Box of Bricks

INPUT FILE: box.in
OUTPUT FILE: box.out

Little Bobby likes playing with his box of bricks. He puts the bricks one upon another and builds stacks of different height. "Look, I've built a wall!" he tells his older sister Alice. "Nah, you should make all stacks the same height. Then you would have a real wall," she retorts. After a little consideration, Bobby sees that she is right. So he sets out to rearrange the bricks, one by one, such that all stacks are the same height afterwards. But since Bobby is lazy he wants to do this with the minimum number of bricks moved. Can you help?

INPUT
The input consists of several data sets. Each set begins with a line containing the number n of stacks Bob has built. The next line contains n numbers, the heights h_i of the n stacks. You may assume 1<=n<=50 and 1<=h_i<=100.

The total number of bricks will be divisible by the number of stacks. Thus, it is always possible to rearrange the bricks such that all stacks have the same height.

The input is terminated by a set starting with n = 0. This set should not be processed.

OUTPUT
For each set, first print the number of the set as shown in the sample output. Then print the line "The minimum numberof moves is k" where k is the minimum number of bricks that have to be moved in order to make all stacks the same height.

Output a blank line after each set.

Sample Input File

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

Output for Sample Input

Set #1
The minimum number of moves is 5.


Set #2
The minimum number of moves is 0.