#include <stdio.h>

int x[100000] = { 0 };
int y[100000] = { 0 };
int R[100000] = { 0 };
int L[100000] = { 0 };

int N;

void root_search(int depth,int now);
void leaf_search(int depth, int now);
int min(int a, int b);

int MAX_DEPTH = 0;;
int DEPTH;

int main(){

	scanf("%d",&N);

	int i;
	for (i = 0; i < N - 1; i++){
		scanf("%d %d", &x[i], &y[i]);
		x[i]--;
		y[i]--;
	}

	root_search(0, 0);

	for (i = 0; i < N; i++){
		DEPTH = 9999999;
		leaf_search(0, i);
		L[i] = DEPTH;
	}

	for (i = 0; i < N; i++){
		printf("%d\n",min(R[i],L[i]));
	}

	return 0;
}
void root_search(int depth,int now){

	if (MAX_DEPTH < depth){ MAX_DEPTH = depth; }

	R[now] = depth;

	int i;

	for (i = 0; i < N - 1; i++){
		if (x[i] == now){
			root_search(depth + 1, y[i]);
		}
	}


}
void leaf_search(int depth, int now){

	if (depth>MAX_DEPTH){ return; }

	int i;

	int cnt = 0;
	for (i = 0; i < N - 1; i++){
		if (x[i] == now){
			cnt++;
		}
	}
	if (cnt == 0){ DEPTH = min(DEPTH, depth); return; }
	else{
		for (i = 0; i < N - 1; i++){
			if (x[i] == now){
				leaf_search(depth + 1, y[i]);
			}
		}
	}
}
int min(int a, int b){
	if (a >= b){ return b; }
	else{ return a; }
}