Using multiple jQuery versions on the same page with jQuery noConflict

<script type="text/javascript" src="http://ajax.googleapis.com/ajax/libs/jquery/1.8.3/jquery.min.js"></script>
<script type="text/javascript">
    var $ = $.noConflict(true);
</script>
<script type="text/javascript" src="http://ajax.googleapis.com/ajax/libs/jquery/2.1.3/jquery.min.js"></script>
<script type="text/javascript">
    var $j = $.noConflict(true);
</script>
<script type="text/javascript">
    $("#Button1").live("click", function () {
        alert("Button1 clicked.")
    });
    $j(function () {
        $j("#Button2").click(function () {
            alert("Button2 clicked.")
        });
    });
</script>
<input type="button" id="Button1" value="Button1" />
<input type="button" id="Button2" value="Button2" />