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Learn Data Structures and Algorithms in Go

Problem: Convert Sorted Array to Binary Search Tree

Explore how to convert a sorted integer array into a height-balanced binary search tree by selecting the middle element as root and recursively constructing left and right subtrees. Understand the divide and conquer approach and analyze time and space complexity for efficient implementation.

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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] ...