题目链接
https://leetcode.com/problems/balanced-binary-tree/
题目原文
Given a binary tree, determine if it is height-balanced.
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.
题目大意
给定一棵二叉树,判断这棵树是否平衡二叉树(任意左右子树的高度差小于等于1)
解题思路
借用求书高度的函数,递归求解
代码
# Definition for a binary tree node.
# class TreeNode(object):
# def __init__(self, x):
# self.val = x
# self.left = None
# self.right = None
class Solution(object):
def maxDepth(self, root):
"""
:type root: TreeNode
:rtype: int
"""
if root == None:
return 0
else:
return max(self.maxDepth(root.left) + 1, self.maxDepth(root.right) + 1)
def isBalanced(self, root):
"""
:type root: TreeNode
:rtype: bool
"""
if root == None:
return True
if abs(self.maxDepth(root.left) - self.maxDepth(root.right)) <= 1:
return self.isBalanced(root.left) and self.isBalanced(root.right)
else:
return False