#define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; void mod_inverse(int n, vector& inv, int mod) { inv.assign(n+1, -1); inv[1] = 1; for(int i=2; i<=n; ++i) inv[i] = inv[mod % i] * (mod - mod / i) % mod; } class FactorialCalculation { private: const int mod; vector factorial; vector invFactorial; public: FactorialCalculation(int n, int mod) : mod(mod) { factorial.resize(n+1, 1); invFactorial.resize(n+1, 1); vector inv; mod_inverse(n, inv, mod); for(int i=1; i<=n; ++i){ factorial[i] = factorial[i-1] * i % mod; invFactorial[i] = invFactorial[i-1] * inv[i] % mod; } } long long getFactorial(int n){ return factorial[n]; } long long getInvFactorial(int n){ return invFactorial[n]; } long long getPermutation(int n, int r){ if(n < r) return 0; return factorial[n] * invFactorial[n-r] % mod; } long long getCombination(int n, int r){ if(n < r) return 0; return getPermutation(n, r) * invFactorial[r] % mod; } long long getHomogeneous(int n, int r){ return getCombination(n+r-1, r); } }; const int MOD = 1000000007; long long power(long long a, long long b) { long long ret = 1; long long tmp = a % MOD; while(b > 0){ if(b & 1){ ret *= tmp; ret %= MOD; } tmp *= tmp; tmp %= MOD; b >>= 1; } return ret; } int main() { long long n; int m; cin >> n >> m; FactorialCalculation fc(m, MOD); long long ans = 0; for(int i=m; i>=1; --i){ if((m - i) % 2 == 0){ ans += fc.getCombination(m, i) * power(i, n); ans %= MOD; } else{ ans -= fc.getCombination(m, i) * power(i, n); ans %= MOD; ans += MOD; ans %= MOD; } } cout << ans << endl; return 0; }