Cousins in Binary Tree II — LeetCode 2641 Python Solution
- Problem
- #2641
- Pattern
- Tree Traversal
- Reading time
- 6 min
- Source
- leetcode.com
The problem
Given the root of a binary tree, replace the value of each node in the tree with the sum of all its cousins' values. Two nodes of a binary tree are cousins if they have the same depth with different parents.
Example
- Input
- root = [5,4,9,1,10,null,7]
- Output
- [0,0,0,7,7,null,11]
- Explanation
- The diagram above shows the initial binary tree and the binary tree after changing the value of each node.
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 replaceValueInTree(self, root: Optional[TreeNode]) -> Optional[TreeNode]:
def dfs1(root: Optional[TreeNode], depth: int):
if root is None:
return
if len(s) <= depth:
s.append(0)
s[depth] += root.val
dfs1(root.left, depth + 1)
dfs1(root.right, depth + 1)
def dfs2(root: Optional[TreeNode], depth: int):
sub = (root.left.val if root.left else 0) + (
root.right.val if root.right else 0
)
depth += 1
if root.left:
root.left.val = s[depth] - sub
dfs2(root.left, depth)
if root.right:
root.right.val = s[depth] - sub
dfs2(root.right, depth)
s = []
dfs1(root, 0)
root.val = 0
dfs2(root, 0)
return rootComplexity
| Measure | Complexity |
|---|---|
| Time | O(n) |
| Space | O(n) auxiliary |
Pattern: Tree Traversal
Choose the order — preorder, inorder, postorder, level — and the problem solves itself. LeetCode 2641. Cousins in Binary Tree II 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
Frequently asked questions
- How hard is LeetCode 2641. Cousins in Binary Tree II?
- LeetCode 2641. Cousins in Binary Tree II is rated Medium on LeetCode.
- What is the time complexity of LeetCode 2641. Cousins in Binary Tree II?
- The Python solution on this page runs in O(n).
- What is the space complexity of LeetCode 2641. Cousins in Binary Tree II?
- The Python solution on this page uses O(n) auxiliary space.
- What topics does LeetCode 2641. Cousins in Binary Tree II cover?
- LeetCode 2641. Cousins in Binary Tree II is tagged Tree, Depth-First Search, Breadth-First Search, Hash Table and Binary Tree on LeetCode.