Given the following list of numbers: [21, 1, 26, 45, 29, 28, 2, 9, 16, 49, 39, 27, 43, 34, 46, 40] which answer illustrates the list to be sorted after 3 recursive calls to mergesort? Select one: a. [21,1] b. [16, 49, 39, 27, 43, 34, 46, 40] c. [21] d. [21, 1, 26, 45]
Question
Given the following list of numbers:
[21, 1, 26, 45, 29, 28, 2, 9, 16, 49, 39, 27, 43, 34, 46, 40]
which answer illustrates the list to be sorted after 3 recursive calls to mergesort?
Select one:
a. [21,1]
b. [16, 49, 39, 27, 43, 34, 46, 40]
c. [21]
d. [21, 1, 26, 45]
Solution
The answer is:
b. [16, 49, 39, 27, 43, 34, 46, 40]
Here's why:
Mergesort is a divide and conquer algorithm that splits a list into two halves, sorts them, and then merges them. The algorithm continues to split the list into halves until it has singleton lists, and then merges those lists back together in sorted order.
Given the list:
[21, 1, 26, 45, 29, 28, 2, 9, 16, 49, 39, 27, 43, 34, 46, 40]
After the first recursive call to mergesort, the list is divided into two halves:
[21, 1, 26, 45, 29, 28, 2, 9] and [16, 49, 39, 27, 43, 34, 46, 40]
After the second recursive call, the first half of the list is again divided into two halves:
[21, 1, 26, 45] and [29, 28, 2, 9]
After the third recursive call, the first half of the first half of the list is again divided into two halves:
[21, 1] and [26, 45]
So, after three recursive calls to mergesort, the original list has not yet been sorted. The list [16, 49, 39, 27, 43, 34, 46, 40] is the second half of the original list, which has not been touched yet by the mergesort algorithm. Therefore, option b is the correct answer.
Similar Questions
If one uses a straight two-way merge sort algorithm to sort the following elements in ascending order: 20, 47, 15, 8, 9, 4, 40, 30,12, 17Then the order of these elements after the second pass of the algorithm is ________.
Given the following list of numbers: [21, 1, 26, 45, 29, 28, 2, 9, 16, 49, 39, 27, 43, 34, 46, 40] which answer illustrates the first two lists to be merged? Select one: a. [9] and [16] b. [21, 1] and [26, 45] c. [1, 2, 9, 21, 26, 28, 29, 45] and [16, 27, 34, 39, 40, 43, 46, 49] d. [21] and [1]
Select the correct answerWhat is the base case in the Merge Sort algorithm when it is solved recursively?Optionsn=0An empty listA list of length onen=1
Alex is a young computer science enthusiast who loves solving coding problems. One day, Alex stumbled upon a unique challenge related to sorting numbers. The challenge involves sorting a list of integers with a unique twist: Alex aims to place the even numbers in their original input order first, followed by the odd numbers in the same input order.Your task is to help Alex implement a logic of merge sort and a recursive function to arrange the even and odd numbers separately.Input format :The first line contains an integer n, the number of integers in the list.The second line contains n space-separated integers, a[i], representing the elements of the list.Output format :The output displays a single line containing n space-separated integers, representing the sorted list, with even numbers appearing first in the given input order, followed by odd numbers in the given input order.Refer to the sample outputs for the exact format.Code constraints :1 ≤ n ≤ 30-100 <= a[i] <= 100Sample test cases :Input 1 :41 2 3 4Output 1 :2 4 1 3 Input 2 :51 5 3 -4 0Output 2 :-4 0 1 5 3
Define a function sort_list(list1). The function returns three lists: the original list, the list in ascending order, and the list in descending order. Remember: your function should return three lists.Examplelist1 = [10, 1, 9, 2, 8, 3, 7, 4, 6, 5]Expected output:[10, 1, 9, 2, 8, 3, 7, 4, 6, 5][1, 2, 3, 4, 5, 6, 7, 8, 9, 10][10, 9, 8, 7, 6, 5, 4, 3, 2, 1]
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.