#include "cave.h"
#include <bits/stdc++.h>
using namespace std;
bool vis[5005];
void exploreCave(int N) {
int S[N], D[N];
for(int i = 0; i < N; ++i) {
int cor;
vector<int> p;
for(int j = 0; j < N; ++j) if (!vis[j]) p.push_back(j);
for(int j = 0; j < N-i; ++j) S[p[j]] = 0;
if (tryCombination(S)==i) cor = 1;
else cor = 0;
for(int j = 0; j < N-i; ++j) S[p[j]] = cor^1;
int l=0, r=N-i-1;
while (l<r) {
int mid = (l+r)/2;
for (int j = l; j <= mid; ++j) S[p[j]] = cor;
int res = tryCombination(S);
for (int j = l; j <= mid; ++j) S[p[j]] = cor^1;
if (res==i) l=mid+1;
else r=mid;
} D[p[l]] = i; S[p[l]] = cor; vis[p[l]] = true;
}
answer(S,D);
}
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