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:
//package ABC171;
import java.util.*;
import java.io.*;
import java.lang.*;
class Main {

	public static void main(String[] args) throws IOException{
		
		
		// TODO Auto-generated method stub
		
		BufferedReader br =new BufferedReader(new InputStreamReader(System.in));
		int n=Integer.parseInt(br.readLine());
		
		int a[]=new int[n];
		String s[]=br.readLine().split(" ");
		HashMap<Integer,Integer> hm=new HashMap<>();
		long sum=0;
		for(int i=0;i<n;i++)
		{
			a[i]=Integer.parseInt(s[i]);
			hm.put(a[i],hm.getOrDefault(a[i],0)+1);
			sum+=a[i];
			
		}
		int q=Integer.parseInt(br.readLine());
		int qr[]=new int[q];
		for(int i=0;i<q;i++)
		{
			String ss[]=br.readLine().split(" ");
			int b=Integer.parseInt(ss[0]);
			int c=Integer.parseInt(ss[1]);
			
			
			if(hm.containsKey(b)==false)
			{
				System.out.println(sum);
				
			}
			else
			{
				int count=hm.get(b); //occurence of b;
				long change=(c-b)*count;
				sum=sum+change;
				hm.remove(b);
				hm.put(c,hm.getOrDefault(c,0)+count);
				System.out.println(sum);
			}
		}
		

	}

}