#pragma GCC optimize("O3", "fast-math", "unroll-loops", "no-stack-protector")
#include <bits/stdc++.h>
using namespace std;
#if !defined(ONLINE_JUDGE) and !defined(EVAL)
#include "template/debug.h"
#else
#define d(x...)
#endif
#define fr first
#define er erase
#define in insert
#define sc second
#define ll long long
#define pb push_back
#define vll vector<ll>
#define pll pair<ll,ll>
#define len(x) (ll) x.size()
#define all(x) x.begin(),x.end()
const ll INF = 1e9, INFL = 1e18;
const ll MOD = 1e9 + 7;
// const ll MOD = 998244353;
const ll maxn = 1e6 + 5;
ll n, m, k = 0;
vll merge(vll a, vll b, ll off = 0){
for(ll i = 0; i < len(b); i ++) a.pb(b[i] + off);
return a;
}
vll f(ll x){
if(x == 1){
return {};
}
if(x == 2){
return {0};
}
for(ll i : {13, 11, 5, 3, 2}){
if(x % i == 0 and x > i and x != i * i){
vll a = f(i);
vll b = f(x / i);
return merge(a, b, len(a));
}
}
vll a = f(x / 2);
a = merge(a, {len(a)});
if(x % 2 == 1) a = merge({len(a)}, a);
return a;
}
vector<int> construct_permutation(ll k){
auto v = f(k);
vector<int>cv;
for(auto i : v){
cv.pb(i);
}
return cv;
}
// void _() {
// ll q;
// cin >> q;
// auto v = construct_permutation(q);
// for(auto i : v) cout << i << ' ' ;
// }
// signed main() {
// ll tm = clock();
// cin.tie(0)->sync_with_stdio(0);
// ll t = 1;
// // cin >> t;
// for(ll tt = 1; tt <= t; tt ++) _();
// cerr << "\n\033[1;31mTime: \033[1;30m" \
// << (double)(clock()-tm)/1000000 << "\033[1;32m seconds\n";
// }
