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;
using System.Collections.Generic;
using System.IO;
using System.Linq;

namespace D
{
    public class Program
    {
        static void Main(string[] args)
        {
            var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
            Console.SetOut(sw);
            Solve();
            Console.Out.Flush();
        }

        public static void Solve()
        {
            var N = int.Parse(Console.ReadLine());
            var A = Console.ReadLine().Trim().Split(' ').Select(long.Parse).ToArray();
            var Q = int.Parse(Console.ReadLine());
            var dict = new Dictionary<long, long>();
            var answer = 0L;
            for (var i = 0; i < A.Length; i++)
            {
                if (dict.ContainsKey(A[i])) dict[A[i]]++;
                else dict[A[i]] = 1L;
                answer += A[i];
            }

            for (var i = 0; i < Q; i++)
            {
                var BC = Console.ReadLine().Trim().Split(' ').Select(long.Parse).ToArray();
                var B = BC[0];
                var C = BC[1];
                if (!dict.ContainsKey(B)) dict[B] = 0L;
                if (!dict.ContainsKey(C)) dict[C] = 0L;
                dict[C] += dict[B];
                answer += (C - B) * dict[B];
                dict.Remove(B);
                Console.WriteLine(answer);
            }
        }
    }
}