#include <fstream>
#include <vector>

using namespace std;

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

int v[100000+7];
int tata[100000+7];
int len[100000+7];
int st[100000+7];
int f[100000+7];
int st_len = 0;
vector< int > g[100000+7];

void dfs1(int poz) {
    tata[poz] = st[st_len - v[poz]];
    st[st_len] = poz;
    st_len++;

    /*for(int i = 0; i < st_len; i++) {
        cout << st[i] << " ";
    }
    cout << endl << poz << " " << tata[poz] << endl;*/

    for(int i = 0; i < g[poz].size(); i++) {
        dfs1(g[poz][i]);
    }
    st_len--;
}

int dfs(int poz) {
    if(len[poz] != -1) return len[poz];
    int track = poz;
    track = tata[track];
    len[poz] = dfs(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;
    }

    int start;
    for(int i = 1; i < n; i++) {cin >> x >> y; g[x-1].push_back(y-1); f[y-1] = 1; }
    for(int i = 0; i < n; i++) {
        if(f[i] == 0) start = i;
    }

    st[0] = start;
    dfs1(start);

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


}