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 Scala (2.13.1) (judge verdict: Wrong Answer)

// TLE
object Main extends App {
  val inputs: Seq[String] = scala.io.Source.stdin.getLines().toList
  val size = inputs(0).toInt
  val startNums = inputs(1).split(" ").map(_.toInt)
  val q = inputs(2).toInt
  val bi = inputs.splitAt(3)._2

  solve(size, startNums, q, bi)

  def solve(size: Int, startNums: Seq[Int], q: Int, bi: Seq[String]): Unit = {
    val array = scala.collection.mutable.HashMap.empty[Int, Int]
    startNums.foreach { v =>
      array.update(v, array.applyOrElse(v, (n: Int) => 0) + 1)
    }

    // 最終的に数字が何になるのかだけ処理する
    bi.foreach { str =>
      val set = str.split(" ").map(_.toInt)
      val from = set(0)
      val to   = set(1)

      array.update(to, array.applyOrElse(to, (n: Int) => 0) + array.applyOrElse(from, (n: Int) => 0))

      if(array.isDefinedAt(from)) {
        array.remove(from)
      }

      println(array.foldLeft(0)( (acc, v) => acc + v._1 * v._2))
    }
  }
}