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.
confused what
"{1,#,2,3}"
means? > read more on how binary tree is serialized on OJ.
OJ's Binary Tree Serialization:
The serialization of a binary tree follows a level order traversal, where '#' signifies a path terminator where no node exists below.
Here's an example:
1
/ \
2 3
/
4
\
5
The above binary tree is serialized as
"{1,2,3,#,#,4,#,#,5}"
.
Java:
http://blog.csdn.net/linhuanmars/article/details/23810735
其實感覺第二種方法更好了解,第一種不太懂,有懂的朋友幫忙解釋下:
第一種:
/**
* Definition for binary tree
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
public class Solution {
public boolean isValidBST(TreeNode root) {
ArrayList<Integer> pre=new ArrayList<Integer>();
pre.add(null);
return help(root,pre);
}
private boolean help(TreeNode root,ArrayList<Integer> pre)
{
if(root==null) return true;
boolean left=help(root.left,pre);
if(pre.get(0)!=null&&root.val<=pre.get(0)) return false;
pre.set(0,root.val);
return left&&help(root.right,pre);
}
}
第二種:
/**
* Definition for binary tree
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
public class Solution {
public boolean isValidBST(TreeNode root) {
return help(root,Integer.MIN_VALUE, Integer.MAX_VALUE);
}
private boolean help(TreeNode root,int min,int max)
{
if(root==null) return true;
if(root.val<=min||root.val>=max) return false;
return help(root.left,min,root.val)&&help(root.right, root.val, max);
}
}