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/** MathLive 0.93.0 */
    (function(global,factory){typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports) : typeof define === 'function' && define.amd ? define(['exports'],factory):(global = typeof globalThis !== 'undefined' ? globalThis : global || self, factory(global.MathLive = {}));})(this, (function (exports) { 'use strict';
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stroke="${this.strokeColor}"`,l+=' stroke-linecap="round"',this.svgStrokeStyle&&(l+=` stroke-dasharray="${this.svgStrokeStyle}"`),l+="/>"),this.notation.verticalstrike&&(l+='<line x1="50%"  y1="3%" x2="50%" y2="97%"',l+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,l+=' stroke-linecap="round"',this.svgStrokeStyle&&(l+=` stroke-dasharray="${this.svgStrokeStyle}"`),l+="/>"),this.notation.updiagonalstrike&&(l+='<line x1="3%"  y1="97%" x2="97%" y2="3%"',l+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,l+=' stroke-linecap="round"',this.svgStrokeStyle&&(l+=` stroke-dasharray="${this.svgStrokeStyle}"`),l+="/>"),this.notation.downdiagonalstrike&&(l+='<line x1="3%"  y1="3%" x2="97%" y2="97%"',l+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,l+=' stroke-linecap="round"',this.svgStrokeStyle&&(l+=` stroke-dasharray="${this.svgStrokeStyle}"`),l+="/>"),l){let d;this.shadow!=="none"&&(d=this.shadow==="auto"?"filter: drop-shadow(0 0 .5px 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fromJson(r){return new it(r.command,r.above,r.below,r)}toJson(){let r={};return this.continuousFraction&&(r.continuousFraction=!0),this.numerPrefix&&(r.numerPrefix=this.numerPrefix),this.denomPrefix&&(r.denomPrefix=this.denomPrefix),this.leftDelim&&(r.leftDelim=this.leftDelim),this.rightDelim&&(r.rightDelim=this.rightDelim),this.hasBarLine||(r.hasBarLine=!1),this.mathstyleName&&(r.mathstyleName=this.mathstyleName),this.fractionNavigationOrder&&(r.fractionNavigationOrder=this.fractionNavigationOrder),g(g({},super.toJson()),r)}serialize(r){return R(this.command,this.aboveToLatex(r),this.belowToLatex(r))}get children(){if(this._children)return this._children;let r=[];if(this.fractionNavigationOrder==="denominator-numerator"){for(let i of this.below)r.push(...i.children),r.push(i);for(let i of this.above)r.push(...i.children),r.push(i)}else{for(let i of this.above)r.push(...i.children),r.push(i);for(let i of this.below)r.push(...i.children),r.push(i)}return this._children=r,r}render(r){var B,_;let i=new P({parent:r,mathstyle:this.mathstyleName},this.style),o=i.metrics,n=new P({parent:i,mathstyle:this.continuousFraction?"":"numerator"},this.style),a=this.numerPrefix?new x([new x(this.numerPrefix),f.createBox(n,this.above)],{isTight:n.isTight,type:"skip"}):(B=f.createBox(n,this.above,{type:"skip"}))!=null?B:new x(null,{type:"skip"}),s=new P({parent:i,mathstyle:this.continuousFraction?"":"denominator"},this.style),l=this.denomPrefix?new x([new x(this.denomPrefix),f.createBox(s,this.below,{type:"skip"})]):(_=f.createBox(s,this.below,{type:"skip"}))!=null?_:new x(null,{type:"skip"}),c=this.hasBarLine?o.defaultRuleThickness:0,u,d=0,m;i.isDisplayStyle?(u=o.num1,d=c>0?3*c:7*c,m=o.denom1):(c>0?(u=o.num2,d=c):(u=o.num3,d=3*c),m=o.denom2);let h=[];this.isSelected&&h.push("ML__selected");let y=a.depth,b=l.height,M;if(c<=0){let O=u-y-(b-m);O<d&&(u+=(d-O)/2,m+=(d-O)/2),M=new Y({individualShift:[{box:a,shift:-u,classes:[...h,"ML__center"]},{box:l,shift:m,classes:[...h,"ML__center"]}]}).wrap(i)}else{let O=Ke+c/2,V=Ke-c/2;u<d+y+O&&(u=d+y+O),m<d+b-V&&(m=d+b-V);let Ce=new x(null,{classes:"ML__frac-line",mode:this.mode,style:this.style});Ce.height=c/2,Ce.depth=c/2,M=new Y({individualShift:[{box:l,shift:m,classes:[...h,"ML__center"]},{box:Ce,shift:-V+c/2,classes:h},{box:a,shift:-u,classes:[...h,"ML__center"]}]}).wrap(i)}let k=i.isDisplayStyle?o.delim1:o.delim2,w=this.leftDelim?this.bind(r,ei("open",this.leftDelim,k,!0,r,{style:this.style,mode:this.mode,isSelected:this.isSelected})):Ft(i,"open"),L=null;this.continuousFraction?L=new x(null,{type:"close"}):this.rightDelim?L=this.bind(r,ei("close",this.rightDelim,k,!0,r,{style:this.style,mode:this.mode,isSelected:this.isSelected})):L=Ft(i,"close");let E=this.bind(r,new x([w,M,L],{isTight:i.isTight,type:"inner",classes:"mfrac"}));return E?(this.caret&&(E.caret=this.caret),this.attachSupsub(r,{base:E})):null}};var te=class extends f{constructor(r,i){var o;super({type:"latex",value:r,mode:"latex"});this.isSuggestion=(o=i==null?void 0:i.isSuggestion)!=null?o:!1,this.isError=!1}static fromJson(r){let i=new te(r.value);return r.isSuggestion&&(i.isSuggestion=!0),r.isError&&(i.isError=!0),i}toJson(){let r={};return this.isSuggestion&&(r.isSuggestion=!0),this.isError&&(r.isError=!0),g({type:"latex",value:this.value},r)}get computedStyle(){return{}}render(r){let i=new x(this.value,{classes:this.isSuggestion?"ML__suggestion":this.isError?"ML__error":"",type:"latex",maxFontSize:1});return i?(this.caret&&(i.caret=this.caret),this.bind(r,i)):null}},We=class extends f{constructor(e){super({type:"latexgroup",mode:"latex"}),this.body=[...e].map(r=>new te(r)),this.skipBoundary=!1}static fromJson(e){return new We("")}toJson(){return super.toJson()}render(e){let r=f.createBox(e,this.body);return r?(this.caret&&(r.caret=this.caret),this.bind(e,r)):null}serialize(e){var r,i;return(i=(r=this.body)==null?void 0:r.map(o=>o.value).join(""))!=null?i:""}};var Nt=class extends f{constructor(r,i,o){super({type:"line",command:r,style:o.style});this.skipBoundary=!0,this.body=i,this.position=o.position}static fromJson(r){return new Nt(r.command,r.body,r)}toJson(){return T(g({},super.toJson()),{position:this.position})}render(r){let i=new P({parent:r,mathstyle:"cramp"},this.style),o=f.createBox(i,this.body);if(!o)return null;let n=i.metrics.defaultRuleThickness/i.scalingFactor,a=new x(null,{classes:this.position+"-line"});a.height=n,a.maxFontSize=n*1.125*i.scalingFactor;let s;return this.position==="overline"?s=new Y({shift:0,children:[{box:o},3*n,{box:a},n]}):s=new Y({top:o.height,children:[n,{box:a},3*n,{box:o}]}),this.caret&&(s.caret=this.caret),new x(s,{classes:this.position,type:"skip"})}};var Se=class extends f{constructor(r,i,o){var n,a,s,l;super({type:(n=o.type)!=null?n:"mop",command:r,style:o.style,isFunction:o==null?void 0:o.isFunction});typeof 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null;i.right=i.italic,o=(i.height-i.depth)/2-Ke*r.scalingFactor,n=i.italic,i.setStyle("color",this.style.color),i.setStyle("background-color",this.style.backgroundColor)}else if(this.body){if(i=f.createBox(r,this.body,{type:"inner"}),!i)return null;i.setStyle("color",this.style.color),i.setStyle("background-color",this.style.backgroundColor)}else this.type,i=new x(this.value,{type:"op",mode:"math",caret:this.caret,maxFontSize:r.scalingFactor,style:{color:this.style.color,backgroundColor:this.style.backgroundColor,variant:this.variant,variantStyle:this.variantStyle},letterShapeStyle:r.letterShapeStyle});this.isExtensibleSymbol&&i.setTop(o);let a=i;if(this.superscript||this.subscript){let l=(s=this.subsupPlacement)!=null?s:"auto";a=l==="over-under"||l==="auto"&&r.isDisplayStyle?this.attachLimits(r,{base:i,baseShift:o,slant:n}):this.attachSupsub(r,{base:i})}return new x(this.bind(r,a),{type:"op",isSelected:this.isSelected,classes:"op-group"})}serialize(r){if(this.value==="\u200B")return this.supsubToLatex(r);let i=[];return this.hasArgument?i.push(R(this.command,this.bodyToLatex(r))):i.push(this.command),this.explicitSubsupPlacement&&(this.subsupPlacement==="over-under"&&i.push("\\limits"),this.subsupPlacement==="adjacent"&&i.push("\\nolimits"),this.subsupPlacement==="auto"&&i.push("\\displaylimits")),i.push(this.supsubToLatex(r)),j(i)}};var je=class extends f{constructor(r,i,o){super({type:"overlap",command:r,body:typeof i=="string"?[new f({value:i})]:i,style:o==null?void 0:o.style});this.skipBoundary=!0,this.align=o==null?void 0:o.align,this.boxType=o==null?void 0:o.boxType}static fromJson(r){return new je(r.command,r.body,r)}toJson(){let r={};return this.align&&(r.align=this.align),this.boxType&&(r.boxType=this.boxType),g(g({},super.toJson()),r)}render(r){let i=f.createBox(r,this.body,{classes:"inner"});return i?(this.caret&&(i.caret=this.caret),this.bind(r,new x([i,new 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s?(this.subsupPlacement==="over-under"?s=this.attachLimits(r,{base:s,type:s.type}):s=this.attachSupsub(r,{base:s}),this.caret&&(s.caret=this.caret),this.bind(r,s)):null}};function Sc(t,e){if(!e.base)return null;if(!e.above&&!e.below){let s=new x(e.base,{type:e.type});return s.setStyle("position","relative"),s}let r=0;e.above&&(r=t.metrics.bigOpSpacing5);let i=null,o=e.base,n=0,a=["ML__center"];if(e.paddedAboveBelow&&a.push("ML__label_padding"),e.below&&e.above){let s=t.metrics.bigOpSpacing5+e.below.height+e.below.depth+o.depth+n;i=new Y({bottom:s,children:[t.metrics.bigOpSpacing5,{box:e.below,classes:a},{box:o,classes:["ML__center"]},r,{box:e.above,classes:a},t.metrics.bigOpSpacing5]})}else e.below?i=new Y({top:o.height-n,children:[t.metrics.bigOpSpacing5,{box:e.below,classes:a},{box:o,classes:["ML__center"]}]}):e.above&&(i=new Y({bottom:o.depth+n,children:[{box:o,classes:["ML__center"]},r,{box:e.above,classes:a},t.metrics.bigOpSpacing5]}));return new x(i,{type:e.type})}var yt=class 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o;if(this.smashHeight&&(o.height=0),this.smashDepth&&(o.depth=0),o.children)for(let n of o.children)this.smashHeight&&(n.height=0),this.smashDepth&&(n.depth=0);return new Y({firstBaseline:[{box:o}]},{type:o.type}).wrap(r)}};var sr=class extends f{constructor(r,i){var o;super({type:"rule",command:r,style:i.style});this.shift=(o=i.shift)!=null?o:{dimension:0},this.height=i.height,this.width=i.width}static fromJson(r){return new sr(r.command,r)}toJson(){let r={height:this.height,width:this.width};return this.shift&&(r.shift=this.shift),g(g({},super.toJson()),r)}render(r){var l,c,u;let i=new P({parent:r,mathstyle:"textstyle"},this.style),o=(l=i.toEm(this.shift))!=null?l:1,n=(c=i.toEm(this.width))!=null?c:1,a=(u=i.toEm(this.height))!=null?u:1,s=new x(null,{classes:"rule",type:"ord"});return s.setStyle("border-right-width",n,"em"),s.setStyle("border-top-width",a,"em"),s.setStyle("border-color",this.style.color),s.setStyle("vertical-align",o,"em"),this.isSelected&&s.setStyle("opacity","50%"),s.width=n,s.height=a+o,s.depth=-o,this.bind(r,s),this.caret&&(s.caret=this.caret),s.wrap(i)}serialize(r){var o,n,a;let i=(o=this.command)!=null?o:"";return this.shift&&(i+=`[${be(this.shift)}]`),R(i,(n=be(this.width))!=null?n:"",(a=be(this.height))!=null?a:"")}};var ot=class extends f{constructor(r,i,o,n){var a;super({type:"spacing",command:r,style:i});this.width=o,this._braced=(a=n==null?void 0:n.braced)!=null?a:!1}static fromJson(r){return new ot(r.command,r.style,r.width,{braced:r.braced})}toJson(){let r={};return this.width!==void 0&&(r.width=this.width),this._braced&&(r.braced=!0),g(g({},super.toJson()),r)}render(r){var o,n;if(this.command==="space")return new x(this.mode==="math"?null:" ");let i;if(this.width!==void 0)i=new 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}
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  padding-bottom: var(--keyboard-padding-bottom);
  padding-left: var(--keyboard-padding-horizontal);
  padding-right: var(--keyboard-padding-horizontal);
  opacity: 0;
  visibility: hidden;
  transform: translate(0, 0);
  background: var(--keyboard-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: 0;
  left: var(--keyboard-padding-horizontal);
  width: calc(100% - 2 * var(--keyboard-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, var(--keyboard-accent-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 {
  --private-keycap-gap: var(--keycap-gap);
  --private-keycap-height: var(--keycap-height);
  --private-keycap-max-width: var(--keycap-max-width);
  display: flex;
  flex-flow: column;
  align-items: center;
  border-collapse: separate;
  clear: both;
  border: 0;
  margin: 0;
  margin-bottom: var(--private-keycap-gap);
  gap: var(--private-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(--keyboard-row-padding-left, 0);
  padding-right: var(--keyboard-row-padding-right, 0);
  overflow-x: auto;
  touch-action: none;
}
.MLK__rows > .row {
  display: flex;
  flex-flow: row;
  justify-content: center;
  width: 100%;
  gap: var(--private-keycap-gap);
  margin: 0;
  padding: 0;
  /* For the alignment of the text on some modifiers (e.g. shift) */
  /* Extra spacing between two adjacent keys */
  /** A regular keycap */
}
.MLK__rows > .row .tex {
  font-family: KaTeX_Math, KaTeX_Main, 'Cambria Math', 'Asana Math', OpenSymbol, Symbola, STIX, Times, serif !important;
}
.MLK__rows > .row .tex-math {
  font-family: KaTeX_Math, 'Cambria Math', 'Asana Math', OpenSymbol, Symbola, STIX, Times, serif !important;
}
.MLK__rows > .row .big-op {
  font-size: calc(1.25 * var(--keycap-font-size, 20px));
}
.MLK__rows > .row .small {
  font-size: var(--keycap-small-font-size, 16px);
}
.MLK__rows > .row .bottom {
  justify-content: flex-end;
}
.MLK__rows > .row .left {
  align-items: flex-start;
  padding-left: 12px;
}
.MLK__rows > .row .right {
  align-items: flex-end;
  padding-right: 12px;
}
.MLK__rows > .row .w0 {
  width: 0;
}
.MLK__rows > .row .w5 {
  width: calc(min(var(--private-keycap-max-width, 100px), 10cqw) / 2 - var(--private-keycap-gap));
}
.MLK__rows > .row .w15 {
  width: calc(1.5 * min(var(--private-keycap-max-width, 100px), 10cqw) var(--private-keycap-gap));
}
.MLK__rows > .row .w20 {
  width: calc(2 * min(var(--private-keycap-max-width, 100px), 10cqw) - var(--private-keycap-gap));
}
.MLK__rows > .row .w50 {
  width: calc(5 * min(var(--private-keycap-max-width, 100px), 10cqw) - var(--private-keycap-gap));
}
.MLK__rows > .row .MLK__keycap.w50 {
  font-size: 80%;
  padding-top: 10px;
  font-weight: 100;
}
.MLK__rows > .row .separator {
  background: transparent;
  border: none;
  pointer-events: none;
}
.MLK__rows > .row .horizontal-rule {
  height: 6px;
  margin-top: 3px;
  margin-bottom: 0;
  width: 100%;
  border-radius: 0;
  border-top: var(--keyboard-horizontal-rule);
}
.MLK__rows > .row .ghost {
  background: var(--keyboard-toolbar-background);
  border: none;
  color: var(--keyboard-toolbar-text);
}
.MLK__rows > .row .ghost:hover {
  background: var(--keyboard-toolbar-background-hover);
}
.MLK__rows > .row .bigfnbutton {
  font-size: var(--keycap-extra-small-font-size, 14px);
}
.MLK__rows > .row .shift,
.MLK__rows > .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, 16px));
  font-weight: 600;
  padding: 8px 12px 8px 12px;
}
.MLK__rows > .row .shift:hover,
.MLK__rows > .row .action:hover {
  background: var(--keycap-secondary-background-hover);
}
.MLK__rows > .row .action.primary {
  background: var(--keycap-primary-background);
  color: var(--keycap-primary-text);
}
.MLK__rows > .row .action.primary:hover {
  background: var(--keycap-primary-background-hover);
  color: var(--keycap-primary-text);
}
.MLK__rows > .row .shift.selected,
.MLK__rows > .row .action.selected {
  color: var(--keyboard-toolbar-text-active);
}
.MLK__rows > .row .shift.selected.is-pressed,
.MLK__rows > .row .action.selected.is-pressed,
.MLK__rows > .row .shift.selected.is-active,
.MLK__rows > .row .action.selected.is-active {
  color: white;
}
.MLK__rows > .row .warning {
  background: #cd0030;
  color: white;
}
.MLK__rows > .row .warning svg.svg-glyph {
  width: 24px;
  height: 24px;
  min-height: 24px;
}
.MLK__rows > .row div {
  display: flex;
  flex-flow: column;
  align-items: center;
  justify-content: space-evenly;
  width: calc(min(var(--private-keycap-max-width), 10cqw) - var(--private-keycap-gap));
  height: var(--private-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, 20px);
  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;
}
.MLK__rows > .row div:hover {
  background: var(--keycap-background-hover);
}
.MLK__rows > .row div .ML__mathlive {
  pointer-events: none;
  touch-action: none;
}
.MLK__rows > .row div svg.svg-glyph {
  margin: 8px 0;
  width: 20px;
  height: 20px;
  min-height: 20px;
}
.MLK__rows > .row div svg.svg-glyph-lg {
  margin: 8px 0;
  width: 24px;
  height: 24px;
  min-height: 24px;
}
.MLK__rows > .row div.MLK__tex-math {
  font-size: 25px;
}
.MLK__rows > .row div.is-pressed {
  background: var(--keycap-background-pressed);
  color: var(--keycap-text-pressed);
}
.MLK__rows > .row div.MLK__keycap.is-active,
.MLK__rows > .row div.action.is-active,
.MLK__rows > .row div.MLK__keycap.is-pressed,
.MLK__rows > .row div.action.is-pressed {
  z-index: calc(var(--keyboard-zindex, 105) - 5);
}
.MLK__rows > .row div.MLK__keycap.is-active aside,
.MLK__rows > .row div.action.is-active aside,
.MLK__rows > .row div.MLK__keycap.is-pressed aside,
.MLK__rows > .row div.action.is-pressed aside {
  display: none;
}
.MLK__rows > .row div.MLK__keycap.is-active .MLK__shift,
.MLK__rows > .row div.action.is-active .MLK__shift,
.MLK__rows > .row div.MLK__keycap.is-pressed .MLK__shift,
.MLK__rows > .row div.action.is-pressed .MLK__shift {
  display: none;
}
.MLK__rows > .row div.shift.is-pressed,
.MLK__rows > .row div.MLK__keycap.is-pressed,
.MLK__rows > .row div.action.is-pressed {
  background: var(--keycap-background-pressed);
  color: var(--keycap-text-pressed);
}
.MLK__rows > .row div.shift.is-active,
.MLK__rows > .row div.MLK__keycap.is-active,
.MLK__rows > .row div.action.is-active {
  background: var(--keycap-background-active);
  color: var(--keycap-text-active);
}
.MLK__rows > .row div small {
  color: var(--keycap-secondary-text);
}
.MLK__rows > .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) */
.MLK__tooltip {
  position: relative;
}
.MLK__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);
}
.MLK__tooltip:hover {
  position: relative;
}
.MLK__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(--keyboard-toolbar-text);
  fill: currentColor;
  background: var(--keyboard-toolbar-background);
  font-size: 135%;
  padding: 4px 15px;
  cursor: pointer;
  width: max-content;
  min-width: 42px;
  min-height: 22px;
  border: none;
  padding-left: 10px;
  padding-right: 10px;
  padding-bottom: 8px;
  padding-top: 8px;
  margin-top: 7px;
  margin-bottom: 8px;
  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(--keyboard-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(--keyboard-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(--keyboard-toolbar-text-active);
}
.MLK__toolbar > div > div.selected {
  color: var(--keyboard-toolbar-text-active);
  background: var(--keyboard-toolbar-background-selected);
  border-radius: 0;
  border-bottom-color: var(--keyboard-toolbar-text-active);
  padding-bottom: 4px;
  margin-bottom: 12px;
}
/* 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, 105) + 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: 50px;
  --variant-keycap-font-size: 24px;
  --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: 24px;
    --variant-keycap-length: 50px;
  }
}
.MLK__variant-panel .item .ML__mathlive {
  pointer-events: none;
}
.MLK__variant-panel .item.is-active {
  background: var(--variant-keycap-background-active);
  color: var(--variant-keycap-text-active);
}
.MLK__variant-panel .item.is-pressed {
  background: var(--variant-keycap-background-pressed);
  color: var(--variant-keycap-text-pressed);
}
.MLK__variant-panel .item.small {
  font-size: var(--keycap-small-font-size, 16px);
}
.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: 50px;
  height: 50px;
}
.MLK__variant-panel .item aside {
  font-size: var(--variant-keycap-aside-font-size);
  line-height: 12px;
  opacity: 0.78;
  padding-top: 2px;
}
.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: 24px;
    --variant-keycap-length: 50px;
  }
}
/* @xs breakpoint: iPhone 5 */
@container (max-width: 414px) {
  .MLK__rows {
    --private-keycap-gap: min(var(--keycap-gap), 2px);
    --private-keycap-height: min(var(--keycap-height), 42px);
    --private-keycap-max-width: min(var(--keycap-max-width), 62px);
  }
  .MLK__toolbar > div > div {
    font-size: 100%;
    padding: 0;
    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 {
    --private-keycap-gap: min(var(--keycap-gap), 2px);
    --private-keycap-height: min(var(--keycap-height), 52px);
    --private-keycap-max-width: min(var(--keycap-max-width), 62px);
  }
  .MLK__toolbar > div > div {
    padding-left: 0;
    padding-right: 0;
  }
  .MLK__tooltip::after {
    padding: 8px 16px;
    font-size: 16px;
  }
  .MLK__rows > .row > div.fnbutton {
    font-size: 16px;
  }
  .MLK__rows > .row > div.bigfnbutton {
    font-size: calc(var(--keycap-extra-small-font-size, 14px) / 1.55);
  }
  .MLK__rows > .row > div.small {
    font-size: 13px;
  }
  .MLK__rows > .row > div > aside {
    display: none;
  }
  .MLK__shift {
    display: none;
  }
}
/* Medium breakpoint: larger phones */
@container (max-width: 768px) {
  .MLK__rows {
    --private-keycap-height: min(var(--keycap-height), 42px);
  }
  .MLK__rows > .row > div > small {
    font-size: 14px;
  }
}
@container (max-width: 1444px) {
  .MLK__rows .if-wide {
    display: none;
  }
}
@media (prefers-color-scheme: dark) {
  .ML__keyboard {
    --keyboard-accent-color: #0b5c9c;
    --keyboard-background: #151515;
    --keyboard-border: transparent;
    --keyboard-toolbar-text: #e3e4e8;
    --keyboard-toolbar-text-active: var(--keyboard-accent-color);
    --keyboard-toolbar-background: transparent;
    --keyboard-toolbar-background-hover: #303030;
    --keyboard-toolbar-background-selected: transparent;
    --keyboard-horizontal-rule: 1px solid #303030;
    --keycap-background: #1f2022;
    --keycap-background-hover: #2f3032;
    --keycap-border: transparent;
    --keycap-border-bottom: transparent;
    --keycap-text: #e3e4e8;
    --keycap-secondary-background: #3d4144;
    --keycap-secondary-background-hover: #4d5154;
    --keycap-secondary-text: #e7ebee;
    --keycap-secondary-border: transparent;
    --keycap-secondary-border-bottom: transparent;
    --variant-panel-background: #303030;
    --variant-keycap-text: var(--keycap-text);
    --variant-keycap-text-active: #fff;
  }
}
/* Same as the media query, but with a class */
[theme='dark'] .ML__keyboard {
  --keyboard-accent-color: #0b5c9c;
  --keyboard-background: #151515;
  --keyboard-border: transparent;
  --keyboard-toolbar-text: #e3e4e8;
  --keyboard-toolbar-text-active: var(--keyboard-accent-color);
  --keyboard-toolbar-background: transparent;
  --keyboard-toolbar-background-hover: #303030;
  --keyboard-toolbar-background-selected: transparent;
  --keyboard-horizontal-rule: 1px solid #303030;
  --keycap-background: #1f2022;
  --keycap-background-hover: #2f3032;
  --keycap-border: transparent;
  --keycap-border-bottom: transparent;
  --keycap-text: #e3e4e8;
  --keycap-secondary-background: #3d4144;
  --keycap-secondary-background-hover: #4d5154;
  --keycap-secondary-text: #e7ebee;
  --keycap-secondary-border: transparent;
  --keycap-secondary-border-bottom: transparent;
  --variant-panel-background: #303030;
  --variant-keycap-text: var(--keycap-text);
  --variant-keycap-text-active: #fff;
}
[theme='light'] .ML__keyboard {
  --keyboard-accent-color: #0c75d8;
  --keyboard-background: #cacfd7;
  --keyboard-border: #ddd;
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}
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  --private-panel-height: var(--environment-panel-height, 70px);
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  width: calc(var(--private-panel-height) * 2);
  height: var(--private-panel-height);
  border-radius: 4px;
  border: 1.5px solid var(--keyboard-accent-color, #0c75d8);
  background-color: var(--variant-panel-background, #fff);
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  pointer-events: all;
  visibility: hidden;
}
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  width: calc(var(--private-panel-height) * 5/4);
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}
#mathlive-environment-popover .MLEP__array-buttons .font {
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}
#mathlive-environment-popover .MLEP__array-buttons circle {
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  transition: fill 300ms;
}
#mathlive-environment-popover .MLEP__array-buttons .MLEP__array-insert-background {
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  fill: var(--variant-panel-background, #fff);
  stroke: var(--keyboard-accent-color, #0c75d8);
  stroke-width: 3px;
}
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  stroke-opacity: 0;
  stroke-width: 40;
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  transition: stroke-opacity 300ms;
  stroke-linecap: round;
}
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}
#mathlive-environment-popover .MLEP__array-buttons g[data-command]:hover line {
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}
#mathlive-environment-popover .MLEP__environment-delimiter-controls {
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  width: 50%;
}
#mathlive-environment-popover .MLEP__environment-delimiter-controls .MLEP__array-delimiter-options {
  width: var(--private-panel-height);
  height: var(--private-panel-height);
  display: flex;
  flex-wrap: wrap;
  flex-direction: row;
  justify-content: space-around;
}
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  margin-top: 2px;
  width: calc(var(--private-panel-height) / 3 * 28 / 24);
  height: calc(var(--private-panel-height) / 3 - 2px);
  border-radius: calc(var(--private-panel-height) / 25);
  background-color: var(--keycap-background, white);
}
#mathlive-environment-popover .MLEP__environment-delimiter-controls .MLEP__array-delimiter-options svg:hover {
  background-color: var(--keycap-background-hover, #f5f5f7);
}
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#mathlive-environment-popover .MLEP__environment-delimiter-controls .MLEP__array-delimiter-options svg line {
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  stroke-linecap: round;
}
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}
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  background-color: var(--keycap-background-active, #f5f5f7);
}
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#mathlive-environment-popover .MLEP__environment-delimiter-controls .MLEP__array-delimiter-options svg.active line {
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}
#mathlive-environment-popover .MLEP__environment-delimiter-controls .MLEP__array-delimiter-options svg.active circle {
  fill: var(--keyboard-accent-color, #0c75d8);
}
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      rx="${pe/2}"/>
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<svg id="matrix" class="${t}" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 28 24" 
  data-command='["setEnvironment","matrix"]'>
  <rect class="cls-1" width="28" height="24"/>
  <circle cx="10" cy="8" r="1"/>
  <circle cx="14" cy="12" r="1"/>
  <circle cx="18" cy="16" r="1"/></svg>`,rd=t=>`
<svg id="pmatrix" class="${t}" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 28 24" 
data-command='["setEnvironment","pmatrix"]'>
  <rect class="cls-1" width="28" height="24"/>
  <path class="cls-2" d="m6,4c-3.96,4.6-3.96,11.4,0,16"/>
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  <circle cx="10" cy="8" r="1"/>
  <circle cx="14" cy="12" r="1"/>
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<svg id="Bmatrix" class="${t}" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 28 24" 
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  <circle cx="10" cy="8" r="1"/>
  <circle cx="14" cy="12" r="1"/>
  <circle cx="18" cy="16" r="1"/>
</svg>`,id=t=>`
<svg id="bmatrix" class="${t}" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 28 24" 
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  <rect class="cls-1" width="28" height="24"/>
  <path class="cls-2" d="m6,4h-3v16h3"/>
  <path class="cls-2" d="m22,4h3v16h-3"/>
  <circle cx="10" cy="8" r="1"/>
  <circle cx="14" cy="12" r="1"/>
  <circle cx="18" cy="16" r="1"/>
</svg>`,od=t=>`
<svg id="vmatrix" class="${t}" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 28 24" 
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  <rect class="cls-1" width="28" height="24"/>
  <circle cx="10" cy="8" r="1"/>
  <circle cx="14" cy="12" r="1"/>
  <circle cx="18" cy="16" r="1"/>
  <line class="cls-2" x1="4" y1="4" x2="4" y2="20"/>
  <line class="cls-2" x1="24" y1="4" x2="24" y2="20"/>
</svg>`,nd=t=>`
<svg id="Vmatrix" class="${t}" xmlns="http://www.w3.org/2000/svg" viewBox="-3.5 -3 35 30" 
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  <circle cx="14" cy="12" r="1"/>
  <circle cx="18" cy="16" r="1"/>
  <line class="cls-2" x1="6" y1="4" x2="6" y2="20"/>
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  <line class="cls-2" x1="2" y1="4" x2="2" y2="20"/>
  <line class="cls-2" x1="26" y1="4" x2="26" y2="20"/>
</svg>`,ad=t=>`
<svg id="cases" class="${t}" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 28 24" 
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</svg>`,sd=t=>`
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UIEvent("focusout",{bubbles:!0,composed:!0})),re(this),this.focusBlurInProgress=!1,Zo();let e=new AbortController,r=e.signal;document.addEventListener("visibilitychange",()=>{document.visibilityState==="hidden"&&document.addEventListener("visibilitychange",()=>{Rt(this)&&document.visibilityState==="visible"&&this.focus({preventScroll:!0})},{once:!0})},{once:!0,signal:r}),setTimeout(()=>e.abort(),100)}onInput(e){ro(this,e)}onKeystroke(e,r){return na(this,e,r)}onCompositionStart(e){this.model.deleteAtoms(xe(this.model.selection));let r=Zr(this.field);r&&requestAnimationFrame(()=>{bt(this),this.keyboardDelegate.moveTo(r.x,r.y-r.height)})}onCompositionUpdate(e){js(this.model,e),re(this)}onCompositionEnd(e){Gs(this.model),ro(this,e,{simulateKeystroke:!0})}onCut(e){if(!this.isSelectionEditable){this.model.announce("plonk");return}H(this.model,{inputType:"deleteByCut"})&&(this.stopCoalescingUndo(),Q.onCopy(this,e),st(this.model,xe(this.model.selection),"deleteByCut"),this.snapshot("cut"),re(this))}onCopy(e){Q.onCopy(this,e)}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(){si(this),oo(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){var i;let r=e;for(;!r.id&&r.hasChildren;)r=e.children[0];if(r.id)return(i=this.fieldContent)==null?void 0:i.querySelector(`[data-atom-id="${r.id}"]`);throw new TypeError("Could not get an ID from atom")}get context(){var e,r;return{registers:(e=this.options.registers)!=null?e:{},smartFence:this.smartFence,letterShapeStyle:this.letterShapeStyle,minFontScale:this.minFontScale,placeholderSymbol:(r=this.options.placeholderSymbol)!=null?r:"\u25A2",colorMap:i=>this.colorMap(i),backgroundColorMap:i=>this.backgroundColorMap(i),getMacro:i=>yo(i,this.options.macros),atomIdsSettings:{seed:"random",groupNumbers:!1}}}};function tn(t,e,r){if(t.at(e).mode!=="text")return e;let i=r==="backward"?-1:1,o;if(Qt.test(t.at(e).value)){let n=e,a;do a=t.at(n).mode==="text"&&Qt.test(t.at(n).value),n+=i;while(t.at(n)&&a);o=t.at(n)?n-2*i:n-i}else if(/\s/.test(t.at(e).value)){let n=e;for(;t.at(n)&&t.at(n).mode==="text"&&/\s/.test(t.at(n).value);)n+=i;if(!t.at(n))o=n-i;else{let a=!0;do a=t.at(n).mode==="text"&&!/\s/.test(t.at(n).value),n+=i;while(t.at(n)&&a);o=t.at(n)?n-2*i:n-i}}else{let n=e;for(;t.at(n)&&t.at(n).mode==="text"&&!/\s/.test(t.at(n).value);)n+=i;o=t.at(n)?n:n-i;let a=!0;for(;t.at(n)&&a;)a=t.at(n).mode==="text"&&/\s/.test(t.at(n).value),a&&(o=n),n+=i;o=t.at(n)?n-2*i:n-i}return o-(i>0?0:1)}function mr(t,e,r){var a,s,l,c,u,d,m;let i=t.position;(a=r==null?void 0:r.extend)!=null&&a||t.collapseSelection(e);let o=t.at(t.position);if(e==="forward"&&(o.type==="subsup"?(o=o.rightSibling,o||(o=t.at(t.position+1))):o=t.at(t.position+1)),!o)return t.announce("plonk"),!1;let n=t.offsetOf(o);if(o instanceof $e)n=tn(t,n,e);else if(o instanceof te)if(o.isSuggestion)for(;o&&o instanceof te;)o.isSuggestion=!1,n=t.offsetOf(o),o=o.rightSibling;else if(e==="forward"){if(o=o.rightSibling,!o||!(o instanceof te))return t.announce("plonk"),!1;for(;o&&o instanceof te&&/[a-zA-Z\*]/.test(o.value);)n=t.offsetOf(o),o=o.rightSibling}else{if(o=o.leftSibling,!o||!(o instanceof te))return t.announce("plonk"),!1;for(;o&&o instanceof te&&/[a-zA-Z\*]/.test(o.value);)n=t.offsetOf(o),o=o.leftSibling}else if(e==="forward"&&o.type==="mopen"){let h=0;do o.type==="mopen"?h+=1:o.type==="mclose"&&(h-=1),o=o.rightSibling;while(!o.isLastSibling&&h!==0);n=t.offsetOf(o.leftSibling)}else if(e==="backward"&&o.type==="mclose"){let h=0;do o.type==="mopen"?h+=1:o.type==="mclose"&&(h-=1),o=o.leftSibling;while(!o.isFirstSibling&&h!==0);n=t.offsetOf(o)}else if(e==="backward")if(o.type==="first")for(;n>0&&o.type==="first";)n-=1,o=t.at(n);else{let h=o.type;o.type==="subsup"&&(n=t.offsetOf(t.at(n).leftSibling)),n-=1;let y=(s=t.at(n))==null?void 0:s.type;for(;n>=0&&y===h;)((l=t.at(n))==null?void 0:l.type)==="subsup"?n=t.offsetOf(t.at(n).leftSibling):n-=1,y=t.at(n).type}else{let{type:h}=o,y=(c=t.at(n))==null?void 0:c.type,{lastOffset:b}=t;for(;n<=b&&(y===h||y==="subsup");){for(;((u=t.at(n).rightSibling)==null?void 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t.silenceNotifications||(s=(a=(n=t.mathfield.host)==null?void 0:n.dispatchEvent(new CustomEvent("move-out",{detail:{direction:e},cancelable:!0,bubbles:!0,composed:!0})))!=null?a:!0),s&&t.announce("plonk"),s}return t.setPositionHandlingPlaceholder(i),t.mathfield.stopCoalescingUndo(),t.announce("move",o),!0}function Qo(t,e,r){return e=e+(r==="forward"?1:-1),e<0||e>t.lastOffset||yl(t,e)?e:Qo(t,e,r)}function yl(t,e){var o;let r=t.at(e),i=r.parent;for(;i&&!i.inCaptureSelection;)i=i.parent;return!(i!=null&&i.inCaptureSelection||(o=r.parent)!=null&&o.skipBoundary&&(!r.isFirstSibling&&r.isLastSibling||r.type==="first")||t.mathfield.hasEditablePrompts&&!r.parentPrompt)}function md(t,e,r){let i=1/0,o=0;for(;o<e.length;o++){let n=Ln(t.getHTMLElement(e[o])).right,a=Math.abs(r-n);if(a<=i)i=a;else break}return e[o-1]}function en(t,e,r,i,o){let n=t.mathfield.hasEditablePrompts,a=n?r.filter(c=>c.type==="prompt"&&!c.captureSelection):r,s=Ln(t.mathfield.getHTMLElement(e)).right,l=t.offsetOf(md(t.mathfield,a,s))-(n?1:0);if(i){let[c,u]=t.selection.ranges[0],d;l<(o==="up"?c:u)?d={ranges:[[l,u]],direction:"backward"}:d={ranges:[[c,l]],direction:"forward"},t.setSelection(d)}else t.setPositionHandlingPlaceholder(l);t.announce(`move ${o}`)}function pd(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 CustomEvent("move-out",{detail:{direction:"upward"},cancelable:!0,bubbles:!0,composed:!0})))!=null?u:!0),t.announce(l?"plonk":"line"),l},o=t.at(t.position),n=o;for(;n&&n.parentBranch!=="below"&&!(Array.isArray(n.parentBranch)&&n.parent instanceof I);)n=n.parent;if(Array.isArray(n==null?void 0:n.parentBranch)&&n.parent instanceof I){let l=n.parent;if(n.parentBranch[0]<1)return i();let c=n.parentBranch[0]-1,u=l.array[c][n.parentBranch[1]];if(!u.some(m=>m.type==="prompt"&&!m.captureSelection)&&t.mathfield.hasEditablePrompts)return i();en(t,o,u,r,"up")}else if(n){let l=(s=n.parent.branch("above"))!=null?s:n.parent.createBranch("above");if(!l.some(u=>u.type==="prompt"&&u.placeholderId)&&t.mathfield.hasEditablePrompts)return i();en(t,o,l,r,"up")}else return i();return t.mathfield.stopCoalescingUndo(),!0}function hd(t,e){var a,s;let r=(a=e==null?void 0:e.extend)!=null?a:!1;r||t.collapseSelection("forward");let i=()=>{var c,u;let l=!0;return t.silenceNotifications||(l=(u=(c=t.mathfield.host)==null?void 0:c.dispatchEvent(new CustomEvent("move-out",{detail:{direction:"downward"},cancelable:!0,bubbles:!0,composed:!0})))!=null?u:!0),t.announce(l?"plonk":"line"),l},o=t.at(t.position),n=o;for(;n&&n.parentBranch!=="above"&&!(Array.isArray(n.parentBranch)&&n.parent instanceof I);)n=n.parent;if(Array.isArray(n==null?void 0:n.parentBranch)&&n.parent instanceof I){let l=n.parent;if(n.parentBranch[0]+1>l.array.length-1)return i();let c=n.parentBranch[0]+1,u=l.array[c][n.parentBranch[1]];if(!u.some(m=>m.type==="prompt"&&!m.captureSelection)&&t.mathfield.hasEditablePrompts)return i();en(t,o,u,r,"down")}else if(n){let l=(s=n.parent.branch("below"))!=null?s:n.parent.createBranch("below");if(!l.some(u=>u.type==="prompt")&&t.mathfield.hasEditablePrompts)return i();en(t,o,l,r,"down")}else return i();return!0}me({deleteAll:t=>H(t,{inputType:"deleteContent"})&&st(t,[0,-1],"deleteContent"),deleteForward:t=>Us(t),deleteBackward:t=>Ws(t),deleteNextWord:t=>H(t,{inputType:"deleteWordForward"})&&st(t,[t.anchor,tn(t,t.position,"forward")],"deleteWordForward"),deletePreviousWord:t=>H(t,{inputType:"deleteWordBackward"})&&st(t,[t.anchor,tn(t,t.position,"backward")],"deleteWordBackward"),deleteToGroupStart:t=>H(t,{inputType:"deleteSoftLineBackward"})&&st(t,[t.anchor,t.offsetOf(t.at(t.position).firstSibling)],"deleteSoftLineBackward"),deleteToGroupEnd:t=>H(t,{inputType:"deleteSoftLineForward"})&&st(t,[t.anchor,t.offsetOf(t.at(t.position).lastSibling)],"deleteSoftLineForward"),deleteToMathFieldStart:t=>H(t,{inputType:"deleteHardLineBackward"})&&st(t,[t.anchor,0],"deleteHardLineBackward"),deleteToMathFieldEnd:t=>H(t,{inputType:"deleteHardLineForward"})&&st(t,[t.anchor,-1],"deleteHardLineForward")},{target:"model",audioFeedback:"delete",canUndo:!0,changeContent:!0,changeSelection:!0});function bl(t){if(t&&(t.classList.remove("ML__highlight"),t.children))for(let e of t.children)bl(e)}function pa(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&&pa(i)})):(t.classList.remove("ML__highlight"),t.children&&t.children.length>0&&[...t.children].forEach(i=>{i instanceof HTMLElement&&pa(i,e)})))}function xl(t,e){var o;if(!fe())return;if(window.MathfieldElement.speechEngine!=="amazon"){console.error("MathLive 0.93.0: Use Amazon TTS Engine for synchronized highlighting"),typeof window.MathfieldElement.speakHook=="function"&&window.MathfieldElement.speakHook(e);return}if(!window.AWS){console.error("MathLive 0.93.0: AWS SDK not loaded. See https://www.npmjs.com/package/aws-sdk");return}let r=new window.AWS.Polly({apiVersion:"2016-06-10"}),i={OutputFormat:"json",VoiceId:(o=window.MathfieldElement.speechEngineVoice)!=null?o:"Joanna",Engine:"standard",Text:e,TextType:"ssml",SpeechMarkTypes:["ssml"]};vt().readAloudElement=t,r.synthesizeSpeech(i,(n,a)=>{if(n){console.trace(`MathLive 0.93.0: \`polly.synthesizeSpeech()\` error: ${n}`);return}if(!(a!=null&&a.AudioStream))return;let s=new TextDecoder("utf-8").decode(new Uint8Array(a.AudioStream));vt().readAloudMarks=s.split(`
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  0%,
  100% {
    opacity: 1;
  }
  50% {
    opacity: 0;
  }
}
.ML__caret:after {
  content: '';
  border: none;
  border-radius: 2px;
  border-right: 2px solid var(--caret-color, var(--ML__caret-color));
  margin-right: -2px;
  position: relative;
  left: -1px;
  animation: ML__caret-blink 1.05s step-end forwards infinite;
}
.ML__text-caret:after {
  content: '';
  border: none;
  border-radius: 1px;
  border-right: 1px solid var(--caret-color, var(--ML__caret-color));
  margin-right: -1px;
  position: relative;
  left: 0;
  animation: ML__caret-blink 1.05s step-end forwards infinite;
}
.ML__latex-caret:after {
  content: '_';
  border: none;
  margin-right: 0;
  margin-right: calc(-1ex - 2px);
  position: relative;
  color: var(--caret-color, var(--ML__caret-color));
  animation: ML__caret-blink 1.05s step-end forwards infinite;
}
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  flex-flow: row;
  justify-content: space-between;
  align-items: flex-end;
  min-height: 39px;
  /* Need some room for the virtual keyboard toggle */
  width: 100%;
  /* Encourage browsers to consider allocating a hardware accelerated
   layer for this element. */
  isolation: isolate;
  /* 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;
  --ML__selection-background-color: hsl(var(--hue, 212), 97%, 85%);
  --ML__text-highlight-background-color: hsla(var(--hue, 212), 40%, 50%, 0.1);
  --ML__contains-highlight-background-color: hsl(var(--hue, 212), 40%, 95%);
  --ML__selection-color: currentColor;
  --ML__caret-color: hsl(var(--hue, 212), 40%, 49%);
  --ML__smart-fence-color: currentColor;
  --ML__latex-color: var(--primary, hsl(var(--hue, 212), 40%, 50%));
  --ML__correct-color: #10a000;
  --ML__incorrect-color: #a01b00;
  --ML__placeholder-color: hsl(var(--hue, 212), 40%, 49%);
}
/* This is the actual field content (formula) */
.ML__content {
  display: flex;
  align-items: center;
  align-self: center;
  position: relative;
  overflow: hidden;
  padding: 2px 0 2px 1px;
  width: 100%;
}
.ML__virtual-keyboard-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: var(--primary, hsl(var(--hue, 212), 40%, 50%));
  fill: currentColor;
  background: transparent;
}
.ML__virtual-keyboard-toggle:hover {
  background: hsla(0, 0%, 70%, 0.3);
  color: #333;
  fill: currentColor;
}
.ML__virtual-keyboard-toggle > span {
  display: flex;
  align-self: center;
  align-items: center;
}
/* 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;
  /* 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;
}
.ML__focused .ML__text {
  background: var(--highlight-text, var(--ML__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, 0.5);
  color: var(--smart-fence-color, var(--ML__smart-fence-color));
}
.ML__focused .ML__selection {
  background: var(--selection-background-color-focused, var(--selection-background-color, var(--ML__selection-background-color))) !important;
}
.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-focused, var(--selection-color, var(--ML__selection-color))) !important;
}
.ML__selection {
  box-sizing: border-box;
  background: var(--selection-background-color, var(--ML__selection-background-color)) !important;
}
.ML__selected,
.ML__selected .ML__contains-caret,
.ML__selected .ML__smart-fence__close,
.ML__selected .ML__placeholder {
  color: var(--selection-color, var(--ML__selection-color));
  opacity: 1;
}
.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(--caret-color, var(--ML__caret-color));
}
.ML__contains-highlight {
  background: var(--contains-highlight-backround-color, var(--ML__contains-highlight));
  box-sizing: border-box;
}
.ML__latex {
  font-family: 'IBM Plex Mono', 'Source Code Pro', Consolas, 'Roboto Mono', Menlo, 'Bitstream Vera Sans Mono', 'DejaVu Sans Mono', Monaco, Courier, monospace;
  font-weight: 400;
  color: var(--latex-color, var(--ML__latex-color));
}
.ML__suggestion {
  opacity: 0.5;
}
.ML__virtual-keyboard-toggle.is-visible.is-pressed:hover {
  background: hsl(var(--hue, 212), 25%, 35%);
  color: #fafafa;
  fill: currentColor;
}
.ML__virtual-keyboard-toggle:focus {
  outline: none;
  border-radius: 8px;
  border: 2px solid var(--primary, hsl(var(--hue, 212), 40%, 50%));
}
.ML__virtual-keyboard-toggle.is-pressed,
.ML__virtual-keyboard-toggle.is-active:hover,
.ML__virtual-keyboard-toggle.is-active {
  background: hsl(var(--hue, 212), 25%, 35%);
  color: #fafafa;
  fill: currentColor;
}
/* 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-radius: 8px;
  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);
  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);
}
/* Add an attribute 'data-ML__tooltip' to automatically show a
   tooltip over a element on hover.
   Use 'data-position="top"' to place the tooltip above the
   element rather than below.
   Use 'data-delay' to delay the triggering of the tooltip.
*/
[data-ML__tooltip] {
  position: relative;
}
[data-ML__tooltip][data-placement='top']::after {
  top: inherit;
  bottom: 100%;
}
[data-ML__tooltip]::after {
  content: attr(data-ML__tooltip);
  position: absolute;
  display: none;
  z-index: 2;
  right: 110%;
  left: calc(100% + 8px);
  width: max-content;
  max-width: 200px;
  padding: 8px 8px;
  border-radius: 2px;
  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: 12px;
  /* Phone */
  opacity: 0;
  transform: scale(0.5);
  transition: all 0.15s cubic-bezier(0.4, 0, 1, 1);
}
@media only screen and (max-width: 767px) {
  [data-ML__tooltip]::after {
    padding: 8px 16px;
    font-size: 16px;
  }
}
:not(.tracking) [data-ML__tooltip]:hover {
  position: relative;
}
:not(.tracking) [data-ML__tooltip]:hover::after {
  visibility: visible;
  display: inline-table;
  opacity: 1;
  transform: scale(1);
}
[data-ML__tooltip][data-delay]::after {
  transition-delay: 0s;
}
[data-ML__tooltip][data-delay]:hover::after {
  transition-delay: 1s;
  /* attr(data-delay); Should work. But doesn't. */
}
`;fe()||console.error('MathLive 0.93.0: 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 ha=fe()?document.createElement("template"):null;ha&&(ha.innerHTML=`<style>
  :host { display: inline-block; background-color: field; color: fieldtext; border-width: 1px; border-style: solid; border-color: #acacac; border-radius: 2px; padding:4px; pointer-events: none;}
  :host([hidden]) { display: none; }
  :host([disabled]), :host([disabled]:focus), :host([disabled]:focus-within) { outline: none; opacity:  .5; }
  :host(:focus), :host(:focus-within) {
    outline: Highlight auto 1px;    /* For Firefox */
    outline: -webkit-focus-ring-color auto 1px;
  }
  :host([readonly]:focus), :host([readonly]:focus-within),
  :host([read-only]:focus), :host([read-only]:focus-within) {
    outline: none;
  }
  ${nt}${vl}
  </style>
  <span style="pointer-events:auto"></span><slot style="display:none"></slot>`);var G=new WeakMap,gd=.5,pr={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:"`MathfieldElement.onExport`",onInlineShortcut:"`MathfieldElement.onInlineShortcut`",onScrollIntoView:"`MathfieldElement.onScrollIntoView`",locale:"MathfieldElement.locale = ...",strings:"MathfieldElement.strings = ...",decimalSeparator:"MathfieldElement.decimalSeparator = ...",fractionNavigationOrder:"MathfieldElement.fractionNavigationOrder = ..."},hr=class extends HTMLElement{constructor(r){super();if(r){let o=[];for(let n of Object.keys(r))if(pr[n])if(pr[n].startsWith("mf."))if(pr[n].startsWith(`mf.${n}`))o.push(`Option \`${n}\` cannot be used as a constructor option. Use ${pr[n]}`);else{let a=pr[n].match(/([a-zA-Z]+) =/);o.push(`Option \`${n}\` has been renamed \`${a[1]}\``)}else o.push(`Option \`${n}\` cannot be used as a constructor option. Use ${pr[n]}`);else o.push(`Unexpected option \`${n}\``);if(o.length>0){console.group("%cMathLive 0.93.0: %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 https://cortexjs.io/mathlive/changelog/ for details.");for(let n of o)console.warn(n);console.groupEnd()}}fi()&&(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.append(ha.content.cloneNode(!0));let i=this.shadowRoot.querySelector("slot:not([name])");this._slotValue=i.assignedNodes().map(o=>o.nodeType===3?o.textContent:"").join("").trim(),r&&this._setOptions(r)}static get formAssociated(){return fi()}static get optionsAttributes(){return{"default-mode":"string","letter-shape-style":"string","min-font-scale":"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","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,Ps())}static get soundsDirectory(){return this._soundsDirectory}static set soundsDirectory(r){this._soundsDirectory=r,this.audioBuffers={}}static get keypressSound(){return this._keypressSound}static set keypressSound(r){var i,o,n;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:(o=r.return)!=null?o:r.default,delete:(n=r.delete)!=null?n: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 Z.locale}static set locale(r){r==="auto"&&(r=navigator.language.slice(0,5)),Z.locale=r}static get decimalSeparator(){return this._decimalSeparator}static set decimalSeparator(r){this._decimalSeparator=r,this._computeEngine&&(this._computeEngine.latexOptions.decimalMarker=this.decimalSeparator===","?"{,}":".")}static get strings(){return Z.strings}static set strings(r){Z.merge(r)}static get computeEngine(){var r,i;if(this._computeEngine===void 0){let o=(r=window[Symbol.for("io.cortexjs.compute-engine")])==null?void 0:r.ComputeEngine;o?this._computeEngine=new o:console.error(`MathLive 0.93.0: The CortexJS Compute Engine library is not available.
          
          Load the library, for example with:
          
          import "https://unpkg.com/@cortex-js/compute-engine?module"`),this._computeEngine&&this.decimalSeparator===","&&(this._computeEngine.latexOptions.decimalMarker="{,}")}return(i=this._computeEngine)!=null?i:null}static set computeEngine(r){this._computeEngine=r}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 o=this.soundsDirectory;if(o==null||o==="null"||i==="none"||i==="null")return;let a=await(await fetch(await Ko(`${o}/${i}`))).arrayBuffer(),s=await this.audioContext.decodeAudioData(a);this.audioBuffers[r]=s}static async playSound(r){if(this.audioBuffers[r]||await this.loadSound(r),!this.audioBuffers[r])return;let i=this.audioContext.createBufferSource();i.buffer=this.audioBuffers[r];let o=this.audioContext.createGain();o.gain.value=gd,i.connect(o).connect(this.audioContext.destination),i.start()}onPointerDown(){window.addEventListener("pointerup",r=>{var i;r.target===this&&!((i=this._mathfield)!=null&&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}))},{once:!0})}getPromptValue(r){var i,o;return(o=(i=this._mathfield)==null?void 0:i.getPromptValue(r))!=null?o:""}getPrompts(r){var i,o;return(o=(i=this._mathfield)==null?void 0:i.getPrompts(r))!=null?o:[]}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:"math"}set mode(r){this._mathfield&&(this._mathfield.model.mode=r)}get expression(){if(this._mathfield)return window[Symbol.for("io.cortexjs.compute-engine")]||console.error(`MathLive 0.93.0: The CortexJS Compute Engine library is not available.
        
        Load the library, for example with:
        
        import "https://unpkg.com/@cortex-js/compute-engine?module"`),this._mathfield.expression}set expression(r){var o,n;if(!this._mathfield)return;let i=(n=(o=hr.computeEngine)==null?void 0:o.box(r).latex)!=null?n:null;i!==null&&this._mathfield.setValue(i),window[Symbol.for("io.cortexjs.compute-engine")]||console.error(`MathLive 0.93.0: The CortexJS Compute Engine library is not available.
        
        Load the library, for example with:
        
        import "https://unpkg.com/@cortex-js/compute-engine?module"`)}get errors(){var r,i;return(i=(r=this._mathfield)==null?void 0:r.errors)!=null?i:[]}_getOptions(r){return this._mathfield?Vt(this._mathfield.options,r):G.has(this)?g({},Vt(g(g({},mi()),di(G.get(this).options)),r)):null}getOptions(r){return console.warn("%cMathLive 0.93.0: %cDeprecated Usage%c\n      `mf.getOptions()` is deprecated. Read the property directly on the mathfield instead.\n      See https://cortexjs.io/mathlive/changelog/ for details.","color:#12b; font-size: 1.1rem","color:#db1111; font-size: 1.1rem","color: inherit, font-size: 1rem"),this._mathfield?Vt(this._mathfield.options,r):G.has(this)?Vt(g(g({},mi()),di(G.get(this).options)),r):null}reflectAttributes(){let r=mi(),i=this._getOptions();Object.keys(hr.optionsAttributes).forEach(o=>{let n=qt(o);hr.optionsAttributes[o]==="on/off"?r[n]!==i[n]?this.setAttribute(o,i[n]?"on":"off"):this.removeAttribute(o):r[n]!==i[n]&&(hr.optionsAttributes[o]==="boolean"?i[n]?this.setAttribute(o,""):this.removeAttribute(o):(typeof i[n]=="string"||typeof i[n]=="number")&&this.setAttribute(o,i[n].toString()))})}getOption(r){return console.warn("%cMathLive 0.93.0: %cDeprecated Usage%c\n      `mf.getOption()` is deprecated. Read the property directly on the mathfield instead.\n      See https://cortexjs.io/mathlive/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(G.has(this)){let i=g(g({},G.get(this).options),r);G.set(this,T(g({},G.get(this)),{selection:{ranges:i.readOnly?[[0,0]]:[[0,-1]]},options:i}))}else G.set(this,{value:void 0,selection:{ranges:[[0,0]]},options:r});this.reflectAttributes()}setOptions(r){console.group("%cMathLive 0.93.0: %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 https://cortexjs.io/mathlive/changelog/ for details.");for(let i of Object.keys(r))pr[i]&&console.warn(`\`mf.setOptions({${i}:...})\` -> ${pr[i]}`);console.groupEnd(),this._setOptions(r)}executeCommand(r){var i,o;return(o=(i=this._mathfield)==null?void 0:i.executeCommand(r))!=null?o:!1}getValue(r,i,o){var n,a;if(this._mathfield)return this._mathfield.model.getValue(r,i,o);if(G.has(this)){let s,l,c;if(pi(r)?([s,l]=r.ranges[0],c=i):Tr(r)?([s,l]=r,c=i):Dt(r)&&Dt(i)?(s=r,l=i,c=o):(s=0,l=-1,c=r),(c===void 0||c==="latex")&&s===0&&l===-1)return(a=(n=G.get(this).value)!=null?n:this.textContent)!=null?a:""}return""}setValue(r,i){if(this._mathfield&&r!==void 0){i!=null||(i={silenceNotifications:!0,mode:"math"}),this._mathfield.setValue(r,i);return}if(G.has(this)){let n=G.get(this).options;G.set(this,{value:r,selection:{ranges:n.readOnly?[[0,0]]:[[0,-1]],direction:"forward"},options:n});return}let o=rn(this);G.set(this,{value:r,selection:{ranges:o.readOnly?[[0,0]]:[[0,-1]],direction:"forward"},options:o})}hasFocus(){var r,i;return(i=(r=this._mathfield)==null?void 0:r.hasFocus())!=null?i:!1}focus(){var r;(r=this._mathfield)==null||r.focus()}blur(){var r;(r=this._mathfield)==null||r.blur()}select(){var r;(r=this._mathfield)==null||r.select()}insert(r,i){var o,n;return(n=(o=this._mathfield)==null?void 0:o.insert(r,i))!=null?n:!1}applyStyle(r,i){var o;return(o=this._mathfield)==null?void 0:o.applyStyle(r,i)}get caretPoint(){var r,i;return(i=(r=this._mathfield)==null?void 0:r.getCaretPoint())!=null?i:null}set caretPoint(r){var i;r&&((i=this._mathfield)==null||i.setCaretPoint(r.x,r.y))}setCaretPoint(r,i){var o,n;return(n=(o=this._mathfield)==null?void 0:o.setCaretPoint(r,i))!=null?n:!1}offsetFromPoint(r,i,o){return this._mathfield?Fr(this._mathfield,r,i,o):-1}hitboxFromOffset(r){if(!this._mathfield)return null;let i=this._mathfield.model.at(r);if(!i)return null;let o=er(this._mathfield,i);return o?new DOMRect(o.left,o.top,o.right-o.left,o.bottom-o.top):null}resetUndo(){var r;(r=this._mathfield)==null||r.resetUndo()}canUndo(){return this._mathfield?this._mathfield.canUndo():!1}canRedo(){return this._mathfield?this._mathfield.canRedo():!1}handleEvent(r){var i,o;r.type==="pointerdown"&&this.onPointerDown(),r.type==="focus"&&((i=this._mathfield)==null||i.focus()),r.type==="blur"&&((o=this._mathfield)==null||o.blur())}connectedCallback(){var o,n,a;this.shadowRoot.host.addEventListener("pointerdown",this,!0),this.shadowRoot.host.addEventListener("focus",this,!0),this.shadowRoot.host.addEventListener("blur",this,!0),fi()||(this.hasAttribute("role")||this.setAttribute("role","math"),this.hasAttribute("aria-label")||this.setAttribute("aria-label","math input field"),this.setAttribute("aria-multiline","false")),this.hasAttribute("contenteditable")||this.setAttribute("contenteditable","true"),this.hasAttribute("tabindex")||this.setAttribute("tabindex","0");let r=this.shadowRoot.querySelector("slot:not([name])"),i="";if(this.hasAttribute("value")?i=(o=this.getAttribute("value"))!=null?o:"":i=(n=r==null?void 0:r.assignedNodes().map(s=>s.nodeType===3?s.textContent:"").join("").trim())!=null?n:"",this._mathfield=new Yo(this.shadowRoot.querySelector(":host > span"),T(g({},G.has(this)?G.get(this).options:rn(this)),{eventSink:this,value:i})),!G.has(this)){this.upgradeProperty("disabled"),this.upgradeProperty("readonly");for(let s of Object.keys(hr.optionsAttributes))this.upgradeProperty(qt(s))}if(!((a=this._mathfield)!=null&&a.model)){this._mathfield=null;return}G.has(this)&&this._mathfield.model.deferNotifications({content:!1,selection:!1},()=>{let s=G.get(this).value;s!==void 0&&this._mathfield.setValue(s),this._mathfield.model.selection=G.get(this).selection,G.delete(this)}),window.queueMicrotask(()=>{this.isConnected&&this.dispatchEvent(new Event("mount",{cancelable:!1,bubbles:!0,composed:!0}))}),_r()}disconnectedCallback(){if(this.shadowRoot.host.removeEventListener("pointerdown",this,!0),!this._mathfield)return;window.queueMicrotask(()=>this.dispatchEvent(new Event("unmount",{cancelable:!1,bubbles:!0,composed:!0})));let r=Vt(this._mathfield.options,Object.keys(hr.optionsAttributes).map(i=>qt(i)));G.set(this,{value:this._mathfield.getValue(),selection:this._mathfield.model.selection,options:r}),this._mathfield.dispose(),this._mathfield=null}upgradeProperty(r){if(this.hasOwnProperty(r)){let i=this[r];delete this[r],(r==="readonly"||r==="read-only")&&(r="readOnly"),this[r]=i}}attributeChangedCallback(r,i,o){if(i===o)return;let n=o!==null;switch(r){case"contenteditable":this._mathfield&&re(this._mathfield);break;case"disabled":this.disabled=n;break;case"read-only":case"readonly":this.readOnly=n;break;default:}}get readonly(){return this.hasAttribute("readonly")||this.hasAttribute("read-only")}set readonly(r){let i=!!r;i?(this.setAttribute("readonly",""),fi()?this._internals.ariaReadOnly="true":this.setAttribute("aria-readonly","true"),this.setAttribute("aria-readonly","true")):(fi()?this._internals.ariaReadOnly="false":this.removeAttribute("aria-readonly"),this.removeAttribute("readonly"),this.removeAttribute("read-only")),this._setOptions({readOnly:i})}get disabled(){return this.hasAttribute("disabled")}set disabled(r){var o;let i=!!r;i?this.setAttribute("disabled",""):this.removeAttribute("disabled"),fi()?this._internals.ariaDisabled=i?"true":"false":this.setAttribute("aria-disabled",i?"true":"false"),i&&((o=this._mathfield)!=null&&o.hasFocus)&&window.mathVirtualKeyboard.visible&&this._mathfield.executeCommand("hideVirtualKeyboard")}get value(){return this.getValue()}set value(r){this.setValue(r)}get defaultMode(){return this._getOption("defaultMode")}set defaultMode(r){this._setOptions({defaultMode:r})}get macros(){return this._getOption("macros")}set macros(r){this._setOptions({macros:r})}get registers(){return this._getOption("registers")}set registers(r){this._setOptions({registers:r})}get colorMap(){return this._getOption("colorMap")}set colorMap(r){this._setOptions({colorMap:r})}get backgroundColorMap(){return this._getOption("backgroundColorMap")}set backgroundColorMap(r){this._setOptions({backgroundColorMap:r})}get letterShapeStyle(){return this._getOption("letterShapeStyle")}set 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placeholderSymbol(r){this._setOptions({placeholderSymbol:r})}get popoverPolicy(){return this._getOption("popoverPolicy")}set popoverPolicy(r){this._setOptions({popoverPolicy:r})}get mathVirtualKeyboardPolicy(){return this._getOption("mathVirtualKeyboardPolicy")}set mathVirtualKeyboardPolicy(r){this._setOptions({mathVirtualKeyboardPolicy:r})}get inlineShortcuts(){return this._getOption("inlineShortcuts")}set inlineShortcuts(r){this._setOptions({inlineShortcuts:r})}get inlineShortcutTimeout(){return this._getOption("inlineShortcutTimeout")}set inlineShortcutTimeout(r){this._setOptions({inlineShortcutTimeout:r})}get keybindings(){return this._getOption("keybindings")}set keybindings(r){this._setOptions({keybindings:r})}get onInlineShortcut(){return this._getOption("onInlineShortcut")}set onInlineShortcut(r){this._setOptions({onInlineShortcut:r})}get onScrollIntoView(){return this._getOption("onScrollIntoView")}set onScrollIntoView(r){this._setOptions({onScrollIntoView:r})}get 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Object.assign(exports, MathLive); Object.defineProperty(exports, '__esModule', { value: true });}));