LeetCode 1026. Maximum Difference Between Node and Ancestor

Posted 2022-03-22 dylan-java-nyc

原题链接在这里：https://leetcode.com/problems/maximum-difference-between-node-and-ancestor/

题目：

Given the root of a binary tree, find the maximum value V for which there exists different nodes A and B where V = |A.val - B.val| and A is an ancestor of B.

(A node A is an ancestor of B if either: any child of A is equal to B, or any child of A is an ancestor of B.)

 

Example 1:

Input: [8,3,10,1,6,null,14,null,null,4,7,13]
Output: 7
Explanation: 
We have various ancestor-node differences, some of which are given below :
|8 - 3| = 5
|3 - 7| = 4
|8 - 1| = 7
|10 - 13| = 3
Among all possible differences, the maximum value of 7 is obtained by |8 - 1| = 7.

 

Note:

1. The number of nodes in the tree is between 2 and 5000.
2. Each node will have value between 0 and 100000.

题解：

Perform DFS top down. On each level, Calculate maxmimum difference and update minimum and maximum value.

Time Complexity: O(n).

Space: O(h).

AC Java:

 1 /**
 2  * Definition for a binary tree node.
 3  * public class TreeNode 
 4  *     int val;
 5  *     TreeNode left;
 6  *     TreeNode right;
 7  *     TreeNode(int x)  val = x; 
 8  * 
 9  */
10 class Solution 
11     int res = 0;
12     
13     public int maxAncestorDiff(TreeNode root) 
14         if(root == null)
15             return res;
16         
17         
18         dfs(root, root.val, root.val);
19         return res;
20     
21     
22     private void dfs(TreeNode root, int min, int max)
23         if(root == null)
24             return;
25         
26         
27         res = Math.max(res, Math.max(Math.abs(root.val - min), Math.abs(max-root.val)));
28         min = Math.min(min, root.val);
29         max = Math.max(max, root.val);
30         dfs(root.left, min, max);
31         dfs(root.right, min, max);
32     
33