結果

問題 No.828 全方位神童数
ユーザー risujiroh
提出日時 2019-05-11 15:55:37
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 161 ms / 2,000 ms
コード長 3,182 bytes
コンパイル時間 1,642 ms
コンパイル使用メモリ 176,200 KB
実行使用メモリ 22,224 KB
最終ジャッジ日時 2024-07-02 01:14:39
合計ジャッジ時間 6,581 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge3
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 * 43
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>;

struct UnionFind {
  const int n;
  V<> t, a; // root ? -sz : par
  UnionFind(int n) : n(n), t(n, -1), a(n) {}
  int find(int v) const { return t[v] < 0 ? v : find(t[v]); }
  void unite(int u, int v) {
    if ((u = find(u)) == (v = find(v))) return;
    if (-t[u] < -t[v]) swap(u, v);
    t[u] += t[v];
    t[v] = u;
    a[v] -= a[u];
  }
  void dfs(int v) {
    static VV<> ch;
    if (ch.empty()) {
      ch.resize(n);
      for (int v = 0; v < n; ++v) if (t[v] >= 0) {
        ch[t[v]].push_back(v);
      }
    }
    for (int w : ch[v]) {
      a[w] += a[v];
      dfs(w);
    }
  }
};

int main() {
  cin.tie(nullptr); ios::sync_with_stdio(false);
  int n; cin >> n;
  V<> r(n); for (auto&& e : r) cin >> e;
  VV<> g(n);
  for (int i = 0; i < n - 1; ++i) {
    int u, v; cin >> u >> v, --u, --v;
    g[u].push_back(v);
    g[v].push_back(u);
  }
  UnionFind uf(n);
  for (int v = 0; v < n; ++v) {
    for (int w : g[v]) if (w < v) {
      uf.unite(v, w);
    }
    ++uf.a[uf.find(v)];
  }
  uf.dfs(uf.find(0));
  Mint res = 1;
  for (int v = 0; v < n; ++v) res *= r[v] + uf.a[v];
  cout << res << '\n';
}
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