#include<bits/stdc++.h> //:3
using namespace std;
typedef long long ll;
#define all(a) (a).begin(), (a).end()
#define ff first
#define ss second
#define pb push_back
#define mp make_pair
#define pi pair<int, int>
#define sz(x) (int)((x).size())
#include "cave.h"
const int dx[] = {0, 1, 0, -1};
const int dy[] = {1, 0, -1, 0};
const int N = 1e4 + 11;
int q[N], d[N], s[N];
vector<int>pos;
bool check(int l, int r, int t){
for(int i = l; i <= r; i++){
q[pos[i]] = !q[pos[i]];
}
int x = tryCombination(q);
for(int i = l; i <= r; i++){
q[pos[i]] = !q[pos[i]];
}
return (x > t || x == -1);
}
void exploreCave(int n){
memset(s, -1, sizeof(s));
for(int i = 0; i < n; i++){
int x = tryCombination(q);
pos.clear();
for(int j = 0; j < n && x != i; j++){
if(s[j] == -1){
q[j] = !q[j];
}
}
for(int j = 0; j < n; j++){
if(s[j] == -1){
pos.push_back(j);
}
}
int l = 0, r = sz(pos) - 1;
while(l < r){
int mid = (l + r) >> 1;
if(check(l, mid, i))r = mid;else l = mid + 1;
}
s[pos[l]] = q[pos[l]] = !q[pos[l]];
d[pos[l]] = i;
}
answer(s, d);
}
