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 <bits/stdc++.h>
using namespace std;
int f[1000005];
int find(int x){
	return f[x]==x?x:f[x]=find(f[x]);
}
void join(int x,int y){
	int fx=find(x);
	int fy=find(y);
	if(fx!=fy)f[fx]=fy;
}
int main(){
	int n,q,t,l,r;
	cin>>n>>q;
	for(int i=0;i<=n;i++)f[i]=i;
	while(q--){
		cin>>t>>l>>r;
		if(t)cout<<(find(l)==find(r))<<"\n";
		else join(l,r);
	}
	return 0;
}