Assignment 6-1
It is interesting to watch recursion “in action.” Modify the factorial method in Fig. 18.3 to print its local variable and recursive-call parameter.
For each recursive call, display the outputs on a separate line and add a level of indentation. Do your utmost to make the outputs clear, interesting, and meaningful. Your goal here is to design and implement an output format that makes it easier to understand recursion.
0! = 1
1! = 1
2! = 2
3! = 6
4! = 24
5! = 120
6! = 720
7! = 5040
8! = 40320
9! = 362880
10! = 3628800
11! = 39916800
12! = 479001600
13! = 6227020800
14! = 87178291200
15! = 1307674368000
16! = 20922789888000
17! = 355687428096000
18! = 6402373705728000
19! = 121645100408832000
20! = 2432902008176640000
Assignment 6-2
Write a recursive method printArray() that displays all the elements in an array of integers, separated by spaces. The array must be 100 elements in size and filled using a for loop and a random number generator. The pseudo-code for this is as follows:
//Instantiate an integer array of size 100
//fill the array
For (int i=0; i<array.length; i++)
Array[i] = random number between 1 and 100 inclusive
printArray(integer array);
For both assignments make sure that your screen shots show your program running and that your runtime display shows that your program does all that is required of it. You only get credit for what you demonstrate.
Submit this assignment by 11:59 p.m. (ET) on Monday of Module/Week 6.
// Fig. 18.3: FactorialCalculator.java
// Recursive factorial method.
public class FactorialCalculator
{
// recursive method factorial (assumes its parameter is = 0
public static long factorial(long number)
{
if (number <= 1) // test for base case
return 1; // base cases: 0! = 1 and 1! = 1
else // recursion step
return number * factorial(number – 1);
}
// output factorials for values 0-21
public static void main(String[] args)
{
// calculate the factorials of 0 through 21
for (int counter = 0; counter <= 21; counter++)
System.out.printf(“%d! = %d%n”, counter, factorial(counter));
}
} // end class FactorialCalculator
