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);
    int N =sc.nextInt();
    int M[] =new int[N];
    int L[] =new int[100000];
    long ans =0;
    for(int i=0;i<N;i++){
      M[i]=sc.nextInt();
      ans =ans +M[i];
      L[M[i]-1]=L[M[i]-1]+1;}
    int Q =sc.nextInt();
    int B[] =new int[Q];
    int C[] =new int[Q];
    for(int j=0;j<Q;j++){
      B[j]=sc.nextInt();
      C[j]=sc.nextInt();
      ans =ans+(C[j]-B[j])*L[B[j]-1];
      L[C[j]-1]=L[C[j]-1]+L[B[j]-1];
      L[B[j]-1]=0;
      System.out.println(ans);
    }
  }
}