# 108. Convert Sorted Array to Binary Search Tree (Easy)

https://leetcode.com/problems/convert-sorted-array-to-binary-search-tree/

Given an array where elements are sorted in ascending order, convert it to a height balanced BST.

For this problem, a height-balanced binary tree is defined as a binary tree in which the depth of the two subtrees of every node never differ by more than 1.

Example:

```Given the sorted array: [-10,-3,0,5,9],

One possible answer is: [0,-3,9,-10,null,5], which represents the following height balanced BST:

0
/ \
-3   9
/   /
-10  5
```

## Solutions

``````class Solution {
public TreeNode sortedArrayToBST(int[] nums) {
if (nums == null || nums.length == 0) {
return null;
}

return add(nums, 0, nums.length - 1);
}

private TreeNode add(int[] nums, int start, int end) {
// check out if overstep the boundary
if (start > end || start < 0 || start >= nums.length || end < 0 || end >= nums.length) {
return null;
}

// if only 1 element left in the array
if (start == end) {
return new TreeNode(nums[start]);
}

// find the medium and create a new node as local root node
int middle = (start + end) / 2;
int medium = nums[middle];
TreeNode root = new TreeNode(medium);

// split the array into two sections and creates corresponding TreeNodes.
root.left = add(nums, start, middle - 1);
root.right = add(nums, middle + 1, end);

return root;
}
}
``````