// #pragma GCC target("avx2") // #pragma GCC optimize("O3") // #pragma GCC optimize("unroll-loops") #include using namespace std; using uint = unsigned int; using ll = long long; using ull = unsigned long long; using ld = long double; template using V = vector; template using VV = V>; template using VVV = V>; template using VVVV = VV>; #define rep(i,n) for(ll i=0ll;(i)<(n);(i)++) #define REP(i,a,n) for(ll i=(a);(i)<(n);(i)++) #define rrep(i,n) for(ll i=(n)-1;(i)>=(0ll);(i)--) #define RREP(i,a,n) for(ll i=(n)-1;(i)>=(a);(i)--) const long long INF = (1LL << 60); const long long mod99 = 998244353; const long long mod107 = 1000000007; const long long mod = mod99; #define eb emplace_back #define be(v) (v).begin(),(v).end() #define all(v) (v).begin(),(v).end() #define foa(i,v) for(auto& (i) : (v)) #define UQ(v) sort(be(v)), (v).erase(unique(be(v)), (v).end()) #define UQ2(v,cmp) sort(be(v)), (v).erase(unique(be(v),cmp), (v).end()) #define UQ3(v,cmp) sort(be(v),cmp), (v).erase(unique(be(v)), (v).end()) #define UQ4(v,cmp,cmp2) sort(be(v), cmp), (v).erase(unique(be(v),cmp2), (v).end()) #define LB(x,v) (lower_bound(be(v),(x))-(v).begin()) #define LB2(x,v,cmp) (lower_bound(be(v),(x),(cmp))-(v).begin()) #define UB(x,v) (upper_bound(be(v),(x))-(v).begin()) #define UB2(x,v,cmp) (upper_bound(be(v),(x),(cmp))-(v).begin()) #define dout() cout << fixed << setprecision(20) #define randinit() srand((unsigned)time(NULL)) template bool chmin(T& t, const U& u) { if (t > u){ t = u; return 1;} return 0; } template bool chmax(T& t, const U& u) { if (t < u){ t = u; return 1;} return 0; } ll Rnd(ll L=0, ll R=mod99){return rand()%(R-L)+L;} #include #include using namespace atcoder; using mint = modint998244353; void solve(){ ll n; cin >> n; VV v(19); v[0] = {0, 1}; v[1] = {mint(1)/2, 0, mint(1)/2}; REP(i, 1, 17){ auto c = convolution(v[i], v[i]); auto w = v[i]; auto d = convolution(v[i], w); ll m = w.size(); ll nn = d.size(); v[i+1].resize(nn, 0); rep(j, nn) v[i+1][j] = c[j] / 2; rep(j, nn) v[i+1][abs(j-nn/2)] += d[j] / 2; // cout << nn << endl; // if(i <= 5){ // for(auto x:v[i]) cout << x.val() << ' '; // cout << endl; // } } V ans; for(ll i=17; i>=0; i--) if(n>>i&1){ if(ans.empty()) ans = v[i]; else if(i){ auto c = convolution(ans, v[i]); reverse(be(ans)); auto d = convolution(v[i], ans); ll m = d.size(); ll nn = ans.size(); rep(j, m) c[j] /= 2; rep(j, m) c[abs(j-nn+1)] += d[j] / 2; swap(ans, c); }else{ ll m= ans.size()+1; V vv(m, 0); rep(i, m-1) vv[i+1] = ans[i] / 2; rep(i, m-1) vv[abs(i-1)] += ans[i]/ 2; swap(vv, ans); } // for(auto x:ans) cout << x.val() << ' '; // cout << endl; } mint m = 2; m = m.pow(n); rep(i, n+1) cout << (ans[i]*m).val() << " \n"[i==n]; } int main(){ cin.tie(nullptr); ios::sync_with_stdio(false); int t=1; // cin >> t; rep(i,t) solve(); }