As the title asks, I wonder if the size() method in the LinkedList class takes amortized O(1) time or O(n) time.
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It’s O(1). You can google for the source code and you will come to such:
From http://www.docjar.com/html/api/java/util/LinkedList.java.html
All of the Collection classes I have looked at store a the size as a variable and don’t iterate through everything to get it.