import sys sys.setrecursionlimit(10**6) int1 = lambda x: int(x)-1 p2D = lambda x: print(*x, sep="\n") def II(): return int(sys.stdin.buffer.readline()) def FI(): return float(sys.stdin.buffer.readline()) def MI(): return map(int, sys.stdin.buffer.readline().split()) def MF(): return map(float, sys.stdin.buffer.readline().split()) def MI1(): return map(int1, sys.stdin.buffer.readline().split()) def LI(): return list(map(int, sys.stdin.buffer.readline().split())) def LI1(): return list(map(int1, sys.stdin.buffer.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def BI(): return sys.stdin.buffer.readline().rstrip() def SI(): return sys.stdin.buffer.readline().rstrip().decode() dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] inf = 10**16 # md = 998244353 md = 10**9+7 def merge(f1,r1,f2,r2): s=1/(1-r1*r2) return f1*f2*s,r+r2*f1*f1*s n = II() r0 = FI() f0 = FI() if r0==0: print(0) exit() if f0==0: print(r0) exit() f,r=f0,r0 for _ in range(n-1): f,r=merge(f,r,f0,r0) print(r)