if ( typeof(WolframAlphaWidget) !== 'object' || WolframAlphaWidget === null ){
    var WolframAlphaWidget = {};
}

WolframAlphaWidget['b197e443a8687853211f069f47bdb24d'] = {
  'id'       : 52549,
  'width'    : 575,
  'height'   : 450,
  'title'    :'\u0395\u039C\u0392\u0391\u0394\u039F \u039C\u0395\u03A4\u0391\u039E\u03A5 \u0394\u03A5\u039F \u03A3\u03A5\u039D\u0391\u03A1\u03A4\u0397\u03A3\u0395\u03A9\u039D',
  'theme'    :'green',
  'output'   :'popup',
  'popHeight': 690,
  'rowCount' : 5+0,
  'podSelectBase' : '\x26podstate\x3DInput__More\x2520digits\x26podstate\x3DInput__Fewer\x2520digits\x26showAssumptions\x3D1\x26showWarnings\x3D1',
  'podSelect': '',
  'initialized' : false
};


WolframAlphaWidget.getInput = function( id ){
    var txt = jQuery('#wolframAlphaWidgetForm'+id+' input[name="querytemplate"]').val()
    if ( !txt || txt=='' ){
        return '';
    }

    var regex = /\${\w+}/g;
    var field = txt.match(regex);

    var param = {};
    var i = '#wolframAlphaWidgetForm'+id;
    var inputs = jQuery(i+' input:text').add(i+' input:checked').add(i+' select');
    for ( var i = 0 ; i < inputs.length ; i++ ){ //>
        var el = jQuery(inputs[i]);
        var name = el.attr('name');
        param[name] = el.val();
    }

    var result = txt;
    if ( field == null ){ return result; }

    for ( var i = 0 ; i < field.length ; i++ ){//>
        var f = field[i].slice(2,-1);               //get field name minus id
        var v = param[f];                           //get field value
        if ( typeof v == 'undefined' ){
          v = '';}
        var regex = new RegExp('\\\${'+f+'}','g');
        result = result.replace(regex,v);
    }

    return result;
}


WolframAlphaWidget.getAllInputs = function( id ){
    var result = '',
        param = {},
        i = '#wolframAlphaWidgetForm'+id,
        inputs = jQuery(i+' input:text').add(i+' input:checked').add(i+' select');
    
    for ( var i = 0 ; i < inputs.length ; i++ ){ //>
        var el = jQuery(inputs[i]);
        result += '&'+encodeURIComponent('input_'+el.attr('name'))+'='+encodeURIComponent(el.val());
    }
    return result;
}



WolframAlphaWidget.widthConstrained = function( wuid ){
    var width = 575;
    try {
        width = WolframAlphaWidget[wuid]['width'];
    }
    catch(e){}
    return ( width > document.body.clientWidth );
}

WolframAlphaWidget.heightConstrained = function( wuid ){
    var height = 450;
    try {
        height = WolframAlphaWidget[wuid]['popHeight'];
    }
    catch(e){}
    return ( height > document.documentElement.clientHeight );
}


WolframAlphaWidget.serializeById = function(wid){
  var i = '#wolframAlphaWidgetForm'+wid;
  var result = "";
  var inputs = jQuery(i+' input:text').add(i+' input:checked').add(i+' input:radio:selected').add(i+' select');
    for ( var i = 0 ; i < inputs.length ; i++ ){ //>
        var el = jQuery(inputs[i]);
        var id = el.attr('id');
        result += '&'+id+'='+encodeURIComponent( el.val() );
    }
  return result;
}


WolframAlphaWidget.popupSubmit = function(wid,wuid,input){
    var podSelect = '',
        popWidth  = 575,
        popHeight = 450,
        rowCount  = 1,
        title     = '',
        theme     = '';
    try {
      podSelect = WolframAlphaWidget[wuid]['podSelect'];
      popWidth  = WolframAlphaWidget[wuid]['width'];
      popHeight = WolframAlphaWidget[wuid]['popHeight'];
      rowCount  = WolframAlphaWidget[wuid]['rowCount'];
      title     = WolframAlphaWidget[wuid]['title'];
      theme     = WolframAlphaWidget[wuid]['theme'];
    }
    catch(e){}

    var url = "http://www.wolframalpha.com/widget/widgetPopup.jsp?p=v&id="+wuid+"&title="+encodeURIComponent(title)+"&theme="+theme+WolframAlphaWidget.serializeById(wid)+"&podSelect="+podSelect;

    var h = Math.min(popHeight,2000);
    var w = Math.min(popWidth, 2000);

    if (window.navigator.appName == "Microsoft Internet Explorer"){
        h += 10;
    }
    else if ( 'WebkitAppearance' in document.documentElement.style ){
        h += rowCount * 4;
    }

    var results = window.open (url,"results","menubar=no,toolbar=no,location=no,scrollbars=yes,resizable=yes,width="+w+",height="+h+"");
    results.focus();
    results.blur();
    results.focus();
}

function wolframAlphaWidget_Init52549(){

    jQuery("#wolframAlphaWidget52549 .submit").click(function(){ jQuery("#wolframAlphaWidgetForm52549").submit(); });

    jQuery("#wolframAlphaWidgetForm52549").submit(function(e){
      e.preventDefault();
      var input = WolframAlphaWidget.getInput( '52549' );
      var popUrl = "https://www.wolframalpha.com/input/?i="+encodeURIComponent(input);
      window.open(popUrl);
    });

  
    jQuery("#wolframAlphaWidget52549 .wawipl_4").click(function(e) {
      if (window.location.href.indexOf("http://www.wolframalpha.com/widgets/") != -1) {
        reportProblem();
        return false;
      }
    });

  
    var wolframWidgetIE = 5;
    var wolframWidgetQuirks = true;

    if (window.navigator.appName == "Microsoft Internet Explorer"){
      if (document.documentMode){
          wolframWidgetIE = document.documentMode;
      }
      else if (document.compatMode){
          wolframWidgetIE = ( document.compatMode == "CSS1Compat" ? 7 : 5 );
      }
    }
    else {
      wolframWidgetIE = false;
    }

    if ( document.compatMode ){
      wolframWidgetQuirks = document.compatMode != 'CSS1Compat';
    }

    //adjustments for quirks mode (most browsers need this)
    if ( wolframWidgetQuirks ){
      jQuery("table.WolframAlphaWidget").css('border-collapse','collapse');

      if ( jQuery.browser.mozilla ){
        jQuery("table.WolframAlphaWidget > tbody > tr:first-child + tr > td.l").css('border-left','2px inset #FFF');
      }
      else if ( !wolframWidgetIE ){
        jQuery("table.WolframAlphaWidget > tbody > tr:first-child + tr > td.r").css('border-right','2px inset #FFF');
      }
 
      if ( wolframWidgetIE ){ //fix popups
        jQuery("#wolframAlphaWidget52549 .wolframAlphaWidgetInfoPopup").css('width','207px');
        jQuery("#wolframAlphaWidget52549 .wolframAlphaWidgetSharePopup").css('width','220px').css('right','-45px');
        
      }

      //fix for :hover selectors
      jQuery("#wolframAlphaWidget52549 .wolframAlphaWidgetInfo").hover(
        function(){ jQuery("#wolframAlphaWidget52549 .wolframAlphaWidgetInfoPopup").show(); }, 
        function(){ jQuery("#wolframAlphaWidget52549 .wolframAlphaWidgetInfoPopup").hide(); }  
      );
      jQuery("#wolframAlphaWidget52549 .wolframAlphaWidgetShare").hover(
        function(){ jQuery("#wolframAlphaWidget52549 .wolframAlphaWidgetSharePopup").show(); }, 
        function(){ jQuery("#wolframAlphaWidget52549 .wolframAlphaWidgetSharePopup").hide(); }  
      );
      
    }
    else {
      if ( wolframWidgetIE == 7 ){
        jQuery("table.WolframAlphaWidget").css('border-collapse','collapse');
        jQuery("#wolframAlphaWidgetBeta52549").css('top','-12px');
      }
    }

    

    //detect cramped container 
    var wolframWidgetWidth = jQuery("#wolframAlphaWidget52549").width();
    var wolframInnerWidth  = jQuery("#widget52549 table").eq(0).width() + 2;

    if ( wolframInnerWidth >= wolframWidgetWidth ){
      jQuery("#wolframAlphaWidget52549").width( wolframWidgetWidth + 32 );
    }

    

    WolframAlphaWidget['b197e443a8687853211f069f47bdb24d']['initialized'] = true;
    try{ wolframAlphaWidget_InitDone52549(); }catch(e){} }

WolframAlphaWidget['b197e443a8687853211f069f47bdb24d'].loadFunctionId = 0;

(function(){ 

    var coreCss52549 = document.createElement('style');
    coreCss52549.setAttribute('type','text/css');
    if ( coreCss52549.styleSheet ){ //IE
        coreCss52549.styleSheet.cssText = 'table\x23wolframAlphaWidget52549,\ndiv\x23wolframAlphaWidget52549\x7B\n  font-family\x3A verdana, sans-serif\x3B\n  font-size\x3A 10px\x3B\n  line-height\x3A 12px\x3B\n  word-wrap\x3A normal\x3B\n  white-space\x3A auto\x3B\n  color\x3A \x23000\x3B\n  margin\x3A 12px auto 0\x3B\n  padding\x3A 0\x3B\n  min-width\x3A 140px\x3B\n  background\x3A transparent\x3B\n  border\x3A 0 none\x3B\n -webkit-text-size-adjust\x3A none\x3B  \n  width\x3A auto\x3B                    \n\x7D\n\n\n\x23wolframAlphaWidgetOverlay52549,\n\x23wolframAlphaWidgetResults52549 \x7B\n  height\x3A 450px\x3B\n\x7D\n\n\n\x23wolframAlphaWidget52549 tr,\n\x23wolframAlphaWidget52549 tr th,\n\x23wolframAlphaWidget52549 tr td,\n\x23wolframAlphaWidget52549 form \x7B\n  position\x3A static\x3B\n  margin\x3A 0\x3B\n  padding\x3A 0\x3B\n  vertical-align\x3A middle\x3B\n\x7D\n\n\n\x23wolframAlphaWidget52549 tr th \x7B\n  color\x3A white\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 table.wolframAlphaWidgetContent td \x7B\n  padding-right\x3A 2px\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 table.wolframAlphaWidgetContent table.submit td \x7B\n  padding\x3A 0\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 table,\n\x23wolframAlphaWidget52549 form,\n\x23wolframAlphaWidget52549 fieldset,\n\x23wolframAlphaWidget52549 table.wolframAlphaWidgetContent table.submit \x7B\n  border\x3A 0 none\x3B\n  background\x3A transparent none\x3B\n\x7D\n\n\n\x2F\x2A footer popups \x2F links \x2A\x2F\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetInfo,\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetShare,\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetInfo a,\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetShare a \x7B\n  font-size\x3A 11px\x3B\n  line-height\x3A 17px\x3B\n  color\x3A \x23555\x3B \n  text-decoration\x3A none\x3B\n  outline\x3A none\x3B\n  font-family\x3A arial, sans-serif\x3B\n  font-weight\x3A bold\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetInfoPopup a\x3Ahover,\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetSharePopup a\x3Ahover \x7B\n  color\x3A \x23ed602f\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetInfoPopup a b,\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetSharePopup a b \x7B \n  font-weight\x3A normal\x3B\n  color\x3A \x23ed602f\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetSharePopup a \x7B\n  font-weight\x3A bold\x3B\n  color\x3A \x23fe6518\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetSharePopup a\x3Ahover \x7B\n  color\x3A \x23db0303\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetSharePopup .wawfp_share \x7B\n  border-bottom\x3A 1px solid \x23dadada\x3B\n  padding\x3A 7px 0 11px\x3B\n  margin-bottom\x3A 4px\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetSharePopup .wawfp_share a \x7B\n   font-weight\x3A normal\x3B\n   font-size\x3A 12px\x3B\n\x7D\n\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetInfoPopup .poweredby \x7B\n  font-family\x3A arial, sans-serif\x3B\n  font-size\x3A 10px\x3B\n  color\x3A \x23555\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetInfoPopup .poweredby a \x7B\n  display\x3A inline\x3B\n  font-size\x3A 10px\x3B\n  font-weight\x3A normal\x3B\n  color\x3A \x23fe6518\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetInfoPopup .poweredby a\x3Ahover \x7B\n  color\x3A \x23db0303\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .waWidgetFooter .wawf_rate a, \n\x23wolframAlphaWidget52549 .wawf_getstripe a \x7B\n  color\x3A \x23555\x3B\n  font-family\x3A arial,sans-serif\x3B\n  font-size\x3A 11px\x3B\n  font-weight\x3A bold\x3B\n  text-decoration\x3A none\x3B\n\x7D'; }
    else {
        var text = document.createTextNode('table\x23wolframAlphaWidget52549,\ndiv\x23wolframAlphaWidget52549\x7B\n  font-family\x3A verdana, sans-serif\x3B\n  font-size\x3A 10px\x3B\n  line-height\x3A 12px\x3B\n  word-wrap\x3A normal\x3B\n  white-space\x3A auto\x3B\n  color\x3A \x23000\x3B\n  margin\x3A 12px auto 0\x3B\n  padding\x3A 0\x3B\n  min-width\x3A 140px\x3B\n  background\x3A transparent\x3B\n  border\x3A 0 none\x3B\n -webkit-text-size-adjust\x3A none\x3B  \n  width\x3A auto\x3B                    \n\x7D\n\n\n\x23wolframAlphaWidgetOverlay52549,\n\x23wolframAlphaWidgetResults52549 \x7B\n  height\x3A 450px\x3B\n\x7D\n\n\n\x23wolframAlphaWidget52549 tr,\n\x23wolframAlphaWidget52549 tr th,\n\x23wolframAlphaWidget52549 tr td,\n\x23wolframAlphaWidget52549 form \x7B\n  position\x3A static\x3B\n  margin\x3A 0\x3B\n  padding\x3A 0\x3B\n  vertical-align\x3A middle\x3B\n\x7D\n\n\n\x23wolframAlphaWidget52549 tr th \x7B\n  color\x3A white\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 table.wolframAlphaWidgetContent td \x7B\n  padding-right\x3A 2px\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 table.wolframAlphaWidgetContent table.submit td \x7B\n  padding\x3A 0\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 table,\n\x23wolframAlphaWidget52549 form,\n\x23wolframAlphaWidget52549 fieldset,\n\x23wolframAlphaWidget52549 table.wolframAlphaWidgetContent table.submit \x7B\n  border\x3A 0 none\x3B\n  background\x3A transparent none\x3B\n\x7D\n\n\n\x2F\x2A footer popups \x2F links \x2A\x2F\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetInfo,\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetShare,\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetInfo a,\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetShare a \x7B\n  font-size\x3A 11px\x3B\n  line-height\x3A 17px\x3B\n  color\x3A \x23555\x3B \n  text-decoration\x3A none\x3B\n  outline\x3A none\x3B\n  font-family\x3A arial, sans-serif\x3B\n  font-weight\x3A bold\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetInfoPopup a\x3Ahover,\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetSharePopup a\x3Ahover \x7B\n  color\x3A \x23ed602f\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetInfoPopup a b,\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetSharePopup a b \x7B \n  font-weight\x3A normal\x3B\n  color\x3A \x23ed602f\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetSharePopup a \x7B\n  font-weight\x3A bold\x3B\n  color\x3A \x23fe6518\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetSharePopup a\x3Ahover \x7B\n  color\x3A \x23db0303\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetSharePopup .wawfp_share \x7B\n  border-bottom\x3A 1px solid \x23dadada\x3B\n  padding\x3A 7px 0 11px\x3B\n  margin-bottom\x3A 4px\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetSharePopup .wawfp_share a \x7B\n   font-weight\x3A normal\x3B\n   font-size\x3A 12px\x3B\n\x7D\n\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetInfoPopup .poweredby \x7B\n  font-family\x3A arial, sans-serif\x3B\n  font-size\x3A 10px\x3B\n  color\x3A \x23555\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetInfoPopup .poweredby a \x7B\n  display\x3A inline\x3B\n  font-size\x3A 10px\x3B\n  font-weight\x3A normal\x3B\n  color\x3A \x23fe6518\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .wolframAlphaWidgetInfoPopup .poweredby a\x3Ahover \x7B\n  color\x3A \x23db0303\x3B\n\x7D\n\n\x23wolframAlphaWidget52549 .waWidgetFooter .wawf_rate a, \n\x23wolframAlphaWidget52549 .wawf_getstripe a \x7B\n  color\x3A \x23555\x3B\n  font-family\x3A arial,sans-serif\x3B\n  font-size\x3A 11px\x3B\n  font-weight\x3A bold\x3B\n  text-decoration\x3A none\x3B\n\x7D');
        coreCss52549.appendChild(text);
    }
    document.getElementsByTagName("head")[0].appendChild( coreCss52549 );

    var baseCss = document.getElementById("WolframAlphaBaseStyles");
    if ( typeof(baseCss) === 'undefined' || baseCss === null ){
        baseCss = document.createElement('link');
        baseCss.id = 'WolframAlphaBaseStyles';
        baseCss.type = 'text/css';
        baseCss.rel  = 'stylesheet';
        baseCss.href = '//www.wolframalpha.com/css/widget/base.css';
        document.getElementsByTagName("head")[0].appendChild( baseCss );
    } 

    var greenCss = document.getElementById("WolframAlphaThemeStylesgreen");
    if ( typeof(greenCss) === 'undefined' || greenCss === null ){
        greenCss = document.createElement('link');
        greenCss.id = 'WolframAlphaThemeStylesgreen';
        greenCss.type = 'text/css';
        greenCss.rel  = 'stylesheet';
        greenCss.href = '//www.wolframalpha.com/css/widget/green.css';
        document.getElementsByTagName("head")[0].appendChild( greenCss );
    }

    
    if ( typeof(jQuery) === 'function' ){ 
        wolframAlphaWidget_Load52549();
    }
    else {
        if ( typeof(WolframAlphaWidget.loadJQuery) === 'undefined' || WolframAlphaWidget.loadJQuery !== true ){
            WolframAlphaWidget.loadJQuery = true;  
            var wawjs = document.createElement('script');
	
          // wawjs.src = '//ajax.googleapis.com/ajax/libs/jquery/1.5.1/jquery.min.js';
	   wawjs.src = '//ajax.googleapis.com/ajax/libs/jquery/1.5.1/jquery.min.js';
	   
            document.getElementsByTagName('body')[0].appendChild(wawjs);
        }
        
        WolframAlphaWidget['b197e443a8687853211f069f47bdb24d'].loadFunctionId = setInterval("wolframAlphaWidget_Load52549()",50);
    }

})();

function wolframAlphaWidget_Load52549(){
  if ( typeof(jQuery) === 'function' ){ 
    jQuery("#WolframAlphaScriptb197e443a8687853211f069f47bdb24d").after( jQuery('\x3Ctable class\x3D\"WolframAlphaWidget greenWidgetTheme\" id\x3D\"wolframAlphaWidget52549\" cellspacing\x3D\"0\" cellpadding\x3D\"0\"\x3E\x3Ctr\x3E\x3Cth class\x3D\"l\"\x3E\x3C\x2Fth\x3E\x3Cth\x3E\x26Epsilon\x3B\x26Mu\x3B\x26Beta\x3B\x26Alpha\x3B\x26Delta\x3B\x26Omicron\x3B \x26Mu\x3B\x26Epsilon\x3B\x26Tau\x3B\x26Alpha\x3B\x26Xi\x3B\x26Upsilon\x3B \x26Delta\x3B\x26Upsilon\x3B\x26Omicron\x3B \x26Sigma\x3B\x26Upsilon\x3B\x26Nu\x3B\x26Alpha\x3B\x26Rho\x3B\x26Tau\x3B\x26Eta\x3B\x26Sigma\x3B\x26Epsilon\x3B\x26Omega\x3B\x26Nu\x3B\x3C\x2Fth\x3E\x3Cth class\x3D\"r\"\x3E\x3Cdiv style\x3D\"position\x3A relative\x3B margin\x3A 0\x3B padding\x3A 0\x3B\"\x3E\x3Cdiv class\x3D\"wolframAlphaWidgetBeta\" id\x3D\"wolframAlphaWidgetBeta52549\"\x3E\x3C\x2Fdiv\x3E\x3C\x2Fdiv\x3E\x3C\x2Fth\x3E\x3C\x2Ftr\x3E\x3Ctr\x3E\x3Ctd class\x3D\"l\"\x3E\x3C\x2Ftd\x3E\x3Ctd class\x3D\"widgetContent\"\x3E\x3Cform action\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\x2Finput\x2F\" id\x3D\"wolframAlphaWidgetForm52549\"\x3E\x3Cfieldset\x3E\n             \x3Ctable class\x3D\"wolframAlphaWidgetContent\"\x3E \x3Ctr\x3E \x3Ctd\x3E\u039C\u03B5\u03B3\u03B1\u03BB\u03CD\u03C4\u03B5\u03C1\u03B7 \u03C3\u03C5\u03BD\u03AC\u03C1\u03C4\u03B7\u03C3\u03B7\x3A\x3C\x2Ftd\x3E \x3Ctd\x3E\x3Cinput type\x3D\"text\" maxlength\x3D\"200\" id\x3D\"i0\" name\x3D\"function1\" value\x3D\"4x\x2B20\" size\x3D\"12\"\x2F\x3E\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3E\u039C\u03B9\u03BA\u03C1\u03CC\u03C4\u03B5\u03C1\u03B7 \u03C3\u03C5\u03BD\u03AC\u03C1\u03C4\u03B7\u03C3\u03B7\x3A\x3C\x2Ftd\x3E \x3Ctd\x3E\x3Cinput type\x3D\"text\" maxlength\x3D\"200\" id\x3D\"i1\" name\x3D\"function2\" value\x3D\"e\x5E\x28-x\x29\" size\x3D\"12\"\x2F\x3E\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3E\u0391\u03C1\u03B9\u03C3\u03C4\u03B5\u03C1\u03CC \u03AC\u03BA\u03C1\u03BF\x3A\x3C\x2Ftd\x3E \x3Ctd\x3E\x3Cinput type\x3D\"text\" maxlength\x3D\"200\" id\x3D\"i2\" name\x3D\"start\" value\x3D\"1\" size\x3D\"12\"\x2F\x3E\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3E\u0394\u03B5\u03BE\u03B9\u03CC \u03AC\u03BA\u03C1\u03BF\x3A\x3C\x2Ftd\x3E \x3Ctd\x3E\x3Cinput type\x3D\"text\" maxlength\x3D\"200\" id\x3D\"i3\" name\x3D\"end\" value\x3D\"25\" size\x3D\"12\"\x2F\x3E\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3Ctr\x3E \x3Ctd\x3E\x3Ctable class\x3D\"submit\" cellpadding\x3D\"0\" cellspacing\x3D\"0\"\x3E\x3Ctr\x3E\x3Ctd class\x3D\"l\"\x3E\x3C\x2Ftd\x3E\x3Ctd class\x3D\"m\"\x3E\u03A5\u03C0\u03BF\u03BB\u03CC\u03B3\u03B9\u03C3\u03B5\x3C\x2Ftd\x3E\x3Ctd class\x3D\"r\"\x3E\x3C\x2Ftd\x3E\x3C\x2Ftr\x3E\x3C\x2Ftable\x3E\x3C\x2Ftd\x3E \x3C\x2Ftr\x3E \x3C\x2Ftable\x3E \x3Cinput type\x3D\"hidden\" name\x3D\"i\" id\x3D\"i\" value\x3D\"\" \x2F\x3E\x3Cinput type\x3D\"hidden\" name\x3D\"querytemplate\" id\x3D\"querytemplate\" value\x3D\"integral \x28\x28\x5B\x2F\x2Fmath\x3A\x24\x7Bfunction1\x7D\x2F\x2F\x5D\x29-\x28\x5B\x2F\x2Fmath\x3A\x24\x7Bfunction2\x7D\x2F\x2F\x5D\x29\x29 from \x5B\x2F\x2Fnumber\x3A\x24\x7Bstart\x7D\x2F\x2F\x5D to \x5B\x2F\x2Fnumber\x3A\x24\x7Bend\x7D\x2F\x2F\x5D\"\x2F\x3E\x3C\x2Ffieldset\x3E\x3C\x2Fform\x3E\x3Cdiv style\x3D\"width\x3A 92px\x3B height\x3A 1px\x3B margin\x3A 0 auto\x3B padding\x3A 0\x3B background\x3A transparent\x3B\"\x3E\x3C\x2Fdiv\x3E\x3C\x2Ftd\x3E\x3Ctd class\x3D\"r\"\x3E\x3C\x2Ftd\x3E\x3C\x2Ftr\x3E\x3Ctr class\x3D\"wawf_bot\"\x3E\x3Ctd class\x3D\"l\"\x3E\x3C\x2Ftd\x3E\x3Ctd class\x3D\"m\"\x3E\x3Cdiv class\x3D\"waWidgetFooter\"\x3E\x3Ca href\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\" class\x3D\"logo\" target\x3D\"_blank\"\x3E\x3C\x2Fa\x3E\x3Cdiv class\x3D\"wolframAlphaWidgetInfo\"\x3E\x3Cdiv class\x3D\"wolframAlphaWidgetInfoPopup\"\x3E\x3Cdiv class\x3D\"wawfp_top\"\x3E\x3C\x2Fdiv\x3E\x3Ca class\x3D\"wawipl_1\" href\x3D\"http\x3A\x2F\x2Fdeveloper.wolframalpha.com\x2Fwidgetbuilder\x2F\" target\x3D\"_blank\"\x3EBuild your own widget\x26nbsp\x3B\x3Cb\x3E\x26raquo\x3B\x3C\x2Fb\x3E\x3C\x2Fa\x3E\x3Ca class\x3D\"wawipl_2\" href\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\x2Fwidgets\x2Fgallery\x2F\" target\x3D\"_blank\"\x3EBrowse widget gallery\x26nbsp\x3B\x3Cb\x3E\x26raquo\x3B\x3C\x2Fb\x3E\x3C\x2Fa\x3E\x3Ca class\x3D\"wawipl_3\" href\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\x2Fwidgets\x2F\" target\x3D\"_blank\"\x3ELearn more\x26nbsp\x3B\x3Cb\x3E\x26raquo\x3B\x3C\x2Fb\x3E\x3C\x2Fa\x3E\x3Ca class\x3D\"wawipl_4\" href\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\x2Fwidgets\x2Fgallery\x2Fview.jsp\x3Fid\x3Db197e443a8687853211f069f47bdb24d\x26reportprob\x3D1\" target\x3D\"_blank\"\x3EReport a problem\x26nbsp\x3B\x3Cb\x3E\x26raquo\x3B\x3C\x2Fb\x3E\x3C\x2Fa\x3E\x3Cspan class\x3D\"poweredby\"\x3EPowered by \x3Ca href\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\" target\x3D\"_blank\"\x3EWolfram\x7CAlpha\x3C\x2Fa\x3E\x3Cbr\x2F\x3E\x3Ca href\x3D\"http\x3A\x2F\x2Fdeveloper.wolframalpha.com\x2Fwidgetterms.html\" target\x3D\"_blank\"\x3ETerms of use\x3C\x2Fa\x3E\x3C\x2Fspan\x3E\x3Cdiv class\x3D\"wawfp_bot\"\x3E\x3C\x2Fdiv\x3E\x3C\x2Fdiv\x3E\x3C\x2Fdiv\x3E\x3Cdiv class\x3D\"wolframAlphaWidgetShare\"\x3E\x3Cdiv class\x3D\"wolframAlphaWidgetSharePopup\"\x3E\x3Cdiv class\x3D\"wawfp_top\"\x3E\x3C\x2Fdiv\x3E\x3Cp\x3EShare a link to this widget\x3A\x3C\x2Fp\x3E\x3Cdiv class\x3D\"wawfp_share\"\x3E\x3Ca class\x3D\"wawfp_fb\" href\x3D\"http\x3A\x2F\x2Fwww.facebook.com\x2Fshare.php\x3Fu\x3Dhttp\x253a\x252f\x252fwww.wolframalpha.com\x252fwidgets\x252fgallery\x252fview.jsp\x253fid\x253db197e443a8687853211f069f47bdb24d\" target\x3D\"_blank\"\x3E\x3C\x2Fa\x3E\x3Ca class\x3D\"wawfp_tw\" href\x3D\"http\x3A\x2F\x2Ftwitter.com\x2Fhome\x3Fstatus\x3Dhttp\x253a\x252f\x252fwww.wolframalpha.com\x252fwidgets\x252fgallery\x252fview.jsp\x253fid\x253db197e443a8687853211f069f47bdb24d\" target\x3D\"_blank\"\x3E\x3C\x2Fa\x3E\x3Ca class\x3D\"wawfp_dl\" href\x3D\"http\x3A\x2F\x2Fdel.icio.us\x2Fpost\x3Furl\x3Dhttp\x253a\x252f\x252fwww.wolframalpha.com\x252fwidgets\x252fgallery\x252fview.jsp\x253fid\x253db197e443a8687853211f069f47bdb24d\x26title\x3D\" target\x3D\"_blank\"\x3E\x3C\x2Fa\x3E\x3Ca class\x3D\"wawfp_dg\" href\x3D\"http\x3A\x2F\x2Fdigg.com\x2Fsubmit\x3Furl\x3Dhttp\x253a\x252f\x252fwww.wolframalpha.com\x252fwidgets\x252fgallery\x252fview.jsp\x253fid\x253db197e443a8687853211f069f47bdb24d\x26phase\x3D2\" target\x3D\"_blank\"\x3E\x3C\x2Fa\x3E\x3Ca class\x3D\"wawfp_more\" href\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\x2Fwidgets\x2Fgallery\x2Fview.jsp\x3Fid\x3Db197e443a8687853211f069f47bdb24d\" target\x3D\"_blank\"\x3EMore\x3C\x2Fa\x3E\x3Cbr style\x3D\"clear\x3A both\x3B\" \x2F\x3E\x3C\x2Fdiv\x3E\x3Ca href\x3D\"http\x3A\x2F\x2Fwww.wolframalpha.com\x2Fwidgets\x2Fgallery\x2Fview.jsp\x3Fid\x3Db197e443a8687853211f069f47bdb24d\" target\x3D\"_blank\"\x3EEmbed this widget\x26nbsp\x3B\x26raquo\x3B\x3C\x2Fa\x3E\x3Cdiv class\x3D\"wawfp_bot\"\x3E\x3C\x2Fdiv\x3E\x3C\x2Fdiv\x3E\x3C\x2Fdiv\x3E\n\x3C\x2Fdiv\x3E\x3C\x2Ftd\x3E\x3Ctd class\x3D\"r\"\x3E\x3C\x2Ftd\x3E\x3C\x2Ftr\x3E\x3C\x2Ftable\x3E') );

    clearInterval( WolframAlphaWidget['b197e443a8687853211f069f47bdb24d'].loadFunctionId );

    if ( 'WebkitAppearance' in document.documentElement.style ){ //get around webkit document.ready bug
        var _timer = setInterval(function() {
            if (/loaded|complete/.test(document.readyState)) {
              clearInterval(_timer);
              try{ wolframAlphaWidget_Init52549(); }catch(e){}
            }
        }, 10);
    }
  
    else {
      jQuery(document).ready( function(){ try{wolframAlphaWidget_Init52549();}catch(e){} });
    }
  }
}