#include "perm.h"
#include<bits/stdc++.h>
#define vi vector<int>
#define f0r(i, n) for(int i = 0;i<n;i++)
#define ll long long int
#define pb push_back
using namespace std;
std::vector<int> construct_permutation(long long k)
{
k--;
vi ans;
vi nums;
int ansl = 0;
ll cur;
for(int i = 59; i > 1; i--){
cur = pow(2, i) - 1;
if(k > (cur)){
k -= cur;
ansl += i;
nums.pb(i);
}
}
//for(auto u : nums)cout<<u<<' ';
//cout<<'\n';
int curr = ansl - 1;
ansl += k - 1;
f0r(i, k){
ans.pb(ansl);
ansl--;
}
for(auto u : nums){
for(int i = curr - u + 1; i <= curr; i++)ans.pb(i);
curr -= u;
}
//for(auto u : ans)cout<<u<<' ';
return ans;
}
