#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;
// }
// }
vector <vector<int>> v(2e5+5);
void create_circuit(int M, vector<int> A) {
A.push_back(0);
A.insert(A.begin(),0);
int N = A.size();
vector<int> C(M + 1);
for (int i = 0; i <= M; ++i) {
C[i] = 1;
}
vector<int> X, Y;
for (int i = 1; i <= N-1; i++) {
v[A[i-1]].push_back(A[i]);
}
int S = 1;
// cout << 1 << endl;
for (int i = 0; i <= M; i++) {
// cout << i << endl;
int k = v[i].size();
if (k == 1) {
C[i] = v[i][0];
} else if (k > 1) {
// cout << i << endl;
int cur = 2;
vector <int> res;
C[i] = (0-S);
res.push_back(S++);
X.push_back(-1);
Y.push_back(-1);
while (cur < k) {
vector <int> nres;
for (auto x:res) {
X[x] = S;
Y[x] = S+1;
nres.push_back(S);
nres.push_back(S+1);
X.push_back(-1);
Y.push_back(-1);
X.push_back(-1);
Y.push_back(-1);
S+=2;
}
cur *= 2;
res = nres;
}
// deb(cur);
int xr = cur - k;
// deb(xr);
// deb(X[0]);
// deb(Y[0]);
// deb(res[0]);
for (int j = 0; j < xr; j++) {
X[res[j]] = res[j];
}
// deb(X[0]);
// deb(Y[0]);
int pos = 0;
for (int j = 0; j < cur; j++) {
if (j%2==0) {
int o = j/2;
o = res[o]-1;
if (X[o] != -1) continue;
// cout << j << endl;
X[o] = v[i][pos];
// deb(X[o]);
pos++;
} else {
int o = j/2;
o = res[o]-1;
if (Y[o] != -1) continue;
// cout << j << endl;
Y[o] = v[i][pos];
pos++;
}
}
}
}
answer(C, X, Y);
}
// 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);
// }
