#include<bits/stdc++.h>
#include "cave.h"
using namespace std;
#define ll long long
#ifdef __cplusplus
extern "C" {
#endif
int tryCombination(int S[]);
void answer(int S[], int D[]);
void exploreCave(int N);
#ifdef __cplusplus
}
#endif
vector<ll>cur;
int a[5005];
bool canuse[5005];
bool open[5005];
int refdoor[5005];
// TODO: global variables can be declared here
int ck(ll l, ll r){
for(int i=l;i<=r;i++){
a[i]^=1;
}
int lol=tryCombination(a);
for(int i=l;i<=r;i++){
a[i]^=1;
}
return lol;
}
void get(ll id){
ll l=0,r=cur.size()-1;
int compare=ck(l,r);
while(l<=r){
if(l==r){
break;
}
else if(l==r-1){
if(ck(l,l)!=compare){
r=l;
}
else{
l=r;
}
break;
}
else{
ll mid=(l+r)>>1;
if(ck(l,mid)!=compare){
r=mid;
}
else{
l=mid+1;
}
}
}
if(compare==id){
open[l]=0;
a[id]=0;
}
else{
open[l]=1;
a[id]=1;
}
refdoor[l]=id;
canuse[l]=0;
}
void exploreCave(int N) {
// TODO: implementation
int n=N;
for(int i=0;i<n;i++){
a[i]=1;
cur.push_back(i);
}
tryCombination(a);
for(int i=0;i<n;i++){
get(i);
cur.clear();
for(int j=0;j<n;j++){
if(canuse[j]){
cur.push_back(j);
}
}
}
int state[n],ref[n];
for(int i=0;i<n;i++){
state[i]=open[i];
ref[i]=refdoor[i];
}
answer(state,ref);
}
