#include <fstream>
#include <vector>
using namespace std;
ifstream fin("cerere.in");
ofstream fout("cerere.out");
vector<int> vecini[100005];
int stramosi[100005];
int rasp[100005];
vector<int> lant_curent;
void dfs(int nivel){
    for (int i = 0; i < vecini[lant_curent.back()].size(); i++){
        int vecin = vecini[lant_curent.back()][i];
        lant_curent.push_back(vecin);
        if (stramosi[vecin] == 0)
            rasp[vecin] = 0;
        else {
            int lung_lant = lant_curent.size() - 1;
            int stramos = lant_curent[lung_lant - stramosi[vecin]];
            rasp[vecin] = rasp[stramos] + 1;
        }
        dfs(nivel + 1);
        lant_curent.pop_back();
    }
}
int main(){
    int n;
    fin >> n;
    for (int i = 1; i <= n; i++){
        fin >> stramosi[i];
    }
    for (int i = 1; i < n; i++){
        int x, y;
        fin >> x >> y;
        vecini[x].push_back(y);
    }
    rasp[1] = 0;
    lant_curent.push_back(1);
    dfs(1);
    for (int i = 1; i <= n; i++){
        fout << rasp[i] << " ";
    }
    return 0;
}