#include "doll.h"
#include <bits/stdc++.h>

using namespace std;

const int maxn = 2e5 + 12;

vector<int> g[maxn];
int n, m;

vector<int> find(vector<int> v) {
    if((int)v.size() <= 1) return v;
    vector<int> res, a, b;
    for(int i = 0; i < v.size(); i += 2) {
        a.push_back(v[i]);
    }
    for(int i = 1; i < v.size(); i += 2) {
        b.push_back(v[i]);
    }
    a = find(a), b = find(b);
    for(int x : a) {
        res.push_back(x);
    }
    for(int x : b) {
        res.push_back(x);
    }
    return res;
}

void create_circuit(int M, std::vector<int> a) {
    n = (int)a.size();
    m = M;

    vector<int> c(m + 1), x, y;
    c[0] = a[0];
    for(int i = 0; i < n - 1; i++) {
        g[a[i]].push_back(a[i + 1]);
    }
    g[a[n - 1]].push_back(0);
    for(int i = 1; i <= m; i++) {
        if((int)g[i].size() == 0) {
            continue;
        }
        if((int)g[i].size() == 1) {
            c[i] = g[i][0];
            continue;
        }

        int t = 1, init = (int)x.size();
        while(t < (int)g[i].size()) {
            t <<= 1;
        }
        c[i] = -(init + 1);
        int sz = t - (int)g[i].size();
        for(int j = 1; j < t + sz; j++) {
            x.push_back(0);
            y.push_back(0);
        }
        reverse(g[i].begin(), g[i].end());
        for(int j = 0; j < sz; j++) {
            g[i].push_back(-(init + t + j));
            x[init + t + j - 1] = -(init + t + j);
            y[init + t + j - 1] = -(init + 1);
        }
        reverse(g[i].begin(), g[i].end());
        g[i] = find(g[i]);
        for(int j = 1; j < t; j++) {
            x[init + j - 1] = -(2 * j + init);
            y[init + j - 1] = -(2 * j + 1 + init);
            if(2 * j >= t) {
                x[init + j - 1] = g[i][2 * j - t];
                y[init + j - 1] = g[i][2 * j + 1 - t];
            }
        }
    }
    answer(c, x, y);
}