108. Convert Sorted Array to Binary Search Tree

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

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.

Example 1: Input: nums = [-10,-3,0,5,9] Output: [0,-3,9,-10,null,5] Explanation: [0,-10,5,null,-3,null,9] is also accepted: Example 2: Input: nums = [1,3] Output: [3,1] Explanation: [1,null,3] and [3,1] are both height-balanced BSTs.

Constraints:

1 <= nums.length <= 104 	
-104 <= nums[i] <= 104 	
nums is sorted in a **strictly increasing** order.

  • code
class Solution {
    public TreeNode sortedArrayToBST(int[] nums) {
        if (nums.length == 0) return null;
        int mid = nums.length / 2;
        TreeNode root = new TreeNode(nums[mid]);
        root.left = sortedArrayToBST(Arrays.copyOf(nums, mid));
        root.right = sortedArrayToBST(Arrays.copyOfRange(nums, mid + 1, nums.length));
        return root;
    }
}
  • c mid = (len(nums)-1)//2 also works
class Solution:

    def sortedArrayToBST(self, nums: List[int]) -> TreeNode:
        if not nums:
            return None
        
        mid = len(nums)//2
        head = TreeNode(nums[mid])
        head.left = self.sortedArrayToBST(nums[:mid])
        head.right = self.sortedArrayToBST(nums[mid+1:])
        
        return head