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.IOException;
import java.io.InputStream;
import java.math.BigInteger;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.List;
import java.util.Map;
import java.util.NoSuchElementException;
import java.util.Scanner;

public class Main {

	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);

		Map<Integer,Long> map = new HashMap<>();
		int n = sc.nextInt();
		int[] a = new int[n];
		for( int i=0 ; i<n ; i++ ) {
			a[i] = sc.nextInt();
			map.compute( a[i], (k,v)->{ return v==null ? 1 : v+1; } );
		}
		
		int q = sc.nextInt();
		long s=0;
		for( Map.Entry<Integer, Long> it : map.entrySet() ) {
			s+= it.getKey() * it.getValue();
		}

		for( int i=0 ; i<q	 ; i++ ) {
			int b = sc.nextInt();
			int c = sc.nextInt();

			Long bCnt = map.remove(b);
			if( bCnt != null ) {
				s -= b * bCnt;
				s += c * bCnt;
				map.compute( c, (k,v)->{ return v==null ? bCnt : v+bCnt; } );
				
			}

			System.out.println(s);
		}
		
		
		
	}
}