XmlPullParser - Parse nested tag

I have been looking around for answers to this question and looked at the docs, and found them hard to follow, and couldn't apply it to my question.

I have also looked at this question on stack how do I extract text from a nested xml using xmlpullparser in android?. But there must be an easier, more concise and code efficient way than uses its method.

I have this xml which I get from the web and have all set up and now I want to display it in a list view as my end result so ideally I want to get this data into an array so I can use an ArrayAdapter to get it in the list view. I think that would be the simplest way. Here is the xml.

<menu>
    <day name="monday">
        <meal name="LUNCH">
            <counter name="Deli">
                <name>Made to Order Deli Core</name>
            </counter>
        </meal>
        <meal name="DINNER">
            <counter name="Entree">
                <name>Turkey</name>
            </counter>
        </meal>
    </day>
    <day name="tuesday">
        <meal name="LUNCH">
            <counter name="Entree">
                <name>Chicken</name>
            </counter>
        </meal>
    </day>
    <day name="wednesday">
        <meal name="DINNER">
            <counter name="Deli">
                <name>Tuna Sandwich </name>
            </counter>
        </meal>
    </day>
<menu>

So what I want this is return is a Dictionary of Arrays (an array of arrays) something that would look like this

Array[] array = [["LUNCH", "DINNER"], ["LUNCH"], ["DINNER"]];

And then I would want to display this in a list view. Here is what I have so far, I have all the set up to be able to parse but not too far with the actual parsing.

private int processReceivedData(XmlPullParser xmlData) throws XmlPullParserException, IOException {
   String day = "";
    while (eventType != XmlResourceParser.END_DOCUMENT) {
            String tagName = xmlData.getName();

            switch (eventType) {
                case XmlResourceParser.START_TAG:
                    if (tagName.equalsIgnoreCase("day")) {
                        day = xmlData.getAttributeValue(null, "name");
                    }
                case XmlResourceParser.TEXT:
                    data += xmlData.getText();
                    break;
                case XmlPullParser.END_TAG:
                    if (tagName.equals("day")) {
                        recordsFound++;
                        publishProgress(day);
                    }
            }
       eventType = xmlData.next();

        }

And then this

@Override
    protected void onProgressUpdate(String... values) {
        if (values.length == 0) {
            Log.i(TAG, "no data");
        }
        else {
           String day = values[0];
        }
       super.onProgressUpdate(values);

    }

Right now this just gets the days, and thats it...

I know this is a long question, and if there is a better way to format it than an array of arrays please let me know.

Thanks for the help in advance.