#include "cave.h"
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
#define M_PI 3.14159265358979323846
#define FILER 0
using ll = long long;
using ull = unsigned long long;
using ld = long double;
const ll MOD = pow(10, 9) + 7;
const ll INFL = 0x3f3f3f3f3f3f3f3f;
const ull INFUL = 0x3f3f3f3f3f3f3f3f;
const ll INFT = 0x3f3f3f3f;
const ull MAX = 1LL << 24;
const ll MODD = 998244353;
const double EPS = 1e-10;
#define V vector
#define pll pair<ll, ll>
#define pull2 pair<ull,ull>
#define MS multiset
#define M map
#define Q queue
#define PQ priority_queue
#define IOF ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
#define FOR(typ,i,a,b,c) for(typ i = a; i < b; i += c)
#define FORR(typ,i,a,b,c) for(typ i = a; i > b; i -= c)
#define FORA(a,i) for(auto &i : a)
#define all(v) v.begin(),v.end()
#define sz(v) v.size()
#define sorta(a) sort(all(a))
#define sortd(a) sort(all(a), greater<ll>())
#define setp(x) setprecision(x)<<fixed
#define RET return
#define log(a,b) log(b)/log(a)
#define WH(s) while(s)
#define WHI(t) WH(t--)
#define YES cout<<"YES"<<endl;
#define NO cout<<"NO"<<endl;
#define Yes cout<<"Yes"<<endl;
#define No cout<<"No"<<endl;
#define YESNO(s) cout << (s ? "YES" : "NO") << endl;
#define YesNo(s) cout<<(s?"Yes":"No")<<endl;
#define TYP 0
using namespace std;
V<ll> a;
void exploreCave(int N) {
V<int> s, d;
V<bool> isc;
d.resize(N); s.resize(N); isc.resize(N);
ll i = 0, j = 0, j1 = 0;
WH(1)
{
j = tryCombination(&s[0]);
if (j == -1)break;
FOR(ll, k, 0, N, 1)
{
if (!isc[k])
{
s[k] ^= 1;
if ((j1 = tryCombination(&s[0])) > j || j1 == -1) {
isc[k] = 1; break;
}
if (j1 < j)isc[k] = 1;
// isc[k] = 1;
s[k] ^= 1;
}
}
}
i = 0, j = 0, j1 = 0;
WH(i < N)
{
s[i] ^= 1;
j = tryCombination(&s[0]);
d[i] = j;
s[i] ^= 1;
i++;
}
answer(&s[0], &d[0]);
}
