#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 1000000005 #define Inf64 4000000000000000001LL 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; cin>>n; vector dp(n+1); dp[n] = 1; vector E(n+1); for(int i=n;i>=2;i--){ mint Gyaku = (mint(2).pow(i) - 2).inv(); for(int j=1;j<=i-1;j++){ dp[i-j] += dp[i] * C.combination(i,j) * Gyaku; } E[i] = (mint(2).pow(i) - 2) * 3; E[i] /= mint(3).pow(i); E[i] = E[i].inv(); } for(int i=1;i<=n;i++){ mint ans = 0; for(int j=i+1;j<=n;j++)ans += E[j] * dp[j]; if(i!=1)cout<<' '; cout<