N=int(input())
E=[[] for i in range(N)]

for i in range(N-1):
    x,y=map(int,input().split())
    x-=1
    y-=1
    E[x].append(y)
    E[y].append(x)

ROOT=0

QUE=[ROOT] 
Parent=[-1]*(N+1)
Parent[ROOT]=N # ROOTの親を定めておく.
Child=[[] for i in range(N+1)]
TOP_SORT=[] # トポロジカルソート
DEG=[1<<30]*N
DEG[0]=0

while QUE: # トポロジカルソートと同時に親を見つける
    x=QUE.pop()
    TOP_SORT.append(x)
    for to in E[x]:
        if Parent[to]==-1:
            Parent[to]=x
            Child[x].append(to)
            QUE.append(to)
            DEG[to]=DEG[x]+1

DEG2=[1<<30]*N
for x in TOP_SORT[::-1]:
    if DEG2[x]==1<<30:
        DEG2[x]=0
    if 0<=Parent[x]<N:
        DEG2[Parent[x]]=min(DEG2[x]+1,DEG2[Parent[x]])

for i in range(N):
    print(min(DEG[i],DEG2[i]))