n,m=map(int,input().split()) 
abp=[map(int,input().split()) for _ in range(n)]
a,b,p=[list(i) for i in zip(*abp)]

dp=[[0 for j in range(m+1)] for i in range(2**n)]
for i in range(2**n):
    for j in range(m+1):
        for k in range(n):
            if (i>>k)%2:
                if dp[i-2**k][j]+1/a[k]>dp[i][j]:
                    dp[i][j]=dp[i-2**k][j]+1/a[k]
            if j:
                if (i>>k)%2:
                    if (dp[i-2**k][j]+1/b[k])/p[k]+dp[i][j-1]*(1-1/p[k])>dp[i][j]:
                        dp[i][j]=(dp[i-2**k][j]+1/b[k])/p[k]+dp[i][j-1]*(1-1/p[k])
print(dp[2**n-1][m])