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:
# -*- coding: utf-8 -*-

def findSet(x):
  if x == parent[x]:
    return x
  else:
    return findSet(parent[x])

def link(x, y):
  if rank[x] < rank[y]:
    parent[x] = y
  else:
    parent[y] = x
    if rank[x] == rank[y]:
      rank[y] += 1

def union(x, y):
  link(findSet(x), findSet(y))

n, q = list(map(int, input().split()))

data = (i for i in range(n))
rank = [0 for i in range(n)]
parent = [i for i in range(n)]

for i in range(q):
  f, x, y = list(map(int, input().split()))
  if f == 0:
    union(x, y)
  else:
    if findSet(x) == findSet(y):
      print(1)
    else:
      print(0)