Prime Soccer#1580
You are watching a soccer match and want to calculate the probability that at least one of the two teams scores a prime number of goals. The game lasts minutes and is divided into five-minute intervals: from to minutes, from to minutes, and so on. In any five-minute interval, the probability that the first team scores a goal is percent, and the probability for the second team is percent. In each interval, each team can score at most one goal.
You are required to determine the probability that at least one of the teams scores a prime number of goals.
Each line contains two integers and (0 \leq \textbf{skillOfTeamA}, \textbf{skillOfTeamB} \leq 100), giving the probability, in percent, for the first and the second team to score a goal during a five-minute interval.
For each test case, output on a separate line the probability that at least one team scores a prime number of goals. Output each probability with digits after the decimal point.
Example 1