import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.complex, std.container, std.math, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } int root(int[] uf, int u) { return (uf[u] < 0) ? u : (uf[u] = uf.root(uf[u])); } bool connect(int[] uf, int u, int v) { u = uf.root(u); v = uf.root(v); if (u == v) return false; if (uf[u] > uf[v]) swap(u, v); uf[u] += uf[v]; uf[v] = u; return true; } enum MO = 10L^^9 + 7; int N; long[] R; int[] U, V; int[][] G; int[] depth; void dfs(int u, int p, int d) { depth[u] = d; foreach (v; G[u]) { if (v != p) { dfs(v, u, d + 1); } } } void main() { try { for (; ; ) { N = readInt(); R = new long[N]; foreach (u; 0 .. N) { R[u] = readLong(); } U = new int[N - 1]; V = new int[N - 1]; foreach (i; 0 .. N - 1) { U[i] = readInt() - 1; V[i] = readInt() - 1; } auto edges = new Tuple!(int, int)[N - 1]; foreach (i; 0 .. N - 1) { if (U[i] < V[i]) { swap(U[i], V[i]); } edges[i] = tuple(U[i], V[i]); } edges.sort!((a, b) => (a[0] < b[0])); auto uf = new int[N]; uf[] = -1; auto mx = iota(N).array; G = new int[][N]; foreach (e; edges) { const u = uf.root(e[0]); const v = uf.root(e[1]); debug { writeln(e, ": ", mx[u], " ", mx[v]); } G[mx[u]] ~= mx[v]; mx[u] = mx[v] = max(mx[u], mx[v]); uf.connect(u, v); } depth = new int[N]; dfs(N - 1, -1, 0); debug { writeln(depth); } long ans = 1; foreach (u; 0 .. N) { ans *= (R[u] + (depth[u] + 1)); ans %= MO; } writeln(ans); } } catch (EOFException e) { } }