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What is the space complexity of pigeonhole sort (k=range of input)?

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What is the space complexity of pigeonhole sort (k=range of input)?

(a) O(n*k)

(b) O(n)

(c) O(k)

(d) O(n+k)

I had been asked this question in an internship interview.

My enquiry is from Sorting in division Sorting of Data Structures & Algorithms II

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Right choice is (d) O(n+k)

Best explanation: Pigeonhole sort algorithm requires two arrays. The first one is required to store the input elements so its size is n. The second one is the pigeonhole array and has a size equal to range k. Overall space complexity becomes O(n+k).

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