#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <deque>
#include <forward_list>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <numeric>
#include <optional>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T> bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; }
template <typename T> bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; }
const std::vector<std::pair<int, int>> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}};
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <class T1, class T2> T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); }
template <class T1, class T2> std::pair<T1, T2> operator+(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first + r.first, l.second + r.second); }
template <class T1, class T2> std::pair<T1, T2> operator-(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first - r.first, l.second - r.second); }
template <class T> std::vector<T> sort_unique(std::vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <class T> int arglb(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); }
template <class T> int argub(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); }
template <class IStream, class T> IStream &operator>>(IStream &is, std::vector<T> &vec) { for (auto &v : vec) is >> v; return is; }

template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec);
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr);
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const pair<T, U> &pa);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa);
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp);
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp);
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl);

template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; }
template <class... T> std::istream &operator>>(std::istream &is, std::tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; }
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; }
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m";
#define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl
#define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr)
#else
#define dbg(x) ((void)0)
#define dbgif(cond, x) ((void)0)
#endif

struct Manager {
    lint lo_sum = 0;
    lint hi_sum = 0;

    multiset<int> lo;
    multiset<int> hi;

    lint solve() {
        if (size() <= 1) return 0;

        const int nlo = lo.size();
        const int nhi = hi.size();

        lint med = *lo.rbegin();
        lint ret = hi_sum - med * nhi + med * nlo - lo_sum;
        if (hi.size()) {
            med = *hi.begin();
            chmin(ret, hi_sum - med * nhi + med * nlo - lo_sum);
        }
        return ret;
    }

    void balance() {

        while (!lo.empty() and !hi.empty() and *lo.rbegin() > *hi.begin()) {
            int max_lo = *lo.rbegin();
            int min_hi = *hi.begin();
            lo.erase(prev(lo.end()));
            hi.erase(hi.begin());
            lo.insert(min_hi);
            hi.insert(max_lo);
            lo_sum += min_hi - max_lo;
            hi_sum += max_lo - min_hi;
        }

        while (lo.size() > hi.size() + 1) {
            hi.insert(*lo.rbegin());
            hi_sum += *lo.rbegin();
            lo_sum -= *lo.rbegin();
            lo.erase(prev(lo.end()));
        }

        while (hi.size() > lo.size()) {
            lo.insert(*hi.begin());
            lo_sum += *hi.begin();
            hi_sum -= *hi.begin();
            hi.erase(hi.begin());
        }
    }

    void add(int x) {
        if (lo.empty() or x <= *lo.rbegin()) {
            lo.insert(x);
            lo_sum += x;
        } else {
            hi.insert(x);
            hi_sum += x;
        }
        balance();
    }

    void erase(int x) {
        if (lo.count(x)) {
            lo.erase(lo.find(x));
            lo_sum -= x;
        } else {
            hi.erase(hi.find(x));
            hi_sum -= x;
        }
        balance();
    }

    int size() const { return lo.size() + hi.size(); }

    int min() const { return *lo.begin(); }

    int max() const { return *hi.rbegin(); }
};

int main() {
    int N;
    cin >> N;
    vector<int> A(N + 1);
    for (auto &a : A) cin >> a;

    vector<vector<int>> to(N + 1);

    for (int e = 0; e < N; ++e) {
        int a, b;
        cin >> a >> b;
        to.at(a).push_back(b);
        to.at(b).push_back(a);
    }

    Manager manager;

    vector<lint> ret(N, -1);

    auto rec = [&](auto &&self, int now, int prv) -> void {
        manager.add(A.at(now));

        if (now) {
            if (manager.size() <= 2) {
                ret.at(now - 1) = -1;
            } else {
                dbg(make_tuple(now, manager.lo, manager.hi, manager.lo_sum, manager.hi_sum));
                int max = manager.max();
                int min = manager.min();
                if (max == min) {
                    ret.at(now - 1) = 1;
                } else {
                    manager.erase(max);
                    lint tmp = manager.solve();
                    manager.add(max);
                    manager.erase(min);
                    chmin(tmp, manager.solve());
                    manager.add(min);
                    ret.at(now - 1) = tmp;
                }
            }
        }

        for (int nxt : to.at(now)) {
            if (nxt == prv) continue;
            self(self, nxt, now);
        }

        manager.erase(A.at(now));
    };

    rec(rec, 0, -1);

    for (auto r : ret) cout << r << '\n';
}