#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"
using namespace std;

#include<bits/stdc++.h>
#line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp"
namespace noya2 {

template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p){
    os << p.first << " " << p.second;
    return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p){
    is >> p.first >> p.second;
    return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v){
    int s = (int)v.size();
    for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
    return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v){
    for (auto &x : v) is >> x;
    return is;
}

void in() {}
template <typename T, class... U>
void in(T &t, U &...u){
    cin >> t;
    in(u...);
}

void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u){
    cout << t;
    if (sizeof...(u)) cout << sep;
    out(u...);
}

template<typename T>
void out(const vector<vector<T>> &vv){
    int s = (int)vv.size();
    for (int i = 0; i < s; i++) out(vv[i]);
}

struct IoSetup {
    IoSetup(){
        cin.tie(nullptr);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(15);
        cerr << fixed << setprecision(7);
    }
} iosetup_noya2;

} // namespace noya2
#line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp"
namespace noya2{

const int iinf = 1'000'000'007;
const long long linf = 2'000'000'000'000'000'000LL;
const long long mod998 =  998244353;
const long long mod107 = 1000000007;
const long double pi = 3.14159265358979323;
const vector<int> dx = {0,1,0,-1,1,1,-1,-1};
const vector<int> dy = {1,0,-1,0,1,-1,-1,1};
const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string alp = "abcdefghijklmnopqrstuvwxyz";
const string NUM = "0123456789";

void yes(){ cout << "Yes\n"; }
void no(){ cout << "No\n"; }
void YES(){ cout << "YES\n"; }
void NO(){ cout << "NO\n"; }
void yn(bool t){ t ? yes() : no(); }
void YN(bool t){ t ? YES() : NO(); }

} // namespace noya2
#line 1 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp"
namespace noya2{

unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){
    if (a == 0 || b == 0) return a + b;
    int n = __builtin_ctzll(a); a >>= n;
    int m = __builtin_ctzll(b); b >>= m;
    while (a != b) {
        int mm = __builtin_ctzll(a - b);
        bool f = a > b;
        unsigned long long c = f ? a : b;
        b = f ? b : a;
        a = (c - b) >> mm;
    }
    return a << min(n, m);
}

template<typename T> T gcd_fast(T a, T b){ return static_cast<T>(inner_binary_gcd(abs(a),abs(b))); }

long long sqrt_fast(long long n) {
    if (n <= 0) return 0;
    long long x = sqrt(n);
    while ((x + 1) * (x + 1) <= n) x++;
    while (x * x > n) x--;
    return x;
}

template<typename T> T floor_div(const T n, const T d) {
    assert(d != 0);
    return n / d - static_cast<T>((n ^ d) < 0 && n % d != 0);
}

template<typename T> T ceil_div(const T n, const T d) {
    assert(d != 0);
    return n / d + static_cast<T>((n ^ d) >= 0 && n % d != 0);
}

template<typename T> void uniq(vector<T> &v){
    sort(v.begin(),v.end());
    v.erase(unique(v.begin(),v.end()),v.end());
}

template <typename T, typename U> inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; }

template <typename T, typename U> inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; }

template<typename T> inline bool range(T l, T x, T r){ return l <= x && x < r; }

} // namespace noya2
#line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"

#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define repp(i,m,n) for (int i = (m); i < (int)(n); i++)
#define reb(i,n) for (int i = (int)(n-1); i >= 0; i--)
#define all(v) (v).begin(),(v).end()

using ll = long long;
using ld = long double;
using uint = unsigned int;
using ull = unsigned long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
using pil = pair<int,ll>;
using pli = pair<ll,int>;

namespace noya2{

/*　~ (. _________ . /)　*/

}

using namespace noya2;


#line 2 "c.cpp"

#line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp"

#line 4 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp"
#include<ranges>
#line 7 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp"

namespace noya2 {

template<class E>
struct csr {
    csr (int n_ = 0, int m_ = -1) : n(n_), m(m_) {
        if (m >= 0){
            es.reserve(m);
            start.reserve(m);
        }
        if (m == 0){
            build();
        }
    }
    int add(int idx, E elem){
        int eid = start.size();
        es.emplace_back(elem);
        start.emplace_back(idx);
        if (eid+1 == m) build();
        return eid;
    }
    void build(){
        if (m == -2) return ;
        m = start.size();
        std::vector<E> nes(m);
        std::vector<int> nstart(n+2,0);
        for (int i = 0; i < m; i++) nstart[start[i]+2]++;
        for (int i = 1; i < n; i++) nstart[i+2] += nstart[i+1];
        for (int i = 0; i < m; i++) nes[nstart[start[i]+1]++] = es[i];
        swap(es,nes);
        swap(start,nstart);
        m = -2;
    }
    const auto operator[](int idx) const {
        assert(m == -2);
        return std::ranges::subrange(es.begin()+start[idx],es.begin()+start[idx+1]);
    }
    bool is_builded() const {
        return m == -2;
    }
    size_t size() const {
        return n;
    }
  private:
    int n, m;
    std::vector<E> es;
    std::vector<int> start;
};

} // namespace noya2
#line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/compress.hpp"

#line 4 "/Users/noya2/Desktop/Noya2_library/data_structure/compress.hpp"

namespace noya2{

template<typename T> struct compress {
    vector<T> raws;
    compress(const vector<T> &raws_ = {}) : raws(raws_){ build(); }
    int id(const T &raw){ return lb(raw); }
    T raw(const int &id){ return raws[id]; }
    void build(){ uniq(raws); }
    void add(const T &raw){ raws.push_back(raw); }
    size_t size(){ return raws.size(); }
    int lb(const T &raw){ return lower_bound(all(raws),raw) - raws.begin(); }
    int ub(const T &raw){ return upper_bound(all(raws),raw) - raws.begin(); }
    bool contains(const T &raw){
        int jd = lb(raw);
        if (jd < (int)size()) return raws[jd] == raw;
        return false;
    }
    int contains_id(const T &raw){
        int jd = lb(raw);
        if (jd < (int)size() && raws[jd] == raw) return jd;
        return -1;
    }
};

} // namespace noya2
#line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/segment_tree.hpp"

namespace noya2{

template <class S, S (*op)(S, S), S (*e)()> struct segtree {
  public:
    segtree() : segtree(0) {}
    segtree(int n) : segtree(std::vector<S>(n, e())) {}
    segtree(const std::vector<S>& v) : _n(int(v.size())) {
        log = 0;
        size = 1;
        while (size < _n) size <<= 1, log++;

        d = std::vector<S>(2 * size, e());
        for (int i = 0; i < _n; i++) d[size + i] = v[i];
        for (int i = size - 1; i >= 1; i--) {
            update(i);
        }
    }

    void set(int p, S x) {
        assert(0 <= p && p < _n);
        p += size;
        d[p] = x;
        for (int i = 1; i <= log; i++) update(p >> i);
    }

    S get(int p) {
        assert(0 <= p && p < _n);
        return d[p + size];
    }

    S prod(int l, int r) {
        assert(0 <= l && l <= r && r <= _n);
        S sml = e(), smr = e();
        l += size;
        r += size;

        while (l < r) {
            if (l & 1) sml = op(sml, d[l++]);
            if (r & 1) smr = op(d[--r], smr);
            l >>= 1;
            r >>= 1;
        }
        return op(sml, smr);
    }

    S all_prod() { return d[1]; }

    template <bool (*f)(S)> int max_right(int l) {
        return max_right(l, [](S x) { return f(x); });
    }
    template <class F> int max_right(int l, F f) {
        assert(0 <= l && l <= _n);
        assert(f(e()));
        if (l == _n) return _n;
        l += size;
        S sm = e();
        do {
            while (l % 2 == 0) l >>= 1;
            if (!f(op(sm, d[l]))) {
                while (l < size) {
                    l = (2 * l);
                    if (f(op(sm, d[l]))) {
                        sm = op(sm, d[l]);
                        l++;
                    }
                }
                return l - size;
            }
            sm = op(sm, d[l]);
            l++;
        } while ((l & -l) != l);
        return _n;
    }

    template <bool (*f)(S)> int min_left(int r) {
        return min_left(r, [](S x) { return f(x); });
    }
    template <class F> int min_left(int r, F f) {
        assert(0 <= r && r <= _n);
        assert(f(e()));
        if (r == 0) return 0;
        r += size;
        S sm = e();
        do {
            r--;
            while (r > 1 && (r % 2)) r >>= 1;
            if (!f(op(d[r], sm))) {
                while (r < size) {
                    r = (2 * r + 1);
                    if (f(op(d[r], sm))) {
                        sm = op(d[r], sm);
                        r--;
                    }
                }
                return r + 1 - size;
            }
            sm = op(d[r], sm);
        } while ((r & -r) != r);
        return 0;
    }

  private:
    int _n, size, log;
    std::vector<S> d;

    void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};

} // namespace noya2
#line 6 "c.cpp"

pll op(pll a, pll b){
    return pll(a.first+b.first,a.second+b.second);
}
pll e(){
    return pll(0,0);
}

void solve(){
    int n; in(n);
    n++;
    vector<ll> a(n); in(a);
    compress<ll> cp(a);
    csr<int> g(n,(n-1)*2);
    rep(i,n-1){
        int u, v; in(u,v);
        g.add(u,v);
        g.add(v,u);
    }
    segtree<pll,op,e> seg([&]{
        vector<pll> b(cp.size(),e());
        return b;
    }());
    auto f = [&](ll k){
        auto comp = [&](pll x){
            return x.second <= k;
        };
        return seg.max_right(0,comp);
    };
    auto add = [&](ll x){
        int id = cp.id(x);
        auto v = seg.get(id);
        v.first += x;
        v.second += 1;
        seg.set(id,v);
    };
    auto del = [&](ll x){
        int id = cp.id(x);
        auto v = seg.get(id);
        v.first -= x;
        v.second -= 1;
        seg.set(id,v);
    };
    vector<ll> ans(n,linf);
    auto dfs = [&](auto sfs, int v, int fr) -> void {
        add(a[v]);
        auto [tot, cnt] = seg.all_prod();
        if (cnt <= 2){
            chmin(ans[v],-1);
        }
        else if (f(0) == f(cnt-1)){
            chmin(ans[v],1);
        }
        else {
            // del min
            {
                ll mi = cp.raw(f(0));
                del(mi);
                int mid = f((cnt-1)/2);
                auto [lsum, lcnt] = seg.prod(0,mid);
                auto [rsum, rcnt] = seg.prod(mid,cp.size());
                ll cur = 0;
                cur += lcnt * cp.raw(mid) - lsum;
                cur += rsum - rcnt * cp.raw(mid);
                chmin(ans[v],cur);
                add(mi);
            }
            // del max
            {
                ll ma = cp.raw(f(cnt-1));
                del(ma);
                int mid = f((cnt-1)/2);
                auto [lsum, lcnt] = seg.prod(0,mid);
                auto [rsum, rcnt] = seg.prod(mid,cp.size());
                ll cur = 0;
                cur += lcnt * cp.raw(mid) - lsum;
                cur += rsum - rcnt * cp.raw(mid);
                chmin(ans[v],cur);
                add(ma);
            }
        }
        for (int u : g[v]){
            if (u == fr) continue;
            sfs(sfs,u,v);
        }
        del(a[v]);
    };
    dfs(dfs,0,-1);
    repp(i,1,n) out(ans[i]);
}

int main(){
    int t = 1; //in(t);
    while (t--) { solve(); }
}