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:
n, q = map(int, input().split())
union = [x for x in range(n)]
answer = []

def root(idx) :
    if idx == union[idx] :
        return idx
    else :
        union[idx] = root(union[idx])
        return union[idx]

for i in range(q) :
    com, x, y = map(int, input().split())
    
    # union
    if com == 0 :
        min_root = min(root(x), root(y))
        union[root(x)] = union[root(y)] = min_root
        
    # non-union
    else :
        if root(x) == root(y) :
            answer.append("1")
        else :
            answer.append("0")
            
for i in answer :
    print(i)