JZ23 二叉搜索树的后序遍历序列

后序遍历得到的序列,最后一个值为根节点的值,数组中前面的数字分为两部分第一部分是左子树节点的值,他们都比根节点的值小,第二部分是右子树节点的值,他们都比根节点的值大
错误记录
- 当需要判断一个范围内数字与某个数字的大小情况时,先判断这个范围是否为空
class Solution:
def dfs(self, arr, start, end):
if start >= end:
return True
root = arr[end]
big_than_idx = end
for i in range(start, end):
if arr[i] > root:
big_than_idx = i
break
if arr[big_than_idx:end] and min(arr[big_than_idx:end]) < root:
return False
return self.dfs(arr,start, big_than_idx-1) and self.dfs(arr, big_than_idx, end-1)
def VerifySquenceOfBST(self, sequence):
if not sequence:
return False
root = sequence[-1]
big_than_idx = len(sequence)-1
for i in range(len(sequence)):
if sequence[i] > root:
big_than_idx = i
break
if sequence[big_than_idx:-1] and min(sequence[big_than_idx:-1]) < root:
return False
return self.dfs(sequence,0,big_than_idx-1) and self.dfs(sequence, big_than_idx, len(sequence)-2)
处理一颗二叉树的遍历序列时,可以先找到二叉树的根节点