#include using namespace std; using lint = long long; template using V = vector; template using VV = V< V >; template struct ModInt { using M = ModInt; unsigned v; ModInt() : v(0) {} ModInt(auto x) : v(x >= 0 ? x % P : (P - -x % P) % P) {} constexpr ModInt(unsigned v, int) : v(v) {} static constexpr unsigned p() { return P; } M operator+() const { return *this; } M operator-() const { return {v ? P - v : 0, 0}; } explicit operator bool() const noexcept { return v; } bool operator!() const noexcept { return !(bool) *this; } M operator*(M r) const { return M(*this) *= r; } M operator/(M r) const { return M(*this) /= r; } M operator+(M r) const { return M(*this) += r; } M operator-(M r) const { return M(*this) -= r; } bool operator==(M r) const { return v == r.v; } bool operator!=(M r) const { return !(*this == r); } M& operator*=(M r) { v = (uint64_t) v * r.v % P; return *this; } M& operator/=(M r) { return *this *= r.inv(); } M& operator+=(M r) { if ((v += r.v) >= P) v -= P; return *this; } M& operator-=(M r) { if ((v += P - r.v) >= P) v -= P; return *this; } M inv() const { int a = v, b = P, x = 1, u = 0; while (b) { int q = a / b; swap(a -= q * b, b); swap(x -= q * u, u); } assert(a == 1); return x; } M pow(auto n) const { if (n < 0) return pow(-n).inv(); M res = 1; for (M a = *this; n; a *= a, n >>= 1) if (n & 1) res *= a; return res; } friend M operator*(auto l, M r) { return M(l) *= r; } friend M operator/(auto l, M r) { return M(l) /= r; } friend M operator+(auto l, M r) { return M(l) += r; } friend M operator-(auto l, M r) { return M(l) -= r; } friend ostream& operator<<(ostream& os, M r) { return os << r.v; } friend istream& operator>>(istream& is, M& r) { lint x; is >> x; r = x; return is; } friend bool operator==(auto l, M r) { return M(l) == r; } friend bool operator!=(auto l, M r) { return !(l == r); } }; using Mint = ModInt<(unsigned) 1e9 + 7>; struct UnionFind { const int n; V<> t, a, l; // root ? -sz : par VV<> c; UnionFind(int n) : n(n), t(n, -1), a(n), l(n), c(n) {} int find(int v) const { return t[v] < 0 ? v : find(t[v]); } void unite(int u, int v) { if ((u = find(u)) == (v = find(v))) return; if (-t[u] < -t[v]) swap(u, v); t[u] += t[v]; t[v] = u; if (l[u]) { for (int w : c[u]) { a[w] += l[u]; l[w] += l[u]; } l[u] = 0; } c[u].push_back(v); } void add(int v) { ++a[find(v)], ++l[find(v)]; } void dfs(int v) { for (int w : c[v]) { a[w] += l[v]; l[w] += l[v]; dfs(w); } } }; int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int n; cin >> n; V<> r(n); for (auto&& e : r) cin >> e; VV<> g(n); for (int i = 0; i < n - 1; ++i) { int u, v; cin >> u >> v, --u, --v; g[u].push_back(v); g[v].push_back(u); } UnionFind uf(n); for (int v = 0; v < n; ++v) { for (int w : g[v]) if (w < v) { uf.unite(v, w); } uf.add(v); } uf.dfs(uf.find(0)); Mint res = 1; for (int v = 0; v < n; ++v) res *= r[v] + uf.a[v]; cout << res << '\n'; }