#include "cave.h"
#include <bits/stdc++.h>
using namespace std;
const int MAXN =5005;
int ans[MAXN], v[MAXN], s[MAXN];
void exploreCave(int n) {
for(int i = 0; i < n; i++)ans[i] = -1;
for(int i = 0; i < n; i++){
int l = 0, r = n-1;
int x;
for(int j = 0; j < n; j++){
if(ans[j] == -1)s[j] = 1;
else s[j] = ans[j];
}
int temp = tryCombination(s);
if(temp > i || temp == -1)x = 1;
else x = 0;
while(l != r){
int mid = (l+r)/2;
for(int j = 0; j <= mid; j++){
if(ans[j] == -1)s[j] = x;
else s[j] = ans[j];
}
for(int j = mid+1; j < n; j++){
if(ans[j] == -1)s[j] = (x+1)%2;
else s[j] = ans[j];
}
temp = tryCombination(s);
if(temp > i || temp == -1)r = mid;
else l = mid+1;
}
ans[l] = x;
v[l] = i;
}
answer(ans,v);
}
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