#include "cave.h"
#include <bits/stdc++.h>
#define ll long long
#define pii pair<int,int>
#define pll pair<ll, ll>
#define vi vector<int>
#define vl vector<ll>
#define vll vector<pll>
#define vii vector<pii>
using namespace std;
void exploreCave(int n){
int door[n], guess[n], status[n];
memset(status,0,sizeof(status));
memset(guess,0,sizeof(guess));
memset(door,-1,sizeof(door));
for(int i = 0; i < n; i++){
int before_swap = tryCombination(status);
int l = 0, r = n - 1;
while(l != r){
bool ok = false;
int mid = (r + l) / 2;
for(int j = 0; j < n; j++){
if(j >= l && j <= mid){
if(door[j] != -1)
guess[j] = status[j];
else{
guess[j] = !status[j];
ok = true;
}
}
else
guess[j] = status[j];
}
int K = before_swap;
if(ok)
K = tryCombination(guess);
if(before_swap == i){
if(K > i || K == -1)
r = mid;
else
l = mid + 1;
}
else{
if(K == i)
r = mid;
else
l = mid + 1;
}
}
door[l] = i;
if(before_swap == i)
status[l] = !status[l];
}
answer(status,door);
}
