#include #include long long modpow(int a, long long n, int mod) { long long res = 1; long long apow = a; // a^1, a^2, a^4, ... while (n) { if (n & 1LL) res = (res * apow) % mod; apow = apow * apow % mod; n = n >> 1; } return res; } class Combination { private: const int max; const int mod; std::vector fac; // fac[k] = k! in Fp std::vector finv; // finv[k] = (k!)^-1 in Fp public: Combination(int max, int mod) : max(max), mod(mod), fac(max, -1), finv(max, -1) { std::vector inv(max, -1); // inv[k] = k^-1 in Fp fac[0] = fac[1] = 1; inv[1] = 1; finv[0] = finv[1] = 1; for (int i = 2; i < max; ++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 operator()(int n, int k) const { if (n < k || n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % mod) % mod; } }; int main() { long long N; int M; std::cin >> N >> M; int mod = 1000000007; const int MAX = 1000000; Combination comb(MAX, mod); long long res = 0; for (int j = 0; j <= M; ++j) { long long tmp = 1; tmp = tmp * modpow(j, N, mod) % mod; tmp = tmp * comb(M, j) % mod; if ((M - j) % 2 == 1) tmp = mod - 1 * tmp; res = (res + tmp) % mod; } std::cout << res << std::endl; }