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>
#define ll long long
#define pb push_back
using namespace std;
vector<int> x;
int n;
vector<int> construct_permutation(ll k){
	if (k == 1)return {};
	if (k == 2)return {0};
	if (k == 3)return {1, 0};
	if (k % 4 == 0){
		x = construct_permutation(k / 4);
		n = x.size();
		x.pb(n);
		x.pb(n + 1);
		return x;
	}
	if (k % 4 == 1){
		x = construct_permutation(k / 4);
		n = x.size();
		for (int i = 0; i < n; i++)x[i]++;
		x.pb(n + 1);
		x.pb(n + 2);
		x.pb(0);
		return x;
	}
	if (k % 4 == 2){
		x = construct_permutation(k / 4);
		n = x.size();
		for (int i = 0; i < n; i++)x[i]++;
		x.pb(n + 1);
		x.pb(0);
		x.pb(n + 2);
		return x;
	}
	x = construct_permutation(k / 4);
	n = x.size();
//	int z = -1, o = -1;
//	for (int i = 0; i < n; i++){
//		if (x[i] == 0)z = i;
//		if (x[i] == 1)o = i;
//	}
	if (k / 4 % 4 != 0 && k > 11){
		for (int i = 0; i < n; i++)if (x[i] > 1)x[i]++;
		x.pb(n + 1);
		x.pb(n + 2);
		x.pb(2);
		return x;
	}
	for (int i = 0; i < n; i++)x[i] += 2;
	x.pb(n + 2);
	x.pb(1);
	x.pb(n + 3);
	x.pb(0);
	return x;
}
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