Prove that the following languages are regular- Draw and give the 5-tu.pdf

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Prove that the following languages are regular. Draw and give the 5-tuple representations of the DFAs that recognize the following language descriptions: 1. L = { w { a , c , b } :every string w contains c or ( b c ) } 2. L = { w { 0 , 1 } : strings with odd number of 0 AND odd number of 1 } ..

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public class EllipsoidList { private String list; private ArrayList<Ellipsoid> ellipsoidList; private ArrayList<Ellipsoid> ellipsoids = new ArrayList<Ellipsoid>(); public ArrayList<Ellipsoid> readFile(String filename) throws FileNotFoundException { Scanner input = new Scanner(new File(filename)); ArrayList<Ellipsoid> list = new ArrayList<Ellipsoid>(); while (input.hasNextLine()) { String line = input.nextLine(); String[] parts = line.split(","); String label = parts[0]; double a = Double.parseDouble(parts[1]); double b = Double.parseDouble(parts[2]); double c = Double.parseDouble(parts[3]); list.add(new Ellipsoid(label, a, b, c)); } input.close(); ellipsoidList = new ArrayList<Ellipsoid>(); return list; } public void addEllipsoid(String name, double a, double b, double c) { Ellipsoid e = new Ellipsoid(name, a, b, c); ellipsoids.add(e); } public Ellipsoid findEllipsoid(String name) { for (Ellipsoid e : ellipsoids) { if (e.getName().equalsIgnoreCase(name)) { return e; } } return null; } public Ellipsoid deleteEllipsoid(String name) { for (int i = 0; i < ellipsoids.size(); i++) { Ellipsoid e = ellipsoids.get(i); if (e.getName().equalsIgnoreCase(name)) { ellipsoids.remove(i); return e; } } return null; } public Ellipsoid editEllipsoid(String name, double a, double b, double c) { for (int i = 0; i < ellipsoids.size(); i++) { Ellipsoid e = ellipsoids.get(i); if (e.getName().equalsIgnoreCase(name)) { return e; } } return null; } public ArrayList<Ellipsoid> getList() { return ellipsoidList; } /** * Create a EllipsoidList object. * @param listIn for listName * @param ellipsoidListIn for ellipsoidList */ public EllipsoidList(String listIn, ArrayList<Ellipsoid> ellipsoidListIn) { list = listIn; ellipsoidList = new ArrayList<Ellipsoid>(); for (Ellipsoid e : ellipsoidListIn) { ellipsoidList.add(e); } } //methods /** * @return the list name */ public String getName() { return list; } /** * @return the list name */ public int numberOfEllipsoids() { return ellipsoidList.size(); } /** * @return the list name */ public double totalVolume() { double total = 0; //use for each loop for (Ellipsoid e : ellipsoidList) { if (e != null) { total += (e.volume()); } } // return the total volume return total; } /** * counts the total. * * @return totalSurfaceArea */ public double totalSurfaceArea() { double total = 0; //use for each loop for (Ellipsoid e : ellipsoidList) { if (e != null) { total += (e.surfaceArea()); } } return total; } /** * finds. * * @return averageVolume */ public double averageVolume() { if (this.numberOfEllipsoids() == 0) { return 0; } else { return this.totalVolume() / this.numberOfEllipsoids(); } } /** * finds. * * @return averageSurfaceArea */ public double averageSurfaceArea() { if (this.numberOfEllipsoids() == 0) { return 0; } else { return this.totalSurfaceArea() / this.numberOfEllipsoids(); } } /** * gets a summary of the ellipsoid in the list. * * @return summaryInfo */ public String toString() { String result = getName() + "\n"; int index =.

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