結果
問題 | No.117 組み合わせの数 |
ユーザー | arktan763 |
提出日時 | 2020-02-06 06:25:12 |
言語 | C++14 (gcc 12.3.0 + boost 1.83.0) |
結果 |
RE
|
実行時間 | - |
コード長 | 6,157 bytes |
コンパイル時間 | 1,783 ms |
コンパイル使用メモリ | 172,732 KB |
実行使用メモリ | 237,728 KB |
最終ジャッジ日時 | 2024-09-24 19:40:42 |
合計ジャッジ時間 | 11,092 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge2 |
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ソースコード
#include <bits/stdc++.h> using namespace std; #define int long long #define double long double #define FOR(i, a, b) for(int i = (a); i < (b); ++i) #define FORR(i, a, b) for(int i = (a); i > (b); --i) #define REP(i, n) for(int i = 0; i < (n); ++i) #define REPR(i, n) for(int i = n; i >= 0; i--) #define FOREACH(x, a) for(auto &(x) : (a)) #define VECCIN(x) \ for(auto &youso_ : (x)) cin >> youso_ #define bitcnt(x) __builtin_popcount(x) #define lbit(x) __builtin_ffsll(x) #define rbit(x) (64 - __builtin_clzll(x)) #define fi first #define se second #define All(a) (a).begin(), (a).end() #define rAll(a) (a).rbegin(), (a).rend() #define cinfast() cin.tie(0), ios::sync_with_stdio(false) #define PERM(c) \ sort(All(c)); \ for(bool cp = true; cp; cp = next_permutation(All(c))) #define COMB(n, k) \ for(ll bit = (1LL << k) - 1; bit < (1LL << n); bit = next_combination(bit)) #define PERM2(n, k) \ COMB(n, k) { \ vector<int> sel; \ for(int bitindex = 0; bitindex < n; bitindex++) \ if(bit >> bitindex & 1) sel.emplace_back(bitindex); \ PERM(sel) { Printv(sel); } \ } #define MKORDER(n) \ vector<int> od(n); \ iota(All(od), 0LL); template <typename T = long long> inline T IN() { T x; cin >> x; return (x); } inline void CIN() {} template <class Head, class... Tail> inline void CIN(Head &&head, Tail &&... tail) { cin >> head; CIN(move(tail)...); } template <class Head> inline void COUT(Head &&head) { cout << (head) << "\n"; } template <class Head, class... Tail> inline void COUT(Head &&head, Tail &&... tail) { cout << (head) << " "; COUT(forward<Tail>(tail)...); } #define CCIN(...) \ char __VA_ARGS__; \ CIN(__VA_ARGS__) #define DCIN(...) \ double __VA_ARGS__; \ CIN(__VA_ARGS__) #define LCIN(...) \ long long __VA_ARGS__; \ CIN(__VA_ARGS__) #define SCIN(...) \ string __VA_ARGS__; \ CIN(__VA_ARGS__) #define Printv(v) \ { \ FOREACH(x, v) { cout << x << " "; } \ cout << "\n"; \ } template <typename T = string> inline void eputs(T s) { cout << s << "\n"; exit(0); } template <typename A, size_t N, typename T> void Fill(A (&array)[N], const T &val) { std::fill((T *)array, (T *)(array + N), val); } long long next_combination(long long sub) { long long x = sub & -sub, y = sub + x; return (((sub & ~y) / x) >> 1) | y; } // generic lambdas template <typename F> #if defined(__has_cpp_attribute) && __has_cpp_attribute(nodiscard) [[nodiscard]] #elif defined(__GNUC__) && (__GNUC__ > 3 || __GNUC__ == 3 && __GNUC_MINOR__ >= 4) __attribute__((warn_unused_result)) #endif // defined(__has_cpp_attribute) && __has_cpp_attribute(nodiscard) static inline constexpr decltype(auto) fix(F &&f) noexcept { return [f = std::forward<F>(f)](auto &&... args) { return f(f, std::forward<decltype(args)>(args)...); }; } template <typename T> using PQG = priority_queue<T, vector<T>, greater<T>>; template <typename T> using PQ = priority_queue<T>; typedef long long ll; typedef vector<ll> VL; typedef vector<VL> VVL; typedef pair<ll, ll> PL; typedef vector<PL> VPL; typedef vector<bool> VB; typedef vector<double> VD; typedef vector<string> VS; const int INF = 1e9; const int MOD = 1e9 + 7; // const int MOD = 998244353; const ll LINF = 1e18; const ll dw[] = {1, 1, 0, -1, -1, -1, 0, 1}; const ll dh[] = {0, 1, 1, 1, 0, -1, -1, -1}; #define PI 3.141592653589793230 #define EPS 1e-7 const ll NMAX = 1e7; ll fac[NMAX + 1], inv[NMAX + 1], finv[NMAX + 1]; void cominit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[0] = inv[1] = 1; FOR(i, 2, NMAX + 1) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } ll comb(ll n, ll k) { if(k == 0) { assert(fac[n] * (finv[k] * finv[n - k] % MOD) % MOD == 1); return 1; } if(n < k) return 0; if(n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } ll hcomb(ll n, ll k) { return comb(n + k - 1, k); } // for program vector<string> split(string str, char del) { vector<string> result; string subStr; for(const char c : str) { if(c == del) { result.push_back(subStr); subStr.clear(); } else { subStr += c; } } result.push_back(subStr); return result; } signed main() { cinfast(); LCIN(T); cominit(); REP(i, T) { SCIN(S); VS s = split(S.substr(2, S.length() - 3), ','); ll n = stoll(s[0]), k = stoll(s[1]); if(S[0] == 'C') cout << comb(n, k) << "\n"; else if(S[0] == 'P') cout << comb(n, k) * fac[k] % MOD << "\n"; else cout << hcomb(n, k) << "\n"; } }