#include #include using namespace std; const long long MOD = 1000000007; template struct Combination { long long n_max; vector fac, inv, finv; Combination(int n):n_max(n), fac(n+1,1), inv(n+1,1), finv(n+1,1){ for(int i = 2; n > i; 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 C(int n, int r){ if(n < r)return 0; if(n > n_max)return 0; return (((fac[n]*finv[r])%mod)*finv[n-r])%mod; } long long P(int n, int r){ if(n < r)return 0; if(n > n_max)return 0; return (fac[n]*finv[n-r])%mod; } long long H(int n, int r){ if(n==0 && r==0)return 1; return C(n+r-1, r); } }; using comb = Combination; template T uPow(T z,T n, T mod){ T ans = 1; while(n != 0){ if(n%2){ ans*=z; if(mod)ans%=mod; } n >>= 1; z*=z; if(mod)z%=mod; } return ans; } int main(){ long long n,m;cin>>n>>m; comb c(m+1); int sign = (m%2 == 0 ? 1 : -1); long long ans = 0; for(long long i = 0; m >= i; i++){ long long tmp = (c.C(m,i)*uPow(i,n,MOD))%MOD; if(sign == -1)tmp = MOD - tmp; ans = (ans + tmp)%MOD; sign *= -1; } cout << ans << endl; }