This is an implementation of the local commuter railroad problem: To run the example output scenarios run the command ruby run.cmd This design contains the following main objects City, Route and Routes. City contains a collection of City objects that it connects directly to. This object can build routes to a set of connecting cities. These routes can be built based on a fixed set of connecting cities or via origin and destination and a maximum number of stops. A Route can be a single origin and destination or a set of connected Routes. A Route can calculate its stops and its distance which will be a total distance in a set of connected routes. A Routes object is the creator of all City objects from the directed graph and associates the City to its destinations. The Routes object provides several options for filtering routes created by City objects. ------------------------------ Problem: The local commuter railroad services a number of towns in Kiwiland. Because of monetary concerns, all of the tracks are 'one-way.' That is, a route from Kaitaia to Invercargill does not imply the existence of a route from Invercargill to Kaitaia. In fact, even if both of these routes do happen to exist, they are distinct and are not necessarily the same distance! The purpose of this problem is to help the railroad provide its customers with information about the routes. In particular, you will compute the distance along a certain route, the number of different routes between two towns, and the shortest route between two towns. Input: A directed graph where a node represents a town and an edge represents a route between two towns. The weighting of the edge represents the distance between the two towns. A given route will never appear more than once, and for a given route, the starting and ending town will not be the same town. Output: For test input 1 through 5, if no such route exists, output 'NO SUCH ROUTE'. Otherwise, follow the route as given; do not make any extra stops! For example, the first problem means to start at city A, then travel directly to city B (a distance of 5), then directly to city C (a distance of 4). 1. The distance of the route A-B-C. 2. The distance of the route A-D. 3. The distance of the route A-D-C. 4. The distance of the route A-E-B-C-D. 5. The distance of the route A-E-D. 6. The number of trips starting at C and ending at C with a maximum of 3 stops. In the sample data below, there are two such trips: C-D-C (2 stops). and C-E-B-C (3 stops). 7. The number of trips starting at A and ending at C with exactly 4 stops. In the sample data below, there are three such trips: A to C (via B,C,D); A to C (via D,C,D); and A to C (via D,E,B). 8. The length of the shortest route (in terms of distance to travel) from A to C. 9. The length of the shortest route (in terms of distance to travel) from B to B. 10. The number of different routes from C to C with a distance of less than 30. In the sample data, the trips are: CDC, CEBC, CEBCDC, CDCEBC, CDEBC, CEBCEBC, CEBCEBCEBC. Test Input: For the test input, the towns are named using the first few letters of the alphabet from A to D. A route between two towns (A to B) with a distance of 5 is represented as AB5. Graph: AB5, BC4, CD8, DC8, DE6, AD5, CE2, EB3, AE7 Expected Output: Output #1: 9 Output #2: 5 Output #3: 13 Output #4: 22 Output #5: NO SUCH ROUTE Output #6: 2 Output #7: 3 Output #8: 9 Output #9: 9 Output #10: 7