MOD = 998244353 def main(): import sys K = int(sys.stdin.readline()) max_n = 2 * K # Precompute factorial and inverse factorial modulo MOD factorial = [1] * (max_n + 1) for i in range(1, max_n + 1): factorial[i] = factorial[i-1] * i % MOD inv_fact = [1] * (max_n + 1) inv_fact[max_n] = pow(factorial[max_n], MOD-2, MOD) for i in range(max_n-1, -1, -1): inv_fact[i] = inv_fact[i+1] * (i+1) % MOD c = [0] * (2*K + 1) for a in range(1, K+1): two_a = 2 * a # Compute C(2a, a) C = factorial[two_a] * inv_fact[a] % MOD C = C * inv_fact[a] % MOD denominator = (two_a + 1) * C % MOD inv_den = pow(denominator, MOD-2, MOD) c[two_a] = (c[two_a] + inv_den) % MOD output = [] for i in range(2*K + 1): output.append(str(c[i])) print(' '.join(output)) if __name__ == '__main__': main()