SDE - Intern

You are given a connected, undirected and acyclic graph with some of the nodes as marked and a positive number 'K'. You need to return the count of all such nodes which have a distance from all marked nodes less than 'K', which means every node whose distance from all marked nodes is less than 'K', should be counted in the result.

A graph is said to be connected if there is a path between every pair of vertex, i.e., from every vertex to any other vertex, there should be some path to traverse and acyclic means that the graph does not contain cycle and undirected means that the edge is bidirectional and one can move in both directions.

Example:

Marked Nodes are Circled with red colour.

Now consider this example of the graph. Here nodes 1,2, and 4 are marked, and let us take the value of K as 3, i.e., we have to find all the nodes at a distance less than 3 from all the marked nodes. We can see that nodes with index 5,9,8,2,0,7 have distances less than 3 from all marked nodes; therefore, the total count of nodes will be 6.

Given an array/list 'ARR' of ‘N’ distinct integers, you are supposed to find the third largest element in the given array 'ARR'.

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