#include <vector>
#include <bits/stdc++.h>
#include "messy.h"
using namespace std;
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define REP(n) FOR(O, 1, (n))
#define f first
#define s second
#define pb push_back
typedef vector<int> vi;
typedef pair<int, int> pii;
typedef vector<pii> vii;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
std::vector<int> restore_permutation(int n, int w, int r) {
string s = "";
REP(n) s += "0";
FOR(i, 0, n-1) {
s[i] = '1';
add_element(s);
}
compile_set();
vi perm(n);
string cur = "";
REP(n) cur += "0";
FOR(i, 0, n-1) {
vi shuf(n);
FOR(x, 0, n-1) shuf[x] = x;
shuffle(shuf.begin(), shuf.end(), rng);
FOR(x, 0, n-1) {
int j = shuf[x];
if (cur[j] == '1') continue;
cur[j] = '1';
bool ok = check_element(cur);
if (ok) {
perm[j] = i;
break;
}
cur[j] = '0';
}
}
return perm;
}
