Problem8634--DSL_1_A : Disjoint Set

8634: DSL_1_A : Disjoint Set

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Time Limit : 1.000 sec  Memory Limit : 256 MiB

Description

Write a program which manipulates a disjoint set $S=S_1,S_2,...,S_k$.

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 $S_x$ and $S_y$, into a new set.
  • same(x,y): determine whether x and y are in the same set.

Input

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 1 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 1 Output

0
0
1
1
1
0
1
1

HINT

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