docs(docs): add MDX page for LeetCode 1448 Count Good Nodes in Binary Tree problem

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Prad Nukala
2026-09-04 16:44:04 -04:00
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---
title: '1448. Count Good Nodes in Binary Tree'
description: Given a binary tree root, a node X in the tree is named good if in the path from root to X there are no nodes with a value greater than X
sidebar:
label: 'Count Good Nodes in Binary Tree'
badge: 'Medium'
---
<Badge variant="accent">Tree BFS</Badge>
### Example 1:
- Input: `root = [3,1,4,3,null,1,5]`
- Output: `4`
- Explanation: Nodes in blue are good. Root Node `(3`) is always a good node. Node `4` -> (3,4) is the maximum value in the path starting from the `root`. Node `5` -> (3,4,5) is the maximum value in the path Node `3` -> (3,1,3) is the maximum value in the path.
### Example 2:
- Input: `root = [3,3,null,4,2]`
- Output: `3`
- Explanation: Node `2` -> `(3`, `3`, `2`) is not good, because `"3`" is higher than it.
### Example 3:
- Input: `root = [1]`
- Output: `1`
- Explanation: Root is considered as good.
### Constraints:
- The number of nodes in the binary tree is in the range [1, 10^5].
- Each node's value is between [-10^4, 10^4].
## Solution
```py
# 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 goodNodes(self, root: TreeNode) -> int:
def dfs(node, max_val):
if not node:
return 0
is_good = 1 if node.val >= max_val else 0
new_max = max(max_val, node.val)
return is_good + dfs(node.left, new_max) + dfs(node.right, new_max)
return dfs(root, root.val)
```