#include<bits/stdc++.h>
using namespace std;
#define all(fl) fl.begin(),fl.end()
#define pb push_back
#define fi first
#define se second
#define for1(i,j,k) for(int i=j;i<=k;i++)
#define for2(i,j,k) for(int i=j;i>=k;i--)
#define for3(i,j,k,l) for(int i=j;i<=k;i+=l)
#define lb lower_bound
#define ub upper_bound
#define sz(a) (int)a.size()
#define pii pair<int,int>
#define pli pair<long long,int>
#define gcd __gcd
#define lcm(x,y) x*y/__gcd(x,y)
#define lastbit(i) __builtin_ctz(i)
vector<int> construct_permutation(long long k){
int num=0;
vector<int>vcl;
while (k){
for2(i,60,0){
if ((1ll<<i)-1<=k){
k-=(1ll<<i)-1;
vcl.pb(i);
num+=i;
}
}
}
vector<int>ans;
for (auto v:vcl){
vector<int>hjhj;
int dd=v;
while (dd){
hjhj.pb(num--);
}
reverse(all(hjhj));
for (auto u:hjhj){
ans.pb(u);
}
}
return ans;
}
/*signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
//freopen(".INP","r",stdin);
//freopen(".OUT","w",stdout);
}*/
