Problem: You have a sequence A composed of N positive integers: A_{1}, A_{2}, \cdots, A_{N}.

You will now successively do the following Q operations:

* In the i-th operation, you replace every element whose value is B_{i} with C_{i}.



For each i (1 \leq i \leq Q), find S_{i}: the sum of all elements in A just after the i-th operation.

Constraints

* All values in input are integers.
* 1 \leq N, Q, A_{i}, B_{i}, C_{i} \leq 10^{5}
* B_{i} \neq C_{i}

Input

Input is given from Standard Input in the following format:


N
A_{1} A_{2} \cdots A_{N}
Q
B_{1} C_{1}
B_{2} C_{2}
\vdots
B_{Q} C_{Q}


Output

Print Q integers S_{i} to Standard Output in the following format:


S_{1}
S_{2}
\vdots
S_{Q}


Note that S_{i} may not fit into a 32-bit integer.

Examples

Input

4
1 2 3 4
3
1 2
3 4
2 4


Output

11
12
16


Input

4
1 1 1 1
3
1 2
2 1
3 5


Output

8
4
4


Input

2
1 2
3
1 100
2 100
100 1000


Output

102
200
2000

Solution (in JAVA):

Solution:
import java.util.*;
import java.io.*;
public class Main
{
    public static void main(String ars[])throws Exception
    {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        PrintWriter pw=new PrintWriter(System.out);
        int n=Integer.parseInt(br.readLine());
        String str[]=br.readLine().split(" ");
        int arr[]=new int[n];
        HashMap<Integer,Integer> hmap=new HashMap<>();
        long sum=0;
        for(int i=0;i<n;i++)
        {
            arr[i]=Integer.parseInt(str[i]);
            hmap.put(arr[i],hmap.getOrDefault(arr[i],0)+1);
            sum=sum+arr[i];
        }
        int q=Integer.parseInt(br.readLine());
        for(int i=0;i<q;i++)
        {
            str=br.readLine().split(" ");
            int b=Integer.parseInt(str[0]);
            int c=Integer.parseInt(str[1]);
            if(hmap.containsKey(b))
            {
                int freq=hmap.get(b);
                sum+=freq*(c-b);
                hmap.remove(b);
                if(hmap.containsKey(c))
                hmap.put(c,hmap.get(c)+freq);
                else
                hmap.put(c,freq);
            }
            pw.println(sum);
        }
        pw.flush();
        pw.close();
    }
}