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: Accepted)

'use strict';

function Main(input) {
    // N
    // A1 A2 A3...An
    // Q
    // B1 C1
    // B2 C2
    // ...
    // BQ CQ
    let tmp = input.trim().split('\n');
    const N = Number(tmp[0]);
    let A = tmp[1]
        .split(' ')
        .sort((a, b) => a - b)
        .map((v) => BigInt(v));
    const Q = Number(tmp[2]);
    const BC = tmp.splice(3).map((v) => v.split(' ').map((v) => BigInt(v)));

    let arr = new Array(100001).fill(0n);
    for (const v of A) {
        arr[v] += 1n;
    }

    let result = arr.reduce((sum, v, i) => sum + v * BigInt(i));

    for (let i = 0; i < Q; i++) {
        const diff = (BC[i][1] - BC[i][0]) * arr[BC[i][0]];
        result += diff;
        console.log(String(result));

        arr[BC[i][1]] += arr[BC[i][0]];
        arr[BC[i][0]] = 0n;
    }

    return;
}

Main(require('fs').readFileSync('/dev/stdin', 'utf8'));