#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using mint = modint998244353; pair, vector> primes_lpf(const int n) { vector primes; primes.reserve(n / 10); vector lpf(n + 1); for (int i = 2; i <= n; i += 2) lpf[i] = 2; for (int i = 3; i <= n; i += 6) lpf[i] = 3; if (2 <= n) primes.push_back(2); if (3 <= n) primes.push_back(3); // 5 * x <= n, x <= floor(n / 5) const int n5 = n / 5; int x = 5; char add_next = 2; for (; x <= n5; x += add_next, add_next ^= 2 ^ 4) { int px = lpf[x]; if (px == 0) { lpf[x] = px = x; primes.push_back(x); } for (int i = 2;; ++i) { int q = primes[i]; int y = q * x; if (y > n) break; lpf[y] = q; if (q == px) break; } } for (; x <= n; x += add_next, add_next ^= 2 ^ 4) { if (lpf[x] == 0) { lpf[x] = x; primes.push_back(x); } } return {move(primes), move(lpf)}; } constexpr int PSIZE = 1000010; auto [primes, lpf] = primes_lpf(PSIZE); vector>& factorize_lv(int x) { int ps[10], cs[10]; int sz = 0; while (x != 1) { int p = lpf[x], c = 0; do {x /= p; c++;} while (x % p == 0); ps[sz] = p; cs[sz] = c; sz++; } static vector> fs; fs.clear(); for (int i = 0; i < sz; i++) fs.emplace_back(ps[i], cs[i]); return fs; } vector> cycle_decomposition(const vector& a) { const int n = a.size(); vector visited(n); vector> res; for(int i = 0; i < n; i++) if (!visited[i]) { res.emplace_back(); auto& vs = res.back(); int v = i; do { visited[v] = true; vs.push_back(v); v = a[v]; } while (v != i); } return res; } } int main() { ios::sync_with_stdio(false); cin.tie(0); int n, m; cin >> n >> m; VI s(n); iota(all(s), 0); VI s_inv(n); iota(all(s_inv), 0); rep(_, m) { int t; cin >> t; static VI d; d.resize(t); rep(i, t) cin >> d[i], d[i]--; static VI d_orig; d_orig.resize(t); rep(i, t) d_orig[i] = s_inv[d[i]]; rotate(d.begin(), d.begin() + 1, d.end()); rep(i, t) s[d_orig[i]] = d[i], s_inv[d[i]] = d_orig[i]; } VI e(PSIZE); for(const auto& c : cycle_decomposition(s)) { for(auto [p, c] : factorize_lv(c.size())) { chmax(e[p], c); } } mint ans = 1; rep(i, PSIZE) if (e[i]) { ans *= mint(i).pow(e[i]); } cout << ans.val() << '\n'; }