Problem Description
Little E is doing geometry works. After drawing a lot of points on a plane, he want to enumerate all the triangles which the vertexes are three of the points to find out the one with minimum perimeter. Your task is to implement his work.
Input
The input contains several test cases. The first line of input contains only one integer denoting the number of test cases.
The first line of each test cases contains a single integer N, denoting the number of points. (3 <= N <= 1000)
Next N lines, each line contains two integer X and Y, denoting the coordinates of a point. (0 <= X, Y <= 1000)
Output
For each test cases, output the minimum perimeter, if no triangles exist, output "No Solution".
Sample Input
2
3
0 0
1 1
2 2
4
0 0
0 2
2 1
1 1
Sample Output
Case 1: No Solution
Case 2: 4.650