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#include <bits/stdc++.h>
using namespace std;
using ll = long long;

#ifdef DEBUG
#include "debug.h"
#else
#define debug(...) ;
#endif

#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)

#define rep(i, n) for (int i = 0; i < (n); ++i)
#define repp(i, n, m) for (int i = (n); i < (m); ++i)

#define repr(i, n) for (int i = (n) - 1; i >= 0; --i)
#define reppr(i, n, m) for (int i = (m) - 1; i >= (n); --i)

using vi = vector<int>;
using vvi = vector<vi>;
using vll = vector<ll>;
using pi = pair<int, int>;
using pll = pair<ll, ll>;

template <typename T, typename V> void mini(T& a, V b) {if (b < a) a = b; }
template <typename T, typename V> void maxi(T& a, V b) {if (b > a) a = b; }

namespace atcoder {
namespace internal {

template <class E> struct csr {
    std::vector<int> start;
    std::vector<E> elist;
    explicit csr(int n, const std::vector<std::pair<int, E>>& edges)
        : start(n + 1), elist(edges.size()) {
        for (auto e : edges) {
            start[e.first + 1]++;
        }
        for (int i = 1; i <= n; i++) {
            start[i] += start[i - 1];
        }
        auto counter = start;
        for (auto e : edges) {
            elist[counter[e.first]++] = e.second;
        }
    }
};

// Reference:
// R. Tarjan,
// Depth-First Search and Linear Graph Algorithms
struct scc_graph {
  public:
    explicit scc_graph(int n) : _n(n) {}

    int num_vertices() { return _n; }

    void add_edge(int from, int to) { edges.push_back({from, {to}}); }

    // @return pair of (# of scc, scc id)
    std::pair<int, std::vector<int>> scc_ids() {
        auto g = csr<edge>(_n, edges);
        int now_ord = 0, group_num = 0;
        std::vector<int> visited, low(_n), ord(_n, -1), ids(_n);
        visited.reserve(_n);
        auto dfs = [&](auto self, int v) -> void {
            low[v] = ord[v] = now_ord++;
            visited.push_back(v);
            for (int i = g.start[v]; i < g.start[v + 1]; i++) {
                auto to = g.elist[i].to;
                if (ord[to] == -1) {
                    self(self, to);
                    low[v] = std::min(low[v], low[to]);
                } else {
                    low[v] = std::min(low[v], ord[to]);
                }
            }
            if (low[v] == ord[v]) {
                while (true) {
                    int u = visited.back();
                    visited.pop_back();
                    ord[u] = _n;
                    ids[u] = group_num;
                    if (u == v) break;
                }
                group_num++;
            }
        };
        for (int i = 0; i < _n; i++) {
            if (ord[i] == -1) dfs(dfs, i);
        }
        for (auto& x : ids) {
            x = group_num - 1 - x;
        }
        return {group_num, ids};
    }

    std::vector<std::vector<int>> scc() {
        auto ids = scc_ids();
        int group_num = ids.first;
        std::vector<int> counts(group_num);
        for (auto x : ids.second) counts[x]++;
        std::vector<std::vector<int>> groups(ids.first);
        for (int i = 0; i < group_num; i++) {
            groups[i].reserve(counts[i]);
        }
        for (int i = 0; i < _n; i++) {
            groups[ids.second[i]].push_back(i);
        }
        return groups;
    }

    int _n;
    struct edge {
        int to;
    };
    std::vector<std::pair<int, edge>> edges;
};

}  // namespace internal

struct scc_graph {
  public:
    scc_graph() : internal(0) {}
    explicit scc_graph(int n) : internal(n) {}

    void add_edge(int from, int to) {
        int n = internal.num_vertices();
        assert(0 <= from && from < n);
        assert(0 <= to && to < n);
        internal.add_edge(from, to);
    }

    std::vector<std::vector<int>> scc() { return internal.scc(); }

    internal::scc_graph internal;
};

}  // namespace atcoder

atcoder::scc_graph sccG;

using edges_w = vector<pair<int, ll>>;
vector<edges_w> G;

void dfs_init(int i, int p, ll r, int fr) {
    for (auto [n, c] : G[i]) {
        if (n == p || c > r)
            continue;

        sccG.add_edge(fr, n);

        if (c != r)
            dfs_init(n, i, r - c, fr);
    }
}

template <size_t BSZ>
vi find_pre(vvi &acyc, vi& multip) {
    int n = acyc.size();
    assert(n <= (int)BSZ && (int)multip.size() == n);

    vi ans(n);
    vector<bitset<BSZ>> dp(n);

    repr(i, n) {
        dp[i][i] = true;

        for (int j : acyc[i])
            dp[i] |= dp[j];

        for (int j = i; j < n; ++j) {
            if (dp[i][j])
                ans[i] += multip[j];
        }
    }

    return ans;
}

void solve() {
    int n;
    cin >> n;

    vector<ll> r(n);
    for (ll &l : r) cin >> l;

    sccG = atcoder::scc_graph(n);
    G.resize(n);

    debug();

    rep(_, n-1) {
        int a, b;
        ll c;
        cin >> a >> b >> c;
        --a; --b;

        G[a].emplace_back(b, c);
        G[b].emplace_back(a, c);
    }

    debug();

    rep(i, n) {
        dfs_init(i, -1, r[i], i);
    }

    debug();

    auto sccs = sccG.scc();
    debug(sccs);
    int sccs_sz = (int)sccs.size();

    vi where(n);
    vi multip(sccs_sz);

    debug();

    rep(id, sccs_sz) {
        multip[id] = sccs[id].size();
        for (int j : sccs[id])
            where[j] = id;
    }

    debug();

    vector<vector<bool>> seen(sccs_sz, vector<bool>(sccs_sz));
    vvi acycG(sccs_sz);

    for (auto [a, bb] : sccG.internal.edges) {
        a = where[a];
        int b = where[bb.to];

        if (seen[a][b])
            continue;

        seen[a][b] = true;
        acycG[a].push_back(b);
    }

    debug(acycG, where, multip);

    vi ans;

    if (sccs_sz < 20)
        ans = find_pre<20>(acycG, multip);
    else if (sccs_sz < 255)
        ans = find_pre<255>(acycG, multip);
    else if (sccs_sz < 505)
        ans = find_pre<505>(acycG, multip);
    else if (sccs_sz < 755)
        ans = find_pre<755>(acycG, multip);
    else if (sccs_sz < 1005)
        ans = find_pre<1005>(acycG, multip);
    else if (sccs_sz < 1225)
        ans = find_pre<1225>(acycG, multip);
    else if (sccs_sz < 1505)
        ans = find_pre<1505>(acycG, multip);
    else if (sccs_sz < 2005)
        ans = find_pre<2005>(acycG, multip);
    else if (sccs_sz < 2505)
        ans = find_pre<2505>(acycG, multip);
    else if (sccs_sz < 3005)
        ans = find_pre<3005>(acycG, multip);
    else if (sccs_sz < 3505)
        ans = find_pre<3505>(acycG, multip);
    else if (sccs_sz < 4005)
        ans = find_pre<4005>(acycG, multip);
    else if (sccs_sz < 4505)
        ans = find_pre<4505>(acycG, multip);
    else if (sccs_sz < 5005)
        ans = find_pre<5005>(acycG, multip);
    else if (sccs_sz < 5505)
        ans = find_pre<5505>(acycG, multip);
    else if (sccs_sz < 6005)
        ans = find_pre<6005>(acycG, multip);
    else if (sccs_sz < 7005)
        ans = find_pre<7005>(acycG, multip);
    else if (sccs_sz < 8005)
        ans = find_pre<8005>(acycG, multip);
    else if (sccs_sz < 9005)
        ans = find_pre<9005>(acycG, multip);
    else if (sccs_sz < 10005)
        ans = find_pre<10005>(acycG, multip);
    else if (sccs_sz < 12005)
        ans = find_pre<12005>(acycG, multip);
    else if (sccs_sz < 14005)
        ans = find_pre<14005>(acycG, multip);
    else if (sccs_sz < 16005)
        ans = find_pre<16005>(acycG, multip);
    else if (sccs_sz < 18005)
        ans = find_pre<18005>(acycG, multip);
    else if (sccs_sz < 20005)
        ans = find_pre<20005>(acycG, multip);
    else if (sccs_sz < 25005)
        ans = find_pre<25005>(acycG, multip);
    else if (sccs_sz < 30005)
        ans = find_pre<30005>(acycG, multip);
    else if (sccs_sz < 50005)
        ans = find_pre<50005>(acycG, multip);
    else
        ans = find_pre<100005>(acycG, multip);

    rep(i, n)
        cout << ans[where[i]] << ' ';
    cout << '\n';
}

int main() {
#ifndef DEBUG
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
#endif
    int z = 1;
    // scanf("%d", &z);
    while (z--)
        solve();
    return 0;
}