#!/usr/bin/ruby
if !ENV['RUBY_THREAD_VM_STACK_SIZE']
	#require 'rbconfig';RUBY=File.join(RbConfig::CONFIG['bindir'],RbConfig::CONFIG['ruby_install_name'])
	require 'rubygems';RUBY=Gem.ruby
	system('RUBY_THREAD_VM_STACK_SIZE=100000000 "'+RUBY+'" "'+$0+'"')
	exit
end

def dfs(n,d,z)
    r=nil
    H[n].each{|e|
        if !z.has_key?(e)
            z[e]=1
            r||=1<<29
            x=dfs(e,d+1,z)
            r=[r,x+1].min
            z.delete(e)
        end
    }
    r||=0
    R[n]=[r,d].min
    L[n]=r
    r
end
def dfs2(n,d,z)
    H[n].each{|e|
        if !z.has_key?(e)
            z[e]=1
            dfs2(e,[d,L[n]].min+1,z)
            z.delete(e)
        end
    }
    R[n]=[R[n],d].min
end
        
n=gets.to_i
H=Hash.new{|h,k|h[k]=[]}
R={}
L={}
(n-1).times{
    x,y=gets.split.map(&:to_i)
    H[x]<<y
    H[y]<<x
}
dfs(1,0,{1=>1})
dfs2(1,0,{1=>1})
1.step(n){|i|p R[i]}