Leetcode: 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
Solution:
/**
* 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) {
return sortedArrayToBST(nums, 0, nums.length - 1);
}
private TreeNode sortedArrayToBST(int[] nums, int first, int last) {
if(first > last)
return null;
int mid = (first+last)/2;
TreeNode node = new TreeNode(nums[mid]);
node.left = sortedArrayToBST(nums, first, mid - 1);
node.right = sortedArrayToBST(nums, mid + 1, last);
return node;
}
}
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