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2035 - A MST Problem

通过次数

0

提交次数

0

Time Limit : 1 秒 Memory Limit : 32 MB

It is just a mining spanning tree ( 最小生成树 ) problem, what makes you a little difficult is that you are in a 3D space.

Input

The first line of the input contains the number of test cases in the file. And t he first line of each case
contains one integer numbers n(0<n<30) specifying the number of the point . The n next n line s, each line
contain s Three Integer Numbers xi,yi and zi, indicating the position of point i.

Output

For each test case, output a line with the answer, which should accurately rounded to two decimals .

Examples

Input Format

2
2
1 1 0
2 2 0
3
1 2 3
0 0 0
1 1 1

Output Format

1.41
3.97