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Airport

Time Limit: 3000/1500 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 2916    Accepted Submission(s): 937


Problem Description
The country of jiuye composed by N cites. Each city can be viewed as a point in a two- dimensional plane with integer coordinates (x,y). The distance between city i and city j is defined by dij = |xi - xj| + |yi - yj|. jiuye want to setup airport in K cities among N cities. So he need your help to choose these K cities, to minimize the maximum distance to the nearest airport of each city. That is , if we define di(1 i N ) as the distance from city i to the nearest city with airport. Your aim is to minimize the value max{di|1 i N }. You just output the minimum.
 

Input
The first line of the input is T (1 T 100), which stands for the number of test cases you need to solve.

The first line of each case contains two integers N ,K (1 N 60,1 K N ),as mentioned above.

The next N lines, each lines contains two integer xi and yi (-109 xi, yi 109), denote the coordinates of city i.
 

Output
For each test case, print a line Case #t: (without quotes, t means the index of the test case) at the beginning. Then a single integer means the minimum.
 

Sample Input
2 3 2 0 0 4 0 5 1 4 2 0 3 1 0 3 0 8 9
 

Sample Output
Case #1: 2 Case #2: 4
 

Source
 

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