can you solve this please ?      Given an array of unsorted integers, you are requested to investigate whether there exist a pair of numbers in this array that has a sum equal to a given key or not. For example, if the arr = [8, 7, 2, 5, 3] and the key = 12, the answer will be "Yes" as the array has a pair (7 and 5) where their sum = 12 = key, otherwise "No" is returned. To solve this problem, the following idea can be used:       i. Consider every pair in the given array and check if their sum = key.      ii. Sort the array first, keeping two pointers to on the minimum and maximum of the array and then move from both directions toward the          center of the array while checking whether the sum = key or not.   Answer the following questions: a) Transform each of the above ideas (i) & (ii) into algorithm (pseudocode) and compute their complexities  b) Critic these two ideas: [Which is better? Why?] c) Design a better solution with less complexity. [note: your idea should be explained in simple English, transformed into algorithm (pseudocode) d) Implement your solution in Q(C) using python

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
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Given an array of unsorted integers, you are requested to investigate whether there exist a pair of numbers in this array that has a sum equal to a given key or not. For example, if the arr = [8, 7, 2, 5, 3] and the key = 12, the answer will be "Yes" as the array has a pair (7 and 5) where their sum = 12 = key, otherwise "No" is returned. To solve this problem, the following idea can be used:

      i. Consider every pair in the given array and check if their sum = key.

     ii. Sort the array first, keeping two pointers to on the minimum and maximum of the array and then move from both directions toward the          center of the array while checking whether the sum = key or not. 


 Answer the following questions:

a) Transform each of the above ideas (i) & (ii) into algorithm (pseudocode) and compute their complexities 

b) Critic these two ideas: [Which is better? Why?]

c) Design a better solution with less complexity. [note: your idea should be explained in simple English, transformed into algorithm (pseudocode)

d) Implement your solution in Q(C) using python 

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