#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define FOR(i,N) for(ll i = 0; i < N; i++)
#define all(x) (x).begin(), (x).end()
// #define F first
// #define S second
#include "cave.h"
int N;
int S[5005], D[5005]; // D[i] door that switch i is linked to
void skibidi(int d) {
int ret = tryCombination(S);
int l = 0, r = N;
while(l < r) {
int m = (l + r) / 2;
for(int i = l; i <= m; i++) {
if (D[i] != -1) S[i] = 1 - S[i];
}
if (tryCombination(S) == ret) {
r = m;
} else {
l = m + 1;
}
}
D[l] = d;
}
void exploreCave(int N) {
::N = N;
fill(D, D+5005, -1);
FOR(door, N) skibidi(door);
answer(S, D);
}
// signed main() {
// cin.tie(0); ios::sync_with_stdio(false);
// }
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