Problem7011-- ABC171 —— D - Replacing

7011: ABC171 —— D - Replacing

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Time Limit : 1.000 sec  Memory Limit : 256 MiB

Description

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 AA just after the $i$-th operation.

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.

Constraints

All values in input are integers.
$1 \leq N, Q, A_{i}, B_{i}, C_{i} \leq 10^{5}$
$B_{i} \neq C_{i}$

Sample 1 Input

4
1 2 3 4
3
1 2
3 4
2 4

Sample 1 Output

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 2 Input

4
1 1 1 1
3
1 2
2 1
3 5

Sample 2 Output

8
4
4

Sample 3 Input

2
1 2
3
1 100
2 100
100 1000

Sample 3 Output

102
200
2000

Source/Category