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#include <bits/stdc++.h>
using namespace std;
int n;
int v[100001], g[100001],viz[10001];
void citire() {
freopen("cerere.in", "r", stdin);
freopen("cerere.out", "w", stdout);
scanf("%d",&n);
int i, j;
for(i = 1; i <= n ;i++) {
scanf("%d",&v[i]);
}
int x;
int y;
for(i=1;i<=n-1;i++) {
scanf("%d %d",&x,&y);
g[y] = x;
}
}
int str(int t1) {
if(v[t1] == 0)
return 0;
int r, nr1;
int h;
int nr2 = 0;
h = t1;
do{
nr1 = 0;
while(nr1 < v[t1])
{
r = g[h];
h = r;
nr1++;
}
nr2++;
} while(v[h] != 0);
return nr2;
}
/*void DFS(int x) {
int i;
viz[x] = 1;
for(i=1;i<=n;i++) {
if(a[x][i] == 1 && viz[i] == 0)
DFS(i);
}
}
*/
int main()
{
citire();
int i, j;
for(i=1;i<=n;i++)
printf("%d ",str(i));
return 0;
}