题目
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
题目大意
将一个按照升序排列的有序数组，转换为一棵高度平衡二叉搜索树。本题中，一个高度平衡二叉树是指一个二叉树每个节点 的左右两个子树的高度差的绝对值不超过 1。
解题思路
- 把一个有序数组转换成高度平衡的二叉搜索数，按照定义即可
参考代码
package leetcode
import (
"github.com/halfrost/LeetCode-Go/structures"
)
// TreeNode define
type TreeNode = structures.TreeNode
/**
* Definition for a binary tree node.
* type TreeNode struct {
* Val int
* Left *TreeNode
* Right *TreeNode
* }
*/
func sortedArrayToBST(nums []int) *TreeNode {
if len(nums) == 0 {
return nil
}
return &TreeNode{Val: nums[len(nums)/2], Left: sortedArrayToBST(nums[:len(nums)/2]), Right: sortedArrayToBST(nums[len(nums)/2+1:])}
}