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
std::vector<int> construct_permutation(long long k)
{
	int sz = 10000;
	vector<int> best;
	for(ll l = 1 ;l < 10000 ;l++)
	{
		ll x = k + l - 1;
		if(__builtin_popcountll(x) <= l)
		{
			int n = 0;
			multiset<int> bits;
			for(ll i = 0 ; i < 61 ; i++)
			{
				if((1ll<<i) & x)
				{
					bits.insert(i);
				}
			}
			bool ok = 1;
			while ((int)bits.size() < l)
			{
				auto it = upper_bound(bits.begin() , bits.end() ,0);
				if(it == bits.end())
				{
					ok = 0;
					break;
				}
				int val = *it;
				bits.erase(it);
				bits.insert(val - 1);
				bits.insert(val - 1);
			}
			if(!ok)
				continue;
			for(auto bit : bits)
				n+=bit;
			n--;
			vector<int> perm;
			for(auto i : bits)
			{
				for(int j = n - i + 1 ; j <= n ; j++)
				{
					perm.push_back(j);
				}
				n-=i;
			}
			if((int)perm.size() < sz)
			{
				sz = (int)perm.size();
				best = perm;
			}
		}
	}
	return best;
}
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