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:

  1. Given the sorted array: [-10,-3,0,5,9],
  2.  
  3. One possible answer is: [0,-3,9,-10,null,5], which represents the following height balanced BST:
  4.  
  5. 0
  6. / \
  7. -3 9
  8. / /
  9. -10 5
  1. /**
  2. * Definition for a binary tree node.
  3. * public class TreeNode {
  4. * int val;
  5. * TreeNode left;
  6. * TreeNode right;
  7. * TreeNode(int x) { val = x; }
  8. * }
  9. */
  10. class Solution {
  11. public TreeNode sortedArrayToBST(int[] nums) {
  12. if (nums == null || nums.length == 0) {
  13. return null;
  14. }
  15. return buildBST(0, nums.length - 1, nums);
  16. }
  17.  
  18. private TreeNode buildBST(int start, int end, int[] nums) {
  19. if (start > end) {
  20. return null;
  21. }
  22. int mid = start + (end - start) / 2;
  23. TreeNode cur = new TreeNode(nums[mid]);
  24. cur.left = buildBST(start, mid - 1, nums);
  25. cur.right = buildBST(mid + 1, end, nums);
  26. return cur;
  27. }
  28. }

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