给定一个二叉树,判断其是否是一个有效的二叉搜索树
https://leetcode-cn.com/problems/validate-binary-search-tree/
假设一个二叉搜索树具有如下特征:
示例1:
示例2:
Java解法
package sj.shimmer.algorithm.y2021;
import sj.shimmer.algorithm.TreeNode;
/**
* Created by SJ on 2021/3/14.
*/
class D48 {
public static void main(String[] args) {
TreeNode n6 = new TreeNode(6,null,null);
TreeNode n3 = new TreeNode(3,null,null);
TreeNode n4 = new TreeNode(4,n3,n6);
TreeNode n1 = new TreeNode(1,null,null);
TreeNode n5 = new TreeNode(5,n1,n4);
System.out.println(isValidBST(n5));
TreeNode n2 = new TreeNode(2,n1,n3);
System.out.println(isValidBST(n2));
}
public static boolean isValidBST(TreeNode root) {
return isValidBST(root,Long.MIN_VALUE,Long.MAX_VALUE);
}
public static boolean isValidBST(TreeNode node, long min, long max) {
if (node == null) {
return true;
}
if (node.val <= min || node.val >= max) {
return false;
}
return isValidBST(node.left, min, node.val) && isValidBST(node.right, node.val, max);
}
}
官方解
-
递归
- 时间复杂度:O(n)
- 空间复杂度:O(n)
-
中序遍历
- 时间复杂度:O(n)
- 空间复杂度:O(n)