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: Runtime Error)

fun main(args: Array<String>) {
    val n = readLine()!!.toInt()
    val l = readLine()!!.split(" ").map { it.toInt() }.groupBy { it }
    var m = mutableMapOf<Int, Int>()
    l.forEach{
        m.put(it.key, it.value.size)
    }
    val x = readLine()!!.toInt()
    for (i in 0 until x){
        val (x, y) = readLine()!!.split(" ").map{ it.toInt() }
        if(m.containsKey(y)){
            m[y] = m[x]!! + m[y]!!
            m.remove(x)
        }
        else if (m.containsKey(x)) {
            m.put(y, m[x]!!)
            m.remove(x)
        }
        var a = 0
        m.forEach {
            a += it.key * it.value
        }
        println(a)
    }
}