Thursday Code Puzzler: Verification of a Binary Search Tree
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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.
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