結果

問題 No.117 組み合わせの数
ユーザー veqccveqcc
提出日時 2020-04-01 19:42:22
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 323 ms / 5,000 ms
コード長 4,766 bytes
コンパイル時間 565 ms
コンパイル使用メモリ 71,100 KB
実行使用メモリ 50,064 KB
最終ジャッジ日時 2023-09-09 11:35:08
合計ジャッジ時間 1,730 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge11
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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 323 ms
50,064 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <iostream>
#include <vector>
typedef long long ll;
using namespace std;
const ll MOD = 1000000007LL;

template <ll mod> class ModInt {
    ll a;
public:
    constexpr ModInt(const ll a = 0) noexcept : a((a % mod + mod) % mod) {}
    constexpr ll &value() noexcept { return a; }
    constexpr ModInt operator + (const ModInt &rhs) const noexcept { return ModInt(*this) += rhs; }
    constexpr ModInt operator - (const ModInt &rhs) const noexcept { return ModInt(*this) -= rhs; }
    constexpr ModInt operator * (const ModInt &rhs) const noexcept { return ModInt(*this) *= rhs; }
    constexpr ModInt operator / (const ModInt &rhs) const noexcept { return ModInt(*this) /= rhs; }
    constexpr ModInt &operator += (const ModInt &rhs) noexcept {
        a += rhs.a;
        if (a >= mod) a -= mod;
        return *this;
    }
    constexpr ModInt &operator -= (const ModInt &rhs) noexcept {
        a += mod - rhs.a;
        if (a >= mod) a -= mod;
        return *this;
    }
    constexpr ModInt &operator *= (const ModInt &rhs) noexcept {
        a = a * rhs.a % mod;
        return *this;
    }
    constexpr ModInt pow(ll t) const noexcept {
        if (t == 0) return 1;
        auto ret = pow(t >> 1);
        ret *= ret;
        if (t & 1) ret *= *this;
        return ret;
    }
    constexpr ModInt inv() const noexcept { return pow(mod - 2); }
    constexpr ModInt operator /=(const ModInt &rhs) { return (*this) *= rhs.inv(); }
    constexpr bool operator == (const ModInt &rhs) const noexcept { return this->a == rhs.a; }
    constexpr bool operator != (const ModInt &rhs) const noexcept { return this->a != rhs.a; }
    friend constexpr ostream &operator << (ostream &os, const ModInt &rhs) noexcept { return os << rhs.a; }
    friend constexpr istream &operator >> (istream &is, ModInt &rhs) {
        is >> rhs.a;
        return is;
    }
};
using mint = ModInt<MOD>;

class Combination {
public:
    vector <mint> fac, inv, fiv;
    Combination(int N) : fac(N + 1), inv(N + 1), fiv(N + 1) {
        fac[0] = inv[0] = fiv[0] = fac[1] = inv[1] = fiv[1] = 1;
        for (ll i = 2; i <= N; i++) {
            fac[i] = fac[i - 1] * i; // n!
            inv[i] = inv[MOD % i] * (MOD - MOD / i); // n^-1
            fiv[i] = fiv[i - 1] * inv[i]; // (n!)^-1
        }
    }
    mint C(ll n, ll k) {
        if (k < 0 || n < k) return 0;
        return fac[n] * fiv[k] * fiv[n - k];
    }
    mint P(ll n, ll k) {
        if (k < 0 || n < k) return 0;
        return fac[n] * fiv[n - k];
    }
    mint H(ll n, ll k) {
        if (n == 0 && k == 0) return 1;
        return C(n + k - 1, k - 1);
    }
};


// verified
//   https://yukicoder.me/problems/no/117
void yuki117() {
    int T;
    cin >> T;
    Combination com(2000005);
    for (int t = 0; t < T; t++) {
        string s;
        cin >> s;
        int n = 0, k = 0, i = 2;
        while (s[i] != ',') { n *= 10; n += s[i++] - '0'; }
        i++;
        while (s[i] != ')') { k *= 10; k += s[i++] - '0'; }
        if (s[0] == 'C') cout << com.C(n, k) << "\n";
        else if (s[0] == 'P') cout << com.P(n, k) << "\n";
        else cout << com.H(k, n) << "\n";
    }
}


//// verified
////   https://onlinejudge.u-aizu.ac.jp/courses/library/7/DPL/all/DPL_5_B
//void AOJ_DPL_5_B() {
//    int n, k;
//    cin >> n >> k;
//    Combination com(k);
//    cout << com.P(k, n) << "\n";
//}
//
//
//// verified
////   https://onlinejudge.u-aizu.ac.jp/courses/library/7/DPL/5/DPL_5_C
//ll pow_mod(ll num, ll pow, ll mod) {
//    ll prod = 1; num %= mod;
//    while (pow > 0) { if (pow & 1) prod = prod * num % mod; num = num * num % mod; pow >>= 1; }
//    return prod;
//}
//void AOJ_DPL_5_C() {
//    int n, k;
//    cin >> n >> k;
//    Combination com(k);
//    ll ans = 0;
//    for (int i = 0; i < k; i++) {
//        ll sgn = i % 2 == 0 ? 1 : -1;
//        ans = (ans + MOD + sgn * com.C(k, k - i) * pow_mod(k - i, n, MOD) % MOD) % MOD;
//    }
//    cout << ans << "\n";
//}
//
//
//// verified
////   https://onlinejudge.u-aizu.ac.jp/courses/library/7/DPL/5/DPL_5_D
//void AOJ_DPL_5_D() {
//    int n, k;
//    cin >> n >> k;
//    Combination com(n + k);
//    cout << com.H(n, k) << "\n";
//}
//
//
//// verified
////   https://onlinejudge.u-aizu.ac.jp/courses/library/7/DPL/5/DPL_5_E
//void AOJ_DPL_5_E() {
//    int n, k;
//    cin >> n >> k;
//    Combination com(k);
//    cout << com.C(k, n) << "\n";
//}
//
//
//// verified
////   https://onlinejudge.u-aizu.ac.jp/courses/library/7/DPL/5/DPL_5_F
//void AOJ_DPL_5_F() {
//    int n, k;
//    cin >> n >> k;
//    Combination com(n);
//    cout << com.H(n - k, k) << "\n";
//}

int main() {
    yuki117();
    // AOJ_DPL_5_B();
    // AOJ_DPL_5_C();
    // AOJ_DPL_5_D();
    // AOJ_DPL_5_E();
    // AOJ_DPL_5_F();
    return 0;
}
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