# Prime Soccer

# Prime Soccer

You are watching a soccer match, and you wonder what the probability is that at least one of the two teams will score a prime number of goals. The game lasts **90** minutes, and to simplify the analysis, we will split the match into five-minute intervals. The first interval is the first five minutes, the second interval is the next five minutes, and so on. During each interval, there is a **skillOfTeamA** percent probability that first team will score a goal, and a **skillOfTeamB** percent probability that second team will score a goal. Assume that each team will score at most one goal within each interval. Find the probability that at least one team will have a prime number as its final score.

** Input**

Each line contains two integers **skillOfTeamA** and **skillOfTeamB** (**0 ≤****skillOfTeamA**, **skillOfTeamB****≤ 100**), describing the percent probability to score a goal for the first and the second team during the five minutes interval.

** Output**

For each test case print in a separate line the probability that at least one team will have a prime number as its final score. Print the probabilities with **4** digits after the decimal point.

50 50 100 100 12 89

0.5266 0.0000 0.6772