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)

n, q = map(int, input().split())

s =[set([i]) for i in range(n)]
p =[i for i in range(n)]

for i in range(q):
    com, x, y = map(int, input().split())
    if com:
        if y in s[p[x]]: print(1)
        else: print(0)
    else:
        s[p[x]] = s[p[x]] | s[p[y]]
        p_x_tmp = p[x]
        p_y_tmp = p[y]
        for j in range(n):
            if p[j] == p_y_tmp: p[j] = p_x_tmp