#include #include #include #include using ull = unsigned long long; constexpr ull MOD = 1000000007; class UnionFind { public: UnionFind(const std::size_t v) : V(v), parent(v), size(v, 1) { std::iota(parent.begin(), parent.end(), 0); } std::size_t find(const std::size_t a) { return assert(a < V), parent[a] == a ? a : parent[a] = find(parent[a]); } bool same(const std::size_t a, const std::size_t b) { assert(a < V), assert(b < V); return find(a) == find(b); } void unite(std::size_t a, std::size_t b) { assert(a < V), assert(b < V); a = find(a), b = find(b); if (a == b) { return; } if (size[a] < size[b]) { std::swap(a, b); } size[a] += size[b], parent[b] = a; } std::size_t getSize(const std::size_t a) { return assert(a < V), size[find(a)]; } void debugPrint() const { std::cerr << "["; for (std::size_t i = 0; i < parent.size(); i++) { std::cerr << parent[i] << (i + 1 == parent.size() ? "" : ","); } std::cerr << "]\n"; } private: const std::size_t V; std::vector parent, size; }; int main() { std::cin.tie(nullptr); std::ios::sync_with_stdio(false); std::size_t N; std::cin >> N; std::vector R(N); for (std::size_t i = 0; i < N; i++) { std::cin >> R[i]; } std::vector> G(N); for (std::size_t i = 0; i < N - 1; i++) { std::size_t u, v; std::cin >> u >> v, u--, v--; G[u].push_back(v), G[v].push_back(u); } UnionFind uf(N); std::vector max(N); std::vector> G2(N); for (std::size_t i = 0; i < N; i++) { for (const std::size_t to : G[i]) { if (to > i) { continue; } const std::size_t c = max[uf.find(to)]; G2[i].push_back(c), uf.unite(i, c); } max[uf.find(i)] = i; } ull ans = 1; auto dfs = [&](auto&& self, const std::size_t s, const std::size_t d) -> void { (ans *= (R[s] + d) % MOD) %= MOD; for (const std::size_t to : G2[s]) { self(self, to, d + 1); } }; dfs(dfs, N - 1, 1); std::cout << ans << std::endl; return 0; }