If anbspd-heap is stored as an array for an entry located, Basic Computer Science

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If anbspd-heap is stored as an array for an entry located

1. 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?

2. If a d-heap is stored as an array, for an entry located in position i, where are the parents and children?

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Basic Computer Science: If anbspd-heap is stored as an array for an entry located

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