結果

問題 No.856 増える演算
コンテスト
ユーザー risujiroh
提出日時 2019-07-26 22:43:51
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
WA  
実行時間 -
コード長 5,116 bytes
コンパイル時間 2,610 ms
コンパイル使用メモリ 188,836 KB
実行使用メモリ 34,140 KB
最終ジャッジ日時 2024-07-02 08:36:21
合計ジャッジ時間 12,481 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 79 WA * 1
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:11:10: warning: use of 'auto' in parameter declaration only available with '-std=c++20' or '-fconcepts'
   11 |   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;
  ModInt() : v(0) {}
  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>;

using R = double;
constexpr R pi = acos((R) -1);
using C = complex<R>;
C& operator*=(C& l, const C& r) {
  return l = {real(l) * real(r) - imag(l) * imag(r), real(l) * imag(r) + imag(l) * real(r)};
}
void fft(V<C>& a, bool inv = false) {
  int n = a.size();
  int j = 0;
  for (int i = 1; i < n; ++i) {
    int w = n >> 1;
    while (j >= w) j -= w, w >>= 1;
    j += w;
    if (i < j) swap(a[i], a[j]);
  }
  static VV<C> xi(30);
  for (int k = 0; 1 << k < n; ++k) if (xi[k].empty()) {
    xi[k].resize(1 << k);
    for (int i = 0; i < 1 << k; ++i) {
      xi[k][i] = polar<R>(1, i * pi / (1 << k));
    }
  }
  for (int k = 0; 1 << k < n; ++k) {
    const int w = 1 << k;
    for (int s = 0; s < n; s += 2 * w) {
      for (int i = s; i < s + w; ++i) {
        j = i + w;
        a[j] *= inv ? conj(xi[k][i - s]) : xi[k][i - s];
        tie(a[i], a[j]) = make_pair(a[i] + a[j], a[i] - a[j]);
      }
    }
  }
}
template<int K = 15> void multiply(V<Mint>& a, V<Mint> b) {
  if (a.empty() or b.empty()) {
    a = {};
    return;
  }
  int n = 1 << __lg(2 * (a.size() + b.size() - 1) - 1);
  V<C> f(n), g(n);
  for (int i = 0; i < n; ++i) {
    if (i < (int) a.size()) f[i].real(a[i].v & ~(~0 << K)), f[i].imag(a[i].v >> K);
    if (i < (int) b.size()) g[i].real(b[i].v & ~(~0 << K)), g[i].imag(b[i].v >> K);
  }
  fft(f), fft(g);
  V<C> Al(n), Au(n), Bl(n), Bu(n);
  for (int i = 0; i < n; ++i) {
    Al[i] = (f[i] + conj(f[-i & n - 1])) / C(2, 0);
    Au[i] = (f[i] - conj(f[-i & n - 1])) / C(0, 2);
    Bl[i] = (g[i] + conj(g[-i & n - 1])) / C(2, 0);
    Bu[i] = (g[i] - conj(g[-i & n - 1])) / C(0, 2);
  }
  for (int i = 0; i < n; ++i) {
    f[i] = Al[i] * Bl[i] + C(0, 1) * Al[i] * Bu[i];
    g[i] = Au[i] * Bl[i] + C(0, 1) * Au[i] * Bu[i];
  }
  fft(f, true), fft(g, true);
  a.resize(a.size() + b.size() - 1);
  for (int i = 0; i < (int) a.size(); ++i) {
    lint l = real(f[i]) / n + 0.5;
    lint m = (imag(f[i]) + real(g[i])) / n + 0.5;
    lint u = imag(g[i]) / n + 0.5;
    a[i] = l + m * Mint(1 << K) + u * Mint(1 << 2 * K);
  }
}

int main() {
  cin.tie(nullptr); ios::sync_with_stdio(false);
  int n; cin >> n;
  V<> a(n); for (auto&& e : a) cin >> e;
  Mint res = 1;
  {
    V<Mint> c(1e5 + 1);
    for (int e : a) c[e] += 1;
    multiply(c, c);
    for (int e : a) c[2 * e] -= 1;
    for (auto&& e : c) e /= 2;
    for (int i = 2; i <= 2e5; ++i) if (c[i]) {
      res *= Mint(i).pow(c[i].v);
    }
  }
  {
    V<lint> c(n + 1);
    for (int i = n - 1; i >= 0; --i) c[i] += a[i] + c[i + 1];
    for (int i = 0; i < n; ++i) {
      res *= Mint(a[i]).pow(c[i + 1]);
    }
  }
  {
    auto mn = a;
    for (int i = n - 2; i >= 0; --i) mn[i] = min(a[i], mn[i + 1]);
    int mi = -1;
    {
      long double x = 1e10;
      for (int i = 0; i < n - 1; ++i) {
        long double curr = log((long double)a[i] + mn[i + 1]) + mn[i + 1] * log((long double)a[i]);
        if (curr < x) {
          x = curr;
          mi = i;
        }
      }
    }
    res /= (a[mi] + mn[mi + 1]) * Mint(a[mi]).pow(mn[mi + 1]);
  }
  cout << res << '\n';
}
0