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.math.BigInteger;
import java.util.*;
public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int[] arr = new int[n];
        BigInteger sum = BigInteger.ZERO;
        Map<Integer, Integer> counter = new HashMap<>();
        for (int i = 0; i < n; i++) {
            arr[i] = sc.nextInt();
            counter.put(arr[i], counter.getOrDefault(arr[i], 0) + 1);
            sum = sum.add(BigInteger.valueOf(arr[i]));
        }
        int q = sc.nextInt();
        BigInteger[] ans = new BigInteger[q];
        for (int i = 0; i < q; i++) {
            int x = sc.nextInt();
            int y = sc.nextInt();
            if (counter.containsKey(x)) {
                int counts = counter.get(x);
                // sum += counts * (y - x);
                sum = sum.add(BigInteger.valueOf(counts).multiply(BigInteger.valueOf(y-x)));
                counter.remove(x);
                counter.put(y, counter.getOrDefault(y, 0) + counts);
            }
            ans[i] = sum;
        }
        for (BigInteger i : ans) {
            System.out.println(i);
        }
    }
}