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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.StringTokenizer;

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());
		int[] freq = new int[(int) 1e5 + 1];
		long sum = 0;

		StringTokenizer st = new StringTokenizer(br.readLine());
		for (int i = 0; i < N; i++) {
			int num = Integer.parseInt(st.nextToken());
			sum += num;
			freq[num]++;
		}

		int Q = Integer.parseInt(br.readLine());
		StringBuilder sb = new StringBuilder();
		for (int q = 0; q < Q; q++) {
			String[] tokens = br.readLine().split(" ");
			int b = Integer.parseInt(tokens[0]);
			int c = Integer.parseInt(tokens[1]);
			sum += (c - b) * freq[b];
			freq[c] += freq[b];
			freq[b] = 0;
			sb.append(sum + "\n");
		}
		System.out.println(sb);
	}

}