#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define popcount __builtin_popcount using namespace std; typedef long long int ll; typedef pair P; const ll MOD=998244353; ll powmod(ll a, ll k){ ll ap=a, ans=1; while(k){ if(k&1){ ans*=ap; ans%=MOD; } ap=ap*ap; ap%=MOD; k>>=1; } return ans; } ll inv(ll a){ return powmod(a, MOD-2); } ll f[200020], invf[200020]; void fac(int n){ f[0]=1; for(ll i=1; i<=n; i++) f[i]=f[i-1]*i%MOD; invf[n]=inv(f[n]); for(ll i=n-1; i>=0; i--) invf[i]=invf[i+1]*(i+1)%MOD; } ll comb(int x, int y){ if(!(0<=y && y<=x)) return 0; return f[x]*invf[y]%MOD*invf[x-y]%MOD; } int main() { int n, k; cin>>n>>k; fac(k+1); ll c[100010]; c[k]=1; ll p=1; for(int i=k-1; i>0; i--){ c[i]=p*comb(k, i)%MOD; (p*=2)%=MOD; } ll ans=0; for(int i=1; i<=k; i++){ ll x=c[i]*powmod(i, n)%MOD; if((k-i)&1) (ans+=MOD-x)%=MOD; else (ans+=x)%=MOD; } cout<<(powmod(k, n)-ans+MOD)%MOD<