import sys

sys.setrecursionlimit(10 ** 6)
from collections import *

def II(): return int(sys.stdin.readline())
int1 = lambda x: int(x) - 1
def MI1(): return map(int1, sys.stdin.readline().split())

def main():
    def dfs(u=0,pu=-1,r=0):
        l=10**9
        for cu in to[u]:
            if cu==pu:continue
            ret=dfs(cu,u,r+1)+1
            if ret<l:l=ret
        if l==10**9:l=0
        ans[u]=min(l,r)
        return l

    n=II()
    to=defaultdict(list)
    for _ in range(n-1):
        x,y=MI1()
        to[x].append(y)
        to[y].append(x)
    ans=[0]*n
    dfs()
    print(*ans,sep="\n")

main()