Your task is to write a function, numReachable, that returns the number of vertices that are reachable from a source vertex in the given graph, including the source vertex itself.

Click here to download a zip of the files.

Graph.c |
Contains the implementation of a graph ADT |

Graph.h |
Contains the interface of the graph ADT |

testNumReachable.c |
Contains the main function, which reads in a graph from standard input, calls numReachable for each vertex read in, and prints out the results. |

numReachable.c |
Contains numReachable, the function you must implement |

Makefile |
A makefile to compile your code |

tests/ |
A directory containing the inputs and expected outputs for some basic tests |

autotest |
A script that uses the tests in the tests directory to autotest your solution. You should only run this after you have tested your solution manually. |

Your program should behave like these examples:

```
$ ./testNumReachable
Enter number of vertices: 12
Enter number of edges: 11
Enter edges in the form v-w: 0-8 0-3 3-8 0-10 10-2 1-9 1-5 5-9 4-6 4-7 4-11
Graph: nV = 12
Edges:
0: 0-3 0-8 0-10
1: 1-5 1-9
2: 2-10
3: 3-0 3-8
4: 4-6 4-7 4-11
5: 5-1 5-9
6: 6-4
7: 7-4
8: 8-0 8-3
9: 9-1 9-5
10: 10-0 10-2
11: 11-4
Enter the source vertex: 2
Number of vertices reachable from vertex 2: 5
Enter the source vertex: 1
Number of vertices reachable from vertex 1: 3
Enter the source vertex: 4
Number of vertices reachable from vertex 4: 4
Enter the source vertex: (Ctrl + D)
```

```
$ ./testNumReachable
Enter number of vertices: 12
Enter number of edges: 7
Enter edges in the form v-w: 0-1 2-3 3-4 5-9 5-10 9-11 10-11
Graph: nV = 12
Edges:
0: 0-1
1: 1-0
2: 2-3
3: 3-2 3-4
4: 4-3
5: 5-9 5-10
6:
7:
8:
9: 9-5 9-11
10: 10-5 10-11
11: 11-9 11-10
Enter the source vertex: 3
Number of vertices reachable from vertex 3: 3
Enter the source vertex: 6
Number of vertices reachable from vertex 6: 1
Enter the source vertex: 5
Number of vertices reachable from vertex 5: 4
Enter the source vertex: (Ctrl + D)
```

You can test your program manually by compiling your code using `make`

, and then running `./testNumReachable`

, as shown above. After you are satisfied with your solution, you can autotest it by running `./autotest`

. This will run some basic tests on your program.