Validate Binary 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 is binary search trees.
Example 1:
2 / 1 3
Binary Tree [2,1,3]
, return True.
Example 2:
1 / 2 3
Binary tree [1,2,3]
, return false.
Analysis: determine if the sequence traversal is gradually increasing, if not, return false, if yes, return true.
/** Definition for a binary tree node. * struct TreeNode {* int val; * TreeNode *left; * TreeNode *right; * TreeNode (int x): Val (x), left (null), right (NULL) {} *}; */classSolution { Public: BOOLIsvalidbst (treenode*root) { if(root==NULL)return true; Stack<TreeNode*>s; TreeNode* cur=Root; TreeNode* pre=nullptr; while(1){ while(cur) {s.push (cur); Cur=cur->Left ; } if(S.empty ()) Break; Cur=S.top (); S.pop (); if(pre!=nullptr && pre->val >= cur->val)return false; Pre=cur; Cur= cur->Right ; } return true; }};
Validate Binary Search Tree