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;

int main(){
	int n,a[10000],q,q1,q2,q3,q3s;
	cin >> n >> q;
	for (int i = 0; i <= n; i++){
		a[i] = i;
	}
	for (int i = 0; i < q; i++){
		cin >> q1 >> q2 >> q3;
		if (q1){
			if (a[q2] == a[q3]){
				cout << 1 << endl;
			} else{
				cout << 0 << endl;
			}
		} else {
			q3s = a[q3];
			for (int j = 0; j <= n; j++){
				if (a[j] == q3s){
					a[j] = a[q2];
				}
			}
		}
	}
	return 0;
}