n=int(input())
e=[[] for i in range(n)]
for i in range(n-1):
	a,b=map(int,input().split())
	a-=1
	b-=1
	e[a]+=[b]
	e[b]+=[a]
v=[0]*n
r=[0]*n
f=[0]*n
q=[0]
while len(q)>0:
	s=q[-1]
	if v[s]==0:
		v[s]=1
		for t in e[s]:
			if v[t]==0:
				q+=[t]
				r[t]=r[s]+1
				f[s]=1
	else:
		q.pop()
v=[0]*n
l=[0]*n
q=[]
for i in range(n):
	if f[i]==0:
		q+=[i]
		v[i]=1
for s in q:
	for t in e[s]:
		if v[t]==0:
			v[t]=1
			l[t]=l[s]+1
			q+=[t]
for i in range(n):
	print(min(r[i],l[i]))