Problem:
Score : 100 points

Problem Statement

You are given an undirected graph with N vertices and 0 edges. Process Q queries of the following types.

0 u v: Add an edge (u, v).

1 u v: Print 1 if u and v are in the same connected component, 0 otherwise.

Constraints

1 \leq N \leq 200,000

1 \leq Q \leq 200,000

0 \leq u_i, v_i \lt N

Input

Input is given from Standard Input in the following format:

N Q
t_1 u_1 v_1
t_2 u_2 v_2
:
t_Q u_Q v_Q

出力

For each query of the latter type, print the answer.

Sample Input 1

4 7
1 0 1
0 0 1
0 2 3
1 0 1
1 1 2
0 0 2
1 1 3

Sample Output 1

0
1
0
1

Solution in Perl (5.26.1) (judge verdict: Wrong Answer)

package dsu;
sub new{
	return bless[(-1)x$_[1]],$_[0];
}
sub merge{
	my$self=shift;
	my$x=$self->leader($_[1]);
	my$y=$self->leader($_[2]);
	return$x if$x==$y;
	($x,$y)=($y,$x)if-$self->[$x]<-$self->[$y];
	$self->[$x]+=$self->[$y];
	return$self->[$y]=$x;
}
sub same{
	my$self=shift;
	return$self->leader($_[1])==$self->leader($_[2]);
}
sub leader{
	my$self=shift;
	my$a=shift;
	return$self->[$a]<0?$a:($self->[$a]=$self->leader($self->[$a]));
}
sub size{
	return-$_[0]->[$_[1]];
}
sub groups{
}
package main;
my($N,$Q)=split$",<>;
my$dsu=dsu->new($N);
for(1..$Q){
	my($t,$u,$v)=split$",<>;
	if($t==0){
		$dsu->merge($u,$v);
	}
	else{
		print $dsu->same($u,$v)?1:0,$/;
	}
}