#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; template struct modint { private: unsigned int value; static constexpr int mod() {return m;} public: constexpr modint(const long long x = 0) noexcept { long long y = x; if(y < 0 || y >= mod()) { y %= mod(); if(y < 0) y += mod(); } value = (unsigned int)y; } static constexpr int get_mod() noexcept {return m;} static constexpr int primitive_root() noexcept { assert(m == 998244353); return 3; } constexpr unsigned int val() noexcept {return value;} constexpr modint &operator+=(const modint &other) noexcept { value += other.value; if(value >= mod()) value -= mod(); return *this; } constexpr modint &operator-=(const modint &other) noexcept { unsigned int x = value; if(x < other.value) x += mod(); x -= other.value; value = x; return *this; } constexpr modint &operator*=(const modint &other) noexcept { unsigned long long x = value; x *= other.value; value = (unsigned int) (x % mod()); return *this; } constexpr modint &operator/=(const modint &other) noexcept { return *this *= other.inverse(); } constexpr modint inverse() const noexcept { assert(value); long long a = value,b = mod(),x = 1,y = 0; while(b) { long long q = a/b; a -= q*b; swap(a,b); x -= q*y; swap(x,y); } return modint(x); } constexpr modint power(long long N) const noexcept { assert(N >= 0); modint p = *this,ret = 1; while(N) { if(N & 1) ret *= p; p *= p; N >>= 1; } return ret; } constexpr modint operator+() {return *this;} constexpr modint operator-() {return modint() - *this;} constexpr modint &operator++(int) noexcept {return *this += 1;} constexpr modint &operator--(int) noexcept {return *this -= 1;} friend modint operator+(const modint& lhs, const modint& rhs) {return modint(lhs) += rhs;} friend modint operator-(const modint& lhs, const modint& rhs) {return modint(lhs) -= rhs;} friend modint operator*(const modint& lhs, const modint& rhs) {return modint(lhs) *= rhs;} friend modint operator/(const modint& lhs, const modint& rhs) {return modint(lhs) /= rhs;} friend ostream &operator<<(ostream &os,const modint &x) {return os << x.value;} }; using mint = modint<998244353>; /* using mint = modint<1000000007>; */ #include #include #include using namespace std; struct UnionFind { private: int n; vector par,siz; public: UnionFind(int n) :n(n),par(n,-1),siz(n,1) {} int root(int u) { assert(0 <= u && u < n); return (par[u] < 0 ? u:par[u] = root(par[u])); } bool same(int u,int v) { assert(0 <= u && u < n && 0 <= v && v < n); return root(u) == root(v); } bool unite(int u,int v) { assert(0 <= u && u < n && 0 <= v && v < n); u = root(u),v = root(v); if(u == v) return false; if(siz[u] < siz[v]) swap(u,v); siz[u] += siz[v]; par[v] = u; return true; } int size(int u) { assert(0 <= u && u < n); return siz[root(u)]; } vector> components() { vector> ret(n); for(int u = 0;u < n;u++) ret[root(u)].push_back(u); ret.erase(remove_if(ret.begin(),ret.end(),[](vector v) { return v.empty();}),ret.end()); return ret; } }; vector> PrimeFactorize(long long N) { vector> res; for(long long p = 2;p * p <= N;p++) { if(N % p != 0) { continue; } res.push_back(make_pair(p,0)); while(N % p == 0) { N /= p; res.back().second++; } } if(N > 1) { res.push_back(make_pair(N,1)); } return res; } void Main() { int N,M; cin >> N >> M; vector P(N); iota(P.begin(),P.end(),0); for(;M--;) { int T; cin >> T; vector S(T); for(int i = 0;i < T;i++) { cin >> S[i]; S[i]--; } vector tmp; for(int s : S) { tmp.push_back(P[s]); } rotate(tmp.begin(),tmp.begin() + (int)tmp.size() - 1,tmp.end()); for(int i = 0;i < T;i++) { P[S[i]] = tmp[i]; } } UnionFind uf(N); for(int i = 0;i < N;i++) { uf.unite(i,P[i]); } map L; for(int i = 0;i < N;i++) { if(i == uf.root(i)) { int sz = uf.size(i); auto pf = PrimeFactorize(sz); for(const auto &[p,e] : pf) { L[p] = max(L[p],e); } } } mint ans = 1; for(const auto &[p,e] : L) { ans *= mint(p).power(e); } cout << ans << "\n"; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int tt = 1; /* cin >> tt; */ while(tt--) Main(); }