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 JavaScript (Node.js 12.16.1) (judge verdict: Time Limit Exceeded)


function main(lines) {
    const [N] = parseNumberLine(lines[0])
    const numbers = parseNumberLine(lines[1])
    const [Q] = parseNumberLine(lines[2])
    const operationLines = lines.slice(3)

    for (let i = 0; i < Q; ++i) {
        const [B, C] = parseNumberLine(operationLines[i])

        while (true) {
            const index = numbers.indexOf(B)
            if (index < 0) break
            numbers[index] = C
        }

        const r = numbers.reduce((t, v) => t + v, 0)
        console.log(r)
    }
}

function parseNumberLine(line, radix = 10) {
    return line.split(/\s+/).map(_ => parseInt(_, radix))
}

main(require("fs").readFileSync("/dev/stdin", "utf8").split("\n"))