#include <cstdio>

const int MAX_SIZE(100001);

struct edge
{
	int vertex;
	struct edge *next;
} *graph [MAX_SIZE];

int k [MAX_SIZE];
int monkeys [MAX_SIZE];
int stack [MAX_SIZE];
bool mark [MAX_SIZE];
bool nodes [MAX_SIZE];

int n, root, depth;

inline void read (void)
{
	std::freopen("cerere.in","r",stdin);
	std::scanf("%d",&n);
	for (int *iterator(k + 1), *end(k + n) ; iterator <= end ; ++iterator)
		std::scanf("%d",iterator);
	int a, *a_ptr(&a), b, *b_ptr(&b);
	struct edge *new_edge;
	for (int i(0) ; i < n ; ++i)
	{
		std::scanf("%d%d",a_ptr,b_ptr);
		new_edge = new struct edge;
		new_edge->vertex = b;
		new_edge->next = graph[a];
		graph[a] = new_edge;
		nodes[b] = true;
	}
	bool *iterator(nodes + 1);
	while (*iterator)
		++iterator;
	root = iterator - nodes;
	std::fclose(stdin);
}

void DepthFirstSearch (int node)
{
	stack[depth] = node;
	if (k[node])
		monkeys[node] = monkeys[stack[depth - k[node]]] + 1;
	++depth;
	for (struct edge *iterator(graph[node]) ; iterator ; iterator = iterator->next)
	{
		if (mark[iterator->vertex])
			continue;
		mark[iterator->vertex] = true;
		DepthFirstSearch(iterator->vertex);
	}
	--depth;
}

inline void print (void)
{
	std::freopen("cerere.out","w",stdout);
	for (int *iterator(monkeys + 1), *end(monkeys + n) ; iterator <= end ; ++iterator)
		std::printf("%d ",*iterator);
	std::putchar('\n');
	std::fclose(stdout);
}

int main (void)
{
	read();
	DepthFirstSearch(root);
	print();
	return 0;
}