#include #include #include using namespace std; using namespace atcoder; using mint = modint998244353; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf32 1000000001 #define Inf64 1000000000000000001 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); } }; combi C(1000000); int main(){ int N,K; cin>>N>>K; vector t(K+1,0); vector x(K+1,0); rep(i,K+1){ t[i] = mint(i).pow(N); t[i] *= C.kaijou_[i]; x[i] = C.kaijou_[i]; if(i%2==1)x[i] *= -1; } t = convolution(t,x); rep(i,t.size())t[i] *= C.kaijou[i]; mint ans = 0; for(int i=1;i<=K;i++){ if((K-i)%2==0)continue; ans += t[i] * C.combination(K,i); } cout<