6-2 Analysis of d-ary heaps A d-ary heap is like a binary heap, but (with one possible exception) non-leaf nodes have d children instead of 2 children. a. How would you represent a d-ary heap in an array? b. What is the height of a d-ary heap of n elements in terms of n and d? c. Give an efficient implementation of EXTRACT-MAX in a d-ary max-heap. Analyze its running time in terms of d and n. d. Give an efficient implementation of INSERT in a d-ary max-heap. Analyze its running time in terms of d and n. e. Give an efficient implementation of INCREASE-KEY.A; i; k/, which flags an error if k < AOEi, but otherwise sets AOEi D k and then updates the d-ary maxheap structure appropriately. Analyze its running time in terms of d and n.