diff --git a/dist/mathlive.js b/dist/mathlive.js
index 75f8acdee..501f352d1 100644
--- a/dist/mathlive.js
+++ b/dist/mathlive.js
@@ -1 +1 @@
-var global,factory;global=this,factory=function(){const t=0,e=1,s=2,i=3,a=4,o=5,n=6,r=7,l=8,c=9,h=10,p=11,d=12;function m(t,e){e=e||0;const s=t.charCodeAt(e);if(55296<=s&&s<=56319&&e<t.length-1){const i=s,a=t.charCodeAt(e+1);return 56320<=a&&a<=57343?1024*(i-55296)+(a-56320)+65536:i}if(56320<=s&&s<=57343&&e>=1){const i=t.charCodeAt(e-1),a=s;return 55296<=i&&i<=56319?1024*(i-55296)+(a-56320)+65536:a}return s}function u(u,y){if((y=y||0)<0)return 0;if(y>=u.length-1)return u.length;let g=f(m(u,y));for(let k=y+1;k<u.length;k++){if(55296<=u.charCodeAt(k-1)&&u.charCodeAt(k-1)<=56319&&56320<=u.charCodeAt(k)&&u.charCodeAt(k)<=57343)continue;const y=f(m(u,k));if(x=y,!((b=g)===p&&x===d||b===i&&x===p||b===p&&x===i||b===t&&x===e||b!==s&&b!==t&&b!==e&&x!==s&&x!==t&&x!==e&&(b===n&&(x===n||x===r||x===c||x===h)||!(b!==c&&b!==r||x!==r&&x!==l)||(b===h||b===l)&&x===l||b===a&&x===a||x===i||x===o)))return k;g=y}var b,x;return u.length}function f(m){return 13===m?t:10===m?e:0<=m&&m<=9||11<=m&&m<=12||14<=m&&m<=31||127<=m&&m<=159||173===m||1536<=m&&m<=1541||1564===m||1757===m||1807===m||6158===m||8203===m||8206<=m&&m<=8207||8232===m||8233===m||8234<=m&&m<=8238||8288<=m&&m<=8292||8293===m||8294<=m&&m<=8303||55296<=m&&m<=57343||65279===m||65520<=m&&m<=65528||65529<=m&&m<=65531||69821===m||113824<=m&&m<=113827||119155<=m&&m<=119162||917504===m||917505===m||917506<=m&&m<=917535||917536<=m&&m<=917631||917632<=m&&m<=917759||918e3<=m&&m<=921599?s:768<=m&&m<=879||1155<=m&&m<=1159||1160<=m&&m<=1161||1425<=m&&m<=1469||1471===m||1473<=m&&m<=1474||1476<=m&&m<=1477||1479===m||1552<=m&&m<=1562||1611<=m&&m<=1631||1648===m||1750<=m&&m<=1756||1759<=m&&m<=1764||1767<=m&&m<=1768||1770<=m&&m<=1773||1809===m||1840<=m&&m<=1866||1958<=m&&m<=1968||2027<=m&&m<=2035||2070<=m&&m<=2073||2075<=m&&m<=2083||2085<=m&&m<=2087||2089<=m&&m<=2093||2137<=m&&m<=2139||2275<=m&&m<=2306||2362===m||2364===m||2369<=m&&m<=2376||2381===m||2385<=m&&m<=2391||2402<=m&&m<=2403||2433===m||2492===m||2494===m||2497<=m&&m<=2500||2509===m||2519===m||2530<=m&&m<=2531||2561<=m&&m<=2562||2620===m||2625<=m&&m<=2626||2631<=m&&m<=2632||2635<=m&&m<=2637||2641===m||2672<=m&&m<=2673||2677===m||2689<=m&&m<=2690||2748===m||2753<=m&&m<=2757||2759<=m&&m<=2760||2765===m||2786<=m&&m<=2787||2817===m||2876===m||2878===m||2879===m||2881<=m&&m<=2884||2893===m||2902===m||2903===m||2914<=m&&m<=2915||2946===m||3006===m||3008===m||3021===m||3031===m||3072===m||3134<=m&&m<=3136||3142<=m&&m<=3144||3146<=m&&m<=3149||3157<=m&&m<=3158||3170<=m&&m<=3171||3201===m||3260===m||3263===m||3266===m||3270===m||3276<=m&&m<=3277||3285<=m&&m<=3286||3298<=m&&m<=3299||3329===m||3390===m||3393<=m&&m<=3396||3405===m||3415===m||3426<=m&&m<=3427||3530===m||3535===m||3538<=m&&m<=3540||3542===m||3551===m||3633===m||3636<=m&&m<=3642||3655<=m&&m<=3662||3761===m||3764<=m&&m<=3769||3771<=m&&m<=3772||3784<=m&&m<=3789||3864<=m&&m<=3865||3893===m||3895===m||3897===m||3953<=m&&m<=3966||3968<=m&&m<=3972||3974<=m&&m<=3975||3981<=m&&m<=3991||3993<=m&&m<=4028||4038===m||4141<=m&&m<=4144||4146<=m&&m<=4151||4153<=m&&m<=4154||4157<=m&&m<=4158||4184<=m&&m<=4185||4190<=m&&m<=4192||4209<=m&&m<=4212||4226===m||4229<=m&&m<=4230||4237===m||4253===m||4957<=m&&m<=4959||5906<=m&&m<=5908||5938<=m&&m<=5940||5970<=m&&m<=5971||6002<=m&&m<=6003||6068<=m&&m<=6069||6071<=m&&m<=6077||6086===m||6089<=m&&m<=6099||6109===m||6155<=m&&m<=6157||6313===m||6432<=m&&m<=6434||6439<=m&&m<=6440||6450===m||6457<=m&&m<=6459||6679<=m&&m<=6680||6683===m||6742===m||6744<=m&&m<=6750||6752===m||6754===m||6757<=m&&m<=6764||6771<=m&&m<=6780||6783===m||6832<=m&&m<=6845||6846===m||6912<=m&&m<=6915||6964===m||6966<=m&&m<=6970||6972===m||6978===m||7019<=m&&m<=7027||7040<=m&&m<=7041||7074<=m&&m<=7077||7080<=m&&m<=7081||7083<=m&&m<=7085||7142===m||7144<=m&&m<=7145||7149===m||7151<=m&&m<=7153||7212<=m&&m<=7219||7222<=m&&m<=7223||7376<=m&&m<=7378||7380<=m&&m<=7392||7394<=m&&m<=7400||7405===m||7412===m||7416<=m&&m<=7417||7616<=m&&m<=7669||7676<=m&&m<=7679||8204<=m&&m<=8205||8400<=m&&m<=8412||8413<=m&&m<=8416||8417===m||8418<=m&&m<=8420||8421<=m&&m<=8432||11503<=m&&m<=11505||11647===m||11744<=m&&m<=11775||12330<=m&&m<=12333||12334<=m&&m<=12335||12441<=m&&m<=12442||42607===m||42608<=m&&m<=42610||42612<=m&&m<=42621||42654<=m&&m<=42655||42736<=m&&m<=42737||43010===m||43014===m||43019===m||43045<=m&&m<=43046||43204===m||43232<=m&&m<=43249||43302<=m&&m<=43309||43335<=m&&m<=43345||43392<=m&&m<=43394||43443===m||43446<=m&&m<=43449||43452===m||43493===m||43561<=m&&m<=43566||43569<=m&&m<=43570||43573<=m&&m<=43574||43587===m||43596===m||43644===m||43696===m||43698<=m&&m<=43700||43703<=m&&m<=43704||43710<=m&&m<=43711||43713===m||43756<=m&&m<=43757||43766===m||44005===m||44008===m||44013===m||64286===m||65024<=m&&m<=65039||65056<=m&&m<=65071||65438<=m&&m<=65439||66045===m||66272===m||66422<=m&&m<=66426||68097<=m&&m<=68099||68101<=m&&m<=68102||68108<=m&&m<=68111||68152<=m&&m<=68154||68159===m||68325<=m&&m<=68326||69633===m||69688<=m&&m<=69702||69759<=m&&m<=69761||69811<=m&&m<=69814||69817<=m&&m<=69818||69888<=m&&m<=69890||69927<=m&&m<=69931||69933<=m&&m<=69940||70003===m||70016<=m&&m<=70017||70070<=m&&m<=70078||70090<=m&&m<=70092||70191<=m&&m<=70193||70196===m||70198<=m&&m<=70199||70367===m||70371<=m&&m<=70378||70400<=m&&m<=70401||70460===m||70462===m||70464===m||70487===m||70502<=m&&m<=70508||70512<=m&&m<=70516||70832===m||70835<=m&&m<=70840||70842===m||70845===m||70847<=m&&m<=70848||70850<=m&&m<=70851||71087===m||71090<=m&&m<=71093||71100<=m&&m<=71101||71103<=m&&m<=71104||71132<=m&&m<=71133||71219<=m&&m<=71226||71229===m||71231<=m&&m<=71232||71339===m||71341===m||71344<=m&&m<=71349||71351===m||71453<=m&&m<=71455||71458<=m&&m<=71461||71463<=m&&m<=71467||92912<=m&&m<=92916||92976<=m&&m<=92982||94095<=m&&m<=94098||113821<=m&&m<=113822||119141===m||119143<=m&&m<=119145||119150<=m&&m<=119154||119163<=m&&m<=119170||119173<=m&&m<=119179||119210<=m&&m<=119213||119362<=m&&m<=119364||121344<=m&&m<=121398||121403<=m&&m<=121452||121461===m||121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y=e.size===$.DISPLAY.size?e.metrics.delim1:e.metrics.delim2,g=ae.makeCustomSizedDelim("mopen",this.leftDelim,y,!0,t.clone({mathstyle:e})),b=ae.makeCustomSizedDelim("mclose",this.rightDelim,y,!0,t.clone({mathstyle:e}));g.applyStyle(this.getStyle()),b.applyStyle(this.getStyle());const x=ne([g,f,b],t.parentSize!==t.size?"sizing reset-"+t.parentSize+" "+t.size:"genfrac");return this.bind(t,x)}decomposeLeftright(t){if(!this.body)return this.leftDelim?new de("math","mopen",this.leftDelim).decompose(t):this.rightDelim?new de("math","mclose",this.rightDelim).decompose(t):null;const e=t.clone(),s=ye(e,this.body),i=e.mathstyle;let a=0,o=0,n=[];if(a=ot.height(s)*i.sizeMultiplier,o=ot.depth(s)*i.sizeMultiplier,this.leftDelim&&(n.push(ae.makeLeftRightDelim("mopen",this.leftDelim,a,o,e)),n[n.length-1].applyStyle(this.getStyle())),s){for(let t=0;t<s.length;t++)if(s[t].delim){const i=s[t].caret,n=/ML__selected/.test(s[t].classes);s[t]=ae.makeLeftRightDelim("minner",s[t].delim,a,o,e),s[t].caret=i,s[t].selected(n)}n=n.concat(s)}if(this.rightDelim){let t=this.rightDelim;"?"===t&&(t=(t={"(":")","\\{":"\\}","\\[":"\\]","\\lbrace":"\\rbrace","\\langle":"\\rangle","\\lfloor":"\\rfloor","\\lceil":"\\rceil","\\vert":"\\vert","\\lvert":"\\rvert","\\Vert":"\\Vert","\\lVert":"\\rVert","\\lbrack":"\\rbrack","\\ulcorner":"\\urcorner","\\llcorner":"\\lrcorner","\\lgroup":"\\rgroup","\\lmoustache":"\\rmoustache"}[this.leftDelim])||this.leftDelim,e.opacity=.5),n.push(ae.makeLeftRightDelim("mclose",t,a,o,e)),n[n.length-1].applyStyle(this.getStyle())}return this.inner?re(n,i.cls()):n}decomposeSurd(t){const e=t.mathstyle,s=ye(t.cramp(),this.body),i=S.defaultRuleThickness/e.sizeMultiplier;let a=i;e.id<$.TEXT.id&&(a=e.metrics.xHeight);let o=i+a/4;const n=(ot.height(s)+ot.depth(s))*e.sizeMultiplier+(o+i),r=oe(ae.makeCustomSizedDelim("","\\surd",n,!1,t),"sqrt-sign");r.applyStyle(this.getStyle());const l=r.height+r.depth-i;l>ot.height(s)+ot.depth(s)+o&&(o=(o+l-ot.height(s)-ot.depth(s))/2),r.setTop(r.height-ot.height(s)-(o+i));const c=oe("",t.mathstyle.adjustTo($.TEXT)+" sqrt-line");let h;if(c.applyStyle(this.getStyle()),c.height=i,h=0===ot.height(s)&&0===ot.depth(s)?oe():ce(t,[s,o,c,i]),!this.index)return this.bind(t,ne([r,h],"sqrt"));const p=t.clone({mathstyle:$.SCRIPTSCRIPT}),d=oe(ye(p,this.index),e.adjustTo($.SCRIPTSCRIPT)),m=Math.max(r.height,h.height),u=Math.max(r.depth,h.depth),f=ce(t,[d],"shift",-(.6*(m-u)));return this.bind(t,ne([oe(f,"root"),r,h],"sqrt"))}decomposeAccent(t){const e=t.mathstyle;let s=ye(t.cramp(),this.body);(this.superscript||this.subscript)&&(s=this.attachSupsub(t,ne(s),"mord"));let i=0;Array.isArray(this.body)&&1===this.body.length&&this.body[0].isCharacterBox()&&(i=ot.skew(s));const a=Math.min(ot.height(s),e.metrics.xHeight),o=ot.makeSymbol("Main-Regular",this.accent,"math");o.italic=0;const n="⃗"===this.accent?" accent-vec":"";let r=oe(oe(o),"accent-body"+n);return(r=ce(t,[s,-a,r])).children[1].setLeft(2*i),ne(r,"accent")}decomposeLine(t){const e=t.mathstyle,s=ye(t.cramp(),this.body),i=S.defaultRuleThickness/e.sizeMultiplier,a=oe("",t.mathstyle.adjustTo($.TEXT)+" "+this.position+"-line");let o;if(a.height=i,a.maxFontSize=1,"overline"===this.position)o=ce(t,[s,3*i,a,i]);else{const e=oe(s);o=ce(t,[i,a,3*i,e],"top",ot.height(e))}return ne(o,this.position)}decomposeOverunder(t){const e=ye(t,this.body),s=t.clone({mathstyle:"scriptstyle"}),i=this.overscript?oe(ye(s,this.overscript),t.mathstyle.adjustTo(s.mathstyle)):null,a=this.underscript?oe(ye(s,this.underscript),t.mathstyle.adjustTo(s.mathstyle)):null;return fe(t,e,0,0,i,a,this.mathtype||"mrel")}decomposeOverlap(t){const e=oe(ye(t,this.body),"inner");return ne([e,oe("","fix")],"left"===this.align?"llap":"rlap")}decomposeRule(t){const e=t.mathstyle,s=ne("","rule");let i=this.shift&&!isNaN(this.shift)?this.shift:0;i/=e.sizeMultiplier;const a=this.width/e.sizeMultiplier,o=this.height/e.sizeMultiplier;return s.setStyle("border-right-width",a,"em"),s.setStyle("border-top-width",o,"em"),s.setStyle("margin-top",-(o-i),"em"),s.setStyle("border-color",t.color),s.width=a,s.height=o+i,s.depth=-i,s}decomposeOp(t){const e=t.mathstyle;let s,i=!1;e.size===$.DISPLAY.size&&"string"==typeof this.body&&"\\smallint"!==this.body&&(i=!0);let a=0,o=0;if(this.symbol){const n=i?"Size2-Regular":"Size1-Regular";(s=ot.makeSymbol(n,this.body,"op-symbol "+(i?"large-op":"small-op"))).type="mop",a=(s.height-s.depth)/2-e.metrics.axisHeight*e.sizeMultiplier,o=s.italic,this.bind(t,s)}else Array.isArray(this.body)?(s=ot.makeOp(ye(t,this.body)),this.bind(t,s)):s=this.makeSpan(t,this.body);if(this.superscript||this.subscript){const i=this.limits||"auto";return this.alwaysHandleSupSub||"limits"===i||"auto"===i&&e.size===$.DISPLAY.size?this.attachLimits(t,s,a,o):this.attachSupsub(t,s,"mop")}return this.symbol&&s.setTop(a),s}applySizing(t){const e={size1:.5,size2:.7,size3:.8,size4:.9,size5:1,size6:1.2,size7:1.44,size8:1.73,size9:2.07,size10:2.49}[this.size]*t.mathstyle.sizeMultiplier;t.size=this.size,t.sizeMultiplier=e}decomposeBox(t){const e=ne(ye(t,this.body));e.setStyle("position","relative");const s=ne(e),i=this.padding?this.padding:S.fboxsep;return s.setStyle("padding",i,"em"),this.backgroundcolor&&s.setStyle("background-color",this.backgroundcolor),this.framecolor&&s.setStyle("border",S.fboxrule+"em solid "+this.framecolor),this.border&&s.setStyle("border",this.border),s.height=e.height,s.depth=e.depth,s.setStyle("position","relative"),s.setStyle("height",s.height+s.depth,"em"),this.bind(t,s)}decomposeEnclose(t){const e=ne(ye(t,this.body)),s="auto"===this.padding?.2:this.padding;e.setStyle("padding",s,"em"),e.setStyle("display","inline-block"),e.setStyle("height",e.height+e.depth,"em"),e.setStyle("left",-s,"em"),this.backgroundcolor&&"transparent"!==this.backgroundcolor&&e.setStyle("background-color",this.backgroundcolor);let i="";if(this.notation.box&&e.setStyle("border",this.borderStyle),this.notation.actuarial&&(e.setStyle("border-top",this.borderStyle),e.setStyle("border-right",this.borderStyle)),this.notation.madruwb&&(e.setStyle("border-bottom",this.borderStyle),e.setStyle("border-right",this.borderStyle)),this.notation.roundedbox&&(e.setStyle("border-radius",(ot.height(e)+ot.depth(e))/2,"em"),e.setStyle("border",this.borderStyle)),this.notation.circle&&(e.setStyle("border-radius","50%"),e.setStyle("border",this.borderStyle)),this.notation.top&&e.setStyle("border-top",this.borderStyle),this.notation.left&&e.setStyle("border-left",this.borderStyle),this.notation.right&&e.setStyle("border-right",this.borderStyle),this.notation.bottom&&e.setStyle("border-bottom",this.borderStyle),this.notation.horizontalstrike&&(i+='<line x1="3%"  y1="50%" x2="97%" y2="50%"',i+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,i+=' stroke-linecap="round"',this.svgStrokeStyle&&(i+=` stroke-dasharray="${this.svgStrokeStyle}"`),i+="/>"),this.notation.verticalstrike&&(i+='<line x1="50%"  y1="3%" x2="50%" y2="97%"',i+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,i+=' stroke-linecap="round"',this.svgStrokeStyle&&(i+=` stroke-dasharray="${this.svgStrokeStyle}"`),i+="/>"),this.notation.updiagonalstrike&&(i+='<line x1="3%"  y1="97%" x2="97%" y2="3%"',i+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,i+=' stroke-linecap="round"',this.svgStrokeStyle&&(i+=` stroke-dasharray="${this.svgStrokeStyle}"`),i+="/>"),this.notation.downdiagonalstrike&&(i+='<line x1="3%"  y1="3%" x2="97%" y2="97%"',i+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,i+=' stroke-linecap="round"',this.svgStrokeStyle&&(i+=` stroke-dasharray="${this.svgStrokeStyle}"`),i+="/>"),i){let t;return"none"!==this.shadow&&(t="auto"===this.shadow?"filter: drop-shadow(0 0 .5px rgba(255, 255, 255, .7)) drop-shadow(1px 1px 2px #333)":"filter: drop-shadow("+this.shadow+")"),ot.makeSVG(e,i,t)}return e}decompose(t,e){let s=null;if(!this.type||/mord|minner|mbin|mrel|mpunct|mopen|mclose|textord/.test(this.type))(s="string"==typeof this.body?this.makeSpan(t,this.body):this.makeSpan(t,ye(t,this.body))).type=this.type;else if("group"===this.type||"root"===this.type)s=this.decomposeGroup(t);else if("array"===this.type)s=this.decomposeArray(t);else if("genfrac"===this.type)s=this.decomposeGenfrac(t);else if("surd"===this.type)s=this.decomposeSurd(t);else if("accent"===this.type)s=this.decomposeAccent(t);else if("leftright"===this.type)s=this.decomposeLeftright(t);else if("delim"===this.type)(s=oe("","")).delim=this.delim;else if("sizeddelim"===this.type)s=this.bind(t,ae.makeSizedDelim(this.cls,this.delim,this.size,t));else if("line"===this.type)s=this.decomposeLine(t);else if("overunder"===this.type)s=this.decomposeOverunder(t);else if("overlap"===this.type)s=this.decomposeOverlap(t);else if("rule"===this.type)s=this.decomposeRule(t);else if("styling"===this.type);else if("msubsup"===this.type)s=ne("​"),e&&(s.height=e[0].height,s.depth=e[0].depth);else if("mop"===this.type)s=this.decomposeOp(t);else if("space"===this.type)s=this.makeSpan(t," ");else if("spacing"===this.type)if("​"===this.body)s=this.makeSpan(t,"​");else if(" "===this.body)s="math"===this.mode?this.makeSpan(t," "):this.makeSpan(t," ");else if(this.width)s=oe("​","mspace "),this.width>0?s.setWidth(this.width):s.setStyle("margin-left",this.width,"em");else{const t={qquad:"qquad",quad:"quad",enspace:"enspace",";":"thickspace",":":"mediumspace",",":"thinspace","!":"negativethinspace"}[this.body]||"quad";s=oe("​","mspace 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i=t.mathstyle;let a=null,o=null;if(this.superscript){const e=ye(t.sup(),this.superscript);a=oe(e,i.adjustTo(i.sup()))}if(this.subscript){const e=ye(t.sub(),this.subscript);o=oe(e,i.adjustTo(i.sub()))}let n,r=0,l=0;this.isCharacterBox()||(r=ot.height(e)-i.metrics.supDrop,l=ot.depth(e)+i.metrics.subDrop),n=i===$.DISPLAY?i.metrics.sup1:i.cramped?i.metrics.sup3:i.metrics.sup2;const c=$.TEXT.sizeMultiplier*i.sizeMultiplier,h=.5/S.ptPerEm/c;let p=null;if(o&&a){r=Math.max(r,n,a.depth+.25*i.metrics.xHeight),l=Math.max(l,i.metrics.sub2);const s=S.defaultRuleThickness;if(r-ot.depth(a)-(ot.height(o)-l)<4*s){l=4*s-(r-a.depth)+ot.height(o);const t=.8*i.metrics.xHeight-(r-ot.depth(a));t>0&&(r+=t,l-=t)}p=ce(t,[o,l,a,-r],"individualShift"),this.symbol&&p.children[0].setLeft(-ot.italic(e))}else o&&!a?(l=Math.max(l,i.metrics.sub1,ot.height(o)-.8*i.metrics.xHeight),(p=ce(t,[o],"shift",l)).children[0].setRight(h),this.isCharacterBox()&&p.children[0].setLeft(-ot.italic(e))):!o&&a&&(r=Math.max(r,n,a.depth+.25*i.metrics.xHeight),(p=ce(t,[a],"shift",-r)).children[0].setRight(h));const d=oe(p,"msubsup");return this.caret&&(d.caret=this.caret),ot.makeSpanOfType(s,[e,d])}attachLimits(t,e,s,i){const a=this.superscript?oe(ye(t.sup(),this.superscript),t.mathstyle.adjustTo(t.mathstyle.sup())):null,o=this.subscript?oe(ye(t.sub(),this.subscript),t.mathstyle.adjustTo(t.mathstyle.sub())):null;return fe(t,e,s,i,a,o,"mop")}bind(t,e){return"first"!==this.type&&"​"!==this.body&&(this.id=function(t){let e;"boolean"==typeof t.generateID&&t.generateID?e=Date.now().toString(36).slice(-2)+Math.floor(1e5*Math.random()).toString(36):"boolean"!=typeof t.generateID&&(t.generateID.overrideID?e=t.generateID.overrideID:(e=t.generateID.seed.toString(36),t.generateID.seed+=1));return e}(t),this.id&&(e.attributes||(e.attributes={}),e.attributes["data-atom-id"]=this.id)),e}makeSpan(t,e){const s="textord"===this.type?"mord":this.type,i=ot.makeSpanOfType(s,e);return i.applyStyle(this.getStyle()),t.parentSize!==t.size&&(i.classes+=" sizing reset-"+t.parentSize,i.classes+=" "+t.size),"text"===this.mode&&(i.classes+=" ML__text"),t.mathstyle.isTight()&&(i.isTight=!0),"math"!==this.mode&&(i.italic=0),i.setRight(i.italic),"number"==typeof t.opacity&&i.setStyle("opacity",t.opacity),this.bind(t,i),this.caret&&(this.superscript||this.subscript||(i.caret=this.caret,t.mathstyle.isTight()&&(i.isTight=!0))),i}}function me(t){const e=oe("​","arraycolsep");return e.setWidth(t,"em"),e}function ue(t,e,s,i){const a=[];for(const o of e){const e=oe(ye(t,i));e.depth=o.depth,e.height=o.height,a.push(e),a.push(o.pos-s)}return ce(t,a,"individualShift")}function fe(t,e,s,i,a,o,n){if(!a&&!o)return e;e=oe(e);let r=0,l=0;a&&(r=Math.max(S.bigOpSpacing1,S.bigOpSpacing3-a.depth)),o&&(l=Math.max(S.bigOpSpacing2,S.bigOpSpacing4-o.height));let c=null;if(o&&a){const n=S.bigOpSpacing5+ot.height(o)+ot.depth(o)+l+ot.depth(e)+s;(c=ce(t,[S.bigOpSpacing5,o,l,e,r,a,S.bigOpSpacing5],"bottom",n)).children[0].setLeft(-i),c.children[2].setLeft(i)}else if(o&&!a){const a=ot.height(e)-s;(c=ce(t,[S.bigOpSpacing5,o,l,e],"top",a)).children[0].setLeft(-i)}else if(!o&&a){const o=ot.depth(e)+s;(c=ce(t,[e,r,a,S.bigOpSpacing5],"bottom",o)).children[1].setLeft(i)}return ot.makeSpanOfType(n,c,"op-limits")}function ye(t,e){t instanceof V.Context||(t=new V.Context(t));const s=!t.generateID||!t.generateID.groupNumbers;let i=[];if(Array.isArray(e)){if(0===e.length)return i;if(1===e.length)(i=e[0].decompose(t))&&s&&e[0].isSelected&&i.forEach(t=>t.selected(!0));else{let a="none",o=e[1].type,n=[],r=null,l=null;for(let c=0;c<e.length;c++){"mbin"===e[c].type&&(/first|none|mrel|mpunct|mopen|mbin|mop/.test(a)||/none|mrel|mpunct|mclose/.test(o))&&(e[c].type="mord"),"​"===e[c].body&&(e[c].superscript||e[c].subscript)||(l=null),t.generateID.groupNumbers&&r&&"mord"===e[c].type&&/[0-9,.]/.test(e[c].latex)&&(t.generateID.overrideID=r);const h=e[c].decompose(t,l);if(t.generateID&&(t.generateID.overrideID=null),h){const a=[].concat.apply([],h);l=a,t.generateID&&t.generateID.groupNumbers&&("mord"===e[c].type&&/[0-9,.]/.test(e[c].latex)&&(r||(r=e[c].id)),("mord"!==e[c].type||/[0-9,.]/.test(e[c].latex)||e[c].superscript||e[c].subscript)&&r&&(r=null)),s&&e[c].isSelected?(n=n.concat(a)).forEach(t=>t.selected(!0)):(n.length>0&&(i=[...i,...n],n=[]),i=i.concat(a))}a=e[c].getFinalBaseElement().type,o=e[c+1]?e[c+1].getInitialBaseElement().type:"none"}n.length>0&&(i=[...i,...n],n=[])}}else e&&(i=e.decompose(t))&&s&&e.isSelected&&i.forEach(t=>t.selected(!0));if(!i||0===i.length)return null;const a={size1:.5,size2:.7,size3:.8,size4:.9,size5:1,size6:1.2,size7:1.44,size8:1.73,size9:2.07,size10:2.49};if(t.mathstyle!==t.parentMathstyle){const e=t.mathstyle.sizeMultiplier/t.parentMathstyle.sizeMultiplier;for(const t of i)t.height*=e,t.depth*=e}if(t.size!==t.parentSize){const e=a[t.size]/a[t.parentSize];for(const t of i)t.height*=e,t.depth*=e}return i}var ge={MathAtom:de,decompose:ye,makeRoot:function(t,e){const s=new de(t=t||"math","root");return s.body=e||[],0!==s.body.length&&"first"===s.body[0].type||s.body.unshift(new de("","first")),s},GREEK_REGEX:he};const be={m0:"#3f3d99",m1:"#993d71",m2:"#998b3d",m3:"#3d9956",m4:"#3d5a99",m5:"#993d90",m6:"#996d3d",m7:"#43993d",m8:"#3d7999",m9:"#843d99"},xe={apricot:"#FBB982",aquamarine:"#00B5BE",bittersweet:"#C04F17",black:"#221E1F",blue:"#2D2F92",bluegreen:"#00B3B8",blueviolet:"#473992",brickred:"#B6321C",brown:"#792500",burntorange:"#F7921D",cadetblue:"#74729A",carnationpink:"#F282B4",cerulean:"#00A2E3",cornflowerblue:"#41B0E4",cyan:"#00AEEF",dandelion:"#FDBC42",darkorchid:"#A4538A",emerald:"#00A99D",forestgreen:"#009B55",fuchsia:"#8C368C",goldenrod:"#FFDF42",gray:"#949698",green:"#00A64F",greenyellow:"#DFE674",junglegreen:"#00A99A",lavender:"#F49EC4",limegreen:"#8DC73E",magenta:"#EC008C",mahogany:"#A9341F",maroon:"#AF3235",melon:"#F89E7B",midnightblue:"#006795",mulberry:"#A93C93",navyblue:"#006EB8",olivegreen:"#3C8031",orange:"#F58137",orangered:"#ED135A",orchid:"#AF72B0",peach:"#F7965A",periwinkle:"#7977B8",pinegreen:"#008B72",plum:"#92268F",processblue:"#00B0F0",purple:"#99479B",rawsienna:"#974006",red:"#ED1B23",redorange:"#F26035",redviolet:"#A1246B",rhodamine:"#EF559F",royalblue:"#0071BC",royalpurple:"#613F99",rubinered:"#ED017D",salmon:"#F69289",seagreen:"#3FBC9D",sepia:"#671800",skyblue:"#46C5DD",springgreen:"#C6DC67",tan:"#DA9D76",tealblue:"#00AEB3",thistle:"#D883B7",turquoise:"#00B4CE",violet:"#58429B",violetred:"#EF58A0",white:"#FFFFFF",wildstrawberry:"#EE2967",yellow:"#FFF200",yellowgreen:"#98CC70",yelloworange:"#FAA21A"};var ke={stringToColor:function(t){const e=t.toLowerCase().split("!");let s,i,a,o=255,n=255,r=255,l=-1;const c=e.length>0&&"-"===e[0].charAt(0);c&&(e[0]=e[0].slice(1));for(let t=0;t<e.length;t++){s=o,i=n,a=r;let c=e[t].match(/([a-z0-9]*)/);c&&(c=c[1]);let h=xe[c]||be[c];h||(h=e[t]);let p=h.match(/^#([0-9a-f]{2})([0-9a-f]{2})([0-9a-f]{2})$/i);if(p&&p[1]&&p[2]&&p[3])o=Math.max(0,Math.min(255,parseInt(p[1],16))),n=Math.max(0,Math.min(255,parseInt(p[2],16))),r=Math.max(0,Math.min(255,parseInt(p[3],16)));else if((p=h.match(/^#([0-9a-f]{3})$/i))&&p[1]){const t=parseInt(p[1][0],16),e=parseInt(p[1][1],16),s=parseInt(p[1][2],16);o=Math.max(0,Math.min(255,16*t+t)),n=Math.max(0,Math.min(255,16*e+e)),r=Math.max(0,Math.min(255,16*s+s))}else{if(!((p=h.match(/^rgb\s*\(\s*(\d+)\s*,\s*(\d+)\s*,\s*(\d+)\s*\)$/i))&&p[1]&&p[2]&&p[3]))return null;o=Math.max(0,Math.min(255,parseInt(p[1]))),n=Math.max(0,Math.min(255,parseInt(p[2]))),r=Math.max(0,Math.min(255,parseInt(p[3])))}l>=0&&(o=(1-l)*o+l*s,n=(1-l)*n+l*i,r=(1-l)*r+l*a,l=-1),t+1<e.length&&(l=Math.max(0,Math.min(100,parseInt(e[++t])))/100)}return l>=0&&(o=l*o+(1-l)*s,n=l*n+(1-l)*i,r=l*r+(1-l)*a),c&&(o=255-o,n=255-n,r=255-r),"#"+("00"+Math.round(o).toString(16)).slice(-2)+("00"+Math.round(n).toString(16)).slice(-2)+("00"+Math.round(r).toString(16)).slice(-2)},colorToString:function(t){let e=t.toUpperCase();for(const t in xe)if(xe[t]===e){e=t;break}for(const t in be)if(be[t]===e){e=t;break}return e},AREA_COLORS:["#d35d60","#7293cb","#e1974d","#84bb5d","#9066a7","#aD6a58","#f5a4ce","#fff590","#212121","#818787","#d4d5d2","#ffffff"],LINE_COLORS:["#cc2428","#3769b1","#da7e30","#409852","#6b4c9a","#922426","#e7298a","#ffe907","#000000","#525055","#adafaa","#ffffff"]};const ve=ge.MathAtom;class we{constructor(t,e,s){this.tokens=t,this.index=0,this.args=e,this.macros=s,this.mathList=[],this.style={},this.parseMode="math",this.tabularMode=!1,this.endCount=0}swapMathList(t){const e=this.mathList;return this.mathList=t||[],e}swapParseMode(t){const e=this.parseMode;return this.parseMode=t,e}end(){return this.endCount++,this.index>=this.tokens.length||this.endCount>1e3}get(){return this.endCount=0,this.index<this.tokens.length?this.tokens[this.index++]:null}peek(t){const e=this.index+(t||0);return e<this.tokens.length?this.tokens[e]:null}lastMathAtom(){const t=0===this.mathList.length?"none":this.mathList[this.mathList.length-1].type;if("mop"!==t&&"msubsup"!==t){const t=new ve(this.parseMode,"msubsup","​");t.attributes={"aria-hidden":!0},this.mathList.push(t)}return this.mathList[this.mathList.length-1]}hasToken(t){const e=this.index;return e<this.tokens.length&&this.tokens[e].type===t}hasLiteral(t){const e=this.index;return e<this.tokens.length&&("literal"===this.tokens[e].type&&(!t||this.tokens[e].value===t))}hasLiteralPattern(t){return this.hasToken("literal")&&t.test(this.tokens[this.index].value)}hasCommand(t){const e=this.index;return e<this.tokens.length&&("command"===this.tokens[e].type&&this.tokens[e].value===t)}hasInfixCommand(){const t=this.index;if(t<this.tokens.length&&"command"===this.tokens[t].type){const e=Nt.getInfo("\\"+this.tokens[t].value,this.parseMode,this.macros);return e&&e.infix}return!1}hasColumnSeparator(){const t=this.index;return!!(this.tabularMode&&t<this.tokens.length)&&("literal"===this.tokens[t].type&&"&"===this.tokens[t].value)}hasRowSeparator(){const t=this.index;return!!(this.tabularMode&&t<this.tokens.length)&&("command"===this.tokens[t].type&&("\\"===this.tokens[t].value||"cr"===this.tokens[t].value))}parseColumnSeparator(){return!!this.hasColumnSeparator()&&(this.index++,!0)}placeholder(){return this.args&&"string"==typeof this.args["?"]?Me(x.tokenize(this.args["?"]),this.parseMode,null,this.macros):[new ve(this.parseMode,"placeholder","?",this.style)]}hasImplicitCommand(t){if(this.index<this.tokens.length){const e=this.tokens[this.index];if("command"===e.type)return t.includes(e.value)}return!1}parseRowSeparator(){return!!this.hasRowSeparator()&&(this.index++,!0)}parseToken(t){return!!this.hasToken(t)&&(this.index++,!0)}skipWhitespace(){let t=!1;for(;this.hasToken("space");)this.index++,t=!0;return t}skipUntilToken(t){for(;!this.end()&&!this.parseToken(t);)this.get()}parseCommand(t){return!!this.hasCommand(t)&&(this.index++,!0)}parseLiteral(t){return!!this.hasLiteral(t)&&(this.index++,!0)}parseFiller(){let t=!1,e=!1;do{const s=this.skipWhitespace(),i=this.parseCommand("relax");t=t||s||i,e=!s&&!i}while(!e);return t}parseKeyword(t){const e=this.index;let s=this.end(),i="";for(;!s;){const e=this.get();"literal"===e.type&&(i+=e.value),s=this.end()||"literal"!==e.type||i.length>=t.length}const a=t.toUpperCase()===i.toUpperCase();return a||(this.index=e),a}scanString(){let t="",e=this.end();for(;!e;){if(this.hasLiteral("]"))e=!0;else if(this.hasToken("literal"))t+=this.get().value;else if(this.skipWhitespace())t+=" ";else if(this.hasToken("command")){const e=this.get();"space"===e.value?t+=" ":t+=e.value}else e=!0;e=e||this.end()}return t}scanColor(){return ke.stringToColor(this.scanString())}scanNumber(t){const e=this.parseLiteral("-");e||this.parseLiteral("+"),this.skipWhitespace(),t=!!t;let s=10,i=/[0-9]/;this.parseLiteral("'")?(s=8,i=/[0-7]/,t=!0):(this.parseLiteral('"')||this.parseLiteral("x"))&&(s=16,i=/[0-9A-F]/,t=!0);let a="";for(;this.hasLiteralPattern(i);)a+=this.get().value;if(!t&&(this.parseLiteral(".")||this.parseLiteral(",")))for(a+=".";this.hasLiteralPattern(i);)a+=this.get().value;const o=t?parseInt(a,s):parseFloat(a);return e?-o:o}scanDimen(){const t=this.scanNumber(!1);let e;return this.skipWhitespace(),e=this.parseKeyword("pt")?C.toEm(t,"pt"):this.parseKeyword("mm")?C.toEm(t,"mm"):this.parseKeyword("cm")?C.toEm(t,"cm"):this.parseKeyword("ex")?C.toEm(t,"ex"):this.parseKeyword("px")?C.toEm(t,"px"):this.parseKeyword("em")?C.toEm(t,"em"):this.parseKeyword("bp")?C.toEm(t,"bp"):this.parseKeyword("dd")?C.toEm(t,"dd"):this.parseKeyword("pc")?C.toEm(t,"pc"):this.parseKeyword("in")?C.toEm(t,"in"):this.parseKeyword("mu")?C.toEm(t,"mu"):C.toEm(t,"pt")}scanSkip(){const t=this.scanDimen();return this.skipWhitespace(),this.parseKeyword("plus")&&this.scanDimen(),this.skipWhitespace(),this.parseKeyword("minus")&&this.scanDimen(),t}scanColspec(){this.skipWhitespace();const t=[];for(;!this.end()&&!this.hasToken("}")&&!this.hasLiteral("]");)if(this.hasLiteral()){const e=this.get().value;if("lcr".includes(e))t.push({align:e});else if("|"===e)t.push({rule:!0});else if("@"===e){if(this.parseToken("{")){const e=this.swapParseMode("math");t.push({gap:this.scanImplicitGroup(t=>"}"===t.type)}),this.swapParseMode(e)}this.parseToken("}")}}return t}scanModeSet(){let t;if(this.parseCommand("(")&&(t=")"),!t&&this.parseCommand("[")&&(t="]"),!t)return null;const e=this.swapParseMode("math"),s=new ve("math","group");return s.mathstyle=")"===t?"textstyle":"displaystyle",s.body=this.scanImplicitGroup(e=>"command"===e.type&&e.value===t),this.parseCommand(t),this.swapParseMode(e),s.body&&0!==s.body.length?s:null}scanModeShift(){if(!this.hasToken("$")&&!this.hasToken("$$"))return null;const t=this.get().type,e=new ve("math","group");e.mathstyle="$"===t?"textstyle":"displaystyle",e.latexOpen="textstyle"===e.mathstyle?"$":"$$",e.latexClose=e.latexOpen;const s=this.swapParseMode("math");return e.body=this.scanImplicitGroup(e=>e.type===t),this.parseToken(t),this.swapParseMode(s),e.body&&0!==e.body.length?e:null}scanEnvironment(){if(!this.parseCommand("begin"))return null;const t=this.scanArg("string"),e=Nt.getEnvironmentInfo(t),s=[];if(e&&e.params)for(const t of e.params)if(t.optional){const e=this.scanOptionalArg(t.type);s.push(e)}else s.push(this.scanArg(t.type));const i=this.parseMode,a=this.tabularMode,o=this.swapMathList([]);this.tabularMode=e.tabular;const n=[],r=[];let l=[],c=!1;do{if(!(c=this.end())&&this.parseCommand("end")&&(c=this.scanArg("string")===t),!c)if(this.parseColumnSeparator())l.push(this.swapMathList([]));else if(this.parseRowSeparator()){l.push(this.swapMathList([]));let t=0;this.skipWhitespace(),this.parseLiteral("[")&&(t=this.scanDimen(),this.skipWhitespace(),this.parseLiteral("]")),r.push(t||0),n.push(l),l=[]}else this.mathList=this.mathList.concat(this.scanImplicitGroup())}while(!c);l.push(this.swapMathList([])),l.length>0&&n.push(l);const h=this.swapMathList(o);if(this.parseMode=i,this.tabularMode=a,!e.tabular&&0===h.length)return null;if(e.tabular&&0===n.length)return null;const p=new ve(this.parseMode,"array",h,e.parser?e.parser(t,s,n):{});return p.array=n,p.rowGaps=r,p.env={...e},p.env.name=t,p}scanImplicitGroup(t){const e=this.style;t||(t=(t=>"}"===t.type||"literal"===t.type&&"&"===t.value||"command"===t.type&&/^(end|cr|\\)$/.test(t.value)));let s=null,i=null;const a=this.swapMathList([]);for(;!this.end()&&!t(this.peek());)if(this.hasImplicitCommand(Se)){const t=new ve(this.parseMode,"sizing");t.size={tiny:"size1",scriptsize:"size2",footnotesize:"size3",small:"size4",normalsize:"size5",large:"size6",Large:"size7",LARGE:"size8",huge:"size9",Huge:"size10"}[this.get().value],this.mathList.push(t)}else if(this.hasImplicitCommand(Ae)){this.parseMode="math";const t=new ve("math","mathstyle");t.mathstyle=this.get().value,this.mathList.push(t)}else this.hasInfixCommand()&&!s?(s=this.get(),i=this.swapMathList([])):this.parseAtom();let o;if(s){const t=this.swapMathList(a),e=Nt.getInfo("\\"+s.value,"math",this.macros);o=e?[new ve(this.parseMode,e.type,e.value||s.value,e.parse?e.parse("\\"+s.value,[i,t]):null)]:[new ve(this.parseMode,"mop",s.value)]}else o=this.swapMathList(a);return this.style=e,o}scanGroup(){if(!this.parseToken("{"))return null;const t=new ve(this.parseMode,"group");return t.body=this.scanImplicitGroup(t=>"}"===t.type),this.parseToken("}"),t}scanSmartFence(){if(this.skipWhitespace(),!this.parseLiteral("("))return null;const t=new ve(this.parseMode,"leftright");t.leftDelim="(",t.inner=!1;const e=this.swapMathList([]);let s=1;for(;!this.end()&&0!==s;)this.hasLiteral("(")&&(s+=1),this.hasLiteral(")")&&(s-=1),0!==s&&this.parseAtom();return 0===s&&this.parseLiteral(")"),t.rightDelim=0===s?")":"?",t.body=this.swapMathList(e),t}scanDelim(){this.skipWhitespace();const t=this.get();if(!t)return null;let e=".";"command"===t.type?e="\\"+t.value:"literal"===t.type&&(e=t.value);const s=Nt.getInfo(e,"math",this.macros);return s?"mopen"===s.type||"mclose"===s.type?e:/^(\?|\||<|>|\\vert|\\Vert|\\\||\\surd|\\uparrow|\\downarrow|\\Uparrow|\\Downarrow|\\updownarrow|\\Updownarrow|\\mid|\\mvert|\\mVert)$/.test(e)?e:null:null}scanLeftRight(){if(this.parseCommand("right")||this.parseCommand("mright")){const t=new ve(this.parseMode,"leftright");return t.rightDelim=this.scanDelim()||".",t}const t=this.style;let e="right";if(!this.parseCommand("left")){if(!this.parseCommand("mleft"))return null;e="mright"}const s=this.scanDelim()||".",i=this.swapMathList([]);for(;!this.end()&&!this.parseCommand(e);)this.parseAtom();this.style=t;const a=this.scanDelim(),o=new ve(this.parseMode,"leftright");return o.leftDelim=s,o.rightDelim=a,o.inner="right"===e,o.body=this.swapMathList(i),o}parseSupSub(){if("math"!==this.parseMode)return!1;let t=!1;for(;this.hasToken("^")||this.hasToken("_")||this.hasLiteral("'");){let e;if(this.hasToken("^")?e="superscript":this.hasToken("_")&&(e="subscript"),this.parseToken("^")||this.parseToken("_")){const s=this.scanArg();if(s){const i=this.lastMathAtom();i[e]=i[e]||[],i[e]=i[e].concat(s),t=!0}}else if(this.parseLiteral("'")){const e=this.lastMathAtom();e.superscript=e.superscript||[],e.superscript.push(new ve(e.parseMode,"mord","′")),t=!0}}return t}parseLimits(){if(this.parseCommand("limits")){const t=this.lastMathAtom();return t.limits="limits",t.explicitLimits=!0,!0}if(this.parseCommand("nolimits")){const t=this.lastMathAtom();return t.limits="nolimits",t.explicitLimits=!0,!0}return!1}scanOptionalArg(t){if(t=t&&"auto"!==t?t:this.parseMode,this.skipWhitespace(),!this.parseLiteral("["))return null;const e=this.parseMode;this.parseMode=t;const s=this.swapMathList();let i;for(;!this.end()&&!this.parseLiteral("]");)if("string"===t)i=this.scanString();else if("number"===t)i=this.scanNumber();else if("dimen"===t)i=this.scanDimen();else if("skip"===t)i=this.scanSkip();else if("colspec"===t)i=this.scanColspec();else if("color"===t)i=this.scanColor()||"#ffffff";else if("bbox"===t){const t=this.scanString().toLowerCase().trim().split(/,(?![^(]*\)(?:(?:[^(]*\)){2})*[^"]*$)/);for(const e of t){const t=ke.stringToColor(e);if(t)(i=i||{}).backgroundcolor=t;else{const t=e.match(/^\s*([0-9.]+)\s*([a-z][a-z])/);if(t)(i=i||{}).padding=C.toEm(t[1],t[2]);else{const t=e.match(/^\s*border\s*:\s*(.*)/);t&&((i=i||{}).border=t[1])}}}}else this.mathList=this.mathList.concat(this.scanImplicitGroup(t=>"literal"===t.type&&"]"===t.value));this.parseMode=e;const a=this.swapMathList(s);return i||a}scanArg(t){let e;if(t=t&&"auto"!==t?t:this.parseMode,this.parseFiller(),!this.parseToken("{")){if("delim"===t)return this.scanDelim()||".";if(/^(math|text)$/.test(t)){const e=this.parseMode;this.parseMode=t;const s=this.scanToken();return this.parseMode=e,Array.isArray(s)?s:s?[s]:null}}if(this.hasToken("#")){const t=this.get();return this.skipUntilToken("}"),"?"===t.value?this.placeholder():this.args?void 0===this.args[t.value]&&void 0!==this.args["?"]?this.placeholder():this.args[t.value]||null:null}const s=this.parseMode;this.parseMode=t;const i=this.swapMathList([]);if("string"===t)e=this.scanString(),this.skipUntilToken("}");else if("number"===t)e=this.scanNumber(),this.skipUntilToken("}");else if("dimen"===t)e=this.scanDimen(),this.skipUntilToken("}");else if("skip"===t)e=this.scanSkip(),this.skipUntilToken("}");else if("colspec"===t)e=this.scanColspec(),this.skipUntilToken("}");else if("color"===t)e=this.scanColor()||"#ffffff",this.skipUntilToken("}");else if("delim"===t)e=this.scanDelim()||".",this.skipUntilToken("}");else do{this.mathList=this.mathList.concat(this.scanImplicitGroup())}while(!this.parseToken("}")&&!this.end());this.parseMode=s;const a=this.swapMathList(i);return e||a}scanToken(){const t=this.get();if(!t)return null;let e=null;if("space"===t.type)"text"===this.parseMode&&(e=new ve("text",""," 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i=this.parent();for(;s&&!i[s];)s=e[s];if(s)return void this.setSelection(0,0,s);if(this.parent().array){const t=We(this.parent().array);let e=parseInt(this.relation().match(/cell([0-9]*)$/)[1])+1;for(;e<t;){if($e(this.parent().array,e)&&this.setSelection(0,0,"cell"+e))return void this.selectionDidChange();e+=1}}if(1===this.path.length)(this.suppressChangeNotifications||!this.config.onMoveOutOf||this.config.onMoveOutOf(this,"forward"))&&(this.path[0].offset=0);else{const e=!t.iterateAll&&this.parent().skipBoundary;this.path.pop(),e&&this.next(t)}return void this.selectionDidChange()}this.setSelection(this.anchorOffset()+1);const s=this.anchor();if(s&&!s.captureSelection){let i;if(s.array){let t=0;i="";const e=We(s.array);for(;!i&&t<e;)$e(s.array,t)&&(i="cell"+t.toString()),t+=1;return this.path.push({relation:i,offset:0}),void this.setSelection(0,0,i)}for(i="body";i;){if(Array.isArray(s[i]))return 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1===this.path.length?(this.suppressChangeNotifications||!this.config.onMoveOutOf||this.config.onMoveOutOf.bind(this)(-1))&&(this.path[0].offset=this.root.body.length-1):(this.path.pop(),this.setSelection(this.anchorOffset()-1)),void this.selectionDidChange()}const s=this.anchor();if(!s.captureSelection){let t;if(s.array){t="";const e=We(s.array);let i=e-1;for(;!t&&i<e;)$e(s.array,i)&&(t="cell"+i.toString()),i-=1;return i+=1,this.path.push({relation:t,offset:$e(s.array,i).length-1}),void this.setSelection(-1,0,t)}for(t="superscript";t;){if(Array.isArray(s[t]))return this.path.push({relation:t,offset:s[t].length-1}),void this.setSelection(-1,0,t);t=e[t]}}this.setSelection(this.anchorOffset()-1),!t.iterateAll&&this.sibling(0)&&this.sibling(0).skipBoundary&&this.previous(t)},Re.prototype.move=function(t,e){const s=(e=e||{extend:!1}).extend||!1;if(this.removeSuggestion(),s)this.extend(t,e);else{const e=Oe(this);if(t>0)for(this.collapseForward()&&t--;t>0;)this.next(),t--;else if(t<0)for(this.collapseBackward()&&t++;0!==t;)this.previous(),t++;this._announce("move",e)}},Re.prototype.up=function(t){const e=(t=t||{extend:!1}).extend||!1;this.collapseBackward();const s=this.relation();if("denom"===s)e?(this.selectionWillChange(),this.path.pop(),this.path[this.path.length-1].offset-=1,this.setExtent(1),this.selectionDidChange()):this.setSelection(this.anchorOffset(),0,"numer"),this._announce("moveUp");else if(this.parent().array){let e=Ne(this.parent().array,s);(e=He(this.parent().array,e,-1))?(this.path[this.path.length-1].relation="cell"+Ke(this.parent().array,e),this.setSelection(this.anchorOffset()),this._announce("moveUp")):this.move(-1,t)}else this._announce("line")},Re.prototype.down=function(t){const e=(t=t||{extend:!1}).extend||!1;this.collapseForward();const s=this.relation();if("numer"===s)e?(this.selectionWillChange(),this.path.pop(),this.path[this.path.length-1].offset-=1,this.setExtent(1),this.selectionDidChange()):this.setSelection(this.anchorOffset(),0,"denom"),this._announce("moveDown");else if(this.parent().array){let e=Ne(this.parent().array,s);(e=He(this.parent().array,e,1))?(this.path[this.path.length-1].relation="cell"+Ke(this.parent().array,e),this.setSelection(this.anchorOffset()),this._announce("moveDown")):this.move(1,t)}else this._announce("line")},Re.prototype.extend=function(t){let e=this.path[this.path.length-1].offset,s=0;const i=Oe(this),a=e+(s=this.extent+t);if(a<0&&0!==s){if(this.path.length>1)return this.selectionWillChange(),this.path.pop(),this.setExtent(-1),this.selectionDidChange(),void this._announce("move",i);e=this.path[this.path.length-1].offset,s=this.extent}else if(a>=this.siblings().length){if(this.path.length>1)return this.selectionWillChange(),this.path.pop(),this.path[this.path.length-1].offset-=1,this.setExtent(1),this.selectionDidChange(),void this._announce("move",i);this.isCollapsed()&&(e-=1),s-=1}this.setSelection(e,s),this._announce("move",i)},Re.prototype.skip=function(t,e){const s=(e=e||{extend:!1}).extend||!1;t=t<0?-1:1;const i=Oe(this),a=this.siblings(),o=this.focusOffset();let n=o+t;if(s&&(n=Math.min(Math.max(0,n),a.length-1)),n<0||n>=a.length)this.move(t,e);else{if(a[n]&&"text"===a[n].mode){if((n=this.wordBoundaryOffset(n,t))<0&&!s)return void this.setSelection(0);if(n>a.length)return this.setSelection(a.length-1),void this.move(t,e)}else{const e=a[n]?a[n].type:"";if("mopen"===e&&t>0||"mclose"===e&&t<0){let s="mopen"===e?1:-1;for(n+=t>0?1:-1;n>=0&&n<a.length&&0!==s;)"mopen"===a[n].type?s+=1:"mclose"===a[n].type&&(s-=1),n+=t;0!==s&&(n=o+t),t>0&&(n-=1)}else{for(;a[n]&&"math"===a[n].mode&&a[n].type===e;)n+=t;n-=t>0?1:0}}if(s){const t=this.anchorOffset();this.setSelection(t,n-t)}else this.setSelection(n);this._announce("move",i)}},Re.prototype.jump=function(t,e){const s=(e=e||{extend:!1}).extend||!1;t=t<0?-1:1;const i=this.siblings();let a=this.focusOffset();t>0&&(a=Math.min(a+1,i.length-1));const o=t<0?0:i.length-1;s?this.extend(o-a):this.move(o-a)},Re.prototype.jumpToMathFieldBoundary=function(t,e){const s=(e=e||{extend:!1}).extend||!1;t=(t=t||1)<0?-1:1;const i=Oe(this),a=[{relation:"body",offset:this.path[0].offset}];let o;s?t<0?a[0].offset>0&&(o=-a[0].offset):a[0].offset<this.siblings().length-1&&(o=this.siblings().length-1-a[0].offset):(a[0].offset=t<0?0:this.root.body.length-1,o=0),this.setPath(a,o),this._announce("move",i)},Re.prototype.leap=function(t,e){t=(t=t||1)<0?-1:1,e=e||!0;const s=Oe(this);this.move(t),"placeholder"===this.anchor().type&&this.move(t);const i=this.filter((t,e)=>"placeholder"===e.type||t.length>1&&1===this.siblings().length,t);if(0===i.length){if(e)if(this.config.onTabOutOf)this.config.onTabOutOf(this.target,t>0?"forward":"backward");else if(document.activeElement){const e='a[href]:not([disabled]),\n                    button:not([disabled]),\n                    textarea:not([disabled]),\n                    input[type=text]:not([disabled]),\n                    select:not([disabled]),\n                    [contentEditable="true"],\n                    [tabindex]:not([disabled]):not([tabindex="-1"])',s=Array.prototype.filter.call(document.querySelectorAll(e),t=>(t.offsetWidth>0||t.offsetHeight>0)&&!t.contains(document.activeElement)||t===document.activeElement);let i=s.indexOf(document.activeElement)+t;i<0&&(i=s.length-1),i>=s.length&&(i=0),s[i].focus()}return!1}return this.setPath(i[0]),"placeholder"===this.anchor().type&&this.setExtent(-1),this._announce("move",s),!0},Re.prototype.anchorMode=function(){const t=this.isCollapsed()?this.anchor():this.sibling(1);let e;if(t){if("commandliteral"===t.type||"command"===t.type)return"command";e=t.mode}let s=1,i=this.ancestor(s);for(;!e&&i;)i&&(e=i.mode),s+=1,i=this.ancestor(s);return e},Re.prototype.anchorStyle=function(){const t=this.isCollapsed()?this.anchor():this.sibling(1);let e;if(t&&"first"!==t.type){if("commandliteral"===t.type||"command"===t.type)return{};e={color:t.color,backgroundColor:t.backgroundColor,fontFamily:t.fontFamily,fontShape:t.fontShape,fontSeries:t.fontSeries}}let s=1,i=this.ancestor(s);for(;!e&&i;)i&&(e={color:i.color,backgroundColor:i.backgroundColor,fontFamily:i.fontFamily,fontShape:i.fontShape,fontSeries:i.fontSeries}),s+=1,i=this.ancestor(s);return e},Re.prototype.simplifyParen=function(t){t&&this.config.removeExtraneousParentheses&&t.forEach(t=>{if("genfrac"===t.type&&(this.simplifyParen(t.numer),this.simplifyParen(t.denom),t.numer=je(t.numer),t.denom=je(t.denom)),t.superscript&&(this.simplifyParen(t.superscript),t.superscript=je(t.superscript)),t.subscript&&(this.simplifyParen(t.subscript),t.subscript=je(t.subscript)),t.underscript&&(this.simplifyParen(t.underscript),t.underscript=je(t.underscript)),t.overscript&&(this.simplifyParen(t.overscript),t.overscript=je(t.overscript)),t.index&&(this.simplifyParen(t.index),t.index=je(t.index)),"surd"===t.type?(this.simplifyParen(t.body),t.body=je(t.body)):t.body&&Array.isArray(t.body)&&this.simplifyParen(t.body),t.array)for(let e=We(t.array);e>=0;e--)this.simplifyParen($e(t.array,e))})},Re.prototype.insert=function(t,e){e=e||{};const s=this.suppressChangeNotifications;e.suppressChangeNotifications&&(this.suppressChangeNotifications=!0),this.contentWillChange();const i=this.suppressChangeNotifications;this.suppressChangeNotifications=!0,e.insertionMode||(e.insertionMode="replaceSelection"),e.selectionMode||(e.selectionMode="placeholder"),e.format||(e.format="auto"),e.macros=e.macros||this.config.macros;const a=e.mode||this.anchorMode();let o;const n=[this.getSelectedAtoms()];void 0!==e.placeholder&&(n["?"]=e.placeholder),"replaceSelection"!==e.insertionMode||this.isCollapsed()?"replaceAll"===e.insertionMode?(this.root.body.splice(1),this.path=[{relation:"body",offset:0}],this.extent=0):"insertBefore"===e.insertionMode?this.collapseBackward():"insertAfter"===e.insertionMode&&this.collapseForward():this.delete_();const r=this.siblings(),l=this.startOffset();if(l+1<r.length&&r[l+1]&&"placeholder"===r[l+1].type?this.delete_(1):l>0&&r[l]&&"placeholder"===r[l].type&&this.delete_(-1),"math"===a&&"ASCIIMath"===e.format)t=Ze(t,{...this.config,format:"ASCIIMath"}),o=Ce.parseTokens(x.tokenize(t),"math",null,e.macros,!1),this.simplifyParen(o);else if("text"!==a&&"auto"===e.format)if("command"===a){o=[];for(const e of t)Nt.COMMAND_MODE_CHARACTERS.test(e)&&o.push(new ge.MathAtom("command","command",e))}else""===t?o=[new ge.MathAtom("command","command","\\")]:(t=Ze(t,this.config),n[0]?t=t.replace(/(^|[^\\])#@/g,"$1#0"):/(^|[^\\])#@/.test(t)?(t=t.replace(/(^|[^\\])#@/g,"$1#0"),n[0]=this.extractArgBeforeInsertionPoint(),this._deleteAtoms(-n[0].length),Array.isArray(n[0])&&0===n[0].length&&(n[0]=void 0)):t=t.replace(/(^|[^\\])#@/g,"$1#?"),o=Ce.parseTokens(x.tokenize(t),a,n,e.macros,e.smartFence),this.simplifyParen(o));else"latex"===e.format?o=Ce.parseTokens(x.tokenize(t),a,n,e.macros,e.smartFence):"text"!==a&&"text"!==e.format||(t=(t=(t=(t=(t=(t=(t=(t=(t=(t=(t=t.replace(/\\/g,"\\textbackslash ")).replace(/#/g,"\\#")).replace(/\$/g,"\\$")).replace(/%/g,"\\%")).replace(/&/g,"\\&")).replace(/_/g,"\\_")).replace(/{/g,"\\textbraceleft ")).replace(/}/g,"\\textbraceright ")).replace(/\^/g,"\\textasciicircum ")).replace(/~/g,"\\textasciitilde ")).replace(/£/g,"\\textsterling "),o=Ce.parseTokens(x.tokenize(t),"text",n,e.macros,!1));if(function t(e,s){e&&s&&(Array.isArray(e)?e.forEach(e=>t(e,s)):"object"==typeof e&&(e.color||e.backgroundColor||e.fontFamily||e.fontShape||e.fontSeries||(e.applyStyle(s),t(e.body,s),t(e.numer,s),t(e.denom,s),t(e.index,s),t(e.overscript,s),t(e.underscript,s),t(e.subscript,s),t(e.superscript,s))))}(o,e.style),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset()+1,0].concat(o)),this.insertFirstAtom(),this.suppressChangeNotifications=i,"placeholder"===e.selectionMode){let t=[];for(const e of o)t=t.concat(e.filter(t=>"placeholder"===t.type));0!==t.length&&this.leap(1,!1)?this._announce("move"):this.setSelection(this.anchorOffset()+o.length)}else"before"===e.selectionMode||("after"===e.selectionMode?this.setSelection(this.anchorOffset()+o.length):"item"===e.selectionMode&&this.setSelection(this.anchorOffset(),o.length));this.contentDidChange(),this.suppressChangeNotifications=s},Re.prototype._insertSmartFence=function(t,e){if(!this.config.smartFence)return!1;const s=this.parent();if("leftright"===s.type&&"|"!==s.leftDelim&&/\||\\vert|\\Vert|\\mvert|\\mid/.test(t))return this.insert("\\,\\middle"+t+"\\, ",{mode:"math",format:"latex",style:e}),!0;"{"!==t&&"\\{"!==t||(t="\\lbrace"),"}"!==t&&"\\}"!==t||(t="\\rbrace"),"["!==t&&"\\["!==t||(t="\\lbrack"),"]"!==t&&"\\]"!==t||(t="\\rbrack");const i=Nt.RIGHT_DELIM[t];if(i&&("leftright"!==s.type||"|"!==s.leftDelim)){let s="";const a=this.isCollapsed()||"placeholder"===this.anchor().type;return s=this.sibling(0).isFunction?"\\mleft"+t+"\\mright":"\\left"+t+"\\right",s+=a?"?":i,this.insert(s,{mode:"math",format:"latex",style:e}),a&&this.move(-1),!0}let a;for(const e in Nt.RIGHT_DELIM)Nt.RIGHT_DELIM.hasOwnProperty(e)&&t===Nt.RIGHT_DELIM[e]&&(a=e);if(a){if(s&&"leftright"===s.type&&this.endOffset()===this.siblings().length-1)return this.contentWillChange(),s.rightDelim=t,this.move(1),this.contentDidChange(),!0;const i=this.siblings();let a;for(a=this.endOffset();a>=0&&("leftright"!==i[a].type||"?"!==i[a].rightDelim);a--);if(a>=0)return this.contentWillChange(),i[a].rightDelim=t,i[a].body=i[a].body.concat(i.slice(a+1,this.endOffset()+1)),i.splice(a+1,this.endOffset()-a),this.setSelection(a),this.contentDidChange(),!0;if(s&&"leftright"===s.type&&"?"===s.rightDelim){this.contentWillChange(),s.rightDelim=t;const e=i.slice(this.endOffset()+1);return i.splice(this.endOffset()+1),this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.endOffset()+1,0].concat(e)),this.contentDidChange(),!0}const o=this.ancestor(2);return o&&"leftright"===o.type&&"?"===o.rightDelim&&this.endOffset()===i.length-1?(this.move(1),this._insertSmartFence(t,e)):(this.insert(t,{mode:"math",format:"latex",style:e}),!0)}return!1},Re.prototype.positionInsertionPointAfterCommitedCommand=function(){const t=this.siblings(),e=this.commandOffsets();let s=e.start;for(;s<e.end&&!t[s].suggestion;)s++;this.setSelection(s-1)},Re.prototype.removeSuggestion=function(){const t=this.siblings();for(let e=t.length-1;e>=0;e--)t[e].suggestion&&t.splice(e,1)},Re.prototype.insertSuggestion=function(t,e){this.removeSuggestion();const s=[],i=t.substr(e);for(const t of i){const e=new ge.MathAtom("command","command",t);e.suggestion=!0,s.push(e)}Array.prototype.splice.apply(this.siblings(),[this.anchorOffset()+1,0].concat(s))},Re.prototype._deleteAtoms=function(t){t>0?this.siblings().splice(this.anchorOffset()+1,t):(this.siblings().splice(this.anchorOffset()+t+1,-t),this.setSelection(this.anchorOffset()+t))},Re.prototype.delete=function(t){if(0===(t=t||0))this.delete_(0);else if(t>0)for(;t>0;)this.delete_(1),t--;else for(;t<0;)this.delete_(-1),t++},Re.prototype.delete_=function(t){this.contentWillChange();const e=this.suppressChangeNotifications;if(this.suppressChangeNotifications=!0,t=(t=t||0)<0?-1:t>0?1:t,this.removeSuggestion(),this.parent().array&&t<0&&0===this.startOffset()){const t=this.parent().array;if(function(t){const e={col:0,row:0};for(;e.row<t.length&&!$e(t,e);)e.row+=1;return $e(t,e)?"cell"+Ke(t,e):""}(t)===this.relation()){const e=function(t,e,s){e||(e=[";",","]);let i,a=[];for(const o of t)i?a.push(i):i=new ge.MathAtom("math","mpunct",e[0],s),a=a.concat(Ve(o,e[1]));return a}(t);this.path.pop(),this.siblings().splice(this.anchorOffset(),1,...e),this.setSelection(this.anchorOffset()-1,e.length)}else{const e=Ne(t,this.relation());if(0===e.col){const s=He(t,e,-1);s.col=t[s.row].length-1,this.path[this.path.length-1].relation="cell"+Ke(t,s);const i=t[s.row][s.col].length,a=Ve(t[e.row]);t[s.row][s.col]=t[s.row][s.col].concat(a),this.setSelection(i-1,a.length),function(t,e){t.splice(e,1)}(t,e.row)}else if(0===function(t,e){let s=0;const i={col:e,row:0};for(;i.row<t.length;){const e=$e(t,i);if(e&&e.length>0){let t=e.length;"first"===e[0].type&&(t-=1),t>0&&(s+=1)}i.row+=1}return s}(t,e.col)){!function(t,e){let s=0;for(;s<t.length;)t[s][e]&&t[s].splice(e,1),s+=1}(t,e.col),e.col-=1,this.path[this.path.length-1].relation="cell"+Ke(t,e);const s=t[e.row][e.col];this.setSelection(s.length-1,0)}}return this.suppressChangeNotifications=e,void this.contentDidChange()}const s=this.siblings();if(this.isCollapsed()){const e=this.anchorOffset();if(t<0)if(0!==e){const t=this.sibling(0);"leftright"===t.type?(t.rightDelim="?",this.move(-1)):!t.captureSelection&&/^(group|array|genfrac|surd|leftright|overlap|overunder|box|mathstyle|sizing)$/.test(t.type)?this.move(-1):(this._announce("delete",null,s.slice(e,e+1)),s.splice(e,1),this.setSelection(e-1))}else{const t=this.relation();if("superscript"===t||"subscript"===t){const e=this.parent()[t].filter(t=>"placeholder"!==t.type&&"first"!==t.type);this.parent()[t]=null,this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),0].concat(e)),this.setSelection(this.anchorOffset()-1),this._announce("deleted: "+t)}else if("denom"===t){const t=this.parent().numer.filter(t=>"placeholder"!==t.type&&"first"!==t.type),e=this.parent().denom.filter(t=>"placeholder"!==t.type&&"first"!==t.type);this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),1].concat(e)),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),0].concat(t)),this.setSelection(this.anchorOffset()+t.length-1),this._announce("deleted: denominator")}else if("body"===t){const t=this.siblings().filter(t=>"placeholder"!==t.type);this.path.length>1&&(t.shift(),this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),1].concat(t)),this.setSelection(this.anchorOffset()-1),this._announce("deleted: root"))}else this.move(-1),this.delete(-1)}else if(t>0)if(e!==s.length-1)/^(group|array|genfrac|surd|leftright|overlap|overunder|box|mathstyle|sizing)$/.test(this.sibling(1).type)?this.move(1):(this._announce("delete",null,s.slice(e+1,e+2)),s.splice(e+1,1));else{if("numer"===this.relation()){const t=this.parent().numer.filter(t=>"placeholder"!==t.type&&"first"!==t.type),e=this.parent().denom.filter(t=>"placeholder"!==t.type&&"first"!==t.type);this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),1].concat(e)),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),0].concat(t)),this.setSelection(this.anchorOffset()+t.length-1),this._announce("deleted: numerator")}else this.move(1),this.delete(1)}}else{const 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is"},{latex:"\\nexists",aside:"there isn’t"},{latex:"\\ni",aside:"such that"},{latex:"\\Colon",aside:"such that"},{latex:"\\implies",aside:"implies"},{latex:"\\impliedby",aside:"implied by"},{latex:"\\iff",aside:"if and only if"},{latex:"\\land",aside:"and"},{latex:"\\lor",aside:"or"},{latex:"\\oplus",aside:"xor"},{latex:"\\lnot",aside:"not"},{latex:"\\downarrow",aside:"nor"},{latex:"\\uparrow",aside:"nand"},{latex:"\\curlywedge",aside:"nor"},{latex:"\\bar\\curlywedge",aside:"nand"},{latex:"\\therefore",aside:"therefore"},{latex:"\\because",aside:"because"},{latex:"^\\biconditional",aside:"biconditional"},"\\leftrightarrow","\\Leftrightarrow","\\to","\\models","\\vdash","\\gets","\\dashv","\\roundimplies"],"set-operators":["\\cap","\\cup","\\setminus","\\smallsetminus","\\complement"],"set-relations":["\\in","\\notin","\\ni","\\owns","\\subset","\\supset","\\subseteq","\\supseteq","\\subsetneq","\\supsetneq","\\varsubsetneq","\\subsetneqq","\\nsubset","\\nsupset","\\nsubseteq","\\nsupseteq"],space:[{latex:'\\char"203A\\!\\char"2039',insert:"\\!",aside:"negative thin space<br>⁻³⧸₁₈ em"},{latex:'\\unicode{"203A}\\,\\unicode{"2039}',insert:"\\,",aside:"thin space<br>³⧸₁₈ em"},{latex:'\\unicode{"203A}\\:\\unicode{"2039}',insert:"\\:",aside:"medium space<br>⁴⧸₁₈ em"},{latex:'\\unicode{"203A}\\;\\unicode{"2039}',insert:"\\;",aside:"thick space<br>⁵⧸₁₈ em"},{latex:'\\unicode{"203A}\\ \\unicode{"2039}',insert:"\\ ",aside:"⅓ em"},{latex:'\\unicode{"203A}\\enspace\\unicode{"2039}',insert:"\\enspace",aside:"½ em"},{latex:'\\unicode{"203A}\\quad\\unicode{"2039}',insert:"\\quad",aside:"1 em"},{latex:'\\unicode{"203A}\\qquad\\unicode{"2039}',insert:"\\qquad",aside:"2 em"}],delete:[{label:'<span class="warning"><svg><use xlink:href="#svg-trash" /></svg></span>',command:'"deleteAll"'}],"->|":[]};let bs={};const xs={math:"\n        <div class='rows'>\n            <ul>\n                <li class='keycap tex' data-alt-keys='x-var'><i>x</i></li>\n                <li class='keycap tex' data-alt-keys='n-var'><i>n</i></li>\n                <li class='separator w5'></li>\n                <row name='numpad-1'/>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-key='ee' data-alt-keys='ee'>e</li>\n                <li class='keycap tex' data-key='ii' data-alt-keys='ii'>i</li>\n                <li class='keycap tex' data-latex='\\pi' data-alt-keys='numeric-pi'></li>\n            </ul>\n            <ul>\n                <li class='keycap tex' data-key='<' data-alt-keys='<'>&lt;</li>\n                <li class='keycap tex' data-key='>' data-alt-keys='>'>&gt;</li>\n                <li class='separator w5'></li>\n                <row name='numpad-2'/>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-alt-keys='x2' data-insert='#@^{2}'><span><i>x</i>&thinsp;²</span></li>\n                <li class='keycap tex' data-alt-keys='^' data-insert='#@^{#?}'><span><i>x</i><sup>&thinsp;<small>&#x2b1a;</small></sup></span></li>\n                <li class='keycap tex' data-alt-keys='sqrt' data-insert='\\sqrt{#0}' data-latex='\\sqrt{#0}'></li>\n            </ul>\n            <ul>\n                <li class='keycap tex' data-alt-keys='(' >(</li>\n                <li class='keycap tex' data-alt-keys=')' >)</li>\n                <li class='separator w5'></li>\n                <row name='numpad-3'/>\n                <li class='separator w5'></li>\n                <li class='keycap tex small' data-alt-keys='int' data-latex='\\int_0^\\infty'><span></span></li>\n                <li class='keycap tex' data-latex='\\forall' data-alt-keys='logic' ></li>\n                <li class='action font-glyph bottom right' data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'>&#x232b;</li></ul>\n            </ul>\n            <ul>\n                <li class='keycap' data-alt-keys='foreground-color' data-command='[\"applyStyle\",{\"color\":\"#cc2428\"}]'><span style='border-radius: 50%;width:22px;height:22px; border: 3px solid #cc2428; box-sizing: border-box'></span></li>\n                <li class='keycap' data-alt-keys='background-color' data-command='[\"applyStyle\",{\"backgroundColor\":\"#fff590\"}]'><span style='border-radius: 50%;width:22px;height:22px; background:#fff590; box-sizing: border-box'></span></li>\n                <li class='separator w5'></li>\n                <row name='numpad-4'/>\n                <li class='separator w5'></li>\n                <arrows/>\n            </ul>\n        </div>\n    ","lower-roman":"\n        <div class='rows'>\n            <ul>\n                <row name='numpad-1' class='if-wide'/>\n                <row name='lower-1' shift-layer='upper-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-2' class='if-wide'/>\n                <row name='lower-2'  shift-layer='upper-roman''/>\n            </ul>\n            <ul>\n                <row name='numpad-3' class='if-wide'/>\n                <row name='lower-3'  shift-layer='upper-roman''/>\n            </ul>\n            <ul>\n                <row name='numpad-4' class='if-wide'/>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='symbols'>&infin;≠</li>\n                <li class='keycap' data-alt-keys=','>,</li>\n                <li class='keycap w50' data-key=' ' data-alt-keys='space'>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","upper-roman":"\n        <div class='rows'>\n            <ul>\n                <row name='numpad-1' class='if-wide'/>\n                <row name='upper-1'  shift-layer='lower-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-2' class='if-wide'/>\n                <row name='upper-2' shift-layer='lower-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-3' class='if-wide'/>\n                <row name='upper-3' shift-layer='lower-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-4' class='if-wide'/>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='symbols'>&infin;≠</li>\n                <li class='keycap' data-alt-keys='.'>;</li>\n                <li class='keycap w50' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>",symbols:"\n        <div class='rows'>\n            <ul>\n                <row name='numpad-1' class='if-wide'/>\n                <li class='keycap tex' data-alt-keys='(' data-insert='\\lbrace '>{</li>\n                <li class='keycap tex' data-alt-keys=')' data-insert='\\rbrace '>}</li>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-alt-keys='set' data-insert='\\in '>&#x2208;</li>\n                <li class='keycap tex' data-alt-keys='!set' data-insert='\\notin '>&#x2209;</li>\n                <li class='keycap tex' data-insert='\\Re '>&#x211c;<aside>Real</aside></li>\n                <li class='keycap tex' data-insert='\\Im '>&#x2111;<aside>Imaginary</aside></li>\n                <li class='keycap w15' data-insert='\\ulcorner#0\\urcorner '><span><sup>&#x250c;</sup><span><span style='color:#ddd'>o</span><sup>&#x2510;</sup></span><aside>ceil</aside></li>\n                <li class='keycap tex' data-alt-keys='nabla' data-insert='\\nabla '>&#x2207;<aside>nabla</aside></li>\n                <li class='keycap tex' data-alt-keys='infinity' data-insert='\\infty '>&#x221e;</li>\n\n            </ul>\n            <ul>\n                <row name='numpad-2' class='if-wide'/>\n                <li class='keycap tex' data-alt-keys='(' data-insert='\\lbrack '>[</li>\n                <li class='keycap tex' data-alt-keys=')' data-insert='\\rbrack '>]</li>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-alt-keys='subset' data-insert='\\subset '>&#x2282;</li>\n                <li class='keycap tex' data-alt-keys='supset' data-insert='\\supset '>&#x2283;</li>\n                <li class='keycap tex' data-key='!' data-alt-keys='!'>!<aside>factorial</aside></li>\n                <li class='keycap' data-insert='^{\\prime} '><span><sup><span><span style='color:#ddd'>o</span>&#x2032</sup></span><aside>prime</aside></li>\n                <li class='keycap w15' data-insert='\\llcorner#0\\lrcorner '><span><sub>&#x2514;</sub><span style='color:#ddd'>o</span><sub>&#x2518;</sub></span><aside>floor</aside></li>\n                <li class='keycap tex' data-insert='\\partial '>&#x2202;<aside>partial<br>derivative</aside></li>\n                <li class='keycap tex' data-insert='\\emptyset '>&#x2205;<aside>empty set</aside></li>\n\n            </ul>\n            <ul>\n                <row name='numpad-3' class='if-wide'/>\n                <li class='keycap tex' data-alt-keys='(' data-insert='\\langle '>&#x27e8;</li>\n                <li class='keycap tex' data-alt-keys=')' data-insert='\\rangle '>&#x27e9;</li>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-insert='\\subseteq '>&#x2286;</li>\n                <li class='keycap tex' data-insert='\\supseteq '>&#x2287;</li>\n                <li class='keycap tex' data-alt-keys='accents' data-insert='\\vec{#@}' data-latex='\\vec{#?}' data-aside='vector'></li>\n                <li class='keycap tex' data-alt-keys='accents' data-insert='\\bar{#@}' data-latex='\\bar{#?}' data-aside='bar'></li>\n                <li class='keycap tex' data-alt-keys='absnorm' data-insert='\\lvert #@ \\rvert ' data-latex='\\lvert #? \\rvert' data-aside='abs'></li>\n                <li class='keycap tex' data-insert='\\ast '>&#x2217;<aside>asterisk</aside></li>\n\n                <li class='action font-glyph bottom right w15'\n                    data-shifted='<span class=\"warning\"><svg><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'\n                >&#x232b;</li>\n            </ul>\n            <ul>\n                <row name='numpad-4' class='if-wide'/>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='lower-roman'>abc</li>\n                <li class='keycap tex' data-insert='\\cdot '>&#x22c5;<aside>centered dot</aside></li>\n                <li class='keycap tex' data-insert='\\colon '>:<aside>colon</aside></li>\n                <li class='keycap tex' data-insert='\\circ '>&#x2218;<aside>circle</aside></li>\n                <li class='keycap tex' data-insert='\\approx '>&#x2248;<aside>approx.</aside></li>\n                <li class='keycap tex' data-insert='\\ne '>&#x2260;</li>\n                <li class='keycap tex' data-insert='\\pm '>&#x00b1;</li>\n                <arrows/>\n            </ul>\n        </div>","lower-greek":"\n        <div class='rows'>\n            <ul><li class='keycap tex' data-insert='\\varphi '><i>&#x03c6;</i><aside>phi var.</aside></li>\n                <li class='keycap tex' data-insert='\\varsigma '><i>&#x03c2;</i><aside>sigma var.</aside></li>\n                <li class='keycap tex' data-insert='\\epsilon '><i>&#x03f5;</i></li>\n                <li class='keycap tex' data-insert='\\rho '><i>&rho;</i></li>\n                <li class='keycap tex' data-insert='\\tau '><i>&tau;</i></li>\n                <li class='keycap tex' data-insert='\\upsilon '><i>&upsilon;</i></li>\n                <li class='keycap tex' data-insert='\\theta '><i>&theta;</i></li>\n                <li class='keycap tex' data-insert='\\iota '><i>&iota;</i></li>\n                <li class='keycap tex' data-insert='\\omicron '>&omicron;</i></li>\n                <li class='keycap tex' data-insert='\\pi '><i>&pi;</i></li>\n            </ul>\n            <ul><li class='keycap tex' data-insert='\\alpha ' data-shifted='&Alpha;' data-shifted-command='[\"insert\",\"{\\\\char\\\"391}\"]'><i>&alpha;</i></li>\n                <li class='keycap tex' data-insert='\\sigma '><i>&sigma;</i></li>\n                <li class='keycap tex' data-insert='\\delta '><i>&delta;</i></li>\n                <li class='keycap tex' data-insert='\\phi '><i>&#x03d5;</i></i></li>\n                <li class='keycap tex' data-insert='\\gamma '><i>&gamma;</i></li>\n                <li class='keycap tex' data-insert='\\eta '><i>&eta;</i></li>\n                <li class='keycap tex' data-insert='\\xi '><i>&xi;</i></li>\n                <li class='keycap tex' data-insert='\\kappa '><i>&kappa;</i></li>\n                <li class='keycap tex' data-insert='\\lambda '><i>&lambda;</i></li>\n            </ul>\n            <ul><li class='shift modifier font-glyph bottom left w15 layer-switch' data-layer='upper-greek'>&#x21e7;</li>\n                <li class='keycap tex' data-insert='\\zeta '><i>&zeta;</i></li>\n                <li class='keycap tex' data-insert='\\chi '><i>&chi;</i></li>\n                <li class='keycap tex' data-insert='\\psi '><i>&psi;</i></li>\n                <li class='keycap tex' data-insert='\\omega '><i>&omega;</i></li>\n                <li class='keycap tex' data-insert='\\beta '><i>&beta;</i></li>\n                <li class='keycap tex' data-insert='\\nu '><i>&nu;</i></li>\n                <li class='keycap tex' data-insert='\\mu '><i>&mu;</i></li>\n                <li class='action font-glyph bottom right w15'\n                    data-shifted='<span class=\"warning\"><svg><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'\n                >&#x232b;</li>\n            </ul>\n            <ul>\n                <li class='keycap ' data-key=' '>&nbsp;</li>\n                <li class='keycap'>,</li>\n                <li class='keycap tex' data-insert='\\varepsilon '><i>&#x03b5;</i><aside>epsilon var.</aside></li>\n                <li class='keycap tex' data-insert='\\vartheta '><i>&#x03d1;</i><aside>theta var.</aside></li>\n                <li class='keycap tex' data-insert='\\varkappa '><i>&#x3f0;</i><aside>kappa var.</aside></li>\n                <li class='keycap tex' data-insert='\\varpi '><i>&#x03d6;<aside>pi var.</aside></i></li>\n                <li class='keycap tex' data-insert='\\varrho '><i>&#x03f1;</i><aside>rho var.</aside></li>\n                <arrows/>\n            </ul>\n        </div>","upper-greek":"\n        <div class='rows'>\n            <ul><li class='keycap tex' data-insert='\\Phi '>&Phi;<aside>phi</aside></li>\n                <li class='keycap tex' data-insert='\\Sigma '>&Sigma;<aside>sigma</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"0190}'>&#x0190;<aside>epsilon</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"3A1}'>&#x3A1;<aside>rho</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"3A4}'>&#x3A4;<aside>tau</aside></li>\n                <li class='keycap tex' data-insert='\\Upsilon '>&Upsilon;<aside>upsilon</aside></li>\n                <li class='keycap tex' data-insert='\\Theta '>&Theta;<aside>theta</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"399}'>&Iota;<aside>iota</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"39F}'>&#x039F;<aside>omicron</aside></li>\n                <li class='keycap tex' data-insert='\\Pi '>&Pi;<aside>pi</aside></li></ul>\n            <ul><li class='keycap tex' data-insert='{\\char\"391}'>&#x391;<aside>alpha</aside></li>\n                <li class='keycap tex' data-insert='\\Sigma '>&Sigma;<aside>sigma</aside></li>\n                <li class='keycap tex' data-insert='\\Delta '>&Delta;<aside>delta</aside></li>\n                <li class='keycap tex' data-insert='\\Phi '>&#x03a6;<aside>phi</aside></li>\n                <li class='keycap tex' data-insert='\\Gamma '>&Gamma;<aside>gamma</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"397}'>&Eta;<aside>eta</aside></li>\n                <li class='keycap tex' data-insert='\\Xi '>&Xi;<aside>xi</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"39A}'>&Kappa;<aside>kappa</aside></li>\n                <li class='keycap tex' data-insert='\\Lambda '>&Lambda;<aside>lambda</aside></li></ul>\n            <ul><li class='shift modifier font-glyph bottom left selected w15 layer-switch' data-layer='lower-greek'>&#x21e7;</li>\n                <li class='keycap tex' data-insert='{\\char\"396}'>&Zeta;<aside>zeta</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"3A7}'>&Chi;<aside>chi</aside></li>\n                <li class='keycap tex' data-insert='\\Psi '>&Psi;<aside>psi</aside></li>\n                <li class='keycap tex' data-insert='\\Omega '>&Omega;<aside>omega</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"392}'>&Beta;<aside>beta</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"39D}'>&Nu;<aside>nu</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"39C}'>&Mu;<aside>mu</aside></li>\n                <li class='action font-glyph bottom right w15' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'>&#x232b;</li></ul>\n            <ul>\n                <li class='separator w10'>&nbsp;</li>\n                <li class='keycap'>.</li>\n                <li class='keycap w50' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","lower-command":"\n        <div class='rows'>\n            <ul><row name='lower-1' class='tt' shift-layer='upper-command'/></ul>\n            <ul><row name='lower-2' class='tt' shift-layer='upper-command'/></ul>\n            <ul><row name='lower-3' class='tt' shift-layer='upper-command'/></ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='symbols-command'>01#</li>\n                <li class='keycap tt' data-shifted='[' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \"[\"]'>{</li>\n                <li class='keycap tt' data-shifted=']' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \"]\"]'>}</li>\n                <li class='keycap tt' data-shifted='(' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \"(\"]'>^</li>\n                <li class='keycap tt' data-shifted=')' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \")\"]'>_</li>\n                <li class='keycap w20' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","upper-command":"\n        <div class='rows'>\n            <ul><row name='upper-1' class='tt' shift-layer='lower-command'/></ul>\n            <ul><row name='upper-2' class='tt' shift-layer='lower-command'/></ul>\n            <ul><row name='upper-3' class='tt' shift-layer='lower-command'/></ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='symbols-command'01#</li>\n                <li class='keycap tt'>[</li>\n                <li class='keycap tt'>]</li>\n                <li class='keycap tt'>(</li>\n                <li class='keycap tt'>)</li>\n                <li class='keycap w20' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","symbols-command":"\n        <div class='rows'>\n            <ul><li class='keycap tt'>1</li><li class='keycap tt'>2</li><li class='keycap tt'>3</li><li class='keycap tt'>4</li><li class='keycap tt'>5</li><li class='keycap tt'>6</li><li class='keycap tt'>7</li><li class='keycap tt'>8</li><li class='keycap tt'>9</li><li class='keycap tt'>0</li></ul>\n            <ul><li class='keycap tt'>!</li><li class='keycap tt'>@</li><li class='keycap tt'>#</li><li class='keycap tt'>$</li><li class='keycap tt'>%</li><li class='keycap tt'>^</li><li class='keycap tt'>&</li><li class='keycap tt'>*</li><li class='keycap tt'>+</li><li class='keycap tt'>=</li></ul>\n            <ul>\n                <li class='keycap tt'>\\</li>\n                <li class='keycap tt'>|</li>\n                <li class='keycap tt'>/</li>\n                <li class='keycap tt'>`</li>\n                <li class='keycap tt'>;</li>\n                <li class='keycap tt'>:</li>\n                <li class='keycap tt'>?</li>\n                <li class='keycap tt'>'</li>\n                <li class='keycap tt'>\"</li>\n                <li class='action font-glyph bottom right'\n                    data-shifted='<span class=\"warning\"><svg><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'\n                >&#x232b;</li>\n            </ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='lower-command'>abc</li>\n                <li class='keycap tt'>&lt;</li>\n                <li class='keycap tt'>&gt;</li>\n                <li class='keycap tt'>~</li>\n                <li class='keycap tt'>,</li>\n                <li class='keycap tt'>.</li>\n                <li class='keycap' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>",functions:"\n        <div class='rows'>\n            <ul><li class='separator'></li>\n                <li class='fnbutton' data-insert='\\sin'></li>\n                <li class='fnbutton' data-insert='\\sin^{-1}'></li>\n                <li class='fnbutton' data-insert='\\ln'></li>\n                <li class='fnbutton' data-insert='\\exponentialE^{#?}'></li>\n                <li class='bigfnbutton' data-insert='\\operatorname{lcm}(#?)' data-latex='\\operatorname{lcm}()'></li>\n                <li class='bigfnbutton' data-insert='\\operatorname{ceil}(#?)' data-latex='\\operatorname{ceil}()'></li>\n                <li class='bigfnbutton' 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time="150ms"/>'+o+'.<break time="150ms"/> End fraction.<break time="150ms"/>';break;case"surd":if(n=ge.toSpeakableFragment(t.body,e),t.index){let s=ge.toSpeakableFragment(t.index,e);const a=(s=s.trim()).replace(/<mark([^\/]*)\/>/g,"");i+="3"===a?' the cube root of <break time="200ms"/>'+n+'. <break time="200ms"/> End cube root':"n"===a?' the nth root of <break time="200ms"/>'+n+'. <break time="200ms"/> End root':' the root with index: <break time="200ms"/>'+s+', of <break time="200ms"/>'+n+'. <break time="200ms"/> End root'}else vi(t.body)?i+=" the square root of "+n+" , ":i+=' the square root of <break time="200ms"/>'+n+'. <break time="200ms"/> End square root';break;case"accent":break;case"leftright":i+=ki[t.leftDelim]||t.leftDelim,i+=ge.toSpeakableFragment(t.body,e),i+=ki[t.rightDelim]||t.rightDelim;break;case"line":case"rule":case"overunder":case"overlap":break;case"placeholder":i+="placeholder "+t.body;break;case"delim":case"sizeddelim":case"mord":case"minner":case"mbin":case"mrel":case"mpunct":case"mopen":case"mclose":case"textord":{const s=t.latex?t.latex.trim():"";if("\\mathbin"===s||"\\mathrel"===s||"\\mathopen"===s||"\\mathclose"===s||"\\mathpunct"===s||"\\mathord"===s||"\\mathinner"===s){i=ge.toSpeakableFragment(t.body,e);break}let a=t.body,o=t.latex;if("delim"!==t.type&&"sizeddelim"!==t.type||(a=o=t.delim),"text"===e.speechMode)i+=a;else{if("mbin"===t.type&&(i+='<break time="150ms"/>'),a){const t=ki[a]||(o?ki[o.trim()]:"");if(t)i+=" "+t;else{const t=o?function(t){let e=ds.NOTES[t];return e||"\\"!==t.charAt(0)||(e=" "+t.replace("\\","")+" "),Array.isArray(e)&&(e=e[0]),e}(o.trim()):"";i+=t||function(t){let s="";return e.textToSpeechMarkup?/[a-z]/.test(t)?s+=' <say-as interpret-as="character">'+t+"</say-as>":/[A-Z]/.test(t)?s+="capital "+t.toLowerCase():s+=t:/[a-z]/.test(t)?s+=" '"+t.toUpperCase()+"'":/[A-Z]/.test(t)?s+=" 'capital "+t.toUpperCase()+"'":s+=t,s}(a)}}else i+=ge.toSpeakableFragment(t.body,e);"mbin"===t.type&&(i+='<break time="150ms"/>')}break}case"mop":if("​"!==t.body){const a=t.latex?t.latex.trim():"";if("\\sum"===a)if(t.superscript&&t.subscript){let s=ge.toSpeakableFragment(t.superscript,e);s=s.trim();let a=ge.toSpeakableFragment(t.subscript,e);i+=' the summation from <break time="200ms"/>'+(a=a.trim())+'<break time="200ms"/> to  <break time="200ms"/>'+s+'<break time="200ms"/> of <break time="150ms"/>',r=!0}else if(t.subscript){let s=ge.toSpeakableFragment(t.subscript,e);i+=' the summation from <break time="200ms"/>'+(s=s.trim())+'<break time="200ms"/> of <break time="150ms"/>',r=!0}else i+=" the summation of";else if("\\prod"===a)if(t.superscript&&t.subscript){let s=ge.toSpeakableFragment(t.superscript,e);s=s.trim();let a=ge.toSpeakableFragment(t.subscript,e);i+=' the product from <break time="200ms"/>'+(a=a.trim())+'<break time="200ms"/> to <break time="200ms"/>'+s+'<break time="200ms"/> of <break time="150ms"/>',r=!0}else if(t.subscript){let s=ge.toSpeakableFragment(t.subscript,e);i+=' the product from <break time="200ms"/>'+(s=s.trim())+'<break time="200ms"/> of <break time="150ms"/>',r=!0}else i+=" the product  of ";else if("\\int"===a)if(t.superscript&&t.subscript){let a=ge.toSpeakableFragment(t.superscript,e);a=a.trim();let o=ge.toSpeakableFragment(t.subscript,e);i+=' the integral from <break time="200ms"/>'+s(o=o.trim())+'<break time="200ms"/> to <break time="200ms"/>'+s(a)+' <break time="200ms"/> of ',r=!0}else i+=' the integral of <break time="200ms"/> ';else if("string"==typeof t.body){const e=ki[t.body]||ki[t.latex.trim()];i+=e||" "+t.body}else t.latex&&t.latex.length>0&&("\\"===t.latex[0]?i+=" "+t.latex.substr(1):i+=" "+t.latex)}break;case"enclose":n=ge.toSpeakableFragment(t.body,e),vi(t.body)?i+=" crossed out "+n+" , ":i+=" crossed out "+n+". End cross out"}if(!r&&t.superscript){let s=ge.toSpeakableFragment(t.superscript,e);const a=(s=s.trim()).replace(/<[^>]*>/g,"");if(vi(t.superscript)){if("math"===e.speechMode){const e=function(t){if(t&&Array.isArray(t))for(const e of t)if("first"!==e.type&&e.id)return e.id.toString();return""}(t.superscript);e&&(i+='<mark name="'+e+'"/>')}"′"===a?i+=" prime ":"2"===a?i+=" squared ":"3"===a?i+=" cubed ":isNaN(parseInt(a))?i+=" to the "+s+"; ":i+=' to the <say-as interpret-as="ordinal">'+a+"</say-as> power; "}else isNaN(parseInt(a))?i+=" raised to the "+s+"; ":i+=' raised to the <say-as interpret-as="ordinal">'+a+"</say-as> power; "}if(!r&&t.subscript){let s=ge.toSpeakableFragment(t.subscript,e);s=s.trim(),vi(t.subscript)?i+=" sub "+s:i+=" subscript "+s+". End subscript. "}}return i},ge.toSpeakableText=function(t,e){if(e||(e={textToSpeechMarkup:"",textToSpeechRules:"mathlive"}),e.speechMode="math",window.sre&&"sre"===e.textToSpeechRules){e.generateID=!0;const s=ge.toMathML(t,e);return s?(e.textToSpeechMarkup&&(e.textToSpeechRulesOptions=e.textToSpeechRulesOptions||{},e.textToSpeechRulesOptions.markup=e.textToSpeechMarkup,"ssml"===e.textToSpeechRulesOptions.markup&&(e.textToSpeechRulesOptions.markup="ssml_step"),e.textToSpeechRulesOptions.rate=e.speechEngineRate),e.textToSpeechRulesOptions&&window.sre.System.getInstance().setupEngine(e.textToSpeechRulesOptions),window.sre.System.getInstance().toSpeech(s)):""}let s=ge.toSpeakableFragment(t,e);if("ssml"===e.textToSpeechMarkup){let t="";e.speechEngineRate&&(t='<prosody rate="'+e.speechEngineRate+'">'),s='<?xml version="1.0"?><speak version="1.1" xmlns="http://www.w3.org/2001/10/synthesis" xml:lang="en-US"><amazon:auto-breaths>'+t+"<p><s>"+s+"</s></p>"+(t?"</prosody>":"")+"</amazon:auto-breaths></speak>"}else s="mac"===e.textToSpeechMarkup&&"mac"===function(t){let e="other";return navigator&&navigator.platform&&navigator.userAgent&&(/^(mac)/i.test(navigator.platform)?e="mac":/^(win)/i.test(navigator.platform)?e="win":/(android)/i.test(navigator.userAgent)?e="android":/(iphone)/i.test(navigator.userAgent)||/(ipod)/i.test(navigator.userAgent)||/(ipad)/i.test(navigator.userAgent)?e="ios":/\bCrOS\b/i.test(navigator.userAgent)&&(e="chromeos")),e===t?t:"!"+t}("mac")?s.replace(/<mark([^\/]*)\/>/g,"").replace(/<emphasis>/g,"[[emph+]]").replace(/<\/emphasis>/g,"").replace(/<break time="([0-9]*)ms"\/>/g,"[[slc $1]]").replace(/<say-as[^>]*>/g,"").replace(/<\/say-as>/g,""):s.replace(/<[^>]*>/g,"").replace(/\s{2,}/g," ");return s},_i.prototype.handleEvent=function(t){switch(t.type){case"focus":this._onFocus(t);break;case"blur":this._onBlur(t);break;case"touchstart":case"mousedown":this._onPointerDown(t);break;case"resize":this._resizeTimer&&window.cancelAnimationFrame(this._resizeTimer),this._resizeTimer=window.requestAnimationFrame(()=>this._onResize());break;case"cut":this._onCut(t);break;case"copy":this._onCopy(t);break;case"paste":this._onPaste(t)}},_i.prototype.revertToOriginalContent=_i.prototype.$revertToOriginalContent=function(){this.element.innerHTML=this.originalContent,this.element.mathfield=null,delete this.accessibleNode,delete this.ariaLiveText,delete this.field,Ai(this.textarea,"cut",this),Ai(this.textarea,"copy",this),Ai(this.textarea,"paste",this),this.textarea.remove(),delete this.textarea,this.virtualKeyboardToggleDOMNode.remove(),delete this.virtualKeyboardToggleDOMNode,Ci(this.popover),Ci(this.keystrokeCaption),Ci(this.virtualKeyboard),Ci(document.getElementById("mathlive-alternate-keys-panel")),Ai(this.element,"touchstart:active mousedown",this),Ai(this.element,"focus",this),Ai(this.element,"blur",this),Ai(window,"resize",this),Ai(window,"focus",this),Ai(window,"blur",this)},_i.prototype._resetKeystrokeBuffer=function(){this.keystrokeBuffer="",this.keystrokeBufferStates=[],clearTimeout(this.keystrokeBufferResetTimer)},_i.prototype._getCaretPosition=function(){const t=function t(e){if(e.classList.contains("ML__caret")||e.classList.contains("ML__text-caret")||e.classList.contains("ML__command-caret"))return e;let s;return Array.from(e.children).forEach(function(e){s=s||t(e)}),s}(this.field);if(t){const e=t.getBoundingClientRect();return{x:e.right+window.scrollX,y:e.bottom+window.scrollY}}return null},_i.prototype._pathFromPoint=function(t,e,s){let i;(s=s||{}).bias=s.bias||0;const a=function t(e,s,i){let a={element:null},o=!0;if(e.getAttribute("data-atom-id")){a.element=e;const t=e.getBoundingClientRect(),n=Math.max(t.left-s,s-t.right),r=Math.max(t.top-i,i-t.bottom);a.distance=n*n+r*r,o=s>=t.left&&s<=t.right}else a.distance=Number.POSITIVE_INFINITY;return o&&e.children&&Array.from(e.children).forEach(function(e){const o=t(e,s,i);o.element&&o.distance<=a.distance&&(a=o)}),a}(this.field,t,e).element,o=a?a.getAttribute("data-atom-id"):null;if(o){const e=this.mathlist.filter(function(t,e){return e.captureSelection?e.filter(t=>t.id===o).length>0:e.id===o});if(e&&e.length>0)if(i=Le.pathFromString(e[0]).path,0===s.bias){const e=a.getBoundingClientRect();t<e.left+e.width/2&&!a.classList.contains("ML__placeholder")&&(i[i.length-1].offset=Math.max(0,i[i.length-1].offset-1))}else s.bias<0&&(i[i.length-1].offset=Math.min(this.mathlist.siblings().length-1,Math.max(0,i[i.length-1].offset+s.bias)))}return i};let Di=0;function Fi(t,e,s){const i=Object.assign({},t.config);return i.textToSpeechMarkup="",e+ge.toSpeakableText(s,i)}function Ei(t,e,s,i){let a="";"plonk"===e?(t.plonkSound&&(t.plonkSound.load(),t.plonkSound.play().catch(t=>void 0)),t._resetKeystrokeBuffer()):"delete"===e?a=Fi(t,"deleted: ",i):"focus"===e||/move/.test(e)?a=(t.mathlist.isCollapsed()?"":"selected: ")+t._nextAtomSpeechText(s):"replacement"===e?a=Fi(t,"",t.mathlist.sibling(0)):"line"===e?(a=Fi(t,"",t.mathlist.root),t.accessibleNode.innerHTML='<math xmlns="http://www.w3.org/1998/Math/MathML">'+ge.toMathML(t.mathlist.root,t.config)+"</math>",t.textarea.setAttribute("aria-label","after: "+a)):a=i?Fi(t,e+" ",i):e;const o=/\u00a0/.test(t.ariaLiveText.textContent)?"   ":"   ";t.ariaLiveText.textContent=a+o}_i.prototype._onPointerDown=function(t){let e;const s=this;let i=!1,a=!1,o=!1;function n(t){Ai(s.field,"touchmove",r),Ai(s.field,"touchend touchleave",n),Ai(window,"mousemove",r),Ai(window,"mouseup blur",n),i=!1,t.preventDefault(),t.stopPropagation()}function r(t){const i=t.touches?t.touches[0].clientX:t.clientX,o=t.touches?t.touches[0].clientY:t.clientY;if(Date.now()<h+500&&Math.abs(l-i)<5&&Math.abs(c-o)<5)return t.preventDefault(),void t.stopPropagation();let n=e;t.touches&&2===t.touches.length&&(n=s._pathFromPoint(t.touches[1].clientX,t.touches[1].clientY,{bias:0}));const r=s._pathFromPoint(i,o,{bias:i<=l?i===l?0:-1:1});r&&s.mathlist.setRange(n,r,{extendToWordBoundary:a})&&requestAnimationFrame(s._render.bind(s)),t.preventDefault(),t.stopPropagation()}t.touches&&1===t.touches.length&&(Ti&&Math.abs(Ti.pageX-t.touches[0].pageX)<5&&Math.abs(Ti.pageY-t.touches[0].pageY)<5&&Date.now()<Li+500?Di+=1:(Ti=t.touches[0],Di=1),Li=Date.now()),Ai(this.field,"touchmove",r),Ai(this.field,"touchend touchleave",n),Ai(window,"mousemove",r),Ai(window,"mouseup blur",n);const l=t.touches?t.touches[0].clientX:t.clientX,c=t.touches?t.touches[0].clientY:t.clientY,h=Date.now(),p=this.element.getBoundingClientRect();if(l>=p.left&&l<=p.right&&c>=p.top&&c<=p.bottom){if(this.hasFocus()||(o=!0,this.textarea.focus&&this.textarea.focus()),this._resetKeystrokeBuffer(),this.smartModeSuppressed=!1,t.buttons&&1!==t.buttons)return;(e=this._pathFromPoint(l,c,{bias:0}))&&(t.shiftKey?(this.mathlist.setRange(this.mathlist.path,e),(e=Le.clone(this.mathlist.path))[e.length-1].offset-=1):this.mathlist.setPath(e,0),o=!0,3===t.detail||Di>2?(Ai(this.field,"touchmove",r),Ai(this.field,"touchend",n),Ai(window,"mousemove",r),Ai(window,"mouseup blur",n),i=!1,3!==t.detail&&3!==Di||this.mathlist.selectAll_()):i||(i=!0,Si(window,"blur",n),t.touches?(Si(t.target,"touchmove",r),Si(t.target,"touchend",n)):(Si(window,"mousemove",r),Si(window,"mouseup",n)),2!==t.detail&&2!==Di||(a=!0,this.mathlist.selectGroup_())))}else Ti=null;o&&this._render(),t.preventDefault()},_i.prototype._onSelectionDidChange=function(){this.mathlist.commitCommandStringBeforeInsertionPoint();let t="";this.mathlist.forEachSelected(e=>{t+=e.toLatex()}),t?(this.textarea.value=t,this.hasFocus()&&this.textarea.select&&this.textarea.select()):(this.textarea.value="",this.textarea.setAttribute("aria-label",""));{const t=this.mode;this.mode=this.mathlist.anchorMode()||this.config.defaultMode,this.mode!==t&&"function"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode)}this.style={},ds.updatePopoverPosition(this,{deferred:!0}),"function"==typeof this.config.onSelectionDidChange&&this.config.onSelectionDidChange(this)},_i.prototype._onContentDidChange=function(){this.undoManager.canRedo()?this.element.classList.add("can-redo"):this.element.classList.remove("can-redo"),this.undoManager.canUndo()?this.element.classList.add("can-undo"):this.element.classList.remove("can-undo"),"function"==typeof this.config.onContentDidChange&&this.config.onContentDidChange(this)},_i.prototype._nextAtomSpeechText=function(t){function e(t,e){return"body"===e.relation?{enclose:"cross out",leftright:"fence",surd:"square root",root:"math field"}[t.type]:{numer:"numerator",denom:"denominator",index:"index",body:"parent",subscript:"subscript",superscript:"superscript"}[e.relation]}const s=t?t.path:[],i=this.mathlist.path,a=i[i.length-1];let o="";for(;s.length>i.length;)o+="out of "+e(t.parent(),s[s.length-1])+"; ",s.pop();if(!this.mathlist.isCollapsed())return Fi(this,"",this.mathlist.getSelectedAtoms());const n=e(this.mathlist.parent(),a);0===a.offset&&(o+=(n?"start of "+n:"unknown")+": ");const r=this.mathlist.sibling(Math.max(1,this.mathlist.extent));return r?o+=Fi(this,"",r):0!==a.offset&&(o+=n?"end of "+n:"unknown"),o},_i.prototype._announce=function(t,e,s){"function"==typeof this.config.onAnnounce&&this.config.onAnnounce(this,t,e,s)},_i.prototype._onFocus=function(){this.blurred&&(this.blurred=!1,this.textarea.focus&&this.textarea.focus(),"onfocus"===this.config.virtualKeyboardMode&&this.showVirtualKeyboard_(),ds.updatePopoverPosition(this),this.config.onFocus&&this.config.onFocus(this),this._render())},_i.prototype._onBlur=function(){this.blurred||(this.blurred=!0,this.ariaLiveText.textContent="","onfocus"===this.config.virtualKeyboardMode&&this.hideVirtualKeyboard_(),ds.updatePopoverPosition(this),this._render(),this.config.onBlur&&this.config.onBlur(this))},_i.prototype._onResize=function(){this.element.classList.remove("ML__isNarrowWidth","ML__isWideWidth","ML__isExtendedWidth"),window.innerWidth>=1024?this.element.classList.add("ML__isExtendedWidth"):window.innerWidth>=768?this.element.classList.add("ML__isWideWidth"):this.element.classList.add("ML__isNarrowWidth"),ds.updatePopoverPosition(this)},_i.prototype.toggleKeystrokeCaption_=function(){this.keystrokeCaptionVisible=!this.keystrokeCaptionVisible,this.keystrokeCaption.innerHTML="",this.keystrokeCaptionVisible||(this.keystrokeCaption.style.visibility="hidden")},_i.prototype._showKeystroke=function(t){const e=this.keystrokeCaption;if(e&&this.keystrokeCaptionVisible){const s=this.element.getBoundingClientRect();e.style.left=s.left+"px",e.style.top=s.top-64+"px",e.innerHTML="<span>"+(Pe.stringify(t)||t)+"</span>"+e.innerHTML,e.style.visibility="visible",setTimeout(function(){e.childNodes.length>0&&e.removeChild(e.childNodes[e.childNodes.length-1]),0===e.childNodes.length&&(e.style.visibility="hidden")},3e3)}},_i.prototype.perform=_i.prototype.$perform=function(t){if(!t)return!1;let e,s=!1,i=[],a=!1;return Array.isArray(t)?(e=t[0],i=t.slice(1)):e=t,e=e.replace(/-\w/g,t=>t[1].toUpperCase()),e+="_","function"==typeof this.mathlist[e]?(/^(delete|transpose|add)/.test(e)&&this._resetKeystrokeBuffer(),/^(delete|transpose|add)/.test(e)&&"command"!==this.mode&&(this.undoManager.pop(),this.undoManager.snapshot(this.config)),this.mathlist[e](...i),/^(delete|transpose|add)/.test(e)&&"command"!==this.mode&&this.undoManager.snapshot(this.config),a=!0,s=!0):"function"==typeof this[e]&&(a=this[e](...i),s=!0),this.mathlist.isCollapsed()&&!/^(transpose|paste|complete|((moveToNextChar|moveToPreviousChar|extend).*))_$/.test(e)||this._resetKeystrokeBuffer(),a&&this._render(),s},_i.prototype.performWithFeedback_=function(t){return this.focus(),this.config.keypressVibration&&navigator.vibrate&&navigator.vibrate(3),"moveToNextPlaceholder"===(t=t.replace(/-\w/g,t=>t[1].toUpperCase()))||"moveToPreviousPlaceholder"===t||"complete"===t?this.returnKeypressSound?(this.returnKeypressSound.load(),this.returnKeypressSound.play().catch(t=>void 0)):this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play().catch(t=>void 0)):("deletePreviousChar"===t||"deleteNextChar"===t||"deletePreviousWord"===t||"deleteNextWord"===t||"deleteToGroupStart"===t||"deleteToGroupEnd"===t||"deleteToMathFieldStart"===t||"deleteToMathFieldEnd"===t)&&this.deleteKeypressSound?(this.deleteKeypressSound.load(),this.deleteKeypressSound.play().catch(t=>void 0)):this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play().catch(t=>void 0)),this.perform(t)},_i.prototype.convertLastAtomsToText_=function(t,e){"function"==typeof t&&(e=t,t=1/0),void 0===t&&(t=1/0);let s=0,i=!1;for(this.mathlist.contentWillChange();!i;){const a=this.mathlist.sibling(s);(i=0===t||!a||"math"!==a.mode||!/mord|textord|mpunct/.test(a.type)||a.superscript||a.subscript||e&&!e(a))||(a.applyStyle({mode:"text"}),a.latex=a.body),s-=1,t-=1}this.mathlist.contentDidChange()},_i.prototype.convertLastAtomsToMath_=function(t,e){"function"==typeof t&&(e=t,t=1/0),void 0===t&&(t=1/0),this.mathlist.contentWillChange();let s=0,i=!1;for(;!i;){const a=this.mathlist.sibling(s);(i=0===t||!a||"text"!==a.mode||" "===a.body||e&&!e(a))||a.applyStyle({mode:"math",type:"mord"}),s-=1,t-=1}this.removeIsolatedSpace_(),this.mathlist.contentDidChange()},_i.prototype.removeIsolatedSpace_=function(){let t=0;for(;this.mathlist.sibling(t)&&"math"===this.mathlist.sibling(t).mode;)t-=1;if(this.mathlist.sibling(t)&&"text"===this.mathlist.sibling(t).mode&&" "===this.mathlist.sibling(t).body&&(!this.mathlist.sibling(t-1)||"math"===this.mathlist.sibling(t-1).mode)){this.mathlist.contentWillChange(),this.mathlist.siblings().splice(t-1,1),this.mathlist.contentDidChange();const e=this.mathlist.suppressChangeNotifications;this.mathlist.suppressChangeNotifications=!0,this.mathlist.setSelection(this.mathlist.anchorOffset()-1),this.mathlist.suppressChangeNotifications=e}},_i.prototype.getTextBeforeAnchor_=function(){let t="",e=0,s=!1;for(;!s;){const i=this.mathlist.sibling(e);(s=!(i&&("text"===i.mode&&!i.type||"math"===i.mode&&/mord|textord|mpunct/.test(i.type))))||(t=i.body+t),e-=1}return t},_i.prototype.smartMode_=function(t,e){if(this.smartModeSuppressed)return!1;if(this.mathlist.endOffset()<this.mathlist.siblings().length-1)return!1;if(!e||e.ctrlKey||e.metaKey)return!1;const s=os.eventToChar(e);if(s.length>1)return!1;if(this.mathlist.isCollapsed()){const e=this.getTextBeforeAnchor_()+s;if("text"===this.mode){if("Esc"===t||/[\/^_\\]/.test(s))return!0;const i={")":"(","}":"{","]":"["}[s];if(i&&this.mathlist.parent()&&"leftright"===this.mathlist.parent().type&&this.mathlist.parent().leftDelim===i)return!0;if(/(^|[^a-zA-Z])(a|I)[ ]$/.test(e))return!1;if(/(^|[^a-zA-Z])[a-zA-Z][ ]$/.test(e))return this.convertLastAtomsToMath_(1),!1;if(/\.\S$/.test(e)){const t=this.mathlist.sibling(0);return t.body="⋅",t.fontFamily="cmr",t.latex="\\cdot",t.mode="math",t.type="mord",!0}if(/(^|\s)[a-zA-Z][^a-zA-Z]$/.test(e))return this.convertLastAtomsToMath_(1),this.removeIsolatedSpace_(),!0;if(/\.[0-9]$/.test(e))return this.convertLastAtomsToMath_(1),!0;if(/[(][0-9+\-.]$/.test(e))return this.convertLastAtomsToMath_(1),this.removeIsolatedSpace_(),!0;if(/[(][a-z][,;]$/.test(e))return this.convertLastAtomsToMath_(2),this.removeIsolatedSpace_(),!0;if(/[0-9+\-=><*|]$/.test(s))return this.removeIsolatedSpace_(),!0}else{if("Spacebar"===t)return this.convertLastAtomsToText_(t=>/[a-z][:,;.]$/.test(t.body)),!0;if(/[a-zA-Z]{3,}$/.test(e)&&!/dxd$/.test(e))return this.convertLastAtomsToText_(t=>/[a-zA-Z:,;.]/.test(t.body)),!0;if(/(^|\W)(if|If)$/i.test(e))return this.convertLastAtomsToText_(1),!0;if(/\?|\./.test(s))return!0}}return!1},_i.prototype._onKeystroke=function(t,e){if(this._showKeystroke(t),clearTimeout(this.keystrokeBufferResetTimer),this.config.onKeystroke&&!this.config.onKeystroke(this,t,e))return e&&e.preventDefault&&(e.preventDefault(),e.stopPropagation()),!1;let s,i,a,o=!1;if("command"!==this.mode&&(!e||!e.ctrlKey&&!e.metaKey)){const t=os.eventToChar(e);if("Backspace"!==t)if(!t||t.length>1)this._resetKeystrokeBuffer();else{const e=this.keystrokeBuffer+t;let a=0;for(;!s&&a<e.length;){const t=this.keystrokeBufferStates[a]?Ce.parseTokens(x.tokenize(this.keystrokeBufferStates[a].latex),this.config.default,null,this.config.macros):this.mathlist.siblings();s=Pe.forString(t,e.slice(a),this.config),a+=1}i=a-1,this.keystrokeBuffer+=t,this.keystrokeBufferStates.push(this.undoManager.save()),Pe.startsWithString(e,this.config).length<=1?o=!0:this.config.inlineShortcutTimeout&&(this.keystrokeBufferResetTimer=setTimeout(()=>{this._resetKeystrokeBuffer()},this.config.inlineShortcutTimeout))}}if(this.config.smartMode){const i=this.mode;s?this.mode="math":this.smartMode_(t,e)&&(this.mode={math:"text",text:"math"}[this.mode],a=""),this.mode!==i&&"function"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode)}if(s||a||(a=Pe.selectorForKeystroke(this.mode,t)),!s&&!a)return!0;this.mathlist.decorateCommandStringAroundInsertionPoint(!1);const n=this.mathlist.parent();if("moveAfterParent"===a&&n&&"leftright"===n.type&&this.mathlist.endOffset()===this.mathlist.siblings().length-1&&this.mathlist._insertSmartFence(".")&&(a="",this._render()),"math"===this.mode&&"Spacebar"===t){const t=this.mathlist.sibling(1),e=this.mathlist.sibling(-1);(t&&"text"===t.mode||e&&"text"===e.mode)&&this.mathlist.insert(" ",{mode:"text"})}if((a&&!this.perform(a)||s)&&s){if(!/^(\\{|\\}|\\[|\\]|\\@|\\#|\\$|\\%|\\^|\\_|\\backslash)$/.test(s)){const t={...this.mathlist.anchorStyle(),...this.style};this.mathlist.insert(os.eventToChar(e),{suppressChangeNotifications:!0,mode:this.mode,style:t});const s=this.mode;this.undoManager.snapshotAndCoalesce(this.config),this.undoManager.restore(this.keystrokeBufferStates[i],{...this.config,suppressChangeNotifications:!0}),this.mode=s}this.mathlist.contentWillChange();const t=this.mathlist.suppressChangeNotifications;this.mathlist.suppressChangeNotifications=!0;const a={...this.mathlist.anchorStyle(),...this.style};this.mathlist._insertSmartFence(s,a)||this.mathlist.insert(s,{format:"latex",mode:this.mode,style:a}),this.removeIsolatedSpace_(),this.mathlist.suppressChangeNotifications=t,this.mathlist.contentDidChange(),this.undoManager.snapshot(this.config),this._render(),this._announce("replacement"),o&&this._resetKeystrokeBuffer()}return e&&e.preventDefault&&(e.preventDefault(),e.stopPropagation()),!1},_i.prototype._onTypedText=function(t,e){if((e=e||{}).focus&&this.focus(),e.feedback&&(this.config.keypressVibration&&navigator.vibrate&&navigator.vibrate(3),this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play().catch(t=>void 0))),e.commandMode&&"command"!==this.mode&&this.switchMode_("command"),this.mathlist.decorateCommandStringAroundInsertionPoint(!1),e.simulateKeystroke){const e=t.charAt(0),s=os.charToEvent(e);if(!this.$keystroke(os.keyboardEventToString(s),s))return}let s="",i=!1;if(this.pasteInProgress)this.pasteInProgress=!1,this.mathlist.insert(t,{smartFence:this.config.smartFence,mode:"math"});else{const e={...this.mathlist.anchorStyle(),...this.style},a=y.splitGraphemes(t);for(const t of a)if("command"===this.mode){this.mathlist.removeSuggestion(),this.suggestionIndex=0;const e=this.mathlist.extractCommandStringAroundInsertionPoint(),a=Nt.suggest(e+t);i=a.length>1,0===a.length?(this.mathlist.insert(t,{mode:"command"}),/^\\[a-zA-Z\\*]+$/.test(e+t)&&this.mathlist.decorateCommandStringAroundInsertionPoint(!0),ds.hidePopover(this)):(this.mathlist.insert(t,{mode:"command"}),a[0].match!==e+t&&this.mathlist.insertSuggestion(a[0].match,-a[0].match.length+e.length+1),s=a[0].match)}else if("math"===this.mode){const s={"^":"moveToSuperscript",_:"moveToSubscript"," ":"moveAfterParent"}[t];if(s){if("moveToSuperscript"===s){if(this._superscriptDepth()>=this.config.scriptDepth[1])return void this._announce("plonk")}else if("moveToSubscript"===s&&this._subscriptDepth()>=this.config.scriptDepth[0])return void this._announce("plonk");this.perform(s)}else this.config.smartSuperscript&&"superscript"===this.mathlist.relation()&&/[0-9]/.test(t)&&0===this.mathlist.siblings().filter(t=>"first"!==t.type).length?(this.mathlist.insert(t,{mode:"math",style:e}),this.mathlist.moveAfterParent_()):this.mathlist._insertSmartFence(t,e)||this.mathlist.insert(t,{mode:"math",style:e})}else"text"===this.mode&&this.mathlist.insert(t,{mode:"text",style:e})}"command"!==this.mode&&this.undoManager.snapshotAndCoalesce(this.config),this._render(),ds.showPopoverWithLatex(this,s,i)},_i.prototype._hash=function(){let t=0;const e=this.mathlist.root.toLatex(!1);for(let s=0;s<e.length;s++)t=31*t+e.charCodeAt(s),t|=0;return Math.abs(t)},_i.prototype._render=function(t){t=t||{},window.mathlive||(window.mathlive={}),this.mathlist.anchor()||(this.mathlist.path=[{relation:"body",offset:0}]),this.mathlist.forEach(t=>{t.caret="",t.isSelected=!1});const e=this.hasFocus();this.mathlist.isCollapsed()?this.mathlist.anchor().caret=e?this.mode:"":this.mathlist.forEachSelected(t=>{t.isSelected=!0});const s=ge.decompose({mathstyle:"displaystyle",generateID:{seed:this._hash(),groupNumbers:t.forHighlighting},macros:this.config.macros},this.mathlist.root),i=ot.makeSpan(s,"ML__base");i.attributes={translate:"no","aria-hidden":"true"};const a=ot.makeSpan("","ML__strut");a.setStyle("height",i.height,"em");const o=[a];if(0!==i.depth){const t=ot.makeSpan("","ML__strut--bottom");t.setStyle("height",i.height+i.depth,"em"),t.setStyle("vertical-align",-i.depth,"em"),o.push(t)}o.push(i);const n=ot.makeSpan(o,"ML__mathlive");this.field.innerHTML=n.toMarkup(0,this.config.horizontalSpacingScale),this.field.classList.toggle("ML__focused",e),this.accessibleNode.innerHTML="<math xmlns='http://www.w3.org/1998/Math/MathML'>"+ge.toMathML(this.mathlist.root,this.config)+"</math>";const r=this.field.querySelectorAll(".ML__selected");if(r&&r.length>0){const t={top:1/0,bottom:-1/0,left:1/0,right:-1/0};r.forEach(e=>{if(e.classList.contains("ML__selected")){const s=e.getBoundingClientRect();s.left<t.left&&(t.left=s.left),s.right>t.right&&(t.right=s.right),s.bottom>t.bottom&&(t.bottom=s.bottom),s.top<t.top&&(t.top=s.top)}});const e=this.field.getBoundingClientRect(),s=document.createElement("div");s.classList.add("ML__selection"),s.style.position="absolute",s.style.left=t.left-e.left+"px",s.style.top=t.top-e.top+"px",s.style.width=t.right-t.left+"px",s.style.height=t.bottom-t.top+"px",this.field.insertBefore(s,this.field.childNodes[0])}this.scrollIntoView_()},_i.prototype._onPaste=function(){return this.pasteInProgress=!0,!0},_i.prototype._onCut=function(){return setTimeout(function(){this.clearSelection(),this._render()}.bind(this),0),!0},_i.prototype._onCopy=function(t){this.mathlist.isCollapsed()?(t.clipboardData.setData("text/plain",this.$text("latex-expanded")),t.clipboardData.setData("application/json",this.$text("json")),t.clipboardData.setData("application/xml",this.$text("mathML"))):(t.clipboardData.setData("text/plain",this.$selectedText("latex-expanded")),t.clipboardData.setData("application/json",this.$selectedText("json")),t.clipboardData.setData("application/xml",this.$selectedText("mathML"))),t.preventDefault()},_i.prototype.formatMathlist=function(t,e){let s="";if("latex"===(e=e||"latex")||"latex-expanded"===e)s=t.toLatex("latex-expanded"===e);else if("mathML"===e)s=t.toMathML(this.config);else if("spoken"===e)s=ge.toSpeakableText(t,this.config);else if("spoken-text"===e){const e=this.config.textToSpeechMarkup;this.config.textToSpeechMarkup="",s=ge.toSpeakableText(t,this.config),this.config.textToSpeechMarkup=e}else if("spoken-ssml"===e){const e=this.config.textToSpeechMarkup;this.config.textToSpeechMarkup="ssml",s=ge.toSpeakableText(t,this.config),this.config.textToSpeechMarkup=e}else if("json"===e){const e=ge.toAST(t,this.config);s=JSON.stringify(e)}else"ASCIIMath"===e&&(s=function t(e,s){if(!e)return"";if(Array.isArray(e)){let i="";if(0===e.length)return"";if("first"===e[0].type&&e.shift(),"text"===e[0].mode){let a=0;for(i='"';e[a]&&"text"===e[a].mode;)i+=e[a].body,a++;i+='"'+t(e.slice(a),s)}else{let a=0;for(;e[a]&&"math"===e[a].mode;)i+=t(e[a],s),a++;i+=t(e.slice(a),s)}return i.trim()}let i="";const a=e.latex?e.latex.trim():null;let o;switch(e.type){case"group":case"root":i=t(e.body,s);break;case"array":break;case"genfrac":(e.leftDelim||e.rightDelim)&&(i+="."!==e.leftDelim&&e.leftDelim?e.leftDelim:"{:"),e.hasBarLine?(i+="(",i+=t(e.numer,s),i+=")/(",i+=t(e.denom,s),i+=")"):(i+="("+t(e.numer,s)+"),",i+="("+t(e.denom,s)+")"),(e.leftDelim||e.rightDelim)&&(i+="."!==e.rightDelim&&e.rightDelim?e.rightDelim:"{:");break;case"surd":e.index?i+="root("+t(e.index,s)+")("+t(e.body,s)+")":i+="sqrt("+t(e.body,s)+")";break;case"leftright":i+="."!==e.leftDelim&&e.leftDelim?e.leftDelim:"{:",i+=t(e.body,s),i+="."!==e.rightDelim&&e.rightDelim?e.rightDelim:"{:";break;case"sizeddelim":case"delim":case"accent":break;case"line":case"overlap":case"overunder":break;case"mord":"\\"===(i=Ms[a]||a||("string"==typeof e.body?e.body:""))[0]&&(i+=""),(o=a?a.match(/[{]?\\char"([0-9abcdefABCDEF]*)[}]?/):null)?i=String.fromCharCode(parseInt("0x"+o[1])):i.length>0&&"\\"===i.charAt(0)&&(i="string"==typeof e.body?e.body.charAt(0):e.latex);break;case"mbin":case"mrel":case"textord":case"minner":i=a&&Ms[a]?Ms[a]:a&&Cs[a]?Cs[a]:e.body;break;case"mopen":case"mclose":i+=e.body;break;case"mpunct":i=Cs[a]||a;break;case"mop":"​"!==e.body&&(i="",i+="\\operatorname"===a?e.body:e.body||a,i+=" ");break;case"mathstyle":case"box":case"spacing":case"enclose":case"sizing":break;case"space":i=" "}if(e.subscript){i+="_";const a=t(e.subscript,s);a.length>1&&!/^(-)?\d+(\.\d*)?$/.test(a)?i+="("+a+")":i+=a}if(e.superscript){i+="^";const a=t(e.superscript,s);a.length>1&&!/^(-)?\d+(\.\d*)?$/.test(a)?i+="("+a+")":i+=a}return i}(t,this.config));return s},_i.prototype.text=_i.prototype.$text=function(t){return this.formatMathlist(this.mathlist.root,t)},_i.prototype.selectedText=_i.prototype.$selectedText=function(t){const e=this.mathlist.getSelectedAtoms();if(!e)return"";const s=ge.makeRoot(e[0].mode,e);return this.formatMathlist(s,t)},_i.prototype.selectionIsCollapsed=_i.prototype.$selectionIsCollapsed=function(){return this.mathlist.isCollapsed()},_i.prototype.selectionDepth=_i.prototype.$selectionDepth=function(){return this.mathlist.path.length},_i.prototype._superscriptDepth=function(){let t=0,e=0,s=this.mathlist.ancestor(e),i=!1;for(;s;)(s.superscript||s.subscript)&&(t+=1),s.superscript?i=!0:s.subscript&&(i=!1),e+=1,s=this.mathlist.ancestor(e);return i?t:0},_i.prototype._subscriptDepth=function(){let t=0,e=0,s=this.mathlist.ancestor(e),i=!1;for(;s;)(s.superscript||s.subscript)&&(t+=1),s.superscript?i=!1:s.subscript&&(i=!0),e+=1,s=this.mathlist.ancestor(e);return i?t:0},_i.prototype.selectionAtStart=_i.prototype.$selectionAtStart=function(){return 0===this.mathlist.startOffset()},_i.prototype.selectionAtEnd=_i.prototype.$selectionAtEnd=function(){return this.mathlist.endOffset()>=this.mathlist.siblings().length-1},_i.prototype.groupIsSelected=function(){return 0===this.mathlist.startOffset()&&this.mathlist.endOffset()>=this.mathlist.siblings().length-1},_i.prototype.latex=_i.prototype.$latex=function(t,e){if(t){return t!==this.mathlist.root.toLatex()&&(e=e||{},this.mathlist.insert(t,Object.assign({},this.config,{insertionMode:"replaceAll",selectionMode:"after",format:"latex",mode:"math",suppressChangeNotifications:e.suppressChangeNotifications})),this.undoManager.snapshot(this.config),this._render()),t}return this.mathlist.root.toLatex()},_i.prototype.el=_i.prototype.$el=function(){return this.element},_i.prototype.undo_=_i.prototype.undo=function(){return this.complete_(),this.undoManager.undo(this.config),!0},_i.prototype.redo_=_i.prototype.redo=function(){return this.complete_(),this.undoManager.redo(this.config),!0},_i.prototype.scrollIntoView_=_i.prototype.scrollIntoView=function(){return!1},_i.prototype.scrollToStart_=_i.prototype.scrollToStart=function(){return!0},_i.prototype.scrollToEnd_=_i.prototype.scrollToEnd=function(){return!0},_i.prototype.enterCommandMode_=function(){this.switchMode_("command")},_i.prototype.copyToClipboard_=function(){return this.focus(),this.mathlist.isCollapsed()&&this.select(),document.execCommand("copy"),!1},_i.prototype.cutToClipboard_=function(){return this.focus(),document.execCommand("cut"),!0},_i.prototype.pasteFromClipboard_=function(){return this.focus(),document.execCommand("paste"),!0},_i.prototype.insert_=_i.prototype.insert=_i.prototype.$insert=function(t,e){if("string"==typeof t&&t.length>0){if((e=e||{}).focus&&this.focus(),e.feedback&&(this.config.keypressVibration&&navigator.vibrate&&navigator.vibrate(3),this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play())),"\\\\"===t)this.mathlist.addRowAfter_();else if("&"===t)this.mathlist.addColumnAfter_();else{const s=this.style;this.style.fontFamily||(this.style.fontFamily="math"),this.mathlist.insert(t,{mode:this.mode,style:this.mathlist.anchorStyle(),...e}),e.resetStyle&&(this.style=s)}return this.undoManager.snapshot(this.config),!0}return!1},_i.prototype.switchMode_=function(t,e,s){this._resetKeystrokeBuffer(),this.smartModeSuppressed=!0,e&&this.insert(e,{format:"latex",mode:{math:"text",text:"math"}[t]}),this.mathlist.decorateCommandStringAroundInsertionPoint(!1),"command"===t?(this.mathlist.removeSuggestion(),ds.hidePopover(this),this.suggestionIndex=0,this.virtualKeyboardVisible&&this.switchKeyboardLayer_("lower-command"),this.mathlist.insert("",{mode:"math"})):this.mode=t,s&&this.insert(s,{format:"latex",mode:t}),"function"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode),this._render()},_i.prototype.complete_=function(t){if(t=t||{},ds.hidePopover(this),t.discard)return this.mathlist.spliceCommandStringAroundInsertionPoint(null),this.switchMode_("math"),!0;const e=this.mathlist.extractCommandStringAroundInsertionPoint(!t.acceptSuggestion);if(e){if("\\("===e||"\\)"===e)this.mathlist.spliceCommandStringAroundInsertionPoint([]),this.mathlist.insert(e.slice(1),{mode:this.mode});else{const t="math";if(Nt.commandAllowed(t,e)){const s=Ce.parseTokens(x.tokenize(e),t,null,this.config.macros);this.mathlist.spliceCommandStringAroundInsertionPoint(s)}else{const s=Ce.parseTokens(x.tokenize(e),t,null,this.config.macros);s?this.mathlist.spliceCommandStringAroundInsertionPoint(s):this.mathlist.decorateCommandStringAroundInsertionPoint(!0)}}return this.undoManager.snapshot(this.config),this._announce("replacement"),!0}return!1},_i.prototype._updateSuggestion=function(){this.mathlist.positionInsertionPointAfterCommitedCommand(),this.mathlist.removeSuggestion();const t=this.mathlist.extractCommandStringAroundInsertionPoint(),e=Nt.suggest(t);if(0===e.length)ds.hidePopover(this),this.mathlist.decorateCommandStringAroundInsertionPoint(!0);else{const s=this.suggestionIndex%e.length,i=t.length-e[s].match.length;0!==i&&this.mathlist.insertSuggestion(e[s].match,i),ds.showPopoverWithLatex(this,e[s].match,e.length>1)}this._render()},_i.prototype.nextSuggestion_=function(){return this.suggestionIndex+=1,this._updateSuggestion(),!1},_i.prototype.previousSuggestion_=function(){if(this.suggestionIndex-=1,this.suggestionIndex<0){this.mathlist.removeSuggestion();const t=this.mathlist.extractCommandStringAroundInsertionPoint(),e=Nt.suggest(t);this.suggestionIndex=e.length-1}return this._updateSuggestion(),!1},_i.prototype._attachButtonHandlers=function(t,e){const s=this;let i,a,o,n,r;"object"==typeof e&&(e.default||e.pressed)?(e.default&&t.setAttribute("data-"+this.config.namespace+"command",JSON.stringify(e.default)),e.alt&&t.setAttribute("data-"+this.config.namespace+"command-alt",JSON.stringify(e.alt)),e.altshift&&t.setAttribute("data-"+this.config.namespace+"command-altshift",JSON.stringify(e.altshift)),e.shift&&t.setAttribute("data-"+this.config.namespace+"command-shift",JSON.stringify(e.shift)),e.pressed&&t.setAttribute("data-"+this.config.namespace+"command-pressed",JSON.stringify(e.pressed)),e.pressAndHoldStart&&t.setAttribute("data-"+this.config.namespace+"command-pressAndHoldStart",JSON.stringify(e.pressAndHoldStart)),e.pressAndHoldEnd&&t.setAttribute("data-"+this.config.namespace+"command-pressAndHoldEnd",JSON.stringify(e.pressAndHoldEnd))):t.setAttribute("data-"+this.config.namespace+"command",JSON.stringify(e)),Si(t,"mousedown touchstart:passive",function(e){if("mousedown"!==e.type||1===e.buttons){e.stopPropagation(),t.classList.add("pressed"),i=Date.now(),"touchstart"===e.type&&(o=e.changedTouches[0].identifier);const n=t.getAttribute("data-"+s.config.namespace+"command-pressed");n&&s.perform(JSON.parse(n));const l=t.getAttribute("data-"+s.config.namespace+"command-pressAndHoldStart");l&&(a=t,r&&clearTimeout(r),r=window.setTimeout(function(){t.classList.contains("pressed")&&s.perform(JSON.parse(l))},300))}}),Si(t,"mouseleave touchcancel",function(){t.classList.remove("pressed")}),Si(t,"touchmove:passive",function(t){t.preventDefault();for(let e=0;e<t.changedTouches.length;e++)if(t.changedTouches[e].identifier===o){const s=document.elementFromPoint(t.changedTouches[e].clientX,t.changedTouches[e].clientY);s!==n&&n&&(n.dispatchEvent(new MouseEvent("mouseleave"),{bubbles:!0}),n=null),s&&(n=s,s.dispatchEvent(new MouseEvent("mouseenter",{bubbles:!0,buttons:1})))}}),Si(t,"mouseenter",function(e){1===e.buttons&&t.classList.add("pressed")}),Si(t,"mouseup touchend click",function(e){if(n){e.stopPropagation(),e.preventDefault();const t=n;return n=null,void t.dispatchEvent(new MouseEvent("mouseup",{bubbles:!0}))}if(t.classList.remove("pressed"),t.classList.add("active"),"click"===e.type&&0!==e.detail)return e.stopPropagation(),void e.preventDefault();window.setTimeout(function(){t.classList.remove("active")},150);let o=t.getAttribute("data-"+s.config.namespace+"command-pressAndHoldEnd");const r=Date.now();(t!==a||r<i+300)&&(o=void 0),!o&&e.altKey&&e.shiftKey&&(o=t.getAttribute("data-"+s.config.namespace+"command-altshift")),!o&&e.altKey&&(o=t.getAttribute("data-"+s.config.namespace+"command-alt")),!o&&e.shiftKey&&(o=t.getAttribute("data-"+s.config.namespace+"command-shift")),o||(o=t.getAttribute("data-"+s.config.namespace+"command")),o&&s.perform(JSON.parse(o)),e.stopPropagation(),e.preventDefault()})},_i.prototype._makeButton=function(t,e,s,i){const a=document.createElement("span");return a.innerHTML=t,e&&a.classList.add([].slice.call(e.split(" "))),s&&a.setAttribute("aria-label",s),this._attachButtonHandlers(a,i),a},_i.prototype.showAlternateKeys_=function(t,e){const s=Mi("mathlive-alternate-keys-panel","ML__keyboard alternate-keys");this.virtualKeyboard.classList.contains("material")&&s.classList.add("material"),e.length>=7?s.style.width="286px":4===e.length||2===e.length?s.style.width="146px":1===e.length?s.style.width="86px":s.style.width="146px",s.style.height="auto";let i="";for(const t of e)i+="<li","string"==typeof t?i+=' data-latex="'+t.replace(/"/g,"&quot;")+'"':(t.latex&&(i+=' data-latex="'+t.latex.replace(/"/g,"&quot;")+'"'),t.content&&(i+=' data-content="'+t.content.replace(/"/g,"&quot;")+'"'),t.insert&&(i+=' data-insert="'+t.insert.replace(/"/g,"&quot;")+'"'),t.command&&(i+=" data-command='"+t.command.replace(/"/g,"&quot;")+"'"),t.aside&&(i+=' data-aside="'+t.aside.replace(/"/g,"&quot;")+'"'),t.classes&&(i+=' data-classes="'+t.classes+'"')),i+=">",i+=t.label||"",i+="</li>";i="<ul>"+i+"</ul>",s.innerHTML=i,As.makeKeycap(this,s.getElementsByTagName("li"),"performAlternateKeys");const a=this.virtualKeyboard.querySelector('div.keyboard-layer.is-visible div.rows ul li[data-alt-keys="'+t+'"]').getBoundingClientRect();if(a){a.top-s.clientHeight<0&&(s.style.width="auto",e.length<=6?s.style.height="56px":e.length<=12?s.style.height="108px":s.style.height="205px");const t=(a.top-s.clientHeight+5).toString()+"px",i=Math.max(0,Math.min(window.innerWidth-s.offsetWidth,(a.left+a.right-s.offsetWidth)/2))+"px";s.style.transform="translate("+i+","+t+")",s.classList.add("is-visible")}return!1},_i.prototype.hideAlternateKeys_=function(){const t=document.getElementById("mathlive-alternate-keys-panel");return t&&(t.classList.remove("is-visible"),t.innerHTML="",Ci(t)),!1},_i.prototype.performAlternateKeys_=function(t){return this.hideAlternateKeys_(),this.perform(t)},_i.prototype.switchKeyboardLayer_=function(t){if("off"!==this.config.virtualKeyboardMode){"lower-command"!==t&&"upper-command"!==t&&"symbols-command"!==t&&this.complete_(),this.showVirtualKeyboard_(),this.hideAlternateKeys_(),this.unshiftKeyboardLayer_();const e=this.virtualKeyboard.getElementsByClassName("keyboard-layer");let s=!1;for(let i=0;i<e.length;i++)if(e[i].id===t){s=!0;break}if(s)for(let s=0;s<e.length;s++)e[s].id===t?e[s].classList.add("is-visible"):e[s].classList.remove("is-visible");this.focus()}return!0},_i.prototype.shiftKeyboardLayer_=function(){const t=this.virtualKeyboard.querySelectorAll("div.keyboard-layer.is-visible .rows .keycap, div.keyboard-layer.is-visible .rows .action");if(t)for(let e=0;e<t.length;e++){const s=t[e];let i=s.getAttribute("data-shifted");if(i||/^[a-z]$/.test(s.innerHTML)){s.setAttribute("data-unshifted-content",s.innerHTML),i||(i=s.innerHTML.toUpperCase()),s.innerHTML=i;const t=s.getAttribute("data-"+this.config.namespace+"command");if(t){s.setAttribute("data-unshifted-command",t);const e=s.getAttribute("data-shifted-command");if(e)s.setAttribute("data-"+this.config.namespace+"command",e);else{const e=JSON.parse(t);Array.isArray(e)&&(e[1]=e[1].toUpperCase()),s.setAttribute("data-"+this.config.namespace+"command",JSON.stringify(e))}}}}return!1},_i.prototype.unshiftKeyboardLayer_=function(){const t=this.virtualKeyboard.querySelectorAll("div.keyboard-layer.is-visible .rows .keycap, div.keyboard-layer.is-visible .rows .action");if(t)for(let e=0;e<t.length;e++){const s=t[e],i=s.getAttribute("data-unshifted-content");i&&(s.innerHTML=i);const a=s.getAttribute("data-unshifted-command");a&&s.setAttribute("data-"+this.config.namespace+"command",a)}return!1},_i.prototype.insertAndUnshiftKeyboardLayer_=function(t){return this.insert_(t),this.unshiftKeyboardLayer_(),!0},_i.prototype.toggleVirtualKeyboardAlt_=function(){let t=!1;return this.virtualKeyboard&&(t=this.virtualKeyboard.classList.contains("material"),this.virtualKeyboard.remove(),delete this.virtualKeyboard,this.virtualKeyboard=null),this.showVirtualKeyboard_(t?"":"material"),!1},_i.prototype.toggleVirtualKeyboardShift_=function(){this.config.virtualKeyboardLayout={qwerty:"azerty",azerty:"qwertz",qwertz:"dvorak",dvorak:"colemak",colemak:"qwerty"}[this.config.virtualKeyboardLayout];let t=this.virtualKeyboard?this.virtualKeyboard.querySelector("div.keyboard-layer.is-visible"):null;return t=t?t.id:"",this.virtualKeyboard&&(this.virtualKeyboard.remove(),delete this.virtualKeyboard,this.virtualKeyboard=null),this.showVirtualKeyboard_(),t&&this.switchKeyboardLayer_(t),!1},_i.prototype.showVirtualKeyboard_=function(t){return this.virtualKeyboardVisible=!1,this.toggleVirtualKeyboard_(t),!1},_i.prototype.hideVirtualKeyboard_=function(){return this.virtualKeyboardVisible=!0,this.toggleVirtualKeyboard_(),!1},_i.prototype.toggleVirtualKeyboard_=function(t){if(this.virtualKeyboardVisible=!this.virtualKeyboardVisible,this.virtualKeyboardVisible){this.virtualKeyboard?this.virtualKeyboard.classList.add("is-visible"):(this.virtualKeyboard=As.make(this,t),Si(this.virtualKeyboard,"touchstart:passive mousedown",function(){e.focus()}),document.body.appendChild(this.virtualKeyboard));const e=this;window.setTimeout(function(){e.virtualKeyboard.classList.add("is-visible")},1)}else this.virtualKeyboard&&this.virtualKeyboard.classList.remove("is-visible");return"function"==typeof this.config.onVirtualKeyboardToggle&&this.config.onVirtualKeyboardToggle(this,this.virtualKeyboardVisible,this.virtualKeyboard),!1},_i.prototype.$applyStyle=_i.prototype.applyStyle_=function(t){if(this._resetKeystrokeBuffer(),t.mode)if(this.mathlist.isCollapsed())this.switchMode_("math"===this.mode?"text":"math");else{const t=this.mode,e="math"===(this.mathlist.anchorMode()||this.config.default)?"text":"math";let s=this.$selectedText("ASCIIMath");if("math"===e&&/^"[^"]+"$/.test(s)&&(s=s.slice(1,-1)),this.insert(s,{mode:e,selectionMode:"item",format:"text"===e?"text":"ASCIIMath"}),this.mode=e,this.groupIsSelected()){const t=this.mathlist.parent();!t||"group"!==t.type&&"root"!==t.type||(t.mode=e)}this.mode!==t&&"function"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode)}else this.mathlist.isCollapsed()?this.style=t:(this.mathlist._applyStyle(t),this.undoManager.snapshot(this.config));return!0},_i.prototype.hasFocus=_i.prototype.$hasFocus=function(){return document.hasFocus()&&document.activeElement===this.textarea},_i.prototype.focus=_i.prototype.$focus=function(){this.hasFocus()||(this.textarea.focus&&this.textarea.focus(),this._announce("line"))},_i.prototype.blur=_i.prototype.$blur=function(){this.hasFocus()&&this.textarea.blur&&this.textarea.blur()},_i.prototype.select=_i.prototype.$select=function(){this.mathlist.selectAll_()},_i.prototype.clearSelection=_i.prototype.$clearSelection=function(){this.mathlist.delete_()},_i.prototype.keystroke=_i.prototype.$keystroke=function(t,e){return this._onKeystroke(t,e)},_i.prototype.typedText=_i.prototype.$typedText=function(t){this._onTypedText(t)},_i.prototype.typedText_=function(t,e){return this._onTypedText(t,e)},_i.prototype.setConfig=_i.prototype.$setConfig=function(t){if(this.config||(this.config={smartFence:!0,smartSuperscript:!0,scriptDepth:[1/0,1/0],removeExtraneousParentheses:!0,overrideDefaultInlineShortcuts:!1,virtualKeyboard:"",virtualKeyboardLayout:"qwerty",namespace:""}),this.config={...this.config,...t},!Array.isArray(this.config.scriptDepth)){const t=parseInt(this.config.scriptDepth);this.config.scriptDepth=[t,t]}if(void 0===this.config.removeExtraneousParentheses&&(this.config.removeExtraneousParentheses=!0),this.config.onAnnounce=t.onAnnounce||Ei,this.config.macros=Object.assign({},Nt.MACROS,this.config.macros),!/^[a-z]*[-]?$/.test(this.config.namespace))throw Error("options.namespace must be a string of lowercase characters only");/-$/.test(this.config.namespace)||(this.config.namespace+="-"),us.locale=this.config.locale||us.locale,us.merge(this.config.strings),this.keypressSound=void 0,this.spacebarKeypressSound=void 0,this.returnKeypressSound=void 0,this.deleteKeypressSound=void 0,this.config.keypressSound&&("string"==typeof this.config.keypressSound?(this.keypressSound=new Audio,this.keypressSound.preload="none",this.keypressSound.src=this.config.keypressSound,this.keypressSound.volume=.5,this.spacebarKeypressSound=this.keypressSound,this.returnKeypressSound=this.keypressSound,this.deleteKeypressSound=this.keypressSound):(this.keypressSound=new Audio,this.keypressSound.preload="none",this.keypressSound.src=this.config.keypressSound.default,this.keypressSound.volume=.5,this.spacebarKeypressSound=this.keypressSound,this.returnKeypressSound=this.keypressSound,this.deleteKeypressSound=this.keypressSound,this.config.keypressSound.spacebar&&(this.spacebarKeypressSound=new Audio,this.spacebarKeypressSound.preload="none",this.spacebarKeypressSound.src=this.config.keypressSound.spacebar,this.spacebarKeypressSound.volume=.5),this.config.keypressSound.return&&(this.returnKeypressSound=new Audio,this.returnKeypressSound.preload="none",this.returnKeypressSound.src=this.config.keypressSound.return,this.returnKeypressSound.volume=.5),this.config.keypressSound.delete&&(this.deleteKeypressSound=new Audio,this.deleteKeypressSound.preload="none",this.deleteKeypressSound.src=this.config.keypressSound.delete,this.deleteKeypressSound.volume=.5))),this.config.plonkSound&&(this.plonkSound=new Audio,this.plonkSound.preload="none",this.plonkSound.src=this.config.plonkSound,this.plonkSound.volume=.5)},_i.prototype._speakWithSynchronizedHighlighting=function(t){this.config.handleReadAloud&&this.config.handleReadAloud(this.field,t,this.config)},_i.prototype._speak=function(t){this.config.handleSpeak&&this.config.handleSpeak(t,this.config)},_i.prototype.speakSelection_=function(){let t="Nothing selected.";return this.mathlist.isCollapsed()||(t=ge.toSpeakableText(this.mathlist.getSelectedAtoms(),this.config)),this._speak(t),!1},_i.prototype.speakSelectionWithSynchronizedHighlighting_=function(){if(this.mathlist.isCollapsed())this._speak("Nothing selected.");else{window.mathlive.readAloudMathField=this,this._render({forHighlighting:!0});const t=this.config;t.textToSpeechMarkup=window.sre&&"sre"===t.textToSpeechRules?"ssml_step":"ssml";const e=ge.toSpeakableText(this.mathlist.getSelectedAtoms(),t);this._speakWithSynchronizedHighlighting(e)}return!1},_i.prototype.speakParent_=function(){let t="No parent.";const e=this.mathlist.parent();return e&&"root"!==e.type&&(t=ge.toSpeakableText(this.mathlist.parent(),this.config)),this._speak(t),!1},_i.prototype.speakRightSibling_=function(){let t="At the end.";const e=this.mathlist.siblings(),s=this.mathlist.startOffset()+1;if(s<e.length-1){const i=[];for(let t=s;t<=e.length-1;t++)i.push(e[t]);t=ge.toSpeakableText(i,this.config)}return this._speak(t),!1},_i.prototype.speakLeftSibling_=function(){let t="At the beginning.";const e=this.mathlist.siblings(),s=this.mathlist.isCollapsed()?this.mathlist.startOffset():this.mathlist.startOffset()-1;if(s>=1){const i=[];for(let t=1;t<=s;t++)i.push(e[t]);t=ge.toSpeakableText(i,this.config)}return this._speak(t),!1},_i.prototype.speakGroup_=function(){return this._speak(ge.toSpeakableText(this.mathlist.siblings(),this.config)),!1},_i.prototype.speakAll_=function(){return this._speak(ge.toSpeakableText(this.mathlist.root,this.config)),!1},_i.prototype.speakAllWithSynchronizedHighlighting_=function(){window.mathlive.readAloudMathField=this,this._render({forHighlighting:!0});const t=this.config;t.textToSpeechMarkup=window.sre&&"sre"===t.textToSpeechRules?"ssml_step":"ssml";const e=ge.toSpeakableText(this.mathlist.root,t);return this._speakWithSynchronizedHighlighting(e),!1};var zi={MathField:_i};function qi(t,e,s){let i=s,a=0;const o=t.length;for(;i<e.length;){const s=e[i];if(a<=0&&e.slice(i,i+o)===t)return i;"\\"===s?i++:"{"===s?a++:"}"===s&&a--,i++}return-1}function Ii(t,e,s,i){const a=[];for(let o=0;o<t.length;o++)if("text"===t[o].type){const n=t[o].data;let r,l=!0,c=0;-1!==(r=n.indexOf(e))&&((c=r)>0&&a.push({type:"text",data:n.slice(0,c)}),l=!1);let h=!1;for(;!h;){if(l){if(-1===(r=n.indexOf(e,c))){h=!0;break}c!==r&&a.push({type:"text",data:n.slice(c,r)}),c=r}else{if(-1===(r=qi(s,n,c+e.length))){h=!0;break}a.push({type:"math",data:n.slice(c+e.length,r),rawData:n.slice(c,r+s.length),mathstyle:i}),c=r+s.length}l=!l}c<n.length&&a.push({type:"text",data:n.slice(c)})}else a.push(t[o]);return a}function Bi(t,e){let s=[{type:"text",data:t}];for(let t=0;t<e.inline.length;t++){const i=e.inline[t];s=Ii(s,i[0],i[1],"textstyle")}for(let t=0;t<e.display.length;t++){const i=e.display[t];s=Ii(s,i[0],i[1],"displaystyle")}return s}function Pi(t,e,s,i){const a=function(t,e,s,i){let a=document.createElement("span");a.setAttribute("aria-hidden","true"),e.preserveOriginalContent&&(a.setAttribute("data-"+e.namespace+"original-content",t),s&&a.setAttribute("data-"+e.namespace+"original-mathstyle",s));try{a.innerHTML=e.renderToMarkup(t,s||"displaystyle","html",e.macros)}catch(e){if(!i)return null;a=document.createTextNode(t)}return a}(t,s,e,i);if(a&&/\b(mathml|speakable-text)\b/i.test(s.renderAccessibleContent)){const e=document.createDocumentFragment();if(/\bmathml\b/i.test(s.renderAccessibleContent)&&s.renderToMathML&&e.appendChild(function(t,e){const s=document.createElement("span");try{s.innerHTML="<math xmlns='http://www.w3.org/1998/Math/MathML'>"+e.renderToMathML(t,e)+"</math>"}catch(e){s.textContent=t}return s.className="sr-only",s}(t,s)),/\bspeakable-text\b/i.test(s.renderAccessibleContent)&&s.renderToSpeakableText){const i=document.createElement("span");i.innerHTML=s.renderToSpeakableText(t,s),i.className="sr-only",e.appendChild(i)}return e.appendChild(a),e}return a}function Ri(t,e){let s=null;if(e.TeX.processEnvironments&&/^\s*\\begin/.test(t))(s=document.createDocumentFragment()).appendChild(Pi(t,void 0,e,!0));else{const i=Bi(t,e.TeX.delimiters);if(1===i.length&&"text"===i[0].type)return null;s=document.createDocumentFragment();for(let t=0;t<i.length;t++)"text"===i[t].type?s.appendChild(document.createTextNode(i[t].data)):s.appendChild(Pi(i[t].data,i[t].mathstyle,e,!0))}return s}const Oi={namespace:"",skipTags:["noscript","style","textarea","pre","code","annotation","annotation-xml"],processScriptType:"math/tex",ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",preserveOriginalContent:!0,renderAccessibleContent:"mathml",TeX:{disabled:!1,processEnvironments:!0,delimiters:{inline:[["\\(","\\)"]],display:[["$$","$$"],["\\[","\\]"]]}}};var Ki={renderMathInElement:function(t,e){try{if((e=Object.assign({},Oi,e)).ignoreClassPattern=new RegExp(e.ignoreClass),e.processClassPattern=new RegExp(e.processClass),e.processScriptTypePattern=new RegExp(e.processScriptType),e.macros=Nt.MACROS,e.namespace){if(!/^[a-z]+[-]?$/.test(e.namespace))throw Error("options.namespace must be a string of lowercase characters only");/-$/.test(e.namespace)||(e.namespace+="-")}!function t(e,s){const i=e.getAttribute("data-"+s.namespace+"original-content");if(i){const t=Pi(i,e.getAttribute("data-"+s.namespace+"mathstyle"),s,!1);null!=t&&(e.textContent="",e.appendChild(t))}else{if(1===e.childNodes.length&&3===e.childNodes[0].nodeType){const t=e.childNodes[0].textContent;if(s.TeX.processEnvironments&&/^\s*\\begin/.test(t))return e.textContent="",void e.appendChild(Pi(t,void 0,s,!0));const i=Bi(t,s.TeX.delimiters);if(1===i.length&&"math"===i[0].type)return e.textContent="",void e.appendChild(Pi(i[0].data,i[0].mathstyle,s,!0));if(1===i.length&&"text"===i[0].type)return}for(let i=0;i<e.childNodes.length;i++){const a=e.childNodes[i];if(3===a.nodeType){const t=Ri(a.textContent,s);t&&(i+=t.childNodes.length-1,e.replaceChild(t,a))}else if(1===a.nodeType){const e=a.nodeName.toLowerCase();if("script"===e&&s.processScriptTypePattern.test(a.type)){let t="displaystyle";for(const e of a.type.split(";")){const s=e.split("=");"mode"===s[0].toLowerCase()&&(t="display"===s[1].toLoweCase()?"displaystyle":"textstyle")}const e=Pi(a.textContent,t,s,!0);a.parentNode.replaceChild(e,a)}else(s.processClassPattern.test(a.className)||!s.skipTags.includes(e)&&!s.ignoreClassPattern.test(a.className))&&t(a,s)}}}}(t,e)}catch(t){Error}}};function Ni(t,e,s,i){e=e||"displaystyle";const a=x.tokenize(t),o=Ce.parseTokens(a,"math",null,i);if("mathlist"===s)return o;let n=ge.decompose({mathstyle:e},o);if(n=ot.coalesce(n),"span"===s)return n;const r=ot.makeSpan(n,"ML__base"),l=ot.makeSpan("","ML__strut");l.setStyle("height",r.height,"em");const c=[l];if(0!==r.depth){const t=ot.makeSpan("","ML__strut--bottom");t.setStyle("height",r.height+r.depth,"em"),t.setStyle("vertical-align",-r.depth,"em"),c.push(t)}return c.push(r),ot.makeSpan(c,"ML__mathlive").toMarkup()}function $i(t,e){if(!ge.toMathML)return"";(e=e||{}).macros=e.macros||{},Object.assign(e.macros,Nt.MACROS);const s=Ce.parseTokens(x.tokenize(t),"math",null,e.macros);return ge.toMathML(s,e)}function Wi(t,e){if(!ge.toSpeakableText)return"";(e=e||{}).macros=e.macros||{},Object.assign(e.macros,Nt.MACROS);const s=Ce.parseTokens(x.tokenize(t),"math",null,e.macros);return ge.toSpeakableText(s,e)}function Vi(t,e){if(!e&&window&&window.mathlive&&(e=window.mathlive.config),(e=e||{}).speechEngine&&"local"!==e.speechEngine)if("amazon"===e.speechEngine)if(window&&window.AWS){const s=new window.AWS.Polly({apiVersion:"2016-06-10"}),i={OutputFormat:"mp3",VoiceId:e.speechEngineVoice||"Joanna",Text:t,TextType:"ssml"};s.synthesizeSpeech(i,function(t,e){if(t);else if(e&&e.AudioStream){const t=new Uint8Array(e.AudioStream),s=new Blob([t.buffer],{type:"audio/mpeg"}),i=URL.createObjectURL(s);new Audio(i).play().catch(t=>void 0)}})}else;else e.speechEngine;else{const e=new SpeechSynthesisUtterance(t);window&&window.speechSynthesis.speak(e)}}function Hi(t,e,s){if(!window)return;if(!s&&window.mathlive&&(s=window.mathlive.config),"amazon"!==(s=s||{}).speechEngine)return void(s.handleSpeak&&s.handleSpeak(e));if(!window.AWS)return;const i=new window.AWS.Polly({apiVersion:"2016-06-10"}),a={OutputFormat:"json",VoiceId:s.speechEngineVoice||"Joanna",Text:e,TextType:"ssml",SpeechMarkTypes:["ssml"]};window.mathlive=window.mathlive||{},window.mathlive.readAloudElement=t;const o=s.onReadAloudStatus||window.mathlive.onReadAloudStatus;i.synthesizeSpeech(a,function(t,e){if(t);else if(e&&e.AudioStream){const t=new TextDecoder("utf-8").decode(new Uint8Array(e.AudioStream));window.mathlive.readAloudMarks=t.split("\n").map(t=>t?JSON.parse(t):{}),window.mathlive.readAloudTokens=[];for(const t of window.mathlive.readAloudMarks)t.value&&window.mathlive.readAloudTokens.push(t.value);window.mathlive.readAloudCurrentMark="",a.OutputFormat="mp3",a.SpeechMarkTypes=[],i.synthesizeSpeech(a,function(t,e){if(t);else if(e&&e.AudioStream){const t=new Uint8Array(e.AudioStream),s=new Blob([t.buffer],{type:"audio/mpeg"}),i=URL.createObjectURL(s);window.mathlive.readAloudAudio?window.mathlive.readAloudAudio.pause():(window.mathlive.readAloudAudio=new Audio,window.mathlive.readAloudAudio.addEventListener("ended",()=>{o&&o(window.mathlive.readAloudMathField,"ended"),window.mathlive.readAloudMathField?(window.mathlive.readAloudMathField._render(),window.mathlive.readAloudElement=null,window.mathlive.readAloudMathField=null,window.mathlive.readAloudTokens=[],window.mathlive.readAloudMarks=[],window.mathlive.readAloudCurrentMark=""):function t(e){e.classList.remove("highlight"),e.children&&Array.from(e.children).forEach(e=>{t(e)})}(window.mathlive.readAloudElement)}),window.mathlive.readAloudAudio.addEventListener("timeupdate",()=>{let t="";const e=1e3*window.mathlive.readAloudAudio.currentTime+100;for(const s of window.mathlive.readAloudMarks)s.time<e&&(t=s.value);window.mathlive.readAloudCurrentMark!==t&&(window.mathlive.readAloudCurrentToken=t,t&&t===window.mathlive.readAloudFinalToken?window.mathlive.readAloudAudio.pause():(window.mathlive.readAloudCurrentMark=t,function 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zi.MathField?t.originalContent:(ji(e=e||{}),t.getAttribute("data-"+(e.namespace||"")+"original-content"))},readAloud:Hi,readAloudStatus:function(){return window?(window.mathlive=window.mathlive||{},window.mathlive.readAloudAudio?window.mathlive.readAloudAudio.paused?"paused":window.mathlive.readAloudAudio.ended?"ready":"playing":"ready"):"unavailable"},pauseReadAloud:function(){window&&(window.mathlive=window.mathlive||{},window.mathlive.readAloudAudio&&(window.mathlive.onReadAloudStatus&&window.mathlive.onReadAloudStatus(window.mathlive.readAloudMathField,"paused"),window.mathlive.readAloudAudio.pause()))},resumeReadAloud:function(){window&&(window.mathlive=window.mathlive||{},window.mathlive.readAloudAudio&&(window.mathlive.onReadAloudStatus&&window.mathlive.onReadAloudStatus(window.mathlive.readAloudMathField,"playing"),window.mathlive.readAloudAudio.play()))},playReadAloud:function(t,e){if(window&&(window.mathlive=window.mathlive||{},window.mathlive.readAloudAudio)){let s=0;if(window.mathlive.readAloudFinalToken=null,t){window.mathlive.readAloudMarks=window.mathlive.readAloudMarks||[];for(const e of window.mathlive.readAloudMarks)e.value===t&&(s=e.time/1e3);let i=window.mathlive.readAloudTokens.indexOf(t);i>=0&&(i+=e)<window.mathlive.readAloudTokens.length&&(window.mathlive.readAloudFinalToken=i)}window.mathlive.readAloudAudio.currentTime=s,window.mathlive.onReadAloudStatus&&window.mathlive.onReadAloudStatus(window.mathlive.readAloudMathField,"playing"),window.mathlive.readAloudAudio.play()}}}},"object"==typeof exports&&"undefined"!=typeof module?module.exports=factory():"function"==typeof define&&define.amd?define(factory):(global=global||self).MathLive=factory();
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y=e.size===$.DISPLAY.size?e.metrics.delim1:e.metrics.delim2,g=ae.makeCustomSizedDelim("mopen",this.leftDelim,y,!0,t.clone({mathstyle:e})),b=ae.makeCustomSizedDelim("mclose",this.rightDelim,y,!0,t.clone({mathstyle:e}));g.applyStyle(this.getStyle()),b.applyStyle(this.getStyle());const x=ne([g,f,b],t.parentSize!==t.size?"sizing reset-"+t.parentSize+" "+t.size:"genfrac");return this.bind(t,x)}decomposeLeftright(t){if(!this.body)return this.leftDelim?new de("math","mopen",this.leftDelim).decompose(t):this.rightDelim?new de("math","mclose",this.rightDelim).decompose(t):null;const e=t.clone(),s=ye(e,this.body),i=e.mathstyle;let a=0,o=0,n=[];if(a=ot.height(s)*i.sizeMultiplier,o=ot.depth(s)*i.sizeMultiplier,this.leftDelim&&(n.push(ae.makeLeftRightDelim("mopen",this.leftDelim,a,o,e)),n[n.length-1].applyStyle(this.getStyle())),s){for(let t=0;t<s.length;t++)if(s[t].delim){const i=s[t].caret,n=/ML__selected/.test(s[t].classes);s[t]=ae.makeLeftRightDelim("minner",s[t].delim,a,o,e),s[t].caret=i,s[t].selected(n)}n=n.concat(s)}if(this.rightDelim){let t=this.rightDelim;"?"===t&&(t=(t={"(":")","\\{":"\\}","\\[":"\\]","\\lbrace":"\\rbrace","\\langle":"\\rangle","\\lfloor":"\\rfloor","\\lceil":"\\rceil","\\vert":"\\vert","\\lvert":"\\rvert","\\Vert":"\\Vert","\\lVert":"\\rVert","\\lbrack":"\\rbrack","\\ulcorner":"\\urcorner","\\llcorner":"\\lrcorner","\\lgroup":"\\rgroup","\\lmoustache":"\\rmoustache"}[this.leftDelim])||this.leftDelim,e.opacity=.5),n.push(ae.makeLeftRightDelim("mclose",t,a,o,e)),n[n.length-1].applyStyle(this.getStyle())}return this.inner?re(n,i.cls()):n}decomposeSurd(t){const e=t.mathstyle,s=ye(t.cramp(),this.body),i=S.defaultRuleThickness/e.sizeMultiplier;let a=i;e.id<$.TEXT.id&&(a=e.metrics.xHeight);let o=i+a/4;const n=(ot.height(s)+ot.depth(s))*e.sizeMultiplier+(o+i),r=oe(ae.makeCustomSizedDelim("","\\surd",n,!1,t),"sqrt-sign");r.applyStyle(this.getStyle());const l=r.height+r.depth-i;l>ot.height(s)+ot.depth(s)+o&&(o=(o+l-ot.height(s)-ot.depth(s))/2),r.setTop(r.height-ot.height(s)-(o+i));const c=oe("",t.mathstyle.adjustTo($.TEXT)+" sqrt-line");let h;if(c.applyStyle(this.getStyle()),c.height=i,h=0===ot.height(s)&&0===ot.depth(s)?oe():ce(t,[s,o,c,i]),!this.index)return this.bind(t,ne([r,h],"sqrt"));const p=t.clone({mathstyle:$.SCRIPTSCRIPT}),d=oe(ye(p,this.index),e.adjustTo($.SCRIPTSCRIPT)),m=Math.max(r.height,h.height),u=Math.max(r.depth,h.depth),f=ce(t,[d],"shift",-(.6*(m-u)));return this.bind(t,ne([oe(f,"root"),r,h],"sqrt"))}decomposeAccent(t){const e=t.mathstyle;let s=ye(t.cramp(),this.body);(this.superscript||this.subscript)&&(s=this.attachSupsub(t,ne(s),"mord"));let i=0;Array.isArray(this.body)&&1===this.body.length&&this.body[0].isCharacterBox()&&(i=ot.skew(s));const a=Math.min(ot.height(s),e.metrics.xHeight),o=ot.makeSymbol("Main-Regular",this.accent,"math");o.italic=0;const n="⃗"===this.accent?" accent-vec":"";let r=oe(oe(o),"accent-body"+n);return(r=ce(t,[s,-a,r])).children[1].setLeft(2*i),ne(r,"accent")}decomposeLine(t){const e=t.mathstyle,s=ye(t.cramp(),this.body),i=S.defaultRuleThickness/e.sizeMultiplier,a=oe("",t.mathstyle.adjustTo($.TEXT)+" "+this.position+"-line");let o;if(a.height=i,a.maxFontSize=1,"overline"===this.position)o=ce(t,[s,3*i,a,i]);else{const e=oe(s);o=ce(t,[i,a,3*i,e],"top",ot.height(e))}return ne(o,this.position)}decomposeOverunder(t){const e=ye(t,this.body),s=t.clone({mathstyle:"scriptstyle"}),i=this.overscript?oe(ye(s,this.overscript),t.mathstyle.adjustTo(s.mathstyle)):null,a=this.underscript?oe(ye(s,this.underscript),t.mathstyle.adjustTo(s.mathstyle)):null;return fe(t,e,0,0,i,a,this.mathtype||"mrel")}decomposeOverlap(t){const e=oe(ye(t,this.body),"inner");return ne([e,oe("","fix")],"left"===this.align?"llap":"rlap")}decomposeRule(t){const e=t.mathstyle,s=ne("","rule");let i=this.shift&&!isNaN(this.shift)?this.shift:0;i/=e.sizeMultiplier;const a=this.width/e.sizeMultiplier,o=this.height/e.sizeMultiplier;return s.setStyle("border-right-width",a,"em"),s.setStyle("border-top-width",o,"em"),s.setStyle("margin-top",-(o-i),"em"),s.setStyle("border-color",t.color),s.width=a,s.height=o+i,s.depth=-i,s}decomposeOp(t){const e=t.mathstyle;let s,i=!1;e.size===$.DISPLAY.size&&"string"==typeof this.body&&"\\smallint"!==this.body&&(i=!0);let a=0,o=0;if(this.symbol){const n=i?"Size2-Regular":"Size1-Regular";(s=ot.makeSymbol(n,this.body,"op-symbol "+(i?"large-op":"small-op"))).type="mop",a=(s.height-s.depth)/2-e.metrics.axisHeight*e.sizeMultiplier,o=s.italic,this.bind(t,s)}else Array.isArray(this.body)?(s=ot.makeOp(ye(t,this.body)),this.bind(t,s)):s=this.makeSpan(t,this.body);if(this.superscript||this.subscript){const i=this.limits||"auto";return this.alwaysHandleSupSub||"limits"===i||"auto"===i&&e.size===$.DISPLAY.size?this.attachLimits(t,s,a,o):this.attachSupsub(t,s,"mop")}return this.symbol&&s.setTop(a),s}applySizing(t){const e={size1:.5,size2:.7,size3:.8,size4:.9,size5:1,size6:1.2,size7:1.44,size8:1.73,size9:2.07,size10:2.49}[this.size]*t.mathstyle.sizeMultiplier;t.size=this.size,t.sizeMultiplier=e}decomposeBox(t){const e=ne(ye(t,this.body));e.setStyle("position","relative");const s=ne(e),i=this.padding?this.padding:S.fboxsep;return s.setStyle("padding",i,"em"),this.backgroundcolor&&s.setStyle("background-color",this.backgroundcolor),this.framecolor&&s.setStyle("border",S.fboxrule+"em solid "+this.framecolor),this.border&&s.setStyle("border",this.border),s.height=e.height,s.depth=e.depth,s.setStyle("position","relative"),s.setStyle("height",s.height+s.depth,"em"),this.bind(t,s)}decomposeEnclose(t){const e=ne(ye(t,this.body)),s="auto"===this.padding?.2:this.padding;e.setStyle("padding",s,"em"),e.setStyle("display","inline-block"),e.setStyle("height",e.height+e.depth,"em"),e.setStyle("left",-s,"em"),this.backgroundcolor&&"transparent"!==this.backgroundcolor&&e.setStyle("background-color",this.backgroundcolor);let i="";if(this.notation.box&&e.setStyle("border",this.borderStyle),this.notation.actuarial&&(e.setStyle("border-top",this.borderStyle),e.setStyle("border-right",this.borderStyle)),this.notation.madruwb&&(e.setStyle("border-bottom",this.borderStyle),e.setStyle("border-right",this.borderStyle)),this.notation.roundedbox&&(e.setStyle("border-radius",(ot.height(e)+ot.depth(e))/2,"em"),e.setStyle("border",this.borderStyle)),this.notation.circle&&(e.setStyle("border-radius","50%"),e.setStyle("border",this.borderStyle)),this.notation.top&&e.setStyle("border-top",this.borderStyle),this.notation.left&&e.setStyle("border-left",this.borderStyle),this.notation.right&&e.setStyle("border-right",this.borderStyle),this.notation.bottom&&e.setStyle("border-bottom",this.borderStyle),this.notation.horizontalstrike&&(i+='<line x1="3%"  y1="50%" x2="97%" y2="50%"',i+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,i+=' stroke-linecap="round"',this.svgStrokeStyle&&(i+=` stroke-dasharray="${this.svgStrokeStyle}"`),i+="/>"),this.notation.verticalstrike&&(i+='<line x1="50%"  y1="3%" x2="50%" y2="97%"',i+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,i+=' stroke-linecap="round"',this.svgStrokeStyle&&(i+=` stroke-dasharray="${this.svgStrokeStyle}"`),i+="/>"),this.notation.updiagonalstrike&&(i+='<line x1="3%"  y1="97%" x2="97%" y2="3%"',i+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,i+=' stroke-linecap="round"',this.svgStrokeStyle&&(i+=` stroke-dasharray="${this.svgStrokeStyle}"`),i+="/>"),this.notation.downdiagonalstrike&&(i+='<line x1="3%"  y1="3%" x2="97%" y2="97%"',i+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,i+=' stroke-linecap="round"',this.svgStrokeStyle&&(i+=` stroke-dasharray="${this.svgStrokeStyle}"`),i+="/>"),i){let t;return"none"!==this.shadow&&(t="auto"===this.shadow?"filter: drop-shadow(0 0 .5px rgba(255, 255, 255, .7)) drop-shadow(1px 1px 2px #333)":"filter: drop-shadow("+this.shadow+")"),ot.makeSVG(e,i,t)}return e}decompose(t,e){let s=null;if(!this.type||/mord|minner|mbin|mrel|mpunct|mopen|mclose|textord/.test(this.type))(s="string"==typeof this.body?this.makeSpan(t,this.body):this.makeSpan(t,ye(t,this.body))).type=this.type;else if("group"===this.type||"root"===this.type)s=this.decomposeGroup(t);else if("array"===this.type)s=this.decomposeArray(t);else if("genfrac"===this.type)s=this.decomposeGenfrac(t);else if("surd"===this.type)s=this.decomposeSurd(t);else if("accent"===this.type)s=this.decomposeAccent(t);else if("leftright"===this.type)s=this.decomposeLeftright(t);else if("delim"===this.type)(s=oe("","")).delim=this.delim;else if("sizeddelim"===this.type)s=this.bind(t,ae.makeSizedDelim(this.cls,this.delim,this.size,t));else if("line"===this.type)s=this.decomposeLine(t);else if("overunder"===this.type)s=this.decomposeOverunder(t);else if("overlap"===this.type)s=this.decomposeOverlap(t);else if("rule"===this.type)s=this.decomposeRule(t);else if("styling"===this.type);else if("msubsup"===this.type)s=ne("​"),e&&(s.height=e[0].height,s.depth=e[0].depth);else if("mop"===this.type)s=this.decomposeOp(t);else if("space"===this.type)s=this.makeSpan(t," ");else if("spacing"===this.type)if("​"===this.body)s=this.makeSpan(t,"​");else if(" "===this.body)s="math"===this.mode?this.makeSpan(t," "):this.makeSpan(t," ");else if(this.width)s=oe("​","mspace "),this.width>0?s.setWidth(this.width):s.setStyle("margin-left",this.width,"em");else{const t={qquad:"qquad",quad:"quad",enspace:"enspace",";":"thickspace",":":"mediumspace",",":"thinspace","!":"negativethinspace"}[this.body]||"quad";s=oe("​","mspace 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i=t.mathstyle;let a=null,o=null;if(this.superscript){const e=ye(t.sup(),this.superscript);a=oe(e,i.adjustTo(i.sup()))}if(this.subscript){const e=ye(t.sub(),this.subscript);o=oe(e,i.adjustTo(i.sub()))}let n,r=0,l=0;this.isCharacterBox()||(r=ot.height(e)-i.metrics.supDrop,l=ot.depth(e)+i.metrics.subDrop),n=i===$.DISPLAY?i.metrics.sup1:i.cramped?i.metrics.sup3:i.metrics.sup2;const c=$.TEXT.sizeMultiplier*i.sizeMultiplier,h=.5/S.ptPerEm/c;let p=null;if(o&&a){r=Math.max(r,n,a.depth+.25*i.metrics.xHeight),l=Math.max(l,i.metrics.sub2);const s=S.defaultRuleThickness;if(r-ot.depth(a)-(ot.height(o)-l)<4*s){l=4*s-(r-a.depth)+ot.height(o);const t=.8*i.metrics.xHeight-(r-ot.depth(a));t>0&&(r+=t,l-=t)}p=ce(t,[o,l,a,-r],"individualShift"),this.symbol&&p.children[0].setLeft(-ot.italic(e))}else o&&!a?(l=Math.max(l,i.metrics.sub1,ot.height(o)-.8*i.metrics.xHeight),(p=ce(t,[o],"shift",l)).children[0].setRight(h),this.isCharacterBox()&&p.children[0].setLeft(-ot.italic(e))):!o&&a&&(r=Math.max(r,n,a.depth+.25*i.metrics.xHeight),(p=ce(t,[a],"shift",-r)).children[0].setRight(h));const d=oe(p,"msubsup");return this.caret&&(d.caret=this.caret),ot.makeSpanOfType(s,[e,d])}attachLimits(t,e,s,i){const a=this.superscript?oe(ye(t.sup(),this.superscript),t.mathstyle.adjustTo(t.mathstyle.sup())):null,o=this.subscript?oe(ye(t.sub(),this.subscript),t.mathstyle.adjustTo(t.mathstyle.sub())):null;return fe(t,e,s,i,a,o,"mop")}bind(t,e){return"first"!==this.type&&"​"!==this.body&&(this.id=function(t){let e;"boolean"==typeof t.generateID&&t.generateID?e=Date.now().toString(36).slice(-2)+Math.floor(1e5*Math.random()).toString(36):"boolean"!=typeof t.generateID&&(t.generateID.overrideID?e=t.generateID.overrideID:(e=t.generateID.seed.toString(36),t.generateID.seed+=1));return e}(t),this.id&&(e.attributes||(e.attributes={}),e.attributes["data-atom-id"]=this.id)),e}makeSpan(t,e){const s="textord"===this.type?"mord":this.type,i=ot.makeSpanOfType(s,e);return i.applyStyle(this.getStyle()),t.parentSize!==t.size&&(i.classes+=" sizing reset-"+t.parentSize,i.classes+=" "+t.size),"text"===this.mode&&(i.classes+=" ML__text"),t.mathstyle.isTight()&&(i.isTight=!0),"math"!==this.mode&&(i.italic=0),i.setRight(i.italic),"number"==typeof t.opacity&&i.setStyle("opacity",t.opacity),this.bind(t,i),this.caret&&(this.superscript||this.subscript||(i.caret=this.caret,t.mathstyle.isTight()&&(i.isTight=!0))),i}}function me(t){const e=oe("​","arraycolsep");return e.setWidth(t,"em"),e}function ue(t,e,s,i){const a=[];for(const o of e){const e=oe(ye(t,i));e.depth=o.depth,e.height=o.height,a.push(e),a.push(o.pos-s)}return ce(t,a,"individualShift")}function fe(t,e,s,i,a,o,n){if(!a&&!o)return e;e=oe(e);let r=0,l=0;a&&(r=Math.max(S.bigOpSpacing1,S.bigOpSpacing3-a.depth)),o&&(l=Math.max(S.bigOpSpacing2,S.bigOpSpacing4-o.height));let c=null;if(o&&a){const n=S.bigOpSpacing5+ot.height(o)+ot.depth(o)+l+ot.depth(e)+s;(c=ce(t,[S.bigOpSpacing5,o,l,e,r,a,S.bigOpSpacing5],"bottom",n)).children[0].setLeft(-i),c.children[2].setLeft(i)}else if(o&&!a){const a=ot.height(e)-s;(c=ce(t,[S.bigOpSpacing5,o,l,e],"top",a)).children[0].setLeft(-i)}else if(!o&&a){const o=ot.depth(e)+s;(c=ce(t,[e,r,a,S.bigOpSpacing5],"bottom",o)).children[1].setLeft(i)}return ot.makeSpanOfType(n,c,"op-limits")}function ye(t,e){t instanceof V.Context||(t=new V.Context(t));const s=!t.generateID||!t.generateID.groupNumbers;let i=[];if(Array.isArray(e)){if(0===e.length)return i;if(1===e.length)(i=e[0].decompose(t))&&s&&e[0].isSelected&&i.forEach(t=>t.selected(!0));else{let a="none",o=e[1].type,n=[],r=null,l=null;for(let c=0;c<e.length;c++){"mbin"===e[c].type&&(/first|none|mrel|mpunct|mopen|mbin|mop/.test(a)||/none|mrel|mpunct|mclose/.test(o))&&(e[c].type="mord"),"​"===e[c].body&&(e[c].superscript||e[c].subscript)||(l=null),t.generateID.groupNumbers&&r&&"mord"===e[c].type&&/[0-9,.]/.test(e[c].latex)&&(t.generateID.overrideID=r);const h=e[c].decompose(t,l);if(t.generateID&&(t.generateID.overrideID=null),h){const a=[].concat.apply([],h);l=a,t.generateID&&t.generateID.groupNumbers&&("mord"===e[c].type&&/[0-9,.]/.test(e[c].latex)&&(r||(r=e[c].id)),("mord"!==e[c].type||/[0-9,.]/.test(e[c].latex)||e[c].superscript||e[c].subscript)&&r&&(r=null)),s&&e[c].isSelected?(n=n.concat(a)).forEach(t=>t.selected(!0)):(n.length>0&&(i=[...i,...n],n=[]),i=i.concat(a))}a=e[c].getFinalBaseElement().type,o=e[c+1]?e[c+1].getInitialBaseElement().type:"none"}n.length>0&&(i=[...i,...n],n=[])}}else e&&(i=e.decompose(t))&&s&&e.isSelected&&i.forEach(t=>t.selected(!0));if(!i||0===i.length)return null;const a={size1:.5,size2:.7,size3:.8,size4:.9,size5:1,size6:1.2,size7:1.44,size8:1.73,size9:2.07,size10:2.49};if(t.mathstyle!==t.parentMathstyle){const e=t.mathstyle.sizeMultiplier/t.parentMathstyle.sizeMultiplier;for(const t of i)t.height*=e,t.depth*=e}if(t.size!==t.parentSize){const e=a[t.size]/a[t.parentSize];for(const t of i)t.height*=e,t.depth*=e}return i}var ge={MathAtom:de,decompose:ye,makeRoot:function(t,e){const s=new de(t=t||"math","root");return s.body=e||[],0!==s.body.length&&"first"===s.body[0].type||s.body.unshift(new de("","first")),s},GREEK_REGEX:he};const be={m0:"#3f3d99",m1:"#993d71",m2:"#998b3d",m3:"#3d9956",m4:"#3d5a99",m5:"#993d90",m6:"#996d3d",m7:"#43993d",m8:"#3d7999",m9:"#843d99"},xe={apricot:"#FBB982",aquamarine:"#00B5BE",bittersweet:"#C04F17",black:"#221E1F",blue:"#2D2F92",bluegreen:"#00B3B8",blueviolet:"#473992",brickred:"#B6321C",brown:"#792500",burntorange:"#F7921D",cadetblue:"#74729A",carnationpink:"#F282B4",cerulean:"#00A2E3",cornflowerblue:"#41B0E4",cyan:"#00AEEF",dandelion:"#FDBC42",darkorchid:"#A4538A",emerald:"#00A99D",forestgreen:"#009B55",fuchsia:"#8C368C",goldenrod:"#FFDF42",gray:"#949698",green:"#00A64F",greenyellow:"#DFE674",junglegreen:"#00A99A",lavender:"#F49EC4",limegreen:"#8DC73E",magenta:"#EC008C",mahogany:"#A9341F",maroon:"#AF3235",melon:"#F89E7B",midnightblue:"#006795",mulberry:"#A93C93",navyblue:"#006EB8",olivegreen:"#3C8031",orange:"#F58137",orangered:"#ED135A",orchid:"#AF72B0",peach:"#F7965A",periwinkle:"#7977B8",pinegreen:"#008B72",plum:"#92268F",processblue:"#00B0F0",purple:"#99479B",rawsienna:"#974006",red:"#ED1B23",redorange:"#F26035",redviolet:"#A1246B",rhodamine:"#EF559F",royalblue:"#0071BC",royalpurple:"#613F99",rubinered:"#ED017D",salmon:"#F69289",seagreen:"#3FBC9D",sepia:"#671800",skyblue:"#46C5DD",springgreen:"#C6DC67",tan:"#DA9D76",tealblue:"#00AEB3",thistle:"#D883B7",turquoise:"#00B4CE",violet:"#58429B",violetred:"#EF58A0",white:"#FFFFFF",wildstrawberry:"#EE2967",yellow:"#FFF200",yellowgreen:"#98CC70",yelloworange:"#FAA21A"};var ke={stringToColor:function(t){const e=t.toLowerCase().split("!");let s,i,a,o=255,n=255,r=255,l=-1;const c=e.length>0&&"-"===e[0].charAt(0);c&&(e[0]=e[0].slice(1));for(let t=0;t<e.length;t++){s=o,i=n,a=r;let c=e[t].match(/([a-z0-9]*)/);c&&(c=c[1]);let h=xe[c]||be[c];h||(h=e[t]);let p=h.match(/^#([0-9a-f]{2})([0-9a-f]{2})([0-9a-f]{2})$/i);if(p&&p[1]&&p[2]&&p[3])o=Math.max(0,Math.min(255,parseInt(p[1],16))),n=Math.max(0,Math.min(255,parseInt(p[2],16))),r=Math.max(0,Math.min(255,parseInt(p[3],16)));else if((p=h.match(/^#([0-9a-f]{3})$/i))&&p[1]){const t=parseInt(p[1][0],16),e=parseInt(p[1][1],16),s=parseInt(p[1][2],16);o=Math.max(0,Math.min(255,16*t+t)),n=Math.max(0,Math.min(255,16*e+e)),r=Math.max(0,Math.min(255,16*s+s))}else{if(!((p=h.match(/^rgb\s*\(\s*(\d+)\s*,\s*(\d+)\s*,\s*(\d+)\s*\)$/i))&&p[1]&&p[2]&&p[3]))return null;o=Math.max(0,Math.min(255,parseInt(p[1]))),n=Math.max(0,Math.min(255,parseInt(p[2]))),r=Math.max(0,Math.min(255,parseInt(p[3])))}l>=0&&(o=(1-l)*o+l*s,n=(1-l)*n+l*i,r=(1-l)*r+l*a,l=-1),t+1<e.length&&(l=Math.max(0,Math.min(100,parseInt(e[++t])))/100)}return l>=0&&(o=l*o+(1-l)*s,n=l*n+(1-l)*i,r=l*r+(1-l)*a),c&&(o=255-o,n=255-n,r=255-r),"#"+("00"+Math.round(o).toString(16)).slice(-2)+("00"+Math.round(n).toString(16)).slice(-2)+("00"+Math.round(r).toString(16)).slice(-2)},colorToString:function(t){let e=t.toUpperCase();for(const t in xe)if(xe[t]===e){e=t;break}for(const t in be)if(be[t]===e){e=t;break}return e},AREA_COLORS:["#d35d60","#7293cb","#e1974d","#84bb5d","#9066a7","#aD6a58","#f5a4ce","#fff590","#212121","#818787","#d4d5d2","#ffffff"],LINE_COLORS:["#cc2428","#3769b1","#da7e30","#409852","#6b4c9a","#922426","#e7298a","#ffe907","#000000","#525055","#adafaa","#ffffff"]};const ve=ge.MathAtom;class we{constructor(t,e,s){this.tokens=t,this.index=0,this.args=e,this.macros=s,this.mathList=[],this.style={},this.parseMode="math",this.tabularMode=!1,this.endCount=0}swapMathList(t){const e=this.mathList;return this.mathList=t||[],e}swapParseMode(t){const e=this.parseMode;return this.parseMode=t,e}end(){return this.endCount++,this.index>=this.tokens.length||this.endCount>1e3}get(){return this.endCount=0,this.index<this.tokens.length?this.tokens[this.index++]:null}peek(t){const e=this.index+(t||0);return e<this.tokens.length?this.tokens[e]:null}lastMathAtom(){const t=0===this.mathList.length?"none":this.mathList[this.mathList.length-1].type;if("mop"!==t&&"msubsup"!==t){const t=new ve(this.parseMode,"msubsup","​");t.attributes={"aria-hidden":!0},this.mathList.push(t)}return this.mathList[this.mathList.length-1]}hasToken(t){const e=this.index;return e<this.tokens.length&&this.tokens[e].type===t}hasLiteral(t){const e=this.index;return e<this.tokens.length&&("literal"===this.tokens[e].type&&(!t||this.tokens[e].value===t))}hasLiteralPattern(t){return this.hasToken("literal")&&t.test(this.tokens[this.index].value)}hasCommand(t){const e=this.index;return e<this.tokens.length&&("command"===this.tokens[e].type&&this.tokens[e].value===t)}hasInfixCommand(){const t=this.index;if(t<this.tokens.length&&"command"===this.tokens[t].type){const e=Nt.getInfo("\\"+this.tokens[t].value,this.parseMode,this.macros);return e&&e.infix}return!1}hasColumnSeparator(){const t=this.index;return!!(this.tabularMode&&t<this.tokens.length)&&("literal"===this.tokens[t].type&&"&"===this.tokens[t].value)}hasRowSeparator(){const t=this.index;return!!(this.tabularMode&&t<this.tokens.length)&&("command"===this.tokens[t].type&&("\\"===this.tokens[t].value||"cr"===this.tokens[t].value))}parseColumnSeparator(){return!!this.hasColumnSeparator()&&(this.index++,!0)}placeholder(){return this.args&&"string"==typeof this.args["?"]?Me(x.tokenize(this.args["?"]),this.parseMode,null,this.macros):[new ve(this.parseMode,"placeholder","?",this.style)]}hasImplicitCommand(t){if(this.index<this.tokens.length){const e=this.tokens[this.index];if("command"===e.type)return t.includes(e.value)}return!1}parseRowSeparator(){return!!this.hasRowSeparator()&&(this.index++,!0)}parseToken(t){return!!this.hasToken(t)&&(this.index++,!0)}skipWhitespace(){let t=!1;for(;this.hasToken("space");)this.index++,t=!0;return t}skipUntilToken(t){for(;!this.end()&&!this.parseToken(t);)this.get()}parseCommand(t){return!!this.hasCommand(t)&&(this.index++,!0)}parseLiteral(t){return!!this.hasLiteral(t)&&(this.index++,!0)}parseFiller(){let t=!1,e=!1;do{const s=this.skipWhitespace(),i=this.parseCommand("relax");t=t||s||i,e=!s&&!i}while(!e);return t}parseKeyword(t){const e=this.index;let s=this.end(),i="";for(;!s;){const e=this.get();"literal"===e.type&&(i+=e.value),s=this.end()||"literal"!==e.type||i.length>=t.length}const a=t.toUpperCase()===i.toUpperCase();return a||(this.index=e),a}scanString(){let t="",e=this.end();for(;!e;){if(this.hasLiteral("]"))e=!0;else if(this.hasToken("literal"))t+=this.get().value;else if(this.skipWhitespace())t+=" ";else if(this.hasToken("command")){const e=this.get();"space"===e.value?t+=" ":t+=e.value}else e=!0;e=e||this.end()}return t}scanColor(){return ke.stringToColor(this.scanString())}scanNumber(t){const e=this.parseLiteral("-");e||this.parseLiteral("+"),this.skipWhitespace(),t=!!t;let s=10,i=/[0-9]/;this.parseLiteral("'")?(s=8,i=/[0-7]/,t=!0):(this.parseLiteral('"')||this.parseLiteral("x"))&&(s=16,i=/[0-9A-F]/,t=!0);let a="";for(;this.hasLiteralPattern(i);)a+=this.get().value;if(!t&&(this.parseLiteral(".")||this.parseLiteral(",")))for(a+=".";this.hasLiteralPattern(i);)a+=this.get().value;const o=t?parseInt(a,s):parseFloat(a);return e?-o:o}scanDimen(){const t=this.scanNumber(!1);let e;return this.skipWhitespace(),e=this.parseKeyword("pt")?C.toEm(t,"pt"):this.parseKeyword("mm")?C.toEm(t,"mm"):this.parseKeyword("cm")?C.toEm(t,"cm"):this.parseKeyword("ex")?C.toEm(t,"ex"):this.parseKeyword("px")?C.toEm(t,"px"):this.parseKeyword("em")?C.toEm(t,"em"):this.parseKeyword("bp")?C.toEm(t,"bp"):this.parseKeyword("dd")?C.toEm(t,"dd"):this.parseKeyword("pc")?C.toEm(t,"pc"):this.parseKeyword("in")?C.toEm(t,"in"):this.parseKeyword("mu")?C.toEm(t,"mu"):C.toEm(t,"pt")}scanSkip(){const t=this.scanDimen();return this.skipWhitespace(),this.parseKeyword("plus")&&this.scanDimen(),this.skipWhitespace(),this.parseKeyword("minus")&&this.scanDimen(),t}scanColspec(){this.skipWhitespace();const t=[];for(;!this.end()&&!this.hasToken("}")&&!this.hasLiteral("]");)if(this.hasLiteral()){const e=this.get().value;if("lcr".includes(e))t.push({align:e});else if("|"===e)t.push({rule:!0});else if("@"===e){if(this.parseToken("{")){const e=this.swapParseMode("math");t.push({gap:this.scanImplicitGroup(t=>"}"===t.type)}),this.swapParseMode(e)}this.parseToken("}")}}return t}scanModeSet(){let t;if(this.parseCommand("(")&&(t=")"),!t&&this.parseCommand("[")&&(t="]"),!t)return null;const e=this.swapParseMode("math"),s=new ve("math","group");return s.mathstyle=")"===t?"textstyle":"displaystyle",s.body=this.scanImplicitGroup(e=>"command"===e.type&&e.value===t),this.parseCommand(t),this.swapParseMode(e),s.body&&0!==s.body.length?s:null}scanModeShift(){if(!this.hasToken("$")&&!this.hasToken("$$"))return null;const t=this.get().type,e=new ve("math","group");e.mathstyle="$"===t?"textstyle":"displaystyle",e.latexOpen="textstyle"===e.mathstyle?"$":"$$",e.latexClose=e.latexOpen;const s=this.swapParseMode("math");return e.body=this.scanImplicitGroup(e=>e.type===t),this.parseToken(t),this.swapParseMode(s),e.body&&0!==e.body.length?e:null}scanEnvironment(){if(!this.parseCommand("begin"))return null;const t=this.scanArg("string"),e=Nt.getEnvironmentInfo(t),s=[];if(e&&e.params)for(const t of e.params)if(t.optional){const e=this.scanOptionalArg(t.type);s.push(e)}else s.push(this.scanArg(t.type));const i=this.parseMode,a=this.tabularMode,o=this.swapMathList([]);this.tabularMode=e.tabular;const n=[],r=[];let l=[],c=!1;do{if(!(c=this.end())&&this.parseCommand("end")&&(c=this.scanArg("string")===t),!c)if(this.parseColumnSeparator())l.push(this.swapMathList([]));else if(this.parseRowSeparator()){l.push(this.swapMathList([]));let t=0;this.skipWhitespace(),this.parseLiteral("[")&&(t=this.scanDimen(),this.skipWhitespace(),this.parseLiteral("]")),r.push(t||0),n.push(l),l=[]}else this.mathList=this.mathList.concat(this.scanImplicitGroup())}while(!c);l.push(this.swapMathList([])),l.length>0&&n.push(l);const h=this.swapMathList(o);if(this.parseMode=i,this.tabularMode=a,!e.tabular&&0===h.length)return null;if(e.tabular&&0===n.length)return null;const p=new ve(this.parseMode,"array",h,e.parser?e.parser(t,s,n):{});return p.array=n,p.rowGaps=r,p.env={...e},p.env.name=t,p}scanImplicitGroup(t){const e=this.style;t||(t=(t=>"}"===t.type||"literal"===t.type&&"&"===t.value||"command"===t.type&&/^(end|cr|\\)$/.test(t.value)));let s=null,i=null;const a=this.swapMathList([]);for(;!this.end()&&!t(this.peek());)if(this.hasImplicitCommand(Se)){const t=new ve(this.parseMode,"sizing");t.size={tiny:"size1",scriptsize:"size2",footnotesize:"size3",small:"size4",normalsize:"size5",large:"size6",Large:"size7",LARGE:"size8",huge:"size9",Huge:"size10"}[this.get().value],this.mathList.push(t)}else if(this.hasImplicitCommand(Ae)){this.parseMode="math";const t=new ve("math","mathstyle");t.mathstyle=this.get().value,this.mathList.push(t)}else this.hasInfixCommand()&&!s?(s=this.get(),i=this.swapMathList([])):this.parseAtom();let o;if(s){const t=this.swapMathList(a),e=Nt.getInfo("\\"+s.value,"math",this.macros);o=e?[new ve(this.parseMode,e.type,e.value||s.value,e.parse?e.parse("\\"+s.value,[i,t]):null)]:[new ve(this.parseMode,"mop",s.value)]}else o=this.swapMathList(a);return this.style=e,o}scanGroup(){if(!this.parseToken("{"))return null;const t=new ve(this.parseMode,"group");return t.body=this.scanImplicitGroup(t=>"}"===t.type),this.parseToken("}"),t}scanSmartFence(){if(this.skipWhitespace(),!this.parseLiteral("("))return null;const t=new ve(this.parseMode,"leftright");t.leftDelim="(",t.inner=!1;const e=this.swapMathList([]);let s=1;for(;!this.end()&&0!==s;)this.hasLiteral("(")&&(s+=1),this.hasLiteral(")")&&(s-=1),0!==s&&this.parseAtom();return 0===s&&this.parseLiteral(")"),t.rightDelim=0===s?")":"?",t.body=this.swapMathList(e),t}scanDelim(){this.skipWhitespace();const t=this.get();if(!t)return null;let e=".";"command"===t.type?e="\\"+t.value:"literal"===t.type&&(e=t.value);const s=Nt.getInfo(e,"math",this.macros);return s?"mopen"===s.type||"mclose"===s.type?e:/^(\?|\||<|>|\\vert|\\Vert|\\\||\\surd|\\uparrow|\\downarrow|\\Uparrow|\\Downarrow|\\updownarrow|\\Updownarrow|\\mid|\\mvert|\\mVert)$/.test(e)?e:null:null}scanLeftRight(){if(this.parseCommand("right")||this.parseCommand("mright")){const t=new ve(this.parseMode,"leftright");return t.rightDelim=this.scanDelim()||".",t}const t=this.style;let e="right";if(!this.parseCommand("left")){if(!this.parseCommand("mleft"))return null;e="mright"}const s=this.scanDelim()||".",i=this.swapMathList([]);for(;!this.end()&&!this.parseCommand(e);)this.parseAtom();this.style=t;const a=this.scanDelim(),o=new ve(this.parseMode,"leftright");return o.leftDelim=s,o.rightDelim=a,o.inner="right"===e,o.body=this.swapMathList(i),o}parseSupSub(){if("math"!==this.parseMode)return!1;let t=!1;for(;this.hasToken("^")||this.hasToken("_")||this.hasLiteral("'");){let e;if(this.hasToken("^")?e="superscript":this.hasToken("_")&&(e="subscript"),this.parseToken("^")||this.parseToken("_")){const s=this.scanArg();if(s){const i=this.lastMathAtom();i[e]=i[e]||[],i[e]=i[e].concat(s),t=!0}}else if(this.parseLiteral("'")){const e=this.lastMathAtom();e.superscript=e.superscript||[],e.superscript.push(new ve(e.parseMode,"mord","′")),t=!0}}return t}parseLimits(){if(this.parseCommand("limits")){const t=this.lastMathAtom();return t.limits="limits",t.explicitLimits=!0,!0}if(this.parseCommand("nolimits")){const t=this.lastMathAtom();return t.limits="nolimits",t.explicitLimits=!0,!0}return!1}scanOptionalArg(t){if(t=t&&"auto"!==t?t:this.parseMode,this.skipWhitespace(),!this.parseLiteral("["))return null;const e=this.parseMode;this.parseMode=t;const s=this.swapMathList();let i;for(;!this.end()&&!this.parseLiteral("]");)if("string"===t)i=this.scanString();else if("number"===t)i=this.scanNumber();else if("dimen"===t)i=this.scanDimen();else if("skip"===t)i=this.scanSkip();else if("colspec"===t)i=this.scanColspec();else if("color"===t)i=this.scanColor()||"#ffffff";else if("bbox"===t){const t=this.scanString().toLowerCase().trim().split(/,(?![^(]*\)(?:(?:[^(]*\)){2})*[^"]*$)/);for(const e of t){const t=ke.stringToColor(e);if(t)(i=i||{}).backgroundcolor=t;else{const t=e.match(/^\s*([0-9.]+)\s*([a-z][a-z])/);if(t)(i=i||{}).padding=C.toEm(t[1],t[2]);else{const t=e.match(/^\s*border\s*:\s*(.*)/);t&&((i=i||{}).border=t[1])}}}}else this.mathList=this.mathList.concat(this.scanImplicitGroup(t=>"literal"===t.type&&"]"===t.value));this.parseMode=e;const a=this.swapMathList(s);return i||a}scanArg(t){let e;if(t=t&&"auto"!==t?t:this.parseMode,this.parseFiller(),!this.parseToken("{")){if("delim"===t)return this.scanDelim()||".";if(/^(math|text)$/.test(t)){const e=this.parseMode;this.parseMode=t;const s=this.scanToken();return this.parseMode=e,Array.isArray(s)?s:s?[s]:null}}if(this.hasToken("#")){const t=this.get();return this.skipUntilToken("}"),"?"===t.value?this.placeholder():this.args?void 0===this.args[t.value]&&void 0!==this.args["?"]?this.placeholder():this.args[t.value]||null:null}const s=this.parseMode;this.parseMode=t;const i=this.swapMathList([]);if("string"===t)e=this.scanString(),this.skipUntilToken("}");else if("number"===t)e=this.scanNumber(),this.skipUntilToken("}");else if("dimen"===t)e=this.scanDimen(),this.skipUntilToken("}");else if("skip"===t)e=this.scanSkip(),this.skipUntilToken("}");else if("colspec"===t)e=this.scanColspec(),this.skipUntilToken("}");else if("color"===t)e=this.scanColor()||"#ffffff",this.skipUntilToken("}");else if("delim"===t)e=this.scanDelim()||".",this.skipUntilToken("}");else do{this.mathList=this.mathList.concat(this.scanImplicitGroup())}while(!this.parseToken("}")&&!this.end());this.parseMode=s;const a=this.swapMathList(i);return e||a}scanToken(){const t=this.get();if(!t)return null;let e=null;if("space"===t.type)"text"===this.parseMode&&(e=new ve("text",""," 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i=this.parent();for(;s&&!i[s];)s=e[s];if(s)return void this.setSelection(0,0,s);if(this.parent().array){const t=We(this.parent().array);let e=parseInt(this.relation().match(/cell([0-9]*)$/)[1])+1;for(;e<t;){if($e(this.parent().array,e)&&this.setSelection(0,0,"cell"+e))return void this.selectionDidChange();e+=1}}if(1===this.path.length)(this.suppressChangeNotifications||!this.config.onMoveOutOf||this.config.onMoveOutOf(this,"forward"))&&(this.path[0].offset=0);else{const e=!t.iterateAll&&this.parent().skipBoundary;this.path.pop(),e&&this.next(t)}return void this.selectionDidChange()}this.setSelection(this.anchorOffset()+1);const s=this.anchor();if(s&&!s.captureSelection){let i;if(s.array){let t=0;i="";const e=We(s.array);for(;!i&&t<e;)$e(s.array,t)&&(i="cell"+t.toString()),t+=1;return this.path.push({relation:i,offset:0}),void this.setSelection(0,0,i)}for(i="body";i;){if(Array.isArray(s[i]))return 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1===this.path.length?(this.suppressChangeNotifications||!this.config.onMoveOutOf||this.config.onMoveOutOf.bind(this)(-1))&&(this.path[0].offset=this.root.body.length-1):(this.path.pop(),this.setSelection(this.anchorOffset()-1)),void this.selectionDidChange()}const s=this.anchor();if(!s.captureSelection){let t;if(s.array){t="";const e=We(s.array);let i=e-1;for(;!t&&i<e;)$e(s.array,i)&&(t="cell"+i.toString()),i-=1;return i+=1,this.path.push({relation:t,offset:$e(s.array,i).length-1}),void this.setSelection(-1,0,t)}for(t="superscript";t;){if(Array.isArray(s[t]))return this.path.push({relation:t,offset:s[t].length-1}),void this.setSelection(-1,0,t);t=e[t]}}this.setSelection(this.anchorOffset()-1),!t.iterateAll&&this.sibling(0)&&this.sibling(0).skipBoundary&&this.previous(t)},Re.prototype.move=function(t,e){const s=(e=e||{extend:!1}).extend||!1;if(this.removeSuggestion(),s)this.extend(t,e);else{const e=Oe(this);if(t>0)for(this.collapseForward()&&t--;t>0;)this.next(),t--;else if(t<0)for(this.collapseBackward()&&t++;0!==t;)this.previous(),t++;this._announce("move",e)}},Re.prototype.up=function(t){const e=(t=t||{extend:!1}).extend||!1;this.collapseBackward();const s=this.relation();if("denom"===s)e?(this.selectionWillChange(),this.path.pop(),this.path[this.path.length-1].offset-=1,this.setExtent(1),this.selectionDidChange()):this.setSelection(this.anchorOffset(),0,"numer"),this._announce("moveUp");else if(this.parent().array){let e=Ne(this.parent().array,s);(e=He(this.parent().array,e,-1))&&$e(e)?(this.path[this.path.length-1].relation="cell"+Ke(this.parent().array,e),this.setSelection(this.anchorOffset()),this._announce("moveUp")):this.move(-1,t)}else this._announce("line")},Re.prototype.down=function(t){const e=(t=t||{extend:!1}).extend||!1;this.collapseForward();const s=this.relation();if("numer"===s)e?(this.selectionWillChange(),this.path.pop(),this.path[this.path.length-1].offset-=1,this.setExtent(1),this.selectionDidChange()):this.setSelection(this.anchorOffset(),0,"denom"),this._announce("moveDown");else if(this.parent().array){let e=Ne(this.parent().array,s);(e=He(this.parent().array,e,1))&&$e(e)?(this.path[this.path.length-1].relation="cell"+Ke(this.parent().array,e),this.setSelection(this.anchorOffset()),this._announce("moveDown")):this.move(1,t)}else this._announce("line")},Re.prototype.extend=function(t){let e=this.path[this.path.length-1].offset,s=0;const i=Oe(this),a=e+(s=this.extent+t);if(a<0&&0!==s){if(this.path.length>1)return this.selectionWillChange(),this.path.pop(),this.setExtent(-1),this.selectionDidChange(),void this._announce("move",i);e=this.path[this.path.length-1].offset,s=this.extent}else if(a>=this.siblings().length){if(this.path.length>1)return this.selectionWillChange(),this.path.pop(),this.path[this.path.length-1].offset-=1,this.setExtent(1),this.selectionDidChange(),void this._announce("move",i);this.isCollapsed()&&(e-=1),s-=1}this.setSelection(e,s),this._announce("move",i)},Re.prototype.skip=function(t,e){const s=(e=e||{extend:!1}).extend||!1;t=t<0?-1:1;const i=Oe(this),a=this.siblings(),o=this.focusOffset();let n=o+t;if(s&&(n=Math.min(Math.max(0,n),a.length-1)),n<0||n>=a.length)this.move(t,e);else{if(a[n]&&"text"===a[n].mode){if((n=this.wordBoundaryOffset(n,t))<0&&!s)return void this.setSelection(0);if(n>a.length)return this.setSelection(a.length-1),void this.move(t,e)}else{const e=a[n]?a[n].type:"";if("mopen"===e&&t>0||"mclose"===e&&t<0){let s="mopen"===e?1:-1;for(n+=t>0?1:-1;n>=0&&n<a.length&&0!==s;)"mopen"===a[n].type?s+=1:"mclose"===a[n].type&&(s-=1),n+=t;0!==s&&(n=o+t),t>0&&(n-=1)}else{for(;a[n]&&"math"===a[n].mode&&a[n].type===e;)n+=t;n-=t>0?1:0}}if(s){const t=this.anchorOffset();this.setSelection(t,n-t)}else this.setSelection(n);this._announce("move",i)}},Re.prototype.jump=function(t,e){const s=(e=e||{extend:!1}).extend||!1;t=t<0?-1:1;const i=this.siblings();let a=this.focusOffset();t>0&&(a=Math.min(a+1,i.length-1));const o=t<0?0:i.length-1;s?this.extend(o-a):this.move(o-a)},Re.prototype.jumpToMathFieldBoundary=function(t,e){const s=(e=e||{extend:!1}).extend||!1;t=(t=t||1)<0?-1:1;const i=Oe(this),a=[{relation:"body",offset:this.path[0].offset}];let o;s?t<0?a[0].offset>0&&(o=-a[0].offset):a[0].offset<this.siblings().length-1&&(o=this.siblings().length-1-a[0].offset):(a[0].offset=t<0?0:this.root.body.length-1,o=0),this.setPath(a,o),this._announce("move",i)},Re.prototype.leap=function(t,e){t=(t=t||1)<0?-1:1,e=e||!0;const s=Oe(this);this.move(t),"placeholder"===this.anchor().type&&this.move(t);const i=this.filter((t,e)=>"placeholder"===e.type||t.length>1&&1===this.siblings().length,t);if(0===i.length){if(e)if(this.config.onTabOutOf)this.config.onTabOutOf(this.target,t>0?"forward":"backward");else if(document.activeElement){const e='a[href]:not([disabled]),\n                    button:not([disabled]),\n                    textarea:not([disabled]),\n                    input[type=text]:not([disabled]),\n                    select:not([disabled]),\n                    [contentEditable="true"],\n                    [tabindex]:not([disabled]):not([tabindex="-1"])',s=Array.prototype.filter.call(document.querySelectorAll(e),t=>(t.offsetWidth>0||t.offsetHeight>0)&&!t.contains(document.activeElement)||t===document.activeElement);let i=s.indexOf(document.activeElement)+t;i<0&&(i=s.length-1),i>=s.length&&(i=0),s[i].focus()}return!1}return this.setPath(i[0]),"placeholder"===this.anchor().type&&this.setExtent(-1),this._announce("move",s),!0},Re.prototype.anchorMode=function(){const t=this.isCollapsed()?this.anchor():this.sibling(1);let e;if(t){if("commandliteral"===t.type||"command"===t.type)return"command";e=t.mode}let s=1,i=this.ancestor(s);for(;!e&&i;)i&&(e=i.mode),s+=1,i=this.ancestor(s);return e},Re.prototype.anchorStyle=function(){const t=this.isCollapsed()?this.anchor():this.sibling(1);let e;if(t&&"first"!==t.type){if("commandliteral"===t.type||"command"===t.type)return{};e={color:t.color,backgroundColor:t.backgroundColor,fontFamily:t.fontFamily,fontShape:t.fontShape,fontSeries:t.fontSeries}}let s=1,i=this.ancestor(s);for(;!e&&i;)i&&(e={color:i.color,backgroundColor:i.backgroundColor,fontFamily:i.fontFamily,fontShape:i.fontShape,fontSeries:i.fontSeries}),s+=1,i=this.ancestor(s);return e},Re.prototype.simplifyParen=function(t){t&&this.config.removeExtraneousParentheses&&t.forEach(t=>{if("genfrac"===t.type&&(this.simplifyParen(t.numer),this.simplifyParen(t.denom),t.numer=je(t.numer),t.denom=je(t.denom)),t.superscript&&(this.simplifyParen(t.superscript),t.superscript=je(t.superscript)),t.subscript&&(this.simplifyParen(t.subscript),t.subscript=je(t.subscript)),t.underscript&&(this.simplifyParen(t.underscript),t.underscript=je(t.underscript)),t.overscript&&(this.simplifyParen(t.overscript),t.overscript=je(t.overscript)),t.index&&(this.simplifyParen(t.index),t.index=je(t.index)),"surd"===t.type?(this.simplifyParen(t.body),t.body=je(t.body)):t.body&&Array.isArray(t.body)&&this.simplifyParen(t.body),t.array)for(let e=We(t.array);e>=0;e--)this.simplifyParen($e(t.array,e))})},Re.prototype.insert=function(t,e){e=e||{};const s=this.suppressChangeNotifications;e.suppressChangeNotifications&&(this.suppressChangeNotifications=!0),this.contentWillChange();const i=this.suppressChangeNotifications;this.suppressChangeNotifications=!0,e.insertionMode||(e.insertionMode="replaceSelection"),e.selectionMode||(e.selectionMode="placeholder"),e.format||(e.format="auto"),e.macros=e.macros||this.config.macros;const a=e.mode||this.anchorMode();let o;const n=[this.getSelectedAtoms()];void 0!==e.placeholder&&(n["?"]=e.placeholder),"replaceSelection"!==e.insertionMode||this.isCollapsed()?"replaceAll"===e.insertionMode?(this.root.body.splice(1),this.path=[{relation:"body",offset:0}],this.extent=0):"insertBefore"===e.insertionMode?this.collapseBackward():"insertAfter"===e.insertionMode&&this.collapseForward():this.delete_();const r=this.siblings(),l=this.startOffset();if(l+1<r.length&&r[l+1]&&"placeholder"===r[l+1].type?this.delete_(1):l>0&&r[l]&&"placeholder"===r[l].type&&this.delete_(-1),"math"===a&&"ASCIIMath"===e.format)t=Ze(t,{...this.config,format:"ASCIIMath"}),o=Ce.parseTokens(x.tokenize(t),"math",null,e.macros,!1),this.simplifyParen(o);else if("text"!==a&&"auto"===e.format)if("command"===a){o=[];for(const e of t)Nt.COMMAND_MODE_CHARACTERS.test(e)&&o.push(new ge.MathAtom("command","command",e))}else""===t?o=[new ge.MathAtom("command","command","\\")]:(t=Ze(t,this.config),n[0]?t=t.replace(/(^|[^\\])#@/g,"$1#0"):/(^|[^\\])#@/.test(t)?(t=t.replace(/(^|[^\\])#@/g,"$1#0"),n[0]=this.extractArgBeforeInsertionPoint(),this._deleteAtoms(-n[0].length),Array.isArray(n[0])&&0===n[0].length&&(n[0]=void 0)):t=t.replace(/(^|[^\\])#@/g,"$1#?"),o=Ce.parseTokens(x.tokenize(t),a,n,e.macros,e.smartFence),this.simplifyParen(o));else"latex"===e.format?o=Ce.parseTokens(x.tokenize(t),a,n,e.macros,e.smartFence):"text"!==a&&"text"!==e.format||(t=(t=(t=(t=(t=(t=(t=(t=(t=(t=(t=t.replace(/\\/g,"\\textbackslash ")).replace(/#/g,"\\#")).replace(/\$/g,"\\$")).replace(/%/g,"\\%")).replace(/&/g,"\\&")).replace(/_/g,"\\_")).replace(/{/g,"\\textbraceleft ")).replace(/}/g,"\\textbraceright ")).replace(/\^/g,"\\textasciicircum ")).replace(/~/g,"\\textasciitilde ")).replace(/£/g,"\\textsterling "),o=Ce.parseTokens(x.tokenize(t),"text",n,e.macros,!1));if(function t(e,s){e&&s&&(Array.isArray(e)?e.forEach(e=>t(e,s)):"object"==typeof e&&(e.color||e.backgroundColor||e.fontFamily||e.fontShape||e.fontSeries||(e.applyStyle(s),t(e.body,s),t(e.numer,s),t(e.denom,s),t(e.index,s),t(e.overscript,s),t(e.underscript,s),t(e.subscript,s),t(e.superscript,s))))}(o,e.style),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset()+1,0].concat(o)),this.insertFirstAtom(),this.suppressChangeNotifications=i,"placeholder"===e.selectionMode){let t=[];for(const e of o)t=t.concat(e.filter(t=>"placeholder"===t.type));0!==t.length&&this.leap(1,!1)?this._announce("move"):this.setSelection(this.anchorOffset()+o.length)}else"before"===e.selectionMode||("after"===e.selectionMode?this.setSelection(this.anchorOffset()+o.length):"item"===e.selectionMode&&this.setSelection(this.anchorOffset(),o.length));this.contentDidChange(),this.suppressChangeNotifications=s},Re.prototype._insertSmartFence=function(t,e){if(!this.config.smartFence)return!1;const s=this.parent();if("leftright"===s.type&&"|"!==s.leftDelim&&/\||\\vert|\\Vert|\\mvert|\\mid/.test(t))return this.insert("\\,\\middle"+t+"\\, ",{mode:"math",format:"latex",style:e}),!0;"{"!==t&&"\\{"!==t||(t="\\lbrace"),"}"!==t&&"\\}"!==t||(t="\\rbrace"),"["!==t&&"\\["!==t||(t="\\lbrack"),"]"!==t&&"\\]"!==t||(t="\\rbrack");const i=Nt.RIGHT_DELIM[t];if(i&&("leftright"!==s.type||"|"!==s.leftDelim)){let s="";const a=this.isCollapsed()||"placeholder"===this.anchor().type;return s=this.sibling(0).isFunction?"\\mleft"+t+"\\mright":"\\left"+t+"\\right",s+=a?"?":i,this.insert(s,{mode:"math",format:"latex",style:e}),a&&this.move(-1),!0}let a;for(const e in Nt.RIGHT_DELIM)Nt.RIGHT_DELIM.hasOwnProperty(e)&&t===Nt.RIGHT_DELIM[e]&&(a=e);if(a){if(s&&"leftright"===s.type&&this.endOffset()===this.siblings().length-1)return this.contentWillChange(),s.rightDelim=t,this.move(1),this.contentDidChange(),!0;const i=this.siblings();let a;for(a=this.endOffset();a>=0&&("leftright"!==i[a].type||"?"!==i[a].rightDelim);a--);if(a>=0)return this.contentWillChange(),i[a].rightDelim=t,i[a].body=i[a].body.concat(i.slice(a+1,this.endOffset()+1)),i.splice(a+1,this.endOffset()-a),this.setSelection(a),this.contentDidChange(),!0;if(s&&"leftright"===s.type&&"?"===s.rightDelim){this.contentWillChange(),s.rightDelim=t;const e=i.slice(this.endOffset()+1);return i.splice(this.endOffset()+1),this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.endOffset()+1,0].concat(e)),this.contentDidChange(),!0}const o=this.ancestor(2);return o&&"leftright"===o.type&&"?"===o.rightDelim&&this.endOffset()===i.length-1?(this.move(1),this._insertSmartFence(t,e)):(this.insert(t,{mode:"math",format:"latex",style:e}),!0)}return!1},Re.prototype.positionInsertionPointAfterCommitedCommand=function(){const t=this.siblings(),e=this.commandOffsets();let s=e.start;for(;s<e.end&&!t[s].suggestion;)s++;this.setSelection(s-1)},Re.prototype.removeSuggestion=function(){const t=this.siblings();for(let e=t.length-1;e>=0;e--)t[e].suggestion&&t.splice(e,1)},Re.prototype.insertSuggestion=function(t,e){this.removeSuggestion();const s=[],i=t.substr(e);for(const t of i){const e=new ge.MathAtom("command","command",t);e.suggestion=!0,s.push(e)}Array.prototype.splice.apply(this.siblings(),[this.anchorOffset()+1,0].concat(s))},Re.prototype._deleteAtoms=function(t){t>0?this.siblings().splice(this.anchorOffset()+1,t):(this.siblings().splice(this.anchorOffset()+t+1,-t),this.setSelection(this.anchorOffset()+t))},Re.prototype.delete=function(t){if(0===(t=t||0))this.delete_(0);else if(t>0)for(;t>0;)this.delete_(1),t--;else for(;t<0;)this.delete_(-1),t++},Re.prototype.delete_=function(t){this.contentWillChange();const e=this.suppressChangeNotifications;if(this.suppressChangeNotifications=!0,t=(t=t||0)<0?-1:t>0?1:t,this.removeSuggestion(),this.parent().array&&t<0&&0===this.startOffset()){const t=this.parent().array;if(function(t){const e={col:0,row:0};for(;e.row<t.length&&!$e(t,e);)e.row+=1;return $e(t,e)?"cell"+Ke(t,e):""}(t)===this.relation()){const e=function(t,e,s){e||(e=[";",","]);let i,a=[];for(const o of t)i?a.push(i):i=new ge.MathAtom("math","mpunct",e[0],s),a=a.concat(Ve(o,e[1]));return a}(t);this.path.pop(),this.siblings().splice(this.anchorOffset(),1,...e),this.setSelection(this.anchorOffset()-1,e.length)}else{const e=Ne(t,this.relation());if(0===e.col){const s=He(t,e,-1);s.col=t[s.row].length-1,this.path[this.path.length-1].relation="cell"+Ke(t,s);const i=t[s.row][s.col].length,a=Ve(t[e.row]);t[s.row][s.col]=t[s.row][s.col].concat(a),this.setSelection(i-1,a.length),function(t,e){t.splice(e,1)}(t,e.row)}else if(0===function(t,e){let s=0;const i={col:e,row:0};for(;i.row<t.length;){const e=$e(t,i);if(e&&e.length>0){let t=e.length;"first"===e[0].type&&(t-=1),t>0&&(s+=1)}i.row+=1}return s}(t,e.col)){!function(t,e){let s=0;for(;s<t.length;)t[s][e]&&t[s].splice(e,1),s+=1}(t,e.col),e.col-=1,this.path[this.path.length-1].relation="cell"+Ke(t,e);const s=t[e.row][e.col];this.setSelection(s.length-1,0)}}return this.suppressChangeNotifications=e,void this.contentDidChange()}const s=this.siblings();if(this.isCollapsed()){const e=this.anchorOffset();if(t<0)if(0!==e){const t=this.sibling(0);"leftright"===t.type?(t.rightDelim="?",this.move(-1)):!t.captureSelection&&/^(group|array|genfrac|surd|leftright|overlap|overunder|box|mathstyle|sizing)$/.test(t.type)?this.move(-1):(this._announce("delete",null,s.slice(e,e+1)),s.splice(e,1),this.setSelection(e-1))}else{const t=this.relation();if("superscript"===t||"subscript"===t){const e=this.parent()[t].filter(t=>"placeholder"!==t.type&&"first"!==t.type);this.parent()[t]=null,this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),0].concat(e)),this.setSelection(this.anchorOffset()-1),this._announce("deleted: "+t)}else if("denom"===t){const t=this.parent().numer.filter(t=>"placeholder"!==t.type&&"first"!==t.type),e=this.parent().denom.filter(t=>"placeholder"!==t.type&&"first"!==t.type);this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),1].concat(e)),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),0].concat(t)),this.setSelection(this.anchorOffset()+t.length-1),this._announce("deleted: denominator")}else if("body"===t){const t=this.siblings().filter(t=>"placeholder"!==t.type);this.path.length>1&&(t.shift(),this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),1].concat(t)),this.setSelection(this.anchorOffset()-1),this._announce("deleted: root"))}else this.move(-1),this.delete(-1)}else if(t>0)if(e!==s.length-1)/^(group|array|genfrac|surd|leftright|overlap|overunder|box|mathstyle|sizing)$/.test(this.sibling(1).type)?this.move(1):(this._announce("delete",null,s.slice(e+1,e+2)),s.splice(e+1,1));else{if("numer"===this.relation()){const t=this.parent().numer.filter(t=>"placeholder"!==t.type&&"first"!==t.type),e=this.parent().denom.filter(t=>"placeholder"!==t.type&&"first"!==t.type);this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),1].concat(e)),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),0].concat(t)),this.setSelection(this.anchorOffset()+t.length-1),this._announce("deleted: numerator")}else this.move(1),this.delete(1)}}else{const 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is"},{latex:"\\nexists",aside:"there isn’t"},{latex:"\\ni",aside:"such that"},{latex:"\\Colon",aside:"such that"},{latex:"\\implies",aside:"implies"},{latex:"\\impliedby",aside:"implied by"},{latex:"\\iff",aside:"if and only if"},{latex:"\\land",aside:"and"},{latex:"\\lor",aside:"or"},{latex:"\\oplus",aside:"xor"},{latex:"\\lnot",aside:"not"},{latex:"\\downarrow",aside:"nor"},{latex:"\\uparrow",aside:"nand"},{latex:"\\curlywedge",aside:"nor"},{latex:"\\bar\\curlywedge",aside:"nand"},{latex:"\\therefore",aside:"therefore"},{latex:"\\because",aside:"because"},{latex:"^\\biconditional",aside:"biconditional"},"\\leftrightarrow","\\Leftrightarrow","\\to","\\models","\\vdash","\\gets","\\dashv","\\roundimplies"],"set-operators":["\\cap","\\cup","\\setminus","\\smallsetminus","\\complement"],"set-relations":["\\in","\\notin","\\ni","\\owns","\\subset","\\supset","\\subseteq","\\supseteq","\\subsetneq","\\supsetneq","\\varsubsetneq","\\subsetneqq","\\nsubset","\\nsupset","\\nsubseteq","\\nsupseteq"],space:[{latex:'\\char"203A\\!\\char"2039',insert:"\\!",aside:"negative thin space<br>⁻³⧸₁₈ em"},{latex:'\\unicode{"203A}\\,\\unicode{"2039}',insert:"\\,",aside:"thin space<br>³⧸₁₈ em"},{latex:'\\unicode{"203A}\\:\\unicode{"2039}',insert:"\\:",aside:"medium space<br>⁴⧸₁₈ em"},{latex:'\\unicode{"203A}\\;\\unicode{"2039}',insert:"\\;",aside:"thick space<br>⁵⧸₁₈ em"},{latex:'\\unicode{"203A}\\ \\unicode{"2039}',insert:"\\ ",aside:"⅓ em"},{latex:'\\unicode{"203A}\\enspace\\unicode{"2039}',insert:"\\enspace",aside:"½ em"},{latex:'\\unicode{"203A}\\quad\\unicode{"2039}',insert:"\\quad",aside:"1 em"},{latex:'\\unicode{"203A}\\qquad\\unicode{"2039}',insert:"\\qquad",aside:"2 em"}],delete:[{label:'<span class="warning"><svg><use xlink:href="#svg-trash" /></svg></span>',command:'"deleteAll"'}],"->|":[]};let bs={};const xs={math:"\n        <div class='rows'>\n            <ul>\n                <li class='keycap tex' data-alt-keys='x-var'><i>x</i></li>\n                <li class='keycap tex' data-alt-keys='n-var'><i>n</i></li>\n                <li class='separator w5'></li>\n                <row name='numpad-1'/>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-key='ee' data-alt-keys='ee'>e</li>\n                <li class='keycap tex' data-key='ii' data-alt-keys='ii'>i</li>\n                <li class='keycap tex' data-latex='\\pi' data-alt-keys='numeric-pi'></li>\n            </ul>\n            <ul>\n                <li class='keycap tex' data-key='<' data-alt-keys='<'>&lt;</li>\n                <li class='keycap tex' data-key='>' data-alt-keys='>'>&gt;</li>\n                <li class='separator w5'></li>\n                <row name='numpad-2'/>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-alt-keys='x2' data-insert='#@^{2}'><span><i>x</i>&thinsp;²</span></li>\n                <li class='keycap tex' data-alt-keys='^' data-insert='#@^{#?}'><span><i>x</i><sup>&thinsp;<small>&#x2b1a;</small></sup></span></li>\n                <li class='keycap tex' data-alt-keys='sqrt' data-insert='\\sqrt{#0}' data-latex='\\sqrt{#0}'></li>\n            </ul>\n            <ul>\n                <li class='keycap tex' data-alt-keys='(' >(</li>\n                <li class='keycap tex' data-alt-keys=')' >)</li>\n                <li class='separator w5'></li>\n                <row name='numpad-3'/>\n                <li class='separator w5'></li>\n                <li class='keycap tex small' data-alt-keys='int' data-latex='\\int_0^\\infty'><span></span></li>\n                <li class='keycap tex' data-latex='\\forall' data-alt-keys='logic' ></li>\n                <li class='action font-glyph bottom right' data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'>&#x232b;</li></ul>\n            </ul>\n            <ul>\n                <li class='keycap' data-alt-keys='foreground-color' data-command='[\"applyStyle\",{\"color\":\"#cc2428\"}]'><span style='border-radius: 50%;width:22px;height:22px; border: 3px solid #cc2428; box-sizing: border-box'></span></li>\n                <li class='keycap' data-alt-keys='background-color' data-command='[\"applyStyle\",{\"backgroundColor\":\"#fff590\"}]'><span style='border-radius: 50%;width:22px;height:22px; background:#fff590; box-sizing: border-box'></span></li>\n                <li class='separator w5'></li>\n                <row name='numpad-4'/>\n                <li class='separator w5'></li>\n                <arrows/>\n            </ul>\n        </div>\n    ","lower-roman":"\n        <div class='rows'>\n            <ul>\n                <row name='numpad-1' class='if-wide'/>\n                <row name='lower-1' shift-layer='upper-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-2' class='if-wide'/>\n                <row name='lower-2'  shift-layer='upper-roman''/>\n            </ul>\n            <ul>\n                <row name='numpad-3' class='if-wide'/>\n                <row name='lower-3'  shift-layer='upper-roman''/>\n            </ul>\n            <ul>\n                <row name='numpad-4' class='if-wide'/>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='symbols'>&infin;≠</li>\n                <li class='keycap' data-alt-keys=','>,</li>\n                <li class='keycap w50' data-key=' ' data-alt-keys='space'>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","upper-roman":"\n        <div class='rows'>\n            <ul>\n                <row name='numpad-1' class='if-wide'/>\n                <row name='upper-1'  shift-layer='lower-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-2' class='if-wide'/>\n                <row name='upper-2' shift-layer='lower-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-3' class='if-wide'/>\n                <row name='upper-3' shift-layer='lower-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-4' class='if-wide'/>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='symbols'>&infin;≠</li>\n                <li class='keycap' data-alt-keys='.'>;</li>\n                <li class='keycap w50' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>",symbols:"\n        <div class='rows'>\n            <ul>\n                <row name='numpad-1' class='if-wide'/>\n                <li class='keycap tex' data-alt-keys='(' data-insert='\\lbrace '>{</li>\n                <li class='keycap tex' data-alt-keys=')' data-insert='\\rbrace '>}</li>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-alt-keys='set' data-insert='\\in '>&#x2208;</li>\n                <li class='keycap tex' data-alt-keys='!set' data-insert='\\notin '>&#x2209;</li>\n                <li class='keycap tex' data-insert='\\Re '>&#x211c;<aside>Real</aside></li>\n                <li class='keycap tex' data-insert='\\Im '>&#x2111;<aside>Imaginary</aside></li>\n                <li class='keycap w15' data-insert='\\ulcorner#0\\urcorner '><span><sup>&#x250c;</sup><span><span style='color:#ddd'>o</span><sup>&#x2510;</sup></span><aside>ceil</aside></li>\n                <li class='keycap tex' data-alt-keys='nabla' data-insert='\\nabla '>&#x2207;<aside>nabla</aside></li>\n                <li class='keycap tex' data-alt-keys='infinity' data-insert='\\infty '>&#x221e;</li>\n\n            </ul>\n            <ul>\n                <row name='numpad-2' class='if-wide'/>\n                <li class='keycap tex' data-alt-keys='(' data-insert='\\lbrack '>[</li>\n                <li class='keycap tex' data-alt-keys=')' data-insert='\\rbrack '>]</li>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-alt-keys='subset' data-insert='\\subset '>&#x2282;</li>\n                <li class='keycap tex' data-alt-keys='supset' data-insert='\\supset '>&#x2283;</li>\n                <li class='keycap tex' data-key='!' data-alt-keys='!'>!<aside>factorial</aside></li>\n                <li class='keycap' data-insert='^{\\prime} '><span><sup><span><span style='color:#ddd'>o</span>&#x2032</sup></span><aside>prime</aside></li>\n                <li class='keycap w15' data-insert='\\llcorner#0\\lrcorner '><span><sub>&#x2514;</sub><span style='color:#ddd'>o</span><sub>&#x2518;</sub></span><aside>floor</aside></li>\n                <li class='keycap tex' data-insert='\\partial '>&#x2202;<aside>partial<br>derivative</aside></li>\n                <li class='keycap tex' data-insert='\\emptyset '>&#x2205;<aside>empty set</aside></li>\n\n            </ul>\n            <ul>\n                <row name='numpad-3' class='if-wide'/>\n                <li class='keycap tex' data-alt-keys='(' data-insert='\\langle '>&#x27e8;</li>\n                <li class='keycap tex' data-alt-keys=')' data-insert='\\rangle '>&#x27e9;</li>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-insert='\\subseteq '>&#x2286;</li>\n                <li class='keycap tex' data-insert='\\supseteq '>&#x2287;</li>\n                <li class='keycap tex' data-alt-keys='accents' data-insert='\\vec{#@}' data-latex='\\vec{#?}' data-aside='vector'></li>\n                <li class='keycap tex' data-alt-keys='accents' data-insert='\\bar{#@}' data-latex='\\bar{#?}' data-aside='bar'></li>\n                <li class='keycap tex' data-alt-keys='absnorm' data-insert='\\lvert #@ \\rvert ' data-latex='\\lvert #? \\rvert' data-aside='abs'></li>\n                <li class='keycap tex' data-insert='\\ast '>&#x2217;<aside>asterisk</aside></li>\n\n                <li class='action font-glyph bottom right w15'\n                    data-shifted='<span class=\"warning\"><svg><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'\n                >&#x232b;</li>\n            </ul>\n            <ul>\n                <row name='numpad-4' class='if-wide'/>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='lower-roman'>abc</li>\n                <li class='keycap tex' data-insert='\\cdot '>&#x22c5;<aside>centered dot</aside></li>\n                <li class='keycap tex' data-insert='\\colon '>:<aside>colon</aside></li>\n                <li class='keycap tex' data-insert='\\circ '>&#x2218;<aside>circle</aside></li>\n                <li class='keycap tex' data-insert='\\approx '>&#x2248;<aside>approx.</aside></li>\n                <li class='keycap tex' data-insert='\\ne '>&#x2260;</li>\n                <li class='keycap tex' data-insert='\\pm '>&#x00b1;</li>\n                <arrows/>\n            </ul>\n        </div>","lower-greek":"\n        <div class='rows'>\n            <ul><li class='keycap tex' data-insert='\\varphi '><i>&#x03c6;</i><aside>phi var.</aside></li>\n                <li class='keycap tex' data-insert='\\varsigma '><i>&#x03c2;</i><aside>sigma var.</aside></li>\n                <li class='keycap tex' data-insert='\\epsilon '><i>&#x03f5;</i></li>\n                <li class='keycap tex' data-insert='\\rho '><i>&rho;</i></li>\n                <li class='keycap tex' data-insert='\\tau '><i>&tau;</i></li>\n                <li class='keycap tex' data-insert='\\upsilon '><i>&upsilon;</i></li>\n                <li class='keycap tex' data-insert='\\theta '><i>&theta;</i></li>\n                <li class='keycap tex' data-insert='\\iota '><i>&iota;</i></li>\n                <li class='keycap tex' data-insert='\\omicron '>&omicron;</i></li>\n                <li class='keycap tex' data-insert='\\pi '><i>&pi;</i></li>\n            </ul>\n            <ul><li class='keycap tex' data-insert='\\alpha ' data-shifted='&Alpha;' data-shifted-command='[\"insert\",\"{\\\\char\\\"391}\"]'><i>&alpha;</i></li>\n                <li class='keycap tex' data-insert='\\sigma '><i>&sigma;</i></li>\n                <li class='keycap tex' data-insert='\\delta '><i>&delta;</i></li>\n                <li class='keycap tex' data-insert='\\phi '><i>&#x03d5;</i></i></li>\n                <li class='keycap tex' data-insert='\\gamma '><i>&gamma;</i></li>\n                <li class='keycap tex' data-insert='\\eta '><i>&eta;</i></li>\n                <li class='keycap tex' data-insert='\\xi '><i>&xi;</i></li>\n                <li class='keycap tex' data-insert='\\kappa '><i>&kappa;</i></li>\n                <li class='keycap tex' data-insert='\\lambda '><i>&lambda;</i></li>\n            </ul>\n            <ul><li class='shift modifier font-glyph bottom left w15 layer-switch' data-layer='upper-greek'>&#x21e7;</li>\n                <li class='keycap tex' data-insert='\\zeta '><i>&zeta;</i></li>\n                <li class='keycap tex' data-insert='\\chi '><i>&chi;</i></li>\n                <li class='keycap tex' data-insert='\\psi '><i>&psi;</i></li>\n                <li class='keycap tex' data-insert='\\omega '><i>&omega;</i></li>\n                <li class='keycap tex' data-insert='\\beta '><i>&beta;</i></li>\n                <li class='keycap tex' data-insert='\\nu '><i>&nu;</i></li>\n                <li class='keycap tex' data-insert='\\mu '><i>&mu;</i></li>\n                <li class='action font-glyph bottom right w15'\n                    data-shifted='<span class=\"warning\"><svg><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'\n                >&#x232b;</li>\n            </ul>\n            <ul>\n                <li class='keycap ' data-key=' '>&nbsp;</li>\n                <li class='keycap'>,</li>\n                <li class='keycap tex' data-insert='\\varepsilon '><i>&#x03b5;</i><aside>epsilon var.</aside></li>\n                <li class='keycap tex' data-insert='\\vartheta '><i>&#x03d1;</i><aside>theta var.</aside></li>\n                <li class='keycap tex' data-insert='\\varkappa '><i>&#x3f0;</i><aside>kappa var.</aside></li>\n                <li class='keycap tex' data-insert='\\varpi '><i>&#x03d6;<aside>pi var.</aside></i></li>\n                <li class='keycap tex' data-insert='\\varrho '><i>&#x03f1;</i><aside>rho var.</aside></li>\n                <arrows/>\n            </ul>\n        </div>","upper-greek":"\n        <div class='rows'>\n            <ul><li class='keycap tex' data-insert='\\Phi '>&Phi;<aside>phi</aside></li>\n                <li class='keycap tex' data-insert='\\Sigma '>&Sigma;<aside>sigma</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"0190}'>&#x0190;<aside>epsilon</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"3A1}'>&#x3A1;<aside>rho</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"3A4}'>&#x3A4;<aside>tau</aside></li>\n                <li class='keycap tex' data-insert='\\Upsilon '>&Upsilon;<aside>upsilon</aside></li>\n                <li class='keycap tex' data-insert='\\Theta '>&Theta;<aside>theta</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"399}'>&Iota;<aside>iota</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"39F}'>&#x039F;<aside>omicron</aside></li>\n                <li class='keycap tex' data-insert='\\Pi '>&Pi;<aside>pi</aside></li></ul>\n            <ul><li class='keycap tex' data-insert='{\\char\"391}'>&#x391;<aside>alpha</aside></li>\n                <li class='keycap tex' data-insert='\\Sigma '>&Sigma;<aside>sigma</aside></li>\n                <li class='keycap tex' data-insert='\\Delta '>&Delta;<aside>delta</aside></li>\n                <li class='keycap tex' data-insert='\\Phi '>&#x03a6;<aside>phi</aside></li>\n                <li class='keycap tex' data-insert='\\Gamma '>&Gamma;<aside>gamma</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"397}'>&Eta;<aside>eta</aside></li>\n                <li class='keycap tex' data-insert='\\Xi '>&Xi;<aside>xi</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"39A}'>&Kappa;<aside>kappa</aside></li>\n                <li class='keycap tex' data-insert='\\Lambda '>&Lambda;<aside>lambda</aside></li></ul>\n            <ul><li class='shift modifier font-glyph bottom left selected w15 layer-switch' data-layer='lower-greek'>&#x21e7;</li>\n                <li class='keycap tex' data-insert='{\\char\"396}'>&Zeta;<aside>zeta</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"3A7}'>&Chi;<aside>chi</aside></li>\n                <li class='keycap tex' data-insert='\\Psi '>&Psi;<aside>psi</aside></li>\n                <li class='keycap tex' data-insert='\\Omega '>&Omega;<aside>omega</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"392}'>&Beta;<aside>beta</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"39D}'>&Nu;<aside>nu</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"39C}'>&Mu;<aside>mu</aside></li>\n                <li class='action font-glyph bottom right w15' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'>&#x232b;</li></ul>\n            <ul>\n                <li class='separator w10'>&nbsp;</li>\n                <li class='keycap'>.</li>\n                <li class='keycap w50' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","lower-command":"\n        <div class='rows'>\n            <ul><row name='lower-1' class='tt' shift-layer='upper-command'/></ul>\n            <ul><row name='lower-2' class='tt' shift-layer='upper-command'/></ul>\n            <ul><row name='lower-3' class='tt' shift-layer='upper-command'/></ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='symbols-command'>01#</li>\n                <li class='keycap tt' data-shifted='[' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \"[\"]'>{</li>\n                <li class='keycap tt' data-shifted=']' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \"]\"]'>}</li>\n                <li class='keycap tt' data-shifted='(' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \"(\"]'>^</li>\n                <li class='keycap tt' data-shifted=')' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \")\"]'>_</li>\n                <li class='keycap w20' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","upper-command":"\n        <div class='rows'>\n            <ul><row name='upper-1' class='tt' shift-layer='lower-command'/></ul>\n            <ul><row name='upper-2' class='tt' shift-layer='lower-command'/></ul>\n            <ul><row name='upper-3' class='tt' shift-layer='lower-command'/></ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='symbols-command'01#</li>\n                <li class='keycap tt'>[</li>\n                <li class='keycap tt'>]</li>\n                <li class='keycap tt'>(</li>\n                <li class='keycap tt'>)</li>\n                <li class='keycap w20' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","symbols-command":"\n        <div class='rows'>\n            <ul><li class='keycap tt'>1</li><li class='keycap tt'>2</li><li class='keycap tt'>3</li><li class='keycap tt'>4</li><li class='keycap tt'>5</li><li class='keycap tt'>6</li><li class='keycap tt'>7</li><li class='keycap tt'>8</li><li class='keycap tt'>9</li><li class='keycap tt'>0</li></ul>\n            <ul><li class='keycap tt'>!</li><li class='keycap tt'>@</li><li class='keycap tt'>#</li><li class='keycap tt'>$</li><li class='keycap tt'>%</li><li class='keycap tt'>^</li><li class='keycap tt'>&</li><li class='keycap tt'>*</li><li class='keycap tt'>+</li><li class='keycap tt'>=</li></ul>\n            <ul>\n                <li class='keycap tt'>\\</li>\n                <li class='keycap tt'>|</li>\n                <li class='keycap tt'>/</li>\n                <li class='keycap tt'>`</li>\n                <li class='keycap tt'>;</li>\n                <li class='keycap tt'>:</li>\n                <li class='keycap tt'>?</li>\n                <li class='keycap tt'>'</li>\n                <li class='keycap tt'>\"</li>\n                <li class='action font-glyph bottom right'\n                    data-shifted='<span class=\"warning\"><svg><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'\n                >&#x232b;</li>\n            </ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='lower-command'>abc</li>\n                <li class='keycap tt'>&lt;</li>\n                <li class='keycap tt'>&gt;</li>\n                <li class='keycap tt'>~</li>\n                <li class='keycap tt'>,</li>\n                <li class='keycap tt'>.</li>\n                <li class='keycap' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>",functions:"\n        <div class='rows'>\n            <ul><li class='separator'></li>\n                <li class='fnbutton' data-insert='\\sin'></li>\n                <li class='fnbutton' data-insert='\\sin^{-1}'></li>\n                <li class='fnbutton' data-insert='\\ln'></li>\n                <li class='fnbutton' data-insert='\\exponentialE^{#?}'></li>\n                <li class='bigfnbutton' data-insert='\\operatorname{lcm}(#?)' data-latex='\\operatorname{lcm}()'></li>\n                <li class='bigfnbutton' data-insert='\\operatorname{ceil}(#?)' data-latex='\\operatorname{ceil}()'></li>\n                <li class='bigfnbutton' 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",i+=s(ge.toSpeakableFragment(t[o+1],e)),o+=2):"mord"===t[o].type&&/[0123456789,.]/.test(t[o].latex)?a?i+=t[o].latex:(a=!0,i+=ge.toSpeakableFragment(t[o],e)):(a=!1,i+=ge.toSpeakableFragment(t[o],e))}else{let a="",o="",n="",r=!1;switch(t.type){case"group":case"root":i+=ge.toSpeakableFragment(t.body,e);break;case"genfrac":if(a=ge.toSpeakableFragment(t.numer,e),o=ge.toSpeakableFragment(t.denom,e),vi(t.numer)&&vi(t.denom)){const e={"1/2":" half ","1/3":" one third ","2/3":" two third","1/4":" one quarter ","3/4":" three quarter ","1/5":" one fifth ","2/5":" two fifths ","3/5":" three fifths ","4/5":" four fifths ","1/6":" one sixth ","5/6":" five sixths ","1/8":" one eight ","3/8":" three eights ","5/8":" five eights ","7/8":" seven eights ","1/9":" one ninth ","2/9":" two ninths ","4/9":" four ninths ","5/9":" five ninths ","7/9":" seven ninths ","8/9":" eight ninths "}[wi(t.numer)+"/"+wi(t.denom)];e?i=e:i+=a+" over "+o}else i+=' the fraction <break time="150ms"/>'+a+', over <break time="150ms"/>'+o+'.<break time="150ms"/> End fraction.<break time="150ms"/>';break;case"surd":if(n=ge.toSpeakableFragment(t.body,e),t.index){let s=ge.toSpeakableFragment(t.index,e);const a=(s=s.trim()).replace(/<mark([^\/]*)\/>/g,"");i+="3"===a?' the cube root of <break time="200ms"/>'+n+'. <break time="200ms"/> End cube root':"n"===a?' the nth root of <break time="200ms"/>'+n+'. <break time="200ms"/> End root':' the root with index: <break time="200ms"/>'+s+', of <break time="200ms"/>'+n+'. <break time="200ms"/> End root'}else vi(t.body)?i+=" the square root of "+n+" , ":i+=' the square root of <break time="200ms"/>'+n+'. <break time="200ms"/> End square root';break;case"accent":break;case"leftright":i+=ki[t.leftDelim]||t.leftDelim,i+=ge.toSpeakableFragment(t.body,e),i+=ki[t.rightDelim]||t.rightDelim;break;case"line":case"rule":case"overunder":case"overlap":break;case"placeholder":i+="placeholder "+t.body;break;case"delim":case"sizeddelim":case"mord":case"minner":case"mbin":case"mrel":case"mpunct":case"mopen":case"mclose":case"textord":{const s=t.latex?t.latex.trim():"";if("\\mathbin"===s||"\\mathrel"===s||"\\mathopen"===s||"\\mathclose"===s||"\\mathpunct"===s||"\\mathord"===s||"\\mathinner"===s){i=ge.toSpeakableFragment(t.body,e);break}let a=t.body,o=t.latex;if("delim"!==t.type&&"sizeddelim"!==t.type||(a=o=t.delim),"text"===e.speechMode)i+=a;else{if("mbin"===t.type&&(i+='<break time="150ms"/>'),a){const t=ki[a]||(o?ki[o.trim()]:"");if(t)i+=" "+t;else{const t=o?function(t){let e=ds.NOTES[t];return e||"\\"!==t.charAt(0)||(e=" "+t.replace("\\","")+" "),Array.isArray(e)&&(e=e[0]),e}(o.trim()):"";i+=t||function(t){let s="";return e.textToSpeechMarkup?/[a-z]/.test(t)?s+=' <say-as interpret-as="character">'+t+"</say-as>":/[A-Z]/.test(t)?s+="capital "+t.toLowerCase():s+=t:/[a-z]/.test(t)?s+=" '"+t.toUpperCase()+"'":/[A-Z]/.test(t)?s+=" 'capital "+t.toUpperCase()+"'":s+=t,s}(a)}}else i+=ge.toSpeakableFragment(t.body,e);"mbin"===t.type&&(i+='<break time="150ms"/>')}break}case"mop":if("​"!==t.body){const a=t.latex?t.latex.trim():"";if("\\sum"===a)if(t.superscript&&t.subscript){let s=ge.toSpeakableFragment(t.superscript,e);s=s.trim();let a=ge.toSpeakableFragment(t.subscript,e);i+=' the summation from <break time="200ms"/>'+(a=a.trim())+'<break time="200ms"/> to  <break time="200ms"/>'+s+'<break time="200ms"/> of <break time="150ms"/>',r=!0}else if(t.subscript){let s=ge.toSpeakableFragment(t.subscript,e);i+=' the summation from <break time="200ms"/>'+(s=s.trim())+'<break time="200ms"/> of <break time="150ms"/>',r=!0}else i+=" the summation of";else if("\\prod"===a)if(t.superscript&&t.subscript){let s=ge.toSpeakableFragment(t.superscript,e);s=s.trim();let a=ge.toSpeakableFragment(t.subscript,e);i+=' the product from <break time="200ms"/>'+(a=a.trim())+'<break time="200ms"/> to <break time="200ms"/>'+s+'<break time="200ms"/> of <break time="150ms"/>',r=!0}else if(t.subscript){let s=ge.toSpeakableFragment(t.subscript,e);i+=' the product from <break time="200ms"/>'+(s=s.trim())+'<break time="200ms"/> of <break time="150ms"/>',r=!0}else i+=" the product  of ";else if("\\int"===a)if(t.superscript&&t.subscript){let a=ge.toSpeakableFragment(t.superscript,e);a=a.trim();let o=ge.toSpeakableFragment(t.subscript,e);i+=' the integral from <break time="200ms"/>'+s(o=o.trim())+'<break time="200ms"/> to <break time="200ms"/>'+s(a)+' <break time="200ms"/> of ',r=!0}else i+=' the integral of <break time="200ms"/> ';else if("string"==typeof t.body){const e=ki[t.body]||ki[t.latex.trim()];i+=e||" "+t.body}else t.latex&&t.latex.length>0&&("\\"===t.latex[0]?i+=" "+t.latex.substr(1):i+=" "+t.latex)}break;case"enclose":n=ge.toSpeakableFragment(t.body,e),vi(t.body)?i+=" crossed out "+n+" , ":i+=" crossed out "+n+". End cross out"}if(!r&&t.superscript){let s=ge.toSpeakableFragment(t.superscript,e);const a=(s=s.trim()).replace(/<[^>]*>/g,"");if(vi(t.superscript)){if("math"===e.speechMode){const e=function(t){if(t&&Array.isArray(t))for(const e of t)if("first"!==e.type&&e.id)return e.id.toString();return""}(t.superscript);e&&(i+='<mark name="'+e+'"/>')}"′"===a?i+=" prime ":"2"===a?i+=" squared ":"3"===a?i+=" cubed ":isNaN(parseInt(a))?i+=" to the "+s+"; ":i+=' to the <say-as interpret-as="ordinal">'+a+"</say-as> power; "}else isNaN(parseInt(a))?i+=" raised to the "+s+"; ":i+=' raised to the <say-as interpret-as="ordinal">'+a+"</say-as> power; "}if(!r&&t.subscript){let s=ge.toSpeakableFragment(t.subscript,e);s=s.trim(),vi(t.subscript)?i+=" sub "+s:i+=" subscript "+s+". End subscript. "}}return i},ge.toSpeakableText=function(t,e){if(e||(e={textToSpeechMarkup:"",textToSpeechRules:"mathlive"}),e.speechMode="math",window.sre&&"sre"===e.textToSpeechRules){e.generateID=!0;const s=ge.toMathML(t,e);return s?(e.textToSpeechMarkup&&(e.textToSpeechRulesOptions=e.textToSpeechRulesOptions||{},e.textToSpeechRulesOptions.markup=e.textToSpeechMarkup,"ssml"===e.textToSpeechRulesOptions.markup&&(e.textToSpeechRulesOptions.markup="ssml_step"),e.textToSpeechRulesOptions.rate=e.speechEngineRate),e.textToSpeechRulesOptions&&window.sre.System.getInstance().setupEngine(e.textToSpeechRulesOptions),window.sre.System.getInstance().toSpeech(s)):""}let s=ge.toSpeakableFragment(t,e);if("ssml"===e.textToSpeechMarkup){let t="";e.speechEngineRate&&(t='<prosody rate="'+e.speechEngineRate+'">'),s='<?xml version="1.0"?><speak version="1.1" xmlns="http://www.w3.org/2001/10/synthesis" xml:lang="en-US"><amazon:auto-breaths>'+t+"<p><s>"+s+"</s></p>"+(t?"</prosody>":"")+"</amazon:auto-breaths></speak>"}else s="mac"===e.textToSpeechMarkup&&"mac"===function(t){let e="other";return navigator&&navigator.platform&&navigator.userAgent&&(/^(mac)/i.test(navigator.platform)?e="mac":/^(win)/i.test(navigator.platform)?e="win":/(android)/i.test(navigator.userAgent)?e="android":/(iphone)/i.test(navigator.userAgent)||/(ipod)/i.test(navigator.userAgent)||/(ipad)/i.test(navigator.userAgent)?e="ios":/\bCrOS\b/i.test(navigator.userAgent)&&(e="chromeos")),e===t?t:"!"+t}("mac")?s.replace(/<mark([^\/]*)\/>/g,"").replace(/<emphasis>/g,"[[emph+]]").replace(/<\/emphasis>/g,"").replace(/<break time="([0-9]*)ms"\/>/g,"[[slc $1]]").replace(/<say-as[^>]*>/g,"").replace(/<\/say-as>/g,""):s.replace(/<[^>]*>/g,"").replace(/\s{2,}/g," ");return s},_i.prototype.handleEvent=function(t){switch(t.type){case"focus":this._onFocus(t);break;case"blur":this._onBlur(t);break;case"touchstart":case"mousedown":this._onPointerDown(t);break;case"resize":this._resizeTimer&&window.cancelAnimationFrame(this._resizeTimer),this._resizeTimer=window.requestAnimationFrame(()=>this._onResize());break;case"cut":this._onCut(t);break;case"copy":this._onCopy(t);break;case"paste":this._onPaste(t)}},_i.prototype.revertToOriginalContent=_i.prototype.$revertToOriginalContent=function(){this.element.innerHTML=this.originalContent,this.element.mathfield=null,delete this.accessibleNode,delete this.ariaLiveText,delete this.field,Ai(this.textarea,"cut",this),Ai(this.textarea,"copy",this),Ai(this.textarea,"paste",this),this.textarea.remove(),delete this.textarea,this.virtualKeyboardToggleDOMNode.remove(),delete this.virtualKeyboardToggleDOMNode,Ci(this.popover),Ci(this.keystrokeCaption),Ci(this.virtualKeyboard),Ci(document.getElementById("mathlive-alternate-keys-panel")),Ai(this.element,"touchstart:active mousedown",this),Ai(this.element,"focus",this),Ai(this.element,"blur",this),Ai(window,"resize",this),Ai(window,"focus",this),Ai(window,"blur",this)},_i.prototype._resetKeystrokeBuffer=function(){this.keystrokeBuffer="",this.keystrokeBufferStates=[],clearTimeout(this.keystrokeBufferResetTimer)},_i.prototype._getCaretPosition=function(){const t=function t(e){if(e.classList.contains("ML__caret")||e.classList.contains("ML__text-caret")||e.classList.contains("ML__command-caret"))return e;let s;return Array.from(e.children).forEach(function(e){s=s||t(e)}),s}(this.field);if(t){const e=t.getBoundingClientRect();return{x:e.right+window.scrollX,y:e.bottom+window.scrollY}}return null},_i.prototype._pathFromPoint=function(t,e,s){let i;(s=s||{}).bias=s.bias||0;const a=function t(e,s,i){let a={element:null},o=!0;if(e.getAttribute("data-atom-id")){a.element=e;const t=e.getBoundingClientRect(),n=Math.max(t.left-s,s-t.right),r=Math.max(t.top-i,i-t.bottom);a.distance=n*n+r*r,o=s>=t.left&&s<=t.right}else a.distance=Number.POSITIVE_INFINITY;return o&&e.children&&Array.from(e.children).forEach(function(e){const o=t(e,s,i);o.element&&o.distance<=a.distance&&(a=o)}),a}(this.field,t,e).element,o=a?a.getAttribute("data-atom-id"):null;if(o){const e=this.mathlist.filter(function(t,e){return e.captureSelection?e.filter(t=>t.id===o).length>0:e.id===o});if(e&&e.length>0)if(i=Le.pathFromString(e[0]).path,0===s.bias){const e=a.getBoundingClientRect();t<e.left+e.width/2&&!a.classList.contains("ML__placeholder")&&(i[i.length-1].offset=Math.max(0,i[i.length-1].offset-1))}else s.bias<0&&(i[i.length-1].offset=Math.min(this.mathlist.siblings().length-1,Math.max(0,i[i.length-1].offset+s.bias)))}return i};let Di=0;function Fi(t,e,s){const i=Object.assign({},t.config);return i.textToSpeechMarkup="",e+ge.toSpeakableText(s,i)}function Ei(t,e,s,i){let a="";"plonk"===e?(t.plonkSound&&(t.plonkSound.load(),t.plonkSound.play().catch(t=>void 0)),t._resetKeystrokeBuffer()):"delete"===e?a=Fi(t,"deleted: ",i):"focus"===e||/move/.test(e)?a=(t.mathlist.isCollapsed()?"":"selected: ")+t._nextAtomSpeechText(s):"replacement"===e?a=Fi(t,"",t.mathlist.sibling(0)):"line"===e?(a=Fi(t,"",t.mathlist.root),t.accessibleNode.innerHTML='<math xmlns="http://www.w3.org/1998/Math/MathML">'+ge.toMathML(t.mathlist.root,t.config)+"</math>",t.textarea.setAttribute("aria-label","after: "+a)):a=i?Fi(t,e+" ",i):e;const o=/\u00a0/.test(t.ariaLiveText.textContent)?"   ":"   ";t.ariaLiveText.textContent=a+o}_i.prototype._onPointerDown=function(t){let e;const s=this;let i=!1,a=!1,o=!1;function n(t){Ai(s.field,"touchmove",r),Ai(s.field,"touchend touchleave",n),Ai(window,"mousemove",r),Ai(window,"mouseup blur",n),i=!1,t.preventDefault(),t.stopPropagation()}function r(t){const i=t.touches?t.touches[0].clientX:t.clientX,o=t.touches?t.touches[0].clientY:t.clientY;if(Date.now()<h+500&&Math.abs(l-i)<5&&Math.abs(c-o)<5)return t.preventDefault(),void t.stopPropagation();let n=e;t.touches&&2===t.touches.length&&(n=s._pathFromPoint(t.touches[1].clientX,t.touches[1].clientY,{bias:0}));const r=s._pathFromPoint(i,o,{bias:i<=l?i===l?0:-1:1});r&&s.mathlist.setRange(n,r,{extendToWordBoundary:a})&&requestAnimationFrame(s._render.bind(s)),t.preventDefault(),t.stopPropagation()}t.touches&&1===t.touches.length&&(Ti&&Math.abs(Ti.pageX-t.touches[0].pageX)<5&&Math.abs(Ti.pageY-t.touches[0].pageY)<5&&Date.now()<Li+500?Di+=1:(Ti=t.touches[0],Di=1),Li=Date.now()),Ai(this.field,"touchmove",r),Ai(this.field,"touchend touchleave",n),Ai(window,"mousemove",r),Ai(window,"mouseup blur",n);const l=t.touches?t.touches[0].clientX:t.clientX,c=t.touches?t.touches[0].clientY:t.clientY,h=Date.now(),p=this.element.getBoundingClientRect();if(l>=p.left&&l<=p.right&&c>=p.top&&c<=p.bottom){if(this.hasFocus()||(o=!0,this.textarea.focus&&this.textarea.focus()),this._resetKeystrokeBuffer(),this.smartModeSuppressed=!1,t.buttons&&1!==t.buttons)return;(e=this._pathFromPoint(l,c,{bias:0}))&&(t.shiftKey?(this.mathlist.setRange(this.mathlist.path,e),(e=Le.clone(this.mathlist.path))[e.length-1].offset-=1):this.mathlist.setPath(e,0),o=!0,3===t.detail||Di>2?(Ai(this.field,"touchmove",r),Ai(this.field,"touchend",n),Ai(window,"mousemove",r),Ai(window,"mouseup blur",n),i=!1,3!==t.detail&&3!==Di||this.mathlist.selectAll_()):i||(i=!0,Si(window,"blur",n),t.touches?(Si(t.target,"touchmove",r),Si(t.target,"touchend",n)):(Si(window,"mousemove",r),Si(window,"mouseup",n)),2!==t.detail&&2!==Di||(a=!0,this.mathlist.selectGroup_())))}else Ti=null;o&&this._render(),t.preventDefault()},_i.prototype._onSelectionDidChange=function(){this.mathlist.commitCommandStringBeforeInsertionPoint();let t="";this.mathlist.forEachSelected(e=>{t+=e.toLatex()}),t?(this.textarea.value=t,this.hasFocus()&&this.textarea.select&&this.textarea.select()):(this.textarea.value="",this.textarea.setAttribute("aria-label",""));{const t=this.mode;this.mode=this.mathlist.anchorMode()||this.config.defaultMode,this.mode!==t&&"function"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode)}this.style={},ds.updatePopoverPosition(this,{deferred:!0}),"function"==typeof this.config.onSelectionDidChange&&this.config.onSelectionDidChange(this)},_i.prototype._onContentDidChange=function(){this.undoManager.canRedo()?this.element.classList.add("can-redo"):this.element.classList.remove("can-redo"),this.undoManager.canUndo()?this.element.classList.add("can-undo"):this.element.classList.remove("can-undo"),"function"==typeof this.config.onContentDidChange&&this.config.onContentDidChange(this)},_i.prototype._nextAtomSpeechText=function(t){function e(t,e){return"body"===e.relation?{enclose:"cross out",leftright:"fence",surd:"square root",root:"math field"}[t.type]:{numer:"numerator",denom:"denominator",index:"index",body:"parent",subscript:"subscript",superscript:"superscript"}[e.relation]}const s=t?t.path:[],i=this.mathlist.path,a=i[i.length-1];let o="";for(;s.length>i.length;)o+="out of "+e(t.parent(),s[s.length-1])+"; ",s.pop();if(!this.mathlist.isCollapsed())return Fi(this,"",this.mathlist.getSelectedAtoms());const n=e(this.mathlist.parent(),a);0===a.offset&&(o+=(n?"start of "+n:"unknown")+": ");const r=this.mathlist.sibling(Math.max(1,this.mathlist.extent));return r?o+=Fi(this,"",r):0!==a.offset&&(o+=n?"end of "+n:"unknown"),o},_i.prototype._announce=function(t,e,s){"function"==typeof this.config.onAnnounce&&this.config.onAnnounce(this,t,e,s)},_i.prototype._onFocus=function(){this.blurred&&(this.blurred=!1,this.textarea.focus&&this.textarea.focus(),"onfocus"===this.config.virtualKeyboardMode&&this.showVirtualKeyboard_(),ds.updatePopoverPosition(this),this.config.onFocus&&this.config.onFocus(this),this._render())},_i.prototype._onBlur=function(){this.blurred||(this.blurred=!0,this.ariaLiveText.textContent="","onfocus"===this.config.virtualKeyboardMode&&this.hideVirtualKeyboard_(),ds.updatePopoverPosition(this),this._render(),this.config.onBlur&&this.config.onBlur(this))},_i.prototype._onResize=function(){this.element.classList.remove("ML__isNarrowWidth","ML__isWideWidth","ML__isExtendedWidth"),window.innerWidth>=1024?this.element.classList.add("ML__isExtendedWidth"):window.innerWidth>=768?this.element.classList.add("ML__isWideWidth"):this.element.classList.add("ML__isNarrowWidth"),ds.updatePopoverPosition(this)},_i.prototype.toggleKeystrokeCaption_=function(){this.keystrokeCaptionVisible=!this.keystrokeCaptionVisible,this.keystrokeCaption.innerHTML="",this.keystrokeCaptionVisible||(this.keystrokeCaption.style.visibility="hidden")},_i.prototype._showKeystroke=function(t){const e=this.keystrokeCaption;if(e&&this.keystrokeCaptionVisible){const s=this.element.getBoundingClientRect();e.style.left=s.left+"px",e.style.top=s.top-64+"px",e.innerHTML="<span>"+(Pe.stringify(t)||t)+"</span>"+e.innerHTML,e.style.visibility="visible",setTimeout(function(){e.childNodes.length>0&&e.removeChild(e.childNodes[e.childNodes.length-1]),0===e.childNodes.length&&(e.style.visibility="hidden")},3e3)}},_i.prototype.perform=_i.prototype.$perform=function(t){if(!t)return!1;let e,s=!1,i=[],a=!1;return Array.isArray(t)?(e=t[0],i=t.slice(1)):e=t,e=e.replace(/-\w/g,t=>t[1].toUpperCase()),e+="_","function"==typeof this.mathlist[e]?(/^(delete|transpose|add)/.test(e)&&this._resetKeystrokeBuffer(),/^(delete|transpose|add)/.test(e)&&"command"!==this.mode&&(this.undoManager.pop(),this.undoManager.snapshot(this.config)),this.mathlist[e](...i),/^(delete|transpose|add)/.test(e)&&"command"!==this.mode&&this.undoManager.snapshot(this.config),a=!0,s=!0):"function"==typeof this[e]&&(a=this[e](...i),s=!0),this.mathlist.isCollapsed()&&!/^(transpose|paste|complete|((moveToNextChar|moveToPreviousChar|extend).*))_$/.test(e)||this._resetKeystrokeBuffer(),a&&this._render(),s},_i.prototype.performWithFeedback_=function(t){return this.focus(),this.config.keypressVibration&&navigator.vibrate&&navigator.vibrate(3),"moveToNextPlaceholder"===(t=t.replace(/-\w/g,t=>t[1].toUpperCase()))||"moveToPreviousPlaceholder"===t||"complete"===t?this.returnKeypressSound?(this.returnKeypressSound.load(),this.returnKeypressSound.play().catch(t=>void 0)):this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play().catch(t=>void 0)):("deletePreviousChar"===t||"deleteNextChar"===t||"deletePreviousWord"===t||"deleteNextWord"===t||"deleteToGroupStart"===t||"deleteToGroupEnd"===t||"deleteToMathFieldStart"===t||"deleteToMathFieldEnd"===t)&&this.deleteKeypressSound?(this.deleteKeypressSound.load(),this.deleteKeypressSound.play().catch(t=>void 0)):this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play().catch(t=>void 0)),this.perform(t)},_i.prototype.convertLastAtomsToText_=function(t,e){"function"==typeof t&&(e=t,t=1/0),void 0===t&&(t=1/0);let s=0,i=!1;for(this.mathlist.contentWillChange();!i;){const a=this.mathlist.sibling(s);(i=0===t||!a||"math"!==a.mode||!/mord|textord|mpunct/.test(a.type)||a.superscript||a.subscript||e&&!e(a))||(a.applyStyle({mode:"text"}),a.latex=a.body),s-=1,t-=1}this.mathlist.contentDidChange()},_i.prototype.convertLastAtomsToMath_=function(t,e){"function"==typeof t&&(e=t,t=1/0),void 0===t&&(t=1/0),this.mathlist.contentWillChange();let s=0,i=!1;for(;!i;){const a=this.mathlist.sibling(s);(i=0===t||!a||"text"!==a.mode||" "===a.body||e&&!e(a))||a.applyStyle({mode:"math",type:"mord"}),s-=1,t-=1}this.removeIsolatedSpace_(),this.mathlist.contentDidChange()},_i.prototype.removeIsolatedSpace_=function(){let t=0;for(;this.mathlist.sibling(t)&&"math"===this.mathlist.sibling(t).mode;)t-=1;if(this.mathlist.sibling(t)&&"text"===this.mathlist.sibling(t).mode&&" "===this.mathlist.sibling(t).body&&(!this.mathlist.sibling(t-1)||"math"===this.mathlist.sibling(t-1).mode)){this.mathlist.contentWillChange(),this.mathlist.siblings().splice(t-1,1),this.mathlist.contentDidChange();const e=this.mathlist.suppressChangeNotifications;this.mathlist.suppressChangeNotifications=!0,this.mathlist.setSelection(this.mathlist.anchorOffset()-1),this.mathlist.suppressChangeNotifications=e}},_i.prototype.getTextBeforeAnchor_=function(){let t="",e=0,s=!1;for(;!s;){const i=this.mathlist.sibling(e);(s=!(i&&("text"===i.mode&&!i.type||"math"===i.mode&&/mord|textord|mpunct/.test(i.type))))||(t=i.body+t),e-=1}return t},_i.prototype.smartMode_=function(t,e){if(this.smartModeSuppressed)return!1;if(this.mathlist.endOffset()<this.mathlist.siblings().length-1)return!1;if(!e||e.ctrlKey||e.metaKey)return!1;const s=os.eventToChar(e);if(s.length>1)return!1;if(this.mathlist.isCollapsed()){const e=this.getTextBeforeAnchor_()+s;if("text"===this.mode){if("Esc"===t||/[\/^_\\]/.test(s))return!0;const i={")":"(","}":"{","]":"["}[s];if(i&&this.mathlist.parent()&&"leftright"===this.mathlist.parent().type&&this.mathlist.parent().leftDelim===i)return!0;if(/(^|[^a-zA-Z])(a|I)[ ]$/.test(e))return!1;if(/(^|[^a-zA-Z])[a-zA-Z][ ]$/.test(e))return this.convertLastAtomsToMath_(1),!1;if(/\.\S$/.test(e)){const t=this.mathlist.sibling(0);return t.body="⋅",t.fontFamily="cmr",t.latex="\\cdot",t.mode="math",t.type="mord",!0}if(/(^|\s)[a-zA-Z][^a-zA-Z]$/.test(e))return this.convertLastAtomsToMath_(1),this.removeIsolatedSpace_(),!0;if(/\.[0-9]$/.test(e))return this.convertLastAtomsToMath_(1),!0;if(/[(][0-9+\-.]$/.test(e))return this.convertLastAtomsToMath_(1),this.removeIsolatedSpace_(),!0;if(/[(][a-z][,;]$/.test(e))return this.convertLastAtomsToMath_(2),this.removeIsolatedSpace_(),!0;if(/[0-9+\-=><*|]$/.test(s))return this.removeIsolatedSpace_(),!0}else{if("Spacebar"===t)return this.convertLastAtomsToText_(t=>/[a-z][:,;.]$/.test(t.body)),!0;if(/[a-zA-Z]{3,}$/.test(e)&&!/dxd$/.test(e))return this.convertLastAtomsToText_(t=>/[a-zA-Z:,;.]/.test(t.body)),!0;if(/(^|\W)(if|If)$/i.test(e))return this.convertLastAtomsToText_(1),!0;if(/\?|\./.test(s))return!0}}return!1},_i.prototype._onKeystroke=function(t,e){if(this._showKeystroke(t),clearTimeout(this.keystrokeBufferResetTimer),this.config.onKeystroke&&!this.config.onKeystroke(this,t,e))return e&&e.preventDefault&&(e.preventDefault(),e.stopPropagation()),!1;let s,i,a,o=!1;if("command"!==this.mode&&(!e||!e.ctrlKey&&!e.metaKey)){const t=os.eventToChar(e);if("Backspace"!==t)if(!t||t.length>1)this._resetKeystrokeBuffer();else{const e=this.keystrokeBuffer+t;let a=0;for(;!s&&a<e.length;){const t=this.keystrokeBufferStates[a]?Ce.parseTokens(x.tokenize(this.keystrokeBufferStates[a].latex),this.config.default,null,this.config.macros):this.mathlist.siblings();s=Pe.forString(t,e.slice(a),this.config),a+=1}i=a-1,this.keystrokeBuffer+=t,this.keystrokeBufferStates.push(this.undoManager.save()),Pe.startsWithString(e,this.config).length<=1?o=!0:this.config.inlineShortcutTimeout&&(this.keystrokeBufferResetTimer=setTimeout(()=>{this._resetKeystrokeBuffer()},this.config.inlineShortcutTimeout))}}if(this.config.smartMode){const i=this.mode;s?this.mode="math":this.smartMode_(t,e)&&(this.mode={math:"text",text:"math"}[this.mode],a=""),this.mode!==i&&"function"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode)}if(s||a||(a=Pe.selectorForKeystroke(this.mode,t)),!s&&!a)return!0;this.mathlist.decorateCommandStringAroundInsertionPoint(!1);const n=this.mathlist.parent();if("moveAfterParent"===a&&n&&"leftright"===n.type&&this.mathlist.endOffset()===this.mathlist.siblings().length-1&&this.mathlist._insertSmartFence(".")&&(a="",this._render()),"math"===this.mode&&"Spacebar"===t){const t=this.mathlist.sibling(1),e=this.mathlist.sibling(-1);(t&&"text"===t.mode||e&&"text"===e.mode)&&this.mathlist.insert(" ",{mode:"text"})}if((a&&!this.perform(a)||s)&&s){if(!/^(\\{|\\}|\\[|\\]|\\@|\\#|\\$|\\%|\\^|\\_|\\backslash)$/.test(s)){const t={...this.mathlist.anchorStyle(),...this.style};this.mathlist.insert(os.eventToChar(e),{suppressChangeNotifications:!0,mode:this.mode,style:t});const s=this.mode;this.undoManager.snapshotAndCoalesce(this.config),this.undoManager.restore(this.keystrokeBufferStates[i],{...this.config,suppressChangeNotifications:!0}),this.mode=s}this.mathlist.contentWillChange();const t=this.mathlist.suppressChangeNotifications;this.mathlist.suppressChangeNotifications=!0;const a={...this.mathlist.anchorStyle(),...this.style};this.mathlist._insertSmartFence(s,a)||this.mathlist.insert(s,{format:"latex",mode:this.mode,style:a}),this.removeIsolatedSpace_(),this.mathlist.suppressChangeNotifications=t,this.mathlist.contentDidChange(),this.undoManager.snapshot(this.config),this._render(),this._announce("replacement"),o&&this._resetKeystrokeBuffer()}return e&&e.preventDefault&&(e.preventDefault(),e.stopPropagation()),!1},_i.prototype._onTypedText=function(t,e){if((e=e||{}).focus&&this.focus(),e.feedback&&(this.config.keypressVibration&&navigator.vibrate&&navigator.vibrate(3),this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play().catch(t=>void 0))),e.commandMode&&"command"!==this.mode&&this.switchMode_("command"),this.mathlist.decorateCommandStringAroundInsertionPoint(!1),e.simulateKeystroke){const e=t.charAt(0),s=os.charToEvent(e);if(!this.$keystroke(os.keyboardEventToString(s),s))return}let s="",i=!1;if(this.pasteInProgress)this.pasteInProgress=!1,this.mathlist.insert(t,{smartFence:this.config.smartFence,mode:"math"});else{const e={...this.mathlist.anchorStyle(),...this.style},a=y.splitGraphemes(t);for(const t of a)if("command"===this.mode){this.mathlist.removeSuggestion(),this.suggestionIndex=0;const e=this.mathlist.extractCommandStringAroundInsertionPoint(),a=Nt.suggest(e+t);i=a.length>1,0===a.length?(this.mathlist.insert(t,{mode:"command"}),/^\\[a-zA-Z\\*]+$/.test(e+t)&&this.mathlist.decorateCommandStringAroundInsertionPoint(!0),ds.hidePopover(this)):(this.mathlist.insert(t,{mode:"command"}),a[0].match!==e+t&&this.mathlist.insertSuggestion(a[0].match,-a[0].match.length+e.length+1),s=a[0].match)}else if("math"===this.mode){const s={"^":"moveToSuperscript",_:"moveToSubscript"," ":"moveAfterParent"}[t];if(s){if("moveToSuperscript"===s){if(this._superscriptDepth()>=this.config.scriptDepth[1])return void this._announce("plonk")}else if("moveToSubscript"===s&&this._subscriptDepth()>=this.config.scriptDepth[0])return void this._announce("plonk");this.perform(s)}else this.config.smartSuperscript&&"superscript"===this.mathlist.relation()&&/[0-9]/.test(t)&&0===this.mathlist.siblings().filter(t=>"first"!==t.type).length?(this.mathlist.insert(t,{mode:"math",style:e}),this.mathlist.moveAfterParent_()):this.mathlist._insertSmartFence(t,e)||this.mathlist.insert(t,{mode:"math",style:e})}else"text"===this.mode&&this.mathlist.insert(t,{mode:"text",style:e})}"command"!==this.mode&&this.undoManager.snapshotAndCoalesce(this.config),this._render(),ds.showPopoverWithLatex(this,s,i)},_i.prototype._hash=function(){let t=0;const e=this.mathlist.root.toLatex(!1);for(let s=0;s<e.length;s++)t=31*t+e.charCodeAt(s),t|=0;return Math.abs(t)},_i.prototype._render=function(t){t=t||{},window.mathlive||(window.mathlive={}),this.mathlist.anchor()||(this.mathlist.path=[{relation:"body",offset:0}]),this.mathlist.forEach(t=>{t.caret="",t.isSelected=!1});const e=this.hasFocus();this.mathlist.isCollapsed()?this.mathlist.anchor().caret=e?this.mode:"":this.mathlist.forEachSelected(t=>{t.isSelected=!0});const s=ge.decompose({mathstyle:"displaystyle",generateID:{seed:this._hash(),groupNumbers:t.forHighlighting},macros:this.config.macros},this.mathlist.root),i=ot.makeSpan(s,"ML__base");i.attributes={translate:"no","aria-hidden":"true"};const a=ot.makeSpan("","ML__strut");a.setStyle("height",i.height,"em");const o=[a];if(0!==i.depth){const t=ot.makeSpan("","ML__strut--bottom");t.setStyle("height",i.height+i.depth,"em"),t.setStyle("vertical-align",-i.depth,"em"),o.push(t)}o.push(i);const n=ot.makeSpan(o,"ML__mathlive");this.field.innerHTML=n.toMarkup(0,this.config.horizontalSpacingScale),this.field.classList.toggle("ML__focused",e),this.accessibleNode.innerHTML="<math xmlns='http://www.w3.org/1998/Math/MathML'>"+ge.toMathML(this.mathlist.root,this.config)+"</math>";const r=this.field.querySelectorAll(".ML__selected");if(r&&r.length>0){const t={top:1/0,bottom:-1/0,left:1/0,right:-1/0};r.forEach(e=>{if(e.classList.contains("ML__selected")){const s=e.getBoundingClientRect();s.left<t.left&&(t.left=s.left),s.right>t.right&&(t.right=s.right),s.bottom>t.bottom&&(t.bottom=s.bottom),s.top<t.top&&(t.top=s.top)}});const e=this.field.getBoundingClientRect(),s=document.createElement("div");s.classList.add("ML__selection"),s.style.position="absolute",s.style.left=t.left-e.left+"px",s.style.top=t.top-e.top+"px",s.style.width=t.right-t.left+"px",s.style.height=t.bottom-t.top+"px",this.field.insertBefore(s,this.field.childNodes[0])}this.scrollIntoView_()},_i.prototype._onPaste=function(){return this.pasteInProgress=!0,!0},_i.prototype._onCut=function(){return setTimeout(function(){this.clearSelection(),this._render()}.bind(this),0),!0},_i.prototype._onCopy=function(t){this.mathlist.isCollapsed()?(t.clipboardData.setData("text/plain",this.$text("latex-expanded")),t.clipboardData.setData("application/json",this.$text("json")),t.clipboardData.setData("application/xml",this.$text("mathML"))):(t.clipboardData.setData("text/plain",this.$selectedText("latex-expanded")),t.clipboardData.setData("application/json",this.$selectedText("json")),t.clipboardData.setData("application/xml",this.$selectedText("mathML"))),t.preventDefault()},_i.prototype.formatMathlist=function(t,e){let s="";if("latex"===(e=e||"latex")||"latex-expanded"===e)s=t.toLatex("latex-expanded"===e);else if("mathML"===e)s=t.toMathML(this.config);else if("spoken"===e)s=ge.toSpeakableText(t,this.config);else if("spoken-text"===e){const e=this.config.textToSpeechMarkup;this.config.textToSpeechMarkup="",s=ge.toSpeakableText(t,this.config),this.config.textToSpeechMarkup=e}else if("spoken-ssml"===e){const e=this.config.textToSpeechMarkup;this.config.textToSpeechMarkup="ssml",s=ge.toSpeakableText(t,this.config),this.config.textToSpeechMarkup=e}else if("json"===e){const e=ge.toAST(t,this.config);s=JSON.stringify(e)}else"ASCIIMath"===e&&(s=function t(e,s){if(!e)return"";if(Array.isArray(e)){let i="";if(0===e.length)return"";if("first"===e[0].type&&e.shift(),"text"===e[0].mode){let a=0;for(i='"';e[a]&&"text"===e[a].mode;)i+=e[a].body,a++;i+='"'+t(e.slice(a),s)}else{let a=0;for(;e[a]&&"math"===e[a].mode;)i+=t(e[a],s),a++;i+=t(e.slice(a),s)}return i.trim()}let i="";const a=e.latex?e.latex.trim():null;let o;switch(e.type){case"group":case"root":i=t(e.body,s);break;case"array":break;case"genfrac":(e.leftDelim||e.rightDelim)&&(i+="."!==e.leftDelim&&e.leftDelim?e.leftDelim:"{:"),e.hasBarLine?(i+="(",i+=t(e.numer,s),i+=")/(",i+=t(e.denom,s),i+=")"):(i+="("+t(e.numer,s)+"),",i+="("+t(e.denom,s)+")"),(e.leftDelim||e.rightDelim)&&(i+="."!==e.rightDelim&&e.rightDelim?e.rightDelim:"{:");break;case"surd":e.index?i+="root("+t(e.index,s)+")("+t(e.body,s)+")":i+="sqrt("+t(e.body,s)+")";break;case"leftright":i+="."!==e.leftDelim&&e.leftDelim?e.leftDelim:"{:",i+=t(e.body,s),i+="."!==e.rightDelim&&e.rightDelim?e.rightDelim:"{:";break;case"sizeddelim":case"delim":case"accent":break;case"line":case"overlap":case"overunder":break;case"mord":"\\"===(i=Ms[a]||a||("string"==typeof e.body?e.body:""))[0]&&(i+=""),(o=a?a.match(/[{]?\\char"([0-9abcdefABCDEF]*)[}]?/):null)?i=String.fromCharCode(parseInt("0x"+o[1])):i.length>0&&"\\"===i.charAt(0)&&(i="string"==typeof e.body?e.body.charAt(0):e.latex);break;case"mbin":case"mrel":case"textord":case"minner":i=a&&Ms[a]?Ms[a]:a&&Cs[a]?Cs[a]:e.body;break;case"mopen":case"mclose":i+=e.body;break;case"mpunct":i=Cs[a]||a;break;case"mop":"​"!==e.body&&(i="",i+="\\operatorname"===a?e.body:e.body||a,i+=" ");break;case"mathstyle":case"box":case"spacing":case"enclose":case"sizing":break;case"space":i=" "}if(e.subscript){i+="_";const a=t(e.subscript,s);a.length>1&&!/^(-)?\d+(\.\d*)?$/.test(a)?i+="("+a+")":i+=a}if(e.superscript){i+="^";const a=t(e.superscript,s);a.length>1&&!/^(-)?\d+(\.\d*)?$/.test(a)?i+="("+a+")":i+=a}return i}(t,this.config));return s},_i.prototype.text=_i.prototype.$text=function(t){return this.formatMathlist(this.mathlist.root,t)},_i.prototype.selectedText=_i.prototype.$selectedText=function(t){const e=this.mathlist.getSelectedAtoms();if(!e)return"";const s=ge.makeRoot(e[0].mode,e);return this.formatMathlist(s,t)},_i.prototype.selectionIsCollapsed=_i.prototype.$selectionIsCollapsed=function(){return this.mathlist.isCollapsed()},_i.prototype.selectionDepth=_i.prototype.$selectionDepth=function(){return this.mathlist.path.length},_i.prototype._superscriptDepth=function(){let t=0,e=0,s=this.mathlist.ancestor(e),i=!1;for(;s;)(s.superscript||s.subscript)&&(t+=1),s.superscript?i=!0:s.subscript&&(i=!1),e+=1,s=this.mathlist.ancestor(e);return i?t:0},_i.prototype._subscriptDepth=function(){let t=0,e=0,s=this.mathlist.ancestor(e),i=!1;for(;s;)(s.superscript||s.subscript)&&(t+=1),s.superscript?i=!1:s.subscript&&(i=!0),e+=1,s=this.mathlist.ancestor(e);return i?t:0},_i.prototype.selectionAtStart=_i.prototype.$selectionAtStart=function(){return 0===this.mathlist.startOffset()},_i.prototype.selectionAtEnd=_i.prototype.$selectionAtEnd=function(){return this.mathlist.endOffset()>=this.mathlist.siblings().length-1},_i.prototype.groupIsSelected=function(){return 0===this.mathlist.startOffset()&&this.mathlist.endOffset()>=this.mathlist.siblings().length-1},_i.prototype.latex=_i.prototype.$latex=function(t,e){if(t){return t!==this.mathlist.root.toLatex()&&(e=e||{},this.mathlist.insert(t,Object.assign({},this.config,{insertionMode:"replaceAll",selectionMode:"after",format:"latex",mode:"math",suppressChangeNotifications:e.suppressChangeNotifications})),this.undoManager.snapshot(this.config),this._render()),t}return this.mathlist.root.toLatex()},_i.prototype.el=_i.prototype.$el=function(){return this.element},_i.prototype.undo_=_i.prototype.undo=function(){return this.complete_(),this.undoManager.undo(this.config),!0},_i.prototype.redo_=_i.prototype.redo=function(){return this.complete_(),this.undoManager.redo(this.config),!0},_i.prototype.scrollIntoView_=_i.prototype.scrollIntoView=function(){return!1},_i.prototype.scrollToStart_=_i.prototype.scrollToStart=function(){return!0},_i.prototype.scrollToEnd_=_i.prototype.scrollToEnd=function(){return!0},_i.prototype.enterCommandMode_=function(){this.switchMode_("command")},_i.prototype.copyToClipboard_=function(){return this.focus(),this.mathlist.isCollapsed()&&this.select(),document.execCommand("copy"),!1},_i.prototype.cutToClipboard_=function(){return this.focus(),document.execCommand("cut"),!0},_i.prototype.pasteFromClipboard_=function(){return this.focus(),document.execCommand("paste"),!0},_i.prototype.insert_=_i.prototype.insert=_i.prototype.$insert=function(t,e){if("string"==typeof t&&t.length>0){if((e=e||{}).focus&&this.focus(),e.feedback&&(this.config.keypressVibration&&navigator.vibrate&&navigator.vibrate(3),this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play())),"\\\\"===t)this.mathlist.addRowAfter_();else if("&"===t)this.mathlist.addColumnAfter_();else{const s=this.style;this.style.fontFamily||(this.style.fontFamily="math"),this.mathlist.insert(t,{mode:this.mode,style:this.mathlist.anchorStyle(),...e}),e.resetStyle&&(this.style=s)}return this.undoManager.snapshot(this.config),!0}return!1},_i.prototype.switchMode_=function(t,e,s){this._resetKeystrokeBuffer(),this.smartModeSuppressed=!0,e&&this.insert(e,{format:"latex",mode:{math:"text",text:"math"}[t]}),this.mathlist.decorateCommandStringAroundInsertionPoint(!1),"command"===t?(this.mathlist.removeSuggestion(),ds.hidePopover(this),this.suggestionIndex=0,this.virtualKeyboardVisible&&this.switchKeyboardLayer_("lower-command"),this.mathlist.insert("",{mode:"math"})):this.mode=t,s&&this.insert(s,{format:"latex",mode:t}),"function"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode),this._render()},_i.prototype.complete_=function(t){if(t=t||{},ds.hidePopover(this),t.discard)return this.mathlist.spliceCommandStringAroundInsertionPoint(null),this.switchMode_("math"),!0;const e=this.mathlist.extractCommandStringAroundInsertionPoint(!t.acceptSuggestion);if(e){if("\\("===e||"\\)"===e)this.mathlist.spliceCommandStringAroundInsertionPoint([]),this.mathlist.insert(e.slice(1),{mode:this.mode});else{const t="math";if(Nt.commandAllowed(t,e)){const s=Ce.parseTokens(x.tokenize(e),t,null,this.config.macros);this.mathlist.spliceCommandStringAroundInsertionPoint(s)}else{const s=Ce.parseTokens(x.tokenize(e),t,null,this.config.macros);s?this.mathlist.spliceCommandStringAroundInsertionPoint(s):this.mathlist.decorateCommandStringAroundInsertionPoint(!0)}}return this.undoManager.snapshot(this.config),this._announce("replacement"),!0}return!1},_i.prototype._updateSuggestion=function(){this.mathlist.positionInsertionPointAfterCommitedCommand(),this.mathlist.removeSuggestion();const t=this.mathlist.extractCommandStringAroundInsertionPoint(),e=Nt.suggest(t);if(0===e.length)ds.hidePopover(this),this.mathlist.decorateCommandStringAroundInsertionPoint(!0);else{const s=this.suggestionIndex%e.length,i=t.length-e[s].match.length;0!==i&&this.mathlist.insertSuggestion(e[s].match,i),ds.showPopoverWithLatex(this,e[s].match,e.length>1)}this._render()},_i.prototype.nextSuggestion_=function(){return this.suggestionIndex+=1,this._updateSuggestion(),!1},_i.prototype.previousSuggestion_=function(){if(this.suggestionIndex-=1,this.suggestionIndex<0){this.mathlist.removeSuggestion();const t=this.mathlist.extractCommandStringAroundInsertionPoint(),e=Nt.suggest(t);this.suggestionIndex=e.length-1}return this._updateSuggestion(),!1},_i.prototype._attachButtonHandlers=function(t,e){const s=this;let i,a,o,n,r;"object"==typeof e&&(e.default||e.pressed)?(e.default&&t.setAttribute("data-"+this.config.namespace+"command",JSON.stringify(e.default)),e.alt&&t.setAttribute("data-"+this.config.namespace+"command-alt",JSON.stringify(e.alt)),e.altshift&&t.setAttribute("data-"+this.config.namespace+"command-altshift",JSON.stringify(e.altshift)),e.shift&&t.setAttribute("data-"+this.config.namespace+"command-shift",JSON.stringify(e.shift)),e.pressed&&t.setAttribute("data-"+this.config.namespace+"command-pressed",JSON.stringify(e.pressed)),e.pressAndHoldStart&&t.setAttribute("data-"+this.config.namespace+"command-pressAndHoldStart",JSON.stringify(e.pressAndHoldStart)),e.pressAndHoldEnd&&t.setAttribute("data-"+this.config.namespace+"command-pressAndHoldEnd",JSON.stringify(e.pressAndHoldEnd))):t.setAttribute("data-"+this.config.namespace+"command",JSON.stringify(e)),Si(t,"mousedown touchstart:passive",function(e){if("mousedown"!==e.type||1===e.buttons){e.stopPropagation(),t.classList.add("pressed"),i=Date.now(),"touchstart"===e.type&&(o=e.changedTouches[0].identifier);const n=t.getAttribute("data-"+s.config.namespace+"command-pressed");n&&s.perform(JSON.parse(n));const l=t.getAttribute("data-"+s.config.namespace+"command-pressAndHoldStart");l&&(a=t,r&&clearTimeout(r),r=window.setTimeout(function(){t.classList.contains("pressed")&&s.perform(JSON.parse(l))},300))}}),Si(t,"mouseleave touchcancel",function(){t.classList.remove("pressed")}),Si(t,"touchmove:passive",function(t){t.preventDefault();for(let e=0;e<t.changedTouches.length;e++)if(t.changedTouches[e].identifier===o){const s=document.elementFromPoint(t.changedTouches[e].clientX,t.changedTouches[e].clientY);s!==n&&n&&(n.dispatchEvent(new MouseEvent("mouseleave"),{bubbles:!0}),n=null),s&&(n=s,s.dispatchEvent(new MouseEvent("mouseenter",{bubbles:!0,buttons:1})))}}),Si(t,"mouseenter",function(e){1===e.buttons&&t.classList.add("pressed")}),Si(t,"mouseup touchend click",function(e){if(n){e.stopPropagation(),e.preventDefault();const t=n;return n=null,void t.dispatchEvent(new MouseEvent("mouseup",{bubbles:!0}))}if(t.classList.remove("pressed"),t.classList.add("active"),"click"===e.type&&0!==e.detail)return e.stopPropagation(),void e.preventDefault();window.setTimeout(function(){t.classList.remove("active")},150);let o=t.getAttribute("data-"+s.config.namespace+"command-pressAndHoldEnd");const r=Date.now();(t!==a||r<i+300)&&(o=void 0),!o&&e.altKey&&e.shiftKey&&(o=t.getAttribute("data-"+s.config.namespace+"command-altshift")),!o&&e.altKey&&(o=t.getAttribute("data-"+s.config.namespace+"command-alt")),!o&&e.shiftKey&&(o=t.getAttribute("data-"+s.config.namespace+"command-shift")),o||(o=t.getAttribute("data-"+s.config.namespace+"command")),o&&s.perform(JSON.parse(o)),e.stopPropagation(),e.preventDefault()})},_i.prototype._makeButton=function(t,e,s,i){const a=document.createElement("span");return a.innerHTML=t,e&&a.classList.add([].slice.call(e.split(" "))),s&&a.setAttribute("aria-label",s),this._attachButtonHandlers(a,i),a},_i.prototype.showAlternateKeys_=function(t,e){const s=Mi("mathlive-alternate-keys-panel","ML__keyboard alternate-keys");this.virtualKeyboard.classList.contains("material")&&s.classList.add("material"),e.length>=7?s.style.width="286px":4===e.length||2===e.length?s.style.width="146px":1===e.length?s.style.width="86px":s.style.width="146px",s.style.height="auto";let i="";for(const t of e)i+="<li","string"==typeof t?i+=' data-latex="'+t.replace(/"/g,"&quot;")+'"':(t.latex&&(i+=' data-latex="'+t.latex.replace(/"/g,"&quot;")+'"'),t.content&&(i+=' data-content="'+t.content.replace(/"/g,"&quot;")+'"'),t.insert&&(i+=' data-insert="'+t.insert.replace(/"/g,"&quot;")+'"'),t.command&&(i+=" data-command='"+t.command.replace(/"/g,"&quot;")+"'"),t.aside&&(i+=' data-aside="'+t.aside.replace(/"/g,"&quot;")+'"'),t.classes&&(i+=' data-classes="'+t.classes+'"')),i+=">",i+=t.label||"",i+="</li>";i="<ul>"+i+"</ul>",s.innerHTML=i,As.makeKeycap(this,s.getElementsByTagName("li"),"performAlternateKeys");const a=this.virtualKeyboard.querySelector('div.keyboard-layer.is-visible div.rows ul li[data-alt-keys="'+t+'"]').getBoundingClientRect();if(a){a.top-s.clientHeight<0&&(s.style.width="auto",e.length<=6?s.style.height="56px":e.length<=12?s.style.height="108px":s.style.height="205px");const t=(a.top-s.clientHeight+5).toString()+"px",i=Math.max(0,Math.min(window.innerWidth-s.offsetWidth,(a.left+a.right-s.offsetWidth)/2))+"px";s.style.transform="translate("+i+","+t+")",s.classList.add("is-visible")}return!1},_i.prototype.hideAlternateKeys_=function(){const t=document.getElementById("mathlive-alternate-keys-panel");return t&&(t.classList.remove("is-visible"),t.innerHTML="",Ci(t)),!1},_i.prototype.performAlternateKeys_=function(t){return this.hideAlternateKeys_(),this.perform(t)},_i.prototype.switchKeyboardLayer_=function(t){if("off"!==this.config.virtualKeyboardMode){"lower-command"!==t&&"upper-command"!==t&&"symbols-command"!==t&&this.complete_(),this.showVirtualKeyboard_(),this.hideAlternateKeys_(),this.unshiftKeyboardLayer_();const e=this.virtualKeyboard.getElementsByClassName("keyboard-layer");let s=!1;for(let i=0;i<e.length;i++)if(e[i].id===t){s=!0;break}if(s)for(let s=0;s<e.length;s++)e[s].id===t?e[s].classList.add("is-visible"):e[s].classList.remove("is-visible");this.focus()}return!0},_i.prototype.shiftKeyboardLayer_=function(){const t=this.virtualKeyboard.querySelectorAll("div.keyboard-layer.is-visible .rows .keycap, div.keyboard-layer.is-visible .rows .action");if(t)for(let e=0;e<t.length;e++){const s=t[e];let i=s.getAttribute("data-shifted");if(i||/^[a-z]$/.test(s.innerHTML)){s.setAttribute("data-unshifted-content",s.innerHTML),i||(i=s.innerHTML.toUpperCase()),s.innerHTML=i;const t=s.getAttribute("data-"+this.config.namespace+"command");if(t){s.setAttribute("data-unshifted-command",t);const e=s.getAttribute("data-shifted-command");if(e)s.setAttribute("data-"+this.config.namespace+"command",e);else{const e=JSON.parse(t);Array.isArray(e)&&(e[1]=e[1].toUpperCase()),s.setAttribute("data-"+this.config.namespace+"command",JSON.stringify(e))}}}}return!1},_i.prototype.unshiftKeyboardLayer_=function(){const t=this.virtualKeyboard.querySelectorAll("div.keyboard-layer.is-visible .rows .keycap, div.keyboard-layer.is-visible .rows .action");if(t)for(let e=0;e<t.length;e++){const s=t[e],i=s.getAttribute("data-unshifted-content");i&&(s.innerHTML=i);const a=s.getAttribute("data-unshifted-command");a&&s.setAttribute("data-"+this.config.namespace+"command",a)}return!1},_i.prototype.insertAndUnshiftKeyboardLayer_=function(t){return this.insert_(t),this.unshiftKeyboardLayer_(),!0},_i.prototype.toggleVirtualKeyboardAlt_=function(){let t=!1;return this.virtualKeyboard&&(t=this.virtualKeyboard.classList.contains("material"),this.virtualKeyboard.remove(),delete this.virtualKeyboard,this.virtualKeyboard=null),this.showVirtualKeyboard_(t?"":"material"),!1},_i.prototype.toggleVirtualKeyboardShift_=function(){this.config.virtualKeyboardLayout={qwerty:"azerty",azerty:"qwertz",qwertz:"dvorak",dvorak:"colemak",colemak:"qwerty"}[this.config.virtualKeyboardLayout];let t=this.virtualKeyboard?this.virtualKeyboard.querySelector("div.keyboard-layer.is-visible"):null;return t=t?t.id:"",this.virtualKeyboard&&(this.virtualKeyboard.remove(),delete this.virtualKeyboard,this.virtualKeyboard=null),this.showVirtualKeyboard_(),t&&this.switchKeyboardLayer_(t),!1},_i.prototype.showVirtualKeyboard_=function(t){return this.virtualKeyboardVisible=!1,this.toggleVirtualKeyboard_(t),!1},_i.prototype.hideVirtualKeyboard_=function(){return this.virtualKeyboardVisible=!0,this.toggleVirtualKeyboard_(),!1},_i.prototype.toggleVirtualKeyboard_=function(t){if(this.virtualKeyboardVisible=!this.virtualKeyboardVisible,this.virtualKeyboardVisible){this.virtualKeyboard?this.virtualKeyboard.classList.add("is-visible"):(this.virtualKeyboard=As.make(this,t),Si(this.virtualKeyboard,"touchstart:passive mousedown",function(){e.focus()}),document.body.appendChild(this.virtualKeyboard));const e=this;window.setTimeout(function(){e.virtualKeyboard.classList.add("is-visible")},1)}else this.virtualKeyboard&&this.virtualKeyboard.classList.remove("is-visible");return"function"==typeof this.config.onVirtualKeyboardToggle&&this.config.onVirtualKeyboardToggle(this,this.virtualKeyboardVisible,this.virtualKeyboard),!1},_i.prototype.$applyStyle=_i.prototype.applyStyle_=function(t){if(this._resetKeystrokeBuffer(),t.mode)if(this.mathlist.isCollapsed())this.switchMode_("math"===this.mode?"text":"math");else{const t=this.mode,e="math"===(this.mathlist.anchorMode()||this.config.default)?"text":"math";let s=this.$selectedText("ASCIIMath");if("math"===e&&/^"[^"]+"$/.test(s)&&(s=s.slice(1,-1)),this.insert(s,{mode:e,selectionMode:"item",format:"text"===e?"text":"ASCIIMath"}),this.mode=e,this.groupIsSelected()){const t=this.mathlist.parent();!t||"group"!==t.type&&"root"!==t.type||(t.mode=e)}this.mode!==t&&"function"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode)}else this.mathlist.isCollapsed()?this.style=t:(this.mathlist._applyStyle(t),this.undoManager.snapshot(this.config));return!0},_i.prototype.hasFocus=_i.prototype.$hasFocus=function(){return document.hasFocus()&&document.activeElement===this.textarea},_i.prototype.focus=_i.prototype.$focus=function(){this.hasFocus()||(this.textarea.focus&&this.textarea.focus(),this._announce("line"))},_i.prototype.blur=_i.prototype.$blur=function(){this.hasFocus()&&this.textarea.blur&&this.textarea.blur()},_i.prototype.select=_i.prototype.$select=function(){this.mathlist.selectAll_()},_i.prototype.clearSelection=_i.prototype.$clearSelection=function(){this.mathlist.delete_()},_i.prototype.keystroke=_i.prototype.$keystroke=function(t,e){return this._onKeystroke(t,e)},_i.prototype.typedText=_i.prototype.$typedText=function(t){this._onTypedText(t)},_i.prototype.typedText_=function(t,e){return this._onTypedText(t,e)},_i.prototype.setConfig=_i.prototype.$setConfig=function(t){if(this.config||(this.config={smartFence:!0,smartSuperscript:!0,scriptDepth:[1/0,1/0],removeExtraneousParentheses:!0,overrideDefaultInlineShortcuts:!1,virtualKeyboard:"",virtualKeyboardLayout:"qwerty",namespace:""}),this.config={...this.config,...t},!Array.isArray(this.config.scriptDepth)){const t=parseInt(this.config.scriptDepth);this.config.scriptDepth=[t,t]}if(void 0===this.config.removeExtraneousParentheses&&(this.config.removeExtraneousParentheses=!0),this.config.onAnnounce=t.onAnnounce||Ei,this.config.macros=Object.assign({},Nt.MACROS,this.config.macros),!/^[a-z]*[-]?$/.test(this.config.namespace))throw Error("options.namespace must be a string of lowercase characters only");/-$/.test(this.config.namespace)||(this.config.namespace+="-"),us.locale=this.config.locale||us.locale,us.merge(this.config.strings),this.keypressSound=void 0,this.spacebarKeypressSound=void 0,this.returnKeypressSound=void 0,this.deleteKeypressSound=void 0,this.config.keypressSound&&("string"==typeof this.config.keypressSound?(this.keypressSound=new Audio,this.keypressSound.preload="none",this.keypressSound.src=this.config.keypressSound,this.keypressSound.volume=.5,this.spacebarKeypressSound=this.keypressSound,this.returnKeypressSound=this.keypressSound,this.deleteKeypressSound=this.keypressSound):(this.keypressSound=new Audio,this.keypressSound.preload="none",this.keypressSound.src=this.config.keypressSound.default,this.keypressSound.volume=.5,this.spacebarKeypressSound=this.keypressSound,this.returnKeypressSound=this.keypressSound,this.deleteKeypressSound=this.keypressSound,this.config.keypressSound.spacebar&&(this.spacebarKeypressSound=new Audio,this.spacebarKeypressSound.preload="none",this.spacebarKeypressSound.src=this.config.keypressSound.spacebar,this.spacebarKeypressSound.volume=.5),this.config.keypressSound.return&&(this.returnKeypressSound=new Audio,this.returnKeypressSound.preload="none",this.returnKeypressSound.src=this.config.keypressSound.return,this.returnKeypressSound.volume=.5),this.config.keypressSound.delete&&(this.deleteKeypressSound=new Audio,this.deleteKeypressSound.preload="none",this.deleteKeypressSound.src=this.config.keypressSound.delete,this.deleteKeypressSound.volume=.5))),this.config.plonkSound&&(this.plonkSound=new Audio,this.plonkSound.preload="none",this.plonkSound.src=this.config.plonkSound,this.plonkSound.volume=.5)},_i.prototype._speakWithSynchronizedHighlighting=function(t){this.config.handleReadAloud&&this.config.handleReadAloud(this.field,t,this.config)},_i.prototype._speak=function(t){this.config.handleSpeak&&this.config.handleSpeak(t,this.config)},_i.prototype.speakSelection_=function(){let t="Nothing selected.";return this.mathlist.isCollapsed()||(t=ge.toSpeakableText(this.mathlist.getSelectedAtoms(),this.config)),this._speak(t),!1},_i.prototype.speakSelectionWithSynchronizedHighlighting_=function(){if(this.mathlist.isCollapsed())this._speak("Nothing selected.");else{window.mathlive.readAloudMathField=this,this._render({forHighlighting:!0});const t=this.config;t.textToSpeechMarkup=window.sre&&"sre"===t.textToSpeechRules?"ssml_step":"ssml";const e=ge.toSpeakableText(this.mathlist.getSelectedAtoms(),t);this._speakWithSynchronizedHighlighting(e)}return!1},_i.prototype.speakParent_=function(){let t="No parent.";const e=this.mathlist.parent();return e&&"root"!==e.type&&(t=ge.toSpeakableText(this.mathlist.parent(),this.config)),this._speak(t),!1},_i.prototype.speakRightSibling_=function(){let t="At the end.";const e=this.mathlist.siblings(),s=this.mathlist.startOffset()+1;if(s<e.length-1){const i=[];for(let t=s;t<=e.length-1;t++)i.push(e[t]);t=ge.toSpeakableText(i,this.config)}return this._speak(t),!1},_i.prototype.speakLeftSibling_=function(){let t="At the beginning.";const e=this.mathlist.siblings(),s=this.mathlist.isCollapsed()?this.mathlist.startOffset():this.mathlist.startOffset()-1;if(s>=1){const i=[];for(let t=1;t<=s;t++)i.push(e[t]);t=ge.toSpeakableText(i,this.config)}return this._speak(t),!1},_i.prototype.speakGroup_=function(){return this._speak(ge.toSpeakableText(this.mathlist.siblings(),this.config)),!1},_i.prototype.speakAll_=function(){return this._speak(ge.toSpeakableText(this.mathlist.root,this.config)),!1},_i.prototype.speakAllWithSynchronizedHighlighting_=function(){window.mathlive.readAloudMathField=this,this._render({forHighlighting:!0});const t=this.config;t.textToSpeechMarkup=window.sre&&"sre"===t.textToSpeechRules?"ssml_step":"ssml";const e=ge.toSpeakableText(this.mathlist.root,t);return this._speakWithSynchronizedHighlighting(e),!1};var qi={MathField:_i};function zi(t,e,s){let i=s,a=0;const o=t.length;for(;i<e.length;){const s=e[i];if(a<=0&&e.slice(i,i+o)===t)return i;"\\"===s?i++:"{"===s?a++:"}"===s&&a--,i++}return-1}function Ii(t,e,s,i){const a=[];for(let o=0;o<t.length;o++)if("text"===t[o].type){const n=t[o].data;let r,l=!0,c=0;-1!==(r=n.indexOf(e))&&((c=r)>0&&a.push({type:"text",data:n.slice(0,c)}),l=!1);let h=!1;for(;!h;){if(l){if(-1===(r=n.indexOf(e,c))){h=!0;break}c!==r&&a.push({type:"text",data:n.slice(c,r)}),c=r}else{if(-1===(r=zi(s,n,c+e.length))){h=!0;break}a.push({type:"math",data:n.slice(c+e.length,r),rawData:n.slice(c,r+s.length),mathstyle:i}),c=r+s.length}l=!l}c<n.length&&a.push({type:"text",data:n.slice(c)})}else a.push(t[o]);return a}function Bi(t,e){let s=[{type:"text",data:t}];for(let t=0;t<e.inline.length;t++){const i=e.inline[t];s=Ii(s,i[0],i[1],"textstyle")}for(let t=0;t<e.display.length;t++){const i=e.display[t];s=Ii(s,i[0],i[1],"displaystyle")}return s}function Pi(t,e,s,i){const a=function(t,e,s,i){let a=document.createElement("span");a.setAttribute("aria-hidden","true"),e.preserveOriginalContent&&(a.setAttribute("data-"+e.namespace+"original-content",t),s&&a.setAttribute("data-"+e.namespace+"original-mathstyle",s));try{a.innerHTML=e.renderToMarkup(t,s||"displaystyle","html",e.macros)}catch(e){if(!i)return null;a=document.createTextNode(t)}return a}(t,s,e,i);if(a&&/\b(mathml|speakable-text)\b/i.test(s.renderAccessibleContent)){const e=document.createDocumentFragment();if(/\bmathml\b/i.test(s.renderAccessibleContent)&&s.renderToMathML&&e.appendChild(function(t,e){const s=document.createElement("span");try{s.innerHTML="<math xmlns='http://www.w3.org/1998/Math/MathML'>"+e.renderToMathML(t,e)+"</math>"}catch(e){s.textContent=t}return s.className="sr-only",s}(t,s)),/\bspeakable-text\b/i.test(s.renderAccessibleContent)&&s.renderToSpeakableText){const i=document.createElement("span");i.innerHTML=s.renderToSpeakableText(t,s),i.className="sr-only",e.appendChild(i)}return e.appendChild(a),e}return a}function Ri(t,e){let s=null;if(e.TeX.processEnvironments&&/^\s*\\begin/.test(t))(s=document.createDocumentFragment()).appendChild(Pi(t,void 0,e,!0));else{const i=Bi(t,e.TeX.delimiters);if(1===i.length&&"text"===i[0].type)return null;s=document.createDocumentFragment();for(let t=0;t<i.length;t++)"text"===i[t].type?s.appendChild(document.createTextNode(i[t].data)):s.appendChild(Pi(i[t].data,i[t].mathstyle,e,!0))}return s}const Oi={namespace:"",skipTags:["noscript","style","textarea","pre","code","annotation","annotation-xml"],processScriptType:"math/tex",ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",preserveOriginalContent:!0,renderAccessibleContent:"mathml",TeX:{disabled:!1,processEnvironments:!0,delimiters:{inline:[["\\(","\\)"]],display:[["$$","$$"],["\\[","\\]"]]}}};var Ki={renderMathInElement:function(t,e){try{if((e=Object.assign({},Oi,e)).ignoreClassPattern=new RegExp(e.ignoreClass),e.processClassPattern=new RegExp(e.processClass),e.processScriptTypePattern=new RegExp(e.processScriptType),e.macros=Nt.MACROS,e.namespace){if(!/^[a-z]+[-]?$/.test(e.namespace))throw Error("options.namespace must be a string of lowercase characters only");/-$/.test(e.namespace)||(e.namespace+="-")}!function t(e,s){const i=e.getAttribute("data-"+s.namespace+"original-content");if(i){const t=Pi(i,e.getAttribute("data-"+s.namespace+"mathstyle"),s,!1);null!=t&&(e.textContent="",e.appendChild(t))}else{if(1===e.childNodes.length&&3===e.childNodes[0].nodeType){const t=e.childNodes[0].textContent;if(s.TeX.processEnvironments&&/^\s*\\begin/.test(t))return e.textContent="",void e.appendChild(Pi(t,void 0,s,!0));const i=Bi(t,s.TeX.delimiters);if(1===i.length&&"math"===i[0].type)return e.textContent="",void e.appendChild(Pi(i[0].data,i[0].mathstyle,s,!0));if(1===i.length&&"text"===i[0].type)return}for(let i=0;i<e.childNodes.length;i++){const a=e.childNodes[i];if(3===a.nodeType){const t=Ri(a.textContent,s);t&&(i+=t.childNodes.length-1,e.replaceChild(t,a))}else if(1===a.nodeType){const e=a.nodeName.toLowerCase();if("script"===e&&s.processScriptTypePattern.test(a.type)){let t="displaystyle";for(const e of a.type.split(";")){const s=e.split("=");"mode"===s[0].toLowerCase()&&(t="display"===s[1].toLoweCase()?"displaystyle":"textstyle")}const e=Pi(a.textContent,t,s,!0);a.parentNode.replaceChild(e,a)}else(s.processClassPattern.test(a.className)||!s.skipTags.includes(e)&&!s.ignoreClassPattern.test(a.className))&&t(a,s)}}}}(t,e)}catch(t){Error}}};function Ni(t,e,s,i){e=e||"displaystyle";const a=x.tokenize(t),o=Ce.parseTokens(a,"math",null,i);if("mathlist"===s)return o;let n=ge.decompose({mathstyle:e},o);if(n=ot.coalesce(n),"span"===s)return n;const r=ot.makeSpan(n,"ML__base"),l=ot.makeSpan("","ML__strut");l.setStyle("height",r.height,"em");const c=[l];if(0!==r.depth){const t=ot.makeSpan("","ML__strut--bottom");t.setStyle("height",r.height+r.depth,"em"),t.setStyle("vertical-align",-r.depth,"em"),c.push(t)}return c.push(r),ot.makeSpan(c,"ML__mathlive").toMarkup()}function $i(t,e){if(!ge.toMathML)return"";(e=e||{}).macros=e.macros||{},Object.assign(e.macros,Nt.MACROS);const s=Ce.parseTokens(x.tokenize(t),"math",null,e.macros);return ge.toMathML(s,e)}function Wi(t,e){if(!ge.toSpeakableText)return"";(e=e||{}).macros=e.macros||{},Object.assign(e.macros,Nt.MACROS);const s=Ce.parseTokens(x.tokenize(t),"math",null,e.macros);return ge.toSpeakableText(s,e)}function Vi(t,e){if(!e&&window&&window.mathlive&&(e=window.mathlive.config),(e=e||{}).speechEngine&&"local"!==e.speechEngine)if("amazon"===e.speechEngine)if(window&&window.AWS){const s=new window.AWS.Polly({apiVersion:"2016-06-10"}),i={OutputFormat:"mp3",VoiceId:e.speechEngineVoice||"Joanna",Text:t,TextType:"ssml"};s.synthesizeSpeech(i,function(t,e){if(t);else if(e&&e.AudioStream){const t=new 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diff --git a/dist/mathlive.mjs b/dist/mathlive.mjs
index 1a2b9d41b..b9945df36 100644
--- a/dist/mathlive.mjs
+++ b/dist/mathlive.mjs
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-const t=0,e=1,s=2,i=3,a=4,o=5,n=6,r=7,l=8,c=9,h=10,p=11,d=12;function m(t,e){e=e||0;const s=t.charCodeAt(e);if(55296<=s&&s<=56319&&e<t.length-1){const i=s,a=t.charCodeAt(e+1);return 56320<=a&&a<=57343?1024*(i-55296)+(a-56320)+65536:i}if(56320<=s&&s<=57343&&e>=1){const i=t.charCodeAt(e-1),a=s;return 55296<=i&&i<=56319?1024*(i-55296)+(a-56320)+65536:a}return s}function u(u,y){if((y=y||0)<0)return 0;if(y>=u.length-1)return u.length;let g=f(m(u,y));for(let k=y+1;k<u.length;k++){if(55296<=u.charCodeAt(k-1)&&u.charCodeAt(k-1)<=56319&&56320<=u.charCodeAt(k)&&u.charCodeAt(k)<=57343)continue;const y=f(m(u,k));if(x=y,!((b=g)===p&&x===d||b===i&&x===p||b===p&&x===i||b===t&&x===e||b!==s&&b!==t&&b!==e&&x!==s&&x!==t&&x!==e&&(b===n&&(x===n||x===r||x===c||x===h)||!(b!==c&&b!==r||x!==r&&x!==l)||(b===h||b===l)&&x===l||b===a&&x===a||x===i||x===o)))return k;g=y}var b,x;return u.length}function f(m){return 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476===m||121499<=m&&m<=121503||121505<=m&&m<=121519||125136<=m&&m<=125142||917760<=m&&m<=917999?i:127462<=m&&m<=127487?a:127995<=m&&m<=127999?d:2307===m||2363===m||2366<=m&&m<=2368||2377<=m&&m<=2380||2382<=m&&m<=2383||2434<=m&&m<=2435||2495<=m&&m<=2496||2503<=m&&m<=2504||2507<=m&&m<=2508||2563===m||2622<=m&&m<=2624||2691===m||2750<=m&&m<=2752||2761===m||2763<=m&&m<=2764||2818<=m&&m<=2819||2880===m||2887<=m&&m<=2888||2891<=m&&m<=2892||3007===m||3009<=m&&m<=3010||3014<=m&&m<=3016||3018<=m&&m<=3020||3073<=m&&m<=3075||3137<=m&&m<=3140||3202<=m&&m<=3203||3262===m||3264<=m&&m<=3265||3267<=m&&m<=3268||3271<=m&&m<=3272||3274<=m&&m<=3275||3330<=m&&m<=3331||3391<=m&&m<=3392||3398<=m&&m<=3400||3402<=m&&m<=3404||3458<=m&&m<=3459||3536<=m&&m<=3537||3544<=m&&m<=3550||3570<=m&&m<=3571||3635===m||3763===m||3902<=m&&m<=3903||3967===m||4145===m||4155<=m&&m<=4156||4182<=m&&m<=4183||4228===m||6070===m||6078<=m&&m<=6085||6087<=m&&m<=6088||6435<=m&&m<=6438||6441<=m&&m<=6443||6448<=m&&m<=6449||6451<=m&&m<=6456||6681<=m&&m<=6682||6741===m||6743===m||6765<=m&&m<=6770||6916===m||6965===m||6971===m||6973<=m&&m<=6977||6979<=m&&m<=6980||7042===m||7073===m||7078<=m&&m<=7079||7082===m||7143===m||7146<=m&&m<=7148||7150===m||7154<=m&&m<=7155||7204<=m&&m<=7211||7220<=m&&m<=7221||7393===m||7410<=m&&m<=7411||43043<=m&&m<=43044||43047===m||43136<=m&&m<=43137||43188<=m&&m<=43203||43346<=m&&m<=43347||43395===m||43444<=m&&m<=43445||43450<=m&&m<=43451||43453<=m&&m<=43456||43567<=m&&m<=43568||43571<=m&&m<=43572||43597===m||43755===m||43758<=m&&m<=43759||43765===m||44003<=m&&m<=44004||44006<=m&&m<=44007||44009<=m&&m<=44010||44012===m||69632===m||69634===m||69762===m||69808<=m&&m<=69810||69815<=m&&m<=69816||69932===m||70018===m||70067<=m&&m<=70069||70079<=m&&m<=70080||70188<=m&&m<=70190||70194<=m&&m<=70195||70197===m||70368<=m&&m<=70370||70402<=m&&m<=70403||70463===m||70465<=m&&m<=70468||70471<=m&&m<=70472||70475<=m&&m<=70477||70498<=m&&m<=70499||70833<=m&&m<=70834||70841===m||70843<=m&&m<=70844||70846===m||70849===m||71088<=m&&m<=71089||71096<=m&&m<=71099||71102===m||71216<=m&&m<=71218||71227<=m&&m<=71228||71230===m||71340===m||71342<=m&&m<=71343||71350===m||71456<=m&&m<=71457||71462===m||94033<=m&&m<=94078||119142===m||119149===m?o:4352<=m&&m<=4447||43360<=m&&m<=43388?n:4448<=m&&m<=4519||55216<=m&&m<=55238?r:4520<=m&&m<=4607||55243<=m&&m<=55291?l:44032===m||44060===m||44088===m||44116===m||44144===m||44172===m||44200===m||44228===m||44256===m||44284===m||44312===m||44340===m||44368===m||44396===m||44424===m||44452===m||44480===m||44508===m||44536===m||44564===m||44592===m||44620===m||44648===m||44676===m||44704===m||44732===m||44760===m||44788===m||44816===m||44844===m||44872===m||44900===m||44928===m||44956===m||44984===m||45012===m||45040===m||45068===m||45096===m||45124===m||45152===m||45180===m||45208===m||45236===m||45264===m||45292===m||45320===m||45348===m||45376===m||45404===m||45432===m||45460===m||45488===m||45516===m||45544===m||45572===m||45600===m||45628===m||45656===m||45684===m||45712===m||45740===m||45768===m||45796===m||45824===m||45852===m||45880===m||45908===m||45936===m||45964===m||45992===m||46020===m||46048===m||46076===m||46104===m||46132===m||46160===m||46188===m||46216===m||46244===m||46272===m||46300===m||46328===m||46356===m||46384===m||46412===m||46440===m||46468===m||46496===m||46524===m||46552===m||46580===m||46608===m||46636===m||46664===m||46692===m||46720===m||46748===m||46776===m||46804===m||46832===m||46860===m||46888===m||46916===m||46944===m||46972===m||47e3===m||47028===m||47056===m||47084===m||47112===m||47140===m||47168===m||47196===m||47224===m||47252===m||47280===m||47308===m||47336===m||47364===m||47392===m||47420===m||47448===m||47476===m||47504===m||47532===m||47560===m||47588===m||47616===m||47644===m||47672===m||47700===m||47728===m||47756===m||47784===m||47812===m||47840===m||47868===m||47896===m||47924===m||47952===m||47980===m||48008===m||48036===m||48064===m||48092===m||48120===m||48148===m||48176===m||48204===m||48232===m||48260===m||48288===m||48316===m||48344===m||48372===m||48400===m||48428===m||48456===m||48484===m||48512===m||48540===m||48568===m||48596===m||48624===m||48652===m||48680===m||48708===m||48736===m||48764===m||48792===m||48820===m||48848===m||48876===m||48904===m||48932===m||48960===m||48988===m||49016===m||49044===m||49072===m||49100===m||49128===m||49156===m||49184===m||49212===m||49240===m||49268===m||49296===m||49324===m||49352===m||49380===m||49408===m||49436===m||49464===m||49492===m||49520===m||49548===m||49576===m||49604===m||49632===m||49660===m||49688===m||49716===m||49744===m||49772===m||49800===m||49828===m||49856===m||49884===m||49912===m||49940===m||49968===m||49996===m||50024===m||50052===m||50080===m||50108===m||50136===m||50164===m||50192===m||50220===m||50248===m||50276===m||50304===m||50332===m||50360===m||50388===m||50416===m||50444===m||50472===m||50500===m||50528===m||50556===m||50584===m||50612===m||50640===m||50668===m||50696===m||50724===m||50752===m||507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y=e.size===$.DISPLAY.size?e.metrics.delim1:e.metrics.delim2,g=ae.makeCustomSizedDelim("mopen",this.leftDelim,y,!0,t.clone({mathstyle:e})),b=ae.makeCustomSizedDelim("mclose",this.rightDelim,y,!0,t.clone({mathstyle:e}));g.applyStyle(this.getStyle()),b.applyStyle(this.getStyle());const x=ne([g,f,b],t.parentSize!==t.size?"sizing reset-"+t.parentSize+" "+t.size:"genfrac");return this.bind(t,x)}decomposeLeftright(t){if(!this.body)return this.leftDelim?new de("math","mopen",this.leftDelim).decompose(t):this.rightDelim?new de("math","mclose",this.rightDelim).decompose(t):null;const e=t.clone(),s=ye(e,this.body),i=e.mathstyle;let a=0,o=0,n=[];if(a=ot.height(s)*i.sizeMultiplier,o=ot.depth(s)*i.sizeMultiplier,this.leftDelim&&(n.push(ae.makeLeftRightDelim("mopen",this.leftDelim,a,o,e)),n[n.length-1].applyStyle(this.getStyle())),s){for(let t=0;t<s.length;t++)if(s[t].delim){const i=s[t].caret,n=/ML__selected/.test(s[t].classes);s[t]=ae.makeLeftRightDelim("minner",s[t].delim,a,o,e),s[t].caret=i,s[t].selected(n)}n=n.concat(s)}if(this.rightDelim){let t=this.rightDelim;"?"===t&&(t=(t={"(":")","\\{":"\\}","\\[":"\\]","\\lbrace":"\\rbrace","\\langle":"\\rangle","\\lfloor":"\\rfloor","\\lceil":"\\rceil","\\vert":"\\vert","\\lvert":"\\rvert","\\Vert":"\\Vert","\\lVert":"\\rVert","\\lbrack":"\\rbrack","\\ulcorner":"\\urcorner","\\llcorner":"\\lrcorner","\\lgroup":"\\rgroup","\\lmoustache":"\\rmoustache"}[this.leftDelim])||this.leftDelim,e.opacity=.5),n.push(ae.makeLeftRightDelim("mclose",t,a,o,e)),n[n.length-1].applyStyle(this.getStyle())}return this.inner?re(n,i.cls()):n}decomposeSurd(t){const e=t.mathstyle,s=ye(t.cramp(),this.body),i=S.defaultRuleThickness/e.sizeMultiplier;let a=i;e.id<$.TEXT.id&&(a=e.metrics.xHeight);let o=i+a/4;const n=(ot.height(s)+ot.depth(s))*e.sizeMultiplier+(o+i),r=oe(ae.makeCustomSizedDelim("","\\surd",n,!1,t),"sqrt-sign");r.applyStyle(this.getStyle());const l=r.height+r.depth-i;l>ot.height(s)+ot.depth(s)+o&&(o=(o+l-ot.height(s)-ot.depth(s))/2),r.setTop(r.height-ot.height(s)-(o+i));const c=oe("",t.mathstyle.adjustTo($.TEXT)+" sqrt-line");let h;if(c.applyStyle(this.getStyle()),c.height=i,h=0===ot.height(s)&&0===ot.depth(s)?oe():ce(t,[s,o,c,i]),!this.index)return this.bind(t,ne([r,h],"sqrt"));const p=t.clone({mathstyle:$.SCRIPTSCRIPT}),d=oe(ye(p,this.index),e.adjustTo($.SCRIPTSCRIPT)),m=Math.max(r.height,h.height),u=Math.max(r.depth,h.depth),f=ce(t,[d],"shift",-(.6*(m-u)));return this.bind(t,ne([oe(f,"root"),r,h],"sqrt"))}decomposeAccent(t){const e=t.mathstyle;let s=ye(t.cramp(),this.body);(this.superscript||this.subscript)&&(s=this.attachSupsub(t,ne(s),"mord"));let i=0;Array.isArray(this.body)&&1===this.body.length&&this.body[0].isCharacterBox()&&(i=ot.skew(s));const a=Math.min(ot.height(s),e.metrics.xHeight),o=ot.makeSymbol("Main-Regular",this.accent,"math");o.italic=0;const n="⃗"===this.accent?" accent-vec":"";let r=oe(oe(o),"accent-body"+n);return(r=ce(t,[s,-a,r])).children[1].setLeft(2*i),ne(r,"accent")}decomposeLine(t){const e=t.mathstyle,s=ye(t.cramp(),this.body),i=S.defaultRuleThickness/e.sizeMultiplier,a=oe("",t.mathstyle.adjustTo($.TEXT)+" "+this.position+"-line");let o;if(a.height=i,a.maxFontSize=1,"overline"===this.position)o=ce(t,[s,3*i,a,i]);else{const e=oe(s);o=ce(t,[i,a,3*i,e],"top",ot.height(e))}return ne(o,this.position)}decomposeOverunder(t){const e=ye(t,this.body),s=t.clone({mathstyle:"scriptstyle"}),i=this.overscript?oe(ye(s,this.overscript),t.mathstyle.adjustTo(s.mathstyle)):null,a=this.underscript?oe(ye(s,this.underscript),t.mathstyle.adjustTo(s.mathstyle)):null;return fe(t,e,0,0,i,a,this.mathtype||"mrel")}decomposeOverlap(t){const e=oe(ye(t,this.body),"inner");return ne([e,oe("","fix")],"left"===this.align?"llap":"rlap")}decomposeRule(t){const e=t.mathstyle,s=ne("","rule");let i=this.shift&&!isNaN(this.shift)?this.shift:0;i/=e.sizeMultiplier;const a=this.width/e.sizeMultiplier,o=this.height/e.sizeMultiplier;return s.setStyle("border-right-width",a,"em"),s.setStyle("border-top-width",o,"em"),s.setStyle("margin-top",-(o-i),"em"),s.setStyle("border-color",t.color),s.width=a,s.height=o+i,s.depth=-i,s}decomposeOp(t){const e=t.mathstyle;let s,i=!1;e.size===$.DISPLAY.size&&"string"==typeof this.body&&"\\smallint"!==this.body&&(i=!0);let a=0,o=0;if(this.symbol){const n=i?"Size2-Regular":"Size1-Regular";(s=ot.makeSymbol(n,this.body,"op-symbol "+(i?"large-op":"small-op"))).type="mop",a=(s.height-s.depth)/2-e.metrics.axisHeight*e.sizeMultiplier,o=s.italic,this.bind(t,s)}else Array.isArray(this.body)?(s=ot.makeOp(ye(t,this.body)),this.bind(t,s)):s=this.makeSpan(t,this.body);if(this.superscript||this.subscript){const i=this.limits||"auto";return this.alwaysHandleSupSub||"limits"===i||"auto"===i&&e.size===$.DISPLAY.size?this.attachLimits(t,s,a,o):this.attachSupsub(t,s,"mop")}return this.symbol&&s.setTop(a),s}applySizing(t){const e={size1:.5,size2:.7,size3:.8,size4:.9,size5:1,size6:1.2,size7:1.44,size8:1.73,size9:2.07,size10:2.49}[this.size]*t.mathstyle.sizeMultiplier;t.size=this.size,t.sizeMultiplier=e}decomposeBox(t){const e=ne(ye(t,this.body));e.setStyle("position","relative");const s=ne(e),i=this.padding?this.padding:S.fboxsep;return s.setStyle("padding",i,"em"),this.backgroundcolor&&s.setStyle("background-color",this.backgroundcolor),this.framecolor&&s.setStyle("border",S.fboxrule+"em solid "+this.framecolor),this.border&&s.setStyle("border",this.border),s.height=e.height,s.depth=e.depth,s.setStyle("position","relative"),s.setStyle("height",s.height+s.depth,"em"),this.bind(t,s)}decomposeEnclose(t){const e=ne(ye(t,this.body)),s="auto"===this.padding?.2:this.padding;e.setStyle("padding",s,"em"),e.setStyle("display","inline-block"),e.setStyle("height",e.height+e.depth,"em"),e.setStyle("left",-s,"em"),this.backgroundcolor&&"transparent"!==this.backgroundcolor&&e.setStyle("background-color",this.backgroundcolor);let i="";if(this.notation.box&&e.setStyle("border",this.borderStyle),this.notation.actuarial&&(e.setStyle("border-top",this.borderStyle),e.setStyle("border-right",this.borderStyle)),this.notation.madruwb&&(e.setStyle("border-bottom",this.borderStyle),e.setStyle("border-right",this.borderStyle)),this.notation.roundedbox&&(e.setStyle("border-radius",(ot.height(e)+ot.depth(e))/2,"em"),e.setStyle("border",this.borderStyle)),this.notation.circle&&(e.setStyle("border-radius","50%"),e.setStyle("border",this.borderStyle)),this.notation.top&&e.setStyle("border-top",this.borderStyle),this.notation.left&&e.setStyle("border-left",this.borderStyle),this.notation.right&&e.setStyle("border-right",this.borderStyle),this.notation.bottom&&e.setStyle("border-bottom",this.borderStyle),this.notation.horizontalstrike&&(i+='<line x1="3%"  y1="50%" x2="97%" y2="50%"',i+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,i+=' stroke-linecap="round"',this.svgStrokeStyle&&(i+=` stroke-dasharray="${this.svgStrokeStyle}"`),i+="/>"),this.notation.verticalstrike&&(i+='<line x1="50%"  y1="3%" x2="50%" y2="97%"',i+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,i+=' stroke-linecap="round"',this.svgStrokeStyle&&(i+=` stroke-dasharray="${this.svgStrokeStyle}"`),i+="/>"),this.notation.updiagonalstrike&&(i+='<line x1="3%"  y1="97%" x2="97%" y2="3%"',i+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,i+=' stroke-linecap="round"',this.svgStrokeStyle&&(i+=` stroke-dasharray="${this.svgStrokeStyle}"`),i+="/>"),this.notation.downdiagonalstrike&&(i+='<line x1="3%"  y1="3%" x2="97%" y2="97%"',i+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,i+=' stroke-linecap="round"',this.svgStrokeStyle&&(i+=` stroke-dasharray="${this.svgStrokeStyle}"`),i+="/>"),i){let t;return"none"!==this.shadow&&(t="auto"===this.shadow?"filter: drop-shadow(0 0 .5px rgba(255, 255, 255, .7)) drop-shadow(1px 1px 2px #333)":"filter: drop-shadow("+this.shadow+")"),ot.makeSVG(e,i,t)}return e}decompose(t,e){let s=null;if(!this.type||/mord|minner|mbin|mrel|mpunct|mopen|mclose|textord/.test(this.type))(s="string"==typeof this.body?this.makeSpan(t,this.body):this.makeSpan(t,ye(t,this.body))).type=this.type;else if("group"===this.type||"root"===this.type)s=this.decomposeGroup(t);else if("array"===this.type)s=this.decomposeArray(t);else if("genfrac"===this.type)s=this.decomposeGenfrac(t);else if("surd"===this.type)s=this.decomposeSurd(t);else if("accent"===this.type)s=this.decomposeAccent(t);else if("leftright"===this.type)s=this.decomposeLeftright(t);else if("delim"===this.type)(s=oe("","")).delim=this.delim;else if("sizeddelim"===this.type)s=this.bind(t,ae.makeSizedDelim(this.cls,this.delim,this.size,t));else if("line"===this.type)s=this.decomposeLine(t);else if("overunder"===this.type)s=this.decomposeOverunder(t);else if("overlap"===this.type)s=this.decomposeOverlap(t);else if("rule"===this.type)s=this.decomposeRule(t);else if("styling"===this.type);else if("msubsup"===this.type)s=ne("​"),e&&(s.height=e[0].height,s.depth=e[0].depth);else if("mop"===this.type)s=this.decomposeOp(t);else if("space"===this.type)s=this.makeSpan(t," ");else if("spacing"===this.type)if("​"===this.body)s=this.makeSpan(t,"​");else if(" "===this.body)s="math"===this.mode?this.makeSpan(t," "):this.makeSpan(t," ");else if(this.width)s=oe("​","mspace "),this.width>0?s.setWidth(this.width):s.setStyle("margin-left",this.width,"em");else{const t={qquad:"qquad",quad:"quad",enspace:"enspace",";":"thickspace",":":"mediumspace",",":"thinspace","!":"negativethinspace"}[this.body]||"quad";s=oe("​","mspace 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i=t.mathstyle;let a=null,o=null;if(this.superscript){const e=ye(t.sup(),this.superscript);a=oe(e,i.adjustTo(i.sup()))}if(this.subscript){const e=ye(t.sub(),this.subscript);o=oe(e,i.adjustTo(i.sub()))}let n,r=0,l=0;this.isCharacterBox()||(r=ot.height(e)-i.metrics.supDrop,l=ot.depth(e)+i.metrics.subDrop),n=i===$.DISPLAY?i.metrics.sup1:i.cramped?i.metrics.sup3:i.metrics.sup2;const c=$.TEXT.sizeMultiplier*i.sizeMultiplier,h=.5/S.ptPerEm/c;let p=null;if(o&&a){r=Math.max(r,n,a.depth+.25*i.metrics.xHeight),l=Math.max(l,i.metrics.sub2);const s=S.defaultRuleThickness;if(r-ot.depth(a)-(ot.height(o)-l)<4*s){l=4*s-(r-a.depth)+ot.height(o);const t=.8*i.metrics.xHeight-(r-ot.depth(a));t>0&&(r+=t,l-=t)}p=ce(t,[o,l,a,-r],"individualShift"),this.symbol&&p.children[0].setLeft(-ot.italic(e))}else o&&!a?(l=Math.max(l,i.metrics.sub1,ot.height(o)-.8*i.metrics.xHeight),(p=ce(t,[o],"shift",l)).children[0].setRight(h),this.isCharacterBox()&&p.children[0].setLeft(-ot.italic(e))):!o&&a&&(r=Math.max(r,n,a.depth+.25*i.metrics.xHeight),(p=ce(t,[a],"shift",-r)).children[0].setRight(h));const d=oe(p,"msubsup");return this.caret&&(d.caret=this.caret),ot.makeSpanOfType(s,[e,d])}attachLimits(t,e,s,i){const a=this.superscript?oe(ye(t.sup(),this.superscript),t.mathstyle.adjustTo(t.mathstyle.sup())):null,o=this.subscript?oe(ye(t.sub(),this.subscript),t.mathstyle.adjustTo(t.mathstyle.sub())):null;return fe(t,e,s,i,a,o,"mop")}bind(t,e){return"first"!==this.type&&"​"!==this.body&&(this.id=function(t){let e;"boolean"==typeof t.generateID&&t.generateID?e=Date.now().toString(36).slice(-2)+Math.floor(1e5*Math.random()).toString(36):"boolean"!=typeof t.generateID&&(t.generateID.overrideID?e=t.generateID.overrideID:(e=t.generateID.seed.toString(36),t.generateID.seed+=1));return e}(t),this.id&&(e.attributes||(e.attributes={}),e.attributes["data-atom-id"]=this.id)),e}makeSpan(t,e){const s="textord"===this.type?"mord":this.type,i=ot.makeSpanOfType(s,e);return i.applyStyle(this.getStyle()),t.parentSize!==t.size&&(i.classes+=" sizing reset-"+t.parentSize,i.classes+=" "+t.size),"text"===this.mode&&(i.classes+=" ML__text"),t.mathstyle.isTight()&&(i.isTight=!0),"math"!==this.mode&&(i.italic=0),i.setRight(i.italic),"number"==typeof t.opacity&&i.setStyle("opacity",t.opacity),this.bind(t,i),this.caret&&(this.superscript||this.subscript||(i.caret=this.caret,t.mathstyle.isTight()&&(i.isTight=!0))),i}}function me(t){const e=oe("​","arraycolsep");return e.setWidth(t,"em"),e}function ue(t,e,s,i){const a=[];for(const o of e){const e=oe(ye(t,i));e.depth=o.depth,e.height=o.height,a.push(e),a.push(o.pos-s)}return ce(t,a,"individualShift")}function fe(t,e,s,i,a,o,n){if(!a&&!o)return e;e=oe(e);let r=0,l=0;a&&(r=Math.max(S.bigOpSpacing1,S.bigOpSpacing3-a.depth)),o&&(l=Math.max(S.bigOpSpacing2,S.bigOpSpacing4-o.height));let c=null;if(o&&a){const n=S.bigOpSpacing5+ot.height(o)+ot.depth(o)+l+ot.depth(e)+s;(c=ce(t,[S.bigOpSpacing5,o,l,e,r,a,S.bigOpSpacing5],"bottom",n)).children[0].setLeft(-i),c.children[2].setLeft(i)}else if(o&&!a){const a=ot.height(e)-s;(c=ce(t,[S.bigOpSpacing5,o,l,e],"top",a)).children[0].setLeft(-i)}else if(!o&&a){const o=ot.depth(e)+s;(c=ce(t,[e,r,a,S.bigOpSpacing5],"bottom",o)).children[1].setLeft(i)}return ot.makeSpanOfType(n,c,"op-limits")}function ye(t,e){t instanceof V.Context||(t=new V.Context(t));const s=!t.generateID||!t.generateID.groupNumbers;let i=[];if(Array.isArray(e)){if(0===e.length)return i;if(1===e.length)(i=e[0].decompose(t))&&s&&e[0].isSelected&&i.forEach(t=>t.selected(!0));else{let a="none",o=e[1].type,n=[],r=null,l=null;for(let c=0;c<e.length;c++){"mbin"===e[c].type&&(/first|none|mrel|mpunct|mopen|mbin|mop/.test(a)||/none|mrel|mpunct|mclose/.test(o))&&(e[c].type="mord"),"​"===e[c].body&&(e[c].superscript||e[c].subscript)||(l=null),t.generateID.groupNumbers&&r&&"mord"===e[c].type&&/[0-9,.]/.test(e[c].latex)&&(t.generateID.overrideID=r);const h=e[c].decompose(t,l);if(t.generateID&&(t.generateID.overrideID=null),h){const a=[].concat.apply([],h);l=a,t.generateID&&t.generateID.groupNumbers&&("mord"===e[c].type&&/[0-9,.]/.test(e[c].latex)&&(r||(r=e[c].id)),("mord"!==e[c].type||/[0-9,.]/.test(e[c].latex)||e[c].superscript||e[c].subscript)&&r&&(r=null)),s&&e[c].isSelected?(n=n.concat(a)).forEach(t=>t.selected(!0)):(n.length>0&&(i=[...i,...n],n=[]),i=i.concat(a))}a=e[c].getFinalBaseElement().type,o=e[c+1]?e[c+1].getInitialBaseElement().type:"none"}n.length>0&&(i=[...i,...n],n=[])}}else e&&(i=e.decompose(t))&&s&&e.isSelected&&i.forEach(t=>t.selected(!0));if(!i||0===i.length)return null;const a={size1:.5,size2:.7,size3:.8,size4:.9,size5:1,size6:1.2,size7:1.44,size8:1.73,size9:2.07,size10:2.49};if(t.mathstyle!==t.parentMathstyle){const e=t.mathstyle.sizeMultiplier/t.parentMathstyle.sizeMultiplier;for(const t of i)t.height*=e,t.depth*=e}if(t.size!==t.parentSize){const e=a[t.size]/a[t.parentSize];for(const t of i)t.height*=e,t.depth*=e}return i}var ge={MathAtom:de,decompose:ye,makeRoot:function(t,e){const s=new de(t=t||"math","root");return s.body=e||[],0!==s.body.length&&"first"===s.body[0].type||s.body.unshift(new de("","first")),s},GREEK_REGEX:he};const be={m0:"#3f3d99",m1:"#993d71",m2:"#998b3d",m3:"#3d9956",m4:"#3d5a99",m5:"#993d90",m6:"#996d3d",m7:"#43993d",m8:"#3d7999",m9:"#843d99"},xe={apricot:"#FBB982",aquamarine:"#00B5BE",bittersweet:"#C04F17",black:"#221E1F",blue:"#2D2F92",bluegreen:"#00B3B8",blueviolet:"#473992",brickred:"#B6321C",brown:"#792500",burntorange:"#F7921D",cadetblue:"#74729A",carnationpink:"#F282B4",cerulean:"#00A2E3",cornflowerblue:"#41B0E4",cyan:"#00AEEF",dandelion:"#FDBC42",darkorchid:"#A4538A",emerald:"#00A99D",forestgreen:"#009B55",fuchsia:"#8C368C",goldenrod:"#FFDF42",gray:"#949698",green:"#00A64F",greenyellow:"#DFE674",junglegreen:"#00A99A",lavender:"#F49EC4",limegreen:"#8DC73E",magenta:"#EC008C",mahogany:"#A9341F",maroon:"#AF3235",melon:"#F89E7B",midnightblue:"#006795",mulberry:"#A93C93",navyblue:"#006EB8",olivegreen:"#3C8031",orange:"#F58137",orangered:"#ED135A",orchid:"#AF72B0",peach:"#F7965A",periwinkle:"#7977B8",pinegreen:"#008B72",plum:"#92268F",processblue:"#00B0F0",purple:"#99479B",rawsienna:"#974006",red:"#ED1B23",redorange:"#F26035",redviolet:"#A1246B",rhodamine:"#EF559F",royalblue:"#0071BC",royalpurple:"#613F99",rubinered:"#ED017D",salmon:"#F69289",seagreen:"#3FBC9D",sepia:"#671800",skyblue:"#46C5DD",springgreen:"#C6DC67",tan:"#DA9D76",tealblue:"#00AEB3",thistle:"#D883B7",turquoise:"#00B4CE",violet:"#58429B",violetred:"#EF58A0",white:"#FFFFFF",wildstrawberry:"#EE2967",yellow:"#FFF200",yellowgreen:"#98CC70",yelloworange:"#FAA21A"};var ke={stringToColor:function(t){const e=t.toLowerCase().split("!");let s,i,a,o=255,n=255,r=255,l=-1;const c=e.length>0&&"-"===e[0].charAt(0);c&&(e[0]=e[0].slice(1));for(let t=0;t<e.length;t++){s=o,i=n,a=r;let c=e[t].match(/([a-z0-9]*)/);c&&(c=c[1]);let h=xe[c]||be[c];h||(h=e[t]);let p=h.match(/^#([0-9a-f]{2})([0-9a-f]{2})([0-9a-f]{2})$/i);if(p&&p[1]&&p[2]&&p[3])o=Math.max(0,Math.min(255,parseInt(p[1],16))),n=Math.max(0,Math.min(255,parseInt(p[2],16))),r=Math.max(0,Math.min(255,parseInt(p[3],16)));else if((p=h.match(/^#([0-9a-f]{3})$/i))&&p[1]){const t=parseInt(p[1][0],16),e=parseInt(p[1][1],16),s=parseInt(p[1][2],16);o=Math.max(0,Math.min(255,16*t+t)),n=Math.max(0,Math.min(255,16*e+e)),r=Math.max(0,Math.min(255,16*s+s))}else{if(!((p=h.match(/^rgb\s*\(\s*(\d+)\s*,\s*(\d+)\s*,\s*(\d+)\s*\)$/i))&&p[1]&&p[2]&&p[3]))return null;o=Math.max(0,Math.min(255,parseInt(p[1]))),n=Math.max(0,Math.min(255,parseInt(p[2]))),r=Math.max(0,Math.min(255,parseInt(p[3])))}l>=0&&(o=(1-l)*o+l*s,n=(1-l)*n+l*i,r=(1-l)*r+l*a,l=-1),t+1<e.length&&(l=Math.max(0,Math.min(100,parseInt(e[++t])))/100)}return l>=0&&(o=l*o+(1-l)*s,n=l*n+(1-l)*i,r=l*r+(1-l)*a),c&&(o=255-o,n=255-n,r=255-r),"#"+("00"+Math.round(o).toString(16)).slice(-2)+("00"+Math.round(n).toString(16)).slice(-2)+("00"+Math.round(r).toString(16)).slice(-2)},colorToString:function(t){let e=t.toUpperCase();for(const t in xe)if(xe[t]===e){e=t;break}for(const t in be)if(be[t]===e){e=t;break}return e},AREA_COLORS:["#d35d60","#7293cb","#e1974d","#84bb5d","#9066a7","#aD6a58","#f5a4ce","#fff590","#212121","#818787","#d4d5d2","#ffffff"],LINE_COLORS:["#cc2428","#3769b1","#da7e30","#409852","#6b4c9a","#922426","#e7298a","#ffe907","#000000","#525055","#adafaa","#ffffff"]};const ve=ge.MathAtom;class we{constructor(t,e,s){this.tokens=t,this.index=0,this.args=e,this.macros=s,this.mathList=[],this.style={},this.parseMode="math",this.tabularMode=!1,this.endCount=0}swapMathList(t){const e=this.mathList;return this.mathList=t||[],e}swapParseMode(t){const e=this.parseMode;return this.parseMode=t,e}end(){return this.endCount++,this.index>=this.tokens.length||this.endCount>1e3}get(){return this.endCount=0,this.index<this.tokens.length?this.tokens[this.index++]:null}peek(t){const e=this.index+(t||0);return e<this.tokens.length?this.tokens[e]:null}lastMathAtom(){const t=0===this.mathList.length?"none":this.mathList[this.mathList.length-1].type;if("mop"!==t&&"msubsup"!==t){const t=new ve(this.parseMode,"msubsup","​");t.attributes={"aria-hidden":!0},this.mathList.push(t)}return this.mathList[this.mathList.length-1]}hasToken(t){const e=this.index;return e<this.tokens.length&&this.tokens[e].type===t}hasLiteral(t){const e=this.index;return e<this.tokens.length&&("literal"===this.tokens[e].type&&(!t||this.tokens[e].value===t))}hasLiteralPattern(t){return this.hasToken("literal")&&t.test(this.tokens[this.index].value)}hasCommand(t){const e=this.index;return e<this.tokens.length&&("command"===this.tokens[e].type&&this.tokens[e].value===t)}hasInfixCommand(){const t=this.index;if(t<this.tokens.length&&"command"===this.tokens[t].type){const e=Nt.getInfo("\\"+this.tokens[t].value,this.parseMode,this.macros);return e&&e.infix}return!1}hasColumnSeparator(){const t=this.index;return!!(this.tabularMode&&t<this.tokens.length)&&("literal"===this.tokens[t].type&&"&"===this.tokens[t].value)}hasRowSeparator(){const t=this.index;return!!(this.tabularMode&&t<this.tokens.length)&&("command"===this.tokens[t].type&&("\\"===this.tokens[t].value||"cr"===this.tokens[t].value))}parseColumnSeparator(){return!!this.hasColumnSeparator()&&(this.index++,!0)}placeholder(){return this.args&&"string"==typeof this.args["?"]?Me(x.tokenize(this.args["?"]),this.parseMode,null,this.macros):[new ve(this.parseMode,"placeholder","?",this.style)]}hasImplicitCommand(t){if(this.index<this.tokens.length){const e=this.tokens[this.index];if("command"===e.type)return t.includes(e.value)}return!1}parseRowSeparator(){return!!this.hasRowSeparator()&&(this.index++,!0)}parseToken(t){return!!this.hasToken(t)&&(this.index++,!0)}skipWhitespace(){let t=!1;for(;this.hasToken("space");)this.index++,t=!0;return t}skipUntilToken(t){for(;!this.end()&&!this.parseToken(t);)this.get()}parseCommand(t){return!!this.hasCommand(t)&&(this.index++,!0)}parseLiteral(t){return!!this.hasLiteral(t)&&(this.index++,!0)}parseFiller(){let t=!1,e=!1;do{const s=this.skipWhitespace(),i=this.parseCommand("relax");t=t||s||i,e=!s&&!i}while(!e);return t}parseKeyword(t){const e=this.index;let s=this.end(),i="";for(;!s;){const e=this.get();"literal"===e.type&&(i+=e.value),s=this.end()||"literal"!==e.type||i.length>=t.length}const a=t.toUpperCase()===i.toUpperCase();return a||(this.index=e),a}scanString(){let t="",e=this.end();for(;!e;){if(this.hasLiteral("]"))e=!0;else if(this.hasToken("literal"))t+=this.get().value;else if(this.skipWhitespace())t+=" ";else if(this.hasToken("command")){const e=this.get();"space"===e.value?t+=" ":t+=e.value}else e=!0;e=e||this.end()}return t}scanColor(){return ke.stringToColor(this.scanString())}scanNumber(t){const e=this.parseLiteral("-");e||this.parseLiteral("+"),this.skipWhitespace(),t=!!t;let s=10,i=/[0-9]/;this.parseLiteral("'")?(s=8,i=/[0-7]/,t=!0):(this.parseLiteral('"')||this.parseLiteral("x"))&&(s=16,i=/[0-9A-F]/,t=!0);let a="";for(;this.hasLiteralPattern(i);)a+=this.get().value;if(!t&&(this.parseLiteral(".")||this.parseLiteral(",")))for(a+=".";this.hasLiteralPattern(i);)a+=this.get().value;const o=t?parseInt(a,s):parseFloat(a);return e?-o:o}scanDimen(){const t=this.scanNumber(!1);let e;return this.skipWhitespace(),e=this.parseKeyword("pt")?C.toEm(t,"pt"):this.parseKeyword("mm")?C.toEm(t,"mm"):this.parseKeyword("cm")?C.toEm(t,"cm"):this.parseKeyword("ex")?C.toEm(t,"ex"):this.parseKeyword("px")?C.toEm(t,"px"):this.parseKeyword("em")?C.toEm(t,"em"):this.parseKeyword("bp")?C.toEm(t,"bp"):this.parseKeyword("dd")?C.toEm(t,"dd"):this.parseKeyword("pc")?C.toEm(t,"pc"):this.parseKeyword("in")?C.toEm(t,"in"):this.parseKeyword("mu")?C.toEm(t,"mu"):C.toEm(t,"pt")}scanSkip(){const t=this.scanDimen();return this.skipWhitespace(),this.parseKeyword("plus")&&this.scanDimen(),this.skipWhitespace(),this.parseKeyword("minus")&&this.scanDimen(),t}scanColspec(){this.skipWhitespace();const t=[];for(;!this.end()&&!this.hasToken("}")&&!this.hasLiteral("]");)if(this.hasLiteral()){const e=this.get().value;if("lcr".includes(e))t.push({align:e});else if("|"===e)t.push({rule:!0});else if("@"===e){if(this.parseToken("{")){const e=this.swapParseMode("math");t.push({gap:this.scanImplicitGroup(t=>"}"===t.type)}),this.swapParseMode(e)}this.parseToken("}")}}return t}scanModeSet(){let t;if(this.parseCommand("(")&&(t=")"),!t&&this.parseCommand("[")&&(t="]"),!t)return null;const e=this.swapParseMode("math"),s=new ve("math","group");return s.mathstyle=")"===t?"textstyle":"displaystyle",s.body=this.scanImplicitGroup(e=>"command"===e.type&&e.value===t),this.parseCommand(t),this.swapParseMode(e),s.body&&0!==s.body.length?s:null}scanModeShift(){if(!this.hasToken("$")&&!this.hasToken("$$"))return null;const t=this.get().type,e=new ve("math","group");e.mathstyle="$"===t?"textstyle":"displaystyle",e.latexOpen="textstyle"===e.mathstyle?"$":"$$",e.latexClose=e.latexOpen;const s=this.swapParseMode("math");return e.body=this.scanImplicitGroup(e=>e.type===t),this.parseToken(t),this.swapParseMode(s),e.body&&0!==e.body.length?e:null}scanEnvironment(){if(!this.parseCommand("begin"))return null;const t=this.scanArg("string"),e=Nt.getEnvironmentInfo(t),s=[];if(e&&e.params)for(const t of e.params)if(t.optional){const e=this.scanOptionalArg(t.type);s.push(e)}else s.push(this.scanArg(t.type));const i=this.parseMode,a=this.tabularMode,o=this.swapMathList([]);this.tabularMode=e.tabular;const n=[],r=[];let l=[],c=!1;do{if(!(c=this.end())&&this.parseCommand("end")&&(c=this.scanArg("string")===t),!c)if(this.parseColumnSeparator())l.push(this.swapMathList([]));else if(this.parseRowSeparator()){l.push(this.swapMathList([]));let t=0;this.skipWhitespace(),this.parseLiteral("[")&&(t=this.scanDimen(),this.skipWhitespace(),this.parseLiteral("]")),r.push(t||0),n.push(l),l=[]}else this.mathList=this.mathList.concat(this.scanImplicitGroup())}while(!c);l.push(this.swapMathList([])),l.length>0&&n.push(l);const h=this.swapMathList(o);if(this.parseMode=i,this.tabularMode=a,!e.tabular&&0===h.length)return null;if(e.tabular&&0===n.length)return null;const p=new ve(this.parseMode,"array",h,e.parser?e.parser(t,s,n):{});return p.array=n,p.rowGaps=r,p.env={...e},p.env.name=t,p}scanImplicitGroup(t){const e=this.style;t||(t=(t=>"}"===t.type||"literal"===t.type&&"&"===t.value||"command"===t.type&&/^(end|cr|\\)$/.test(t.value)));let s=null,i=null;const a=this.swapMathList([]);for(;!this.end()&&!t(this.peek());)if(this.hasImplicitCommand(Se)){const t=new ve(this.parseMode,"sizing");t.size={tiny:"size1",scriptsize:"size2",footnotesize:"size3",small:"size4",normalsize:"size5",large:"size6",Large:"size7",LARGE:"size8",huge:"size9",Huge:"size10"}[this.get().value],this.mathList.push(t)}else if(this.hasImplicitCommand(Ae)){this.parseMode="math";const t=new ve("math","mathstyle");t.mathstyle=this.get().value,this.mathList.push(t)}else this.hasInfixCommand()&&!s?(s=this.get(),i=this.swapMathList([])):this.parseAtom();let o;if(s){const t=this.swapMathList(a),e=Nt.getInfo("\\"+s.value,"math",this.macros);o=e?[new ve(this.parseMode,e.type,e.value||s.value,e.parse?e.parse("\\"+s.value,[i,t]):null)]:[new ve(this.parseMode,"mop",s.value)]}else o=this.swapMathList(a);return this.style=e,o}scanGroup(){if(!this.parseToken("{"))return null;const t=new ve(this.parseMode,"group");return t.body=this.scanImplicitGroup(t=>"}"===t.type),this.parseToken("}"),t}scanSmartFence(){if(this.skipWhitespace(),!this.parseLiteral("("))return null;const t=new ve(this.parseMode,"leftright");t.leftDelim="(",t.inner=!1;const e=this.swapMathList([]);let s=1;for(;!this.end()&&0!==s;)this.hasLiteral("(")&&(s+=1),this.hasLiteral(")")&&(s-=1),0!==s&&this.parseAtom();return 0===s&&this.parseLiteral(")"),t.rightDelim=0===s?")":"?",t.body=this.swapMathList(e),t}scanDelim(){this.skipWhitespace();const t=this.get();if(!t)return null;let e=".";"command"===t.type?e="\\"+t.value:"literal"===t.type&&(e=t.value);const s=Nt.getInfo(e,"math",this.macros);return s?"mopen"===s.type||"mclose"===s.type?e:/^(\?|\||<|>|\\vert|\\Vert|\\\||\\surd|\\uparrow|\\downarrow|\\Uparrow|\\Downarrow|\\updownarrow|\\Updownarrow|\\mid|\\mvert|\\mVert)$/.test(e)?e:null:null}scanLeftRight(){if(this.parseCommand("right")||this.parseCommand("mright")){const t=new ve(this.parseMode,"leftright");return t.rightDelim=this.scanDelim()||".",t}const t=this.style;let e="right";if(!this.parseCommand("left")){if(!this.parseCommand("mleft"))return null;e="mright"}const s=this.scanDelim()||".",i=this.swapMathList([]);for(;!this.end()&&!this.parseCommand(e);)this.parseAtom();this.style=t;const a=this.scanDelim(),o=new ve(this.parseMode,"leftright");return o.leftDelim=s,o.rightDelim=a,o.inner="right"===e,o.body=this.swapMathList(i),o}parseSupSub(){if("math"!==this.parseMode)return!1;let t=!1;for(;this.hasToken("^")||this.hasToken("_")||this.hasLiteral("'");){let e;if(this.hasToken("^")?e="superscript":this.hasToken("_")&&(e="subscript"),this.parseToken("^")||this.parseToken("_")){const s=this.scanArg();if(s){const i=this.lastMathAtom();i[e]=i[e]||[],i[e]=i[e].concat(s),t=!0}}else if(this.parseLiteral("'")){const e=this.lastMathAtom();e.superscript=e.superscript||[],e.superscript.push(new ve(e.parseMode,"mord","′")),t=!0}}return t}parseLimits(){if(this.parseCommand("limits")){const t=this.lastMathAtom();return t.limits="limits",t.explicitLimits=!0,!0}if(this.parseCommand("nolimits")){const t=this.lastMathAtom();return t.limits="nolimits",t.explicitLimits=!0,!0}return!1}scanOptionalArg(t){if(t=t&&"auto"!==t?t:this.parseMode,this.skipWhitespace(),!this.parseLiteral("["))return null;const e=this.parseMode;this.parseMode=t;const s=this.swapMathList();let i;for(;!this.end()&&!this.parseLiteral("]");)if("string"===t)i=this.scanString();else if("number"===t)i=this.scanNumber();else if("dimen"===t)i=this.scanDimen();else if("skip"===t)i=this.scanSkip();else if("colspec"===t)i=this.scanColspec();else if("color"===t)i=this.scanColor()||"#ffffff";else if("bbox"===t){const t=this.scanString().toLowerCase().trim().split(/,(?![^(]*\)(?:(?:[^(]*\)){2})*[^"]*$)/);for(const e of t){const t=ke.stringToColor(e);if(t)(i=i||{}).backgroundcolor=t;else{const t=e.match(/^\s*([0-9.]+)\s*([a-z][a-z])/);if(t)(i=i||{}).padding=C.toEm(t[1],t[2]);else{const t=e.match(/^\s*border\s*:\s*(.*)/);t&&((i=i||{}).border=t[1])}}}}else this.mathList=this.mathList.concat(this.scanImplicitGroup(t=>"literal"===t.type&&"]"===t.value));this.parseMode=e;const a=this.swapMathList(s);return i||a}scanArg(t){let e;if(t=t&&"auto"!==t?t:this.parseMode,this.parseFiller(),!this.parseToken("{")){if("delim"===t)return this.scanDelim()||".";if(/^(math|text)$/.test(t)){const e=this.parseMode;this.parseMode=t;const s=this.scanToken();return this.parseMode=e,Array.isArray(s)?s:s?[s]:null}}if(this.hasToken("#")){const t=this.get();return this.skipUntilToken("}"),"?"===t.value?this.placeholder():this.args?void 0===this.args[t.value]&&void 0!==this.args["?"]?this.placeholder():this.args[t.value]||null:null}const s=this.parseMode;this.parseMode=t;const i=this.swapMathList([]);if("string"===t)e=this.scanString(),this.skipUntilToken("}");else if("number"===t)e=this.scanNumber(),this.skipUntilToken("}");else if("dimen"===t)e=this.scanDimen(),this.skipUntilToken("}");else if("skip"===t)e=this.scanSkip(),this.skipUntilToken("}");else if("colspec"===t)e=this.scanColspec(),this.skipUntilToken("}");else if("color"===t)e=this.scanColor()||"#ffffff",this.skipUntilToken("}");else if("delim"===t)e=this.scanDelim()||".",this.skipUntilToken("}");else do{this.mathList=this.mathList.concat(this.scanImplicitGroup())}while(!this.parseToken("}")&&!this.end());this.parseMode=s;const a=this.swapMathList(i);return e||a}scanToken(){const t=this.get();if(!t)return null;let e=null;if("space"===t.type)"text"===this.parseMode&&(e=new ve("text",""," 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i=this.parent();for(;s&&!i[s];)s=e[s];if(s)return void this.setSelection(0,0,s);if(this.parent().array){const t=We(this.parent().array);let e=parseInt(this.relation().match(/cell([0-9]*)$/)[1])+1;for(;e<t;){if($e(this.parent().array,e)&&this.setSelection(0,0,"cell"+e))return void this.selectionDidChange();e+=1}}if(1===this.path.length)(this.suppressChangeNotifications||!this.config.onMoveOutOf||this.config.onMoveOutOf(this,"forward"))&&(this.path[0].offset=0);else{const e=!t.iterateAll&&this.parent().skipBoundary;this.path.pop(),e&&this.next(t)}return void this.selectionDidChange()}this.setSelection(this.anchorOffset()+1);const s=this.anchor();if(s&&!s.captureSelection){let i;if(s.array){let t=0;i="";const e=We(s.array);for(;!i&&t<e;)$e(s.array,t)&&(i="cell"+t.toString()),t+=1;return this.path.push({relation:i,offset:0}),void this.setSelection(0,0,i)}for(i="body";i;){if(Array.isArray(s[i]))return 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1===this.path.length?(this.suppressChangeNotifications||!this.config.onMoveOutOf||this.config.onMoveOutOf.bind(this)(-1))&&(this.path[0].offset=this.root.body.length-1):(this.path.pop(),this.setSelection(this.anchorOffset()-1)),void this.selectionDidChange()}const s=this.anchor();if(!s.captureSelection){let t;if(s.array){t="";const e=We(s.array);let i=e-1;for(;!t&&i<e;)$e(s.array,i)&&(t="cell"+i.toString()),i-=1;return i+=1,this.path.push({relation:t,offset:$e(s.array,i).length-1}),void this.setSelection(-1,0,t)}for(t="superscript";t;){if(Array.isArray(s[t]))return this.path.push({relation:t,offset:s[t].length-1}),void this.setSelection(-1,0,t);t=e[t]}}this.setSelection(this.anchorOffset()-1),!t.iterateAll&&this.sibling(0)&&this.sibling(0).skipBoundary&&this.previous(t)},Re.prototype.move=function(t,e){const s=(e=e||{extend:!1}).extend||!1;if(this.removeSuggestion(),s)this.extend(t,e);else{const e=Oe(this);if(t>0)for(this.collapseForward()&&t--;t>0;)this.next(),t--;else if(t<0)for(this.collapseBackward()&&t++;0!==t;)this.previous(),t++;this._announce("move",e)}},Re.prototype.up=function(t){const e=(t=t||{extend:!1}).extend||!1;this.collapseBackward();const s=this.relation();if("denom"===s)e?(this.selectionWillChange(),this.path.pop(),this.path[this.path.length-1].offset-=1,this.setExtent(1),this.selectionDidChange()):this.setSelection(this.anchorOffset(),0,"numer"),this._announce("moveUp");else if(this.parent().array){let e=Ne(this.parent().array,s);(e=He(this.parent().array,e,-1))?(this.path[this.path.length-1].relation="cell"+Ke(this.parent().array,e),this.setSelection(this.anchorOffset()),this._announce("moveUp")):this.move(-1,t)}else this._announce("line")},Re.prototype.down=function(t){const e=(t=t||{extend:!1}).extend||!1;this.collapseForward();const s=this.relation();if("numer"===s)e?(this.selectionWillChange(),this.path.pop(),this.path[this.path.length-1].offset-=1,this.setExtent(1),this.selectionDidChange()):this.setSelection(this.anchorOffset(),0,"denom"),this._announce("moveDown");else if(this.parent().array){let e=Ne(this.parent().array,s);(e=He(this.parent().array,e,1))?(this.path[this.path.length-1].relation="cell"+Ke(this.parent().array,e),this.setSelection(this.anchorOffset()),this._announce("moveDown")):this.move(1,t)}else this._announce("line")},Re.prototype.extend=function(t){let e=this.path[this.path.length-1].offset,s=0;const i=Oe(this),a=e+(s=this.extent+t);if(a<0&&0!==s){if(this.path.length>1)return this.selectionWillChange(),this.path.pop(),this.setExtent(-1),this.selectionDidChange(),void this._announce("move",i);e=this.path[this.path.length-1].offset,s=this.extent}else if(a>=this.siblings().length){if(this.path.length>1)return this.selectionWillChange(),this.path.pop(),this.path[this.path.length-1].offset-=1,this.setExtent(1),this.selectionDidChange(),void this._announce("move",i);this.isCollapsed()&&(e-=1),s-=1}this.setSelection(e,s),this._announce("move",i)},Re.prototype.skip=function(t,e){const s=(e=e||{extend:!1}).extend||!1;t=t<0?-1:1;const i=Oe(this),a=this.siblings(),o=this.focusOffset();let n=o+t;if(s&&(n=Math.min(Math.max(0,n),a.length-1)),n<0||n>=a.length)this.move(t,e);else{if(a[n]&&"text"===a[n].mode){if((n=this.wordBoundaryOffset(n,t))<0&&!s)return void this.setSelection(0);if(n>a.length)return this.setSelection(a.length-1),void this.move(t,e)}else{const e=a[n]?a[n].type:"";if("mopen"===e&&t>0||"mclose"===e&&t<0){let s="mopen"===e?1:-1;for(n+=t>0?1:-1;n>=0&&n<a.length&&0!==s;)"mopen"===a[n].type?s+=1:"mclose"===a[n].type&&(s-=1),n+=t;0!==s&&(n=o+t),t>0&&(n-=1)}else{for(;a[n]&&"math"===a[n].mode&&a[n].type===e;)n+=t;n-=t>0?1:0}}if(s){const t=this.anchorOffset();this.setSelection(t,n-t)}else this.setSelection(n);this._announce("move",i)}},Re.prototype.jump=function(t,e){const s=(e=e||{extend:!1}).extend||!1;t=t<0?-1:1;const i=this.siblings();let a=this.focusOffset();t>0&&(a=Math.min(a+1,i.length-1));const o=t<0?0:i.length-1;s?this.extend(o-a):this.move(o-a)},Re.prototype.jumpToMathFieldBoundary=function(t,e){const s=(e=e||{extend:!1}).extend||!1;t=(t=t||1)<0?-1:1;const i=Oe(this),a=[{relation:"body",offset:this.path[0].offset}];let o;s?t<0?a[0].offset>0&&(o=-a[0].offset):a[0].offset<this.siblings().length-1&&(o=this.siblings().length-1-a[0].offset):(a[0].offset=t<0?0:this.root.body.length-1,o=0),this.setPath(a,o),this._announce("move",i)},Re.prototype.leap=function(t,e){t=(t=t||1)<0?-1:1,e=e||!0;const s=Oe(this);this.move(t),"placeholder"===this.anchor().type&&this.move(t);const i=this.filter((t,e)=>"placeholder"===e.type||t.length>1&&1===this.siblings().length,t);if(0===i.length){if(e)if(this.config.onTabOutOf)this.config.onTabOutOf(this.target,t>0?"forward":"backward");else if(document.activeElement){const e='a[href]:not([disabled]),\n                    button:not([disabled]),\n                    textarea:not([disabled]),\n                    input[type=text]:not([disabled]),\n                    select:not([disabled]),\n                    [contentEditable="true"],\n                    [tabindex]:not([disabled]):not([tabindex="-1"])',s=Array.prototype.filter.call(document.querySelectorAll(e),t=>(t.offsetWidth>0||t.offsetHeight>0)&&!t.contains(document.activeElement)||t===document.activeElement);let i=s.indexOf(document.activeElement)+t;i<0&&(i=s.length-1),i>=s.length&&(i=0),s[i].focus()}return!1}return this.setPath(i[0]),"placeholder"===this.anchor().type&&this.setExtent(-1),this._announce("move",s),!0},Re.prototype.anchorMode=function(){const t=this.isCollapsed()?this.anchor():this.sibling(1);let e;if(t){if("commandliteral"===t.type||"command"===t.type)return"command";e=t.mode}let s=1,i=this.ancestor(s);for(;!e&&i;)i&&(e=i.mode),s+=1,i=this.ancestor(s);return e},Re.prototype.anchorStyle=function(){const t=this.isCollapsed()?this.anchor():this.sibling(1);let e;if(t&&"first"!==t.type){if("commandliteral"===t.type||"command"===t.type)return{};e={color:t.color,backgroundColor:t.backgroundColor,fontFamily:t.fontFamily,fontShape:t.fontShape,fontSeries:t.fontSeries}}let s=1,i=this.ancestor(s);for(;!e&&i;)i&&(e={color:i.color,backgroundColor:i.backgroundColor,fontFamily:i.fontFamily,fontShape:i.fontShape,fontSeries:i.fontSeries}),s+=1,i=this.ancestor(s);return e},Re.prototype.simplifyParen=function(t){t&&this.config.removeExtraneousParentheses&&t.forEach(t=>{if("genfrac"===t.type&&(this.simplifyParen(t.numer),this.simplifyParen(t.denom),t.numer=je(t.numer),t.denom=je(t.denom)),t.superscript&&(this.simplifyParen(t.superscript),t.superscript=je(t.superscript)),t.subscript&&(this.simplifyParen(t.subscript),t.subscript=je(t.subscript)),t.underscript&&(this.simplifyParen(t.underscript),t.underscript=je(t.underscript)),t.overscript&&(this.simplifyParen(t.overscript),t.overscript=je(t.overscript)),t.index&&(this.simplifyParen(t.index),t.index=je(t.index)),"surd"===t.type?(this.simplifyParen(t.body),t.body=je(t.body)):t.body&&Array.isArray(t.body)&&this.simplifyParen(t.body),t.array)for(let e=We(t.array);e>=0;e--)this.simplifyParen($e(t.array,e))})},Re.prototype.insert=function(t,e){e=e||{};const s=this.suppressChangeNotifications;e.suppressChangeNotifications&&(this.suppressChangeNotifications=!0),this.contentWillChange();const i=this.suppressChangeNotifications;this.suppressChangeNotifications=!0,e.insertionMode||(e.insertionMode="replaceSelection"),e.selectionMode||(e.selectionMode="placeholder"),e.format||(e.format="auto"),e.macros=e.macros||this.config.macros;const a=e.mode||this.anchorMode();let o;const n=[this.getSelectedAtoms()];void 0!==e.placeholder&&(n["?"]=e.placeholder),"replaceSelection"!==e.insertionMode||this.isCollapsed()?"replaceAll"===e.insertionMode?(this.root.body.splice(1),this.path=[{relation:"body",offset:0}],this.extent=0):"insertBefore"===e.insertionMode?this.collapseBackward():"insertAfter"===e.insertionMode&&this.collapseForward():this.delete_();const r=this.siblings(),l=this.startOffset();if(l+1<r.length&&r[l+1]&&"placeholder"===r[l+1].type?this.delete_(1):l>0&&r[l]&&"placeholder"===r[l].type&&this.delete_(-1),"math"===a&&"ASCIIMath"===e.format)t=Ze(t,{...this.config,format:"ASCIIMath"}),o=Ce.parseTokens(x.tokenize(t),"math",null,e.macros,!1),this.simplifyParen(o);else if("text"!==a&&"auto"===e.format)if("command"===a){o=[];for(const e of t)Nt.COMMAND_MODE_CHARACTERS.test(e)&&o.push(new ge.MathAtom("command","command",e))}else""===t?o=[new ge.MathAtom("command","command","\\")]:(t=Ze(t,this.config),n[0]?t=t.replace(/(^|[^\\])#@/g,"$1#0"):/(^|[^\\])#@/.test(t)?(t=t.replace(/(^|[^\\])#@/g,"$1#0"),n[0]=this.extractArgBeforeInsertionPoint(),this._deleteAtoms(-n[0].length),Array.isArray(n[0])&&0===n[0].length&&(n[0]=void 0)):t=t.replace(/(^|[^\\])#@/g,"$1#?"),o=Ce.parseTokens(x.tokenize(t),a,n,e.macros,e.smartFence),this.simplifyParen(o));else"latex"===e.format?o=Ce.parseTokens(x.tokenize(t),a,n,e.macros,e.smartFence):"text"!==a&&"text"!==e.format||(t=(t=(t=(t=(t=(t=(t=(t=(t=(t=(t=t.replace(/\\/g,"\\textbackslash ")).replace(/#/g,"\\#")).replace(/\$/g,"\\$")).replace(/%/g,"\\%")).replace(/&/g,"\\&")).replace(/_/g,"\\_")).replace(/{/g,"\\textbraceleft ")).replace(/}/g,"\\textbraceright ")).replace(/\^/g,"\\textasciicircum ")).replace(/~/g,"\\textasciitilde ")).replace(/£/g,"\\textsterling "),o=Ce.parseTokens(x.tokenize(t),"text",n,e.macros,!1));if(function t(e,s){e&&s&&(Array.isArray(e)?e.forEach(e=>t(e,s)):"object"==typeof e&&(e.color||e.backgroundColor||e.fontFamily||e.fontShape||e.fontSeries||(e.applyStyle(s),t(e.body,s),t(e.numer,s),t(e.denom,s),t(e.index,s),t(e.overscript,s),t(e.underscript,s),t(e.subscript,s),t(e.superscript,s))))}(o,e.style),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset()+1,0].concat(o)),this.insertFirstAtom(),this.suppressChangeNotifications=i,"placeholder"===e.selectionMode){let t=[];for(const e of o)t=t.concat(e.filter(t=>"placeholder"===t.type));0!==t.length&&this.leap(1,!1)?this._announce("move"):this.setSelection(this.anchorOffset()+o.length)}else"before"===e.selectionMode||("after"===e.selectionMode?this.setSelection(this.anchorOffset()+o.length):"item"===e.selectionMode&&this.setSelection(this.anchorOffset(),o.length));this.contentDidChange(),this.suppressChangeNotifications=s},Re.prototype._insertSmartFence=function(t,e){if(!this.config.smartFence)return!1;const s=this.parent();if("leftright"===s.type&&"|"!==s.leftDelim&&/\||\\vert|\\Vert|\\mvert|\\mid/.test(t))return this.insert("\\,\\middle"+t+"\\, ",{mode:"math",format:"latex",style:e}),!0;"{"!==t&&"\\{"!==t||(t="\\lbrace"),"}"!==t&&"\\}"!==t||(t="\\rbrace"),"["!==t&&"\\["!==t||(t="\\lbrack"),"]"!==t&&"\\]"!==t||(t="\\rbrack");const i=Nt.RIGHT_DELIM[t];if(i&&("leftright"!==s.type||"|"!==s.leftDelim)){let s="";const a=this.isCollapsed()||"placeholder"===this.anchor().type;return s=this.sibling(0).isFunction?"\\mleft"+t+"\\mright":"\\left"+t+"\\right",s+=a?"?":i,this.insert(s,{mode:"math",format:"latex",style:e}),a&&this.move(-1),!0}let a;for(const e in Nt.RIGHT_DELIM)Nt.RIGHT_DELIM.hasOwnProperty(e)&&t===Nt.RIGHT_DELIM[e]&&(a=e);if(a){if(s&&"leftright"===s.type&&this.endOffset()===this.siblings().length-1)return this.contentWillChange(),s.rightDelim=t,this.move(1),this.contentDidChange(),!0;const i=this.siblings();let a;for(a=this.endOffset();a>=0&&("leftright"!==i[a].type||"?"!==i[a].rightDelim);a--);if(a>=0)return this.contentWillChange(),i[a].rightDelim=t,i[a].body=i[a].body.concat(i.slice(a+1,this.endOffset()+1)),i.splice(a+1,this.endOffset()-a),this.setSelection(a),this.contentDidChange(),!0;if(s&&"leftright"===s.type&&"?"===s.rightDelim){this.contentWillChange(),s.rightDelim=t;const e=i.slice(this.endOffset()+1);return i.splice(this.endOffset()+1),this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.endOffset()+1,0].concat(e)),this.contentDidChange(),!0}const o=this.ancestor(2);return o&&"leftright"===o.type&&"?"===o.rightDelim&&this.endOffset()===i.length-1?(this.move(1),this._insertSmartFence(t,e)):(this.insert(t,{mode:"math",format:"latex",style:e}),!0)}return!1},Re.prototype.positionInsertionPointAfterCommitedCommand=function(){const t=this.siblings(),e=this.commandOffsets();let s=e.start;for(;s<e.end&&!t[s].suggestion;)s++;this.setSelection(s-1)},Re.prototype.removeSuggestion=function(){const t=this.siblings();for(let e=t.length-1;e>=0;e--)t[e].suggestion&&t.splice(e,1)},Re.prototype.insertSuggestion=function(t,e){this.removeSuggestion();const s=[],i=t.substr(e);for(const t of i){const e=new ge.MathAtom("command","command",t);e.suggestion=!0,s.push(e)}Array.prototype.splice.apply(this.siblings(),[this.anchorOffset()+1,0].concat(s))},Re.prototype._deleteAtoms=function(t){t>0?this.siblings().splice(this.anchorOffset()+1,t):(this.siblings().splice(this.anchorOffset()+t+1,-t),this.setSelection(this.anchorOffset()+t))},Re.prototype.delete=function(t){if(0===(t=t||0))this.delete_(0);else if(t>0)for(;t>0;)this.delete_(1),t--;else for(;t<0;)this.delete_(-1),t++},Re.prototype.delete_=function(t){this.contentWillChange();const e=this.suppressChangeNotifications;if(this.suppressChangeNotifications=!0,t=(t=t||0)<0?-1:t>0?1:t,this.removeSuggestion(),this.parent().array&&t<0&&0===this.startOffset()){const t=this.parent().array;if(function(t){const e={col:0,row:0};for(;e.row<t.length&&!$e(t,e);)e.row+=1;return $e(t,e)?"cell"+Ke(t,e):""}(t)===this.relation()){const e=function(t,e,s){e||(e=[";",","]);let i,a=[];for(const o of t)i?a.push(i):i=new ge.MathAtom("math","mpunct",e[0],s),a=a.concat(Ve(o,e[1]));return a}(t);this.path.pop(),this.siblings().splice(this.anchorOffset(),1,...e),this.setSelection(this.anchorOffset()-1,e.length)}else{const e=Ne(t,this.relation());if(0===e.col){const s=He(t,e,-1);s.col=t[s.row].length-1,this.path[this.path.length-1].relation="cell"+Ke(t,s);const i=t[s.row][s.col].length,a=Ve(t[e.row]);t[s.row][s.col]=t[s.row][s.col].concat(a),this.setSelection(i-1,a.length),function(t,e){t.splice(e,1)}(t,e.row)}else if(0===function(t,e){let s=0;const i={col:e,row:0};for(;i.row<t.length;){const e=$e(t,i);if(e&&e.length>0){let t=e.length;"first"===e[0].type&&(t-=1),t>0&&(s+=1)}i.row+=1}return s}(t,e.col)){!function(t,e){let s=0;for(;s<t.length;)t[s][e]&&t[s].splice(e,1),s+=1}(t,e.col),e.col-=1,this.path[this.path.length-1].relation="cell"+Ke(t,e);const s=t[e.row][e.col];this.setSelection(s.length-1,0)}}return this.suppressChangeNotifications=e,void this.contentDidChange()}const s=this.siblings();if(this.isCollapsed()){const e=this.anchorOffset();if(t<0)if(0!==e){const t=this.sibling(0);"leftright"===t.type?(t.rightDelim="?",this.move(-1)):!t.captureSelection&&/^(group|array|genfrac|surd|leftright|overlap|overunder|box|mathstyle|sizing)$/.test(t.type)?this.move(-1):(this._announce("delete",null,s.slice(e,e+1)),s.splice(e,1),this.setSelection(e-1))}else{const t=this.relation();if("superscript"===t||"subscript"===t){const e=this.parent()[t].filter(t=>"placeholder"!==t.type&&"first"!==t.type);this.parent()[t]=null,this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),0].concat(e)),this.setSelection(this.anchorOffset()-1),this._announce("deleted: "+t)}else if("denom"===t){const t=this.parent().numer.filter(t=>"placeholder"!==t.type&&"first"!==t.type),e=this.parent().denom.filter(t=>"placeholder"!==t.type&&"first"!==t.type);this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),1].concat(e)),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),0].concat(t)),this.setSelection(this.anchorOffset()+t.length-1),this._announce("deleted: denominator")}else if("body"===t){const t=this.siblings().filter(t=>"placeholder"!==t.type);this.path.length>1&&(t.shift(),this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),1].concat(t)),this.setSelection(this.anchorOffset()-1),this._announce("deleted: root"))}else this.move(-1),this.delete(-1)}else if(t>0)if(e!==s.length-1)/^(group|array|genfrac|surd|leftright|overlap|overunder|box|mathstyle|sizing)$/.test(this.sibling(1).type)?this.move(1):(this._announce("delete",null,s.slice(e+1,e+2)),s.splice(e+1,1));else{if("numer"===this.relation()){const t=this.parent().numer.filter(t=>"placeholder"!==t.type&&"first"!==t.type),e=this.parent().denom.filter(t=>"placeholder"!==t.type&&"first"!==t.type);this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),1].concat(e)),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),0].concat(t)),this.setSelection(this.anchorOffset()+t.length-1),this._announce("deleted: numerator")}else this.move(1),this.delete(1)}}else{const 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is"},{latex:"\\nexists",aside:"there isn’t"},{latex:"\\ni",aside:"such that"},{latex:"\\Colon",aside:"such that"},{latex:"\\implies",aside:"implies"},{latex:"\\impliedby",aside:"implied by"},{latex:"\\iff",aside:"if and only if"},{latex:"\\land",aside:"and"},{latex:"\\lor",aside:"or"},{latex:"\\oplus",aside:"xor"},{latex:"\\lnot",aside:"not"},{latex:"\\downarrow",aside:"nor"},{latex:"\\uparrow",aside:"nand"},{latex:"\\curlywedge",aside:"nor"},{latex:"\\bar\\curlywedge",aside:"nand"},{latex:"\\therefore",aside:"therefore"},{latex:"\\because",aside:"because"},{latex:"^\\biconditional",aside:"biconditional"},"\\leftrightarrow","\\Leftrightarrow","\\to","\\models","\\vdash","\\gets","\\dashv","\\roundimplies"],"set-operators":["\\cap","\\cup","\\setminus","\\smallsetminus","\\complement"],"set-relations":["\\in","\\notin","\\ni","\\owns","\\subset","\\supset","\\subseteq","\\supseteq","\\subsetneq","\\supsetneq","\\varsubsetneq","\\subsetneqq","\\nsubset","\\nsupset","\\nsubseteq","\\nsupseteq"],space:[{latex:'\\char"203A\\!\\char"2039',insert:"\\!",aside:"negative thin space<br>⁻³⧸₁₈ em"},{latex:'\\unicode{"203A}\\,\\unicode{"2039}',insert:"\\,",aside:"thin space<br>³⧸₁₈ em"},{latex:'\\unicode{"203A}\\:\\unicode{"2039}',insert:"\\:",aside:"medium space<br>⁴⧸₁₈ em"},{latex:'\\unicode{"203A}\\;\\unicode{"2039}',insert:"\\;",aside:"thick space<br>⁵⧸₁₈ em"},{latex:'\\unicode{"203A}\\ \\unicode{"2039}',insert:"\\ ",aside:"⅓ em"},{latex:'\\unicode{"203A}\\enspace\\unicode{"2039}',insert:"\\enspace",aside:"½ em"},{latex:'\\unicode{"203A}\\quad\\unicode{"2039}',insert:"\\quad",aside:"1 em"},{latex:'\\unicode{"203A}\\qquad\\unicode{"2039}',insert:"\\qquad",aside:"2 em"}],delete:[{label:'<span class="warning"><svg><use xlink:href="#svg-trash" /></svg></span>',command:'"deleteAll"'}],"->|":[]};let bs={};const xs={math:"\n        <div class='rows'>\n            <ul>\n                <li class='keycap tex' data-alt-keys='x-var'><i>x</i></li>\n                <li class='keycap tex' data-alt-keys='n-var'><i>n</i></li>\n                <li class='separator w5'></li>\n                <row name='numpad-1'/>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-key='ee' data-alt-keys='ee'>e</li>\n                <li class='keycap tex' data-key='ii' data-alt-keys='ii'>i</li>\n                <li class='keycap tex' data-latex='\\pi' data-alt-keys='numeric-pi'></li>\n            </ul>\n            <ul>\n                <li class='keycap tex' data-key='<' data-alt-keys='<'>&lt;</li>\n                <li class='keycap tex' data-key='>' data-alt-keys='>'>&gt;</li>\n                <li class='separator w5'></li>\n                <row name='numpad-2'/>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-alt-keys='x2' data-insert='#@^{2}'><span><i>x</i>&thinsp;²</span></li>\n                <li class='keycap tex' data-alt-keys='^' data-insert='#@^{#?}'><span><i>x</i><sup>&thinsp;<small>&#x2b1a;</small></sup></span></li>\n                <li class='keycap tex' data-alt-keys='sqrt' data-insert='\\sqrt{#0}' data-latex='\\sqrt{#0}'></li>\n            </ul>\n            <ul>\n                <li class='keycap tex' data-alt-keys='(' >(</li>\n                <li class='keycap tex' data-alt-keys=')' >)</li>\n                <li class='separator w5'></li>\n                <row name='numpad-3'/>\n                <li class='separator w5'></li>\n                <li class='keycap tex small' data-alt-keys='int' data-latex='\\int_0^\\infty'><span></span></li>\n                <li class='keycap tex' data-latex='\\forall' data-alt-keys='logic' ></li>\n                <li class='action font-glyph bottom right' data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'>&#x232b;</li></ul>\n            </ul>\n            <ul>\n                <li class='keycap' data-alt-keys='foreground-color' data-command='[\"applyStyle\",{\"color\":\"#cc2428\"}]'><span style='border-radius: 50%;width:22px;height:22px; border: 3px solid #cc2428; box-sizing: border-box'></span></li>\n                <li class='keycap' data-alt-keys='background-color' data-command='[\"applyStyle\",{\"backgroundColor\":\"#fff590\"}]'><span style='border-radius: 50%;width:22px;height:22px; background:#fff590; box-sizing: border-box'></span></li>\n                <li class='separator w5'></li>\n                <row name='numpad-4'/>\n                <li class='separator w5'></li>\n                <arrows/>\n            </ul>\n        </div>\n    ","lower-roman":"\n        <div class='rows'>\n            <ul>\n                <row name='numpad-1' class='if-wide'/>\n                <row name='lower-1' shift-layer='upper-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-2' class='if-wide'/>\n                <row name='lower-2'  shift-layer='upper-roman''/>\n            </ul>\n            <ul>\n                <row name='numpad-3' class='if-wide'/>\n                <row name='lower-3'  shift-layer='upper-roman''/>\n            </ul>\n            <ul>\n                <row name='numpad-4' class='if-wide'/>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='symbols'>&infin;≠</li>\n                <li class='keycap' data-alt-keys=','>,</li>\n                <li class='keycap w50' data-key=' ' data-alt-keys='space'>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","upper-roman":"\n        <div class='rows'>\n            <ul>\n                <row name='numpad-1' class='if-wide'/>\n                <row name='upper-1'  shift-layer='lower-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-2' class='if-wide'/>\n                <row name='upper-2' shift-layer='lower-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-3' class='if-wide'/>\n                <row name='upper-3' shift-layer='lower-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-4' class='if-wide'/>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='symbols'>&infin;≠</li>\n                <li class='keycap' data-alt-keys='.'>;</li>\n                <li class='keycap w50' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>",symbols:"\n        <div class='rows'>\n            <ul>\n                <row name='numpad-1' class='if-wide'/>\n                <li class='keycap tex' data-alt-keys='(' data-insert='\\lbrace '>{</li>\n                <li class='keycap tex' data-alt-keys=')' data-insert='\\rbrace '>}</li>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-alt-keys='set' data-insert='\\in '>&#x2208;</li>\n                <li class='keycap tex' data-alt-keys='!set' data-insert='\\notin '>&#x2209;</li>\n                <li class='keycap tex' data-insert='\\Re '>&#x211c;<aside>Real</aside></li>\n                <li class='keycap tex' data-insert='\\Im '>&#x2111;<aside>Imaginary</aside></li>\n                <li class='keycap w15' data-insert='\\ulcorner#0\\urcorner '><span><sup>&#x250c;</sup><span><span style='color:#ddd'>o</span><sup>&#x2510;</sup></span><aside>ceil</aside></li>\n                <li class='keycap tex' data-alt-keys='nabla' data-insert='\\nabla '>&#x2207;<aside>nabla</aside></li>\n                <li class='keycap tex' data-alt-keys='infinity' data-insert='\\infty '>&#x221e;</li>\n\n            </ul>\n            <ul>\n                <row name='numpad-2' class='if-wide'/>\n                <li class='keycap tex' data-alt-keys='(' data-insert='\\lbrack '>[</li>\n                <li class='keycap tex' data-alt-keys=')' data-insert='\\rbrack '>]</li>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-alt-keys='subset' data-insert='\\subset '>&#x2282;</li>\n                <li class='keycap tex' data-alt-keys='supset' data-insert='\\supset '>&#x2283;</li>\n                <li class='keycap tex' data-key='!' data-alt-keys='!'>!<aside>factorial</aside></li>\n                <li class='keycap' data-insert='^{\\prime} '><span><sup><span><span style='color:#ddd'>o</span>&#x2032</sup></span><aside>prime</aside></li>\n                <li class='keycap w15' data-insert='\\llcorner#0\\lrcorner '><span><sub>&#x2514;</sub><span style='color:#ddd'>o</span><sub>&#x2518;</sub></span><aside>floor</aside></li>\n                <li class='keycap tex' data-insert='\\partial '>&#x2202;<aside>partial<br>derivative</aside></li>\n                <li class='keycap tex' data-insert='\\emptyset '>&#x2205;<aside>empty set</aside></li>\n\n            </ul>\n            <ul>\n                <row name='numpad-3' class='if-wide'/>\n                <li class='keycap tex' data-alt-keys='(' data-insert='\\langle '>&#x27e8;</li>\n                <li class='keycap tex' data-alt-keys=')' data-insert='\\rangle '>&#x27e9;</li>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-insert='\\subseteq '>&#x2286;</li>\n                <li class='keycap tex' data-insert='\\supseteq '>&#x2287;</li>\n                <li class='keycap tex' data-alt-keys='accents' data-insert='\\vec{#@}' data-latex='\\vec{#?}' data-aside='vector'></li>\n                <li class='keycap tex' data-alt-keys='accents' data-insert='\\bar{#@}' data-latex='\\bar{#?}' data-aside='bar'></li>\n                <li class='keycap tex' data-alt-keys='absnorm' data-insert='\\lvert #@ \\rvert ' data-latex='\\lvert #? \\rvert' data-aside='abs'></li>\n                <li class='keycap tex' data-insert='\\ast '>&#x2217;<aside>asterisk</aside></li>\n\n                <li class='action font-glyph bottom right w15'\n                    data-shifted='<span class=\"warning\"><svg><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'\n                >&#x232b;</li>\n            </ul>\n            <ul>\n                <row name='numpad-4' class='if-wide'/>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='lower-roman'>abc</li>\n                <li class='keycap tex' data-insert='\\cdot '>&#x22c5;<aside>centered dot</aside></li>\n                <li class='keycap tex' data-insert='\\colon '>:<aside>colon</aside></li>\n                <li class='keycap tex' data-insert='\\circ '>&#x2218;<aside>circle</aside></li>\n                <li class='keycap tex' data-insert='\\approx '>&#x2248;<aside>approx.</aside></li>\n                <li class='keycap tex' data-insert='\\ne '>&#x2260;</li>\n                <li class='keycap tex' data-insert='\\pm '>&#x00b1;</li>\n                <arrows/>\n            </ul>\n        </div>","lower-greek":"\n        <div class='rows'>\n            <ul><li class='keycap tex' data-insert='\\varphi '><i>&#x03c6;</i><aside>phi var.</aside></li>\n                <li class='keycap tex' data-insert='\\varsigma '><i>&#x03c2;</i><aside>sigma var.</aside></li>\n                <li class='keycap tex' data-insert='\\epsilon '><i>&#x03f5;</i></li>\n                <li class='keycap tex' data-insert='\\rho '><i>&rho;</i></li>\n                <li class='keycap tex' data-insert='\\tau '><i>&tau;</i></li>\n                <li class='keycap tex' data-insert='\\upsilon '><i>&upsilon;</i></li>\n                <li class='keycap tex' data-insert='\\theta '><i>&theta;</i></li>\n                <li class='keycap tex' data-insert='\\iota '><i>&iota;</i></li>\n                <li class='keycap tex' data-insert='\\omicron '>&omicron;</i></li>\n                <li class='keycap tex' data-insert='\\pi '><i>&pi;</i></li>\n            </ul>\n            <ul><li class='keycap tex' data-insert='\\alpha ' data-shifted='&Alpha;' data-shifted-command='[\"insert\",\"{\\\\char\\\"391}\"]'><i>&alpha;</i></li>\n                <li class='keycap tex' data-insert='\\sigma '><i>&sigma;</i></li>\n                <li class='keycap tex' data-insert='\\delta '><i>&delta;</i></li>\n                <li class='keycap tex' data-insert='\\phi '><i>&#x03d5;</i></i></li>\n                <li class='keycap tex' data-insert='\\gamma '><i>&gamma;</i></li>\n                <li class='keycap tex' data-insert='\\eta '><i>&eta;</i></li>\n                <li class='keycap tex' data-insert='\\xi '><i>&xi;</i></li>\n                <li class='keycap tex' data-insert='\\kappa '><i>&kappa;</i></li>\n                <li class='keycap tex' data-insert='\\lambda '><i>&lambda;</i></li>\n            </ul>\n            <ul><li class='shift modifier font-glyph bottom left w15 layer-switch' data-layer='upper-greek'>&#x21e7;</li>\n                <li class='keycap tex' data-insert='\\zeta '><i>&zeta;</i></li>\n                <li class='keycap tex' data-insert='\\chi '><i>&chi;</i></li>\n                <li class='keycap tex' data-insert='\\psi '><i>&psi;</i></li>\n                <li class='keycap tex' data-insert='\\omega '><i>&omega;</i></li>\n                <li class='keycap tex' data-insert='\\beta '><i>&beta;</i></li>\n                <li class='keycap tex' data-insert='\\nu '><i>&nu;</i></li>\n                <li class='keycap tex' data-insert='\\mu '><i>&mu;</i></li>\n                <li class='action font-glyph bottom right w15'\n                    data-shifted='<span class=\"warning\"><svg><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'\n                >&#x232b;</li>\n            </ul>\n            <ul>\n                <li class='keycap ' data-key=' '>&nbsp;</li>\n                <li class='keycap'>,</li>\n                <li class='keycap tex' data-insert='\\varepsilon '><i>&#x03b5;</i><aside>epsilon var.</aside></li>\n                <li class='keycap tex' data-insert='\\vartheta '><i>&#x03d1;</i><aside>theta var.</aside></li>\n                <li class='keycap tex' data-insert='\\varkappa '><i>&#x3f0;</i><aside>kappa var.</aside></li>\n                <li class='keycap tex' data-insert='\\varpi '><i>&#x03d6;<aside>pi var.</aside></i></li>\n                <li class='keycap tex' data-insert='\\varrho '><i>&#x03f1;</i><aside>rho var.</aside></li>\n                <arrows/>\n            </ul>\n        </div>","upper-greek":"\n        <div class='rows'>\n            <ul><li class='keycap tex' data-insert='\\Phi '>&Phi;<aside>phi</aside></li>\n                <li class='keycap tex' data-insert='\\Sigma '>&Sigma;<aside>sigma</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"0190}'>&#x0190;<aside>epsilon</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"3A1}'>&#x3A1;<aside>rho</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"3A4}'>&#x3A4;<aside>tau</aside></li>\n                <li class='keycap tex' data-insert='\\Upsilon '>&Upsilon;<aside>upsilon</aside></li>\n                <li class='keycap tex' data-insert='\\Theta '>&Theta;<aside>theta</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"399}'>&Iota;<aside>iota</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"39F}'>&#x039F;<aside>omicron</aside></li>\n                <li class='keycap tex' data-insert='\\Pi '>&Pi;<aside>pi</aside></li></ul>\n            <ul><li class='keycap tex' data-insert='{\\char\"391}'>&#x391;<aside>alpha</aside></li>\n                <li class='keycap tex' data-insert='\\Sigma '>&Sigma;<aside>sigma</aside></li>\n                <li class='keycap tex' data-insert='\\Delta '>&Delta;<aside>delta</aside></li>\n                <li class='keycap tex' data-insert='\\Phi '>&#x03a6;<aside>phi</aside></li>\n                <li class='keycap tex' data-insert='\\Gamma '>&Gamma;<aside>gamma</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"397}'>&Eta;<aside>eta</aside></li>\n                <li class='keycap tex' data-insert='\\Xi '>&Xi;<aside>xi</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"39A}'>&Kappa;<aside>kappa</aside></li>\n                <li class='keycap tex' data-insert='\\Lambda '>&Lambda;<aside>lambda</aside></li></ul>\n            <ul><li class='shift modifier font-glyph bottom left selected w15 layer-switch' data-layer='lower-greek'>&#x21e7;</li>\n                <li class='keycap tex' data-insert='{\\char\"396}'>&Zeta;<aside>zeta</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"3A7}'>&Chi;<aside>chi</aside></li>\n                <li class='keycap tex' data-insert='\\Psi '>&Psi;<aside>psi</aside></li>\n                <li class='keycap tex' data-insert='\\Omega '>&Omega;<aside>omega</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"392}'>&Beta;<aside>beta</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"39D}'>&Nu;<aside>nu</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"39C}'>&Mu;<aside>mu</aside></li>\n                <li class='action font-glyph bottom right w15' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'>&#x232b;</li></ul>\n            <ul>\n                <li class='separator w10'>&nbsp;</li>\n                <li class='keycap'>.</li>\n                <li class='keycap w50' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","lower-command":"\n        <div class='rows'>\n            <ul><row name='lower-1' class='tt' shift-layer='upper-command'/></ul>\n            <ul><row name='lower-2' class='tt' shift-layer='upper-command'/></ul>\n            <ul><row name='lower-3' class='tt' shift-layer='upper-command'/></ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='symbols-command'>01#</li>\n                <li class='keycap tt' data-shifted='[' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \"[\"]'>{</li>\n                <li class='keycap tt' data-shifted=']' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \"]\"]'>}</li>\n                <li class='keycap tt' data-shifted='(' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \"(\"]'>^</li>\n                <li class='keycap tt' data-shifted=')' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \")\"]'>_</li>\n                <li class='keycap w20' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","upper-command":"\n        <div class='rows'>\n            <ul><row name='upper-1' class='tt' shift-layer='lower-command'/></ul>\n            <ul><row name='upper-2' class='tt' shift-layer='lower-command'/></ul>\n            <ul><row name='upper-3' class='tt' shift-layer='lower-command'/></ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='symbols-command'01#</li>\n                <li class='keycap tt'>[</li>\n                <li class='keycap tt'>]</li>\n                <li class='keycap tt'>(</li>\n                <li class='keycap tt'>)</li>\n                <li class='keycap w20' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","symbols-command":"\n        <div class='rows'>\n            <ul><li class='keycap tt'>1</li><li class='keycap tt'>2</li><li class='keycap tt'>3</li><li class='keycap tt'>4</li><li class='keycap tt'>5</li><li class='keycap tt'>6</li><li class='keycap tt'>7</li><li class='keycap tt'>8</li><li class='keycap tt'>9</li><li class='keycap tt'>0</li></ul>\n            <ul><li class='keycap tt'>!</li><li class='keycap tt'>@</li><li class='keycap tt'>#</li><li class='keycap tt'>$</li><li class='keycap tt'>%</li><li class='keycap tt'>^</li><li class='keycap tt'>&</li><li class='keycap tt'>*</li><li class='keycap tt'>+</li><li class='keycap tt'>=</li></ul>\n            <ul>\n                <li class='keycap tt'>\\</li>\n                <li class='keycap tt'>|</li>\n                <li class='keycap tt'>/</li>\n                <li class='keycap tt'>`</li>\n                <li class='keycap tt'>;</li>\n                <li class='keycap tt'>:</li>\n                <li class='keycap tt'>?</li>\n                <li class='keycap tt'>'</li>\n                <li class='keycap tt'>\"</li>\n                <li class='action font-glyph bottom right'\n                    data-shifted='<span class=\"warning\"><svg><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'\n                >&#x232b;</li>\n            </ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='lower-command'>abc</li>\n                <li class='keycap tt'>&lt;</li>\n                <li class='keycap tt'>&gt;</li>\n                <li class='keycap tt'>~</li>\n                <li class='keycap tt'>,</li>\n                <li class='keycap tt'>.</li>\n                <li class='keycap' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>",functions:"\n        <div class='rows'>\n            <ul><li class='separator'></li>\n                <li class='fnbutton' data-insert='\\sin'></li>\n                <li class='fnbutton' data-insert='\\sin^{-1}'></li>\n                <li class='fnbutton' data-insert='\\ln'></li>\n                <li class='fnbutton' data-insert='\\exponentialE^{#?}'></li>\n                <li class='bigfnbutton' data-insert='\\operatorname{lcm}(#?)' data-latex='\\operatorname{lcm}()'></li>\n                <li class='bigfnbutton' data-insert='\\operatorname{ceil}(#?)' data-latex='\\operatorname{ceil}()'></li>\n                <li class='bigfnbutton' 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xml:lang="en-US"><amazon:auto-breaths>'+t+"<p><s>"+s+"</s></p>"+(t?"</prosody>":"")+"</amazon:auto-breaths></speak>"}else s="mac"===e.textToSpeechMarkup&&"mac"===function(t){let e="other";return navigator&&navigator.platform&&navigator.userAgent&&(/^(mac)/i.test(navigator.platform)?e="mac":/^(win)/i.test(navigator.platform)?e="win":/(android)/i.test(navigator.userAgent)?e="android":/(iphone)/i.test(navigator.userAgent)||/(ipod)/i.test(navigator.userAgent)||/(ipad)/i.test(navigator.userAgent)?e="ios":/\bCrOS\b/i.test(navigator.userAgent)&&(e="chromeos")),e===t?t:"!"+t}("mac")?s.replace(/<mark([^\/]*)\/>/g,"").replace(/<emphasis>/g,"[[emph+]]").replace(/<\/emphasis>/g,"").replace(/<break time="([0-9]*)ms"\/>/g,"[[slc $1]]").replace(/<say-as[^>]*>/g,"").replace(/<\/say-as>/g,""):s.replace(/<[^>]*>/g,"").replace(/\s{2,}/g," ");return s};function Si(t,e,s,i){e=e.split(" ");for(const a of e){const e=a.match(/(.*):(.*)/);if(e){const a=i||{};"active"===e[2]?a.passive=!1:a[e[2]]=!0,t.addEventListener(e[1],s,a)}else t.addEventListener(a,s,i)}}function Ai(t,e,s,i){e=e.split(" ");for(const a of e){const e=a.match(/(.*):(.*)/);if(e){const a=i||{};"active"===e[2]?a.passive=!1:a[e[2]]=!0,t.removeEventListener(e[1],s,a)}else t.removeEventListener(a,s,i)}}function Mi(t,e){let s=document.getElementById(t);return s?s.setAttribute("data-refcount",parseInt(s.getAttribute("data-refcount"))+1):((s=document.createElement("div")).setAttribute("aria-hidden","true"),s.setAttribute("data-refcount","1"),s.className=e,s.id=t,document.body.appendChild(s)),s}function Ci(t){if(!t)return null;const e=parseInt(t.getAttribute("data-refcount"));return e&&1!==e?t.setAttribute("data-refcount",e-1):t.remove(),t}function _i(t,e){this.$setConfig(e||{}),this.element=t,t.mathfield=this,this.originalContent=t.innerHTML;let s=this.element.textContent;s&&(s=s.trim());let i="";this.config.substituteTextArea?"string"==typeof this.config.substituteTextArea?i+=this.config.substituteTextArea:i+="<span></span>":/android|ipad|ipod|iphone/i.test(navigator.userAgent)?i+="<span class='ML__textarea'>\n                <span class='ML__textarea__textarea'\n                    tabindex=\"0\" role=\"textbox\"\n                    style='display:inline-block;height:1px;width:1px' >\n                </span>\n            </span>":i+='<span class="ML__textarea"><textarea class="ML__textarea__textarea" autocapitalize="off" autocomplete="off" autocorrect="off" spellcheck="false" aria-hidden="true" tabindex="-1"></textarea></span>',i+='<span class="ML__fieldcontainer"><span class="ML__fieldcontainer__field"></span>',this.config.virtualKeyboardMode||(this.config.virtualKeyboardMode=window.matchMedia&&window.matchMedia("(any-pointer: coarse)").matches?"onfocus":"off"),"manual"===this.config.virtualKeyboardMode?(i+=`<button class="ML__virtual-keyboard-toggle" data-tooltip="${us("tooltip.toggle virtual keyboard")}">`,this.config.virtualKeyboardToggleGlyph?i+=this.config.virtualKeyboardToggleGlyph:i+='<span style="width: 21px; margin-top: 4px;"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 576 512"><path d="M528 64H48C21.49 64 0 85.49 0 112v288c0 26.51 21.49 48 48 48h480c26.51 0 48-21.49 48-48V112c0-26.51-21.49-48-48-48zm16 336c0 8.823-7.177 16-16 16H48c-8.823 0-16-7.177-16-16V112c0-8.823 7.177-16 16-16h480c8.823 0 16 7.177 16 16v288zM168 268v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm-336 80v-24c0-6.627-5.373-12-12-12H84c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm384 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zM120 188v-24c0-6.627-5.373-12-12-12H84c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm-96 152v-8c0-6.627-5.373-12-12-12H180c-6.627 0-12 5.373-12 12v8c0 6.627 5.373 12 12 12h216c6.627 0 12-5.373 12-12z"/></svg></span>',i+="</button>"):i+="<span ></span>",i+="</span>",i+='\n        <div class="sr-only">\n            <span aria-live="assertive" aria-atomic="true"></span>\n            <span></span>\n        </div>\n    ',this.element.innerHTML=i;let a=0;"function"==typeof this.config.substituteTextArea?this.textarea=this.config.substituteTextArea():this.textarea=this.element.children[a++].firstElementChild,this.field=this.element.children[a].children[0],this.virtualKeyboardToggleDOMNode=this.element.children[a++].children[1],this._attachButtonHandlers(this.virtualKeyboardToggleDOMNode,{default:"toggleVirtualKeyboard",alt:"toggleVirtualKeyboardAlt",shift:"toggleVirtualKeyboardShift"}),this.ariaLiveText=this.element.children[a].children[0],this.accessibleNode=this.element.children[a++].children[1],this.popover=Mi("mathlive-popover-panel","ML__popover"),this.keystrokeCaption=Mi("mathlive-keystroke-caption-panel","ML__keystroke-caption"),this.keystrokeCaptionVisible=!1,this.virtualKeyboardVisible=!1,this.keystrokeBuffer="",this.keystrokeBufferStates=[],this.keystrokeBufferResetTimer=null,this.suggestionIndex=0,this.mode=e.defaultMode||"math",this.smartModeSuppressed=!1,this.style={},this.blurred=!0,Si(window,"focus",this),Si(window,"blur",this),Si(this.element,"focus",this),Si(this.element,"blur",this),Si(this.textarea,"cut",this),Si(this.textarea,"copy",this),Si(this.textarea,"paste",this),os.delegateKeyboardEvents(this.textarea,{container:this.element,allowDeadKey:()=>"text"===this.mode,typedText:this._onTypedText.bind(this),paste:this._onPaste.bind(this),keystroke:this._onKeystroke.bind(this)}),Si(this.element,"touchstart:active mousedown",this),Si(window,"resize",this);const o={...e};o.onSelectionDidChange=_i.prototype._onSelectionDidChange.bind(this),o.onContentDidChange=_i.prototype._onContentDidChange.bind(this),o.onAnnounce=this.config.onAnnounce,o.smartFence=this.config.smartFence,o.macros=this.config.macros,o.removeExtraneousParentheses=this.config.removeExtraneousParentheses,this.mathlist=new ts.EditableMathlist(o,this),this.undoManager=new ns.UndoManager(this.mathlist),s.length>0&&this.$latex(s),this.undoManager.startRecording(),this.undoManager.snapshot(this.config)}let Ti,Li;_i.prototype.handleEvent=function(t){switch(t.type){case"focus":this._onFocus(t);break;case"blur":this._onBlur(t);break;case"touchstart":case"mousedown":this._onPointerDown(t);break;case"resize":this._resizeTimer&&window.cancelAnimationFrame(this._resizeTimer),this._resizeTimer=window.requestAnimationFrame(()=>this._onResize());break;case"cut":this._onCut(t);break;case"copy":this._onCopy(t);break;case"paste":this._onPaste(t)}},_i.prototype.revertToOriginalContent=_i.prototype.$revertToOriginalContent=function(){this.element.innerHTML=this.originalContent,this.element.mathfield=null,delete this.accessibleNode,delete this.ariaLiveText,delete this.field,Ai(this.textarea,"cut",this),Ai(this.textarea,"copy",this),Ai(this.textarea,"paste",this),this.textarea.remove(),delete this.textarea,this.virtualKeyboardToggleDOMNode.remove(),delete this.virtualKeyboardToggleDOMNode,Ci(this.popover),Ci(this.keystrokeCaption),Ci(this.virtualKeyboard),Ci(document.getElementById("mathlive-alternate-keys-panel")),Ai(this.element,"touchstart:active mousedown",this),Ai(this.element,"focus",this),Ai(this.element,"blur",this),Ai(window,"resize",this),Ai(window,"focus",this),Ai(window,"blur",this)},_i.prototype._resetKeystrokeBuffer=function(){this.keystrokeBuffer="",this.keystrokeBufferStates=[],clearTimeout(this.keystrokeBufferResetTimer)},_i.prototype._getCaretPosition=function(){const t=function t(e){if(e.classList.contains("ML__caret")||e.classList.contains("ML__text-caret")||e.classList.contains("ML__command-caret"))return e;let s;return Array.from(e.children).forEach(function(e){s=s||t(e)}),s}(this.field);if(t){const e=t.getBoundingClientRect();return{x:e.right+window.scrollX,y:e.bottom+window.scrollY}}return null},_i.prototype._pathFromPoint=function(t,e,s){let i;(s=s||{}).bias=s.bias||0;const a=function t(e,s,i){let a={element:null},o=!0;if(e.getAttribute("data-atom-id")){a.element=e;const t=e.getBoundingClientRect(),n=Math.max(t.left-s,s-t.right),r=Math.max(t.top-i,i-t.bottom);a.distance=n*n+r*r,o=s>=t.left&&s<=t.right}else a.distance=Number.POSITIVE_INFINITY;return o&&e.children&&Array.from(e.children).forEach(function(e){const o=t(e,s,i);o.element&&o.distance<=a.distance&&(a=o)}),a}(this.field,t,e).element,o=a?a.getAttribute("data-atom-id"):null;if(o){const e=this.mathlist.filter(function(t,e){return e.captureSelection?e.filter(t=>t.id===o).length>0:e.id===o});if(e&&e.length>0)if(i=Le.pathFromString(e[0]).path,0===s.bias){const e=a.getBoundingClientRect();t<e.left+e.width/2&&!a.classList.contains("ML__placeholder")&&(i[i.length-1].offset=Math.max(0,i[i.length-1].offset-1))}else s.bias<0&&(i[i.length-1].offset=Math.min(this.mathlist.siblings().length-1,Math.max(0,i[i.length-1].offset+s.bias)))}return i};let Di=0;function Fi(t,e,s){const i=Object.assign({},t.config);return i.textToSpeechMarkup="",e+ge.toSpeakableText(s,i)}function Ei(t,e,s,i){let a="";"plonk"===e?(t.plonkSound&&(t.plonkSound.load(),t.plonkSound.play().catch(t=>void 0)),t._resetKeystrokeBuffer()):"delete"===e?a=Fi(t,"deleted: ",i):"focus"===e||/move/.test(e)?a=(t.mathlist.isCollapsed()?"":"selected: ")+t._nextAtomSpeechText(s):"replacement"===e?a=Fi(t,"",t.mathlist.sibling(0)):"line"===e?(a=Fi(t,"",t.mathlist.root),t.accessibleNode.innerHTML='<math xmlns="http://www.w3.org/1998/Math/MathML">'+ge.toMathML(t.mathlist.root,t.config)+"</math>",t.textarea.setAttribute("aria-label","after: "+a)):a=i?Fi(t,e+" ",i):e;const o=/\u00a0/.test(t.ariaLiveText.textContent)?"   ":"   ";t.ariaLiveText.textContent=a+o}_i.prototype._onPointerDown=function(t){let e;const s=this;let i=!1,a=!1,o=!1;function n(t){Ai(s.field,"touchmove",r),Ai(s.field,"touchend touchleave",n),Ai(window,"mousemove",r),Ai(window,"mouseup blur",n),i=!1,t.preventDefault(),t.stopPropagation()}function r(t){const i=t.touches?t.touches[0].clientX:t.clientX,o=t.touches?t.touches[0].clientY:t.clientY;if(Date.now()<h+500&&Math.abs(l-i)<5&&Math.abs(c-o)<5)return t.preventDefault(),void t.stopPropagation();let n=e;t.touches&&2===t.touches.length&&(n=s._pathFromPoint(t.touches[1].clientX,t.touches[1].clientY,{bias:0}));const r=s._pathFromPoint(i,o,{bias:i<=l?i===l?0:-1:1});r&&s.mathlist.setRange(n,r,{extendToWordBoundary:a})&&requestAnimationFrame(s._render.bind(s)),t.preventDefault(),t.stopPropagation()}t.touches&&1===t.touches.length&&(Ti&&Math.abs(Ti.pageX-t.touches[0].pageX)<5&&Math.abs(Ti.pageY-t.touches[0].pageY)<5&&Date.now()<Li+500?Di+=1:(Ti=t.touches[0],Di=1),Li=Date.now()),Ai(this.field,"touchmove",r),Ai(this.field,"touchend touchleave",n),Ai(window,"mousemove",r),Ai(window,"mouseup blur",n);const l=t.touches?t.touches[0].clientX:t.clientX,c=t.touches?t.touches[0].clientY:t.clientY,h=Date.now(),p=this.element.getBoundingClientRect();if(l>=p.left&&l<=p.right&&c>=p.top&&c<=p.bottom){if(this.hasFocus()||(o=!0,this.textarea.focus&&this.textarea.focus()),this._resetKeystrokeBuffer(),this.smartModeSuppressed=!1,t.buttons&&1!==t.buttons)return;(e=this._pathFromPoint(l,c,{bias:0}))&&(t.shiftKey?(this.mathlist.setRange(this.mathlist.path,e),(e=Le.clone(this.mathlist.path))[e.length-1].offset-=1):this.mathlist.setPath(e,0),o=!0,3===t.detail||Di>2?(Ai(this.field,"touchmove",r),Ai(this.field,"touchend",n),Ai(window,"mousemove",r),Ai(window,"mouseup blur",n),i=!1,3!==t.detail&&3!==Di||this.mathlist.selectAll_()):i||(i=!0,Si(window,"blur",n),t.touches?(Si(t.target,"touchmove",r),Si(t.target,"touchend",n)):(Si(window,"mousemove",r),Si(window,"mouseup",n)),2!==t.detail&&2!==Di||(a=!0,this.mathlist.selectGroup_())))}else Ti=null;o&&this._render(),t.preventDefault()},_i.prototype._onSelectionDidChange=function(){this.mathlist.commitCommandStringBeforeInsertionPoint();let t="";this.mathlist.forEachSelected(e=>{t+=e.toLatex()}),t?(this.textarea.value=t,this.hasFocus()&&this.textarea.select&&this.textarea.select()):(this.textarea.value="",this.textarea.setAttribute("aria-label",""));{const t=this.mode;this.mode=this.mathlist.anchorMode()||this.config.defaultMode,this.mode!==t&&"function"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode)}this.style={},ds.updatePopoverPosition(this,{deferred:!0}),"function"==typeof this.config.onSelectionDidChange&&this.config.onSelectionDidChange(this)},_i.prototype._onContentDidChange=function(){this.undoManager.canRedo()?this.element.classList.add("can-redo"):this.element.classList.remove("can-redo"),this.undoManager.canUndo()?this.element.classList.add("can-undo"):this.element.classList.remove("can-undo"),"function"==typeof this.config.onContentDidChange&&this.config.onContentDidChange(this)},_i.prototype._nextAtomSpeechText=function(t){function e(t,e){return"body"===e.relation?{enclose:"cross out",leftright:"fence",surd:"square root",root:"math field"}[t.type]:{numer:"numerator",denom:"denominator",index:"index",body:"parent",subscript:"subscript",superscript:"superscript"}[e.relation]}const s=t?t.path:[],i=this.mathlist.path,a=i[i.length-1];let o="";for(;s.length>i.length;)o+="out of "+e(t.parent(),s[s.length-1])+"; ",s.pop();if(!this.mathlist.isCollapsed())return Fi(this,"",this.mathlist.getSelectedAtoms());const n=e(this.mathlist.parent(),a);0===a.offset&&(o+=(n?"start of "+n:"unknown")+": ");const r=this.mathlist.sibling(Math.max(1,this.mathlist.extent));return r?o+=Fi(this,"",r):0!==a.offset&&(o+=n?"end of "+n:"unknown"),o},_i.prototype._announce=function(t,e,s){"function"==typeof this.config.onAnnounce&&this.config.onAnnounce(this,t,e,s)},_i.prototype._onFocus=function(){this.blurred&&(this.blurred=!1,this.textarea.focus&&this.textarea.focus(),"onfocus"===this.config.virtualKeyboardMode&&this.showVirtualKeyboard_(),ds.updatePopoverPosition(this),this.config.onFocus&&this.config.onFocus(this),this._render())},_i.prototype._onBlur=function(){this.blurred||(this.blurred=!0,this.ariaLiveText.textContent="","onfocus"===this.config.virtualKeyboardMode&&this.hideVirtualKeyboard_(),ds.updatePopoverPosition(this),this._render(),this.config.onBlur&&this.config.onBlur(this))},_i.prototype._onResize=function(){this.element.classList.remove("ML__isNarrowWidth","ML__isWideWidth","ML__isExtendedWidth"),window.innerWidth>=1024?this.element.classList.add("ML__isExtendedWidth"):window.innerWidth>=768?this.element.classList.add("ML__isWideWidth"):this.element.classList.add("ML__isNarrowWidth"),ds.updatePopoverPosition(this)},_i.prototype.toggleKeystrokeCaption_=function(){this.keystrokeCaptionVisible=!this.keystrokeCaptionVisible,this.keystrokeCaption.innerHTML="",this.keystrokeCaptionVisible||(this.keystrokeCaption.style.visibility="hidden")},_i.prototype._showKeystroke=function(t){const e=this.keystrokeCaption;if(e&&this.keystrokeCaptionVisible){const s=this.element.getBoundingClientRect();e.style.left=s.left+"px",e.style.top=s.top-64+"px",e.innerHTML="<span>"+(Pe.stringify(t)||t)+"</span>"+e.innerHTML,e.style.visibility="visible",setTimeout(function(){e.childNodes.length>0&&e.removeChild(e.childNodes[e.childNodes.length-1]),0===e.childNodes.length&&(e.style.visibility="hidden")},3e3)}},_i.prototype.perform=_i.prototype.$perform=function(t){if(!t)return!1;let e,s=!1,i=[],a=!1;return Array.isArray(t)?(e=t[0],i=t.slice(1)):e=t,e=e.replace(/-\w/g,t=>t[1].toUpperCase()),e+="_","function"==typeof this.mathlist[e]?(/^(delete|transpose|add)/.test(e)&&this._resetKeystrokeBuffer(),/^(delete|transpose|add)/.test(e)&&"command"!==this.mode&&(this.undoManager.pop(),this.undoManager.snapshot(this.config)),this.mathlist[e](...i),/^(delete|transpose|add)/.test(e)&&"command"!==this.mode&&this.undoManager.snapshot(this.config),a=!0,s=!0):"function"==typeof this[e]&&(a=this[e](...i),s=!0),this.mathlist.isCollapsed()&&!/^(transpose|paste|complete|((moveToNextChar|moveToPreviousChar|extend).*))_$/.test(e)||this._resetKeystrokeBuffer(),a&&this._render(),s},_i.prototype.performWithFeedback_=function(t){return this.focus(),this.config.keypressVibration&&navigator.vibrate&&navigator.vibrate(3),"moveToNextPlaceholder"===(t=t.replace(/-\w/g,t=>t[1].toUpperCase()))||"moveToPreviousPlaceholder"===t||"complete"===t?this.returnKeypressSound?(this.returnKeypressSound.load(),this.returnKeypressSound.play().catch(t=>void 0)):this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play().catch(t=>void 0)):("deletePreviousChar"===t||"deleteNextChar"===t||"deletePreviousWord"===t||"deleteNextWord"===t||"deleteToGroupStart"===t||"deleteToGroupEnd"===t||"deleteToMathFieldStart"===t||"deleteToMathFieldEnd"===t)&&this.deleteKeypressSound?(this.deleteKeypressSound.load(),this.deleteKeypressSound.play().catch(t=>void 0)):this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play().catch(t=>void 0)),this.perform(t)},_i.prototype.convertLastAtomsToText_=function(t,e){"function"==typeof t&&(e=t,t=1/0),void 0===t&&(t=1/0);let s=0,i=!1;for(this.mathlist.contentWillChange();!i;){const a=this.mathlist.sibling(s);(i=0===t||!a||"math"!==a.mode||!/mord|textord|mpunct/.test(a.type)||a.superscript||a.subscript||e&&!e(a))||(a.applyStyle({mode:"text"}),a.latex=a.body),s-=1,t-=1}this.mathlist.contentDidChange()},_i.prototype.convertLastAtomsToMath_=function(t,e){"function"==typeof t&&(e=t,t=1/0),void 0===t&&(t=1/0),this.mathlist.contentWillChange();let s=0,i=!1;for(;!i;){const a=this.mathlist.sibling(s);(i=0===t||!a||"text"!==a.mode||" "===a.body||e&&!e(a))||a.applyStyle({mode:"math",type:"mord"}),s-=1,t-=1}this.removeIsolatedSpace_(),this.mathlist.contentDidChange()},_i.prototype.removeIsolatedSpace_=function(){let t=0;for(;this.mathlist.sibling(t)&&"math"===this.mathlist.sibling(t).mode;)t-=1;if(this.mathlist.sibling(t)&&"text"===this.mathlist.sibling(t).mode&&" "===this.mathlist.sibling(t).body&&(!this.mathlist.sibling(t-1)||"math"===this.mathlist.sibling(t-1).mode)){this.mathlist.contentWillChange(),this.mathlist.siblings().splice(t-1,1),this.mathlist.contentDidChange();const e=this.mathlist.suppressChangeNotifications;this.mathlist.suppressChangeNotifications=!0,this.mathlist.setSelection(this.mathlist.anchorOffset()-1),this.mathlist.suppressChangeNotifications=e}},_i.prototype.getTextBeforeAnchor_=function(){let t="",e=0,s=!1;for(;!s;){const i=this.mathlist.sibling(e);(s=!(i&&("text"===i.mode&&!i.type||"math"===i.mode&&/mord|textord|mpunct/.test(i.type))))||(t=i.body+t),e-=1}return t},_i.prototype.smartMode_=function(t,e){if(this.smartModeSuppressed)return!1;if(this.mathlist.endOffset()<this.mathlist.siblings().length-1)return!1;if(!e||e.ctrlKey||e.metaKey)return!1;const s=os.eventToChar(e);if(s.length>1)return!1;if(this.mathlist.isCollapsed()){const e=this.getTextBeforeAnchor_()+s;if("text"===this.mode){if("Esc"===t||/[\/^_\\]/.test(s))return!0;const i={")":"(","}":"{","]":"["}[s];if(i&&this.mathlist.parent()&&"leftright"===this.mathlist.parent().type&&this.mathlist.parent().leftDelim===i)return!0;if(/(^|[^a-zA-Z])(a|I)[ ]$/.test(e))return!1;if(/(^|[^a-zA-Z])[a-zA-Z][ ]$/.test(e))return this.convertLastAtomsToMath_(1),!1;if(/\.\S$/.test(e)){const t=this.mathlist.sibling(0);return t.body="⋅",t.fontFamily="cmr",t.latex="\\cdot",t.mode="math",t.type="mord",!0}if(/(^|\s)[a-zA-Z][^a-zA-Z]$/.test(e))return this.convertLastAtomsToMath_(1),this.removeIsolatedSpace_(),!0;if(/\.[0-9]$/.test(e))return this.convertLastAtomsToMath_(1),!0;if(/[(][0-9+\-.]$/.test(e))return this.convertLastAtomsToMath_(1),this.removeIsolatedSpace_(),!0;if(/[(][a-z][,;]$/.test(e))return this.convertLastAtomsToMath_(2),this.removeIsolatedSpace_(),!0;if(/[0-9+\-=><*|]$/.test(s))return this.removeIsolatedSpace_(),!0}else{if("Spacebar"===t)return this.convertLastAtomsToText_(t=>/[a-z][:,;.]$/.test(t.body)),!0;if(/[a-zA-Z]{3,}$/.test(e)&&!/dxd$/.test(e))return this.convertLastAtomsToText_(t=>/[a-zA-Z:,;.]/.test(t.body)),!0;if(/(^|\W)(if|If)$/i.test(e))return this.convertLastAtomsToText_(1),!0;if(/\?|\./.test(s))return!0}}return!1},_i.prototype._onKeystroke=function(t,e){if(this._showKeystroke(t),clearTimeout(this.keystrokeBufferResetTimer),this.config.onKeystroke&&!this.config.onKeystroke(this,t,e))return e&&e.preventDefault&&(e.preventDefault(),e.stopPropagation()),!1;let s,i,a,o=!1;if("command"!==this.mode&&(!e||!e.ctrlKey&&!e.metaKey)){const t=os.eventToChar(e);if("Backspace"!==t)if(!t||t.length>1)this._resetKeystrokeBuffer();else{const e=this.keystrokeBuffer+t;let a=0;for(;!s&&a<e.length;){const t=this.keystrokeBufferStates[a]?Ce.parseTokens(x.tokenize(this.keystrokeBufferStates[a].latex),this.config.default,null,this.config.macros):this.mathlist.siblings();s=Pe.forString(t,e.slice(a),this.config),a+=1}i=a-1,this.keystrokeBuffer+=t,this.keystrokeBufferStates.push(this.undoManager.save()),Pe.startsWithString(e,this.config).length<=1?o=!0:this.config.inlineShortcutTimeout&&(this.keystrokeBufferResetTimer=setTimeout(()=>{this._resetKeystrokeBuffer()},this.config.inlineShortcutTimeout))}}if(this.config.smartMode){const i=this.mode;s?this.mode="math":this.smartMode_(t,e)&&(this.mode={math:"text",text:"math"}[this.mode],a=""),this.mode!==i&&"function"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode)}if(s||a||(a=Pe.selectorForKeystroke(this.mode,t)),!s&&!a)return!0;this.mathlist.decorateCommandStringAroundInsertionPoint(!1);const n=this.mathlist.parent();if("moveAfterParent"===a&&n&&"leftright"===n.type&&this.mathlist.endOffset()===this.mathlist.siblings().length-1&&this.mathlist._insertSmartFence(".")&&(a="",this._render()),"math"===this.mode&&"Spacebar"===t){const t=this.mathlist.sibling(1),e=this.mathlist.sibling(-1);(t&&"text"===t.mode||e&&"text"===e.mode)&&this.mathlist.insert(" ",{mode:"text"})}if((a&&!this.perform(a)||s)&&s){if(!/^(\\{|\\}|\\[|\\]|\\@|\\#|\\$|\\%|\\^|\\_|\\backslash)$/.test(s)){const t={...this.mathlist.anchorStyle(),...this.style};this.mathlist.insert(os.eventToChar(e),{suppressChangeNotifications:!0,mode:this.mode,style:t});const s=this.mode;this.undoManager.snapshotAndCoalesce(this.config),this.undoManager.restore(this.keystrokeBufferStates[i],{...this.config,suppressChangeNotifications:!0}),this.mode=s}this.mathlist.contentWillChange();const t=this.mathlist.suppressChangeNotifications;this.mathlist.suppressChangeNotifications=!0;const a={...this.mathlist.anchorStyle(),...this.style};this.mathlist._insertSmartFence(s,a)||this.mathlist.insert(s,{format:"latex",mode:this.mode,style:a}),this.removeIsolatedSpace_(),this.mathlist.suppressChangeNotifications=t,this.mathlist.contentDidChange(),this.undoManager.snapshot(this.config),this._render(),this._announce("replacement"),o&&this._resetKeystrokeBuffer()}return e&&e.preventDefault&&(e.preventDefault(),e.stopPropagation()),!1},_i.prototype._onTypedText=function(t,e){if((e=e||{}).focus&&this.focus(),e.feedback&&(this.config.keypressVibration&&navigator.vibrate&&navigator.vibrate(3),this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play().catch(t=>void 0))),e.commandMode&&"command"!==this.mode&&this.switchMode_("command"),this.mathlist.decorateCommandStringAroundInsertionPoint(!1),e.simulateKeystroke){const e=t.charAt(0),s=os.charToEvent(e);if(!this.$keystroke(os.keyboardEventToString(s),s))return}let s="",i=!1;if(this.pasteInProgress)this.pasteInProgress=!1,this.mathlist.insert(t,{smartFence:this.config.smartFence,mode:"math"});else{const e={...this.mathlist.anchorStyle(),...this.style},a=y.splitGraphemes(t);for(const t of a)if("command"===this.mode){this.mathlist.removeSuggestion(),this.suggestionIndex=0;const e=this.mathlist.extractCommandStringAroundInsertionPoint(),a=Nt.suggest(e+t);i=a.length>1,0===a.length?(this.mathlist.insert(t,{mode:"command"}),/^\\[a-zA-Z\\*]+$/.test(e+t)&&this.mathlist.decorateCommandStringAroundInsertionPoint(!0),ds.hidePopover(this)):(this.mathlist.insert(t,{mode:"command"}),a[0].match!==e+t&&this.mathlist.insertSuggestion(a[0].match,-a[0].match.length+e.length+1),s=a[0].match)}else if("math"===this.mode){const s={"^":"moveToSuperscript",_:"moveToSubscript"," ":"moveAfterParent"}[t];if(s){if("moveToSuperscript"===s){if(this._superscriptDepth()>=this.config.scriptDepth[1])return void this._announce("plonk")}else if("moveToSubscript"===s&&this._subscriptDepth()>=this.config.scriptDepth[0])return void this._announce("plonk");this.perform(s)}else this.config.smartSuperscript&&"superscript"===this.mathlist.relation()&&/[0-9]/.test(t)&&0===this.mathlist.siblings().filter(t=>"first"!==t.type).length?(this.mathlist.insert(t,{mode:"math",style:e}),this.mathlist.moveAfterParent_()):this.mathlist._insertSmartFence(t,e)||this.mathlist.insert(t,{mode:"math",style:e})}else"text"===this.mode&&this.mathlist.insert(t,{mode:"text",style:e})}"command"!==this.mode&&this.undoManager.snapshotAndCoalesce(this.config),this._render(),ds.showPopoverWithLatex(this,s,i)},_i.prototype._hash=function(){let t=0;const e=this.mathlist.root.toLatex(!1);for(let s=0;s<e.length;s++)t=31*t+e.charCodeAt(s),t|=0;return Math.abs(t)},_i.prototype._render=function(t){t=t||{},window.mathlive||(window.mathlive={}),this.mathlist.anchor()||(this.mathlist.path=[{relation:"body",offset:0}]),this.mathlist.forEach(t=>{t.caret="",t.isSelected=!1});const e=this.hasFocus();this.mathlist.isCollapsed()?this.mathlist.anchor().caret=e?this.mode:"":this.mathlist.forEachSelected(t=>{t.isSelected=!0});const s=ge.decompose({mathstyle:"displaystyle",generateID:{seed:this._hash(),groupNumbers:t.forHighlighting},macros:this.config.macros},this.mathlist.root),i=ot.makeSpan(s,"ML__base");i.attributes={translate:"no","aria-hidden":"true"};const a=ot.makeSpan("","ML__strut");a.setStyle("height",i.height,"em");const o=[a];if(0!==i.depth){const t=ot.makeSpan("","ML__strut--bottom");t.setStyle("height",i.height+i.depth,"em"),t.setStyle("vertical-align",-i.depth,"em"),o.push(t)}o.push(i);const n=ot.makeSpan(o,"ML__mathlive");this.field.innerHTML=n.toMarkup(0,this.config.horizontalSpacingScale),this.field.classList.toggle("ML__focused",e),this.accessibleNode.innerHTML="<math xmlns='http://www.w3.org/1998/Math/MathML'>"+ge.toMathML(this.mathlist.root,this.config)+"</math>";const r=this.field.querySelectorAll(".ML__selected");if(r&&r.length>0){const t={top:1/0,bottom:-1/0,left:1/0,right:-1/0};r.forEach(e=>{if(e.classList.contains("ML__selected")){const s=e.getBoundingClientRect();s.left<t.left&&(t.left=s.left),s.right>t.right&&(t.right=s.right),s.bottom>t.bottom&&(t.bottom=s.bottom),s.top<t.top&&(t.top=s.top)}});const e=this.field.getBoundingClientRect(),s=document.createElement("div");s.classList.add("ML__selection"),s.style.position="absolute",s.style.left=t.left-e.left+"px",s.style.top=t.top-e.top+"px",s.style.width=t.right-t.left+"px",s.style.height=t.bottom-t.top+"px",this.field.insertBefore(s,this.field.childNodes[0])}this.scrollIntoView_()},_i.prototype._onPaste=function(){return this.pasteInProgress=!0,!0},_i.prototype._onCut=function(){return setTimeout(function(){this.clearSelection(),this._render()}.bind(this),0),!0},_i.prototype._onCopy=function(t){this.mathlist.isCollapsed()?(t.clipboardData.setData("text/plain",this.$text("latex-expanded")),t.clipboardData.setData("application/json",this.$text("json")),t.clipboardData.setData("application/xml",this.$text("mathML"))):(t.clipboardData.setData("text/plain",this.$selectedText("latex-expanded")),t.clipboardData.setData("application/json",this.$selectedText("json")),t.clipboardData.setData("application/xml",this.$selectedText("mathML"))),t.preventDefault()},_i.prototype.formatMathlist=function(t,e){let s="";if("latex"===(e=e||"latex")||"latex-expanded"===e)s=t.toLatex("latex-expanded"===e);else if("mathML"===e)s=t.toMathML(this.config);else if("spoken"===e)s=ge.toSpeakableText(t,this.config);else if("spoken-text"===e){const e=this.config.textToSpeechMarkup;this.config.textToSpeechMarkup="",s=ge.toSpeakableText(t,this.config),this.config.textToSpeechMarkup=e}else if("spoken-ssml"===e){const e=this.config.textToSpeechMarkup;this.config.textToSpeechMarkup="ssml",s=ge.toSpeakableText(t,this.config),this.config.textToSpeechMarkup=e}else if("json"===e){const e=ge.toAST(t,this.config);s=JSON.stringify(e)}else"ASCIIMath"===e&&(s=function t(e,s){if(!e)return"";if(Array.isArray(e)){let i="";if(0===e.length)return"";if("first"===e[0].type&&e.shift(),"text"===e[0].mode){let a=0;for(i='"';e[a]&&"text"===e[a].mode;)i+=e[a].body,a++;i+='"'+t(e.slice(a),s)}else{let a=0;for(;e[a]&&"math"===e[a].mode;)i+=t(e[a],s),a++;i+=t(e.slice(a),s)}return i.trim()}let i="";const a=e.latex?e.latex.trim():null;let o;switch(e.type){case"group":case"root":i=t(e.body,s);break;case"array":break;case"genfrac":(e.leftDelim||e.rightDelim)&&(i+="."!==e.leftDelim&&e.leftDelim?e.leftDelim:"{:"),e.hasBarLine?(i+="(",i+=t(e.numer,s),i+=")/(",i+=t(e.denom,s),i+=")"):(i+="("+t(e.numer,s)+"),",i+="("+t(e.denom,s)+")"),(e.leftDelim||e.rightDelim)&&(i+="."!==e.rightDelim&&e.rightDelim?e.rightDelim:"{:");break;case"surd":e.index?i+="root("+t(e.index,s)+")("+t(e.body,s)+")":i+="sqrt("+t(e.body,s)+")";break;case"leftright":i+="."!==e.leftDelim&&e.leftDelim?e.leftDelim:"{:",i+=t(e.body,s),i+="."!==e.rightDelim&&e.rightDelim?e.rightDelim:"{:";break;case"sizeddelim":case"delim":case"accent":break;case"line":case"overlap":case"overunder":break;case"mord":"\\"===(i=Ms[a]||a||("string"==typeof e.body?e.body:""))[0]&&(i+=""),(o=a?a.match(/[{]?\\char"([0-9abcdefABCDEF]*)[}]?/):null)?i=String.fromCharCode(parseInt("0x"+o[1])):i.length>0&&"\\"===i.charAt(0)&&(i="string"==typeof e.body?e.body.charAt(0):e.latex);break;case"mbin":case"mrel":case"textord":case"minner":i=a&&Ms[a]?Ms[a]:a&&Cs[a]?Cs[a]:e.body;break;case"mopen":case"mclose":i+=e.body;break;case"mpunct":i=Cs[a]||a;break;case"mop":"​"!==e.body&&(i="",i+="\\operatorname"===a?e.body:e.body||a,i+=" ");break;case"mathstyle":case"box":case"spacing":case"enclose":case"sizing":break;case"space":i=" "}if(e.subscript){i+="_";const a=t(e.subscript,s);a.length>1&&!/^(-)?\d+(\.\d*)?$/.test(a)?i+="("+a+")":i+=a}if(e.superscript){i+="^";const a=t(e.superscript,s);a.length>1&&!/^(-)?\d+(\.\d*)?$/.test(a)?i+="("+a+")":i+=a}return i}(t,this.config));return s},_i.prototype.text=_i.prototype.$text=function(t){return this.formatMathlist(this.mathlist.root,t)},_i.prototype.selectedText=_i.prototype.$selectedText=function(t){const e=this.mathlist.getSelectedAtoms();if(!e)return"";const s=ge.makeRoot(e[0].mode,e);return this.formatMathlist(s,t)},_i.prototype.selectionIsCollapsed=_i.prototype.$selectionIsCollapsed=function(){return this.mathlist.isCollapsed()},_i.prototype.selectionDepth=_i.prototype.$selectionDepth=function(){return this.mathlist.path.length},_i.prototype._superscriptDepth=function(){let t=0,e=0,s=this.mathlist.ancestor(e),i=!1;for(;s;)(s.superscript||s.subscript)&&(t+=1),s.superscript?i=!0:s.subscript&&(i=!1),e+=1,s=this.mathlist.ancestor(e);return i?t:0},_i.prototype._subscriptDepth=function(){let t=0,e=0,s=this.mathlist.ancestor(e),i=!1;for(;s;)(s.superscript||s.subscript)&&(t+=1),s.superscript?i=!1:s.subscript&&(i=!0),e+=1,s=this.mathlist.ancestor(e);return i?t:0},_i.prototype.selectionAtStart=_i.prototype.$selectionAtStart=function(){return 0===this.mathlist.startOffset()},_i.prototype.selectionAtEnd=_i.prototype.$selectionAtEnd=function(){return this.mathlist.endOffset()>=this.mathlist.siblings().length-1},_i.prototype.groupIsSelected=function(){return 0===this.mathlist.startOffset()&&this.mathlist.endOffset()>=this.mathlist.siblings().length-1},_i.prototype.latex=_i.prototype.$latex=function(t,e){if(t){return t!==this.mathlist.root.toLatex()&&(e=e||{},this.mathlist.insert(t,Object.assign({},this.config,{insertionMode:"replaceAll",selectionMode:"after",format:"latex",mode:"math",suppressChangeNotifications:e.suppressChangeNotifications})),this.undoManager.snapshot(this.config),this._render()),t}return this.mathlist.root.toLatex()},_i.prototype.el=_i.prototype.$el=function(){return this.element},_i.prototype.undo_=_i.prototype.undo=function(){return this.complete_(),this.undoManager.undo(this.config),!0},_i.prototype.redo_=_i.prototype.redo=function(){return this.complete_(),this.undoManager.redo(this.config),!0},_i.prototype.scrollIntoView_=_i.prototype.scrollIntoView=function(){return!1},_i.prototype.scrollToStart_=_i.prototype.scrollToStart=function(){return!0},_i.prototype.scrollToEnd_=_i.prototype.scrollToEnd=function(){return!0},_i.prototype.enterCommandMode_=function(){this.switchMode_("command")},_i.prototype.copyToClipboard_=function(){return this.focus(),this.mathlist.isCollapsed()&&this.select(),document.execCommand("copy"),!1},_i.prototype.cutToClipboard_=function(){return this.focus(),document.execCommand("cut"),!0},_i.prototype.pasteFromClipboard_=function(){return this.focus(),document.execCommand("paste"),!0},_i.prototype.insert_=_i.prototype.insert=_i.prototype.$insert=function(t,e){if("string"==typeof t&&t.length>0){if((e=e||{}).focus&&this.focus(),e.feedback&&(this.config.keypressVibration&&navigator.vibrate&&navigator.vibrate(3),this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play())),"\\\\"===t)this.mathlist.addRowAfter_();else if("&"===t)this.mathlist.addColumnAfter_();else{const s=this.style;this.style.fontFamily||(this.style.fontFamily="math"),this.mathlist.insert(t,{mode:this.mode,style:this.mathlist.anchorStyle(),...e}),e.resetStyle&&(this.style=s)}return this.undoManager.snapshot(this.config),!0}return!1},_i.prototype.switchMode_=function(t,e,s){this._resetKeystrokeBuffer(),this.smartModeSuppressed=!0,e&&this.insert(e,{format:"latex",mode:{math:"text",text:"math"}[t]}),this.mathlist.decorateCommandStringAroundInsertionPoint(!1),"command"===t?(this.mathlist.removeSuggestion(),ds.hidePopover(this),this.suggestionIndex=0,this.virtualKeyboardVisible&&this.switchKeyboardLayer_("lower-command"),this.mathlist.insert("",{mode:"math"})):this.mode=t,s&&this.insert(s,{format:"latex",mode:t}),"function"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode),this._render()},_i.prototype.complete_=function(t){if(t=t||{},ds.hidePopover(this),t.discard)return this.mathlist.spliceCommandStringAroundInsertionPoint(null),this.switchMode_("math"),!0;const e=this.mathlist.extractCommandStringAroundInsertionPoint(!t.acceptSuggestion);if(e){if("\\("===e||"\\)"===e)this.mathlist.spliceCommandStringAroundInsertionPoint([]),this.mathlist.insert(e.slice(1),{mode:this.mode});else{const t="math";if(Nt.commandAllowed(t,e)){const s=Ce.parseTokens(x.tokenize(e),t,null,this.config.macros);this.mathlist.spliceCommandStringAroundInsertionPoint(s)}else{const s=Ce.parseTokens(x.tokenize(e),t,null,this.config.macros);s?this.mathlist.spliceCommandStringAroundInsertionPoint(s):this.mathlist.decorateCommandStringAroundInsertionPoint(!0)}}return this.undoManager.snapshot(this.config),this._announce("replacement"),!0}return!1},_i.prototype._updateSuggestion=function(){this.mathlist.positionInsertionPointAfterCommitedCommand(),this.mathlist.removeSuggestion();const t=this.mathlist.extractCommandStringAroundInsertionPoint(),e=Nt.suggest(t);if(0===e.length)ds.hidePopover(this),this.mathlist.decorateCommandStringAroundInsertionPoint(!0);else{const s=this.suggestionIndex%e.length,i=t.length-e[s].match.length;0!==i&&this.mathlist.insertSuggestion(e[s].match,i),ds.showPopoverWithLatex(this,e[s].match,e.length>1)}this._render()},_i.prototype.nextSuggestion_=function(){return this.suggestionIndex+=1,this._updateSuggestion(),!1},_i.prototype.previousSuggestion_=function(){if(this.suggestionIndex-=1,this.suggestionIndex<0){this.mathlist.removeSuggestion();const t=this.mathlist.extractCommandStringAroundInsertionPoint(),e=Nt.suggest(t);this.suggestionIndex=e.length-1}return this._updateSuggestion(),!1},_i.prototype._attachButtonHandlers=function(t,e){const s=this;let i,a,o,n,r;"object"==typeof e&&(e.default||e.pressed)?(e.default&&t.setAttribute("data-"+this.config.namespace+"command",JSON.stringify(e.default)),e.alt&&t.setAttribute("data-"+this.config.namespace+"command-alt",JSON.stringify(e.alt)),e.altshift&&t.setAttribute("data-"+this.config.namespace+"command-altshift",JSON.stringify(e.altshift)),e.shift&&t.setAttribute("data-"+this.config.namespace+"command-shift",JSON.stringify(e.shift)),e.pressed&&t.setAttribute("data-"+this.config.namespace+"command-pressed",JSON.stringify(e.pressed)),e.pressAndHoldStart&&t.setAttribute("data-"+this.config.namespace+"command-pressAndHoldStart",JSON.stringify(e.pressAndHoldStart)),e.pressAndHoldEnd&&t.setAttribute("data-"+this.config.namespace+"command-pressAndHoldEnd",JSON.stringify(e.pressAndHoldEnd))):t.setAttribute("data-"+this.config.namespace+"command",JSON.stringify(e)),Si(t,"mousedown touchstart:passive",function(e){if("mousedown"!==e.type||1===e.buttons){e.stopPropagation(),t.classList.add("pressed"),i=Date.now(),"touchstart"===e.type&&(o=e.changedTouches[0].identifier);const n=t.getAttribute("data-"+s.config.namespace+"command-pressed");n&&s.perform(JSON.parse(n));const l=t.getAttribute("data-"+s.config.namespace+"command-pressAndHoldStart");l&&(a=t,r&&clearTimeout(r),r=window.setTimeout(function(){t.classList.contains("pressed")&&s.perform(JSON.parse(l))},300))}}),Si(t,"mouseleave touchcancel",function(){t.classList.remove("pressed")}),Si(t,"touchmove:passive",function(t){t.preventDefault();for(let e=0;e<t.changedTouches.length;e++)if(t.changedTouches[e].identifier===o){const s=document.elementFromPoint(t.changedTouches[e].clientX,t.changedTouches[e].clientY);s!==n&&n&&(n.dispatchEvent(new MouseEvent("mouseleave"),{bubbles:!0}),n=null),s&&(n=s,s.dispatchEvent(new MouseEvent("mouseenter",{bubbles:!0,buttons:1})))}}),Si(t,"mouseenter",function(e){1===e.buttons&&t.classList.add("pressed")}),Si(t,"mouseup touchend click",function(e){if(n){e.stopPropagation(),e.preventDefault();const t=n;return n=null,void t.dispatchEvent(new MouseEvent("mouseup",{bubbles:!0}))}if(t.classList.remove("pressed"),t.classList.add("active"),"click"===e.type&&0!==e.detail)return e.stopPropagation(),void e.preventDefault();window.setTimeout(function(){t.classList.remove("active")},150);let o=t.getAttribute("data-"+s.config.namespace+"command-pressAndHoldEnd");const r=Date.now();(t!==a||r<i+300)&&(o=void 0),!o&&e.altKey&&e.shiftKey&&(o=t.getAttribute("data-"+s.config.namespace+"command-altshift")),!o&&e.altKey&&(o=t.getAttribute("data-"+s.config.namespace+"command-alt")),!o&&e.shiftKey&&(o=t.getAttribute("data-"+s.config.namespace+"command-shift")),o||(o=t.getAttribute("data-"+s.config.namespace+"command")),o&&s.perform(JSON.parse(o)),e.stopPropagation(),e.preventDefault()})},_i.prototype._makeButton=function(t,e,s,i){const a=document.createElement("span");return a.innerHTML=t,e&&a.classList.add([].slice.call(e.split(" "))),s&&a.setAttribute("aria-label",s),this._attachButtonHandlers(a,i),a},_i.prototype.showAlternateKeys_=function(t,e){const s=Mi("mathlive-alternate-keys-panel","ML__keyboard alternate-keys");this.virtualKeyboard.classList.contains("material")&&s.classList.add("material"),e.length>=7?s.style.width="286px":4===e.length||2===e.length?s.style.width="146px":1===e.length?s.style.width="86px":s.style.width="146px",s.style.height="auto";let i="";for(const t of e)i+="<li","string"==typeof t?i+=' data-latex="'+t.replace(/"/g,"&quot;")+'"':(t.latex&&(i+=' data-latex="'+t.latex.replace(/"/g,"&quot;")+'"'),t.content&&(i+=' data-content="'+t.content.replace(/"/g,"&quot;")+'"'),t.insert&&(i+=' data-insert="'+t.insert.replace(/"/g,"&quot;")+'"'),t.command&&(i+=" data-command='"+t.command.replace(/"/g,"&quot;")+"'"),t.aside&&(i+=' data-aside="'+t.aside.replace(/"/g,"&quot;")+'"'),t.classes&&(i+=' data-classes="'+t.classes+'"')),i+=">",i+=t.label||"",i+="</li>";i="<ul>"+i+"</ul>",s.innerHTML=i,As.makeKeycap(this,s.getElementsByTagName("li"),"performAlternateKeys");const a=this.virtualKeyboard.querySelector('div.keyboard-layer.is-visible div.rows ul li[data-alt-keys="'+t+'"]').getBoundingClientRect();if(a){a.top-s.clientHeight<0&&(s.style.width="auto",e.length<=6?s.style.height="56px":e.length<=12?s.style.height="108px":s.style.height="205px");const t=(a.top-s.clientHeight+5).toString()+"px",i=Math.max(0,Math.min(window.innerWidth-s.offsetWidth,(a.left+a.right-s.offsetWidth)/2))+"px";s.style.transform="translate("+i+","+t+")",s.classList.add("is-visible")}return!1},_i.prototype.hideAlternateKeys_=function(){const t=document.getElementById("mathlive-alternate-keys-panel");return t&&(t.classList.remove("is-visible"),t.innerHTML="",Ci(t)),!1},_i.prototype.performAlternateKeys_=function(t){return this.hideAlternateKeys_(),this.perform(t)},_i.prototype.switchKeyboardLayer_=function(t){if("off"!==this.config.virtualKeyboardMode){"lower-command"!==t&&"upper-command"!==t&&"symbols-command"!==t&&this.complete_(),this.showVirtualKeyboard_(),this.hideAlternateKeys_(),this.unshiftKeyboardLayer_();const e=this.virtualKeyboard.getElementsByClassName("keyboard-layer");let s=!1;for(let i=0;i<e.length;i++)if(e[i].id===t){s=!0;break}if(s)for(let s=0;s<e.length;s++)e[s].id===t?e[s].classList.add("is-visible"):e[s].classList.remove("is-visible");this.focus()}return!0},_i.prototype.shiftKeyboardLayer_=function(){const t=this.virtualKeyboard.querySelectorAll("div.keyboard-layer.is-visible .rows .keycap, div.keyboard-layer.is-visible .rows .action");if(t)for(let e=0;e<t.length;e++){const s=t[e];let i=s.getAttribute("data-shifted");if(i||/^[a-z]$/.test(s.innerHTML)){s.setAttribute("data-unshifted-content",s.innerHTML),i||(i=s.innerHTML.toUpperCase()),s.innerHTML=i;const t=s.getAttribute("data-"+this.config.namespace+"command");if(t){s.setAttribute("data-unshifted-command",t);const e=s.getAttribute("data-shifted-command");if(e)s.setAttribute("data-"+this.config.namespace+"command",e);else{const e=JSON.parse(t);Array.isArray(e)&&(e[1]=e[1].toUpperCase()),s.setAttribute("data-"+this.config.namespace+"command",JSON.stringify(e))}}}}return!1},_i.prototype.unshiftKeyboardLayer_=function(){const t=this.virtualKeyboard.querySelectorAll("div.keyboard-layer.is-visible .rows .keycap, div.keyboard-layer.is-visible .rows .action");if(t)for(let e=0;e<t.length;e++){const s=t[e],i=s.getAttribute("data-unshifted-content");i&&(s.innerHTML=i);const a=s.getAttribute("data-unshifted-command");a&&s.setAttribute("data-"+this.config.namespace+"command",a)}return!1},_i.prototype.insertAndUnshiftKeyboardLayer_=function(t){return this.insert_(t),this.unshiftKeyboardLayer_(),!0},_i.prototype.toggleVirtualKeyboardAlt_=function(){let t=!1;return this.virtualKeyboard&&(t=this.virtualKeyboard.classList.contains("material"),this.virtualKeyboard.remove(),delete this.virtualKeyboard,this.virtualKeyboard=null),this.showVirtualKeyboard_(t?"":"material"),!1},_i.prototype.toggleVirtualKeyboardShift_=function(){this.config.virtualKeyboardLayout={qwerty:"azerty",azerty:"qwertz",qwertz:"dvorak",dvorak:"colemak",colemak:"qwerty"}[this.config.virtualKeyboardLayout];let t=this.virtualKeyboard?this.virtualKeyboard.querySelector("div.keyboard-layer.is-visible"):null;return t=t?t.id:"",this.virtualKeyboard&&(this.virtualKeyboard.remove(),delete this.virtualKeyboard,this.virtualKeyboard=null),this.showVirtualKeyboard_(),t&&this.switchKeyboardLayer_(t),!1},_i.prototype.showVirtualKeyboard_=function(t){return this.virtualKeyboardVisible=!1,this.toggleVirtualKeyboard_(t),!1},_i.prototype.hideVirtualKeyboard_=function(){return this.virtualKeyboardVisible=!0,this.toggleVirtualKeyboard_(),!1},_i.prototype.toggleVirtualKeyboard_=function(t){if(this.virtualKeyboardVisible=!this.virtualKeyboardVisible,this.virtualKeyboardVisible){this.virtualKeyboard?this.virtualKeyboard.classList.add("is-visible"):(this.virtualKeyboard=As.make(this,t),Si(this.virtualKeyboard,"touchstart:passive mousedown",function(){e.focus()}),document.body.appendChild(this.virtualKeyboard));const e=this;window.setTimeout(function(){e.virtualKeyboard.classList.add("is-visible")},1)}else this.virtualKeyboard&&this.virtualKeyboard.classList.remove("is-visible");return"function"==typeof this.config.onVirtualKeyboardToggle&&this.config.onVirtualKeyboardToggle(this,this.virtualKeyboardVisible,this.virtualKeyboard),!1},_i.prototype.$applyStyle=_i.prototype.applyStyle_=function(t){if(this._resetKeystrokeBuffer(),t.mode)if(this.mathlist.isCollapsed())this.switchMode_("math"===this.mode?"text":"math");else{const t=this.mode,e="math"===(this.mathlist.anchorMode()||this.config.default)?"text":"math";let s=this.$selectedText("ASCIIMath");if("math"===e&&/^"[^"]+"$/.test(s)&&(s=s.slice(1,-1)),this.insert(s,{mode:e,selectionMode:"item",format:"text"===e?"text":"ASCIIMath"}),this.mode=e,this.groupIsSelected()){const t=this.mathlist.parent();!t||"group"!==t.type&&"root"!==t.type||(t.mode=e)}this.mode!==t&&"function"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode)}else this.mathlist.isCollapsed()?this.style=t:(this.mathlist._applyStyle(t),this.undoManager.snapshot(this.config));return!0},_i.prototype.hasFocus=_i.prototype.$hasFocus=function(){return document.hasFocus()&&document.activeElement===this.textarea},_i.prototype.focus=_i.prototype.$focus=function(){this.hasFocus()||(this.textarea.focus&&this.textarea.focus(),this._announce("line"))},_i.prototype.blur=_i.prototype.$blur=function(){this.hasFocus()&&this.textarea.blur&&this.textarea.blur()},_i.prototype.select=_i.prototype.$select=function(){this.mathlist.selectAll_()},_i.prototype.clearSelection=_i.prototype.$clearSelection=function(){this.mathlist.delete_()},_i.prototype.keystroke=_i.prototype.$keystroke=function(t,e){return this._onKeystroke(t,e)},_i.prototype.typedText=_i.prototype.$typedText=function(t){this._onTypedText(t)},_i.prototype.typedText_=function(t,e){return this._onTypedText(t,e)},_i.prototype.setConfig=_i.prototype.$setConfig=function(t){if(this.config||(this.config={smartFence:!0,smartSuperscript:!0,scriptDepth:[1/0,1/0],removeExtraneousParentheses:!0,overrideDefaultInlineShortcuts:!1,virtualKeyboard:"",virtualKeyboardLayout:"qwerty",namespace:""}),this.config={...this.config,...t},!Array.isArray(this.config.scriptDepth)){const t=parseInt(this.config.scriptDepth);this.config.scriptDepth=[t,t]}if(void 0===this.config.removeExtraneousParentheses&&(this.config.removeExtraneousParentheses=!0),this.config.onAnnounce=t.onAnnounce||Ei,this.config.macros=Object.assign({},Nt.MACROS,this.config.macros),!/^[a-z]*[-]?$/.test(this.config.namespace))throw Error("options.namespace must be a string of lowercase characters only");/-$/.test(this.config.namespace)||(this.config.namespace+="-"),us.locale=this.config.locale||us.locale,us.merge(this.config.strings),this.keypressSound=void 0,this.spacebarKeypressSound=void 0,this.returnKeypressSound=void 0,this.deleteKeypressSound=void 0,this.config.keypressSound&&("string"==typeof this.config.keypressSound?(this.keypressSound=new Audio,this.keypressSound.preload="none",this.keypressSound.src=this.config.keypressSound,this.keypressSound.volume=.5,this.spacebarKeypressSound=this.keypressSound,this.returnKeypressSound=this.keypressSound,this.deleteKeypressSound=this.keypressSound):(this.keypressSound=new Audio,this.keypressSound.preload="none",this.keypressSound.src=this.config.keypressSound.default,this.keypressSound.volume=.5,this.spacebarKeypressSound=this.keypressSound,this.returnKeypressSound=this.keypressSound,this.deleteKeypressSound=this.keypressSound,this.config.keypressSound.spacebar&&(this.spacebarKeypressSound=new Audio,this.spacebarKeypressSound.preload="none",this.spacebarKeypressSound.src=this.config.keypressSound.spacebar,this.spacebarKeypressSound.volume=.5),this.config.keypressSound.return&&(this.returnKeypressSound=new Audio,this.returnKeypressSound.preload="none",this.returnKeypressSound.src=this.config.keypressSound.return,this.returnKeypressSound.volume=.5),this.config.keypressSound.delete&&(this.deleteKeypressSound=new Audio,this.deleteKeypressSound.preload="none",this.deleteKeypressSound.src=this.config.keypressSound.delete,this.deleteKeypressSound.volume=.5))),this.config.plonkSound&&(this.plonkSound=new Audio,this.plonkSound.preload="none",this.plonkSound.src=this.config.plonkSound,this.plonkSound.volume=.5)},_i.prototype._speakWithSynchronizedHighlighting=function(t){this.config.handleReadAloud&&this.config.handleReadAloud(this.field,t,this.config)},_i.prototype._speak=function(t){this.config.handleSpeak&&this.config.handleSpeak(t,this.config)},_i.prototype.speakSelection_=function(){let t="Nothing selected.";return this.mathlist.isCollapsed()||(t=ge.toSpeakableText(this.mathlist.getSelectedAtoms(),this.config)),this._speak(t),!1},_i.prototype.speakSelectionWithSynchronizedHighlighting_=function(){if(this.mathlist.isCollapsed())this._speak("Nothing selected.");else{window.mathlive.readAloudMathField=this,this._render({forHighlighting:!0});const t=this.config;t.textToSpeechMarkup=window.sre&&"sre"===t.textToSpeechRules?"ssml_step":"ssml";const e=ge.toSpeakableText(this.mathlist.getSelectedAtoms(),t);this._speakWithSynchronizedHighlighting(e)}return!1},_i.prototype.speakParent_=function(){let t="No parent.";const e=this.mathlist.parent();return e&&"root"!==e.type&&(t=ge.toSpeakableText(this.mathlist.parent(),this.config)),this._speak(t),!1},_i.prototype.speakRightSibling_=function(){let t="At the end.";const e=this.mathlist.siblings(),s=this.mathlist.startOffset()+1;if(s<e.length-1){const i=[];for(let t=s;t<=e.length-1;t++)i.push(e[t]);t=ge.toSpeakableText(i,this.config)}return this._speak(t),!1},_i.prototype.speakLeftSibling_=function(){let t="At the beginning.";const e=this.mathlist.siblings(),s=this.mathlist.isCollapsed()?this.mathlist.startOffset():this.mathlist.startOffset()-1;if(s>=1){const i=[];for(let t=1;t<=s;t++)i.push(e[t]);t=ge.toSpeakableText(i,this.config)}return this._speak(t),!1},_i.prototype.speakGroup_=function(){return this._speak(ge.toSpeakableText(this.mathlist.siblings(),this.config)),!1},_i.prototype.speakAll_=function(){return this._speak(ge.toSpeakableText(this.mathlist.root,this.config)),!1},_i.prototype.speakAllWithSynchronizedHighlighting_=function(){window.mathlive.readAloudMathField=this,this._render({forHighlighting:!0});const t=this.config;t.textToSpeechMarkup=window.sre&&"sre"===t.textToSpeechRules?"ssml_step":"ssml";const e=ge.toSpeakableText(this.mathlist.root,t);return this._speakWithSynchronizedHighlighting(e),!1};var zi={MathField:_i};function qi(t,e,s){let i=s,a=0;const o=t.length;for(;i<e.length;){const s=e[i];if(a<=0&&e.slice(i,i+o)===t)return i;"\\"===s?i++:"{"===s?a++:"}"===s&&a--,i++}return-1}function Ii(t,e,s,i){const a=[];for(let o=0;o<t.length;o++)if("text"===t[o].type){const n=t[o].data;let r,l=!0,c=0;-1!==(r=n.indexOf(e))&&((c=r)>0&&a.push({type:"text",data:n.slice(0,c)}),l=!1);let h=!1;for(;!h;){if(l){if(-1===(r=n.indexOf(e,c))){h=!0;break}c!==r&&a.push({type:"text",data:n.slice(c,r)}),c=r}else{if(-1===(r=qi(s,n,c+e.length))){h=!0;break}a.push({type:"math",data:n.slice(c+e.length,r),rawData:n.slice(c,r+s.length),mathstyle:i}),c=r+s.length}l=!l}c<n.length&&a.push({type:"text",data:n.slice(c)})}else a.push(t[o]);return a}function Bi(t,e){let s=[{type:"text",data:t}];for(let t=0;t<e.inline.length;t++){const i=e.inline[t];s=Ii(s,i[0],i[1],"textstyle")}for(let t=0;t<e.display.length;t++){const i=e.display[t];s=Ii(s,i[0],i[1],"displaystyle")}return s}function Pi(t,e,s,i){const a=function(t,e,s,i){let a=document.createElement("span");a.setAttribute("aria-hidden","true"),e.preserveOriginalContent&&(a.setAttribute("data-"+e.namespace+"original-content",t),s&&a.setAttribute("data-"+e.namespace+"original-mathstyle",s));try{a.innerHTML=e.renderToMarkup(t,s||"displaystyle","html",e.macros)}catch(e){if(!i)return null;a=document.createTextNode(t)}return a}(t,s,e,i);if(a&&/\b(mathml|speakable-text)\b/i.test(s.renderAccessibleContent)){const e=document.createDocumentFragment();if(/\bmathml\b/i.test(s.renderAccessibleContent)&&s.renderToMathML&&e.appendChild(function(t,e){const s=document.createElement("span");try{s.innerHTML="<math xmlns='http://www.w3.org/1998/Math/MathML'>"+e.renderToMathML(t,e)+"</math>"}catch(e){s.textContent=t}return s.className="sr-only",s}(t,s)),/\bspeakable-text\b/i.test(s.renderAccessibleContent)&&s.renderToSpeakableText){const i=document.createElement("span");i.innerHTML=s.renderToSpeakableText(t,s),i.className="sr-only",e.appendChild(i)}return e.appendChild(a),e}return a}function Ri(t,e){let s=null;if(e.TeX.processEnvironments&&/^\s*\\begin/.test(t))(s=document.createDocumentFragment()).appendChild(Pi(t,void 0,e,!0));else{const i=Bi(t,e.TeX.delimiters);if(1===i.length&&"text"===i[0].type)return null;s=document.createDocumentFragment();for(let t=0;t<i.length;t++)"text"===i[t].type?s.appendChild(document.createTextNode(i[t].data)):s.appendChild(Pi(i[t].data,i[t].mathstyle,e,!0))}return s}const Oi={namespace:"",skipTags:["noscript","style","textarea","pre","code","annotation","annotation-xml"],processScriptType:"math/tex",ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",preserveOriginalContent:!0,renderAccessibleContent:"mathml",TeX:{disabled:!1,processEnvironments:!0,delimiters:{inline:[["\\(","\\)"]],display:[["$$","$$"],["\\[","\\]"]]}}};var Ki={renderMathInElement:function(t,e){try{if((e=Object.assign({},Oi,e)).ignoreClassPattern=new RegExp(e.ignoreClass),e.processClassPattern=new RegExp(e.processClass),e.processScriptTypePattern=new RegExp(e.processScriptType),e.macros=Nt.MACROS,e.namespace){if(!/^[a-z]+[-]?$/.test(e.namespace))throw Error("options.namespace must be a string of lowercase characters only");/-$/.test(e.namespace)||(e.namespace+="-")}!function t(e,s){const i=e.getAttribute("data-"+s.namespace+"original-content");if(i){const t=Pi(i,e.getAttribute("data-"+s.namespace+"mathstyle"),s,!1);null!=t&&(e.textContent="",e.appendChild(t))}else{if(1===e.childNodes.length&&3===e.childNodes[0].nodeType){const t=e.childNodes[0].textContent;if(s.TeX.processEnvironments&&/^\s*\\begin/.test(t))return e.textContent="",void e.appendChild(Pi(t,void 0,s,!0));const i=Bi(t,s.TeX.delimiters);if(1===i.length&&"math"===i[0].type)return e.textContent="",void e.appendChild(Pi(i[0].data,i[0].mathstyle,s,!0));if(1===i.length&&"text"===i[0].type)return}for(let i=0;i<e.childNodes.length;i++){const a=e.childNodes[i];if(3===a.nodeType){const t=Ri(a.textContent,s);t&&(i+=t.childNodes.length-1,e.replaceChild(t,a))}else if(1===a.nodeType){const e=a.nodeName.toLowerCase();if("script"===e&&s.processScriptTypePattern.test(a.type)){let t="displaystyle";for(const e of a.type.split(";")){const s=e.split("=");"mode"===s[0].toLowerCase()&&(t="display"===s[1].toLoweCase()?"displaystyle":"textstyle")}const e=Pi(a.textContent,t,s,!0);a.parentNode.replaceChild(e,a)}else(s.processClassPattern.test(a.className)||!s.skipTags.includes(e)&&!s.ignoreClassPattern.test(a.className))&&t(a,s)}}}}(t,e)}catch(t){Error}}};function Ni(t,e,s,i){e=e||"displaystyle";const a=x.tokenize(t),o=Ce.parseTokens(a,"math",null,i);if("mathlist"===s)return o;let n=ge.decompose({mathstyle:e},o);if(n=ot.coalesce(n),"span"===s)return n;const r=ot.makeSpan(n,"ML__base"),l=ot.makeSpan("","ML__strut");l.setStyle("height",r.height,"em");const c=[l];if(0!==r.depth){const t=ot.makeSpan("","ML__strut--bottom");t.setStyle("height",r.height+r.depth,"em"),t.setStyle("vertical-align",-r.depth,"em"),c.push(t)}return c.push(r),ot.makeSpan(c,"ML__mathlive").toMarkup()}function $i(t,e){if(!ge.toMathML)return"";(e=e||{}).macros=e.macros||{},Object.assign(e.macros,Nt.MACROS);const s=Ce.parseTokens(x.tokenize(t),"math",null,e.macros);return ge.toMathML(s,e)}function Wi(t,e){if(!ge.toSpeakableText)return"";(e=e||{}).macros=e.macros||{},Object.assign(e.macros,Nt.MACROS);const s=Ce.parseTokens(x.tokenize(t),"math",null,e.macros);return ge.toSpeakableText(s,e)}function Vi(t,e){if(!e&&window&&window.mathlive&&(e=window.mathlive.config),(e=e||{}).speechEngine&&"local"!==e.speechEngine)if("amazon"===e.speechEngine)if(window&&window.AWS){const s=new window.AWS.Polly({apiVersion:"2016-06-10"}),i={OutputFormat:"mp3",VoiceId:e.speechEngineVoice||"Joanna",Text:t,TextType:"ssml"};s.synthesizeSpeech(i,function(t,e){if(t);else if(e&&e.AudioStream){const t=new Uint8Array(e.AudioStream),s=new Blob([t.buffer],{type:"audio/mpeg"}),i=URL.createObjectURL(s);new Audio(i).play().catch(t=>void 0)}})}else;else e.speechEngine;else{const e=new SpeechSynthesisUtterance(t);window&&window.speechSynthesis.speak(e)}}function Hi(t,e,s){if(!window)return;if(!s&&window.mathlive&&(s=window.mathlive.config),"amazon"!==(s=s||{}).speechEngine)return void(s.handleSpeak&&s.handleSpeak(e));if(!window.AWS)return;const i=new window.AWS.Polly({apiVersion:"2016-06-10"}),a={OutputFormat:"json",VoiceId:s.speechEngineVoice||"Joanna",Text:e,TextType:"ssml",SpeechMarkTypes:["ssml"]};window.mathlive=window.mathlive||{},window.mathlive.readAloudElement=t;const o=s.onReadAloudStatus||window.mathlive.onReadAloudStatus;i.synthesizeSpeech(a,function(t,e){if(t);else if(e&&e.AudioStream){const t=new TextDecoder("utf-8").decode(new Uint8Array(e.AudioStream));window.mathlive.readAloudMarks=t.split("\n").map(t=>t?JSON.parse(t):{}),window.mathlive.readAloudTokens=[];for(const t of window.mathlive.readAloudMarks)t.value&&window.mathlive.readAloudTokens.push(t.value);window.mathlive.readAloudCurrentMark="",a.OutputFormat="mp3",a.SpeechMarkTypes=[],i.synthesizeSpeech(a,function(t,e){if(t);else if(e&&e.AudioStream){const t=new Uint8Array(e.AudioStream),s=new Blob([t.buffer],{type:"audio/mpeg"}),i=URL.createObjectURL(s);window.mathlive.readAloudAudio?window.mathlive.readAloudAudio.pause():(window.mathlive.readAloudAudio=new Audio,window.mathlive.readAloudAudio.addEventListener("ended",()=>{o&&o(window.mathlive.readAloudMathField,"ended"),window.mathlive.readAloudMathField?(window.mathlive.readAloudMathField._render(),window.mathlive.readAloudElement=null,window.mathlive.readAloudMathField=null,window.mathlive.readAloudTokens=[],window.mathlive.readAloudMarks=[],window.mathlive.readAloudCurrentMark=""):function t(e){e.classList.remove("highlight"),e.children&&Array.from(e.children).forEach(e=>{t(e)})}(window.mathlive.readAloudElement)}),window.mathlive.readAloudAudio.addEventListener("timeupdate",()=>{let t="";const e=1e3*window.mathlive.readAloudAudio.currentTime+100;for(const s of window.mathlive.readAloudMarks)s.time<e&&(t=s.value);window.mathlive.readAloudCurrentMark!==t&&(window.mathlive.readAloudCurrentToken=t,t&&t===window.mathlive.readAloudFinalToken?window.mathlive.readAloudAudio.pause():(window.mathlive.readAloudCurrentMark=t,function t(e,s){s&&e.dataset.atomId!==s?(e.classList.remove("highlight"),e.children&&e.children.length>0&&Array.from(e.children).forEach(e=>{t(e,s)})):(e.classList.add("highlight"),e.children&&e.children.length>0&&Array.from(e.children).forEach(e=>{t(e)}))}(window.mathlive.readAloudElement,window.mathlive.readAloudCurrentMark)))})),window.mathlive.readAloudAudio.src=i,o&&o(window.mathlive.readAloudMathField,"playing"),window.mathlive.readAloudAudio.play()}})}})}function Ui(t){let e=t;if("string"==typeof t&&!(e=document.getElementById(t)))throw Error(`The element with ID "${t}" could not be found.`);return e}function Gi(t,e){Ki&&((e=e||{}).renderToMarkup=e.renderToMarkup||Ni,e.renderToMathML=e.renderToMathML||$i,e.renderToSpeakableText=e.renderToSpeakableText||Wi,e.macros=e.macros||Nt.MACROS,Ki.renderMathInElement(Ui(t),e))}function ji(t){if(t.namespace){if(!/^[a-z]+[-]?$/.test(t.namespace))throw Error("options.namespace must be a string of lowercase characters 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zi.MathField?t.originalContent:(ji(e=e||{}),t.getAttribute("data-"+(e.namespace||"")+"original-content"))},readAloud:Hi,readAloudStatus:function(){return window?(window.mathlive=window.mathlive||{},window.mathlive.readAloudAudio?window.mathlive.readAloudAudio.paused?"paused":window.mathlive.readAloudAudio.ended?"ready":"playing":"ready"):"unavailable"},pauseReadAloud:function(){window&&(window.mathlive=window.mathlive||{},window.mathlive.readAloudAudio&&(window.mathlive.onReadAloudStatus&&window.mathlive.onReadAloudStatus(window.mathlive.readAloudMathField,"paused"),window.mathlive.readAloudAudio.pause()))},resumeReadAloud:function(){window&&(window.mathlive=window.mathlive||{},window.mathlive.readAloudAudio&&(window.mathlive.onReadAloudStatus&&window.mathlive.onReadAloudStatus(window.mathlive.readAloudMathField,"playing"),window.mathlive.readAloudAudio.play()))},playReadAloud:function(t,e){if(window&&(window.mathlive=window.mathlive||{},window.mathlive.readAloudAudio)){let s=0;if(window.mathlive.readAloudFinalToken=null,t){window.mathlive.readAloudMarks=window.mathlive.readAloudMarks||[];for(const e of window.mathlive.readAloudMarks)e.value===t&&(s=e.time/1e3);let i=window.mathlive.readAloudTokens.indexOf(t);i>=0&&(i+=e)<window.mathlive.readAloudTokens.length&&(window.mathlive.readAloudFinalToken=i)}window.mathlive.readAloudAudio.currentTime=s,window.mathlive.onReadAloudStatus&&window.mathlive.onReadAloudStatus(window.mathlive.readAloudMathField,"playing"),window.mathlive.readAloudAudio.play()}}};
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y=e.size===$.DISPLAY.size?e.metrics.delim1:e.metrics.delim2,g=ae.makeCustomSizedDelim("mopen",this.leftDelim,y,!0,t.clone({mathstyle:e})),b=ae.makeCustomSizedDelim("mclose",this.rightDelim,y,!0,t.clone({mathstyle:e}));g.applyStyle(this.getStyle()),b.applyStyle(this.getStyle());const x=ne([g,f,b],t.parentSize!==t.size?"sizing reset-"+t.parentSize+" "+t.size:"genfrac");return this.bind(t,x)}decomposeLeftright(t){if(!this.body)return this.leftDelim?new de("math","mopen",this.leftDelim).decompose(t):this.rightDelim?new de("math","mclose",this.rightDelim).decompose(t):null;const e=t.clone(),s=ye(e,this.body),i=e.mathstyle;let a=0,o=0,n=[];if(a=ot.height(s)*i.sizeMultiplier,o=ot.depth(s)*i.sizeMultiplier,this.leftDelim&&(n.push(ae.makeLeftRightDelim("mopen",this.leftDelim,a,o,e)),n[n.length-1].applyStyle(this.getStyle())),s){for(let t=0;t<s.length;t++)if(s[t].delim){const i=s[t].caret,n=/ML__selected/.test(s[t].classes);s[t]=ae.makeLeftRightDelim("minner",s[t].delim,a,o,e),s[t].caret=i,s[t].selected(n)}n=n.concat(s)}if(this.rightDelim){let t=this.rightDelim;"?"===t&&(t=(t={"(":")","\\{":"\\}","\\[":"\\]","\\lbrace":"\\rbrace","\\langle":"\\rangle","\\lfloor":"\\rfloor","\\lceil":"\\rceil","\\vert":"\\vert","\\lvert":"\\rvert","\\Vert":"\\Vert","\\lVert":"\\rVert","\\lbrack":"\\rbrack","\\ulcorner":"\\urcorner","\\llcorner":"\\lrcorner","\\lgroup":"\\rgroup","\\lmoustache":"\\rmoustache"}[this.leftDelim])||this.leftDelim,e.opacity=.5),n.push(ae.makeLeftRightDelim("mclose",t,a,o,e)),n[n.length-1].applyStyle(this.getStyle())}return this.inner?re(n,i.cls()):n}decomposeSurd(t){const e=t.mathstyle,s=ye(t.cramp(),this.body),i=S.defaultRuleThickness/e.sizeMultiplier;let a=i;e.id<$.TEXT.id&&(a=e.metrics.xHeight);let o=i+a/4;const n=(ot.height(s)+ot.depth(s))*e.sizeMultiplier+(o+i),r=oe(ae.makeCustomSizedDelim("","\\surd",n,!1,t),"sqrt-sign");r.applyStyle(this.getStyle());const l=r.height+r.depth-i;l>ot.height(s)+ot.depth(s)+o&&(o=(o+l-ot.height(s)-ot.depth(s))/2),r.setTop(r.height-ot.height(s)-(o+i));const c=oe("",t.mathstyle.adjustTo($.TEXT)+" sqrt-line");let h;if(c.applyStyle(this.getStyle()),c.height=i,h=0===ot.height(s)&&0===ot.depth(s)?oe():ce(t,[s,o,c,i]),!this.index)return this.bind(t,ne([r,h],"sqrt"));const p=t.clone({mathstyle:$.SCRIPTSCRIPT}),d=oe(ye(p,this.index),e.adjustTo($.SCRIPTSCRIPT)),m=Math.max(r.height,h.height),u=Math.max(r.depth,h.depth),f=ce(t,[d],"shift",-(.6*(m-u)));return this.bind(t,ne([oe(f,"root"),r,h],"sqrt"))}decomposeAccent(t){const e=t.mathstyle;let s=ye(t.cramp(),this.body);(this.superscript||this.subscript)&&(s=this.attachSupsub(t,ne(s),"mord"));let i=0;Array.isArray(this.body)&&1===this.body.length&&this.body[0].isCharacterBox()&&(i=ot.skew(s));const a=Math.min(ot.height(s),e.metrics.xHeight),o=ot.makeSymbol("Main-Regular",this.accent,"math");o.italic=0;const n="⃗"===this.accent?" accent-vec":"";let r=oe(oe(o),"accent-body"+n);return(r=ce(t,[s,-a,r])).children[1].setLeft(2*i),ne(r,"accent")}decomposeLine(t){const e=t.mathstyle,s=ye(t.cramp(),this.body),i=S.defaultRuleThickness/e.sizeMultiplier,a=oe("",t.mathstyle.adjustTo($.TEXT)+" "+this.position+"-line");let o;if(a.height=i,a.maxFontSize=1,"overline"===this.position)o=ce(t,[s,3*i,a,i]);else{const e=oe(s);o=ce(t,[i,a,3*i,e],"top",ot.height(e))}return ne(o,this.position)}decomposeOverunder(t){const e=ye(t,this.body),s=t.clone({mathstyle:"scriptstyle"}),i=this.overscript?oe(ye(s,this.overscript),t.mathstyle.adjustTo(s.mathstyle)):null,a=this.underscript?oe(ye(s,this.underscript),t.mathstyle.adjustTo(s.mathstyle)):null;return fe(t,e,0,0,i,a,this.mathtype||"mrel")}decomposeOverlap(t){const e=oe(ye(t,this.body),"inner");return ne([e,oe("","fix")],"left"===this.align?"llap":"rlap")}decomposeRule(t){const e=t.mathstyle,s=ne("","rule");let i=this.shift&&!isNaN(this.shift)?this.shift:0;i/=e.sizeMultiplier;const a=this.width/e.sizeMultiplier,o=this.height/e.sizeMultiplier;return s.setStyle("border-right-width",a,"em"),s.setStyle("border-top-width",o,"em"),s.setStyle("margin-top",-(o-i),"em"),s.setStyle("border-color",t.color),s.width=a,s.height=o+i,s.depth=-i,s}decomposeOp(t){const e=t.mathstyle;let s,i=!1;e.size===$.DISPLAY.size&&"string"==typeof this.body&&"\\smallint"!==this.body&&(i=!0);let a=0,o=0;if(this.symbol){const n=i?"Size2-Regular":"Size1-Regular";(s=ot.makeSymbol(n,this.body,"op-symbol "+(i?"large-op":"small-op"))).type="mop",a=(s.height-s.depth)/2-e.metrics.axisHeight*e.sizeMultiplier,o=s.italic,this.bind(t,s)}else Array.isArray(this.body)?(s=ot.makeOp(ye(t,this.body)),this.bind(t,s)):s=this.makeSpan(t,this.body);if(this.superscript||this.subscript){const i=this.limits||"auto";return this.alwaysHandleSupSub||"limits"===i||"auto"===i&&e.size===$.DISPLAY.size?this.attachLimits(t,s,a,o):this.attachSupsub(t,s,"mop")}return this.symbol&&s.setTop(a),s}applySizing(t){const e={size1:.5,size2:.7,size3:.8,size4:.9,size5:1,size6:1.2,size7:1.44,size8:1.73,size9:2.07,size10:2.49}[this.size]*t.mathstyle.sizeMultiplier;t.size=this.size,t.sizeMultiplier=e}decomposeBox(t){const e=ne(ye(t,this.body));e.setStyle("position","relative");const s=ne(e),i=this.padding?this.padding:S.fboxsep;return s.setStyle("padding",i,"em"),this.backgroundcolor&&s.setStyle("background-color",this.backgroundcolor),this.framecolor&&s.setStyle("border",S.fboxrule+"em solid "+this.framecolor),this.border&&s.setStyle("border",this.border),s.height=e.height,s.depth=e.depth,s.setStyle("position","relative"),s.setStyle("height",s.height+s.depth,"em"),this.bind(t,s)}decomposeEnclose(t){const e=ne(ye(t,this.body)),s="auto"===this.padding?.2:this.padding;e.setStyle("padding",s,"em"),e.setStyle("display","inline-block"),e.setStyle("height",e.height+e.depth,"em"),e.setStyle("left",-s,"em"),this.backgroundcolor&&"transparent"!==this.backgroundcolor&&e.setStyle("background-color",this.backgroundcolor);let i="";if(this.notation.box&&e.setStyle("border",this.borderStyle),this.notation.actuarial&&(e.setStyle("border-top",this.borderStyle),e.setStyle("border-right",this.borderStyle)),this.notation.madruwb&&(e.setStyle("border-bottom",this.borderStyle),e.setStyle("border-right",this.borderStyle)),this.notation.roundedbox&&(e.setStyle("border-radius",(ot.height(e)+ot.depth(e))/2,"em"),e.setStyle("border",this.borderStyle)),this.notation.circle&&(e.setStyle("border-radius","50%"),e.setStyle("border",this.borderStyle)),this.notation.top&&e.setStyle("border-top",this.borderStyle),this.notation.left&&e.setStyle("border-left",this.borderStyle),this.notation.right&&e.setStyle("border-right",this.borderStyle),this.notation.bottom&&e.setStyle("border-bottom",this.borderStyle),this.notation.horizontalstrike&&(i+='<line x1="3%"  y1="50%" x2="97%" y2="50%"',i+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,i+=' stroke-linecap="round"',this.svgStrokeStyle&&(i+=` stroke-dasharray="${this.svgStrokeStyle}"`),i+="/>"),this.notation.verticalstrike&&(i+='<line x1="50%"  y1="3%" x2="50%" y2="97%"',i+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,i+=' stroke-linecap="round"',this.svgStrokeStyle&&(i+=` stroke-dasharray="${this.svgStrokeStyle}"`),i+="/>"),this.notation.updiagonalstrike&&(i+='<line x1="3%"  y1="97%" x2="97%" y2="3%"',i+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,i+=' stroke-linecap="round"',this.svgStrokeStyle&&(i+=` stroke-dasharray="${this.svgStrokeStyle}"`),i+="/>"),this.notation.downdiagonalstrike&&(i+='<line x1="3%"  y1="3%" x2="97%" y2="97%"',i+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,i+=' stroke-linecap="round"',this.svgStrokeStyle&&(i+=` stroke-dasharray="${this.svgStrokeStyle}"`),i+="/>"),i){let t;return"none"!==this.shadow&&(t="auto"===this.shadow?"filter: drop-shadow(0 0 .5px rgba(255, 255, 255, .7)) drop-shadow(1px 1px 2px #333)":"filter: drop-shadow("+this.shadow+")"),ot.makeSVG(e,i,t)}return e}decompose(t,e){let s=null;if(!this.type||/mord|minner|mbin|mrel|mpunct|mopen|mclose|textord/.test(this.type))(s="string"==typeof this.body?this.makeSpan(t,this.body):this.makeSpan(t,ye(t,this.body))).type=this.type;else if("group"===this.type||"root"===this.type)s=this.decomposeGroup(t);else if("array"===this.type)s=this.decomposeArray(t);else if("genfrac"===this.type)s=this.decomposeGenfrac(t);else if("surd"===this.type)s=this.decomposeSurd(t);else if("accent"===this.type)s=this.decomposeAccent(t);else if("leftright"===this.type)s=this.decomposeLeftright(t);else if("delim"===this.type)(s=oe("","")).delim=this.delim;else if("sizeddelim"===this.type)s=this.bind(t,ae.makeSizedDelim(this.cls,this.delim,this.size,t));else if("line"===this.type)s=this.decomposeLine(t);else if("overunder"===this.type)s=this.decomposeOverunder(t);else if("overlap"===this.type)s=this.decomposeOverlap(t);else if("rule"===this.type)s=this.decomposeRule(t);else if("styling"===this.type);else if("msubsup"===this.type)s=ne("​"),e&&(s.height=e[0].height,s.depth=e[0].depth);else if("mop"===this.type)s=this.decomposeOp(t);else if("space"===this.type)s=this.makeSpan(t," ");else if("spacing"===this.type)if("​"===this.body)s=this.makeSpan(t,"​");else if(" "===this.body)s="math"===this.mode?this.makeSpan(t," "):this.makeSpan(t," ");else if(this.width)s=oe("​","mspace "),this.width>0?s.setWidth(this.width):s.setStyle("margin-left",this.width,"em");else{const t={qquad:"qquad",quad:"quad",enspace:"enspace",";":"thickspace",":":"mediumspace",",":"thinspace","!":"negativethinspace"}[this.body]||"quad";s=oe("​","mspace 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i=t.mathstyle;let a=null,o=null;if(this.superscript){const e=ye(t.sup(),this.superscript);a=oe(e,i.adjustTo(i.sup()))}if(this.subscript){const e=ye(t.sub(),this.subscript);o=oe(e,i.adjustTo(i.sub()))}let n,r=0,l=0;this.isCharacterBox()||(r=ot.height(e)-i.metrics.supDrop,l=ot.depth(e)+i.metrics.subDrop),n=i===$.DISPLAY?i.metrics.sup1:i.cramped?i.metrics.sup3:i.metrics.sup2;const c=$.TEXT.sizeMultiplier*i.sizeMultiplier,h=.5/S.ptPerEm/c;let p=null;if(o&&a){r=Math.max(r,n,a.depth+.25*i.metrics.xHeight),l=Math.max(l,i.metrics.sub2);const s=S.defaultRuleThickness;if(r-ot.depth(a)-(ot.height(o)-l)<4*s){l=4*s-(r-a.depth)+ot.height(o);const t=.8*i.metrics.xHeight-(r-ot.depth(a));t>0&&(r+=t,l-=t)}p=ce(t,[o,l,a,-r],"individualShift"),this.symbol&&p.children[0].setLeft(-ot.italic(e))}else o&&!a?(l=Math.max(l,i.metrics.sub1,ot.height(o)-.8*i.metrics.xHeight),(p=ce(t,[o],"shift",l)).children[0].setRight(h),this.isCharacterBox()&&p.children[0].setLeft(-ot.italic(e))):!o&&a&&(r=Math.max(r,n,a.depth+.25*i.metrics.xHeight),(p=ce(t,[a],"shift",-r)).children[0].setRight(h));const d=oe(p,"msubsup");return this.caret&&(d.caret=this.caret),ot.makeSpanOfType(s,[e,d])}attachLimits(t,e,s,i){const a=this.superscript?oe(ye(t.sup(),this.superscript),t.mathstyle.adjustTo(t.mathstyle.sup())):null,o=this.subscript?oe(ye(t.sub(),this.subscript),t.mathstyle.adjustTo(t.mathstyle.sub())):null;return fe(t,e,s,i,a,o,"mop")}bind(t,e){return"first"!==this.type&&"​"!==this.body&&(this.id=function(t){let e;"boolean"==typeof t.generateID&&t.generateID?e=Date.now().toString(36).slice(-2)+Math.floor(1e5*Math.random()).toString(36):"boolean"!=typeof t.generateID&&(t.generateID.overrideID?e=t.generateID.overrideID:(e=t.generateID.seed.toString(36),t.generateID.seed+=1));return e}(t),this.id&&(e.attributes||(e.attributes={}),e.attributes["data-atom-id"]=this.id)),e}makeSpan(t,e){const s="textord"===this.type?"mord":this.type,i=ot.makeSpanOfType(s,e);return i.applyStyle(this.getStyle()),t.parentSize!==t.size&&(i.classes+=" sizing reset-"+t.parentSize,i.classes+=" "+t.size),"text"===this.mode&&(i.classes+=" ML__text"),t.mathstyle.isTight()&&(i.isTight=!0),"math"!==this.mode&&(i.italic=0),i.setRight(i.italic),"number"==typeof t.opacity&&i.setStyle("opacity",t.opacity),this.bind(t,i),this.caret&&(this.superscript||this.subscript||(i.caret=this.caret,t.mathstyle.isTight()&&(i.isTight=!0))),i}}function me(t){const e=oe("​","arraycolsep");return e.setWidth(t,"em"),e}function ue(t,e,s,i){const a=[];for(const o of e){const e=oe(ye(t,i));e.depth=o.depth,e.height=o.height,a.push(e),a.push(o.pos-s)}return ce(t,a,"individualShift")}function fe(t,e,s,i,a,o,n){if(!a&&!o)return e;e=oe(e);let r=0,l=0;a&&(r=Math.max(S.bigOpSpacing1,S.bigOpSpacing3-a.depth)),o&&(l=Math.max(S.bigOpSpacing2,S.bigOpSpacing4-o.height));let c=null;if(o&&a){const n=S.bigOpSpacing5+ot.height(o)+ot.depth(o)+l+ot.depth(e)+s;(c=ce(t,[S.bigOpSpacing5,o,l,e,r,a,S.bigOpSpacing5],"bottom",n)).children[0].setLeft(-i),c.children[2].setLeft(i)}else if(o&&!a){const a=ot.height(e)-s;(c=ce(t,[S.bigOpSpacing5,o,l,e],"top",a)).children[0].setLeft(-i)}else if(!o&&a){const o=ot.depth(e)+s;(c=ce(t,[e,r,a,S.bigOpSpacing5],"bottom",o)).children[1].setLeft(i)}return ot.makeSpanOfType(n,c,"op-limits")}function ye(t,e){t instanceof V.Context||(t=new V.Context(t));const s=!t.generateID||!t.generateID.groupNumbers;let i=[];if(Array.isArray(e)){if(0===e.length)return i;if(1===e.length)(i=e[0].decompose(t))&&s&&e[0].isSelected&&i.forEach(t=>t.selected(!0));else{let a="none",o=e[1].type,n=[],r=null,l=null;for(let c=0;c<e.length;c++){"mbin"===e[c].type&&(/first|none|mrel|mpunct|mopen|mbin|mop/.test(a)||/none|mrel|mpunct|mclose/.test(o))&&(e[c].type="mord"),"​"===e[c].body&&(e[c].superscript||e[c].subscript)||(l=null),t.generateID.groupNumbers&&r&&"mord"===e[c].type&&/[0-9,.]/.test(e[c].latex)&&(t.generateID.overrideID=r);const h=e[c].decompose(t,l);if(t.generateID&&(t.generateID.overrideID=null),h){const a=[].concat.apply([],h);l=a,t.generateID&&t.generateID.groupNumbers&&("mord"===e[c].type&&/[0-9,.]/.test(e[c].latex)&&(r||(r=e[c].id)),("mord"!==e[c].type||/[0-9,.]/.test(e[c].latex)||e[c].superscript||e[c].subscript)&&r&&(r=null)),s&&e[c].isSelected?(n=n.concat(a)).forEach(t=>t.selected(!0)):(n.length>0&&(i=[...i,...n],n=[]),i=i.concat(a))}a=e[c].getFinalBaseElement().type,o=e[c+1]?e[c+1].getInitialBaseElement().type:"none"}n.length>0&&(i=[...i,...n],n=[])}}else e&&(i=e.decompose(t))&&s&&e.isSelected&&i.forEach(t=>t.selected(!0));if(!i||0===i.length)return null;const a={size1:.5,size2:.7,size3:.8,size4:.9,size5:1,size6:1.2,size7:1.44,size8:1.73,size9:2.07,size10:2.49};if(t.mathstyle!==t.parentMathstyle){const e=t.mathstyle.sizeMultiplier/t.parentMathstyle.sizeMultiplier;for(const t of i)t.height*=e,t.depth*=e}if(t.size!==t.parentSize){const e=a[t.size]/a[t.parentSize];for(const t of i)t.height*=e,t.depth*=e}return i}var ge={MathAtom:de,decompose:ye,makeRoot:function(t,e){const s=new de(t=t||"math","root");return s.body=e||[],0!==s.body.length&&"first"===s.body[0].type||s.body.unshift(new de("","first")),s},GREEK_REGEX:he};const be={m0:"#3f3d99",m1:"#993d71",m2:"#998b3d",m3:"#3d9956",m4:"#3d5a99",m5:"#993d90",m6:"#996d3d",m7:"#43993d",m8:"#3d7999",m9:"#843d99"},xe={apricot:"#FBB982",aquamarine:"#00B5BE",bittersweet:"#C04F17",black:"#221E1F",blue:"#2D2F92",bluegreen:"#00B3B8",blueviolet:"#473992",brickred:"#B6321C",brown:"#792500",burntorange:"#F7921D",cadetblue:"#74729A",carnationpink:"#F282B4",cerulean:"#00A2E3",cornflowerblue:"#41B0E4",cyan:"#00AEEF",dandelion:"#FDBC42",darkorchid:"#A4538A",emerald:"#00A99D",forestgreen:"#009B55",fuchsia:"#8C368C",goldenrod:"#FFDF42",gray:"#949698",green:"#00A64F",greenyellow:"#DFE674",junglegreen:"#00A99A",lavender:"#F49EC4",limegreen:"#8DC73E",magenta:"#EC008C",mahogany:"#A9341F",maroon:"#AF3235",melon:"#F89E7B",midnightblue:"#006795",mulberry:"#A93C93",navyblue:"#006EB8",olivegreen:"#3C8031",orange:"#F58137",orangered:"#ED135A",orchid:"#AF72B0",peach:"#F7965A",periwinkle:"#7977B8",pinegreen:"#008B72",plum:"#92268F",processblue:"#00B0F0",purple:"#99479B",rawsienna:"#974006",red:"#ED1B23",redorange:"#F26035",redviolet:"#A1246B",rhodamine:"#EF559F",royalblue:"#0071BC",royalpurple:"#613F99",rubinered:"#ED017D",salmon:"#F69289",seagreen:"#3FBC9D",sepia:"#671800",skyblue:"#46C5DD",springgreen:"#C6DC67",tan:"#DA9D76",tealblue:"#00AEB3",thistle:"#D883B7",turquoise:"#00B4CE",violet:"#58429B",violetred:"#EF58A0",white:"#FFFFFF",wildstrawberry:"#EE2967",yellow:"#FFF200",yellowgreen:"#98CC70",yelloworange:"#FAA21A"};var ke={stringToColor:function(t){const e=t.toLowerCase().split("!");let s,i,a,o=255,n=255,r=255,l=-1;const c=e.length>0&&"-"===e[0].charAt(0);c&&(e[0]=e[0].slice(1));for(let t=0;t<e.length;t++){s=o,i=n,a=r;let c=e[t].match(/([a-z0-9]*)/);c&&(c=c[1]);let h=xe[c]||be[c];h||(h=e[t]);let p=h.match(/^#([0-9a-f]{2})([0-9a-f]{2})([0-9a-f]{2})$/i);if(p&&p[1]&&p[2]&&p[3])o=Math.max(0,Math.min(255,parseInt(p[1],16))),n=Math.max(0,Math.min(255,parseInt(p[2],16))),r=Math.max(0,Math.min(255,parseInt(p[3],16)));else if((p=h.match(/^#([0-9a-f]{3})$/i))&&p[1]){const t=parseInt(p[1][0],16),e=parseInt(p[1][1],16),s=parseInt(p[1][2],16);o=Math.max(0,Math.min(255,16*t+t)),n=Math.max(0,Math.min(255,16*e+e)),r=Math.max(0,Math.min(255,16*s+s))}else{if(!((p=h.match(/^rgb\s*\(\s*(\d+)\s*,\s*(\d+)\s*,\s*(\d+)\s*\)$/i))&&p[1]&&p[2]&&p[3]))return null;o=Math.max(0,Math.min(255,parseInt(p[1]))),n=Math.max(0,Math.min(255,parseInt(p[2]))),r=Math.max(0,Math.min(255,parseInt(p[3])))}l>=0&&(o=(1-l)*o+l*s,n=(1-l)*n+l*i,r=(1-l)*r+l*a,l=-1),t+1<e.length&&(l=Math.max(0,Math.min(100,parseInt(e[++t])))/100)}return l>=0&&(o=l*o+(1-l)*s,n=l*n+(1-l)*i,r=l*r+(1-l)*a),c&&(o=255-o,n=255-n,r=255-r),"#"+("00"+Math.round(o).toString(16)).slice(-2)+("00"+Math.round(n).toString(16)).slice(-2)+("00"+Math.round(r).toString(16)).slice(-2)},colorToString:function(t){let e=t.toUpperCase();for(const t in xe)if(xe[t]===e){e=t;break}for(const t in be)if(be[t]===e){e=t;break}return e},AREA_COLORS:["#d35d60","#7293cb","#e1974d","#84bb5d","#9066a7","#aD6a58","#f5a4ce","#fff590","#212121","#818787","#d4d5d2","#ffffff"],LINE_COLORS:["#cc2428","#3769b1","#da7e30","#409852","#6b4c9a","#922426","#e7298a","#ffe907","#000000","#525055","#adafaa","#ffffff"]};const ve=ge.MathAtom;class we{constructor(t,e,s){this.tokens=t,this.index=0,this.args=e,this.macros=s,this.mathList=[],this.style={},this.parseMode="math",this.tabularMode=!1,this.endCount=0}swapMathList(t){const e=this.mathList;return this.mathList=t||[],e}swapParseMode(t){const e=this.parseMode;return this.parseMode=t,e}end(){return this.endCount++,this.index>=this.tokens.length||this.endCount>1e3}get(){return this.endCount=0,this.index<this.tokens.length?this.tokens[this.index++]:null}peek(t){const e=this.index+(t||0);return e<this.tokens.length?this.tokens[e]:null}lastMathAtom(){const t=0===this.mathList.length?"none":this.mathList[this.mathList.length-1].type;if("mop"!==t&&"msubsup"!==t){const t=new ve(this.parseMode,"msubsup","​");t.attributes={"aria-hidden":!0},this.mathList.push(t)}return this.mathList[this.mathList.length-1]}hasToken(t){const e=this.index;return e<this.tokens.length&&this.tokens[e].type===t}hasLiteral(t){const e=this.index;return e<this.tokens.length&&("literal"===this.tokens[e].type&&(!t||this.tokens[e].value===t))}hasLiteralPattern(t){return this.hasToken("literal")&&t.test(this.tokens[this.index].value)}hasCommand(t){const e=this.index;return e<this.tokens.length&&("command"===this.tokens[e].type&&this.tokens[e].value===t)}hasInfixCommand(){const t=this.index;if(t<this.tokens.length&&"command"===this.tokens[t].type){const e=Nt.getInfo("\\"+this.tokens[t].value,this.parseMode,this.macros);return e&&e.infix}return!1}hasColumnSeparator(){const t=this.index;return!!(this.tabularMode&&t<this.tokens.length)&&("literal"===this.tokens[t].type&&"&"===this.tokens[t].value)}hasRowSeparator(){const t=this.index;return!!(this.tabularMode&&t<this.tokens.length)&&("command"===this.tokens[t].type&&("\\"===this.tokens[t].value||"cr"===this.tokens[t].value))}parseColumnSeparator(){return!!this.hasColumnSeparator()&&(this.index++,!0)}placeholder(){return this.args&&"string"==typeof this.args["?"]?Me(x.tokenize(this.args["?"]),this.parseMode,null,this.macros):[new ve(this.parseMode,"placeholder","?",this.style)]}hasImplicitCommand(t){if(this.index<this.tokens.length){const e=this.tokens[this.index];if("command"===e.type)return t.includes(e.value)}return!1}parseRowSeparator(){return!!this.hasRowSeparator()&&(this.index++,!0)}parseToken(t){return!!this.hasToken(t)&&(this.index++,!0)}skipWhitespace(){let t=!1;for(;this.hasToken("space");)this.index++,t=!0;return t}skipUntilToken(t){for(;!this.end()&&!this.parseToken(t);)this.get()}parseCommand(t){return!!this.hasCommand(t)&&(this.index++,!0)}parseLiteral(t){return!!this.hasLiteral(t)&&(this.index++,!0)}parseFiller(){let t=!1,e=!1;do{const s=this.skipWhitespace(),i=this.parseCommand("relax");t=t||s||i,e=!s&&!i}while(!e);return t}parseKeyword(t){const e=this.index;let s=this.end(),i="";for(;!s;){const e=this.get();"literal"===e.type&&(i+=e.value),s=this.end()||"literal"!==e.type||i.length>=t.length}const a=t.toUpperCase()===i.toUpperCase();return a||(this.index=e),a}scanString(){let t="",e=this.end();for(;!e;){if(this.hasLiteral("]"))e=!0;else if(this.hasToken("literal"))t+=this.get().value;else if(this.skipWhitespace())t+=" ";else if(this.hasToken("command")){const e=this.get();"space"===e.value?t+=" ":t+=e.value}else e=!0;e=e||this.end()}return t}scanColor(){return ke.stringToColor(this.scanString())}scanNumber(t){const e=this.parseLiteral("-");e||this.parseLiteral("+"),this.skipWhitespace(),t=!!t;let s=10,i=/[0-9]/;this.parseLiteral("'")?(s=8,i=/[0-7]/,t=!0):(this.parseLiteral('"')||this.parseLiteral("x"))&&(s=16,i=/[0-9A-F]/,t=!0);let a="";for(;this.hasLiteralPattern(i);)a+=this.get().value;if(!t&&(this.parseLiteral(".")||this.parseLiteral(",")))for(a+=".";this.hasLiteralPattern(i);)a+=this.get().value;const o=t?parseInt(a,s):parseFloat(a);return e?-o:o}scanDimen(){const t=this.scanNumber(!1);let e;return this.skipWhitespace(),e=this.parseKeyword("pt")?C.toEm(t,"pt"):this.parseKeyword("mm")?C.toEm(t,"mm"):this.parseKeyword("cm")?C.toEm(t,"cm"):this.parseKeyword("ex")?C.toEm(t,"ex"):this.parseKeyword("px")?C.toEm(t,"px"):this.parseKeyword("em")?C.toEm(t,"em"):this.parseKeyword("bp")?C.toEm(t,"bp"):this.parseKeyword("dd")?C.toEm(t,"dd"):this.parseKeyword("pc")?C.toEm(t,"pc"):this.parseKeyword("in")?C.toEm(t,"in"):this.parseKeyword("mu")?C.toEm(t,"mu"):C.toEm(t,"pt")}scanSkip(){const t=this.scanDimen();return this.skipWhitespace(),this.parseKeyword("plus")&&this.scanDimen(),this.skipWhitespace(),this.parseKeyword("minus")&&this.scanDimen(),t}scanColspec(){this.skipWhitespace();const t=[];for(;!this.end()&&!this.hasToken("}")&&!this.hasLiteral("]");)if(this.hasLiteral()){const e=this.get().value;if("lcr".includes(e))t.push({align:e});else if("|"===e)t.push({rule:!0});else if("@"===e){if(this.parseToken("{")){const e=this.swapParseMode("math");t.push({gap:this.scanImplicitGroup(t=>"}"===t.type)}),this.swapParseMode(e)}this.parseToken("}")}}return t}scanModeSet(){let t;if(this.parseCommand("(")&&(t=")"),!t&&this.parseCommand("[")&&(t="]"),!t)return null;const e=this.swapParseMode("math"),s=new ve("math","group");return s.mathstyle=")"===t?"textstyle":"displaystyle",s.body=this.scanImplicitGroup(e=>"command"===e.type&&e.value===t),this.parseCommand(t),this.swapParseMode(e),s.body&&0!==s.body.length?s:null}scanModeShift(){if(!this.hasToken("$")&&!this.hasToken("$$"))return null;const t=this.get().type,e=new ve("math","group");e.mathstyle="$"===t?"textstyle":"displaystyle",e.latexOpen="textstyle"===e.mathstyle?"$":"$$",e.latexClose=e.latexOpen;const s=this.swapParseMode("math");return e.body=this.scanImplicitGroup(e=>e.type===t),this.parseToken(t),this.swapParseMode(s),e.body&&0!==e.body.length?e:null}scanEnvironment(){if(!this.parseCommand("begin"))return null;const t=this.scanArg("string"),e=Nt.getEnvironmentInfo(t),s=[];if(e&&e.params)for(const t of e.params)if(t.optional){const e=this.scanOptionalArg(t.type);s.push(e)}else s.push(this.scanArg(t.type));const i=this.parseMode,a=this.tabularMode,o=this.swapMathList([]);this.tabularMode=e.tabular;const n=[],r=[];let l=[],c=!1;do{if(!(c=this.end())&&this.parseCommand("end")&&(c=this.scanArg("string")===t),!c)if(this.parseColumnSeparator())l.push(this.swapMathList([]));else if(this.parseRowSeparator()){l.push(this.swapMathList([]));let t=0;this.skipWhitespace(),this.parseLiteral("[")&&(t=this.scanDimen(),this.skipWhitespace(),this.parseLiteral("]")),r.push(t||0),n.push(l),l=[]}else this.mathList=this.mathList.concat(this.scanImplicitGroup())}while(!c);l.push(this.swapMathList([])),l.length>0&&n.push(l);const h=this.swapMathList(o);if(this.parseMode=i,this.tabularMode=a,!e.tabular&&0===h.length)return null;if(e.tabular&&0===n.length)return null;const p=new ve(this.parseMode,"array",h,e.parser?e.parser(t,s,n):{});return p.array=n,p.rowGaps=r,p.env={...e},p.env.name=t,p}scanImplicitGroup(t){const e=this.style;t||(t=(t=>"}"===t.type||"literal"===t.type&&"&"===t.value||"command"===t.type&&/^(end|cr|\\)$/.test(t.value)));let s=null,i=null;const a=this.swapMathList([]);for(;!this.end()&&!t(this.peek());)if(this.hasImplicitCommand(Se)){const t=new ve(this.parseMode,"sizing");t.size={tiny:"size1",scriptsize:"size2",footnotesize:"size3",small:"size4",normalsize:"size5",large:"size6",Large:"size7",LARGE:"size8",huge:"size9",Huge:"size10"}[this.get().value],this.mathList.push(t)}else if(this.hasImplicitCommand(Ae)){this.parseMode="math";const t=new ve("math","mathstyle");t.mathstyle=this.get().value,this.mathList.push(t)}else this.hasInfixCommand()&&!s?(s=this.get(),i=this.swapMathList([])):this.parseAtom();let o;if(s){const t=this.swapMathList(a),e=Nt.getInfo("\\"+s.value,"math",this.macros);o=e?[new ve(this.parseMode,e.type,e.value||s.value,e.parse?e.parse("\\"+s.value,[i,t]):null)]:[new ve(this.parseMode,"mop",s.value)]}else o=this.swapMathList(a);return this.style=e,o}scanGroup(){if(!this.parseToken("{"))return null;const t=new ve(this.parseMode,"group");return t.body=this.scanImplicitGroup(t=>"}"===t.type),this.parseToken("}"),t}scanSmartFence(){if(this.skipWhitespace(),!this.parseLiteral("("))return null;const t=new ve(this.parseMode,"leftright");t.leftDelim="(",t.inner=!1;const e=this.swapMathList([]);let s=1;for(;!this.end()&&0!==s;)this.hasLiteral("(")&&(s+=1),this.hasLiteral(")")&&(s-=1),0!==s&&this.parseAtom();return 0===s&&this.parseLiteral(")"),t.rightDelim=0===s?")":"?",t.body=this.swapMathList(e),t}scanDelim(){this.skipWhitespace();const t=this.get();if(!t)return null;let e=".";"command"===t.type?e="\\"+t.value:"literal"===t.type&&(e=t.value);const s=Nt.getInfo(e,"math",this.macros);return s?"mopen"===s.type||"mclose"===s.type?e:/^(\?|\||<|>|\\vert|\\Vert|\\\||\\surd|\\uparrow|\\downarrow|\\Uparrow|\\Downarrow|\\updownarrow|\\Updownarrow|\\mid|\\mvert|\\mVert)$/.test(e)?e:null:null}scanLeftRight(){if(this.parseCommand("right")||this.parseCommand("mright")){const t=new ve(this.parseMode,"leftright");return t.rightDelim=this.scanDelim()||".",t}const t=this.style;let e="right";if(!this.parseCommand("left")){if(!this.parseCommand("mleft"))return null;e="mright"}const s=this.scanDelim()||".",i=this.swapMathList([]);for(;!this.end()&&!this.parseCommand(e);)this.parseAtom();this.style=t;const a=this.scanDelim(),o=new ve(this.parseMode,"leftright");return o.leftDelim=s,o.rightDelim=a,o.inner="right"===e,o.body=this.swapMathList(i),o}parseSupSub(){if("math"!==this.parseMode)return!1;let t=!1;for(;this.hasToken("^")||this.hasToken("_")||this.hasLiteral("'");){let e;if(this.hasToken("^")?e="superscript":this.hasToken("_")&&(e="subscript"),this.parseToken("^")||this.parseToken("_")){const s=this.scanArg();if(s){const i=this.lastMathAtom();i[e]=i[e]||[],i[e]=i[e].concat(s),t=!0}}else if(this.parseLiteral("'")){const e=this.lastMathAtom();e.superscript=e.superscript||[],e.superscript.push(new ve(e.parseMode,"mord","′")),t=!0}}return t}parseLimits(){if(this.parseCommand("limits")){const t=this.lastMathAtom();return t.limits="limits",t.explicitLimits=!0,!0}if(this.parseCommand("nolimits")){const t=this.lastMathAtom();return t.limits="nolimits",t.explicitLimits=!0,!0}return!1}scanOptionalArg(t){if(t=t&&"auto"!==t?t:this.parseMode,this.skipWhitespace(),!this.parseLiteral("["))return null;const e=this.parseMode;this.parseMode=t;const s=this.swapMathList();let i;for(;!this.end()&&!this.parseLiteral("]");)if("string"===t)i=this.scanString();else if("number"===t)i=this.scanNumber();else if("dimen"===t)i=this.scanDimen();else if("skip"===t)i=this.scanSkip();else if("colspec"===t)i=this.scanColspec();else if("color"===t)i=this.scanColor()||"#ffffff";else if("bbox"===t){const t=this.scanString().toLowerCase().trim().split(/,(?![^(]*\)(?:(?:[^(]*\)){2})*[^"]*$)/);for(const e of t){const t=ke.stringToColor(e);if(t)(i=i||{}).backgroundcolor=t;else{const t=e.match(/^\s*([0-9.]+)\s*([a-z][a-z])/);if(t)(i=i||{}).padding=C.toEm(t[1],t[2]);else{const t=e.match(/^\s*border\s*:\s*(.*)/);t&&((i=i||{}).border=t[1])}}}}else this.mathList=this.mathList.concat(this.scanImplicitGroup(t=>"literal"===t.type&&"]"===t.value));this.parseMode=e;const a=this.swapMathList(s);return i||a}scanArg(t){let e;if(t=t&&"auto"!==t?t:this.parseMode,this.parseFiller(),!this.parseToken("{")){if("delim"===t)return this.scanDelim()||".";if(/^(math|text)$/.test(t)){const e=this.parseMode;this.parseMode=t;const s=this.scanToken();return this.parseMode=e,Array.isArray(s)?s:s?[s]:null}}if(this.hasToken("#")){const t=this.get();return this.skipUntilToken("}"),"?"===t.value?this.placeholder():this.args?void 0===this.args[t.value]&&void 0!==this.args["?"]?this.placeholder():this.args[t.value]||null:null}const s=this.parseMode;this.parseMode=t;const i=this.swapMathList([]);if("string"===t)e=this.scanString(),this.skipUntilToken("}");else if("number"===t)e=this.scanNumber(),this.skipUntilToken("}");else if("dimen"===t)e=this.scanDimen(),this.skipUntilToken("}");else if("skip"===t)e=this.scanSkip(),this.skipUntilToken("}");else if("colspec"===t)e=this.scanColspec(),this.skipUntilToken("}");else if("color"===t)e=this.scanColor()||"#ffffff",this.skipUntilToken("}");else if("delim"===t)e=this.scanDelim()||".",this.skipUntilToken("}");else do{this.mathList=this.mathList.concat(this.scanImplicitGroup())}while(!this.parseToken("}")&&!this.end());this.parseMode=s;const a=this.swapMathList(i);return e||a}scanToken(){const t=this.get();if(!t)return null;let e=null;if("space"===t.type)"text"===this.parseMode&&(e=new ve("text",""," 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i=this.parent();for(;s&&!i[s];)s=e[s];if(s)return void this.setSelection(0,0,s);if(this.parent().array){const t=We(this.parent().array);let e=parseInt(this.relation().match(/cell([0-9]*)$/)[1])+1;for(;e<t;){if($e(this.parent().array,e)&&this.setSelection(0,0,"cell"+e))return void this.selectionDidChange();e+=1}}if(1===this.path.length)(this.suppressChangeNotifications||!this.config.onMoveOutOf||this.config.onMoveOutOf(this,"forward"))&&(this.path[0].offset=0);else{const e=!t.iterateAll&&this.parent().skipBoundary;this.path.pop(),e&&this.next(t)}return void this.selectionDidChange()}this.setSelection(this.anchorOffset()+1);const s=this.anchor();if(s&&!s.captureSelection){let i;if(s.array){let t=0;i="";const e=We(s.array);for(;!i&&t<e;)$e(s.array,t)&&(i="cell"+t.toString()),t+=1;return this.path.push({relation:i,offset:0}),void this.setSelection(0,0,i)}for(i="body";i;){if(Array.isArray(s[i]))return 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1===this.path.length?(this.suppressChangeNotifications||!this.config.onMoveOutOf||this.config.onMoveOutOf.bind(this)(-1))&&(this.path[0].offset=this.root.body.length-1):(this.path.pop(),this.setSelection(this.anchorOffset()-1)),void this.selectionDidChange()}const s=this.anchor();if(!s.captureSelection){let t;if(s.array){t="";const e=We(s.array);let i=e-1;for(;!t&&i<e;)$e(s.array,i)&&(t="cell"+i.toString()),i-=1;return i+=1,this.path.push({relation:t,offset:$e(s.array,i).length-1}),void this.setSelection(-1,0,t)}for(t="superscript";t;){if(Array.isArray(s[t]))return this.path.push({relation:t,offset:s[t].length-1}),void this.setSelection(-1,0,t);t=e[t]}}this.setSelection(this.anchorOffset()-1),!t.iterateAll&&this.sibling(0)&&this.sibling(0).skipBoundary&&this.previous(t)},Re.prototype.move=function(t,e){const s=(e=e||{extend:!1}).extend||!1;if(this.removeSuggestion(),s)this.extend(t,e);else{const e=Oe(this);if(t>0)for(this.collapseForward()&&t--;t>0;)this.next(),t--;else if(t<0)for(this.collapseBackward()&&t++;0!==t;)this.previous(),t++;this._announce("move",e)}},Re.prototype.up=function(t){const e=(t=t||{extend:!1}).extend||!1;this.collapseBackward();const s=this.relation();if("denom"===s)e?(this.selectionWillChange(),this.path.pop(),this.path[this.path.length-1].offset-=1,this.setExtent(1),this.selectionDidChange()):this.setSelection(this.anchorOffset(),0,"numer"),this._announce("moveUp");else if(this.parent().array){let e=Ne(this.parent().array,s);(e=He(this.parent().array,e,-1))&&$e(e)?(this.path[this.path.length-1].relation="cell"+Ke(this.parent().array,e),this.setSelection(this.anchorOffset()),this._announce("moveUp")):this.move(-1,t)}else this._announce("line")},Re.prototype.down=function(t){const e=(t=t||{extend:!1}).extend||!1;this.collapseForward();const s=this.relation();if("numer"===s)e?(this.selectionWillChange(),this.path.pop(),this.path[this.path.length-1].offset-=1,this.setExtent(1),this.selectionDidChange()):this.setSelection(this.anchorOffset(),0,"denom"),this._announce("moveDown");else if(this.parent().array){let e=Ne(this.parent().array,s);(e=He(this.parent().array,e,1))&&$e(e)?(this.path[this.path.length-1].relation="cell"+Ke(this.parent().array,e),this.setSelection(this.anchorOffset()),this._announce("moveDown")):this.move(1,t)}else this._announce("line")},Re.prototype.extend=function(t){let e=this.path[this.path.length-1].offset,s=0;const i=Oe(this),a=e+(s=this.extent+t);if(a<0&&0!==s){if(this.path.length>1)return this.selectionWillChange(),this.path.pop(),this.setExtent(-1),this.selectionDidChange(),void this._announce("move",i);e=this.path[this.path.length-1].offset,s=this.extent}else if(a>=this.siblings().length){if(this.path.length>1)return this.selectionWillChange(),this.path.pop(),this.path[this.path.length-1].offset-=1,this.setExtent(1),this.selectionDidChange(),void this._announce("move",i);this.isCollapsed()&&(e-=1),s-=1}this.setSelection(e,s),this._announce("move",i)},Re.prototype.skip=function(t,e){const s=(e=e||{extend:!1}).extend||!1;t=t<0?-1:1;const i=Oe(this),a=this.siblings(),o=this.focusOffset();let n=o+t;if(s&&(n=Math.min(Math.max(0,n),a.length-1)),n<0||n>=a.length)this.move(t,e);else{if(a[n]&&"text"===a[n].mode){if((n=this.wordBoundaryOffset(n,t))<0&&!s)return void this.setSelection(0);if(n>a.length)return this.setSelection(a.length-1),void this.move(t,e)}else{const e=a[n]?a[n].type:"";if("mopen"===e&&t>0||"mclose"===e&&t<0){let s="mopen"===e?1:-1;for(n+=t>0?1:-1;n>=0&&n<a.length&&0!==s;)"mopen"===a[n].type?s+=1:"mclose"===a[n].type&&(s-=1),n+=t;0!==s&&(n=o+t),t>0&&(n-=1)}else{for(;a[n]&&"math"===a[n].mode&&a[n].type===e;)n+=t;n-=t>0?1:0}}if(s){const t=this.anchorOffset();this.setSelection(t,n-t)}else this.setSelection(n);this._announce("move",i)}},Re.prototype.jump=function(t,e){const s=(e=e||{extend:!1}).extend||!1;t=t<0?-1:1;const i=this.siblings();let a=this.focusOffset();t>0&&(a=Math.min(a+1,i.length-1));const o=t<0?0:i.length-1;s?this.extend(o-a):this.move(o-a)},Re.prototype.jumpToMathFieldBoundary=function(t,e){const s=(e=e||{extend:!1}).extend||!1;t=(t=t||1)<0?-1:1;const i=Oe(this),a=[{relation:"body",offset:this.path[0].offset}];let o;s?t<0?a[0].offset>0&&(o=-a[0].offset):a[0].offset<this.siblings().length-1&&(o=this.siblings().length-1-a[0].offset):(a[0].offset=t<0?0:this.root.body.length-1,o=0),this.setPath(a,o),this._announce("move",i)},Re.prototype.leap=function(t,e){t=(t=t||1)<0?-1:1,e=e||!0;const s=Oe(this);this.move(t),"placeholder"===this.anchor().type&&this.move(t);const i=this.filter((t,e)=>"placeholder"===e.type||t.length>1&&1===this.siblings().length,t);if(0===i.length){if(e)if(this.config.onTabOutOf)this.config.onTabOutOf(this.target,t>0?"forward":"backward");else if(document.activeElement){const e='a[href]:not([disabled]),\n                    button:not([disabled]),\n                    textarea:not([disabled]),\n                    input[type=text]:not([disabled]),\n                    select:not([disabled]),\n                    [contentEditable="true"],\n                    [tabindex]:not([disabled]):not([tabindex="-1"])',s=Array.prototype.filter.call(document.querySelectorAll(e),t=>(t.offsetWidth>0||t.offsetHeight>0)&&!t.contains(document.activeElement)||t===document.activeElement);let i=s.indexOf(document.activeElement)+t;i<0&&(i=s.length-1),i>=s.length&&(i=0),s[i].focus()}return!1}return this.setPath(i[0]),"placeholder"===this.anchor().type&&this.setExtent(-1),this._announce("move",s),!0},Re.prototype.anchorMode=function(){const t=this.isCollapsed()?this.anchor():this.sibling(1);let e;if(t){if("commandliteral"===t.type||"command"===t.type)return"command";e=t.mode}let s=1,i=this.ancestor(s);for(;!e&&i;)i&&(e=i.mode),s+=1,i=this.ancestor(s);return e},Re.prototype.anchorStyle=function(){const t=this.isCollapsed()?this.anchor():this.sibling(1);let e;if(t&&"first"!==t.type){if("commandliteral"===t.type||"command"===t.type)return{};e={color:t.color,backgroundColor:t.backgroundColor,fontFamily:t.fontFamily,fontShape:t.fontShape,fontSeries:t.fontSeries}}let s=1,i=this.ancestor(s);for(;!e&&i;)i&&(e={color:i.color,backgroundColor:i.backgroundColor,fontFamily:i.fontFamily,fontShape:i.fontShape,fontSeries:i.fontSeries}),s+=1,i=this.ancestor(s);return e},Re.prototype.simplifyParen=function(t){t&&this.config.removeExtraneousParentheses&&t.forEach(t=>{if("genfrac"===t.type&&(this.simplifyParen(t.numer),this.simplifyParen(t.denom),t.numer=je(t.numer),t.denom=je(t.denom)),t.superscript&&(this.simplifyParen(t.superscript),t.superscript=je(t.superscript)),t.subscript&&(this.simplifyParen(t.subscript),t.subscript=je(t.subscript)),t.underscript&&(this.simplifyParen(t.underscript),t.underscript=je(t.underscript)),t.overscript&&(this.simplifyParen(t.overscript),t.overscript=je(t.overscript)),t.index&&(this.simplifyParen(t.index),t.index=je(t.index)),"surd"===t.type?(this.simplifyParen(t.body),t.body=je(t.body)):t.body&&Array.isArray(t.body)&&this.simplifyParen(t.body),t.array)for(let e=We(t.array);e>=0;e--)this.simplifyParen($e(t.array,e))})},Re.prototype.insert=function(t,e){e=e||{};const s=this.suppressChangeNotifications;e.suppressChangeNotifications&&(this.suppressChangeNotifications=!0),this.contentWillChange();const i=this.suppressChangeNotifications;this.suppressChangeNotifications=!0,e.insertionMode||(e.insertionMode="replaceSelection"),e.selectionMode||(e.selectionMode="placeholder"),e.format||(e.format="auto"),e.macros=e.macros||this.config.macros;const a=e.mode||this.anchorMode();let o;const n=[this.getSelectedAtoms()];void 0!==e.placeholder&&(n["?"]=e.placeholder),"replaceSelection"!==e.insertionMode||this.isCollapsed()?"replaceAll"===e.insertionMode?(this.root.body.splice(1),this.path=[{relation:"body",offset:0}],this.extent=0):"insertBefore"===e.insertionMode?this.collapseBackward():"insertAfter"===e.insertionMode&&this.collapseForward():this.delete_();const r=this.siblings(),l=this.startOffset();if(l+1<r.length&&r[l+1]&&"placeholder"===r[l+1].type?this.delete_(1):l>0&&r[l]&&"placeholder"===r[l].type&&this.delete_(-1),"math"===a&&"ASCIIMath"===e.format)t=Ze(t,{...this.config,format:"ASCIIMath"}),o=Ce.parseTokens(x.tokenize(t),"math",null,e.macros,!1),this.simplifyParen(o);else if("text"!==a&&"auto"===e.format)if("command"===a){o=[];for(const e of t)Nt.COMMAND_MODE_CHARACTERS.test(e)&&o.push(new ge.MathAtom("command","command",e))}else""===t?o=[new ge.MathAtom("command","command","\\")]:(t=Ze(t,this.config),n[0]?t=t.replace(/(^|[^\\])#@/g,"$1#0"):/(^|[^\\])#@/.test(t)?(t=t.replace(/(^|[^\\])#@/g,"$1#0"),n[0]=this.extractArgBeforeInsertionPoint(),this._deleteAtoms(-n[0].length),Array.isArray(n[0])&&0===n[0].length&&(n[0]=void 0)):t=t.replace(/(^|[^\\])#@/g,"$1#?"),o=Ce.parseTokens(x.tokenize(t),a,n,e.macros,e.smartFence),this.simplifyParen(o));else"latex"===e.format?o=Ce.parseTokens(x.tokenize(t),a,n,e.macros,e.smartFence):"text"!==a&&"text"!==e.format||(t=(t=(t=(t=(t=(t=(t=(t=(t=(t=(t=t.replace(/\\/g,"\\textbackslash ")).replace(/#/g,"\\#")).replace(/\$/g,"\\$")).replace(/%/g,"\\%")).replace(/&/g,"\\&")).replace(/_/g,"\\_")).replace(/{/g,"\\textbraceleft ")).replace(/}/g,"\\textbraceright ")).replace(/\^/g,"\\textasciicircum ")).replace(/~/g,"\\textasciitilde ")).replace(/£/g,"\\textsterling "),o=Ce.parseTokens(x.tokenize(t),"text",n,e.macros,!1));if(function t(e,s){e&&s&&(Array.isArray(e)?e.forEach(e=>t(e,s)):"object"==typeof e&&(e.color||e.backgroundColor||e.fontFamily||e.fontShape||e.fontSeries||(e.applyStyle(s),t(e.body,s),t(e.numer,s),t(e.denom,s),t(e.index,s),t(e.overscript,s),t(e.underscript,s),t(e.subscript,s),t(e.superscript,s))))}(o,e.style),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset()+1,0].concat(o)),this.insertFirstAtom(),this.suppressChangeNotifications=i,"placeholder"===e.selectionMode){let t=[];for(const e of o)t=t.concat(e.filter(t=>"placeholder"===t.type));0!==t.length&&this.leap(1,!1)?this._announce("move"):this.setSelection(this.anchorOffset()+o.length)}else"before"===e.selectionMode||("after"===e.selectionMode?this.setSelection(this.anchorOffset()+o.length):"item"===e.selectionMode&&this.setSelection(this.anchorOffset(),o.length));this.contentDidChange(),this.suppressChangeNotifications=s},Re.prototype._insertSmartFence=function(t,e){if(!this.config.smartFence)return!1;const s=this.parent();if("leftright"===s.type&&"|"!==s.leftDelim&&/\||\\vert|\\Vert|\\mvert|\\mid/.test(t))return this.insert("\\,\\middle"+t+"\\, ",{mode:"math",format:"latex",style:e}),!0;"{"!==t&&"\\{"!==t||(t="\\lbrace"),"}"!==t&&"\\}"!==t||(t="\\rbrace"),"["!==t&&"\\["!==t||(t="\\lbrack"),"]"!==t&&"\\]"!==t||(t="\\rbrack");const i=Nt.RIGHT_DELIM[t];if(i&&("leftright"!==s.type||"|"!==s.leftDelim)){let s="";const a=this.isCollapsed()||"placeholder"===this.anchor().type;return s=this.sibling(0).isFunction?"\\mleft"+t+"\\mright":"\\left"+t+"\\right",s+=a?"?":i,this.insert(s,{mode:"math",format:"latex",style:e}),a&&this.move(-1),!0}let a;for(const e in Nt.RIGHT_DELIM)Nt.RIGHT_DELIM.hasOwnProperty(e)&&t===Nt.RIGHT_DELIM[e]&&(a=e);if(a){if(s&&"leftright"===s.type&&this.endOffset()===this.siblings().length-1)return this.contentWillChange(),s.rightDelim=t,this.move(1),this.contentDidChange(),!0;const i=this.siblings();let a;for(a=this.endOffset();a>=0&&("leftright"!==i[a].type||"?"!==i[a].rightDelim);a--);if(a>=0)return this.contentWillChange(),i[a].rightDelim=t,i[a].body=i[a].body.concat(i.slice(a+1,this.endOffset()+1)),i.splice(a+1,this.endOffset()-a),this.setSelection(a),this.contentDidChange(),!0;if(s&&"leftright"===s.type&&"?"===s.rightDelim){this.contentWillChange(),s.rightDelim=t;const e=i.slice(this.endOffset()+1);return i.splice(this.endOffset()+1),this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.endOffset()+1,0].concat(e)),this.contentDidChange(),!0}const o=this.ancestor(2);return o&&"leftright"===o.type&&"?"===o.rightDelim&&this.endOffset()===i.length-1?(this.move(1),this._insertSmartFence(t,e)):(this.insert(t,{mode:"math",format:"latex",style:e}),!0)}return!1},Re.prototype.positionInsertionPointAfterCommitedCommand=function(){const t=this.siblings(),e=this.commandOffsets();let s=e.start;for(;s<e.end&&!t[s].suggestion;)s++;this.setSelection(s-1)},Re.prototype.removeSuggestion=function(){const t=this.siblings();for(let e=t.length-1;e>=0;e--)t[e].suggestion&&t.splice(e,1)},Re.prototype.insertSuggestion=function(t,e){this.removeSuggestion();const s=[],i=t.substr(e);for(const t of i){const e=new ge.MathAtom("command","command",t);e.suggestion=!0,s.push(e)}Array.prototype.splice.apply(this.siblings(),[this.anchorOffset()+1,0].concat(s))},Re.prototype._deleteAtoms=function(t){t>0?this.siblings().splice(this.anchorOffset()+1,t):(this.siblings().splice(this.anchorOffset()+t+1,-t),this.setSelection(this.anchorOffset()+t))},Re.prototype.delete=function(t){if(0===(t=t||0))this.delete_(0);else if(t>0)for(;t>0;)this.delete_(1),t--;else for(;t<0;)this.delete_(-1),t++},Re.prototype.delete_=function(t){this.contentWillChange();const e=this.suppressChangeNotifications;if(this.suppressChangeNotifications=!0,t=(t=t||0)<0?-1:t>0?1:t,this.removeSuggestion(),this.parent().array&&t<0&&0===this.startOffset()){const t=this.parent().array;if(function(t){const e={col:0,row:0};for(;e.row<t.length&&!$e(t,e);)e.row+=1;return $e(t,e)?"cell"+Ke(t,e):""}(t)===this.relation()){const e=function(t,e,s){e||(e=[";",","]);let i,a=[];for(const o of t)i?a.push(i):i=new ge.MathAtom("math","mpunct",e[0],s),a=a.concat(Ve(o,e[1]));return a}(t);this.path.pop(),this.siblings().splice(this.anchorOffset(),1,...e),this.setSelection(this.anchorOffset()-1,e.length)}else{const e=Ne(t,this.relation());if(0===e.col){const s=He(t,e,-1);s.col=t[s.row].length-1,this.path[this.path.length-1].relation="cell"+Ke(t,s);const i=t[s.row][s.col].length,a=Ve(t[e.row]);t[s.row][s.col]=t[s.row][s.col].concat(a),this.setSelection(i-1,a.length),function(t,e){t.splice(e,1)}(t,e.row)}else if(0===function(t,e){let s=0;const i={col:e,row:0};for(;i.row<t.length;){const e=$e(t,i);if(e&&e.length>0){let t=e.length;"first"===e[0].type&&(t-=1),t>0&&(s+=1)}i.row+=1}return s}(t,e.col)){!function(t,e){let s=0;for(;s<t.length;)t[s][e]&&t[s].splice(e,1),s+=1}(t,e.col),e.col-=1,this.path[this.path.length-1].relation="cell"+Ke(t,e);const s=t[e.row][e.col];this.setSelection(s.length-1,0)}}return this.suppressChangeNotifications=e,void this.contentDidChange()}const s=this.siblings();if(this.isCollapsed()){const e=this.anchorOffset();if(t<0)if(0!==e){const t=this.sibling(0);"leftright"===t.type?(t.rightDelim="?",this.move(-1)):!t.captureSelection&&/^(group|array|genfrac|surd|leftright|overlap|overunder|box|mathstyle|sizing)$/.test(t.type)?this.move(-1):(this._announce("delete",null,s.slice(e,e+1)),s.splice(e,1),this.setSelection(e-1))}else{const t=this.relation();if("superscript"===t||"subscript"===t){const e=this.parent()[t].filter(t=>"placeholder"!==t.type&&"first"!==t.type);this.parent()[t]=null,this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),0].concat(e)),this.setSelection(this.anchorOffset()-1),this._announce("deleted: "+t)}else if("denom"===t){const t=this.parent().numer.filter(t=>"placeholder"!==t.type&&"first"!==t.type),e=this.parent().denom.filter(t=>"placeholder"!==t.type&&"first"!==t.type);this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),1].concat(e)),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),0].concat(t)),this.setSelection(this.anchorOffset()+t.length-1),this._announce("deleted: denominator")}else if("body"===t){const t=this.siblings().filter(t=>"placeholder"!==t.type);this.path.length>1&&(t.shift(),this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),1].concat(t)),this.setSelection(this.anchorOffset()-1),this._announce("deleted: root"))}else this.move(-1),this.delete(-1)}else if(t>0)if(e!==s.length-1)/^(group|array|genfrac|surd|leftright|overlap|overunder|box|mathstyle|sizing)$/.test(this.sibling(1).type)?this.move(1):(this._announce("delete",null,s.slice(e+1,e+2)),s.splice(e+1,1));else{if("numer"===this.relation()){const t=this.parent().numer.filter(t=>"placeholder"!==t.type&&"first"!==t.type),e=this.parent().denom.filter(t=>"placeholder"!==t.type&&"first"!==t.type);this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),1].concat(e)),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),0].concat(t)),this.setSelection(this.anchorOffset()+t.length-1),this._announce("deleted: numerator")}else this.move(1),this.delete(1)}}else{const 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is"},{latex:"\\nexists",aside:"there isn’t"},{latex:"\\ni",aside:"such that"},{latex:"\\Colon",aside:"such that"},{latex:"\\implies",aside:"implies"},{latex:"\\impliedby",aside:"implied by"},{latex:"\\iff",aside:"if and only if"},{latex:"\\land",aside:"and"},{latex:"\\lor",aside:"or"},{latex:"\\oplus",aside:"xor"},{latex:"\\lnot",aside:"not"},{latex:"\\downarrow",aside:"nor"},{latex:"\\uparrow",aside:"nand"},{latex:"\\curlywedge",aside:"nor"},{latex:"\\bar\\curlywedge",aside:"nand"},{latex:"\\therefore",aside:"therefore"},{latex:"\\because",aside:"because"},{latex:"^\\biconditional",aside:"biconditional"},"\\leftrightarrow","\\Leftrightarrow","\\to","\\models","\\vdash","\\gets","\\dashv","\\roundimplies"],"set-operators":["\\cap","\\cup","\\setminus","\\smallsetminus","\\complement"],"set-relations":["\\in","\\notin","\\ni","\\owns","\\subset","\\supset","\\subseteq","\\supseteq","\\subsetneq","\\supsetneq","\\varsubsetneq","\\subsetneqq","\\nsubset","\\nsupset","\\nsubseteq","\\nsupseteq"],space:[{latex:'\\char"203A\\!\\char"2039',insert:"\\!",aside:"negative thin space<br>⁻³⧸₁₈ em"},{latex:'\\unicode{"203A}\\,\\unicode{"2039}',insert:"\\,",aside:"thin space<br>³⧸₁₈ em"},{latex:'\\unicode{"203A}\\:\\unicode{"2039}',insert:"\\:",aside:"medium space<br>⁴⧸₁₈ em"},{latex:'\\unicode{"203A}\\;\\unicode{"2039}',insert:"\\;",aside:"thick space<br>⁵⧸₁₈ em"},{latex:'\\unicode{"203A}\\ \\unicode{"2039}',insert:"\\ ",aside:"⅓ em"},{latex:'\\unicode{"203A}\\enspace\\unicode{"2039}',insert:"\\enspace",aside:"½ em"},{latex:'\\unicode{"203A}\\quad\\unicode{"2039}',insert:"\\quad",aside:"1 em"},{latex:'\\unicode{"203A}\\qquad\\unicode{"2039}',insert:"\\qquad",aside:"2 em"}],delete:[{label:'<span class="warning"><svg><use xlink:href="#svg-trash" /></svg></span>',command:'"deleteAll"'}],"->|":[]};let bs={};const xs={math:"\n        <div class='rows'>\n            <ul>\n                <li class='keycap tex' data-alt-keys='x-var'><i>x</i></li>\n                <li class='keycap tex' data-alt-keys='n-var'><i>n</i></li>\n                <li class='separator w5'></li>\n                <row name='numpad-1'/>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-key='ee' data-alt-keys='ee'>e</li>\n                <li class='keycap tex' data-key='ii' data-alt-keys='ii'>i</li>\n                <li class='keycap tex' data-latex='\\pi' data-alt-keys='numeric-pi'></li>\n            </ul>\n            <ul>\n                <li class='keycap tex' data-key='<' data-alt-keys='<'>&lt;</li>\n                <li class='keycap tex' data-key='>' data-alt-keys='>'>&gt;</li>\n                <li class='separator w5'></li>\n                <row name='numpad-2'/>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-alt-keys='x2' data-insert='#@^{2}'><span><i>x</i>&thinsp;²</span></li>\n                <li class='keycap tex' data-alt-keys='^' data-insert='#@^{#?}'><span><i>x</i><sup>&thinsp;<small>&#x2b1a;</small></sup></span></li>\n                <li class='keycap tex' data-alt-keys='sqrt' data-insert='\\sqrt{#0}' data-latex='\\sqrt{#0}'></li>\n            </ul>\n            <ul>\n                <li class='keycap tex' data-alt-keys='(' >(</li>\n                <li class='keycap tex' data-alt-keys=')' >)</li>\n                <li class='separator w5'></li>\n                <row name='numpad-3'/>\n                <li class='separator w5'></li>\n                <li class='keycap tex small' data-alt-keys='int' data-latex='\\int_0^\\infty'><span></span></li>\n                <li class='keycap tex' data-latex='\\forall' data-alt-keys='logic' ></li>\n                <li class='action font-glyph bottom right' data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'>&#x232b;</li></ul>\n            </ul>\n            <ul>\n                <li class='keycap' data-alt-keys='foreground-color' data-command='[\"applyStyle\",{\"color\":\"#cc2428\"}]'><span style='border-radius: 50%;width:22px;height:22px; border: 3px solid #cc2428; box-sizing: border-box'></span></li>\n                <li class='keycap' data-alt-keys='background-color' data-command='[\"applyStyle\",{\"backgroundColor\":\"#fff590\"}]'><span style='border-radius: 50%;width:22px;height:22px; background:#fff590; box-sizing: border-box'></span></li>\n                <li class='separator w5'></li>\n                <row name='numpad-4'/>\n                <li class='separator w5'></li>\n                <arrows/>\n            </ul>\n        </div>\n    ","lower-roman":"\n        <div class='rows'>\n            <ul>\n                <row name='numpad-1' class='if-wide'/>\n                <row name='lower-1' shift-layer='upper-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-2' class='if-wide'/>\n                <row name='lower-2'  shift-layer='upper-roman''/>\n            </ul>\n            <ul>\n                <row name='numpad-3' class='if-wide'/>\n                <row name='lower-3'  shift-layer='upper-roman''/>\n            </ul>\n            <ul>\n                <row name='numpad-4' class='if-wide'/>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='symbols'>&infin;≠</li>\n                <li class='keycap' data-alt-keys=','>,</li>\n                <li class='keycap w50' data-key=' ' data-alt-keys='space'>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","upper-roman":"\n        <div class='rows'>\n            <ul>\n                <row name='numpad-1' class='if-wide'/>\n                <row name='upper-1'  shift-layer='lower-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-2' class='if-wide'/>\n                <row name='upper-2' shift-layer='lower-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-3' class='if-wide'/>\n                <row name='upper-3' shift-layer='lower-roman'/>\n            </ul>\n            <ul>\n                <row name='numpad-4' class='if-wide'/>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='symbols'>&infin;≠</li>\n                <li class='keycap' data-alt-keys='.'>;</li>\n                <li class='keycap w50' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>",symbols:"\n        <div class='rows'>\n            <ul>\n                <row name='numpad-1' class='if-wide'/>\n                <li class='keycap tex' data-alt-keys='(' data-insert='\\lbrace '>{</li>\n                <li class='keycap tex' data-alt-keys=')' data-insert='\\rbrace '>}</li>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-alt-keys='set' data-insert='\\in '>&#x2208;</li>\n                <li class='keycap tex' data-alt-keys='!set' data-insert='\\notin '>&#x2209;</li>\n                <li class='keycap tex' data-insert='\\Re '>&#x211c;<aside>Real</aside></li>\n                <li class='keycap tex' data-insert='\\Im '>&#x2111;<aside>Imaginary</aside></li>\n                <li class='keycap w15' data-insert='\\ulcorner#0\\urcorner '><span><sup>&#x250c;</sup><span><span style='color:#ddd'>o</span><sup>&#x2510;</sup></span><aside>ceil</aside></li>\n                <li class='keycap tex' data-alt-keys='nabla' data-insert='\\nabla '>&#x2207;<aside>nabla</aside></li>\n                <li class='keycap tex' data-alt-keys='infinity' data-insert='\\infty '>&#x221e;</li>\n\n            </ul>\n            <ul>\n                <row name='numpad-2' class='if-wide'/>\n                <li class='keycap tex' data-alt-keys='(' data-insert='\\lbrack '>[</li>\n                <li class='keycap tex' data-alt-keys=')' data-insert='\\rbrack '>]</li>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-alt-keys='subset' data-insert='\\subset '>&#x2282;</li>\n                <li class='keycap tex' data-alt-keys='supset' data-insert='\\supset '>&#x2283;</li>\n                <li class='keycap tex' data-key='!' data-alt-keys='!'>!<aside>factorial</aside></li>\n                <li class='keycap' data-insert='^{\\prime} '><span><sup><span><span style='color:#ddd'>o</span>&#x2032</sup></span><aside>prime</aside></li>\n                <li class='keycap w15' data-insert='\\llcorner#0\\lrcorner '><span><sub>&#x2514;</sub><span style='color:#ddd'>o</span><sub>&#x2518;</sub></span><aside>floor</aside></li>\n                <li class='keycap tex' data-insert='\\partial '>&#x2202;<aside>partial<br>derivative</aside></li>\n                <li class='keycap tex' data-insert='\\emptyset '>&#x2205;<aside>empty set</aside></li>\n\n            </ul>\n            <ul>\n                <row name='numpad-3' class='if-wide'/>\n                <li class='keycap tex' data-alt-keys='(' data-insert='\\langle '>&#x27e8;</li>\n                <li class='keycap tex' data-alt-keys=')' data-insert='\\rangle '>&#x27e9;</li>\n                <li class='separator w5'></li>\n                <li class='keycap tex' data-insert='\\subseteq '>&#x2286;</li>\n                <li class='keycap tex' data-insert='\\supseteq '>&#x2287;</li>\n                <li class='keycap tex' data-alt-keys='accents' data-insert='\\vec{#@}' data-latex='\\vec{#?}' data-aside='vector'></li>\n                <li class='keycap tex' data-alt-keys='accents' data-insert='\\bar{#@}' data-latex='\\bar{#?}' data-aside='bar'></li>\n                <li class='keycap tex' data-alt-keys='absnorm' data-insert='\\lvert #@ \\rvert ' data-latex='\\lvert #? \\rvert' data-aside='abs'></li>\n                <li class='keycap tex' data-insert='\\ast '>&#x2217;<aside>asterisk</aside></li>\n\n                <li class='action font-glyph bottom right w15'\n                    data-shifted='<span class=\"warning\"><svg><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'\n                >&#x232b;</li>\n            </ul>\n            <ul>\n                <row name='numpad-4' class='if-wide'/>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='lower-roman'>abc</li>\n                <li class='keycap tex' data-insert='\\cdot '>&#x22c5;<aside>centered dot</aside></li>\n                <li class='keycap tex' data-insert='\\colon '>:<aside>colon</aside></li>\n                <li class='keycap tex' data-insert='\\circ '>&#x2218;<aside>circle</aside></li>\n                <li class='keycap tex' data-insert='\\approx '>&#x2248;<aside>approx.</aside></li>\n                <li class='keycap tex' data-insert='\\ne '>&#x2260;</li>\n                <li class='keycap tex' data-insert='\\pm '>&#x00b1;</li>\n                <arrows/>\n            </ul>\n        </div>","lower-greek":"\n        <div class='rows'>\n            <ul><li class='keycap tex' data-insert='\\varphi '><i>&#x03c6;</i><aside>phi var.</aside></li>\n                <li class='keycap tex' data-insert='\\varsigma '><i>&#x03c2;</i><aside>sigma var.</aside></li>\n                <li class='keycap tex' data-insert='\\epsilon '><i>&#x03f5;</i></li>\n                <li class='keycap tex' data-insert='\\rho '><i>&rho;</i></li>\n                <li class='keycap tex' data-insert='\\tau '><i>&tau;</i></li>\n                <li class='keycap tex' data-insert='\\upsilon '><i>&upsilon;</i></li>\n                <li class='keycap tex' data-insert='\\theta '><i>&theta;</i></li>\n                <li class='keycap tex' data-insert='\\iota '><i>&iota;</i></li>\n                <li class='keycap tex' data-insert='\\omicron '>&omicron;</i></li>\n                <li class='keycap tex' data-insert='\\pi '><i>&pi;</i></li>\n            </ul>\n            <ul><li class='keycap tex' data-insert='\\alpha ' data-shifted='&Alpha;' data-shifted-command='[\"insert\",\"{\\\\char\\\"391}\"]'><i>&alpha;</i></li>\n                <li class='keycap tex' data-insert='\\sigma '><i>&sigma;</i></li>\n                <li class='keycap tex' data-insert='\\delta '><i>&delta;</i></li>\n                <li class='keycap tex' data-insert='\\phi '><i>&#x03d5;</i></i></li>\n                <li class='keycap tex' data-insert='\\gamma '><i>&gamma;</i></li>\n                <li class='keycap tex' data-insert='\\eta '><i>&eta;</i></li>\n                <li class='keycap tex' data-insert='\\xi '><i>&xi;</i></li>\n                <li class='keycap tex' data-insert='\\kappa '><i>&kappa;</i></li>\n                <li class='keycap tex' data-insert='\\lambda '><i>&lambda;</i></li>\n            </ul>\n            <ul><li class='shift modifier font-glyph bottom left w15 layer-switch' data-layer='upper-greek'>&#x21e7;</li>\n                <li class='keycap tex' data-insert='\\zeta '><i>&zeta;</i></li>\n                <li class='keycap tex' data-insert='\\chi '><i>&chi;</i></li>\n                <li class='keycap tex' data-insert='\\psi '><i>&psi;</i></li>\n                <li class='keycap tex' data-insert='\\omega '><i>&omega;</i></li>\n                <li class='keycap tex' data-insert='\\beta '><i>&beta;</i></li>\n                <li class='keycap tex' data-insert='\\nu '><i>&nu;</i></li>\n                <li class='keycap tex' data-insert='\\mu '><i>&mu;</i></li>\n                <li class='action font-glyph bottom right w15'\n                    data-shifted='<span class=\"warning\"><svg><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'\n                >&#x232b;</li>\n            </ul>\n            <ul>\n                <li class='keycap ' data-key=' '>&nbsp;</li>\n                <li class='keycap'>,</li>\n                <li class='keycap tex' data-insert='\\varepsilon '><i>&#x03b5;</i><aside>epsilon var.</aside></li>\n                <li class='keycap tex' data-insert='\\vartheta '><i>&#x03d1;</i><aside>theta var.</aside></li>\n                <li class='keycap tex' data-insert='\\varkappa '><i>&#x3f0;</i><aside>kappa var.</aside></li>\n                <li class='keycap tex' data-insert='\\varpi '><i>&#x03d6;<aside>pi var.</aside></i></li>\n                <li class='keycap tex' data-insert='\\varrho '><i>&#x03f1;</i><aside>rho var.</aside></li>\n                <arrows/>\n            </ul>\n        </div>","upper-greek":"\n        <div class='rows'>\n            <ul><li class='keycap tex' data-insert='\\Phi '>&Phi;<aside>phi</aside></li>\n                <li class='keycap tex' data-insert='\\Sigma '>&Sigma;<aside>sigma</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"0190}'>&#x0190;<aside>epsilon</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"3A1}'>&#x3A1;<aside>rho</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"3A4}'>&#x3A4;<aside>tau</aside></li>\n                <li class='keycap tex' data-insert='\\Upsilon '>&Upsilon;<aside>upsilon</aside></li>\n                <li class='keycap tex' data-insert='\\Theta '>&Theta;<aside>theta</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"399}'>&Iota;<aside>iota</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"39F}'>&#x039F;<aside>omicron</aside></li>\n                <li class='keycap tex' data-insert='\\Pi '>&Pi;<aside>pi</aside></li></ul>\n            <ul><li class='keycap tex' data-insert='{\\char\"391}'>&#x391;<aside>alpha</aside></li>\n                <li class='keycap tex' data-insert='\\Sigma '>&Sigma;<aside>sigma</aside></li>\n                <li class='keycap tex' data-insert='\\Delta '>&Delta;<aside>delta</aside></li>\n                <li class='keycap tex' data-insert='\\Phi '>&#x03a6;<aside>phi</aside></li>\n                <li class='keycap tex' data-insert='\\Gamma '>&Gamma;<aside>gamma</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"397}'>&Eta;<aside>eta</aside></li>\n                <li class='keycap tex' data-insert='\\Xi '>&Xi;<aside>xi</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"39A}'>&Kappa;<aside>kappa</aside></li>\n                <li class='keycap tex' data-insert='\\Lambda '>&Lambda;<aside>lambda</aside></li></ul>\n            <ul><li class='shift modifier font-glyph bottom left selected w15 layer-switch' data-layer='lower-greek'>&#x21e7;</li>\n                <li class='keycap tex' data-insert='{\\char\"396}'>&Zeta;<aside>zeta</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"3A7}'>&Chi;<aside>chi</aside></li>\n                <li class='keycap tex' data-insert='\\Psi '>&Psi;<aside>psi</aside></li>\n                <li class='keycap tex' data-insert='\\Omega '>&Omega;<aside>omega</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"392}'>&Beta;<aside>beta</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"39D}'>&Nu;<aside>nu</aside></li>\n                <li class='keycap tex' data-insert='{\\char\"39C}'>&Mu;<aside>mu</aside></li>\n                <li class='action font-glyph bottom right w15' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'>&#x232b;</li></ul>\n            <ul>\n                <li class='separator w10'>&nbsp;</li>\n                <li class='keycap'>.</li>\n                <li class='keycap w50' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","lower-command":"\n        <div class='rows'>\n            <ul><row name='lower-1' class='tt' shift-layer='upper-command'/></ul>\n            <ul><row name='lower-2' class='tt' shift-layer='upper-command'/></ul>\n            <ul><row name='lower-3' class='tt' shift-layer='upper-command'/></ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='symbols-command'>01#</li>\n                <li class='keycap tt' data-shifted='[' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \"[\"]'>{</li>\n                <li class='keycap tt' data-shifted=']' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \"]\"]'>}</li>\n                <li class='keycap tt' data-shifted='(' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \"(\"]'>^</li>\n                <li class='keycap tt' data-shifted=')' data-shifted-command='[\"insertAndUnshiftKeyboardLayer\", \")\"]'>_</li>\n                <li class='keycap w20' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","upper-command":"\n        <div class='rows'>\n            <ul><row name='upper-1' class='tt' shift-layer='lower-command'/></ul>\n            <ul><row name='upper-2' class='tt' shift-layer='lower-command'/></ul>\n            <ul><row name='upper-3' class='tt' shift-layer='lower-command'/></ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='symbols-command'01#</li>\n                <li class='keycap tt'>[</li>\n                <li class='keycap tt'>]</li>\n                <li class='keycap tt'>(</li>\n                <li class='keycap tt'>)</li>\n                <li class='keycap w20' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>","symbols-command":"\n        <div class='rows'>\n            <ul><li class='keycap tt'>1</li><li class='keycap tt'>2</li><li class='keycap tt'>3</li><li class='keycap tt'>4</li><li class='keycap tt'>5</li><li class='keycap tt'>6</li><li class='keycap tt'>7</li><li class='keycap tt'>8</li><li class='keycap tt'>9</li><li class='keycap tt'>0</li></ul>\n            <ul><li class='keycap tt'>!</li><li class='keycap tt'>@</li><li class='keycap tt'>#</li><li class='keycap tt'>$</li><li class='keycap tt'>%</li><li class='keycap tt'>^</li><li class='keycap tt'>&</li><li class='keycap tt'>*</li><li class='keycap tt'>+</li><li class='keycap tt'>=</li></ul>\n            <ul>\n                <li class='keycap tt'>\\</li>\n                <li class='keycap tt'>|</li>\n                <li class='keycap tt'>/</li>\n                <li class='keycap tt'>`</li>\n                <li class='keycap tt'>;</li>\n                <li class='keycap tt'>:</li>\n                <li class='keycap tt'>?</li>\n                <li class='keycap tt'>'</li>\n                <li class='keycap tt'>\"</li>\n                <li class='action font-glyph bottom right'\n                    data-shifted='<span class=\"warning\"><svg><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deletePreviousChar\"]'\n                >&#x232b;</li>\n            </ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='lower-command'>abc</li>\n                <li class='keycap tt'>&lt;</li>\n                <li class='keycap tt'>&gt;</li>\n                <li class='keycap tt'>~</li>\n                <li class='keycap tt'>,</li>\n                <li class='keycap tt'>.</li>\n                <li class='keycap' data-key=' '>&nbsp;</li>\n                <arrows/>\n            </ul>\n        </div>",functions:"\n        <div class='rows'>\n            <ul><li class='separator'></li>\n                <li class='fnbutton' data-insert='\\sin'></li>\n                <li class='fnbutton' data-insert='\\sin^{-1}'></li>\n                <li class='fnbutton' data-insert='\\ln'></li>\n                <li class='fnbutton' data-insert='\\exponentialE^{#?}'></li>\n                <li class='bigfnbutton' data-insert='\\operatorname{lcm}(#?)' data-latex='\\operatorname{lcm}()'></li>\n                <li class='bigfnbutton' data-insert='\\operatorname{ceil}(#?)' data-latex='\\operatorname{ceil}()'></li>\n                <li class='bigfnbutton' 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xml:lang="en-US"><amazon:auto-breaths>'+t+"<p><s>"+s+"</s></p>"+(t?"</prosody>":"")+"</amazon:auto-breaths></speak>"}else s="mac"===e.textToSpeechMarkup&&"mac"===function(t){let e="other";return navigator&&navigator.platform&&navigator.userAgent&&(/^(mac)/i.test(navigator.platform)?e="mac":/^(win)/i.test(navigator.platform)?e="win":/(android)/i.test(navigator.userAgent)?e="android":/(iphone)/i.test(navigator.userAgent)||/(ipod)/i.test(navigator.userAgent)||/(ipad)/i.test(navigator.userAgent)?e="ios":/\bCrOS\b/i.test(navigator.userAgent)&&(e="chromeos")),e===t?t:"!"+t}("mac")?s.replace(/<mark([^\/]*)\/>/g,"").replace(/<emphasis>/g,"[[emph+]]").replace(/<\/emphasis>/g,"").replace(/<break time="([0-9]*)ms"\/>/g,"[[slc $1]]").replace(/<say-as[^>]*>/g,"").replace(/<\/say-as>/g,""):s.replace(/<[^>]*>/g,"").replace(/\s{2,}/g," ");return s};function Si(t,e,s,i){e=e.split(" ");for(const a of e){const e=a.match(/(.*):(.*)/);if(e){const a=i||{};"active"===e[2]?a.passive=!1:a[e[2]]=!0,t.addEventListener(e[1],s,a)}else t.addEventListener(a,s,i)}}function Ai(t,e,s,i){e=e.split(" ");for(const a of e){const e=a.match(/(.*):(.*)/);if(e){const a=i||{};"active"===e[2]?a.passive=!1:a[e[2]]=!0,t.removeEventListener(e[1],s,a)}else t.removeEventListener(a,s,i)}}function Mi(t,e){let s=document.getElementById(t);return s?s.setAttribute("data-refcount",parseInt(s.getAttribute("data-refcount"))+1):((s=document.createElement("div")).setAttribute("aria-hidden","true"),s.setAttribute("data-refcount","1"),s.className=e,s.id=t,document.body.appendChild(s)),s}function Ci(t){if(!t)return null;const e=parseInt(t.getAttribute("data-refcount"));return e&&1!==e?t.setAttribute("data-refcount",e-1):t.remove(),t}function _i(t,e){this.$setConfig(e||{}),this.element=t,t.mathfield=this,this.originalContent=t.innerHTML;let s=this.element.textContent;s&&(s=s.trim());let i="";this.config.substituteTextArea?"string"==typeof this.config.substituteTextArea?i+=this.config.substituteTextArea:i+="<span></span>":/android|ipad|ipod|iphone/i.test(navigator.userAgent)?i+="<span class='ML__textarea'>\n                <span class='ML__textarea__textarea'\n                    tabindex=\"0\" role=\"textbox\"\n                    style='display:inline-block;height:1px;width:1px' >\n                </span>\n            </span>":i+='<span class="ML__textarea"><textarea class="ML__textarea__textarea" autocapitalize="off" autocomplete="off" autocorrect="off" spellcheck="false" aria-hidden="true" tabindex="-1"></textarea></span>',i+='<span class="ML__fieldcontainer"><span class="ML__fieldcontainer__field"></span>',this.config.virtualKeyboardMode||(this.config.virtualKeyboardMode=window.matchMedia&&window.matchMedia("(any-pointer: coarse)").matches?"onfocus":"off"),"manual"===this.config.virtualKeyboardMode?(i+=`<button class="ML__virtual-keyboard-toggle" data-tooltip="${us("tooltip.toggle virtual keyboard")}">`,this.config.virtualKeyboardToggleGlyph?i+=this.config.virtualKeyboardToggleGlyph:i+='<span style="width: 21px; margin-top: 4px;"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 576 512"><path d="M528 64H48C21.49 64 0 85.49 0 112v288c0 26.51 21.49 48 48 48h480c26.51 0 48-21.49 48-48V112c0-26.51-21.49-48-48-48zm16 336c0 8.823-7.177 16-16 16H48c-8.823 0-16-7.177-16-16V112c0-8.823 7.177-16 16-16h480c8.823 0 16 7.177 16 16v288zM168 268v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm-336 80v-24c0-6.627-5.373-12-12-12H84c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm384 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zM120 188v-24c0-6.627-5.373-12-12-12H84c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm96 0v-24c0-6.627-5.373-12-12-12h-24c-6.627 0-12 5.373-12 12v24c0 6.627 5.373 12 12 12h24c6.627 0 12-5.373 12-12zm-96 152v-8c0-6.627-5.373-12-12-12H180c-6.627 0-12 5.373-12 12v8c0 6.627 5.373 12 12 12h216c6.627 0 12-5.373 12-12z"/></svg></span>',i+="</button>"):i+="<span ></span>",i+="</span>",i+='\n        <div class="sr-only">\n            <span aria-live="assertive" aria-atomic="true"></span>\n            <span></span>\n        </div>\n    ',this.element.innerHTML=i;let a=0;"function"==typeof this.config.substituteTextArea?this.textarea=this.config.substituteTextArea():this.textarea=this.element.children[a++].firstElementChild,this.field=this.element.children[a].children[0],this.virtualKeyboardToggleDOMNode=this.element.children[a++].children[1],this._attachButtonHandlers(this.virtualKeyboardToggleDOMNode,{default:"toggleVirtualKeyboard",alt:"toggleVirtualKeyboardAlt",shift:"toggleVirtualKeyboardShift"}),this.ariaLiveText=this.element.children[a].children[0],this.accessibleNode=this.element.children[a++].children[1],this.popover=Mi("mathlive-popover-panel","ML__popover"),this.keystrokeCaption=Mi("mathlive-keystroke-caption-panel","ML__keystroke-caption"),this.keystrokeCaptionVisible=!1,this.virtualKeyboardVisible=!1,this.keystrokeBuffer="",this.keystrokeBufferStates=[],this.keystrokeBufferResetTimer=null,this.suggestionIndex=0,this.mode=e.defaultMode||"math",this.smartModeSuppressed=!1,this.style={},this.blurred=!0,Si(window,"focus",this),Si(window,"blur",this),Si(this.element,"focus",this),Si(this.element,"blur",this),Si(this.textarea,"cut",this),Si(this.textarea,"copy",this),Si(this.textarea,"paste",this),os.delegateKeyboardEvents(this.textarea,{container:this.element,allowDeadKey:()=>"text"===this.mode,typedText:this._onTypedText.bind(this),paste:this._onPaste.bind(this),keystroke:this._onKeystroke.bind(this)}),Si(this.element,"touchstart:active mousedown",this),Si(window,"resize",this);const o={...e};o.onSelectionDidChange=_i.prototype._onSelectionDidChange.bind(this),o.onContentDidChange=_i.prototype._onContentDidChange.bind(this),o.onAnnounce=this.config.onAnnounce,o.smartFence=this.config.smartFence,o.macros=this.config.macros,o.removeExtraneousParentheses=this.config.removeExtraneousParentheses,this.mathlist=new ts.EditableMathlist(o,this),this.undoManager=new ns.UndoManager(this.mathlist),s.length>0&&this.$latex(s),this.undoManager.startRecording(),this.undoManager.snapshot(this.config)}let Ti,Li;_i.prototype.handleEvent=function(t){switch(t.type){case"focus":this._onFocus(t);break;case"blur":this._onBlur(t);break;case"touchstart":case"mousedown":this._onPointerDown(t);break;case"resize":this._resizeTimer&&window.cancelAnimationFrame(this._resizeTimer),this._resizeTimer=window.requestAnimationFrame(()=>this._onResize());break;case"cut":this._onCut(t);break;case"copy":this._onCopy(t);break;case"paste":this._onPaste(t)}},_i.prototype.revertToOriginalContent=_i.prototype.$revertToOriginalContent=function(){this.element.innerHTML=this.originalContent,this.element.mathfield=null,delete this.accessibleNode,delete this.ariaLiveText,delete this.field,Ai(this.textarea,"cut",this),Ai(this.textarea,"copy",this),Ai(this.textarea,"paste",this),this.textarea.remove(),delete this.textarea,this.virtualKeyboardToggleDOMNode.remove(),delete this.virtualKeyboardToggleDOMNode,Ci(this.popover),Ci(this.keystrokeCaption),Ci(this.virtualKeyboard),Ci(document.getElementById("mathlive-alternate-keys-panel")),Ai(this.element,"touchstart:active mousedown",this),Ai(this.element,"focus",this),Ai(this.element,"blur",this),Ai(window,"resize",this),Ai(window,"focus",this),Ai(window,"blur",this)},_i.prototype._resetKeystrokeBuffer=function(){this.keystrokeBuffer="",this.keystrokeBufferStates=[],clearTimeout(this.keystrokeBufferResetTimer)},_i.prototype._getCaretPosition=function(){const t=function t(e){if(e.classList.contains("ML__caret")||e.classList.contains("ML__text-caret")||e.classList.contains("ML__command-caret"))return e;let s;return Array.from(e.children).forEach(function(e){s=s||t(e)}),s}(this.field);if(t){const e=t.getBoundingClientRect();return{x:e.right+window.scrollX,y:e.bottom+window.scrollY}}return null},_i.prototype._pathFromPoint=function(t,e,s){let i;(s=s||{}).bias=s.bias||0;const a=function t(e,s,i){let a={element:null},o=!0;if(e.getAttribute("data-atom-id")){a.element=e;const t=e.getBoundingClientRect(),n=Math.max(t.left-s,s-t.right),r=Math.max(t.top-i,i-t.bottom);a.distance=n*n+r*r,o=s>=t.left&&s<=t.right}else a.distance=Number.POSITIVE_INFINITY;return o&&e.children&&Array.from(e.children).forEach(function(e){const o=t(e,s,i);o.element&&o.distance<=a.distance&&(a=o)}),a}(this.field,t,e).element,o=a?a.getAttribute("data-atom-id"):null;if(o){const e=this.mathlist.filter(function(t,e){return e.captureSelection?e.filter(t=>t.id===o).length>0:e.id===o});if(e&&e.length>0)if(i=Le.pathFromString(e[0]).path,0===s.bias){const e=a.getBoundingClientRect();t<e.left+e.width/2&&!a.classList.contains("ML__placeholder")&&(i[i.length-1].offset=Math.max(0,i[i.length-1].offset-1))}else s.bias<0&&(i[i.length-1].offset=Math.min(this.mathlist.siblings().length-1,Math.max(0,i[i.length-1].offset+s.bias)))}return i};let Di=0;function Fi(t,e,s){const i=Object.assign({},t.config);return i.textToSpeechMarkup="",e+ge.toSpeakableText(s,i)}function Ei(t,e,s,i){let a="";"plonk"===e?(t.plonkSound&&(t.plonkSound.load(),t.plonkSound.play().catch(t=>void 0)),t._resetKeystrokeBuffer()):"delete"===e?a=Fi(t,"deleted: ",i):"focus"===e||/move/.test(e)?a=(t.mathlist.isCollapsed()?"":"selected: ")+t._nextAtomSpeechText(s):"replacement"===e?a=Fi(t,"",t.mathlist.sibling(0)):"line"===e?(a=Fi(t,"",t.mathlist.root),t.accessibleNode.innerHTML='<math xmlns="http://www.w3.org/1998/Math/MathML">'+ge.toMathML(t.mathlist.root,t.config)+"</math>",t.textarea.setAttribute("aria-label","after: "+a)):a=i?Fi(t,e+" ",i):e;const o=/\u00a0/.test(t.ariaLiveText.textContent)?"   ":"   ";t.ariaLiveText.textContent=a+o}_i.prototype._onPointerDown=function(t){let e;const s=this;let i=!1,a=!1,o=!1;function n(t){Ai(s.field,"touchmove",r),Ai(s.field,"touchend touchleave",n),Ai(window,"mousemove",r),Ai(window,"mouseup blur",n),i=!1,t.preventDefault(),t.stopPropagation()}function r(t){const i=t.touches?t.touches[0].clientX:t.clientX,o=t.touches?t.touches[0].clientY:t.clientY;if(Date.now()<h+500&&Math.abs(l-i)<5&&Math.abs(c-o)<5)return t.preventDefault(),void t.stopPropagation();let n=e;t.touches&&2===t.touches.length&&(n=s._pathFromPoint(t.touches[1].clientX,t.touches[1].clientY,{bias:0}));const r=s._pathFromPoint(i,o,{bias:i<=l?i===l?0:-1:1});r&&s.mathlist.setRange(n,r,{extendToWordBoundary:a})&&requestAnimationFrame(s._render.bind(s)),t.preventDefault(),t.stopPropagation()}t.touches&&1===t.touches.length&&(Ti&&Math.abs(Ti.pageX-t.touches[0].pageX)<5&&Math.abs(Ti.pageY-t.touches[0].pageY)<5&&Date.now()<Li+500?Di+=1:(Ti=t.touches[0],Di=1),Li=Date.now()),Ai(this.field,"touchmove",r),Ai(this.field,"touchend touchleave",n),Ai(window,"mousemove",r),Ai(window,"mouseup blur",n);const l=t.touches?t.touches[0].clientX:t.clientX,c=t.touches?t.touches[0].clientY:t.clientY,h=Date.now(),p=this.element.getBoundingClientRect();if(l>=p.left&&l<=p.right&&c>=p.top&&c<=p.bottom){if(this.hasFocus()||(o=!0,this.textarea.focus&&this.textarea.focus()),this._resetKeystrokeBuffer(),this.smartModeSuppressed=!1,t.buttons&&1!==t.buttons)return;(e=this._pathFromPoint(l,c,{bias:0}))&&(t.shiftKey?(this.mathlist.setRange(this.mathlist.path,e),(e=Le.clone(this.mathlist.path))[e.length-1].offset-=1):this.mathlist.setPath(e,0),o=!0,3===t.detail||Di>2?(Ai(this.field,"touchmove",r),Ai(this.field,"touchend",n),Ai(window,"mousemove",r),Ai(window,"mouseup blur",n),i=!1,3!==t.detail&&3!==Di||this.mathlist.selectAll_()):i||(i=!0,Si(window,"blur",n),t.touches?(Si(t.target,"touchmove",r),Si(t.target,"touchend",n)):(Si(window,"mousemove",r),Si(window,"mouseup",n)),2!==t.detail&&2!==Di||(a=!0,this.mathlist.selectGroup_())))}else Ti=null;o&&this._render(),t.preventDefault()},_i.prototype._onSelectionDidChange=function(){this.mathlist.commitCommandStringBeforeInsertionPoint();let t="";this.mathlist.forEachSelected(e=>{t+=e.toLatex()}),t?(this.textarea.value=t,this.hasFocus()&&this.textarea.select&&this.textarea.select()):(this.textarea.value="",this.textarea.setAttribute("aria-label",""));{const t=this.mode;this.mode=this.mathlist.anchorMode()||this.config.defaultMode,this.mode!==t&&"function"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode)}this.style={},ds.updatePopoverPosition(this,{deferred:!0}),"function"==typeof this.config.onSelectionDidChange&&this.config.onSelectionDidChange(this)},_i.prototype._onContentDidChange=function(){this.undoManager.canRedo()?this.element.classList.add("can-redo"):this.element.classList.remove("can-redo"),this.undoManager.canUndo()?this.element.classList.add("can-undo"):this.element.classList.remove("can-undo"),"function"==typeof this.config.onContentDidChange&&this.config.onContentDidChange(this)},_i.prototype._nextAtomSpeechText=function(t){function e(t,e){return"body"===e.relation?{enclose:"cross out",leftright:"fence",surd:"square root",root:"math field"}[t.type]:{numer:"numerator",denom:"denominator",index:"index",body:"parent",subscript:"subscript",superscript:"superscript"}[e.relation]}const s=t?t.path:[],i=this.mathlist.path,a=i[i.length-1];let o="";for(;s.length>i.length;)o+="out of "+e(t.parent(),s[s.length-1])+"; ",s.pop();if(!this.mathlist.isCollapsed())return Fi(this,"",this.mathlist.getSelectedAtoms());const n=e(this.mathlist.parent(),a);0===a.offset&&(o+=(n?"start of "+n:"unknown")+": ");const r=this.mathlist.sibling(Math.max(1,this.mathlist.extent));return r?o+=Fi(this,"",r):0!==a.offset&&(o+=n?"end of "+n:"unknown"),o},_i.prototype._announce=function(t,e,s){"function"==typeof this.config.onAnnounce&&this.config.onAnnounce(this,t,e,s)},_i.prototype._onFocus=function(){this.blurred&&(this.blurred=!1,this.textarea.focus&&this.textarea.focus(),"onfocus"===this.config.virtualKeyboardMode&&this.showVirtualKeyboard_(),ds.updatePopoverPosition(this),this.config.onFocus&&this.config.onFocus(this),this._render())},_i.prototype._onBlur=function(){this.blurred||(this.blurred=!0,this.ariaLiveText.textContent="","onfocus"===this.config.virtualKeyboardMode&&this.hideVirtualKeyboard_(),ds.updatePopoverPosition(this),this._render(),this.config.onBlur&&this.config.onBlur(this))},_i.prototype._onResize=function(){this.element.classList.remove("ML__isNarrowWidth","ML__isWideWidth","ML__isExtendedWidth"),window.innerWidth>=1024?this.element.classList.add("ML__isExtendedWidth"):window.innerWidth>=768?this.element.classList.add("ML__isWideWidth"):this.element.classList.add("ML__isNarrowWidth"),ds.updatePopoverPosition(this)},_i.prototype.toggleKeystrokeCaption_=function(){this.keystrokeCaptionVisible=!this.keystrokeCaptionVisible,this.keystrokeCaption.innerHTML="",this.keystrokeCaptionVisible||(this.keystrokeCaption.style.visibility="hidden")},_i.prototype._showKeystroke=function(t){const e=this.keystrokeCaption;if(e&&this.keystrokeCaptionVisible){const s=this.element.getBoundingClientRect();e.style.left=s.left+"px",e.style.top=s.top-64+"px",e.innerHTML="<span>"+(Pe.stringify(t)||t)+"</span>"+e.innerHTML,e.style.visibility="visible",setTimeout(function(){e.childNodes.length>0&&e.removeChild(e.childNodes[e.childNodes.length-1]),0===e.childNodes.length&&(e.style.visibility="hidden")},3e3)}},_i.prototype.perform=_i.prototype.$perform=function(t){if(!t)return!1;let e,s=!1,i=[],a=!1;return Array.isArray(t)?(e=t[0],i=t.slice(1)):e=t,e=e.replace(/-\w/g,t=>t[1].toUpperCase()),e+="_","function"==typeof this.mathlist[e]?(/^(delete|transpose|add)/.test(e)&&this._resetKeystrokeBuffer(),/^(delete|transpose|add)/.test(e)&&"command"!==this.mode&&(this.undoManager.pop(),this.undoManager.snapshot(this.config)),this.mathlist[e](...i),/^(delete|transpose|add)/.test(e)&&"command"!==this.mode&&this.undoManager.snapshot(this.config),a=!0,s=!0):"function"==typeof this[e]&&(a=this[e](...i),s=!0),this.mathlist.isCollapsed()&&!/^(transpose|paste|complete|((moveToNextChar|moveToPreviousChar|extend).*))_$/.test(e)||this._resetKeystrokeBuffer(),a&&this._render(),s},_i.prototype.performWithFeedback_=function(t){return this.focus(),this.config.keypressVibration&&navigator.vibrate&&navigator.vibrate(3),"moveToNextPlaceholder"===(t=t.replace(/-\w/g,t=>t[1].toUpperCase()))||"moveToPreviousPlaceholder"===t||"complete"===t?this.returnKeypressSound?(this.returnKeypressSound.load(),this.returnKeypressSound.play().catch(t=>void 0)):this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play().catch(t=>void 0)):("deletePreviousChar"===t||"deleteNextChar"===t||"deletePreviousWord"===t||"deleteNextWord"===t||"deleteToGroupStart"===t||"deleteToGroupEnd"===t||"deleteToMathFieldStart"===t||"deleteToMathFieldEnd"===t)&&this.deleteKeypressSound?(this.deleteKeypressSound.load(),this.deleteKeypressSound.play().catch(t=>void 0)):this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play().catch(t=>void 0)),this.perform(t)},_i.prototype.convertLastAtomsToText_=function(t,e){"function"==typeof t&&(e=t,t=1/0),void 0===t&&(t=1/0);let s=0,i=!1;for(this.mathlist.contentWillChange();!i;){const a=this.mathlist.sibling(s);(i=0===t||!a||"math"!==a.mode||!/mord|textord|mpunct/.test(a.type)||a.superscript||a.subscript||e&&!e(a))||(a.applyStyle({mode:"text"}),a.latex=a.body),s-=1,t-=1}this.mathlist.contentDidChange()},_i.prototype.convertLastAtomsToMath_=function(t,e){"function"==typeof t&&(e=t,t=1/0),void 0===t&&(t=1/0),this.mathlist.contentWillChange();let s=0,i=!1;for(;!i;){const a=this.mathlist.sibling(s);(i=0===t||!a||"text"!==a.mode||" "===a.body||e&&!e(a))||a.applyStyle({mode:"math",type:"mord"}),s-=1,t-=1}this.removeIsolatedSpace_(),this.mathlist.contentDidChange()},_i.prototype.removeIsolatedSpace_=function(){let t=0;for(;this.mathlist.sibling(t)&&"math"===this.mathlist.sibling(t).mode;)t-=1;if(this.mathlist.sibling(t)&&"text"===this.mathlist.sibling(t).mode&&" "===this.mathlist.sibling(t).body&&(!this.mathlist.sibling(t-1)||"math"===this.mathlist.sibling(t-1).mode)){this.mathlist.contentWillChange(),this.mathlist.siblings().splice(t-1,1),this.mathlist.contentDidChange();const e=this.mathlist.suppressChangeNotifications;this.mathlist.suppressChangeNotifications=!0,this.mathlist.setSelection(this.mathlist.anchorOffset()-1),this.mathlist.suppressChangeNotifications=e}},_i.prototype.getTextBeforeAnchor_=function(){let t="",e=0,s=!1;for(;!s;){const i=this.mathlist.sibling(e);(s=!(i&&("text"===i.mode&&!i.type||"math"===i.mode&&/mord|textord|mpunct/.test(i.type))))||(t=i.body+t),e-=1}return t},_i.prototype.smartMode_=function(t,e){if(this.smartModeSuppressed)return!1;if(this.mathlist.endOffset()<this.mathlist.siblings().length-1)return!1;if(!e||e.ctrlKey||e.metaKey)return!1;const s=os.eventToChar(e);if(s.length>1)return!1;if(this.mathlist.isCollapsed()){const e=this.getTextBeforeAnchor_()+s;if("text"===this.mode){if("Esc"===t||/[\/^_\\]/.test(s))return!0;const i={")":"(","}":"{","]":"["}[s];if(i&&this.mathlist.parent()&&"leftright"===this.mathlist.parent().type&&this.mathlist.parent().leftDelim===i)return!0;if(/(^|[^a-zA-Z])(a|I)[ ]$/.test(e))return!1;if(/(^|[^a-zA-Z])[a-zA-Z][ ]$/.test(e))return this.convertLastAtomsToMath_(1),!1;if(/\.\S$/.test(e)){const t=this.mathlist.sibling(0);return t.body="⋅",t.fontFamily="cmr",t.latex="\\cdot",t.mode="math",t.type="mord",!0}if(/(^|\s)[a-zA-Z][^a-zA-Z]$/.test(e))return this.convertLastAtomsToMath_(1),this.removeIsolatedSpace_(),!0;if(/\.[0-9]$/.test(e))return this.convertLastAtomsToMath_(1),!0;if(/[(][0-9+\-.]$/.test(e))return this.convertLastAtomsToMath_(1),this.removeIsolatedSpace_(),!0;if(/[(][a-z][,;]$/.test(e))return this.convertLastAtomsToMath_(2),this.removeIsolatedSpace_(),!0;if(/[0-9+\-=><*|]$/.test(s))return this.removeIsolatedSpace_(),!0}else{if("Spacebar"===t)return this.convertLastAtomsToText_(t=>/[a-z][:,;.]$/.test(t.body)),!0;if(/[a-zA-Z]{3,}$/.test(e)&&!/dxd$/.test(e))return this.convertLastAtomsToText_(t=>/[a-zA-Z:,;.]/.test(t.body)),!0;if(/(^|\W)(if|If)$/i.test(e))return this.convertLastAtomsToText_(1),!0;if(/\?|\./.test(s))return!0}}return!1},_i.prototype._onKeystroke=function(t,e){if(this._showKeystroke(t),clearTimeout(this.keystrokeBufferResetTimer),this.config.onKeystroke&&!this.config.onKeystroke(this,t,e))return e&&e.preventDefault&&(e.preventDefault(),e.stopPropagation()),!1;let s,i,a,o=!1;if("command"!==this.mode&&(!e||!e.ctrlKey&&!e.metaKey)){const t=os.eventToChar(e);if("Backspace"!==t)if(!t||t.length>1)this._resetKeystrokeBuffer();else{const e=this.keystrokeBuffer+t;let a=0;for(;!s&&a<e.length;){const t=this.keystrokeBufferStates[a]?Ce.parseTokens(x.tokenize(this.keystrokeBufferStates[a].latex),this.config.default,null,this.config.macros):this.mathlist.siblings();s=Pe.forString(t,e.slice(a),this.config),a+=1}i=a-1,this.keystrokeBuffer+=t,this.keystrokeBufferStates.push(this.undoManager.save()),Pe.startsWithString(e,this.config).length<=1?o=!0:this.config.inlineShortcutTimeout&&(this.keystrokeBufferResetTimer=setTimeout(()=>{this._resetKeystrokeBuffer()},this.config.inlineShortcutTimeout))}}if(this.config.smartMode){const i=this.mode;s?this.mode="math":this.smartMode_(t,e)&&(this.mode={math:"text",text:"math"}[this.mode],a=""),this.mode!==i&&"function"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode)}if(s||a||(a=Pe.selectorForKeystroke(this.mode,t)),!s&&!a)return!0;this.mathlist.decorateCommandStringAroundInsertionPoint(!1);const n=this.mathlist.parent();if("moveAfterParent"===a&&n&&"leftright"===n.type&&this.mathlist.endOffset()===this.mathlist.siblings().length-1&&this.mathlist._insertSmartFence(".")&&(a="",this._render()),"math"===this.mode&&"Spacebar"===t){const t=this.mathlist.sibling(1),e=this.mathlist.sibling(-1);(t&&"text"===t.mode||e&&"text"===e.mode)&&this.mathlist.insert(" ",{mode:"text"})}if((a&&!this.perform(a)||s)&&s){if(!/^(\\{|\\}|\\[|\\]|\\@|\\#|\\$|\\%|\\^|\\_|\\backslash)$/.test(s)){const t={...this.mathlist.anchorStyle(),...this.style};this.mathlist.insert(os.eventToChar(e),{suppressChangeNotifications:!0,mode:this.mode,style:t});const s=this.mode;this.undoManager.snapshotAndCoalesce(this.config),this.undoManager.restore(this.keystrokeBufferStates[i],{...this.config,suppressChangeNotifications:!0}),this.mode=s}this.mathlist.contentWillChange();const t=this.mathlist.suppressChangeNotifications;this.mathlist.suppressChangeNotifications=!0;const a={...this.mathlist.anchorStyle(),...this.style};this.mathlist._insertSmartFence(s,a)||this.mathlist.insert(s,{format:"latex",mode:this.mode,style:a}),this.removeIsolatedSpace_(),this.mathlist.suppressChangeNotifications=t,this.mathlist.contentDidChange(),this.undoManager.snapshot(this.config),this._render(),this._announce("replacement"),o&&this._resetKeystrokeBuffer()}return e&&e.preventDefault&&(e.preventDefault(),e.stopPropagation()),!1},_i.prototype._onTypedText=function(t,e){if((e=e||{}).focus&&this.focus(),e.feedback&&(this.config.keypressVibration&&navigator.vibrate&&navigator.vibrate(3),this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play().catch(t=>void 0))),e.commandMode&&"command"!==this.mode&&this.switchMode_("command"),this.mathlist.decorateCommandStringAroundInsertionPoint(!1),e.simulateKeystroke){const e=t.charAt(0),s=os.charToEvent(e);if(!this.$keystroke(os.keyboardEventToString(s),s))return}let s="",i=!1;if(this.pasteInProgress)this.pasteInProgress=!1,this.mathlist.insert(t,{smartFence:this.config.smartFence,mode:"math"});else{const e={...this.mathlist.anchorStyle(),...this.style},a=y.splitGraphemes(t);for(const t of a)if("command"===this.mode){this.mathlist.removeSuggestion(),this.suggestionIndex=0;const e=this.mathlist.extractCommandStringAroundInsertionPoint(),a=Nt.suggest(e+t);i=a.length>1,0===a.length?(this.mathlist.insert(t,{mode:"command"}),/^\\[a-zA-Z\\*]+$/.test(e+t)&&this.mathlist.decorateCommandStringAroundInsertionPoint(!0),ds.hidePopover(this)):(this.mathlist.insert(t,{mode:"command"}),a[0].match!==e+t&&this.mathlist.insertSuggestion(a[0].match,-a[0].match.length+e.length+1),s=a[0].match)}else if("math"===this.mode){const s={"^":"moveToSuperscript",_:"moveToSubscript"," ":"moveAfterParent"}[t];if(s){if("moveToSuperscript"===s){if(this._superscriptDepth()>=this.config.scriptDepth[1])return void this._announce("plonk")}else if("moveToSubscript"===s&&this._subscriptDepth()>=this.config.scriptDepth[0])return void this._announce("plonk");this.perform(s)}else this.config.smartSuperscript&&"superscript"===this.mathlist.relation()&&/[0-9]/.test(t)&&0===this.mathlist.siblings().filter(t=>"first"!==t.type).length?(this.mathlist.insert(t,{mode:"math",style:e}),this.mathlist.moveAfterParent_()):this.mathlist._insertSmartFence(t,e)||this.mathlist.insert(t,{mode:"math",style:e})}else"text"===this.mode&&this.mathlist.insert(t,{mode:"text",style:e})}"command"!==this.mode&&this.undoManager.snapshotAndCoalesce(this.config),this._render(),ds.showPopoverWithLatex(this,s,i)},_i.prototype._hash=function(){let t=0;const e=this.mathlist.root.toLatex(!1);for(let s=0;s<e.length;s++)t=31*t+e.charCodeAt(s),t|=0;return Math.abs(t)},_i.prototype._render=function(t){t=t||{},window.mathlive||(window.mathlive={}),this.mathlist.anchor()||(this.mathlist.path=[{relation:"body",offset:0}]),this.mathlist.forEach(t=>{t.caret="",t.isSelected=!1});const e=this.hasFocus();this.mathlist.isCollapsed()?this.mathlist.anchor().caret=e?this.mode:"":this.mathlist.forEachSelected(t=>{t.isSelected=!0});const s=ge.decompose({mathstyle:"displaystyle",generateID:{seed:this._hash(),groupNumbers:t.forHighlighting},macros:this.config.macros},this.mathlist.root),i=ot.makeSpan(s,"ML__base");i.attributes={translate:"no","aria-hidden":"true"};const a=ot.makeSpan("","ML__strut");a.setStyle("height",i.height,"em");const o=[a];if(0!==i.depth){const t=ot.makeSpan("","ML__strut--bottom");t.setStyle("height",i.height+i.depth,"em"),t.setStyle("vertical-align",-i.depth,"em"),o.push(t)}o.push(i);const n=ot.makeSpan(o,"ML__mathlive");this.field.innerHTML=n.toMarkup(0,this.config.horizontalSpacingScale),this.field.classList.toggle("ML__focused",e),this.accessibleNode.innerHTML="<math xmlns='http://www.w3.org/1998/Math/MathML'>"+ge.toMathML(this.mathlist.root,this.config)+"</math>";const r=this.field.querySelectorAll(".ML__selected");if(r&&r.length>0){const t={top:1/0,bottom:-1/0,left:1/0,right:-1/0};r.forEach(e=>{if(e.classList.contains("ML__selected")){const s=e.getBoundingClientRect();s.left<t.left&&(t.left=s.left),s.right>t.right&&(t.right=s.right),s.bottom>t.bottom&&(t.bottom=s.bottom),s.top<t.top&&(t.top=s.top)}});const e=this.field.getBoundingClientRect(),s=document.createElement("div");s.classList.add("ML__selection"),s.style.position="absolute",s.style.left=t.left-e.left+"px",s.style.top=t.top-e.top+"px",s.style.width=t.right-t.left+"px",s.style.height=t.bottom-t.top+"px",this.field.insertBefore(s,this.field.childNodes[0])}this.scrollIntoView_()},_i.prototype._onPaste=function(){return this.pasteInProgress=!0,!0},_i.prototype._onCut=function(){return setTimeout(function(){this.clearSelection(),this._render()}.bind(this),0),!0},_i.prototype._onCopy=function(t){this.mathlist.isCollapsed()?(t.clipboardData.setData("text/plain",this.$text("latex-expanded")),t.clipboardData.setData("application/json",this.$text("json")),t.clipboardData.setData("application/xml",this.$text("mathML"))):(t.clipboardData.setData("text/plain",this.$selectedText("latex-expanded")),t.clipboardData.setData("application/json",this.$selectedText("json")),t.clipboardData.setData("application/xml",this.$selectedText("mathML"))),t.preventDefault()},_i.prototype.formatMathlist=function(t,e){let s="";if("latex"===(e=e||"latex")||"latex-expanded"===e)s=t.toLatex("latex-expanded"===e);else if("mathML"===e)s=t.toMathML(this.config);else if("spoken"===e)s=ge.toSpeakableText(t,this.config);else if("spoken-text"===e){const e=this.config.textToSpeechMarkup;this.config.textToSpeechMarkup="",s=ge.toSpeakableText(t,this.config),this.config.textToSpeechMarkup=e}else if("spoken-ssml"===e){const e=this.config.textToSpeechMarkup;this.config.textToSpeechMarkup="ssml",s=ge.toSpeakableText(t,this.config),this.config.textToSpeechMarkup=e}else if("json"===e){const e=ge.toAST(t,this.config);s=JSON.stringify(e)}else"ASCIIMath"===e&&(s=function t(e,s){if(!e)return"";if(Array.isArray(e)){let i="";if(0===e.length)return"";if("first"===e[0].type&&e.shift(),"text"===e[0].mode){let a=0;for(i='"';e[a]&&"text"===e[a].mode;)i+=e[a].body,a++;i+='"'+t(e.slice(a),s)}else{let a=0;for(;e[a]&&"math"===e[a].mode;)i+=t(e[a],s),a++;i+=t(e.slice(a),s)}return i.trim()}let i="";const a=e.latex?e.latex.trim():null;let o;switch(e.type){case"group":case"root":i=t(e.body,s);break;case"array":break;case"genfrac":(e.leftDelim||e.rightDelim)&&(i+="."!==e.leftDelim&&e.leftDelim?e.leftDelim:"{:"),e.hasBarLine?(i+="(",i+=t(e.numer,s),i+=")/(",i+=t(e.denom,s),i+=")"):(i+="("+t(e.numer,s)+"),",i+="("+t(e.denom,s)+")"),(e.leftDelim||e.rightDelim)&&(i+="."!==e.rightDelim&&e.rightDelim?e.rightDelim:"{:");break;case"surd":e.index?i+="root("+t(e.index,s)+")("+t(e.body,s)+")":i+="sqrt("+t(e.body,s)+")";break;case"leftright":i+="."!==e.leftDelim&&e.leftDelim?e.leftDelim:"{:",i+=t(e.body,s),i+="."!==e.rightDelim&&e.rightDelim?e.rightDelim:"{:";break;case"sizeddelim":case"delim":case"accent":break;case"line":case"overlap":case"overunder":break;case"mord":"\\"===(i=Ms[a]||a||("string"==typeof e.body?e.body:""))[0]&&(i+=""),(o=a?a.match(/[{]?\\char"([0-9abcdefABCDEF]*)[}]?/):null)?i=String.fromCharCode(parseInt("0x"+o[1])):i.length>0&&"\\"===i.charAt(0)&&(i="string"==typeof e.body?e.body.charAt(0):e.latex);break;case"mbin":case"mrel":case"textord":case"minner":i=a&&Ms[a]?Ms[a]:a&&Cs[a]?Cs[a]:e.body;break;case"mopen":case"mclose":i+=e.body;break;case"mpunct":i=Cs[a]||a;break;case"mop":"​"!==e.body&&(i="",i+="\\operatorname"===a?e.body:e.body||a,i+=" ");break;case"mathstyle":case"box":case"spacing":case"enclose":case"sizing":break;case"space":i=" "}if(e.subscript){i+="_";const a=t(e.subscript,s);a.length>1&&!/^(-)?\d+(\.\d*)?$/.test(a)?i+="("+a+")":i+=a}if(e.superscript){i+="^";const a=t(e.superscript,s);a.length>1&&!/^(-)?\d+(\.\d*)?$/.test(a)?i+="("+a+")":i+=a}return i}(t,this.config));return s},_i.prototype.text=_i.prototype.$text=function(t){return this.formatMathlist(this.mathlist.root,t)},_i.prototype.selectedText=_i.prototype.$selectedText=function(t){const e=this.mathlist.getSelectedAtoms();if(!e)return"";const s=ge.makeRoot(e[0].mode,e);return this.formatMathlist(s,t)},_i.prototype.selectionIsCollapsed=_i.prototype.$selectionIsCollapsed=function(){return this.mathlist.isCollapsed()},_i.prototype.selectionDepth=_i.prototype.$selectionDepth=function(){return this.mathlist.path.length},_i.prototype._superscriptDepth=function(){let t=0,e=0,s=this.mathlist.ancestor(e),i=!1;for(;s;)(s.superscript||s.subscript)&&(t+=1),s.superscript?i=!0:s.subscript&&(i=!1),e+=1,s=this.mathlist.ancestor(e);return i?t:0},_i.prototype._subscriptDepth=function(){let t=0,e=0,s=this.mathlist.ancestor(e),i=!1;for(;s;)(s.superscript||s.subscript)&&(t+=1),s.superscript?i=!1:s.subscript&&(i=!0),e+=1,s=this.mathlist.ancestor(e);return i?t:0},_i.prototype.selectionAtStart=_i.prototype.$selectionAtStart=function(){return 0===this.mathlist.startOffset()},_i.prototype.selectionAtEnd=_i.prototype.$selectionAtEnd=function(){return this.mathlist.endOffset()>=this.mathlist.siblings().length-1},_i.prototype.groupIsSelected=function(){return 0===this.mathlist.startOffset()&&this.mathlist.endOffset()>=this.mathlist.siblings().length-1},_i.prototype.latex=_i.prototype.$latex=function(t,e){if(t){return t!==this.mathlist.root.toLatex()&&(e=e||{},this.mathlist.insert(t,Object.assign({},this.config,{insertionMode:"replaceAll",selectionMode:"after",format:"latex",mode:"math",suppressChangeNotifications:e.suppressChangeNotifications})),this.undoManager.snapshot(this.config),this._render()),t}return this.mathlist.root.toLatex()},_i.prototype.el=_i.prototype.$el=function(){return this.element},_i.prototype.undo_=_i.prototype.undo=function(){return this.complete_(),this.undoManager.undo(this.config),!0},_i.prototype.redo_=_i.prototype.redo=function(){return this.complete_(),this.undoManager.redo(this.config),!0},_i.prototype.scrollIntoView_=_i.prototype.scrollIntoView=function(){return!1},_i.prototype.scrollToStart_=_i.prototype.scrollToStart=function(){return!0},_i.prototype.scrollToEnd_=_i.prototype.scrollToEnd=function(){return!0},_i.prototype.enterCommandMode_=function(){this.switchMode_("command")},_i.prototype.copyToClipboard_=function(){return this.focus(),this.mathlist.isCollapsed()&&this.select(),document.execCommand("copy"),!1},_i.prototype.cutToClipboard_=function(){return this.focus(),document.execCommand("cut"),!0},_i.prototype.pasteFromClipboard_=function(){return this.focus(),document.execCommand("paste"),!0},_i.prototype.insert_=_i.prototype.insert=_i.prototype.$insert=function(t,e){if("string"==typeof t&&t.length>0){if((e=e||{}).focus&&this.focus(),e.feedback&&(this.config.keypressVibration&&navigator.vibrate&&navigator.vibrate(3),this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play())),"\\\\"===t)this.mathlist.addRowAfter_();else if("&"===t)this.mathlist.addColumnAfter_();else{const s=this.style;this.style.fontFamily||(this.style.fontFamily="math"),this.mathlist.insert(t,{mode:this.mode,style:this.mathlist.anchorStyle(),...e}),e.resetStyle&&(this.style=s)}return this.undoManager.snapshot(this.config),!0}return!1},_i.prototype.switchMode_=function(t,e,s){this._resetKeystrokeBuffer(),this.smartModeSuppressed=!0,e&&this.insert(e,{format:"latex",mode:{math:"text",text:"math"}[t]}),this.mathlist.decorateCommandStringAroundInsertionPoint(!1),"command"===t?(this.mathlist.removeSuggestion(),ds.hidePopover(this),this.suggestionIndex=0,this.virtualKeyboardVisible&&this.switchKeyboardLayer_("lower-command"),this.mathlist.insert("",{mode:"math"})):this.mode=t,s&&this.insert(s,{format:"latex",mode:t}),"function"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode),this._render()},_i.prototype.complete_=function(t){if(t=t||{},ds.hidePopover(this),t.discard)return this.mathlist.spliceCommandStringAroundInsertionPoint(null),this.switchMode_("math"),!0;const e=this.mathlist.extractCommandStringAroundInsertionPoint(!t.acceptSuggestion);if(e){if("\\("===e||"\\)"===e)this.mathlist.spliceCommandStringAroundInsertionPoint([]),this.mathlist.insert(e.slice(1),{mode:this.mode});else{const t="math";if(Nt.commandAllowed(t,e)){const s=Ce.parseTokens(x.tokenize(e),t,null,this.config.macros);this.mathlist.spliceCommandStringAroundInsertionPoint(s)}else{const s=Ce.parseTokens(x.tokenize(e),t,null,this.config.macros);s?this.mathlist.spliceCommandStringAroundInsertionPoint(s):this.mathlist.decorateCommandStringAroundInsertionPoint(!0)}}return this.undoManager.snapshot(this.config),this._announce("replacement"),!0}return!1},_i.prototype._updateSuggestion=function(){this.mathlist.positionInsertionPointAfterCommitedCommand(),this.mathlist.removeSuggestion();const t=this.mathlist.extractCommandStringAroundInsertionPoint(),e=Nt.suggest(t);if(0===e.length)ds.hidePopover(this),this.mathlist.decorateCommandStringAroundInsertionPoint(!0);else{const s=this.suggestionIndex%e.length,i=t.length-e[s].match.length;0!==i&&this.mathlist.insertSuggestion(e[s].match,i),ds.showPopoverWithLatex(this,e[s].match,e.length>1)}this._render()},_i.prototype.nextSuggestion_=function(){return this.suggestionIndex+=1,this._updateSuggestion(),!1},_i.prototype.previousSuggestion_=function(){if(this.suggestionIndex-=1,this.suggestionIndex<0){this.mathlist.removeSuggestion();const t=this.mathlist.extractCommandStringAroundInsertionPoint(),e=Nt.suggest(t);this.suggestionIndex=e.length-1}return this._updateSuggestion(),!1},_i.prototype._attachButtonHandlers=function(t,e){const s=this;let i,a,o,n,r;"object"==typeof e&&(e.default||e.pressed)?(e.default&&t.setAttribute("data-"+this.config.namespace+"command",JSON.stringify(e.default)),e.alt&&t.setAttribute("data-"+this.config.namespace+"command-alt",JSON.stringify(e.alt)),e.altshift&&t.setAttribute("data-"+this.config.namespace+"command-altshift",JSON.stringify(e.altshift)),e.shift&&t.setAttribute("data-"+this.config.namespace+"command-shift",JSON.stringify(e.shift)),e.pressed&&t.setAttribute("data-"+this.config.namespace+"command-pressed",JSON.stringify(e.pressed)),e.pressAndHoldStart&&t.setAttribute("data-"+this.config.namespace+"command-pressAndHoldStart",JSON.stringify(e.pressAndHoldStart)),e.pressAndHoldEnd&&t.setAttribute("data-"+this.config.namespace+"command-pressAndHoldEnd",JSON.stringify(e.pressAndHoldEnd))):t.setAttribute("data-"+this.config.namespace+"command",JSON.stringify(e)),Si(t,"mousedown touchstart:passive",function(e){if("mousedown"!==e.type||1===e.buttons){e.stopPropagation(),t.classList.add("pressed"),i=Date.now(),"touchstart"===e.type&&(o=e.changedTouches[0].identifier);const n=t.getAttribute("data-"+s.config.namespace+"command-pressed");n&&s.perform(JSON.parse(n));const l=t.getAttribute("data-"+s.config.namespace+"command-pressAndHoldStart");l&&(a=t,r&&clearTimeout(r),r=window.setTimeout(function(){t.classList.contains("pressed")&&s.perform(JSON.parse(l))},300))}}),Si(t,"mouseleave touchcancel",function(){t.classList.remove("pressed")}),Si(t,"touchmove:passive",function(t){t.preventDefault();for(let e=0;e<t.changedTouches.length;e++)if(t.changedTouches[e].identifier===o){const s=document.elementFromPoint(t.changedTouches[e].clientX,t.changedTouches[e].clientY);s!==n&&n&&(n.dispatchEvent(new MouseEvent("mouseleave"),{bubbles:!0}),n=null),s&&(n=s,s.dispatchEvent(new MouseEvent("mouseenter",{bubbles:!0,buttons:1})))}}),Si(t,"mouseenter",function(e){1===e.buttons&&t.classList.add("pressed")}),Si(t,"mouseup touchend click",function(e){if(n){e.stopPropagation(),e.preventDefault();const t=n;return n=null,void t.dispatchEvent(new MouseEvent("mouseup",{bubbles:!0}))}if(t.classList.remove("pressed"),t.classList.add("active"),"click"===e.type&&0!==e.detail)return e.stopPropagation(),void e.preventDefault();window.setTimeout(function(){t.classList.remove("active")},150);let o=t.getAttribute("data-"+s.config.namespace+"command-pressAndHoldEnd");const r=Date.now();(t!==a||r<i+300)&&(o=void 0),!o&&e.altKey&&e.shiftKey&&(o=t.getAttribute("data-"+s.config.namespace+"command-altshift")),!o&&e.altKey&&(o=t.getAttribute("data-"+s.config.namespace+"command-alt")),!o&&e.shiftKey&&(o=t.getAttribute("data-"+s.config.namespace+"command-shift")),o||(o=t.getAttribute("data-"+s.config.namespace+"command")),o&&s.perform(JSON.parse(o)),e.stopPropagation(),e.preventDefault()})},_i.prototype._makeButton=function(t,e,s,i){const a=document.createElement("span");return a.innerHTML=t,e&&a.classList.add([].slice.call(e.split(" "))),s&&a.setAttribute("aria-label",s),this._attachButtonHandlers(a,i),a},_i.prototype.showAlternateKeys_=function(t,e){const s=Mi("mathlive-alternate-keys-panel","ML__keyboard alternate-keys");this.virtualKeyboard.classList.contains("material")&&s.classList.add("material"),e.length>=7?s.style.width="286px":4===e.length||2===e.length?s.style.width="146px":1===e.length?s.style.width="86px":s.style.width="146px",s.style.height="auto";let i="";for(const t of e)i+="<li","string"==typeof t?i+=' data-latex="'+t.replace(/"/g,"&quot;")+'"':(t.latex&&(i+=' data-latex="'+t.latex.replace(/"/g,"&quot;")+'"'),t.content&&(i+=' data-content="'+t.content.replace(/"/g,"&quot;")+'"'),t.insert&&(i+=' data-insert="'+t.insert.replace(/"/g,"&quot;")+'"'),t.command&&(i+=" data-command='"+t.command.replace(/"/g,"&quot;")+"'"),t.aside&&(i+=' data-aside="'+t.aside.replace(/"/g,"&quot;")+'"'),t.classes&&(i+=' data-classes="'+t.classes+'"')),i+=">",i+=t.label||"",i+="</li>";i="<ul>"+i+"</ul>",s.innerHTML=i,As.makeKeycap(this,s.getElementsByTagName("li"),"performAlternateKeys");const a=this.virtualKeyboard.querySelector('div.keyboard-layer.is-visible div.rows ul li[data-alt-keys="'+t+'"]').getBoundingClientRect();if(a){a.top-s.clientHeight<0&&(s.style.width="auto",e.length<=6?s.style.height="56px":e.length<=12?s.style.height="108px":s.style.height="205px");const t=(a.top-s.clientHeight+5).toString()+"px",i=Math.max(0,Math.min(window.innerWidth-s.offsetWidth,(a.left+a.right-s.offsetWidth)/2))+"px";s.style.transform="translate("+i+","+t+")",s.classList.add("is-visible")}return!1},_i.prototype.hideAlternateKeys_=function(){const t=document.getElementById("mathlive-alternate-keys-panel");return t&&(t.classList.remove("is-visible"),t.innerHTML="",Ci(t)),!1},_i.prototype.performAlternateKeys_=function(t){return this.hideAlternateKeys_(),this.perform(t)},_i.prototype.switchKeyboardLayer_=function(t){if("off"!==this.config.virtualKeyboardMode){"lower-command"!==t&&"upper-command"!==t&&"symbols-command"!==t&&this.complete_(),this.showVirtualKeyboard_(),this.hideAlternateKeys_(),this.unshiftKeyboardLayer_();const e=this.virtualKeyboard.getElementsByClassName("keyboard-layer");let s=!1;for(let i=0;i<e.length;i++)if(e[i].id===t){s=!0;break}if(s)for(let s=0;s<e.length;s++)e[s].id===t?e[s].classList.add("is-visible"):e[s].classList.remove("is-visible");this.focus()}return!0},_i.prototype.shiftKeyboardLayer_=function(){const t=this.virtualKeyboard.querySelectorAll("div.keyboard-layer.is-visible .rows .keycap, div.keyboard-layer.is-visible .rows .action");if(t)for(let e=0;e<t.length;e++){const s=t[e];let i=s.getAttribute("data-shifted");if(i||/^[a-z]$/.test(s.innerHTML)){s.setAttribute("data-unshifted-content",s.innerHTML),i||(i=s.innerHTML.toUpperCase()),s.innerHTML=i;const t=s.getAttribute("data-"+this.config.namespace+"command");if(t){s.setAttribute("data-unshifted-command",t);const e=s.getAttribute("data-shifted-command");if(e)s.setAttribute("data-"+this.config.namespace+"command",e);else{const e=JSON.parse(t);Array.isArray(e)&&(e[1]=e[1].toUpperCase()),s.setAttribute("data-"+this.config.namespace+"command",JSON.stringify(e))}}}}return!1},_i.prototype.unshiftKeyboardLayer_=function(){const t=this.virtualKeyboard.querySelectorAll("div.keyboard-layer.is-visible .rows .keycap, div.keyboard-layer.is-visible .rows .action");if(t)for(let e=0;e<t.length;e++){const s=t[e],i=s.getAttribute("data-unshifted-content");i&&(s.innerHTML=i);const a=s.getAttribute("data-unshifted-command");a&&s.setAttribute("data-"+this.config.namespace+"command",a)}return!1},_i.prototype.insertAndUnshiftKeyboardLayer_=function(t){return this.insert_(t),this.unshiftKeyboardLayer_(),!0},_i.prototype.toggleVirtualKeyboardAlt_=function(){let t=!1;return this.virtualKeyboard&&(t=this.virtualKeyboard.classList.contains("material"),this.virtualKeyboard.remove(),delete this.virtualKeyboard,this.virtualKeyboard=null),this.showVirtualKeyboard_(t?"":"material"),!1},_i.prototype.toggleVirtualKeyboardShift_=function(){this.config.virtualKeyboardLayout={qwerty:"azerty",azerty:"qwertz",qwertz:"dvorak",dvorak:"colemak",colemak:"qwerty"}[this.config.virtualKeyboardLayout];let t=this.virtualKeyboard?this.virtualKeyboard.querySelector("div.keyboard-layer.is-visible"):null;return t=t?t.id:"",this.virtualKeyboard&&(this.virtualKeyboard.remove(),delete this.virtualKeyboard,this.virtualKeyboard=null),this.showVirtualKeyboard_(),t&&this.switchKeyboardLayer_(t),!1},_i.prototype.showVirtualKeyboard_=function(t){return this.virtualKeyboardVisible=!1,this.toggleVirtualKeyboard_(t),!1},_i.prototype.hideVirtualKeyboard_=function(){return this.virtualKeyboardVisible=!0,this.toggleVirtualKeyboard_(),!1},_i.prototype.toggleVirtualKeyboard_=function(t){if(this.virtualKeyboardVisible=!this.virtualKeyboardVisible,this.virtualKeyboardVisible){this.virtualKeyboard?this.virtualKeyboard.classList.add("is-visible"):(this.virtualKeyboard=As.make(this,t),Si(this.virtualKeyboard,"touchstart:passive mousedown",function(){e.focus()}),document.body.appendChild(this.virtualKeyboard));const e=this;window.setTimeout(function(){e.virtualKeyboard.classList.add("is-visible")},1)}else this.virtualKeyboard&&this.virtualKeyboard.classList.remove("is-visible");return"function"==typeof this.config.onVirtualKeyboardToggle&&this.config.onVirtualKeyboardToggle(this,this.virtualKeyboardVisible,this.virtualKeyboard),!1},_i.prototype.$applyStyle=_i.prototype.applyStyle_=function(t){if(this._resetKeystrokeBuffer(),t.mode)if(this.mathlist.isCollapsed())this.switchMode_("math"===this.mode?"text":"math");else{const t=this.mode,e="math"===(this.mathlist.anchorMode()||this.config.default)?"text":"math";let s=this.$selectedText("ASCIIMath");if("math"===e&&/^"[^"]+"$/.test(s)&&(s=s.slice(1,-1)),this.insert(s,{mode:e,selectionMode:"item",format:"text"===e?"text":"ASCIIMath"}),this.mode=e,this.groupIsSelected()){const t=this.mathlist.parent();!t||"group"!==t.type&&"root"!==t.type||(t.mode=e)}this.mode!==t&&"function"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode)}else this.mathlist.isCollapsed()?this.style=t:(this.mathlist._applyStyle(t),this.undoManager.snapshot(this.config));return!0},_i.prototype.hasFocus=_i.prototype.$hasFocus=function(){return document.hasFocus()&&document.activeElement===this.textarea},_i.prototype.focus=_i.prototype.$focus=function(){this.hasFocus()||(this.textarea.focus&&this.textarea.focus(),this._announce("line"))},_i.prototype.blur=_i.prototype.$blur=function(){this.hasFocus()&&this.textarea.blur&&this.textarea.blur()},_i.prototype.select=_i.prototype.$select=function(){this.mathlist.selectAll_()},_i.prototype.clearSelection=_i.prototype.$clearSelection=function(){this.mathlist.delete_()},_i.prototype.keystroke=_i.prototype.$keystroke=function(t,e){return this._onKeystroke(t,e)},_i.prototype.typedText=_i.prototype.$typedText=function(t){this._onTypedText(t)},_i.prototype.typedText_=function(t,e){return this._onTypedText(t,e)},_i.prototype.setConfig=_i.prototype.$setConfig=function(t){if(this.config||(this.config={smartFence:!0,smartSuperscript:!0,scriptDepth:[1/0,1/0],removeExtraneousParentheses:!0,overrideDefaultInlineShortcuts:!1,virtualKeyboard:"",virtualKeyboardLayout:"qwerty",namespace:""}),this.config={...this.config,...t},!Array.isArray(this.config.scriptDepth)){const t=parseInt(this.config.scriptDepth);this.config.scriptDepth=[t,t]}if(void 0===this.config.removeExtraneousParentheses&&(this.config.removeExtraneousParentheses=!0),this.config.onAnnounce=t.onAnnounce||Ei,this.config.macros=Object.assign({},Nt.MACROS,this.config.macros),!/^[a-z]*[-]?$/.test(this.config.namespace))throw Error("options.namespace must be a string of lowercase characters only");/-$/.test(this.config.namespace)||(this.config.namespace+="-"),us.locale=this.config.locale||us.locale,us.merge(this.config.strings),this.keypressSound=void 0,this.spacebarKeypressSound=void 0,this.returnKeypressSound=void 0,this.deleteKeypressSound=void 0,this.config.keypressSound&&("string"==typeof this.config.keypressSound?(this.keypressSound=new Audio,this.keypressSound.preload="none",this.keypressSound.src=this.config.keypressSound,this.keypressSound.volume=.5,this.spacebarKeypressSound=this.keypressSound,this.returnKeypressSound=this.keypressSound,this.deleteKeypressSound=this.keypressSound):(this.keypressSound=new Audio,this.keypressSound.preload="none",this.keypressSound.src=this.config.keypressSound.default,this.keypressSound.volume=.5,this.spacebarKeypressSound=this.keypressSound,this.returnKeypressSound=this.keypressSound,this.deleteKeypressSound=this.keypressSound,this.config.keypressSound.spacebar&&(this.spacebarKeypressSound=new Audio,this.spacebarKeypressSound.preload="none",this.spacebarKeypressSound.src=this.config.keypressSound.spacebar,this.spacebarKeypressSound.volume=.5),this.config.keypressSound.return&&(this.returnKeypressSound=new Audio,this.returnKeypressSound.preload="none",this.returnKeypressSound.src=this.config.keypressSound.return,this.returnKeypressSound.volume=.5),this.config.keypressSound.delete&&(this.deleteKeypressSound=new Audio,this.deleteKeypressSound.preload="none",this.deleteKeypressSound.src=this.config.keypressSound.delete,this.deleteKeypressSound.volume=.5))),this.config.plonkSound&&(this.plonkSound=new Audio,this.plonkSound.preload="none",this.plonkSound.src=this.config.plonkSound,this.plonkSound.volume=.5)},_i.prototype._speakWithSynchronizedHighlighting=function(t){this.config.handleReadAloud&&this.config.handleReadAloud(this.field,t,this.config)},_i.prototype._speak=function(t){this.config.handleSpeak&&this.config.handleSpeak(t,this.config)},_i.prototype.speakSelection_=function(){let t="Nothing selected.";return this.mathlist.isCollapsed()||(t=ge.toSpeakableText(this.mathlist.getSelectedAtoms(),this.config)),this._speak(t),!1},_i.prototype.speakSelectionWithSynchronizedHighlighting_=function(){if(this.mathlist.isCollapsed())this._speak("Nothing selected.");else{window.mathlive.readAloudMathField=this,this._render({forHighlighting:!0});const t=this.config;t.textToSpeechMarkup=window.sre&&"sre"===t.textToSpeechRules?"ssml_step":"ssml";const e=ge.toSpeakableText(this.mathlist.getSelectedAtoms(),t);this._speakWithSynchronizedHighlighting(e)}return!1},_i.prototype.speakParent_=function(){let t="No parent.";const e=this.mathlist.parent();return e&&"root"!==e.type&&(t=ge.toSpeakableText(this.mathlist.parent(),this.config)),this._speak(t),!1},_i.prototype.speakRightSibling_=function(){let t="At the end.";const e=this.mathlist.siblings(),s=this.mathlist.startOffset()+1;if(s<e.length-1){const i=[];for(let t=s;t<=e.length-1;t++)i.push(e[t]);t=ge.toSpeakableText(i,this.config)}return this._speak(t),!1},_i.prototype.speakLeftSibling_=function(){let t="At the beginning.";const e=this.mathlist.siblings(),s=this.mathlist.isCollapsed()?this.mathlist.startOffset():this.mathlist.startOffset()-1;if(s>=1){const i=[];for(let t=1;t<=s;t++)i.push(e[t]);t=ge.toSpeakableText(i,this.config)}return this._speak(t),!1},_i.prototype.speakGroup_=function(){return this._speak(ge.toSpeakableText(this.mathlist.siblings(),this.config)),!1},_i.prototype.speakAll_=function(){return this._speak(ge.toSpeakableText(this.mathlist.root,this.config)),!1},_i.prototype.speakAllWithSynchronizedHighlighting_=function(){window.mathlive.readAloudMathField=this,this._render({forHighlighting:!0});const t=this.config;t.textToSpeechMarkup=window.sre&&"sre"===t.textToSpeechRules?"ssml_step":"ssml";const e=ge.toSpeakableText(this.mathlist.root,t);return this._speakWithSynchronizedHighlighting(e),!1};var qi={MathField:_i};function zi(t,e,s){let i=s,a=0;const o=t.length;for(;i<e.length;){const s=e[i];if(a<=0&&e.slice(i,i+o)===t)return i;"\\"===s?i++:"{"===s?a++:"}"===s&&a--,i++}return-1}function Ii(t,e,s,i){const a=[];for(let o=0;o<t.length;o++)if("text"===t[o].type){const n=t[o].data;let r,l=!0,c=0;-1!==(r=n.indexOf(e))&&((c=r)>0&&a.push({type:"text",data:n.slice(0,c)}),l=!1);let h=!1;for(;!h;){if(l){if(-1===(r=n.indexOf(e,c))){h=!0;break}c!==r&&a.push({type:"text",data:n.slice(c,r)}),c=r}else{if(-1===(r=zi(s,n,c+e.length))){h=!0;break}a.push({type:"math",data:n.slice(c+e.length,r),rawData:n.slice(c,r+s.length),mathstyle:i}),c=r+s.length}l=!l}c<n.length&&a.push({type:"text",data:n.slice(c)})}else a.push(t[o]);return a}function Bi(t,e){let s=[{type:"text",data:t}];for(let t=0;t<e.inline.length;t++){const i=e.inline[t];s=Ii(s,i[0],i[1],"textstyle")}for(let t=0;t<e.display.length;t++){const i=e.display[t];s=Ii(s,i[0],i[1],"displaystyle")}return s}function Pi(t,e,s,i){const a=function(t,e,s,i){let a=document.createElement("span");a.setAttribute("aria-hidden","true"),e.preserveOriginalContent&&(a.setAttribute("data-"+e.namespace+"original-content",t),s&&a.setAttribute("data-"+e.namespace+"original-mathstyle",s));try{a.innerHTML=e.renderToMarkup(t,s||"displaystyle","html",e.macros)}catch(e){if(!i)return null;a=document.createTextNode(t)}return a}(t,s,e,i);if(a&&/\b(mathml|speakable-text)\b/i.test(s.renderAccessibleContent)){const e=document.createDocumentFragment();if(/\bmathml\b/i.test(s.renderAccessibleContent)&&s.renderToMathML&&e.appendChild(function(t,e){const s=document.createElement("span");try{s.innerHTML="<math xmlns='http://www.w3.org/1998/Math/MathML'>"+e.renderToMathML(t,e)+"</math>"}catch(e){s.textContent=t}return s.className="sr-only",s}(t,s)),/\bspeakable-text\b/i.test(s.renderAccessibleContent)&&s.renderToSpeakableText){const i=document.createElement("span");i.innerHTML=s.renderToSpeakableText(t,s),i.className="sr-only",e.appendChild(i)}return e.appendChild(a),e}return a}function Ri(t,e){let s=null;if(e.TeX.processEnvironments&&/^\s*\\begin/.test(t))(s=document.createDocumentFragment()).appendChild(Pi(t,void 0,e,!0));else{const i=Bi(t,e.TeX.delimiters);if(1===i.length&&"text"===i[0].type)return null;s=document.createDocumentFragment();for(let t=0;t<i.length;t++)"text"===i[t].type?s.appendChild(document.createTextNode(i[t].data)):s.appendChild(Pi(i[t].data,i[t].mathstyle,e,!0))}return s}const Oi={namespace:"",skipTags:["noscript","style","textarea","pre","code","annotation","annotation-xml"],processScriptType:"math/tex",ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",preserveOriginalContent:!0,renderAccessibleContent:"mathml",TeX:{disabled:!1,processEnvironments:!0,delimiters:{inline:[["\\(","\\)"]],display:[["$$","$$"],["\\[","\\]"]]}}};var Ki={renderMathInElement:function(t,e){try{if((e=Object.assign({},Oi,e)).ignoreClassPattern=new RegExp(e.ignoreClass),e.processClassPattern=new RegExp(e.processClass),e.processScriptTypePattern=new RegExp(e.processScriptType),e.macros=Nt.MACROS,e.namespace){if(!/^[a-z]+[-]?$/.test(e.namespace))throw Error("options.namespace must be a string of lowercase characters only");/-$/.test(e.namespace)||(e.namespace+="-")}!function t(e,s){const i=e.getAttribute("data-"+s.namespace+"original-content");if(i){const t=Pi(i,e.getAttribute("data-"+s.namespace+"mathstyle"),s,!1);null!=t&&(e.textContent="",e.appendChild(t))}else{if(1===e.childNodes.length&&3===e.childNodes[0].nodeType){const t=e.childNodes[0].textContent;if(s.TeX.processEnvironments&&/^\s*\\begin/.test(t))return e.textContent="",void e.appendChild(Pi(t,void 0,s,!0));const i=Bi(t,s.TeX.delimiters);if(1===i.length&&"math"===i[0].type)return e.textContent="",void e.appendChild(Pi(i[0].data,i[0].mathstyle,s,!0));if(1===i.length&&"text"===i[0].type)return}for(let i=0;i<e.childNodes.length;i++){const a=e.childNodes[i];if(3===a.nodeType){const t=Ri(a.textContent,s);t&&(i+=t.childNodes.length-1,e.replaceChild(t,a))}else if(1===a.nodeType){const e=a.nodeName.toLowerCase();if("script"===e&&s.processScriptTypePattern.test(a.type)){let t="displaystyle";for(const e of a.type.split(";")){const s=e.split("=");"mode"===s[0].toLowerCase()&&(t="display"===s[1].toLoweCase()?"displaystyle":"textstyle")}const e=Pi(a.textContent,t,s,!0);a.parentNode.replaceChild(e,a)}else(s.processClassPattern.test(a.className)||!s.skipTags.includes(e)&&!s.ignoreClassPattern.test(a.className))&&t(a,s)}}}}(t,e)}catch(t){Error}}};function Ni(t,e,s,i){e=e||"displaystyle";const a=x.tokenize(t),o=Ce.parseTokens(a,"math",null,i);if("mathlist"===s)return o;let n=ge.decompose({mathstyle:e},o);if(n=ot.coalesce(n),"span"===s)return n;const r=ot.makeSpan(n,"ML__base"),l=ot.makeSpan("","ML__strut");l.setStyle("height",r.height,"em");const c=[l];if(0!==r.depth){const t=ot.makeSpan("","ML__strut--bottom");t.setStyle("height",r.height+r.depth,"em"),t.setStyle("vertical-align",-r.depth,"em"),c.push(t)}return c.push(r),ot.makeSpan(c,"ML__mathlive").toMarkup()}function $i(t,e){if(!ge.toMathML)return"";(e=e||{}).macros=e.macros||{},Object.assign(e.macros,Nt.MACROS);const s=Ce.parseTokens(x.tokenize(t),"math",null,e.macros);return ge.toMathML(s,e)}function Wi(t,e){if(!ge.toSpeakableText)return"";(e=e||{}).macros=e.macros||{},Object.assign(e.macros,Nt.MACROS);const s=Ce.parseTokens(x.tokenize(t),"math",null,e.macros);return ge.toSpeakableText(s,e)}function Vi(t,e){if(!e&&window&&window.mathlive&&(e=window.mathlive.config),(e=e||{}).speechEngine&&"local"!==e.speechEngine)if("amazon"===e.speechEngine)if(window&&window.AWS){const s=new window.AWS.Polly({apiVersion:"2016-06-10"}),i={OutputFormat:"mp3",VoiceId:e.speechEngineVoice||"Joanna",Text:t,TextType:"ssml"};s.synthesizeSpeech(i,function(t,e){if(t);else if(e&&e.AudioStream){const t=new Uint8Array(e.AudioStream),s=new Blob([t.buffer],{type:"audio/mpeg"}),i=URL.createObjectURL(s);new Audio(i).play().catch(t=>void 0)}})}else;else e.speechEngine;else{const e=new SpeechSynthesisUtterance(t);window&&window.speechSynthesis.speak(e)}}function Hi(t,e,s){if(!window)return;if(!s&&window.mathlive&&(s=window.mathlive.config),"amazon"!==(s=s||{}).speechEngine)return void(s.handleSpeak&&s.handleSpeak(e));if(!window.AWS)return;const i=new window.AWS.Polly({apiVersion:"2016-06-10"}),a={OutputFormat:"json",VoiceId:s.speechEngineVoice||"Joanna",Text:e,TextType:"ssml",SpeechMarkTypes:["ssml"]};window.mathlive=window.mathlive||{},window.mathlive.readAloudElement=t;const o=s.onReadAloudStatus||window.mathlive.onReadAloudStatus;i.synthesizeSpeech(a,function(t,e){if(t);else if(e&&e.AudioStream){const t=new TextDecoder("utf-8").decode(new Uint8Array(e.AudioStream));window.mathlive.readAloudMarks=t.split("\n").map(t=>t?JSON.parse(t):{}),window.mathlive.readAloudTokens=[];for(const t of window.mathlive.readAloudMarks)t.value&&window.mathlive.readAloudTokens.push(t.value);window.mathlive.readAloudCurrentMark="",a.OutputFormat="mp3",a.SpeechMarkTypes=[],i.synthesizeSpeech(a,function(t,e){if(t);else if(e&&e.AudioStream){const t=new Uint8Array(e.AudioStream),s=new Blob([t.buffer],{type:"audio/mpeg"}),i=URL.createObjectURL(s);window.mathlive.readAloudAudio?window.mathlive.readAloudAudio.pause():(window.mathlive.readAloudAudio=new Audio,window.mathlive.readAloudAudio.addEventListener("ended",()=>{o&&o(window.mathlive.readAloudMathField,"ended"),window.mathlive.readAloudMathField?(window.mathlive.readAloudMathField._render(),window.mathlive.readAloudElement=null,window.mathlive.readAloudMathField=null,window.mathlive.readAloudTokens=[],window.mathlive.readAloudMarks=[],window.mathlive.readAloudCurrentMark=""):function t(e){e.classList.remove("highlight"),e.children&&Array.from(e.children).forEach(e=>{t(e)})}(window.mathlive.readAloudElement)}),window.mathlive.readAloudAudio.addEventListener("timeupdate",()=>{let t="";const e=1e3*window.mathlive.readAloudAudio.currentTime+100;for(const s of window.mathlive.readAloudMarks)s.time<e&&(t=s.value);window.mathlive.readAloudCurrentMark!==t&&(window.mathlive.readAloudCurrentToken=t,t&&t===window.mathlive.readAloudFinalToken?window.mathlive.readAloudAudio.pause():(window.mathlive.readAloudCurrentMark=t,function t(e,s){s&&e.dataset.atomId!==s?(e.classList.remove("highlight"),e.children&&e.children.length>0&&Array.from(e.children).forEach(e=>{t(e,s)})):(e.classList.add("highlight"),e.children&&e.children.length>0&&Array.from(e.children).forEach(e=>{t(e)}))}(window.mathlive.readAloudElement,window.mathlive.readAloudCurrentMark)))})),window.mathlive.readAloudAudio.src=i,o&&o(window.mathlive.readAloudMathField,"playing"),window.mathlive.readAloudAudio.play()}})}})}function Ui(t){let e=t;if("string"==typeof t&&!(e=document.getElementById(t)))throw Error(`The element with ID "${t}" could not be found.`);return e}function Gi(t,e){Ki&&((e=e||{}).renderToMarkup=e.renderToMarkup||Ni,e.renderToMathML=e.renderToMathML||$i,e.renderToSpeakableText=e.renderToSpeakableText||Wi,e.macros=e.macros||Nt.MACROS,Ki.renderMathInElement(Ui(t),e))}function ji(t){if(t.namespace){if(!/^[a-z]+[-]?$/.test(t.namespace))throw Error("options.namespace must be a string of lowercase characters only");/-$/.test(t.namespace)||(t.namespace+="-")}}export default{latexToMarkup:Ni,latexToMathML:$i,latexToSpeakableText:Wi,latexToAST:function(t,e){if(!ge.toAST)return{};(e=e||{}).macros=e.macros||{},Object.assign(e.macros,Nt.MACROS);const s=Ce.parseTokens(x.tokenize(t),"math",null,e.macros);return ge.toAST(s,e)},makeMathField:function(t,e){if(!qi)throw Error("The MathField module is not loaded.");return(e=e||{}).handleSpeak=e.handleSpeak||Vi,e.handleReadAloud=e.handleReadAloud||Hi,new qi.MathField(Ui(t),e)},renderMathInDocument:function(t){Gi(document.body,t)},renderMathInElement:Gi,revertToOriginalContent:function(t,e){(t=(t=Ui(t)).children[1])instanceof qi.MathField?t.revertToOriginalContent():(ji(e=e||{}),t.innerHTML=t.getAttribute("data-"+(e.namespace||"")+"original-content"))},getOriginalContent:function(t,e){return(t=(t=Ui(t)).children[1])instanceof qi.MathField?t.originalContent:(ji(e=e||{}),t.getAttribute("data-"+(e.namespace||"")+"original-content"))},readAloud:Hi,readAloudStatus:function(){return window?(window.mathlive=window.mathlive||{},window.mathlive.readAloudAudio?window.mathlive.readAloudAudio.paused?"paused":window.mathlive.readAloudAudio.ended?"ready":"playing":"ready"):"unavailable"},pauseReadAloud:function(){window&&(window.mathlive=window.mathlive||{},window.mathlive.readAloudAudio&&(window.mathlive.onReadAloudStatus&&window.mathlive.onReadAloudStatus(window.mathlive.readAloudMathField,"paused"),window.mathlive.readAloudAudio.pause()))},resumeReadAloud:function(){window&&(window.mathlive=window.mathlive||{},window.mathlive.readAloudAudio&&(window.mathlive.onReadAloudStatus&&window.mathlive.onReadAloudStatus(window.mathlive.readAloudMathField,"playing"),window.mathlive.readAloudAudio.play()))},playReadAloud:function(t,e){if(window&&(window.mathlive=window.mathlive||{},window.mathlive.readAloudAudio)){let s=0;if(window.mathlive.readAloudFinalToken=null,t){window.mathlive.readAloudMarks=window.mathlive.readAloudMarks||[];for(const e of window.mathlive.readAloudMarks)e.value===t&&(s=e.time/1e3);let i=window.mathlive.readAloudTokens.indexOf(t);i>=0&&(i+=e)<window.mathlive.readAloudTokens.length&&(window.mathlive.readAloudFinalToken=i)}window.mathlive.readAloudAudio.currentTime=s,window.mathlive.onReadAloudStatus&&window.mathlive.onReadAloudStatus(window.mathlive.readAloudMathField,"playing"),window.mathlive.readAloudAudio.play()}}};
diff --git a/dist/src/addons/maston.js b/dist/src/addons/maston.js
index 0c6e093b7..13aa69c51 100644
--- a/dist/src/addons/maston.js
+++ b/dist/src/addons/maston.js
@@ -44,6 +44,7 @@ const CANONICAL_NAMES = {
     '\\approx':         'approx',
     '\\cong':           'congruent',
     '\\sim':            'similar',
+    '\\equiv':          'equiv',
     '\\pm':             'plusminus',    // PLUS-MINUS SIGN
 
     '\\land':           'and',
@@ -137,6 +138,7 @@ const OP_NAME = {
     'approx':       'approx',
     'congruent':    'congruent',
     'similar':       'similar',
+    'equiv':        'equiv',
     '<':            'lt',
     '>':            'gt',
     '<=':           'le',
@@ -159,6 +161,7 @@ const FUNCTION_TEMPLATE = {
     'approx':                   '%0 \\approx %1',
     'congruent':                '%0 \\cong %1',
     'similar':                  '%0 \\sim %1',
+    'equiv':                    '%0 \\equiv %1',
     'assign':                   '%0 := %1',
     'lt':                       '%0 < %1',
     'gt':                       '%0 > %1',
@@ -326,6 +329,7 @@ const OP_PRECEDENCE = {
 
     // Relational
     'congruent':            265,
+    'equiv':                260,    // MathML: "identical to"
     '=':                    260,
     '!=':                   255,
     '?=':                   255,
@@ -1685,9 +1689,34 @@ MathAtom.MathAtom.prototype.toAST = function(options) {
         case 'array':
             if (this.env.name === 'cardinality') {
                 result = wrapFn('card', parse(this.array, options));
-            } else if (/matrix|pmatrix|bmatrix/.test(this.env.name)) {
-                
-                result = wrapFn('array', parse(this.array, options));
+
+            } else if (/array|matrix|pmatrix|bmatrix/.test(this.env.name)) {                
+                result = { fn: 'array', args: [] };
+                for (const row of this.array) {
+                    result.args.push(row.map(cell => parse(cell, options)));
+                }
+
+            } else if (this.env.name === 'cases') {
+                result = { fn: 'cases', args: [] };
+                for (const row of this.array) {
+                    if (row[0]) {
+                        const statement = [];
+                        statement.push(parse(row[0], options));
+                        let condition = parse(row[1], options);
+                        if (condition) {
+                            if (condition.fn === 'text' && condition.arg) {
+                                if (/^(if|when|for)$/i.test(condition.arg[0].trim() )) {
+                                    condition = condition.arg.filter(
+                                        x => typeof x !== 'string')
+;
+                                }
+                            }
+                        }
+
+                        statement.push(condition || {});
+                        result.args.push(statement);
+                    }
+                }
             }
             break;
 
@@ -1751,7 +1780,8 @@ function filterPresentationAtoms(atoms) {
                 atoms.numer = filterPresentationAtoms(atoms.numer);
             }
             if (atoms.array && Array.isArray(atoms.array)) {
-                atoms.array = filterPresentationAtoms(atoms.array);
+                atoms.array = atoms.array.map(row => row.map(cell => 
+                    filterPresentationAtoms(cell)));
             }
             result = [atoms];
         }
@@ -1780,7 +1810,7 @@ function parseSentence(expr, options) {
                 text += expr.atoms[expr.index].body;
                 expr.index += 1;
             }
-            zones.push(wrapFn('text', text));
+            zones.push(text);
         } else {
             const z = parseExpression(expr, options).ast;
             // Something went wrong in parsing the expression...
@@ -1790,7 +1820,7 @@ function parseSentence(expr, options) {
     }
 
     if (zones.length > 1) {
-        return wrapFn('list0', zones);
+        return wrapFn('text', ...zones);
     }
 
     return zones[0] || undefined;
diff --git a/dist/src/editor/editor-editableMathlist.js b/dist/src/editor/editor-editableMathlist.js
index 36fa13f35..667850d83 100644
--- a/dist/src/editor/editor-editableMathlist.js
+++ b/dist/src/editor/editor-editableMathlist.js
@@ -1565,7 +1565,7 @@ EditableMathlist.prototype.up = function(options) {
         // In an array
         let colRow = arrayColRow(this.parent().array, relation);
         colRow = arrayAdjustRow(this.parent().array, colRow, -1);
-        if (colRow) {
+        if (colRow && arrayCell(colRow)) {
             this.path[this.path.length - 1].relation = 
                 'cell' + arrayIndex(this.parent().array, colRow);
             this.setSelection(this.anchorOffset());
@@ -1602,7 +1602,7 @@ EditableMathlist.prototype.down = function(options) {
         // In an array
         let colRow = arrayColRow(this.parent().array, relation);
         colRow = arrayAdjustRow(this.parent().array, colRow, +1);
-        if (colRow) {
+        if (colRow && arrayCell(colRow)) {
             this.path[this.path.length - 1].relation = 
                 'cell' + arrayIndex(this.parent().array, colRow);
             this.setSelection(this.anchorOffset());
diff --git a/dist/src/editor/editor-shortcuts.js b/dist/src/editor/editor-shortcuts.js
index 707f473f7..8ed8d0ad6 100644
--- a/dist/src/editor/editor-shortcuts.js
+++ b/dist/src/editor/editor-shortcuts.js
@@ -660,6 +660,7 @@ function validateShortcut(siblings, shortcut) {
         array = sibling.array;
         openfence = sibling.type === 'mopen';
         closefence = sibling.type === 'mclose' || sibling.type === 'leftright';
+        space = sibling.type === 'space';
     }
 
     if (typeof shortcut === 'object') {
diff --git a/src/addons/maston.js b/src/addons/maston.js
index 0c6e093b7..13aa69c51 100644
--- a/src/addons/maston.js
+++ b/src/addons/maston.js
@@ -44,6 +44,7 @@ const CANONICAL_NAMES = {
     '\\approx':         'approx',
     '\\cong':           'congruent',
     '\\sim':            'similar',
+    '\\equiv':          'equiv',
     '\\pm':             'plusminus',    // PLUS-MINUS SIGN
 
     '\\land':           'and',
@@ -137,6 +138,7 @@ const OP_NAME = {
     'approx':       'approx',
     'congruent':    'congruent',
     'similar':       'similar',
+    'equiv':        'equiv',
     '<':            'lt',
     '>':            'gt',
     '<=':           'le',
@@ -159,6 +161,7 @@ const FUNCTION_TEMPLATE = {
     'approx':                   '%0 \\approx %1',
     'congruent':                '%0 \\cong %1',
     'similar':                  '%0 \\sim %1',
+    'equiv':                    '%0 \\equiv %1',
     'assign':                   '%0 := %1',
     'lt':                       '%0 < %1',
     'gt':                       '%0 > %1',
@@ -326,6 +329,7 @@ const OP_PRECEDENCE = {
 
     // Relational
     'congruent':            265,
+    'equiv':                260,    // MathML: "identical to"
     '=':                    260,
     '!=':                   255,
     '?=':                   255,
@@ -1685,9 +1689,34 @@ MathAtom.MathAtom.prototype.toAST = function(options) {
         case 'array':
             if (this.env.name === 'cardinality') {
                 result = wrapFn('card', parse(this.array, options));
-            } else if (/matrix|pmatrix|bmatrix/.test(this.env.name)) {
-                
-                result = wrapFn('array', parse(this.array, options));
+
+            } else if (/array|matrix|pmatrix|bmatrix/.test(this.env.name)) {                
+                result = { fn: 'array', args: [] };
+                for (const row of this.array) {
+                    result.args.push(row.map(cell => parse(cell, options)));
+                }
+
+            } else if (this.env.name === 'cases') {
+                result = { fn: 'cases', args: [] };
+                for (const row of this.array) {
+                    if (row[0]) {
+                        const statement = [];
+                        statement.push(parse(row[0], options));
+                        let condition = parse(row[1], options);
+                        if (condition) {
+                            if (condition.fn === 'text' && condition.arg) {
+                                if (/^(if|when|for)$/i.test(condition.arg[0].trim() )) {
+                                    condition = condition.arg.filter(
+                                        x => typeof x !== 'string')
+;
+                                }
+                            }
+                        }
+
+                        statement.push(condition || {});
+                        result.args.push(statement);
+                    }
+                }
             }
             break;
 
@@ -1751,7 +1780,8 @@ function filterPresentationAtoms(atoms) {
                 atoms.numer = filterPresentationAtoms(atoms.numer);
             }
             if (atoms.array && Array.isArray(atoms.array)) {
-                atoms.array = filterPresentationAtoms(atoms.array);
+                atoms.array = atoms.array.map(row => row.map(cell => 
+                    filterPresentationAtoms(cell)));
             }
             result = [atoms];
         }
@@ -1780,7 +1810,7 @@ function parseSentence(expr, options) {
                 text += expr.atoms[expr.index].body;
                 expr.index += 1;
             }
-            zones.push(wrapFn('text', text));
+            zones.push(text);
         } else {
             const z = parseExpression(expr, options).ast;
             // Something went wrong in parsing the expression...
@@ -1790,7 +1820,7 @@ function parseSentence(expr, options) {
     }
 
     if (zones.length > 1) {
-        return wrapFn('list0', zones);
+        return wrapFn('text', ...zones);
     }
 
     return zones[0] || undefined;
diff --git a/src/editor/editor-editableMathlist.js b/src/editor/editor-editableMathlist.js
index 36fa13f35..667850d83 100644
--- a/src/editor/editor-editableMathlist.js
+++ b/src/editor/editor-editableMathlist.js
@@ -1565,7 +1565,7 @@ EditableMathlist.prototype.up = function(options) {
         // In an array
         let colRow = arrayColRow(this.parent().array, relation);
         colRow = arrayAdjustRow(this.parent().array, colRow, -1);
-        if (colRow) {
+        if (colRow && arrayCell(colRow)) {
             this.path[this.path.length - 1].relation = 
                 'cell' + arrayIndex(this.parent().array, colRow);
             this.setSelection(this.anchorOffset());
@@ -1602,7 +1602,7 @@ EditableMathlist.prototype.down = function(options) {
         // In an array
         let colRow = arrayColRow(this.parent().array, relation);
         colRow = arrayAdjustRow(this.parent().array, colRow, +1);
-        if (colRow) {
+        if (colRow && arrayCell(colRow)) {
             this.path[this.path.length - 1].relation = 
                 'cell' + arrayIndex(this.parent().array, colRow);
             this.setSelection(this.anchorOffset());
diff --git a/src/editor/editor-shortcuts.js b/src/editor/editor-shortcuts.js
index 707f473f7..8ed8d0ad6 100644
--- a/src/editor/editor-shortcuts.js
+++ b/src/editor/editor-shortcuts.js
@@ -660,6 +660,7 @@ function validateShortcut(siblings, shortcut) {
         array = sibling.array;
         openfence = sibling.type === 'mopen';
         closefence = sibling.type === 'mclose' || sibling.type === 'leftright';
+        space = sibling.type === 'space';
     }
 
     if (typeof shortcut === 'object') {