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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.HashMap;
import java.util.Scanner;

public class Main {
	
    public static void main(String[] args) throws IOException {
    	Scanner s = new Scanner(System.in);
		PrintWriter out = new PrintWriter(System.out);
		BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
		String[] input;
		int n = Integer.parseInt(reader.readLine());
		long sum = 0;
		input = reader.readLine().split(" ");
		HashMap<Integer, Integer> map = new HashMap<Integer, Integer>();
		long[] arr = new long[100001];
		for(int i = 0; i < n; i++) {
			int a = Integer.parseInt(input[i]);
			arr[a]++;
			sum += a;
		}
		int q = Integer.parseInt(reader.readLine());
		while(q-->0) {
			input = reader.readLine().split(" ");
			int b = Integer.parseInt(input[0]), c = Integer.parseInt(input[1]);
			long temp = arr[b];
			arr[b] = 0;
			sum -= temp * b;
			arr[c] += temp;
			sum += temp * (long)c;
			out.println(sum);
		}
		out.flush();
		out.close();
    }
}