Problem: 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.

Examples

Input

3
1 2 2
2 3 1


Output

0
0
1


Input

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


Output

1
0
1
0
1

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        inputClass in = new inputClass(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        DEvenRelation solver = new DEvenRelation();
        solver.solve(1, in, out);
        out.close();
    }

    static class DEvenRelation {
        static DEvenRelation.Node[] graph;
        static boolean[] visited;
        static ArrayList<Integer> ans;

        static void dfs(int a) {
            visited[a] = true;
            for (DEvenRelation.Pair p : graph[a].edges) {
                if (!visited[p.x]) {
                    if (p.y % 2 == 0) {
                        graph[p.x].c = graph[a].c;
                    } else {
                        graph[p.x].c = (graph[a].c + 1) % 2;
                    }
                    dfs(p.x);
                }
            }
        }

        public void solve(int testNumber, inputClass sc, PrintWriter out) {
            int n = sc.nextInt();
            graph = new DEvenRelation.Node[n];
            ans = new ArrayList<>();
            for (int i = 0; i < n; i++) {
                graph[i] = new DEvenRelation.Node();
                graph[i].edges = new ArrayList<>();
                ans.add(0);
            }

            for (int i = 0; i < n - 1; i++) {
                int u = sc.nextInt() - 1;
                int v = sc.nextInt() - 1;
                int w = sc.nextInt();
                graph[u].edges.add(new DEvenRelation.Pair(v, w));
                graph[v].edges.add(new DEvenRelation.Pair(u, w));
            }
            graph[0].c = 0;
            visited = new boolean[n];
            dfs(0);
            for (int i = 0; i < n; i++) {
                out.println(graph[i].c);
            }
        }

        static class Pair {
            int x;
            int y;

            public Pair(int x, int y) {
                this.x = x;
                this.y = y;
            }

        }

        public static class Node {
            ArrayList<DEvenRelation.Pair> edges;
            int c;

        }

    }

    static class inputClass {
        BufferedReader br;
        StringTokenizer st;

        public inputClass(InputStream in) {

            br = new BufferedReader(new InputStreamReader(in));
        }

        public String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }

    }
}