// template version 1.15 using namespace std; #include // varibable settings #define int long long const int INF=1e18; // define basic macro {{{ #define _overload3(_1,_2,_3,name,...) name #define _rep(i,n) repi(i,0,n) #define repi(i,a,b) for(int i=(int)(a);i<(int)(b);++i) #define rep(...) _overload3(__VA_ARGS__,repi,_rep,)(__VA_ARGS__) #define _rrep(i,n) rrepi(i,0,n) #define rrepi(i,a,b) for(int i=(int)((b)-1);i>=(int)(a);--i) #define rrep(...) _overload3(__VA_ARGS__,rrepi,_rrep,)(__VA_ARGS__) #define each(i,a) for (auto&& i : a) #define all(x) (x).begin(),(x).end() #define rall(x) (x).rbegin(),(x).rend() #define sz(x) ((int)(x).size()) #define pb(a) push_back(a) #define mp(a, b) make_pair(a, b) #define mt(a, b, c) make_tuple(a, b, c) #define ub upper_bound #define lb lower_bound #define posl(A, x) (lower_bound(all(A), x)-A.begin()) #define posu(A, x) (upper_bound(all(A),x)-A.begin()) template inline void chmax(T &a, const T &b) { if((a) < (b)) (a) = (b); } template inline void chmin(T &a, const T &b) { if((a) > (b)) (a) = (b); } #define divceil(a,b) ((a)+(b)-1)/(b) #define is_in(x, a, b) ((a)<=(x) && (x)<(b)) #define uni(x) sort(all(x));x.erase(unique(all(x)),x.end()) #define slice(l, r) substr(l, r-l) typedef long long ll; typedef vector vi; typedef vector vvi; typedef long double ld; typedef pair pii; typedef tuple iii; template using PQ = priority_queue, greater>; struct Fast { Fast(){ std::cin.tie(0); ios::sync_with_stdio(false); } } fast; #if defined(PCM) || defined(LOCAL) #else #define dump(...) 42 #define dump_1d(...) 42 #define dump_2d(...) 42 #define cerrendl 42 #endif //}}} int mod = 1e9+7; struct mint { //{{{ int x; mint(int x=0):x((x%mod+mod)%mod){} // ?= operator mint& operator+=(const mint a) { (x += a.x) %= mod; return *this; } mint& operator-=(const mint a) { (x += mod-a.x) %= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this; } mint& operator/=(const mint&rhs){ if (rhs.x==0) throw runtime_error("mint zero division"); return *this*=rhs.inv(); } mint operator+(const mint a) const { mint res(*this); return res+=a; } mint operator-(const mint a) const { mint res(*this); return res-=a; } mint operator*(const mint a) const { mint res(*this); return res*=a; } mint operator/(const mint a) const { mint res(*this); return res/=a; } mint pow(int n)const{ mint res(1),x(*this); if (n<0){ n = -n; x =(*this).inv(); } while(n){ if(n&1)res*=x; x*=x; n>>=1; } return res; } mint inv() const{ if (x==0) throw runtime_error("inv does not exist"); return pow(mod-2); } // mint inv()const{ // int x,y; // int g=extgcd(v,mod,x,y); // assert(g==1); // if(x<0)x+=mod; // return mint(x); // } bool operator<(const mint&r)const{return x>(istream& is, const mint& a) {return is >> a.x;} ostream& operator<<(ostream& os, const mint& a) {return os << a.x;} //}}} struct combination { // {{{ vector fact, ifact; combination(int n):fact(n+1),ifact(n+1) { assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i-1]*i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n]*ifact[k]*ifact[n-k]; } } // }}} com(500001); signed main() { int n,m;cin>>n>>m; mint ans = mint(m).pow(n); rep(x, 1, m){ mint c = com(m, x) * mint(x).pow(n) * mint(-1).pow(m-x); ans += c; } cout << ans << endl; return 0; }