結果

問題 No.1035 Color Box
ユーザー kyo1kyo1
提出日時 2020-05-12 20:07:19
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 13 ms / 2,000 ms
コード長 6,790 bytes
コンパイル時間 1,765 ms
コンパイル使用メモリ 168,564 KB
実行使用メモリ 4,476 KB
最終ジャッジ日時 2023-10-11 21:36:23
合計ジャッジ時間 4,472 ms
ジャッジサーバーID
(参考情報)
judge14 / judge11
このコードへのチャレンジ(β)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 13 ms
4,364 KB
testcase_01 AC 2 ms
4,348 KB
testcase_02 AC 1 ms
4,352 KB
testcase_03 AC 2 ms
4,352 KB
testcase_04 AC 4 ms
4,348 KB
testcase_05 AC 2 ms
4,348 KB
testcase_06 AC 2 ms
4,348 KB
testcase_07 AC 4 ms
4,348 KB
testcase_08 AC 12 ms
4,348 KB
testcase_09 AC 7 ms
4,348 KB
testcase_10 AC 2 ms
4,352 KB
testcase_11 AC 2 ms
4,352 KB
testcase_12 AC 2 ms
4,348 KB
testcase_13 AC 10 ms
4,348 KB
testcase_14 AC 11 ms
4,356 KB
testcase_15 AC 13 ms
4,476 KB
testcase_16 AC 1 ms
4,348 KB
testcase_17 AC 2 ms
4,348 KB
testcase_18 AC 2 ms
4,348 KB
testcase_19 AC 13 ms
4,352 KB
testcase_20 AC 2 ms
4,348 KB
testcase_21 AC 1 ms
4,352 KB
testcase_22 AC 2 ms
4,352 KB
testcase_23 AC 1 ms
4,348 KB
testcase_24 AC 2 ms
4,348 KB
testcase_25 AC 2 ms
4,352 KB
testcase_26 AC 2 ms
4,348 KB
testcase_27 AC 2 ms
4,352 KB
testcase_28 AC 2 ms
4,352 KB
testcase_29 AC 1 ms
4,352 KB
testcase_30 AC 1 ms
4,352 KB
testcase_31 AC 2 ms
4,348 KB
testcase_32 AC 2 ms
4,352 KB
testcase_33 AC 2 ms
4,348 KB
testcase_34 AC 2 ms
4,348 KB
testcase_35 AC 2 ms
4,348 KB
testcase_36 AC 2 ms
4,348 KB
testcase_37 AC 1 ms
4,352 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

#include <bits/stdc++.h>

using namespace std;

template <typename T>
T inverse(T a, T m) {
  T u = 0, v = 1;
  while (a != 0) {
    T t = m / a;
    m -= t * a;
    u -= t * v;
    std::swap(a, m);
    std::swap(u, v);
  }
  assert(m == 1);
  return u;
}

template <typename T>
class Modular {
 public:
  using Type = typename std::decay<decltype(T::value)>::type;

  constexpr Modular() : value() {}
  template <typename U>
  Modular(const U &x) : value(normalize(x)) {}

  template <typename U>
  Type normalize(const U &x) {
    Type v;
    if (-mod() <= x && x < mod()) {
      v = static_cast<Type>(x);
    } else {
      v = static_cast<Type>(x % mod());
    }
    if (v < 0) v += mod();
    return v;
  }

  const Type &operator()() const { return value; }
  template <typename U>
  explicit operator U() const {
    return static_cast<U>(value);
  }
  constexpr static Type mod() { return T::value; }

  Modular &operator+=(const Modular &rhs) {
    if ((value += rhs.value) >= mod()) value -= mod();
    return *this;
  }
  Modular &operator-=(const Modular &rhs) {
    if ((value -= rhs.value) < 0) value += mod();
    return *this;
  }

  template <typename U>
  Modular &operator+=(const U &rhs) {
    return *this += Modular(rhs);
  }
  template <typename U>
  Modular &operator-=(const U &rhs) {
    return *this -= Modular(rhs);
  }

  Modular &operator++() { return *this += 1; }
  Modular &operator--() { return *this -= 1; }

  Modular operator++(int) {
    Modular res(*this);
    *this += 1;
    return res;
  }
  Modular operator--(int) {
    Modular res(*this);
    *this -= 1;
    return res;
  }

  template <typename U = T>
  typename enable_if<std::is_same<typename Modular<U>::Type, int>::value,
                     Modular>::type &
  operator*=(const Modular &rhs) {
    value = normalize(static_cast<int64_t>(value) *
                      static_cast<int64_t>(rhs.value));
    return *this;
  }
  template <typename U = T>
  typename enable_if<
      std::is_same<typename Modular<U>::Type, int64_t>::value ||
          std::is_same<typename Modular<U>::Type, std::int_fast64_t>::value,
      Modular>::type &
  operator*=(const Modular &rhs) {
    value = normalize(static_cast<__int128>(value) *
                      static_cast<__int128>(rhs.value));
    return *this;
  }

  Modular &operator/=(const Modular &rhs) {
    return *this *= Modular(inverse(rhs.value, mod()));
  }

  template <typename U>
  friend bool operator==(const Modular<U> &lhs, const Modular<U> &rhs);

  template <typename U>
  friend bool operator<(const Modular<U> &lhs, const Modular<U> &rhs);
  template <typename U>
  friend bool operator>(const Modular<U> &lhs, const Modular<U> &rhs);

  template <typename U>
  friend std::istream &operator>>(std::istream &stream, Modular<U> &rhs);
  template <typename U>
  friend std::ostream &operator<<(std::ostream &stream, const Modular<U> &rhs);

 private:
  Type value;
};

template <typename T>
bool operator==(const Modular<T> &lhs, const Modular<T> &rhs) {
  return lhs.value == rhs.value;
}
template <typename T, typename U>
bool operator==(const Modular<T> &lhs, U rhs) {
  return lhs == Modular<T>(rhs);
}
template <typename T, typename U>
bool operator==(U lhs, const Modular<T> &rhs) {
  return Modular<T>(lhs) == rhs;
}

template <typename T>
bool operator!=(const Modular<T> &lhs, const Modular<T> &rhs) {
  return !(lhs == rhs);
}
template <typename T, typename U>
bool operator!=(const Modular<T> &lhs, U rhs) {
  return !(lhs == rhs);
}
template <typename T, typename U>
bool operator!=(U lhs, const Modular<T> &rhs) {
  return !(lhs == rhs);
}

template <typename T>
bool operator<(const Modular<T> &lhs, const Modular<T> &rhs) {
  return lhs.value < rhs.value;
}

template <typename T>
bool operator>(const Modular<T> &lhs, const Modular<T> &rhs) {
  return lhs.value > rhs.value;
}

template <typename T>
Modular<T> operator+(const Modular<T> &lhs, const Modular<T> &rhs) {
  return Modular<T>(lhs) += rhs;
}
template <typename T, typename U>
Modular<T> operator+(const Modular<T> &lhs, U rhs) {
  return Modular<T>(lhs) += rhs;
}
template <typename T, typename U>
Modular<T> operator+(U lhs, const Modular<T> &rhs) {
  return Modular<T>(lhs) += rhs;
}

template <typename T>
Modular<T> operator-(const Modular<T> &lhs, const Modular<T> &rhs) {
  return Modular<T>(lhs) -= rhs;
}
template <typename T, typename U>
Modular<T> operator-(const Modular<T> &lhs, U rhs) {
  return Modular<T>(lhs) -= rhs;
}
template <typename T, typename U>
Modular<T> operator-(U lhs, const Modular<T> &rhs) {
  return Modular<T>(lhs) -= rhs;
}

template <typename T>
Modular<T> operator*(const Modular<T> &lhs, const Modular<T> &rhs) {
  return Modular<T>(lhs) *= rhs;
}
template <typename T, typename U>
Modular<T> operator*(const Modular<T> &lhs, U rhs) {
  return Modular<T>(lhs) *= rhs;
}
template <typename T, typename U>
Modular<T> operator*(U lhs, const Modular<T> &rhs) {
  return Modular<T>(lhs) *= rhs;
}

template <typename T>
Modular<T> operator/(const Modular<T> &lhs, const Modular<T> &rhs) {
  return Modular<T>(lhs) /= rhs;
}
template <typename T, typename U>
Modular<T> operator/(const Modular<T> &lhs, U rhs) {
  return Modular<T>(lhs) /= rhs;
}
template <typename T, typename U>
Modular<T> operator/(U lhs, const Modular<T> &rhs) {
  return Modular<T>(lhs) /= rhs;
}

template <typename T, typename U>
Modular<T> power(const Modular<T> &a, const U &b) {
  assert(b >= 0);
  Modular<T> x = a, res = 1;
  U n = b;
  while (n > 0) {
    if (n & 1) res *= x;
    x *= x;
    n >>= 1;
  }
  return res;
}

template <typename T>
std::istream &operator>>(std::istream &stream, Modular<T> &rhs) {
  typename common_type<typename Modular<T>::Type, int64_t>::type x;
  stream >> x;
  rhs = Modular<T>(x);
  return stream;
}

template <typename T>
std::ostream &operator<<(std::ostream &stream, const Modular<T> &rhs) {
  stream << rhs.value;
  return stream;
}

constexpr int mod = 1000000007;
using mint =
    Modular<std::integral_constant<std::decay<decltype(mod)>::type, mod>>;

template <typename T>
class Combination {
 private:
  vector<T> f, invf;

 public:
  Combination(int n) : f(n + 1, 1), invf(n + 1, 1) {
    for (int i = 1; i < n + 1; i++) {
      f[i] = f[i - 1] * i;
    }
    invf[n] /= f[n];
    for (int i = n; i > 0; i--) {
      invf[i - 1] = invf[i] * i;
    }
  }

  // nCr
  const T operator()(int n, int r) const {
    if (r < 0 || n < r) return 0;
    return f[n] * invf[r] * invf[n - r];
  }
};

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int N, M;
  cin >> N >> M;
  Combination<mint> comb(N);
  vector<mint> memo(M + 1, 0);
  for (int i = 1; i < M + 1; i++) {
    memo[i] = comb(M, i) * power(static_cast<mint>(i), N) - memo[i - 1];
  }
  cout << memo[M] << '\n';
  return 0;
}
0