#include "bits/stdc++.h"
#include"cave.h"
using namespace std;
#define ll long long
#define forn(i,n) for(int i=0;i<n;i++)
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(),v.rend()
#define pb push_back
#define sz(a) (int)a.size()
/*
int tryCombination(vector<int> s){return 0;}
void answer(vector<int> s, vector<int> k){return;}
*/
void exploreCave(int n){
int door[n], color[n];
if(n == 1){
door[0] = 0;
color[0] = 0;
if(tryCombination(color) == 0)color[0] = !color[0];
answer(color, door);
return;
}
for(int i = 0;i < n; ++i){
color[i] = 0, door[i] = -1;
}
for(int pizza = 0;pizza < n; ++pizza){
for(int i = 0;i < n; ++i)
if(door[i] == -1)color[i] = 0;
int f = tryCombination(color);
int l = 0, r = n - 1, c = 1;
while(l < r){
if(f == -1 || f > pizza){
//door opens
}else{
for(int i = l;i <= r; ++i){
if(door[i] == -1)color[i] = !color[i];
}
}
int mid = (l + r) / 2;
for(int i = l;i <= mid; ++i){
if(door[i] == -1)color[i] = !color[i];
}
f = tryCombination(color);
if(f == pizza){
//closed door
r = mid;
c = !color[l];
}else{
l = mid + 1;
c = color[l];
}
}
door[l] = pizza;
color[l] = c;
}
answer(color, door);
}
/*
void solve()
{
}
int32_t main()
{
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
int t = 1;
//cin >> t;
while(t--)
{
solve();
}
}
*/
