from collections import deque

INF = 1 << 60

n = int(input())

g = [[] for _ in range(n)]
for _ in range(n - 1):
  x, y = map(int, input().split())
  x -= 1
  y -= 1
  g[x].append(y)
  g[y].append(x)

src = 0
r = [INF for _ in range(n)]
r[src] = 0
dq = deque([src])
while len(dq) > 0:
  cur = dq.popleft()
  for nxt in g[cur]:
    if r[nxt] < INF:
      continue

    r[nxt] = r[cur] + 1
    dq.append(nxt)

l = [INF for _ in range(n)]
for v in range(n):
  if len(g[v]) == 1:
    l[v] = 0
    dq.append(v)

while len(dq) > 0:
  cur = dq.popleft()
  for nxt in g[cur]:
    if l[nxt] < INF:
      continue

    l[nxt] = l[cur] + 1
    dq.append(nxt)

for i in range(n):
  print(min(l[i], r[i]))