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In java using recursion. No Loops Write a method countToBy that accepts integer

ID: 3764476 • Letter: I

Question

In java using recursion. No Loops

Write a method countToBy that accepts integer parameters n and m and that produces output indicating how to count to n in increments of m separated by commas. For example, to count to 10 by 1 you'd say countToBy(10, 1); The following table shows several other calls and their expected output:

Notice that the increment does not have to be 1, such as when counting to 25 by 4s. The count must always end at n, but notice that at will not always be possible to start counting at 1, as shown in the output when n is 30 and m is 4. But the first number should always be in the range of 1 to m inclusive. It is possible that only one number will be printed, as shown in the output whenn is 3 and m is 6.

Your method should throw an IllegalArgumentException if either m or n is less than 1. Note that the output does not advance to the next line.

Call Meaning Output countToBy(10,1); count to 10 by 1s 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 countToBy(25,4); count to 25 by 4s 1, 5, 9, 13, 17, 21, 25 countToBy(30,4); count to 30 by 4s 2, 6, 10, 14, 18, 22, 26, 30 countToBy(34,5); count to 34 by 5s 4, 9, 14, 19, 24, 29, 34 countToBy(3,6); count to 3 by 6s 3 countToBy(17,3); count to 17 by 3s 2, 5, 8, 11, 14, 17

Explanation / Answer

/**
* @author srinu
*
*/
public class RecursionCount {

   /**
   * @param args
   */
   public static void main(String[] args) {
       // TODO Auto-generated method stub
       System.out.print("countToBy(10,1):");
       countToBy(10, 1);
       System.out.print(" countToBy(25,4):");
       countToBy(25, 4);
       System.out.print(" countToBy(30,4):");
       countToBy(30, 4);
       System.out.print(" countToBy(34,5):");
       countToBy(34, 5);
       System.out.print(" countToBy(3,6):");
       countToBy(3, 6);
       System.out.print(" countToBy(17,3):");
       countToBy(17, 3);

   }

   /**
   * @param m
   * @param n
   */
   public static void countToBy(int m, int n) {

       if (m <= n) {
           // System.out.println("m="+m+" n="+n);
           System.out.print(m + " ");
           return;
       }

       countToBy(m - n, n);
       System.out.print(m + " ");

   }

}

OUTPUT:

countToBy(10,1):1 2 3 4 5 6 7 8 9 10
countToBy(25,4):1 5 9 13 17 21 25
countToBy(30,4):2 6 10 14 18 22 26 30
countToBy(34,5):4 9 14 19 24 29 34
countToBy(3,6):3
countToBy(17,3):2 5 8 11 14 17

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