import random
import time

nn, m = map(int,input().split())
d = []

st = time.time()

n = 0
ans = 0
nans = 0
for i in range(nn):
	a, b, p = map(int,input().split())
	if a <= b:
		ans += 1 / a
		nans += 1 / a
	elif p == 1:
		ans += 1 / b
		nans += 1 / b
	else:
		d.append((a, b, p))
		n += 1

assert(m == 40)
assert(n == 12)

d.sort(key= lambda x:(-(x[0]-x[1])/(x[1]*x[0]*x[2]), x[0]))

dp = [0.0] * (n+1)
dp[0] = 1.0
for i in range(m):
	ndp = [0.0] * (n+1)
	for j in range(n+1):
		tar = 1.0
		for k in range(j, n):
			ndp[k] += dp[j] * tar * (1 - 1/d[k][2])
			tar *= 1/d[k][2]
		ndp[n] += dp[j] * tar
	dp = ndp

tmp = 0.0
for i in range(n): tmp += 1 / d[i][0]

#print(tmp)
for i in range(n+1):
	ans += tmp * dp[i]
	if i < n:
		tmp -= 1 / d[i][0]
		tmp += 1 / d[i][1]
	#print(tmp, dp[i])

nnans = nans

	
print(ans)