#include <iostream>
#include <fstream>
#include <vector>
using namespace std;
ifstream f("cerere.in");
ofstream g("cerere.out");
#define MAX 100000
vector <int> G[MAX];
int n,cer[MAX],tata[MAX],rez[MAX],viz[MAX],dim;
int stv[MAX];
void cereri(int nod)
{
    dim++;
    stv[dim]=nod;
    rez[nod]=rez[stv[dim-cer[nod]]]+1;
    for(auto it:G[nod])
    {
        cereri(it);
    }
    dim--;
}
int main()
{
    int x,y;
    f>>n;
    for(int i=1;i<=n;i++)
        f>>cer[i];
    for(int i=1;i<n;i++)
    {
        f>>x>>y;
        G[x].push_back(y);
        tata[y]=x;
    }
    for(int i=1;i<=n;i++)
        if(tata[i]==0)
        {
            cereri(i);
            break;
        }
    for(int i=1;i<=n;i++)
        g<<rez[i]<<" ";
    return 0;
}