/* -*- coding: utf-8 -*- * * 391.cc: No.391 CODING WAR - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_M = 100000; typedef long long ll; const ll MOD = 1000000007; /* typedef */ typedef vector vi; typedef queue qi; typedef pair pii; /* global variables */ /* subroutines */ ll powmod(ll a, ll n) { // a^n % MOD ll pm = 1; while (n > 0) { if ((n & 1) != 0) pm = (pm * a) % MOD; a = (a * a) % MOD; n >>= 1; } return pm; } /* main */ int main() { ll n; int m; cin >> n >> m; if (n < m) { puts("0"); return 0; } ll sum = 0, nck = 1; bool plus = true; for (int k = 0; k <= m; k++) { ll pm = powmod((ll)(m - k), n); //printf("k=%d: nck=%lld, pm=%lld\n", k, nck, pm); ll t = nck * pm % MOD; sum = (sum + (plus ? t : MOD - t)) % MOD; nck = nck * (m - k) % MOD * powmod((ll)(k + 1), MOD - 2) % MOD; plus = ! plus; } printf("%lld\n", sum); return 0; }