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.Linq;
using System.Collections.Generic;

namespace d
{
    class Program
    {
        static void Main(string[] args)
        {
            var N = long.Parse(Console.ReadLine());
            var As = Console.ReadLine().Split(' ').Select(x => long.Parse(x)).ToArray();
            Dictionary<long,long> dict = new Dictionary<long, long>();
            foreach(var A in As)
            {
                if(dict.Keys.Any(x => x == A))
                {
                    dict[A] += 1;
                }
                else
                {
                    dict.Add(A, 1);
                }
            }

            long sum = 0;
            foreach(var key in dict.Keys)
            {
                sum += dict[key] * key; 
            }

            var Q = long.Parse(Console.ReadLine());
            var result = new List<long>();
            for(var i = 1; i <= Q ; i++)
            {
                var bc = Console.ReadLine().Split(' ').Select(x => long.Parse(x)).ToArray();
                var b = bc[0];
                var c = bc[1];
                if (!dict.ContainsKey(b))
                {
                    result.Add(sum);
                    continue;
                }
                
                var val = dict[b];
                if(dict.Keys.Any(x => x == c))
                {
                    dict[c] += val;
                }
                else
                {
                    dict.Add(c, val);
                }
                dict.Remove(b);
                sum += (c * val) - (b * val);
                result.Add(sum);
            }
            result.ForEach(x => Console.WriteLine(x.ToString()));
        }
    }
}