#include #include #include using namespace atcoder; using mint = modint998244353; using namespace std; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf 1000000001 struct combi{ deque kaijou; deque kaijou_; combi(int n){ kaijou.push_back(1); for(int i=1;i<=n;i++){ kaijou.push_back(kaijou[i-1]*i); } mint b=kaijou[n].inv(); kaijou_.push_front(b); for(int i=1;i<=n;i++){ int k=n+1-i; kaijou_.push_front(kaijou_[0]*k); } } mint combination(int n,int r){ if(r>n)return 0; mint a = kaijou[n]*kaijou_[r]; a *= kaijou_[n-r]; return a; } mint junretsu(int a,int b){ mint x = kaijou_[a]*kaijou_[b]; x *= kaijou[a+b]; return x; } mint catalan(int n){ return combination(2*n,n)/(n+1); } }; int main(){ combi C(1000000); mint ans = 0; int N,M; cin>>N>>M; ans = mint(M).pow(N*2); ans *= M; for(int t=1;t<=200005;t++){ if(t-1>N)break; mint temp = C.combination(N,t-1); temp *= mint(2).pow(t-1); if(t>M)break; temp *= C.combination(M,t); temp *= C.kaijou[t-1]; temp *= mint(M-t).pow((N-(t-1))*2); if(t>=3){ temp *= mint(t).pow(t-2); } ans -= temp; } cout<