#include <fstream>
#include <vector>
using namespace std;
const int N = 100005;
ifstream f("cerere.in");
ofstream g("cerere.out");

int n,k;
int str[N];
int vect[N];
int rez[N];
vector <int> v[N];
bool viz[N];
void afisare(int x)
{
    for(int i = 1; i<= k;i++)
    {
        g<<vect[i]<<" ";
    }
    g<<"|"<<str[x];
    g<<"\n\n";
}
void dfs(int p)
{
    viz[p] = 1;
    k++;
    vect[k] = p;

    if(str[p] > 0)
    {
        //g<<k<<" "<<str[p]<<" "<<k-str[p]<<"\n";
        rez[p] = rez[vect[k-str[p]]] + 1;
    }
    else
    {
        rez[p] = 0;
    }
    //afisare(p);
    for(int i = 0; i < v[p].size(); i++)
    {
        if(viz[v[p][i]] == 0)
        {
            dfs(v[p][i]);
        }
    }
    k--;
}
int main()
{
    f>>n;
    for(int i = 1; i <= n; i++)
    {
        f>>str[i];
    }
    for(int i = 1; i < n; i++)
    {
        int x,y;
        f>>x>>y;
        v[x].push_back(y);
    }
    dfs(1);
    for(int i = 1; i<= n; i++)
    {
        g<<rez[i]<<" ";
    }
    f.close();
    g.close();
    return 0;
}