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.FileNotFoundException;
import java.util.LinkedHashMap;
import java.util.Scanner;

public class Main {
    public static void main(String[] args) throws FileNotFoundException {

//    	File file = new File("src/in.txt");

        //コード
//    	Scanner sc = new Scanner(file);
    	Scanner sc = new Scanner(System.in);

    	int N = sc.nextInt();
    	long sum = 0;
		LinkedHashMap<Integer, Integer> map = new LinkedHashMap<Integer, Integer>();
		for (int i=0;i<N;i++) {
			int A = sc.nextInt();
			sum += A;
		    if (map.containsKey(A)) {
		        map.put(A, map.get(A) + 1);
		    } else {
		        map.put(A, 1);
		    }
		}

		int Q = sc.nextInt();
		for(int i=0;i<Q;i++) {
			int B = sc.nextInt();
			int C = sc.nextInt();
			if(map.containsKey(B)) {
				int num = map.get(B);
				map.put(B,0);
				if(map.containsKey(C)) {
					map.put(C,map.get(C)+num);
				} else {
					map.put(C, num);
				}
				sum = sum + (C-B) * num;
				System.out.println(sum);
			} else {
				System.out.println(sum);
			}
		}
    }
}