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.InputStreamReader;
import java.util.HashMap;
import java.util.Map;
import java.util.concurrent.atomic.AtomicLong;
import java.util.stream.Stream;

public class Main {
	public static void main(String[] args) {
		try (BufferedReader br = new BufferedReader(new InputStreamReader(System.in))) {
			br.readLine();
			Map<Integer,Integer> map = new HashMap<>();
			AtomicLong sum = new AtomicLong(0L);
			Stream.of(br.readLine().split(" ")).map(Integer::valueOf).forEach(num -> {
				map.merge(num, 1, (v1,v2)->v1+v2);
				sum.addAndGet(num);
			});

			br.readLine();

			String s = null;
			while((s=br.readLine()) != null) {
				int[] convs=Stream.of(s.split(" ")).mapToInt(Integer::parseInt).toArray();
				int prevKey = convs[0];
				int newKey = convs[1];


				// conv
				Integer cnt = map.remove(prevKey);
				if(cnt != null) {
					sum.getAndAdd(-(cnt.longValue() * (long)prevKey));
					sum.getAndAdd(cnt.longValue() * (long)newKey);

					// merge
					map.merge(newKey, cnt, (v1,v2)-> v1+v2);
				}
				System.out.println(sum);
			}
		} catch(Exception e) {}
	}
}