Click on the left applet to find a max flow and min cut. (Not on the applet below.)

The pair of numbers associated with an arc indicates flow/capacity.

The left is a residue network associated with the flow above.

Blue nodes are reachable from s. Blue lines indicate a shortest path from s to each reachable node when each edge has a unit length. Min-cost flow will be obtained if the length of each edge is set to be a cost.