Problem:
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Connected Components

Write a program which reads relations in a SNS (Social Network Service), and judges that given pairs of users are reachable each other through the network.

Input

In the first line, two integer $n$ and $m$ are given. $n$ is the number of users in the SNS and $m$ is the number of relations in the SNS. The users in the SNS are identified by IDs $0, 1, ..., n-1$.

In the following $m$ lines, the relations are given. Each relation is given by two integers $s$ and $t$ that represents $s$ and $t$ are friends (and reachable each other).

In the next line, the number of queries $q$ is given. In the following $q$ lines, $q$ queries are given respectively. Each query consists of two integers $s$ and $t$ separated by a space character.

Output

For each query, print "yes" if $t$ is reachable from $s$ through the social network, "no" otherwise.

Constraints

$2 \leq n \leq 100,000$

$0 \leq m \leq 100,000$

$1 \leq q \leq 10,000$

Sample Input

10 9
0 1
0 2
3 4
5 7
5 6
6 7
6 8
7 8
8 9
3
0 1
5 9
1 3

Sample Output

yes
yes
no

Solution in Scala (judge verdict: Accepted)

object Main extends App {
    def find(m: Int, ar: Array[Int]): Int = 
        if(ar(m) == m) m else {ar(m) = find(ar(m), ar); ar(m)}

    def unite(x: Int, y: Int, ar: Array[Int]) = {
        val _x = find(x, ar)
        val _y = find(y, ar)
        if(_x != _y) ar(_x) = _y
    }

    val in = io.Source.stdin.getLines.map(_.split(" ").map(_.toInt))
    for (Array(n, m) <- in) {
        val a = (0 to n-1).toArray
        in.take(m).foreach(r => unite(r(0), r(1), a))
        val s = in.next.head
        in.take(s).foreach(q => println(if (find(q(0), a) == find(q(1), a)) "yes" else "no"))
    }
}