#include "perm.h"
#include <bits/stdc++.h>
using namespace std;
vector<int> construct_permutation(long long k) {
int greatest_power_of_two;
for (int i = 63; i >= 0; i--) {
if (k & (1LL << i)) {
greatest_power_of_two = i;
// cout << (1 << 63) << '\n';
break;
}
}
// cout << "Greatest: " << greatest_power_of_two << '\n';
vector<int> pre_ans;
long long diff = k - (1LL << greatest_power_of_two);
int counter = greatest_power_of_two;
for (int i = greatest_power_of_two - 1; i >= 0; i--) {
pre_ans.push_back(i);
if (diff & (1LL << i)) {
pre_ans.push_back(counter);
counter++;
}
}
vector<int> ans;
for (int i = pre_ans.size() - 1; i >= 0; i--) {
ans.push_back(pre_ans[i]);
// cout << pre_ans[i] << ' ';
}
// cout << '\n';
return ans;
}
