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By what factor time complexity is reduced when we apply square root decomposition to a code?

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in Data Structures & Algorithms II by (80.7k points)
By what factor time complexity is reduced when we apply square root decomposition to a code?

(a) n

(b) √n

(c) n^2

(d) n^-1/2

This question was addressed to me during an online exam.

Origin of the question is Miscellaneous topic in chapter Miscellaneous of Data Structures & Algorithms II

1 Answer

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Best answer
Correct answer is (b) √n

The best explanation: In square root decomposition a given array is decomposed into small parts each of size √n. This reduces the time complexity of the code by a factor of √n.

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