#660541 (C++14) No.1050 Zero (Maximum)

• 問題: No.1050 Zero (Maximum)
• ユーザー: hamray
• 提出日時: 2021-05-26 14:13:56
• 言語: C++14 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 21 ms / 2,000 ms
• コード長: 5,447 bytes
• コンパイル時間: 1,948 ms
• コンパイル使用メモリ: 178,840 KB
• 実行使用メモリ: 5,248 KB
• 最終ジャッジ日時: 2024-10-15 10:03:04
• 合計ジャッジ時間: 2,848 ms
• ジャッジサーバーID （参考情報）: judge5 / judge3

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 5,248 KB
testcase_01	AC	2 ms; 5,248 KB
testcase_02	AC	6 ms; 5,248 KB
testcase_03	AC	5 ms; 5,248 KB
testcase_04	AC	14 ms; 5,248 KB
testcase_05	AC	14 ms; 5,248 KB
testcase_06	AC	7 ms; 5,248 KB
testcase_07	AC	8 ms; 5,248 KB
testcase_08	AC	3 ms; 5,248 KB
testcase_09	AC	5 ms; 5,248 KB
testcase_10	AC	18 ms; 5,248 KB
testcase_11	AC	13 ms; 5,248 KB
testcase_12	AC	2 ms; 5,248 KB
testcase_13	AC	2 ms; 5,248 KB
testcase_14	AC	2 ms; 5,248 KB
testcase_15	AC	2 ms; 5,248 KB
testcase_16	AC	19 ms; 5,248 KB
testcase_17	AC	21 ms; 5,248 KB

ソースコード

#include <bits/stdc++.h>
//#include <atcoder/all>
//using namespace atcoder;
#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")
 
using namespace std;
 
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<string> VS;
typedef pair<int, int> PII;
typedef pair<int, int> pii;
typedef pair<long long, long long> PLL;
typedef pair<int, PII> TIII;
 
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
 
 
#define FOR(i, s, n) for (int i = s; i < (int)n; ++i)
#define REP(i, n) FOR(i, 0, n)
#define rep(i, a, b) for (int i = a; i < (b); ++i)
#define trav(a, x) for (auto &a : x)
#define all(x) x.begin(), x.end()
 
#define MOD 1000000007
 
template<class T1, class T2> inline bool chmax(T1 &a, T2 b) {if (a < b) {a = b; return true;} return false;}
template<class T1, class T2> inline bool chmin(T1 &a, T2 b) {if (a > b) {a = b; return true;} return false;}
const double EPS = 1e-12, PI = acos(-1);
const double pi = 3.141592653589793238462643383279;
//ここから編集    
typedef string::const_iterator State;
ll GCD(ll a, ll b){
  return (b==0)?a:GCD(b, a%b);
}
ll LCM(ll a, ll b){
  return a/GCD(a, b) * b;
}
#include <vector>
#include <cassert>
#include <iostream>
template<int64_t mod>
struct Modint{
  int x;
  Modint(long y = 0) : x(y >= 0 ? y % mod : (mod - (-y) % mod)) {}

  Modint& operator++() {
    x++; 
    if(x == mod) x = 0;
    return *this;
  }

  Modint& operator--() {
    if(x == 0) x = mod;
    x--;
    return *this;
  }

  Modint& operator+=(const Modint& a) {
    x += a.x;
    if(x >= mod) x -= mod;
    return *this;
  }

  Modint& operator-=(const Modint& a) {
    x += mod - a.x;
    if(x >= mod) x -= mod;
    return *this;
  }

  Modint& operator*=(const Modint& a) {
    x = (1LL) * x * a.x % mod;
    return *this;
  }

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

  Modint operator+() const { return *this; }
  Modint operator-() const { return Modint(-x); }
  
  Modint operator+(const Modint& a) const { return Modint(*this) += a; }
  Modint operator-(const Modint& a) const { return Modint(*this) -= a; }
  Modint operator*(const Modint& a) const { return Modint(*this) *= a; }
  Modint operator/(const Modint& a) const { return Modint(*this) /= a; }
  Modint operator==(const Modint& a) const { return x == a.x; }
  Modint operator!=(const Modint& a) const { return x != a.x; }  
  Modint pow(long long n) const {
    Modint x = *this, r = 1;
    while(n) {
      if(n & 1) r *= x;
      x *= x;
      n >>= 1;
    }
    return r;
  }
  Modint inv() const { 
    int u = 1, v = 0, a = x, b = mod, t;
    while(b) {
      t = a / b;
      a -= t * b; swap(a, b);
      u -= t * v; swap(u, v);
    }
    return Modint(u);
  }

  friend std::ostream& operator<< (std::ostream& os, const Modint& a) {
    return os << a.x;
  }
};

template<typename T>
struct Matrix{

  int row, col;

  std::vector<std::vector<T>> A;
  Matrix() { row = col = 1; }
  Matrix(int h, int w, T val = 0) : row(h), col(w), A(row, std::vector<T>(col, val)){}
  Matrix(const std::vector<std::vector<T>> &v) : row(v.size()), col(v[0].size()), A(v){}
  
  int GetRow() const { return row; }
  int GetCol() const { return col; }
  
  const std::vector<T>& operator[](int i) const { return A[i]; }
        std::vector<T>& operator[](int i)       { return A[i]; }

  Matrix E(int n) {
    Matrix M(n, n);
    for(int i=0; i<n; i++) M[i][i] = 1;
    return M;
  }

  Matrix& operator+=(const Matrix& B) {
    int n = GetRow(), m = GetCol();
    assert(n == B.size()); assert(m == B[0].size());
    Matrix C(n, m);
    for(int i=0; i<n; i++) {
      for(int j=0; j<m; j++) {
        C[i][j] = A[i][j] + B[i][j];
      }
    }
    return *this = C;
  }

  Matrix& operator-=(const Matrix& B) {
    int n = GetRow(), m = GetCol();
    assert(n == B.size()); assert(m == B[0].size());
    Matrix C(n, m);
    for(int i=0; i<n; i++) {
      for(int j=0; j<m; j++) {
        C[i][j] = A[i][j] - B[i][j];
      }
    }
    return *this = C;
  }

  Matrix& operator*=(const Matrix& B) {
    int k = GetRow(), l = GetCol(), n = B.GetRow(), m = GetCol();
    assert(l == n);
    Matrix C(k, m);
    for(int i=0; i<k; i++) {
      for(int j=0; j<m; j++) {
        for(int k=0; k<n; k++) {
          C[i][j] += A[i][k] * B[k][j];
        }
      }
    }
    return *this = C;
  }

  Matrix& operator^=(long long n) {
    Matrix B = Matrix::E(GetRow());
    while(n > 0) {
      if(n&1) B = B * (*this);
      *this = (*this) * (*this);
      n >>= 1;
    }
    return *this = B;
  }

  Matrix operator+(const Matrix& B){ return Matrix(*this) += B; }
  Matrix operator-(const Matrix& B){ return Matrix(*this) -= B; }
  Matrix operator*(const Matrix& B){ return Matrix(*this) *= B; }
  Matrix operator^(long long n){ return Matrix(*this) ^= n; }

  friend std::ostream& operator<< (std::ostream& os, const Matrix& m) {
    for(int i=0; i<m.GetRow(); i++) {
      for(int j=0; j<m.GetCol(); j++) {
        if(j != 0) os << ' ';
        os << m.A[i][j];
      }
      os << '\n';
    }
    return os;
  }
};

int main()
{
  cin.tie(0);
  ios::sync_with_stdio(false);
  cout << fixed << setprecision(20);

  int M, K; cin >> M >> K;
  Matrix<Modint<1000000007>> m(M, M, 1);
  for(int i=0; i<M; i++) {
    for(int j=0; j<M; j++) {
      m[(i*j)%M][j] = m[(i*j)%M][j] + 1;
    }
  }
  auto m2 = m^K;
  cout << m2[0][0] << endl;
  return 0;
}