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1.83 kB
| /* | |
| **************************************************************** | |
| **************************************************************** | |
| -> Coded by Stavros Chryselis | |
| -> Visit my github for more solved problems over multiple sites | |
| -> https://github.com/StavrosChryselis | |
| -> Feel free to email me at stavrikios@gmail.com | |
| **************************************************************** | |
| **************************************************************** | |
| */ | |
| using namespace std; | |
| const long long MOD = 1000000007; | |
| long long fact[1000007]; | |
| long long N, A, B, D; | |
| inline long long modpow(long long base, long long exp, long long modulus) | |
| { | |
| long long result = 1; | |
| base %= modulus; | |
| while (exp > 0) | |
| { | |
| if (exp & 1) | |
| result = (result * base) % modulus; | |
| base = (base * base) % modulus; | |
| exp >>= 1; | |
| } | |
| return result; | |
| } | |
| inline bool finish() | |
| { | |
| char c = gc(); | |
| while (isspace(c)) | |
| c = gc(); | |
| if (c == EOF) | |
| { | |
| ungetc(c, stdin); | |
| return 1; | |
| } | |
| ungetc(c, stdin); | |
| return 0; | |
| } | |
| inline void pre() | |
| { | |
| int i; | |
| fact[0] = 1; | |
| for (i = 1; i <= MAXN; i++) | |
| { | |
| fact[i] = fact[i - 1] * i; | |
| fact[i] %= MOD; | |
| } | |
| } | |
| inline long long rev(long long num) | |
| { | |
| return modpow(num, MOD - 2, MOD); | |
| } | |
| inline long long ncr(long long n, long long k) | |
| { | |
| long long res = fact[n]; | |
| res *= rev(fact[k]); | |
| res %= MOD; | |
| res *= rev(fact[n - k]); | |
| res %= MOD; | |
| return res; | |
| } | |
| inline void init() | |
| { | |
| scanf("%lld %lld %lld %lld", &N, &A, &B, &D); | |
| } | |
| inline long long solve() | |
| { | |
| long long res = ncr(N, A); | |
| res *= modpow(ncr(B, D), A, MOD); | |
| res %= MOD; | |
| return res; | |
| } | |
| int main() | |
| { | |
| // freopen("input.txt", "r", stdin); | |
| pre(); | |
| while (!finish()) | |
| { | |
| init(); | |
| printf("%lld\n", solve()); | |
| } | |
| return 0; | |
| } | |