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)

/**
 * main function
 * @param {string[]} input input from stdin
 */
function main(input) {
    const n = parseInt(input[0]);
    let seq = input[1].split(/ /g).map(c => parseInt(c)).slice(0, n);
    const q = parseInt(input[2]);
    const bcs = [...input.slice(3)].map(s => s.split(/ /g).map(n => parseInt(n)));

    bcs.forEach(([b, c], i) => {
        if (i >= q) {
            return;
        }
        seq = seq.map(n => n === b ? c : n);
        console.log(seq.reduce((a, b) => a + b));
    });
}

(() => {
    let input = '';
    process.stdin.resume();
    process.stdin.setEncoding('utf8');

    process.stdin.on('data', v => {
        input += v;
    });
    process.stdin.on('end', () => {
        main(input.split(/\r?\n/g).filter(l => l.length));
    });
})();