Problem:
Score : 400 points

Problem Statement

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.

Sample Input 1

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

Sample Output 1

11
12
16

Initially, the sequence A is 1,2,3,4.

After each operation, it becomes the following:

2, 2, 3, 4

2, 2, 4, 4

4, 4, 4, 4

Sample Input 2

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

Sample Output 2

8
4
4

Note that the sequence A may not contain an element whose value is B_{i}.

Sample Input 3

2
1 2
3
1 100
2 100
100 1000

Sample Output 3

102
200
2000

Solution in C (GCC 9.2.1) (judge verdict: Time Limit Exceeded)

/* abc_171_d */

#include<stdio.h>
#include<stdlib.h>

int main()
{
  int N,Q,t;
  int A[100000],B[100000],C[100000];
  long long S[100000];
  int i,j,k,l;
  scanf("%d",&N);
  for(i=0;i<N;i++){
    scanf("%d",&A[i]);
  }
  scanf("%d",&Q);
  for(i=0;i<Q;i++){
    scanf("%d",&B[i]);
    scanf("%d",&C[i]);
    S[i]=0;
  }
  for(k=0;k<N;k++){
    for(l=k+1;l<N;l++){
      if(A[k]>A[l]){
        t=A[l];
        A[l]=A[k];
        A[k]=t;
      }
    }
  }
  for(i=0;i<Q;i++){
    for(k=0;k<N;k++){
      for(l=k+1;l<N;l++){
        if(A[k]>A[l]){
          t=A[l];
          A[l]=A[k];
          A[k]=t;
        }
      }
    }
    for(j=0;j<N;j++){
      if(A[j]==B[i]){
        A[j]=C[i];
      } else if(A[j]>B[i]) break;
    }
    for(j=0;j<N;j++){
      S[i]+=A[j];
    }
    printf("%lld\n",S[i]);
  }
  return 0;
}