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//
#ifndef __SIZEOF_INT128__
#define __SIZEOF_INT128__
#endif
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/priority_queue.hpp>
using namespace std;
using namespace chrono;
using namespace __gnu_pbds;
template <typename T> using oset =  tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define rep(i, p, k) for(int i(p); i < k; ++i)
#define per(i, p, k) for(int i(p); i > k; --i)
#define sz(x) (int)x.size()
#define sc static_cast
typedef long long ll;
typedef long double ld;
typedef unsigned int uint;
typedef unsigned long long ull;
typedef __int128_t lll;
//#define int ll
template <typename T = int> using par = std::pair <T, T>;
#define fir first
#define sec second
#define test int _number_of_tests(in()); while(_number_of_tests--)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define pb emplace_back
struct Timer {
    string name{""};
    time_point<high_resolution_clock> end, start{high_resolution_clock::now()};
    duration<float, std::milli> dur;
    Timer() = default;
    Timer(string name): name(name) {}
    ~Timer() {
        end = high_resolution_clock::now(); dur= end - start;
        cout << "@" << name << "> " << dur.count() << " ms" << '\n';
    }
};
template <typename T = int> inline T in()
{
    T x;
    std::cin >> x;
    return x;
}
std::string yn(bool b)
{
    if(b) return "YES\n";
    else return "NO\n";
}
template <typename F, typename S> std::ostream& operator<<(std::ostream& out, const std::pair <F, S>& par);
template <typename T> std::ostream& operator<< (std::ostream& out, const std::vector <T>& wek)
{
    for(const auto& i : wek)out << i << ' ';
    return out;
}
template <typename F, typename S> std::ostream& operator<<(std::ostream& out, const std::pair <F, S>& par)
{
    out << '{'<<par.first<<", "<<par.second<<"}";
    return out;
}
#define show(x) cout << #x << " = " << x << '\n';
constexpr int MAXN = 100003;
vector <pair <int, ll>> graf[MAXN];
vector <int> dost[MAXN];
ll raz[MAXN];
void dfs(int p, int w, ll j, int o = 0)
{
    if(p != w)dost[p].pb(w);
    for(auto [i, k]: graf[w])if(i != o && k <= j)dfs(p, i, j-k, w);
}
bool byl[MAXN];
int dfs2(int w)
{
    if(byl[w])return 0;
    byl[w] = 1;
    int s(1);
    for(auto i: dost[w])s += dfs2(i);
    return s;
}
std::int32_t main()
{
    std::cin.tie(nullptr); std::cout.tie(nullptr); std::ios_base::sync_with_stdio(0);
    int n(in()), a, b, c;
    rep(i, 1, n+1)cin >> raz[i];
    rep(i, 1, n){
        cin >> a >> b >> c;
        graf[a].pb(b, c);
        graf[b].pb(a, c);
    }
    rep(i, 1, n+1)dfs(i, i, raz[i]);
    rep(i, 1, n+1){
        rep(i, 1, n+1)byl[i] = 0;
        cout << dfs2(i) << ' ';
    }
    cout << '\n';
    return 0;
}