Adjacency Matrix

Write a program to read integers into an n x n array. Then determine whether that matrix is a valid adjacency matrix for a simple undirected graph. If the matrix represents a valid adjacency matrix, find the degree of each vertex along with the total number of edges. If the matrix does not represent a valid adjacency matrix, output INVALID

Sample input file:

2
4
0 0 1 1
0 0 0 1
1 0 0 0
0 1 0 0
5
0 1 1 0 1
1 0 0 1 0
1 0 0 0 1
0 1 0 0 1
1 0 1 1 0

Sample output file:

Cerise Wuthrich
Matrix 1
INVALID

Matrix 2
Degree of:
Vertex A: 3
Vertex B: 2
Vertex C: 2
Vertex D: 2
Vertex E: 3
Number of edges: 6

Specific requirements:

• Output your name at the top of the output file.
• The first number in the input file indicates the number of adjacency matrix in the file.
• For each set of data, there will be an integer n indicatin the number of vertices for the current graph.
• Following that will be n rows with n entries each of integers.
• You must use arrays or vectors in this program.
• If you use arrays, you must dynamically allocate memory for each array and properly free up that memory when you finish processing that particular matrix (array).
• There will not be more than 26 vertices.
• No global variables!
• Label vertices A, B, C, etc.