#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef LOCAL # include "debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif using namespace std; #define rep(i,n) for(int i=0; i<(n); i++) #define rrep(i,n) for(int i=(n)-1; i>=0; i--) #define FOR(i,a,b) for(int i=(a); i<(b); i++) #define RFOR(i,a,b) for(int i=(b-1); i>=(a); i--) #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define pb push_back using ll = long long; using D = double; using LD = long double; using P = pair; template using PQ = priority_queue>; template using minPQ = priority_queue, greater>; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &...u) { cout << t; outr(u...); } #include "atcoder/modint.hpp" using mint = atcoder::modint998244353; const int MAX_N = 200005; int c[MAX_N]; mint ci[MAX_N]; struct edge{ int from; int to; int fi; int ti; }; edge rd[MAX_N*2]; struct var { mint dp; var(mint dp=0) : dp(dp){} var merge (const var& a, const mint d, const int v, const int vi, const int vo) const { mint delta = d * a.dp; if (vi != -1 and vo != -1 and vi <= vo){ delta *= ci[v]; } return {dp + delta}; } var addRoot() const { return {dp+1}; } }; vector> g[MAX_N]; vector dp[MAX_N]; var ans[MAX_N]; var dfs1(int v, int pv = -1, int pi = -1) { var dpsum; dp[v] = vector (g[v].size()); rep(i, g[v].size()) { auto [u, ei, d] = g[v][i]; if(u == pv) continue; dp[v][i] = dfs1(u, v, ei); dpsum = dpsum.merge(dp[v][i], d, v, pi, i); } return dpsum.addRoot(); } void dfs2(int v, const var& dpParent = var(), int pv = -1, int pi = -1) { int deg = g[v].size(); rep(i, deg) { auto [u, ei, d] = g[v][i]; if (u == pv) { auto tmp = var{0}; rep(j, g[u].size()){ auto [w, ej, dj] = g[u][j]; if(w == v) continue; tmp = tmp.merge(dp[u][j], dj, u, ei, j); } dp[v][i] = var{tmp}.addRoot(); } } vector dpSum_Left(deg+1), dpSum_Right(deg+1); rep(i,deg) { auto [u, ei, d] = g[v][i]; dpSum_Left[i+1] = dpSum_Left[i].merge(dp[v][i], d, v,-1,-1); } rrep(i, deg) { auto [u, ei, d] = g[v][i]; dpSum_Right[i] = dpSum_Right[i+1].merge(dp[v][i], d, v,-1,-1); } ans[v] = dpSum_Left[deg].addRoot(); rep(i,deg) { auto [u, ei, d] = g[v][i]; if(u == pv) continue; var np{dpSum_Left[i].dp + dpSum_Right[i+1].dp}; dfs2(u, np.addRoot(), v, -1); } } int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); int n; in(n); rep(i,2*n-2) rd[i] = {-1,-1,-1,-1}; rep(i,n){ in(c[i]); rep(j,c[i]){ int eij; in(eij); eij--; if(rd[2*eij].from == -1) rd[2*eij].from = i, rd[2*eij].fi = j; else rd[2*eij].to = i, rd[2*eij].ti = j; } c[i]++; } rep(i,n-1){ auto [x,y,z,w] = rd[2*i]; rd[2*i+1] = {y,x,w,z}; } rep(i,n) g[i].assign(c[i]-1,{0,0,0}); rep(i,2*n-2){ auto [x,y,z,w] = rd[i]; mint d = mint(x+1).pow(z+1) * mint(y+1).pow(c[y]-w-1); g[x][z] = {y,w,d}; } rep(i,n) ci[i] = mint(i+1).inv().pow(c[i]); dfs1(0); dfs2(0); rep(i,n) out((ans[i].dp-1).val()); }