Problem 2:19-1 about 2-3-4 heaps. 19-4 2-3-4 heaps Chapter 18 introduced the 2-3

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Problem 2:19-1 about 2-3-4 heaps.

19-4 2-3-4 heaps

Chapter 18 introduced the 2-3-4 tree, in which every internal node (other than possibly the root) has two, three, or four children and all leaves have the same depth. In this problem, we shall implement 2-3-4 heaps, which support the merge able-heap operations. The 2-3-4 heaps differ from 2-3-4 trees in the following ways. In 2-3-4 heaps, only leaves store keys, and each leaf x stores exactly one key in the attribute x: key. The keys in the leaves may appear in any order. Each internal node x contains a value x: small that is equal to the smallest key stored in any leaf in the subtree rooted at x. The root r contains an attribute r: height that gives the height of the tree. Finally, 2-3-4 heaps are designed to be kept in main memory, so that disk reads and writes are not needed.

Implement the following 2-3-4 heap operations. In parts (a)

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