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 Kotlin (1.3.71) (judge verdict: Wrong Answer)

fun main(args: Array<String>) {
    val n = readInt()
    var a = readListInt().sorted().toMutableList()
    val q = readInt()
    var bc = readMatrixInt(q)
    var list = IntArray(100007).toMutableList()
    a.forEach {
        list[it]++
    }

    var ans:Long = a.sum().toLong()


    for (i in 0 until q) {

        val b = bc[i][0]
        val c = bc[i][1]
        var sa = c - b
        var count = list[b]

        list[b] -= count
        list[c] += count

        ans += sa * count
        println(ans)
    }
}

private fun read() = readLine()!!

private fun readInt() = read().toInt()

private fun readLong() = read().toLong()

private fun readDouble() = read().toDouble()

private fun readListString() = read().split(" ")

private fun readListInt() = readListString().map { it.toInt() }

private fun readListLong() = readListString().map { it.toLong() }

private fun readListDouble() = readListString().map { it.toDouble() }

private fun readMatrixString(n: Int): List<List<String>> {
    val matrix = mutableListOf<List<String>>()
    for (i in 0 until n) {
        val list = readListString()
        matrix.add(list)
    }
    return matrix
}

private fun readMatrixInt(n: Int): List<List<Int>> {
    val matrix = mutableListOf<List<Int>>()
    for (i in 0 until n) {
        val list = readListInt()
        matrix.add(list)
    }
    return matrix
}

private fun readMatrixDouble(n: Int): List<List<Double>> {
    val matrix = mutableListOf<List<Double>>()
    for (i in 0 until n) {
        val list = readListDouble()
        matrix.add(list)
    }
    return matrix
}

private fun readMatrixLong(n: Int): List<List<Long>> {
    val matrix = mutableListOf<List<Long>>()
    for (i in 0 until n) {
        val list = readListLong()
        matrix.add(list)
    }
    return matrix
}