#include "doll.h"
//{
#include<bits/stdc++.h>
using namespace std;
typedef int ll;
typedef double lf;
typedef pair<ll,ll> ii;
#define REP(i,n) for(ll i=0;i<n;i++)
#define REP1(i,n) for(ll i=1;i<=n;i++)
#define FILL(i,n) memset(i,n,sizeof i)
#define X first
#define Y second
#define SZ(_a) (int)_a.size()
#define ALL(_a) _a.begin(),_a.end()
#define pb push_back
#ifdef brian
#define debug(...) do{\
fprintf(stderr,"%s - %d (%s) = ",__PRETTY_FUNCTION__,__LINE__,#__VA_ARGS__);\
_do(__VA_ARGS__);\
}while(0)
template<typename T>void _do(T &&_x){cerr<<_x<<endl;}
template<typename T,typename ...S> void _do(T &&_x,S &&..._t){cerr<<_x<<" ,";_do(_t...);}
template<typename _a,typename _b> ostream& operator << (ostream &_s,const pair<_a,_b> &_p){return _s<<"("<<_p.X<<","<<_p.Y<<")";}
template<typename It> ostream& _OUTC(ostream &_s,It _ita,It _itb)
{
_s<<"{";
for(It _it=_ita;_it!=_itb;_it++)
{
_s<<(_it==_ita?"":",")<<*_it;
}
_s<<"}";
return _s;
}
template<typename _a> ostream &operator << (ostream &_s,vector<_a> &_c){return _OUTC(_s,ALL(_c));}
template<typename _a> ostream &operator << (ostream &_s,set<_a> &_c){return _OUTC(_s,ALL(_c));}
template<typename _a,typename _b> ostream &operator << (ostream &_s,map<_a,_b> &_c){return _OUTC(_s,ALL(_c));}
template<typename _t> void pary(_t _a,_t _b){_OUTC(cerr,_a,_b);cerr<<endl;}
#define IOS()
#else
#define debug(...)
#define pary(...)
#define endl '\n'
#define IOS() ios_base::sync_with_stdio(0);cin.tie(0);
#endif // brian
//}
const ll MAXn = 400000 + 5;
ll x[MAXn], y[MAXn], stat[MAXn];
vector<int> C, X, Y;
ll sit = 0;
inline ll nnd(){
return --sit;
}
void build(int &now, int sz)
{
if(sz == 1)
{
now = MAXn;
return;
}
now = nnd();
assert(sz % 2 == 0);
build(x[-now-1], sz>>1);
build(y[-now-1], sz>>1);
}
void create_circuit(int M, std::vector<int> A) {
X.clear();Y.clear();C.clear();sit = 0;
if(SZ(A) == 1)
{
vector<int> tmp;
REP(i, M+1)tmp.pb(0);
tmp[0] = A[0];
answer(tmp, vector<int>(), vector<int>());
return;
}
vector<int> v;
for(int i = 1;i < SZ(A);i ++)v.pb(A[i]);
int rt;
rt = nnd();
for(int i = __lg(SZ(v)), now = rt;i >= 0;i --)
{
if(SZ(v) & (1<<i))build(x[-now-1], (1<<i));
else x[-now-1] = rt;
if(i != 0)now = y[-now-1] = nnd();
else y[-now-1] = 0;
}
debug(v);
ll now = rt, it = 0;
REP(i, -sit)stat[i] = 0;
while(now != 0)
{
if(stat[-now-1] == 0){ // x
stat[-now-1] ^= 1;
if(x[-now-1] == MAXn){
assert(it != SZ(v));
x[-now-1] = v[it++];
now = rt;
}else now = x[-now-1];
}
else{ // y
stat[-now-1] ^= 1;
if(y[-now-1] == MAXn){
assert(it != SZ(v));
y[-now-1] = v[it++];
now = rt;
}else now = y[-now-1];
}
}
//build(rt, v);
C.pb(A[0]);
REP(i, M)C.pb(rt);
REP(i, -sit)X.pb(x[i]), Y.pb(y[i]);
answer(C, X, Y);
}
