/* Author:zeke pass System Test! GET AC!! */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using ll = long long; using ld = long double; using namespace std; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define all(x) (x).begin(), (x).end() #define rep3(var, min, max) for (ll(var) = (min); (var) < (max); ++(var)) #define repi3(var, min, max) for (ll(var) = (max)-1; (var) + 1 > (min); --(var)) #define Mp(a, b) make_pair((a), (b)) #define F first #define S second #define Icin(s) \ ll(s); \ cin >> (s); #define Scin(s) \ ll(s); \ cin >> (s); template bool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T &a, const T &b) { if (b < a) { a = b; return 1; } return 0; } typedef pair P; typedef vector V; typedef vector VV; typedef vector

VP; ll mod = 1e9 + 7; ll MOD = 1e9 + 7; ll INF = 1e18; int main() { cin.tie(0); ios::sync_with_stdio(false); ll n, p; cin >> n >> p; // vector> dp(n + 1, vector(p + 1, 2e9)); V dp(p + 1, 1e18); // dp[0][p] = 0; dp[p] = 0; vector> vec(n, vector(3)); rep(i, n) rep(j, 3) cin >> vec[i][j]; rep(i, n) { V dp2(p + 1, 1e18); rep(j, p + 1) { if (j >= 3) { // chmin(dp[i + 1][j - 3], dp[i][j] + 1); chmin(dp2[j - 3], dp[j] + 1); } if (j >= 2) { // chmin(dp[i + 1][j - 2], dp[i][j] + vec[i][2]); chmin(dp2[j - 2], dp[j] + vec[i][2]); } if (j >= 1) { // chmin(dp[i + 1][j - 1], dp[i][j] + vec[i][1]); chmin(dp2[j - 1], dp[j] + vec[i][1]); } // chmin(dp[i + 1][j], dp[i][j] + vec[i][0]); chmin(dp2[j], dp[j] + vec[i][0]); } rep(j,p+1){ dp[j] = dp2[j]; } } cout << setprecision(10) << (ld)dp[0] / n << endl; }