#include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; #define rep(i, j, n) for (ll i = j; i < (n); ++i) #define rrep(i, j, n) for (ll i = (n)-1; j <= i; --i) template std::ostream &operator<<(std::ostream &os, std::vector &a) { os << "{"; for (size_t i = 0; i < a.size(); ++i) os << (i > 0 ? "," : "") << a[i]; return os << "}"; } [[maybe_unused]] constexpr ll MOD = 1e9 + 7; [[maybe_unused]] constexpr int INF = 0x3f3f3f3f; [[maybe_unused]] constexpr ll INFL = 0x3f3f3f3f3f3f3f3fLL; class combination { public: explicit combination(int n, uint64_t m) : mod(m), fact(n + 1), inv(n + 1), finv(n + 1) { fact[0] = finv[0] = inv[1] = 1; for (int i = 2; i < n + 1; ++i) inv[i] = mod - inv[mod % i] * (mod / i) % mod; for (int i = 1; i < n + 1; ++i) { fact[i] = fact[i - 1] * i % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } uint64_t operator()(int n, int k) { if (n < k || n < 0 || k < 0) return 0; return fact[n] * finv[n - k] % mod * finv[k] % mod; } uint64_t modpow(uint64_t x, uint64_t e) { uint64_t res = 1; while (e > 0) { if (e & 1) res = res * x % mod; x = x * x % mod; e >>= 1; } return res; } private: uint64_t mod; vector fact, inv, finv; }; int main() { cin.tie(0)->sync_with_stdio(0); ll n, m; cin >> n >> m; combination c(m, MOD); ll ans = 0; rep(i, 0, m + 1) { if (i & 1) ans += MOD - c(m, i) * c.modpow(m - i, n) % MOD; else ans += c(m, i) * c.modpow(m - i, n) % MOD; if (ans >= MOD) ans -= MOD; } cout << ans << '\n'; return 0; }