }
    if ('.' == c) {
      pdCur = &dFrac;
    } else if (('0' <= c) && (c <= '9')) {
      (*pdCur) *= 10;
      (*pdCur) += (DOUBLE)(c - '0');
      bRead = true;
      if (pdCur == &dFrac) {
        dwFpCnt++;
      }
    } else {
      if (bRead) {
        return dMultiplier *
               (dInt + dFrac / (pow((DOUBLE)10.0, (DOUBLE)dwFpCnt)));
      }
    }
  }
}

/*----------------------------------------------*/
/**
 *  mod による操作ライブラリ
 */
#define ANS_MOD (1000000007)

class MODINT {
  static SQWORD MOD;
  SQWORD m_x;

public:
  MODINT(SQWORD val) { m_x = (val % MOD + MOD) % MOD; };
  MODINT() { m_x = 0; }
  static void Init(SQWORD sqMod) { MOD = sqMod; }

  MODINT &operator+=(const MODINT a) {
    m_x = (m_x + a.m_x) % MOD;
    return *this;
  };
  MODINT &operator-=(const MODINT a) {
    m_x = (m_x - a.m_x + MOD) % MOD;
    return *this;
  };
  MODINT &operator*=(const MODINT a) {
    m_x = (m_x * a.m_x) % MOD;
    return *this;
  };
  MODINT pow(SQWORD t) const {
    if (!t)
      return 1;
    MODINT a = pow(t >> 1);
    a *= a;
    if (t & 1)
      a *= *this;
    return a;
  }
  MODINT operator+(const MODINT a) const {
    MODINT res(*this);
    return (res += a);
  }
  MODINT operator-(const MODINT a) const {
    MODINT res(*this);
    return (res -= a);
  }
  MODINT operator*(const MODINT a) const {
    MODINT res(*this);
    return (res *= a);
  }
  MODINT operator/(const MODINT a) const {
    MODINT res(*this);
    return (res /= a);
  }

  /* 逆元 */
  MODINT inv() const { return pow(MOD - 2); }

  /* 除算 */
  MODINT &operator/=(const MODINT a) { return (*this) *= a.inv(); }

  /* 比較 */
  bool operator==(const MODINT a) { return (this->m_x == a.m_x); }

  /* 整数版 */
  MODINT &operator+=(const SQWORD a) {
    *this += MODINT(a);
    return *this;
  };
  MODINT &operator-=(const SQWORD a) {
    *this -= MODINT(a);
    return *this;
  };
  MODINT &operator*=(const SQWORD a) {
    *this *= MODINT(a);
    return *this;
  };
  MODINT &operator/=(const SQWORD a) {
    *this /= MODINT(a);
    return *this;
  };

  SQWORD getVal() { return m_x; };
};
SQWORD MODINT::MOD = ANS_MOD;

/*----------------------------------------------*/
static void printVector(vector<SQWORD> v) {
  for (auto m : v) {
    printf("%lld ", m);
  }
  printf("\\n");
}

/*-----------------------------------------------------*/

int main(void) {
  SQWORD sqN = inputSQWORD();
  SQWORD sqK = inputSQWORD();

  vector<MODINT> vmiPowTable(sqK);
  vector<MODINT> vmiGcdTable(sqK);
  for (auto it = vmiPowTable.begin(); it != vmiPowTable.end(); ++it) {
    *it = MODINT(0);
  }

  MODINT miAns;
  for (SQWORD sqGcd = sqK; 1 <= sqGcd; sqGcd--) {
    SQWORD sqUnitNum = sqK / sqGcd;
    MODINT miDivNum;

    if (vmiPowTable[sqUnitNum] == MODINT(0)) {
      MODINT tmp(sqUnitNum);
      vmiPowTable[sqUnitNum] = tmp.pow(sqN);
    }
    miDivNum = vmiPowTable[sqUnitNum];

    MODINT miGcdNum = miDivNum;
    {
      SQWORD sqMulCur = sqGcd * 2;
      while (sqMulCur <= sqK) {
        miGcdNum -= vmiGcdTable[sqMulCur];
        sqMulCur += sqGcd;
      }
    }
    vmiGcdTable[sqGcd] = miGcdNum;
    //        printf("%lld --- %lld\\n", sqGcd, miGcdNum);

    miAns += miGcdNum * MODINT(sqGcd);
  }
  printf("%lld\\n", miAns);

  return 0;
}