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# (Mono-csc 3.5.0) (judge verdict: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using static System.Console;
using static System.Math;
using static System.Array;

class Program
{
    public static void Main()
    {
        var n = int.Parse(ReadLine());
        var a = ReadLine().Split().Select(int.Parse).ToArray();
        var q = int.Parse(ReadLine());
        Dictionary<int, int> w = new Dictionary<int, int>();
        for(int i = 0; i < n; i++)
        {
            if(!w.ContainsKey(a[i]))
                w.Add(a[i], 0);
            w[a[i]]++;
        }
        long l = 0;
        foreach(var v in w)
        {
            l += (long)v.Key * v.Value;
        }
        for(int i = 0; i < q; i++)
        {
            var b = ReadLine().Split().Select(int.Parse).ToArray();
            for(int j = 0; j < n; j++)
            {
                if(!w.ContainsKey(b[0]))
                    w.Add(b[0], 0);
                if(!w.ContainsKey(b[1]))
                    w.Add(b[1], 0);
                w[b[1]] += w[b[0]];
                l += (long)(b[1] - b[0]) * w[b[0]];
                w[b[0]] = 0;
                w.Remove(b[0]);
            }
            WriteLine(l);
        }
    }
}