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.util.Arrays;
 
public class Main {
 
 
  private static void solve() {
    int n = ni();
    int[] from = new int[n - 1];
    int[] to = new int[n-1];
    int[] w = new int[n-1];
    for (int i = 0; i < n -1;i  ++) {
      from[i] = ni() - 1;
      to[i] = ni() - 1;
      w[i] = ni();
    }
    
    int[][][] g = packWU(n, from, to, w);
    int[] color = new int[n];
    Arrays.fill(color, -1);
    dfs(0, color, g, 0);
 
    for (int i = 0; i < n; i ++) {
      out.println(color[i]);
    }
  }
  
  private static void dfs(int now, int[] color, int[][][] g, int mod) {
    color[now] = mod;
    for (int[] v : g[now]) {
      int next = v[0];
      
      if (color[next] >= 0) continue;
      
      dfs(next, color, g, (mod + v[1]) % 2);
    }
  }
  
  public static int[][][] packWU(int n, int[] from, int[] to, int[] w){ return packWU(n, from, to, w, from.length); }
  public static int[][][] packWU(int n, int[] from, int[] to, int[] w, int sup)
  {
      int[][][] g = new int[n][][];
      int[] p = new int[n];
      for(int i = 0;i < sup;i++)p[from[i]]++;
      for(int i = 0;i < sup;i++)p[to[i]]++;
      for(int i = 0;i < n;i++)g[i] = new int[p[i]][2];
      for(int i = 0;i < sup;i++){
          --p[from[i]];
          g[from[i]][p[from[i]]][0] = to[i];
          g[from[i]][p[from[i]]][1] = w[i];
          --p[to[i]];
          g[to[i]][p[to[i]]][0] = from[i];
          g[to[i]][p[to[i]]][1] = w[i];
      }
      return g;
  }
 
  public static void main(String[] args) {
    new Thread(null, new Runnable() {
      @Override
      public void run() {
        long start = System.currentTimeMillis();
        String debug = args.length > 0 ? args[0] : null;
        if (debug != null) {
          try {
            is = java.nio.file.Files.newInputStream(java.nio.file.Paths.get(debug));
          } catch (Exception e) {
            throw new RuntimeException(e);
          }
        }
        reader = new java.io.BufferedReader(new java.io.InputStreamReader(is), 32768);
        solve();
        out.flush();
        tr((System.currentTimeMillis() - start) + "ms");
      }
    }, "", 64000000).start();
  }
 
  private static java.io.InputStream is = System.in;
  private static java.io.PrintWriter out = new java.io.PrintWriter(System.out);
  private static java.util.StringTokenizer tokenizer = null;
  private static java.io.BufferedReader reader;
 
  public static String next() {
    while (tokenizer == null || !tokenizer.hasMoreTokens()) {
      try {
        tokenizer = new java.util.StringTokenizer(reader.readLine());
      } catch (Exception e) {
        throw new RuntimeException(e);
      }
    }
    return tokenizer.nextToken();
  }
 
  private static double nd() {
    return Double.parseDouble(next());
  }
 
  private static long nl() {
    return Long.parseLong(next());
  }
 
  private static int[] na(int n) {
    int[] a = new int[n];
    for (int i = 0; i < n; i++)
      a[i] = ni();
    return a;
  }
 
  private static char[] ns() {
    return next().toCharArray();
  }
 
  private static long[] nal(int n) {
    long[] a = new long[n];
    for (int i = 0; i < n; i++)
      a[i] = nl();
    return a;
  }
 
  private static int[][] ntable(int n, int m) {
    int[][] table = new int[n][m];
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < m; j++) {
        table[i][j] = ni();
      }
    }
    return table;
  }
 
  private static int[][] nlist(int n, int m) {
    int[][] table = new int[m][n];
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < m; j++) {
        table[j][i] = ni();
      }
    }
    return table;
  }
 
  private static int ni() {
    return Integer.parseInt(next());
  }
 
  private static void tr(Object... o) {
    if (is != System.in)
      System.out.println(java.util.Arrays.deepToString(o));
  }
}