Assume you are given a pointer to the root node of a complet.pdf

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The document describes a complete binary tree with n=2h nodes where each node stores a real valued key. It asks to describe an algorithm that finds a local minimum node, which is defined as a node whose key value is less than all nodes connected to it, while only querying O(logn) nodes.

Assume you are given a pointer to the root node of a complete binary tree T with n=2h nodes.
Each node stores a real valued key xi, that you may assume 3 are distinct. A node j of T is a local
minimum if all nodes that are connected to it have key values larger than xj. Describe (or
(pseudo)code) an algorithm that finds a local minimum querying only O(logn) nodes.

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