#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
#include "doll.h"
void create_circuit(int m, std::vector<int> a) {
// int N = A.size();
// std::vector<int> C(M + 1);
// C[0] = -1;
// for (int i = 1; i <= M; ++i) {
// C[i] = 1;
// }
// std::vector<int> X(N), Y(N);
// for (int k = 0; k < N; ++k) {
// X[k] = Y[k] = A[k];
// }
// answer(C, X, Y);
int n = sz(a);
a.pb(0);
vector<int> b(m+1);
b[0] = a[0];
vector<int> sx(1), sy(1), leaf(1), flipped(1);
// int last_guy = inf1, last_type = inf1;
int siz = 1;
while(siz <= n) siz <<= 1;
int chain_siz = __lg(siz);
int root = 1;
rep1(i,m){
b[i] = -root;
}
b[0] = a[0];
rep1(i,chain_siz){
sx.pb(0), sy.pb(0);
}
rep1(i,chain_siz-1){
sx[root-1+i] = -root;
sy[root-1+i] = -(root+i);
}
sx[root-1+chain_siz] = -root;
sy[root-1+chain_siz] = 0;
rev(bit,chain_siz-1,0){
if(!(n&(1<<bit))) conts;
if(!bit){
while(sz(leaf) < sz(sx)){
leaf.pb(0);
}
leaf[root-1+chain_siz] = 1;
conts;
}
// build bin tree, depth = bit-1
int pos_on_chain = root-1+chain_siz-bit;
int ptr = sz(sx);
sx.pb(-root), sy.pb(-root);
sx[pos_on_chain] = -ptr;
queue<pii> q;
q.push({ptr,0});
while(!q.empty()){
auto [u,d] = q.front();
q.pop();
if(d >= bit-1){
while(sz(leaf) < sz(sx)){
leaf.pb(0);
}
leaf[u] = 1;
conts;
}
sx[u] = -sz(sx);
sy[u] = -(sz(sx)+1);
sx.pb(-root), sy.pb(-root);
sx.pb(-root), sy.pb(-root);
q.push({-sx[u],d+1});
q.push({-sy[u],d+1});
}
}
while(sz(flipped) < sz(sx)){
flipped.pb(0);
}
int ptr = root;
int cnt = 0;
while(true){
if(leaf[ptr]){
cnt++;
if(cnt == n) break;
flipped[ptr] ^= 1;
int nxt = 0;
if(cnt < n) nxt = a[cnt];
else{
// last_guy = ptr;
// last_type = flipped[ptr];
}
if(flipped[ptr]){
sx[ptr] = nxt;
}
else{
sy[ptr] = nxt;
}
ptr = root;
// if(cnt == n) break;
}
else{
flipped[ptr] ^= 1;
if(flipped[ptr]){
ptr = -sx[ptr];
}
else{
ptr = -sy[ptr];
}
}
}
vector<pii> pending;
rep1(i,m){
// if(!pos[i].empty() and sz(pos[i]) != 2){
// pending.pb({b[i],leave[i]});
// }
}
// rep(i,sz(pending)-1){
// sy[-pending[i].ss] = pending[i+1].ff;
// }
sx.erase(sx.begin());
sy.erase(sy.begin());
int mx_allowed = n+__lg(n-1)+1;
// assert(sz(sx) <= mx_allowed);
debug(mx_allowed);
answer(b,sx,sy);
}
