#include "doll.h"
#include <bits/stdc++.h>
using namespace std;
const int inf = 2e9;
int sz=1, n, cnt=0;/*
int state[700005];
int get(int node){
if(node >= sz){
return (sz-n <= node-sz)?node-sz:inf;
}
state[node] = (state[node]+1)%2;
if(state[node])return get(node*2);
else return get(node*2+1);
}*/
void create_circuit(int m, vector<int> a) {
a.push_back(0);
n = a.size();
while(sz < n)sz<<=1;
vector<int> t(sz*2);
for(int i=0;i<sz;i++)t[i+sz] = inf;
int tt = 0;
vector<int> rev;
vector<int> used(sz*2);
rev.push_back(0);
for(int div = sz/2; div > 1; div >>= 1){
int d = div;
while(d < sz){
if(!used[d])rev.push_back((sz-n <= d)?d:inf);
used[d] = 1;
d += div;
}
}for(int i=0;i<sz/2;i++)rev.push_back(rev[i]+1 >= sz-n && rev[i] != inf? rev[i]+1: inf);
// for(auto x : rev)cout << x << ' ';
int j = 0;
for(int i=0;i<sz;i++){
if(rev[i] != inf)t[rev[i]+sz] = a[j], j++;
}
vector<int> X, Y;
for(int i=sz-1; i>0; i--){
if(t[i*2] == inf && t[i*2+1] == inf)t[i] = inf;
else {
t[i] = --tt;
X.push_back(t[i*2]);
Y.push_back(t[i*2+1]);
}
}for(int i=0;i<(int)X.size();i++){
if(X[i] == inf)X[i] = tt;
if(Y[i] == inf)Y[i] = tt;
}
answer(vector<int>(m+1, tt), X, Y);
}
/*
1 1
1
*/
