#include "cave.h"
#include <bits/stdc++.h>
using namespace std;
void exploreCave(int N) {
vector<int> s(N, 0), fix(N, 0), ans(N, -1);
vector<bool> used(N, false);
for (int i = 0; i < N; ++i) {
int known = tryCombination(s.data());
int l = 0, r = N - 1, door = -1;
while (l <= r) {
int mid = (l + r) / 2;
for (int j = 0; j < N; ++j) {
if (ans[j] != -1) {
s[j] = fix[j];
} else if (j <= mid) {
s[j] = 0;
} else {
s[j] = 1;
}
}
int res = tryCombination(s.data());
if (res == -1 || res > i) {
r = mid - 1;
} else {
door = res;
l = mid + 1;
}
}
ans[i] = door;
used[door] = true;
s = fix;
s[door] = 0;
int res0 = tryCombination(s.data());
fix[door] = (res0 == -1 || res0 > i) ? 0 : 1;
}
answer(fix.data(), ans.data());
}
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