Problem: Write a program which manipulates a disjoint set S = {S1, S2, . . . , Sk}.

First of all, the program should read an integer n, then make a disjoint set where each element consists of 0, 1, ... n−1 respectively.

Next, the program should read an integer q and manipulate the set for q queries. There are two kinds of queries for different operations:

* unite(x, y): unites sets that contain x and y, say Sx and Sy, into a new set.
* same(x, y): determine whether x and y are in the same set.

Constraints

* 1 ≤ n ≤ 10000
* 1 ≤ q ≤ 100000
* x ≠ y

Input


n q
com1 x1 y1
com2 x2 y2
...
comq xq yq


In the first line, n and q are given. Then, q queries are given where com represents the type of queries. '0' denotes unite and '1' denotes same operation.

Output

For each same operation, print 1 if x and y are in the same set, otherwise 0, in a line.

Example

Input

5 12
0 1 4
0 2 3
1 1 2
1 3 4
1 1 4
1 3 2
0 1 3
1 2 4
1 3 0
0 0 4
1 0 2
1 3 0


Output

0
0
1
1
1
0
1
1

Solution (in CPP):

Solution:
#include<iostream>

using namespace std;

#define MAX_N 10000+5

int par[MAX_N];
int rnk[MAX_N];

void init(int n){
	for(int i=0;i<n;i++){
		par[i]=i;
		rnk[i]=0;
	}
}

int find(int x){
	if(par[x]==x){
		return x;
	}else{
		return par[x]=find(par[x]);
	}
}

void unite(int x,int y){
	x=find(x);
	y=find(y);
	if(x==y) return;
	if(rnk[x]<rnk[y]){
		par[x]=y;
	}else{
		par[y]=x;
		if(rnk[x]==rnk[y]) rnk[x]++;
	}
}

bool same(int x,int y){
	return find(x)==find(y);
}

int main(){

	int n,q;
	int c,x,y;

	cin>>n>>q;

	init(n+1);
	for(int i=0;i<q;i++){

		cin>>c>>x>>y;

		if(c==0) unite(x,y);
		else cout<<same(x,y)<<endl;

	}
	
}