Problem:
Score : 400 points

Problem Statement

We have a tree with N vertices numbered 1 to N.
The i-th edge in the tree connects Vertex u_i and Vertex v_i, and its length is w_i.
Your objective is to paint each vertex in the tree white or black (it is fine to paint all vertices the same color) so that the following condition is satisfied:

For any two vertices painted in the same color, the distance between them is an even number.

Find a coloring of the vertices that satisfies the condition and print it. It can be proved that at least one such coloring exists under the constraints of this problem.

Constraints

All values in input are integers.

1 \leq N \leq 10^5

1 \leq u_i < v_i \leq N

1 \leq w_i \leq 10^9

Input

Input is given from Standard Input in the following format:

N
u_1 v_1 w_1
u_2 v_2 w_2
.
.
.
u_{N - 1} v_{N - 1} w_{N - 1}

Output

Print a coloring of the vertices that satisfies the condition, in N lines.
The i-th line should contain 0 if Vertex i is painted white and 1 if it is painted black.

If there are multiple colorings that satisfy the condition, any of them will be accepted.

Sample Input 1

3
1 2 2
2 3 1

Sample Output 1

0
0
1

Sample Input 2

5
2 5 2
2 3 10
1 3 8
3 4 2

Sample Output 2

1
0
1
0
1

Solution in C# (Mono 4.6.2.0) (judge verdict: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using static AtCoderer.Exter;
using static System.Console;
using static System.Math;
using System.Linq;

namespace AtCoderer
{

    public class App
    {
        public static void Main(string[] args)
        {
            var n = readarr[0];
            List<int>[] Node = new List<int>[n+1];
            for (int i = 0; i < n+1; i++)
                Node[i] = new List<int>();
            for (int i = 0; i < n-1; i++)
            {
                var r = readarr;
                int u = r[0], v = r[1];
                if(r[2] % 2 == 0)
                {
                    Node[u].Add(v);
                    Node[v].Add(u);
                }
                else
                {
                    Node[u].Add(-v);
                    Node[v].Add(-u);
                }
            }

            Stack<int> Stack1 = new Stack<int>();
            Stack<int> Stack2 = new Stack<int>();
            List<int> Group1 = new List<int>();
            List<int> Group2 = new List<int>();
            Stack1.Push(1);
            while (Stack1.Count != 0 || Stack2.Count != 0)
            {
                while (Stack1.Count > 0)
                {
                    var t = Stack1.Pop();
                    Group1.Add(t);
                    foreach (var v in Node[t])
                    {
                        var va = Abs(v);
                        if (Group1.Any(c=>c == va) || Group2.Any(c => c == va))
                            ;
                        else if (v > 0)
                            Stack1.Push(v);
                        else
                            Stack2.Push(-v);
                    }
                }
                while (Stack2.Count > 0)
                {
                    var t = Stack2.Pop();
                    Group2.Add(t);
                    foreach (var v in Node[t])
                    {
                        var va = Abs(v);
                        if (Group1.Any(c => c == va) || Group2.Any(c => c == va))
                            ;
                        else if (v > 0)
                            Stack2.Push(v);
                        else
                            Stack1.Push(-v);
                    }
                }
            }
            bool[] b = new bool[n + 1];
            foreach (var v in Group1)
                b[v] = true;
            foreach (var v in Group2)
                b[v] = false;
            for (int i = 1; i < n + 1; i++)
                cout = b[i] ? "0" : "1";
            Console.ReadKey();
        }
    }
    public static class Exter
    {
        public static void rep(int loop, Action<int> act)
        {
            for (int i = 0; i < loop; i++)
                act(i);
        }
        public static int ToInt(this string v) => int.Parse(v);
        public static int Max(params int[] p) => p.Max();
        public static long Max(params long[] p) => p.Max();
        public static int Min(params int[] p) => p.Min();
        public static long Min(params long[] p) => p.Min();
        public static int Gcd(int a, int b) => a > b ? GcdRecursive(a, b) : GcdRecursive(b, a);
        private static int GcdRecursive(int a, int b) => b == 0 ? a : GcdRecursive(b, a % b);
        public static object cout
        {
            set
            {
                Console.Write(value.ToString());
                Console.WriteLine();

            }
        }
        public static void ToCout<t>(this IEnumerable<t> v)
        {
            cout = string.Join(",", v);
        }
        public static int[] readarr
        {
            get
            {
                return Console.ReadLine().Split().Select(s => int.Parse(s)).ToArray();
            }
        }
        public class UnionFind
        {
            public int[] Parent;
            private int GetRoot(int v)
            {
                if (Parent[v] == v)
                    return v;
                else
                    return Parent[v] = GetRoot(Parent[v]);
            }
            public UnionFind(int size)
            {
                Parent = Enumerable.Range(0, size).ToArray();
            }
            public bool AreGrouped(int a, int b)
            {
                return GetRoot(a) == GetRoot(b);
            }
            public void Connect(int a, int b)
            {
                a = GetRoot(a);
                b = GetRoot(b);
                if (a == b) return;
                else Parent[a] = b;
            }
            public int GetGroupSize(int a)
            {
                return 0;
            }
        }
    }
}