#include <bits/stdc++.h>
#define MAX_BUFF 65536

using namespace std;

int n, tt[100005], v[100005], m[100005][20], ans[100005];
bool ok[100005];
vector<int> fii[100005], bunici;
char in[MAX_BUFF];
int pos = MAX_BUFF, buff;

char getChar(FILE *f) {
  if (pos == MAX_BUFF) {
    fread(in, 1, MAX_BUFF, f);
    pos = 0;
  }
  return in[pos++];
}

int freef(FILE *f) {
  int result = 0;
  char c;

  do {
    c = getChar(f);
  } while (!isdigit(c));
  do {
    result = (result << 3) + (result << 1) + c - '0';
    c = getChar(f);
  } while (isdigit(c));
  return result;
}

void df(int x)
{
    ok[x] = 1;
    m[x][0] = tt[x];
    int k = 0;
    while(m[m[x][k]][k]){
        m[x][k+1] = m[m[x][k]][k];
        ++k;
    }
    for (vector<int>::iterator it = fii[x].begin(); it != fii[x].end(); ++it)
        if(!ok[*it])
            df(*it);
}

int pw2(int x)
{
    int p = 1, i;
    for (i = 0; p <= x; ++i)
        p *= 2;
    return i-1;
}

int main()
{
    FILE *f = fopen("cerere.in", "r");
    ofstream fout ("cerere.out");
    n = freef(f);
    for (int i = 1; i <= n; ++i)
        v[i] = freef(f);
    for (int i = 1; i < n; ++i){
        int x, y;
        x = freef(f);
        y = freef(f);
        fii[x].push_back(y);
        tt[y] = x;
    }
    for (int i = 1; i <= n; ++i)
        if(tt[i] == 0)
            bunici.push_back(i);
    for (vector<int>::iterator bunic = bunici.begin(); bunic != bunici.end(); ++bunic)
        for (vector<int>::iterator it = fii[*bunic].begin(); it != fii[*bunic].end(); ++it)
            df(*it);
    for (int i = 1; i <= n; ++i)
        if(v[i] != 0){
            int nod = i, k = 0;
            while(v[nod] != 0){
                ++k;
                int y = v[nod];
                while(y){
                    int pw = pw2(y);
                    y -= (1<<pw);
                    nod = m[nod][pw];
                }
                if(ans[nod] != 0){
                    ans[i] = k + ans[nod];
                    goto here;
                }
            }
            ans[i] = k;
            here:
            {
                // if i didn't leave the accolades the compiler would've complained
            }
        }
    for (int i = 1; i <= n; ++i)
        fout << ans[i] << " ";
    fout.close();
    return 0;
}