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: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.IO;
using System.Text;
using static System.Math;
using static System.Array;

namespace AtCoderSolve
{
    class Solve
    {
        const int mod = 1000000007;
        const int INF = 2147483647;
        const long SINF = 9223372036854775807;

        static int N;
        //static int[] a;
        //static string S;
        static List<List<Edge>> G = new List<List<Edge>>();
        static bool[] seen;
        static int[] ans;


        public static void Input()
        {
            var cin = new Scanner();
            N = int.Parse(Console.ReadLine());
            ans = new int[N];
            seen = new bool[N];
            for(var i = 0; i < N; i++)
            {
                G.Add(new List<Edge>());
            }
            for(var i = 0; i < N - 1; i++)
            {
                var input = cin.SplitReader();
                G[input[0] - 1].Add(new Edge(input[1] - 1, input[2]));
                G[input[1] - 1].Add(new Edge(input[0] - 1, input[2]));
            }
        }

        static void Main(string[] args)
        {
            Input();
            var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
            Console.SetOut(sw);
            if (N == 1) { Console.WriteLine(0);
                return;
            }

            var s = new Solve();
            s.Dfs(0, 0);
            for(var i = 0; i < N; i++)
            {
                Console.WriteLine(ans[i]);
            }



            
            
            Console.Out.Flush();
        }

        struct Edge
        {
            public int to;
            public long weight;
            public Edge(int t,int w)
            {
                to = t;
                weight = w;
            }
        }

        public void Dfs(int v,long dis)
        {
            seen[v] = true;
            if (dis % 2 == 0)
            {
                ans[v] = 0;
            }
            else
            {
                ans[v] = 1;
            }

            foreach(var next in G[v])
            {
                if (seen[next.to])
                {
                    continue;
                }
                Dfs(next.to, dis + next.weight);
            }
        }

    }

    
    

    public class Scanner
    {
        public int[] SplitReader()
        {
            int[] array = Console.ReadLine().Split().Select(int.Parse).ToArray();
            return array;
        }
        public long[] SplitReaderL()
        {
            long[] array = Console.ReadLine().Split().Select(long.Parse).ToArray();
            return array;
        }

        public int[] MultiLineReader(int N)
        {
            int[] ret = new int[N];
            for(var i = 0; i < N; i++)
            {
                ret[i] = int.Parse(Console.ReadLine());
            }

            return ret;
        }
        public long[] MultiLineReaderL(int N)
        {
            long[] ret = new long[N];
            for (var i = 0; i < N; i++)
            {
                ret[i] = long.Parse(Console.ReadLine());
            }

            return ret;
        }

    }
}