# 865. Smallest Subtree with all the Deepest Nodes LeetCode Solution

Share:

Smallest Subtree with all the Deepest Nodes Given the `root` of a binary tree, the depth of each node is the shortest distance to the root.

Return the smallest subtree such that it contains all the deepest nodes in the original tree.

A node is called the deepest if it has the largest depth possible among any node in the entire tree.

The subtree of a node is a tree consisting of that node, plus the set of all descendants of that node.

Example 1:

```Input: root = [3,5,1,6,2,0,8,null,null,7,4]
Output: [2,7,4]
Explanation: We return the node with value 2, colored in yellow in the diagram.
The nodes coloured in blue are the deepest nodes of the tree.
Notice that nodes 5, 3 and 2 contain the deepest nodes in the tree but node 2 is the smallest subtree among them, so we return it.
```

Example 2:

```Input: root = [1]
Output: [1]
Explanation: The root is the deepest node in the tree.
```

Example 3:

```Input: root = [0,1,3,null,2]
Output: [2]
Explanation: The deepest node in the tree is 2, the valid subtrees are the subtrees of nodes 2, 1 and 0 but the subtree of node 2 is the smallest.
```

Constraints:

• The number of nodes in the tree will be in the range `[1, 500]`.
• `0 <= Node.val <= 500`
• The values of the nodes in the tree are unique.

Time: O(n)
Space: O(n)

### C++

`` Will be updated Soon``

### Java

``````
Will be updated Soon``````

### Python

``````  Will be updated Soon
``````

#### Watch Tutorial

Checkout more Solutions here