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 Python (3.8.2) (judge verdict: Time Limit Exceeded)

import numpy as np

def run(n, seq, num, trials):
    count_list = np.zeros(100000, dtype=int)
    seq = np.array(seq)
    for i in seq:
        if count_list[i-1] > 0:
            continue
        count_list[i-1] = sum(np.where(seq == i,1,0))
    
    _sum = sum((k+1)*v for k,v in enumerate(count_list))
    for i in range(num):
        b, c = trials[i]
        _val = count_list[b-1]
        if _val == 0:
            print(_sum)
            continue
        _sum += (c-b)*_val
        print(_sum)
        count_list[b-1] = 0
        count_list[c-1] += _val

if __name__ == '__main__':
    n = int(input())
    seq = list(map(int, input().split()))
    num = int(input())
    trials = [map(int, input().split()) for _ in range(num)]
    run(n, seq, num, trials)