#include using namespace std; typedef long long ll; typedef pair pii; #define all(a) a.begin(), a.end() #define sz(a) ((int)a.size()) #define pb push_back #ifdef Doludu template ostream& operator << (ostream &o, vector vec) { o << "{"; int f = 0; for (T i : vec) o << (f++ ? " " : "") << i; return o << "}"; } void bug__(int c, auto ...a) { cerr << "\e[1;" << c << "m"; (..., (cerr << a << " ")); cerr << "\e[0m" << endl; } #define bug_(c, x...) bug__(c, __LINE__, "[" + string(#x) + "]", x) #define bug(x...) bug_(32, x) #define bugv(x...) bug_(36, vector(x)) #define safe bug_(33, "safe") #else #define bug(x...) void(0) #define bugv(x...) void(0) #define safe void(0) #endif const int mod = 998244353, N = 200087; int main() { ios::sync_with_stdio(false), cin.tie(0); int n; cin >> n; vector a(n); for (int i = 0; i < n; ++i) cin >> a[i]; vector > adj(n); for (int i = 0, u, v; i < n - 1; ++i) { cin >> u >> v, --u, --v; adj[u].pb(v), adj[v].pb(u); } ll tot = accumulate(all(a), 0ll); ll ans = 1ll << 60; auto upd = [&](ll x, ll y) { ans = min(ans, max({x, y, tot - x - y}) - min({x, y, tot - x - y})); }; auto dfs = [&](auto self, int v, int pa) -> multiset { multiset cur; for (int u : adj[v]) if (u != pa) { auto nxt = self(self, u, v); a[v] += a[u]; if (sz(cur) < sz(nxt)) swap(cur, nxt); for (ll i : nxt) { auto it = cur.lower_bound((tot - i) / 2); if (it != cur.end()) { upd(*it, i); } if (it != cur.begin()) { upd(*prev(it), i); } } for (ll i : nxt) { cur.insert(i); } nxt.clear(); } auto it = cur.lower_bound(a[v] / 2); if (it != cur.end()) { upd(*it, a[v] - *it); } if (it != cur.begin()) { upd(*prev(it), a[v] - *prev(it)); } cur.insert(a[v]); return cur; }; dfs(dfs, 0, -1); cout << ans << "\n"; }