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 C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include<bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define lli long long int
#define ulli unsigned long long int
#define ld long double
#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define loop(i,a,b) for(lli i=a;i<b;i++)
#define initialize(array,size,value) for(lli i=0;i<size;i++) array[i]=value
#define couta(array,size) for(lli i=0;i<size;i++) cout<<array[i]<<" "
#define vl vector<lli>
#define vp vector< pair <lli,lli> >
#define sl set<lli>
#define msp multiset < pair < long long , long long > > S;
#define pll pair<lli, lli>
#define mll map<lli, lli>            //for( map<lli, lli>::iterator i=temp.begin();i!=temp.end();i++)cout<<i->fi<<" "<<i->se<<endl;
#define mvl map<lli, vl>
#define umll unordered_map<lli, lli>
#define vt vector<pair<lli, pll >  >
#define vf vector<pair<pll,pll > >
#define qu queue<lli>
#define pq priority_queue<lli>
#define dq deque <lli>
#define ptr vector<lli>::iterator
#define bs(array,x) binary_search(array.begin(),array.end(),x) // also valid for set and multiset
#define lb(array,x) lower_bound(array.begin(),array.end(),x)
#define ub(array,x) upper_bound(array.begin(),array.end(),x)
#define nobw(array,i,j) upper_bound(array.begin(), array.end(), j)-lower_bound(array.begin(), array.end(), i) //number of numbers between i & j
#define vc clear()
#define endl '\n'
#define sp system("pause");
#define INF 9223372036854775807
#define MINF -9223372036854775808
typedef tree<pll,null_type,less<pll>,rb_tree_tag,
tree_order_statistics_node_update> indexed_set;
vp adj[100001];
bool visited[100001];
lli paint[100001];
void dfs(lli v,lli dis){
	visited[v]=true;
	paint[v]=dis%2;
	cout<<v<<" "<<dis<<endl;
	for(lli i=0;i<adj[v].size();i++){
		if(!visited[adj[v][i].fi])dfs(adj[v][i].fi,dis+adj[v][i].se);
	}


}

int main(){
 	ios::sync_with_stdio(0);
    cin.tie(0);
  
    lli n;
    cin>>n;
    for(lli i=0;i<=n;i++)visited[i]=false;
    for(lli i=0;i<n-1;i++){
    	lli a,b,c;
    	cin>>a>>b>>c;
    	adj[a].pb(mp(b,c));
    	adj[b].pb(mp(a,c));
    }
    dfs(1,0);
   // for(lli i=1;i<=n;i++)cout<<paint[i]<<endl;
	return 0;
 }