from typing import List, Tuple, Callable, TypeVar, Optional
import sys
import itertools
import heapq
import bisect
import math
from collections import deque, defaultdict
from functools import lru_cache, cmp_to_key

input = sys.stdin.readline

if __file__ != 'prog.py':
    sys.setrecursionlimit(10 ** 6)


def readints(): return map(int, input().split())
def readlist(): return list(readints())
def readstr(): return input()[:-1]
def readlist1(): return list(map(lambda x: int(x) - 1, input().split()))


N = int(input())
E = [[] for _ in range(N)]
for _ in range(N - 1):
    u, v = readints()
    u -= 1
    v -= 1
    E[u].append(v)
    E[v].append(u)

R = [0] * N
is_leaf = [True] * N
stack = [(0, -1)]
while stack:
    v, p = stack.pop()
    if v < 0:
        v = ~v
        for dst in E[v]:
            if dst == p:
                continue
            is_leaf[v] = False
    else:
        if ~p:
            R[v] = R[p] + 1
        stack.append((~v, p))
        for dst in E[v]:
            if dst == p:
                continue
            stack.append((dst, v))

INF = 1 << 30
L = [INF] * N
dq = deque()
for i in range(N):
    if is_leaf[i]:
        L[i] = 0
        dq.append(i)
while dq:
    v = dq.popleft()
    for dst in E[v]:
        if L[dst] > L[v] + 1:
            L[dst] = L[v] + 1
            dq.append(dst)

for r, l in zip(R, L):
    print(min(r, l))