Problem: Convert Sorted Array to Binary Search Tree

Medium

30 min

Explore how to transform a sorted array into a height-balanced binary search tree (BST) by understanding tree depth-first search. Learn to balance subtrees to ensure minimal height differences, and practice coding solutions that maintain BST properties. This lesson helps you implement efficient tree construction methods applicable in coding interviews.

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:

$1 \leq$ nums.length $\leq 10^3$
$-10^4 \leq$ nums[i] $\leq 10^4$
nums is sorted in strictly ascending order.

Problem: Convert Sorted Array to Binary Search Tree

Medium

30 min

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:

$1 \leq$ nums.length $\leq 10^3$
$-10^4 \leq$ nums[i] $\leq 10^4$
nums is sorted in strictly ascending order.

Problem: Convert Sorted Array to Binary Search Tree

Statement

Examples

Understand the problem

Figure it out!

Try it yourself

Problem: Convert Sorted Array to Binary Search Tree

Statement

Examples

Understand the problem

Figure it out!

Try it yourself