#include<bits/stdc++.h>
#include "cave.h"
using namespace std;
void exploreCave(int N) {
int S[N] , D[N] , W[N];
memset(S , 0 , sizeof(S));
memset(W , 0 , sizeof(W));
int u;
while(true){
u = tryCombination(W);
if(u == -1){
break;
}
vector<int> v;
for(int i = 0;i < N;i ++){
if(W[i] == 0){
v.emplace_back(i);
}
}
auto assign = [&](int m){
for(int i = 0;i <= m;i ++){
W[v[i]] = 1;
}
int A = tryCombination(W);
for(int i = 0;i <= m;i ++){
W[v[i]] = 0;
}
return (A != u);
};
int l = 0 , r = (int)v.size() - 1 , ans = -1;
while(l <= r){
int m = (l + r) / 2;
if(assign(m)){
ans = m;
r = m - 1;
}else{
l = m + 1;
}
}
ans = v[ans];
S[ans] = W[ans] = 1;
D[ans] = u;
}
for(int i = 0;i < N;i ++){
W[i] = 1;
}
while(true){
u = tryCombination(W);
if(u == -1){
break;
}
vector<int> v;
for(int i = 0;i < N;i ++){
if(W[i] == 1 && !S[i]){
v.emplace_back(i);
}
}
auto assign = [&](int m){
for(int i = 0;i <= m;i ++){
W[v[i]] = 0;
}
int A = tryCombination(W);
for(int i = 0;i <= m;i ++){
W[v[i]] = 1;
}
return (A != u);
};
int l = 0 , r = (int)v.size() - 1 , ans;
while(l <= r){
int m = (l + r) / 2;
if(assign(m)){
ans = m;
r = m - 1;
}else{
l = m + 1;
}
}
ans = v[ans];
S[ans] = W[ans] = 0;
D[ans] = u;
}
answer(S , D);
return;
}
