Project Euler(38)

Posted on Saturday, January 10th, 2009 at 9:22 pm by Universe Queen

Problem 38:

Take the number 192 and multiply it by each of 1, 2, and 3:

192 × 1 = 192
192 × 2 = 384
192 × 3 = 576

By concatenating each product we get the 1 to 9 pandigital, 192384576. We will call 192384576 the concatenated product of 192 and (1,2,3)

The same can be achieved by starting with 9 and multiplying by 1, 2, 3, 4, and 5, giving the pandigital, 918273645, which is the concatenated product of 9 and (1,2,3,4,5).

What is the largest 1 to 9 pandigital 9-digit number that can be formed as the concatenated product of an integer with (1,2, … , n) where n > 1?

Answer: 932718654

Implementation in Java:

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public class Euler38 
{
	public static boolean is9BitsPandigital( String number )
	{
		if( number.length() != 9 )
		{
			return false;
		}
 
		for( int i=number.length()-1; i>=0; i-- )
		{
			for( int j=0; j<i; j++ )
			{
				if( number.charAt(i) == number.charAt(j) || number.charAt(i) == '0' || number.charAt(j) == '0' )
				{
					return false;
				}
			}
		}
 
		return true;
 
	}
 
	public static String getPandigital( int number )
	{
		String s = String.valueOf( number );
		int counter = 2;
 
		while( s.length() < 9 )
		{
			s += String.valueOf( number*counter );
			counter++;
		}
 
		if( is9BitsPandigital(s) )
		{
			return s;
		}
 
		return null;
	}
 
	public static void main(String[] args) 
	{
		int result = 0;
		String s;
		int tmp;
 
		for( int i=1; i<99999; i++ )
		{
			s = getPandigital( i );
 
			if( s != null )
			{
				tmp = Integer.valueOf( s );
 
				if( tmp > result )
				{
					result = tmp;
				}
			}
		}
 
		System.out.println( result );
	}
}

1,249 Responses to “ Project Euler(38) ”

  1. Rana Says:

    Wrong answer as i guess the right answer is :

    9999*1=9999
    9999*2=19998

    so the answer is : 999919998

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