using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Reflection;
using System.Text;

namespace A
{
    class StartingPoint
    {
        static void Main(string[] args)
        {
            if (args?.Any() == true)
            {
                var assembly = Assembly.GetEntryAssembly();
                var resourceName = "AtCoderCSharp.In.txt";
                var stream = assembly.GetManifestResourceStream(resourceName);
                var streamReader = new StreamReader(stream, Encoding.UTF8);
                var str = streamReader.ReadToEnd();
                var textReader = new StringReader(str);
                Console.SetIn(textReader);
            }

            try
            {
                foreach (var s in new Program().Solve())
                {
                    Console.WriteLine(s);
                }
            }
            catch (Exception e)
            {
                Console.WriteLine(e);
                if (args?.Any() != true)
                    throw e;
            }

            if (args?.Any() == true)
                Console.ReadKey();
        }
    }

    class Program
    {
        public List<int> ScanInts(int count) => Enumerable.Range(0, count).Select(_ => ScanInt).ToList();
        public List<int> ScanInts(long count) => ScanInts((int)count);
        public List<long> ScanLongs(int count) => Enumerable.Range(0, count).Select(_ => Scan).ToList();
        public List<long> ScanLongs(long count) => ScanLongs((int)count);
        public int ScanInt => int.Parse(Str);
        public long Scan => long.Parse(Str);
        public double ScanDouble => (double)Scan;

        StringBuilder sb = new StringBuilder();

        public string Str => ScanStr();
        public string ScanStr()
        {
            sb.Clear();

            int r = 0;
            bool? b = null;
            do
            {
                r = Console.Read();
                b = IsBreak(r);
            } while (b == true);

            if (b == null)
                throw new Exception("input error: unexpected end of stream");

            do
            {
                sb.Append((char)r);
                r = Console.Read();
                b = IsBreak(r);
            } while (b == false);

            return sb.ToString();
        }

        bool? IsBreak(int c)
        {
            switch (c)
            {
                case -1:
                    return null;
                case (int)' ':
                case (int)'\n':
                case (int)'\r':
                    return true;
                default:
                    return false;
            }
        }

        public IEnumerable<int> Loop(int count) => Enumerable.Range(0, count);
        public IEnumerable<int> Loop(int from, int to) => Enumerable.Range(from, to - from + 1);

        public IEnumerable<long> Loop(long count) => Loop(0, count - 1);
        public IEnumerable<long> Loop(long from, long to)
        {
            for (long i = from; i <= to; i++)
                yield return i;
        }

        public string YesNo(bool isYes) => isYes ? "Yes" : "No";

        public HashSet<T> ToHashSet<T>(IEnumerable<T> ts) => new HashSet<T>(ts);



        public IEnumerable<string> Solve()
        {
            var n = ScanInt;
            var tree = new Dictionary<int, List<int>>();
            //n = 200000;
            //var r = new Random((int)(DateTime.Now.Ticks % int.MaxValue));

            foreach (int i in Loop(n - 1))
            {
                var a = ScanInt - 1;
                var b = ScanInt - 1;

                //var b = (n - 1) - (i + 1);
                //var a = (n - 1) - r.Next() % (i + 1);

                if (a > b)
                {
                    var temp = b;
                    b = a;
                    a = temp;
                }

                if (tree.ContainsKey(a) == false)
                    tree.Add(a, new List<int>());
                if (tree.ContainsKey(b) == false)
                    tree.Add(b, new List<int>());

                tree[a].Add(b);
                tree[b].Add(a);
            }

            var colors = new Dictionary<int, int>();
            var checking = new List<int>();
            checking.Add(0);
            var color = 0;
            var c0 = 0;
            var c1 = 0;

            while (checking.Any())
            {
                foreach (var x in checking)
                    colors.Add(x, color);

                var newChecking = new List<int>();
                foreach (var x in checking)
                {
                    var t = tree[x];

                    foreach (var y in t)
                    {
                        newChecking.Add(y);
                        tree[y].Remove(x);
                    }
                }

                if (color == 0)
                    c0 += checking.Count;
                else
                    c1 += checking.Count;

                checking = newChecking;
                color = 1 - color;
            }

            //var c0 = colors.Values.Count(x => x == 0);
            //var c1 = colors.Values.Count(x => x == 1);

            var res = new List<int>();

            if (c0 <= n / 3)
            {
                var d0 = 3;
                var d1 = 1;
                var d2 = 2;


                foreach (int i in Loop(n))
                {
                    if (colors[i] == 0)
                    {
                        res.Add(d0);
                        d0 += 3;
                    }
                    else
                    {
                        if (d1 <= n)
                        {
                            res.Add(d1);
                            d1 += 3;
                        }
                        else if (d2 <= n)
                        {
                            res.Add(d2);
                            d2 += 3;
                        }
                        else
                        {
                            res.Add(d0);
                            d0 += 3;
                        }
                    }

                }
            }
            else if (c1 <= n / 3)
            {
                var d0 = 3;
                var d1 = 1;
                var d2 = 2;


                foreach (int i in Loop(n))
                {
                    if (colors[i] == 1)
                    {
                        res.Add(d0);
                        d0 += 3;
                    }
                    else
                    {
                        if (d1 <= n)
                        {
                            res.Add(d1);
                            d1 += 3;
                        }
                        else if (d2 <= n)
                        {
                            res.Add(d2);
                            d2 += 3;
                        }
                        else
                        {
                            res.Add(d0);
                            d0 += 3;
                        }
                    }

                }
            }
            else
            {
                var d0 = 3;
                var d1 = 1;
                var d2 = 2;


                foreach (int i in Loop(n))
                {
                    if (colors[i] == 0)
                    {
                        if (d1 <= n)
                        {
                            res.Add(d1);
                            d1 += 3;
                        }
                        else
                        {
                            res.Add(d0);
                            d0 += 3;
                        }
                    }
                    else
                    {
                        if (d2 <= n)
                        {
                            res.Add(d2);
                            d2 += 3;
                        }
                        else
                        {
                            res.Add(d0);
                            d0 += 3;
                        }
                    }

                }
            }

            var sb = new StringBuilder();
            foreach (int x in res)
            {
                sb.Append(x);
                sb.Append(" ");
            }

            yield return sb.ToString();
        }
    }
}


Measured memory_bytes: 64264