LogiQuest

287. Diameter of a Tree

MediumBFSTrees

The graph is a tree. Print its diameter: the number of edges on the longest path between two nodes.

Input format

Line 1: n Next n − 1 lines: u v

Output format

The diameter.

Example 1

Input

5
1 2
1 3
3 4
3 5

Output

3

Example 2

Input

1

Output

0

Constraints

1 ≤ n ≤ 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 5 test cases, most of them hidden.

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