#include "cave.h"
#include <bits/stdc++.h>
using namespace std;
#define pii pair<int,int>
#define x first
#define y second
void exploreCave(int N) {
int s[N], d[N];
pii door[N];
for(int i=0 ; i<N ; i++)
{
for(int j=0 ; j<N ; j++) s[j] = 0;
for(int j=0 ; j<i ; j++) s[door[j].x] = door[j].y;
int start = tryCombination(s);
int bit;
(start != i) ? bit = 0 : bit = 1;
int l = 0, r = N-1;
while(l != r)
{
int mid = (l+r)>>1;
for(int j=0 ; j<N ; j++) s[j] = (bit^1);
for(int j=l ; j<=mid ; j++) s[j] = bit;
for(int j=0 ; j<i ; j++) s[door[j].x] = door[j].y;
int ret = tryCombination(s);
(ret != i) ? r = mid : l = mid+1;
}
door[i] = make_pair(l, bit);
}
for(int i=0 ; i<N ; i++)
{
s[door[i].x] = door[i].y;
d[door[i].x] = i;
}
answer(s, d);
}
