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.Map.Entry;
public class Main {
	
	public static void main(String[] args) {
		Scanner S = new Scanner( System.in ) ;
		int n = S.nextInt() ;
		Long[] arr = new Long[n] ;
		long result = 0 ;
			long aa = 0 ;
		HashMap<Long,Long> map = new HashMap<>() ;
		for( int i=0;i<n;i++ ){
			arr[i] = S.nextLong();
			result += arr[i] ;
			map.put( arr[i] , map.getOrDefault( arr[i] , aa )+1 ) ;
		} 

		int op = S.nextInt() ;
		for( int i=0;i<op;i++ ) {
			long a = S.nextLong() ;
			long b = S.nextLong() ;
			if( map.containsKey(a) ) {
			long value = map.get( a ) ;
			map.remove( a ) ;
			map.put( b , map.getOrDefault( b , aa )+value ) ;
			result = ( result - ( value*a ) ) + ( value*b ) ;
			}	
			System.out.println(  result );
		}
	}
}