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 Perl (5.26.1) (judge verdict: Accepted)

#!/usr/bin/perl
use POSIX qw(floor);

my ($n) = map { $_ - 0 } split(/\s+/,<STDIN>);
my @A = map { $_ - 0 } split(/\s+/,<STDIN>);

my @cntA = ();
$#cntA = 10**5;

my $tot = 0;
for(my $i=0;$i<$n;$i++){
  $cntA[$A[$i]]++;
  $tot += $A[$i];
}

my ($q) = map { $_ - 0 } split(/\s+/,<STDIN>);
for(my $i=0;$i<$q;$i++){
  my ($b,$c) = map { $_ - 0 } split(/\s+/,<STDIN>);
  $tot -= ( $b * ( $cntA[$b] - 0 ) );
  my $zo = ( $cntA[$b] - 0 );
  $cntA[$c] = ( $cntA[$c] - 0 ) + $zo;
  $cntA[$b] = 0;
  $tot += ( $c * $zo );
  print "$tot\n";
}


exit(0);