Question: Consider a quad max-heap. A quad max-heap is like a binary max-heap, but nstead of 2 children, nodes have 4 children. (a) How would you

Consider a quad max-heap. A quad max-heap is like a binary

Consider a quad max-heap. A quad max-heap is like a binary max-heap, but nstead of 2 children, nodes have 4 children. (a) How would you represent a quad max-heap in a array? (b) What is the height of a quad max-heap of n elements in terms of n and 4? (c) Give an efficient implementation of HEAP-EXTRACT-MAX. Analyze its running time in terms of 4 and n of 4 and n time in terms of 4 and n (d) Give an efficient implementation of MAX-HEAP-INSERT. Analyze its running time in terms (e) Give an efficient implementation of HEAP-INCREASE-KEY (A,i, k). Analyze its running

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