#include <bits/stdc++.h>
#include "cave.h"
using namespace std;
 
using ll = long long;
using ull = unsigned long long;
using lld = long double;
using pii = pair<int,int>;
using pll = pair<ll, ll>;
 
using vi = vector<int>;
using vll = vector<ll>;
using vpii = vector<pii>;
using vpll = vector<pll>;
using vlld = vector<lld>;
 
// #define endl '\n'
#define all(x) x.begin(),x.end()
#define lsb(x) x&(-x)
#define gcd(a,b) __gcd(a,b)
#define sz(x) (int)x.size()
#define mp make_pair
#define pb push_back
#define fi first
#define se second
#define fls cout.flush()
 
#define fore(i,l,r) for(auto i=l;i<r;i++)
#define fo(i,n) fore(i,0,n)
#define forex(i,r,l) for(auto i=r; i>=l;i--)
#define ffo(i,n) forex(i,n-1,0)
 
bool cmin(ll &a, ll b) { if(b<a){a=b;return 1;}return 0; }
bool cmax(ll &a, ll b) { if(b>a){a=b;return 1;}return 0; }
void valid(ll in) { cout<<((in)?"YES\n":"NO\n"); }
ll lcm(ll a, ll b) { return (a/gcd(a,b))*b; }
ll gauss(ll n) { return (n*(n+1))/2; }
// ll tryCombination (int S[]) {
//     fo (i, 4) cout << S[i] << ' ';
//     cout << endl;
//     ll ans;
//     cin >> ans;
//     return ans;
// }
void exploreCave(int n) {
	int s[n]{}, d[n]{}, tos[n]{}, qs[n]{}, nqs[n]{}, alive[n];
	fo (i, n) alive[i] = 1;
	fo (i, n) {
		fo (j, n) nqs[j] = qs[j] = 0;
		fo (j, i) nqs[tos[j]] = qs[tos[j]] = s[tos[j]];
		int idx = tryCombination(qs), w = 0;
		if (idx == -1) idx = n;
		if (idx == i) w = 1;
		int l = 0, r = n-1-i;
		while (l <= r) {
			int m = (l+r)/2, c = 0;
			fo (j, n) {
				if(!alive[j]) continue;
				c++;
				if (c-1 <= m) nqs[j] = w;
				else nqs[j] = (w^1);
			}
			idx = tryCombination(nqs);
			if (idx == -1) idx = n;
			if (idx > i) r = m-1;
			else l = m+1;
		}
		int whswt = 0, c = 0;
		fo (j, n) {
		    	c += alive[j];
		    	if (c-1 == l) {
				whswt = j;
				break;
		    	}
		}
		tos[i] = whswt;
		alive[tos[i]] = 0;
		s[tos[i]] = w;
	}
	fo (i, n) d[tos[i]] = i;
	//fo (i, n) cout << s[i] << ' ';
	//cout << endl;
	//fo (i, n) cout << d[i] << ' ';
	//cout << endl;
	answer(s, d);
}
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