#include<bits/stdc++.h>
#define ri register signed
#define p(i) ++i 
using namespace std;
namespace IO{
    char buf[1<<21],*p1=buf,*p2=buf,OPUT[100];
    #define gc() p1==p2&&(p2=(p1=buf)+fread(buf,1,1<<21,stdin),p1==p2)?(-1):*p1++
    template<typename T>inline void read(T &x) {
        ri f=1;x=0;register char ch=gc();
        while(!isdigit(ch)) {if (ch=='-') f=0;ch=gc();}
        while(isdigit(ch)) {x=(x<<1)+(x<<3)+(ch^48);ch=gc();}
        x=f?x:-x;
    } 
    template<typename T>inline void print(T x,char t) {
        if (x<0) putchar('-'),x=-x;
        if (!x) return putchar('0'),(void)putchar(t);     
        ri cnt(0);
        while(x) OPUT[p(cnt)]=x%10,x/=10;
        for (ri i(cnt);i;--i) putchar(OPUT[i]^48);
        return (void)putchar(t);   
    }
}
using IO::read;using IO::print;
namespace nanfeng{
    #define FI FILE *IN
    #define FO FILE *OUT
    template<typename T>inline T cmax(T x,T y) {return x>y?x:y;}
    template<typename T>inline T cmin(T x,T y) {return x>y?y:x;}
    typedef long long ll;
    static const int N=5e3+7,MOD=123456789;
    int h[N],f[N],g[N],n; 
    ll ans;
    template<typename T>inline void MD(T &x) {x=x>=MOD?x-MOD:x;}
    inline int main() {
        //FI=freopen("nanfeng.in","r",stdin);
        //FO=freopen("nanfeng.out","w",stdout);
        read(n);
        f[0]=g[1]=h[1]=1;
        for (ri i(2);i<=n;p(i)) {
            f[i]=f[i-1]+f[i-2],MD(f[i]);
            g[i]=g[i-1]+g[i-2],MD(g[i]);
            h[i]=h[i-1]+g[i],MD(h[i]);
        }
        int l(n<<1);--n;
        for (ri i(1);i<=l;p(i)) {
            register ll tmp(0);
            for (ri j(0);j<=n-i;p(j)) tmp+=f[j],MD(tmp);
            ans=tmp*f[i]%MOD;
            ri p=cmin(i,n),q=cmax(i-n,1);
            for (ri j(q);j<p;p(j)) 
                ans=(ans+(ll)f[j]*f[i-j-1]%MOD*h[cmin(n-j,n-i+j)]%MOD),MD(ans);
            print(ans,' ');
        }
        return 0;
    }
}
int main() {return nanfeng::main();}