#include "supertrees.h"
#include <bits/stdc++.h>
using namespace std;

int construct(vector<vector<int>> p) {
	int n = p.size();
	vector<vector<int>> ans;
	for (int i = 0; i < n; i++) {
		vector<int> row;
		row.resize(n);
		ans.push_back(row);
	}
	for(int i = 0; i < n;i++){
		if(p[i][i] != 1) return 0;
		for(int j = i + 1;j < n;j++){
			if(p[i][j] != p[j][i] || p[i][j] == 3) return 0;
		}
	}
	vector<bool> vis(n, false);

	for(int i = 0; i < n;i++){
		if(vis[i]) continue;
		vis[i] = true;
		vector<int> curr(1, i);
		for(int j = i + 1; j < n;j++){
			if(p[i][j] != 0 && vis[j]) return 0;
			if(p[i][j] != 0) curr.push_back(j), vis[j] = true;
		}
		int m = curr.size();
		vector<vector<int>> branches;
		vector<bool> temp(n, false);
		for(int a = 0; a < m;a++){
			int x = curr[a];
			if(temp[x]) continue;
			vector<int> add;
			add.push_back(x);
			for(int b = a+1; b < m;b++){
				int y = curr[b];
				if(p[x][y] == 1){
					add.push_back(y);
					temp[y] = true;
				}
			}
			branches.push_back(add);
		}

		if(branches.size() == 2) return 0;
		
		for(vector<int> x : branches){
			for(int a : x){
				for(int b : x){
					if(a == b) continue;
					if(p[a][b] != 1) return 0;
				}
			}
			for(int a = 0; a < x.size() - 1;a++){
				ans[x[a]][x[a+1]] = ans[x[a+1]][x[a]] = 1;
			}
		}

		int szbr = branches.size();
		int szcurr = curr.size();
		for(int x = 0; x < szbr;x++){
			vector<bool> bb(n);
			for(int a : branches[x]){
				bb[a] = true;
			}
			for(int a : branches[x]){
				for(int b : curr){
					if(bb[b]) continue;
					if(p[a][b] != 2) return 0;
				}
			}
		}

		for(int j = 1; j < szcurr;j++){
			for(int k = 0; k < n;k++){
				int a = curr[j];
				int b = curr[0];
				if(a == k || b == k) continue;
				bool ok1 = p[a][k] >=1;
				bool ok2 = p[b][k] >=1;
				if(ok1 != ok2) return 0;
			}
		}
		
		for(int x = 0; x < szbr - 1; x++){
			ans[branches[x][0]][branches[x+1][0]] = ans[branches[x+1][0]][branches[x][0]] = 1;
		} 
		if(branches.size() > 1) ans[branches[0][0]][branches[szbr-1][0]] = ans[branches[szbr-1][0]][branches[0][0]] = 1;
	}

	build(ans);

	// for(auto x : ans){
	// 	for(auto y : x){
	// 		cout << y << ' ';
	// 	} cout << '\n';
	// }

	return 1;
}


// int32_t main(){
// 	// cout << construct({{1, 1, 2, 2}, {1, 1, 2, 2}, {2, 2, 1, 2}, {2, 2, 2, 1}}) << '\n';
// 	// cout << construct({{1}});
// 	// cout << construct({{1, 1, 1},
// 	// 				   {1, 1, 1},
// 	// 				   {1, 1, 1}});
// 	int n; cin >> n;
// 	vector<vector<int>> arr(n,vector<int>(n));
// 	for(int i = 0; i < n;i++){
// 		for(int j = 0; j < n;j++) cin >> arr[i][j];
// 	}
// 	cout << construct(arr);
// }