DEV Community

Abhishek Chaudhary
Abhishek Chaudhary

Posted on

2 1

Maximum Difference Between Node and Ancestor

Given the root of a binary tree, find the maximum value v for which there exist 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: root = [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.

Example 2:

Input: root = [1,null,2,null,0,3]
Output: 3

Constraints:

  • The number of nodes in the tree is in the range [2, 5000].
  • 0 <= Node.val <= 105

SOLUTION:

# Definition for a binary tree node.
# class TreeNode:
#     def __init__(self, val=0, left=None, right=None):
#         self.val = val
#         self.left = left
#         self.right = right
class Solution:
    def maxAncestorDiff(self, root: Optional[TreeNode]) -> int:
        nodes = [(root, root.val, root.val)]
        mdiff = 0
        while len(nodes) > 0:
            curr, currmin, currmax = nodes.pop()
            mdiff = max(mdiff, currmax - currmin)
            if curr.left:
                nodes.append((curr.left, min(currmin, curr.left.val), max(currmax, curr.left.val)))
            if curr.right:
                nodes.append((curr.right, min(currmin, curr.right.val), max(currmax, curr.right.val)))
        return mdiff
Enter fullscreen mode Exit fullscreen mode

Heroku

Simplify your DevOps and maximize your time.

Since 2007, Heroku has been the go-to platform for developers as it monitors uptime, performance, and infrastructure concerns, allowing you to focus on writing code.

Learn More

Top comments (0)

AWS GenAI LIVE image

How is generative AI increasing efficiency?

Join AWS GenAI LIVE! to find out how gen AI is reshaping productivity, streamlining processes, and driving innovation.

Learn more

👋 Kindness is contagious

Please leave a ❤️ or a friendly comment on this post if you found it helpful!

Okay