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Home/ Questions/Q 8090517
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Editorial Team
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Editorial Team
Asked: June 5, 20262026-06-05T19:44:59+00:00 2026-06-05T19:44:59+00:00

Given a binary search tree (BST). Find the maximum depth of the binary search

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Given a binary search tree (BST). Find the maximum depth of the binary search tree iteratively.

I know the method using queue [level order traversal] but time complexity is O(N) as we need to visit the whole tree.
But it doesn’t use the information whether the tree is a BST or binary tree.

Does the algorithm remain the same for the BST or it can be improved using the fact that the given tree is BST?

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  1. Editorial Team
    Editorial Team
    2026-06-05T19:45:00+00:00Added an answer on June 5, 2026 at 7:45 pm

    I don’t think the fact that a tree is a BST or not changes anything to it, you still have to in the worst case visit all nodes, which makes it O(N). I guess in the best case you’d only have to do O(log(N)), but that’s the best possible case, where you just go down the depth of the tree, and visit no other nodes.

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