using System;
using System.Collections.Generic;
using System.Linq;
class Program
{
static string InputPattern = "InputX";
static List<string> GetInputList()
{
var WillReturn = new List<string>();
if (InputPattern == "Input1") {
WillReturn.Add("3");
WillReturn.Add("1 2");
WillReturn.Add("2 3");
//3
//3
//1
}
else if (InputPattern == "Input2") {
WillReturn.Add("5");
WillReturn.Add("1 2");
WillReturn.Add("2 3");
WillReturn.Add("2 4");
WillReturn.Add("1 5");
//4
//5
//5
//5
//4
}
else {
string wkStr;
while ((wkStr = Console.ReadLine()) != null) WillReturn.Add(wkStr);
}
return WillReturn;
}
static long[] GetSplitArr(string pStr)
{
return (pStr == "" ? new string[0] : pStr.Split(' ')).Select(pX => long.Parse(pX)).ToArray();
}
// 隣接リスト
static Dictionary<long, List<long>> mToNodeListDict = new Dictionary<long, List<long>>();
static void Main()
{
List<string> InputList = GetInputList();
long NodeCnt = long.Parse(InputList[0]);
long[] wkArr = { };
Action<string> SplitAct = (pStr) => wkArr = GetSplitArr(pStr);
foreach (string EachStr in InputList.Skip(1)) {
SplitAct(EachStr);
long FromNode = wkArr[0];
long ToNode = wkArr[1];
if (mToNodeListDict.ContainsKey(FromNode) == false) {
mToNodeListDict[FromNode] = new List<long>();
}
if (mToNodeListDict.ContainsKey(ToNode) == false) {
mToNodeListDict[ToNode] = new List<long>();
}
mToNodeListDict[FromNode].Add(ToNode);
mToNodeListDict[ToNode].Add(FromNode);
}
// 直径の葉ノード1を求める
Dictionary<long, long> LevelDict1 = ClassTreeDFS.ExecTreeDFS(1, mToNodeListDict);
long Leaf1 = LevelDict1.OrderByDescending(pX => pX.Value).ThenByDescending(pX => pX.Key).First().Key;
// 直径の葉ノード2を求める
Dictionary<long, long> LevelDict2 = ClassTreeDFS.ExecTreeDFS(Leaf1, mToNodeListDict);
long Leaf2 = LevelDict2.OrderByDescending(pX => pX.Value).ThenByDescending(pX => pX.Key).First().Key;
// 葉ノード1からの距離[ノード]なDictを作成
Dictionary<long, long> LevelDict3 = LevelDict2;
// 葉ノード2からの距離[ノード]なDictを作成
Dictionary<long, long> LevelDict4 = ClassTreeDFS.ExecTreeDFS(Leaf2, mToNodeListDict);
var sb = new System.Text.StringBuilder();
for (long I = 1; I <= NodeCnt; I++) {
long Level1 = LevelDict3[I];
long Level2 = LevelDict4[I];
if (Level1 > Level2) {
sb.Append(Leaf1);
}
else if (Level1 < Level2) {
sb.Append(Leaf2);
}
else {
sb.Append(Math.Max(Leaf1, Leaf2));
}
sb.AppendLine();
}
Console.Write(sb.ToString());
}
}
#region ClassTreeDFS
// 根付き木のDFSクラス
internal class ClassTreeDFS
{
// ルートノードと連結リストを引数とし、レベル[ノード]のDictを返す
static internal Dictionary<long, long> ExecTreeDFS(
long pRootNode, Dictionary<long, List<long>> pToNodeListDict)
{
var LevelDict = new Dictionary<long, long>();
var Stk = new Stack<JyoutaiDefTreeDFS>();
JyoutaiDefTreeDFS WillPush;
WillPush.CurrNode = pRootNode;
WillPush.Level = 1;
Stk.Push(WillPush);
var VisitedSet = new HashSet<long>();
VisitedSet.Add(pRootNode);
while (Stk.Count > 0) {
JyoutaiDefTreeDFS Popped = Stk.Pop();
LevelDict[Popped.CurrNode] = Popped.Level;
foreach (long EachToNode in pToNodeListDict[Popped.CurrNode]) {
if (VisitedSet.Add(EachToNode)) {
WillPush.CurrNode = EachToNode;
WillPush.Level = Popped.Level + 1;
Stk.Push(WillPush);
}
}
}
return LevelDict;
}
private struct JyoutaiDefTreeDFS
{
internal long CurrNode;
internal long Level;
}
}
#endregion