#include <fstream>
#include <vector>

std::ifstream in("cerere.in");
std::ofstream out("cerere.out");

constexpr int N = 1e5 + 1;

int g[N];
int v[N];
int mem[N];

int dfs(int node) {
    if (!v[node]) {
        return 0;
    }
    if (mem[node]) {
        return mem[node];
    }
    int x = node;
    for (int i = 0; i < v[node]; ++i) {
        x = g[x];
    }
    return (mem[node] = 1 + dfs(x));
}

int main() {
    int n;
    in >> n;
    for (int i = 1; i <= n; ++i) {
        in >> v[i];
    }
    for (int i = 1; i < n; ++i) {
        int a, b;
        in >> a >> b;
        g[b] = a;
    }
    for (int i = 1; i <= n; ++i) {
        out << dfs(i) << ' ';
    }
    out << '\n';
}