Question1 (b)Consider the followingalgorithmwhere Small is an array of ninteger values:   AlgorithmQ1 //Input: An array Smallcontaining ninteger values b = ∞ for h = 1 to n-1       for k = h + 1 to n           if (Small[h] –Small[k]) < b                       b = Small[h] –Small[k]                           return b   i.Explain what does this algorithm compute. ii.Findthe asymptotic bound/complexity ofthis algorithm. iii.Producean improved algorithm to Question1 (b) above with a better asymptotic complexity/running time. iv.Findthe asymptotic bound/complexity of the improvedalgorithmin Question 1(b)iii. above.

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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.