#include "perm.h"
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
using namespace std;
const long long INF = 1e17;
typedef long long ll;
const ll MOD = 998244353;
#define F first
#define pb push_back
#define S second
#define P pair
#define V vector
#define all(v) v.begin(), v.end()
int mx(ll n) {
int maxd=0;
for (int i=0;i<60;i++) {
if (((1LL<<i)&n)!=0) {
maxd=i;
}
}
return maxd;
}
std::vector<int> construct_permutation(long long k)
{
ll x=k;
V<int>v;
ll id=-1;
for (ll i=63;i>=0;i--) {
if (((1LL<<i)&x)!=0) {
id=i;
for (int j=0;j<i;j++) {
v.pb(2*j);
}
break;
}
}
for (ll i=id-1;i>=0;i--) {
if (((1LL<<i)&x)!=0) {
int val=-1;
for ( ll j=0;j<i;j++) {
val=v[j]+1;
}
v.pb(val);
}
}
V<int>l=v;
sort(all(l));
map<int,int>mp;
for (int i=0;i<(int)l.size();i++) {
mp[l[i]]=i;
}
for (auto &u:v) {
u=mp[u];
}
return v;
}
