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.*;
import java.util.*;
public class Main
{
	public static void main(String args[])throws IOException
	{
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int n = Integer.parseInt(br.readLine());
		StringTokenizer st = new StringTokenizer(br.readLine());
		//int n = Integer.parseInt(st.nextToken());
		//int k = Integer.parseInt(st.nextToken());
		HashMap<Long,Long> map = new HashMap<>();
		long arr[] = new long[n];
		long one = 1;
		//st = new StringTokenizer(br.readLine());
		for(int i=0;i<n;i++)
		{
				long x = Long.parseLong(st.nextToken());
				if(!map.containsKey(x))
					map.put(x,one);
				else
					map.put(x,map.get(x)+1);
				arr[i]=x;
		}
//		Arrays.sort(arr);
		long sum=0;
		for(int i=0;i<n;i++)
			sum += arr[i];
		//System.out.println(sum);
		int q = Integer.parseInt(br.readLine());
		while(q-->0)
		{
			st = new StringTokenizer(br.readLine());
			long b = Integer.parseInt(st.nextToken());
			long c = Integer.parseInt(st.nextToken());
			if(map.containsKey(b)){
			long f1 = map.get(b);
			sum -= b*f1;
			sum += c*f1;
			map.remove(b);
			if(!map.containsKey(c))
			map.put(c,f1);
			else
				map.put(c,map.get(c)+f1);}
			System.out.println(sum);
		}
	}
}