#include <bits/stdc++.h>
#define cin ci
#define cout co
using namespace std;
ifstream cin("cerere.in");
ofstream cout("cerere.out");
int n, x, y;
vector<int> str, ans, gr, viz, nodes;
vector<vector<int>> graf;
void dfs(int node, int height)
{
    viz[node] = 1;
    nodes.push_back(node);
    ans[node] = ans[nodes[height - str[node]]] + 1;
    for(auto next:graf[node])
        if(!viz[next])
            dfs(next, height + 1);
    nodes.pop_back();
}
int main()
{
    cin >> n;
    graf.assign(n+1, vector<int>());
    str.resize(n+1);
    ans.resize(n+1);
    gr.resize(n+1);
    viz.resize(n+1);
    for(int i=1; i<=n; i++)
        cin >> str[i];
    for(int i=1; i<n; i++)
    {
        cin >> x >> y;
        graf[x].push_back(y);
        graf[y].push_back(x);
        gr[y]++;
    }
    for(int i=1; i<=n; i++)
        if(gr[i] == 0)
            dfs(i, 0);
    for(int i=1; i<=n; i++)
        cout << ans[i] - 1 << " ";
    return 0;
}