#include<stdio.h>
#include<vector>
using namespace std;
#define nmax 100005
long i, n, v[nmax], nr[nmax], st[nmax], sf, a, b, r;
vector <long> ma[nmax];
bool ff[nmax];

void citire()
{
    scanf("%ld",&n);
    for (i=1;i<=n;i++)
        scanf("%ld",&v[i]);
    for (i=1;i<=n-1;i++)
    {
        scanf("%ld %ld",&a,&b);
        ma[a].push_back(b);
        ff[b]=1;
    }
    for (i=1;i<=n;i++)
        if (!ff[i])
            r=i;
}

void dfs(long nod)
{
    vector <long> ::iterator it;
    long x;
    for (it=ma[nod].begin();it!=ma[nod].end();it++)
    {
        x=*it;
        st[++sf]=x;
        if (v[x]>0)
            nr[x]=nr[st[sf-v[x]]]+1;
        dfs(x);
        sf--;
    }
}

int main()
{
    freopen("cerere.in","r",stdin);
    freopen("cerere.out","w",stdout);
    citire();
    st[++sf]=r;
    dfs(r);
    for (i=1;i<=n;i++)
        printf("%ld ",nr[i]);
    return 0;
}