Given a graph G = (V, E), where every edge e has a nonnegative weight w(e), and a source vertex s in V, find the shortest path from s to every other vertex
Implementation of Edmonds Karp algorithm that calculates maxFlow of graph.
Input:
For each test case, the first line contains the number of vertices (n) and the number of arcs (m). Then, there exist m lines, one for each arc (source vertex, ending vertex and arc weight, separated by a space). The nodes are numbered from 1 to n. The node 1 and node n should be in different sets. There are no more than 30 arcs and 15 nodes. The arc weights vary between 1 and 1 000 000.
Output:
The output is a single line for each case, with the corresponding minimum size cut.
Example:
Input:
7 11
1 2 3
1 4 3
2 3 4
3 1 3
3 4 1
3 5 2
4 6 6
4 5 2
5 2 1
5 7 1
6 7 9
Output:
5
