#include <iostream>
#include <cstdio>
using namespace std;

const int N_max = 100002;
const int Size = 3000000;
const int Log = 18;

int poz;
char buff[Size];

int v[N_max];

int A[Log][N_max]; /* A[i][j] == AL 2 ^ i STRAMOS AL LUI j */

int NR;

int N;

void get_number(int &nr)
{
    nr = 0;

    while(buff[poz] < '0' || buff[poz] > '9')
    {
        poz++;

        if(poz == Size)
        {
            fread(buff, 1, Size, stdin);
            poz = 0;
        }
    }

    while(buff[poz] >= '0' && buff[poz] <= '9')
    {
        nr = nr * 10 + buff[poz++] - '0';

        if(poz == Size)
        {
            fread(buff, 1, Size, stdin);
            poz = 0;
        }

    }
}

int Ancestor(int node, int p)
{
    int i = 0;

    NR++;

    while(p != 0)
    {
        if(p & 1) node = A[i][node];

        p >>= 1;

        i++;
    }

    if(!v[node]) return node;
    else
        Ancestor(node, v[node]);
}

int main()
{
    freopen("cerere.in", "r", stdin);
    freopen("cerere.out", "w", stdout);

    int i, j, x, y;

    get_number(N);

    for(i = 1; i <= N; i++) get_number(v[i]);

    for(i = 1; i < N; i++)
    {
        get_number(x);
        get_number(y);

        A[0][y] = x; /* PRIMUL STRAMOS AL LUI y ESTE CHIAR TATAL ACESTUIA */
    }

    /* CONSTRUIESC MATRICEA A */

    for(i = 1; (1 << i) <= N; i++)
        for(j = 1; j <= N; j++)
        /* RECURENTA */
            if(A[i - 1][j]) A[i][j] = A[i - 1][ A[i - 1][j] ];

    for(i = 1; i <= N; i++)
    {
        /* SUNT LA NODUL i SI VREAU SA AJUNG LA AL v[i] - LEA STRAMOS */

        NR = 0;
        if(!v[i]) printf("%d ", NR);
        else
        {
            int rc = Ancestor(i, v[i]);

            printf("%d ", NR);
        }
    }

    return 0;
}