Question 2: Given two arrays a and b, where both arrays consisting of n positive integers. It is allowed to swap any element from array a with any element from b. Your task is to find the maximum possible sum you can obtain in the array a if you can do no more than (i.e. at most) k moves (swaps). Input • The first line of the test case contains two integers n and k (1sns30,0sksn) – where n is the number of elements in a and b, while k is the maximum number of moves you can do. The second line of the test case contains n integers a1.az. a. • The third line of the test case contains n integers br.b2.bn Output Print the answer- the maximum possible sum you can obtain in the array a if you can do no more than (i.e. at most)k swaps. Examples: Ex 1: 55 55665 12543 Ex 2: 53 12345 10910 10 9 39 Ex 3: 40 2243 2423 11 Input Output: 27 • In the first test case of the example, you don't need to swap anything. • In the second test case of the example, you can swap ar=1 with b;=10, as=3 with by=10 and a;=2 with b=10, so a=[10,10,10.4,5] and b=[1,9.3.2.9]. In the third test case of the example, you cannot swap anything. a) Design a brute-force algorithm to solve this problem using a (Pseudocode) and find its complexity. (5 +3 marks) b) Can you design a more efficient solution? If yes, demonstrate it using Pseudocode and analyze its complexity. (5+3 marks) c) Implement your efficient solution using Python (4 marks) create a use case to demonstrate your solution (4 marks) d) Provide a brief report (250 words) that explain the difference between the two solution (6 marks)
Question 2: Given two arrays a and b, where both arrays consisting of n positive integers. It is allowed to swap any element from array a with any element from b. Your task is to find the maximum possible sum you can obtain in the array a if you can do no more than (i.e. at most) k moves (swaps). Input • The first line of the test case contains two integers n and k (1sns30,0sksn) – where n is the number of elements in a and b, while k is the maximum number of moves you can do. The second line of the test case contains n integers a1.az. a. • The third line of the test case contains n integers br.b2.bn Output Print the answer- the maximum possible sum you can obtain in the array a if you can do no more than (i.e. at most)k swaps. Examples: Ex 1: 55 55665 12543 Ex 2: 53 12345 10910 10 9 39 Ex 3: 40 2243 2423 11 Input Output: 27 • In the first test case of the example, you don't need to swap anything. • In the second test case of the example, you can swap ar=1 with b;=10, as=3 with by=10 and a;=2 with b=10, so a=[10,10,10.4,5] and b=[1,9.3.2.9]. In the third test case of the example, you cannot swap anything. a) Design a brute-force algorithm to solve this problem using a (Pseudocode) and find its complexity. (5 +3 marks) b) Can you design a more efficient solution? If yes, demonstrate it using Pseudocode and analyze its complexity. (5+3 marks) c) Implement your efficient solution using Python (4 marks) create a use case to demonstrate your solution (4 marks) d) Provide a brief report (250 words) that explain the difference between the two solution (6 marks)
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
Problem 24PE
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