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What is the worst space complexity of bucket sort (k = number of buckets)?

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What is the worst space complexity of bucket sort (k = number of buckets)?

(a) O(n + k)

(b) O(n.k)

(c) O(n^2)

(d) O(n log n)

This question was addressed to me in an interview for internship.

Query is from Sorting in section Sorting of Data Structures & Algorithms II

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The correct answer is (b) O(n.k)

The best I can explain: Worst case space complexity of bucket sort is O(n.k). So it is not an in place sorting algorithm.

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