jQuery: sub and subsubmenu don't slideup???

Hi all,

I am trying to add a submenu and subsubmenu to this slidingmenu example
http://www.i-marco.nl/weblog/jquery-accordion-menu/

my jquery code is

function initMenus() {
	$('ul.menu ul').hide();
	$.each($('ul.menu'), function(){
		$('#' + this.id + '.expandfirst ul:first').show();
	});
	$('ul.menu li a').click(
		function() {
			var checkElement = $(this).next();
			var parent = this.parentNode.parentNode.id;
			alert("sub: "+parent);
			if($('#' + parent).hasClass('noaccordion')) {
				$(this).next().slideToggle('normal');
				return false;
			}
			if((checkElement.is('ul')) && (checkElement.is(':visible'))) {
				if($('#' + parent).hasClass('collapsible')) {
					$('#' + parent + ' ul:visible').slideUp('normal');
				}
				return false;
			}
			if((checkElement.is('ul')) && (!checkElement.is(':visible'))) {
				$('#' + parent + ' ul:visible').slideUp('normal');
				checkElement.slideDown('normal');
				return false;
			}
		}
	);
	//*//sub sub
	$('ul.menu ul.menu ul ').hide();
	$.each($('ul.menu'), function(){
		$('#' + this.id + '.expandfirst ul:first').show();
	});
	$('ul.menu ul.menu li a').click(
		function() {
			var checkElement = $(this).next();
			var parent = this.parentNode.parentNode.parentNode.id;
			alert("subsub: "+parent);
			if($('#' + parent).hasClass('noaccordion')) {
				$(this).next().slideToggle('normal');
				return false;
			}
			if((checkElement.is('ul')) && (checkElement.is(':visible'))) {
				if($('#' + parent).hasClass('collapsible')) {
					$('#' + parent + ' ul:visible').slideUp('normal');
				}
				return false;
			}
			if((checkElement.is('ul')) && (!checkElement.is(':visible'))) {
				$('#' + parent + ' ul:visible').slideUp('normal');
				checkElement.slideDown('normal');
				return false;
			}
		}
	);
	
	//*/
	//*//sub sub sub
	$('ul.menu ul.menu ul.menu ul ').hide();
	$.each($('ul.menu'), function(){
		$('#' + this.id + '.expandfirst ul:first').show();
	});
	$('ul.menu ul.menu ul.menu li a').click(
		function() {
			var checkElement = $(this).next();
			var parent = this.parentNode.parentNode.parentNode.parentNode.id;
			alert("subsubsub: "+parent);
			if($('#' + parent).hasClass('noaccordion')) {
				$(this).next().slideToggle('normal');
				return false;
			}
			if((checkElement.is('ul')) && (checkElement.is(':visible'))) {
				if($('#' + parent).hasClass('collapsible')) {
					$('#' + parent + ' ul:visible').slideUp('normal');
				}
				return false;
			}
			if((checkElement.is('ul')) && (!checkElement.is(':visible'))) {
				$('#' + parent + ' ul:visible').slideUp('normal');
				checkElement.slideDown('normal');
				return false;
			}
		}
	);
	
	//*/
	
}
$(document).ready(function() {initMenus();});

Code (markup):

but it doesn't slide the submenu's up.

Any tips?