#pragma GCC optimize("O2")
#include <algorithm>
#include <array>
#include <bit>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <compare>
#include <complex>
#include <concepts>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numbers>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <ranges>
#include <set>
#include <span>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tuple>
#include <type_traits>
#include <variant>

//#define int ll
#define INT128_MAX (__int128)(((unsigned __int128) 1 << ((sizeof(__int128) * __CHAR_BIT__) - 1)) - 1)
#define INT128_MIN (-INT128_MAX - 1)

#define clock chrono::steady_clock::now().time_since_epoch().count()

#ifdef DEBUG
#define dbg(x) cout << (#x) << " = " << x << '\n'
#else
#define dbg(x)
#endif

namespace R = std::ranges;
namespace V = std::views;

using namespace std;

using ll = long long;
using ull = unsigned long long;
using ldb = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
//#define double ldb

template<class T>
ostream& operator<<(ostream& os, const pair<T, T> pr) {
  return os << pr.first << ' ' << pr.second;
}
template<class T, size_t N>
ostream& operator<<(ostream& os, const array<T, N> &arr) {
  for(const T &X : arr)
    os << X << ' ';
  return os;
}
template<class T>
ostream& operator<<(ostream& os, const vector<T> &vec) {
  for(const T &X : vec)
    os << X << ' ';
  return os;
}
template<class T>
ostream& operator<<(ostream& os, const set<T> &s) {
  for(const T &x : s)
    os << x << ' ';
  return os;
}

template<class T1, class T2>
struct dynamicMedian {
  multiset<T1> left, right;
  T2 lsum = 0, rsum = 0;
  void insert(T1 x) {
    left.insert(x);
    lsum += x;
    if (!right.empty() and (*left.rbegin()) > (*right.begin())) {
      T1 tmpl = *left.rbegin(); 
      left.erase(prev(left.end()));
      T1 tmpr = *right.begin();
      right.erase(right.begin());
      left.insert(tmpr);
      right.insert(tmpl);
      lsum += tmpr - tmpl, rsum += tmpl - tmpr;
    }
    if (ssize(left) > ssize(right) + 1) {
      T1 tmp = *left.rbegin();
      left.erase(prev(left.end()));
      right.insert(tmp);
      lsum -= tmp, rsum += tmp;
    }
  }
  void erase(T1 x) {
    if (left.contains(x)) {
      left.erase(left.find(x));
      lsum -= x;
      if (ssize(left) < ssize(right)) {
        T1 tmp = *right.begin();
        right.erase(right.begin());
        left.insert(tmp);
        lsum += tmp, rsum -= tmp;
      }
    } else if (right.contains(x)) {
      right.erase(right.find(x));
      rsum -= x;
      if (ssize(left) == ssize(right) + 2) {
        T1 tmp = *left.rbegin();
        left.erase(prev(left.end()));
        right.insert(tmp);
        lsum -= tmp, rsum += tmp;
      }
    }
  }
  T1 median() { return *left.rbegin(); }
  T1 min() { return *left.begin(); }
  T1 max() { return right.empty() ? *left.rbegin() : *right.rbegin(); }
  int size() { return ssize(left) + ssize(right); }
  void print() {
    cout << "left: ";
    for(T1 x : left) cout << x << ' ';
    cout << '\n';
    cout << "right: ";
    for(T2 x : right) cout << x << ' ';
    cout << '\n';
  }
};

signed main() {
  ios::sync_with_stdio(false), cin.tie(NULL);

  int n; cin >> n;
  vector<int> a(n + 1);
  for(int &x : a)
    cin >> x;
  vector<vector<int>> g(n + 1);
  for(int i = 0; i < n; i++) {
    int u, v; cin >> u >> v;
    g[u].emplace_back(v);
    g[v].emplace_back(u);
  }

  dynamicMedian<int, ll> s;
  vector<ll> ans(n + 1, LLONG_MAX);
  auto dfs = [&](int v, int p, auto self) -> void {
    s.insert(a[v]);
    dbg(v);
    //s.print();
    if (s.size() > 2 and s.min() != s.max()) {
      int mn = s.min();
      s.erase(mn);
      int med = s.median();
      if (med == mn)
        med++;
      ans[v] = min(ans[v], (ssize(s.left) - ssize(s.right)) * med - s.lsum + s.rsum);
      dbg(mn);
      dbg(med);
      s.insert(mn);
    }
    if (s.size() > 2 and s.min() != s.max()) {
      int mx = s.max();
      s.erase(mx);
      int med = s.median();
      if (med == mx)
        med--;
      ans[v] = min(ans[v], (ssize(s.left) - ssize(s.right)) * med - s.lsum + s.rsum);
      dbg(mx);
      dbg(med);
      s.insert(mx);
    }
    if (s.size() > 2 and s.min() == s.max())
      ans[v] = 1;
    for(int x : g[v])
      if (x != p)
        self(x, v, self);
    s.erase(a[v]);
  };

  dfs(0, -1, dfs);

  dbg(ans);
  for(int i = 1; i <= n; i++)
    cout << (ans[i] == LLONG_MAX ? -1 : ans[i]) << '\n';

  return 0;
}