#include<bits/stdc++.h>
#include "cave.h"
using namespace std;
void exploreCave(int N){
vector<int> unprocessed;
for(int i = 0; i < N; i++) unprocessed.push_back(i);
int vask[N]={}, S[N]={};
int D[N]={};
for(int i = 0; i < N; i++){
for(int x : unprocessed) vask[x] = 0;
S[i] = 1;
if(tryCombination(vask)!=i){
for(int x : unprocessed) vask[x] = 1;
S[i] = 0;
}
int pos = -1;
int l = 0, r = unprocessed.size()-1;
while(l<=r){
int m = (l+r)>>1;
for(int j = 0; j <= m; j++) vask[unprocessed[j]] = 1-vask[unprocessed[j]];
int ret = tryCombination(vask);
if(ret==i) pos = m, l = m+1;
else r = m-1;
for(int j = 0; j <= m; j++) vask[unprocessed[j]] = 1-vask[unprocessed[j]];
}
D[i] = pos+1;
unprocessed.erase(unprocessed.begin()+pos+1);
}
answer(S, D);
}
