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)

#include <string.h>
#include <stdio.h>
#include <stdlib.h>
#include<math.h>
#define ll long long
#define pai 3.1415926535897932384626433832795028841971693
int compare(const void *a, const void *b){
  return (*(ll int *)a)- (*(ll int *)b);
}


int main(){
  ll int ans=0;
  ll int n;
  scanf("%lld",&n);
  ll int a[100001],d[100001];
  for(ll int i=0;i<n;i++){
    scanf("%lld",&a[i]);
    ans+=a[i];
  }
  for(int i=0;i<n;i++){
    d[a[i]]++;
  }
  ll int q;
  scanf("%lld",&q);
  ll int b[q],c[q];
 for(ll int i=0;i<q;i++){
   scanf("%lld %lld",&b[i],&c[i]);
 }

    for(ll int i=0;i<q;i++){
      do{
      if(d[b[i]]!=0){      
       d[b[i]]--;
       d[c[i]]++;
       ans+=c[i]-b[i];
      }
      }while(d[b[i]]!=0);
       printf("%lld\n",ans);
    }

  return 0;
}