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  1. import java.util.Scanner;
  2.  
  3. public class AsymptoteFinder {
  4.     public static void main(String[] args) {
  5.         Scanner keyboard = new Scanner(System.in);
  6.  
  7.         System.out.print("What is Integer M? ");
  8.         int integerM = keyboard.nextInt();
  9.         System.out.print("What is Integer N? ");
  10.         int integerN = keyboard.nextInt();
  11.  
  12.         if (integerM == integerN) {
  13.             System.out.println("The asymptote is horizontal.");
  14.         } else if (integerN > integerM) {
  15.             System.out.println("THe asymptote is the x axis.");
  16.         } else {
  17.             int n = (integerM - integerN);
  18.             switch (n) {
  19.                 case 1:
  20.                     System.out.println("The asymptote is linear.");
  21.                     break;
  22.                 case 2:
  23.                     System.out.println("The asymptote is quadratic.");
  24.                     break;
  25.                 case 3:
  26.                     System.out.println("The asymptote is cubic.");
  27.                     break;
  28.                 case 4:
  29.                     System.out.println("The asymptote is quartic.");
  30.                     break;
  31.                 case 5:
  32.                     System.out.println("The asymptote is quintic.");
  33.                     break;
  34.                 case 6:
  35.                     System.out.println("The asymptote is sextic.");
  36.                     break;
  37.                 case 7:
  38.                     System.out.println("The asymptote is septic.");
  39.                     break;
  40.                 case 8:
  41.                     System.out.println("The asymptote is octic.");
  42.                     break;
  43.                 case 9:
  44.                     System.out.println("The asymptote is nonic.");
  45.                     break;
  46.                 case 10:
  47.                     System.out.println("The asymptote is decic.");
  48.                     break;
  49.                 default:
  50.                     System.out.println("Difference between Integer M and Integer N cannot be greater than 10");
  51.             }
  52.         }
  53.     }
  54. }
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