#include <iostream>
#include <fstream>
#include <vector>
#include <cstring>
using namespace std;

ifstream fin("cerere.in");
ofstream fout("cerere.out");

int n, t[100005], str[100005], k[100005], res[100005];;

void citire() {
    fin >> n;
    for(int i = 1; i <= n; i++)
        fin >> k[i];
    for(int i = 1; i < n; i++) {
        int x, y;
        fin >> x >> y;
        t[y] = x;
    }
}

void solve() {
    for(int i = 1; i <= n; i++) {
        str[i] = i;
        for(int j = 1; j <= k[i]; j++)
            str[i] = t[str[i]];
    }
    memset(res, -1, sizeof res);
    res[1] = 0;

    for(int i = 2; i <= n; i++)
        res[i] = res[str[i]]+1;
}

void afis() {
    for(int i = 1; i <= n; i++)
        fout << res[i] << ' ';
}

int main() {
    citire();
    solve();
    afis();
}