Problem

Each deleteMin operation uses 2 log N comparisons in the worst case.*a. Propose a scheme s...

Each deleteMin operation uses 2 log N comparisons in the worst case.

*a. Propose a scheme so that the deleteMin operation uses only log N + log log N + O(1) comparisons between elements. This need not imply less data movement.


**b. Extend your scheme in part (a) so that only log N + log log log N + O(1) comparisons are performed.


**c. How far can you take this idea?


d. Do the savings in comparisons compensate for the increased complexity of your algorithm?

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