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.*;
import java.util.function.*;
import java.math.*;
public class Main {
    public static void main(String[] args){
		Scanner s = new Scanner(System.in);
		int N = Integer.valueOf(s.next());
		Map<Integer, Integer> map = new HashMap<>();
		for(int i = 0; i < N; i++) {
			int A = Integer.valueOf(s.next());
			map.put(A, map.getOrDefault(A, 0) + 1);
		}
		int Q = Integer.valueOf(s.next());
		long[] ret = new long[Q+1];
		for(Map.Entry<Integer, Integer> entry : map.entrySet()) {
			ret[0] += entry.getKey() * entry.getValue();
		}
		
		for(int i = 0; i < Q; i++) {
			int before = Integer.valueOf(s.next());
			int after = Integer.valueOf(s.next());
			
			ret[i+1] = ret[i] + (after - before) * map.getOrDefault(before, 0);
			map.put(after, map.getOrDefault(after, 0) + map.getOrDefault(before, 0));
			map.remove(before);
		}
		
		for(int i = 1; i <= Q; i++) {
			System.out.println(ret[i]);
		}
	}
}