MediumNo. 1973LeetCode Premium
Count Nodes Equal to Sum of Descendants — LeetCode 1973 Python Solution
- Pattern
- Tree Traversal
- Topics
- Tree, Depth-First Search, Binary Tree
- Reading time
- 4 min
- Source
- leetcode.com
The problem
Given the root of a binary tree, return the number of nodes where the value of the node is equal to the sum of the values of its descendants. A descendant of a node x is any node that is on the path from node x to some leaf node.
Example
- Input
- root = [10,3,4,2,1]
- Output
- 2
- Explanation
- For the node with value 10: The sum of its descendants is 3+4+2+1 = 10.
Python 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 equalToDescendants(self, root: Optional[TreeNode]) -> int:
def dfs(root):
if root is None:
return 0
l, r = dfs(root.left), dfs(root.right)
if l + r == root.val:
nonlocal ans
ans += 1
return root.val + l + r
ans = 0
dfs(root)
return ansComplexity
- Time
- O(V+E)
- Space · auxiliary
- O(V)
Pattern: Tree Traversal
Choose the order — preorder, inorder, postorder, level — and the problem solves itself. LeetCode 1973. Count Nodes Equal to Sum of Descendants is filed here because LeetCode tags it Tree and Binary Tree, which is the vocabulary this hub collects.
The tree traversal guide has the Python template for the pattern and the 225 LeetCode problems that use it.
Related problems
| No. | Problem | Difficulty |
|---|---|---|
| 0098 | Validate Binary Search Tree | Medium |
| 0099 | Recover Binary Search Tree | Medium |
| 0100 | Same Tree | Easy |
| 0101 | Symmetric Tree | Easy |
| 0104 | Maximum Depth of Binary Tree | Easy |
| 0110 | Balanced Binary Tree | Easy |
Frequently asked questions
- How hard is LeetCode 1973. Count Nodes Equal to Sum of Descendants?
LeetCode 1973. Count Nodes Equal to Sum of Descendants is rated Medium on LeetCode.
- What is the time complexity of LeetCode 1973. Count Nodes Equal to Sum of Descendants?
The Python solution on this page runs in O(V+E).
- What is the space complexity of LeetCode 1973. Count Nodes Equal to Sum of Descendants?
The Python solution on this page uses O(V) auxiliary space.
- What topics does LeetCode 1973. Count Nodes Equal to Sum of Descendants cover?
LeetCode 1973. Count Nodes Equal to Sum of Descendants is tagged Tree, Depth-First Search and Binary Tree on LeetCode.
- Is LeetCode 1973. Count Nodes Equal to Sum of Descendants a premium problem?
Yes. LeetCode 1973. Count Nodes Equal to Sum of Descendants is a LeetCode Premium problem, so the full statement and test cases require a paid LeetCode subscription.