#include <bits/stdc++.h>
#include "cave.h"
using namespace std;
#define all(x) (x).begin(), (x).end()
#define ll long long int
#define pii pair <int, int>
#define pb push_back
#define ff first
#define ss second
const int N = 5e3+5;
int vis[N];
void exploreCave(int n){
int S[n], D[n];
for (int i = 0; i < n; i++){
S[i] = 0;
}
int x = tryCombination(S);
for (int i = 0; i < n; i++){
int l = 0, r = n-1, pos = 0;
while(l <= r){
int md = (l+r)>>1;
for (int j = md; j < n; j++){
if (!vis[j]) S[j] = !S[j];
}
int new_x = tryCombination(S);
if (i == x){
if (new_x == x) r = md - 1;
else{
pos = md;
l = md + 1;
}
}else{
if (new_x == x){
pos = md;
l = md + 1;
}else r = md - 1;
}
for (int j = md; j < n; j++){
if (!vis[j]) S[j] = !S[j];
}
}
D[i] = pos;
vis[pos] = 1;
if (i == x) S[pos] = !S[pos];
}
answer(S, D);
}
// int main ()
// {
// ios::sync_with_stdio(false);
// cin.tie(0);
// cin >> t;
// while (t--){
// }
// }
