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.Linq;
using System.Collections.Generic;

namespace ConsoleApp1 {
    public class Class {
        static void Main(string[] args) {
            var N = long.Parse(Console.ReadLine());
            var A = RL<long>();
            var Q = long.Parse(Console.ReadLine());

            var ans = new long[100001];
            foreach(var a in A) {
                ans[a] += a;
            }

            for(var i = 0; i < Q; i++) {
                var t = RL<long>();
                var B = t[0];
                var C = t[1];
                ans[C] += (ans[B] * C) / B;
                ans[B] = 0;
                Console.WriteLine(ans.Sum());
            }
        }

        static T[] RL<T>() where T : IComparable {
            if (typeof(T) == typeof(int)) {
                return (T[])(object)Console.ReadLine().Trim().Split().Select(int.Parse).ToArray();
            }
            if (typeof(T) == typeof(long)) {
                return (T[])(object)Console.ReadLine().Trim().Split().Select(long.Parse).ToArray();
            }
            if (typeof(T) == typeof(double)) {
                return (T[])(object)Console.ReadLine().Trim().Split().Select(double.Parse).ToArray();
            }
            if (typeof(T) == typeof(decimal)) {
                return (T[])(object)Console.ReadLine().Trim().Split().Select(decimal.Parse).ToArray();
            }
            return (T[])(object)Console.ReadLine().Trim().Split().ToArray();
        }
    }
}