#include "perm.h"
#include<bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
// #define int long long
#define rep(i,n) for(int i=0;i<(n);i++)
#define rng(i,l,r) for(int i=(l);i<(r);i++)
#define rrep(i,n) for(int i=(n)-1;i>=0;i--)
#define rrng(i,l,r) for(int i=(r)-1;i>=(l);i--)
#define fi first
#define se second
#define all(x) (x).begin(),(x).end()
struct fast_io{fast_io(){std::cin.tie(nullptr)->sync_with_stdio(false);}}_;
using ll=long long;
std::vector<int> construct_permutation(long long k)
{
k--;
auto dfs=[&](auto dfs,ll t)->vector<int> {
if(t==0)return {};
if(t%2){
vector<int> p=dfs(dfs,t/2);
for(auto&&e:p)e++;
p.insert(p.begin(),0);
return p;
}else{
if(t>=4&&(t-4)%5==0){
vector<int> p=dfs(dfs,(t-4)/5);
for(auto&&e:p)e+=3;
p.insert(p.begin(),1);
p.insert(p.begin(),2);
p.insert(p.begin(),0);
return p;
}else{
vector<int> p=dfs(dfs,t-1);
p.insert(p.begin(),p.size());
return p;
}
}
};
vector<int> ans=dfs(dfs,k);
return ans;
}
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