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: Time Limit Exceeded)

using System;
using System.Collections.Generic;

public class Program
{
	public static Int64 sum(Dictionary<String, Int64> nums)
	{
		Int64 sum = 0;
		foreach (KeyValuePair<String, Int64> item in nums)
		{
			sum += item.Value * Convert.ToInt64(item.Key);
		}

		return sum;
	}

	public static void Main(String[] args)
	{
		var numbers = new Dictionary<String, Int64>();
		Int64 numberOfElements = Convert.ToInt64(Console.ReadLine());
		foreach (String x in Console.ReadLine().Split(' '))
		{
			if (numbers.ContainsKey(x))
			{
				numbers[x] += 1;
			}
			else
			{
				numbers.Add(x, 1);
			}
		}

		Int64 numOfOperations = Convert.ToInt64(Console.ReadLine());
		for (Int64 i = 0; i < numOfOperations; ++i)
		{
			String[] x = Console.ReadLine().Split(' ');
			if (numbers.ContainsKey(x[0]))
			{
				Console.WriteLine((Convert.ToInt64(x[1]) - Convert.ToInt64(x[0])) * numbers[x[0]] + sum(numbers));
				if (numbers.ContainsKey(x[1]))
					numbers[x[1]] += numbers[x[0]];
				else
					numbers[x[1]] = numbers[x[0]];
				numbers[x[0]] = 0;
			}
			else
				Console.WriteLine(sum(numbers));
		}
	}
}