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)

#!/usr/bin/env ruby
N = gets.chomp.to_i
a = gets.chomp.split.map(&:to_i)
Q = gets.chomp.to_i
K = Q.times.map { gets.split.map(&:to_i) }

ah = Hash.new
(0...N).each do |i|
  k = a[i]
  if ah.has_key?( k)
    ah[k] += 1
  else
    ah[k] = 1
  end
end

(0...Q).each do |i|
  if ah.has_key?(K[i][0])
    if ah.has_key?(K[i][1])
      ah[K[i][1]] += ah[K[i][0]]
    else
      ah[K[i][1]] = ah[K[i][0]]
    end
    ah.delete(K[i][0])
  end
  s = 0
  ah.each { |k,v|
    s += k * v
  }
  puts s
end