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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.*;
import java.io.*;
import java.lang.reflect.Array;
import java.math.BigInteger;

import static java.lang.Math.*;
import static java.util.Arrays.*;
import static java.util.Collections.*;
 
public class Main{
    static long mod=1000000007;
//    static int dx[]={-1,0,1,0};
//    static int dy[]={0,-1,0,1};

    public  static void main(String[] args)   throws Exception, IOException{        
        Reader sc = new Reader(System.in);
        PrintWriter out=new PrintWriter(System.out);

        int n = sc.nextInt();
        ArrayList<Integer> e[] = new ArrayList[n];
        for (int i = 0; i < e.length; i++) {
			e[i]=new ArrayList<>();
		}
        for (int i = 0; i < n-1; i++) {
			int x=sc.nextInt();
			int y=sc.nextInt();
			int w=sc.nextInt(), f=1;
			if(w%2==1)f=-1;
			e[x-1].add(y*f);
			e[y-1].add(x*f);
		}
        
        boolean u[]=new boolean[n];
        LinkedList<P> q = new LinkedList<>();
        q.add(new P(0,0));
        int color[]=new int[n];

        while(!q.isEmpty()) {
        	P p=q.poll();
        	int id=p.id;
        	u[id]=true;
        	for (int i = 0; i < e[id].size(); i++) {
				int to = e[id].get(i), abs=abs(to);
//				db(id,to,abs);
				if(u[abs-1])continue;
				int col=0;
				if(p.d==0 && to<0)col=1;
				else if(p.d==1 && to>0)col=1;
				color[abs-1]=col;
				u[abs-1]=true;
				q.add(new P(abs-1, col));
			}
        }

        for (int i = 0; i < color.length; i++) {
        	out.println(color[i]);
		}
//        out.println();
        out.flush();
    }
    



    static boolean validpos(int x,int y,int r, int c){
        return x<r && 0<=x && y<c && 0<=y;
    }

    static void db(Object... os){
        System.err.println(Arrays.deepToString(os));
    }  
}

class P {
    int id, d;
    P(int  id, int d) {
        this.id=id;
        this.d=d;
    }
}

//class P implements Comparable<P>{
//    int id,T;
//    P(int id, int T) {
//        this.id=id;
//        this.T=T;
//    }
//    public int compareTo(P p){
//        return id-p.id; //des
//    }
//}

class Reader
{ 
    private BufferedReader x;
    private StringTokenizer st;
    
    public Reader(InputStream in)
    {
        x = new BufferedReader(new InputStreamReader(in));
        st = null;
    }
    public String nextString() throws IOException
    {
        while( st==null || !st.hasMoreTokens() )
            st = new StringTokenizer(x.readLine());
        return st.nextToken();
    }
    public int nextInt() throws IOException
    {
        return Integer.parseInt(nextString());
    }
    public int[] nextIntArray(int size) throws IOException{
    	int r[] = new int[size];
    	for (int i = 0; i < size; i++) {
			r[i] = this.nextInt(); 
		}
    	return r;
    }
    public long[] nextLongArray(int size) throws IOException{
    	long r[] = new long[size];
    	for (int i = 0; i < size; i++) {
			r[i] = this.nextLong(); 
		}
    	return r;
    }
    public long nextLong() throws IOException
    {
        return Long.parseLong(nextString());
    }
    public double nextDouble() throws IOException
    {
        return Double.parseDouble(nextString());
    }
}