Hi guys, I have this code that prints out AB, AB, and complements of B'. I am trying to add the fourth function, which is to print out this: "(AB) x A" (or I believe this is the Cartesian product rule). How do I add that code in? Thank you.

CODE:

import java.util.Scanner;

public class sets

{

public static void main(String args[])

{

Scanner input = new Scanner(System.in);

int n1,n2;

System.out.print("Enter SET A range: ");

n1=input.nextInt();

System.out.print("Enter SET B range: ");

n2=input.nextInt();

int[] A = new int[n1];

int[] B = new int[n2];

int[] AintersectionB = new int[n1+n2];

int[] AunionB = new int[n1+n2];

int[] Bcompliment = new int[n1+n2];

int index1=0,index2=0,index3=0;

System.out.println("Please enter integers for SET A:");

for(int i=0;i

{

A[i] = input.nextInt();

if(i>=1)

{

int flag=1;

for(int j=0;j

{

if(A[i]==AunionB[j])

{

flag=0;

}

}

if(flag==1)

{

AunionB[index1++]=A[i];

}

}

else

{

AunionB[index1++]=A[i];

}

}

System.out.println("Please enter integers for SET B:");

for(int i=0;i

{

B[i] = input.nextInt();

}

//A Union B

for(int i=0;i

{

int flag=1;

for(int j=0;j

{

if(B[i]==AunionB[j])

{

flag=0;

}

}

if(flag==1)

{

AunionB[index1++]=B[i];

}

}

//A Intersection B

for(int i=0;i

{

int flag=1;

for(int j=0;j

{

if(A[i]==B[j])

{

flag=0;

}

}

if(flag==0)

{

if(i>=1)

{

int flag1=1;

for(int k=0;k

{

if(A[i]==AintersectionB[k])

{

flag1=0;

}

}

if(flag1==1)

{

AintersectionB[index2++]=A[i];

}

}

else

{

AintersectionB[index2++]=A[i];

}

}

}

//B complement;

int p=0;

for(int i=0;i<=9;i++)

{

int flag=1;

for(int j=0;j

{

if(i==B[j])

{

flag=0;

}

}

if(flag==1)

{

if(p==1)

{

int flag1=1;

for(int k=0;k

{

if(i==Bcompliment[k])

{

flag1=0;

}

}

if(flag1==1)

{

Bcompliment[index3]=i;

index3=index3+1;

}

}

else

{

Bcompliment[index3++]=i;

p=1;

}

}

}

System.out.println("A Union B:");

for(int i=0;i

{

System.out.println(AunionB[i]);

}

System.out.println("A intersection B:");

for(int i=0;i

{

System.out.println(AintersectionB[i]);

}

System.out.println("B complement values:");

for(int i=0;i

{

System.out.println(Bcompliment[i]);

}

}

}