#908390 (C++23) No.2428 Returning Shuffle

• 問題: No.2428 Returning Shuffle
• ユーザー: い
• 提出日時: 2023-08-26 20:04:42
• 言語: C++23 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 264 ms / 2,000 ms
• コード長: 10,201 bytes
• コンパイル時間: 3,774 ms
• コンパイル使用メモリ: 272,956 KB
• 実行使用メモリ: 23,376 KB
• 最終ジャッジ日時: 2024-06-07 15:35:26
• 合計ジャッジ時間: 6,662 ms
• ジャッジサーバーID （参考情報）: judge1 / judge3

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	117 ms; 18,884 KB
testcase_01	AC	264 ms; 22,936 KB
testcase_02	AC	252 ms; 22,944 KB
testcase_03	AC	2 ms; 5,376 KB
testcase_04	AC	2 ms; 5,376 KB
testcase_05	AC	2 ms; 5,376 KB
testcase_06	AC	2 ms; 5,376 KB
testcase_07	AC	2 ms; 5,376 KB
testcase_08	AC	2 ms; 5,376 KB
testcase_09	AC	2 ms; 5,376 KB
testcase_10	AC	2 ms; 5,376 KB
testcase_11	AC	2 ms; 5,376 KB
testcase_12	AC	2 ms; 5,376 KB
testcase_13	AC	2 ms; 5,376 KB
testcase_14	AC	2 ms; 5,376 KB
testcase_15	AC	2 ms; 5,376 KB
testcase_16	AC	2 ms; 5,376 KB
testcase_17	AC	2 ms; 5,376 KB
testcase_18	AC	2 ms; 5,376 KB
testcase_19	AC	174 ms; 23,256 KB
testcase_20	AC	179 ms; 23,376 KB
testcase_21	AC	2 ms; 5,376 KB
testcase_22	AC	2 ms; 5,376 KB
testcase_23	AC	2 ms; 5,376 KB
testcase_24	AC	152 ms; 22,800 KB
testcase_25	AC	185 ms; 22,820 KB

ソースコード

#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")

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

using uint = unsigned int;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using i128 = __int128_t;

template <typename F>
using fn = function<F>;

#define all(a) a.begin(), a.end()
#define allr(a) a.rbegin(), a.rend()

template <class A>
int len(const A &a) {
  return a.size();
}

#define eb emplace_back
#define pb push_back
#define elif else if

template <typename T>
using vec = vector<T>;
template <typename T>
using vec2 = vec<vec<T>>;
template <typename T>
using vec3 = vec<vec2<T>>;
template <typename T>
using vec4 = vec<vec3<T>>;
template <typename T>
using vec5 = vec<vec4<T>>;

#define VEC(T, a, ...) \
  vec<T> a(__VA_ARGS__)

#define VEC2(T, a, n, ...) \
  vector a(n, vec<T>(__VA_ARGS__));

#define VEC3(T, a, n, m, ...) \
  vector a( \
    n, \
    vector(m, vec<T>(__VA_ARGS__)) \
  );

#define VEC4(T, a, n, m, l, ...) \
  vector a( \
    n, \
    vector( \
      m, \
      vector(l, vec<T>(__VA_ARGS__)) \
    ) \
  );

#define eval_4(a, b, c, d, e, ...) e

#define loop while (1)

#define rep(n) \
  for (int __ = 0; __ < n; __++)

#define range_1(i, n) \
  for (int i = 0; i < n; i++)
#define range_2(i, a, b) \
  for (ll i = a; i < b; i++)
#define range_3(i, a, b, c) \
  for (ll i = a; i < b; i += c)

#define range(...) \
  eval_4(__VA_ARGS__, range_3, range_2, range_1, rep)( \
    __VA_ARGS__ \
  )

#define ranger_1(i, n) \
  for (int i = n; i-- > 0;)
#define ranger_2(i, a, b) \
  for (ll i = b; i-- > a;)
#define ranger_3(i, a, b, c) \
  for (ll i = b - 1; i >= a; i -= c)

#define range_rev(...) \
  eval_4(__VA_ARGS__, ranger_3, ranger_2, ranger_1)( \
    __VA_ARGS__ \
  )

#define iter(x, a) \
  for (const auto &x : a)
#define iter_mut(x, a) \
  for (auto &&x : a)

template <typename T, typename U>
istream &
operator>>(istream &in, pair<T, U> &p) {
  return in >> p.first >> p.second;
}

template <typename T, typename U>
ostream &operator<<(
  ostream &out,
  pair<T, U> &p
) {
  out << p.first << ' ' << p.second;
  return out;
}

template <int k = 0, class T>
void read_tup(istream &in, T &x) {
  if constexpr (tuple_size<T>::value > k) {
    in >> get<k>(x);
    read_tup<k + 1>(in, x);
  }
}

template <class... T>
istream &operator>>(
  istream &in,
  tuple<T...> &x
) {
  read_tup(in, x);
  return in;
}

template <int k = 0, class T>
void out_tup(ostream &out, T &x) {
  if constexpr (tuple_size<T>::value > k) {
    if constexpr (k > 0) {
      out << ' ';
    }
    out << get<k>(x);
    out_tup<k + 1>(out, x);
  }
}

template <class... T>
ostream &operator<<(
  ostream &out,
  tuple<T...> &x
) {
  out_tup(out, x);
  return out;
}

template <typename T>
auto operator<<(ostream &out, vec<T> a)
  -> ostream & {
  range(i, len(a)) {
    if (i) {
      out << ' ';
    }
    out << a[i];
  }
  return out;
}

template <typename T>
auto operator<<(ostream &out, vec2<T> a)
  -> ostream & {
  iter_mut(x, a) out << x << '\n';
  return out;
}

template <typename T>
auto operator>>(istream &in, vec<T> &a)
  -> istream & {
  iter_mut(x, a) in >> x;
  return in;
}

template <typename... T>
void in(T &...a) {
  (cin >> ... >> a);
}

template <class T, class... U>
void out(T a, const U... b) {
  cout << a;
  ((cout << ' ' << b), ...);
  cout << '\n';
}

template <typename T = int>
vec<T> iota(int n, T v = 0) {
  vec<int> a(n);
  std::iota(all(a), v);
  return a;
}

template <class T>
using max_queue = priority_queue<T>;

template <class T>
using min_queue =
  priority_queue<T, vec<T>, greater<T>>;

template <typename T>
T pop(queue<T> &q) {
  T v = q.front();
  q.pop();
  return v;
}

template <typename T>
T pop(deque<T> &q) {
  T v = q.front();
  q.pop_front();
  return v;
}

template <typename T>
T pop(vec<T> &q) {
  T v = q.back();
  q.pop_back();
  return v;
}

template <typename T>
T pop(max_queue<T> &q) {
  T v = q.top();
  q.pop();
  return v;
}

template <typename T>
T pop(min_queue<T> &q) {
  T v = q.top();
  q.pop();
  return v;
}

template <typename T>
T max(const vec<T> &a) {
  return *max_element(all(a));
}

template <typename T>
T min(const vec<T> &a) {
  return *min_element(all(a));
}

int topbit(int x) {
  return 31 - __builtin_clz(x);
}

template <class T>
bool operator==(
  const vec<T> &a,
  const vec<T> &b
) {
  int n = len(a);
  if (len(b) != n) {
    return false;
  }
  range(i, n) {
    if (a[i] != b[i]) {
      return false;
    }
  }
  return true;
}

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

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

int popcnt(int x) {
  return __builtin_popcount(x);
}

template <class T, class U>
T sum(const vec<U> &a) {
  return accumulate(all(a), 0ll);
}

template <class T>
void unique(vec<T> &a) {
  sort(all(a));
  a.erase(std::unique(all(a)), a.end());
}

template <class T, class A>
int lb(const A &a, const T &x) {
  auto p = lower_bound(all(a), x);
  return distance(a.begin(), p);
}

template <class T, class A>
int ub(const A &a, const T &x) {
  auto p = upper_bound(all(a), x);
  return distance(a.begin(), p);
}

template <class A>
vec<int> argsort(const A &a) {
  int n = len(a);
  auto b = iota(n);
  sort(all(b), [&](int i, int j) {
    return a[i] < a[j];
  });
  return b;
}

template <class T>
int ctz(T n) {
  return __builtin_ctzll(n);
}

template <typename T>
auto divmod(T a, T b) -> pair<T, T> {
  T q = a / b;
  return {q, a - q * b};
}

#ifdef DEBUG
#define dbg(...) out(__VA_ARGS__);
#else
#define dbg(...) ;
#endif

#ifdef DEBUG
#define dbg_assert(...) \
  assert(__VA_ARGS__);
#else
#define dbg_assert(...) ;
#endif

// define yes/no
#define yesno(y, n) \
  void yes(bool f = 1) { \
    out(f ? #y : #n); \
  } \
  void no() { \
    out(#n); \
  }

yesno(yes, no);

// yesno(Yes, No);
// yesno(YES, NO);

// const/runtime
// id <= 0, call set_mod
template <int id = 0>
class mint {
  ll v;

  static int mod;

  static constexpr int m() {
    return id > 0 ? id : mod;
  }

public:
  static void set_mod(int m) {
    assert(m > 0);
    mod = m;
  }

  constexpr mint(): v() {
  }

  mint(ll v): v(v) {
    norm();
  }

  void norm() {
    if (v < -m() || m() <= v) {
      v %= m();
    }
    if (v < 0) {
      v += m();
    }
  }

  int operator()() const {
    return v;
  }

  template <class T>
  explicit operator T() const {
    return static_cast<T>(v);
  }

  mint operator-() const {
    return v ? m() - v : 0;
  }

  mint &operator+=(const mint &a) {
    if ((v += a.v) >= m()) {
      v -= m();
    }
    return *this;
  }

  mint &operator-=(const mint &a) {
    if ((v -= a.v) < 0) {
      v += m();
    }
    return *this;
  }

  mint &operator*=(const mint &a) {
    v *= a.v;
    norm();
    return *this;
  }

  mint inv() const {
    int a = m(), b = v, u = 0, v = 1, q;
    while (b) {
      q = a / b;
      swap(u -= q * v, v);
      swap(a -= q * b, b);
    }
    return u;
  }

  mint pow(ll t) const {
    if (t < 0) {
      return inv().pow(-t);
    }
    mint y = 1, x(v);
    while (t) {
      if (t & 1) {
        y *= x;
      }
      x *= x;
      t >>= 1;
    }
    return y;
  }

  mint &operator/=(const mint &a) {
    return *this *= a.inv();
  }

  auto operator++() -> mint & {
    return *this += 1;
  }

  auto operator--() -> mint & {
    return *this -= 1;
  }

  auto operator++(int) -> mint {
    mint a(*this);
    *this += 1;
    return a;
  }

  auto operator--(int) -> mint {
    mint a(*this);
    *this -= 1;
    return a;
  }

  friend mint operator+(
    const mint &a,
    const mint &b
  ) {
    return mint(a) += b;
  }

  friend mint operator-(
    const mint &a,
    const mint &b
  ) {
    return mint(a) -= b;
  }

  friend mint operator*(
    const mint &a,
    const mint &b
  ) {
    return mint(a) *= b;
  }

  friend mint operator/(
    const mint &a,
    const mint &b
  ) {
    return mint(a) /= b;
  }

  friend bool operator==(
    const mint &a,
    const mint &b
  ) {
    return a.v == b.v;
  }

  friend istream &
  operator>>(istream &i, mint &x) {
    i >> x.v;
    x.norm();
    return i;
  }

  friend ostream &operator<<(
    ostream &o,
    const mint &x
  ) {
    return o << x.v;
  }
};

template <int id>
int mint<id>::mod = 1;

using mint107 = mint<1'000'000'007>;
using mint998 = mint<998'244'353>;
using mint_runtime = mint<0>;

class functional_graph {
public:
  vec<int> a; // flatten cycles
  vec<int> start; // cycle start in a
  vec<int> sz; // cycle size
  vec<int> ord; // ord in cycle
  vec<int> id; // cycle id

  functional_graph(const vec<int> &f) {
    int n = len(f);
    a.reserve(n);
    id = vec<int>(n, -1);
    ord = vec<int>(n, -1);
    int j = 0;
    range(i, n) {
      if (id[i] != -1) {
        continue;
      }
      start.pb(len(a));
      sz.pb(0);
      range(k, n) {
        if (id[i] != -1) {
          break;
        }
        sz[j]++;
        id[i] = j;
        ord[i] = k;
        a.pb(i);
        i = f[i];
      }
      j++;
    }
  }
};

template <class T>
auto factorize(T n)
  -> vec<pair<T, int>> {
  vec<pair<T, int>> f;
  for (T i = 2; i * i <= n; ++i) {
    if (n % i) {
      continue;
    }
    int e = 0;
    do {
      ++e;
      n /= i;
    } while (n % i == 0);
    f.eb(i, e);
  }
  if (n != 1) {
    f.eb(n, 1);
  }
  return f;
}

// prime factorize lcm(a)
vec<int> factorize_lcm(const vec<int> &a
) {
  // vec<int> c;
  vec<int> c(max(a) + 1);
  iter(x, a) {
    for (auto &[p, e] : factorize(x)) {
      // if (p >= len(c)) {
      //   c.resize(p + 1);
      // }
      chmax(c[p], e);
    }
  }
  return c;
}

void solve() {
  using mint = mint998;
  int n, m;
  in(n, m);
  auto f = iota(n);
  rep(m) {
    int t;
    in(t);
    vec<int> s(t);
    in(s);
    iter_mut(x, s) x--;
    int x = f[s[0]];
    range(i, 1, t) {
      swap(x, f[s[i]]);
    }
    f[s[0]] = x;
  }
  auto fg = functional_graph(f);
  auto c = factorize_lcm(fg.sz);
  mint res = 1;
  range(i, len(c)) {
    res *= mint(i).pow(c[i]);
  }
  out(res);
}

int main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  // cout << setprecision(16);
  int t = 1;
  // in(t);
  while (t--) {
    solve();
  }
}