#line 1 "/home/maspy/compro/library/my_template.hpp"
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")

#include <bits/stdc++.h>

using namespace std;

using ll = long long;
using pi = pair<ll, ll>;
using vi = vector<ll>;
using u32 = unsigned int;
using u64 = unsigned long long;
using i128 = __int128;

template <class T>
using vc = vector<T>;
template <class T>
using vvc = vector<vc<T>>;
template <class T>
using vvvc = vector<vvc<T>>;
template <class T>
using vvvvc = vector<vvvc<T>>;
template <class T>
using vvvvvc = vector<vvvvc<T>>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using pqg = priority_queue<T, vector<T>, greater<T>>;

#define vec(type, name, ...) vector<type> name(__VA_ARGS__)
#define vv(type, name, h, ...) \
  vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define vvv(type, name, h, w, ...)   \
  vector<vector<vector<type>>> name( \
      h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...)       \
  vector<vector<vector<vector<type>>>> name( \
      a, vector<vector<vector<type>>>(       \
             b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))

// https://trap.jp/post/1224/
#define FOR1(a) for (ll _ = 0; _ < ll(a); ++_)
#define FOR2(i, a) for (ll i = 0; i < ll(a); ++i)
#define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i)
#define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c))
#define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i)
#define FOR4_R(i, a, b, c) for (ll i = (b)-1; i >= ll(a); i -= (c))
#define overload4(a, b, c, d, e, ...) e
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FOR_R(...) \
  overload4(__VA_ARGS__, FOR4_R, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__)

#define FOR_subset(t, s) for (ll t = s; t >= 0; t = (t == 0 ? -1 : (t - 1) & s))
#define all(x) x.begin(), x.end()
#define len(x) ll(x.size())
#define elif else if

#define eb emplace_back
#define mp make_pair
#define mt make_tuple
#define fi first
#define se second

#define stoi stoll

ll SUM(vector<int> &A) {
  ll sum = 0;
  for (auto &&a: A) sum += a;
  return sum;
}

template <typename T>
T SUM(vector<T> &A) {
  T sum = T(0);
  for (auto &&a: A) sum += a;
  return sum;
}

#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
#define LB(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define UB(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end())

int popcnt(int x) { return __builtin_popcount(x); }
int popcnt(u32 x) { return __builtin_popcount(x); }
int popcnt(ll x) { return __builtin_popcountll(x); }
int popcnt(u64 x) { return __builtin_popcountll(x); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2)
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2)
int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }

template <typename T>
T pick(deque<T> &que) {
  assert(que.size());
  T a = que.front();
  que.pop_front();
  return a;
}

template <typename T>
T pick(pq<T> &que) {
  assert(que.size());
  T a = que.top();
  que.pop();
  return a;
}

template <typename T>
T pick(pqg<T> &que) {
  assert(que.size());
  T a = que.top();
  que.pop();
  return a;
}

template <typename T>
T pick(vc<T> &que) {
  assert(que.size());
  T a = que.back();
  que.pop_back();
  return a;
}

template <typename T, typename U>
T ceil(T x, U y) {
  return (x > 0 ? (x + y - 1) / y : x / y);
}

template <typename T, typename U>
T floor(T x, U y) {
  return (x > 0 ? x / y : (x - y + 1) / y);
}

template <typename T, typename U>
pair<T, T> divmod(T x, U y) {
  T q = floor(x, y);
  return {q, x - q * y};
}

ll binary_search(function<bool(ll)> check, ll ok, ll ng) {
  assert(check(ok));
  while (abs(ok - ng) > 1) {
    auto x = (ng + ok) / 2;
    if (check(x))
      ok = x;
    else
      ng = x;
  }
  return ok;
}

template <typename F>
double binary_search_real(F check, double ok, double ng, int iter = 100) {
  FOR(iter) {
    double x = (ok + ng) / 2;
    if (check(x)) {
      ok = x;
    } else {
      ng = x;
    }
  }
  return (ok + ng) / 2;
}

template <class T, class S>
inline bool chmax(T &a, const S &b) {
  return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
  return (a > b ? a = b, 1 : 0);
}

vi s_to_vi(const string &S, char first_char) {
  vi A(S.size());
  FOR(i, S.size()) { A[i] = S[i] - first_char; }
  return A;
}

template <typename T>
vector<T> cumsum(vector<T> &A, int off = 1) {
  int N = A.size();
  vector<T> B(N + 1);
  FOR(i, N) { B[i + 1] = B[i] + A[i]; }
  if (off == 0) B.erase(B.begin());
  return B;
}

template <typename CNT, typename T>
vc<CNT> bincount(const vc<T> &A, int size) {
  vc<CNT> C(size);
  for (auto &&x: A) { ++C[x]; }
  return C;
}

template <typename T>
vector<int> argsort(const vector<T> &A) {
  // stable
  vector<int> ids(A.size());
  iota(all(ids), 0);
  sort(all(ids),
       [&](int i, int j) { return A[i] < A[j] || (A[i] == A[j] && i < j); });
  return ids;
}

// A[I[0]], A[I[1]], ...
template <typename T>
vc<T> rearrange(const vc<T> &A, const vc<int> &I) {
  int n = len(I);
  vc<T> B(n);
  FOR(i, n) B[i] = A[I[i]];
  return B;
}
#line 1 "/home/maspy/compro/library/other/io.hpp"
// based on yosupo's fastio
#include <unistd.h>

namespace detail {
template <typename T, decltype(&T::is_modint) = &T::is_modint>
std::true_type check_value(int);
template <typename T>
std::false_type check_value(long);
} // namespace detail

template <typename T>
struct is_modint : decltype(detail::check_value<T>(0)) {};
template <typename T>
using is_modint_t = enable_if_t<is_modint<T>::value>;
template <typename T>
using is_not_modint_t = enable_if_t<!is_modint<T>::value>;

struct Scanner {
  FILE *fp;
  char line[(1 << 15) + 1];
  size_t st = 0, ed = 0;
  void reread() {
    memmove(line, line + st, ed - st);
    ed -= st;
    st = 0;
    ed += fread(line + ed, 1, (1 << 15) - ed, fp);
    line[ed] = '\0';
  }
  bool succ() {
    while (true) {
      if (st == ed) {
        reread();
        if (st == ed) return false;
      }
      while (st != ed && isspace(line[st])) st++;
      if (st != ed) break;
    }
    if (ed - st <= 50) {
      bool sep = false;
      for (size_t i = st; i < ed; i++) {
        if (isspace(line[i])) {
          sep = true;
          break;
        }
      }
      if (!sep) reread();
    }
    return true;
  }
  template <class T, enable_if_t<is_same<T, string>::value, int> = 0>
  bool read_single(T &ref) {
    if (!succ()) return false;
    while (true) {
      size_t sz = 0;
      while (st + sz < ed && !isspace(line[st + sz])) sz++;
      ref.append(line + st, sz);
      st += sz;
      if (!sz || st != ed) break;
      reread();
    }
    return true;
  }
  template <class T, enable_if_t<is_integral<T>::value, int> = 0>
  bool read_single(T &ref) {
    if (!succ()) return false;
    bool neg = false;
    if (line[st] == '-') {
      neg = true;
      st++;
    }
    ref = T(0);
    while (isdigit(line[st])) { ref = 10 * ref + (line[st++] & 0xf); }
    if (neg) ref = -ref;
    return true;
  }
  template <class T, is_modint_t<T> * = nullptr>
  bool read_single(T &ref) {
    long long val = 0;
    bool f = read_single(val);
    ref = T(val);
    return f;
  }
  bool read_single(double &ref) {
    string s;
    if (!read_single(s)) return false;
    ref = std::stod(s);
    return true;
  }
  bool read_single(char &ref) {
    string s;
    if (!read_single(s) || s.size() != 1) return false;
    ref = s[0];
    return true;
  }
  template <class T>
  bool read_single(vector<T> &ref) {
    for (auto &d: ref) {
      if (!read_single(d)) return false;
    }
    return true;
  }
  template <class T, class U>
  bool read_single(pair<T, U> &p) {
    return (read_single(p.first) && read_single(p.second));
  }
  template <class A, class B, class C>
  bool read_single(tuple<A, B, C> &p) {
    return (read_single(get<0>(p)) && read_single(get<1>(p))
            && read_single(get<2>(p)));
  }
  template <class A, class B, class C, class D>
  bool read_single(tuple<A, B, C, D> &p) {
    return (read_single(get<0>(p)) && read_single(get<1>(p))
            && read_single(get<2>(p)) && read_single(get<3>(p)));
  }
  void read() {}
  template <class H, class... T>
  void read(H &h, T &... t) {
    bool f = read_single(h);
    assert(f);
    read(t...);
  }
  Scanner(FILE *fp) : fp(fp) {}
};

struct Printer {
  Printer(FILE *_fp) : fp(_fp) {}
  ~Printer() { flush(); }

  static constexpr size_t SIZE = 1 << 15;
  FILE *fp;
  char line[SIZE], small[50];
  size_t pos = 0;
  void flush() {
    fwrite(line, 1, pos, fp);
    pos = 0;
  }
  void write(const char &val) {
    if (pos == SIZE) flush();
    line[pos++] = val;
  }
  template <class T, enable_if_t<is_integral<T>::value, int> = 0>
  void write(T val) {
    if (pos > (1 << 15) - 50) flush();
    if (val == 0) {
      write('0');
      return;
    }
    if (val < 0) {
      write('-');
      val = -val; // todo min
    }
    size_t len = 0;
    while (val) {
      small[len++] = char(0x30 | (val % 10));
      val /= 10;
    }
    for (size_t i = 0; i < len; i++) { line[pos + i] = small[len - 1 - i]; }
    pos += len;
  }
  void write(const string &s) {
    for (char c: s) write(c);
  }
  void write(const char *s) {
    size_t len = strlen(s);
    for (size_t i = 0; i < len; i++) write(s[i]);
  }
  void write(const double &x) {
    ostringstream oss;
    oss << fixed << setprecision(15) << x;
    string s = oss.str();
    write(s);
  }
  void write(const long double &x) {
    ostringstream oss;
    oss << fixed << setprecision(15) << x;
    string s = oss.str();
    write(s);
  }
  template <class T, is_modint_t<T> * = nullptr>
  void write(T &ref) {
    write(ref.val);
  }
  template <class T>
  void write(const vector<T> &val) {
    auto n = val.size();
    for (size_t i = 0; i < n; i++) {
      if (i) write(' ');
      write(val[i]);
    }
  }
  template <class T, class U>
  void write(const pair<T, U> &val) {
    write(val.first);
    write(' ');
    write(val.second);
  }
  template <class A, class B, class C>
  void write(const tuple<A, B, C> &val) {
    auto &[a, b, c] = val;
    write(a), write(' '), write(b), write(' '), write(c);
  }
  template <class A, class B, class C, class D>
  void write(const tuple<A, B, C, D> &val) {
    auto &[a, b, c, d] = val;
    write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d);
  }
  template <class A, class B, class C, class D, class E>
  void write(const tuple<A, B, C, D, E> &val) {
    auto &[a, b, c, d, e] = val;
    write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d), write(' '), write(e);
  }
  template <class A, class B, class C, class D, class E, class F>
  void write(const tuple<A, B, C, D, E, F> &val) {
    auto &[a, b, c, d, e, f] = val;
    write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d), write(' '), write(e), write(' '), write(f);
  }
  template <class T, size_t S>
  void write(const array<T, S> &val) {
    auto n = val.size();
    for (size_t i = 0; i < n; i++) {
      if (i) write(' ');
      write(val[i]);
    }
  }
  void write(i128 val) {
    string s;
    bool negative = 0;
    if(val < 0){
      negative = 1;
      val = -val;
    }
    while (val) {
      s += '0' + int(val % 10);
      val /= 10;
    }
    if(negative) s += "-";
    reverse(all(s));
    if (len(s) == 0) s = "0";
    write(s);
  }
};

Scanner scanner = Scanner(stdin);
Printer printer = Printer(stdout);

void flush() { printer.flush(); }
void print() { printer.write('\n'); }
template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
  printer.write(head);
  if (sizeof...(Tail)) printer.write(' ');
  print(forward<Tail>(tail)...);
}

void read() {}
template <class Head, class... Tail>
void read(Head &head, Tail &... tail) {
  scanner.read(head);
  read(tail...);
}

#define INT(...)   \
  int __VA_ARGS__; \
  read(__VA_ARGS__)
#define LL(...)   \
  ll __VA_ARGS__; \
  read(__VA_ARGS__)
#define STR(...)      \
  string __VA_ARGS__; \
  read(__VA_ARGS__)
#define CHAR(...)      \
  char __VA_ARGS__; \
  read(__VA_ARGS__)
#define DBL(...)      \
  double __VA_ARGS__; \
  read(__VA_ARGS__)

#define VEC(type, name, size) \
  vector<type> name(size);    \
  read(name)
#define VV(type, name, h, w)                     \
  vector<vector<type>> name(h, vector<type>(w)); \
  read(name)

void YES(bool t = 1) { print(t ? "YES" : "NO"); }
void NO(bool t = 1) { YES(!t); }
void Yes(bool t = 1) { print(t ? "Yes" : "No"); }
void No(bool t = 1) { Yes(!t); }
void yes(bool t = 1) { print(t ? "yes" : "no"); }
void no(bool t = 1) { yes(!t); }
#line 1 "/home/maspy/compro/library/flow/maxflow.hpp"
template <typename Cap>
struct MaxFlowGraph {
  struct Edge {
    int to, rev;
    Cap cap;
  };

  const Cap INF;
  int N;
  vvc<Edge> G;
  vc<int> prog, level;
  Cap flow_ans;
  bool calculated;

  MaxFlowGraph(int N, Cap INF) : INF(INF), N(N), calculated(0) {}

  void add(int frm, int to, Cap cap) {
    assert(0 <= frm && frm < N);
    assert(0 <= to && to < N);
    assert(Cap(0) <= cap);
    if (len(G) < N) G.resize(N);
    G[frm].eb(Edge{to, (int)G[to].size(), cap});
    G[to].eb(Edge{frm, (int)G[frm].size() - 1, 0});
  }

  Cap flow(int source, int sink) {
    if (calculated) return flow_ans;
    calculated = true;
    chmax(N, source + 1);
    chmax(N, sink + 1);
    G.resize(N);
    flow_ans = 0;
    while (set_level(source, sink)) {
      fill(all(prog), 0);
      prog.assign(N, 0);
      while (1) {
        Cap x = flow_dfs(source, sink, INF);
        if (x == 0) break;
        flow_ans += x;
        chmin(flow_ans, INF);
        if (flow_ans == INF) return flow_ans;
      }
    }
    return flow_ans;
  }

  // 最小カットの値および、カットを表す 01 列を返す
  pair<Cap, vc<int>> cut(int source, int sink) {
    Cap f = flow(source, sink);
    vc<int> res(N);
    FOR(v, N) res[v] = (level[v] >= 0 ? 0 : 1);
    return {f, res};
  }

  // 残余グラフの辺
  vc<tuple<int, int, Cap>> get_edges() {
    vc<tuple<int, int, Cap>> edges;
    FOR(v, N) for (auto&& e: G[v]) { edges.eb(v, e.to, e.cap); }
    return edges;
  }

private:
  bool set_level(int source, int sink) {
    level.assign(N, -1);
    level[source] = 0;
    queue<int> que;
    que.push(source);
    while (!que.empty()) {
      int v = que.front();
      que.pop();
      for (auto&& e: G[v]) {
        if (e.cap > 0 && level[e.to] == -1) {
          level[e.to] = level[v] + 1;
          if (e.to == sink) return true;
          que.push(e.to);
        }
      }
    }
    return false;
  }

  Cap flow_dfs(int v, int sink, Cap lim) {
    if (v == sink) return lim;
    Cap res = 0;
    for (int& i = prog[v]; i < (int)G[v].size(); ++i) {
      auto& e = G[v][i];
      if (e.cap > 0 && level[e.to] == level[v] + 1) {
        Cap a = flow_dfs(e.to, sink, min(lim, e.cap));
        if (a > 0) {
          e.cap -= a;
          G[e.to][e.rev].cap += a;
          res += a;
          lim -= a;
          if (lim == 0) break;
        }
      }
    }
    return res;
  }
};
#line 2 "/home/maspy/compro/library/flow/binary_optimization.hpp"

template <typename T, bool MINIMIZE>
struct Binary_Optimization {
  int n;
  int nxt;
  int source, sink;
  T base_cost;
  T INF;
  map<pair<int, int>, T> edges;

  Binary_Optimization(int n, T INF) : n(n), base_cost(0), INF(INF) {
    source = n;
    sink = n + 1;
    nxt = n + 2;
  }

  // xi を 0, 1 にするときにかかるコストを追加する。
  void add_1(int i, T x0, T x1) {
    assert(0 <= i && i < n);
    if (!MINIMIZE) { x0 = -x0, x1 = -x1; }
    _add_1(i, x0, x1);
  }

  // (xi,xj) = (00,01,10,11) とするときにかかるコストを追加する。
  // コストが劣モ x00 + x11 <= x10 + x10 になっている必要がある。
  // 特に、対角成分に利得を与えることができる。
  void add_2(int i, int j, T x00, T x01, T x10, T x11) {
    assert(i != j);
    assert(0 <= i && i < n);
    assert(0 <= j && j < n);
    if (!MINIMIZE) {
      x00 = -x00, x01 = -x01;
      x10 = -x10, x11 = -x11;
    }
    _add_2(i, j, x00, x01, x10, x11);
  }

  // (xi,xj,xk) = (000,001,010,011,100,101,110,111)
  // とするときにかかるコストを追加する。劣モになっている必要がある。
  // 特に、000 や 111 に利得を与えることができる。
  void add_3(int i, int j, int k, T x000, T x001, T x010, T x011, T x100,
             T x101, T x110, T x111) {
    assert(i != j && i != k && j != k);
    assert(0 <= i && i < n);
    assert(0 <= j && j < n);
    assert(0 <= k && k < n);
    if (!MINIMIZE) {
      x000 = -x000, x001 = -x001;
      x010 = -x010, x011 = -x011;
      x100 = -x100, x101 = -x101;
      x110 = -x110, x111 = -x111;
    }
    _add_3(i, j, k, x000, x001, x010, x011, x100, x101, x110, x111);
  }

  // 最小値および、01 列を返す
  pair<T, vc<int>> calc() {
    MaxFlowGraph<T> G(nxt, INF);
    ll e = 0;
    for (auto&& [key, cap]: edges) {
      auto [frm, to] = key;
      G.add(frm, to, cap);
      ++e;
    }

    auto [val, cut] = G.cut(source, sink);
    val += base_cost;
    chmin(val, INF);
    cut.resize(n);
    if (!MINIMIZE) val = -val;
    return {val, cut};
  }

  void debug() {
    print("base_cost", base_cost);
    print("source=", source, "sink=", sink);
    for (auto&& [key, cap]: edges) print(key, cap);
  }

private:
  void add_edge(int i, int j, T t) {
    assert(t >= 0);
    if (t == 0) return;
    pair<int, int> key = mp(i, j);
    edges[key] += t;
    chmin(edges[key], INF);
  }

  void _add_1(int i, T x0, T x1) {
    if (x0 <= x1) {
      base_cost += x0;
      add_edge(source, i, x1 - x0);
    } else {
      base_cost += x1;
      add_edge(i, sink, x0 - x1);
    }
  }

  void _add_2(int i, int j, T x00, T x01, T x10, T x11) {
    assert(x00 + x11 <= x01 + x10);
    _add_1(i, x00, x10);
    _add_1(j, 0, x11 - x10);
    add_edge(i, j, x01 + x10 - x00 - x11);
  }

  void _add_3(int i, int j, int k, T x000, T x001, T x010, T x011, T x100,
              T x101, T x110, T x111) {
    T p = x000 - x100 - x010 - x001 + x110 + x101 + x011 - x111;
    if (p > 0) {
      base_cost += x000;
      _add_1(i, 0, x100 - x000);
      _add_1(j, 0, x010 - x000);
      _add_1(k, 0, x001 - x000);
      _add_2(i, j, 0, 0, 0, x000 + x110 - x100 - x010);
      _add_2(i, k, 0, 0, 0, x000 + x101 - x100 - x001);
      _add_2(j, k, 0, 0, 0, x000 + x011 - x010 - x001);
      // あとは、111 のときに利得 p を追加する
      base_cost -= p;
      // 111 以外だとコスト p
      add_edge(i, nxt, p);
      add_edge(j, nxt, p);
      add_edge(k, nxt, p);
      add_edge(nxt, sink, p);
      ++nxt;
    } else {
      p = -p;
      base_cost += x111;
      _add_1(i, x011 - x111, 0);
      _add_1(i, x101 - x111, 0);
      _add_1(i, x110 - x111, 0);
      _add_2(i, j, x111 + x001 - x011 - x101, 0, 0, 0);
      _add_2(i, k, x111 + x010 - x011 - x110, 0, 0, 0);
      _add_2(j, k, x111 + x100 - x101 - x110, 0, 0, 0);
      // 000 のときに利得 p を追加する
      base_cost -= p;
      // 000 以外だとコスト p
      add_edge(nxt, i, p);
      add_edge(nxt, j, p);
      add_edge(nxt, k, p);
      add_edge(source, nxt, p);
      ++nxt;
    }
  }
};
#line 4 "main.cpp"

void solve() {
  LL(N, M);
  const ll INF = 1LL << 60;
  Binary_Optimization<i128, false> X(N, INF);

  FOR(i, N) {
    LL(k, C);
    X.add_1(i, 0, M - C);
    VEC(ll, A, k);
    VEC(ll, B, k);
    for (auto&& x: A) --x;
    FOR(j, k) { X.add_2(i, A[j], 0, 0, 0, B[j]); }
  }
  auto [a, x] = X.calc();
  print(a);
}

signed main() {
  cout << fixed << setprecision(15);

  ll T = 1;
  // LL(T);
  FOR(T) solve();

  return 0;
}