import sys
sys.setrecursionlimit(100000)

N=int(raw_input())
E=[[] for i in range(N)]
for i in range(N-1):
    x,y = map(int,raw_input().split())
    E[x-1].append(y-1)
    E[y-1].append(x-1)
dist=[-1 for i in range(N)]
def update(n,p,cur):
    if dist[n] < cur:
        return
    dist[n]=cur
    for m in E[n]:
        if m==p:
            continue
        update(m,n,cur+1)

def rec(n,p,cur):
    dist[n]=cur
    d=100000
    for m in E[n]:
        if m==p:
            continue
        d=min(d,rec(m,n,cur+1))
    if d==100000:
        d=0
    if d<cur:
        for m in E[n]:
            if m==p:
                continue
            update(m,n,d+1)
    dist[n]=min(dist[n],d)
    return d+1

rec(0,0,0)
for i in range(N):
    print dist[i]