Largest Bst Subtree

medium
1. You are given a partially written BinaryTree class.
2. You are required to find the root of largest sub-tree which is a BST. Also, find the number of nodes in that sub-tree.
3. Input is managed for you. 

Note -> Please refer the question video for clarity.

Input Format

Input is managed for you.

Output Format

<root of largest sub-tree which is a bst>@<number of nodes in the largest sub-tree which is a bst>

Constraints

Time complexity must be O(n)
Space should not be more than required for recursion (call-stack)

Notice

Try First, Check Solution later

1. You should first read the question and watch the question video.
2. Think of a solution approach, then try and submit the question on editor tab.
3. We strongly advise you to watch the solution video for prescribed approach.

Example

Input
15
50 25 12 n n 37 n n 75 62 n n 87 n n
Output
50@7
Previous
Is Balanced Tree

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