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.

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

11
12
16

Initially, the sequence $A$ is $1,2,3,4$.

After each operation, it becomes the following:

• $2, 2, 3, 4$
• $2, 2, 4, 4$
• $4, 4, 4, 4$

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

8
4
4

Note that the sequence $A$ may not contain an element whose value is $B_{i}$.

2
1 2
3
1 100
2 100
100 1000

102
200
2000