#include "perm.h"
#include<bits/stdc++.h>
#define sz size()
#define ll long long
using namespace std;
mt19937_64 rnd(2983101);
vector<int> construct_permutation(ll k)
{
ll z = 1, sum = 0;
--k;
vector<ll> x;
for(ll t = 1; t <= 100; ++t)
for(ll j = 59; j >= 0; --j)
{
if((z << j) - 1 > k) continue;
x.push_back(j);
k -= (z << j) - 1;
sum += j;
}
for(ll st = 0; st <= 1000; ++st)
{
vector<ll> _x;
ll _k = k;
ll cnt = 0;
for(ll t = 1; t <= 500 && _k > 0; ++t)
{
ll mx = (63ll - __builtin_clzll(_k));
ll m = rnd() % mx;
++m;
if((1ll << m) > _k) continue;
_k -= (1ll << m);
_x.push_back(m);
cnt += m;
}
if(cnt > 0 && cnt < sum)
sum = cnt, x = _x;
}
reverse(x.begin(), x.end());
ll cur = 0;
vector<int> ans;
for(ll t : x)
{
for(ll i = cur + t; i > cur; --i)
ans.push_back(i - 1);
cur += t;
}
reverse(ans.begin(), ans.end());
return ans;
}
//signed main()
//{
// ios_base::sync_with_stdio(0);
// cin.tie(0), cout.tie(0);
// ll n;
// cin >> n;
// for(auto i : construct_permutation(n))
// cout << i << ' ';
//}
