Inserting an element into a highly unbalanced binary search tree containing N nodes will take time _______.
Question
Inserting an element into a highly unbalanced binary search tree containing N nodes will take time _______.
Solution
In the worst-case scenario, inserting an element into a highly unbalanced binary search tree containing N nodes will take time proportional to N. This is because in a highly unbalanced tree, the time complexity of insert operation is O(N), where N is the number of nodes in the tree. This is due to the fact that the tree degenerates into a linked list, and hence, we might have to traverse all the nodes to find the correct place for insertion.
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