Consider the merge step of the merge sort. a. What is the minimum number of comparisons needed to…

Consider the merge step of the merge sort.

a. What is the minimum number of comparisons needed to merge two subarrays each of size n/2?

b. Give a recurrence relation that counts the number of comparisons made in the best case.

c. Make an educated guess at the solution to the recurrence relation.

 

Consider a collection of Comparable objects that is represented by a chain of linked nodes. Suppose that you want to provide a sort operation for this collection.

a. Implement a private method that merges two sorted chains into one new sorted chain.

b. The method described in Part a could be part of a merge sort of a sorted chain. Describe how you could implement such a sort.

 

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