#include<bits/stdc++.h>
using namespace std;
using ll = long long;


#include<atcoder/modint>
using mint = atcoder::modint998244353;


int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);

    int n,k;
    cin>>n>>k;
    vector<vector<mint>> dp1(k+1,vector<mint>(n+1,0)),dp2(k+1,vector<mint>(n+1,0));
    dp1[0][0] = 1;
    mint invn = 1 / mint(n);
    for(int i = 0;i<k;i++){
        for(int j = 0;j<=n;j++){
            mint ok = mint(j) * invn;
            if(j-1>=0){
                dp1[i+1][j-1] += dp1[i][j] * ok;
                dp2[i+1][j-1] += ok * (dp1[i][j]+dp2[i][j]);
            }
            mint no = 1 - ok;
            if(j+1<=n){
                dp1[i+1][j+1] += dp1[i][j] * no;
                dp2[i+1][j+1] += dp2[i][j] * no;
            }
        }
    }
    mint ans = n;
    for(int i = 0;i<=n;i++) ans += dp2[k][i];
    cout<<ans.val()<<endl;

}