#include #pragma GCC optimize("Ofast") #define _GLIBCXX_DEBUG using namespace std; using std::cout; using std::cin; using std::endl; using ll=long long; using ld=long double; ll ILL=1167167167167167167; const int INF=2100000000; const ll mod=998244353; #define rep(i,a) for (ll i=0;i using _pq = priority_queue, greater>; template ll LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template ll UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;} template bool chmax(T &a,const T &b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} void yneos(bool a){if(a) cout<<"YES\n"; else cout<<"NO\n";} void solve(); // rainy ~ 雨に打たれて ~ int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t=1; //cin>>t; rep(i,t) solve(); } void solve(){ int N,K; cin>>N>>K; vector> dp(K,vector(K)); rep(i,K) rep(j,i) dp[j][i]=1; rep(i,N-2){ vector> n_dp(K,vector(K)); rep(j,K) rep(k,K){ if(i%2!=1&&k!=0) n_dp[k][k-1]+=dp[j][k]; else if(i%2==1&&k+1!=K) n_dp[k][k+1]+=dp[j][k]; } if(i%2){ rep(j,K) rep(k,K-1) n_dp[j][k+1]+=n_dp[j][k]; }else{ rep(j,K) rep(k,K-1) n_dp[j][K-k-2]+=n_dp[j][K-k-1]; } rep(j,K) rep(k,K) n_dp[j][k]=(n_dp[j][k]-dp[k][j])%mod; swap(n_dp,dp); } ll ans=0; rep(j,K) rep(k,K) ans+=dp[j][k]; ans%=mod; ll ans2=(ans*(K-1)*N)%mod; ans*=2ll; cout<<(ans%mod+mod)%mod<<" "<<(ans2+mod)%mod<<"\n"; }