Dice Throwing — Eolymp

Input

The input consists of several test cases. Each test case contains two integers $n$ ( $1 \leq n \leq 24$ 1 \leq n \leq 24) and $x$ ( $0 \leq x < 150$ 0 \leq x < 150), as described above. The last test case contains $n = 0$ n = 0, $x = 0$ x = 0 and should not be processed.

Output

For each test case, output the required probability as an irreducible proper fraction in the format shown in the sample. All numbers in the output are unsigned $64$ -bit integers.

Examples

Example 1

Loading