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:
#  http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DSL_1_A&lang=jp
#  Disjoint Set: Union Find Tree : python3
#  2018.12.23 yonezawa

#from collections import deque
import sys
input = sys.stdin.readline
#import cProfile
#from math import cos,sin,radians,sqrt
from collections import deque

def main():
    (n,q) = map(int,input().split())
    s = [i for i in range(n)]
    dq = [deque() for i in range(n)]
    for i in range(n):
        dq[i].append(i)
    
    
    for i in range(q):
        (a,b,c) = map(int,input().split())
        #print (a,b,c)
        if a == 0:
            sb = s[b]
            sc = s[c]
            if sb == sc:
                continue
            dq[sb].extend(dq[sc])
            dq[sc] = None
            for j in dq[sb]:
                s[j] = sb
        elif a == 1:
            if c in dq[s[b]]:
                print ("1")
            else:
                print("0")
    
if __name__ == '__main__':
    main()
    #pr = cProfile.Profile()
    #pr.runcall(main)
    #pr.print_stats()