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("7 1");
WillReturn.Add("1 2");
WillReturn.Add("1 3");
WillReturn.Add("3 4");
WillReturn.Add("2 5");
WillReturn.Add("4 6");
WillReturn.Add("4 7");
//3 1 2 1 0 0 0
}
else if (InputPattern == "Input2") {
WillReturn.Add("15 1");
WillReturn.Add("1 2");
WillReturn.Add("2 3");
WillReturn.Add("1 4");
WillReturn.Add("1 5");
WillReturn.Add("1 6");
WillReturn.Add("6 7");
WillReturn.Add("2 8");
WillReturn.Add("6 9");
WillReturn.Add("9 10");
WillReturn.Add("10 11");
WillReturn.Add("6 12");
WillReturn.Add("12 13");
WillReturn.Add("13 14");
WillReturn.Add("12 15");
//4 1 0 0 0 3 0 0 2 1 0 2 1 0 0
}
else {
string wkStr;
while ((wkStr = Console.ReadLine()) != null) WillReturn.Add(wkStr);
}
return WillReturn;
}
// 隣接リスト
static Dictionary<long, List<long>> mToNodeListDict = new Dictionary<long, List<long>>();
static void Main()
{
List<string> InputList = GetInputList();
long[] wkArr = { };
Action<string> SplitAct = pStr =>
wkArr = pStr.Split(' ').Select(pX => long.Parse(pX)).ToArray();
SplitAct(InputList[0]);
long N = wkArr[0];
long RootNode = wkArr[1];
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);
}
List<JyoutaiDef> DFSResult = ExecDFS(RootNode);
DFSResult = DFSResult.OrderByDescending(pX => pX.Level).ToList();
// 階級[社員]なDict
var DPDict = new Dictionary<long, long>();
for (long I = 1; I <= N; I++) {
DPDict[I] = 0;
}
// DFSでのレベルの降順での、親ノードへの配る木DP
foreach (JyoutaiDef EachJyoutai in DFSResult) {
long CurrNode = EachJyoutai.Node;
long ParentNode = EachJyoutai.ParentNode;
if (ParentNode == -1) continue;
DPDict[ParentNode] = Math.Max(DPDict[ParentNode], DPDict[CurrNode] + 1);
}
var Query = DPDict.OrderBy(pX => pX.Key).Select(pX => pX.Value);
Console.WriteLine(LongEnumJoin(" ", Query));
}
// セパレータとLong型の列挙を引数として、結合したstringを返す
static string LongEnumJoin(string pSeparater, IEnumerable<long> pEnum)
{
string[] StrArr = Array.ConvertAll(pEnum.ToArray(), pX => pX.ToString());
return string.Join(pSeparater, StrArr);
}
struct JyoutaiDef
{
internal long Node;
internal long ParentNode;
internal long Level;
}
static List<JyoutaiDef> ExecDFS(long pRootNode)
{
var WillReturn = new List<JyoutaiDef>();
var Stk = new Stack<JyoutaiDef>();
JyoutaiDef WillPush;
WillPush.Node = pRootNode;
WillPush.ParentNode = -1;
WillPush.Level = 1;
Stk.Push(WillPush);
var VisitedSet = new HashSet<long>();
VisitedSet.Add(pRootNode);
while (Stk.Count > 0) {
JyoutaiDef Popped = Stk.Pop();
WillReturn.Add(Popped);
if (mToNodeListDict.ContainsKey(Popped.Node)) {
foreach (long EachToNode in mToNodeListDict[Popped.Node]) {
if (VisitedSet.Add(EachToNode)) {
WillPush.Node = EachToNode;
WillPush.ParentNode = Popped.Node;
WillPush.Level = Popped.Level + 1;
Stk.Push(WillPush);
}
}
}
}
return WillReturn;
}
}