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.HashMap;
import java.util.Scanner;

/**
 *
 * @author HP
 */
public class Main {
   public static void main(String[] args) {
       Scanner s = new Scanner(System.in);
       int n = s.nextInt();
       HashMap<Integer,Integer> map = new HashMap<>();
       int temp;
       long sum=0;
       for(int i =0; i < n; i++) {
           temp = s.nextInt();
           sum+=temp;
           if(map.containsKey(temp))
                map.put(temp, map.get(temp)+1);
           else {
                map.put(temp,1);
           }
       }
//       System.out.println(map);
       int q = s.nextInt();
       int b,c=0,count=0;
       while(q-->0) {
           b = s.nextInt();
           c = s.nextInt();
           count=0;
           if(map.containsKey(b)) {
               temp = map.get(b);
               map.remove(b);
               sum = sum +temp *(c-b);
               if(map.containsKey(c))
                   temp+= map.get(c);
               map.put(c, temp);
           }
//           System.out.println(map);
           System.out.println(sum);
       }
   }
}