Minimum Depth of Binary Tree — LeetCode 111 Python Solution
EasyTreeDepth-First SearchBreadth-First SearchBinary Tree
- Problem
- #111
- Pattern
- Tree Traversal
- Reading time
- 3 min
- Source
- leetcode.com
The problem
Given a binary tree, find its minimum depth. The minimum depth is the number of nodes along the shortest path from the root node down to the nearest leaf node.
Example
- Input
- root = [3,9,20,null,null,15,7]
- Output
- 2
Python solution
Python
# 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 minDepth(self, root: Optional[TreeNode]) -> int:
if root is None:
return 0
if root.left is None:
return 1 + self.minDepth(root.right)
if root.right is None:
return 1 + self.minDepth(root.left)
return 1 + min(self.minDepth(root.left), self.minDepth(root.right))Complexity
| 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 111. Minimum Depth of Binary Tree 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 111. Minimum Depth of Binary Tree?
- LeetCode 111. Minimum Depth of Binary Tree is rated Easy on LeetCode.
- What is the time complexity of LeetCode 111. Minimum Depth of Binary Tree?
- The Python solution on this page runs in O(n).
- What is the space complexity of LeetCode 111. Minimum Depth of Binary Tree?
- The Python solution on this page uses O(n) auxiliary space.
- What topics does LeetCode 111. Minimum Depth of Binary Tree cover?
- LeetCode 111. Minimum Depth of Binary Tree is tagged Tree, Depth-First Search, Breadth-First Search and Binary Tree on LeetCode.