#include #include #define rep(i,b) for(int i=0;i=0;i--) #define rep1(i,b) for(int i=1;i=x;i--) #define fore(i,a) for(auto& i:a) #define rng(x) (x).begin(), (x).end() #define rrng(x) (x).rbegin(), (x).rend() #define sz(x) ((int)(x).size()) #define pb push_back #define fi first #define se second #define pcnt __builtin_popcountll using namespace std; using namespace atcoder; using ll = long long; using ld = long double; template using mpq = priority_queue, greater>; template bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (b ll sumv(const vector&a){ll res(0);for(auto&&x:a)res+=x;return res;} bool yn(bool a) { if(a) {cout << "Yes" << endl; return true;} else {cout << "No" << endl; return false;}} #define retval(x) {cout << #x << endl; return;} #define cout2(x,y) cout << x << " " << y << endl; #define coutp(p) cout << p.fi << " " << p.se << endl; #define out cout << ans << endl; #define outd cout << fixed << setprecision(20) << ans << endl; #define outm cout << ans.val() << endl; #define outv fore(yans , ans) cout << yans << "\n"; #define outdv fore(yans , ans) cout << yans.val() << "\n"; #define coutv(v) {fore(vy , v) {cout << vy << " ";} cout << endl;} #define coutv2(v) fore(vy , v) cout << vy << "\n"; #define coutvm(v) {fore(vy , v) {cout << vy.val() << " ";} cout << endl;} #define coutvm2(v) fore(vy , v) cout << vy.val() << "\n"; using pll = pair;using pil = pair;using pli = pair;using pii = pair;using pdd = pair; using vi = vector;using vd = vector;using vl = vector;using vs = vector;using vb = vector; using vpii = vector;using vpli = vector;using vpll = vector;using vpil = vector; using vvi = vector>;using vvl = vector>;using vvs = vector>;using vvb = vector>; using vvpii = vector>;using vvpli = vector>;using vvpll = vector;using vvpil = vector; using mint = modint998244353; //using mint = modint1000000007; //using mint = dynamic_modint<0>; using vm = vector; using vvm = vector>; vector dx={1,0,-1,0,1,1,-1,-1},dy={0,1,0,-1,1,-1,1,-1}; ll gcd(ll a, ll b) { return a?gcd(b%a,a):b;} ll lcm(ll a, ll b) { return a/gcd(a,b)*b;} #define yes {cout <<"Yes"<>n>>k; vector e(k,vvi(n)); rep(i,k){ int t; cin>>t; rep(j,t){ int a,b; cin>>a>>b; a--; b--; e[i][a].pb(b); e[i][b].pb(a); } } // map,mint> mp; auto f = [&](auto f,const vvm& v, bitset<50> row, bitset<50> col)->mint{ // bitset<100> b; // rep(i,n) b[i] = row[i]; // rep(i,n) b[i+n] = col[i]; // if (mp.count(b)) return mp[b]; vvm now; vi ridx,cidx; rep(i,n) if (row[i]==0) ridx.pb(i); rep(i,n) if (col[i]==0) cidx.pb(i); int k = sz(ridx); mint ret = 0; if (k == 2){ ret = v[ridx[0]][cidx[0]]*v[ridx[1]][cidx[1]] - v[ridx[0]][cidx[1]]*v[ridx[1]][cidx[0]]; return ret; }else if(k == 1){ return v[ridx[0]][cidx[0]]; } col[cidx[0]] = 1; rep(i,k){ mint tmp = v[ridx[i]][cidx[0]]; row[ridx[i]] = 1; tmp *= f(f,v,row,col); if ((i)%2==1) tmp *= -1; row[ridx[i]] = 0; ret += tmp; } col[cidx[0]] = 0; // mp[b] = ret; return ret; }; mint ans = 0; int l = 1 << k; rep1(i,l){ int p = pcnt(i); vvm v(n,vm(n)); vvi ee(n); rep(j,k) if ((i>>j&1) == 1){ rep(jj,n){ fore(y , e[j][jj]){ v[jj][jj]++; v[jj][y]--; } } } bitset<50> row,col; row[0] = 1; col[0] = 1; mint tmp = f(f,v,row,col); // rep(ii,n-1){ // rep(jj,n-1){ // int l = v2[ii][jj].val(); // if (l >= 10000) l = (l - 998244353 ); // cout << l << " "; // } // cout << endl; // } // show(tmp.val()); // cout << endl; if ((k-p)%2==1) tmp *= -1; ans += tmp; } outm; return; } int main(){ ios::sync_with_stdio(false); cin.tie(0); int t = 1; //cin>>t; rep(i,t){ solve(); } return 0; }