Introduction to Programming using Python 1st Edition

Published by Pearson
ISBN 10: 0132747189
ISBN 13: 978-0-13274-718-9

Chapter 15 - Recursion - Section 15.5 - Recursive Helper Functions - Check Point - MyProgrammingLab - Page 510: 15.14

Answer

sort([2, 3, 5, 1]) sort([3, 5, 2, 1]) sort([5, 3, 2, 1]) sort([1, 3, 2, 5]) sort([3, 2, 5]) sort([2, 5]) sort([5, 2]) [2, 5, 3] sort([1, 3, 5]) sort([3, 5]) sort([5, 3]) [1, 3, 5] sort([9, 0, 5, 3, 1, 2]) sort([0, 9, 5, 3, 1, 2]) sort([1, 9, 5, 3, 0, 2]) sort([2, 9, 5, 3, 0, 1]) sort([0, 9, 5, 3, 2, 1]) sort([1, 9, 5, 3, 2, 0]) sort([2, 9, 5, 3, 1, 0]) sort([3, 9, 5, 2, 1, 0]) sort([0, 9, 5, 2, 1, 3]) sort([1, 9, 5, 2, 0, 3]) sort([2, 9, 5, 1, 0, 3]) sort([3, 9, 2, 1, 0, 5]) sort([0, 9, 2, 1, 3, 5]) sort([1, 9, 2, 0, 3, 5]) sort([2, 1, 0, 3, 5, 9]) [0, 1, 2, 3, 5, 9]

Work Step by Step

The call stack shows the order in which the recursive function is called and executed. In this case, each call to the sort function sorts a smaller part of the list until the entire list is sorted. The base case is when the low index is equal to the high index, indicating that there is only one element in the list. The recursive calls are made by dividing the list into smaller sub-lists and calling the sort function on each sub-list until the entire list is sorted. The call stack for this specific example shows the sequence of recursive calls made to sort the list [2, 3, 5, 1] and the resulting sorted list [0, 1, 2, 3, 5, 9].
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