n,m = map(int,input().split())
abp = [tuple(map(int,input().split())) for _ in range(n)]
ans = 0; f = []
for a,b,p in abp:
    ans += 1/a
    if a>b:
        if p>1: f.append(((a-b)/(a*b*p),a,b,p))
        else: ans += 1/b-1/a
f.sort(reverse=True); l = len(f); s = [0]*(l+1)
for i in range(l): s[i+1] = s[i]-1/f[i][1]+1/f[i][2]
dp = [[0]*(m+1) for _ in range(l+1)]; dp[0][0] = 1
for i,(_,_,_,p) in enumerate(f):
    for j in range(m):
        dp[i+1][j] += dp[i][j]/p
        dp[i][j+1] += dp[i][j]*(1-1/p)
for i in range(l): ans += s[i]*dp[i][m]
for j in range(m): ans += s[l]*dp[l][j]
print(ans)