#pragma GCC optimize ("O3")
#include<bits/stdc++.h>
using namespace std;
int const MAXN=110000;
int v;
vector<pair<int,int>> g[MAXN];
int sol[MAXN];
void color(int node=1, int parent=0){
	for(auto near:g[node])
		if(near.first!=parent){
			sol[near.first]=(near.second%2==0?sol[node]:1-sol[node]);
			color(near.first,node);
		}
}
int main(){	
	cin>>v;
	for(int i=0;i<v-1;i++){
		int f, t, w;
		cin>>f>>t>>w;
		g[f].push_back({t,w});
		g[t].push_back({f,w});
	}
	color();
	for(int i=1;i<=v;i++)
		cout<<sol[i]<<"\n";
}
### Prompt

Create a solution in cpp for the following 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

### Response

```cpp
#pragma GCC optimize ("O3")
#include<bits/stdc++.h>
using namespace std;
int const MAXN=110000;
int v;
vector<pair<int,int>> g[MAXN];
int sol[MAXN];
void color(int node=1, int parent=0){
	for(auto near:g[node])
		if(near.first!=parent){
			sol[near.first]=(near.second%2==0?sol[node]:1-sol[node]);
			color(near.first,node);
		}
}
int main(){	
	cin>>v;
	for(int i=0;i<v-1;i++){
		int f, t, w;
		cin>>f>>t>>w;
		g[f].push_back({t,w});
		g[t].push_back({f,w});
	}
	color();
	for(int i=1;i<=v;i++)
		cout<<sol[i]<<"\n";
}
```