#include #include #include using namespace atcoder; using Mint = modint998244353; #define rep(i, n) for (int i = 0; i < (int)(n); i++) int main(){ int N, M; scanf("%d %d", &N, &M); Mint answer = -(Mint((M+1)<<1).pow(N)); Mint fact[N+3]; fact[0] = Mint::raw(1); for (int i = 1; i <= N+2; i++) fact[i] = fact[i-1]*Mint::raw(i); Mint ifact[N+3]; ifact[N+2] = fact[N+2].inv(); for (int i = N+2; (i); i--) ifact[i-1] = ifact[i]*Mint::raw(i); for (int i = 0, lim = std::min(M+1, N); i <= lim; i++) { if(i&1) answer -= Mint((M<<1)-i+1).pow(N)*fact[lim+2]*ifact[i+2]*ifact[lim-i]*Mint::raw(i+1); else answer += Mint((M<<1)-i+1).pow(N)*fact[lim+2]*ifact[i+2]*ifact[lim-i]*Mint::raw(i+1); } printf("%u\n", answer.val()); return 0; }