#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int,int> P;
#define fr first
#define sc second

int n;
vector<P> G[100010];
int color[100010];
void dfs(int v,int p,int c){
	color[v] = c;
	for(int i = 0 ; i < G[v].size() ; i ++){
		if(G[v][i].fr == p)continue;
		dfs(G[v][i].fr,v,(c+G[v][i].sc)&1);
	}
}

int main(){
	scanf("%d",&n);
	for(int i = 0 ; i < n-1 ; i ++){
		int u,v,w;
		scanf("%d%d%d",&u,&v,&w);
		G[u].push_back(P(v,w));
		G[v].push_back(P(u,w));
	}
	dfs(1,0,0);
	for(int i = 1 ; i <= n ; i ++){
		printf("%d\n",color[i]);
	}
}
### Prompt

Please create a solution in CPP to 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
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int,int> P;
#define fr first
#define sc second

int n;
vector<P> G[100010];
int color[100010];
void dfs(int v,int p,int c){
	color[v] = c;
	for(int i = 0 ; i < G[v].size() ; i ++){
		if(G[v][i].fr == p)continue;
		dfs(G[v][i].fr,v,(c+G[v][i].sc)&1);
	}
}

int main(){
	scanf("%d",&n);
	for(int i = 0 ; i < n-1 ; i ++){
		int u,v,w;
		scanf("%d%d%d",&u,&v,&w);
		G[u].push_back(P(v,w));
		G[v].push_back(P(u,w));
	}
	dfs(1,0,0);
	for(int i = 1 ; i <= n ; i ++){
		printf("%d\n",color[i]);
	}
}
```