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: Wrong Answer)


import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.math.BigDecimal;
import java.math.RoundingMode;
import java.util.Arrays;
import java.util.NoSuchElementException;

public class Main {

	public static void main(String[] args) throws IOException {
		new Main().solve();
	}

	private void solve() throws IOException {
		try {
			//			solveA();
			//			solveB();
			solveC();
			//			solveD();
			//			 solveE();
			//			 solveF();
		} finally {
			if (in != null) {
				in.close();
			}
			if (out != null) {
				out.flush();
				out.close();
			}
		}

	}

	private void solveA() {
		int n = nextInt();
		int k = nextInt();
		String[] wk = next().split("");
		wk[k - 1] = wk[k - 1].toLowerCase();

		StringBuilder builder = new StringBuilder();
		for (int i = 0; i < wk.length; i++) {
			builder.append(wk[i]);
		}

		out.println(builder.toString());
	}

	private void solveB() {
		int wk = nextInt();

		int front = wk / 100;
		int back = wk % 100;

		if ((0 < front && front <= 12) && (back <= 0 || back > 12)) {
			out.println("MMYY");
		} else if ((0 < back && back <= 12) && (front <= 0 || front > 12)) {
			out.println("YYMM");
		} else if ((0 < front && front <= 12) && (0 < back && back <= 12)) {
			out.println("AMBIGUOUS");
		} else {
			out.println("NA");
		}

	}

	private void solveC() {
		int n = nextInt();
		int k = nextInt();

		BigDecimal res = new BigDecimal("0");
		for (int i = 1; i <= n; i++) {
			int pow = recursiveC(i, k);
			BigDecimal powB = new BigDecimal("0.5").pow(pow);
			res = res.add(powB);
		}

		out.println(res.divide(new BigDecimal(n), 11, RoundingMode.HALF_UP));
	}

	private int recursiveC(int i, int n) {
		if (i >= n) {
			return 0;
		}
		return recursiveC(i * 2, n) + 1;
	}

	private void solveD() {
		int n = nextInt();

		int[] u = new int[n - 1];
		int[] v = new int[n - 1];
		int[] w = new int[n - 1];
		int[] res = new int[n];
		Arrays.fill(res, 1);
		for (int i = 0; i < n - 1; i++) {
			u[i] = nextInt() - 1;
			v[i] = nextInt() - 1;
			w[i] = nextInt();
			if (w[i] % 2 == 0) {
				res[u[i]] = 0;
				res[v[i]] = 0;
			} else {
				res[u[i]] = 1;
				res[v[i]] = 0;
			}
		}
		for (int i = 0; i < res.length; i++) {
			out.println(res[i]);
		}

	}

	private void solveE() {
		int n = nextInt();
		int m = nextInt();

		int[] x = new int[m];
		int[] y = new int[m];
		int[] z = new int[m];
		for (int i = 0; i < n - 1; i++) {
			x[i] = nextInt() - 1;
			y[i] = nextInt() - 1;
			z[i] = nextInt();
		}

		out.println("");
	}

	private void solveF() {
		int n = nextInt();

		out.println("");
	}

	private final PrintWriter out = new PrintWriter(System.out);
	private final InputStream in = System.in;
	private final byte[] buffer = new byte[1024];
	private int ptr = 0;
	private int buflen = 0;

	private boolean hasNextByte() {
		if (ptr < buflen) {
			return true;
		} else {
			ptr = 0;
			try {
				buflen = in.read(buffer);
			} catch (IOException e) {
				e.printStackTrace();
			}
			if (buflen <= 0) {
				return false;
			}
		}
		return true;
	}

	private int readByte() {
		if (hasNextByte())
			return buffer[ptr++];
		else
			return -1;
	}

	private static boolean isPrintableChar(int c) {
		return 33 <= c && c <= 126;
	}

	private void skipUnprintable() {
		while (hasNextByte() && !isPrintableChar(buffer[ptr]))
			ptr++;
	}

	public boolean hasNext() {
		skipUnprintable();
		return hasNextByte();
	}

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

	public String next() {
		if (!hasNext())
			throw new NoSuchElementException();
		StringBuilder sb = new StringBuilder();
		int b = readByte();
		while (isPrintableChar(b)) {
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}

	public long nextLong() {
		if (!hasNext())
			throw new NoSuchElementException();
		long n = 0;
		boolean minus = false;
		int b = readByte();
		if (b == '-') {
			minus = true;
			b = readByte();
		}
		if (b < '0' || '9' < b) {
			throw new NumberFormatException();
		}
		while (true) {
			if ('0' <= b && b <= '9') {
				n *= 10;
				n += b - '0';
			} else if (b == -1 || !isPrintableChar(b)) {
				return minus ? -n : n;
			} else {
				throw new NumberFormatException();
			}
			b = readByte();
		}
	}
}