#define MOD_TYPE 2

#pragma region Macros

#include <bits/stdc++.h>
using namespace std;

#if 0
#include <boost/multiprecision/cpp_int.hpp>
#include <boost/multiprecision/cpp_dec_float.hpp>
using Int = boost::multiprecision::cpp_int;
using lld = boost::multiprecision::cpp_dec_float_100;
#endif
#if 1
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif
using ll = long long int;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pld = pair<ld, ld>;
template <typename Q_type>
using smaller_queue = priority_queue<Q_type, vector<Q_type>, greater<Q_type>>;

constexpr ll MOD = (MOD_TYPE == 1 ? (ll)(1e9 + 7) : 998244353);
constexpr int INF = (int)1e9 + 10;
constexpr ll LINF = (ll)4e18;
constexpr ld PI = acos(-1.0);
constexpr ld EPS = 1e-7;
constexpr int Dx[] = {0, 0, -1, 1, -1, 1, -1, 1, 0};
constexpr int Dy[] = {1, -1, 0, 0, -1, -1, 1, 1, 0};

#define REP(i, m, n) for (ll i = m; i < (ll)(n); ++i)
#define rep(i, n) REP(i, 0, n)
#define REPI(i, m, n) for (int i = m; i < (int)(n); ++i)
#define repi(i, n) REPI(i, 0, n)
#define MP make_pair
#define MT make_tuple
#define YES(n) cout << ((n) ? "YES" : "NO") << "\n"
#define Yes(n) cout << ((n) ? "Yes" : "No") << "\n"
#define possible(n) cout << ((n) ? "possible" : "impossible") << "\n"
#define Possible(n) cout << ((n) ? "Possible" : "Impossible") << "\n"
#define all(v) v.begin(), v.end()
#define NP(v) next_permutation(all(v))
#define dbg(x) cerr << #x << ":" << x << "\n";

struct io_init
{
  io_init()
  {
    cin.tie(0);
    ios::sync_with_stdio(false);
    cout << setprecision(30) << setiosflags(ios::fixed);
  };
} io_init;
template <typename T>
inline bool chmin(T &a, T b)
{
  if (a > b)
  {
    a = b;
    return true;
  }
  return false;
}
template <typename T>
inline bool chmax(T &a, T b)
{
  if (a < b)
  {
    a = b;
    return true;
  }
  return false;
}
inline ll CEIL(ll a, ll b)
{
  return (a + b - 1) / b;
}
template <typename A, size_t N, typename T>
inline void Fill(A (&array)[N], const T &val)
{
  fill((T *)array, (T *)(array + N), val);
}
template <typename T, typename U>
constexpr istream &operator>>(istream &is, pair<T, U> &p) noexcept
{
  is >> p.first >> p.second;
  return is;
}
template <typename T, typename U>
constexpr ostream &operator<<(ostream &os, pair<T, U> &p) noexcept
{
  os << p.first << " " << p.second;
  return os;
}
#pragma endregion

// --------------------------------------

namespace atcoder
{
  namespace internal
  {
    template <class T>
    struct simple_queue
    {
      std::vector<T> payload;
      int pos = 0;
      void reserve(int n) { payload.reserve(n); }
      int size() const { return int(payload.size()) - pos; }
      bool empty() const { return pos == int(payload.size()); }
      void push(const T &t) { payload.push_back(t); }
      T &front() { return payload[pos]; }
      void clear()
      {
        payload.clear();
        pos = 0;
      }
      void pop() { pos++; }
    };

  } // namespace internal

} // namespace atcoder

namespace atcoder
{
  template <class Cap>
  struct mf_graph
  {
  public:
    mf_graph() : _n(0) {}
    mf_graph(int n) : _n(n), g(n) {}

    int add_edge(int from, int to, Cap cap)
    {
      assert(0 <= from && from < _n);
      assert(0 <= to && to < _n);
      assert(0 <= cap);
      int m = int(pos.size());
      pos.push_back({from, int(g[from].size())});
      int from_id = int(g[from].size());
      int to_id = int(g[to].size());
      if (from == to)
        to_id++;
      g[from].push_back(_edge{to, to_id, cap});
      g[to].push_back(_edge{from, from_id, 0});
      return m;
    }

    struct edge
    {
      int from, to;
      Cap cap, flow;
    };

    edge get_edge(int i)
    {
      int m = int(pos.size());
      assert(0 <= i && i < m);
      auto _e = g[pos[i].first][pos[i].second];
      auto _re = g[_e.to][_e.rev];
      return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
    }
    std::vector<edge> edges()
    {
      int m = int(pos.size());
      std::vector<edge> result;
      for (int i = 0; i < m; i++)
      {
        result.push_back(get_edge(i));
      }
      return result;
    }
    void change_edge(int i, Cap new_cap, Cap new_flow)
    {
      int m = int(pos.size());
      assert(0 <= i && i < m);
      assert(0 <= new_flow && new_flow <= new_cap);
      auto &_e = g[pos[i].first][pos[i].second];
      auto &_re = g[_e.to][_e.rev];
      _e.cap = new_cap - new_flow;
      _re.cap = new_flow;
    }

    Cap flow(int s, int t)
    {
      return flow(s, t, std::numeric_limits<Cap>::max());
    }
    Cap flow(int s, int t, Cap flow_limit)
    {
      assert(0 <= s && s < _n);
      assert(0 <= t && t < _n);
      assert(s != t);

      std::vector<int> level(_n), iter(_n);
      internal::simple_queue<int> que;

      auto bfs = [&]() {
        std::fill(level.begin(), level.end(), -1);
        level[s] = 0;
        que.clear();
        que.push(s);
        while (!que.empty())
        {
          int v = que.front();
          que.pop();
          for (auto e : g[v])
          {
            if (e.cap == 0 || level[e.to] >= 0)
              continue;
            level[e.to] = level[v] + 1;
            if (e.to == t)
              return;
            que.push(e.to);
          }
        }
      };
      auto dfs = [&](auto self, int v, Cap up) {
        if (v == s)
          return up;
        Cap res = 0;
        int level_v = level[v];
        for (int &i = iter[v]; i < int(g[v].size()); i++)
        {
          _edge &e = g[v][i];
          if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
            continue;
          Cap d =
              self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
          if (d <= 0)
            continue;
          g[v][i].cap += d;
          g[e.to][e.rev].cap -= d;
          res += d;
          if (res == up)
            break;
        }
        return res;
      };

      Cap flow = 0;
      while (flow < flow_limit)
      {
        bfs();
        if (level[t] == -1)
          break;
        std::fill(iter.begin(), iter.end(), 0);
        while (flow < flow_limit)
        {
          Cap f = dfs(dfs, t, flow_limit - flow);
          if (!f)
            break;
          flow += f;
        }
      }
      return flow;
    }

    std::vector<bool> min_cut(int s)
    {
      std::vector<bool> visited(_n);
      internal::simple_queue<int> que;
      que.push(s);
      while (!que.empty())
      {
        int p = que.front();
        que.pop();
        visited[p] = true;
        for (auto e : g[p])
        {
          if (e.cap && !visited[e.to])
          {
            visited[e.to] = true;
            que.push(e.to);
          }
        }
      }
      return visited;
    }

  private:
    int _n;
    struct _edge
    {
      int to, rev;
      Cap cap;
    };
    std::vector<std::pair<int, int>> pos;
    std::vector<std::vector<_edge>> g;
  };

} // namespace atcoder

// https://theory-and-me.hatenablog.com/entry/2020/03/13/180935
struct submodular : atcoder::mf_graph<ll>
{
  int s, t, N, add_num;
  ll sum = 0;

  // 3変数の辺を追加する場合、頂点は多めにとる
  submodular(int n, int add = 2) : atcoder::mf_graph<ll>(n + add)
  {
    s = n, t = n + 1, N = n + add, add_num = n + 2;
  }
  void add_edge1(int i, ll c0, ll c1)
  {
    if (c0 <= c1)
      this->add_edge(s, i, c1 - c0), sum += c0;
    else
      this->add_edge(i, t, c0 - c1), sum += c1;
  }
  void add_edge2(int i, int j, ll c00, ll c01, ll c10, ll c11)
  {
    sum += c00;
    add_edge1(i, 0, c10 - c00);
    add_edge1(j, 0, c11 - c10);
    this->add_edge(i, j, c01 + c10 - c00 - c11);
  }
  void add_edge3(int i, int j, array<array<array<ll, 2>, 2>, 2> &c)
  {
    assert(add_num < N);
    // 後で書く
  }
  inline ll calc() { return sum + this->flow(s, t); }
};

void solve()
{
  int n;
  ll m;
  cin >> n >> m;
  vector<int> k(n);
  vector<ll> c(n);
  vector<vector<int>> a(n);
  vector<vector<ll>> b(n);
  submodular G(n);
  rep(i, n)
  {
    cin >> k[i] >> c[i];
    G.add_edge1(i, 0, -(m - c[i]));
    a[i].resize(k[i]);
    b[i].resize(k[i]);
    rep(j, k[i]) cin >> a[i][j], a[i][j]--;
    rep(j, k[i]) cin >> b[i][j];
    rep(j, k[i])
    {
      G.add_edge2(i, a[i][j], 0, 0, 0, -b[i][j]);
    }
  }
  cout << -G.calc() << "\n";
}

int main()
{
  solve();
}