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// {{{
#define _USE_MATH_DEFINES
#include <bits/stdc++.h>

#define each(...)    for (auto& __VA_ARGS__)
#define rep(i, b, e) for (int i = (b); i <= (e); i++)
#define rev(i, b, e) for (int i = (e); i >= (b); i--)
#define mp make_pair
#define mt make_tuple
#define x first
#define y second
#define pb push_back
#define all(x) (x).begin(), (x).end()
#ifdef SPONGE
#define dbg(f, ...) fprintf(stderr, "\033[1;33m" f "\033[0m", ##__VA_ARGS__)
#else
#define dbg(...) 1
#endif
#define tC template<class

using namespace std;

tC T> using V = vector<T>;
tC T1, class T2> using P = pair<T1,T2>;
tC T, class C=greater<T>> using PQ = priority_queue<T,V<T>,C>;

using ll = long long;
using ld = long double;
using ul = unsigned long long;
using pii = P<int,int>;
using pll = P<ll,ll>;
using pld = P<ld,ld>;
using vi = V<int>;
using vll = V<ll>;
using vld = V<ld>;
using vb = V<bool>;
using vs = V<string>;
using vpii = V<pii>;
using vpll = V<pll>;
using vpld = V<pld>;

tC T> int sz(const T& a) { return (int)a.size(); }
tC T> bool amin(T& a, T b) { return b < a ? a = b, 1 : 0; }
tC T> bool amax(T& a, T b) { return b > a ? a = b, 1 : 0; }

const size_t rseed = 4488;
// chrono::high_resolution_clock::now().time_since_epoch().count();
mt19937 rnd(rseed);
tC T> T rand(T lo, T hi) { return uniform_int_distribution<T>{lo,hi}(rnd); }

const int oo = 1e9 + 1;
const ll OO = 1e18 + 1;

namespace { void solve(); }
// }}}

int main()
{
  int t = 1;
  // scanf("%d", &t);
  rep(i, 1, t) {
    // printf("Case #%d: ", i);
    solve();
  }
}

namespace {

//https://cp-algorithms.com/graph/strongly-connected-components.html
vector<vector<int>> adj, adj_rev;
vector<bool> used;
vector<int> order, component;

void dfs1(int v) {
    used[v] = true;

    for (auto u : adj[v])
        if (!used[u])
            dfs1(u);

    order.push_back(v);
}

void dfs2(int v) {
    used[v] = true;
    component.push_back(v);

    for (auto u : adj_rev[v])
        if (!used[u])
            dfs2(u);
}


vector<int> roots;
vector<int> root_nodes;
vector<vector<int>> adj_scc;
vi ile;
vb odw;

int suma;
void jazda(int x)
{
  suma += ile[x];
  odw[x] = true;
  each(y : adj_scc[x]) {
    if (!odw[y]) {
      jazda(y);
    }
  }
}

const int N = 100000 + 15;
int odp[N];

void scc(int n) {
    used.assign(n, false);

    for (int i = 0; i < n; i++)
        if (!used[i])
            dfs1(i);

    used.assign(n, false);
    reverse(order.begin(), order.end());

    /*
    for (auto v : order)
        if (!used[v]) {
            dfs2 (v);

            // ... processing next component ...

            component.clear();
        }
    */

    roots.resize(n, 0);
    adj_scc.resize(n);
    ile.resize(n, 0);

    for (auto v : order)
        if (!used[v]) {
            dfs2(v);

            int root = component.front();
            for (auto u : component) roots[u] = root;
            root_nodes.push_back(root);
            ile[root] = sz(component);

            /*
            dbg("Komp:");
            each(x : component) dbg("%d ", x);
            dbg("\n");
            */

            component.clear();
        }

    for (int v = 0; v < n; v++)
        for (auto u : adj[v]) {
            int root_v = roots[v],
                root_u = roots[u];

            if (root_u != root_v)
                adj_scc[root_v].push_back(root_u);
        }

    odw.resize(n);
    each(r : root_nodes) {
      rep(v, 0, n - 1) odw[v] = false;
      suma = 0;
      jazda(r);
      odp[r] = suma;
    }

    rep(i, 0, n - 1) {
      odp[i] = odp[roots[i]];
    }
}

int n;
ll r[N], odl[N];
vpll drze[N];

int skad;
ll zasieg;
void dfs(int x, int p)
{
  each([y, d] : drze[x]) {
    if (y != p) {
      odl[y] = odl[x] + d;
      if (zasieg >= odl[y]) {
        adj[skad].pb(y);
        adj_rev[y].pb(skad);
        dfs(y, x);
      }
    }
  }
}

void solve()
{
  //dbg("%.2lf\n", sizeof(odl) / 1024.0 / 1024.0);
  scanf("%d", &n);

  rep(i, 0, n - 1) {
    scanf("%lld", &r[i]);
  }

  rep(i, 1, n - 1) {
    int x, y;
    ll d;
    scanf("%d %d %lld", &x, &y, &d);
    x--;
    y--;
    drze[x].pb(mp(y, d));
    drze[y].pb(mp(x, d));
  }

  adj.resize(n);
  adj_rev.resize(n);

  rep(i, 0, n - 1) {
    rep(j, 0, n - 1) odl[j] = 0;
    skad = i;
    zasieg = r[i];
    dfs(i, -1);
  }

  scc(n);

  rep(i, 0, n - 1) {
    printf("%d ", odp[i]);
  }
  printf("\n");
}

}