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a=this.coeffs[n],o=0;o<i;o++){var s=n+o,l=e.coeffs[o],u=r[s]||new g(0);r[s]=u.add(a.multiply(l))}return this.coeffs=r,this},isZero:function(){for(var e=this.coeffs.length,t=0;t<e;t++){var i=this.coeffs[t];if(!i.equals(0))return!1}return!0},sub:function(e){for(var t=new g(0),i=this.coeffs.length,r=0;r<i;r++){var n=this.coeffs[r];n.equals(0)||(t=t.add(n.multiply(new g(Math.pow(e,r)))))}return t},clone:function(){var e=new x;return e.coeffs=this.coeffs,e.variable=this.variable,e},deg:function(){return this.trim(),this.coeffs.length-1},lc:function(){return this.coeffs[this.deg()].clone()},monic:function(){for(var e=this.lc(),t=this.coeffs.length,i=0;i<t;i++)this.coeffs[i]=this.coeffs[i].divide(e);return this},gcd:function(t){var i,r=this.coeffs.length-1,n=t.coeffs.length-1;if(r<n)return t.gcd(this);var a=this;while(!t.isZero()){var o=t.clone();a=a.clone(),i=a.divide(o),t=i[1],a=o}var s=e.Math2.QGCD.apply(null,a.coeffs);if(!s.equals(1))for(var l=a.coeffs.length,u=0;u<l;u++)a.coeffs[u]=a.coeffs[u].divide(s);return a},diff:function(){for(var e=[],t=this.coeffs.length,i=1;i<t;i++)e.push(this.coeffs[i].multiply(new g(i)));return this.coeffs=e,this},integrate:function(){for(var e=[0],t=this.coeffs.length,i=0;i<t;i++){var r=new g(i+1);e[r]=this.coeffs[i].divide(r)}return this.coeffs=e,this},gcf:function(t){for(var i=function(e){for(var t=0;t<e.length;t++)if(!e[t].equals(0))return t},r=[],n=0;n<this.coeffs.length;n++){var a=this.coeffs[n];a.equals(0)||-1!==r.indexOf(a)||r.push(a)}var o=[e.Math2.QGCD.apply(void 0,r),i(this.coeffs)].toDecimal();if(t){var s=[];s[o[1]-1]=o[0],o=x.fromArray(s,this.variable).fill()}return o},quad:function(e){var t=[];if(this.coeffs.length>3)throw new Error("Cannot calculate quadratic order of "+(this.coeffs.length-1));if(0===this.coeffs.length)throw new Error("Polynomial array has no terms");var i=this.coeffs[2]||0,r=this.coeffs[1]||0,n=this.coeffs[0],a=r*r-4*i*n;return a<0&&!e||(t[0]=(-r+Math.sqrt(a))/(2*i),t[1]=(-r-Math.sqrt(a))/(2*i)),t},squareFree:function(){var e=this.clone(),t=1,i=e.clone().diff(),r=e.clone().gcd(i),n=e.divide(r)[0],a=x.fromArray([new g(1)],e.variable);while(!r.equalsNumber(1)){var o=n.gcd(r),s=n.divide(o)[0];if(!s.equalsNumber(1)&&t>1){for(var l=s.clone(),u=1;u<t;u++)l.multiply(s.clone());s=l}a=a.multiply(s),t++,n=o,r=r.divide(o)[0]}return[a,n,t]},toSymbol:function(){var i=this.coeffs.length,r=this.variable;if(0===i)return new e.Symbol(0);for(var n=i-1,a="",o=0;o<i;o++){var s=o===n?"":"+",l=this.coeffs[o];l.equals(0)||(a+=l+"*"+r+"^"+o+s)}return t.parse(a)},equalsNumber:function(e){return this.trim(),1===this.coeffs.length&&this.coeffs[0].toDecimal()===String(e)},toString:function(){return this.toSymbol().toString()}},y.prototype.coeffs=function(e,i){i&&!this.isPoly(!0)&&t.error("Polynomial expected when requesting coefficients with order"),e=e||[];var r=this.clone().distributeMultiplier();if(r.isComposite())for(var n in r.symbols){var a=r.symbols[n];a.isComposite()?a.clone().distributeMultiplier().coeffs(e,i):i?e[a.isConstant()?0:a.power.toDecimal()]=a.multiplier:e.push(a.multiplier)}else if(i)e[r.isConstant(!0)?0:r.power.toDecimal()]=r.multiplier;else if(r.group===c&&r.isImaginary()){var o=new y(r.multiplier);r.each((function(e){(e.isConstant(!0)||e.imaginary)&&(o=t.multiply(o,e))})),e.push(o)}else e.push(r.multiplier);if(i)for(var s=0;s<e.length;s++)void 0===e[s]&&(e[s]=new y(0));return e},y.prototype.tBase=function(e){if("undefined"===typeof e)throw new Error("Symbol.tBase requires a map object!");for(var t=[],i=this.collectSymbols(null,null,null,!0),r=i.length,n=0;n<r;n++){var a=i[n],o=a.group,s=new k(a.multiplier,[],e);if(o===c)for(var l in a.symbols){var u=a.symbols[l];s.terms[e[l]]=u.power}else s.terms[e[a.value]]=a.power;t.push(s.fill()),s.updateCount()}return t},y.prototype.altVar=function(e){var t=this.multiplier.toString(),i=this.power.toString();return("1"===t?"":t+"*")+e+("1"===i?"":"^"+i)},y.prototype.sameVars=function(e){if(!this.symbols&&this.group!==e.group)return!1;for(var t in this.symbols){var i=this.symbols[t],r=e.symbols[t];if(!r)return!1;if(i.value!==r.value)return!1}return!0},y.prototype.groupTerms=function(i){var r,n,a;i=String(i);var o=[];return this.each((function(s){if(s.group===l){a=s.groupTerms(i);for(var u=0;u<a.length;u++){var c=a[u];c&&(o[u]=c)}}else r=e.Utils.decompose_fn(s,i,!0),n=r.x.value===i?Number(r.x.power):0,o[n]=t.add(o[n]||new y(0),r.a)})),o},y.prototype.collectFactors=function(){var e=[];return this.group===c?this.each((function(t){e.push(t.clone())})):e.push(this.clone()),e},A.prototype.getNumberSymbolics=function(){var e=0;return this.each((function(t){t.isConstant(!0)||e++})),e},A.prototype.add=function(i){if(i.equals(0))return this;if(i.equals(-1)&&this.length>0){var r=e.Utils.firstObject(this.factors,null,!0);return this.add(t.symfunction(e.Settings.PARENTHESIS,[r.obj]).negate()),delete this.factors[r.key],this.length--,this}if(i.group===c){var n=this;i.multiplier.equals(1)||n.add(new y(i.multiplier)),i.each((function(e){n.add(e)}))}else{this.preAdd&&(i=this.preAdd(i)),this.pFactor&&(i=t.pow(i,new y(this.pFactor)));var a=i.isConstant();if(a&&i.equals(1))return this;var o=a?i.value:i.text();o in this.factors?(this.factors[o]=t.multiply(this.factors[o],i),this.factors[o].equals(1)&&(delete this.factors[o],this.length--)):(this.factors[o]=i,this.length++)}return this},A.prototype.toSymbol=function(){for(var i=new y(1),r=Object.values(this.factors).sort((function(e,t){return e.group>t.group})),n=0,a=r.length;n<a;n++){var o=r[n],s=o.power.equals(1)&&""!==o.fname?t.symfunction(e.PARENTHESIS,[o]):o;i=t.multiply(i,s)}return""===i.fname&&(i=y.unwrapPARENS(i)),i},A.prototype.merge=function(e){for(var i in e)i in this.factors?this.factors[i]=t.multiply(this.factors[i],e[i]):this.factors[i]=e[i];return this},A.prototype.each=function(t){for(var i in this.factors){var r=this.factors[i];r.fname===e.PARENTHESIS&&r.isLinear()&&(r=r.args[0]),t.call(this,r,i)}return this},A.prototype.count=function(){return h(this.factors).length},A.prototype.clean=function(){try{var t=e.Settings.CONST_HASH;this.factors[t].lessThan(0)&&(this.factors[t].equals(-1)?delete this.factors[t]:this.factors[t].negate(),this.each((function(e){e.negate()})))}catch(i){}},A.prototype.toString=function(){return this.toSymbol().toString()},k.prototype.updateCount=function(){this.count=this.count||0;for(var e=0;e<this.terms.length;e++)this.terms[e].equals(0)||this.count++;return this},k.prototype.getVars=function(){for(var e=[],t=0;t<this.terms.length;t++){var i=this.terms[t];this.getRevMap();i.equals(0)||e.push(this.rev_map[t])}return e.join(" ")},k.prototype.len=function(){return"undefined"===typeof this.count&&this.updateCount(),this.count},k.prototype.toSymbol=function(e){e=e||this.getRevMap();for(var i=new y(this.coeff),r=0;r<this.terms.length;r++){var n=e[r],a=this.terms[r];if(!a.equals(0)&&n!==b){var o=new y(n);o.power=a,i=t.multiply(i,o)}}return i},k.prototype.getRevMap=function(){if(this.rev_map)return this.rev_map;var e={};for(var t in this.map)e[this.map[t]]=t;return this.rev_map=e,e},k.prototype.generateImage=function(){return this.image=this.terms.join(" "),this},k.prototype.getImg=function(){return this.image||this.generateImage(),this.image},k.prototype.fill=function(){for(var t=this.map.length,i=0;i<t;i++)"undefined"===typeof this.terms[i]?this.terms[i]=new e.Frac(0):this.sum=this.sum.add(this.terms[i]);return this},k.prototype.divide=function(e){for(var t=this.coeff.divide(e.coeff),i=this.terms.length,r=new k(t,[],this.map),n=0;n<i;n++)r.terms[n]=this.terms[n].subtract(e.terms[n]),r.sum=r.sum.add(r.terms[n]);return r},k.prototype.multiply=function(e){for(var t=this.coeff.multiply(e.coeff),i=this.terms.length,r=new k(t,[],this.map),n=0;n<i;n++)r.terms[n]=this.terms[n].add(e.terms[n]),r.sum=r.sum.add(r.terms[n]);return r},k.prototype.isZero=function(){return this.coeff.equals(0)},k.prototype.toString=function(){return"{ coeff: "+this.coeff.toString()+", terms: ["+this.terms.join(",")+"]: sum: "+this.sum.toString()+", count: "+this.count+"}"},e.Utils.toMapObj=function(e){for(var t=0,i={},r=0;r<e.length;r++){var n=e[r];"undefined"===typeof i[n]&&(i[n]=t,t++)}return i.length=t,i},e.Utils.filledArray=function(e,t,i){var r=[];while(t--)r[t]=i?new i(e):e;return r},e.Utils.arrSum=function(e){for(var t=0,i=e.length,r=0;r<i;r++)t+=e[r];return t},e.Utils.haveIntersection=function(e,t){var i;return t.length>e.length&&(i=t,t=e,e=i),e.some((function(e){return t.indexOf(e)>-1}))},e.Utils.subFunctions=function(t,i){i=i||{};var r=[];return t.each((function(t){if(t.group===s||t.previousGroup===s){var n=e.Utils.text(t,"hash"),a=i[n];if(a)r.push(t.altVar(a));else{var o=t.fname+h(i).length;i[n]=o,r.push(t.altVar(o))}}else t.group===c||t.group===l||t.group===u?r.push(e.Utils.subFunctions(t,i)):r.push(t.text())})),t.group===u||t.group===l?t.altVar(e.Utils.inBrackets(r.join("+"))):t.group===c?t.altVar(e.Utils.inBrackets(r.join("*"))):t.text()},e.Utils.getFunctionsSubs=function(e){var i={};for(var r in e)i[e[r]]=t.parse(r);return i};var S=e.Algebra={version:"1.4.6",proots:function(i,r){r=r||7;var n=0,o=[],s=function(e,t,i){for(var r=E(e,t,i).concat(o),a=0;a<n;a++)r.unshift(0);return r};if(i instanceof y&&i.isPoly()){if(i.distributeMultiplier(),i.group===l){var u=e.Utils.arrayMin(h(i.symbols)),c=i.symbols[u].clone().toUnitMultiplier();i=t.expand(t.divide(i,c)),o.push(0)}if(i.group===e.groups.S)return[0];if(i.group===e.groups.PL){var d=h(i.symbols),p=e.Utils.arrayMin(d);i=e.PARSER.divide(i,e.PARSER.parse(i.value+"^"+p))}for(var m=h(i.symbols).sort().pop(),g=i.group===e.groups.PL?i.symbols:i.symbols[m],v=g.group,w=(d=v===a?[g.power.toDecimal()]:h(g.symbols),[]),x=e.Utils.arrayMax(d),A=1;A<=x;A++){var k=0;-1!==d.indexOf(A+"")&&(k=v===a?g.multiplier:g.symbols[A].multiplier),w.unshift(k)}return w.push(i.symbols[b].multiplier),g.group===a&&(w[0]=g.multiplier),s(w,d,x)}if(e.Utils.isArray(i)){var S=i,M=(w=[],d=[],0);for(A=0;A<S.length;A++){for(var N=S[A][0],z=S[A][1],L=z-M-1,C=0;C<L;C++)w.unshift(0);w.unshift(N),0!==z&&d.push(z),M=z}x=Math.max.apply(void 0,d);return s(w,d,x)}throw new e.exceptions.NerdamerTypeError("Cannot calculate roots. Symbol must be a polynomial!");function E(t,i,n){var a=100,o=t.slice(0);if(t.unshift(n),n>a)throw new e.exceptions.ValueLimitExceededError("This utility accepts polynomials of degree up to "+a+". ");var s=[],l={};for(l.Degree=n,A=0;A<n;A++)s.push(0);var u=s.slice(0);function c(e,t,i,r,n,a){n[0]=a.b=r[0],n[1]=a.a=-t*a.b+r[1];for(var o=2;o<e;o++)n[o]=-(t*a.a+i*a.b)+r[o],a.b=a.a,a.a=n[o]}function h(e,t,i,r,n,a,o,s,l){var u=new Object,h=3;return u.b=u.a=0,c(t,o,s,a,l,u),n.c=u.a,n.d=u.b,Math.abs(n.c)<=100*e*Math.abs(a[t-1])&&Math.abs(n.d)<=100*e*Math.abs(a[t-2])||(n.h=s*r,Math.abs(n.d)>=Math.abs(n.c)?(h=2,n.e=i/n.d,n.f=n.c/n.d,n.g=o*r,n.a3=n.e*(n.g+i)+n.h*(r/n.d),n.a1=-i+n.f*r,n.a7=n.h+(n.f+o)*i):(h=1,n.e=i/n.c,n.f=n.d/n.c,n.g=n.e*o,n.a3=n.e*i+(n.g+n.h/n.c)*r,n.a1=-i*(n.d/n.c)+r,n.a7=n.g*n.d+n.h*n.f+i)),h}function d(e,t,i,r,n,a,o,s,l){var u;if(3!=i)if(u=1==i?n:r,Math.abs(a.a1)>10*e*Math.abs(u)){a.a7/=a.a1,a.a3/=a.a1,o[0]=l[0],o[1]=-l[0]*a.a7+l[1];for(c=2;c<t;c++)o[c]=-l[c-1]*a.a7+s[c-2]*a.a3+l[c]}else{o[0]=0,o[1]=-l[0]*a.a7;for(c=2;c<t;c++)o[c]=-l[c-1]*a.a7+s[c-2]*a.a3}else{o[1]=o[0]=0;for(var c=2;c<t;c++)o[c]=s[c-2]}}function p(e,t,i,r,n,a,o,s,l,u,c,h,d,p,m,f,g){var v,y,b,w,x,A,k,S,M;t.b=t.a=0,3!=e&&(2!=e?(v=i+d*o+h*u,y=s+(d+p*u)*l):(v=(i+c)*u+h,y=(u+d)*s+p*l),b=-m[f-1]/g[f],w=-(m[f-2]+b*g[f-1])/g[f],x=p*w*r,A=b*a,k=b*b*n,S=-(A+k)+x,M=-S+y+b*v,0!=M&&(t.a=-(d*(k+A)+p*(b*r+w*a))/M+d,t.b=p*(1+S/M)))}function m(e,t,i,r){var n,a,o;r.sr=r.si=r.lr=r.li=0,0!=e?0!=i?(n=t/2,Math.abs(n)<Math.abs(i)?(o=i>=0?e:-e,o=-o+n*(n/Math.abs(i)),a=Math.sqrt(Math.abs(o))*Math.sqrt(Math.abs(i))):(o=-e/n*(i/n)+1,a=Math.sqrt(Math.abs(o))*Math.abs(n)),o>=0?(a=n>=0?-a:a,r.lr=(-n+a)/e,r.sr=0!=r.lr?i/r.lr/e:r.sr):(r.lr=r.sr=-n/e,r.si=Math.abs(a/e),r.li=-r.si)):r.lr=-t/e:r.sr=0!=t?-i/t:r.sr}function g(e,t,i,r,n,a,o,s,l,u,f,g){var v,y,b,w,x,A,k,S,M,N,z,L,C=new Object,E=0,_=0;i.NZ=0,A=r,S=n;do{if(C.li=C.lr=C.si=C.sr=0,m(1,A,S,C),i.szr=C.sr,i.szi=C.si,i.lzr=C.lr,i.lzi=C.li,Math.abs(Math.abs(i.szr)-Math.abs(i.lzr))>.01*Math.abs(i.lzr))break;for(c(o,A,S,l,a,s),y=Math.abs(-i.szr*s.b+s.a)+Math.abs(i.szi*s.b),N=Math.sqrt(Math.abs(S)),v=2*Math.abs(a[0]),x=-i.szr*s.b,z=1;z<t;z++)v=v*N+Math.abs(a[z]);if(v=v*N+Math.abs(x+s.a),v=(9*v+2*Math.abs(x)-7*(Math.abs(s.a+x)+N*Math.abs(s.b)))*e,y<=20*v){i.NZ=2;break}if(E++,E>20)break;if(E>=2&&w<=.01&&y>=b&&!_){for(w=w<e?Math.sqrt(e):Math.sqrt(w),A-=A*w,S+=S*w,c(o,A,S,l,a,s),z=0;z<5;z++)L=h(e,t,s.a,s.b,f,g,A,S,u),d(e,t,L,s.a,s.b,f,g,u,a);_=1,E=0}b=y,L=h(e,t,s.a,s.b,f,g,A,S,u),d(e,t,L,s.a,s.b,f,g,u,a),L=h(e,t,s.a,s.b,f,g,A,S,u),p(L,s,s.a,f.a1,f.a3,f.a7,s.b,f.c,f.d,f.f,f.g,f.h,A,S,g,t,l),k=s.a,M=s.b,0!=M&&(w=Math.abs((-S+M)/M),A=k,S=M)}while(0!=M)}function v(e,t,i,r,n,a,o,s,l){var u,c,h,d,p,m,f,g,v,y,b,w=r-1;for(t.NZ=b=v=0,f=i.a;;){for(m=n[0],o[0]=m,y=1;y<a;y++)o[y]=m=m*f+n[y];for(h=Math.abs(m),d=Math.abs(f),u=.5*Math.abs(o[0]),y=1;y<a;y++)u=u*d+Math.abs(o[y]);if(h<=20*e*(2*u-h)){t.NZ=1,t.szr=f,t.szi=0;break}if(b++,b>10)break;if(b>=2&&Math.abs(g)<=.001*Math.abs(-g+f)&&h>p){v=1,t.a=f;break}for(p=h,l[0]=c=s[0],y=1;y<r;y++)l[y]=c=c*f+s[y];if(Math.abs(c)>10*Math.abs(s[w])*e)for(g=-m/c,s[0]=o[0],y=1;y<r;y++)s[y]=g*l[y-1]+o[y];else for(s[0]=0,y=1;y<r;y++)s[y]=l[y-1];for(c=s[0],y=1;y<r;y++)c=c*f+s[y];g=Math.abs(c)>10*Math.abs(s[w])*e?-m/c:0,f+=g}return v}function y(e,t,i,r,n,a,o,s,l,u,m,f){var y,b,w,x,A,k,S,M,N,z,L,C,E,_,T,B,I,q,D,O,R,F,P,V,U,K=new Object,H=new Object,G=new Array(t),j=new Array(t),Q=1;for(f.NZ=0,x=w=.25,A=r,M=n,K.b=K.a=0,c(l,m,n,s,u,K),y=K.a,b=K.b,H.h=H.g=H.f=H.e=H.d=H.c=H.a7=H.a3=H.a1=0,P=h(e,o,y,b,H,a,m,n,G),O=0;O<i;O++){if(q=1,d(e,o,P,y,b,H,a,G,u),P=h(e,o,y,b,H,a,m,n,G),p(P,K,y,H.a1,H.a3,H.a7,b,H.c,H.d,H.f,H.g,H.h,m,n,a,o,s),T=K.a,I=B=K.b,z=0!=a[o-1]?-s[o]/a[o-1]:0,L=E=1,0!=O&&3!=P&&(E=0!=I?Math.abs((I-M)/I):E,L=0!=z?Math.abs((z-A)/z):L,_=E<S?E*S:1,C=L<k?L*k:1,V=_<x?1:0,R=C<w?1:0,R||V)){for(D=0;D<o;D++)j[D]=a[D];for(N=z,F=U=0;;){if(q&&0==(q=0)&&R&&(!V||C<_));else{if(g(e,o,f,T,B,u,l,K,s,G,H,a),y=K.a,b=K.b,f.NZ>0)return;if(Q=U=1,x*=.25,F||!R)Q=0;else for(D=0;D<o;D++)a[D]=j[D]}if(0!=Q){if(K.a=N,Q=v(e,f,K,o,s,l,u,a,G),N=K.a,f.NZ>0)return;if(F=1,w*=.25,0!=Q){T=-(N+N),B=N*N;continue}}for(D=0;D<o;D++)a[D]=j[D];if(!V||U)break}c(l,m,n,s,u,K),y=K.a,b=K.b,P=h(e,o,y,b,H,a,m,n,G)}M=I,A=z,S=E,k=L}}function b(e,t,i,r){var n,a,o,s,l,u,c,h,d,p,f,g,v,b,w,x,A,k,S,M,N,z,L,C,E=e.Degree,_=.017453292519943295,T=Math.LN2,B=e.Degree+1,I=new Array(B),q=new Array(B),D=new 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G=0;G<L;G++)q[G]=Math.abs(t[G]);q[E]=-q[E],z=E-1,p=Math.exp((Math.log(-q[E])-Math.log(q[0]))/E),0!=q[z]&&(f=-q[E]/q[z],p=f<p?f:p),f=p;do{p=f,f=.1*p,u=q[0];for(G=1;G<L;G++)u=u*f+q[G]}while(u>0);s=p;do{o=u=q[0];for(G=1;G<E;G++)u=p*u+q[G],o=p*o+u;u=p*u+q[E],s=u/o,p-=s}while(Math.abs(s/p)>.005);n=p;for(G=1;G<E;G++)I[G]=(E-G)*t[G]/E;for(I[0]=t[0],g=t[E],v=t[z],C=0==I[z]?1:0,M=0;M<5;M++)if(b=I[z],C){for(G=0;G<z;G++)S=z-G,I[S]=I[S-1];I[0]=0,C=0==I[z]?1:0}else{x=-g/b;for(G=0;G<z;G++)S=z-G,I[S]=x*I[S-1]+t[S];I[0]=t[0],C=Math.abs(I[z])<=Math.abs(v)*a*10?1:0}for(G=0;G<E;G++)O[G]=I[G];for(M=1;M<=20;M++){if(k=-U*H+V*K,H=U*K+V*H,K=k,w=n*K,A=-2*w,y(a,B,20*M,w,n,I,E,t,L,D,A,F),0!=F.NZ){S=e.Degree-E,i[S]=F.szr,r[S]=F.szi,L-=F.NZ,E=L-1;for(G=0;G<L;G++)t[G]=D[G];1!=F.NZ&&(i[S+1]=F.lzr,r[S+1]=F.lzi);break}for(G=0;G<E;G++)I[G]=O[G]}if(M>20){e.Degree-=E;break}}}b(l,o,u,s);var w=s.length;for(A=0;A<w;A++){var x=f(s[A],r+8),k=f(u[A],r+8);k=r-String(k).length>2?k:u[A];var 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n=p(e);if(1!==n.length||n[0]!==i||e.isImaginary())if(i||t.error("Polynomial contains more than one variable. 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l=t.parse(a.getNth(3)),u=t.parse(s.getNth(3)),c=t.multiply(t.expand(t.pow(a.clone().toUnitMultiplier(),t.parse("1/3"))),l),h=t.multiply(t.expand(t.pow(s.clone().toUnitMultiplier(),t.parse("1/3"))),u);1===n&&-1===o?(i.add(t.parse(m("(({0})-({1}))",c,h))),i.add(t.parse(m("(({0})^2+({0})*({1})+({1})^2)",c,h))),e=y(1)):1===n&&1===o&&(i.add(t.parse(m("(({0})+({1}))",c,h))),i.add(t.parse(m("(({0})^2-({0})*({1})+({1})^2)",c,h))),e=y(1))}}}return e},_factor:function(i,r){i.group;if(i.group===s){var n=i.args[0];if(n.group===a&&n.isSimple())return i}else if(i.group===a&&i.isSimple())return i;if(i.group===u){i.distributeMultiplier(!0);var o=new y(0);i.each((function(e){(e.group===u&&e.power.greaterThan(1)||e.group===c)&&(e=t.expand(e)),o=t.add(o,e)})),o.power=i.power,i=o}i.group===s&&"sqrt"!==i.fname&&(i=e.Utils.evaluate(i));var l=i.clone();try{if(i.group===c){var 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n=t.parse(r[0].power),a=r[0].clone().toLinear(),o=r[1].clone().toLinear();i.add(t.add(a.clone(),o.clone())),o.negate();for(var s=Number(n),l=new y(0),c=1;c<=s;c++){var h=t.pow(a.clone(),t.subtract(n.clone(),new y(c))),d=t.pow(o.clone(),t.subtract(new y(c),new y(1)));l=t.add(l,t.multiply(h,d))}return l}}return e},squareFree:function(e,t,i){if(e.isConstant()||e.group===a)return e;var r=new x(e,i),n=r.squareFree(),o=n[2];if(1!==o){var s=n[1].toSymbol();s.power=s.power.multiply(new g(o)),t.add(S.Factor.factor(s));var l=S.Factor.squareFree(n[0].toSymbol(),t);return l}return e},powerFactor:function(i,r){if(i.group!==l||i.previousGroup===o)return i;var n=h(i.symbols);if(!e.Utils.allNumeric(n))return i;var a=e.Utils.arrayMin(n),s=new y(0),u=t.parse(i.value+"^"+a);return i.each((function(e){e=t.divide(e,u.clone()),s=t.add(s,e)})),r.add(u),s},coeffFactor:function(t,i){if(t.isComposite()){var r=e.Math2.QGCD.apply(null,t.coeffs());if(r.equals(1)){var n=function(e){var t;return 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l=!0;if(o.isConstant()&&t.isComposite()&&t.each((function(e){e.multiplier%o!==0&&(l=!1)}),!0),l){var u=S.div(t,o.clone()),c=u[1].equals(0);if(t.equals(u[0])&&u[1].equals(0))break;if(u[0].isConstant()){i.add(u[0]);break}}else c=!1;c&&(i.add(u[0]),t=o)}else i.add(t),t=new y(1)}while(c);return t},sqdiff:function(i,r){if(i.isConstant("all"))return i;try{var n=function(t){return e.Utils.block("POSITIVE_MULTIPLIERS",(function(){return y.unwrapPARENS(w.sqrt(w.abs(t)))}),!0)},o=e.Utils.separate(i.clone()),s=[];for(var l in o)"constants"!==l&&s.push(o[l]);if(s.sort((function(e,t){return t.power-e.power})),2===s.length){var u,c;if(u=s.pop(),c=s.pop(),d(u.power)&&d(c.power)&&u.sign()===c.sign()&&u.group===a&&c.group===a)throw new Error("Unable to factor");if(u.isComposite()&&c.power.equals(2)){c=n(c);var h=S.Factor.factor(t.add(u,o.constants));h.power.equals(2)&&(h.toLinear(),r.add(t.subtract(h.clone(),c.clone())),r.add(t.add(h,c)),i=new y(1))}else 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k=t.parse(x+"^"+c[x]),M=t.divide(u[x],k),N=t.expand(M);if(N.equals(1))break;var z=S.div(i.clone(),N);if(z[0].equals(0))break;if(z[1].equals(0)){var L=!1;if(z[0].each((function(e){v(e.multiplier)||(L=!0)})),L){z[1]=t.expand(t.multiply(z[1],N));break}}var C=v(N)&&N.lessThan(0);if(z[1].equals(0)&&!C){var E=S.div(i.clone(),z[0].clone());k=E[0];if(k.equals(0))return i;if(i=E[1],k.equals(-1)&&!i.equals(0))return i;var _=z[0];if(i.equals(_)){var T=S.Factor.reduce(_,r);return i.equals(T)?T:S.Factor.mfactor(T,r)}return r.add(_),i.equals(0)?k:k.isConstant("all")?(r.add(k),k):S.Factor.mfactor(k,r)}}}return i=S.Factor.sqdiff(i,r),i=S.Factor.zeroes(i,r),i}},allLinear:function(e){for(var t=e.length,i=0;i<t;i++)if(!S.isLinear(e[i]))return!1;return!0},isLinear:function(e){var t=!1,r=e.group;if(r===l||r===u)for(var n in t=!0,e.symbols){var h=e.symbols[n],d=h.group;if(d!==s&&d!==o||(t=!1),d===c)t=1===p(h).length;else if(d===l||d===u)t=S.isLinear(h);else if(h.group!==i&&"1"!==h.power.toString()){t=!1;break}}else r===a&&1===e.power&&(t=!0);return t},gcd:function(){var i;if(i=1===arguments.length&&arguments[0]instanceof e.Vector?arguments[0].elements:e.Utils.arguments2Array(arguments),0===i.length)return new y(1);if(1===i.length)return i[0];for(var r=[],n=!1,a=0;a<i.length;a++)if(i[a].group===s&&"gcd"===i[a].fname)i=i.concat(arguments[a].args),i.splice(a,1);else{var o=p(i[a]);if(e.Utils.haveIntersection(o,r)){n=!0;break}r=r.concat(o)}if(n||0===r.length){if(i.every((function(e){return e.getDenom().equals(1)}))){var l=i[0];for(a=1;a<i.length;a++)l=S.gcd_(i[a],l);return l}return t.divide(S.gcd.apply(null,i.map((function(e){return e.getNum()}))),S.lcm.apply(null,i.map((function(e){return e.getDenom()}))))}return t.symfunction("gcd",i)},gcd_:function(i,r){if(i.group!==s&&i.group!==n||(i=e.Utils.block("PARSE2NUMBER",(function(){return t.parse(i)}))),r.group===s&&(r=e.Utils.block("PARSE2NUMBER",(function(){return 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t.multiply(e,i.clone())}),new y(1))}));r=i.every((function(t){return e.Utils.isVariableSymbol(t)}))?t.symfunction("gcd",e.Utils.arrayUnique(a)):S.gcd.apply(null,a);var o=t.divide(n,r);return o},divide:function(i,r){var n,a,o,s;return o=e.Algebra.Factor.factor(i.clone()),s=o.getDenom(),s.isConstant("all")?s=new y(1):i=t.expand(y.unwrapPARENS(t.multiply(o,s.clone()))),n=S.div(i,r),a=t.divide(n[1],r),t.divide(t.add(n[0],a),s)},div:function(i,r){var n=[new y(0),i.clone()];try{if(r.isConstant("all"))return i.each((function(e){e.multiplier=e.multiplier.divide(r.multiplier)})),[i,new y(0)];if(i=t.expand(i),r=t.expand(r),i.group===a&&r.group===u){var o=i.value,s=e.Utils.decompose_fn(r.clone(),o,!0);if(i.isLinear()&&s.x&&s.x.isLinear()&&r.isLinear()){var l=y.create(i.multiplier);return[t.divide(l.clone(),s.a.clone()),t.divide(t.multiply(l,s.b),s.a).negate()]}}if(i.group===a&&r.group===a){var c=t.divide(i.clone(),r.clone());return c.isConstant()?[c,new y(0)]:[new y(0),i.clone()]}var h=i.hasFunc(),d=r.hasFunc(),m=!1;if(h||d){m=!0;var f={},v=(i=t.parse(e.Utils.subFunctions(i,f)),r=t.parse(e.Utils.subFunctions(r,f)),e.Utils.getFunctionsSubs(f))}var w,A,S=e.Utils.arrayUnique(p(i).concat(p(r)));if((i.isImaginary()||r.isImaginary())&&S.push(e.Settings.IMAGINARY),1===S.length){var M=new x(i).divide(new x(r));w=M[0].toSymbol(),A=M[1].toSymbol()}else{S.push(b);var N=function(e){for(var i=new y(0),r=0;r<e.length;r++){var n=e[r].toSymbol();i=t.add(i,n)}return i},z=function(e,t){var i,r=Math.max.apply(null,e.terms),n=0;if(!t)for(var a=0;a<e.terms.length;a++)if(e.terms[a].equals(r)&&(i=a,n++),n>1)return;if(t)for(a=0;a<e.terms.length;a++)if(e.terms[a].equals(r)){i=a;break}return[r,i,e]},L=function(e,t){t=t||0;var i=e[t],r=e.length;if(i){for(var n,a,o=z(i),s=t+1;s<r;s++){var l=e[s],u=i.sum.equals(l.sum);if(!u&&o)break;if(u){for(var c,h,d,p,m=i.terms.length,f=0;f<m;f++){var g=i.terms[f],v=l.terms[f];("undefined"===typeof c||g.greaterThan(c))&&(c=g,d=f),("undefined"===typeof 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r>i&&n.greaterThan(a)?r-i:n.subtract(a)};O=F(T,B,O),T.sort(P),B.sort(P);var V=B[0],U=T[0],K=new k(new g(1),[],U.map);if(V.sum.greaterThan(U.sum)&&U.len()>1)for(var H=0;H<U.terms.length;H++){var G=V.terms[H].subtract(U.terms[H]);if(G.equals(0))K.terms[H]=new g(0);else{var j=G.add(new g(1));K.terms[H]=G;for(var Q=0;Q<T.length;Q++)T[Q].terms[H]=T[Q].terms[H].add(j)}}var W=_(T[0],B[0]),Z=0,Y=200;while(W&&R(T,B)){if(Z++>Y)throw new e.exceptions.InfiniteLoopError("Unable to compute!");M=T[0].divide(B[0]);D.push(M),T.shift();for(H=1;H<B.length;H++){var X=B[H].multiply(M).generateImage(),J=T.length;0===J&&(X.coeff=X.coeff.neg(),T.push(X),T.sort(P));for(Q=0;Q<J;Q++){var 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t.multiply(e,p.clone())})),[r,l,d]},partfrac:function(i,r,n){var a=p(i);r=r||t.parse(a[0]);try{var o,s,l,u,c,h,d,m,f,g,v,b,w,x,A,k,M,N,z;if(o=t.expand(i.getNum()),s=t.expand(i.getDenom().toUnitMultiplier()),o.multiplier=i.multiplier,c=o.groupTerms(r),Number(S.degree(o,r))>=Number(S.degree(s,r))?(b=S.div(o.clone(),t.expand(s.clone())),w=b[0],o=b[1],c=o.groupTerms(r)):w=new y(0),1===Number(S.degree(s,r))){var L=t.divide(o,s);return n?[w,L]:t.add(w,L)}u=S.Factor.factor(s),k=S.PartFrac.createTemplate(s.clone(),u,[],r),M=k[0],x=k[1],h=k[2],v=[c.length],d=[],l=[],A=[],x.map((function(e,i){N=M[i],z=h[i];for(var n=0;n<z;n++){l.push(N.clone());var a=y.create(r,n),o=t.expand(t.multiply(e,a.clone())).groupTerms(r),s=o.length;v.push(s),d.push(o),A.push(a.clone())}})),m=e.Utils.arrayMax(v),g=new e.Matrix(e.Utils.fillHoles(c,m)).transpose(),f=new e.Matrix;for(var C=0;C<d.length;C++)f.elements.push(e.Utils.fillHoles(d[C],m));var E=t.multiply(f.transpose().invert(),g),_=n?[w]:w;return E.each((function(e,i){var r=t.multiply(A[i],t.divide(e,l[i]));n?_.push(r):_=t.add(_,r)})),_}catch(q){try{if(i.isComposite()){var T={};i.each((function(e){var i=e.getDenom(),r=e.getNum(),n=T[i];T[i]=n?t.add(n,r):r}));var B=new y(0);for(var I in T)B=t.add(B,t.divide(T[I],t.parse(I)));i=B}}catch(D){}}return i}},degree:function(i,r,n){if(n=n||{nd:[],sd:[],depth:0},!r){var s=p(i);if(s.length>1)throw new Error("You must specify the variable for multivariate polynomials!");if(0===s.length)return new y(0);r=t.parse(s[0])}var l=i.group;i.isComposite()?(i=i.clone(),i.distributeExponent(),i.each((function(e){n.depth++,S.degree(e,r,n),n.depth--}))):i.group===c?i.each((function(e){n.depth++,S.degree(e,r,n),n.depth++})):l===o&&i.value===r.value?n.sd.push(i.power.clone()):l===a&&i.value===r.value?n.nd.push(t.parse(i.power)):n.nd.push(new y(0));var u=n.nd.length>0?e.Utils.arrayMax(n.nd):void 0;return 0===n.depth&&n.sd.length>0?(void 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i=e.getDenom(),r=e.getNum().distributeMultiplier(),n=S.Simplify.fracSimp(i),a=S.Simplify.fracSimp(r);e=t.divide(a,n)}return e},sqrtSimp:function(e,r){if(e.isSQRT()){var n,a=S.Factor.factor(e.args[0].clone()),o=t.parse(a.multiplier),s=o.sign(),l=t.sqrt(o.abs());if(v(l)){if(a.group===c){var u=new y(1);a.each((function(e){if(e.group===i){var r=t.sqrt(e.clone());v(r)?l=t.multiply(l,r):u=t.multiply(u,e)}else u=t.multiply(u,e)}));var h=t.multiply(u,t.parse(s));n=t.sqrt(h.clone()),n.isImaginary&&(n=t.sqrt(t.expand(h.clone())))}else n=t.sqrt(a.clone().toUnitMultiplier());return t.multiply(l,n)}}else e.isComposite()&&e.isLinear()?(l=new y(0),e.each((function(e){l=t.add(l,S.Simplify.sqrtSimp(e))}),!0),l=t.multiply(l,t.parse(e.multiplier))):e.group===c&&(l=t.parse(e.multiplier),e.each((function(e){var i=S.Simplify.sqrtSimp(e);l=t.multiply(l,i)}),!0),l=t.pow(l,t.parse(e.power)));return l||t.parse(e)},patternSub:function(t){var i={},r=function(e){var t=!1;return e.each((function(e){e.group===u?t=!0:e.symbols&&(t=r(e))})),t},n=function(a){a.each((function(a){if(a.symbols||a.group===s)if(r(a))n(a);else if(!i[a.value]){var o=e.Utils.getU(t);i[a.value]=o,t=t.sub(a.value,o)}}),!0)};return n(t),[t,i]},simplify:function(i){var r=S.Simplify.strip(i);if(i=r.pop(),i=S.Simplify.fracSimp(i),i.isConstant()||i.group===e.groups.S){r.push(i);var n=S.Simplify.unstrip(r,i);return n}var a=i.clone();if(a=S.Simplify.trigSimp(a),a=S.Simplify.ratSimp(a),a=S.Factor.factor(a),a.group===e.groups.CP&&a.isLinear()){var o=a.multiplier.clone();a.toUnitMultiplier();var s=new y(0);a.each((function(e){var i=S.Simplify.simplify(e);s=t.add(s,i)})),a=s,s.multiplier=s.multiplier.multiply(o)}var l=S.Simplify.unstrip(r,a);return l}},Classes:{Polynomial:x,Factors:A,MVTerm:k}};e.Expression.prototype.simplify=function(){return S.Simplify.simplify(this.symbol)},r.useAlgebraDiv=function(){var i=S.divideFn=t.divide,r=0;t.divide=function(t,n){var a;return r++,a=1===r?e.Algebra.divide(t,n):i(t,n),r=0,a}},r.useParserDiv=function(){S.divideFn&&(t.divide=S.divideFn),delete S.divideFn},r.register([{name:"factor",visible:!0,numargs:1,build:function(){return S.Factor.factor}},{name:"simplify",visible:!0,numargs:1,build:function(){return S.Simplify.simplify}},{name:"gcd",visible:!0,numargs:[1],build:function(){return S.gcd}},{name:"lcm",visible:!0,numargs:[1],build:function(){return S.lcm}},{name:"roots",visible:!0,numargs:-1,build:function(){return S.roots}},{name:"divide",visible:!0,numargs:2,build:function(){return S.divide}},{name:"div",visible:!0,numargs:2,build:function(){return S.div}},{name:"partfrac",visible:!0,numargs:[1,2],build:function(){return S.PartFrac.partfrac}},{name:"deg",visible:!0,numargs:[1,2],build:function(){return S.degree}},{name:"coeffs",visible:!0,numargs:[1,2],build:function(){var t=function(){var t=S.coeffs.apply(S,arguments);return new e.Vector(t)};return t}},{name:"line",visible:!0,numargs:[2,3],build:function(){return S.line}},{name:"sqcomp",visible:!0,numargs:[1,2],build:function(){var e=function(e,t){try{t=t||p(e)[0];var i=S.sqComplete(e.clone(),t);return i.f}catch(r){return e}};return e}}]),r.updateAPI()}()},481:function(e,t,i){if(i(1703),i(7658),i(541),"undefined"===typeof r){var r=i(5923);i(6826)}(function(){"use strict";var e=r.getCore(),t=e.PARSER,i=e.Frac,n=e.Settings,a=e.Utils.isSymbol,o=e.groups.FN,s=e.Symbol,l=e.Utils.text,u=e.Utils.inBrackets,c=e.Utils.isInt,h=e.Utils.format,d=e.Utils.even,p=e.Utils.evaluate,m=e.groups.N,f=e.groups.S,g=(o=e.groups.FN,e.groups.PL),v=e.groups.CP,y=e.groups.CB,b=e.groups.EX,w=e.groups.P,x=n.LOG,A="exp",k="abs",S="sqrt",M="sin",N="cos",z="tan",L="sec",C="csc",E="cot",_="asin",T="acos",B="atan",I="asec",q="acsc",D="acot",O="sinh",R="cosh",F="tanh",P="csch",V="sech",U="coth",K="asech",H="acsch",G="acoth";function j(e){this.message=e||""}j.prototype=new 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L:e=t.parse(h("(1-cos(2*({0})))/(1+cos(2*({0})))+1",i));break;default:e=n}else if(this.fname===L)e=t.parse(h("1/cos({0})^({1})",this.args[0],this.power));else if(this.fname===C)e=t.parse(h("1/sin({0})^({1})",this.args[0],this.power));else if(this.fname===z)e=this.power.lessThan(0)?t.parse(h("cos({0})^(-({1}))/sin({0})^({1})",this.args[0],this.power.negate())):t.parse(h("sin({0})^({1})/cos({0})^({1})",this.args[0],this.power));else if(this.fname===M&&this.power.lessThan(0))e=t.parse(h("csc({0})^(-({1}))",this.args[0],this.power.negate()));else if(this.fname===N&&this.power.lessThan(0))e=t.parse(h("sec({0})^(-({1}))",this.args[0],this.power.negate()));else if(this.fname===M&&this.power.equals(3))e=t.parse(h("(3*sin({0})-sin(3*({0})))/4",this.args[0]));else if(this.fname===N&&this.power.equals(3))e=t.parse(h("(cos(3*({0}))+3*cos({0}))/4",this.args[0]));else if(this.fname!==N&&this.fname!==M||!d(this.power))e=n;else{var a=this.power/2,l=t.pow(this.clone().toLinear(),t.parse(2)).fnTransform(),u=t.expand(t.pow(l,t.parse(a)));e=new s(0),u.each((function(i){var r=i.fnTransform();e=t.add(e,r)}),!0)}return t.multiply(e,r)},s.prototype.hasTrig=function(){if(this.isConstant(!0)||this.group===f)return!1;if(this.fname&&(e.Utils.in_trig(this.fname)||e.Utils.in_inverse_trig(this.fname)))return!0;if(this.symbols)for(var t in this.symbols)if(this.symbols[t].hasTrig())return!0;return!1},e.Expression.prototype.hasIntegral=function(){return this.symbol.hasIntegral()},e.Utils.toCommonDenominator=function(i){if(i.isComposite()&&i.isLinear()){var r=new s(i.multiplier),n=new s(1),a=new s(0);i.each((function(e){n=t.multiply(n,e.getDenom())}),!0),i.each((function(e){var i=e.getNum(),r=e.getDenom(),o=t.multiply(i,t.divide(n.clone(),r));a=t.add(a,o)}));var o=t.multiply(r,e.Algebra.divide(t.expand(a),t.expand(n)));return o}return i},e.Utils.in_inverse_trig=function(e){var t=[_,T,B,q,I,D];return-1!==t.indexOf(e)},e.Utils.in_trig=function(e){var t=[N,M,z,L,C,E];return-1!==t.indexOf(e)},e.Utils.in_htrig=function(e){var t=[O,R,F,H,K,G];return-1!==t.indexOf(e)},e.Matrix.jacobian=function(t,i){var r=new e.Matrix;return i||(i=e.Utils.arrayGetVariables(t)),i.forEach((function(i,n){t.forEach((function(t,a){var o=e.Calculus.diff(t.clone(),i);r.set(a,n,o)}))})),r},e.Matrix.prototype.max=function(){var e=new s(0);return this.each((function(t){var i=t.abs();i.gt(e)&&(e=i)})),e},e.Matrix.cMatrix=function(i,r){var n=new e.Matrix;return r.forEach((function(e,r){n.set(r,0,t.parse(i))})),n};var Q=e.Utils.all_functions=function(e){for(var t=0,i=e.length;t<i;t++)if(e[t].group!==o)return!1;return!0},W=e.Utils.cosAsinBtranform=function(e,i){var r,n;return r=e.args[0],n=i.args[0],t.parse(h("(sin(({0})+({1}))-sin(({0})-({1})))/2",r,n))},Z=e.Utils.cosAsinAtranform=function(e,i){return 1!==Number(i.power)?t.multiply(e,i):(r=e.args[0],t.parse(h("(sin(2*({0})))/2",r)));var r},Y=e.Utils.cosAsinBtranform=function(e,i){var r,n;return r=e.args[0],n=i.args[0],t.parse(h("(cos(({0})+({1}))-cos(({0})-({1})))/2",r,n))},X=e.Utils.trigTransform=function(e){for(var i,r,n={},a=new s(1),l=0,u=e.length;l<u;l++)if(i=e[l],i.group===o){var c=i.fname;c===N&&n[M]?(r=n[M].args[0].toString()!==i.args[0].toString()?W(i,n[M]):Z(i,n[M]),delete n[M],a=t.multiply(a,r)):c===M&&n[N]?(r=n[N].args[0].toString()!==i.args[0].toString()?W(i,n[N]):Z(i,n[N]),delete n[N],a=t.multiply(a,r)):c===M&&n[M]?(n[M].args[0].toString()!==i.args[0].toString()?(r=Y(i,n[M]),delete n[M]):(r=t.multiply(i,n[M]),delete n[M]),a=r):n[c]=i}else a=t.multiply(a,i);for(var h in n)a=t.multiply(a,n[h]);return a};e.Settings.integration_depth=10,e.Settings.max_lim_depth=10;var J=e.Calculus={version:"1.4.6",sum:function(i,r,n,a){if(r.group!==e.groups.S)throw new e.exceptions.NerdamerTypeError("Index must be symbol. 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Q=Y(t.parse(r)),W=J.diff(r.args[0].clone(),O);r=t.multiply(Q,W)}return d>1&&(d--,r=J.diff(r,c,d)),r;function Z(e){return(e.value===O||e.contains(O,!0))&&(e.multiplier=e.multiplier.multiply(e.power),e.power=e.power.subtract(new i(1)),e.power.equals(0)&&(e=s(e.multiplier))),e}function Y(e){var r,d,p=e.group;if(p===m||p===f&&e.value!==O||p===w)e=s(0);else if(p===f)e=Z(e);else{if(p===y){var A=e.multiplier.clone();e.toUnitMultiplier();var S=t.multiply($(e),Z(e));return S.multiplier=S.multiplier.multiply(A),S}if(p===o&&e.power.equals(1))switch(e.fname){case x:d=e.clone(),e=e.args[0].clone(),e.power=e.power.negate(),e.multiplier=d.multiplier.divide(e.multiplier);break;case N:e.fname=M,e.multiplier.negate();break;case M:e.fname=N;break;case z:e.fname=L,e.power=new i(2);break;case L:e=X(e,z);break;case C:e=X(e,"-cot");break;case E:e.fname=C,e.multiplier.negate(),e.power=new i(2);break;case _:e=t.parse("(sqrt(1-("+l(e.args[0])+")^2))^(-1)");break;case T:e=t.parse("-(sqrt(1-("+l(e.args[0])+")^2))^(-1)");break;case B:e=t.parse("(1+("+l(e.args[0])+")^2)^(-1)");break;case k:A=e.multiplier.clone(),e.toUnitMultiplier(),r=e.args[0].clone(),r.toUnitMultiplier(),e=t.parse(u(l(e.args[0]))+"/abs"+u(l(r))),e.multiplier=A;break;case"parens":e=s(1);break;case"cosh":e.fname="sinh";break;case"sinh":e.fname="cosh";break;case F:e.fname=V,e.power=new i(2);break;case V:e=X(e,"-tanh");break;case P:var R=String(e.args[0]);return t.parse("-coth("+R+")*csch("+R+")");case U:R=String(e.args[0]);return t.parse("-csch("+R+")^2");case"asinh":e=t.parse("(sqrt(1+("+l(e.args[0])+")^2))^(-1)");break;case"acosh":e=t.parse("(sqrt(-1+("+l(e.args[0])+")^2))^(-1)");break;case"atanh":e=t.parse("(1-("+l(e.args[0])+")^2)^(-1)");break;case K:R=String(e.args[0]);e=t.parse("-1/(sqrt(1/("+R+")^2-1)*("+R+")^2)");break;case G:e=t.parse("-1/(("+e.args[0]+")^2-1)");break;case H:R=String(e.args[0]);e=t.parse("-1/(sqrt(1/("+R+")^2+1)*("+R+")^2)");break;case I:R=String(e.args[0]);e=t.parse("1/(sqrt(1-1/("+R+")^2)*("+R+")^2)");break;case q:R=String(e.args[0]);e=t.parse("-1/(sqrt(1-1/("+R+")^2)*("+R+")^2)");break;case D:e=t.parse("-1/(("+e.args[0]+")^2+1)");break;case"S":R=String(e.args[0]);e=t.parse("sin((pi*("+R+")^2)/2)");break;case"C":R=String(e.args[0]);e=t.parse("cos((pi*("+R+")^2)/2)");break;case"Si":R=e.args[0];e=t.parse("sin("+R+")/("+R+")");break;case"Shi":R=e.args[0];e=t.parse("sinh("+R+")/("+R+")");break;case"Ci":R=e.args[0];e=t.parse("cos("+R+")/("+R+")");break;case"Chi":R=e.args[0];e=t.parse("cosh("+R+")/("+R+")");break;case"Ei":R=e.args[0];e=t.parse("e^("+R+")/("+R+")");break;case"Li":R=e.args[0];e=t.parse("1/"+n.LOG+"("+R+")");break;case"erf":e=t.parse("(2*e^(-("+e.args[0]+")^2))/sqrt(pi)");break;case"atan2":var j=String(e.args[0]),Q=String(e.args[1]);e=t.parse("("+Q+")/(("+Q+")^2+("+j+")^2)");break;case"sign":e=new s(0);break;case"sinc":e=t.parse(h("(({0})*cos({0})-sin({0}))*({0})^(-2)",e.args[0]));break;case n.LOG10:e=t.parse("1/(("+e.args[0]+")*"+n.LOG+"(10))");break;default:e=t.symfunction("diff",[e,c])}else if(p===b||p===o&&a(e.power)){var W;W=p===b?e.value:p===o&&e.contains(O)?e.fname+u(l(e.args[0])):e.value+u(l(e.args[0])),t.multiply(t.parse(x+u(W)),e.power.clone()),r=J.diff(t.multiply(t.parse(x+u(W)),e.power.clone()),O),e=t.multiply(e,r)}else if(p!==o||e.power.equals(1)){if(p===v||p===g){var ee=e.clone(),te=new s(0);for(var ie in e.symbols)te=t.add(te,J.diff(e.symbols[ie].clone(),O));e=t.multiply(Z(ee),te)}}else r=e.clone(),r.toLinear(),r.toUnitMultiplier(),e=t.multiply(Z(e.clone()),Y(r))}return e.updateHash(),e}function X(e,i,r){return t.multiply(e,t.parse(i+u(r||l(e.args[0]))))}function $(e){for(var i=e.collectSymbols(),r=new s(0),n=i.length,a=0;a<n;a++){for(var o=J.diff(i[a].clone(),O),l=0;l<n;l++)a!==l&&(o=t.multiply(o,i[l].clone()));r=t.add(r,o)}return r}},integration:{u_substitution:function(i,r){function n(e,i,n){var a=J.diff(i,r),o=n?n(e,i):t.divide(e.clone(),a);return o.contains(r,!0)?null:o}function a(e,i){var r=J.integrate(t.symfunction(e,[new s(p)]),p,0);return r=r.sub(new s(p),i),r.updateHash(),r}var l,u=i[0].clone(),c=i[1].clone(),h=u.group,d=c.group,p="__u__";if(h===o&&d!==o){var m=u.args[0];if(l=n(c,m.clone()),l)return t.multiply(l,a(u.fname,m));if(l=n(c,u),l)return J.integration.poly_integrate(u)}else if(d===o&&h!==o){m=c.args[0];if(l=n(u,m.clone()),l)return t.multiply(l,a(c.fname,m))}else if(h===o&&d===o){if(l=n(u.clone(),c.clone()),l)return t.multiply(J.integration.poly_integrate(c),l);if(l=n(c.clone(),u.clone()),l)return t.multiply(J.integration.poly_integrate(c),l)}else{if(h===b&&d!==b){var f=u.power;if(l=n(c,f.clone()),!l){var g=J.integration.decompose_arg(f.clone(),r),v=J.diff(g[2].clone(),r),y=J.integration.decompose_arg(v.clone(),r);if(t.multiply(g[1],y[1]).power.equals(c.power)){var w=t.divide(g[0].clone(),y[0].clone()),x=t.multiply(w.clone(),t.pow(new s(u.value),t.multiply(g[0],new s(p))));return x=t.multiply(x,new s(p)),J.integration.by_parts(x,p,0,{}).sub(p,g[1].clone())}}var A=J.integrate(u.sub(f.clone(),new s(p)),p,0),k=t.multiply(A.sub(new s(p),f),l);return k}if(d===b&&h!==b){f=c.power;l=n(u,f.clone());A=J.integrate(c.sub(f,new s(p)),p,0);return t.multiply(A.sub(new s(p),f),l)}if(u.isComposite()||c.isComposite()){var S=function(i,n){var a=J.diff(n,r),o=e.Algebra.Factor.factor(i),s=e.Algebra.Factor.factor(a),l=t.divide(o,s);return l},M=u.isComposite()?u.clone().toLinear():u.clone(),N=c.isComposite()?c.clone().toLinear():c.clone();if(l=n(M.clone(),N.clone(),S),l)return t.multiply(J.integration.poly_integrate(c),l);if(l=n(N.clone(),M.clone(),S),l)return t.multiply(J.integration.poly_integrate(u),l)}}},poly_integrate:function(e){var i=e.power.toString(),r=e.multiplier.toDecimal(),n=e.toUnitMultiplier().toLinear();return-1===Number(i)?t.multiply(new s(r),t.symfunction(x,[n])):t.parse(h("({0})*({1})^(({2})+1)/(({2})+1)",r,n,i))},stop:function(t){throw t=t||"Unable to compute integral!",e.Utils.warn(t),new j(t)},partial_fraction:function(i,r,n,o){var l,u;return a(r)||(r=t.parse(r)),l=new s(0),u=e.Algebra.PartFrac.partfrac(i,r),u.group===y&&u.isLinear()?(u.each((function(e){e.isLinear()||J.integration.stop()})),u.each((function(e){l=t.add(l,J.integrate(e,r,n,o))}))):l=t.add(l,J.integrate(u,r,n,o)),l},get_udv:function(i){var r=[[],[],[],[],[]],n=function(t){var i=t.group;if(i===o){var n=t.fname;e.Utils.in_trig(n)||e.Utils.in_htrig(n)?r[3].push(t):e.Utils.in_inverse_trig(n)?r[1].push(t):n===x?r[0].push(t):J.integration.stop()}else i===f||t.isComposite()&&t.isLinear()||i===y&&t.isLinear()?r[2].push(t):i===b||t.isComposite()&&!t.isLinear()?r[4].push(t):J.integration.stop()};i.group===y?i.each((function(e){n(s.unwrapSQRT(e,!0))})):n(i);for(var a,l=new s(1),u=0;u<5;u++){var c,h=r[u],d=h.length;if(d>0){if(d>1){c=new s(1);for(var p=0;p<d;p++)c=t.multiply(c,h[p].clone())}else c=h[0].clone();a?l=t.multiply(l,c):(a=c,a.multiplier=a.multiplier.multiply(i.multiplier))}}return[a,l]},trig_sub:function(i,r,n,a,o,s){o=o||J.integration.decompose_arg(i.clone().toLinear(),r);o[3],o[2];var l=o[0],c=o[1];if(c.power.equals(2)&&l.greaterThan(0)){var h=e.Utils.getU(i),d=t.parse(z+u(h)),p=t.parse(L+u(h)+"^2"),m=t.multiply(i.sub(c,d),p),f=J.integrate(m,h,n,a).sub(d,c);return e.Utils.clearU(d),f}},by_parts:function(i,r,n,a){var o,l,u,c,h,d,p,m,f,g,v,y;if(a.previous=a.previous||[],o=J.integration.get_udv(i),l=o[0],u=o[1],c=s.unwrapSQRT(t.expand(J.diff(l.clone(),r)),!0),v=c.clone().stripVar(r),c=t.divide(c,v.clone()),h=J.integrate(u.clone(),r,n||0),d=t.multiply(h.clone(),c),y=d.toString(),-1!==a.previous.indexOf(y)&&e.Utils.in_trig(l.fname)&&u.isE())return a.is_cyclic=!0,new s(1);if(a.previous.push(y),p=t.multiply(l,h),g=d.multiplier.clone(),d.toUnitMultiplier(),f=t.multiply(J.integrate(d.clone(),r,n,a),v),f.multiplier=f.multiplier.multiply(g),m=t.subtract(p,f),a.is_cyclic&&(a.previous.pop(),0===a.previous.length)){m=t.expand(m);var b=new s(0);m.each((function(e){e.contains(r)||(b=t.add(b,e.clone()))})),m=t.divide(t.subtract(m,b.clone()),t.subtract(new s(1),b))}return m},decompose_arg:e.Utils.decompose_fn},integrate:function(r,l,p,m){if(!l){var w=e.Utils.variables(r);1===w.length&&(l=w[0]),l=l||"x"}if(e.Utils.isVector(r)){var W=new e.Vector([]);return r.each((function(e){W.elements.push(J.integrate(e,l))})),W}return isNaN(l)||t.error("variable expected but received "+l),r.isConstant(!0)?t.multiply(r.clone(),t.parse(l)):(m=m||{},e.Utils.block("PARSE2NUMBER",(function(){p=p||0;var w,W=a(l)?l.toString():l,Z=s.unwrapSQRT(r.clone(),!0),Y=Z.group;try{if(++p>e.Settings.integration_depth&&J.integration.stop("Maximum depth reached. Exiting!"),Z.contains(W,!0)){if(Y===f)w=J.integration.poly_integrate(Z,W,p);else if(Y===b)if(Z.previousGroup===o&&"sqrt"!==Z.fname&&Z.fname!==n.PARENTHESIS&&J.integration.stop(),Z.contains(W)&&Z.previousGroup!==o)if(Z.power.contains(W))J.integration.stop();else{var $=J.diff(Z.clone().toLinear(),W);$.contains(W)&&J.integration.stop(),w=J.integration.poly_integrate(Z,W,p)}else{var ee=J.diff(Z.power.clone(),W);if(ee.contains(W)){var te=ee.stripVar(W),ie=t.divide(ee.clone(),te.clone());if(ie.group===f&&ie.isLinear())return te.multiplier=te.multiplier.divide(new i(2)),t.parse(h("({2})*(sqrt(pi)*erf(sqrt(-{0})*{1}))/(2*sqrt(-{0}))",te,W,Z.multiplier));J.integration.stop()}if(Z.isE())ee.isLinear()?w=Z:ee.isE()&&ee.power.group===f&&ee.power.power.equals(1)?w=t.multiply(t.symfunction("Ei",[Z.power.clone()]),Z.power):J.integration.stop();else{var re=t.symfunction(x,[t.parse(Z.value)]);w=t.divide(Z,re)}w=t.divide(w,ee)}else if(Z.isComposite()&&Z.isLinear()){var ne=t.parse(Z.multiplier);Z.toUnitMultiplier(),w=new s(0),Z.each((function(e){w=t.add(w,J.integrate(e,W,p))})),w=t.multiply(ne,w)}else if(Y===v)if(Z.power.greaterThan(1)&&(Z=t.expand(Z)),Z.power.equals(1))w=new s(0),Z.each((function(e){w=t.add(w,J.integrate(e,W,p))}),!0);else{var ae=Number(Z.power);ne=Z.multiplier.clone();Z.toUnitMultiplier();var oe=Z.clone().toLinear(),se=J.integration.decompose_arg(oe,W),le=se[3],ue=se[2];ee=se[0],ie=se[1];if(-1===ae&&ie.group!==g&&ie.power.equals(2)){var ce=!c(le)||le>0;if(ie.group===f&&ie.power.equals(2)&&ce){var he=function(e){var i=new s(1);return e.each((function(e){i=t.multiply(i,"abs"===e.fname?e.args[0]:e)})),i},de=ee.clone(),pe=le.clone();de=t.pow(de,new s(.5)),pe=t.pow(pe,new s(.5));re=t.multiply(he(pe),he(de));var me=t.symfunction(B,[t.divide(t.multiply(ee,ie.toLinear()),re.clone())]);w=t.divide(me,re)}else if(ie.group===f&&ie.isLinear())w=t.divide(J.integration.poly_integrate(Z),ee);else if(ie.power.equals(4)){var fe,ge,ve,ye,be,we,xe=u;de=t.parse(S+xe(ee)+"*"+W+"^2"),pe=t.parse(S+xe(2)+"*"+xe(ee)+"^"+xe("1/4")+"*"+xe(le)+"^"+xe("1/4")+"*"+W),fe=t.parse(S+xe(le)),qe=t.add(t.add(de.clone(),pe.clone()),fe.clone()),at=t.add(t.subtract(de,pe),fe),ge=t.parse(S+xe(2)+"*"+xe(le)+"^"+xe("3/4")),ve=t.parse(S+xe(le)+"*"+xe(le)+"^"+xe("1/4")+"*"+W),ye=t.parse("2*"+xe(le)+"*"+S+xe(2)+"*"+xe(le)+"^"+xe("1/4")),be=t.divide(t.subtract(ge.clone(),ve.clone()),t.multiply(ye.clone(),at)),we=t.divide(t.add(ge,ve),t.multiply(ye,qe.clone())),w=t.add(J.integrate(be,W,p,m),J.integrate(we,W,p,m))}else w=J.integration.partial_fraction(Z,W,p)}else if(-.5===ae)if(ie.group===f&&ie.power.equals(2))if(ue.multiplier.lessThan(0)&&!le.multiplier.lessThan(0))if(ee.negate(),le.isConstant()&&ee.isConstant()){re=t.symfunction(S,[ee.clone()]);var Ae=t.symfunction(S,[t.multiply(ee.clone(),le)]);w=t.divide(t.symfunction(_,[t.divide(ue.toLinear(),Ae)]),re)}else{var ke=t.symfunction(S,[ee]),Se=t.multiply(ke.clone(),ie.clone().toLinear());w=t.divide(t.symfunction(B,[t.divide(Se,t.symfunction(S,[oe.clone()]))]),ke)}else J.integration.stop();else J.integration.stop();else if(.5===ae&&ie.power.equals(2)&&ee.greaterThan(0))J.integration.stop();else if(ie.isLinear()&&ie.group!==g)w=t.divide(J.integration.poly_integrate(Z),ee);else{if(ie.power.equals(2)&&ee.greaterThan(0)){var Me,Ne,ze,Le,Ce,Ee;Me=t.parse(S+u(ee)),Ne=t.parse(S+u(le)),ze=t.multiply(Me.clone(),Ne.clone()).invert(),Le=t.pow(le,new s(Z.power)),Ee=e.Utils.getU(Z),Pe=t.multiply(ze,ie.clone().toLinear()),Ce=t.parse(B+u(Pe));var _e=2*(Math.abs(Z.power)-1),Te=J.integrate(t.parse(N+u(Ee)+"^"+_e));return e.Utils.clearU(Ee),t.multiply(Te.sub(Ee,Ce),Le)}if(Z.group===y||Z.power.lessThan(0)){me=Z.clone().toLinear();var Be=e.Algebra.Factor.factor(me),Ie=Be.toString()!==me.toString();if(e.Algebra.degree(me,t.parse(W)).equals(2)&&!Ie)try{var qe,De,Oe;Oe=e.Algebra.sqComplete(me,W),Pe=e.Utils.getU(me),qe=Oe.f.sub(Oe.a,Pe),De=t.pow(qe,t.parse(Z.power)),w=J.integrate(De,Pe).sub(Pe,Oe.a)}catch(ri){J.integration.stop()}else w=J.integration.partial_fraction(Z,W,p,m)}else w=J.integration.by_parts(Z,W,p,m)}w.multiplier=w.multiplier.multiply(ne)}else if(Y===o){var Re=Z.args[0];ne=Z.multiplier.clone();Z.toUnitMultiplier();se=J.integration.decompose_arg(Re,W),ee=se[0],ie=se[1];var Fe=Z.fname;if(Fe===x||Fe===_||Fe===T||Fe===B&&ie.isLinear()){ae=Z.power.toString();if(c(ae)&&(p-=ae),Re.isComposite()){var Pe=e.Utils.getU(Z),Ve=(me=t.pow(t.parse(x+u(Pe)),new s(ae)),J.diff(Re,W)),Ue=t.multiply(me,Ve);Te=J.integrate(Ue,Pe,p,m);w=t.multiply(t.parse(ne),Te.sub(Pe,Re))}else w=t.multiply(t.parse(ne),J.integration.by_parts(Z,W,p,m))}else{if(Fe===z&&Z.power.lessThan(0)){var Ke=Z.clone();return Ke.power.negate(),Ke.fname=E,t.multiply(t.parse(ne),J.integrate(Ke,W,p))}if(!ee.contains(W,!0)&&Z.isLinear())if(Fe===k){ie=t.divide(Re.clone(),ee.clone());if(ie.group!==f||ie.power.lessThan(0))J.integration.stop();else if(e.Utils.even(ie.power))w=J.integrate(Re,W,p);else{var He=J.integrate(ie,W,p);He.power=He.power.subtract(new i(1)),w=t.multiply(t.multiply(t.symfunction(k,[ie.toLinear()]),He),ee)}}else{var Ge=Z.args[0].group,je=J.integration.decompose_arg(Re,W);switch((Ge!==v&&Ge!==f&&Ge!==y||!je[1].power.equals(1)||Re.hasFunc())&&J.integration.stop(),Fe){case N:w=t.symfunction(M,[Re]);break;case M:w=t.symfunction(N,[Re]),w.negate();break;case z:w=t.parse(h(n.LOG+"(sec({0}))",Re));break;case L:w=t.parse(h(n.LOG+"(tan({0})+sec({0}))",Re));break;case C:w=t.parse(h("-"+n.LOG+"(csc({0})+cot({0}))",Re));break;case E:w=t.parse(h(n.LOG+"(sin({0}))",Re));break;case O:w=t.symfunction(R,[Re]);break;case R:w=t.symfunction(O,[Re]);break;case F:w=t.parse(h(n.LOG+"(cosh({0}))",Re));break;case I:w=J.integration.by_parts(Z,W,p,m);break;case q:w=J.integration.by_parts(Z,W,p,m);break;case D:w=J.integration.by_parts(Z,W,p,m);break;case K:w=J.integration.by_parts(Z,W,p,m);break;case H:w=J.integration.by_parts(Z,W,p,m);break;case G:w=J.integration.by_parts(Z,W,p,m);break;case V:w=t.parse(h("atan(sinh({0}))",Re));break;case P:w=t.parse(h(n.LOG+"(tanh(({0})/2))",Re));break;case U:w=t.parse(h(n.LOG+"(sinh({0}))",Re));break;case A:w=J.integrate(t.parse(h("e^({0})",Re)),W,p);break;case"S":Re=Z.args[0].clone();var Qe=J.integration.decompose_arg(Re,W),We=Qe[1],Ze=Qe[0],Ye=Qe[3];w=t.parse(h("(cos((1/2)*pi*(({1})+({0})*({2}))^2)+pi*(({1})+({0})*({2}))*S(({1})+({0})*({2})))/(({0})*pi)",Ze,Ye,ie));break;case"C":Re=Z.args[0].clone(),Qe=J.integration.decompose_arg(Re,W),We=Qe[1],Ze=Qe[0],Ye=Qe[3];w=t.parse(h("(pi*(({1})+({0})*({2}))*C(({1})+({0})*({2}))-sin((1/2)*pi*(({1})+({0})*({2}))^2))/(({0})*pi)",Ze,Ye,We));break;case"erf":Re=Z.args[0].clone(),Qe=J.integration.decompose_arg(Re,W),We=Qe[1],Ze=Qe[0];w=t.parse(h("e^(-(({2}))^2)/(({0})*sqrt(pi))+(1/({0})+({1}))*erf(({2}))",Ze,We,Re));break;case"sign":w=t.multiply(Z.clone(),Re.clone());break;default:J.integration.stop()}w=t.divide(w,ee)}else if(ie.isLinear())if(Fe===N||Fe===M){ae=Number(Z.power);if(ae<0)Z.fname=Fe===M?C:L,Z.invert().updateHash(),w=J.integrate(Z,W,p);else{Re=Z.args[0];var Xe=Z.clone(),Je=Z.clone(),$e=new s((ae-1)/ae),et=t.multiply(ee.clone(),new s(ae)).invert();Xe.power=Xe.power.subtract(new i(1)),Je.power=Je.power.subtract(new i(2));$=t.symfunction(Fe===N?M:N,[Re.clone()]);Fe===M&&$.negate(),w=t.add(t.multiply(t.multiply(et,Xe),$),t.multiply($e,J.integrate(t.parse(Je),W,p)))}}else if(Fe===z||Fe===E){if(Z.args[0].isLinear(W)){_e=Z.power.subtract(new i(1)).toString();var tt=Z.clone().toUnitMultiplier(),it=t.parse(h((Fe===E?"-":"")+"1/({2}*{0})*{3}({1})^({0})",_e,Re,ee,Fe));tt.power=tt.power.subtract(new i(2)),tt.power.equals(0)&&(tt=t.parse(tt)),w=t.subtract(it,J.integrate(tt,W,p))}}else if(Fe===L||Fe===C){var rt=Z.power.subtract(new i(1)).toString(),nt=Z.power.subtract(new i(2)).toString(),at=Fe===L?z:E,ot=(tt=Z.clone().toUnitMultiplier(),h((Fe===C?"-":"")+"1/({0}*{1})*{4}({3})^({2})*{5}({3})",ee,rt,nt,Re,Fe,at));it=t.parse(ot);tt.power=tt.power.subtract(new i(2)),tt.power.equals(0)&&(tt=t.parse(tt)),w=t.add(it,t.multiply(new s(nt/rt),J.integrate(tt,W,p)))}else Fe!==R&&Fe!==O||!Z.power.equals(2)?J.integration.stop():w=J.integrate(Z.fnTransform(),W,p);else J.integration.stop();w.multiplier=w.multiplier.multiply(ne)}}else if(Y===g)w=J.integration.partial_fraction(Z,W,p);else if(Y===y){var st=Z.getDenom();st.group===f&&(Z=t.expand(Z));var lt=Z.stripVar(W),ut=t.divide(Z.clone(),lt.clone());if(lt.contains(W)&&(ut=t.multiply(ut,lt),lt=new s(1)),ut.group!==y){if(ut.equals(1))return J.integrate(t.expand(Z),W,p);ut.clone().toLinear().isPoly(!0)&&e.Utils.variables(ut).length>1&&(ut=e.Algebra.Factor.factor(ut)),w=J.integrate(ut,W,p)}else{var ct=ut.collectSymbols().sort((function(e,t){return e.group===t.group?Number(e.power)===Number(t.power)?e<t?1:-1:t.power-e.power:t.group-e.group})).map((function(e){var i=s.unwrapSQRT(e,!0);return i.fname===A?t.parse(h("({1})*e^({0})",i.args[0],i.multiplier)):i})),ht=ct.length;if(Z.power<0){if(2===ht)return J.integrate(t.expand(Z),W,p,m)}else if(2===ht){try{w=J.integration.u_substitution(ct,W)}catch(ri){}if(!w){var dt=ct[0].group,pt=ct[1].group,mt=ct[0],ft=ct[1],gt=mt.fname,vt=ft.fname;if(Z=t.multiply(mt.clone(),ft.clone()),dt===o&&pt===o)if(gt===x||vt===x)w=J.integration.by_parts(Z.clone(),W,p,m);else{ct.sort((function(e,t){return t.fname>e.fname}));var yt=mt.args[0];(!yt.isLinear()||yt.group!==v&&yt.group!==y&&yt.group!==f)&&J.integration.stop();se=J.integration.decompose_arg(yt,W);ie=se[1],ee=se[0],ie.isLinear()||J.integration.stop();var bt=ft.args[0];if(yt.equals(bt))if(gt===M&&vt===N||gt===N&&vt===M)if(mt.power.lessThan(0)&&J.integration.stop(),gt===M&&mt.power.add(ft.power).equals(0))mt.fname=z,mt.updateHash(),w=J.integrate(mt,W,p);else if(d(mt.power)&&vt===N&&ft.power.lessThan(0)){_e=Number(mt.power)/2;var wt=t.parse(h("(1-cos({0})^2)^({1})",mt.args[0],_e));w=J.integrate(t.expand(t.multiply(wt,ft.clone())),W,p,m)}else if(d(mt.power)&&vt===M&&ft.power.lessThan(0)){_e=Number(mt.power)/2,wt=t.parse(h("(1-sin({0})^2)^({1})",mt.args[0],_e));w=J.integrate(t.expand(t.multiply(wt,ft.clone())),W,p,m)}else{var xt=e.Utils.even(mt.power),At=e.Utils.even(ft.power);if(w=new s(0),xt&&At){var kt=function(e){var i,r=e.power,n=r/2;return i=e.fname===N?"((1/2)+(cos(2*("+e.args[0]+"))/2))^"+n:"((1/2)-(cos(2*("+e.args[0]+"))/2))^"+n,t.parse(i)};ee=kt(mt),le=kt(ft),$=t.multiply(ee,le),Ke=t.expand($);return Ke.each((function(e){w=t.add(w,J.integrate(e,W,p))})),t.multiply(w,lt)}xt?(Pe=mt,tt=ft):(Pe=ft,tt=mt);var St=Pe.fname===N?-1:1,Mt=(_e=tt.power,(_e-1)/2),Nt=t.parse("(1-"+Pe.fname+e.Utils.inBrackets(yt)+"^2)^"+Mt),Ke=t.expand(t.multiply(new s(St),t.multiply(Pe.clone(),Nt)));Ke.each((function(e){w=t.add(w,J.integration.poly_integrate(e.clone()))}))}else if(gt===L&&vt===z&&ie.isLinear()&&ft.isLinear())w=t.parse(h("sec({0})^({1})/({1})",mt.args[0],mt.power));else 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if(mt.isLinear()&&ft.isLinear())if(mt.args[0].isLinear()&&ft.args[0].isLinear()){vt===M?(ue=mt.args[0],Gt=ft.args[0]):(Gt=mt.args[0],ue=ft.args[0]),me=t.parse(h("(sin(({1})+({0}))+sin(({1})-({0})))/2",ue.toString(),Gt.toString())),w=J.integrate(me,W,p)}else{var zt=X(ct);w=J.integrate(t.expand(zt),W,p)}else{zt=new s(1);ct.map((function(e){var i=e.fnTransform();zt=t.multiply(zt,i)}));$=t.expand(zt);w=J.integrate($,W,p),w.hasIntegral()&&(w=J.integrate(X(zt.collectSymbols()),W,p))}}else if(dt===o&&pt===f){var Lt=mt.isLinear();if(mt.fname===N&&Lt&&ft.power.equals(-1))w=t.symfunction("Ci",[mt.args[0]]);else if(mt.fname===N&&ft.power.equals(-1))w=J.integrate(t.multiply(mt.fnTransform(),ft.clone()),W,p);else if(mt.fname===R&&Lt&&ft.power.equals(-1))w=t.symfunction("Chi",[mt.args[0]]);else if(mt.fname===R&&ft.power.equals(-1))w=J.integrate(t.multiply(mt.fnTransform(),ft.clone()),W,p);else if(mt.fname===M&&Lt&&ft.power.equals(-1))w=t.symfunction("Si",[mt.args[0]]);else 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Ot=t.parse(_+"("+S+"("+ee+"/"+le+")*"+W+")");w=t.multiply(qt,Te.sub(new s("u"),Ot))}else if(-.5===Bt){var Rt=function(e,i){var r=t.parse(J.integrate(e,W,p,m).sub(W,h(i,W)));if(!r.hasIntegral())return r};-1===It?w=Rt(t.expand(t.expand(t.pow(t.multiply(mt.invert(),ft.invert()),new s(2)))).invert(),"sqrt(1-1/({0})^2)"):-2===It&&(w=Rt(t.sqrt(t.expand(t.divide(t.pow(Z,new s(2)).invert(),t.pow(new s(W),new s(2))).negate())).invert(),"sqrt(1-1/({0})^2)"))}}else if(mt.power.equals(-1)&&ft.isLinear()&&Tt)w=J.integration.partial_fraction(Z,W,p);else if(!mt.power.lessThan(0)&&c(mt.power)){var Ft=t.expand(mt);w=new s(0),Ft.each((function(e){e.group===g?e.each((function(e){w=t.add(w,J.integrate(t.multiply(ft.clone(),e),W,p))})):w=t.add(w,J.integrate(t.multiply(ft.clone(),e),W,p))}))}else if(mt.power.lessThan(-2))w=J.integration.by_parts(Z,W,p,m);else 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e=r.getCore(),t=e.PARSER,i=e.Algebra,a=e.Calculus,o=a.integration.decompose_arg,s=e.Utils.evaluate,l=e.Utils.remove,u=e.Utils.format,c=e.Utils.build,h=e.Utils.knownVariable,d=e.Symbol,p=e.Utils.isSymbol,m=e.Utils.variables,f=e.groups.S,g=e.groups.PL,v=e.groups.CB,y=e.groups.CP,b=e.groups.FN,w=e.Settings,x=e.Utils.range,A=e.Utils.isArray;function k(t,i){if(i.isConstant()&&t.isConstant()&&!t.equals(i)||t.equals(e.Settings.IMAGINARY)&&i.isConstant(!0)||i.equals(e.Settings.IMAGINARY)&&t.isConstant(!0))throw new e.exceptions.NerdamerValueError(t.toString()+" does not equal 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k(this.LHS.clone(),this.RHS.clone())},sub:function(e,t){var i=this.clone();return i.LHS=i.LHS.sub(e.clone(),t.clone()),i.RHS=i.RHS.sub(e.clone(),t.clone()),i},isZero:function(){return e.Utils.evaluate(this.toLHS()).equals(0)},latex:function(e){return[this.LHS.latex(e),this.RHS.latex(e)].join("=")}},t.equals=function(e,t){return new k(e,t)},function(){var e=t.functions.simplify[0];t.functions.simplify[0]=function(t){return t instanceof k?(t.LHS=e(t.LHS),t.RHS=e(t.RHS),t):e(t)}}(),e.Expression.prototype.equals=function(t){t instanceof e.Expression&&(t=t.symbol);var i=new k(this.symbol,t);return i},e.Expression.prototype.solveFor=function(t){var i;if(this.symbol instanceof k){if(this.symbol.LHS.isConstant()&&this.symbol.RHS.equals(t))return new e.Expression(this.symbol.LHS);if(this.symbol.RHS.isConstant()&&this.symbol.LHS.equals(t))return new e.Expression(this.symbol.RHS);i=this.symbol.toLHS()}else i=this.symbol;return z(i,t).map((function(t){return new e.Expression(t)}))},e.Expression.prototype.expand=function(){if(this.symbol instanceof k){var i=this.symbol.clone();return i.RHS=t.expand(i.RHS),i.LHS=t.expand(i.LHS),new e.Expression(i)}return new e.Expression(t.expand(this.symbol))},e.Expression.prototype.variables=function(){return this.symbol instanceof k?e.Utils.arrayUnique(m(this.symbol.LHS).concat(m(this.symbol.RHS))):m(this.symbol)};var S=function(e,i){return t.equals(e,i)};e.Equation=k;var M=e.Utils.checkAll=function(e,t){for(var i=0;i<e.length;i++)if(t(e[i]))return!1;return!0},N=e.Solve={version:"2.0.3",solutions:[],solve:function(t,i){var r=z(t,String(i));return new e.Vector(r)},toLHS:function(e,i){if(p(e))return e;if(!(e instanceof k)){var r=e.split("=");r[1]=r[1]||"0",e=new k(t.parse(r[0]),t.parse(r[1]))}return e.toLHS(i)},solveCircle:function(i,r){for(var n=r.map((function(e){return t.parse(e)})),a=[],o=[],s=0;s<i.length;s++){for(var l=[],u=0;u<n.length;u++)l.push(Number(e.Algebra.degree(i[s],n[u])));l.push(e.Utils.arraySum(l,!0)),a.push(l)}var c=i[0],d=i[1];if(a[0][2]>a[1][2]&&([d,c]=[c,d],[a[1],a[0]]=[a[0],a[1]]),1===a[0][0]&&2===a[0][2]&&2===a[1][0]&&4===a[1][2]){var p=r[0],m=r[1],f=z(t.parse(d,h(p,z(t.parse(c),p)[0])),m).map((function(e){return e.toString()})),g=[z(t.parse(c,h(m,f[0])))[0].toString()];if(f[1]&&g.push(z(t.parse(c,h(m,f[1])))[0].toString()),w.SOLUTIONS_AS_OBJECT){o={};o[p]=g,o[m]=f}else f.unshift(m),g.unshift(p),o=[g,f]}return o},solveNonLinearSystem:function(i,r,a){if(r<0)return[];a="undefined"===typeof a?e.Settings.NON_LINEAR_START:a;var o=e.Settings.MAX_NON_LINEAR_TRIES,s=Math.floor(o/2);r="undefined"===typeof r?o:r;var l,u,h,d,p,m,f,g,v=e.Settings.NON_LINEAR_JUMP_AT,y=e.Settings.NON_LINEAR_JUMP_SIZE,b=!0,w=function(e,t){return e.map((function(e,i){return Number(t.get(i,0))}))},x=e.Utils.arrayGetVariables(i),A=e.Matrix.jacobian(i,x,(function(e){return 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n=t.subtract(t.pow(i.clone(),d(2)),t.multiply(t.multiply(r.clone(),e.clone()),d(4)));n=t.expand(n);var a=t.pow(n,d(.5)),o=t.parse(t.multiply(new d(2),r.clone())),s=[t.parse(u("(-({0})+({1}))/({2})",i,a,o)),t.parse(u("(-({0})-({1}))/({2})",i,a,o))];return s},cubic:function(e,i,r,n){var a=n.text(),o=r.text(),s=i.text(),l=e.text(),u=`(-(${o})^3/(27*(${a})^3)+(${o})*(${s})/(6*(${a})^2)-(${l})/(2*(${a})))`,c=`((${s})/(3*(${a}))-(${o})^2/(9*(${a})^2))`,h=`(${o})/(3*(${a}))`,d=`((${u})+sqrt((${u})^2+(${c})^3))^(1/3)+((${u})-sqrt((${u})^2+(${c})^3))^(1/3)-(${h})`,p="1/2+sqrt(3)/2*i";return[t.parse(d),t.parse(`(${d})(${p})`),t.parse(`(${d})(${p})^2`)]},quartic:function(i,r,n,a,o){var s,l,c,h,d,p,g,v,y,b={};return 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r=[],n=e.Algebra.Factor.factor(t);return n.group===v&&n.each((function(e){e=d.unwrapPARENS(e),r=r.concat(z(e,i))})),r},csolve:function(i,r){return e.Utils.block("IGNORE_E",(function(){var n,a,o,s,l,c,h,p;if(p=[],n=e.Utils.decompose_fn(i,r,!0),n.x.group===f){var m,g,v;a=t.parse(n.x.power),o=Number(a),s=t.pow(t.divide(n.b.negate(),n.a),a.invert()),l=d.toPolarFormArray(s),c=l[0],l[1],h=c.toString(),a.toString();for(var y=0;y<o;y++)m=y,v=u("({0})*e^(2*{1}*pi*{2}*{3})",h,m,a,e.Settings.IMAGINARY),g=t.parse(v),p.push(g)}return p}),!0)},getPoints:function(t,i,r){i=i||.01,r=r||[];var n=c(t),a=0,o=Math.round(a),s=n(o),l=s/Math.abs(s),u=e.Settings.ROOTS_PER_SIDE,h=u;r.push(Math.floor(o/2)),r.push(Math.abs(o)),r.push(o),t.each((function(t){t.containsFunction(e.Settings.LOG)&&r.push(.1)}));var d=x(-e.Settings.SOLVE_RADIUS,o,i),p=x(o,e.Settings.SOLVE_RADIUS,i),m=function(e,t){for(var i,a,o,s=[],u=0,c=e.length;u<c;u++)i=e[u],a=n(i),o=a/Math.abs(a),isNaN(a)||!isFinite(a)||s.length>t||(o!==l&&s.push(i),l=o);r=r.concat(s)};return m(d,h),m(p,u),r},bisection:function(t,i){var r=t-1,n=t+1;if(Math.sign(i(r))!==Math.sign(i(n))){var a,o,s=0;do{if(a=Math.abs(n-r),s++>e.Settings.MAX_BISECTION_ITER||isNaN(a))return;o=(r+n)/2,i(r)*i(o)>0?r=o:n=o}while(a>=w.EPSILON);var l=(r+n)/2,u=i(l);if(!isNaN(u)&&Math.abs(u)<=e.Settings.BI_SECTION_EPSILON)return e.Utils.round(l,13)}},Newton:function(t,i,r){var n,a=e.Settings.MAX_NEWTON_ITERATIONS,o=0,s=t;do{var l=i(s);if(0===s&&0===l){n=0;break}if(o++,o>a)return;n=s-l/r(s);var u=Math.abs(n-s);s=n}while(u>w.NEWTON_EPSILON);if(Math.abs(i(n))<=w.EPSILON)return n},rewrite:function(i,r,n){if(r=r||new d(0),i.isComposite()&&i.isLinear()){var a=[],o=[];i.each((function(e){e=e.clone(),"sqrt"===e.fname&&e.contains(n)?a.push(e):o.push(e)}),!0),1===a.length&&(r=t.expand(t.pow(t.subtract(r,e.Utils.arraySum(o)),new 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instanceof lt)return e;e=e.toString();var t="-"===e.charAt(0);t&&(e=e.substr(1,e.length-1));var i=new lt(e);return t&&i.negate(),i},lt.isFrac=function(e){return e instanceof lt},lt.quick=function(e,t){var i=new lt;return i.num=new r(e),i.den=new r(t),i},lt.simple=function(e){for(var t=String(I(e)),i=t.split("."),r=i.join(""),n=1,a=(i[1]||"").length,o=0;o<a;o++)n+="0";var s=lt.quick(r,n);return s.simplify()},lt.prototype={multiply:function(e){if(this.isOne())return e.clone();if(e.isOne())return this.clone();var t=this.clone();return t.num=t.num.multiply(e.num),t.den=t.den.multiply(e.den),t.simplify()},divide:function(e){if(e.equals(0))throw new Pe("Division by zero not allowed!");return this.clone().multiply(e.clone().invert()).simplify()},subtract:function(e){return this.clone().add(e.clone().neg())},neg:function(){return this.num=this.num.multiply(-1),this},add:function(e){var t=this.den,i=e.den,r=this.clone(),n=r.num,a=e.num;return t.equals(i)?r.num=n.add(a):(r.num=n.multiply(i).add(a.multiply(t)),r.den=t.multiply(i)),r.simplify()},mod:function(e){var t=this.clone(),i=e.clone();return t.num=t.num.multiply(i.den),t.den=t.den.multiply(i.den),i.num=i.num.multiply(this.den),i.den=i.den.multiply(this.den),t.num=t.num.mod(i.num),t.simplify()},simplify:function(){var e=r.gcd(this.num,this.den);return this.num=this.num.divide(e),this.den=this.den.divide(e),this},clone:function(){var e=new lt;return e.num=new r(this.num),e.den=new r(this.den),e},decimal:function(e){var t=this.num.isNegative()?"-":"";if(this.num.equals(this.den))return"1";e=e||u.PRECISION,e++;for(var i=[],r=this.num.abs(),n=this.den,a=0;a<e;a++){var o=r.divide(n),s=r.subtract(o.multiply(n));if(i.push(o),s.equals(0))break;r=s.times(10)}var l=i.shift();if(0===i.length)return t+l.toString();if(a===e){var c=[];for(a=0;a<2;a++)c.unshift(i.pop());i.push(Math.round(c.join(".")))}var h=l.toString()+"."+i.join("");return t+h},toDecimal:function(e){return 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this.isToNth(3)},isSimple:function(){return this.power.equals(1)&&this.multiplier.equals(1)},powSimp:function(){if(this.group===g){var e=[],t=this.multiplier.sign();this.each((function(t){var i=t.power;if(P(i)||i.equals(1))return this.clone();e.push(i)}));var r=new lt(de(e)),n=(t=this.multiplier.sign(),this.multiplier.clone().abs()),a=rt.ifactor(n),o=new lt(1),s=new lt(1);for(var l in a){var u=new lt(a[l]);u.lessThan(r)||(u=u.divide(r).subtract(new lt(1)),s=s.multiply(new lt(l))),o=o.multiply(i.parse(te(l)+"^"+te(u)).multiplier)}var c=new ut(s);this.each((function(e){e=e.clone(),e.power=e.power.divide(r),c=i.multiply(c,e)}));var h=i.symfunction(b,[c]);return h.power=r,h.multiplier=t<0?o.negate():o,h}return this.clone()},equals:function(e){return P(e)||(e=new ut(e)),this.value===e.value&&this.power.equals(e.power)&&this.multiplier.equals(e.multiplier)&&this.group===e.group},abs:function(){var e=this.clone();return e.multiplier.abs(),e},gt:function(e){return P(e)||(e=new 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this.group!==f&&this.group!==d||this.value!==e?this.group===g&&this.isLinear()?(r=new ut(1),this.each((function(t){t.contains(e,!0)||(r=i.multiply(r,t.clone()))})),r.multiplier=r.multiplier.multiply(this.multiplier)):this.group!==v||this.isLinear()?this.group===v&&this.isLinear()?(r=new ut(0),this.each((function(t){if(!t.contains(e)){var n=t.clone();n.multiplier=n.multiplier.multiply(this.multiplier),r=i.add(r,n)}})),r.equals(0)&&(r=new ut(this.multiplier))):r=this.group===p&&this.power.contains(e,!0)||this.group===m&&this.contains(e)?new ut(this.multiplier):this.clone():r=new ut(this.multiplier):r=new ut(t?0:this.multiplier),r},toArray:function(e,t){t=t||{arr:[],add:function(e,t){var r=this.arr[t];this.arr[t]=r?i.add(r,e):e}};var r=this.group;if(r===d&&this.contains(e))t.add(new ut(this.multiplier),this.power);else if(r===g){var n=this.stripVar(e),a=i.divide(this.clone(),n.clone()),o=a.isConstant()?0:a.power;t.add(n,o)}else if(r===f&&this.value===e)this.each((function(i,r){t.add(i.stripVar(e),r)}));else if(r===v)this.each((function(i){i.toArray(e,t)}));else{if(this.contains(e))throw new Ge("Cannot convert to array! Exiting");t.add(this.clone(),0)}t=t.arr;for(var s=0;s<t.length;s++)t[s]||(t[s]=new ut(0));return t},hasFunc:function(e){var t=this.group===m||this.group===p;if(t&&!e||t&&this.contains(e))return!0;if(this.symbols)for(var i in this.symbols)if(this.symbols[i].hasFunc(e))return!0;return!1},sub:function(e,t){e=P(e)?e.clone():i.parse(e),t=P(t)?t.clone():i.parse(t),e.group!==c&&e.group!==h||L("Cannot substitute a number. 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y=this.args[v];P(y)||(y=i.parse(y)),d.push(y.sub(e,t))}r=i.symfunction(this.fname,d)}if(r){if(!n){var b=this.group===p?this.power.sub(e,t):i.parse(this.power);r=i.pow(r,b)}return r.multiplier=r.multiplier.multiply(o),r}return this.clone()},isMonomial:function(){if(this.group===d)return!0;if(this.group!==g)return!1;for(var e in this.symbols)if(this.symbols[e].group!==d)return!1;return!0},isPi:function(){return this.group===d&&"pi"===this.value},sign:function(){return this.multiplier.sign()},isE:function(){return"e"===this.value},isSQRT:function(){return this.fname===w},isConstant:function(e,t){if(t&&this.group===g)for(var i in this.symbols)if(this.symbols[i].isConstant(!0))return!0;if("functions"===e&&this.isComposite()){var r=!0;return this.each((function(i){i.isConstant(e,t)||(r=!1)}),!0),r}if("all"===e&&(this.isPi()||this.isE()))return!0;if(e&&this.group===m){for(var n=0;n<this.args.length;n++)if(!this.args[n].isConstant(e))return!1;return!0}return e?Z(this):this.value===y},isImaginary:function(){if(this.imaginary)return!0;if(this.symbols)for(var e in this.symbols)if(this.symbols[e].isImaginary())return!0;return!1},realpart:function(){if(this.isConstant())return this.clone();if(this.imaginary)return new ut(0);if(this.isComposite()){var e=new ut(0);return this.each((function(t){e=i.add(e,t.realpart())})),e}return this.isImaginary()?new ut(0):this.clone()},imagpart:function(){if(this.group===d&&this.isImaginary())return new ut(this.multiplier);if(this.isComposite()){var e=new ut(0);return this.each((function(t){e=i.add(e,t.imagpart())})),e}return this.group===g?this.stripVar(u.IMAGINARY):new ut(0)},isInteger:function(){return this.isConstant()&&this.multiplier.isInteger()},isLinear:function(e){if(e){if(this.isConstant())return!0;if(this.group===d)return this.value!==e||this.power.equals(1);if(this.isComposite()&&this.power.equals(1)){for(var t in this.symbols)if(!this.symbols[t].isLinear(e))return!1;return!0}return!(this.group!==g||!this.symbols[e])&&this.symbols[e].isLinear(e)}return this.power.equals(1)},containsFunction:function(e){if("string"===typeof e&&(e=[e]),this.group===m&&-1!==e.indexOf(this.fname))return!0;if(this.symbols)for(var t in this.symbols)if(this.symbols[t].containsFunction(e))return!0;return!1},multiplyPower:function(e){if(this.group===c&&this.multiplier.equals(1))return this;var t=this.power;if(this.group!==p&&e.group===c){var r=e.multiplier;this.group!==c||r.isInteger()||this.convert(h),this.power=t.equals(1)?r.clone():t.multiply(r),this.group===h&&J(this.power)&&(this.value=Math.pow(this.value,this.power),this.toLinear(),this.convert(c))}else this.group!==p&&(t=new ut(t),this.convert(p)),this.power=i.multiply(t,e);return this},setPower:function(e,t){if(this.group===c&&this.multiplier.equals(1))return this;if(this.group!==p||P(e)){var i=!1;P(e)&&(e.group===c?e=e.multiplier:i=!0);var r=i?p:h;this.power=e,this.group===c&&r&&this.convert(r,t)}else this.group=this.previousGroup,delete this.previousGroup,this.group===c?(this.multiplier=new lt(this.value),this.value=y):this.power=e;return this},isInverse:function(){return this.group===p?this.power.multiplier.lessThan(0):this.power<0},clone:function(e){var t,i=e||new ut(0),r=["value","group","length","previousGroup","imaginary","fname","args","isInfinity","scientific"],n=r.length;if(this.symbols)for(var a in i.symbols={},this.symbols)i.symbols[a]=this.symbols[a].clone();for(t=0;t<n;t++)void 0!==this[r[t]]&&(i[r[t]]=this[r[t]]);return i.power=this.power.clone(),i.multiplier=this.multiplier.clone(),this.isConversion&&(i.isConversion=this.isConversion),this.isUnit&&(i.isUnit=this.isUnit),i},toUnitMultiplier:function(e){return this.multiplier.num=new r(this.multiplier.num.isNegative()&&e?-1:1),this.multiplier.den=new r(1),this},toLinear:function(){return this.power.equals(1)||this.setPower(new lt(1)),this},each:function(e,t){if(this.symbols)for(var i in this.symbols){var r=this.symbols[i];if(r.group===f&&t)for(var n in r.symbols)e.call(i,r.symbols[n],n);else e.call(this,r,i)}else e.call(this,this,this.value)},valueOf:function(){return this.group===c?this.multiplier.valueOf():0===this.power?1:0===this.multiplier?0:nt(this,"decimals")},contains:function(e,t){e=String(e);var i=this.group;if(this.value===e)return!0;if(this.symbols)for(var r in this.symbols)if(this.symbols[r].contains(e,t))return!0;if(i===m||this.previousGroup===m)for(var n=0;n<this.args.length;n++)if(this.args[n].contains(e,t))return!0;if(i===p){if(t&&this.power.contains(e,t))return!0;if(this.value===e)return!0}return this.value===e},negate:function(){return this.multiplier.negate(),this.group!==v&&this.group!==f||this.distributeMultiplier(),this},invert:function(e,t){return e||(this.multiplier=this.multiplier.invert()),P(this.power)?this.power.negate():this.group===g&&t?this.each((function(e){return e.invert()})):this.power&&this.group!==c&&this.power.negate(),this},distributeMultiplier:function(e){var t=e?this.power.absEquals(1):this.power.equals(1);if(this.symbols&&t&&this.group!==g&&!this.multiplier.equals(1)){for(var i in this.symbols){var r=this.symbols[i];r.multiplier=r.multiplier.multiply(this.multiplier),r.distributeMultiplier()}this.toUnitMultiplier()}return this},distributeExponent:function(){if(!this.power.equals(1)){var e=this.power;for(var t in this.symbols){var r=this.symbols[t];r.group===p?r.power=i.multiply(r.power,new ut(e)):this.symbols[t].power=this.symbols[t].power.multiply(e)}this.toLinear()}return this},convert:function(e,t){if(e>m){var i=this.clone();this.symbols={},e===g?i.toUnitMultiplier():this.toUnitMultiplier(),this.group===m&&(i.args=this.args,delete this.args,delete this.fname),this.isImgSymbol&&delete this.isImgSymbol,this.toLinear(),this.symbols[i.keyForGroup(e)]=i,this.group=e,this.length=1}else 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"},4424:function(e){"use strict";e.exports="data:font/woff2;base64,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"},9561:function(e,t,i){"use strict";e.exports=i.p+"fonts/KaTeX_Caligraphic-Regular.07ef19e7.ttf"},1775:function(e){"use strict";e.exports="data:font/woff;base64,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"},1851:function(e){"use 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"},4376:function(e,t,i){"use strict";e.exports=i.p+"fonts/KaTeX_Size2-Regular.d6b476ec.ttf"},3001:function(e){"use 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"},2834:function(e){"use strict";e.exports="data:font/woff2;base64,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"},6155:function(e){"use 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strict";e.exports="data:font/woff2;base64,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"},9735:function(e,t,i){"use strict";e.exports=i.p+"fonts/KaTeX_Size4-Regular.fbccdabe.ttf"},9965:function(e){"use strict";e.exports="data:font/woff;base64,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"},5142:function(e){"use 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"},7204:function(e,t,i){"use 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"},5697:function(e){"use 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"},2170:function(e,t,i){"use 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3/g0q/VBcvaLsPdR9RxJg6PNM/8c2lX5FsRLXzJrbnL7q2AIKzniqgusiPelOLOo4/rP268OJX5+GCqolPavCed2YEZwTxvv/v/V8oBfpPnPvdvO8g9VMV3yGScbSyvHjksNOxGealI8F/g/9g1J5n1kvhYE0J7PRbZZJ6IaMSFpY4rc6SQqGKERrlMuPUVk+3ovV3CvwxbzGrUcnkFxeab7qbMSlLIDRT4UXzP7HRTy+7S8K+KH5Asir+2by47RXG7W8QH/I+fi9HOXH9f1vHxPsiSmnIvSkKMOvEE5LV0Zd3Jx1vyTqSUnnrzkSl7ZlDicti23wzdvK3W8053v6xg1WLW9wo9ver0Z/8v+xjWrvlcXB0lJXDatVwfHMzZ/+ENDEUU72Mcre4ntnBn0ssQBhBpb5hsnB684Nf736B7/+z+mseEZoorc0z5jgdNJnI97Ejdy7VG8onB2gygVch2ZLGo3+flVcFnh/5qIwmYmPIPfIz8cpHok8+3/B5w2fxlGxEpvhY9phO5tdM/xhufyfbIKfiHexi59ajX1aw5wPFE3supy1o/kEbxlR2gSz2VSw60fTlcd2YGlGWXl1oLjyRNfqP/GMYe/vtx32C5KuKUhs/avXdV5eLbIx5Z/az3nh3RWs7M8K3lSq2pKbcsQivBpPETaMtLcPO25trA0JbEjjM+RYJRzudYK+z7StGZ4l+Ugy3tIyKm5OCeHXRS4ncVkWpjWZGW9urq32xo4GuYPz+C0yItpUqup/dKn9oX9rwLFb+4w7thiMMyZe08GneBq3Hh6K5eI3KZXmnSMbxl6esSFVc1sQHeaJTuUq9PFkw8/YeQL1mk0VHqhXNympWDqedIRj4aFfXkz9S2cpw9EPb8rrS66NmCTMDqmnpnp07Peltao+vRY3hrp3pHisM+FStwuwqwd2XLrz5ySHZSr0yvF750BOyHYyLkW7s8M1csCX2t6zC+weTL0Vilsz5Rpva9rjJblpHJ6svui76PNrvnrwfSel8psO2J6i4iwoHe68LbOEwJdnw0AuSAQ35JSAeqews297QzDzXTYXDtt3Sp1+88V2ixDIBaf2Ud1avWXOn1XXvdDg+2ndAHclscbWLwoyLefAQ3//rGKq/lwVusQrFA1Gzaen+igoLMWdIZDaZHy9Zh/OdfrjCJdlvxK/eVWUtHp22JDGuc6+tsLiEMAxIWF82UVJcaNvbGZe4xD9SbAXT9Z1Lrp3DAcUJhaGRTbmquPde3f2miqvJkiaD4hUQPLw+pK5y9rtzJKW/CSTklwAASwdHH97fxX/P/X+KF0c2A4AACGPmbIbQGW8LtZocUopbCnU5/gYLa4119HeEz8IBvaImdEBhcBKeRRTUKcMK6GIKGhKGyUQrCRDgv/PpOSlEJA5Dn7I+FDN3BAofjTkoir6E3qAOdmZtJ75tS+7KNihcnrQviyo8Ky3lfig8jEXwSqwuboOioolOpbTCJs8Dr5y8Y+sSgBWBsJWBEBKQYkROlWVRBKVTUQJYuDdKQrknoxRkBKIoDxyB5TitjoqJeRh+Lwt50bvg1KvPqJAu8y0QxtHyy0KzMKmVYtkSmKfNHJe5BkzQQzFt1yJz4YeFAaeKXc9I6CFglidFqInSiy528wpMs26japi0pLabY5oui82sGbTYoGBoFlKu9w8M7yNkc64vGiO/SgkO65RsfhhgTKcMUeHs1SCMBVMIwsrm8SYQjmBBsNmTPIfAt7OIUa4s6i/LwIt4K6WGt5RaN2+xBRYiRniZon9ilVWl3Tw3F4FPeDc7I4Bh0gS74iNHMAdoxRBsBHAVTebU8+reVxWLvaYTW+g+OYCAaUTmYXiXUJMDIoj00ycDEpBBBuIgFxnnoliVWpw26DPZ6eFkLZIY9tEVDWOEe/ufcbyGhF195fIJHueoodfzil2TbBFWQlgnLegbkKNWBvjrpxzhQmMU7SDZtz9Hg3K1pn0ChLyTHWDRMn0w9tdDFIhAzqqMzWyegIC34R0kkUIe0shHATJwCIVwEM5iFIrgCIqRRQlKUYZyjMYYVKASYzEO4zEBEzEJkzEFU/mDPV0mk920/3CuycKEu4KBuf/BZ1FR/NDqdr43FOodHuxjWPHX+su84wu+tkS3RXXJcNViNu1X7S25er7u1F3S3d5p0s26Rcvtnmsq0ot1u3S0dZm6F7qLtOLudpNJN+sWPW9HBVDzDk83t48jbuuI4NvFq1/Gge8YB9CxgYWvvg8AojjDNkgA10Mabmxqj9g2tsspILRz7xXAOgWuY+J4Jo/dL1gJSMVn+Vs0lLDmcWB19+LkI9TWccJKP/ECNLhWAAA="},3453:function(e){"use strict";e.exports="data:font/woff2;base64,d09GMgABAAAAABRYAA4AAAAALRQAABQBAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAABmAAgUQIDgmcDBEICqowoRYBNgIkA4EeC1IABCAFiQAHgiQMgRwbMycjEXZztMJT/OUBT8ZvqgIwIbZlhOVRe5/Y4TgOVm/26guMVEV+hCSzx9O2ft7ukikmSyhLL+AhNmAmWIHeF87oyyi4/NktATDObmBpQqkO0XGZSf5Woc5WoP4HGIc9v1xv0DrMVJGay0kidb3pvFxg18l2T0BGVkUSqOrh9sU0W9oBQkuW72GnqAI0AYKjV580ZSBCW8pFlbACq2yAdAEyoJ6MIAUl/9lF7aK+rhqdIUkCYlX6/79Wad/9VbUMdjlEHkgnwsaYP6+65tT/v5sDVcMNgz0nW9W7YeSeDhAqVnt8TjQeDyRJmMhNLDsdFyFcpM5yOPrRK2x+f6/1Zlt1xUpMECYMsfVK+7xHARg+gbYBAwDbgN0LAJukS0YfgiOAgVjjMoAfxPDtd/B8aodFfeBFlpk4OePRGqnFO0mArZ04iM1INxduUXJo0HIiAdGQQtbvIhtIRnYdFlrsGPY49i6OayXaBK1N+4iOZ/jKhJkIE3NmJgASxa4NPxHTilZv1j6oYxu+NME39+4i7w1bbTH4X8l/zv8E72Pv/f3e1++1vKd4M/N13eva1zWAQPzD1PAoQICn0Isi6/9g7G4d5sP3QPoy1Fs6kybwChb5P1sGpBrqibEWeAOo3RZUmLwDATI/c2BQq9aBQ+oLfObWiO8go6TkCzbT8SW1m2A8OBf4DsZOriFuz1usq4vJo+k8sG3xVjg7evBAQkx9K9Npxe0pcBtOY6vUrn6JiOEJBUOSk6T09J6qkVp48BYi+95SOsresAfzKFjwiHs/giVummaj9rahvHsejzzoeYtSoJhrqOippErQmsbTgxE5k2ZDwRBXJVmTCM2VhZvcQYrR0AAs4HMI3AfgYqms6JsoUmpTLvI/sQxx9/GPIWWMdY6gFGMcFF8KlFQfHQxITyAi1wKLOwGWe9jujbXGcu5gJl0mSgOFVXrR4UEnzSD4ZQDkaxFG2448dUpD/kc1Fbo3ILLdkHZM3otBo42C9yEkbdjxArojBwtw+KaFrmwTe2iOexXAfQYrz0DVsR1YbQcHQnk7Qg7/EVKKmxLePGoWUndyd1y0nDFhz7+244d4ux5PSb6r+0ZJAUJEkl6jK6ROeR6W87IQchlv2gLw0CW7PR0QgZUc+lnA7s5IyMOKXAhGpPtopL41auNr6xChYF1H9KmLDjHWGhFEXLPThAP3sccq3ENcdEhA3dTUlX+EVI2uQMIkTbcROUZaV4r1g1CIuhufIujouUyyym5Y31/njF0t2YJyFJjqHPpS2BhUeCQpAgQLX0QziLcJmlMBj51hTmItRPhmg/VeFLetmpsVSYPijjK66mhExAFi0NTbjZztkUzeYwGRaRdEYKdFqtuXTYGRAl1HBwGpe+khdI/AgdxL+qtaGJXJkRsj3nseSP6gQUWRDyQ2puUn0aFEgdk3jjgiEKkERvECpwRBUKJgUJJgUrJgUYpgk1pwOszQItwmzHz9IKhUoK9L5pgOi85wpf27ZuvwNPvvCiMxgihFWwEVV2uGXUUJDQxaGHQw6GFIhSENBgMMFAxGGEywsg0yN27JHk+ocukoazqZlSSPrXL7aGBPnxum7XBAZCAlLWme0uv7HsdpwwE5E6tSEfYd1d3t4WgXhs72wvsYa9KVpD2OLKdDvtBvn4UR2J8jz8cPSoS4tQRzlyC2U7igUyVdZyO+QtyQORlEEQCsHyBHBqo7cw5PhyKIQ1ODTBRM5p5JJQPAL5m+1WbDib9POUs4MTaC3Lce1dmbrx1ZAOaIcw8R2dWuX/hyAI9vThubi8w1Hrc22QWpllsITPcmLUL3jWWb3rtwQdikGTiQTS5Ff7utcimNzizQfqrHRbAY+JaXeDTdAsFUKwzmujZxuWySTre73TQMs8rMEJn285RRuOyDBXJ9HW6SmVZQ2leJFGFEBrup2wKRhSJC4dC7ne7CY0905DCyAhGBkQU6NzUwPLcAF+X3PffNpUznIdwhJfiW8ioeQyVzak3zulNgZCSEGdK+Vt/BJHK5uzXvlUz7yN9nPp00s6bT25zdHHhzpgMvVM1cSlA/jmHH7MUgc7EqtM680azVt+E9s7P/fgd72OwCF4Cs1G+0EGSnhty50o5g4+kgVUVW0HNUVIC5Kk1m/A9m+O4TwOPUV2O3VDrlJV6Mwu0J7/fykb1UDGqZI+Ob2TnndMrYqtnURrJU0gEbb7hRpZLcN7U655h2lQiUJWfP/nwLl7l/ozvC3V435X0VKKBcjoxUrASZiKruCuZ6KpX0G13BWb4a4zpHFROrQQtSXFArlOpGIUG9UN2ARIloZKDAKCQICo034QIECjKaLaWW0UjQaqluQwsk2oWKDqGiU6ju8owi0Y0j0YMj0YsjHUKiVPThFEz9rppmW8jcQQ6F1gDLFB6NABELmTnAgEEL0dBoBBi20MIRSwxy8mhGVbmol7HH4NPjqXcn8PsT7SRCjohOOsiachBNbw65rjHXzsU8O9fMB/eABd6BFjqIFjlILb6G52GJnYeldh6W2XlY7gGtcBCtdJBa5YfnY7WdjzV2Ptba+VjnAa13EG1wUHmj5Rrv/W0kyky8RmD0/pt1mkRNS4vfHGX3R3F97bx79m1YAQGamUkEYhRlRK07mAWYVwA4GSBGsWEMBvuF5hsNgCZigK8TmogDox4GiCDiE4VsEbu2Qka7ahqVlZwPq2hRyFOS7Q7mNhNUKWphCl8svJdsqVgidbhuzAzcHreLcFt0QhDkXOSgjC/E2ABB3hh3ts0D+0wiM4yLIiyA4GyAlIUZv9P+/s1vjbHbXoKylWf4RSCaiN6WYIAqGJwQSDHbwmyGU2qaE8UVBHFygiDFXFR/KopYHde3Vmbcx1lfHkvoeQbXl+bztRnGFNDkg1F5QAIBcqJBHvxCCC1CQU0oQFgGXp1uDCDXldJfZ1eqydaEdV+uZgt4oUsD0Qu2fLJKBy3V8nkq/Hc/NLvAn/dzP5/LmYte61N/KnLsObfGPj8JjqirSD0FU39j5jUqnkDKuSM4LT6cXkw3OI1/n5tlnBtKZ+U5UiteWuNmWKSCX2ZpTYhlbK5f6w9bWj9PxisFxqAEZ87JO5fabVNtu/7aiI8Qgj2B0cXuu0erKB97a7uycklJsq5dw1rxJEXMRS76aXeJ3qOGHBf4zEwf+/j1iVgHwdHHmYWSL/zax3eYdC7az2SS4bS3aJqkEbJ93PbqqHF2zNjvF264FF5ovbBNLDP0VWz4/7GPr+zwT/2xn+O0GCzeQOo1KFcya2sMKfJCkKfcxa3ww3LRN0i5AfJtnL5q5Vf7GIWlZdcQBhq+r1tywfrvCyEeeEE+gd+vzBzWVJ+pkmLxZey/w4Wo39nGLuw/6aThPUdq1if5oKroXYTDU97we2SkiX4mJ9UcSO+PHLynOKuIV5DqYy9fZk2k2lvAs9YJqdleb9NMTSJfl03vhuqrQBCtrftcEZAERVh8umrFpvt6/it/yP3u297PnEMqyPNAt1nc8gXuY59kr+P01d7G+3RSUh1TkKaAN15vEc2fJZE9+BypEc6td1Hdbb5/W1IGqJLAcgUlQglXMHj5kpVgDLdciBs4NQSU55MmbdoE1kj1cZu3Kcvhli3y/Hlmx3LUDCzWWaKTlwN2b3rsrfqBmuGu3xx9/1Z3WaSGUcgDg9IvJoiD/EzwUJ6P3EH5P/7wX+AfpL7qYy0+7G3t0QfT8rNBFYjykZcQa1c+A6G18FocPd2+9BgAJuvCyiKnZKnUjvd24t6PG2HKTKTxJ6AIwziWc9xBt18temdS2JHa+DexT3RyedhBsS9d+v5UD2X01mkXqZvAn7QIX4zpqM3+zoK/z8azPADpvONXgRimkfoJISCqdRDUIUT+D+sdspegfJ1nGEOZdKy2a9e9/YPug97AM6oQfh5vCYDqMF3a/VIfKP0oJ33v3yI4hVpqQ0MOZ8wJ9AYPJPUH9/5N7Xbd/eEHrnsbnC/fSArgxHMv/vGaesYro54DLH2cPSEQYMd89P6TEQhDbLhPlub/7zXNnx/cB1VXdUoe9fobWqNkIy69+ZThg3XAYn3hugHM4zdc8NOoKk5s1FGvv01wv+fxW7QzWwNEVLi+mPx/DLT7gEBw/VpeygTNgefhp4SSYU3jgHOHW5WxY8CpaRwuTYAf9ZlwIBdD8so2z7nTYzxhQCjQj3d+XuwQFsfDj6Z82GwFpGyK+Kj6HTcP5CZPIbDanG+CHxKExcWOzzvH9QJgTUZEhSLBo6+9X+uWlhb9+BWTWVB8oWSlni/Qr/x/Z9DLbWF+9WORtLTW/f5rjwqEASHH47zucNfU7uDDm4kxq/fK5o9PrhyjLcXmrTQHnoOfmDtqat2O604P/HIX+mIVjp3AsVeKIZj85awXP4GhR2f9VQD2DwlVyJ1zfxv5Wyytuibp0T/IerHYULrUETStsVTZ+bf8HeRnGhe4xnDdK3e9Ad3+SPypDGnjGq77Rzd3cXwFdfu3dmg9HQld3LyhM6PQ5s6VioZO+7EZY/94Gm293+5U/+vAH7mhaW3NXPO8uuIjPTVE1TW7Rgqe4WM20M+fn6dAuKgFvXJeso5ZJtmhq+8pz6FSs09mHmiG1lQdC5Olxa3e5y3l2BDyNW973FPFGRQqIHc2mcmXagjN5zeUsyV8eUH6PcfMH8l/XyvZPJqZfdpn3NrAFH2Sdux/OPOpuUrq1CU8+K42/a/E5aY/WiSrVYoGZZ11lbP2M5balesjk15KjJtRVap02r2ar6QM8Z9kK9lieDp5u+pAl34pUi9R+PUjdz3vteYVqJNenPgZuv4NJ4oL+BfwDwu3UCEIuipTy63+hvVTtejHwXw/g7sxsNS41rLL6QtRJLu3hxU3rnk6Y38FUZHaYi2qa7D6PxzyWplZF7Yc2GeB95dUfLg0HL9U2ipn6G++5q2JBb1BWbDK2Y6SSdVKq2nNkhIFM/leQaV1KH659t1F8Kf8ovZ+fokafL/bZZcVKW9Lnyp6ugzFN27XPZ0if1bOwqmkWUrZneqkN6RJgUQlBvjEKtkVhfqpDNWr8/viJ3ehr5IVl2UsTDkUkT6RlPyV1PZ9ozBiQB5uKtOj20QjjWXu7sOC5kqot/QdJ29pT9P4vQ9wONs+efVUWVH8kGHDddYI54F7cfq09haJPwFPcOMe3jq9dADwlVvVZ6SSmzMqX+vgKDvxKLktaRXlW3aURpxzLZ8GeIfqj3SF5Wv8Jh4JE9Sub82rV3+otesUN7ty/7cu+CdQjEv/wcPIvzB25eBEQuFKkeD7eNa1qKGn85NA4NoTvcrivs8TnexLTRRGrrgzHFZDrg8GxS5eu67kvMgTD8KtO2/cEN64iV4/GGR8jr5qyz62QhB2vDN78K2ynacnU0fy79q54NCKJ+LTR/XX4pTPV+zevtm7FhxZFSw65rI3RJWrxxZGsk4mt3Ufrd5UsvCXE0cEkuQkxxCn29JvO3zaGDYPT5w9JV5cMV2sKqf8lENjoD5ntebzRQrPn5sfBg3Y9eaY4R9Wyv1VfCTbppMQtQaZDGGIhfMXLXyzt3xZp2TX/oZthspXhS6KN+tRXsxQG+G0m4M7O7bwiqtibyDjj57hr+raSASbIpGHxFAPExuXt6UUL1uOYcyFv/ivoY9Ub9qxc5xYvszx8OKNqKkpPL4bWv8JbGC+ojlw8Msv0YqVCJv117zKPQKHx7FbsKDyr9Saetkf6bKf0d6kscFweJD8OSJRX3pczSIV4UiQV/pVUvJbpbxgJKwgWerHL6klkZ9JNPt3TWvw6Sn91LS/+qdpubykE6ZX29dsXwzTgxL2Og5/7n3mKXh7QXMGRBKtb7O9de7eLlHOb2wR/uWkZ1Hu8IPS/fwr+/cE615GLQCwATOVoux1QWvUoxnx/yJW71oMGPwNThiJqujvIhaAG/e2dSEzeAJvwocE7gFx8CDMBUZW8C9nWknk/pWFWSrif/AUI6cgoxsdCVogI5zjR0Q9rmI/mmBmUAwfZsRSGIJRPy8Q+QI8jJbVJT2Lch8wvNho8yCAkA9i2xwYhwMiOJ5OeIq5CJROzMVACHfOxaHY43MJSAvw5zLAH3Duk9k6V4DNRpOvpBDSQ29DgRGj5hsXdocBk0iUECOSE42WySorR1iUVKjfhIEaLmiQAf0qBKsWpDI4cTZc99Md0uFRFUrT4xq+sEdf7R8yX4WAxlU269IgbEG/U73+cE9TBvUYV2zEsElJjXdNvydjo31CspCO9sO63CuwKiiZcSaskdDBBlQ2VZOHmq1UUyEcMXCkhmM309irpoeNi5H5g8qyZGetOeY+9dsM6QnhgAhpn8fG0N8kj7FEu+U3NQe7r57Frv2HFly9CZMzJL9mglU1DTv7kOVcJqlaj6E9VEKutFYuNLK97wlz1UAxW809MJ4icWqQmBB7mEAfpkwfCUPSMv0uwjKVobXGqMGu3O+70g0se6AmkjZ6u++9n9Rj2ptwVU3sNbhPkhnT47fVp05RnZSFW6Rw0qhX9rd1Qqh4UlST0dgoZAa5vurb1ShWaVjAQGzszMqc0tRfM993wAM+SOXJ59WpO4DBm/AWwhEBBxAD9sNpOISYiIXYiIO4iIf4SICESITESIKkSIbkSIGUKI41NRymaR8tXbuLdnImw4N9/f8Zk9UVp9NBw1hngVNoF40toB2H47RcU120x8l0fJZ/akaRx8qc6qNpx+E4nfR7c0PFEzxZ3xxDaEtLFP0sucNRDFj+GIAJ1so9510AwFtK2AAHKLzWo3V1zVHvumYl9Qmq5U42zFmv1E6MGZaRu9nLABHqzUKNzSxuOQZC051oZvWIzTGsU3vL6GNCYRUA"},6326:function(e){"use strict";e.exports="data:font/woff2;base64,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"},8975:function(e){"use 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Date.now().toString(36).slice(-2)+Math.floor(1e5*Math.random()).toString(36);const e=this.atomIdsSettings.seed.toString(36);return this.atomIdsSettings.seed+=1,e}scale(e){return e*this.effectiveFontSize}get scalingFactor(){return this.parent?this.effectiveFontSize/this.parent.effectiveFontSize:1}get isDisplayStyle(){return this.mathstyle.id===Rl||this.mathstyle.id===Fl}get isCramped(){return this.mathstyle.cramped}get isTight(){return this.mathstyle.isTight}get effectiveFontSize(){return Il[Math.max(1,this.size+this.mathstyle.sizeDelta)]}get computedColor(){let e=this.color,t=this.parent;return!e&&t&&(e=t.color,t=t.parent),null!==e&&void 0!==e?e:""}get computedBackgroundColor(){let e=this.backgroundColor,t=this.parent;return!e&&t&&(e=t.backgroundColor,t=t.parent),null!==e&&void 0!==e?e:""}get metrics(){return this.mathstyle.metrics}}const 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style="${i}"`)}return this.attributes&&(e+=" "+Object.keys(this.attributes).map((e=>`${e}="${this.attributes[e]}"`)).join(" ")),i.length>0&&(e+=` class="${i}"`),e+=` style="display: inline-block; width:${this.element.clientWidth}px; height:${this.element.clientHeight}px; "`,`<span ${e}></span>`}}const ic=["above","body","below","superscript","subscript"];function rc(e){return"string"===typeof e&&ic.includes(e)}function nc(e){return void 0!==e&&Array.isArray(e)&&2===e.length}class ac{constructor(e,t,i){var r,n,a,o,s,l;this.id=void 0,this.verbatimLatex=void 0,this._isDirty=!1,this._changeCounter=0,this.subsupPlacement=void 0,this.explicitSubsupPlacement=!1,this.skipBoundary=!1,this.captureSelection=!1,this.type=e,this.context=t,"string"===typeof(null===i||void 0===i?void 0:i.value)&&(this.value=i.value),this.command=null!==(n=null!==(r=null===i||void 0===i?void 0:i.command)&&void 0!==r?r:this.value)&&void 0!==n?n:"",this.mode=null!==(a=null===i||void 0===i?void 0:i.mode)&&void 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0:a.fontSize}),i=lc(t,u,{newList:l});i&&(l=!1,s.push(i))}return 0===s.length?null:1!==s.length||(null===i||void 0===i?void 0:i.classes)||(null===i||void 0===i?void 0:i.type)?new zu(s,{classes:null===i||void 0===i?void 0:i.classes,type:null===i||void 0===i?void 0:i.type,newList:null===i||void 0===i?void 0:i.newList}).wrap(e):s[0].wrap(e)}static serialize(e,t){return vs(e)?oc(e,t):"number"===typeof e||"boolean"===typeof e?e.toString():"string"===typeof e?e.replace(/\s/g,"~"):void 0===e?"":t.expandMacro||"string"!==typeof e.verbatimLatex?e.command&&ac.customSerializer[e.command]?ac.customSerializer[e.command](e,t):e.serialize(t):e.verbatimLatex}static commonAncestor(e,t){if(e===t)return e.parent;if(e.parent===t.parent)return e.parent;const i=new WeakSet;let{parent:r}=e;while(r)i.add(r),r=r.parent;r=t.parent;while(r){if(i.has(r))return r;r=r.parent}console.assert(Boolean(r))}static fromJson(e,t){const i=new ac(e.type,t,e);for(const r of ic)e[r]&&i.setChildren(e[r],r);return i}toJson(){const e={type:this.type};if("math"!==this.mode&&(e.mode=this.mode),this.command&&this.command!==this.value&&(e.command=this.command),void 0!==this.value&&(e.value=this.value),this.style&&Object.keys(this.style).length>0&&(e.style={...this.style}),void 0!==this.verbatimLatex&&(e.verbatimLatex=this.verbatimLatex),this.subsupPlacement&&(e.subsupPlacement=this.subsupPlacement),this.explicitSubsupPlacement&&(e.explicitSubsupPlacement=!0),this.isFunction&&(e.isFunction=!0),this.displayContainsHighlight&&(e.displayContainsHighlight=!0),this.isExtensibleSymbol&&(e.isExtensibleSymbol=!0),this.skipBoundary&&(e.skipBoundary=!0),this.captureSelection&&(e.captureSelection=!0),this._branches)for(const t of Object.keys(this._branches))this._branches[t]&&(e[t]=this._branches[t].filter((e=>"first"!==e.type)).map((e=>e.toJson())));return e}get changeCounter(){return this._changeCounter}get isDirty(){return this._isDirty}set isDirty(e){if(this._isDirty=e,e){this._changeCounter++,this.verbatimLatex=void 0,this._children=void 0;let{parent:e}=this;while(e)e._isDirty=!0,e._changeCounter++,e.verbatimLatex=void 0,e._children=void 0,e=e.parent}}serialize(e){var t;return this.body&&this.command?$u([this.command,"{",this.bodyToLatex(e),"}",this.supsubToLatex(e)]):this.body?$u([this.bodyToLatex(e),this.supsubToLatex(e)]):this.value&&"​"!==this.value?null!==(t=this.command)&&void 0!==t?t:Hs(this.mode,this.value):""}bodyToLatex(e){return oc(this.body,e)}aboveToLatex(e){return oc(this.above,e)}belowToLatex(e){return oc(this.below,e)}supsubToLatex(e){let t="";if(void 0!==this.branch("subscript")){const i=oc(this.subscript,e);0===i.length?t+="_{}":1===i.length?t+="_"+i:t+=`_{${i}}`}if(void 0!==this.branch("superscript")){const i=oc(this.superscript,e);0===i.length?t+="^{}":1===i.length?t+="′"===i?"^\\prime ":"″"===i?"^\\doubleprime ":"^"+i:t+=`^{${i}}`}return t}get treeDepth(){let e=1,t=this.parent;while(t)t=t.parent,e+=1;return e}get inCaptureSelection(){let e=!1,t=this;while(t){if(t.captureSelection){e=!0;break}t=t.parent}return e}branch(e){if(rc(e)&&this._branches)return this._branches[e]}get branches(){if(!this._branches)return[];const e=[];for(const t of ic)this._branches[t]&&e.push(t);return e}createBranch(e){return console.assert(rc(e)),rc(e)?(this._branches?this._branches[e]||(this._branches[e]=[this.makeFirstAtom(e)]):this._branches={[e]:[this.makeFirstAtom(e)]},this.isDirty=!0,this._branches[e]):[]}get row(){return nc(this.treeBranch)?this.treeBranch[0]:-1}get col(){return nc(this.treeBranch)?this.treeBranch[1]:-1}get body(){var e;return null===(e=this._branches)||void 0===e?void 0:e.body}set body(e){this.setChildren(e,"body")}get superscript(){var e;return null===(e=this._branches)||void 0===e?void 0:e.superscript}set superscript(e){this.setChildren(e,"superscript")}get subscript(){var e;return null===(e=this._branches)||void 0===e?void 0:e.subscript}set subscript(e){this.setChildren(e,"subscript")}get above(){var e;return null===(e=this._branches)||void 0===e?void 0:e.above}set above(e){this.setChildren(e,"above")}get below(){var e;return null===(e=this._branches)||void 0===e?void 0:e.below}set below(e){this.setChildren(e,"below")}get computedStyle(){var e;if(!this.parent)return{...null!==(e=this.style)&&void 0!==e?e:{}};const t=void 0!==this.style.verbatimColor,i=void 0!==this.style.verbatimBackgroundColor,r={...this.parent.computedStyle,...this.style};return delete r.variant,delete r.variantStyle,i||delete r.verbatimBackgroundColor,t||delete r.verbatimColor,r}applyStyle(e){this.isDirty=!0,this.style={...this.style,...e},"none"===this.style.fontFamily&&delete this.style.fontFamily,"auto"===this.style.fontShape&&delete this.style.fontShape,"auto"===this.style.fontSeries&&delete this.style.fontSeries,"none"===this.style.color&&(delete this.style.color,delete this.style.verbatimColor),"none"===this.style.backgroundColor&&(delete this.style.backgroundColor,delete this.style.verbatimBackgroundColor),"auto"===this.style.fontSize&&delete this.style.fontSize;for(const t of this.children)t.applyStyle(e)}getInitialBaseElement(){var e;let t;return this.hasEmptyBranch("body")||(console.assert("first"===(null===(e=this.body)||void 0===e?void 0:e[0].type)),t=this.body[1].getInitialBaseElement()),null!==t&&void 0!==t?t:this}getFinalBaseElement(){return this.hasEmptyBranch("body")?this:this.body[this.body.length-1].getFinalBaseElement()}isCharacterBox(){const e=this.getInitialBaseElement();return/mord/.test(e.type)}hasEmptyBranch(e){const t=this.branch(e);return!t||(console.assert(t.length>0),console.assert("first"===t[0].type),1===t.length)}setChildren(e,t){var i;if(!e)return;if(console.assert(rc(t)),!rc(t))return;console.assert("first"!==(null===(i=e[0])||void 0===i?void 0:i.type));const r=[this.makeFirstAtom(t),...e];this._branches?this._branches[t]=r:this._branches={[t]:r};for(const n of e)n.parent=this,n.treeBranch=t;this.isDirty=!0}makeFirstAtom(e){const t=new ac("first",this.context,{mode:this.mode});return t.parent=this,t.treeBranch=e,t}addChild(e,t){console.assert("first"!==e.type),this.createBranch(t).push(e),this.isDirty=!0,e.parent=this,e.treeBranch=t}addChildBefore(e,t){console.assert(void 0!==t.treeBranch);const i=this.createBranch(t.treeBranch);i.splice(i.indexOf(t),0,e),this.isDirty=!0,e.parent=this,e.treeBranch=t.treeBranch}addChildAfter(e,t){console.assert(void 0!==t.treeBranch);const i=this.createBranch(t.treeBranch);i.splice(i.indexOf(t)+1,0,e),this.isDirty=!0,e.parent=this,e.treeBranch=t.treeBranch}addChildren(e,t){for(const i of e)this.addChild(i,t)}addChildrenAfter(e,t){console.assert(0===e.length||"first"!==e[0].type),console.assert(void 0!==t.treeBranch);const i=this.createBranch(t.treeBranch);i.splice(i.indexOf(t)+1,0,...e),this.isDirty=!0;for(const r of e)r.parent=this,r.treeBranch=t.treeBranch;return e[e.length-1]}removeBranch(e){const t=this.branch(e);if(rc(e)&&(this._branches[e]=void 0),!t)return[];for(const i of t)i.parent=void 0,i.treeBranch=void 0;return console.assert("first"===t[0].type),t.shift(),this.isDirty=!0,t}removeChild(e){if(console.assert(e.parent===this),"first"===e.type)return;const t=this.branch(e.treeBranch),i=t.indexOf(e);console.assert(i>=0),t.splice(i,1),this.isDirty=!0,e.parent=void 0,e.treeBranch=void 0}get siblings(){return"root"===this.type?[]:this.parent.branch(this.treeBranch)}get firstSibling(){return this.siblings[0]}get lastSibling(){const{siblings:e}=this;return e[e.length-1]}get isFirstSibling(){return this===this.firstSibling}get isLastSibling(){return this===this.lastSibling}get hasNoSiblings(){return 1===this.siblings.length}get leftSibling(){console.assert(void 0!==this.parent);const e=this.parent.branch(this.treeBranch);return e[e.indexOf(this)-1]}get rightSibling(){console.assert(void 0!==this.parent);const e=this.parent.branch(this.treeBranch);return e[e.indexOf(this)+1]}get hasChildren(){return this._branches&&this.children.length>0}get firstChild(){return console.assert(this.hasChildren),this.children[0]}get lastChild(){console.assert(this.hasChildren);const{children:e}=this;return e[e.length-1]}get children(){if(this._children)return this._children;if(!this._branches)return[];const e=[];for(const t of ic)if(this._branches[t])for(const i of this._branches[t])e.push(...i.children),e.push(i);return this._children=e,e}render(e,t){if("first"===this.type&&!e.atomIdsSettings)return null;const i=new Jl(e,this.style);let r="";"root"===this.type&&(r+=" ML__base"),this.isSelected&&(r+=" ML__selected");let n=this.createBox(i,{classes:r,newList:!0===(null===t||void 0===t?void 0:t.newList)||"first"===this.type});return n?(this.subsupPlacement||!this.superscript&&!this.subscript||(n=this.attachSupsub(i,{base:n})),n.wrap(i)):null}attachSupsub(e,t){var i,r;const n=t.base,a=this.superscript,o=this.subscript;if(!a&&!o)return n;let s=null,l=null;const u=null!==(i=t.isCharacterBox)&&void 0!==i?i:this.isCharacterBox();let c=0;if(a){const t=new Jl(e,void 0,"superscript");s=ac.createBox(t,a,{newList:!0}),u||(c=n.height-e.metrics.supDrop*t.scalingFactor)}let h,d=0;if(o){const t=new Jl(e,void 0,"subscript");l=ac.createBox(t,o,{newList:!0}),u||(d=n.depth+e.metrics.subDrop*t.scalingFactor)}h=e.isDisplayStyle?e.metrics.sup1:e.isCramped?e.metrics.sup3:e.metrics.sup2;const p=.5/Cl/e.scalingFactor;let m=null;if(l&&s){c=Math.max(c,h,s.depth+.25*e.metrics.xHeight),d=Math.max(d,e.metrics.sub2);const t=e.metrics.defaultRuleThickness;if(c-s.depth-(l.height-d)<4*t){d=4*t-(c-s.depth)+l.height;const i=.8*e.metrics.xHeight-(c-s.depth);i>0&&(c+=i,d-=i)}const i=this.isExtensibleSymbol&&n.italic?-n.italic:0;m=new 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ML__selected":"")});return this.caret&&(f.caret=this.caret),new zu([n,f],{type:t.type})}attachLimits(e,t){var i;const r=this.superscript?ac.createBox(new Jl(e,this.style,"superscript"),this.superscript,{newList:!0}):null,n=this.subscript?ac.createBox(new Jl(e,this.style,"subscript"),this.subscript,{newList:!0}):null;return r||n?Vu(e,{...t,above:r,below:n,type:null!==(i=null===t||void 0===t?void 0:t.type)&&void 0!==i?i:"mop"}):t.base.wrap(e)}bind(e,t){if(!t||e.isPhantom||"​"===this.value)return t;let i=this.parent;while(i&&!i.captureSelection)i=i.parent;return(null===i||void 0===i?void 0:i.captureSelection)||(this.id||(this.id=e.makeID()),t.atomID=this.id),t}createMathfieldBox(e,t){var i;const r="mathfield",n=null!==(i=null===t||void 0===t?void 0:t.classes)&&void 0!==i?i:"",a=new 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0:i.mathstyleName,this.latexOpen=null===i||void 0===i?void 0:i.latexOpen,this.latexClose=null===i||void 0===i?void 0:i.latexClose,this.cssId=null===i||void 0===i?void 0:i.cssId,this.htmlData=null===i||void 0===i?void 0:i.htmlData,this.htmlStyle=null===i||void 0===i?void 0:i.htmlStyle,this.customClass=null===i||void 0===i?void 0:i.customClass,this.boxType=null===i||void 0===i?void 0:i.boxType,this.skipBoundary=!0,this.captureSelection=null!==(n=null===i||void 0===i?void 0:i.captureSelection)&&void 0!==n&&n,this.changeMode=null!==(a=null===i||void 0===i?void 0:i.changeMode)&&void 0!==a&&a,this.displayContainsHighlight=!1,e&&1===e.length&&","===e[0].command&&(this.captureSelection=!0)}static fromJson(e,t){return new uc(e.body,t,e)}toJson(){const e={};return this.mathstyleName&&(e.mathstyleName=this.mathstyleName),this.latexOpen&&(e.latexOpen=this.latexOpen),this.latexClose&&(e.latexClose=this.latexClose),this.cssId&&(e.cssId=this.cssId),this.htmlData&&(e.htmlData=this.htmlData),this.htmlStyle&&(e.htmlStyle=this.htmlStyle),this.customClass&&(e.customClass=this.customClass),this.boxType&&(e.boxType=this.boxType),this.captureSelection&&(e.captureSelection=!0),this.changeMode&&(e.changeMode=!0),{...super.toJson(),...e}}render(e){const t=new Jl(e,this.style,this.mathstyleName),i=ac.createBox(t,this.body,{type:this.boxType,classes:this.customClass,mode:this.mode,style:{backgroundColor:this.style.backgroundColor},newList:!this.boxType});return i?(this.cssId&&(i.cssId=this.cssId),this.htmlData&&(i.htmlData=this.htmlData),this.htmlStyle&&(i.htmlStyle=this.htmlStyle),this.caret&&(i.caret=this.caret),this.bind(e,i)):null}serialize(e){let t=this.bodyToLatex(e);return"string"===typeof this.latexOpen&&(t=this.latexOpen+t+this.latexClose),this.htmlData&&(t=`\\htmlData{${this.htmlData}}{${t}}`),this.htmlStyle&&(t=`\\htmlStyle{${this.htmlStyle}}{${t}}`),this.customClass&&(t=`\\class{${this.customClass}}{${t}}`),this.cssId&&(t=`\\cssId{${this.cssId}}{${t}}`),t}}class cc extends ac{constructor(e,t,i,r){super("spacing",i,{command:e,style:t}),this.width=r}static fromJson(e,t){return new cc(e.command,e.style,t,e.width)}toJson(){const e={};return this.width&&(e.width=this.width),{...super.toJson(),...e}}render(e){var t;let i;if(this.width)i=new zu(null,{classes:"mspace"}),i.left=Yl(this.width);else{const e=null!==(t={"\\qquad":"qquad","\\quad":"quad","\\enspace":"enspace","\\;":"thickspace","\\:":"mediumspace","\\,":"thinspace","\\!":"negativethinspace"}[this.command])&&void 0!==t?t:"mediumspace";i=new zu(null,{classes:e})}return i=this.bind(e,i),this.caret&&(i.caret=this.caret),i}serialize(e){var t;let i=null!==(t=this.command)&&void 0!==t?t:"";return"\\hspace"===this.command||"\\hspace*"===this.command?Number.isFinite(this.width)?i+=`{${this.width}em'}`:i+="{0pt}":Number.isFinite(this.width)&&(i+=` ${this.width}em`),i}}const hc={"(":")","{":"}","[":"]","|":"|","\\lbrace":"\\rbrace","\\lparen":"\\rparen","\\{":"\\}","\\langle":"\\rangle","\\lfloor":"\\rfloor","\\lceil":"\\rceil","\\vert":"\\vert","\\lvert":"\\rvert","\\Vert":"\\Vert","\\lVert":"\\rVert","\\lbrack":"\\rbrack","\\ulcorner":"\\urcorner","\\llcorner":"\\lrcorner","\\lgroup":"\\rgroup","\\lmoustache":"\\rmoustache"},dc=Object.fromEntries(Object.entries(hc).map((([e,t])=>[t,e])));function pc(e){var t;return 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h=Ol(o,c),d=h.height+h.depth,p=Ol(l,c),m=p.height+p.depth,f=Ol(u,c),g=f.height+f.depth;let v=0,y=1;if(null!==s){const e=Ol(s,c);v=e.height+e.depth,y=2}const b=d+g+v,w=Math.max(0,Math.ceil((t-b)/(y*m))),x=b+w*y*m;let A=El;i&&(A*=r.scalingFactor);const k=x/2-A,S=.008,M=[];M.push({box:new zu(u,{fontFamily:c})}),M.push(-S);const N=new zu(l,{fontFamily:c});if(null===s)for(let E=0;E<w;E++)M.push({box:N});else{for(let e=0;e<w;e++)M.push({box:N});M.push(-S),M.push({box:new zu(s,{fontFamily:c})}),M.push(-S);for(let e=0;e<w;e++)M.push({box:N})}M.push(-S),M.push({box:new zu(o,{fontFamily:c})});let z="";"Size1-Regular"===c?z=" delim-size1":"Size4-Regular"===c&&(z=" delim-size4");const L=new Pu({bottom:k,children:M},{classes:z}),C=new zu(L,{...null!==n&&void 0!==n?n:{},classes:(null!==(a=null===n||void 0===n?void 0:n.classes)&&void 0!==a?a:"")+" ML__delim-mult"});return C}const vc=new 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Ac=[{type:"small",mathstyle:"scriptscriptstyle"},{type:"small",mathstyle:"scriptstyle"},{type:"small",mathstyle:"textstyle"},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4}],kc=[{type:"small",mathstyle:"scriptscriptstyle"},{type:"small",mathstyle:"scriptscriptstyle"},{type:"small",mathstyle:"textstyle"},{type:"stack"}],Sc=[{type:"small",mathstyle:"scriptscriptstyle"},{type:"small",mathstyle:"scriptstyle"},{type:"small",mathstyle:"textstyle"},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4},{type:"stack"}];function Mc(e){return"small"===e.type?"Main-Regular":"large"===e.type?"Size"+e.size+"-Regular":(console.assert("stack"===e.type),"Size4-Regular")}function Nc(e,t,i,r){const n={"-4":0,"-3":1,0:2}[r.mathstyle.sizeDelta];for(let a=n;a<i.length;a++){if("stack"===i[a].type)break;const n=Ol(e,Mc(i[a]));if(n.defaultMetrics)return{type:"small",mathstyle:"scriptstyle"};let o=n.height+n.depth;if("small"===i[a].type&&("scriptscriptstyle"===i[a].mathstyle?o*=Il[Math.max(1,r.size-2)]:"scriptstyle"===i[a].mathstyle&&(o*=Il[Math.max(1,r.size-1)])),o>t)return i[a]}return i[i.length-1]}function zc(e,t,i,r,n,a){var o;if(!t||0===t.length||"."===t)return Cc(n,e,e);let s;"<"===t||"\\lt"===t?t="\\langle":">"!==t&&"\\gt"!==t||(t="\\rangle"),s=bc.has(t)?Ac:vc.has(t)?Sc:kc;const l=Nc(pc(t),i,s,n),u=new Jl(n,null===a||void 0===a?void 0:a.style,l.mathstyle);return"small"===l.type?mc(t,u,r,{type:e,classes:"ML__small-delim "+(null!==(o=null===a||void 0===a?void 0:a.classes)&&void 0!==o?o:"")}):"large"===l.type?fc(t,l.size,r,u,{...a,type:e}):(console.assert("stack"===l.type),gc(t,i,r,u,{...a,type:e}))}function Lc(e,t,i,r,n,a){if("."===t)return Cc(n,e,null===a||void 0===a?void 0:a.classes);const o=El*n.scalingFactor,s=901,l=5/Cl,u=Math.max(i-o,r+o),c=Math.max(u/500*s,2*u-l);return zc(e,t,c,!0,n,a)}function Cc(e,t,i){const r=new Jl(e,void 0,"textstyle");return new zu(null,{classes:" nulldelimiter "+(null!==i&&void 0!==i?i:""),type:t}).wrap(r)}class Ec extends ac{constructor(e,t,i,r){super("leftright",i,{style:r.style,displayContainsHighlight:!0}),this.variant=e,this.body=t,this.leftDelim=r.leftDelim,this.rightDelim=r.rightDelim}static fromJson(e,t){var i;return new Ec(null!==(i=e.variant)&&void 0!==i?i:"",e.body,t,e)}toJson(){const e=super.toJson();return this.variant&&(e.variant=this.variant),this.leftDelim&&(e.leftDelim=this.leftDelim),this.rightDelim&&(e.rightDelim=this.rightDelim),e}serialize(e){var t,i;const r=this.matchingRightDelim();return"left...right"===this.variant?$u(["\\left"+(null!==(t=this.leftDelim)&&void 0!==t?t:"."),this.bodyToLatex(e),"\\right"+r]):"mleft...mright"===this.variant?$u(["\\mleft"+(null!==(i=this.leftDelim)&&void 0!==i?i:"."),this.bodyToLatex(e),"\\mright"+r]):$u([this.leftDelim&&"."!==this.leftDelim?this.leftDelim:"",this.bodyToLatex(e),r])}matchingRightDelim(){var e,t;if(this.rightDelim&&"?"!==this.rightDelim)return this.rightDelim;const i=null!==(e=this.leftDelim)&&void 0!==e?e:".";return null!==(t=hc[i])&&void 0!==t?t:i}render(e){var t,i,r;const n=new Jl(e,this.style);console.assert(void 0!==this.body);const a=new Jl(e,this.style,"textstyle"),o=null!==(t=ac.createBox(n,this.body,{newList:!0}))&&void 0!==t?t:new zu(null,{newList:!0}),s=o.height/a.scalingFactor,l=o.depth/a.scalingFactor,u=[];if(this.leftDelim&&u.push(this.bind(a,Lc("mopen",this.leftDelim,s,l,a,{classes:"ML__open"+(this.containsCaret?" 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ML__contains-caret":"",t=this.rightDelim;"?"===t&&(this.context.smartFence?(t=this.matchingRightDelim(),e+=" ML__smart-fence__close"):t="."),u.push(this.bind(a,Lc("mclose",t,s,l,a,{classes:e+" ML__close",mode:this.mode,style:this.style})))}const c=null!==(r="mleft...mright"===this.variant||(null===(i=this.leftSibling)||void 0===i?void 0:i.isFunction))&&void 0!==r&&r,h=new zu(u,{type:c?"mclose":"minner",classes:"left-right"});return this.caret&&(h.caret=this.caret),this.bind(n,h.wrap(n))}}class _c extends ac{constructor(e,t){super("msubsup",e,{style:null===t||void 0===t?void 0:t.style})}static fromJson(e,t){const i=new _c(t,e);for(const r of ic)e[r]&&i.setChildren(e[r],r);return i}toJson(){return super.toJson()}render(e){var t;console.assert(!this.subsupPlacement);const i=new Jl(e,{isPhantom:!0}),r=null!==(t=this.leftSibling.render(i))&&void 0!==t?t:new zu(null),n=new zu(null,{height:r.height,depth:r.depth});return this.attachSupsub(e,{base:n,isCharacterBox:this.leftSibling.isCharacterBox(),type:"supsub"})}serialize(e){return this.supsubToLatex(e)}}class Tc extends ac{constructor(e,t){var i;const r=(null===t||void 0===t?void 0:t.value)||e.placeholderSymbol;super("placeholder",e,{mode:null!==(i=null===t||void 0===t?void 0:t.mode)&&void 0!==i?i:"math",style:null===t||void 0===t?void 0:t.style,value:r,command:"\\placeholder"}),this.captureSelection=!0,this.placeholderId=null===t||void 0===t?void 0:t.placeholderId,this.defaultValue=null===t||void 0===t?void 0:t.default}static fromJson(e,t){return new Tc(t,e)}toJson(){const e=super.toJson();return this.placeholderId&&(e.placeholderId=this.placeholderId),this.value===this.context.placeholderSymbol&&delete e.value,this.defaultValue&&(e.defaultValue=this.defaultValue.map((e=>e.toJson()))),e}render(e){if("function"===typeof e.renderPlaceholder)return e.renderPlaceholder(e,this);let t="";return this.caret&&(t+="ML__placeholder-selected"),this.isSelected&&(t+="ML__selected"),this.createBox(e,{classes:t})}serialize(e){var t;let i=null!==(t=this.value)&&void 0!==t?t:"";i===this.context.placeholderSymbol&&(i="");const r=this.placeholderId?`[${this.placeholderId}]`:"",n=this.defaultValue?`[${ac.serialize(this.defaultValue,e)}]`:"";return`\\placeholder${r}${n}{${i}}`}}class Bc extends ac{constructor(e,t){super("error",t,{value:e,command:e,mode:"math"}),this.verbatimLatex=e}static fromJson(e,t){return new Bc(e.command,t)}toJson(){return super.toJson()}render(e){const t=this.createBox(e,{classes:"ML__error"});return this.caret&&(t.caret=this.caret),t}}class Ic extends ac{constructor(e,t,i){var r,n;super("macro",t,{command:e}),this.body=i.body,void 0===i.captureSelection?i.args?this.captureSelection=!1:this.captureSelection=!0:this.captureSelection=i.captureSelection,this.macroArgs=null!==(r=i.args)&&void 0!==r?r:"",this.expand=null!==(n=i.expand)&&void 0!==n&&n}static fromJson(e,t){return new Ic(e.command,t,e)}toJson(){const e=super.toJson();return this.expand&&(e.expand=!0),void 0!==this.captureSelection&&(e.captureSelection=this.captureSelection),this.macroArgs&&(e.args=this.macroArgs),e}serialize(e){return e.expandMacro&&this.expand?this.bodyToLatex(e):this.command+this.macroArgs}render(e){const t=ac.createBox(e,this.body);return t?(this.caret&&(t.caret=this.caret),this.bind(e,t)):null}}class qc extends ac{constructor(e,t,i,r){super("text",r,{command:e,mode:"text",displayContainsHighlight:!0}),this.value=t,this.verbatimLatex=t,this.applyStyle(i)}static fromJson(e,t){return new qc(e.command,e.value,e.style,t)}toJson(){return super.toJson()}render(e){const t=this.createBox(e);return this.caret&&(t.caret=this.caret),t}serialize(e){var t;return null!==(t=this.verbatimLatex)&&void 0!==t?t:Fs("text",this.value.codePointAt(0))}}function Dc(e){return!/^<({|}|\$|\$\$|space)>$/.test(e)}class Oc{constructor(e,t,i){var r,n,a,o,s,l;this.index=0,this.endCount=0,this.tokens=e,this.context=t,this.errors=[],this.args=null!==(r=i.args)&&void 0!==r?r:null,this.smartFence=null!==(n=i.smartFence)&&void 0!==n?n:t.smartFence,this._currentParsingContext={parent:void 0,mathlist:[],style:null!==(a=i.style)&&void 0!==a?a:{},parseMode:null!==(o=i.parseMode)&&void 0!==o?o:"math",mathstyle:null!==(s=i.mathstyle)&&void 0!==s?s:"displaystyle",registers:null!==(l=i.registers)&&void 0!==l?l:t.registers,tabular:!1}}get currentContext(){return this._currentParsingContext}get rootContext(){let e=this._currentParsingContext;while(e.parent)e=e.parent;return e}beginContext(e){var t,i,r;const n={parent:this.currentContext,mathlist:[],style:{...this.currentContext.style},parseMode:null!==(t=null===e||void 0===e?void 0:e.mode)&&void 0!==t?t:this.currentContext.parseMode,mathstyle:null!==(i=null===e||void 0===e?void 0:e.mathstyle)&&void 0!==i?i:this.currentContext.mathstyle,registers:null,tabular:null!==(r=null===e||void 0===e?void 0:e.tabular)&&void 0!==r&&r};this._currentParsingContext=n}endContext(){this._currentParsingContext=this._currentParsingContext.parent}onError(e){this.errors.push({before:ec(this.tokens.slice(this.index,this.index+10)),after:ec(this.tokens.slice(Math.max(0,this.index-10),this.index)),...e})}get mathlist(){return this.currentContext.mathlist}set mathlist(e){this.currentContext.mathlist=e}get parseMode(){return this.currentContext.parseMode}set parseMode(e){this.currentContext.parseMode=e}get tabularMode(){return this.currentContext.tabular}get style(){let e=this.currentContext;while(e){if(e.style)return e.style;e=e.parent}return{}}set style(e){this.currentContext.style=e}getRegister(e){var t,i,r;if(console.assert("\\"!==e[0]),e.startsWith("global "))return null!==(i=null===(t=this.rootContext.registers)||void 0===t?void 0:t[e.slice(7)])&&void 0!==i?i:0;let n=this.currentContext;while(n){if(null===(r=n.registers)||void 0===r?void 0:r[e])return n.registers[e];n=n.parent}return 0}setRegister(e,t){var i;if(e.startsWith("global ")){e=e.slice(7);let r=this.currentContext;while(r)(null===(i=r.registers)||void 0===i?void 0:i[e])&&delete r.registers[e],r=r.parent;this.rootContext.registers[e]=t}else this.currentContext.registers||(this.currentContext.registers={}),this.currentContext.registers[e]=t}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++]:""}peek(){return this.tokens[this.index]}match(e){return this.tokens[this.index]===e&&(this.index++,!0)}lastSubsupAtom(){let e;if(this.mathlist.length>0){if(e=this.mathlist[this.mathlist.length-1],"msubsup"===e.type)return e;if(void 0!==e.subsupPlacement)return e}return e=new _c(this.context,{style:this.style}),this.mathlist.push(e),e}hasPattern(e){return e.test(this.tokens[this.index])}hasInfixCommand(){var e;const{index:t}=this;if(t<this.tokens.length&&this.tokens[t].startsWith("\\")){const i=this.context.getDefinition(this.tokens[t],this.parseMode);return!(!i||"symbol"===i.definitionType)&&(!(i.ifMode&&!i.ifMode.includes(this.parseMode))&&(null!==(e=i.infix)&&void 0!==e&&e))}return!1}matchColumnSeparator(){const{index:e}=this;return!(!this.tabularMode||"&"!==this.tokens[e])&&(this.index++,!0)}matchRowSeparator(){const{index:e}=this;return!(!this.tabularMode||"\\\\"!==this.tokens[e]&&"\\cr"!==this.tokens[e])&&(this.index++,!0)}placeholder(){var e;const t=null===(e=this.args)||void 0===e?void 0:e.call(this,"?");return t?Rc(t,this.context,{parseMode:this.parseMode,mathstyle:"textstyle"}):[new Tc(this.context,{mode:this.parseMode,style:this.style})]}matchWhitespace(){let e=!1;while(this.match("<space>"))e=!0;return e}skipUntilToken(e){let t=this.tokens[this.index];while(t&&t!==e)t=this.tokens[++this.index];t===e&&this.index++}skipFiller(){let e=!1;do{const t=this.matchWhitespace(),i=this.match("\\relax");e=!t&&!i}while(!e)}matchKeyword(e){const t=this.index;let i=this.end(),r="";while(!i){const t=this.get();Dc(t)?(r+=t,i=this.end()||r.length>=e.length):i=!0}const n=e.toUpperCase()===r.toUpperCase();return n||(this.index=t),n}scanString(){let e="";while(!this.end())if(this.match("<space>"))e+=" ";else{const t=this.peek();if("]"===t)break;if(Dc(t))e+=this.get();else{if(!t.startsWith("\\"))break;this.onError({code:"unbalanced-braces"}),e+=this.get()}}return e}scanBalancedString(){let e="",t=this.end(),i=1;while(!t){if(this.match("<space>"))e+=" ";else{const t=this.get();"<{>"===t?(e+="{",i+=1):"<}>"===t?(i-=1,i>0?e+="}":this.index-=1):e+="<$>"===t?"$":"<$$>"===t?"$$":t}t=0===i||this.end()}return e}matchLiteralArg(){var e;let t="";if(this.match("<{>")){let i=1;while(i>0&&!this.end()){const r=this.get();"<}>"===r?(i-=1,i>0&&(t+="}")):"<{>"===r?(i+=1,t+="{"):t+=null!==(e={"<space>":" ","<$$>":"$$","<$>":"$"}[r])&&void 0!==e?e:r}}return t}scanNumber(e=!0){var t,i;let r=!1,n=this.peek();while("<space>"===n||"+"===n||"-"===n)this.get(),"-"===n&&(r=!r),n=this.peek();e=Boolean(e);let a=10,o=/\d/;if(this.match("'"))a=8,o=/[0-7]/,e=!0;else if(this.match('"')||this.match("x"))a=16,o=/[\dA-F]/,e=!0;else if(this.match("`"))return n=this.get(),n?n.startsWith("\\")&&2===n.length?(r?-1:1)*(null!==(t=n.codePointAt(1))&&void 0!==t?t:0):(r?-1:1)*(null!==(i=n.codePointAt(0))&&void 0!==i?i:0):null;let s="";while(this.hasPattern(o))s+=this.get();if(!e&&(this.match(".")||this.match(","))){s+=".";while(this.hasPattern(o))s+=this.get()}const l=e?Number.parseInt(s,a):Number.parseFloat(s);return Number.isNaN(l)?null:r?-l:l}scanDimen(){var e,t,i;let r,n=this.scanNumber(!1);if(null===n){if(!(null===(e=this.peek())||void 0===e?void 0:e.startsWith("\\")))return null;n=1}return this.matchWhitespace(),this.matchKeyword("pt")?r={dimension:n,unit:"pt"}:this.matchKeyword("mm")?r={dimension:n,unit:"mm"}:this.matchKeyword("cm")?r={dimension:n,unit:"cm"}:this.matchKeyword("ex")?r={dimension:n,unit:"ex"}:this.matchKeyword("px")?r={dimension:n,unit:"px"}:this.matchKeyword("em")?r={dimension:n,unit:"em"}:this.matchKeyword("bp")?r={dimension:n,unit:"bp"}:this.matchKeyword("dd")?r={dimension:n,unit:"dd"}:this.matchKeyword("pc")?r={dimension:n,unit:"pc"}:this.matchKeyword("in")?r={dimension:n,unit:"in"}:this.matchKeyword("mu")?r={dimension:n,unit:"mu"}:(null===(t=this.peek())||void 0===t?void 0:t.startsWith("\\"))?(r=null!==(i=Vc(this.getRegister(this.get().slice(1)),this.context))&&void 0!==i?i:{dimension:0},r.dimension*=n):(this.match("\\relax")||this.onError({code:"missing-unit"}),r={dimension:n,unit:"pt"}),r}scanGlue(){const e=this.scanDimen();if(null===e)return null;const t={glue:e};return this.matchWhitespace(),this.match("\\relax")?t:(this.matchKeyword("plus")&&this.scanDimen(),this.matchWhitespace(),this.match("\\relax")||(this.matchWhitespace(),this.matchKeyword("minus")&&this.scanDimen()),t)}scanColspec(){this.matchWhitespace();const e=[];while(!this.end()&&"<}>"!==this.peek()&&"]"!==this.peek()){const t=this.get();"c"===t||"r"===t||"l"===t?e.push({align:t}):"|"===t?e.push({separator:"solid"}):":"===t?e.push({separator:"dashed"}):"@"===t&&(this.match("<{>")&&(this.beginContext({mode:"math"}),e.push({gap:this.parse((e=>"<}>"===e))}),this.endContext()),this.match("<}>")||this.onError({code:"unbalanced-braces"}))}return e}parseModeSet(){let e="";if(this.match("\\(")&&(e="\\)"),!e&&this.match("\\[")&&(e="\\]"),!e)return null;this.beginContext({mode:"math",mathstyle:"\\)"===e?"textstyle":"displaystyle"});const t=new uc(this.parse((t=>t===e)),this.context,{mathstyleName:"\\)"===e?"textstyle":"displaystyle",latexOpen:"\\]"===e?"\\[":"\\(",latexClose:e,boxType:"mord"});return this.match(e)||this.onError({code:"unbalanced-mode-shift"}),this.endContext(),t.hasEmptyBranch("body")?null:t}parseModeShift(){let e="";if(this.match("<$>")&&(e="<$>"),!e&&this.match("<$$>")&&(e="<$$>"),!e)return null;this.beginContext({mode:"math",mathstyle:"textstyle"});const t=new uc(this.parse((t=>t===e)),this.context,{mathstyleName:"<$>"===e?"textstyle":"displaystyle",latexOpen:"<$>"===e?"$ ":"$$ ",latexClose:"<$>"===e?" $":" $$"});return this.match(e)||this.onError({code:"unbalanced-mode-shift"}),this.endContext(),t.hasEmptyBranch("body")?null:t}parseEnvironment(){if(!this.match("\\begin"))return null;const e=this.parseArgument("string");if(!e)return null;const t=Gs(e);if(!t)return this.onError({code:"unknown-environment",arg:e}),null;const i=[];if(t.params)for(const s of t.params)if(s.isOptional)i.push(this.parseOptionalArgument(s.type));else{const t=this.parseArgument(s.type);t||this.onError({code:"missing-argument",arg:e}),i.push(t)}this.beginContext({tabular:t.tabular});const r=[],n=[];let a=[],o=!1;do{if(this.end()&&(this.onError({code:"unbalanced-environment",arg:e}),o=!0),!o&&this.match("\\end")&&(this.parseArgument("string")!==e&&this.onError({code:"unbalanced-environment",arg:e}),o=!0),!o)if(this.matchColumnSeparator())a.push(this.mathlist),this.mathlist=[];else if(this.matchRowSeparator()){a.push(this.mathlist),this.mathlist=[];let e=null;this.matchWhitespace(),this.match("[")&&(e=this.scanDimen(),this.matchWhitespace(),this.match("]")),n.push(null!==e&&void 0!==e?e:{dimension:0}),r.push(a),a=[]}else this.mathlist.push(...this.parse((e=>"<}>"===e||"&"===e||"\\end"===e||"\\cr"===e||"\\\\"===e)))}while(!o);return a.push(this.mathlist),a.length>0&&r.push(a),this.endContext(),t.createAtom(this.context,e,r,n,i)}parse(e){this.beginContext(),e||(e=e=>"<}>"===e);let t="",i=null,r=[],n=null;const a=this.mathlist;this.mathlist=[];while(!this.end()&&!e(this.peek()))this.hasInfixCommand()&&!t?(t=this.get(),i=this.context.getDefinition(t,"math"),i&&(r=this.parseArguments(i)[1]),n=this.mathlist,this.mathlist=[]):this.parseToken();let o;return t?(console.assert(Boolean(i)),r.unshift(this.mathlist),this.mathlist=a,n&&r.unshift(n),o=[i.createAtom(t,r,this.style,this.context)]):(o=this.mathlist,this.mathlist=a),this.endContext(),o}parseGroup(){if(!this.match("<{>"))return null;const e=new uc(this.parse((e=>"<}>"===e)),this.context,{mode:this.parseMode,latexOpen:"{",latexClose:"}"});return this.match("<}>")||this.onError({code:"unbalanced-braces"}),e}scanSmartFence(){if(this.matchWhitespace(),!this.match("("))return null;this.beginContext();let e=1;while(!this.end()&&0!==e)this.match("(")&&(e+=1),this.match(")")&&(e-=1),0!==e&&this.parseToken();0===e&&this.match(")");const t=new Ec("",this.mathlist,this.context,{leftDelim:"(",rightDelim:0===e?")":"?"});return this.endContext(),t}scanDelim(){this.matchWhitespace();const e=this.get();if(!e)return this.onError({code:"unexpected-end-of-string"}),null;let t=".";(e.startsWith("\\")||Dc(e))&&(t=e);const i=this.context.getDefinition(t,"math");return i?"function"===i.definitionType&&i.ifMode&&!i.ifMode.includes(this.parseMode)?(this.onError({code:"unexpected-delimiter",arg:t}),null):"symbol"!==i.definitionType||"mopen"!==i.type&&"mclose"!==i.type?/^(\.|\?|\||<|>|\\vert|\\Vert|\\\||\\surd|\\uparrow|\\downarrow|\\Uparrow|\\Downarrow|\\updownarrow|\\Updownarrow|\\mid|\\mvert|\\mVert)$/.test(t)?t:(this.onError({code:"unexpected-delimiter",arg:t}),null):t:(this.onError({code:"unknown-command",arg:t}),null)}parseLeftRight(){var e;if(this.match("\\right")||this.match("\\mright"))return this.onError({code:"unbalanced-braces"}),null;let t="\\right";if(!this.match("\\left")){if(!this.match("\\mleft"))return null;t="\\mright"}const i=this.scanDelim();if(!i)return null;this.beginContext();while(!this.end()&&!this.match(t))this.parseToken();const r=this.mathlist;this.endContext();const n=null!==(e=this.scanDelim())&&void 0!==e?e:".";return new Ec("\\right"===t?"left...right":"mleft...mright",r,this.context,{leftDelim:i,rightDelim:n,style:this.style})}parseSupSub(){if("math"!==this.parseMode)return!1;let e=this.peek();if("^"!==e&&"_"!==e&&"'"!==e)return!1;while("^"===e||"_"===e||"'"===e){if(this.match("'"))this.match("'")?this.lastSubsupAtom().addChild(new ac("mord",this.context,{command:"\\doubleprime",mode:"math",value:"′′"}),"superscript"):this.lastSubsupAtom().addChild(new ac("mord",this.context,{command:"\\prime",mode:"math",value:"′"}),"superscript");else if(this.match("^")||this.match("_")){const t=this.parseArgument("math");t?this.lastSubsupAtom().addChildren(t,"_"===e?"subscript":"superscript"):this.lastSubsupAtom().createBranch("_"===e?"subscript":"superscript")}e=this.peek()}return!0}parseLimits(){const e=this.match("\\limits"),t=!e&&this.match("\\nolimits"),i=!t&&!e&&this.match("\\displaylimits");if(!e&&!t&&!i)return!1;const r=this.mathlist.length>0?this.mathlist[this.mathlist.length-1]:null;return null!==r&&"mop"===r.type&&(e?(r.subsupPlacement="over-under",r.explicitSubsupPlacement=!0,!0):t?(r.subsupPlacement="adjacent",r.explicitSubsupPlacement=!0,!0):!!i&&(r.subsupPlacement="auto",r.explicitSubsupPlacement=!0,!0))}parseArguments(e){if(!e||!e.params)return[void 0,[]];let t;const i=[];let r=e.infix?2:0;while(r<e.params.length){const n=e.params[r];if("rest"===n.type)i.push(this.parse((e=>"<}>"===e||"&"===e||"\\end"===e||"\\cr"===e||"\\\\"===e)));else if(n.isOptional)i.push(this.parseOptionalArgument(n.type));else if(n.type.endsWith("*"))t=n.type.slice(0,-1);else{const e=this.parseArgument(n.type);if(null!==e)i.push(e);else switch(this.onError({code:"missing-argument"}),n.type){case"number":i.push(0);break;case"dimen":i.push({dimension:0,unit:"pt"});break;case"glue":i.push({glue:{dimension:0,unit:"pt"}});break;case"string":case"balanced-string":i.push("");break;case"delim":i.push(".");break;case"colspec":i.push("llllllllll");break;case"auto":default:i.push(this.placeholder());break}}r+=1}return[t,i]}parseArgument(e){var t,i;this.skipFiller(),"auto"===e&&(e=this.parseMode);let r=null;const n="<{>"===this.peek();if(!n){if("delim"===e)return null!==(t=this.scanDelim())&&void 0!==t?t:".";if("text"===e||"math"===e){this.beginContext();const e=this.parseSimpleToken();return this.endContext(),e}}if(n&&this.get(),"text"===e||"math"===e){this.beginContext({mode:e});do{this.mathlist.push(...this.parse())}while(!this.match("<}>")&&!this.end())}else 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n={d:$c.go(e.d,"pu"),q:$c.go(e.q,"pu")};"//"===e.o?t={type_:"pu-frac",p1:n.d,p2:n.q}:(t=n.d,n.d.length>1||n.q.length>1?t.push({type_:" / "}):t.push({type_:"/"}),$c.concatArray(t,n.q))}else t=$c.go(e.d,"pu-2");for(var a in e)delete e[a];return t}}},"pu-2":{transitions:$c.createTransitions({empty:{"*":{action_:"output"}},"*":{"*":{action_:["output","cdot"],nextState:"0"}},"\\x":{"*":{action_:"rm="}},space:{"*":{action_:["output","space"],nextState:"0"}},"^{(...)}|^(-1)":{1:{action_:"^(-1)"}},"-9.,9":{0:{action_:"rm=",nextState:"0"},1:{action_:"^(-1)",nextState:"0"}},"{...}|else":{"*":{action_:"rm=",nextState:"1"}}}),actions:{cdot:function(){return{type_:"tight cdot"}},"^(-1)":function(e,t){e.rm+="^{"+t+"}"},space:function(){return{type_:"pu-space-2"}},output:function(e){var t=[];if(e.rm){var i=$c.patterns.match_("{(...)}",e.rm||"");t=i&&""===i.remainder?$c.go(i.match_,"pu"):{type_:"rm",p1:e.rm}}for(var r in e)delete e[r];return t}}},"pu-9,9":{transitions:$c.createTransitions({empty:{0:{action_:"output-0"},o:{action_:"output-o"}},",":{0:{action_:["output-0","comma"],nextState:"o"}},".":{0:{action_:["output-0","copy"],nextState:"o"}},else:{"*":{action_:"text="}}}),actions:{comma:function(){return{type_:"commaDecimal"}},"output-0":function(e){var t=[];if(e.text_=e.text_||"",e.text_.length>4){var i=e.text_.length%3;0===i&&(i=3);for(var r=e.text_.length-3;r>0;r-=3)t.push(e.text_.substr(r,3)),t.push({type_:"1000 separator"});t.push(e.text_.substr(0,i)),t.reverse()}else t.push(e.text_);for(var n in e)delete e[n];return t},"output-o":function(e){var t=[];if(e.text_=e.text_||"",e.text_.length>4){for(var i=e.text_.length-3,r=0;r<i;r+=3)t.push(e.text_.substr(r,3)),t.push({type_:"1000 separator"});t.push(e.text_.substr(r))}else t.push(e.text_);for(var n in e)delete e[n];return t}}}};var eh,th,ih={go:function(e,t){if(!e)return"";for(var i="",r=!1,n=0;n<e.length;n++){var a=e[n];"string"===typeof 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i={a:ih._goInner(e.a),b:ih._goInner(e.b),p:ih._goInner(e.p),o:ih._goInner(e.o),q:ih._goInner(e.q),d:ih._goInner(e.d)};i.a&&(i.a.match(/^[+\-]/)&&(i.a="{"+i.a+"}"),t+=i.a+"\\,"),(i.b||i.p)&&(t+="{\\vphantom{X}}",t+="^{\\hphantom{"+(i.b||"")+"}}_{\\hphantom{"+(i.p||"")+"}}",t+="{\\vphantom{X}}",t+="^{\\smash[t]{\\vphantom{2}}\\mathllap{"+(i.b||"")+"}}",t+="_{\\vphantom{2}\\mathllap{\\smash[t]{"+(i.p||"")+"}}}"),i.o&&(i.o.match(/^[+\-]/)&&(i.o="{"+i.o+"}"),t+=i.o),"kv"===e.dType?((i.d||i.q)&&(t+="{\\vphantom{X}}"),i.d&&(t+="^{"+i.d+"}"),i.q&&(t+="_{\\smash[t]{"+i.q+"}}")):"oxidation"===e.dType?(i.d&&(t+="{\\vphantom{X}}",t+="^{"+i.d+"}"),i.q&&(t+="{\\vphantom{X}}",t+="_{\\smash[t]{"+i.q+"}}")):(i.q&&(t+="{\\vphantom{X}}",t+="_{\\smash[t]{"+i.q+"}}"),i.d&&(t+="{\\vphantom{X}}",t+="^{"+i.d+"}"));break;case"rm":t="\\mathrm{"+e.p1+"}";break;case"text":e.p1.match(/[\^_]/)?(e.p1=e.p1.replace(" ","~").replace("-","\\text{-}"),t="\\mathrm{"+e.p1+"}"):t="\\text{"+e.p1+"}";break;case"roman 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0!==t?t:"";if("\\enclose"===this.command){i+="{"+Object.keys(this.notation).join(" ")+"}";let e="",t="";this.backgroundcolor&&"transparent"!==this.backgroundcolor&&(e+=t+'mathbackground="'+this.backgroundcolor+'"',t=","),this.shadow&&"auto"!==this.shadow&&(e+=t+'shadow="'+this.shadow+'"',t=","),this.strokeWidth||"solid"!==this.strokeStyle?(e+=t+this.borderStyle,t=","):this.strokeColor&&"currentColor"!==this.strokeColor&&(e+=t+'mathcolor="'+this.strokeColor+'"',t=","),e&&(i+=`[${e}]`)}return i+=`{${this.bodyToLatex(e)}}`,i}render(e){var t;const i=new Jl(e,this.style),r=ac.createBox(i,this.body);if(!r)return null;const n=null!==(t=Zl(this.padding&&"auto"!==this.padding?Vc(this.padding,{...this.context,registers:e.registers}):i.getRegisterAsDimension("fboxsep")))&&void 0!==t?t:0,a=new zu(null,{classes:"ML__notation"});a.setStyle("position","absolute"),a.setStyle("height",r.height+r.depth+2*n,"em"),a.height=r.height+n,a.depth=r.depth+n,0!==n?a.setStyle("width",`calc(100% + ${2*n}em)`):a.setStyle("width","100%"),a.setStyle("top",-r.height+2*n,"em"),a.setStyle("left",-n,"em"),a.setStyle("z-index","-1"),a.setStyle("box-sizing","border-box"),this.backgroundcolor&&a.setStyle("background-color",this.backgroundcolor),this.notation.box&&a.setStyle("border",this.borderStyle),this.notation.actuarial&&(a.setStyle("border-top",this.borderStyle),a.setStyle("border-right",this.borderStyle)),this.notation.madruwb&&(a.setStyle("border-bottom",this.borderStyle),a.setStyle("border-right",this.borderStyle)),this.notation.roundedbox&&(a.setStyle("border-radius",(r.height+r.depth)/2,"em"),a.setStyle("border",this.borderStyle)),this.notation.circle&&(a.setStyle("border-radius","50%"),a.setStyle("border",this.borderStyle)),this.notation.top&&a.setStyle("border-top",this.borderStyle),this.notation.left&&a.setStyle("border-left",this.borderStyle),this.notation.right&&a.setStyle("border-right",this.borderStyle),this.notation.bottom&&a.setStyle("border-bottom",this.borderStyle);let o="";if(this.notation.horizontalstrike&&(o+='<line x1="3%"  y1="50%" x2="97%" y2="50%"',o+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,o+=' stroke-linecap="round"',this.svgStrokeStyle&&(o+=` stroke-dasharray="${this.svgStrokeStyle}"`),o+="/>"),this.notation.verticalstrike&&(o+='<line x1="50%"  y1="3%" x2="50%" y2="97%"',o+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,o+=' stroke-linecap="round"',this.svgStrokeStyle&&(o+=` stroke-dasharray="${this.svgStrokeStyle}"`),o+="/>"),this.notation.updiagonalstrike&&(o+='<line x1="3%"  y1="97%" x2="97%" y2="3%"',o+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,o+=' stroke-linecap="round"',this.svgStrokeStyle&&(o+=` stroke-dasharray="${this.svgStrokeStyle}"`),o+="/>"),this.notation.downdiagonalstrike&&(o+='<line x1="3%"  y1="3%" x2="97%" y2="97%"',o+=` stroke-width="${this.strokeWidth}" stroke="${this.strokeColor}"`,o+=' stroke-linecap="round"',this.svgStrokeStyle&&(o+=` stroke-dasharray="${this.svgStrokeStyle}"`),o+="/>"),o){let e;"none"!==this.shadow&&(e="auto"===this.shadow?"filter: drop-shadow(0 0 .5px rgba(255, 255, 255, .7)) drop-shadow(1px 1px 2px #333)":"filter: drop-shadow("+this.shadow+")"),Du(a,o,e)}const s=new zu([a,r]);return s.setStyle("position","relative"),s.setStyle("display","inline"),s.height=r.height+n,s.depth=r.depth+n,s.left=n,s.right=n,this.caret&&(s.caret=this.caret),s.wrap(i)}}class oh extends ac{constructor(e,t,i,r,n){var a,o;super("genfrac",r,{style:n.style,command:e,serialize:n.serialize,displayContainsHighlight:!0}),this.above=t,this.below=i,this.hasBarLine=null===(a=null===n||void 0===n?void 0:n.hasBarLine)||void 0===a||a,this.continuousFraction=null!==(o=null===n||void 0===n?void 0:n.continuousFraction)&&void 0!==o&&o,this.numerPrefix=null===n||void 0===n?void 0:n.numerPrefix,this.denomPrefix=null===n||void 0===n?void 0:n.denomPrefix,this.mathstyleName=null===n||void 0===n?void 0:n.mathstyleName,this.leftDelim=null===n||void 0===n?void 0:n.leftDelim,this.rightDelim=null===n||void 0===n?void 0:n.rightDelim}static fromJson(e,t){return new oh(e.command,e.above,e.below,t,e)}toJson(){const e={};return this.continuousFraction&&(e.continuousFraction=!0),this.numerPrefix&&(e.numerPrefix=this.numerPrefix),this.denomPrefix&&(e.denomPrefix=this.denomPrefix),this.leftDelim&&(e.leftDelim=this.leftDelim),this.rightDelim&&(e.rightDelim=this.rightDelim),this.hasBarLine||(e.hasBarLine=!1),this.mathstyleName&&(e.mathstyleName=this.mathstyleName),{...super.toJson(),...e}}serialize(e){return this.command+`{${this.aboveToLatex(e)}}`+`{${this.belowToLatex(e)}}`}get children(){if(this._children)return this._children;const e=[];if("numerator-denominator"===this.context.fractionNavigationOrder){for(const t of this.above)e.push(...t.children),e.push(t);for(const t of this.below)e.push(...t.children),e.push(t)}else{for(const t of this.below)e.push(...t.children),e.push(t);for(const t of this.above)e.push(...t.children),e.push(t)}return this._children=e,e}render(e){var t,i;const r=new Jl(e,this.style,this.mathstyleName),n=r.metrics,a=new Jl(r,this.style,this.continuousFraction?"":"numerator"),o=this.numerPrefix?new zu([new zu(this.numerPrefix),ac.createBox(a,this.above)],{isTight:a.isTight,newList:!0}):null!==(t=ac.createBox(a,this.above,{newList:!0}))&&void 0!==t?t:new zu(null,{newList:!0}),s=new Jl(r,this.style,this.continuousFraction?"":"denominator"),l=this.denomPrefix?new zu([new zu(this.denomPrefix),ac.createBox(s,this.below,{newList:!0})]):null!==(i=ac.createBox(s,this.below,{newList:!0}))&&void 0!==i?i:new zu(null,{newList:!0}),u=this.hasBarLine?n.defaultRuleThickness:0;let c,h,d=0;r.isDisplayStyle?(c=n.num1,d=u>0?3*u:7*u,h=n.denom1):(u>0?(c=n.num2,d=u):(c=n.num3,d=3*u),h=n.denom2);const p=[];this.isSelected&&p.push("ML__selected");const m=o.depth,f=l.height;let g;if(u<=0){const e=c-m-(f-h);e<d&&(c+=(d-e)/2,h+=(d-e)/2),g=new Pu({individualShift:[{box:o,shift:-c,classes:[...p,"ML__center"]},{box:l,shift:h,classes:[...p,"ML__center"]}]}).wrap(r)}else{const e=El+u/2,t=El-u/2;c<d+m+e&&(c=d+m+e),h<d+f-t&&(h=d+f-t);const i=new zu(null,{classes:"ML__frac-line",mode:this.mode,style:this.style});i.height=u/2,i.depth=u/2,g=new Pu({individualShift:[{box:l,shift:h,classes:[...p,"ML__center"]},{box:i,shift:u/2-t,classes:p},{box:o,shift:-c,classes:[...p,"ML__center"]}]}).wrap(r)}const v=r.isDisplayStyle?n.delim1:n.delim2,y=this.isSelected?" ML__selected":"",b=this.leftDelim?this.bind(e,zc("mopen",this.leftDelim,v,!0,e,{style:this.style,mode:this.mode,classes:y})):Cc(r,"mopen");let w=null;w=this.continuousFraction?new zu(null,{type:"mclose"}):this.rightDelim?this.bind(e,zc("mclose",this.rightDelim,v,!0,e,{style:this.style,mode:this.mode,classes:y})):Cc(r,"mclose");const x=this.bind(e,new zu([b,g,w],{isTight:r.isTight,type:"mord",classes:"mfrac"}));return x?(this.caret&&(x.caret=this.caret),this.attachSupsub(e,{base:x})):null}}class sh extends ac{constructor(e,t,i){var r;super("latex",t,{value:e,mode:"latex"}),this.isSuggestion=null!==(r=null===i||void 0===i?void 0:i.isSuggestion)&&void 0!==r&&r,this.isError=!1,this.verbatimLatex=e}static fromJson(e,t){const i=new sh(e.command,t);return e.isSuggestion&&(i.isSuggestion=!0),e.isError&&(i.isError=!0),i}toJson(){const e={};return this.isSuggestion&&(e.isSuggestion=!0),this.isError&&(e.isError=!0),{...super.toJson(),...e}}get computedStyle(){return{}}render(e){const t=new zu(this.value,{classes:this.isSuggestion?"ML__suggestion":this.isError?"ML__error":"",type:"latex",maxFontSize:1});return t?(this.caret&&(t.caret=this.caret),this.bind(e,t)):null}}class lh extends ac{constructor(e,t){super("latexgroup",t,{mode:"latex"}),this.body=[...e].map((e=>new sh(e,t))),this.skipBoundary=!1}static fromJson(e,t){return new lh("",t)}toJson(){return super.toJson()}render(e){const t=ac.createBox(e,this.body,{newList:!0});return t?(this.caret&&(t.caret=this.caret),this.bind(e,t)):null}serialize(e){var t,i;return null!==(i=null===(t=this.body)||void 0===t?void 0:t.map((e=>e.value)).join(""))&&void 0!==i?i:""}}class uh extends ac{constructor(e,t,i,r){super("line",i,{command:e,style:r.style}),this.skipBoundary=!0,this.body=t,this.position=r.position}static fromJson(e,t){return new uh(e.command,e.body,t,e)}toJson(){return{...super.toJson(),position:this.position}}render(e){const t=new Jl(e,this.style,"cramp"),i=ac.createBox(t,this.body);if(!i)return null;const r=t.metrics.defaultRuleThickness/t.scalingFactor,n=new zu(null,{classes:this.position+"-line"});let a;return n.height=r,n.maxFontSize=1.125*r*t.scalingFactor,a="overline"===this.position?new Pu({shift:0,children:[{box:i},3*r,{box:n},r]}):new Pu({top:i.height,children:[r,{box:n},3*r,{box:i}]}),this.caret&&(a.caret=this.caret),new zu(a,{classes:this.position,type:"mord"})}}class ch extends ac{constructor(e,t,i,r){var n,a,o,s;super(null!==(n=r.type)&&void 0!==n?n:"mop",i,{command:e,style:r.style,isFunction:null===r||void 0===r?void 0:r.isFunction}),"string"===typeof t?this.value=t:this.body=t,this.captureSelection=null!==(a=r.captureSelection)&&void 0!==a&&a,this.hasArgument=null!==(o=r.hasArgument)&&void 0!==o&&o,this.variant=null===r||void 0===r?void 0:r.variant,this.variantStyle=null===r||void 0===r?void 0:r.variantStyle,this.subsupPlacement=null===r||void 0===r?void 0:r.limits,this.isExtensibleSymbol=null!==(s=null===r||void 0===r?void 0:r.isExtensibleSymbol)&&void 0!==s&&s}static fromJson(e,t){return new ch(e.command,e.body?e.body:e.value,t,e)}toJson(){const e=super.toJson();return this.hasArgument&&(e.hasArgument=!0),this.variant&&(e.variant=this.variant),this.variantStyle&&(e.variantStyle=this.variantStyle),this.subsupPlacement&&(e.limits=this.subsupPlacement),this.isExtensibleSymbol&&(e.isExtensibleSymbol=!0),this.value&&(e.symbol=this.value),e}render(e){var t;let i,r=0,n=0;if(this.isExtensibleSymbol){const t=e.isDisplayStyle&&"\\smallint"!==this.value;if(i=new zu(this.value,{fontFamily:t?"Size2-Regular":"Size1-Regular",classes:"op-symbol "+(t?"large-op":"small-op"),type:"mop",maxFontSize:e.scalingFactor}),!i)return null;i.right=i.italic,r=(i.height-i.depth)/2-El*e.scalingFactor,n=i.italic,i.setStyle("color",this.style.color),i.setStyle("background-color",this.style.backgroundColor)}else if(this.body){if(i=ac.createBox(e,this.body,{newList:!0}),!i)return null;i.setStyle("color",this.style.color),i.setStyle("background-color",this.style.backgroundColor)}else console.assert("mop"===this.type),i=new zu(this.value,{type:"mop",mode:"math",maxFontSize:e.scalingFactor,style:{color:this.style.color,backgroundColor:this.style.backgroundColor,letterShapeStyle:e.letterShapeStyle,variant:this.variant,variantStyle:this.variantStyle}});this.isExtensibleSymbol&&i.setTop(r);let a=i;if(this.superscript||this.subscript){const o=null!==(t=this.subsupPlacement)&&void 0!==t?t:"auto";a="over-under"===o||"auto"===o&&e.isDisplayStyle?this.attachLimits(e,{base:i,baseShift:r,slant:n}):this.attachSupsub(e,{base:i})}return this.caret&&(a.caret=this.caret),new zu(this.bind(e,a),{type:"mop",classes:"op-group"+(this.isSelected?" ML__selected":"")})}serialize(e){if("​"===this.value)return this.supsubToLatex(e);const t=[];return t.push(this.command),this.hasArgument&&t.push(`{${this.bodyToLatex(e)}}`),this.explicitSubsupPlacement&&("over-under"===this.subsupPlacement&&t.push("\\limits"),"adjacent"===this.subsupPlacement&&t.push("\\nolimits"),"auto"===this.subsupPlacement&&t.push("\\displaylimits")),t.push(this.supsubToLatex(e)),$u(t)}}class hh extends ac{constructor(e,t,i,r){var n,a;super("overlap",i,{command:e,style:null===r||void 0===r?void 0:r.style}),this.skipBoundary=!0,this.body="string"===typeof t?[new ac("mord",i,{value:t})]:t,this.align=null!==(n=null===r||void 0===r?void 0:r.align)&&void 0!==n?n:"left",this.boxType=null!==(a=null===r||void 0===r?void 0:r.boxType)&&void 0!==a?a:"mord"}static fromJson(e,t){return new hh(e.command,e.body,t,e)}toJson(){const e={};return this.align&&(e.align=this.align),this.boxType&&(e.boxType=this.boxType),{...super.toJson(),...e}}render(e){const t=ac.createBox(e,this.body,{classes:"inner"});return t?(this.caret&&(t.caret=this.caret),this.bind(e,new zu([t,new zu(null,{classes:"fix"})],{classes:"left"===this.align?"llap":"rlap",type:this.boxType}))):null}}class dh extends ac{constructor(e,t,i){var r,n,a,o;super("overunder",t,{command:e,serialize:i.serialize,style:i.style}),this.skipBoundary=null===(r=i.skipBoundary)||void 0===r||r,this.subsupPlacement=i.supsubPlacement,this.body=i.body,this.svgAbove=i.svgAbove,this.svgBelow=i.svgBelow,this.svgBody=i.svgBody,this.above=i.above,this.below=i.below,this.boxType=null!==(n=i.boxType)&&void 0!==n?n:"mord",this.paddedBody=null!==(a=i.paddedBody)&&void 0!==a&&a,this.paddedLabels=null!==(o=i.paddedLabels)&&void 0!==o&&o}static fromJson(e,t){return new dh(e.command,t,e)}toJson(){const e={};return this.skipBoundary||(e.skipBoundary=!1),this.subsupPlacement&&(e.subsupPlacement=this.subsupPlacement),this.svgAbove&&(e.svgAbove=this.svgAbove),this.svgBelow&&(e.svgBelow=this.svgBelow),this.svgBody&&(e.svgBody=this.svgBody),"mord"!==this.boxType&&(e.boxType=this.boxType),this.paddedBody&&(e.paddedBody=!0),this.paddedLabels&&(e.paddedLabels=!0),{...super.toJson(),...e}}render(e){let t=this.svgBody?Ou(this.svgBody):ac.createBox(e,this.body,{newList:!0});const i=new Jl(e,this.style,"scriptstyle");let r=null;this.svgAbove?r=Ou(this.svgAbove):this.above&&(r=ac.createBox(i,this.above,{newList:!0}));let n=null;this.svgBelow?n=Ou(this.svgBelow):this.below&&(n=ac.createBox(i,this.below,{newList:!0})),this.paddedBody&&(t=new zu([Cc(e,"mopen"),t,Cc(e,"mclose")],{newList:!0}));let a=ph(e,{base:t,above:r,below:n,type:"mbin"===this.boxType||"mrel"===this.boxType?this.boxType:"mord",paddedAboveBelow:this.paddedLabels});return a?(a="over-under"===this.subsupPlacement?this.attachLimits(e,{base:a,type:a.type}):this.attachSupsub(e,{base:a}),this.caret&&(a.caret=this.caret),this.bind(e,a)):null}}function ph(e,t){if(!t.base)return null;if(!t.above&&!t.below){const e=new zu(t.base,{type:t.type});return e.setStyle("position","relative"),e}let i=0;t.above&&(i=-t.above.depth+e.metrics.bigOpSpacing2);let r=null;const n=t.base,a=0,o=["ML__center"];if(t.paddedAboveBelow&&o.push("ML__label_padding"),t.below&&t.above){const s=e.metrics.bigOpSpacing5+t.below.height+t.below.depth+n.depth+a;r=new Pu({bottom:s,children:[e.metrics.bigOpSpacing5,{box:t.below,classes:o},{box:n,classes:["ML__center"]},i,{box:t.above,classes:o},e.metrics.bigOpSpacing5]})}else t.below?r=new Pu({top:n.height-a,children:[e.metrics.bigOpSpacing5,{box:t.below,classes:o},{box:n,classes:["ML__center"]}]}):t.above&&(r=new Pu({bottom:n.depth+a,children:[{box:n,classes:["ML__center"]},i,{box:t.above,classes:o},e.metrics.bigOpSpacing5]}));return new zu(r,{type:t.type})}class mh extends ac{constructor(e,t,i,r){var n,a,o,s;super("phantom",i,{command:e,style:r.style}),this.captureSelection=!0,this.body=t,this.isInvisible=null!==(n=r.isInvisible)&&void 0!==n&&n,this.smashDepth=null!==(a=r.smashDepth)&&void 0!==a&&a,this.smashHeight=null!==(o=r.smashHeight)&&void 0!==o&&o,this.smashWidth=null!==(s=r.smashWidth)&&void 0!==s&&s}static fromJson(e,t){return new mh(e.command,e.body,t,e)}toJson(){const e={};return this.isInvisible&&(e.isInvisible=!0),this.smashDepth&&(e.smashDepth=!0),this.smashHeight&&(e.smashHeight=!0),this.smashWidth&&(e.smashWidth=!0),{...super.toJson(),...e}}render(e){const t=new Jl(e,{isPhantom:!0});if(!this.smashDepth&&!this.smashHeight&&!this.smashWidth)return console.assert(this.isInvisible),ac.createBox(t,this.body,{classes:"inner"});const i=ac.createBox(this.isInvisible?t:e,this.body);if(!i)return null;if(this.smashWidth){const t=new zu(null,{classes:"fix"});return new zu([i,t],{classes:"rlap"}).wrap(e)}if(!this.smashHeight&&!this.smashDepth)return i;if(this.smashHeight&&(i.height=0),this.smashDepth&&(i.depth=0),i.children)for(const r of i.children)this.smashHeight&&(r.height=0),this.smashDepth&&(r.depth=0);return new Pu({firstBaseline:[{box:i}]},{type:"mord"}).wrap(e)}}class fh extends ac{constructor(e,t,i){var r;super("rule",t,{command:e,style:i.style}),this.shift=null!==(r=i.shift)&&void 0!==r?r:{dimension:0},this.height=i.height,this.width=i.width}static fromJson(e,t){return new fh(e.command,t,e)}toJson(){const e={height:this.height,width:this.width};return this.shift&&(e.shift=this.shift),{...super.toJson(),...e}}render(e){const t=new Jl(e,this.style,"textstyle"),i=Zl(this.shift),r=Zl(this.width),n=Zl(this.height),a=new zu(null,{classes:"rule",type:"mord"});return a.setStyle("border-right-width",r,"em"),a.setStyle("border-top-width",n,"em"),a.setStyle("border-color",this.style.color),a.setStyle("vertical-align",i,"em"),this.isSelected&&a.setStyle("opacity","50%"),a.width=r,a.height=n+i,a.depth=-i,this.bind(e,a),this.caret&&(a.caret=this.caret),a.wrap(t)}serialize(e){var t;let i=null!==(t=this.command)&&void 0!==t?t:"";return this.shift&&(i+=`[${Xl(this.shift)}]`),i+=`{${Xl(this.width)}}{${Xl(this.height)}}`,i}}class gh extends ac{constructor(e,t,i){var r;super("surd",t,{command:e,mode:null!==(r=i.mode)&&void 0!==r?r:"math",style:i.style,displayContainsHighlight:!0}),this.body=i.body,this.above=i.index}static fromJson(e,t){return new gh(e.command,t,{...e,index:e.above})}toJson(){return super.toJson()}serialize(e){let t="";return this.above&&(t+=`[${this.aboveToLatex(e)}]`),t+=`{${this.bodyToLatex(e)}}`,this.command+t}render(e){var t;const i=new Jl(e,this.style,"cramp"),r=null!==(t=ac.createBox(i,this.body,{style:this.style,newList:!0}))&&void 0!==t?t:new zu(null),n=i.scalingFactor,a=i.metrics.defaultRuleThickness/n,o=e.isDisplayStyle?Tl:a,s=new zu(null,{classes:"ML__sqrt-line",style:this.style,height:a});let l=n*(a+o/4);const u=Math.max(2*n*o,r.height+r.depth),c=u+l+a,h=new Jl(e,this.style),d=this.isSelected?" ML__selected":"",p=this.bind(h,new zu(zc("","\\surd",c,!1,h,{classes:d}),{classes:"ML__sqrt-sign"+d,style:this.style}));if(!p)return null;const m=p.height+p.depth-a;m>r.height+r.depth+l&&(l=(l+m-(r.height+r.depth))/2),p.setTop(p.height-r.height-l);const f=this.bind(e,new Pu({firstBaseline:[{box:new zu(r)},l-2*a,{box:s},a]}).wrap(e)),g=ac.createBox(new Jl(e,this.style,"scriptscriptstyle"),this.above,{style:this.style,newList:!0});if(!g){const t=new zu([p,f],{classes:this.containsCaret?"ML__contains-caret":"",type:"mord"});return this.caret&&(t.caret=this.caret),this.bind(e,t.wrap(e))}const v=new Pu({shift:-.6*(Math.max(p.height,f.height)-Math.max(p.depth,f.depth)),children:[{box:g}]}),y=new zu([new zu(v,{classes:"ML__sqrt-index"}),p,f],{type:"mord",classes:this.containsCaret?"ML__contains-caret":""});return y.height=p.height,y.depth=p.depth,this.caret&&(y.caret=this.caret),this.bind(e,y.wrap(e))}}function vh(e,t){if(vs(e))return e.map((e=>vh(e,t)));e={...e};for(const n of ic)e[n]&&(e[n]=vh(e[n],t));e.array&&(e.array=vh(e.array,t));const i=e.type;let r;"accent"===i&&(r=Gc.fromJson(e,t)),"array"===i&&(r=Qc.fromJson(e,t)),"box"===i&&(r=Yc.fromJson(e,t)),"composition"===i&&(r=Xc.fromJson(e,t)),"chem"===i&&(r=Jc.fromJson(e,t)),"delim"===i&&(r=rh.fromJson(e,t)),"enclose"===i&&(r=ah.fromJson(e,t)),"error"===i&&(r=Bc.fromJson(e,t)),"genfrac"===i&&(r=oh.fromJson(e,t)),"group"===i&&(r=uc.fromJson(e,t)),"latex"===i&&(r=sh.fromJson(e,t)),"latexgroup"===i&&(r=lh.fromJson(e,t)),"leftright"===i&&(r=Ec.fromJson(e,t)),"line"===i&&(r=uh.fromJson(e,t)),"macro"===i&&(r=Ic.fromJson(e,t)),"msubsup"===i&&(r=_c.fromJson(e,t)),"overlap"===i&&(r=hh.fromJson(e,t)),"overunder"===i&&(r=dh.fromJson(e,t)),"placeholder"===i&&(e.defaultValue&&(e.defaultValue=vh(e.defaultValue,t)),r=Tc.fromJson(e,t)),"phantom"===i&&(r=mh.fromJson(e,t)),"rule"===i&&(r=fh.fromJson(e,t)),"sizeddelim"===i&&(r=nh.fromJson(e,t)),"spacing"===i&&(r=cc.fromJson(e,t)),"surd"===i&&(r=gh.fromJson(e,t)),"text"===i&&(r=qc.fromJson(e,t)),"mop"===i&&(r=ch.fromJson(e,t)),r||(r=ac.fromJson(e,t));for(const n of ic)e[n]&&r.setChildren(e[n],n);return void 0!==e.verbatimLatex&&(r.verbatimLatex=e.verbatimLatex),e.subsupPlacement&&(r.subsupPlacement=e.subsupPlacement),e.explicitSubsupPlacement&&(r.explicitSubsupPlacement=!0),e.isFunction&&(r.isFunction=!0),e.isExtensibleSymbol&&(r.isExtensibleSymbol=!0),e.skipBoundary&&(r.skipBoundary=!0),e.captureSelection&&(r.captureSelection=!0),r}function yh(){const e=String((new Error).stack).replace(/^Error.*\n/,"").split("\n");if(0===e.length)return console.error(`Can't use relative paths to specify assets location because the sourcefile location could not be determined (unexpected stack trace format "${(new Error).stack}").`),"";let t=e[1],i=t.match(/http.*\.ts[\?:]/);return i&&(t=e[2]),i=t.match(/(https?:.*):[0-9]+:[0-9]+/),i||(i=t.match(/at (.*(\.ts))[\?:]/),i||(i=t.match(/at (.*(\.mjs|\.js))[\?:]/))),i?i[1]:(console.error(e),console.error(`Can't use relative paths to specify assets location because the source file location could not be determined 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t=["KaTeX_Main","KaTeX_Math","KaTeX_AMS","KaTeX_Caligraphic","KaTeX_Fraktur","KaTeX_SansSerif","KaTeX_Script","KaTeX_Typewriter","KaTeX_Size1","KaTeX_Size2","KaTeX_Size3","KaTeX_Size4"],i=Array.from(document.fonts).map((e=>e.family));if(t.every((e=>i.includes(e))))return;const n=wh(null!==e&&void 0!==e?e:"./fonts");if(!n)return;document.body.classList.add("ML__fonts-loading");const 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a=n/r;if(a=isNaN(a)?1:a,i.selectionIsCollapsed){setTimeout((()=>Yp(e)),32);let r=i.at(i.position);while(r&&(!r.containsCaret||!r.displayContainsHighlight))r=r.parent;if((null===r||void 0===r?void 0:r.containsCaret)&&r.displayContainsHighlight){const i=qp(e,Op(e,r));if(i){i.left/=a,i.right/=a,i.top/=a,i.bottom/=a;const e=document.createElement("div");e.classList.add("ML__contains-highlight"),e.style.position="absolute",e.style.left=`${i.left}px`,e.style.top=`${i.top}px`,e.style.width=`${Math.ceil(i.right-i.left)}px`,e.style.height=`${Math.ceil(i.bottom-i.top-1)}px`,t.insertBefore(e,t.childNodes[0])}}}else for(const o of am(Fp(e,{excludeAtomsWithBackground:!0}))){o.left/=a,o.right/=a,o.top/=a,o.bottom/=a;const e=document.createElement("div");e.classList.add("ML__selection"),e.style.position="absolute",e.style.left=`${o.left}px`,e.style.top=`${o.top}px`,e.style.width=`${Math.ceil(o.right-o.left)}px`,e.style.height=`${Math.ceil(o.bottom-o.top-1)}px`,t.insertBefore(e,t.childNodes[0])}}function am(e){let t=[];for(const i of e){let e=!1;for(const r of t)if(i.left===r.left&&i.right===r.right&&i.top===r.top&&i.bottom===r.bottom){e=!0;break}e||t.push(i)}e=t,t=[];for(const i of e){let r=0;for(const t of e)if(i.left>=t.left&&i.right<=t.right&&i.top>=t.top&&i.bottom<=t.bottom&&(r+=1,r>1))break;1===r&&t.push(i)}return t}function om(e,t){if(e.direction===t.direction){const i=e.ranges.length;if(t.ranges.length===i){let r=0;while(r<i&&"equal"===sm(e.ranges[r],t.ranges[r]))r++;return r===i?"equal":"different"}}return"different"}function sm(e,t){return e[0]===t[0]&&e[1]===t[1]?"equal":"different"}function lm(e){let t=1/0,i=-1/0;for(const r of e.ranges)t=Math.min(t,r[0],r[1]),i=Math.max(i,r[0],r[1]);return[t,i]}function um(e){var t;"function"!==typeof(null===(t=e.listeners)||void 0===t?void 0:t.onSelectionDidChange)||e.suppressChangeNotifications||(e.suppressChangeNotifications=!0,e.listeners.onSelectionDidChange(e),e.suppressChangeNotifications=!1)}function cm(e,t={}){if(e.suppressChangeNotifications||!e.mathfield.host)return!0;e.suppressChangeNotifications=!0;const i=e.mathfield.host.dispatchEvent(new InputEvent("beforeinput",{...t,cancelable:!0,bubbles:!0,composed:!0}));return e.suppressChangeNotifications=!1,i}function hm(e,t){!e.suppressChangeNotifications&&e.mathfield.host&&(e.suppressChangeNotifications=!0,e.mathfield.host.dispatchEvent(new InputEvent("input",{...t,bubbles:!0,composed:!0})),e.suppressChangeNotifications=!1)}function dm(e,t){!e.suppressChangeNotifications&&e.mathfield.host&&(e.suppressChangeNotifications=!0,e.mathfield.host.dispatchEvent(new CustomEvent("placeholder-change",{detail:{placeholderId:t},bubbles:!0,composed:!0})),e.suppressChangeNotifications=!1)}const pm="$$",mm="$$",fm=(e,t,i)=>(Dh.some((e=>t.startsWith(e[0])&&t.endsWith(e[1])))||(t=`${pm} ${t} ${mm}`),t);class gm{constructor(e){gm._registry[e]=this}static onPaste(e,t,i){var r;const n=new ClipboardEvent("paste",{clipboardData:i.clipboardData,cancelable:!0});return!!(null===(r=t.host)||void 0===r?void 0:r.dispatchEvent(n))&&gm._registry[e].onPaste(t,i)}static onCopy(e,t){if(!t.clipboardData)return;const i=e.model,r=i.selectionIsCollapsed?[0,i.lastOffset]:lm(i.selection);let n=i.getAtoms(r);if(n.every((e=>"text"===e.mode||!e.mode)))t.clipboardData.setData("text/plain",n.filter((e=>e instanceof qc)).map((e=>e.value)).join(""));else if(n.every((e=>"latex"===e.mode)))t.clipboardData.setData("text/plain",i.getAtoms(r,{includeChildren:!0}).map((e=>{var t;return null!==(t=e.value)&&void 0!==t?t:""})).join(""));else{let a;a=1===n.length&&void 0!==n[0].verbatimLatex?n[0].verbatimLatex:i.getValue(r,"latex-expanded"),t.clipboardData.setData("application/x-latex",a);try{t.clipboardData.setData("text/plain",e.options.onExport(e,a,r))}catch{}1!==n.length||"root"!==n[0].type&&"group"!==n[0].type||(n=n[0].body.filter((e=>"first"!==e.type)));try{t.clipboardData.setData("application/json+mathlive",JSON.stringify(n.map((e=>e.toJson()))))}catch{}try{const i=e.computeEngine;i.jsonSerializationOptions={metadata:["latex"]};const r=i.parse(a),n=JSON.stringify(r.json);n&&t.clipboardData.setData("application/json",n)}catch{}}t.preventDefault()}static insert(e,t,i,r={}){return gm._registry[e].insert(t,i,r)}onPaste(e,t){return!1}insert(e,t,i){return!1}}gm._registry={};class vm extends gm{constructor(){super("latex")}createAtom(e,t,i){return new sh(e,t)}onPaste(e,t){if(!t.clipboardData)return!1;let i=t.clipboardData.getData("text/x-latex");return i||(i=t.clipboardData.getData("text/plain")),!(!i||!cm(e.model,{inputType:"insertFromPaste",data:i}))&&(e.snapshot(),this.insert(e.model,i)&&(hm(e.model,{inputType:"insertFromPaste"}),im(e)),t.preventDefault(),t.stopPropagation(),!0)}insert(e,t,i){if(!cm(e,{data:t,inputType:"insertText"}))return!1;i||(i={}),i.insertionMode||(i.insertionMode="replaceSelection"),i.selectionMode||(i.selectionMode="placeholder");const{suppressChangeNotifications:r}=e;i.suppressChangeNotifications&&(e.suppressChangeNotifications=!0);const n=e.suppressChangeNotifications;e.suppressChangeNotifications=!0,"replaceSelection"!==i.insertionMode||e.selectionIsCollapsed?"replaceAll"===i.insertionMode?(e.root.setChildren([],"body"),e.position=0):"insertBefore"===i.insertionMode?e.collapseSelection("backward"):"insertAfter"===i.insertionMode&&e.collapseSelection("forward"):e.deleteAtoms(lm(e.selection));const a=[];for(const l of t)Bs.test(l)&&a.push(new sh(l,e.mathfield));let o=e.at(e.position);if(o instanceof lh&&(o=o.lastChild),!(o.parent instanceof lh)){const t=new lh("",e.mathfield);o.parent.addChildAfter(t,o),o=t.firstChild}const s=o.parent.addChildrenAfter(a,o);return e.suppressChangeNotifications=n,"before"===i.selectionMode||("item"===i.selectionMode?e.setSelection(e.anchor,e.offsetOf(s)):s&&(e.position=e.offsetOf(s))),hm(e,{data:t,inputType:"insertText"}),e.suppressChangeNotifications=r,!0}}function ym(e){return e.atoms.find((e=>e instanceof lh))}function bm(e){var t,i;const r=e.atoms.find((e=>e instanceof lh));return r&&null!==(i=null===(t=r.body)||void 0===t?void 0:t.filter((e=>e instanceof sh)))&&void 0!==i?i:[]}function wm(e,t){var i;let r=0,n=!1;const a=Number.isFinite(null===t||void 0===t?void 0:t.before)?null!==(i=null===t||void 0===t?void 0:t.before)&&void 0!==i?i:0:e.lastOffset;while(r<=a&&!n){const t=e.at(r);n=t instanceof sh&&t.isSuggestion,n||r++}if(!n)return[void 0,void 0];let o=r,s=!1;while(o<=a&&!s){const t=e.at(o);s=!(t instanceof sh&&t.isSuggestion),s||o++}return[r-1,o-1]}function xm(e){const t=bm(e.model).filter((e=>e.isSuggestion));if(0!==t.length){e.model.position=e.model.offsetOf(t[0].leftSibling);for(const e of t)e.parent.removeChild(e)}}function Am(e,t){var i;const{model:r}=e;xm(e);for(const u of bm(r))u.isError=!1;if(!r.selectionIsCollapsed)return void Jp(e);const n=[];let a=r.at(r.position);while(a&&a instanceof sh&&/^[a-zA-Z\*]$/.test(a.value))a=a.leftSibling;if(a&&a instanceof sh&&"\\"===a.value){n.push(a),a=a.rightSibling;while(a&&a instanceof sh&&/^[a-zA-Z\*]$/.test(a.value))n.push(a),a=a.rightSibling}const o=n.map((e=>e.value)).join(""),s=o?js(e,o):[];if(0===s.length)return/^\\[a-zA-Z\*]+$/.test(o)&&n.forEach((e=>{e.isError=!0})),void Jp(e);e.suggestionIndex=null!==(i=null===t||void 0===t?void 0:t.atIndex)&&void 0!==i?i:0,e.suggestionIndex<0&&(e.suggestionIndex=s.length-1);const l=s[e.suggestionIndex%s.length];if(l!==o){const t=n[n.length-1];t.parent.addChildrenAfter([...l.slice(o.length-l.length)].map((t=>new sh(t,e,{isSuggestion:!0}))),t),im(e)}Zp(e,l,s.length>1)}function km(e){const[t,i]=wm(e,{before:e.position});if(void 0===t||void 0===i)return!1;let r=!1;return e.getAtoms([t,i]).forEach((e=>{e.isSuggestion&&(e.isSuggestion=!1,r=!0)})),r}function Sm(e,t="accept",i){var r,n;Jp(e);const a=ym(e.model);if(!a)return!1;if("accept-suggestion"===t){const t=bm(e.model).filter((e=>e.isSuggestion));if(0===t.length)return!1;for(const e of t)e.isSuggestion=!1;return e.model.position=e.model.offsetOf(t[t.length-1]),!0}const o=bm(e.model).filter((e=>!e.isSuggestion)),s=o.map((e=>e.value)).join(""),l=a.leftSibling;return a.parent.removeChild(a),e.model.position=e.model.offsetOf(l),e.mode=null!==(r=null===i||void 0===i?void 0:i.mode)&&void 0!==r?r:"math","reject"===t||(gm.insert("math",e.model,s,{selectionMode:null!==(n=null===i||void 0===i?void 0:i.selectItem)&&void 0!==n&&n?"item":"placeholder",format:"latex"}),e.snapshot(),e.model.announce("replacement")),!0}new vm;const Mm=3,Nm={};function zm(e,t){t=null!==t&&void 0!==t?t:{target:"mathfield",canUndo:!1};for(const i of Object.keys(e))console.assert(!Nm[i],"Selector already defined: ",i),Nm[i]={...t,fn:e[i]}}function Lm(e){var t;let i;return i=vs(e)?e[0]:e,i=i.replace(/-\w/g,(e=>e[1].toUpperCase())),null===(t=Nm[i])||void 0===t?void 0:t.target}function Cm(e,t){var i,r,n;if(!t)return!1;let a,o=[],s=!1,l=!1;vs(t)?(a=t[0],o=t.slice(1)):a=t,a=a.replace(/-\w/g,(e=>e[1].toUpperCase()));const u=null===(i=Nm[a])||void 0===i?void 0:i.target;if("model"===u){if(e.options.readOnly&&/^(paste|cut|insert|delete|transpose|add)/.test(a))return e.model.announce("plonk"),!1;/^(delete|transpose|add)/.test(a)&&"deleteBackward"!==a&&e.flushInlineShortcutBuffer(),/^(delete|transpose|add)/.test(a)&&"latex"!==e.mode&&(e.popUndoStack(),e.snapshot()),"latex"!==e.mode||/^(complete)/.test(a)||xm(e),Nm[a].fn(e.model,...o),"latex"!==e.mode&&/^(delete|transpose|add)/.test(a)&&e.snapshot(),"latex"===e.mode&&Am(e),l=!0,s=!0}else if("virtual-keyboard"===u)l=null!==(n=null===(r=e.virtualKeyboard)||void 0===r?void 0:r.executeCommand(t))&&void 0!==n&&n,s=!0;else{if(!Nm[a])throw new Error(`Unknown command "${a}"`);/^(undo|redo)/.test(a)&&e.flushInlineShortcutBuffer(),l=Nm[a].fn(e,...o),s=!0}return"virtual-keyboard"!==u&&(e.model.selectionIsCollapsed&&!/^(transpose|paste|complete|((moveToNextChar|moveToPreviousChar|extend).*))_$/.test(a)||(e.flushInlineShortcutBuffer(),e.style={})),l&&im(e),s}function Em(e,t){var i,r,n;e.focus(),e.options.keypressVibration&&xs()&&navigator.vibrate(Mm),t=t.replace(/-\w/g,(e=>e[1].toUpperCase())),"moveToNextPlaceholder"===t||"moveToPreviousPlaceholder"===t||"complete"===t?null===(i=e.returnKeypressSound)||void 0===i||i.play().catch(console.warn):"deleteBackward"===t||"deleteForward"===t||"deletePreviousWord"===t||"deleteNextWord"===t||"deleteToGroupStart"===t||"deleteToGroupEnd"===t||"deleteToMathFieldStart"===t||"deleteToMathFieldEnd"===t?null===(r=e.deleteKeypressSound)||void 0===r||r.play().catch(console.warn):null===(n=e.keypressSound)||void 0===n||n.play().catch(console.warn);const a=e.executeCommand(t);return e.scrollIntoView(),a}function _m(e){return Am(e,{atIndex:e.suggestionIndex+1}),!1}function Tm(e){return Am(e,{atIndex:e.suggestionIndex-1}),!1}zm({performWithFeedback:(e,t)=>Em(e,t)}),zm({complete:Sm,nextSuggestion:_m,previousSuggestion:Tm},{target:"mathfield",category:"autocomplete"});class Bm{constructor(e){var t,i;this.preventOverlayClose=null!==(t=null===e||void 0===e?void 0:e.preventOverlayClose)&&void 0!==t&&t,this.translucent=null!==(i=null===e||void 0===e?void 0:e.translucent)&&void 0!==i&&i,this.state="closed"}get element(){if(this._element)return this._element;const e=document.createElement("div");return e.setAttribute("role","presentation"),e.style.position="fixed",e.style.contain="content",e.style.top="0",e.style.left="0",e.style.right="0",e.style.bottom="0",e.style.zIndex="var(--scrim-zindex, 10099)",e.style.outline="none",this.translucent?(e.style.background="rgba(255, 255, 255, .2)",e.style["backdropFilter"]="contrast(40%)"):e.style.background="transparent",this._element=e,e}open(e){var t;if("closed"!==this.state)return;this.state="opening",this.savedActiveElement=Im();const{element:i}=this;(null!==(t=null===e||void 0===e?void 0:e.root)&&void 0!==t?t:document.body).appendChild(i),i.addEventListener("click",this),document.addEventListener("touchmove",this,!1),document.addEventListener("scroll",this,!1);const r=window.innerWidth-document.documentElement.clientWidth;this.savedMarginRight=document.body.style.marginRight,this.savedOverflow=document.body.style.overflow,document.body.style.overflow="hidden";const n=Number.parseFloat(getComputedStyle(document.body).marginRight);document.body.style.marginRight=`${n+r}px`,(null===e||void 0===e?void 0:e.child)&&i.append(e.child),this.state="open"}close(){var e,t,i,r;if("open"!==this.state)return;this.state="closing","function"===typeof this.onClose&&this.onClose();const{element:n}=this;n.removeEventListener("click",this),document.removeEventListener("touchmove",this,!1),document.removeEventListener("scroll",this,!1),n.remove(),document.body.style.overflow=null!==(e=this.savedOverflow)&&void 0!==e?e:"",document.body.style.marginRight=null!==(t=this.savedMarginRight)&&void 0!==t?t:"",Im()!==this.savedActiveElement&&(null===(r=null===(i=this.savedActiveElement)||void 0===i?void 0:i.focus)||void 0===r||r.call(i)),n.innerHTML="",this.state="closed"}handleEvent(e){this.preventOverlayClose||(e.target===this._element&&"click"===e.type?(this.close(),e.preventDefault(),e.stopPropagation()):e.target!==document||"touchmove"!==e.type&&"scroll"!==e.type||(this.close(),e.preventDefault(),e.stopPropagation()))}}function Im(){var e;let t=document.activeElement;while(null===(e=null===t||void 0===t?void 0:t.shadowRoot)||void 0===e?void 0:e.activeElement)t=t.shadowRoot.activeElement;return t}let qm;function Dm(e,t){var i;bs();const r=Um[t],n=document.createElement("div");n.setAttribute("aria-hidden","true"),n.className="ML__keyboard alternate-keys"+(e.element.classList.contains("material")?" material":""),n.id="mathlive-alternate-keys-panel",r.length>=14?n.style.width="236px":r.length>=7?n.style.width="286px":4===r.length||2===r.length?n.style.width="146px":1===r.length?n.style.width="86px":n.style.width="146px",n.style.height="auto";let a="";for(const l of r)a+="<li","string"===typeof l?a+=' data-latex="'+l.replace(/"/g,"&quot;")+'"':(l.latex&&(a+=' data-latex="'+l.latex.replace(/"/g,"&quot;")+'"'),l.content&&(a+=' data-content="'+l.content.replace(/"/g,"&quot;")+'"'),l.insert&&(a+=' data-insert="'+l.insert.replace(/"/g,"&quot;")+'"'),l.command&&("string"===typeof l.command?a+=` data-command="${l.command.replace(/"/g,"&quot;")}"`:a+=" data-command='"+JSON.stringify(l.command).replace(/"/g,"&quot;")+"'"),l.aside&&(a+=` data-aside="${l.aside.replace(/"/g,"&quot;")}"`),l.class&&(a+=` data-classes="${l.class}"`)),a+=">",a+="string"===typeof l?l:null!==(i=l.label)&&void 0!==i?i:"",a+="</li>";a="<ul>"+a+"</ul>",n.innerHTML=e.options.createHTML(a),jm(e,[...n.querySelectorAll("li")],"performAlternateKeys"),Bm.scrim||(Bm.scrim=new Bm),Bm.scrim.open({root:e.options.virtualKeyboardContainer,child:n});const o=null===e||void 0===e?void 0:e.element.querySelector('div.keyboard-layer.is-visible div.rows ul li[data-alt-keys="'+t+'"]'),s=null===o||void 0===o?void 0:o.getBoundingClientRect();if(s){s.top-n.clientHeight<0&&(n.style.width="auto",r.length<=6?n.style.height="56px":r.length<=12?n.style.height="108px":r.length<=18?n.style.height="205px":n.classList.add("compact"));const e=(s.top-n.clientHeight+5).toString()+"px",t=Math.max(0,Math.min(window.innerWidth-n.offsetWidth,(s.left+s.right-n.offsetWidth)/2))+"px";n.style.transform="translate("+t+","+e+")",n.classList.add("is-visible")}return!1}function Om(){var e;bs();const t=document.querySelector("#mathlive-alternate-keys-panel");return t&&(t.classList.remove("is-visible"),t.innerHTML=""),null===(e=Bm.scrim)||void 0===e||e.close(),!1}class Rm{constructor(e,t){this.originalContainerBottomPadding=null,this.options=e,this.visible=!1,this._mathfield=t,this.coreStylesheet=null,this.virtualKeyboardStylesheet=null}setOptions(e){var t,i;let r="";if(this._element){const e=this._element.querySelector("div.keyboard-layer.is-visible");e&&(r=null!==(t=e.getAttribute("data-layer"))&&void 0!==t?t:""),this._element.remove(),this._element=void 0}if(this.options=e,this.visible){this.buildAndAttachElement(e.virtualKeyboardTheme);const t=this.element.querySelector(`.keyboard-layer[data-layer="${r}"]`);t&&(null===(i=this.element.querySelector(".keyboard-layer.is-visible"))||void 0===i||i.classList.remove("is-visible"),t.classList.add("is-visible")),this.element.classList.add("is-visible")}}get element(){return this._element}set element(e){var t;this._element!==e&&(null===(t=this._element)||void 0===t||t.remove(),this._element=e)}get visible(){return this._visible}set visible(e){this._visible=e}get height(){var e,t;return null!==(t=null===(e=this.element)||void 0===e?void 0:e.offsetHeight)&&void 0!==t?t:0}buildAndAttachElement(e){var t;this.element=Wm(this,null!==e&&void 0!==e?e:""),zp(this.element,"touchstart:passive mousedown",(()=>this.focusMathfield())),null===(t=this.options.virtualKeyboardContainer)||void 0===t||t.appendChild(this.element)}handleEvent(e){if(this.element)switch(e.type){case"mouseup":case"blur":case"touchend":case"touchcancel":document.body.style.userSelect="",Zm(this);break}}focusMathfield(){var e,t;null===(t=null===(e=this._mathfield)||void 0===e?void 0:e.focus)||void 0===t||t.call(e)}blurMathfield(){var e,t;null===(t=null===(e=this._mathfield)||void 0===e?void 0:e.blur)||void 0===t||t.call(e)}stateChanged(){var e,t;null===(t=null===(e=this._mathfield)||void 0===e?void 0:e.element)||void 0===t||t.dispatchEvent(new Event("virtual-keyboard-toggle",{bubbles:!0,cancelable:!1,composed:!0}))}executeCommand(e){var t,i,r;let n,a=[];return vs(e)?(n=e[0],a=e.slice(1)):n=e,n=n.replace(/-\w/g,(e=>e[1].toUpperCase())),"virtual-keyboard"===(null===(t=Nm[n])||void 0===t?void 0:t.target)?Nm[n].fn(this,...a):null!==(r=null===(i=this._mathfield)||void 0===i?void 0:i.executeCommand(e))&&void 0!==r&&r}create(){this.virtualKeyboardStylesheet||(qm||(qm=Hc(Np).toString(36)),this.virtualKeyboardStylesheet=Kc(null,Np,qm)),this.coreStylesheet||(this.coreStylesheet=Kc(null,Uc,Hc(Uc).toString(36))),kh(this.options.fontsDirectory)}enable(){ys()&&(window.addEventListener("mouseup",this),window.addEventListener("blur",this),window.addEventListener("touchend",this),window.addEventListener("touchcancel",this))}disable(){ys()&&(window.removeEventListener("mouseup",this),window.removeEventListener("blur",this),window.removeEventListener("touchend",this),window.removeEventListener("touchcancel",this))}dispose(){}}const Fm={numeric:{tooltip:"keyboard.tooltip.numeric",layer:"math",label:"123",layers:["math"]},roman:{tooltip:"keyboard.tooltip.roman",layer:"lower-roman",label:"ABC",layers:["lower-roman","upper-roman"]},greek:{tooltip:"keyboard.tooltip.greek",layer:"lower-greek",label:"&alpha;&beta;&gamma;",classes:"tex-math",layers:["lower-greek","upper-greek"]},functions:{tooltip:"keyboard.tooltip.functions",layer:"functions",label:"<i>f</i>&thinsp;()",classes:"tex",layers:["functions"]},symbols:{tooltip:"keyboard.tooltip.symbols",layer:"symbols",label:"&infin;≠∈",classes:"tex",layers:["symbols"]},latex:{tooltip:"keyboard.tooltip.command",command:["switchMode","latex"],label:"<svg class=\"svg-glyph\"><use xlink:href='#svg-command' /></svg>",layers:["latex-lower","latex-upper","latex-symbols"]},style:{tooltip:"keyboard.tooltip.style",layer:"style",label:"<b>b</b><i>i</i>𝔹"}},Pm={"\\varphi ":["&Phi;","\\Phi "],"\\varsigma ":["&Sigma;","\\Sigma "],"\\epsilon ":["&#x0190;",'\\char"0190'],"\\rho ":["&#x3A1",'\\char"3A1'],"\\tau ":["&#x3A4;",'\\char"3A4'],"\\upsilon ":["&Upsilon;","\\Upsilon "],"\\theta ":["&Theta;","\\Theta "],"\\iota ":["&Iota;",'\\char"399'],"\\omicron ":["&#x039F;",'\\char"39F'],"\\pi ":["&Pi;","\\Pi "],"\\alpha ":["&Alpha;",'\\char"391'],"\\sigma ":["&Sigma;","\\Sigma "],"\\delta ":["&Delta;","\\Delta "],"\\phi ":["&#x03a6;","\\Phi "],"\\gamma ":["&Gamma;","\\Gamma "],"\\eta ":["&Eta;",'\\char"397'],"\\xi ":["&Xi;","\\Xi "],"\\kappa ":["&Kappa;",'\\char"39A'],"\\lambda ":["&Lambda;","\\Lambda "],"\\zeta ":["&Zeta;",'\\char"396'],"\\chi ":["&Chi;",'\\char"3A7'],"\\psi ":["&Psi;","\\Psi "],"\\omega ":["&Omega;","\\Omega "],"\\beta ":["&Beta;",'\\char"392'],"\\nu ":["&Nu;",'\\char"39D'],"\\mu ":["&Mu;",'\\char"39C']},Vm={0:["\\emptyset","\\varnothing","\\infty",{latex:"#?_0",insert:"#@_0"},"\\circ","\\bigcirc","\\bullet"],2:["\\frac{1}{2}",{latex:"#?^2",insert:"#@^2"}],3:["\\frac{1}{3}",{latex:"#?^3",insert:"#@^3"}],".":[".",",",";","\\colon",{latex:":",aside:"ratio"},{latex:"\\cdotp",aside:"center dot",class:"box"},{latex:"\\cdots",aside:"center ellipsis",class:"box"},{latex:"\\ldotp",aside:"low dot",class:"box"},{latex:"\\ldots",aside:"low ellipsis",class:"box"},{latex:"\\vdots",aside:"",class:"box"},{latex:"\\ddots",aside:"",class:"box"},"\\odot","\\oslash","\\circledcirc"],"*":["\\cdot","\\ast","\\star","\\bigstar","\\ltimes","\\rtimes","\\rightthreetimes","\\leftthreetimes","\\intercal","\\prod",{latex:"\\prod_{n\\mathop=0}^{\\infty}",class:"small"}],"+":["\\pm","\\mp","\\sum",{latex:"\\sum_{n\\mathop=0}^{\\infty}",class:"small"},"\\dotplus","\\oplus"],"-":["\\pm","\\mp","\\ominus","\\vert #0  \\vert"],"/":["\\divideontimes","/","\\div","\\%"],"(":["\\left( #0\\right)","\\left[ #0\\right]","\\left\\{ #0\\right\\}","\\left\\langle #0\\right\\rangle","\\lfloor","\\llcorner","(","\\lbrack","\\lvert","\\lVert","\\lgroup","\\langle","\\lceil","\\ulcorner","\\lmoustache","\\lbrace"],")":["\\rfloor","\\lrcorner",")","\\rbrack","\\rvert","\\rVert","\\rgroup","\\rangle","\\rceil","\\urcorner","\\rmoustache","\\rbrace"],"=":["\\cong","\\asymp","\\equiv","\\differencedelta","\\varpropto","\\thickapprox","\\approxeq","\\thicksim","\\backsim","\\eqsim","\\simeq","\\Bumpeq","\\bumpeq","\\doteq","\\Doteq","\\fallingdotseq","\\risingdotseq","\\coloneq","\\eqcirc","\\circeq","\\triangleq","\\between"],"!=":["\\neq","\\ncong","","\\nsim"],"<":["\\leq","\\leqq","\\lneqq","\\ll","\\lessgtr","\\nless","\\nleq","\\lesssim","\\precsim","\\prec","\\nprec","\\preccurlyeq","\\lessdot"],">":["\\geq","\\geqq","\\gneqq","\\gg","\\gtrless","\\ngtr","\\ngeq","\\gtrsim","\\succsim","\\succ","\\nsucc","\\succcurlyeq","\\gtrdot"],in:["\\owns"],"!in":["\\backepsilon"],subset:["\\subseteq","\\nsubset","\\nsubseteq"],superset:["\\supseteq","\\nsupset","\\nsupseteq"],infinity:["\\aleph_0","\\aleph_1","\\omega","\\mathfrak{m}"],"numeric-pi":["\\prod","\\theta","\\rho","\\sin","\\cos","\\tan"],ee:["\\times 10^{#?}","\\ln","\\ln_{10}","\\log"],"^":["_{#?}"],int:[{latex:"\\int_{#?}^{#?}",class:"small"},{latex:"\\int",class:"small"},{latex:"\\smallint",class:"small"},{latex:"\\iint",class:"small"},{latex:"\\iiint",class:"small"},{latex:"\\oint",class:"small"},{latex:"\\dfrac{\\rd}{\\rd x}",class:"small"},{latex:"\\frac{\\partial}{\\partial x}",class:"small"},"\\capitalDifferentialD","\\rd","\\partial"],nabla:["\\nabla\\times","\\nabla\\cdot","\\nabla^{2}"],"!":["!!","\\Gamma","\\Pi"],accents:["\\bar{#@}","\\vec{#@}","\\hat{#@}","\\check{#@}","\\dot{#@}","\\ddot{#@}","\\mathring{#@}","\\breve{#@}","\\acute{#@}","\\tilde{#@}","\\grave{#@}"],underline:["\\underbrace{#@}","\\underlinesegment{#@}","\\underleftrightarrow{#@}","\\underrightarrow{#@}","\\underleftarrow{#@}","\\undergroup{#@}"],overline:["\\overbrace{#@}","\\overlinesegment{#@}","\\overleftrightarrow{#@}","\\overrightarrow{#@}","\\overleftarrow{#@}","\\overgroup{#@}"],xleftarrows:["\\xlongequal{}","\\xleftrightarrow{}","\\xLeftrightarrow{}","\\xleftrightharpoons{}","\\xLeftarrow{}","\\xleftharpoonup{}","\\xleftharpoondown{}","\\xtwoheadleftarrow{}","\\xhookleftarrow{}","\\xtofrom{}","\\xleftequilibrium{}","\\xrightleftarrows{}"],xrightarrows:["\\xlongequal{}","\\xleftrightarrow{}","\\xLeftrightarrow{}","\\xleftrightharpoons{}","\\xRightarrow{}","\\xrightharpoonup{}","\\xrightharpoondown{}","\\xtwoheadrightarrow{}","\\xrightleftharpoons{}","\\xhookrightarrow{}","\\xmapsto{}","\\xrightequilibrium{}","\\xrightleftarrows{}"],A:[{latex:"\\aleph",aside:"aleph"},{latex:"\\forall",aside:"for all"}],a:[{latex:"\\aleph",aside:"aleph"},{latex:"\\forall",aside:"for all"}],b:[{latex:"\\beth",aside:"beth"}],B:[{latex:"\\beth",aside:"beth"}],c:[{latex:"\\C",aside:"set of complex numbers"}],d:[{latex:"\\daleth",aside:"daleth"}],D:[{latex:"\\daleth",aside:"daleth"}],e:[{latex:"\\exponentialE",aside:"exponential e"},{latex:"\\exists",aside:"there is"},{latex:"\\nexists",aside:"there isn’t"}],g:[{latex:"\\gimel",aside:"gimel"}],G:[{latex:"\\gimel",aside:"gimel"}],h:[{latex:"\\hbar",aside:"h bar"},{latex:"\\hslash",aside:"h slash"}],i:[{latex:"\\imaginaryI",aside:"imaginary i"}],j:[{latex:"\\imaginaryJ",aside:"imaginary j"}],l:[{latex:"\\ell",aside:"ell"}],n:[{latex:"\\mathbb{N}",aside:"set of natural numbers"}],p:[{latex:"\\mathbb{P}",aside:"set of primes"}],q:[{latex:"\\mathbb{Q}",aside:"set of rational numbers"}],r:[{latex:"\\mathbb{R}",aside:"set of real numbers"}],z:[{latex:"\\mathbb{Z}",aside:"set of integers"}],"x-var":["y","z","t","r",{latex:"f(#?)",class:"small"},{latex:"g(#?)",class:"small"},"x^2","x^n","x_n","x_{n+1}","x_i","x_{i+1}"],"n-var":["i","j","p","k","a","u"],ii:["\\Re","\\Im","\\imaginaryJ","\\Vert #0 \\Vert"],logic:[{latex:"\\exists",aside:"there is"},{latex:"\\nexists",aside:"there isn’t"},{latex:"\\ni",aside:"such that"},{latex:"\\Colon",aside:"such that"},{latex:"\\implies",aside:"implies"},{latex:"\\impliedby",aside:"implied by"},{latex:"\\iff",aside:"if and only if"},{latex:"\\land",aside:"and"},{latex:"\\lor",aside:"or"},{latex:"\\oplus",aside:"xor"},{latex:"\\lnot",aside:"not"},{latex:"\\downarrow",aside:"nor"},{latex:"\\uparrow",aside:"nand"},{latex:"\\curlywedge",aside:"nor"},{latex:"\\bar\\curlywedge",aside:"nand"},{latex:"\\therefore",aside:"therefore"},{latex:"\\because",aside:"because"},{latex:"^\\biconditional",aside:"biconditional"},"\\leftrightarrow","\\Leftrightarrow","\\to","\\models","\\vdash","\\gets","\\dashv","\\roundimplies"],"set-operators":["\\cap","\\cup","\\setminus","\\smallsetminus","\\complement"],"set-relations":["\\in","\\notin","\\ni","\\owns","\\subset","\\supset","\\subseteq","\\supseteq","\\subsetneq","\\supsetneq","\\varsubsetneq","\\subsetneqq","\\nsubset","\\nsupset","\\nsubseteq","\\nsupseteq"],space:[{latex:'\\char"203A\\!\\char"2039',insert:"\\!",aside:"negative thin space<br>⁻³⧸₁₈ em"},{latex:'\\unicode{"203A}\\,\\unicode{"2039}',insert:"\\,",aside:"thin space<br>³⧸₁₈ em"},{latex:'\\unicode{"203A}\\:\\unicode{"2039}',insert:"\\:",aside:"medium space<br>⁴⧸₁₈ em"},{latex:'\\unicode{"203A}\\;\\unicode{"2039}',insert:"\\;",aside:"thick space<br>⁵⧸₁₈ em"},{latex:'\\unicode{"203A}\\ \\unicode{"2039}',insert:"\\ ",aside:"⅓ em"},{latex:'\\unicode{"203A}\\enspace\\unicode{"2039}',insert:"\\enspace",aside:"½ em"},{latex:'\\unicode{"203A}\\quad\\unicode{"2039}',insert:"\\quad",aside:"1 em"},{latex:'\\unicode{"203A}\\qquad\\unicode{"2039}',insert:"\\qquad",aside:"2 em"}],delete:[{label:'<span class="warning"><svg class="svg-glyph"><use xlink:href="#svg-trash" /></svg></span>',command:"deleteAll"}],"->|":[]};let Um={};const Km={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-latex='\\exponentialE' data-alt-keys='ee'>e</li>\n                <li class='keycap tex' data-latex='\\imaginaryI' 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-latex='#@^{2}' data-latex='x^2'></li>\n                <li class='keycap tex' data-alt-keys='^' data-insert='#@^{#?}' data-latex='x^\\placeholder'></li>\n                <li class='keycap tex small' 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 small' data-alt-keys='int' data-latex='\\int_0^\\infty'></li>\n                <li class='keycap' data-latex='\\forall' data-alt-keys='logic' ></li>\n                <li class='action font-glyph bottom right' data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deleteBackward\"]'><svg class=\"svg-glyph\"><use xlink:href=\"#svg-delete-backward\" /></svg></li></ul>\n            </ul>\n            <ul>\n                <li class='keycap' data-alt-keys='foreground-color' data-command='[\"applyStyle\",{\"color\":\"red\"}]'><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\":\"yellow\"}]'><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='keycap' >;</li>\n                <li class='keycap' >,</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='keycap' >;</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='in' data-insert='\\in '>&#x2208;</li>\n                <li class='keycap tex' data-alt-keys='!in' 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='superset' data-insert='\\supset '>&#x2283;</li>\n                <li class='keycap tex' data-key='!' data-alt-keys='!'>!<aside>factorial</aside></li>\n                <li class='keycap' data-latex='^{\\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-alt-keys='overline' data-latex='\\overline{#@}' data-aside='overline'></li>\n                <li class='keycap tex' data-alt-keys='underline' data-latex='\\underline{#@}' data-aside='underline'></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 small' data-alt-keys='xleftarrows' data-latex='\\xleftarrow{}' ></li>\n                <li class='keycap tex small' data-alt-keys='xrightarrows' data-latex='\\xrightarrow{}' ></li>\n                <li class='keycap tex' data-alt-keys='absnorm' data-insert='\\left| #0 \\right|' data-latex='\\left| #? \\right|' data-aside='abs'></li>\n\n                <li class='action font-glyph bottom right w15'\n                    data-shifted='<span class=\"warning\"><svg class=\"svg-glyph\"><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deleteBackward\"]'\n                ><svg class=\"svg-glyph\"><use xlink:href=\"#svg-delete-backward\" /></svg></li>\n            </ul>\n            <ul>\n                <row name='numpad-4' class='if-wide'/>\n                <li class='keycap tex' data-insert=','>,</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'><svg class=\"svg-glyph\"><use xlink:href=\"#svg-shift\" /></svg></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 class=\"svg-glyph\"><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deleteBackward\"]'\n                ><svg class=\"svg-glyph\"><use xlink:href=\"#svg-delete-backward\" /></svg></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'><svg class=\"svg-glyph\"><use xlink:href=\"#svg-shift\" /></svg></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\",\"deleteBackward\"]'><svg class=\"svg-glyph\"><use xlink:href=\"#svg-delete-backward\" /></svg></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>","latex-lower":"\n        <div class='rows'>\n            <ul><row name='lower-1' class='tt' shift-layer='latex-upper'/></ul>\n            <ul><row name='lower-2' class='tt' shift-layer='latex-upper'/></ul>\n            <ul><row name='lower-3' class='tt' shift-layer='latex-upper'/></ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='latex-symbols'>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>","latex-upper":"\n        <div class='rows'>\n            <ul><row name='upper-1' class='tt' shift-layer='latex-lower'/></ul>\n            <ul><row name='upper-2' class='tt' shift-layer='latex-lower'/></ul>\n            <ul><row name='upper-3' class='tt' shift-layer='latex-lower'/></ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='latex-symbols'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>","latex-symbols":"\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 class=\"svg-glyph\"><use xlink:href=\"#svg-trash\" /></svg></span>'\n                    data-shifted-command='\"deleteAll\"'\n                    data-alt-keys='delete' data-command='[\"performWithFeedback\",\"deleteBackward\"]'\n                ><svg class=\"svg-glyph\"><use xlink:href=\"#svg-delete-backward\" /></svg></li>\n            </ul>\n            <ul>\n                <li class='layer-switch font-glyph modifier bottom left' data-layer='latex-lower'>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-latex='\\cos'></li>\n                <li class='fnbutton' data-latex='\\cos^{-1}'></li>\n                <li class='fnbutton' data-latex='\\ln_{10}'></li>\n                <li class='fnbutton' data-latex='10^{#?}'></li>\n                <li class='bigfnbutton' data-latex='\\operatorname{gcd}(#?)' data-latex='\\operatorname{gcd}()'></li>\n                <li class='bigfnbutton' data-latex='\\operatorname{floor}(#?)' 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data-command='[\"applyStyle\",{\"shape\":\"up\"}]' data-latex='\\textup{Ab}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"shape\":\"it\"}]' data-latex='\\textit{Ab}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"shape\":\"sl\"}]' data-latex='\\textsl{Ab}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"shape\":\"sc\"}]' data-latex='\\textsc{Ab}'></li>\n                <li class='separator w5'></li>\n                <li class='keycap' data-insert='\\emph{#@} ' data-latex='\\text{\\emph{emph}}'></li>\n            </ul>\n            <ul>\n                <li class='keycap' data-command='[\"applyStyle\",{\"fontFamily\":\"cmr\"}]' data-latex='\\textrm{Az}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"fontFamily\":\"cmtt\"}]' data-latex='\\texttt{Az}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"fontFamily\":\"cmss\"}]' data-latex='\\textsf{Az}'></li>\n\n                <li class='keycap' data-command='[\"applyStyle\",{\"fontFamily\":\"bb\"}]'  data-latex='\\mathbb{AZ}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"fontFamily\":\"scr\"}]'  data-latex='\\mathscr{AZ}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"fontFamily\":\"cal\"}]' data-latex='\\mathcal{A1}'></li>\n                <li class='keycap' data-command='[\"applyStyle\",{\"fontFamily\":\"frak\"}]' data-latex='\\mathfrak{Az}'></li>\n            </ul>\n        </div>"};function Hm(e,t){e=e.replace(/(^|[^\\])#@/g,"$1#?");const i=vd(),r=new ac("root",i);r.body=Rc(e,i,{parseMode:"math",args:t});const n=Cu(Iu(new zu(r.render(new Jl({registers:i.registers},{fontSize:ql},"displaystyle")),{classes:"ML__base"})));return qu(n,{classes:"ML__mathlive"}).toMarkup()}function Gm(e,t,i){var r,n,a;let o="<div class='left'>";const s=t.replace(/\s+/g," ").split(" ");if(s.length>1){const t={...Fm,...null!==(r=e.customVirtualKeyboards)&&void 0!==r?r:{}};for(const e of s){if(!t[e]){console.error('Unknown virtual keyboard "',e,'"');break}o+="<div class='",e===i?o+="selected ":t[e].command?o+="action ":o+="layer-switch ",o+=(null!==(n=t[e].classes)&&void 0!==n?n:"")+"'",t[e].tooltip&&(o+="data-tooltip='"+(null!==(a=gd(t[e].tooltip))&&void 0!==a?a:t[e].tooltip)+"' "),e!==i&&("string"===typeof t[e].command?o+=`data-command='"${t[e].command}"'`:Array.isArray(t[e].command)&&(o+=`data-command='"${t[e].command.join("")}"'`),t[e].layer&&(o+="data-layer='"+t[e].layer+"'")),o+=">"+t[e].label+"</div>"}}o+="</div>";const l=e.virtualKeyboardToolbar,u="default"===l?["copyToClipboard","undo","redo"]:[],c={copyToClipboard:`\n            <div class='action'\n                data-command='"copyToClipboard"'\n                data-tooltip='${gd("tooltip.copy to clipboard")}'>\n                <svg><use xlink:href='#svg-copy' /></svg>\n            </div>\n        `,undo:`\n            <div 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t;o.getAttribute("data-latex")?t=Hm(o.getAttribute("data-latex").replace(/&quot;/g,'"'),(()=>"\\placeholder{}")):o.getAttribute("data-insert")&&""===o.innerHTML?t=Hm(o.getAttribute("data-insert").replace(/&quot;/g,'"'),(()=>"\\placeholder{}")):o.getAttribute("data-content")&&(t=o.getAttribute("data-content").replace(/&quot;/g,'"')),o.getAttribute("data-aside")&&(t=(null!==t&&void 0!==t?t:"")+"<aside>"+o.getAttribute("data-aside").replace(/&quot;/g,'"')+"</aside>"),void 0!==t&&(o.innerHTML=e.options.createHTML(t)),o.getAttribute("data-classes")&&o.classList.add(o.getAttribute("data-classes"));const s=null===(r=o.getAttribute("data-insert"))||void 0===r?void 0:r.replace(/&quot;/g,'"');let l;s&&Pm[s]&&(o.dataset.shifted=Pm[s][0],o.dataset.shiftedCommand=JSON.stringify(["insertAndUnshiftKeyboardLayer",Pm[s][1]]));const u=o.getAttribute("data-command");if(u)if(/^[a-zA-Z]+$/.test(u))l=u;else try{l=JSON.parse(u)}catch(a){}else 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0!==l?l:"non","function"==typeof e.parse)h.parse=e.parse;else if(!d||"^"!==d[0]&&"_"!==d[0]){const t=null!==(u=e.parse)&&void 0!==u?u:e.name,i=h.precedence,r=h.associativity;h.parse=(e,n,a)=>{if(i<n.minPrec)return null;const o=e.matchExpression({...n,minPrec:i});return"string"!=typeof t?[t,a,null!==o&&void 0!==o?o:"Missing"]:og(t,a,null!==o&&void 0!==o?o:"Missing",r)}}else{const t=null!==(c=e.parse)&&void 0!==c?c:e.name;h.parse=(e,i,r)=>{var n,a;return[t,null!==(n=Yf(r,1))&&void 0!==n?n:"Missing",null!==(a=Yf(r,2))&&void 0!==a?a:"Missing"]}}else if("function"==typeof e.parse)h.parse=e.parse;else if(void 0!==e.parse)h.parse=()=>e.parse;else if(void 0===e.parse&&void 0!==e.name)if("postfix"===h.kind)h.parse=(t,i)=>i?[e.name,i]:null;else if("prefix"===h.kind){const t=h.precedence,i=e.name;h.parse=(e,r)=>{if(t<r.minPrec)return null;const n=e.matchExpression({...r,minPrec:t});return null===n?null:[i,n]}}return"function"==typeof e.serialize||"string"==typeof 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0!==r?r:"Nothing"]},serialize:function(e,t){return""}}],core:gg,logic:[{name:"True",trigger:["\\mathrm","<{>","T","r","u","e","<}>"],serialize:"\\mathrm{True}"},{name:"False",trigger:["\\mathrm","<{>","F","a","l","s","e","<}>"],serialize:"\\mathrm{False}"},{name:"Maybe",trigger:["\\mathrm","<{>","M","a","y","b","e","<}>"],serialize:"\\mathrm{Maybe}"}],relop:[{trigger:["!","<"],kind:"infix",associativity:"right",precedence:246,parse:"NotLess"},{name:"NotLess",trigger:["\\nless"],kind:"infix",associativity:"right",precedence:246},{trigger:["<"],kind:"infix",associativity:"right",precedence:245,parse:"Less"},{name:"Less",trigger:["\\lt"],kind:"infix",associativity:"right",precedence:245},{trigger:["<","="],kind:"infix",associativity:"right",precedence:241,parse:"LessEqual"},{name:"LessEqual",trigger:["\\le"],kind:"infix",associativity:"right",precedence:241},{trigger:["\\leq"],kind:"infix",associativity:"right",precedence:241,parse:"Equal"},{trigger:["\\leqslant"],kind:"infix",associativity:"right",precedence:265,parse:"LessEqual"},{name:"LessNotEqual",trigger:["\\lneqq"],kind:"infix",associativity:"right",precedence:260},{name:"NotLessNotEqual",trigger:["\\nleqq"],kind:"infix",associativity:"right",precedence:260},{name:"LessOverEqual",trigger:["\\leqq"],kind:"infix",associativity:"right",precedence:265},{name:"GreaterOverEqual",trigger:["\\geqq"],kind:"infix",associativity:"right",precedence:265,parse:"GreaterEqual"},{name:"Equal",trigger:["="],kind:"infix",associativity:"right",precedence:260},{trigger:["*","="],kind:"infix",associativity:"right",precedence:260,parse:"StarEqual"},{name:"StarEqual",trigger:["\\star","="],kind:"infix",associativity:"right",precedence:260},{name:"PlusEqual",trigger:["+","="],kind:"infix",associativity:"right",precedence:260},{name:"MinusEqual",trigger:["-","="],kind:"infix",associativity:"right",precedence:260},{name:"SlashEqual",trigger:["/","="],kind:"infix",associativity:"right",precedence:260},{name:"EqualEqual",trigger:["=","="],kind:"infix",associativity:"right",precedence:260},{name:"EqualEqualEqual",trigger:["=","=","="],kind:"infix",associativity:"right",precedence:265},{name:"TildeFullEqual",trigger:["\\cong"],kind:"infix",associativity:"right",precedence:260},{name:"NotTildeFullEqual",trigger:["\\ncong"],kind:"infix",associativity:"right",precedence:260},{trigger:[":","="],kind:"infix",associativity:"right",precedence:260,parse:"Assign"},{name:"Assign",trigger:["\\coloneq"],kind:"infix",associativity:"right",precedence:260},{name:"Approx",trigger:["\\approx"],kind:"infix",associativity:"right",precedence:247},{name:"NotApprox",trigger:["\\approx"],kind:"infix",associativity:"right",precedence:247},{name:"ApproxEqual",trigger:["\\approxeq"],kind:"infix",associativity:"right",precedence:260},{name:"NotApproxEqual",trigger:["!","\\approxeq"],kind:"infix",associativity:"right",precedence:250},{name:"NotEqual",trigger:["\\ne"],kind:"infix",associativity:"right",precedence:255},{name:"Unequal",trigger:["!","="],kind:"infix",associativity:"right",precedence:260},{name:"GreaterEqual",trigger:["\\ge"],kind:"infix",associativity:"right",precedence:242},{trigger:["\\geq"],kind:"infix",associativity:"right",precedence:242,parse:"GreaterEqual"},{trigger:[">","="],kind:"infix",associativity:"right",precedence:243,parse:"GreaterEqual"},{trigger:["\\geqslant"],kind:"infix",associativity:"right",precedence:265,parse:"GreaterEqual"},{name:"GreaterNotEqual",trigger:["\\gneqq"],kind:"infix",associativity:"right",precedence:260},{name:"NotGreaterNotEqual",trigger:["\\ngeqq"],kind:"infix",associativity:"right",precedence:260},{trigger:[">"],kind:"infix",associativity:"right",precedence:245,parse:"Greater"},{name:"Greater",trigger:["\\gt"],kind:"infix",associativity:"right",precedence:245},{name:"NotGreater",trigger:["\\ngtr"],kind:"infix",associativity:"right",precedence:244},{trigger:["!",">"],kind:"infix",associativity:"right",precedence:244,parse:"NotGreater"},{name:"RingEqual",trigger:["\\circeq"],kind:"infix",associativity:"right",precedence:260},{name:"TriangleEqual",trigger:["\\triangleq"],kind:"infix",associativity:"right",precedence:260},{name:"DotEqual",trigger:["\\doteq"],kind:"infix",associativity:"right",precedence:265},{name:"DotEqualDot",trigger:["\\doteqdot"],kind:"infix",associativity:"right",precedence:265},{name:"FallingDotEqual",trigger:["\\fallingdotseq"],kind:"infix",associativity:"right",precedence:265},{name:"RisingDotEqual",trigger:["\\fallingdotseq"],kind:"infix",associativity:"right",precedence:265},{name:"QuestionEqual",trigger:["\\questeq"],kind:"infix",associativity:"right",precedence:260},{name:"Equivalent",trigger:["\\equiv"],kind:"infix",associativity:"right",precedence:260},{trigger:["\\iff"],kind:"infix",parse:"Equivalent",associativity:"right",precedence:260},{name:"MuchLess",trigger:["\\ll"],kind:"infix",associativity:"right",precedence:260},{name:"MuchGreater",trigger:["\\gg"],kind:"infix",associativity:"right",precedence:260},{name:"Precedes",trigge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Fg{constructor(e,t,i,r,n){this.index=0,this._lastPeek="",this._peekCounter=0,this.options={...Og,...Rg,...t},this.engine=r,this._tokens=e,this.onError=n,this._dictionary=i}updateOptions(e){for(const[t,i]of Object.entries(e))this.options[t]=i}clone(e,t){return new Fg(this._tokens.slice(e,t),this.options,this._dictionary,this.engine,this.onError)}get atEnd(){return this.index>=this._tokens.length}get peek(){if(this._tokens[this.index]===this._lastPeek?this._peekCounter+=1:this._peekCounter=0,this._peekCounter>=1024)throw Error(`Infinite loop detected while parsing "${this.latex(0)}" at ${this._lastPeek} (index ${this.index})`);return this._lastPeek=this._tokens[this.index],this._tokens[this.index]}atTerminator(e){const t=this.index;return!!this.atEnd||!!e&&(!(!e.condition||!e.condition(this))||!!(e.tokens&&e.tokens.length>0&&this.matchAll(e.tokens))&&(this.index=t,!0))}latex(e,t){return Kf(this._tokens.slice(e,t))}latexAhead(e){return Kf(this._tokens.slice(this.index,this.index+e))}latexBefore(){return this.latex(0,this.index)}latexAfter(){return this.latex(this.index)}lookAhead(){let e=Math.min(this._dictionary.lookahead,this._tokens.length-this.index);const t=[];for(;e>0;)t[e]=this.latexAhead(e--);return t}peekDefinitions(e){let t;t="operator"===e?this.lookAhead().map(((e,t)=>{var i,r,n,a,o;return null!==(a=null!==(r=null===(i=this._dictionary.infix[t])||void 0===i?void 0:i.get(e))&&void 0!==r?r:null===(n=this._dictionary.postfix[t])||void 0===n?void 0:n.get(e))&&void 0!==a?a:null===(o=this._dictionary.prefix[t])||void 0===o?void 0:o.get(e)})):this.lookAhead().map(((t,i)=>{var r;return null===(r=this._dictionary[e][i])||void 0===r?void 0:r.get(t)}));const i=[];for(let r=t.length;r>0;r--)if(void 0!==t[r])for(const e of t[r])i.push([e,r]);return 0===i.length?null:i}next(){return this._tokens[this.index++]}skipSpace(){if(!this.atEnd&&"<{>"===this.peek&&"<}>"===this._tokens[this.index+1])return this.index+=2,this.skipSpace(),!0;let e=!1;if(!this.options.skipSpace)return!1;for(;this.match("<space>");)e=!0;return e&&this.skipSpace(),e}matchChar(){var e;const t=this.index;let i=0;for(;this.match("^");)i+=1;if(i>=2){let e="",t=0;for(;t!=i;){const i=this.matchAny(["0","1","2","3","4","5","6","7","8","9","a","b","c","d","e","f"]);if(!i)break;e+=i,t+=1}if(e.length===i)return String.fromCodePoint(Number.parseInt(e,16))}else{if(this.match("\\char")){let t=Math.floor(null!==(e=this.matchLatexNumber())&&void 0!==e?e:NaN);return(!Number.isFinite(t)||t<0||t>1114111)&&(t=10067),String.fromCodePoint(t)}if(this.match("\\unicode"))if("<{>"===this.peek){const e=this.matchLatexNumber();if(this.match("<}>")&&null!==e&&e>=0&&e<=1114111)return String.fromCodePoint(e)}else{const e=this.matchLatexNumber();if(null!==e&&e>=0&&e<=1114111)return String.fromCodePoint(e)}}return this.index=t,this.next()}matchColor(e=!1){let t="";for(;!this.atEnd&&"}"!==this.peek;)t+=this.next();return t}matchLatexDimension(){return null}match(e){return this._tokens[this.index]===e&&(this.index++,!0)}matchAll(e){"string"==typeof e&&(e=[e]);let t=!0,i=0;do{t=this._tokens[this.index+i]===e[i++]}while(t&&i<e.length);return t&&(this.index+=i),t}matchAny(e){return e.includes(this._tokens[this.index])?this._tokens[this.index++]:""}matchWhile(e){const t=[];for(;e.includes(this._tokens[this.index]);)t.push(this._tokens[this.index++]);return t}matchSign(){let e=!1,t=!1;for(;!t;)this.skipSpace()?t=!1:this.matchAny(["-","−"])?(e=!e,t=!1):t=!this.matchAny(["+","﹢"]);return e?"-":"+"}matchDecimalDigits(){let e="",t=!1;for(;!t;)if(e+=this.matchWhile(["0","1","2","3","4","5","6","7","8","9"]).join(""),t=!0,this.options.groupSeparator){const e=this.index;this.skipSpace(),this.match(this.options.groupSeparator)&&(this.skipSpace(),/[0-9]/.test(this.peek)?t=!1:this.index=e)}return e}matchSignedInteger(){const e=this.index,t=this.matchSign(),i=this.matchDecimalDigits();return i?("-"===t?"-":"")+i:(this.index=e,"")}matchExponent(){const e=this.index;let t="";if(this.matchAny(["e","E"])){const e=this.matchSignedInteger();e&&(t="e"+e)}if(t)return t;if(this.match("\\times")&&(this.skipSpace(),this.match("1")&&this.match("0")&&this.match("^"))){if(/[0-9]/.test(this.peek))return"e"+this.next();if(this.match("<{>")){this.skipSpace();const e=this.matchSignedInteger();if(this.skipSpace(),this.match("<}>")&&e)return"e"+e}}return this.index=e,""}matchNumber(){var e,t;if(!this.options.parseNumbers)return"";const i=this.index;this.skipSpace(),this.match("+");let r=!1;if(this.match(this.options.decimalMarker)){const e=this.index;if(!this.matchAny(["0","1","2","3","4","5","6","7","8","9"]))return this.index=i,"";this.index=e,r=!0}let n=this.matchDecimalDigits();return n?(!r&&this.match(null!==(e=this.options.decimalMarker)&&void 0!==e?e:"")&&(n+="."+(null!==(t=this.matchDecimalDigits())&&void 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i=this.index;for(const[r,n]of t){this.index=i+n;const t=r.parse(this,e);if(t)return t}return this.index=i,null}matchInfixOperator(e,t){t||(t={minPrec:0}),t.minPrec||(t={...t,minPrec:0});const i=this.peekDefinitions("infix");if(null===i)return null;const r=this.index;for(const[n,a]of i)if(n.precedence>=t.minPrec){this.index=r+a;const i=n.parse(this,t,e);if(i)return i}return this.index=r,null}matchArguments(e){if(!e)return null;const t=this.index,i=this.matchEnclosure();if("enclosure"===e&&"Delimiter"===Wf(i))return ng(i);if("group"===e){const e=this.matchExpression({tokens:["<}>"]});return null===e?[]:[e]}if("implicit"===e){if("Delimiter"===Wf(i))return ng(i);if(null!==i)return[i];const e=this.matchPrimary();return null!==e?[e]:null}return this.index=t,null}matchOpenDelimiter(e,t){var i;const r=this.index,n=Ig[this.peek];n&&this.next();const a=null!==(i=Tg[e])&&void 0!==i?i:[e],o=n?[n]:[];return a.includes("||")&&this.matchAll(["|","|"])?(o.push("|"),o.push("|"),o):a.includes(this.peek)?(Dg[e]===t?o.push(Dg[this.peek]):o.push(t),this.next(),o):(this.index=r,null)}matchMiddleDelimiter(e){var t;const i=null!==(t=Bg[e])&&void 0!==t?t:[e];if(qg.includes(this.peek)){const e=this.index;return this.next(),i.includes(this.peek)?(this.next(),!0):(this.index=e,!1)}return!!i.include(this.peek)&&(this.next(),!0)}matchEnclosure(){const e=this._dictionary.matchfix;if(0===e.length)return null;const t=this.index;for(const i of e){if(this.index=t,Array.isArray(i.openDelimiter)){if(!this.matchAll(i.openDelimiter))continue;const e=this.matchExpression({tokens:i.closeDelimiter,minPrec:0});if(this.skipSpace(),!this.matchAll(i.closeDelimiter))continue;if("function"==typeof i.parse){const t=i.parse(this,null!==e&&void 0!==e?e:"Nothing");if(null===t)continue;return t}return[i.name,null!==e&&void 0!==e?e:"Nothing"]}const e=this.matchOpenDelimiter(i.openDelimiter,i.closeDelimiter);if(null===e)continue;const r=this.matchExpression({minPrec:0,tokens:e});if(r&&this.matchAll(e)){if("function"==typeof i.parse){const e=i.parse(this,null!==r&&void 0!==r?r:"Nothing");if(null===e)continue;return e}return[i.name,r]}}return this.index=t,null}matchSymbol(){var e,t;const i=this.index,r=this.peekDefinitions("symbol");if(r)for(const[o,s]of r){let e=null;if(this.index=i+s,"function"!=typeof o.parse){if(0===o.optionalLatexArg&&0===o.requiredLatexArg)return o.name;{const e=[];let t=o.optionalLatexArg;for(;0!==t;){const i=this.matchOptionalLatexArgument();if(null===i)break;e.push(i),t-=1}t=o.requiredLatexArg;const i=[];for(;0!==t;){const e=this.matchRequiredLatexArgument();if(null===e)break;i.push(e),t-=1}return i.length===o.requiredLatexArg?[o.name,...i,...e]:o.name}}if(e=o.parse(this),e)return e}this.index=i;let n="";(this.matchAll(["\\operatorname","<{>"])||this.matchAll(["\\mathit","<{>"])||this.matchAll(["\\mathrm","<{>"]))&&(n=this.matchString({tokens:["<}>"]}),n&&this.match("<}>")||(this.index=i)),n||(n=this.next());const a=null===(t=(e=this.options).parseUnknownSymbol)||void 0===t?void 0:t.call(e,n,this);if("symbol"===a)return n;if("function"===a){const e=this.matchEnclosure();return null===e?n:"Delimiter"!==Wf(e)?null:[n,...ng(e)]}return this.index=i,this.matchUnknownLatexCommand()}matchOptionalLatexArgument(){const e=this.index;if(this.skipSpace(),this.match("[")){const e=this.matchExpression();if(this.skipSpace(),this.match("]"))return e}return this.index=e,null}matchRequiredLatexArgument(){const e=this.index;if(this.skipSpace(),this.match("<{>")){const t=this.matchExpression({tokens:["<}>"]});return 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t.isLiteral&&t.complexValue?e.complexValue.re===t.complexValue.re?Math.abs(e.complexValue.im)===Math.abs(t.complexValue.im)?e.complexValue.im-t.complexValue.im:Math.abs(e.complexValue.im)-Math.abs(t.complexValue.im):e.complexValue.re-t.complexValue.re:t.isLiteral&&t.isNumber?1:-1;if(e.symbol)return t.symbol?e.symbol===t.symbol?0:e.symbol>t.symbol?1:-1:t.isLiteral&&t.isNumber?1:-1;if(e.ops){if(t.ops){const o=null!==(r=null===(i=e.functionDefinition)||void 0===i?void 0:i.complexity)&&void 0!==r?r:1e5,s=null!==(a=null===(n=t.functionDefinition)||void 0===n?void 0:n.complexity)&&void 0!==a?a:1e5;return o===s?"string"==typeof e.head&&"string"==typeof t.head?e.head===t.head?Av(e)-Av(t):e.head<t.head?1:-1:Av(e)-Av(t):o-s}return t.isLiteral&&t.isNumber||t.symbol?1:-1}if(e.string)return t.string?e.string.length!==t.string.length?t.string.length-e.string.length:t.string<e.string?-1:e.string>t.string?1:0:t.keys?-1:1;if(e.keys&&t.keys){if(e.keysCount!==t.keysCount)return t.keysCount-e.keysCount;let i=0,r=0;for(const e of t.keys)i+=t.getKey(e).complexity;for(const t of e.keys)r+=e.getKey(t).complexity;return r-i}return e.complexity-t.complexity}function Av(e){return null!==e.keys?1+e.keysCount:e.ops?("string"==typeof e.head?1:Av(e.head))+[...e.ops].reduce(((e,t)=>e+Av(t)),0):1}function kv(e){var t;const i=e.engine;let r=1,n=1;if("Multiply"===e.head){const t=[];for(const i of e.ops)if(i.isLiteral){const[e,a]=i.asRational;null!==e&&null!==a?(r*=e,n*=a):t.push(i)}else t.push(i);return[r,n]=$g([r,n]),r===n?[[1,1],e]:0===t.length?[[r,n],i.ONE]:1===t.length?[[r,n],t[0]]:[[r,n],i.mul(t)]}if("Divide"===e.head){let[[t,r],n]=kv(e.op1);const[[a,o],s]=kv(e.op2),[l,u]=$g([t*o,a*r]);return n.isOne&&s.isOne?[[l,u],i.ONE]:s.isOne?[[l,u],n]:[[l,u],i.fn("Divide",[n,s]).canonical]}if("Power"===e.head){if(!e.op2.isLiteral)return[[1,1],e];let[[t,r],n]=kv(e.op1);if(1===t&&1===r)return[[1,1],e];const a=e.op2,o=a.asSmallInteger;if(null!==o){if(-1===o)return[[r,t],i.inverse(n)];if(Math.log10(Math.abs(t))*Math.abs(o)<15&&Math.log10(Math.abs(r))*Math.abs(o)<15)return o>0?[[Math.pow(t,o),Math.pow(r,o)],i.power(n,a)]:[[Math.pow(r,-o),Math.pow(t,-o)],i.power(n,a)]}const[s,l]=a.rationalValue;if(null!==s&&null!==l&&t>0&&1===Math.abs(s)){const[o,u]=Xg(t,l),[c,h]=Xg(r,l);return 1===o&&1===c?[[1,1],e]:[1===s?[o,c]:[c,o],i.power(i.mul([i.number([u,h]),n]),a)]}return[[1,1],e]}if("Negate"===e.head){const[t,i]=kv(e.op1);return[[-t[0],t[1]],i]}if(e.isLiteral){if(e.decimalValue){if(e.decimalValue.isInteger()&&uv(e.decimalValue))return[[e.decimalValue.toNumber(),1],i.ONE];if(null===(t=e.decimalValue)||void 0===t?void 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t)this.addTerm(i)}get isEmpty(){return!1===this._hasInfinity&&!1===this._hasZero&&this._literal[0]===this._literal[1]&&0===this._terms.length}addTerm(e){if("Nothing"===e.symbol)return;if(e.isLiteral){if(e.isOne)return;if(e.isZero)return void(this._hasZero=!0);if(e.isNegativeOne)return void(this._literal[0]*=-1);if(e.isInfinity)return this._hasInfinity=!0,void(e.isNegative&&(this._literal[0]*=-1))}let[t,i]=kv(e);if(this._literal=[this._literal[0]*t[0],this._literal[1]*t[1]],i.isLiteral&&i.isOne)return;let r=[1,1];if("Power"===i.head&&i.op2.isLiteral){const[e,t]=i.op2.asRational;null!==e&&null!==t&&(r=[e,t],i=i.op1)}let n=!1;if(1===r[1]||i.isNonNegative)for(const a of this._terms)if(a.term.isSame(i)){const[e,t]=a.exponent,[i,o]=r;a.exponent=[e*o+t*i,t*o],n=!0;break}n||this._terms.push({exponent:r,term:i})}groupedByDegrees(e){const t=this.engine,i=[],r=[];this._hasInfinity&&r.push(t.POSITIVE_INFINITY),this._literal=$g(this._literal),1===this._literal[0]&&1===this._literal[1]||((null===e||void 0===e?void 0:e.splitRational)?(1!==this._literal[0]&&r.push(t.number(this._literal[0]).canonical),1!==this._literal[1]&&i.push({exponent:[-1,1],terms:[t.number(this._literal[1]).canonical]})):r.push(t.number(this._literal).canonical)),r.length>0&&i.push({exponent:[1,1],terms:r});for(const n of this._terms){if(0===n.exponent[0])continue;let e=!1;for(const t of i)if(n.exponent[0]===t.exponent[0]&&n.exponent[1]===t.exponent[1]){t.terms.push(n.term),e=!0;break}e||i.push({exponent:$g(n.exponent),terms:[n.term]})}return i}terms(){return Lv(this.engine,this.groupedByDegrees())}asNumeratorDenominator(){var e,t;const i=this.groupedByDegrees(),r=[],n=[];for(const c of i)c.exponent[0]>=0?r.push(c):n.push({exponent:[-c.exponent[0],c.exponent[1]],terms:c.terms});const a=this.engine;let o=Lv(a,r);o=null!==(e=cv(o,"Multiply"))&&void 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t=i[1].asSmallInteger;if(null!==t&&t<0)return Cv(e,"Subtract",[i[0],e.number(-t)],r)}if("Negate"===i[1].head)return Cv(e,"Subtract",[i[0],i[1].op1],r)}if("Tuple"===t){if(1===i.length&&!h.includes("Single"))return Cv(e,"Single",i,r);if(2===i.length&&!h.includes("Pair"))return Cv(e,"Pair",i,r);if(3===i.length&&!h.includes("Triple"))return Cv(e,"Triple",i,r)}const d=["string"==typeof t?t:t.json,...i.map((e=>e.json))],p={...null!==r&&void 0!==r?r:{}};return e.jsonSerializationOptions.metadata.includes("latex")?p.latex=null!==(l=p.latex)&&void 0!==l?l:e.serialize({fn:d}):p.latex="",e.jsonSerializationOptions.metadata.includes("wikidata")?(null===r||void 0===r?void 0:r.wikidata)||"string"!=typeof t||(p.wikidata=null!==(c=null===(u=e.getFunctionDefinition(t,i))||void 0===u?void 0:u.wikidata)&&void 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r,n,a;i={...i},e.jsonSerializationOptions.metadata.includes("latex")||(i.latex="");const o=!i.latex&&!e.jsonSerializationOptions.metadata.includes("latex")&&e.jsonSerializationOptions.shorthands.includes("number");let s="";if(t instanceof qf){if(t.isNaN()?s="NaN":t.isFinite()||(s=t.isPositive()?"+Infinity":"-Infinity"),!s){if(o&&uv(t)&&t.precision()<15)return t.toNumber();s=t.isInteger()&&t.e<t.precision()+4?t.toFixed(0):Tv(e,t.toJSON())}return e.jsonSerializationOptions.metadata.includes("latex")&&(i.latex=null!==(r=i.latex)&&void 0!==r?r:e.serialize({num:s})),i.latex?{num:s,latex:i.latex}:{num:s}}if(t instanceof Df.exports.Complex)return t.isInfinite()?Ev(e,"ComplexInfinity",i):t.isNaN()?(s="NaN",e.jsonSerializationOptions.metadata.includes("latex")&&(i.latex=null!==(n=i.latex)&&void 0!==n?n:e.serialize({num:s})),i.latex?{num:s,latex:i.latex}:{num:s}):Cv(e,"Complex",[e.number(t.re),e.number(t.im)],{...i,wikidata:"Q11567"});if(Array.isArray(t))return i.latex||i.wikidata||e.jsonSerializationOptions.metadata.includes("latex")||!e.jsonSerializationOptions.shorthands.includes("function")||!e.jsonSerializationOptions.shorthands.includes("number")?Cv(e,"Rational",[e.number(t[0]),e.number(t[1])],i):["Rational",t[0],t[1]];if(Number.isNaN(t)&&(s="NaN"),!Number.isFinite(t)&&t>0&&(s="+Infinity"),!Number.isFinite(t)&&t<0&&(s="-Infinity"),!s){if(o)return t;s=Tv(e,t.toString())}return e.jsonSerializationOptions.metadata.includes("latex")&&(i.latex=null!==(a=i.latex)&&void 0!==a?a:e.serialize({num:s})),i.latex?{num:s,latex:i.latex}:{num:s}}function Tv(e,t){var i;if(!e.jsonSerializationOptions.repeatingDecimal)return t;let[r,n,a,o]=null!==(i=t.match(/^(.*)\.([0-9]+)([e|E][-+]?[0-9]+)?$/))&&void 0!==i?i:[];if(!a)return t;const s=a[a.length-1];a=a.slice(0,-1);let l="";for(let u=0;u<a.length-16;u++){l=a.substring(0,u);for(let e=0;e<=16;e++){const i=a.substring(u,u+e+1),r=Math.floor((a.length-l.length)/i.length);if(r>1&&(l+i.repeat(r+1)).startsWith(a))return"0"===i?"0"===s?n+"."+l+(null!==o&&void 0!==o?o:""):t:n+"."+l+"("+i+")"+(null!==o&&void 0!==o?o:"")}}return t}class Bv extends av{constructor(e,t,i){super(e,i),this._value=new Map,this._isCanonical=!1;for(const r of Object.keys(t))this._value.set(r,e.box(t[r]));e._register(this)}_purge(){for(const[e,t]of this._value)t._purge()}get hash(){let e=wv("Dictionary");for(const[t,i]of this._value)e^=wv(t)^i.hash;return e}get complexity(){return 97}get head(){return"Dictionary"}get isPure(){return!1}getKey(e){return this._value.get(e)}hasKey(e){return this._value.has(e)}get keys(){return this._value.keys()}get keysCount(){return this._value.size}has(e){for(const[t,i]of this._value)if(i.has(e))return!0;return!1}get domain(){const e=["Dictionary"];for(const[t,i]of this._value)e.push(["Tuple",t,i.domain]);return this.engine.domain(e)}get json(){if(this.engine.jsonSerializationOptions.shorthands.includes("dictionary")){const e={};for(const t of this._value.keys())e[t]=this._value.get(t).json;return{dict:e}}const e=[];for(const t of this._value.keys())e.push(this.engine._fn("KeyValuePair",[this.engine.string(t),this._value.get(t)]));return Cv(this.engine,"Dictionary",e,{latex:this._latex})}isSame(e){if(this===e)return!0;if(!(e instanceof Bv))return!1;if(this._value.size!==e._value.size)return!1;for(const[t,i]of this._value){const r=e.getKey(t);if(!r||!i.isSame(r))return!1}return!0}match(e,t){if(!(e instanceof Bv))return null;if(this._value.size!==e._value.size)return null;let i={};for(const[r,n]of this._value){const t=e.getKey(r);if(!t)return null;const a=n.match(t);if(null===a)return null;i={...i,...a}}return i}isEqual(e){if(this===e)return!0;if(!(e instanceof Bv))return!1;if(!e.keys||this._value.size!==e._value.size)return!1;for(const[t,i]of this._value){const r=e.getKey(t);if(!r||!i.isEqual(r))return!1}return!0}apply(e,t){const i={};for(const r of this.keys)i[r]=this.engine.box(e(this.getKey(r)));return t?this.engine.fn(t,[{dict:i}]):new Bv(this.engine,i)}evaluate(e){return this.apply((t=>{var i;return null!==(i=t.evaluate(e))&&void 0!==i?i:t}))}get isCanonical(){return this._isCanonical}set isCanonical(e){this._isCanonical=e}get canonical(){if(this.isCanonical)return this;const e=this.apply((e=>e.canonical));return e.isCanonical=!0,e}simplify(e){var t;return null===(t=null===e||void 0===e?void 0:e.recursive)||void 0===t||t?this.apply((t=>{var i;return null!==(i=t.simplify(e))&&void 0!==i?i:t})):this}N(e){return this.apply((t=>t.N(e)))}replace(e,t){let i=0;const r={};for(const n of this.keys){const a=this.getKey(n),o=a.replace(e,t);null!==o&&(i+=1),r[n]=null!==o&&void 0!==o?o:a}return 0===i?null:new Bv(this.engine,r)}subs(e){const t={};for(const i of this.keys)t[i]=this.getKey(i).subs(e);return new Bv(this.engine,t)}}function Iv(e,t){var i;const r=new Set;for(const[n,a,o]of t){let t=e.pattern(n);const s={};for(const i of vv(t))s[i]=e.symbol("_"+i);let l;t=t.subs(s);const u=fv(null===o||void 0===o?void 0:o.condition);if(u){const t=e.parse(u).subs(s);l=e=>{var i;return"True"===(null===(i=t.subs(e).value)||void 0===i?void 0:i.symbol)}}else l=null===o||void 0===o?void 0:o.condition;const c=mv(a)?e.parse(a):e.box(a);c&&r.add([t,c.subs(s),null!==(i=null===o||void 0===o?void 0:o.priority)&&void 0!==i?i:0,l])}return r}function qv([e,t,i,r],n,a){const o=e.match(n,a);return null===o?null:"function"!=typeof r||r(o)?t.subs(o):null}function Dv(e,t,i){var r,n;const a=null!==(r=null===i||void 0===i?void 0:i.iterationLimit)&&void 0!==r?r:1;let o=0;const s=null!==(n=null===i||void 0===i?void 0:i.once)&&void 0!==n&&n;let l=!1,u=!1;try{for(;!l&&o<a;){l=!0;for(const r of t){const t=qv(r,e,i);if(null!==t&&t!==e){if(s)return t;l=!1,u=!0,e=t}}o+=1}}catch(e){}return u?e:null}const Ov=[];function Rv(e,t){if(null==t)return e;if(e===t)return e;const i=e.engine,r=i.box(t);return i.costFunction(r)<=1.7*i.costFunction(e)?r:e}class Fv extends av{constructor(e,t,i,r){var n;super(e,r),this._head="string"==typeof t?t:null!==(n=t.symbol)&&void 0!==n?n:t,this._ops=i,"string"==typeof this._head&&(this._def=e.getFunctionDefinition(this._head,i)),this._isCanonical=!1,e._register(this)}get hash(){if(void 0!==this._hash)return this._hash;let e=0;for(const t of this._ops)e=e<<1^t.hash|0;return e="string"==typeof this._head?e^wv(this._head)|0:e^this._head.hash|0,this._hash=e,e}_purge(){"string"!=typeof this._head&&this._head._purge();for(const e of this._ops)e._purge();this._value&&this._value._purge(),this._numericValue&&this._numericValue._purge()}get wikidata(){var e,t,i;return null!==(i=null!==(e=this._wikidata)&&void 0!==e?e:null===(t=this._def)||void 0===t?void 0:t.wikidata)&&void 0!==i?i:""}get description(){return this._def&&this._def.description?"string"==typeof this._def.description?[this._def.description]:this._def.description:[]}get url(){var e,t;return null!==(t=null===(e=this._def)||void 0===e?void 0:e.url)&&void 0!==t?t:""}get complexity(){var e,t;return null!==(t=null===(e=this._def)||void 0===e?void 0:e.complexity)&&void 0!==t?t:1e5}get head(){return this._head}get value(){if(this.isPure)return this._value||(this._value=this.evaluate()),this._value}get numericValue(){if(!this.isPure)return;if(this._numericValue)return this._numericValue;const e=this.N();return this._numericValue=e.isLiteral?e:void 0,this._numericValue}get isPure(){var e;if(void 0!==this._isPure)return this._isPure;let t;return void 0!==(null===(e=this._def)||void 0===e?void 0:e.pure)&&(t=this._def.pure),!1!==t&&(t=this._ops.every((e=>e.isPure))),this._isPure=t,t}get isLiteral(){return!1}get ops(){return this._ops}get nops(){return this._ops.length}get op1(){var e;return null!==(e=this._ops[0])&&void 0!==e?e:this.engine.symbol("Missing")}get op2(){var e;return null!==(e=this._ops[1])&&void 0!==e?e:this.engine.symbol("Missing")}get op3(){var e;return null!==(e=this._ops[2])&&void 0!==e?e:this.engine.symbol("Missing")}get functionDefinition(){return this._def}_repairDefinition(){if("string"==typeof this._head){if("_"===this._head[0])return;this._def=this.engine.getFunctionDefinition(this._head,this._ops),this._def&&(this._head=this._def.name)}}get domain(){var e;if(null===(e=this._def)||void 0===e?void 0:e.domain)return"function"==typeof this._def.domain?this.engine.domain(this._def.domain(this.engine,this._ops)):this.engine.domain(this._def.domain);const t=[this.head];for(const i of this._ops)t.push(i.domain);return t.push(this.engine.domain("Anything")),this.engine.domain(t)}get valueDomain(){var e;return null!==(e=this.domain.codomain)&&void 0!==e?e:this.engine.domain("Nothing")}isLess(e){if(e.isZero){const e=this.sgn;if(null===e)return!1;if(void 0!==e)return e<0}}isLessEqual(e){if(e.isZero){const e=this.sgn;if(null===e)return!1;if(void 0!==e)return e<=0}}isGreater(e){if(e.isZero){const e=this.sgn;if(null===e)return!1;if(void 0!==e)return e>0}}isGreaterEqual(e){if(e.isZero){const e=this.sgn;if(null===e)return!1;if(void 0!==e)return e>=0}}get isZero(){const e=this.sgn;return null!==e&&("number"==typeof e?0===e:void 0)}get isNotZero(){const e=this.sgn;return null!==e&&("number"==typeof e?0!==e:void 0)}get isOne(){}get isNegativeOne(){}get isPositive(){const e=this.sgn;return null!==e&&("number"==typeof e?0!==e:void 0)}get isNonPositive(){const e=this.sgn;return null!==e&&("number"==typeof e?e<=0:void 0)}get isNegative(){const e=this.sgn;return null!==e&&("number"==typeof e?e<0:void 0)}get isNonNegative(){const e=this.sgn;return null!==e&&("number"==typeof e?e>=0:void 0)}get isNumber(){return this.valueDomain.isSubdomainOf("Number")}get isInteger(){return this.valueDomain.isSubdomainOf("Integer")}get isRational(){return this.valueDomain.isSubdomainOf("RationalNumber")}get isAlgebraic(){return this.valueDomain.isSubdomainOf("AlgebraicNumber")}get isReal(){return this.valueDomain.isSubdomainOf("RealNumber")}get isExtendedReal(){return this.valueDomain.isSubdomainOf("ExtendedRealNumber")}get isComplex(){return this.valueDomain.isSubdomainOf("ComplexNumber")}get isImaginary(){return this.valueDomain.isSubdomainOf("ImaginaryNumber")}get json(){return this._isCanonical?function(e,t,i,r){var n,a;const o=e.jsonSerializationOptions.exclude;if("Add"===t&&2===i.length&&!o.includes("Subtract")){const t=i[0].asSmallInteger;if(null!==t&&t<0)return Cv(e,"Subtract",[i[1],e.number(-t)],r);if("Negate"===i[0].head)return Cv(e,"Subtract",[i[1],i[0].op1],r)}if("Divide"===t&&e.jsonSerializationOptions.exclude.includes("Divide"))return Cv(e,"Multiply",[i[0],e._fn("Power",[i[1],e.NEGATIVE_ONE])],r);if("Multiply"===t&&!e.jsonSerializationOptions.exclude.includes("Divide")){const t=new Mv(e,i).asRationalExpression();if("Divide"===t.head)return Cv(e,t.head,t.ops,r)}if("Power"===t){if(!o.includes("Exp")&&"ExponentialE"===(null===(n=i[0])||void 0===n?void 0:n.symbol))return Cv(e,"Exp",[i[1]],r);if(null===(a=i[1])||void 0===a?void 0:a.isLiteral){const t=i[1].asSmallInteger;if(!o.includes("Square")&&2===t)return Cv(e,"Square",[i[0]],r);if(!e.jsonSerializationOptions.exclude.includes("Divide")){if(-1===t)return Cv(e,"Divide",[e.ONE,i[0]],r);if(null!==t&&t<0)return Cv(e,"Divide",[e.ONE,e.power(i[0],-t)],r)}const[n,a]=i[1].rationalValue;if(1===n){if(!o.includes("Sqrt")&&2===a)return Cv(e,"Sqrt",[i[0]],r);if(!o.includes("Root"))return Cv(e,"Root",[i[0],e.number(a)],r)}if(-1===n){if(!o.includes("Sqrt")&&2===a)return Cv(e,"Divide",[e.ONE,e._fn("Sqrt",[i[0]])],r);if(!o.includes("Root"))return Cv(e,"Divide",[e.ONE,e._fn("Root",[i[0],e.number(a)])],r)}}}return Cv(e,t,i,r)}(this.engine,this._head,this._ops,{latex:this._latex,wikidata:this._wikidata}):Cv(this.engine,this._head,this._ops,{latex:this._latex,wikidata:this._wikidata})}has(e){if("string"==typeof this._head)if("string"==typeof e){if(this._head===e)return!0}else if(e.includes(this._head))return!0;for(const t of this._ops)if(t.has(e))return!0;return!1}isSame(e){if(this===e)return!0;if(!(e instanceof Fv))return!1;if(this.nops!==e.nops)return!1;if("string"==typeof this.head){if(this.head!==e.head)return!1}else{if("string"==typeof e.head)return!1;if(!e.head||!this.head.isSame(e.head))return!1}const t=this._ops,i=e._ops;for(let r=0;r<t.length;r++)if(!t[r].isSame(i[r]))return!1;return!0}match(e,t){if(!(e instanceof Fv))return null;let i={};if("string"==typeof this.head){if(this.head!==e.head)return null}else{if("string"==typeof e.head)return null;{if(!e.head)return null;const r=this.head.match(e.head,t);if(null===r)return null;i={...i,...r}}}const r=this._ops,n=e._ops;for(let a=0;a<r.length;a++){const e=r[a].match(n[a],t);if(null===e)return null;i={...i,...e}}return i}isEqual(e){if(!this.isCanonical)return this.canonical.isEqual(e);if((e=e.canonical).isNumber&&this.isNumber){const t=this.engine,i=t.add([this,t.negate(e)]).N();return!!i.isZero||null!==i.asFloat&&0===t.chop(i.asFloat)||this.evaluate().isSame(e.evaluate())}return this.domain.isRelationalOperator&&e.domain.isRelationalOperator?this.evaluate().isSame(e.evaluate()):this.isSame(e)}get sgn(){var e,t,i,r,n,a,o,s;const l=this.head;if("Negate"===l){const t=null===(e=this._ops[0])||void 0===e?void 0:e.sgn;if(void 0===t)return;return null===t?null:0===t?0:t>0?-1:1}if("Multiply"===l){const e=this._ops.reduce(((e,t)=>{var i;return e*(null!==(i=t.sgn)&&void 0!==i?i:NaN)}),1);return isNaN(e)?null:e>0?1:e<0?-1:0}if("Add"===l){let e=0,t=0,i=0;const r=this._ops.length;for(const n of this._ops){const r=n.sgn;if(null==r)break;0===r&&(i+=1),r>0&&(e+=1),r<0&&(t+=1)}return i===r?0:e===r?1:t===r?-1:null}if("Divide"===l){const e=null===(t=this._ops[0])||void 0===t?void 0:t.sgn,r=null===(i=this._ops[1])||void 0===i?void 0:i.sgn;return null===e||null===r||void 0===e||void 0===r?null:0===e?0:e>0&&r>0||e<0&&r<0?1:-1}return"Square"===l?(null===(r=this._ops[0])||void 0===r?void 0:r.isImaginary)?-1:(null===(n=this._ops[0])||void 0===n?void 0:n.isZero)?0:1:"Abs"===l?(null===(a=this._ops[0])||void 0===a?void 0:a.isZero)?0:1:"Sqrt"===l?(null===(o=this._ops[0])||void 0===o?void 0:o.isZero)?0:(null===(s=this._ops[0])||void 0===s?void 0:s.isImaginary)?null:1:null}*map(e){let t=0;for(;t<this._ops.length;)yield e(this._ops[t++])}get isCanonical(){return this._isCanonical}set isCanonical(e){this._isCanonical=e}get canonical(){var e,t,i,r,n,a,o;if(this.isCanonical)return this;let s=(null===(e=this._def)||void 0===e?void 0:e.associative)&&null!==(t=cv(this._ops,this._def.name))&&void 0!==t?t:this._ops;if(s=Vv(s,null!==(r=null===(i=this._def)||void 0===i?void 0:i.hold)&&void 0!==r?r:"none",(e=>e.canonical)),(null===(n=this._def)||void 0===n?void 0:n.associative)&&(s=null!==(a=cv(s,this._def.name))&&void 0!==a?a:s),null===(o=this._def)||void 0===o?void 0:o.canonical)return this._def.canonical(this.engine,s);if(!this._def)return this.engine._fn(this._head,s);if(1===s.length&&s[0].head===this._head)if(this._def.idempotent)s=s[0].ops;else if(this._def.involution)return s[0].op1;return s.length>1&&!0===this._def.commutative&&(s=s.sort(xv)),this.engine._fn(this._head,s)}apply(e,t){const i=null!==t&&void 0!==t?t:this.head;let r=!1;const n=[];for(const a of this._ops){const t=e(a);a!==t&&(r=!0),n.push(this.engine.box(t))}return r||this.head!==i?this.engine.fn(i,n):this}simplify(e){var t,i,r,n;if(!this.isCanonical)return this.canonical.simplify(e);const a=this._def;let o,s=this._ops;if(a?(a.associative&&(s=null!==(t=cv(s,a.name))&&void 0!==t?t:s),s=Vv(s,a.hold,(t=>t.simplify(e))),a.associative&&(s=null!==(i=cv(s,a.name))&&void 0!==i?i:s)):s=Vv(this._ops,"none",(t=>t.simplify(e))),"string"!=typeof this._head)return Pv(this._head,s).simplify(e);a&&(a.simplify?o=a.simplify(this.engine,s):a.inert&&(o=null!==(r=s[0])&&void 0!==r?r:this.engine.symbol("Missing"))),o||(o=this.engine.fn(this._head,s).canonical);const l=null!==(n=null===e||void 0===e?void 0:e.rules)&&void 0!==n?n:this.engine.cache("standard-simplification-rules",(()=>Iv(this.engine,Ov)),(e=>{for(const[t,i,r,n]of e)t._purge(),i._purge();return e}));let u=0,c=!1;do{const e=o.replace(l);null!==e?(o=Rv(e,o),o===e&&(c=!0)):c=!0,u+=1}while(!c&&u<this.engine.iterationLimit);return o}evaluate(e){var t,i,r,n;if(!this.isCanonical)return this.canonical.evaluate(e);const a=this._def;let o;return a?(o=Vv(a.associative&&null!==(t=cv(this._ops,a.name))&&void 0!==t?t:this._ops,a.hold,(t=>t.evaluate(e))),a.associative&&(o=null!==(i=cv(o,a.name))&&void 0!==i?i:o)):o=Vv(this._ops,"none",(t=>t.evaluate(e))),"string"!=typeof this._head?Pv(this._head,o).evaluate(e):a?void 0===a.evaluate?a.inert?null!==(r=o[0])&&void 0!==r?r:this.engine.symbol("Missing"):this.engine.fn(this._head,o).canonical:"function"!=typeof a.evaluate?Pv(a.evaluate,o).canonical:null!==(n=a.evaluate(this.engine,o))&&void 0!==n?n:this.engine.fn(this._head,o).canonical:this.engine.fn(this._head,o).canonical}N(e){var t,i,r,n;if(!this.isCanonical)return this.canonical.N(e);const a=this._def;let o;if(a?(o=Vv(a.associative&&null!==(t=cv(this._ops,a.name))&&void 0!==t?t:this._ops,a.hold,(t=>t.N(e))),a.associative&&(o=null!==(i=cv(o,a.name))&&void 0!==i?i:o)):o=Vv(this._ops,"none",(t=>t.N(e))),"string"!=typeof this._head)return Pv(this._head,o).N(e);if(!a)return this.engine.fn(this._head,o).canonical;const s=null!==(n=null===(r=a.N)||void 0===r?void 0:r.call(a,this.engine,o))&&void 0!==n?n:this.engine.fn(this._head,o).evaluate();if(s.isLiteral){if(!bv(this.engine)&&s.complexValue)return this.engine.NAN;if(!yv(this.engine)&&s.decimalValue)return this.engine.number(s.decimalValue.toNumber())}return s}solve(e){return null}replace(e,t){return Dv(this,e,t)}subs(e){return this.engine.fn(this._head,this._ops.map((t=>t.subs(e)))).canonical}}function Pv(e,t){const i={__:e.engine.tuple(t),"_#":e.engine.number(t.length)};let r=1;for(const n of t)i["_"+r++]=n;return i._=i._1,e.subs(i)}function Vv(e,t,i){if(0===e.length)return[];const r=[];for(let n=0;n<e.length;n++)if("Nothing"!==e[n].symbol)if("Hold"===e[n].head)r.push(e[n].op1);else if("ReleaseHold"===e[n].head){const t=i(e[n].op1);null!==t&&"Nothing"!==t.symbol&&r.push(t)}else if(Uv(e,t,n)){const t=i(e[n]);null!==t&&"Nothing"!==t.symbol&&r.push(t)}else r.push(e[n]);return r}function Uv(e,t,i){return"all"!==t&&("none"===t||("first"===t?0!==i:"rest"===t?0===i:"last"===t?i!==e.length-1:"most"===t&&i===e.length-1))}function Kv(e){if("number"==typeof e&&!isNaN(e))return isFinite(e)?0===e?"NonNegativeInteger":Number.isInteger(e)?e>0?"PositiveInteger":e<0?"NegativeInteger":"Integer":e>0?"PositiveNumber":e<0?"NegativeNumber":"RealNumber":"ExtendedRealNumber";if(e instanceof If.exports.Decimal)return e.isNaN()?"Number":e.isFinite()?e.isZero()?"NonNegativeInteger":e.isInteger()?e.gt(0)?"PositiveInteger":e.lt(0)?"NegativeInteger":"Integer":e.gt(0)?"PositiveNumber":e.lt(0)?"NegativeNumber":"RealNumber":"ExtendedRealNumber";if(e instanceof Df.exports.Complex){const t=e;return 0===t.im?Kv(t.re):0===t.re&&0!==t.im?"ImaginaryNumber":"ComplexNumber"}if(Array.isArray(e)){const[t,i]=$g(e);if(!Number.isNaN(t)&&!Number.isNaN(i))return 1!==i?"RationalNumber":Kv(t)}return"Number"}function Hv(e){if(!Number.isInteger(e)||!Number.isFinite(e)||Number.isNaN(e)||e<=1)return!1;if(e<=7919)return Yg.has(e);for(const t of Yg)if(e%t==0)return!1;return e>=0x3ffffffffffe5?!!function(e,t){let i=0,r=e-1;for(;r%2==0;)r/=2,++i;e:do{let t=Math.pow(2+Math.floor(Math.random()*(e-3)),r)%e;if(1!==t&&t!==e-1){for(let r=i-1;r--;){if(t=t*t%e,1===t)return!1;if(t===e-1)continue e}return!1}}while(--t);return!0}(e,30)&&void 0:e===function(e){if(1===e)return 1;if(e%2==0)return 2;if(e%3==0)return 3;if(e%5==0)return 5;const t=Math.floor(Math.sqrt(e));let i=7;for(;i<=t;){if(e%i==0)return i;if(e%(i+4)==0)return i+4;if(e%(i+6)==0)return i+6;if(e%(i+10)==0)return i+10;if(e%(i+12)==0)return i+12;if(e%(i+16)==0)return i+16;if(e%(i+22)==0)return i+22;if(e%(i+24)==0)return i+24;i+=30}return e}(e)}class Gv extends av{constructor(e,t,i){if(super(e,i),this._isCanonical=!0,t instanceof Df.exports.Complex)Number.isNaN(t.re)||Number.isNaN(t.im)?this._value=NaN:0===e.chop(t.im)?this._value=t.re:this._value=bv(e)?t:NaN;else if(Array.isArray(t)){let[e,i]=t;i<0&&([e,i]=[-e,-i]),1===i?this._value=e:0===e?this._value=0===i?NaN:e:(this._value=[e,i],this._isCanonical=1===Jg(e,i))}else t instanceof If.exports.Decimal?this._value=yv(e)?t:t.toNumber():"number"==typeof t?this._value=t:yv(e)?this._value=e.decimal(t):"string"==typeof t&&(this._value=Number.parseFloat(t));"number"==typeof this._value?Number.isInteger(this._value)?this._head="Integer":this._head="Number":this._value instanceof Df.exports.Complex?this._head="ComplexNumber":Array.isArray(this._value)?this._head="RationalNumber":this._value instanceof If.exports.Decimal?this._value.isInteger()?this._head="Integer":this._head="RealNumber":this._head="Number",e._register(this)}get hash(){if(void 0!==this._hash)return this._hash;let e=0;return e="number"==typeof this._value?wv(this._value.toString()):this._value instanceof Df.exports.Complex?wv(this._value.re.toString()+" +i "+this._value.im.toString()):this._value instanceof If.exports.Decimal?wv(this._value.toString()):wv(this._value[0].toString()+" / "+this._value[1].toString()),this._hash=e,e}get head(){return this._head}get isPure(){return!0}get isLiteral(){return!0}get isCanonical(){return this._isCanonical}set isCanonical(e){this._isCanonical=e}get numericValue(){if(!Array.isArray(this._value))return this;const[e,t]=this._value,i=this.engine;return yv(i)?new Gv(i,i.decimal(e).div(t)):new Gv(i,e/t)}get machineValue(){return"number"==typeof this._value?this._value:null}get decimalValue(){return this._value instanceof If.exports.Decimal?this._value:null}get complexValue(){return this._value instanceof Df.exports.Complex?this._value:null}get rationalValue(){return Array.isArray(this._value)?this._value:[null,null]}get asFloat(){if("number"==typeof this._value)return this._value;if(this._value instanceof If.exports.Decimal){if(this._value.isNaN())return NaN;if(!this._value.isFinite())return this._value.isPositive()?1/0:-1/0;if(uv(this._value))return this._value.toNumber()}return Array.isArray(this._value)?this._value[0]/this._value[1]:null}get asSmallInteger(){if("number"==typeof this._value)return Number.isInteger(this._value)&&this._value>=-1e6&&this._value<=1e6?this._value:null;if(this._value instanceof If.exports.Decimal)return this._value.isInteger()&&this._value.gte(-1e6)&&this._value.lte(1e6)?this._value.toNumber():null;if(Array.isArray(this._value)){const e=this._value[0]/this._value[1];return Number.isInteger(e)&&e>=-1e6&&e<=1e6?e:null}return 0===this.engine.chop(this._value.im)&&Number.isInteger(this._value.re)&&this._value.re>=-1e6&&this._value.re<=1e6?this._value.re:null}get asRational(){const[e,t]=this.rationalValue;if(null!==e&&null!==t)return[e,t];const i=this.asSmallInteger;return null!==i?[i,1]:[null,null]}get domain(){return void 0===this._domain&&(this._domain=this.engine.domain(Kv(this._value))),this._domain}get json(){return _v(this.engine,this._value,{latex:this._latex})}get sgn(){if(this.isZero)return 0;if(this._value instanceof Df.exports.Complex)return null;if("number"==typeof this._value)return this._value<0?-1:this._value>0?1:null;if(this._value instanceof If.exports.Decimal)return this._value.isNegative()?-1:this._value.isPositive()?1:null;if(Array.isArray(this._value)){const[e,t]=this._value;return 0===e&&0!==t?0:e<0?-1:e>0?1:null}return null}isSame(e){if(this===e)return!0;if(!(e instanceof Gv))return!1;if(Array.isArray(this._value)){if(!Array.isArray(e._value))return!1;const[t,i]=e._value;return this._value[0]===t&&this._value[1]===i}return this._value instanceof If.exports.Decimal?e._value instanceof If.exports.Decimal&&this._value.eq(e._value):this._value instanceof Df.exports.Complex?e._value instanceof Df.exports.Complex&&this._value.equals(e._value):"number"==typeof this._value&&"number"==typeof e._value&&this._value===e._value}isEqual(e){var t,i;if(this===e)return!0;const r=e.numericValue;if(void 0===r)return!1;if(!(r instanceof Gv))return!1;if(Array.isArray(this._value)){const e=r.asFloat;return null!==e&&0===this.engine.chop(this._value[0]/this._value[1]-e)}if(this._value instanceof If.exports.Decimal)return 0===this.engine.chop(this._value.sub(null!==(i=null!==(t=r.decimalValue)&&void 0!==t?t:r.asFloat)&&void 0!==i?i:NaN));if(this._value instanceof Df.exports.Complex){if(r instanceof Df.exports.Complex)return 0===this.engine.chop(r.re-this._value.re)&&0===this.engine.chop(r.im-this._value.im);if(0!==this._value.im)return!1}const n=this.asFloat,a=r.asFloat;return null!==n&&null!==a&&0===this.engine.chop(a-n)}match(e,t){var i;return this.isEqualWithTolerance(e,null!==(i=null===t||void 0===t?void 0:t.numericTolerance)&&void 0!==i?i:0)?{}:null}isEqualWithTolerance(e,t){var i,r;if(this===e)return!0;if(!(e instanceof Gv))return!1;if(Array.isArray(this._value)){const i=e.asFloat;return null!==i&&Math.abs(this._value[0]/this._value[1]-i)<=t}if(this._value instanceof If.exports.Decimal)return this._value.sub(null!==(r=null!==(i=e.decimalValue)&&void 0!==i?i:e.asFloat)&&void 0!==r?r:NaN).abs().lte(t);if(this._value instanceof Df.exports.Complex){if(e._value instanceof Df.exports.Complex)return Math.abs(e._value.re-this._value.re)<=t&&Math.abs(e._value.im-this._value.im)<=t;if(0!==this._value.im)return!1}const n=this.asFloat,a=e.asFloat;return null!==n&&null!==a&&Math.abs(a-n)<=t}isLess(e){if(e=e.N(),!this.isImaginary&&!e.isImaginary){if("number"==typeof this._value){const t=e.machineValue;if(null!==t)return this._value<t;const i=e.decimalValue;if(null!==i)return i.greaterThanOrEqualTo(this._value);const[r,n]=e.rationalValue;return null!==r&&null!==n&&this._value*n<r}if(this._value instanceof If.exports.Decimal){const t=e.machineValue;if(null!==t)return this._value.lt(t);const i=e.decimalValue;if(null!==i)return this._value.lt(i);const[r,n]=e.rationalValue;return null!==r&&null!==n&&this._value.mul(n).lt(r)}if(Array.isArray(this._value)){const[t,i]=this._value;if("number"==typeof e)return t<e*i;const[r,n]=e.rationalValue;if(null!==r&&null!==n)return t*n<r*i;const a=e.decimalValue;return null!==a&&a.mul(t).lt(i)}this._value,Df.exports.Complex}}isLessEqual(e){e=e.N();const t=this.isLess(e);if(void 0===t)return;const i=this.isEqual(e);return void 0!==i?t||i:void 0}isGreater(e){const t=this.isLess(e);if(void 0!==t)return!t}isGreaterEqual(e){e=e.N();const t=this.isLess(e);if(void 0===t)return;const i=this.isEqual(e);return void 0!==i?!t||i:void 0}get isPositive(){const e=this.sgn;if(null!=e)return e>0}get isNonNegative(){const e=this.sgn;if(null!=e)return e>=0}get isNegative(){const e=this.sgn;if(null!=e)return e<0}get isNonPositive(){const e=this.sgn;if(null!=e)return e<=0}get isZero(){return!Array.isArray(this._value)&&0===this.engine.chop(this._value)}get isNotZero(){return!!Array.isArray(this._value)||0!==this.engine.chop(this._value)}get isOne(){if("number"==typeof this._value)return 1===this._value;if(this._value instanceof If.exports.Decimal)return this._value.equals(this.engine.DECIMAL_ONE);if(Array.isArray(this._value)){const[e,t]=this._value;return 0!==t&&e===t}return this._value.equals(1)}get isNegativeOne(){if("number"==typeof this._value)return-1===this._value;if(this._value instanceof If.exports.Decimal)return this._value.equals(this.engine.DECIMAL_NEGATIVE_ONE);if(Array.isArray(this._value)){const[e,t]=this._value;return e<0&&0!==t&&-e===t}return this._value.equals(-1)}get isOdd(){return!(!this.isOne&&!this.isNegativeOne)||!this.isZero&&!!this.isInteger&&("number"==typeof this._value?this._value%2!=0:this._value instanceof If.exports.Decimal?!this._value.mod(2).isZero():void 0)}get isEven(){return!this.isOne&&!this.isNegativeOne&&(!!this.isZero||!!this.isInteger&&("number"==typeof this._value?this._value%2==0:this._value instanceof If.exports.Decimal?this._value.mod(2).isZero():void 0))}get isPrime(){return!(!this.isInteger||!this.isFinite||this.isNonPositive||this.isOne||this.isZero)&&("number"==typeof this._value?Hv(this._value):void 0)}get isComposite(){return!(!this.isInteger||!this.isFinite||this.isNonPositive||this.isOne||this.isZero)&&("number"==typeof this._value?!Hv(this._value):void 0)}get isInfinity(){return"number"==typeof this._value?!Number.isFinite(this._value)&&!Number.isNaN(this._value):(this._value instanceof If.exports.Decimal||this._value instanceof Df.exports.Complex)&&!this._value.isFinite()&&!this._value.isNaN()}get isNaN(){return"number"==typeof this._value?Number.isNaN(this._value):(this._value instanceof If.exports.Decimal&&this._value.isNaN(),this._value instanceof Df.exports.Complex&&this._value.isNaN(),!1)}get isFinite(){return!this.isInfinity&&!isNaN}get isNumber(){return!0}get isInteger(){return"number"==typeof this._value?Number.isInteger(this._value):this._value instanceof If.exports.Decimal&&this._value.isInteger()}get isRational(){return!!Array.isArray(this._value)||this.isInteger}get isAlgebraic(){if(this.isRational)return!0}get isReal(){return!(!this.isFinite||this._value instanceof Df.exports.Complex&&0!==this.engine.chop(this._value.im))}get isExtendedReal(){return this.isInfinity||this.isReal}get isComplex(){return!this.isNaN}get isImaginary(){return this._value instanceof Df.exports.Complex&&0!==this._value.im}get isExtendedComplex(){return this.isInfinity||!this.isNaN}get canonical(){if(this._isCanonical)return this;if(Array.isArray(this._value)){const[e,t]=$g(this._value);return Number.isNaN(e)||Number.isNaN(t)?this.engine.NAN:1===t?this.engine.number(e):0===t?0!==e&&Number.isFinite(e)?e<0?this.engine.NEGATIVE_INFINITY:this.engine.POSITIVE_INFINITY:this.engine.NAN:0===e?this.engine.ZERO:this.engine.number([e,t])}return this}simplify(e){return this.canonical}N(e){if(Array.isArray(this._value)){const e=this.engine,[t,i]=this._value;return yv(e)?e.number(e.decimal(t).div(i)):e.number(t/i)}return this}}class jv extends av{constructor(e,t,i){super(e,i),this._string=t.normalize(),e._register(this)}get hash(){return wv("String"+this._string)}get json(){return e=this.engine,t=t=this._string,e.jsonSerializationOptions.shorthands.includes("string")?`'${t}'`:{str:t};var e,t}get head(){return"String"}get isPure(){return!0}get isLiteral(){return!0}get isCanonical(){return!0}set isCanonical(e){}get domain(){return this.engine.domain("String")}get complexity(){return 19}get string(){return this._string}isEqual(e){return e.string===this._string}isSame(e){return e.string===this._string}match(e,t){return e instanceof jv&&this._string===e._string?{}:null}}function Qv(e,t){if(null==t)return e.symbol("Nothing");if(t instanceof av)return t;if(Array.isArray(t)){if("number"!=typeof t[0])return new Fv(e,"string"==typeof t[0]?t[0]:Qv(e,t[0]),t.slice(1).map((t=>Qv(e,t))));const[i,r]=t;return"number"==typeof r&&Number.isInteger(i)&&Number.isInteger(r)?e.number(t):e.fn("Divide",t)}if("number"==typeof t||t instanceof Df.exports.Complex||t instanceof If.exports.Decimal)return e.number(t);if("string"==typeof t)return t.startsWith("'")&&t.endsWith("'")?new jv(e,t.slice(1,-1)):e.symbol(t);if("object"==typeof t){const i={latex:t.latex,wikidata:t.wikidata};if("dict"in t)return new Bv(e,t.dict,i);if("fn"in t)return"string"==typeof t.fn[0]?function(e,t,i,r){var n,a,o;if("Hold"===t)return new Fv(e,"Hold",[Zv(e,null!==(n=i[0])&&void 0!==n?n:"Missing")],r);if("String"===t)return 0===i.length?new jv(e,"",r):new jv(e,i.map((e=>{var t;return null!==(t=Yv(e))&&void 0!==t?t:""})).join(""),r);if("Symbol"===t&&i.length>0)return e.symbol(i.map((e=>{var t;return null!==(t=Yv(e))&&void 0!==t?t:""})).join(""),r);if(("Divide"===t||"Rational"===t)&&2===i.length){const t=ig(i[0]),r=ig(i[1]);if(null!==t&&null!==r&&Number.isInteger(t)&&Number.isInteger(r))return e.number([t,r])}if("Number"===t&&1===i.length)return Qv(e,i[0]);if("Complex"===t){if(1===i.length){const t=Qv(e,i[0]),n=t.asFloat;return null!==n&&0!==n?new Gv(e,e.complex(0,n),r):e.mul([t,e.I])}if(2===i.length){const t=Qv(e,i[0]),n=Qv(e,i[1]),a=t.asFloat,o=n.asFloat;return null!==o&&null!==a?0===o&&0===a?e.ZERO:null!==o&&0!==o?new Gv(e,e.complex(a,o),r):t:e.add([t,e.mul([n,e.I])],r)}}if("Negate"===t&&i.length>0&&"number"==typeof i[0])return e.number(-i[0],r);if("Single"===t||"Pair"===t||"Triple"===t)return e.fn("Tuple",i,r);if("Dictionary"===t){const t={};for(const r of i){const i=e.box(r),n=i.head;if("KeyValuePair"===n||"Pair"===n||"Tuple"===n){const e=i.op1;if(!e.isMissing){const r=i.op2;let n=null!==(a=e.symbol)&&void 0!==a?a:e.string;if(!n&&e.isLiteral){const t=null!==(o=e.machineValue)&&void 0!==o?o:e.asSmallInteger;t&&Number.isFinite(t)&&Number.isInteger(t)&&(n=t.toString())}n&&(t[n]=r)}}}return new Bv(e,t,r)}return new Fv(e,t,i.map((t=>Qv(e,t))),r)}(e,t.fn[0],t.fn.slice(1),i):e.fn(Qv(e,t.fn[0]),t.fn.slice(1).map((t=>Qv(e,t))),i);if("str"in t)return new jv(e,t.str,i);if("sym"in t)return e.symbol(t.sym,i);if("num"in t)return e.number(t,i)}return e.symbol("Undefined")}function Wv(e,t,i){var r;if(t instanceof Gv)return t;if(Array.isArray(t)){if(2!==t.length)throw Error("Array argument to boxNumber() should be two integers");const[r,n]=t;if("number"!=typeof r||"number"!=typeof n)throw Error("Array argument to boxNumber() should be two integers");if(!Number.isInteger(r)||!Number.isInteger(n))throw Error("Array argument to boxNumber() should be two integers");if(n===r)return 0===n?e.NAN:e.ONE;if(1===n)t=r;else{if(-1!==n)return 1===r&&2===n?e.HALF:new Gv(e,[r,n],i);t=-r}}if(t instanceof Df.exports.Complex){if(t.isNaN())return e.NAN;if(t.isZero())return e.ZERO;if(t.isInfinite())return e.COMPLEX_INFINITY;if(0!==t.im)return bv(e)?new Gv(e,t,i):e.NAN;t=t.re}if(t instanceof If.exports.Decimal)return t.isNaN()?e.NAN:t.equals(e.DECIMAL_NEGATIVE_ONE)?e.NEGATIVE_ONE:t.isZero()?e.ZERO:t.equals(e.DECIMAL_ONE)?e.ONE:t.equals(e.DECIMAL_TWO)?e.TWO:!t.isFinite()&&t.isPositive()?e.POSITIVE_INFINITY:!t.isFinite()&&t.isNegative()?e.NEGATIVE_INFINITY:new Gv(e,yv(e)?t:t.toNumber(),i);if("object"==typeof t&&"num"in t)if("number"==typeof t.num)t=t.num;else if("string"==typeof t.num){let n=t.num.toLowerCase();if(/[0-9][nd]$/.test(n)&&(n=n.slice(0,-1)),n=n.replace(/[\u0009-\u000d\u0020\u00a0]/g,""),/\([0-9]+\)$/.test(n)){const[t,i,a]=null!==(r=n.match(/(.+)\(([0-9]+)\)$/))&&void 0!==r?r:[];n=i+a.repeat(Math.ceil(e.precision/a.length))}return"nan"===n?e.NAN:"infinity"===n||"+infinity"===n?e.POSITIVE_INFINITY:"-infinity"===n?e.NEGATIVE_INFINITY:"0"===n?e.ZERO:"1"===n?e.ONE:"-1"===n?e.NEGATIVE_ONE:"2"===n?e.TWO:new Gv(e,n,i)}if("number"==typeof t){if(Number.isNaN(t))return e.NAN;if(!Number.isFinite(t)&&t>0&&e.POSITIVE_INFINITY,!Number.isFinite(t)&&t<0&&e.NEGATIVE_INFINITY,-1===t)return e.NEGATIVE_ONE;if(0===t)return e.ZERO;if(1===t)return e.ONE;if(2===t)return e.TWO}return"number"==typeof t?new Gv(e,t,i):null}function Zv(e,t){if("object"==typeof t&&t instanceof av)return t;if("string"==typeof t)return Qv(e,t);if(Array.isArray(t)){const i=t.map((t=>Zv(e,t)));return new Fv(e,i[0],i.slice(1))}if("object"==typeof t){if("dict"in t)return new Bv(e,t.dict);if("fn"in t)return Zv(e,t.fn);if("str"in t)return new jv(e,t.str);if("sym"in t)return Qv(e,t.sym);if("num"in t)return Qv(e,t.num)}return Qv(e,t)}function Yv(e){var t,i;if("string"==typeof e)return e;if(e instanceof av)return null!==(i=null!==(t=e.string)&&void 0!==t?t:e.symbol)&&void 0!==i?i:e.toString();if("object"==typeof e){if("str"in e)return e.str;if("fn"in e&&"String"===e.fn[0]&&"string"==typeof e.fn[1])return e.fn[1]}return Array.isArray(e)&&"String"===e[0]&&"string"==typeof e[1]?e[1]:null}function Xv(e,t){if(!e.isLiteral)return null;let i;null!==e.machineValue&&(i=-e.machineValue),e.decimalValue&&(i=e.decimalValue.neg()),e.complexValue&&(i=e.complexValue.neg());const[r,n]=e.rationalValue;return null!==r&&null!==n&&(i=[-r,n]),void 0!==i?e.engine.number(i,t):null}function Jv(e,t){var i;if("Negate"===e.head)return e.op1;if(e.isLiteral)return Xv(e,t);if("Add"===e.head){let r=e.ops.map((e=>Jv(e)));return r=null!==(i=cv(r,"Add"))&&void 0!==i?i:r,e.engine.add(r,t)}return e.engine._fn("Negate",[e],t)}function $v(e){var t;if("Negate"===e.head)return e.op1;if(e.isLiteral)return Xv(e);const i=e.engine;if("Add"===e.head){let r=e.ops.map((e=>$v(e)));return r=null!==(t=cv(r,"Add"))&&void 0!==t?t:r,i.add(r)}return"Multiply"===e.head?function(e,t){let i=[],r=!1;for(const n of t)r||"Negate"!==n.head?i.push(n):(r=!0,i.push(n.op1));if(r)return e.mul(i);i=[];for(const n of t)!r&&n.isLiteral&&n.isInteger?(r=!0,i.push($v(n))):i.push(n);if(r)return e.mul(i);i=[];for(const n of t)!r&&n.isLiteral&&n.isNumber?(r=!0,i.push($v(n))):i.push(n);return r?e.mul(i):e._fn("Negate",[e._fn("Multiply",t)])}(i,e.ops):"Divide"===e.head?i.divide($v(e.op1),e.op2):i._fn("Negate",[e])}function ey(e,t,i="simplify"){return $v(t)}class ty{constructor(e,t){if(this._literal=[0,1],this._imaginary=0,this._posInfinityCount=0,this._negInfinityCount=0,this._terms=[],this.engine=e,t)for(const i of t)this.addTerm(i)}get isEmpty(){return 0===this._terms.length&&0===this._literal[0]&&0===this._imaginary&&0===this._negInfinityCount&&0===this._posInfinityCount}addTerm(e,t){if("Nothing"===e.symbol)return;if(void 0===t&&(t=[1,1]),e.isLiteral){if(e.isInfinity)return void(e.isPositive?this._posInfinityCount+=1:this._negInfinityCount+=1);const[i,r]=e.asRational;if(null!==i&&null!==r)return void(this._literal=[t[0]*(this._literal[0]*r+i*this._literal[1]),t[1]*r*this._literal[1]]);if(e.complexValue){let i=e.complexValue.re,r=e.complexValue.im;if(Number.isInteger(i)&&Math.abs(i)<=1e6&&(this._literal[0]+=this._literal[1]*i*t[0]/t[1],i=0),Number.isInteger(r)&&Math.abs(r)<=1e6&&(this._imaginary+=r*t[0]/t[1],r=0),0===i&&0===r)return;e=this.engine.number(this.engine.complex(i,r)).canonical}}let i;if([i,e]=kv(e),0===i[0])return;if(i=[i[0]*t[0],i[1]*t[1]],"Add"===e.head){for(const t of e.ops)this.addTerm(t,i);return}let r=!1;if(!e.isLiteral)if(this._terms.length>500){const t=e.hash;for(let n=0;n<this._terms.length;n++)if(!this._terms[n].term.isLiteral&&t===this._terms[n].term.hash&&e.isSame(this._terms[n].term)){const[e,t]=this._terms[n].coef,[a,o]=i;this._terms[n].coef=[e*o+t*a,t*o],r=!0;break}}else for(let n=0;n<this._terms.length;n++)if(!this._terms[n].term.isLiteral&&e.isSame(this._terms[n].term)){const[e,t]=this._terms[n].coef,[a,o]=i;this._terms[n].coef=[e*o+t*a,t*o],r=!0;break}r||this._terms.push({term:e,coef:i})}terms(){var e;const t=this.engine;if(this._posInfinityCount>0&&this._negInfinityCount>0)return[t.NAN];if(this._posInfinityCount>0)return[t.POSITIVE_INFINITY];if(this._negInfinityCount>0)return[t.NEGATIVE_INFINITY];if(0===this._terms.length)return 0===this._literal[0]&&0===this._imaginary?[]:0===this._imaginary?[t.number(this._literal).canonical]:0===this._literal[0]?[t.number(t.complex(0,this._imaginary)).canonical]:[t.number(this._literal).canonical,t.number(t.complex(0,this._imaginary)).canonical];const i=[];for(const{coef:[r,n],term:a}of this._terms)0!==r&&(r===n?i.push(a):r===-n?i.push(t.negate(a)):1===n?i.push(t.mul([t.number(r).canonical,a])):1===r?i.push(t.divide(a,t.number(n).canonical)):0!==r&&i.push(t.mul([t.number([r,n]).canonical,a])));return 0!==this._literal[0]&&i.push(t.number(this._literal).canonical),0!==this._imaginary&&i.push(t.number(t.complex(0,this._imaginary)).canonical),null!==(e=cv(i,"Add"))&&void 0!==e?e:i}asExpression(){const e=this.engine,t=this.terms();return 0===t.length?e.ZERO:1===t.length?t[0]:e._fn("Add",t.sort(((e,t)=>{const i=pv(e),r=pv(t);if(i<r)return-1;if(i>r)return 1;const n=hv(e),a=hv(t);if(n!==a)return a-n;const o=dv(e),s=dv(t);return o!==s?o-s:xv(e,t)})))}}function iy(e,t){var i,r,n,a;if((t=null!==(i=cv(t,"Add"))&&void 0!==i?i:t).length<=1)return null!==(r=t[0])&&void 0!==r?r:e.symbol("Nothing");if(2===t.length){let i=0,r=0;if(t[0].isLiteral&&(r=t[0].machineValue,r=null===r&&t[0].decimalValue&&null!==(n=t[0].asFloat)&&void 0!==n?n:0),0!==r?i=gv(t[1]):(i=gv(t[0]),0!==i&&(r=t[1].machineValue,r=null===r&&t[1].decimalValue&&null!==(a=t[1].asFloat)&&void 0!==a?a:0)),0!==i)return e.number(e.complex(r,i));if(t[0].isLiteral&&t[1].isLiteral){if(t[0].isZero)return t[1];if(t[1].isZero)return t[0];const[i,r]=t[0].asRational,[n,a]=t[1].asRational;if(null!==i&&null!==r&&null!==n&&null!==a)return e.number([i*a+n*r,r*a])}}return new ty(e,t).asExpression()}function ry(e,t,i){const r=new ty(e);for(const n of t){if(n.isImaginary&&n.isInfinity)return e.symbol("ComplexInfinity");if(n.isNaN||n.isMissing||"Undefined"===n.symbol)return e.NAN;r.addTerm(n)}return r.asExpression()}function ny(e,t,i,r){if("ComplexInfinity"===i.symbol)return e.NAN;if(i.isLiteral){if(i.isZero)return e.ONE;if(t.isLiteral){if(t.isOne)return e.ONE;if(t.isZero){if(i.isPositive)return e.ZERO;if(i.isNegative)return e.COMPLEX_INFINITY}if(i.isOne)return t;if(i.isNegativeOne){if(t.isOne)return e.ONE;if(t.isNegativeOne)return e.NEGATIVE_ONE;if(t.isInfinity)return e.ZERO;const[i,n]=t.rationalValue;if(null!==i&&null!==n)return e.number([n,i],r);const a=t.asFloat;return null!==a&&Number.isInteger(a)?e.number([1,a],r):e._fn("Power",[t,e.NEGATIVE_ONE],r)}const n=i.asFloat;if(.5===n||-.5===n){const i=t.asSmallInteger;if(null!==i&&i>0){const[t,r]=Xg(i,2);if(1===r&&1===t)return e.ONE;if(1!==t)return 1===r?e.number(n>=0?t:[1,t]):e.mul([e.number(t),e.power(e.number(r),e.HALF)])}return n>0?e._fn("Power",[t,e.HALF],r):e._fn("Power",[t,e.number([-1,2])],r)}if(t.isInfinity){if(i.complexValue){const t=i.complexValue.re;if(0===t)return e.NAN;if(t<0)return e.ZERO;if(t>0)return e.COMPLEX_INFINITY}if(t.isNegative){if(i.isInfinity)return e.NAN}else if(t.isPositive){if(i.isNegativeOne)return e.ZERO;if(i.isInfinity)return i.isNegative?e.ZERO:e.POSITIVE_INFINITY}}if(i.isInfinity&&(t.isOne||t.isNegativeOne))return e.NAN;const[a,o]=t.asRational;if(null!==a&&null!==o){const t=i.asSmallInteger;if(null!==t)return-1===t?e.number([o,a]):t>0?e.number([Math.pow(a,t),Math.pow(o,t)]):e.number([Math.pow(o,-t),Math.pow(a,-t)])}}}if("Power"===t.head&&t.op1.isReal){const r=i.asSmallInteger;if(null!==r){const i=t.op2.asSmallInteger;if(null!==i)return e._fn("Power",[t.op1,e.number(r*i)])}if(t.op1.isNonNegative){const[r,n]=i.asRational;if(null!==r&&null!==n){const[i,a]=t.op2.asRational;if(null!==i&&null!==a)return e._fn("Power",[t.op1,e.number([r*i,n*a])])}}}return"Multiply"===t.head&&null!==i.asSmallInteger?e._fn("Multiply",t.ops.map((t=>e.power(t,i)))):null}function ay(e,t){if(t.machineValue)return e.number(Math.pow(t.machineValue,2));if(t.decimalValue)return e.number(t.decimalValue.pow(2));if(t.complexValue)return e.number(t.complexValue.pow(2));const[i,r]=t.rationalValue;if(null!==i&&null!==r)return e.number([Math.pow(r,2),Math.pow(i,2)]);if("Multiply"===t.head)return e._fn("Multiply",t.ops.map((t=>ay(e,t))));if("Power"===t.head){const i=t.op2.asSmallInteger;return null!==i?e._fn("Power",[t.op1,e.number(2*i)]):e._fn("Power",[t.op1,e.mul([e.TWO,t.op2])])}return e._fn("Power",[t,e.TWO])}function oy(e,t,i,r){var n,a,o,s,l,u;if("N"===r&&t.isLiteral&&i.isLiteral)return t.complexValue?e.number(t.complexValue.pow(null!==(a=null!==(n=i.complexValue)&&void 0!==n?n:i.asFloat)&&void 0!==a?a:NaN)):i.complexValue&&t.asFloat?e.number(e.complex(t.asFloat).pow(i.complexValue)):t.decimalValue?e.number(t.decimalValue.pow(null!==(o=i.decimalValue)&&void 0!==o?o:i.asFloat)):t.asFloat&&(i.decimalValue||yv(e))?e.number(e.decimal(t.asFloat).pow(null!==(s=i.decimalValue)&&void 0!==s?s:i.asFloat)):e.number(Math.pow(null!==(l=t.asFloat)&&void 0!==l?l:NaN,null!==(u=i.asFloat)&&void 0!==u?u:NaN));if(null!==t.asSmallInteger){const[r,n]=i.rationalValue;if(!(1!==r&&-1!==r||2!==n&&3!==n)){const[a,o]=Xg(t.asSmallInteger,n);if(1===o&&1===a)return e.ONE;if(1===a)return;return 1===o?e.number(r>=0?a:[1,a]):e.mul([e.number(a),e.power(e.number(o),i)])}}}function sy(e,t){var i;return 0===(t=null!==(i=cv(t,"Multiply"))&&void 0!==i?i:t).length?e.symbol("Nothing"):1===t.length?t[0]:2===t.length?uy(t[0],t[1]):new Mv(e,t).asExpression()}function ly(e,t,i){const r=new Mv(e);for(const n of t){if(n.isNaN||n.isMissing||"Undefined"===n.symbol)return e.NAN;r.addTerm(n)}return r.asExpression()}function uy(e,t,i){const r=e.engine;if(e.isLiteral&&t.isLiteral&&e.isInteger&&t.isInteger){if(e.decimalValue&&t.decimalValue)return r.number(e.decimalValue.mul(t.decimalValue));if(e.machineValue&&t.machineValue)return r.number(e.machineValue*t.machineValue)}if("Nothing"===e.symbol)return t;if("Nothing"===t.symbol)return e;if(e.isLiteral&&e.isOne)return t;if(t.isLiteral&&t.isOne)return e;if(e.isLiteral&&e.isNegativeOne)return Jv(t);if(t.isLiteral&&t.isNegativeOne)return Jv(e);if(e.isMissing||t.isMissing)return r._fn("Multiply",[e,t]);let n=1,a=e,o=t;a.isLiteral&&null!==a.asRational||(o=t,a=e),"Negate"===o.head&&(o=o.op1,n=-n);const[s,l]=a.asRational;if(a.isLiteral&&null!==s&&null!==l){if(s===l)return o;if(0===s)return r.ZERO;if("Add"===o.head)return n<0&&(a=Jv(a)),r.add(o.ops.map((e=>uy(a,e))),i);if(o.isLiteral){const[e,t]=o.asRational;if(null!==e&&null!==t)return r.number($g([n*s*e,t*l]),i)}return n<0?r._fn("Multiply",[Jv(a),o],i):r._fn("Multiply",[a,o],i)}if(a.hash===o.hash&&a.isSame(o))return ay(r,a);const u=new Mv(r,[a,o]);return n>0?u.asExpression():Jv(u.asExpression(),i)}function cy(e,t,i){if(t.isLiteral&&i.isLiteral){if(t.isOne)return e.inverse(i);if(t.isNegativeOne)return Jv(e.inverse(i));if(i.isOne)return t;if(i.isNegativeOne)return Jv(t);const[r,n]=[t.asSmallInteger,i.asSmallInteger];if(null!==r&&null!==n&&0!==n)return e.number($g([r,n]))}if("Divide"===t.head&&"Divide"===i.head)return e.divide(e.mul([t.op1,i.op2]),e.mul([t.op2,i.op1]));if("Divide"===t.head)return e.divide(e.mul([t.op1,i]),t.op2);if("Divide"===i.head)return e.divide(e.mul([t,i.op2]),i.op1);let[r,n]=Sv(t),[a,o]=Sv(i);return n=n.canonical,o=o.canonical,o.isLiteral&&o.isOne?r*a<0?Jv(n):n:(o=e.inverse(o),n.isOne?o:n.isNegativeOne?Jv(o):r*a>0?e.mul([n,o]):e.negate(e.mul([n,o])))}const hy=[{functions:[{name:"Abs",domain:["Function","ExtendedRealNumber","ExtendedRealNumber"],range:[0,1/0],wikidata:"Q3317982",threadable:!0,idempotent:!0,complexity:1200,simplify:(e,t)=>dy(e,t[0],"simplify"),evaluate:(e,t)=>dy(e,t[0],"evaluate"),N:(e,t)=>dy(e,t[0],"N")},{name:"Add",wikidata:"Q32043",associative:!0,commutative:!0,threadable:!0,idempotent:!0,domain:"NumericFunction",complexity:1300,canonical:(e,t)=>iy(e,t),simplify:(e,t)=>ry(e,t),evaluate:(e,t)=>ry(e,t),N:(e,t)=>function(e,t){for(const l of t){if(l.isImaginary&&l.isInfinity)return e.symbol("ComplexInfinity");if(l.isNaN||l.isMissing||"Undefined"===l.symbol)return e.NAN}let[i,r]=[0,1],n=0,a=e.DECIMAL_ZERO,o=Df.exports.Complex.ZERO;const s=new ty(e);for(const l of t)if("Nothing"!==l.symbol&&!l.isZero){const[t,u]=l.rationalValue;null!==t&&null!==u?[i,r]=[i*u+r*t,r*u]:null!==l.decimalValue?a=a.add(l.decimalValue):null!==l.machineValue?yv(e)?a=a.add(l.machineValue):n+=l.machineValue:null!==l.complexValue?o=o.add(l.complexValue):s.addTerm(l)}if(!bv(e)&&0!==o.im)return e.NAN;if(yv(e)||0!==e.chop(a)){let t=a;if(0!==i&&(t=t.mul(r).add(i).div(r)),0!==n&&(t=t.add(n)),0!==o.re&&(t=t.add(o.re)),0!==o.im)if(uv(t)){const i=e.number(e.complex(t.toNumber(),o.im));if(s.isEmpty)return i;s.addTerm(i)}else s.addTerm(e.number(e.complex(0,o.im))),s.addTerm(e.number(t));else{if(s.isEmpty)return e.number(t);s.addTerm(e.number(t))}}else{const t=n+o.re+i/r,a=e.number(0===o.im?t:e.complex(t,o.im));if(s.isEmpty)return a;s.addTerm(a)}return s.asExpression()}(e,t)},{name:"Ceil",description:"Rounds a number up to the next largest integer",complexity:1250,domain:"NumericFunction",evaluate:(e,t)=>{const i=t[0];return i.decimalValue?e.number(i.decimalValue.ceil()):i.complexValue?e.number(i.complexValue.ceil(0)):null!==i.asFloat?e.number(Math.ceil(i.asFloat)):void 0}},{name:"Chop",associative:!0,threadable:!0,idempotent:!0,complexity:1200,domain:"NumericFunction",N:(e,t)=>{const i=t[0];return i.decimalValue?e.number(e.chop(i.decimalValue)):i.complexValue?e.number(e.chop(i.complexValue)):null!==i.asFloat?e.number(e.chop(i.asFloat)):void 0}},{name:"Complex",wikidata:"Q11567",domain:"NumericFunction",complexity:500},{name:"Divide",wikidata:"Q1226939",domain:"NumericFunction",complexity:2500,canonical:(e,t)=>t[0]&&t[1]?cy(e,t[0],t[1]):e.symbol("Missing")},{name:"Exp",domain:"NumericFunction",wikidata:"Q168698",threadable:!0,complexity:3500,canonical:(e,t)=>t[0]?e.power(e.symbol("ExponentialE"),t[0]):e.symbol("Missing")},{name:"Erf",description:"Complementary Error Function",domain:"NumericFunction",complexity:7500},{name:"Erfc",description:"Complementary Error Function",domain:"NumericFunction",complexity:7500},{name:"Factorial",description:"The factorial function",wikidata:"Q120976",complexity:9e3,domain:"NumericFunction",evaluate:(e,t)=>{const i=t[0].asSmallInteger;return null!==i&&i>=0?yv(e)?e.number(ov(e,e.decimal(i))):e.number(function(e){if(!Number.isInteger(e)||e<0)return NaN;let t=1;for(let i=2;i<=e;i++)t*=i;return t}(i)):t[0].complexValue?e.number(t[0].complexValue.add(1)):null!==t[0].asFloat?e.number(rv(1+t[0].asFloat)):void 0}},{name:"Floor",wikidata:"Q56860783",domain:["Function","ExtendedRealNumber","ExtendedRealNumber"],complexity:1250,evaluate:(e,t)=>t[0].decimalValue?e.number(t[0].decimalValue.floor()):t[0].complexValue?e.number(t[0].complexValue.floor(0)):null!==t[0].asFloat?e.number(Math.floor(t[0].asFloat)):void 0},{name:"Gamma",wikidata:"Q190573",domain:["Function","Number","Number"],complexity:8e3,N:(e,t)=>t[0].decimalValue?e.number(lv(e,t[0].decimalValue)):t[0].complexValue?e.number(t[0].complexValue):null!==t[0].asFloat?e.number(rv(t[0].asFloat)):void 0},{name:"LogGamma",domain:["Function","Number","Number"],complexity:8e3,N:(e,t)=>t[0].decimalValue?e.number(sv(e,t[0].decimalValue)):t[0].complexValue?e.number(t[0].complexValue):null!==t[0].asFloat?e.number(iv(t[0].asFloat)):void 0},{name:"Ln",description:"Natural Logarithm",domain:["Function","Number","Number"],wikidata:"Q204037",complexity:4e3,N:(e,t)=>t[0].decimalValue?e.number(t[0].decimalValue.log()):t[0].complexValue?e.number(t[0].complexValue.log()):null!==t[0].asFloat?e.number(Math.log(t[0].asFloat)):void 0},{name:"Log",description:"Log(b, z) = Logarithm of base b",wikidata:"Q11197",domain:["Function","Number","Number","Number"],complexity:4100,N:(e,t)=>{var i,r,n,a,o;const s=t[0],l=t[1];return s.decimalValue?e.number(s.decimalValue.log().div(null!==(r=null!==(i=l.decimalValue)&&void 0!==i?i:l.asFloat)&&void 0!==r?r:NaN)):s.complexValue?e.number(s.complexValue.log().div(null!==(a=null!==(n=l.complexValue)&&void 0!==n?n:l.asFloat)&&void 0!==a?a:NaN)):null!==s.asFloat?e.number(Math.log(s.asFloat)/Math.log(null!==(o=l.asFloat)&&void 0!==o?o:NaN)):void 0}},{name:"Lb",description:"Base-2 Logarithm",domain:["Function","Number","Number"],wikidata:"Q581168",complexity:4100,N:(e,t)=>{const i=t[0];return i.decimalValue?e.number(i.decimalValue.log().div(e.DECIMAL_TWO)):i.complexValue?e.number(i.complexValue.log().div(e.complex(2))):null!==i.asFloat?e.number(Math.log2(i.asFloat)):void 0}},{name:"Lg",description:"Base-10 Logarithm",domain:["Function","Number","Number"],wikidata:"Q966582",complexity:4100,N:(e,t)=>{const i=t[0];return i.decimalValue?e.number(i.decimalValue.log().div(e.decimal(10))):i.complexValue?e.number(i.complexValue.log().div(e.complex(10))):null!==i.asFloat?e.number(Math.log10(i.asFloat)):void 0}},{name:"Multiply",domain:"NumericFunction",wikidata:"Q40276",associative:!0,commutative:!0,idempotent:!0,complexity:2100,canonical:(e,t)=>sy(e,t),simplify:(e,t)=>ly(e,t),evaluate:(e,t)=>ly(e,t),N:(e,t)=>function(e,t){for(const l of t)if(l.isNaN||l.isMissing||"Undefined"===l.symbol)return e.NAN;let[i,r]=[1,1],n=1,a=e.DECIMAL_ONE,o=Df.exports.Complex.ONE;const s=new Mv(e);for(const l of t)if("Nothing"!==l.symbol&&!l.isOne){const[t,u]=l.rationalValue;null!==t&&null!==u?[i,r]=[i*t,r*u]:null!==l.decimalValue?a=a.mul(l.decimalValue):null!==l.machineValue?yv(e)?a=a.mul(l.machineValue):n*=l.machineValue:null!==l.complexValue?o=o.mul(l.complexValue):s.addTerm(l)}if(!bv(e)&&0!==o.im)return e.NAN;if(yv(e)||!a.eq(e.DECIMAL_ONE)){const t=a.mul(i).div(r).mul(n);if(1!==o.re||0!==o.im)if(uv(t)){const 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0!==s?s:NaN)):null!==l.asFloat&&null!==u.asFloat?e.number(l.asFloat-u.asFloat):void 0}}]},{symbols:[{name:"MachineEpsilon",domain:"RealNumber",constant:!0,real:!0,value:{num:Number.EPSILON.toString()}},{name:"Half",constant:!0,hold:!1,value:["Rational",1,2]},{name:"ImaginaryUnit",domain:"ImaginaryNumber",constant:!0,hold:!0,wikidata:"Q193796",imaginary:!0,value:["Complex",0,1]},{name:"ExponentialE",domain:"TranscendentalNumber",algebraic:!1,wikidata:"Q82435",constant:!0,hold:!0,real:!0,value:e=>yv(e)?e.DECIMAL_ONE.exp():Math.exp(1)},{name:"GoldenRatio",domain:"AlgebraicNumber",wikidata:"Q41690",constant:!0,algebraic:!0,hold:!1,value:["Divide",["Add",1,["Sqrt",5]],2]},{name:"CatalanConstant",domain:"RealNumber",algebraic:void 0,wikidata:"Q855282",constant:!0,value:{num:"0.91596559417721901505460351493238411077414937428167\n                  21342664981196217630197762547694793565129261151062\n                  48574422619196199579035898803325859059431594737481\n                  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t.complexValue?e.number(t.complexValue.sqrt()):t.isNonNegative?t.decimalValue?e.number(t.decimalValue.sqrt()):null!==t.asFloat?e.number(Math.sqrt(t.asFloat)):void 0:bv(e)?e.number(e.complex(t.asFloat).sqrt()):e.NAN;if(null!==t.asSmallInteger){const[i,r]=Xg(t.asSmallInteger,2);if(1===r)return e.number(i);if(1!==i)return this._fn("Multiply",[i,e._fn("Sqrt",[e.box(r).canonical])])}}const my=[{symbols:[{name:"Missing",domain:"Anything"},{name:"Nothing",domain:"Nothing"}]},{functions:[{name:"KeyValuePair",domain:["Function","String","Anything",["Tuple","String","Anything"]],description:"A key/value pair",complexity:8200,canonical:(e,t)=>e.tuple(t)},{name:"Single",domain:["Function","Anything",["Tuple","Anything"]],description:"A tuple with a single element",complexity:8200,canonical:(e,t)=>e.tuple(t)},{name:"Pair",domain:["Function","Anything","Anything",["Tuple","Anything","Anything"]],description:"A tuple of two 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i=t[0].domain.domainExpression;return["Function",i,["Optional","String"],["Optional","Expression"],i]},complexity:500,inert:!0,hold:"all",evaluate:(e,t)=>t[0].evaluate()},{name:"Style",domain:(e,t)=>{if(!t[0])return"Nothing";const i=t[0].domain.domainExpression;return["Function",i,["Optional",["Head","Dictionary"]],i]},complexity:9e3,inert:!0}]},{functions:[{name:"Apply",domain:"Function"},{name:"About",domain:"Function"},{name:"Block",domain:"Function"},{name:"Domain",domain:"Function"},{name:"Evaluate",domain:"Function",hold:"all",evaluate:(e,t)=>t[0].evaluate()},{name:"FromDigits",description:"`FromDigits(s, base=10)`       return an integer representation of the string `s` in base `base`.",evaluate:(e,t)=>{const i=t[0];if(i.isMissing)return;if(!i.string)return e.error(e._fn("FromDigits",t),"Expected first argument as a string",["LatexForm",i.latex]);const r=t[1];if(r.isMissing&&e.number(Number.parseInt(i.string,10)),null===r.machineValue)return["Error",e._fn("FromDigits",t),{str:"Expected `base` as an integer between 2 and 36"},["LatexForm",r.latex]];const n=r.machineValue;if(n<2||n>36)return["Error",e._fn("FromDigits",t),{str:"Expected `base` as an integer between 2 and 36"},["LatexForm",r.latex]];const[a,o]=nv(i.string,n);return o?["Error",a,{str:"unexpected-digits"},["LatexForm",o]]:e.number(a)}},{name:"Head",domain:"Function",evaluate:(e,t)=>{const i=t[0];return"string"==typeof i.head?e.symbol(i.head):i.head}},{name:"Html",domain:["Function","Expression","String"],evaluate:(e,t)=>(t.length,e.string(""))},{name:"IntegerString",domain:["Function","Integer",["Optional","Integer"],"String"],description:"`IntegerString(n, base=10)`       return a string representation of the integer `n` in base `base`.",evaluate:(e,t)=>{var i,r,n,a;const o=t[0];if(o.isMissing)return;const s=null!==(n=null!==(i=o.machineValue)&&void 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i=globalThis.performance.now(),r=t[0].evaluate(),n=1e3*(globalThis.performance.now()-i);return e.pair(e.number(n),r)}let r,n=Math.max(3,Math.round(null!==(i=t[1].asSmallInteger)&&void 0!==i?i:3)),a=[];for(;n>0;){const e=globalThis.performance.now();r=t[0].evaluate(),a.push(1e3*(globalThis.performance.now()-e)),n-=1}const o=Math.max(...a),s=Math.min(...a);a=a.filter((e=>e>s&&e<o));const l=a.reduce(((e,t)=>e+t),0);return 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e.symbol("True");const i=[];for(const r of t){if("False"===r.symbol)return e.symbol("False");if("True"!==r.symbol){let t=!1;for(const n of i)if(n.isSame(r))t=!0;else if("Not"===r.head&&r.op1.isSame(n)||"Not"===n.head&&n.op1.isSame(r))return e.symbol("False");t||i.push(r)}}return 0===i.length?e.symbol("True"):1===i.length?i[0]:e._fn("And",i)}function vy(e,t){if(0===t.length)return e.symbol("True");const i=[];for(const r of t){if("True"===r.symbol)return e.symbol("True");if("False"!==r.symbol){let t=!1;for(const n of i)if(n.isSame(r))t=!0;else if("Not"===r.head&&r.op1.isSame(n)||"Not"===n.head&&n.op1.isSame(r))return e.symbol("True");t||i.push(r)}}return 0===i.length?e.symbol("True"):1===i.length?i[0]:e._fn("Or",i)}function yy(e,t){const i=t[0].symbol;return"True"===i?e.symbol("False"):"False"===i?e.symbol("True"):"Maybe"===i?e.symbol("Maybe"):void 0}function by(e,t){const 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0!==e.integer&&(this._integer=e.integer),void 0!==e.rational&&(this._rational=e.rational),void 0!==e.algebraic&&(this._algebraic=e.algebraic),void 0!==e.real&&(this._real=e.real),void 0!==e.extendedReal&&(this._extendedReal=e.extendedReal),void 0!==e.complex&&(this._complex=e.complex),void 0!==e.extendedComplex&&(this._extendedComplex=e.extendedComplex),void 0!==e.imaginary&&(this._imaginary=e.imaginary),void 0!==e.positive&&(this._positive=e.positive),void 0!==e.nonPositive&&(this._nonPositive=e.nonPositive),void 0!==e.negative&&(this._negative=e.negative),void 0!==e.nonNegative&&(this._nonNegative=e.nonNegative),void 0!==e.zero&&(this._zero=e.zero),void 0!==e.notZero&&(this._notZero=e.notZero),void 0!==e.one&&(this._one=e.one),void 0!==e.negativeOne&&(this._negativeOne=e.negativeOne),void 0!==e.infinity&&(this._infinity=e.infinity),void 0!==e.finite&&(this._finite=e.finite),void 0!==e.NaN&&(this._NaN=e.NaN),void 0!==e.even&&(this._even=e.even),void 0!==e.odd&&(this._odd=e.odd),void 0!==e.prime&&(this._prime=e.prime),void 0!==e.composite&&(this._composite=e.composite)}get number(){return this._number}set number(e){this.updateFlags({number:e})}get integer(){return this._integer}set integer(e){this.updateFlags({integer:e})}get rational(){return this._rational}set rational(e){this.updateFlags({rational:e})}get algebraic(){return this._algebraic}set algebraic(e){this.updateFlags({algebraic:e})}get real(){return this._real}set real(e){this.updateFlags({real:e})}get extendedReal(){return this._extendedReal}set extendedReal(e){this.updateFlags({extendedReal:e})}get complex(){return this._complex}set complex(e){this.updateFlags({complex:e})}get extendedComplex(){return this._extendedComplex}set extendedComplex(e){this.updateFlags({extendedComplex:e})}get imaginary(){return this._imaginary}set imaginary(e){this.updateFlags({imaginary:e})}get positive(){return this._positive}set positive(e){this.updateFlags({positive:e})}get nonPositive(){return this._nonPositive}set nonPositive(e){this.updateFlags({nonPositive:e})}get negative(){return this._negative}set negative(e){this.updateFlags({negative:e})}get nonNegative(){return this._nonNegative}set nonNegative(e){this.updateFlags({nonNegative:e})}get zero(){return this._zero}set zero(e){this.updateFlags({zero:e})}get notZero(){return this._notZero}set notZero(e){this.updateFlags({notZero:e})}get one(){return this._one}set one(e){this.updateFlags({one:e})}get negativeOne(){return this._negativeOne}set negativeOne(e){this.updateFlags({negativeOne:e})}get infinity(){return this._infinity}set infinity(e){this.updateFlags({infinity:e})}get finite(){return this._finite}set finite(e){this.updateFlags({finite:e})}get NaN(){return this._NaN}set NaN(e){this.updateFlags({NaN:e})}get even(){return this._even}set even(e){this.updateFlags({even:e})}get odd(){return this._odd}set odd(e){this.updateFlags({odd:e})}get prime(){var e;if(void 0===this._prime&&(null===(e=this._value)||void 0===e?void 0:e.isNumber))if(!this._value.isInteger||this._value.isNonPositive)this._prime=!1,this._composite=!1;else{const e=this._value.asFloat;null!==e?(this._prime=Hv(e),this._composite=!this._prime):(this._prime=void 0,this._composite=void 0)}return this._prime}set prime(e){this.updateFlags({prime:e})}get composite(){if(void 0===this._composite){const e=this.prime;this._composite=void 0===e?void 0:!e}return this._composite}set composite(e){this.updateFlags({composite:e})}}class qy{constructor(e,t){var i,r,n,a,o,s,l,u,c,h;const d=t.domain?"function"==typeof t.domain?t.domain:e.domain(t.domain):e.domain("Function"),p=null!==(i=t.hold)&&void 0!==i?i:"none",m=null!==(r=t.idempotent)&&void 0!==r&&r,f=null!==(n=t.involution)&&void 0!==n&&n;if(m&&f)throw Error(`Function Definition "${t.name}": the 'idempotent' and 'involution' flags are mutually exclusive in function `);this.name=t.name,this.description=t.description,this.wikidata=t.wikidata,this.scope=e.context,this.threadable=null!==(a=t.threadable)&&void 0!==a&&a,this.associative=null!==(o=t.associative)&&void 0!==o&&o,this.commutative=null!==(s=t.commutative)&&void 0!==s&&s,this.idempotent=m,this.involution=f,this.inert=null!==(l=t.inert)&&void 0!==l&&l,this.pure=null===(u=t.pure)||void 0===u||u,this.complexity=null!==(c=t.complexity)&&void 0!==c?c:1e5,this.hold=p,this.sequenceHold=null!==(h=t.sequenceHold)&&void 0!==h&&h,this.range=t.range,this.domain=d,this.canonical=t.canonical,this.simplify=t.simplify,this.evaluate=t.evaluate?"function"==typeof t.evaluate?t.evaluate:e.box(t.evaluate).canonical:void 0,this.N=t.N,this.evalDimension=t.evalDimension,this.sgn=t.sgn,this.compile=t.compile}_purge(){}}function Dy(e,t){return new qy(e,t)}function Oy(e,t){const i=e.engine;return"Negate"===e.head&&"Negate"===t.head?Oy(e.op1,t.op1):"Negate"===e.head?Jv(Oy(e.op1,t)):"Negate"===t.head?Jv(Oy(e,t.op1)):"Add"===e.head?i.add(e.ops.map((e=>Oy(e,t)))):"Add"===t.head?i.add(t.ops.map((t=>Oy(e,t)))):i.mul([e,t])}function Ry(e,t){if(1===t)return e;const i=Oy(e,e);return 2===t?i:t%2==0?Ry(i,t/2):Oy(Ry(i,Math.round(t/2)-1),e)}function Fy(e="all"){if("all"===e)return Fy(["domains","core","collections","algebra","arithmetic","calculus","combinatorics","dimensions","linear-algebra","logic","numeric","other","physics","polynomials","relop","statistics","trigonometry","units"]);const t=[];for(const i of e){const e=Py[i];e&&Array.isArray(e)?t.push(...e):e&&t.push(e)}return t}const Py={arithmetic:hy,core:my,collections:[{symbols:[{name:"EmptySet",domain:"Set",constant:!0,wikidata:"Q226183"}],functions:[{name:"Element",domain:"Predicate",complexity:11200},{name:"NotElement",domain:"Predicate",complexity:11200,canonical:(e,t)=>e.fn("Not",[e.fn("Element",t)])},{name:"Subset",domain:"Predicate",complexity:11200},{name:"NotSubset",domain:"Predicate",complexity:11200,canonical:(e,t)=>e.fn("Not",[e.fn("Subset",t)])},{name:"Superset",domain:"Predicate",complexity:11200},{name:"SupersetEqual",domain:"Predicate",complexity:11200},{name:"NotSuperset",domain:"Predicate",complexity:11200,canonical:(e,t)=>e.fn("Not",[e.fn("Superset",t)])},{name:"NotSupersetEqual",domain:"Predicate",complexity:11200,canonical:(e,t)=>e.fn("Not",[e.fn("SupersetEqual",t)])},{name:"SubsetEqual",domain:"Predicate",complexity:11200},{name:"NotSubsetNotEqual",domain:"Predicate",complexity:11200,canonical:(e,t)=>e.fn("Not",[e.fn("SubsetEqual",t)])},{name:"CartesianProduct",domain:["Function",["Some","Set"],"Set"],wikidata:"Q173740"},{name:"Complement",domain:["Function","Set","Set"],wikidata:"Q242767"},{name:"Intersection",domain:["Function",["Some","Set"],"Set"],wikidata:"Q185837",threadable:!0,associative:!0,commutative:!0,involution:!0,evaluate:function(e,t){return e.symbol("EmptySet")}},{name:"Union",domain:["Function",["Some","Set"],"Set"],wikidata:"Q185359",threadable:!0,associative:!0,commutative:!0,involution:!0,evaluate:function(e,t){return e.symbol("False")}},{name:"Set",domain:["Function",["Some","Anything"],"Set"]},{name:"SetMinus",domain:["Function","Set","Expresison","Set"],wikidata:"Q18192442",evaluate:function(e,t){return e.symbol("EmptySet")}},{name:"SymmetricDifference",domain:["Function",["Some","Set"],"Set"],wikidata:"Q1147242"}]},{functions:[{name:"Sequence"}]}],logic:fy,relop:{functions:[{name:"Equal",domain:"RelationalOperator",commutative:!0,complexity:11e3,evaluate:(e,t)=>{if(t.length<2)return e.symbol("True");let i;for(const r of t)if(i){if(!1===i.isEqual(r))return e.symbol("False")}else i=r;return e.symbol("True")}},{name:"NotEqual",wikidata:"Q28113351",commutative:!0,complexity:11e3,domain:"RelationalOperator",evaluate:(e,t)=>{if(t.length<2)return e.symbol("False");let i;for(const r of t)if(i){if(!0===i.isEqual(r))return e.symbol("False")}else i=r;return e.symbol("True")}},{name:"Less",complexity:11e3,domain:"RelationalOperator",evaluate:(e,t)=>{if(t.length<2)return e.symbol("True");let i;for(const r of t){if(!r.isNumber)return;if(i){const t=e.fn("Subtract",[r,i]).N().sgn;if(null==t)return;if(t<=0)return e.symbol("False");i=r}else i=r}return e.symbol("True")}},{name:"NotLess",complexity:11e3,domain:"RelationalOperator",canonical:(e,t)=>e._fn("Not",[e._fn("Less",t)])},{name:"Greater",complexity:11e3,domain:"RelationalOperator",canonical:(e,t)=>e._fn("Less",t.reverse()),evaluate:(e,t)=>{if(t.length<2)return e.symbol("True");let i;for(const r of t){if(!r.isNumber)return;if(i){const t=e.fn("Subtract",[r,i]).N().sgn;if(null==t)return;if(t>=0)return e.symbol("False");i=r}else i=r}return e.symbol("True")}},{name:"NotGreater",complexity:11e3,domain:"RelationalOperator",canonical:(e,t)=>e._fn("Not",[e._fn("Greater",t)])},{name:"LessEqual",complexity:11e3,domain:"RelationalOperator",evaluate:(e,t)=>{if(t.length<2)return e.symbol("True");let i;for(const r of t){if(!r.isNumber)return;if(i){const t=e.fn("Subtract",[r,i]).N().sgn;if(null==t)return;if(t<0)return e.symbol("False");i=r}else i=r}return e.symbol("True")}},{name:"NotLessNotEqual",complexity:11e3,domain:"RelationalOperator",canonical:(e,t)=>e._fn("Not",[e._fn("LessEqual",t)])},{name:"GreaterEqual",complexity:11e3,domain:"RelationalOperator",canonical:(e,t)=>e._fn("LessEqual",t.reverse()),evaluate:(e,t)=>{if(t.length<2)return e.symbol("True");let i;for(const r of t){if(!r.isNumber)return;if(i){const t=e.fn("Subtract",[r,i]).N().sgn;if(null==t)return;if(t>0)return e.symbol("False");i=r}else i=r}return e.symbol("True")}},{name:"NotGreaterNotEqual",complexity:11e3,domain:"RelationalOperator",canonical:(e,t)=>e._fn("Not",[e._fn("GreaterEqual",t)])},{name:"TildeFullEqual",description:"Indicate isomorphism, congruence and homotopic equivalence",domain:"RelationalOperator"},{name:"NotTildeFullEqual",complexity:11100,domain:"RelationalOperator",canonical:(e,t)=>e._fn("Not",[e._fn("TildeFullEqual",t)])},{name:"TildeEqual",description:"Approximately or asymptotically equal",domain:"RelationalOperator",complexity:11e3},{name:"NotTildeEqual",complexity:11100,domain:"RelationalOperator",canonical:(e,t)=>e._fn("Not",[e._fn("TildeEqual",t)])},{name:"Approx",complexity:11100,domain:"RelationalOperator"},{name:"NotApprox",complexity:11100,domain:"RelationalOperator",canonical:(e,t)=>e._fn("Not",[e._fn("Approx",t)])},{name:"ApproxEqual",complexity:11100,domain:"RelationalOperator"},{name:"NotApproxEqual",complexity:11100,domain:"RelationalOperator",canonical:(e,t)=>e._fn("Not",[e._fn("ApproxEqual",t)])},{name:"ApproxNotEqual",domain:"RelationalOperator",complexity:11100},{name:"NotApproxNotEqual",complexity:11100,domain:"RelationalOperator",canonical:(e,t)=>e._fn("Not",[e._fn("ApproxNotEqual",t)])},{name:"Precedes",complexity:11100,domain:"RelationalOperator"},{name:"NotPrecedes",complexity:11100,domain:"RelationalOperator",canonical:(e,t)=>e._fn("Not",[e._fn("Precedes",t)])},{name:"Succeeds",domain:"RelationalOperator"},{name:"NotSucceeds",complexity:11100,domain:"RelationalOperator",canonical:(e,t)=>e._fn("Not",[e._fn("Succeeds",t)])}]},polynomials:[{functions:[{name:"Expand",description:"Expand out products and positive integer powers",evaluate:(e,t)=>t[0]?function(e){if("Multiply"===(e=e.simplify()).head)return 2===e.nops?Oy(e.op1,e.op2):e.ops.reduce(((e,t)=>Oy(e,t)),e.engine.ONE);if("Power"===e.head){const t=e.op1.head;if("Multiply"===t)return e.engine.mul(e.op1.ops.map((t=>e.engine.power(t,e.op2))));if("Negate"===t){const t=e.op2.asSmallInteger;if(null!==t&&t>0)return t%2==0?e.engine.power(e.op1.op1,e.op2):e.engine.negate(e.engine.power(e.op1.op1,e.op2))}if("Add"===t){const t=e.op2.asSmallInteger;if(null!==t)return t>0?Ry(e.op1,t):e.engine.inverse(Ry(e.op1,-t))}}return e}(t[0]):e.symbol("Nothing")}]}],physics:{symbols:[{name:"Mu-0",description:"Vaccum permeability",constant:!0,wikidata:"Q1515261",domain:"RealNumber",value:125663706212e-17}]},trigonometry:xy};function Vy(e,t){if("object"!=typeof t||!("name"in t)||!t.name)throw Error("Missing name for definition "+JSON.stringify(t));if(!/[A-Za-z][A-Za-z0-9-]*/.test(t.name)&&1!==t.name.length)throw Error("Invalid definition 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e.string===a?i:null;const o=t.symbol;if(null!==o)return o.startsWith("_")?Qy(o,e,i):o===e.symbol?i:null;if(t.nops!==e.nops)return null;const s=t.keys;if(null!==s){const t=e.keys;if(null===t)return null;for(const e of s){const n=Wy(t[e],s[e],i,r);if(null===n)return null;i=n}return i}if(t.ops){const a=t.head;if("string"==typeof a&&a.startsWith("_"))return Qy(a,n.box(e.head),i);{const t=Wy(n.box(e.head),n.pattern(a),i,r);if(null===t)return null;i=t}const o=e.ops;let s={...i},l=0;const u=t.ops.map((e=>n.pattern(e)));for(;l<t.nops;){const e=u[l],t=e.symbol;if(null!==t)if(t.startsWith("__")){let e=0;if(void 0===u[l+1])e=o.length+1;else{let t=!1;for(;!t&&e<o.length;)t=null!==Wy(o[e],u[l+1],i,r),e+=1;if(!t)return null}if(!t.startsWith("___")&&e<=1)return null;s=Qy(t,n.fn("Sequence",o.splice(0,e-1)),s)}else if(t.startsWith("_"))s=Qy(t,o.shift(),s);else{const t=Wy(o.shift(),e,i,r);if(null===t)return null;s={...s,...t}}else{const t=Wy(o.shift(),e,i,r);if(null===t)return null;s={...s,...t}}if(null===s)return null;l+=1}return s}return null}class Zy extends av{constructor(e,t,i){if(super(e,i),this._name=t.normalize(),r=this._name,/[\u0000-\u0020\u0022\u0060\ufffe\uffff]/.test(r)||/^[\u0021\u0022\u0024-\u002e\u003a\u003f\u0040\u005b\u005d\u005e\u007b\u007d\u007e]$/.test(r[0]))throw Error(`The name "${this._name}" cannot be used as a symbol name`);var r;this._repairDefinition(),e._register(this)}get hash(){return void 0===this._hash&&(this._hash=wv(this._name)),this._hash}_purge(){var e;return null===(e=this._def)||void 0===e?void 0:e._purge()}get isPure(){var e,t,i;return null!==(i=(null===(e=this._def)||void 0===e?void 0:e.constant)&&(null===(t=this._def.value)||void 0===t?void 0:t.isPure))&&void 0!==i&&i}get isCanonical(){return!0}set isCanonical(e){}get wikidata(){var e,t,i;return null!==(i=null!==(e=this._wikidata)&&void 0!==e?e:null===(t=this._def)||void 0===t?void 0:t.wikidata)&&void 0!==i?i:""}get description(){return this._def&&this._def.description?"string"==typeof this._def.description?[this._def.description]:this._def.description:[]}get url(){var e,t;return null!==(t=null===(e=this._def)||void 0===e?void 0:e.url)&&void 0!==t?t:""}get complexity(){return 7}get head(){return"Symbol"}get symbol(){return this._name}get isMissing(){return"Missing"===this._name}get isLiteral(){return!1}get symbolDefinition(){return this._def}_repairDefinition(){if("_"===this._name[0])return;let e;this._wikidata&&(e=this.engine.getSymbolDefinition("",this._wikidata)),e||(e=this.engine.getSymbolDefinition(this._name),e&&e.wikidata&&this._wikidata&&e.wikidata!==this._wikidata&&(e=void 0)),e?(this._name=e.name,this._def=e):null!==this.engine.defaultDomain?(this._def=this.engine.defineSymbol({name:this._name,wikidata:this._wikidata,domain:this.engine.defaultDomain,...Ty(this.engine.defaultDomain)}),this._name=this._def.name):this._def=void 0}get value(){var e;return null===(e=this._def)||void 0===e?void 0:e.value}set value(e){var t,i;if("_"===this._name[0])throw Error(`The value of the wildcard "${this._name}" cannot be changed`);let r;if(this.engine.forget(this._name),void 0!==e){const i=this.engine.box(e);r=null!==(t=i.value)&&void 0!==t?t:i.evaluate()}this._def?this._def.value=r:this._def=this.engine.defineSymbol({name:this._name,value:r,domain:null!==(i=this.engine.defaultDomain)&&void 0!==i?i:this.engine.domain("Anything")})}get numericValue(){var e,t;return null===(t=null===(e=this._def)||void 0===e?void 0:e.value)||void 0===t?void 0:t.numericValue}get domain(){var e,t,i;return"function"==typeof(null===(e=this._def)||void 0===e?void 0:e.domain)?this.engine.domain(this._def.domain(this.engine,[])):null!==(i=null===(t=this._def)||void 0===t?void 0:t.domain)&&void 0!==i?i:this.engine.domain("Anything")}set domain(e){if("_"===this._name[0])throw Error(`The domain of the wildcard "${this._name}" cannot be changed`);this._def?this._def.domain=e:this._def=this.engine.defineSymbol({name:this._name,domain:e,...Ty(e)})}get json(){return Ev(this.engine,this._name,{wikidata:this._wikidata})}get sgn(){var e,t,i,r;const n=null===(e=this.value)||void 0===e?void 0:e.sgn;return void 0!==n?n:!0===(null===(t=this._def)||void 0===t?void 0:t.zero)?0:!0===(null===(i=this._def)||void 0===i?void 0:i.positive)?1:!0===(null===(r=this._def)||void 0===r?void 0:r.negative)?-1:void 0}has(e){return"string"==typeof e?this._name===e:e.includes(this._name)}isSame(e){return e instanceof Zy&&this._name===e._name}match(e,t){return e instanceof Zy&&this._name===e._name?{}:null}isEqual(e){var t;if(this===e)return!0;if(null!==e.symbol)return e.symbol===this._name;const i=null===(t=this._def)||void 0===t?void 0:t.value;if(i)return i.isEqual(e);if(e.isZero){if(this.isZero)return!0;if(this.isNotZero)return!1}return this.isZero&&e.isNotZero||this.engine.ask(["NotEqual",this,e]).length,!1}isLess(e){if(null!==e.symbol&&e.symbol===this._name)return!1;if(e.isZero){const e=this.sgn;if(null===e)return!1;if(void 0!==e)return e<0}}isLessEqual(e){if(null!==e.symbol&&e.symbol===this._name)return!0;if(e.isZero){const e=this.sgn;if(null===e)return!1;if(void 0!==e)return e<=0}return this.isLess(e)||this.isEqual(e)}isGreater(e){if(null!==e.symbol&&e.symbol===this._name)return!1;if(e.isZero){const e=this.sgn;if(null===e)return!1;if(void 0!==e)return e>0}}isGreaterEqual(e){if(null!==e.symbol&&e.symbol===this._name)return!0;if(e.isZero){const e=this.sgn;if(null===e)return!1;if(void 0!==e)return e>=0}return this.isGreater(e)||this.isEqual(e)}get isZero(){var e,t,i,r;return null!==(t=null===(e=this._def)||void 0===e?void 0:e.zero)&&void 0!==t?t:null===(r=null===(i=this._def)||void 0===i?void 0:i.value)||void 0===r?void 0:r.isZero}get isNotZero(){var e;const t=null===(e=this._def)||void 0===e?void 0:e.notZero;if("boolean"==typeof t)return t;const i=this.sgn;return"number"==typeof i?0!==i:void 0}get isOne(){var e;return null===(e=this._def)||void 0===e?void 0:e.one}get isNegativeOne(){var e;return null===(e=this._def)||void 0===e?void 0:e.negativeOne}get isOdd(){var e;return null===(e=this._def)||void 0===e?void 0:e.odd}get isEven(){var e;return null===(e=this._def)||void 0===e?void 0:e.even}get isPrime(){var e;return null===(e=this._def)||void 0===e?void 0:e.prime}get isComposite(){var e;return null===(e=this._def)||void 0===e?void 0:e.composite}get isInfinity(){var e;return null===(e=this._def)||void 0===e?void 0:e.infinity}get isNaN(){var e;return null===(e=this._def)||void 0===e?void 0:e.NaN}get isPositive(){var e;return null===(e=this._def)||void 0===e?void 0:e.positive}get isNonPositive(){var e;return null===(e=this._def)||void 0===e?void 0:e.nonPositive}get isNegative(){var e;return null===(e=this._def)||void 0===e?void 0:e.negative}get isNonNegative(){var e;return null===(e=this._def)||void 0===e?void 0:e.nonNegative}get isNumber(){var e;return null===(e=this._def)||void 0===e?void 0:e.number}get isInteger(){var e;return null===(e=this._def)||void 0===e?void 0:e.integer}get isRational(){var e;return null===(e=this._def)||void 0===e?void 0:e.rational}get isAlgebraic(){var e;return null===(e=this._def)||void 0===e?void 0:e.rational}get isReal(){var e;return null===(e=this._def)||void 0===e?void 0:e.real}get isExtendedReal(){var e;return null===(e=this._def)||void 0===e?void 0:e.extendedReal}get isComplex(){var e;return null===(e=this._def)||void 0===e?void 0:e.complex}get isImaginary(){var e;return null===(e=this._def)||void 0===e?void 0:e.imaginary}get canonical(){var e,t,i,r,n,a;return!1===(null===(e=this._def)||void 0===e?void 0:e.hold)&&null!==(a=null!==(r=null===(i=null===(t=this._def)||void 0===t?void 0:t.value)||void 0===i?void 0:i.value)&&void 0!==r?r:null===(n=this._def)||void 0===n?void 0:n.value)&&void 0!==a?a:this}simplify(e){var t,i;const r=(null===e||void 0===e?void 0:e.rules)&&null!==(t=this.replace(e.rules))&&void 0!==t?t:this;if(!1===(null===(i=r.symbolDefinition)||void 0===i?void 0:i.hold)){const t=r.value;if(t)return t.simplify(e)}return r}evaluate(e){var t,i,r,n;return!0===(null===(t=this.symbolDefinition)||void 0===t?void 0:t.hold)?this:null!==(n=null===(r=null===(i=this._def)||void 0===i?void 0:i.value)||void 0===r?void 0:r.evaluate(e))&&void 0!==n?n:this}N(e){var t,i,r,n;const a=null===(t=this._def)||void 0===t?void 0:t.value;return null!==(n=null!==(r=null!==(i=null===a||void 0===a?void 0:a.N(e))&&void 0!==i?i:null===a||void 0===a?void 0:a.evaluate(e))&&void 0!==r?r:a)&&void 0!==n?n:this}replace(e,t){return Dv(this,e,t)}subs(e){var t;return null!==(t=e[this._name])&&void 0!==t?t:this}}class Yy extends av{constructor(e,t,i){super(e,i),this._value=t}get domainExpression(){return this._value}get hash(){return void 0===this._hash&&(this._hash=eb(this._value)),this._hash}get isCanonical(){return!0}isEqual(e){return!1}isSame(e){return!1}isSubdomainOf(e){return function(e,t){const i=t instanceof Yy?t._value:t,r=e instanceof Yy?e._value:e;if("string"==typeof r&&"string"==typeof i){const e=Jy(r,i);if("boolean"==typeof e)return e}return!0}(this,e)}isMemberOf(e){return!1}get json(){return"string"==typeof this._value?Ev(this.engine,this._value,{wikidata:this._wikidata}):["Domain",this._value]}match(e,t){return e instanceof Yy&&this.isSame(e)?{}:null}get head(){return"Domain"}get domain(){return this.engine.domain("Domain")}get codomain(){return"string"==typeof this._value||"Function"!==this._value[0]?null:this.engine.domain(this._value[this._value.length-1])}is(e){return this.isSame(e)}get isNothing(){return"Nothing"===this._value}get isFunction(){return"string"!=typeof this._value&&"Function"===this._value[0]}get isPredicate(){if("string"==typeof this._value)return!1;if("Function"!==this._value[0])return!1;const e=this._value[this._value.length];return e instanceof Yy&&e.isBoolean}get isNumericFunction(){if("string"==typeof this._value)return!1;if("Function"!==this._value[0])return!1;for(const e of this._value)if(!Jy(e,"Number"))return!1;return!0}get isBoolean(){return $y(this._value)}get isRealFunction(){if("string"==typeof this._value)return!1;if("Function"!==this._value[0])return!1;for(const e of this._value)if(!Jy(e,"ExtendedRealNumber"))return!1;return!0}get isNumeric(){return this.isSubdomainOf("Number")}get isLogicOperator(){return!("string"==typeof this._value||"Function"!==this._value[0]||this._value.length<2||this._value.length>3||!$y(this._value[this._value.length-1])||!$y(this._value[1])||3===this._value.length&&!$y(this._value[2]))}get isRelationalOperator(){return"string"!=typeof this._value&&"Function"===this._value[0]&&3===this._value.length&&!!$y(this._value[this._value.length-1])}}function Xy(e,t,i){if(t instanceof Yy)return t;let r;if(!r&&"string"==typeof t){const n={Function:["Function",["Optional",["Some","Anything"]],"Anything"],NumericFunction:["Function",["Optional",["Some","Number"]],"Number"],RealFunction:["Function",["Optional",["Some","ExtendedRealNumber"]],"ExtendedRealNumber"],TrigonometricFunction:["Function","Number","Number"],HyperbolicFunction:["Function","Number","Number"],LogicOperator:["Function","MaybeBoolean",["Optional","MaybeBoolean"],"MaybeBoolean"],Predicate:["Function",["Optional",["Some","Anything"]],"MaybeBoolean"],RelationalOperator:["Function","Anything","Anything","MaybeBoolean"]}[t];n&&(r=new Yy(e,n,i))}return r||(r=new Yy(e,t,i)),r}function Jy(e,t){var i,r;return"string"==typeof e&&(null!==(r=null===(i={Number:["Number","ExtendedComplexNumber","ExtendedRealNumber","ComplexNumber","ImaginaryNumber","RealNumber","TranscendentalNumber","AlgebraicNumber","RationalNumber","Integer","NegativeInteger","NegativeNumber","NonNegativeNumber","NonNegativeInteger","NonPositiveNumber","NonPositiveInteger","PositiveInteger","PositiveNumber"],ExtendedComplexNumber:["Number","ExtendedRealNumber","ComplexNumber","ImaginaryNumber","RealNumber","TranscendentalNumber","AlgebraicNumber","RationalNumber","Integer","NegativeInteger","NegativeNumber","NonNegativeNumber","NonNegativeInteger","NonPositiveNumber","NonPositiveInteger","PositiveInteger","PositiveNumber"],ExtendedRealNumber:["ExtendedRealNumber","RealNumber","TranscendentalNumber","AlgebraicNumber","RationalNumber","Integer","NegativeInteger","NegativeNumber","NonNegativeNumber","NonNegativeInteger","NonPositiveNumber","NonPositiveInteger","PositiveInteger","PositiveNumber"],ComplexNumber:["ComplexNumber","ImaginaryNumber"],ImaginaryNumber:["ImaginaryNumber"],RealNumber:["RealNumber","TranscendentalNumber","AlgebraicNumber","RationalNumber","Integer","NegativeInteger","NegativeNumber","NonNegativeNumber","NonNegativeInteger","NonPositiveNumber","NonPositiveInteger","PositiveInteger","PositiveNumber"],TranscendentalNumber:["TranscendentalNumber"],AlgebraicNumber:["AlgebraicNumber","RationalNumber","Integer","NegativeInteger","NonNegativeInteger","NonPositiveInteger","PositiveInteger"],RationalNumber:["RationalNumber","Integer","NegativeInteger","NonNegativeInteger","NonPositiveInteger","PositiveInteger"],Integer:["Integer","NegativeInteger","NonNegativeInteger","NonPositiveInteger","PositiveInteger"],NegativeNumber:["NegativeNumber","NegativeInteger"],NonNegativeNumber:["NonNegativeNumber","PositiveNumber","NonNegativeInteger","PositiveInteger"],NonPositiveNumber:["NonPositiveNumber","NegativeNumber","NegativeInteger"],PositiveNumber:["PositiveNumber","PositiveInteger"],NegativeInteger:["NegativeInteger"],PositiveInteger:["PositiveInteger"],NonNegativeInteger:["NonNegativeInteger","PositiveInteger"],NonPositiveInteger:["NegativeInteger"]}[t])||void 0===i?void 0:i.includes(e))&&void 0!==r?r:void 0)}function $y(e){return"string"==typeof e&&["Boolean","MaybeBoolean","True","False","Maybe"].includes(e)}function eb(e){if("string"==typeof e)return wv("domain:"+e);let t="";for(const i of e)t+=""+eb(i);return wv(t)}class tb{constructor(e){var t,i,r,n,a;this._cache={},this._commonSymbols={True:null,False:null,Maybe:null,All:null,Missing:null,Nothing:null,None:null,Undefined:null,Pi:null,ImaginaryUnit:null},this._commonNumbers={0:null,1:null,2:null,3:null,4:null,5:null,6:null,7:null,8:null,9:null,10:null},this._commonDomains={Anything:null,Nothing:null,Boolean:null,MaybeBoolean:null,String:null,Domain:null,Symbol:null,Integer:null,RationalNumber:null,AlgebraicNumber:null,RealNumber:null,ExtendedRealNumber:null,ImaginaryNumber:null,ComplexNumber:null,ExtendedComplexNumber:null,Number:null,PositiveInteger:null,TranscendentalNumber:null,PositiveNumber:null,Function:null,NumericFunction:null,RealFunction:null,TrigonometricFunction:null,HyperbolicFunction:null,LogicOperator:null,Predicate:null,RelationalOperator:null,Expression:null,BooleanExpression:null,NumericExpression:null},this._latexDictionary=null===e||void 0===e?void 0:e.latexDictionary,this._jsonSerializationOptions={exclude:[],shorthands:["function","symbol","string","dictionary","number"],metadata:[],repeatingDecimal:!0},this._stats={highwaterMark:0,symbols:new Set,expressions:new Set},this._defaultDomain=null,this._numericMode=null!==(t=null===e||void 0===e?void 0:e.numericMode)&&void 0!==t?t:"auto",this._precision=Math.max(null!==(i=null===e||void 0===e?void 0:e.numericPrecision)&&void 0!==i?i:100,Math.floor(Zg)),this._decimal=If.exports.Decimal.clone({precision:this._precision}),this.decimal=e=>new this._decimal(e),this.complex=(e,t)=>new Df.exports.Complex(e,t),this.tolerance=null!==(r=null===e||void 0===e?void 0:e.tolerance)&&void 0!==r?r:1e-10,this.ZERO=new Gv(this,0),this.ONE=new Gv(this,1),this.TWO=new Gv(this,2),this.HALF=new Gv(this,[1,2]),this.NEGATIVE_ONE=new Gv(this,-1),this.I=new Gv(this,Df.exports.Complex.I),this.NAN=new Gv(this,NaN),this.POSITIVE_INFINITY=new Gv(this,1/0),this.NEGATIVE_INFINITY=new Gv(this,-1/0),this.COMPLEX_INFINITY=new Gv(this,Df.exports.Complex.INFINITY),this.purge();const o=null!==(n=null===e||void 0===e?void 0:e.dictionaries)&&void 0!==n?n:tb.getDictionaries();this.pushScope({dictionary:o,scope:{warn:e=>{for(const t of e)t.message},timeLimit:2,memoryLimit:1,recursionLimit:1024}}),null===(null===e||void 0===e?void 0:e.assumptions)?this.pushScope():this.pushScope({assumptions:null===e||void 0===e?void 0:e.assumptions});for(const s of Object.keys(this._commonDomains))this._commonDomains[s]&&!this._commonDomains[s].symbolDefinition&&this._commonDomains[s]._repairDefinition();for(const s of Object.keys(this._commonSymbols))this._commonSymbols[s]&&!this._commonSymbols[s].symbolDefinition&&this._commonSymbols[s]._repairDefinition();this._defaultDomain=null===(null===e||void 0===e?void 0:e.defaultDomain)?null:this.domain(null!==(a=null===e||void 0===e?void 0:e.defaultDomain)&&void 0!==a?a:"ExtendedRealNumber")}static getDictionaries(e="all"){return Fy(e)}purge(){var e,t;this.DECIMAL_NEGATIVE_ONE=this.decimal(-1),this.DECIMAL_NAN=this.decimal(NaN),this.DECIMAL_ZERO=this.decimal(0),this.DECIMAL_ONE=this.decimal(1),this.DECIMAL_TWO=this.decimal(2),this.DECIMAL_HALF=this.DECIMAL_ONE.div(this.DECIMAL_TWO),this.DECIMAL_PI=this.DECIMAL_NEGATIVE_ONE.acos();const i=this._stats.symbols.values(),r=this._stats.expressions.values();this._stats.symbols=new Set,this._stats.expressions=new Set;for(const a of i)a._purge();for(const a of r)a._purge();for(const a of Object.values(this._commonDomains))null===a||void 0===a||a._purge();for(const a of Object.values(this._commonSymbols))null===a||void 0===a||a._purge();let n=this.context;for(;n;){if(null===(e=n.dictionary)||void 0===e?void 0:e.functions)for(const[e,t]of n.dictionary.functions)for(const i of t)i._purge();if(null===(t=n.dictionary)||void 0===t?void 0:t.symbols)for(const[e,t]of n.dictionary.symbols)t._purge();n=n.parentScope}for(const a of Object.keys(this._cache))this._cache[a].value&&(this._cache[a].purge?this._cache[a].value=this._cache[a].purge(this._cache[a].value):delete this._cache[a])}_register(e){this._stats.highwaterMark+=1}_unregister(e){}get stats(){const e=this._stats.expressions;return this._stats.expressions=null,this._stats.expressions=e,{...this._stats}}get precision(){return this._precision}set precision(e){const t=this._precision;"machine"===e&&(e=Math.floor(Zg)),e!==t&&(this._latexSyntax&&this.latexSyntax.updateOptions({precision:e,avoidExponentsInRange:[-6,e]}),this._precision=Math.max(e,Math.floor(Zg)),this._decimal=this._decimal.config({precision:this._precision}),this.purge())}get numericMode(){return this._numericMode}set numericMode(e){e!==this._numericMode&&(this._numericMode=e,"complex"!==e&&"machine"!==e||(this._precision=Math.floor(Zg)),this._latexSyntax&&this.latexSyntax.options.precision>this._precision&&this.latexSyntax.updateOptions({precision:this._precision}),this.purge())}get timeLimit(){let e=this.context;for(;e;){if(void 0!==e.timeLimit)return e.timeLimit;e=e.parentScope}return 2}get iterationLimit(){let e=this.context;for(;e;){if(void 0!==e.iterationLimit)return e.iterationLimit;e=e.parentScope}return 1024}get recursionLimit(){let e=this.context;for(;e;){if(void 0!==e.recursionLimit)return e.recursionLimit;e=e.parentScope}return 1024}get defaultDomain(){return this._defaultDomain}set defaultDomain(e){this._defaultDomain=null===e?null:this.domain(e)}get tolerance(){return this._tolerance}set tolerance(e){this._tolerance="number"==typeof e&&Number.isFinite(e)?Math.max(e,0):1e-10,this._decimalTolerance=this.decimal(this._tolerance)}chop(e){return"number"==typeof e&&Math.abs(e)<=this._tolerance||e instanceof If.exports.Decimal&&e.abs().lte(this._decimalTolerance)||e instanceof Df.exports.Complex&&Math.abs(e.re)<=this._tolerance&&Math.abs(e.im)<=this._tolerance?0:e}get latexSyntax(){return this._latexSyntax||(this._latexSyntax=new Wg({computeEngine:this,dictionary:this._latexDictionary,precision:this.precision,avoidExponentsInRange:[-6,this.precision],onError:e=>{throw Error(e[0].message.toString())}})),this._latexSyntax}static getLatexDictionary(e="all"){return Wg.getDictionary(e)}set costFunction(e){"function"!=typeof e&&(this._cost=Hy),this._cost=e}get costFunction(){var e;return null!==(e=this._cost)&&void 0!==e?e:Hy}getSymbolDefinition(e,t){var i,r,n;let a,o=this.context;if(t)for(;o&&!a;)a=null===(i=o.dictionary)||void 0===i?void 0:i.symbolWikidata.get(t),o=o.parentScope;for(;o&&!a;)t&&(a=null===(r=o.dictionary)||void 0===r?void 0:r.symbolWikidata.get(t)),a||(a=null===(n=o.dictionary)||void 0===n?void 0:n.symbols.get(e)),o=o.parentScope;return a}getFunctionDefinition(e,t){var i,r;if(!t){let t=this.context;for(;t;){const r=null===(i=t.dictionary)||void 0===i?void 0:i.functions.get(e);if(r)return r[0];t=t.parentScope}return}const n=this.domain(["Function",...null===t||void 0===t?void 0:t.map((e=>e.domain.json))]);let a=this.context;for(;a;){const i=null===(r=a.dictionary)||void 0===r?void 0:r.functions.get(e);if(i)for(const e of i)if(e.domain)if("function"==typeof e.domain){const i=this.domain(e.domain(this,t));if(i&&n.isSubdomainOf(i))return e}else if(n.isSubdomainOf(e.domain))return e;a=a.parentScope}}defineSymbol(e){const t=new Iy(this,e);return this.context.dictionary||(this.context.dictionary={symbols:new Map,functions:new Map,symbolWikidata:new Map,functionWikidata:new Map}),e.name&&this.context.dictionary.symbols.set(e.name,t),e.wikidata&&this.context.dictionary.symbolWikidata.set(e.wikidata,t),t}pushScope(e){var t;if(this.context={...null===e||void 0===e?void 0:e.scope,parentScope:this.context,assumptions:this.context?new Gy(this.context.assumptions):new Gy},Uy(this,null===e||void 0===e?void 0:e.dictionary),void 0!==(null===e||void 0===e?void 0:e.assumptions))for(const i of e.assumptions)this.assume(null!==(t=this.parse(fv(i)))&&void 0!==t?t:i)}popScope(){var e;const t=null===(e=this.context)||void 0===e?void 0:e.parentScope;if(this.context.warnings){const e=[...this.context.warnings];this.context.warnings=[],this.context.warn&&this.context.warn(e)}t&&this.context.warnings&&this.context.warnings.length>0&&(t.warnings?t.warnings=[...t.warnings,...this.context.warnings]:t.warnings=[...this.context.warnings]),this.context=t}get assumptions(){return this.context.assumptions||(this.context.assumptions=new Gy),this.context.assumptions}shouldContinueExecution(){return void 0===this.deadline||this.deadline>=Date.now()}checkContinueExecution(){if(!this.shouldContinueExecution())throw Error("timeout")}assert(e,t,i,r){e||this.signal(t,i,r)}signal(e,t,i){"object"==typeof e&&"message"in e?i=e.message:e.latex,void 0===i||"string"==typeof i||Array.isArray(i)&&i.map((e=>e.toString())).join(", ")}cache(e,t,i){var r;if(void 0===this._cache[e])try{this._cache[e]={build:t,purge:i,value:t()}}catch(e){}return 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i=this.at(e).branch(t);return[this.offsetOf(i[0]),this.offsetOf(i[i.length-1])]}getAtoms(e,t,i){var r,n;let a,o,s=null!==i&&void 0!==i?i:{};if(ab(e)){if(s=null!==(r=t)&&void 0!==r?r:{},e.ranges.length>1)return e.ranges.reduce(((e,t)=>[...e,...this.getAtoms(t,s)]),[]);e=e.ranges[0]}if(rb(e)){if(a=e,!rb(t))return[];o=t}else[a,o]=e,s=null!==(n=t)&&void 0!==n?n:{};if(!Number.isFinite(a))return[];void 0===s.includeChildren&&(s.includeChildren=!1),a<0&&(a=this.lastOffset-a+1),o<0&&(o=this.lastOffset-o+1);const l=Math.min(a,o)+1,u=Math.max(a,o);if(1===l&&u===this.lastOffset)return[this.root];let c=[];for(let h=l;h<=u;h++){const e=this.atoms[h];hb(this,e,l,u)&&c.push(e)}return s.includeChildren||(c=c.filter((e=>{let t=!1,{parent:i}=e;while(i&&!t)t=hb(this,i,l,u),i=i.parent;return!t}))),c}getAllAtoms(e){const t=[],i=this.lastOffset;for(let r=e;r<=i;r++)t.push(this.atoms[r]);for(let r=0;r<e;r++)t.push(this.atoms[r]);return t}extractAtoms(e){let t=this.getAtoms(e);1===t.length&&"root"===t[0].type&&(t=t[0].children);for(const i of t)i.parent.removeChild(i);return t}deleteAtoms(e){this.extractAtoms(e),this.position=e[0]}atomToString(e,t){const i=null!==t&&void 0!==t?t:"latex";if(i.startsWith("latex"))return nu.serialize([e],{expandMacro:"latex-expanded"===i,skipStyles:"latex-unstyled"===i,defaultMode:this.mathfield.options.defaultMode});if("math-ml"===i)return cp(e,this.mathfield.options);if("spoken"===i)return yp(e,this.mathfield.options);if("spoken-text"===i){const t=this.mathfield.options.textToSpeechMarkup;this.mathfield.options.textToSpeechMarkup="";const i=yp(e,this.mathfield.options);return this.mathfield.options.textToSpeechMarkup=t,i}if("spoken-ssml"===i||"spoken-ssml-with-highlighting"===i){const t=this.mathfield.options.textToSpeechMarkup;this.mathfield.options.textToSpeechMarkup="ssml";const i=yp(e,this.mathfield.options);return this.mathfield.options.textToSpeechMarkup=t,i}if("math-json"===i)try{const t=this.mathfield.computeEngine.parse(ac.serialize(e,{expandMacro:!1,defaultMode:"math"}));return JSON.stringify(t.json)}catch(r){return JSON.stringify(["Error","Nothing",`'${r.toString()}'`])}return"ascii-math"===i?ld(e):(console.warn("Unknown format :",i),"")}getValue(e,t,i){if(void 0===e)return this.atomToString(this.root,"latex");if("string"===typeof e)return this.atomToString(this.root,e);let r,n;if(rb(e)&&rb(t)?(r=[this.normalizeRange([e,t])],n=null!==i&&void 0!==i?i:"latex"):nb(e)?(r=[this.normalizeRange(e)],n=t):ab(e)?(r=e.ranges,n=t):(r=[],n="latex"),n.startsWith("latex")){const e={expandMacro:"latex-expanded"===n,skipStyles:"latex-unstyled"===n,defaultMode:this.mathfield.options.defaultMode};return $u(r.map((t=>ac.serialize(this.getAtoms(t),e))))}return r.map((e=>this.getAtoms(e).map((e=>this.atomToString(e,n))).join(""))).join("")}extendSelection(e){let t=this._anchor;if("forward"===e){let e=this._position;do{let t=this.at(e+1);if(null===t||void 0===t?void 0:t.inCaptureSelection){while(!t.captureSelection)t=t.parent;e=this.offsetOf(null===t||void 0===t?void 0:t.lastChild)+1}else e+=1}while(e<=this.lastOffset&&this.at(e).isFirstSibling);return e===t-1&&"first"===this.at(t).type&&(e=t),this.extendSelectionTo(t,e)}let i=this._position-1;if(i<0)return!1;while(i>=0&&this.at(i).isLastSibling){let e=this.at(i);if(null===e||void 0===e?void 0:e.inCaptureSelection){while(!e.captureSelection)e=e.parent;i=this.offsetOf(e.firstChild)-1}else i-=1}return i<0&&(i=0),i===t+1&&"first"===this.at(i).type&&(t=i),this.extendSelectionTo(t,i)}extendSelectionTo(e,t){return this.deferNotifications({selection:!0},(()=>{const i=this.normalizeRange([e,t]);let[r,n]=i,{parent:a}=this.at(n);if(a&&("genfrac"===a.type||"msubsup"===a.type))while(a!==this.root&&db(this,a,[r,n]))n=this.offsetOf(a),a=a.parent;a=this.at(r).parent;while(a!==this.root&&db(this,a,[r,n]))r=this.offsetOf(a.leftSibling),a=a.parent;if(a=this.at(n).parent,"genfrac"===(null===a||void 0===a?void 0:a.type))while(a!==this.root&&db(this,a,[r,n]))n=this.offsetOf(a),console.assert(n>=0),a=a.parent;this._position=this.normalizeOffset(t),this._selection={ranges:[[r,n]],direction:"none"}}))}setListeners(e){this.listeners=e}announce(e,t,i=[]){var r,n;const a=null===(n=null===(r=this.mathfield.host)||void 0===r?void 0:r.dispatchEvent(new CustomEvent("announce",{detail:{command:e,previousPosition:t,atoms:i},cancelable:!0,bubbles:!0,composed:!0})))||void 0===n||n;a||sb(this.mathfield,e,t,i)}deferNotifications(e,t){const i=this._selection,r=this._anchor,n=this._position,a=this.suppressChangeNotifications;this.suppressChangeNotifications=!0;const o=this.root.changeCounter;t();const s=this.root.changeCounter!==o,l=r!==this._anchor||n!==this._position||"different"===om(this._selection,i);return this.suppressChangeNotifications=a,e.content&&s&&hm(this,{data:e.data,inputType:e.type}),e.selection&&l&&um(this),s||l}normalizeOffset(e){return e>0?e=Math.min(e,this.lastOffset):e<0&&(e=this.lastOffset+e+1),e}normalizeRange(e){let[t,i]=e;return t=this.normalizeOffset(t),i=this.normalizeOffset(i),t<i?[t,i]:[i,t]}normalizeSelection(e,t){var i;let r;if(rb(e)){const i=this.normalizeOffset(e);if(rb(t)){const e=this.normalizeOffset(t);r=i<=e?{ranges:[[i,e]],direction:"none"}:{ranges:[[e,i]],direction:"backward"}}else r={ranges:[[i,i]],direction:"none"}}else if(nb(e)){const t=this.normalizeOffset(e[0]),i=this.normalizeOffset(e[1]);r=t<=i?{ranges:[[t,i]],direction:"none"}:{ranges:[[i,t]],direction:"backward"}}else ab(e)&&(r={ranges:e.ranges.map((e=>this.normalizeRange(e))),direction:null!==(i=e.direction)&&void 0!==i?i:"none"});return console.assert(void 0!==r),r}}function hb(e,t,i,r){const n=e.offsetOf(t);if(n<i||n>r)return!1;if(!t.hasChildren)return!0;const a=e.offsetOf(t.firstChild);if(a>=i&&a<=r){const n=e.offsetOf(t.lastChild);if(n>=i&&n<=r)return!0}return!1}function db(e,t,i){if(!(null===t||void 0===t?void 0:t.hasChildren))return!1;const[r,n]=i,a=e.offsetOf(t.firstChild),o=e.offsetOf(t.lastChild);return a>=r&&a<=n&&o>=a&&o<=n}function pb(e){return!!cm(e,{inputType:"insertText"})&&(hm(e,{inputType:"insertText"}),!0)}function mb(e){return!!cm(e,{inputType:"insertText"})&&(hm(e,{inputType:"insertText"}),!0)}function fb(e){return!!cm(e,{inputType:"insertText"})&&(hm(e,{inputType:"insertText"}),!0)}function gb(e){return!!cm(e,{inputType:"insertText"})&&(hm(e,{inputType:"insertText"}),!0)}function vb(e,t,i,r){var n,a,o,s,l,u;const c=i.parent;if(i instanceof Ec){const n=!r&&"forward"===t||"body"===r&&"backward"===t;let a=n?e.offsetOf(i.firstChild):e.offsetOf(i.lastChild);return n?"?"!==i.rightDelim&&"."!==i.rightDelim?(i.leftDelim=".",i.isDirty=!0):(c.addChildrenAfter(i.removeBranch("body"),i),c.removeChild(i),a--):"?"!==i.leftDelim&&"."!==i.leftDelim?(i.rightDelim=".",i.isDirty=!0):(c.addChildrenAfter(i.removeBranch("body"),i),c.removeChild(i),a--),e.position=a,!0}if("surd"===i.type){if("forward"===t&&!r||"backward"===t&&"body"===r){const t=i.leftSibling;i.hasChildren&&c.addChildrenAfter(i.removeBranch("body"),i),c.removeChild(i),e.position=e.offsetOf(t)}else"forward"===t&&"body"===r?e.position=e.offsetOf(i):r||"backward"!==t?"above"===r&&(i.hasEmptyBranch("above")&&i.removeBranch("above"),e.position="backward"===t?e.offsetOf(i.leftSibling):e.offsetOf(i.body[0])):i.hasChildren?e.position=e.offsetOf(i.lastChild):(e.position=Math.max(0,e.offsetOf(i)-1),c.removeChild(i));return!0}if("box"===i.type||"enclose"===i.type){const n=r&&"backward"===t||!r&&"forward"===t?i.leftSibling:i.lastChild;return c.addChildrenAfter(i.removeBranch("body"),i),c.removeChild(i),e.position=e.offsetOf(n),!0}if("genfrac"===i.type||"overunder"===i.type){if(!r)return("overunder"!==i.type||!i.hasEmptyBranch("body"))&&(("genfrac"!==i.type||!i.hasEmptyBranch("below")||!i.hasEmptyBranch("above"))&&(e.position=e.offsetOf("forward"===t?i.firstChild:i.lastChild),!0));const n="numerator-denominator"===i.context.fractionNavigationOrder?"above":"below",a="above"===n?"below":"above";if("forward"===t&&r===n||"backward"===t&&r===a){const t=i.removeBranch(n),r=i.removeBranch(a);return c.addChildrenAfter([...t,...r],i),c.removeChild(i),e.position=e.offsetOf(t.length>0?t[t.length-1]:r[0]),!0}return"backward"===t?(e.position=e.offsetOf(i.leftSibling),!0):(e.position=e.offsetOf(i),!0)}if(i.isExtensibleSymbol||"msubsup"===i.type){if(!r&&"forward"===t)return!1;if(!r){if(i.subscript||i.superscript){const r="forward"===t?null!==(a=null===(n=i.superscript)||void 0===n?void 0:n[0])&&void 0!==a?a:null===(o=i.subscript)||void 0===o?void 0:o[0]:null!==(l=null===(s=i.subscript)||void 0===s?void 0:s[0].lastSibling)&&void 0!==l?l:null===(u=i.superscript)||void 0===u?void 0:u[0].lastSibling;return r&&(e.position=e.offsetOf(r)),!0}return!1}if(r&&i.hasEmptyBranch(r)&&i.removeBranch(r),!i.hasChildren){const r="forward"===t?e.offsetOf(i):Math.max(0,e.offsetOf(i)-1);return i.parent.removeChild(i),e.position=r,!0}if("superscript"===r)if("backward"===t){const t=e.offsetOf(i.firstChild)-1;console.assert(t>=0),e.position=t}else i.subscript?e.position=e.offsetOf(i.subscript[0]):e.position=e.offsetOf(i);else"subscript"===r&&("backward"===t&&i.superscript?e.position=e.offsetOf(i.superscript[0].lastSibling):e.position="backward"===t?e.offsetOf(i.firstChild)-1:e.offsetOf(i));return!0}return!1}function yb(e){return!!cm(e,{inputType:"deleteContentBackward"})&&(e.selectionIsCollapsed?e.deferNotifications({content:!0,selection:!0,type:"deleteContentBackward"},(()=>{let t=e.at(e.position);if(!t||!vb(e,"backward",t)){if(null===t||void 0===t?void 0:t.isFirstSibling){if(vb(e,"backward",t.parent,t.treeBranch))return;t=null}t?(e.position=e.offsetOf(t.leftSibling),t.parent.removeChild(t),e.announce("delete",void 0,[t])):e.announce("plonk")}})):wb(e,lm(e.selection),"deleteContentBackward"))}function bb(e){return!!cm(e,{inputType:"deleteContentForward"})&&(e.selectionIsCollapsed?e.deferNotifications({content:!0,selection:!0,type:"deleteContentForward"},(()=>{var t,i;let r=e.at(e.position).rightSibling;if(r&&vb(e,"forward",r))return;if(r){if(e.at(e.position).isLastSibling&&vb(e,"forward",r.parent,r.treeBranch))return}else{if(r=e.at(e.position),r.isLastSibling&&vb(e,"forward",r.parent,r.treeBranch))return;r=null}if(e.position===e.lastOffset||!r)return void e.announce("plonk");r.parent.removeChild(r);let n=null===(t=e.at(e.position))||void 0===t?void 0:t.rightSibling;while("msubsup"===(null===n||void 0===n?void 0:n.type))n.parent.removeChild(n),n=null===(i=e.at(e.position))||void 0===i?void 0:i.rightSibling;e.announce("delete",void 0,[r])})):wb(e,lm(e.selection),"deleteContentForward"))}function wb(e,t,i){const r=e.getAtoms(t);if(r.length>0&&r[0].parent){let i=r[0].parent.firstChild;"first"===i.type&&(i=i.rightSibling);const n=r[r.length-1].parent.lastChild;let a=r[0];"first"===a.type&&(a=a.rightSibling);const o=r[r.length-1];if(a===i&&o===n){const i=r[0].parent;"root"!==i.type&&(t=[e.offsetOf(i.leftSibling),e.offsetOf(i.rightSibling)])}}return e.deferNotifications({content:!0,selection:!0,type:i},(()=>e.deleteAtoms(t)))}function xb(e,t){const i=e.at(e.position);if("composition"===i.type)i.value=t;else{const{caret:r}=i;i.caret="";const n=new Xc(t,e.mathfield,{mode:i.mode});n.caret=r,i.parent.addChildAfter(n,i),e.position+=1}}function Ab(e){const t=e.at(e.position);"composition"===t.type&&(t.parent.removeChild(t),e.position-=1)}function kb(e,t){const i=e.at(t);let r;if(i){r=i.mode;let e=i.parent;while(!r&&e)e&&(r=e.mode),e=e.parent}return r}function Sb(e,t){e&&t&&(vs(e)?e.forEach((e=>Sb(e,t))):"object"===typeof e&&(e.style.color||e.style.backgroundColor||e.style.fontFamily||e.style.fontShape||e.style.fontSeries||e.style.fontSize||e.style.variant||e.style.variantStyle||(e.applyStyle(t),Sb(e.body,t),Sb(e.above,t),Sb(e.below,t),Sb(e.subscript,t),Sb(e.superscript,t))))}function Mb(e,t,i,r){function n(e,t){for(const i of a)if(i.style[e]!==t)return!1;return!0}if(t=e.normalizeRange(t),t[0]===t[1])return!1;const a=e.getAtoms(t,{includeChildren:!0});"toggle"===r.operation&&(i.color&&n("color",i.color)&&(i.color="none",i.verbatimColor=void 0),i.backgroundColor&&n("backgroundColor",i.backgroundColor)&&(i.backgroundColor="none",i.verbatimBackgroundColor=void 0),i.fontFamily&&n("fontFamily",i.fontFamily)&&(i.fontFamily="none"),i.fontSeries&&n("fontSeries",i.fontSeries)&&(i.fontSeries="auto"),i.fontShape&&n("fontShape",i.fontShape)&&(i.fontShape="auto"),i.fontSize&&n("fontSize",i.fontSize)&&(i.fontSize=ql));for(const o of a)o.applyStyle(i);return!0}function Nb(e,t,i){if("text"!==e.at(t).mode)return t;const r="backward"===i?-1:1;let n;if(qs.test(e.at(t).value)){let i,a=t;do{i="text"===e.at(a).mode&&qs.test(e.at(a).value),a+=r}while(e.at(a)&&i);n=e.at(a)?a-2*r:a-r}else if(/\s/.test(e.at(t).value)){let i=t;while(e.at(i)&&"text"===e.at(i).mode&&/\s/.test(e.at(i).value))i+=r;if(e.at(i)){let t=!0;do{t="text"===e.at(i).mode&&!/\s/.test(e.at(i).value),i+=r}while(e.at(i)&&t);n=e.at(i)?i-2*r:i-r}else n=i-r}else{let i=t;while(e.at(i)&&"text"===e.at(i).mode&&!/\s/.test(e.at(i).value))i+=r;n=e.at(i)?i:i-r;let a=!0;while(e.at(i)&&a)a="text"===e.at(i).mode&&/\s/.test(e.at(i).value),a&&(n=i),i+=r;n=e.at(i)?i-2*r:i-r}return n-(r>0?0:1)}function zb(e,t,i){var r,n,a,o,s,l,u;const c=e.position;null!==(r=null===i||void 0===i?void 0:i.extend)&&void 0!==r&&r||e.collapseSelection(t);let h=e.at(e.position);if("forward"===t&&("msubsup"===h.type?(h=h.rightSibling,h||(h=e.at(e.position+1))):h=e.at(e.position+1)),!h)return e.announce("plonk"),!1;let d=e.offsetOf(h);if(h instanceof qc)d=Nb(e,d,t);else if(h instanceof sh)if(h.isSuggestion){console.assert("forward"===t);while(h&&h instanceof sh)h.isSuggestion=!1,d=e.offsetOf(h),h=h.rightSibling}else if("forward"===t){if(h=h.rightSibling,!h||!(h instanceof sh))return e.announce("plonk"),!1;while(h&&h instanceof sh&&/[a-zA-Z\*]/.test(h.value))d=e.offsetOf(h),h=h.rightSibling}else{if(h=h.leftSibling,!h||!(h instanceof sh))return e.announce("plonk"),!1;while(h&&h instanceof sh&&/[a-zA-Z\*]/.test(h.value))d=e.offsetOf(h),h=h.leftSibling}else if("forward"===t&&"mopen"===h.type){let t=0;do{"mopen"===h.type?t+=1:"mclose"===h.type&&(t-=1),h=h.rightSibling}while(!h.isLastSibling&&0!==t);d=e.offsetOf(h.leftSibling)}else if("backward"===t&&"mclose"===h.type){let t=0;do{"mopen"===h.type?t+=1:"mclose"===h.type&&(t-=1),h=h.leftSibling}while(!h.isFirstSibling&&0!==t);d=e.offsetOf(h)}else if("backward"===t)if("first"===h.type)while(d>0&&"first"===h.type)d-=1,h=e.at(d);else{const t=h.type;"msubsup"===h.type&&(d=e.offsetOf(e.at(d).leftSibling)),d-=1;let i=null===(n=e.at(d))||void 0===n?void 0:n.type;while(d>=0&&i===t)"msubsup"===(null===(a=e.at(d))||void 0===a?void 0:a.type)?d=e.offsetOf(e.at(d).leftSibling):d-=1,i=e.at(d).type}else{const{type:t}=h;let i=null===(o=e.at(d))||void 0===o?void 0:o.type;const{lastOffset:r}=e;while(d<=r&&(i===t||"msubsup"===i)){while("msubsup"===(null===(s=e.at(d).rightSibling)||void 0===s?void 0:s.type))d=e.offsetOf(e.at(d).rightSibling);d+=1,i=null===(l=e.at(d))||void 0===l?void 0:l.type}d-=1}if(null!==(u=null===i||void 0===i?void 0:i.extend)&&void 0!==u&&u){if(!e.setSelection(e.anchor,d))return e.announce("plonk"),!1}else{if(d===e.position)return e.announce("plonk"),!1;e.position=d}return e.announce("move",c),!0}function Lb(e,t,i){var r,n,a,o;if(i=null!==i&&void 0!==i?i:{extend:!1},"forward"!==t){const[t,i]=wm(e);void 0!==t&&void 0!==i&&e.deleteAtoms([t,i])}if("upward"===t)return Eb(e,i);if("downward"===t)return _b(e,i);const s=e.position;if(i.extend)return e.extendSelection(t);if(e.selectionIsPlaceholder)return e.collapseSelection(t),Lb(e,t);if(!e.collapseSelection(t)){let s=e.position+("forward"===t?1:-1),l=e.at(s);if(s>=0&&s<=e.lastOffset)if("forward"===t)if(l.inCaptureSelection){while(!l.captureSelection)l=l.parent;s=e.offsetOf(l)}else if(!l.isFirstSibling&&l.isLastSibling&&(null===(r=l.parent)||void 0===r?void 0:r.skipBoundary)){if(s+1!==e.lastOffset)return e.position=s,Lb(e,"forward",i);s+=1}else l instanceof sh&&l.isSuggestion&&(l.isSuggestion=!1);else if("backward"===t)if(null===(n=l.parent)||void 0===n?void 0:n.inCaptureSelection){while(!l.captureSelection)l=l.parent;s=Math.max(0,e.offsetOf(l.leftSibling))}else l.skipBoundary&&(s=Math.max(0,e.position-2));if(s<0||s>e.lastOffset){let i=!0;return e.suppressChangeNotifications||(i=null===(o=null===(a=e.mathfield.host)||void 0===a?void 0:a.dispatchEvent(new CustomEvent("move-out",{detail:{direction:t},cancelable:!0,bubbles:!0,composed:!0})))||void 0===o||o),i&&e.announce("plonk"),i}Cb(e,s)}return e.announce("move",s),!0}function Cb(e,t){var i,r,n;"placeholder"===(null===(i=e.at(t))||void 0===i?void 0:i.type)?e.setSelection(t-1,t):"placeholder"===(null===(n=null===(r=e.at(t))||void 0===r?void 0:r.rightSibling)||void 0===n?void 0:n.type)?e.setSelection(t,t+1):e.position=t}function Eb(e,t){var i,r,n,a;const o=null!==(i=null===t||void 0===t?void 0:t.extend)&&void 0!==i&&i;o||e.collapseSelection("backward");let s=e.at(e.position);while(s&&"below"!==s.treeBranch&&!(Array.isArray(s.treeBranch)&&s.parent instanceof Qc))s=s.parent;if(Array.isArray(null===s||void 0===s?void 0:s.treeBranch)&&s.parent instanceof Qc){const t=s.parent,i=t.array[s.treeBranch[0]][s.treeBranch[1]].indexOf(s),r=Math.max(0,s.treeBranch[0]-1),n=t.array[r][s.treeBranch[1]],a=Math.min(n.length-1,i),l=e.offsetOf(n[a]);if(o){const[t,i]=e.selection.ranges[0];let r;r=l<t?{ranges:[[l,i]],direction:"backward"}:{ranges:[[t,l]],direction:"forward"},e.setSelection(r)}else Cb(e,l);e.announce("move up")}else{if(!s){let t=!0;return e.suppressChangeNotifications||(t=null===(a=null===(n=e.mathfield.host)||void 0===n?void 0:n.dispatchEvent(new CustomEvent("move-out",{detail:{direction:"upward"},cancelable:!0,bubbles:!0,composed:!0})))||void 0===a||a),e.announce(t?"plonk":"line"),t}if(o)e.setSelection(e.offsetOf(s.parent.leftSibling),e.offsetOf(s.parent));else{const t=null!==(r=s.parent.branch("above"))&&void 0!==r?r:s.parent.createBranch("above");Cb(e,e.offsetOf(t[t.length-1]))}e.announce("move up")}return!0}function _b(e,t){var i,r,n,a;const o=null!==(i=null===t||void 0===t?void 0:t.extend)&&void 0!==i&&i;o||e.collapseSelection("forward");let s=e.at(e.position);while(s&&"above"!==s.treeBranch&&!(Array.isArray(s.treeBranch)&&s.parent instanceof Qc))s=s.parent;if(Array.isArray(null===s||void 0===s?void 0:s.treeBranch)&&s.parent instanceof Qc){const t=s.parent,i=t.array[s.treeBranch[0]][s.treeBranch[1]].indexOf(s),r=Math.min(t.array.length-1,s.treeBranch[0]+1),n=t.array[r][s.treeBranch[1]],a=Math.min(n.length-1,i),l=e.offsetOf(n[a]);if(o){const[t,i]=e.selection.ranges[0];let r;r=l<i?{ranges:[[l,i]],direction:"backward"}:{ranges:[[t,l]],direction:"forward"},e.setSelection(r)}else Cb(e,l);e.announce("move down")}else{if(!s){let t=!0;return e.suppressChangeNotifications||(t=null===(a=null===(n=e.mathfield.host)||void 0===n?void 0:n.dispatchEvent(new CustomEvent("move-out",{detail:{direction:"downward"},cancelable:!0,bubbles:!0,composed:!0})))||void 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i=e.at(e.position);return void 0===i.subsupPlacement&&("msubsup"!==(null===(t=i.rightSibling)||void 0===t?void 0:t.type)&&i.parent.addChildAfter(new _c(e.mathfield,{style:i.computedStyle}),i),i=i.rightSibling),i.createBranch("superscript"),e.setSelection(e.getSiblingsRange(e.offsetOf(i.superscript[0]))),!0}function Db(e){var t;if(e.collapseSelection(),Ib(e)>=e.mathfield.options.scriptDepth[0])return e.announce("plonk"),!1;let i=e.at(e.position);return void 0===i.subsupPlacement&&("msubsup"!==(null===(t=e.at(e.position+1))||void 0===t?void 0:t.type)&&i.parent.addChildAfter(new _c(e.mathfield,{style:e.at(e.position).computedStyle}),i),i=e.at(e.position+1)),i.createBranch("subscript"),e.setSelection(e.getSiblingsRange(e.offsetOf(i.subscript[0]))),!0}function Ob(){function e(e){const i=[],n=[],a=[...e.querySelectorAll('input, select, textarea, a[href], button,\n        [tabindex], audio[controls], video[controls],\n        [contenteditable]:not([contenteditable="false"]), 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s(e){if(!ys()||e===document.activeElement||e.contains(document.activeElement))return!1;if("hidden"===getComputedStyle(e).visibility)return!0;const t=e.getBoundingClientRect();if(0===t.width||0===t.height)return!0;while(e){if("none"===getComputedStyle(e).display)return!0;e=e.parentElement}return!1}return ys()?e(document.body):[]}function Rb(e,t,i=!0){var r,n;const a="forward"===t?1:-1;"placeholder"===e.at(e.anchor).type&&Lb(e,t);const o=e.getAllAtoms(Math.max(e.position+a,0));"backward"===t&&o.reverse();const s=o.filter((e=>"placeholder"===e.type||e.treeDepth>2&&e.isFirstSibling&&e.isLastSibling));if(0===s.length){const o=!i||!(null===(n=null===(r=e.mathfield.host)||void 0===r?void 0:r.dispatchEvent(new CustomEvent("focus-out",{detail:{direction:t},cancelable:!0,bubbles:!0,composed:!0})))||void 0===n||n);if(o)return e.announce("plonk"),!1;const s=Ob();if(!document.activeElement||1===s.length)return e.announce("plonk"),!1;let u=s.indexOf(document.activeElement)+a;return!!(document.activeElement instanceof Ow&&l(document.activeElement,t,a))||(u<0&&(u=s.length-1),u>=s.length&&(u=0),!!(s[u]instanceof Ow&&l(s[u],t,a))||(s[u].focus(),0!==u||(e.announce("plonk"),!1)))}function l(e,t,i){var r,n,a;const o=[...null!==(n=null===(r=e.shadowRoot)||void 0===r?void 0:r.querySelectorAll("math-field"))&&void 0!==n?n:[]];if(o.length){const r=null===(a=e.shadowRoot)||void 0===a?void 0:a.activeElement,n=o.indexOf(r);let s=n+i;if(n<0&&"backward"===t&&(s=o.length-1),s>=0&&s<o.length)return o[s].focus(),!0}return!1}const u=e.position,c=e.offsetOf(s[0]);return"placeholder"===s[0].type?e.setSelection(c-1,c):e.position=c,e.announce("move",u),!0}function Fb(e){var t,i,r,n,a,o;if("text"===kb(e,e.position)){let t=Math.min(e.anchor,e.position),i=Math.max(e.anchor,e.position),r=!1;while(!r&&t>0){const i=e.at(t);"text"===i.mode&&qs.test(i.value)?t-=1:r=!0}r=!1;while(!r&&i<=e.lastOffset){const 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t={superscript:"subscript",subscript:"superscript",above:"below",below:"above"},i=e.at(e.position),{parent:r}=i;if(!r)return e.announce("plonk"),!1;const n=i.treeBranch;let a;return"string"===typeof n&&(a=t[n]),a?(r.branch(a)||r.createBranch(a),e.setSelection(e.getBranchRange(e.offsetOf(r),a))):i.subsupPlacement?Db(e):qb(e)},moveBeforeParent:e=>{const{parent:t}=e.at(e.position);return t?(e.position=e.offsetOf(t),!0):(e.announce("plonk"),!1)},moveAfterParent:e=>Tb(e),moveToNextPlaceholder:e=>Rb(e,"forward"),moveToPreviousPlaceholder:e=>Rb(e,"backward"),moveToNextChar:e=>Lb(e,"forward"),moveToPreviousChar:e=>Lb(e,"backward"),moveUp:e=>Lb(e,"upward"),moveDown:e=>Lb(e,"downward"),moveToNextWord:e=>zb(e,"forward"),moveToPreviousWord:e=>zb(e,"backward"),moveToGroupStart:e=>{const t=e.offsetOf(e.at(e.position).firstSibling);return t===e.position?(e.announce("plonk"),!1):(e.position=t,!0)},moveToGroupEnd:e=>{const t=e.offsetOf(e.at(e.position).lastSibling);return t===e.position?(e.announce("plonk"),!1):(e.position=t,!0)},moveToMathFieldStart:e=>0===e.position?(e.announce("plonk"),!1):(e.position=0,!0),moveToMathFieldEnd:e=>e.position===e.lastOffset?(e.announce("plonk"),!1):(e.position=e.lastOffset,!0),moveToSuperscript:e=>qb(e),moveToSubscript:e=>Db(e)},{target:"model",category:"selection-anchor"}),zm({selectGroup:e=>{const t=Fb(e);return t||e.announce("plonk"),t},selectAll:e=>e.setSelection(0,e.lastOffset),extendSelectionForward:e=>{const t=e.extendSelection("forward");return t||e.announce("plonk"),t},extendSelectionBackward:e=>{const t=e.extendSelection("backward");return t||e.announce("plonk"),t},extendToNextWord:e=>zb(e,"forward",{extend:!0}),extendToPreviousWord:e=>zb(e,"backward",{extend:!0}),extendSelectionUpward:e=>Lb(e,"upward",{extend:!0}),extendSelectionDownward:e=>Lb(e,"downward",{extend:!0}),extendToNextBoundary:e=>zb(e,"forward",{extend:!0}),extendToPreviousBoundary:e=>zb(e,"backward",{extend:!0}),extendToGroupStart:e=>{const t=e.setSelection(e.anchor,e.offsetOf(e.at(e.position).firstSibling));return t||e.announce("plonk"),t},extendToGroupEnd:e=>{const t=e.setSelection(e.anchor,e.offsetOf(e.at(e.position).lastSibling));return t||e.announce("plonk"),t},extendToMathFieldStart:e=>{const t=e.setSelection(e.anchor,0);return t||e.announce("plonk"),t},extendToMathFieldEnd:e=>{const t=e.setSelection(e.anchor,e.lastOffset);return t||e.announce("plonk"),t}},{target:"model",category:"selection-extend"});const Pb=new Set(["Backquote","Digit0","Digit1","Digit2","Digit3","Digit4","Digit5","Digit6","Digit7","Digit8","Digit9","Minus","Equal","IntlYen","KeyQ","KeyW","KeyE","KeyR","KeyT","KeyY","KeyU","KeyI","KeyO","KeyP","BracketLeft","BracketRight","Backslash","KeyA","KeyS","KeyD","KeyF","KeyG","KeyH","KeyJ","KeyK","KeyL","Semicolon","Quote","IntlBackslash","KeyZ","KeyX","KeyC","KeyV","KeyB","KeyN","KeyM","Comma","Period","Slash","IntlRo","Space","Numpad0","Numpad1","Numpad2","Numpad3","Numpad4","Numpad5","Numpad6","Numpad7","Numpad8","Numpad9","NumpadAdd","NumpadComma","NumpadDecimal","NumpadDivide","NumpadEqual","NumpadHash","NumpadMultiply","NumpadParenLeft","NumpadParenRight","NumpadStar","NumpadSubstract"]);function Vb(e){return!e.ctrlKey&&!e.metaKey&&("Dead"!==e.key&&(""===e.code||Pb.has(e.code)))}function Ub(e){e=Zh(e);const t=[];return e.ctrlKey&&t.push("ctrl"),e.metaKey&&t.push("meta"),e.altKey&&t.push("alt"),e.shiftKey&&t.push("shift"),0===t.length?"["+e.code+"]":(t.push("["+e.code+"]"),t.join("+"))}function Kb(e,t,i){let r,n=null,a=null,o=!1,s=!1,l=!1;function u(e){clearTimeout(r),r=setTimeout((()=>{clearTimeout(r),e()}))}function c(){if(e.selectionStart!==e.selectionEnd)return;const t=e.value;e.value="",t.length>0&&i.typedText(t)}const h=e;return h.addEventListener("keydown",(t=>{o||"Process"===t.key||"CapsLock"===t.code||/(Control|Meta|Alt|Shift)(Left|Right)/.test(t.code)?n=null:(n=t,a=null,i.keystroke(Ub(t),t)?"textarea"!==e.tagName.toLowerCase()&&(i.typedText(t.key),t.preventDefault()):(n=null,e.value=""))}),!0),h.addEventListener("keypress",(e=>{o||(n&&a&&i.keystroke(Ub(n),n),a=e,u(c))}),!0),h.addEventListener("keyup",(()=>{o||n&&!a&&c()}),!0),h.addEventListener("paste",(t=>{e.focus(),e.value="",i.paste(t)||t.preventDefault(),t.stopImmediatePropagation()}),!0),h.addEventListener("cut",(e=>i.cut(e)),!0),h.addEventListener("copy",(e=>i.copy(e)),!0),h.addEventListener("blur",(r=>{var o,u,c;if((null===(u=null===(o=r["relatedTarget"])||void 0===o?void 0:o["_mathfield"])||void 0===u?void 0:u["element"])===t)return e.focus(),r.preventDefault(),void r.stopPropagation();const h=null===(c=Bm.scrim)||void 0===c?void 0:c.state;return"open"===h||"opening"===h||r.relatedTarget===r.target.getRootNode().host?(r.preventDefault(),void r.stopPropagation()):void(l||s||(l=!0,n=null,a=null,i.blur&&i.blur(),l=!1,r.stopPropagation()))}),!0),h.addEventListener("focus",(t=>{l||s||(s=!0,i.focus&&i.focus(),Hb()===e&&"function"===typeof e.select&&e.select(),s=!1,t.stopPropagation())}),!0),h.addEventListener("compositionstart",(t=>{o=!0,e.value="",i.compositionStart&&i.compositionStart(t.data)}),!0),h.addEventListener("compositionupdate",(e=>{o&&i.compositionUpdate&&i.compositionUpdate(e.data)}),!0),h.addEventListener("compositionend",(t=>{e.value="",o&&(o=!1,i.compositionEnd&&i.compositionEnd(t.data))}),!0),h.addEventListener("beforeinput",(e=>{e.stopImmediatePropagation()})),h.addEventListener("input",(e=>{if(!o&&"insertCompositionText"!==e.inputType){if("insertFromPaste"===e.inputType)return e.preventDefault(),void e.stopPropagation();u(c),e.preventDefault(),e.stopPropagation()}})),{cancelComposition:()=>{const t=i.blur,r=i.focus;i.blur=null,i.focus=null,e.blur(),e.focus(),i.blur=t,i.focus=r},blur:()=>{"function"===typeof e.blur&&e.blur()},focus:()=>{"function"===typeof e.focus&&e.focus()},hasFocus:()=>Hb()===e,setValue:t=>{t?(e.value=t,Hb()===e&&"function"===typeof e.select&&e.select()):(e.value="",e.setAttribute("aria-label",""))},setAriaLabel:t=>{e.setAttribute("aria-label","after: "+t)},moveTo:(t,i)=>{e.style.top=`${i}px`,e.style.left=`${t}px`}}}function Hb(){var e;if(!ys())return null;let t=document.activeElement;while(null===(e=null===t||void 0===t?void 0:t.shadowRoot)||void 0===e?void 0:e.activeElement)t=t.shadowRoot.activeElement;return t}function Gb(e){var t;if(!e)return"";let i;return"Unidentified"===e.key&&e.target&&(i=e.target.value),i=null!==(t=null!==i&&void 0!==i?i:e.key)&&void 0!==t?t:e.code,/^(Dead|Return|Enter|Tab|Escape|Delete|PageUp|PageDown|Home|End|Help|ArrowLeft|ArrowRight|ArrowUp|ArrowDown)$/.test(i)&&(i=""),i}class jb{constructor(e){this.recording=!1,this.canCoalesce=!1,this.model=e,this.reset()}get maximumDepth(){return 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r=e.position,n=!1,a="";while(!n){const o=e.at(r);n=0===t||void 0===o||"math"!==o.mode||!(/mord|textord|mpunct/.test(o.type)||"mop"===o.type&&/[a-zA-Z]+/.test(o.value))||!o.hasEmptyBranch("superscript")||!o.hasEmptyBranch("subscript")||"function"===typeof i&&!i(o),n||(o.mode="text",o.command=o.value,o.verbatimLatex=void 0,a+=o.value),r-=1,t-=1}hm(e,{data:a,inputType:"insertText"})}function Wb(e,t,i){"function"===typeof t&&(i=t,t=1/0),void 0===t&&(t=1/0);let r=e.position,n=!1;const a=[];while(!n){const o=e.at(r);n=0===t||!o||o.isFirstSibling||"text"!==o.mode||" "===o.value||i&&!i(o),n||(a.push(o.serialize({defaultMode:"math"})),o.mode="math"),r-=1,t-=1}Zb(e),hm(e,{data:$u(a),inputType:"insertText"})}function Zb(e){var t;let i=e.position-1;while(i>=0&&"math"===(null===(t=e.at(i))||void 0===t?void 0:t.mode))i-=1;if(!(i<0)&&"text"===e.at(i).mode&&" "===e.at(i).value&&"math"===e.at(i-1).mode){e.at(i-1).parent.removeChild(e.at(i-1));const t=e.suppressChangeNotifications;e.suppressChangeNotifications=!0,e.position-=1,e.suppressChangeNotifications=t,hm(e,{inputType:"deleteContent"})}}function Yb(e){let t="",i=e.position,r=!1;while(!r){const n=e.at(i);r=!(n&&("text"===n.mode||"math"===n.mode&&/mord|textord|mpunct/.test(n.type))),r||(t=n.value+t),i-=1}return t}function Xb(e,t,i){if(e.smartModeSuppressed)return!1;const{model:r}=e;if(!r.at(r.position).isLastSibling)return!1;if(!i||!Vb(i))return!1;const n=Gb(i);if(!r.selectionIsCollapsed)return!("text"!==e.mode||!/[/_^]/.test(n));const a=Yb(r)+n;if("text"===e.mode){if("Esc"===t||/[/\\]/.test(n))return!0;if(/[\^_]/.test(n))return/(^|\s)[a-zA-Z][^_]$/.test(a)&&Wb(r,1),!0;const e={")":"(","}":"{","]":"["}[n],{parent:i}=r.at(r.position);if(e&&i instanceof Ec&&i.leftDelim===e)return!0;if(/(^|[^a-zA-Z])(a|I) $/.test(a))return!1;if(/[$€£₤₺¥¤฿¢₡₧₨₹₩₱]/u.test(n))return!0;if(/(^|[^a-zA-Z'’])[a-zA-Z] $/.test(a))return Wb(r,1),!1;if(/\D\.[^\d\s]$/.test(a)){Wb(r,1);const e=r.at(r.position);return e.value="⋅",e.style.variant="normal",e.command="\\cdot",e.verbatimLatex=void 0,hm(r,{data:"\\cdot",inputType:"insertText"}),!0}if(/(^|\s)[a-zA-Z][^a-zA-Z]$/.test(a))return Wb(r,1),!0;if(/\.\d$/.test(a))return Wb(r,1),!0;if(/\([\d+\-.]$/.test(a))return Wb(r,1),!0;if(/\([a-z][,;]$/.test(a))return Wb(r,2),!0;if(/[\d+\-=><*|]$/.test(n))return Zb(r),!0}else{if("[Space]"===t)return Qb(r,void 0,(e=>/[a-z][:,;.]$/.test(e.value))),!0;if(/[a-zA-Z]{3,}$/.test(a)&&!/(dxd|abc|xyz|uvw)$/.test(a))return Qb(r,void 0,(e=>/[a-zA-Z]/.test(e.value))),!0;if(/(^|\W)(if)$/i.test(a))return Qb(r,1),!0;if(/(\u0393|\u0394|\u0398|\u039B|\u039E|\u03A0|\u03A3|\u03A5|\u03A6|\u03A8|\u03A9|[\u03B1-\u03C9]|\u03D1|\u03D5|\u03D6|\u03F1|\u03F5){3,}$/u.test(a)&&!/(αβγ)$/.test(a))return Qb(r,void 0,(e=>/(:|,|;|.|\u0393|\u0394|\u0398|\u039B|\u039E|\u03A0|\u03A3|\u03A5|\u03A6|\u03A8|\u03A9|[\u03B1-\u03C9]|\u03D1|\u03D5|\u03D6|\u03F1|\u03F5)/u.test(e.value))),!0;if("?"===n)return!0;if("."===n&&!/[\d-+]\.$/.test(a))return!0}return!1}var Jb="#mathlive-keystroke-caption-panel{--keystroke:#fff;--on-keystroke:#555;--keystroke-border:#f7f7f7;background:var(--secondary,hsl(var(--hue,212),19%,26%));border-color:var(--secondary-border,#e8e8e8);border-radius:6px;box-shadow:0 3px 6px rgba(0,0,0,.16),0 3px 6px rgba(0,0,0,.23);display:flex;flex-direction:row-reverse;justify-content:center;padding:16px;position:absolute;text-align:center;visibility:hidden;z-index:1}@media (prefers-color-scheme:dark){body:not([theme=light]) #mathlive-keystroke-caption-panel{--keystroke:hsl(var(--hue,212),50%,30%);--on-keystroke:#fafafa;--keystroke-border:hsl(var(--hue,212),50%,25%)}}body[theme=dark] #mathlive-keystroke-caption-panel{--keystroke:hsl(var(--hue,212),50%,30%);--on-keystroke:#fafafa;--keystroke-border:hsl(var(--hue,212),50%,25%)}#mathlive-keystroke-caption-panel>span{fill:currentColor;background-color:var(--keystroke);border:2px solid var(--keystroke-border);border-radius:6px;color:var(--on-keystroke);font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen,Ubuntu,Cantarell,Fira Sans,Droid Sans,Helvetica Neue,sans-serif;font-size:1em;margin:0 8px 0 0;min-width:14px;padding:4px}";let $b,ew=null,tw=null;function iw(e,t){if(e.options.readOnly||!e.keystrokeCaptionVisible)return;const i=nw(e),r=e.element.getBoundingClientRect();i.style.left=`${r.left}px`,i.style.top=r.top-64+"px",i.innerHTML=e.options.createHTML("<span>"+(id(t)||t)+"</span>"+i.innerHTML),i.style.visibility="visible",setTimeout((()=>{i.childNodes.length>0&&i.childNodes[i.childNodes.length-1].remove(),0===i.childNodes.length&&(i.style.visibility="hidden")}),3e3)}function rw(e){return e.keystrokeCaptionVisible=!e.keystrokeCaptionVisible,e.keystrokeCaptionVisible?(e.keystrokeCaption=nw(e),e.keystrokeCaption.innerHTML=""):e.keystrokeCaption&&(e.keystrokeCaption.style.visibility="hidden"),!1}function nw(e){return e.keystrokeCaption||(e.keystrokeCaption=Cp("mathlive-keystroke-caption-panel"),void 0===$b&&($b=Hc(Jb).toString(36)),ew=Kc(null,Jb,$b),tw=Kc(null,Uc,Hc(Uc).toString(36))),e.keystrokeCaption}function aw(e){Ep(e.keystrokeCaption),ew&&ew.release(),tw&&tw.release(),delete e.keystrokeCaption}class ow extends gm{constructor(){super("math")}onPaste(e,t){if(!t.clipboardData)return!1;if(!cm(e.model,{dataTransfer:t.clipboardData,inputType:"insertFromPaste"}))return!1;let i="",r="auto",n=t.clipboardData.getData("application/json+mathlive");if(n)try{const i=JSON.parse(n);if(i&&Array.isArray(i)){e.snapshot();const r=vh(i,e),{model:n}=e;n.selectionIsCollapsed||n.deleteAtoms(lm(n.selection));const a=n.at(n.position);return a.parent.addChildrenAfter(r,a),n.position=n.offsetOf(r[r.length-1]),hm(n,{inputType:"insertFromPaste"}),im(e),t.preventDefault(),t.stopPropagation(),!0}}catch{}if(n=t.clipboardData.getData("application/json"),n)try{const t=JSON.parse(n);if("object"===typeof t&&"latex"in t&&t.latex&&(i=t.latex),!i){const r=e.computeEngine.box(t);r.has("Error")||(i=r.latex)}i||(r="latex")}catch{}if(i||(i=t.clipboardData.getData("application/x-latex"),i&&(r="latex")),i||(i=t.clipboardData.getData("text/plain")),i){let n;return e.snapshot(),[n,i]=Oh(i),"auto"===r&&n&&(r="latex"),this.insert(e.model,i,{format:r})&&im(e),t.preventDefault(),t.stopPropagation(),!0}return!1}insert(e,t,i){const r="string"===typeof t?t:e.mathfield.computeEngine.box(t).latex;if(!cm(e,{data:r,inputType:"insertText"}))return!1;if(i.insertionMode||(i.insertionMode="replaceSelection"),i.selectionMode||(i.selectionMode="placeholder"),i.format||(i.format="auto"),e.mathfield.smartFence){if(e.selectionIsCollapsed&&"string"===typeof t&&pw(e,t,i.style))return!0}else if("replaceAll"!==i.insertionMode){const{parent:i}=e.at(e.position);if(i instanceof Ec&&"?"===i.rightDelim&&e.at(e.position).isLastSibling&&"string"===typeof t&&/^[)}\]|]$/.test(t))return i.isDirty=!0,i.rightDelim=t,e.position+=1,um(e),hm(e,{data:r,inputType:"insertText"}),!0}const{suppressChangeNotifications:n}=e;i.suppressChangeNotifications&&(e.suppressChangeNotifications=!0);const a=e.suppressChangeNotifications;e.suppressChangeNotifications=!0;const o={};if(o[0]="replaceAll"===i.insertionMode?"":e.getValue(e.selection,"latex-unstyled"),o["?"]="\\placeholder{}",o["@"]=o["?"],"replaceSelection"!==i.insertionMode||e.selectionIsCollapsed?"replaceAll"===i.insertionMode?(e.root.setChildren([],"body"),e.position=0):"insertBefore"===i.insertionMode?e.collapseSelection("backward"):"insertAfter"===i.insertionMode&&e.collapseSelection("forward"):e.deleteAtoms(lm(e.selection)),e.at(e.position).isLastSibling||"placeholder"!==e.at(e.position+1).type?"placeholder"===e.at(e.position).type&&e.deleteAtoms([e.position-1,e.position]):e.deleteAtoms([e.position,e.position+1]),o[0])o["@"]=o[0];else if("string"===typeof t&&/(^|[^\\])#@/.test(t)){const t=hw(e);t>=0&&(o["@"]=e.getValue(t,e.position,"latex-unstyled"),e.deleteAtoms([t,e.position]))}o[0]||(o[0]=o["?"]);let s=!1;const l=e=>(s=!0,o[e]),[u,c]=sw(e,t,l,i);if(!c)return!1;const h=cw(c),d=h.filter((t=>t.placeholderId&&!e.mathfield.placeholders.has(t.placeholderId))),p=h.map((e=>e.placeholderId));[...e.mathfield.placeholders.keys()].filter((e=>!p.includes(e))).forEach((t=>{var i;e.mathfield.placeholders.has(t)&&(null===(i=e.mathfield.placeholders.get(t))||void 0===i||i.field.remove(),e.mathfield.placeholders.delete(t))})),d.forEach((t=>{var i,r;console.assert(!!t.placeholderId&&!e.mathfield.placeholders.has(t.placeholderId));const n=new Ow({virtualKeyboardMode:"onfocus",readOnly:!1,fontsDirectory:e.mathfield.options.fontsDirectory}),a=null===(i=e.mathfield.element)||void 0===i?void 0:i.querySelector(".ML__placeholdercontainer");n.value=(null===(r=t.defaultValue)||void 0===r?void 0:r.length)?ac.serialize(t.defaultValue,{defaultMode:"text"}):"",n.classList.add("nested-mathfield"),n.style.display="inline-block",n.style.zIndex="1001",n.style.position="absolute",n.style.minWidth="30px";const o=document.createElement("style");o.textContent=".nested-mathfield { border: 1px solid black; }\n          .ML__container{ min-height:auto !important; }\n          ",n.appendChild(o),n.addEventListener("input",(()=>{dm(e,t.placeholderId),setTimeout((()=>im(e.mathfield)))})),null===a||void 0===a||a.appendChild(n),e.mathfield.placeholders.set(t.placeholderId,{atom:t,field:n})}));const{parent:m}=e.at(e.position);if("latex"!==u&&e.options.removeExtraneousParentheses&&m instanceof Ec&&"("===m.leftDelim&&m.hasEmptyBranch("body")&&1===c.length&&"genfrac"===c[0].type){const e=m.parent,t=m.treeBranch;e.removeChild(m),e.setChildren(c,t)}const f=m.hasEmptyBranch("body"),g=e.at(e.position);g.parent.addChildrenAfter(c,g),"latex"===u&&"string"===typeof t&&"root"===m.type&&f&&!s&&(m.verbatimLatex=t),e.suppressChangeNotifications=a;const v=c[c.length-1];if("placeholder"===i.selectionMode){const t=c.reduce(((e,t)=>[...e,...t.children.filter((e=>"placeholder"===e.type))]),[]);if(t.length>0){const i=e.offsetOf(t[0]);e.setSelection(i-1,i),e.announce("move")}else v&&(e.position=e.offsetOf(v))}else"before"===i.selectionMode||("after"===i.selectionMode?v&&(e.position=e.offsetOf(v)):"item"===i.selectionMode&&e.setSelection(e.anchor,e.offsetOf(v)));return hm(e,{data:r,inputType:"insertText"}),e.suppressChangeNotifications=n,!0}}function sw(e,t,i,r){var n;let a,o=[];return"string"!==typeof t||"math-json"===r.format?([a,t]=["latex",e.mathfield.computeEngine.box(t).latex],o=Rc(t,e.mathfield,{parseMode:"math"})):"string"===typeof t&&"ascii-math"===r.format?([a,t]=Th(t,{format:"ascii-math",inlineShortcuts:e.mathfield.options.inlineShortcuts}),o=Rc(t,e.mathfield,{parseMode:"math"}),"latex"!==a&&e.options.removeExtraneousParentheses&&uw(o)):("auto"===r.format||(null===(n=r.format)||void 0===n?void 0:n.startsWith("latex")))&&("auto"===r.format&&([a,t]=Th(t,{format:"auto",inlineShortcuts:e.mathfield.options.inlineShortcuts})),"latex"===r.format&&([,t]=Oh(t)),o=Rc(t,e.mathfield,{parseMode:"math",args:i}),"latex"!==r.format&&e.options.removeExtraneousParentheses&&uw(o)),Sb(o,r.style),[null!==a&&void 0!==a?a:"latex",o]}function lw(e){if(!e)return null;if(console.assert("first"===e[0].type),e.length>1)return null;const t=e[0];return t instanceof Ec&&"("===t.leftDelim&&")"===t.rightDelim?t.removeBranch("body"):null}function uw(e){if(e){for(let t=0;e[t];t++){const i=e[t];if(i instanceof Ec&&"("===i.leftDelim){let r=0,n=0,a=0;for(let e=0;i.body[e];e++)"genfrac"===i.body[e].type&&(r++,n=e),a++;0===a&&1===r&&(e[t]=i.body[n])}}for(const t of e){for(const e of t.branches)if(!t.hasEmptyBranch(e)){uw(t.branch(e));const i=lw(t.branch(e));i&&t.setChildren(i,e)}if(t instanceof Qc)for(const e of t.cells)uw(e)}}}function cw(e){if(!e)return[];const t=[];for(const i of e){for(const e of i.branches)if(!i.hasEmptyBranch(e)){const r=cw(i.branch(e));t.push(...r)}i instanceof Tc&&t.push(i)}return t}function hw(e){let t=e.at(e.position);if("text"===t.mode){while(!t.isFirstSibling&&"text"===t.mode)t=t.leftSibling;return e.offsetOf(t)}const i=t,r=[];while(!t.isFirstSibling&&(dw(t)||r.length>0))"mclose"===t.type&&r.unshift(t.value),"mopen"===t.type&&r.length>0&&t.value===dc[r[0]]&&r.shift(),t=t.leftSibling;return i===t?-1:e.offsetOf(t)}function dw(e){return!!/^(mord|surd|msubsup|leftright|mop|mclose)$/.test(e.type)&&(!e.isExtensibleSymbol&&!e.isFunction)}function pw(e,t,i){console.assert(e.selectionIsCollapsed);const r=e.at(e.position),{parent:n}=r;let a=n instanceof Ec?n.leftDelim+n.rightDelim:"";if("\\lbrace\\rbrace"===a&&(a="{}"),"\\{\\}"===a&&(a="{}"),"\\lparen\\rparen"===a&&(a="()"),"{}"===a&&/\||\\vert|\\Vert|\\mvert|\\mid/.test(t))return gm.insert("math",e,"\\,\\middle"+t+"\\, ",{format:"latex",style:i}),!0;"{"!==t&&"\\{"!==t||(t="\\lbrace"),"}"!==t&&"\\}"!==t||(t="\\rbrace"),"["===t&&(t="\\lbrack"),"]"===t&&(t="\\rbrack");const o=hc[t];if(o){const a=n;if("leftright"===a.type&&a.firstChild===r&&("?"===a.leftDelim||"."===a.leftDelim))return a.leftDelim=t,a.isDirty=!0,!0;if(!(n instanceof Ec&&"|"===n.leftDelim)){if(gm.insert("math",e,`\\left${t}\\right?`,{format:"latex",style:i}),"first"!==r.lastSibling.type){const t=e.offsetOf(r.lastSibling),i=e.extractAtoms([e.position,t]);e.at(e.position).body=i,e.position-=1}return!0}}let s="";if(Object.keys(hc).forEach((e=>{t===hc[e]&&(s=e)})),s){if(n instanceof Ec&&r.isLastSibling)return n.isDirty=!0,n.rightDelim=t,e.position+=1,hm(e,{data:t,inputType:"insertText"}),!0;const a=e.offsetOf(r.firstSibling);let o;for(o=e.position;o>=a;o--){const t=e.at(o);if(t instanceof Ec&&"?"===t.rightDelim)break}const s=e.at(o);if(o>=a&&s instanceof Ec)return s.rightDelim=t,s.addChildren(e.extractAtoms([o,e.position]),r.treeBranch),e.position=o,hm(e,{data:t,inputType:"insertText"}),!0;if(n instanceof Ec&&"?"===n.rightDelim)return n.isDirty=!0,n.rightDelim=t,n.parent.addChildren(e.extractAtoms([e.position,e.offsetOf(r.lastSibling)]),n.treeBranch),e.position=e.offsetOf(n),hm(e,{data:t,inputType:"insertText"}),!0;const l=n.parent;return!!(l instanceof Ec&&"?"===l.rightDelim&&e.at(e.position).isLastSibling)&&(e.position=e.offsetOf(l),pw(e,t,i))}return!1}function mw(e,t,i){var r,n,a,o;const{model:s}=e;Yh(i);const l=Xh();if(e.keyboardLayout!==l.id&&(e.keyboardLayout=l.id,e._keybindings=void 0),clearTimeout(e.inlineShortcutBufferFlushTimer),e.inlineShortcutBufferFlushTimer=0,iw(e,t),i.defaultPrevented)return e.flushInlineShortcutBuffer(),!1;let u,c,h="";if("math"===e.mode&&!i.ctrlKey&&!i.metaKey)if("[Backspace]"===t)e.inlineShortcutBuffer.pop(),e.flushInlineShortcutBuffer({defer:!0});else if(Vb(i)){const t=Gb(i),a=(null!==(n=null===(r=e.inlineShortcutBuffer[e.inlineShortcutBuffer.length-1])||void 0===r?void 0:r.keystrokes)&&void 0!==n?n:"")+t;e.inlineShortcutBuffer.push({state:s.getState(),keystrokes:a,leftSiblings:gw(e)});let o=0,l="";while(!u&&o<a.length){c=e.inlineShortcutBuffer.length-(a.length-o),l=a.slice(o);const t=e.inlineShortcutBuffer[c].leftSiblings;u=Eh(t,l,e.options.inlineShortcuts),!u&&/^[a-zA-Z][a-zA-Z0-9]+'?([_\^][a-zA-Z0-9\*\+\-]'?)?$/.test(l)&&(u=e.options.onInlineShortcut(e,l)),o+=1}e.flushInlineShortcutBuffer({defer:!0})}else e.flushInlineShortcutBuffer(),e.snapshot();if(e.options.smartMode){const r=e.mode;u?e.mode="math":Xb(e,t,i)&&(e.mode={math:"text",text:"math"}[e.mode],h=""),e.mode!==r&&(null===(a=e.host)||void 0===a||a.dispatchEvent(new Event("mode-change",{bubbles:!0,composed:!0})))}if(!u){if(h||(h=$h(e.keybindings,e.mode,t)),!h&&("[Enter]"===t||"[Return]"===t)){let t=!0;return cm(s,{inputType:"insertLineBreak"})&&(e.host&&(t=e.host.dispatchEvent(new Event("change",{bubbles:!0,composed:!0}))),t||i.preventDefault&&(i.preventDefault(),i.stopPropagation()),hm(s,{inputType:"insertLineBreak"})),t}if("math"===e.mode){if("[Space]"===t){if(e.flushInlineShortcutBuffer(),e.options.mathModeSpace)return e.snapshot(),gm.insert("math",s,e.options.mathModeSpace,{format:"latex"}),h="",e.dirty=!0,e.scrollIntoView(),i.preventDefault&&(i.preventDefault(),i.stopPropagation()),!0;const t=s.at(s.position+1),r=s.at(s.position-1);"text"!==(null===t||void 0===t?void 0:t.mode)&&"text"!==(null===r||void 0===r?void 0:r.mode)||(e.snapshot(),gm.insert("text",s," "),e.dirty=!0)}(null===(o=s.at(s.position))||void 0===o?void 0:o.isDigit())&&","===e.options.decimalSeparator&&","===Gb(i)&&(h="insertDecimalSeparator")}}if(!u&&!h)return!0;const d=s.at(Math.max(s.position,s.anchor)),{parent:p}=d;if("moveAfterParent"===h&&"leftright"===(null===p||void 0===p?void 0:p.type)&&d.isLastSibling&&e.options.smartFence&&pw(s,".",e.style)&&(h="",im(e)),h)e.executeCommand(h);else if(u){e.keyboardDelegate.cancelComposition();const t={...s.at(s.position).computedStyle,...e.style};if(!/^\\({|}|\[|]|@|#|\$|%|&|\^|_|backslash)$/.test(u)){const r=e.mode;gm.insert(e.mode,s,Gb(i),{suppressChangeNotifications:!0,style:t}),e.snapshot(),s.setState(e.inlineShortcutBuffer[c].state),e.mode=r}s.deferNotifications({content:!0,selection:!0,data:null!==u&&void 0!==u?u:null,type:"insertText"},(()=>(gm.insert(e.mode,s,u,{format:"latex",style:t}),Zb(e.model),u.endsWith(" ")&&(e.mode="text",gm.insert("text",s," ",{style:t})),!0))),e.snapshot(),e.dirty=!0,s.announce("replacement")}return e.scrollIntoView(),i.preventDefault&&i.preventDefault(),!1}function fw(e,t,i){var r;const{model:n}=e;if(e.options.readOnly)return void n.announce("plonk");if(i=null!==i&&void 0!==i?i:{},i.focus&&e.focus(),i.feedback&&(e.options.keypressVibration&&xs()&&navigator.vibrate(Mm),null===(r=e.keypressSound)||void 0===r||r.play().catch(console.warn)),"string"===typeof i.mode&&e.mode!==i.mode&&e.switchMode(i.mode),i.simulateKeystroke){const i=t.charAt(0),r=new KeyboardEvent("keypress",{key:i});if(!mw(e,i,r))return}const a=n.at(n.position),o={...a.computedStyle,...e.style};n.selectionIsCollapsed||(n.deleteAtoms(lm(n.selection)),e.snapshot());const s=Zu(t);if("latex"===e.mode)n.deferNotifications({content:!0,selection:!0,data:t,type:"insertText"},(()=>{xm(e);for(const e of s)gm.insert("latex",n,e);Am(e)}));else if("text"===e.mode)for(const l of s)gm.insert("text",n,l,{style:o});else if("math"===e.mode)for(const l of s){let t={"^":"moveToSuperscript",_:"moveToSubscript"," ":"moveAfterParent"}[l];" "===l&&e.options.mathModeSpace&&(t=["insert",e.options.mathModeSpace]),t?e.executeCommand(t):/\d/.test(l)&&e.options.smartSuperscript&&"superscript"===a.treeBranch&&a.hasNoSiblings?(gm.insert("math",n,l,{style:o}),Tb(n)):("mord"===a.type&&/[a-zA-Z]/.test(a.value)&&/[a-zA-Z]/.test(l)&&(a.style.variant&&(o.variant=a.style.variant),a.style.variantStyle&&(o.variantStyle=a.style.variantStyle)),gm.insert("math",n,l,{style:o}))}e.snapshotAndCoalesce(),e.dirty=!0,e.scrollIntoView()}function gw(e){const t=e.model,i=[];let r=t.at(Math.min(t.position,t.anchor));while("first"!==r.type)i.push(r),r=r.leftSibling;return i}function vw(e,t){e.flushInlineShortcutBuffer();const i=yw(e,t),{model:r}=e;return r.selectionIsCollapsed?(e.style.fontSeries&&i.fontSeries===e.style.fontSeries&&(i.fontSeries="auto"),i.fontShape&&i.fontShape===e.style.fontShape&&(i.fontShape="auto"),i.color&&i.color===e.style.color&&(i.color="none"),i.backgroundColor&&i.backgroundColor===e.style.backgroundColor&&(i.backgroundColor="none"),i.fontSize&&i.fontSize===e.style.fontSize&&(i.fontSize="auto"),e.style={...e.style,...i}):e.model.deferNotifications({content:!0,type:"insertText"},(()=>{r.selection.ranges.forEach((e=>Mb(r,e,i,{operation:"toggle"}))),e.snapshot()})),!0}function yw(e,t){var i,r,n,a,o,s;const l={};"string"===typeof t.color&&(l.verbatimColor=t.color,l.color=null!==(i=e.colorMap(t.color))&&void 0!==i?i:"none"),"string"===typeof t.backgroundColor&&(l.verbatimBackgroundColor=t.backgroundColor,l.backgroundColor=null!==(r=e.backgroundColorMap(t.backgroundColor))&&void 0!==r?r:"none"),"string"===typeof t.fontFamily&&(l.fontFamily=t.fontFamily),"string"===typeof t.series&&(l.fontSeries=t.series),"string"===typeof t.fontSeries&&(l.fontSeries=t.fontSeries.toLowerCase()),l.fontSeries&&(l.fontSeries=null!==(n={bold:"b",medium:"m",normal:"m"}[l.fontSeries])&&void 0!==n?n:l.fontSeries),"string"===typeof t.shape&&(l.fontShape=t.shape),"string"===typeof t.fontShape&&(l.fontShape=t.fontShape.toLowerCase()),l.fontShape&&(l.fontShape=null!==(a={italic:"it",up:"n",upright:"n",normal:"n"}[l.fontShape])&&void 0!==a?a:l.fontShape);const u=null!==(o=t.size)&&void 0!==o?o:t.fontSize;return"number"===typeof u?l.fontSize=Math.max(1,Math.min(10,u)):"string"===typeof u&&(l.fontSize=null!==(s={size1:1,size2:2,size3:3,size4:4,size5:5,size6:6,size7:7,size8:8,size9:9,size10:10}[u.toLowerCase()])&&void 0!==s?s:{tiny:1,scriptsize:2,footnotesize:3,small:4,normal:5,normalsize:5,large:6,Large:7,LARGE:8,huge:9,Huge:10}[u]),l}new ow,zm({undo:e=>(Sm(e,"accept"),e.undo(),!0),redo:e=>(Sm(e,"accept"),e.redo(),!0),scrollIntoView:e=>(e.scrollIntoView(),!0),scrollToStart:e=>(e.field.scroll(0,0),!0),scrollToEnd:e=>{const t=e.field.getBoundingClientRect();return e.field.scroll(t.left-window.scrollX,0),!0},enterLatexMode:e=>(e.switchMode("latex"),!0),toggleKeystrokeCaption:rw,switchMode:(e,t,i,r)=>(e.switchMode(t,i,r),!0),insert:(e,t,i)=>e.insert(t,i),typedText:(e,t,i)=>(fw(e,t,i),!0),insertDecimalSeparator:e=>{if("math"===e.mode&&","===e.options.decimalSeparator){const t=e.model,i=t.at(Math.max(t.position,t.anchor));if(i.isDigit())return e.snapshot(),e.insert("{,}",{format:"latex"}),!0}return e.insert("."),!0},commit:e=>{var t;return null===(t=e.host)||void 0===t||t.dispatchEvent(new Event("change",{bubbles:!0,composed:!0})),!0}}),zm({copyToClipboard:e=>(e.focus(),e.model.selectionIsCollapsed&&e.select(),document.execCommand("copy"),!1),cutToClipboard:e=>(e.focus(),document.execCommand("cut"),!0),pasteFromClipboard:e=>(e.focus(),document.execCommand("paste"),!0)},{target:"mathfield",category:"clipboard"}),zm({applyStyle:vw},{target:"mathfield"});let bw,ww,xw=null,Aw=0;function kw(e){return ys()&&"TouchEvent"in globalThis&&e instanceof TouchEvent}function Sw(e){return ys()&&"PointerEvent"in globalThis&&e instanceof PointerEvent}function Mw(e,t){var i;e.atomBoundsCache=new Map;const r=e;let n,a=!1,o="none";if(Sw(t)&&t.buttons>1)return;let s=!1,l=!1;const u=kw(t)?t.touches[0].clientX:t.clientX,c=kw(t)?t.touches[0].clientY:t.clientY,h=Date.now(),d=r.field,p=setInterval((()=>{s?d.scroll({top:0,left:d.scrollLeft-16}):l&&d.scroll({top:0,left:d.scrollLeft+16})}),32);function m(t){ys()&&("PointerEvent"in window?(Lp(d,"pointermove",f),Lp(d,"pointerup pointercancel",m),t instanceof PointerEvent&&d.releasePointerCapture(t.pointerId)):(Lp(d,"touchmove",f),Lp(d,"touchcancel touchend",m),Lp(window,"mousemove",f),Lp(window,"mouseup blur",m)),a=!1,clearInterval(p),e.element.classList.remove("tracking"),t&&t.preventDefault())}function f(t){if(!r.hasFocus())return void m(null);const i=kw(t)?t.touches[0].clientX:t.clientX,a=kw(t)?t.touches[0].clientY:t.clientY,o=kw(t)||"touch"===t.pointerType?20:5;if(Date.now()<h+500&&Math.abs(u-i)<o&&Math.abs(c-a)<o)return t.preventDefault(),void t.stopPropagation();const p=d.getBoundingClientRect();l=i>p.right,s=i<p.left;let f=n;Sw(t)?t.isPrimary||(f=Cw(r,t.clientX,t.clientY,{bias:0})):t.touches&&2===t.touches.length&&(f=Cw(r,t.touches[1].clientX,t.touches[1].clientY,{bias:0}));const g=Cw(r,i,a,{bias:i<=u?i===u?0:-1:1});f>=0&&g>=0&&(r.model.extendSelectionTo(f,g),im(e)),t.preventDefault(),t.stopPropagation()}xw&&Math.abs(xw.x-u)<5&&Math.abs(xw.y-c)<5&&Date.now()<xw.time+500?(Aw+=1,xw.time=h):(xw={x:u,y:c,time:h},Aw=1);const g=d.getBoundingClientRect();if(u>=g.left&&u<=g.right&&c>=g.top&&c<=g.bottom){if(e.hasFocus()||(o="all",e.focus({scrollIntoView:!1})),e.flushInlineShortcutBuffer(),e.smartModeSuppressed=!1,n=Cw(e,u,c,{bias:0}),n>=0){if(e.element.classList.add("tracking"),t.shiftKey){const t=e.model.selectionIsCollapsed;e.model.extendSelectionTo(e.model.anchor,n),o=km(e.model)||t?"all":"selection"}else"placeholder"===e.model.at(n).type?(e.model.setSelection(n-1,n),o="selection"):"placeholder"===(null===(i=e.model.at(n).rightSibling)||void 0===i?void 0:i.type)?(e.model.setSelection(n,n+1),o="selection"):(e.model.position=n,o=km(e.model)?"all":"selection");e.style={},3===t.detail||Aw>2?(m(t),3!==t.detail&&3!==Aw||(e.model.selection={ranges:[[0,e.model.lastOffset]]},o="all")):a||(a=!0,ys()&&"PointerEvent"in window?(zp(d,"pointermove",f),zp(d,"pointerup pointercancel",m),t instanceof PointerEvent&&d.setPointerCapture(t.pointerId)):(zp(window,"blur",m),kw(t)&&t.touches?(zp(t.target,"touchmove",f),zp(t.target,"touchcancel touchend",m)):(zp(window,"mousemove",f),zp(window,"mouseup",m))),2!==t.detail&&2!==Aw||(Fb(e.model),o="all"))}}else xw=null;"none"!==o&&(e.model.selectionIsCollapsed&&(o="all"),im(e)),t.preventDefault()}function Nw(e,t,i){if(e>=i.left&&e<=i.right&&t>=i.top&&t<=i.bottom)return 0;const r=e-(i.left+i.right)/2,n=t-(i.top+i.bottom)/2;return r*r+n*n}function zw(e,t,i,r,n){if(!i.id)return[1/0,null];if(t.has(i.id))return t.get(i.id);const a=Op(e,i);if(!a)return[1/0,null];let o=["group"===i.type||"root"===i.type?1/0:Nw(r,n,a),i];if(!i.captureSelection&&r>=a.left&&r<=a.right&&i.hasChildren){for(const a of i.children){const i=zw(e,t,a,r,n);i[0]<=o[0]&&(o=i)}o[1]||(o=[Nw(r,n,a),i])}return t.set(i.id,o),o}function Lw(e,t,i){const[,r]=zw(e,new Map,e.model.root,t,i);return r}function Cw(e,t,i,r){var n;const a=e.fieldContent.getBoundingClientRect();if(t>a.right||i>a.bottom+8)return e.model.lastOffset;if(t<a.left||i<a.top-8)return 0;r=null!==r&&void 0!==r?r:{},r.bias=null!==(n=r.bias)&&void 0!==n?n:0;let o=Lw(e,t,i);const s=[];let l=o;while(l)s.unshift(l),l=l.parent;for(const c of s)if(c.captureSelection){o=c;break}let u=e.model.offsetOf(o);if(u<0)return-1;if(o.leftSibling)if(0===r.bias&&"placeholder"!==o.type){const i=Op(e,o);i&&t<(i.left+i.right)/2&&(u=e.model.offsetOf(o.leftSibling))}else r.bias<0&&(u=e.model.offsetOf(o.leftSibling));return u}class Ew extends gm{constructor(){super("text")}onPaste(e,t){if(!t.clipboardData)return!1;const i=t.clipboardData.getData("text/plain");return!(!i||!cm(e.model,{inputType:"insertFromPaste",data:i}))&&(e.snapshot(),this.insert(e.model,i)&&(hm(e.model,{inputType:"insertFromPaste"}),im(e)),t.preventDefault(),t.stopPropagation(),!0)}insert(e,t,i={}){if(!cm(e,{data:t,inputType:"insertText"}))return!1;i.insertionMode||(i.insertionMode="replaceSelection"),i.selectionMode||(i.selectionMode="placeholder"),i.format||(i.format="auto");const{suppressChangeNotifications:r}=e;i.suppressChangeNotifications&&(e.suppressChangeNotifications=!0);const n=e.suppressChangeNotifications;e.suppressChangeNotifications=!0,"replaceSelection"!==i.insertionMode||e.selectionIsCollapsed?"replaceAll"===i.insertionMode?(e.root.setChildren([],"body"),e.position=0):"insertBefore"===i.insertionMode?e.collapseSelection("backward"):"insertAfter"===i.insertionMode&&e.collapseSelection("forward"):e.deleteAtoms(lm(e.selection));const a=_w(t,e.mathfield);if(Sb(a,i.style),!a)return!1;const o=e.at(e.position),s=o.parent.addChildrenAfter(a,o);return e.suppressChangeNotifications=n,"before"===i.selectionMode||("item"===i.selectionMode?e.setSelection(e.anchor,e.offsetOf(s)):s&&(e.position=e.offsetOf(s))),hm(e,{data:t,inputType:"insertText"}),e.suppressChangeNotifications=r,!0}}function _w(e,t){return e=e.replace(/\\/g,"\\textbackslash "),e=e.replace(/#/g,"\\#"),e=e.replace(/\$/g,"\\$"),e=e.replace(/%/g,"\\%"),e=e.replace(/&/g,"\\&"),e=e.replace(/_/g,"\\_"),e=e.replace(/{/g,"\\textbraceleft "),e=e.replace(/}/g,"\\textbraceright "),e=e.replace(/\^/g,"\\textasciicircum "),e=e.replace(/~/g,"\\textasciitilde "),e=e.replace(/£/g,"\\textsterling "),Rc(e,t,{parseMode:"text"})}new Ew;class Tw{constructor(e,t){var i,r,n;this.focusBlurInProgress=!1,this.stylesheets=[],this.options=xf({...Sf(),registers:pd(this)},t.readOnly?{...t,virtualKeyboardMode:"off"}:{plonkSound:"plonk.wav",keypressSound:{spacebar:"keypress-spacebar.wav",return:"keypress-return.wav",delete:"keypress-delete.wav",default:"keypress-standard.wav"},...t}),"auto"===this.options.virtualKeyboardMode&&(this.options.virtualKeyboardMode=ws()?"onfocus":"off"),t.computeEngine&&(this._computeEngine=t.computeEngine),t.eventSink&&(this.host=t.eventSink),this.placeholders=new Map,this.plonkSound=this.options.plonkSound,this.options.keypressSound?!this.options.keypressSound||"string"===typeof this.options.keypressSound||this.options.keypressSound instanceof HTMLAudioElement||(this.keypressSound=this.options.keypressSound.default,this.spacebarKeypressSound=this.options.keypressSound.spacebar,this.returnKeypressSound=this.options.keypressSound.return,this.deleteKeypressSound=this.options.keypressSound.delete):(this.keypressSound=null,this.spacebarKeypressSound=null,this.returnKeypressSound=null,this.deleteKeypressSound=null),this.element=e,e.mathfield=this;let a=null!==(i=t.value)&&void 0!==i?i:this.element.textContent;a&&(a=a.trim()),kh(this.options.fontsDirectory),bw||(bw=Hc(Uc).toString(36)),this.stylesheets.push(Kc(e,Uc,bw)),ww||(ww=Hc(ib).toString(36)),this.stylesheets.push(Kc(e,ib,ww));let o="<span class='ML__textarea'>";if(ws()?o+='<span class=\'ML__textarea__textarea\' tabindex="-1" role="textbox"></span>':o+=`<textarea class="ML__textarea__textarea" autocapitalize="off" autocomplete="off" autocorrect="off" spellcheck="false" aria-hidden="true" tabindex="${null!==(r=e.tabIndex)&&void 0!==r?r:0}"></textarea>`,o+="</span>",o+='<span part="container" class="ML__container"><span part="content" class="ML__content"></span>',o+=`<div part='virtual-keyboard-toggle' class="ML__virtual-keyboard-toggle" role="button" data-ML__tooltip="${gd("tooltip.toggle virtual keyboard")}">`,o+=null!==(n=this.options.virtualKeyboardToggleGlyph)&&void 0!==n?n:kf,o+="</div>",o+="<div class='ML__placeholdercontainer'></div>",o+="</span>",o+='<div class="ML__sr-only"><span aria-role="status" aria-live="assertive" aria-atomic="true"></span><span></span></div>',this.element.innerHTML=this.options.createHTML(o),!this.element.children)return void console.error("%cMathlive: Something went wrong and the mathfield could not be created.%c\nIf you are using Vue, this may be because you are using the runtime-only build of Vue. Make sure to include 'runtimeCompiler: true' in your Vue configuration. Theremay a warning from Vue in the log above.","color:red;font-family:system-ui;font-size:1.2rem;font-weight:bold","color:inherith;font-family:system-ui;font-size:inherit;font-weight:inherit");let s=0;const l=this.element.children[s++].firstElementChild;this.field=this.element.children[s].children[0],s++,this.virtualKeyboardToggle=this.element.querySelector(".ML__virtual-keyboard-toggle"),this.ariaLiveText=this.element.children[s].children[0],this.accessibleNode=this.element.children[s++].children[1],this.keystrokeCaptionVisible=!1,this.popoverVisible=!1,this.suggestionIndex=0,this.inlineShortcutBuffer=[],this.inlineShortcutBufferFlushTimer=0,this.mode=Mf(this.options),this.smartModeSuppressed=!1,this.style={},this.options.readOnly||"manual"!==this.options.virtualKeyboardMode?this.virtualKeyboardToggle.classList.remove("is-visible"):this.virtualKeyboardToggle.classList.add("is-visible"),this.options.readOnly?this.element.classList.add("ML__isReadOnly"):this.element.classList.remove("ML__isReadOnly"),"inline-math"===this.options.defaultMode?this.element.classList.add("ML__isInline"):this.element.classList.remove("ML__isInline"),this.element.querySelector(".ML__content").addEventListener("click",(e=>e.stopImmediatePropagation()),{capture:!1}),this.field.addEventListener("wheel",this,{passive:!1}),Vp((e=>this.executeCommand(e)),this.virtualKeyboardToggle,{default:"toggleVirtualKeyboard",alt:"toggleVirtualKeyboardAlt",shift:"toggleVirtualKeyboardShift"}),this.blurred=!0,zp(this.element,"focus",this),zp(this.element,"blur",this),this.keyboardDelegate=Kb(l,this.element,{typedText:e=>fw(this,e),cut:e=>{this.options.readOnly?this.model.announce("plonk"):cm(this.model,{inputType:"deleteByCut"})&&(this.snapshot(),gm.onCopy(this,e),setTimeout((()=>{wb(this.model,lm(this.model.selection),"deleteByCut"),im(this)}),0))},copy:e=>gm.onCopy(this,e),paste:e=>{let t=!0;return this.options.readOnly&&(t=!1),t&&(t=gm.onPaste(this.model.at(this.model.position).mode,this,e)),t||this.model.announce("plonk"),t},keystroke:(e,t)=>mw(this,e,t),focus:()=>this.onFocus(),blur:()=>this.onBlur(),compositionStart:e=>this.onCompositionStart(e),compositionUpdate:e=>this.onCompositionUpdate(e),compositionEnd:e=>this.onCompositionEnd(e)}),ys()&&"PointerEvent"in window?zp(this.field,"pointerdown",this):zp(this.field,"touchstart:active mousedown",this),zp(window,"resize",this),window.addEventListener("blur",(()=>{_p(this)&&this.hasFocus()&&window.addEventListener("focus",(e=>{e.target===window&&_p(this)&&this.focus()}),{once:!0})}),{capture:!0}),this.model=new cb({mode:Mf(this.options),macros:this.options.macros,removeExtraneousParentheses:this.options.removeExtraneousParentheses},{onSelectionDidChange:e=>this._onSelectionDidChange()},this),this.undoManager=new jb(this.model),a&&gm.insert("math",this.model,a,{insertionMode:"replaceAll",selectionMode:"after",format:"latex",suppressChangeNotifications:!0}),this.undoManager.startRecording(),this.undoManager.snapshot(),this.model.setListeners({onSelectionDidChange:e=>this._onSelectionDidChange()}),im(this),ys()&&document.fonts.ready.then((()=>rm(this)))}get colorMap(){return e=>{var t;let i;return"function"===typeof(null===(t=this.options)||void 0===t?void 0:t.colorMap)&&(i=this.options.colorMap(e)),i||(i=pu(e)),i}}get backgroundColorMap(){return e=>{var t;let i;return"function"===typeof(null===(t=this.options)||void 0===t?void 0:t.backgroundColorMap)&&(i=this.options.backgroundColorMap(e)),i||"function"!==typeof this.options.colorMap||(i=this.options.colorMap(e)),i||(i=mu(e)),i}}get fractionNavigationOrder(){var e,t;return null!==(t=null===(e=this.options)||void 0===e?void 0:e.fractionNavigationOrder)&&void 0!==t?t:"numerator-denominator"}get placeholderSymbol(){var e,t;return null!==(t=null===(e=this.options)||void 0===e?void 0:e.placeholderSymbol)&&void 0!==t?t:"▢"}get smartFence(){var e,t;return null!==(t=null===(e=this.options)||void 0===e?void 0:e.smartFence)&&void 0!==t&&t}get letterShapeStyle(){var e,t;return null!==(t=null===(e=this.options)||void 0===e?void 0:e.letterShapeStyle)&&void 0!==t?t:"tex"}get registers(){var e,t;return null!==(t=null===(e=this.options)||void 0===e?void 0:e.registers)&&void 0!==t?t:{}}getDefinition(e,t="math"){return yd(e,t)}getMacro(e){return bd(e,this.options.macros)}get virtualKeyboard(){var e;if(!this.options.readOnly)return this._virtualKeyboard||((null===(e=window.mathlive)||void 0===e?void 0:e.sharedVirtualKeyboard)||this.options.useSharedVirtualKeyboard?this._virtualKeyboard=new cf({targetOrigin:this.options.sharedVirtualKeyboardTargetOrigin,originValidator:this.options.originValidator,mathfield:this}):this._virtualKeyboard=new Rm(this.options,this)),this._virtualKeyboard}get computeEngine(){return this._computeEngine||(this._computeEngine=new tb,","===this.options.decimalSeparator&&(this._computeEngine.latexOptions.decimalMarker="{,}")),this._computeEngine}get virtualKeyboardState(){var e;return(null===(e=this.virtualKeyboard)||void 0===e?void 0:e.visible)?"visible":"hidden"}set virtualKeyboardState(e){this.virtualKeyboard&&("hidden"===e?this.virtualKeyboard.executeCommand("hideVirtualKeyboard"):"visible"===e&&this.virtualKeyboard.executeCommand("showVirtualKeyboard"))}get keybindings(){var e,t;if(this._keybindings)return this._keybindings;const[i,r]=ad(this.options.keybindings,null!==(e=Xh())&&void 0!==e?e:Kh);return(null===(t=Xh())||void 0===t?void 0:t.score)>0&&(this._keybindings=i,r.length>0&&console.error("invalid keybindings for current keyboard layout",r)),i}setOptions(e){var t,i;if(this.options=xf(this.options,e),this._computeEngine&&"decimalSeparator"in e&&(this._computeEngine.latexOptions.decimalMarker=","===this.options.decimalSeparator?"{,}":"."),this.model.setListeners({onSelectionDidChange:e=>this._onSelectionDidChange()}),this.model.options.macros=this.options.macros,this._keybindings=void 0,this.plonkSound=this.options.plonkSound,!this.options.keypressSound||"string"===typeof this.options.keypressSound||this.options.keypressSound instanceof HTMLAudioElement||(this.keypressSound=this.options.keypressSound.default,this.spacebarKeypressSound=this.options.keypressSound.spacebar,this.returnKeypressSound=this.options.keypressSound.return,this.deleteKeypressSound=this.options.keypressSound.delete),this.options.readOnly?(this.onBlur(),this.element.classList.add("ML__isReadOnly")):this.element.classList.remove("ML__isReadOnly"),"inline-math"===this.options.defaultMode?this.element.classList.add("ML__isInline"):this.element.classList.remove("ML__isInline"),null===(t=this.virtualKeyboard)||void 0===t||t.setOptions(this.options),this.options.readOnly||"manual"!==this.options.virtualKeyboardMode?this.virtualKeyboardToggle.classList.remove("is-visible"):this.virtualKeyboardToggle.classList.add("is-visible"),"virtualKeyboardToggleGlyph"in e){const e=null===(i=this.element)||void 0===i?void 0:i.querySelector(".ML__virtual-keyboard-toggle");e&&(e.innerHTML=this.options.createHTML(this.options.virtualKeyboardToggleGlyph))}const r=ac.serialize(this.model.root,{expandMacro:!1,defaultMode:this.options.defaultMode});("macros"in e||this.model.getValue()!==r)&&gm.insert("math",this.model,r,{insertionMode:"replaceAll",selectionMode:"after",format:"latex",suppressChangeNotifications:!0}),im(this)}getOptions(e){return Af(this.options,e)}getOption(e){return Af(this.options,e)}handleEvent(e){if(_p(this))switch(e.type){case"focus":this.onFocus();break;case"blur":this.onBlur();break;case"touchstart":case"mousedown":Mw(this,e);break;case"pointerdown":Mw(this,e);break;case"resize":this.resizeTimer&&cancelAnimationFrame(this.resizeTimer),this.resizeTimer=requestAnimationFrame((()=>_p(this)&&this.onResize()));break;case"wheel":this.onWheel(e);break;default:console.warn("Unexpected event type",e.type)}}dispose(){if(!_p(this))return;const e=this.element;delete this.element,delete e.mathfield,e.innerHTML=this.model.getValue(),Lp(e,"pointerdown",this),Lp(e,"touchstart:active mousedown",this),Lp(e,"focus",this),Lp(e,"blur",this),Lp(window,"resize",this),window.removeEventListener("blur",this,{capture:!0}),delete this.accessibleNode,delete this.ariaLiveText,delete this.field,delete this.fieldContent,this.virtualKeyboardToggle.remove(),delete this.virtualKeyboardToggle,this._virtualKeyboard&&(this._virtualKeyboard.dispose(),delete this._virtualKeyboard),em(this),aw(this),this.stylesheets.forEach((e=>null===e||void 0===e?void 0:e.release()))}flushInlineShortcutBuffer(e){if(null!==e&&void 0!==e||(e={defer:!1}),!e.defer)return this.inlineShortcutBuffer=[],clearTimeout(this.inlineShortcutBufferFlushTimer),void(this.inlineShortcutBufferFlushTimer=0);this.options.inlineShortcutTimeout>0&&(clearTimeout(this.inlineShortcutBufferFlushTimer),this.inlineShortcutBufferFlushTimer=setTimeout((()=>this.flushInlineShortcutBuffer()),this.options.inlineShortcutTimeout))}executeCommand(e){var t,i;return"virtual-keyboard"===Lm(e)?null!==(i=null===(t=this.virtualKeyboard)||void 0===t?void 0:t.executeCommand(e))&&void 0!==i&&i:Cm(this,e)}get errors(){return Fc(this.model.getValue(),this)}getValue(e,t,i){return this.model.getValue(e,t,i)}setValue(e,t){var i;t=null!==t&&void 0!==t?t:{mode:"math"},void 0===t.insertionMode&&(t.insertionMode="replaceAll"),void 0!==t.format&&"auto"!==t.format||(t.format="latex");let r="math";void 0!==t.mode&&"auto"!==t.mode||(r=null!==(i=kb(this.model,this.model.position))&&void 0!==i?i:"math"),gm.insert(r,this.model,e,t)&&(this.undoManager.snapshot(),im(this))}get expression(){const e=this.computeEngine;return e.box(e.parse(this.model.getValue()))}scrollIntoView(){var e;if(!this.element)return;null===(e=this.host)||void 0===e||e.scrollIntoView({block:"nearest",inline:"nearest"}),this.dirty&&rm(this,{interactive:!0});const t=this.field.getBoundingClientRect();let i=null;if(this.model.selectionIsCollapsed)i=Bp(this.field);else{const e=Fp(this);if(e.length>0){let r=-1/0,n=-1/0;for(const t of e)t.right>r&&(r=t.right),t.top<n&&(n=t.top);i={x:r+t.left-this.field.scrollLeft,y:n+t.top-this.field.scrollTop,height:0}}}if(this.host&&i){const e=this.host.getBoundingClientRect(),t=i.y;let r=this.host.scrollTop;t<e.top?r=t-e.top+this.host.scrollTop:t>e.bottom&&(r=t-e.bottom+this.host.scrollTop+i.height),this.host.scroll({top:r,left:0})}if(i){const e=i.x-window.scrollX;let r=this.field.scrollLeft;e<t.left?r=e-t.left+this.field.scrollLeft-20:e>t.right&&(r=e-t.right+this.field.scrollLeft+20),this.field.scroll({top:this.field.scrollTop,left:r})}}insert(e,t){var i;if("string"===typeof e&&e.length>0){if(this.flushInlineShortcutBuffer(),t=null!==t&&void 0!==t?t:{mode:"math"},t.focus&&this.focus(),t.feedback&&(this.options.keypressVibration&&xs()&&navigator.vibrate(Mm),null===(i=this.keypressSound)||void 0===i||i.play().catch(console.warn)),t.scrollIntoView&&this.scrollIntoView(),"\\\\"===e)pb(this.model);else if("&"===e)fb(this.model);else{const i=this.style;gm.insert(this.mode,this.model,e,{style:this.model.at(this.model.position).computedStyle,...t}),t.resetStyle&&(this.style=i)}return this.undoManager.snapshot(),im(this),!0}return!1}switchMode(e,t="",i=""){if(this.mode===e||this.options.readOnly)return;const r=this.mode,{model:n}=this;n.deferNotifications({content:Boolean(i)||Boolean(t),selection:!0,type:"insertText"},(()=>{var a,o;let s=!1;if(this.flushInlineShortcutBuffer(),this.smartModeSuppressed=/text|math/.test(this.mode)&&/text|math/.test(e),t&&"latex"!==e){const i=Rc(t,this,{parseMode:e});n.collapseSelection("forward");const r=n.at(n.position);n.position=n.offsetOf(r.parent.addChildrenAfter(i,r)),s=!0}if(this.mode=e,"latex"===e){let e,i=n.selectionIsCollapsed;Sm(this,"accept"),(null===(a=this.virtualKeyboard)||void 0===a?void 0:a.visible)&&this.executeCommand(["switchKeyboardLayer","latex-lower"]);let r=n.at(n.position);if(i)e="\\";else{const a=lm(n.selection);e=this.model.getValue(a,"latex");const o=this.model.extractAtoms(a);1===o.length&&o[0]instanceof Tc&&(e=t,i=!0),r=n.at(a[0])}const o=new lh(e,this);r.parent.addChildAfter(o,r),i?n.position=n.offsetOf(o.lastChild):n.setSelection(n.offsetOf(o.firstChild),n.offsetOf(o.lastChild))}else bm(n).forEach((e=>{e.isError=!1}));if(i){const e=Rc(i,this,{parseMode:r});n.collapseSelection("forward");const t=n.at(n.position);n.position=n.offsetOf(t.parent.addChildrenAfter(e,t)),s=!0}return null===(o=this.host)||void 0===o||o.dispatchEvent(new Event("mode-change",{bubbles:!0,composed:!0})),im(this),s})),this.mode=e}hasFocus(){return ys()&&this.keyboardDelegate.hasFocus()}focus(e){var t;this.keyboardDelegate.focus(),this.model.announce("line"),(null===(t=null===e||void 0===e?void 0:e.scrollIntoView)||void 0===t||t)&&this.scrollIntoView()}blur(){this.keyboardDelegate.blur()}select(){this.model.selection={ranges:[[0,this.model.lastOffset]]}}applyStyle(e,t={}){var i,r;const n={operation:"set",suppressChangeNotifications:!1};nb(t)?n.range=t:(n.range=t.range,n.suppressChangeNotifications=null!==(i=t.suppressChangeNotifications)&&void 0!==i&&i);const a=yw(this,e),o=null!==(r=n.operation)&&void 0!==r?r:"set";this.model.deferNotifications({content:!n.suppressChangeNotifications,type:"insertText"},(()=>{void 0===n.range?this.model.selection.ranges.forEach((e=>Mb(this.model,e,a,{operation:o}))):Mb(this.model,n.range,a,{operation:o})})),im(this)}getCaretPoint(){const e=Bp(this.field);return e?{x:e.x,y:e.y}:null}setCaretPoint(e,t){const i=Cw(this,e,t,{bias:0});if(i<0)return!1;const r=this.model.position;return this.model.position=i,this.model.announce("move",r),im(this),!0}getPlaceholderField(e){var t;return null===(t=this.placeholders.get(e))||void 0===t?void 0:t.field}attachNestedMathfield(){let e=!1;this.placeholders.forEach((t=>{var i,r,n,a,o,s,l,u;const c=null===(i=this.field)||void 0===i?void 0:i.querySelector(`[data-placeholder-id=${t.atom.placeholderId}]`);if(c){const i=c.getBoundingClientRect(),h=null===(r=this.field)||void 0===r?void 0:r.getBoundingClientRect(),d=.6*parseInt(window.getComputedStyle(c).fontSize);(!t.field.style.fontSize||Math.abs(d-parseFloat(t.field.style.fontSize))>=.2)&&(e=!0,t.field.style.fontSize=`${d}px`);const p=(null!==(n=null===i||void 0===i?void 0:i.top)&&void 0!==n?n:0)-(null!==(a=null===h||void 0===h?void 0:h.top)&&void 0!==a?a:0)+(null!==(o=this.element.offsetTop)&&void 0!==o?o:0),m=(null!==(s=null===i||void 0===i?void 0:i.left)&&void 0!==s?s:0)-(null!==(l=null===h||void 0===h?void 0:h.left)&&void 0!==l?l:0)+(null!==(u=this.element.offsetLeft)&&void 0!==u?u:0);(!t.field.style.left||Math.abs(m-parseFloat(t.field.style.left))>=1)&&(e=!0,t.field.style.left=`${m}px`),(!t.field.style.top||Math.abs(p-parseFloat(t.field.style.top))>=1)&&(e=!0,t.field.style.top=`${p}px`)}})),e&&im(this)}canUndo(){return this.undoManager.canUndo()}canRedo(){return this.undoManager.canRedo()}popUndoStack(){this.undoManager.pop()}snapshot(){var e,t;this.undoManager.snapshot()&&(null===(e=this.virtualKeyboard)||void 0===e||e.executeCommand(["onUndoStateChanged",this.canUndo(),this.canRedo()]),null===(t=this.host)||void 0===t||t.dispatchEvent(new CustomEvent("undo-state-change",{bubbles:!0,composed:!0,detail:{type:"snapshot"}})))}snapshotAndCoalesce(){var e,t;this.undoManager.snapshotAndCoalesce()&&(null===(e=this.virtualKeyboard)||void 0===e||e.executeCommand(["onUndoStateChanged",this.canUndo(),this.canRedo()]),null===(t=this.host)||void 0===t||t.dispatchEvent(new CustomEvent("undo-state-change",{bubbles:!0,composed:!0,detail:{type:"snapshot"}})))}undo(){var e,t;this.undoManager.undo()&&(null===(e=this.virtualKeyboard)||void 0===e||e.executeCommand(["onUndoStateChanged",this.canUndo(),this.canRedo()]),null===(t=this.host)||void 0===t||t.dispatchEvent(new CustomEvent("undo-state-change",{bubbles:!0,composed:!0,detail:{type:"undo"}})))}redo(){var e,t;this.undoManager.redo()&&(null===(e=this.virtualKeyboard)||void 0===e||e.executeCommand(["onUndoStateChanged",this.canUndo(),this.canRedo()]),null===(t=this.host)||void 0===t||t.dispatchEvent(new CustomEvent("undo-state-change",{bubbles:!0,composed:!0,detail:{type:"undo"}})))}_onSelectionDidChange(){var e,t,i;this.keyboardDelegate.setValue(this.model.getValue(this.model.selection,"latex-expanded"));const r=this.model.getAtoms(this.model.selection);if(1===r.length&&"placeholder"===r[0].type){const t=r[0];this.model.mathfield.placeholders.has(t.placeholderId)&&(null===(e=this.model.mathfield.placeholders.get(t.placeholderId))||void 0===e||e.field.focus())}{const e=this.model.at(this.model.position),i=null!==(t=e.mode)&&void 0!==t?t:Mf(this.options);this.mode!==i&&("latex"===this.mode?(Sm(this,"accept",{mode:i}),this.model.position=this.model.offsetOf(e)):this.switchMode(i))}null===(i=this.host)||void 0===i||i.dispatchEvent(new Event("selection-change",{bubbles:!0,composed:!0}))}onFocus(){var e,t,i;!this.focusBlurInProgress&&this.blurred&&(this.focusBlurInProgress=!0,this.blurred=!1,this.keyboardDelegate.focus(),null===(e=this.virtualKeyboard)||void 0===e||e.setOptions(this.options),null===(t=this.virtualKeyboard)||void 0===t||t.enable(),"onfocus"===this.options.virtualKeyboardMode&&this.executeCommand("showVirtualKeyboard"),Yp(this),rm(this,{interactive:!0}),null===(i=this.host)||void 0===i||i.dispatchEvent(new Event("focus",{bubbles:!1,composed:!0})),this.valueOnFocus=this.model.getValue(),this.focusBlurInProgress=!1)}onBlur(){var e,t,i;this.focusBlurInProgress||this.blurred||(this.focusBlurInProgress=!0,this.blurred=!0,this.ariaLiveText.textContent="",Sm(this,"accept"),this.model.getValue()!==this.valueOnFocus&&this.executeCommand("commit"),!(null===(e=window.mathlive)||void 0===e?void 0:e.sharedVirtualKeyboard)&&/onfocus|manual/.test(this.options.virtualKeyboardMode)&&this.executeCommand("hideVirtualKeyboard"),null===(t=this.virtualKeyboard)||void 0===t||t.disable(),null===(i=this.host)||void 0===i||i.dispatchEvent(new Event("blur",{bubbles:!1,composed:!0})),im(this),this.focusBlurInProgress=!1)}onCompositionStart(e){this.model.deleteAtoms(lm(this.model.selection)),requestAnimationFrame((()=>{rm(this);const e=Bp(this.field);e&&this.keyboardDelegate.moveTo(e.x,e.y)}))}onCompositionUpdate(e){xb(this.model,e),im(this)}onCompositionEnd(e){Ab(this.model),fw(this,e,{simulateKeystroke:!0})}onResize(){Yp(this)}onWheel(e){const t=5*e.deltaX;if(!Number.isFinite(t)||0===t)return;const i=this.field;t<0&&0===i.scrollLeft||t>0&&i.offsetWidth+i.scrollLeft>=i.scrollWidth||(i.scrollBy({top:0,left:t}),e.preventDefault(),e.stopPropagation())}}var Bw,Iw;const qw=document.createElement("template");qw.innerHTML='<style>\n:host { display: block; position: relative; overflow: hidden auto;}\n:host([hidden]) { display: none; }\n:host([disabled]) { opacity:  .5; }\n:host(:focus), :host(:focus-within) {\n  outline: Highlight auto 1px;    /* For Firefox */\n  outline: -webkit-focus-ring-color auto 1px;\n}\n:host([readonly]), :host([read-only]) { outline: none; }\n</style>\n<div></div><slot style="display:none"></slot>';const Dw=new WeakMap;class Ow extends HTMLElement{constructor(e){bs(),super(),this.attachShadow({mode:"open"}),this.shadowRoot.append(qw.content.cloneNode(!0));const t=this.shadowRoot.querySelector("slot:not([name])");this._slotValue=t.assignedNodes().map((e=>3===e.nodeType?e.textContent:"")).join("").trim(),e&&this.setOptions(e),this.shadowRoot.host.addEventListener("pointerdown",(e=>this.onPointerDown()),!0),this.shadowRoot.host.addEventListener("focus",(()=>{var e;return null===(e=this._mathfield)||void 0===e?void 0:e.focus()}),!0),this.shadowRoot.host.addEventListener("blur",(()=>{var e;return null===(e=this._mathfield)||void 0===e?void 0:e.blur()}),!0)}static get optionsAttributes(){return{"default-mode":"string","fonts-directory":"string","sounds-directory":"string","horizontal-spacing-scale":"string","math-mode-space":"string","inline-shortcut-timeout":"string","keypress-vibration":"on/off","keypress-sound":"string","plonk-sound":"string","letter-shape-style":"string",locale:"string","read-only":"boolean","remove-extraneous-parentheses":"on/off","smart-fence":"on/off","smart-mode":"on/off","smart-superscript":"on/off","speech-engine":"string","speech-engine-rate":"string","speech-engine-voice":"string","text-to-speech-markup":"string","text-to-speech-rules":"string","virtual-keyboard-layout":"string","virtual-keyboard-mode":"string","virtual-keyboard-theme":"string","virtual-keyboards":"string","use-shared-virtual-keyboard":"boolean","shared-virtual-keyboard-target-origin":"string"}}static get observedAttributes(){return[...Object.keys(Ow.optionsAttributes),"disabled","readonly","read-only"]}onPointerDown(){window.addEventListener("pointerup",(e=>{e.target===this&&this.dispatchEvent(new MouseEvent("click",{altKey:e.altKey,button:e.button,buttons:e.buttons,clientX:e.clientX,clientY:e.clientY,ctrlKey:e.ctrlKey,metaKey:e.metaKey,movementX:e.movementX,movementY:e.movementY,relatedTarget:e.relatedTarget,screenX:e.screenX,screenY:e.screenY,shiftKey:e.shiftKey}))}),{once:!0})}getPlaceholderField(e){var t;return null===(t=this._mathfield)||void 0===t?void 0:t.getPlaceholderField(e)}addEventListener(e,t,i){return super.addEventListener(e,t,i)}removeEventListener(e,t,i){super.removeEventListener(e,t,i)}get mode(){var e,t;return null!==(t=null===(e=this._mathfield)||void 0===e?void 0:e.mode)&&void 0!==t?t:"math"}set mode(e){this._mathfield&&(this._mathfield.mode=e)}get computeEngine(){if(this._mathfield)return this._mathfield.computeEngine}get expression(){if(this._mathfield)return this._mathfield.expression}get errors(){var e,t;return null!==(t=null===(e=this._mathfield)||void 0===e?void 0:e.errors)&&void 0!==t?t:[]}getOptions(e){return this._mathfield?Af(this._mathfield.options,e):Dw.has(this)?Af(xf(Sf(),Dw.get(this).options),e):null}getOption(e){return this.getOptions([e])[e]}setOptions(e){if(this._mathfield)this._mathfield.setOptions(e),this._mathfield.placeholders.forEach((t=>{t.field.setOptions({...e,virtualKeyboardMode:"onfocus",readOnly:!1})}));else if(Dw.has(this)){const t={...Dw.get(this).options,...e};Dw.set(this,{...Dw.get(this),selection:{ranges:t.readOnly?[[0,0]]:[[0,-1]]},options:t})}else Dw.set(this,{value:void 0,selection:{ranges:[[0,0]]},options:e});Fw(this)}executeCommand(e){var t,i;return null!==(i=null===(t=this._mathfield)||void 0===t?void 0:t.executeCommand(e))&&void 0!==i&&i}getValue(e,t,i){var r,n;if(this._mathfield)return this._mathfield.model.getValue(e,t,i);if(Dw.has(this)){let a,o,s;if(ab(e)?([a,o]=e.ranges[0],s=t):nb(e)?([a,o]=e,s=t):rb(e)&&rb(t)?(a=e,o=t,s=i):(a=0,o=-1,s=e),(void 0===s||"latex"===s)&&0===a&&-1===o)return null!==(n=null!==(r=Dw.get(this).value)&&void 0!==r?r:this.textContent)&&void 0!==n?n:""}return""}setValue(e,t){if(this._mathfield&&void 0!==e)return void this._mathfield.setValue(e,t);if(Dw.has(this)){const t=Dw.get(this).options;return void Dw.set(this,{value:e,selection:{ranges:t.readOnly?[[0,0]]:[[0,-1]],direction:"forward"},options:t})}const i=Pw(this);Dw.set(this,{value:e,selection:{ranges:i.readOnly?[[0,0]]:[[0,-1]],direction:"forward"},options:i})}hasFocus(){var e,t;return null!==(t=null===(e=this._mathfield)||void 0===e?void 0:e.hasFocus())&&void 0!==t&&t}get virtualKeyboardState(){var e,t;return null!==(t=null===(e=this._mathfield)||void 0===e?void 0:e.virtualKeyboardState)&&void 0!==t?t:"hidden"}set virtualKeyboardState(e){this._mathfield&&(this._mathfield.virtualKeyboardState=e)}focus(){super.focus()}blur(){var e;null===(e=this._mathfield)||void 0===e||e.blur(),super.blur()}select(){var e;null===(e=this._mathfield)||void 0===e||e.select()}insert(e,t){var i,r;return null!==(r=null===(i=this._mathfield)||void 0===i?void 0:i.insert(e,t))&&void 0!==r&&r}applyStyle(e,t){var i;return null===(i=this._mathfield)||void 0===i?void 0:i.applyStyle(e,t)}get caretPoint(){var e,t;return null!==(t=null===(e=this._mathfield)||void 0===e?void 0:e.getCaretPoint())&&void 0!==t?t:null}set caretPoint(e){var t;e&&(null===(t=this._mathfield)||void 0===t||t.setCaretPoint(e.x,e.y))}setCaretPoint(e,t){var i,r;return null!==(r=null===(i=this._mathfield)||void 0===i?void 0:i.setCaretPoint(e,t))&&void 0!==r&&r}connectedCallback(){var e,t;this.hasAttribute("role")||this.setAttribute("role","textbox"),this.setAttribute("dir","ltr"),this.hasAttribute("aria-label")||this.setAttribute("aria-label","math input field"),this.setAttribute("contenteditable","true"),this.setAttribute("aria-multiline","false"),this.hasAttribute("tabindex")||this.setAttribute("tabindex","0");const i=this.shadowRoot.querySelector("slot:not([name])");try{this._style=i.assignedElements().filter((e=>"style"===e.tagName.toLowerCase())).map((e=>e.textContent)).join("")}catch(n){console.log(n)}if(this._style){const e=document.createElement("style");e.textContent=this._style,this.shadowRoot.appendChild(e)}try{const e=i.assignedElements().filter((e=>"script"===e.tagName.toLowerCase()&&"application/json"===e.type)).map((e=>e.textContent)).join("");e&&this.setOptions(JSON.parse(e))}catch(n){console.log(n)}let r="";if(r=this.hasAttribute("value")?null!==(e=this.getAttribute("value"))&&void 0!==e?e:"":null!==(t=null===i||void 0===i?void 0:i.assignedNodes().map((e=>3===e.nodeType?e.textContent:"")).join("").trim())&&void 0!==t?t:"",this._mathfield=new Tw(this.shadowRoot.querySelector(":host > 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xz=/^[₊₋₌₍₎₀₁₂₃₄₅₆₇₈₉ₐₑₕᵢⱼₖₗₘₙₒₚᵣₛₜᵤᵥₓᵦᵧᵨᵩᵪ]/,Az=Object.freeze({"₊":"+","₋":"-","₌":"=","₍":"(","₎":")","₀":"0","₁":"1","₂":"2","₃":"3","₄":"4","₅":"5","₆":"6","₇":"7","₈":"8","₉":"9","ₐ":"a","ₑ":"e","ₕ":"h","ᵢ":"i","ⱼ":"j","ₖ":"k","ₗ":"l","ₘ":"m","ₙ":"n","ₒ":"o","ₚ":"p","ᵣ":"r","ₛ":"s","ₜ":"t","ᵤ":"u","ᵥ":"v","ₓ":"x","ᵦ":"β","ᵧ":"γ","ᵨ":"ρ","ᵩ":"ϕ","ᵪ":"χ","⁺":"+","⁻":"-","⁼":"=","⁽":"(","⁾":")","⁰":"0","¹":"1","²":"2","³":"3","⁴":"4","⁵":"5","⁶":"6","⁷":"7","⁸":"8","⁹":"9","ᴬ":"A","ᴮ":"B","ᴰ":"D","ᴱ":"E","ᴳ":"G","ᴴ":"H","ᴵ":"I","ᴶ":"J","ᴷ":"K","ᴸ":"L","ᴹ":"M","ᴺ":"N","ᴼ":"O","ᴾ":"P","ᴿ":"R","ᵀ":"T","ᵁ":"U","ⱽ":"V","ᵂ":"W","ᵃ":"a","ᵇ":"b","ᶜ":"c","ᵈ":"d","ᵉ":"e","ᶠ":"f","ᵍ":"g","ʰ":"h","ⁱ":"i","ʲ":"j","ᵏ":"k","ˡ":"l","ᵐ":"m","ⁿ":"n","ᵒ":"o","ᵖ":"p","ʳ":"r","ˢ":"s","ᵗ":"t","ᵘ":"u","ᵛ":"v","ʷ":"w","ˣ":"x","ʸ":"y","ᶻ":"z","ᵝ":"β","ᵞ":"γ","ᵟ":"δ","ᵠ":"ϕ","ᵡ":"χ","ᶿ":"θ"}),kz={"́":{text:"\\'",math:"\\acute"},"̀":{text:"\\`",math:"\\grave"},"̈":{text:'\\"',math:"\\ddot"},"̃":{text:"\\~",math:"\\tilde"},"̄":{text:"\\=",math:"\\bar"},"̆":{text:"\\u",math:"\\breve"},"̌":{text:"\\v",math:"\\check"},"̂":{text:"\\^",math:"\\hat"},"̇":{text:"\\.",math:"\\dot"},"̊":{text:"\\r",math:"\\mathring"},"̋":{text:"\\H"},"̧":{text:"\\c"}},Sz={"á":"á","à":"à","ä":"ä","ǟ":"ǟ","ã":"ã","ā":"ā","ă":"ă","ắ":"ắ","ằ":"ằ","ẵ":"ẵ","ǎ":"ǎ","â":"â","ấ":"ấ","ầ":"ầ","ẫ":"ẫ","ȧ":"ȧ","ǡ":"ǡ","å":"å","ǻ":"ǻ","ḃ":"ḃ","ć":"ć","ḉ":"ḉ","č":"č","ĉ":"ĉ","ċ":"ċ","ç":"ç","ď":"ď","ḋ":"ḋ","ḑ":"ḑ","é":"é","è":"è","ë":"ë","ẽ":"ẽ","ē":"ē","ḗ":"ḗ","ḕ":"ḕ","ĕ":"ĕ","ḝ":"ḝ","ě":"ě","ê":"ê","ế":"ế","ề":"ề","ễ":"ễ","ė":"ė","ȩ":"ȩ","ḟ":"ḟ","ǵ":"ǵ","ḡ":"ḡ","ğ":"ğ","ǧ":"ǧ","ĝ":"ĝ","ġ":"ġ","ģ":"ģ","ḧ":"ḧ","ȟ":"ȟ","ĥ":"ĥ","ḣ":"ḣ","ḩ":"ḩ","í":"í","ì":"ì","ï":"ï","ḯ":"ḯ","ĩ":"ĩ","ī":"ī","ĭ":"ĭ","ǐ":"ǐ","î":"î","ǰ":"ǰ","ĵ":"ĵ","ḱ":"ḱ","ǩ":"ǩ","ķ":"ķ","ĺ":"ĺ","ľ":"ľ","ļ":"ļ","ḿ":"ḿ","ṁ":"ṁ","ń":"ń","ǹ":"ǹ","ñ":"ñ","ň":"ň","ṅ":"ṅ","ņ":"ņ","ó":"ó","ò":"ò","ö":"ö","ȫ":"ȫ","õ":"õ","ṍ":"ṍ","ṏ":"ṏ","ȭ":"ȭ","ō":"ō","ṓ":"ṓ","ṑ":"ṑ","ŏ":"ŏ","ǒ":"ǒ","ô":"ô","ố":"ố","ồ":"ồ","ỗ":"ỗ","ȯ":"ȯ","ȱ":"ȱ","ő":"ő","ṕ":"ṕ","ṗ":"ṗ","ŕ":"ŕ","ř":"ř","ṙ":"ṙ","ŗ":"ŗ","ś":"ś","ṥ":"ṥ","š":"š","ṧ":"ṧ","ŝ":"ŝ","ṡ":"ṡ","ş":"ş","ẗ":"ẗ","ť":"ť","ṫ":"ṫ","ţ":"ţ","ú":"ú","ù":"ù","ü":"ü","ǘ":"ǘ","ǜ":"ǜ","ǖ":"ǖ","ǚ":"ǚ","ũ":"ũ","ṹ":"ṹ","ū":"ū","ṻ":"ṻ","ŭ":"ŭ","ǔ":"ǔ","û":"û","ů":"ů","ű":"ű","ṽ":"ṽ","ẃ":"ẃ","ẁ":"ẁ","ẅ":"ẅ","ŵ":"ŵ","ẇ":"ẇ","ẘ":"ẘ","ẍ":"ẍ","ẋ":"ẋ","ý":"ý","ỳ":"ỳ","ÿ":"ÿ","ỹ":"ỹ","ȳ":"ȳ","ŷ":"ŷ","ẏ":"ẏ","ẙ":"ẙ","ź":"ź","ž":"ž","ẑ":"ẑ","ż":"ż","Á":"Á","À":"À","Ä":"Ä","Ǟ":"Ǟ","Ã":"Ã","Ā":"Ā","Ă":"Ă","Ắ":"Ắ","Ằ":"Ằ","Ẵ":"Ẵ","Ǎ":"Ǎ","Â":"Â","Ấ":"Ấ","Ầ":"Ầ","Ẫ":"Ẫ","Ȧ":"Ȧ","Ǡ":"Ǡ","Å":"Å","Ǻ":"Ǻ","Ḃ":"Ḃ","Ć":"Ć","Ḉ":"Ḉ","Č":"Č","Ĉ":"Ĉ","Ċ":"Ċ","Ç":"Ç","Ď":"Ď","Ḋ":"Ḋ","Ḑ":"Ḑ","É":"É","È":"È","Ë":"Ë","Ẽ":"Ẽ","Ē":"Ē","Ḗ":"Ḗ","Ḕ":"Ḕ","Ĕ":"Ĕ","Ḝ":"Ḝ","Ě":"Ě","Ê":"Ê","Ế":"Ế","Ề":"Ề","Ễ":"Ễ","Ė":"Ė","Ȩ":"Ȩ","Ḟ":"Ḟ","Ǵ":"Ǵ","Ḡ":"Ḡ","Ğ":"Ğ","Ǧ":"Ǧ","Ĝ":"Ĝ","Ġ":"Ġ","Ģ":"Ģ","Ḧ":"Ḧ","Ȟ":"Ȟ","Ĥ":"Ĥ","Ḣ":"Ḣ","Ḩ":"Ḩ","Í":"Í","Ì":"Ì","Ï":"Ï","Ḯ":"Ḯ","Ĩ":"Ĩ","Ī":"Ī","Ĭ":"Ĭ","Ǐ":"Ǐ","Î":"Î","İ":"İ","Ĵ":"Ĵ","Ḱ":"Ḱ","Ǩ":"Ǩ","Ķ":"Ķ","Ĺ":"Ĺ","Ľ":"Ľ","Ļ":"Ļ","Ḿ":"Ḿ","Ṁ":"Ṁ","Ń":"Ń","Ǹ":"Ǹ","Ñ":"Ñ","Ň":"Ň","Ṅ":"Ṅ","Ņ":"Ņ","Ó":"Ó","Ò":"Ò","Ö":"Ö","Ȫ":"Ȫ","Õ":"Õ","Ṍ":"Ṍ","Ṏ":"Ṏ","Ȭ":"Ȭ","Ō":"Ō","Ṓ":"Ṓ","Ṑ":"Ṑ","Ŏ":"Ŏ","Ǒ":"Ǒ","Ô":"Ô","Ố":"Ố","Ồ":"Ồ","Ỗ":"Ỗ","Ȯ":"Ȯ","Ȱ":"Ȱ","Ő":"Ő","Ṕ":"Ṕ","Ṗ":"Ṗ","Ŕ":"Ŕ","Ř":"Ř","Ṙ":"Ṙ","Ŗ":"Ŗ","Ś":"Ś","Ṥ":"Ṥ","Š":"Š","Ṧ":"Ṧ","Ŝ":"Ŝ","Ṡ":"Ṡ","Ş":"Ş","Ť":"Ť","Ṫ":"Ṫ","Ţ":"Ţ","Ú":"Ú","Ù":"Ù","Ü":"Ü","Ǘ":"Ǘ","Ǜ":"Ǜ","Ǖ":"Ǖ","Ǚ":"Ǚ","Ũ":"Ũ","Ṹ":"Ṹ","Ū":"Ū","Ṻ":"Ṻ","Ŭ":"Ŭ","Ǔ":"Ǔ","Û":"Û","Ů":"Ů","Ű":"Ű","Ṽ":"Ṽ","Ẃ":"Ẃ","Ẁ":"Ẁ","Ẅ":"Ẅ","Ŵ":"Ŵ","Ẇ":"Ẇ","Ẍ":"Ẍ","Ẋ":"Ẋ","Ý":"Ý","Ỳ":"Ỳ","Ÿ":"Ÿ","Ỹ":"Ỹ","Ȳ":"Ȳ","Ŷ":"Ŷ","Ẏ":"Ẏ","Ź":"Ź","Ž":"Ž","Ẑ":"Ẑ","Ż":"Ż","ά":"ά","ὰ":"ὰ","ᾱ":"ᾱ","ᾰ":"ᾰ","έ":"έ","ὲ":"ὲ","ή":"ή","ὴ":"ὴ","ί":"ί","ὶ":"ὶ","ϊ":"ϊ","ΐ":"ΐ","ῒ":"ῒ","ῑ":"ῑ","ῐ":"ῐ","ό":"ό","ὸ":"ὸ","ύ":"ύ","ὺ":"ὺ","ϋ":"ϋ","ΰ":"ΰ","ῢ":"ῢ","ῡ":"ῡ","ῠ":"ῠ","ώ":"ώ","ὼ":"ὼ","Ύ":"Ύ","Ὺ":"Ὺ","Ϋ":"Ϋ","Ῡ":"Ῡ","Ῠ":"Ῠ","Ώ":"Ώ","Ὼ":"Ὼ"};class Mz{constructor(e,t){this.mode=void 0,this.gullet=void 0,this.settings=void 0,this.leftrightDepth=void 0,this.nextToken=void 0,this.mode="math",this.gullet=new wz(e,t,this.mode),this.settings=t,this.leftrightDepth=0}expect(e,t){if(void 0===t&&(t=!0),this.fetch().text!==e)throw new Lx("Expected '"+e+"', got '"+this.fetch().text+"'",this.fetch());t&&this.consume()}consume(){this.nextToken=null}fetch(){return null==this.nextToken&&(this.nextToken=this.gullet.expandNextToken()),this.nextToken}switchMode(e){this.mode=e,this.gullet.switchMode(e)}parse(){this.settings.globalGroup||this.gullet.beginGroup(),this.settings.colorIsTextColor&&this.gullet.macros.set("\\color","\\textcolor");try{var e=this.parseExpression(!1);return this.expect("EOF"),this.settings.globalGroup||this.gullet.endGroup(),e}finally{this.gullet.endGroups()}}subparse(e){var t=this.nextToken;this.consume(),this.gullet.pushToken(new zx("}")),this.gullet.pushTokens(e);var i=this.parseExpression(!1);return this.expect("}"),this.nextToken=t,i}parseExpression(e,t){var i=[];while(1){"math"===this.mode&&this.consumeSpaces();var r=this.fetch();if(-1!==Mz.endOfExpression.indexOf(r.text))break;if(t&&r.text===t)break;if(e&&tz[r.text]&&tz[r.text].infix)break;var n=this.parseAtom(t);if(!n)break;"internal"!==n.type&&i.push(n)}return"text"===this.mode&&this.formLigatures(i),this.handleInfixNodes(i)}handleInfixNodes(e){for(var t,i=-1,r=0;r<e.length;r++)if("infix"===e[r].type){if(-1!==i)throw new Lx("only one infix operator per group",e[r].token);i=r,t=e[r].replaceWith}if(-1!==i&&t){var n,a,o,s=e.slice(0,i),l=e.slice(i+1);return n=1===s.length&&"ordgroup"===s[0].type?s[0]:{type:"ordgroup",mode:this.mode,body:s},a=1===l.length&&"ordgroup"===l[0].type?l[0]:{type:"ordgroup",mode:this.mode,body:l},o="\\\\abovefrac"===t?this.callFunction(t,[n,e[i],a],[]):this.callFunction(t,[n,a],[]),[o]}return e}handleSupSubscript(e){var t=this.fetch(),i=t.text;this.consume(),this.consumeSpaces();var r=this.parseGroup(e);if(!r)throw new Lx("Expected group after '"+i+"'",t);return r}formatUnsupportedCmd(e){for(var t=[],i=0;i<e.length;i++)t.push({type:"textord",mode:"text",text:e[i]});var r={type:"text",mode:this.mode,body:t},n={type:"color",mode:this.mode,color:this.settings.errorColor,body:[r]};return n}parseAtom(e){var t,i,r=this.parseGroup("atom",e);if("text"===this.mode)return r;while(1){this.consumeSpaces();var n=this.fetch();if("\\limits"===n.text||"\\nolimits"===n.text){if(r&&"op"===r.type){var a="\\limits"===n.text;r.limits=a,r.alwaysHandleSupSub=!0}else{if(!r||"operatorname"!==r.type)throw new Lx("Limit controls must follow a math operator",n);r.alwaysHandleSupSub&&(r.limits="\\limits"===n.text)}this.consume()}else if("^"===n.text){if(t)throw new Lx("Double superscript",n);t=this.handleSupSubscript("superscript")}else if("_"===n.text){if(i)throw new Lx("Double subscript",n);i=this.handleSupSubscript("subscript")}else if("'"===n.text){if(t)throw new Lx("Double superscript",n);var o={type:"textord",mode:this.mode,text:"\\prime"},s=[o];this.consume();while("'"===this.fetch().text)s.push(o),this.consume();"^"===this.fetch().text&&s.push(this.handleSupSubscript("superscript")),t={type:"ordgroup",mode:this.mode,body:s}}else{if(!Az[n.text])break;var l=Az[n.text],u=xz.test(n.text);this.consume();while(1){var c=this.fetch().text;if(!Az[c])break;if(xz.test(c)!==u)break;this.consume(),l+=Az[c]}var h=new Mz(l,this.settings).parse();u?i={type:"ordgroup",mode:"math",body:h}:t={type:"ordgroup",mode:"math",body:h}}}return t||i?{type:"supsub",mode:this.mode,base:r,sup:t,sub:i}:r}parseFunction(e,t){var i=this.fetch(),r=i.text,n=tz[r];if(!n)return null;if(this.consume(),t&&"atom"!==t&&!n.allowedInArgument)throw new Lx("Got function '"+r+"' with no arguments"+(t?" as "+t:""),i);if("text"===this.mode&&!n.allowedInText)throw new Lx("Can't use function '"+r+"' in text mode",i);if("math"===this.mode&&!1===n.allowedInMath)throw new Lx("Can't use function '"+r+"' in math mode",i);var{args:a,optArgs:o}=this.parseArguments(r,n);return this.callFunction(r,a,o,i,e)}callFunction(e,t,i,r,n){var a={funcName:e,parser:this,token:r,breakOnTokenText:n},o=tz[e];if(o&&o.handler)return o.handler(a,t,i);throw new Lx("No function handler for "+e)}parseArguments(e,t){var i=t.numArgs+t.numOptionalArgs;if(0===i)return{args:[],optArgs:[]};for(var r=[],n=[],a=0;a<i;a++){var o=t.argTypes&&t.argTypes[a],s=a<t.numOptionalArgs;(t.primitive&&null==o||"sqrt"===t.type&&1===a&&null==n[0])&&(o="primitive");var l=this.parseGroupOfType("argument to '"+e+"'",o,s);if(s)n.push(l);else{if(null==l)throw new Lx("Null argument, please report this as a bug");r.push(l)}}return{args:r,optArgs:n}}parseGroupOfType(e,t,i){switch(t){case"color":return this.parseColorGroup(i);case"size":return this.parseSizeGroup(i);case"url":return this.parseUrlGroup(i);case"math":case"text":return this.parseArgumentGroup(i,t);case"hbox":var r=this.parseArgumentGroup(i,"text");return null!=r?{type:"styling",mode:r.mode,body:[r],style:"text"}:null;case"raw":var n=this.parseStringGroup("raw",i);return null!=n?{type:"raw",mode:"text",string:n.text}:null;case"primitive":if(i)throw new Lx("A primitive argument cannot be optional");var a=this.parseGroup(e);if(null==a)throw new Lx("Expected group as "+e,this.fetch());return a;case"original":case null:case void 0:return this.parseArgumentGroup(i);default:throw new Lx("Unknown group type as "+e,this.fetch())}}consumeSpaces(){while(" "===this.fetch().text)this.consume()}parseStringGroup(e,t){var i=this.gullet.scanArgument(t);if(null==i)return null;var r,n="";while("EOF"!==(r=this.fetch()).text)n+=r.text,this.consume();return this.consume(),i.text=n,i}parseRegexGroup(e,t){var i,r=this.fetch(),n=r,a="";while("EOF"!==(i=this.fetch()).text&&e.test(a+i.text))n=i,a+=n.text,this.consume();if(""===a)throw new Lx("Invalid "+t+": '"+r.text+"'",r);return r.range(n,a)}parseColorGroup(e){var t=this.parseStringGroup("color",e);if(null==t)return null;var i=/^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(t.text);if(!i)throw new Lx("Invalid color: '"+t.text+"'",t);var r=i[0];return/^[0-9a-f]{6}$/i.test(r)&&(r="#"+r),{type:"color-token",mode:this.mode,color:r}}parseSizeGroup(e){var t,i=!1;if(this.gullet.consumeSpaces(),t=e||"{"===this.gullet.future().text?this.parseStringGroup("size",e):this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/,"size"),!t)return null;e||0!==t.text.length||(t.text="0pt",i=!0);var r=/([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(t.text);if(!r)throw new Lx("Invalid size: '"+t.text+"'",t);var n={number:+(r[1]+r[2]),unit:r[3]};if(!DA(n))throw new Lx("Invalid unit: '"+n.unit+"'",t);return{type:"size",mode:this.mode,value:n,isBlank:i}}parseUrlGroup(e){this.gullet.lexer.setCatcode("%",13),this.gullet.lexer.setCatcode("~",12);var t=this.parseStringGroup("url",e);if(this.gullet.lexer.setCatcode("%",14),this.gullet.lexer.setCatcode("~",13),null==t)return null;var i=t.text.replace(/\\([#$%&~_^{}])/g,"$1");return{type:"url",mode:this.mode,url:i}}parseArgumentGroup(e,t){var i=this.gullet.scanArgument(e);if(null==i)return null;var r=this.mode;t&&this.switchMode(t),this.gullet.beginGroup();var n=this.parseExpression(!1,"EOF");this.expect("EOF"),this.gullet.endGroup();var a={type:"ordgroup",mode:this.mode,loc:i.loc,body:n};return t&&this.switchMode(r),a}parseGroup(e,t){var i,r=this.fetch(),n=r.text;if("{"===n||"\\begingroup"===n){this.consume();var a="{"===n?"}":"\\endgroup";this.gullet.beginGroup();var o=this.parseExpression(!1,a),s=this.fetch();this.expect(a),this.gullet.endGroup(),i={type:"ordgroup",mode:this.mode,loc:Nx.range(r,s),body:o,semisimple:"\\begingroup"===n||void 0}}else if(i=this.parseFunction(t,e)||this.parseSymbol(),null==i&&"\\"===n[0]&&!bz.hasOwnProperty(n)){if(this.settings.throwOnError)throw new Lx("Undefined control sequence: "+n,r);i=this.formatUnsupportedCmd(n),this.consume()}return i}formLigatures(e){for(var t=e.length-1,i=0;i<t;++i){var r=e[i],n=r.text;"-"===n&&"-"===e[i+1].text&&(i+1<t&&"-"===e[i+2].text?(e.splice(i,3,{type:"textord",mode:"text",loc:Nx.range(r,e[i+2]),text:"---"}),t-=2):(e.splice(i,2,{type:"textord",mode:"text",loc:Nx.range(r,e[i+1]),text:"--"}),t-=1)),"'"!==n&&"`"!==n||e[i+1].text!==n||(e.splice(i,2,{type:"textord",mode:"text",loc:Nx.range(r,e[i+1]),text:n+n}),t-=1)}}parseSymbol(){var e=this.fetch(),t=e.text;if(/^\\verb[^a-zA-Z]/.test(t)){this.consume();var i=t.slice(5),r="*"===i.charAt(0);if(r&&(i=i.slice(1)),i.length<2||i.charAt(0)!==i.slice(-1))throw new Lx("\\verb assertion failed --\n                    please report what input caused this bug");return i=i.slice(1,-1),{type:"verb",mode:"text",body:i,star:r}}Sz.hasOwnProperty(t[0])&&!tk[this.mode][t[0]]&&(this.settings.strict&&"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",'Accented Unicode text character "'+t[0]+'" used in math mode',e),t=Sz[t[0]]+t.substr(1));var n,a=lz.exec(t);if(a&&(t=t.substring(0,a.index),"i"===t?t="ı":"j"===t&&(t="ȷ")),tk[this.mode][t]){this.settings.strict&&"math"===this.mode&&Bk.indexOf(t)>=0&&this.settings.reportNonstrict("unicodeTextInMathMode",'Latin-1/Unicode text character "'+t[0]+'" used in math mode',e);var o,s=tk[this.mode][t].group,l=Nx.range(e);if($A.hasOwnProperty(s)){var u=s;o={type:"atom",mode:this.mode,family:u,loc:l,text:t}}else o={type:s,mode:this.mode,loc:l,text:t};n=o}else{if(!(t.charCodeAt(0)>=128))return null;this.settings.strict&&(cA(t.charCodeAt(0))?"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",'Unicode text character "'+t[0]+'" used in math mode',e):this.settings.reportNonstrict("unknownSymbol",'Unrecognized Unicode character "'+t[0]+'" ('+t.charCodeAt(0)+")",e)),n={type:"textord",mode:"text",loc:Nx.range(e),text:t}}if(this.consume(),a)for(var c=0;c<a[0].length;c++){var h=a[0][c];if(!kz[h])throw new Lx("Unknown accent ' "+h+"'",e);var d=kz[h][this.mode]||kz[h].text;if(!d)throw new Lx("Accent "+h+" unsupported in "+this.mode+" mode",e);n={type:"accent",mode:this.mode,loc:Nx.range(e),label:d,isStretchy:!1,isShifty:!0,base:n}}return n}}Mz.endOfExpression=["}","\\endgroup","\\end","\\right","&"];var Nz=function(e,t){if(!("string"===typeof e||e instanceof String))throw new TypeError("KaTeX can only parse string typed expression");var i=new Mz(e,t);delete i.gullet.macros.current["\\df@tag"];var r=i.parse();if(delete i.gullet.macros.current["\\current@color"],delete i.gullet.macros.current["\\color"],i.gullet.macros.get("\\df@tag")){if(!t.displayMode)throw new Lx("\\tag works only in display 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