Thursday Code Puzzler: Verification of a Binary Search Tree

Thursday is code puzzler day here at DZone. The idea is simple: solve the coding problem as efficiently as you can, in any language or framework that you find suitable.

Note: Even though there really is nothing stopping you from finding a solution to this on the internet, try to keep honest, and come up with your own answer.  It's all about the participation!

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Given a tree structure, provide a method that will verify whether or not it is actually a binary search tree. The Tree consists of a number of Node objects, each of which has a value and a reference to a right and left Node object.

Note that a BST is different to a standard binary tree because of the following properties : 

• The leftsubtreeof 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.
• There must be no duplicate nodes.

For more on Binary Search Trees, check this article  on Wikipedia.

Catch up on all our previous puzzlers here.