Adding elements to a dynamic array like ArrayList has an amortized cost of O(1) because although individual resize operations cost O(n), the total work across n insertions is 2n-1, making the average cost per insertion O(1); amortized cost measures the average cost over a sequence of operations rather than the worst-case cost of any single operation.
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Amortized Cost — Why ArrayList.add() is O(1) #computer-science #O(1) #big-o #arraylistAjouté :
Adding to a dynamic array takes O1 until the array fills up. Then it doubles and copies every element. That single operation costs O and N. So, is add O1 or ON? The resize at size N follows resizes at 1, 2, 4, 8, and so on. Total work across all N insertions, 2N - 1.
Divide by N, average cost per insertion, O1. Amortized cost measures what you pay on average, not what you pay once.
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