题目描述
给你一个整数数组 nums ,其中元素已经按 升序 排列,请你将其转换为一棵平衡二叉搜索树。
示例 1:
输入:nums = [-10,-3,0,5,9] 输出:[0,-3,9,-10,null,5] 解释:[0,-10,5,null,-3,null,9] 也将被视为正确答案:
示例 2:
输入:nums = [1,3] 输出:[3,1] 解释:[1,null,3] 和 [3,1] 都是高度平衡二叉搜索树。
提示:
- 1 <= nums.length <= 104
- -104 <= nums[i] <= 104
- nums按 严格递增 顺序排列
解题思路:
中序遍历,总是选择中间位置左边的数字作为根节点
题解:
/*** 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 helper(nums,0,nums.length-1);}public TreeNode helper(int[] nums,int left,int right){if(left>right){return null;}//总是选择中间位置左边的数据作为根节点int mid=(left+right)/2;TreeNode root=new TreeNode(nums[mid]);root.left=helper(nums,left,mid-1);root.right=helper(nums,mid+1,right);return root;}
}

