#include<fstream>
#include<vector>
using namespace std;
#define NMAX 100005
ifstream fin("cerere.in");
ofstream fout("cerere.out");
vector <int> a[NMAX];
int n,x,y,G[NMAX],A[NMAX],S[NMAX];
bool M[NMAX];
void dfs(int s, int niv)
{
    int i;
    A[niv]=s;
    if (!G[s]) S[s]=0;
    else S[s]=S[A[niv-G[s]]]+1;
    for (i=0;i<a[s].size();++i)
        dfs(a[s][i],niv+1);
}
int main()
{
    int i;
    fin>>n;
    for (i=1;i<=n;++i)
        fin>>G[i];
    for (i=1;i<n;++i)
    {
        fin>>x>>y;
        a[x].push_back(y);
        M[y]=true;
    }
    for (i=1,x=0;i<=n && !x;++i)
        if (!M[i]) x=i;
    dfs(x,1);
    for (i=1;i<=n;++i)
        fout<<S[i]<<' ';
    fout<<'\n';
    return 0;
}