Problem:
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Graph

There are two standard ways to represent a graph $G = (V, E)$, where $V$ is a set of vertices and $E$ is a set of edges; Adjacency list representation and Adjacency matrix representation.

An adjacency-list representation consists of an array $Adj[|V|]$ of $|V|$ lists, one for each vertex in $V$. For each $u \in V$, the adjacency list $Adj[u]$ contains all vertices $v$ such that there is an edge $(u, v) \in E$. That is, $Adj[u]$ consists of all vertices adjacent to $u$ in $G$.

An adjacency-matrix representation consists of $|V| \times |V|$ matrix $A = a_{ij}$ such that $a_{ij} = 1$ if $(i, j) \in E$, $a_{ij} = 0$ otherwise.

Write a program which reads a directed graph $G$ represented by the adjacency list, and prints its adjacency-matrix representation. $G$ consists of $n\; (=|V|)$ vertices identified by their IDs $1, 2,.., n$ respectively.

Input

In the first line, an integer $n$ is given. In the next $n$ lines, an adjacency list $Adj[u]$ for vertex $u$ are given in the following format:

$u$ $k$ $v_1$ $v_2$ ... $v_k$

$u$ is vertex ID and $k$ denotes its degree. $v_i$ are IDs of vertices adjacent to $u$.

Output

As shown in the following sample output, print the adjacent-matrix representation of $G$. Put a single space character between $a_{ij}$.

Constraints

$1 \leq n \leq 100$

Sample Input

4
1 2 2 4
2 1 4
3 0
4 1 3

Sample Output

0 1 0 1
0 0 0 1
0 0 0 0
0 0 1 0

Solution in C# (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Text;
using System.Text.RegularExpressions;
using static System.Math;

namespace CSharpSpiral {
	class Program {
		static void Main(string[] args) {
			var sw = new StreamWriter(Console.OpenStandardOutput()) {
				AutoFlush=
#if DEBUG
			true
#else
			false
#endif
			};
			Console.SetOut(sw);
			new Program().Solve(new ConsoleInput(
#if DEBUG
			new StreamReader("../../../inputData.txt")
#else
			Console.In
#endif
			, ' '));
			Console.Out.Flush();
		}
		public void Solve(ConsoleInput cin) {
			var N = cin.ReadInt;
			var G = new Graph<int>(N);
			for(int i = 0; i<N; i++) {
				var u = cin.ReadInt;
				var k = cin.ReadInt;
				if(k==0) continue;
				var emits = cin.ReadIntArray(k);
				foreach(var to in emits) {
					G.AddEdge(u-1, to-1, 1);
				}
			}
			Console.WriteLine(G.EmitMatrix());
		}

	}
	static class ExtendClass {
		public static void Swap<T>(this T[] A, int x, int y) {
			var tmp = A[x];
			A[x]=A[y];
			A[y]=tmp;
		}
		public static string Join<T>(this IEnumerable<T> X, string separator = " ") => string.Join(separator, X);
		public static IEnumerable<int> Indices<T>(this T[] X) => Enumerable.Range(0, X.Length);
		public static IEnumerable<int> Indices<T>(this T[,] X, int dim)
			=> Enumerable.Range(0, X.GetLength(dim));
		//public static IEnumerable<(int i1, int i2)> Indices<T>(this T[,] X)
		//	=> X.Indices(0).SelectMany(i => X.Indices(1).Select((i, j) => (i, j)));
		public static string Join<T>(this T[,] X, string separatorD2 = ",", string separatorD1 = "\n")
			=> X.Indices(0).Select(
				i => X.Indices(1).Select(j => X[i, j]).Join(separatorD2)
			).Join(separatorD1);
	}
	class ConsoleInput {
		private readonly TextReader _stream;
		private readonly char _separator = ' ';
		private readonly Queue<string> inputStream;
		public ConsoleInput(TextReader stream, char separator = ' ') {
			this._separator=separator;
			this._stream=stream;
			inputStream=new Queue<string>();
		}
		public string Read {
			get {
				if(inputStream.Count!=0) return inputStream.Dequeue();
				string[] tmp = _stream.ReadLine().Split(_separator);
				for(int i = 0; i<tmp.Length; ++i)
					inputStream.Enqueue(tmp[i]);
				return inputStream.Dequeue();
			}
		}
		public string ReadLine { get { return _stream.ReadLine(); } }
		public int ReadInt { get { return int.Parse(Read); } }
		public long ReadLong { get { return long.Parse(Read); } }
		public double ReadDouble { get { return double.Parse(Read); } }
		public string[] ReadStrArray(long N) {
			var ret = new string[N];
			for(long i = 0; i<N; ++i)
				ret[i]=Read;
			return ret;
		}
		public int[] ReadIntArray(long N) { var ret = new int[N]; for(long i = 0; i<N; ++i) ret[i]=ReadInt; return ret; }
		public long[] ReadLongArray(long N) { var ret = new long[N]; for(long i = 0; i<N; ++i) ret[i]=ReadLong; return ret; }
		public double[] ReadDoubleArray(long N) { var ret = new double[N]; for(long i = 0; i<N; ++i) ret[i]=ReadDouble; return ret; }
		public bool isEOF {
			get { return _stream.Peek()==-1; }
		}
	}
	class Node<T> {
		public T Value { get; set; }
		public int Id { get; set; }
		public virtual List<Edge<T>> Outs { get; set; } = new List<Edge<T>>();
		public void Adopt(Edge<T> child) {
			Outs.Add(child);
		}

		public virtual List<Node<T>> Nexts() => Outs.Select(e => e.to).ToList();
	}
	struct Edge<T> {
		public Node<T> from { get; set; }
		public Node<T> to { get; set; }
		public T value { get; set; }
		public Edge(Node<T> _from, Node<T> _to, T _value) {
			from=_from; to=_to; value=_value;
		}
	}
	class Graph<T> {
		public Node<T>[] member { get; }
		public int N { get; }
		public Graph(int N) {
			member=new Node<T>[N];
			this.N=N;
			for(int i = 0; i<N; i++) {
				member[i]=new Node<T>() { Id=i };
			}
		}
		public void AddEdge(int i, int j, T value) {
			var e = new Edge<T>(member[i], member[j], value);
			member[i].Adopt(e);
		}
		public string EmitMatrix() {
			var rows = new string[N];
			for(int i = 0; i<N; i++) {
				var values = new T[N];
				foreach(var e in member[i].Outs)
					values[e.to.Id]=e.value;
				rows[i]=values.Join();
			}
			return rows.Join("\n");
		}
	}
}