#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 4000000000000000001 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(){ int N; cin>>N; vector dp(N+1,vector(N+1,0)); dp[0][0] = 1; rep(i,N){ rep(j,N+1){ if(j!=N)dp[i+1][j+1] += dp[i][j]; dp[i+1][j] += dp[i][j] * j; } } combi C(50000); mint ans = 1; for(int i=1;i<=N;i++){ for(int j=1;j<=i;j++){ mint t = C.combination(N,i); t *= dp[i][j]; t *= (mint(2).pow(j)-j).pow(N-i); ans += t; } } cout<