Examples: Input Output: Ex 1: 55 55665 12543 27 Ex 2: 53 12345 10 9 10 10 9 39 Ex 3: 40 2243 2423 11 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 a₁=1 with b₁=10, a3=3 with b3-10 and a2-2 with b4=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.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
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 (Le.
at most) k moves (swaps).
Input
• The first line of the test case contains two integers n and k (1<n<30;0<k<n) -
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 a₁a2.... an
The third line of the test case contains n integers b₁,b2,...,bn
Output
Print the answer the maximum possible sum you can obtain in the array a if you can
do no more than (Le.. at most) k swaps.
Examples:
Input
Output:
-
Ex 1:
55
55665
12543
27
Ex 2:
53
12345
10 9 10 10 9
39
Ex 3:
40
2243
2423
11
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 a₁=1 with
b₁-10, a3-3 with b3-10 and a2-2 with b4-10,
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.
- Design a brute-force algorithm to solve this problem using a (Pseudocode) and find its
complexity.
Can you design a more efficient solution? If yes, demonstrate it using Pseudocode
and analyze its complexity.
= Implement your efficient solution using Python create a use case to
demonstrate your solution
Transcribed Image Text: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 (Le. at most) k moves (swaps). Input • The first line of the test case contains two integers n and k (1<n<30;0<k<n) - 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 a₁a2.... an The third line of the test case contains n integers b₁,b2,...,bn Output Print the answer the maximum possible sum you can obtain in the array a if you can do no more than (Le.. at most) k swaps. Examples: Input Output: - Ex 1: 55 55665 12543 27 Ex 2: 53 12345 10 9 10 10 9 39 Ex 3: 40 2243 2423 11 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 a₁=1 with b₁-10, a3-3 with b3-10 and a2-2 with b4-10, 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. - Design a brute-force algorithm to solve this problem using a (Pseudocode) and find its complexity. Can you design a more efficient solution? If yes, demonstrate it using Pseudocode and analyze its complexity. = Implement your efficient solution using Python create a use case to demonstrate your solution
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