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 C# (.NET Core 3.1.201) (judge verdict: Accepted)

using System;
using System.Linq;
using System.Collections.Generic;

using E = System.Linq.Enumerable;

public class Program
{
    public static void Main()
    {
        var n = int.Parse(Console.ReadLine());
        var seqA = Console.ReadLine().Split().Select(x => int.Parse(x)).ToArray();
        var q = int.Parse(Console.ReadLine());
        var queries = new (long B, long C)[q];
        for (int i = 0; i < queries.Length;  ++i)
        {
            var bc = Console.ReadLine().Split().Select(x => long.Parse(x)).ToArray();
            queries[i] = (bc[0], bc[1]);
        }

        var max = queries.Max(x => Math.Max(x.B, x.C));
        var bucket = new int[max + 1];
        for (int i = 0; i < seqA.Length; ++i)
        {
            ++bucket[seqA[i]];
        }

        var sum = 0L;
        for (int i = 0; i < seqA.Length; ++i)
        {
            sum += seqA[i];
        }

        var answers = new List<long>();
        for (int i = 0; i < queries.Length; ++i)
        {
            sum += bucket[queries[i].B] * (queries[i].C - queries[i].B);
            bucket[queries[i].C] += bucket[queries[i].B];
            bucket[queries[i].B] = 0;
            answers.Add(sum);
        }

        Console.WriteLine(string.Join(Environment.NewLine, answers));
    }
}