#include #include #include #include #include #include #include using namespace std; #define int long long #define endl "\n" constexpr long long INF = (long long)1e18; constexpr long long MOD = 1'000'000'007; struct fast_io { fast_io(){ std::cin.tie(nullptr); std::ios::sync_with_stdio(false); }; } fio; class binomial_coefficients { long long MAX_VAL; public: vector fac, mmi; binomial_coefficients(){ } binomial_coefficients(long long num){ init(num); } ~binomial_coefficients(){ } void init(long long num){ MAX_VAL = num+1; fac.resize(MAX_VAL); mmi.resize(MAX_VAL); factorial_mod(); modular_multiplicatibe_inverse(); } void factorial_mod(){ fac[0] = 1; for(long long i = 1; i < MAX_VAL; fac[i] %= MOD, i++) fac[i] = fac[i - 1] * (i % MOD); } long long power(long long x, long long n){ long long ans = 1; for(;n;n >>= 1, x *= x, ans %= MOD, x %= MOD) if(n&1)ans*=x; return ans % MOD; } void exgcd(long long a, long long b, long long &x, long long &y){ if(b == 0){ x = 1; y = 0; return ; } exgcd(b, a % b, y, x); y -= a / b * x; } void modular_multiplicatibe_inverse(){ long long x, y; exgcd(fac[MAX_VAL - 1], MOD, x, y); mmi[MAX_VAL-1] = x; // mmi[MAX_VAL-1] = power(fac[MAX_VAL-1], MOD-2); for(long long i = MAX_VAL - 2; i >= 0; mmi[i]%=MOD, i--) mmi[i] = mmi[i + 1] * ((i + 1) % MOD); } long long combination(long long n, long long r){ return n < r ? 0 :fac[n] * (mmi[r] * mmi[n-r] % MOD) % MOD; } }; signed main(){ cout<>N>>M; BC.init(N+2); for(int i = 1; i <= M; i++){ if((M - i)%2) { ans += MOD - (BC.combination(M, i) * BC.power(i, N))%MOD; } else { ans += (BC.combination(M, i) * BC.power(i, N))%MOD; } ans %= MOD; } cout<