#define F first
#define S second
#define rep(i,a,b) for(int i=a;!(a==b&&i!=b)&&((i<=b&&b>=a)||(i>=b&&a>=b));i+=(a<=b?1:-1))
#define pb push_back
#define Fbitl __builtin_ffs
#define bit1 __builtin_popcount
//#include <bits/stdc++.h>
#include <iostream>
#include <math.h>
#include <algorithm>
#include <string.h>
#include <vector>
#include <queue>
#include <map>
#include <unordered_map>
#include "cave.h"
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<string, string> pss;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<pii> vii;
typedef vector<ll> vl;
typedef vector<vl> vvl;
void exploreCave(int N) {
int com[N] , ans2[N] ;
for(int i=0;i<N;i++) {
com[i] = 0;
ans2[i] = i ;
}
while(true) {
int a = tryCombination(com);
if (a == -1) {
answer(com,ans2);
}
else {
com[a] = 1 ;
}
}
}
