#include <fstream>
#include <vector>
using namespace std;
ifstream cin("cerere.in");
ofstream cout("cerere.out");
const int N = 100000;
int help[N + 1], n, subord[N + 1];
vector <int> L[N + 1], coada, timp(N+1,-1);
void afisare()
{
    for (int i : coada)
        cout << i << ' ';
    cout << endl;
}
void dfs(int x)
{
    coada.push_back(x);
    timp[x] = timp[coada[coada.size() - 1 - help[x]]] + 1;
    for (int y : L[x])
        dfs(y);
    coada.pop_back();
}
int main()
{
    int x, y, inteleptu(1);
    cin >> n;
    for (int i = 1; i <= n; i++)
        cin >> help[i];
    for (int i = 1; i < n; i++)
    {
        cin >> x >> y;
        L[x].push_back(y);
        subord[y] = x;
    }
    while (subord[inteleptu])
    {
        inteleptu = subord[inteleptu];
    }
    dfs(inteleptu);
    for (int i = 1; i <= n; i++)
        cout << timp[i] << ' ';
}