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 Graph = System.Collections.Generic.List<System.Collections.Generic.List<System.Tuple<int, int>>>;

namespace AtCoder.Problems
{
    public class ProblemA
    {
        public static void Main(string[] args)
        {
            var s = new SolveA();
            s.Solve();
        }

        public class Scanner
        {
            private string[] _s;
            private int _i;
            private readonly char[] _separators = new char[] { ' ' };

            public Scanner()
            {
                _s = new string[0];
                _i = 0;
            }

            public string Next()
            {
                if (_i < _s.Length) return _s[_i++];
                string st = Console.ReadLine();
                while (st == "") st = Console.ReadLine();
                _s = st.Split(_separators, StringSplitOptions.RemoveEmptyEntries);
                if (_s.Length == 0) return Next();
                _i = 0;
                return _s[_i++];
            }

            public int NextInt() => int.Parse(Next());
            public long NextLong() => long.Parse(Next());
            public ulong NextULong() => ulong.Parse(Next());
            public double NextDouble() => double.Parse(Next());

            public int[] GetIntArray(int n, int add = 0)
            {
                int[] array = new int[n];
                for (int i = 0; i < n; i++)
                {
                    array[i] = NextInt() + add;
                }
                return array;
            }

            public long[] GetLongArray(int n, long add = 0)
            {
                long[] array = new long[n];
                for (int i = 0; i < n; i++)
                {
                    array[i] = NextLong() + add;
                }
                return array;
            }

            public double[] GetDoubleArray(int n, double add = 0)
            {
                double[] array = new double[n];
                for (int i = 0; i < n; i++)
                {
                    array[i] = NextDouble() + add;
                }
                return array;
            }
        }
    }

    public class SolveA
    {
        public void Solve()
        {
            var cin = new ProblemA.Scanner();

            var n = cin.NextInt();

            var G = new Graph(n + 1);
            for (int i = 0; i < n + 1; i++) { G.Add(new List<Tuple<int, int>>()); }

            for (int i = 0; i < n - 1; i++)
            {
                var a = cin.NextInt();
                var b = cin.NextInt();
                var distance = cin.NextInt();
                G[a].Add(new Tuple<int, int>(b, distance));
                G[b].Add(new Tuple<int, int>(a, distance));
            }

            var result = GetAnswer(G, n);
            Console.WriteLine(result);
        }

        public string GetAnswer(Graph G, int n)
        {
            var color = new int[n + 1];
            for (int i = 0; i < color.Length; i++) { color[i] = -1; }

            color[1] = 0;
            dfs(G, color, 1);

            return string.Join("\n", color.Skip(1).Select(c => c.ToString()));
        }

        private void dfs(Graph G, int[] color, int v)
        {
            foreach (var next in G[v])
            {
                if (color[next.Item1] != -1) { continue; }
                color[next.Item1] = color[v] == 0 ? next.Item2 % 2 : (next.Item2 + 1) % 2;
                dfs(G, color, next.Item1);
            }
        }
    }
}