Description
https://leetcode.com/problems/maximum-depth-of-n-ary-tree/
Given a n-ary tree, find its maximum depth.
The maximum depth is the number of nodes along the longest path from the root node down to the farthest leaf node.
Nary-Tree input serialization is represented in their level order traversal, each group of children is separated by the null value (See examples).
Example 1:
Input: root = [1,null,3,2,4,null,5,6] Output: 3
Example 2:
Input: root = [1,null,2,3,4,5,null,null,6,7,null,8,null,9,10,null,null,11,null,12,null,13,null,null,14] Output: 5
Constraints:
- The depth of the n-ary tree is less than or equal to
1000
. - The total number of nodes is between
[0, 104]
.
Explanation
Traverse the tree and all the children nodes and record the maximum depth.
Python Solution
"""
# Definition for a Node.
class Node:
def __init__(self, val=None, children=None):
self.val = val
self.children = children
"""
class Solution:
def maxDepth(self, root: 'Node') -> int:
self.max_depth = 0
self.traverse(root, 1)
return self.max_depth
def traverse(self, root, depth):
if not root:
return
self.max_depth = max(self.max_depth, depth)
for child in root.children:
self.traverse(child, depth + 1)
- Time Complexity: O(N).
- Space Complexity: O(N).