Design an algorithm to find all pairs of integers within an array which sum to a specified value (assume for simplicity that the array has distinct elements). For example, for the array A[2 5 3 6 4] and sum = 8, it prints (2,6) and (3,5). Provide a brute-force solution. What is the worst-case running time of this solution and why using only informal justification. Then try to find a better solution, and show how its worst-case running time is better.

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
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Design an algorithm to find all pairs of integers within an array which sum to a specified value (assume for simplicity that the array has distinct elements). For example, for the array A[2 5 3 6 4] and sum = 8, it prints (2,6) and (3,5). Provide a brute-force solution. What is the worst-case running time of this solution and why using only informal justification. Then try to find a better solution, and show how its worst-case running time is better. 

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