#include "doll.h"
#include <bits/stdc++.h>
using namespace std;
int N, idx, sz;
vector<array<int, 3>> o;
vector<int> X, Y;
void f(int l, int r, int par, int c, int x, int b)
{
if (l == r)
{
o.push_back({x, par, c});
return;
}
int mid = (l + r) >> 1;
if (mid < sz - N)
{
f(mid + 1, r, par, c, x, b + 1);
return;
}
int nw = ++idx;
X.push_back(-1), Y.push_back(-1);
if (par != -1)
{
if (!c) X[par - 1] = -nw;
else Y[par - 1] = -nw;
}
if (mid >= sz - N) f(l, mid, nw, 0, x, b + 1);
f(mid + 1, r, nw, 1, x | (1 << b), b + 1);
}
void create_circuit(int M, vector<int> A)
{
X.clear(), Y.clear(), o.clear();
A.push_back(0);
N = A.size(), idx = 0, sz = 1;
while (sz < N) sz <<= 1;
f(0, sz - 1, -1, -1, 0, 0);
sort(o.begin(), o.end());
vector<int> C(M + 1, -1);
for (int i = 0; i < N; i++)
{
auto [t, p, c] = o[i];
if (!c) X[p - 1] = A[i];
else Y[p - 1] = A[i];
}
answer(C, X, Y);
}
