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The function max() which returns the maximum element from a list . . . what is its running time (in Python 3) in terms of Big O notation?

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It's O(n), since it must check every element. If you want better performance for max, you can use the heapq module. However, you have to negate each value, since heapq provides a min heap. Inserting an element into a heap is O(log n).


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