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: Accepted)

using System;
using System.Linq;
using System.Collections.Generic;
using static System.Console;
using static System.Math;

class Solver {
    Scanner sc = new Scanner();

    public void Solve() {
        var N = sc.nextInt();
        var U = new int[N-1];
        var V = new int[N- 1];
        var w = new int[N- 1];
        var M = new List<Pair>[N];
        for (int i = 0; i < N; i++) {
            M[i] = new List<Pair>();
        }
        for (int i = 0; i < N - 1; i++) {
            U[i] = sc.nextInt();
            V[i] = sc.nextInt();
            w[i] = sc.nextInt();
            M[U[i] - 1].Add(new Pair(w[i], V[i] - 1));
            M[V[i] - 1].Add(new Pair(w[i], U[i] - 1));
        }

        var d = Dijkstra(N, M);

        for (int i = 0; i < N; i++) {
            if (d[i] % 2 == 0) {
                WriteLine('0');
            } else {
                WriteLine('1');
            }
        }
    }

    int[] Dijkstra(int vertex, List<Pair>[] adjacency) {
        var s = 0;
        var dist = new bool[vertex];
        var d = new int[vertex];
        for (int i = 0; i < vertex; i++) {
            d[i] = int.MaxValue;
        }
        d[s] = 0;

        var PQ = new PriorityQueue(vertex);

        PQ.Push(new Pair(0, s));

        while (!PQ.IsEmpty()) {
            var f = PQ.Pop();
            var u = f.Value;
            dist[u] = true;

            if (d[u] < f.Key) { continue; }

            for (int i = 0; i < adjacency[u].Count; i++) {
                int v = adjacency[u][i].Value;
                if (dist[v]) { continue; }
                if (d[u] + adjacency[u][i].Key < d[v]) {
                    d[v] = d[u] + adjacency[u][i].Key;
                    PQ.Push(new Pair(d[v], v));
                }
            }
        }
        return d;
    }

    class Pair {
        public int Key { get; set; }
        public int Value { get; set; }

        public Pair(int key, int value) {
            Key = key;
            Value = value;
        }
    }

    class PriorityQueue {
        Pair[] A;
        int _cnt = 0;
        bool _asc;

        public PriorityQueue(int n, bool asc = true) {
            A = new Pair[500001];
            _asc = asc;
        }

        public void Push(Pair pair) {
            _cnt++;
            A[_cnt] = new Pair(int.MinValue, 0);
            HeapIncreaseKey(_cnt, pair);
        }

        public Pair Pop() {
            if (_cnt < 1) { return null; }
            var pop = A[1];
            A[1] = A[_cnt];
            A[_cnt] = null;
            _cnt--;
            Heapify(1);
            return pop;
        }

        public bool IsEmpty() {
            return _cnt == 0;
        }

        void HeapIncreaseKey(int i, Pair pair) {
            if (pair.Key <= A[i].Key) { return; }
            A[i] = pair;

            while (i > 1 && Compare(A[Parent(i)].Key, A[i].Key)) {
                Swap(Parent(i), i);
                i = Parent(i);
            }
        }

        bool Compare(int l, int r) {
            if (_asc) {
                return l > r;
            } else {
                return l < r;
            }
        }

        void Heapify(int i) {
            var l = i * 2;
            var r = i * 2 + 1;
            int largest;

            if (l <= _cnt && Compare(A[i].Key, A[l].Key)) {
                largest = l;
            } else {
                largest = i;
            }

            if (r <= _cnt && Compare(A[largest].Key, A[r].Key)) {
                largest = r;
            }

            if (largest != i) {
                Swap(i, largest);
                Heapify(largest);
            }
        }

        void Swap(int a, int b) {
            var tmp = A[a];
            A[a] = A[b];
            A[b] = tmp;
        }

        static int Parent(int i) { return i / 2; }
    }
}

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;
    }
}

class Program {
    static void Main(string[] args) {
        Solver s = new Solver();
        s.Solve();
    }
}