Validate Binary Search Tree
2014-01-03 15:09
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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
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:
The above binary tree is serialized as
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}".
/** * 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) { // Start typing your Java solution below // DO NOT write main() function int max = Integer.MAX_VALUE; int min = Integer.MIN_VALUE; return isBST(root, min, max); } public boolean isBST(TreeNode root, int min, int max){ if(root == null) { return true; } if(root.val < max && root.val > min && isBST(root.left, min, root.val) && isBST(root.right, root.val, max)) { return true; } else { return false; } } }
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