#include <bits/stdc++.h>
#include "supertrees.h"
using namespace std;
const int mxN = 1007;
int dsu[mxN][2];
bool mark[mxN], done[mxN];
vector<int> cmp[mxN][2];
int find(int x, int id) {
return dsu[x][id] < 0 ? x : dsu[x][id] = find(dsu[x][id], id);
}
bool unite(int x, int y, int id) {
x = find(x, id), y = find(y, id);
if (x == y) {
return false;
}
if (dsu[x][id] > dsu[y][id]) {
swap(x, y);
}
dsu[x][id] += dsu[y][id];
dsu[y][id] = x;
for (auto c : cmp[y][id]) {
cmp[x][id].push_back(c);
}
return true;
}
int construct(vector<vector<int>> p) {
int n = p.size();
memset(dsu, -1, sizeof(dsu));
vector<vector<int>> ans(n, vector<int>(n));
for (int i = 0; i < n; ++i) {
cmp[i][0].push_back(i);
cmp[i][1].push_back(i);
}
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
if (p[i][j] == 1) {
if (unite(i, j, 0)) {
ans[i][j] = ans[j][i] = 1;
}
}
}
}
for (int i = 0; i < n; ++i) {
for (int j = i + 1; j < n; ++j) {
if (p[i][j] == 2) {
int x = find(i, 0), y = find(j, 0);
if (x == y) {
return 0;
}
if (find(x, 1) == find(y, 1)) {
continue;
}
for (auto u : cmp[x][0]) {
for (auto v : cmp[y][0]) {
if (p[u][v] != 2) {
return 0;
}
}
}
unite(x, y, 1);
}
}
}
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
int x = find(i, 0), y = find(j, 0);
if (!p[i][j] && (x == y || find(x, 1) == find(y, 1))) {
return 0;
}
if (p[i][j] == 1 && x != y && find(x, 1) == find(y,1)) {
return 0;
}
}
}
for (int i = 0; i < n; ++i) {
int x = find(i, 0);
int z = find(x, 1);
if (done[z] || cmp[z][1].size() == 1) {
continue;
}
if (cmp[z][1].size() == 2) {
return 0;
}
for (int j = 0; j < cmp[z][1].size() - 1; ++j) {
int a = cmp[z][1][j], b = cmp[z][1][j+1];
ans[a][b] = ans[b][a] = 1;
}
int a = cmp[z][1][0], b = cmp[z][1].back();
ans[a][b] = ans[b][a] = 1;
}
build(ans);
return 1;
}