#include using namespace std; using ll = long long; template istream& operator >> (istream& is, vector& vec) { for(T& x : vec) is >> x; return is; } template ostream& operator << (ostream& os, const vector& vec) { if(vec.empty()) return os; os << vec[0]; for(auto it = vec.begin(); ++it != vec.end(); ) os << ' ' << *it; return os; } template struct prime_modint { using mint = prime_modint; unsigned int v; prime_modint() : v(0) {} prime_modint(unsigned int a) { a %= MOD; v = a; } prime_modint(unsigned long long a) { a %= MOD; v = a; } prime_modint(int a) { a %= (int)(MOD); if(a < 0)a += MOD; v = a; } prime_modint(long long a) { a %= (int)(MOD); if(a < 0)a += MOD; v = a; } static constexpr int mod() { return MOD; } mint& operator++() {v++; if(v == MOD)v = 0; return *this;} mint& operator--() {if(v == 0)v = MOD; v--; return *this;} mint operator++(int) { mint result = *this; ++*this; return result; } mint operator--(int) { mint result = *this; --*this; return result; } mint& operator+=(const mint& rhs) { v += rhs.v; if(v >= MOD) v -= MOD; return *this; } mint& operator-=(const mint& rhs) { if(v < rhs.v) v += MOD; v -= rhs.v; return *this; } mint& operator*=(const mint& rhs) { v = (unsigned int)((unsigned long long)(v) * rhs.v % MOD); return *this; } mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); } mint operator+() const { return *this; } mint operator-() const { return mint() - *this; } mint pow(long long n) const { assert(0 <= n); mint r = 1, x = *this; while (n) { if (n & 1) r *= x; x *= x; n >>= 1; } return r; } mint inv() const { assert(v); return pow(MOD - 2); } friend mint operator+(const mint& lhs, const mint& rhs) { return mint(lhs) += rhs; } friend mint operator-(const mint& lhs, const mint& rhs) { return mint(lhs) -= rhs; } friend mint operator*(const mint& lhs, const mint& rhs) { return mint(lhs) *= rhs; } friend mint operator/(const mint& lhs, const mint& rhs) { return mint(lhs) /= rhs; } friend bool operator==(const mint& lhs, const mint& rhs) { return (lhs.v == rhs.v); } friend bool operator!=(const mint& lhs, const mint& rhs) { return (lhs.v != rhs.v); } friend std::ostream& operator << (std::ostream &os, const mint& rhs) noexcept { return os << rhs.v; } }; //using mint = prime_modint<1000000007>; using mint = prime_modint<998244353>; struct dsu { public: int csz; dsu() : _n(0) {} dsu(int n) : _n(n), csz(n), parent_or_size(n, -1) {} int merge(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); int x = leader(a), y = leader(b); if (x == y) return x; if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y); csz--; parent_or_size[x] += parent_or_size[y]; parent_or_size[y] = x; return x; } bool same(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); return leader(a) == leader(b); } int leader(int a) { assert(0 <= a && a < _n); if (parent_or_size[a] < 0) return a; return parent_or_size[a] = leader(parent_or_size[a]); } int size(int a) { assert(0 <= a && a < _n); return -parent_or_size[leader(a)]; } std::vector> groups() { std::vector leader_buf(_n), group_size(_n); for (int i = 0; i < _n; i++) { leader_buf[i] = leader(i); group_size[leader_buf[i]]++; } std::vector> result(_n); for (int i = 0; i < _n; i++) { result[i].reserve(group_size[i]); } for (int i = 0; i < _n; i++) { result[leader_buf[i]].push_back(i); } result.erase( std::remove_if(result.begin(), result.end(), [&](const std::vector& v) { return v.empty(); }), result.end()); return result; } private: int _n; // root node: -1 * component size // otherwise: parent std::vector parent_or_size; }; //osa_k法に基づく素因数分解 struct osa_k{ int n; vector osak_calc; osa_k(int n = 1000001) { osak_calc.resize(n, -1); int d; for(int i = 2; i < n; i += 2) osak_calc[i] = 2; for(int i = 3; i < n; i += 2){ if(osak_calc[i] != -1)continue; d = i << 1; for(int j = i; j < n; j += d){ if(osak_calc[j] != -1)continue; osak_calc[j] = i; } } } bool is_Prime(int x){ return (osak_calc[x] == x); } vector> prime_factor(int x){ vector> ret; if(x <= 1)return ret; ret.emplace_back(osak_calc[x], 1); x /= osak_calc[x]; while(osak_calc[x] != -1){ if(osak_calc[x] == ret.back().first){ ret.back().second++; }else{ ret.emplace_back(osak_calc[x], 1); } x /= osak_calc[x]; } return ret; } //最小公倍数の数列を返す vector array_lcm(vector a){ vector tb(1000000); for(int i = 0; i < (int)a.size(); i++){ vector> b = prime_factor(a[i]); for(int j = 0; j < (int)b.size(); j++){ tb[b[j].first] = max(tb[b[j].first], b[j].second); } } return tb; } }; int main(){ ios::sync_with_stdio(false); cin.tie(0); int n, m; cin >> n >> m; vector p(n); iota(p.begin(), p.end(), 0); for(int i = 0; i < m; i++){ int c; cin >> c; vector b(c), d(c); cin >> b; for(auto &&v : b) v--; for(int i = 0; i < c; i++){ d[i] = p[b[i]]; } for(int i = 0; i < c; i++){ p[b[(i + 1) % c]] = d[i]; } } //cerr << p << '\n'; dsu uf(n); for(int i = 0; i < n; i++){ uf.merge(i, p[i]); } osa_k osa(n + 5); vector a; for(auto &&G : uf.groups()) a.emplace_back(G.size()); //cerr << a << '\n'; auto tb = osa.array_lcm(a); mint ans = 1; for(int i = 2; i < tb.size(); i++){ if(tb[i] == 0) continue; ans *= mint(i).pow(tb[i]); } cout << ans << '\n'; }