# Set - Disjoint Set: Union Find Tree

Time Limit : 3 sec, Memory Limit : 131072 KB
Japanese version is here

# 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

```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
```

```0
0
1
1
1
0
1
1
```