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 CPP):

Solution:
#include<cstdio>
#include<vector>
#include<cstring>
#include<utility>
using namespace std;
int n;
vector< pair<int,int> > v[111111];
int dist[111111];
void dfs(int x)
{
	for(int i=0;i<v[x].size();i++)
	{
		int p=v[x][i].first,q=v[x][i].second;
		if(dist[p]==-1)
		{
			dist[p]=dist[x]+q;
			dfs(p);
		}
	}
}
int main()
{
	memset(dist,-1,sizeof(dist));
	scanf("%d",&n);
	dist[1]=0;
	for(int i=1;i<n;i++)
	{
		int u,V,w;
		scanf("%d %d %d",&u,&V,&w);
		v[u].push_back(make_pair(V,w%2+2));
		v[V].push_back(make_pair(u,w%2+2));
	}
	dfs(1);
	for(int i=1;i<=n;i++) printf("%d\n",dist[i]%2);
}