#include "cave.h"
#include <bits/stdc++.h>
using namespace std;
void exploreCave(int N) {
int S[N],D[N];
memset(D,-1,sizeof D);
for(int i=0;i<N;++i){
for(int j=0;j<N;++j) if(D[j]==-1) S[j]=0;
int q=tryCombination(S);
bool k=(q==-1||q>i);
int l=0,r=N-1,m,ans;
while(l<=r){
m=(l+r)>>1;
for(int j=0;j<N;++j) if(D[j]==-1)
S[j]=(m<=j&&j<=r?k^1:k);
int q=tryCombination(S);
if(q==-1||q>i) ans=m,l=m+1;
else r=m-1;
}
S[ans]=k^1,D[ans]=i;
}
answer(S,D);
}
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