結果
問題 | No.117 組み合わせの数 |
ユーザー | はまやんはまやん |
提出日時 | 2017-06-18 16:49:08 |
言語 | C++14 (gcc 12.3.0 + boost 1.83.0) |
結果 |
RE
|
実行時間 | - |
コード長 | 3,387 bytes |
コンパイル時間 | 1,695 ms |
コンパイル使用メモリ | 173,276 KB |
実行使用メモリ | 13,244 KB |
最終ジャッジ日時 | 2024-10-01 20:19:59 |
合計ジャッジ時間 | 3,763 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge4 |
(要ログイン)
ソースコード
#include<bits/stdc++.h> #define rep(i,a,b) for(int i=a;i<b;i++) using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); } //--------------------------------------------------------------------------------------------------- template<int MOD> struct ModInt { static const int Mod = MOD; unsigned x; ModInt() : x(0) { } ModInt(signed sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; } ModInt(signed long long sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; } int get() const { return (int)x; } ModInt &operator+=(ModInt that) { if ((x += that.x) >= MOD) x -= MOD; return *this; } ModInt &operator-=(ModInt that) { if ((x += MOD - that.x) >= MOD) x -= MOD; return *this; } ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } ModInt operator/(ModInt that) const { return ModInt(*this) /= that; } ModInt inverse() const { long long a = x, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); } return ModInt(u); } bool operator==(ModInt that) const { return x == that.x; } bool operator!=(ModInt that) const { return x != that.x; } ModInt operator-() const { ModInt t; t.x = x == 0 ? 0 : Mod - x; return t; } }; template<int MOD> ModInt<MOD> operator^(ModInt<MOD> a, unsigned long long k) { ModInt<MOD> r = 1; while (k) { if (k & 1) r *= a; a *= a; k >>= 1; } return r; } template<typename T, int FAC_MAX> struct Comb { vector<T> fac, ifac; Comb() {fac.resize(FAC_MAX, 1); ifac.resize(FAC_MAX, 1);rep(i, 1, FAC_MAX) fac[i] = fac[i - 1] * i; rep(i, 1, FAC_MAX) ifac[i] = T(1) / fac[i];} T aPb(int a, int b) { if (b < 0 || a < b) return T(0); return fac[a] * ifac[a - b]; } T aCb(int a, int b) { if (b < 0 || a < b) return T(0); return fac[a] * ifac[a - b] * ifac[b]; } T nHk(int n, int k) { if (n == 0 && k == 0) return T(1); if (n <= 0 || k < 0) return 0; return aCb(n + k - 1, k); } }; typedef ModInt<1000000007> mint; /*--------------------------------------------------------------------------------------------------- ∧_∧ ∧_∧ (´<_` ) Welcome to My Coding Space! ( ´_ゝ`) / ⌒i / \ | | / / ̄ ̄ ̄ ̄/ | __(__ニつ/ _/ .| .|____ \/____/ (u ⊃ ---------------------------------------------------------------------------------------------------*/ Comb<mint, 1010101> com; //--------------------------------------------------------------------------------------------------- void _main() { int T; cin >> T; rep(t, 0, T) { string s; cin >> s; char c; int x, y; sscanf(s.c_str(), "%c(%d,%d)", &c, &x, &y); mint ans; if (c == 'C') ans = com.aCb(x, y); else if (c == 'P') ans = com.aPb(x, y); else ans = com.nHk(x, y); printf("%d\n", ans.get()); } }