import sys N=int(input()) q=float(input()) p=float(input()) if N==1: print(q) sys.exit() dp=[0.0]*N dp1=[0.0]*N dp[0]=1 ans=0 for k in range(1000): ndp=[0.0]*N ndp1=[0.0]*N for i in range(1,N): ndp[i]=p*dp[i-1]+q*dp1[i] ndp1[N-1]=q*dp[N-1] for i in range(N-2,-1,-1): ndp1[i]=p*dp1[i+1]+q*dp[i] dp=ndp dp1=ndp1 ans+=dp1[0] print(ans)