#include <cstdio>
#include <cstring>
#include <cmath>

using namespace std;
int N;
int DP[21][100005];
int cere[100005];
#define DIM 1000000
char buff[DIM];
int poz=DIM-1;

void citeste(int &numar)
{
     numar = 0;
     while (buff[poz] < '0' || buff[poz] > '9')
          if (++poz == DIM)
               fread(buff,1,DIM,stdin),poz=0;
     while ('0'<=buff[poz] && buff[poz]<='9')
     {
          numar = numar*10 + buff[poz] - '0';
          if (++poz == DIM)
               fread(buff,1,DIM,stdin),poz=0;
     }
}
void read()
{
    citeste(N);
    for(int i = 1; i <= N; ++i)
        citeste(cere[i]);
    int a,b;
    for(int i = 1; i < N; ++i)
    {
        citeste(a),citeste(b);
        DP[0][b] = a;
    }
}

void dynamic()
{
    int len =(int)log2(N);
    for(int i = 1; i <= len; ++i)
        for(int j = 1; j <= N; ++j)
            DP[i][j] = DP[i-1][DP[i-1][j]];
}
int memo[100005];

void solve()
{
    memset(memo,-1,sizeof(memo));
    int cereri,nodc,k;
    for(int nod = 1; nod <= N; ++nod)
    {
        cereri = 0;
        nodc = nod;
        while(cere[nodc])
        {
            ++cereri;
            k = cere[nodc];
            for(int i = 0; i < 20; ++i)
                if((1<<i)&k)
                {
                    nodc = DP[i][nodc];
                    k -= 1<<i;
                }
            if(memo[nodc] != -1){
                cereri += memo[nodc];
                break;
            }

        }
        memo[nod] = cereri;
        printf("%d\n",cereri);
    }
}

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

    read();
    dynamic();
    solve();

    return 0;
}