結果

問題 No.890 移調の限られた旋法
ユーザー risujirohrisujiroh
提出日時 2019-09-20 21:37:30
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 37 ms / 2,000 ms
コード長 3,364 bytes
コンパイル時間 1,990 ms
コンパイル使用メモリ 176,568 KB
実行使用メモリ 22,892 KB
最終ジャッジ日時 2024-09-14 16:51:19
合計ジャッジ時間 3,658 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge6
このコードへのチャレンジ
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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 2 ms
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 2 ms
5,376 KB
testcase_07 AC 2 ms
5,376 KB
testcase_08 AC 2 ms
5,376 KB
testcase_09 AC 2 ms
5,376 KB
testcase_10 AC 2 ms
5,376 KB
testcase_11 AC 2 ms
5,376 KB
testcase_12 AC 2 ms
5,376 KB
testcase_13 AC 35 ms
22,784 KB
testcase_14 AC 35 ms
22,872 KB
testcase_15 AC 35 ms
22,892 KB
testcase_16 AC 34 ms
22,656 KB
testcase_17 AC 32 ms
20,864 KB
testcase_18 AC 31 ms
20,864 KB
testcase_19 AC 21 ms
13,440 KB
testcase_20 AC 13 ms
9,728 KB
testcase_21 AC 5 ms
5,376 KB
testcase_22 AC 29 ms
18,032 KB
testcase_23 AC 33 ms
21,504 KB
testcase_24 AC 21 ms
13,696 KB
testcase_25 AC 6 ms
5,504 KB
testcase_26 AC 33 ms
22,016 KB
testcase_27 AC 37 ms
22,204 KB
testcase_28 AC 25 ms
15,424 KB
testcase_29 AC 16 ms
11,264 KB
testcase_30 AC 34 ms
20,816 KB
testcase_31 AC 21 ms
13,184 KB
testcase_32 AC 30 ms
19,456 KB
testcase_33 AC 31 ms
20,380 KB
testcase_34 AC 30 ms
20,352 KB
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp:11:20: warning: use of 'auto' in parameter declaration only available with '-std=c++20' or '-fconcepts'
   11 |   constexpr ModInt(auto x) : v(x >= 0 ? x % P : (P - -x % P) % P) {}
      |                    ^~~~
main.cpp:38:9: warning: use of 'auto' in parameter declaration only available with '-std=c++20' or '-fconcepts'
   38 |   M pow(auto n) const {
      |         ^~~~
main.cpp:44:22: warning: use of 'auto' in parameter declaration only available with '-std=c++20' or '-fconcepts'
   44 |   friend M operator*(auto l, M r) { return M(l) *= r; }
      |                      ^~~~
main.cpp:45:22: warning: use of 'auto' in parameter declaration only available with '-std=c++20' or '-fconcepts'
   45 |   friend M operator/(auto l, M r) { return M(l) /= r; }
      |                      ^~~~
main.cpp:46:22: warning: use of 'auto' in parameter declaration only available with '-std=c++20' or '-fconcepts'
   46 |   friend M operator+(auto l, M r) { return M(l) += r; }
      |                      ^~~~
main.cpp:47:22: warning: use of 'auto' in parameter declaration only available with '-std=c++20' or '-fconcepts'
   47 |   friend M operator-(auto l, M r) { return M(l) -= r; }
      |                      ^~~~
main.cpp:50:26: warning: use of 'auto' in parameter declaration only available with '-std=c++20' or '-fconcepts'
   50 |   friend bool operator==(auto l, M r) { return M(l) == r; }
      |                          ^~~~
main.cpp:51:26: warning: use of 'auto' in parameter declaration only available with '-std=c++20' or '-fconcepts'
   51 |   friend bool operator!=(auto l, M r) { return !(l == r); }
      |                          ^~~~

ソースコード

diff # 

#include <bits/stdc++.h>
using namespace std;
using lint = long long;
template<class T = int> using V = vector<T>;
template<class T = int> using VV = V< V<T> >;

template<unsigned P> struct ModInt {
  using M = ModInt;
  unsigned v;
  constexpr ModInt() : v(0) {}
  constexpr ModInt(auto x) : v(x >= 0 ? x % P : (P - -x % P) % P) {}
  constexpr ModInt(unsigned v, int) : v(v) {}
  static constexpr unsigned p() { return P; }
  M operator+() const { return *this; }
  M operator-() const { return {v ? P - v : 0, 0}; }
  explicit operator bool() const noexcept { return v; }
  bool operator!() const noexcept { return !(bool)*this; }
  M operator*(M r) const { return M(*this) *= r; }
  M operator/(M r) const { return M(*this) /= r; }
  M operator+(M r) const { return M(*this) += r; }
  M operator-(M r) const { return M(*this) -= r; }
  bool operator==(M r) const { return v == r.v; }
  bool operator!=(M r) const { return !(*this == r); }
  M& operator*=(M r) { v = (uint64_t)v * r.v % P; return *this; }
  M& operator/=(M r) { return *this *= r.inv(); }
  M& operator+=(M r) { if ((v += r.v) >= P) v -= P; return *this; }
  M& operator-=(M r) { if ((v += P - r.v) >= P) v -= P; return *this; }
  M inv() const {
    int a = v, b = P, x = 1, u = 0;
    while (b) {
      int q = a / b;
      swap(a -= q * b, b);
      swap(x -= q * u, u);
    }
    assert(a == 1);
    return x;
  }
  M pow(auto n) const {
    if (n < 0) return pow(-n).inv();
    M res = 1;
    for (M a = *this; n; a *= a, n >>= 1) if (n & 1) res *= a;
    return res;
  }
  friend M operator*(auto l, M r) { return M(l) *= r; }
  friend M operator/(auto l, M r) { return M(l) /= r; }
  friend M operator+(auto l, M r) { return M(l) += r; }
  friend M operator-(auto l, M r) { return M(l) -= r; }
  friend ostream& operator<<(ostream& os, M r) { return os << r.v; }
  friend istream& operator>>(istream& is, M& r) { lint x; is >> x; r = x; return is; }
  friend bool operator==(auto l, M r) { return M(l) == r; }
  friend bool operator!=(auto l, M r) { return !(l == r); }
};
using Mint = ModInt<(unsigned)1e9 + 7>;
V<Mint> fact, ifact, inv, powB;
void init(int n, int B = 2) {
  fact.resize(n + 1);
  fact[0] = 1;
  for (int i = 1; i <= n; ++i) {
    fact[i] = i * fact[i - 1];
  }
  ifact.resize(n + 1);
  ifact[n] = 1 / fact[n];
  for (int i = n; i > 0; --i) {
    ifact[i - 1] = i * ifact[i];
  }
  inv.resize(n + 1);
  inv[1] = 1;
  for (int i = 2; i <= n; ++i) {
    int q = Mint::p() / i;
    inv[i] = -q * inv[Mint::p() - i * q];
  }
  powB.resize(n + 1);
  powB[0] = 1;
  for (int i = 0; i < n; ++i) {
    powB[i + 1] = powB[i] * B;
  }
}
Mint comb(int n, int r) {
  if (r < 0 or r > n) return 0;
  return fact[n] * ifact[r] * ifact[n - r];
}

template<class Z> V<Z> divisor(Z n) {
  V<Z> res;
  Z i;
  for (i = 1; i * i < n; ++i) if (n % i == 0) res.push_back(i), res.push_back(n / i);
  if (i * i == n) res.push_back(i);
  sort(begin(res), end(res));
  return res;
}

int main() {
  cin.tie(nullptr); ios::sync_with_stdio(false);
  int n, k; cin >> n >> k;
  init(n);
  V<Mint> dp(n);
  auto ds = divisor(n);
  for (int d : ds) if (d < n) {
    if (k % (n / d)) continue;
    int m = k / (n / d);
    dp[d] = comb(d, m);
    for (int i : ds) if (i < d and d % i == 0) {
      dp[d] -= dp[i];
    }
  }
  Mint res = accumulate(begin(dp), end(dp), Mint(0));
  cout << res << '\n';
}
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