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GATE CSE 2021 Set 1 Q20: Time to pick a BST element smaller than the maximum

Question

A binary search tree TT contains nn distinct elements. What is the time complexity of picking an element in TT that is smaller than the maximum element in TT?

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Answer: D (official GATE 2021 final answer key)

Concept used: Any element that is not the maximum will do; there is no need to find the maximum itself.

First step: Look at the root and one of its children: of two elements, the smaller one is certainly not the maximum.

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Source: official GATE 2021 Set 1 CS question paper and final answer key, organised by IIT Bombay. Question paper · Answer key