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.Scanner;
import java.util.Arrays;

public class Main { //HDL-style Disjoint Set
	static int N; // int_maxsize > 10000 (constrain)
	static int Q; // int_maxsize > 110000 (worstcase = 10000initial set  + 100000 new set)
	static boolean Com; //com only have two kind;
	static int V1;
	static int V2;
	static int[] S;
	static Scanner scanner;
	public static void main(String[] args){
		scanner = new Scanner(System.in);
		N = scanner.nextInt();
		S = new int[N];
		reset();
		Q = scanner.nextInt();
		FSM();
	}
	//end of main
	private static void reset(){
		Com = false;
		V1 = 0;
		V2 = 0;
		for(int i = 0; i<N; i++){
			S[i]=i;
		}
	}
	//end of reset
	private static void FSM(){
		while(Q>0){
			fetch();
			dispatch();
			Q--;
		}
	}
	//end of FSM
	private static void fetch(){
		Com = (scanner.nextInt() > 0)?true:false;
		V1 = scanner.nextInt();
		V2 = scanner.nextInt();
	}
	//end of feteh
	private static void dispatch(){
		if(Com){
			same();
		}else {
			unite();
		}
	}
	//end of dispatch
	private static void unite(){
		if(S[V1] == S[V2]){
			return;
		}else{
			merge();
		}
	}
	//end of unite
	private static void same(){
		if(S[V1] == S[V2]){
			System.out.println(1);
		}else{
			System.out.println(0);
		}
	}
	//end of same
	private static void merge(){
		V1 = S[V1];// use variable 1 to store the set code of V1
		V2 = S[V2];// use variable 2 to store the set code of V2
		for(int i = 0; i< N;i++)
		{
			if(S[i] == V1){
				S[i] = V2;
			}else{
				continue;
			}
		}
	}
}