Given a binary tree, you need to compute the length of the diameter of the tree. The diameter of a binary tree is the length of the longest path between any two nodes in a tree. This path may or may not pass through the root.

Example:
Given a binary tree

1 / \ 2 3 / \ 4 5

Return 3, which is the length of the path [4,2,1,3] or [5,2,1,3].

Note: The length of path between two nodes is represented by the number of edges between them.

Solution

We can find Diameter of the tree with PostOrder traversal. At each node calculate diameter of left node and right node, and check if Left+Right+1 is greater then previosuly found diameter.

Code

Output

3

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