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:
class UnionFind:
	def __init__(self, n):
		self.n = n
		self.root = [-1]*(n+1)
		self.rnk = [0]*(n+1)
		self.Maxroot = -1

	def Find_Root(self, x):
		if (self.root[x] < 0):
			return x
		else:
			self.root[x] = self.Find_Root(self.root[x])
			return self.root[x]

	def Unite(self, x, y):
		x = self.Find_Root(x)
		y = self.Find_Root(y)
		if x == y:
			return 
		elif self.rnk[x] > self.rnk[y]:
			self.root[x] += self.root[y]
			if self.root[x] < self.Maxroot:
				self.Maxroot = self.root[x]
			self.root[y] = x
		else:
			self.root[y] += self.root[x]
			if self.root[y] < self.Maxroot:
				self.Maxroot = self.root[y]
			self.root[x] = y
			if self.rnk[x] == self.rnk[y]:
				self.rnk[y] += 1

	def isSameGroup(self, x, y):
		return self.Find_Root(x) == self.Find_Root(y)

	def Count(self, x):
		return self.root[self.Find_Root(x)] * (-1)


N, Q = map(int, input().split())
solve = UnionFind(N)
ans = []
for _ in range(Q):
	q,x,y = map(int, input().split())
	if q == 0:
		solve.Unite(x,y)
	else:
		ans.append(solve.isSameGroup(x,y))

for a in ans:
	if a:
		print(1)
	else:
		print(0)