#include using namespace std; using ll = long long; using pii = pair; using pll = pair; 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__) #define per(i, a, b) for (ll i = (a) - 1; i >= (b); i--) #define fore(e, v) for (auto &&e : v) #define all(a) begin(a), end(a) #define sz(a) (int)(size(a)) #define lb(v, x) (lower_bound(all(v), x) - begin(v)) #define eb emplace_back template bool chmin(T &a, const S &b) { return a > b ? a = b, 1 : 0; } template bool chmax(T &a, const S &b) { return a < b ? a = b, 1 : 0; } const int INF = 1e9 + 100; const ll INFL = 3e18 + 100; #define i128 __int128_t struct _ { _() { cin.tie(0)->sync_with_stdio(0), cout.tie(0); } } __; int main() { int N; cin >> N; vl W(N); fore(i, W) cin >> i; ll sumW = accumulate(all(W), 0ll); vector G(N, vi()); rep(N - 1) { int A, B; cin >> A >> B; --A, --B; G[A].push_back(B); G[B].push_back(A); } vl subt = W; auto dfs = [&](auto f, int v, int p) -> ll { for (int u : G[v]) { if (u != p) subt[v] += f(f, u, v); } return subt[v]; }; dfs(dfs, 0, -1); vector> wmemo(N); vector *> wset(N); rep(i, N) { wset[i] = &wmemo[i]; } ll ans = sumW; auto calc_ans = [&](auto f, int v, int p) -> void { for (int u : G[v]) { if (u != p) f(f, u, v); } for (int u : G[v]) { if (u != p) { if (sz(*wset[v]) < sz(*wset[u])) { swap(wset[v], wset[u]); } for (ll s1 : *wset[u]) { auto it = (*wset[v]).lower_bound((sumW - s1 + 1) / 2); if (it != (*wset[v]).end()) { chmin(ans, max({s1, (*it), sumW - s1 - (*it)}) - min({s1, (*it), sumW - s1 - (*it)})); } if (it != (*wset[v]).begin()) { --it; chmin(ans, max({s1, (*it), sumW - s1 - (*it)}) - min({s1, (*it), sumW - s1 - (*it)})); } } for (ll s1 : *wset[u]) { wset[v]->insert(s1); } } } if (p != -1) { auto it = (*wset[v]).lower_bound((subt[v] + 1) / 2); if (it != (*wset[v]).end()) { chmin(ans, max({sumW - subt[v], (*it), subt[v] - (*it)}) - min({sumW - subt[v], (*it), subt[v] - (*it)})); } if (it != (*wset[v]).begin()) { --it; chmin(ans, max({sumW - subt[v], (*it), subt[v] - (*it)}) - min({sumW - subt[v], (*it), subt[v] - (*it)})); } } wset[v]->insert(subt[v]); }; calc_ans(calc_ans, 0, -1); cout << ans << '\n'; }