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 (GCC 9.2.1) (judge verdict: Time Limit Exceeded)

#include<stdio.h>
#include<string.h>

#define BEFORE 0
#define AFTER 1

int org_array[100000];
int q_array[100000][2];
int conver_array[100000];
long long int a_array[100000];

int main()
{
    int n, q;
    int max_num = 0;
    long long int sum = 0;

    scanf("%d", &n);

    for (int i = 0; i<n; i++)
    {
        scanf("%d", &org_array[i]);

        if (org_array[i] > max_num)
        {
            max_num = org_array[i];
        }
    }

    scanf("%d", &q);

    for (int i = 0; i<q; i++)
    {
        scanf("%d %d", &q_array[i][BEFORE], &q_array[i][AFTER]);
    }

    for (int i = 0; i<=max_num; i++)
    {
        conver_array[i] = i;
    }

    for (int i = 0; i<q; i++)
    {
        for (int j = 0; j <= max_num; j++)
        {
            if (conver_array[j] == q_array[i][BEFORE])
            {
                conver_array[j] = q_array[i][AFTER];
            }
        }

        sum = 0;
        for (int i = 0; i<n; i++)
        {
            sum += conver_array[org_array[i]];
        }
        a_array[i] = sum;
    }

    for (int i = 0; i<q; i++)
    {
            printf("%lld\n", a_array[i]);
    }

    return 0;
}