#include <iostream>
#include <vector>
#include <queue>
#include "doll.h"
using namespace std;
#define loop(X, N) for (int X = 0; X < (N); X++)
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int, int> ii;
typedef vector<ii> vii;
typedef vector<vii> vvii;
int rev(int n, int numBits) {
    int out = 0;
    for (int i = 0; i < numBits; i++) {
        if (n & (1 << i))
            out |= 1 << (numBits - 1 - i);
    }
    return out;
}
void create_circuit(int m, vi a) {
    vi c; //exits
    vi x, y;
    int s = 0;
    int n = a.size();
    vvi nextStates(m);
    for (int i = 0; i < n - 1; i++)
        nextStates[a[i] - 1].push_back(a[i + 1]);
    nextStates[a[n - 1] - 1].push_back(0);
    c.push_back(a[0]);
    for (int i = 0; i < m; i++) {
        if (nextStates[i].size() == 0) {
            c.push_back(i + 1);
            continue;
        }
        int pow = 1;
        while (pow < nextStates[i].size())
            pow *= 2;
        if (pow == 1) {
            c.push_back(nextStates[i][0]);
            continue;
        }
        vi exits(pow);
        for (int j = 0; j < nextStates[i].size() - 1; j++)
            exits[rev(j, pow)] = nextStates[i][j];
        for (int j = nextStates[i].size(); j < pow - 1; j++)
            exits[rev(j, pow)] = -rev(j + 1, pow);
        exits[rev(pow - 1, pow)] = nextStates[i].back();
        for (int j = 1; j < pow / 2; j++) {
            x.push_back(-(s + 2 * j));
            y.push_back(-(s + 2 * j + 1));
        }
        for (int j = 0; j < pow / 2; j++) {
            x.push_back(exits[j * 2]);
            y.push_back(exits[j * 2 + 1]);
        }
        c.push_back(-s - 1);
        s += pow - 1;
    }
    answer(c, x, y);
}
// int main() {
//     create_circuit(2, {2});
//     return 0;
// }
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