#include <cstdio>
#include <vector>
using namespace std;
const int NMAX = 100005;
bool vf[NMAX];
int k[NMAX], sol[NMAX];
vector <int> v[NMAX];
vector <int> s;
void dfs(int poz)
{
    s.push_back(poz);
    if(k[poz]) {
        sol[poz] = sol[s[s.size() - k[poz] - 1]] + 1;
    }
    else {
        sol[poz] = 0;
    }
    for(auto i : v[poz]) {
        dfs(i);
    }
    s.pop_back();
}

int main()
{
    int n, i, a, b, poz;
    freopen("cerere.in","r",stdin);
    freopen("cerere.out","w",stdout);
    scanf("%d", &n);
    for(i = 1;i <= n; ++i) {
        scanf("%d", &k[i]);
    }
    for(i = 1;i < n; ++i) {
        scanf("%d%d", &a, &b);
        v[a].push_back(b);
        vf[b] = 1;
    }
    for(i = 1;i <= n; ++i) {
        if(vf[i] == 0) {
            poz = i;
        }
    }
    dfs(poz);
    for(i = 1;i <= n; ++i) {
        printf("%d ", sol[i]);
    }
    printf("\n");
    return 0;
}