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A min-max heap is a data structure that supports both deleteMin and deleteMax in O(logN) per operation. The structure is identical to a binary heap, but the heaporder property is that for any node, X, at even depth, the element stored at X is smaller 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 parent but smaller than the grandparent. 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 a data structure to support all operations in O(logn) time. Activate Windows