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.

Examples

Input

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

Output

11
12
16

Input

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

Output

8
4
4

Input

2
1 2
3
1 100
2 100
100 1000

Output

102
200
2000

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