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, p = map(int, input().split())
nodes = [x for x in range(n)]
answer = []

def get_root(idx) :
    if idx == nodes[idx] :
        return idx
    else :
        nodes[idx] = get_root(nodes[idx])
        return nodes[idx]
        
for i in range(p) :
    q, a, b = map(int, input().split())
    
    # union 
    if q == 0 :
        parent_min = min(get_root(a), get_root(b))
        nodes[get_root(a)] = nodes[get_root(b)] = parent_min
        
    # check
    else :
        if get_root(a) == get_root(b) : answer.append(1)
        else : answer.append(0)
            
for i in answer :
    print(i)