Question: 5-10. Design a sorting algorithm whose time complexity is as follows: (a) when the input happens to be already non-decreasing, the algorithm takes only O(n)

5-10. Design a sorting algorithm whose time complexity is as follows:

5-10. Design a sorting algorithm whose time complexity is as follows: (a) when the input happens to be already non-decreasing, the algorithm takes only O(n) time; (b) likewise, when the input happens to be already non-increasing (i.e. reverse-sorted), the algorithm takes only O(n) time; (c) but in any other situation, the algorithm may take O(n?) time. Justify that your algorithm meets these efficiency goals

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