find a solution for the cost of the Max Array problem         - Explains context and setting of problem, and why you would want to look at the recursive solution. Shows O(nlogn) cost of sorting to find solution and O(n-1) cost to do pairwise comparison         - Gives Illustrative example to explain strategy or gives psuedocode ( do not write in Python)         - Cost is O(n) and correctly evaluated         - Assumes size of data is 2^k for math simplicity         - Shows how there is 1 piece of size 2^k at top level, 2 pieces of size 2^(k-1), 4 pieces of size 2^(k-2), ..., 2^i pieces of size 2^(k-i), 2^k pieces of size 2^(k-k) OR n pieces of size 1         - Sum from 0 to k-1 of 2^i = (2^k -1)/(2-1) = 2^k - 1 (uses A.5 from Cormen)         - Since n=2^k so 2^k - 1 is n-1 ==> Theta(n) or O(n)

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Randomized Select Algorithm

A randomized algorithm is defined as one that uses a certain amount of randomization in its logic or operation. It is said to be an algorithm that depends on the random number to perform its operation. It is used for reducing the overall time complexity, space complexity in the standard algorithm. The randomized algorithm uses the concept of random numbers to find the solutions to the different kinds of problems and also to improve the problem solutions.