結果
問題 | No.117 組み合わせの数 |
ユーザー | anmichi |
提出日時 | 2023-01-13 23:39:04 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
WA
|
実行時間 | - |
コード長 | 4,740 bytes |
コンパイル時間 | 2,257 ms |
コンパイル使用メモリ | 207,004 KB |
実行使用メモリ | 26,880 KB |
最終ジャッジ日時 | 2024-06-07 00:21:33 |
合計ジャッジ時間 | 2,701 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge3 |
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ソースコード
#include <bits/stdc++.h> using namespace std; using ll = long long; #define rep(i, n) for (int i = 0; i < n; i++) #define all(v) v.begin(), v.end() template <class T, class U> inline bool chmax(T &a, U b) { if (a < b) { a = b; return true; } return false; } template <class T, class U> inline bool chmin(T &a, U b) { if (a > b) { a = b; return true; } return false; } constexpr int INF = 1000000000; constexpr int64_t llINF = 3000000000000000000; constexpr double eps = 1e-10; const double pi = acos(-1); vector<int> calc_factor(int n) { vector<int> least_factor(n + 1, 0), prime_list; for (int i = 2; i <= n; i++) { if (least_factor[i] == 0) { least_factor[i] = i; prime_list.push_back(i); } for (int j = 0; j < (int)prime_list.size() && i * prime_list[j] <= n; j++) { least_factor[i * prime_list[j]] = prime_list[j]; if (prime_list[j] == least_factor[i]) break; } } return least_factor; } ll extgcd(ll a, ll b, ll &x, ll &y) { if (b == 0) { x = 1; y = 0; return a; } ll d = extgcd(b, a % b, y, x); y -= a / b * x; return d; } ll modpow(ll a, ll b, ll m) { ll res = 1; while (b) { if (b & 1) { res *= a; res %= m; } a *= a; a %= m; b >>= 1; } return res; } template <int modulo> struct modint { int x; modint() : x(0) {} modint(int64_t y) : x(y >= 0 ? y % modulo : (modulo - (-y) % modulo) % modulo) {} modint &operator+=(const modint &p) { if ((x += p.x) >= modulo) x -= modulo; return *this; } modint &operator-=(const modint &p) { if ((x += modulo - p.x) >= modulo) x -= modulo; return *this; } modint &operator*=(const modint &p) { x = (int)(1LL * x * p.x % modulo); return *this; } modint &operator/=(const modint &p) { *this *= p.inv(); return *this; } modint operator-() const { return modint(-x); } modint operator+(const modint &p) const { return modint(*this) += p; } modint operator-(const modint &p) const { return modint(*this) -= p; } modint operator*(const modint &p) const { return modint(*this) *= p; } modint operator/(const modint &p) const { return modint(*this) /= p; } bool operator==(const modint &p) const { return x == p.x; } bool operator!=(const modint &p) const { return x != p.x; } modint inv() const { int a = x, b = modulo, u = 1, v = 0, t; while (b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return modint(u); } modint pow(int64_t n) const { modint ret(1), mul(x); while (n > 0) { if (n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend ostream &operator<<(ostream &os, const modint &p) { return os << p.x; } friend istream &operator>>(istream &is, modint &a) { int64_t t; is >> t; a = modint<modulo>(t); return (is); } int val() const { return x; } static constexpr int mod() { return modulo; } static constexpr int half() { return (modulo + 1) >> 1; } }; template <typename T> struct Binomial { vector<T> inv, fact, factinv; Binomial(int n) { assert(n > 0); inv.resize(n + 1); fact.resize(n + 1); factinv.resize(n + 1); inv[0] = fact[0] = factinv[0] = 1; for (int i = 1; i <= n; i++) fact[i] = fact[i - 1] * i; factinv[n] = fact[n].inv(); inv[n] = fact[n - 1] * factinv[n]; for (int i = n - 1; i >= 1; i--) { factinv[i] = factinv[i + 1] * (i + 1); inv[i] = fact[i - 1] * factinv[i]; } } T C(int n, int r) { if (n < 0 || n < r || r < 0) return 0; return fact[n] * factinv[n - r] * factinv[r]; } T P(int n, int r) { if (n < 0 || n < r || r < 0) return 0; return fact[n] * factinv[n - r]; } T H(int n, int r) { if (n < 0 || r < 0) return 0; return r == 0 ? 1 : C(n + r - 1, r); } }; void solve() { Binomial<modint<1000000007>> bin(2000000); int t; cin >> t; while (t--) { char op; int n, k; scanf("\n%c(%d,%d)", &op, &n, &k); if (op == 'C') printf("%d\n", bin.C(n, k).val()); if (op == 'P') printf("%d\n", bin.P(n, k).val()); if (op == 'H') printf("%d\n", bin.H(n, k).val()); } } int main() { cin.tie(0); ios::sync_with_stdio(false); /*int t; cin >> t; while (t--)*/ solve(); }