In this Leetcode Convert Sorted Array to Binary Search Tree problem solution we have Given an integer array nums where the elements are sorted in ascending order, convert it to a height-balanced binary search tree. A height-balanced binary tree is a binary tree in which the depth of the two subtrees of every node never differs by more than one.

Leetcode Convert Sorted Array to Binary Search Tree problem solution

Problem solution in Python.

class Solution:
    def sortedArrayToBST(self, nums: List[int]) -> TreeNode:
        n = len(nums)
        if n == 0: return None
        return self.arr2bst_helper(nums, 0, n-1, n)
    def arr2bst_helper(self, nums, lo, hi, n):
        if lo > hi: return None
        mid = (lo+hi)//2
        node = TreeNode(nums[mid])
        if lo == hi:
            return node
        node.left = self.arr2bst_helper(nums, lo, mid-1, n)
        node.right = self.arr2bst_helper(nums, mid+1, hi, n)
        return node

Problem solution in Java.

public TreeNode sortedArrayToBST(int[] nums) {
        TreeNode root=arrToTree(nums,0,nums.length-1);
        return root;
    public TreeNode arrToTree(int[] nums, int start, int end){
            return null;
            return new TreeNode(nums[start]);
        int mid= (end-start+1)/2 +start;
        TreeNode Mid= new TreeNode(nums[mid]);
        Mid.left= arrToTree(nums,start,mid-1);
        return Mid;

Problem solution in C++.

class Solution {
    TreeNode* sortedArrayToBST(vector<int>& nums) {
        if (nums.empty()) {
            return nullptr;
        auto p_root_node = new(TreeNode*);
        helper(p_root_node, nums, 0, nums.size()-1);
        return *p_root_node;

    void helper(TreeNode** node, vector<int>& nums, int left_bound, int right_bound) {
        if (left_bound > right_bound) {
        int mid = (left_bound+right_bound)/2;
        *node = new TreeNode(nums[mid]);
        helper(&(*node)->left, nums, left_bound, mid-1);
        helper(&(*node)->right, nums, mid+1, right_bound);

Problem solution in C.

void createTree(struct TreeNode *node, int *arr, int lindex, int rindex) {
    struct TreeNode *lnode, *rnode;
    int mid = (lindex + rindex) / 2 ;
    node->val = arr[mid];
    if (lindex < mid) {
        lnode = calloc(1, sizeof(struct TreeNode));
        node->left = lnode;
        createTree(lnode, arr, lindex, mid-1);
    if (rindex > mid) {
        rnode = calloc(1, sizeof(struct TreeNode));
        node->right = rnode;
        createTree(rnode, arr, mid+1, rindex);

struct TreeNode* sortedArrayToBST(int* nums, int numsSize){
    struct TreeNode *node = NULL;
    if (numsSize > 0) {
        node = calloc(1, sizeof(struct TreeNode));
        createTree(node, nums, 0, numsSize-1);
    return node;