#include #include using namespace std; using namespace atcoder; using mint = modint1000000007; const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n; cin >> n; vectorr(n); rep(i, n)cin >> r[i]; vector>to(n); rep(i, n - 1) { int a, b; cin >> a >> b; a--, b--; to[a].push_back(b); to[b].push_back(a); } setst; vectors(n); auto dfs = [&](auto self, int v, int p = -1)->void { vectorvec; while ((st.size())&&((*st.begin()) < v)) { vec.push_back(*st.begin()); st.erase(st.begin()); } st.insert(v); for (auto nv : to[v]) { if (p == nv)continue; self(self, nv, v); while ((st.size()) && ((*st.begin()) < v)) { st.erase(st.begin()); } } s[v] += st.size(); rep(i, vec.size())st.insert(vec[i]); }; dfs(dfs, 0); rep(i, n)reverse(all(to[i])); st.clear(); auto dfs2 = [&](auto self, int v, int p = -1)->void { vectorvec; while ((st.size()) && ((*st.begin()) < v)) { vec.push_back(*st.begin()); st.erase(st.begin()); } s[v] += st.size(); for (auto nv : to[v]) { if (p == nv)continue; self(self, nv, v); while ((st.size()) && ((*st.begin()) < v)) { st.erase(st.begin()); } } rep(i, vec.size())st.insert(vec[i]); st.insert(v); }; dfs2(dfs2, 0); mint ans = 1; rep(i, n)ans *= s[i] + r[i]; cout << ans.val() << endl; return 0; }