結果

問題 No.886 Direct
ユーザー risujirohrisujiroh
提出日時 2019-09-13 23:41:54
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 148 ms / 4,000 ms
コード長 2,873 bytes
コンパイル時間 1,726 ms
コンパイル使用メモリ 172,704 KB
実行使用メモリ 26,756 KB
最終ジャッジ日時 2024-07-04 10:35:38
合計ジャッジ時間 3,855 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge5
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
6,816 KB
testcase_01 AC 2 ms
6,940 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 AC 3 ms
6,940 KB
testcase_04 AC 2 ms
6,940 KB
testcase_05 AC 2 ms
6,944 KB
testcase_06 AC 2 ms
6,944 KB
testcase_07 AC 2 ms
6,944 KB
testcase_08 AC 2 ms
6,940 KB
testcase_09 AC 2 ms
6,940 KB
testcase_10 AC 2 ms
6,940 KB
testcase_11 AC 2 ms
6,940 KB
testcase_12 AC 2 ms
6,940 KB
testcase_13 AC 2 ms
6,940 KB
testcase_14 AC 2 ms
6,940 KB
testcase_15 AC 2 ms
6,940 KB
testcase_16 AC 2 ms
6,940 KB
testcase_17 AC 2 ms
6,944 KB
testcase_18 AC 3 ms
6,940 KB
testcase_19 AC 2 ms
6,944 KB
testcase_20 AC 2 ms
6,944 KB
testcase_21 AC 2 ms
6,944 KB
testcase_22 AC 3 ms
6,940 KB
testcase_23 AC 22 ms
6,944 KB
testcase_24 AC 49 ms
10,880 KB
testcase_25 AC 21 ms
6,944 KB
testcase_26 AC 17 ms
6,940 KB
testcase_27 AC 82 ms
16,360 KB
testcase_28 AC 85 ms
16,724 KB
testcase_29 AC 2 ms
6,940 KB
testcase_30 AC 2 ms
6,940 KB
testcase_31 AC 147 ms
26,756 KB
testcase_32 AC 148 ms
26,644 KB
testcase_33 AC 146 ms
26,688 KB
testcase_34 AC 146 ms
26,488 KB
testcase_35 AC 145 ms
26,508 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<> factor, mbs;
void init(int n) {
  factor.resize(n + 1, -1);
  iota(begin(factor) + 2, end(factor), 2);
  for (int p = 2; p * p <= n; ++p) if (factor[p] == p) {
    for (int i = p * p; i <= n; i += p) if (factor[i] == i) {
      factor[i] = p;
    }
  }
  mbs.resize(n + 1);
  mbs[1] = 1;
  for (int i = 2; i <= n; ++i) {
    if (factor[i] == factor[i / factor[i]]) mbs[i] = 0;
    else mbs[i] = -mbs[i / factor[i]];
  }
}

int main() {
  cin.tie(nullptr); ios::sync_with_stdio(false);
  lint h, w; cin >> h >> w;
  init(min(h, w));
  Mint res = h * (w - 1) + w * (h - 1);
  for (lint d = 1; d < min(h, w); ++d) {
    lint x = (w - 1) / d, y = (h - 1) / d;
    res += mbs[d] * 2 * Mint(w * x - d * x * (x + 1) / 2) * Mint(h * y - d * y * (y + 1) / 2);
  }
  cout << res << '\n';
}
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