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.math.BigInteger;
import java.util.ArrayList;
import java.util.List;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		// TODO 自動生成されたメソッド・スタブ
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		sc.nextLine();
		BigInteger sum = BigInteger.ZERO;
		BigInteger[] nums = new BigInteger[100001];
		for (int i = 0; i < n; i++) {
			int num = sc.nextInt();
			if (nums[num] == null) {
				nums[num] = BigInteger.ONE;
			} else {
				nums[num] = nums[num].add(BigInteger.ONE);
			}
			sum = sum.add(BigInteger.valueOf(num));
		}
		sc.nextLine();
		int q = sc.nextInt();
		List<BigInteger> sumList = new ArrayList<BigInteger>();
		for (int i = 0; i < q; i++) {
			sc.nextLine();
			int b = sc.nextInt();
			int c = sc.nextInt();
			BigInteger bigB = BigInteger.valueOf(b);
			BigInteger bigC = BigInteger.valueOf(c);
			BigInteger cnt = nums[b] == null ? BigInteger.ZERO : nums[b];
			sum = sum.add(bigC.multiply(cnt));
			sum = sum.subtract(bigB.multiply(cnt));
			sumList.add(sum);
			
			if (nums[c] == null) {
				nums[c] = cnt;
			} else {
				nums[c] = nums[c].add(cnt);
			}
			nums[b] = BigInteger.ZERO;
		}
		
		for (BigInteger i : sumList) {
			System.out.println(i);
		}
	}
}