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 Python3 (judge verdict: Accepted)

V, E = map(int, input().split())
edge = [[] for _ in range(V)]
for _ in range(E):
    s, t = map(int, input().split())
    edge[s].append(t)
    edge[t].append(s)

group = [-1] * V
cnt = 0
for i in range(V):
    if group[i] == -1:
        group[i] = cnt
        stack = [i]
        while stack:
            v = stack.pop()
            for c in edge[v]:
                if group[c] == -1:
                    group[c] = cnt
                    stack.append(c)
        cnt += 1
for _ in range(int(input())):
    s, t = map(int, input().split())
    print('yes' if group[s] == group[t] else 'no')