#include #include using namespace std; using namespace atcoder; using ll=long long; using mint=modint998244353; vector convolute(vector> v){ int n=v.size(); if(n==1)return v[0]; vector> a,b; for(int i=0;i>n>>m; vector> v(min(n,m+1)+1,vector({-1,1})); ll k=min(n,m+1); vector a=convolute(v); mint ans=((mint)m+1).pow(n)*min(n,m+1)*min(n,m+1); for(int i=1;i<=min(n-1,m);i++)ans+=((mint)(m+1-i)).pow(n)*(-2*a[k-i-1]-(2*k-1)*a[k-i]); if(m>=n)ans+=((mint)(m+1-n)).pow(n)*(-(2*k-1)*a[0]); cout<