A composite Magic number is a positive integer which is composite as well as a magic number. Composite number: A composite number is a n...

A composite Magic number is a positive integer which is composite as well as a magic number.

Composite number: A composite number is a number which has more than two factors. For example: 10 Factors are: 1,2,5,10

Magic number: A Magic number is a number in which the eventual sum of the digit d is equal to 1. For example: 28 = 2+8=10= 1+0=1

Accept two positive integers m and n, where m is less than n as user input. Display the number of composite magic integers that are in the range between m and n (both inclusive) and output them along with frequency, in the format specified below:

Example:

Input: m=10
n=100
OUTPUT:
The composite magic numbers are 10,28,46,55,64,82,91,100
Frequency of composite magic numbers: 8

Input: m=120
n=90
OUTPUT:
Invalid input
import java.io.*;
class Str1
{
int m,n,c=0;
public void takeNumbers() throws Exception
{
System.out.println("Enter the value of 'm';");
System.out.println("Enter the value of 'n';");
if(m > n)
{
System.out.println("Invalid Input.");
return;
}
System.out.println("The composite magic numbers are ");
for(;m < =n;m++)
{
if(nonPrime(m) && magic(m))
{
System.out.print(m+ " ");
c++;
}
}
System.out.println("\nFrequency of composite magic numbers:"+c);
}
private boolean nonPrime (int x)
{
int i;
for(i=2;i < x; i++)
{
if(x%i==0)
break;
}
if(i==x)
return false;
else
return true;
}
private boolean magic( int x)
{
int s=0;
while(true)
{
while(x > 0)
{
s=s+x%10;
x=x/10;
}
if(s < 10 )
break;
x=s;
s=0;
}
if(s==1)
return true;
else
return false;
}
public static void main(String args[])throws Exception
{
Str1 ob=new Str1();
ob.takeNumbers();
}
}