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<?php

/*****************************

 * ProjectEuler - Problem 31

 * By Ross Marks

 *****************************

 * In England the currency is made up of pound, £, and pence, p, and there are eight coins in general circulation:

 * 

 * 1p, 2p, 5p, 10p, 20p, 50p, £1 (100p) and £2 (200p).

 * It is possible to make £2 in the following way:

 * 

 * 1×£1 + 1×50p + 2×20p + 1×5p + 1×2p + 3×1p

 * How many different ways can £2 be made using any number of coins?

 ****************************/



$awns = 0;



for($a = 0; $a <= 200; $a++){             // 1p

  for($b = 0; $b <= 100; $b++){           // 2p

    for($c = 0; $c <= 40; $c++){          // 5p

      for($d = 0; $d <= 20; $d++){        // 10p

        for($e = 0; $e <= 10; $e++){      // 20p

          for($f = 0; $f <= 4; $f++){     // 50p

            for($g = 0; $g<= 2; $g++){    // 1 pound



              $a1 = $a * 1;

              $b1 = $b * 2;

              $c1 = $c * 5;

              $d1 = $d * 10;

              $e1 = $e * 20;

              $f1 = $f * 50;

              $g1 = $g * 100;



              $total = $a1+$b1+$c1+$d1+$e1+$f1+$g1;

              if($total == 200){

                //echo "$total: $a x 1p, $b x 2p, $c x 5p, $d x 10p, $e x 20p, $f x 50p, $g x £1\n";

                $awns++;

                //break;

              }



            }

          }

        }

      }

    }

  }

}

$awns ++; // add 1 for £2 coin

echo "Answer: $awns";



?>

Project Euler Solutions by Ross Marks