#include <fstream>

using namespace std;

ifstream cin("cerere.in");
ofstream cout("cerere.out");

int v[100000+7];
int tata[100000+7];
int len[100000+7];

int dfs(int poz) {
    if(len[poz] != -1) return len[poz];
    int track = poz;
    for(int i = 0; i < v[poz]; i++) {
        track = tata[track];
        dfs(track);
    }
    len[poz] = len[track] + 1;
    return len[poz];
}

int main()
{
    int n, x, y; cin >> n;

    for(int i = 0; i < n; i++) {
        cin >> v[i];
        len[i] = -1;
        if(v[i] == 0) len[i] = 0;
    }
    for(int i = 1; i < n; i++) {cin >> x >> y; tata[y-1] = x-1;}


    for(int i = 0; i < n; i++) cout << dfs(i) << " ";


}