import sys

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

def II(): return int(sys.stdin.readline())
def MI(): return map(int, sys.stdin.readline().split())
def LI(): return list(map(int, sys.stdin.readline().split()))
def SI(): return sys.stdin.readline()[:-1]
def LLI(rows_number): return [LI() for _ in range(rows_number)]
int1 = lambda x: int(x) - 1
def MI1(): return map(int1, sys.stdin.readline().split())
def LI1(): return list(map(int1, sys.stdin.readline().split()))
p2D = lambda x: print(*x, sep="\n")
dij = [(0, 1), (1, 0), (0, -1), (-1, 0)]

def main():
    def dfs(u=0,pu=-1,r=0):
        par[u]=pu
        rr[u]=r
        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
        ll[u]=l
        topo.append(u)
        return l

    n=II()
    to=defaultdict(list)
    for _ in range(n-1):
        x,y=MI1()
        to[x].append(y)
        to[y].append(x)
    ll=[0]*n
    rr=[0]*n
    par=[-1]*n
    topo=[]
    dfs()
    #print(par)
    #print(ll)
    #print(rr)
    #print(topo)
    for u in topo[::-1]:
        if u==0:continue
        ll[u]=min(ll[u],ll[par[u]]+1)
    for l,r in zip(ll,rr):
        print(min(l,r))

main()