UVa 539 - The Settlers of Catan

539 The Settlers of Catan

 * http://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&category=7&page=show_problem&problem=480

Summary
Find the longest trail in a graph (ie: no repeated edges, possibly repeated vertices)

Explanation
This is a simple problem with a brute-force solution. There are only up to 25 nodes with up to 25 edges, so a brute-force approach will work fine.

For each vertex, perform a Depth-First Search on the graph. Find the longest trail you can traverse in this manner.

Input
3 2 0 1 1 2 15 16 0 2 1 2 2 3 3 4 3 5 4 6 5 7 6 8 7 8 7 9 8 10 9 11 10 12 11 12 10 13 12 14 0 0

Output
2 12