Trains

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Introduction to the Problem

The problem below requires some kind of input. You are free to implement any mechanism for feeding input into your solution (for example, using hard coded data within a unit test). You should provide sufficient evidence that your solution is complete by, as a minimum, indicating that it works correctly against the supplied test data.

Problem: Trains

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 E. 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

How to use this piece of code

1. Clone repo:

git clone [email protected]:Slony/trains.git

2. Change directory:

cd trains

3. Run script:

ruby ./app.rb

4. Install gems if you want to run RSpec:

bundle install

5. Run tests:

rspec

6. Run RDoc to make HTML documentation in doc folder:

rdoc -a -m README.md -x doc