#include <stdio.h>

#define MAX 100000

int calc(int, int);

int lr[MAX][MAX], count[MAX], memo[MAX], ne[MAX], ha[MAX];

int main(void) {
	int n, i;
	scanf("%d", &n);
	for(i = 0; i < n - 1; i++) {
		int x, y;
		scanf("%d%d", &x, &y);
		x--; y--;
		lr[ count[x] ][x] = y; count[x]++;
		lr[ count[y] ][y] = x; count[y]++;
	}
	
	calc(0, 0);
	
	for(i = 0; i < n; i++) {
		printf("%d\n", ne[i] < ha[i] ? ne[i] : ha[i]);
	}
	
	return 0;
}

int calc(int v, int c) {
	ne[v] = c;
	memo[v] = 1;
	
	int m = MAX, temp;
	int i;
	for(i = 0; i < count[v]; i++) {
		if(memo[ lr[i][v] ] == 0) {
			temp = calc(lr[i][v], c + 1) + 1;
			m = (temp < m ? temp : m); 
		}
	}
	m = (m == MAX ? 0 : m);
	ha[v] = m;
	return m;
}