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: Accepted)

# n = gets.chomp.to_i
# a = gets.chomp.split(" ").map(&:to_i)
# arr = Array.new(100000,0)
# ar = arr.size
# #p arr
# a.each do |i|
#     arr[i] = arr[i] + 1
# end

# q = gets.chomp.to_i
# q.times do |j|
#     all = 0
#     b,c = gets.chomp.split(" ").map(&:to_i)
#     until arr[b] == 0
#     arr[b] = arr[b] - 1
#     arr[c] = arr[c] + 1
#     end
#     #p arr
#     (0..ar-1).each do |o|
#         all += arr[o] * o
#     end
#     puts all
# end

n = gets.chomp.to_i
a = gets.chomp.split(" ").map(&:to_i)
ans = a.inject(:+)
hash = Hash.new(0)
aa = a.size
#(0..10001).each do |i|
    #hash[*0..100] = 0
#end
(0..aa-1).each do |i|
    hash[a[i]] += 1
end
#p hash
q = gets.chomp.to_i
q.times do 
    all = []
    b,c = gets.chomp.split(" ").map(&:to_i)
    
    hash[c] += hash[b]
    kari = hash[b]
    hash[b] = 0
    # puts "YY"
    # p ans
    # p kari
    # p hash
    # p hash[c]
    # p hash[b]
    # puts "TTT"
    #p hash
    #hash.each {|i,j| all <<  i*j }
    ans = ans + kari * c -  kari * b
    puts ans
end