#include <bits/stdc++.h>
#pragma GCC target "avx512dq"
#pragma GCC unroll 99
using ll = long long;
const int mod = 998244353;
int main() {
std::cin.tie(0)->sync_with_stdio(0);
int n;
std::cin >> n;
std::vector<int> f(n + 1), g(n + 1);
f[0] = 1;
for (int i = 1; i <= n; i <<= 1) {
for (int j = i; j <= n; j++)
f[j] = (f[j] + f[j - i]) % mod;
}
g[0] = 1;
for (int i = 1; i <= n; i++) {
for (int k = 1; k * 2 <= i; k <<= 1) {
if ((i - k * 2) % k == 0) (g[i] += (ll)f[k] * g[(i - k * 2) / k] % mod) %= mod;
}
}
for (int i = 1; i <= n; i++) {
int ans = 0;
for (int k = 1; k <= i; k <<= 1)
if (i - k - i % k >= 0) {
int x = k - i % k;
if (std::__lg((i + x) / 2) == std::__lg((i - x) / 2)) continue;
(ans += (ll)f[i % k] * g[(i - i % k - k) / k] % mod) %= mod;
}
std::cout << ans << '\n';
}
}