#include <bits/stdc++.h>
#include "cave.h"
using namespace std;
void exploreCave(int N) {
vector<int> S(N, 0);
vector<int> D(N, -1);
vector<int> u(N, 0);
for (int d = 0; d < N; d++) {
vector<int> c;
for (int i = 0; i < N; i++) {
if (!u[i]) c.push_back(i);
}
int l = 0, r = (int)c.size() - 1;
while (l < r) {
int mid = (l + r) / 2;
for (int i = l; i <= mid; i++) {
S[c[i]] ^= 1;
}
int res = tryCombination(S.data());
if (res == -1 || res > d) {
r = mid;
} else {
l = mid + 1;
}
for (int i = l; i <= mid; i++) {
S[c[i]] ^= 1;
}
}
int w = c[l];
u[w] = 1;
D[w] = d;
S[w] ^= 1;
int res = tryCombination(S.data());
if (res != -1 && res <= d) {
S[w] ^= 1;
}
}
answer(S.data(), D.data());
}
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