[LC] 108. 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
- /**
- * Definition for a binary tree node.
- * public class TreeNode {
- * int val;
- * TreeNode left;
- * TreeNode right;
- * TreeNode(int x) { val = x; }
- * }
- */
- class Solution {
- public TreeNode sortedArrayToBST(int[] nums) {
- if (nums == null || nums.length == 0) {
- return null;
- }
- return buildBST(0, nums.length - 1, nums);
- }
- private TreeNode buildBST(int start, int end, int[] nums) {
- if (start > end) {
- return null;
- }
- int mid = start + (end - start) / 2;
- TreeNode cur = new TreeNode(nums[mid]);
- cur.left = buildBST(start, mid - 1, nums);
- cur.right = buildBST(mid + 1, end, nums);
- return cur;
- }
- }
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