#include <bits/stdc++.h>
#include "cave.h"
using namespace std;
using ll = long long;
using vi = vector<int>;
using vvi = vector<vector<int>>;
using pii = pair<int, int>;
using vll = vector<long long>;
using vvll = vector<vector<long long>>;
using vstr = vector<string>;
using str = string;
#define PB push_back
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, s, f) for (int(i) = (s); i < (f); (i)++)
#define ROF(i, s, f) for (int(i) = (s); i > (f); (i)--)
#define loop(x) for (int i = 0; i < (x); i++)
#define all(x) x.begin(), x.end()
str to_bin(int a){
    return bitset<13>(a).to_string();
}
vector<int> permu(int a, int n){
    vector<int> ans;
    FOR(i,0,n){
        if(to_bin(i)[a] == 1) ans.PB(i);
    }
    return ans;
}
//void answer(int S[],int D[]);
//int tryCombination(int S[]);
void exploreCave(int n){
    
    vector<int> paky(n,1);
    vector<int> doterajsie= {};
    int res1[n];
    FOR(i,0,n){
        str tento = "0000000000000";
        vi komb = doterajsie;
        FOR(j,0,13){
            vector<int> komb(n, 0);
            for(auto k : permu(i, n)){
                if(k >=i) komb[k] = 1;
            }
            FOR(i,0,n) res1[i] = komb[i];
            int vyskusane = tryCombination(res1);
            if (vyskusane == -1 or vyskusane > i){
                tento[j] = 1;
            } 
        }
        doterajsie.PB(stoi(tento, nullptr, 2));
        
    }
    
    int polohy[n];
    FOR(i,0,n) polohy[i] = 0;
    FOR(i,0,n){
        int vyskusane = tryCombination(polohy);
        if(vyskusane<i) polohy[doterajsie[i]] = 1;
        
    }        
    int res2[n];
    FOR(i,0,n) res2[i] = doterajsie[i];
    answer(polohy,res2);
}
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