Question: 1. Bucket Sort: Explain why Bucket Sort does not adhere to the ??(?? log ??) lower bound. Show the bucketed array for sorting [1, 5,

1. Bucket Sort:

Explain why Bucket Sort does not adhere to the ??(?? log ??) lower bound.

Show the bucketed array for sorting [1, 5, 3, 5, 8, 2, 9, 10, 12, 13, 12, 1, 2, 7, 9, 13, 3, 1],

with the upper bound of 15.

2. Why do we use B-trees if ??(log?? ??) = ??(??????) for all ??, ???

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