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.util.HashMap;
import java.util.Scanner;

public class Main {

    public Main() {
        Scanner scanner = new Scanner(System.in);
        int N = scanner.nextInt();

        HashMap<Long, Long> A = new HashMap<>();
        long sum = 0;
        for (int i = 0; i < N; i++) {
            long val = scanner.nextLong();

            sum += val;
            A.put(val, A.getOrDefault(val,0L) + 1);
        }

        int Q = scanner.nextInt();
        for (int i = 0; i < Q; i++) {
            long B = scanner.nextLong();
            long C = scanner.nextLong();

            long count = A.getOrDefault(B,0L);
            A.remove(B);
            A.put(C, count + A.getOrDefault(C,0L));

            sum -= B * count;
            sum += C * count;

            System.out.println(sum);
        }
    }

    public static void main(String[] args) {
        new Main();
    }
}