#include "doll.h"
#include <bits/stdc++.h>
#define deb(x) cout << #x << " ---> " << x << endl
using namespace std;
// void answer(vector <int> C, vector <int> X, vector <int> Y) {
// cout << C.size() << endl;
// for (auto x:C) {
// cout << x << " " ;
// }
// cout << endl;
// cout << X.size() << endl;
// for (int i = 0; i < X.size(); i++) {
// cout << X[i] << " " << Y[i] << endl;
// }
// }
int arr[2000005];
int fix[2000005];
int id[2000005];
int rev(int x, int k) {
int res = 0;
for (int i = 0; i < k; i++) {
if (x&(1<<i)) res += (1<<(k-1-i));
}
return res;
}
void create_circuit(int M, vector<int> A) {
A.push_back(0);
int N = A.size();
// deb(N);
vector<int> C(M + 1);
for (int i = 0; i <= M; ++i) {
C[i] = -1;
}
vector<int> X, Y;
int k = 0;
while ((1<<k) < N) {
k++;
}
int S = 2;
int cur = 2;
vector <int> res;
res.push_back(1);
X.push_back(-1);
Y.push_back(-1);
while (cur < N) {
vector <int> nres;
for (auto x:res) {
X[x-1] = (0-S);
Y[x-1] = (0-S-1);
X.push_back(-1);
Y.push_back(-1);
X.push_back(-1);
Y.push_back(-1);
nres.push_back(S);
nres.push_back(S+1);
S += 2;
cur += 2;
}
res = nres;
}
// answer(C,X,Y);
// for (auto x:res) {
// cout << x << " ";
// }
// cout << endl;
int xr = cur - N;
for (int i = 0; i < xr; i++) {
int ind = i;
if (ind%2==0) {
X[res[ind/2]-1] = -1;
} else {
Y[res[ind/2]-1] = -1;
}
}
vector <pair<int,int>> lst;
for (int i = xr; i < cur; i++) {
lst.push_back({rev(i,k),i});
}
sort(lst.begin(),lst.end());
for (int i = xr; i < cur; i++) {
auto [val,ind] = lst[i-xr];
// deb(ind);
if (ind%2==0) {
X[res[ind/2]-1] = A[i-xr];
} else {
Y[res[ind/2]-1] = A[i-xr];
}
}
S--;
int ns = S;
for (int i = 1; i <= S; i++) {
arr[i*2] = X[i-1];
arr[i*2+1] = Y[i-1];
}
for (int i = 2*S+1; i >= 2; i -= 2) {
if (arr[i] == -1 && arr[i-1] == -1) {
arr[i] = arr[i-1] = INT_MAX;
arr[i/2] = -1;
X[i/2-1]=Y[i/2-1] = INT_MAX;
ns--;
fix[i/2] = 1;
if ((i/2)%2==1) {
Y[i/4-1] = -1;
} else {
X[i/4-1] = -1;
}
}
}
cur = 1;
for (int i = 1; i <= S; i++) {
if (fix[i]) continue;
id[i] = cur++;
}
vector <int> X1(ns),Y1(ns);
for (int i = 1; i <= S; i++) {
if (fix[i]) continue;
int vx = X[i-1];
if (vx < 0) {
vx = (0-id[abs(vx)]);
}
int vy = Y[i-1];
if (vy < 0) {
vy = (0-id[abs(vy)]);
}
int ni = id[i];
X1[ni-1] = vx;
Y1[ni-1] = vy;
}
answer(C, X1, Y1);
}
// int main () {
// int n,m;
// cin >> m;
// cin >> n;
// vector <int> a(n);
// for (int i= 1; i <= n; i++) {
// cin >> a[i-1];
// }
// create_circuit(m,a);
// }
