Library/Math/numtheory.cpp
2020-08-21 10:46:06 -05:00

22 lines
471 B
C++

constexpr ll MOD = 1e9+7;
ll fact[200002] = { 1 }, ifact[200002] = { 1 };
inline ll pw(ll base, ll exp) {
ll res = 1;
while (exp) {
if (exp & 1) (res *= base) %= MOD;
exp >>= 1, (base *= base) %= MOD;
}
return res;
}
inline ll inv(ll x) { return pw(x, MOD - 2); }
inline ll nCr(int n, int k) { return fact[n] * ifact[k] % MOD * ifact[n - k] % MOD; }
for (int i = 0; i < N; ++i) {
fact[i + 1] = (i + 1ll) * fact[i] % MOD;
ifact[i + 1] = inv(fact[i + 1]);
}