#include <bits/stdc++.h>

using namespace std;

//ifstream f("memory001.in");
//ofstream g("memory001.out");
ifstream f("cerere.in");
ofstream g("cerere.out");

const int dim = 100001;

int n;
int k[dim];

vector <int> sons[dim];

int parent[dim];
int dist[dim];
vector <int> nodes;

void dfs(int node){
    nodes.push_back(node);

    if(k[node] > 0){
        dist[node] = dist[nodes[nodes.size() - k[node] - 1]] + 1;
    }

    for(int it: sons[node])
        dfs(it);

    nodes.pop_back();
}

int main()
{
    int i, a, b;

    f >> n;

    for(i = 1; i <= n; ++i){
        f >> k[i];
    }

    for(i = 1; i < n; ++i){
        f >> a >> b;
        sons[a].push_back(b);
        parent[b] = a;
    }

    int root;

    for(i = 1; i <= n; ++i)
        if(parent[i] == 0){
            root = i;
            break;
        }

    dfs(root);

    for(i = 1; i <= n; ++i)
        g << dist[i] << " ";

    return 0;
}