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K centers problem in binary tree


I went over the algorithm of K centers problem (Greedy Approximate Algorithm) 

and I want to know what would be the algorithm for marking K nodes in a binary tree.

More details:

If I am given K which represent the number of marked nodes. My algorithm should find these K nodes  such that the maximum distance from any node to its nearest marked ancestor is minimized.



asked Feb 18 by aurwu