Given a List of Lists consisting the relationship between elements, find how many patterns of exist of the related elements. Example, Given elements 1,2,3,4,5 if 1 is related with 2 and 2 is related with 3 then 1-2-3 are related. Also if 1 is related to 2 and 1 is related to 3, then 1-2-3 are related. Find out how many relation patterns exist in the provided lists.

The shortest path in a matrix

Check whether a string in an interleave of 2 given strings