TopCoder

User's AC Ratio

NaN% (0/0)

Submission's AC Ratio

NaN% (0/0)

Tags

Description

Given a tree, calculate the average distance between two vertices in the tree. For example, the average distance between two vertices in the following tree is (d01 + d02 + d03 + d04 + d12 +d13 +d14 +d23 +d24 +d34)/10 = (6+3+7+9+9+13+15+10+12+2)/10 = 8.6.




Input Format

On the first line an integer t (1<=t<=100): the number of test cases. Then for each test case:


• One line with an integer n (2<=n<=10000): the number of nodes in the tree. The nodes are numbered from 0 to n − 1.


• n − 1 lines, each with three integers a (0 <= a < n), b (0 <= b < n) and d (1 <= d <= 1000). There is an edge between the nodes with numbers a and b of length d. The resulting graph will be a tree.

Output Format

For each testcase:


• One line with the average distance between two vertices with 3 decimal digits.

Sample Input 1

1
5
0 1 6
0 2 3
0 3 7
3 4 2

Sample Output 1

8.600

Hints

Problem Source

Migrated from old NTUJ.

Subtasks

No. Testdata Range Score

Testdata and Limits

No. Time Limit (ms) Memory Limit (VSS, KiB) Output Limit (KiB) Subtasks
0 10000 65536 200