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t)switch(e.mathstyle){case"cramp":n=n.cramp;break;case"superscript":n=n.sup;break;case"subscript":n=n.sub;break;case"numerator":n=n.fracNum;break;case"denominator":n=n.fracDen;break}switch(e.mathstyle){case"textstyle":n=pt.textstyle;break;case"displaystyle":n=pt.displaystyle;break;case"scriptstyle":n=pt.scriptstyle;break;case"scriptscriptstyle":n=pt.scriptscriptstyle;break;case"":case"auto":break}}this.mathstyle=n,this.smartFence=i.smartFence,this.placeholderSymbol=i.placeholderSymbol,this.colorMap=(v=i.colorMap)!=null?v:(A=>A),this.backgroundColorMap=(k=i.backgroundColorMap)!=null?k:(A=>A),this.getMacro=i.getMacro,this.parent!==void 0||this.registers}makeID(){if(!this.atomIdsSettings)return;if(this.atomIdsSettings.overrideID)return this.atomIdsSettings.overrideID;if(typeof this.atomIdsSettings.seed!="number")return`${Date.now().toString(36).slice(-2)}${Math.floor(Math.random()*1e5).toString(36)}`;let e=this.atomIdsSettings.seed.toString(36);return this.atomIdsSettings.seed+=1,e}scale(e){return e*this.effectiveFontSize}get scalingFactor(){return this.parent?this.effectiveFontSize/this.parent.effectiveFontSize:1}get isDisplayStyle(){return this.mathstyle.id===Wa||this.mathstyle.id===Xn}get isCramped(){return this.mathstyle.cramped}get isTight(){return this.mathstyle.isTight}get metrics(){return this.mathstyle.metrics}get effectiveFontSize(){return Math.max(jn[Math.max(1,this.size+this.mathstyle.sizeDelta)],this.minFontScale)}getRegister(e){if(this.registers&&e in this.registers)return this.registers[e];if(this.parent)return this.parent.getRegister(e)}getRegisterAsNumber(e){let r=this.getRegister(e);if(typeof r=="number")return r;if(typeof r=="string")return Number(r)}getRegisterAsGlue(e){if(this.registers&&e in this.registers){let r=this.registers[e];return typeof r=="object"&&"glue"in r?r:typeof r=="object"&&"dimension"in r?{glue:{dimension:r.dimension}}:typeof r=="number"?{glue:{dimension:r}}:void 0}if(this.parent)return this.parent.getRegisterAsGlue(e)}getRegisterAsEm(e,r){return Ua(this.getRegisterAsDimension(e),r)}getRegisterAsDimension(e){if(this.registers&&e in this.registers){let r=this.registers[e];return typeof r=="object"&&"glue"in r?r.glue:typeof r=="object"&&"dimension"in r?r:typeof r=="number"?{dimension:r}:void 0}if(this.parent)return this.parent.getRegisterAsDimension(e)}setRegister(e,r){if(r===void 0){delete this.registers[e];return}this.registers[e]=r}evaluate(e){if(!e||!("register"in e))return e;let r=this;if("global"in e&&e.global)for(;r.parent;)r=r.parent;let i=1;"factor"in e&&e.factor!==1&&e.factor!==void 0&&(i=e.factor);let n=r.getRegister(e.register);if(n===void 0)return;if(typeof n=="string")return{string:Number(n).toString()+n};if(typeof n=="number")return{number:i*n};let o=r.evaluate(n);if(o!==void 0)return"string"in o?{string:Number(n).toString()+o.string}:"number"in o?{number:i*o.number}:"dimension"in o?g(p({},o),{dimension:i*o.dimension}):"glue"in o?g(p({},o),{glue:g(p({},o.glue),{dimension:i*o.glue.dimension}),shrink:o.shrink?g(p({},o.shrink),{dimension:i*o.shrink.dimension}):void 0,grow:o.grow?g(p({},o.grow),{dimension:i*o.grow.dimension}):void 0}):e}toDimension(e){let r=this.evaluate(e);if(r===void 0)return null;if("dimension"in r)return r;if("glue"in r)return r.glue;if("number"in r)return{dimension:r.number};if("string"in r){let i=parseFloat(r.string),n=r.string.match(/(mm|cm|ex|px|em|bp|dd|pc|in|mu)$/);return n?{dimension:i,unit:n[0]}:{dimension:i}}return null}toEm(e,r){if(e===null)return 0;let i=this.toDimension(e);return i===null?0:tc(i,r)/Pt}toNumber(e){if(e===null)return null;let r=this.evaluate(e);return r===void 0?null:"number"in r?r.number:"dimension"in r?r.dimension:"glue"in r?r.glue.dimension:"string"in r?Number(r.string):null}toColor(e){var i,n;if(e===null)return null;let r=this.evaluate(e);return r===void 0?null:"string"in r?(n=(i=this.colorMap)==null?void 0:i.call(this,r.string))!=null?n:r.string:null}toBackgroundColor(e){var i,n;if(e===null)return null;let r=this.evaluate(e);return r===void 0?null:"string"in r?(n=(i=this.backgroundColorMap)==null?void 0:i.call(this,r.string))!=null?n:r.string:null}};var Pr=["body","above","below","superscript","subscript"];function Kr(t){return typeof t=="string"&&Pr.includes(t)}function Ge(t){return t!==void 0&&Array.isArray(t)&&t.length===2}var y=class t{constructor(e){this.isRoot=!1;var r,i,n,o,a,s,l;this.type=e.type,typeof e.value=="string"&&(this.value=e.value),this.command=(i=(r=e.command)!=null?r:this.value)!=null?i:"",this.mode=(n=e.mode)!=null?n:"math",e.isFunction&&(this.isFunction=!0),(e.isRoot||this.type==="root")&&(this.isRoot=!0),e.limits&&(this.subsupPlacement=e.limits),this.style=p({},(o=e.style)!=null?o:{}),this.displayContainsHighlight=(a=e.displayContainsHighlight)!=null?a:!1,this.captureSelection=(s=e.captureSelection)!=null?s:!1,this.skipBoundary=(l=e.skipBoundary)!=null?l:!1,e.verbatimLatex!==void 0&&e.verbatimLatex!==null&&(this.verbatimLatex=e.verbatimLatex),e.args&&(this.args=e.args),e.body&&(this.body=e.body),this._changeCounter=0}static createBox(e,r,i){var s;if(!r)return null;let n=wf(r),o=[];for(let l of n){let c=l[0].style,u=Sf(e,l,{style:{color:c.color,backgroundColor:c.backgroundColor,fontSize:c.fontSize}});u&&o.push(u)}if(o.length===0)return null;let a=((s=i==null?void 0:i.classes)!=null?s:"").trim();return o.length===1&&!a&&!(i!=null&&i.type)?o[0].wrap(e):new w(o,{classes:a,type:i==null?void 0:i.type}).wrap(e)}static serialize(e,r){return ve.serialize(e,r)}static commonAncestor(e,r){if(e===r||e.parent===r.parent)return e.parent;let i=new WeakSet,{parent:n}=e;for(;n;)i.add(n),n=n.parent;for(n=r.parent;n;){if(i.has(n))return n;n=n.parent}}static fromJson(e){return typeof e=="string"?new t({type:"mord",value:e,mode:"math"}):new t(e)}toJson(){if(this._json)return this._json;let e={};if(this.type&&(e.type=this.type),this.mode!=="math"&&(e.mode=this.mode),this.command&&this.command!==this.value&&(e.command=this.command),this.value!==void 0&&(e.value=this.value),this.style&&Object.keys(this.style).length>0&&(e.style=p({},this.style)),this.verbatimLatex!==void 0&&(e.verbatimLatex=this.verbatimLatex),this.subsupPlacement&&(e.subsupPlacement=this.subsupPlacement),this.explicitSubsupPlacement&&(e.explicitSubsupPlacement=!0),this.isFunction&&(e.isFunction=!0),this.displayContainsHighlight&&(e.displayContainsHighlight=!0),this.skipBoundary&&(e.skipBoundary=!0),this.captureSelection&&(e.captureSelection=!0),this.args&&(e.args=kf(this.args)),this._branches)for(let r of Object.keys(this._branches))this._branches[r]&&(e[r]=this._branches[r].filter(i=>i.type!=="first").map(i=>i.toJson()));return e.type==="mord"&&Object.keys(e).length===2&&"value"in e?e.value:(this._json=e,e)}get changeCounter(){return this.parent?this.parent.changeCounter:this._changeCounter}set isDirty(e){e&&(this._json=void 0,this.parent||this._changeCounter++,"verbatimLatex"in this&&(this.verbatimLatex=void 0),this._children=void 0,this.parent&&(this.parent.isDirty=!0))}_serialize(e){if(!(e.expandMacro||e.skipStyles||e.skipPlaceholders)&&typeof this.verbatimLatex=="string")return this.verbatimLatex;let r=ne(this.command,this.mode);return r!=null&&r.serialize?r.serialize(this,e):this.body&&this.command?P([W(this.command,this.bodyToLatex(e)),this.supsubToLatex(e)]):this.body?P([this.bodyToLatex(e),this.supsubToLatex(e)]):!this.value||this.value==="\u200B"?"":this.command}bodyToLatex(e){var i;let r=(i=e.defaultMode)!=null?i:this.mode==="math"?"math":"text";return ve.serialize(this.body,g(p({},e),{defaultMode:r}))}aboveToLatex(e){return ve.serialize(this.above,e)}belowToLatex(e){return ve.serialize(this.below,e)}supsubToLatex(e){let r="";if(e=g(p({},e),{defaultMode:"math"}),this.branch("subscript")!==void 0){let i=ve.serialize(this.subscript,e);i.length===0?r+="_{}":i.length===1?/^[0-9]$/.test(i)?r+=`_${i}`:r+=`_{${i}}`:r+=`_{${i}}`}if(this.branch("superscript")!==void 0){let i=ve.serialize(this.superscript,e);i.length===0?r+="^{}":i.length===1?i==="\u2032"?r+="^\\prime ":i==="\u2033"?r+="^\\doubleprime ":/^[0-9]$/.test(i)?r+=`^${i}`:r+=`^{${i}}`:r+=`^{${i}}`}return r}get treeDepth(){let e=1,r=this.parent;for(;r;)r=r.parent,e+=1;return e}get inCaptureSelection(){let e=this;for(;e;){if(e.captureSelection)return!0;e=e.parent}return!1}get parentPrompt(){let e=this.parent;for(;e;){if(e.type==="prompt"&&!e.captureSelection)return e;e=e.parent}return null}branch(e){if(Kr(e)&&this._branches)return this._branches[e]}get branches(){if(!this._branches)return[];let e=[];for(let r of Pr)this._branches[r]&&e.push(r);return e}createBranch(e){return Kr(e),Kr(e)?(this._branches?this._branches[e]||(this._branches[e]=[this.makeFirstAtom(e)]):this._branches={[e]:[this.makeFirstAtom(e)]},this.isDirty=!0,this._branches[e]):[]}get row(){return Ge(this.parentBranch)?this.parentBranch[0]:-1}get col(){return Ge(this.parentBranch)?this.parentBranch[1]:-1}get body(){var e;return(e=this._branches)==null?void 0:e.body}set body(e){this.setChildren(e,"body")}get superscript(){var e;return(e=this._branches)==null?void 0:e.superscript}set superscript(e){this.setChildren(e,"superscript")}get subscript(){var e;return(e=this._branches)==null?void 0:e.subscript}set subscript(e){this.setChildren(e,"subscript")}get above(){var e;return(e=this._branches)==null?void 0:e.above}set above(e){this.setChildren(e,"above")}get below(){var e;return(e=this._branches)==null?void 0:e.below}set below(e){this.setChildren(e,"below")}applyStyle(e,r){this.isDirty=!0,r!=null&&r.unstyledOnly?(e.color&&!this.style.color&&(this.style.color=e.color),e.backgroundColor&&!this.style.backgroundColor&&(this.style.backgroundColor=e.backgroundColor),e.fontFamily&&!this.style.fontFamily&&(this.style.fontFamily=e.fontFamily),e.fontShape&&!this.style.fontShape&&(this.style.fontShape=e.fontShape),e.fontSeries&&!this.style.fontSeries&&(this.style.fontSeries=e.fontSeries),e.fontSize&&!this.style.fontSize&&(this.style.fontSize=e.fontSize),e.variant&&!this.style.variant&&(this.style.variant=e.variant),e.variantStyle&&!this.style.variantStyle&&(this.style.variantStyle=e.variantStyle)):this.style=p(p({},this.style),e),this.style.fontFamily==="none"&&delete this.style.fontFamily,this.style.fontShape==="auto"&&delete this.style.fontShape,this.style.fontSeries==="auto"&&delete this.style.fontSeries,this.style.color==="none"&&(delete this.style.color,delete this.style.verbatimColor),this.style.backgroundColor==="none"&&(delete this.style.backgroundColor,delete this.style.verbatimBackgroundColor),this.style.fontSize==="auto"&&delete this.style.fontSize;for(let i of this.children)i.applyStyle(e,r)}getInitialBaseElement(){var e,r,i;return this.hasEmptyBranch("body")?this:((e=this.body)==null||e[0].type,(i=(r=this.body[1])==null?void 0:r.getInitialBaseElement())!=null?i:this)}getFinalBaseElement(){return this.hasEmptyBranch("body")?this:this.body[this.body.length-1].getFinalBaseElement()}isCharacterBox(){return this.type==="leftright"||this.type==="genfrac"||this.type==="subsup"||this.type==="delim"||this.type==="array"||this.type==="surd"?!1:this.getFinalBaseElement().type==="mord"}hasEmptyBranch(e){let r=this.branch(e);return r?(r.length>0,r[0].type,r.length===1):!0}setChildren(e,r){var n;if(!e||(Kr(r),!Kr(r)))return;let i=((n=e[0])==null?void 0:n.type)==="first"?[...e]:[this.makeFirstAtom(r),...e];this._branches?this._branches[r]=i:this._branches={[r]:i};for(let o of e)o.parent=this,o.parentBranch=r;this.isDirty=!0}makeFirstAtom(e){let r=new t({type:"first",mode:this.mode});return r.parent=this,r.parentBranch=e,r}addChild(e,r){e.type,this.createBranch(r).push(e),this.isDirty=!0,e.parent=this,e.parentBranch=r}addChildBefore(e,r){r.parentBranch;let i=this.createBranch(r.parentBranch);i.splice(i.indexOf(r),0,e),this.isDirty=!0,e.parent=this,e.parentBranch=r.parentBranch}addChildAfter(e,r){r.parentBranch;let i=this.createBranch(r.parentBranch);i.splice(i.indexOf(r)+1,0,e),this.isDirty=!0,e.parent=this,e.parentBranch=r.parentBranch}addChildren(e,r){let i=this.createBranch(r);for(let n of e)n.parent=this,n.parentBranch=r,i.push(n);this.isDirty=!0}addChildrenAfter(e,r){e.length===0||e[0].type,r.parentBranch;let i=this.createBranch(r.parentBranch);i.splice(i.indexOf(r)+1,0,...e),this.isDirty=!0;for(let n of e)n.parent=this,n.parentBranch=r.parentBranch;return e[e.length-1]}removeBranch(e){let r=this.branch(e);if(Kr(e)&&(this._branches[e]=void 0),!r)return[];for(let o of r)o.parent=void 0,o.parentBranch=void 0;r[0].type;let[i,...n]=r;return this.isDirty=!0,n}removeChild(e){if(e.parent,e.type==="first")return;let r=this.branch(e.parentBranch),i=r.indexOf(e);i>=0,r.splice(i,1),this.isDirty=!0,e.parent=void 0,e.parentBranch=void 0}get siblings(){return this.parent?this.parent.branch(this.parentBranch):[]}get firstSibling(){return this.siblings[0]}get lastSibling(){let{siblings:e}=this;return e[e.length-1]}get isFirstSibling(){return this===this.firstSibling}get isLastSibling(){return this===this.lastSibling}get hasNoSiblings(){return this.siblings.length===1}get leftSibling(){this.parent;let e=this.parent.branch(this.parentBranch);return e[e.indexOf(this)-1]}get rightSibling(){this.parent;let e=this.parent.branch(this.parentBranch);return e[e.indexOf(this)+1]}get hasChildren(){return!!(this._branches&&this.children.length>0)}get firstChild(){return this.hasChildren,this.children[0]}get lastChild(){this.hasChildren;let{children:e}=this;return e[e.length-1]}get children(){if(this._children)return this._children;if(!this._branches)return[];let e=[];for(let r of Pr)if(this._branches[r])for(let i of this._branches[r])e.push(...i.children),e.push(i);return this._children=e,e}render(e){if(this.type==="first"&&!e.atomIdsSettings)return null;let r=ne(this.command,this.mode);if(r!=null&&r.render)return r.render(this,e);let i=new K({parent:e},this.style),n=this.createBox(i,{classes:this.parent?"":"ML__base"});return n?(!this.subsupPlacement&&(this.superscript||this.subscript)&&(n=this.attachSupsub(i,{base:n})),n.wrap(i)):null}attachSupsub(e,r){var f;let i=r.base,n=this.superscript,o=this.subscript;if(!n&&!o)return i;let a=null,s=null,l=(f=r.isCharacterBox)!=null?f:this.isCharacterBox(),c=0;if(n){let x=new K({parent:e,mathstyle:"superscript"});a=t.createBox(x,n),l||(c=i.height-e.metrics.supDrop*x.scalingFactor)}let u=0;if(o){let x=new K({parent:e,mathstyle:"subscript"});s=t.createBox(x,o),l||(u=i.depth+e.metrics.subDrop*x.scalingFactor)}let m;e.isDisplayStyle?m=e.metrics.sup1:e.isCramped?m=e.metrics.sup3:m=e.metrics.sup2;let d=.5/Pt/e.scalingFactor,h=null;if(s&&a){c=Math.max(c,m,a.depth+.25*e.metrics.xHeight),u=Math.max(u,e.metrics.sub2);let x=e.metrics.defaultRuleThickness;if(c-a.depth-(s.height-u)<4*x){u=4*x-(c-a.depth)+s.height;let b=.8*e.metrics.xHeight-(c-a.depth);b>0&&(c+=b,u-=b)}let _=this.type==="extensible-symbol"&&i.italic?-i.italic:0;h=new te({individualShift:[{box:s,shift:u,marginLeft:_},{box:a,shift:-c}]})}else s&&!a?(u=Math.max(u,e.metrics.sub1,s.height-.8*Je),h=new te({shift:u,children:[{box:s,marginRight:d,marginLeft:this.isCharacterBox()?-i.italic:0}]})):!s&&a&&(c=Math.max(c,m,a.depth+.25*Je),h=new te({shift:-c,children:[{box:a,marginRight:d}]}));return new w([i,new w(h,{caret:this.caret,isSelected:this.isSelected,classes:"ML__msubsup"})],{type:r.type})}attachLimits(e,r){let i=this.superscript?t.createBox(new K({parent:e,mathstyle:"superscript"},this.style),this.superscript):null,n=this.subscript?t.createBox(new K({parent:e,mathstyle:"subscript"},this.style),this.subscript):null;return!i&&!n?r.base.wrap(e):R0(e,g(p({},r),{above:i,below:n}))}bind(e,r){if(!r||e.isPhantom||this.value==="\u200B")return r;let i=this.parent;for(;i&&!i.captureSelection;)i=i.parent;return i!=null&&i.captureSelection||(this.id||(this.id=e.makeID()),r.atomID=this.id),r}createBox(e,r){var s,l,c,u;let i=(s=this.value)!=null?s:this.body,n=(l=r==null?void 0:r.boxType)!=null?l:Ha(this.type),o=(c=r==null?void 0:r.classes)!=null?c:"";this.mode==="text"&&(o+=" ML__text");let a=typeof i=="string"||i===void 0?new 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V0=[{key:"left",command:"moveToPreviousChar"},{key:"right",command:"moveToNextChar"},{key:"up",command:"moveUp"},{key:"down",command:"moveDown"},{key:"shift+[ArrowLeft]",command:"extendSelectionBackward"},{key:"shift+[ArrowRight]",command:"extendSelectionForward"},{key:"shift+[ArrowUp]",command:"extendSelectionUpward"},{key:"shift+[ArrowDown]",command:"extendSelectionDownward"},{key:"[Backspace]",command:"deleteBackward"},{key:"[Delete]",command:"deleteForward"},{key:"shift+[Backspace]",command:"deleteForward"},{key:"alt+[Backspace]",command:"deletePreviousWord"},{key:"alt+[Delete]",command:"deleteNextWord"},{key:"ctrl+[Backspace]",command:"deleteToGroupStart"},{key:"ctrl+[Delete]",command:"deleteToGroupEnd"},{key:"ctrl+shift+[Backspace]",command:"deleteToGroupEnd"},{key:"alt+[ArrowLeft]",command:"moveToPreviousWord"},{key:"alt+[ArrowRight]",command:"moveToNextWord"},{key:"shift+alt+[ArrowLeft]",command:"extendToPreviousWord"},{key:"shift+alt+[ArrowRight]",command:"extendToNextWord"},{key:"ctrl+[ArrowLeft]",command:"moveToGroupStart"},{key:"ctrl+[ArrowRight]",command:"moveToGroupEnd"},{key:"shift+ctrl+[ArrowLeft]",command:"extendToGroupStart"},{key:"shift+ctrl+[ArrowRight]",command:"extendToGroupEnd"},{key:"[Home]",command:"moveToMathfieldStart"},{key:"cmd+[ArrowLeft]",command:"moveToMathfieldStart"},{key:"shift+[Home]",command:"extendToMathFieldStart"},{key:"shift+cmd+[ArrowLeft]",command:"extendToMathFieldStart"},{key:"[End]",command:"moveToMathfieldEnd"},{key:"cmd+[ArrowRight]",command:"moveToMathfieldEnd"},{key:"shift+[End]",command:"extendToMathFieldEnd"},{key:"shift+cmd+[ArrowRight]",command:"extendToMathFieldEnd"},{key:"[Pageup]",command:"moveToGroupStart"},{key:"[Pagedown]",command:"moveToGroupEnd"},{key:"[Tab]",command:"moveToNextGroup"},{key:"shift+[Tab]",command:"moveToPreviousGroup"},{key:"[Escape]",ifMode:"math",command:["switchMode","latex"]},{key:"[Escape]",ifMode:"text",command:["switchMode","latex"]},{key:"[Escape]",ifMode:"latex",command:["complete","complete",{selectItem:"true"}]},{key:"\\",ifMode:"math",command:["switchMode","latex","","\\"]},{key:"[IntlBackslash]",ifMode:"math",command:["switchMode","latex","","\\"]},{key:"[Tab]",ifMode:"latex",command:["complete","accept-suggestion"]},{key:"[Return]",ifMode:"latex",command:["complete","accept-all"]},{key:"[Enter]",ifMode:"latex",command:["complete","accept-all"]},{key:"shift+[Escape]",ifMode:"latex",command:["complete","reject"]},{key:"[ArrowDown]",ifMode:"latex",command:"nextSuggestion"},{key:"[ArrowUp]",ifMode:"latex",command:"previousSuggestion"},{key:"ctrl+a",ifPlatform:"!macos",command:"selectAll"},{key:"cmd+a",command:"selectAll"},{key:"[Cut]",command:"cutToClipboard"},{key:"[Copy]",command:"copyToClipboard"},{key:"[Paste]",command:"pasteFromClipboard"},{key:"[Clear]",command:"deleteBackward"},{key:"[Undo]",command:"undo"},{key:"[Redo]",command:"redo"},{key:"[EraseEof]",command:"deleteToGroupEnd"},{key:"ctrl+x",ifPlatform:"ios",command:"cutToClipboard"},{key:"cmd+x",ifPlatform:"ios",command:"cutToClipboard"},{key:"ctrl+c",ifPlatform:"ios",command:"copyToClipboard"},{key:"cmd+c",ifPlatform:"ios",command:"copyToClipboard"},{key:"ctrl+v",ifPlatform:"ios",command:"pasteFromClipboard"},{key:"cmd+v",ifPlatform:"ios",command:"pasteFromClipboard"},{key:"ctrl+z",ifPlatform:"!macos",command:"undo"},{key:"cmd+z",command:"undo"},{key:"ctrl+y",ifPlatform:"!macos",command:"redo"},{key:"shift+cmd+y",command:"redo"},{key:"shift+ctrl+z",ifPlatform:"!macos",command:"redo"},{key:"shift+cmd+z",command:"redo"},{key:"ctrl+b",ifPlatform:"macos",command:"moveToPreviousChar"},{key:"ctrl+f",ifPlatform:"macos",command:"moveToNextChar"},{key:"ctrl+p",ifPlatform:"macos",command:"moveUp"},{key:"ctrl+n",ifPlatform:"macos",command:"moveDown"},{key:"ctrl+a",ifPlatform:"macos",command:"moveToMathfieldStart"},{key:"ctrl+e",ifPlatform:"macos",command:"moveToMathfieldEnd"},{key:"shift+ctrl+b",ifPlatform:"macos",command:"extendSelectionBackward"},{key:"shift+ctrl+f",ifPlatform:"macos",command:"extendSelectionForward"},{key:"shift+ctrl+p",ifPlatform:"macos",command:"extendSelectionUpward"},{key:"shift+ctrl+n",ifPlatform:"macos",command:"extendSelectionDownward"},{key:"shift+ctrl+a",ifPlatform:"macos",command:"extendToMathFieldStart"},{key:"shift+ctrl+e",ifPlatform:"macos",command:"extendToMathFieldEnd"},{key:"alt+ctrl+b",ifPlatform:"macos",command:"moveToPreviousWord"},{key:"alt+ctrl+f",ifPlatform:"macos",command:"moveToNextWord"},{key:"shift+alt+ctrl+b",ifPlatform:"macos",command:"extendToPreviousWord"},{key:"shift+alt+ctrl+f",ifPlatform:"macos",command:"extendToNextWord"},{key:"ctrl+h",ifPlatform:"macos",command:"deleteBackward"},{key:"ctrl+d",ifPlatform:"macos",command:"deleteForward"},{key:"ctrl+l",ifPlatform:"macos",command:"scrollIntoView"},{key:"ctrl+[Digit2]",ifMode:"math",command:["insert","\\sqrt{#0}"]},{key:"ctrl+[Digit5]",ifMode:"math",command:"moveToOpposite"},{key:"ctrl+[Digit6]",ifMode:"math",command:"moveToSuperscript"},{key:"ctrl+[Return]",ifMode:"math",command:"addRowAfter"},{key:"ctrl+[Enter]",ifMode:"math",command:"addRowAfter"},{key:"cmd+[Return]",ifMode:"math",command:"addRowAfter"},{key:"cmd+[Enter]",ifMode:"math",command:"addRowAfter"},{key:"alt+p",ifMode:"math",command:["insert","\\pi"]},{key:"alt+v",ifMode:"math",command:["insert","\\sqrt{#0}"]},{key:"alt+shift+v",ifMode:"math",command:["insert","\\sqrt[#0]{#1}"]},{key:"alt+o",ifMode:"math",command:["insert","\\emptyset"]},{key:"alt+d",ifMode:"math",command:["insert","\\differentialD"]},{key:"shift+alt+o",ifMode:"math",command:["insert","\\varnothing"]},{key:"shift+alt+d",ifMode:"math",command:["insert","\\partial"]},{key:"alt+[Backslash]",ifMode:"math",command:["insert","\\backslash"]},{key:"[NumpadDivide]",ifMode:"math",command:["insert","\\frac{#@}{#?}"]},{key:"alt+[NumpadDivide]",ifMode:"math",command:["insert","\\frac{#?}{#@}"]},{key:"shift+alt+k",command:"toggleKeystrokeCaption"},{key:"alt+[Space]",command:"toggleContextMenu"},{key:"alt+shift+[Space]",command:"toggleVirtualKeyboard"},{key:"alt+ctrl+[ArrowUp]",command:["speak","all",{withHighlighting:!1}]},{key:"alt+ctrl+[ArrowDown]",command:["speak","selection",{withHighlighting:!1}]},{key:"shift+[Quote]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["switchMode","text","",""]},{key:"shift+[Quote]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"text",command:["switchMode","math","",""]},{key:"shift+alt+[KeyT]",ifMode:"math",command:["switchMode","text"]},{key:"shift+alt+[KeyT]",ifMode:"text",command:["switchMode","math"]},{key:"/",ifMode:"math",command:["insert","\\frac{#@}{#?}"]},{key:"alt+/",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","/"]},{key:"alt+shift+/",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","/"]},{key:"alt+[BracketLeft]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","\\left\\lbrack #0 \\right\\rbrack"]},{key:"ctrl+[Minus]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:"moveToSubscript"},{key:"shift+alt+[BracketLeft]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","\\left\\lbrace #0 \\right\\rbrace"]},{key:"ctrl+;",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:"addRowAfter"},{key:"cmd+;",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:"addRowAfter"},{key:"shift+ctrl+;",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:"addRowBefore"},{key:"shift+cmd+;",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:"addRowBefore"},{key:"alt+[Tab]",ifMode:"math",command:"addColumnAfter"},{key:"shift+alt+[Tab]",ifMode:"math",command:"addColumnBefore"},{key:"alt+[Enter]",ifMode:"math",command:"addRowAfter"},{key:"shift+alt+[Enter]",ifMode:"math",command:"addRowBefore"},{key:"alt+[Return]",ifMode:"math",command:"addRowAfter"},{key:"shift+alt+[Return]",ifMode:"math",command:"addRowBefore"},{key:"shift+[Backspace]",ifMode:"math",command:"removeColumn"},{key:"shift+[Delete]",ifMode:"math",command:"removeRow"},{key:"shift+alt+[Backspace]",ifMode:"math",command:"removeRow"},{key:"alt+[Digit5]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","$\\infty"]},{key:"alt+[Digit9]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","("]},{key:"alt+[Digit0]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert",")"]},{key:"alt+|",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","|"]},{key:"shift+[Backquote]",ifLayout:["apple.en-intl","windows.en-intl","linux.en"],ifMode:"math",command:["insert","\\~"]},{key:"[Backquote]",ifLayout:["windows.french","linux.french"],ifMode:"math",command:["insert","^2"]},{key:"[Backquote]",ifLayout:["windows.german","linux.german"],ifMode:"math",command:["insert","^"]},{key:"[IntlBackslash]",ifLayout:["apple.german"],ifMode:"math",command:["insert","^"]}],q0={"\\sqrt":["alt+v","ctrl+[Digit2]"],"\\pi":"alt+p","\\infty":"alt+[Digit5]","\\differentialD":"alt+d","\\partial":"shift+alt+d","\\frac":"Slash","\\emptyset":"alt+o","\\varnothing":"shift+alt+o","\\~":"~"};function it(t){var e;return((e=t.element)==null?void 0:e.mathfield)===t}function Df(t){var e,r;return(r=(e=t.querySelector(".ML__caret"))!=null?e:t.querySelector(".ML__text-caret"))!=null?r:t.querySelector(".ML__latex-caret")}function Yi(t){let e=Df(t);if(!e)return null;let r=e.getBoundingClientRect();return{x:r.right,y:r.bottom,height:r.height}}function Of(t){var r;if(!t.parent)return"root";let e=(r=t.parent.id)!=null?r:"";return e+=typeof t.parentBranch=="string"?"-"+t.parentBranch:`-${t.parentBranch[0]}/${t.parentBranch[0]}`,e}function oc(t,e,r){if(!e)return null;let i=t.field.getBoundingClientRect(),n=e.right-e.left,o=e.bottom-e.top,a=Math.ceil(e.left-i.left+t.field.scrollLeft*r),s=Math.ceil(e.top-i.top);return{left:a,right:a+n,top:s,bottom:s+o}}function nc(t){let e=t,r=e.getBoundingClientRect();for(;r.bottom===r.top&&e.parentElement instanceof Element&&(e=e.parentElement,r=e.getBoundingClientRect(),r.bottom===r.top););let 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i=t.field.querySelectorAll(`[data-atom-id="${e.id}"]`),n=Array.from(i);if(e.type==="prompt"){for(let s of n)if(s.classList.contains("ML__prompt-atom")){let l=s.querySelector(".ML__prompt");if(l){let c=nc(l);r?(r.left=Math.min(r.left,c.left),r.right=Math.max(r.right,c.right),r.top=Math.min(r.top,c.top),r.bottom=Math.max(r.bottom,c.bottom)):r=c}}}for(let s of n){let l=nc(s);r?(r.left=Math.min(r.left,l.left),r.right=Math.max(r.right,l.right),r.top=Math.min(r.top,l.top),r.bottom=Math.max(r.bottom,l.bottom)):r=l}return t.atomBoundsCache&&(r?t.atomBoundsCache.set(e.id,r):t.atomBoundsCache.delete(e.id)),r!=null?r:null}function H0(t,e){let[r,i]=e,n=null;for(let o=r;o<=i;o++){let a=nr(t,t.model.at(o));a&&(n?(n.top=Math.min(n.top,a.top),n.bottom=Math.max(n.bottom,a.bottom),n.left=Math.min(n.left,a.left),n.right=Math.max(n.right,a.right)):n=a)}return n!=null?n:{top:0,bottom:0,left:0,right:0}}function Bf(t,e,r){let i=new Map,n=t.field,o=n.offsetWidth,s=Math.floor(n.getBoundingClientRect().width)/o;s=isNaN(s)?1:s;for(let l of t.model.getAtoms(e,{includeChildren:!0})){if(r!=null&&r.excludeAtomsWithBackground&&l.style.backgroundColor)continue;let c=oc(t,nr(t,l),s);if(c){let u=Of(l);if(i.has(u)){let m=i.get(u);i.set(u,{left:Math.min(m.left,c.left),right:Math.max(m.right,c.right),top:Math.min(m.top,c.top),bottom:Math.max(m.bottom,c.bottom)})}else i.set(u,c)}}return[...i.values()]}function Xa(t,e){return t.model.selection.ranges.reduce((r,i)=>r.concat(...Bf(t,i,e)),[])}function Qi(t,e){return t==="*"||e==="none"?!0:e==="same-origin"?!window.origin||t===window.origin:typeof e=="function"?e(t):!1}function ac(t){let e=0,r=0,i=t.offsetWidth,n=t.offsetHeight;for(;t instanceof HTMLElement;)e+=t.offsetTop,r+=t.offsetLeft,t=t.offsetParent;return new DOMRect(r,e,i,n)}function Za(t,e){if(!t)return;let r=t.model.at(e);if(!r)return;let i={},n=nr(t,r);n&&(i.bounds=new DOMRect(n.left,n.top,n.right-n.left,n.bottom-n.top)),i.depth=r.treeDepth-2,i.style=r.style;let o=r;for(;o;){if(o.command==="\\htmlData"&&o.args&&typeof o.args[0]=="string"){let a=o.args[0].split(",");for(let s of a){let l=s.match(/([^=]+)=(.+$)/);if(l){let c=l[1].trim().replace(/ /g,"-");c&&(i.data||(i.data={}),i.data[c]=l[2])}else{let c=s.trim().replace(/ /g,"-");c&&(i.data||(i.data={}),i.data[c]=void 0)}}}(o.command==="\\htmlId"||o.command==="\\cssId")&&!i.id&&o.args&&typeof o.args[0]=="string"&&(i.id=o.args[0]),o=o.parent}return(r.mode==="math"||r.mode==="text")&&(i.latex=y.serialize([r],{defaultMode:"math"})),i}function W0(t,e){let r=t.model.at(e);for(;r;){if(r.command==="\\href"){let i=r.args[0];if(typeof i=="string")return i}r=r.parent}return""}var U0=`@keyframes ML__caret-blink {
  0%,
  100% {
    opacity: 1;
  }
  50% {
    opacity: 0;
  }
}
:host {
  display: block;
}
.ML__container {
  display: inline-flex;
  flex-flow: row;
  justify-content: space-between;
  align-items: flex-end;
  min-height: 39px;
  /* Need some room for the virtual keyboard toggle */
  width: 100%;
  padding: 4px;
  box-sizing: border-box;
  /* This attribute is necessary to work around a Firefox issue where
  where clicking multiple times on the border leads to a focused mathfield that cannot be edited until focus is lost and regained (also fixes the multiple cursor issue on firefox that can occur with the same sequence of events).
  */
  pointer-events: auto;
  /* Prevent the browser from trying to interpret touch gestures in the field */
  /* "Disabling double-tap to zoom removes the need for browsers to
        delay the generation of click events when the user taps the screen." */
  touch-action: none;
  --_caret-color: var(--caret-color, hsl(var(--_hue), 40%, 49%));
  --_selection-color: var(--selection-color, #000);
  --_selection-background-color: var(--selection-background-color, hsl(var(--_hue), 70%, 85%));
  --_text-highlight-background-color: var(--highlight-text, hsla(var(--_hue), 40%, 50%, 0.1));
  --_contains-highlight-background-color: var(--contains-highlight-background-color, hsl(var(--_hue), 40%, 95%));
  --_smart-fence-color: var(--smart-fence-color, currentColor);
  --_smart-fence-opacity: var(--smart-fence-opacity, 0.5);
  --_contains-highlight-color: var(--contains-highlight-color, var(--_caret-color));
  --_latex-color: var(--latex-color, hsl(var(--_hue), 80%, 40%));
  --_correct-color: var(--correct-color, #10a000);
  --_incorrect-color: var(--incorrect-color, #a01b00);
  --_composition-background-color: var(--composition-background-color, #fff1c2);
  --_composition-text-color: var(--composition-text-color, black);
  --_composition-underline-color: var(--composition-underline-color, transparent);
  --_tooltip-border: var(--tooltip-border, 1px solid transparent);
  --_tooltip-border-radius: var(--tooltip-border-radius, 8px);
  --_tooltip-background-color: var(--tooltip-background-color, #616161);
  --_tooltip-color: var(--tooltip-color, #fff);
  --_tooltip-box-shadow: var(--tooltip-box-shadow, 0 2px 2px 0 rgba(0, 0, 0, 0.14), 0 1px 5px 0 rgba(0, 0, 0, 0.12), 0 3px 1px -2px rgba(0, 0, 0, 0.2));
}
@media (prefers-color-scheme: dark) {
  .ML__container {
    --_contains-highlight-color: var(--contains-highlight-color, hsl(var(--_hue), 85%, 75%));
    --_caret-color: var(--caret-color, hsl(var(--_hue), 65%, 55%));
    --_selection-color: var(--selection-color, #fff);
    --_selection-background-color: var(--selection-background-color, hsl(var(--_hue), 65%, 55%));
    --_text-highlight-background-color: var(--text-highlight-background-color, hsla(var(--_hue), 40%, 50%, 0.6));
    --_contains-highlight-background-color: var(--contains-highlight-background-color, hsl(var(--_hue), 5%, 34%));
    --_latex-color: var(--primary, hsl(var(--_hue), 40%, 50%));
    --_composition-background-color: #69571c;
    --_composition-text-color: white;
    --_placeholder-color: hsl(var(--_hue), 60%, 69%);
    --_smart-fence-color: var(--smart-fence-color, #fff);
    --_smart-fence-opacity: var(--smart-fence-opacity, 0.7);
  }
}
@media (forced-colors: active) {
  .ML__container {
    --_caret-color: white;
    --_selection-color: white;
    --_smart-fence-color: white;
    --_latex-color: white;
    --_correct-color: white;
    --_incorrect-color: white;
    --_composition-text-color: white;
  }
}
@media (hover: none) and (pointer: coarse) {
  :host(:not(:focus)) .ML__container {
    pointer-events: none;
  }
}
/* This is the actual field content (formula) */
.ML__content {
  display: flex;
  align-items: center;
  align-self: center;
  position: relative;
  overflow: hidden;
  padding: 2px 3px 2px 1px;
  width: 100%;
  /* Encourage the browser to use the GPU to render the field.
     Weirdly, this is required for prompts to be rendered correctly. 
   */
  isolation: isolate;
  text-shadow: var(--text-shadow);
}
.ML__content .ML__latex {
  text-shadow: var(--text-shadow);
}
.ML__content .ML__sqrt-line {
  box-shadow: var(--text-shadow);
}
.ML__content .ML__frac-line {
  box-shadow: var(--text-shadow);
}
/* Container for the virtual keyboard toggle and menu toggle buttons */
.ML__toggles {
  display: flex;
  flex-direction: row;
  align-items: flex-start;
  gap: 0;
  align-self: flex-start;
}
/* Vertical layout modifier */
.ML__toggles--vertical {
  flex-direction: column;
  align-items: center;
  gap: 4px;
}
.ML__toggles--vertical .ML__virtual-keyboard-toggle,
.ML__toggles--vertical .ML__menu-toggle {
  margin-right: 0;
}
.ML__virtual-keyboard-toggle,
.ML__menu-toggle {
  box-sizing: border-box;
  display: flex;
  align-self: center;
  align-items: center;
  flex-shrink: 0;
  flex-direction: column;
  justify-content: center;
  width: 34px;
  height: 34px;
  padding: 0;
  margin-right: 4px;
  cursor: pointer;
  /* Avoid some weird blinking with :hover */
  border-radius: 8px;
  border: 1px solid transparent;
  transition: background 0.2s cubic-bezier(0.64, 0.09, 0.08, 1);
  color: hsl(var(--_hue), 40%, 50%);
  fill: currentColor;
  background: transparent;
}
.ML__virtual-keyboard-toggle:hover,
.ML__menu-toggle:hover {
  background: hsla(0, 0%, 70%, 0.3);
  color: #333;
  fill: currentColor;
}
.ML__virtual-keyboard-toggle > span,
.ML__menu-toggle > span {
  display: flex;
  align-self: center;
  align-items: center;
}
@media (pointer: coarse) {
  .ML__virtual-keyboard-toggle,
  .ML__menu-toggle {
    min-width: 60px;
    min-height: 60px;
  }
}
/* The invisible element used to capture keyboard events. We're just trying
 really hard to make sure it doesn't show. */
.ML__keyboard-sink {
  display: inline-block;
  resize: none;
  outline: none;
  border: none;
  pointer-events: none;
  /* Need these for Microsoft Edge */
  position: fixed;
  clip: rect(0 0 0 0);
  /* Need this to prevent iOS Safari from auto-zooming */
  font-size: 1em;
  font-family: KaTeX_Main;
  line-height: 0.5;
  /* On Chromium, if this is 0, no keyboard events are received */
  /* Preferred over clip */
  clip-path: inset(50%);
}
[part='placeholder'] {
  color: var(--neutral-400);
}
.ML__composition {
  background: var(--_composition-background-color);
  color: var(--_composition-text-color);
  text-decoration: underline var(--_composition-underline-color);
}
.ML__caret {
  display: inline-block;
}
.ML__caret::after {
  content: '';
  visibility: hidden;
  width: 0;
  display: inline-block;
  height: 0.76em;
  --_caret-width: clamp(2px, 0.08em, 10px);
  border: none;
  border-radius: calc(var(--_caret-width) / 2);
  border-right: var(--_caret-width) solid var(--_caret-color);
  margin-right: calc(-1 * var(--_caret-width));
  position: relative;
  left: -0.045em;
  bottom: -0.05em;
  animation: ML__caret-blink 1.05s step-end forwards infinite;
}
.ML__text-caret::after {
  content: '';
  visibility: hidden;
  width: 0;
  display: inline-block;
  height: 0.76em;
  --_caret-width: clamp(2px, 0.08em, 10px);
  border: none;
  border-radius: calc(var(--_caret-width) / 2);
  border-right: var(--_caret-width) solid var(--_caret-color);
  margin-right: calc(-1 * var(--_caret-width));
  position: relative;
  left: -0.045em;
  bottom: -0.05em;
  animation: ML__caret-blink 1.05s step-end forwards infinite;
}
.ML__latex-caret::after {
  content: '';
  visibility: hidden;
  --_caret-width: clamp(2px, 0.08em, 10px);
  border: none;
  border-radius: calc(var(--_caret-width) / 2);
  border-right: var(--_caret-width) solid var(--_latex-color);
  margin-right: calc(-1 * var(--_caret-width));
  position: relative;
  left: -0.019em;
  animation: ML__caret-blink 1.05s step-end forwards infinite;
}
.ML__focused .ML__latex-caret::after,
.ML__focused .ML__text-caret::after,
.ML__focused .ML__caret::after {
  visibility: visible;
}
.ML__focused .ML__text {
  background: var(--_text-highlight-background-color);
}
/* When using smartFence, the anticipated closing fence is displayed
with this style */
.ML__smart-fence__close {
  opacity: var(--_smart-fence-opacity);
  color: var(--_smart-fence-color);
}
.ML__focused .ML__selected,
.ML__focused .ML__selected .ML__contains-caret,
.ML__focused .ML__selected .ML__smart-fence__close,
.ML__focused .ML__selected .ML__placeholder {
  color: var(--_selection-color);
  opacity: 1;
}
.ML__empty-line-anchor::after {
  content: '';
  position: absolute;
  left: 0;
  top: 50%;
  transform: translateY(-50%);
  width: 8px;
  height: 20px;
  border-radius: 2px;
  background: transparent;
  opacity: 0;
  pointer-events: none;
}
.ML__focused .ML__empty-line-anchor.ML__selected::after {
  background: var(--_selection-background-color);
  opacity: 1;
}
.ML__selection {
  box-sizing: border-box;
  background: transparent;
}
:host(:focus) .ML__selection {
  background: var(--_selection-background-color) !important;
}
.ML__contains-caret.ML__close,
.ML__contains-caret.ML__open,
.ML__contains-caret > .ML__close,
.ML__contains-caret > .ML__open,
.ML__contains-caret .ML__sqrt-sign,
.ML__contains-caret .ML__sqrt-line {
  color: var(--_contains-highlight-color);
}
.ML__contains-highlight {
  box-sizing: border-box;
  background: transparent;
}
.ML__focused .ML__contains-highlight {
  background: var(--_contains-highlight-background-color);
}
.ML__raw-latex {
  font-family: 'Berkeley Mono', 'IBM Plex Mono', 'Source Code Pro', Consolas, 'Roboto Mono', Menlo, 'Bitstream Vera Sans Mono', 'DejaVu Sans Mono', Monaco, Courier, monospace;
  font-weight: 400;
  font-size: 0.8em;
  letter-spacing: -0.05em;
  color: var(--_latex-color);
}
.ML__suggestion {
  color: var(--neutral-500);
}
.ML__virtual-keyboard-toggle.is-visible.is-pressed:hover {
  background: hsl(var(--_hue), 25%, 35%);
  color: #fafafa;
  fill: currentColor;
}
.ML__virtual-keyboard-toggle.is-pressed,
.ML__virtual-keyboard-toggle.is-active:hover,
.ML__virtual-keyboard-toggle.is-active {
  background: hsl(var(--_hue), 25%, 35%);
  color: #fafafa;
  fill: currentColor;
}
/* Add an attribute 'data-tooltip' to automatically show a
   tooltip over a element on hover.
*/
[data-tooltip] {
  position: relative;
}
[data-tooltip]::after {
  content: attr(data-tooltip);
  position: absolute;
  display: block;
  z-index: 2;
  pointer-events: none;
  right: auto;
  top: calc(-100% - 4px);
  width: max-content;
  max-width: 200px;
  padding: 8px 8px;
  border-radius: 4px;
  background: #616161;
  color: #fff;
  box-shadow: 0 2px 2px 0 rgba(0, 0, 0, 0.14), 0 1px 5px 0 rgba(0, 0, 0, 0.12), 0 3px 1px -2px rgba(0, 0, 0, 0.2);
  text-align: center;
  font-family: system-ui, -apple-system, BlinkMacSystemFont, 'Segoe UI', 'Roboto', 'Oxygen', 'Ubuntu', 'Cantarell', 'Fira Sans', 'Droid Sans', 'Helvetica Neue', sans-serif;
  font-style: normal;
  font-weight: 400;
  font-size: 13px;
  /* Phone */
  opacity: 0;
  transform: scale(0.5);
}
@media only screen and (max-width: 767px) {
  [data-tooltip]::after {
    padding: 8px 16px;
    font-size: 16px;
  }
}
menu [data-tooltip]::after {
  left: 100%;
  top: 0%;
}
menu .ML__base {
  cursor: default;
}
/** Don't display if we're tracking, i.e. have the pointer down */
.tracking [data-tooltip]:hover::after {
  /* Use visibility, not display. Display will remove the after from the DOM, and the override below will not work */
  visibility: hidden;
}
/** But do display if tracking and inside a menu */
.tracking menu li[data-tooltip]:hover::after,
[data-tooltip]:hover::after {
  visibility: visible;
  opacity: 1;
  transform: scale(1);
  transition-property: opacity, scale;
  transition-duration: 0.15s;
  transition-delay: 1s;
  transition-timing-function: cubic-bezier(0.4, 0, 1, 1);
}
.ML__prompt {
  border-radius: 2px;
}
.ML__editablePromptBox {
  outline: 1px solid #acacac;
  border-radius: 2px;
  z-index: -1;
}
.ML__focused .ML__focusedPromptBox {
  outline: highlight auto 1px;
}
.ML__lockedPromptBox {
  background-color: rgba(142, 142, 141, 0.4);
  z-index: -1;
}
.ML__correctPromptBox {
  outline: 1px solid var(--_correct-color);
  box-shadow: 0 0 5px var(--_correct-color);
}
.ML__incorrectPromptBox {
  outline: 1px solid var(--_incorrect-color);
  box-shadow: 0 0 5px var(--_incorrect-color);
}
.variant-submenu {
  display: flex;
  flex-direction: column;
  padding: 8px;
}
.variant-submenu [part='menu-item'].ML__xl {
  font-size: 2rem;
  text-align: center;
  margin: 0;
}
.ML__center-menu .label {
  text-align: center;
}
.insert-matrix-submenu {
  /* Grid doesn't work on Safari */
  --_menu-item-size: 25px;
  width: calc(5 * var(--_menu-item-size));
  display: flex;
  flex-wrap: wrap;
  padding: 8px;
  align-content: center;
  justify-content: center;
}
.insert-matrix-submenu [part='menu-item'] {
  width: var(--_menu-item-size);
  height: var(--_menu-item-size);
  font-size: 21px;
  border: none;
  border-radius: 0;
  line-height: 21px;
  text-align: center;
  padding: 0;
  margin: 0;
}
.border-submenu [part='menu-item'] {
  font-size: 2rem;
  line-height: 1.2;
  text-align: center;
}
.swatches-submenu {
  --_swatch-size: 2rem;
  --_columns: 4;
  display: flex;
  flex-flow: wrap;
  padding: 8px;
  max-width: calc(var(--_columns) * (var(--_swatch-size) + 18px) + 16px);
  box-sizing: border-box;
}
.menu-swatch {
  display: flex;
  align-items: center;
  justify-content: center;
  box-sizing: border-box;
  width: fit-content;
  height: fit-content;
  margin: 2px;
  padding: 0;
  background: var(--neutral-200);
}
.menu-swatch > .label {
  padding: 0;
  margin: 0;
  line-height: 0;
}
.menu-swatch > .label > span {
  display: inline-block;
  margin: 6px;
  min-width: var(--_swatch-size);
  min-height: var(--_swatch-size);
  border-radius: 50%;
}
.menu-swatch.active {
  background: var(--neutral-100);
  scale: 1.4;
}
.menu-swatch.active > .label > span {
  border-radius: 2px;
}
.menu-swatch .ui-checkmark,
.menu-swatch .ui-mixedmark {
  position: absolute;
  margin: 0;
  padding: 0;
  color: white;
}
.menu-swatch.dark-contrast .ui-checkmark,
.menu-swatch.dark-contrast .ui-mixedmark {
  color: #000;
}
.ML__insert-template {
  font-size: 1em;
}
.ML__insert-label {
  opacity: 0.5;
  margin-left: 2ex;
}
`;var j0=`.ML__container {
  min-height: auto !important;
  --_hue: var(--hue, 212);
  --_placeholder-color: var(--placeholder-color, hsl(var(--_hue), 40%, 49%));
  --_placeholder-opacity: var(--placeholder-opacity, 0.4);
  --_text-font-family: var(--text-font-family, system-ui, -apple-system, BlinkMacSystemFont, 'Segoe UI', 'Roboto', 'Oxygen', 'Ubuntu', 'Cantarell', 'Fira Sans', 'Droid Sans', 'Helvetica Neue', sans-serif);
}
.ML__sr-only {
  position: absolute;
  width: 1px;
  height: 1px;
  margin: -1px;
  padding: 0;
  overflow: hidden;
  clip: rect(0, 0, 0, 0);
  clip-path: inset(50%);
  white-space: nowrap;
  border: 0;
}
.ML__is-inline {
  display: inline-block;
}
.ML__base {
  visibility: inherit;
  display: inline-block;
  position: relative;
  cursor: text;
  padding: 0;
  margin: 0;
  box-sizing: content-box;
  border: 0;
  outline: 0;
  vertical-align: baseline;
  font-weight: inherit;
  font-family: inherit;
  font-style: inherit;
  text-decoration: none;
  width: min-content;
}
.ML__strut,
.ML__strut--bottom {
  display: inline-block;
  min-height: 0.5em;
}
.ML__small-delim {
  font-family: KaTeX_Main;
}
/* Text mode */
.ML__text {
  font-family: var(--_text-font-family);
  white-space: pre;
}
/* Use cmr for 'math upright' */
.ML__cmr {
  font-family: KaTeX_Main;
  font-style: normal;
}
.ML__mathit {
  font-family: KaTeX_Math;
  /* The KaTeX_Math font is italic by default, so the font-style below is only 
     useful when a fallback font is used
  */
  font-style: italic;
}
.ML__mathbf {
  font-family: KaTeX_Main;
  font-weight: bold;
}
/* Lowercase greek symbols should stick to math font when \\mathbf is applied 
   to match TeX idiosyncratic behavior */
.lcGreek.ML__mathbf {
  font-family: KaTeX_Math;
}
.ML__mathbfit {
  font-family: KaTeX_Math;
  font-weight: bold;
  font-style: italic;
}
.ML__ams {
  font-family: KaTeX_AMS;
}
/* Blackboard */
.ML__bb {
  font-family: KaTeX_AMS;
}
.ML__cal {
  font-family: KaTeX_Caligraphic;
}
.ML__frak {
  font-family: KaTeX_Fraktur;
}
.ML__tt {
  font-family: KaTeX_Typewriter;
}
.ML__script {
  font-family: KaTeX_Script;
}
.ML__sans {
  font-family: KaTeX_SansSerif;
}
.ML__series_ul {
  font-weight: 100;
}
.ML__series_el {
  font-weight: 100;
}
.ML__series_l {
  font-weight: 200;
}
.ML__series_sl {
  font-weight: 300;
}
.ML__series_sb {
  font-weight: 500;
}
.ML__bold {
  font-weight: 700;
}
.ML__series_eb {
  font-weight: 800;
}
.ML__series_ub {
  font-weight: 900;
}
.ML__series_uc {
  font-stretch: ultra-condensed;
}
.ML__series_ec {
  font-stretch: extra-condensed;
}
.ML__series_c {
  font-stretch: condensed;
}
.ML__series_sc {
  font-stretch: semi-condensed;
}
.ML__series_sx {
  font-stretch: semi-expanded;
}
.ML__series_x {
  font-stretch: expanded;
}
.ML__series_ex {
  font-stretch: extra-expanded;
}
.ML__series_ux {
  font-stretch: ultra-expanded;
}
.ML__it {
  font-style: italic;
}
.ML__shape_ol {
  -webkit-text-stroke: 1px black;
  text-stroke: 1px black;
  color: transparent;
}
.ML__shape_sc {
  font-variant: small-caps;
}
.ML__shape_sl {
  font-style: oblique;
}
/* First level emphasis */
.ML__emph {
  color: #bc2612;
}
/* Second level emphasis */
.ML__emph .ML__emph {
  color: #0c7f99;
}
.ML__highlight {
  color: #007cb2;
  background: #edd1b0;
}
.ML__center {
  text-align: center;
}
.ML__left {
  text-align: left;
}
.ML__right {
  text-align: right;
}
.ML__label_padding {
  padding: 0 0.5em;
}
.ML__frac-line {
  width: 100%;
  min-height: 1px;
}
.ML__frac-line:after {
  content: '';
  display: block;
  margin-top: max(-1px, -0.04em);
  min-height: max(1px, 0.04em);
  /* Ensure the line is visible when printing even if "turn off background images" is on*/
  -webkit-print-color-adjust: exact;
  print-color-adjust: exact;
  /* There's a bug since Chrome 62 where 
      sub-pixel border lines don't draw at some zoom 
      levels (110%, 90%). 
      Setting the min-height used to work around it, but that workaround
      broke in Chrome 84 or so.
      Setting the background (and the min-height) seems to work for now.
      */
  background: currentColor;
  box-sizing: content-box;
  /* Vuetify sets the box-sizing to inherit 
            causes the fraction line to not draw at all sizes (see #26) */
  /* On some versions of Firefox on Windows, the line fails to 
            draw at some zoom levels, but setting the transform triggers
            the hardware accelerated path, which works */
  transform: translate(0, 0);
  forced-color-adjust: preserve-parent-color;
}
@media (forced-colors: active) {
  .ML__frac-line {
    min-height: 0px;
  }
}
.ML__sqrt {
  display: inline-block;
}
.ML__sqrt-sign {
  display: inline-block;
  position: relative;
}
.ML__sqrt-line {
  display: inline-block;
  height: max(1px, 0.04em);
  width: 100%;
}
.ML__sqrt-line:before {
  content: '';
  display: block;
  margin-top: min(-1px, -0.04em);
  min-height: max(1px, 0.04em);
  /* Ensure the line is visible when printing even if "turn off background images" is on*/
  -webkit-print-color-adjust: exact;
  print-color-adjust: exact;
  background: currentColor;
  /* On some versions of Firefox on Windows, the line fails to 
            draw at some zoom levels, but setting the transform triggers
            the hardware accelerated path, which works */
  transform: translate(0, 0);
  forced-color-adjust: preserve-parent-color;
}
@media (forced-colors: active) {
  .ML__sqrt-line:after {
    background: white !important;
  }
}
.ML__sqrt-line:after {
  border-bottom-width: 1px;
  content: ' ';
  display: block;
  margin-top: -0.1em;
}
.ML__sqrt-index {
  margin-left: 0.27777778em;
  margin-right: -0.55555556em;
}
.ML__delim-size1 {
  font-family: KaTeX_Size1;
}
.ML__delim-size2 {
  font-family: KaTeX_Size2;
}
.ML__delim-size3 {
  font-family: KaTeX_Size3;
}
.ML__delim-size4 {
  font-family: KaTeX_Size4;
}
.ML__delim-mult .delim-size1 > span {
  font-family: KaTeX_Size1;
}
.ML__delim-mult .delim-size4 > span {
  font-family: KaTeX_Size4;
}
.ML__accent-body {
  font-family: KaTeX_Main;
}
.ML__accent-combining-char {
  position: relative;
  left: 0.24em;
}
/** The markup for a LaTeX formula, either in an editable mathfield or 
    in a static display.
*/
.ML__latex {
  display: inline-block;
  direction: ltr;
  text-align: left;
  text-indent: 0;
  text-rendering: auto;
  font-family: inherit;
  font-style: normal;
  font-size-adjust: none;
  font-stretch: normal;
  font-variant-caps: normal;
  letter-spacing: normal;
  line-height: 1.2;
  word-wrap: normal;
  word-spacing: normal;
  white-space: nowrap;
  text-shadow: none;
  -webkit-user-select: none;
  user-select: none;
  width: min-content;
  forced-color-adjust: preserve-parent-color;
}
.ML__latex .style-wrap {
  position: relative;
}
.ML__latex .ML__mfrac {
  display: inline-block;
}
.ML__latex .ML__left-right {
  display: inline-block;
}
.ML__latex .ML__vlist-t {
  display: inline-table;
  table-layout: fixed;
  border-collapse: collapse;
}
.ML__latex .ML__vlist-r {
  display: table-row;
}
.ML__latex .ML__vlist {
  display: table-cell;
  vertical-align: bottom;
  position: relative;
}
.ML__latex .ML__vlist > span {
  display: block;
  height: 0;
  position: relative;
}
.ML__latex .ML__vlist > span > span {
  display: inline-block;
}
.ML__latex .ML__vlist > span > .ML__pstrut {
  overflow: hidden;
  width: 0;
}
.ML__latex .ML__vlist-t2 {
  margin-right: -2px;
}
.ML__latex .ML__vlist-s {
  display: table-cell;
  vertical-align: bottom;
  font-size: 1px;
  width: 2px;
  min-width: 2px;
}
.ML__latex .ML__msubsup {
  text-align: left;
}
.ML__latex .ML__negativethinspace {
  display: inline-block;
  margin-left: -0.16667em;
  height: 0.71em;
}
.ML__latex .ML__thinspace {
  display: inline-block;
  width: 0.16667em;
  height: 0.71em;
}
.ML__latex .ML__mediumspace {
  display: inline-block;
  width: 0.22222em;
  height: 0.71em;
}
.ML__latex .ML__thickspace {
  display: inline-block;
  width: 0.27778em;
  height: 0.71em;
}
.ML__latex .ML__enspace {
  display: inline-block;
  width: 0.5em;
  height: 0.71em;
}
.ML__latex .ML__quad {
  display: inline-block;
  width: 1em;
  height: 0.71em;
}
.ML__latex .ML__qquad {
  display: inline-block;
  width: 2em;
  height: 0.71em;
}
.ML__latex .ML__llap,
.ML__latex .ML__rlap {
  width: 0;
  position: relative;
  display: inline-block;
}
.ML__latex .ML__llap > .ML__inner,
.ML__latex .ML__rlap > .ML__inner {
  position: absolute;
}
.ML__latex .ML__llap > .ML__fix,
.ML__latex .ML__rlap > .ML__fix {
  display: inline-block;
}
.ML__latex .ML__llap > .ML__inner {
  right: 0;
}
.ML__latex .ML__rlap > .ML__inner {
  left: 0;
}
.ML__latex .ML__rule {
  display: inline-block;
  border: solid 0;
  position: relative;
  box-sizing: border-box;
}
.ML__latex .overline .overline-line,
.ML__latex .underline .underline-line {
  width: 100%;
}
.ML__latex .overline .overline-line:before,
.ML__latex .underline .underline-line:before {
  content: '';
  border-bottom-style: solid;
  border-bottom-width: max(1px, 0.04em);
  -webkit-print-color-adjust: exact;
  print-color-adjust: exact;
  display: block;
}
.ML__latex .overline .overline-line:after,
.ML__latex .underline .underline-line:after {
  border-bottom-style: solid;
  border-bottom-width: max(1px, 0.04em);
  -webkit-print-color-adjust: exact;
  print-color-adjust: exact;
  content: '';
  display: block;
  margin-top: -1px;
}
.ML__latex .ML__stretchy {
  display: block;
  position: absolute;
  width: 100%;
  left: 0;
  overflow: hidden;
}
.ML__latex .ML__stretchy:before,
.ML__latex .ML__stretchy:after {
  content: '';
}
.ML__latex .ML__stretchy svg {
  display: block;
  position: absolute;
  width: 100%;
  height: inherit;
  fill: currentColor;
  stroke: currentColor;
  fill-rule: nonzero;
  fill-opacity: 1;
  stroke-width: 1;
  stroke-linecap: butt;
  stroke-linejoin: miter;
  stroke-miterlimit: 4;
  stroke-dasharray: none;
  stroke-dashoffset: 0;
  stroke-opacity: 1;
}
.ML__latex .slice-1-of-2 {
  display: inline-flex;
  position: absolute;
  left: 0;
  width: 50.2%;
  overflow: hidden;
}
.ML__latex .slice-2-of-2 {
  display: inline-flex;
  position: absolute;
  right: 0;
  width: 50.2%;
  overflow: hidden;
}
.ML__latex .slice-1-of-3 {
  display: inline-flex;
  position: absolute;
  left: 0;
  width: 25.1%;
  overflow: hidden;
}
.ML__latex .slice-2-of-3 {
  display: inline-flex;
  position: absolute;
  left: 25%;
  width: 50%;
  overflow: hidden;
}
.ML__latex .slice-3-of-3 {
  display: inline-flex;
  position: absolute;
  right: 0;
  width: 25.1%;
  overflow: hidden;
}
.ML__latex .slice-1-of-1 {
  display: inline-flex;
  position: absolute;
  width: 100%;
  left: 0;
  overflow: hidden;
}
.ML__latex .ML__nulldelimiter {
  display: inline-block;
}
.ML__latex .ML__op-group {
  display: inline-block;
}
.ML__latex .ML__op-symbol {
  position: relative;
}
.ML__latex .ML__op-symbol.ML__small-op {
  font-family: KaTeX_Size1;
}
.ML__latex .ML__op-symbol.ML__large-op {
  font-family: KaTeX_Size2;
}
.ML__latex:has(.ML__center_environment),
.ML__latex:has(.ML__multiline_environment),
.ML__latex:has(.ML__align_environment),
.ML__latex:has(.ML__eqnarray_environment),
.ML__latex:has(.ML__gather_environment) {
  width: 100%;
}
.ML__latex .ML__multiline_environment {
  display: inline-flex;
  width: 100%;
}
.ML__latex .ML__center_environment {
  display: inline-flex;
  width: 100%;
  justify-content: center;
}
.ML__latex .ML__align_environment,
.ML__latex .ML__eqnarray_environment,
.ML__latex .ML__gather_environment {
  display: inline-block;
}
.ML__latex .ML__mtable .ML__vertical-separator {
  display: inline-block;
  min-width: 1px;
  box-sizing: border-box;
}
.ML__latex .ML__mtable .ML__arraycolsep {
  display: inline-block;
}
.ML__latex .ML__mtable .col-align-m > .ML__vlist-t {
  text-align: center;
}
.ML__latex .ML__mtable .col-align-c > .ML__vlist-t {
  text-align: center;
}
.ML__latex .ML__mtable .col-align-l > .ML__vlist-t {
  text-align: left;
}
.ML__latex .ML__mtable .col-align-r > .ML__vlist-t {
  text-align: right;
}
[data-href] {
  cursor: pointer;
}
.ML__error {
  display: inline-block;
  background-image: radial-gradient(ellipse at center, hsl(341, 100%, 40%), rgba(0, 0, 0, 0) 70%);
  background-color: hsla(341, 100%, 40%, 0.1);
  background-repeat: repeat-x;
  background-size: 3px 3px;
  padding-bottom: 3px;
  background-position: 0 100%;
}
.ML__error > .ML__error {
  background: transparent;
  padding: 0;
}
.ML__placeholder {
  color: var(--_placeholder-color);
  opacity: var(--_placeholder-opacity);
  padding-left: 0.4ex;
  padding-right: 0.4ex;
  font-family: system-ui, -apple-system, BlinkMacSystemFont, 'Segoe UI', 'Roboto', 'Oxygen', 'Ubuntu', 'Cantarell', 'Fira Sans', 'Droid Sans', 'Helvetica Neue', sans-serif;
}
.ML__notation {
  position: absolute;
  box-sizing: border-box;
  line-height: 0;
}
/* This class is used to implement the \`\\mathtip\` and \`\\texttip\` commands
   For UI elements, see \`[data-ML__tooltip]\`
*/
.ML__tooltip-container {
  position: relative;
  transform: scale(0);
}
.ML__tooltip-container .ML__tooltip-content {
  position: fixed;
  display: inline-table;
  visibility: hidden;
  z-index: 2;
  width: max-content;
  max-width: 400px;
  padding: 12px 12px;
  border: var(--_tooltip-border);
  border-radius: var(--_tooltip-border-radius);
  background: var(--_tooltip-background-color);
  --_selection-color: var(--_tooltip-color);
  color: var(--_tooltip-color);
  box-shadow: var(--_tooltip-box-shadow);
  opacity: 0;
  transition: opacity 0.15s cubic-bezier(0.4, 0, 1, 1);
}
.ML__tooltip-container .ML__tooltip-content .ML__text {
  white-space: normal;
}
.ML__tooltip-container .ML__tooltip-content .ML__base {
  display: contents;
}
.ML__tooltip-container:hover .ML__tooltip-content {
  visibility: visible;
  opacity: 1;
  font-size: 0.75em;
  transform: scale(1) translate(0, 3em);
}
.ML__bg {
  background-color: transparent !important;
}
.ML__bg::before {
  content: '';
  position: absolute;
  top: 0;
  left: 0;
  right: 0;
  bottom: 0;
  background-color: var(--bg-color);
  z-index: -1;
  box-sizing: border-box;
}
`;var J0=`#mathlive-environment-popover.is-visible {
  visibility: visible;
}
#mathlive-environment-popover {
  --_environment-panel-height: var(--environment-panel-height, 70px);
  --_accent-color: var(--accent-color, #aaa);
  --_background: var(--environment-panel-background, #fff);
  --_button-background: var(--environment-panel-button-background, white);
  --_button-background-hover: var(--environment-panel-button-background-hover, #f5f5f7);
  --_button-background-active: var(--environment-panel-button-background-active, #f5f5f7);
  --_button-text: var(--environment-panel-button-text, #e3e4e8);
  position: absolute;
  width: calc(var(--_environment-panel-height) * 2);
  height: var(--_environment-panel-height);
  border-radius: 4px;
  border: 1.5px solid var(--_accent-color);
  background-color: var(--_background);
  box-shadow: 0 0 30px 0 var(--environment-shadow, rgba(0, 0, 0, 0.4));
  pointer-events: all;
  visibility: hidden;
}
#mathlive-environment-popover .MLEP__array-buttons {
  height: calc(var(--_environment-panel-height) * 5/4);
  width: calc(var(--_environment-panel-height) * 5/4);
  margin-left: calc(0px - var(--_environment-panel-height) * 0.16);
  margin-top: calc(0px - var(--_environment-panel-height) * 0.19);
}
#mathlive-environment-popover .MLEP__array-buttons .font {
  fill: white;
}
#mathlive-environment-popover .MLEP__array-buttons circle {
  fill: #7f7f7f;
  transition: fill 300ms;
}
#mathlive-environment-popover .MLEP__array-buttons .MLEP__array-insert-background {
  fill-opacity: 1;
  fill: var(--_background);
  stroke: var(--_accent-color);
  stroke-width: 3px;
}
#mathlive-environment-popover .MLEP__array-buttons line {
  stroke: var(--_accent-color);
  stroke-opacity: 0;
  stroke-width: 40;
  pointer-events: none;
  transition: stroke-opacity 300ms;
  stroke-linecap: round;
}
#mathlive-environment-popover .MLEP__array-buttons g[data-command]:hover circle {
  fill: var(--_accent-color);
}
#mathlive-environment-popover .MLEP__array-buttons g[data-command]:hover line {
  stroke-opacity: 1;
}
#mathlive-environment-popover .MLEP__environment-delimiter-controls {
  height: 100%;
  width: 50%;
}
#mathlive-environment-popover .MLEP__environment-delimiter-controls .MLEP__array-delimiter-options {
  width: var(--_environment-panel-height);
  height: var(--_environment-panel-height);
  display: flex;
  flex-wrap: wrap;
  flex-direction: row;
  justify-content: space-around;
}
#mathlive-environment-popover .MLEP__environment-delimiter-controls .MLEP__array-delimiter-options svg {
  pointer-events: all;
  margin-top: 2px;
  width: calc(var(--_environment-panel-height) / 3 * 28 / 24);
  height: calc(var(--_environment-panel-height) / 3 - 2px);
  border-radius: calc(var(--_environment-panel-height) / 25);
  background-color: var(--_button-background);
}
#mathlive-environment-popover .MLEP__environment-delimiter-controls .MLEP__array-delimiter-options svg:hover {
  background-color: var(--_button-background-hover);
}
#mathlive-environment-popover .MLEP__environment-delimiter-controls .MLEP__array-delimiter-options svg path,
#mathlive-environment-popover .MLEP__environment-delimiter-controls .MLEP__array-delimiter-options svg line {
  stroke: var(--_button-text);
  stroke-width: 2;
  stroke-linecap: round;
}
#mathlive-environment-popover .MLEP__environment-delimiter-controls .MLEP__array-delimiter-options svg rect,
#mathlive-environment-popover .MLEP__environment-delimiter-controls .MLEP__array-delimiter-options svg path {
  fill-opacity: 0;
}
#mathlive-environment-popover .MLEP__environment-delimiter-controls .MLEP__array-delimiter-options svg.active {
  pointer-events: none;
  background-color: var(--_button-background-active);
}
#mathlive-environment-popover .MLEP__environment-delimiter-controls .MLEP__array-delimiter-options svg.active path,
#mathlive-environment-popover .MLEP__environment-delimiter-controls .MLEP__array-delimiter-options svg.active line {
  stroke: var(--_accent-color);
}
#mathlive-environment-popover .MLEP__environment-delimiter-controls .MLEP__array-delimiter-options svg.active circle {
  fill: var(--_accent-color);
}
`;var G0=`/* The element that display info while in latex mode */
#mathlive-suggestion-popover {
  --_suggestion-zindex: var(--suggestion-zindex, 100);
  background-color: rgba(97, 97, 97);
  color: #fff;
  text-align: center;
  border-radius: 8px;
  position: fixed;
  z-index: var(--_suggestion-zindex);
  display: none;
  flex-direction: column;
  justify-content: center;
  box-shadow: 0 14px 28px rgba(0, 0, 0, 0.25), 0 10px 10px rgba(0, 0, 0, 0.22);
}
#mathlive-suggestion-popover.top-tip::after {
  content: '';
  position: absolute;
  top: -15px;
  left: calc(50% - 15px);
  width: 0;
  height: 0;
  border-left: 15px solid transparent;
  border-right: 15px solid transparent;
  border-bottom: 15px solid rgba(97, 97, 97);
  font-size: 1rem;
}
#mathlive-suggestion-popover.bottom-tip::after {
  content: '';
  position: absolute;
  bottom: -15px;
  left: calc(50% - 15px);
  width: 0;
  height: 0;
  border-left: 15px solid transparent;
  border-right: 15px solid transparent;
  border-top: 15px solid rgba(97, 97, 97);
  font-size: 1rem;
}
#mathlive-suggestion-popover.is-animated {
  transition: all 0.2s cubic-bezier(0.64, 0.09, 0.08, 1);
  animation: ML__fade-in cubic-bezier(0, 0, 0.2, 1) 0.15s;
}
#mathlive-suggestion-popover.is-visible {
  display: flex;
}
@keyframes ML__fade-in {
  from {
    opacity: 0;
  }
  to {
    opacity: 1;
  }
}
/* The wrapper class for the entire content of the popover panel */
#mathlive-suggestion-popover ul {
  display: flex;
  flex-flow: column;
  list-style: none;
  margin: 0;
  padding: 0;
  align-items: flex-start;
  max-height: 400px;
  overflow-y: auto;
}
#mathlive-suggestion-popover li {
  display: flex;
  flex-direction: row;
  justify-content: space-between;
  margin: 8px;
  padding: 8px;
  width: calc(100% - 16px - 16px);
  column-gap: 1em;
  border-radius: 8px;
  cursor: pointer;
  /* Since the content can be clicked on, provide feedback on hover */
}
#mathlive-suggestion-popover li a {
  color: #5ea6fd;
  padding-top: 0.3em;
  margin-top: 0.4em;
  display: block;
}
#mathlive-suggestion-popover li a:hover {
  color: #5ea6fd;
  text-decoration: underline;
}
#mathlive-suggestion-popover li:hover,
#mathlive-suggestion-popover li.is-pressed,
#mathlive-suggestion-popover li.is-active {
  background: rgba(255, 255, 255, 0.1);
}
/* The command inside a popover (inside a #mathlive-suggestion-popover) */
.ML__popover__command {
  font-size: 1.6rem;
  font-family: KaTeX_Main;
}
.ML__popover__current {
  background: #5ea6fd;
  color: #fff;
}
.ML__popover__latex {
  font-family: 'IBM Plex Mono', 'Source Code Pro', Consolas, 'Roboto Mono', Menlo, 'Bitstream Vera Sans Mono', 'DejaVu Sans Mono', Monaco, Courier, monospace;
  align-self: center;
}
/* The keyboard shortcuts for a symbol as displayed in the popover */
.ML__popover__keybinding {
  font-family: system-ui, -apple-system, BlinkMacSystemFont, 'Segoe UI', 'Roboto', 'Oxygen', 'Ubuntu', 'Cantarell', 'Fira Sans', 'Droid Sans', 'Helvetica Neue', sans-serif;
  font-size: 0.8em;
  opacity: 0.7;
}
/* Style for the character that joins the modifiers of a keyboard shortcut 
(usually a "+" sign)*/
.ML__shortcut-join {
  opacity: 0.5;
}
`;var X0=`/* The element that displays the keys as the user type them */
#mathlive-keystroke-caption-panel {
  visibility: hidden;
  /*min-width: 160px;*/
  /*background-color: rgba(97, 97, 200, .95);*/
  background: var(--secondary, hsl(var(--_hue), 19%, 26%));
  border-color: var(--secondary-border, hsl(0, 0%, 91%));
  box-shadow: 0 3px 6px rgba(0, 0, 0, 0.16), 0 3px 6px rgba(0, 0, 0, 0.23);
  text-align: center;
  border-radius: 6px;
  padding: 16px;
  position: absolute;
  z-index: 1;
  display: flex;
  flex-direction: row-reverse;
  justify-content: center;
  --keystroke: white;
  --on-keystroke: #555;
  --keystroke-border: #f7f7f7;
}
@media (prefers-color-scheme: dark) {
  body:not([theme='light']) #mathlive-keystroke-caption-panel {
    --keystroke: hsl(var(--_hue), 50%, 30%);
    --on-keystroke: hsl(0, 0%, 98%);
    --keystroke-border: hsl(var(--_hue), 50%, 25%);
  }
}
body[theme='dark'] #mathlive-keystroke-caption-panel {
  --keystroke: hsl(var(--_hue), 50%, 30%);
  --on-keystroke: hsl(0, 0%, 98%);
  --keystroke-border: hsl(var(--_hue), 50%, 25%);
}
#mathlive-keystroke-caption-panel > span {
  min-width: 14px;
  /*height: 8px;*/
  margin: 0 8px 0 0;
  padding: 4px;
  background-color: var(--keystroke);
  color: var(--on-keystroke);
  fill: currentColor;
  font-family: system-ui, -apple-system, BlinkMacSystemFont, 'Segoe UI', 'Roboto', 'Oxygen', 'Ubuntu', 'Cantarell', 'Fira Sans', 'Droid Sans', 'Helvetica Neue', sans-serif;
  font-size: 1em;
  border-radius: 6px;
  border: 2px solid var(--keystroke-border);
  /*box-shadow: 0 7px 14px rgba(0,0,0,0.25), 0 5px 5px rgba(0,0,0,0.22);*/
}
`;var Z0=`.ML__keyboard {
  --_keyboard-height: 0;
  --_keyboard-zindex: var(--keyboard-zindex, 105);
  --_accent-color: var(--keyboard-accent-color, #0c75d8);
  --_background: var(--keyboard-background, #cacfd7);
  --_border: var(--keyboard-border, #ddd);
  --_padding-horizontal: var(--keyboard-padding-horizontal, 0px);
  --_padding-top: var(--keyboard-padding-top, 5px);
  --_padding-bottom: var(--keyboard-padding-bottom, 0px);
  --_row-padding-left: var(--keyboard-row-padding-left, 0px);
  --_row-padding-right: var(--keyboard-row-padding-right, 0px);
  --_toolbar-text: var(--keyboard-toolbar-text, #2c2e2f);
  --_toolbar-text-active: var(--keyboard-toolbar-text-active, var(--_accent-color));
  --_toolbar-background: var(--keyboard-toolbar-background, transparent);
  --_toolbar-background-hover: var(--keyboard-toolbar-background-hover, #eee);
  --_toolbar-background-selected: var(--keyboard-toolbar-background-selected, transparent);
  --_toolbar-font-size: var(--keyboard-toolbar-font-size, '135%');
  --_horizontal-rule: var(--keyboard-horizontal-rule, 1px solid #fff);
  --_keycap-background: var(--keycap-background, #f0f0f0);
  --_keycap-background-hover: var(--keycap-background-hover, #f5f5f7);
  --_keycap-background-active: var(--keycap-background-active, var(--_accent-color));
  --_keycap-background-pressed: var(--keycap-background-pressed, var(--_accent-color));
  --_keycap-border: var(--keycap-border, #e5e6e9);
  --_keycap-border-bottom: var(--keycap-border-bottom, #8d8f92);
  --_keycap-text: var(--keycap-text, #000);
  --_keycap-text-active: var(--keycap-text-active, #fff);
  --_keycap-text-hover: var(--keycap-text-hover, var(--_keycap-text));
  --_keycap-text-pressed: var(--keycap-text-pressed, #fff);
  --_keycap-shift-text: var(--keycap-shift-text, var(--_accent-color));
  --_keycap-primary-background: var(--keycap-primary-background, var(--_accent-color));
  --_keycap-primary-text: var(--keycap-primary-text, #ddd);
  --_keycap-primary-background-hover: var(--keycap-primary-background-hover, #0d80f2);
  --_keycap-secondary-background: var(--keycap-secondary-background, #a0a9b8);
  --_keycap-secondary-background-hover: var(--keycap-secondary-background-hover, #7d8795);
  --_keycap-secondary-text: var(--keycap-secondary-text, #060707);
  --_keycap-secondary-border: var(--keycap-secondary-border, #c5c9d0);
  --_keycap-secondary-border-bottom: var(--keycap-secondary-border-bottom, #989da6);
  --_keycap-height: var(--keycap-height, 60px);
  /* Keycap width (incl. margin) */
  --_keycap-max-width: var(--keycap-max-width, 100px);
  --_keycap-gap: var(--keycap-gap, 8px);
  --_keycap-font-size: var(--keycap-font-size, clamp(16px, 4cqw, 24px));
  --_keycap-small-font-size: var(--keycap-small-font-size, calc(var(--keycap-font-size) * 0.8));
  --_keycap-extra-small-font-size: var(--keycap-extra-small-font-size, calc(var(--keycap-font-size) / 1.42));
  --_variant-panel-background: var(--variant-panel-background, #f0f0f0);
  --_variant-keycap-text: var(--variant-keycap-text, var(--_keycap-text));
  --_variant-keycap-text-active: var(--variant-keycap-text-active, var(--_keycap-text-active));
  --_variant-keycap-background-active: var(--variant-keycap-background-active, var(--_accent-color));
  --_variant-keycap-length: var(--variant-keycap-length, 70px);
  --_variant-keycap-font-size: var(--variant-keycap-font-size, 30px);
  --_variant-keycap-aside-font-size: var(--variant-keycap-aside-font-size, 12px);
  --_keycap-shift-font-size: var(--keycap-shift-font-size, 16px);
  --_keycap-shift-color: var(--keycap-shift-color, var(--_accent-color));
  --_box-placeholder-color: var(--box-placeholder-color, var(--_accent-color));
  --_box-placeholder-pressed-color: var(--box-placeholder-pressed-color, var(--keycap-text-pressed));
  --_keycap-glyph-size: var(--keycap-glyph-size, 20px);
  --_keycap-glyph-size-lg: var(--keycap-glyph-size-lg, 24px);
  --_keycap-glyph-size-xl: var(--keycap-glyph-size-xl, 50px);
}
.is-math-mode .MLK__rows .if-text-mode,
.is-text-mode .MLK__rows .if-math-mode {
  display: none;
}
.if-can-undo,
.if-can-redo,
.if-can-copy,
.if-can-cut,
.if-can-paste {
  opacity: 0.4;
  pointer-events: none;
}
.can-undo .if-can-undo,
.can-redo .if-can-redo,
.can-copy .if-can-copy,
.can-cut .if-can-cut,
.can-paste .if-can-paste {
  opacity: 1;
  pointer-events: all;
}
body > .ML__keyboard {
  position: fixed;
  --_padding-bottom: calc(var(--keyboard-padding-bottom, 0px) + env(safe-area-inset-bottom, 0));
}
body > .ML__keyboard.is-visible > .MLK__backdrop {
  box-shadow: 0 -5px 6px rgba(0, 0, 0, 0.08);
  border-top: 1px solid var(--_border);
}
body > .ML__keyboard.backdrop-is-transparent.is-visible > .MLK__backdrop {
  box-shadow: none;
  border: none;
}
body > .ML__keyboard.is-visible.animate > .MLK__backdrop {
  transition: 0.28s cubic-bezier(0, 0, 0.2, 1);
  transition-property: transform, opacity;
  transition-timing-function: cubic-bezier(0.4, 0, 1, 1);
}
.ML__keyboard {
  position: relative;
  overflow: hidden;
  top: 0;
  left: 0;
  height: 100%;
  width: 100%;
  z-index: var(--_keyboard-zindex);
  box-sizing: border-box;
  outline: none;
  border: none;
  margin: 0;
  padding: 0;
  line-height: 1;
  overflow-wrap: unset;
  text-align: left;
  vertical-align: baseline;
  cursor: auto;
  white-space: pre;
  box-shadow: none;
  opacity: 1;
  transform: none;
  pointer-events: none;
}
.ML__keyboard :where(div) {
  box-sizing: border-box;
  outline: none;
  border: none;
  margin: 0;
  padding: 0;
  line-height: 1;
  overflow-wrap: unset;
  text-align: left;
  vertical-align: baseline;
  cursor: auto;
  white-space: pre;
  box-shadow: none;
  transform: none;
}
.MLK__backdrop {
  position: absolute;
  bottom: calc(-1 * var(--_keyboard-height));
  width: 100%;
  height: var(--_keyboard-height);
  box-sizing: border-box;
  padding-top: var(--_padding-top);
  padding-bottom: var(--_padding-bottom);
  padding-left: var(--_padding-horizontal);
  padding-right: var(--_padding-horizontal);
  opacity: 0;
  visibility: hidden;
  transform: translate(0, 0);
  background: var(--_background);
}
.backdrop-is-transparent .MLK__backdrop {
  background: transparent;
}
/* If a custom layout has a custom container/backdrop
  (backdrop-is-transparent), make sure to let pointer event go through. */
.backdrop-is-transparent .MLK__plate {
  background: transparent;
  pointer-events: none;
}
/* If a custom layout has a custom container/backdrop, make sure to 
   allow pointer events on it. */
.backdrop-is-transparent .MLK__layer > div > div {
  pointer-events: all;
}
.ML__keyboard.is-visible > .MLK__backdrop {
  transform: translate(0, calc(-1 * var(--_keyboard-height)));
  opacity: 1;
  visibility: visible;
}
.caps-lock-indicator {
  display: none;
  width: 8px;
  height: 8px;
  background: #0cbc0c;
  box-shadow: inset 0 0 4px 0 #13ca13, 0 0 4px 0 #a9ef48;
  border-radius: 8px;
  right: 8px;
  top: 8px;
  position: absolute;
}
.ML__keyboard.is-caps-lock .caps-lock-indicator {
  display: block;
}
.ML__keyboard.is-caps-lock .shift {
  background: var(--_keycap-background-active);
  color: var(--_keycap-text-active);
}
.MLK__plate {
  position: absolute;
  top: var(--_padding-top);
  left: var(--_padding-horizontal);
  width: calc(100% - 2 * var(--_padding-horizontal));
  margin: 0;
  padding: 0;
  box-sizing: border-box;
  container-type: inline-size;
  touch-action: none;
  -webkit-user-select: none;
  user-select: none;
  pointer-events: all;
  font-family: system-ui, -apple-system, BlinkMacSystemFont, 'Segoe UI', 'Roboto', 'Oxygen', 'Ubuntu', 'Cantarell', 'Fira Sans', 'Droid Sans', 'Helvetica Neue', sans-serif;
  font-size: 16px;
  /* Size of toolbar labels */
  font-weight: 400;
  text-shadow: none;
}
.ML__box-placeholder {
  color: var(--_box-placeholder-color);
}
.MLK__tex {
  font-family: KaTeX_Main, KaTeX_Math, 'Cambria Math', 'Asana Math', OpenSymbol, Symbola, STIX, Times, serif !important;
}
.MLK__tex-math {
  font-family: KaTeX_Math, KaTeX_Main, 'Cambria Math', 'Asana Math', OpenSymbol, Symbola, STIX, Times, serif !important;
  font-style: italic;
}
.MLK__layer {
  display: none;
  outline: none;
}
.MLK__layer.is-visible {
  display: flex;
  flex-flow: column;
}
/* Keyboard layouts are made or rows of keys... */
.MLK__rows {
  --_keycap-width: var(--keycap-width, min(var(--_keycap-max-width), 10cqw));
  display: flex;
  flex-flow: column;
  align-items: center;
  border-collapse: separate;
  clear: both;
  border: 0;
  margin: 0;
  margin-bottom: var(--_keycap-gap);
  gap: var(--_keycap-gap);
  /* If the styling include, e.g., some shadows, they will be
  cut off by the overflow. In that case, set the padding to 
  compensate. */
  padding-left: var(--_row-padding-left);
  padding-right: var(--_row-padding-right);
  overflow: visible;
  touch-action: none;
}
.MLK__rows > .MLK__row {
  display: flex;
  flex-flow: row;
  justify-content: center;
  width: 100%;
  gap: var(--_keycap-gap);
  margin: 0;
  padding: 0;
  /* For the alignment of the text on some modifiers (e.g. shift) */
  /* Extra spacing between two adjacent keys */
}
.MLK__rows > .MLK__row .tex {
  font-family: KaTeX_Math, KaTeX_Main, 'Cambria Math', 'Asana Math', OpenSymbol, Symbola, STIX, Times, serif !important;
}
.MLK__rows > .MLK__row .tex-math {
  font-family: KaTeX_Math, 'Cambria Math', 'Asana Math', OpenSymbol, Symbola, STIX, Times, serif !important;
}
.MLK__rows > .MLK__row .big-op {
  font-size: calc(1.25 * var(--_keycap-font-size));
}
.MLK__rows > .MLK__row .small {
  font-size: var(--_keycap-small-font-size);
}
.MLK__rows > .MLK__row .bottom {
  justify-content: flex-end;
}
.MLK__rows > .MLK__row .left {
  align-items: flex-start;
  padding-left: 12px;
}
.MLK__rows > .MLK__row .right {
  align-items: flex-end;
  padding-right: 12px;
}
.MLK__rows > .MLK__row .w0 {
  width: 0;
}
.MLK__rows > .MLK__row .w5 {
  width: calc(0.5 * var(--_keycap-width) - var(--_keycap-gap));
}
.MLK__rows > .MLK__row .w15 {
  width: calc(1.5 * var(--_keycap-width) - var(--_keycap-gap));
}
.MLK__rows > .MLK__row .w20 {
  width: calc(2 * var(--_keycap-width) - var(--_keycap-gap));
}
.MLK__rows > .MLK__row .w40 {
  width: calc(4 * var(--_keycap-width) - var(--_keycap-gap));
}
.MLK__rows > .MLK__row .w50 {
  width: calc(5 * var(--_keycap-width) - var(--_keycap-gap));
}
.MLK__rows > .MLK__row .MLK__keycap.w50 {
  font-size: 80%;
  padding-top: 10px;
  font-weight: 100;
}
.MLK__rows > .MLK__row .separator {
  background: transparent;
  border: none;
  pointer-events: none;
}
.MLK__rows > .MLK__row .horizontal-rule {
  height: 6px;
  margin-top: 3px;
  margin-bottom: 0;
  width: 100%;
  border-radius: 0;
  border-top: var(--_horizontal-rule);
}
.MLK__rows > .MLK__row .ghost {
  background: var(--_toolbar-background);
  border: none;
  color: var(--_toolbar-text);
}
.MLK__rows > .MLK__row .ghost:hover {
  background: var(--_toolbar-background-hover);
}
.MLK__rows > .MLK__row .bigfnbutton {
  font-size: var(--_keycap-extra-small-font-size);
}
.MLK__rows > .MLK__row .shift,
.MLK__rows > .MLK__row .action {
  color: var(--_keycap-secondary-text);
  background: var(--_keycap-secondary-background);
  border-color: var(--_keycap-secondary-border);
  border-bottom-color: var(--_keycap-secondary-border-bottom);
  line-height: 0.8;
  font-size: min(1rem, var(--_keycap-small-font-size));
  font-weight: 600;
  padding: 8px 12px 8px 12px;
}
.MLK__rows > .MLK__row .shift:hover,
.MLK__rows > .MLK__row .action:hover {
  background: var(--_keycap-secondary-background-hover);
}
.MLK__rows > .MLK__row .action.primary {
  background: var(--_keycap-primary-background);
  color: var(--_keycap-primary-text);
}
.MLK__rows > .MLK__row .action.primary:hover {
  background: var(--_keycap-primary-background-hover);
  color: var(--_keycap-primary-text);
}
.MLK__rows > .MLK__row .shift.selected,
.MLK__rows > .MLK__row .action.selected {
  color: var(--_toolbar-text-active);
}
.MLK__rows > .MLK__row .shift.selected.is-pressed,
.MLK__rows > .MLK__row .action.selected.is-pressed,
.MLK__rows > .MLK__row .shift.selected.is-active,
.MLK__rows > .MLK__row .action.selected.is-active {
  color: white;
}
.MLK__rows > .MLK__row .warning {
  background: #cd0030;
  color: white;
}
.MLK__rows > .MLK__row .warning svg.svg-glyph {
  width: var(--_keycap-glyph-size-lg);
  height: var(--_keycap-glyph-size-lg);
  min-height: var(--_keycap-glyph-size-lg);
}
/** A regular keycap
 * Use the :where() pseudo-class to give it a very low specifity, 
 * so that it can be overriden by custom style.
 */
:where(.MLK__rows > .MLK__row div) {
  display: flex;
  flex-flow: column;
  align-items: center;
  justify-content: space-evenly;
  width: calc(var(--_keycap-width) - var(--_keycap-gap));
  height: var(--_keycap-height);
  box-sizing: border-box;
  padding: 0;
  vertical-align: top;
  text-align: center;
  float: left;
  color: var(--_keycap-text);
  fill: currentColor;
  font-size: var(--_keycap-font-size);
  background: var(--_keycap-background);
  border: 1px solid var(--_keycap-border);
  border-bottom-color: var(--_keycap-border-bottom);
  border-radius: 6px;
  cursor: pointer;
  touch-action: none;
  /* Keys with a variants panel */
  position: relative;
  overflow: hidden;
  -webkit-user-select: none;
  user-select: none;
  -webkit-tap-highlight-color: transparent;
}
:where(.MLK__rows > .MLK__row div):hover {
  overflow: visible;
  background: var(--_keycap-background-hover);
  color: var(--_keycap-text-hover);
}
:where(.MLK__rows > .MLK__row div) .ML__latex {
  pointer-events: none;
  touch-action: none;
}
:where(.MLK__rows > .MLK__row div) svg.svg-glyph {
  margin: 8px 0;
  width: var(--_keycap-glyph-size);
  height: var(--_keycap-glyph-size);
  min-height: var(--_keycap-glyph-size);
}
:where(.MLK__rows > .MLK__row div) svg.svg-glyph-lg {
  margin: 8px 0;
  width: var(--_keycap-glyph-size-lg);
  height: var(--_keycap-glyph-size-lg);
  min-height: var(--_keycap-glyph-size-lg);
}
:where(.MLK__rows > .MLK__row div).MLK__tex-math {
  font-size: 25px;
}
:where(.MLK__rows > .MLK__row div).is-pressed {
  background: var(--_keycap-background-pressed);
  color: var(--_keycap-text-pressed);
  --_box-placeholder-color: var(--_box-placeholder-pressed-color);
}
:where(.MLK__rows > .MLK__row div).MLK__keycap.is-active,
:where(.MLK__rows > .MLK__row div).action.is-active,
:where(.MLK__rows > .MLK__row div).MLK__keycap.is-pressed,
:where(.MLK__rows > .MLK__row div).action.is-pressed {
  z-index: calc(var(--_keyboard-zindex) - 5);
}
:where(.MLK__rows > .MLK__row div).MLK__keycap.is-active aside,
:where(.MLK__rows > .MLK__row div).action.is-active aside,
:where(.MLK__rows > .MLK__row div).MLK__keycap.is-pressed aside,
:where(.MLK__rows > .MLK__row div).action.is-pressed aside {
  display: none;
}
:where(.MLK__rows > .MLK__row div).MLK__keycap.is-active .MLK__shift,
:where(.MLK__rows > .MLK__row div).action.is-active .MLK__shift,
:where(.MLK__rows > .MLK__row div).MLK__keycap.is-pressed .MLK__shift,
:where(.MLK__rows > .MLK__row div).action.is-pressed .MLK__shift {
  display: none;
}
:where(.MLK__rows > .MLK__row div).shift.is-pressed,
:where(.MLK__rows > .MLK__row div).MLK__keycap.is-pressed,
:where(.MLK__rows > .MLK__row div).action.is-pressed {
  background: var(--_keycap-background-pressed);
  color: var(--_keycap-text-pressed);
}
:where(.MLK__rows > .MLK__row div).shift.is-active,
:where(.MLK__rows > .MLK__row div).MLK__keycap.is-active,
:where(.MLK__rows > .MLK__row div).action.is-active {
  background: var(--_keycap-background-active);
  color: var(--_keycap-text-active);
  --_box-placeholder-color: var(--_box-placeholder-pressed-color);
}
:where(.MLK__rows > .MLK__row div) small {
  color: var(--_keycap-secondary-text);
}
:where(.MLK__rows > .MLK__row div) aside {
  font-family: system-ui, -apple-system, BlinkMacSystemFont, 'Segoe UI', 'Roboto', 'Oxygen', 'Ubuntu', 'Cantarell', 'Fira Sans', 'Droid Sans', 'Helvetica Neue', sans-serif;
  font-size: 10px;
  line-height: 10px;
  color: var(--_keycap-secondary-text);
}
/* Add an attribute 'data-tooltip' to display a tooltip on hover.
Note there are a different set of tooltip rules for the keyboard toggle
(it's in a different CSS tree) */
.ML__keyboard [data-tooltip] {
  position: relative;
}
.ML__keyboard [data-tooltip]::after {
  position: absolute;
  display: inline-table;
  content: attr(data-tooltip);
  top: inherit;
  bottom: 100%;
  width: max-content;
  max-width: 200px;
  padding: 8px 8px;
  background: #616161;
  color: #fff;
  text-align: center;
  z-index: 2;
  box-shadow: 0 2px 2px 0 rgba(0, 0, 0, 0.14), 0 1px 5px 0 rgba(0, 0, 0, 0.12), 0 3px 1px -2px rgba(0, 0, 0, 0.2);
  border-radius: 2px;
  font-family: system-ui, -apple-system, BlinkMacSystemFont, 'Segoe UI', 'Roboto', 'Oxygen', 'Ubuntu', 'Cantarell', 'Fira Sans', 'Droid Sans', 'Helvetica Neue', sans-serif;
  font-weight: 400;
  font-size: 12px;
  transition: all 0.15s cubic-bezier(0.4, 0, 1, 1) 1s;
  opacity: 0;
  transform: scale(0.5);
}
.ML__keyboard [data-tooltip]:hover {
  position: relative;
}
.ML__keyboard [data-tooltip]:hover::after {
  opacity: 1;
  transform: scale(1);
}
.MLK__toolbar {
  align-self: center;
  display: flex;
  flex-flow: row;
  justify-content: space-between;
  width: 100%;
  max-width: 996px;
  min-height: 32px;
  /* Icons for undo/redo, etc. */
}
.MLK__toolbar svg {
  height: 20px;
  width: 20px;
}
.MLK__toolbar > .left {
  position: relative;
  display: flex;
  justify-content: flex-start;
  flex-flow: row;
}
.MLK__toolbar > .right {
  display: flex;
  justify-content: flex-end;
  flex-flow: row;
}
.MLK__toolbar > div > div {
  /* "button" in the toolbar */
  display: flex;
  align-items: center;
  justify-content: center;
  color: var(--_toolbar-text);
  fill: currentColor;
  background: var(--_toolbar-background);
  font-size: var(--_toolbar-font-size);
  padding: 4px 15px;
  cursor: pointer;
  width: max-content;
  min-width: 42px;
  min-height: 34px;
  border: none;
  padding-left: 10px;
  padding-right: 10px;
  padding-bottom: 8px;
  padding-top: 8px;
  margin-top: 0;
  margin-bottom: 4px;
  margin-left: 4px;
  margin-right: 4px;
  border-radius: 8px;
  box-shadow: none;
  border-bottom: 2px solid transparent;
}
.MLK__toolbar > div > div:not(.disabled):not(.selected):hover {
  background: var(--_toolbar-background-hover);
}
.MLK__toolbar > div > div.disabled svg,
.MLK__toolbar > div > div.disabled:hover svg,
.MLK__toolbar > div > div.disabled.is-pressed svg {
  color: var(--_toolbar-text);
  opacity: 0.2;
}
.MLK__toolbar > div > div:hover,
.MLK__toolbar > div > div:active,
.MLK__toolbar > div > div.is-pressed,
.MLK__toolbar > div > div.is-active {
  color: var(--_toolbar-text-active);
}
.MLK__toolbar > div > div.selected {
  color: var(--_toolbar-text-active);
  background: var(--_toolbar-background-selected);
  border-radius: 0;
  border-bottom-color: var(--_toolbar-text-active);
  padding-bottom: 4px;
  margin-bottom: 8px;
}
/* This is the element that displays variants on press+hold */
.MLK__variant-panel {
  visibility: hidden;
  position: fixed;
  display: flex;
  flex-flow: row wrap-reverse;
  justify-content: center;
  align-content: center;
  margin: 0;
  padding: 0;
  bottom: auto;
  top: 0;
  box-sizing: content-box;
  transform: none;
  z-index: calc(var(--_keyboard-zindex) + 1);
  touch-action: none;
  max-width: 350px;
  background: var(--_variant-panel-background);
  text-align: center;
  border-radius: 6px;
  padding: 6px;
  box-shadow: 0 14px 28px rgba(0, 0, 0, 0.25), 0 10px 10px rgba(0, 0, 0, 0.22);
  transition: none;
}
.MLK__variant-panel.is-visible {
  visibility: visible;
}
.MLK__variant-panel.compact {
  --_variant-keycap-length: var(--variant-keycap-length, 50px);
  --_variant-keycap-font-size: var(--variant-keycap-font-size, 24px);
  --_variant-keycap-aside-font-size: var(--variant-keycap-aside-font-size, 10px);
}
.MLK__variant-panel .item {
  display: flex;
  flex-flow: column;
  align-items: center;
  justify-content: center;
  font-size: var(--_variant-keycap-font-size);
  height: var(--_variant-keycap-length);
  width: var(--_variant-keycap-length);
  margin: 0;
  box-sizing: border-box;
  border-radius: 5px;
  border: 1px solid transparent;
  background: transparent;
  pointer-events: all;
  cursor: pointer;
  color: var(--_variant-keycap-text);
  fill: currentColor;
}
@media (max-height: 412px) {
  .MLK__variant-panel .item {
    --_variant-keycap-font-size: var(--variant-keycap-font-size, 24px);
    --_variant-keycap-length: var(--variant-keycap-length, 50px);
  }
}
.MLK__variant-panel .item .ML__latex {
  pointer-events: none;
}
.MLK__variant-panel .item:hover {
  color: var(--_keycap-text-hover);
}
.MLK__variant-panel .item.is-active {
  background: var(--_variant-keycap-background-active);
  color: var(--_variant-keycap-text-active);
  --_box-placeholder-color: var(--_box-placeholder-pressed-color);
}
.MLK__variant-panel .item.is-pressed {
  background: var(--_variant-keycap-background-pressed);
  color: var(--_variant-keycap-text-pressed);
  --_box-placeholder-color: var(--_box-placeholder-pressed-color);
}
.MLK__variant-panel .item.small {
  font-size: var(--_keycap-small-font-size);
}
.MLK__variant-panel .item.swatch-button {
  box-sizing: border-box;
  background: #fbfbfb;
}
.MLK__variant-panel .item.swatch-button > span {
  display: inline-block;
  margin: 6px;
  width: calc(100% - 12px);
  height: calc(100% - 12px);
  border-radius: 50%;
}
.MLK__variant-panel .item.swatch-button:hover {
  background: #f0f0f0;
}
.MLK__variant-panel .item.swatch-button:hover > span {
  border-radius: 2px;
}
.MLK__variant-panel .item.box > div,
.MLK__variant-panel .item.box > span {
  border: 1px dashed rgba(0, 0, 0, 0.24);
}
.MLK__variant-panel .item .warning {
  min-height: 60px;
  min-width: 60px;
  background: #cd0030;
  color: white;
  padding: 5px;
  display: flex;
  align-items: center;
  justify-content: center;
  border-radius: 5px;
}
.MLK__variant-panel .item .warning.is-pressed,
.MLK__variant-panel .item .warning.is-active {
  background: red;
}
.MLK__variant-panel .item .warning svg.svg-glyph {
  width: var(--_keycap-glyph-size-xl);
  height: var(--_keycap-glyph-size-xl);
}
.MLK__variant-panel .item aside {
  font-size: var(--_variant-keycap-aside-font-size);
  line-height: 12px;
  opacity: 0.78;
  padding-top: 2px;
  width: 100%;
  text-align: center;
  text-wrap: wrap;
}
.MLK__keycap {
  position: relative;
}
.MLK__shift {
  display: block;
  position: absolute;
  right: 4px;
  top: 4px;
  font-size: var(--_keycap-shift-font-size);
  color: var(--_keycap-shift-color);
}
.hide-shift .MLK__shift {
  display: none;
}
@media (max-width: 414px) {
  .MLK__variant-panel {
    max-width: 350px;
    --_variant-keycap-font-size: var(--variant-keycap-font-size, 24px);
    --_variant-keycap-length: var(--variant-keycap-length, 50px);
  }
}
/* @xs breakpoint: iPhone 5 */
@container (max-width: 414px) {
  .MLK__rows {
    --_keycap-gap: max(var(--_keycap-gap, 2px), 2px);
    --_keycap-height: var(--keycap-height, 42px);
    --_keycap-width: var(--keycap-width, min(min(var(--_keycap-max-width)), 10cqw), 62px));
  }
  .MLK__toolbar > div > div {
    font-size: 100%;
    margin-left: 2px;
    margin-right: 2px;
  }
  .MLK__rows .shift,
  .MLK__rows .action {
    font-size: 65%;
  }
  .MLK__rows .warning svg.svg-glyph {
    width: 14px;
    height: 14px;
    min-height: 14px;
  }
}
@container (max-width: 744px) {
  .MLK__rows {
    --_keycap-gap: max(var(--keycap-gap, 2px), 2px);
    --_keycap-height: var(--keycap-height, 52px);
    --_keycap-width: var(--keycap-width, min(min(var(--_keycap-max-width), 10cqw), 62px));
  }
  .MLK__toolbar > div > div {
    padding-left: 0;
    padding-right: 0;
  }
  .MLK__tooltip::after {
    padding: 8px 16px;
    font-size: 16px;
  }
  .MLK__rows > .MLK__row > div.fnbutton {
    font-size: 16px;
  }
  .MLK__rows > .MLK__row > div.bigfnbutton {
    font-size: calc(var(--_keycap-extra-small-font-size) / 1.55);
  }
  .MLK__rows > .MLK__row > div.small {
    font-size: 13px;
  }
  .MLK__rows > .MLK__row > div > aside {
    display: none;
  }
  .MLK__shift {
    display: none;
  }
}
/* Medium breakpoint: larger phones */
@container (max-width: 768px) {
  .MLK__rows {
    --_keycap-height: var(--keycap-height, 42px);
  }
  .MLK__rows > .MLK__row > div > small {
    font-size: 14px;
  }
}
@media (max-height: 768px) {
  .MLK__rows {
    --_keycap-height: var(--keycap-height, 42px);
  }
  .MLK__rows > .MLK__row > div > small {
    font-size: 14px;
  }
}
@container (max-width: 1444px) {
  .MLK__rows .if-wide {
    display: none;
  }
}
@media (prefers-color-scheme: dark) {
  .ML__keyboard {
    --_accent-color: var(--keyboard-accent-color, #0b5c9c);
    --_background: var(--keyboard-background, #151515);
    --_border: var(--keyboard-border, transparent);
    --_toolbar-text: var(--keyboard-toolbar-text, #e3e4e8);
    --_toolbar-background-hover: var(--keyboard-toolbar-background-hover, #303030);
    --keyboard-toolbar-background-hover: #303030;
    --_horizontal-rule: var(--keyboard-horizontal-rule, 1px solid #303030);
    --_keycap-background: var(--keycap-background, #1f2022);
    --_keycap-background-hover: var(--keycap-background-hover, #2f3032);
    --_keycap-border: var(--_keycap-border, transparent);
    --_keycap-border-bottom: var(--_keycap-border-bottom, transparent);
    --_keycap-text: var(--keycap-text, #e3e4e8);
    --_keycap-secondary-background: var(--keycap-secondary-background, #3d4144);
    --_keycap-secondary-background-hover: var(--keycap-secondary-background-hover, #4d5154);
    --_keycap-secondary-text: var(--keycap-secondary-text, #e7ebee);
    --keycap-secondary-border: transparent;
    --keycap-secondary-border-bottom: transparent;
    --_keycap-secondary-border: var(--keycap-secondary-border, transparent);
    --_keycap-secondary-border-bottom: var(--keycap-secondary-border-bottom, transparent);
    --_variant-panel-background: var(--variant-panel-background, #303030);
    --_variant-keycap-text-active: var(--variant-keycap-text-active, #fff);
  }
}
/* Same as the media query, but with a class */
[theme='dark'] .ML__keyboard {
  --_accent-color: var(--keyboard-accent-color, #0b5c9c);
  --_background: var(--keyboard-background, #151515);
  --_border: var(--keyboard-border, transparent);
  --_toolbar-text: var(--keyboard-toolbar-text, #e3e4e8);
  --_toolbar-background-hover: var(--keyboard-toolbar-background-hover, #303030);
  --keyboard-toolbar-background-hover: #303030;
  --_horizontal-rule: var(--keyboard-horizontal-rule, 1px solid #303030);
  --_keycap-background: var(--keycap-background, #1f2022);
  --_keycap-background-hover: var(--keycap-background-hover, #2f3032);
  --_keycap-border: var(--_keycap-border, transparent);
  --_keycap-border-bottom: var(--_keycap-border-bottom, transparent);
  --_keycap-text: var(--keycap-text, #e3e4e8);
  --_keycap-secondary-background: var(--keycap-secondary-background, #3d4144);
  --_keycap-secondary-background-hover: var(--keycap-secondary-background-hover, #4d5154);
  --_keycap-secondary-text: var(--keycap-secondary-text, #e7ebee);
  --keycap-secondary-border: transparent;
  --keycap-secondary-border-bottom: transparent;
  --_keycap-secondary-border: var(--keycap-secondary-border, transparent);
  --_keycap-secondary-border-bottom: var(--keycap-secondary-border-bottom, transparent);
  --_variant-panel-background: var(--variant-panel-background, #303030);
  --_variant-keycap-text-active: var(--variant-keycap-text-active, #fff);
}
[theme='light'] .ML__keyboard {
  --_accent-color: var(--keyboard-accent-color, #0c75d8);
  --_background: var(--keyboard-background, #cacfd7);
  --_border: var(--keyboard-border, #ddd);
  --_toolbar-text: var(--keyboard-toolbar-text, #2c2e2f);
  --_toolbar-background: var(--keyboard-toolbar-background, transparent);
  --_toolbar-background-hover: var(--keyboard-toolbar-background-hover, #eee);
  --_toolbar-background-selected: var(--keyboard-toolbar-background-selected, transparent);
  --_horizontal-rule: var(--keyboard-horizontal-rule, 1px solid #fff);
  --_keycap-background: var(--keycap-background, white);
  --_keycap-background-hover: var(--keycap-background-hover, #f5f5f7);
  --_keycap-background-active: var(--keycap-background-active, var(--_accent-color));
  --_keycap-background-pressed: var(--keycap-background-pressed, var(--_accent-color));
  --_keycap-border: var(--_keycap-border, #e5e6e9);
  --_keycap-border-bottom: var(--_keycap-border-bottom, #8d8f92);
  --_keycap-text: var(--keycap-text, #000);
  --_keycap-text-active: var(--keycap-text-active, #fff);
  --_keycap-text-hover: var(--keycap-text-hover, var(--_keycap-text));
  --_keycap-text-pressed: var(--keycap-text-pressed, #fff);
  --_keycap-shift-text: var(--keycap-shift-text, var(--_accent-color));
  --_keycap-secondary-background: var(--keycap-secondary-background, #a0a9b8);
  --_keycap-secondary-background-hover: var(--keycap-secondary-background-hover, #7d8795);
  --_keycap-secondary-text: var(--keycap-secondary-text, #060707);
  --_keycap-secondary-border: var(--keycap-secondary-border, #c5c9d0);
  --_keycap-secondary-border-bottom: var(--keycap-secondary-border-bottom, #989da6);
  --_variant-panel-background: var(--variant-panel-background, #f0f0f0);
  --_variant-keycap-text: var(--variant-keycap-textvar, var(--_keycap-text));
  --_variant-keycap-text-active: var(--variant-keycap-text-active, var(--_keycap-text-active));
  --_variant-keycap-background-active: var(--variant-keycap-background-active, var(--_accent-color));
}
`;var Y0=`:host {
  --primary-color: #5898ff;
  --primary-color-dimmed: #c0c0f0;
  --primary-color-dark: var(--blue-500);
  --primary-color-light: var(--blue-100);
  --primary-color-reverse: #ffffff;
  --secondary-color: #ff8a65;
  --secondary-color-dimmed: #f0d5c5;
  --secondary-color-dark: var(--orange-500);
  --secondary-color-light: var(--orange-100);
  --secondary-color-reverse: #ffffff;
  --link-color: #5898ff;
  --link-color-dimmed: #c5c5c5;
  --link-color-dark: #121212;
  --link-color-light: #e2e2e2;
  --link-color-reverse: #ffffff;
  --semantic-blue: var(--blue-700);
  --semantic-red: var(--red-400);
  --semantic-orange: var(--orange-400);
  --semantic-green: var(--green-700);
  --neutral-100: #f5f5f5;
  --neutral-200: #eeeeee;
  --neutral-300: #e0e0e0;
  --neutral-400: #bdbdbd;
  --neutral-500: #9e9e9e;
  --neutral-600: #757575;
  --neutral-700: #616161;
  --neutral-800: #424242;
  --neutral-900: #212121;
  --red-25: #fff8f7;
  --red-50: #fff1ef;
  --red-100: #ffeae6;
  --red-200: #ffcac1;
  --red-300: #ffa495;
  --red-400: #ff7865;
  --red-500: #f21c0d;
  --red-600: #e50018;
  --red-700: #d30024;
  --red-800: #bd002c;
  --red-900: #a1002f;
  --orange-25: #fffbf8;
  --orange-50: #fff7f1;
  --orange-100: #fff3ea;
  --orange-200: #ffe1c9;
  --orange-300: #ffcca2;
  --orange-400: #ffb677;
  --orange-500: #fe9310;
  --orange-600: #f58700;
  --orange-700: #ea7c00;
  --orange-800: #dc6d00;
  --orange-900: #ca5b00;
  --brown-25: #fff8ef;
  --brown-50: #fff1df;
  --brown-100: #ffe9ce;
  --brown-200: #ebcca6;
  --brown-300: #cdaf8a;
  --brown-400: #af936f;
  --brown-500: #856a47;
  --brown-600: #7f5e34;
  --brown-700: #78511f;
  --brown-800: #6e4200;
  --brown-900: #593200;
  --yellow-25: #fffdf9;
  --yellow-50: #fffcf2;
  --yellow-100: #fffaec;
  --yellow-200: #fff2ce;
  --yellow-300: #ffe8ab;
  --yellow-400: #ffdf85;
  --yellow-500: #ffcf33;
  --yellow-600: #f1c000;
  --yellow-700: #dfb200;
  --yellow-800: #c9a000;
  --yellow-900: #ad8a00;
  --lime-25: #f4ffee;
  --lime-50: #e9ffdd;
  --lime-100: #ddffca;
  --lime-200: #a8fb6f;
  --lime-300: #94e659;
  --lime-400: #80d142;
  --lime-500: #63b215;
  --lime-600: #45a000;
  --lime-700: #268e00;
  --lime-800: #007417;
  --lime-900: #005321;
  --green-25: #f5fff5;
  --green-50: #ebffea;
  --green-100: #e0ffdf;
  --green-200: #a7ffa7;
  --green-300: #5afa65;
  --green-400: #45e953;
  --green-500: #17cf36;
  --green-600: #00b944;
  --green-700: #00a34a;
  --green-800: #008749;
  --green-900: #00653e;
  --teal-25: #f3ffff;
  --teal-50: #e6fffe;
  --teal-100: #d9fffe;
  --teal-200: #8dfffe;
  --teal-300: #57f4f4;
  --teal-400: #43e5e5;
  --teal-500: #17cfcf;
  --teal-600: #00c2c0;
  --teal-700: #00b5b1;
  --teal-800: #00a49e;
  --teal-900: #009087;
  --cyan-25: #f7fcff;
  --cyan-50: #eff8ff;
  --cyan-100: #e7f5ff;
  --cyan-200: #c2e6ff;
  --cyan-300: #95d5ff;
  --cyan-400: #61c4ff;
  --cyan-500: #13a7ec;
  --cyan-600: #069eda;
  --cyan-700: #0095c9;
  --cyan-800: #0088b2;
  --cyan-900: #0a7897;
  --blue-25: #f7faff;
  --blue-50: #eef5ff;
  --blue-100: #e5f1ff;
  --blue-200: #bfdbff;
  --blue-300: #92c2ff;
  --blue-400: #63a8ff;
  --blue-500: #0d80f2;
  --blue-600: #0077db;
  --blue-700: #006dc4;
  --blue-800: #0060a7;
  --blue-900: #005086;
  --indigo-25: #f8f7ff;
  --indigo-50: #f1efff;
  --indigo-100: #eae7ff;
  --indigo-200: #ccc3ff;
  --indigo-300: #ac99ff;
  --indigo-400: #916aff;
  --indigo-500: #63c;
  --indigo-600: #5a21b2;
  --indigo-700: #4e0b99;
  --indigo-800: #3b0071;
  --indigo-900: #220040;
  --purple-25: #fbf7ff;
  --purple-50: #f8f0ff;
  --purple-100: #f4e8ff;
  --purple-200: #e4c4ff;
  --purple-300: #d49aff;
  --purple-400: #c36aff;
  --purple-500: #a219e6;
  --purple-600: #9000c4;
  --purple-700: #7c009f;
  --purple-800: #600073;
  --purple-900: #3d0043;
  --magenta-25: #fff8fb;
  --magenta-50: #fff2f6;
  --magenta-100: #ffebf2;
  --magenta-200: #ffcddf;
  --magenta-300: #ffa8cb;
  --magenta-400: #ff7fb7;
  --magenta-500: #eb4799;
  --magenta-600: #da3689;
  --magenta-700: #c82179;
  --magenta-800: #b00065;
  --magenta-900: #8a004c;
}
@media (prefers-color-scheme: dark) {
  :host {
    --semantic-blue: var(--blue-700);
    --semantic-red: var(--red-400);
    --semantic-orange: var(--orange-400);
    --semantic-green: var(--green-700);
    --semantic-bg-blue: var(--blue-25);
    --semantic-bg-red: var(--red-25);
    --semantic-bg-orange: var(--orange-25);
    --semantic-bg-green: var(--green-25);
    --neutral-100: #121212;
    --neutral-200: #424242;
    --neutral-300: #616161;
    --neutral-400: #757575;
    --neutral-500: #9e9e9e;
    --neutral-600: #bdbdbd;
    --neutral-700: #e0e0e0;
    --neutral-800: #eeeeee;
    --neutral-900: #f5f5f5;
  }
}
:host([theme='dark']) {
  --semantic-blue: var(--blue-700);
  --semantic-red: var(--red-400);
  --semantic-orange: var(--orange-400);
  --semantic-green: var(--green-700);
  --semantic-bg-blue: var(--blue-25);
  --semantic-bg-red: var(--red-25);
  --semantic-bg-orange: var(--orange-25);
  --semantic-bg-green: var(--green-25);
  --neutral-100: #121212;
  --neutral-200: #424242;
  --neutral-300: #616161;
  --neutral-400: #757575;
  --neutral-500: #9e9e9e;
  --neutral-600: #bdbdbd;
  --neutral-700: #e0e0e0;
  --neutral-800: #eeeeee;
  --neutral-900: #f5f5f5;
}
/* @media (prefers-color-scheme: dark) {
  :host {
      --label-color: #fff;
      --active-label-color: #000;
      --menu-bg: #525252;
      --active-bg: #5898ff;
      --active-bg-dimmed: #5c5c5c;
  }
} */
:host {
  --ui-font-family: 'Inter', system-ui, -apple-system, BlinkMacSystemFont, 'Segoe UI', Helvetica, Arial, sans-serif, 'Apple Color Emoji', 'Segoe UI Emoji', 'Segoe UI Symbol';
  --ui-font-size: 14px;
  --ui-line-height: 1.5;
  --ui-letter-spacing: 0.007em;
  --mono-font-family: 'Berkeley Mono', 'JetBrains Mono', 'IBM Plex Mono', 'Source Code Pro', Menlo, Monaco, 'Courier New', monospace;
  --ui-layer-1: var(--neutral-100);
  --ui-layer-2: var(--neutral-200);
  --ui-layer-3: var(--neutral-300);
  --ui-layer-4: var(--neutral-400);
  --ui-layer-5: var(--neutral-500);
  --ui-layer-6: var(--neutral-600);
  --ui-border-color: var(--primary-color);
  --ui-border-radius: 4px;
  --ui-text: var(--neutral-900);
  --ui-text-secondary: var(--neutral-700);
  --ui-text-placeholder: var(--neutral-500);
  --ui-text-muted: var(--neutral-300);
  /** A field is a UI element in which a user can type data, for
  * example an input or textarea element.
  */
  --ui-field-bg: var(--neutral-100);
  --ui-field-bg-hover: var(--neutral-100);
  --ui-field-bg-disabled: var(--neutral-300);
  --ui-field-bg-invalid: var(--red-100);
  --ui-field-bg-focus: var(--neutral-100);
  --ui-field-border: 0.5px solid var(--border-color);
  --ui-field-border-hover: 0.5px solid var(--border-color);
  --ui-field-border-disabled: 0.5px solid var(--border-color);
  --ui-field-border-invalid: 0.5px solid var(--border-color);
  --ui-field-border-focus: 0.5px solid var(--border-color);
  --ui-menu-bg: var(--neutral-100);
  --ui-menu-text: var(--neutral-900);
  --ui-menu-bg-hover: var(--neutral-200);
  --ui-menu-text-hover: var(--neutral-900);
  /** The \`active\` state is used for the state of menu items
  * when they are selected.
  */
  --ui-menu-bg-active: var(--primary-color);
  --ui-menu-text-active: var(--primary-color-reverse);
  /** The \`active-muted\` set is used for the state of
  * submenus when they are open.
  */
  --ui-menu-bg-active-muted: var(--neutral-300);
  --ui-menu-text-active-muted: var(--neutral-900);
  /* --ui-menu-shadow: 0 1px 2px 0 rgba(60, 64, 67, 0.302),
0 2px 6px 2px rgba(60, 64, 67, 0.149); */
  --ui-menu-shadow: 0 0 2px rgba(0, 0, 0, 0.5), 0 0 20px rgba(0, 0, 0, 0.2);
  --ui-menu-divider: 0.5px solid #c7c7c7;
  /* var(--neutral-300); */
  --ui-menu-z-index: 10000;
  --page-bg: var(--neutral-100);
  --content-bg: var(--neutral-200);
}
@media (prefers-color-scheme: dark) {
  :host {
    --ui-menu-bg: var(--neutral-200);
  }
}
:host([theme='dark']) {
  --ui-menu-bg: var(--neutral-200);
}
/* PingFang SC is a macOS font. Microsoft Yahei is a Windows font. 
  Noto  is a Linux/Android font.
*/
:lang(zh-cn),
:lang(zh-sg),
:lang(zh-my),
:lang(zh) {
  --ui-font-family: -apple-system, system-ui, 'PingFang SC', 'Hiragino Sans GB', 'Noto Sans CJK SC', 'Noto Sans SC', 'Noto Sans', 'Microsoft Yahei UI', 'Microsoft YaHei New', 'Microsoft Yahei', '\u5FAE\u8F6F\u96C5\u9ED1', SimSun, '\u5B8B\u4F53', STXihei, '\u534E\u6587\u7EC6\u9ED1', sans-serif;
}
:lang(zh-tw),
:lang(zh-hk),
:lang(zh-mo) {
  --ui-font-family: -apple-system, system-ui, 'Noto Sans', 'Microsoft JhengHei UI', 'Microsoft JhengHei', '\u5FAE\u8EDF\u6B63\u9ED1\u9AD4', '\u65B0\u7D30\u660E\u9AD4', 'PMingLiU', '\u7D30\u660E\u9AD4', 'MingLiU', sans-serif;
}
:lang(ja),
:lang(ja-jp),
:lang(ja-jp-mac) {
  --ui-font-family: -apple-system, system-ui, 'Hiragino Sans', 'Hiragino Kaku Gothic ProN', 'Noto Sans CJK JP', 'Noto Sans JP', 'Noto Sans', '\u6E38\u30B4\u30B7\u30C3\u30AF', '\u6E38\u30B4\u30B7\u30C3\u30AF\u4F53', YuGothic, 'Yu Gothic', '\u30E1\u30A4\u30EA\u30AA', Meiryo, '\uFF2D\uFF33 \uFF30\u30B4\u30B7\u30C3\u30AF', 'MS PGothic', sans-serif;
}
:lang(ko),
:lang(ko-kr),
:lang(ko-kr-std) {
  --ui-font-family: -apple-system, system-ui, 'Noto Sans CJK KR', 'Noto Sans KR', 'Noto Sans', 'Malgun Gothic', '\uB9D1\uC740 \uACE0\uB515', 'Apple SD Gothic Neo', '\uC560\uD50C SD \uC0B0\uB3CC\uACE0\uB515 Neo', 'Apple SD \uC0B0\uB3CC\uACE0\uB515 Neo', '\uB3CB\uC6C0', Dotum, sans-serif;
}
:lang(ko-kr-apple) {
  --ui-font-family: -apple-system, system-ui, 'Noto Sans CJK KR', 'Noto Sans KR', 'Noto Sans', 'Apple SD Gothic Neo', '\uC560\uD50C SD \uC0B0\uB3CC\uACE0\uB515 Neo', 'Apple SD \uC0B0\uB3CC\uACE0\uB515 Neo', '\uB3CB\uC6C0', Dotum, sans-serif;
}
:lang(zh-cn),
:lang(zh-sg),
:lang(zh-my),
:lang(zh),
:lang(zh-tw),
:lang(zh-hk),
:lang(zh-mo),
:lang(ja),
:lang(ja-jp),
:lang(ja-jp-mac),
:lang(ko),
:lang(ko-kr),
:lang(ko-kr-std),
:lang(ko-kr-apple) {
  --ui-font-size: 1rem;
  --ui-line-height: 1.7;
  --ui-letter-spacing: 0;
}
:dir(rtl) {
  --ui-line-height: auto;
  --ui-letter-spacing: 0;
}
`;var Q0=`.ui-menu *,
.ui-menu ::before,
.ui-menu ::after {
  box-sizing: border-box;
}
.ui-menu {
  display: none;
  color-scheme: light dark;
  -webkit-user-select: none;
  /* Important: Safari iOS doesn't respect user-select */
  user-select: none;
  cursor: default;
  -webkit-touch-callout: none;
  -webkit-tap-highlight-color: rgba(0 0 0 0);
  --active-label-color: #fff;
  /* ui-menu-text-active */
  --label-color: #121212;
  /* ui-menu-text */
  --menu-bg: #e2e2e2;
  /* ui-menu-background */
  --active-bg: #5898ff;
  /* ui-menu-background-active */
  --active-bg-dimmed: #c5c5c5;
  /* ui-menu-background-active-muted */
}
/** Use the :where pseudo selector to make the specificity of the
 * selector 0, so that it can be overridden by the user.
 */
:where(.ui-menu-container) {
  position: absolute;
  overflow: visible;
  width: auto;
  height: auto;
  z-index: 10000;
  border-radius: 8px;
  background: var(--ui-menu-bg);
  box-shadow: var(--ui-menu-shadow);
  list-style: none;
  padding: 6px 0 6px 0;
  margin: 0;
  user-select: none;
  cursor: default;
  color: var(--ui-menu-text);
  font-weight: normal;
  font-style: normal;
  text-shadow: none;
  text-transform: none;
  letter-spacing: 0;
  outline: none;
  opacity: 1;
  /* The [popover] elements have a 1px solid black border. Ugh. */
  border: none;
  width: fit-content;
  height: fit-content;
}
:where(.ui-menu-container > li) {
  display: flex;
  flex-flow: row;
  align-items: center;
  padding: 1px 7px 1px 7px;
  margin-top: 0;
  margin-left: 6px;
  margin-right: 6px;
  border-radius: 4px;
  white-space: nowrap;
  position: relative;
  outline: none;
  fill: currentColor;
  user-select: none;
  cursor: default;
  text-align: left;
  color: inherit;
  font-family: var(--ui-font-family);
  font-size: var(--ui-font-size);
  line-height: var(--ui-line-height);
  letter-spacing: var(--ui-letter-spacing);
}
:where(.ui-menu-container > li > .label) {
  display: flex;
  align-items: center;
  justify-content: space-between;
  appearance: none;
  background: none;
  outline: none;
  width: 100%;
  margin: 0;
  padding: 1px 2px 1px 1px;
  overflow: visible;
  border: 1px solid transparent;
  white-space: nowrap;
  text-align: start;
  align-content: center;
}
:where(.ui-menu-container > li:has(.heading)) {
  margin-top: 0.5em;
}
:where(.ui-menu-container > li > .label.heading) {
  font-weight: bold;
  opacity: 0.4;
}
:where(.ui-menu-container > li.indent > .label) {
  margin-inline-start: 12px;
}
:where(.ui-menu-container > li > .label.indent) {
  margin-inline-start: 12px;
}
:where(.ui-menu-container > li[role='divider']) {
  border-bottom: 1px solid var(--ui-menu-divider);
  border-radius: 0;
  padding: 0;
  margin-left: 15px;
  margin-right: 15px;
  padding-top: 5px;
  margin-bottom: 5px;
  width: calc(100% - 30px);
  /** 100% - (margin-left + margin-right) */
}
:where(.ui-menu-container > li[aria-disabled='true']) {
  opacity: 0.5;
}
:where(.ui-menu-container > li.active) {
  background: var(--ui-menu-bg-active);
  background: -apple-system-control-accent;
  color: var(--ui-menu-text-active);
}
:where(.ui-menu-container > li.active.is-submenu-open) {
  background: var(--ui-menu-bg-active-muted);
  color: inherit;
}
:where(.ui-menu-container > li[aria-haspopup='true'] > .label) {
  padding-inline-end: 0;
}
:where(.ui-menu-container > li[aria-haspopup='true'].active::after) {
  color: var(--ui-menu-text-active);
}
/** Keyboard shortcut */
:where(.ui-menu-container > li > kbd) {
  font-family: var(--ui-font-family);
  margin-inline-start: 12px;
  opacity: 0.4;
}
:where(.ui-menu-container > li.active > kbd) {
  opacity: 0.85;
}
.ui-trailing-chevron {
  display: flex;
  margin-inline-start: 24px;
  width: 10px;
  height: 10px;
  margin-bottom: 4px;
}
.ui-trailing-chevron:dir(rtl) {
  transform: scaleX(-1);
}
.ui-checkmark {
  display: flex;
  margin-inline-end: -11px;
  margin-inline-start: -4px;
  margin-top: 2px;
  width: 16px;
  height: 16px;
}
.ui-mixedmark {
  display: flex;
  margin-inline-end: -11px;
  margin-inline-start: -4px;
  margin-top: 2px;
  width: 16px;
  height: 16px;
}
`;var Rr;function Nt(t){let e="";switch(t){case"mathfield-element":e=`
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r=this._element;if(!r)return;r.classList.toggle("is-math-mode",e.mode==="math"),r.classList.toggle("is-text-mode",e.mode==="text"),r.classList.toggle("can-undo",e.canUndo),r.classList.toggle("can-redo",e.canRedo),r.classList.toggle("can-copy",!e.selectionIsCollapsed),r.classList.toggle("can-cut",!e.selectionIsCollapsed),r.classList.toggle("can-paste",!0);let i=r.querySelectorAll(".ML__edit-toolbar");if(i)for(let n of i)n.innerHTML=Kp(this,e)}update(e){this._style=e.style,this.updateToolbar(e)}connect(){this.connectedMathfieldWindow=window}disconnect(){this._visible||(this.connectedMathfieldWindow=void 0)}executeCommand(e){if(e=yi(e),!e)return!1;let r,i=[],n=mr(e);return ee(e)?(r=e[0],r==="performWithFeedback"&&(n=mr(e.slice(1))),i=e.slice(1)):r=e,n==="virtual-keyboard"?_t[r].fn(void 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t.defaultMode==="inline-math"?"math":t.defaultMode}function zp(t,e){let r=t.at(t.position);if(r.type==="composition")r.value=e;else{let{caret:i}=r;r.caret=void 0;let n=new nn(e,{mode:r.mode});n.caret=i,r.parent.addChildAfter(n,r),t.position+=1}}function Np(t){let e=t.at(t.position);e.type==="composition"&&(e.parent.removeChild(e),t.position-=1)}function Xg(t){let e=t.at(t.position);for(;e&&!Ge(e.parentBranch);)e=e.parent;return[e.firstSibling,e.lastSibling]}function Zg(t,e){let r=t.at(t.position);for(;r&&!(r.parent instanceof z);)r=r.parent;if((r==null?void 0:r.type)==="array"&&r.environmentName,!r||!(r.parent instanceof z)){let i=t.at(t.position);if(r=i,!r.parent.parent){let n=t.extractAtoms([t.position,t.lastOffset]),o=t.extractAtoms([0,t.position]),a;return e.endsWith("column")?(o.length===0&&(o=Ms()),n.length===0&&(n=Ms()),a=Re("split",[[o,n]]),t.root=a,yo(a,0,0)?wn(t,a,0,0):yo(a,0,1)?wn(t,a,0,1):t.position=t.offsetOf(i)):(a=Re("lines",[[o],[n]]),t.root=a,wn(t,a,1,0)),[void 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Lc(t,e){if(!t.contentWillChange({}))return!1;t.mathfield.snapshot();let r=".",i=".";switch(e){case"pmatrix":case"pmatrix*":r="(",i=")";break;case"bmatrix":case"bmatrix*":r="[",i="]";break;case"Bmatrix":case"Bmatrix*":r="\\lbrace",i="\\rbrace";break;case"vmatrix":case"vmatrix*":r="\\vert",i="\\vert";break;case"Vmatrix":case"Vmatrix*":r="\\Vert",i="\\Vert";break;case"matrix":case"matrix*":r=".",i=".";break;case"cases":case"dcases":r="\\lbrace";break;case"rcases":i="\\rbrace";break}let n=t.at(t.position),o=n.type==="array"?n:t.parentEnvironment;return o.environmentName=e,o.leftDelim=r,o.rightDelim=i,t.contentDidChange({}),!0}function Fp(t,e){let r=t.at(t.position);for(;r&&!(Array.isArray(r.parentBranch)&&r.parent instanceof z);)r=r.parent;if(Array.isArray(r==null?void 0:r.parentBranch)&&(r==null?void 0:r.parent)instanceof z){let i=r.parent,n=r.parentBranch,o;switch(e){case"row":if(i.rowCount>1){i.removeRow(n[0]);let 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m=i&&e==="backward"||!i&&e==="forward"?r.leftSibling:r.lastChild;return n.addChildrenAfter(r.removeBranch("body"),r),n.removeChild(r),t.position=t.offsetOf(m),!0}if(r.type==="genfrac"||r.type==="overunder"){if(!i)return r.type==="overunder"&&r.hasEmptyBranch("body")||r.type==="genfrac"&&r.hasEmptyBranch("below")&&r.hasEmptyBranch("above")?!1:(t.position=t.offsetOf(e==="forward"?r.firstChild:r.lastChild),!0);let m=at.fractionNavigationOrder==="numerator-denominator"?"above":"below",d=m==="above"?"below":"above";if(n&&(e==="forward"&&i===m||e==="backward"&&i===d)){let h=r.removeBranch(m),f=r.removeBranch(d);return n.addChildrenAfter([...h,...f],r),n.removeChild(r),t.position=t.offsetOf(h.length>0?h[h.length-1]:f[0]),!0}return e==="backward"?t.position=t.offsetOf(r.leftSibling):t.position=t.offsetOf(r),!0}if(r.type==="extensible-symbol"||r.type==="subsup"||r.type==="operator"){if(!i&&e==="forward")return!1;if(!i){if(r.subscript||r.superscript){let m=e==="forward"?(s=(o=r.superscript)==null?void 0:o[0])!=null?s:(a=r.subscript)==null?void 0:a[0]:(u=(l=r.subscript)==null?void 0:l[0].lastSibling)!=null?u:(c=r.superscript)==null?void 0:c[0].lastSibling;return m&&(t.position=t.offsetOf(m)),!0}return!1}if(!r.hasChildren&&r.type==="subsup"){let m=e==="forward"?t.offsetOf(r):Math.max(0,t.offsetOf(r)-1);return r.parent.removeChild(r),t.position=m,!0}if(i&&r.hasEmptyBranch(i)){if(r.removeBranch(i),r.type==="subsup"&&!r.subscript&&!r.superscript){let m=e==="forward"?t.offsetOf(r):Math.max(0,t.offsetOf(r)-1);return r.parent.removeChild(r),t.position=m,!0}return i==="superscript"&&e==="backward"?t.position=t.offsetOf(r.firstChild)-1:i==="subscript"&&e==="backward"?r.superscript?t.position=t.offsetOf(r.superscript[0].lastSibling):t.position=t.offsetOf(r.firstChild)-1:t.position=t.offsetOf(r),!0}if(i==="superscript")if(e==="backward"){let m=t.offsetOf(r.firstChild)-1;m>=0,t.position=m}else r.subscript?t.position=t.offsetOf(r.subscript[0]):t.position=t.offsetOf(r);else i==="subscript"&&(e==="backward"&&r.superscript?t.position=t.offsetOf(r.superscript[0].lastSibling):e==="backward"?t.position=t.offsetOf(r.firstChild)-1:t.position=t.offsetOf(r));return!0}if((n==null?void 0:n.type)==="genfrac"&&!i&&r.type!=="first"){let m=t.offsetOf(r.leftSibling);return n.removeChild(r),n.hasEmptyBranch("above")&&n.hasEmptyBranch("below")?(m=t.offsetOf(n.leftSibling),n.parent.removeChild(n),t.announce("delete",void 0,[n]),t.position=m,!0):(t.announce("delete",void 0,[r]),t.position=m,!0)}if(e==="backward"&&((n==null?void 0:n.command)==="\\ln"||(n==null?void 0:n.command)==="\\log")&&r.parentBranch!=="body"){let m=t.offsetOf(n.leftSibling);return n.parent.removeChild(n),t.announce("delete",void 0,[n]),t.position=m,!0}return!1}function $p(t){return!t.mathfield.isSelectionEditable||!t.contentWillChange({inputType:"deleteContentBackward"})?!1:t.selectionIsCollapsed?t.deferNotifications({content:!0,selection:!0,type:"deleteContentBackward"},()=>{var i;let e=t.at(t.position);if(e&&vo(t,"backward",e))return;if(e!=null&&e.isFirstSibling){if(vo(t,"backward",e.parent,e.parentBranch))return;e=null}if(!e){t.announce("plonk");return}let r=e.parent;if(t.position=t.offsetOf(e.leftSibling),r.removeChild(e),t.announce("delete",void 0,[e]),r.type==="latexgroup"&&r.hasEmptyBranch("body")){let n=t.offsetOf(r.leftSibling);(i=r.parent)==null||i.removeChild(r),t.position=Math.max(0,n)}t.root.hasEmptyBranch("body")&&t.mathfield.flushInlineShortcutBuffer()}):st(t,de(t.selection),"deleteContentBackward")}function Vp(t){return!t.mathfield.isSelectionEditable||!t.contentWillChange({inputType:"deleteContentForward"})?!1:t.selectionIsCollapsed?t.deferNotifications({content:!0,selection:!0,type:"deleteContentForward"},()=>{var n,o,a;let e=t.at(t.position).rightSibling;if(e&&vo(t,"forward",e))return;if(e){if(t.at(t.position).isLastSibling&&vo(t,"forward",e.parent,e.parentBranch))return}else{if(e=t.at(t.position),e.isLastSibling&&vo(t,"forward",e.parent,e.parentBranch))return;e=void 0}if(t.position===t.lastOffset||!e){t.announce("plonk");return}let r=e.parent;r.removeChild(e);let i=(n=t.at(t.position))==null?void 0:n.rightSibling;for(;(i==null?void 0:i.type)==="subsup";)i.parent.removeChild(i),i=(o=t.at(t.position))==null?void 0:o.rightSibling;if(t.announce("delete",void 0,[e]),r.type==="latexgroup"&&r.hasEmptyBranch("body")){let s=t.offsetOf(r.leftSibling);(a=r.parent)==null||a.removeChild(r),t.position=Math.max(0,s)}t.root.hasEmptyBranch("body")&&t.mathfield.flushInlineShortcutBuffer()}):st(t,de(t.selection),"deleteContentForward")}function st(t,e,r){let i=t.getAtoms(e);if(i.length>0&&i[0].parent){let n=i[0];for(;n&&!(n instanceof z);)n=n.parent;let o=i[i.length-1];for(;o&&!(o instanceof z);)o=o.parent;if(n&&n 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h=t.offsetOf(a.leftSibling),f=a.removeBranch("above");f&&f.length>0&&a.parent.addChildrenAfter(f,a),a.parent.removeChild(a),t.position=Math.max(0,h)}}}n.size===0&&(t.position=o),t.root.hasEmptyBranch("body")&&t.mathfield.flushInlineShortcutBuffer()})}function ib(t,e,r,i){if(!(e instanceof z)||!e.isMultiline||e.rows.length===1||e.rows[r].length>1)return!1;let n=e.getCell(r,0);if(!n)return!1;if(e.removeRow(r),i==="backward"){let o=e.getCell(r-1,0);if(!o)return t.position=t.offsetOf(e),!0;o.length>0?t.position=t.offsetOf(o[o.length-1]):t.position=t.offsetOf(e),e.setCell(r-1,0,[...o,...n])}else{let o=e.getCell(r,0);if(!o)return t.position=t.offsetOf(e),!0;o.length>0?t.position=t.offsetOf(o[0]):t.position=t.offsetOf(e),e.setCell(r,0,[...n,...o])}return!0}function nb(t,e,r){var o,a;if(t.at(e).mode!=="text")return e;let i=r==="backward"?-1:1,n;if(Zr.test(t.at(e).value)){let s=e,l;do l=t.at(s).mode==="text"&&Zr.test(t.at(s).value),s+=i;while(t.at(s)&&l);n=t.at(s)?s-2*i:s-i}else 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i=1/0,n=0;for(;n<e.length;n++){let o=e[n],a=t.getHTMLElement(o);if(!a)continue;let s=ac(a).right,l=Math.abs(r-s);if(l<=i)i=l;else break}return e[n-1]}function Ls(t,e,r,i,n){let o=t.mathfield.hasEditablePrompts,a=o?r.filter(c=>c.type==="prompt"&&!c.captureSelection):r,s=ac(t.mathfield.getHTMLElement(e)).right,l=t.offsetOf(ob(t.mathfield,a,s))-(o?1:0);if(i){let[c,u]=t.selection.ranges[0],m;l<(n==="up"?c:u)?m={ranges:[[l,u]],direction:"backward"}:m={ranges:[[c,l]],direction:"forward"},t.setSelection(m)}else t.setPositionHandlingPlaceholder(l);t.announce(`move ${n}`)}function ab(t,e){var a,s;let r=(a=e==null?void 0:e.extend)!=null?a:!1;r||t.collapseSelection("backward");let i=()=>{var c,u;let l=!0;return t.silenceNotifications||(l=(u=(c=t.mathfield.host)==null?void 0:c.dispatchEvent(new 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i=e.leftSibling;if(i&&i.isDigit())return!0}}if(t.type==="subsup"){let e=t.leftSibling;if(e&&e.isDigit()&&e.value==="0"){let r=e.leftSibling;if(r&&r.isDigit()&&r.value==="1"){let i=r.leftSibling;if((i==null?void 0:i.type)==="mbin"&&(i.value==="\xD7"||i.value==="\\times")){let n=i.leftSibling;if(n&&n.isDigit())return!0}}}}if(t.isDigit()&&t.value==="0"){let e=t.leftSibling,r=t.rightSibling;if(e&&e.isDigit()&&e.value==="1"&&(r==null?void 0:r.type)==="subsup"){let i=e.leftSibling;if((i==null?void 0:i.type)==="mbin"&&(i.value==="\xD7"||i.value==="\\times")){let n=i.leftSibling;if(n&&n.isDigit())return!0}}}if(t.isDigit()&&t.value==="1"){let e=t.rightSibling;if(e&&e.isDigit()&&e.value==="0"){let r=e.rightSibling;if((r==null?void 0:r.type)==="subsup"){let i=t.leftSibling;if((i==null?void 0:i.type)==="mbin"&&(i.value==="\xD7"||i.value==="\\times")){let n=i.leftSibling;if(n&&n.isDigit())return!0}}}}if(t.type==="mbin"&&(t.value==="\xD7"||t.value==="\\times")){let 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e=this.element;e.textContent="",e.className="",e.className=(i=this._className)!=null?i:"",this.enabled?e.removeAttribute("aria-disabled"):e.setAttribute("aria-disabled","true"),this.checked===!0?(e.setAttribute("aria-checked","true"),e.append(Is("checkmark"))):this.checked==="mixed"?(e.setAttribute("aria-checked","mixed"),e.append(Is("mixedmark"))):e.removeAttribute("aria-checked"),this.ariaLabel&&e.setAttribute("aria-label",this.ariaLabel);let r=document.createElement("span");if(r.className=this.parentMenu.hasCheck?"label indent":"label",this.type==="heading"&&r.classList.add("heading"),r.innerHTML=this.label,e.append(r),this._tooltip&&e.setAttribute("data-tooltip",this._tooltip),St(this._declaration)&&this._declaration.keyboardShortcut){let n=document.createElement("kbd");n.innerHTML=hn(this._declaration.keyboardShortcut),e.append(n)}this.type==="submenu"&&e.append(Is("trailing-chevron"))}get element(){if(this._element)return this._element;if(Lo(this._declaration)){let i=document.createElement("li");return i.setAttribute("part","menu-divider"),i.setAttribute("role","divider"),this._element=i,i}let e=document.createElement("li");this._element=e,(St(this._declaration)||Rs(this._declaration)||qr(this._declaration))&&e.setAttribute("part","menu-item"),e.setAttribute("tabindex","-1"),this.hasCheck?e.setAttribute("role","menuitemcheckbox"):e.setAttribute("role","menuitem"),this.type==="submenu"&&(e.setAttribute("aria-haspopup","true"),e.setAttribute("aria-expanded","false"));let r=this.abortController.signal;return e.addEventListener("pointerenter",this,{signal:r}),e.addEventListener("pointerleave",this,{signal:r}),e.addEventListener("pointerup",this,{signal:r}),e.addEventListener("click",this,{signal:r}),this._element}dispatchSelect(){var i;if(!St(this._declaration))return;let e=new CustomEvent("menu-select",{cancelable:!0,bubbles:!0,detail:{modifiers:this.rootMenu.modifiers,id:this._declaration.id,data:this._declaration.data}});this.parentMenu.dispatchEvent(e)&&typeof this._declaration.onMenuSelect=="function"&&this._declaration.onMenuSelect({target:(i=this.parentMenu.host)!=null?i:void 0,modifiers:this.rootMenu.modifiers,id:this._declaration.id,data:this._declaration.data})}handleEvent(e){var r;if(!(!this.visible||!this.enabled)){if(e.type==="click"){this.rootMenu.state==="modal"&&this.select(),e.stopPropagation(),e.preventDefault();return}if(e.type==="pointerenter"){let i=e;this.rootMenu.cancelDelayedOperation(),this.parentMenu.isSubmenuOpen&&((r=this.parentMenu.activeMenuItem)!=null&&r.movingTowardSubmenu(i))?this.rootMenu.scheduleOperation(()=>{this.parentMenu.activeMenuItem=this,this.openSubmenu()}):(this.parentMenu.activeMenuItem=this,this.openSubmenu({withDelay:!0}));return}if(e.type==="pointerleave"){this.rootMenu.activeSubmenu===this.parentMenu&&(this.parentMenu.activeMenuItem=null);return}if(e.type==="pointerup"){this.rootMenu.state!=="modal"&&this.select(),e.stopPropagation(),e.preventDefault();return}}}select(){if(this.rootMenu.cancelDelayedOperation(),this.type==="submenu"){this.openSubmenu();return}this.active=!1,setTimeout(()=>{this.active=!0,setTimeout(()=>{this.active=!1,this.rootMenu.hide(),this.dispatchSelect()},dh)},dh)}openSubmenu(e){var n;if(this.type!=="submenu"||!this.element)return;if((n=e==null?void 0:e.withDelay)!=null&&n){this.rootMenu.scheduleOperation(()=>this.openSubmenu());return}let r=this.element.getBoundingClientRect(),i=Ps(this.element);this.submenu.show({container:this.rootMenu.element.parentNode,location:{x:Nc(r,"trailing",i),y:r.top-4},alternateLocation:{x:Nc(r,"leading",i),y:r.top-4}})}movingTowardSubmenu(e){if(!this.element||this.type!=="submenu")return!1;let r=this.rootMenu.lastMoveEvent;if(!r)return!1;let i=e.timeStamp-r.timeStamp;if(i>500)return!1;let n=e.clientX-r.clientX;if(Pb(n,r.clientY-e.clientY,i)<=.2)return!1;let a="right";if(this.submenu.element){let s=this.submenu.element.getBoundingClientRect(),l=this.element.getBoundingClientRect();s.left<l.left+l.width/2&&(a="left")}return a==="right"?n>0:n<0}};function Pb(t,e,r){return Math.hypot(t,e)/r}function wi(t,e){return t===void 0||typeof t!="function"?t:(e!=null||(e={alt:!1,control:!1,shift:!1,meta:!1}),t(e))}var Ln=class t{constructor(e,r){this._element=null;this._activeMenuItem=null;this._dirty=!0;var i,n;this.parentMenu=(i=r==null?void 0:r.parentMenu)!=null?i:null,this._submenuClass=r==null?void 0:r.submenuClass,this.columnCount=(n=r==null?void 0:r.columnCount)!=null?n:1,this.isSubmenuOpen=!1,this.menuItems=e}get children(){return Object.freeze([...this._menuItems])}set menuItems(e){let r=this.parentMenu;this.dispose(),this.parentMenu=r,e=[...e],this._menuItems=e.map(i=>i.onCreate?i.onCreate(i,this):new kn(i,this)),this.hasCheck=void 0,this.dirty=!0}dispose(){var e;this.hide(),this._element&&this._element.remove(),this._abortController&&this._abortController.abort(),(e=this._menuItems)==null||e.forEach(r=>r.dispose()),this._menuItems=[],this._activeMenuItem=null,this.parentMenu=null}handleEvent(e){if(e.type==="wheel"&&this._element){let r=e;this._element.scrollBy(0,r.deltaY),e.stopPropagation()}}dispatchEvent(e){return this.rootMenu.dispatchEvent(e)}get host(){return this.rootMenu.host}get rootMenu(){return this.parentMenu.rootMenu}updateState(e){var a,s,l;this._menuItems.forEach(c=>c.updateState(e));let r=this.hasCheck;this.hasCheck=this._menuItems.some(c=>c.visible&&c.hasCheck),this.hasCheck!==r&&this._menuItems.forEach(c=>c.updateState(e));let i,n=0;for(let c of this._menuItems)c.type==="heading"?(i&&n===0&&(i.visible=!1),i=c,n=0):c.type==="divider"&&i?(i.visible=n>0,i=void 0,n=0):i&&c.visible&&(n+=1);i&&(i.visible=n>0);let o=!0;for(let c of this._menuItems)c.type==="divider"?(c.visible=!o,o=!0):c.visible&&(o=!1);(a=this.activeMenuItem)!=null&&a.visible||(this.activeMenuItem=null),!((s=this.activeMenuItem)!=null&&s.enabled)&&((l=this.activeMenuItem)==null?void 0:l.type)==="submenu"&&this._activeMenuItem.submenu.hide(),this._dirty=!1}get enabled(){return this.updateIfDirty(),this._menuItems.some(e=>e.type!=="divider"&&e.visible&&e.enabled)}get visible(){return this.updateIfDirty(),this._menuItems.some(e=>e.type!=="divider"&&e.visible)}set dirty(e){this._dirty!==e&&e&&this.parentMenu&&(this._dirty=!0,this.parentMenu.dirty=!0)}updateIfDirty(){this._dirty&&this.updateState(this.rootMenu.modifiers)}updateElement(){var e;if(this._element){this._element.textContent="";for(let{element:r,visible:i}of this._menuItems)r&&i&&this._element.append(r);(e=this._element.querySelector("li:first-of-type"))==null||e.setAttribute("tabindex","0")}}get element(){if(this._element)return this._element;let e=document.createElement("menu");e.setAttribute("role","menu"),e.setAttribute("tabindex","-1"),e.setAttribute("aria-orientation","vertical"),e.setAttribute("part","ui-menu-container"),this._submenuClass&&e.classList.add(this._submenuClass),e.classList.add("ui-menu-container"),this._abortController||(this._abortController=new AbortController);let r=this._abortController.signal;return e.addEventListener("focus",this,{signal:r}),e.addEventListener("wheel",this,{passive:!0,signal:r}),this._element=e,this.updateElement(),e}get activeMenuItem(){return this._activeMenuItem}set activeMenuItem(e){var r,i,n,o;if(this.rootMenu.cancelDelayedOperation(),e!==this._activeMenuItem){if(this.activeMenuItem){let a=this.activeMenuItem;a.active=!1,(r=a.submenu)==null||r.hide()}if(!((i=e==null?void 0:e.visible)==null||i)){this._activeMenuItem=null;return}this._activeMenuItem=e,e&&(e.active=!0)}e?(n=e.element)==null||n.focus({preventScroll:!0}):(o=this._element)==null||o.focus({preventScroll:!0})}get firstMenuItem(){this.updateIfDirty();let e=0,r=!1,i=this._menuItems;for(;!r&&e<=i.length-1;){let n=i[e];r=n.type!=="divider"&&n.visible&&n.enabled,e+=1}return r?i[e-1]:null}get lastMenuItem(){this.updateIfDirty();let e=this._menuItems,r=e.length-1,i=!1;for(;!i&&r>=0;){let n=e[r];i=n.type!=="divider"&&n.visible&&n.enabled,r-=1}return i?e[r+1]:null}nextMenuItem(e){if(e===0)return this._activeMenuItem;if(!this._activeMenuItem)return e>0?this.firstMenuItem:this.lastMenuItem;if(!this.firstMenuItem||!this.lastMenuItem||!this._activeMenuItem)return null;this.updateIfDirty();let r=this._menuItems.indexOf(this.firstMenuItem),i=this._menuItems.indexOf(this.lastMenuItem),n=this._menuItems.indexOf(this._activeMenuItem),o=1;for(;n>=r&&n<=i;){n+=e>0?1:-1;let a=this._menuItems[n];if(!a)break;if(a.visible&&a.enabled){if(o===Math.abs(e))return this._menuItems[n];o+=1}}return e>0?this.lastMenuItem:this.firstMenuItem}getMenuItemColumn(e){this.updateIfDirty();let i=this._menuItems.filter(n=>n.visible&&n.enabled).indexOf(e);return i<0?-1:i%this.columnCount}static get collator(){return t._collator||(t._collator=new Intl.Collator(void 0,{usage:"search",sensitivity:"base"})),t._collator}findMenuItem(e){var a;this.updateIfDirty();let r=this._menuItems.filter(s=>s.type!=="divider"&&s.visible&&s.enabled);if(r.length===0)return null;let i=Math.max(...r.map(s=>s.label.length))-e.length;if(i<0)return null;let n=null,o=0;for(;o<i&&!n;)n=(a=r.find(s=>t.collator.compare(e,s.label.substring(o,e.length))===0))!=null?a:null,o++;return n}show(e){return!this.visible||!e.container?!1:(this.updateElement(),e.container.appendChild(this.element),el()&&(this.element.popover="manual",this.element.showPopover()),e.location&&lh(this.element,{location:e.location,alternateLocation:e.alternateLocation,verticalPos:"bottom",horizontalPos:"start"}),mh(),this.element.focus({preventScroll:!0}),ph(),this.parentMenu&&(this.parentMenu.openSubmenu=this),!0)}hide(){var e,r,i,n,o,a;this.openSubmenu=null,this.activeMenuItem=null,this.parentMenu&&(this.parentMenu.openSubmenu=null),!(!((e=this._element)!=null&&e.isConnected)||!this._element.parentElement)&&(el()&&((r=this._element)!=null&&r.popover)&&this._element.hidePopover(),mh(),(n=(i=this.parentMenu)==null?void 0:i.element)==null||n.focus(),(a=(o=this._element)==null?void 0:o.parentNode)==null||a.removeChild(this._element),ph())}set openSubmenu(e){var i,n,o,a;let r=e!==null;((i=this.activeMenuItem)==null?void 0:i.type)==="submenu"&&((n=this.activeMenuItem.element)==null||n.setAttribute("aria-expanded",r.toString())),(a=(o=this.activeMenuItem)==null?void 0:o.element)==null||a.classList.toggle("is-submenu-open",r),this.isSubmenuOpen=r}};function mh(){document.addEventListener("focusin",Hr,!0),document.addEventListener("focusout",Hr,!0),document.addEventListener("focus",Hr,!0),document.addEventListener("blur",Hr,!0)}function Hr(t){t.stopImmediatePropagation(),t.preventDefault()}function ph(){document.removeEventListener("focusin",Hr,!0),document.removeEventListener("focusout",Hr,!0),document.removeEventListener("focus",Hr,!0),document.removeEventListener("blur",Hr,!0)}var zs=class zs extends Ln{constructor(r,i){var n;super(r);this.state="closed";this.typingBufferResetTimer=0;this.hysteresisTimer=0;this._updating=!1;this._host=(n=i==null?void 0:i.host)!=null?n:null,this.isDynamic=r.some(hh),this._modifiers={shift:!1,control:!1,alt:!1,meta:!1},this.typingBuffer="",this.state="closed"}get modifiers(){return this._modifiers}set modifiers(r){xp(this._modifiers,r)||(this._modifiers=r,this.dirty=!0)}get activeSubmenu(){let r=this;for(;r.isSubmenuOpen;)r=r.activeMenuItem.submenu;return r}set dirty(r){this._updating||this._dirty!==r&&(this._dirty=!0,r&&setTimeout(()=>{this.updateState(this.modifiers),this.updateElement()}))}updateState(r){this._updating=!0,this.modifiers=r!=null?r:this.modifiers,super.updateState(this.modifiers),this._updating=!1}handleKeyupEvent(r){this.isDynamic&&(this.modifiers=Ht(r)),r.stopImmediatePropagation()}handleKeydownEvent(r){var a,s,l;if(r.key==="Tab"||r.key==="Escape"){this.hide();return}this.isDynamic&&(this.modifiers=Ht(r));let i=!0,n=this.activeSubmenu,o=n.activeMenuItem;switch(r.key){case" ":case"Space":case"Return":case"Enter":o==null||o.select(Ht(r));break;case"ArrowRight":if((o==null?void 0:o.type)==="submenu")o.select(Ht(r)),this.activeSubmenu.activeMenuItem=this.activeSubmenu.firstMenuItem;else if(!o)n.activeMenuItem=n.firstMenuItem;else{let c=(a=n.getMenuItemColumn(o))!=null?a:-1;if(c>=0&&c<((s=n.columnCount)!=null?s:1)-1){let u=n.nextMenuItem(1);u&&(n.activeMenuItem=u)}}break;case"ArrowLeft":if(n===this.rootMenu)o||(n.activeMenuItem=n.firstMenuItem);else if((o&&(l=n.getMenuItemColumn(o))!=null?l:-1)<=0||!o){n.hide();let u=n.parentMenu.activeMenuItem;if(u){let{element:m}=u;m==null||m.focus(),m==null||m.classList.remove("is-submenu-open")}}else{let u=n.nextMenuItem(-1);u&&(n.activeMenuItem=u)}break;case"ArrowDown":n.activeMenuItem=n.nextMenuItem(n.columnCount);break;case"ArrowUp":n.activeMenuItem=n.nextMenuItem(-n.columnCount);break;case"Home":case"PageUp":n.activeMenuItem=n.firstMenuItem;break;case"End":case"PageDown":n.activeMenuItem=n.lastMenuItem;break;case"Backspace":if(this.typingBuffer&&(this.typingBuffer=this.typingBuffer.slice(0,-1),this.typingBuffer)){clearTimeout(this.typingBufferResetTimer);let c=n.findMenuItem(this.typingBuffer);c&&(n.activeMenuItem=c),this.typingBufferResetTimer=setTimeout(()=>{this.typingBuffer=""},500)}break;default:if(cr(r)){isFinite(this.typingBufferResetTimer)&&clearTimeout(this.typingBufferResetTimer),this.typingBuffer+=r.key;let c=n.findMenuItem(this.typingBuffer);c&&(n.activeMenuItem=c),this.typingBufferResetTimer=setTimeout(()=>{this.typingBuffer=""},500)}else i=!1}i&&(r.preventDefault(),r.stopPropagation())}handleEvent(r){if(r.type==="keydown")this.handleKeydownEvent(r);else if(r.type==="keyup")this.handleKeyupEvent(r);else if(r.type==="pointermove")this.lastMoveEvent=r;else if(r.type==="pointerup")Number.isFinite(this.rootMenu._openTimestamp)&&Date.now()-this.rootMenu._openTimestamp<120?this.state="modal":this.state==="modal"&&r.target===this.scrim&&this.hide();else if(r.type==="contextmenu"){r.preventDefault(),r.stopPropagation();return}super.handleEvent(r)}dispatchEvent(r){return this._host?this._host.dispatchEvent(r):!0}get host(){return this._host}get scrim(){return Te.element}connectScrim(r){let i=this.scrim;i.addEventListener("pointerup",this,!0),i.addEventListener("contextmenu",this),i.addEventListener("keydown",this),i.addEventListener("keyup",this),i.addEventListener("pointermove",this),Te.open({root:r,onDismiss:()=>this.hide()})}disconnectScrim(){let r=this.scrim;r.removeEventListener("pointerup",this,!0),r.removeEventListener("contextmenu",this),r.removeEventListener("keydown",this),r.removeEventListener("keyup",this),r.removeEventListener("pointermove",this),Te.state==="open"&&Te.scrim.close()}get rootMenu(){return this}show(r){return this._onDismiss=r==null?void 0:r.onDismiss,r!=null&&r.modifiers&&(this.modifiers=r.modifiers),this.updateState(),this.connectScrim(r==null?void 0:r.target),super.show(g(p({},r),{container:this.scrim}))?(this._openTimestamp=Date.now(),this.state="open",!0):(this.disconnectScrim(),!1)}hide(){this.cancelDelayedOperation(),this.state!==void 0&&(this.state!=="closed"&&(this.activeMenuItem=null,Te.element.parentElement.focus(),super.hide(),this.state="closed",this.disconnectScrim()),this._onDismiss&&(this._onDismiss(),this._onDismiss=void 0))}scheduleOperation(r){this.cancelDelayedOperation();let i=zs.SUBMENU_DELAY;if(i<=0){r();return}this.hysteresisTimer=setTimeout(()=>{this.hysteresisTimer=0,r()},i)}cancelDelayedOperation(){this.hysteresisTimer&&(clearTimeout(this.hysteresisTimer),this.hysteresisTimer=0)}};zs.SUBMENU_DELAY=120;var Ao=zs;function hh(t){return Lo(t)?!1:typeof t.label=="function"||typeof t.ariaLabel=="function"||typeof t.tooltip=="function"||(St(t)||qr(t))&&(typeof t.enabled=="function"||typeof t.visible=="function")||St(t)&&typeof t.checked=="function"?!0:qr(t)?t.submenu.some(hh):!1}var An=class{};An.DELAY=300,An.MAX_DISTANCE=10;function fh(t){return new Promise((e,r)=>{let i=fn(t);i||e(!1);let n=i,o=setTimeout(()=>{a.abort(),e(ch(n,i)<An.MAX_DISTANCE)},An.DELAY),a=new AbortController,s=a.signal;for(let l of["pointermove","pointerup","pointercancel"])window.addEventListener(l,c=>{if(c.type==="pointerup"||c.type==="pointercancel")clearTimeout(o),a.abort(),e(!1);else if(c.type==="pointermove"){let u=fn(c);u&&(n=u)}},{passive:!0,signal:s})})}async function 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z?r=r[0].rows.flatMap(n=>n.flatMap(o=>o)):r=[...(i=r[0].body)!=null?i:r[0].children],r=r.filter(n=>n.type!=="first"));for(let n of r)n.parent.removeChild(n);return r}deleteAtoms(e){if(e!=null||(e=[0,-1]),this.extractAtoms(e),e[0]===0&&e[1]===-1&&this.root instanceof z)for(;this.root.rowCount>1;)this.root.removeRow(1);this.position=e[0]}atomToString(e,r){let i=r!=null?r:"latex";if(i.startsWith("latex"))return y.serialize([e],{expandMacro:i==="latex-expanded",skipStyles:i==="latex-unstyled",skipPlaceholders:i==="latex-without-placeholders",defaultMode:this.mathfield.options.defaultMode});if(i==="math-ml")return U(e);if(i==="spoken")return kt(e);if(i==="spoken-text"){let n=globalThis.MathfieldElement.textToSpeechMarkup;globalThis.MathfieldElement.textToSpeechMarkup="";let o=kt(e);return globalThis.MathfieldElement.textToSpeechMarkup=n,o}if(i==="spoken-ssml"||i==="spoken-ssml-with-highlighting"){let n=globalThis.MathfieldElement.textToSpeechMarkup;globalThis.MathfieldElement.textToSpeechMarkup="ssml";let o=kt(e);return globalThis.MathfieldElement.textToSpeechMarkup=n,o}return i==="typst"?ae(e):i==="plain-text"?ce(e,{plain:!0}):i==="ascii-math"?ce(e):(console.error(`MathLive 0.109.0: Unexpected format "${i}`),"")}getValue(e,r,i){if(e===void 0)return this.atomToString(this.root,"latex");if(typeof e=="string"&&e!=="math-json")return this.atomToString(this.root,e);let n,o;if(It(e)&&It(r)?(n=[this.normalizeRange([e,r])],o=i):si(e)?(n=[this.normalizeRange(e)],o=r):Xi(e)?(n=e.ranges,o=r):(n=[this.normalizeRange([0,-1])],o=e),o!=null||(o="latex"),o==="math-json"){if(!globalThis.MathfieldElement.computeEngine)return window[Symbol.for("io.cortexjs.compute-engine")]||console.error(`The CortexJS Compute Engine library is not available.
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l=n!==this._anchor||o!==this._position||I0(this._selection,i)==="different";e.selection&&l&&this.selectionDidChange();let c=this.root.changeCounter!==s;return e.content&&c&&this.contentDidChange({inputType:e.type}),c||l}normalizeOffset(e){return e>0?e=Math.min(e,this.lastOffset):e<0&&(e=this.lastOffset+e+1),e}normalizeRange(e){let[r,i]=e;return r=this.normalizeOffset(r),i=this.normalizeOffset(i),r<i?[r,i]:[i,r]}normalizeSelection(e,r){var n;let i;if(It(e)){let o=this.normalizeOffset(e);if(It(r)){let a=this.normalizeOffset(r);i=o<=a?{ranges:[[o,a]],direction:"none"}:{ranges:[[a,o]],direction:"backward"}}else i={ranges:[[o,o]],direction:"none"}}else if(si(e)){let o=this.normalizeOffset(e[0]),a=this.normalizeOffset(e[1]);i=o<=a?{ranges:[[o,a]],direction:"none"}:{ranges:[[a,o]],direction:"backward"}}else Xi(e)&&(i={ranges:e.ranges.map(o=>this.normalizeRange(o)),direction:(n=e.direction)!=null?n:"none"});return i}get parentEnvironment(){let e=this.at(this.position).parent;if(e){for(;e.parent&&e.type!=="array";)e=e.parent;if(e.type==="array")return e}}get parentCell(){return this.getParentCell(this.position)}getParentCell(e){var i,n;let r=this.at(e);if(r){for(;r&&((i=r.parent)==null?void 0:i.type)!=="array";)r=r.parent;if(((n=r==null?void 0:r.parent)==null?void 0:n.type)==="array")return r.parentBranch}}contentWillChange(e={}){if(this.silenceNotifications||!this.mathfield)return!0;let r=this.silenceNotifications;this.silenceNotifications=!0;let i=this.mathfield.onContentWillChange(e);return this.silenceNotifications=r,i}contentDidChange(e){var i;if(window.mathVirtualKeyboard.visible&&window.mathVirtualKeyboard.update(jt(this.mathfield)),this.silenceNotifications||!((i=this.mathfield)!=null&&i.host))return;let r=this.silenceNotifications;this.silenceNotifications=!0,setTimeout(()=>{var n;!this.mathfield||!it(this.mathfield)||!this.mathfield.host||this.mathfield.host.dispatchEvent(new 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o,a;let r=(a=(o=e==null?void 0:e.location)!=null?o:Yi(this.field))!=null?a:void 0,i=e==null?void 0:e.modifiers,n=this.element.querySelector("[part=container]");return this._menu.show({target:n,location:r,modifiers:i})}get colorMap(){return e=>{var r,i,n;return(n=(i=(r=this.options).colorMap)==null?void 0:i.call(r,e))!=null?n:Xr(e)}}get backgroundColorMap(){return e=>{var r,i,n,o,a,s;return(s=(a=(i=(r=this.options).backgroundColorMap)==null?void 0:i.call(r,e))!=null?a:(o=(n=this.options).colorMap)==null?void 0:o.call(n,e))!=null?s:Ei(e)}}get smartFence(){var e;return(e=this.options.smartFence)!=null?e:!1}get readOnly(){var e;return(e=this.options.readOnly)!=null?e:!1}get disabled(){var e,r;return(r=(e=this.host)==null?void 0:e.disabled)!=null?r:!1}get contentEditable(){return this.host?this.host.getAttribute("contenteditable")!=="false":!1}get userSelect(){if(!this.host)return"";let e=getComputedStyle(this.host);return 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n;this.options=p(p({},this.options),_n(e)),this._keybindings=void 0,this.options.defaultMode==="inline-math"?this.element.classList.add("ML__is-inline"):this.element.classList.remove("ML__is-inline");let r=this.options.defaultMode;r==="inline-math"&&(r="math"),((n=this.model.root.firstChild)==null?void 0:n.mode)!==r&&(this.model.root.firstChild.mode=r),this.options.readOnly&&this.hasFocus()&&window.mathVirtualKeyboard.visible&&this.executeCommand("hideVirtualKeyboard");let i=y.serialize([this.model.root],{expandMacro:!1,defaultMode:this.options.defaultMode});("macros"in e||this.model.getValue()!==i)&&bc(this),("value"in e||"registers"in e||"colorMap"in e||"backgroundColorMap"in e||"letterShapeStyle"in e||"minFontScale"in e||"maxMatrixCols"in e||"readOnly"in e||"contentPlaceholder"in e||"placeholderSymbol"in e)&&Y(this)}getOptions(e){return pr(this.options,e)}getOption(e){return pr(this.options,e)}async handleEvent(e){var r,i,n;if(it(this)){if(mo(e)){if(!Qi(e.origin,(r=this.options.originValidator)!=null?r:"none"))throw new DOMException(`Message from unknown origin (${e.origin}) cannot be handled`,"SecurityError");let{action:o}=e.data;if(o==="execute-command"){let a=yi(e.data.command);if(!a||mr(a)==="virtual-keyboard")return;this.executeCommand(a)}else o==="update-state"||(o==="focus"?this.focus({preventScroll:!0}):o==="blur"&&this.blur());return}switch(e.type){case"focus":this.programmaticFocusInProgress||this.onFocus({suppressEvents:!0});break;case"blur":this.onBlur({dispatchEvents:!1});break;case"mousedown":this.userSelect!=="none"&&!((i=e.target)!=null&&i.closest("[part=virtual-keyboard-toggle],[part=menu-toggle]"))&&Bc(this,e);break;case"pointerdown":!e.defaultPrevented&&this.userSelect!=="none"&&!((n=e.target)!=null&&n.closest("[part=virtual-keyboard-toggle],[part=menu-toggle]"))&&(Bc(this,e),e.shiftKey===!1&&await 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r=this.host.offsetHeight,i=e.classList.contains("ML__toggles--vertical");r>=100&&!i?e.classList.add("ML__toggles--vertical"):r<100&&i&&e.classList.remove("ML__toggles--vertical")}dispose(){if(!it(this))return;F.unsubscribe(this._l10Subscription),this.keyboardDelegate.dispose(),this.keyboardDelegate=void 0,this.eventController.abort(),this.eventController=void 0,this.resizeObserver.disconnect(),window.mathVirtualKeyboard.removeEventListener("virtual-keyboard-toggle",this),this.disconnectFromVirtualKeyboard(),this.model.dispose();let e=this.element;delete e.mathfield,this.element=void 0,this.host=void 0,this.field=void 0,this.ariaLiveText=void 0,Zp(),Cp(),sh()}flushInlineShortcutBuffer(e){if(e!=null||(e={defer:!1}),!e.defer){this.inlineShortcutBuffer.length=0,clearTimeout(this.inlineShortcutBufferFlushTimer),this.inlineShortcutBufferFlushTimer=0;return}this.options.inlineShortcutTimeout>0&&(clearTimeout(this.inlineShortcutBufferFlushTimer),this.inlineShortcutBufferFlushTimer=setTimeout(()=>this.flushInlineShortcutBuffer(),this.options.inlineShortcutTimeout))}executeCommand(e){return mr(e)==="virtual-keyboard"?(this.focus({preventScroll:!0}),window.mathVirtualKeyboard.executeCommand(e),requestAnimationFrame(()=>window.mathVirtualKeyboard.update(jt(this))),!1):Bp(this,e)}get errors(){return ns(this.model.getValue(),{context:this.context})}getValue(e,r,i){return this.model.getValue(e,r,i)}setValue(e,r){var n;r=r!=null?r:{mode:"math"},r.insertionMode===void 0&&(r.insertionMode="replaceAll"),(r.format===void 0||r.format==="auto")&&(r.format="latex"),(r.mode===void 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Make sure the Compute Engine library is loaded."),null)}scrollIntoView(){var i;if(!this.element)return;if(this.host){if(this.options.onScrollIntoView)this.options.onScrollIntoView(this);else if(this.host.scrollIntoView({block:"nearest",inline:"nearest"}),window.mathVirtualKeyboard.visible&&window.mathVirtualKeyboard.container===window.document.body){let n=window.mathVirtualKeyboard.boundingRect,o=this.host.getBoundingClientRect();o.bottom>n.top&&((i=window.document.scrollingElement)==null||i.scrollBy(0,o.bottom-n.top+8))}}this.dirty&&vt(this,{interactive:!0});let e=this.field.getBoundingClientRect(),r=null;if(this.model.selectionIsCollapsed)r=Yi(this.field);else{let n=Xa(this);if(n.length>0){let o=-1/0,a=1/0,s=-1/0;for(let c of n)c.right>o&&(o=c.right),c.top<a&&(a=c.top),c.bottom>s&&(s=c.bottom);let l=s-a;r={x:o+e.left-this.field.scrollLeft,y:a+e.top-this.field.scrollTop,height:l}}}if(this.host&&r){let n=this.host.getBoundingClientRect(),o=20,a=r.y,s=r.y+r.height,l=this.host.scrollTop;a<n.top+o?l=a-n.top+this.host.scrollTop-o:s>n.bottom-o&&(l=s-n.bottom+this.host.scrollTop+o),l!==this.host.scrollTop&&this.host.scroll({top:l,behavior:"auto"})}if(r){let n=r.x-window.scrollX,o=this.field.scrollLeft;n<e.left?o=n-e.left+this.field.scrollLeft-20:n>e.right&&(o=n-e.right+this.field.scrollLeft+20),this.field.scroll({top:this.field.scrollTop,left:o})}}insert(e,r){if(typeof e!="string"||e.length===0&&((r==null?void 0:r.insertionMode)==="insertBefore"||(r==null?void 0:r.insertionMode)==="insertAfter")||e.length===0&&this.model.selectionIsCollapsed)return!1;if(this.flushInlineShortcutBuffer(),r=r!=null?r:{mode:"math"},r.focus&&this.focus(),r.feedback&&(globalThis.MathfieldElement.keypressVibration&&Ho()&&navigator.vibrate(xc),globalThis.MathfieldElement.playSound("keypress")),e==="\\\\")Sc(this.model);else if(e==="&")kc(this.model);else if(this.model.selectionIsCollapsed){let i=p({},Wt(this));!/^[a-zA-Z0-9]$/.test(e)&&this.styleBias!=="none"&&(i.variant="normal",i.variantStyle=void 0),q.insert(this.model,e,p({style:i},r))}else q.insert(this.model,e,r);return this.snapshot(`insert-${this.model.at(this.model.position).type}`),Y(this),r.scrollIntoView&&this.scrollIntoView(),!0}switchMode(e,r="",i=""){if(this.model.mode===e||!this.hasEditableContent||!this.contentEditable||this.disabled)return;let{model:n}=this,o=n.mode;if(n.mode=e,this.host&&!this.host.dispatchEvent(new Event("mode-change",{bubbles:!0,composed:!0,cancelable:!0}))){n.mode=o;return}n.mode=o,n.deferNotifications({content:!!i||!!r,selection:!0,type:"insertText"},()=>{let a=n.at(n.position),s=(m,d)=>{if(!m)return;let h=n.mode==="math"?ge(ir(m,{format:"ascii-math"})[1],{context:this.context}):[...m].map(f=>new qe(f,f,{}));if(d.select){let f=a.parent.addChildrenAfter(h,a);n.setSelection(n.offsetOf(h[0].leftSibling),n.offsetOf(f))}else 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r;this.disabled||this.focusBlurInProgress||(this.hasFocus()||(this.programmaticFocusInProgress=!0,this.onFocus(),this.model.announce("line")),(r=e==null?void 0:e.preventScroll)!=null&&r||this.scrollIntoView())}blur(){this.disconnectFromVirtualKeyboard(),this.hasFocus()&&this.keyboardDelegate.blur()}select(){this.model.selection={ranges:[[0,this.model.lastOffset]]},this.focus()}applyStyle(e,r={}){var s;let i,n="set",o=!1;si(r)?i=r:(r.operation==="toggle"&&(n="toggle"),i=r.range,o=(s=r.silenceNotifications)!=null?s:!1),i&&(i=this.model.normalizeRange(i)),i&&i[0]===i[1]&&(i=void 0);let a=ms(this,e);if(i===void 0&&this.model.selectionIsCollapsed){if(n==="set"){let u=p({},this.defaultStyle);"color"in a&&delete u.verbatimColor,"backgroundColor"in a&&delete u.verbatimBackgroundColor,this.defaultStyle=p(p({},u),a),this.styleBias="none";return}let l=Wt(this),c=p({},this.defaultStyle);for(let u of Object.keys(a))l[u]===a[u]?(u==="color"&&delete c.verbatimColor,u==="backgroundColor"&&delete 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this.model.atoms.filter(r=>r.type!=="prompt"?!1:e?!(e.id&&r.placeholderId!==e.id||e.locked&&r.locked!==e.locked||e.correctness==="undefined"&&r.correctness||e.correctness&&r.correctness!==e.correctness):!0).map(r=>r.placeholderId)}setPromptValue(e,r,i){if(r!==void 0){let n=this.getPrompt(e);if(!n){console.error(`MathLive 0.109.0: unknown prompt ${e}`);return}let o=this.model.getBranchRange(this.model.offsetOf(n),"body");this.model.setSelection(o),this.insert(r,g(p({},i),{insertionMode:"replaceSelection"}))}i!=null&&i.silenceNotifications&&(this.valueOnFocus=this.getValue()),Y(this)}setPromptState(e,r,i){let n=this.getPrompt(e);if(!n){console.error(`MathLive 0.109.0: unknown prompt ${e}`);return}r==="undefined"?n.correctness=void 0:typeof r=="string"&&(n.correctness=r),typeof i=="boolean"&&(n.locked=i,n.captureSelection=i),Y(this)}getPromptState(e){let r=this.getPrompt(e);return r?[r.correctness,r.locked]:(console.error(`MathLive 0.109.0: unknown prompt ${e}`),[void 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e;this.undoManager.redo()&&((e=this.host)==null||e.dispatchEvent(new CustomEvent("undo-state-change",{bubbles:!0,composed:!0,detail:{type:"redo"}})))}resetUndo(){var e;(e=this.undoManager)==null||e.reset()}onSelectionDidChange(){var r,i;let e=this.model;if(e.mathfield.hasFocus()&&this.keyboardDelegate.setValue(e.getValue(e.selection,"latex-expanded")),e.selectionIsCollapsed){let n=ao(e),o=e.position,a=e.at(o),s=(r=a.mode)!=null?r:wc(this.options);if(n&&(o<e.offsetOf(n.firstChild)||o>e.offsetOf(n.lastChild))){Xe(this,"accept",{mode:s});let l=e.offsetOf(a);l>=0&&(e.position=l)}else{let l=e.at(o+1);(l==null?void 0:l.type)==="first"&&l.mode==="latex"?e.position=o+1:n&&(l==null?void 0:l.mode)!=="latex"?e.position=o-1:this.switchMode(s)}}(i=this.host)==null||i.dispatchEvent(new Event("selection-change",{bubbles:!0,composed:!0})),window.mathVirtualKeyboard.visible&&window.mathVirtualKeyboard.update(jt(this)),ko(this)}onContentWillChange(e){var r,i,n;return(n=(i=this.host)==null?void 0:i.dispatchEvent(new InputEvent("beforeinput",g(p({},e),{data:e.data?e.data:(r=e.inputType)!=null?r:"",cancelable:!0,bubbles:!0,composed:!0}))))!=null?n:!0}onFocus(e){if(this.disabled||this.focusBlurInProgress||!this.blurred)return;let r=t._globallyFocusedMathfield;r&&r!==this&&!r.disabled&&r.hasFocus()&&r.onBlur({dispatchEvents:!0}),this.focusBlurInProgress=!0,this.blurred=!1,t._globallyFocusedMathfield=this,this.stopCoalescingUndo(),this.valueOnFocus=this.model.getValue(),this.hasEditablePrompts&&!this.model.at(this.model.anchor).parentPrompt&&this.executeCommand("moveToNextPlaceholder"),vt(this,{interactive:!0}),setTimeout(()=>{var n,o;if(!it(this))return;if((n=e==null?void 0:e.suppressEvents)!=null?n:!1){let a=new AbortController,s=a.signal,l=c=>{c.preventDefault(),c.stopPropagation()};for(let c 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UIEvent("focusout",{bubbles:!0,composed:!0}))),Y(this),this.focusBlurInProgress=!1,Ks(),bn.restoreFocusWhenDocumentFocused){let s=new AbortController,l=s.signal;window.addEventListener("blur",()=>{window.addEventListener("focus",()=>{it(this)&&this.focus({preventScroll:!0})},{once:!0,signal:l})},{once:!0,signal:l}),document.addEventListener("focusin",()=>s.abort(),{once:!0}),document.addEventListener("click",()=>s.abort(),{once:!0})}}onInput(e){_o(this,e)}onKeystroke(e){return Tc(this,e)}onCompositionStart(e){st(this.model,de(this.model.selection),"insertText");let r=Yi(this.field);r&&requestAnimationFrame(()=>{vt(this),this.keyboardDelegate.moveTo(r.x,r.y-r.height)})}onCompositionUpdate(e){zp(this.model,e),Y(this)}onCompositionEnd(e){Np(this.model),_o(this,e,{simulateKeystroke:!0})}onCut(e){if(!this.isSelectionEditable){this.model.announce("plonk");return}this.model.contentWillChange({inputType:"deleteByCut"})&&(this.stopCoalescingUndo(),e.clipboardData?q.onCopy(this,e):q.copyToClipboard(this,"latex"),st(this.model,de(this.model.selection),"deleteByCut"),this.snapshot("cut"),Y(this))}onCopy(e){e.clipboardData?q.onCopy(this,e):q.copyToClipboard(this,"latex")}onPaste(e){let r=this.isSelectionEditable;return r&&(r=q.onPaste(this.model.at(this.model.position).mode,this,e.clipboardData)),r||this.model.announce("plonk"),e.preventDefault(),e.stopPropagation(),r}onGeometryChange(){var e;(e=this._menu)==null||e.hide(),gn(this),ko(this)}onWheel(e){let r=5*e.deltaX;if(!Number.isFinite(r)||r===0)return;let i=this.field;r<0&&i.scrollLeft===0||r>0&&i.offsetWidth+i.scrollLeft>=i.scrollWidth||(i.scrollBy({top:0,left:r}),e.preventDefault(),e.stopPropagation())}getHTMLElement(e){let r=e;for(;!r.id&&r.hasChildren;)r=e.children[0];return this.field.querySelector(`[data-atom-id="${r.id}"]`)}get context(){var e,r;return{registers:(e=this.options.registers)!=null?e:{},smartFence:this.smartFence,letterShapeStyle:this.letterShapeStyle,minFontScale:this.minFontScale,maxMatrixCols:this.maxMatrixCols,placeholderSymbol:(r=this.options.placeholderSymbol)!=null?r:"\u25A2",colorMap:i=>this.colorMap(i),backgroundColorMap:i=>this.backgroundColorMap(i),getMacro:i=>Ki(i,this.options.macros),atomIdsSettings:{seed:"random",groupNumbers:!1}}}};fe({speak:(t,e,r)=>yy(t,e,r)},{target:"mathfield"});function yy(t,e,r){var c;r=r!=null?r:{withHighlighting:!1};let{model:i}=t;function n(u){let m=null;switch(u){case"all":m=i.root;break;case"selection":m=i.getAtoms(i.selection);break;case"left":{m=i.getAtoms(i.offsetOf(i.at(i.position).leftSibling),i.position);break}case"right":{m=i.getAtoms(i.position,i.offsetOf(i.at(i.position).rightSibling));break}case"group":m=i.getAtoms(i.getSiblingsRange(i.position));break;case"parent":{let{parent:d}=i.at(i.position);d!=null&&d.parent?m=d:m=i.root;break}default:m=i.root}return m}function o(u){let m="";switch(u){case"all":console.error("Internal failure: speak all failed");break;case"selection":m="no selection";break;case"left":m="at start";break;case"right":m="at end";break;case"group":console.error("Internal failure: speak group failed");break;case"parent":m="no parent";break;default:console.error('unknown speak_ param value: "'+u+'"');break}return m}let a=globalThis.MathfieldElement,s=n(e);if(s===null)return(c=a.speakHook)==null||c.call(a,o(e)),!1;(r.withHighlighting||a.speechEngine==="amazon")&&(a.textToSpeechMarkup=globalThis.sre&&a.textToSpeechRules==="sre"?"ssml_step":"ssml");let l=kt(s);return ke()&&r.withHighlighting?(Lt().readAloudMathfield=t,vt(t,{forHighlighting:!0}),a.readAloudHook&&a.readAloudHook(t.field,l)):a.speakHook&&a.speakHook(l),!1}function Oh(t){var r,i;if(!ke())return;let e=globalThis.MathfieldElement;if(!e.speechEngine||e.speechEngine==="local"){let n=new SpeechSynthesisUtterance(t);globalThis.speechSynthesis.speak(n)}else if(e.speechEngine==="amazon")if(!("AWS"in window))console.error("MathLive 0.109.0: AWS SDK not loaded. See https://www.npmjs.com/package/aws-sdk");else{let n=new globalThis.AWS.Polly({apiVersion:"2016-06-10"}),o={OutputFormat:"mp3",VoiceId:(r=e.speechEngineVoice)!=null?r:"Joanna",Engine:["Amy","Emma","Brian","Ivy","Joanna","Kendra","Kimberly","Salli","Joey","Justin","Matthew"].includes((i=e.speechEngineVoice)!=null?i:"Joanna")?"neural":"standard",Text:t,TextType:"ssml"};n.synthesizeSpeech(o,(a,s)=>{if(a)console.trace(`MathLive 0.109.0: \`polly.synthesizeSpeech()\` error: ${a}`);else if(s!=null&&s.AudioStream){let l=new Uint8Array(s.AudioStream),c=new Blob([l.buffer],{type:"audio/mpeg"}),u=URL.createObjectURL(c);new Audio(u).play().catch(d=>console.error(d))}})}else e.speechEngine==="google"&&console.error("MathLive 0.109.0: The Google speech engine is not supported yet. Please come again.")}function Bh(t){if(t&&(t.classList.remove("ML__highlight"),t.children))for(let e of t.children)Bh(e)}function tu(t,e){var r;t&&(!e||((r=t.dataset)==null?void 0:r.atomId)===e?(t.classList.add("ML__highlight"),t.children&&t.children.length>0&&[...t.children].forEach(i=>{i instanceof HTMLElement&&tu(i)})):(t.classList.remove("ML__highlight"),t.children&&t.children.length>0&&[...t.children].forEach(i=>{i instanceof HTMLElement&&tu(i,e)})))}function Kh(t,e){var n;if(!ke())return;if(globalThis.MathfieldElement.speechEngine!=="amazon"){console.error("MathLive 0.109.0: Use Amazon TTS Engine for synchronized highlighting"),typeof globalThis.MathfieldElement.speakHook=="function"&&globalThis.MathfieldElement.speakHook(e);return}if(!globalThis.AWS){console.error("MathLive 0.109.0: AWS SDK not loaded. See https://www.npmjs.com/package/aws-sdk");return}let r=new globalThis.AWS.Polly({apiVersion:"2016-06-10"}),i={OutputFormat:"json",VoiceId:(n=globalThis.MathfieldElement.speechEngineVoice)!=null?n:"Joanna",Engine:"standard",Text:e,TextType:"ssml",SpeechMarkTypes:["ssml"]};Lt().readAloudElement=t,r.synthesizeSpeech(i,(o,a)=>{if(o){console.trace(`MathLive 0.109.0: \`polly.synthesizeSpeech()\` error: ${o}`);return}if(!(a!=null&&a.AudioStream))return;let s=new TextDecoder("utf-8").decode(new Uint8Array(a.AudioStream));Lt().readAloudMarks=s.split(`
`).map(l=>l?JSON.parse(l):{}),Lt().readAloudTokens=[];for(let l of Lt().readAloudMarks)l.value&&Lt().readAloudTokens.push(l.value);Lt().readAloudCurrentMark="",i.OutputFormat="mp3",i.SpeechMarkTypes=[],r.synthesizeSpeech(i,(l,c)=>{if(l){console.trace(`MathLive 0.109.0: \`polly.synthesizeSpeech("${e}") error:${l}`);return}if(!(c!=null&&c.AudioStream))return;let u=new Uint8Array(c.AudioStream),m=new Blob([u.buffer],{type:"audio/mpeg"}),d=URL.createObjectURL(m),h=Lt();h.readAloudAudio?h.readAloudAudio.pause():(h.readAloudAudio=new Audio,h.readAloudAudio.addEventListener("ended",()=>{let f=h.readAloudMathfield;h.readAloudStatus="ended",document.body.dispatchEvent(new Event("read-aloud-status-change",{bubbles:!0,composed:!0})),f?(vt(f),h.readAloudElement=null,h.readAloudMathfield=null,h.readAloudTokens=[],h.readAloudMarks=[],h.readAloudCurrentMark=""):Bh(h.readAloudElement)}),h.readAloudAudio.addEventListener("timeupdate",()=>{let f="",x=h.readAloudAudio.currentTime*1e3+100;for(let _ of h.readAloudMarks)_.time<x&&(f=_.value);h.readAloudCurrentMark!==f&&(h.readAloudCurrentToken=f,f&&f===h.readAloudFinalToken?h.readAloudAudio.pause():(h.readAloudCurrentMark=f,tu(h.readAloudElement,h.readAloudCurrentMark)))})),h.readAloudAudio.src=d,h.readAloudStatus="playing",document.body.dispatchEvent(new Event("read-aloud-status-change",{bubbles:!0,composed:!0})),h.readAloudAudio.play()})})}ke()||console.error('MathLive 0.109.0: this version of the MathLive library is for use in the browser. A subset of the API is available on the server side in the "mathlive-ssr" library. If using server side rendering (with React for example) you may want to do a dynamic import of the MathLive library inside a `useEffect()` call.');var Q=new WeakMap,xy=.5,jr={letterShapeStyle:"mf.letterShapeStyle = ...",horizontalSpacingScale:'Removed. Use `"thinmuskip"`, `"medmuskip"`, and `"thickmuskip"` registers ',macros:"mf.macros = ...",registers:"mf.registers = ...",backgroundColorMap:"mf.backgroundColorMap = ...",colorMap:"mf.colorMap = ...",enablePopover:"mf.popoverPolicy = ...",mathModeSpace:"mf.mathModeSpace = ...",placeholderSymbol:"mf.placeholderSymbol = ...",readOnly:"mf.readOnly = ...",removeExtraneousParentheses:"mf.removeExtraneousParentheses = ...",scriptDepth:"mf.scriptDepth = ...",smartFence:"mf.smartFence = ...",smartMode:"mf.smartMode = ...",smartSuperscript:"mf.smartSuperscript = ...",inlineShortcutTimeout:"mf.inlineShortcutTimeout = ...",inlineShortcuts:"mf.inlineShortcuts = ...",keybindings:"mf.keybindings = ...",virtualKeyboardMode:"mf.mathVirtualKeyboardPolicy = ...",customVirtualKeyboardLayers:"mathVirtualKeyboard.layers = ...",customVirtualKeyboards:"mathVirtualKeyboard.layouts = ...",keypressSound:"mathVirtualKeyboard.keypressSound = ...",keypressVibration:"mathVirtualKeyboard.keypressVibration = ...",plonkSound:"mathVirtualKeyboard.plonkSound = ...",virtualKeyboardContainer:"mathVirtualKeyboard.container = ...",virtualKeyboardLayout:"mathVirtualKeyboard.alphabeticLayout = ...",virtualKeyboardTheme:"No longer supported",virtualKeyboardToggleGlyph:"No longer supported",virtualKeyboardToolbar:"mathVirtualKeyboard.editToolbar = ...",virtualKeyboards:"Use `mathVirtualKeyboard.layouts`",speechEngine:"`MathfieldElement.speechEngine`",speechEngineRate:"`MathfieldElement.speechEngineRate`",speechEngineVoice:"`MathfieldElement.speechEngineVoice`",textToSpeechMarkup:"`MathfieldElement.textToSpeechMarkup`",textToSpeechRules:"`MathfieldElement.textToSpeechRules`",textToSpeechRulesOptions:"`MathfieldElement.textToSpeechRulesOptions`",readAloudHook:"`MathfieldElement.readAloudHook`",speakHook:"`MathfieldElement.speakHook`",computeEngine:"`MathfieldElement.computeEngine`",fontsDirectory:"`MathfieldElement.fontsDirectory`",soundsDirectory:"`MathfieldElement.soundsDirectory`",createHTML:"`MathfieldElement.createHTML`",onExport:"`mf.onExport`",onInlineShortcut:"`mf.onInlineShortcut`",onScrollIntoView:"`mf.onScrollIntoView`",locale:"MathfieldElement.locale = ...",strings:"MathfieldElement.strings = ...",decimalSeparator:"MathfieldElement.decimalSeparator = ...",fractionNavigationOrder:"MathfieldElement.fractionNavigationOrder = ..."},se=class se extends HTMLElement{constructor(r){super();this._observer=null;if(r){let i=[];for(let n of Object.keys(r))if(jr[n])if(jr[n].startsWith("mf."))if(jr[n].startsWith(`mf.${n}`))i.push(`Option \`${n}\` cannot be used as a constructor option. Use ${jr[n]}`);else{let o=jr[n].match(/([a-zA-Z]+) =/);i.push(`Option \`${n}\` has been renamed \`${o[1]}\``)}else i.push(`Option \`${n}\` cannot be used as a constructor option. Use ${jr[n]}`);if(i.length>0){console.group("%cMathLive 0.109.0: %cInvalid Options","color:#12b; font-size: 1.1rem","color:#db1111; font-size: 1.1rem"),console.warn("Some of the options passed to `new MathfieldElement(...)` are invalid. \n          See mathfield/changelog/ for details.");for(let n of i)console.warn(n);console.groupEnd()}}if(Dn()&&(this._internals=this.attachInternals(),this._internals.role="math",this._internals.ariaLabel="math input field",this._internals.ariaMultiLine="false"),this.attachShadow({mode:"open",delegatesFocus:!0}),this.shadowRoot&&"adoptedStyleSheets"in this.shadowRoot){this.shadowRoot.adoptedStyleSheets=[or("core"),or("mathfield"),or("mathfield-element"),or("ui"),or("menu")],this.shadowRoot.appendChild(document.createElement("span"));let i=document.createElement("slot");i.style.display="none",this.shadowRoot.appendChild(i)}else this.shadowRoot.innerHTML="<style>"+Nt("core")+Nt("mathfield")+Nt("mathfield-element")+Nt("ui")+Nt("menu")+'</style><span></span><slot style="display:none"></slot>';r&&this._setOptions(r)}static get formAssociated(){return Dn()}static get optionsAttributes(){return{"default-mode":"string","letter-shape-style":"string","min-font-scale":"number","max-matrix-cols":"number","popover-policy":"string","math-mode-space":"string","read-only":"boolean","remove-extraneous-parentheses":"on/off","smart-fence":"on/off","smart-mode":"on/off","smart-superscript":"on/off","inline-shortcut-timeout":"string","script-depth":"string",placeholder:"string","virtual-keyboard-target-origin":"string","math-virtual-keyboard-policy":"string"}}static get observedAttributes(){return[...Object.keys(this.optionsAttributes),"contenteditable","disabled","readonly","read-only"]}static get fontsDirectory(){return this._fontsDirectory}static set fontsDirectory(r){r!==this._fontsDirectory&&(this._fontsDirectory=r,Dp())}get fontsDirectory(){throw new Error("Use MathfieldElement.fontsDirectory instead")}set fontsDirectory(r){throw new Error("Use MathfieldElement.fontsDirectory instead")}static get soundsDirectory(){return this._soundsDirectory}static set soundsDirectory(r){this._soundsDirectory=r,this.audioBuffers={}}get soundsDirectory(){throw new Error("Use MathfieldElement.soundsDirectory instead")}set soundsDirectory(r){throw new Error("Use MathfieldElement.soundsDirectory instead")}static get keypressSound(){return this._keypressSound}static set keypressSound(r){var i,n,o;this.audioBuffers={},r===null?this._keypressSound={spacebar:null,return:null,delete:null,default:null}:typeof r=="string"?this._keypressSound={spacebar:r,return:r,delete:r,default:r}:typeof r=="object"&&"default"in r&&(this._keypressSound={spacebar:(i=r.spacebar)!=null?i:r.default,return:(n=r.return)!=null?n:r.default,delete:(o=r.delete)!=null?o:r.default,default:r.default})}static get plonkSound(){return this._plonkSound}static set plonkSound(r){this.audioBuffers={},this._plonkSound=r}static get audioContext(){return this._audioContext||(this._audioContext=new AudioContext),this._audioContext}static get speechEngine(){return this._speechEngine}static set speechEngine(r){this._speechEngine=r}static get speechEngineRate(){return this._speechEngineRate}static set speechEngineRate(r){this._speechEngineRate=r}static get speechEngineVoice(){return this._speechEngineVoice}static set speechEngineVoice(r){this._speechEngineVoice=r}static get textToSpeechMarkup(){return this._textToSpeechMarkup}static set textToSpeechMarkup(r){this._textToSpeechMarkup=r}static get textToSpeechRules(){return this._textToSpeechRules}static set textToSpeechRules(r){this._textToSpeechRules=r}static get textToSpeechRulesOptions(){return this._textToSpeechRulesOptions}static set textToSpeechRulesOptions(r){this._textToSpeechRulesOptions=r}static get locale(){return F.locale}static set locale(r){r==="auto"&&(r=navigator.language.slice(0,5)),F.locale=r}get locale(){throw new Error("Use MathfieldElement.locale instead")}set locale(r){throw new Error("Use MathfieldElement.locale instead")}static get strings(){return F.strings}static set strings(r){F.merge(r)}get strings(){throw new Error("Use MathfieldElement.strings instead")}set strings(r){throw new Error("Use MathfieldElement.strings instead")}static get decimalSeparator(){return this._decimalSeparator}static set decimalSeparator(r){this._decimalSeparator=r,this._computeEngine&&(this._computeEngine.decimalSeparator=this.decimalSeparator===","?"{,}":".")}get decimalSeparator(){throw new Error("Use MathfieldElement.decimalSeparator instead")}set decimalSeparator(r){throw new Error("Use MathfieldElement.decimalSeparator instead")}static set scientificNotationTemplate(r){this._scientificNotationTemplate=r}static get scientificNotationTemplate(){return this._scientificNotationTemplate}static get fractionNavigationOrder(){return mn.fractionNavigationOrder}static set fractionNavigationOrder(r){if(r!=="numerator-denominator"&&r!=="denominator-numerator")throw new Error("Invalid value");mn.fractionNavigationOrder!==r&&(mn.fractionNavigationOrder=r,yc())}static get computeEngine(){var r,i;if(this._computeEngine===void 0){let n=(r=window[Symbol.for("io.cortexjs.compute-engine")])==null?void 0:r.ComputeEngine;if(!n)return null;this._computeEngine=new n,this._computeEngine&&this.decimalSeparator===","&&(this._computeEngine.decimalSeparator="{,}")}return(i=this._computeEngine)!=null?i:null}static set computeEngine(r){this._computeEngine=r}get computeEngine(){throw new Error("Use MathfieldElement.computeEngine instead")}set computeEngine(r){throw new Error("Use MathfieldElement.computeEngine instead")}static get isFunction(){return typeof this._isFunction!="function"?()=>!1:this._isFunction}static set isFunction(r){this._isFunction=r,yc()}static async loadSound(r){delete this.audioBuffers[r];let i="";switch(r){case"keypress":i=this._keypressSound.default;break;case"return":i=this._keypressSound.return;break;case"spacebar":i=this._keypressSound.spacebar;break;case"delete":i=this._keypressSound.delete;break;case"plonk":i=this.plonkSound;break}if(typeof i!="string")return;i=i.trim();let n=this.soundsDirectory;if(!(n==null||n==="null"||i==="none"||i==="null"))try{let a=await(await fetch(await hs(`${n}/${i}`))).arrayBuffer(),s=await this.audioContext.decodeAudioData(a);this.audioBuffers[r]=s}catch(o){}}static async playSound(r){if((this.audioContext.state==="suspended"||this.audioContext.state==="interrupted")&&await this.audioContext.resume(),this.audioBuffers[r]||await this.loadSound(r),!this.audioBuffers[r])return;let i=this.audioContext.createBufferSource();i.buffer=this.audioBuffers[r];let n=this.audioContext.createGain();n.gain.value=xy,i.connect(n).connect(this.audioContext.destination),i.start()}showMenu(r){var i,n;return(n=(i=this._mathfield)==null?void 0:i.showMenu(r))!=null?n:!1}get mathVirtualKeyboard(){throw new Error("The `mathVirtualKeyboard` property is not available on the MathfieldElement. Use `window.mathVirtualKeyboard` instead.")}onPointerDown(){window.addEventListener("pointerup",r=>{let i=this._mathfield;if(i&&r.target===this&&!i.disabled){this.dispatchEvent(new MouseEvent("click",{altKey:r.altKey,button:r.button,buttons:r.buttons,clientX:r.clientX,clientY:r.clientY,ctrlKey:r.ctrlKey,metaKey:r.metaKey,movementX:r.movementX,movementY:r.movementY,relatedTarget:r.relatedTarget,screenX:r.screenX,screenY:r.screenY,shiftKey:r.shiftKey}));let n=this.getOffsetFromPoint(r.clientX,r.clientY);n>=0&&se.openUrl(W0(i,n)),r.pointerType==="touch"&&this.selectionIsCollapsed&&(this.position=n)}},{once:!0})}getPromptValue(r,i){var n,o;return(o=(n=this._mathfield)==null?void 0:n.getPromptValue(r,i))!=null?o:""}setPromptValue(r,i,n){var o;(o=this._mathfield)==null||o.setPromptValue(r,i,n)}getPromptRange(r){var i,n;return(n=(i=this._mathfield)==null?void 0:i.getPromptRange(r))!=null?n:null}getPrompts(r){var i,n;return(n=(i=this._mathfield)==null?void 0:i.getPrompts(r))!=null?n:[]}get hasEditableContent(){var r,i;return(i=(r=this._mathfield)==null?void 0:r.hasEditableContent)!=null?i:!1}get form(){var r;return(r=this._internals)==null?void 0:r.form}get name(){var r;return(r=this.getAttribute("name"))!=null?r:""}get type(){return this.localName}get mode(){var r,i;return(i=(r=this._mathfield)==null?void 0:r.model.mode)!=null?i:this.defaultMode==="text"?"text":"math"}set mode(r){var i;(i=this._mathfield)==null||i.switchMode(r)}get expression(){if(this._mathfield)return window[Symbol.for("io.cortexjs.compute-engine")]?this._mathfield.expression:(console.error(`MathLive 0.109.0: The CortexJS Compute Engine library is not available.
        
        Load the library, for example with:
        
        import "https://esm.run/@cortex-js/compute-engine"`),null)}set expression(r){var n,o;if(!this._mathfield)return;let i=(o=(n=se.computeEngine)==null?void 0:n.box(r).latex)!=null?o:null;i!==null&&this._mathfield.setValue(i),window[Symbol.for("io.cortexjs.compute-engine")]||console.error(`MathLive 0.109.0: The Compute Engine library is not available.
        
        Load the library, for example with:
        
        import "https://esm.run/@cortex-js/compute-engine"`)}get errors(){var r,i;return(i=(r=this._mathfield)==null?void 0:r.errors)!=null?i:[]}_getOptions(r){return this._mathfield?pr(this._mathfield.options,r):Q.has(this)?p({},pr(p(p({},Mn()),_n(Q.get(this).options)),r)):null}getOptions(r){return console.warn("%cMathLive 0.109.0: %cDeprecated Usage%c\n      `mf.getOptions()` is deprecated. Read the property directly on the mathfield instead.\n      See mathfield/changelog/ for details.","color:#12b; font-size: 1.1rem","color:#db1111; font-size: 1.1rem","color: inherit, font-size: 1rem"),this._mathfield?pr(this._mathfield.options,r):Q.has(this)?pr(p(p({},Mn()),_n(Q.get(this).options)),r):null}reflectAttributes(){let r=Mn(),i=this._getOptions();Object.keys(se.optionsAttributes).forEach(n=>{let o=n==="placeholder"?"contentPlaceholder":hr(n);se.optionsAttributes[n]==="on/off"?r[o]!==i[o]?this.setAttribute(n,i[o]?"on":"off"):this.removeAttribute(n):r[o]!==i[o]&&(se.optionsAttributes[n]==="boolean"?i[o]?this.setAttribute(n,""):this.removeAttribute(n):(typeof i[o]=="string"||typeof i[o]=="number")&&this.setAttribute(n,i[o].toString()))})}getOption(r){return console.warn("%cMathLive 0.109.0: %cDeprecated Usage%c\n      `mf.getOption()` is deprecated. Read the property directly on the mathfield instead.\n      See mathfield/changelog/ for details.","color:#12b; font-size: 1.1rem","color:#db1111; font-size: 1.1rem","color: inherit, font-size: 1rem"),this._getOptions([r])[r]}_getOption(r){return this._getOptions([r])[r]}_setOptions(r){if(this._mathfield)this._mathfield.setOptions(r);else if(Q.has(this)){let i=p(p({},Q.get(this).options),r);Q.set(this,g(p({},Q.get(this)),{selection:{ranges:i.readOnly?[[0,0]]:[[0,-1]]},options:i}))}else Q.set(this,{value:void 0,selection:{ranges:[[0,0]]},options:r,menuItems:void 0});this.reflectAttributes()}setOptions(r){console.group("%cMathLive 0.109.0: %cDeprecated Usage","color:#12b; font-size: 1.1rem","color:#db1111; font-size: 1.1rem"),console.warn(" `mf.setOptions()` is deprecated. Set the property directly on the mathfield instead.\n      See mathfield/changelog/ for details.");for(let i of Object.keys(r))jr[i]&&console.warn(`\`mf.setOptions({${i}:...})\` -> ${jr[i]}`);console.groupEnd(),this._setOptions(r)}executeCommand(...r){var n,o;let i;if(r.length===1?i=r[0]:i=[r[0],...r.slice(1)],i)return(o=(n=this._mathfield)==null?void 0:n.executeCommand(i))!=null?o:!1;throw new Error("Invalid selector")}getValue(r,i,n){var o,a;if(this._mathfield)return this._mathfield.model.getValue(r,i,n);if(Q.has(this)){let s,l,c;if(Xi(r)?([s,l]=r.ranges[0],c=i):si(r)?([s,l]=r,c=i):It(r)&&It(i)?(s=r,l=i,c=n):(s=0,l=-1,c=r),(c===void 0||c==="latex")&&s===0&&l===-1)return(a=(o=Q.get(this).value)!=null?o:this.textContent)!=null?a:""}return""}setValue(r,i){if(this._mathfield&&r!==void 0){if(this._mathfield.model.getValue()===r)return;i!=null||(i={silenceNotifications:!0,mode:"math"}),this._mathfield.setValue(r,i);return}if(Q.has(this)){let 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this._shadowRoot)this._shadowRoot.adoptedStyleSheets=[or("core")];else{let r=document.createElement("style");r.textContent=Nt("core"),this._shadowRoot.appendChild(r)}this._contentSlot=document.createElement("div"),this._contentSlot.style.display="none",this._contentSlot.setAttribute("part","content"),this._renderContainer=document.createElement("div"),this._renderContainer.setAttribute("part","render"),this._renderContainer.setAttribute("aria-hidden","true"),this._errorFallback=document.createElement("div"),this._errorFallback.style.display="none",this._errorFallback.setAttribute("part","error"),this._shadowRoot.appendChild(this._contentSlot),this._shadowRoot.appendChild(this._renderContainer),this._shadowRoot.appendChild(this._errorFallback),this.addEventListener("keydown",this._handleKeydown.bind(this))}static get observedAttributes(){return["mode","format","macros","letter-shape-style","min-font-scale","max-matrix-cols"]}connectedCallback(){Ay(),"IntersectionObserver"in window&&!this._hasRendered?(this._observer=new IntersectionObserver(r=>{var i;r[0].isIntersecting&&!this._hasRendered&&(this.render(),(i=this._observer)==null||i.disconnect())},{rootMargin:"50px"}),this._observer.observe(this)):this.render()}disconnectedCallback(){var r;(r=this._observer)==null||r.disconnect()}attributeChangedCallback(r,i,n){i!==n&&this._hasRendered&&this.render()}_handleKeydown(r){if(this.getAttribute("tabindex")!==null&&(r.key===" "||r.key==="Enter")){r.preventDefault();let n=this.getAttribute("aria-label");if(n&&"speechSynthesis"in window){let o=new SpeechSynthesisUtterance(n);speechSynthesis.speak(o)}}}get mode(){let r=this.getAttribute("mode");return r==="textstyle"||r==="displaystyle"?r:this.getDefaultMathstyle()}set mode(r){this.setAttribute("mode",r)}get format(){let r=this.getAttribute("format");return r==="latex"||r==="ascii-math"||r==="math-json"?r:"latex"}set format(r){this.setAttribute("format",r)}get letterShapeStyle(){let r=this.getAttribute("letter-shape-style");if(r==="auto"||r==="tex"||r==="iso"||r==="french"||r==="upright")return r}set letterShapeStyle(r){r===void 0?this.removeAttribute("letter-shape-style"):this.setAttribute("letter-shape-style",r)}get macros(){var r;return(r=this.getAttribute("macros"))!=null?r:void 0}set macros(r){r===void 0?this.removeAttribute("macros"):this.setAttribute("macros",r)}get minFontScale(){let r=this.getAttribute("min-font-scale");return r?parseFloat(r):void 0}set minFontScale(r){r===void 0?this.removeAttribute("min-font-scale"):this.setAttribute("min-font-scale",String(r))}get maxMatrixCols(){let r=this.getAttribute("max-matrix-cols");return r?parseInt(r,10):void 0}set maxMatrixCols(r){r===void 0?this.removeAttribute("max-matrix-cols"):this.setAttribute("max-matrix-cols",String(r))}render(){var r,i,n;try{let o=(i=(r=this.textContent)==null?void 0:r.trim())!=null?i:"";if(!o){this._renderContainer.innerHTML="",this._errorFallback.style.display="none",this._renderContainer.style.display="none",this._removeMathML();return}this._contentSlot.textContent=o;let a,s=this.format;if(s==="ascii-math")a=Hc(o);else if(s==="math-json"){let u=JSON.parse(o);a=Bo(u)}else a=o;let l={defaultMode:this.mode==="displaystyle"?"math":"inline-math"};if(this.letterShapeStyle&&(l.letterShapeStyle=this.letterShapeStyle),this.macros)try{l.macros=JSON.parse(this.macros)}catch(u){console.warn("Invalid macros JSON:",u)}this.minFontScale!==void 0&&(l.minFontScale=this.minFontScale),this.maxMatrixCols!==void 0&&(l.maxMatrixCols=this.maxMatrixCols);let c=he(a,l);this._renderContainer.innerHTML=c,this._renderContainer.style.display=this.getDefaultDisplay(),this._errorFallback.style.display="none",this._updateAccessibility(a),this._hasRendered=!0,this.dispatchEvent(new CustomEvent("render",{bubbles:!0,composed:!0,detail:{format:s,content:a}}))}catch(o){console.error("MathLive static element render error:",o),this._renderContainer.style.display="none",this._errorFallback.textContent=(n=this.textContent)!=null?n:"",this._errorFallback.style.display="block",this._removeMathML(),this.dispatchEvent(new CustomEvent("render-error",{bubbles:!0,composed:!0,detail:{error:o,content:this.textContent}}))}}_updateAccessibility(r){if(!this.hasAttribute("aria-label"))try{let i=Oo(r);this.setAttribute("aria-label",i)}catch(i){console.warn("Could not generate speakable text:",i)}this.hasAttribute("role")||this.setAttribute("role","img"),this._addMathML(r)}_addMathML(r){try{let i=Do(r);this._mathMLContainer||(this._mathMLContainer=document.createElement("div"),this._mathMLContainer.style.position="absolute",this._mathMLContainer.style.width="1px",this._mathMLContainer.style.height="1px",this._mathMLContainer.style.overflow="hidden",this._mathMLContainer.style.clip="rect(0, 0, 0, 0)",this._mathMLContainer.setAttribute("aria-hidden","false"),this._shadowRoot.appendChild(this._mathMLContainer)),this._mathMLContainer.innerHTML=i}catch(i){console.warn("Could not generate MathML:",i)}}_removeMathML(){this._mathMLContainer&&(this._mathMLContainer.remove(),this._mathMLContainer=void 0)}},zo=class extends Js{getDefaultMathstyle(){return"textstyle"}getDefaultDisplay(){return"inline-flex"}},No=class extends Js{getDefaultMathstyle(){return"displaystyle"}getDefaultDisplay(){return"flex"}};function Cy(){var t,e,r,i;typeof window!="undefined"&&((t=window.customElements)!=null&&t.get("math-span")||(e=window.customElements)==null||e.define("math-span",zo),(r=window.customElements)!=null&&r.get("math-div")||(i=window.customElements)==null||i.define("math-div",No))}Cy();function Lt(){var t,e;return(e=globalThis[t=Symbol.for("io.cortexjs.mathlive")])!=null||(globalThis[t]={}),globalThis[Symbol.for("io.cortexjs.mathlive")]}function Ey(t){document.readyState==="loading"?document.addEventListener("DOMContentLoaded",()=>Gs(document.body,t)):Gs(document.body,t)}function Ty(t){if(typeof t=="string"){let e=document.getElementById(t);if(e===null)throw new Error(`The element with ID "${t}" could not be found.`);return e}return t}function Gs(t,e){var n,o,a,s;if(document.readyState==="loading"){document.addEventListener("DOMContentLoaded",()=>Gs(t,e));return}let r=Ty(t);if(!r)return;let i=e!=null?e:{};(n=i.renderToMarkup)!=null||(i.renderToMarkup=he),(o=i.renderToMathML)!=null||(i.renderToMathML=Do),(a=i.renderToSpeakableText)!=null||(i.renderToSpeakableText=Oo),(s=i.serializeToLatex)!=null||(i.serializeToLatex=Bo),iu(r,i)}var Dy={mathlive:"0.109.0"};return Xh(Oy);})();
Object.assign(exports, MathLive); Object.defineProperty(exports, '__esModule', { value: true });}));