Leetcode 331. Verify Preorder Serialization of a Binary Tree

One way to serialize a binary tree is to use pre-order traversal. When we encounter a non-null node, we record the node's value. If it is a null node, we record using a sentinel value such as #.

     _9_
    /   \
   3     2
  / \   / \
 4   1  #  6
/ \ / \   / \
# # # #   # #

For example, the above binary tree can be serialized to the string "9,3,4,#,#,1,#,#,2,#,6,#,#", where # represents a null node.

Given a string of comma separated values, verify whether it is a correct preorder traversal serialization of a binary tree. Find an algorithm without reconstructing the tree.

Each comma separated value in the string must be either an integer or a character '#' representing null pointer.

You may assume that the input format is always valid, for example it could never contain two consecutive commas such as "1,,3".

Example 1:
"9,3,4,#,#,1,#,#,2,#,6,#,#"
Return true

Example 2:
"1,#"
Return false

Example 3:
"9,#,#,1"
Return false

思路:观察可知,将4 以及它下面的两个#,换成一个#,如果原来的list是preorder,那么这个修改之后的list还是。

所以逐次代换,看最后是否是一个#即可。注意如果扫了一遍list之后发现没有可以换的,那么break,return False。

 1 class Solution(object):
 2     def isValidSerialization(self, preorder):
 3         """
 4         :type preorder: str
 5         :rtype: bool
 6         """
 7         preorder = preorder.split(',')
 8         while len(preorder) > 1:
 9             n = len(preorder)
10             ind = []
11             for i in range(0, n-2):
12                 if preorder[i] != "#" and preorder[i+1] == "#" and preorder[i+2] == "#":
13                     preorder[i] = "#"
14                     ind.append(i+1)
15                     ind.append(i+2)
16                 else:
17                     continue
18             preorder = [elem for i, elem in enumerate(preorder) if i not in ind]
19             if len(preorder) == n:
20                 break
21         
22         if preorder == ["#"]:
23             return True
24         else:
25             return False

 

posted @ 2017-02-19 12:43  lettuan  阅读(141)  评论(0编辑  收藏  举报