#include "perm.h"
#include <bits/stdc++.h>
using namespace std;
vector<int> construct_permutation(long long k) {
if (k == 1) {
return {};
}
vector<int> nums = {2, 3, 4, 5, 6, 7, 8, 9, 10};
for (auto p: nums) {
if (k % p == 0) {
vector<int> res = construct_permutation(k / p);
int n = res.size();
for (int i = p - 2; i >= 0; i--) {
res.push_back(n + i);
}
return res;
}
}
vector<int> res = construct_permutation(k / 2);
int n = res.size();
res.push_back(n);
if (k % 2 == 1) {
for (auto &x: res) {
x++;
}
res.push_back(0);
}
return res;
}
