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.Map;
import java.util.Scanner;
import java.util.TreeMap;

public class Main {
	public static void main(String[]args) {
		try(Scanner scan = new Scanner(System.in)){
			
			int N = scan.nextInt();
			long[]A = new long[N];
			Map<Long,Long>map = new TreeMap<Long,Long>();
			for(int i = 0;i<N;i++) {
				A[i] = scan.nextInt();
				if(map.containsKey(A[i])) {
					map.put(A[i], map.get(A[i])+1);
				}else {
					map.put(A[i], (long)1);
				}
			
			}
			int Q = scan.nextInt();
			long []B = new long[Q];
			long []C = new long[Q];
			
			for(int i = 0;i<Q;i++) {
				B[i] = scan.nextLong();
				C[i] = scan.nextLong();	
			}
			
			long goukei = 0;
			for(int i = 0;i<N;i++)goukei+=A[i];
			
			
			for(int i = 0;i<Q;i++) {
				
				if(!map.containsKey(B[i])) {
					System.out.println(goukei);
					continue;
				}
				
				long kosuu = map.get(B[i]);
				
				long sa = C[i]*kosuu-B[i]*kosuu;
				
				goukei+=sa;
				System.out.println(goukei);
				
				map.put(B[i], (long)0);
				
				if(map.containsKey(C[i])) {
					map.put(C[i], map.get(C[i])+kosuu);
				}else {
					map.put(C[i], kosuu);
				}
				
				
				
				
			}
			
			
			
		}
		
		
	}
		

}