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.*;

public class Main {

    public static void main(String[] args) {

        Scanner sc = new Scanner(System.in);
        int N = sc.nextInt();
        Map<Integer, Integer> map = new HashMap<>();
        long sum = 0;
        for (int i = 0; i < N; i++) {
            int A = sc.nextInt();
            map.put(A,map.getOrDefault(A,0)+1);
            sum += A;
        }
        StringBuilder ans = new StringBuilder();
        int Q = sc.nextInt();
        for (int i = 0; i < Q; i++) {
            int B = sc.nextInt();
            int C = sc.nextInt();
            if (!map.containsKey(B)) {
                ans.append(sum).append('\n');
                continue;
            }
            int cnt = map.get(B);
            sum -= (long)cnt*B;
            sum += (long)cnt*C;
            map.put(C,map.getOrDefault(C,0)+cnt);
            map.put(B,0);
            ans.append(sum).append('\n');
        }

        System.out.print(ans);
    }
}