8 A min-max heap is a data structure that supports both deleteMin and deleteMax

Chapter 6, Problem 6.18

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8 A min-max heap is a data structure that supports both deleteMin and deleteMax inO(logN) per operation. The structure is identical to a binary heap, but the heaporderproperty is that for any node, X, at even depth, the element stored at X issmaller than the parent but larger than the grandparent (where this makes sense),and for any node X at odd depth, the element stored at X is larger than the parentbut smaller than the grandparent. See Figure 6.57.a. How do we find the minimum and maximum elements?b. Give an algorithm to insert a new node into the min-max heap.c. Give an algorithm to perform deleteMin and deleteMax. d. Can you build a min-max heap in linear time?e. Suppose we would like to support deleteMin, deleteMax, and merge. Propose adata structure to support all operations in O(logN) time.

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