You may assume that $n$ is a power of two. We have n input keys that...
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You may assume that $n$ is a power of two. We have n input keys that form a reverse sorted sequence for example <n, n-1, ..., 3, 2,1 >. We run MergeSort on that input. Find a tight upper bound that describes the number of comparisons performed by MergeSort on that input. If the upper bound is of the form (A/B) n Ign + Cn +D where, A = B= D= Provide the integer values A,B,C,D in the space available. 2.0 is not an integer. A/B indicates a fraction of two integers of the smallest possible size (eg 10/30, 3/9, 1.0/3.0 will never be answers but 1/3 will be). You may assume that $n$ is a power of two. We have n input keys that form a reverse sorted sequence for example <n, n-1, ..., 3, 2,1 >. We run MergeSort on that input. Find a tight upper bound that describes the number of comparisons performed by MergeSort on that input. If the upper bound is of the form (A/B) n Ign + Cn +D where, A = B= D= Provide the integer values A,B,C,D in the space available. 2.0 is not an integer. A/B indicates a fraction of two integers of the smallest possible size (eg 10/30, 3/9, 1.0/3.0 will never be answers but 1/3 will be).
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Answer rating: 100% (QA)
Answer When MergeSort is applied to a reverse sorted sequence of size n it performs a total of nlog2 n comparisons Lets break down the components of t... View the full answer
Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
Posted Date:
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