Problem:
MathJax.Hub.Config({ tex2jax: { inlineMath: [["$","$"], ["\\(","\\)"]], processEscapes: true }});

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 Ruby (judge verdict: Accepted)

#! /usr/bin/ruby -w
# encoding: utf-8
#

class Array
  def disp
    sep = ""
    self.each do |e|
      print sep
      print e
      sep = " "
    end
    puts
  end
end

if $0 == __FILE__
  n = gets.to_i
  g = []
  n.times {
    row = Array.new(n, 0)
    info = gets.split.map(&:to_i)
    outdegree = info[1]
    outdegree.times do |t|
      adj = info[t + 2]
      row[adj - 1] = 1
    end
    g << row
  }
  g.each { |row| row.disp }
end