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.Map;
import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        Scanner scan = new Scanner(System.in);
        Map<Integer, Integer> map = new HashMap<>(10000);
        int N = scan.nextInt();
        long sum = 0;
        for (int i = 0; i < N; i++) {
            int cur = scan.nextInt();
            if (!map.containsKey(cur)) {
                map.put(cur, 0);
            }
            map.put(cur, map.get(cur) + 1);
            sum += cur;
        }
        int Q = scan.nextInt();
        for (int i = 0; i < Q; i++) {
            int b = scan.nextInt();
            int c = scan.nextInt();
            if (map.containsKey(b)) {
                sum += (c - b) * (long) map.get(b);
                if (!map.containsKey(c)) {
                    map.put(c, 0);
                }
                map.put(c, map.get(c) + map.get(b));
                map.put(b, 0);
            }
            System.out.println(sum);
        }
    }
}