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//#include <fstream>
#include <cstdio>
#include <vector>
#include <bits/stdc++.h>
#define DIM 100001
using namespace std;
int i,n,x,y,v[DIM],sol[DIM],sol2[DIM],v2[DIM],w[DIM];
vector <int> L[DIM];
//ifstream fin ("cerere.in");
//ofstream fout ("cerere.out");
//FILE *fin = fopen ("cerere.in","r");
//FILE *fout = fopen ("cerere.out","w");
void dfs (int nod,int niv){
v2[nod] = 1;
if (v[nod] == 0)
sol[niv] = 0;
else
sol[niv] = sol[niv-v[nod]]+1;
sol2[nod] = sol[niv];
for (int i=0;i<L[nod].size();i++)
if (v2[L[nod][i]] == 0)
dfs (L[nod][i],niv+1);
}
int main (){
freopen ("cerere.in","r",stdin);
freopen ("cerere.out","w",stdout);
//fin>>n;
scanf ("%d",&n);
for (i=1;i<=n;i++)
scanf ("%d",&v[i]);
//fin>>v[i];
for (i=1;i<n;i++){
//fin>>x>>y;
scanf ("%d%d",&x,&y);
L[x].push_back(y);
// L[y].push_back(x);
w[y] = 1;
}
for (i=1;i<=n;i++){
if (w[i] == 0){
dfs (i,1);
break;
}
}
for (i=1;i<=n;i++)
printf ("%d ",sol2[i]);
//fout<<sol2[i]<<" ";
return 0;
}