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Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 3.1 - Problem 50e
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 3.1 - Problem 50e

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# The binary insertion sort is a variation of the insertion

ISBN: 9780073383095 37

## Solution for problem 50E Chapter 3.1

Discrete Mathematics and Its Applications | 7th Edition

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Problem 50E

The binary insertion sort is a variation of the insertion sort that uses a binary search technique (sec Exercise 44) rather than a linear search technique to insert the ith element in the correct place among the previously sorted elements.a) Devise a variation of the insertion sort that uses a linear search technique that inserts the jth element in the correct place by first comparing it with the (j ? 1)st element, then the (j ? 2)th element if necessary, and so on.b) Use your algorithm to sort 3, 2, 4, 5, 1, 6.c) Answer Exercise 45 using this algorithm.d) Answer Exercise 46 using this algorithm.The selection sort begins by finding the least element in the list. This element is moved to the front. Then the least element among the remaining elements is found and put into the second position. This procedure is repeated until the entire list has been sorted.Exercise 45: How many comparisons does the insertion sort use to sort the list 1, 2, …, n?Exercise 46: How many comparisons does the insertion sort use to sort the list n, n – 1, … 2, 1?

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