> For the complete documentation index, see [llms.txt](https://soumyajit4419.gitbook.io/ds-algo/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://soumyajit4419.gitbook.io/ds-algo/binary-tree/problems-related-to-binary-trees/maximum-depth-of-binary-tree.md).

# 1.Maximum/Minimum Depth of Binary Tree

Given the `root` of a binary tree, return *its maximum depth*.

A binary tree's **maximum depth** is the number of nodes along the longest path from the root node down to the farthest leaf node.

**Example 1:**

![](https://assets.leetcode.com/uploads/2020/11/26/tmp-tree.jpg)

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

**Example 2:**

```
Input: root = [1,null,2]
Output: 2
```

**Example 3:**

```
Input: root = []
Output: 0
```

**Example 4:**

```
Input: root = [0]
Output: 1
```

## Solution I : (Using level order traversal)

```cpp
class Solution
{
public:
    int maxDepth(TreeNode *root)
    {
        
        if(root == NULL){return 0;}

        TreeNode *t = root;
        queue<TreeNode *> q;
        q.push(root);
        int s = 0;
        while (!q.empty())
        {

            int k = q.size();

            while (k > 0)
            {
                TreeNode *p = q.front();
                q.pop();
                if (p->left != NULL)
                {
                    q.push(p->left);
                }
                if (p->right != NULL)
                {
                    q.push(p->right);
                }
                k--;
            }

            s++;
        }
        return s;
    }
};
```

**This solution is based on level order tree traversal and finding the height.**

## Solution II: Recursive&#x20;

```cpp
class Solution
{
public:
    

    int maxDepth(TreeNode *root)
    {
       
        if(root == NULL){
            return 0;
        }
        
        int ldepth = maxDepth(root->left);
        int rdepth = maxDepth(root->right);
        return max(ldepth,rdepth) + 1;
    }
};
```

## Minimum Depth of Binary Tree

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:**

![](https://assets.leetcode.com/uploads/2020/10/12/ex_depth.jpg)

```
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
```

## Solution&#x20;

```cpp
class Solution
{
public:
    int minDepth(TreeNode *root)
    {

        if (root == NULL)
        {
            return 0;
        }

        int ld = minDepth(root->left);
        int rd = minDepth(root->right);
        if (ld == 0)
        {
            return rd + 1;
        }
        else if (rd == 0)
        {
            return ld + 1;
        }
        return min(ld, rd) + 1;
    }
};
```


---

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