#include using namespace std; #define bokusunny ios::sync_with_stdio(false), cin.tie(nullptr); template struct ModInt { int x; ModInt() : x(0) {} ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} ModInt &operator+=(const ModInt &p) { if ((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if ((x += mod - p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int)(1LL * x * p.x % mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt &operator++() { x++; if (x == mod) x = 0; return *this; } ModInt &operator--() { if (x == 0) x = mod; x--; return *this; } ModInt operator++(int) { ModInt res = *this; ++*this; return res; } ModInt operator--(int) { ModInt res = *this; --*this; return res; } ModInt operator-() const { return ModInt(-x); } ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while (b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); } ModInt pow(int64_t n) const { ModInt ret(1), mul(x); while (n > 0) { if (n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt(t); return (is); } static int get_mod() { return mod; } }; const int MOD = 1e9 + 7; using mint = ModInt; template struct ModComb { private: vector Fac, Finv, Inv; int MAX_N; public: ModComb(int max_n = 1 << 20) { MAX_N = max_n; Fac.resize(MAX_N + 1), Finv.resize(MAX_N + 1), Inv.resize(MAX_N + 1); Fac[0] = Fac[1] = 1; Finv[0] = Finv[1] = 1; Inv[1] = 1; for (int i = 2; i <= MAX_N; i++) { Fac[i] = Fac[i - 1] * i; Inv[i] = (mint)0 + MOD - Inv[MOD % i] * (MOD / i); Finv[i] = Finv[i - 1] * Inv[i]; } } T nCk(int n, int k) { assert(n <= MAX_N); if (n < k) return 0; if (n < 0 || k < 0) return 0; return Fac[n] * Finv[k] * Finv[n - k]; } T nHr(int n, int r) { return nCk(n + r - 1, r); } T nPr(int n, int r) { assert(n <= MAX_N); assert(0 <= r && r <= n); return Fac[n] / Fac[n - r]; } }; long long modpow(long long a, long long n, int mod = 1000000007) { assert(mod != 0); if (mod == 1) return 0LL; a %= mod; long long res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } void solve() { long long N; int K; cin >> N >> K; ModComb Comb; mint ans = 0; for (int vacant = 0; vacant <= K; vacant++) { mint tmp = modpow(K - vacant, N); tmp *= Comb.nCk(K, vacant); if (vacant & 1) tmp *= -1; ans += tmp; } cout << ans << endl; } int main() { bokusunny; solve(); return 0; }