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 PYTHON3):

Solution:
from collections import deque
n=int(input())
arr=[[] for _ in range(n)]
for i in range(n-1):
    u,v,w=map(int,input().split())
    arr[u-1].append([v-1,w])
    arr[v-1].append([u-1,w])

que=deque([0])
ans=[0]*n
visited=[0]*n

while que:
    x=que.popleft()
    visited[x]=-1
    dis=ans[x]
    for tup in arr[x]:
        if visited[tup[0]]>-1:
            ans[tup[0]]=(dis+tup[1])%2
            que.append(tup[0])
print(*ans,sep='\n')