#include<fstream>
#include<vector>
using namespace std;
#define nmax 100005
#define pb push_back
vector<int> g[nmax];
int k[nmax],sol[nmax],c[nmax],viz[nmax],t[nmax];
int n;
void citire ()
{
	ifstream fin("cerere.in");
	fin>>n;
	int i,a,b;
	for(i=1;i<=n;i++)
		fin>>k[i];
	for(i=1;i<n;i++)
	{
		fin>>a>>b;
		g[a].pb(b);
		t[b]=a;
	}
	fin.close ();
}

void bfs (int nod)
{
	int i,inc,sf,x;
	c[inc=sf=0]=nod;
	viz[nod]=1;
	while(inc<=sf)
	{
		x=c[inc];
		if(k[x]!=0)
		{
			int q=x,poz=k[x];
			while(poz!=0) 
				q=t[q],poz--;
			sol[x]=sol[q]+1;
		}
		else
			sol[x]=0;
		inc++;
		for(i=0;i<g[x].size();i++)
			if(viz[g[x][i]]!=1)
				viz[g[x][i]]=1,c[++sf]=g[x][i];
	}
}
void scrie()
{
	int i;
	ofstream fout("cerere.out");
	for(i=1;i<=n;i++)
		fout<<sol[i]<<' ';
	fout.close();
}
int main ()
{
	citire ();
	bfs(1);
	scrie();
	return 0;
}