#include using namespace std; using ll = long long; constexpr int INF = (int)1e9 + 1001010; constexpr ll llINF = (ll)4e18 + 22000020; const string endn = "\n"; template inline vector> vector2(size_t i, size_t j, const T &init = T()) {return vector>(i, vector(j, init));} const string ELEM_SEPARATION = " ", VEC_SEPARATION = endn; template istream& operator >>(istream &i, vector &A) {for(auto &I : A) {i >> I;} return i;} template ostream& operator <<(ostream &o, const vector &A) {int i=A.size(); for(auto &I : A){o << I << (--i ? ELEM_SEPARATION : "");} return o;} template ostream& operator <<(ostream &o, const vector> &A) {int i=A.size(); for(auto &I : A){o << I << (--i ? VEC_SEPARATION : "");} return o;} template vector& operator ++(vector &A, int n) {for(auto &I : A) {I++;} return A;} template vector& operator --(vector &A, int n) {for(auto &I : A) {I--;} return A;} template bool chmax(T &a, const U &b) {return ((a < b) ? (a = b, true) : false);} template bool chmin(T &a, const U &b) {return ((a > b) ? (a = b, true) : false);} ll floor(ll a, ll b) {assert(b != 0); return((a%b != 0 && ((a>0) != (b>0))) ? a/b-1 : a/b);} ll ceil (ll a, ll b) {assert(b != 0); return((a%b != 0 && ((a>0) == (b>0))) ? a/b+1 : a/b);} // ================================== ここまでテンプレ ================================== // type_traits, math namespace atcoder { namespace internal { constexpr long long safe_mod(long long x, long long m) { x %= m; if (x < 0) x += m; return x; } struct barrett { unsigned int _m; unsigned long long im; barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {} unsigned int umod() const { return _m; } unsigned int mul(unsigned int a, unsigned int b) const { unsigned long long z = a; z *= b; unsigned long long x = (unsigned long long)(((unsigned __int128)(z)*im) >> 64); unsigned int v = (unsigned int)(z - x * _m); if (_m <= v) v += _m; return v; } }; constexpr long long pow_mod_constexpr(long long x, long long n, int m) { if (m == 1) return 0; unsigned int _m = (unsigned int)(m); unsigned long long r = 1; unsigned long long y = safe_mod(x, m); while (n) { if (n & 1) r = (r * y) % _m; y = (y * y) % _m; n >>= 1; } return r; } constexpr bool is_prime_constexpr(int n) { if (n <= 1) return false; if (n == 2 || n == 7 || n == 61) return true; if (n % 2 == 0) return false; long long d = n - 1; while (d % 2 == 0) d /= 2; for (long long a : {2, 7, 61}) { long long t = d; long long y = pow_mod_constexpr(a, t, n); while (t != n - 1 && y != 1 && y != n - 1) { y = y * y % n; t <<= 1; } if (y != n - 1 && t % 2 == 0) { return false; } } return true; } template constexpr bool is_prime = is_prime_constexpr(n); constexpr std::pair inv_gcd(long long a, long long b) { a = safe_mod(a, b); if (a == 0) return {b, 0}; long long s = b, t = a; long long m0 = 0, m1 = 1; while (t) { long long u = s / t; s -= t * u; m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b auto tmp = s; s = t; t = tmp; tmp = m0; m0 = m1; m1 = tmp; } if (m0 < 0) m0 += b / s; return {s, m0}; } template using is_signed_int128 = typename std::conditional::value || std::is_same::value, std::true_type, std::false_type>::type; template using is_unsigned_int128 = typename std::conditional::value || std::is_same::value, std::true_type, std::false_type>::type; template using make_unsigned_int128 = typename std::conditional::value, __uint128_t, unsigned __int128>; template using is_signed_int = typename std::conditional<(is_integral::value && std::is_signed::value) || is_signed_int128::value, std::true_type, std::false_type>::type; template using is_unsigned_int = typename std::conditional<(is_integral::value && std::is_unsigned::value) || is_unsigned_int128::value, std::true_type, std::false_type>::type; template using to_unsigned = typename std::conditional< is_signed_int128::value, make_unsigned_int128, typename std::conditional::value, std::make_unsigned, std::common_type>::type>::type; template using is_signed_int_t = std::enable_if_t::value>; template using is_unsigned_int_t = std::enable_if_t::value>; } // namespace internal } // namespace atcoder // modint namespace atcoder { template * = nullptr> struct static_modint { using mint = static_modint; public: static constexpr int mod() { return m; } static mint raw(int v) { mint x; x._v = v; return x; } static_modint() : _v(0) {} template * = nullptr> static_modint(T v) { long long x = (long long)(v % (long long)(umod())); if (x < 0) x += umod(); _v = (unsigned int)(x); } template * = nullptr> static_modint(T v) { _v = (unsigned int)(v % umod()); } static_modint(bool v) { _v = ((unsigned int)(v) % umod()); } unsigned int val() const { return _v; } mint& operator++() { _v++; if (_v == umod()) _v = 0; return *this; } mint& operator--() { if (_v == 0) _v = umod(); _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 >= umod()) _v -= umod(); return *this; } mint& operator-=(const mint& rhs) { _v -= rhs._v; if (_v >= umod()) _v += umod(); return *this; } mint& operator*=(const mint& rhs) { unsigned long long z = _v; z *= rhs._v; _v = (unsigned int)(z % umod()); 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 x = *this, r = 1; while (n) { if (n & 1) r *= x; x *= x; n >>= 1; } return r; } mint inv() const { if (prime) { assert(_v); return pow(umod() - 2); } else { auto eg = internal::inv_gcd(_v, m); assert(eg.first == 1); return eg.second; } } 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 istream &operator >> (istream &i, mint &a) {long long v; i >> v; a = v; return i;} friend ostream &operator << (ostream &os, const mint &a) { return os << a.val(); } private: unsigned int _v; static constexpr unsigned int umod() { return m; } static constexpr bool prime = internal::is_prime; }; using modint998244353 = static_modint<998244353>; using modint1000000007 = static_modint<1000000007>; } // namespace atcoder using namespace atcoder; using mint = modint998244353; int main(int argc, char *argv[]){ ios::sync_with_stdio(false); cin.tie(nullptr); ll n, m; cin >> n >> m; vector to(n, 0); iota(to.begin(), to.end(), 0); for(int i = 0; i < m; i++){ int t; cin >> t; vector s(t); cin >> s; s--; // auto tmp = to; auto tmp = to[s[t-1]]; for(int i = t-1; i >= 1; i--){ to[s[i]] = to[s[i-1]]; } to[s[0]] = tmp; } map pf; vector used(n, false); for(int i = 0; i < n; i++){ if(used[i]) continue; int cnt = 0; auto dfs = [&](auto &&dfs, int now) -> void { if(used[now]) return; used[now] = true; cnt++; dfs(dfs, to[now]); }; dfs(dfs, i); for(int i = 2; i <= (int)sqrt(cnt) + 1; i++){ int c = 0; while(cnt % i == 0){ c++; cnt /= i; } if(c > 0){ chmax(pf[i], c); } } if(cnt > 1){ chmax(pf[cnt], 1); } } mint ans = 1; for(auto [prime, cnt] : pf){ ans *= ((mint)(prime)).pow(cnt); } cout << ans << endn; return 0; }