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 06:11:36 |
| 言語 | C++14 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 87 ms / 5,000 ms |
| コード長 | 6,522 bytes |
| コンパイル時間 | 1,821 ms |
| コンパイル使用メモリ | 174,964 KB |
| 実行使用メモリ | 54,364 KB |
| 最終ジャッジ日時 | 2024-09-24 19:10:18 |
| 合計ジャッジ時間 | 2,343 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge3 |
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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 mod = 1000000007;
ll inv[10000100];
ll FactorialInv[10000100];
ll Factorial[10000100];
ll beki(ll a, ll b) {
if(b == 0) {
return 1;
}
ll ans = beki(a, b / 2);
ans = ans * ans % mod;
if(b % 2 == 1) {
ans = ans * a % mod;
}
return ans;
}
void init_combination() {
const int MAX = 2000002;
Factorial[0] = 1;
inv[0] = 1;
for(int i = 1; i <= MAX; i++) {
Factorial[i] = Factorial[i - 1] * i % mod;
}
FactorialInv[MAX] = beki(Factorial[MAX], mod - 2);
for(ll i = MAX - 1; i >= 0; i--) {
FactorialInv[i] = FactorialInv[i + 1] * (i + 1) % mod;
}
for(int i = 1; i <= MAX; i++) {
inv[i] = FactorialInv[i] * Factorial[i - 1] % mod;
}
}
ll combination(ll a, ll b) {
if((a == b) || (b == 0)) {
return 1;
}
if(a < b) return 0;
ll ans = Factorial[a] * FactorialInv[b] % mod;
ans = ans * FactorialInv[a - b] % mod;
return ans;
}
// 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);
init_combination();
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 << combination(n, k) << "\n";
else if(S[0] == 'P')
cout << combination(n, k) * Factorial[k] % MOD << "\n";
else
cout << combination(n + k - 1, k) << "\n";
}
}