#include <bits/stdc++.h>
using namespace std;

int main(void)
{
    int n,m;
    cin >> n >> m;
    vector<int> a(n);
    vector<int> b(n);
    vector<int> p(n);
    for(int i=0;i<n;++i){
        cin >> a[i] >> b[i] >> p[i];
    }
    vector<int> pos(n);
    for(int i=0;i<n;++i){
        pos[i]=i;
    }
    sort(pos.begin(),pos.end(),[&](auto const & lhs, auto const & rhs){
        return (1.0/b[lhs]-1.0/a[lhs])*(p[rhs]-1.0)<(1.0/b[rhs]-1.0/a[rhs])*(p[lhs]-1.0);
    });
    vector<vector<double>> dp(n+1,vector<double>(m+1));
    for(int i=0;i<n;++i){
        for(int j=0;j<=m;++j){
            dp[i+1][j]=max(dp[i][j]+1.0/a[pos[i]],dp[i+1][j]);
            if(j){
                dp[i+1][j]=max((dp[i][j]+1.0/b[pos[i]])/p[pos[i]]+dp[i+1][j-1]*(1.0-1.0/p[pos[i]]),dp[i+1][j]);
            }
        }
    }
    cout << setprecision(15) << dp[n][m] << endl;
    return 0;
}