#include "perm.h"
#include<bits/stdc++.h>
using namespace std;
//Main function split it to #(2^k-1)
int cal_log2(long long int k){
int ans = 0;
while(k>>=1) ++ans;
return ans;
}
long long int cal_pow(int a){
long long int ans = 1;
while(a){
ans*=2;
a-=1;
}
return ans;
}
vector<int> split(long long int k){
vector<int> ans;
while(k){
//cout << k << " ";
long long int a = cal_log2(k+1);
ans.push_back(a);
k -= (long long int) cal_pow(a)-1;
}
return ans;
}
vector<int> construct_permutation(long long int k)
{
k-=1;
vector<int> process = split(k);
int Count = 0;
for(int i:process){
Count+=i;
}
vector<int> s;
for(int i:process){
for(int j=Count-i;j<Count;j++){
s.push_back(j);
}
Count-=i;
}
return s;
}
/*
int main(){
//vector<int> answer = construct_permutation(3);
//for(int i:answer) cout << i << " ";
vector<int> answer = construct_permutation(100);//split((long long int)1024*1024*1024*1024*1024*1024-1);
for(int i:answer) cout << i << " ";
}
*/
