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 Rust (judge verdict: Accepted)

#[allow(unused_macros)]
macro_rules! scan {
    () => {
        {
            let mut line: String = String::new();
            std::io::stdin().read_line(&mut line).unwrap();
            line.trim().to_string()
        }
    };
    (;;) => {
        {
            let mut line: String = String::new();
            std::io::stdin().read_line(&mut line).unwrap();
            line.trim().split_whitespace().map(|s| s.to_string()).collect::<Vec<String>>()
        }
    };
    (;;$n:expr) => {
        {
            (0..$n).map(|_| scan!()).collect::<Vec<_>>()
        }
    };
    ($t:ty) => {
        {
            let mut line: String = String::new();
            std::io::stdin().read_line(&mut line).unwrap();
            line.trim().parse::<$t>().unwrap()
        }
    };
    ($($t:ty),*) => {
        {
            let mut line: String = String::new();
            std::io::stdin().read_line(&mut line).unwrap();
            let mut iter = line.split_whitespace();
            (
                $(iter.next().unwrap().parse::<$t>().unwrap(),)*
            )
        }
    };
    ($t:ty;;) => {
        {
            let mut line: String = String::new();
            std::io::stdin().read_line(&mut line).unwrap();
            line.split_whitespace()
                .map(|t| t.parse::<$t>().unwrap())
                .collect::<Vec<_>>()
        }
    };
    ($t:ty;;$n:expr) => {
        (0..$n).map(|_| scan!($t;;)).collect::<Vec<_>>()
    };
    ($t:ty; $n:expr) => {
        (0..$n).map(|_|
                    scan!($t)
        ).collect::<Vec<_>>()
    };
    ($($t:ty),*; $n:expr) => {
        (0..$n).map(|_|
                    scan!($($t),*)
        ).collect::<Vec<_>>()
    };
}

struct Node {
    root: usize,
    depth: usize,
    size: usize,
}

struct UnionFind {
    nodes: Vec<Node>,
}

impl UnionFind {
    fn new(n: usize) -> UnionFind {
        let nodes: Vec<_> = (0..n)
            .map(|i| Node {
                root: i,
                depth: 1,
                size: 1,
            })
            .collect();
        UnionFind { nodes }
    }

    fn _root(&self, n: usize) -> usize {
        self.nodes[n].root
    }

    fn _depth(&self, n: usize) -> usize {
        self.nodes[n].size
    }

    fn _size(&self, n: usize) -> usize {
        self.nodes[n].size
    }

    fn _find_root(&mut self, n: usize) -> usize {
        let parent = self._root(n);
        if parent == n {
            n
        } else {
            let root = self._find_root(parent);
            self.nodes[n].root = root;
            root
        }
    }

    fn union(&mut self, n: usize, m: usize) {
        let root_n = self._find_root(n);
        let root_m = self._find_root(m);
        if self._depth(root_n) == self._depth(root_m) {
            self.nodes[root_n].root = root_m;
            self.nodes[root_m].size += self._size(root_n);
            self.nodes[root_m].depth += 1;
        } else if self._depth(root_n) < self._depth(root_m) {
            self.nodes[root_n].root = root_m;
            self.nodes[root_m].size += self._size(root_n)
        } else {
            self.nodes[root_m].root = root_n;
            self.nodes[root_n].size += self._size(root_m)
        }
    }

    fn is_same(&mut self, n: usize, m: usize) -> bool {
        let root_n = self._find_root(n);
        let root_m = self._find_root(m);
        root_n == root_m
    }

    fn size(&mut self, n: usize) -> usize {
        let root = self._find_root(n);
        self.nodes[root].size
    }
}

fn main() {
    let (n, q) = scan!(usize, usize);
    let mut uf = UnionFind::new(n);

    for _ in 0..q {
        let (c, x, y) = scan!(usize, usize, usize);
        if c == 0 {
            uf.union(x, y)
        } else if uf.is_same(x, y) {
            println!("1")
        } else {
            println!("0")
        }
    }
}