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.*;

public class Main {
    public static void main(String args[]) {
  Scanner sc=new Scanner(System.in);
        
       long n=sc.nextLong();
     
       HashMap<Long,Long> map=new HashMap<>();
       long sum=0;
       for(long i=0;i<n;i++)
       {
           long k=sc.nextLong();
           sum+=k;
           if(map.containsKey(k))
           {
              long b=map.get(k);
               map.put(k,b+1);
           }
           else
           map.put(k,1L);
       }
       
       long q=sc.nextLong();
       
        for(long i=0;i<q;i++)
        {
            
            long b=sc.nextLong();
         long  c=sc.nextLong();
            
            if(map.containsKey(b))
            {
                
                long k=map.get(b);
                
                sum=sum- (long)k*b+ (long)k*c;
                map.remove(b);
                
                    if(map.containsKey(c))
                    {
                      long v=map.get(c);
                        map.put(c,v+k);
                    }
                    else
                    map.put(c,k);
          
            }
            System.out.println(sum);
            
        }

    }
}