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What will be the time complexity of the code to find a minimum element from an array of size n and uses square root decomposition(exclude pre processing time)?

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What will be the time complexity of the code to find a minimum element from an array of size n and uses square root decomposition(exclude pre processing time)?

(a) O(√n)

(b) O(n)

(c) O(1)

(d) O(n^2)

The question was posed to me during an interview for a job.

My question comes from Miscellaneous in division Miscellaneous of Data Structures & Algorithms II

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Correct option is (a) O(√n)

Best explanation: For finding the minimum element in a given array of size n using square root decomposition we first divide the array into √n chunks and calculate the result for them individually. So for a given query, the result of middle blocks has to be calculated along with the extreme elements. This takes O(√n) time in the worst case.

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