A procedure for solving 1st order DE's with separable variablesby Peter Stone, Dept. of Applied and Environmental Sciences, RMITpeter.stone@rmit.edu.au . . or . . peterstone@optusnet.com.auVersion: 10.12.2003restart;;

RMIT file path to read Maple m-file of differential equation solving procedures with the interface desolve. read "J:\\Class_Notes/Peter Stone/MapleMath/procdrs/DEsol.m";;Another file path. read "D:\\Maple 9/procedures/DEsol.m";;

;

The procedure desolveSV tries to solve a differential equation of the form NiMvKiYlI2R5RyIiIiUjZHhHISIiLSUiZkc2JCUieEclInlH by separating the variables.;

Calling Sequence: desolveSV( de ) desolveSV( {de,ic} ) desolveSV( {de,ic},y(x) )Parameters: de - a first order differential equation with the derivative given in the form diff(y(x),x), (if x and y are the independent and dependent variables respectively). ic - an initial condition in the form y(x0) = y0. Description:The procedure desolveSV attempts to solve a first order differential equation by separating the variables, that is, by arranging it in the form: NiMvLSUkSW50RzYkLSUiZkc2IyUieUdGKi1GJTYkLSUiZ0c2IyUieEdGMA== .If no initial condition is given, a general solution with an arbitrary constant is sought.The arbtirary constant is either NiMmJSJDRzYjIiIi or NiMmJSJDRzYjIiIj.The constant NiMmJSJDRzYjIiIj is used if it is not the same as the constant NiMmJSJDRzYjIiIi first introduced as a constant of integration.Options: info=true/false The option info=true causes the step NiMvLSUkSW50RzYkLSUiZkc2IyUieUdGKi1GJTYkLSUiZ0c2IyUieEdGMA== to be printed and also the resulting equation involving x and y before attempting to solve for y. format=explicit/implicitWhen format=explicit, which is the default option, an attempt is made to solve for y explicitly.

How to activate: To make the procedure active open the subsection, place the cursor anywhere after the prompt [ > and press [Enter]. You can then close up the subsection.

desolveSV := proc(ff) local vars,derivs,x,yx,y,df,dff,e1,opr,np,xops,yops, xps,yps,xe,ye,i,leftint,rightint,ls,rs,soln,soln2, prntflg,Options,j,sols,islog,drv,initcond,sep, de,ic,rsic,lsic,x0,y0,const,expls,exprs,fc,fx, assignedconst,goodsols,frmt,leftOK,rightOK,noint, err,ls0,rs0,val,const2,islg,separate,exp2,lc, startopts,xx,yy,ee,r,k,intfact,ratfact,cc,sol,yy0, dn,algfact,Cs,gt,jS,j1,j2,s,nvars; global C; # Remove any solutions involving "RootOf". goodsols := proc(sol::list) local goodlist,i; goodlist := NULL; for i from 1 to nops(sol) do if indets(sol[i],'specfunc(anything,RootOf)')={} then goodlist := goodlist,sol[i]; end if; end do; [goodlist]; end proc: # of goodsols # Separate into two factors independent and dependent of x separate := proc(f::algebraic,x::symbol) local cansep,opr,np,i,xops,cops,xps,cps,fx,fc; if op(0,f)<>`*` then if member(x,indets(f,name)) then return [1,f] else return [f,1] end if; end if; opr := [op(f)]; np := nops(opr); # Split into 2 lists of factors xops := NULL: cops := NULL: for i from 1 to np do if member(x,indets(opr[i],name)) then xops := xops,opr[i]; else cops := cops,opr[i]; end if; end do; xps := [xops]: cps := [cops]: fx := mul(xps[i],i=1..nops(xps)); fc := mul(cps[i],i=1..nops(cps)); [fc,fx]; end proc: # of separate # Apply exp giving precedence to expressions in x. exp2 := proc(fx::algebraic,x::symbol) local sep,i,ff; ff := expand(fx); if op(0,ff)=`+` then return mul(exp2(op(i,ff),x),i=1..nops(ff)) end if; if op(0,ff)=`*` then sep := separate(ff,x); if type(sep[2],function) and op(0,sep[2])='ln' and nops(sep[2])=1 and type(op(1,sep[2]),algebraic) then return op(1,sep[2])^sep[1]; end if; end if; if type(ff,function) and op(0,ff)='ln' and nops(ff)=1 and type(op(1,ff),algebraic) then return op(1,ff); end if; return simplify(exp(ff)); end proc: # of exp2 # Check whether fx has form of a sum of logs of expressions in x islog := proc(fx::algebraic,x::symbol) local ff,i,opf,sep,islg; islg := true; ff := expand(fx); if op(0,ff)=`+` then opf := [op(ff)]; islg := true; for i from 1 to nops(ff) do sep := separate(opf[i],x); if not type(sep[2],function) or not op(0,sep[2])='ln' or nops(sep[2])<>1 or not type(op(1,sep[2]),algebraic) then islg := false; break; end if; end do; elif type(ff,function) and op(0,ff)=`ln` and nops(ff)=1 then islg := evalb(type(op(1,ff),algebraic) and member(x,indets(op(1,ff),name))); elif op(0,ff)=`*` then sep := separate(ff,x); islg := evalb(type(sep[2],function) and op(0,sep[2])='ln' and nops(sep[2])=1 and type(op(1,sep[2]),algebraic)); else islg := false end if; islg; end proc: # of islog # extract an integer factor from an algebraic expression intfact := proc(ff::algebraic) local fact,ifact,terms,iterms,i; if op(0,ff)=`*` then fact := [op(ff)]; ifact := NULL; for i to nops(fact) do if type(fact[i],integer) then ifact := ifact,fact[i] end if; end do; if nops([ifact])=1 then return abs(ifact) else return 1 end if; elif op(0,ff)=`+` then terms := [op(ff)]; iterms := NULL; for i to nops(terms) do iterms := iterms,intfact(terms[i]) end do; return igcd(iterms); elif type(ff,integer) then return abs(ff) else return 1 end if; end proc; # of intfactor # extract common denom of rational factors from an alg expression ratfact := proc(ff::algebraic) local fact,rfact,terms,rterms,i; if op(0,ff)=`*` then fact := [op(ff)]; rfact := NULL; for i to nops(fact) do if type(fact[i],rational) then rfact := rfact,fact[i] end if; end do; if nops([rfact])=1 then return denom(abs(rfact)) else return 1 end if; elif op(0,ff)=`+` then terms := [op(ff)]; rterms := NULL; for i to nops(terms) do rterms := rterms,ratfact(terms[i]) end do; return ilcm(rterms); elif type(ff,rational) then return denom(abs(ff)) else return 1 end if; end proc; # of ratfact algfact := proc(ff) local i,fact,build; fact := factor(ff); build := 1; if op(0,fact)=`*` then for i to nops(fact) do if numer(op(i,fact))=1 then build := build*denom(op(i,fact)); end if; end do; end if; build; end proc; # start of main procedure initcond := false; if type(ff,set(equation)) and nops(ff)=2 then de := op(1,ff); ic := op(2,ff); if not has(de,diff) then de := op(2,ff); ic := op(1,ff); end if; initcond := true; elif type(ff,equation) then de := ff else error "the 1st argument, %1, is invalid .. it should be an equation or a set of 2 equations" end if; startopts := 2; if nargs>1 then ee := args[2]; if type(ee,function) and nops(ee)=1 then yy := op(0,ee); xx := op(1,ee); if type(xx,name) and type(yy,name) then startopts := 3; else error "the 2nd argument, %1, has incorrect form for the dependent variable",ee; end if; end if; end if; prntflg := false; frmt := 'explicit'; if nargs>1 then Options:=[args[startopts..nargs]]; if not type(Options,list(equation)) then error "each optional argument must be an equation" end if; if hasoption(Options,'info','prntflg','Options') then if prntflg<>true then prntflg := false end if; end if; if hasoption(Options,'format','frmt','Options') then if not (frmt='explicit' or frmt='implicit') then error "\"format\" must be 'explicit' or 'implicit'" end if; end if; if nops(Options)>0 then error "%1 is not a valid option for %2",op(1,Options),procname; end if; end if; if has(de,'D') then de := convert(de,'diff') end if; derivs := indets(de,'specfunc(anything,diff)'); if derivs={} then error "the equation, %1, is not an ordinary differential equation",de; end if; nvars := nops(indets(derivs,'name')); if nvars<>1 then if nvars=0 then error "there is a problem with the independent variable occurring in the derivative(s)"; else error "there should only be one independent variable in the differential equation" end if; end if; nvars := nops(indets(derivs,'anyfunc(name)')); if nvars<>1 then if nvars=0 then error "there is a problem with the dependent variable occurring in the derivative(s)" else error "there should only be one dependent variable in the differential equation" end if; end if; if nops(derivs)<>1 then error "there are too many derivatives in the differential equation .. note that the differential equation must be of order 1" end if; df := op(1,derivs); if type(df,function) and op(0,df)=diff and nops(df)=2 then yx := op(1,df); if not type(yx,anyfunc(name)) then error "the 1st argument %1, in the derivative, %2, is invalid .. it should be the 'unknown' dependent variable",yx,df; end if; x := op(2,df); if not type(x,name) then error "the 2nd argument %1, in the derivative, %2, is invalid .. it should be the dependent variable",x,df; end if; else error "the derivative, %1, does not make sense",df; end if; y := op(0,yx); vars := indets(de,name); if member(y,vars) then error "%1 and %2 cannot both appear in the differential equation",yx,y; end if; if op(1,yx)<>x then error "the derivative, %1, does not make sense",df; end if; if startopts=3 then if x<>xx or y<>yy then error "cannot solve the differential equation for %1",ee; end if; end if; if initcond then lsic := lhs(ic); if type(lsic,function) and op(0,lsic)=y and nops(lsic)=1 and type(op(1,lsic),algebraic) then x0 := op(1,lsic); if has(x0,{x,y}) then error "initial condition must not involve %1 or %2",x,y; end if; else error "initial condition is not decipherable" end if; rsic := rhs(ic); if type(rsic,algebraic) then y0 := rsic; if has(y0,{x,y}) then error "initial condition must not involve %1 or %2",x,y; end if; else error "initial condition is not decipherable" end if; end if; drv := solve(de,df); if nops(goodsols([drv]))=1 then e1 := subs(yx=y,factor(drv)); else error "cannot obtain a unique expression for the derivative" end if; if assigned(C) and not type(eval(C),table) then C := table(); WARNING("C has been redefined as a table for use as arbitrary constants"); end if; # Find the indicex j1,j2 to use in the constants Cs := select(type,indets(de),'specindex(posint,C)'); gt := proc(_u) local s,j; typematch(_u,C[j::posint],'s'); subs(s,j) end proc: jS := sort([op(map(gt,Cs))]); for i to nops(jS)+1 do if not member(i,jS) then j1 := i; break; end if; end do; jS := sort([j1,op(jS)]); for i to nops(jS)+1 do if not member(i,jS) then j2 := i; break; end if; end do; # Handle the special cases first. if not member(y,indets(e1,name)) then xe := e1; rightint := Int(xe,x); if prntflg then print(``); print(`The DE has separable variables . . `); print(y=simplify(rightint)); print(``); end if; val := value(rightint); if indets(val,'specfunc(anything,int)')={} then rs := val; rightOK := true; else rs := Int(subs(x=_u,xe),_u=``..x); rightOK := false; end if; ls := y; leftOK := true; noint := rightOK; soln := ls=rs+C[j1]; goto(1111); end if; if not member(x,indets(e1,name)) then # check for constant solution if initcond then if eval(subs(y=y0,e1))=0 then if prntflg then print(``); print(`The derivative is zero when`,y=y0,`independent of`,x,``); print(`so the initial condition`,y(x0)=y0,`gives a constant solution`); print(``); end if; return yx=y0; end if; end if; ye := simplify(1/e1); leftint := Int(ye,y); rightint := x; if prntflg then print(``); print(`The DE has separable variables . . `); print(simplify(leftint)=x); print(``); end if; val := value(leftint); if indets(val,'specfunc(anything,int)')={} then ls := val; leftOK := true; else ls := Int(subs(y=_u,ye),_u=``..y); leftOK := false; end if; rs := x; rightOK := true; noint := leftOK; soln := ls=rs+C[j1]; goto(1111); end if; e1 := simplify(e1,power,symbolic); if op(0,e1)<>`*` then error "the variables in the ODE cannot be separated" end if; # Split into 2 lists of factors sep := separate(e1,x); fc := sep[1]; fx := sep[2]; sep := separate(fc,y); xe := sep[1]*fx; if member(y,indets(xe,name))then error "the variables in the ODE cannot be separated" end if; ye := simplify(1/sep[2]); leftint := Int(ye,y); rightint := Int(xe,x); if prntflg then print(``); print(`The DE has separable variables . . `); print(simplify(leftint)=simplify(rightint)); print(``); end if; val := value(leftint); if indets(val,'specfunc(anything,int)')={} then ls := val; leftOK := true; else ls := Int(subs(y=_u,ye),_u=``..y); leftOK := false; end if; val := value(rightint); if indets(val,'specfunc(anything,int)')={} then rs := val; rightOK := true; else rs := Int(subs(x=_u,xe),_u=``..x); rightOK := false; end if; noint := leftOK and rightOK; soln := ls=rs+C[j1]; 1111: if frmt='explicit' and leftOK then islg := islog(ls,y); else islg:=false; end if; assignedconst := false; if islg then r := ratfact(ls); if r<>1 then ls := ls*r; rs := rs*r; end if; k := intfact(ls); if k<>1 then ls := ls/k; rs := rs/k; end if; dn := algfact(ls); if dn<>1 then ls := ls*dn; rs := rs*dn; end if; exprs := simplify(exp2(rs,x)); expls := simplify(exp2(ls,y)); soln := expls=C[j2]*exprs; if initcond then if rightOK then const2 := traperror(eval(subs({x=x0,y=y0}, simplify(expls/exprs)))); if const2<>lasterror then soln := simplify(subs(C[j2]=const2,soln)); assignedconst := true; lc := traperror(ln(const2)); if lc<>lasterror then const := simplify(lc); end if; end if; else const2 := traperror(eval(subs(y=y0,expls))); if const2<>lasterror then soln := expls=simplify(const2*exp(r*dn/k*Int(subs(x=_u,xe),_u=x0..x))); const2 := simplify(const2*exp(-r*dn/k*Int(subs(x=_u,xe),_u=``..x0))); assignedconst := true; end if; end if; end if; else if initcond then err := false; if leftOK and rightOK then ls0 := traperror(eval(subs(y=y0,ls))); if ls0=lasterror then err := true end if; rs0 := traperror(eval(subs(x=x0,rs))); if rs0=lasterror then err := true end if; if not err then const := simplify(ls0-rs0); assignedconst := true; soln := subs(C[j1]=const,soln); end if; elif leftOK then ls0 := traperror(eval(subs(y=y0,ls))); if ls0=lasterror then err := true end if; rs0 := Int(subs(x=_u,xe),_u=``..x0); if not err then const := simplify(ls0)-rs0; # needed for printing assignedconst := true; soln := ls=Int(subs(x=_u,xe),_u=x0..x)+ls0; end if; elif rightOK then rs0 := traperror(eval(subs(x=x0,rs))); if rs0=lasterror then err := true end if; ls0 := Int(subs(y=_u,ye),_u=``..y0); if not err then const := ls0-simplify(rs0); # needed for printing assignedconst := true; soln := Int(subs(y=_u,ye),_u=y0..y)=rs-rs0; end if; else rs0 := Int(subs(x=_u,xe),_u=``..x0); ls0 := Int(subs(y=_u,ye),_u=``..y0); const := ls0-rs0; assignedconst := true; soln := Int(subs(y=_u,ye),_u=y0..y)=Int(subs(x=_u,xe),_u=x0..x); end if; end if; end if; soln2 := subs(y=yx,soln); # Try to obtain y explicitly. sols := []; if frmt='explicit' and leftOK then sols := goodsols([solve(soln,y)]); end if; if initcond then if nops(sols)=0 and not assignedconst then error "impossible initial condition" end if; # Check which solution fits the initial condition. if assignedconst then sol := []; for i from 1 to nops(sols) do yy0 := traperror(simplify(value(subs(x=x0,sols[i])))); if yy0<>lasterror and signum(y0-yy0)=0 then sol := [simplify(sols[i])]; break; end if; end do; sols := sol; else # Have another go at finding the constant. if islg then for i from 1 to nops(sols) do cc := traperror([solve(y0=subs(x=x0,sols[i]),C[j2])]); if cc=lasterror then error "impossible initial condition" end if; if cc<>[] then const2 := cc[1]; sols := [simplify(subs(C[j2]=const2,sols[i]))]; break; end if; end do; if cc=[] or has(cc,C) then error "impossible initial condition" end if; else for i from 1 to nops(sols) do cc := traperror([solve(y0=subs(x=x0,sols[i]),C[j1])]); if cc=lasterror then error "impossible initial condition" end if; if cc<>[] then const := cc[1]; sols := [simplify(subs(C[j1]=const,sols[i]))]; break; end if; end do; if cc=[] or has(cc,C) then error "impossible initial condition" end if; end if; end if; end if; if prntflg then if islg then print(ls=rs+C[j1]);print(``); print(expls=C[j2]*exprs); if initcond then print(`Applying the initial condition . . `, C[j2]=simplify(const2)); end if; else print(ls=rs+C[j1]); if initcond then print(`Applying the initial condition . . `, C[j1]=simplify(const)); end if; end if; print(``); end if; if nops(sols)>0 then return seq(yx=simplify(sols[i]),i=1..nops(sols)); else return soln2; end if; end proc:;

Examples are given in the following sections.;

;

NiMvKiYlI2R5RyIiIiUjZHhHISIiKiYlInhHRiYlInlHRig= de := diff(y(x),x) = x/y(x); desolveSV(de,y(x),info=true);

NiM+JSNkZUcvLSUlZGlmZkc2JC0lInlHNiMlInhHRiwqJkYsIiIiRikhIiI=NiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkJSJ5R0YnLUYlNiQlInhHRio=NiMlIUc=NiMvLCQqJiIiIyEiIiUieUdGJiIiIiwmKiZGJkYnJSJ4R0YmRikmJSJDRzYjRilGKQ==NiMlIUc=NiQvLSUieUc2IyUieEcqJCwmKiQpRiciIiMiIiJGLSomRixGLSYlIkNHNiNGLUYtRi0jRi1GLC9GJCwkRighIiI=

dsolve(de);

NiQvLSUieUc2IyUieEcqJCwmKiQpRiciIiMiIiJGLSUkX0MxR0YtI0YtRiwvRiQsJEYoISIi

;

de := diff(y(x),x)=(2*x-1)*sqrt(y(x)); desolveSV(de,info=true); desolve(de);

NiM+SSNkZUc2Ii8tSSVkaWZmR0kqcHJvdGVjdGVkR0YpNiQtSSJ5R0YlNiNJInhHRiVGLiomLCZGLiIiIyEiIiIiIkYzRisjRjNGMQ==

NiNJIUc2Ig==NiNJRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+RzYi

NiMvLUkkSW50RzYkSSpwcm90ZWN0ZWRHRidJKF9zeXNsaWJHNiI2JCokSSJ5R0YpIyEiIiIiI0YsLUYlNiQsJkkieEdGKUYvRi4iIiJGMw==NiNJIUc2Ig==

NiMvLCQqJEkieUc2IiMiIiIiIiNGKiwoKiRJInhHRidGKkYpRi0hIiImSSJDR0YnNiNGKUYpNiNJIUc2Ig==NiMvLUkieUc2IjYjSSJ4R0YmLC4qJEYoIiIlIyIiIkYrKiRGKCIiJCMhIiIiIiMqJkYoRjImSSJDR0YmNiNGLUYtI0YtRjIqJEYoRjJGLComRihGLUY0Ri1GMCokRjRGMkYsNiMvLUkieUc2IjYjSSJ4R0YmLC4qJEYoIiIlIyIiIkYrKiRGKCIiJCMhIiIiIiMqJkYoRjImSSJDR0YmNiNGLUYtI0YtRjIqJEYoRjJGLComRihGLUY0Ri1GMCokRjRGMkYs

factor(%);

NiMvLSUieUc2IyUieEcsJComIyIiIiIiJUYrKiQpLCgqJClGJyIiI0YrRitGJyEiIiYlIkNHNiNGK0YrRjJGK0YrRis=

#Uebung 3.1.3a) de:=diff(y(x),x)-(2+x)*y(x)=0; bed := y(0)=exp(1); desolveSV({de,bed},info=true);

NiM+SSNkZUc2Ii8sJi1JJWRpZmZHSSpwcm90ZWN0ZWRHRio2JC1JInlHRiU2I0kieEdGJUYvIiIiKiYsJiIiI0YwRi9GMEYwRixGMCEiIiIiIQ==NiM+SSRiZWRHNiIvLUkieUdGJTYjIiIhLUkkZXhwRzYkSSpwcm90ZWN0ZWRHRi5JKF9zeXNsaWJHRiU2IyIiIg==NiNJIUc2Ig==NiNJRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+RzYiNiMvLUkkSW50RzYkSSpwcm90ZWN0ZWRHRidJKF9zeXNsaWJHNiI2JCokSSJ5R0YpISIiRiwtRiU2JCwmIiIjIiIiSSJ4R0YpRjJGMw==NiNJIUc2Ig==

NiMvLUkjbG5HNiRJKnByb3RlY3RlZEdGJ0koX3N5c2xpYkc2IjYjSSJ5R0YpLChJInhHRikiIiMqJEYtRi4jIiIiRi4mSSJDR0YpNiNGMUYxNiNJIUc2Ig==NiMvSSJ5RzYiKiYmSSJDR0YlNiMiIiMiIiItSSRleHBHNiRJKnByb3RlY3RlZEdGL0koX3N5c2xpYkdGJTYjLCQqJkkieEdGJUYrLCYiIiVGK0Y0RitGKyNGK0YqRis=NiRJRUFwcGx5aW5nfnRoZX5pbml0aWFsfmNvbmRpdGlvbn4ufi5+fkc2Ii8mSSJDR0YkNiMiIiMtSSRleHBHNiRJKnByb3RlY3RlZEdGLUkoX3N5c2xpYkdGJDYjIiIiNiNJIUc2Ig==NiMvLUkieUc2IjYjSSJ4R0YmLUkkZXhwRzYkSSpwcm90ZWN0ZWRHRixJKF9zeXNsaWJHRiY2IywoIiIiRjBGKCIiIyokRihGMSNGMEYx

de:=diff(y(x),x)*(1+x^2)*sin(y(x))-2*x*cos(y(x))=0; #bed := y(0)=exp(1); #desolveSV({de,bed},info=true); desolveSV(de,info=true);

NiM+SSNkZUc2Ii8sJiooLUklZGlmZkdJKnByb3RlY3RlZEdGKzYkLUkieUdGJTYjSSJ4R0YlRjAiIiIsJkYxRjEqJEYwIiIjRjFGMS1JJHNpbkc2JEYrSShfc3lzbGliR0YlNiNGLUYxRjEqJkYwRjEtSSRjb3NHRjdGOUYxISIjIiIhNiNJIUc2Ig==NiNJRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+RzYiNiMvLUkkSW50RzYkSSpwcm90ZWN0ZWRHRidJKF9zeXNsaWJHNiI2JComLUkkY29zR0YmNiNJInlHRikhIiItSSRzaW5HRiZGLiIiIkYvLCQtRiU2JComSSJ4R0YpRjMsJkYzRjMqJEY4IiIjRjNGMEY4Rjs=NiNJIUc2Ig==NiMvLCQtSSNsbkc2JEkqcHJvdGVjdGVkR0YoSShfc3lzbGliRzYiNiMtSSRjb3NHRic2I0kieUdGKiEiIiwmLUYmNiMsJiIiIkY1KiRJInhHRioiIiNGNUY1JkkiQ0dGKjYjRjVGNQ==NiNJIUc2Ig==NiMvKiQtSSRjb3NHNiRJKnByb3RlY3RlZEdGKEkoX3N5c2xpYkc2IjYjSSJ5R0YqISIiKiYmSSJDR0YqNiMiIiMiIiIsJkYzRjMqJEkieEdGKkYyRjNGMw==NiNJIUc2Ig==NiMvLUkieUc2IjYjSSJ4R0YmLUknYXJjY29zRzYkSSpwcm90ZWN0ZWRHRixJKF9zeXNsaWJHRiY2IyomJkkiQ0dGJjYjIiIjISIiLCYiIiJGNiokRihGM0Y2RjQ=

NiMvKiYlI2R5RyIiIiUjZHhHISIiKiYlInlHRiYtJSRjb3NHNiMlInhHRiY= de := diff(y(x),x) = y(x)*cos(x); desolveSV(de,info=true);

NiM+SSNkZUc2Ii8tSSVkaWZmR0kqcHJvdGVjdGVkR0YpNiQtSSJ5R0YlNiNJInhHRiVGLiomRisiIiItSSRjb3NHNiRGKUkoX3N5c2xpYkdGJUYtRjA=NiNJIUc2Ig==NiNJRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+RzYiNiMvLUkkSW50RzYkSSpwcm90ZWN0ZWRHRidJKF9zeXNsaWJHNiI2JCokSSJ5R0YpISIiRiwtRiU2JC1JJGNvc0dGJjYjSSJ4R0YpRjM=NiNJIUc2Ig==NiMvLUkjbG5HNiRJKnByb3RlY3RlZEdGJ0koX3N5c2xpYkc2IjYjSSJ5R0YpLCYtSSRzaW5HRiY2I0kieEdGKSIiIiZJIkNHRik2I0YxRjE=NiNJIUc2Ig==NiMvSSJ5RzYiKiYmSSJDR0YlNiMiIiMiIiItSSRleHBHNiRJKnByb3RlY3RlZEdGL0koX3N5c2xpYkdGJTYjLUkkc2luR0YuNiNJInhHRiVGKw==NiNJIUc2Ig==NiMvLUkieUc2IjYjSSJ4R0YmKiYmSSJDR0YmNiMiIiMiIiItSSRleHBHNiRJKnByb3RlY3RlZEdGMkkoX3N5c2xpYkdGJjYjLUkkc2luR0YxRidGLg==

dsolve(de);

NiMvLSUieUc2IyUieEcqJiUkX0MxRyIiIi0lJGV4cEc2Iy0lJHNpbkdGJkYq

;

NiMqJCUieEciIiM= NiMvKiYlI2R5RyIiIiUjZHhHISIiLCZGJkYmKiQlInlHIiIjRiY= de := x^2*diff(y(x),x) = 1+y(x)^2; desolveSV(de,info=true);

NiM+JSNkZUcvKiYpJSJ4RyIiIyIiIi0lJWRpZmZHNiQtJSJ5RzYjRihGKEYqLCZGKkYqKiQpRi5GKUYqRio=NiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYiIiJGKCwmRihGKCokKSUieUciIiNGKEYoISIiRiwtRiU2JComRihGKCokKSUieEdGLUYoRi5GNA==NiMlIUc=NiMvLSUnYXJjdGFuRzYjJSJ5RywmKiYiIiJGKiUieEchIiJGLCYlIkNHNiNGKkYqNiMlIUc=NiMvLSUieUc2IyUieEctJSR0YW5HNiMqJiwmIiIiISIiKiYmJSJDRzYjRi1GLUYnRi1GLUYtRidGLg==

dsolve(de);

NiMvLSUieUc2IyUieEctJSR0YW5HNiMqJiwmISIiIiIiKiYlJF9DMUdGLkYnRi5GLkYuRidGLQ==

;

NiMtJSFHNiMsJiIiIkYnKiQlInhHIiIjRic= NiMvKiYlI2R5RyIiIiUjZHhHISIiKigiIiRGJiUieEdGJiUieUdGJg== de := (1+x^2)*diff(y(x),x) = 3*x*y(x); desolveSV(de,info=true);

NiM+JSNkZUcvKiYsJiIiIkYoKiQpJSJ4RyIiI0YoRihGKC0lJWRpZmZHNiQtJSJ5RzYjRitGK0YoLCQqJkYwRihGK0YoIiIkNiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYiIiJGKCUieUchIiJGKSwkLUYlNiQqJiUieEdGKCwmRihGKCokKUYvIiIjRihGKEYqRi8iIiQ=NiMlIUc=NiMvLSUjbG5HNiMlInlHLCYtRiU2IywmIiIiRiwqJCklInhHIiIjRixGLCMiIiRGMCYlIkNHNiNGLEYsNiMlIUc=NiMvJSJ5RyomJiUiQ0c2IyIiIyIiIiksJkYqRioqJCklInhHRilGKkYqIyIiJEYpRio=NiMlIUc=NiMvLSUieUc2IyUieEcqJiYlIkNHNiMiIiMiIiIpLCZGLUYtKiQpRidGLEYtRi0jIiIkRixGLQ==

dsolve(de);

NiMvLSUieUc2IyUieEcqJiUkX0MxRyIiIiksJkYqRioqJClGJyIiI0YqRiojIiIkRi9GKg==

;

NiMvKiYlI2R5RyIiIiUjZHhHISIiLSUlc3FydEc2IyomJSJ4R0YmJSJ5R0Ym de := diff(y(x),x) = sqrt(x*y(x)); desolveSV(de,info=true);

NiM+JSNkZUcvLSUlZGlmZkc2JC0lInlHNiMlInhHRiwqJComRiwiIiJGKUYvI0YvIiIjNiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYiIiJGKCokJSJ5RyNGKCIiIyEiIkYqLUYlNiQqJCUieEdGK0YxNiMlIUc=NiMvLCQqJiIiIyIiIiUieUcjRidGJkYnLCYqKEYmRiciIiQhIiIlInhHI0YsRiZGJyYlIkNHNiNGJ0YnNiMlIUc=NiMvLSUieUc2IyUieEcsKComIiIqISIiRiciIiQiIiIqJiNGLUYsRi0qJilGJyNGLCIiI0YtJiUiQ0c2I0YtRi1GLUYtKiYjRi0iIiVGLSokKUY0RjNGLUYtRi0=

de := diff(y(x),x) = sqrt(x)*sqrt(y(x)); dsolve(de); solve(%,y(x));

NiM+JSNkZUcvLSUlZGlmZkc2JC0lInlHNiMlInhHRiwqJkYsIyIiIiIiI0YpRi4=NiMvLCgqJC0lInlHNiMlInhHIyIiIiIiI0YrKiYiIiQhIiJGKSNGLkYsRi8lJF9DMUdGLyIiIQ==NiMsKComIiIqISIiJSJ4RyIiJCIiIioqIiIjRilGKEYmRicjRihGKyUkX0MxR0YpRikqJClGLUYrRilGKQ==

;

NiMtJSFHNiMsJiIiIkYnKiYiIiNGJyUieEdGJyEiIg== NiMvKiYlI2R5RyIiIiUjZHhHISIiKiYlInhHRiYqJCUieUciIiNGJg== de := (1-2*x)*diff(y(x),x) = x*y(x)^2/(1+x); desolveSV(de,info=true);

NiM+JSNkZUcvKiYsJiIiIkYoKiYiIiNGKCUieEdGKCEiIkYoLSUlZGlmZkc2JC0lInlHNiNGK0YrRigqKEYrRihGMEYqLCZGK0YoRihGKEYsNiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYiIiJGKCokKSUieUciIiNGKCEiIkYrLCQtRiU2JCooJSJ4R0YoLCZGMkYoRihGKEYtLCZGLUYoKiZGLEYoRjJGKEYoRi1GMkYtNiMlIUc=NiMvLCQqJiIiIkYmJSJ5RyEiIkYoLCgtJSNsbkc2IywmJSJ4R0YmRiZGJiNGKCIiJComI0YmIiInRiYtRis2IywmRihGJiomIiIjRiZGLkYmRiZGJkYoJiUiQ0c2I0YmRiY=NiMlIUc=NiMvLSUieUc2IyUieEcsJComIiIiRiosKC0lI2xuRzYjLCZGJ0YqRipGKiEiIy1GLTYjLCYhIiJGKiomIiIjRipGJ0YqRipGNComIiInRiomJSJDRzYjRipGKkYqRjQhIic=

dsolve(de);

NiMvLSUieUc2IyUieEcsJComIiIiRiosKC0lI2xuRzYjLCZGJ0YqRipGKiIiIy1GLTYjLCYhIiJGKiomRjBGKkYnRipGKkYqKiYiIidGKiUkX0MxR0YqRipGNEY3

;

NiMqJiUieEciIiIsJkYlRiVGJEYlRiU= NiMvKiYlI2R5RyIiIiUjZHhHISIiKiYlInlHRiYsJkYmRiZGKkYmRiY= de := x*(1+x)*diff(y(x),x) = y(x)*(y(x)+1); desolveSV(de,info=true);

NiM+JSNkZUcvKiglInhHIiIiLCZGJ0YoRihGKEYoLSUlZGlmZkc2JC0lInlHNiNGJ0YnRigqJkYtRigsJkYtRihGKEYoRig=NiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYiIiJGKComJSJ5R0YoLCZGKkYoRihGKEYoISIiRiotRiU2JComRihGKComJSJ4R0YoLCZGMUYoRihGKEYoRixGMQ==NiMlIUc=NiMvLCYtJSNsbkc2IyUieUciIiItRiY2IywmRihGKUYpRikhIiIsKC1GJjYjJSJ4R0YpLUYmNiMsJkYxRilGKUYpRi0mJSJDRzYjRilGKQ==NiMlIUc=NiMvKiYlInlHIiIiLCZGJUYmRiZGJiEiIiooJiUiQ0c2IyIiI0YmJSJ4R0YmLCZGLkYmRiZGJkYoNiMlIUc=NiMvLSUieUc2IyUieEcsJCooJiUiQ0c2IyIiIyIiIkYnRi4sKEYnISIiRi5GMComRipGLkYnRi5GLkYwRjA=

dsolve(de);

NiMvLSUieUc2IyUieEcqJkYnIiIiLChGKUYpJSRfQzFHRikqJkYrRilGJ0YpRikhIiI=

;

NiMvKiYlI2R5RyIiIiUjZHhHISIiKigiIiNGJiUieEdGJi0lJXNxcnRHNiMsJkYmRiYqJCUieUdGKkYoRiY= de := diff(y(x),x) = 2*x*sqrt(1-y(x)^2); desolveSV(de,info=true);

NiM+JSNkZUcvLSUlZGlmZkc2JC0lInlHNiMlInhHRiwsJComRiwiIiItJSVzcXJ0RzYjLCZGL0YvKiQpRikiIiNGLyEiIkYvRjY=NiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYiIiJGKCokLSUlc3FydEc2IywmKiQpJSJ5RyIiI0YoISIiRihGKEYoRjJGMCwkLUYlNiQlInhHRjZGMQ==NiMlIUc=NiMvLSUnYXJjc2luRzYjJSJ5RywmKiQpJSJ4RyIiIyIiIkYtJiUiQ0c2I0YtRi0=NiMlIUc=NiMvLSUieUc2IyUieEctJSRzaW5HNiMsJiokKUYnIiIjIiIiRi8mJSJDRzYjRi9GLw==

dsolve(de);

NiMvLSUieUc2IyUieEctJSRzaW5HNiMsJiokKUYnIiIjIiIiRi8qJkYuRi8lJF9DMUdGL0Yv

;

NiMqJiUieUciIiIlInhHISIi NiMvKiYlI2R5RyIiIiUjZHhHISIiKiYtJSRleHBHNiMlInhHRiYtJSNsbkc2IyUieUdGKA== First we obtain a solution in implicit form.de := y(x)/x*diff(y(x),x)=exp(x)/ln(y(x)); desolveSV(de,info=true,format=implicit);

NiM+JSNkZUcvKigtJSJ5RzYjJSJ4RyIiIkYqISIiLSUlZGlmZkc2JEYnRipGKyomLSUkZXhwR0YpRistJSNsbkc2I0YnRiw=NiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYlInlHIiIiLSUjbG5HNiNGKEYpRigtRiU2JComLSUkZXhwRzYjJSJ4R0YpRjNGKUYzNiMlIUc=NiMvLCYqJiMiIiIiIiNGJyomKSUieUdGKEYnLSUjbG5HNiNGK0YnRidGJyomIiIlISIiRitGKEYxLCgqJi0lJGV4cEc2IyUieEdGJ0Y3RidGJ0Y0RjEmJSJDRzYjRidGJw==NiMlIUc=NiMvLCYqJiMiIiIiIiNGJyomKS0lInlHNiMlInhHRihGJy0lI2xuRzYjRitGJ0YnRicqJiNGJyIiJUYnKiRGKkYnRichIiIsKComLSUkZXhwR0YtRidGLkYnRidGOUY2JiUiQ0c2I0YnRic=

dsolve gives the same result.dsolve(de,implicit);

NiMvLCwqJi0lJGV4cEc2IyUieEciIiJGKUYqRipGJiEiIiomI0YqIiIjRioqJiktJSJ5R0YoRi5GKi0lI2xuRzYjRjFGKkYqRisqJiNGKiIiJUYqRjBGKkYqJSRfQzFHRioiIiE=

We can obtain an explicit solution in terms of the Lambert W function NiMtJSJXRzYjJSJ4Rw==. NiMtJSJXRzYjJSJ4Rw== is an inverse function for NiMvLSUiZkc2IyUieEcqJkYnIiIiLSUkZXhwR0YmRik=, and is given in Maple by LambertW(x). desolve(de);

NiMvLSUieUc2IyUieEcsJCokLSUlc3FydEc2IyomLCgqJi0lJGV4cEdGJiIiIkYnRjJGMkYwISIiJiUiQ0c2I0YyRjJGMi0lKUxhbWJlcnRXRzYjLCQqJkYuRjItRjE2I0YzRjIiIiVGM0YyIiIj

dsolve's solution looks a bit different. dsolve(de);

NiMvLSUieUc2IyUieEctJSRleHBHNiMsJi0lKUxhbWJlcnRXRzYjKiYsKComLUYpRiYiIiJGJ0YzIiIlKiZGNEYzRjJGMyEiIiomRjRGMyUkX0MxR0YzRjNGMy1GKTYjRjZGMyNGMyIiI0Y7RjM=

;

NiMsJiomJSJ0RyIiIywmJSJ6RyIiIkYpRilGKUYpKiZGKEYmLCZGJUYpRikhIiJGKUYp NiMvKiYlI2R6RyIiIiUjZHRHISIiIiIh de := t^2*(z(t)+1) +z(t)^2*(t-1)*diff(z(t),t) = 0; desolveSV(de,info=true);

NiM+JSNkZUcvLCYqJiklInRHIiIjIiIiLCYtJSJ6RzYjRilGK0YrRitGK0YrKigpRi1GKkYrLCZGKUYrRishIiJGKy0lJWRpZmZHNiRGLUYpRitGKyIiIQ==NiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYsJiUiekciIiJGKkYqISIiRikiIiNGKSwkLUYlNiQqJiUidEdGLCwmRjFGKkYqRitGK0YxRis=NiMlIUc=NiMvLCgqJiIiIyEiIiUiekdGJiIiIkYoRictJSNsbkc2IywmRihGKUYpRilGKSwqKiZGJkYnJSJ0R0YmRidGMEYnLUYrNiMsJkYwRilGKUYnRicmJSJDRzYjRilGKQ==NiMlIUc=NiMvLCgqJiMiIiIiIiNGJyokKS0lInpHNiMlInRHRihGJ0YnRidGKyEiIi0lI2xuRzYjLCZGK0YnRidGJ0YnLCoqJkYoRi9GLkYoRi9GLkYvLUYxNiMsJkYuRidGJ0YvRi8mJSJDRzYjRidGJw==

dsolve(de);

NiMvLDAqJiIiIyEiIiUidEdGJiIiIkYoRiktJSNsbkc2IywmRihGKUYpRidGKSomI0YpRiZGKSokKS0lInpHNiNGKEYmRilGKUYpRjJGJy1GKzYjLCZGMkYpRilGKUYpJSRfQzFHRikiIiE=

;

;

;

NiMvKiYlI2R5RyIiIiUjZHhHISIiKiYlInhHRiYlInlHRig= subject to the initial condition NiMvLSUieUc2IyIiISIiIg== de := diff(y(x),x)=x/y(x); ic := y(0)=1; desolveSV({de,ic},y(x),info=true); g := unapply(rhs(%),x);

NiM+JSNkZUcvLSUlZGlmZkc2JC0lInlHNiMlInhHRiwqJkYsIiIiRikhIiI=NiM+JSNpY0cvLSUieUc2IyIiISIiIg==NiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkJSJ5R0YnLUYlNiQlInhHRio=NiMlIUc=NiMvLCQqJiIiIyEiIiUieUdGJiIiIiwmKiZGJkYnJSJ4R0YmRikmJSJDRzYjRilGKQ==NiQlRUFwcGx5aW5nfnRoZX5pbml0aWFsfmNvbmRpdGlvbn4ufi5+fkcvJiUiQ0c2IyIiIiNGKCIiIw==NiMlIUc=NiMvLSUieUc2IyUieEcqJCwmKiQpRiciIiMiIiJGLUYtRi0jRi1GLA==NiM+JSJnR2YqNiMlInhHNiI2JCUpb3BlcmF0b3JHJSZhcnJvd0dGKCokLCYqJCk5JCIiIyIiIkYyRjJGMiNGMkYxRihGKEYo

plot(g(x),x=0..4,y=0..4.1,labels=[`x`,`y(x)`]);

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

;

de := diff(y(x),x)=(2*x-1)*sqrt(y(x)); ic := y(1)=9; #desolveSV(de,info=true); desolveSV({de,ic},y(x),info=true); factor(%); g := unapply(rhs(%),x); #dsolve(de);

NiM+JSNkZUcvLSUlZGlmZkc2JC0lInlHNiMlInhHRiwqJiwmKiYiIiMiIiJGLEYxRjFGMSEiIkYxRikjRjFGMA==NiM+JSNpY0cvLSUieUc2IyIiIiIiKg==NiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYiIiJGKCokJSJ5RyNGKCIiIyEiIkYqLUYlNiQsJiomRixGKCUieEdGKEYoRihGLUYyNiMlIUc=NiMvLCQqJiIiIyIiIiUieUcjRidGJkYnLCgqJCklInhHRiZGJ0YnRi0hIiImJSJDRzYjRidGJw==NiQlRUFwcGx5aW5nfnRoZX5pbml0aWFsfmNvbmRpdGlvbn4ufi5+fkcvJiUiQ0c2IyIiIiIiJw==NiMlIUc=NiMvLSUieUc2IyUieEcsLComIyIiIiIiJUYrKiQpRidGLEYrRitGKyomI0YrIiIjRisqJClGJyIiJEYrRishIiIqJiMiIzhGLEYrKiQpRidGMUYrRitGKyomRjRGK0YnRitGNSIiKkYrNiMvLSUieUc2IyUieEcsJComIiIlISIiLCgqJClGJyIiIyIiIkYwRidGKyIiJ0YwRi9GMA==NiM+JSJnR2YqNiMlInhHNiI2JCUpb3BlcmF0b3JHJSZhcnJvd0dGKCwkKiYjIiIiIiIlRi8qJCksKCokKTkkIiIjRi9GL0Y2ISIiIiInRi9GN0YvRi9GL0YoRihGKA==

de := x*diff(y(x),x)+y(x)=ln(x)+1; ic := y(1)=3; #desolveSV(de,info=true); desolveSV({de,ic},y(x),info=true); fakorisiert:=factor(%); g := unapply(rhs(%),x); #dsolve(de);

NiM+JSNkZUcvLCYqJiUieEciIiItJSVkaWZmRzYkLSUieUc2I0YoRihGKUYpRi1GKSwmLSUjbG5HRi9GKUYpRik=NiM+JSNpY0cvLSUieUc2IyIiIiIiJA==Error, (in desolveSV) the variables in the ODE cannot be separated NiM+JSxmYWtvcmlzaWVydEcvLSUieUc2IyIiIiIiJA==NiM+JSJnRyIiJA==

NiMvKiYlI2R5RyIiIiUjZHhHISIiKiYlInlHRiYtJSRjb3NHNiMlInhHRiY= subject to the initial condition NiMvLSUieUc2IyIiISIiIg== de := diff(y(x),x)=y(x)*cos(x); ic := y(0)=1; desolveSV({de,ic},info=true); g := unapply(rhs(%),x);

NiM+JSNkZUcvLSUlZGlmZkc2JC0lInlHNiMlInhHRiwqJkYpIiIiLSUkY29zR0YrRi4=NiM+JSNpY0cvLSUieUc2IyIiISIiIg==NiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYiIiJGKCUieUchIiJGKS1GJTYkLSUkY29zRzYjJSJ4R0YwNiMlIUc=NiMvLSUjbG5HNiMlInlHLCYtJSRzaW5HNiMlInhHIiIiJiUiQ0c2I0YtRi0=NiMlIUc=NiMvJSJ5RyomJiUiQ0c2IyIiIyIiIi0lJGV4cEc2Iy0lJHNpbkc2IyUieEdGKg==NiQlRUFwcGx5aW5nfnRoZX5pbml0aWFsfmNvbmRpdGlvbn4ufi5+fkcvJiUiQ0c2IyIiIyIiIg==NiMlIUc=NiMvLSUieUc2IyUieEctJSRleHBHNiMtJSRzaW5HRiY=NiM+JSJnRy0lIkBHNiQlJGV4cEclJHNpbkc=

plot(g(x),x=1..10,labels=[`x`,`y(x)`]);

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

;

de:=diff(y(x),x)-2*y(x)=cos(x)+x^2+1; ic := y(0)=10^(-5)-23/20; #desolveSV(de,info=true); desolveSV({de,ic},y(x),info=true); fakorisiert:=factor(%); g := unapply(rhs(%),x); #dsolve(de);

NiM+JSNkZUcvLCYtJSVkaWZmRzYkLSUieUc2IyUieEdGLSIiIiomIiIjRi5GKkYuISIiLCgtJSRjb3NHRixGLiokKUYtRjBGLkYuRi5GLg==NiM+JSNpY0cvLSUieUc2IyIiISMhJyoqXDYiJysrNQ==Error, (in desolveSV) the variables in the ODE cannot be separated NiM+JSxmYWtvcmlzaWVydEcvLSUieUc2IyIiISMhJyoqXDYiJysrNQ==NiM+JSJnRyMhJyoqXDYiJysrNQ==

NiMqJCUieEciIiM= NiMvKiYlI2R5RyIiIiUjZHhHISIiLCZGJkYmKiQlInlHIiIjRiY= subject to the initial condition NiMvLSUieUc2IyIiIkYn de := x^2*diff(y(x),x)=1+y(x)^2; ic := y(1)=1; desolveSV({de,ic},info=true); g := unapply(rhs(%),x);

NiM+JSNkZUcvKiYpJSJ4RyIiIyIiIi0lJWRpZmZHNiQtJSJ5RzYjRihGKEYqLCZGKkYqKiQpRi5GKUYqRio=NiM+JSNpY0cvLSUieUc2IyIiIkYpNiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYiIiJGKCwmRihGKCokKSUieUciIiNGKEYoISIiRiwtRiU2JComRihGKCokKSUieEdGLUYoRi5GNA==NiMlIUc=NiMvLSUnYXJjdGFuRzYjJSJ5RywmKiYiIiJGKiUieEchIiJGLCYlIkNHNiNGKkYqNiQlRUFwcGx5aW5nfnRoZX5pbml0aWFsfmNvbmRpdGlvbn4ufi5+fkcvJiUiQ0c2IyIiIiwmKiYiIiUhIiIlI1BpR0YoRihGKEYoNiMlIUc=NiMvLSUieUc2IyUieEctJSR0YW5HNiMsJCooIiIlISIiLChGLUYuKiYlI1BpRyIiIkYnRjJGMiomRi1GMkYnRjJGMkYyRidGLkYyNiM+JSJnR2YqNiMlInhHNiI2JCUpb3BlcmF0b3JHJSZhcnJvd0dGKC0lJHRhbkc2IywkKiYjIiIiIiIlRjIqJiwoRjMhIiIqJiUjUGlHRjI5JEYyRjIqJkYzRjJGOUYyRjJGMkY5RjZGMkYyRihGKEYo

plot(g(x),x=1..3,0..9,labels=[`x`,`y(x)`]);

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

The solution given by dsolve looks rather different, but turns out to be equivalent to the solution given by desolve. de := x^2*diff(y(x),x) = 1+y(x)^2; ic := y(1)=1; dsolve({de,ic},y(x)); h := unapply(rhs(%),x):

NiM+JSNkZUcvKiYpJSJ4RyIiIyIiIi0lJWRpZmZHNiQtJSJ5RzYjRihGKEYqLCYqJClGLkYpRipGKkYqRio=NiM+JSNpY0cvLSUieUc2IyIiIkYpNiMvLSUieUc2IyUieEctJSR0YW5HNiMqJiwmISIiIiIiKiYtJSdhcmN0YW5HNiMqJiwmLUYpNiNGLkYuRi5GLkYuLCZGLUYuRjVGLkYtRi5GJ0YuRi1GLkYnRi0=

plot([g(x),h(x)],x=1..3,0..9,color=[red,green], thickness=[1,2],labels=[`x`,`y(x)`]);

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

;

First note that NiMvLSUnYXJjdGFuRzYjKiYsJi0lJHRhbkc2IyIiIkYsRixGLEYsLCZGKUYsRiwhIiJGLiwmKigiIiRGLCUjUGlHRiwiIiVGLkYsRixGLg==, since, using the formula NiMvLSUkdGFuRzYjLCYlJmFscGhhRyIiIiUlYmV0YUchIiIqJiwmLUYlNiNGKEYpLUYlNiNGKkYrRiksJkYpRikqJkYuRilGMEYpRilGKw==, we have NiMvLSUkdGFuRzYjLCYqKCIiJCIiIiUjUGlHRioiIiUhIiJGKkYqRi0qJiwmLUYlNiNGKEYqLUYlNiNGKkYtRiosJkYqRioqJkYwRipGMkYqRipGLQ== = NiMvKiYsJiIiIiEiIi0lJHRhbkc2I0YmRidGJiwmRiZGJkYoRidGJyomLCZGKEYmRiZGJkYmLCZGKEYmRiZGJ0Yn. We can also check this empirically thus . . .arctan((tan(1)+1)/(-1+tan(1))); evalf(%); 3*Pi/4-1; evalf(%);

NiMtJSdhcmN0YW5HNiMqJiwmLSUkdGFuRzYjIiIiRitGK0YrRissJiEiIkYrRihGK0YtNiMkIishXCU+YzghIio=NiMsJiUjUGlHIyIiJCIiJSIiIiEiIg==NiMkIishXCU+YzghIio=

;Hence the solution NiMvLSUieUc2IyUieEctJSR0YW5HNiMqJiwmIiIiISIiKiYtJSdhcmN0YW5HNiMqJiwmLUYpNiNGLUYtRi1GLUYtLCZGLUYuRjVGLUYuRi1GJ0YtRi5GLUYnRi4= obtained using dsolve can be written in the form NiMvLSUieUc2IyUieEctJSR0YW5HNiMqJiwmIiIiISIiKiYsJiooIiIkRi0lI1BpR0YtIiIlRi5GLUYtRi5GLUYnRi1GLkYtRidGLg== or NiMvLSUieUc2IyUieEctJSR0YW5HNiMsKComIiIiRi1GJyEiIkYuRi1GLSooIiIkRi0lI1BpR0YtIiIlRi5GLg== or, since the tangent function has period NiMlI1BpRw==, NiMvLSUieUc2IyUieEctJSR0YW5HNiMsKComIiIiRi1GJyEiIkYuRi1GLSomJSNQaUdGLSIiJUYuRi0=. This is the same as the solution NiMvLSUieUc2IyUieEctJSR0YW5HNiMqJi0lIUc2IyomIiIiRjAiIiUhIiJGMC1GLTYjKiYsKEYxRjIqJiUjUGlHRjBGJ0YwRjAqJkYxRjBGJ0YwRjBGMEYnRjJGMA== given by desolve. ;

;

NiMtJSFHNiMsJiIiIkYnKiQlInhHIiIjRic= NiMvKiYlI2R5RyIiIiUjZHhHISIiKigiIiRGJiUieEdGJiUieUdGJg== subject to the initial condition NiMvLSUieUc2IyIiISIiIg== de := (1+x^2)*diff(y(x),x)=3*x*y(x); ic := y(0)=1; desolveSV({de,ic},info=true); g := unapply(rhs(%),x);

NiM+JSNkZUcvKiYsJiokKSUieEciIiMiIiJGLEYsRixGLC0lJWRpZmZHNiQtJSJ5RzYjRipGKkYsLCQqKCIiJEYsRipGLEYwRixGLA==NiM+JSNpY0cvLSUieUc2IyIiISIiIg==NiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYiIiJGKCUieUchIiJGKSwkKiYiIiRGKC1GJTYkKiYlInhHRigsJiokKUYxIiIjRihGKEYoRihGKkYxRihGKA==NiMlIUc=NiMvLSUjbG5HNiMlInlHLCYqJiMiIiQiIiMiIiItRiU2IywmKiQpJSJ4R0YsRi1GLUYtRi1GLUYtJiUiQ0c2I0YtRi0=NiMlIUc=NiMvJSJ5RyomJiUiQ0c2IyIiIyIiIiksJiokKSUieEdGKUYqRipGKkYqIyIiJEYpRio=NiQlRUFwcGx5aW5nfnRoZX5pbml0aWFsfmNvbmRpdGlvbn4ufi5+fkcvJiUiQ0c2IyIiIyIiIg==NiMlIUc=NiMvLSUieUc2IyUieEcqJCksJiokKUYnIiIjIiIiRi5GLkYuIyIiJEYtRi4=NiM+JSJnR2YqNiMlInhHNiI2JCUpb3BlcmF0b3JHJSZhcnJvd0dGKCokKSwmKiQpOSQiIiMiIiJGM0YzRjMjIiIkRjJGM0YoRihGKA==

plot(g(x),x=0..2,y=0..11,labels=[`x`,`y(x)`]);

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

;

NiMvKiYlI2R5RyIiIiUjZHhHISIiLSUlc3FydEc2IyomJSJ4R0YmJSJ5R0Ym subject to the initial condition NiMvLSUieUc2IyIiISIiIg== de := diff(y(x),x)=sqrt(x*y(x)); ic := y(0)=1; desolveSV({de,ic},info=true); g := unapply(rhs(%),x);

NiM+JSNkZUcvLSUlZGlmZkc2JC0lInlHNiMlInhHRiwqJComRiwiIiJGKUYvI0YvIiIjNiM+JSNpY0cvLSUieUc2IyIiISIiIg==NiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYiIiJGKCokJSJ5RyNGKCIiIyEiIkYqLUYlNiQqJCUieEdGK0YxNiMlIUc=NiMvLCQqJiIiIyIiIiUieUcjRidGJkYnLCYqKEYmRiciIiQhIiIlInhHI0YsRiZGJyYlIkNHNiNGJ0YnNiQlRUFwcGx5aW5nfnRoZX5pbml0aWFsfmNvbmRpdGlvbn4ufi5+fkcvJiUiQ0c2IyIiIiIiIw==NiMlIUc=NiMvLSUieUc2IyUieEcsKComIiIqISIiRiciIiQiIiIqKCIiI0YtRixGK0YnI0YsRi9GLUYtRi0=NiM+JSJnR2YqNiMlInhHNiI2JCUpb3BlcmF0b3JHJSZhcnJvd0dGKCwoKiYjIiIiIiIqRi8qJCk5JCIiJEYvRi9GLyomIyIiI0Y0Ri8qJClGMyNGNEY3Ri9GL0YvRi9GL0YoRihGKA==

plot(g(x),x=0..2,y=0..4,labels=[`x`,`y(x)`]);

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

de := diff(y(x),x)=sqrt(x)*sqrt(y(x)); ic := y(0)=1; dsolve({de,ic},y(x)); allvalues(%);

NiM+JSNkZUcvLSUlZGlmZkc2JC0lInlHNiMlInhHRiwqJkYsIyIiIiIiI0YpRi4=NiM+JSNpY0cvLSUieUc2IyIiISIiIg==NiMvLSUieUc2IyUieEctJSdSb290T2ZHNiMsKComIiIkIiIiJSNfWkcjRi4iIiMhIiIqJClGJyNGLUYxRi5GLkYtRi4=NiMvLSUieUc2IyUieEcsKComIiIqISIiRiciIiQiIiIqKCIiI0YtRixGK0YnI0YsRi9GLUYtRi0=

;

NiMtJSFHNiMsJiIiIkYnKiYiIiNGJyUieEdGJyEiIg== NiMvKiYlI2R5RyIiIiUjZHhHISIiKiYlInhHRiYqJCUieUciIiNGJg== subject to the initial condition NiMvLSUieUc2IyIiIkYn de := (1-2*x)*diff(y(x),x)=x*y(x)^2/(1+x); ic := y(1)=1; desolveSV({de,ic},info=true); g := unapply(rhs(%),x);

NiM+JSNkZUcvKiYsJiIiIkYoKiYiIiNGKCUieEdGKCEiIkYoLSUlZGlmZkc2JC0lInlHNiNGK0YrRigqKEYrRihGMEYqLCZGKEYoRitGKEYsNiM+JSNpY0cvLSUieUc2IyIiIkYpNiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYiIiJGKCokKSUieUciIiNGKCEiIkYrLCQtRiU2JCooJSJ4R0YoLCZGKEYoRjJGKEYtLCZGKEYtKiZGLEYoRjJGKEYoRi1GMkYtNiMlIUc=NiMvLCQqJiIiIkYmJSJ5RyEiIkYoLCgqJiNGJiIiJEYmLSUjbG5HNiMsJkYmRiYlInhHRiZGJkYoKiYjRiYiIidGJi1GLjYjLCZGJkYoKiYiIiNGJkYxRiZGJkYmRigmJSJDRzYjRiZGJg==NiQlRUFwcGx5aW5nfnRoZX5pbml0aWFsfmNvbmRpdGlvbn4ufi5+fkcvJiUiQ0c2IyIiIiwmRighIiIqJiNGKCIiJEYoLSUjbG5HNiMiIiNGKEYoNiMlIUc=NiMvLSUieUc2IyUieEcsJComIiInIiIiLCoqJiIiI0YrLSUjbG5HNiMsJkYrRitGJ0YrRishIiItRjA2IywmRitGMyomRi5GK0YnRitGK0YzRipGMyomRi5GKy1GMDYjRi5GK0YrRjNGMw==NiM+JSJnR2YqNiMlInhHNiI2JCUpb3BlcmF0b3JHJSZhcnJvd0dGKCwkKiYiIiciIiIsKiomIiIjRi8tJSNsbkc2IywmOSRGL0YvRi9GLyEiIi1GNDYjLCZGL0Y4KiZGMkYvRjdGL0YvRjhGLkY4KiZGMkYvLUY0NiNGMkYvRi9GOEY4RihGKEYo

plot(g(x),x=1..6,y=0..1,labels=[`x`,`y(x)`]);

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

dsolve({de,ic},y(x));

NiMvLSUieUc2IyUieEcsJComIiIiRiosKi0lI2xuRzYjLCZGKkYqRidGKiIiIy1GLTYjLCYhIiJGKiomRjBGKkYnRipGKkYqIiInRioqJkYwRiotRi02I0YwRipGNEY0RjY=

;

NiMqJiUieEciIiIsJkYlRiVGJEYlRiU= NiMvKiYlI2R5RyIiIiUjZHhHISIiKiYlInlHRiYsJkYmRiZGKkYmRiY= subject to the initial condition NiMvLSUieUc2IyIiIiIiIw== de := x*(1+x)*diff(y(x),x)=y(x)*(y(x)+1); ic := y(1)=2; desolveSV({de,ic},info=true); g := unapply(rhs(%),x);

NiM+JSNkZUcvKiglInhHIiIiLCZGKEYoRidGKEYoLSUlZGlmZkc2JC0lInlHNiNGJ0YnRigqJkYtRigsJkYtRihGKEYoRig=NiM+JSNpY0cvLSUieUc2IyIiIiIiIw==NiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYiIiJGKComJSJ5R0YoLCZGKkYoRihGKEYoISIiRiotRiU2JComRihGKComJSJ4R0YoLCZGKEYoRjFGKEYoRixGMQ==NiMlIUc=NiMvLCYtJSNsbkc2IyUieUciIiItRiY2IywmRihGKUYpRikhIiIsKC1GJjYjJSJ4R0YpLUYmNiMsJkYpRilGMUYpRi0mJSJDRzYjRilGKQ==NiMlIUc=NiMvKiYlInlHIiIiLCZGJUYmRiZGJiEiIiooJiUiQ0c2IyIiI0YmJSJ4R0YmLCZGJkYmRi5GJkYoNiQlRUFwcGx5aW5nfnRoZX5pbml0aWFsfmNvbmRpdGlvbn4ufi5+fkcvJiUiQ0c2IyIiIyMiIiUiIiQ=NiMlIUc=NiMvLSUieUc2IyUieEcsJCooIiIlIiIiRidGKywmIiIkISIiRidGK0YuRi4=NiM+JSJnR2YqNiMlInhHNiI2JCUpb3BlcmF0b3JHJSZhcnJvd0dGKCwkKigiIiUiIiI5JEYvLCYiIiQhIiJGMEYvRjNGM0YoRihGKA==

plot(g(x),x=1..2,0..8.2,labels=[`x`,`y(x)`]);

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

dsolve({de,ic},y(x));

NiMvLSUieUc2IyUieEcqJkYnIiIiLCYjIiIkIiIlRikqJiNGKUYtRilGJ0YpISIiRjA=

;

NiMqJiUieUciIiIlInhHISIi NiMvKiYlI2R5RyIiIiUjZHhHISIiKiYtJSRleHBHNiMlInhHRiYtJSNsbkc2IyUieUdGKA==, subject to the initial condition NiMvLSUieUc2IyIiIkYn de := y(x)/x*diff(y(x),x)=exp(x)/ln(y(x)); ic := y(1)=1; desolveSV({de,ic},y(x),info=true); g := unapply(rhs(%),x);

NiM+JSNkZUcvKigtJSJ5RzYjJSJ4RyIiIkYqISIiLSUlZGlmZkc2JEYnRipGKyomLSUkZXhwR0YpRistJSNsbkc2I0YnRiw=NiM+JSNpY0cvLSUieUc2IyIiIkYpNiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYlInlHIiIiLSUjbG5HNiNGKEYpRigtRiU2JComLSUkZXhwRzYjJSJ4R0YpRjNGKUYzNiMlIUc=NiMvLCYqJiMiIiIiIiNGJyomKSUieUdGKEYnLSUjbG5HNiNGK0YnRidGJyomIiIlISIiRitGKEYxLCgqJi0lJGV4cEc2IyUieEdGJ0Y3RidGJ0Y0RjEmJSJDRzYjRidGJw==NiQlRUFwcGx5aW5nfnRoZX5pbml0aWFsfmNvbmRpdGlvbn4ufi5+fkcvJiUiQ0c2IyIiIiMhIiIiIiU=NiMlIUc=NiMvLSUieUc2IyUieEcqJComLCgqKCIiJSIiIi0lJGV4cEdGJkYtRidGLUYtKiZGLEYtRi5GLSEiIkYtRjFGLS0lKUxhbWJlcnRXRzYjKiZGKkYtLUYvNiNGMUYtRjEjRi0iIiM=NiM+JSJnR2YqNiMlInhHNiI2JCUpb3BlcmF0b3JHJSZhcnJvd0dGKCokKiYsKCooIiIlIiIiOSRGMS0lJGV4cEc2I0YyRjFGMSomRjBGMUYzRjEhIiJGMUY3RjEtJSlMYW1iZXJ0V0c2IyomRi5GMS1GNDYjRjdGMUY3I0YxIiIjRihGKEYo

The solution is given in terms of the Lambert W function NiMtJSJXRzYjJSJ4Rw==. NiMtJSJXRzYjJSJ4Rw== is an inverse function for NiMvLSUiZkc2IyUieEcqJkYnIiIiLSUkZXhwR0YmRik=, and is given in Maple by LambertW(x). plot(g(x),x=1..4,labels=[`x`,`y(x)`]);

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

The solution given by dsolve looks different but appears to have the same graph as the solution given by desolve.de := y(x)/x*diff(y(x),x)=exp(x)/ln(y(x)); ic := y(1)=1; dsolve({de,ic},y(x)); h := unapply(rhs(%),x); plot([g(x),h(x)],x=1..4,color=[red,green], thickness=[1,2],labels=[`x`,`y(x)`]);

NiM+JSNkZUcvKigtJSJ5RzYjJSJ4RyIiIkYqISIiLSUlZGlmZkc2JEYnRipGKyomLSUkZXhwR0YpRistJSNsbkc2I0YnRiw=NiM+JSNpY0cvLSUieUc2IyIiIkYpNiMvLSUieUc2IyUieEctJSRleHBHNiMsJi0lKUxhbWJlcnRXRzYjKiYsKComLUYpRiYiIiJGJ0YzIiIlKiZGNEYzRjJGMyEiIkYzRjZGMy1GKTYjRjZGMyNGMyIiI0Y5RjM=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

We can also check with a numerical example.xx := evalf(sqrt(5)); evalf(g(xx)); evalf(h(xx));

NiM+JSN4eEckIit5ejFPQSEiKg==NiMkIis4Lz5AVSEiKg==NiMkIitDLz5AVSEiKg==

Using higher precision and rounding shows that the value above given by NiMtJSJnRzYjJSJ4Rw== is more accurate than that given by NiMtJSJoRzYjJSJ4Rw==.xx := evalf(sqrt(5)); evalf(evalf(g(xx),15)); evalf(evalf(h(xx),15));

NiM+JSN4eEckIit5ejFPQSEiKg==NiMkIis4Lz5AVSEiKg==NiMkIis4Lz5AVSEiKg==

;

NiMqJi0lJ2FyY3Rhbkc2IyUieEciIiIlInlHRig= NiQvKiYlI2R5RyIiIiUjZHhHISIiLCYqJCUieUciIiNGJkYmRiYvLUYrNiNGJkYs de := arctan(x)*y(x)*diff(y(x),x)=y(x)^2+1; ic := y(1)=2; desolveSV({de,ic},info=true); g := unapply(rhs(%),x);

NiM+JSNkZUcvKigtJSdhcmN0YW5HNiMlInhHIiIiLSUieUdGKUYrLSUlZGlmZkc2JEYsRipGKywmKiQpRiwiIiNGK0YrRitGKw==NiM+JSNpY0cvLSUieUc2IyIiIiIiIw==NiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYsJiokKSUieUciIiMiIiJGLUYtRi0hIiJGK0YtRistRiU2JComRi1GLS0lJ2FyY3Rhbkc2IyUieEdGLkY1NiMlIUc=NiMvLSUjbG5HNiMsJiokKSUieUciIiMiIiJGLEYsRiwsJiomRitGLC0lJEludEc2JComRixGLC0lJ2FyY3Rhbkc2IyUjX3VHISIiL0Y2OyUhRyUieEdGLEYsJiUiQ0c2I0YsRiw=NiMlIUc=NiMvLCYqJCklInlHIiIjIiIiRilGKUYpKiYmJSJDRzYjRihGKS0lJGV4cEc2IywkKiZGKEYpLSUkSW50RzYkKiZGKUYpLSUnYXJjdGFuRzYjJSNfdUchIiIvRjo7JSFHJSJ4R0YpRilGKQ==NiQlRUFwcGx5aW5nfnRoZX5pbml0aWFsfmNvbmRpdGlvbn4ufi5+fkcvJiUiQ0c2IyIiIywkKiYiIiYiIiItJSRleHBHNiMsJComRihGLC0lJEludEc2JComRixGLC0lJ2FyY3Rhbkc2IyUjX3VHISIiL0Y5OyUhR0YsRixGOkYsRiw=NiMlIUc=NiMvLSUieUc2IyUieEcqJCwmIiIiISIiKiYiIiZGKi0lJGV4cEc2IywkKiYiIiNGKi0lJEludEc2JComRipGKi0lJ2FyY3Rhbkc2IyUjX3VHRisvRjs7RipGJ0YqRipGKkYqI0YqRjM=NiM+JSJnR2YqNiMlInhHNiI2JCUpb3BlcmF0b3JHJSZhcnJvd0dGKCokLCYiIiIhIiIqJiIiJkYuLSUkZXhwRzYjLCQqJiIiI0YuLSUkSW50RzYkKiZGLkYuLSUnYXJjdGFuRzYjJSNfdUdGLy9GPztGLjkkRi5GLkYuRi4jRi5GN0YoRihGKA==

Plotting the solution along with the gradient field suggests that the solution is correct.p1 := DEtools[DEplot](de,y(x),x=1/2..2,y=0.01..6,arrows=medium,color=blue): p2 := plot(g(x),x=1/2..2,y=0..6,color=coral,thickness=2): plots[display]([p1,p2]);

-%%PLOTG6,-%'CURVESG6]dl7'7$$"33;,KKMp#*\!#=$!3kJeVGd/w9F,7$$"3Z%))zwc1t+&F,$"3#=$eVGd/w;F,7$$"3'zQ+Y.5G5&F,$"3gq0$>>NI')*!#>7$$"3oJT`FaZ0\F,$"3aDsK*H#*3+"F,F/7'7$$"3!GL,#))Q?"y&F,$!3!f8(3A)pfZ"F,7$$"3I?(>-[Vxz&F,$"33Or3A)pfn"F,7$$"3#\!>(\5DG*eF,$"3%yR(3$e))H&)*F97$$"3ge%R?++bp&F,$"3nI/M%)3"=+"F,FE7'7$$"3!)R$3")4y(plF,$!3UEuVf/*eZ"F,7$$"3SmPtQm6)e'F,$"3gEuVf/*en"F,7$$"3I]6C6Q!Go'F,$"3%QIZ^&)eN%)*F97$$"3+19?X')[&['F,$"33"y0>'Qm-5F,FZ7'7$$"3#4prGC:%etF,$!3sD$ozH4eZ"F,7$$"3So9RioUytF,$"3!fKozH4en"F,7$$"3WQBj@nusuF,$"3q/*yxAZZ$)*F97$$"3A*48xrTaF(F,$"3Cp%)f*)HX.5F,Fio7'7$$"3%4H"R#>8r9)F,$!3;W$>MqFdZ"F,7$$"3W@HH"Gw'o")F,$"3OW$>MqFdn"F,7$$"3C*Q'QH^li#)F,$"3B%[_!z,aE)*F97$$"3)f,8=Mg`1)F,$"3Qw`Ko6=/5F,F^q7'7$$"3P'Q42$*oe$*)F,$!3=7%)*ovYcZ"F,7$$"37zeR6z')e*)F,$"3O7%)*ovYcn"F,7$$"3#)*3&>73`_!*F,$"3_26SHP"*=)*F97$$"3cW)G)fhCb))F,$"3JD@*>-_[+"F,Fcr7'7$$"3zS=G3*yYs*F,$!3%z<l8GnbZ"F,7$$"3!yZWAI0!\(*F,$"39y^O"Gnbn"F,7$$"3"GsDT$ePU)*F,$"35T">'3r$=")*F97$$"3'o<'yK65X'*F,$"3q8Y$3cpa+"F,Fhs7'7$$"3a,#H:$RN^5!#<$!3!zNYv()*[v9F,7$$"3kNbOE#4R0"F[u$"33ejax)*[v;F,7$$"3S./HR#>K1"F[u$"3:P83)ov_!)*F97$$"3mb%>$QF\V5F[u$"30-U#*Gz.15F,F^u7'7$$"3#)46=GYCI6F[u$!3UBpHi\Tv9F,7$$"3mKdbmK"H8"F[u$"3gBpHi\Tv;F,7$$"3<VF)3F)>U6F[u$"39?J^'>$>*z*F97$$"3\`d"zqsC7"F[u$"3&fH"4E7c15F,Fcv7'7$$"3p<wi,'R"47F[u$!3%QS2^!GMv9F,7$$"35I8&*HI">@"F[u$"3-/u50GMv;F,7$$"3#3_`[*[<@7F[u$"3eQ^X4Lb$z*F97$$"3K%=d`B]9?"F[u$"3_WsP!RVq+"F,Fhw7'7$$"3Gva_*[Q!)G"F[u$!3gI@^gNFv9F,7$$"3#yd&*)y)34H"F[u$"3yI@^gNFv;F,7$$"3/3Uh<$\,I"F[u$"3m8I;H2K)y*F97$$"3s;.7DbU!G"F[u$"3r"\%zE")[25F,F]y7'7$$"393Jm^4%pO"F[u$!3%4-VbH2_Z"F,7$$"3E]+g`6!*p8F[u$"37@Ia&H2_n"F,7$$"3s&4![K<7z8F[u$"3'\mV7(=Y$y*F97$$"3#H9"op()Rf8F[u$"3RP[zp))*y+"F,Fbz7'7$$"37"*yksm%eW"F[u$!3a"=:A,W^Z"F,7$$"3estXp,*)[9F[u$"3s"=:A,W^n"F,7$$"3E6uG=B4e9F[u$"3U5aUg_%*y(*F97$$"33g1&y9q$Q9F[u$"3+H0>p(y#35F,Fg[l7'7$$"3.8exi`vC:F[u$!3C1#yam$3v9F,7$$"3+c:<;i(y_"F[u$"3U1#yam$3v;F,7$$"3;9E,R71P:F[u$"3!R/h"><uu(*F97$$"3$yRpT#)Rt^"F[u$"3Ir-l"pI'35F,F\]l7'7$$"3[.%*pdnm.;F[u$!3[P%es<E]Z"F,7$$"3'32!4e&fog"F[u$"3mP%es<E]n"F,7$$"3P(e[SkGgh"F[u$"3/SP49W#3x*F97$$"3%*)y2!\zI'f"F[u$"3K-i(>Bd*35F,Fa^l7'7$$"35OMM<1e#o"F[u$!3IDpDZ9(\Z"F,7$$"3_V")GN/%eo"F[u$"3[DpDZ9(\n"F,7$$"35?q))oY*\p"F[u$"3%z2J!4)orw*F97$$"3[_L6fYFv;F[u$"3y-60I2E45F,Ff_l7'7$$"3kxkQCn\h<F[u$!3kVj7h$>\Z"F,7$$"3K2s3l!>[w"F[u$"3#QME6O>\n"F,7$$"3iS0.O%fRx"F[u$"3%R::(fDvj(*F97$$"3gW/Uy+Ca<F[u$"3L+Qj!HV&45F,F[al7'7$$"3/Uo_#)[TS=F[u$!3y"Gslzp[Z"F,7$$"3A[*)yVczV=F[u$"3'>Gslzp[n"F,7$$"3Y&49g0BH&=F[u$"3%eb+`Pb0w*F97$$"3$QC&**=V?L=F[u$"3J"3IT!o!)45F,F`bl7'7$$"3o@&yY"\L>>F[u$!3w:g$yiA[Z"F,7$$"3*QPz%[.xA>F[u$"3%f,OyiA[n"F,7$$"3S(*eXGc)=$>F[u$"3%>%[mj)evv*F97$$"3jr0.#[n@">F[u$"3N"*\9nH055F,Fecl7'7$$"31&[!>hmD)*>F[u$!3?93$*Gxxu9F,7$$"3$e^4)QLu,?F[u$"3S93$*Gxxu;F,7$$"3V@t3Vs%3,#F[u$"3%*)f%)>PYZv*F97$$"3Em_$)e'H6*>F[u$"3@>^4-LG55F,Fjdl7'7$$"3'G(*)RUe?6[F,$"3O)o.W7)Ho=F,7$$"3eE5gdTz)=&F,$"3%*[5\L]'pj%F,7$$"3kKTOs"4P>&F,$"3c3wMj:0\QF,7$$"3%yMpigy.-&F,$"3z"*4pk0,EUF,F_fl7'7$$"3%*z'*)[sPBe&F,$"31/>7#Gx2">F,7$$"39t8`V'4m*fF,$"3]LGxve[%f%F,7$$"3I#R<b/B4*fF,$"3>xnV)=bm!QF,7$$"3RTitQ7"H#eF,$"3VL2)QlO-A%F,Fdgl7'7$$"3k==?3/?cjF,$"3[,k4cXE^>F,7$$"3c(GS'GVp,oF,$"3#eL)z,')*Rb%F,7$$"3i+&f)*G8ny'F,$"3)*pYzNW6oPF,7$$"3NcaDT3xBmF,$"3MSdOme'G@%F,Fihl7'7$$"3'ytC?m2C8(F,$"3mgyZ=P5*)>F,7$$"3W@%QKWMWg(F,$"3#p(oTR%fh^%F,7$$"3]4Dyv*R8e(F,$"30\Io"z:Mt$F,7$$"3[3bz=`8BuF,$"306Zfhel/UF,F^jl7'7$$"3&p9*>4cf5zF,$"3V$>N4/1S-#F,7$$"3Xl][kQ>0%)F,$"3'Qafp6d7[%F,7$$"3Wz0m#\F]P)F,$"3))*)3q!pfBq$F,7$$"3T=qV4H>@#)F,$"3-J8c:O8'>%F,Fc[m7'7$$"3k#)*He<T/p)F,$"3%f8!R]j#f0#F,7$$"3%GGvim&H/#*F,$"3Q,Y]2oL\WF,7$$"31Q$>t%='z;*F,$"3947(*4#\Yn$F,7$$"3-eS%R'R7=!*F,$"3QndEwsk(=%F,Fh\m7'7$$"3%f#[+)fn;Z*F,$"37Zryqz'\3#F,7$$"3Q\@Dh;?+5F[u$"3<!f2r=&H?WF,7$$"3A&HaG\$Hg**F,$"3sy1\j%\*\OF,7$$"3eapYs=49)*F,$"3S^J)Hc9%zTF,F]^m7'7$$"3#[V%3*G/a-"F[u$"3*G`%\JfJ6@F,7$$"3O-.")o)e)z5F[u$"3S/-SEs%RR%F,7$$"31z."yB9_2"F[u$"3^G)>P%R#zi$F,7$$"3SAF6vR#41"F[u$"3GS(\Y;i:<%F,Fb_m7'7$$"3<)z8)3vt.6F[u$"3d"*ed%)H>N@F,7$$"3IWI#fQ?%f6F[u$"3sX)=L<q+P%F,7$$"3M$[A+MgV:"F[u$"3^*3,oqa#3OF,7$$"3:)Rd(Q!p.9"F[u$"3GG<%*Ha:kTF,Fg`m7'7$$"3]j"[Tk]@="F[u$"3OoYOSA$o:#F,7$$"3G%yIu)>!*Q7F[u$"3%*o+`<4V[VF,7$$"3l8SoS^ZL7F[u$"3s]ik'4_1f$F,7$$"3YMno"ya(>7F[u$"3/$3^Pn>s:%F,F\bm7'7$$"3%GD_2xI1E"F[u$"3=2(3(\6Yw@F,7$$"3F+)owf;$=8F[u$"37Ig=3?!)GVF,7$$"3zuyyVXc78F[u$"3/bkcB"e[d$F,7$$"3_/dxb**3*H"F[u$"3k?LGi\v]TF,Facm7'7$$"3h<Hi-t;R8F[u$"35-bRvGH%>#F,7$$"3yS-k-[n(R"F[u$"3>N#*\#Gq4J%F,7$$"3I:=(p@L;R"F[u$"3%4mqLCY1c$F,7$$"3-1_k(*=Qy8F[u$"3v0Oa=huWTF,Ffdm7'7$$"3KGiOb:v<9F[u$"3%o%3(oGA0@#F,7$$"3SN!RnG&)pZ"F[u$"3Y!*Q-r3u%H%F,7$$"3-q&4U'[oq9F[u$"3!)=*e$o#>ya$F,7$$"3q.O?^njd9F[u$"3<x2B`$p"RTF,F[fm7'7$$"3;'\RWQwj\"F[u$"3E1<;LZKDAF,7$$"3'G(y]%>bib"F[u$"3wIItC%Q*zUF,7$$"3'Q20'QCs\:F[u$"3NE!4:X1i`$F,7$$"3)G(o2l'fo`"F[u$"3$)))\-sl*R8%F,F`gm7'7$$"3E$**p0*e.v:F[u$"3pj&RWSc)QAF,7$$"32"[>_U!\N;F[u$"3it^X`nSmUF,7$$"34jF:2$[(G;F[u$"3;*fr0Mgc_$F,7$$"3j()f*='\0;;F[u$"3T')*)[6")>HTF,Fehm7'7$$"3iy,B#=DPl"F[u$"3oN5'o`b7D#F,7$$"3.,9Sqep9<F[u$"3!>qL5i2SD%F,7$$"3ty#oyPkxq"F[u$"3tW<lBP0;NF,7$$"3]uK^!GE_p"F[u$"3YzxAFWuCTF,Fjim7'7$$"3&oz7^=SCt"F[u$"3IAoa1SkiAF,7$$"35))3O/c(Qz"F[u$"3,:zM^">EC%F,7$$"3CmY$y>sny"F[u$"3_X'pL#oF2NF,7$$"3e7m+%pwVx"F[u$"3'\U'>#4217%F,F_[n7'7$$"3i!*oi*[x6"=F[u$"3s)Hz[/HJF#F,7$$"3k**))oOI.t=F[u$"3&)Qa,8T8KUF,7$$"3]#pJ*GIxl=F[u$"3G'[5=![B*\$F,7$$"3-ld)o!)3N&=F[u$"3Y5ikY$fn6%F,Fd\n7'7$$"3Ohh#)GU$**)=F[u$"37+&)3C\!GG#F,7$$"3AM<LM5<_>F[u$"3>Pi!QBeCA%F,7$$"3=8k\1zwW>F[u$"3Y@n8'eX=\$F,7$$"3nYz&[$[iK>F[u$"3'**o+6OwJ6%F,Fi]n7'7$$"31IOb!)zqo>F[u$"3mZW'Q`a<H#F,7$$"3$3PY%>?HJ?F[u$"3#**GISi3N@%F,7$$"3dJc$\odP-#F[u$"3%zXYx*z.&[$F,7$$"3&p$3=qms6?F[u$"30()*e$>`$)4TF,F^_n7'7$$"3'o?\?kWfu%F,$"3O[@ad+#))>&F,7$$"39$z]zNbSD&F,$"30EtCeiq6wF,7$$"3YXUqNZd>_F,$"39<-LR"pc$oF,7$$"3S0WC'e<&o]F,$"3DM'QS+LHM(F,Fc`n7'7$$"3]*>*>)*RK<bF,$"3u%R!H!)*yME&F,7$$"3g`=AqLihgF,$"3qz!*\Nt/ZvF,7$$"3@BC([uf_,'F,$"3%)Gbd!=W4y'F,7$$"37;N&QX)HseF,$"3PY"ypQOVK(F,Fhan7'7$$"3W^n!Hy0CH'F,$"3T/WGd;3@`F,7$$"3ua`$R&*)[loF,$"3-q]]eYW*[(F,7$$"3MT')ovsG4oF,$"3d<"z8G;Rt'F,7$$"3_6g))R$QNn'F,$"3\S$*y8V/1tF,F]cn7'7$$"39#>^rpa.2(F,$"3qjZ)f%z"=P&F,7$$"3;n>63u[mwF,$"3t5Z!)p$3(QuF,7$$"3Q=m=Y!>@g(F,$"3gUn6))Qk$p'F,7$$"3#o&y<MFssuF,$"3U\#fX/$y)G(F,Fbdn7'7$$"37#*zWnv^]yF,$"3bq`$oOmiT&F,7$$"3G?iB1>Fl%)F,$"3)Q5a*[*fUR(F,7$$"3G\Yaz"*3%R)F,$"3!>'H=-p9fmF,7$$"3MO"*o&>e-F)F,$"3SVlS]m(GF(F,Fgen7'7$$"3.jJI1[RK')F,$"3)4b@\?X^X&F,7$$"3Y-@!e.UBE*F,$"3YBz'36"QbtF,7$$"3K7?wnfV&=*F,$"3n7)4-J>&HmF,7$$"3sRt%>&HZm!*F,$"3G'efwi;%esF,F\gn7'7$$"3O^&G;t2cT*F,$"33&H?%[7=*[&F,7$$"3$ox*)yk2e+"F[u$"3Mz"pt1X8K(F,7$$"3ce"y'='Gj(**F,$"3B%="e")4(Rg'F,7$$"3YD5)4@F;')*F,$"3)4&\gZ*o`C(F,Fahn7'7$$"3G**p+op)*>5F[u$"329:C(*z/>bF,7$$"3)yt())*=w_3"F[u$"3Ogza=$y9H(F,7$$"3u*fv-v)ow5F[u$"3+u4#['Q$=e'F,7$$"3kc)Grc#fl5F[u$"3#)[.$*HzjLsF,Ffin7'7$$"3?#>#*HH'\)4"F[u$"3!Q0s&R>MXbF,7$$"3G]Yu,;mk6F[u$"3k?u@wV=lsF,7$$"3%=voA()>d:"F[u$"3y8x')*R_Dc'F,7$$"3%R61@"H&\9"F[u$"3>>kCKF5BsF,F[[o7'7$$"3-3fT7@2x6F[u$"3Qb%))3Ky&obF,7$$"3wRI;>0)RC"F[u$"3.>5!\*z%>C(F,7$$"32q*=WVKZB"F[u$"3iWsJp$oca'F,7$$"3GIA#RTcUA"F[u$"3(36wmHPO@(F,F`\o7'7$$"3=h$)*)=;qb7F[u$"31]&fu0'>*e&F,7$$"3#>pA&\dCB8F[u$"3PC*H$e-L@sF,7$$"3`d:a]4t88F[u$"3H%oyG003`'F,7$$"3(QA0?38NI"F[u$"3,&e6Oi?^?(F,Fe]o7'7$$"3]j%4'p[PM8F[u$"3RL>?&Hmvg&F,7$$"3"\p`cBnCS"F[u$"3.Tve?+'H?(F,7$$"35X.cM(=FR"F[u$"3GGX%Hv_w^'F,7$$"3#y*zMx3t#Q"F[u$"3?R%>1aTu>(F,Fj^o7'7$$"36'*)*4yS389F[u$"3(*HGRM=+CcF,7$$"3in`+kFl"["F[u$"3YWmR"[Cl=(F,7$$"3q&oFIC)pr9F[u$"3q7<,"Qcf]'F,7$$"3IAR.th">Y"F[u$"3)=nM'G/]!>(F,F_`o7'7$$"3A*pAI4B=\"F[u$"3lt[E8hwQcF,7$$"3!)pY#f[33c"F[u$"3y+Y_--wrrF,7$$"35)[TWJr1b"F[u$"3[_8+g^]&\'F,7$$"3$HFOg5u5a"F[u$"3!>psCL4U=(F,Fdao7'7$$"3-7zq7qeq:F[u$"37?n::73_cF,7$$"3Li:3.$R*R;F[u$"3IaFj+^WerF,7$$"3(HE[wLR'H;F[u$"3I(>wkBCh['F,7$$"3r`x(e%)3-i"F[u$"3qrkqo7\yrF,Fibo7'7$$"3A'yY%)*=P\;F[u$"39ooK_Z8kcF,7$$"3V$z%=a"\!><F[u$"3I1EYj:RYrF,7$$"3%)o;JrLg3<F[u$"3krjA:zmxkF,7$$"3Ko.H+QK*p"F[u$"3=53,&=zK<(F,F^do7'7$$"3&4f,(fX<G<F[u$"3mdc;jc3vcF,7$$"3+%4s(H79)z"F[u$"3x;Qi_1WNrF,7$$"3ghFSHUc(y"F[u$"3Y"p,!GU,qkF,7$$"3S'z"Ht<Uy<F[u$"3K"))Qv"[^orF,Fceo7'7$$"3!)z,)>R#*p!=F[u$"3mYGSO!p]o&F,7$$"3Y5cLM"=s(=F[u$"3wFmQzsXDrF,7$$"3g@9#HaAl'=F[u$"3-3]pz01jkF,7$$"3c(35t30v&=F[u$"3ma+@uv9krF,Fhfo7'7$$"3KL#3NDBe)=F[u$"3iD")**)4+Up&F,7$$"3Ei'\'4?Gc>F[u$"3!)[8z;iK;rF,7$$"3!3qb[!)ya%>F[u$"3?9o.c-sckF,7$$"3Ue[2ycdO>F[u$"3+[([[]L,;(F,F]ho7'7$$"3?N#z1PlY'>F[u$"3"**R+>]xDq&F,7$$"3#fw?$HYLN?F[u$"3^u!*)Q")[z5(F,7$$"3#e??KSLW-#F[u$"3O'3(o;'>4X'F,7$$"3hOizo^j:?F[u$"3CM]7#QMk:(F,Fbio7'7$$"3Lh:N0x)>t%F,$"3>(o?j?41S)F,7$$"3oQ%[YH7!o_F,$"3W_jtE!=:2"F[u7$$"3\<"*Gk1TC_F,$"3q#)4WD`\Y**F,7$$"39^cJp%3&z]F,$"3kOA/aE;[5F[uFgjo7'7$$"39+f\]([S]&F,$"3oo4*=HE!p%)F,7$$"3'H:Dzh)*[2'F,$"3=C$z"=jnk5F[u7$$"3QB5:()QZ>gF,$"3_-![*)3?.*)*F,7$$"3yF*G_5QJ)eF,$"3%Q:$*R&=-Y5F[uF\\p7'7$$"3S,mhcY*)ziF,$"3q"*zMlO+H&)F,7$$"3![]D-3+!yoF,$"3)=iL3ey'e5F[u7$$"3Udc_/&>H"oF,$"3egw*[h3F%)*F,7$$"3Sq?V5M4%o'F,$"3E)Q8'><)R/"F[uFa]p7'7$$"313Nzj7geqF,$"3g]*=muF6e)F,7$$"3C^'p9%3CywF,$"3)f_1F<mM0"F[u7$$"39Lj"4zM_g(F,$"3Ufi)4z0C!)*F,7$$"3'*oSH%3NH[(F,$"3D%H.OE,@/"F[uFf^p7'7$$"3#*)>RT&GZRyF,$"3^5p-4hGE')F,7$$"3[8]a>mJw%)F,$"3+IdYO.&*[5F[u7$$"3!*)o&eV'enR)F,$"3oqe0;Q@o(*F,7$$"3m^F'f:8,G)F,$"3*4g=vh*RS5F[uF[`p7'7$$"3`@_Z"=$*>i)F,$"3enP;i:Ul')F,7$$"3'R/I1mVFF*F,$"3=W?:"zO]/"F[u7$$"3Y@oeVZs(=*F,$"3=*>vKu#3R(*F,7$$"3]znVa$zf2*F,$"3w4)HQ'[()Q5F[uF`ap7'7$$"3@c(RBS!y0%*F,$"3[*["**RzT*p)F,7$$"3Cc'=3Q!z15F[u$"34s#pL:P;/"F[u7$$"3k*3q%fUHy**F,$"3mE"eHCITr*F,7$$"3eI7&>^03()*F,$"3")=&z4,:v."F[uFebp7'7$$"3dF?e=^0>5F[u$"3:(eU!\i0H()F,7$$"3g4FJR!3i3"F[u$"3WiTYALnQ5F[u7$$"3y5l=%*y&o2"F[u$"3'*QmiN1j#p*F,7$$"3uhLz;,[m5F[u$"3%\zeF1/j."F[uFjcp7'7$$"3o4Q\'Q4w4"F[u$"3KQPh?c+b()F,7$$"3!G.V#3&[b;"F[u$"3@ZqI&Qyg."F[u7$$"3-kOF"ple:"F[u$"3ulV8=K*Rn*F,7$$"31'eRD#G"e9"F[u$"3dxIp6_AN5F[uF_ep7'7$$"3aWl$=*[Aw6F[u$"3+%Rom%*Hyx)F,7$$"3C.CuRx#[C"F[u$"3k"e,F&fzL5F[u7$$"3eymlJ$e[B"F[u$"3;L;W:!Rxl*F,7$$"3&4"*)HV74D7F[u$"3#)y,P6CEM5F[uFdfp7'7$$"3!RA"p%\*)[D"F[u$"3/OUTi/+)z)F,7$$"3>H)HP(y0C8F[u$"3L(*p7,*y<."F[u7$$"3g*[y$[(RQJ"F[u$"3BiJJY'zMk*F,7$$"3Cd")Q7_K/8F[u$"3o!>QI1,M."F[uFigp7'7$$"3aX^OiQfL8F[u$"3$R!p\'e4f"))F,7$$"3(G,)*GC[KS"F[u$"3lI(=())z)*H5F[u7$$"3IiiCwF"GR"F[u$"34'>zHW**3j*F,7$$"3y(fO!yC_$Q"F[u$"3ell>M#GE."F[uF^ip7'7$$"3&R'>BZ2L79F[u$"3!=b\(QR)=$))F,7$$"3y*Ht[41C["F[u$"3'eY$\`0RG5F[u7$$"37\,zz%z<Z"F[u$"3LSLng3u>'*F,7$$"3'*Q#QV>*oi9F[u$"36,EYTE$>."F[uFcjp7'7$$"370!=[Y%4"\"F[u$"33!pL`v&>Y))F,7$$"3#ROHT6P:c"F[u$"3/_]$=Pfp-"F[u7$$"3#G)zrx8u]:F[u$"3iAW&\z#z4'*F,7$$"3j()Rj)GI=a"F[u$"3&>G"RCXIJ5F[uFh[q7'7$$"3)\btP^!))p:F[u$"3y-g7RD2f))F,7$$"3O>f,-ekS;F[u$"3x?eX$prc-"F[u7$$"3>=6(zf*pH;F[u$"3.Jk5;8)3g*F,7$$"3t7()RP(\4i"F[u$"3wOfqxatI5F[uF]]q7'7$$"3kL(4oH&o[;F[u$"3[h%\[002())F,7$$"3,Y=#evN(><F[u$"3!\Z$)=W3X-"F[u7$$"32*o'*e)\l3<F[u$"3AJ0-]B'Gf*F,7$$"3s&[>Xx]+q"F[u$"3yyCew#=-."F[uFb^q7'7$$"3x5E%R"f]F<F[u$"3wQ!p"zQD")))F,7$$"3=u5`v)4))z"F[u$"31<:XfNXB5F[u7$$"31F"p/=3wy"F[u$"37u5E+fh&e*F,7$$"3s")*H&\g8z<F[u$"36!fy;rY(H5F[uFg_q7'7$$"30N^"z+Sj!=F[u$"3[P\%fta3*))F,7$$"3Ab1S=0(y(=F[u$"3IFRxtM\A5F[u7$$"3_hH`o'fl'=F[u$"3+!QS)z9/z&*F,7$$"3;%Gb'[x?e=F[u$"3Q#3_4W:$H5F[uF\aq7'7$$"31MHeZc=&)=F[u$"3!zD]:$Gi**))F,7$$"3_h\d:'>p&>F[u$"3D&R8Um;;-"F[u7$$"3w?1yB)4b%>F[u$"3Ya-&*)[aId*F,7$$"3TC;2)ons$>F[u$"3hKPFg)>*G5F[uFabq7'7$$"3c_#f"R7/k>F[u$"3$G&\(pPcw!*)F,7$$"3c[2%3wef.#F[u$"3wD4n4L"3-"F[u7$$"35Db-N*eW-#F[u$"3G<C!>L$en&*F,7$$"3:v#ziQ<j,#F[u$"3!=gNB*fbG5F[uFfcq7'7$$"3d`D*z8wft%F,$"3O33c47(Q:"F[u7$$"3UYu+iQ-k_F,$"3_'3(f`SB)Q"F[u7$$"3[!zxE$)eIA&F,$"3M'p8siM6J"F[u7$$"3)fPL'>vLw]F,$"3=$=h;R^QO"F[uF[eq7'7$$"3l\^1Y&=y]&F,$"3;8uTr9hg6F[u7$$"3Y.fNA)G62'F,$"3q"[S<z$\"Q"F[u7$$"3G(4?+`4$=gF,$"3%4J(G&z_bI"F[u7$$"3=)R^*4w-!)eF,$"3wP.(y$**yh8F[uF`fq7'7$$"3EL"y+xGMG'F,$"3Wf`uGyam6F[u7$$"3#H(RwmfYuoF,$"3UNDTMubv8F[u7$$"3;b:r-s#>"oF,$"3w"GU1#H!3I"F[u7$$"3g_1O<"y5o'F,$"3)yT6T83)f8F[uFegq7'7$$"3CTA=4o!>1(F,$"3YM%*e)yE<<"F[u7$$"31=43'HN\n(F,$"3Sg%oXZy.P"F[u7$$"38xKPCIR/wF,$"3uc,H%yonH"F[u7$$"3!QmRjWG+[(F,$"3KTbch%pzN"F[uFjhq7'7$$"3P;/TkxcUyF,$"3Uw.hFzAw6F[u7$$"3/'zt#4<At%)F,$"3W=vaNt(eO"F[u7$$"3krjd0b/'R)F,$"3)R>G:*oL$H"F[u7$$"3)>%pMWnJx#)F,$"3K@P-xrHc8F[uF_jq7'7$$"3Kg-uE!**[i)F,$"3ojxh6!R,="F[u7$$"3=0]O:y$)p#*F,$"3=J,a^i'>O"F[u7$$"3#=5>RM?r=*F,$"3Q^(*y/jS!H"F[u7$$"398MR*f)Gt!*F,$"3q@T&Qp#za8F[uFd[r7'7$$"35UH,1)=&3%*F,$"35dR_eRa$="F[u7$$"3lP8XSl^15F[u$"3wPRj/8ce8F[u7$$"3=<kJt9yx**F,$"3)oC+$G8*yG"F[u7$$"3MF`!z,8#o)*F,$"37S00ZlW`8F[uFi\r7'7$$"3/JQp?UJ>5F[u$"3E5eCpy^'="F[u7$$"3714?P*[f3"F[u$"3g%37RR(eb8F[u7$$"3wOX$4M9o2"F[u$"3W"GZ(Q4s&G"F[u7$$"3#\sK[&)Hi1"F[u$"3K6NR(fWAN"F[uF^^r7'7$$"3EBuDSb&y4"F[u$"3E%p!\nc7*="F[u7$$"3?>%zWN-`;"F[u$"3g+sm&fzHN"F[u7$$"3CE2Tu'Ge:"F[u$"3cRq:yp$QG"F[u7$$"3=ByG22dX6F[u$"3'*)*>-"Qr6N"F[uFc_r7'7$$"3e\+-i'fk<"F[u$"3!>T%=OCU">"F[u7$$"3?)*)e&pHfW7F[u$"3'H[tp#Go]8F[u7$$"3@=xjro#[B"F[u$"3wZ.!\1#>#G"F[u7$$"3&z#Q*)zk&[A"F[u$"3]Jm#p"=@]8F[uFh`r7'7$$"3I?^xMU6b7F[u$"3AYr&*\WX$>"F[u7$$"3!G$fkLJ$QK"F[u$"3k[2?83l[8F[u7$$"3Fd+gQI"QJ"F[u$"3GA%G7jZ2G"F[u7$$"3u*p?E2(4/8F[u$"3W;6g)*>N\8F[uF]br7'7$$"3mpnKP(4QL"F[u$"39Y@Z1/E&>"F[u7$$"3v)QOzOKIS"F[u$"3s[doc[%oM"F[u7$$"3/tJ0^,z#R"F[u$"3'z_I2Bs%z7F[u7$$"3WYs]1.I$Q"F[u$"3#38*G!\z&[8F[uFbcr7'7$$"3dXQLe(QDT"F[u$"3OrV#fiso>"F[u7$$"3;=9x$3)>#["F[u$"3[BNBPEBX8F[u7$$"3Io)[xQg<Z"F[u$"3#Qtx#R,My7F[u7$$"3=bU22CZi9F[u$"3-x&ReO$)yM"F[uFgdr7'7$$"3+`>?taH"\"F[u$"3O4kIC"=$)>"F[u7$$"3/;au0hLh:F[u$"3[&[^)QryV8F[u7$$"3+"yR)f`s]:F[u$"31f'eUAItF"F[u7$$"3$f;6"o$=;a"F[u$"3+]XTATDZ8F[uF\fr7'7$$"3]M'p:Ev+d"F[u$"3%f)H$H`>'*>"F[u7$$"3$)R)>U0^/k"F[u$"3"*3\AId[U8F[u7$$"3WNO>qioH;F[u$"3AgWMT]Uw7F[u7$$"3>sF7EAu?;F[u$"37:p+TNoY8F[uFagr7'7$$"3;MHTDW()[;F[u$"3B[7dnez+7F[u7$$"3[X'=siY&><F[u$"3jYme&R48M"F[u7$$"3B![t]-W'3<F[u$"3#y6wp65cF"F[u7$$"3aZ7Jos%)*p"F[u$"3y>)y<`khM"F[uFfhr7'7$$"3$[%4bz**oF<F[u$"3[9"QJ;j=?"F[u7$$"37SF#*4ei)z"F[u$"3R!y>+5U-M"F[u7$$"3esN=8$*f(y"F[u$"3%y!QNzL([F"F[u7$$"3e[;4">O*y<F[u$"3%*\;M$)4pX8F[uF[jr7'7$$"3p$H1Y\>l!=F[u$"3Wm%HO*\$G?"F[u7$$"3e'\4<."px=F[u$"3UG%G&p-FR8F[u7$$"3'Q'*e@m_l'=F[u$"3upe'oq/UF"F[u7$$"33\6o@7,e=F[u$"3?n0uCwDX8F[uF`[s7'7$$"3So<Ey4O&)=F[u$"3=O'[l*Gs.7F[u7$$"3=Fh*[GWn&>F[u$"3pe#4mO#QQ8F[u7$$"3q>/KzW]X>F[u$"3#*yx*)obft7F[u7$$"3?!4'*>@uq$>F[u$"3'RTaL!*f[M"F[uFe\s7'7$$"3))\Gq%y7U'>F[u$"3Ri&H!>n`/7F[u7$$"3z]rH:syN?F[u$"3[K$GTaovL"F[u7$$"3?S0N"3bW-#F[u$"3yu"y"R(QIF"F[u7$$"3xDdm6n7;?F[u$"3l=[0zQ\W8F[uFj]s7'7$$"3!f[`#HN&pu%F,$"3]23)4$QLl9F[u7$$"359luqk/`_F,$"3?hl'zu(H2<F[u7$$"3eBX1#49#>_F,$"3%z[w0b['H;F[u7$$"3)p-Cu<Mx1&F,$"3a3A!f\t,o"F[uF__s7'7$$"3I=_u,EH=bF,$"3#)ziq_/xr9F[u7$$"3![$enmZlggF,$"3())3Ti7h3q"F[u7$$"30g'*=m-%\,'F,$"3mF)y!H')=C;F[u7$$"3+!H@2c>:(eF,$"35Mx(=XM$y;F[uFd`s7'7$$"3'y%>z'yDLH'F,$"3]TFM07^x9F[u7$$"3Ke,0]*oX'oF,$"3=FYgt.7&p"F[u7$$"3O?Fnpv+4oF,$"3,ce3_?\>;F[u7$$"3#**pn[yuFn'F,$"3e+y@h6_w;F[uFias7'7$$"3iMGM7YArqF,$"3iy#Go^sD["F[u7$$"3oC.#H\<cm(F,$"31!4>@1f+p"F[u7$$"3Wi5/^a(=g(F,$"3]N*Qgzmah"F[u7$$"3qG_fn)z>Z(F,$"3?)e;'=q![n"F[uF^cs7'7$$"3;OY1^%R8&yF,$"3c>o5Z,,(["F[u7$$"3Cw&>E-]WY)F,$"37\0%=V@co"F[u7$$"3QSffKt(QR)F,$"3/8gH"R;?h"F[u7$$"3!\_&\Z!Q&p#)F,$"3)yCcLEDKn"F[uFcds7'7$$"3>i7oFB<L')F,$"3!4_h$[V*3\"F[u7$$"3I.SU9Xch#*F,$"3yZeeIst"o"F[u7$$"3)*ow2z:D&=*F,$"3eX)H7H^!4;F[u7$$"3y.49^cxl!*F,$"3'e*H(yx&yr;F[uFhes7'7$$"3UtA#R5XjT*F,$"3?RmximH%\"F[u7$$"3j//m5Rt05F[u$"3[H2<;\Ly;F[u7$$"3IO)p:!y;w**F,$"3>"oE:=$\1;F[u7$$"3)RJSm'=&4')*F,$"33y5Y\d[q;F[uF]gs7'7$$"3(fI716d+-"F[u$"3WtgsSOG(\"F[u7$$"3?JCGZg?&3"F[u$"3C&H@#QzMv;F[u7$$"3)\i(p(oum2"F[u$"3*yJ#Q4dF/;F[u7$$"3W,Vx*3Fb1"F[u$"3_E8\kgJp;F[uFbhs7'7$$"3+a_)QBj&)4"F[u$"3[(*yXwV"**\"F[u7$$"3Y)e^3m%fk6F[u$"3?r%*[-srs;F[u7$$"351t.Tvqb6F[u$"3/r")*egVBg"F[u7$$"3jz`1M$*)[9"F[u$"3SGi[!)\Eo;F[uFgis7'7$$"3yN))e1i8x6F[u$"3)*e:A8+C-:F[u7$$"3-7,*\U;RC"F[u$"3q4esl:Rq;F[u7$$"3'=k=@f@ZB"F[u$"3Ga&owA^1g"F[u7$$"36$pe]d%>C7F[u$"3?GeqX,Kn;F[uF\[t7'7$$"3[;#*4"=jdD"F[u$"3;H(p?=/V]"F[u7$$"3jO=K(=%=B8F[u$"3_Rw(oRF$o;F[u7$$"3!p(y)QR@PJ"F[u$"3;r'H-,h"*f"F[u7$$"3qZqoGGX.8F[u$"3y'e3"['pkm"F[uFa\t7'7$$"3KsH/wTVM8F[u$"3a.%40#Q91:F[u7$$"34'=?#HzS-9F[u$"39lzVex[m;F[u7$$"3)=p3KH5FR"F[u$"3=IkuX?%yf"F[u7$$"3+g1rm?n#Q"F[u$"3]:]L4Dql;F[uFf]t7'7$$"32-S))p8989F[u$"33OK.*3!z2:F[u7$$"3kh7Asaf"["F[u$"3gKT"**[T[m"F[u7$$"3A91,u2pr9F[u$"3I'3:"e)omf"F[u7$$"3#eCBYne=Y"F[u$"3y$y"Gq)3]m"F[uF[_t7'7$$"3Y54@!ey=\"F[u$"3q()\b^#p#4:F[u7$$"3cekt)*Hvg:F[u$"3)4Q#RFBOj;F[u7$$"3cutS(pk1b"F[u$"31iF#RQ?cf"F[u7$$"3WR&3?!y,T:F[u$"3mn2v6+Qk;F[uF``t7'7$$"3%QV"Gy3kq:F[u$"3qiyxjMg5:F[u7$$"3]S!3vV&))R;F[u$"3+1&p^6G?m"F[u7$$"3HV+*3ZL'H;F[u$"3#pYR19zYf"F[u7$$"3(*))RWIO:?;F[u$"3EitE#H3Qm"F[uFeat7'7$$"3Me>+-VU\;F[u$"3w8A2`9"=^"F[u7$$"3K@'H1v'**=<F[u$"3%\:ve7?3m"F[u7$$"3!>q+&o")f3<F[u$"3%)eRfa0$Qf"F[u7$$"3e=5!)y&p#*p"F[u$"3yv09\qGj;F[uFjbt7'7$$"3nz#G2kD#G<F[u$"3,15L#44H^"F[u7$$"3G0au[,4)z"F[u$"3oijh'[A(f;F[u7$$"3'f$=#phfvy"F[u$"3S7Ww?C1$f"F[u7$$"3O3h=h%o$y<F[u$"3'G%[$z[5Gm"F[uF_dt7'7$$"3\POrsA/2=F[u$"3VM]Ly)4R^"F[u7$$"3y_@g`#or(=F[u$"3EMBh+<se;F[u7$$"37'\$pd%=l'=F[u$"3!*o.FpWO#f"F[u7$$"3MJM04EXd=F[u$"37qS_tNPi;F[uFdet7'7$$"3s<&y8/se)=F[u$"3vy3tF`#[^"F[u7$$"3'yPz<ALi&>F[u$"3%**[;7D1yl"F[u7$$"3C4od#>va%>F[u$"3/'GMt,G<f"F[u7$$"3HW#[h'R_O>F[u$"3yW65H>(>m"F[uFift7'7$$"3q(o*RgJrk>F[u$"3)4'Ql.`m::F[u7$$"3)HJ+'RoGN?F[u$"3q2NHvi'pl"F[u7$$"3hv#>p@IW-#F[u$"3=*oP$*oX6f"F[u7$$"3t7#oF;%e:?F[u$"3!okRdu,;m"F[uF^ht7'7$$"3Cwoh!>31w%F,$"3)*[.W#yVix"F[u7$$"3wBJQ4=RR_F,$"3a$\'H7T"p-#F[u7$$"3L?Qpot>9_F,$"3wmae6Ju[>F[u7$$"3k?()ohoEd]F,$"3;(H#>w;a'*>F[uFcit7'7$$"3J4$*em">:`&F,$"3%QN.SNhAy"F[u7$$"3yV<$=?Gu/'F,$"3o)[L2a'*3-#F[u7$$"3vA')p6'G/,'F,$"3P&o/z/yM%>F[u7$$"3wIRoEE.heF,$"3%=s*emH)\*>F[uFhjt7'7$$"3-Fh3$R%)fI'F,$"3MA;cT0r(y"F[u7$$"3=zfvV.">&oF,$"3<?_<`tW:?F[u7$$"3Vj)fGZ+]!oF,$"3L)Q7M3!*)Q>F[u7$$"3mj%>PMFCm'F,$"3gG4#3p"R$*>F[uF]\u7'7$$"3+PTnP5F$3(F,$"3G\np*HxDz"F[u7$$"3GA!*en5d`wF,$"3B$4S]f!e5?F[u7$$"3cv.!>DP$)f(F,$"3YFyd?S"\$>F[u7$$"3c5]VEx&=Y(F,$"3KIVct*[=*>F[uFb]u7'7$$"3-A"oHU#yiyF,$"3u6tD?7*oz"F[u7$$"3Q!4;202IX)F,$"3+J&zWnmi+#F[u7$$"3e$)p`J(e2R)F,$"3JTk!H^t9$>F[u7$$"3+?2641of#)F,$"3yY*4\g(R!*>F[uFg^u7'7$$"3j"f<G8ZSk)F,$"3t%[m@7-2!=F[u7$$"3'Qn(G4(*o]#*F,$"3yd.dsdX-?F[u7$$"3w03$*45]#=*F,$"3;$*el]K\G>F[u7$$"3SuV_nW>c!*F,$"3/Bo?,k0*)>F[uF\`u7'7$$"3Rl>Tu#)pE%*F,$"3h#zfjPmS!=F[u7$$"3@N9h$f)p/5F[u$"3!*\qP=:4**>F[u7$$"33]F**>ott**F,$"3o-&*3WY!f#>F[u7$$"3!ez"*ehU;&)*F,$"3#3z#)*G+$y)>F[uFaau7'7$$"3,*oC+?X5-"F[u$"3_Cj$=eRq!=F[u7$$"3;[+(y&z@%3"F[u$"3+=0!HJ=h*>F[u7$$"3oklAH#fk2"F[u$"3?![Q=$ykB>F[u7$$"3yHH&*z?ik5F[u$"3G(4a<I:n)>F[uFfbu7'7$$"3o*=+#z)3&*4"F[u$"3r,KC`In4=F[u7$$"3y_m`:!\O;"F[u$"3!3k$\T[[$*>F[u7$$"3SX_cwf^b6F[u$"3YTS!R!=n@>F[u7$$"32tKxg&3S9"F[u$"3)pF8+/0d)>F[uF[du7'7$$"3'Rk]b$Q/y6F[u$"3-n5'yX7?"=F[u7$$"3$QIGgz3IC"F[u$"3]vd(oVX6*>F[u7$$"3N"\30s]XB"F[u$"3*)HM[mO$*>>F[u7$$"3gjL[=iLB7F[u$"33gp-_.z%)>F[uF`eu7'7$$"3;eYD*yOmD"F[u$"3tjwA$f(49=F[u7$$"3%\Rm"z0JA8F[u$"3yy"4:Ig!*)>F[u7$$"3?Zx/*\oNJ"F[u$"3c!*)*=(f(R=>F[u7$$"3Rf=2u]h-8F[u$"3'z5&yI>'R)>F[uFefu7'7$$"3!Qv,tJx_L"F[u$"3QDd=BF'f"=F[u7$$"3g/9'zyk:S"F[u$"39<6br^>()>F[u7$$"3!GGKo2tDR"F[u$"3r:5AjP.<>F[u7$$"3y*e=B=`=Q"F[u$"3a+Hwa2@$)>F[uFjgu7'7$$"3H5,9!=dRT"F[u$"3E&*\**\rj<=F[u7$$"3W`^'>mz2["F[u$"3EZ=uW2_&)>F[u7$$"3AuY8"Hn:Z"F[u$"3?!\[ZK<e">F[u7$$"3=FMR\q0h9F[u$"3a"\qdVGD)>F[uF_iu7'7$$"3))*HR`")pE\"F[u$"3Mf4!=&e9>=F[u7$$"3;p!3Owh*f:F[u$"3=$)e$H/7S)>F[u7$$"3S"HH!*H`0b"F[u$"3b\!))zcFZ">F[u7$$"3g&R^)f>BS:F[u$"3Q/(4IO2>)>F[uFdju7'7$$"351q]c*49d"F[u$"3&zA-0550#=F[u7$$"3CoCGfj6R;F[u$"3e9YB%zZE)>F[u7$$"33+0yaF`H;F[u$"3Qz$GW<ZP">F[u7$$"3XIKQJAQ>;F[u$"3!f@*>L2M")>F[uFi[v7'7$$"3e_V_XL<];F[u$"3yP;:A![<#=F[u7$$"32Fs52xC=<F[u$"3u/_es)49)>F[u7$$"3*>.=z$p]3<F[u$"3wWd!ehhG">F[u7$$"3!Q$y089^)p"F[u$"3g9$>,_A3)>F[uF^]v7'7$$"3>a[>9l&*G<F[u$"3m0*=q3vG#=F[u7$$"3wI)y_Fftz"F[u$"3'o$zr2GG!)>F[u7$$"3Y2#fj%oZ(y"F[u$"3FgvDe'e?">F[u7$$"3o$f/)RCix<F[u$"3?I(RZTZ.)>F[uFc^v7'7$$"3ihMg<mv2=F[u$"33nA1HX!R#=F[u7$$"3kGBr3RXw=F[u$"3WvXnlLDz>F[u7$$"3y%\JYEVk'=F[u$"3IyS7ezK6>F[u7$$"3[Nu:`xrc=F[u$"3/kxu`2"*z>F[uFh_v7'7$$"3%4=KhIrl)=F[u$"3m&Q'R+x%[#=F[u7$$"3k9d-dR`b>F[u$"3'oXSV>5$y>F[u7$$"3=+oC9oSX>F[u$"3P9&)>L2m5>F[u7$$"3Dq:,'R*zN>F[u$"3ye0MY%3&z>F[uF]av7'7$$"3#o'=^E')Rl>F[u$"35;#p&oVrD=F[u7$$"33M")[t8gM?F[u$"3UEw;ENWx>F[u7$$"3Z>I>"*zOC?F[u$"3XZ:R&\\+">F[u7$$"3o"pOt3p[,#F[u$"3_(=cW!p8z>F[uFbbv7'7$$"3%3^?U&[%\x%F,$"3ApC"\BSt3#F[u7$$"3:*[zd9b]A&F,$"3mYQhvRMYBF[u7$$"3(*Ql)4?x'3_F,$"3Y8iW:+!yE#F[u7$$"3#=*\2<'Hl/&F,$"3#[=?i-OFJ#F[uFgcv7'7$$"3?"Qd\HOca&F,$"37b%4(*4")G4#F[u7$$"3!>njM26L.'F,$"3wgo"36.3M#F[u7$$"3y+(3oNJ`+'F,$"3_OB^@LyiAF[u7$$"3;XHj;97]eF,$"3]9KB?&p9J#F[uF\ev7'7$$"3^c>MH#)o>jF,$"3O4$y%yi(z4#F[u7$$"3p\,]2l?QoF,$"3`1![?$zqNBF[u7$$"35bh@u"f.!oF,$"3I]y<:[NeAF[u7$$"3ak$y,%)G:l'F,$"3EV1GB-75BF[uFafv7'7$$"3cGBmq4Z'4(F,$"3vR8^rye-@F[u7$$"3sI3gM6PSwF,$"3:w\,Rj4JBF[u7$$"3A>%QWSTTf(F,$"3o7AP@JZaAF[u7$$"3Y5m@&=&3^uF,$"3*)R(Qx[s(3BF[uFfgv7'7$$"37AwmL3XvyF,$"3#=)oYTEs1@F[u7$$"3H!f;+kQ.W)F,$"33M%f!p:'pK#F[u7$$"3=si^1k(pQ)F,$"3-+l<E63^AF[u7$$"3gsPAys4\#)F,$"31sO%)edZ2BF[uF[iv7'7$$"3OetPMB>c')F,$"3*)))e*GA6/6#F[u7$$"392zs2XaQ#*F,$"3+F/j()HFBBF[u7$$"3!Qcwd">4z"*F,$"3oa?P%)z6[AF[u7$$"3CBRk67$e/*F,$"3N^:,VhD1BF[uF`jv7'7$$"3BuM\auMQ%*F,$"3ji3/-\p8@F[u7$$"3W%G.cnLN+"F[u$"3E`a[3$*)*>BF[u7$$"3STR>2%f1(**F,$"3qMqNVb_XAF[u7$$"3tM9Ta,^T)*F,$"3O[SHv\70BF[uFe[w7'7$$"33)fvq4k@-"F[u$"3%=COx%yh;@F[u7$$"35R">31*4$3"F[u$"30u+zij1<BF[u7$$"3yU`sF2=w5F[u$"30&)y]$G^KC#F[u7$$"3ISEi!yJO1"F[u$"3.?&y*)o%3/BF[uFj\w7'7$$"3Y&*zO3ce+6F[u$"3hI&\X*GA>@F[u7$$"3-Z)ojGsD;"F[u$"3G&ywfJhWJ#F[u7$$"3go5AjJEb6F[u$"3smONu#\7C#F[u7$$"3u`Tf!RSI9"F[u$"3x;XATE8.BF[uF_^w7'7$$"3-<bd(>#3z6F[u$"35thl#\\:7#F[u7$$"3xIM+M/(>C"F[u$"3!G9qyrM@J#F[u7$$"3A7-fi/KM7F[u$"3-dX'[4![RAF[u7$$"3&=wV-+*QA7F[u$"3t!4lv^jAI#F[uFd_w7'7$$"3%p,QoOSwD"F[u$"3lL'f/"HjB@F[u7$$"3;OIe,qI@8F[u$"3D#om+I^+J#F[u7$$"3/')G*42eLJ"F[u$"3Sa+%HF5zB#F[u7$$"3Tg=kquo,8F[u$"3Dlri'zq9I#F[uFi`w7'7$$"3QdqH,%\iL"F[u$"3qi'*\AT]D@F[u7$$"3.,h'Rq#f+9F[u$"3?`m-)3!=3BF[u7$$"3#**3xW7!Q#R"F[u$"3/;#4%\:^OAF[u7$$"3w?x6;Q%4Q"F[u$"3Fy/C8wu+BF[uF^bw7'7$$"3b+MWZ2!\T"F[u$"3Fd#e^/!>F@F[u7$$"3=j=m%4O)z9F[u$"3ie!o`;%\1BF[u7$$"3[q:p(y*Qr9F[u$"3Q\>xB,ENAF[u7$$"3'*zZ[rX;g9F[u$"3]9<TXs3+BF[uFccw7'7$$"3WgDlMve$\"F[u$"3J+[sERrG@F[u7$$"3e3[HWS/f:F[u$"3e::!QGq\I#F[u7$$"3O:$\2]*Q]:F[u$"3'f-q`&f8MAF[u7$$"3"znVx3b$R:F[u$"3!o`H3P$[*H#F[uFhdw7'7$$"3)*f.33UIs:F[u$"3-u&)G&y&4I@F[u7$$"3O9"4x5A#Q;F[u$"3)=uP_U)e.BF[u7$$"3%o8d*f6QH;F[u$"3E()\h[@7LAF[u7$$"3*[yRww>&=;F[u$"3_$px]=I*)H#F[uF]fw7'7$$"3[d&HpCY5l"F[u$"3T%Q&))QGNJ@F[u7$$"3<A?q0[P<<F[u$"3\J4kr8L-BF[u7$$"3xqei]iO3<F[u$"3j_m$yU/AB#F[u7$$"3q"\JBDiwp"F[u$"3Qj6,RCU)H#F[uFbgw7'7$$"3rMdqZ*4)H<F[u$"3W)[L9!**\K@F[u7$$"3C]zwTe]'z"F[u$"3XFG44V=,BF[u7$$"3IFU<XfM(y"F[u$"3t3'4kpq8B#F[u7$$"3-w'o!pbyw<F[u$"39(Q[1VbzH#F[uFghw7'7$$"37Ra#oD#f3=F[u$"3o>Y8M(\N8#F[u7$$"3;^.\p#=c(=F[u$"3@'p"RwW8+BF[u7$$"3C='Qg<@j'=F[u$"3\;/Sq1hIAF[u7$$"3I))45[A*e&=F[u$"3U?U/t\_(H#F[uF\jw7'7$$"3m>-sS1R()=F[u$"3AUvg]L^M@F[u7$$"3!fnPCi9Z&>F[u$"3ot(=*f3<*H#F[u7$$"3UM)>-p#HX>F[u$"3T$H")ed:*HAF[u7$$"3=**)HaT%)\$>F[u$"3EaD'4NFrH#F[uFa[x7'7$$"3%yQ(\%)H?m>F[u$"3/'[,$y-SN@F[u7$$"3$Gh-b,(zL?F[u$"3%)H[AKRG)H#F[u7$$"3H!\v.4hU-#F[u$"3Vw;a**yFHAF[u7$$"3CwBjmQ19?F[u$"3;f&GQFfnH#F[uFf\x7'7$$"3#RthkT")*)y%F,$"3Eh&z!R!))))R#F[u7$$"33m#QNe=5@&F,$"3+GiB([A`m#F[u7$$"3Y7w=@Y/._F,$"33%e4&[5d'e#F[u7$$"3-tT(=4Xi.&F,$"3A"R*oDWqGEF[uF[^x7'7$$"3Q!)))Rp&y'fbF,$"3AvWs)oPRS#F[u7$$"3rs@-*zo#>gF,$"3198fPGFgEF[u7$$"3*f\r-1.++'F,$"3GkbfPM$=e#F[u7$$"3\-/oIh_ReF,$"3s*G'=ierFEF[uF`_x7'7$$"3_tz3R3^LjF,$"3l'z2fa['3CF[u7$$"3oKTv(*QQCoF,$"3k#*zS!)>cbEF[u7$$"3K7awEgR&z'F,$"3M)pfo!4gxDF[u7$$"3B@PK*\<3k'F,$"3%*p)\0S1mi#F[uFe`x7'7$$"3$=!)4*)eZ*4rF,$"3i9TH$*o'HT#F[u7$$"3ZdLN;X*oi(F,$"3mu;-LOC^EF[u7$$"3?sfF9!e&*e(F,$"3+nj7Q4&Qd#F[u7$$"3^ENkKkQSuF,$"3-#[\IZfai#F[uFjax7'7$$"3Uv-\'p?&))yF,$"3i*\(R!*>)oT#F[u7$$"3(p$R>x(osU)F,$"3m*G=f`Gtk#F[u7$$"3)Qj`i;hFQ)F,$"3'el(*o)GaqDF[u7$$"3e*\pgi"\Q#)F,$"3"zB@O!zKCEF[uF_cx7'7$$"3I16t"oN)o')F,$"3&*p,!yW3/U#F[u7$$"3>fTPg6!fA*F,$"3L>c^y?!Qk#F[u7$$"3[J[/,+Av"*F,$"3?#)e*o3Hwc#F[u7$$"3uw`m"*eON!*F,$"3wYP^!zUKi#F[uFddx7'7$$"3#HsyA$)o0X*F,$"3'f?)yTTdBCF[u7$$"3dfZ#y`6B+"F[u$"3J$eFXQO1k#F[u7$$"330sn215n**F,$"3cAwL:91lDF[u7$$"3XZ*))>A57$)*F,$"3I"=5bk?Ai#F[uFiex7'7$$"3rbTQUeMB5F[u$"3oHxMcDTECF[u7$$"3Y"e5bJ<>3"F[u$"3gf!o*pzzPEF[u7$$"3G(42=/`e2"F[u$"3e8'>%eZziDF[u7$$"3e%y"Q(R>E1"F[u$"3?iTU7'o7i#F[uF^gx7'7$$"37kz?T%H<5"F[u$"3:Do_\#e*GCF[u7$$"3Oy)GNXG9;"F[u$"37k*)ywADNEF[u7$$"3=#3')*)og\:"F[u$"3)z$4u_&)ygDF[u7$$"3"))HYuyX?9"F[u$"3>%)zqm!)Q?EF[uFchx7'7$$"3)*\s(f'3>!="F[u$"3xEe+kVCJCF[u7$$"3"yp,cwh3C"F[u$"3]i*4B;mHj#F[u7$$"3fiefg//M7F[u$"3?VO7@s+fDF[u7$$"3E>\V+=T@7F[u$"3i]?e-qd>EF[uFhix7'7$$"3_Y?C\mre7F[u$"3j1#eVS,LV#F[u7$$"3e1!z">2B?8F[u$"3k#ed>744j#F[u7$$"3l,3z#3)488F[u$"35?y&G-?ub#F[u7$$"3g@%R>)ps+8F[u$"3q%)[Mp:$)=EF[uF][y7'7$$"3DoifufHP8F[u$"3jwQ6jn:NCF[u7$$"39!*omIha*R"F[u$"3k7>?jP0HEF[u7$$"3'*)[WM(z8#R"F[u$"3S-#[$G1+cDF[u7$$"3)*Qfhz"***z8F[u$"3`1(eT.Z"=EF[uFb\y7'7$$"3U.lY>,#fT"F[u$"3TMo[nY$oV#F[u7$$"3Ig(QEs;)y9F[u$"3'[&*G)eePFEF[u7$$"3u*\;9cj6Z"F[u$"3['ROIfEZb#F[u7$$"35f:yb[Bf9F[u$"3R*pO&o$=vh#F[uFg]y7'7$$"3?_s8:?e%\"F[u$"36QiXYjNQCF[u7$$"3%o65Qc\!e:F[u$"3;^&f)zT&ei#F[u7$$"3W&\_b_x,b"F[u$"3=glUB)yNb#F[u7$$"36DWLZ$R%Q:F[u$"3sO;&GfSph#F[uF\_y7'7$$"3CyQ--fFt:F[u$"3Q+n*)*HS(RCF[u7$$"35'flPT]sj"F[u$"3*))3>kAqWi#F[u7$$"3hc8Ht>=H;F[u$"3#GWR.3TDb#F[u7$$"3y=$e!yqh<;F[u$"3]C\*y'*3kh#F[uFa`y7'7$$"3KD4Vgq*>l"F[u$"3w#4_Bg-5W#F[u7$$"3Ma1?#*RU;<F[u$"3^'pjR#z?BEF[u7$$"3OQUIu&y"3<F[u$"3?\N)y`*f^DF[u7$$"39MoHI<x'p"F[u$"3IiOV"4>fh#F[uFfay7'7$$"3?7#4.gT2t"F[u$"3<'4Q[?d@W#F[u7$$"3wsW;*=ubz"F[u$"35$px9K`?i#F[u7$$"35za!3mory"F[u$"3=FWW-Cu]DF[u7$$"3w#e_IQ1fx"F[u$"3FH\)p$pY:EF[uF[cy7'7$$"3&R'>z'H1&4=F[u$"3^UED;i@VCF[u7$$"3KEQ_HUqu=F[u$"3wYJ15V*4i#F[u7$$"3%y+%=.L:m=F[u$"33e(Q*)ef*\DF[u7$$"3'Qj`GiB]&=F[u$"3r+%\%e)[]h#F[uF`dy7'7$$"37eO9h%)G))=F[u$"301zWc,>WCF[u7$$"3YPU,-o"Q&>F[u$"3B$)y')p.-?EF[u7$$"3s0.LnL8X>F[u$"31%o*[[CC\DF[u7$$"3L&GnFjDT$>F[u$"3]7)eadhYh#F[uFeey7'7$$"3WUV4Re3n>F[u$"3U9^%)y")3XCF[u7$$"3Yec!4;9H.#F[u$"3&[nquMA">EF[u7$$"3H-HMe&4T-#F[u$"3_*z52a$e[DF[u7$$"3Zm)zRE9K,#F[u$"3FICl[@I9EF[uFjfy7'7$$"3RVjadoC-[F,$"3y@$3TGW4r#F[u7$$"3/cOXUJv(>&F,$"3)3%p*zb#z$)HF[u7$$"3qi6C^4`(>&F,$"3A"3n%=o(\!HF[u7$$"3&*zIi)3;n-&F,$"3LhOCH:YWHF[uF_hy7'7$$"3#[I")p\UJd&F,$"30iFH\q^:FF[u7$$"3G[(R9([!e+'F,$"3g+D"Gz>#zHF[u7$$"39*ot8SvY*fF,$"3a8Nb5%H0!HF[u7$$"3G`WtPgeHeF,$"3#[h.w`BP%HF[uFdiy7'7$$"3W:"yc1PpM'F,$"3x$GA!Q)Q)>FF[u7$$"3w!*R;rw&4"oF,$"3!*yH3/!)*[(HF[u7$$"3/:7f<LL!z'F,$"3#pJtGr8l*GF[u7$$"3Cl;i3_lImF,$"3VBVlO%QG%HF[uFijy7'7$$"3DE@(o[)=BrF,$"3h7xr&3ZQs#F[u7$$"30L5R=Ol8wF,$"3/]vQc(*)3(HF[u7$$"3E1j%*>Xz%e(F,$"3/!>^Z1@H*GF[u7$$"3#e$G0&3N,V(F,$"3(R\9P$e)=%HF[uF^\z7'7$$"3+C2)eK"\,zF,$"3&f=k/()=vs#F[u7$$"3R)[.y9)H9%)F,$"3qw5krz@nHF[u7$$"35iy'[B.$y$)F,$"3O%*es')Rs*)GF[u7$$"39v&HK>T#G#)F,$"35<X6,#>4%HF[uFc]z7'7$$"3ioQN!=$\"o)F,$"37w!*GTk&3t#F[u7$$"3'oR^<mVK@*F,$"3a'=;3S!)Q'HF[u7$$"35DM-iy0r"*F,$"3#y>E@-')o)GF[u7$$"3$p$pz[Z<D!*F,$"3l<d=XC(*RHF[uFh^z7'7$$"3QTg*GR(*GY*F,$"3z*)Gp-m(Qt#F[u7$$"3sFIw"oy5+"F[u$"3'GP7%R-'3'HF[u7$$"3'RTT?3;K'**F,$"3o4rrE!oV)GF[u7$$"3I'zwIZ96#)*F,$"3k5kGac1RHF[uF]`z7'7$$"396)3G*eaC5F[u$"3'yp:%[NgOFF[u7$$"3-Ef3lsr!3"F[u$"3![c*o$HL"eHF[u7$$"3Mjg0o,\v5F[u$"3#*QED?=8#)GF[u7$$"3]"3PWW@;1"F[u$"3Nefdt&4#QHF[uFbaz7'7$$"3;MUv`x*G5"F[u$"3/w`#oKk!RFF[u7$$"3K3E)49g-;"F[u$"3i'))z_^sc&HF[u7$$"3M0@CE6ia6F[u$"3OBx=v?9!)GF[u7$$"3[lBW801T6F[u$"3U$QP%e)3u$HF[uFgbz7'7$$"3w!*)>A/H8="F[u$"31S.<UhGTFF[u7$$"3-d!f$*eB(R7F[u$"3gA\$**p]M&HF[u7$$"3)49e,,APB"F[u$"3e]iG9rOyGF[u7$$"34qu#zeR/A"F[u$"30&=!=PVmOHF[uF\dz7'7$$"3%\8#>Vl#)f7F[u$"3vc!\D'[HVFF[u7$$"3;=*G_#37>8F[u$"3!f?c&z>W^HF[u7$$"3"e!Q4$p)z78F[u$"3)3Mww2zn(GF[u7$$"3eBD4!yn(*H"F[u$"3MH(4f`uf$HF[uFaez7'7$$"3'\6)e>&z$Q8F[u$"3moaX&G9^u#F[u7$$"3WV]n&ei%)R"F[u$"3+%z\mbA'\HF[u7$$"3C!G7Ixb=R"F[u$"33)[$H`PNvGF[u7$$"31PNbnE0z8F[u$"3LQp$4oO`$HF[uFffz7'7$$"3W>[3D#zpT"F[u$"3Yu!p#fewYFF[u7$$"3GW/-<wvx9F[u$"3?)=OG)4(z%HF[u7$$"3%='f?mo*3Z"F[u$"3GXJV[-2uGF[u7$$"3c<i7_0Ie9F[u$"33x)[IMZZ$HF[uF[hz7'7$$"3aJkz3&=c\"F[u$"3Y&*GRm'o#[FF[u7$$"3[P4:qI,d:F[u$"3=nBrv"ok%HF[u7$$"3W@]\K[#*\:F[u$"393vk/1"H(GF[u7$$"3R^K"Ho;v`"F[u$"3()*3L<%G?MHF[uF`iz7'7$$"3#G#og)\"Hu:F[u$"3'3p#)oaR'\FF[u7$$"3^^E=<[BO;F[u$"3!=dA_H(4XHF[u7$$"3(38Mq%>%*G;F[u$"3A$f4:Tf=(GF[u7$$"3=#[!fVaq;;F[u$"3%*G6A"\*pLHF[uFejz7'7$$"3)=gi#\L*Hl"F[u$"3y63B*G$*3v#F[u7$$"3wx*oLqFar"F[u$"3(3XuGbVQ%HF[u7$$"3g2m>J+&zq"F[u$"3#36apW.4(GF[u7$$"3o])yr]qep"F[u$"3mUO!QuLK$HF[uFj[[l7'7$$"3&eG#fU+sJ<F[u$"3wF$R`%G/_FF[u7$$"35*R")ou&f%z"F[u$"3!\$fw'*RpUHF[u7$$"33c$*Q_0&py"F[u$"33qD%fNJ+(GF[u7$$"39Pexi\,v<F[u$"3v,7RnA!G$HF[uF_][l7'7$$"3Q/d8H#o/"=F[u$"3a)onba*4`FF[u7$$"3)e3!=(HUP(=F[u$"36uv`'HP;%HF[u7$$"3MmSQ+Z%f'=F[u$"3GWtUqLBpGF[u7$$"3%e\7)=99a=F[u$"3c^;p")>SKHF[uFd^[l7'7$$"3?jVV-^B*)=F[u$"3)\%\>,L2aFF[u7$$"3OKNsg,(G&>F[u$"3n<."4aj1%HF[u7$$"38oz"fWL\%>F[u$"3eQ!e!p5]oGF[u7$$"3XMU+(3_K$>F[u$"3CEn"*o+.KHF[uFi_[l7'7$$"3[0]**)H=!o>F[u$"3q)>Q%)ys\v#F[u7$$"3U&*\+,<)>.#F[u$"3&R1nO0k(RHF[u7$$"3_nG*ee<R-#F[u$"3-hc(H<Fy'GF[u7$$"3df0f])[B,#F[u$"3YMcJpRoJHF[uF^a[l7'7$$"3Gqs[6Oa9[F,$"3</7#Gh![BIF[u7$$"3GIF^)Qca=&F,$"3'=`t]a#y,LF[u7$$"3g1kPhfE#>&F,$"3gTr!)zO,BKF[u7$$"3P8H!>(o.=]F,$"3q;NrQJ/gKF[uFcb[l7'7$$"390eQhRy&e&F,$"3=!H!=%\2w-$F[u7$$"3'zCNqSjJ*fF,$"3%eW9PmbwH$F[u7$$"3'47$o2T\*)fF,$"3#[f`f\`)=KF[u7$$"3&RNJ>BK/#eF,$"3-kU%RaB&fKF[uFhc[l7'7$$"3Mgy0g7pfjF,$"3fr6!R#HbJIF[u7$$"3'eC%ywM?)z'F,$"3WkN*RB5PH$F[u7$$"3U$47XsB`y'F,$"3x?+EVC1:KF[u7$$"3#)f*y#p=?@mF,$"3s/Kcz0%)eKF[uF]e[l7'7$$"3I7t/O"**e8(F,$"3jq!\@n]_.$F[u7$$"3+Ze@pH%4g(F,$"3Slcu&[7+H$F[u7$$"3ubmd-S+!e(F,$"37"z<r\T;@$F[u7$$"3%pTc"\?^?uF,$"3C;"HJPo!eKF[uFbf[l7'7$$"3>9(*o%))eS"zF,$"3(f!*Q74q'QIF[u7$$"3@)\%**)eI<S)F,$"31IelmIf'G$F[u7$$"3[%[t(R=vt$)F,$"3wig-AKd3KF[u7$$"369")*eHT&=#)F,$"3oc"RQ6fsD$F[uFgg[l7'7$$"3C=SH>%eQp)F,$"3MAQJoW!=/$F[u7$$"3CZ7"GUy3?*F,$"3q84e*oeMG$F[u7$$"3!*z?$yQ[n;*F,$"33]ZVn-$e?$F[u7$$"3.<S:cBY:!*F,$"3O`DXkxWcKF[uF\i[l7'7$$"3iHepG'G]Z*F,$"3IUV(Q%>mWIF[u7$$"3'*)[I=eb')***F,$"3u$R?S@,1G$F[u7$$"3shx0L69f**F,$"3fy)=::"Q.KF[u7$$"3j(yU)3HV6)*F,$"3)*)[tcdccD$F[uFaj[l7'7$$"3:63bpUtD5F[u$"3eX=gP!fs/$F[u7$$"3-ERM)))G&z5F[u$"3Y!*GH?T+yKF[u7$$"3'y.*fL[5v5F[u$"3wIJ*Q'Q>,KF[u7$$"3gXz&)*=f11"F[u$"37d#))\#))*[D$F[uFf[\l7'7$$"34()>c/71/6F[u$"3-;ifCjh\IF[u7$$"3Sb[<!p'4f6F[u$"3-?&)HLokvKF[u7$$"3#4+&[.kDa6F[u$"3CM^v7zB*>$F[u7$$"3?J&RD"f5S6F[u$"3K['eDn"=aKF[uF[]\l7'7$$"3C&QN!4"oC="F[u$"3Kg"\Uqb<0$F[u7$$"3biNaAXeQ7F[u$"3svbk`u]tKF[u7$$"3giqktiPL7F[u$"3uw;\[`[(>$F[u7$$"3n&Q1;l$\>7F[u$"3'p+WYB3ND$F[uF`^\l7'7$$"3CaL$3>U4E"F[u$"3q<k$=x)p`IF[u7$$"3'))p(ex^+=8F[u$"3M=$egQk:F$F[u7$$"3i*y1^MqCJ"F[u$"3M"HQg:6f>$F[u7$$"3apg*>,J))H"F[u$"3)=r9y.zGD$F[uFe_\l7'7$$"3P2U:SHZR8F[u$"3#yx*o<fYbIF[u7$$"3-^*3^;ptR"F[u$"3Ae\?SszpKF[u7$$"3'z'\E+La"R"F[u$"3')*\]?G$\%>$F[u7$$"3s?f:H_7y8F[u$"3i&)pH8IH_KF[uFj`\l7'7$$"3*\mi>r^!=9F[u$"3MTrv()e2dIF[u7$$"3s)fU,8&ow9F[u$"3q%fP,F(=oKF[u7$$"3i'3pr'))fq9F[u$"3ijq=nC@$>$F[u7$$"3KT))GyBQd9F[u$"3AkL+j"[<D$F[uF_b\l7'7$$"3U]>Dx8n'\"F[u$"3m*\iciX&eIF[u7$$"3g=ap,-'fb"F[u$"3QOABKvrmKF[u7$$"3MH58F+k\:F[u$"35(H.v)>0#>$F[u7$$"3>Gb>ivgO:F[u$"3Of$Rs*>C^KF[uFdc\l7'7$$"3))R4APgKv:F[u$"3+Qm))y-*)fIF[u7$$"3XM&o&y-?N;F[u$"3/)43!zGPlKF[u7$$"3Uh!)Rw"p'G;F[u$"3u2-glt*4>$F[u7$$"3zQ$>P20eh"F[u$"3Ocba;=x]KF[uFid\l7'7$$"31p%*e"z5Sl"F[u$"37#GHYHB61$F[u7$$"3e5@/h-T9<F[u$"3#RXlK')RTE$F[u7$$"3s@P^^#)o2<F[u$"3!eKt\3O+>$F[u7$$"3qa*4J`y\p"F[u$"3#faV'))[L]KF[uF^f\l7'7$$"3'fzL>b@Ft"F[u$"3q*y*RflDiIF[u7$$"3+*))RvB%f$z"F[u$"3MY\\)f1IE$F[u7$$"3Yh_TE))p'y"F[u$"3sBJ^Ct:*=$F[u7$$"3k'y)f-58u<F[u$"3s1Kkb&G*\KF[uFcg\l7'7$$"3"*G&3<*[X6=F[u$"39o$4[b+L1$F[u7$$"3OhsgMcvs=F[u$"3!zO&3.E'>E$F[u7$$"3COgr(=-d'=F[u$"3s+ZW?<N)=$F[u7$$"371z="3lK&=F[u$"3u,'QaH]&\KF[uFhh\l7'7$$"3uwc!e#z?!*=F[u$"3/RRr8XEkIF[u7$$"3#)=ANPt*=&>F[u$"3+(z!=W')*4E$F[u7$$"3Qu(=KR*pW>F[u$"3+Ylbd6h(=$F[u7$$"3(Rv8F)HQK>F[u$"3?xrT`x>\KF[uF]j\l7'7$$"3ep>t8#y*o>F[u$"33o`6ol:lIF[u7$$"3aJ!oiy@5.#F[u$"3'zOz(*e1,E$F[u7$$"3#pa`vJ"pB?F[u$"3s76o)eGp=$F[u7$$"3WIO++m[6?F[u$"3gZHEb(o)[KF[uFb[]l7'7$$"3Qn6//8#e#[F,$"3g1))Qa)QkL$F[u7$$"31K)efpyT<&F,$"3"GS&H>1N>OF[u7$$"3u>OhIYJ(=&F,$"3NGDi&e42a$F[u7$$"3G]c!ee*>5]F,$"3av*[_E([vNF[uFg\]l7'7$$"3kwC^zy](f&F,$"3oy()y5(e,M$F[u7$$"3Yw&3*)[R9)fF,$"3tIa*GwIch$F[u7$$"3gz+)zeWX)fF,$"3'4;PzsCo`$F[u7$$"3&*R1JEr37eF,$"3'[?v-!R:vNF[uF\^]l7'7$$"3)zJS*=FkrjF,$"39!GKc&3vVLF[u7$$"3A)y,z,_iy'F,$"3FH>0='Q?h$F[u7$$"3IG&ePOm/y'F,$"3<%zL%*pcK`$F[u7$$"3s-@Fzl]7mF,$"3a9,yF&[Yd$F[uFa_]l7'7$$"3'f+?3SAz9(F,$"3Ix:_"))[rM$F[u7$$"3M`JW/(>*)e(F,$"36KE;#fS'3OF[u7$$"3?L:+oNHvvF,$"3tDKogG,INF[u7$$"3=Jd"pS)e6uF,$"3#p$\\"4RSd$F[uFf`]l7'7$$"3vt?knx/EzF,$"3)*f;2%z<.N$F[u7$$"3kQ@/1<u*Q)F,$"3W\Dhz;Z0OF[u7$$"3sn5AFx@p$)F,$"3I+f;(=$3FNF[u7$$"3[`bu>.[4#)F,$"3?SGo)HvLd$F[uF[b]l7'7$$"36A"f4mVdq)F,$"3m3uKQZC`LF[u7$$"3QVh9"=$**)=*F,$"3v+oNNZa-OF[u7$$"3%yl@0!HSi"*F,$"3$))3$\(\ZW_$F[u7$$"3jGjM"GIj+*F,$"3;$4Dz!>psNF[uF`c]l7'7$$"3YmF^^uw'[*F,$"3-C:C`8$fN$F[u7$$"39_N,fn"p)**F,$"3Q&oU/7e)*f$F[u7$$"35DabHc)\&**F,$"3()*z6*R13ANF[u7$$"3aU7[&)oF-)*F,$"3]hRW7A,sNF[uFed]l7'7$$"3UG2cw5*o-"F[u$"3#ey0Z0)QeLF[u7$$"3u3SL"3s$y5F[u$"3eB%y*=9S(f$F[u7$$"33ug(Qv2Z2"F[u$"3_sI51f&*>NF[u7$$"3/R*=)zWuf5F[u$"3sI<?46NrNF[uFje]l7'7$$"3XF:Qc(*>06F[u$"3e6#R4/I1O$F[u7$$"3-:`NQ"ez:"F[u$"3#y*\uK%f^f$F[u7$$"3_67b#*o(Q:"F[u$"3MMpE/r/=NF[u7$$"3'p[LYL%>R6F[u$"3'))4/cb<2d$F[uF_g]l7'7$$"3o`1xd!)e$="F[u$"3+<g!zkuEO$F[u7$$"36%H3QdkuB"F[u$"3S#>yd#[6$f$F[u7$$"3\!G2OC8IB"F[u$"3#HfLGqHj^$F[u7$$"3W48B)o'e=7F[u$"3SPynCk6qNF[uFdh]l7'7$$"3#4y.jsV?E"F[u$"3#[CUVoRXO$F[u7$$"3=ss6UO!pJ"F[u$"3ek>M*y\7f$F[u7$$"3EVICSE778F[u$"3AJcZq8y9NF[u7$$"3e@&>OgHzH"F[u$"3G+h4`)\&pNF[uFii]l7'7$$"3i#>$e(ec0M"F[u$"3!fNW8WUiO$F[u7$$"3yl*zw^&G'R"F[u$"3]`)RB.Z&*e$F[u7$$"3]z]ro(47R"F[u$"3s)f?f9#Q8NF[u7$$"3#e3]?$*HsP"F[u$"3e5sY%>=!pNF[uF^[^l7'7$$"3j$HJZ>=">9F[u$"3yg=B["*znLF[u7$$"33qRPZ'=cZ"F[u$"3k[BXD.*ze$F[u7$$"3I[)pASy-Z"F[u$"3/55b%R9@^$F[u7$$"3?`6#)yM\c9F[u$"3W:Exz1_oNF[uFc\^l7'7$$"3U+*o\_@x\"F[u$"3+"esMrC#pLF[u7$$"3go%yR05\b"F[u$"3SG;@gZc'e$F[u7$$"3GZ"*R*eJ$\:F[u$"3/C/Q_E'4^$F[u7$$"3A:T4f^sN:F[u$"3Yw\<ne0oNF[uFh]^l7'7$$"3![HC]sgjd"F[u$"3eSrATE`qLF[u7$$"3`z^w!flTj"F[u$"3%)oqXKoD&e$F[u7$$"3iAYT.=PG;F[u$"3vI]?>M"*4NF[u7$$"31f(=q8H\h"F[u$"3)Q,.N%>inNF[uF]_^l7'7$$"3c$=03!4.b;F[u$"3oUrQ^]trLF[u7$$"34'RE=:!R8<F[u$"3smqHAW0%e$F[u7$$"3K=mWg5S2<F[u$"3rjZEP\&*3NF[u7$$"3Ks5CY*3Tp"F[u$"3Q2w'G#p@nNF[uFb`^l7'7$$"3ic7CXzsL<F[u$"3OE!envUGP$F[u7$$"3MGCBWye#z"F[u$"3/$=EprYHe$F[u7$$"3))yKA75U'y"F[u$"3y)36c(p23NF[u7$$"3[2jM#fnKx"F[u$"3u31xu(Qoc$F[uFga^l7'7$$"3&*)4&4)R[C"=F[u$"3E)\G$o`'QP$F[u7$$"3K"p?#G@wr=F[u$"3;6dN0T#>e$F[u7$$"3]cc'*=IVl=F[u$"3)[8l/jqs]$F[u7$$"3[PZ$*QwS_=F[u$"3E^QP/b[mNF[uF\c^l7'7$$"3%y6v?L*="*=F[u$"3/,a"4T6[P$F[u7$$"3sxF3Jf"4&>F[u$"3O3)oF1y4e$F[u7$$"3Ql.s1#QW%>F[u$"3$)f7&f9Gl]$F[u7$$"3B]SVz7`J>F[u$"3MSsi+_:mNF[uFad^l7'7$$"3#e#eNg#[*p>F[u$"3U#4%yQ%)ovLF[u7$$"32vTkR<0I?F[u$"3+<,!\.,,e$F[u7$$"3>ogb7vVB?F[u$"3e"=;ivUe]$F[u7$$"3$3^snRS1,#F[u$"31]!RI1Yec$F[uFfe^l7'7$$"3UM&Q@V1h$[F,$"3!Hl&\![b(\OF[u7$$"3-l9'yc$*Q;&F,$"3*)H!y*3.cORF[u7$$"3!zu7qq,F=&F,$"3Y#3Q4?."eQF[u7$$"3o$GDaV\J+&F,$"3i)3@LGF3*QF[uF[g^l7'7$$"3u`8EkOI3cF,$"3)>h(pb$4Jl$F[u7$$"3O*pfTqV1(fF,$"3#32wPV1K$RF[u7$$"33E(f'[7()zfF,$"3wV!*\IoZaQF[u7$$"3"ebz*>$=X!eF,$"3GGA[W/l!*QF[uF`h^l7'7$$"3%\&za/$[FQ'F,$"3=FrK/kPcOF[u7$$"3E^THKk9vnF,$"3hbl9&QR*HRF[u7$$"3G!HFc*3#ex'F,$"3ip?(e0C6&QF[u7$$"3O$=[afeXg'F,$"3UJ(e*o%)H!*QF[uFei^l7'7$$"3!44uaV)=frF,$"3SQ')[,A\fOF[u7$$"3So!*ypOlxvF,$"3QW])zeBo#RF[u7$$"3a*)Gt9QtqvF,$"33a%)Qbi0[QF[u7$$"3nel3jFP.uF,$"3oKUhMI$)*)QF[uFjj^l7'7$$"3-Y'Hh@nt$zF,$"3?1`//)>Cm$F[u7$$"3QmXbdAUy$)F,$"3fw$Ga)f*Q#RF[u7$$"3-&R<&f(yZO)F,$"3CWL0M(o_%QF[u7$$"3j[6U?L3,#)F,$"3klA-H2I*)QF[uF_\_l7'7$$"34+Z9MB/<()F,$"3!**f!p(RU^m$F[u7$$"3Sl0'z]%px"*F,$"3)G3$y"Rt6#RF[u7$$"33^C]WO5e"*F,$"3isL^MouUQF[u7$$"3-[@+Hr"y**)F,$"3QcE`w_t))QF[uFd]_l7'7$$"3')e2lvc*z\*F,$"3E18h9plnOF[u7$$"3ufb([`)ov**F,$"3_wB'[()e'=RF[u7$$"3cm_1eS$3&**F,$"3bD^9@0ZSQF[u7$$"3Y-$Qg$fp$z*F,$"3'z1"f">g"))QF[uFi^_l7'7$$"3DUFZlO+G5F[u$"3eKL"\0p*pOF[u7$$"3#\*>U#\fs2"F[u$"3@].cMnM;RF[u7$$"39>)["\uIu5F[u$"39OKBNvTQQF[u7$$"35RR)p8$))e5F[u$"3etv8p7f()QF[uF^`_l7'7$$"3;&H4i=+j5"F[u$"3'=,22n*3sOF[u7$$"3KZv_3x&o:"F[u$"3$4nm(=hA9RF[u7$$"3gDm=!3"\`6F[u$"3^%pv+Tll$QF[u7$$"3\m%GvGK$Q6F[u$"3i\n&)p'Qq)QF[uFca_l7'7$$"3!fa=OGvY="F[u$"3/AX8yA.uOF[u7$$"3*=SgzMxjB"F[u$"3vg"R8^$G7RF[u7$$"3=kaM.8kK7F[u$"3E/B6fE*[$QF[u7$$"3En7+Uds<7F[u$"3YBpM`&3l)QF[uFhb_l7'7$$"3g5>)oI<JE"F[u$"3[1zuB9"en$F[u7$$"3]U"R:1IeJ"F[u$"3JwdslV]5RF[u7$$"3]'=9Q"Qw68F[u$"3LsAB.%zL$QF[u7$$"3'))yXp,rqH"F[u$"3%)3%)H.V+')QF[uF]d_l7'7$$"3q\Va([;;M"F[u$"3Mq5th;WxOF[u7$$"3q3)=xhD_R"F[u$"3X7EuFT()3RF[u7$$"33Ow-RK'3R"F[u$"355RAQw+KQF[u7$$"37Zq5iXPw8F[u$"3!y2[)>u_&)QF[uFbe_l7'7$$"3)HE&HXY;?9F[u$"3o*HK*\p$*yOF[u7$$"3u++"o>sXZ"F[u$"35$QT&R)yt!RF[u7$$"3UIhHVL%*p9F[u$"3yzx[$Gh2$QF[u7$$"3IM"R%*)=kb9F[u$"3%H**\d:y])QF[uFgf_l7'7$$"3)*4hcE\v)\"F[u$"3=RASB.J!o$F[u7$$"31f7Q_m(Qb"F[u$"3hV92ma+1RF[u7$$"3cG_X'>2!\:F[u$"3#4")ph5E'HQF[u7$$"3"*4"z3qx[`"F[u$"3cM>Wifl%)QF[uF\h_l7'7$$"3G;l()z:Qx:F[u$"3!G8Qgut:o$F[u7$$"31eH"ftWJj"F[u$"3)*\bVV?u/RF[u7$$"3b]$H0Jd!G;F[u$"3!\l(*4e*eGQF[u7$$"3H)=Nk+'39;F[u$"3-.2W)zfU)QF[uFai_l7'7$$"3!R.nmwRgl"F[u$"3;g!HE2QFo$F[u7$$"3vXX'fG"Q7<F[u$"3iAY%orxN!RF[u7$$"3IKLO\d42<F[u$"3O*f[HsSw#QF[u7$$"3'3.m!H-F$p"F[u$"3w[RrR$))Q)QF[uFfj_l7'7$$"3Z_g,/asM<F[u$"3u&RUj28Qo$F[u7$$"3]KwX&Q!f"z"F[u$"30(GJJr-D!RF[u7$$"3Gn"zg@Chy"F[u$"3uQTk9*pn#QF[u7$$"33G!zbHLCx"F[u$"3e\m6@,a$)QF[uF[\`l7'7$$"3#pBh[.NM"=F[u$"3/)3iC^2[o$F[u7$$"3M`XX"\v2(=F[u$"3v%f6qF3:!RF[u7$$"395&oE7W^'=F[u$"3o=*[1uof#QF[u7$$"3!4R.Urx:&=F[u$"3izX")HO@$)QF[uF`]`l7'7$$"3?k.P@d;#*=F[u$"3e+'e)*>Hdo$F[u7$$"3QJvyT&R*\>F[u$"3?#3:'*e'e+RF[u7$$"38'o\`kcT%>F[u$"3Iko#[$)H_#QF[u7$$"3-.z9ScqI>F[u$"3QOLalt!H)QF[uFe^`l7'7$$"3CT,]d\"4(>F[u$"3Q_Cv3^e'o$F[u7$$"3Wf)*\U]3H?F[u$"3SI7s!oI(**QF[u7$$"39^8loF;B?F[u$"3sA\GVnaCQF[u7$$"3RRLnI*=)4?F[u$"3#[(H9y)>E)QF[uFj_`l7'7$$"3/Of`/GYX[F,$"3spX_P:PjRF[u7$$"3'R1ka>PX:&F,$"3!peQxcqMD%F[u7$$"3S'eU$>zUy^F,$"3o#yY>KM_<%F[u7$$"3]hS[ML"o*\F,$"3P26k[-41UF[uF_a`l7'7$$"3mYHOhm?=cF,$"3Q](yYN*RmRF[u7$$"3W1"eqqS2'fF,$"3!eS%e]FW]UF[u7$$"3ELh@e;\vfF,$"3a"eXORZ=<%F[u7$$"3sWNGj"owz&F,$"3R"[2#4P/1UF[uFdb`l7'7$$"31GC+8k,$R'F,$"3%*z4V86PpRF[u7$$"39y'RQKy[w'F,$"3Ew@$=*4ZZUF[u7$$"3geY'f:>9x'F,$"33%o6\\)poTF[u7$$"3EdA(4c;tf'F,$"3cp-,4F#e?%F[uFic`l7'7$$"3!*3*)>H>oprF,$"3IQ3'**eDA(RF[u7$$"3S]U1w,;nvF,$"3(yJ-`^;YC%F[u7$$"3k.Ia#)yOmvF,$"3[r(p3O,e;%F[u7$$"3)>&p'*R$ReR(F,$"3DG==RH[0UF[uF^e`l7'7$$"3SV$R3.#)z%zF,$"3k#4<y]D\(RF[u7$$"3+p[%GW2yO)F,$"3)R1Yuf;>C%F[u7$$"3'eNv.e'[g$)F,$"3u$4Yd/bJ;%F[u7$$"3'\&)Q$p&QL>)F,$"3=XY/;w10UF[uFcf`l7'7$$"3;&pIs2.xs)F,$"3_C*z^q^u(RF[u7$$"3MqX([wLq;*F,$"3lJK3+/RRUF[u7$$"3[i>:x$3R:*F,$"3Utle&3\2;%F[u7$$"3AOj^%QB**)*)F,$"3g(opD$*3Y?%F[uFhg`l7'7$$"3$Qs+?4\'3&*F,$"3ei"GM#yzzRF[u7$$"3w%fD&=^.l**F,$"3g$*\$=GWqB%F[u7$$"3Io%f(p$[n%**F,$"39aTn?vceTF[u7$$"3QL.%3#4q&y*F,$"3"o))))*e+8/UF[uF]i`l7'7$$"3E0uG5Y1H5F[u$"35u/I/g'>)RF[u7$$"3#>L2wa)>w5F[u$"3k"oi45w[B%F[u7$$"3M'oWdQ5R2"F[u$"3+c!Q%o<fcTF[u7$$"3cd-#f6x!e5F[u$"3(Hy&>\rk.UF[uFbj`l7'7$$"3*RAr8Hat5"F[u$"3+RM*zljR)RF[u7$$"3]=cO.O!e:"F[u$"3j<(psWyGB%F[u7$$"3GY*RFf0J:"F[u$"33bk(H`-[:%F[u7$$"3jy(*\YC_P6F[u$"3rDv6'4rJ?%F[uFg[al7'7$$"3E$fE+*4s&="F[u$"3/&>xg;,e)RF[u7$$"3`aBbT;LN7F[u$"39hf=R4/JUF[u7$$"3Tl1cdrEK7F[u$"3#\0]s)4=`TF[u7$$"3ASUG$39p@"F[u$"3_1mNa*3F?%F[uF\]al7'7$$"3;k[b'o`TE"F[u$"3[*3"=@.\()RF[u7$$"3&*)=m=o$z98F[u$"38n?3%y^$HUF[u7$$"3*GAm**e+9J"F[u$"3->`lV%4<:%F[u7$$"3-*esD,fiH"F[u$"3-eW(*Q]E-UF[uFa^al7'7$$"3[G^udIkU8F[u$"3q+$\9JV!*)RF[u7$$"3#*H!=v/*>%R"F[u$"3[bQ"Qz)zFUF[u7$$"3m^!oIT50R"F[u$"3A(3(*Ror.:%F[u7$$"3];x`$GjbP"F[u$"3Hn.7Z<%=?%F[uFf_al7'7$$"3QRFML7=@9F[u$"3Y`(4-4s/*RF[u7$$"3MCDw3cbt9F[u$"3:.M0:+PEUF[u7$$"3_d.(3M+'p9F[u$"3q-FvtI:\TF[u7$$"3o_U%o5K[X"F[u$"3)zyY&e,W,UF[uF[aal7'7$$"33m?Ls:w*\"F[u$"31=!z(3!)y"*RF[u7$$"3%HI:m+qGb"F[u$"35QT['4a]A%F[u7$$"3/hH5GMn[:F[u$"3GyD#paS![TF[u7$$"3=&R0&e*pS`"F[u$"3?w'[rYg5?%F[uF`bal7'7$$"3O^g"fYy$y:F[u$"35.'*pB;+$*RF[u7$$"3*HUt)\y9K;F[u$"3_`Nc"[SQA%F[u7$$"3&*or*R>Kxi"F[u$"3cS@j=D-ZTF[u7$$"3_:K_z1G8;F[u$"3#He\pG-2?%F[uFecal7'7$$"3?+6Vor-d;F[u$"3Ay`?;E7%*RF[u7$$"3Wz/?%)QR6<F[u$"3%zxd!*[>FA%F[u7$$"3@)p'>B(ynq"F[u$"3S)f!*>w)3YTF[u7$$"3UbfrmvY#p"F[u$"3MGqcm[O+UF[uFjdal7'7$$"3u[SdaOqN<F[u$"3%=_T9yf^*RF[u7$$"3AO'**[871z"F[u$"3xM;#QK#o@UF[u7$$"37]IQZZ"ey"F[u$"3gD!o;FI_9%F[u7$$"3%Rk$*HXL;x"F[u$"3)otfyBZ+?%F[uF_fal7'7$$"3a'=o+]/W"=F[u$"3')G12f57'*RF[u7$$"3s.wCEg!)p=F[u$"3IFD>Y5s?UF[u7$$"31$G?5rT['=F[u$"3F'*pSF"RW9%F[u7$$"3SA]$px!y]=F[u$"3mZ%4xJ[(*>%F[uFdgal7'7$$"3'4&H`#yEJ*=F[u$"3!)HGq'e8q*RF[u7$$"3gW\i![y*[>F[u$"3#fKg&=&G)>UF[u7$$"3S"o:U#3'Q%>F[u$"3t*HjZO3P9%F[u7$$"3HD"QBk6*H>F[u$"3o1=pwpY*>%F[uFihal7'7$$"3U.fT**z'=(>F[u$"3oBiEkP%y*RF[u7$$"3[(4%e+?8G?F[u$"3%H$p*4M)**=UF[u7$$"3t69A0J(G-#F[u$"3')yunc=.VTF[u7$$"3]w;yoy-4?F[u$"3+$R5X3-#*>%F[uF^jal7'7$$"37')f>-&pR&[F,$"3ABlR[fBxUF[u7$$"3!R,/y\Ig9&F,$"3A2hlsC8qXF[u7$$"3c<.<1/[u^F,$"3Gl(>O!)R@\%F[u7$$"3oY@hoW6"*\F,$"3rmzMEsH@XF[uFc[bl7'7$$"3n#zD%o^FFcF,$"3Cxtx#zu*zUF[u7$$"3Ug_***>s;&fF,$"3?`_FGORnXF[u7$$"3m$oZd^19(fF,$"3Y=f^1G(*)[%F[u7$$"3!o7<"\)p9z&F,$"3jO4]V%e8_%F[uFh\bl7'7$$"3]?d<vU[-kF,$"3ARh][0o#G%F[u7$$"3q&Qm;Y5av'F,$"3A"\YD(yokXF[u7$$"3S#))fO6usw'F,$"3SX%pqf9g[%F[u7$$"3g[?4)GD2f'F,$"3BIuo%R[7_%F[uF]^bl7'7$$"31S#R3\?%zrF,$"3y,Uk&y&H&G%F[u7$$"3C>RU9;UdvF,$"3mG%3ajs?c%F[u7$$"33CCKJ">Ac(F,$"3o9SbL,G$[%F[u7$$"3O<Po4[%*)Q(F,$"3Y=_sXs,@XF[uFb_bl7'7$$"35(**yjZ#*y&zF,$"3Sm7tIRy(G%F[u7$$"3I:_I(*p*yN)F,$"3/k8K!\%efXF[u7$$"3)Qw7@&HPc$)F,$"3snJk]5x![%F[u7$$"3%>IAT+9i=)F,$"3hNcJN[q?XF[uFg`bl7'7$$"3EH">TL6xt)F,$"3k_EIBY7!H%F[u7$$"3COh)z]Dq:*F,$"3yx*\xzVsb%F[u7$$"3m2%[^Ub)\"*F,$"3#=7xT.![yWF[u7$$"3=3gXFsi#)*)F,$"3Ey"oecT._%F[uF\bbl7'7$$"30r/me2q=&*F,$"3EMoz#H4BH%F[u7$$"3aZe'=X$)\&**F,$"3='zb#G"f]b%F[u7$$"33'z%*)y=xU**F,$"3Y<(*RUVRwWF[u7$$"3_DK1x!z#y(*F,$"38a!Qz*)\*>XF[uFacbl7'7$$"3_S+w'>q+."F[u$"3A"*)=8XPVH%F[u7$$"3k'pM6'H>v5F[u$"3ARPtp4.`XF[u7$$"3Ox+kk7_t5F[u$"3uZY;+%)\uWF[u7$$"3=+1^FfKd5F[u$"3"H,K*ffa>XF[uFfdbl7'7$$"3'R;Jb_d$36F[u$"3o-Z%e#Q@'H%F[u7$$"3_yc?p.![:"F[u$"3wFz?&fa6b%F[u7$$"31T!pzRDF:"F[u$"3Wt"e+evFZ%F[u7$$"3Lc#>#**\wO6F[u$"3SIK**=59>XF[uF[fbl7'7$$"3[<%pg&*>n="F[u$"3#zmSDEYzH%F[u7$$"3II&4bnKVB"F[u$"3_i>^e@U\XF[u7$$"3v'*Gogf*=B"F[u$"3ud/ZZ$47Z%F[u7$$"3Okp/yC:;7F[u$"3Fq"yBrU(=XF[uF`gbl7'7$$"3ugQl*4Z^E"F[u$"3Kp;iiUa*H%F[u7$$"3O#>n(o-!QJ"F[u$"35h4VeT#ya%F[u7$$"3>prB[#Q5J"F[u$"3yRp#R%RypWF[u7$$"3sKQ3\[\&H"F[u$"3A#3DW-c$=XF[uFehbl7'7$$"3!QjbP4IOM"F[u$"3\t(\&**z,,VF[u7$$"3gCv]6?@$R"F[u$"3'p&G]@/NYXF[u7$$"3cm-n[m:!R"F[u$"3;reW`Z[oWF[u7$$"3[QS<uxzu8F[u$"36w"oY.%)z^%F[uFjibl7'7$$"3hSbo,9;A9F[u$"3O'>VfoxBI%F[u7$$"35B(>/WvDZ"F[u$"33M%4^t!*\a%F[u7$$"3i/]$eza#p9F[u$"3#pRu9Y)HnWF[u7$$"3Ga)ye;mSX"F[u$"3"*)o5oZGw^%F[uF_[cl7'7$$"3n`.!>iM2]"F[u$"3!Hk]c=LOI%F[u7$$"3O:q/dp*=b"F[u$"3a()>SN_tVXF[u7$$"3?P`!=qN$[:F[u$"3/,;Y%38iY%F[u7$$"3?A<JrUIL:F[u$"3i%o\!\,H<XF[uFd\cl7'7$$"3O;!HeJW$z:F[u$"3XG)=Fz$z/VF[u7$$"3*zXg***>=J;F[u$"3*>!QLGYdUXF[u7$$"363VLo=SF;F[u$"3ewUHBz@lWF[u7$$"3"o,@fv:Dh"F[u$"3*))\&G6#pp^%F[uFi]cl7'7$$"3SwgGde)zl"F[u$"3]6S"47oeI%F[u7$$"3E.bM&>N/r"F[u$"3%*='Q,I+:a%F[u7$$"3)4:^"z`X1<F[u$"3aA7gvMIkWF[u7$$"3#[Ga>y.<p"F[u$"3B;s4)Rlm^%F[uF^_cl7'7$$"3V[&zLIbmt"F[u$"3<o`QkS'oI%F[u7$$"3_OT4'[g'*y"F[u$"3EismcV]SXF[u7$$"3aNvhvz\&y"F[u$"37G'z"H8YjWF[u7$$"31.#*=z5(3x"F[u$"3VDI#*p"yj^%F[uFc`cl7'7$$"3e&y`_G\`"=F[u$"3mY8^-))y2VF[u7$$"3o/?1T7')o=F[u$"3y$GT&='z&RXF[u7$$"39p:P=6`k=F[u$"3q=A<]SoiWF[u7$$"3?'Q%=2+-]=F[u$"3JCuQ>o5;XF[uFhacl7'7$$"3A#)RO;\1%*=F[u$"3I1^%3$)['3VF[u7$$"3O8RzY./[>F[u$"38Cv?!f>(QXF[u7$$"3NqwRPgbV>F[u$"39f*[R2l>Y%F[u7$$"3U'*QA4E:H>F[u$"34u"G`a]e^%F[uF]ccl7'7$$"3ImD%er*zs>F[u$"3Q_zD1+X4VF[u7$$"3eMu:%G+s-#F[u$"31yYz9%=z`%F[u7$$"3^u1lsPdA?F[u$"3!=U0Ig)HhWF[u7$$"3"4q$fe1F3?F[u$"3_Jkq.&3c^%F[uFbdcl7'7$$"3/tC(G!*3<'[F,$"3i]$*R>fI"f%F[u7$$"3TEv7(4"HQ^F,$"33aFW<))e')[F[u7$$"3m,s2^#R3<&F,$"3>?S\L@&)3[F[u7$$"3?#>[*R$zf)\F,$"37\r)eDkk$[F[uFgecl7'7$$"395%>]&pdNcF,$"3g"yubI*y$f%F[u7$$"3'Hk,MTqL%fF,$"35BtEJa5%)[F[u7$$"3q]y!HU1w'fF,$"3Is&3G7')e![F[u7$$"3c%fco#f&ey&F,$"3ElqtpThO[F[uF\gcl7'7$$"3Au$QP"Q?6kF,$"3]e")HOmD'f%F[u7$$"3)>t.J#4pYnF,$"3?YRa+"Q;)[F[u7$$"3m;A;DkQjnF,$"3BzK)G![5.[F[u7$$"3)Q%*o8CDZe'F,$"3G(e,$*f(fO[F[uFahcl7'7$$"3#\fBu\S%)=(F,$"3gs7)HZa')f%F[u7$$"3Qk&Ryg,%[vF,$"35K3'QES#z[F[u7$$"37yTR$=(HevF,$"3ls&)Q*fB0![F[u7$$"3G3wG*HQEQ(F,$"3zn<"prfk$[F[uFficl7'7$$"3yF=[l07nzF,$"3N`0(HdZ4g%F[u7$$"3i%Q-#3*o'[$)F,$"3O^:(Q;Zp([F[u7$$"33hotI^X_$)F,$"3?c@9ye9)z%F[u7$$"3U")R)oSn'z")F,$"3peP-@rBO[F[uF[[dl7'7$$"3UlWPQj2Z()F,$"3:)pU><:Jg%F[u7$$"33+3t.0mZ"*F,$"3c1%**[czZ([F[u7$$"3_%[E(Q$of9*F,$"3QAVCsm'fz%F[u7$$"3uG*epj%*e(*)F,$"3G'R_ZKef$[F[uF`\dl7'7$$"3"\1]f")["G&*F,$"3H!)o&))GZ^g%F[u7$$"3o`id%RNb%**F,$"3SC_)zWZF([F[u7$$"3@2T*p?L*Q**F,$"3_CLInd(Rz%F[u7$$"3cCR,#*QSr(*F,$"3Rshtg[kN[F[uFe]dl7'7$$"3\ug7"H>5."F[u$"3Knb*>`Tqg%F[u7$$"3oi'on'QCu5F[u$"3QPl%[?`3([F[u7$$"3yG:`\L9t5F[u$"3+$**y[.g@z%F[u7$$"3!\l=PfFm0"F[u$"3.x@cpDJN[F[uFj^dl7'7$$"3w.aB`zI46F[u$"3N,;1j0!)3YF[u7$$"3sQ9]T*\Q:"F[u$"3O.0ytT4p[F[u7$$"3%\e%3tSN_6F[u$"31/(R"y]]!z%F[u7$$"3=l:Bj&eg8"F[u$"3TH'e(HG(\$[F[uF_`dl7'7$$"3EPpFs&pw="F[u$"3F]W%*)>I/h%F[u7$$"3`5?IfIQL7F[u$"3Uaw*y`ku'[F[u7$$"3T))QoJ:`J7F[u$"3%\.j@K'**)y%F[u7$$"3u!\!Rm+W:7F[u$"3&o1V+iLY$[F[uFdadl7'7$$"3K$3')=P%4m7F[u$"3`X7d`!Q>h%F[u7$$"3zp\`'*H&GJ"F[u$"3=f3F$ocf'[F[u7$$"3-(4R<z!o58F[u$"3%=Oy)*o>wy%F[u7$$"3/k[$H7yZH"F[u$"33nh[$Q+V$[F[uFibdl7'7$$"3&3(og[RdW8F[u$"3k*G7HgKLh%F[u7$$"3a(Gcm:oAR"F[u$"31:)HR8iX'[F[u7$$"3;v/F(31)*Q"F[u$"3Euz1')>O'y%F[u7$$"3Y7+:G!ySP"F[u$"3[U1x.n(R$[F[uF^ddl7'7$$"3a4+"y5,JU"F[u$"3p9w!\cAYh%F[u7$$"3=a_HMdjr9F[u$"3-!\M><sK'[F[u7$$"3Ie0w^4"*o9F[u$"3[lB8&36_y%F[u7$$"3gW-32WM`9F[u$"3ZoMd?[mL[F[uFcedl7'7$$"3">&4[,(p;]"F[u$"38xK>0l"eh%F[u7$$"37<kYx='4b"F[u$"3eF)[;By?'[F[u7$$"3K1&4[L)*za"F[u$"3+Oop#*f:%y%F[u7$$"3p9x"=G"eK:F[u$"3xec0:gOL[F[uFhfdl7'7$$"33u[)zZu-e"F[u$"3)=y<+gAph%F[u7$$"3E+Y!y$=DI;F[u$"3#GKCo8s4'[F[u7$$"3.8*e@qqqi"F[u$"3;P-0Io=$y%F[u7$$"3:38%=9#z6;F[u$"3)QEqU*33L[F[uF]hdl7'7$$"3K^-<[4"*e;F[u$"3V$Q%y0&[zh%F[u7$$"3MG8Y/,^4<F[u$"3G@x0Ji%*f[F[u7$$"3B&fw(>,81<F[u$"3uo&RWx%H#y%F[u7$$"3_&*pw6+)4p"F[u$"3.%\.))f4G$[F[uFbidl7'7$$"3V8U()o_dP<F[u$"3"f_"3*H,*=YF[u7$$"3_r%*f?0u)y"F[u$"3!)y0wPM**e[F[u7$$"3kJ>mB$y^y"F[u$"3_r9xw>Z"y%F[u7$$"3yhWk8v9q<F[u$"3V(=xI&>bK[F[uFgjdl7'7$$"3!3RGJ9ki"=F[u$"3q(pp>Y(y>YF[u7$$"3[*R(=$QYz'=F[u$"3+2C([F2"e[F[u7$$"3;))*[tx;U'=F[u$"33glKq9r!y%F[u7$$"39<!=E#pH\=F[u$"36/)=Ld2B$[F[uF\\el7'7$$"3mfG_NZ(\*=F[u$"3H_WC&*Gh?YF[u7$$"3#f.Nw_Ir%>F[u$"3U_wfT=Gd[F[u7$$"3nhP1>nCV>F[u$"3_lWuyq+!y%F[u7$$"3q([Wd@I%G>F[u$"3&\XOX%f2K[F[uFa]el7'7$$"3Sts(3g/P(>F[u$"3]0'[![HQ@YF[u7$$"3\FF7*R&HE?F[u$"3?*\$z)y6l&[F[u7$$"3q"*GJ+#pA-#F[u$"3S6T-GLNzZF[u7$$"3oI'*G9"\v+#F[u$"3rb"R\Zc=$[F[uFf^el7'7$$"3]l6%pYg(o[F,$"3_^S_(>Yb!\F[u7$$"3^M)eI`R78&F,$"3XFv5b[(G?&F[u7$$"39!H`4Z"[n^F,$"3J]?PK#*RD^F[u7$$"3))>YbD3M")\F,$"33(zsCR.;:&F[uF[`el7'7$$"3*QrH-d"=VcF,$"3qil`2R!y!\F[u7$$"3?R8>)zld$fF,$"3F;]4Xrh+_F[u7$$"3+c])GNwS'fF,$"3tMM9!R;E7&F[u7$$"3i4pTcDw!y&F,$"3Y.;!*[g#=:&F[uF`ael7'7$$"39!e8=+L#>kF,$"31\(R#4"e+"\F[u7$$"31E&G]th'QnF,$"3!*H=RVHO)>&F[u7$$"3'*\btb!\(fnF,$"3d$z*=)H)**>^F[u7$$"3)**3!\:xDzlF,$"3Y&3*QLz)=:&F[uFebel7'7$$"3;300vzy'>(F,$"3'G&G<:$fA"\F[u7$$"39^E@IT0SvF,$"35E(euthh>&F[u7$$"3!*p*=sW-Yb(F,$"3bt'RxNgv6&F[u7$$"3#*>9*y?noP(F,$"3'o-IAwH=:&F[uFjcel7'7$$"3e$\'pF3qvzF,$"3%\&e*H'RP9\F[u7$$"3#)=x)fk)3S$)F,$"3-Cdj*3ZS>&F[u7$$"3')G"fu7S([$)F,$"3>+iEcqI:^F[u7$$"3Y99y5Elt")F,$"3KtAz1^o^^F[uF_eel7'7$$"3k&o`g-Aev)F,$"3Fh#=&=9Q;\F[u7$$"3&)z:0;["*Q"*F,$"3q<L6M'R?>&F[u7$$"3wPA1)zfA9*F,$"34)yXY;NK6&F[u7$$"3i0&o**y&op*)F,$"3kWs%[f![^^F[uFdfel7'7$$"3`gDD2x+P&*F,$"3W)3DR(3F=\F[u7$$"32ePF.lnO**F,$"3_!\1(y,:!>&F[u7$$"3^'G4Oz\_$**F,$"3RYCY[kL6^F[u7$$"3!336xaT]w*F,$"3wh&)f;nB^^F[uFigel7'7$$"3EC)oB]7>."F[u$"3VrLP!fQ+#\F[u7$$"3#H"f_b1Nt5F[u$"3a2#eAY#Q)=&F[u7$$"3o!GoxxyF2"F[u$"3QCM(\w*f4^F[u7$$"3mqNi'Gzf0"F[u$"3)y">aa)o4:&F[uF^iel7'7$$"3XJG#oX0-6"F[u$"3BKMXdco@\F[u7$$"3/6S"zV_H:"F[u$"3uY"y^RNn=&F[u7$$"3mMz/xS*>:"F[u$"3'yz#evD,3^F[u7$$"38g++83SN6F[u$"3C#\0<J)o]^F[uFcjel7'7$$"3KMJQ$4p&)="F[u$"3[v-Y!G;K#\F[u7$$"3Z8e>QN[K7F[u$"3[.8<sZ?&=&F[u7$$"3HKbP!fw6B"F[u$"3Y6a!G(>c1^F[u7$$"3*)fcht\x97F[u$"3!ftwoA./:&F[uFh[fl7'7$$"3M#)f2=U*pE"F[u$"3s0QpHljC\F[u7$$"3wq]M]J&>J"F[u$"3Ctx$H_%y$=&F[u7$$"3Q'G!f]6L58F[u$"32hy?O`B0^F[u7$$"3kFQOht5%H"F[u$"3qnJ#pL>,:&F[uF]]fl7'7$$"3%G4%[tGZX8F[u$"3&)GO,hM&f#\F[u7$$"3cl!z<Bp8R"F[u$"37]zh"fnC=&F[u7$$"3s%G>x#=Y*Q"F[u$"3TaC0@2-/^F[u7$$"3)o_E(HHSt8F[u$"3eNpT&eS)\^F[uFb^fl7'7$$"3"R#G&[?)*RU"F[u$"3D!3,(=X<F\F[u7$$"3#)RCDP'Q2Z"F[u$"3s)\IR`Y7=&F[u7$$"3y;qFU?do9F[u$"3:yh>jq!H5&F[u7$$"3k%*oIJgm_9F[u$"3MG^([fp&\^F[uFg_fl7'7$$"3#3X$=AVc-:F[u$"3)[#3xWrIG\F[u7$$"3A=Rwcs1]:F[u$"35a2'y!R6!=&F[u7$$"3gCb"zmkwa"F[u$"3=&=HHE%)=5&F[u7$$"3I9=cr/!>`"F[u$"3w=?&f-3$\^F[uF\afl7'7$$"35(yJ"ph;"e"F[u$"3DA**yM&e$H\F[u7$$"3D(odm9g$H;F[u$"3sc;%y^i!z^F[u7$$"3%e+W57Uni"F[u$"3([SRD>V45&F[u7$$"3oXz%yc46h"F[u$"3mG%pn%o0\^F[uFabfl7'7$$"3;Mm&RS*zf;F[u$"3[Gb1&\N.$\F[u7$$"3[X\n[;i3<F[u$"3[]gcdb3y^F[u7$$"3(3?qsV1eq"F[u$"3"y;K%ec2+^F[u7$$"3#4x")z?'H!p"F[u$"3U:EuKl")[^F[uFfcfl7'7$$"3+hdV%Hg%Q<F[u$"3cr!=$oVCJ\F[u7$$"3'R#z.&\byy"F[u$"3S2NJ%owr<&F[u7$$"3ay[jN$f[y"F[u$"3O(pj$QVF*4&F[u7$$"3k=x;0HYp<F[u$"3;B:j8se[^F[uF[efl7'7$$"3#yL#zEc9<=F[u$"3G$pkW+"4K\F[u7$$"3W_M_**[1n=F[u$"3o&)o;[+Lw^F[u7$$"3Ev%y?F-R'=F[u$"3OUZ32F`)4&F[u7$$"37Nm!y%=h[=F[u$"3orz-"yo$[^F[uF`ffl7'7$$"3![%=qFE&e*=F[u$"3IYz@g2)G$\F[u7$$"3w]gXNEDY>F[u$"3mKOT#HSb<&F[u7$$"3?5to$[OH%>F[u$"3U8]qe\%y4&F[u7$$"3v`<pV\uF>F[u$"3='HYk'4;[^F[uFegfl7'7$$"3EZd,)*)yX(>F[u$"3In@L;&=O$\F[u7$$"3j`U)>5@a-#F[u$"3m6%*HOD![<&F[u7$$"3+A<>DI'>-#F[u$"3)R%)[2$f?(4&F[u7$$"3jEimeQ'o+#F[u$"3?O2r(Rjz9&F[uFjhfl7'7$$"3Sxe1'y(>v[F,$"3o;cQsz#*>_F[u7$$"3;BT$R@-[7&F,$"3cOa.'R>!>bF[u7$$"3]0:"oP$Qk^F,$"3Y8tF#y/=W&F[u7$$"3'4DTL;Rr(\F,$"3cghKCOsmaF[uF_jfl7'7$$"3];vJYh:]cF,$"3Wvon,i)>A&F[u7$$"3fON5A7zGfF,$"3!y<Wn;hp^&F[u7$$"3Wx%fW_)zgfF,$"3$yMP#z')=RaF[u7$$"3YZ&RFRJhx&F,$"3[_mjZd+naF[uFd[gl7'7$$"3slG'>tImU'F,$"3OANx$4]SA&F[u7$$"3[S#z[+k7t'F,$"3)3`ZYF(*[^&F[u7$$"3ayhSY/NcnF,$"3=$z$HN2sOaF[u7$$"3K80w'[nUd'F,$"3yyKP!HLrY&F[uFi\gl7'7$$"3j$Hcw%G^/sF,$"3HwFyPR2E_F[u7$$"3nlogd#HB`(F,$"3&pFQ1VtG^&F[u7$$"35N\`)QH6b(F,$"3`rN_;gTMaF[u7$$"3O"\"Gd/ertF,$"3%QI]9-VrY&F[uF^^gl7'7$$"3kG&="4Un$)zF,$"3'o_=p,E!G_F[u7$$"3u$olXE:@L)F,$"3QED]^8#4^&F[u7$$"3]Ou[UzAX$)F,$"3\GV*))pzAV&F[u7$$"3e"euP=B"o")F,$"3w-)H4tlqY&F[uFc_gl7'7$$"3!pB`xz!)Rw)F,$"3`Q/'R<'))H_F[u7$$"3fG?NWgvI"*F,$"3r91Y%>h!4bF[u7$$"3a!Q+WrM(Q"*F,$"35g2xJ)4.V&F[u7$$"33[nyL!fR'*)F,$"3[sGAFi#pY&F[uFh`gl7'7$$"3==*>i&>IX&*F,$"3Fo!HA>V;B&F[u7$$"3V+kIaAQG**F,$"3)\)>>wTI2bF[u7$$"3POWX23tJ**F,$"3`4)44t*\GaF[u7$$"3#*fACm]:f(*F,$"3o4@+9RumaF[uF]bgl7'7$$"3mQ>"=d^F."F[u$"3!Rw')oS#HL_F[u7$$"3])z#3'e6D2"F[u$"3N*GM:'\l0bF[u7$$"3!)eRaH)GC2"F[u$"3`))H!\')RoU&F[u7$$"31S\T^xPb5F[u$"3U(R$[7O`maF[uFbcgl7'7$$"3C:fVW6066F[u$"3k!zdMsL[B&F[u7$$"3CF4I]n5_6F[u$"3hiK'\k8T]&F[u7$$"3+'=Yo*pk^6F[u$"3&)Ru%=C>`U&F[u7$$"3]PA$\!*)yM6F[u$"3owEq@kImaF[uFgdgl7'7$$"3+ME_o!>%*="F[u$"3D*)3!\2qiB&F[u7$$"3y8j0jNjJ7F[u$"3*R;?NHxE]&F[u7$$"3&z%)45)H$3B"F[u$"3]2)H-PERU&F[u7$$"3\OdwKZ:97F[u$"3[(fss]qgY&F[uF\fgl7'7$$"3%*=EP'pYyE"F[u$"3e(G(zuigP_F[u7$$"3<M%[?n+6J"F[u$"3nlPi$4T8]&F[u7$$"3)oi>QQ"**48F[u$"3lLS_())\EU&F[u7$$"3IwASR/[$H"F[u$"3g*QSKxJeY&F[uFaggl7'7$$"3g[QY'\EjM"F[u$"3?4KI'>[)Q_F[u7$$"3y4$*z3c^!R"F[u$"30Wy6s"*4+bF[u7$$"3orx'y5E"*Q"F[u$"3RccvW*y9U&F[u7$$"33^U!GmqFP"F[u$"37e0d3WflaF[uFfhgl7'7$$"3#ffTX%>&[U"F[u$"3TVNm.A+S_F[u7$$"3!ymjv*[))p9F[u$"3#)4vvk^%*)\&F[u7$$"3w([%*QXS#o9F[u$"3F!p(4?MS?aF[u7$$"3+v0d+&H?X"F[u$"3se!)>=8OlaF[uF[jgl7'7$$"3_5RJ1uT.:F[u$"3:-ZnrZ2T_F[u7$$"3]eMjsT@\:F[u$"35^ju'fsy\&F[u7$$"3A&Q@6@Pta"F[u$"3K]8_<ST>aF[u7$$"3jxNi_0EJ:F[u$"31Kq*eXM^Y&F[uF`[hl7'7$$"3!RA.H-=?e"F[u$"3V]AxSA2U_F[u7$$"3V]i)GH3&G;F[u$"3#G!)[w7vo\&F[u7$$"3KT:`P(=ki"F[u$"3*\w+8H-&=aF[u7$$"3b5R#3(pY5;F[u$"3W'[+v2:\Y&F[uFe\hl7'7$$"3%)o@([g\1m"F[u$"3UXQbn1+V_F[u7$$"3"3TfxWrxq"F[u$"3#y?n3qYf\&F[u7$$"3LEMJHq[0<F[u$"3hBq'\igwT&F[u7$$"3'*\')p4:l*o"F[u$"3m`%\9$RqkaF[uFj]hl7'7$$"37'=ft`3$R<F[u$"3f;:&4ulQC&F[u7$$"3%))\9@D2qy"F[u$"3mO&pui"3&\&F[u7$$"31"z&*)zPa%y"F[u$"3aM68%=#)oT&F[u7$$"3EA-)\d;)o<F[u$"3y@&G5S,XY&F[uF__hl7'7$$"3.`o$pp"*z"=F[u$"3*y)3aUFnW_F[u7$$"3CP*y$H)=i'=F[u$"3Ol,)eiuU\&F[u7$$"3m^FdH/fj=F[u$"3*[4&)f&3;;aF[u7$$"3+i=EoU'z%=F[u$"3;4J()4wIkaF[uFd`hl7'7$$"3+?.vzjp'*=F[u$"3Mg&ed`EaC&F[u7$$"3cvvS$))3a%>F[u$"3#H\iE$3_$\&F[u7$$"3>AM#p?GE%>F[u$"3T,Pn$="\:aF[u7$$"3*f;nqU'4F>F[u$"35i[#)*\ATY&F[uFiahl7'7$$"3#H8r*R-Uv>F[u$"3qqmUt:8Y_F[u7$$"3(z')G+wzX-#F[u$"3a#Q%*\z:G\&F[u7$$"3IYnBj"e;-#F[u$"3@BYe+$o[T&F[u7$$"3'\1<-m9i+#F[u$"3YG*3"))e%RY&F[uF^chl7'7$$"3?nl3Yu3")[F,$"3OU,MlxUMbF[u7$$"3"GV8Rb7*=^F,$"3:&Qq)=f/NeF[u7$$"3OVl(R">_h^F,$"3EP!*yU()3edF[u7$$"3/-CL,>Kt\F,$"3S_P0;;$=y&F[uFcdhl7'7$$"3w\AD(Gjll&F,$"3\!3crT4j`&F[u7$$"3L.)o63%QAfF,$"3,ZW0nU;LeF[u7$$"3UdKo,UvdfF,$"3)[Hz(=WibdF[u7$$"3939Y!=5>x&F,$"3o(H0Z>i@y&F[uFhehl7'7$$"35t7K**QXLkF,$"3hsZmnL?QbF[u7$$"35L3_P3WCnF,$"3*[vXlJq7$eF[u7$$"3wXDuKm<`nF,$"3+i@'GO%H`dF[u7$$"3'\)R(>+/(plF,$"3]%3f)eXM#y&F[uF]ghl7'7$$"3&*4JD8am6sF,$"3$pRM#Ru1SbF[u7$$"3N\+,#pw^_(F,$"3eIh(\C1%HeF[u7$$"3SXjtM)oya(F,$"3uJ*fz686v&F[u7$$"3wEbR$=InO(F,$"3%H$e&R*>T#y&F[uFbhhl7'7$$"3KQ(G08%3"*zF,$"3d\KB2=(=a&F[u7$$"31ua:V`qC$)F,$"3%zFxp(=gFeF[u7$$"3ndZzWR">M)F,$"3Q.yNVi3\dF[u7$$"3YH"G)=X.j")F,$"3?R]3hFR#y&F[uFgihl7'7$$"330Br=$*er()F,$"3Amj_1qfVbF[u7$$"3VgHRBv9B"*F,$"3HhToxm(e#eF[u7$$"3QnZp-ERN"*F,$"3)Ha=Cs7su&F[u7$$"31/+,wKne*)F,$"3-&\_)\*4By&F[uF\[il7'7$$"3O?2uM=1`&*F,$"37b$=eqJ_a&F[u7$$"3D)f&yvBi?**F,$"3Rs@Ry>CCeF[u7$$"3OiD#\Xz$G**F,$"37zNR&3([XdF[u7$$"3'f#=m8pq`(*F,$"3u#*ySz==#y&F[uFa\il7'7$$"3"Gjsg$*QN."F[u$"3=iHWH1xYbF[u7$$"3O/@#=AC<2"F[u$"3MlvwaIqAeF[u7$$"37')*3([T4s5F[u$"3VZ&\/6,Ru&F[u7$$"3Q<.="e>[0"F[u$"3M.h0aF-#y&F[uFf]il7'7$$"3:!>*y:p%=6"F[u$"3G?>=,G@[bF[u7$$"3M_w%*y4J^6F[u$"3B2'GI)3E@eF[u7$$"3kQL>cPJ^6F[u$"3W8_L%4XCu&F[u7$$"39vg3h(>U8"F[u$"3qy]0%QV=y&F[uF[_il7'7$$"3sC&QV"4A!>"F[u$"3uy`Da,c\bF[u7$$"31B/C<<$3B"F[u$"3x[^&*HN"*>eF[u7$$"3Y(4)*y'=]I7F[u$"3GJ7+[(36u&F[u7$$"3D&=#4tld87F[u$"3)piJi'=l"y&F[uF``il7'7$$"3[3Ph"z_'o7F[u$"3YCS3#[;3b&F[u7$$"3iWt!od%H58F[u$"31.l7-sl=eF[u7$$"3j&*enhGm48F[u$"3hqh3%z"))RdF[u7$$"3'=[?+([*GH"F[u$"3+%[/j<a9y&F[uFeail7'7$$"3')f+)yTNrM"F[u$"39scOvm)>b&F[u7$$"3a)4$Q(o1(*Q"F[u$"3Pb[%)3q[<eF[u7$$"39Do"QZ+))Q"F[u$"3,-ZxTVvQdF[u7$$"3Uz)=0+z@P"F[u$"3i,>;fYD"y&F[uFjbil7'7$$"3flxZ&eicU"F[u$"3'o!*\]=wIb&F[u7$$"39)\FmDu!p9F[u$"3m?1;*\(R;eF[u7$$"3EY?t#)y"zY"F[u$"3CMR8.rrPdF[u7$$"3sZZ]DGV^9F[u$"3/<%)\@k0"y&F[uF_dil7'7$$"3;aP"*3*GU]"F[u$"3w:P0c14abF[u7$$"3)[hL+n-%[:F[u$"3u6o:GIQ:eF[u7$$"3e>9`)y<qa"F[u$"3_'Q]5]hnt&F[u7$$"3"yb!)=vf1`"F[u$"3#y/N#R;'3y&F[uFdeil7'7$$"3k9McC(HGe"F[u$"3]HK+'oN]b&F[u7$$"3qfgA"f'pF;F[u$"3,)H2#)*zV9eF[u7$$"3_p^*\[-hi"F[u$"3,T#*)eqzet&F[u7$$"3"*>zHuF')4;F[u$"3Q#ySWzr1y&F[uFifil7'7$$"3u)*f9'*4Yh;F[u$"3=@ICtm"fb&F[u7$$"3"4e&[c+'pq"F[u$"3K1v'4,dN"eF[u7$$"3R5MoAR<0<F[u$"3=!3/tik]t&F[u7$$"3'>bO#>X/*o"F[u$"3AHk(e&y[!y&F[uF^hil7'7$$"3nsZ%*G#>,u"F[u$"3mPX>F(Qnb&F[u7$$"3I7*G0c'>'y"F[u$"3')*)f,d\t7eF[u7$$"3#)zT=jPB%y"F[u$"3(fjD%z)4Vt&F[u7$$"3w7%G!)G2#o<F[u$"3UNrX:/J!y&F[uFciil7'7$$"3:Ad"QR,)==F[u$"3mO_M@m]dbF[u7$$"37o+]K"4a'=F[u$"3'3HlG1n>"eF[u7$$"3!QiU^U$Gj=F[u$"317<lJ(4Ot&F[u7$$"3E<2+(4`t%=F[u$"3Y$er2zR,y&F[uFhjil7'7$$"3?&fE4'[](*=F[u$"3S.*>ZxC#ebF[u7$$"3P+8B-/gW>F[u$"37C1\4*[7"eF[u7$$"3r#4!*H7CB%>F[u$"3y'=-I0fHt&F[u7$$"3*43&)Qr$[E>F[u$"3W]!Q<5w*zdF[uF]\jl7'7$$"3UheeUtAw>F[u$"3s;=&=D(*)ebF[u7$$"3DRTTdExB?F[u$"3!3reBVw0"eF[u7$$"3b+7O**oN@?F[u$"3.2'f]D`Bt&F[u7$$"35p4B!p+c+#F[u$"3U/lpF$>)zdF[uFb]jl7'7$$"3gn(\$o))[')[F,$"3E"f'pPk-\eF[u7$$"3TK-lJ6^8^F,$"3_5MIiN(4:'F[u7$$"3105&HPv)e^F,$"3?OI`(*yEugF[u7$$"3SQ!GnOV)p\F,$"3I*>>oGKp4'F[uFg^jl7'7$$"3#oY#3y,YicF,$"3_:b&QZ^2&eF[u7$$"3G'eQ.>([;fF,$"3E'[Wh_[#\hF[u7$$"333HZ%yC\&fF,$"3Y8,*o$=%>2'F[u7$$"3![jtKn_!odF,$"3u[.G+AI(4'F[uF\`jl7'7$$"3^!)RwhevRkF,$"3yo&RFa$\_eF[u7$$"3oD"y]()Q"=nF,$"3+L/Edk]ZhF[u7$$"3cQEcHE@]nF,$"3czUdN$Q(pgF[u7$$"3]cv$)R<_llF,$"333otR-`(4'F[uFaajl7'7$$"34;r(RF%H=sF,$"3#=4>$GP@aeF[u7$$"3?VgGJya=vF,$"3'*44oriyXhF[u7$$"3**R%eKc4[a(F,$"37'*ea28nngF[u7$$"3#yb5_\sAO(F,$"3'oB<5iYw4'F[uFfbjl7'7$$"3Y&R>H,uz*zF,$"3M^@zqS)e&eF[u7$$"3$p"[wga"yJ)F,$"3W]y?Hf6WhF[u7$$"3sXR9$e!zQ$)F,$"3)zcxB[Yd1'F[u7$$"3mAq()G\Me")F,$"35OTD?tn(4'F[uF[djl7'7$$"3+bpwadoy()F,$"3#HZ,5#f[deF[u7$$"3\5$Qt3^g6*F,$"3')G&)**yS^UhF[u7$$"3&3g?'\$HA8*F,$"3'=%Gu>N'R1'F[u7$$"3KIX(3N*y`*)F,$"3')[XWDQk(4'F[uF`ejl7'7$$"3Izs31/Kg&*F,$"3]ndPO!3!feF[u7$$"3JR!RW!QO8**F,$"3FMUij>*49'F[u7$$"3RllhbZ>D**F,$"31Ce(G!zJigF[u7$$"3W1gXx0m[(*F,$"3Y2Y9-Mc(4'F[uFefjl7'7$$"3FO&)z>uFM5F[u$"3Ih@9kZWgeF[u7$$"3!4?'4Qd)42"F[u$"3ZSy&eBb&RhF[u7$$"3'G%ec<\xr5F[u$"3IZABxC!31'F[u7$$"3kn&Q0R,V0"F[u$"3%fT**\h\u4'F[uFjgjl7'7$$"3P2S@\^f76F[u$"3a`&=-[%zheF[u7$$"35NG_XFc]6F[u$"3C[9y>b?QhF[u7$$"3cP0A&y%*4:"F[u$"3?UOv:'3%fgF[u7$$"3B%4jVD!pL6F[u$"3i)GNF$HJ(4'F[uF_ijl7'7$$"3)H`'o+m(4>"F[u$"3W,9aN$eI'eF[u7$$"3![T#*3.w+B"F[u$"3M+'eWmTp8'F[u7$$"38HT`)*Q=I7F[u$"3wG`3_q7egF[u7$$"3J0[L8w.87F[u$"3Y+Ud;8;(4'F[uFdjjl7'7$$"3]??"G59%p7F[u$"3ok4!oHRU'eF[u7$$"3gK!4cEL&48F[u$"35P!*>.2wNhF[u7$$"3f4wO@kM48F[u$"3y#>LbW[p0'F[u7$$"3cn+x-![BH"F[u$"3=w)eIu+q4'F[uFi[[m7'7$$"33^aw,4!zM"F[u$"3uMZ[R9MleF[u7$$"3K2x\.7%*)Q"F[u$"3/n_^g&eY8'F[u7$$"3_r2"z#f[)Q"F[u$"3!*\*yFuje0'F[u7$$"3!p3Xr]D;P"F[u$"37>$3SkNo4'F[uF^][m7'7$$"3fd&*)**3JkU"F[u$"3GSz<V%pj'eF[u7$$"391d6_dIo9F[u$"3\h?#obIO8'F[u7$$"3S+7ruagn9F[u$"3'p(e%GRk[0'F[u7$$"3[W@$*oP(3X"F[u$"31#[oQEpm4'F[uFc^[m7'7$$"3^$*3&4_**\]"F[u$"37$[y=CGt'eF[u7$$"3_vk*z0Kwa"F[u$"3m=:7e<nKhF[u7$$"3=0$)*3n2na"F[u$"3oUREgC%R0'F[u7$$"3C=+/:g4I:F[u$"3k:63VR]'4'F[uFh_[m7'7$$"39uv2@<g$e"F[u$"3-f@I*yA#oeF[u7$$"3@+>r%fCpi"F[u$"3wUyp5sxJhF[u7$$"3d5k!Gu%zD;F[u$"3G#GB-n!4`gF[u7$$"3?b70#4&H4;F[u$"3s<#o!R8M'4'F[uF]a[m7'7$$"3%e4B_!QBi;F[u$"3En*Qt!z0peF[u7$$"3#Q[3uC(=1<F[u$"3_M5m#4U48'F[u7$$"3'>*HR"fo[q"F[u$"3o_A55CI_gF[u7$$"3Y<em/NZ)o"F[u$"3_l1b'f#='4'F[uFbb[m7'7$$"3;TT#*)R#*3u"F[u$"3=H.N$>Q)peF[u7$$"3!Qa\0RBay"F[u$"3fs'\m!=;IhF[u7$$"3)z5@@%3$Ry"F[u$"397hT/<d^gF[u7$$"3KCj(RXLww"F[u$"3uQ@sx%Gg4'F[uFgc[m7'7$$"3'pV<)oXd>=F[u$"3I+>FozcqeF[u7$$"3K`$)\dfjk=F[u$"3Z,"G<.K%HhF[u7$$"3%y9hw)G)H'=F[u$"3k#*[xuJ*30'F[u7$$"3w>=ntoxY=F[u$"3;T89h%ze4'F[uF\e[m7'7$$"3EF$e9wx#)*=F[u$"33&fDCD^7(eF[u7$$"3Io&*p,v#Q%>F[u$"3p1WdZ([(GhF[u7$$"3s&>%4Cf-U>F[u$"3G@#=D*>E]gF[u7$$"3E#f7KY0f#>F[u$"3[Ed_;et&4'F[uFaf[m7'7$$"3uwF;](**p(>F[u$"3w"o"pf<*=(eF[u7$$"3$RAP)\-+B?F[u$"3-?$3.C3"GhF[u7$$"3D"z;9)41@?F[u$"3_i-&*GQn\gF[u7$$"3:K_g<2-0?F[u$"3-__7hwf&4'F[uFfg[m-%&COLORG6&%$RGBG$""!!""Fih[m$"#5F[i[m-F&6%7S7$$"+++++]!#5$"+m].;m!#67$$"+7t&pK&Fdi[m$"+]-B+RFdi[m7$$"+A6W6cFdi[m$"+\d;$R&Fdi[m7$$"+>HPJfFdi[m$"+4+6tnFdi[m7$$"+JaU`iFdi[m$"+PkN1!)Fdi[m7$$"+%GZRd'Fdi[m$"+PJ'[9*Fdi[m7$$"+s?6roFdi[m$"+U#H],"!"*7$$"+(**3)yrFdi[m$"+@%od6"Ff[\m7$$"+(fHq\(Fdi[m$"+,/a<7Ff[\m7$$"+f'HU"yFdi[m$"+#Q.uJ"Ff[\m7$$"+7*309)Fdi[m$"+N19>9Ff[\m7$$"+ce*yU)Fdi[m$"+nfL3:Ff[\m7$$"+)[D9v)Fdi[m$"+v*\'3;Ff[\m7$$"+iNGw!*Fdi[m$"+Uke4<Ff[\m7$$"+7XM*Q*Fdi[m$"+HMJ2=Ff[\m7$$"+ZQjt'*Fdi[m$"+FYi'*=Ff[\m7$$"+O"o6+"Ff[\m$"+&)*=P+#Ff[\m7$$"+&>0)H5Ff[\m$"+RTM&4#Ff[\m7$$"+-p6j5Ff[\m$"+$y@J?#Ff[\m7$$"+3Mg#4"Ff[\m$"+&o;(*H#Ff[\m7$$"+xZ&\7"Ff[\m$"+v162CFf[\m7$$"+K4wb6Ff[\m$"+4.'3^#Ff[\m7$$"+AR!z="Ff[\m$"+5sw?EFf[\m7$$"+@7U<7Ff[\m$"+UjFBFFf[\m7$$"+;'f#\7Ff[\m$"+([Pc$GFf[\m7$$"+g2L#G"Ff[\m$"+Z!>W&HFf[\m7$$"+)G>6J"Ff[\m$"+rqhfIFf[\m7$$"+(o6AM"Ff[\m$"+sf>vJFf[\m7$$"+yJLu8Ff[\m$"+-q#oH$Ff[\m7$$"+*yddS"Ff[\m$"+Db4=MFf[\m7$$"+<F;O9Ff[\m$"+P=lPNFf[\m7$$"+1A#*p9Ff[\m$"+jF0tOFf[\m7$$"+3mD+:Ff[\m$"+(e!=(z$Ff[\m7$$"+c]kK:Ff[\m$"+"QvB$RFf[\m7$$"+0Q*>c"Ff[\m$"+K.LdSFf[\m7$$"+R(zSf"Ff[\m$"+y^o'>%Ff[\m7$$"+-,FC;Ff[\m$"+QO]IVFf[\m7$$"+Jx#el"Ff[\m$"+0&fKZ%Ff[\m7$$"+"3"o'o"Ff[\m$"+4Mv:YFf[\m7$$"+!o")*=<Ff[\m$"+jt6oZFf[\m7$$"+&*44]<Ff[\m$"+k*G!=\Ff[\m7$$"+jZ!>y"Ff[\m$"+"HQY2&Ff[\m7$$"+(4bM"=Ff[\m$"+e*QLB&Ff[\m7$$"+ylWU=Ff[\m$"+o3A#Q&Ff[\m7$$"+'3uc(=Ff[\m$"+ggacbFf[\m7$$"+lJR0>Ff[\m$"+B#))er&Ff[\m7$$"+-*zq$>Ff[\m$"+EMV*)eFf[\m7$$"+`"3u'>Ff[\m$"+Tu:fgFf[\m7$$""#Fjh[m$"+9afXiFf[\m-Ffh[m6&Fhh[mF\i[m$"1k9.e@R!)\!#;Fih[m-%*THICKNESSG6#Ffh\m-%+AXESLABELSG6'Q"x6"Q%y(x)Fei\m-%%FONTG6$%*HELVETICAGF]i[m%+HORIZONTALGF[j\m-%*GRIDSTYLEG6#%,RECTANGULARG-%%VIEWG6$;$"$D%!"$$"%v?Ffj\m;$!2/+++++]*GF[u$"&&*H'!"%-%,ORIENTATIONG6$$"#XFjh[mFb[]mFgi\m-%*LINESTYLEG6#Fjh[m-Ffh[m6#%%NONEG-%+PROJECTIONG6#F\i[m

As a second check we plot a numerical solution together with the analytical solution. de := arctan(x)*y(x)*diff(y(x),x)=y(x)^2+1; ic := y(1)=2; Digits := 16: ff := dsolve({de,ic},y(x),type=numeric,method=dverk78, output=listprocedure,relerr=Float(1,-14)): gn := subs(ff,y(x)): Digits := 10: plot3 := plot('gn'(x),x=1/2..2,y=0..6,color=green,thickness=3): plots[display]([plot2,plot3],labels=[`x`,`y(x)`]);

NiM+JSNkZUcvKigtJSdhcmN0YW5HNiMlInhHIiIiLSUieUdGKUYrLSUlZGlmZkc2JEYsRipGKywmKiQpRiwiIiNGK0YrRitGKw==NiM+JSNpY0cvLSUieUc2IyIiIiIiIw==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

xx := sqrt(2); evalf(g(xx)); evalf(gn(xx));

NiM+JSN4eEcqJCIiIyMiIiJGJg==NiMkIisuPzdeTSEiKg==NiMkIisuPzdeTSEiKg==

Maple 8's dsolve gives the same result. de := arctan(x)*y(x)*diff(y(x),x)=y(x)^2+1; ic := y(1)=2; dsolve({de,ic},y(x));

NiM+JSNkZUcvKigtJSdhcmN0YW5HNiMlInhHIiIiLSUieUdGKUYrLSUlZGlmZkc2JEYsRipGKywmKiQpRiwiIiNGK0YrRitGKw==NiM+JSNpY0cvLSUieUc2IyIiIiIiIw==NiMvLSUieUc2IyUieEcqJCwmIiIiISIiKiYiIiZGKi0lJGV4cEc2IywkKiYiIiNGKi0lJEludEc2JComRipGKi0lJ2FyY3Rhbkc2IyUkX3oxR0YrL0Y7O0YqRidGKkYqRipGKiNGKkYz

;

NiMqJi0lJ2FyY3Rhbkc2IyUieEciIiIlInlHRig= NiQvKiYlI2R5RyIiIiUjZHhHISIiLCYqJCUieUciIiNGJkYmRiYvLUYrNiNGJkYs NiMvKiYlI2R5RyIiIiUjZHhHISIiKiYtJSRzaW5HNiMlInlHRiYsJiIiI0YmLSUlc3FydEc2IywmJSJ4R0YmRiZGJkYoRiY=, NiMvLSUieUc2IyIiISIiIg== de := diff(y(x),x)=sin(y(x))*(2-sqrt(x+1)); ic := y(0)=1; desolveSV({de,ic},y(x),info=true); g := unapply(rhs(%),x): plot(g(x),x=0..10);

NiM+JSNkZUcvLSUlZGlmZkc2JC0lInlHNiMlInhHRiwqJi0lJHNpbkc2I0YpIiIiLCYiIiNGMSokLCZGLEYxRjFGMSNGMUYzISIiRjE=NiM+JSNpY0cvLSUieUc2IyIiISIiIg==NiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYiIiJGKC0lJHNpbkc2IyUieUchIiJGLC1GJTYkLCYiIiNGKCokLCYlInhHRihGKEYoI0YoRjFGLUY0NiMlIUc=NiMvLSUjbG5HNiMsJi0lJGNzY0c2IyUieUciIiItJSRjb3RHRiohIiIsKComIiIjRiwlInhHRixGLCooRjJGLCIiJEYvLCZGM0YsRixGLCNGNUYyRi8mJSJDRzYjRixGLA==NiMlIUc=NiMvKiYtJSRzaW5HNiMlInlHIiIiLCYtJSRjb3NHRidGKUYpRikhIiIqJiYlIkNHNiMiIiNGKS0lJGV4cEc2IywmKiZGMkYpJSJ4R0YpRikqKEYyRikiIiRGLSwmRjhGKUYpRikjRjpGMkYtRik=NiQlRUFwcGx5aW5nfnRoZX5pbml0aWFsfmNvbmRpdGlvbn4ufi5+fkcvJiUiQ0c2IyIiIyooLSUkc2luRzYjIiIiRi0sJi0lJGNvc0dGLEYtRi1GLSEiIi0lJGV4cEc2IyNGKCIiJEYtNiMlIUc=NiMvLSUieUc2IyUieEctJSdhcmN0YW5HNiQsJCoqIiIjIiIiLSUkZXhwRzYjLCojRi0iIiRGLiomRi1GLkYnRi5GLioqRi1GLkY0ISIiLCZGJ0YuRi5GLiNGLkYtRidGLkY3KihGLUYuRjRGN0Y4RjlGN0YuLSUkc2luRzYjRi5GLiwqKiYtJSRjb3NHRj1GLi1GMDYjLCojIiIlRjRGLiomRkZGLkYnRi5GLioqRkZGLkY0RjdGOEY5RidGLkY3KihGRkYuRjRGN0Y4RjlGN0YuRi5GQEY3RkJGN0YuRjdGN0Y3LCQqJiwqRj9GLkZARi5GQkY3Ri5GLkYuRj5GN0Y3LSUlUExPVEc2Ky0lJ0NVUlZFU0c2JDdTNyQkIiIhRiskIiIiRis3JCQiM2VtbW07YXJ6QCEjPSQiMztdQ1onUkJHPSIhIzw3JCQiM1tMTCRlOXVpMiVGMSQiMyE0XzlMIlwjcEwiRjQ3JCQiM25tbW0iel8iNGlGMSQiM3NLVSkpekAqKilcIkY0NyQkIjM5b21tVCZwaE4pRjEkIjNDdFNkL08wWTtGNDckJCIzS0xMZSo9KUhcNUY0JCIzTTBzS3ZOSHU8RjQ3JCQiM3NtbSJ6LzN1QyJGNCQiM0dDcz8pKXlwdz1GNDckJCIzISoqKipcN0xSRFgiRjQkIjNzWUksIm9cbSc+RjQ3JCQiMyVvbTt6UidvaztGNCQiMzszJilbNGZxVj9GNDckJCIzMysrRDFKOnc9RjQkIjN6LyFweFpVZTUjRjQ3JCQiM29MTEwzRW4kNCNGNCQiM2s4bChbW0pnOiNGNDckJCIzI3BtbVQhUkUmRyNGNCQiMytXeV4uSSUpKj0jRjQ3JCQiM0QrKytELiY0XSNGNCQiMyYqKVIsJ2YiR3RAI0Y0NyQkIjM7KysrdkJfPEZGNCQiM1xzOGcheVpYQiNGNDckJCIzMysrK3YnSGkjSEY0JCIzVHIkXFZLUz5DI0Y0NyQkIjMmb207eipldjpKRjQkIjNuPGtSZSFwNkMjRjQ3JCQiM19MTEwzNDdUTEY0JCIzME9DV2diPkpBRjQ3JCQiM25MTExMWS5LTkY0JCIzKW8/IVs8QTI6QUY0NyQkIjMzKytEIm83VHYkRjQkIjNjdmRRWXBKKD0jRjQ3JCQiMz9MTEwkUSpvXVJGNCQiMyVSQi5fREFXOiNGNDckJCIzbSsrRCI9bGo7JUY0JCIzPl1IM3YwJSozQEY0NyQkIjNTKyt2ViZSPFAlRjQkIjNRamFHNUcwYz9GNDckJCIzQ01MJGU5RWdlJUY0JCIzNSplKUdoYFQhKj5GNDckJCIzXUxMZVIiM0d5JUY0JCIzJG92Mih5JmUuIz5GNDckJCIzZW1tOy9UMSYqXEY0JCIzY2tuUytOL009RjQ3JCQiMz1ubSJ6UlFiQCZGNCQiMyJma1hLJVxoSzxGNDckJCIzOisrdj0+WTJhRjQkIjNNSmJvPChwXGoiRjQ3JCQiM1pubTt6WHU5Y0Y0JCIzKSlwN0trYG8/OkY0NyQkIjM0KysrXXkpKUdlRjQkIjNBL2VdJWV3WVIiRjQ3JCQiM0grK11pX1FRZ0Y0JCIzJVxONT4zXGZFIkY0NyQkIjNiKytEInklM1RpRjQkIjM2RVpPPjIpKlE2RjQ3JCQiMysrK11QIVtoWSdGNCQiM2UneUErJGZSKCkqKkYxNyQkIjNpS0xMJFF4JG9tRjQkIjNhRS1IJG8rXHcpRjE3JCQiM1krKyt2LkklKW9GNCQiMyRISTIiM1BPR3ZGMTckJCIzP21tInpwZSp6cUY0JCIzYVwkR0Z6KikpKVsnRjE3JCQiMzssKytEXCdRSChGNCQiM0UpUSQpKTMzT2JhRjE3JCQiMyVITCRlOVM4JlwoRjQkIjMrIVtDJjRHOillJUYxNyQkIjNzKytEMSM9YnEoRjQkIjMxVWp0KGYqPiN6JEYxNyQkIjMiSExMJDNzPzZ6RjQkIjMnKT4+JTNpdyk+SkYxNyQkIjNhKioqXDdgV2w3KUY0JCIzUCo9Vit5QTRfI0YxNyQkIjNlbm1tbSpSUkwpRjQkIjMyTC1hdltRTz9GMTckJCIzJXptbVR2SmdhKUY0JCIzPWpYMiRIWlRpIkYxNyQkIjNdTUxlOXRPYygpRjQkIjNpekVBW0skekciRjE3JCQiMzEsKytdUWtcKilGNCQiM2JfeT1TXydSLiJGMTckJCIzIVtMTDNkZzY8KkY0JCIzaShSXSIqKSoqb3l6ISM+NyQkIjMleW1tbXcoR3AkKkY0JCIzJSoqcD9ePyR5JkcnRmZ5NyQkIjNDKytEIm9LMGUqRjQkIjNNT21MKnAmXFRbRmZ5NyQkIjM1LCt2PTVzI3kqRjQkIjNVRjJKLFdwWVBGZnk3JCQiIzVGKyQiMzIhPWNARl1aI0dGZnktJSZDT0xPUkc2JiUkUkdCRyRGaHohIiIkRitGYFtsRmFbbC0lK0FYRVNMQUJFTFNHNiRRIng2IlEhRmZbbC0lKkdSSURTVFlMRUc2IyUsUkVDVEFOR1VMQVJHLSUlVklFV0c2JDtGYVtsRmd6OyQhMFcqNHJgai07ISM7JCIycyM+eSE9OWlHI0ZjXGwtJSxPUklFTlRBVElPTkc2JCQiI1hGK0ZpXGwtJSVGT05URzYkJSpIRUxWRVRJQ0FHRmh6LSUqTElORVNUWUxFRzYjRistRlxbbDYjJSVOT05FRy0lK1BST0pFQ1RJT05HNiNGX1ts

Plotting the solution along with the gradient field suggests that the solution is correct.p1 := DEtools[DEplot](de,y(x),x=0..10,y=0..3,arrows=medium,color=blue): p2 := plot(g(x),x=0..10,y=0..3,color=red,thickness=2): plots[display]([p1,p2]);

-%%PLOTG6,-%'CURVESG6]dl7'7$$!3!4Uot%*y:j#!#=$""!F.7$$"3!4Uot%*y:j#F,F-7$$"3aQd7P=2#\"F,$!3q:j_5Uot>!#>7$F3$"3q:j_5Uot>F7F/7'F/7$$"3Ej_5Uot%*yF,F-7$$"3#4ei=tH_v'F,F57$F@F9F<7'F<7$$"3S5Uot%*y:8!#<F-7$$"3FU*fEwQ=?"FGF57$FIF9FD7'7$$"3i5Uot%*y:8FGF-7$$"3p%*y:j_5U=FGF-7$$"3MEO8_X:G<FGF57$FTF9FP7'FP7$$"3wy:j_5UoBFGF-7$$"3U5tgT.ZaAFGF57$FfnF9FX7'FX7$$"3#GE0@%ot%*GFGF-7$$"3[%*43Jhy!y#FGF57$F^oF9Fjn7'Fjn7$$"3!p%*y:j_5U$FGF-7$$"3byYb?>52LFGF57$FfoF9Fbo7'Fbo7$$"3)4j_5Uot%RFGF-7$$"3ii$G+r<M$QFGF57$F^pF9Fjo7'7$$"3UJE0@%ot%RFGF-7$$"3%fJE0@%otWFGF-7$$"3-[?]*\L(fVFGF57$FipF9Fep7'7$$"3/:j_5UotWFGF-7$$""&F.F-7$$"35Kd(*)G\g)[FGF57$FdqF9F`q7'7$$"37**************\FGF-7$$"32%ot%*y:j_&FGF-7$$"3<;%\%y]O7aFGF57$F_rF9F[r7'7$$"3=$ot%*y:j_&FGF-7$$"39ot%*y:j_gFGF-7$$"3C+J#z'3oQfFGF57$FjrF9Ffr7'7$$"3Ent%*y:j_gFGF-7$$"3A_5Uot%*ylFGF-7$$"3K%y'Rdm*\Y'FGF57$FesF9Fas7'7$$"3K^5Uot%*ylFGF-7$$"3GOZ*y:j_5(FGF-7$$"3Qo/(oW78*pFGF57$F`tF9F\t7'7$$"3RNZ*y:j_5(FGF-7$$"3N?%ot%*y:j(FGF-7$$"3X_TMO#Gw^(FGF57$F[uF9Fgt7'7$$"3Y>%ot%*y:j(FGF-7$$"3U/@%ot%*y:)FGF-7$$"3_Oy"e-WR/)FGF57$FfuF9Fbu7'Fbu7$$"3Q*y:j_5Uo)FGF-7$$"3[@:H:)f-d)FGF57$F^vF9Fju7'Fju7$$"3Mu%*y:j_5#*FGF-7$$"3U1_w/cd'4*FGF57$FfvF9Fbv7'Fbv7$$"3IfJE0@%ot*FGF-7$$"3S"*)QUR"*Gi*FGF57$F^wF9Fjv7'Fjv7$$"3V%ot%*y:j-"!#;F-7$$"3kd7P=2#\,"FewF57$FgwF9Fbw7'7$$!3bR\Wvp#3L#F,$"3y*p#\U$\C@"F,7$$"3bR\Wvp#3L#F,$"3W0%\VRXa%>F,7$$"3c<7x5V'pi"F,$"3DMcuq]$>h"F,7$$"3D'HdvEMh,"F,$"3IvB1<"f:'>F,F`x7'7$$"3h'>d`$HT?GF,$"31p%Gwb$G&G"F,7$$"3Y'[;T&G!fq(F,$"3+OO@z6hs=F,7$$"3#*f!\:5$)G*oF,$"3_+45Z^Ci:F,7$$"30aZ*oTVMS'F,$"3[Zy+"*olG>F,Fey7'7$$"3fXN&Qt!)Q+)F,$"3y*H9#R:%RN"F,7$$"3<#Q4X3v[I"FG$"3K0yi(>`R!=F,7$$"3%*Q%)RG4S97FG$"3vz*4k=St^"F,7$$"3=!)R'o&***o<"FG$"3c+IvWaq&*=F,Fjz7'7$$"3c"\#=0)H7K"FG$"3mWI1^)[#>9F,7$$"3v8'f;$\mO=FG$"3Vg!zd)ekQ<F,7$$"3WRk0j"y$Q<FG$"3-n2'oA1iZ"F,7$$"3drn\V<w6<FG$"3!*3'=<d#yi=F,F_\l7'7$$"3Q$y$32i7W=FG$"3mK=fNUH"["F,7$$"3G!p0(3,SmBFG$"3Ws-D,0gw;F,7$$"3_X-9`AYhAFG$"37PuCTFYQ9F,7$$"3OU?+Jn=XAFG$"3HnQYn"o,$=F,Fd]l7'7$$"3g'z4.5U(oBFG$"3BT$[;Wi*R:F,7$$"3)\/FWz:W*GFG$"3'Qw$>&HKzh"F,7$$"3%R3B]%G&Qy#FG$"3st[U"pBRS"F,7$$"3%>jFsNbtx#FG$"3C5G,i*y")z"F,Fi^l7'7$$"3C/[Mi?z%*GFG$"3[">#4K'>^f"F,7$$"3\0%R8T(*4U$FG$"3g8*\Z5vFc"F,7$$"3b)*4uAHs0LFG$"3Q"*[Y%*3Xs8F,7$$"3v@&>+I=%3LFG$"3QU3@1\5n<F,F^`l7'7$$"3%3@z'RI-AMFG$"3;=nn#e$oY;F,7$$"3-nB&H,)RYRFG$"3$pQlT:67^"F,7$$"3)oASk"GAFQFG$"3L\(Q.=,RM"F,7$$"3oPG[&=7&QQFG$"3Z;OH5C=P<F,Fcal7'7$$"3]d'4%z'4-&RFG$"3AxBl!)\k%p"F,7$$"3S*Gp@&H%3Z%FG$"3'ys*=c(\KY"F,7$$"3!o-<W2"[[VFG$"3(*H'zX"36=8F,7$$"3w9*)y4SwnVFG$"3*QN\"pde3<F,Fhbl7'7$$"3w5#\g\`"zWFG$"3^-hmPe1R<F,7$$"3G/rZ92`%*\FG$"3e-g<**)G)=9F,7$$"3_/Tyn]gp[FG$"3w(=cKx&*[H"F,7$$"3oX\Kz9H'*[FG$"3!y5xqoG9o"F,F]dl7'7$$"3fx5iYDo3]FG$"3a;W&Hmn+y"F,7$$"3f0E&GCLw^&FG$"3a)o()Q2FyP"F,7$$"3K)eb-;#o!R&FG$"3?;@%\?eSF"F,7$$"3Q#[W$4A?CaFG$"3kid6F7xb;F,Fbel7'7$$"3$\rQ0^]'QbFG$"3FMGa)>;y"=F,7$$"3ROB)y&oHSgFG$"3"3F*HQ&y+M"F,7$$"3"G/5>]"y6fFG$"37zUd&R%Rb7F,7$$"3M1qftHf^fFG$"35&*>3c"H;j"F,Fgfl7'7$$"3G#4!)=+N*ogFG$"3c[9?nj]_=F,7$$"3?F$)[XRkilFG$"3_c1kp$)Q08F,7$$"3o\lWSi&HV'FG$"3"zRwp.-(Q7F,7$$"3S\*4pS\&ykFG$"3WuDoWP)*3;F,F\hl7'7$$"3Yg![iHN%*f'FG$"3!>aqh?\V)=F,7$$"39Fx1I_x%3(FG$"3=j:nIbat7F,7$$"3A9A)))*eCapFG$"3vVfTIfyB7F,7$$"3;&zt^?Y^+(FG$"3q$p!y!)3z(e"F,Fail7'7$$"3dI%p@up+8(FG$"3CwudM9c8>F,7$$"3=DP4jBx1wFG$"3&)GYE-LLW7F,7$$"31Czj7(ycZ(FG$"3D`bHg>Y57F,7$$"3^%*RmBxWJvFG$"3;u())f#*))zc"F,Ffjl7'7$$"3uER"**4t2m(FG$"3cCtFnwNS>F,7$$"39(f'H%e+(G")FG$"3`!yk&pq`<7F,7$$"3]B3C(yts*zFG$"3'yq?H^f&)>"F,7$$"3%>?]q$)3v0)FG$"3'3r2i70&\:F,F[\m7'7$$"3]#zr_)R\">)FG$"3A'G>5(\%\'>F,7$$"3I,h)yF61l)FG$"3')=G#ew\H>"F,7$$"3%QtA8+V!>&)FG$"3cLu"fkAz="F,7$$"3y1"*3NfP$e)FG$"3#[;y`hgA`"F,F`]m7'7$$"3(\jS%GD>A()FG$"3Gl/EQ$>v)>F,7$$"3uGYm8Vas"*FG$"3!)R;e)Rv.<"F,7$$"3BK/&yi#*4/*FG$"3)HB+<L5%y6F,7$$"3H,q:cz34"*FG$"3YF#=1<uh^"F,Fe^m7'7$$"3a'>kJIQGD*FG$"3Rv=YWOE3?F,7$$"35P%))y6IXp*FG$"3qH-Q#4J'\6F,7$$"3'3*H]yY7j&*FG$"3_#Q8D1'*)p6F,7$$"3$=Yw6RxYj*FG$"3<ilbB\;,:F,Fj_m7'7$$"3/6"*)>a3My*FG$"3kD8R+nMF?F,7$$"3D*3,e9f;-"Few$"3Xz2XO![08"F,7$$"3!*HtX*zV&35Few$"3%\s0#\qEi6F,7$$"3QMol@r,;5Few$"3Wi?AOU:(["F,F_am7'7$$!3&p`)ys(G$G=F,$"3Q]Fz[h2!f#F,7$$"3&p`)ys(G$G=F,$"3zf9*[K8ds$F,7$$"3l#)QkZ8#)4:F,$"3eVk$f+;FM$F,7$$"3w:HGU.dMcF7$"3ICZ&=Klph$F,Fdbm7'7$$"3+w,Yx2q*>$F,$"3EN,B'zLzm#F,7$$"3i2N,7]hEtF,$"3#\2aunbyk$F,7$$"3*o6mUl79%oF,$"3#HGUH3P4G$F,7$$"3:+&zl36[-'F,$"3c#yL0lb/f$F,Ficm7'7$$"3;7'H`WArD)F,$"3eXtvR#)4eFF,7$$"3_v<O84bz7FG$"3gko#RB"pdNF,7$$"3EsC,M$3Y@"FG$"3&GM1<x%Q9KF,7$$"3qX$)\%evz9"FG$"3c`zKtPwaNF,F^em7'7$$"37ZdTmoGN8FG$"3c\"R>Yv'fGF,7$$"3>ejUqygA=FG$"3gg]u6S6cMF,7$$"3?R0N%Q^>u"FG$"3J9!f7!fBWJF,7$$"3[8n'=<[Ap"FG$"3]spEams4NF,Fcfm7'7$$"3=m4))Rdt\=FG$"35))y]07;pHF,7$$"3E2&3fd!zgBFG$"33Aj<o#GmM$F,7$$"3WtY]_<(eE#FG$"3!\ID$)oeK2$F,7$$"3Oq*[R;;WB#FG$"3igfM:)\lX$F,Fhgm7'7$$"3?b/@&)ompBFG$"3!y8B:rl63$F,7$$"3Q'QE&45\$*GFG$"3Rs5;iPiMKF,7$$"39]kFXQZ'y#FG$"3]vc(H2l\+$F,7$$"3Sb**QucotFFG$"3KCE@mJ$yR$F,F]im7'7$$"3?![^a1_\*GFG$"3Kmx?*[<)*=$F,7$$"3_HFB3u$3U$FG$"3(QWwW)>(f7$F,7$$"367tGi'>VI$FG$"3omr=QzeUHF,7$$"3WA\,@,k4LFG$"3o.JFX>+PLF,Fbjm7'7$$"35a[?!oyZU$FG$"3g,T:FeF!H$F,7$$"3xBnUsBkVRFG$"3d3,`YO^DIF,7$$"3!>Mf-Lt-#QFG$"31VBabCE))GF,7$$"3MT8JXoLUQFG$"3+X(3ZA5uF$F,Fg[n7'7$$"3ku3^R"fz&RFG$"3?%G/@s3'zLF,7$$"3Gs!o?\$4jWFG$"3(f#*z:v!=OHF,7$$"33t)>7`__L%FG$"3XWm<T.wUGF,7$$"3G-p4i[?sVFG$"3*Ga%f06h@KF,F\]n7'7$$"3#4'*))G-xK\%FG$"39dC#fr9oX$F,7$$"39atj(=2/)\FG$"3/`<wdZ(*eGF,7$$"3[1_(\TI+&[FG$"3AaAx$4Pd!GF,7$$"3c)f)[6/&)**[FG$"3M\NL<Z3rJF,Fa^n7'7$$"3Y^UBh<rH]FG$"3%))z#fw\IANF,7$$"3sJ%R#GSg'\&FG$"3K694(\%[$z#F,7$$"3)*efCn8:l`FG$"3/3hZfT>wFF,7$$"3=3W?2k)eU&FG$"3N$**H(fLOEJF,Ff_n7'7$$"3]sy*QS;lc&FG$"3'f;A!HUFxNF,7$$"3#)yJ_k4V7gFG$"3@W?mW_^QFF,7$$"3!3X`"R$R4)eFG$"37HYXJR*Gv#F,7$$"3sgM=@f$3&fFG$"3?4O#>&)Ht3$F,F[an7'7$$"3-RRcu$*>.hFG$"3`C&p3T4Ki$F,7$$"3X![/Gdz$GlFG$"3k&o9G1!e#p#F,7$$"33fKvO"\vR'FG$"3<$>0FlCYt#F,7$$"3u&\CCe,^Z'FG$"3!))f&Q,)4N0$F,F`bn7'7$$"3\[)[@ln%RmFG$"3)z50Wv"fhOF,7$$"37Rp;uGuWqFG$"3?-"z#>x>aEF,7$$"3,W`DjM-:pFG$"3ZEB`<nK?FF,7$$"336D=mH(*)*pFG$"3A%*e/MJGCIF,Fecn7'7$$"3=JrzIn;vrFG$"3a.*pbb_Pp$F,7$$"3cCgYu`nhvFG$"3h1V6=p.AEF,7$$"3AD))=!)*QLV(FG$"3wmel=%H"4FF,7$$"3IeMk;'[E_(FG$"3mOvS,4,**HF,Fjdn7'7$$"330M5n<B5xFG$"32yZx6U#3s$F,7$$"3!)=r5<>Cz!)FG$"35K%4>El\f#F,7$$"3%f,!\'3QC&zFG$"3v/Mdo?M+FF,7$$"3Yhakl'fi/)FG$"3g*=w5o*4xHF,F_fn7'7$$"3^O;b1DlW#)FG$"3MM5$Q%3uVPF,7$$"3GdigcFX(f)FG$"3%e<`)H'[?d#F,7$$"3E6$QHv[AZ)FG$"3C2IwTtU$p#F,7$$"3')*zp2x*))p&)FG$"3;tRIHv-eHF,Fdgn7'7$$"3?3Y?#))\%y()FG$"3oya">GgKw$F,7$$"3_b1!*fpG;"*FG$"3]J(o<>HDb#F,7$$"3;s#Q#efp#**)FG$"35#RPzDrzo#F,7$$"3i-0v:-f$4*FG$"3/E%4i1\8%HF,Fihn7'7$$"3E:IO\6m6$*FG$"3!oCD`N#**zPF,7$$"3Q='*orsqN'*FG$"3Qj*e$=rzNDF,7$$"3X>&***fxq8&*FG$"3w'e1J*fl$o#F,7$$"32xLT'p!R<'*FG$"3mS:&[e!pEHF,F^jn7'7$$"33"z4)*zIV%)*FG$"3s;=5KkU%z$F,7$$"3D@!>+#pc:5Few$"3W$R#eTIO@DF,7$$"3(QhF^"=_.5Few$"3%y<W1XP-o#F,7$$"3vv_rw1895Few$"35%\H4DTP"HF,Fc[o7'7$$!3W7g5Wv)fW"F,$"3Q*Q85'*Gs2%F,7$$"3W7g5Wv)fW"F,$"3'e#H^\_X'R&F,7$$"3_8$Q4>M&p8F,$"3rg(4RJ&Q-]F,7$$"37J.A0&*y,FF7$"3/ic_XMG>_F,Fh\o7'7$$"3=[GM*omqa$F,$"3zQ(ya.E$QTF,7$$"3WN38+"\#zpF,$"3[wv/v"e`L&F,7$$"3YAn2-K#\t'F,$"31k(RTF'[Z\F,7$$"3g"p-">kRPdF,$"3#G')[\&***[?&F,F]^o7'7$$"3h!p)fXsmL&)F,$"3w5P9Qr<@UF,7$$"3mn[LLk*=D"FG$"3%Rg#Qsq]__F,7$$"3Akw$4I%e37FG$"3AD%34&*o(z[F,7$$"3n*3^(R,kA6FG$"3%[n*[Kimy^F,Fb_o7'7$$"3+ffO/a@`8FG$"3jj26U6/JVF,7$$"3JYhZK$zY!=FG$"3>_bToIkU^F,7$$"3'*ylur7vS<FG$"3!)["*)Q7Fwz%F,7$$"3wYy)yx<Jn"FG$"3H*yr*p]AO^F,Fg`o7'7$$"3#p(y#4r*yd=FG$"3QXAV[NOoWF,7$$"3_'fh[gOFN#FG$"3XqS4i1K0]F,7$$"3QQJ,s1&zE#FG$"3I[ad^4Y.ZF,7$$"3/`Y(eC/KA#FG$"3!ztD?7rY2&F,F\bo7'7$$"3U%G^Z+(3rBFG$"3)Q&ojN=vCYF,7$$"3;db)**)32#*GFG$"3Qh%*)[PK*[[F,7$$"3'*\R*eU:')y#FG$"3t&*)>u!p-0YF,7$$"39m&*G9P$*pFFG$"3=+cM@[w&*\F,Faco7'7$$"3]_gi:0?&*GFG$"3%\'oxqmo$y%F,7$$"3@d"e!e*)e?MFG$"3M]%\(Rv***o%F,7$$"3H8^w4`$HI$FG$"3yo%>d;hK^%F,7$$"3*4t]ttU2J$FG$"3(paVv\-t!\F,Ffdo7'7$$"3b:W^v)**)GMFG$"3&\ErVk(>G\F,7$$"3Kir6x6_RRFG$"3K]]:ml[XXF,7$$"37BhYF@-8QFG$"3,k_1dH'oV%F,7$$"3ZuuJ<Z"\%QFG$"3(QKnK$*G)>[F,F[fo7'7$$"3A;Q@WNvoRFG$"3qv]aYCe[]F,7$$"39J^O(3*H_WFG$"3cR7)Rw,^U%F,7$$"3^#pFX/I;K%FG$"3m#ymFrf(yVF,7$$"3%*yY2onetVFG$"3To-8q)=9u%F,F`go7'7$$"3(=Qy6ut7^%FG$"36!3n%))4YV^F,7$$"3=LzMp/Ti\FG$"3rN#f?AB-L%F,7$$"3Z;0i&f^3$[FG$"34"=_-4=rL%F,7$$"3'o$y[49i)*[FG$"3oW$zjjqan%F,Feho7'7$$"3)*[K^CL2a]FG$"3R$oJ?5Ri@&F,7$$"3AM/'\YUAZ&FG$"3'=j%\3^WdUF,7$$"3GKKbSkvT`FG$"3:#pw'pm@3VF,7$$"37`Y,Sfl@aFG$"3&437]_V=i%F,Fjio7'7$$"3_Z100))*ef&FG$"3Y!fr8ed;F&F,7$$"3!QSqLc[I)fFG$"3![sa"Hm--UF,7$$"3YbXeD-maeFG$"3g-$3TOF%)G%F,7$$"3a%Hp#QhzVfFG$"3[>"[Go*yyXF,F_[p7'7$$"3tO(=Qj^i8'FG$"3c4]2ge/9`F,7$$"3u#o\NJF`\'FG$"3q08X]$Q'fTF,7$$"3+am^N[[pjFG$"3)\hlz_@\F%F,7$$"3?H'=8Y&olkFG$"3/CQw(GGUa%F,Fd\p7'7$$"3g&*Gv+"Q]n'FG$"3#[j1]/9oM&F,7$$"3*>*GcDC<4qFG$"3+"o>b;qo7%F,7$$"3%["Q>F#**f)oFG$"3/$pA9R&plUF,7$$"3#31^r@hw)pFG$"3c!>I]8'H;XF,Fi]p7'7$$"3ii"o0N\B@(FG$"3%ota">h[s`F,7$$"37$*\paF\CvFG$"3Uy:P"4)>,TF,7$$"3)4j/3RTRS(FG$"3)[#3sYiQfUF,7$$"3wglyf?))4vFG$"3)z%f")*z$\$\%F,F^_p7'7$$"3Sx<*>zW$[xFG$"3/,oIab)GR&F,7$$"3QZ(=A*)G6/)FG$"3m8&>il)z!3%F,7$$"31iKk()*oI#zFG$"3iyM1l(z]D%F,7$$"3]qQ[i&4C.)FG$"3!fqL-%ymuWF,Fc`p7'7$$"3uWxVGm>$G)FG$"3@$e)oOFK4aF,7$$"31\,sM'3*e&)FG$"31Kx$QZhV1%F,7$$"3iH"4<=vJW)FG$"3;SbmE@;_UF,7$$"3-+n%pGb_b)FG$"3kUtPJh%*eWF,Fhap7'7$$"3\"f$4%>mq"))FG$"3wb;VdMuAaF,7$$"3As;,[1nx!*FG$"3_fY4`2%40%F,7$$"37B&REo*3k*)FG$"3+(Q413=-D%F,7$$"3/2wmulSy!*FG$"3cZz/@9nXWF,F]cp7'7$$"3[7)4uk&4]$*FG$"3[!)QBEn$QV&F,7$$"3;@GktFF(f*FG$"3CMCH%[Z)RSF,7$$"3itQ#4Zuc[*FG$"3/Kf)fej*[UF,7$$"3#4m&3T-%=g*FG$"3!*)og1VYVV%F,Fbdp7'7$$"33_Z?5mS#))*FG$"3e?*p<O5JW&F,7$$"3:D&z*Q$f<,"Few$"3o%Rc([QdISF,7$$"3W68.F=y+5Few$"39d1UK>?[UF,7$$"3dd(RY'Hb75Few$"3yKN6<?fCWF,Fgep7'7$$!3%*3Y)RK!3#>"F,$"3J*>T0eh>h&F,7$$"3%*3Y)RK!3#>"F,$"3/@s#oO<'>qF,7$$"3SB$4jk<CE"F,$"3Y79&[#\WDmF,7$$"3m&*Qwtd6P*)!#?$"3>."\M(pD/oF,F\gp7'7$$"36YFh?Ge1QF,$"3aF)oS>w#ecF,7$$"3_P4')oHt>nF,$"3#Gf*H`FItpF,7$$"30A%=N>Xpj'F,$"3]9S+@![$zlF,7$$"3%Ry#\F(*3TbF,$"3'*GE7#GMyz'F,Fbhp7'7$$"3cDcRildq()F,$"3aw6#G!RrFdF,7$$"3Gu^l,b?G7FG$"3"QCZX/lQ!pF,7$$"38rNdgg=,7FG$"3ky,m5/a<lF,7$$"30K(HaYtJ5"FG$"3=()=s%H,4y'F,Fgip7'7$$"3K9)><K.5P"FG$"3Z/ESE%[>$eF,7$$"3+"HA^T"*oy"FG$"3)e"e'4_I'*z'F,7$$"3*HD"*))3prt"FG$"3C=,xmJ;MkF,7$$"3#*=VM9*Gll"FG$"3uv>#oBzgu'F,F\[q7'7$$"37]7nw2#p'=FG$"3i=OXp"=6)fF,7$$"3bB#="RbgVBFG$"3s,["zxg/l'F,7$$"3Ul<+O&*GoAFG$"360lImqyEjF,7$$"3!pm'H&)4^7AFG$"3!etT"Q1I%o'F,Fa\q7'7$$"3A'yBs&>%GP#FG$"3SujDD!)orhF,7$$"3ObI^PfJ!*GFG$"3'f/7@#4*)fkF,7$$"3w>nO))zG!z#FG$"3&3Dt>USM?'F,7$$"3e8aH!3riw#FG$"3s-->2fa"f'F,Ff]q7'7$$"3c;1k:A^&*GFG$"31+(3!G'[jP'F,7$$"3<$fV!esF?MFG$"3I?(f$>.BbiF,7$$"3sO^T(p:;I$FG$"37gp\6jm%3'F,7$$"3'>b-)*))3<J$FG$"3E">*H$4S#ykF,F[_q7'7$$"3T?%32,=QV$FG$"3#Gc"3q1pelF,7$$"3YdJ#>/.Y$RFG$"3adoGx#))G2'F,7$$"34v*Re8Qf!QFG$"3;-i#R>t-*fF,7$$"3;nGdo;UYQFG$"31asLn>'eO'F,F``q7'7$$"3)\8*e!ec0)RFG$"3U**>4g%y&*p'F,7$$"3$>")*)40'\SWFG$"3$4Uws[+?$fF,7$$"3V#Hj!>Q$*3VFG$"3\!3P=p3d#fF,7$$"3Wd78]')*GP%FG$"3K(ePYHj1F'F,Feaq7'7$$"3F5l,3A6HXFG$"3`!4%4<xX+oF,7$$"3x/)4D+sX%\FG$"3$)HVFI77JeF,7$$"3Q%3b")HLU"[FG$"3s7'RHJ">&)eF,7$$"3)zRB(Q8,&*[FG$"3%He4)ehy'>'F,Fjbq7'7$$"3ie3f;02w]FG$"3/'oTWI&*4(oF,7$$"3cCG)GFX-X&FG$"3IMn#Hk$egdF,7$$"3px(=#4p'HK&FG$"3yb)*>'Gz1'eF,7$$"3IC]M97]:aFG$"3pI)=MN589'F,F_dq7'7$$"3)en@T7Q.i&FG$"3D*H2HT41#pF,7$$"3Wv$*HW#4'efFG$"35@6YM&p4r&F,7$$"3cCt$otp\$eFG$"3+hdV!e7g%eF,7$$"36t6/gIxNfFG$"3aO!p0#fr*4'F,Fdeq7'7$$"3+QjYr**)=;'FG$"3!oxzyY#=cpF,7$$"3["3-f(*)opkFG$"3cV')[zkRvcF,7$$"3_Asx`Co\jFG$"3z4Z^`,FPeF,7$$"3)R[w%>YTckFG$"3%y^ToS>"ogF,Fifq7'7$$"3M%yoQzi5q'FG$"3%y4L!4nH#)pF,7$$"3E.qWKx9$)pFG$"3]A`LQAG\cF,7$$"31oh7#GKl'oFG$"34Ew<&[1@$eF,7$$"31$)4N@ohxpFG$"3$)*G6"*=qO/'F,F^hq7'7$$"31d-0Z$e#QsFG$"38_^V.#H>+(F,7$$"3o)*G@ePe)\(FG$"3BoK$Ru\'HcF,7$$"3u]4dUL/&Q(FG$"35IB+L\8HeF,7$$"3A3h>k**R*\(FG$"3x6VP"**yV-'F,Fciq7'7$$"39@L,'>TQx(FG$"3Qcddw=-<qF,7$$"3(=?(>)[Kc,)FG$"3(Rm#zqqb9cF,7$$"3tH;E/r%[!zFG$"3E]Tlty_FeF,7$$"3G?-Tr"><-)FG$"3[h?zU8()3gF,Fhjq7'7$$"3h/u(y!Q63$)FG$"3$Q"R.o<')GqF,7$$"3>*[!Gb9*R`)FG$"3`1XLzrr-cF,7$$"3^Z^))=[mD%)FG$"3v*>zBU#yEeF,7$$"3'[ww7?5Xa)FG$"3i6:$zl!>'*fF,F]\r7'7$$"3:?5O:'=8%))FG$"3&QIB_]>$QqF,7$$"3cVUuE#=M0*FG$"3];^9U%fKf&F,7$$"3A$)\)yZ'GZ*)FG$"3.@9.pneEeF,7$$"3_l"3)\"3x1*FG$"3#)Q)ovZhc)fF,Fb]r7'7$$"3m$))p>iZOP*FG$"3M1Hrfo*f/(F,7$$"3)*\F3*z?Pd*FG$"3-9bl(3#e&e&F,7$$"3Ie93qIbp%*FG$"3RHTS>PuEeF,7$$"3mRi3,VD"f*FG$"3oy(QAg)zwfF,Fg^r7'7$$"3EPfLuED0**FG$"3meN'*G'=B0(F,7$$"3j1kcKZZ45Few$"3qh[S=.EzbF,7$$"3u&fu05VB***FG$"3!yr1PIEr#eF,7$$"3&>yyfz4:,"Few$"3-:G?#HZ#pfF,F\`r7'7$$!3SY]2WcFC5F,$"3)RDG\#)=v;(F,7$$"3SY]2WcFC5F,$"3csAGf[&>i)F,7$$"3I"*eE%Hmn="F,$"3yCT\Z&R-B)F,7$$!39\cCOMPEDFigp$"3=#Q0T*3)QQ)F,Faar7'7$$"3q8l6C*Q-*RF,$"3DQ:()fnw.sF,7$$"3#*prNlo2OlF,$"3I))*QV#pq&e)F,7$$"3mO/Y%=&pglF,$"3s\xIz"R5>)F,7$$"3(3cP2Qy!4aF,$"3a)z+\-x>Q)F,Ffbr7'7$$"3[;`_g1Na*)F,$"3S5O%[I#fhsF,7$$"330A%=4G)47FG$"3:;pOz8)y_)F,7$$"3="QP)\?_%>"FG$"3#3#y#zOCe8)F,7$$"3EsPHgz**)3"FG$"3cw+FP">;P)F,F[dr7'7$$"3)eYXwX*\'Q"FG$"3i\98oLFctF,7$$"3URm>z_Rr<FG$"3%p2zgJ+KV)F,7$$"3IuEaX[$Ht"FG$"3E:<EfGqb!)F,7$$"3N0P@L4>V;FG$"3^&4DasuVM)F,F`er7'7$$"3;U<$GAMf(=FG$"3-=*\(*G7v](F,7$$"3^Jx&H4#fMBFG$"3_31Y%Rh>G)F,7$$"3Y<.'QYevE#FG$"3:p*3Na"HUzF,7$$"3@gxYQ5-.AFG$"3chM5Y\G'G)F,Fefr7'7$$"3#>JUs=VZP#FG$"30JN*eXFFs(F,7$$"3mHX\2ZT))GFG$"3]&*pJGium!)F,7$$"3uDudwc`"z#FG$"3a\!["frj*z(F,7$$"3#p8UbWnGw#FG$"3?7sL*z!*[=)F,Fjgr7'7$$"3'\AFH%e&e*GFG$"3%Q5#3YTYnzF,7$$"3v%)pvIO$*>MFG$"3qA%G"Q&4?#yF,7$$"3P<tj_oS+LFG$"3%4h)39A(pl(F,7$$"3&4zm*p!GDJ$FG$"3yI4'\bI+0)F,F_ir7'7$$"3q%yWwIU*QMFG$"3-Ygxo!\3=)F,7$$"3<$z')\uy%HRFG$"3a![MahC'3wF,7$$"35reP0=V*z$FG$"3!=MY(zOc[vF,7$$"3Qow[wr6ZQFG$"39[Gv2gY;zF,Fdjr7'7$$"3+Xq$y^&z"*RFG$"33^tI;/pL$)F,7$$"3!>!>u8rDHWFG$"3[vJ!zE$ybuF,7$$"33RmTNW'zH%FG$"3;Z$4Ek2=[(F,7$$"3Y?.XkL7rVFG$"3R*)z`RQ!*4yF,Fi[s7'7$$"3&*yqxp&RYa%FG$"3NE4b9&))RV)F,7$$"34O#\2kW!H\FG$"3?+'f'p^[btF,7$$"3t,u<i3)3![FG$"3aN1t"4O[W(F,7$$"3)fM=49c2*[FG$"32a(f\*)RJt(F,F^]s7'7$$"3E#oTN&y"Q4&FG$"3%\5j'4;/*\)F,7$$"3#4+Kf$z\KaFG$"3g@uau?V!H(F,7$$"3!\sDl"G")3`FG$"3^Aw"Qo)4DuF,7$$"3bl`yx-`4aFG$"3Gh.hX(3"zwF,Fc^s7'7$$"36Jfr1=!*QcFG$"3![.o2:5Aa)F,7$$"3@?^qhb/SfFG$"3u"\UM`jsC(F,7$$"38qp9<**)3#eFG$"332(3@z)p9uF,7$$"30KuDN@!)GfFG$"3N*f]$3mbSwF,Fh_s7'7$$"3))puZ>1Z!='FG$"39>V)*o%R=d)F,7$$"3c\4*yK36X'FG$"3T2iA:Uj<sF,7$$"3?UtIE$)3OjFG$"3%>P%\7"R$4uF,7$$"3/=07k(Q*[kFG$"3">[/QR<Bh(F,F]as7'7$$"3#RKr:lX#>nFG$"3mbQNk.*Gf)F,7$$"3qjWuu['\'pFG$"3)3nc)>Le'>(F,7$$"3A^0>Uce`oFG$"3gv6<azu1uF,7$$"3#pJlDcW*ppFG$"3_J5brt."f(F,Fbbs7'7$$"3CO6fWt%eD(FG$"3P5]Pg&G$3')F,7$$"3_>?ngZ*4[(FG$"3=;b$Q7X6=(F,7$$"3)H#*o'QHystFG$"3zy5y?"4dS(F,7$$"3]!)Qr"*[r"\(FG$"3#>uTGopXd(F,Fgcs7'7$$"3IR0v2!f2z(FG$"3wfU"e5s*>')F,7$$"3e%)*fkn9()*zFG$"3ymiRy:]prF,7$$"3#[R$\"oaK*yFG$"3Dtjn$GabS(F,7$$"3?$*[WDs79!)FG$"3Ie%3_.@:c(F,F\es7'7$$"3c!>5/#eMC$)FG$"3.MM$=Mq*G')F,7$$"3D.xuU%fx^)FG$"3_#4xBM.0;(F,7$$"3%Gzu,/)p9%)FG$"3*4gPbm0fS(F,7$$"3f'[H,Hqq`)FG$"3SM2H#)e'4b(F,Fafs7'7$$"3SD%GBD#)o&))FG$"34z=:$ysgj)F,7$$"3JQox*eay.*FG$"3YZ'e5!4S`rF,7$$"3IwkGM\*o$*)FG$"31**yN`Ta1uF,7$$"3g74YC4Xg!*FG$"3u3UW1MFUvF,Ffgs7'7$$"3#=;b'zcd)Q*FG$"3Dc^T<FyT')F,7$$"3#=Z(RTFze&*FG$"3Iq`zm4pZrF,7$$"3[$Q[N%eof%*FG$"3'yPZ:#*RtS(F,7$$"3!eOL%*[$>%e*FG$"3C6T&yr-]`(F,F[is7'7$$"3bWDB;Ve>**FG$"3W!fUREZkk)F,7$$"3!fuw$o:/35Few$"35OzE?k-VrF,7$$"3u"p6h8_H)**FG$"3PkEC=[@3uF,7$$"3H"zT1sB3,"Few$"3)*\Q*QMQ)GvF,F`js7'7$$!3+fZH&3877*F7$"3'y+O%)Q\Jt)F,7$$"3+fZH&3877*F7$"3\i;E.>U@5FG7$$"3n%e6![NFM6F,$"3P:$=.&*[^#)*F,7$$!3;jiAZb6&***Figp$"3uPxfYr'>'**F,Fe[t7'7$$"31R,Lg$R!=TF,$"3;f]-%RtGw)F,7$$"3cWN9HkF3kF,$"3OdFq-&\%=5FG7$$"3J@wl0zw/lF,$"3AZ'fZ-@3z*F,7$$"3ae))[6K3?`F,$"3O_1#\!))ei**F,Fj\t7'7$$"3#yQsHuR+4*F,$"3h:sO>U;7))F,7$$"3#y\(f$=fi>"FG$"3rT&o,U?N,"FG7$$"3!GcrBF$>*="FG$"38,.ZRp.T(*F,7$$"3g7<^S*R*y5FG$"3M&\XkMyk&**F,F_^t7'7$$"37#faJA\*)R"FG$"3[G;([9sx*))F,7$$"3=8vo8b%*e<FG$"3K+"=wif\+"FG7$$"3b&)zg-n**G<FG$"3o#pHwU?_m*F,7$$"3N/ALe8,L;FG$"3!GQHbk<_$**F,Fd_t7'7$$"3az'QN(p(R)=FG$"3!=,Aj>8k/*F,7$$"3"Rz]AM\lK#FG$"3&4iIZAb4!**F,7$$"3k;<_JbLmAFG$"3eVF;5o(*\&*F,7$$"3=**4#epB^>#FG$"3!*Gop'31>))*F,Fi`t7'7$$"3?&RNJM)fwBFG$"3kOda(>3%y#*F,7$$"3QY9g^&fl)GFG$"35'*o]B-'*o'*F,7$$"3K3TJ7FU#z#FG$"35mmLwx;$R*F,7$$"3[y1:5n()fFFG$"3;0io#oQcx*F,F^bt7'7$$"3O?&)3Qs>'*GFG$"3'\l!RT7uc&*F,7$$"3P*o&fNAf>MFG$"3yx>mzri!R*F,7$$"3-pKMvCN*H$FG$"3B-D%\!)=.B*F,7$$"3oe1#QJ&>8LFG$"3wyG2`]'Gi*F,Fcct7'7$$"3cvDo8AvVMFG$"3Eoe$\3WWz*F,7$$"3J-!\*Q)oY#RFG$"3[kn6OV#H:*F,7$$"35@"pdM<Qz$FG$"3>V&=:qt96*F,7$$"3szt$[Kxs%QFG$"3#ROo/<h@Z*F,Fhdt7'7$$"3H0MF1$4:+%FG$"3avy'\GYL&**F,7$$"3hTbIDLa>WFG$"3?dZ3O@-%**)F,7$$"3#4wOdYk!*G%FG$"3xroz\"f\/*F,7$$"3%RN5[93!pVFG$"37v42kY[e$*F,F]ft7'7$$"3o5Vv@k5dXFG$"3iW/[aL.05FG7$$"3N/?x)yxl"\FG$"3Y&=[i([.(*))F,7$$"3q\&RO%ep!z%FG$"33tm*)*fH>,*F,7$$"3yP#>g1/o)[FG$"35V*f^7L:G*F,Fbgt7'7$$"3q'\L>h%G2^FG$"3BL#Rhiw4,"FG7$$"3['=Sv<J!>aFG$"3Q*Hg'f@gP))F,7$$"3OK&G'G#H&)H&FG$"3EG%G]!)Gh**)F,7$$"3GoGx.Ha/aFG$"3gXMBH(Q*H#*F,Fght7'7$$"37egbxgT_cFG$"3V>R0*>jZ,"FG7$$"3>$*\'3HJl#fFG$"3WQM^Ikt*z)F,7$$"3S)e"H"H@5"eFG$"3!oA!ou6x))*)F,7$$"30MPH@fMBfFG$"3UF>m%edV>*F,F\jt7'7$$"3!=Y%y_Ef$>'FG$"3-zPj%Q)G<5FG7$$"3mdRe%H')zV'FG$"3mV[ruX[u()F,7$$"3U&*eo#)o!oK'FG$"3y9[]#G*f&)*)F,7$$"3!49@`:SLW'FG$"3WOW&Q^%*)o"*F,Fa[u7'7$$"3ws3"3K+=t'FG$"3`i`%)ed/>5FG7$$"3%["\]0-T_pFG$"3]2!*fK3"pv)F,7$$"3t*))f&\c"\%oFG$"3))e%fG5aX)*)F,7$$"3_TW@zyPkpFG$"3+!**zj^6+:*F,Ff\u7'7$$"3y+rc=jynsFG$"3P2)o;::.-"FG7$$"3)\0'p'yb!puFG$"37gXO/p@W()F,7$$"3cWWTE2pktFG$"3QV$**HY4Y)*)F,7$$"3QPZx5'oi[(FG$"3deg4k:cN"*F,F[^u7'7$$"3@$Gn&e>4-yFG$"3"y&4uc;E@5FG7$$"3oSKkD<Q()zFG$"3iaIk`=vM()F,7$$"3GK!**yh(o&)yFG$"3)y<ftGN_)*)F,7$$"3\3Hr5I%)3!)FG$"3jWhm7E?C"*F,F`_u7'7$$"3^m.*z82^L)FG$"3RlAc>n)>-"FG7$$"3HFv;D")*p])FG$"3')y*HaA,vs)F,7$$"36"e[$>2g2%)FG$"3966s:)[h)*)F,7$$"31rz>]X'>`)FG$"3Q!)R5cq1:"*F,Fe`u7'7$$"3gM%4C8:r'))FG$"3ret5"3bD-"FG7$$"36Hep4<iF!*FG$"3wY!z*4w"=s)F,7$$"3z&4*Hma@I*)FG$"3_S@mJa>()*)F,7$$"3]2.Rml_b!*FG$"3HNpik`d2"*F,Fjau7'7$$"3e3![lkC$)R*FG$"3L*zo%*[4I-"FG7$$"3/DY]uP/\&*FG$"3[RYOENF<()F,7$$"3%z"GT-zP`%*FG$"3I)*)puG*G))*)F,7$$"3Q)4t(\jWz&*FG$"3)*ftVL'G85*F,F_cu7'7$$"3lmP"e&=*)G**FG$"3UxYrP!zL-"FG7$$"3pB'=W"3625Few$"3bee!R/yNr)F,7$$"3=3R*RBvp(**FG$"3wV%*pgDQ*)*)F,7$$"3wJ(4&ffO55Few$"3w(zypxWg4*F,Fddu7'7$$!352\tB^^v$)F7$"3R=dtK5UI5FG7$$"352\tB^^v$)F7$"3]bP0$G0,="FG7$$"3;')=NXac)4"F,$"3+#\!)e0;99"FG7$$!3)>C%)H2L!)["F7$"3U%4m&G$zR:"FGFieu7'7$$"3^&Hz1(460UF,$"3c0>S?y(H."FG7$$"36)Q%z=[?@jF,$"3MovQ&\[v<"FG7$$"3#4u>R([VlkF,$"3uu@;uEJQ6FG7$$"3C;#R!\#z1E&F,$"3%z.B!yL=a6FGF^gu7'7$$"37&=YhJgg=*F,$"3Mc(43y@t."FG7$$"3?=,GErl'="FG$"3a<(z\`/K<"FG7$$"3kkW9w,C&="FG$"3y:zmRJtL6FG7$$"3#o\pwa/?2"FG$"3IGywrp$Q:"FGFchu7'7$$"30y&))o2#H39FG$"3gZh"))fm^/"FG7$$"3EFN&*fEg\<FG$"3IEL(prf`;"FG7$$"3KqO(p@(yD<FG$"3XXto'*z`E6FG7$$"3q@g<&GEci"FG$"3a;sT!HO@:"FGFhiu7'7$$"3QP+2V^_!*=FG$"3;*od"yzif5FG7$$"32O%>F<,+K#FG$"3u%yJwL)*3:"FG7$$"3ah(o6?Y]E#FG$"3.c1/uB.:6FG7$$"3Y"ot#ov)*)=#FG$"31hVEwICZ6FGF][v7'7$$"3!\Z*Ro8ByBFG$"3!fd0m73R3"FG7$$"3omtLEl#\)GFG$"3+)*Q=*==m7"FG7$$"3/0y0m'>Iz#FG$"3W9P'47q$)4"FG7$$"3qODCZzUdFFG$"3\c!4yDsj8"FGFb\v7'7$$"3u+RhZG]'*GFG$"3NjC!f*RR96FG7$$"3(*3.2EmG>MFG$"3a5q))>B8'4"FG7$$"3A(y*='e"\)H$FG$"3/h6.(p"[!3"FG7$$"37)*f`\'4PJ$FG$"3a"R:/[!p>6FGFg]v7'7$$"3E%f=R$4%yW$FG$"3Z'\a$zm'*R6FG7$$"3i$)Hr=,e?RFG$"3Ux\VO'f02"FG7$$"3uXuk"[4$*y$FG$"3+`wf#)*ey1"FG7$$"3#zP!3%o[r%QFG$"38KsX@WJ.6FGF\_v7'7$$"3Ou#y(oh@4SFG$"3%yp5Um4h:"FG7$$"3as1!GYO=T%FG$"31w(y:l;W0"FG7$$"3c*RGN_%H#G%FG$"3?!fMOdN81"FG7$$"3Kn;s+(QqO%FG$"3'*pio&4K:4"FGFa`v7'7$$"3qc<t?xXmXFG$"3W<>Re)Ga;"FG7$$"3LeXz*[Es!\FG$"3WcvRdu4X5FG7$$"3'GsSL!)4Ly%FG$"3aB74T6Pe5FG7$$"33Cg$3(fe$)[FG$"3iL4x)zGR3"FGFfav7'7$$"3S!G0q:"*p6&FG$"37X*o<q74<"FG7$$"3y-%oCjC$4aFG$"3wG0-9OhR5FG7$$"3'3)z?DYK"H&FG$"3QC;1&>yq0"FG7$$"3Y&*\mJ0u+aFG$"3ae8s0K+z5FGF[cv7'7$$"3!QXn#)>"*=m&FG$"3C]kp9>Ju6FG7$$"3`(f`,<cq"fFG$"3lBI4,W@O5FG7$$"3YnJ`-2F/eFG$"3)=I#R.Zac5FG7$$"3ec$pQ'>N>fFG$"3miPGw?ov5FGF`dv7'7$$"3W7Y"[f:E?'FG$"39"e9'Qo`w6FG7$$"3-2Qb_L'*GkFG$"3w#*[<x%*)R."FG7$$"3%flZ:*Gc?jFG$"39w>KXQOc5FG7$$"3OjSTfBNRkFG$"3y:C:F*RL2"FGFeev7'7$$"3b+#)QiHJSnFG$"3Mj\'R>l!y6FG7$$"31(eFRc(*Q%pFG$"3b5X#=7hC."FG7$$"3*>iZ8%=:RoFG$"3=2)3c!4Nc5FG7$$"3)>LJ"o&)[gpFG$"33hUs](>;2"FGFjfv7'7$$"3e-gj<zzvsFG$"3[`#Qt%)e"z6FG7$$"3;`ri(=W5Y(FG$"3S?7XouOJ5FG7$$"3'31#[_uNftFG$"3%ynqa]=k0"FG7$$"39Az)[$p^#[(FG$"3!R,?d(>Jq5FGF_hv7'7$$"3J!)*\*=sj4yFG$"3i#*pre'o*z6FG7$$"3eV0Elk$)zzFG$"3E"[sqld0."FG7$$"3S>&*[jEt!)yFG$"3a"4$4;O_c5FG7$$"3t7m_J=C0!)FG$"3o$Qm&f&)Gp5FGFdiv7'7$$"3&y;?V8GAM)FG$"3M-l#*Hde!="FG7$$"3%fsP)Gr()*\)FG$"3brH'eeS*H5FG7$$"3dNzF5j(HS)FG$"334v**yVkc5FG7$$"3Yx3LIR^G&)FG$"3-Eje`!o%o5FGFijv7'7$$"3i1JzKP&Q())FG$"3W)HmiWn5="FG7$$"34d@J4J)3-*FG$"3XvJ_p)e%H5FG7$$"33-0@v+)e#*)FG$"3#z\Ew[pn0"FG7$$"3#*p(Heb?A0*FG$"3iEa'3p'zn5FGF^\w7'7$$"3Q`swj&>ZS*FG$"3!\'>T>8X"="FG7$$"3E!Q&Gd)[Ea*FG$"3**3vP'*\2H5FG7$$"370&fY:'H\%*FG$"3'[NT&*3$*o0"FG7$$"3U&)[&QUwid*FG$"3G9_b'yPs1"FGFc]w7'7$$"3"Gs%*\tx\$**FG$"3Yb!zqni<="FG7$$"33G0]EA]15Few$"3V=/rQOwG5FG7$$"3=F>.*><J(**FG$"3-![IBB7q0"FG7$$"3!fCn(R;155Few$"3)=F"3sbwm5FGFh^w7'7$$!3/wVdu)G9!zF7$"3GSEt@K&y="FG7$$"3/wVdu)G9!zF7$"3@W5unDYQ8FG7$$"3qc-eA*Rb2"F,$"3#RXihhG**H"FG7$$!3U76B3'z`z"F7$"3Q:VZf2y68FGF]`w7'7$$"3;0:$>$HHhUF,$"3k:<hbc:!>"FG7$$"3[y@adG-liF,$"3&)o>'Q8ghL"FG7$$"3C!3wdfa&RkF,$"3'e<L)\_.(H"FG7$$"3Z-tN51&GA&F,$"3!fDvUAj?J"FGFbaw7'7$$"3=WTMR-^\#*F,$"3!p.rWXDT>"FG7$$"3UA.'R87.="FG$"3hZE+N.>K8FG7$$"3w-*4a'=b#="FG$"3]m*)*)pBs#H"FG7$$"3=F-I)z(\n5FG$"3X44:`W(=J"FGFgbw7'7$$"3z'oCO(4r99FG$"3w[)[tps9?"FG7$$"3`=u@jP=V<FG$"3vN[7#4V[K"FG7$$"36oUJ\;ZB<FG$"3Oyt_))["eG"FG7$$"3pX4+()Hm?;FG$"3ALouZ.X58FGF\dw7'7$$"3))oT\;aH&*=FG$"3UvxTjoc:7FG7$$"3d/`H**3B:BFG$"344f0E*[2J"FG7$$"3-Fr/$RrRE#FG$"3?gNRCQRu7FG7$$"3u[`^2Il%=#FG$"3IXOg&)*))eI"FGFaew7'7$$"3oWX>Xl\zBFG$"37[:M,a\S7FG7$$"3#pHU&\8m$)GFG$"3SO@8)Q?eG"FG7$$"3'4DS'y=R$z#FG$"3!\Qs/1,rD"FG7$$"3_gZJc5ibFFG$"3Gm%)z?M"\H"FGFffw7'7$$"3e`,DeHu'*GFG$"3A`aJbu)GF"FG7$$"38cSV:l/>MFG$"3IJ#eTLGMD"FG7$$"3OaJ.6l&yH$FG$"3U.#yS(\0Q7FG7$$"3AR3LXC29LFG$"33'*p'3uFsF"FGF[hw7'7$$"3wRXFa/#4X$FG$"3y&Hxav)o*H"FG7$$"37QqN)f+v"RFG$"3t)Q'*R.FmA"FG7$$"3g[u)*\1/'y$FG$"3>n\I0'[\A"FG7$$"3=/#))yTDp%QFG$"3ea66;@%*f7FGF`iw7'7$$"3i^J;%)Qs9SFG$"3*)z4G)e/fJ"FG7$$"3G&z:uuGjS%FG$"3i/F>,7T57FG7$$"35nn]H#)exUFG$"3Ke"3r+m&=7FG7$$"3WjOT&Q*\lVFG$"3g1@&=POzC"FGFejw7'7$$"3%o)e&*e.)Gd%FG$"3.)=^X")3\K"FG7$$"3>G/d^Q!3!\FG$"3['\A\(pS,7FG7$$"3Oi'\HBZ$yZFG$"3s!f#ew([e@"FG7$$"3EQ-kKaE")[FG$"3K"oG&QIWS7FGFj[x7'7$$"3YAJ`p?[B^FG$"3.FL?Pr1I8FG7$$"3sg0%*>P$GS&FG$"3Yd.F_'[i>"FG7$$"39pYU6Yf'G&FG$"3r_?C<bu97FG7$$"3'oZNb,5")R&FG$"3\5E-"*opN7FGF_]x7'7$$"3q=nZo`6ocFG$"3uy$>5<4KL"FG7$$"3iKV%***>$3"fFG$"3w0VX=m5$>"FG7$$"3]nD=Wi!**z&FG$"3up$)=PyL97FG7$$"3RG,Kr$em"fFG$"3lS%[XeTDB"FGFd^x7'7$$"362qw&zq%3iFG$"3Z%[]B3U_L"FG7$$"3N79g^"3JU'FG$"3/+K72P2">"FG7$$"3N#GoXknlJ'FG$"3j)p@^<QU@"FG7$$"3u&ods&zqOkFG$"3(*y#4o(fLI7FGFi_x7'7$$"3-y/Z.&*yXnFG$"38qHr"\FmL"FG7$$"3f4`%G-@%QpFG$"3Q92w(H)o*="FG7$$"3;([h8T!\NoFG$"3yBxZ%)yF97FG7$$"3)G.b'R(Rz&pFG$"3>O3V[_sG7FGF^ax7'7$$"3iQO^1(>4G(FG$"3a)G3DF8wL"FG7$$"37<&\()RAfX(FG$"3'fRlp^-()="FG7$$"3!*4\Icq)fN(FG$"3HqdIS+Q97FG7$$"3]`1f_$z+[(FG$"3OhMAU_]F7FGFcbx7'7$$"3%3go=2QW"yFG$"3rkNC%=S$Q8FG7$$"3/B>M7c.vzFG$"3!)>,B0c(z="FG7$$"35b3'pJ8w(yFG$"32>hx$33X@"FG7$$"3T$R0G8<H+)FG$"3:=;J**GbE7FGFhcx7'7$$"35C\#z_UnM)FG$"3pCc?]B*)Q8FG7$$"3qpHBNFO&\)FG$"3#)f!o#RMU(="FG7$$"3bkyCqM2+%)FG$"3W")GoiTk97FG7$$"3;OepivHE&)FG$"3'[)4By1zD7FGF]ex7'7$$"3GzY]XM6y))FG$"3(3Nv0NA$R8FG7$$"3V%e+mRBm,*FG$"3kL$)*)QM*p="FG7$$"31iOlKZ;B*)FG$"3U?Ia#\zZ@"FG7$$"3M5XQ#\0,0*FG$"3N8_()Qx;D7FGFbfx7'7$$"3zv+p9Fv3%*FG$"3(4*HN_VmR8FG7$$"3%ybijq:'Q&*FG$"3a$p?rV^m="FG7$$"3=7eciTuY%*FG$"3WYv&G%)4\@"FG7$$"3E%Rf_#\Du&*FG$"3o#)HBn&\YA"FGFggx7'7$$"3`/F$[x3)Q**FG$"3=y$pwJT*R8FG7$$"3!*Hn^A">h+"Few$"3K1V!=Zuj="FG7$$"3k*R[;Y32(**FG$"3U48MFL.:7FG7$$"3]i-K$3o)45Few$"3)QS;6,7UA"FGF\ix7'7$$!3G@$=Y-*=SwF7$"33@BOGd]X8FG7$$"3G@$=Y-*=SwF7$"31ubzM&*f'\"FG7$$"39F`,Slui5F,$"3%*)oXVic"e9FG7$$!3q[6&f8&oj>F7$"3Y;E)y!php9FGFajx7'7$$"3Sz!fKi9DH%F,$"3#3C:AvrwM"FG7$$"3B/Y@m6!QB'F,$"3IaE%4^LW\"FG7$$"3B/%*oGw+DkF,$"3clgcL)y`X"FG7$$"30FwisH*>?&F,$"3-K#QE[Q*p9FGFf[y7'7$$"3!=kp<Ml_G*F,$"3w]JH8eV^8FG7$$"3asxrBmtw6FG$"3OWZ')\%p1\"FG7$$"3'*[9?y:,"="FG$"3["*Q#\g;7X"FG7$$"3/@^sZN)\1"FG$"3?_%R;OK)p9FGF[]y7'7$$"3M!e]0O9%=9FG$"3?1,!3<'\e8FG7$$"3(\_"Hw.[R<FG$"3%*)ydB44O["FG7$$"3\9IzGz4A<FG$"3$G%[mu8[W9FG7$$"36z#G3;Pyh"FG$"3c8a%eKh&o9FGF`^y7'7$$"3KeBo([_")*=FG$"3%4:S`)yMs8FG7$$"3*[62"GQP7BFG$"3=Wx"yPd(p9FG7$$"31v+ul&zKE#FG$"3dzzy.V8L9FG7$$"3C9an))\5#=#FG$"3IO)>V!4?k9FGFe_y7'7$$"35Vz6(z'G!Q#FG$"3M2YoiNh(R"FG7$$"3[)*)=w4rG)GFG$"3z(Gt/q"\W9FG7$$"3u$e'3i4f$z#FG$"3!fs_YP&\:9FG7$$"3C$ois%e_aFFG$"3[(H!>(>*=`9FGFj`y7'7$$"3=w=;QW*o*GFG$"33Z$\^QT6V"FG7$$"3`LB_N]*)=MFG$"31[&3!yQ'4T"FG7$$"3sJTN'HruH$FG$"3Qu(\STddR"FG7$$"3?J"Qc)eG9LFG$"3q3=&)eu!\V"FGF_by7'7$$"3!*))o!4h1GX$FG$"3/&fBxnZ'e9FG7$$"3)*)oC<W9c"RFG$"33+VV&edMQ"FG7$$"3-.X'>S%3%y$FG$"3+*[(GC9Q#Q"FG7$$"3A#e0A"GuYQFG$"39C))f6?4<9FGFdcy7'7$$"3:HX**G;)z,%FG$"3kH\*H$y'[Z"FG7$$"3v<We-52.WFG$"3]lH;IuBn8FG7$$"3!HOSjq][F%FG$"37`8UW#*4w8FG7$$"3MK.q3FakVFG$"3w%fSu%4)\S"FGFidy7'7$$"3I3C=q^ewXFG$"3W#f!fmFn$["FG7$$"3u1RMS!*4(*[FG$"3q-tc'\K%e8FG7$$"3Q)eWgIAbx%FG$"3U%\!HS&GNP"FG7$$"3Ui1t(>*))z[FG$"3!og_03nvR"FGF^fy7'7$$"3e%36R(e;F^FG$"3W*[#409k)["FG7$$"3g)fib"*\"*R&FG$"3q0a1eQY`8FG7$$"3E.6El'RRG&FG$"3'R:SRDJDP"FG7$$"311q6@we'R&FG$"3]<S1d+$HR"FGFcgy7'7$$"3#[!*pRc5;n&FG$"35LBE!)*Q;\"FG7$$"3^Y6X/oL2fFG$"3-ib*GGm/N"FG7$$"3#H:m!>'yuz&FG$"3U9wVM8>s8FG7$$"3^i%QN`A^"fFG$"3k2PZ-3()*Q"FGFhhy7'7$$"3#ft)4;at6iFG$"3Q]VG=jc$\"FG7$$"3a$op7`V)>kFG$"3wWN([%*Q&[8FG7$$"3/ZsRI(eVJ'FG$"3g1"fzBM@P"FG7$$"3m^i!\([@NkFG$"3iFpfYBu(Q"FGF]jy7'7$$"3/E(\fzF)[nFG$"3O9Mr3U([\"FG7$$"3chgOIFQNpFG$"3w![WW0JsM"FG7$$"3o+#>8UuM$oFG$"3c3o(\#4?s8FG7$$"31z*4KQ5l&pFG$"3oL!e]a#>'Q"FGFb[z7'7$$"3YMZ"[$4v$G(FG$"3U+?<U?!e\"FG7$$"3G@%[/<"4`uFG$"3s%*e)4A.jM"FG7$$"3W1)o%en8atFG$"3+!Q&R1/Ks8FG7$$"31GsX4">(yuFG$"3c1z1C4-&Q"FGFg\z7'7$$"3%R$))pPZ3<yFG$"3#=lLQs%['\"FG7$$"3%**o6l%*)QszFG$"3IVUKR0iX8FG7$$"3oDh4AX!f(yFG$"3#RNqbofCP"FG7$$"3?mR&enC;+)FG$"3)zJJ7]2TQ"FGF\^z7'7$$"3'f0'fChA\$)FG$"3%\uncV-q\"FG7$$"3%y$=cQ"zG\)FG$"3?],\FG5X8FG7$$"3sj$)HXe[)R)FG$"3;3JMpIgs8FG7$$"3XEI6_)o]_)FG$"31U0RXqP$Q"FGFa_z7'7$$"3W,#=r7`/)))FG$"31u!*))*30u\"FG7$$"3Fiq)\r$G9!*FG$"32@)oK<+ZM"FG7$$"3,I3<%\"o@*)FG$"3o>F\5Jus8FG7$$"3UvVN"fN*[!*FG$"3?%)Ge//y#Q"FGFf`z7'7$$"3.k*H-3l4T*FG$"3o<fn=]s(\"FG7$$"3hpE#3M.k`*FG$"3Yx>[W-QW8FG7$$"3At&Q[]^`W*FG$"35Or?Fk(GP"FG7$$"3'p&om;)QJd*FG$"39*e^nH%G#Q"FGF[bz7'7$$"3uT@Aa!34%**FG$"3_`e,)*Q)z\"FG7$$"3='yxX>4f+"Few$"3hT?9l87W8FG7$$"37,"zR*\Rp**FG$"3!p`[Zo,IP"FG7$$"3L%RPrPh(45Few$"3'e@:mZl=Q"FGF`cz7'7$$!3%3[]p#p,ivF7$"3:')*>7rHL]"FG7$$"3%3[]p#p,ivF7$"3g>@iD]ca;FG7$$"3y=z!z*Q!*e5F,$"3<8:(o5]hh"FG7$$!3zw_w()Q!R,#F7$"3")Q>EKJ\F;FGFedz7'7$$"3c<%pet#*=I%F,$"3G>xboaX0:FG7$$"3imUg`IUCiF,$"3['Q%Go#RCl"FG7$$"3%HM*yGbh?kF,$"3KmeY`oS8;FG7$$"3/<r1J0v&>&F,$"3yx)[3$e#yi"FGFjez7'7$$"3GPu-&4tgH*F,$"33bY3<"e"4:FG7$$"3+$*>R[elv6FG$"3o]uv>mt[;FG7$$"3sd%Gl[U0="FG$"3:&*[En,H4;FG7$$"3ihWjnqAk5FG$"3*))e"o2QuF;FGF_gz7'7$$"3X]#=P-Y&>9FG$"3!zAT6+Jh^"FG7$$"3'[&Q78([$Q<FG$"3'y(3qNPwT;FG7$$"3-H?!*yGn@<FG$"3qw#H*\$3Eg"FG7$$"3"RlNM$*yph"FG$"3%ppM;b=li"FGFdhz7'7$$"3CEX`-7/**=FG$"3M5^:.W!*H:FG7$$"3*p%\D8^[6BFG$"3U&*poL.*zi"FG7$$"3KWl*[_dIE#FG$"3cnj8guG"f"FG7$$"3o1LX\#>8=#FG$"3=*RSMv?Ai"FGFiiz7'7$$"3K3P#4xP0Q#FG$"3!es+N\n_b"FG7$$"3ELJ"Q7?E)GFG$"3'*z8MVsi-;FG7$$"3kz["[L\Oz#FG$"3!fI)[oaat:FG7$$"39MVhwG=aFFG$"3$G,b\k,7h"FGF^[[l7'7$$"3%ePM-zUp*GFG$"3m$Q9/2["*e"FG7$$"3*Q$)\MoY)=MFG$"35AxUmmuo:FG7$$"3cW2*4f]tH$FG$"3#=ZjRI#f`:FG7$$"3OH'z4w^VJ$FG$"3OJY&f4NFf"FGFc\[l7'7$$"39TB6"y*R`MFG$"3meE;p"poh"FG7$$"3tO#>:F@]"RFG$"34Z%zwcD5a"FG7$$"3mI\\'yvMy$FG$"3^H*)=$QN,a"FG7$$"3')R4t(yym%QFG$"3mY%p\*pvu:FGFh][l7'7$$"3))\T.#*)))*=SFG$"3F:P[.^3L;FG7$$"3-(zW&RP1-WFG$"3[!ReLj4[_"FG7$$"3IW@&H#3,uUFG$"3w\0^`m)Q`"FG7$$"3)["**Q"QSUO%FG$"3I[Q2nshi:FGF]_[l7'7$$"3)e``Q;<xd%FG$"3+Mu%[xE=k"FG7$$"39zFnYq'f*[FG$"3vrY*>'z1;:FG7$$"3MS#*\?WmuZFG$"3U;!fI<h8`"FG7$$"3Cv)47Vj%z[FG$"3wf/F9*H_b"FGFb`[l7'7$$"3S6n`2IGG^FG$"3+(Q(H2ttY;FG7$$"3yrp$>yK!)R&FG$"3x=ZaHu:6:FG7$$"3[cF)oiQJG&FG$"3*)e')f<dRI:FG7$$"3q8LMe=7'R&FG$"3Gy'y1&pi]:FGFga[l7'7$$"3glO1%QlEn&FG$"3KdMf\8p\;FG7$$"3s&QdV)>G1fFG$"3W['[sQ.#3:FG7$$"3u&oj!*=\nz&FG$"3(*3x;2e2I:FG7$$"3LE5NCel9fFG$"3)zt*=_qfZ:FGF\c[l7'7$$"33AIVsur7iFG$"333Twvre^;FG7$$"3Q(RN\Zh)=kFG$"3o(*z2hvI1:FG7$$"3%HI)R;op8jFG$"3=0nA?6.I:FG7$$"3fh+(>;jZV'FG$"3K$Q9/#>\X:FGFad[l7'7$$"3QbL8=(R(\nFG$"3[t;<q?(Gl"FG7$$"3AKC=33ZMpFG$"3FK/nmE-0:FG7$$"3H#4WeVrG$oFG$"3g/_j&e0,`"FG7$$"3yE^4s#zg&pFG$"3X&)))Q</'Ra"FGFfe[l7'7$$"3[!o"oK$*f%G(FG$"3E,Y$fy#y`;FG7$$"3Gv9esFC_uFG$"3\/v!4&>6/:FG7$$"33g2AbSe`tFG$"31OgC3+BI:FG7$$"31um2^(4$yuFG$"3r?&QiE.Ga"FGF[g[l7'7$$"33z%HU(o(y"yFG$"3yWD]TCXa;FG7$$"3#[/")*4ofrzFG$"3(4cR`HUM]"FG7$$"3)eA*QtXRvyFG$"3Zj/X`CPI:FG7$$"3;!Qe=OO7+)FG$"3)4$=j[9!>a"FGF`h[l7'7$$"3qF7wp(o*\$)FG$"3')em;H+'\l"FG7$$"35mmR$\O@\)FG$"3!pWvwqMH]"FG7$$"3/r`P%R7!)R)FG$"3V*eYc'y^I:FG7$$"3s9ZGi,qC&)FG$"3AZ#>\W!=T:FGFei[l7'7$$"3iUWoLA:")))FG$"3=`RrhYNb;FG7$$"35@3U3Ye8!*FG$"3d_"G^2SD]"FG7$$"3Gq(3QTR7#*)FG$"3Ro&)e*=f1`"FG7$$"3%4FIE!\e[!*FG$"3#oz$p<;fS:FGFjj[l7'7$$"3L8$3IwD;T*FG$"3?<dSC"ocl"FG7$$"3J?V/eEuN&*FG$"3b)QOChEA]"FG7$$"3Bf()o)fO\W*FG$"3crEr!H$zI:FG7$$"3Om)H`_/Gd*FG$"3">PSy0-,a"FGF_\\l7'7$$"3KgX6sY`T**FG$"3#)[GN6<#fl"FG7$$"3KW&)yKl%e+"Few$"3$pD*[DI(>]"FG7$$"3]dU^7Q+p**FG$"3=Cr5%**=4`"FG7$$"32DnSQ%H(45Few$"38S**G$z)oR:FGFd]\l7'7$$!3A.-m:lOewF7$"3]IZVo<Jh;FG7$$"3A.-m:lOewF7$"3)ee"4UCP7=FG7$$"3'*eNVF"RO1"F,$"3%R$*z>2BRx"FG7$$!3MN!pq>)*>&>F7$"3-CMv@1T&y"FGFi^\l7'7$$"3s">"))RiL!H%F,$"3oB>k#>([j;FG7$$"3!>\#f\&zfB'F,$"3p#R%)y,(>5=FG7$$"3QtW([NEgU'F,$"3'pyhlCP6x"FG7$$"3>+R&yZWM?&F,$"3u@YQr&Hdy"FGF^`\l7'7$$"3'*4phX$fFG*F,$"33(>))ealsm"FG7$$"3iXILBs)p<"FG$"3H>"QYm=k!=FG7$$"3Ocy!f6?6="FG$"3;xeMdW'pw"FG7$$"3iaih$=f^1"FG$"3sGP+/yh&y"FGFca\l7'7$$"35WgZsF:=9FG$"3gR(\!RhMu;FG7$$"3@hgOk>uR<FG$"3wwlZr!Q$*z"FG7$$"3!3wqP$e>A<FG$"3#RE$fHp@g<FG7$$"3**H<3!*e.=;FG$"35:])*=hL%y"FGFhb\l7'7$$"3[4No3"[z*=FG$"3/Fl<zc@)o"FG7$$"3=kf52#yDJ#FG$"3M*y\8`oay"FG7$$"3W^HCz,LjAFG$"3%G"e^US')[<FG7$$"3AL_wNhG#=#FG$"3'p\(*)*Hh*z<FGF]d\l7'7$$"3[SsyI%H-Q#FG$"3x.:$3YeMr"FG7$$"37,'\RYGH)GFG$"3g7[p\dAg<FG7$$"3=$>:5IxNz#FG$"3J'y&*37\7t"FG7$$"3%*odHgXgaFFG$"3UjHQ[:&*o<FGFbe\l7'7$$"3oVTl-M)o*GFG$"3#fC&4J^!pu"FG7$$"30m+.rg!*=MFG$"3Xq5Vz!zns"FG7$$"3#3xGJ**)\(H$FG$"3&otrtkg:r"FG7$$"3M<*[GqqUJ$FG$"35J**\ZBr]<FGFgf\l7'7$$"33FRcM1n_MFG$"31ksVF<Ou<FG7$$"3y]w1=/v:RFG$"3I_!*3$[A$*p"FG7$$"3C!fK@NCUy$FG$"3gZ#zTY.#)p"FG7$$"3%**4cd0dn%QFG$"3yE?%zWMHt"FGF\h\l7'7$$"3#3eMEe\x,%FG$"3#=`W%)[#e!z"FG7$$"33mV%*[II.WFG$"3a%y"3A<5$o"FG7$$"3'f'y?AY/vUFG$"3KdshNP">p"FG7$$"3#\:5v#>hkVFG$"3O"\!fX-$3s"FGFai\l7'7$$"3)R:&y)\Bjd%FG$"3o/S$>*=S*z"FG7$$"3/h6u62O(*[FG$"3o6Bf=BGu;FG7$$"3G3rog4svZFG$"3U0EO0EL*o"FG7$$"3K&=0=F()*z[FG$"3#fIMjR5Mr"FGFfj\l7'7$$"3&4bXE32p7&FG$"3XQ6![&RQ/=FG7$$"3AK"Goq3%*R&FG$"3#z<DdD+$p;FG7$$"3w*[M**\DTG&FG$"3mpvdBzK)o"FG7$$"3IdW;\_p'R&FG$"3Nj7RXbw3<FGF[\]l7'7$$"3-)f`C(eOrcFG$"3[m_0M;R2=FG7$$"3I`u'f\"e2fFG$"3))\5ZwDHm;FG7$$"3q%e!HR![wz&FG$"33u(oEL$)zo"FG7$$"3BKuF(eI_"fFG$"3L8BV/&*p0<FGF`]]l7'7$$"3:en#eR2:@'FG$"36QBw0jK4=FG7$$"3Jh;a^:2?kFG$"3EyRw/zNk;FG7$$"3*zoLoe7XJ'FG$"3u;tUGL#zo"FG7$$"3facm(e>`V'FG$"3[Mf5Scc.<FGFe^]l7'7$$"3/T7wDfh[nFG$"3m&=lsbR1"=FG7$$"3dYXb+YfNpFG$"3qI6E`Y/j;FG7$$"3%>&>I`YhLoFG$"35T0/(=))zo"FG7$$"3[k'QmS5m&pFG$"3-R+l(e6?q"FGFj_]l7'7$$"3IhkdLPb$G(FG$"3Ak>5'Qr:"=FG7$$"3W%p'or$)G`uFG$"3;_VUCG6i;FG7$$"3;%GhQMlUN(FG$"3?#p,L]1")o"FG7$$"3A%Hf_99)yuFG$"3$)f*f6gO3q"FGF_a]l7'7$$"3.vlR^0!p"yFG$"3ZfHr5rD7=FG7$$"3')[R"G8tD(zFG$"3!pN8)*4F9m"FG7$$"3cxSR#>Bg(yFG$"3QSKGL]C)o"FG7$$"3)ouV"o[r,!)FG$"3GV&*)oZ?**p"FGFdb]l7'7$$"379c?,M0\$)FG$"3nfU3*=xF"=FG7$$"3ozA&>'=0$\)FG$"3sc?W@q!4m"FG7$$"3Myl:Wgf)R)FG$"37Wy(\$zQ)o"FG7$$"3xZ<><X:D&)FG$"3)Q%Q`>y=*p"FGFic]l7'7$$"3YNr"p\!H!)))FG$"3'oB&G><=8=FG7$$"3EG")=XjW9!*FG$"3_z5C"\-0m"FG7$$"3J'\-qS%y@*)FG$"3iE+Ypw_)o"FG7$$"3#\HRq4<!\!*FG$"3E^.3e$*e)p"FGF^e]l7'7$$"3Pnf_j8"3T*FG$"3j/$H3;.N"=FG7$$"3Fmm_dqbO&*FG$"3u6qp\5=g;FG7$$"3q+'*>."[aW*FG$"3=#fspzg')o"FG7$$"3mxJ9Hl@t&*FG$"3]WE-C<4)p"FGFcf]l7'7$$"3!H(R,WAwS**FG$"3kk0ryKw8=FG7$$"32.')fvP#f+"Few$"3u^d"=$4#*f;FG7$$"3?\'Rt2'[p**FG$"31")REXfy)o"FG7$$"3jK&3L!)o(45Few$"3[&)=m3;n(p"FGFhg]l7'7$$!3jw>")Q_zRzF7$"3M>i`'\o%>=FG7$$"3jw>")Q_zRzF7$"3m2Vn(=0+(>FG7$$"3GrO2=DTx5F,$"3\*Qj:>e9$>FG7$$!3kl1x!3*fq<F7$"3d2;U%)yOV>FGF]i]l7'7$$"3CE5y'=BnD%F,$"3!3'RI'>"z@=FG7$$"3SdEp-EfpiF,$"3?ml!z[#on>FG7$$"3%f7+A(RnTkF,$"3i-sTOyaG>FG7$$"3$*z]%)3K"fA&F,$"3")Rl.dVkV>FGFbj]l7'7$$"3C,zYjjIW#*F,$"3jnUbd7zD=FG7$$"3qYza@D$3="FG$"3OfilECoj>FG7$$"3SP)*zQXx#="FG$"3)3D6@/8U#>FG7$$"3WW[@J_'y1"FG$"3\P8]$=VM%>FGFg[^l7'7$$"3k$G%edr<99FG$"3%3$zD,*zJ$=FG7$$"3n@yDzvrV<FG$"39'f_Hy$Hc>FG7$$"3H_"ydVnOs"FG$"3`:L')z5G<>FG7$$"38JfOMD2@;FG$"3uI))[6m*>%>FGF\]^l7'7$$"37#*fb&***)[*=FG$"3eb,\@sIZ=FG7$$"3a"[L-KOcJ#FG$"3Tr.sik;U>FG7$$"3U%\\EvmSE#FG$"3s%pst%3&e!>FG7$$"3uZw&\Q<]=#FG$"3`1Ns@oSP>FGFa^^l7'7$$"3/sIK>kQzBFG$"3'f8k$*)[=s=FG7$$"3apPTv9x$)GFG$"3."RY[z)G<>FG7$$"3cj()R,AO$z#FG$"3]3ODt!4'))=FG7$$"3G%)o\8cxbFFG$"3%4TgC&zVE>FGFf_^l7'7$$"3ol&f3%>s'*GFG$"3th&Qe\:W!>FG7$$"3/WY#G`n!>MFG$"3El>P)=e])=FG7$$"3u]x**\3"zH$FG$"3Y4qn37mp=FG7$$"3mZKbR>/9LFG$"3K!Ru!Gr$)3>FGF[a^l7'7$$"3%o5E&e`l]MFG$"3n=55L\6J>FG7$$"3/ra5%plx"RFG$"3K3&46ve$e=FG7$$"3Cu,.k#=jy$FG$"3/Nq**)G%fc=FG7$$"3)fw*o:%[p%QFG$"3Q([lTcF;*=FGF`b^l7'7$$"3Eu5Vb"fU,%FG$"3q>TxfyKZ>FG7$$"3lsy9wMz1WFG$"3G2kVCe9U=FG7$$"3Y))4pa9)zF%FG$"3I!elgO)>]=FG7$$"35\d!3:LcO%FG$"3AS$>,WQ'z=FGFec^l7'7$$"3=^`$QHYBd%FG$"3o"*QX'zfj&>FG7$$"3'Q'4p;zL,\FG$"3INmv()Q6L=FG7$$"3qmu(*ymvyZFG$"39I1'QAgu%=FG7$$"3]Y=*Ggh9)[FG$"3A,[d&fM@(=FGFjd^l7'7$$"3E%*zYqu%H7&FG$"39)[pnPX:'>FG7$$"3#*)o0!>$oLS&FG$"3&)Q5W2$Gz#=FG7$$"3wEFZX;)pG&FG$"37"HD(p9MY=FG7$$"3GMkC.#H$)R&FG$"3A=cOLIPn=FGF_f^l7'7$$"3#GEmz%fgncFG$"3Oh@jy%3Z'>FG7$$"3])ya/UT8"fFG$"3kl$yb?lZ#=FG7$$"3ZBWgX9E+eFG$"3=y$[FtBf%=FG7$$"3$)>f")R3)o"fFG$"3y<]=$*Q?k=FGFdg^l7'7$$"3V`Vq0O*z?'FG$"3IE9c>pvm>FG7$$"3.mSmT`eBkFG$"3r+"\Yw;F#=FG7$$"3^AQSI;*oJ'FG$"3Q"R!)Go<e%=FG7$$"3Ug2$G4DpV'FG$"3#)pt2jq)>'=FGFih^l7'7$$"3%QYA@]W`u'FG$"35_;z%z`"o>FG7$$"3xBL>Cg')QpFG$"3!\()=%*))>8#=FG7$$"3x+\r"f'yNoFG$"3!Rk)Q0L&e%=FG7$$"3k[b_z"["epFG$"3ceRa>uOg=FGF^j^l7'7$$"3ibMPIW]!G(FG$"3'=T***y"["p>FG7$$"37+(*)[nPjX(FG$"39:6@0bK?=FG7$$"3u#oKL@fiN(FG$"3I.<e7G&f%=FG7$$"3#GEc"3"y-[(FG$"3o@/#fIS"f=FGFc[_l7'7$$"3'=<hnW\S"yFG$"3ewxLv;))p>FG7$$"3/_$\uBCa(zFG$"3T]F()3?f>=FG7$$"3UMB-w['y(yFG$"3U%>$\@"zg%=FG7$$"3()*=VZE1J+)FG$"3%z![zIA=e=FGFh\_l7'7$$"3mv<?XvPY$)FG$"31X%o3)*Q/(>FG7$$"39=h&zrFd\)FG$"3&>3ULqM!>=FG7$$"3**>RSTtI+%)FG$"39f'3&fS@Y=FG7$$"3z))ensvZE&)FG$"3yM_YA`Td=FGF]^_l7'7$$"3cQS9*Qpx())FG$"3K5pymI(3(>FG7$$"3:D7'HXnp,*FG$"3n;OU<1g==FG7$$"3'4./UL$QB*)FG$"3CX<RU'[j%=FG7$$"3Sun+UqF]!*FG$"3=M!yr\)yc=FGFb__l7'7$$"3vFH">@F%3%*FG$"3ubNGq$=7(>FG7$$"3*eqR"47%*Q&*FG$"3Erp#RJb#==FG7$$"3U-v.$\\pW*FG$"3I&H#>7&yk%=FG7$$"3c*)zm1(=Wd*FG$"3e.V)>1ni&=FGFg`_l7'7$$"34oO@!y*\Q**FG$"3kb@bV!)\r>FG7$$"3bL'y>-]h+"Few$"3Or$e1kvz"=FG7$$"3azsdv@!4(**FG$"3-3MT*p,m%=FG7$$"325A8^P))45Few$"3)zN"QKn#e&=FGF\b_l7'7$$!3.h[q%)3gQ%)F7$"3EQu6fK&y(>FG7$$"3.h[q%)3gQ%)F7$"3#*)Hx()*)4u7#FG7$$"3h#H#z;1h,6F,$"3_^7!e)4q)3#FG7$$!3'=Xlq8ZpW"F7$"3()3$Gr))e85#FGFac_l7'7$$"39RE"HW#o(>%F,$"3UxRg5XW!)>FG7$$"3[W5cYLjGjF,$"3)*f2HZ'=[7#FG7$$"3[1%G_%y#)okF,$"3YGq*Qmpb3#FG7$$"3K?_]R+rl_F,$"3V"Rucz^:5#FGFfd_l7'7$$"3;4Gq5wvx"*F,$"3W;&odAQ[)>FG7$$"3#fXCoR([(="FG$"3_?i7K\U?@FG7$$"3-!*>uvve&="FG$"3sI^vi`&43#FG7$$"3_Osx`')fs5FG$"3,%pOat$=,@FGF[f_l7'7$$"3=()Hw-mY29FG$"3)e*zGrou#*>FG7$$"37="zS8G/v"FG$"3HTng'G;D6#FG7$$"30]%ouqygs"FG$"3ovn6!RCP2#FG7$$"3R&\p8'3FE;FG$"3M&[l\]Y%*4#FGF`g_l7'7$$"3K>*=j-G**)=FG$"3^m)R_L]s+#FG7$$"38a0Z*G)f?BFG$"3mq[lAG,)4#FG7$$"3#z<Ca9t^E#FG$"3spO$G.7A1#FG7$$"3%z+X#Rx`*=#FG$"3GU+d-B^%4#FGFeh_l7'7$$"3;q&*Q/w2yBFG$"3#[d39TT9.#FG7$$"3UrsM!H!3&)GFG$"3Oih[Y<#Q2#FG7$$"33)oR=YpHz#FG$"3cEK1MNjX?FG7$$"3[)pTf^_wv#FG$"3Ua+^N(eO3#FGFji_l7'7$$"3A__klQZ'*GFG$"3Y.7&RV(oh?FG7$$"3^d*Q!3cJ>MFG$"3rLN%RsvN/#FG7$$"33hWV/0d)H$FG$"3lCp%)e/*y-#FG7$$"3P>v5'fjOJ$FG$"3Y_k_*e.r1#FGF_[`l7'7$$"31L)H"4:YZMFG$"3;MhLS:5(3#FG7$$"3![u,Naf4#RFG$"3-.'evhh"=?FG7$$"3Wbd2W#>(*y$FG$"3$fs%Qs8L:?FG7$$"3w(pB(z"pr%QFG$"3o>E'\sV30#FGFd\`l7'7$$"3T`YLT0_3SFG$"3ncn)y<HK5#FG7$$"3\$HW-4KDT%FG$"3]!)z+!)R.-?FG7$$"3OepEej*GG%FG$"3Bs)\*\Hz3?FG7$$"3i0E$)*oDsO%FG$"3:&4=h"Q4R?FGFi]`l7'7$$"3?HRoX;jlXFG$"3(er$f`ee7@FG7$$"3$eQU[c_!3\FG$"33@5I/tn#*>FG7$$"3K_"4cOaRy%FG$"3-#=(G#[(z0?FG7$$"3C)R'oc"yQ)[FG$"3OmSA^!z9.#FGF^_`l7'7$$"37I#4LDYh6&FG$"3DaLh466=@FG7$$"31`W;O&p,T&FG$"3#HQ"G[?:()>FG7$$"3k%GXDNX>H&FG$"3zCmmV'zW+#FG7$$"3vg_l.z2,aFG$"3km2))*QJl-#FGFc``l7'7$$"37F-m<Y2hcFG$"3>P"GP(Ra@@FG7$$"3?C3w]F(y"fFG$"3)**fmT=>P)>FG7$$"3r*z#QGt%[!eFG$"3K6KV'>HR+#FG7$$"3'33%o>8q>fFG$"3UcdTc!*=B?FGFha`l7'7$$"3y?>?:L%=?'FG$"3WH'[7V%zB@FG7$$"3o)\m@jN(HkFG$"3'z5Ymso9)>FG7$$"3:ETH@J4@jFG$"38i#4P=PP+#FG7$$"3\h&H^(ypRkFG$"3Q0;[2"H3-#FGF]c`l7'7$$"3Y`61<zeRnFG$"3Ka7t$*>MD@FG7$$"3:MYD4EiWpFG$"3'G[jT;@*z>FG7$$"3(*f0"RGR'RoFG$"3$=]nj*or.?FG7$$"3op.b3L#3'pFG$"3$H,#G)\%4>?FGFbd`l7'7$$"3wC[e"*z6vsFG$"3ta**4X-XE@FG7$$"3+J$yO6C<Y(FG$"3m#y%z7H")y>FG7$$"372D*z92)ftFG$"3:(3(H.'zP+#FG7$$"3#p"oCe#QG[(FG$"3***4aC1vx,#FGFge`l7'7$$"3yT'R!*f)**3yFG$"3peq]K8FF@FG7$$"37#)3<&3v/)zFG$"3[ywQD=*z(>FG7$$"35rCDU&\6)yFG$"3i2_^=9)Q+#FG7$$"3C?'=:8\b+)FG$"3$30v\:Un,#FGF\g`l7'7$$"3M,,F!oE;M)FG$"3)=8VeE(*y7#FG7$$"3Y#z()Gey/])FG$"3I0;0#*eOx>FG7$$"3t>ZOJZO.%)FG$"3<]f9W***R+#FG7$$"3ufw&Ga2)G&)FG$"35xA%o$Q"f,#FGFah`l7'7$$"3)p&pq7bGt))FG$"3v=O6kgQG@FG7$$"3u1$)RH8X@!*FG$"3k=6y$4xo(>FG7$$"3WqHX^PCE*)FG$"3)[[d*HN7/?FG7$$"3ka+tE7]_!*FG$"3?O$4i'fB:?FGFfi`l7'7$$"3+Sk_O5=/%*FG$"3C6TD%ov(G@FG7$$"3k$>EXQ(=V&*FG$"3;E1ktu[w>FG7$$"3ipMF1#Q'\%*FG$"3[tEO+hC/?FG7$$"3)QP^%[]aw&*FG$"3FbEYw:n9?FGF[[al7'7$$"3i^#3^ylW$**FG$"3%>p%3r<4H@FG7$$"3>v"*[@Mb15Few$"3YX+"oQrh(>FG7$$"3]()RlS-Wt**FG$"3ZWx2bXO/?FG7$$"3E>;U*Q(355Few$"3`2:J(o%>9?FGF`\al7'7$$!37Nuim&)G<#*F7$"30"o#3v*zl8#FG7$$"37Nuim&)G<#*F7$"3umi\cEZ%G#FG7$$"3FBr"*f!G)Q6F,$"3)\!oG&)*RbC#FG7$$!3UsdF'=&4h$*Figp$"3[Yn8=fOfAFGFe]al7'7$$"3:"z3'*HSp5%F,$"3/Fg)R72'R@FG7$$"3[#*[')*[v$>kF,$"3w?Hf2bW"G#FG7$$"3z&*=0]=r4lF,$"3AP1xk\1UAFG7$$"3KYW**>`sF`F,$"3'yb(pG#3%fAFGFj^al7'7$$"3'p-4X*e+y!*F,$"34Sw5t3hW@FG7$$"3-MQWoDY(>"FG$"3q28Ze<WwAFG7$$"3wSC$fWy'*="FG$"3***)pK5s.PAFG7$$"3%40'zu$>)z5FG$"3'*f9ve=weAFGF_`al7'7$$"3y%)4cf'4yR"FG$"3#*3WeuvD`@FG7$$"3_?6Gx]3g<FG$"3))QX*p0&znAFG7$$"31xsb*4u$H<FG$"3eioYO;THAFG7$$"3tN)[v>ERj"FG$"3usez#H#ecAFGFdaal7'7$$"3AH0uT"4K)=FG$"33fsO]#f"o@FG7$$"3XW*[S<<tK#FG$"3q)o67Q$*GD#FG7$$"3EQ)*R_3ZmAFG$"3]0/`_Q*y@#FG7$$"3wYhpw!fe>#FG$"3qON&\&>?^AFGFibal7'7$$"3_3!G")H9kP#FG$"3C-T%))G;7>#FG7$$"31L)3mfVn)GFG$"3aX[tUj$)HAFG7$$"3'\+N:vXBz#FG$"3t(e+r]PB?#FG7$$"3u=FHtB;gFFG$"3W\m[/AhSAFGF^dal7'7$$"3YujG'4jh*GFG$"3,#)[TCYt=AFG7$$"3ENyRxji>MFG$"3ylS;2!=B?#FG7$$"3KvAO&*HX*H$FG$"3IR#=gVUi=#FG7$$"3^bzt4N88LFG$"3y)f,@=-bA#FGFceal7'7$$"3JTwKcIGVMFG$"3fj#)fzQGUAFG7$$"3cORI'*z8DRFG$"3?%o!)>vo(y@FG7$$"3u()p00([Vz$FG$"3!=$>C?1Xu@FG7$$"33P;2yzFZQFG$"3!Q:S2u*e5AFGFhfal7'7$$"3lafOTSf+SFG$"3U:G!oUJ"eAFG7$$"3D#*H@!fe/U%FG$"3OKhx/7#H;#FG7$$"3=Mg+BV))*G%FG$"3OM"Q>!**yn@FG7$$"3-P\puhApVFG$"3=i;5V(z#*>#FGF]hal7'7$$"3]z.pwb'fb%FG$"3gXN4/$pyE#FG7$$"3bNf$Qj=x"\FG$"3?-a[FL=`@FG7$$"3UDI!f(4h"z%FG$"3-kD9IyWk@FG7$$"3ayk2BE=()[FG$"3a![G%4$z:>#FGFbial7'7$$"3H\)3AGyg5&FG$"3A@'Rf(o'QF#FG7$$"3*Q$[E2vB?aFG$"3cE$Rcv&=Z@FG7$$"3Y#y1(RiV*H&FG$"3G4(*y^?$G;#FG7$$"3;Gq&*RQ+0aFG$"3%y!*oO*RR'=#FGFgjal7'7$$"3eb"yrhB7l&FG$"3!R]3@`,xF#FG7$$"3u&*GC^PsFfFG$"3*QWq%*4^L9#FG7$$"3u.zCp.)="eFG$"3c8:Om+2i@FG7$$"30aH6j!RQ#fFG$"3CpjTwv!G=#FGF\\bl7'7$$"3c1r()zrW#>'FG$"3#)oC]G]E!G#FG7$$"3)GJ"\n<8RkFG$"3(*yk2.wyS@FG7$$"3R>[m$R2wK'FG$"3K&Gf%zYth@FG7$$"3[5)>:eQQW'FG$"3%3NIN-O-=#FGFa]bl7'7$$"36?.?6HrInFG$"3CB/$G9_?G#FG7$$"3[na6:w\`pFG$"3bC&[()[+!R@FG7$$"3GJn&fXec%oFG$"3q$ytRl<;;#FG7$$"3IZ;pn"o['pFG$"3y>uw1lKy@FGFf^bl7'7$$"3I>VlW#enE(FG$"3_iq'[jWLG#FG7$$"3YO)31'Q3quFG$"3F&)=r'*zqP@FG7$$"3A'**z3k!QltFG$"3?FY?VXhh@FG7$$"3u5$4g]Wn[(FG$"3?;7SkR'o<#FGF[`bl7'7$$"3(=&pk(R?6!yFG$"3kx=Ok#4VG#FG7$$"3-sNc'G`$))zFG$"3:qq@nLuO@FG7$$"3IL,`'QIj)yFG$"3)zg(z(3r;;#FG7$$"3pRT[n>I4!)FG$"3gajYaNrv@FGF`abl7'7$$"3F!z)Rsx=M$)FG$"3k)\V&R([]G#FG7$$"3`."f2\<z])FG$"3;\a.#*Q+O@FG7$$"3'f*4f$)=?3%)FG$"3[C#eO=e<;#FG7$$"33Q5=BfSK&)FG$"31[_`7zyu@FGFebbl7'7$$"3#=c/WJVi'))FG$"3aK_lA(GcG#FG7$$"3!>q+x_$\G!*FG$"3D:P#*3RUN@FG7$$"3qG\-()*z2$*)FG$"33h1/A)f=;#FG7$$"3IEX8l1&f0*FG$"3ery.)eGS<#FGFjcbl7'7$$"31BY)4!f\(R*FG$"3'>C["HE4'G#FG7$$"3e5!o+_s)\&*FG$"3$eqIC+g\8#FG7$$"3a(y,l35RX*FG$"3M$fMF0n>;#FG7$$"31N(*4UR&)z&*FG$"3%p%e;*H&Rt@FGF_ebl7'7$$"3wPiPw?5G**FG$"3s+D1Q+Z'G#FG7$$"3ewBO#z*=25Few$"33Zk^$f#eM@FG7$$"3UwuAu(yu(**FG$"3CgyhX[2i@FG7$$"33_#oW;0/,"Few$"3=D9;M&fG<#FGFdfbl7'7$$!3)pLFX9C'Q5F,$"3eI_&Hk#)eH#FG7$$"3)pLFX9C'Q5F,$"3#y#zIi%f4W#FG7$$"3ClzvWMP$>"F,$"3R_!f%G(f<S#FG7$$!3WNXy%)\+g:Figp$"3]ipi!4RtT#FGFigbl7'7$$"3[d!fqftT(RF,$"3'fy:+h#f*H#FG7$$"39EYT#>U@b'F,$"3WstC&\\sV#FG7$$"3%G87T(fcnlF,$"3%4p5J_yxR#FG7$$"3)e"*[QED/U&F,$"3'y&ed(G8rT#FGF^ibl7'7$$"3m(of\UVx$*)F,$"3FvP@b2[0BFG7$$"3'zw)R:))[67FG$"39$Q\+Nh8V#FG7$$"3+')f2i=:&>"FG$"3GXF24J>#R#FG7$$"3[Y'zjO^-4"FG$"37b/a%p@gT#FGFcjbl7'7$$"3)=^0cON]Q"FG$"3)R$ykK&\]J#FG7$$"3W$fO7PfGx"FG$"3VC`hsDz@CFG7$$"3tD7ix#pLt"FG$"3)G!>LE'QTQ#FG7$$"3I$)\JWnTW;FG$"3!RBanUDKT#FGFh[cl7'7$$"3K<'zc#p.v=FG$"3Pv9L23=IBFG7$$"3!f&)4,R*[NBFG$"3/$oJzHhmS#FG7$$"3KT`Ly`mnAFG$"3))Hrd=e$GP#FG7$$"3u,&ohjJR?#FG$"3j(R4MvptS#FGF]]cl7'7$$"3e3r)G#eauBFG$"3W*\G&>v[^BFG7$$"3+L(\=27'))GFG$"3'*eYt&ea`Q#FG7$$"3y!=G<uC9z#FG$"3k9qZmYueBFG7$$"3="Qcl=-Kw#FG$"3G6#\^j*H(R#FGFb^cl7'7$$"3Obnpz)>e*GFG$"3%)y<b0idvBFG7$$"3Pau)Rfp*>MFG$"3cz8r**eEhBFG7$$"3cHMcC__+LFG$"3%f!R_d&3ZM#FG7$$"3")G/Vz/X7LFG$"3U3d4'y>SQ#FGFg_cl7'7$$"3quOc!y>%QMFG$"3g2F]=ei'R#FG7$$"3<.z1s7+IRFG$"3z]/w'G;-M#FG7$$"37./f&ym+!QFG$"3#o80F+&*RL#FG7$$"3=]*3(GZ2ZQFG$"3Cazc9O'3P#FGF\acl7'7$$"3OiV65Rp!*RFG$"3"Hn`7I==T#FG7$$"34%ek9se.V%FG$"3]&[4S!Q-DBFG7$$"3A$*zmBT+*H%FG$"3E$RkM$zKFBFG7$$"3I#[r8(GLrVFG$"3EgcJ%z-.O#FGFabcl7'7$$"3@E0T6I<VXFG$"3p;?I$*=(=U#FG7$$"3$))y:"*>60$\FG$"3sT6'>@q\J#FG7$$"3,z#)Gaw5-[FG$"3)3JfG#**eBBFG7$$"3S2!R()Q#>"*[FG$"3i0s$pGSEN#FGFfccl7'7$$"3!4e%R4/>#4&FG$"3C58r(pP%GCFG7$$"3G-"z+QDTV&FG$"3<[=b2WS3BFG7$$"3RcbT;/35`FG$"3Cfcz:)p:K#FG7$$"3#y5:#e"3,T&FG$"3[)*pfQ\@ZBFGF[ecl7'7$$"3jK7-VqBPcFG$"3D'3))H2<GV#FG7$$"3p=)*RD.rTfFG$"3;s]FK]-/BFG7$$"3)yNuddE@#eFG$"3c_:&*y:\?BFG7$$"3qN&ojF`%HfFG$"3kY*H^2FLM#FGF`fcl7'7$$"3;U#z2)=$)yhFG$"3S()e'o7MeV#FG7$$"3Ix"*emqu_kFG$"3+rsRyz+,BFG7$$"3(*=)yt7lsL'FG$"3*oXYj(o#*>BFG7$$"37mE5^-i\kFG$"32-AG:0ZSBFGFegcl7'7$$"3Pehz??m<nFG$"3Q*R-Z^$)zV#FG7$$"3CH'>b][l'pFG$"3-f2c!fe))H#FG7$$"37'**>DG%paoFG$"3i*=NqxY'>BFG7$$"3%ep/$><jqpFG$"36]%*QjKJQBFGFjhcl7'7$$"3a"Qie4IVD(FG$"3)GZ#)>-j&RCFG7$$"3Au2S4?^#[(FG$"3_&o!G$3zsH#FG7$$"3G)f*[,U#QP(FG$"3uf&*)yjF&>BFG7$$"3!Qv2/:%R#\(FG$"34R\S"GTmL#FGF_jcl7'7$$"3g;h;R0J*y(FG$"37#\g08c2W#FG7$$"3H2W/XJ;+!)FG$"3GmEquf3'H#FG7$$"3i#z]^)HB%*yFG$"3Y8y^45]>BFG7$$"3]ZcO[9z9!)FG$"3!\oe\&\JNBFGFd[dl7'7$$"3NrG!)zU'HK)FG$"3*Rw]"z#z;W#FG7$$"3YA]N$)49>&)FG$"3U%R7h#G;&H#FG7$$"3/))*G!f*=cT)FG$"3'H4IB%z_>BFG7$$"3OHwA.grP&)FG$"3H/l4&>TUL#FGFi\dl7'7$$"3o.nU(*Qcb))FG$"3_-YTB'3CW#FG7$$"3.g&yY%H<R!*FG$"3)eb[=[LWH#FG7$$"3,;:(36kx$*)FG$"3**4y]+de>BFG7$$"37AK%)Gn2h!*FG$"37*p^!zjNLBFGF^^dl7'7$$"3=0YKsgJ(Q*FG$"3@2oA=a*HW#FG7$$"3WG!G([B0g&*FG$"3?^j.(oYQH#FG7$$"3%\@&=V&30Y*FG$"3'3^4Usg'>BFG7$$"3m%f5D:*z%e*FG$"3Un(R\%fhKBFGFc_dl7'7$$"3"3w0s"*y$=**FG$"3Irg,z]ZVCFG7$$"3FC%z#3@;35Few$"35(3Zi-nLH#FG7$$"3Oj]@&4LP)**FG$"3"z:!z"zW(>BFG7$$"3e@*=RJ#)3,"Few$"30%H4U&z)>L#FGFh`dl7'7$$!3pU(49,`O@"F,$"33I5Q-cEcCFG7$$"3pU(49,`O@"F,$"3%*QjcwfO'f#FG7$$"3?M])3Sx=F"F,$"3%*>(*>e4$pb#FG7$$"3@)GTn#GuV5F7$"33m3P`d8vDFGF]bdl7'7$$"3OiP*)R#eOy$F,$"3WRjMUn-hCFG7$$"3D@*z&\vlUnF,$"3eH5gO[g"f#FG7$$"3W!f:$*z!4YmF,$"3YE"*[-wB_DFG7$$"3sO)fQ,Szb&F,$"3Us<J(4IWd#FGFbcdl7'7$$"39!HzC?w&[()F,$"3-t[^Fh5oCFG7$$"3r2okPbSI7FG$"3-'\K9XDXe#FG7$$"3rIm42_$>?"FG$"33?!H:)o)fa#FG7$$"3eW>$Q5>\5"FG$"3+ORLvHlsDFGFgddl7'7$$"31,8?!=]#p8FG$"3a%zC*=vhyCFG7$$"3C/3kcXk)y"FG$"3]uD-gS,uDFG7$$"3@58Qp:fP<FG$"32K,!R"GjPDFG7$$"3iE)*z^W4e;FG$"3+&4L@R(3pDFGF\fdl7'7$$"3/-"H5plf'=FG$"3O,H&fxnM\#FG7$$"3Tr.wC1cWBFG$"3mnW*H!Q;fDFG7$$"3%=dxm7:$oAFG$"3K=J*e)G*p_#FG7$$"3ImiZP%oN@#FG$"3)Q'H#f]()Gc#FGFagdl7'7$$"3=)zUUn]EP#FG$"3x+r!pD=A^#FG7$$"3SVS\?s]!*GFG$"3Eo-/ALTSDFG7$$"3g<r:Lf8!z#FG$"3Xw"*)3H*)[^#FG7$$"3SWhaX+kmFFG$"3%)>!e=`GPb#FGFfhdl7'7$$"3iYS#y)zZ&*GFG$"3)4T1SsOA`#FG7$$"34j,'e[6.U$FG$"30e4%\&[R?DFG7$$"3lvaB)eZ<I$FG$"3#oMC'QuF.DFG7$$"3,(ocC"eh6LFG$"3?bq(4&*REa#FGF[jdl7'7$$"3qJ$QI'4HLMFG$"3E(\C%)Q6,b#FG7$$"3<YKf*3I^$RFG$"3yrG_!>?D]#FG7$$"3![^[d1\m!QFG$"3[(*=()>]+%\#FG7$$"3%G?LtR3j%QFG$"3Q;NOaHkJDFGF`[el7'7$$"3g>$>rRU$zRFG$"3Qjqa^C.kDFG7$$"3JF'fWB5<W%FG$"3k0.SF"*f)[#FG7$$"3/<WZ4T<5VFG$"3q$z]s7#f([#FG7$$"3[[+$H@NIP%FG$"3#pJ^]rpA_#FGFe\el7'7$$"3uQAC-[NFXFG$"3A%*>_"*p4uDFG7$$"3IwSG3%Hj%\FG$"3![PDueM&yCFG7$$"3w#G<o2,e"[FG$"3q-u42H^$[#FG7$$"3YlWc8kV&*[FG$"3GS0b-g$\^#FGFj]el7'7$$"33.2xE_)R2&FG$"3S#>xFv'>"e#FG7$$"37!)Hqi0L_aFG$"3iw,<E[VrCFG7$$"34Yl`eAoC`FG$"3?;_FI5,"[#FG7$$"3$)f!42`]hT&FG$"3hO,ZIpQ4DFGF__el7'7$$"3_"4t&4R4=cFG$"3+&3d3^Eie#FG7$$"3!)fz%)eM&3'fFG$"3/%G!4o]SmCFG7$$"3R"pH%Q#=n$eFG$"3e95L)o$\zCFG7$$"3')e`tS%pl$fFG$"3mHm_a1?0DFGFd`el7'7$$"3!z!fz)3&ffhFG$"3]<W)R1`)*e#FG7$$"3e6DdeQ)>Z'FG$"3a^H'\^yFY#FG7$$"3S!p#>x>S^jFG$"39*3.IQw&yCFG7$$"3;z0rMuHdkFG$"3TMjtSb+-DFGFiael7'7$$"3kWM=M.y)p'FG$"35`D\Wo_#f#FG7$$"3'HMK@>Ia)pFG$"3#f"[XMZ5gCFG7$$"3I;i?)z#>ooFG$"3)pe5EfD!yCFG7$$"3q'*4dcXaypFG$"3;an&>LC&*\#FGF^cel7'7$$"39rA`rF-OsFG$"3?YT(HrVXf#FG7$$"3h%)3tL$>3](FG$"3#GAtf'y3eCFG7$$"3YP"*Q$fKmQ(FG$"3I0-R_:qxCFG7$$"3&)RKA*zX.](FG$"3M,^b%Hhv\#FGFcdel7'7$$"3iEfpH*p;x(FG$"3;=,$RF)4'f#FG7$$"3E(f9Xv.y,)FG$"3'3D<]ILlX#FG7$$"3!oLyy9ij!zFG$"3i#yD())*>vZ#FG7$$"3^e!R')GmE-)FG$"3!H=(eD+)f\#FGFheel7'7$$"3mSaWLW,1$)FG$"3w%Rl'R.K(f#FG7$$"39`CrH34O&)FG$"3Eu>GR7JbCFG7$$"3`gZAqt5F%)FG$"3]:raY#HuZ#FG7$$"3SV4@(G[aa)FG$"3ETrEw\o%\#FGF]gel7'7$$"3'oR,79$HR))FG$"3%)3BZp")H)f#FG7$$"3'o'Q!4qVa0*FG$"3=g]Z4MLaCFG7$$"3O0AI:/m[*)FG$"3Ia!Q$[qRxCFG7$$"3kYKj[5jo!*FG$"3kRdJS$3O\#FGFbhel7'7$$"3cwv-u\pr$*FG$"3)R0D_,$4*f#FG7$$"33d]-ZMnv&*FG$"3/:Bsj&QNX#FG7$$"3Es'QS7j3Z*FG$"3?IP9MGSxCFG7$$"3%[&4H+&e@f*FG$"3'4a='>7q#\#FGFgiel7'7$$"3>`(RM9qL!**FG$"3?o'fuD[(*f#FG7$$"3/Dgl&)Hm45Few$"3#3q([@L)GX#FG7$$"3q')f'z<%f$***FG$"3=2\htKVxCFG7$$"3PH4Yi")f65Few$"3-W*)4_x#>\#FGF\[fl7'7$$!3%[Nx$)Q!zy9F,$"3[*R*)*=q!*=EFG7$$"3%[Nx$)Q!zy9F,$"3=!=UO.9&\FFG7$$"3#pTg6E^EQ"F,$"3C6*yv&e95FFG7$$"3%GZsQs%fUHF7$"3frXS8xKKFFGFa\fl7'7$$"3U61&[:2_^$F,$"30fhMDX>DEFG7$$"3@sIiM'36,(F,$"3g?aGFlAVFFG7$$"3w*o]+xBgu'F,$"37S:q=Ac/FFG7$$"3[t,*QvBCw&F,$"3aL)*zz9yIFFGFf]fl7'7$$"3eo!fc8.k])F,$"3E3?\9xgLEFG7$$"3))H)GV%Gia7FG$"3Sr&R"QL"[t#FG7$$"3NE0gqqK47FG$"3K-['HL_xp#FG7$$"3_BU*30*)\7"FG$"3$=-sF-^!GFFGF[_fl7'7$$"3QX!3xf<8N"FG$"3VFeBBgfWEFG7$$"3$*fS8Rrd1=FG$"3A_dRH]#Qs#FG7$$"3-$[')HkA5u"FG$"3g/&zN@*f*o#FG7$$"3aXl=r%)*\n"FG$"3xbk=zOuBFFGF``fl7'7$$"3Aq-3Da)o&=FG$"3umWi[]7eEFG7$$"3C.#42*3k`BFG$"3!H62S+'H5FFG7$$"3+]%4c2GyE#FG$"3)*e2(3Ls.o#FG7$$"3,XsXzANCAFG$"3(*GHz!**Gwr#FGFeafl7'7$$"33sV(o$=#4P#FG$"3w$Q"*Qc_Ln#FG7$$"3]pC'y0OA*GFG$"3)e>S()[o]p#FG7$$"3Ch.??lT)y#FG$"3#eq1)pv"3n#FG7$$"3K%ofh"*>.x#FG$"3383QOh"*4FFGFjbfl7'7$$"3e;51Z9<&*GFG$"3UKo-$*eu)o#FG7$$"39$>Bm-=1U$FG$"3AZZgf^nzEFG7$$"3[pe!G.wII$FG$"3['ykUyM>m#FG7$$"3"QFCt(\j5LFG$"3\\>txKM,FFGF_dfl7'7$$"3^Xc.FsUGMFG$"3dB6a1$pFq#FG7$$"3OKffDQ**RRFG$"33c/4Y<llEFG7$$"3<`z)yvqP"QFG$"3;TO@'=/Xl#FG7$$"3T4NEe?qWQFG$"3Kic5"orGp#FGFdefl7'7$$"3Q`<ga,cnRFG$"3I!4!)=-QXr#FG7$$"3_$>xpZ#\`WFG$"3M*[^2.$)Ql#FG7$$"3gnE3I@,BVFG$"3[K$e%fFz[EFG7$$"3)*oJ-czbtVFG$"3S!\OOoP_o#FGFiffl7'7$$"3(*4xIg&p$4XFG$"3_NYbFi!Rs#FG7$$"330'=-l9V'\FG$"38Wp2D[^WEFG7$$"3&ex))yROF$[FG$"3gCA0FJkWEFG7$$"3O=N&***e*))*[FG$"3KTbz3SwyEFGF^hfl7'7$$"3#)ef%>r2;0&FG$"32Q;+5m;JFFG7$$"3QCx_x!3ZZ&FG$"3eT*HEWasj#FG7$$"3;WMb"4uRM&FG$"3p6xef2sTEFG7$$"3!)e)H5BMAU&FG$"3KWj+(G`Mn#FGFcifl7'7$$"3c()=F?a/$f&FG$"3;@86$QZnt#FG7$$"3wj"\"[>!f)fFG$"3]e-_pOnJEFG7$$"3')>o&3Ilq&eFG$"3A=[.w1pREFG7$$"3Ps$\)GniWfFG$"3!QhDc"\:pEFGFhjfl7'7$$"3ta$ejpdJ8'FG$"3wsR\+10TFFG7$$"3uk+,^7U)\'FG$"3!pgP@Xqti#FG7$$"3=**p<VE(>P'FG$"3z;Q$Ha&GQEFG7$$"3SP19+hqmkFG$"33&pK&4.olEFGF]\gl7'7$$"3og5@2J"=n'FG$"3!pu6Cs*RWFFG7$$"3"ps/">uR7qFG$"3vK)>-L@Si#FG7$$"3iRQ8*3,&))oFG$"3(40]\57tj#FG7$$"3!\VgfT;)))pFG$"31w?MGf&Gm#FGFb]gl7'7$$"30DWfe%p!4sFG$"3mPn%HDQqu#FG7$$"3pI(omksx_(FG$"3+U[o*z#Q@EFG7$$"3%zuCN%\T1uFG$"3%zE%zLmjOEFG7$$"3h%*HC@y76vFG$"3yS)**GPR0m#FGFg^gl7'7$$"3K'[A())31XxFG$"3K/![]aW"\FFG7$$"3cP!)[&z7W/)FG$"3LvNe2lF>EFG7$$"3'HiGU_*[DzFG$"3aBe(f1ohj#FG7$$"3/8By))GrL!)FG$"3qRK)*e%>'eEFGF\`gl7'7$$"3;vos0<%*z#)FG$"3'y1hw?[3v#FG7$$"3k=5VdN;i&)FG$"3z60(\%Gd<EFG7$$"3!fBSILHbW)FG$"3#zvyz[Wej#FG7$$"31lBGN@fc&)FG$"3gol&o76ql#FGFaagl7'7$$"33=d7()4'Q"))FG$"3'o38%\OC_FFG7$$"3kX&z\&e(33*FG$"3z#\=KSxhh#FG7$$"3i2W/r6Pm*)FG$"3h+X7_NiNEFG7$$"3U.*R&4(f(z!*FG$"37QN@n'\cl#FGFfbgl7'7$$"3=!Qk5k_pM*FG$"33')y<q,S`FFG7$$"3Y`#))*zdT+'*FG$"3d$p`C)3-:EFG7$$"3%=vGTO")y[*FG$"3,NdP4gZNEFG7$$"3%[CKsV(>.'*FG$"3UD]zWd[aEFGF[dgl7'7$$"3ot1f"zK$z)*FG$"3!HW.&p"pVv#FG7$$"3*H$4%3sm?,"Few$"3uO"GJ)=09EFG7$$"3`]w%Q7&*4+"Few$"3([@XhU"QNEFG7$$"3g#fX5B)o75Few$"3E9mS2:[`EFGF`egl7'7$$!3Q&)[D%)GGw=F,$"3onZ=/#\ny#FG7$$"3Q&)[D%)GGw=F,$"3eA58A8Y(*GFG7$$"3k!GsW0H^_"F,$"3y^q$QK>%fGFG7$$"3cA#oer!GDgF7$"3Cv35nNc()GFGFefgl7'7$$"3o'>)[0z!)fJF,$"3S6Fz6/m%z#FG7$$"3'p[&)R)y]mtF,$"3')yI_9,b*)GFG7$$"3="\#\$Q/6&oF,$"3G,KKm2B`GFG7$$"3#4VR2'oNggF,$"3sI>;;5y%)GFGFjggl7'7$$"3_\*eLj%>G#)F,$"3sN"o^[TO!GFG7$$"3yT)eXpVCG"FG$"3aaw9T!p0)GFG7$$"3?]^xx_)\@"FG$"3+mW/GynYGFG7$$"35^b7")*y3:"FG$"3!p='QX'\6)GFGF_igl7'7$$"3wq0wOJdL8FG$"3y;wjmfd8GFG7$$"3bM:3+;KC=FG$"3[t"y'fXjqGFG7$$"3^+C#[&e%=u"FG$"3>2V`Wz()RGFG7$$"3_.')GFqH%p"FG$"3))zLGzSowGFGFdjgl7'7$$"3o\:Ab/-\=FG$"3Nm6v()e7CGFG7$$"3yBzcge]hBFG$"3#Rik&QY3gGFG7$$"35$=#QGB`lAFG$"3'G$4%z8"3LGFG7$$"3!=I/FqmbB#FG$"3!4">MVv^rGFGFi[hl7'7$$"3?T,CKhapBFG$"3*[@mx%G"[$GFG7$$"3O+n\i<h$*GFG$"3Qv&\&ywR\GFG7$$"3oz*f!Q_A'y#FG$"3Y#)G#*3veEGFG7$$"3ezrS772uFFG$"3yC@>JC*e'GFGF^]hl7'7$$"3IO*=O4J\*GFG$"3/N'>A3Q^%GFG7$$"3Vt_1!Qe3U$FG$"3Abh4WC2RGFG7$$"3=rc>LWY/LFG$"3q"pI+Uj1#GFG7$$"3P/>jJ">&4LFG$"35nT^mz5gGFGFc^hl7'7$$"38M_?`@UCMFG$"3/5Kr*R)paGFG7$$"3uVjU**))*R%RFG$"3B!e-m77&HGFG7$$"3"fz-O&H,@QFG$"31.Wq')4[:GFG7$$"31@$GX^,?%QFG$"3m')4nU#\W&GFGFh_hl7'7$$"31EQv+>)p&RFG$"3Y_I)3+\K'GFG7$$"3'37D3tqSY%FG$"3#ytKa_h4#GFG7$$"3z@K=(*HmOVFG$"3?NbI,756GFG7$$"3U%[e+c->P%FG$"3O#)3cjG8\GFGF]ahl7'7$$"3kPr:>eb"\%FG$"3uh2_UDqqGFG7$$"3Sx"p8RG@)\FG$"3`G]z$)z]8GFG7$$"3sz&\xC&3_[FG$"3`e2a(\%\2GFG7$$"3/C5-!QZ(**[FG$"3PhmXSuGWGFGFbbhl7'7$$"3.ggtysCF]FG$"37s:)[t)3xGFG7$$"39Bwt5&o!*\&FG$"39=UV"z@r!GFG7$$"3O.]RCLwn`FG$"3!*)zYGywX!GFG7$$"3&48,16pgU&FG$"3A;pCvL'*RGFGFgchl7'7$$"37)e_$GGQjbFG$"3ig^8U^]#)GFG7$$"3?j%o+akb,'FG$"3kH1=%Q0<!GFG7$$"3S0f)=w(*R)eFG$"3b[LuIAC-GFG7$$"3O"o9N*3L^fFG$"3\R?7fe:OGFGF\ehl7'7$$"3ILNeHI]*4'FG$"3S,!ei]xq)GFG7$$"3<')[y<f2KlFG$"3'))yd+-Lrz#FG7$$"3R.@*4FW4S'FG$"3$*o^C*3&Q+GFG7$$"3o!G#\4!)*eZ'FG$"3Jq-'e0GG$GFGFafhl7'7$$"3AwsGJ/KNmFG$"3eaX-bW$4*GFG7$$"3Q6&G]4!*)[qFG$"3mN7HrgF$z#FG7$$"3'3nZIke'=pFG$"3ANB?p3"*)z#FG7$$"3:.@\H1/+qFG$"3&z#H)RfG*HGFGFfghl7'7$$"3%QZLy.s1<(FG$"3)y*>=(G%>%*GFG7$$"3!>oHu1qhc(FG$"3Q#zL"Ri,!z#FG7$$"3$[M:ArMrV(FG$"3)*Rb0s-u(z#FG7$$"3m:bD_(\R_(FG$"3ob_FCESFGFGF[ihl7'7$$"3!3%4%yqyaq(FG$"3CrP8+(fp*GFG7$$"33$epj(\*R3)FG$"3->?=E3D(y#FG7$$"3?zM[p<LczFG$"3a&*y2M"4oz#FG7$$"3kQ*46$evZ!)FG$"3bVv@ay>DGFGF`jhl7'7$$"3mL$4]s9(R#)FG$"3Sas@bpJ**GFG7$$"39g&["Q0R-')FG$"3'e`)4rN*[y#FG7$$"3e1*>7^#>w%)FG$"3)QEkuhmgz#FG7$$"3WR)=8LX:d)FG$"3y0(\MInK#GFGFe[il7'7$$"3us!o;l'Qt()FG$"3FhhyirL,HFG7$$"3)4>P/>]87*FG$"3+H'HNOtGy#FG7$$"3G/"R!eRl'**)FG$"3QJ?s&*GZ&z#FG7$$"3?#)Gv!zt`4*FG$"3E:(H6;q:#GFGFj\il7'7$$"3cYt!4M>lI*FG$"3zOF7g$yI!HFG7$$"33(GX,3\3k*FG$"3[`I>m@8"y#FG7$$"3+\F:aOl<&*FG$"3'H6Jk#p*\z#FG7$$"3l%[FC[v#>'*FG$"3LeR(olr+#GFGF_^il7'7$$"33'3)Q;q9R)*FG$"3d%*RD0xe/HFG7$$"3v">h$)H&3;5Few$"3q&zh5#GizFFG7$$"3r%R#o*G8R+"Few$"3;ePOQXh%z#FG7$$"3nW<.IqK95Few$"3WXb!f[U(=GFGFd_il7'7$$!3!)RG(z[u7Q#F,$"3?_k]_aRmHFG7$$"3!)RG(z[u7Q#F,$"3p[N\ZXgLIFG7$$"3-y#oPG!>I;F,$"3\0x#Hz$>,IFG7$$"3sS"4A\9,2"F,$"3[)HZ-"H"p.$FGFi`il7'7$$"3E<#f'p4'oy#F,$"3Go;**=@GtHFG7$$"3OmW")>[XRxF,$"3hK$35)yrEIFG7$$"3Iz>+1e$)*)oF,$"3a(*fAskd'*HFG7$$"3\Rk>*yPXW'F,$"3#=;-h#4sLIFGF^bil7'7$$"3qFVBUJr$)zF,$"3W%H&)yhW'zHFG7$$"3&RIrO%=*oI"FG$"3W1Z6#Qb.-$FG7$$"3U$G))ytcP@"FG$"3qtGDB<Z#*HFG7$$"3')R/.,6$)z6FG$"3.k9'Hw51.$FGFccil7'7$$"3%[aA0(z>?8FG$"3]Qt8?*4c)HFG7$$"3Zg&>jw'pP=FG$"3RiE')z+R9IFG7$$"3qF9kBnkP<FG$"3G)\ewy_())HFG7$$"3kdO?dKm8<FG$"3BuKM(>lv-$FGFhdil7'7$$"3-euUPntV=FG$"3En1w5FA"*HFG7$$"3U:?Oy&*ymBFG$"3jL$R#*Gx(3IFG7$$"3sA(=Tsf3E#FG$"3oua(*H@O&)HFG7$$"3AM)>(34BYAFG$"3Rmb/$4"fCIFGF]fil7'7$$"3wH)*pT(z'oBFG$"3A^n)GL+l*HFG7$$"3#=,PI:yW*GFG$"3n\K6n'*\.IFG7$$"3Iyh#p%eb$y#FG$"3wtcPEoE#)HFG7$$"3m&4/%oIsxFFG$"3VifA2<q@IFGFbgil7'7$$"33gnaB8y%*GFG$"3Y=_%\\^9+$FG7$$"3j\u8]"35U$FG$"3W#ya]][&)*HFG7$$"3^L8-@r'eI$FG$"3IVc![^V%zHFG7$$"3%HOj#ziG3LFG$"3)\%**zE0"*=IFGFghil7'7$$"3$p%=Z:^$=U$FG$"3kPU*zd$31IFG7$$"3%4tfr$feYRFG$"3Cjd+Ak"R*HFG7$$"3)QerKS/z#QFG$"35CptKD(o(HFG7$$"3eX'G**pV!QQFG$"3Y:NOW)Gi,$FGF\jil7'7$$"3cQ")e-Um\RFG$"3geXYSaS5IFG7$$"3O33**G%)QrWFG$"3IUa`fXf*)HFG7$$"3]_]9?1w\VFG$"39z_$*)eNX(HFG7$$"3C;$>4-.rO%FG$"3Uza"f!\m8IFGFa[jl7'7$$"3=7`?6j6yWFG$"3uCJiD#GW,$FG7$$"3'G+@$**yc&*\FG$"3;woPu<d&)HFG7$$"3s,U$G#G^r[FG$"3?<JyW\TsHFG7$$"3e3%Rb')fb*[FG$"3<%z"*Q"QA6IFGFf\jl7'7$$"3#)4M5-412]FG$"3%R9q6El"=IFG7$$"3Pt-P()[D>bFG$"3'p&)H)QZ$=)HFG7$$"3=8=+>RA$R&FG$"3/6A?`K\qHFG7$$"3a&Q&Ga$*\BaFG$"3vDs4-y!*3IFGF[^jl7'7$$"3*)\T1CpQObFG$"3A+L$)z:j@IFG7$$"3V,pNW/cUgFG$"3o+n;?%o$yHFG7$$"3G@]+YV%\"fFG$"3gOb)>m`(oHFG7$$"3g?01zp*4&fFG$"3/$\2gn;n+$FGF`_jl7'7$$"3%3x*)Qw+g1'FG$"3<ag_HL%[-$FG7$$"3k['yM=ybc'FG$"3sYRZqm:vHFG7$$"3!GMVZs8nV'FG$"3AR9[%**zr'HFG7$$"3!>V`RF>"ykFG$"3([g]4I[Y+$FGFe`jl7'7$$"3-uYqeU#ef'FG$"3kke%o?<y-$FG7$$"3c86hniQ)3(FG$"3EOT:$z#=sHFG7$$"3W3KueCcepFG$"3#oc:<#pvlHFG7$$"3O")H:qW#\+(FG$"30]NQs!*p-IFGFjajl7'7$$"3_.7VmFzDrFG$"3%))yTR(*p0.$FG7$$"3B_>$)Q$\5h(FG$"317#eg-I%pHFG7$$"3'e-%yIK^![(FG$"3c#\1;4qW'HFG7$$"3[tON(=j9`(FG$"3m[l`MV'3+$FGF_cjl7'7$$"3[;?%3L`el(FG$"3hlr@y!=J.$FG7$$"3`1&oLN?O8)FG$"3GNGy@>)o'HFG7$$"3B/Y?gBe-!)FG$"3W%Qop?1L'HFG7$$"398KBd"zx0)FG$"3?rylL(Q"**HFGFddjl7'7$$"3'*y[))zH'f=)FG$"3d,!QHPxa.$FG7$$"3#[,tKGUhl)FG$"3K**>1FE_kHFG7$$"3ZKxb+5yC&)FG$"3'e'oHcIDiHFG7$$"3G+WXb*4Re)FG$"39w40/l^(*HFGFiejl7'7$$"353$yW=(3;()FG$"3(z]qm#HmPIFG7$$"3gbpid'\'y"*FG$"3#H\HL2PB'HFG7$$"3C5bDsh6Z!*FG$"3Y$=Di]*HhHFG7$$"3+djq;x))4"*FG$"3GK8r"p"*f*HFGF^gjl7'7$$"3C,h)3\)>Y#*FG$"3M(G#z0*)oRIFG7$$"3SKl;I*p6q*FG$"3a8x?%46.'HFG7$$"3+))H!fj"fp&*FG$"3OhpclaVgHFG7$$"3KmMA7)Rdj*FG$"3y$*H^B$eX*HFGFchjl7'7$$"3MQ*zwKvix*FG$"33&foT^o:/$FG7$$"3_1?BnCPA5Few$"3!eSJe[J%eHFG7$$"3Z(\+>'3A45Few$"39*=T+$=lfHFG7$$"3:j_fZ*[h,"Few$"3u)>*)3`5K*HFGFhijl-%&COLORG6&%$RGBG$F.!""F[[[m$"#5F\[[m-F&6%7S7$F-$"""F.7$$"3emmm;arz@F,$"3;]CZ'RBG="FG7$$"3[LL$e9ui2%F,$"3!4_9L"\#pL"FG7$$"3nmmm"z_"4iF,$"3sKU))z@**)\"FG7$$"39ommT&phN)F,$"3CtSd/O0Y;FG7$$"3KLLe*=)H\5FG$"3M0sKvNHu<FG7$$"3smm"z/3uC"FG$"3GCs?))ypw=FG7$$"3!****\7LRDX"FG$"3sYI,"o\m'>FG7$$"3%om;zR'ok;FG$"3;3&)[4fqV?FG7$$"33++D1J:w=FG$"3z/!pxZUe5#FG7$$"3oLLL3En$4#FG$"3k8l([[Jg:#FG7$$"3#pmmT!RE&G#FG$"3+Wy^.I%)*=#FG7$$"3D+++D.&4]#FG$"3&*)R,'f"Gt@#FG7$$"3;+++vB_<FFG$"3\s8g!yZXB#FG7$$"33+++v'Hi#HFG$"3Tr$\VKS>C#FG7$$"3&om;z*ev:JFG$"3n<kRe!p6C#FG7$$"3_LLL347TLFG$"30OCWgb>JAFG7$$"3nLLLLY.KNFG$"3)o?![<A2:AFG7$$"33++D"o7Tv$FG$"3cvdQYpJ(=#FG7$$"3?LLL$Q*o]RFG$"3%RB._DAW:#FG7$$"3m++D"=lj;%FG$"3>]H3v0%*3@FG7$$"3S++vV&R<P%FG$"3QjaG5G0c?FG7$$"3CML$e9Ege%FG$"35*e)Gh`T!*>FG7$$"3]LLeR"3Gy%FG$"3$ov2(y&e.#>FG7$$"3emm;/T1&*\FG$"3cknS+N/M=FG7$$"3=nm"zRQb@&FG$"3"fkXK%\hK<FG7$$"3:++v=>Y2aFG$"3MJbo<(p\j"FG7$$"3Znm;zXu9cFG$"3))p7Kk`o?:FG7$$"34+++]y))GeFG$"3A/e]%ewYR"FG7$$"3H++]i_QQgFG$"3%\N5>3\fE"FG7$$"3b++D"y%3TiFG$"36EZO>2)*Q6FG7$$"3+++]P![hY'FG$"3e'yA+$fR()**F,7$$"3iKLL$Qx$omFG$"3aE-H$o+\w)F,7$$"3Y+++v.I%)oFG$"3$HI2"3POGvF,7$$"3?mm"zpe*zqFG$"3a\$GFz*)))['F,7$$"3;,++D\'QH(FG$"3E)Q$))33ObaF,7$$"3%HL$e9S8&\(FG$"3+![C&4G:)e%F,7$$"3s++D1#=bq(FG$"31Ujt(f*>#z$F,7$$"3"HLL$3s?6zFG$"3')>>%3iw)>JF,7$$"3a***\7`Wl7)FG$"3P*=V+yA4_#F,7$$"3enmmm*RRL)FG$"32L-av[QO?F,7$$"3%zmmTvJga)FG$"3=jX2$HZTi"F,7$$"3]MLe9tOc()FG$"3izEA[K$zG"F,7$$"31,++]Qk\*)FG$"3b_y=S_'R."F,7$$"3![LL3dg6<*FG$"3i(R]"*)**oyzF77$$"3%ymmmw(Gp$*FG$"3%**p?^?$y&G'F77$$"3C++D"oK0e*FG$"3MOmL*p&\T[F77$$"35,+v=5s#y*FG$"3UF2J,WpYPF77$$F^[[mF.$"32!=c@F]Z#GF7-Fhjjl6&FjjjlF][[mF[[[mF[[[m-%*THICKNESSG6#""#-%+AXESLABELSG6'Q"x6"Q%y(x)F^[\m-%%FONTG6$%*HELVETICAGF^[[m%+HORIZONTALGFd[\m-%*GRIDSTYLEG6#%,RECTANGULARG-%%VIEWG6$;$!"&F\[[m$"$0"F\[[m;$!#:!"#$"2/++++++:$Few-%,ORIENTATIONG6$$"#XF.Fj\\mF`[\m-%*LINESTYLEG6#F.-Fhjjl6#%%NONEG-%+PROJECTIONG6#F][[m

Maple's dsolve gives a more complicated result. de := diff(y(x),x)=sin(y(x))*(2-sqrt(x+1)); ic := y(0)=1; simplify(dsolve({de,ic},y(x)));

NiM+JSNkZUcvLSUlZGlmZkc2JC0lInlHNiMlInhHRiwqJi0lJHNpbkc2I0YpIiIiLCYiIiNGMSokLCZGLEYxRjFGMSNGMUYzISIiRjE=NiM+JSNpY0cvLSUieUc2IyIiISIiIg==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

g2 := unapply(rhs(%),x): plot(g2(x),x=0..10);

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

evalf(g(1)); evalf(g2(1));

NiMkIitqT05ZPCEiKg==NiNeJCQiK2lPTlk8ISIqJCIrXkk9dSEqISM+

;

;

;

NiMqJiUieEciIiIsJiUiYUdGJUYkRiVGJQ== NiQvKiYlI2R5RyIiIiUjZHhHISIiKiYtJSNsbkc2IyUiYkdGJiUieUdGJi8tRi42I0YmRiY= de := x*(a+x)*diff(y(x),x) = y(x)*ln(b); ic := y(1)=1; desolveSV({de,ic},info=true);

NiM+JSNkZUcvKiglInhHIiIiLCYlImFHRihGJ0YoRigtJSVkaWZmRzYkLSUieUc2I0YnRidGKComRi5GKC0lI2xuRzYjJSJiR0YoNiM+JSNpY0cvLSUieUc2IyIiIkYpNiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYiIiJGKCUieUchIiJGKSomLSUjbG5HNiMlImJHRigtRiU2JComRihGKComJSJ4R0YoLCYlImFHRihGNEYoRihGKkY0Rig=NiMlIUc=NiMvLSUjbG5HNiMlInlHLCgqKC1GJTYjJSJiRyIiIiUiYUchIiItRiU2IyUieEdGLUYtKihGKkYtRi5GLy1GJTYjLCZGLkYtRjJGLUYtRi8mJSJDRzYjRi1GLQ==NiMlIUc=NiMvJSJ5RyomJiUiQ0c2IyIiIyIiIiklImJHKiYsJi0lI2xuRzYjJSJ4R0YqLUYwNiMsJiUiYUdGKkYyRiohIiJGKkY2RjdGKg==NiQlRUFwcGx5aW5nfnRoZX5pbml0aWFsfmNvbmRpdGlvbn4ufi5+fkcvJiUiQ0c2IyIiIyksJiUiYUciIiJGLEYsKiYtJSNsbkc2IyUiYkdGLEYrISIiNiMlIUc=NiMvLSUieUc2IyUieEcqJiksJiUiYUciIiJGLEYsKiYtJSNsbkc2IyUiYkdGLEYrISIiRiwpRjEqJiwmLUYvRiZGLC1GLzYjLCZGK0YsRidGLEYyRixGK0YyRiw=

dsolve({de,ic},y(x));

NiMvLSUieUc2IyUieEcqJiksJiUiYUciIiJGLEYsKiYtJSNsbkc2IyUiYkdGLEYrISIiRiwpRjEsJComLCYtRi9GJkYyLUYvNiMsJkYrRixGJ0YsRixGLEYrRjJGMkYs

;

NiMlInhH NiQvKiYlI2R5RyIiIiUjZHhHISIiKiYtJSNsbkc2IyUiYUdGJi0lInlHNiMsJkYvRiZGLUYmRiYvLUYvNiNGJiIiIw== de := x*diff(y(x),x) = y(x)*(y(x)+a)*ln(a); ic := y(1)=2; desolveSV({de,ic},info=true);

NiM+JSNkZUcvKiYlInhHIiIiLSUlZGlmZkc2JC0lInlHNiNGJ0YnRigqKEYsRigsJkYsRiglImFHRihGKC0lI2xuRzYjRjFGKA==NiM+JSNpY0cvLSUieUc2IyIiIiIiIw==NiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvLSUkSW50RzYkKiYiIiJGKComJSJ5R0YoLCZGKkYoJSJhR0YoRighIiJGKiomLSUjbG5HNiNGLEYoLUYlNiQqJkYoRiglInhHRi1GNUYoNiMlIUc=NiMvKiYsJiomJSJhRyEiIi0lI2xuRzYjJSJ5RyIiIkYtKiZGJ0YoLUYqNiMsJkYsRi1GJ0YtRi1GKEYtRidGLSwmKigtRio2I0YnRi0tRio2IyUieEdGLUYnRi1GLSYlIkNHNiNGLUYtNiMlIUc=NiMvKiYlInlHIiIiLCZGJUYmJSJhR0YmISIiKiYmJSJDRzYjIiIjRiYpRigqJi0lI2xuRzYjJSJ4R0YmRihGJkYmNiQlRUFwcGx5aW5nfnRoZX5pbml0aWFsfmNvbmRpdGlvbn4ufi5+fkcvJiUiQ0c2IyIiIywkKiZGKCIiIiwmRihGKyUiYUdGKyEiIkYrNiMlIUc=NiMvLSUieUc2IyUieEcsJCooIiIjIiIiKSUiYUcsJiomLSUjbG5HRiZGK0YtRitGK0YrRitGKywoRipGK0YtRisqJkYqRispRi1GL0YrISIiRjVGKw==

dsolve({de,ic},y(x));

NiMvLSUieUc2IyUieEcqJiUiYUciIiIsJiEiIkYqKigjRioiIiNGKilGKSwkKiYtJSNsbkdGJkYqRilGKkYsRiosJkYvRipGKUYqRipGKkYs

;

NiMvKiYlI2R4RyIiIiUjZHRHISIiKiglImtHRiYsJiUiYUdGJiUieEdGKEYmLCYlImJHRiZGLUYoRiY= de := diff(x(t),t)=k*(a-x(t))*(b-x(t)); desolve(de,x(t),info=true);

NiM+JSNkZUcvLSUlZGlmZkc2JC0lInhHNiMlInRHRiwqKCUia0ciIiIsJiUiYUdGL0YpISIiRi8sJiUiYkdGL0YpRjJGLw==NiMlIUc=NiMlRFRoZX5ERX5oYXN+c2VwYXJhYmxlfnZhcmlhYmxlc34ufi5+Rw==NiMvKiYlImtHISIiLSUkSW50RzYkKiYiIiJGKyomLCYlImFHRiYlInhHRitGKywmJSJiR0YmRi9GK0YrRiZGL0YrJSJ0Rw==NiMlIUc=NiMvKigsJiooJSJrRyEiIiwmJSJiR0YoJSJhRyIiIkYoLSUjbG5HNiMsJkYrRiglInhHRixGLEYsKihGJ0YoRilGKC1GLjYjLCZGKkYoRjFGLEYsRihGLEYnRixGKUYsLCYqKCUidEdGLEYnRixGKUYsRiwmJSJDRzYjRixGLA==NiMlIUc=NiMvKiYsJiUiYUchIiIlInhHIiIiRiksJiUiYkdGJ0YoRilGJyomJiUiQ0c2IyIiI0YpLSUkZXhwRzYjKiglInRHRiklImtHRiksJkYrRidGJkYpRilGKQ==NiMlIUc=NiMvLSUieEc2IyUidEcqJiwmJSJhRyEiIiooJiUiQ0c2IyIiIyIiIi0lJGV4cEc2IyooRidGMSUia0dGMSwmJSJiR0YrRipGMUYxRjFGOEYxRjFGMSwmRitGMSomRi1GMUYyRjFGMUYr

dsolve(de,x(t));

NiMvLSUieEc2IyUidEcqJiwmJSJhRyEiIiomJSJiRyIiIi0lJGV4cEc2IywqKihGJ0YuJSJrR0YuRi1GLkYrKihGJ0YuRjRGLkYqRi5GLiooJSRfQzFHRi5GNEYuRi1GLkYrKihGN0YuRjRGLkYqRi5GLkYuRi5GLiwmRi9GLkYuRitGKw==

;

;

NiMkIiRDJCEiIw==

;In questions 1 to 9, solve the given initial value problem.In each case plot the graph of the solution along with the associated direction field for the differential equation.Note: When setting up the differential equation to be solved by either dsolve or desolveSV: Use diff(y(x),x) to replace the mathematical symbol NiMqJiUjZHlHIiIiJSNkeEchIiI=.Replace y by y(x) everywhere y appears in the differential equation.

NiMvKiYlI2R5RyIiIiUjZHhHISIiKiYlInhHRiYtJSVzcXJ0RzYjLCZGJkYmKiQlInlHIiIjRihGJg==, NiMvLSUieUc2IyIiIUYn __________________________________________________________________________;

NiMvKiYlI2R5RyIiIiUjZHhHISIiKiglInhHRiYtJSRleHBHNiNGKkYmLCYlInlHRiZGJkYmRig=, NiMvLSUieUc2IyIiISIiIg== __________________________________________________________________________;

NiMvKiYlI2R5RyIiIiUjZHhHISIiKiYsJiokJSJ5RyIiI0YmRiZGJkYmKiYlInhHRiYsJkYvRiZGJkYmRiZGKA==, NiMvLSUieUc2IyIiIiIiIQ== __________________________________________________________________________;

NiMvKiYlI2R5RyIiIiUjZHhHISIiKiYtJSNsbkc2IyUieEdGJiomRi1GJiwmJSJ5R0YmKiRGMCIiJEYmRiZGKA==, NiMvLSUieUc2IyIiIiIiIw==__________________________________________________________________________;

NiMtJSFHNiMsJiUieUciIiJGKEYo NiMvLCYqJiUjZHlHIiIiJSNkeEchIiJGJyomLSUkZXhwRzYjJSJ4R0YnKiQlInlHIiIkRidGJyIiIQ==, NiMvLSUieUc2IyIiISIiJA== __________________________________________________________________________;

NiMtJSFHNiMsJiokJSJ4RyIiIyIiIkYqISIi NiMvKiYlI2R5RyIiIiUjZHhHISIiLCYqJCUieUciIiNGJkYmRiY=, NiMvLSUieUc2IyIiI0Yn __________________________________________________________________________;

NiMqJiUieUciIiIqJC0lJHNlY0c2IyUieEciIiNGJQ== NiMvKiYlI2R5RyIiIiUjZHhHISIiLCYqJCUieUciIiNGJkYmRiY=, NiMvLSUieUc2IyIiISIiIw== __________________________________________________________________________;

NiMlInlH NiMvKiYlI2R5RyIiIiUjZHhHISIiKigiIiVGJiUieEdGJi0lJXNxcnRHNiMsJkYmRiYqJCUieUciIiNGJkYm, NiMvLSUieUc2IyIiISIiIg== __________________________________________________________________________;

NiMtJSFHNiMsJiIiIkYnLSUkY29zRzYjJSJ4R0Yn NiMvKiYlI2R5RyIiIiUjZHhHISIiKiYtJSRzaW5HNiMlInhHRiYsJi0lJGV4cEc2IywkLSUieUdGLEYoRiZGJkYmRiY=, NiMvLSUieUc2IyIiIUYn __________________________________________________________________________;

(a) Construct two1st order differential with separable variables, for which dsolve or desolveSV can find the general solution.(b) For each differential equation chosen in (a) pick an initial condition and find the particular solution with this initial condition. (c) Plot the graphs of the particular solutions along with the direction field associated with the differential equation._____________________________________1st differential equation_____________________________________2nd differential equation_____________________________________;

;