This code calculates the prime path coverage for any given graph.

1. Compile the GraphTest.java file using a Java compiler.

   javac GraphTest.java

2. Run the compiled class file.

   java GraphTest

3. Follow the on-screen prompts to input the number of vertices, the number of edges, and then each edge as a pair of integers representing the start and end vertices.

Enter the number of vertices: 4

Enter the number of edges: 5

Enter 5 edges: 0 1 0 2 1 3 2 3 3 0

All paths and cycles:

[0] [1] [2] [3] [0, 1] [0, 2] [1, 3] [2, 3] [3, 0] [0, 1, 3] [0, 2, 3] [1, 3, 0] [2, 3, 0] [3, 0, 1] [3, 0, 2] [0, 1, 3, 0] [0, 2, 3, 0] [1, 3, 0, 1] [1, 3, 0, 2] [2, 3, 0, 1] [2, 3, 0, 2] [3, 0, 1, 3] [3, 0, 2, 3]

Total of paths and cycles: 23

All Prime paths:

[0, 1, 3, 0] [0, 2, 3, 0] [1, 3, 0, 1] [1, 3, 0, 2] [2, 3, 0, 1] [2, 3, 0, 2] [3, 0, 1, 3] [3, 0, 2, 3]

Total of Prime paths: 8