#include <fstream>
#include <assert.h>
#include <vector>
#define NMax 100010
using namespace std;

const char IN[]="cerere.in",OUT[]="cerere.out";

ifstream fin(IN); ofstream fout(OUT);

int N,L;
int a[NMax] , T[NMax];
vector<int> ad[NMax] ;
int v[NMax];

void dfs(int x=1,int niv=0)
{
    v[niv]=x;

    if (a[x] && x!=1) T[x]=T[v[niv-a[x]]]+1;
    for (vector<int>::iterator it=ad[x].begin();it<ad[x].end();++it)
        dfs(*it,niv+1);
}

int main()
{
    int i,x,y;

    fin>>N;
    for (i=1;i<=N;++i) fin>>a[i];
    for (i=1;i<N;++i)
        fin>>x>>y,
        ad[x].push_back(y),
        assert( 1<=x && x<=N && 1<=y && y<=N);

    a[1]=0;
    dfs();

    for (i=1;i<=N;++i)
        fout<<T[i]<<" ";
    fout<<"\n";

    return 0;
}