UVa 10816 - Travel in Desert

10816 - Travel in Desert

 * http://acm.uva.es/p/v108/10816.html

Summary
A straightforward shortest path problem.

Explanation
There are many possible ways to solve this task. The easiest one is applying Shortest Path algorithm (Dijkstra, Floyd-Warshall, Bellman-Ford etc.) twice. Read the problem description carefully; the process is explained there clearly.

The I/O below is taken from http://online-judge.uva.es/board.

Input
3 3 1 3 1 2 10.0 10.0 1 2 11.0 9.0 2 3 11.0 10.0 10 100 1 10 2 8 0.1 33.5 10 5 35.9 27.9 3 5 14.6 10.6 2 8 49.2 36.2 6 3 43.7 2.8 2 5 15.4 30.3 2 7 39.6 11.9 8 7 3.9 37.2 10 3 30.0 6.8 6 5 31.2 30.4 3 4 16.5 7.4 4 9 14.5 34.8 3 8 36.0 3.8 4 2 27.9 33.0 7 6 34.3 19.1 9 7 44.3 24.1 5 9 30.6 24.7 1 10 35.1 37.1 7 2 4.9 39.4 10 4 45.5 8.5 7 1 37.7 16.7 2 9 44.0 14.5 7 4 3.9 33.8 9 3 4.2 13.0 4 6 15.9 24.0 5 1 30.7 37.8 4 7 24.6 22.2 5 3 33.0 27.1 8 4 1.3 29.8 7 1 13.7 36.2 6 8 7.5 5.6 2 3 15.1 15.1 2 5 43.1 36.7 8 2 33.8 0.8 6 10 25.9 21.0 2 9 44.7 2.3 7 1 16.9 1.4 1 2 15.6 36.3 1 10 3.8 2.5 9 4 4.2 39.6 3 1 33.7 29.2 5 1 2.2 19.7 9 10 48.5 6.9 2 5 50.0 5.4 1 9 46.8 12.8 9 4 48.4 24.9 8 2 11.8 31.1 4 5 11.7 31.0 6 2 25.0 20.1 10 7 30.4 39.9 5 9 11.0 24.5 10 3 48.6 39.6 4 8 0.4 11.5 9 1 11.9 25.9 1 7 28.2 39.9 10 9 15.8 1.0 9 3 18.0 3.9 1 8 19.2 35.9 6 9 1.2 35.7 3 5 5.6 27.3 9 7 38.7 36.3 6 4 14.3 27.0 5 7 49.9 28.2 3 2 20.0 2.2 8 7 39.0 29.3 6 3 1.1 20.1 4 10 18.9 26.2 2 10 42.4 5.6 3 6 28.6 18.3 9 7 25.8 21.8 10 5 19.0 12.2 7 10 19.3 36.9 5 10 1.3 24.2 6 1 25.4 11.9 10 4 49.7 28.0 8 10 43.8 15.0 7 10 19.6 19.4 8 7 10.6 28.7 9 3 23.5 5.6 5 2 17.2 11.7 7 4 35.6 31.4 6 4 30.9 11.3 3 6 25.7 31.4 2 9 48.3 4.7 2 5 22.3 39.7 10 2 45.1 33.6 4 7 16.0 4.5 3 10 2.5 5.4 5 1 15.0 34.6 7 4 2.3 7.5 8 6 39.2 35.9 3 6 41.5 7.8 3 10 7.1 23.4 9 8 27.1 17.4 4 9 48.6 39.3 3 1 12.8 1.4 3 10 12.6 12.8 4 5 47.3 22.4 4 3 9.4 30.6 6 2 14.3 9.3 10 100 1 10 3 7 40.1 26.5 8 1 47.5 1.4 6 4 26.1 11.2 7 8 5.1 8.6 1 5 12.5 29.6 10 6 19.5 17.7 9 3 46.7 17.2 9 4 48.5 25.2 9 5 15.3 32.0 1 8 42.7 26.1 1 8 31.6 17.1 7 8 25.9 4.4 5 10 8.7 28.3 6 8 47.5 37.8 6 8 42.9 3.0 4 1 46.3 10.3 4 7 26.2 13.8 5 1 11.7 20.3 1 7 27.2 21.2 2 8 2.1 35.4 1 5 26.4 18.9 1 2 33.0 26.3 1 4 7.9 15.9 6 8 20.1 27.8 9 10 26.1 30.4 8 5 10.9 7.8 4 8 35.1 20.2 1 9 38.5 19.4 6 1 20.5 31.2 6 7 35.1 7.3 4 6 21.7 15.7 7 8 35.8 12.7 8 2 36.2 27.0 7 3 11.3 1.8 8 7 4.2 38.6 4 10 6.6 23.0 10 3 35.6 29.7 4 3 23.5 38.5 5 3 37.0 25.8 3 4 48.4 20.8 2 6 34.9 6.8 6 9 14.3 22.4 5 2 17.6 34.2 10 6 37.1 2.2 7 5 28.4 0.6 1 9 20.2 28.0 4 5 3.5 3.8 7 4 20.6 17.7 3 9 30.1 28.2 4 2 35.6 25.6 2 8 17.9 2.5 3 4 17.4 29.7 1 4 7.3 7.6 9 1 43.3 21.8 3 6 33.2 37.0 1 9 9.1 28.6 8 10 14.6 39.1 4 5 24.1 25.2 5 9 26.0 33.6 3 6 18.2 6.5 4 10 10.9 17.6 3 8 5.7 35.0 2 8 4.2 6.8 10 1 17.5 21.4 2 8 18.4 21.6 4 3 10.2 22.5 3 10 42.9 27.1 8 5 28.7 7.6 9 1 34.8 28.8 5 4 16.4 2.2 7 4 17.2 21.1 10 1 4.3 16.5 10 4 20.5 39.2 9 3 20.6 35.1 6 10 42.3 30.4 9 8 14.9 38.5 2 5 7.6 11.4 6 3 17.9 34.7 10 3 48.6 12.0 10 5 4.1 6.6 6 9 37.1 31.9 2 4 47.3 33.3 3 8 26.4 17.1 2 4 2.8 2.4 1 10 6.6 1.6 9 4 8.9 14.8 4 8 46.4 1.0 10 2 34.3 38.9 9 1 25.9 2.2 5 9 19.1 14.7 10 4 12.1 23.1 9 8 28.4 13.7 6 7 3.9 38.6 4 10 24.9 2.5 4 10 26.7 25.8 5 6 22.7 11.9 2 6 0.2 35.6 10 7 1.6 18.5 5 3 41.4 7.6 3 7 7.3 34.9

Output
1 2 3 19.0 11.0 1 5 10 43.9 2.2 1 10 16.5 4.3