Project Euler(4)

Posted on Monday, November 24th, 2008 at 10:44 pm by Universe Queen

Problem 4:

A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91*99.

Find the largest palindrome made from the product of two 3-digit numbers.

Answer: 906609

Implementation in Java:

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public class Euler4 
{
	public static boolean isPalindrome( Integer number )
	{
		String s = number.toString();
 
		for( int i=0; i<s.length()/2; i++ )
		{
			if( s.charAt(i) != s.charAt(s.length()-i-1) )
			{
				return false;
			}
		}
 
		return true;
	}
 
	public static void main(String[] args) 
	{	
		int result = 0;
 
		for( int i=100; i<1000; i++ )
		{
			for( int j=100; j<1000; j++ )
			{
				if( isPalindrome(i*j) && (i*j>result) )
				{
					result = i*j;
				}
			}
		}
 
		System.out.println( result );
	}
}

222 Responses to “ Project Euler(4) ”

  1. harish Says:

    A little more efficient code i did from yours only sorry if i should not do that

    public class Euler4
    {
    public static boolean isPalindrome( Integer number )
    {
    String s = number.toString();

    for( int i=0; i=100; i– )
    {
    for( int j=i; j>100; j– )
    {
    if(i*j<=result)
    {
    break;
    }

    if( isPalindrome(i*j) )
    {
    result = i*j;
    }
    }
    }

    System.out.println( result );
    }
    }

  2. harish Says:

    sorry i did not post properly
    In the main method some improvements can be done i suppose if we start i from 999 and go downwards

    for(int i=999;i>100;i–)
    {
    for(int j=i;j>100;j–)
    {
    if(i*j<=result)
    {
    break;
    }
    if((isPali(i*j))
    {
    result=i*j;
    }
    }
    }
    System.out.println(result);
    }
    }

  3. Universe Queen Says:

    Thank you, starting i from 999 and going downwards seems better.

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