Given a binary tree, determine if it is a valid binary search tree (BST).
Assume a BST is defined as follows:
- The left subtree of a node contains only nodes with keys less than the node's key.
- The right subtree of a node contains only nodes with keys greater than the node's key.
- Both the left and right subtrees must also be binary search trees.
Example 1:
2
/ \
1 3
Binary tree [2,1,3]
, return true.
Example 2:
1
/ \
2 3
Binary tree [1,2,3]
, return false.
先中序遍历树到数组flag,flag中必定是从小到大排列,如果不是,return false
class Solution(object):
def isValidBST(self, root):
flag = []
self.isv(root,flag)
for i in range(1,len(flag)):
if flag[i]<=flag[i-1]:
return False
return True
def isv(self,root,flag):
if root == None:
return
self.isv(root.left,flag)
flag.append(root.val)
self.isv(root.right,flag)