Question: You are asked a question during the Google software engineer interview: an array A contains n integers in the range of 1 to n, can

 You are asked a question during the Google software engineer interview:

You are asked a question during the Google software engineer interview: an array A contains n integers in the range of 1 to n, can you suggest the most efficient sorting algorithm? (Of course, you do not just give a single answer, instead, you should use Big O approach to give a very detailed explanation of comparing comparison-based sorting algorithm, Counting sort, and Radix sort, etc., right?)

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