#include using namespace std; using ll = long long; using vi = vector; using vl = vector; #define rep3(i, a, b, c) for (ll i = (a); i < (b); i += (c)) #define rep2(i, a, b) rep3(i, a, b, 1) #define rep1(i, n) rep2(i, 0, n) #define rep0(n) rep1(aaaaa, n) #define ov4(a, b, c, d, name, ...) name #define rep(...) ov4(__VA_ARGS__, rep3, rep2, rep1, rep0)(__VA_ARGS__) template bool chmin(T &a, const S &b) { return a > b ? a = b, 1 : 0; } struct _ { _() { cin.tie(0)->sync_with_stdio(0), cout.tie(0); } } __; int main() { int N; cin >> N; vl W(N); for (ll &i : W) cin >> i; vector G(N); rep(N - 1) { int U, V; cin >> U >> V; --U, --V; G[U].push_back(V); G[V].push_back(U); } vl subtree = W; vi par(N); auto dfs_subtree = [&](auto f, int v, int p) -> ll { par[v] = p; for (int u : G[v]) { if (u != p) subtree[v] += f(f, u, v); } return subtree[v]; }; dfs_subtree(dfs_subtree, 0, -1); ll Wsum = subtree[0]; auto dfs_centroid = [&](auto f, int v, int p) -> int { for (int u : G[v]) if (u != p && subtree[u] * 2 >= Wsum) return f(f, u, v); return v; }; int g = dfs_centroid(dfs_centroid, 0, -1); // 重心を根として部分木サイズを再計算 subtree = W; dfs_subtree(dfs_subtree, g, -1); ll ans = subtree[g]; { set cut1; // sを根とする部分木について調べる for (int s : G[g]) { queue bfs; bfs.push(s); vl d; while (bfs.size()) { int v = bfs.front(); bfs.pop(); d.push_back(subtree[v]); for (int u : G[v]) { if (u != par[v]) { bfs.push(u); } } } // 重心を挟んで異なる部分木を切る場合 // S1 - S2(G) - S3 for (auto w : d) { ll mid = (Wsum - w + 1) / 2; auto it = cut1.lower_bound(mid); if (it != end(cut1)) { ll ma = max(*it, max(w, Wsum - w - (*it))); ll mi = min(*it, min(w, Wsum - w - (*it))); chmin(ans, ma - mi); } if (it != begin(cut1)) it--; if (it != end(cut1)) { ll ma = max(*it, max(w, Wsum - w - (*it))); ll mi = min(*it, min(w, Wsum - w - (*it))); chmin(ans, ma - mi); } } // 重心から同じ部分木を2つに分ける場合 // S1(G) - S2 - S3 for (auto w : d) { ll ma = max(Wsum - subtree[s], max(w, subtree[s] - w)); ll mi = min(Wsum - subtree[s], min(w, subtree[s] - w)); chmin(ans, ma - mi); } for (auto w : d) { cut1.insert(w); } } } cout << ans << '\n'; }