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 PHP (7.4.4) (judge verdict: Accepted)

<?php
  list($n) = explode(" ", trim(fgets(STDIN)));
  $a = array_map('intval', explode(" ", trim(fgets(STDIN))));
  $sum = 0;
  $count = [];
  for ($i=0; $i<$n; $i++) {
    if(!isset($count[$a[$i]])) $count[$a[$i]] = 0; 
    $count[$a[$i]]++;
    $sum += $a[$i];
  }
  $sum = array_sum($a);

  list($q) = explode(" ", trim(fgets(STDIN)));
  for ($i=0; $i<$q; $i++) {
    list($b, $c) = array_map('intval', explode(" ", trim(fgets(STDIN))));
    $count_b = 0;
    if(isset($count[$b])) {
      $count_b = $count[$b];
      if(!isset($count[$c])) $count[$c] = 0;
      $count[$c] += $count_b;
      $count[$b] = 0;
      $sum += ($c - $b) * $count_b;
    }
    echo $sum.PHP_EOL;
  }