#include "perm.h"
#include<bits/stdc++.h>
using namespace std;
typedef vector<int> vi;
vi tr(long long k, int off){
vi a;
int cnt=62;
long long qq = (1LL<<off);
if(k<qq) return vi(5000, 0);
k-=qq;
while(k>0 && cnt>off){
while(k>=(1LL<<cnt)-qq){
k-=((1LL<<cnt)-qq);
a.push_back(cnt-off);
}
cnt--;
}
//cout<<k<<" left"<<endl;
vi b;
int p=off-1;
for(auto v : a){
for(int i=p+v;i>p;i--){
b.push_back(i);
}
p = p+v;
}
for(int i=off-1;i>=0;i--) b.push_back(i);
while(k) b.push_back(++p), k--;
reverse(b.begin(), b.end());
return b;
}
vector<int> construct_permutation(long long k)
{
vi ans;
int cnt=61;
int aa=0;
vi ins;
while(cnt>=0){
if(k&(1LL<<cnt)){
ins.push_back(cnt);
if(ans.size()==0){
for(int i=0;i<cnt;i++) ans.push_back(i);
aa = cnt;
}
else{
ans.insert(ans.begin()+cnt, aa++);
}
}
cnt--;
}
/*
for(int i=0;i<20;i++){
vi b = tr(k, i);
if(b.size()<ans.size() || ans.size()==0) ans = b;
}*/
return ans;
}
