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: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using static System.Console;

class Program
{
    static void Main(string[] args)
    {
        new Program().Calc();
    }

    Scanner cin;

    public Program() { }

    bool chmax<T>(ref T a, T b) where T : IComparable<T> { if (a.CompareTo(b) < 0) { a = b; return true; } return false; }
    bool chmin<T>(ref T a, T b) where T : IComparable<T> { if (b.CompareTo(a) < 0) { a = b; return true; } return false; }


    void Calc()
    {
        cin = new Scanner();

        int N = cin.nextInt();

        UnionFindTree unionFind = new UnionFindTree(N);

        for (int i = 0; i < N - 1; ++i)
        {
            int u = cin.nextInt();
            int v = cin.nextInt();
            int w = cin.nextInt();

            unionFind.Unite(u, v, w);
        }

        for (int i = 1; i <= N; ++i)
        {
            int distance = unionFind.GetDistance(i);

            WriteLine(distance % 2);
        }
    }
}

class UnionFindTree
{
    int[] parent;
    int[] distanceToParent;

    public UnionFindTree(int n)
    {
        parent = new int[n + 1];

        for (int i = 0; i <= n; ++i)
        {
            parent[i] = i;
        }

        distanceToParent = new int[n + 1];
    }

    public int Root(int x)
    {
        while (parent[x] != parent[parent[x]])
        {
            distanceToParent[x] += distanceToParent[parent[x]];

            parent[x] = parent[parent[x]];

        }
        return parent[x];
    }

    public void Unite(int x, int y, int distance)
    {
        int rootX = Root(x);
        int rootY = Root(y);
#if false
        if (rootX != rootY)
#endif
        {
            //parent[rootX] = rootY;
            //ChangeParent(rootX, rootY, distance);
            ChangeParent(x, y, distance);
        }
    }

#if false
    public bool Same(int x, int y)
    {
        return Root(x) == Root(y);
    }
#endif

    /// <summary>
    /// xの総親の親をyにする
    /// </summary>
    int ChangeParent(int x, int y, int distance)
    {
        parent[parent[x]] = parent[y];
        distanceToParent[x] = distanceToParent[y] + distance;

        return y;
    }

    public int GetDistance(int index)
    {
        Root(index);
        return distanceToParent[index];
    }
}


public static class StringExtension
{
    public static char GetChar1(this string str, int indexOneBase)
    {
        return str[indexOneBase - 1];
    }
}

class Scanner
{
    string[] s;
    int i;

    char[] cs = 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(cs, StringSplitOptions.RemoveEmptyEntries);
        if (s.Length == 0) return next();
        i = 0;
        return s[i++];
    }

    public int nextInt()
    {
        return int.Parse(next());
    }
    public int[] ArrayInt(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 nextLong()
    {
        return long.Parse(next());
    }

    public long[] ArrayLong(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 nextDouble()
    {
        return double.Parse(next());
    }


    public double[] ArrayDouble(int N, double add = 0)
    {
        double[] Array = new double[N];
        for (int i = 0; i < N; i++)
        {
            Array[i] = nextDouble() + add;
        }
        return Array;
    }
}