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.Collections.Generic;
using System.Linq;
using System.Text;
using static ConsoleReader;

class Program
{
    static void Main(string[] args)
    {
        var n = Read<int>();
        var a = ReadArray<long>(n);
        var q = Read<int>();

        var s = a.Sum();
        var d = new Dictionary<long, long>();

        n.Times(i =>
        {
            if (d.ContainsKey(a[i])) d[a[i]] = d[a[i]] + 1;
            else d[a[i]] = 1;
        });

        q.Times(_ =>
        {
            var b = Read<long>();
            var c = Read<long>();
            if (d.ContainsKey(b))
            {
                var count = d[b];
                s += (c - b) * count;
                if (d.ContainsKey(c)) d[c] = d[c] + count;
                else d[c] = count;
                d.Remove(b);
            }
            Console.WriteLine(s);
        });
    }
}

public static class IntExtentions
{
    public static void Times(this int n, Action<int> action)
    {
        for (var i = 0; i < n; i++)
        {
            action(i);
        }
    }

    public static void Times(this (int n, int m) dimensions, Action<int, int> action)
    {
        var (n, m) = dimensions;
        n.Times(i => m.Times(j => action(i, j)));
    }
}

public static class ConsoleReader
{
    public static T Read<T>()
        where T : IConvertible
    {
        var inputBuffer = new StringBuilder();
        int currChar;

        while ((currChar = Console.Read()) != -1)
        {
            if (!char.IsWhiteSpace((char)currChar))
            {
                inputBuffer.Append((char)currChar);
            }
            else if (inputBuffer.Length != 0)
            {
                break;
            }
        }

        return (T)Convert.ChangeType(inputBuffer.ToString(), typeof(T));
    }

    public static T[] ReadArray<T>(int count)
        where T : IConvertible
    {
        if (count < 0)
        {
            throw new ArgumentOutOfRangeException(nameof(count), $"'{nameof(count)}' must be >= 0");
        }

        var result = new T[count];

        for (var i = 0; i < count; i++)
        {
            result[i] = Read<T>();
        }

        return result;
    }
}