I'm a professional game developer from Wakefield, England, working as a senior programmer for Rebellion North.

I'm a married father of five and I a also sometimes do Retroburn stuff.

Martin 'Bytrix' Caine

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Monday, May 31st 2010 / Web

Project Euler - problem 2

The second Project Euler problem was another simple one:

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:

1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...

Find the sum of all the even-valued terms in the sequence which do not exceed four million.

I created a few variables to store the elements in the Fibonacci sequence and worked my way up while summing the total of all the even elements below 4 million:



<?
/******************************************************************
*  ProjectEuler.net  *  Problem 2  *  2010-05-31  *  Martin Caine *
******************************************************************/

$total = 0;

// store 3 numbers in the sequence
$first = 0;
$second = 1;
$third = 2;

// while the last element is less than or equal to 4 million
while( $third <= 4000000 )
{
    // check for even-ness and add to total
    if( ($third/2) == (int)($third/2) )
    {
        $total += $third;
    }
    // calculate the next numbers int he sequence
    $first = $second;
    $second = $third;
    $third = $first+$second;
}

echo $total;

?>

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Tags: php project euler web