Problems
Lucky Five
Lucky Five
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\textbf{Pine forest. Pine Forest in the Vyatka province. 1872.} Kramskoy, each artist wrote of the "Pine forests", emphasizing full-scale accuracy of image: "The forest is wild and creek with glandular, dark-yellow water, which shows the entire bottom strewn with stones ..."However, it should be noted that at its Shishkin canvas several theatrical and forest landscape, offering a "spectacle of nature."
Some people feel lucky number five. They throw a few bones, and if five drops more than one fifth of the bone, then the day is considered lucky.
Throws \textbf{dice} the same bones, having the \textbf{sides} of the parties. Necessary to calculate the probability that the day will be happy. The probability of getting five at throwing dice with \textbf{sides} sides equal to \textbf{1 / sides}.
\InputFile
Each line is a separate test and contains the number of rolls the \textbf{dice} (\textbf{1} ≤ \textbf{dice} ≤ \textbf{20}) and the number of \textbf{sides} (\textbf{5} ≤ \textbf{sides} ≤ \textbf{10}) in them. \textbf{ Output}
For each test on a separate line to derive the probability that the day will be happy. Probability output of \textbf{6} characters after the decimal point.
Input example #1
1 6 5 6 20 10 1 10
Output example #1
0.166667 0.196245 0.043174 0.100000