From loop to nested loops?
I have this program that returns a factorial N. For example, if you enter 4, it will give 1 !, 2 !, 3!
How could I convert this to use nested loops?
public class OneForLoop
{
public static void main(String[] args)
{
Scanner input = new Scanner(System.in);
System.out.print("Enter a number : ");
int N = input.nextInt();
int factorial = 1;
for(int i = 1; i < N; i++)
{
factorial *= i;
System.out.println(i + "! = " + factorial);
}
}
}
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If written as nested loops, it would look like this:
for (int i = 1; i < N; ++i)
{
int factorial = 1;
for (int j = 1; j <= i; ++j) {
factorial *= j;
}
System.out.println(i + "! = " + factorial);
}
Result:
Enter a number : 10
1! = 1
2! = 2
3! = 6
4! = 24
5! = 120
6! = 720
7! = 5040
8! = 40320
9! = 362880
This program gives the same result as yours, it takes longer. That you are already good. Note also that the factorial function grows very quickly, so it int
will be too small to hold the result even for a moderately large N.
If you want to include 10!
in the result, you need to change the condition for i < N
to i <= N
.
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Now you are calculating your factorial gradually. Just recalculate it from scratch every time. Keep in mind that what you have now is better than what I am posting, but it suits your requirements.
public class TwoForLoops
{
public static void main(String[] args)
{
Scanner input = new Scanner(System.in);
System.out.print("Enter a number : ");
int N = input.nextInt();
int factorial = 1;
for (int i = 1; i < N; ++i)
{
factorial = 1;
for(int j = 1; j <= i; j++)
{
factorial *= j;
}
System.out.println(i + "! = " + factorial);
}
}
}
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