//テンプレート //Visual Studio用 #define _CRT_SECURE_NO_WARNINGS #include using namespace std; template bool chmin(T& a, T b) { return a > b ? a = b, true : false; } template bool chmax(T& a, T b) { return a < b ? a = b, true : false; } templateistream& operator>>(istream& is, vector& v) { for (auto& e : v)is >> e; return is; } templateostream& operator<<(ostream& os, vector& v) { for (auto& e : v)os << e << " "; return os; } using ll = long long; using ull = unsigned long long; using uint = unsigned int; template struct Edge { int to; T weight; Edge(int t, T w) :to(t), weight(w) {} bool operator==(Edge e) { return this->to == e.to and this->weight == e.weight; } bool operator<(Edge e) { if (this->to < e.to) { return this->weight <= e.weight; } else return false; } }; template class Graph { using graph_ = vector>>; graph_ g; public: Graph(int n) :g(n) {} graph_::iterator begin() { return g.begin(); } graph_::const_iterator begin() const { return g.begin(); } graph_::iterator end() { return g.end(); } graph_::const_iterator end() const { return g.end(); } vector>& operator [](int v) { return g[v]; } const graph_& data() { return g; } void add(int u, int v, T w = 1) { g[u].emplace_back(Edge{ v, w }); } void wadd(int u, int v, T w = 1) { add(u, v, w); add(v, u, w); } void add(int u, Edge edge) { g[u].emplace_back(edge); } }; //Atcoder Library /**/ #include using namespace atcoder; using mint = modint998244353; //using mint = modint1000000007; //using mint = dynamic_modint<0>; //using mint = modint; //mint::set_mod(); istream& operator>>(istream& is, mint& x) { ll r; cin >> r; x = r; return is; } ostream& operator<<(ostream& os, mint& x) { cout << x.val(); return os; } /**/ #define SHOW(n) cerr << #n << " = " << n << endl; /* ここまでテンプレート */ int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int n; cin >> n; vector a(n, 0); vector siz(n); for (int i = 0; i < n; ++i) { string s; cin >> s; siz[i] = s.size(); for (int j = 0; j < s.size(); ++j) { if (j != 0) a[i] *= 10; a[i] += s[j] - '0'; } } Graph g(n); for (int i = 0; i < n - 1; ++i) { int a, b; cin >> a >> b; --a; --b; g.wadd(a, b); } vector dp(n, 0); vector> dp_aux(n); vector bubun(n, 0); auto dfs1 = [&](auto&& f, int v, int prev)->mint { mint res = 0; const int deg = g[v].size(); dp_aux[v].resize(deg); for (int i = 0; i < deg; ++i) { int s = g[v][i].to; if (s == prev)continue; f(f, s, v); dp_aux[v][i] = dp[s]; res = res + dp_aux[v][i]; bubun[v] += bubun[s]; } bubun[v] += 1; res *= mint(10).pow(siz[v]); res += a[v] * (bubun[v]); return dp[v] = res; }; dfs1(dfs1, 0, -1); auto dfs2 = [&](auto&& f, int v, int prev, mint pval, int subsiz)->void { const int deg = g[v].size(); for (int i = 0; i < deg; ++i) { if (g[v][i].to == prev)dp_aux[v][i] = pval; } // 左右からdp_aux[v][i]の累積和を取る vector accl(deg + 1, 0), accr(deg + 1, 0); for (int i = 0; i < deg; ++i) { accl[i + 1] = accl[i] + dp_aux[v][i]; } for (int i = deg - 1; i >= 0; --i) { accr[i] = accr[i + 1] + dp_aux[v][i]; } dp[v] = accl[deg]; dp[v] *= mint(10).pow(siz[v]); dp[v] += a[v] * (subsiz + bubun[v]); // 行きがけ順で探索する for (int i = 0; i < deg; ++i) { int s = g[v][i].to; if (s == prev)continue; mint val = accl[i] + accr[i + 1]; val *= mint(10).pow(siz[v]); val += a[v] * (n - bubun[s]); f(f, s, v, val, n - bubun[s]); } }; dfs2(dfs2, 0, -1, 0, 0); mint res = reduce(dp.begin(), dp.end()); cout << res.val() << endl; return 0; }