#include <bits/stdc++.h>
#include "cave.h"
#define F first
#define S second
#define P push
#define pb push_back
#define MEM(dp,i) memset(dp,i,sizeof(dp))
#define W while
#define R return
#define C continue
#define SI size()
#define ll long long
#define ld long double
#define pll pair<ll,ll>
#define pii pair<int,int>
#define SF(x) scanf("%I64d",&x)
#define SF2(x,y) scanf("%I64d%I64d",&x,&y)
#define SF3(x,y,z) scanf("%I64d%I64d%I64d",&x,&y,&z)
#define SF4(x,y,z,o) scanf("%I64d%I64d%I64d%I64d",&x,&y,&z,&o)
#define all(v) v.begin(),v.end()
using namespace std;
const long long INF = 1e9;
const int MX=100005;
int s[5005];
int pos[5005];
int a[5005];
int res[5005];
int out[5005];
bool b[5005];
int n;
void pre(int x,int &l,int &r){
int ret1,ret2;
int mid=(l+r)/2;
ret1=tryCombination(a);
for(int i=l;i<=mid;i++){
if(b[i])C;
a[i]=1;
}
ret2=tryCombination(a);
for(int i=l;i<=mid;i++){
if(b[i])C;
a[i]=0;
}
if(ret1==ret2||(ret1!=x&&ret2!=x)){
if(ret1==x&&ret2==x)pos[x]=1;
else{pos[x]=0;}
l=mid+1;
}
else{
if(ret1==x)pos[x]=1;
else pos[x]=0;
r=mid;
}
}
void check(int x){
int l=0,r=n,ret1,ret2;
pre(x,l,r);
W(l<r){
int mid=(l+r)/2;
for(int i=l;i<=mid;i++){
if(b[i])C;
a[i]=(pos[x]^1);
}
for(int i=mid+1;i<=r;i++){
if(b[i])C;
a[i]=pos[x];
}
ret1=tryCombination(a);
for(int i=l;i<=r;i++){
if(b[i])C;
a[i]=0;
}
if(ret1==x){
r=mid;
}
else{
l=mid+1;
}
}
b[l]=1;
a[l]=pos[x];
out[l]=pos[x];
res[l]=x;
}
void exploreCave(int N) {
n=N;
for(int i=0;i<N;i++){
check(i);
}
answer(out,res);
}
