Balanced Binary Tree
Balanced Binary Tree
Balanced Binary Tree
Leetcode https://leetcode.cn/problems/balanced-binary-tree/
题目描述
给定一个二叉树,判断它是否是高度平衡的二叉树。
本题中,一棵高度平衡二叉树定义为:
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 。
示例 1:
输入:root = [3, 9, 20, null, null, 15, 7]
输出:true
示例 2:
输入:root = [1, 2, 2, 3, 3, null, null, 4, 4]
输出:false
示例 3:
输入:root = []
输出:true
提示:
- 树中的节点数在范围 [0, 5000] 内
- -10^4 <= Node.val <= 10^4
解题报告
用了 ResultType 结构来返回多个属性值。
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/**
* 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 {
class ResultType {
public boolean isBalanced;
public int maxDepth;
public ResultType(boolean isBalanced, int maxDepth) {
this.isBalanced = isBalanced;
this.maxDepth = maxDepth;
} // end constructor
} // end ReaultType
public boolean isBalanced(TreeNode root) {
return helper(root).isBalanced;
} // end isBalanced
private ResultType helper(TreeNode root) {
if (root == null) {
return new ResultType(true, 0);
}
ResultType left = helper(root.left);
ResultType right = helper(root.right);
// subtree is not balanced
if (!left.isBalanced || !right.isBalanced) {
return new ResultType(false, -1);
}
// root is not balanced
if (Math.abs(left.maxDepth - right.maxDepth) > 1) {
return new ResultType(false, -1);
}
return new ResultType(true, Math.max(left.maxDepth, right.maxDepth) + 1);
} // end helper
} // end Solution
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