How to toggle button's state in angular.js?

What I'm trying to do is to enable submit button If all of the textboxes hold values in them. Disable the submit button otherwise. But the problem here is the number of textboxes may vary (dynamic) so I can not hardcode the models in ng-disabled attribute.

This is what I've tried so far: http://jsfiddle.net/codef0rmer/6uKAT/

Is there any other approach I should follow?

This is the basic idea.

<form name="myForm">
     Item1: <input ng-model="item1" required/><br/>
     Item2: <input ng-model="item2" required/><br/>
     Item3: <input ng-model="item3" required/><br/>
     <button type="submit" ng-disabled="myForm.$invalid">Submit</button>
</form>

You want to use validation. http://docs.angularjs.org/api/ng.directive:form

Put all the input field with required attributes, then any empty input element would make the form invalid. If invalid, then disable the button with ng-disable.