Do Hash Maps use Amortized Time?
Yes. Inserting into a Hash Map is amortized O(1). Like dynamic arrays, Hash Maps occasionally must rehash and resize their internal buckets, which takes O(N) time.
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More FAQs in Amortized Time Complexity: What it Means and When to Use it
It is the average time taken per operation over a large sequence of operations, smoothing out the cost of rare, expensive worst-case events.
Because 99% of insertions take O(1) time, but occasionally the array runs out of space and must perform an O(N) resize. Amortized analysis proves the average cost remains O(1).
No. Pure O(1) guarantees every single operation is instant. Amortized O(1) means it is instant *most* of the time, but you will occasionally experience a slow operation.
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