import sys input = sys.stdin.readline N,P=map(int,input().split()) DP=[1<<30]*(P+1) DP[0]=0 for i in range(N): a,b,c=map(int,input().split()) NDP=[1<<30]*(P+1) for j in range(P+1): if DP[j]>=(1<<30): continue if j<=P: NDP[j]=min(NDP[j],DP[j]+a) if j+1<=P: NDP[j+1]=min(NDP[j+1],DP[j]+b) if j+2<=P: NDP[j+2]=min(NDP[j+2],DP[j]+c) if j+3<=P: NDP[j+3]=min(NDP[j+3],DP[j]+1) DP=NDP print(DP[P]/N)