#include <bits/stdc++.h>
#include "supertrees.h"
using namespace std;
const int N = 1e3 + 10;
int n, par[N][3];
vector<vector<int>> output;
int root(int v, int id){
return (par[v][id] == -1 ? v : par[v][id] = root(par[v][id], id));
}
void merge(int u, int v, int id){
if ((u = root(u, id)) == (v = root(v, id)))
return ;
par[u][id] = v;
}
int construct(vector<vector<int>> p) {
n = p.size();
output.resize(n);
for (int i = 0; i < n; i++)
output[i].resize(n);
for (int i = 0; i < n; i ++)
for (int j = 0; j < n; j ++)
if (p[i][j] == 3)
return 0;
for (int v = 0; v < n; v ++)
par[v][0] = par[v][1] = -1;
for (int i = 0; i < n; i ++){
for (int j = 0; j < n; j ++){
if (p[i][j])
merge(i, j, 0);
if (p[i][j] == 1)
merge(i, j, 1);
}
}
for (int i = 0; i < n; i ++)
for (int j = 0; j < n; j ++)
if (p[i][j] == 0 and root(i, 0) == root(j, 0))
return 0;
for (int rr = 0; rr < n; rr ++){
vector<int> comp;
for (int i = 0; i < n; i ++)
if (root(i, 0) == rr)
comp.push_back(i);
if (comp.empty()) continue;
for (int i = 0; i + 1 < comp.size(); i ++)
output[comp[i]][comp[i + 1]] = output[comp[i + 1]][comp[i]] = 1;
bool cyc = 0;
for (int u : comp)
for (int v : comp)
if (p[u][v] == 2)
cyc = 1;
if (cyc) output[comp.back()][comp[0]] = output[comp[0]][comp.back()] = 1;
if (cyc and comp.size() < 3) return 0;
}
build(output);
return 1;
}
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