Competitions

# Graph representation

# From list of edges to adjacency matrix

The simple not oriented graph is given by the list of its edges. Print its representation as an adjacency matrix.

#### Input

The first line contains two integers **n** (**1** ≤ **n** ≤ **100**) - number of vertices and **m** (**1** ≤ **m** ≤ **n** · (**n** - **1**) / **2**) - number of edges. Next **m** lines contain **m** pairs of integers, each pair gives one edge of the graph.

#### Output

Print the adjacency matrix of the graph.

Input example #1

3 3 1 2 2 3 1 3

Output example #1

0 1 1 1 0 1 1 1 0