46. How manycomparisons are required to merge these pairsof lists using Algorithm 10?a) 1, 3, 5, 7, 9; 2, 4, 6, 8, 10b) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10c) 1, 5, 6, 7, 8, 2, 3, 4, 9, 10

Answered: How many comparisons of lists using…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

46. How many
comparisons are required to merge these pairs
of lists using Algorithm 10?
a) 1, 3, 5, 7, 9; 2, 4, 6, 8, 10
b) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
c) 1, 5, 6, 7, 8, 2, 3, 4, 9, 10

Expert Solution

Step 1: For Question (a)

Algorithm 10 is a bit vague without a specific description, but typically, when merging two sorted lists using a standard merge algorithm (like merge sort), we would compare elements from both lists to determine their order. Each comparison results in one operation.

Let's analyze each pair of lists:

a) 1, 3, 5, 7, 9; 2, 4, 6, 8, 10

In this case, we have to compare each element from the first list with each element from the second list. So, for each element in the first list, we make 5 comparisons. There are 5 elements in the first list, so the total number of comparisons is $5 * 5 = 25$ comparisons.