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> It checks a fixed sample of items (roughly 1%) regardless of size

> This provides O(1) performance

Wouldn’t 1% of N still imply O(N) performance?



N is increasing. O(1) means constant (actually capped). We never check more than 100 items.


Then it's not 1%, because if you have 100k items and you check at most 100 you have checked at most 0.1% of items.




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