#include <bits/stdc++.h>
using namespace std;
#define int long long
int mod = 998244353;
long long modinv(long long a) {
    long long b = mod, u = 1, v = 0;
    while (b) {
        long long t = a / b;
        a -= t * b; swap(a, b);
        u -= t * v; swap(u, v);
    }
    u %= mod;
    if (u < 0) u += mod;
    return u;
}
signed main(){
	int N,K;
	cin>>N>>K;
	int k = modinv(N);
	vector<int> dp(N+1,0);
	dp[0] = 1;
	for(int i=0;i<K;i++){
		vector<int> ddp(N+1,0);
		for(int j=0;j<N;j++) ddp[j+1] = (ddp[j+1]+dp[j]*k%mod*(N-j)%mod)%mod;
		for(int j=N;j>0;j--) ddp[j-1] = (ddp[j-1]+dp[j]*k%mod*j%mod)%mod;
		dp = ddp;
	}
	int ans = 0;
	for(int i=0;i<=N;i++) ans = (ans+(N+(K-i)/2)*dp[i])%mod;
	cout<<ans<<endl;
}