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#include <bits/stdc++.h>
using namespace std;
ifstream fin("cerere.in");
ofstream fout("cerere.out");
vector<vector<int>> v(100001);
vector<int> stk;
int k[100001],ans[100001],tata[100001];

void dfs(int nod)
{
    stk.push_back(nod);
    if(k[nod]==0) ans[nod]=0;
    else
    {
        int stramos=stk[stk.size()-1-k[nod]];
        ans[nod]=1+ans[stramos];
    }
    for(int i=0;i<v[nod].size();i++)
    {
        dfs(v[nod][i]);
    }
    stk.pop_back();
}

int main()
{
    int n,i,x,y,rad;
    fin>>n;
    for(i=1;i<=n;i++)
    {
        fin>>k[i];
    }
    for(i=1;i<n;i++)
    {
        fin>>x>>y;
        v[x].push_back(y);
        tata[y]=x;
    }
    for(i=1;i<=n;i++)
    {
        if(tata[i]==0)
        {
            rad=i;
            break;
        }
    }
    dfs(rad);
    for(i=1;i<=n;i++)
    {
        fout<<ans[i]<<" ";
    }
    return 0;
}