#include "simurgh.h"
#include <bits/stdc++.h>
using namespace std;
vector<int> u, v;
int n, m;
bool found = false;
vector<int> curr;
const int MN = 8;
int par[MN], sz[MN];
int find(int u) {
if (par[u] == u) return u;
return par[u] = find(par[u]);
}
void merge(int u, int v) {
if (u == v) return;
u = find(u);
v = find(v);
if (u == v) return;
if (sz[u] > sz[v]) swap(u, v);
par[u] = v;
sz[v] += sz[u];
}
bool good(vector<int> av) {
for (int i = 0; i < n; i++) {
par[i] = i;
sz[i] = 1;
}
for (auto x: av) {
if (find(u[x]) == find(v[x])) return false;
merge(u[x], v[x]);
}
return count_common_roads(av) == n-1;
}
void brute(int nxt = 0) {
if (curr.size() == n-1) {
if (good(curr)) {
found = true;
}
return;
}
if (nxt >= m) return;
curr.push_back(nxt);
brute(nxt+1);
if (found) return;
curr.pop_back();
brute(nxt+1);
return;
}
vector<int> find_roads(int N, vector<int> U, vector<int> V) {
u = U;
v = V;
n = N;
m = u.size();
brute();
return curr;
}
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