a) Apply Bucket-Sort on the following input. Show your work in a similar way that wedid in the class. Assume we use 10 buckets.A = [0.88, 0.32, 0.15, 0.6, 0.55, 0.11, 0.52, 0.12, 0.83, 0.31, 0.19, 0.81]b) We saw in the class that Bucket Sort is useful when the input is uniformly distributed.Consider the following input which is NOT uniformly sorted: n/logn items are uni-formly distributed in [0, 0.8], log² n items are uniformly distributed in (0.8, 0.9] and theremaining n - n/logn - log² n items are uniformly distributed in (0.9, 1].Repeat the analysis from the class to describe the expected running time of Bucket-Sort with parameter k = n/20 for the above input. You may assume that we acomparison-based sorting algorithm with running time (n log n) to sort items withineach bucket.

Algorithm maintains “buckets” (linked lists). Basic idea:Step1: if you have n input elements, then…

Answered: a) Apply Bucket-Sort on the following…

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