#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; template struct Rerooting { const vector>& g; const int n; const int root; vector> dp, sl, sr; Rerooting(const vector>& g, int root=0): g(g), n(g.size()), root(root), dp(n), sl(n), sr(n) { dfs1(root); dfs2(root); } S dfs1(int u, int p=-1) { const int sz = g[u].size(); dp[u].resize(sz); sl[u].resize(sz + 1); sr[u].resize(sz + 1); S res[2]; int f = 0; for(int i = 0; i < sz; i++) { const E& e = g[u][i]; int v = dest(e); if (v == p) { f++; continue; } dp[u][i] = dfs1(v, u).apply(e); res[f] = res[f].merge(dp[u][i]); } return res[0].merge(res[1]); } void dfs2(int u, int p=-1) { const int sz = g[u].size(); { S s; for(int i = 0; i < sz; i++) { s = s.merge(dp[u][i]); sl[u][i + 1] = s; } } { S s; for(int i = sz - 1; i >= 0; i--) { s = dp[u][i].merge(s); sr[u][i] = s; } } for(int i = 0; i < sz; i++) { int v = dest(g[u][i]); if (v == p) continue; const int sz_v = g[v].size(); for(int j = 0; j < sz_v; j++) { const E& e = g[v][j]; int w = dest(e); if (w != u) continue; dp[v][j] = sl[u][i].merge(sr[u][i + 1]).apply(e); break; } dfs2(v, u); } } S get_acc(int v) { return sr[v][0]; } S get_res(int v, E e) { return sr[v][0].apply(e); } private: int dest(const E& e) { if constexpr (is_same::value) return e; else return e.to; }; }; struct E { int from, to; }; struct S { mint vl, vr, kl = 1, kr = 1; S apply(E e) const { e.from++, e.to++; return S{((vl + 1) * e.to * kr + vr) * e.from, 0, e.from, 1}; } S merge(const S& rhs) const { return S{vl + vr * kl, rhs.vl + rhs.vr * rhs.kl, kl * kr, rhs.kl * rhs.kr}; } }; } int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; vector> g(n); VI edge(n - 1); rep(u, n) { int c; cin >> c; rep(_, c) { int e; cin >> e; e--; edge[e] ^= u; g[u].push_back({u, e}); } } rep(u, n) for (auto& [from, to] : g[u]) to = u ^ edge[to]; Rerooting rt(g); rep(u, n) { mint ans = S{}.merge(rt.get_acc(u)).vr; cout << ans.val() << '\n'; } }