#include "supertrees.h"
#include <bits/stdc++.h>
using namespace std;
#define sz(v) (int)(v).size()
const int MAXN = 5000;
vector<int> adj[MAXN];
vector<pair<int, int>> eds;
bool vis[MAXN];
vector<int> cycle;
void dfs(int v) {
vis[v] = true;
cycle.push_back(v);
for (int viz : adj[v]) {
if (vis[viz]) continue;
dfs(viz);
}
}
int construct(vector<vector<int>> paths) {
int n = sz(paths);
for (int i=0; i<n; i++) {
for (int j=0; j<n; j++) {
if (i == j) continue;
if (paths[i][j] == 0) continue;
adj[i].push_back(j);
}
}
for (int i=0; i<n; i++) {
if (vis[i]) continue;
cycle.clear();
dfs(i);
if (sz(cycle) == 1) continue;
for (int u : cycle) {
for (int v : cycle) {
if (u == v) continue;
if (paths[u][v] == 0) return 0;
}
}
for (int j=1; j<sz(cycle); j++) eds.emplace_back(cycle[j], cycle[j-1]);
eds.emplace_back(cycle[0], cycle.back());
}
vector<vector<int>> ans(n, vector<int> (n, 0));
// cerr << sz(eds) << '\n';
for (auto [u, v] : eds) {
// cerr << u << ' ' << v << '\n';
ans[u][v] = ans[v][u] = 1;
}
build(ans);
return 1;
}
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