Problem:
Disjoint Set

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.

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.

Constraints

1 ≤ n ≤ 10000

1 ≤ q ≤ 100000

x ≠ y

Sample 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

Sample Output

0
0
1
1
1
0
1
1

Solution in Python3 (judge verdict: Time Limit Exceeded)

def is_in_sameset(S, x, y) :
    if x <= S and y <= S :
        return True
    else :
        return False


def main() :
    n, q = [int(i) for i in input().split()]
    set_list = [{i} for i in range(n)]

    com = []
    x = []
    y = []

    for _ in range(q) :
        tmp = input().split()
        com.append(int(tmp[0]))
        x.append(int(tmp[1]))
        y.append(int(tmp[2]))



    for i in range(q) :
        if com[i] == 0 :
            set1 = set()
            set2 = set()
            for set_item in set_list :
                if set([x[i]]) <= set_item :
                    set1 = set_item
                    #set_list.remove(set_item)
                if set([y[i]]) <= set_item :
                    set2 = set_item
                    #set_list.remove(set_item)

            union_set = set1 | set2
            if set1 in set_list :
                set_list.remove(set1)
            if set2 in set_list :
                set_list.remove(set2)
            set_list.append(union_set)
        elif com[i] == 1 :
            flag = False
            for set_item in set_list :
                if is_in_sameset(set_item, set([x[i]]), set([y[i]])) :
                    flag = True
            if flag :
                print("1")
            else :
                print("0")


if __name__ == '__main__' :
    main()