#include #include #include #include #include #include #include #include #include #include #include #include #include #define repd(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define rep(i,n) repd(i,0,n) #define all(x) (x).begin(),(x).end() #define mod 1000000007 #define inf 2000000007 #define mp make_pair #define pb push_back typedef long long ll; using namespace std; template inline void output(T a, int p) { if(p) cout << fixed << setprecision(p) << a << "\n"; else cout << a << "\n"; } // end of template const int f = 100001; vector fact(f, 1); ll pow_mod(ll a, ll b, ll m){ ll ret = 1; while (b > 0) { if (b & 1) { ret = ret * a % m; } a = a * a % m; b >>= 1; } return ret; } ll inv_mod(ll a, ll m){ return pow_mod(a, m - 2, m); } ll comb(ll n, ll k, ll m){ ll fn = fact[n]; ll fk = fact[k]; ll fnk = fact[n - k]; ll b = inv_mod(fk * fnk % m, m); return fn * b % m; } int main() { cin.tie(0); ios::sync_with_stdio(0); // source code repd(i, 1, f + 1){ fact[i] = fact[i - 1] * i; fact[i] %= mod; } ll N, M; cin >> N >> M; if(N < M){ output(0, 0); return 0; } ll ret = 0; ll now = M; while(now){ ll c = pow_mod(now, N, mod); (c *= comb(M, now, mod)) %= mod; if((M - now) % 2 == 1) c *= -1; // cout << now << ": " << c << ", " << comb(M, now, mod) << endl; (ret += c) %= mod; now--; } output((ret + mod) % mod, 0); return 0; }