#include <bits/stdc++.h> using namespace std; #include <atcoder/all> using namespace atcoder; //using mint = static_modint<998244353>; //using mint = modint; using mint = static_modint<1000000007>; using vm = vector<mint>; using vvm = vector<vm>; ostream &operator<<(ostream &o,const mint &m){cout<<m.val();return o;} using ll = long long; using vl = vector<ll>; using vvl = vector<vl>; using pl = pair<ll,ll>; using vp = vector<pl>; #define rep(i,n) for(ll i=0;i<(ll)(n);++i) #define reps(i,s,n) for(ll i=(s);i<(ll)(n);++i) #define rep1(i,n) for(ll i=1;i<=(ll)(n);++i) template<typename T>inline bool chmax(T &a,T b){return a<b?a=b,true:false;} template<typename T>inline bool chmin(T &a,T b){return a>b?a=b,true:false;} #define fi first #define se second #define pb push_back #define eb emplace_back #define be(v) (v).begin(),(v).end() const long long INF = 1e18; #ifdef DEBUG #include <debug.hpp> #endif // combination mod prime // https://youtu.be/8uowVvQ_-Mo?t=6002 // https://youtu.be/Tgd_zLfRZOQ?t=9928 struct modinv { int n; vector<mint> d; modinv(): n(2), d({0,1}) {} mint operator()(int i) { while (n <= i) d.push_back(-d[mint::mod()%n]*(mint::mod()/n)), ++n; return d[i]; } mint operator[](int i) const { return d[i];} } invs; struct modfact { int n; vector<mint> d; modfact(): n(2), d({1,1}) {} mint operator()(int i) { while (n <= i) d.push_back(d.back()*n), ++n; return d[i]; } mint operator[](int i) const { return d[i];} } facts; struct modfactinv { int n; vector<mint> d; modfactinv(): n(2), d({1,1}) {} mint operator()(int i) { while (n <= i) d.push_back(d.back()*invs(n)), ++n; return d[i]; } mint operator[](int i) const { return d[i];} } ifacts; mint comb(int n, int k) { if (n < k || k < 0) return 0; return facts(n)*ifacts(k)*ifacts(n-k); } int main(){ #ifdef DEBUG cout << "--- Input ---" << endl; #endif ll N,M;cin>>N>>M; #ifdef DEBUG cout<<N<<" "<<M<<endl; cout << "--- Logic ---" << endl; #endif mint ans=0; rep(m,M+1){ mint c=comb(M,m); #ifdef DEBUG cout<<"M="<<M<<" m="<<m<<" c="<<c<<" pow="<<mint(m).pow(N)<<endl; #endif c*=mint(m).pow(N); if((M-m)&1)ans-=c; else ans+=c; #ifdef DEBUG cout<<" ans="<<ans<<endl; #endif } #ifdef DEBUG cout << "--- Answer ---" << endl; #endif cout<<ans<<endl; return 0; } //cout << fixed << setprecision(9);