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[leetcode] 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 be binary search trees.

https://oj.leetcode.com/problems/validate-binary-search-tree/

 

思路1:递归求解,每个节点有一对valid的范围参数。

思路2:中序遍历,看是否是递增序列。

 

public class Solution {    public boolean isValidBST(TreeNode root) {        return check(root, Integer.MIN_VALUE, Integer.MAX_VALUE);    }    private boolean check(TreeNode root, int min, int max) {        if (root == null)            return true;        if (root.val >= max || root.val <= min)            return false;        return check(root.left, min, root.val) && check(root.right, root.val, max);    }    public static void main(String[] args) {        TreeNode root = new TreeNode(10);        root.left = new TreeNode(5);        root.left.right = new TreeNode(9);        root.right = new TreeNode(20);        root.right.left = new TreeNode(11);        System.out.println(new Solution().isValidBST(root));    }}
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