#include "cave.h"
#include <bits/stdc++.h>
using namespace std;
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x);
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? ", " : ""), __print(i); cerr << "}";}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ", "; __print(x.second); cerr << '}';}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifdef DEBUG
#define dbg(x...) cerr <<__func__<<":"<<" [" << #x << "] = ["; _print(x); /*cerr << "\e[39m" << endl;*/
#else
#define dbg(x...)
#endif
// int tryCombination(int a[4]) {
// int sm = 0;
// if (a[2] == 1) {
// sm++;
// if (a[1] == 1) {
// sm++;
// if (a[3] == 0) {
// sm++;
// if (a[0] == 1) {
// sm++;
// }
// }
// }
// }
// if (sm == 4) return -1;
// else return sm;
// }
void exploreCave(int n) {
int pos[n], con[n], used[n];
for (int i=0; i<n; i++) {
// per a cada porta faig bs dels interruptors
int l = 0, r = n - 1;
int res = n - 1;
int on = (tryCombination(pos) == i);
while (l <= r) {
int m = l + (r - l) / 2;
bool can = 0;
for (int j=0; j<n; j++) {
if (used[j]) continue;
if (j>=l && j<=m) {
pos[j] = on;
} else {
pos[j] = 1 - on;
}
}
// for (auto x : pos) cerr << x << " ";
// cerr << endl;
int ans = tryCombination(pos);
if (ans >= i + 1 || ans == -1) {
can = 1;
}
for (int j=0; j<n; j++) {
if (used[j]) continue;
pos[j] = 0;
}
if (can) {
r = m - 1;
res = m;
} else {
l = m + 1;
}
//cerr << m << " " << l << " " << r << endl;
}
//dbg(res, on)
used[res] = 1;
pos[res] = on;
con[res] = i;
}
answer(pos, con);
// for (auto x : pos) cout << x << " ";
// cout << endl << endl;
// for (auto x : con) cout << x <<" ";
// cout << endl;
}
// int main() {
// exploreCave(4);
// }
