// github.com/Johniel/contests // yukicoder/2360/main.cpp #include #define each(i, c) for (auto& i : c) #define unless(cond) if (!(cond)) // #define endl "\n" using namespace std; template ostream& operator << (ostream& os, 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, vector v) { os << "("; for (auto& i: v) os << i << ","; os << ")"; return os; } template istream& operator >> (istream& is, vector& v) { for (auto& i: v) is >> i; return is; } template ostream& operator << (ostream& os, set s) { os << "#{"; for (auto& i: s) os << i << ","; os << "}"; return os; } template ostream& operator << (ostream& os, map m) { os << "{"; for (auto& i: m) os << i << ","; os << "}"; return os; } template istream& operator >> (istream& is, array& a) { for (auto& i: a) is >> i; return is; } template ostream& operator << (ostream& os, array& a) { os << "[" << N << "]{"; for (auto& i: a) os << i << ","; os << "}"; return os; } template inline T setmax(T& a, T b) { return a = std::max(a, b); } template inline T setmin(T& a, T b) { return a = std::min(a, b); } __attribute__((constructor)) static void ___initio(void) { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.setf(ios_base::fixed); cout.precision(15); return ; } using lli = long long int; using ull = unsigned long long; using str = string; template using vec = vector; constexpr array di({0, 1, -1, 0, 1, -1, 1, -1}); constexpr array dj({1, 0, 0, -1, 1, -1, -1, 1}); constexpr lli mod = 998244353; vec p10; vec a; const int N = 1e5 + 2; vec> g; vec> v; int n; pair // child, sum rec(int curr, int prev) { const lli w = p10[to_string(a[curr]).size()]; lli z = a[curr]; int c = 1; each (next, g[curr]) { if (next == prev) continue; pair p = rec(next, curr); c += p.first; lli x = p.first * a[curr] % mod; lli y = p.second * w % mod; (z += x + y) %= mod; } return v[curr] = make_pair(c, z); } lli fn(int curr, int prev, lli p) { lli q = p; const lli w = p10[to_string(a[curr]).size()]; p = (p * w % mod) + ((n - v[curr].first) * (a[curr] % mod) % mod); p %= mod; lli z = p + v[curr].second; each (next, g[curr]) { if (next == prev) continue; lli whole = (p + v[curr].second) % mod; lli x = v[next].first * a[curr] % mod; lli y = v[next].second * w % mod; lli child = (x + y) % mod; lli np = (whole - child + mod) % mod; z += fn(next, curr, np); } return z; } int main(int argc, char *argv[]) { p10.resize(100); p10[0] = 1; for (int i = 1; i < p10.size(); ++i) { p10[i] = p10[i - 1] * 10 % mod; } while (cin >> n) { v.resize(n); g.clear(); g.resize(n, vec()); a.resize(n); cin >> a; for (int i = 0; i < n - 1; ++i) { int x, y; cin >> x >> y; --x; --y; g[x].push_back(y); g[y].push_back(x); } rec(0, 0); lli w = fn(0, 0, 0); cout << w%mod << endl; } return 0; }