#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define X first #define Y second #define pb push_back #define rep(X,Y) for (int (X) = 0;(X) < (Y);++(X)) #define reps(X,S,Y) for (int (X) = S;(X) < (Y);++(X)) #define rrep(X,Y) for (int (X) = (Y)-1;(X) >=0;--(X)) #define repe(X,Y) for ((X) = 0;(X) < (Y);++(X)) #define peat(X,Y) for (;(X) < (Y);++(X)) #define all(X) (X).begin(),(X).end() #define rall(X) (X).rbegin(),(X).rend() #define eb emplace_back #define UNIQUE(X) (X).erase(unique(all(X)),(X).end()) using namespace std; typedef long long ll; typedef pair pii; typedef pair pll; template using vv=vector>; template ostream& operator<<(ostream &os, const vector &t) { os<<"{"; rep(i,t.size()) {os< ostream& operator<<(ostream &os, const pair &t) { return os<<"("< inline bool MX(T &l,const T &r){return l inline bool MN(T &l,const T &r){return l>r?l=r,1:0;} const ll MOD=1e9+7; ll modpow(ll r,ll n,ll m=MOD){ ll re=1,d=r%m; if(n<0)(n%=m-1)+=m-1; for(;n;n/=2){ if(n&1)(re*=d)%=m; (d*=d)%=m; } return re; } vector fact,finv,inv; ll comb(ll n,ll r){ if(n &re,int n){ re.resize(n+1); re[1]=1; for(int i=2;i<=n;++i)re[i]=re[MOD%i]*(MOD-MOD/i)%MOD; } void Facts(vector &re,int n){ re.resize(n+1); re[0]=1; rep(i,n)re[i+1]=re[i]*(i+1)%MOD; } void Factinvs(vector &re,const vector &inv,int n){ re.resize(n+1); re[0]=1; rep(i,n)re[i+1]=re[i]*inv[i+1]%MOD; } public: Doralion(int n){ Modinvs(inv,n); Facts(fact,n); Factinvs(finv,inv,n); } } doralion(212345); int main(){ ios_base::sync_with_stdio(false); cout<>n>>m; ll re=0; ll sgn=m%2?1:-1; reps(i,1,m+1){ (re+=sgn*comb(m,i)*modpow(i,n)%MOD)%=MOD; sgn=-sgn; } cout<<(re+MOD)%MOD<