#include #include #include using namespace std; constexpr long long MOD = 1000000007; //Combination Mod class CombinationMod { public: vector fac,finv,inv; long long mod; CombinationMod(int N,long long mod) : fac(N + 1), finv(N + 1), inv(N + 1), mod(mod) { fac[0] = fac[1] = finv[0] = finv[1] = inv[1] = 1; for (int i = 2; i <= N; ++i) { fac[i] = fac[i - 1] * i % mod; inv[i] = mod - inv[mod%i] * (mod / i) % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } long long num(int n, int k) { return ((n < 0 || k < 0 || n < k) ? 0 : fac[n] * (finv[k] * finv[n - k] % mod) % mod); } }; //Pow_Mod O(log(n)) long long PowMod(long long x, long long n, long long mod) { long long res = 1; for (; n > 0; n >>= 1, (x *= x) %= mod) if (n & 1) (res *= x) %= mod; return res; } int main(void) { int N,M; cin >> N >> M; CombinationMod CM(M,MOD); int sgn = 1; long long ans = 0; for(int i = M; 1 <= i; --i) { long long cnt = (sgn+MOD) % MOD; (cnt *= CM.num(M,i)) %= MOD; (cnt *= PowMod(i,N,MOD)) %= MOD; (ans += cnt) %= MOD; sgn *= -1; } cout << ans << endl; return 0; }