#include <cstdio>
#include <iostream>
#include <string>
#include <vector>
#include <sstream>
#include <map>
#include <set>
#include <queue>
#include <algorithm>
#include <cmath>
#include <cstdlib>
#include <cstring>
#include <typeinfo>
#include <numeric>
#include <functional>
#include <unordered_map>
#include <bitset>
#include <stack>


using namespace std;
using ll = long long;
using ull = unsigned long long;

const int INF = 1e9;
const ll MOD = 1e9 + 7;

#define REP(i, n) for(ll i = 0; i < n; i++)




int main() {
    int n, p;
    cin >> n >> p;
    vector<int> a(n), b(n), c(n);
    REP(i, n){
        cin >> a[i] >> b[i] >> c[i];
    }
    
    vector<vector<int>> dp(n, vector<int>(p + 4, INF));
    dp[0][0] = a[0];
    dp[0][1] = b[0];
    dp[0][2] = c[0];
    dp[0][3] = 1;
    for(ll i = 0; i < n - 1; i++){
        for(ll j = 0; j <= p; j++){
            if(j <= p - 3){
                dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + a[i + 1]);
                dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + b[i + 1]);
                dp[i + 1][j + 2] = min(dp[i + 1][j + 2], dp[i][j] + c[i + 1]);
                dp[i + 1][j + 3] = min(dp[i + 1][j + 3], dp[i][j] + 1);
            }
            else if(j == p - 2){
                dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + a[i + 1]);
                dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + b[i + 1]);
                dp[i + 1][j + 2] = min(dp[i + 1][j + 2], dp[i][j] + c[i + 1]);
            }
            else if(j == p - 1){
                dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + a[i + 1]);
                dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + b[i + 1]);
            }
            else{
                dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + a[i + 1]);
            }
        }
    }
    
    printf("%.7lf\n", (double)dp[n - 1][p] / (double)n);
}