/**
  * Render a hidden element for empty/unchecked value
  *
  * @param  MultiCheckboxElement $element
  * @param  array                $attributes
  * @return string
  */
 protected function renderHiddenElement(MultiCheckboxElement $element, array $attributes)
 {
     $closingBracket = $this->getInlineClosingBracket();
     $uncheckedValue = $element->getUncheckedValue() ? $element->getUncheckedValue() : $this->uncheckedValue;
     $hiddenAttributes = array('name' => $element->getName(), 'value' => $uncheckedValue);
     return sprintf('<input type="hidden" %s%s', $this->createAttributesString($hiddenAttributes), $closingBracket);
 }