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Solution: Convert Sorted Array to Binary Search Tree

Understand how to build a height-balanced binary search tree from a sorted array by selecting middle elements recursively. Explore recursive calls to create balanced left and right subtrees, ensuring minimal height difference. The lesson covers an efficient O(n) time and O(log n) space recursive algorithm ideal for coding interviews involving tree construction.

Statement

Given an array of integers, nums, sorted in ascending order, your task is to construct a height-balanced binary search tree (BST) from this array.

In a height-balanced BST, the difference of heights of the left subtree and right subtree of any node is not more than 1.

Note: There can be multiple valid BSTs for a given input.

Constraints:

  • 11 \leq nums.length 103\leq 10^3
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