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

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

int n, t[100005], k[100005], res[100005];
vector <int> fii[100005];

void dfs(int x, vector <int> stramosi) {
    if(!k[x])
        res[x] = 0;
    else {
        int str = stramosi[stramosi.size()-k[x]];
        res[x] = res[str]+1;
    }
    stramosi.push_back(x);
    for(int i = 0; i < fii[x].size(); i++)
        dfs(fii[x][i], stramosi);
    stramosi.pop_back();
}

void citire() {
    memset(res, -1, sizeof res);
    fin >> n;
    for(int i = 1; i <= n; i++) {
        fin >> k[i];
        if(!k[i])
            res[i] = 0;
    }
    for(int i = 1; i < n; i++) {
        int x, y;
        fin >> x >> y;
        t[y] = x;
        fii[x].push_back(y);
    }
}

void solve() {
    int root = -1;
    for(int i = 1; i <= n; i++)
        if(t[i] == 0)
            root = i;
    vector <int> s;
    dfs(root, s);
}

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

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