#include<iostream>
#include<algorithm>
#include<cstdio>
#define INF (1<<30)
using namespace std;

int n,p,a[5001],b[5001],c[5001];
double dp[5001][15001],ans;//iコンテストまでにj解いた時の平均順位の最低値

int main(){
	cin>>n>>p;
	for(int i=1;i<=n;i++){
		cin>>a[i]>>b[i]>>c[i];
	}
	for(int i=1;i<=n;i++){
		for(int j=0;j<=3*i;j++){
			if(j==0){
				dp[i][j]=(dp[i-1][j]+a[i]);
			}
			else if(j==1){
				dp[i][j]=min((dp[i-1][0]+b[i]),(dp[i-1][1]+a[i]));
			}
			else if(j==2){
				dp[i][j]=min(min((dp[i-1][0]+c[i]),(dp[i-1][1]+b[i])),(dp[i-1][2]+a[i]));
			}
			else if(j==3*i){
				dp[i][j]=(dp[i-1][j-3]+1);
			}
			else if(j==3*i-1){
				dp[i][j]=min((dp[i-1][j-3]+1),(dp[i-1][j-2]+c[i]));
			}
			else if(j==3*i-2){
				dp[i][j]=min(min((dp[i-1][j-3]+1),(dp[i-1][j-2]+c[i])),(dp[i-1][j-1]+b[i]));
			}
			else{
				dp[i][j]=min(min(min(dp[i-1][j-3]+1,dp[i-1][j-2]+c[i]),dp[i-1][j-1]+b[i]),dp[i-1][j]+a[i]);
			}
		}
	}
	ans=(double)dp[n][p]/n;
	
	printf("%.10f\n",ans);
	return 0;
}