#include <iostream>
#include <fstream>
#include <vector>

using namespace std;

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

const int NMAX = 100003;
vector<int> g[NMAX];
vector<int> stramosi;
int dp[NMAX], v[NMAX];
bool apare[NMAX];

void dfs(int nod) {
    if (v[nod] == 0)
        dp[nod] = 0;
    else
        dp[nod] = dp[stramosi[stramosi.size() - v[nod]]] + 1;

    stramosi.push_back(nod);

    for (auto nxt : g[nod]) {
        dfs(nxt);
    }

    stramosi.pop_back();
}

int main() {

    int n;
    fin >> n;
    for (int i = 1; i <= n; i++) {
        fin >> v[i];
    }
    for (int i = 1; i <= n - 1; i++) {
        int x, y;
        fin >> x >> y;
        g[x].push_back(y);
        apare[y] = true;
    }

    int s = 0;
    for (int i = 1; i <= n; i++) {
        if (!apare[i]) {
            s = i;
            break;
        }
    }

    dfs(s);

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



    return 0;
}