#include "perm.h"
// MagicDark
#include <bits/stdc++.h>
#define debug cerr << "\033[32m[" << __LINE__ << "]\033[0m "
#define SZ(x) ((int) x.size() - 1)
#define all(x) x.begin(), x.end()
#define ms(x, y) memset(x, y, sizeof x)
#define F(i, x, y) for (int i = (x); i <= (y); i++)
#define DF(i, x, y) for (int i = (x); i >= (y); i--)
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
template <typename T> T& chkmax(T& x, T y) {return x = max(x, y);}
template <typename T> T& chkmin(T& x, T y) {return x = min(x, y);}
template <typename T> T& read(T &x) {
	x = 0; int f = 1; char c = getchar();
	for (; !isdigit(c); c = getchar()) if (c == '-') f = -f;
	for (; isdigit(c); c = getchar()) x = (x << 1) + (x << 3) + (c ^ 48);
	return x *= f;
}

std::vector<int> construct_permutation(long long n) {
	n--;
	vector <int> ans;
	// if (n <= 90) {
	// 	F(i, 1, n) ans.push_back(n - i);
	// 	return ans;
	// }
	DF(i, 60, 1) {
		ll w = (1ll << i) - 1;
		while (n >= w) {
			for (int& j: ans) j += i;
			F(j, 1, i) ans.push_back(j - 1);
			n -= w;
		}
	}
	return ans;
}