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 PYTHON3):

Solution:
# It took me about 40 minutes to finsih this assignment.
# The task itself is relatively simple, since we have sample code on handouts.
# One problem I met was that in case 22, I had a "RecursionError" (maximum recursion depth exceeded in comparison).
# The solution was simple: import sys, and add a line "sys.setrecursionlimit(100000)".

import sys

line = input().split()
n = int(line[0])
q = int(line[1])
mat = [0]*n
for i in range(n):
	mat[i]=i
sys.setrecursionlimit(100000)

def root(a):
	if mat[a]==a:
		return a
	else:
		mat[a] = root(mat[a])
		return mat[a]

def union(a, b):
	mat[root(a)]=root(b)

def is_same(a,b):
	if root(a) == root(b):
		return 1
	else:
		return 0

for i in range(q):
	line = input().split()
	a = int(line[0])
	line[1]=int(line[1])-1
	line[2]=int(line[2])-1
	if a==0:
		union(mat[line[1]],mat[line[2]])
	if a==1:
		print(is_same(mat[line[1]],mat[line[2]]))