#include using namespace atcoder; #include using namespace internal; #include using namespace std; #include #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep2(i,a,b) for (int i = (int)(a); i < (int)(b); i++) #define all(v) v.begin(),v.end() #define inc(x,l,r) ((l)<=(x)&&(x)<(r)) #define Unique(x) sort(all(x)), x.erase(unique(all(x)), x.end()) #define pcnt __builtin_popcountll typedef long long ll; #define int ll using ld = long double; using vi = vector; using vs = vector; using P = pair; using vp = vector

; using Bint = boost::multiprecision::cpp_int; template bool chmax(T1 &a, const T2 b) {if (a < b) {a = b; return true;} else return false; } template bool chmin(T1 &a, const T2 b) {if (a > b) {a = b; return true;} else return false; } template using priority_queue_greater = priority_queue, greater>; template ostream &operator<< (ostream &os, const pair &p){os << p.first <<" "<> (istream &is, modint1000000007 &m){ll in;is>>in;m=in;return is;} ostream &operator<< (ostream &os, const modint998244353 &m){os << m.val();return os;} istream &operator>> (istream &is, modint998244353 &m){ll in;is>>in;m=in;return is;} template istream &operator>>(istream& is,vector &v){for(T &in:v)is>>in;return is;} template void input(T&... a){(cin>> ... >> a);} #ifdef LOCAL template ostream &operator<<(ostream &os,const vector &v){os<<"\x1b[32m";rep(i,v.size())os< int print(T& a){cout << "\x1b[32m"<< a<< '\n' << "\x1b[0m";return 0;} template int print(const T&a, const Ts&... b){cout << "\x1b[32m" << a;(cout<<...<<(cout<<' ',b));cout<<'\n' << "\x1b[0m";return 0;} #else template ostream &operator<<(ostream &os,const vector &v){rep(i,v.size())os< int print(T& a){cout << a<< '\n';return 0;} template int print(const T&a, const Ts&... b){cout << a;(cout<<...<<(cout<<' ',b));cout<<'\n';return 0;} #endif #define VI(v,n) vi v(n); input(v) #define INT(...) int __VA_ARGS__; input(__VA_ARGS__) #define STR(...) string __VA_ARGS__; input(__VA_ARGS__) #define CHAR(...) char __VA_ARGS__; input(__VA_ARGS__) int sign(ll x){return x>0?1:x<0?-1:0;} ll ceil(ll x,ll y){assert(y!=0);if(sign(x)==sign(y))return (x+y-1)/y;return -((-x/y));} ll floor(ll x,ll y){assert(y!=0);if(sign(x)==sign(y))return x/y;if(y<0)x*=-1,y*=-1;return x/y-(x%y<0);} ll abs(ll x,ll y){return abs(x-y);} ll bit(int n){return 1ll< bool ins(string s,T t){return s.find(t)!=string::npos;} P operator+ (const P &p, const P &q){ return P{p.first+q.first,p.second+q.second};} P operator- (const P &p, const P &q){ return P{p.first-q.first,p.second-q.second};} int yesno(bool ok,string y="Yes",string n="No"){ cout<<(ok?y:n)< prime_factor(int x){ if(!ready)init(); map ret; while(x>1){ ret[D[x]]++; x/=D[x]; } return ret; } map lcm_prime_factor(vi v){ if(!ready)init(); map ret; for(auto x:v){ map tmp; while(x>1){ tmp[D[x]]++; x/=D[x]; } for(auto [k,v]:tmp)chmax(ret[k],v); } return ret; } signed main() { cin.tie(0); ios_base::sync_with_stdio(false); cout << fixed << setprecision(20); INT(n,m); vi p(n);iota(all(p),0); vi q(n); rep(_,m){ INT(t); vi s(t); for(auto &e:s)cin>>e,--e; rep(i,t)q[s[(i+1)%t]]=p[s[i]]; rep(i,t)p[s[i]]=q[s[i]]; } dsu uf(n); rep(i,n)uf.merge(i,p[i]); vi v; rep(i,n)if(uf.leader(i)==i)v.push_back(uf.size(i)); mint res = 1; for(auto [f,s]:lcm_prime_factor(v)){ res *= mint(f).pow(s); } print(res); return 0; }