Illustrate the operation of MAX-HEAP-INSERT (A, 10) on the heap A = 15, 13, 9, 5, 12, 8, 7, 4, 0, 6, 2, 1. Use the heap of Figure 6.5 as a model for the HEAP-INCREASE-KEY call.
Answer to relevant QuestionsShow that the running time of QUICKSORT is Θ (n2) when the array A contains distinct elements and is sorted in decreasing order.Describe an algorithm that, given n integers in the range 0 to k, preprocesses its input and then answers any query about how many of the n integers fall into a range [a ¬ b] in O (1) time. Your algorithm should use Θ ...In the algorithm SELECT, the input elements are divided into groups of 5. Will the algorithm work in linear time if they are divided into groups of 7? Argue that SELECT does not run in linear time if groups of 3 are used. Consider a version of the division method in which h (k) = k mod m, where m = 2p – 1 and k is a character string interpreted in radix 2p. Show that if string x can be derived from string y by permuting its characters, then ...Show that any arbitrary n-node binary search tree can be transformed into any other arbitrary n-node binary search tree using O (n) rotations. (Hint: First show that at most n - 1 right rotation suffices to transform the ...
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