{"version":3,"file":"mathlive-8UReNj5z.js","sources":["../../../.yarn/mathlive-https-007785451a-da496847a0.zip/node_modules/mathlive/dist/mathlive.js","../../../.yarn/react-mathlive-https-022c08f6b4-d1402b318a.zip/node_modules/react-mathlive/dist/MathFieldComponent.js","../../../.yarn/react-mathlive-https-022c08f6b4-d1402b318a.zip/node_modules/react-mathlive/dist/index.js"],"sourcesContent":["var global,factory;global=this,factory=function(){const t=0,e=1,i=2,s=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 i=t.charCodeAt(e);if(55296<=i&&i<=56319&&e<t.length-1){const s=i,a=t.charCodeAt(e+1);return 56320<=a&&a<=57343?1024*(s-55296)+(a-56320)+65536:s}if(56320<=i&&i<=57343&&e>=1){const s=t.charCodeAt(e-1),a=i;return 55296<=s&&s<=56319?1024*(s-55296)+(a-56320)+65536:a}return i}function u(u,g){if((g=g||0)<0)return 0;if(g>=u.length-1)return u.length;let y=f(m(u,g));for(let k=g+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 g=f(m(u,k));if(x=g,!((b=y)===p&&x===d||b===s&&x===p||b===p&&x===s||b===t&&x===e||b!==i&&b!==t&&b!==e&&x!==i&&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===s||x===o)))return k;y=g}var b,x;return u.length}function f(m){return 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e.sort((t,e)=>t.frequency===e.frequency?t.match.length-e.match.length:(e.frequency||0)-(t.frequency||0)),e},FREQUENCY_VALUE:rt,TEXT_SYMBOLS:zt,MATH_SYMBOLS:et,ENVIRONMENTS:st,RIGHT_DELIM:{\"(\":\")\",\"{\":\"}\",\"[\":\"]\",\"|\":\"|\",\"\\\\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\"},FUNCTIONS:it,MACROS:{iff:\"\\\\;⟺\\\\;\",nicefrac:\"^{#1}\\\\!\\\\!/\\\\!_{#2}\",bra:\"\\\\mathinner{\\\\langle{#1}|}\",ket:\"\\\\mathinner{|{#1}\\\\rangle}\",braket:\"\\\\mathinner{\\\\langle{#1}\\\\rangle}\",set:\"\\\\mathinner{\\\\lbrace #1 \\\\rbrace}\",Bra:\"\\\\left\\\\langle 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h=\"Size1-Regular\";\"\\\\vert\"===e||\"\\\\lvert\"===e||\"\\\\rvert\"===e||\"\\\\mvert\"===e||\"\\\\mid\"===e?l=n=c=\"∣\":\"\\\\Vert\"===e||\"\\\\lVert\"===e||\"\\\\rVert\"===e||\"\\\\mVert\"===e||\"\\\\|\"===e?l=n=c=\"∥\":\"\\\\uparrow\"===e?l=c=\"⏐\":\"\\\\Uparrow\"===e?l=c=\"‖\":\"\\\\downarrow\"===e?n=l=\"⏐\":\"\\\\Downarrow\"===e?n=l=\"‖\":\"\\\\updownarrow\"===e?(n=\"↑\",l=\"⏐\",c=\"↓\"):\"\\\\Updownarrow\"===e?(n=\"⇑\",l=\"‖\",c=\"⇓\"):\"[\"===e||\"\\\\lbrack\"===e?(n=\"⎡\",l=\"⎢\",c=\"⎣\",h=\"Size4-Regular\"):\"]\"===e||\"\\\\rbrack\"===e?(n=\"⎤\",l=\"⎥\",c=\"⎦\",h=\"Size4-Regular\"):\"\\\\lfloor\"===e?(l=n=\"⎢\",c=\"⎣\",h=\"Size4-Regular\"):\"\\\\lceil\"===e?(n=\"⎡\",l=c=\"⎢\",h=\"Size4-Regular\"):\"\\\\rfloor\"===e?(l=n=\"⎥\",c=\"⎦\",h=\"Size4-Regular\"):\"\\\\rceil\"===e?(n=\"⎤\",l=c=\"⎥\",h=\"Size4-Regular\"):\"(\"===e?(n=\"⎛\",l=\"⎜\",c=\"⎝\",h=\"Size4-Regular\"):\")\"===e?(n=\"⎞\",l=\"⎟\",c=\"⎠\",h=\"Size4-Regular\"):\"\\\\{\"===e||\"\\\\lbrace\"===e?(n=\"⎧\",r=\"⎨\",c=\"⎩\",l=\"⎪\",h=\"Size4-Regular\"):\"\\\\}\"===e||\"\\\\rbrace\"===e?(n=\"⎫\",r=\"⎬\",c=\"⎭\",l=\"⎪\",h=\"Size4-Regular\"):\"\\\\lgroup\"===e?(n=\"⎧\",c=\"⎩\",l=\"⎪\",h=\"Size4-Regular\"):\"\\\\rgroup\"===e?(n=\"⎫\",c=\"⎭\",l=\"⎪\",h=\"Size4-Regular\"):\"\\\\lmoustache\"===e?(n=\"⎧\",c=\"⎭\",l=\"⎪\",h=\"Size4-Regular\"):\"\\\\rmoustache\"===e?(n=\"⎫\",c=\"⎩\",l=\"⎪\",h=\"Size4-Regular\"):\"\\\\surd\"===e?(n=\"\",c=\"⎷\",l=\"\",h=\"Size4-Regular\"):\"\\\\ulcorner\"===e?(n=\"┌\",l=c=\" 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Zt(t,e,i,s,a,o){if(!e||0===e.length||\".\"===e)return Xt(t,a,t);let n;\"<\"===e||\"\\\\lt\"===e?e=\"\\\\langle\":\">\"!==e&&\"\\\\gt\"!==e||(e=\"\\\\rangle\"),n=Ht.includes(e)?Ut:$t.includes(e)?Gt:jt;const r=function(t,e,i,s){for(let o=Math.min(2,3-s.mathstyle.size);o<i.length&&\"stack\"!==i[o].type;o++){const s=C.getCharacterMetrics(t,\"small\"===(a=i[o]).type?\"Main-Regular\":\"large\"===a.type?\"Size\"+a.size+\"-Regular\":\"Size4-Regular\");if(s.defaultMetrics)return{type:\"small\",mathstyle:O.SCRIPT};let n=s.height+s.depth;if(\"small\"===i[o].type&&(n*=i[o].mathstyle.sizeMultiplier),n>e)return i[o]}var a;return i[i.length-1]}(It.getValue(\"math\",e),i,n,a);return\"small\"===r.type?function(t,e,i,s,a,o){const n=Pt(\"Main-Regular\",It.getValue(\"math\",e)),r=Q.makeStyleWrap(t,n,a.mathstyle,i,o);return s&&r.setTop((1-a.mathstyle.sizeMultiplier/i.sizeMultiplier)*a.mathstyle.metrics.axisHeight),r.setStyle(\"color\",a.color),\"number\"==typeof 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Yt=Q.makeSpan,Qt=Q.makeOrd,te=Q.makeInner,ee=Q.makeHlist,ie=Q.makeVlist,se=/\\u0393|\\u0394|\\u0398|\\u039b|\\u039E|\\u03A0|\\u03A3|\\u03a5|\\u03a6|\\u03a8|\\u03a9|[\\u03b1-\\u03c9]|\\u03d1|\\u03d5|\\u03d6|\\u03f1|\\u03f5/,ae=/^([A-Za-z]|[\\u03b1-\\u03c9]|\\u03d1|\\u03d5|\\u03d6|\\u03f1|\\u03f5)$/,oe={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};class ne{constructor(t,e,i,s){this.mode=t,this.type=e,this.body=i,s&&this.applyStyle(s)}getStyle(){return{color:this.phantom?\"transparent\":this.color,backgroundColor:this.phantom?\"transparent\":this.backgroundColor,fontFamily:this.baseFontFamily||this.fontFamily||this.autoFontFamily,fontShape:this.fontShape,fontSeries:this.fontSeries,fontSize:this.fontSize,cssId:this.cssId,cssClass:this.cssClass}}applyStyle(t){if(Object.assign(this,t),\"none\"===this.fontFamily&&(this.fontFamily=\"\",delete this.baseFontFamily),\"auto\"===this.fontShape&&(this.fontShape=\"\"),\"auto\"===this.fontSeries&&(this.fontSeries=\"\"),\"none\"===this.color&&(this.color=\"\"),\"none\"===this.backgroundColor&&(this.backgroundColor=\"\"),\"auto\"===this.fontSize&&(this.fontSize=\"\"),this.fontSize&&(this.maxFontSize=oe[this.fontSize]),\"math\"===this.mode){const t=\"string\"==typeof this.body?this.body:\"\";this.autoFontFamily=\"cmr\",/\\\\imaginary[IJ]/.test(this.latex)?this.autoFontFamily=\"mathbf\":ae.test(t)?this.autoFontFamily=\"math\":/\\\\imath|\\\\jmath|\\\\pounds/.test(t)?this.autoFontFamily=\"mainit\":se.test(t)||\"math\"!==this.baseFontFamily||(this.autoFontFamily=\"cmr\")}else\"text\"===this.mode&&(\"root\"!==this.type&&(this.type=\"\"),delete this.baseFontFamily,delete this.autoFontFamily)}getInitialBaseElement(){let t=this;return Array.isArray(this.body)&&this.body.length>0&&(\"first\"!==this.body[0].type?t=this.body[0].getInitialBaseElement():this.body[1]&&(t=this.body[1].getInitialBaseElement())),t}getFinalBaseElement(){return Array.isArray(this.body)&&this.body.length>0?this.body[this.body.length-1].getFinalBaseElement():this}isCharacterBox(){const t=this.getInitialBaseElement();return/minner|mbin|mrel|mpunct|mopen|mclose|textord/.test(t.type)}forEach(t,e){t(this,e=e||[]);const i=[this,...e];if(Array.isArray(this.body))for(const e of this.body)e&&e.forEach(t,i);else this.body&&\"object\"==typeof this.body&&t(this.body,i);if(this.superscript)for(const e of this.superscript)e&&e.forEach(t,i);if(this.subscript)for(const e of this.subscript)e&&e.forEach(t,i);if(this.overscript)for(const e of this.overscript)e&&e.forEach(t,i);if(this.underscript)for(const e of this.underscript)e&&e.forEach(t,i);if(this.numer)for(const e of this.numer)e&&e.forEach(t,i);if(this.denom)for(const e of this.denom)e&&e.forEach(t,i);if(this.index)for(const e of this.index)e&&e.forEach(t,i);if(this.array)for(const e of this.array)for(const s of e)for(const e of s)e.forEach(t,i)}filter(t){let e=[];t(this)&&e.push(this);for(const i of[\"body\",\"superscript\",\"subscript\",\"overscript\",\"underscript\",\"numer\",\"denom\",\"index\"])if(Array.isArray(this[i]))for(const s of this[i])s&&(e=e.concat(s.filter(t)));if(Array.isArray(this.array))for(const i of this.array)for(const s of i)s&&(e=e.concat(s.filter(t)));return e}decomposeGroup(t){const e=t.clone({mathstyle:this.mathstyle}),i=Qt(he(e,this.body));return this.cssId&&(i.cssId=this.cssId),i.applyStyle({backgroundColor:this.backgroundColor,cssClass:this.cssClass}),i}decomposeArray(t){let e=this.colFormat;e&&0===e.length&&(e=[{align:\"l\"}]),e||(e=[{align:\"l\"},{align:\"l\"},{align:\"l\"},{align:\"l\"},{align:\"l\"},{align:\"l\"},{align:\"l\"},{align:\"l\"},{align:\"l\"},{align:\"l\"}]);const i=[];let s=0;for(const t of e)t.align&&s++;for(const t of this.array){let e=0;for(;e<t.length;){const a=[],o=Math.min(t.length,e+s);for(;e<o;)a.push(t[e++]);i.push(a)}}1===i[i.length-1].length&&0===i[i.length-1][0].length&&i.pop();const a=O.toMathstyle(this.mathstyle)||t.mathstyle,o=(this.arraystretch||1)*w.baselineskip,n=.7*o,r=.3*o;let l=0,c=0;const h=[],p=i.length;for(let e=0;e<p;++e){const s=i[e];c=Math.max(c,s.length);let a=n,o=r;const d=[];for(let e=0;e<s.length;++e){const i=he(t.clone({mathstyle:this.mathstyle}),s[e])||[],n=[Qt(null)].concat(i);o=Math.max(o,Q.depth(n)),a=Math.max(a,Q.height(n)),d.push(n)}let m=e===p-1?0:this.jot||0;this.rowGaps&&this.rowGaps[e]&&(m=this.rowGaps[e])>0&&(o<(m+=r)&&(o=m),m=0),d.height=a,d.depth=o,l+=a,d.pos=l,l+=o+m,h.push(d)}const d=l/2+a.metrics.axisHeight,m=[];for(let e=0;e<c;e++){const i=[];for(const t of h){const s=t[e];s&&(s.depth=t.depth,s.height=t.height,i.push(s),i.push(t.pos-d))}i.length>0&&m.push(ie(t,i,\"individualShift\"))}const u=[];let f=!1,g=!1,y=0,b=!this.lFence;for(const i of e){if(i.align&&y>=m.length)break;if(i.align&&y<m.length)f?u.push(re(2*w.arraycolsep)):(g||b)&&u.push(re(w.arraycolsep)),u.push(Yt(m[y],\"col-align-\"+i.align)),y++,f=!0,g=!1,b=!1;else if(void 0!==i.gap)\"number\"==typeof i.gap?u.push(re(i.gap)):u.push(le(t,h,d,i.gap)),f=!1,g=!1,b=!1;else if(i.rule){const e=Yt(null,\"vertical-separator\");e.setStyle(\"height\",l,\"em\"),e.setStyle(\"margin-top\",3*t.mathstyle.metrics.axisHeight-d,\"em\"),e.setStyle(\"vertical-align\",\"top\");let i=0;g?i=w.doubleRuleSep-w.arrayrulewidth:f&&(i=w.arraycolsep-w.arrayrulewidth),e.setLeft(i,\"em\"),u.push(e),f=!1,g=!0,b=!1}}if(f&&!this.rFence&&u.push(re(w.arraycolsep)),!(this.lFence&&\".\"!==this.lFence||this.rFence&&\".\"!==this.rFence))return Qt(u,\"mtable\");const x=Yt(u,\"mtable\"),k=Q.height(x),v=Q.depth(x);return Qt([this.bind(t,Jt.makeLeftRightDelim(\"mopen\",this.lFence,k,v,t)),x,this.bind(t,Jt.makeLeftRightDelim(\"mclose\",this.rFence,k,v,t))])}decomposeGenfrac(t){const e=\"auto\"===this.mathstyle?t.mathstyle:O.toMathstyle(this.mathstyle),i=t.clone({mathstyle:e});let s=[];this.numerPrefix&&s.push(Qt(this.numerPrefix));const a=this.continuousFraction?e:e.fracNum();s=s.concat(he(i.clone({mathstyle:a}),this.numer));const o=ee(s,t.mathstyle.adjustTo(a));let n=[];this.denomPrefix&&n.push(Qt(this.denomPrefix));const r=this.continuousFraction?e:e.fracDen();n=n.concat(he(i.clone({mathstyle:r}),this.denom));const l=ee(n,t.mathstyle.adjustTo(r)),c=this.hasBarLine?w.defaultRuleThickness/e.sizeMultiplier:0;let h,p,d;e.size===O.DISPLAY.size?(h=e.metrics.num1,p=c>0?3*c:7*w.defaultRuleThickness,d=e.metrics.denom1):(c>0?(h=e.metrics.num2,p=c):(h=e.metrics.num3,p=3*w.defaultRuleThickness),d=e.metrics.denom2);const m=o?o.depth:0,u=l?l.height:0;let f;if(0===c){const t=h-m-(u-d);t<p&&(h+=.5*(p-t),d+=.5*(p-t)),f=ie(i,[o,-h,l,d],\"individualShift\")}else{const t=e.metrics.axisHeight;h-m-(t+.5*c)<p&&(h+=p-(h-m-(t+.5*c))),t-.5*c-(u-d)<p&&(d+=p-(t-.5*c-(u-d)));const s=Yt(null,\" frac-line\");s.applyStyle(this.getStyle()),s.height=c;const a=[];o&&(a.push(o),a.push(-h)),a.push(s),a.push(c/2-t),l&&(a.push(l),a.push(d)),f=ie(i,a,\"individualShift\")}f.classes+=\" mfrac\",f.height*=e.sizeMultiplier/t.mathstyle.sizeMultiplier,f.depth*=e.sizeMultiplier/t.mathstyle.sizeMultiplier;const g=e.size===O.DISPLAY.size?e.metrics.delim1:e.metrics.delim2,y=Jt.makeCustomSizedDelim(\"mopen\",this.leftDelim,g,!0,t.clone({mathstyle:e})),b=Jt.makeCustomSizedDelim(\"mclose\",this.rightDelim,g,!0,t.clone({mathstyle:e}));y.applyStyle(this.getStyle()),b.applyStyle(this.getStyle());const x=Qt([y,f,b],t.parentSize!==t.size?\"sizing reset-\"+t.parentSize+\" \"+t.size:\"\");return this.bind(t,x)}decomposeLeftright(t){if(!this.body)return this.leftDelim?new ne(\"math\",\"mopen\",this.leftDelim).decompose(t):this.rightDelim?new ne(\"math\",\"mclose\",this.rightDelim).decompose(t):null;const e=t.clone(),i=he(e,this.body),s=e.mathstyle;let a=0,o=0,n=[];if(a=Q.height(i)*s.sizeMultiplier,o=Q.depth(i)*s.sizeMultiplier,this.leftDelim&&(n.push(Jt.makeLeftRightDelim(\"mopen\",this.leftDelim,a,o,e)),n[n.length-1].applyStyle(this.getStyle())),i){for(let t=0;t<i.length;t++)if(i[t].delim){const s=i[t].caret,n=/ML__selected/.test(i[t].classes);i[t]=Jt.makeLeftRightDelim(\"minner\",i[t].delim,a,o,e),i[t].caret=s,i[t].selected(n)}n=n.concat(i)}if(this.rightDelim){let t,i=this.rightDelim;\"?\"===i&&(i=(i={\"(\":\")\",\"\\\\{\":\"\\\\}\",\"\\\\[\":\"\\\\]\",\"\\\\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,t=\"ML__smart-fence__close\"),n.push(Jt.makeLeftRightDelim(\"mclose\",i,a,o,e,t)),n[n.length-1].applyStyle(this.getStyle())}return this.inner?te(n,s.cls()):n}decomposeSurd(t){const e=t.mathstyle,i=he(t.cramp(),this.body),s=w.defaultRuleThickness*e.sizeMultiplier;let a=s;e.id<O.TEXT.id&&(a=e.metrics.xHeight);let o=s+a/4;const n=Q.height(i)+Q.depth(i),r=Math.max(2*a,n*e.sizeMultiplier)+(o+s),l=Yt(Jt.makeCustomSizedDelim(\"\",\"\\\\surd\",r,!1,t),\"sqrt-sign\");l.applyStyle(this.getStyle());const c=(l.height+l.depth)*e.sizeMultiplier-s;c>n+o&&(o=(o+c-n)/2);const h=l.height-Q.height(i)-o-s;l.setTop(h);const p=Yt(null,t.mathstyle.adjustTo(O.TEXT)+\" sqrt-line\");p.applyStyle(this.getStyle()),p.height=s;const d=ie(t,[i,o,p,s]);if(!this.index)return this.bind(t,Qt([l,d],\"sqrt\"));const m=t.clone({mathstyle:O.SCRIPTSCRIPT}),u=Yt(he(m,this.index),e.adjustTo(O.SCRIPTSCRIPT)),f=Math.max(l.height,d.height),g=Math.max(l.depth,d.depth),y=ie(t,[u],\"shift\",-.6*(f-g));return this.bind(t,Qt([Yt(y,\"root\"),l,d],\"sqrt\"))}decomposeAccent(t){const e=t.mathstyle;let i=he(t.cramp(),this.body);(this.superscript||this.subscript)&&(i=this.attachSupsub(t,Qt(i),\"mord\"));let s=0;Array.isArray(this.body)&&1===this.body.length&&this.body[0].isCharacterBox()&&(s=Q.skew(i));const a=Math.min(Q.height(i),e.metrics.xHeight),o=Q.makeSymbol(\"Main-Regular\",this.accent,\"math\");o.italic=0;const n=\"⃗\"===this.accent?\" accent-vec\":\"ˆ\"===this.accent?\" accent-hat\":\"\";let r=Yt(Yt(o),\"accent-body\"+n);return(r=ie(t,[i,-a,r])).children[1].setLeft(2*s),Qt(r,\"accent\")}decomposeLine(t){const e=t.mathstyle,i=he(t.cramp(),this.body),s=w.defaultRuleThickness/e.sizeMultiplier,a=Yt(null,t.mathstyle.adjustTo(O.TEXT)+\" \"+this.position+\"-line\");let o;if(a.height=s,a.maxFontSize=1,\"overline\"===this.position)o=ie(t,[i,3*s,a,s]);else{const e=Yt(i);o=ie(t,[s,a,3*s,e],\"top\",Q.height(e))}return Qt(o,this.position)}decomposeOverunder(t){const e=he(t,this.body),i=t.clone({mathstyle:\"scriptstyle\"}),s=this.overscript?Yt(he(i,this.overscript),t.mathstyle.adjustTo(i.mathstyle)):null,a=this.underscript?Yt(he(i,this.underscript),t.mathstyle.adjustTo(i.mathstyle)):null;return ce(t,e,0,0,s,a,this.mathtype||\"mrel\")}decomposeOverlap(t){const e=Yt(he(t,this.body),\"inner\");return Qt([e,Yt(null,\"fix\")],\"left\"===this.align?\"llap\":\"rlap\")}decomposeRule(t){const e=t.mathstyle,i=Qt(\"\",\"rule\");let s=this.shift&&!isNaN(this.shift)?this.shift:0;s/=e.sizeMultiplier;const a=this.width/e.sizeMultiplier,o=this.height/e.sizeMultiplier;return i.setStyle(\"border-right-width\",a,\"em\"),i.setStyle(\"border-top-width\",o,\"em\"),i.setStyle(\"margin-top\",-(o-s),\"em\"),i.setStyle(\"border-color\",t.color),i.width=a,i.height=o+s,i.depth=-s,i}decomposeOp(t){const e=t.mathstyle;let i,s=!1;e.size===O.DISPLAY.size&&\"string\"==typeof this.body&&\"\\\\smallint\"!==this.body&&(s=!0);let a=0,o=0;if(this.symbol){const n=s?\"Size2-Regular\":\"Size1-Regular\";(i=Q.makeSymbol(n,this.body,\"op-symbol \"+(s?\"large-op\":\"small-op\"))).type=\"mop\",a=(i.height-i.depth)/2-e.metrics.axisHeight*e.sizeMultiplier,o=i.italic,this.bind(t,i)}else Array.isArray(this.body)?(i=Q.makeOp(he(t,this.body)),this.bind(t,i)):i=this.makeSpan(t,this.body);if(this.superscript||this.subscript){const s=this.limits||\"auto\";return this.alwaysHandleSupSub||\"limits\"===s||\"auto\"===s&&e.size===O.DISPLAY.size?this.attachLimits(t,i,a,o):this.attachSupsub(t,i,\"mop\")}return this.symbol&&i.setTop(a),i}decomposeBox(t){const e=Qt(he(t,this.body)),i=Yt();i.setStyle(\"position\",\"absolute\");const s=\"number\"==typeof this.padding?this.padding:w.fboxsep;i.setStyle(\"height\",e.height+e.depth+2*s,\"em\"),0!==s?i.setStyle(\"width\",\"calc(100% + \"+2*s+\"em)\"):i.setStyle(\"width\",\"100%\"),i.setStyle(\"top\",-s,\"em\"),i.setStyle(\"left\",-s,\"em\"),i.setStyle(\"z-index\",\"-1\"),this.backgroundcolor&&i.setStyle(\"background-color\",this.backgroundcolor),this.framecolor&&i.setStyle(\"border\",w.fboxrule+\"em solid \"+this.framecolor),this.border&&i.setStyle(\"border\",this.border),e.setStyle(\"display\",\"inline-block\"),e.setStyle(\"height\",e.height+e.depth,\"em\"),e.setStyle(\"vertical-align\",-e.depth+s,\"em\");const a=Yt([i,e]);return a.setStyle(\"position\",\"relative\"),a.setStyle(\"vertical-align\",-s+e.depth,\"em\"),a.height=e.height+s,a.depth=e.depth+s,a.setLeft(s),a.setRight(s),a}decomposeEnclose(t){const e=Qt(he(t,this.body)),i=\"auto\"===this.padding?.2:this.padding;e.setStyle(\"padding\",i,\"em\"),e.setStyle(\"display\",\"inline-block\"),e.setStyle(\"height\",e.height+e.depth,\"em\"),e.setStyle(\"left\",-i,\"em\"),this.backgroundcolor&&\"transparent\"!==this.backgroundcolor&&e.setStyle(\"background-color\",this.backgroundcolor);let s=\"\";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\",(Q.height(e)+Q.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&&(s+='<line x1=\"3%\"  y1=\"50%\" x2=\"97%\" y2=\"50%\"',s+=` stroke-width=\"${this.strokeWidth}\" stroke=\"${this.strokeColor}\"`,s+=' stroke-linecap=\"round\"',this.svgStrokeStyle&&(s+=` stroke-dasharray=\"${this.svgStrokeStyle}\"`),s+=\"/>\"),this.notation.verticalstrike&&(s+='<line x1=\"50%\"  y1=\"3%\" x2=\"50%\" y2=\"97%\"',s+=` stroke-width=\"${this.strokeWidth}\" stroke=\"${this.strokeColor}\"`,s+=' stroke-linecap=\"round\"',this.svgStrokeStyle&&(s+=` stroke-dasharray=\"${this.svgStrokeStyle}\"`),s+=\"/>\"),this.notation.updiagonalstrike&&(s+='<line x1=\"3%\"  y1=\"97%\" x2=\"97%\" y2=\"3%\"',s+=` stroke-width=\"${this.strokeWidth}\" stroke=\"${this.strokeColor}\"`,s+=' stroke-linecap=\"round\"',this.svgStrokeStyle&&(s+=` stroke-dasharray=\"${this.svgStrokeStyle}\"`),s+=\"/>\"),this.notation.downdiagonalstrike&&(s+='<line x1=\"3%\"  y1=\"3%\" x2=\"97%\" y2=\"97%\"',s+=` stroke-width=\"${this.strokeWidth}\" stroke=\"${this.strokeColor}\"`,s+=' stroke-linecap=\"round\"',this.svgStrokeStyle&&(s+=` stroke-dasharray=\"${this.svgStrokeStyle}\"`),s+=\"/>\"),s){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+\")\"),Q.makeSVG(e,s,t)}return e}decomposeVariable(t){const e=t.clone({mathstyle:this.mathstyle}),i=Qt(he(e,this.body));return this.cssId&&(i.cssId=this.cssId),i.applyStyle({backgroundColor:this.backgroundColor,cssClass:this.cssClass}),i.classes+=\" ML__variable\",i}decompose(t,e){let i=null;if(!this.type||/mord|minner|mbin|mrel|mpunct|mopen|mclose|textord/.test(this.type))(i=\"string\"==typeof this.body?this.makeSpan(t,this.body):this.makeSpan(t,he(t,this.body))).type=this.type;else if(\"group\"===this.type||\"root\"===this.type)i=this.decomposeGroup(t);else if(\"array\"===this.type)i=this.decomposeArray(t);else if(\"genfrac\"===this.type)i=this.decomposeGenfrac(t);else if(\"surd\"===this.type)i=this.decomposeSurd(t);else if(\"accent\"===this.type)i=this.decomposeAccent(t);else if(\"leftright\"===this.type)i=this.decomposeLeftright(t);else if(\"delim\"===this.type)(i=Yt(null,\"\")).delim=this.delim;else if(\"sizeddelim\"===this.type)i=this.bind(t,Jt.makeSizedDelim(this.cls,this.delim,this.size,t));else if(\"line\"===this.type)i=this.decomposeLine(t);else if(\"overunder\"===this.type)i=this.decomposeOverunder(t);else if(\"overlap\"===this.type)i=this.decomposeOverlap(t);else if(\"rule\"===this.type)i=this.decomposeRule(t);else if(\"styling\"===this.type);else if(\"msubsup\"===this.type)i=Qt(\"​\"),e&&(i.height=e[0].height,i.depth=e[0].depth);else if(\"mop\"===this.type)i=this.decomposeOp(t);else if(\"space\"===this.type)i=this.makeSpan(t,\" \");else if(\"spacing\"===this.type)if(\"​\"===this.body)i=this.makeSpan(t,\"​\");else if(\" \"===this.body)i=\"math\"===this.mode?this.makeSpan(t,\" \"):this.makeSpan(t,\" \");else if(this.width)i=Yt(\"​\",\"mspace \"),this.width>0?i.setWidth(this.width):i.setStyle(\"margin-left\",this.width,\"em\");else{const t={qquad:\"qquad\",quad:\"quad\",enspace:\"enspace\",\";\":\"thickspace\",\":\":\"mediumspace\",\",\":\"thinspace\",\"!\":\"negativethinspace\"}[this.body]||\"quad\";i=Yt(\"​\",\"mspace \"+t)}else\"mathstyle\"===this.type?t.setMathstyle(this.mathstyle):\"box\"===this.type?i=this.decomposeBox(t):\"enclose\"===this.type?i=this.decomposeEnclose(t):\"variable\"===this.type?i=this.decomposeVariable(t):\"command\"===this.type||\"error\"===this.type?((i=this.makeSpan(t,this.body)).classes=\"\",this.error&&(i.classes+=\" ML__error\"),this.suggestion&&(i.classes+=\" ML__suggestion\")):\"placeholder\"===this.type?i=this.makeSpan(t,\"⬚\"):\"first\"===this.type&&(i=this.makeSpan(t,\"​\"));if(!i)return i;if(this.caret&&\"styling\"!==this.type&&\"msubsup\"!==this.type&&\"command\"!==this.type&&\"placeholder\"!==this.type&&\"first\"!==this.type&&(Array.isArray(i)?i[i.length-1].caret=this.caret:i.caret=this.caret),!this.limits&&(this.superscript||this.subscript))if(Array.isArray(i)){const e=i[i.length-1];i[i.length-1]=this.attachSupsub(t,e,e.type)}else i=[this.attachSupsub(t,i,i.type)];return Array.isArray(i)?i:[i]}attachSupsub(t,e,i){if(!this.superscript&&!this.subscript)return e;const s=t.mathstyle;let a=null,o=null;if(this.superscript){const e=he(t.sup(),this.superscript);a=Yt(e,s.adjustTo(s.sup()))}if(this.subscript){const e=he(t.sub(),this.subscript);o=Yt(e,s.adjustTo(s.sub()))}let n,r=0,l=0;this.isCharacterBox()||(r=Q.height(e)-s.metrics.supDrop,l=Q.depth(e)+s.metrics.subDrop),n=s===O.DISPLAY?s.metrics.sup1:s.cramped?s.metrics.sup3:s.metrics.sup2;const c=O.TEXT.sizeMultiplier*s.sizeMultiplier,h=.5/w.ptPerEm/c;let p=null;if(o&&a){r=Math.max(r,n,a.depth+.25*s.metrics.xHeight),l=Math.max(l,s.metrics.sub2);const i=w.defaultRuleThickness;if(r-Q.depth(a)-(Q.height(o)-l)<4*i){l=4*i-(r-a.depth)+Q.height(o);const t=.8*s.metrics.xHeight-(r-Q.depth(a));t>0&&(r+=t,l-=t)}p=ie(t,[o,l,a,-r],\"individualShift\"),this.symbol&&p.children[0].setLeft(-Q.italic(e))}else o&&!a?(l=Math.max(l,s.metrics.sub1,Q.height(o)-.8*s.metrics.xHeight),(p=ie(t,[o],\"shift\",l)).children[0].setRight(h),this.isCharacterBox()&&p.children[0].setLeft(-Q.italic(e))):!o&&a&&(r=Math.max(r,n,a.depth+.25*s.metrics.xHeight),(p=ie(t,[a],\"shift\",-r)).children[0].setRight(h));const d=Yt(p,\"msubsup\");return this.caret&&(d.caret=this.caret),Q.makeSpanOfType(i,[e,d])}attachLimits(t,e,i,s){const a=this.superscript?Yt(he(t.sup(),this.superscript),t.mathstyle.adjustTo(t.mathstyle.sup())):null,o=this.subscript?Yt(he(t.sub(),this.subscript),t.mathstyle.adjustTo(t.mathstyle.sub())):null;return ce(t,e,i,s,a,o,\"mop\")}bind(t,e){return\"first\"!==this.type&&\"​\"!==this.body&&(this.id=function(t){let e;return\"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)),e}(t),this.id&&(e.attributes||(e.attributes={}),e.attributes[\"data-atom-id\"]=this.id)),e}makeSpan(t,e){const i=\"textord\"===this.type?\"mord\":this.type,s=Q.makeSpanOfType(i,e),a=this.getStyle();s.applyStyle(a);const o=a&&a.fontSize?a.fontSize:\"size5\";return o!==t.parentSize?(s.classes+=\" sizing reset-\"+t.parentSize,s.classes+=\" \"+o):t.parentSize!==t.size&&(s.classes+=\" sizing reset-\"+t.parentSize,s.classes+=\" \"+t.size),s.maxFontSize=Math.max(s.maxFontSize,t.sizeMultiplier||1),\"text\"===this.mode&&(s.classes+=\" ML__text\"),t.mathstyle.isTight()&&(s.isTight=!0),\"math\"!==this.mode&&(s.italic=0),s.setRight(s.italic),\"number\"==typeof t.opacity&&s.setStyle(\"opacity\",t.opacity),this.bind(t,s),this.caret&&(this.superscript||this.subscript||(s.caret=this.caret,t.mathstyle.isTight()&&(s.isTight=!0))),s}}function re(t){const e=Yt(\"​\",\"arraycolsep\");return e.setWidth(t,\"em\"),e}function le(t,e,i,s){const a=[];for(const o of e){const e=Yt(he(t,s));e.depth=o.depth,e.height=o.height,a.push(e),a.push(o.pos-i)}return ie(t,a,\"individualShift\")}function ce(t,e,i,s,a,o,n){if(!a&&!o)return e;e=Yt(e);let r=0,l=0;a&&(r=Math.max(w.bigOpSpacing1,w.bigOpSpacing3-a.depth)),o&&(l=Math.max(w.bigOpSpacing2,w.bigOpSpacing4-o.height));let c=null;if(o&&a){const n=w.bigOpSpacing5+Q.height(o)+Q.depth(o)+l+Q.depth(e)+i;(c=ie(t,[w.bigOpSpacing5,o,l,e,r,a,w.bigOpSpacing5],\"bottom\",n)).children[0].setLeft(-s),c.children[2].setLeft(s)}else if(o&&!a){const a=Q.height(e)-i;(c=ie(t,[w.bigOpSpacing5,o,l,e],\"top\",a)).children[0].setLeft(-s)}else if(!o&&a){const o=Q.depth(e)+i;(c=ie(t,[e,r,a,w.bigOpSpacing5],\"bottom\",o)).children[1].setLeft(s)}return Q.makeSpanOfType(n,c,\"op-limits\")}function he(t,e){t instanceof K.Context||(t=new K.Context(t));const i=!t.generateID||!t.generateID.groupNumbers;let s=[];if(Array.isArray(e)){if(0===e.length)return s;if(1===e.length)(s=e[0].decompose(t))&&i&&e[0].isSelected&&s.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)),i&&e[c].isSelected?(n=n.concat(a)).forEach(t=>t.selected(!0)):(n.length>0&&(s=[...s,...n],n=[]),s=s.concat(a))}a=e[c].getFinalBaseElement().type,o=e[c+1]?e[c+1].getInitialBaseElement().type:\"none\"}n.length>0&&(s=[...s,...n],n=[])}}else e&&(s=e.decompose(t))&&i&&e.isSelected&&s.forEach(t=>t.selected(!0));if(!s||0===s.length)return null;if(t.mathstyle!==t.parentMathstyle){const e=t.mathstyle.sizeMultiplier/t.parentMathstyle.sizeMultiplier;for(const t of s)t.height*=e,t.depth*=e}if(t.size!==t.parentSize){const e=oe[t.size]/oe[t.parentSize];for(const t of s)t.height*=e,t.depth*=e}return s}var pe={MathAtom:ne,decompose:he,makeRoot:function(t,e){const i=new ne(t=t||\"math\",\"root\",e||[]);return 0!==i.body.length&&\"first\"===i.body[0].type||i.body.unshift(new ne(\"\",\"first\")),i},GREEK_REGEX:se};const de={m0:\"#3f3d99\",m1:\"#993d71\",m2:\"#998b3d\",m3:\"#3d9956\",m4:\"#3d5a99\",m5:\"#993d90\",m6:\"#996d3d\",m7:\"#43993d\",m8:\"#3d7999\",m9:\"#843d99\"},me={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 ue={stringToColor:function(t){const e=t.toLowerCase().split(\"!\");let i,s,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++){i=o,s=n,a=r;let c=e[t].match(/([a-z0-9]*)/);c&&(c=c[1]);let h=me[c]||de[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),i=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*i+i))}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*i,n=(1-l)*n+l*s,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)*i,n=l*n+(1-l)*s,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 me)if(me[t]===e){e=t;break}for(const t in de)if(de[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 fe=pe.MathAtom;class ge{constructor(t,e,i){this.tokens=t,this.index=0,this.args=e,this.macros=i,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 fe(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=It.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(){if(this.args&&\"string\"==typeof this.args[\"?\"])return ye(x.tokenize(this.args[\"?\"]),this.parseMode,null,this.macros);const t=new fe(this.parseMode,\"placeholder\",\"?\",this.style);return t.captureSelection=!0,[t]}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 i=this.skipWhitespace(),s=this.parseCommand(\"relax\");t=t||i||s,e=!i&&!s}while(!e);return t}parseKeyword(t){const e=this.index;let i=this.end(),s=\"\";for(;!i;){const e=this.get();\"literal\"===e.type&&(s+=e.value),i=this.end()||\"literal\"!==e.type||s.length>=t.length}const a=t.toUpperCase()===s.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 ue.stringToColor(this.scanString())}scanNumber(t){const e=this.parseLiteral(\"-\");e||this.parseLiteral(\"+\"),this.skipWhitespace(),t=!!t;let i=10,s=/[0-9]/;this.parseLiteral(\"'\")?(i=8,s=/[0-7]/,t=!0):(this.parseLiteral('\"')||this.parseLiteral(\"x\"))&&(i=16,s=/[0-9A-F]/,t=!0);let a=\"\";for(;this.hasLiteralPattern(s);)a+=this.get().value;if(!t&&(this.parseLiteral(\".\")||this.parseLiteral(\",\")))for(a+=\".\";this.hasLiteralPattern(s);)a+=this.get().value;const o=t?parseInt(a,i):parseFloat(a);return e?-o:o}scanDimen(){const t=this.scanNumber(!1);return this.skipWhitespace(),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\"),i=new fe(\"math\",\"group\");return i.mathstyle=\")\"===t?\"textstyle\":\"displaystyle\",i.body=this.scanImplicitGroup(e=>\"command\"===e.type&&e.value===t),this.parseCommand(t),this.swapParseMode(e),i.body&&0!==i.body.length?i:null}scanModeShift(){if(!this.hasToken(\"$\")&&!this.hasToken(\"$$\"))return null;const t=this.get().type,e=new fe(\"math\",\"group\");e.mathstyle=\"$\"===t?\"textstyle\":\"displaystyle\",e.latexOpen=\"textstyle\"===e.mathstyle?\"$\":\"$$\",e.latexClose=e.latexOpen;const i=this.swapParseMode(\"math\");return e.body=this.scanImplicitGroup(e=>e.type===t),this.parseToken(t),this.swapParseMode(i),e.body&&0!==e.body.length?e:null}scanEnvironment(){if(!this.parseCommand(\"begin\"))return null;const t=this.scanArg(\"string\"),e=It.getEnvironmentInfo(t),i=[];if(e&&e.params)for(const t of e.params)if(t.optional){const e=this.scanOptionalArg(t.type);i.push(e)}else i.push(this.scanArg(t.type));const s=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=s,this.tabularMode=a,!e.tabular&&0===h.length)return null;if(e.tabular&&0===n.length)return null;const p=new fe(this.parseMode,\"array\",h,e.parser?e.parser(t,i,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|\\\\)$/.test(t.value));let i=null,s=null;const a=this.swapMathList([]);for(;!this.end()&&!t(this.peek());)if(this.hasImplicitCommand([\"displaystyle\",\"textstyle\",\"scriptstyle\",\"scriptscriptstyle\"])){this.parseMode=\"math\";const t=new fe(\"math\",\"mathstyle\");t.mathstyle=this.get().value,this.mathList.push(t)}else this.hasInfixCommand()&&!i?(i=this.get(),s=this.swapMathList([])):this.parseAtom();let o;if(i){const t=this.swapMathList(a),e=It.getInfo(\"\\\\\"+i.value,\"math\",this.macros);o=e?[new fe(this.parseMode,e.type,e.value||i.value,e.parse?e.parse(\"\\\\\"+i.value,[s,t]):null)]:[new fe(this.parseMode,\"mop\",i.value)]}else o=this.swapMathList(a);return this.style=e,o}scanGroup(){if(!this.parseToken(\"{\"))return null;const t=[\"fontseries\",\"upshape\",\"fontshape\",\"tiny\",\"scriptsize\",\"footnotesize\",\"small\",\"normalsize\",\"large\",\"Large\",\"LARGE\",\"huge\",\"Huge\",\"fontfamily\"].some(t=>this.hasCommand(t)),e=this.scanImplicitGroup(t=>\"}\"===t.type);if(this.parseToken(\"}\"),t)return e;const i=new fe(this.parseMode,\"group\");return i.body=e,i.latexOpen=\"{\",i.latexClose=\"}\",i}scanSmartFence(){if(this.skipWhitespace(),!this.parseLiteral(\"(\"))return null;const t=new fe(this.parseMode,\"leftright\");t.leftDelim=\"(\",t.inner=!1;const e=this.swapMathList([]);let i=1;for(;!this.end()&&0!==i;)this.hasLiteral(\"(\")&&(i+=1),this.hasLiteral(\")\")&&(i-=1),0!==i&&this.parseAtom();return 0===i&&this.parseLiteral(\")\"),t.rightDelim=0===i?\")\":\"?\",t.body=this.swapMathList(e),t}scanDelim(){this.skipWhitespace();const t=this.get();if(!t)return null;let e=\".\";\"command\"===t.type?e=\"\\\\\"+t.value:\"literal\"===t.type&&(e=t.value);const i=It.getInfo(e,\"math\",this.macros);return i?\"mopen\"===i.type||\"mclose\"===i.type?e:/^(\\?|\\||<|>|\\\\vert|\\\\Vert|\\\\\\||\\\\surd|\\\\uparrow|\\\\downarrow|\\\\Uparrow|\\\\Downarrow|\\\\updownarrow|\\\\Updownarrow|\\\\mid|\\\\mvert|\\\\mVert)$/.test(e)?e:null:null}scanLeftRight(){if(this.parseCommand(\"right\")||this.parseCommand(\"mright\")){const t=new fe(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 i=this.scanDelim()||\".\",s=this.swapMathList([]);for(;!this.end()&&!this.parseCommand(e);)this.parseAtom();this.style=t;const a=this.scanDelim(),o=new fe(this.parseMode,\"leftright\");return o.leftDelim=i,o.rightDelim=a,o.inner=\"right\"===e,o.body=this.swapMathList(s),o}parseSupSub(){if(\"math\"!==this.parseMode)return!1;let t=!1;for(;this.hasLiteral(\"^\")||this.hasLiteral(\"_\")||this.hasLiteral(\"'\");){let e;if(this.hasLiteral(\"^\")?e=\"superscript\":this.hasLiteral(\"_\")&&(e=\"subscript\"),this.parseLiteral(\"^\")||this.parseLiteral(\"_\")){const i=this.scanArg();if(i){const s=this.lastMathAtom();s[e]=s[e]||[],s[e]=s[e].concat(i),t=!0}}else if(this.parseLiteral(\"'\")){const e=this.lastMathAtom();e.superscript=e.superscript||[],e.superscript.push(new fe(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 i=this.swapMathList();let s;for(;!this.end()&&!this.parseLiteral(\"]\");)if(\"string\"===t)s=this.scanString();else if(\"number\"===t)s=this.scanNumber();else if(\"dimen\"===t)s=this.scanDimen();else if(\"skip\"===t)s=this.scanSkip();else if(\"colspec\"===t)s=this.scanColspec();else if(\"color\"===t)s=this.scanColor()||\"#ffffff\";else if(\"bbox\"===t){const t=this.scanString().toLowerCase().trim().split(/,(?![^(]*\\)(?:(?:[^(]*\\)){2})*[^\"]*$)/);for(const e of t){const t=ue.stringToColor(e);if(t)(s=s||{}).backgroundcolor=t;else{const t=e.match(/^\\s*([0-9.]+)\\s*([a-z][a-z])/);if(t)(s=s||{}).padding=C.toEm(t[1],t[2]);else{const t=e.match(/^\\s*border\\s*:\\s*(.*)/);t&&((s=s||{}).border=t[1])}}}}else this.mathList=this.mathList.concat(this.scanImplicitGroup(t=>\"literal\"===t.type&&\"]\"===t.value));this.parseMode=e;const a=this.swapMathList(i);return s||a}scanArg(t){let e;if(t=t&&\"auto\"!==t?t:this.parseMode,this.parseFiller(),!this.parseToken(\"{\")){if(\"delim\"===t)return this.scanDelim()||\".\";if(/^(math|text)$/.test(t)){const e=this.parseMode;this.parseMode=t;const i=this.scanToken();return this.parseMode=e,Array.isArray(i)?i:i?[i]: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 i=this.parseMode;this.parseMode=t;const s=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 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o=a.length;if(t.length===o||e.length===o||t[o].relation!==e[o].relation)return this.setPath(a,-1);a.push(t[o]),a=ve.clone(a);let n=e[o].offset-t[o].offset+1;return n<=0?e.length>o+1?(a[o].relation=e[o].relation,a[o].offset=e[o].offset,a[a.length-1].offset-=1,n=2-n):(a[o].relation=e[o].relation,a[o].offset=e[o].offset,n=1-n):e.length<=t.length?a[a.length-1].offset-=1:e.length>t.length&&(a[o].offset-=1),this.setPath(a,n)},Fe.prototype.ancestor=function(t){if(t>this.path.length)return null;let e=this.root;for(let i=0;i<this.path.length-t;i++){const t=this.path[i];if(e.array)e=qe(e.array,t.relation)[t.offset];else{if(!e[t.relation])return null;{0!==e[t.relation].length&&\"first\"===e[t.relation][0].type||e[t.relation].unshift(Ve());const i=Math.min(t.offset,e[t.relation].length-1);e=e[t.relation][i]}}}return e},Fe.prototype.anchor=function(){if(this.parent().array)return qe(this.parent().array,this.relation())[this.anchorOffset()];const t=this.siblings();return t[Math.min(t.length-1,this.anchorOffset())]},Fe.prototype.parent=function(){return this.ancestor(1)},Fe.prototype.relation=function(){return this.path.length>0?this.path[this.path.length-1].relation:\"\"},Fe.prototype.anchorOffset=function(){return this.path.length>0?this.path[this.path.length-1].offset:0},Fe.prototype.focusOffset=function(){return this.path.length>0?this.path[this.path.length-1].offset+this.extent:0},Fe.prototype.startOffset=function(){return Math.min(this.focusOffset(),this.anchorOffset())},Fe.prototype.endOffset=function(){return Math.max(this.focusOffset(),this.anchorOffset())},Fe.prototype.insertFirstAtom=function(){this.siblings()},Fe.prototype.siblings=function(){if(0===this.path.length)return[];let t;return this.parent().array?t=qe(this.parent().array,this.relation()):\"string\"==typeof(t=this.parent()[this.relation()]||[])&&(t=[]),0!==t.length&&\"first\"===t[0].type||t.unshift(Ve()),t},Fe.prototype.sibling=function(t){return this.siblings()[this.startOffset()+t]},Fe.prototype.isCollapsed=function(){return 0===this.extent},Fe.prototype.setExtent=function(t){this.extent=t},Fe.prototype.collapseForward=function(){return 0!==this.extent&&(this.setSelection(this.endOffset()),!0)},Fe.prototype.collapseBackward=function(){return 0!==this.extent&&(this.setSelection(this.startOffset()),!0)},Fe.prototype.selectGroup_=function(){const t=this.siblings();if(\"text\"===this.anchorMode()){let e=this.startOffset(),i=this.endOffset();for(;t[e]&&\"text\"===t[e].mode&&It.LETTER_AND_DIGITS.test(t[e].body);)e-=1;for(;t[i]&&\"text\"===t[i].mode&&It.LETTER_AND_DIGITS.test(t[i].body);)i+=1;if(e>=(i-=1))return void this.setSelection(this.endOffset()-1,1);this.setSelection(e,i-e)}else if(\"mord\"===this.sibling(0).type&&/[0-9,.]/.test(this.sibling(0).body)){let e=this.startOffset(),i=this.endOffset();for(;Oe(t[e]);)e-=1;for(;Oe(t[i]);)i+=1;i-=1,this.setSelection(e,i-e)}else this.setSelection(0,\"end\")},Fe.prototype.selectAll_=function(){this.path=[{relation:\"body\",offset:0}],this.setSelection(0,\"end\")},Fe.prototype.deleteAll_=function(){this.selectAll_(),this.delete_()},Fe.prototype.contains=function(t){if(this.isCollapsed())return!1;const e=this.siblings(),i=this.startOffset(),s=this.endOffset();for(let a=i;a<s;a++)if(Re(e[a],t))return!0;return!1},Fe.prototype.getSelectedAtoms=function(){if(this.isCollapsed())return null;const t=[],e=this.siblings(),i=this.startOffset()+1,s=this.endOffset()+1;for(let a=i;a<s;a++)e[a]&&\"first\"!==e[a].type&&t.push(e[a]);return t},Fe.prototype.commandOffsets=function(){const t=this.siblings();if(t.length<=1)return null;let e=Math.min(this.endOffset(),t.length-1);if(\"command\"!==t[e].type)return null;for(;e>0&&\"command\"===t[e].type;)e-=1;let i=this.startOffset()+1;for(;i<=t.length-1&&\"command\"===t[i].type;)i+=1;return i>e?{start:e+1,end:i}:null},Fe.prototype.extractCommandStringAroundInsertionPoint=function(t){let e=\"\";const i=this.commandOffsets();if(i){const s=t?this.anchorOffset()+1:i.end,a=this.siblings();for(let t=i.start;t<s;t++)e+=a[t].body||\"\"}return e},Fe.prototype.decorateCommandStringAroundInsertionPoint=function(t){const e=this.commandOffsets();if(e){const i=this.siblings();for(let s=e.start;s<e.end;s++)i[s].error=t}},Fe.prototype.commitCommandStringBeforeInsertionPoint=function(){const t=this.commandOffsets();if(t){const e=this.siblings(),i=this.anchorOffset()+1;for(let s=t.start;s<i;s++)e[s]&&(e[s].suggestion=!1)}},Fe.prototype.spliceCommandStringAroundInsertionPoint=function(t){const e=this.commandOffsets();if(e){if(this.contentWillChange(),t){Array.prototype.splice.apply(this.siblings(),[e.start,e.end-e.start].concat(t));let i=[];for(const e of t)i=i.concat(e.filter(t=>\"placeholder\"===t.type));this.setExtent(0),this.path[this.path.length-1].offset=e.start-1,0!==i.length&&this.leap(1,!1)||this.setSelection(e.start+t.length-1)}else this.siblings().splice(e.start,e.end-e.start),this.setSelection(e.start-1,0);this.contentDidChange()}},Fe.prototype.removeCommandString=function(){this.contentWillChange();const t=this.suppressChangeNotifications;this.suppressChangeNotifications=!0,function t(e){if(e)if(Array.isArray(e))for(let i=e.length-1;i>=0;i--)\"command\"===e[i].type?e.splice(i,1):t(e[i]);else if(t(e.body),t(e.superscript),t(e.subscript),t(e.underscript),t(e.overscript),t(e.numer),t(e.denom),t(e.index),e.array)for(let i=Ie(e.array);i>=0;i--)t(qe(e.array,i))}(this.root.body),this.suppressChangeNotifications=t,this.contentDidChange()},Fe.prototype.extractArgBeforeInsertionPoint=function(){const t=this.siblings();if(t.length<=1)return[];const e=[];let i=this.startOffset();if(\"text\"===t[i].mode)for(;i>=1&&\"text\"===t[i].mode;)e.unshift(t[i]),i--;else for(;i>=1&&/^(mord|surd|msubsup|leftright|mop|variable)$/.test(t[i].type);)e.unshift(t[i]),i--;return e},Fe.prototype.setSelection=function(t,e,i){t=t||0,e=e||0;const s=this.path[this.path.length-1].relation;i||(i=s);const a=this.parent();if(!a&&\"body\"!==i)return!1;const o=i.startsWith(\"cell\");if(!o&&!a[i]||o&&!a.array)return!1;const n=i!==s;this.path[this.path.length-1].relation=i;const r=this.siblings().length;this.path[this.path.length-1].relation=s;const l=this.extent;\"end\"===e?e=r-t-1:\"start\"===e&&(e=-t),this.setExtent(e);const c=this.extent!==l;this.setExtent(l),t<0&&(t=r+t),t=Math.max(0,Math.min(t,r-1));const h=this.path[this.path.length-1].offset;return(n||h!==t||c)&&(n&&this.adjustPlaceholder(),this.selectionWillChange(),this.path[this.path.length-1].relation=i,this.path[this.path.length-1].offset=t,this.setExtent(e),this.selectionDidChange()),!0},Fe.prototype.next=function(t){t=t||{};const e={body:\"numer\",numer:\"denom\",denom:\"index\",index:\"overscript\",overscript:\"underscript\",underscript:\"subscript\",subscript:\"superscript\"};if(this.anchorOffset()===this.siblings().length-1){this.adjustPlaceholder();let i=e[this.relation()];const s=this.parent();for(;i&&!s[i];)i=e[i];if(i)return void this.setSelection(0,0,i);if(this.parent().array){const t=Ie(this.parent().array);let e=parseInt(this.relation().match(/cell([0-9]*)$/)[1])+1;for(;e<t;){if(qe(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 i=this.anchor();if(i&&!i.captureSelection){let s;if(i.array){let t=0;s=\"\";const e=Ie(i.array);for(;!s&&t<e;)qe(i.array,t)&&(s=\"cell\"+t.toString()),t+=1;return this.path.push({relation:s,offset:0}),void this.setSelection(0,0,s)}for(s=\"body\";s;){if(Array.isArray(i[s]))return this.path.push({relation:s,offset:0}),this.insertFirstAtom(),void(!t.iterateAll&&i.skipBoundary&&this.next(t));s=e[s]}}},Fe.prototype.previous=function(t){const e={numer:\"body\",denom:\"numer\",index:\"denom\",overscript:\"index\",underscript:\"overscript\",subscript:\"underscript\",superscript:\"subscript\"};if(!(t=t||{}).iterateAll&&1===this.anchorOffset()&&this.parent()&&this.parent().skipBoundary&&this.setSelection(0),this.anchorOffset()<1){let t=e[this.relation()];for(;t&&!this.setSelection(-1,0,t);)t=e[t];const i=this.parent()?this.parent().type:\"none\";if(\"body\"!==t||\"msubsup\"!==i&&\"mop\"!==i||(t=null),t)return;if(this.adjustPlaceholder(),this.selectionWillChange(),this.relation().startsWith(\"cell\")){let t=parseInt(this.relation().match(/cell([0-9]*)$/)[1])-1;for(;t>=0;){if(qe(this.parent().array,t)&&this.setSelection(-1,0,\"cell\"+t))return void this.selectionDidChange();t-=1}}return 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 i=this.anchor();if(!i.captureSelection){let t;if(i.array){t=\"\";const e=Ie(i.array);let s=e-1;for(;!t&&s<e;)qe(i.array,s)&&(t=\"cell\"+s.toString()),s-=1;return s+=1,this.path.push({relation:t,offset:qe(i.array,s).length-1}),void this.setSelection(-1,0,t)}for(t=\"superscript\";t;){if(Array.isArray(i[t]))return this.path.push({relation:t,offset:i[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)},Fe.prototype.move=function(t,e){const i=(e=e||{extend:!1}).extend||!1;if(this.removeSuggestion(),i)this.extend(t,e);else{const e=De(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)}},Fe.prototype.up=function(t){const e=(t=t||{extend:!1}).extend||!1;this.collapseBackward();const i=this.relation();if(\"denom\"===i)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=Ee(this.parent().array,i);(e=Be(this.parent().array,e,-1))&&qe(e)?(this.path[this.path.length-1].relation=\"cell\"+ze(this.parent().array,e),this.setSelection(this.anchorOffset()),this._announce(\"moveUp\")):this.move(-1,t)}else this._announce(\"line\")},Fe.prototype.down=function(t){const e=(t=t||{extend:!1}).extend||!1;this.collapseForward();const i=this.relation();if(\"numer\"===i)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=Ee(this.parent().array,i);(e=Be(this.parent().array,e,1))&&qe(e)?(this.path[this.path.length-1].relation=\"cell\"+ze(this.parent().array,e),this.setSelection(this.anchorOffset()),this._announce(\"moveDown\")):this.move(1,t)}else this._announce(\"line\")},Fe.prototype.extend=function(t){let e=this.path[this.path.length-1].offset,i=0;const s=De(this),a=e+(i=this.extent+t);if(a<0&&0!==i){if(this.path.length>1)return this.selectionWillChange(),this.path.pop(),this.setExtent(-1),this.selectionDidChange(),void this._announce(\"move\",s);e=this.path[this.path.length-1].offset,i=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\",s);this.isCollapsed()&&(e-=1),i-=1}this.setSelection(e,i),this._announce(\"move\",s)},Fe.prototype.skip=function(t,e){const i=(e=e||{extend:!1}).extend||!1;t=t<0?-1:1;const s=De(this),a=this.siblings(),o=this.focusOffset();let n=o+t;if(i&&(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&&!i)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 i=\"mopen\"===e?1:-1;for(n+=t>0?1:-1;n>=0&&n<a.length&&0!==i;)\"mopen\"===a[n].type?i+=1:\"mclose\"===a[n].type&&(i-=1),n+=t;0!==i&&(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(i){const t=this.anchorOffset();this.setSelection(t,n-t)}else this.setSelection(n);this._announce(\"move\",s)}},Fe.prototype.jump=function(t,e){const i=(e=e||{extend:!1}).extend||!1;t=t<0?-1:1;const s=this.siblings();let a=this.focusOffset();t>0&&(a=Math.min(a+1,s.length-1));const o=t<0?0:s.length-1;i?this.extend(o-a):this.move(o-a)},Fe.prototype.jumpToMathFieldBoundary=function(t,e){const i=(e=e||{extend:!1}).extend||!1;t=(t=t||1)<0?-1:1;const s=De(this),a=[{relation:\"body\",offset:this.path[0].offset}];let o;i?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\",s)},Fe.prototype.leap=function(t,e){t=(t=t||1)<0?-1:1,e=e||!0;const i=this.suppressChangeNotifications;this.suppressChangeNotifications=!0;const s=De(this),a=this.extent;this.move(t),\"placeholder\"===this.anchor().type&&this.move(t);const o=this.filter((t,e)=>\"placeholder\"===e.type||t.length>1&&1===this.siblings().length,t);if(0===o.length){if(this.setPath(s,a),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\"])',i=Array.prototype.filter.call(document.querySelectorAll(e),t=>(t.offsetWidth>0||t.offsetHeight>0)&&!t.contains(document.activeElement)||t===document.activeElement);let s=i.indexOf(document.activeElement)+t;s<0&&(s=i.length-1),s>=i.length&&(s=0),i[s].focus()}return this.suppressChangeNotifications=i,!1}return this.selectionWillChange(),this.setPath(o[0]),\"placeholder\"===this.anchor().type&&this.setExtent(-1),this._announce(\"move\",s),this.selectionDidChange(),this.suppressChangeNotifications=i,!0},Fe.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 i=1,s=this.ancestor(i);for(;!e&&s;)s&&(e=s.mode),i+=1,s=this.ancestor(i);return e},Fe.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,fontSize:t.fontSize}}let i=1,s=this.ancestor(i);for(;!e&&s;)s&&(e={color:s.color,backgroundColor:s.backgroundColor,fontFamily:s.fontFamily,fontShape:s.fontShape,fontSeries:s.fontSeries,fontSize:s.fontSize}),i+=1,s=this.ancestor(i);return e},Fe.prototype.simplifyParen=function(t){if(t&&this.config.removeExtraneousParentheses){for(let e=0;t[e];e++)if(\"leftright\"===t[e].type&&\"(\"===t[e].leftDelim&&Array.isArray(t[e].body)){let i=0,s=0,a=0;for(let o=0;t[e].body[o];o++)\"genfrac\"===t[e].body[o].type&&(i++,s=o),\"first\"!==t[e].body[o].type&&a++;0===a&&1===i&&(t[e]=t[e].body[s])}t.forEach(t=>{if(\"genfrac\"===t.type&&(this.simplifyParen(t.numer),this.simplifyParen(t.denom),t.numer=Ke(t.numer),t.denom=Ke(t.denom)),t.superscript&&(this.simplifyParen(t.superscript),t.superscript=Ke(t.superscript)),t.subscript&&(this.simplifyParen(t.subscript),t.subscript=Ke(t.subscript)),t.underscript&&(this.simplifyParen(t.underscript),t.underscript=Ke(t.underscript)),t.overscript&&(this.simplifyParen(t.overscript),t.overscript=Ke(t.overscript)),t.index&&(this.simplifyParen(t.index),t.index=Ke(t.index)),\"surd\"===t.type?(this.simplifyParen(t.body),t.body=Ke(t.body)):t.body&&Array.isArray(t.body)&&this.simplifyParen(t.body),t.array)for(let e=Ie(t.array);e>=0;e--)this.simplifyParen(qe(t.array,e))})}},Fe.prototype.insert=function(t,e){if((e=e||{}).smartFence&&this._insertSmartFence(t,e.style))return;const i=this.suppressChangeNotifications;e.suppressChangeNotifications&&(this.suppressChangeNotifications=!0),this.contentWillChange();const s=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=Ne(t,{...this.config,format:\"ASCIIMath\"}),o=be.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)It.COMMAND_MODE_CHARACTERS.test(e)&&o.push(new pe.MathAtom(\"command\",\"command\",e))}else\"\u001b\"===t?o=[new pe.MathAtom(\"command\",\"command\",\"\\\\\")]:(t=Ne(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,\"$1#?\"),o=be.parseTokens(x.tokenize(t),a,n,e.macros,e.smartFence),this.simplifyParen(o));else\"latex\"===e.format?o=be.parseTokens(x.tokenize(t),a,n,e.macros,e.smartFence):\"text\"!==a&&\"text\"!==e.format||(t=(t=(t=(t=(t=(t=(t=(t=(t=(t=(t=t.replace(/\\\\/g,\"\\\\textbackslash \")).replace(/#/g,\"\\\\#\")).replace(/\\$/g,\"\\\\$\")).replace(/%/g,\"\\\\%\")).replace(/&/g,\"\\\\&\")).replace(/_/g,\"\\\\_\")).replace(/{/g,\"\\\\textbraceleft \")).replace(/}/g,\"\\\\textbraceright \")).replace(/\\^/g,\"\\\\textasciicircum \")).replace(/~/g,\"\\\\textasciitilde \")).replace(/£/g,\"\\\\textsterling \"),o=be.parseTokens(x.tokenize(t),\"text\",n,e.macros,!1));!function t(e,i){e&&i&&(Array.isArray(e)?e.forEach(e=>t(e,i)):\"object\"==typeof e&&(e.color||e.backgroundColor||e.fontFamily||e.fontShape||e.fontSeries||e.fontSize||(e.applyStyle(i),t(e.body,i),t(e.numer,i),t(e.denom,i),t(e.index,i),t(e.overscript,i),t(e.underscript,i),t(e.subscript,i),t(e.superscript,i))))}(o,e.style);const c=this.parent();if(this.config.removeExtraneousParentheses&&c&&\"leftright\"===c.type&&\"(\"===c.leftDelim&&function(t){return 0===t.length||1===t.length&&\"first\"===t[0].type}(c.body)&&o&&1===o.length&&\"genfrac\"===o[0].type?(this.path.pop(),this.siblings()[this.anchorOffset()]=o[0]):Array.prototype.splice.apply(this.siblings(),[this.anchorOffset()+1,0].concat(o)),this.insertFirstAtom(),this.suppressChangeNotifications=s,\"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=i},Fe.prototype._insertSmartFence=function(t,e){const i=this.parent();\"{\"!==t&&\"\\\\{\"!==t||(t=\"\\\\lbrace\"),\"}\"!==t&&\"\\\\}\"!==t||(t=\"\\\\rbrace\"),\"[\"!==t&&\"\\\\[\"!==t||(t=\"\\\\lbrack\"),\"]\"!==t&&\"\\\\]\"!==t||(t=\"\\\\rbrack\");const s=It.RIGHT_DELIM[t];if(s&&(\"leftright\"!==i.type||\"|\"!==i.leftDelim)){let i=\"\";const a=this.isCollapsed()||\"placeholder\"===this.anchor().type;i=this.sibling(0).isFunction?\"\\\\mleft\"+t+\"\\\\mright\":\"\\\\left\"+t+\"\\\\right\",i+=a?\"?\":s;let o=[];return a&&(o=this.siblings().splice(this.anchorOffset()+1,this.siblings().length)),this.insert(i,{mode:\"math\",format:\"latex\",style:e}),a&&(this.sibling(0).body=o,this.move(-1)),!0}let a;if(Object.keys(It.RIGHT_DELIM).forEach(e=>{t===It.RIGHT_DELIM[e]&&(a=e)}),a){if(i&&\"leftright\"===i.type&&this.endOffset()===this.siblings().length-1)return this.contentWillChange(),i.rightDelim=t,this.move(1),this.contentDidChange(),!0;const s=this.siblings();let a;for(a=this.endOffset();a>=0&&(\"leftright\"!==s[a].type||\"?\"!==s[a].rightDelim);a--);if(a>=0)return this.contentWillChange(),s[a].rightDelim=t,s[a].body=s[a].body.concat(s.slice(a+1,this.endOffset()+1)),s.splice(a+1,this.endOffset()-a),this.setSelection(a),this.contentDidChange(),!0;if(i&&\"leftright\"===i.type&&\"?\"===i.rightDelim){this.contentWillChange(),i.rightDelim=t;const e=s.slice(this.endOffset()+1);return s.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()===s.length-1?(this.move(1),this._insertSmartFence(t,e)):(this.insert(t,{mode:\"math\",format:\"latex\",style:e}),!0)}return!1},Fe.prototype.positionInsertionPointAfterCommitedCommand=function(){const t=this.siblings(),e=this.commandOffsets();let i=e.start;for(;i<e.end&&!t[i].suggestion;)i++;this.setSelection(i-1)},Fe.prototype.removeSuggestion=function(){const t=this.siblings();for(let e=t.length-1;e>=0;e--)t[e].suggestion&&t.splice(e,1)},Fe.prototype.insertSuggestion=function(t,e){this.removeSuggestion();const i=[],s=t.substr(e);for(const t of s){const e=new pe.MathAtom(\"command\",\"command\",t);e.suggestion=!0,i.push(e)}Array.prototype.splice.apply(this.siblings(),[this.anchorOffset()+1,0].concat(i))},Fe.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))},Fe.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++},Fe.prototype.delete_=function(t){this.contentWillChange(),this.selectionWillChange();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&&!qe(t,e);)e.row+=1;return qe(t,e)?\"cell\"+ze(t,e):\"\"}(t)===this.relation()){const e=function(t,e,i){e||(e=[\";\",\",\"]);let s,a=[];for(const i of t)s?a.push(s):s=new pe.MathAtom(\"math\",\"mpunct\",e[0],void 0),a=a.concat(Pe(i,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=Ee(t,this.relation());if(0===e.col){const i=Be(t,e,-1);i.col=t[i.row].length-1,this.path[this.path.length-1].relation=\"cell\"+ze(t,i);const s=t[i.row][i.col].length,a=Pe(t[e.row]);t[i.row][i.col]=t[i.row][i.col].concat(a),this.setSelection(s-1,a.length),function(t,e){t.splice(e,1)}(t,e.row)}else if(0===function(t,e){let i=0;const s={col:e,row:0};for(;s.row<t.length;){const e=qe(t,s);if(e&&e.length>0){let t=e.length;\"first\"===e[0].type&&(t-=1),t>0&&(i+=1)}s.row+=1}return i}(t,e.col)){!function(t,e){let i=0;for(;i<t.length;)t[i][e]&&t[i].splice(e,1),i+=1}(t,e.col),e.col-=1,this.path[this.path.length-1].relation=\"cell\"+ze(t,e);const i=t[e.row][e.col];this.setSelection(i.length-1,0)}}return this.suppressChangeNotifications=e,this.selectionDidChange(),void this.contentDidChange()}const i=this.siblings(),s=this.parent();if(this.isCollapsed()){const a=this.anchorOffset();if(t<0)if(0!==a){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)$/.test(t.type)?this.move(-1):(this._announce(\"delete\",null,i.slice(a,a+1)),i.splice(a,1),this.setSelection(a-1))}else{const t=this.relation();if(\"superscript\"===t||\"subscript\"===t){const e=this.parent()[t].filter(t=>\"placeholder\"!==t.type&&\"first\"!==t.type);this.parent()[t]=null,this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),0].concat(e)),this.setSelection(this.anchorOffset()-1),this._announce(\"deleted: \"+t)}else if(\"denom\"===t){const t=this.parent().numer.filter(t=>\"placeholder\"!==t.type&&\"first\"!==t.type),e=this.parent().denom.filter(t=>\"placeholder\"!==t.type&&\"first\"!==t.type);this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),1].concat(e)),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),0].concat(t)),this.setSelection(this.anchorOffset()+t.length-1),this._announce(\"deleted: denominator\")}else if(\"body\"===t){const t=this.siblings().filter(t=>\"placeholder\"!==t.type);this.path.length>1&&(t.shift(),this.path.pop(),Array.prototype.splice.apply(this.siblings(),[this.anchorOffset(),1].concat(t)),this.setSelection(this.anchorOffset()-1),this._announce(\"deleted: root\"))}else this.move(-1),this.delete(-1)}else if(t>0)if(a!==i.length-1)/^(group|array|genfrac|surd|leftright|overlap|overunder|box|mathstyle|sizing)$/.test(this.sibling(1).type)?this.move(1):(this._announce(\"delete\",null,i.slice(a+1,a+2)),i.splice(a+1,1));else{const t=this.relation();if(\"root\"===s.type&&1===s.body.length)return void(this.suppressChangeNotifications=e);if(\"numer\"===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: numerator\")}else this.move(1),this.delete(1)}}else{const t=this.startOffset()+1,e=this.endOffset()+1;this._announce(\"deleted\",null,i.slice(t,e)),i.splice(t,e-t),this.setSelection(t-1)}this.suppressChangeNotifications=e,this.selectionDidChange(),this.contentDidChange()},Fe.prototype.moveToNextPlaceholder_=function(){this.leap(1)},Fe.prototype.moveToPreviousPlaceholder_=function(){this.leap(-1)},Fe.prototype.moveToNextChar_=function(){this.move(1)},Fe.prototype.moveToPreviousChar_=function(){this.move(-1)},Fe.prototype.moveUp_=function(){this.up()},Fe.prototype.moveDown_=function(){this.down()},Fe.prototype.moveToNextWord_=function(){this.skip(1)},Fe.prototype.moveToPreviousWord_=function(){this.skip(-1)},Fe.prototype.moveToGroupStart_=function(){this.setSelection(0)},Fe.prototype.moveToGroupEnd_=function(){this.setSelection(-1)},Fe.prototype.moveToMathFieldStart_=function(){this.jumpToMathFieldBoundary(-1)},Fe.prototype.moveToMathFieldEnd_=function(){this.jumpToMathFieldBoundary(1)},Fe.prototype.deleteNextChar_=function(){this.delete_(1)},Fe.prototype.deletePreviousChar_=function(){this.delete_(-1)},Fe.prototype.deleteNextWord_=function(){this.extendToNextBoundary(),this.delete_()},Fe.prototype.deletePreviousWord_=function(){this.extendToPreviousBoundary(),this.delete_()},Fe.prototype.deleteToGroupStart_=function(){this.extendToGroupStart(),this.delete_()},Fe.prototype.deleteToGroupEnd_=function(){this.extendToMathFieldStart(),this.delete_()},Fe.prototype.deleteToMathFieldEnd_=function(){this.extendToMathFieldEnd(),this.delete_()},Fe.prototype.transpose_=function(){},Fe.prototype.extendToNextChar_=function(){this.extend(1)},Fe.prototype.extendToPreviousChar_=function(){this.extend(-1)},Fe.prototype.extendToNextWord_=function(){this.skip(1,{extend:!0})},Fe.prototype.extendToPreviousWord_=function(){this.skip(-1,{extend:!0})},Fe.prototype.extendUp_=function(){this.up({extend:!0})},Fe.prototype.extendDown_=function(){this.down({extend:!0})},Fe.prototype.extendToNextBoundary_=function(){this.skip(1,{extend:!0})},Fe.prototype.extendToPreviousBoundary_=function(){this.skip(-1,{extend:!0})},Fe.prototype.extendToGroupStart_=function(){this.setExtent(-this.anchorOffset())},Fe.prototype.extendToGroupEnd_=function(){this.setExtent(this.siblings().length-this.anchorOffset())},Fe.prototype.extendToMathFieldStart_=function(){this.jumpToMathFieldBoundary(-1,{extend:!0})},Fe.prototype.extendToMathFieldEnd_=function(){this.jumpToMathFieldBoundary(1,{extend:!0})},Fe.prototype.moveToSuperscript_=function(){if(this.collapseForward(),!this.anchor().superscript)if(this.anchor().subscript)this.anchor().superscript=[Ve()];else{const t=this.sibling(1);t&&t.superscript?this.path[this.path.length-1].offset+=1:t&&t.subscript?(this.path[this.path.length-1].offset+=1,this.anchor().superscript=[Ve()]):(\"limits\"!==this.anchor().limits&&(this.siblings().splice(this.anchorOffset()+1,0,new pe.MathAtom(this.parent().anchorMode,\"msubsup\",\"​\",this.anchorStyle())),this.path[this.path.length-1].offset+=1),this.anchor().superscript=[Ve()])}this.path.push({relation:\"superscript\",offset:0}),this.selectGroup_()},Fe.prototype.moveToSubscript_=function(){if(this.collapseForward(),!this.anchor().subscript)if(this.anchor().superscript)this.anchor().subscript=[Ve()];else{const t=this.sibling(1);t&&t.subscript?this.path[this.path.length-1].offset+=1:t&&t.superscript?(this.path[this.path.length-1].offset+=1,this.anchor().subscript=[Ve()]):(\"limits\"!==this.anchor().limits&&(this.siblings().splice(this.anchorOffset()+1,0,new 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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 pi={};const di={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' data-insert='\\\\lim_{n\\\\to\\\\infty}'></li>\\n                <li class='bigfnbutton' data-insert='\\\\int'></li>\\n                <li class='bigfnbutton' data-insert='\\\\operatorname{abs}(#?)' data-latex='\\\\operatorname{abs}()'></li>\\n            </ul>\\n            <ul><li class='separator'></li>\\n                <li class='fnbutton' data-insert='\\\\cos'></li>\\n                <li class='fnbutton' data-insert='\\\\cos^{-1}'></li>\\n                <li class='fnbutton' data-insert='\\\\log_{10}'></li>\\n                <li class='fnbutton' data-insert='10^{#?}'></li>\\n                <li class='bigfnbutton' data-insert='\\\\operatorname{gcd}(#?)' data-latex='\\\\operatorname{gcd}()'></li>\\n                <li class='bigfnbutton' data-insert='\\\\operatorname{floor}(#?)' data-latex='\\\\operatorname{floor}()'></li>\\n                <li class='bigfnbutton' data-insert='\\\\sum_{n\\\\mathop=0}^{\\\\infty}'></li>\\n                <li class='bigfnbutton' 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\":\"mord\"===t[o].type&&/[0123456789,.]/.test(t[o].body)?a?s+=t[o].body:(a=!0,s+=pe.toSpeakableFragment(t[o],e)):(a=!1,s+=pe.toSpeakableFragment(t[o],e))}else{let a=\"\",o=\"\",n=\"\",r=!1;switch(t.type){case\"group\":case\"root\":s+=pe.toSpeakableFragment(t.body,e);break;case\"genfrac\":if(a=pe.toSpeakableFragment(t.numer,e),o=pe.toSpeakableFragment(t.denom,e),Ss(t.numer)&&Ss(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 \"}[ws(t.numer)+\"/\"+ws(t.denom)];e?s=e:s+=a+\" over \"+o}else s+=' the fraction <break time=\"150ms\"/>'+a+', over <break time=\"150ms\"/>'+o+'.<break time=\"150ms\"/> End fraction.<break time=\"150ms\"/>';break;case\"surd\":if(n=pe.toSpeakableFragment(t.body,e),t.index){let i=pe.toSpeakableFragment(t.index,e);const a=(i=i.trim()).replace(/<mark([^/]*)\\/>/g,\"\");s+=\"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\"/>'+i+', of <break time=\"200ms\"/>'+n+'. <break time=\"200ms\"/> End root'}else Ss(t.body)?s+=\" the square root of \"+n+\" , \":s+=' the square root of <break time=\"200ms\"/>'+n+'. <break time=\"200ms\"/> End square root';break;case\"accent\":break;case\"leftright\":s+=vs[t.leftDelim]||t.leftDelim,s+=pe.toSpeakableFragment(t.body,e),s+=vs[t.rightDelim]||t.rightDelim;break;case\"line\":case\"rule\":case\"overunder\":case\"overlap\":break;case\"placeholder\":s+=\"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 i=t.latex?t.latex.trim():\"\";if(\"\\\\mathbin\"===i||\"\\\\mathrel\"===i||\"\\\\mathopen\"===i||\"\\\\mathclose\"===i||\"\\\\mathpunct\"===i||\"\\\\mathord\"===i||\"\\\\mathinner\"===i){s=pe.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)s+=a;else{if(\"mbin\"===t.type&&(s+='<break time=\"150ms\"/>'),a){const t=vs[a]||(o?vs[o.trim()]:\"\");if(t)s+=\" \"+t;else{const t=o?function(t){let e=oi.NOTES[t];return e||\"\\\\\"!==t.charAt(0)||(e=\" \"+t.replace(\"\\\\\",\"\")+\" \"),Array.isArray(e)&&(e=e[0]),e}(o.trim()):\"\";s+=t||function(t){let i=\"\";return e.textToSpeechMarkup?/[a-z]/.test(t)?i+=' <say-as interpret-as=\"character\">'+t+\"</say-as>\":/[A-Z]/.test(t)?i+=\"capital \"+t.toLowerCase():i+=t:/[a-z]/.test(t)?i+=\" '\"+t.toUpperCase()+\"'\":/[A-Z]/.test(t)?i+=\" 'capital \"+t.toUpperCase()+\"'\":i+=t,i}(a)}}else s+=pe.toSpeakableFragment(t.body,e);\"mbin\"===t.type&&(s+='<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 i=pe.toSpeakableFragment(t.superscript,e);i=i.trim();let a=pe.toSpeakableFragment(t.subscript,e);s+=' the summation from <break time=\"200ms\"/>'+(a=a.trim())+'<break time=\"200ms\"/> to  <break time=\"200ms\"/>'+i+'<break time=\"200ms\"/> of <break time=\"150ms\"/>',r=!0}else if(t.subscript){let i=pe.toSpeakableFragment(t.subscript,e);s+=' the summation from <break time=\"200ms\"/>'+(i=i.trim())+'<break time=\"200ms\"/> of <break time=\"150ms\"/>',r=!0}else s+=\" the summation of\";else if(\"\\\\prod\"===a)if(t.superscript&&t.subscript){let i=pe.toSpeakableFragment(t.superscript,e);i=i.trim();let a=pe.toSpeakableFragment(t.subscript,e);s+=' the product from <break time=\"200ms\"/>'+(a=a.trim())+'<break time=\"200ms\"/> to <break time=\"200ms\"/>'+i+'<break time=\"200ms\"/> of <break time=\"150ms\"/>',r=!0}else if(t.subscript){let i=pe.toSpeakableFragment(t.subscript,e);s+=' the product from <break time=\"200ms\"/>'+(i=i.trim())+'<break time=\"200ms\"/> of <break time=\"150ms\"/>',r=!0}else s+=\" the product  of \";else if(\"\\\\int\"===a)if(t.superscript&&t.subscript){let a=pe.toSpeakableFragment(t.superscript,e);a=a.trim();let o=pe.toSpeakableFragment(t.subscript,e);s+=' the integral from <break time=\"200ms\"/>'+i(o=o.trim())+'<break time=\"200ms\"/> to <break time=\"200ms\"/>'+i(a)+' <break time=\"200ms\"/> of ',r=!0}else s+=' the integral of <break time=\"200ms\"/> ';else if(\"string\"==typeof t.body){s+=vs[t.body]||vs[t.latex.trim()]||\" \"+t.body}else t.latex&&t.latex.length>0&&(\"\\\\\"===t.latex[0]?s+=\" \"+t.latex.substr(1):s+=\" \"+t.latex)}break;case\"enclose\":n=pe.toSpeakableFragment(t.body,e),Ss(t.body)?s+=\" crossed out \"+n+\" , \":s+=\" crossed out \"+n+\". End cross out\";break;case\"space\":case\"spacing\":case\"mathstyle\":case\"box\":break;case\"variable\":{let e=n=(n=t.toLatex()).substring(10,n.length-1),i=\"\";const a=n.indexOf(\"_\");a>-1&&(e=n.substring(0,a),i=(i=(i=n.substring(a+1).replace(/[{}]/gm,\"\")).length>1?\" subscript \"+i+\"; End subscript; End variable\":\" sub \"+i).replace(/,/gm,vs[\",\"])),\"a\"===e&&(e=e.toUpperCase()),s+=\"the variable, \"+e+i+\". \";break}}if(!r&&t.superscript){let i=pe.toSpeakableFragment(t.superscript,e);const a=(i=i.trim()).replace(/<[^>]*>/g,\"\");if(Ss(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&&(s+='<mark name=\"'+e+'\"/>')}\"′\"===a?s+=\" prime \":\"2\"===a?s+=\" squared \":\"3\"===a?s+=\" cubed \":isNaN(parseInt(a))?s+=\" to the \"+i+\"; \":s+=' to the <say-as interpret-as=\"ordinal\">'+a+\"</say-as> power; \"}else isNaN(parseInt(a))?s+=\" raised to the \"+i+\"; \":s+=' raised to the <say-as interpret-as=\"ordinal\">'+a+\"</say-as> power; \"}if(!r&&t.subscript){let i=pe.toSpeakableFragment(t.subscript,e);i=i.trim(),Ss(t.subscript)?s+=\" sub \"+i:s+=\" subscript \"+i+\". End subscript. \"}}return s},pe.toSpeakableText=function(t,e){const i=e?JSON.parse(JSON.stringify(e)):{textToSpeechMarkup:\"\",textToSpeechRules:\"mathlive\"};if(i.speechMode=\"math\",window.sre&&\"sre\"===i.textToSpeechRules){i.generateID=!0;const e=pe.toMathML(t,i);return e?(i.textToSpeechMarkup&&(i.textToSpeechRulesOptions=i.textToSpeechRulesOptions||{},i.textToSpeechRulesOptions.markup=i.textToSpeechMarkup,\"ssml\"===i.textToSpeechRulesOptions.markup&&(i.textToSpeechRulesOptions.markup=\"ssml_step\"),i.textToSpeechRulesOptions.rate=i.speechEngineRate),i.textToSpeechRulesOptions&&window.sre.System.getInstance().setupEngine(i.textToSpeechRulesOptions),window.sre.System.getInstance().toSpeech(e)):\"\"}let s=pe.toSpeakableFragment(t,i);if(\"ssml\"===i.textToSpeechMarkup){let t=\"\";i.speechEngineRate&&(t='<prosody rate=\"'+i.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\"===i.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 $1]]\").replace(/<say-as[^>]*>/g,\"\").replace(/<\\/say-as>/g,\"\"):s.replace(/<[^>]*>/g,\"\").replace(/\\s{2,}/g,\" \");return s},Ls.prototype.handleEvent=function(t){switch(t.type){case\"focus\":this._onFocus(t);break;case\"blur\":this._onBlur(t);break;case\"touchstart\":case\"mousedown\":case\"pointerdown\":this._onPointerDown(t);break;case\"resize\":this._resizeTimer&&window.cancelAnimationFrame(this._resizeTimer),this._resizeTimer=window.requestAnimationFrame(()=>this._onResize());break;case\"cut\":this._onCut(t);break;case\"copy\":this._onCopy(t);break;case\"paste\":this._onPaste(t)}},Ls.prototype.$revertToOriginalContent=function(){this.element.innerHTML=this.originalContent,this.element.mathfield=null,delete this.accessibleNode,delete this.ariaLiveText,delete this.field,Ms(this.textarea,\"cut\",this),Ms(this.textarea,\"copy\",this),Ms(this.textarea,\"paste\",this),this.textarea.remove(),delete this.textarea,this.virtualKeyboardToggleDOMNode.remove(),delete this.virtualKeyboardToggleDOMNode,_s(this.popover),_s(this.keystrokeCaption),_s(this.virtualKeyboard),_s(document.getElementById(\"mathlive-alternate-keys-panel\")),Ms(this.element,\"pointerdown\",this),Ms(this.element,\"touchstart:active mousedown\",this),Ms(this.element,\"focus\",this),Ms(this.element,\"blur\",this),Ms(window,\"resize\",this)},Ls.prototype.$removeEventListeners=function(){Ms(this.element,\"focus\",this),Ms(this.element,\"blur\",this),Ms(this.textarea,\"cut\",this),Ms(this.textarea,\"copy\",this),Ms(this.textarea,\"paste\",this),this.removeDelegatedKeyboardEvents&&this.removeDelegatedKeyboardEvents(),window.PointerEvent?Ms(this.field,\"pointerdown\",this):Ms(this.field,\"touchstart:active mousedown\",this),Ms(window,\"resize\",this)},Ls.prototype._resetKeystrokeBuffer=function(){this.keystrokeBuffer=\"\",this.keystrokeBufferStates=[],clearTimeout(this.keystrokeBufferResetTimer)},Ls.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 i;return Array.from(e.children).forEach(function(e){i=i||t(e)}),i}(this.field);if(t){const e=t.getBoundingClientRect();return{x:e.right+window.scrollX,y:e.bottom+window.scrollY}}return null},Ls.prototype._getSelectionBounds=function(){const t=this.field.querySelectorAll(\".ML__selected\");if(t&&t.length>0){const e={top:1/0,bottom:-1/0,left:1/0,right:-1/0};t.forEach(t=>{const i=t.getBoundingClientRect();i.left<e.left&&(e.left=i.left),i.right>e.right&&(e.right=i.right),i.bottom>e.bottom&&(e.bottom=i.bottom),i.top<e.top&&(e.top=i.top)});const i=this.field.getBoundingClientRect(),s=e.right-e.left,a=e.bottom-e.top;return e.left=Math.ceil(e.left-i.left+this.field.scrollLeft),e.right=e.left+s,e.top=Math.ceil(e.top-i.top),e.bottom=e.top+a,e}return null},Ls.prototype._pathFromPoint=function(t,e,i){let s;(i=i||{}).bias=i.bias||0;const a=function t(e,i,s){let a={element:null},o=!0;if(e.getAttribute(\"data-atom-id\")){a.element=e;const t=e.getBoundingClientRect(),n=Math.max(t.left-i,i-t.right),r=Math.max(t.top-s,s-t.bottom);a.distance=n*n+r*r,o=i>=t.left&&i<=t.right}else a.distance=Number.POSITIVE_INFINITY;return o&&e.children&&Array.from(e.children).forEach(function(e){const o=t(e,i,s);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(s=ve.pathFromString(e[0]).path,0===i.bias){const e=a.getBoundingClientRect();t<e.left+e.width/2&&!a.classList.contains(\"ML__placeholder\")&&(s[s.length-1].offset=Math.max(0,s[s.length-1].offset-1))}else i.bias<0&&(s[s.length-1].offset=Math.min(this.mathlist.siblings().length-1,Math.max(0,s[s.length-1].offset+i.bias)))}return s};let Ds=0;function zs(t,e,i){const s=Object.assign({},t.config);return s.textToSpeechMarkup=\"\",s.textToSpeechRulesOptions=s.textToSpeechRulesOptions||{},s.textToSpeechRulesOptions.markup=\"none\",e+pe.toSpeakableText(i,s)}function Es(t,e,i,s){let a=\"\";\"plonk\"===e?(t.plonkSound&&(t.plonkSound.load(),t.plonkSound.play().catch(t=>void 0)),t._resetKeystrokeBuffer()):\"delete\"===e?a=zs(t,\"deleted: \",s):\"focus\"===e||/move/.test(e)?a=(t.mathlist.isCollapsed()?\"\":\"selected: \")+t._nextAtomSpeechText(i):\"replacement\"===e?a=zs(t,\"\",t.mathlist.sibling(0)):\"line\"===e?(a=zs(t,\"\",t.mathlist.root),t.accessibleNode.innerHTML='<math xmlns=\"http://www.w3.org/1998/Math/MathML\">'+pe.toMathML(t.mathlist.root,t.config)+\"</math>\",t.textarea.setAttribute(\"aria-label\",\"after: \"+a)):a=s?zs(t,e+\" \",s):e;const o=/\\u00a0/.test(t.ariaLiveText.textContent)?\"   \":\"   \";t.ariaLiveText.textContent=a+o}Ls.prototype._onPointerDown=function(t){const e=this;let i,s=!1,a=!1,o=!1;if(\"mouse\"===t.pointerType&&1!==t.buttons)return;let n=!1,r=!1;const l=setInterval(()=>{n?e.field.scroll({top:0,left:e.field.scrollLeft-16}):r&&e.field.scroll({top:0,left:e.field.scrollLeft+16})},32);function c(t){window.PointerEvent?(Ms(e.field,\"pointermove\",h),Ms(e.field,\"pointerend pointercancel pointerup\",c),e.field.releasePointerCapture(t.pointerId)):(Ms(e.field,\"touchmove\",h),Ms(e.field,\"touchend\",c),Ms(window,\"mousemove\",h),Ms(window,\"mouseup blur\",c)),s=!1,clearInterval(l),e.element.querySelectorAll(\".ML__scroller\").forEach(t=>t.parentNode.removeChild(t)),t.preventDefault(),t.stopPropagation()}function h(t){const s=t.touches?t.touches[0].clientX:t.clientX,o=t.touches?t.touches[0].clientY:t.clientY,l=\"touch\"===t.pointerType?20:5;if(Date.now()<m+500&&Math.abs(p-s)<l&&Math.abs(d-o)<l)return t.preventDefault(),void t.stopPropagation();const c=e.field.getBoundingClientRect();r=s>c.right,n=s<c.left;let h=i;window.PointerEvent?t.isPrimary||(h=e._pathFromPoint(t.clientX,t.clientY,{bias:0})):t.touches&&2===t.touches.length&&(h=e._pathFromPoint(t.touches[1].clientX,t.touches[1].clientY,{bias:0}));const u=e._pathFromPoint(s,o,{bias:s<=p?s===p?0:-1:1});u&&e.mathlist.setRange(h,u,{extendToWordBoundary:a})&&e._requestUpdate(),t.preventDefault(),t.stopPropagation()}const p=t.touches?t.touches[0].clientX:t.clientX,d=t.touches?t.touches[0].clientY:t.clientY,m=Date.now();Fs&&Math.abs(Fs.x-p)<5&&Math.abs(Fs.y-d)<5&&Date.now()<Fs.time+500?(Ds+=1,Fs.time=m):(Fs={x:p,y:d,time:m},Ds=1);const u=this.field.getBoundingClientRect();if(p>=u.left&&p<=u.right&&d>=u.top&&d<=u.bottom){if(this.$hasFocus()||(o=!0,this.textarea.focus&&this.textarea.focus()),this._resetKeystrokeBuffer(),this.smartModeSuppressed=!1,i=this._pathFromPoint(p,d,{bias:0})){let n=document.createElement(\"div\");n.className=\"ML__scroller\",this.element.appendChild(n),n.style.left=\"-200px\",n.style.top=-u.top+\"px\",(n=document.createElement(\"div\")).className=\"ML__scroller\",this.element.appendChild(n),n.style.left=u.width+\"px\",n.style.top=-u.top+\"px\",t.shiftKey?(this.mathlist.setRange(this.mathlist.path,i),(i=ve.clone(this.mathlist.path))[i.length-1].offset-=1):this.mathlist.setPath(i,0),o=!0,this.style={},3===t.detail||Ds>2?(c(t),3!==t.detail&&3!==Ds||this.mathlist.selectAll_()):s||(s=!0,window.PointerEvent?(As(e.field,\"pointermove\",h),As(e.field,\"pointerend pointercancel pointerup\",c),document.body.contains(e.field)&&e.field.setPointerCapture(t.pointerId)):(As(window,\"blur\",c),t.touches?(As(t.target,\"touchmove\",h),As(t.target,\"touchend\",c)):(As(window,\"mousemove\",h),As(window,\"mouseup\",c))),2!==t.detail&&2!==Ds||(a=!0,this.mathlist.selectGroup_()))}}else Fs=null;o&&this._requestUpdate(),t.preventDefault()},Ls.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),\"command\"===t&&\"command\"!==this.mode&&(oi.hidePopover(this),this.mathlist.removeCommandString())}oi.updatePopoverPosition(this,{deferred:!0}),\"function\"==typeof this.config.onSelectionDidChange&&this.config.onSelectionDidChange(this)},Ls.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)},Ls.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 i=t?t.path:[],s=this.mathlist.path,a=s[s.length-1];let o=\"\";for(;i.length>s.length;)o+=\"out of \"+e(t.parent(),i[i.length-1])+\"; \",i.pop();if(!this.mathlist.isCollapsed())return zs(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+=zs(this,\"\",r):0!==a.offset&&(o+=n?\"end of \"+n:\"unknown\"),o},Ls.prototype._announce=function(t,e,i){\"function\"==typeof this.config.onAnnounce&&this.config.onAnnounce(this,t,e,i)},Ls.prototype._onFocus=function(){this.blurred&&(this.blurred=!1,this.textarea.focus&&this.textarea.focus(),\"onfocus\"===this.config.virtualKeyboardMode&&this.showVirtualKeyboard_(),oi.updatePopoverPosition(this),this.config.onFocus&&this.config.onFocus(this),this._requestUpdate())},Ls.prototype._onBlur=function(){this.blurred||(this.blurred=!0,this.ariaLiveText.textContent=\"\",\"onfocus\"===this.config.virtualKeyboardMode&&this.hideVirtualKeyboard_(),this.complete_({discard:!0}),this._requestUpdate(),this.config.onBlur&&this.config.onBlur(this))},Ls.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\"),oi.updatePopoverPosition(this)},Ls.prototype.toggleKeystrokeCaption_=function(){this.keystrokeCaptionVisible=!this.keystrokeCaptionVisible,this.keystrokeCaption.innerHTML=\"\",this.keystrokeCaptionVisible||(this.keystrokeCaption.style.visibility=\"hidden\")},Ls.prototype._showKeystroke=function(t){const e=this.keystrokeCaption;if(e&&this.keystrokeCaptionVisible){const i=this.element.getBoundingClientRect();e.style.left=i.left+\"px\",e.style.top=i.top-64+\"px\",e.innerHTML=\"<span>\"+(Le.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)}},Ls.prototype.$perform=function(t){if(!t)return!1;let e,i=!1,s=[],a=!1;if(Array.isArray(t)?(e=t[0],s=t.slice(1)):e=t,\"applyStyle\"===(e=e.replace(/-\\w/g,t=>t[1].toUpperCase()))?e=\"$\"+e:e+=\"_\",\"function\"==typeof this.mathlist[e]){if(/^(delete|transpose|add)/.test(e)&&this._resetKeystrokeBuffer(),/^(delete|transpose|add)/.test(e)&&\"command\"!==this.mode&&(this.undoManager.pop(),this.undoManager.snapshot(this.config)),this.mathlist[e](...s),/^(delete|transpose|add)/.test(e)&&\"command\"!==this.mode&&this.undoManager.snapshot(this.config),/^(delete)/.test(e)&&\"command\"===this.mode){const t=this.mathlist.extractCommandStringAroundInsertionPoint(),e=this._getSuggestions(t);0===e.length?oi.hidePopover(this):oi.showPopoverWithLatex(this,e[0].match,e.length>1)}a=!0,i=!0}else\"function\"==typeof this[e]&&(a=this[e](...s),i=!0);return this.mathlist.isCollapsed()&&!/^(transpose|paste|complete|((moveToNextChar|moveToPreviousChar|extend).*))_$/.test(e)||(this._resetKeystrokeBuffer(),this.style={}),a&&this._requestUpdate(),i},Ls.prototype.performWithFeedback_=function(t){return this.$focus(),this.config.keypressVibration&&navigator.vibrate&&navigator.vibrate(3),\"moveToNextPlaceholder\"===(t=t.replace(/-\\w/g,t=>t[1].toUpperCase()))||\"moveToPreviousPlaceholder\"===t||\"complete\"===t?this.returnKeypressSound?(this.returnKeypressSound.load(),this.returnKeypressSound.play().catch(t=>void 0)):this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play().catch(t=>void 0)):\"deletePreviousChar\"!==t&&\"deleteNextChar\"!==t&&\"deletePreviousWord\"!==t&&\"deleteNextWord\"!==t&&\"deleteToGroupStart\"!==t&&\"deleteToGroupEnd\"!==t&&\"deleteToMathFieldStart\"!==t&&\"deleteToMathFieldEnd\"!==t||!this.deleteKeypressSound?this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play().catch(t=>void 0)):(this.deleteKeypressSound.load(),this.deleteKeypressSound.play().catch(t=>void 0)),this.$perform(t)},Ls.prototype.convertLastAtomsToText_=function(t,e){\"function\"==typeof t&&(e=t,t=1/0),void 0===t&&(t=1/0);let i=0,s=!1;for(this.mathlist.contentWillChange();!s;){const a=this.mathlist.sibling(i);(s=0===t||!a||\"math\"!==a.mode||!(/mord|textord|mpunct/.test(a.type)||\"mop\"===a.type&&/[a-zA-Z]+/.test(a.body))||a.superscript||a.subscript||e&&!e(a))||(a.applyStyle({mode:\"text\"}),a.latex=a.body),i-=1,t-=1}this.mathlist.contentDidChange()},Ls.prototype.convertLastAtomsToMath_=function(t,e){\"function\"==typeof t&&(e=t,t=1/0),void 0===t&&(t=1/0),this.mathlist.contentWillChange();let i=0,s=!1;for(;!s;){const a=this.mathlist.sibling(i);(s=0===t||!a||\"text\"!==a.mode||\" \"===a.body||e&&!e(a))||a.applyStyle({mode:\"math\",type:\"mord\"}),i-=1,t-=1}this.removeIsolatedSpace_(),this.mathlist.contentDidChange()},Ls.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}},Ls.prototype.getTextBeforeAnchor_=function(){let t=\"\",e=0,i=!1;for(;!i;){const s=this.mathlist.sibling(e);(i=!(s&&(\"text\"===s.mode&&!s.type||\"math\"===s.mode&&/mord|textord|mpunct/.test(s.type))))||(t=s.body+t),e-=1}return t},Ls.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 i=Ye.eventToChar(e);if(i.length>1)return!1;if(!this.mathlist.isCollapsed())return!(\"text\"!==this.mode||!/[/_^]/.test(i));const s=this.getTextBeforeAnchor_()+i;if(\"text\"===this.mode){if(\"Esc\"===t||/[/\\\\]/.test(i))return!0;if(/[\\^_]/.test(i))return/(^|\\s)[a-zA-Z][^_]$/.test(s)&&this.convertLastAtomsToMath_(1),!0;const e={\")\":\"(\",\"}\":\"{\",\"]\":\"[\"}[i];if(e&&this.mathlist.parent()&&\"leftright\"===this.mathlist.parent().type&&this.mathlist.parent().leftDelim===e)return!0;if(/(^|[^a-zA-Z])(a|I)[ ]$/.test(s))return!1;if(/[$€£₤₺¥¤฿¢₡₧₨₹₩₱]/u.test(i))return!0;if(/(^|[^a-zA-Z'’])[a-zA-Z][ ]$/.test(s))return this.convertLastAtomsToMath_(1),!1;if(/[^0-9]\\.[^0-9\\s]$/.test(s)){this.convertLastAtomsToMath_(1);const t=this.mathlist.sibling(0);return t.body=\"⋅\",t.autoFontFamily=\"cmr\",t.latex=\"\\\\cdot\",!0}if(/(^|\\s)[a-zA-Z][^a-zA-Z]$/.test(s))return this.convertLastAtomsToMath_(1),!0;if(/\\.[0-9]$/.test(s))return this.convertLastAtomsToMath_(1),!0;if(/[(][0-9+\\-.]$/.test(s))return this.convertLastAtomsToMath_(1),!0;if(/[(][a-z][,;]$/.test(s))return this.convertLastAtomsToMath_(2),!0;if(/[0-9+\\-=><*|]$/.test(i))return this.removeIsolatedSpace_(),!0}else{if(\"Spacebar\"===t)return this.convertLastAtomsToText_(t=>/[a-z][:,;.]$/.test(t.body)),!0;if(/[a-zA-Z]{3,}$/.test(s)&&!/(dxd|abc|xyz|uvw)$/.test(s))return this.convertLastAtomsToText_(t=>/[a-zA-Z:,;.]/.test(t.body)),!0;if(/(^|\\W)(if|If)$/i.test(s))return this.convertLastAtomsToText_(1),!0;if(/(\\u0393|\\u0394|\\u0398|\\u039b|\\u039E|\\u03A0|\\u03A3|\\u03a5|\\u03a6|\\u03a8|\\u03a9|[\\u03b1-\\u03c9]|\\u03d1|\\u03d5|\\u03d6|\\u03f1|\\u03f5){3,}$/u.test(s)&&!/(αβγ)$/.test(s))return this.convertLastAtomsToText_(t=>/(:|,|;|.|\\u0393|\\u0394|\\u0398|\\u039b|\\u039E|\\u03A0|\\u03A3|\\u03a5|\\u03a6|\\u03a8|\\u03a9|[\\u03b1-\\u03c9]|\\u03d1|\\u03d5|\\u03d6|\\u03f1|\\u03f5)/u.test(t.body)),!0;if(/\\?|\\./.test(i))return!0}return!1},Ls.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 i,s,a,o=!1;if(\"command\"!==this.mode&&(!e||!e.ctrlKey&&!e.metaKey)){const t=Ye.eventToChar(e);if(\"Backspace\"!==t)if(!t||t.length>1)this._resetKeystrokeBuffer();else{const e=this.keystrokeBuffer+t;let a=0;for(;!i&&a<e.length;){let t;if(this.keystrokeBufferStates[a]){const e=new Ue.EditableMathlist;e.root=pe.makeRoot(\"math\",be.parseTokens(x.tokenize(this.keystrokeBufferStates[a].latex),this.config.default,null,this.config.macros)),e.setPath(this.keystrokeBufferStates[a].selection),t=e.siblings()}else t=this.mathlist.siblings();i=Le.forString(this.mode,t,e.slice(a),this.config),a+=1}s=a-1,this.keystrokeBuffer+=t,this.keystrokeBufferStates.push(this.undoManager.save()),Le.startsWithString(e,this.config).length<=1?o=!0:this.config.inlineShortcutTimeout&&(this.keystrokeBufferResetTimer=setTimeout(()=>{this._resetKeystrokeBuffer()},this.config.inlineShortcutTimeout))}}if(this.config.smartMode){const s=this.mode;i?this.mode=\"math\":this.smartMode_(t,e)&&(this.mode={math:\"text\",text:\"math\"}[this.mode],a=\"\"),this.mode!==s&&\"function\"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode)}if(i||a||(a=Le.selectorForKeystroke(this.mode,t)),!i&&!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.config.smartFence&&this.mathlist._insertSmartFence(\".\")&&(a=\"\",this._requestUpdate()),\"math\"===this.mode&&\"Spacebar\"===t&&!i){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.$perform(a)||i)&&i){if(!/^(\\\\{|\\\\}|\\\\[|\\\\]|\\\\@|\\\\#|\\\\$|\\\\%|\\\\^|\\\\_|\\\\backslash)$/.test(i)){const t={...this.mathlist.anchorStyle(),...this.style};this.mathlist.insert(Ye.eventToChar(e),{suppressChangeNotifications:!0,mode:this.mode,style:t});const i=this.mode;this.undoManager.snapshotAndCoalesce(this.config),this.undoManager.restore(this.keystrokeBufferStates[s],{...this.config,suppressChangeNotifications:!0}),this.mode=i}this.mathlist.contentWillChange();const t=this.mathlist.suppressChangeNotifications;this.mathlist.suppressChangeNotifications=!0;const a={...this.mathlist.anchorStyle(),...this.style};this.mathlist.insert(i,{format:\"latex\",mode:this.mode,style:a,smartFence:!0}),this.removeIsolatedSpace_(),i.endsWith(\" \")&&(this.mode=\"text\",this.mathlist.insert(\" \",{mode:\"text\",style:a})),this.mathlist.suppressChangeNotifications=t,this.mathlist.contentDidChange(),this.undoManager.snapshot(this.config),this._requestUpdate(),this._announce(\"replacement\"),o&&this._resetKeystrokeBuffer()}return this.scrollIntoView(),e&&e.preventDefault&&(e.preventDefault(),e.stopPropagation()),!1},Ls.prototype._onTypedText=function(t,e){if((e=e||{}).focus&&this.$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),i=Ye.charToEvent(e);if(!this.$keystroke(Ye.keyboardEventToString(i),i))return}let i=\"\",s=!1;if(this.pasteInProgress)this.pasteInProgress=!1,this.mathlist.insert(t,{smartFence:this.config.smartFence,mode:\"math\"});else{const e={...this.mathlist.anchorStyle(),...this.style},a=g.splitGraphemes(t);for(const t of a)if(\"command\"===this.mode){this.mathlist.removeSuggestion(),this.suggestionIndex=0;const e=this.mathlist.extractCommandStringAroundInsertionPoint(),a=this._getSuggestions(e+t);s=a.length>1,0===a.length?(this.mathlist.insert(t,{mode:\"command\"}),/^\\\\[a-zA-Z\\\\*]+$/.test(e+t)&&this.mathlist.decorateCommandStringAroundInsertionPoint(!0),oi.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),i=a[0].match)}else if(\"math\"===this.mode){const i={\"^\":\"moveToSuperscript\",_:\"moveToSubscript\",\" \":\"moveAfterParent\"}[t];if(i){if(\"moveToSuperscript\"===i){if(this._superscriptDepth()>=this.config.scriptDepth[1])return void this._announce(\"plonk\")}else if(\"moveToSubscript\"===i&&this._subscriptDepth()>=this.config.scriptDepth[0])return void this._announce(\"plonk\");this.$perform(i)}else this.config.smartSuperscript&&\"superscript\"===this.mathlist.relation()&&/[0-9]/.test(t)&&0===this.mathlist.siblings().filter(t=>\"first\"!==t.type).length?(this.mathlist.insert(t,{mode:\"math\",style:e}),this.mathlist.moveAfterParent_()):this.mathlist.insert(t,{mode:\"math\",style:e,smartFence:this.config.smartFence})}else\"text\"===this.mode&&this.mathlist.insert(t,{mode:\"text\",style:e})}\"command\"!==this.mode&&this.undoManager.snapshotAndCoalesce(this.config),this._requestUpdate(),this.scrollIntoView(),oi.showPopoverWithLatex(this,i,s)},Ls.prototype._hash=function(){let t=0;const e=this.mathlist.root.toLatex(!1);for(let i=0;i<e.length;i++)t=31*t+e.charCodeAt(i),t|=0;return Math.abs(t)},Ls.prototype._requestUpdate=function(){this.dirty||(this.dirty=!0,requestAnimationFrame(t=>this._render()))},Ls.prototype._render=function(t){t=t||{},this.dirty=!1,window.mathlive||(window.mathlive={}),this.mathlist.anchor()||(this.mathlist.path=[{relation:\"body\",offset:0}]),this.mathlist.forEach(t=>{t.caret=\"\",t.isSelected=!1});const e=this.$hasFocus();this.mathlist.isCollapsed()?this.mathlist.anchor().caret=e?this.mode:\"\":this.mathlist.forEachSelected(t=>{t.isSelected=!0});const i=pe.decompose({mathstyle:\"displaystyle\",generateID:{seed:this._hash(),groupNumbers:t.forHighlighting},macros:this.config.macros},this.mathlist.root),s=Q.makeSpan(i,\"ML__base\");s.attributes={translate:\"no\",\"aria-hidden\":\"true\"};const a=Q.makeSpan(\"\",\"ML__strut\");a.setStyle(\"height\",s.height,\"em\");const o=[a];if(0!==s.depth){const t=Q.makeSpan(\"\",\"ML__strut--bottom\");t.setStyle(\"height\",s.height+s.depth,\"em\"),t.setStyle(\"vertical-align\",-s.depth,\"em\"),o.push(t)}o.push(s);const n=Q.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'>\"+pe.toMathML(this.mathlist.root,this.config)+\"</math>\";const r=this._getSelectionBounds();if(r){const t=document.createElement(\"div\");t.classList.add(\"ML__selection\"),t.style.position=\"absolute\",t.style.left=r.left+\"px\",t.style.top=r.top+\"px\",t.style.width=Math.ceil(r.right-r.left)+\"px\",t.style.height=Math.ceil(r.bottom-r.top-1)+\"px\",this.field.insertBefore(t,this.field.childNodes[0])}},Ls.prototype._onPaste=function(){return this.pasteInProgress=!0,!0},Ls.prototype._onCut=function(){return setTimeout(function(){this.$clearSelection(),this._requestUpdate()}.bind(this),0),!0},Ls.prototype._onCopy=function(t){this.mathlist.isCollapsed()?(t.clipboardData.setData(\"text/plain\",this.$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()},Ls.prototype.formatMathlist=function(t,e){let i=\"\";if(\"latex\"===(e=e||\"latex\")||\"latex-expanded\"===e)i=t.toLatex(\"latex-expanded\"===e);else if(\"mathML\"===e)i=t.toMathML(this.config);else if(\"spoken\"===e)i=pe.toSpeakableText(t,this.config);else if(\"spoken-text\"===e){const e=this.config.textToSpeechMarkup;this.config.textToSpeechMarkup=\"\",i=pe.toSpeakableText(t,this.config),this.config.textToSpeechMarkup=e}else if(\"spoken-ssml\"===e||\"spoken-ssml-withHighlighting\"===e){const s=this.config.textToSpeechMarkup,a=this.config.generateID;this.config.textToSpeechMarkup=\"ssml\",\"spoken-ssml-withHighlighting\"===e&&(this.config.generateID=!0),i=pe.toSpeakableText(t,this.config),this.config.textToSpeechMarkup=s,this.config.generateID=a}else if(\"json\"===e){const e=pe.toAST(t,this.config);i=JSON.stringify(e)}else\"ASCIIMath\"===e&&(i=function t(e,i){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 s=0;for(i='\"';e[s]&&\"text\"===e[s].mode;)i+=e[s].body,s++;i+='\"'+t(e.slice(s))}else{let s=0;for(;e[s]&&\"math\"===e[s].mode;)i+=t(e[s]),s++;i+=t(e.slice(s))}return i.trim()}let s=\"\";const a=e.latex?e.latex.trim():null;let o;switch(e.type){case\"group\":case\"root\":s=t(e.body);break;case\"array\":break;case\"genfrac\":(e.leftDelim||e.rightDelim)&&(s+=\".\"!==e.leftDelim&&e.leftDelim?e.leftDelim:\"{:\"),e.hasBarLine?(s+=\"(\",s+=t(e.numer),s+=\")/(\",s+=t(e.denom),s+=\")\"):(s+=\"(\"+t(e.numer)+\"),\",s+=\"(\"+t(e.denom)+\")\"),(e.leftDelim||e.rightDelim)&&(s+=\".\"!==e.rightDelim&&e.rightDelim?e.rightDelim:\"{:\");break;case\"surd\":e.index?s+=\"root(\"+t(e.index)+\")(\"+t(e.body)+\")\":s+=\"sqrt(\"+t(e.body)+\")\";break;case\"leftright\":s+=\".\"!==e.leftDelim&&e.leftDelim?e.leftDelim:\"{:\",s+=t(e.body),s+=\".\"!==e.rightDelim&&e.rightDelim?e.rightDelim:\"{:\";break;case\"sizeddelim\":case\"delim\":case\"accent\":break;case\"line\":case\"overlap\":case\"overunder\":break;case\"mord\":\"\\\\\"===(s=bi[a]||a||(\"string\"==typeof e.body?e.body:\"\"))[0]&&(s+=\"\"),(o=a?a.match(/[{]?\\\\char\"([0-9abcdefABCDEF]*)[}]?/):null)?s=String.fromCharCode(parseInt(\"0x\"+o[1])):s.length>0&&\"\\\\\"===s.charAt(0)&&(s=\"string\"==typeof e.body?e.body.charAt(0):e.latex);break;case\"mbin\":case\"mrel\":case\"textord\":case\"minner\":s=a&&bi[a]?bi[a]:a&&xi[a]?xi[a]:e.body;break;case\"mopen\":case\"mclose\":s+=e.body;break;case\"mpunct\":s=xi[a]||a;break;case\"mop\":\"​\"!==e.body&&(s=\"\",s+=\"\\\\operatorname\"===a?e.body:e.body||a,s+=\" \");break;case\"mathstyle\":case\"box\":case\"spacing\":case\"enclose\":break;case\"space\":s=\" \"}if(e.subscript){s+=\"_\";const i=t(e.subscript);i.length>1&&!/^(-)?\\d+(\\.\\d*)?$/.test(i)?s+=\"(\"+i+\")\":s+=i}if(e.superscript){s+=\"^\";const i=t(e.superscript);i.length>1&&!/^(-)?\\d+(\\.\\d*)?$/.test(i)?s+=\"(\"+i+\")\":s+=i}return s}(t,this.config));return i},Ls.prototype.$text=function(t){return this.formatMathlist(this.mathlist.root,t)},Ls.prototype.$selectedText=function(t){const e=this.mathlist.getSelectedAtoms();if(!e)return\"\";const i=pe.makeRoot(\"math\",e);return this.formatMathlist(i,t)},Ls.prototype.$selectionIsCollapsed=function(){return this.mathlist.isCollapsed()},Ls.prototype.$selectionDepth=function(){return this.mathlist.path.length},Ls.prototype._superscriptDepth=function(){let t=0,e=0,i=this.mathlist.ancestor(e),s=!1;for(;i;)(i.superscript||i.subscript)&&(t+=1),i.superscript?s=!0:i.subscript&&(s=!1),e+=1,i=this.mathlist.ancestor(e);return s?t:0},Ls.prototype._subscriptDepth=function(){let t=0,e=0,i=this.mathlist.ancestor(e),s=!1;for(;i;)(i.superscript||i.subscript)&&(t+=1),i.superscript?s=!1:i.subscript&&(s=!0),e+=1,i=this.mathlist.ancestor(e);return s?t:0},Ls.prototype.$selectionAtStart=function(){return 0===this.mathlist.startOffset()},Ls.prototype.$selectionAtEnd=function(){return this.mathlist.endOffset()>=this.mathlist.siblings().length-1},Ls.prototype.groupIsSelected=function(){return 0===this.mathlist.startOffset()&&this.mathlist.endOffset()>=this.mathlist.siblings().length-1},Ls.prototype.$latex=function(t,e){return(e=e||{}).suppressChangeNotifications=!!e.suppressChangeNotifications,e.outputStyles=!!e.outputStyles,void 0!==t?(t!==this.mathlist.root.toLatex(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._requestUpdate()),t):this.mathlist.root.toLatex(e)},Ls.prototype.$el=function(){return this.element},Ls.prototype.undo_=Ls.prototype.undo=function(){return this.complete_(),this.undoManager.undo(this.config),!0},Ls.prototype.redo_=Ls.prototype.redo=function(){return this.complete_(),this.undoManager.redo(this.config),!0},Ls.prototype.scrollIntoView_=Ls.prototype.scrollIntoView=function(){this.dirty&&this._render();let t=this._getCaretPosition();const e=this.field.getBoundingClientRect();if(!t){const i=this._getSelectionBounds();i&&(t={x:i.right+e.left-this.field.scrollLeft,y:i.top+e.top-this.field.scrollTop})}if(t){const i=t.x-window.scrollX;i<e.left?this.field.scroll({top:0,left:i-e.left+this.field.scrollLeft-20,behavior:\"smooth\"}):i>e.right&&this.field.scroll({top:0,left:i-e.right+this.field.scrollLeft+20,behavior:\"smooth\"})}},Ls.prototype.scrollToStart_=Ls.prototype.scrollToStart=function(){this.field.scroll(0,0)},Ls.prototype.scrollToEnd_=Ls.prototype.scrollToEnd=function(){const t=this.field.getBoundingClientRect();this.field.scroll(t.left-window.scrollX,0)},Ls.prototype.enterCommandMode_=function(){this.switchMode_(\"command\")},Ls.prototype.copyToClipboard_=function(){return this.$focus(),this.mathlist.isCollapsed()&&this.$select(),document.execCommand(\"copy\"),!1},Ls.prototype.cutToClipboard_=function(){return this.$focus(),document.execCommand(\"cut\"),!0},Ls.prototype.pasteFromClipboard_=function(){return this.$focus(),document.execCommand(\"paste\"),!0},Ls.prototype.insert_=Ls.prototype.$insert=function(t,e){if(\"string\"==typeof t&&t.length>0){if((e=e||{}).focus&&this.$focus(),e.feedback&&(this.config.keypressVibration&&navigator.vibrate&&navigator.vibrate(3),this.keypressSound&&(this.keypressSound.load(),this.keypressSound.play())),\"\\\\\\\\\"===t)this.mathlist.addRowAfter_();else if(\"&\"===t)this.mathlist.addColumnAfter_();else{const i=this.style;this.mathlist.insert(t,{mode:this.mode,style:this.mathlist.anchorStyle(),...e}),e.resetStyle&&(this.style=i)}return this.undoManager.snapshot(this.config),this._requestUpdate(),!0}return!1},Ls.prototype.switchMode_=function(t,e,i){this._resetKeystrokeBuffer(),this.smartModeSuppressed=/text|math/.test(this.mode)&&/text|math/.test(t),e&&this.$insert(e,{format:\"latex\",mode:{math:\"text\",text:\"math\"}[t]}),this.mathlist.decorateCommandStringAroundInsertionPoint(!1),\"command\"===t?(this.mathlist.removeSuggestion(),oi.hidePopover(this),this.suggestionIndex=0,this.virtualKeyboardVisible&&this.switchKeyboardLayer_(\"lower-command\"),this.mathlist.insert(\"\u001b\",{mode:\"math\"})):this.mode=t,i&&this.$insert(i,{format:\"latex\",mode:t}),\"function\"==typeof this.config.onModeChange&&this.config.onModeChange(this,this.mode),this._requestUpdate()},Ls.prototype.complete_=function(t){if(t=t||{},oi.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(It.commandAllowed(t,e)){const i=be.parseTokens(x.tokenize(e),t,null,this.config.macros);this.mathlist.spliceCommandStringAroundInsertionPoint(i)}else{const i=be.parseTokens(x.tokenize(e),t,null,this.config.macros);i?this.mathlist.spliceCommandStringAroundInsertionPoint(i):this.mathlist.decorateCommandStringAroundInsertionPoint(!0)}}return this.undoManager.snapshot(this.config),this._announce(\"replacement\"),this.switchMode_(\"math\"),!0}return!1},Ls.prototype._getSuggestions=function(t){let e=It.suggest(t);return this.config.suggestionWhitelist&&(e=e.filter(t=>this.config.suggestionWhitelist.includes(t.match))),this.config.suggestionBlacklist&&(e=e.filter(t=>!this.config.suggestionBlacklist.includes(t.match))),e},Ls.prototype._updateSuggestion=function(){this.mathlist.positionInsertionPointAfterCommitedCommand(),this.mathlist.removeSuggestion();const t=this.mathlist.extractCommandStringAroundInsertionPoint(),e=this._getSuggestions(t);if(0===e.length)oi.hidePopover(this),this.mathlist.decorateCommandStringAroundInsertionPoint(!0);else{const i=this.suggestionIndex%e.length,s=t.length-e[i].match.length;0!==s&&this.mathlist.insertSuggestion(e[i].match,s),oi.showPopoverWithLatex(this,e[i].match,e.length>1)}this._requestUpdate()},Ls.prototype.nextSuggestion_=function(){return this.suggestionIndex+=1,this._updateSuggestion(),!1},Ls.prototype.previousSuggestion_=function(){if(this.suggestionIndex-=1,this.suggestionIndex<0){this.mathlist.removeSuggestion();const t=this.mathlist.extractCommandStringAroundInsertionPoint(),e=this._getSuggestions(t);this.suggestionIndex=e.length-1}return this._updateSuggestion(),!1},Ls.prototype._attachButtonHandlers=function(t,e){const i=this;let s,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)),As(t,\"mousedown touchstart:passive\",function(e){if(\"mousedown\"!==e.type||1===e.buttons){e.stopPropagation(),e.preventDefault(),t.classList.add(\"pressed\"),s=Date.now(),\"touchstart\"===e.type&&(o=e.changedTouches[0].identifier);const n=t.getAttribute(\"data-\"+i.config.namespace+\"command-pressed\");n&&i.$perform(JSON.parse(n));const l=t.getAttribute(\"data-\"+i.config.namespace+\"command-pressAndHoldStart\");l&&(a=t,r&&clearTimeout(r),r=window.setTimeout(function(){t.classList.contains(\"pressed\")&&i.$perform(JSON.parse(l))},300))}}),As(t,\"mouseleave touchcancel\",function(){t.classList.remove(\"pressed\")}),As(t,\"touchmove:passive\",function(t){t.preventDefault();for(let e=0;e<t.changedTouches.length;e++)if(t.changedTouches[e].identifier===o){const i=document.elementFromPoint(t.changedTouches[e].clientX,t.changedTouches[e].clientY);i!==n&&n&&(n.dispatchEvent(new MouseEvent(\"mouseleave\"),{bubbles:!0}),n=null),i&&(n=i,i.dispatchEvent(new MouseEvent(\"mouseenter\",{bubbles:!0,buttons:1})))}}),As(t,\"mouseenter\",function(e){1===e.buttons&&t.classList.add(\"pressed\")}),As(t,\"mouseup touchend click\",function(e){if(n){e.stopPropagation(),e.preventDefault();const t=n;return n=null,void t.dispatchEvent(new MouseEvent(\"mouseup\",{bubbles:!0}))}if(t.classList.remove(\"pressed\"),t.classList.add(\"active\"),\"click\"===e.type&&0!==e.detail)return e.stopPropagation(),void e.preventDefault();window.setTimeout(function(){t.classList.remove(\"active\")},150);let o=t.getAttribute(\"data-\"+i.config.namespace+\"command-pressAndHoldEnd\");const r=Date.now();(t!==a||r<s+300)&&(o=void 0),!o&&e.altKey&&e.shiftKey&&(o=t.getAttribute(\"data-\"+i.config.namespace+\"command-altshift\")),!o&&e.altKey&&(o=t.getAttribute(\"data-\"+i.config.namespace+\"command-alt\")),!o&&e.shiftKey&&(o=t.getAttribute(\"data-\"+i.config.namespace+\"command-shift\")),o||(o=t.getAttribute(\"data-\"+i.config.namespace+\"command\")),o&&i.$perform(JSON.parse(o)),e.stopPropagation(),e.preventDefault()})},Ls.prototype._makeButton=function(t,e,i,s){const a=document.createElement(\"span\");return a.innerHTML=t,e&&a.classList.add([].slice.call(e.split(\" \"))),i&&a.setAttribute(\"aria-label\",i),this._attachButtonHandlers(a,s),a},Ls.prototype.showAlternateKeys_=function(t,e){const i=Cs(\"mathlive-alternate-keys-panel\",\"ML__keyboard alternate-keys\");this.virtualKeyboard.classList.contains(\"material\")&&i.classList.add(\"material\"),e.length>=7?i.style.width=\"286px\":4===e.length||2===e.length?i.style.width=\"146px\":1===e.length?i.style.width=\"86px\":i.style.width=\"146px\",i.style.height=\"auto\";let s=\"\";for(const t of e)s+=\"<li\",\"string\"==typeof t?s+=' data-latex=\"'+t.replace(/\"/g,\"&quot;\")+'\"':(t.latex&&(s+=' data-latex=\"'+t.latex.replace(/\"/g,\"&quot;\")+'\"'),t.content&&(s+=' data-content=\"'+t.content.replace(/\"/g,\"&quot;\")+'\"'),t.insert&&(s+=' data-insert=\"'+t.insert.replace(/\"/g,\"&quot;\")+'\"'),t.command&&(s+=\" data-command='\"+t.command.replace(/\"/g,\"&quot;\")+\"'\"),t.aside&&(s+=' data-aside=\"'+t.aside.replace(/\"/g,\"&quot;\")+'\"'),t.classes&&(s+=' data-classes=\"'+t.classes+'\"')),s+=\">\",s+=t.label||\"\",s+=\"</li>\";s=\"<ul>\"+s+\"</ul>\",i.innerHTML=s,yi.makeKeycap(this,i.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-i.clientHeight<0&&(i.style.width=\"auto\",e.length<=6?i.style.height=\"56px\":e.length<=12?i.style.height=\"108px\":i.style.height=\"205px\");const t=(a.top-i.clientHeight+5).toString()+\"px\",s=Math.max(0,Math.min(window.innerWidth-i.offsetWidth,(a.left+a.right-i.offsetWidth)/2))+\"px\";i.style.transform=\"translate(\"+s+\",\"+t+\")\",i.classList.add(\"is-visible\")}return!1},Ls.prototype.hideAlternateKeys_=function(){const t=document.getElementById(\"mathlive-alternate-keys-panel\");return t&&(t.classList.remove(\"is-visible\"),t.innerHTML=\"\",_s(t)),!1},Ls.prototype.performAlternateKeys_=function(t){return this.hideAlternateKeys_(),this.$perform(t)},Ls.prototype.switchKeyboardLayer_=function(t){if(\"off\"!==this.config.virtualKeyboardMode){\"lower-command\"!==t&&\"upper-command\"!==t&&\"symbols-command\"!==t&&this.complete_(),this.showVirtualKeyboard_(),this.hideAlternateKeys_(),this.unshiftKeyboardLayer_();const e=this.virtualKeyboard.getElementsByClassName(\"keyboard-layer\");let i=!1;for(let s=0;s<e.length;s++)if(e[s].id===t){i=!0;break}if(i)for(let i=0;i<e.length;i++)e[i].id===t?e[i].classList.add(\"is-visible\"):e[i].classList.remove(\"is-visible\");this.$focus()}return!0},Ls.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 i=t[e];let s=i.getAttribute(\"data-shifted\");if(s||/^[a-z]$/.test(i.innerHTML)){i.setAttribute(\"data-unshifted-content\",i.innerHTML),s||(s=i.innerHTML.toUpperCase()),i.innerHTML=s;const t=i.getAttribute(\"data-\"+this.config.namespace+\"command\");if(t){i.setAttribute(\"data-unshifted-command\",t);const e=i.getAttribute(\"data-shifted-command\");if(e)i.setAttribute(\"data-\"+this.config.namespace+\"command\",e);else{const e=JSON.parse(t);Array.isArray(e)&&(e[1]=e[1].toUpperCase()),i.setAttribute(\"data-\"+this.config.namespace+\"command\",JSON.stringify(e))}}}}return!1},Ls.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 i=t[e],s=i.getAttribute(\"data-unshifted-content\");s&&(i.innerHTML=s);const a=i.getAttribute(\"data-unshifted-command\");a&&i.setAttribute(\"data-\"+this.config.namespace+\"command\",a)}return!1},Ls.prototype.insertAndUnshiftKeyboardLayer_=function(t){return this.insert_(t),this.unshiftKeyboardLayer_(),!0},Ls.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},Ls.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},Ls.prototype.showVirtualKeyboard_=function(t){return this.virtualKeyboardVisible=!1,this.toggleVirtualKeyboard_(t),!1},Ls.prototype.hideVirtualKeyboard_=function(){return this.virtualKeyboardVisible=!0,this.toggleVirtualKeyboard_(),!1},Ls.prototype.toggleVirtualKeyboard_=function(t){if(this.virtualKeyboardVisible=!this.virtualKeyboardVisible,this.virtualKeyboardVisible){this.virtualKeyboard?this.virtualKeyboard.classList.add(\"is-visible\"):(this.virtualKeyboard=yi.make(this,t),As(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},Ls.prototype.$applyStyle=function(t){if(this._resetKeystrokeBuffer(),(t=function(t){const e={};return\"string\"==typeof t.mode&&(e.mode=t.mode.toLowerCase()),\"string\"==typeof t.color&&(e.color=t.color),\"string\"==typeof t.backgroundColor&&(e.backgroundColor=t.backgroundColor),\"string\"==typeof t.fontFamily&&(e.fontFamily=t.fontFamily),\"string\"==typeof t.series&&(e.fontSeries=t.series),\"string\"==typeof t.fontSeries&&(e.fontSeries=t.fontSeries.toLowerCase()),e.fontSeries&&(e.fontSeries={bold:\"b\",medium:\"m\",normal:\"mn\"}[e.fontSeries]||e.fontSeries),\"string\"==typeof t.shape&&(e.fontShape=t.shape),\"string\"==typeof t.fontShape&&(e.fontShape=t.fontShape.toLowerCase()),e.fontShape&&(e.fontShape={italic:\"it\",up:\"n\",upright:\"n\",normal:\"n\"}[e.fontShape]||e.fontShape),\"string\"==typeof t.size?e.fontSize=t.size:\"number\"==typeof t.size&&(e.fontSize=\"size\"+Math.min(0,Math.max(10,t.size))),\"string\"==typeof t.fontSize&&(e.fontSize=t.fontSize.toLowerCase()),e.fontSize&&(e.fontSize={tiny:\"size1\",scriptsize:\"size2\",footnotesize:\"size3\",small:\"size4\",normal:\"size5\",normalsize:\"size5\",large:\"size6\",Large:\"size7\",LARGE:\"size8\",huge:\"size9\",Huge:\"size10\"}[e.fontSize]||e.fontSize),e}(t)).mode){if(this.mathlist.isCollapsed())this.switchMode_(t.mode);else{const t=this.mode,e=\"math\"===(this.mathlist.anchorMode()||this.config.default)?\"text\":\"math\";let i=this.$selectedText(\"ASCIIMath\");if(\"math\"===e&&/^\"[^\"]+\"$/.test(i)&&(i=i.slice(1,-1)),this.$insert(i,{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)}delete t.mode}return this.mathlist.isCollapsed()?(this.style.fontSeries&&t.fontSeries===this.style.fontSeries&&(t.fontSeries=\"auto\"),t.fontShape&&t.fontShape===this.style.fontShape&&(t.fontShape=\"auto\"),t.color&&t.color===this.style.color&&(t.color=\"none\"),t.backgroundColor&&t.backgroundColor===this.style.backgroundColor&&(t.backgroundColor=\"none\"),t.fontSize&&t.fontSize===this.style.fontSize&&(t.fontSize=\"auto\"),this.style={...this.style,...t}):(this.mathlist.applyStyle_(t),this.undoManager.snapshot(this.config)),!0},Ls.prototype.$hasFocus=function(){return document.hasFocus()&&document.activeElement===this.textarea},Ls.prototype.$focus=function(){this.$hasFocus()||(this.textarea.focus&&this.textarea.focus(),this._announce(\"line\"))},Ls.prototype.$blur=function(){this.$hasFocus()&&this.textarea.blur&&this.textarea.blur()},Ls.prototype.$select=function(){this.mathlist.selectAll_()},Ls.prototype.$clearSelection=function(){this.mathlist.delete_()},Ls.prototype.$keystroke=function(t,e){return this._onKeystroke(t,e)},Ls.prototype.$typedText=function(t){this._onTypedText(t)},Ls.prototype.typedText_=function(t,e){return this._onTypedText(t,e)},Ls.prototype.$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},void 0!==this.config.scriptDepth&&!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||Es,this.config.macros=Object.assign({},It.MACROS,this.config.macros),this.config.namespace&&!/^[a-z]*[-]?$/.test(this.config.namespace))throw Error(\"options.namespace must be a string of lowercase characters only\");this.config.namespace&&!/-$/.test(this.config.namespace)&&(this.config.namespace+=\"-\"),ri.locale=this.config.locale||ri.locale,ri.merge(this.config.strings),this.config.virtualKeyboardLayout=t.virtualKeyboardLayout||{fr:\"azerty\",be:\"azerty\",al:\"qwertz\",ba:\"qwertz\",cz:\"qwertz\",de:\"qwertz\",hu:\"qwertz\",sk:\"qwertz\",ch:\"qwertz\"}[ri.locale.substring(0,2)]||\"qwerty\",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)},Ls.prototype.speak_=function(t,e){e=e||{withHighlighting:!1};const i=function(t,e){let i=null;switch(e){case\"all\":i=t.mathlist.root;break;case\"selection\":t.mathlist.isCollapsed()||(i=t.mathlist.getSelectedAtoms());break;case\"left\":{const e=t.mathlist.siblings(),s=t.mathlist.startOffset();if(s>=1){i=[];for(let t=1;t<=s;t++)i.push(e[t])}break}case\"right\":{const e=t.mathlist.siblings(),s=t.mathlist.endOffset()+1;if(s<=e.length-1){i=[];for(let t=s;t<=e.length-1;t++)i.push(e[t])}break}case\"start\":case\"end\":break;case\"group\":i=t.mathlist.siblings();break;case\"parent\":{const e=t.mathlist.parent();e&&\"root\"!==e.type&&(i=t.mathlist.parent());break}}return i}(this,t);if(null===i)return this.config.handleSpeak(function(t){let e=\"\";switch(t){case\"all\":break;case\"selection\":e=\"no selection\";break;case\"left\":e=\"at start\";break;case\"right\":e=\"at end\";break;case\"group\":break;case\"parent\":e=\"no parent\"}return e}(t)),!1;const s={...this.config};(e.withHighlighting||\"amazon\"===s.speechEngine)&&(s.textToSpeechMarkup=window.sre&&\"sre\"===s.textToSpeechRules?\"ssml_step\":\"ssml\",e.withHighlighting&&(s.generateID=!0));const a=pe.toSpeakableText(i,s);return e.withHighlighting?(window.mathlive.readAloudMathField=this,this._render({forHighlighting:!0}),this.config.handleReadAloud&&this.config.handleReadAloud(this.field,a,this.config)):this.config.handleSpeak&&this.config.handleSpeak(a,s),!1};var qs={MathField:Ls};function Is(t,e,i){let s=i,a=0;const o=t.length;for(;s<e.length;){const i=e[s];if(a<=0&&e.slice(s,s+o)===t)return s;\"\\\\\"===i?s++:\"{\"===i?a++:\"}\"===i&&a--,s++}return-1}function Ps(t,e,i,s){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=Is(i,n,c+e.length))){h=!0;break}a.push({type:\"math\",data:n.slice(c+e.length,r),rawData:n.slice(c,r+i.length),mathstyle:s}),c=r+i.length}l=!l}c<n.length&&a.push({type:\"text\",data:n.slice(c)})}else a.push(t[o]);return a}function Bs(t,e){let i=[{type:\"text\",data:t}];for(let t=0;t<e.inline.length;t++){const s=e.inline[t];i=Ps(i,s[0],s[1],\"textstyle\")}for(let t=0;t<e.display.length;t++){const s=e.display[t];i=Ps(i,s[0],s[1],\"displaystyle\")}return i}function Os(t,e,i,s){const a=function(t,e,i,s){let a=document.createElement(\"span\");a.setAttribute(\"aria-hidden\",\"true\"),e.preserveOriginalContent&&(a.setAttribute(\"data-\"+e.namespace+\"original-content\",t),i&&a.setAttribute(\"data-\"+e.namespace+\"original-mathstyle\",i));try{a.innerHTML=e.renderToMarkup(t,i||\"displaystyle\",\"html\",e.macros,e.onCreateMathlist)}catch(e){if(!s)return null;a=document.createTextNode(t)}return a}(t,i,e,s);if(a&&/\\b(mathml|speakable-text)\\b/i.test(i.renderAccessibleContent)){const e=document.createDocumentFragment();if(/\\bmathml\\b/i.test(i.renderAccessibleContent)&&i.renderToMathML&&e.appendChild(function(t,e){const i=document.createElement(\"span\");try{i.innerHTML=\"<math xmlns='http://www.w3.org/1998/Math/MathML'>\"+e.renderToMathML(t,e)+\"</math>\"}catch(e){i.textContent=t}return i.className=\"sr-only\",i}(t,i)),/\\bspeakable-text\\b/i.test(i.renderAccessibleContent)&&i.renderToSpeakableText){const s=document.createElement(\"span\");s.innerHTML=i.renderToSpeakableText(t,i),s.className=\"sr-only\",e.appendChild(s)}return e.appendChild(a),e}return a}function Rs(t,e){let i=null;if(e.TeX.processEnvironments&&/^\\s*\\\\begin/.test(t))(i=document.createDocumentFragment()).appendChild(Os(t,void 0,e,!0));else{const s=Bs(t,e.TeX.delimiters);if(1===s.length&&\"text\"===s[0].type)return null;i=document.createDocumentFragment();for(let t=0;t<s.length;t++)\"text\"===s[t].type?i.appendChild(document.createTextNode(s[t].data)):i.appendChild(Os(s[t].data,s[t].mathstyle,e,!0))}return i}const Ks={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 Ns={renderMathInElement:function(t,e){try{if((e=Object.assign({},Ks,e)).ignoreClassPattern=new RegExp(e.ignoreClass),e.processClassPattern=new RegExp(e.processClass),e.processScriptTypePattern=new RegExp(e.processScriptType),e.macros=It.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,i){const s=e.getAttribute(\"data-\"+i.namespace+\"original-content\");if(s){const t=Os(s,e.getAttribute(\"data-\"+i.namespace+\"mathstyle\"),i,!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(i.TeX.processEnvironments&&/^\\s*\\\\begin/.test(t))return e.textContent=\"\",void e.appendChild(Os(t,void 0,i,!0));const s=Bs(t,i.TeX.delimiters);if(1===s.length&&\"math\"===s[0].type)return e.textContent=\"\",void e.appendChild(Os(s[0].data,s[0].mathstyle,i,!0));if(1===s.length&&\"text\"===s[0].type)return}for(let s=0;s<e.childNodes.length;s++){const a=e.childNodes[s];if(3===a.nodeType){const t=Rs(a.textContent,i);t&&(s+=t.childNodes.length-1,e.replaceChild(t,a))}else if(1===a.nodeType){const e=a.nodeName.toLowerCase();if(\"script\"===e&&i.processScriptTypePattern.test(a.type)){let t=\"displaystyle\";for(const e of a.type.split(\";\")){const i=e.split(\"=\");\"mode\"===i[0].toLowerCase()&&(t=\"display\"===i[1].toLoweCase()?\"displaystyle\":\"textstyle\")}const e=Os(a.textContent,t,i,!0);s+=e.childNodes.length-1,a.parentNode.replaceChild(e,a)}else(i.processClassPattern.test(a.className)||!i.skipTags.includes(e)&&!i.ignoreClassPattern.test(a.className))&&t(a,i)}}}}(t,e)}catch(t){Error}}};function $s(t,e){return be.parseTokens(x.tokenize(t),\"math\",null,e)}function Ws(t,e,i,s,a){e=e||\"displaystyle\";const o=$s(t,s);if(a&&a(o),\"mathlist\"===i)return o;let n=pe.decompose({mathstyle:e},o);if(n=Q.coalesce(n),\"span\"===i)return n;const r=Q.makeSpan(n,\"ML__base\"),l=Q.makeSpan(\"\",\"ML__strut\");l.setStyle(\"height\",r.height,\"em\");const c=[l];if(0!==r.depth){const t=Q.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),Q.makeSpan(c,\"ML__mathlive\").toMarkup()}function Hs(t,e){if(!pe.toMathML)return\"\";(e=e||{}).macros=e.macros||{},Object.assign(e.macros,It.MACROS);const i=$s(t,e.macros);return pe.toMathML(i,e)}function Vs(t,e){if(!pe.toSpeakableText)return\"\";(e=e||{}).macros=e.macros||{},Object.assign(e.macros,It.MACROS);const i=be.parseTokens(x.tokenize(t),\"math\",null,e.macros);return pe.toSpeakableText(i,e)}function Us(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 i=new window.AWS.Polly({apiVersion:\"2016-06-10\"}),s={OutputFormat:\"mp3\",VoiceId:e.speechEngineVoice||\"Joanna\",Text:t,TextType:\"ssml\"};i.synthesizeSpeech(s,function(t,e){if(t);else if(e&&e.AudioStream){const t=new Uint8Array(e.AudioStream),i=new Blob([t.buffer],{type:\"audio/mpeg\"}),s=URL.createObjectURL(i);new Audio(s).play().catch(t=>void 0)}})}}else e.speechEngine;else{const e=new SpeechSynthesisUtterance(t);window&&window.speechSynthesis.speak(e)}}function js(t,e,i){if(!window)return;if(!i&&window.mathlive&&(i=window.mathlive.config),\"amazon\"!==(i=i||{}).speechEngine)return void(i.handleSpeak&&i.handleSpeak(e));if(!window.AWS)return;const s=new window.AWS.Polly({apiVersion:\"2016-06-10\"}),a={OutputFormat:\"json\",VoiceId:i.speechEngineVoice||\"Joanna\",Text:e,TextType:\"ssml\",SpeechMarkTypes:[\"ssml\"]};window.mathlive=window.mathlive||{},window.mathlive.readAloudElement=t;const o=i.onReadAloudStatus||window.mathlive.onReadAloudStatus;s.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=[],s.synthesizeSpeech(a,function(t,e){if(t);else if(e&&e.AudioStream){const t=new Uint8Array(e.AudioStream),i=new Blob([t.buffer],{type:\"audio/mpeg\"}),s=URL.createObjectURL(i);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 i of window.mathlive.readAloudMarks)i.time<e&&(t=i.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,i){i&&e.dataset.atomId!==i?(e.classList.remove(\"highlight\"),e.children&&e.children.length>0&&Array.from(e.children).forEach(e=>{t(e,i)})):(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=s,o&&o(window.mathlive.readAloudMathField,\"playing\"),window.mathlive.readAloudAudio.play()}})}})}function Gs(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 Zs(t,e){Ns&&((e=e||{}).renderToMarkup=e.renderToMarkup||Ws,e.renderToMathML=e.renderToMathML||Hs,e.renderToSpeakableText=e.renderToSpeakableText||Vs,e.macros=e.macros||It.MACROS,Ns.renderMathInElement(Gs(t),e))}function Xs(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+=\"-\")}}return{latexToMathlist:$s,latexToMarkup:Ws,latexToMathML:Hs,latexToSpeakableText:Vs,latexToAST:function(t,e){if(!pe.toAST)return{};(e=e||{}).macros=e.macros||{},Object.assign(e.macros,It.MACROS);const i=$s(t,e.macros);return pe.toAST(i,e)},astToLatex:function(t,e){return ks(t,e=e||{})},makeMathField:function(t,e){if(!qs)throw Error(\"The MathField module is not loaded.\");return(e=e||{}).handleSpeak=e.handleSpeak||Us,e.handleReadAloud=e.handleReadAloud||js,new qs.MathField(Gs(t),e)},renderMathInDocument:function(t){Zs(document.body,t)},renderMathInElement:Zs,revertToOriginalContent:function(t,e){(t=(t=Gs(t)).children[1])instanceof qs.MathField?t.revertToOriginalContent():(Xs(e=e||{}),t.innerHTML=t.getAttribute(\"data-\"+(e.namespace||\"\")+\"original-content\"))},getOriginalContent:function(t,e){return(t=(t=Gs(t)).children[1])instanceof qs.MathField?t.originalContent:(Xs(e=e||{}),t.getAttribute(\"data-\"+(e.namespace||\"\")+\"original-content\"))},readAloud:js,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 i=0;if(window.mathlive.readAloudFinalToken=null,t){window.mathlive.readAloudMarks=window.mathlive.readAloudMarks||[];for(const e of window.mathlive.readAloudMarks)e.value===t&&(i=e.time/1e3);let s=window.mathlive.readAloudTokens.indexOf(t);s>=0&&(s+=e)<window.mathlive.readAloudTokens.length&&(window.mathlive.readAloudFinalToken=s)}window.mathlive.readAloudAudio.currentTime=i,window.mathlive.onReadAloudStatus&&window.mathlive.onReadAloudStatus(window.mathlive.readAloudMathField,\"playing\"),window.mathlive.readAloudAudio.play()}},MathAtom:pe}},\"object\"==typeof exports&&\"undefined\"!=typeof module?module.exports=factory():\"function\"==typeof define&&define.amd?define(factory):(global=global||self).MathLive=factory();\n","\"use strict\";\nvar __extends = (this && this.__extends) || (function () {\n    var extendStatics = function (d, b) {\n        extendStatics = Object.setPrototypeOf ||\n            ({ __proto__: [] } instanceof Array && function (d, b) { d.__proto__ = b; }) ||\n            function (d, b) { for (var p in b) if (b.hasOwnProperty(p)) d[p] = b[p]; };\n        return extendStatics(d, b);\n    };\n    return function (d, b) {\n        extendStatics(d, b);\n        function __() { this.constructor = d; }\n        d.prototype = b === null ? Object.create(b) : (__.prototype = b.prototype, new __());\n    };\n})();\nvar __assign = (this && this.__assign) || function () {\n    __assign = Object.assign || function(t) {\n        for (var s, i = 1, n = arguments.length; i < n; i++) {\n            s = arguments[i];\n            for (var p in s) if (Object.prototype.hasOwnProperty.call(s, p))\n                t[p] = s[p];\n        }\n        return t;\n    };\n    return __assign.apply(this, arguments);\n};\nObject.defineProperty(exports, \"__esModule\", { value: true });\nexports.MathFieldComponent = void 0;\nrequire(\"mathlive/dist/mathlive.core.css\");\nrequire(\"mathlive/dist/mathlive.css\");\nvar React = require(\"react\");\nvar mathlive_1 = require(\"mathlive\");\n/** A react-control that hosts a mathlive-mathfield in it. */\nvar MathFieldComponent = /** @class */ (function (_super) {\n    __extends(MathFieldComponent, _super);\n    function MathFieldComponent(props) {\n        var _this = _super.call(this, props) || this;\n        _this.insertElement = null;\n        _this.combinedOptions = __assign({}, props.mathFieldOptions);\n        var onChange = props.onChange, onBlur = props.onBlur, onKeystroke = props.onKeystroke;\n        if (onChange) {\n            if (props.mathFieldOptions && props.mathFieldOptions.onContentDidChange) {\n                var fromOptions_1 = props.mathFieldOptions.onContentDidChange;\n                _this.combinedOptions.onContentDidChange = function (mf) {\n                    onChange(mf.$latex());\n                    fromOptions_1(mf);\n                };\n            }\n            else {\n                _this.combinedOptions.onContentDidChange = function (mf) { return onChange(mf.$latex()); };\n            }\n        }\n        if (onBlur) {\n            if (props.mathFieldOptions && props.mathFieldOptions.onBlur) {\n                var fromOptions_2 = props.mathFieldOptions.onBlur;\n                _this.combinedOptions.onBlur = function (mf) {\n                    onBlur();\n                    fromOptions_2(mf);\n                };\n            }\n            else {\n                _this.combinedOptions.onBlur = onBlur;\n            }\n        }\n        if (onKeystroke) {\n            if (props.mathFieldOptions && props.mathFieldOptions.onKeystroke) {\n                var fromOptions_3 = props.mathFieldOptions.onKeystroke;\n                _this.combinedOptions.onKeystroke = function (mf, ks, ev) {\n                    onKeystroke(ev);\n                    return fromOptions_3(mf, ks, ev);\n                };\n            }\n            else {\n                _this.combinedOptions.onKeystroke = function (mf, ks, ev) {\n                    onKeystroke(ev);\n                    return true;\n                };\n            }\n        }\n        return _this;\n    }\n    MathFieldComponent.prototype.componentWillReceiveProps = function (newProps) {\n        if (!this.mathField) {\n            throw new Error(\"Component was not correctly initialized.\");\n        }\n        if (newProps.latex !== this.props.latex) {\n            this.mathField.$latex(newProps.latex, {\n                suppressChangeNotifications: this.props.suppressChangeNotifications === undefined\n                    ? true\n                    : this.props.suppressChangeNotifications\n            });\n        }\n    };\n    /** The domain of react ends here, so it should not render again. */\n    MathFieldComponent.prototype.shouldComponentUpdate = function () { return false; };\n    MathFieldComponent.prototype.render = function () {\n        var _this = this;\n        return React.createElement(\"div\", { ref: function (instance) { return _this.insertElement = instance; } });\n    };\n    MathFieldComponent.prototype.componentDidMount = function () {\n        if (!this.insertElement) {\n            throw new Error(\"React did apparently not mount the insert point correctly.\");\n        }\n        this.mathField = mathlive_1.makeMathField(this.insertElement, this.combinedOptions);\n        this.mathField.$latex(this.props.latex, {\n            suppressChangeNotifications: this.props.suppressChangeNotifications === undefined\n                ? true\n                : this.props.suppressChangeNotifications\n        });\n        if (this.props.mathFieldRef) {\n            this.props.mathFieldRef(this.mathField);\n        }\n    };\n    return MathFieldComponent;\n}(React.Component));\nexports.MathFieldComponent = MathFieldComponent;\n//# sourceMappingURL=MathFieldComponent.js.map","\"use strict\";\nvar __createBinding = (this && this.__createBinding) || (Object.create ? 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