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: Accepted)

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

#define N 100010
#define MAX 1000000000000000000

int main (void)
{
    long n, q, a[N] = {0}, b[N] = {0}, c[N] = {0};
    long i, tmp;
    long long sum;

    scanf("%ld", &n);

    for (i = 0; i < n; i++) {
        scanf("%ld", &tmp);

        a[tmp]++;
    }

    scanf("%ld", &q);

    for (i = 0; i < q; i++) {
        scanf("%ld %ld", &(b[i]), &(c[i]));
    }

    for (i = 0; i < N; i++) {
        sum += i * a[i];
    }

    for (i = 0; i < q; i++) {
        sum = sum + ((c[i] - b[i]) * a[b[i]]);

        a[c[i]] += a[b[i]];
        a[b[i]] = 0;

        printf("%lld\n", sum);
    }

    return 0;
}