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.*;
import java.io.*;
import java.util.Scanner;
import java.util.HashMap;

public class Main{
	public static void main(String[] args)
	{
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int[] arr = new int[n];
		long sum = 0;
		HashMap<Integer, Integer> map= new HashMap<>();
		for(int i=0;i<n;i++)
		{
			arr[i] = sc.nextInt();
			if(map.containsKey(arr[i]))
			{
				int a = map.get(arr[i]);
				a++;
				map.replace(arr[i],a);
			}
			else
			{
				map.put(arr[i],1);
			}
			sum = sum + (long)arr[i];
		}
		int q = sc.nextInt();
		int[] b = new int[q];
		int[] c = new int[q];
		for(int i=0;i<q;i++)
		{
			b[i] = sc.nextInt();
			c[i] = sc.nextInt();
			if(map.containsKey(b[i]))
			{
			int s = map.get(b[i]);
			sum = sum+(long)(s*(c[i]-b[i]));
			System.out.println(sum);
			if(map.containsKey(c[i]))
			{
				int a = map.get(c[i]);
				a = a+s;
				map.replace(c[i],a);
			}
			else
			{
				map.put(c[i],s);
			}
			map.remove(b[i]);
		}
		else
		{
			System.out.println(sum);
		}
		}
	}
}