Defining the basic operation as the comparison of list

Chapter 3, Problem 16

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QUESTION:

Defining the basic operation as the comparison of list elements and ignoring the amount of work required to exchange list elements, write a recurrence relation for the amount of work done by selection sort on an n-element list. (Hint: Use the result from Exercise 15.)

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QUESTION:

Defining the basic operation as the comparison of list elements and ignoring the amount of work required to exchange list elements, write a recurrence relation for the amount of work done by selection sort on an n-element list. (Hint: Use the result from Exercise 15.)

ANSWER:

Step 1 of 2

If there is only 1 element in the list, no comparisons need to be made

If there is n elements in the list , n-1 comparisons have to be made to find the maximum element .

If is the number of comparisons needed to sort the n-element list , then the number of those comparisons equals the number of comparisons needed to sort the  elements list (which is ) plus

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