#include <fstream>
using namespace std;

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

#define NMAX 100005

int v[NMAX];
int dp[17][NMAX];

void str(int nod, int ordin, int &nr)
{
    int i = 0;
    while (ordin)
    {
        if (ordin % 2)
            nod = dp[i][nod];
        ordin /= 2;
        i++;
    }
    nr++;
    if (v[nod] != 0)
        str(nod, v[nod], nr);
}

int main()
{
    int n;
    fin >> n;

    for (int i = 1; i <= n; ++i)
        fin >> v[i];

    for (int i = 1; i < n; ++i)
    {
        int a, b;
        fin >> a >> b;
        dp[0][b] = a;
    }

    for (int i = 1; (1 << i) <= n; ++i)
        for (int j = 1; j <= n; ++j)
            if (dp[i - 1][j])
                dp[i][j] = dp[i - 1][dp[i - 1][j]];

    for (int i = 1; i <= n; ++i)
    {
        int nr = 0;

        if (v[i])
            str(i, v[i], nr);

        fout << nr << ' ';
    }
    return 0;
}