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Home/ Questions/Q 766161
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Editorial Team
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Editorial Team
Asked: May 14, 20262026-05-14T17:00:03+00:00 2026-05-14T17:00:03+00:00

How would you characterize the below in big-O notation? rotors = [1,2,3,4,5 …] widgets

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How would you characterize the below in big-O notation?

rotors = [1,2,3,4,5 ...]
widgets = ['a', 'b', 'c', 'd', 'e' ...]

assert len(rotors) == len(widgets)

for r in rotors:
    for w in widgets:
        ...

    del widgets[0]
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  1. Editorial Team
    Editorial Team
    2026-05-14T17:00:04+00:00Added an answer on May 14, 2026 at 5:00 pm

    It’s O(n^2). You can see that the number of inner loop executions is:

    n + (n - 1) + (n - 2) + ... + 1
    

    because one widget is deleted every outer loop iteration. That is (n^2+n)/2, which is O(n^2).

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