#include<bits/stdc++.h>
#include "doll.h"
using namespace std;
const int N=-400009;
int a,b,c,d,e,i,j,ii,jj,zx,xc,f[200009],pi,za,lf[400009],rg[400009],rt,BOlf[400009],BOrg[400009],sw[400009],co,SIZ,l,r;
vector <int> C,X,Y,v[200009];
bool chk(int q, int w){
if(q>r||w<l) return 0; else return 1;
}
void rec(int q, int w, int rr){
int mid=(q+w)/2;
if(q==mid){
if(chk(q,mid)==1){
BOlf[rr]=1;
lf[rr]=-1;
}else{
lf[rr]=-1;
}
}else{
if(chk(q,mid)==1){
pi++;lf[rr]=pi;
rec(q,mid,lf[rr]);
}else{
lf[rr]=-1;
}
}
if(mid+1==w){
if(chk(mid+1,w)==1){
BOrg[rr]=1;
rg[rr]=-1;
}else{
rg[rr]=-1;
}
}else{
if(chk(mid+1,w)==1){
pi++;rg[rr]=pi;
rec(mid+1,w,rg[rr]);
}else{
rg[rr]=-1;
}
}
}
void dfs(int rr){
if(xc>=SIZ) return;
if(sw[rr]==0){
sw[rr]=1;
if(lf[rr]!=-1){
dfs(lf[rr]);
}else{
if(BOlf[rr]==0){
lf[rr]=rt;
}else{
lf[rr]=v[i][xc];xc++;
}
dfs(rt);
}
return;
}
sw[rr]=0;
if(rg[rr]!=-1){
dfs(rg[rr]);
}else{
if(BOrg[rr]==0){
rg[rr]=rt;
}else{
rg[rr]=v[i][xc];xc++;
}
dfs(rt);
}
}
void create_circuit(int MM, std::vector<int> AA) {
a=AA.size();b=MM;
for(i=1; i<=a; i++) f[i]=AA[i-1];
C.resize(b+1);pi=0;
for(i=1; i<a; i++){
v[f[i]].push_back(f[i+1]);
}
v[f[a]].push_back(0);
C[0]=f[1];
for(i=1; i<=b; i++){
if(v[i].size()==0) continue;
if(v[i].size()==1){
C[i]=v[i][0];
continue;
}
SIZ=v[i].size();
za=1;
while(za<SIZ) za*=2;
l=za-SIZ+1;r=za;
pi++;rt=pi;
rec(1,za,rt);
//zx=za-SIZ;xc=0;
xc=0;
dfs(rt);
C[i]=-rt;
}
X.resize(pi);Y.resize(pi);
for(i=1; i<=pi; i++){
if(BOlf[i]==1) X[i-1]=lf[i]; else X[i-1]=-lf[i];
if(BOrg[i]==1) Y[i-1]=rg[i]; else Y[i-1]=-rg[i];
}
answer(C,X,Y);
}
