Problem: 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.

Examples

Input

4
1 2 3 4
3
1 2
3 4
2 4


Output

11
12
16


Input

4
1 1 1 1
3
1 2
2 1
3 5


Output

8
4
4


Input

2
1 2
3
1 100
2 100
100 1000


Output

102
200
2000

Solution (in JAVA):

Solution:
import java.io.File;
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.util.*;

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner(System.in);
        int a = sc.nextInt();
        long[] array = new long[a];

        Map<Long, Long> map = new HashMap<>();
        long originalSum = 0;
        for (int i=0; i<a; i++) {
            array[i] = sc.nextLong();
            originalSum+=array[i];
            if (map.containsKey(array[i])) map.put(array[i], map.get(array[i]) + 1);
            else map.put(array[i], 1L);
        }

        int q = sc.nextInt();
        for (int i=0; i<q; i++) {
            long b = sc.nextLong();
            long c = sc.nextLong();

            if (map.get(b) == null) {
                System.out.println(originalSum);
                continue;
            }

            long diff = (c - b) * map.get(b);
            originalSum += diff;
            System.out.println(originalSum);

            long countC = (map.get(c) != null) ? map.get(c) : 0;
            map.put(c, countC + map.get(b));
            map.put(b, 0L);
        }
    }
}