编程题：A Mathematical Curiosity

Given two integers n and m, count the number of pairs of integers $(a,b)$ such that $0 < a < b < n$ and $(a^2+b^2 +m)/(ab)$ is an integer.

This problem contains multiple test cases!



### Input:
Each case is specified by a line containing the integers $n$ and $m$. The end of input is indicated by a case in which $n = m = 0$. You may assume that $0 < n <= 100$，$0 < m <= 100$.


### Output:

For each case, print the case number as well as the number of pairs $(a,b)$ satisfying the given property. Print the output for each case on one line in the format as shown below.

### Sample Input:

in
10 1
20 3
30 4
0 0

in
4 2
2 1
0 0




### Sample Output:

out
Case 1: 2
Case 2: 4
Case 3: 5

out
Case 1: 1
Case 2: 0






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