#include using namespace std; typedef long long ll; typedef unsigned long long ull; #define REP(i, n) for(int i=0; ibool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b 0){ if(n & 1) res = res * x % mod; x = x * x % mod; n >>= 1; } return res; } const int MAX_N = 110000; ll fact[MAX_N+100]; ll frev[MAX_N+100]; ll rev(ll a, ll p){ if(p == 0) return 1; ll tmp = rev(a, p/2); tmp = tmp * tmp % MOD; if(p % 2 == 1) tmp = tmp * a % MOD; return tmp; } void calc_fact(){ fact[0] = frev[0] = 1; for(int i = 1; i <= MAX_N; i++){ fact[i] = (fact[i-1] * i) % MOD; frev[i] = rev(fact[i], MOD-2); } } ll comb(int n, int k){ if(n < 0 || k < 0 || n < k) return 0; if(n == 0 || k == 0) return 1; return fact[n] * frev[k] % MOD * frev[n-k] % MOD; } ll perm(int n, int k){ if(n < 0 || k < 0 || n < k) return 0; if(n == 0 || k == 0) return 1; return fact[n] * frev[n-k] % MOD; } void prepare(){ fact[0] = frev[0] = 1; for(int i = 1; i <= MAX_N; i++){ fact[i] = (fact[i-1] * i) % MOD; frev[i] = rev(fact[i], MOD-2); } } int main(){ ll N, M; cin >> N >> M; if(N < M){ cout << 0 << endl; return 0; } prepare(); ll ans = 0; for(int m = 0; m <= M; m++){ /// m問は割り当てない ll num = comb(M, m) * mod_pow(M-m, N, MOD); if(m%2) ans += MOD - num; else ans += num; ans %= MOD; } cout << ans << endl; return 0; }