Minimum Depth of Binary Tree — LeetCode 111 Python Solution

EasyTreeDepth-First SearchBreadth-First SearchBinary Tree
Problem
#111
Reading time
3 min

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

MeasureComplexity
TimeO(n)
SpaceO(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.

Stuck on problems like this in a live interview?

Stealth Interview is a desktop app for macOS and Windows. It reads the problem off your screen and returns a working solution with a step-by-step explanation and its time and space complexity — invisible to screen sharing.

Get Stealth Interview