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: Accepted)

import sys

def main(n, a_n, q, bc_n):
    m = {}
    for i in range(n):
        if a_n[i] not in m:
            m[a_n[i]] = 0
        m[a_n[i]] += 1

    s = []
    for j in range(q):
        b, c = bc_n[j]

        diff = 0
        if b in m:
            diff = m[b] * c  - m[b] * b
            if c not in m:
                m[c] = m[b]
            else:
                m[c] += m[b]
            del m[b]

        ts = 0
        if len(s) == 0:
            for k, v in m.items():
                ts += k * v
        else:
            ts = s[-1] + diff
        s.append(ts)
    return s


n = int(sys.stdin.readline().strip())
a_n = [int(x) for x in sys.stdin.readline().strip().split(" ")]
q = int(sys.stdin.readline().strip())
bc_n = []
for _ in range(q):
    b, c = [int(x) for x in sys.stdin.readline().strip().split(" ")]
    bc_n.append((b, c))
for i in main(n, a_n, q, bc_n):
    print(i)