#include "cave.h"
#include <bits/stdc++.h>
using namespace std;
void exploreCave(int N) {
int S[N];
int P[N];
for (int i = 0; i < N; i++) {
S[i] = 0;
P[i] = -1;
}
vector<int> S_unk;
for (int i = 0; i < N; i++) S_unk.push_back(i);
while (true) {
int j = tryCombination(S);
if (j == -1) break;
int l = 0, r = S_unk.size() - 1;
while (l < r) {
int m = (l + r) / 2;
for (int k = 0; k <= m; k++)
S[S_unk[k]] = 1 - S[S_unk[k]];
int res = tryCombination(S);
if (res > j) r = m;
else l = m + 1;
for (int k = 0; k <= m; k++)
S[S_unk[k]] = 1 - S[S_unk[k]];
}
int idx = S_unk[l];
S[idx] = 1 - S[idx];
P[j] = idx;
S_unk.erase(S_unk.begin() + l);
}
answer(S, P);
}
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