#include<fstream>
using namespace std;
class InParser {
private:
    FILE *fin;
    char *buff;
    int sp;

    char read_ch() {
        ++sp;
        if (sp == 4096) {
            sp = 0;
            fread(buff, 1, 4096, fin);
        }
        return buff[sp];
    }

public:
    InParser(const char* nume) {
        fin = fopen(nume, "r");
        buff = new char[4096]();
        sp = 4095;
    }

    InParser& operator >> (int &n) {
        char c;
        while (!isdigit(c = read_ch()) && c != '-');
        int sgn = 1;
        if (c == '-') {
            n = 0;
            sgn = -1;
        } else {
            n = c - '0';
        }
        while (isdigit(c = read_ch())) {
            n = 10 * n + c - '0';
        }
        n *= sgn;
        return *this;
    }

    InParser& operator >> (long long &n) {
        char c;
        n = 0;
        while (!isdigit(c = read_ch()) && c != '-');
        long long sgn = 1;
        if (c == '-') {
            n = 0;
            sgn = -1;
        } else {
            n = c - '0';
        }
        while (isdigit(c = read_ch())) {
            n = 10 * n + c - '0';
        }
        n *= sgn;
        return *this;
    }
} in( "cerere.in" );
ofstream out ("cerere.out");
int n,a,b,x,y,sol,normalizare[1000001],aux[30],stramos[100001],k[100001],stramosi[20][100001];
void afla (int nod) {
    if (normalizare[nod] != -1) {
        return;
    }
    if (stramos[nod] == nod) {
        normalizare[nod] = 0;
        return;
    }
    if (normalizare[stramos[nod]] == -1) {
        afla (stramos[nod]);
    }
    normalizare[nod] = normalizare[stramos[nod]] + 1;
    return;
}
int main (void) {
    in >> n;
    for (int i = 1; i <= n; i ++) {
        in >> k[i];
    }
    for (int i = 1; i < n; i ++) {
        in >> a >> b;
        stramosi[0][b] = a;
    }
    for (int i = 1; i < 20; i ++) {
        for (int j = 1; j <= n; j ++) {
            stramosi[i][j] = stramosi[i-1][stramosi[i-1][j]];
        }
    }
    for (int i = 1; i <= n; i ++) {
        x = k[i];
        y = 0;
        while (x > 0) {
            aux[++y] = x % 2;
            x /= 2;
        }
        stramos[i] = i;
        for (int j = y; j >= 1; j --) {
            if (aux[j] == 1) {
                stramos[i] = stramosi[j-1][stramos[i]];
            }
        }
    }
    for (int i = 1; i <= n; i ++) {
        normalizare[i] = -1;
    }
    for (int i = 1; i <= n; i ++) {
        afla (i);
        out << normalizare[i] <<" ";
    }
    return 0;
}