# [Solved] 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. Note: A leaf is a node with no children.

## Question

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.

Note: A leaf is a node with no children.

Example 1:

```Input: root = [3,9,20,null,null,15,7]
Output: 2
```

Example 2:

```Input: root = [2,null,3,null,4,null,5,null,6]
Output: 5
```

Constraints:

• The number of nodes in the tree is in the range `[0, 105]`.
• `-1000 <= Node.val <= 1000`

## 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

def find_min(root,level):
global m
if not root: return
if root.left==None and root.right==None:m = min(m,level+1)
find_min(root.left,level+1)
find_min(root.right,level+1)

class Solution:
def minDepth(self, root: TreeNode) -> int:
global m
m = 2**31-1
if root==None:return 0
find_min(root,0)
return m```