validate-binary-search-tree Java code
2017-10-31 13:43
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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”{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}”.
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 static boolean IsSubtreeLessThan(TreeNode t, int val) { if (t == null) return true; return (t.val < val && IsSubtreeLessThan(t.left, val) && IsSubtreeLessThan(t.right, val)); } public static boolean IsSubtreeMoreThan(TreeNode t, int val) { if (t==null) return true; return (t.val>val && IsSubtreeMoreThan(t.left, val) && IsSubtreeMoreThan(t.right, val)); } public boolean isValidBST(TreeNode root) { if (root == null) return true; return (IsSubtreeLessThan(root.left, root.val) && IsSubtreeMoreThan(root.right, root.val) && isValidBST(root.left) && isValidBST(root.right)); } }
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