DSA01026 - PHÁT LỘC

//Made By Phuong Nam PROPTIT <3//
#pragma GCC Optimize("O3")
#include<bits/stdc++.h>
#include<string>
#include<vector>
#define alphaa "abcdefghijklmnopqrstuvwxyz"
#define ALPHAA "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
#define f(i,a,b) for(int i=a;i<=b;i++)
#define f1(i,n) for(int i=1;i<=n;i++)
#define f0(i,n) for(int i=0;i<n;i++)
#define ff(i,b,a) for(int i=b;i>=a;i--)
#define el cout<<'\n'
#define fi first
#define se second
#define pb push_back
#define pk pop_back
#define vi vector<int>
#define vl vector<ll>
#define pii pair<int,int>
#define pll pair<ll,ll>
#define all(s) s.begin(),s.end()
using namespace std;
typedef long long ll;
const int N=1e6+3;
const int MOD=1e9+7;
template<class X,class Y>
    void minimize(X &x,const Y &y) {
        if (x>y) x=y;
    }
template<class X,class Y>
    void maximize(X &x,const Y &y) {
        if (x<y) x=y;
    }
template<class T>
    T Abs(const T &x) {
        return (x<0?-x:x);
    }
int n,a[20];
vector<string>v;
void day()
{
    if(a[1]!=8||a[n]!=6) return;
    int d6=0,d8=0;
    f1(i,n)
    {
        if(a[i]==8)
        {
            int dem=0;
            while(a[i]==8) dem++,i++;
            i--;
            if(dem>=2) return;
        }
        if(a[i]==6)
        {
            int dem=0;
            while(a[i]==6) dem++,i++;
            i--;
            if(dem>=4) return;
        }
    }
    string k="";
    f1(i,n) k=k+char(a[i]+'0');
    v.pb(k);
}
void sinh(int u)
{
    if(u>n) day();
    else
    {
        a[u]=6;
        sinh(u+1);
        a[u]=8;
        sinh(u+1);
    }
}
void xuly()
{
    cin>>n;
    sinh(1);
    sort(all(v));
    for(auto i:v) cout<<i<<'\n';
}
int main()
{
  ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
  int t=1;
  //cin>>t;
  while(t--) xuly();
  return 0;
}
//-----YEU CODE HON CRUSH-----//