#include #include using namespace std; using mint = atcoder::modint998244353; mint calc(int n, vector> A){ mint ret = 1; n--; vector> B(n,vector(n)); for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) B[i][j] = A[i][j]; for (int i = 0; i < n; i++) { int idx = -1; for (int j = i; j < n; j++) { if (B[j][i] != 0) { idx = j; break; } } if (idx == -1) return 0; if (i != idx) { ret *= -1; swap(B[i], B[idx]); } ret *= B[i][i]; mint inv = B[i][i].inv(); for (int j = 0; j < n; j++) { B[i][j] *= inv; } for (int j = i + 1; j < n; j++) { mint a = B[j][i]; if (a == 0) continue; for (int k = i; k < n; k++) { B[j][k] -= B[i][k] * a; } } } return ret; } int main(){ int n, k; cin >> n >> k; vector>> es(k); for (int i = 0; i < k; i++){ int t; cin >> t; es[i].resize(t); for (int j = 0; j < t; j++){ int u, v; cin >> u >> v; u--, v--; es[i][j] = make_pair(u,v); } } mint ans = 0; for (int s = 0; s < 1<> g(n,vector(n)); for (int i = 0 ; i < k; i++){ if (s >> i & 1){ for (auto [u, v] : es[i]){ g[u][v]--; g[v][u]--; g[u][u]++; g[v][v]++; } } } ans += (popcount((unsigned int)s) % 2 == k % 2 ? 1 : -1) * calc(n,g); } cout << ans.val() << endl; }