#include "doll.h"
#include<bits/stdc++.h>
using namespace std;
int n, N;
int x[800005], y[800005];
vector<int> C, X, Y;
vector< pair< int, pair<int,int> > > v;
int id;
int dfs(int i, int ord, int dep) {
int tmp = ++id;
X.push_back(x[i]);
Y.push_back(y[i]);
if(x[i] < -1) {
X[tmp-1] = -dfs(-x[i], ord, dep+1);
} else if(x[i] == 1) {
v.push_back({ord, {tmp-1, 0} });
}
if(y[i] < -1) {
Y[tmp-1] = -dfs(-y[i], ord+(1<<dep), dep+1);
}else if(y[i] == 1) {
v.push_back({ord+(1<<dep), {tmp-1, 1} });
}
return tmp;
}
void create_circuit(int M, std::vector<int> A) {
if(A.size()==1) {
C.push_back(A[0]);
for(int i=0; i<M; i++) C.push_back(0);
answer(C, X, Y);
return;
}
n = A.size();
A.push_back(0);
N = 1;
while(N < n) N*=2;
int cnt = N-n;
for(int i=N/2; i<N; i++) {
if(cnt>0) {
x[i] = -1;
cnt--;
} else {
x[i] = 1;
}
if(cnt>0) {
y[i] = -1;
cnt--;
} else {
y[i] = 1;
}
}
for(int i=N/2-1; i>=1; i--) {
if(x[i*2] == -1 && y[i*2]==-1) {
x[i] = -1;
} else {
x[i] = -i*2;
}
if(x[i*2+1]==-1 && y[i*2+1]==-1) {
y[i] = -1;
} else {
y[i] = -(i*2+1);
}
}
C.push_back(A[0]);
for(int i=0; i<M; i++) C.push_back(-1);
dfs(1, 0, 0);
sort(v.begin(), v.end());
int ptr = 0;
for(auto i:v) {
if(i.second.second==0) {
X[i.second.first] = A[++ptr];
} else {
Y[i.second.first] = A[++ptr];
}
}
answer(C, X, Y);
}
