#include<bits/stdc++.h>
namespace {
#pragma GCC diagnostic ignored "-Wunused-function"
#include<atcoder/all>
#pragma GCC diagnostic warning "-Wunused-function"
using namespace std;
using namespace atcoder;
#define rep(i,n) for(int i = 0; i < (int)(n); i++)
#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--)
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
template<class T> bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; }
template<class T> bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; }
using ll = long long;
using P = pair<int,int>;
using VI = vector<int>;
using VVI = vector<VI>;
using VL = vector<ll>;
using VVL = vector<VL>;

int n, m;
struct S {
  double a, b, p;
};
vector<S> d;

double e[1 << 12][41];
bool valid[1 << 12][41];

double dfs(int s, int w) {
  if (s == (1 << n) - 1) return 0;
  if (valid[s][w]) return e[s][w];
  valid[s][w] = true;
  if (w == m) {
    double res = 0;
    rep(i, n) if (!(s >> i & 1)) res += d[i].a;
    return e[s][w] = res;
  }
  double mx = 0;
  rep(i, n) if (!(s >> i & 1)) {
    auto [a, b, p] = d[i];
    chmax(mx, a + dfs(s | 1 << i, w));
    chmax(mx, p * (b + dfs(s | 1 << i, w)) + (1 - p) * dfs(s, w + 1));
  }
  return e[s][w] = mx;
}

} int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  cin >> n >> m;
  d.resize(n);
  for (auto& [a, b, p] : d) {
    int ai, bi, pi;
    cin >> ai >> bi >> pi;
    a = 1.0 / ai;
    b = 1.0 / bi;
    p = 1.0 / pi;
  }
  double ans = dfs(0, 0);
  cout << fixed << setprecision(15) << ans << endl;
}