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;

class Program {
    static void Main (string[] args) {
        long N = long.Parse (Console.ReadLine ());
        string[] strtemp1 = Console.ReadLine ().Split (' ');
        var numarray = new long[100001];
        for (long i = 0; i < N; i++) {
            numarray[long.Parse (strtemp1[i])]++;
        }
        long Q = long.Parse (Console.ReadLine ());
        var Barray = new long[Q];
        var Carray = new long[Q];
        for (long i = 0; i < Q; i++) {
            var tmp = Console.ReadLine ().Split (' ');
            Barray[i] = long.Parse (tmp[0]);
            Carray[i] = long.Parse (tmp[1]);
        }

        long sum = 0;
        for (long i = 0; i < 100001; i++) {
            sum += (long) i * (long) numarray[i];
        }
        for (long i = 0; i < Q; i++) {
            sum -= (long) Barray[i] * (long) numarray[Barray[i]];
            sum += (long) Carray[i] * (long) numarray[Barray[i]];
            numarray[Carray[i]] += numarray[Barray[i]];
            numarray[Barray[i]] = 0;
            Console.WriteLine (sum);
        }
    }
}

//dotnet run --project test