!function(t,e,i,s){function n(e,i){this.settings=null,this.options=t.extend({},n.Defaults,i),this.$element=t(e),this._handlers={},this._plugins={},this._supress={},this._current=null,this._speed=null,this._coordinates=[],this._breakpoint=null,this._width=null,this._items=[],this._clones=[],this._mergers=[],this._widths=[],this._invalidated={},this._pipe=[],this._drag={time:null,target:null,pointer:null,stage:{start:null,current:null},direction:null},this._states={current:{},tags:{initializing:["busy"],animating:["busy"],dragging:["interacting"]}},t.each(["onResize","onThrottledResize"],t.proxy(function(e,i){this._handlers[i]=t.proxy(this[i],this)},this)),t.each(n.Plugins,t.proxy(function(t,e){this._plugins[t[0].toLowerCase()+t.slice(1)]=new e(this)},this)),t.each(n.Workers,t.proxy(function(e,i){this._pipe.push({filter:i.filter,run:t.proxy(i.run,this)})},this)),this.setup(),this.initialize()}n.Defaults={items:3,loop:!1,center:!1,rewind:!1,mouseDrag:!0,touchDrag:!0,pullDrag:!0,freeDrag:!1,margin:0,stagePadding:0,merge:!1,mergeFit:!0,autoWidth:!1,startPosition:0,rtl:!1,smartSpeed:250,fluidSpeed:!1,dragEndSpeed:!1,responsive:{},responsiveRefreshRate:200,responsiveBaseElement:e,fallbackEasing:"swing",info:!1,nestedItemSelector:!1,itemElement:"div",stageElement:"div",refreshClass:"owl-refresh",loadedClass:"owl-loaded",loadingClass:"owl-loading",rtlClass:"owl-rtl",responsiveClass:"owl-responsive",dragClass:"owl-drag",itemClass:"owl-item",stageClass:"owl-stage",stageOuterClass:"owl-stage-outer",grabClass:"owl-grab"},n.Width={Default:"default",Inner:"inner",Outer:"outer"},n.Type={Event:"event",State:"state"},n.Plugins={},n.Workers=[{filter:["width","settings"],run:function(){this._width=this.$element.width()}},{filter:["width","items","settings"],run:function(t){t.current=this._items&&this._items[this.relative(this._current)]}},{filter:["items","settings"],run:function(){this.$stage.children(".cloned").remove()}},{filter:["width","items","settings"],run:function(t){var e=this.settings.margin||"",i=!this.settings.autoWidth,s=this.settings.rtl,n={width:"auto","margin-left":s?e:"","margin-right":s?"":e};!i&&this.$stage.children().css(n),t.css=n}},{filter:["width","items","settings"],run:function(t){var e=(this.width()/this.settings.items).toFixed(3)-this.settings.margin,i=null,s=this._items.length,n=!this.settings.autoWidth,o=[];for(t.items={merge:!1,width:e};s--;)i=this._mergers[s],i=this.settings.mergeFit&&Math.min(i,this.settings.items)||i,t.items.merge=i>1||t.items.merge,o[s]=n?e*i:this._items[s].width();this._widths=o}},{filter:["items","settings"],run:function(){var e=[],i=this._items,s=this.settings,n=Math.max(2*s.items,4),o=2*Math.ceil(i.length/2),r=s.loop&&i.length?s.rewind?n:Math.max(n,o):0,a="",h="";for(r/=2;r--;)e.push(this.normalize(e.length/2,!0)),a+=i[e[e.length-1]][0].outerHTML,e.push(this.normalize(i.length-1-(e.length-1)/2,!0)),h=i[e[e.length-1]][0].outerHTML+h;this._clones=e,t(a).addClass("cloned").appendTo(this.$stage),t(h).addClass("cloned").prependTo(this.$stage)}},{filter:["width","items","settings"],run:function(){for(var t=this.settings.rtl?1:-1,e=this._clones.length+this._items.length,i=-1,s=0,n=0,o=[];++ii;i++)t=this._coordinates[i-1]||0,e=Math.abs(this._coordinates[i])+o*n,(this.op(t,"<=",r)&&this.op(t,">",a)||this.op(e,"<",r)&&this.op(e,">",a))&&h.push(i);this.$stage.children(".active").removeClass("active"),this.$stage.children(":eq("+h.join("), :eq(")+")").addClass("active"),this.settings.center&&(this.$stage.children(".center").removeClass("center"),this.$stage.children().eq(this.current()).addClass("center"))}}],n.prototype.initialize=function(){if(this.enter("initializing"),this.trigger("initialize"),this.$element.toggleClass(this.settings.rtlClass,this.settings.rtl),this.settings.autoWidth&&!this.is("pre-loading")){var e,i,n;e=this.$element.find("img"),i=this.settings.nestedItemSelector?"."+this.settings.nestedItemSelector:s,n=this.$element.children(i).width(),e.length&&0>=n&&this.preloadAutoWidthImages(e)}this.$element.addClass(this.options.loadingClass),this.$stage=t("<"+this.settings.stageElement+' class="'+this.settings.stageClass+'"/>').wrap('
'),this.$element.append(this.$stage.parent()),this.replace(this.$element.children().not(this.$stage.parent())),this.$element.is(":visible")?this.refresh():this.invalidate("width"),this.$element.removeClass(this.options.loadingClass).addClass(this.options.loadedClass),this.registerEventHandlers(),this.leave("initializing"),this.trigger("initialized")},n.prototype.setup=function(){var e=this.viewport(),i=this.options.responsive,s=-1,n=null;i?(t.each(i,function(t){e>=t&&t>s&&(s=Number(t))}),n=t.extend({},this.options,i[s]),delete n.responsive,n.responsiveClass&&this.$element.attr("class",this.$element.attr("class").replace(new RegExp("("+this.options.responsiveClass+"-)\\S+\\s","g"),"$1"+s))):n=t.extend({},this.options),(null===this.settings||this._breakpoint!==s)&&(this.trigger("change",{property:{name:"settings",value:n}}),this._breakpoint=s,this.settings=n,this.invalidate("settings"),this.trigger("changed",{property:{name:"settings",value:this.settings}}))},n.prototype.optionsLogic=function(){this.settings.autoWidth&&(this.settings.stagePadding=!1,this.settings.merge=!1)},n.prototype.prepare=function(e){var i=this.trigger("prepare",{content:e});return i.data||(i.data=t("<"+this.settings.itemElement+"/>").addClass(this.options.itemClass).append(e)),this.trigger("prepared",{content:i.data}),i.data},n.prototype.update=function(){for(var e=0,i=this._pipe.length,s=t.proxy(function(t){return this[t]},this._invalidated),n={};i>e;)(this._invalidated.all||t.grep(this._pipe[e].filter,s).length>0)&&this._pipe[e].run(n),e++;this._invalidated={},!this.is("valid")&&this.enter("valid")},n.prototype.width=function(t){switch(t=t||n.Width.Default){case n.Width.Inner:case n.Width.Outer:return this._width;default:return this._width-2*this.settings.stagePadding+this.settings.margin}},n.prototype.refresh=function(){this.enter("refreshing"),this.trigger("refresh"),this.setup(),this.optionsLogic(),this.$element.addClass(this.options.refreshClass),this.update(),this.$element.removeClass(this.options.refreshClass),this.leave("refreshing"),this.trigger("refreshed")},n.prototype.onThrottledResize=function(){e.clearTimeout(this.resizeTimer),this.resizeTimer=e.setTimeout(this._handlers.onResize,this.settings.responsiveRefreshRate)},n.prototype.onResize=function(){return this._items.length?this._width===this.$element.width()?!1:this.$element.is(":visible")?(this.enter("resizing"),this.trigger("resize").isDefaultPrevented()?(this.leave("resizing"),!1):(this.invalidate("width"),this.refresh(),this.leave("resizing"),void this.trigger("resized"))):!1:!1},n.prototype.registerEventHandlers=function(){t.support.transition&&this.$stage.on(t.support.transition.end+".owl.core",t.proxy(this.onTransitionEnd,this)),this.settings.responsive!==!1&&this.on(e,"resize",this._handlers.onThrottledResize),this.settings.mouseDrag&&(this.$element.addClass(this.options.dragClass),this.$stage.on("mousedown.owl.core",t.proxy(this.onDragStart,this)),this.$stage.on("dragstart.owl.core selectstart.owl.core",function(){return!1})),this.settings.touchDrag&&(this.$stage.on("touchstart.owl.core",t.proxy(this.onDragStart,this)),this.$stage.on("touchcancel.owl.core",t.proxy(this.onDragEnd,this)))},n.prototype.onDragStart=function(e){var s=null;3!==e.which&&(t.support.transform?(s=this.$stage.css("transform").replace(/.*\(|\)| /g,"").split(","),s={x:s[16===s.length?12:4],y:s[16===s.length?13:5]}):(s=this.$stage.position(),s={x:this.settings.rtl?s.left+this.$stage.width()-this.width()+this.settings.margin:s.left,y:s.top}),this.is("animating")&&(t.support.transform?this.animate(s.x):this.$stage.stop(),this.invalidate("position")),this.$element.toggleClass(this.options.grabClass,"mousedown"===e.type),this.speed(0),this._drag.time=(new Date).getTime(),this._drag.target=t(e.target),this._drag.stage.start=s,this._drag.stage.current=s,this._drag.pointer=this.pointer(e),t(i).on("mouseup.owl.core touchend.owl.core",t.proxy(this.onDragEnd,this)),t(i).one("mousemove.owl.core touchmove.owl.core",t.proxy(function(e){var s=this.difference(this._drag.pointer,this.pointer(e));t(i).on("mousemove.owl.core touchmove.owl.core",t.proxy(this.onDragMove,this)),Math.abs(s.x)0^this.settings.rtl?"left":"right";t(i).off(".owl.core"),this.$element.removeClass(this.options.grabClass),(0!==s.x&&this.is("dragging")||!this.is("valid"))&&(this.speed(this.settings.dragEndSpeed||this.settings.smartSpeed),this.current(this.closest(n.x,0!==s.x?o:this._drag.direction)),this.invalidate("position"),this.update(),this._drag.direction=o,(Math.abs(s.x)>3||(new Date).getTime()-this._drag.time>300)&&this._drag.target.one("click.owl.core",function(){return!1})),this.is("dragging")&&(this.leave("dragging"),this.trigger("dragged"))},n.prototype.closest=function(e,i){var s=-1,n=30,o=this.width(),r=this.coordinates();return this.settings.freeDrag||t.each(r,t.proxy(function(t,a){return e>a-n&&a+n>e?s=t:this.op(e,"<",a)&&this.op(e,">",r[t+1]||a-o)&&(s="left"===i?t+1:t),-1===s},this)),this.settings.loop||(this.op(e,">",r[this.minimum()])?s=e=this.minimum():this.op(e,"<",r[this.maximum()])&&(s=e=this.maximum())),s},n.prototype.animate=function(e){var i=this.speed()>0;this.is("animating")&&this.onTransitionEnd(),i&&(this.enter("animating"),this.trigger("translate")),t.support.transform3d&&t.support.transition?this.$stage.css({transform:"translate3d("+e+"px,0px,0px)",transition:this.speed()/1e3+"s"}):i?this.$stage.animate({left:e+"px"},this.speed(),this.settings.fallbackEasing,t.proxy(this.onTransitionEnd,this)):this.$stage.css({left:e+"px"})},n.prototype.is=function(t){return this._states.current[t]&&this._states.current[t]>0},n.prototype.current=function(t){if(t===s)return this._current;if(0===this._items.length)return s;if(t=this.normalize(t),this._current!==t){var e=this.trigger("change",{property:{name:"position",value:t}});e.data!==s&&(t=this.normalize(e.data)),this._current=t,this.invalidate("position"),this.trigger("changed",{property:{name:"position",value:this._current}})}return this._current},n.prototype.invalidate=function(e){return"string"===t.type(e)&&(this._invalidated[e]=!0,this.is("valid")&&this.leave("valid")),t.map(this._invalidated,function(t,e){return e})},n.prototype.reset=function(t){t=this.normalize(t),t!==s&&(this._speed=0,this._current=t,this.suppress(["translate","translated"]),this.animate(this.coordinates(t)),this.release(["translate","translated"]))},n.prototype.normalize=function(e,i){var n=this._items.length,o=i?0:this._clones.length;return!t.isNumeric(e)||1>n?e=s:(0>e||e>=n+o)&&(e=((e-o/2)%n+n)%n+o/2),e},n.prototype.relative=function(t){return t-=this._clones.length/2,this.normalize(t,!0)},n.prototype.maximum=function(t){var e,i=this.settings,s=this._coordinates.length,n=Math.abs(this._coordinates[s-1])-this._width,o=-1;if(i.loop)s=this._clones.length/2+this._items.length-1;else if(i.autoWidth||i.merge)for(;s-o>1;)Math.abs(this._coordinates[e=s+o>>1])0)-(0>n),r=this._items.length,a=this.minimum(),h=this.maximum();this.settings.loop?(!this.settings.rewind&&Math.abs(n)>r/2&&(n+=-1*o*r),t=i+n,s=((t-a)%r+r)%r+a,s!==t&&h>=s-n&&s-n>0&&(i=s-n,t=s,this.reset(i))):this.settings.rewind?(h+=1,t=(t%h+h)%h):t=Math.max(a,Math.min(h,t)),this.speed(this.duration(i,t,e)),this.current(t),this.$element.is(":visible")&&this.update()},n.prototype.next=function(t){t=t||!1,this.to(this.relative(this.current())+1,t)},n.prototype.prev=function(t){t=t||!1,this.to(this.relative(this.current())-1,t)},n.prototype.onTransitionEnd=function(t){return t!==s&&(t.stopPropagation(),(t.target||t.srcElement||t.originalTarget)!==this.$stage.get(0))?!1:(this.leave("animating"),void this.trigger("translated"))},n.prototype.viewport=function(){var s;if(this.options.responsiveBaseElement!==e)s=t(this.options.responsiveBaseElement).width();else if(e.innerWidth)s=e.innerWidth;else{if(!i.documentElement||!i.documentElement.clientWidth)throw"Can not detect viewport width.";s=i.documentElement.clientWidth}return s},n.prototype.replace=function(e){this.$stage.empty(),this._items=[],e&&(e=e instanceof jQuery?e:t(e)),this.settings.nestedItemSelector&&(e=e.find("."+this.settings.nestedItemSelector)),e.filter(function(){return 1===this.nodeType}).each(t.proxy(function(t,e){e=this.prepare(e),this.$stage.append(e),this._items.push(e),this._mergers.push(1*e.find("[data-merge]").andSelf("[data-merge]").attr("data-merge")||1)},this)),this.reset(t.isNumeric(this.settings.startPosition)?this.settings.startPosition:0),this.invalidate("items")},n.prototype.add=function(e,i){var n=this.relative(this._current);i=i===s?this._items.length:this.normalize(i,!0),e=e instanceof jQuery?e:t(e),this.trigger("add",{content:e,position:i}),e=this.prepare(e),0===this._items.length||i===this._items.length?(0===this._items.length&&this.$stage.append(e),0!==this._items.length&&this._items[i-1].after(e),this._items.push(e),this._mergers.push(1*e.find("[data-merge]").andSelf("[data-merge]").attr("data-merge")||1)):(this._items[i].before(e),this._items.splice(i,0,e),this._mergers.splice(i,0,1*e.find("[data-merge]").andSelf("[data-merge]").attr("data-merge")||1)),this._items[n]&&this.reset(this._items[n].index()),this.invalidate("items"),this.trigger("added",{content:e,position:i})},n.prototype.remove=function(t){t=this.normalize(t,!0),t!==s&&(this.trigger("remove",{content:this._items[t],position:t}),this._items[t].remove(),this._items.splice(t,1),this._mergers.splice(t,1),this.invalidate("items"),this.trigger("removed",{content:null,position:t}))},n.prototype.preloadAutoWidthImages=function(e){e.each(t.proxy(function(e,i){this.enter("pre-loading"),i=t(i),t(new Image).one("load",t.proxy(function(t){i.attr("src",t.target.src),i.css("opacity",1),this.leave("pre-loading"),!this.is("pre-loading")&&!this.is("initializing")&&this.refresh()},this)).attr("src",i.attr("src")||i.attr("data-src")||i.attr("data-src-retina"))},this))},n.prototype.destroy=function(){this.$element.off(".owl.core"),this.$stage.off(".owl.core"),t(i).off(".owl.core"),this.settings.responsive!==!1&&(e.clearTimeout(this.resizeTimer),this.off(e,"resize",this._handlers.onThrottledResize));for(var s in this._plugins)this._plugins[s].destroy();this.$stage.children(".cloned").remove(),this.$stage.unwrap(),this.$stage.children().contents().unwrap(),this.$stage.children().unwrap(),this.$element.removeClass(this.options.refreshClass).removeClass(this.options.loadingClass).removeClass(this.options.loadedClass).removeClass(this.options.rtlClass).removeClass(this.options.dragClass).removeClass(this.options.grabClass).attr("class",this.$element.attr("class").replace(new RegExp(this.options.responsiveClass+"-\\S+\\s","g"),"")).removeData("owl.vccarousel")},n.prototype.op=function(t,e,i){var s=this.settings.rtl;switch(e){case"<":return s?t>i:i>t;case">":return s?i>t:t>i;case">=":return s?i>=t:t>=i;case"<=":return s?t>=i:i>=t}},n.prototype.on=function(t,e,i,s){t.addEventListener?t.addEventListener(e,i,s):t.attachEvent&&t.attachEvent("on"+e,i)},n.prototype.off=function(t,e,i,s){t.removeEventListener?t.removeEventListener(e,i,s):t.detachEvent&&t.detachEvent("on"+e,i)},n.prototype.trigger=function(e,i,s,o,r){var a={item:{count:this._items.length,index:this.current()}},h=t.camelCase(t.grep(["on",e,s],function(t){return t}).join("-").toLowerCase()),l=t.Event([e,"owl",s||"vccarousel"].join(".").toLowerCase(),t.extend({relatedTarget:this},a,i));return this._supress[e]||(t.each(this._plugins,function(t,e){e.onTrigger&&e.onTrigger(l)}),this.register({type:n.Type.Event,name:e}),this.$element.trigger(l),this.settings&&"function"==typeof this.settings[h]&&this.settings[h].call(this,l)),l},n.prototype.enter=function(e){t.each([e].concat(this._states.tags[e]||[]),t.proxy(function(t,e){this._states.current[e]===s&&(this._states.current[e]=0),this._states.current[e]++},this))},n.prototype.leave=function(e){t.each([e].concat(this._states.tags[e]||[]),t.proxy(function(t,e){this._states.current[e]--},this))},n.prototype.register=function(e){if(e.type===n.Type.Event){if(t.event.special[e.name]||(t.event.special[e.name]={}),!t.event.special[e.name].owl){var i=t.event.special[e.name]._default;t.event.special[e.name]._default=function(t){return!i||!i.apply||t.namespace&&-1!==t.namespace.indexOf("owl")?t.namespace&&t.namespace.indexOf("owl")>-1:i.apply(this,arguments)},t.event.special[e.name].owl=!0}}else e.type===n.Type.State&&(this._states.tags[e.name]?this._states.tags[e.name]=this._states.tags[e.name].concat(e.tags):this._states.tags[e.name]=e.tags,this._states.tags[e.name]=t.grep(this._states.tags[e.name],t.proxy(function(i,s){return t.inArray(i,this._states.tags[e.name])===s},this)))},n.prototype.suppress=function(e){t.each(e,t.proxy(function(t,e){this._supress[e]=!0},this))},n.prototype.release=function(e){t.each(e,t.proxy(function(t,e){delete this._supress[e]},this))},n.prototype.pointer=function(t){var i={x:null,y:null};return t=t.originalEvent||t||e.event,t=t.touches&&t.touches.length?t.touches[0]:t.changedTouches&&t.changedTouches.length?t.changedTouches[0]:t,t.pageX?(i.x=t.pageX,i.y=t.pageY):(i.x=t.clientX,i.y=t.clientY),i},n.prototype.difference=function(t,e){return{x:t.x-e.x,y:t.y-e.y}},t.fn.vcOwlCarousel=function(e){var i=Array.prototype.slice.call(arguments,1);return this.each(function(){var s=t(this),o=s.data("owl.vccarousel");o||(o=new n(this,"object"==typeof e&&e),s.data("owl.vccarousel",o),t.each(["next","prev","to","destroy","refresh","replace","add","remove"],function(e,i){o.register({type:n.Type.Event,name:i}),o.$element.on(i+".owl.vccarousel.core",t.proxy(function(t){t.namespace&&t.relatedTarget!==this&&(this.suppress([i]),o[i].apply(this,[].slice.call(arguments,1)),this.release([i]))},o))})),"string"==typeof e&&"_"!==e.charAt(0)&&o[e].apply(o,i)})},t.fn.vcOwlCarousel.Constructor=n}(window.Zepto||window.jQuery,window,document),function(t,e,i,s){var n=function(e){this._core=e,this._interval=null,this._visible=null,this._handlers={"initialized.owl.vccarousel":t.proxy(function(t){t.namespace&&this._core.settings.autoRefresh&&this.watch()},this)},this._core.options=t.extend({},n.Defaults,this._core.options),this._core.$element.on(this._handlers)};n.Defaults={autoRefresh:!0,autoRefreshInterval:500},n.prototype.watch=function(){this._interval||(this._visible=this._core.$element.is(":visible"),this._interval=e.setInterval(t.proxy(this.refresh,this),this._core.settings.autoRefreshInterval))},n.prototype.refresh=function(){this._core.$element.is(":visible")!==this._visible&&(this._visible=!this._visible,this._core.$element.toggleClass("owl-hidden",!this._visible),this._visible&&this._core.invalidate("width")&&this._core.refresh())},n.prototype.destroy=function(){var t,i;e.clearInterval(this._interval);for(t in this._handlers)this._core.$element.off(t,this._handlers[t]);for(i in Object.getOwnPropertyNames(this))"function"!=typeof this[i]&&(this[i]=null)},t.fn.vcOwlCarousel.Constructor.Plugins.AutoRefresh=n}(window.Zepto||window.jQuery,window,document),function(t,e,i,s){var n=function(e){this._core=e,this._loaded=[],this._handlers={"initialized.owl.vccarousel change.owl.vccarousel":t.proxy(function(e){if(e.namespace&&this._core.settings&&this._core.settings.lazyLoad&&(e.property&&"position"==e.property.name||"initialized"==e.type))for(var i=this._core.settings,s=i.center&&Math.ceil(i.items/2)||i.items,n=i.center&&-1*s||0,o=(e.property&&e.property.value||this._core.current())+n,r=this._core.clones().length,a=t.proxy(function(t,e){this.load(e)},this);n++-1||(n.each(t.proxy(function(i,s){var n,o=t(s),r=e.devicePixelRatio>1&&o.attr("data-src-retina")||o.attr("data-src");this._core.trigger("load",{element:o,url:r},"lazy"),o.is("img")?o.one("load.owl.lazy",t.proxy(function(){o.css("opacity",1),this._core.trigger("loaded",{element:o,url:r},"lazy")},this)).attr("src",r):(n=new Image,n.onload=t.proxy(function(){o.css({"background-image":"url("+r+")",opacity:"1"}),this._core.trigger("loaded",{element:o,url:r},"lazy")},this),n.src=r)},this)),this._loaded.push(s.get(0)))},n.prototype.destroy=function(){var t,e;for(t in this.handlers)this._core.$element.off(t,this.handlers[t]);for(e in Object.getOwnPropertyNames(this))"function"!=typeof this[e]&&(this[e]=null)},t.fn.vcOwlCarousel.Constructor.Plugins.Lazy=n}(window.Zepto||window.jQuery,window,document),function(t,e,i,s){var n=function(e){this._core=e,this._handlers={"initialized.owl.vccarousel refreshed.owl.vccarousel":t.proxy(function(t){t.namespace&&this._core.settings.autoHeight&&this.update()},this),"changed.owl.vccarousel":t.proxy(function(t){t.namespace&&this._core.settings.autoHeight&&"position"==t.property.name&&this.update()},this),"loaded.owl.lazy":t.proxy(function(t){t.namespace&&this._core.settings.autoHeight&&t.element.closest("."+this._core.settings.itemClass).index()===this._core.current()&&this.update()},this)},this._core.options=t.extend({},n.Defaults,this._core.options),this._core.$element.on(this._handlers)};n.Defaults={autoHeight:!1,autoHeightClass:"owl-height"},n.prototype.update=function(){this._core.$stage.parent().height(this._core.$stage.children().eq(this._core.current()).height()).addClass(this._core.settings.autoHeightClass)},n.prototype.destroy=function(){var t,e;for(t in this._handlers)this._core.$element.off(t,this._handlers[t]);for(e in Object.getOwnPropertyNames(this))"function"!=typeof this[e]&&(this[e]=null)},t.fn.vcOwlCarousel.Constructor.Plugins.AutoHeight=n}(window.Zepto||window.jQuery,window,document),function(t,e,i,s){var n=function(e){this._core=e,this._videos={},this._playing=null,this._handlers={"initialized.owl.vccarousel":t.proxy(function(t){t.namespace&&this._core.register({type:"state",name:"playing",tags:["interacting"]})},this),"resize.owl.vccarousel":t.proxy(function(t){t.namespace&&this._core.settings.video&&this.isInFullScreen()&&t.preventDefault()},this),"refreshed.owl.vccarousel":t.proxy(function(t){t.namespace&&this._core.is("resizing")&&this._core.$stage.find(".cloned .owl-video-frame").remove()},this),"changed.owl.vccarousel":t.proxy(function(t){t.namespace&&"position"===t.property.name&&this._playing&&this.stop()},this),"prepared.owl.vccarousel":t.proxy(function(e){if(e.namespace){var i=t(e.content).find(".owl-video");i.length&&(i.css("display","none"),this.fetch(i,t(e.content)))}},this)},this._core.options=t.extend({},n.Defaults,this._core.options),this._core.$element.on(this._handlers),this._core.$element.on("click.owl.video",".owl-video-play-icon",t.proxy(function(t){this.play(t)},this))};n.Defaults={video:!1,videoHeight:!1,videoWidth:!1},n.prototype.fetch=function(t,e){var i=t.attr("data-vimeo-id")?"vimeo":"youtube",s=t.attr("data-vimeo-id")||t.attr("data-youtube-id"),n=t.attr("data-width")||this._core.settings.videoWidth,o=t.attr("data-height")||this._core.settings.videoHeight,r=t.attr("href");if(!r)throw new Error("Missing video URL.");if(s=r.match(/(http:|https:|)\/\/(player.|www.)?(vimeo\.com|youtu(be\.com|\.be|be\.googleapis\.com))\/(video\/|embed\/|watch\?v=|v\/)?([A-Za-z0-9._%-]*)(\&\S+)?/),s[3].indexOf("youtu")>-1)i="youtube";else{if(!(s[3].indexOf("vimeo")>-1))throw new Error("Video URL not 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t,e,i,s=this._core.clones().length/2,n=s+this._core.items().length,o=this._core.maximum(!0),r=this._core.settings,a=r.center||r.autoWidth||r.dotsData?1:r.dotsEach||r.items;if("page"!==r.slideBy&&(r.slideBy=Math.min(r.slideBy,r.items)),r.dots||"page"==r.slideBy)for(this._pages=[],t=s,e=0,i=0;n>t;t++){if(e>=a||0===e){if(this._pages.push({start:Math.min(o,t-s),end:t-s+a-1}),Math.min(o,t-s)===o)break;e=0,++i}e+=this._core.mergers(this._core.relative(t))}},n.prototype.draw=function(){var e,i=this._core.settings,s=this._core.items().length<=i.items,n=this._core.relative(this._core.current()),o=i.loop||i.rewind;this._controls.$relative.toggleClass("disabled",!i.nav||s),i.nav&&(this._controls.$previous.toggleClass("disabled",!o&&n<=this._core.minimum(!0)),this._controls.$next.toggleClass("disabled",!o&&n>=this._core.maximum(!0))),this._controls.$absolute.toggleClass("disabled",!i.dots||s),i.dots&&(e=this._pages.length-this._controls.$absolute.children().length,i.dotsData&&0!==e?this._controls.$absolute.html(this._templates.join("")):e>0?this._controls.$absolute.append(new Array(e+1).join(this._templates[0])):0>e&&this._controls.$absolute.children().slice(e).remove(),this._controls.$absolute.find(".active").removeClass("active"),this._controls.$absolute.children().eq(t.inArray(this.current(),this._pages)).addClass("active"))},n.prototype.onTrigger=function(e){var i=this._core.settings;e.page={index:t.inArray(this.current(),this._pages),count:this._pages.length,size:i&&(i.center||i.autoWidth||i.dotsData?1:i.dotsEach||i.items)}},n.prototype.current=function(){var e=this._core.relative(this._core.current());return t.grep(this._pages,t.proxy(function(t,i){return t.start<=e&&t.end>=e},this)).pop()},n.prototype.getPosition=function(e){var i,s,n=this._core.settings;return"page"==n.slideBy?(i=t.inArray(this.current(),this._pages),s=this._pages.length,e?++i:--i,i=this._pages[(i%s+s)%s].start):(i=this._core.relative(this._core.current()),s=this._core.items().length,e?i+=n.slideBy:i-=n.slideBy),i},n.prototype.next=function(e){t.proxy(this._overrides.to,this._core)(this.getPosition(!0),e)},n.prototype.prev=function(e){t.proxy(this._overrides.to,this._core)(this.getPosition(!1),e)},n.prototype.to=function(e,i,s){var n;s?t.proxy(this._overrides.to,this._core)(e,i):(n=this._pages.length,t.proxy(this._overrides.to,this._core)(this._pages[(e%n+n)%n].start,i))},t.fn.vcOwlCarousel.Constructor.Plugins.Navigation=n}(window.Zepto||window.jQuery,window,document),function(t,e,i,s){"use strict";var n=function(i){this._core=i,this._hashes={},this.$element=this._core.$element,this._handlers={"initialized.owl.vccarousel":t.proxy(function(i){i.namespace&&"URLHash"===this._core.settings.startPosition&&t(e).trigger("hashchange.owl.navigation")},this),"prepared.owl.vccarousel":t.proxy(function(e){if(e.namespace){var i=t(e.content).find("[data-hash]").andSelf("[data-hash]").attr("data-hash");if(!i)return;this._hashes[i]=e.content}},this),"changed.owl.vccarousel":t.proxy(function(i){if(i.namespace&&"position"===i.property.name){var s=this._core.items(this._core.relative(this._core.current())),n=t.map(this._hashes,function(t,e){return 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!function(t,e,i,s){function n(e,i){this.settings=null,this.options=t.extend({},n.Defaults,i),this.$element=t(e),this._handlers={},this._plugins={},this._supress={},this._current=null,this._speed=null,this._coordinates=[],this._breakpoint=null,this._width=null,this._items=[],this._clones=[],this._mergers=[],this._widths=[],this._invalidated={},this._pipe=[],this._drag={time:null,target:null,pointer:null,stage:{start:null,current:null},direction:null},this._states={current:{},tags:{initializing:["busy"],animating:["busy"],dragging:["interacting"]}},t.each(["onResize","onThrottledResize"],t.proxy(function(e,i){this._handlers[i]=t.proxy(this[i],this)},this)),t.each(n.Plugins,t.proxy(function(t,e){this._plugins[t[0].toLowerCase()+t.slice(1)]=new 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e=this.settings.margin||"",i=!this.settings.autoWidth,s=this.settings.rtl,n={width:"auto","margin-left":s?e:"","margin-right":s?"":e};!i&&this.$stage.children().css(n),t.css=n}},{filter:["width","items","settings"],run:function(t){var e=(this.width()/this.settings.items).toFixed(3)-this.settings.margin,i=null,s=this._items.length,n=!this.settings.autoWidth,o=[];for(t.items={merge:!1,width:e};s--;)i=this._mergers[s],i=this.settings.mergeFit&&Math.min(i,this.settings.items)||i,t.items.merge=i>1||t.items.merge,o[s]=n?e*i:this._items[s].width();this._widths=o}},{filter:["items","settings"],run:function(){var e=[],i=this._items,s=this.settings,n=Math.max(2*s.items,4),o=2*Math.ceil(i.length/2),r=s.loop&&i.length?s.rewind?n:Math.max(n,o):0,a="",h="";for(r/=2;r--;)e.push(this.normalize(e.length/2,!0)),a+=i[e[e.length-1]][0].outerHTML,e.push(this.normalize(i.length-1-(e.length-1)/2,!0)),h=i[e[e.length-1]][0].outerHTML+h;this._clones=e,t(a).addClass("cloned").appendTo(this.$stage),t(h).addClass("cloned").prependTo(this.$stage)}},{filter:["width","items","settings"],run:function(){for(var t=this.settings.rtl?1:-1,e=this._clones.length+this._items.length,i=-1,s=0,n=0,o=[];++ii;i++)t=this._coordinates[i-1]||0,e=Math.abs(this._coordinates[i])+o*n,(this.op(t,"<=",r)&&this.op(t,">",a)||this.op(e,"<",r)&&this.op(e,">",a))&&h.push(i);this.$stage.children(".active").removeClass("active"),this.$stage.children(":eq("+h.join("), 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RegExp("("+this.options.responsiveClass+"-)\\S+\\s","g"),"$1"+s))):n=t.extend({},this.options),(null===this.settings||this._breakpoint!==s)&&(this.trigger("change",{property:{name:"settings",value:n}}),this._breakpoint=s,this.settings=n,this.invalidate("settings"),this.trigger("changed",{property:{name:"settings",value:this.settings}}))},n.prototype.optionsLogic=function(){this.settings.autoWidth&&(this.settings.stagePadding=!1,this.settings.merge=!1)},n.prototype.prepare=function(e){var i=this.trigger("prepare",{content:e});return i.data||(i.data=t("<"+this.settings.itemElement+"/>").addClass(this.options.itemClass).append(e)),this.trigger("prepared",{content:i.data}),i.data},n.prototype.update=function(){for(var e=0,i=this._pipe.length,s=t.proxy(function(t){return this[t]},this._invalidated),n={};i>e;)(this._invalidated.all||t.grep(this._pipe[e].filter,s).length>0)&&this._pipe[e].run(n),e++;this._invalidated={},!this.is("valid")&&this.enter("valid")},n.prototype.width=function(t){switch(t=t||n.Width.Default){case n.Width.Inner:case n.Width.Outer:return this._width;default:return this._width-2*this.settings.stagePadding+this.settings.margin}},n.prototype.refresh=function(){this.enter("refreshing"),this.trigger("refresh"),this.setup(),this.optionsLogic(),this.$element.addClass(this.options.refreshClass),this.update(),this.$element.removeClass(this.options.refreshClass),this.leave("refreshing"),this.trigger("refreshed")},n.prototype.onThrottledResize=function(){e.clearTimeout(this.resizeTimer),this.resizeTimer=e.setTimeout(this._handlers.onResize,this.settings.responsiveRefreshRate)},n.prototype.onResize=function(){return this._items.length?this._width===this.$element.width()?!1:this.$element.is(":visible")?(this.enter("resizing"),this.trigger("resize").isDefaultPrevented()?(this.leave("resizing"),!1):(this.invalidate("width"),this.refresh(),this.leave("resizing"),void this.trigger("resized"))):!1:!1},n.prototype.registerEventHandlers=function(){t.support.transition&&this.$stage.on(t.support.transition.end+".owl.core",t.proxy(this.onTransitionEnd,this)),this.settings.responsive!==!1&&this.on(e,"resize",this._handlers.onThrottledResize),this.settings.mouseDrag&&(this.$element.addClass(this.options.dragClass),this.$stage.on("mousedown.owl.core",t.proxy(this.onDragStart,this)),this.$stage.on("dragstart.owl.core selectstart.owl.core",function(){return!1})),this.settings.touchDrag&&(this.$stage.on("touchstart.owl.core",t.proxy(this.onDragStart,this)),this.$stage.on("touchcancel.owl.core",t.proxy(this.onDragEnd,this)))},n.prototype.onDragStart=function(e){var s=null;3!==e.which&&(t.support.transform?(s=this.$stage.css("transform").replace(/.*\(|\)| /g,"").split(","),s={x:s[16===s.length?12:4],y:s[16===s.length?13:5]}):(s=this.$stage.position(),s={x:this.settings.rtl?s.left+this.$stage.width()-this.width()+this.settings.margin:s.left,y:s.top}),this.is("animating")&&(t.support.transform?this.animate(s.x):this.$stage.stop(),this.invalidate("position")),this.$element.toggleClass(this.options.grabClass,"mousedown"===e.type),this.speed(0),this._drag.time=(new Date).getTime(),this._drag.target=t(e.target),this._drag.stage.start=s,this._drag.stage.current=s,this._drag.pointer=this.pointer(e),t(i).on("mouseup.owl.core touchend.owl.core",t.proxy(this.onDragEnd,this)),t(i).one("mousemove.owl.core touchmove.owl.core",t.proxy(function(e){var s=this.difference(this._drag.pointer,this.pointer(e));t(i).on("mousemove.owl.core touchmove.owl.core",t.proxy(this.onDragMove,this)),Math.abs(s.x)0^this.settings.rtl?"left":"right";t(i).off(".owl.core"),this.$element.removeClass(this.options.grabClass),(0!==s.x&&this.is("dragging")||!this.is("valid"))&&(this.speed(this.settings.dragEndSpeed||this.settings.smartSpeed),this.current(this.closest(n.x,0!==s.x?o:this._drag.direction)),this.invalidate("position"),this.update(),this._drag.direction=o,(Math.abs(s.x)>3||(new Date).getTime()-this._drag.time>300)&&this._drag.target.one("click.owl.core",function(){return!1})),this.is("dragging")&&(this.leave("dragging"),this.trigger("dragged"))},n.prototype.closest=function(e,i){var s=-1,n=30,o=this.width(),r=this.coordinates();return this.settings.freeDrag||t.each(r,t.proxy(function(t,a){return e>a-n&&a+n>e?s=t:this.op(e,"<",a)&&this.op(e,">",r[t+1]||a-o)&&(s="left"===i?t+1:t),-1===s},this)),this.settings.loop||(this.op(e,">",r[this.minimum()])?s=e=this.minimum():this.op(e,"<",r[this.maximum()])&&(s=e=this.maximum())),s},n.prototype.animate=function(e){var i=this.speed()>0;this.is("animating")&&this.onTransitionEnd(),i&&(this.enter("animating"),this.trigger("translate")),t.support.transform3d&&t.support.transition?this.$stage.css({transform:"translate3d("+e+"px,0px,0px)",transition:this.speed()/1e3+"s"}):i?this.$stage.animate({left:e+"px"},this.speed(),this.settings.fallbackEasing,t.proxy(this.onTransitionEnd,this)):this.$stage.css({left:e+"px"})},n.prototype.is=function(t){return this._states.current[t]&&this._states.current[t]>0},n.prototype.current=function(t){if(t===s)return this._current;if(0===this._items.length)return s;if(t=this.normalize(t),this._current!==t){var e=this.trigger("change",{property:{name:"position",value:t}});e.data!==s&&(t=this.normalize(e.data)),this._current=t,this.invalidate("position"),this.trigger("changed",{property:{name:"position",value:this._current}})}return this._current},n.prototype.invalidate=function(e){return"string"===t.type(e)&&(this._invalidated[e]=!0,this.is("valid")&&this.leave("valid")),t.map(this._invalidated,function(t,e){return e})},n.prototype.reset=function(t){t=this.normalize(t),t!==s&&(this._speed=0,this._current=t,this.suppress(["translate","translated"]),this.animate(this.coordinates(t)),this.release(["translate","translated"]))},n.prototype.normalize=function(e,i){var n=this._items.length,o=i?0:this._clones.length;return!t.isNumeric(e)||1>n?e=s:(0>e||e>=n+o)&&(e=((e-o/2)%n+n)%n+o/2),e},n.prototype.relative=function(t){return t-=this._clones.length/2,this.normalize(t,!0)},n.prototype.maximum=function(t){var e,i=this.settings,s=this._coordinates.length,n=Math.abs(this._coordinates[s-1])-this._width,o=-1;if(i.loop)s=this._clones.length/2+this._items.length-1;else if(i.autoWidth||i.merge)for(;s-o>1;)Math.abs(this._coordinates[e=s+o>>1])0)-(0>n),r=this._items.length,a=this.minimum(),h=this.maximum();this.settings.loop?(!this.settings.rewind&&Math.abs(n)>r/2&&(n+=-1*o*r),t=i+n,s=((t-a)%r+r)%r+a,s!==t&&h>=s-n&&s-n>0&&(i=s-n,t=s,this.reset(i))):this.settings.rewind?(h+=1,t=(t%h+h)%h):t=Math.max(a,Math.min(h,t)),this.speed(this.duration(i,t,e)),this.current(t),this.$element.is(":visible")&&this.update()},n.prototype.next=function(t){t=t||!1,this.to(this.relative(this.current())+1,t)},n.prototype.prev=function(t){t=t||!1,this.to(this.relative(this.current())-1,t)},n.prototype.onTransitionEnd=function(t){return t!==s&&(t.stopPropagation(),(t.target||t.srcElement||t.originalTarget)!==this.$stage.get(0))?!1:(this.leave("animating"),void this.trigger("translated"))},n.prototype.viewport=function(){var s;if(this.options.responsiveBaseElement!==e)s=t(this.options.responsiveBaseElement).width();else if(e.innerWidth)s=e.innerWidth;else{if(!i.documentElement||!i.documentElement.clientWidth)throw"Can not detect viewport width.";s=i.documentElement.clientWidth}return s},n.prototype.replace=function(e){this.$stage.empty(),this._items=[],e&&(e=e instanceof jQuery?e:t(e)),this.settings.nestedItemSelector&&(e=e.find("."+this.settings.nestedItemSelector)),e.filter(function(){return 1===this.nodeType}).each(t.proxy(function(t,e){e=this.prepare(e),this.$stage.append(e),this._items.push(e),this._mergers.push(1*e.find("[data-merge]").andSelf("[data-merge]").attr("data-merge")||1)},this)),this.reset(t.isNumeric(this.settings.startPosition)?this.settings.startPosition:0),this.invalidate("items")},n.prototype.add=function(e,i){var n=this.relative(this._current);i=i===s?this._items.length:this.normalize(i,!0),e=e instanceof jQuery?e:t(e),this.trigger("add",{content:e,position:i}),e=this.prepare(e),0===this._items.length||i===this._items.length?(0===this._items.length&&this.$stage.append(e),0!==this._items.length&&this._items[i-1].after(e),this._items.push(e),this._mergers.push(1*e.find("[data-merge]").andSelf("[data-merge]").attr("data-merge")||1)):(this._items[i].before(e),this._items.splice(i,0,e),this._mergers.splice(i,0,1*e.find("[data-merge]").andSelf("[data-merge]").attr("data-merge")||1)),this._items[n]&&this.reset(this._items[n].index()),this.invalidate("items"),this.trigger("added",{content:e,position:i})},n.prototype.remove=function(t){t=this.normalize(t,!0),t!==s&&(this.trigger("remove",{content:this._items[t],position:t}),this._items[t].remove(),this._items.splice(t,1),this._mergers.splice(t,1),this.invalidate("items"),this.trigger("removed",{content:null,position:t}))},n.prototype.preloadAutoWidthImages=function(e){e.each(t.proxy(function(e,i){this.enter("pre-loading"),i=t(i),t(new Image).one("load",t.proxy(function(t){i.attr("src",t.target.src),i.css("opacity",1),this.leave("pre-loading"),!this.is("pre-loading")&&!this.is("initializing")&&this.refresh()},this)).attr("src",i.attr("src")||i.attr("data-src")||i.attr("data-src-retina"))},this))},n.prototype.destroy=function(){this.$element.off(".owl.core"),this.$stage.off(".owl.core"),t(i).off(".owl.core"),this.settings.responsive!==!1&&(e.clearTimeout(this.resizeTimer),this.off(e,"resize",this._handlers.onThrottledResize));for(var s in this._plugins)this._plugins[s].destroy();this.$stage.children(".cloned").remove(),this.$stage.unwrap(),this.$stage.children().contents().unwrap(),this.$stage.children().unwrap(),this.$element.removeClass(this.options.refreshClass).removeClass(this.options.loadingClass).removeClass(this.options.loadedClass).removeClass(this.options.rtlClass).removeClass(this.options.dragClass).removeClass(this.options.grabClass).attr("class",this.$element.attr("class").replace(new RegExp(this.options.responsiveClass+"-\\S+\\s","g"),"")).removeData("owl.vccarousel")},n.prototype.op=function(t,e,i){var s=this.settings.rtl;switch(e){case"<":return s?t>i:i>t;case">":return s?i>t:t>i;case">=":return s?i>=t:t>=i;case"<=":return s?t>=i:i>=t}},n.prototype.on=function(t,e,i,s){t.addEventListener?t.addEventListener(e,i,s):t.attachEvent&&t.attachEvent("on"+e,i)},n.prototype.off=function(t,e,i,s){t.removeEventListener?t.removeEventListener(e,i,s):t.detachEvent&&t.detachEvent("on"+e,i)},n.prototype.trigger=function(e,i,s,o,r){var a={item:{count:this._items.length,index:this.current()}},h=t.camelCase(t.grep(["on",e,s],function(t){return t}).join("-").toLowerCase()),l=t.Event([e,"owl",s||"vccarousel"].join(".").toLowerCase(),t.extend({relatedTarget:this},a,i));return this._supress[e]||(t.each(this._plugins,function(t,e){e.onTrigger&&e.onTrigger(l)}),this.register({type:n.Type.Event,name:e}),this.$element.trigger(l),this.settings&&"function"==typeof this.settings[h]&&this.settings[h].call(this,l)),l},n.prototype.enter=function(e){t.each([e].concat(this._states.tags[e]||[]),t.proxy(function(t,e){this._states.current[e]===s&&(this._states.current[e]=0),this._states.current[e]++},this))},n.prototype.leave=function(e){t.each([e].concat(this._states.tags[e]||[]),t.proxy(function(t,e){this._states.current[e]--},this))},n.prototype.register=function(e){if(e.type===n.Type.Event){if(t.event.special[e.name]||(t.event.special[e.name]={}),!t.event.special[e.name].owl){var i=t.event.special[e.name]._default;t.event.special[e.name]._default=function(t){return!i||!i.apply||t.namespace&&-1!==t.namespace.indexOf("owl")?t.namespace&&t.namespace.indexOf("owl")>-1:i.apply(this,arguments)},t.event.special[e.name].owl=!0}}else e.type===n.Type.State&&(this._states.tags[e.name]?this._states.tags[e.name]=this._states.tags[e.name].concat(e.tags):this._states.tags[e.name]=e.tags,this._states.tags[e.name]=t.grep(this._states.tags[e.name],t.proxy(function(i,s){return t.inArray(i,this._states.tags[e.name])===s},this)))},n.prototype.suppress=function(e){t.each(e,t.proxy(function(t,e){this._supress[e]=!0},this))},n.prototype.release=function(e){t.each(e,t.proxy(function(t,e){delete this._supress[e]},this))},n.prototype.pointer=function(t){var i={x:null,y:null};return t=t.originalEvent||t||e.event,t=t.touches&&t.touches.length?t.touches[0]:t.changedTouches&&t.changedTouches.length?t.changedTouches[0]:t,t.pageX?(i.x=t.pageX,i.y=t.pageY):(i.x=t.clientX,i.y=t.clientY),i},n.prototype.difference=function(t,e){return{x:t.x-e.x,y:t.y-e.y}},t.fn.vcOwlCarousel=function(e){var i=Array.prototype.slice.call(arguments,1);return this.each(function(){var s=t(this),o=s.data("owl.vccarousel");o||(o=new n(this,"object"==typeof e&&e),s.data("owl.vccarousel",o),t.each(["next","prev","to","destroy","refresh","replace","add","remove"],function(e,i){o.register({type:n.Type.Event,name:i}),o.$element.on(i+".owl.vccarousel.core",t.proxy(function(t){t.namespace&&t.relatedTarget!==this&&(this.suppress([i]),o[i].apply(this,[].slice.call(arguments,1)),this.release([i]))},o))})),"string"==typeof e&&"_"!==e.charAt(0)&&o[e].apply(o,i)})},t.fn.vcOwlCarousel.Constructor=n}(window.Zepto||window.jQuery,window,document),function(t,e,i,s){var n=function(e){this._core=e,this._interval=null,this._visible=null,this._handlers={"initialized.owl.vccarousel":t.proxy(function(t){t.namespace&&this._core.settings.autoRefresh&&this.watch()},this)},this._core.options=t.extend({},n.Defaults,this._core.options),this._core.$element.on(this._handlers)};n.Defaults={autoRefresh:!0,autoRefreshInterval:500},n.prototype.watch=function(){this._interval||(this._visible=this._core.$element.is(":visible"),this._interval=e.setInterval(t.proxy(this.refresh,this),this._core.settings.autoRefreshInterval))},n.prototype.refresh=function(){this._core.$element.is(":visible")!==this._visible&&(this._visible=!this._visible,this._core.$element.toggleClass("owl-hidden",!this._visible),this._visible&&this._core.invalidate("width")&&this._core.refresh())},n.prototype.destroy=function(){var t,i;e.clearInterval(this._interval);for(t in this._handlers)this._core.$element.off(t,this._handlers[t]);for(i in Object.getOwnPropertyNames(this))"function"!=typeof this[i]&&(this[i]=null)},t.fn.vcOwlCarousel.Constructor.Plugins.AutoRefresh=n}(window.Zepto||window.jQuery,window,document),function(t,e,i,s){var n=function(e){this._core=e,this._loaded=[],this._handlers={"initialized.owl.vccarousel change.owl.vccarousel":t.proxy(function(e){if(e.namespace&&this._core.settings&&this._core.settings.lazyLoad&&(e.property&&"position"==e.property.name||"initialized"==e.type))for(var i=this._core.settings,s=i.center&&Math.ceil(i.items/2)||i.items,n=i.center&&-1*s||0,o=(e.property&&e.property.value||this._core.current())+n,r=this._core.clones().length,a=t.proxy(function(t,e){this.load(e)},this);n++-1||(n.each(t.proxy(function(i,s){var n,o=t(s),r=e.devicePixelRatio>1&&o.attr("data-src-retina")||o.attr("data-src");this._core.trigger("load",{element:o,url:r},"lazy"),o.is("img")?o.one("load.owl.lazy",t.proxy(function(){o.css("opacity",1),this._core.trigger("loaded",{element:o,url:r},"lazy")},this)).attr("src",r):(n=new Image,n.onload=t.proxy(function(){o.css({"background-image":"url("+r+")",opacity:"1"}),this._core.trigger("loaded",{element:o,url:r},"lazy")},this),n.src=r)},this)),this._loaded.push(s.get(0)))},n.prototype.destroy=function(){var t,e;for(t in this.handlers)this._core.$element.off(t,this.handlers[t]);for(e in Object.getOwnPropertyNames(this))"function"!=typeof this[e]&&(this[e]=null)},t.fn.vcOwlCarousel.Constructor.Plugins.Lazy=n}(window.Zepto||window.jQuery,window,document),function(t,e,i,s){var n=function(e){this._core=e,this._handlers={"initialized.owl.vccarousel refreshed.owl.vccarousel":t.proxy(function(t){t.namespace&&this._core.settings.autoHeight&&this.update()},this),"changed.owl.vccarousel":t.proxy(function(t){t.namespace&&this._core.settings.autoHeight&&"position"==t.property.name&&this.update()},this),"loaded.owl.lazy":t.proxy(function(t){t.namespace&&this._core.settings.autoHeight&&t.element.closest("."+this._core.settings.itemClass).index()===this._core.current()&&this.update()},this)},this._core.options=t.extend({},n.Defaults,this._core.options),this._core.$element.on(this._handlers)};n.Defaults={autoHeight:!1,autoHeightClass:"owl-height"},n.prototype.update=function(){this._core.$stage.parent().height(this._core.$stage.children().eq(this._core.current()).height()).addClass(this._core.settings.autoHeightClass)},n.prototype.destroy=function(){var t,e;for(t in this._handlers)this._core.$element.off(t,this._handlers[t]);for(e in Object.getOwnPropertyNames(this))"function"!=typeof this[e]&&(this[e]=null)},t.fn.vcOwlCarousel.Constructor.Plugins.AutoHeight=n}(window.Zepto||window.jQuery,window,document),function(t,e,i,s){var n=function(e){this._core=e,this._videos={},this._playing=null,this._handlers={"initialized.owl.vccarousel":t.proxy(function(t){t.namespace&&this._core.register({type:"state",name:"playing",tags:["interacting"]})},this),"resize.owl.vccarousel":t.proxy(function(t){t.namespace&&this._core.settings.video&&this.isInFullScreen()&&t.preventDefault()},this),"refreshed.owl.vccarousel":t.proxy(function(t){t.namespace&&this._core.is("resizing")&&this._core.$stage.find(".cloned .owl-video-frame").remove()},this),"changed.owl.vccarousel":t.proxy(function(t){t.namespace&&"position"===t.property.name&&this._playing&&this.stop()},this),"prepared.owl.vccarousel":t.proxy(function(e){if(e.namespace){var i=t(e.content).find(".owl-video");i.length&&(i.css("display","none"),this.fetch(i,t(e.content)))}},this)},this._core.options=t.extend({},n.Defaults,this._core.options),this._core.$element.on(this._handlers),this._core.$element.on("click.owl.video",".owl-video-play-icon",t.proxy(function(t){this.play(t)},this))};n.Defaults={video:!1,videoHeight:!1,videoWidth:!1},n.prototype.fetch=function(t,e){var i=t.attr("data-vimeo-id")?"vimeo":"youtube",s=t.attr("data-vimeo-id")||t.attr("data-youtube-id"),n=t.attr("data-width")||this._core.settings.videoWidth,o=t.attr("data-height")||this._core.settings.videoHeight,r=t.attr("href");if(!r)throw new Error("Missing video URL.");if(s=r.match(/(http:|https:|)\/\/(player.|www.)?(vimeo\.com|youtu(be\.com|\.be|be\.googleapis\.com))\/(video\/|embed\/|watch\?v=|v\/)?([A-Za-z0-9._%-]*)(\&\S+)?/),s[3].indexOf("youtu")>-1)i="youtube";else{if(!(s[3].indexOf("vimeo")>-1))throw new Error("Video URL not supported.");i="vimeo"}s=s[6],this._videos[r]={type:i,id:s,width:n,height:o},e.attr("data-video",r),this.thumbnail(t,this._videos[r])},n.prototype.thumbnail=function(e,i){var s,n,o,r=i.width&&i.height?'style="width:'+i.width+"px;height:"+i.height+'px;"':"",a=e.find("img"),h="src",l="",c=this._core.settings,p=function(t){n='
',s=c.lazyLoad?'
':'
',e.after(s),e.after(n)};return e.wrap('
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Speciale_berekeningen_met_zombillion_onthullen_verborgen_patronen_en_inzichten - Metal Cut Production

Speciale_berekeningen_met_zombillion_onthullen_verborgen_patronen_en_inzichten

Speciale berekeningen met zombillion onthullen verborgen patronen en inzichten

In de wereld van abstracte wiskunde en speculatieve berekeningen duikt een fascinerend concept op: de zombillion. Het is een getal zo immens groot dat het de grenzen van onze intuïtie overstijgt, een concept dat meer doet denken aan de grenzeloze expansie van het universum dan aan een concrete hoeveelheid. Deze berekening, vaak gebruikt in theoretische discussies en gedachte-experimenten, werpt licht op de aard van oneindigheid en de beperkingen van de menselijke verbeelding. Het is een instrument om te visualiseren wat onvoorstelbaar groot is.

De zombillion is niet een getal dat je in dagelijkse transacties tegenkomt; het is een constructie die dient om bepaalde wiskundige ideeën te verkennen en de schaal van bepaalde fenomenen te begrijpen, zoals bijvoorbeeld het aantal mogelijke configuraties van elementaire deeltjes in het heelal. Het is een concept dat de geest uitdaagt om voorbij de directe ervaring te kijken en te overwegen wat mogelijk zou zijn op een schaal die ver buiten onze normale waarneming ligt. De complexiteit van het berekenen en begrijpen van deze grootheid is een bewijs van de menselijke capaciteit voor abstract denken.

De Wiskundige Basis van de Zombillion

De zombillion is geen vaststaand getal met een eenduidige definitie, maar eerder een notie die verschillende interpretaties kent. Vaak wordt het gebruikt als een informele term voor een extreem groot getal, maar er bestaan ook pogingen om het wiskundig te definiëren. Een veelgebruikte benadering is gebaseerd op het concept van tetratie, een herhaalde exponentiatie. In de basis is het de poging om een getal te definiëren dat groter is dan een googol (10100) of zelfs een googolplex (10googol). De zombillion overstijgt deze getallen exponentieel.

De berekening van een zombillion vereist niet alleen een diep begrip van wiskundige operaties, maar ook een flexibele benadering van notatie. Traditionele notatiesystemen zijn simpelweg niet toereikend om zulke enorme getallen weer te geven. Daarom worden vaak recursieve definities of speciale symbolen gebruikt om de omvang aan te duiden. Dit maakt het volgen van de berekening voor niet-wiskundigen vrijwel onmogelijk, maar benadrukt tegelijkertijd de kracht van wiskunde in het omgaan met abstracte grootheden.

Getal Wetenschappelijke Notatie Woord-Notatie
1.000 1 x 103 Duizend
1.000.000 1 x 106 Miljoen
10100 1 x 10100 Googol
10googol 1 x 1010100 Googolplex

De tabel illustreert hoe snel getallen groeien en hoe de zombillion, hoewel niet exact gedefinieerd, aanzienlijk groter is dan zelfs de googolplex. Het dient als een illustratie van de enorme schaal waar we mee te maken hebben bij het bespreken van deze abstracte concepten. Het benadrukt de noodzaak van innovatieve notaties en benaderingen om deze grootheden te kunnen begrijpen en manipuleren.

De Toepassingen van Zombillions in de Theoretische Natuurkunde

Hoewel de zombillion in de dagelijkse praktijk geen directe toepassing heeft, speelt het een cruciale rol in bepaalde takken van de theoretische natuurkunde. Bijvoorbeeld, in de context van de snaartheorie en de multiversumhypothese, worden dergelijke immens grote getallen gebruikt om het geschatte aantal mogelijke universums te kwantificeren. Elk universum zou een unieke set natuurwetten en constante kunnen hebben, en het totale aantal mogelijke combinaties is astronomisch, mogelijk zelfs van de orde van een zombillion of groter. Het is een manier om de grenzen van de mogelijkheden te verkennen.

Ook in de kwantummechanica spelen grote getallen een rol. De Hilbert-ruimte, de wiskundige ruimte waarin alle mogelijke toestanden van een kwantumsysteem worden beschreven, kan in bepaalde gevallen een oneindige dimensie hebben. Het aantal mogelijke toestanden kan enorm zijn, vooral voor complexe systemen met veel deeltjes. Hoewel niet noodzakelijkerwijs gelijk aan een zombillion, illustreert dit wel de noodzaak om met immens grote getallen om te gaan bij het beschrijven van de kwantumwereld.

  • Het concept van de zombillion helpt bij het visualiseren van de schaal van het multiversum.
  • Het is relevant bij het beschrijven van de Hilbert-ruimte in de kwantummechanica.
  • Het daagt onze intuïtie uit over de aard van oneindigheid.
  • Het stimuleert de ontwikkeling van nieuwe wiskundige notaties.

Het begrip zombillion forceert ons om na te denken over de grenzen van onze kennis en de mogelijkheden van het universum. Het is een herinnering aan de onbegrijpelijke complexiteit van de natuur en de uitdagingen die ons te wachten staan bij het proberen deze te begrijpen. Het is een bron van inspiratie voor nieuwe theorieën en benaderingen in de wetenschap.

De Filosofische Implicaties van Oneindige Getallen

De discussie over zombillions en andere immens grote getallen heeft ook belangrijke filosofische implicaties. Het roept vragen op over de aard van oneindigheid, de grenzen van de menselijke cognitie en de betekenis van onze plaats in het universum. Als er werkelijk oneindig veel universums bestaan, of als er oneindig veel mogelijke toestanden zijn in een enkel universum, wat betekent dit dan voor ons gevoel van uniciteit en doelgerichtheid? Zijn we slechts minuscule toevalligheden in een oneindige zee van mogelijkheden?

Het concept van oneindigheid heeft de mensheid door de eeuwen heen gefascineerd en verontrust. Het is een concept dat zowel inspiratie als angst oproept. Filosofen en theologen hebben zich eeuwenlang beziggehouden met de vraag of oneindigheid überhaupt begrijpelijk is voor de menselijke geest. De zombillion, als een concrete (zij het hypothetische) manifestatie van oneindigheid, kan dienen als een startpunt voor deze discussies.

  1. Beschouw de schaal van het universum en de waarschijnlijkheid van andere universums.
  2. Onderzoek de grenzen van de menselijke cognitie bij het omgaan met oneindigheid.
  3. Reflecteer op de betekenis van onze plaats in een potentieel oneindig universum.
  4. Stel vragen over de aard van realiteit en de grenzen van onze kennis.

De confrontatie met zulke concepten kan leiden tot een dieper begrip van onszelf en onze plaats in de kosmos. Het kan ons helpen om onze vooroordelen te doorbreken, onze perspectieven te verbreden en open te staan voor nieuwe ideeën. Het is een uitdaging voor onze intellectuele en spirituele capaciteiten.

De Zombillion in Popular Cultuur en Fictie

Het idee van extreem grote getallen, en soms specifiek de zombillion als metafoor, vindt zijn weg naar populaire cultuur en fictie. Het wordt vaak gebruikt om de onvoorstelbare schaal van kosmische gebeurtenissen te illustreren, of om de macht van buitenaardse wezens te benadrukken. In sciencefictionverhalen kan een zombillion verwijzen naar het aantal sterren in een melkwegstelsel, het aantal mogelijke tijdlijnen, of het aantal simulaties waartoe een geavanceerde beschaving in staat is. Het dient als een shorthand voor overweldigende grootsheid.

De aantrekkingskracht van deze getallen in fictie ligt in hun vermogen om de verbeelding te prikkelen en een gevoel van ontzag te creëren. Ze herinneren ons aan de grenzeloze mogelijkheden van het universum en de beperkingen van onze eigen perceptie. Het kan ook dienen als een commentaar op de menselijke conditie, en onze pogingen om de wereld om ons heen te begrijpen en te beheersen. De zombillion, hoewel wiskundig abstract, krijgt zo een narratieve en emotionele lading.

De Toekomst van Berekeningen en de Zoektocht naar nog Grotere Getallen

De zoektocht naar nog grotere getallen is een voortdurende uitdaging voor wiskundigen en informatici. Met de voortdurende ontwikkeling van de technologie en de verbetering van onze berekeningscapaciteit, worden ook de grenzen van wat haalbaar is verlegd. Nieuwe wiskundige concepten en notaties worden ontwikkeld om deze enorme getallen te kunnen beschrijven en manipuleren. De zombillion is, vanuit dit perspectief, slechts een mijlpaal op een oneindige reis.

De ontwikkeling van kwantumcomputers zou een revolutie teweeg kunnen brengen in de manier waarop we met grote getallen omgaan. Kwantumcomputers hebben het potentieel om bepaalde berekeningen veel sneller uit te voeren dan klassieke computers, waardoor het mogelijk wordt om problemen op te lossen die voorheen onoplosbaar waren. Dit zou nieuwe mogelijkheden kunnen openen voor het verkennen van de wiskundige eigenschappen van immens grote getallen, en voor het ontwikkelen van nieuwe toepassingen in gebieden zoals cryptografie en materiaalwetenschappen. De toekomst van de berekeningen is ongetwijfeld verbonden met dit verder onderzoek.