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.HashMap;
import java.util.Map;
import java.util.Scanner;

public class Main {
	public static void main(String[] args){
		try(Scanner sc = new Scanner(System.in)) {
			
			int n = sc.nextInt();
			
			HashMap<Integer, Integer> map = new HashMap<>();
			long sum = 0;
			for(int i = 0 ; i < n ; i++ ) {
				int a = sc.nextInt();
				
				int count = 0;
				if ( map.containsKey(a)) {
					count = map.get(a);
				}
				count++;
				
				map.put(a, count);
				
				sum += a;
			}
			
			showMap(map);
			
			int q = sc.nextInt();
			
			for(int i = 0 ; i < q ; i++ ) {
				int b = sc.nextInt();
				int c = sc.nextInt();
				
				if ( map.containsKey(b)) {
					
					int count = map.remove(b);
					int diff = c - b;
					
					sum += diff * count;
					
					int cCount = 0;
					if ( map.containsKey(c)) {
						cCount = map.get(c);
					}
					cCount += count;
					map.put(c, cCount);
//					map.remove(b);
					
					showMap(map);
				}

				System.out.println(sum);

			}
			
				
		}
	}
	
	public static void showMap(Map<Integer, Integer> map) {
		
//		for(int i : map.keySet()) {
//			System.out.println("## " + i + ":" + map.get(i));
//		}
	}

}