Leetcode Original question: (That is, to determine whether the binary tree is a two-fork search tree)
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
The following Java implementations are used:
Public classTreeNode {intVal; TreeNode left; TreeNode right; TreeNode (intX) {val =x;} } Public classvalidatebst{Booleanflag=true; TreeNode Pre=NULL;//Save precursor node Public BooleanIsvalidbst (TreeNode root) {DFS (root); returnFlag; }
In the middle order traversal, if the former node is not less than the value of the current node, it does not conform to the conditions of BSTPrivate voiddfs (TreeNode root) {if(root!=NULL) {DFS (root.left); if(pre!=NULL&&root.val<=pre.val) flag=false; Pre=Root; DFS (Root.right); } }
}
Effective binary lookup tree judgment (Java implementation)