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 C# (judge verdict: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace _20180319_AOJ
{
    class ALDS1_11D
    {
        static void Main(string[] args)
        {
            for (;;)
            {
                string line = Console.ReadLine();
                if (string.IsNullOrEmpty(line))
                {
                    break;
                }

                int[] n_m = line.Split(' ').Select(int.Parse).ToArray();
                int n = n_m[0];
                int m = n_m[1];

                int[] group = new int[n];
                int gn = 0;
                for (int i = 0; i < m; i++)
                {
                    int[] s_t = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
                    int s = s_t[0];
                    int t = s_t[1];

                    if (group[s] == 0)
                    {
                        gn++;
                        group[s] = gn;
                    }

                    if (group[t] > 0)
                    {
                        Replace(group, group[t], group[s]);
                    }
                    else
                    {
                        group[t] = group[s];
                    }
                }

                int q = int.Parse(Console.ReadLine());
                for (int i = 0; i < q; i++)
                {
                    int[] s_t = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
                    if (group[s_t[0]] != 0 && group[s_t[0]] == group[s_t[1]])
                    {
                        Console.WriteLine("yes");
                    }
                    else
                    {
                        Console.WriteLine("no");
                    }
                }
            }
        }

        static void Replace<T>(T[] arr, T source, T dest)
        {
            for (int i = 0; i < arr.Length; i++)
            {
                if (arr[i].Equals(source))
                {
                    arr[i] = dest;
                }
            }
        }
    }
}