#include using namespace std; const long long MOD = 998244353; int main(){ int N; cin >> N; vector> dp(N + 1); for (int i = 0; i <= N; i++){ dp[i] = vector(i * 2 + 1, 0); } dp[0][0] = 1; for (int i = 1; i <= N; i++){ for (int j = 1; j < i * 2; j++){ dp[i][j] = dp[i - 1][j - 1]; if (j >= 3){ dp[i][j] += dp[i - 1][j - 2] * (j - 1) * (j - 2) / 2; dp[i][j] %= MOD; } dp[i][j] += dp[i - 1][j - 1] * (j - 1) * (i * 2 - 1 - j); dp[i][j] %= MOD; if (j < i * 2 - 2){ dp[i][j] += dp[i - 1][j] * (i * 2 - 1 - j) * (i * 2 - 2 - j) / 2; dp[i][j] %= MOD; } } } for (int i = 0; i <= N * 2; i++){ cout << dp[N][i] << endl; } }