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O7i;for(g=new ynd(b.d);g.a0||XKi(g.a[1])){return 1}return 0;}}return 0}\nfunction Uwi(a,b,c,d,e){Ewi();var f,g,h,i,j,k;if(ff(a,201)&&ff(b,654)){j=a;i=b;if(zMi(j,(Aij(),pgj))){k=j.a[0];k.U2(++e[0]);if(Nwi(k,i.a,i.c,c)){h=jKi(j.a[0]);h.U2(e[0]);exi(d,new qxi((QBi(),zzi),pe(ie(brb,1),b3n,135,0,[k,b])));return h}exi(d,new qxi((QBi(),Bzi),pe(ie(brb,1),b3n,135,0,[k,b])));return k}g=me(pub,c3n,136,j.a.length,0,1);for(f=0;f0&&(h.a+=' & ',h);d>1&&(h.a+=' \\\\; & ',h);Yid(h,a.a[d].G2(b))}h.a+=R$m;h.a+=' \\\\hline ';for(g=new ynd(a.b);g.a0){return 1}e=1;c=0;while(Ltc(Stc(f,2),0)){++c;f=Ktc(f,2)}e=pf(e*$wnd.Math.pow(2,auc($tc(c,Stc(c,g)))));for(d=3;Itc(d,f)<0;d+=2){c=0;while(Ltc(Stc(f,d),0)){++c;f=Ktc(f,d)}e=pf(e*$wnd.Math.pow(d,auc($tc(c,Stc(c,g)))))}return e}return 1}\nfunction TLi(a,b,c,d){var e;e=a.i3(nKi(a.c,ILi(auc(b))),nKi(a.d,ILi(auc(b))));exi(c,new oxi((QBi(),uzi)));Esd(c.c,c.a);c.a=c.b;Itc(b,2)==0?exi(c,new oxi(mBi)):exi(c,new qxi(rAi,pe(ie(brb,1),b3n,135,0,[ILi(auc(b))])));Esd(c.c,c.a);c.a=c.b;exi(c,new qxi(Nyi,pe(ie(brb,1),b3n,135,0,[e])));e=nEi((cEi(),e),c,new gIi);c.b=c.a=Dsd(c.c);exi(c,new qxi(Nyi,pe(ie(brb,1),b3n,135,0,[e])));c.b=c.a=Dsd(c.c);Ltc(Stc(b,2),0)&&(d.e=true);return e}\nfunction eGi(a,b,c,d){var e;e=new snd;if(jLi(a.c)>0&&jLi(a.d)<0){if(a.a){exi(c,new qxi((QBi(),kAi),pe(ie(brb,1),b3n,135,0,[b])))}else{exi(c,new qxi((QBi(),mAi),pe(ie(brb,1),b3n,135,0,[b])));bnd(e,eNi(b,YIi(d),d))}return new qIi(e)}if(jLi(a.c)<0&&jLi(a.d)>0){if(a.a){exi(c,new qxi((QBi(),Szi),pe(ie(brb,1),b3n,135,0,[b])));bnd(e,eNi(b,YIi(d),d))}else{exi(c,new qxi((QBi(),Rzi),pe(ie(brb,1),b3n,135,0,[b])))}return new qIi(e)}return null}\nfunction MKi(a,b){var c,d,e,f,g,h;if(!b){return null}if(a.e3()&&b.e3()){if(a.n_()3||l==0){return null}i=a;j>f&&(i=i.o3());if(l==1){g=Lwi(i.c,(Ewi(),Bwi));i=KLi(i,g,c);i=TLi(i,2,c,d)}if(l==2){e=gLi(rKi(i.c,i.d),null);if(!eKi(Lwi(e,(Ewi(),Bwi)))){k=Jwi(i.d,Bwi);i=KLi(i,k,c);g=Lwi(i.c,Bwi);i=KLi(i,g,c);i=TLi(i,2,c,d)}}if(l==3){g=Lwi(i.c,(Ewi(),Bwi));i=KLi(i,g,c);while(EKi(i.d,(Aij(),Thj),b)>1){h=Mwi(i.d,Thj);i=KLi(i,h,c)}if(EKi(i.c,Thj,b)==3){h=Mwi(i.c,Thj);i=KLi(i,h,c)}i=TLi(i,2,c,d)}return new rIi(i)}\nfunction bJi(a,b,c,d,e){var f,g,h,i,j,k,l,m;f=new mxi;m=new mxi;g=null;h=a;do{e.a=false;e.b=1;for(j=c,k=0,l=j.length;k1){!!Mwj&&Nwj(Mwj,(dxj(),Ywj),k4n+i);!!Mwj&&Nwj(Mwj,(dxj(),Ywj),'from: '+h);!!Mwj&&Nwj(Mwj,(dxj(),Ywj),'to: '+g);i.M2()?fxi(m,kxi(f)):jxi(m,h,g,f)}if(e.a||e.b>1){h=g;h.U2(0);lxi(f);break}}}while(e.a||e.b>1);a.U2(0);if(!Vb(a,g)){g.U2(0);!!d&&!!b?hxi(d,b,m,g,pe(ie(brb,1),b3n,135,0,[])):!!d&&fxi(d,kxi(m));++e.b;return g}return a}\nfunction mCi(){mCi=muc;jCi=new nCi('POSITIVE',0,'+');iCi=new nCi('NEGATIVE',1,'-');gCi=new nCi('INCREASING',2,'\\\\nearrow');fCi=new nCi('DECREASING',3,'\\\\searrow');cCi=new nCi('CONVEX',4,'\\\\smile');_Bi=new nCi('CONCAVE',5,'\\\\frown');eCi=new nCi('CONVEX_INCREASING',6,'\\u2934');dCi=new nCi('CONVEX_DECREASING',7,'\\u2937');bCi=new nCi('CONCAVE_INCREASING',8,'\\\\rotatebox{90}{\\u2935}');aCi=new nCi('CONCAVE_DECREASING',9,'\\u2935');hCi=new nCi('INVALID',10,'|');lCi=new nCi('ZERO',11,'0');kCi=new nCi('VSPACE',12,' \\\\; ')}\nfunction Gwi(a,b,c){Ewi();var d,e,f,g,h,i,j,k;f=me(pub,c3n,136,1+b.r.length,0,1);f[0]=a;for(h=0;h0){return -1}return a.a[0].Y2(b);case 20:c=0;for(f=new LMi(a);f.ac&&(c=i)}return c;case 28:h=a.a[0].Y2(b);if(h!=-1&&a.a[1].d3()){return pf(h*a.a[1].n_())}return -1;case 24:if(EKi(a,(Aij(),Xhj),b)>0){return -1}g=0;for(e=new LMi(a);e.a0){exi(c,new qxi((QBi(),Fzi),pe(ie(brb,1),b3n,135,0,[e,a.c,b])));a.a||bnd(i,eNi(b,YIi(d),d))}else if(e.W2()){exi(c,new qxi((QBi(),Ezi),pe(ie(brb,1),b3n,135,0,[e,a.c,b])));a.a&&bnd(i,eNi(b,YIi(d),d))}else{a.a?WIi(d,new gMi(e,ILi(0),false,true)):WIi(d,new gMi(e,ILi(0),true,true));bnd(i,eNi(b,YIi(d),d))}return new qIi(i)}k=aNi(j.getAtIndex(0));l=aNi(j.getAtIndex(1));g=lKi(e,lKi(MJi(b,PJi((Aij(),Mhj),k)),MJi(b,PJi(Mhj,l))));h=eMi(a,g,a.d);ixi(c,a,h,(QBi(),ozi),pe(ie(brb,1),b3n,135,0,[]));return new rIi(h)}\nfunction eLi(a,b){var c,d,e,f,g,h,i,j,k,l,m,n,o;if(!b){return a}if(a.d3()&&b.d3()){return ILi($wnd.Math.floor(a.n_()/b.n_()))}if(Vb(a,b)){return ILi(1)}if(a.tv((Aij(),Xhj))){l=null;for(j=new LMi(a);j.a1){for(h=new ynd(i);h.aUbn){exi(c,new qxi((QBi(),Zzi),pe(ie(brb,1),b3n,135,0,[h,b])));return new pIi}}else{WIi(d,new gMi(cLi(WJi((DLi(),ALi),ILi(2))),a.d,true,false));WIi(d,new gMi(a.d,WJi(ALi,ILi(2)),true,false))}}else if(zMi(h,xgj)){if(a.d.W2()){if(a.d.n_()<0||a.d.n_()>Vbn){exi(c,new qxi((QBi(),Yzi),pe(ie(brb,1),b3n,135,0,[h,b])));return new pIi}}else{WIi(d,new gMi(ILi(0),a.d,true,false));WIi(d,new gMi(a.d,(DLi(),ALi),true,false))}}else{if(a.d.W2()){if(a.d.n_()Ubn){exi(c,new qxi((QBi(),$zi),pe(ie(brb,1),b3n,135,0,[h,b])));return new pIi}}else{WIi(d,new gMi(cLi(WJi((DLi(),ALi),ILi(2))),a.d,true,false));WIi(d,new gMi(a.d,WJi(ALi,ILi(2)),true,false))}}g=lLi(h.b);e=h.a[0];f=PJi(g,a.d);return new rIi(YLi(a,e,f))}\nfunction EDi(a,b,c,d){var e,f,g,h,i,j,k,l,m,n,o,p,q,r,s;h=NLi(a,b);if(h%2!=0||!eKi(a.d)){return null}for(i=1;ii&&(f.a+=Hid(me(sf,yXm,5,-i,15,1)));h=j.a.length;0h&&(j.a+=Hid(me(sf,yXm,5,-h,15,1)))}else{if(j.a.length!=0){bnd(l,new pCi(j.a));i=j.a.length;0i&&(j.a+=Hid(me(sf,yXm,5,-i,15,1)));h=f.a.length;0h&&(f.a+=Hid(me(sf,yXm,5,-h,15,1)))}}g=!g}else if(d==37){++e;k=(gxd(e,a.length),a.charCodeAt(e)-48);if(g){if(k>=0&&kh&&(j.a+=Hid(me(sf,yXm,5,-h,15,1)))}k>=0&&k0)&&WIi(d,new gMi(h,ILi(0),false,false));j=WJi(MJi(PJi(Mhj,f),oKi(h,ILi(2))),lKi(ILi(2),e));k=WJi(rKi(PJi(Mhj,f),oKi(h,ILi(2))),lKi(ILi(2),e));bnd(l,eNi(b,uKi(j),d));bnd(l,eNi(b,uKi(k),d));return new qIi(l)}\nfunction kEi(a,b,c){var d,e,f;f=a.a[0];for(e=new LMi(f);e.a1){for(g=new ynd(h);g.a0&&eKi(a.d)){if(a.a){if(a.b){exi(c,new qxi((QBi(),jAi),pe(ie(brb,1),b3n,135,0,[b])))}else{g=new cMi(a.c,a.d);exi(c,new qxi((QBi(),iAi),pe(ie(brb,1),b3n,135,0,[g])));return new qIi(aMi(g,b,c,new _Ii))}}else{if(a.b){g=new cMi(a.c,a.d);exi(c,new qxi((QBi(),hAi),pe(ie(brb,1),b3n,135,0,[g])));e=aMi(g,b,c,new _Ii);f=new RMi(pe(ie(pub,1),c3n,136,0,[]));for(i=e.lf();i.Ti();){h=i.Ui();NMi(f,aNi(h))}bnd(j,eNi(b,sKi(YIi(d),f),d))}else{exi(c,new qxi((QBi(),gAi),pe(ie(brb,1),b3n,135,0,[b])));bnd(j,eNi(b,YIi(d),d))}}return new qIi(j)}if(eKi(a.c)&&jLi(a.d)>0){if(a.a){if(a.b){g=new cMi(a.c,a.d);exi(c,new qxi((QBi(),PBi),pe(ie(brb,1),b3n,135,0,[g])));e=aMi(g,b,c,new _Ii);f=new RMi(pe(ie(pub,1),c3n,136,0,[]));for(i=e.lf();i.Ti();){h=i.Ui();NMi(f,aNi(h))}bnd(j,eNi(b,sKi(YIi(d),f),d))}else{exi(c,new qxi((QBi(),OBi),pe(ie(brb,1),b3n,135,0,[b])));bnd(j,eNi(b,YIi(d),d))}}else{if(a.b){exi(c,new qxi((QBi(),MBi),pe(ie(brb,1),b3n,135,0,[b])))}else{g=new cMi(a.c,a.d);exi(c,new qxi((QBi(),LBi),pe(ie(brb,1),b3n,135,0,[g])));return new qIi(aMi(g,b,c,new _Ii))}}return new qIi(j)}return null}\nfunction pDi(a,b,c,d){var e,f,g,h,i,j,k,l,m,n,o,p,q;if(!yKi(a.c)||!a.d.c3(b)){return null}q=a.c;if(q.b!=(Aij(),rij)){if(a.d.W2()){if(a.d.n_()<-1||a.d.n_()>1){exi(c,new qxi((QBi(),_zi),pe(ie(brb,1),b3n,135,0,[q,b])));return new pIi}}else{WIi(d,new gMi(ILi(-1),a.d,true,false));WIi(d,new gMi(a.d,ILi(1),true,false))}}j=lLi(q.b);h=q.a[0];if(zMi(q,rij)){i=MJi(PJi(j,a.d),lKi(new xLi('k',++d.b),(DLi(),ALi)));g=YLi(a,h,i);return new qIi((o=pe(ie(Ltb,1),vXm,285,0,[(GIi(),zIi),vIi,WCi,AIi,XCi,UCi,iDi,_Ci,BIi,yIi,EIi,eDi,CIi,FIi,ZCi,DIi,tIi,VCi,xIi,uIi,TCi,bDi,YCi,hDi,aDi,dDi,gDi,fDi,wIi,cDi,$Ci]),cJi(g,b,c,o,d)))}f=MJi(PJi(j,a.d),lKi(kKi(2,new xLi('k',++d.b)),(DLi(),ALi)));e=new cMi(h,f);m=(p=pe(ie(Ltb,1),vXm,285,0,[(GIi(),zIi),vIi,WCi,AIi,XCi,UCi,iDi,_Ci,BIi,yIi,EIi,eDi,CIi,FIi,ZCi,DIi,tIi,VCi,xIi,uIi,TCi,bDi,YCi,hDi,aDi,dDi,gDi,fDi,wIi,cDi,$Ci]),cJi(e,b,c,p,d));if(!bKi(a.d,1)&&!bKi(a.d,-1)){l=MJi(PJi(j,a.d),lKi(kKi(2,new xLi('k',++d.b)),ALi));zMi(q,lij)?(k=new cMi(rKi(ALi,h),l)):(k=new cMi(rKi(kKi(2,ALi),h),l));m.addAll((n=pe(ie(Ltb,1),vXm,285,0,[zIi,vIi,WCi,AIi,XCi,UCi,iDi,_Ci,BIi,yIi,EIi,eDi,CIi,FIi,ZCi,DIi,tIi,VCi,xIi,uIi,TCi,bDi,YCi,hDi,aDi,dDi,gDi,fDi,wIi,cDi,$Ci]),cJi(k,b,c,n,d)))}return new qIi(m)}\nfunction eEi(a,b,c,d,e){var f,g,h,i,j,k,l,m,n,o,p,q,r;if(b.tv((Aij(),Nhj))){o=b;f=null;n=null;m=null;for(k=new LMi(o);k.aEKi(q.c,pgj,b)&&(q=q.o3());if(EKi(q.c,pgj,b)==2){o=Mwi(q.c,pgj);q=KLi(q,o,c)}q.c.tv(Mhj)&&q.d.tv(Mhj)&&(q=RLi(q,ILi(-1),c));if(q.c.tv(Mhj)||q.d.tv(Mhj)){throw Ftc((kxi(c),new wwi))}return new rIi(q)}j=new A9c;Kwi(a,j,Cwi);exi(c,new oxi((QBi(),YAi)));Esd(c.c,c.a);c.a=c.b;C=new snd;for(i=(p=(new lmd(j.a)).a.Ug().lf(),new mmd(p));i.a.Ti();){h=(l=i.a.Ui(),l.Ci());B=new cMi(h,ILi(0));dnd(C,aMi(B,b,c,new _Ii))}c.b=c.a=Dsd(c.c);s=new snd;for(w=new ynd(C);w.a 0$ therefore $%1 > 0$ for all %2');Ezi=new RBi('LEADING_COEFFICIENT_NEGATIVE',33,'LeadingCoefficientNegative','$a = %0 < 0$ therefore $%1 < 0$ for all %2');Gzi=new RBi('LEFT_POSITIVE_RIGHT_NEGATIVE',34,'LeftPositiveRightNegative','The left hand side is always positive, the right is always negative');Yyi=new SBi('EXCLUDE_UNDEFINED_POINTS',35,'ExcludeUndefinedPoints','Exclude undefined points: %0');eAi=new RBi('PLUG_IN_AND_CHECK',36,'PlugInAndCheck','Plug in and check if %0 is a correct solution');Gxi=new RBi('CHECK_VALIDITY',37,'CheckingValidityOfSolutions','Checking validity of solutions');EBi=new RBi('VALID_SOLUTION',38,'ValidSolution','Valid Solution: %0');wzi=new RBi('INVALID_SOLUTION',39,'InvalidSolution','Invalid Solution: %0');FBi=new RBi('VALID_SOLUTION_ABS',40,n3n,'$%0 \\\\in %1$');xzi=new RBi('INVALID_SOLUTION_ABS',41,n3n,'$%0 \\\\notin %1$');qzi=new RBi('FIND_UNDEFINED_POINTS',42,'FindUndefinedPoints','Find undefined points');Pxi=new RBi('DETERMINE_THE_DEFINED_RANGE',43,'DetermineTheDefinedRange','Determine the defined range');YAi=new RBi('ROOTS_AND_SIGN_TABLE',44,'FindRootsAndCreateSignTable','Find the roots of the absolute values and create sign table');JAi=new SBi('RESOLVE_ABSOLUTE_VALUES',45,'ResolveAbsoluteValues','$\\\\left|a\\\\right| = \\\\left|b\\\\right| \\\\implies a = \\\\pm b$');Bzi=new SBi('IS_POSITIVE_IN',46,'IsPositiveIn','$%0 \\\\ge 0$ in %1');zzi=new SBi('IS_NEGATIVE_IN',47,'IsNegativeIn','$%0 \\\\le 0$ in %1');Qzi=new RBi(o3n,48,'NegateBothSides','Negate both sides');nBi=new RBi('SQUARE_ROOT',49,'TakeSquareRoot','Take square root of both sides');Nxi=new RBi('CUBE_ROOT',50,'TakeCubeRoot','Take cube root of both sides');aAi=new RBi('NTH_ROOT',51,'TakeNthRoot','Take %0 root of both sides');mBi=new RBi('SQUARE_BOTH_SIDES',52,'SquareBothSides','Square both sides');rAi=new RBi(p3n,53,'RaiseToPower','Raise both sides to the %0 power');vxi=new RBi('ADD_TO_BOTH_SIDES',54,'AddAToBothSides','Add %0 to both sides');wxi=new RBi('ADD_TO_BOTH_SIDES_NUM',55,'AddToBithSidesNum','Add %0 to the %1 equation');sBi=new RBi('SUBTRACT_FROM_BOTH_SIDES',56,'SubtractAFromBothSides','Subtract %0 from both sides');tBi=new RBi('SUBTRACT_FROM_BOTH_SIDES_NUM',57,'SubtractFromBothSidesNum','Subtract %0 from both sides of equation %1');Kzi=new RBi('MULTIPLY_BOTH_SIDES',58,'MultiplyBothSidesByA','Multiply both sides by %0');Lzi=new RBi('MULTIPLY_BOTH_SIDES_NUM',59,'MultiplyBothSidesNum','Multiply both sides by %0 of equation %1');Cyi=new RBi('DIVIDE_BOTH_SIDES',60,'DivideBothSidesByA','Divide both sides by %0');Dyi=new RBi('DIVIDE_BOTH_SIDES_NUM',61,'DivideBothSidesNum','Divide both sides by %0 of equation %1');fzi=new RBi('FACTOR_EQUATION',62,'FactorEquation','Factor equation');tAi=new RBi('RECIPROCATE_BOTH_SIDES',63,'ReciprocateBothSides','Reciprocate both sides');DBi=new RBi('USE_QUADRATIC_FORMULA',64,'UseQuadraticFormulaWithABC','Use quadratic formula with $a = %0$, $b = %1$, $c = %2$');qAi=new RBi('QUADRATIC_FORMULA',65,'QuadraticFormula','$%0 = \\\\frac{-b \\\\pm \\\\sqrt{b^2-4ac}}{2a}$');Jxi=new RBi('COMPLETE_THE_CUBE',66,'CompleteCube','Complete the cube');Kxi=new RBi(q3n,67,xFn,'Complete the square');_zi=new RBi('NO_SOLUTION_SIN_COS',68,'NoSolutionSinCos','$%0 \\\\in \\\\left[-1, 1\\\\right]$ for all $%1 \\\\in \\\\mathbb{R}$');Zzi=new RBi('NO_SOLUTION_ARCSIN',69,'NoSolutionArcsin',r3n);Yzi=new RBi('NO_SOLUTION_ARCCOS',70,'NoSolutionArccos','$%0 \\\\in \\\\left[0, \\\\pi\\\\right]$ for all $%1 \\\\in \\\\mathbb{R}$');$zi=new RBi('NO_SOLUTION_ARCTAN',71,'NoSolutionArctan',r3n);IAi=new RBi('REPLACE_WITH',72,'ReplaceAWithB','Replace %0 with %1');GAi=new RBi('REPLACE_AND_REGROUP',73,'ReplaceAndRegroup','Replace %0 in %1 and regroup');HAi=new RBi('REPLACE_AND_SOLVE',74,'ReplaceAndSolve','Replace %0 with %1 in %2 and solve the equation');$yi=new RBi(s3n,75,'ExpandFractions','Expand Fractions, the common denominator is: %0');oAi=new RBi(t3n,76,'ProductIsZero','Product is zero');tzi=new SBi(u3n,77,'FractionIsZero','When the quotient of expressions equals 0, the numerator has to be 0');EAi=new RBi('REGROUP_WRAPPER',78,'RegroupExpression','Regroup Expression');_Ai=new RBi('SIMPLIFICATION_WRAPPER',79,'SimplifyExpression','Simplify Expression');Lxi=new RBi('CONVERT_DECIMALS',80,'ConvertDecimals','Convert decimals to fractions');Iyi=new RBi(v3n,81,'DoubleMinus','A double negative is a positive');sAi=new RBi('RATIONALIZE_DENOMINATOR',82,'RationalizeDenominator','Rationalize the denominator.');Ozi=new RBi('MULTIPLY_NUM_DENOM',83,'MultiplyNumeratorAndDenominator','Mutiply the numerator and denominator by %0');xyi=new RBi('DISTRIBUTE_POWER_FRAC',84,'DistributePowerOverFraction','Distribute power over fraction');zyi=new RBi('DISTRIBUTE_ROOT_FRAC',85,'DistributeRootOverFraction','Distribute the root over the fraction');wyi=new RBi(w3n,86,'DistributeMinus','Distribute minus');rxi=new RBi('ADD_CONSTANTS',87,'AddConstants','Add constants');Hxi=new SBi('COLLECT_LIKE_TERMS',88,'CollectLikeTerms','Collect like terms: %0');txi=new RBi(x3n,89,'AddFractions','Add fractions');uxi=new RBi(y3n,90,'AddNumerators','Add numerators');Ixi=new RBi(z3n,91,'CommonFraction','Write the product as a single fraction');Fxi=new SBi(A3n,92,'CancelFraction','Cancel %0 in the fraction');Jzi=new RBi(B3n,93,'MultipliedByZero','Anything multiplied by zero is zero');DAi=new RBi(C3n,94,'RegroupProducts','Regroup products');Mzi=new RBi(D3n,95,'MultiplyConstants','Multiply constants');Izi=new SBi('MULTIPLIED_BY_ONE',96,'MultipliedByOne','Any expression multiplied by one is itself');Uyi=new SBi('EVEN_NUMBER_OF_NEGATIVES',97,'EvenNumberOfNegative','Multiplying an even number of negative numbers gives a positive');bAi=new SBi('ODD_NUMBER_OF_NEGATIVES',98,'OddNumberOfNegative','Multiplying an odd number of negative numbers gives a negative');Vyi=new RBi('EVEN_POWER_NEGATIVE',99,'EvenPowerNegative','An even power of a negative number is a positive');cAi=new RBi('ODD_POWER_NEGATIVE',100,'OddPowerNegative','An odd power of a negative number is a negative');Tzi=new RBi('NEGATIVE_NUM_AND_DENOM',101,'NegativeNumeratorAndDenominator','Use $\\\\frac{-a}{-b} = \\\\frac{a}{b}$');Uzi=new RBi('NEGATIVE_NUM_OR_DENOM',102,'NegativeNumeratorOrDenominator','Use $\\\\frac{-a}{b} = \\\\frac{a}{-b} = -\\\\frac{a}{b}$');uAi=new SBi('REDUCE_ROOT_AND_POWER',103,'ReduceRootAndPower',E3n);vAi=new SBi('REDUCE_ROOT_AND_POWER_EVEN',104,'ReduceRootAndPowerEven',E3n);Pyi=new RBi('EVALUATE_FRACTION',105,'EvaluateFraction','Evaluate fraction');Ryi=new RBi('EVALUATE_POWER',106,'EvaluatePower','Evaluate powers');Syi=new RBi('EVALUATE_ROOT',107,'EvaluateRoot','Evaluate roots');JBi=new SBi('ZEROTH_POWER',108,'ZerothPower','The zeroth power of anything is one');rzi=new SBi('FIRST_POWER',109,'FirstPower','The first power of anything is itself');szi=new SBi('FIRST_ROOT',110,'FirstRoot','The first root of anything is itself');ZAi=new RBi('ROOT_OF_ONE',111,'RootOfOne','Any root of 1 is 1');Xyi=new SBi('EVEN_ROOT_OF_NEGATIVE',112,'EvenRootOfNegative','The square root of a negative number is undefined in the set of the real numbers');dAi=new RBi('ODD_ROOT_OF_NEGATIVE',113,'OddRootOfNegative','An odd root of a negative radicand is always negative');$Ai=new RBi(F3n,114,'RootOfRoot','Use $\\\\sqrt[m]{\\\\sqrt[n]{a}} \\\\equiv \\\\sqrt[mn]{a}$ to simplify the expression');RAi=new RBi('REWRITE_DECIMAL_AS_COMMON_FRACTION',115,'RewriteDecimalAsCommonFraction','Rewrite decimal as common fraction');kBi=new RBi(G3n,116,'SplitProducts','Split products for factoring');hBi=new RBi(H3n,117,'SplitFractions','Split fractions');jBi=new SBi('SPLIT_POWERS',118,'SplitPowers',I3n);lBi=new SBi(J3n,119,'SplitRoots','The root of a product is equal to the product of the roots of each factor');Jyi=new RBi(K3n,120,'EliminateOpposites','Eliminate the opposites');czi=new RBi(L3n,121,'ExponentialOfLog','Exponential of logarithm');NBi=new RBi('ZERO_IN_ADDITION',122,'AddingOrSubtractionZero','When adding or subtracting zero, the quantity does not change');KBi=new SBi('ZERO_DIVIDED',123,'ZeroDivided','Zero divided by anything is zero');Oyi=new SBi('EVALUATE_DIVISION',124,'EvaluateDivision','Evaluate the division');Ayi=new SBi('DIVIDED_BY_ITSELF',125,'DividedByItself','Any expression divided by itself equals 1');Byi=new SBi('DIVIDED_BY_ZERO',126,'DividedByZero','Any expression divided by zero is undefined');Fyi=new SBi('DIVIDE_BY_ONE',127,'DividedByOne','Any expression divided by one remains the same');Eyi=new SBi('DIVIDE_BY_NEGATVE_ONE',128,'DividedByNegativeOne','Any expression divided by negative one negates the expression');KAi=new RBi('REWRITE_AS',129,'RewriteAAsB',I3n);MAi=new RBi('REWRITE_COMPLEX_FRACTION',130,'RewriteComplexFraction','Rewrite complex fraction');nAi=new RBi(M3n,131,'MultiplyExponents','Simplify the expression by multiplying the exponents');Vzi=new SBi('NEGATIVE_POWER',132,'NegativePower','Express with a positive exponent using $a^{-n} \\\\equiv \\\\frac{1}{a^n}$');pzi=new RBi('FACTOR_SQUARE',133,'FactorSquare','Factor out the perfect square');bzi=new SBi('EXPAND_SUM_TIMES_SUM',134,'ExpandSumTimesSum','Multiply everything in the first parentheses with everything in the second parentheses');azi=new SBi('EXPAND_SIMPLE_TIMES_SUM',135,'ExpandSimpleTimesSum','Multiply %0 with everything in the parentheses');Cxi=new RBi('BINOM_SQUARED_SUM',136,N3n,'Use $(a+b)^2 \\\\equiv a^2 + 2ab + b^2$ to expand');Axi=new RBi('BINOM_SQUARED_DIFF',137,O3n,'Use $(a-b)^2 \\\\equiv a^2 - 2ab + b^2$ to expand');xxi=new RBi('BINOM_CUBED',138,P3n,'Use $(a+b)^3 \\\\equiv a^3 + 3a^2b + 3ab^2 + b^3$ to expand');zBi=new RBi('TRINOM_SQUARED',139,'TrinomSquared','Use $(a+b+c)^2 \\\\equiv a^2 + b^2 + c^2 + 2ab + 2bc + 2ac$ to expand');Rxi=new RBi('DIFFERENCE_OF_SQUARES',140,'DifferenceOfSquares','Use $(a+b)(a-b) \\\\equiv a^2-b^2$ to expand');gzi=new RBi(Q3n,141,'FactorFractions','Factor fractions');uBi=new RBi('SUM_OF_CUBES',142,'SumOfCubes','Use $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$ to factor');Dxi=new RBi('BINOM_SQUARED_SUM_FACTOR',143,N3n,'Use $a^2 + 2ab + b^2 \\\\equiv (a+b)^2$ to factor');Bxi=new RBi('BINOM_SQUARED_DIFF_FACTOR',144,O3n,'Use $a^2 - 2ab + b^2 \\\\equiv (a-b)^2$ to factor');Qxi=new RBi('DIFFERENCE_OF_CUBES_FACTOR',145,'DifferenceOfCubes','Use $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$ to factor');Sxi=new RBi('DIFFERENCE_OF_SQUARES_FACTOR',146,'DifferenceOfSquaresFactor','Use $a^2-b^2 \\\\equiv (a+b)(a-b)$ to factor');zxi=new RBi('BINOM_CUBED_SUM_FACTOR',147,P3n,'Use $a^3 + 3a^2b + 3ab^2 + b^3 \\\\equiv (a+b)^3$ to factor');yxi=new RBi('BINOM_CUBED_DIFF_FACTOR',148,P3n,'Use $a^3 - 3a^2b + 3ab^2 - b^3 \\\\equiv (a+b)^3$ to factor');Czi=new RBi('IS_POSITIVE_IN_INEQUALITY',149,'IsPositiveInInequality','%0 is positive in %1, because there are an even number of negative values in the product');Azi=new RBi('IS_NEGATIVE_IN_INEQUALITY',150,'IsNegativeInInequality','%0 is negative in %1, because there are an odd number of negative values in the product');Dzi=new RBi('IS_ZERO_IN',151,'IsZeroIn','%0 is zero in %1, because at least one of the multiplicands is zero');yzi=new RBi('IS_INVALID_IN',152,'IsInvalidIn','%0 is invalid in %1, because there is a zero in the denominator');ozi=new SBi('FACTOR_QUADRATIC',153,'FactorQuadratic','Use $ax^2+bx+c = a\\\\left(x - x_{1}\\\\right)\\\\left(x - x_{2}\\\\right)$ to factor the expression');kzi=new SBi('FACTOR_OUT',154,'FactorOutA','Factor out %0');ezi=new RBi(R3n,155,'FactorCommon','Factor common');nzi=new RBi(S3n,156,'FactorPolynomial','Factor polynomial');hzi=new RBi('FACTOR_FROM_PAIR',157,'FactorOutAFromEveryPair','Factor out %0 from every pair');jzi=new RBi('FACTOR_MINUS',158,'FactorMinus','Factor out the minus sign');izi=new RBi('FACTOR_GCD',159,'FactorGCD','Factor out the greatest common divisor of %0 and %1: %2');FAi=new RBi('REORGANIZE_EXPRESSION',160,'ReorganizeExpression','Reorganize expression');LAi=new RBi('REWRITE_AS_MULTIPLICATION',161,'RewriteAsMultiplication','Rewrite as multiplication');yyi=new RBi(T3n,162,'DistributePowerOverProduct','Distribute power over product');oBi=new RBi(U3n,163,'SquareRootMultipliedByItself','When the square root of an expression in multiplied by itself, the result is that expression');_yi=new RBi(V3n,164,'ExpandRoot','Using $\\\\sqrt[n]{a} \\\\equiv \\\\sqrt[mn]{a^m}$, expand the expression');pAi=new RBi('PRODUCT_OF_ROOTS',165,'ProductOfRoots','The product of roots with the same index is equal to the root of the product');fAi=new RBi('POLYNOMIAL_DIVISION',166,'DivideAByBToGetC','Divide %0 by %1 to get %2');Tyi=new RBi('EVALUATE_TRIGO',167,'EvaluateTrigo','Evaluate trigonometric function');xBi=new SBi('TRIGO_ODD_SIN',168,'TrigoOddSin','$\\\\sin(-x) = -\\\\sin(x)$');wBi=new SBi('TRIGO_EVEN_COS',169,'TrigoEvenCos','$\\\\cos(-x) = \\\\cos(x)$');yBi=new SBi('TRIGO_ODD_TAN',170,'TrigoOddTan','$\\\\tan(-x) = \\\\tan(x)$');lzi=new RBi('FACTOR_OUT_2PI',171,W3n,'Factor out $2 \\\\pi$ where possible');mzi=new RBi('FACTOR_OUT_PI',172,W3n,'Factor out $\\\\pi$ where possible');Lyi=new SBi('ELIMINATE_THE_PERIOD_SIN',173,X3n,'$\\\\sin(x + k \\\\cdot 2 \\\\pi) = \\\\sin(x)$, for any $k \\\\in \\\\mathbb{Z}$');Kyi=new SBi('ELIMINATE_THE_PERIOD_COS',174,X3n,'$\\\\cos(x + k \\\\cdot 2 \\\\pi) = \\\\cos(x)$, for any $k \\\\in \\\\mathbb{Z}$');Myi=new SBi('ELIMINATE_THE_PERIOD_TAN',175,X3n,'$\\\\tan(x + k \\\\cdot \\\\pi) = \\\\tan(x)$, for any $k \\\\in \\\\mathbb{Z}$');zAi=new SBi('REDUCE_TO_FRIST_QUADRANT_SIN_II',176,'ReduceToFirstQuadrantSinII','Use $\\\\sin(x) = \\\\sin(\\\\pi - x)$');AAi=new SBi('REDUCE_TO_FRIST_QUADRANT_SIN_III',177,'ReduceToFirstQuadrantSinIII','Use $\\\\sin(x) = -\\\\sin(x - \\\\pi)$');BAi=new SBi('REDUCE_TO_FRIST_QUADRANT_SIN_IV',178,'ReduceToFirstQuadrantSinIV','Use $\\\\sin(x) = -\\\\sin(2 \\\\pi - x)$');wAi=new SBi('REDUCE_TO_FRIST_QUADRANT_COS_II',179,'ReduceToFirstQuadrantCosII','Use $\\\\cos(x) = -\\\\cos(\\\\pi - x)$');xAi=new SBi('REDUCE_TO_FRIST_QUADRANT_COS_III',180,'ReduceToFirstQuadrantCosIII','Use $\\\\cos(x) = -\\\\cos(x - \\\\pi)$');yAi=new SBi('REDUCE_TO_FRIST_QUADRANT_COS_IV',181,'ReduceToFirstQuadrantCosIV','Use $\\\\cos(x) = \\\\cos(2 \\\\pi - x)$');CAi=new SBi('REDUCE_TO_FRIST_QUADRANT_TAN',182,'ReduceToFirstQuadrantTan','Use $\\\\tan(x) = -\\\\tan(\\\\pi - x)$');iBi=new RBi(Y3n,183,'SplitFractionsWithPi','Split fractions with $\\\\pi$');VAi=new SBi('REWRITE_SIN_PI_POSITIVE',184,'RewriteSinPiPositive','$\\\\sin(x + \\\\pi) = -\\\\sin(x)$');UAi=new SBi('REWRITE_SIN_PI_NEGATIVE',185,'RewriteSinPiNegative','$\\\\sin(\\\\pi - x) = \\\\sin(x)$');QAi=new SBi('REWRITE_COS_PI_POSITIVE',186,'RewriteCosPiPositive','$\\\\cos(x + \\\\pi) = -\\\\cos(x)$');PAi=new SBi('REWRITE_COS_PI_NEGATIVE',187,'RewriteCosPiNegative','$\\\\cos(\\\\pi - x) = -\\\\cos(x)$');TAi=new SBi('REWRITE_SIN_PI_HALF_POSITIVE',188,'RewriteSinPiHalfPositive','$\\\\sin\\\\left(x + \\\\frac{\\\\pi}{2}\\\\right) = \\\\cos(x)$');SAi=new SBi('REWRITE_SIN_PI_HALF_NEGATIVE',189,'RewriteSinPiHalfNegative','$\\\\sin\\\\left(\\\\frac{\\\\pi}{2} - x\\\\right) = \\\\cos(x)$');OAi=new SBi('REWRITE_COS_PI_HALF_POSITIVE',190,'RewriteCosPiHalfPositive','$\\\\cos\\\\left(x + \\\\frac{\\\\pi}{2}\\\\right) = -\\\\sin(x)$');NAi=new SBi('REWRITE_COS_PI_HALF_NEGATIVE',191,'RewriteCosPiHalfNegative','$\\\\cos\\\\left(\\\\frac{\\\\pi}{2} - x\\\\right) = \\\\sin(x)$');XAi=new SBi('REWRITE_TAN_PI_HALF_POSITIVE',192,'RewriteTanPiHalfPositive','$\\\\tan\\\\left(x + \\\\frac{\\\\pi}{2}\\\\right) = -\\\\frac{1}{\\\\tan(x)}$');WAi=new SBi('REWRITE_TAN_PI_HALF_NEGATIVE',193,'RewriteTanPiHalfNegative','$\\\\tan\\\\left(\\\\frac{\\\\pi}{2} - x\\\\right) = \\\\frac{1}{\\\\tan(x)}$');Qyi=new RBi('EVALUATE_INVERSE_TRIGO',194,'EvaluateInverseTrigo','Evaluate inverse trigonometric function');lAi=new SBi('POSITIVE_UNDER_ABSOLUTE_VALUE',195,'PositiveUnderAbsoluteValue','The absolute value of a positive value is itself');Wzi=new SBi('NEGATIVE_UNDER_ABSOLUTE_VALUE',196,'NegativeUnderAbsoluteValue','The absolute value of a negative value is the negation of itself');Wyi=new SBi(Z3n,197,'EvenPowerOfAbsoluteValue','An even power of an absolute value is already positive');Txi=new RBi('DIFFERENTIATE',198,'Differentiate','Differentiate %0');syi=new SBi('DIFF_SUM',199,'SumRule','$\\\\frac{d}{dx} \\\\left[f(x) + g(x)\\\\right] = \\\\frac{d}{dx}f(x) + \\\\frac{d}{dx}g(x)$');$xi=new RBi('DIFF_CONSTANT',200,'ConstantRule','The derivative of a constant is zero');_xi=new SBi('DIFF_CONSTANT_COEFFICIENT',201,'ConstantCoefficientRule','$\\\\frac{d}{dx} \\\\left[k \\\\cdot f(x) \\\\right] = k \\\\cdot \\\\frac{d}{dx} f(x)$');nyi=new SBi('DIFF_PRODUCT',202,'ProductRule','$\\\\frac{d}{dx}\\\\left[f(x) \\\\cdot g(x)\\\\right] = \\\\frac{d}{dx} f(x) \\\\cdot g(x) + f(x) \\\\cdot \\\\frac{d}{dx} g(x)$');gyi=new SBi('DIFF_FRACTION',203,'QuotientRule','$\\\\frac{d}{dx} \\\\frac{f(x)}{g(x)} = \\\\frac{\\\\frac{d}{dx} f(x) \\\\cdot g(x) - f(x) \\\\cdot \\\\frac{d}{dx} g(x)}{(g(x))^2}$');vyi=new SBi('DIFF_VARIABLE',204,'DifferentiateVariable','$\\\\frac{d}{dx} x = 1$');lyi=new SBi('DIFF_POWER',205,'PowerRule','$\\\\frac{d}{dx} x^n = n x^{n-1}$');eyi=new SBi('DIFF_EXPONENTIAL_E',206,'ExponentialRuleE','$\\\\frac{d}{dx} e^x = e^x$');cyi=new SBi('DIFF_EXPONENTIAL',207,'ExponentialRule','$\\\\frac{d}{dx} a^x = \\\\ln(a) a^x$');oyi=new SBi('DIFF_ROOT',208,'RootRule','$\\\\frac{d}{dx} \\\\sqrt[n]{x} = \\\\frac{1}{n \\\\sqrt[n]{x^{n-1}}}$');hyi=new SBi('DIFF_LOG',209,'LogRule','$\\\\frac{d}{dx} \\\\( \\\\log_{a} \\\\left(x\\\\right) \\\\) = \\\\frac{1}{\\\\ln(a) \\\\cdot x}$');jyi=new SBi('DIFF_NATURAL_LOG',210,'NaturalLogRule','$\\\\frac{d}{dx} \\\\ln(x) = \\\\frac{1}{x}$');qyi=new SBi('DIFF_SIN',211,'SinRule','$\\\\frac{d}{dx} sin(x) = cos(x)$');ayi=new SBi('DIFF_COS',212,'CosRule','$\\\\frac{d}{dx} cos(x) = -sin(x)$');tyi=new SBi('DIFF_TAN',213,'TanRule','$\\\\frac{d}{dx} tan(x) = \\\\frac{1}{cos^2(x)}$');Wxi=new SBi('DIFF_ARCSIN',214,'ArcsinRule','$\\\\frac{d}{dx} arcsin(x) = \\\\frac{1}{\\\\sqrt{1-x^2}}$');Uxi=new SBi('DIFF_ARCCOS',215,'ArccosRule','$\\\\frac{d}{dx} arccos(x) = -\\\\frac{1}{\\\\sqrt{1-x^2}}$');Yxi=new SBi('DIFF_ARCTAN',216,'ArctanRule','$\\\\frac{d}{dx} arctan(x) = \\\\frac{1}{x^2+1}$');myi=new SBi('DIFF_POWER_CHAIN',217,'PowerRuleChain','$\\\\frac{d}{dx} (u(x))^n = n (u(x))^{n-1} \\\\cdot \\\\frac{d}{dx} u(x)$');fyi=new SBi('DIFF_EXPONENTIAL_E_CHAIN',218,'ExponentialRuleEChain','$\\\\frac{d}{dx} a^{u(x)} = \\\\ln(a) a^{u(x)} \\\\cdot \\\\frac{d}{dx} u(x)$');dyi=new SBi('DIFF_EXPONENTIAL_CHAIN',219,'ExponentialRuleChain','$\\\\frac{d}{dx} e^{u(x)} = e^{u(x)} \\\\cdot \\\\frac{d}{dx} u(x)$');pyi=new SBi('DIFF_ROOT_CHAIN',220,'RootRuleChain','$\\\\frac{d}{dx} \\\\sqrt[n]{u(x)} = \\\\frac{1}{n \\\\sqrt[n]{(u(x))^{n-1}}} \\\\cdot \\\\frac{d}{dx} u(x)$');iyi=new SBi('DIFF_LOG_CHAIN',221,'LogRuleChain','$\\\\frac{d}{dx} \\\\log_{a}(u(x)) = \\\\frac{1}{\\\\ln(a) \\\\cdot u(x)} \\\\cdot \\\\frac{d}{dx} u(x)$');kyi=new SBi('DIFF_NATURAL_LOG_CHAIN',222,'NaturalLogRuleChain','$\\\\frac{d}{dx} \\\\ln(u(x)) = \\\\frac{1}{u(x)} \\\\cdot \\\\frac{d}{dx} u(x)$');ryi=new SBi('DIFF_SIN_CHAIN',223,'SinRuleChain','$\\\\frac{d}{dx} sin(u(x)) = cos(u(x)) \\\\cdot \\\\frac{d}{dx} u(x)$');byi=new SBi('DIFF_COS_CHAIN',224,'CosRuleChain','$\\\\frac{d}{dx} cos(u(x)) = -sin(u(x)) \\\\cdot \\\\frac{d}{dx} u(x)$');uyi=new SBi('DIFF_TAN_CHAIN',225,'TanRuleChain','$\\\\frac{d}{dx} tan(u(x)) = \\\\frac{1}{cos^2(u(x))} \\\\cdot \\\\frac{d}{dx} u(x)$');Xxi=new SBi('DIFF_ARCSIN_CHAIN',226,'ArcsinRuleChain','$\\\\frac{d}{dx} arcsin(u(x)) = \\\\frac{1}{\\\\sqrt{1-(u(x))^2}} \\\\cdot \\\\frac{d}{dx} u(x)$');Vxi=new SBi('DIFF_ARCCOS_CHAIN',227,'ArccosRuleChain','\\\\frac{d}{dx} arccos(u(x)) = -\\\\frac{1}{\\\\sqrt{1-(u(x))^2}} \\\\cdot \\\\frac{d}{dx} u(x)');Zxi=new SBi('DIFF_ARCTAN_CHAIN',228,'ArctanRuleChain','\\\\frac{d}{dx} arctan(u(x)) = \\\\frac{1}{(u(x))^2+1} \\\\cdot \\\\frac{d}{dx} u(x)');sxi=new RBi('ADD_EQUATIONS',229,'AddEquations','Add the equations to eliminate %0');BBi=new RBi('USE_CRAMERS_RULE',230,'UseCramersRule',\"Use Cramer's rule to solve the equation system\");Oxi=new RBi('DETERMINANTS',231,'','$D = %3$, $D_{1} = %0$, $D_{2} = %1$, $D_{3} = %2$');Mxi=new RBi('CRAMER_VARIABLE',232,'','$%0 = \\\\frac{D_{%1}}{D} = \\\\frac{%2}{%3}$');CBi=new SBi('USE_LEIBNIZ_FORMULA',233,'UseLeibnizFormula','Use the Leibniz formula to evaluate the determinant');Exi=new RBi('CALCULATE_DETERINANT',234,'CalculateDeterminant','Calculate the determinant %0');HBi=new RBi('WRITE_IN_MATRIX_FORM',235,'WriteInMatrixForm','Write the equation system in matrix form');IBi=new RBi('WRITE_IN_SYSTEM_FORM',236,'WriteInSystemForm','Write the matrix in equation system form');Pzi=new RBi('MULTIPLY_ROW_AND_ADD',237,'MultiplyRowAndAdd','Multiply row %0 by %1 and add it to row %2');Nzi=new RBi('MULTIPLY_EACH_ELEMENT_AND_ADD',238,'MultiplyEachElementAndAdd','Multiply each element in row %0 by %1 and add that product to row %2');Hyi=new RBi('DIVIDE_ROW',239,'DivideRow','Divide row %0 by %1');Gyi=new RBi('DIVIDE_EACH_ELEMENT',240,'DivideEachElement','Divide each element in row %0 by %1')}\nvar b3n={3:1,4:1,7:1,76:1},c3n={3:1,4:1,8:1,7:1,76:1,153:1},d3n='EXPAND',e3n='FACTOR',f3n='PositiveGEZero',g3n='The statement is true for all values of %0',h3n='PositiveGTZero',i3n='The statement is true, except when %0',j3n='PositiveLEZero',k3n='The statement is only true when %0',l3n='PositiveLTZero',m3n='The statement is false for all values of %0',n3n='ValidSolutionAbs',o3n='NEGATE_BOTH_SIDES',p3n='RAISE_TO_POWER',q3n='COMPLETE_THE_SQUARE',r3n='$%0 \\\\in \\\\left[-\\\\frac{\\\\pi}{2}, \\\\frac{\\\\pi}{2}\\\\right]$ for all $%1 \\\\in \\\\mathbb{R}$',s3n='EXPAND_FRACTIONS',t3n='PRODUCT_IS_ZERO',u3n='FRACTION_IS_ZERO',v3n='DOUBLE_MINUS',w3n='DISTRIBUTE_MINUS',x3n='ADD_FRACTIONS',y3n='ADD_NUMERATORS',z3n='COMMON_FRACTION',A3n='CANCEL_FRACTION',B3n='MULTIPLIED_BY_ZERO',C3n='REGROUP_PRODUCTS',D3n='MULTIPLY_CONSTANTS',E3n='Reduce the root and power by: %0',F3n='ROOT_OF_ROOT',G3n='SPLIT_PRODUCTS',H3n='SPLIT_FRACTIONS',I3n='Rewrite %0 as %1',J3n='SPLIT_ROOTS',K3n='ELIMINATE_OPPOSITES',L3n='EXPONENTIAL_OF_LOG',M3n='POWER_OF_POWER',N3n='BinomSquaredSum',O3n='BinomSquaredDiff',P3n='BinomCubed',Q3n='FACTOR_FRACTIONS',R3n='FACTOR_COMMON',S3n='FACTOR_POLYNOMIAL',T3n='DISTRIBUTE_POWER_OVER_PRODUCT',U3n='SQUARE_ROOT_MULTIPLIED_BY_ITSELF',V3n='EXPAND_ROOT',W3n='FactorOut2Pi',X3n='EliminatePeriodSin',Y3n='SPLIT_FRACTIONS_WITH_PI',Z3n='EVEN_POWER_OF_ABSOLUTE_VALUE',$3n='\\\\fgcolor{',_3n={3:1,16:1,23:1,446:1,105:1},a4n={3:1,16:1,23:1,337:1,285:1},b4n='SOLVE_QUADRATIC',c4n='SIMPLIFY_TRIGONOMETRIC',d4n={3:1,16:1,23:1,615:1,105:1},e4n={3:1,16:1,23:1,348:1,105:1},f4n={3:1,16:1,23:1,338:1,105:1},g4n='SIMPLIFY_FRACTIONS',h4n={3:1,16:1,23:1,679:1,285:1},i4n={3:1,16:1,23:1,150:1,105:1},j4n={3:1,16:1,23:1,285:1,420:1},k4n='changed at ',l4n={3:1,16:1,23:1,105:1,492:1},m4n=4.71238898038469,n4n=' \\\\in ',o4n=' \\\\text{ and } ';luc(6399,1,{},XZf);_.Ae=function(){return M7i(this.b)};var zU=Cgd(6399);luc(u6m,57,{3:1,38:1,57:1,68:1,1097:1},vwi,wwi);_.He=fpo;var Sqb=Cgd(u6m);var xwi,ywi,zwi,Awi,Bwi,Cwi,Dwi;luc(7668,1,{},Wwi);_.C2=function(a){if(a){return CKi(a,2)}return false};var Tqb=Cgd(7668);luc(7669,1,{},Xwi);_.C2=function(a){return a.tv((Aij(),pgj))};var Uqb=Cgd(7669);luc(7670,1,{},Ywi);_.D2=function(a){if(a.tv((Aij(),pgj))){return a.a[0]}return null};var Vqb=Cgd(7670);luc(7671,1,{},Zwi);_.D2=function(a){if(a.tv((Aij(),Thj))&&XKi(a.a[1])){return a.a[0]}return null};var Wqb=Cgd(7671);luc(7672,1,{},$wi);_.D2=function(a){if(a.tv((Aij(),Yhj))){return a.a[0]}return null};var Xqb=Cgd(7672);luc(7673,1,{},_wi);_.D2=function(a){if(a.tv((Aij(),Yhj))){return jKi(a.a[0])}return null};var Yqb=Cgd(7673);luc(7674,1,{},axi);_.D2=function(a){if(a.tv((Aij(),Zgj))){return a.a[1]}return null};var Zqb=Cgd(7674);luc(7675,1,{},bxi);_.D2=function(a){var b;if(ff(a,201)){b=a;if((zMi(b,(Aij(),lij))||zMi(b,Pgj)||zMi(b,rij))&&!yMi(b,this.a)){return b}}return null};var $qb=Cgd(7675);luc(7676,1,{},cxi);_.D2=function(a){var b;if(ff(a,201)){b=a;if(zMi(b,(Aij(),pgj))||zMi(b,Thj)||zMi(b,Zgj)&&b.a[0].c3(this.a)||(zMi(b,lij)||zMi(b,Pgj)||zMi(b,rij)||zMi(b,zgj)||zMi(b,xgj)||zMi(b,Bgj))&&!yMi(b,this.a)){return b}}return null};var _qb=Cgd(7676);luc(5290,1,{},dxi);_.E2=function(a,b,c){var d,e,f,g,h;f=new mxi;e=_Ji(a,c);h=null;if(!e){return '[]'}KJi(e).r.length>0&&(h=fnd(KJi(e),0));switch(b){case 'simplify':e.T2(f);break;case aVn:e.Q2(f);break;case 'factor':e.R2(f);break;case 'solve':e.V2().n3(h,f,new _Ii);break;case aMn:vKi(UJi(e,h),f);break;default:throw Ftc(new $gd('Unexpected step type '+b));}g=kxi(f);d=new XZf(c.G.k.h4());VZf(d,g);return M7i(d.b)};var arb=Cgd(5290);var brb=Egd();luc(676,1,{},mxi);var crb=Cgd(676);luc(2087,1,{2087:1});_.I2=function(a){nxi(this,a)};var frb=Cgd(2087);luc(67,2087,{67:1,2087:1},oxi,pxi,qxi);_.I2=function(a){var b,c;!this.d&&(this.d=new snd);if(this.c==(QBi(),rBi)&&ff(a,67)&&a.b==null){c=a;for(b=1;b0&&g.a[1].d3()){h=g.a[0];if(g.a[1].n_()+h.a.length<6){return kEi(g,b,c)}e=buc(Mtc($wnd.Math.round(g.a[1].n_())));d=me(pub,c3n,136,e,0,1);for(f=0;f0;o--){f=Ktc(m[o],n);Itc(f,0)<0?(h[p.length-o]=cLi(lKi(oLi(auc(Utc(f)),nLi(r,ILi(o-1))),l))):(h[p.length-o]=lKi(oLi(auc(f),nLi(r,ILi(o-1))),l));m[o-1]=Gtc(m[o-1],Ktc(Ttc(j,m[o]),n))}exi(b,new qxi((QBi(),hzi),pe(ie(brb,1),b3n,135,0,[l])));return HMi(Xhj,h)}}}}return a.S2(this,b,c)};var Yrb=Dgd(7080,nsb,null);luc(7081,348,e4n,LEi);_.L2=function(a,b,c){var d;d=pe(ie(Ktb,1),vXm,105,0,[pEi,sEi]);return bJi(a,null,d,b,c)};var Zrb=Dgd(7081,nsb,null);luc(7082,348,e4n,MEi);_.L2=function(a,b,c){var d;d=pe(ie(Ktb,1),vXm,105,0,[CEi,zEi,vEi]);return bJi(a,(QBi(),nzi),d,b,c)};var $rb=Dgd(7082,nsb,null);luc(7083,348,e4n,NEi);_.L2=function(a,b,c){var d;d=pe(ie(Ktb,1),vXm,105,0,[DEi,uEi]);return bJi(a,(QBi(),ezi),d,b,c)};var _rb=Dgd(7083,nsb,null);luc(7084,348,e4n,PEi);_.L2=function(a,b,c){return OEi(a,b,c)};var asb=Dgd(7084,nsb,null);luc(7085,348,e4n,QEi);_.L2=function(a,b,c){var d;d=pe(ie(Ktb,1),vXm,105,0,[vEi,(dHi(),MGi),yEi,sEi,rEi,xEi,AEi]);return bJi(a,null,d,b,c)};var bsb=Dgd(7085,nsb,null);luc(7086,348,e4n,SEi);_.L2=function(a,b,c){return REi(a,b,c)};var csb=Dgd(7086,nsb,null);luc(7087,348,e4n,UEi);_.L2=function(a,b,c){return TEi(a,b,c)};var dsb=Dgd(7087,nsb,null);luc(7072,348,e4n,VEi);_.L2=function(a,b,c){var d,e,f,g,h,i,j,k,l,m,n,o,p,q;if(a.tv((Aij(),Xhj))){q=a;d=q.a[0];for(k=1;!!d&&k0&&(d=false);e=YJi(e,Mtc($wnd.Math.round(i[h].n_())))}d||(e=Itc(e,0)<0?Utc(e):e);if(Itc(e,0)==0||Itc(e,1)==0){return l}j=me(pub,c3n,136,l.a.length,0,1);for(g=0;g=3){g=null;p=null;r=null;for(i=0;i<3;i++){_Ki(q.a[i])&&!g?(g=q.a[i]):_Ki(q.a[i])&&!r?(r=q.a[i]):(p=q.a[i])}if(!g||!p||!r){return a.S2(this,b,c)}e=TKi(g);f=TKi(r);d=kKi(2,NJi((Aij(),Nhj),e,f));n=bKi(eJi(MJi(p,PJi(Mhj,d))),0);k=!n&&bKi(eJi(NJi(Xhj,p,d)),0);if(n||k){if(Vb(p,d)||Vb(p,cLi(d))){p.tv(Mhj)&&(p=p.a[0]);g.U2(c.b);e.U2(c.b);p.a[1].U2(c.b++);r.U2(c.b);f.U2(c.b);p.a[2].U2(c.b++);o=k?nKi(MJi(e,PJi(Mhj,f)),ILi(2)):nKi(NJi(Xhj,e,f),ILi(2));k?exi(b,new oxi((QBi(),Bxi))):exi(b,new oxi((QBi(),Dxi)));if(q.a.length==3){return o}m=me(pub,c3n,136,q.a.length-2,0,1);m[0]=o;for(j=3;j0||Itc(l,100)>0){return a.S2(this,b,c)}for(m=Utc(k);Itc(m,k)<=0;e=m,m=Gtc(m,1),e){for(p=1;Itc(p,l)<=0;d=p,p=Gtc(p,1),d){if(Itc(m,0)!=0&&Ltc(Stc(k,m),0)&&Ltc(Stc(l,p),0)&&$wnd.Math.abs(wMi(t,v,auc(m)/auc(p)))0;q--){f=Ktc(Ttc(m,o[q]),p);bnd(u,oLi(auc(o[q]),nLi(v,ILi(q))));bnd(u,oLi(auc(Utc(f)),nLi(v,ILi(q-1))));o[q-1]=Gtc(o[q-1],Ktc(Ttc(m,o[q]),p))}s=HMi(Xhj,rnd(u,me(pub,c3n,136,0,0,1)));eIi(c,s,(mIi(),iIi));if(!rMi(t,s)){++c.b;exi(b,new oxi((QBi(),FAi)));return s}return t}}}}return a.S2(this,b,c)};var msb=Dgd(7079,nsb,null);luc(338,23,f4n);_.M2=function(){return this==mFi||this==bFi||this==cFi||this==qFi||this==hFi};var bFi,cFi,dFi,eFi,fFi,gFi,hFi,iFi,jFi,kFi,lFi,mFi,nFi,oFi,pFi,qFi,rFi,sFi;var Gsb=Dgd(338,Zu,xFi);luc(7677,338,f4n,yFi);_.L2=function(a,b,c){var d,e,f,g,h,i,j,k,l,m;if(a.tv((Aij(),Zgj))){h=a;i=h.a[0];d=h.a[1];j=i.$2();e=d.$2();k=i._2();f=d._2();if(!(!e||e.e3()&&$wnd.Math.abs(e.n_()-1)1){f=c.b++;for(h=new ynd(i);h.a0){($wd(j,e.r.length),e.r[j]).U2(c.b);($wd(k,d.r.length),d.r[k]).U2(c.b);ond(e,j,ILi(($wd(j,e.r.length),e.r[j]).n_()/auc(i)));ond(d,k,ILi(($wd(k,d.r.length),d.r[k]).n_()/auc(i)));($wd(j,e.r.length),e.r[j]).U2(c.b);($wd(k,d.r.length),d.r[k]).U2(c.b);m=ILi(auc(i));m.U2(c.b++);exi(b,new qxi((QBi(),Fxi),pe(ie(brb,1),b3n,135,0,[m])));f=true;break}}}}if(f){return WJi(mLi(e,h),mLi(d,g))}}return a.S2(this,b,c)};var Csb=Dgd(7682,Gsb,null);luc(7683,338,f4n,QFi);_.L2=function(a,b,c){var d,e,f,g,h,i,j,k,l,m;if(a.tv((Aij(),Zgj))){l=a;e=new snd;i=new snd;d=new snd;h=new 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Ysb=Dgd(7038,Ftb,null);luc(7021,150,i4n,tHi);_.L2=function(a,b,c){var d,e,f,g,h,i,j,k,l,m,n;if(a.tv((Aij(),Xhj))){n=a;d=me(Ctc,$Xm,5,n.a.length,16,1);for(g=0;g1){return HMi(Xhj,rnd(m,me(pub,c3n,136,0,0,1)))}}return a.S2(this,b,c)};var itb=Dgd(7021,Ftb,null);luc(7039,150,i4n,uHi);_.L2=function(a,b,c){var d,e,f,g;if(a.tv((Aij(),Nhj))){g=a;for(e=new LMi(g);e.a0)){h=qLi(nLi(PJi(pgj,d),f),e);exi(b,new qxi((QBi(),vAi),pe(ie(brb,1),b3n,135,0,[g])))}else{h=qLi(nLi(d,f),e);exi(b,new qxi((QBi(),uAi),pe(ie(brb,1),b3n,135,0,[g])))}AMi(i,c.b);h.U2(c.b++);return h}}return a.S2(this,b,c)};var etb=Dgd(7045,Ftb,null);luc(7046,150,i4n,CHi);_.L2=function(a,b,c){var d,e;if(a.tv((Aij(),$hj))){e=a;if(e.a[0].tv($hj)){d=nKi(tMi(e.a[0],0),lKi(e.a[1],tMi(e.a[0],1)));AMi(e,c.b);d.U2(c.b);exi(b,new pxi((QBi(),nAi),c.b++));return d}}return a.S2(this,b,c)};var ftb=Dgd(7046,Ftb,null);luc(7047,150,i4n,DHi);_.L2=function(a,b,c){var d,e;if(a.tv((Aij(),Thj))){e=a;if(e.a[0].tv(Thj)){d=oKi(tMi(e.a[0],0),lKi(e.a[1],tMi(e.a[0],1)));AMi(e,c.b);d.U2(c.b);exi(b,new pxi((QBi(),$Ai),c.b++));return d}}return a.S2(this,b,c)};var gtb=Dgd(7047,Ftb,null);luc(7048,150,i4n,EHi);_.L2=function(a,b,c){var d,e;if(a.tv((Aij(),$hj))){e=a;if(bKi(e.a[1],0)){d=ILi(1);AMi(e,c.b);d.U2(c.b);exi(b,new pxi((QBi(),JBi),c.b++));return d}if(bKi(e.a[1],1)){d=e.a[0];AMi(e,c.b);d.U2(c.b);exi(b,new pxi((QBi(),rzi),c.b++));return d}}return a.S2(this,b,c)};var htb=Dgd(7048,Ftb,null);luc(7022,150,i4n,FHi);_.L2=function(a,b,c){var d,e,f;if(a.tv((Aij(),$hj))){e=a.a[0];f=a.a[1];if(f.tv(Hhj)&&Vb(f.a[0],e)){exi(b,new pxi((QBi(),czi),c.b++));d=f.a[1];d.U2(c.b);return d}}return a.S2(this,b,c)};var ttb=Dgd(7022,Ftb,null);luc(7049,150,i4n,GHi);_.L2=function(a,b,c){var d,e;if(a.tv((Aij(),$hj))){e=a;if(e.a[1].tv(Mhj)){d=VJi(nLi(e.a[0],cLi(e.a[1])));AMi(e,c.b);d.U2(c.b);exi(b,new pxi((QBi(),Vzi),c.b++));return d}if(e.a[0].e3()&&e.a[1].d3()){d=ILi($wnd.Math.pow(e.a[0].n_(),e.a[1].n_()));AMi(e,c.b);d.U2(c.b);exi(b,new pxi((QBi(),Ryi),c.b++));return d}}return a.S2(this,b,c)};var jtb=Dgd(7049,Ftb,null);luc(7050,150,i4n,HHi);_.L2=function(a,b,c){var d,e;if(a.tv((Aij(),Thj))){e=a;if(XKi(e.a[1])&&e.a[0].e3()&&e.a[0].tv(Mhj)){d=(DLi(),CLi);AMi(e,c.b);vLi(d,c.b);exi(b,new pxi((QBi(),Xyi),c.b++));return d}if(bKi(e.a[0],1)){d=ILi(1);AMi(e,c.b);d.U2(c.b);exi(b,new pxi((QBi(),ZAi),c.b++));return d}if(bKi(e.a[1],1)){d=e.a[0];AMi(e,c.b);d.U2(c.b);exi(b,new pxi((QBi(),szi),c.b++));return d}if($wnd.Math.abs(e.a[1].n_()%2-1)0){AMi(d,c.b);exi(b,new pxi((QBi(),lAi),c.b++));return d.a[0]}}return a.S2(this,b,c)};var ltb=Dgd(7051,Ftb,null);luc(7052,150,i4n,JHi);_.L2=function(a,b,c){var d;if(a.tv((Aij(),pgj))){d=a;if(d.a[0].tv(Mhj)){AMi(d,c.b);exi(b,new pxi((QBi(),Wzi),c.b++));return cLi(d.a[0])}}return a.S2(this,b,c)};var mtb=Dgd(7052,Ftb,null);luc(7053,150,i4n,KHi);_.L2=function(a,b,c){var d;if(a.tv((Aij(),$hj))){d=a;if(d.a[0].tv(pgj)&&XKi(d.a[1])){AMi(d,c.b);exi(b,new pxi((QBi(),Wyi),c.b++));return nKi(tMi(d.a[0],0),d.a[1])}}return a.S2(this,b,c)};var ntb=Dgd(7053,Ftb,null);luc(7054,150,i4n,LHi);_.L2=function(a,b,c){var d;d=pe(ie(Ktb,1),vXm,105,0,[oGi,nGi,AGi]);if(a.P2((Aij(),pgj))){return bJi(a,null,d,b,c)}return a};var otb=Dgd(7054,Ftb,null);luc(7055,150,i4n,MHi);_.L2=function(a,b,c){var d;d=pe(ie(Ktb,1),vXm,105,0,[DGi,FGi,EGi,pGi]);return bJi(a,null,d,b,c)};var ptb=Dgd(7055,Ftb,null);luc(7056,150,i4n,NHi);_.L2=function(a,b,c){var d;d=pe(ie(Ktb,1),vXm,105,0,[bHi,GGi,HGi,wGi,vGi]);if(a.P2((Aij(),$hj))){return bJi(a,null,d,b,c)}return a};var qtb=Dgd(7056,Ftb,null);luc(7057,150,i4n,OHi);_.L2=function(a,b,c){var d;d=pe(ie(Ktb,1),vXm,105,0,[xGi,QGi,RGi,OGi,PGi,_Gi,WGi,YGi,TGi]);if(a.P2((Aij(),Thj))){return bJi(a,null,d,b,c)}return a};var rtb=Dgd(7057,Ftb,null);luc(7058,150,i4n,PHi);_.L2=function(a,b,c){var d;d=pe(ie(Ktb,1),vXm,105,0,[GGi,aHi,qGi,wGi,MGi,LGi,XGi,bHi,(cEi(),ZDi),$Di,KGi,IGi]);if(a.P2((Aij(),Zgj))){return bJi(a,(QBi(),sAi),d,b,c)}return a};var stb=Dgd(7058,Ftb,null);luc(7023,150,i4n,QHi);_.L2=function(a,b,c){var d,e,f,g,h,i,j,k,l,m;if(a.tv((Aij(),Nhj))){m=a;l=0;e=1;for(j=new LMi(m);j.a1){h=me(pub,c3n,136,m.a.length,0,1);for(g=0;g1){for(i=new LMi(n);i.a0&&(j=j.o3())}else{h=gLi(rKi(a.c,a.d),null);i=KKi(h,b);if(i.c3(null)||!!RKi(i)){e=KKi(j.d,b);j=KLi(j,e,c);j=KLi(j,IKi(j.c,b),c)}else{return null}}k=ZJi(RKi(j.c),RKi(j.d));if(Itc(k,1)<=0){return null}l=j.c.Z2(null);j.d.c3(b)&&(j=RLi(j,l,c));if(Ltc(Stc(k,2),0)&&jLi(j.d)<0){exi(c,new oxi((QBi(),Gzi)));return new pIi}exi(c,new oxi((QBi(),uzi)));Esd(c.c,c.a);c.a=c.b;if(Itc(k,2)==0&&j.c.tv((Aij(),$hj))&&j.d.c3(null)){exi(c,new oxi(nBi));m=j.c.a[0];bKi(j.d,0)?(j=j.i3(m,ILi(0))):(j=j.i3(m,mKi(oKi(j.d,ILi(2)))))}else{j=SLi(j,k,c)}exi(c,new qxi(Nyi,pe(ie(brb,1),b3n,135,0,[j])));c.b=c.a=Dsd(c.c);j=j.k3(c);return new rIi(j)};var Otb=Dgd(7640,Ztb,null);luc(7641,420,j4n,NIi);_.N2=function(a,b,c,d){return new rIi(HFi((tFi(),a),c,new gIi))};var Ptb=Dgd(7641,Ztb,null);luc(7630,420,j4n,OIi);_.N2=function(a,b,c,d){if(d.a!=null){return null}if(0<$wnd.Math.max(bLi(a.c),bLi(a.d))&&$wnd.Math.max(bLi(a.c),bLi(a.d))<5&&(BKi(a.c)||BKi(a.d))){$Ii(d,(Efd(),false));return new rIi(MFi((tFi(),a),c,new gIi))}$wnd.Math.max(bLi(a.c),bLi(a.d))>0?$Ii(d,(Efd(),true)):$Ii(d,(Efd(),false));return null};var Rtb=Dgd(7630,Ztb,null);luc(7631,420,j4n,PIi);_.N2=function(a,b,c,d){return Ffd(d.a)?new rIi(ZHi((dHi(),a),c,new gIi)):new rIi(XHi((dHi(),$Gi),a,c,new gIi))};var Stb=Dgd(7631,Ztb,null);luc(7632,420,j4n,QIi);_.N2=function(a,b,c,d){return new rIi(FFi((tFi(),a),c,new gIi))};var Ttb=Dgd(7632,Ztb,null);luc(7633,420,j4n,RIi);_.N2=function(a,b,c,d){return new rIi(nEi((cEi(),a),c,new gIi))};var Utb=Dgd(7633,Ztb,null);luc(7634,420,j4n,SIi);_.N2=function(a,b,c,d){if(eKi(a.c)||eKi(a.d)){return new rIi(TEi((GEi(),a),c,new gIi))}return null};var Vtb=Dgd(7634,Ztb,null);luc(7635,420,j4n,TIi);_.N2=function(a,b,c,d){var e,f,g;g=a;e=a.c.Y2(b);f=a.d.Y2(b);e!=-1&&f!=-1&&f>e&&(g=g.o3());return new rIi(WLi(g,g.d,c))};var Wtb=Dgd(7635,Ztb,null);luc(7636,420,j4n,UIi);_.N2=function(a,b,c,d){var e;e=MKi(dLi(a.c),dLi(a.d));if(!Vb(a.c,a.d)&&!!e&&!e.d3()){return new rIi(KLi(a,e,c))}return null};var Xtb=Dgd(7636,Ztb,null);luc(7637,420,j4n,VIi);_.N2=function(a,b,c,d){var e,f,g,h,i,j,k,l,m;k=NLi(a,b);if(k!=0&&k!=1){return null}m=a;e=(Ewi(),j=HKi(a.c,b),!j?0:j.n_());g=(i=HKi(a.d,b),!i?0:i.n_());!($wnd.Math.abs(g)e&&(m=m.o3());h=JKi(m.d,b);m=KLi(m,h,c);f=IKi(m.c,b);m=KLi(m,f,c);l=HKi(m.c,b);m=RLi(m,l,c);VLi(m,0);return new rIi(m)};var Ytb=Dgd(7637,Ztb,null);luc(651,1,{},_Ii);_.b=0;_.e=false;var $tb=Cgd(651);luc(2765,1,{2765:1},fJi);var _tb=Cgd(2765);luc(492,23,l4n);_.M2=function(){return this==nJi||this==lJi};var gJi,hJi,iJi,jJi,kJi,lJi,mJi,nJi,oJi,pJi;var kub=Dgd(492,Zu,sJi);luc(7695,492,l4n,tJi);_.L2=function(a,b,c){var d,e,f;if(a.tv((Aij(),lij))||a.tv(Pgj)||a.tv(rij)){f=a;d=f.a[0];e=null;if(d.tv(Mhj)){switch(f.b.p){case 32:e=cLi(pKi(cLi(d)));exi(b,new pxi((QBi(),xBi),c.b));break;case 31:e=TJi(cLi(d));exi(b,new pxi((QBi(),wBi),c.b));break;case 33:e=cLi(tKi(cLi(d)));exi(b,new pxi((QBi(),yBi),c.b));}}if(e){AMi(f,c.b);e.U2(c.b++);return e}}return a.S2(this,b,c)};var bub=Dgd(7695,kub,null);luc(7704,492,l4n,uJi);_.L2=function(a,b,c){var d;d=pe(ie(Ktb,1),vXm,105,0,[jJi,hJi,gJi,iJi,mJi,oJi,pJi,lJi]);return bJi(a,null,d,b,c)};var aub=Dgd(7704,kub,null);luc(7696,492,l4n,wJi);_.L2=function(a,b,c){var d,e,f,g,h;if(a.tv((Aij(),lij))||a.tv(Pgj)||a.tv(rij)){g=a;d=g.a[0];if(d.tv(Xhj)){h=d;f=me(pub,c3n,136,h.a.length,0,1);for(e=0;e=0&&o<=Rfn){return a.S2(this,b,c)}}f=oLi(zMi(l,rij)?1:2,(DLi(),ALi));j=null;g=null;if(d.tv(Xhj)){m=d;k=me(pub,c3n,136,m.a.length,0,1);i=me(pub,c3n,136,m.a.length,0,1);for(e=0;ef){++c.b;return PJi(g.b,rKi(d,oLi($wnd.Math.floor(h/f),e)))}}}return a.S2(this,b,c)};var gub=Dgd(7700,kub,null);luc(7701,492,l4n,BJi);_.L2=function(a,b,c){var d,e,f,g;if(a.tv((Aij(),lij))||a.tv(Pgj)||a.tv(rij)){f=a;d=f.a[0];if(!d.W2()){return a.S2(this,b,c)}g=d.n_();if(gRfn){return a.S2(this,b,c)}e=null;switch(f.b.p){case 32:if(Ubn0};_.V2=function(){return new cMi(this,ILi(0))};var pub=Cgd(136);luc(k6m,136,{16:1,135:1,1087:1,136:1,648:1,911:1},xLi);_.F2=$oo;_.X2=$oo;_.O2=$oo;_.W2=apo;_.Y2=dpo;_.ye=function(a){if(ff(a,k6m)){return cid(a.b,this.b)&&a.a==this.a}return false};_.Z2=epo;_.$2=Apo;_._2=_oo;_.n_=function(){return 0};_.a3=function(a,b){return 0};_.b3=hpo;_.ze=function(){var a;a=1;a=31*a+this.a;a=31*a+gid(this.b);return a};_.c3=ipo;_.d3=apo;_.tv=jpo;_.S2=kpo;_.e3=apo;_.f3=cpo;_.U2=function(a){vLi(this,a)};_.g3=apo;_.H2=function(a,b){return wLi(this,a,b)};_.Ae=function(){return this.b+this.a};_.a=0;var mub=Cgd(k6m);luc(914,136,{16:1,135:1,914:1,136:1,648:1,911:1},HLi);_.F2=bpo;_.X2=bpo;_.O2=bpo;_.W2=cpo;_.Y2=dpo;_.ye=function(a){var b;if(ff(a,914)){b=a;return isNaN(b.a)&&isNaN(this.a)||Wgd(b.a)&&Wgd(this.a)||$wnd.Math.abs(b.a-this.a)0||GKi(this.d,a)>0};_.tv=jpo;_.S2=function(a,b,c){var d,e;d=a.L2(this.c,b,c);e=a.L2(this.d,b,c);return this.i3(d,e)};_.k3=opo;_.l3=function(a,b){return this.i3(iLi(this.c,a,b),iLi(this.d,a,b))};_.m3=qpo;_.U2=function(a){VLi(this,a)};_.V2=_oo;_.e=false;var Bub=Cgd(796);luc(460,796,{135:1,460:1,648:1,796:1,911:1},cMi,dMi);_.i3=function(a,b){return YLi(this,a,b)};_.F2=ppo;_.O2=ppo;_.j3=ppo;_.k3=opo;_.T2=opo;_.l3=function(a,b){return YLi(this,iLi(this.c,a,b),iLi(this.d,a,b))};_.m3=qpo;_.h3=function(a,b,c,d){var e,f;f=new mxi;e=ULi(this,a,b,f);e=nEi((cEi(),e),f,new gIi);gxi(c,new qxi((QBi(),eAi),pe(ie(brb,1),b3n,135,0,[b])),f,e);if(!Vb(e.c,e.d)){if($wnd.Math.abs(e.c.n_()-e.d.n_())')+(this.b?' ':'= ')+quc(this.d)};_.a=false;_.b=false;var qub=Cgd(419);luc(1428,648,{135:1,1428:1,648:1});_.F2=spo;_.O2=spo;var tub=Cgd(1428);luc(654,1428,{135:1,654:1,1428:1,648:1},nMi);_.F2=tpo;_.q3=tpo;_.O2=tpo;_.p3=function(a){var b,c,d;if(a.W2()){d=a.n_();b=this.a.n_();c=this.c.n_();if(this.b&&$wnd.Math.abs(b-d)e){g=me(pub,c3n,136,this.a.length,0,1);njd(this.a,0,g,0,f)}g!=null&&(g[f]=d)}if(g==null){return this}return HMi(this.b,g)};_.lf=function(){return new LMi(this)};_.e3=function(){return this.b==(Aij(),Mhj)&&this.a[0].e3()};_.f3=function(){var a,b,c,d;switch(this.b.p){case 20:case 21:case 24:case 47:for(b=this.a,c=0,d=b.length;c=0;default:return false;}};_.U2=function(a){AMi(this,a)};_.g3=apo;_.G2=function(a){return DMi(this,a,false)};_.H2=function(a,b){return DMi(this,a,b)};_.Ae=function(){var a,b,c,d,e,f,g;switch(this.b.p){case 18:return this.a[0]+rtn+this.a[1];case 20:g=new hjd;g.a+='(';for(a=0;a