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;
using System.IO;
using System.Linq;
using System.Text;

namespace AtCoder
{
    class Program
    {
        static void Main(string[] args)
        {
            var numLine = GetConsoleLong(GetConsole().First()).ToArray();
            var opeCount = GetConsole().First();
            var operations = Enumerable.Repeat(0, opeCount).Select(x => GetConsole()).ToArray();

            var operationResult = new List<long>();
            foreach (var operation in operations)
            {
                var ope = operation.ToArray();
                for (int i = 0; i < numLine.Length; i++)
                {
                    if (numLine[i] == ope[0])
                    {
                        numLine[i] = ope[1];
                    }
                }
                operationResult.Add(numLine.Sum());
            }
            OutAllLine(operationResult.Select(x => x.ToString()));
        }

        private static IEnumerable<int> GetConsole(int count = 0)
        {
            var console = Console.ReadLine().Split(' ').Select(int.Parse);
            return count != 0 ? console.Take(count) : console;
        }
        
        private static IEnumerable<long> GetConsoleLong(int count = 0)
        {
            var console = Console.ReadLine().Split(' ').Select(long.Parse);
            return count != 0 ? console.Take(count) : console;
        }

        private static void OutAllLine(IEnumerable<dynamic> items)
        {
            var sb = new StringBuilder();
            foreach (var result in items)
            {
                sb.Append(result + "\n");
            }
            sb = sb.Remove(sb.Length - 1, 1);
            Console.WriteLine(sb);
        }
    }
}