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What is the average case time complexity for finding the height of the binary tree?Optionsh = O(log n)h = O(nlogn) h = O(loglogn)h = O(n)

Question

What is the average case time complexity for finding the height of the binary tree?Optionsh = O(log n)h = O(nlogn) h = O(loglogn)h = O(n)

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Solution

The average case time complexity for finding the height of a binary tree is h = O(n). This is because in the worst case, you may have to traverse all nodes of the tree. This happens when the tree is skewed, i.e., it is more like a linked list rather than a balanced binary tree. In a balanced binary tree, the height could be determined in O(log n) time, but since we are talking about the average case (which includes considering unbalanced trees), the time complexity is O(n).

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