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#include <bits/stdc++.h>
using namespace std;
ifstream fin("cerere.in");
ofstream fout("cerere.out");
int n, k[100001], myStack[100001], vf, rez[100001], parent[100001], root;
vector<int> adj[100001];
void read(){
fin >> n;
for(int i = 1; i <= n; i++)
fin >> k[i];
for(int i = 1; i < n; i++){
int u, v;
fin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
parent[v] = u;
}
}
void dfs(int u){
myStack[++vf] = u;
for(int v : adj[u]){
if(v == parent[u])
continue;
if(k[v] != 0)
rez[v] = 1 + rez[myStack[vf + 1 - k[v]]];
dfs(v);
vf--;
}
}
int main()
{
read();
for(int i = 1; i <= n; i++)
if(parent[i] == 0)
root = i;
dfs(root);
for(int i = 1; i <= n; i++)
fout << rez[i] << " ";
return 0;
}