问题描述:

Given a non-empty binary tree, return the average value of the nodes on each level in the form of an array.

Example 1:

Input:
3
/ \
9 20
/ \
15 7
Output: [3, 14.5, 11]
Explanation:
The average value of nodes on level 0 is 3, on level 1 is 14.5, and on level 2 is 11. Hence return [3, 14.5, 11].

思路:

考虑BFS算法,因为这是第一次碰到BFS算法,因而将该题记录

代码:

 # Definition for a binary tree node.
# class TreeNode:
# def __init__(self, x):
# self.val = x
# self.left = None
# self.right = None class Solution:
def averageOfLevels(self, root: TreeNode) -> List[float]:
result = []
self.BFS(root,result)
return result def BFS(self,root,result):
if root == None: return
queue = [root]
while queue:#如果queue不为空
val = [i.val for i in queue if i]
if len(val):result.append(sum(val)/len(val))
queue = [child for node in queue if node for child in (node.left,node.right)]

BFS的基本思路是:将每一层的结点放置于一个list中,然后遍历List对每个结点进行相应操作,下一步更新该list,将该list放置更下一层的结点。该算法不用递归调用自身,相对而言理解比较容易

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