Problem Description
Dumbear likes to play table tennis with his daughter – Quan. But Dumbear found that Quan played table tennis better and better recently, Dumbear wondered that Quan would defeat him someday. So he wants to know if he will win in the next match.
To simplify the problem, you can assume that the probability of Dumbear’s winning in each match is a constant number P (But Dumbear and you don’t know the number exactly). Of course 0 ≤ P ≤ 1. Dumbear had already taken N matches with Quan. And he won for M matches. He wants to know the expected probability of his winning for the next match. But Dumbear is very dumb, so he wants you to help him.
Input
Each line of the input file contains two numbers N and M (0 ≤ M ≤ N) indicate the number of the matches Dumbear had taken and the number of matches Dumbear had won. The last line of the input file contains two numbers "0 0".
Output
For each line, output two integers A and B indicates the expected probability of Dumbear’s winning for the next match is A / B. Make sure that gcd(A, B) = 1!
Sample Input
1 1
2 1
0 0
Sample Output
2 3
1 2
因为我是开发菜鸟，也不是很懂英语
所以还是没有你的要求 gcd(A,B)= 1! 这个是什么东西
Because I'm a rookie and I don't know English very well
So there's still no requirement for GCD (A,B)= 1! What is this thing