PROBLEM STATEMENT
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 team A will score a goal, and a skillOfTeamB 
percent probability that teamB will score a goal.  Assume that each team will score at most one 
goal within each interval.  Return the probability that at least one team will have a prime number 
as its final score.

DEFINITION
Class:PrimeSoccer
Method:getProbability
Parameters:int, int
Returns:double
Method signature:double getProbability(int skillOfTeamA, int skillOfTeamB)


NOTES
-The returned value must be accurate to within a relative or absolute value of 1E-9.
-A prime number is a number that has exactly two divisors, 1 and itself. Note that 0 and 1 are not 
prime.


CONSTRAINTS
-skillOfTeamA will be between 0 and 100, inclusive.
-skillOfTeamB will be between 0 and 100, inclusive.


EXAMPLES

0)
50
50

Returns: 0.5265618908306351



1)
100
100

Returns: 0.0

Both teams will score a goal in each interval, so the final result will be 18 to 18.

2)
12
89

Returns: 0.6772047168840167



 This problem statement is the exclusive and proprietary property of TopCoder, Inc. Any unauthorized use or reproduction of this information without the prior written consent of TopCoder, Inc. is strictly prohibited. (c)2010, TopCoder, Inc. All rights reserved.