#include "supertrees.h"
#include <vector>
#include <bits/stdc++.h>
using namespace std;
vector<int> link, sz;
int find(int x) {
if (link[x] != x) link[x] = find(link[x]);
return link[x];
}
void unite(int a, int b) {
int x = find(a), y = find(b);
sz[y] += sz[x];
link[x] = y;
}
bool same(int a, int b) {
return find(a) == find(b);
}
int construct(vector<vector<int>> p) {
int n = p.size();
vector<vector<int>> answer(n, vector<int>(n));
link = vector<int>(n);
sz = vector<int>(n, 1);
iota(link.begin(), link.end(), 0);
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
if (i == j) continue;
if (p[i][j] && !same(i, j)) unite(i, j);
}
}
for (int i = 0; i < n; i++) {
int prev = i;
for (int j = 0; j < n; j++) {
if (i == j) continue;
if (find(j) == i) {
answer[prev][j] = 1;
answer[j][prev] = 1;
prev = j;
}
}
if (prev != i) {
answer[prev][i] = 1;
answer[i][prev] = 1;
}
}
bool res = true;
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
if (i == j) continue;
res &= ((p[i][j] == 2) == same(i, j));
if (same(i, j)) res &= sz[find(i)] > 2;
}
}
if (res) {
build(answer);
return 1;
} else return 0;
}
