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.Diagnostics.CodeAnalysis;
using System.IO;
using System.Linq;
using System.Security.Cryptography;

namespace ABC171
{

    class D
    {
        static void Main()
        {
            int N = int.Parse(Console.ReadLine());
            string[] input = Console.ReadLine().Split(" ");
            long[] A = new long[N];
            for(var i = 0; i< N;i++)
            {
                A[i] = long.Parse(input[i]);
            }
            int Q = int.Parse(Console.ReadLine());
            int[] B = new int[Q];
            int[] C = new int[Q];
            for(var i = 0; i<Q;i++)
            {
                string[] input2 = Console.ReadLine().Split(" ");
                B[i] = int.Parse(input2[0]);
                C[i] = int.Parse(input2[1]);
            }
            long[] S = new long[Q]; 
            for(var i = 0;i<Q; i++)
            {
                for(var j =0; j<N; j++)
                {
                    if(A[j]==B[i])
                    {
                        A[j] = C[i];
                    }
                }
                S[i] = A.Sum();
            }
            for(var k = 0; k< Q; k++)
            {
                Console.WriteLine(S[k]);
            }
        }
    }
}