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Problem: Convert Sorted Array to Binary Search Tree

Explore how to convert a sorted array into a height-balanced binary search tree by selecting the middle element as root and recursively building subtrees. Learn the divide and conquer approach and analyze the time and space complexity of this construction in Java.

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Statement

You are given an integer array nums whose elements are sorted in strictly increasing order. Your task is to construct a height-balanced binary search tree (BST) from this array and return its root.

A height-balanced binary tree is one in which the depth of the two subtrees of every node never differs by more than 11.

Note: Multiple valid height-balanced BSTs may exist for a given input. Any valid answer will be accepted.

Constraints:

  • 1≤1 \leq nums.length ≤104\leq 10^4

  • −104≤-10^4 \leq nums[i] ... ...