#include "messy.h"
#include "bits/stdc++.h"
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vii;
typedef vector<ll> vll;
typedef vector<pii> vpii;
typedef vector<pll> vpll;
typedef vector<vii> vvii;
typedef vector<vll> vvll;
typedef vector<vpii> vvpii;
typedef vector<vpll> vvpll;
#define ffor(i, a, b) for (ll i = (a); i < (ll)(b); i++)
#define fford(i, a, b) for (ll i = (a); i > (ll)(b); i--)
#define rep(i, n) ffor(i, 0, n)
#define forin(x, a) for (auto &x: a)
#define all(a) a.begin(), a.end()
std::vector<int> restore_permutation(int n, int w, int r) {
string el(n, '0');
rep(i, n - 1) {
el[i] = '1';
add_element(el);
}
compile_set();
vii res(n);
set<int> rem;
rep(i, n) {
rem.emplace(i);
}
string curr(n, '0');
int cnt = 0;
while (rem.size() > 1) {
forin(x, rem) {
curr[x] = '1';
if (check_element(curr)) {
res[x] = cnt++;
rem.erase(x);
break;
}
curr[x] = '0';
}
}
res[*rem.begin()] = cnt;
return res;
}
