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)

class myQuery:
    def __init__(self,n):
        self.lists = [[i] for i in range(n)]

    def unite(self, x, y):
        for i in range(len(self.lists)):
            if x in self.lists[i]:
                for j in range(i+1, len(self.lists)):
                    if y in self.lists[j]:
                        for ele in self.lists[j]:
                            self.lists[i].append(ele)
                        self.lists.pop(j)
                        return
            elif y in self.lists[i]:
                for j in range(i+1, len(self.lists)):
                    if x in self.lists[j]:
                        for ele in self.lists[j]:
                            self.lists[i].append(ele)
                        self.lists.pop(j)
                        return

    def same(self, x, y):
        for li in self.lists:
            if x in li and y in li:
                return print(1)
            elif x in li or y in li:
                break
        return print(0)



def main():
    n, q = map(int, input().split())
    qu = myQuery(n)
    for _ in range(q):
        com, x, y = map(int, input().split())
        if com == 0:
            qu.unite(x,y)
        if com == 1:
            qu.same(x,y)


if __name__ == "__main__":
    main()