#include <iostream>
#include <fstream>
#include <string>
#include <cstring>
#include <algorithm>
#include <utility>
#include <cmath>
#include <map>
#include <deque>
#include <vector>
#include <set>
#include <queue>
#include <stack>
#include <bitset>
#include <limits.h>
using namespace std;

ifstream fin("cerere.in");
ofstream fout("cerere.out");

const int MAX_SIZE = 100000;

vector<int> tree[MAX_SIZE + 1], reverseTree[MAX_SIZE + 1];
int ancestorDegree[MAX_SIZE + 1], noHands[MAX_SIZE + 1], level[MAX_SIZE + 1];

void findNoHands(int cur, int curLevel) {
    level[curLevel] = cur;
    int curAncestorDegree = ancestorDegree[cur];
    if (curAncestorDegree == 0) {
        noHands[cur] = 0;
    } else {
        noHands[cur] = noHands[level[curLevel - curAncestorDegree]] + 1;
    }
    for (int next : tree[cur]) {
        findNoHands(next, curLevel + 1);
    }
}

int main() {
    int noMonkeys;
    fin >> noMonkeys;
    for (int i = 1; i <= noMonkeys; ++i) {
        fin >> ancestorDegree[i];
        noHands[i] = -1;
    }
    for (int i = 1; i < noMonkeys; ++i) {
        int parent, child;
        fin >> parent >> child;
        tree[parent].push_back(child);
        reverseTree[child].push_back(parent);
    }
    int root = -1;
    for (int i = 1; i <= noMonkeys; ++i) {
        if (reverseTree[i].size() == 0) {
            root = i;
            break;
        }
    }
    findNoHands(root, 1);
    for (int i = 1; i <= noMonkeys; ++i) {
        fout << noHands[i] << " ";
    }
}