Problem:
Score : 400 points

Problem Statement

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.

Sample Input 1

4
1 2 3 4
3
1 2
3 4
2 4

Sample Output 1

11
12
16

Initially, the sequence A is 1,2,3,4.

After each operation, it becomes the following:

2, 2, 3, 4

2, 2, 4, 4

4, 4, 4, 4

Sample Input 2

4
1 1 1 1
3
1 2
2 1
3 5

Sample Output 2

8
4
4

Note that the sequence A may not contain an element whose value is B_{i}.

Sample Input 3

2
1 2
3
1 100
2 100
100 1000

Sample Output 3

102
200
2000

Solution in Java (OpenJDK 11.0.6) (judge verdict: Time Limit Exceeded)

import java.io.*;
import java.util.*;


/**
 * Created by Ayushi on 21 Jun 2020.
 * Problem:
 * Round:
 */

public class Main {
    public static void main(String[] args) throws IOException {
        StringTokenizer st;
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        int n = Integer.parseInt(br.readLine());
        String in = br.readLine();
        st = new StringTokenizer(in, " ");
        int a;
        long tot = 0;
        while (st.hasMoreTokens()) {
            a = Integer.parseInt(st.nextToken());
            tot += a;
        }
        int q = Integer.parseInt(br.readLine());
        String ori, rep;
        int b, c;

        int occ, diff;
        String z = " " + in + " ";
        for (int i = 0; i < q; i++) {
            st = new StringTokenizer(br.readLine(), " ");
            ori = st.nextToken();
            b = Integer.parseInt(ori);
            rep = st.nextToken();
            c = Integer.parseInt(rep);

            occ = 0;
            while (z.contains(" " + ori + " ")) {
                occ++;
                z = z.replaceFirst(" "+ori+" ", " "+rep+" ");
            }
            diff = (c-b)*occ;
            tot += diff;
            System.out.println(tot);

        }
        br.close();
    }
}