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.Linq;
using System.Collections.Generic;
using System.Numerics;

namespace ABC171
{
    class D
    {
        static void Main(string[] args)
        {
            //var NK = Console.ReadLine().Split().Select(long.Parse).ToArray();
            //var p = Console.ReadLine().Split().Select(long.Parse).OrderBy(x => x).ToArray();
            // var CA = Enumerable.Repeat(0, (int)N).Select(_ => Console.ReadLine().Split().Select(long.Parse).ToArray()).ToArray();
            //var AB = Console.ReadLine().Split().Select(long.Parse).ToArray();
            var N = long.Parse(Console.ReadLine());
            var A = Console.ReadLine().Split().Select(long.Parse).ToArray();
            var Q = long.Parse(Console.ReadLine());
            var BC = Enumerable.Repeat(0, (int)Q).Select(_ => Console.ReadLine().Split().Select(long.Parse).ToArray()).ToArray();

            var count = new long[100010];
            for (int i = 0; i < A.Length; i++)
            {
                count[A[i]]++;
            }

            var sum = new long[100010];
            for (int i = 0; i < count.Length; i++)
            {
                sum[i] = count[i] * i;
            }

            var Asum = A.Sum();

            for (int i = 0; i < Q; i++)
            {
                Asum = Asum - sum[BC[i][0]] + count[BC[i][0]] * BC[i][1];
                sum[BC[i][0]] = 0;
                sum[BC[i][1]] += count[BC[i][0]] * BC[i][1];
                count[BC[i][1]] += count[BC[i][0]];
                count[BC[i][0]] = 0;

                Console.WriteLine(Asum);
            }

        }
    }
}