1. Explain why the description of down-heap bubbling does not consider the case in which position p has a right child but not a left child.2. Is there a heap H storing seven entries with distinct...
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Let H be a heap storing 15 entries using the array-based representation of a complete binary tree. What is the sequence of indices of the array that are visited in a preorder traversal of H? What...
1. Show that the sum ppearing in the analysis of heap-sort, is Ω(nlogn).2. Bill claims that a preorder traversal of a heap will list its keys in nondecreasing order. Draw an example of a heap that...
1. Hillary claims that a postorder traversal of a heap will list its keys in nonincreasing order. Draw an example of a heap that proves her wrong.2. Illustrate all the steps of the adaptable...
Draw an example of a heap whose keys are all the odd numbers from 1 to 59 (with no repeats), such that the insertion of an entry with key 32 would cause up-heap bubbling to proceed all the way up to...
Give an alternative analysis of bottom-up heap construction by showing the following summation is O(1), for any positive integer h:
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