ASSIGNMENT

The following algorithm examines all the components in a given array to check for the existence of any two numbers, where one of them is the square of the other, in the given array or not.

For example 1: input: A[9,5,28,25,47, 55]  output: true

For example 2: input: A[24,15,18,18,42, 22]  output: false

In example 1 the output is True because (5 and 25), where 25 is the square value of 5,

while the output of example 2 is False because there is no any pair of numbers that meets this condition.

• Input: An array A[0…n-1]
• Output: Return True if there exist any two numbers, where one of them is the square of the other in the array, False otherwise

1. a) Design a brute force algorithm to solve this problem and analyze its complexity.

1. b) Design a more efficient algorithm to do the same job analyze the complexity of your algorithm .
2. c) Develop a python code to implement your efficient algorithm.