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;

namespace test
{
    class Program
    {
        static void Main(string[] args)
        {
            int N = int.Parse(Console.ReadLine());
            long[] A = Console.ReadLine().Split(" ").Select(x => long.Parse(x)).ToArray();
            Array.Sort(A);
            int Q = int.Parse(Console.ReadLine());
            long[,] BC = new long[Q,2];
            for (int i = 0; i < Q; i++)
            {
                int[] s = Console.ReadLine().Split(" ").Select(x => int.Parse(x)).ToArray();
                BC[i, 0] = s[0];
                BC[i, 1] = s[1];
            }
            for (int i = 0; i < Q; i++)
            {
                bool t = true;
                while (t)
                {
                    int k = Array.BinarySearch(A, BC[i, 0]);
                    if (k >= 0)
                    {
                        A[k] = BC[i, 1];
                        Array.Sort(A);
                    }
                    else
                    {
                        t = false;
                    }
                }
                Console.WriteLine(A.Sum());
            }
        }
    }
}