N = input()
e = [[] for i in range(N)]
S = [N]*N
for i in range(N-1):
	x,y = map(int,raw_input().split())
	e[x-1]+=[y-1]
	e[y-1]+=[x-1]
l = [(0,0,0)]+[(0,i,i) for i in range(N) if len(e[i])==1]
while l:
	nl = []
	for d,b,h in l:
		if d < S[h]:
			S[h] = d
			nl+=[(d+1,h,nxt) for nxt in e[h] if nxt != b]
	l = nl
for i in range(N):
	print S[i]