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 Python (3.4.3) (judge verdict: Wrong Answer)

N = int(input())

# 初期の木の根とランクを設定（初めはみんな根なのでpar[i]=i）
par = [0 for i in range(N)]
dist = [0 for i in range(N)]
rank = [0 for i in range(N)]
for n in range(N):
    par[n] = n


# 木の根を探索する関数
# 根が自身でない場合は再帰的にたどる
# x,yが同じ集合に属するかの判定はroot(par[x])==root(par[y])か否か
def root(x):
    if par[x] == x:
        return x
    else:
        par[x] = root(par[x])
        return par[x]

# 繋げる操作を指定された時に動かす関数
def unite(x,y,w):
    x = par[x]
    y = par[y]
    # rankが低い方に高い方を繋げる
    if rank[x] < rank[y]:
        par[x] = y
        dist[x] += w
    else:
        par[y] = x
        dist[y] += w
        # 同じだった場合xのランクが一つ増える扱いになる
        if rank[x] == rank[y]:
            rank[x] += 1

# 実際にクエリを受け取って動かす
for i in range(N-1):
    u,v,w = map(int,input().split())
    u = u-1
    v = v-1        
    unite(u,v,w)



for i in range(N):
    if dist[i] % 2 == 0:
        print(0)
    else:
        print(1)