#include "doll.h"
#include <iostream>
#include <cmath>
#include <algorithm>
#include <vector>
#include <stack>
using namespace std;
const int maxn=1e5+5, Log=17, pot=(1<<Log), inf=1e9;
vector < int > sus[maxn];
vector < int > vez;
vector < int > x, y;
int m, n;
vector < int > red;
bool crna[pot];
void napravi(int bit){
int br=0;
for(int i=0; i<(1<<bit); i++){
red.push_back(br);
for(int j=bit-1; j>-1; j--){
if((1<<j)&br){
br-=(1<<j);
}
else{
br+=(1<<j);
break;
}
}
}
/* for(int i=0; i<red.size(); i++){
cout << red[i] << ' ';
}
cout << endl;*/
}
int bit;
int poz;
int mini;
int tren;
struct Logaritamska{
vector < int > l;
int siz;
void precompute(int sz){
siz=sz;
l.clear();
while(sz--){
l.push_back(0);
}
}
void update(int x, int val){
for(; x<siz; x+=(x & -x)){
l[x]+=val;
}
}
int query(int x){
int sol=0;
for(; x>0; x-=(x & -x)){
sol+=l[x];
}
return sol;
}
};
Logaritamska L;
int siri(int cor, int val, int dep, int pos){
if(bit==dep){
// cout << red[cor] << endl;
if(L.query(red[cor])==L.query(red[cor]-1)){
int ind=red[cor]-L.query(red[cor]);
return sus[tren][ind];
}
else{
return inf;
}
}
int a, b;
x.push_back(0);
y.push_back(0);
mini=min(mini, val);
a=siri(cor, val-1, dep+1, pos);
b=siri(cor+(1<<(bit-dep-1)), mini-1, dep+1, pos);
if(a==inf && b==inf){
x.pop_back();
y.pop_back();
if(mini==val){
mini++;
}
return inf;
}
if(b==inf){
b=pos;
}
else if(a==inf){
a=pos;
}
x[-1-val]=a;
y[-1-val]=b;
return val;
}
void rijesi(){
int br;
int pos=-1;
int raz;
for(int i=1; i<=m; i++){
// cout << "usao" << endl;
tren=i;
if(sus[i].empty()){
vez.push_back(0);
}
else if(sus[i].size()==1){
vez.push_back(sus[i][0]);
}
else{
br=1;
bit=0;
while((int)sus[i].size()>br){
br*=2;
bit++;
}
red.clear();
napravi(bit);
L.precompute(br);
raz=br-sus[i].size();
for(int j=0; j<raz; j++){
// cout << "ne " << red[j] << endl;
L.update(red[j], 1);
}
vez.push_back(siri(0, pos, 0, pos));
pos=mini-1;
}
}
}
void create_circuit(int M, vector <int> a){
m=M;
n=a.size();
a.push_back(0);
vez.push_back(a[0]);
for(int i=0; i<n; i++){
sus[a[i]].push_back(a[i+1]);
}
rijesi();
/* for(int i=0; i<(int)vez.size(); i++){
cout << vez[i] << ' ';
}
cout << endl;
for(int i=0; i<(int)x.size(); i++){
cout << x[i] << ' ' << y[i] << endl;
}*/
answer(vez, x, y);
}
