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

vector<pair<int, int>> g[111111];
int c[111111];
void f(int p, int u, int b) {
	c[u] = b;
	for (auto v : g[u])
		if (v.first != p)
			f(u, v.first, b^v.second & 1);
}
int main() {
	int n;
	cin >> n;
	for (int i = 1; i < n; i++) {
		int u, v, w;
		scanf("%d%d%d", &u, &v, &w);
		g[u].emplace_back(v, w);
		g[v].emplace_back(u, w);
	}
	f(0, 1, 0);
	for (int i = 0; i < n; i++)
		cout << c[i + 1] << '\n';
	cout << flush;
	return 0;
}