#include "cave.h"
#include<bits/stdc++.h>
using namespace std;
void exploreCave(int n) {
auto norm = [&](int x) -> int {
if (x == -1 || x == 0) return -1;
return x - 1;
};
vector<int> s(n, 0);
vector<int> use(n, 0);
vector<int> dswitch(n, -1);
vector<int> state(n, 0);
for(int i=0; i<n; i++){
vector<int>c;
for(int j=0; j<n; j++){
if(!use[j]){
c.push_back(j);
}
}
fill(s.begin(), s.end(), 0);
for(int j=0; j<i; j++){
s[dswitch[j]]=state[j];
}
int base=norm(tryCombination(s.data()));
bool doorOpen=(base==-1 or base>i);
if(doorOpen){
for(int x : c){
s[x]=1;
}
}
int l=0, r=(int)c.size()-1;
int find=-1;
while(l<=r){
int m=(l+r)/2;
vector<int> s2=s;
for(int j=l; j<=m; j++){
s2[c[j]]^=1;
}
int res=norm(tryCombination(s2.data()));
if(res==-1 or res>i){
find=c[m];
r=m-1;
}else{
l=m+1;
}
}
if(find==-1){
return;
}
vector<int> s3=s;
s3[find]^=1;
int res2=norm(tryCombination(s3.data()));
int need;
if(res2==-1 or res2>i){
need=s3[find];
}else{
need=s[find];
}
use[find]=1;
dswitch[i]=find;
state[i]=need;
}
answer(dswitch.data(), state.data());
}
