#include "cave.h"
#include<bits/stdc++.h>
using namespace std;
void exploreCave(int N) {
int s[N];
int d[N];
int marc[N];
for(int i = 0; i < N; i++) {
s[i] = 0;
d[i] = -1;
marc[i] = 0;
}
int prev = tryCombination(s);
for(int i = 0; i < N; i++) {
int l = 0, r = N-1;
while(l != r) {
int mid = (l+r)/2;
for(int i = 0; i <= mid; i++) if(!marc[i]) s[i] = 1 - s[i];
int cur = tryCombination(s);
if((cur == i && prev != i) || (cur != i && prev == i)) r = mid;
else l = min(r,mid + 1);
prev = cur;
}
if(prev == i) s[l] = 1 - s[l];
marc[l] = 1;
d[l] = i;
}
answer(s,d);
}
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