#include "doll.h"
#include <bits/stdc++.h>
#define sz(x) (int)x.size()
#define ALL(x) x.begin(), x.end()
#define pb push_back
#define ff first
#define ss second
using namespace std;
using VI = vector <int>;
using PII = pair <int, int>;
int n, m, p = 1;
const int N = 4e5;
VI c, x(N), y(N), state(N);
int switchNo;
int generate(int l, int r) {
if (l == r) {
// cout << l << " ";
// if (r < p-n-1) {
// cout <<" UP \n";
// } else {
// cout << "DOWN\n";
// }
return (r < p-n-1 ? -1 : 0); // up or down
}
int mid = (l+r)>>1, curNode = ++switchNo;
x[curNode] = generate(l, mid);
y[curNode] = generate(mid+1, r);
return -curNode;
}
void addPos(int pos, int v) { // removes n zero
int& nx = (state[-pos] ? y[-pos] : x[-pos]); state[-pos] ^= 1;
if (nx == 0) {
nx = v;
return;
}
return addPos(nx, v);
}
void create_circuit(int M, vector<int> nums) {
m = M;
n = sz(nums);
c = VI(m+1, -1);
while(p < n+1) p *= 2;
switchNo = 0;
generate(0, p-1);
for (int i = 0; i < n; i++) addPos(-1, nums[i]);
addPos(-1, 0);
for (int i = 0; i < switchNo; i++) {
x[i] = x[i+1];
y[i] = y[i+1];
}
x.resize(switchNo);
y.resize(switchNo);
// for (int i = 0; i < sz(x); i++) cout << i+1 << ": " << x[i] << ',' << y[i] << '\n';
answer(c, x, y);
}
