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 Ruby (2.7.1) (judge verdict: Time Limit Exceeded)

def main
  n = gets.to_i
  as = gets.chomp.split(" ").map(&:to_i)
  t_1 = as.tally
  t_2 = as.tally
  q = gets.to_i
  sum = 0
  q.times do |i|
    b,c = gets.chomp.split(" ").map(&:to_i)
    unless t_2[b].nil?
      unless t_2[c].nil?
        t_2[c] += t_2[b]
      else
        t_2[c] = t_2[b]
      end
      t_2[b] = nil
    end

    if i == 0
      t_2.each_pair do |k, v|
        next if v.nil?
        sum += k*v
      end
    else
      t1_b = t_1[b] || 0
      t1_c = t_1[c] || 0
      t2_b = t_2[b] || 0
      t2_c = t_2[c] || 0
      sum = sum - b*t1_b - c*t1_c + b*t2_b + c*t2_c
    end
    puts sum
    t_1 = Marshal.load(Marshal.dump(t_2))
  end
end

main