#include using namespace std; typedef long long ll; #define REP(i,n) for(int i=0,_n=(int)(n);i<_n;++i) #define ALL(v) (v).begin(),(v).end() #define CLR(t,v) memset(t,(v),sizeof(t)) templateostream& operator<<(ostream& os,const pair&a){return os<<"("<void pv(T a,T b){for(T i=a;i!=b;++i)cout<<(*i)<<" ";cout<void chmin(T&a,const T&b){if(a>b)a=b;} templatevoid chmax(T&a,const T&b){if(a 0) { if (b & 1) res = (res * a) % p; a = (a * a) % p; b >>= 1; } return res; } int main2() { ll N, M; cin >> N >> M; ll ans = 0; for (int k = 0; k <= M; k++) { ll val = choose(M, k) * mod_pow(M-k, N, MOD) % MOD; ans += (k % 2 == 0 ? +1 : -1) * val; ans = (ans % MOD + MOD) % MOD; } cout << ans << endl; return 0; } int main() { inv[1] = 1; for (int i = 2; i < SZ; i++) inv[i] = inv[(int) (MOD % i)] * (MOD - MOD / i) % MOD; fact[0] = 1; for (int i = 1; i < SZ; i++) fact[i] = fact[i-1] * i % MOD; fact_inv[0] = 1; for (int i = 1; i < SZ; i++) fact_inv[i] = fact_inv[i-1] * inv[i] % MOD; #ifdef LOCAL for (;!cin.eof();cin>>ws) #endif main2(); return 0; }