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.Scanner;

public class Main {

	public static void main(String[] args) {
		// TODO Auto-generated method stub
		Scanner scn=new Scanner(System.in);
		int n=scn.nextInt();
		long []arr =new long[n];
		long sum=0;
		HashMap<Long,Long> hm=new HashMap<>();
		for(int i=0;i<n;i++){
			arr[i]=scn.nextLong();
			sum+=arr[i];
			if(hm.containsKey(arr[i])){
				hm.put(arr[i],  hm.get(arr[i])+1l);
			}else{
				hm.put(arr[i], 1l);
			}
		}
		//System.out.println(sum);
        int q =scn.nextInt();
        StringBuilder sb=new StringBuilder();
        while(q-->0){
        	long b=scn.nextLong();
        	long c=scn.nextLong();
        	if(hm.containsKey(b)==false){
        		sb.append(sum+""+'\n');
        		continue;
        	}
        	long count = hm.get(b);
        	sum+=(c-b)*count;
        	hm.remove(b);
        	if(hm.containsKey(c)){
        		hm.put(c, hm.get(c)+count);
        	}else{
        		hm.put(c, count);
        	}
        	//System.out.println(sum);
        	sb.append(sum+""+'\n');
        	
        }
        System.out.print(sb);
	}

}