# coding: utf-8
# Your code here!
MOD=998244353

N=int(input())

dp=[[0 for _ in range(2*N+1)] for _ in range(2*N+1)]
dp[0][0]=1


for i in range(2*N+1):
    for j in range(2*N-i+1):
        if i>=2:
            dp[i][j]+=dp[i-2][j]*(i-1)*(i-2)//2
            
        if j>=2:
            dp[i][j]+=dp[i][j-2]*(j-1)*(j-2)//2
            
        
        if i>=1 and j>=1:
            dp[i][j]+=dp[i-1][j-1]*((i-1)*(j-1)+1)
            
        dp[i][j]%=MOD

    print(dp[i][j])