#include #define FOR(i, n, m) for (long long i = (n); i < (long long)(m); i++) #define REP(i, n) FOR(i, 0, n) #define ALL(v) v.begin(), v.end() #define pb push_back using namespace std; using ll = long long; using ld = long double; using P = pair; constexpr ll inf = 1000000000; constexpr ll mod = 998244353; constexpr ld eps = 1e-6; template ostream &operator<<(ostream &os, pair p) { os << to_string(p.first) << " " << to_string(p.second); return os; } template ostream &operator<<(ostream &os, vector &v) { REP(i, v.size()) { if (i) os << " "; os << v[i]; } return os; } struct modint { long long n; public: modint(const long long n = 0) : n((n % mod + mod) % mod) {} static modint pow(modint a, int m) { modint r = 1; while (m > 0) { if (m & 1) { r *= a; } a = (a * a); m /= 2; } return r; } modint &operator++() { *this += 1; return *this; } modint &operator--() { *this -= 1; return *this; } modint operator++(int) { modint ret = *this; *this += 1; return ret; } modint operator--(int) { modint ret = *this; *this -= 1; return ret; } modint operator~() const { return (this->pow(n, mod - 2)); } // inverse friend bool operator==(const modint &lhs, const modint &rhs) { return lhs.n == rhs.n; } friend bool operator<(const modint &lhs, const modint &rhs) { return lhs.n < rhs.n; } friend bool operator>(const modint &lhs, const modint &rhs) { return lhs.n > rhs.n; } friend modint &operator+=(modint &lhs, const modint &rhs) { lhs.n += rhs.n; if (lhs.n >= mod) lhs.n -= mod; return lhs; } friend modint &operator-=(modint &lhs, const modint &rhs) { lhs.n -= rhs.n; if (lhs.n < 0) lhs.n += mod; return lhs; } friend modint &operator*=(modint &lhs, const modint &rhs) { lhs.n = (lhs.n * rhs.n) % mod; return lhs; } friend modint &operator/=(modint &lhs, const modint &rhs) { lhs.n = (lhs.n * (~rhs).n) % mod; return lhs; } friend modint operator+(const modint &lhs, const modint &rhs) { return modint(lhs.n + rhs.n); } friend modint operator-(const modint &lhs, const modint &rhs) { return modint(lhs.n - rhs.n); } friend modint operator*(const modint &lhs, const modint &rhs) { return modint(lhs.n * rhs.n); } friend modint operator/(const modint &lhs, const modint &rhs) { return modint(lhs.n * (~rhs).n); } }; istream &operator>>(istream &is, modint m) { is >> m.n; return is; } ostream &operator<<(ostream &os, modint m) { os << m.n; return os; } using mi = modint; long long mod_pow(__int128 a, __int128 n, __int128 m = mod) { __int128 ret = 1; __int128 tmp = a; while (n > 0) { if (n % 2) ret *= tmp; ret %= m; tmp = tmp * tmp; tmp %= m; n /= 2; } return ret % m; } constexpr int MAX_N = 2020202; mi mod_fact[MAX_N + 1]; mi mod_fact_i[MAX_N + 1]; mi mod_comb(long long n, long long k) { static bool initialized = false; if (n < 0 || k < 0 || n < k) return 0; if (not initialized) { mod_fact[0] = 1; for (int i = 1; i <= MAX_N; ++i) { mod_fact[i] = i * mod_fact[i - 1]; } mod_fact_i[MAX_N] = mod_pow(mod_fact[MAX_N].n, mod - 2); for (int i = MAX_N - 1; i >= 0; --i) { mod_fact_i[i] = mod_fact_i[i + 1] * (i + 1); } initialized = true; } return mod_fact[n] * mod_fact_i[n - k] * mod_fact_i[k]; } int main() { cin.tie(0); ios::sync_with_stdio(false); int n; cin >> n; vector fact(2 * n); fact[0] = fact[1] = 1; FOR(i, 1, 2 * n) fact[i] = i * fact[i - 1]; for (int k = 1; k <= n; k++) { mi ans = fact[n] * (n - k + 1) * n; ans -= fact[n - k + 1] * fact[k] * mod_comb(n, k + 1); cout << ans << endl; } return 0; }