Problem:
Score : 400 points

Problem Statement

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.

Sample Input 1

3
1 2 2
2 3 1

Sample Output 1

0
0
1

Sample Input 2

5
2 5 2
2 3 10
1 3 8
3 4 2

Sample Output 2

1
0
1
0
1

Solution in Rust (1.15.1) (judge verdict: Wrong Answer)

use std::io::*;
use std::str::FromStr;

fn read<T: FromStr>() -> T {
    let stdin = stdin();
    let stdin = stdin.lock();
    let token: String = stdin
        .bytes()
        .map(|c| c.expect("failed to read char") as char)
        .skip_while(|c| c.is_whitespace())
        .take_while(|c| !c.is_whitespace())
        .collect();

    token.parse().ok().expect("failed to parse token")
}

#[derive(Debug, Copy, Clone)]
struct Edge {
    to: usize,
    weight: usize,
}

type WGraph = Vec<Vec<Edge>>;

#[derive(Clone)]
struct GStruct {
    color: Vec<i32>, //1黒、0白、-1未訪問
}

impl GStruct {
    //二部グラフ判定
    fn dfs(&mut self, g: WGraph, v: usize, cur: i32) {
        //未探索であった頂点vをcurの色にする
        self.color[v] = cur;

        //頂点vと隣接する頂点next_vについて
        for next_v in g[v].iter() {
            //すでに色確定していた場合
            if self.color[next_v.to] != -1 {
                //隣接頂点の色確定済みなので探索しない
                continue;
            }
            // 隣接頂点の距離が偶数なら色はそのまま、奇数なら反転させて、再帰的に探索
            if next_v.weight % 2 == 0 {
                self.dfs(g.clone(), next_v.to, cur);
            } else {
                self.dfs(g.clone(), next_v.to, 1 - cur);
            }
        }
    }

    fn main(&mut self, g: WGraph, v: usize) {
        self.dfs(g, v, 0);
    }
}

fn main() {
    let n: usize = read();
    let mut gst = GStruct { color: vec![-1; n] };

    let mut wg: WGraph = vec![Vec::new(); n];

    for _i in 0..n - 1 {
        let u: usize = read();
        let v: usize = read();
        let w: usize = read();
        wg[u - 1].push(Edge {
            to: v - 1,
            weight: w,
        });
    }

    for v in 0..n {
        if gst.color[v] != -1 {
            continue;
        }
        gst.main(wg.clone(), v)
    }

    for v in gst.color.iter() {
        println!("{}", v);
    }
}