// number of products is the count of $pizza
                    $numb_products = count($pizza);
                    $size_string = "";
// loop printing info about pizzas in table
                    for ($i = 0; $i < count($pizza); $i++) {
                        if (empty($rawr)) {
                            foreach ($pizza[$i]['size'] as $k => $s) {//$pizza[$i]= hand tossed/crunchy/pan ['size'] is beggining the loop
                                //when written ex: hand tossed_small
                                $size_post = $i . "_" . $k;
                                //creating radio button for each pizza type
                                $size_string .= "<input type=radio name='size' value='$size_post'"; //note that the input is still open
                                //creating a $_POST['size'] for the selected size. $i=HT/TC/PAN_$k=S/M/L/XL
                                $size_string .= isset($_POST['size']) ? ($_POST['size'] == $i . "_" . $k ? " checked='checked'" : "") : "";
                                //because of $k=>$s $k now equals $s so $s['name']."($".$s['price'].")<br>" grabs the size that was selected and                                    its corresponding price
                                $size_string .= ">"/*input closes here*/ . $s['name'] . " ($" . $s['price'] . ")<br>";
                                //if there are errors they would print here
                                if (isset($errors['size'][$i])) {
                                    //if errors, print in 8px red font
                                    $size_string .= "<span style='font-style:italic;font-size:8px;color:red;'>{$errors['size'][$i]}</span>";
                                }
                            }
                            // format table with printf
                            printf('
                            <tr>
                                <td><img alt="Small" id="lightboxImage"
                                        style="width: 119px; height: 88px;"
                                        src="http://i.imgur.com/%s"
                                        height="300" width="300"></td>
                                <td style="text-align: center;">%s</td>
                                <td style="text-align: left;">' . $size_string . '</td>
                            </tr>
                            ', $pizza[$i]['image'], $pizza[$i]['type'], $pizza[$i]['price']);
                            $size_string = "";
                        }
                    }