Recently, a total of 786 girls in Gensokyo sat in a circle, 203 of them were selected as the characters of next Touhou ACT game by draw. Unfortunately, Letty Whiterock didn't win, and she thought it was strange that the nine girls (Reimu, Yukari, Marisa, Alice, Sakuya, Remilia, Youmu, Yuyuko and Sanae) sitting adjacently all won. The expert (proclaimed by herself) Baka⑨ Cirno (チルノ) claimed that "the probability of this kind of combinations is only 0.000,atai,saikyou,...%, so somebody must have cheated!". Of course, nobody trusts the probability claimed by Cirno, but girls do begin to doubt the draw results.
Assume that m girls out of n are selected in eqaul probability, it will be helpful if you can calculate the right probability that there are nine adjacent girls. Remember that the n girls sit in a circle, so the first one is adjacent to the last one.
Input
There are multiple cases. Each cases consists of two integers: 1 ≤ n ≤ 1000 and 1 ≤ m ≤ n.
Output
For each case, output the probability. Answer having an absolute error less than 1e-5 will be accepted. See sample for more details.
Sample Input
10 9
17 15
18 16
786 203
Sample Output
100.000000%
87.500000%
94.117647%
0.263488%
