108. 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.

以中序遍历的顺序创建节点（代码实现时先序遍历），每次选择范围的中间值mid为根节点。
根节点的左子节点递归左侧left直到mid-1的位置。
根节点的右子节点递归mid+1直到右侧right的位置。
当left > right时，返回null作为二叉树的叶子节点。

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode() {}
 *     TreeNode(int val) { this.val = val; }
 *     TreeNode(int val, TreeNode left, TreeNode right) {
 *         this.val = val;
 *         this.left = left;
 *         this.right = right;
 *     }
 * }
 */
class Solution {
    public TreeNode sortedArrayToBST(int[] nums) {
        return build(nums, 0, nums.length-1);
    }
    
    private TreeNode build(int[] nums, int left, int right){
        if(left > right) return null;
        
        int mid = left + (right - left) / 2;
        TreeNode root = new TreeNode(nums[mid]);
        root.left = build(nums, left, mid-1);
        root.right = build(nums, mid+1, right);
        
        return root;
    }
}