#include "doll.h"
#include<bits/stdc++.h>
using namespace std;
vector<int> X, Y;
vector<int> nX, nY;
void fin(int x, int n, int par, bool ok, int val, vector<int> &A, bool flag){
if((x|val) >= n){
if(ok)X[par] = A[x];
else Y[par] = A[x];
}
else{
int no = X.size();
if(!flag){
if(ok)X[par] = -no-1;
else Y[par] = -no-1;
}
X.push_back(0);
Y.push_back(0);
fin(x,n,no,1,val<<1,A,0);
fin(x|val,n,no,0,val<<1,A,0);
}
}
void create_circuit(int m, vector<int> A) {
A.push_back(-1);
int n = A.size();
while((int)A.size() < (1<<(int)ceil(log2(n)))){
A.push_back(-1);
}
A.back() = 0;
n = A.size();
vector<int> C(m + 1,-1);
vector<int> H(m + 1);
fin(0,n,-1,0,1,A,1);
n = X.size();
set<int> bad;
for(int i = n-1; i >= 0; --i){
if(X[i] < 0 && bad.count(X[i]))X[i] = X[-X[i]-1];
if(Y[i] < 0 && bad.count(Y[i]))Y[i] = Y[-Y[i]-1];
if(X[i] == Y[i])bad.insert(-(i+1));
}
vector<int> trans;
int cn = -1;
for(int i = 0; i < n; ++i){
trans.push_back(cn);
if(bad.count(-i-1))continue;
nX.push_back(X[i]);
nY.push_back(Y[i]);
cn--;
}
//~ for(int i : X)cout << i << " ";
//~ cout << "\n";
//~ for(int i : Y)cout << i << " ";
//~ cout << "\n";
//~ for(int i : nX)cout << i << " ";
//~ cout << "\n";
//~ for(int i : nY)cout << i << " ";
//~ cout << "\n";
//~ for(int &i : nX){if(i < 0)i = trans[-i-1]; cout << i << " ";}cout << "\n";
//~ for(int &i : nY){if(i < 0)i = trans[-i-1]; cout << i << " ";}cout << "\n";
answer(C, nX, nY);
}
