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 JAVA):

Solution:
import java.util.*;
import java.io.*;

class Main {
	static PrintStream out = System.out;
	static Scanner in = new Scanner(System.in);

	public static void main(String[] args) {
		int n = in.nextInt();
	    int[] v = new int[n+1];
	    for (int i = 0; i <= n; i++) {
	        v[i] = i;
	    }
	    int q = in.nextInt();
	    
	    for (int i = 0; i < q; i++) {
	        int com = in.nextInt();
	        int x = in.nextInt();
	        int y = in.nextInt();
	        if (x > y) {
	            int tmp = x;
	            x = y;
	            y = tmp;
	        }
	        if (com == 0) {
	            int tmp = v[y];
	            for (int j = 0; j <= n; j++) {
	                if (v[j] == tmp) {
	                    v[j] = v[x];
	                }
	            }
	        } else {
	            out.println(v[x] == v[y] ? 1 : 0);
	        }
	    }
	}
}