This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "perm.h"
#include<bits/stdc++.h>
using namespace std;
#define ll long long
vector<int> bits;
void add(ll k)
{
	if(k == 0)
	{
		return;
	}
	for(ll i = 59 ; i >= 1 ; i--)
	{
		if(k - ((1ll<<i) - 1) >= 0)
		{
			bits.push_back(i);
			k-=((1ll<<i) - 1);
			add(k);
			break;
		}
	}
}
std::vector<int> construct_permutation(long long k)
{
	k--;
	int n = 0;
	bits.clear();
	for(ll i = 0 ; i < 60 ; i++)
	{
		if((1ll<<i) & k)
		{
            bits.push_back(i);
			n+=i + 1;
		}
	}
    n--;
    vector<int> perm;
    for(auto i : bits)
    {
        for(int j = n - i + 1 ; j <= n ; j++)
        {
            perm.push_back(j);
        }
        n-=i;
    }
    while(n >= 0)
    {
        perm.push_back(n);
        n--;
    }
	vector<int> best = perm;
	perm.clear();
	bits.clear();
	n = 0;
	add(k);
	for(auto bit : bits)
		n+=bit;
	n--;
	for(auto i : bits)
	{
		for(int j = n - i + 1 ; j <= n ; j++)
		{
			perm.push_back(j);
		}
		n-=i;
	}
	if((int)perm.size()< (int)best.size())
		return perm;
	else
		return best;
}
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