How could one go about seperating the logic and User Interface in the below Java program? What would that look like? Thank you! Source Code: package implementingRecursion; import javax.swing.*; import java.awt.*; import java.awt.event.ActionEvent; import java.awt.event.ActionListener;   public class RecursiveProductCalculator extends JFrame { private JTextField[] numberFields; private JButton calculateButton; private JLabel resultLabel; public RecursiveProductCalculator() { setTitle("Recursive Product Calculator"); setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); setLayout(new GridLayout(7, 1));   numberFields = new JTextField[5]; for (inti = 0; i < 5; i++) { JPanel panel = new JPanel(); panel.setLayout(new FlowLayout()); JLabel label = new JLabel("Number " + (i + 1) + ": "); numberFields[i] = new JTextField(10); panel.add(label); panel.add(numberFields[i]); add(panel); } calculateButton = new JButton("Calculate"); calculateButton.addActionListener(new ActionListener() { @Override publicvoid actionPerformed(ActionEvent e) { try { int[] numbers = newint[5];   for (inti = 0; i < 5; i++) { // Perform validation for each input field if (!numberFields[i].getText().matches("-?\\d+")) { JOptionPane.showMessageDialog(null, "Invalid input in Number " + (i + 1) + "."); return; } numbers[i] = Integer.parseInt(numberFields[i].getText()); } intproduct = calculateProduct(numbers, 0); resultLabel.setText("Product: " + product); } catch (NumberFormatException ex) { JOptionPane.showMessageDialog(null, "Invalid number format. Please enter valid integers."); } } }); add(calculateButton);   resultLabel = new JLabel("Product: "); add(resultLabel);   pack(); setVisible(true); }   privateint calculateProduct(int[] numbers, intindex) { if (index == numbers.length - 1) { returnnumbers[index]; } else { returnnumbers[index] * calculateProduct(numbers, index + 1); } }   publicstaticvoid main(String[] args) { SwingUtilities.invokeLater(new Runnable() { @Override publicvoid run() { new RecursiveProductCalculator(); } }); } }

package implementingRecursion;

import javax.swing.*;

import java.awt.*;

import java.awt.event.ActionEvent;

import java.awt.event.ActionListener;

public class RecursiveProductCalculator extends JFrame {

private JTextField[] numberFields;

private JButton calculateButton;

private JLabel resultLabel;

public RecursiveProductCalculator() {

setTitle("Recursive Product Calculator");

setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);

setLayout(new GridLayout(7, 1));

numberFields = new JTextField[5];

for (inti = 0; i < 5; i++) {

JPanel panel = new JPanel();

panel.setLayout(new FlowLayout());

JLabel label = new JLabel("Number " + (i + 1) + ": ");

numberFields[i] = new JTextField(10);

panel.add(label);

panel.add(numberFields[i]);

add(panel);

}

calculateButton = new JButton("Calculate");

calculateButton.addActionListener(new ActionListener() {

@Override

publicvoid actionPerformed(ActionEvent e) {

try {

int[] numbers = newint[5];

for (inti = 0; i < 5; i++) {

// Perform validation for each input field

if (!numberFields[i].getText().matches("-?\\d+")) {

JOptionPane.showMessageDialog(null, "Invalid input in Number " + (i + 1) + ".");

return;

}

numbers[i] = Integer.parseInt(numberFields[i].getText());

}

intproduct = calculateProduct(numbers, 0);

resultLabel.setText("Product: " + product);

} catch (NumberFormatException ex) {

JOptionPane.showMessageDialog(null, "Invalid number format. Please enter valid integers.");

}

}

});

add(calculateButton);

resultLabel = new JLabel("Product: ");

add(resultLabel);

pack();

setVisible(true);

}

privateint calculateProduct(int[] numbers, intindex) {

if (index == numbers.length - 1) {

returnnumbers[index];

} else {

returnnumbers[index] * calculateProduct(numbers, index + 1);

}

}

publicstaticvoid main(String[] args) {

SwingUtilities.invokeLater(new Runnable() {

@Override

publicvoid run() {

new RecursiveProductCalculator();

}

});

}

}