## DMOPC '17 Contest 4 P3 - Third Place

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Points: 7 (partial)
Time limit: 1.0s
Memory limit: 256M

Author:
Problem type

Roger, Jessica, and Victor held an impromptu math contest, where Roger promptly got third place (what did you expect?). The third place prize was the second-longest path in a weighted tree with nodes. However, when he went to collect his prize, he felt as though he had been scammed. Thus, he hires you to write a program to print the length of this path so that he may file a formal complaint to the contest organizers.

#### Input Specification

The first line of input will contain .
The next lines of input will contain 3 space-separated integers, , indicating there exists an edge of weight between nodes and .

#### Output Specification

A single integer, the length of the second-longest path in the tree.

#### Sample Input 1

4
1 2 1
1 3 1
1 4 1

#### Sample Output 1

2

#### Sample Input 2

5
1 2 1
2 3 1
3 4 1
4 5 1

#### Sample Output 2

3