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.*;
public class Main {

    private static int[] arr = new int[100001];
    private static int N, Q;
    public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));

        N = Integer.parseInt(br.readLine());

        String[] temp = br.readLine().split(" ");
        for(int i=0;i<temp.length;i++){
            arr[Integer.parseInt(temp[i])]++;
        }

        long sum = 0;
        for(int i=1;i<=100000;i++){
            sum += i*arr[i];
        }

        Q = Integer.parseInt(br.readLine());
        while(Q-- > 0){
            temp = br.readLine().split(" ");
            int from = Integer.parseInt(temp[0]);
            int to = Integer.parseInt(temp[1]);

            arr[to] += arr[from];
            sum += (long)to*(long)arr[from];
            sum -= (long)from*(long)arr[from];
            arr[from] = 0;
            bw.write(sum + "\n");
        }
        bw.flush();



    }
}