This Maple sheet discusses the first quiz, Stefan's law of radiative cooling, and Taylor's series variation on Euler's method. First, the quiz. All the questions were about the differential equation y'=y, with initial condition y(0)=1. Question 1 had parts a, b, and c, asking for the result of using Euler's method with one step, two steps, and four steps, to estimate y(4). Question 2 asked for an eyeball estimate of y(1) based on a sketch of a direction field for y'=y. The Euler's method code from last sheet is reproduced here. QyQ+SSdldWxlcjNHNiJmKjYnSSJmR0YlSSN4MEdGJUkjeTBHRiVJImhHRiVJIm5HRiU2J0kieEdGJUkieUdGJUkibUdGJUkia0dGJUklaGlzdEdGJUYlRiVDKD44JDklPjglOSY+OCciIiI+OCg3IzckRjZGOT8oRiVGPEY8RiUxRjs5KEMoPjgmLTkkNiRGNUY4PkY1LCZGNUY8OSdGPD5GOCwmRjhGPComRkZGPEZMRjxGPD5GOC1JJmV2YWxmRyUqcHJvdGVjdGVkRzYjRjg+Rj43JC1JI29wR0ZTNiNGPjckRjVGOD5GOywmRjtGPEY8RjxGPkYlRiVGJUY8

Zio2J0kiZkc2IkkjeDBHRiVJI3kwR0YlSSJoR0YlSSJuR0YlNidJInhHRiVJInlHRiVJIm1HRiVJImtHRiVJJWhpc3RHRiVGJUYlQyg+OCQ5JT44JTkmPjgnIiIiPjgoNyM3JEYzRjY/KEYlRjlGOUYlMUY4OShDKD44Ji05JDYkRjJGNT5GMiwmRjJGOTknRjk+RjUsJkY1RjkqJkZDRjlGSUY5Rjk+RjUtSSZldmFsZkclKnByb3RlY3RlZEc2I0Y1PkY7NyQtSSNvcEdGUDYjRjs3JEYyRjU+RjgsJkY4RjlGOUY5RjtGJUYlRiU=

PkkncXVpemZuRzYiZio2JEkieEdGJEkieUdGJEYkNiRJKW9wZXJhdG9yR0YkSSZhcnJvd0dGJEYkOSVGJEYkRiQ=

Zio2JEkieEc2IkkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlOSVGJUYlRiU=

QyQ+SSRxejFHNiItSSdldWxlcjNHRiU2J0kncXVpemZuR0YlIiIhIiIiIiIlRitGKw==

NyQ3JCIiISIiIjckIiIlJCIiJkYk

QyQ+SSRxejJHNiItSSdldWxlcjNHRiU2J0kncXVpemZuR0YlIiIhIiIiIiIjRixGKw==

NyU3JCIiISIiIjckIiIjJCIiJEYkNyQiIiUkIiIqRiQ=

QyQ+SSRxejNHNiItSSdldWxlcjNHRiU2J0kncXVpemZuR0YlIiIhIiIiRisiIiVGKw==

Nyc3JCIiISIiIjckRiUkIiIjRiQ3JEYoJCIiJUYkNyQiIiQkIiIpRiQ3JEYrJCIjO0Yk

QyQ+SSRxejRHNiItSSdldWxlcjNHRiU2J0kncXVpemZuR0YlIiIhIiIiI0YrIiM1IiNTISIi QyQ+SSRxejVHNiItSSdldWxlcjNHRiU2J0kncXVpemZuR0YlIiIhIiIiI0YrIiQrIiIkKyUhIiI= QyQtSSVwbG90RzYiNiM3J0kkcXoxR0YlSSRxejJHRiVJJHF6M0dGJUkkcXo0R0YlSSRxejVHRiUiIiI=

6*-%'CURVESG6$7$7$$""!!""$"#5!""7$$"#S!""$"#]!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7%7$$""!!""$"#5!""7$$"#?!""$"#I!""7$$"#S!""$"#!*!""-%&COLORG6&%$RGBG$"2'\_'eM%yg>!#<$"1ij9.e@R!)!#;$"2'\_'eM%yg>!#<-%'CURVESG6$7'7$$""!!""$"#5!""7$$"#5!""$"#?!""7$$"#?!""$"#S!""7$$"#I!""$"#!)!""7$$"#S!""$"$g"!""-%&COLORG6&%$RGBG$"13$GVp>!\&)!#;$"1_MmX%)eqk!#;$"0%z*\.-\D"!#:-%'CURVESG6$7K7$$""!!""$"#5!""7$$"""!""$"#6!""7$$""#!""$"$@"!"#7$$""$!""$"%J8!"$7$$""%!""$"&TY"!"%7$$""&!""$"'^5;!"&7$$""'!""$"(h:x"!"'7$$""(!""$")rr[>!"(7$$"")!""$"*"))eV@!")7$$""*!""$"+"pZzN#!"*7$$"#5!""$"*YUPf#!")7$$"#6!""$"+1n6`G!"*7$$"#7!""$"+x$G%QJ!"*7$$"#8!""$"+:7F_M!"*7$$"#9!""$"+O$)\(z$!"*7$$"#:!""$"*<[s<%!")7$$"#;!""$"+()H(\f%!"*7$$"#<!""$"+'GqW0&!"*7$$"#=!""$"+:t"*fb!"*7$$"#>!""$"20++g/4f6'!#;7$$"#?!""$"+^**\Fn!"*7$$"#@!""$"+Y*\-S(!"*7$$"#A!""$"+T\FS")!"*7$$"#B!""$"+NCIa*)!"*7$$"#C!""$"+yEt\)*!"*7$$"#D!""$"+&fqM3"!")7$$"#E!""$"+aw"=>"!")7$$"#F!""$"+>%**4J"!")7$$"#G!""$"+h$*4U9!")7$$"#H!""$"+(H4je"!")7$$"#I!""$"+F-%\u"!")7$$"#J!""$"*DM%>>!"(7$$"#K!""$"+vwP6@!")7$$"#L!""$"+Ua^AB!")7$$"#M!""$"+')pwaD!")7$$"#N!""$"+&oV-"G!")7$$"#O!""$"+a!o74$!")7$$"#P!""$"+f[R+M!")7$$"#Q!""$"+XVVSP!")7$$"#R!""$"*yxW6%!"(7$$"#S!""$"+eb#f_%!")-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%'CURVESG6$7]dl7$$""!!""$"#5!""7$$"""!"#$"$,"!"#7$$""#!"#$"&,-"!"%7$$""$!"#$"(,.."!"'7$$""%!"#$"*,/1/"!")7$$""&!"#$"*0550"!")7$$""'!"#$"*:?:1"!")7$$""(!"#$"+_`8s5!"*7$$"")!"#$"+1n&G3"!"*7$$""*!"#$"+t_o$4"!"*7$$"""!""$"+E@i/6!"*7$$"#6!"#$"+Z$oc6"!"*7$$"#7!"#$"*.Do7"!")7$$"#8!"#$"*G$4Q6!")7$$"#9!"#$"+8UZ\6!"*7$$"#:!"#$"+b*o4;"!"*7$$"#;!"#$"+X'yD<"!"*7$$"#<!"#$"+JWI%="!"*7$$"#=!"#$"+vu9'>"!"*7$$"#>!"#$"*&*3"37!")7$$""#!""$"*/!>?7!")7$$"#@!"#$"*%>RK7!")7$$"#A!"#$"+ferW7!"*7$$"#B!"#$"+=I;d7!"*7$$"#C!"#$"+[Ytp7!"*7$$"#D!"#$"+%*>V#G"!"*7$$"#E!"#$"+9jD&H"!"*7$$"#F!"#$"+x)3#38!"*7$$"#G!"#$"+m4H@8!"*7$$"#H!"#$"+wQ]M8!"*7$$""$!""$"+:*[yM"!"*7$$"#J!"#$"+/uKh8!"*7$$"#K!"#$"+y1%\P"!"*7$$"#L!"#$"+&3!p)Q"!"*7$$"#M!"#$"+')pd-9!"*7$$"#N!"#$"+cFg;9!"*7$$"#O!"#$"+%yo2V"!"*7$$"#P!"#$"+sk2X9!"*7$$"#Q!"#$"+Ps_f9!"*7$$"#R!"#$"+4D7u9!"*7$$""%!""$"+MP'))["!"*7$$"#T!"#$"+rBv.:!"*7$$"#U!"#$"+&*)*y=:!"*7$$"#V!"#$"+%zxR`"!"*7$$"#W!"#$"+svJ\:!"*7$$"#X!"#$"+[2"[c"!"*7$$"#Y!"#$"+b)e/e"!"*7$$"#Z!"#$"+WME'f"!"*7$$"#[!"#$"+ygA7;!"*7$$"#\!"#$"+R$[$G;!"*7$$""&!""$"+A=jW;!"*7$$"#^!"#$"*9y5m"!")7$$"#_!"#$"+@*)ox;!"*7$$"#`!"#$"*"eY%p"!")7$$"#a!"#$"+o/T6<!"*7$$"#b!"#$"+tX_G<!"*7$$"#c!"#$"+>)4eu"!"*7$$"#d!"#$"+<zEj<!"*7$$"#e!"#$"+'f+4y"!"*7$$"#f!"#$"+-'4()z"!"*7$$""'!""$"+)p'p;=!"*7$$"#h!"#$"+lO'[$=!"*7$$"#i!"#$"+-B@`=!"*7$$"#j!"#$"+DWur=!"*7$$"#k!"#$"+p=Y!*=!"*7$$"#l!"#$"+)[m$4>!"*7$$"#m!"#$"+`,YG>!"*7$$"#n!"#$"+bZuZ>!"*7$$"#o!"#$"+.AAn>!"*7$$"#p!"#$"+DW*o)>!"*7$$""(!""$"+pLw1?!"*7$$"#r!"#$"+.5$o-#!"*7$$"#s!"#$"+8$*4Z?!"*7$$"#t!"#$"+1.dn?!"*7$$"#u!"#$"+4gC)3#!"*7$$"#v!"#$"+p%G"4@!"*7$$"#w!"#$"+a(>-8#!"*7$$"#x!"#$"+_>_^@!"*7$$"#y!"#$"+sr.t@!"*7$$"#z!"#$"+Wvw%>#!"*7$$"")!""$"+>_r;A!"*7$$"#")!"#$"+rB))QA!"*7$$"##)!"#$"+&>r7E#!"*7$$"#$)!"#$"+2R)QG#!"*7$$"#%)!"#$"+YFs1B!"*7$$"#&)!"#$"+t**yHB!"*7$$"#')!"#$"+ty3`B!"*7$$"#()!"#$"+_(=mP#!"*7$$"#))!"#$"*%\Q+C!")7$$"#*)!"#$"+*y)QCC!"*7$$""*!""$"+xEj[C!"*7$$"#"*!"#$"+/!>JZ#!"*7$$"##*!"#$"+%>]y\#!"*7$$"#$*!"#$"+'pGG_#!"*7$$"#%*!"#$"+$)p0[D!"*7$$"#&*!"#$"+`v`tD!"*7$$"#'*!"#$"+HHF*f#!"*7$$"#(*!"#$"+ecEDE!"*7$$"#)*!"#$"+:$=:l#!"*7$$"#**!"#$"+)\L!yE!"*7$$"#5!""$"+LQ"[q#!"*7$$"$,"!"#$"+r>'=t#!"*7$$"$-"!"#$"+"f!=fF!"*7$$"$."!"#$"+(Rsny#!"*7$$"$/"!"#$"+@,k9G!"*7$$"$0"!"#$"+AlyUG!"*7$$"$1"!"#$"+(Q97(G!"*7$$"$2"!"#$"+Jl#***G!"*7$$"$3"!"#$"+'zD*GH!"*7$$"$4"!"#$"+a]@eH!"*7$$"#6!""$"+0sz()H!"*7$$"$6"!"#$"+x^n<I!"*7$$"$7"!"#$"+H>&y/$!"*7$$"$8"!"#$"+[/LyI!"*7$$"$9"!"#$"+_P64J!"*7$$"$:"!"#$"**[?SJ!")7$$"$;"!"#$"+RpgrJ!"*7$$"$<"!"#$"+3IK.K!"*7$$"$="!"#$"+QiNNK!"*7$$"$>"!"#$"))4xE$!"(7$$"#7!""$"+)*oQ+L!"*7$$"$@"!"#$"+n2RLL!"*7$$"$A"!"#$"+vYsmL!"*7$$"$B"!"#$"+A>R+M!"*7$$"$C"!"#$"+TeRMM!"*7$$"$D"!"#$"+*zR(oM!"*7$$"$E"!"#$"+(>FM]$!"*7$$"$F"!"#$"+p9YQN!"*7$$"$G"!"#$"+%3YQd$!"*7$$"$H"!"#$"+XXe4O!"*7$$"#8!""$"*R!oXO!")7$$"$J"!"#$"+%>P@o$!"*7$$"$K"!"#$"+m&e*=P!"*7$$"$L"!"#$"+_"[hv$!"*7$$"$M"!"#$"+M'4Pz$!"*7$$"$N"!"#$"*tY;$Q!")7$$"$O"!"#$"+(>j*pQ!"*7$$"$P"!"#$"+HGm3R!"*7$$"$Q"!"#$"+d%\x%R!"*7$$"$R"!"#$"+_pA()R!"*7$$"#9!""$"+A#*4FS!"*7$$"$T"!"#$"+9-PnS!"*7$$"$U"!"#$"+;R/3T!"*7$$"$V"!"#$"+bV7\T!"*7$$"$W"!"#$"+*f:1>%!"*7$$"$X"!"#$"+b<_KU!"*7$$"$Y"!"#$"+tp%[F%!"*7$$"$Z"!"#$"+Vaf<V!"*7$$"$["!"#$"+(Rr2O%!"*7$$"$\"!"#$"+6"zVS%!"*7$$"#:!""$"+-HU[W!"*7$$"$^"!"#$"+Jr!H\%!"*7$$"$_"!"#$"+-i$y`%!"*7$$"$`"!"#$"+kX@$e%!"*7$$"$a"!"#$"*rY!HY!")7$$"$b"!"#$"+xrLvY!"*7$$"$c"!"#$"+\04AZ!"*7$$"$d"!"#$"+a9JpZ!"*7$$"$e"!"#$"+pX+<[!"*7$$"$f"!"#$"+:Y<l[!"*7$$"#;!""$"+hj#Q"\!"*7$$"$h"!"#$"+DY'H'\!"*7$$"$i"!"#$"+rUf7]!"*7$$"$j"!"#$"20++S@?F1&!#;7$$"$k"!"#$"+;uM8^!"*7$$"$l"!"#$"**3[k^!")7$$"$m"!"#$"+*pDh@&!"*7$$"$n"!"#$"+cpGo_!"*7$$"$o"!"#$"+E)p4K&!"*7$$"$p"!"#$"20++S_zTP&!#;7$$"#<!""$"+>8#zU&!"*7$$"$r"!"#$"+K0?#[&!"*7$$"$s"!"#$"+PD-Pb!"*7$$"$t"!"#$"+iFR#f&!"*7$$"$u"!"#$"*p;$[c!")7$$"$v"!"#$"+d)*z/d!"*7$$"$w"!"#$"+cy%=w&!"*7$$"$x"!"#$"2&*****\Lm%>e!#;7$$"$y"!"#$"+)*4mxe!"*7$$"$z"!"#$"+3wVOf!"*7$$"#=!""$"+%)>!e*f!"*7$$"$"=!"#$"+/+wbg!"*7$$"$#=!"#$"+/wJ;h!"*7$$"$$=!"#$"*y![xh!")7$$"$%=!"#$"+)eb#Ri!"*7$$"$&=!"#$"+W"[;I'!"*7$$"$'=!"#$"+DYmkj!"*7$$"$(=!"#$"+r7JGk!"*7$$"$)=!"#$"+%Q%f#\'!"*7$$"$*=!"#$"+G._dl!"*7$$"#>!""$"+Jb4Bm!"*7$$"$">!"#$"+'[E$*o'!"*7$$"$#>!"#$"+^(>iv'!"*7$$"$$>!"#$"+\>yBo!"*7$$"$%>!"#$"+o(>?*o!"*7$$"$&>!"#$"+m*R4'p!"*7$$"$'>!"#$"+m$\0.(!"*7$$"$(>!"#$"*'[&35(!")7$$"$)>!"#$"+4M'=<(!"*7$$"$*>!"#$"+V?eVs!"*7$$"#?!""$"+jy,;t!"*7$$"$,#!"#$"1*****>/y"*Q(!#:7$$"$-#!"#$"+A)pIY(!"*7$$"$.#!"#$"*_+x`(!")7$$"$/#!"#$"+Dv28w!"*7$$"$0#!"#$")$3#*o(!"(7$$"$1#!"#$"2&*****HQ+hw(!#;7$$"$2#!"#$"+(QhP%y!"*7$$"$3#!"#$"1*****4+*>Az!#:7$$"$4#!"#$"+"*4U,!)!"*7$$"#@!""$"+,_V"3)!"*7$$"$6#!"#$"1*****Hb\A;)!#:7$$"$7#!"#$"+\?(QC)!"*7$$"$8#!"#$"+p2JE$)!"*7$$"$9#!"#$"+xQd4%)!"*7$$"$:#!"#$"+;'pO\)!"*7$$"$;#!"#$"1-++7jgy&)!#:7$$"$<#!"#$"+vBRk')!"*7$$"$=#!"#$"+*HO5v)!"*7$$"$>#!"#$"+imaQ))!"*7$$"#A!""$"+H@$p#*)!"*7$$"$@#!"#$"*X,i,*!")7$$"$A#!"#$"+kMO1"*!"*7$$"$B#!"#$"+*4Fu>*!"*7$$"$C#!"#$"*P,%*G*!")7$$"$D#!"#$"+%Q&H#Q*!"*7$$"$E#!"#$"+Q$=hZ*!"*7$$"$F#!"#$"+@&z3d*!"*7$$"$G#!"#$"+;$)em'*!"*7$$"$H#!"#$"+*>aKw*!"*7$$"#B!""$"+Tn)3')*!"*7$$"$J#!"#$"1,++3c\f**!#:7$$"$K#!"#$"+c!4f+"!")7$$"$L#!"#$"+Z"of,"!")7$$"$M#!"#$"+Gy7E5!")7$$"$N#!"#$"+1"*QO5!")7$$"$O#!"#$"+(*HvY5!")7$$"$P#!"#$"+F0Ad5!")7$$"$Q#!"#$"+KFzn5!")7$$"$R#!"#$"+f1Zy5!")7$$"#C!""$"+m`D*3"!")7$$"$T#!"#$"*#z9+6!"(7$$"$U#!"#$"+*R\66"!")7$$"$V#!"#$"+$*3EA6!")7$$"$W#!"#$"+-N[L6!")7$$"$X#!"#$"+P$=[9"!")7$$"$Y#!"#$"*_mi:"!"(7$$"$Z#!"#$"+&=Hy;"!")7$$"$[#!"#$"+xu]z6!")7$$"$\#!"#$"+_DI">"!")7$$"#D!""$"+yb@.7!")7$$"$^#!"#$"+MxC:7!")7$$"$_#!"#$"+6-SF7!")7$$"$`#!"#$"+8UnR7!")7$$"$a#!"#$"+b42_7!")7$$"$b#!"#$"+l;fk7!")7$$"$c#!"#$"+#ePsF"!")7$$"$d#!"#$"+e*4+H"!")7$$"$e#!"#$"+e+"HI"!")7$$"$f#!"#$"+f"RfJ"!")7$$"#E!""$"+^&)4H8!")7$$"$h#!"#$"+P&*QU8!")7$$"$i#!"#$"+KM"eN"!")7$$"$j#!"#$"+m:Pp8!")7$$"$k#!"#$"+#GlIQ"!")7$$"$l#!"#$"+Nf*oR"!")7$$"$m#!"#$"+%*['3T"!")7$$"$n#!"#$"+VN(\U"!")7$$"$o#!"#$"+yKAR9!")7$$"$p#!"#$"+6bh`9!")7$$"#F!""$"+m;:o9!")7$$"$r#!"#$"+$=LG["!")7$$"$s#!"#$"+::m(\"!")7$$"$t#!"#$"*8QE^"!"(7$$"$u#!"#$"+6XwF:!")7$$"$v#!"#$"+c@/V:!")7$$"$w#!"#$"+yDZe:!")7$$"$x#!"#$"+/t0u:!")7$$"$y#!"#$"+xyz*e"!")7$$"$z#!"#$"+cep0;!")7$$"#G!""$"+:Gv@;!")7$$"$"G!"#$"+V.(zj"!")7$$"$#G!"#$"+Y+Na;!")7$$"$$G!"#$"+YN*3n"!")7$$"$%G!"#$"+"[-wo"!")7$$"$&G!"#$"+1&yWq"!")7$$"$'G!"#$"+"HB:s"!")7$$"$(G!"#$"+C&Q(Q<!")7$$"$)G!"#$"+4f7c<!")7$$"$*G!"#$"+orot<!")7$$"#H!""$"*/C9z"!"(7$$"$"H!"#$"*GQ$4=!"(7$$"$#H!"#$"+j;VF=!")7$$"$$H!"#$"*)fqX=!"(7$$"$%H!"#$"*/jT'=!"(7$$"$&H!"#$"*n/G)=!"(7$$"$'H!"#$"+<Fj,>!")7$$"$(H!"#$"+W!\1#>!")7$$"$)H!"#$"+Mb&)R>!")7$$"$*H!"#$"+*3a#f>!")7$$"#I!""$"*jY)y>!"(7$$"$,$!"#$"+'4N')*>!")7$$"$-$!"#$"+Z9i=?!")7$$"$.$!"#$"+hw!)Q?!")7$$"$/$!"#$"+Qd>f?!")7$$"$0$!"#$"+&p(yz?!")7$$"$1$!"#$"+sbe+@!")7$$"$2$!"#$"+G9f@@!")7$$"$3$!"#$"+Ut!G9#!")7$$"$4$!"#$"+:aBk@!")7$$"#J!""$"+px(e=#!")7$$"$6$!"#$"+Zlt2A!")7$$"$7$!"#$"+7R")HA!")7$$"$8$!"#$"+^?6_A!")7$$"$9$!"#$"+sJjuA!")7$$"$:$!"#$"+/&ztH#!")7$$"$;$!"#$"+*H`.K#!")7$$"$<$!"#$"+KobVB!")7$$"$=$!"#$")C*pO#!"'7$$"$>$!"#$"+CBm!R#!")7$$"#K!""$"+Z*oXT#!")7$$"$@$!"#$"+OYrQC!")7$$"$A$!"#$"+#y,JY#!")7$$"$B$!"#$")Gt([#!"'7$$"$C$!"#$"+G,h7D!")7$$"$D$!"#$"+HitPD!")7$$"$E$!"#$"+"f8Jc#!")7$$"$F$!"#$"+FZu)e#!")7$$"$G$!"#$"+u@j9E!")7$$"$H$!"#$"+'\y2k#!")7$$"#L!""$"+"G'=nE!")7$$"$J$!"#$"+W"eQp#!")7$$"$K$!"#$"+Dnz?F!")7$$"$L$!"#$"+#p/![F!")7$$"$M$!"#$"+RZ[vF!")7$$"$N$!"#$"+'eRK!G!")7$$"$O$!"#$"+#)>FJG!")7$$"$P$!"#$"+-ZefG!")7$$"$Q$!"#$"+\0=))G!")7$$"$R$!"#$"+aB1<H!")7$$"#M!""$"+yHBYH!")7$$"$T$!"#$"+3`pvH!")7$$"$U$!"#$"+hAX0I!")7$$"$V$!"#$"+%y1b.$!")7$$"$W$!"#$"+_='e1$!")7$$"$X$!"#$"+r/_'4$!")7$$"$Y$!"#$"+wc[FJ!")7$$"$Z$!"#$"+L0weJ!")7$$"$[$!"#$"+Q"[.>$!")7$$"$\$!"#$"+>;DAK!")7$$"#N!""$"+NTZaK!")7$$"$^$!"#$"+w)=qG$!")7$$"$_$!"#$"+l!*))>L!")7$$"$`$!"#$"+cz3`L!")7$$"$a$!"#$"+O)=mQ$!")7$$"$b$!"#$"+C][?M!")7$$"$c$!"#$"+u)*oaM!")7$$"$d$!"#$"+tnB*[$!")7$$"$e$!"#$"+T"HT_$!")7$$"$f$!"#$"+K/PfN!")7$$"#O!""$"+OT'\f$!")7$$"$h$!"#$"+xP"4j$!")7$$"$i$!"#$"+:HAnO!")7$$"$j$!"#$"+W^*Qq$!")7$$"$k$!"#$"+&4M4u$!")7$$"$l$!"#$"+OMMyP!")7$$"$m$!"#$"*(o7;Q!"(7$$"$n$!"#$"+R")GaQ!")7$$"$o$!"#$"*-JG*Q!"(7$$"$p$!"#$"*Lf<$R!"(7$$"#P!""$"+Bp2rR!")7$$"$r$!"#$"+#p(y5S!")7$$"$s$!"#$"+pb*30%!")7$$"$t$!"#$"+DXS"4%!")7$$"$u$!"#$"*d=B8%!"(7$$"$v$!"#$"+c<ktT!")7$$"$w$!"#$"+u"y`@%!")7$$"$x$!"#$"+c>`dU!")7$$"$y$!"#$"+ws5+V!")7$$"$z$!"#$"+\$3JM%!")7$$"#Q!""$"+K%RlQ%!")7$$"$"Q!"#$"+E[SIW!")7$$"$#Q!"#$"+u)3ZZ%!")7$$"$$Q!"#$"+jfX>X!")7$$"$%Q!"#$"+B0lkX!")7$$"$&Q!"#$"+GqH5Y!")7$$"$'Q!"#$"+)***RcY!")7$$"$(Q!"#$"+)*R'Hq%!")7$$"$)Q!"#$"+QO**\Z!")7$$"$*Q!"#$"+uN\(z%!")7$$"#R!""$"*^oa%[!"(7$$"$"R!"#$"+&>BR*[!")7$$"$#R!"#$"+FC'G%\!")7$$"$$R!"#$"+^5H#*\!")7$$"$%R!"#$"+iR@U]!")7$$"$&R!"#$"+-hj#4&!")7$$"$'R!"#$"+jCcV^!")7$$"$(R!"#$"+)3)*\>&!")7$$"$)R!"#$"+p![pC&!")7$$"$*R!"#$"*b<%*H&!"(7$$"#S!""$"+E<T_`!")-%&COLORG6&%$RGBG$"0)>M3y6%H(!#:$"13WnKMLLL!#;$"1*zon!*4XF)!#;-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$!G!""-%)BOUNDS_YG6#$"#!*!""-%-BOUNDS_WIDTHG6#$"%IO!""-%.BOUNDS_HEIGHTG6#$"%+O!""-%)CHILDRENG6"

QyQtSSNvcEclKnByb3RlY3RlZEc2JCIiI0kkcXoxRzYiIiIi

NyQiIiUkIiImIiIh

QyQtSSNvcEclKnByb3RlY3RlZEc2JCIiJEkkcXoyRzYiIiIi

NyQiIiUkIiIqIiIh

QyQtSSNvcEclKnByb3RlY3RlZEc2JCIiJkkkcXozRzYiIiIi

NyQiIiUkIiM7IiIh

The Maple function euler3 returns a list of n+1 pairs of numbers, when given as its five inputs (rule_for_derivative,x_0,y_0,stepsize,n). The final element of the list is op(n+1,that list). Here, then, the answers were 5, 9, and 16. The first value, 5, comes from following the red line, which has equation y=x+1, all the way across from (0,1) to (4,5). The differential equation says y'=y, and initially, y=1, and for purposes of this calculation, we make believe that y' remains identically 1, all the way across. A line with slope 1 goes from height 1 when x=0, to height 5 when x=4. The second answer, 9, comes from following the red line ONLY from (0,1) to (2,3), and then saying: now that we're here, let's look at the new value of y (3, it is), and use the slope y'=3 for the second step. Two steps, each a sideways leg of 2. But the first vertical rise is 2, while the second vertical rise is 6 because now we're following a line through (2,3) with slope 3. Go sideways 2, up 6 from (2,3) to arrive at (4,9). So the answer to part (b) is 9. The answer to part (c) is 16. There are four line segments, and the junctions are (0,1), (1,2), (2,4), (3,8), and finally, (4,16). The blue and purple lines in the plot come from using ten, and finally, 100, steps instead of just 1 or 2 or 4. There is a closed-form solution to this differential equation. Like many of the simplest DE's, the function that solves the initial value problem can be expressed in elementary terms. From calculus, we know that e^x has derivative e^x, and e^0=1. From our existence and uniqueness theorem, that makes it THE solution to y'=y with y(0)=1. QyQtSSdERXBsb3RHNiI2Ji8tSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkieUdGJTYjSSJ4R0YlRi9GLEYsL0YvOyIiISIiIi9GLDtGMiIiJUYz

6(-%'CURVESG6^dl7%7$$!1z:j_5UoB!#<$""!!""7$$"1z:j_5UoB!#<$""!!""7$$"1)[o)GW!=p)!#=$"1z:j_5UoB!#<7%7$$!2&QS_!\Z^O#!#=$"2ej\#z0Zb?!#<7$$"2&QS_!\Z^O#!#=$"2UO]ntb]:#!#<7$$"0P[XD(eo$)!#<$"1>Q*4:^+O#!#;7%7$$!1rYl^wSbB!#<$"2D+ypD^86%!#<7$$"1rYl^wSbB!#<$"2w*>-v8q4V!#<7$$"1=RM"y-U-)!#=$"2(Hc6oIY#[%!#<7%7$$!2$=B4-'Q%RB!#=$"0O=qXN!oh!#:7$$"2$=B4-'Q%RB!#=$"1R;)4\VNY'!#;7$$"1'yt0"*z>m(!#=$"1%*eo"=dRg'!#;7%7$$!2P!e!="zh<B!#=$"1u"Qy![)eA)!#;7$$"2P!e!="zh<B!#=$"1E=;c/A;')!#;7$$"2Dn')RXkbG(!#>$"1.tkN&QWs)!#;7%7$$!1x$4NpR/H#!#<$"2&p")[(o@&G5!#;7$$"1x$4NpR/H#!#<$"21$=^q9uw5!#;7$$"1)y3l_a()*o!#=$"2Apy)**RQ%3"!#;7%7$$!1kb[f_[eA!#<$"1(RP,mHYB"!#:7$$"1kb[f_[eA!#<$"1.E')Hho"H"!#:7$$"1ue.`$R`]'!#=$"2l'oUZA@'H"!#;7%7$$!2V?wBf"RAA!#=$"2.c'*p<L4W"!#;7$$"2V?wBf"RAA!#=$"2&RM+X_V1:!#;7$$"1R4-L_&*3h!#=$"2.#HSSt#z]"!#;7%7$$!2$H')QD1#G=#!#=$"2c]j7BZuk"!#;7$$"2$H')QD1#G=#!#=$"2W\O2#Q(4s"!#;7$$"1%>AY^oHr&!#=$"2BxeWRI&><!#;7%7$$!1:qrB<VS@!#<$"1yGb$H"=a=!#:7$$"1:qrB<VS@!#<$"2=7Z/R#HN>!#;7$$"2&[dws2R?`!#>$"2%e]QIX-J>!#;7%7$$!2)oSsZ*ee4#!#=$"2(=*H<")R61#!#;7$$"2)oSsZ*ee4#!#=$"2:3qU]'Q\@!#;7$$"1UE_#)p#Q$\!#=$"1s$3^X9C9#!#:7%7$$!2/3kR$Qp\?!#=$"2C$Q%*zGKoA!#;7$$"2/3kR$Qp\?!#=$"1nh0ogDjB!#:7$$"14hB#*QXbX!#=$"2DpU%\gq`B!#;7%7$$!2F(fe<PZ-?!#=$"2c-#G!)psvC!#;7$$"2F(fe<PZ-?!#=$"2V(zr*f/pd#!#;7$$"0z8TeBq=%!#<$"2xuox(f!\c#!#;7%7$$!2Mu$\#4vY&>!#=$"2Oo_StXLo#!#;7$$"2Mu$\#4vY&>!#=$"2kJZfZQ.z#!#;7$$"1t7_Ch))HQ!#=$"1lubW8-wF!#:7%7$$!1UOu$>6n!>!#<$"1GfR<1<"*G!#:7$$"1UOu$>6n!>!#<$"2C2/YAmN+$!#;7$$"2s)QQn^-&[$!#>$"2loTITfq)H!#;7%7$$!2WP,d'G$*e=!#=$"1`'pQf">*4$!#:7$$"2WP,d'G$*e=!#=$"1Z.8!)yf;K!#:7$$"1D$G=0,J:$!#=$"1a[att-)>$!#:7%7$$!2U&=$\yJ;"=!#=$"1;NbmwR2L!#:7$$"2U&=$\yJ;"=!#=$"2U[Y%RWWHM!#;7$$"11zF')o\MG!#=$"22qi&y@$*3M!#;7%7$$!14n6;_/l<!#<$"238w'Htx:N!#;7$$"14n6;_/l<!#<$"2(pQK3u6UO!#;7$$"2W^l7Hk$HD!#>$"2j*R@B/y>O!#;7%7$$!2#Q@#)>;O><!#=$"2O/%)y#*=Vs$!#;7$$"2#Q@#)>;O><!#=$"1cf6S%GY&Q!#:7$$"1#=Sg\mwB#!#=$"2u3/"o#y0$Q!#;7%7$$!20x?qeEZn"!#=$"1p">l$4,LR!#:7$$"20x?qeEZn"!#=$"1J3[j!*)p1%!#:7$$"2(\#[[Q<#f>!#>$"13)z7SJ8/%!#:7%7$$"1@%oB%ot%*G!#<$""!!""7$$"1z:jZ*y:j(!#<$""!!""7$$"1\o)yLQB8'!#<$"1z:j_5UoB!#<7%7$$"2;'fZ//,)*G!#=$"2ej\#z0Zb?!#<7$$"1QS_&Q0$Gw!#<$"2UO]ntb]:#!#<7$$"2m$[X?m,+h!#=$"1>Q*4:^+O#!#;7%7$$"2#H`MV-v2H!#=$"2D+ypD^86%!#<7$$"1rYlYbc=w!#<$"2w*>-v8q4V!#<7$$"1#RMJ<yb1'!#<$"2(Hc6oIY#[%!#<7%7$$"2=o2HH>P#H!#=$"0O=qXN!oh!#:7$$"1=B4(\'f-w!#<$"1R;)4\VNY'!#;7$$"2wPdg)eNHg!#=$"1%*eo"=dRg'!#;7%7$$"2j>%>$)*Rb%H!#=$"1u"Qy![)eA)!#;7$$"1.e!o!ex!e(!#<$"1E=;c/A;')!#;7$$"1n')RSVr"*f!#<$"1.tkN&QWs)!#;7%7$$"1B1\,#=F(H!#<$"2&p")[(o@&G5!#;7$$"1x$4&)e(f`v!#<$"21$=^q9uw5!#;7$$"1y3lZL.`f!#<$"2Apy)**RQ%3"!#;7%7$$"1OW^NEn/I!#<$"1(RP,mHYB"!#:7$$"1jb[aJk@v!#<$"1.E')Hho"H"!#:7$$"1(e..$=p8f!#<$"2l'oUZA@'H"!#;7%7$$"2ezBEIm2/$!#=$"2.c'*p<L4W"!#;7$$"1/iP([\b[(!#<$"2&RM+X_V1:!#;7$$"1%4-$=M0ue!#<$"2.#HSSt#z]"!#;7%7$$"22P6'psL!3$!#=$"2c]j7BZuk"!#;7$$"0j)Q?&yfW(!#;$"2W\O2#Q(4s"!#;7$$"0AikuaW$e!#;$"2BxeWRI&><!#;7%7$$"1&)HGrhsAJ!#<$"1yGb$H"=a=!#:7$$"1;qr='*e.u!#<$"2=7Z/R#HN>!#;7$$"2cdwA(p>&z&!#=$"2%e]QIX-J>!#;7%7$$"2;$fFZ*)HnJ!#=$"2(=*H<")R61#!#;7$$"1oSsUo,ft!#<$"2:3qU]'Q\@!#;7$$"1kAD$fSlv&!#<$"1s$3^X9C9#!#:7%7$$"0#f.hSY8K!#;$"2C$Q%*zGKoA!#;7$$"03k*G<&GJ(!#;$"1nh0ogDjB!#:7$$"21hBUG.(=d!#=$"2DpU%\gq`B!#;7%7$$"1GSTxTogK!#<$"2c-#G!)psvC!#;7$$"1sfe7;jls!#<$"2V(zr*f/pd#!#;7$$"1z8T`-'=o&!#<$"2xuox(f!\c#!#;7%7$$"1di]-G[3L!#<$"2Oo_StXLo#!#;7$$"1WP\()H$y@(!#<$"2kJZfZQ.z#!#;7$$"1G@X2l9Yc!#<$"1lubW8-wF!#:7%7$$"2wNc7qYkN$!#=$"1GfR<1<"*G!#:7$$"1VOu)3p)pr!#<$"2C2/YAmN+$!#;7$$"2&*QQ<Tg;h&!#=$"2loTITfq)H!#;7%7$$"2ci)HH]A/M!#=$"1`'pQf">*4$!#:7$$"1u8qg24Ar!#<$"1Z.8!)yf;K!#:7$$"2D$G=+!o%yb!#=$"1a[att-)>$!#:7%7$$"2b9o+6E:X$!#=$"1;NbmwR2L!#:7$$"1b=$*z'*yuq!#<$"2U[Y%RWWHM!#;7$$"1"zFOe2ma&!#<$"22qi&y@$*3M!#;7%7$$"1"H$))yE6)\$!#<$"238w'Htx:N!#;7$$"0r;66.#Gq!#;$"2(pQK3u6UO!#;7$$"2DbETK%4;b!#=$"2j*R@B/y>O!#;7%7$$"2:'y<vizVN!#=$"2O/%)y#*=Vs$!#;7$$"1R@#[^>D)p!#<$"1cf6S%GY&Q!#:7$$"1>SgWX#p[&!#<$"2u3/"o#y0$Q!#;7%7$$"0BzzIJ%)e$!#;$"1p">l$4,LR!#:7$$"0x??[%)y$p!#;$"1J3[j!*)p1%!#:7$$"1C[[L'z!fa!#<$"13)z7SJ8/%!#:7%7$$"1@%ott%*y:)!#<$""!!""7$$"1eJE%ot%*G"!#;$""!!""7$$"1&o)GB'\&R6!#;$"1z:j_5UoB!#<7%7$$"1hfZ*Ho6;)!#<$"2ej\#z0Zb?!#<7$$"2QS_!Gj9*G"!#<$"2UO]ntb]:#!#<7$$"2P[X:X<j8"!#<$"1>Q*4:^+O#!#;7%7$$"1H`MQ"34<)!#<$"2D+ypD^86%!#<7$$"2sYlTMs")G"!#<$"2w*>-v8q4V!#<7$$"2$RM"ogtG8"!#<$"2(Hc6oIY#[%!#<7%7$$"1#o2z=xo=)!#<$"0O=qXN!oh!#:7$$"2=B4#Rad'G"!#<$"1R;)4\VNY'!#;7$$"2yt0"y8DH6!#<$"1%*eo"=dRg'!#;7%7$$"1'>%>yyp3#)!#<$"1u"Qy![)eA)!#;7$$"2/e!=qLR%G"!#<$"1E=;c/A;')!#;7$$"2o')RNA([D6!#<$"1.tkN&QWs)!#;7%7$$"1B1\'4weB)!#<$"2&p")[(o@&G5!#;7$$"2w$4N[bn"G"!#<$"21$=^q9uw5!#;7$$"2y3lU7>;7"!#<$"2Apy)**RQ%3"!#;7%7$$"1OW^I0$yE)!#<$"1(RP,mHYB"!#:7$$"2kb[\5![y7!#<$"1.E')Hho"H"!#:7$$"2)e.`s\o<6!#<$"2l'oUZA@'H"!#;7%7$$"1(zBw>CRI)!#<$"2.c'*p<L4W"!#;7$$"2/iP#Q2([F"!#<$"2&RM+X_V1:!#;7$$"2%4-LJ6s86!#<$"2.#HSSt#z]"!#;7%7$$"1r8hk^\V$)!#<$"2c]j7BZuk"!#;7$$"1j)Q:k84F"!#;$"2W\O2#Q(4s"!#;7$$"1Ai9k7w46!#;$"2BxeWRI&><!#;7%7$$"1&)HGmS)eQ)!#<$"1yGb$H"=a=!#:7$$"29qr8vumE"!#<$"2=7Z/R#HN>!#;7$$"2ulFn[Ne5"!#<$"2%e]QIX-J>!#;7%7$$"1JfFUoXI%)!#<$"2(=*H<")R61#!#;7$$"2oSsPZ<AE"!#<$"2:3qU]'Q\@!#;7$$"2kAD)[)p>5"!#<$"1s$3^X9C9#!#:7%7$$"0#f.c>iw%)!#;$"2C$Q%*zGKoA!#;7$$"13kRi4gd7!#;$"1nh0ogDjB!#:7$$"24OAz6'=)4"!#<$"2DpU%\gq`B!#;7%7$$"1FSTs?%Q_)!#<$"2c-#G!)psvC!#;7$$"2sfe2&*yGD"!#<$"2V(zr*f/pd#!#;7$$"2y8T["=]%4"!#<$"2xuox(f!\c#!#;7%7$$"1di](pS;d)!#<$"2Oo_StXLo#!#;7$$"2VP\#)3*4[7!#<$"2kJZfZQ.z#!#;7$$"2F@X-WI44"!#<$"1lubW8-wF!#:7%7$$"1ejD'f/'>')!#<$"1GfR<1<"*G!#:7$$"2UOu$)p-LC"!#<$"2C2/YAmN+$!#;7$$"2*QQnI=[(3"!#<$"2loTITfq)H!#;7%7$$"1D')HCHQn')!#<$"1`'pQf">*4$!#:7$$"2v8qb'[_Q7!#<$"1Z.8!)yf;K!#:7$$"2LG=&*eiT3"!#<$"1a[att-)>$!#:7%7$$"1Y"o]+%o9()!#<$"1;NbmwR2L!#:7$$"2a=$\dZzL7!#<$"2U[Y%RWWHM!#;7$$"1zF'yaw43"!#;$"22qi&y@$*3M!#;7%7$$"1"H$)Qdq7w)!#<$"238w'Htx:N!#;7$$"24n615O"H7!#<$"2(pQK3u6UO!#;7$$"2_l7>ADz2"!#<$"2j*R@B/y>O!#;7%7$$"1iy<qT&p!))!#<$"2O/%)y#*=Vs$!#;7$$"2Q@#)4unXA"!#<$"1cf6S%GY&Q!#:7$$"2=SgRC3]2"!#<$"2u3/"o#y0$Q!#;7%7$$"1H#zH?*e^))!#<$"1p">l$4,LR!#:7$$"2r2-xB/,A"!#<$"1J3[j!*)p1%!#:7$$"2D[[GvBA2"!#<$"13)z7SJ8/%!#:7%7$$"1Uoti_5U8!#;$""!!""7$$"2x:jKZ*y:=!#<$""!!""7$$"2Yo)G7a'em"!#<$"1z:j_5UoB!#<7%7$$"1'fZ*=EVU8!#;$"2ej\#z0Zb?!#<7$$"2QS_q6ia"=!#<$"2UO]ntb]:#!#<7$$"2O[X0CLEm"!#<$"1>Q*4:^+O#!#;7%7$$"1LX$Gg1MM"!#;$"2D+ypD^86%!#<7$$"1na;L")[9=!#;$"2w*>-v8q4V!#<7$$"1RM"eR*=f;!#;$"2(Hc6oIY#[%!#<7%7$$"1o2z2N+X8!#;$"0O=qXN!oh!#:7$$"1K#4#G7*G"=!#;$"1R;)4\VNY'!#;7$$"1Qd5nrcb;!#;$"1%*eo"=dRg'!#;7%7$$"2'>%>od&=Z8!#<$"1u"Qy![)eA)!#;7$$"2-e!=f"42"=!#<$"1E=;c/A;')!#;7$$"2k')RD,.=l"!#<$"1.tkN&QWs)!#;7%7$$"2A1\')R.*\8!#<$"2&p")[(o@&G5!#;7$$"2w$4NP8*z!=!#<$"21$=^q9uw5!#;7$$"2y3lK"\$zk"!#<$"2Apy)**RQ%3"!#;7%7$$"2MW^?%))4`8!#<$"1(RP,mHYB"!#:7$$"2kb[R*ez/=!#<$"1.E')Hho"H"!#:7$$"2(e.`h2+W;!#<$"2l'oUZA@'H"!#;7%7$$"2%zBw3#3nN"!#<$"2.c'*p<L4W"!#;7$$"2/iPs_'=,=!#<$"2&RM+X_V1:!#;7$$"2$4-L?p.S;!#<$"2.#HSSt#z]"!#;7%7$$"1P6Y0`mg8!#;$"2c]j7BZuk"!#;7$$"2G')Q0VHsz"!#<$"2W\O2#Q(4s"!#;7$$"2=AYJ0xgj"!#<$"2BxeWRI&><!#;7%7$$"2%)HGc>/\O"!#<$"1yGb$H"=a=!#:7$$"29qr.a!*Hz"!#<$"2=7Z/R#HN>!#;7$$"2ulFdF^@j"!#<$"2%e]QIX-J>!#;7%7$$"1$fFKZh$p8!#;$"2(=*H<")R61#!#;7$$"2oSsFEL&)y"!#<$"2:3qU]'Q\@!#;7$$"2kADyj&GG;!#<$"1s$3^X9C9#!#:7%7$$"2=f.Y)z(RP"!#<$"2C$Q%*zGKoA!#;7$$"13kR^n"Ry"!#;$"1nh0ogDjB!#:7$$"1hB#p!>]C;!#;$"2DpU%\gq`B!#;7%7$$"2ESTi***py8!#<$"2c-#G!)psvC!#;7$$"2sfe(RZ>z<!#<$"2V(zr*f/pd#!#;7$$"1Q6%Qg<3i"!#;$"2xuox(f!\c#!#;7%7$$"2ci](e)zMQ"!#<$"2Oo_StXLo#!#;7$$"2UP\s([Tu<!#<$"2kJZfZQ.z#!#;7$$"2G@X#HiC<;!#<$"1lubW8-wF!#:7%7$$"2cjD'[iF)Q"!#<$"1GfR<1<"*G!#:7$$"2UOut[='p<!#<$"2C2/YAmN+$!#;7$$"2)QQn>wz8;!#<$"2loTITfq)H!#;7%7$$"2D')H93aIR"!#<$"1`'pQf">*4$!#:7$$"2t8qXlS[w"!#<$"1Z.8!)yf;K!#:7$$"1$G=&y$y/h"!#;$"1a[att-)>$!#:7%7$$"2W"o]*=%y(R"!#<$"1;NbmwR2L!#:7$$"2a=$\Y06g<!#<$"2U[Y%RWWHM!#;7$$"1zF'oL#H2;!#;$"22qi&y@$*3M!#;7%7$$"1H$)QYGW-9!#;$"238w'Htx:N!#;7$$"23n6'*)=Xb<!#<$"2(pQK3u6UO!#;7$$"1bE"4,TUg"!#;$"2j*R@B/y>O!#;7%7$$"1'y<g?6qS"!#;$"2O/%)y#*=Vs$!#;7$$"2P@#)*HN)3v"!#<$"1cf6S%GY&Q!#:7$$"2<SgH.C8g"!#<$"2u3/"o#y0$Q!#;7%7$$"1BzH4ZZ69!#;$"1p">l$4,LR!#:7$$"2p2-n-?ku"!#<$"1J3[j!*)p1%!#:7$$"2C[[=aR&)f"!#<$"13)z7SJ8/%!#:7%7$$"2A%ot_5Uo=!#<$""!!""7$$"2y:jKE0@M#!#<$""!!""7$$"2Zo)G-7=#>#!#<$"1z:j_5UoB!#<7%7$$"2hfZ*3%[(o=!#<$"2ej\#z0Zb?!#<7$$"1/C02zxTB!#;$"2UO]ntb]:#!#<7$$"2P[X0.\*)=#!#<$"1>Q*4:^+O#!#;7%7$$"1LX$GRA(p=!#;$"2D+ypD^86%!#<7$$"1na;BR!3M#!#;$"2w*>-v8q4V!#<7$$"2#RM"e=0b=#!#<$"2(Hc6oIY#[%!#<7%7$$"2$o2z(H>8(=!#<$"0O=qXN!oh!#:7$$"2<B4#=q?RB!#<$"1R;)4\VNY'!#;7$$"2xt0r&H)==#!#<$"1%*eo"=dRg'!#;7%7$$"2)>%>oO,N(=!#<$"1u"Qy![)eA)!#;7$$"2.e!=\\-PB!#<$"1E=;c/A;')!#;7$$"2o')RD!)="y@!#<$"1.tkN&QWs)!#;7%7$$"2B1\')=>i(=!#<$"2&p")[(o@&G5!#;7$$"2y$4NFrIMB!#<$"21$=^q9uw5!#;7$$"1)3lKq]U<#!#;$"2Apy)**RQ%3"!#;7%7$$"2QW^?j9%z=!#<$"1(RP,mHYB"!#:7$$"2jb[Ro66L#!#<$"1.E')Hho"H"!#:7$$"2&e.`^lJq@!#<$"2l'oUZA@'H"!#;7%7$$"2&zBw)*R-$)=!#<$"2.c'*p<L4W"!#;7$$"20iPsJ-vK#!#<$"2&RM+X_V1:!#;7$$"2%4-L5FNm@!#<$"2.#HSSt#z]"!#;7%7$$"1P6Y&4")p)=!#;$"2c]j7BZuk"!#;7$$"1j)Q0AXNK#!#;$"2W\O2#Q(4s"!#;7$$"1Ai9VGRi@!#;$"2BxeWRI&><!#;7%7$$"2&)HGc)*>7*=!#<$"1yGb$H"=a=!#:7$$"2:qr.L1$>B!#<$"2=7Z/R#HN>!#;7$$"2vlFd1n%e@!#<$"2%e]QIX-J>!#;7%7$$"1$fFKExc*=!#;$"2(=*H<")R61#!#;7$$"12Cx_!\[J#!#;$"2:3qU]'Q\@!#;7$$"2lADyU,Y:#!#<$"1s$3^X9C9#!#:7%7$$"1#f.Yx$H+>!#;$"2C$Q%*zGKoA!#;7$$"13kRTDB5B!#;$"1nh0ogDjB!#:7$$"1hB#pp<3:#!#;$"2DpU%\gq`B!#;7%7$$"2FSTiy:]!>!#<$"2c-#G!)psvC!#;7$$"2tfe(H0^0B!#<$"2V(zr*f/pd#!#;7$$"1Q6%QRLr9#!#;$"2xuox(f!\c#!#;7%7$$"2di]([cz4>!#<$"2Oo_StXLo#!#;7$$"2WP\smI2I#!#<$"2kJZfZQ.z#!#;7$$"2E@X#>?cV@!#<$"1lubW8-wF!#:7%7$$"2djD'Q?f9>!#<$"1GfR<1<"*G!#:7$$"2VOutFMfH#!#<$"2C2/YAmN+$!#;7$$"1RQn4M6S@!#;$"2loTITfq)H!#;7%7$$"2F')H9()p$>>!#<$"1`'pQf">*4$!#:7$$"2u8qXWc6H#!#<$"1Z.8!)yf;K!#:7$$"1$G=&oTzO@!#;$"1a[att-)>$!#:7%7$$"2X"o]z**4C>!#<$"1;NbmwR2L!#:7$$"2c=$\OjU'G#!#<$"2U[Y%RWWHM!#;7$$"1zF'o73O8#!#;$"22qi&y@$*3M!#;7%7$$"1H$)QO'e(G>!#;$"238w'Htx:N!#;7$$"1r;hzww"G#!#;$"2(pQK3u6UO!#;7$$"2_l74!obI@!#<$"2j*R@B/y>O!#;7%7$$"2iy<g*pKL>!#<$"2O/%)y#*=Vs$!#;7$$"2Q@#)*>$*>xA!#<$"1cf6S%GY&Q!#:7$$"2=SgH#)Rw7#!#<$"2u3/"o#y0$Q!#;7%7$$"1BzH*\!zP>!#;$"1p">l$4,LR!#:7$$"1x?q;etsA!#;$"1J3[j!*)p1%!#:7$$"2D[[=Lb[7#!#<$"13)z7SJ8/%!#:7%7$$"2B%otUot%R#!#<$""!!""7$$"1eJE`5UoG!#;$""!!""7$$"2ao)G#*p\=F!#<$"1z:j_5UoB!#<7%7$$"2jfZ*)>k]R#!#<$"2ej\#z0Zb?!#<7$$"1/C0(p$4oG!#;$"2UO]ntb]:#!#<7$$"1%[X0#[E:F!#;$"1>Q*4:^+O#!#;7%7$$"1LX$G=QgR#!#;$"2D+ypD^86%!#<7$$"2uYlJr>r'G!#<$"2w*>-v8q4V!#<7$$"2$RM"e(4#=r#!#<$"2(Hc6oIY#[%!#<7%7$$"2#o2z(3NwR#!#<$"0O=qXN!oh!#:7$$"1K#4#3G_lG!#;$"1R;)4\VNY'!#;7$$"2%Qd5Z()>3F!#<$"1%*eo"=dRg'!#;7%7$$"0U>o:<)*R#!#:$"1u"Qy![)eA)!#;7$$"2/e!=R2MjG!#<$"1E=;c/A;')!#;7$$"2m')RDfMWq#!#<$"1.tkN&QWs)!#;7%7$$"2C1\'y\`-C!#<$"2&p")[(o@&G5!#;7$$"1Q4N<HigG!#;$"21$=^q9uw5!#;7$$"1)3lK\m0q#!#;$"2Apy)**RQ%3"!#;7%7$$"2OW^?UIdS#!#<$"1(RP,mHYB"!#:7$$"2nb[RZFu&G!#<$"1.E')Hho"H"!#:7$$"1f.`TBj'p#!#;$"2l'oUZA@'H"!#;7%7$$"2'zBw)yR$4C!#<$"2.c'*p<L4W"!#;7$$"21iPs5=Q&G!#<$"2&RM+X_V1:!#;7$$"0@I.]oEp#!#:$"2.#HSSt#z]"!#;7%7$$"2s8ha)oH8C!#<$"2c]j7BZuk"!#;7$$"2L')Q0,h)\G!#<$"2W\O2#Q(4s"!#;7$$"2BAYJj3()o#!#<$"2BxeWRI&><!#;7%7$$"2')HGcxNvT#!#<$"1yGb$H"=a=!#:7$$"29qr.7Ac%G!#<$"2=7Z/R#HN>!#;7$$"2wlFd&Gy%o#!#<$"2%e]QIX-J>!#;7%7$$"2KfFK0$*>U#!#<$"2(=*H<")R61#!#;7$$"12CxU[;TG!#;$"2:3qU]'Q\@!#;7$$"1E_#y@<4o#!#;$"1s$3^X9C9#!#:7%7$$"1#f.Yc4mU#!#;$"2C$Q%*zGKoA!#;7$$"13kRJ$[l$G!#;$"1nh0ogDjB!#:7$$"1hB#p[Lrn#!#;$"2DpU%\gq`B!#;7%7$$"2GSTidJ8V#!#<$"2c-#G!)psvC!#;7$$"2ufe(>j#=$G!#<$"2V(zr*f/pd#!#;7$$"1Q6%Q=\Mn#!#;$"2xuox(f!\c#!#;7%7$$"2ei](Q96OC!#<$"2Oo_StXLo#!#;7$$"1v$\sXYq#G!#;$"2kJZfZQ.z#!#;7$$"18_C4y()pE!#;$"1lubW8-wF!#:7%7$$"2ejD'Gy!4W#!#<$"1GfR<1<"*G!#:7$$"2XOut1]A#G!#<$"2C2/YAmN+$!#;7$$"2$RQn*>Hkm#!#<$"2loTITfq)H!#;7%7$$"2G')H9m&oXC!#<$"1`'pQf">*4$!#:7$$"2v8qXBsu"G!#<$"1Z.8!)yf;K!#:7$$"1$G=&e*4Jm#!#;$"1a[att-)>$!#:7%7$$"2Y"o]pdT]C!#<$"1;NbmwR2L!#:7$$"2d=$\E@u7G!#<$"2U[Y%RWWHM!#;7$$"1zF'o"R#*fE!#;$"22qi&y@$*3M!#;7%7$$"2#H$)QEW2bC!#<$"238w'Htx:N!#;7$$"1r;hpM33G!#;$"2(pQK3u6UO!#;7$$"1bE"4fsol#!#;$"2j*R@B/y>O!#;7%7$$"2ky<gyU'fC!#<$"2O/%)y#*=Vs$!#;7$$"19A)*4^^.G!#;$"1cf6S%GY&Q!#:7$$"1-/'HhbRl#!#;$"2u3/"o#y0$Q!#;7%7$$"2K#zH*G1TY#!#<$"1p">l$4,LR!#:7$$"1x?q1;0*z#!#;$"1J3[j!*)p1%!#:7$$"2C[[=7r6l#!#<$"13)z7SJ8/%!#:7%7$$"1UotJE0@H!#;$""!!""7$$"1eJEUot%R$!#;$""!!""7$$"1&o)G"y7[C$!#;$"1z:j_5UoB!#<7%7$$"1'fZz)*z8#H!#;$"2ej\#z0Zb?!#<7$$"1/C0'[4WR$!#;$"2UO]ntb]:#!#<7$$"2N[X&41eTK!#<$"1>Q*4:^+O#!#;7%7$$"2E`M=(RNAH!#<$"2D+ypD^86%!#<7$$"1na;-bV$R$!#;$"2w*>-v8q4V!#<7$$"1RM"[wO"QK!#;$"2(Hc6oIY#[%!#<7%7$$"1o2zw3&R#H!#;$"0O=qXN!oh!#:7$$"1K#4sfQ=R$!#;$"1R;)4\VNY'!#;7$$"1Qd5OX^MK!#;$"1%*eo"=dRg'!#;7%7$$"2'>%>e%H8EH!#<$"1u"Qy![)eA)!#;7$$"0e!=Gll*Q$!#:$"1E=;c/A;')!#;7$$"2k')R:Q]2B$!#<$"1.tkN&QWs)!#;7%7$$"1i!\ww])GH!#;$"2&p")[(o@&G5!#;7$$"2w$4N1(QpQ$!#<$"21$=^q9uw5!#;7$$"1)3lAG#)oA$!#;$"2Apy)**RQ%3"!#;7%7$$"2MW^5@Y?$H!#<$"1(RP,mHYB"!#:7$$"2kb[HEVPQ$!#<$"1.E')Hho"H"!#:7$$"2(e.`I"[HA$!#<$"2l'oUZA@'H"!#;7%7$$"2%zBwxblNH!#<$"2.c'*p<L4W"!#;7$$"2/iPi*Q8!Q$!#<$"2&RM+X_V1:!#;7$$"2&4-L*G%)*=K!#<$"2.#HSSt#z]"!#;7%7$$"2n8hWn7'RH!#<$"2c]j7BZuk"!#;7$$"1j)Q&*zwhP$!#;$"2W\O2#Q(4s"!#;7$$"1Ai9AW-:K!#;$"2BxeWRI&><!#;7%7$$"1)HGYc^Q%H!#;$"1yGb$H"=a=!#:7$$"2<qr$4z$>P$!#<$"2=7Z/R#HN>!#;7$$"1ewsW')46K!#;$"2%e]QIX-J>!#;7%7$$"1$fFA%)3$[H!#;$"2(=*H<")R61#!#;7$$"2lSs<j![nL!#<$"2:3qU]'Q\@!#;7$$"1E_#o+Ls?$!#;$"1s$3^X9C9#!#:7%7$$"1#f.ONDH&H!#;$"2C$Q%*zGKoA!#;7$$"2xS'R?T'GO$!#<$"1nh0ogDjB!#:7$$"1hB#fF\M?$!#;$"2DpU%\gq`B!#;7%7$$"2EST_OZw&H!#<$"2c-#G!)psvC!#;7$$"1(fe(3@9eL!#;$"2V(zr*f/pd#!#;7$$"2w8TG(\w*>$!#<$"2xuox(f!\c#!#;7%7$$"1E1vFsUiH!#;$"2Oo_StXLo#!#;7$$"1u$\iCiLN$!#;$"2kJZfZQ.z#!#;7$$"17_C)f$>'>$!#;$"1lubW8-wF!#:7%7$$"2cjDwhBs'H!#<$"1GfR<1<"*G!#:7$$"1kVPcec[L!#;$"2C2/YAmN+$!#;7$$"1RQn))\u#>$!#;$"2loTITfq)H!#;7%7$$"2D')H/X,?(H!#<$"1`'pQf">*4$!#:7$$"1P,dB!)yVL!#;$"1Z.8!)yf;K!#:7$$"1$G=vuD%*=$!#;$"1a[att-)>$!#:7%7$$"2W"o]e:twH!#<$"1;NbmwR2L!#:7$$"2a=$\:z0RL!#<$"2U[Y%RWWHM!#;7$$"1zF'eqRi=$!#;$"22qi&y@$*3M!#;7%7$$"2(G$)Q:-R")H!#<$"238w'Htx:N!#;7$$"1r;he#*RML!#;$"2(pQK3u6UO!#;7$$"2al7*z$)=$=$!#<$"2j*R@B/y>O!#;7%7$$"1'y<]def)H!#;$"2O/%)y#*=Vs$!#;7$$"19A)*)*3$)HL!#;$"1cf6S%GY&Q!#:7$$"2<Sg>Sr-=$!#<$"2u3/"o#y0$Q!#;7%7$$"1BzHy?U!*H!#;$"1p">l$4,LR!#:7$$"1x?q&Rn`K$!#;$"1J3[j!*)p1%!#:7$$"1#[[3"p[xJ!#;$"13)z7SJ8/%!#:7%7$$"1Uot?%otW$!#;$""!!""7$$"2$eJEJE0@R!#<$""!!""7$$"2ao)Gq&G6x$!#<$"1z:j_5UoB!#<7%7$$"2jfZpx&pZM!#<$"2ej\#z0Zb?!#<7$$"1/C0v_s?R!#;$"2UO]ntb]:#!#<7$$"1%[X&)R'*yw$!#;$"1>Q*4:^+O#!#;7%7$$"1LX$3wp'[M!#;$"2D+ypD^86%!#<7$$"2vYl6H^(>R!#<$"2w*>-v8q4V!#<7$$"2%RM"Qb_Ww$!#<$"2(Hc6oIY#[%!#<7%7$$"1o2zlmE]M!#;$"0O=qXN!oh!#:7$$"1K#4iQa"=R!#;$"1R;)4\VNY'!#;7$$"2%Qd5D.$3w$!#<$"1%*eo"=dRg'!#;7%7$$"0U>[t[CX$!#:$"1u"Qy![)eA)!#;7$$"20e!=<B(f"R!#<$"1E=;c/A;')!#;7$$"2n')R0<mqv$!#<$"1.tkN&QWs)!#;7%7$$"2D1\mbm^X$!#<$"2&p")[(o@&G5!#;7$$"1Q4N&\aK"R!#;$"21$=^q9uw5!#;7$$"1)3l72)>`P!#;$"2Apy)**RQ%3"!#;7%7$$"2PW^++i$eM!#<$"1(RP,mHYB"!#:7$$"1d&[>0f+"R!#;$"1.E')Hho"H"!#:7$$"1f.`>RE\P!#;$"2l'oUZA@'H"!#;7%7$$"2(zBwm8(>Y$!#<$"2.c'*p<L4W"!#;7$$"22iP_o\k!R!#<$"2&RM+X_V1:!#;7$$"0@I$y+IXP!#:$"2.#HSSt#z]"!#;7%7$$"1P6Yj%GfY$!#;$"2c]j7BZuk"!#;7$$"2M')Q&)e#\-R!#<$"2W\O2#Q(4s"!#;7$$"2CAY6@S8u$!#<$"2BxeWRI&><!#;7%7$$"2%)HGONn,Z$!#<$"1yGb$H"=a=!#:7$$"1-<P)p`#)*Q!#;$"2=7Z/R#HN>!#;7$$"1ewsLWTPP!#;$"2%e]QIX-J>!#;7%7$$"2OfF7jCYZ$!#<$"2(=*H<")R61#!#;7$$"12Cx?kz$*Q!#;$"2:3qU]'Q\@!#;7$$"1E_#ez[Nt$!#;$"1s$3^X9C9#!#:7%7$$"2Cf.E9T#zM!#<$"2C$Q%*zGKoA!#;7$$"13kR4*z"*)Q!#;$"1nh0ogDjB!#:7$$"1hB#\1l(HP!#;$"2DpU%\gq`B!#;7%7$$"1.9CaJ'R[$!#;$"2c-#G!)psvC!#;7$$"2vfex*yX%)Q!#<$"2V(zr*f/pd#!#;7$$"1Q6%=w!3EP!#;$"2xuox(f!\c#!#;7%7$$"1E1v;Iu)[$!#;$"2Oo_StXLo#!#;7$$"1u$\_.y'zQ!#;$"2kJZfZQ.z#!#;7$$"2D@XsQ4Ds$!#<$"1lubW8-wF!#:7%7$$"1Oci1%RN\$!#;$"1GfR<1<"*G!#:7$$"2XOu`k")[(Q!#<$"2C2/YAmN+$!#;7$$"2%RQnx21>P!#<$"2loTITfq)H!#;7%7$$"1j)H%RsJ)\$!#;$"1`'pQf">*4$!#:7$$"2w8qD"Q5qQ!#<$"1Z.8!)yf;K!#:7$$"2LG=l`Tdr$!#<$"1a[att-)>$!#:7%7$$"2Z"o]Zt/.N!#<$"1;NbmwR2L!#:7$$"1'=$\/PPlQ!#;$"2U[Y%RWWHM!#;7$$"1zF'[\bDr$!#;$"22qi&y@$*3M!#;7%7$$"1H$)Q/gq2N!#;$"238w'Htx:N!#;7$$"29n6w/:2'Q!#<$"2(pQK3u6UO!#;7$$"2dl7*oT]4P!#<$"2j*R@B/y>O!#;7%7$$"1'y<SOuA^$!#;$"2O/%)y#*=Vs$!#;7$$"19A)zoYh&Q!#;$"1cf6S%GY&Q!#:7$$"1-/'4>(e1P!#;$"2u3/"o#y0$Q!#;7%7$$"1BzHnyt;N!#;$"1p">l$4,LR!#:7$$"1x?q%=$o^Q!#;$"1J3[j!*)p1%!#:7$$"2C[[)*p-Qq$!#<$"13)z7SJ8/%!#:7%7$$"1Uot5UotR!#;$""!!""7$$"1eJE@%otW%!#;$""!!""7$$"1&o)GgVW(H%!#;$"1z:j_5UoB!#<7%7$$"1'fZpc6S(R!#;$"2ej\#z0Zb?!#<7$$"1/C0l5/ZW!#;$"2UO]ntb]:#!#<7$$"2P[X&)=7UH%!#<$"1>Q*4:^+O#!#;7%7$$"1LX$3b&)\(R!#;$"2D+ypD^86%!#<7$$"2tYl63ngW%!#<$"2w*>-v8q4V!#<7$$"1RM"QMo2H%!#;$"2(Hc6oIY#[%!#<7%7$$"1o2zbCewR!#;$"0O=qXN!oh!#:7$$"1K#4i<qWW%!#;$"1R;)4\VNY'!#;7$$"2$Qd5:h9(G%!#<$"1%*eo"=dRg'!#;7%7$$"0U>[_k(yR!#:$"1u"Qy![)eA)!#;7$$"2.e!=2")GUW!#<$"1E=;c/A;')!#;7$$"2l')R0'>Q$G%!#<$"1.tkN&QWs)!#;7%7$$"2B1\mM#[")R!#<$"2&p")[(o@&G5!#;7$$"1Q4N&Gq&RW!#;$"21$=^q9uw5!#;7$$"1)3l7'Q^zU!#;$"2Apy)**RQ%3"!#;7%7$$"2NW^+zxY)R!#<$"1(RP,mHYB"!#:7$$"2mb[>%[POW!#<$"1.E')Hho"H"!#:7$$"1f.`4(zbF%!#;$"2l'oUZA@'H"!#;7%7$$"2&zBwcrG))R!#<$"2.c'*p<L4W"!#;7$$"20iP_ZlFV%!#<$"2&RM+X_V1:!#;7$$"2(4-LoehrU!#<$"2.#HSSt#z]"!#;7%7$$"1P6Y`UC#*R!#;$"2c]j7BZuk"!#;7$$"1j)Q&y$3)GW!#;$"2W\O2#Q(4s"!#;7$$"1Ai9,glnU!#;$"2BxeWRI&><!#;7%7$$"1*HGO9$['*R!#;$"1yGb$H"=a=!#:7$$"1,<P)[pXU%!#;$"2=7Z/R#HN>!#;7$$"2vlFPAIPE%!#<$"2%e]QIX-J>!#;7%7$$"2MfF7US4+%!#<$"2(=*H<")R61#!#;7$$"2nSs2@7,U%!#<$"2:3qU]'Q\@!#;7$$"1E_#eek)fU!#;$"1s$3^X9C9#!#:7%7$$"1#f.E$pb0S!#;$"2C$Q%*zGKoA!#;7$$"13kR*p&\:W!#;$"1nh0ogDjB!#:7$$"1hB#\&33cU!#;$"2DpU%\gq`B!#;7%7$$"1.9CW*y-,%!#;$"2c-#G!)psvC!#;7$$"2ufexot2T%!#<$"2V(zr*f/pd#!#;7$$"1Q6%=b'R_U!#;$"2xuox(f!\c#!#;7%7$$"2ai]n!)e],%!#<$"2Oo_StXLo#!#;7$$"2ZP\_#Q*fS%!#<$"2kJZfZQ.z#!#;7$$"18_Cx^#)[U!#;$"1lubW8-wF!#:7%7$$"1Oci'>b)>S!#;$"1GfR<1<"*G!#:7$$"2WOu`V(>,W!#<$"2C2/YAmN+$!#;7$$"1RQnnlPXU!#;$"2loTITfq)H!#;7%7$$"2F')H%HIjCS!#<$"1`'pQf">*4$!#:7$$"2u8qDg>kR%!#<$"1Z.8!)yf;K!#:7$$"1$G=lKd?C%!#;$"1a[att-)>$!#:7%7$$"2X"o]PJOHS!#<$"1;NbmwR2L!#:7$$"2c=$\%\*o"R%!#<$"2U[Y%RWWHM!#;7$$"1zF'[Gr)QU!#;$"22qi&y@$*3M!#;7%7$$"2%H$)Q%z@S.%!#<$"238w'Htx:N!#;7$$"22n6w$3.(Q%!#<$"2(pQK3u6UO!#;7$$"1bE"*e*>eB%!#;$"2j*R@B/y>O!#;7%7$$"1'y<S:!fQS!#;$"2O/%)y#*=Vs$!#;7$$"19A)zZiCQ%!#;$"1cf6S%GY&Q!#:7$$"1-/'4)H!HB%!#;$"2u3/"o#y0$Q!#;7%7$$"1BzHdO0VS!#;$"1p">l$4,LR!#:7$$"1x?qu*)*zP%!#;$"1J3[j!*)p1%!#:7$$"1#[[)*[=,B%!#;$"13)z7SJ8/%!#:7%7$$"1Uot++++X!#;$""!!""7$$"1eJE6Uot\!#;$""!!""7$$"1&o)G],wB[!#;$"1z:j_5UoB!#<7%7$$"1'fZpNF.]%!#;$"2ej\#z0Zb?!#<7$$"1/C0boNt\!#;$"2UO]ntb]:#!#<7$$"2N[X&yz_?[!#<$"1>Q*4:^+O#!#;7%7$$"2E`M3M,8]%!#<$"2D+ypD^86%!#<7$$"1na;rGQs\!#;$"2w*>-v8q4V!#<7$$"1RM"Q8%3<[!#;$"2(Hc6oIY#[%!#<7%7$$"1o2zX#)*G]%!#;$"0O=qXN!oh!#:7$$"1K#4i'fyq\!#;$"1R;)4\VNY'!#;7$$"1Qd50>Y8[!#;$"1%*eo"=dRg'!#;7%7$$"2'>%>[J!30X!#<$"1u"Qy![)eA)!#;7$$"0e!=(*Qgo\!#:$"1E=;c/A;')!#;7$$"2k')R0v(p4[!#<$"1.tkN&QWs)!#;7%7$$"1i!\m8)z2X!#;$"2&p")[(o@&G5!#;7$$"2w$4Nvg)e'\!#<$"21$=^q9uw5!#;7$$"1)3l7lHe![!#;$"2Apy)**RQ%3"!#;7%7$$"2MW^+e$*4^%!#<$"1(RP,mHYB"!#:7$$"2kb[>j!pi\!#<$"1.E')Hho"H"!#:7$$"2(e.`*\&*=![!#<$"2l'oUZA@'H"!#;7%7$$"2%zBwYHg9X!#<$"2.c'*p<L4W"!#;7$$"2/iP_E"3f\!#<$"2&RM+X_V1:!#;7$$"2&4-Le;$zz%!#<$"2.#HSSt#z]"!#;7%7$$"2n8hM/g&=X!#<$"2c]j7BZuk"!#;7$$"1j)Q&oT7b\!#;$"2W\O2#Q(4s"!#;7$$"1Ai9"zrRz%!#;$"2BxeWRI&><!#;7%7$$"1)HGO$*)zAX!#;$"1yGb$H"=a=!#:7$$"2<qr$y_)3&\!#<$"2=7Z/R#HN>!#;7$$"1ews8g/!z%!#;$"2%e]QIX-J>!#;7%7$$"1$fF7@cs_%!#;$"2(=*H<")R61#!#;7$$"2lSs2+Gk%\!#<$"2:3qU]'Q\@!#;7$$"1E_#eP!='y%!#;$"1s$3^X9C9#!#:7%7$$"1#f.Ess=`%!#;$"2C$Q%*zGKoA!#;7$$"2xS'R*[6=%\!#<$"1nh0ogDjB!#:7$$"1hB#\k'R#y%!#;$"2DpU%\gq`B!#;7%7$$"2ESTUt%fOX!#<$"2c-#G!)psvC!#;7$$"1(fexZ*3P\!#;$"2V(zr*f/pd#!#;7$$"2w8T=M7(yZ!#<$"2xuox(f!\c#!#;7%7$$"1E1v'fu8a%!#;$"2Oo_StXLo#!#;7$$"1u$\_h4B$\!#;$"2kJZfZQ.z#!#;7$$"17_Cn49vZ!#;$"1lubW8-wF!#:7%7$$"2cjDm)4<YX!#<$"1GfR<1<"*G!#:7$$"1kVPDK^F\!#;$"2C2/YAmN+$!#;7$$"1RQndBprZ!#;$"2loTITfq)H!#;7%7$$"2D')H%>)[4b%!#<$"1`'pQf">*4$!#:7$$"1P,d#RNF#\!#;$"1Z.8!)yf;K!#:7$$"1$G=l6t$oZ!#;$"1a[att-)>$!#:7%7$$"2W"o]F*ycb%!#<$"1;NbmwR2L!#:7$$"2a=$\%G0!=\!#<$"2U[Y%RWWHM!#;7$$"1zF'[2(=lZ!#;$"22qi&y@$*3M!#;7%7$$"2(G$)Q%eP.c%!#<$"238w'Htx:N!#;7$$"1r;hFmM8\!#;$"2(pQK3u6UO!#;7$$"2`l7*[d8iZ!#<$"2j*R@B/y>O!#;7%7$$"1'y<S%f!\c%!#;$"2O/%)y#*=Vs$!#;7$$"19A)zEy(3\!#;$"1cf6S%GY&Q!#:7$$"2<Sg4x=#fZ!#<$"2u3/"o#y0$Q!#;7%7$$"1BzHZ%p$pX!#;$"1p">l$4,LR!#:7$$"1x?qkZJ/\!#;$"1J3[j!*)p1%!#:7$$"1#[[)zUVcZ!#;$"13)z7SJ8/%!#:7%7$$"1Vot*y:j-&!#;$""!!""7$$"1eJE++++b!#;$""!!""7$$"1%o)GRf2]`!#;$"1z:j_5UoB!#<7%7$$"1(fZf9Vm-&!#;$"2ej\#z0Zb?!#<7$$"1/C0WEn*\&!#;$"2UO]ntb]:#!#<7$$"1%[XvwVoM&!#;$"1>Q*4:^+O#!#;7%7$$"1LX$)HrhF]!#;$"2D+ypD^86%!#<7$$"1na;g')p)\&!#;$"2w*>-v8q4V!#<7$$"0W8G#**RV`!#:$"2(Hc6oIY#[%!#<7%7$$"1p2zMS@H]!#;$"0O=qXN!oh!#:7$$"1K#4_v,r\&!#;$"1R;)4\VNY'!#;7$$"1Pd5%px(R`!#;$"1%*eo"=dRg'!#;7%7$$"0U>Q5'RJ]!#:$"1u"Qy![)eA)!#;7$$"0e!='o>\\&!#:$"1E=;c/A;')!#;7$$"1n)R&RN,O`!#;$"1.tkN&QWs)!#;7%7$$"1j!\c#R6M]!#;$"2&p")[(o@&G5!#;7$$"1P4Nk=?#\&!#;$"21$=^q9uw5!#;7$$"1)3l-WX@L&!#;$"2Apy)**RQ%3"!#;7%7$$"1W90p$4t.&!#;$"1(RP,mHYB"!#:7$$"1d&[4U1!*[&!#;$"1.E')Hho"H"!#:7$$"1f.`)G6#G`!#;$"2l'oUZA@'H"!#;7%7$$"0Qidt=4/&!#:$"2.c'*p<L4W"!#;7$$"1@wBaqR&[&!#;$"2&RM+X_V1:!#;7$$"14-LZuCC`!#;$"2.#HSSt#z]"!#;7%7$$"1Q6YKe([/&!#;$"2c]j7BZuk"!#;7$$"1j)Qv&*R9[&!#;$"2W\O2#Q(4s"!#;7$$"1@i9!e(G?`!#;$"2BxeWRI&><!#;7%7$$"1)HGEs9"\]!#;$"1yGb$H"=a=!#:7$$"1-<Pn5?xa!#;$"2=7Z/R#HN>!#;7$$"1ews-=O;`!#;$"2%e]QIX-J>!#;7%7$$"1$fF-+sN0&!#;$"2(=*H<")R61#!#;7$$"12Cx*yVFZ&!#;$"2:3qU]'Q\@!#;7$$"1F_#[;'\7`!#;$"1s$3^X9C9#!#:7%7$$"1#f.;^)=e]!#;$"2C$Q%*zGKoA!#;7$$"14kRys7oa!#;$"1nh0ogDjB!#:7$$"1hB#RV7(3`!#;$"2DpU%\gq`B!#;7%7$$"1.9CB0"H1&!#;$"2c-#G!)psvC!#;7$$"1)fenE0MY&!#;$"2V(zr*f/pd#!#;7$$"1Q6%38G]I&!#;$"2xuox(f!\c#!#;7%7$$"1E1v&Q!pn]!#;$"2Oo_StXLo#!#;7$$"1u$\USD'ea!#;$"2kJZfZQ.z#!#;7$$"18_CcnX,`!#;$"1lubW8-wF!#:7%7$$"1Ocivn[s]!#;$"1GfR<1<"*G!#:7$$"1kVP9!HQX&!#;$"2C2/YAmN+$!#;7$$"1QQnY"3!)H&!#;$"2loTITfq)H!#;7%7$$"1i)H%3YEx]!#;$"1`'pQf">*4$!#:7$$"1Q,d"=^!\a!#;$"1Z.8!)yf;K!#:7$$"1%G=b!*)o%H&!#;$"1a[att-)>$!#:7%7$$"1:o];Z*>3&!#;$"1;NbmwR2L!#:7$$"1'=$\t5KWa!#;$"2U[Y%RWWHM!#;7$$"1zF'Q'G]"H&!#;$"22qi&y@$*3M!#;7%7$$"1H$)QtLl'3&!#;$"238w'Htx:N!#;7$$"1r;h;CmRa!#;$"2(pQK3u6UO!#;7$$"1bE"z`^%)G&!#;$"2j*R@B/y>O!#;7%7$$"1(y<It@74&!#;$"2O/%)y#*=Vs$!#;7$$"19A)p0%4Na!#;$"1cf6S%GY&Q!#:7$$"1-/'*fX`&G&!#;$"2u3/"o#y0$Q!#;7%7$$"1BzHO_o&4&!#;$"1p">l$4,LR!#:7$$"1x?q`0jIa!#;$"1J3[j!*)p1%!#:7$$"1$[[)o+v#G&!#;$"13)z7SJ8/%!#:7%7$$"1Uoty:j_b!#;$""!!""7$$"1dJE*y:j-'!#;$""!!""7$$"1%o)GG<Rwe!#;$"1z:j_5UoB!#<7%7$$"1'fZ\$*eHb&!#;$"2ej\#z0Zb?!#<7$$"1.C0L%))f-'!#;$"2UO]ntb]:#!#<7$$"1$[XlbfJ(e!#;$"1>Q*4:^+O#!#;7%7$$"1KX$)=H$Rb&!#;$"2D+ypD^86%!#<7$$"1na;\W,Dg!#;$"2w*>-v8q4V!#<7$$"1RM"=r:(pe!#;$"2(Hc6oIY#[%!#<7%7$$"1o2zB)Hbb&!#;$"0O=qXN!oh!#:7$$"1J#4Ua<M-'!#;$"1R;)4\VNY'!#;7$$"1Pd5$[$4me!#;$"1%*eo"=dRg'!#;7%7$$"1>%>G*=rdb!#;$"1u"Qy![)eA)!#;7$$"0e!=vaB@g!#:$"1E=;c/A;')!#;7$$"1m)R&G$HB'e!#;$"1.tkN&QWs)!#;7%7$$"1i!\YrH/c&!#;$"2&p")[(o@&G5!#;7$$"1P4N`w^=g!#;$"21$=^q9uw5!#;7$$"1(3l#H7Yee!#;$"2Apy)**RQ%3"!#;7%7$$"1V90e^ijb!#;$"1(RP,mHYB"!#:7$$"1c&[*4AK:g!#;$"1.E')Hho"H"!#:7$$"1e.`xq_ae!#;$"2l'oUZA@'H"!#;7%7$$"1zBwCXBnb!#;$"2.c'*p<L4W"!#;7$$"0iPK%Gr6g!#:$"2&RM+X_V1:!#;7$$"13-LOKc]e!#;$"2.#HSSt#z]"!#;7%7$$"1P6Y@;>rb!#;$"2c]j7BZuk"!#;7$$"1i)Qlubx+'!#;$"2W\O2#Q(4s"!#;7$$"1Ai9pLgYe!#;$"2BxeWRI&><!#;7%7$$"1)HG;^Iad&!#;$"1yGb$H"=a=!#:7$$"1,<Pco^.g!#;$"2=7Z/R#HN>!#;7$$"1dws"fxE%e!#;$"2%e]QIX-J>!#;7%7$$"1#fF#*y())zb!#;$"2(=*H<")R61#!#;7$$"12Cxy&f!**f!#;$"2:3qU]'Q\@!#;7$$"1E_#Q&>")Qe!#;$"1s$3^X9C9#!#:7%7$$"1"f.1I/Xe&!#;$"2C$Q%*zGKoA!#;7$$"13kRnIW%*f!#;$"1nh0ogDjB!#:7$$"0OAHAG]$e!#:$"2DpU%\gq`B!#;7%7$$"1-9C7jA*e&!#;$"2c-#G!)psvC!#;7$$"1(fed0@(*)f!#;$"2V(zr*f/pd#!#;7$$"1Q6%)>RMJe!#;$"2xuox(f!\c#!#;7%7$$"1D1vuh+%f&!#;$"2Oo_StXLo#!#;7$$"1t$\K>T\)f!#;$"2kJZfZQ.z#!#;7$$"17_CXDxFe!#;$"1lubW8-wF!#:7%7$$"1OcikD!))f&!#;$"1GfR<1<"*G!#:7$$"1jVP.[9!)f!#;$"2C2/YAmN+$!#;7$$"1PQnNRKCe!#;$"2loTITfq)H!#;7%7$$"1h)HuR!e.c!#;$"1`'pQf">*4$!#:7$$"1P,dqpOvf!#;$"1Z.8!)yf;K!#:7$$"1%G=Xp/5#e!#;$"1a[att-)>$!#:7%7$$"19o]00J3c!#;$"1;NbmwR2L!#:7$$"1&=$\iojqf!#;$"2U[Y%RWWHM!#;7$$"1yF'Gl=y"e!#;$"22qi&y@$*3M!#;7%7$$"1G$)Qi"pHh&!#;$"238w'Htx:N!#;7$$"1r;h0#yf'f!#;$"2(pQK3u6UO!#;7$$"1aE"pKnZ"e!#;$"2j*R@B/y>O!#;7%7$$"1'y<?_Pvh&!#;$"2O/%)y#*=Vs$!#;7$$"18A)f%)49'f!#;$"1cf6S%GY&Q!#:7$$"1,/'*[.&="e!#;$"2u3/"o#y0$Q!#;7%7$$"1AzHD5+Ac!#;$"1p">l$4,LR!#:7$$"1w?qUj%p&f!#;$"1J3[j!*)p1%!#:7$$"1#[[y&e14e!#;$"13)z7SJ8/%!#:7%7$$"1Uotot%*yg!#;$""!!""7$$"1dJEz:j_l!#;$""!!""7$$"1%o)G=vq-k!#;$"1z:j_5UoB!#<7%7$$"1'fZ\su#zg!#;$"2ej\#z0Zb?!#<7$$"1.C0BUI_l!#;$"2UO]ntb]:#!#<7$$"1$[XlMv%*R'!#;$"1>Q*4:^+O#!#;7%7$$"1LX$)3([-3'!#;$"2D+ypD^86%!#<7$$"1na;R-L^l!#;$"2w*>-v8q4V!#<7$$"0W8=]JgR'!#:$"2(Hc6oIY#[%!#<7%7$$"1o2z8c%=3'!#;$"0O=qXN!oh!#:7$$"1J#4ULL(\l!#;$"1R;)4\VNY'!#;7$$"1Pd5t#4CR'!#;$"1%*eo"=dRg'!#;7%7$$"0U>GoFS3'!#:$"1u"Qy![)eA)!#;7$$"0e!=l7bZl!#:$"1E=;c/A;')!#;7$$"1m)R&=^k)Q'!#;$"1.tkN&QWs)!#;7%7$$"1j!\Y]Xn3'!#;$"2&p")[(o@&G5!#;7$$"1P4NVM$[a'!#;$"21$=^q9uw5!#;7$$"1)3l#>qx%Q'!#;$"2Apy)**RQ%3"!#;7%7$$"1V90[4%**3'!#;$"1(RP,mHYB"!#:7$$"1c&[***zjTl!#;$"1.E')Hho"H"!#:7$$"1f.`nG%3Q'!#;$"2l'oUZA@'H"!#;7%7$$"1zBw9.b$4'!#;$"2.c'*p<L4W"!#;7$$"0iPKjG!Ql!#:$"2&RM+X_V1:!#;7$$"14-LE!zoP'!#;$"2.#HSSt#z]"!#;7%7$$"1P6Y6u](4'!#;$"2c]j7BZuk"!#;7$$"1i)Ql`rS`'!#;$"2W\O2#Q(4s"!#;7$$"1Ai9f">HP'!#;$"2BxeWRI&><!#;7%7$$"1)HG;IY<5'!#;$"1yGb$H"=a=!#:7$$"1-<PYE$)Hl!#;$"2=7Z/R#HN>!#;7$$"1ews"Q$**oj!#;$"2%e]QIX-J>!#;7%7$$"1$fF#zN?1h!#;$"2(=*H<")R61#!#;7$$"12Cxo`PDl!#;$"2:3qU]'Q\@!#;7$$"1E_#QuF^O'!#;$"1s$3^X9C9#!#:7%7$$"1"f.14?36'!#;$"2C$Q%*zGKoA!#;7$$"13kRd)e2_'!#;$"1nh0ogDjB!#:7$$"1hB#H,W8O'!#;$"2DpU%\gq`B!#;7%7$$"1-9C-@a:h!#;$"2c-#G!)psvC!#;7$$"1(fed%o.;l!#;$"2V(zr*f/pd#!#;7$$"1Q6%)4(fwN'!#;$"2xuox(f!\c#!#;7%7$$"1E1vk>K?h!#;$"2Oo_StXLo#!#;7$$"1u$\K)pD6l!#;$"2kJZfZQ.z#!#;7$$"18_CN$)3aj!#;$"1lubW8-wF!#:7%7$$"1Ocia$=^7'!#;$"1GfR<1<"*G!#:7$$"1kVP$fgk]'!#;$"2C2/YAmN+$!#;7$$"1QQnD(R1N'!#;$"2loTITfq)H!#;7%7$$"1i)Hu='*)Hh!#;$"1`'pQf">*4$!#:7$$"1Q,dgFo,l!#;$"1Z.8!)yf;K!#:7$$"1%G=X[?tM'!#;$"1a[att-)>$!#:7%7$$"19o]&HEY8'!#;$"1;NbmwR2L!#:7$$"1&=$\_E&p\'!#;$"2U[Y%RWWHM!#;7$$"1zF'GWMTM'!#;$"22qi&y@$*3M!#;7%7$$"1H$)Q_\GRh!#;$"238w'Htx:N!#;7$$"1r;h&*RH#\'!#;$"2(pQK3u6UO!#;7$$"1bE"p6$3Tj!#;$"2j*R@B/y>O!#;7%7$$"1'y<?J`Q9'!#;$"2O/%)y#*=Vs$!#;7$$"18A)fjDx['!#;$"1cf6S%GY&Q!#:7$$"1-/'*Qh;Qj!#;$"2u3/"o#y0$Q!#;7%7$$"1BzH:oJ[h!#;$"1p">l$4,LR!#:7$$"1x?qK@E$['!#;$"1J3[j!*)p1%!#:7$$"1$[[yk"QNj!#;$"13)z7SJ8/%!#:7%7$$"1VoteJE0m!#;$""!!""7$$"1eJEpt%*yq!#;$""!!""7$$"1%o)G3L-Hp!#;$"1z:j_5UoB!#<7%7$$"1(fZ\^!f0m!#;$"2ej\#z0Zb?!#<7$$"1/C08+iyq!#;$"2UO]ntb]:#!#<7$$"1%[Xl8"zDp!#;$"1>Q*4:^+O#!#;7%7$$"1LX$))\klg'!#;$"2D+ypD^86%!#<7$$"1na;Hgkxq!#;$"2w*>-v8q4V!#<7$$"0W8=HZB#p!#:$"2(Hc6oIY#[%!#<7%7$$"1p2z.9;3m!#;$"0O=qXN!oh!#:7$$"1K#4U7\g2(!#;$"1R;)4\VNY'!#;7$$"1Pd5j]s=p!#;$"1%*eo"=dRg'!#;7%7$$"0U>GZV.h'!#:$"1u"Qy![)eA)!#;7$$"0e!=bq'Q2(!#:$"1E=;c/A;')!#;7$$"1n)R&34'\"p!#;$"1.tkN&QWs)!#;7%7$$"1j!\YHhIh'!#;$"2&p")[(o@&G5!#;7$$"1P4NL#\62(!#;$"21$=^q9uw5!#;7$$"1)3l#4G46p!#;$"2Apy)**RQ%3"!#;7%7$$"1W90QnD;m!#;$"1(RP,mHYB"!#:7$$"1d&[**y`z1(!#;$"1.E')Hho"H"!#:7$$"1f.`d'er!p!#;$"2l'oUZA@'H"!#;7%7$$"0QiZ5m)>m!#:$"2.c'*p<L4W"!#;7$$"1@wBBWMkq!#;$"2&RM+X_V1:!#;7$$"14-L;[>.p!#;$"2.#HSSt#z]"!#;7%7$$"1Q6Y,K#Qi'!#;$"2c]j7BZuk"!#;7$$"1j)QlK(Qgq!#;$"2W\O2#Q(4s"!#;7$$"1Ai9\\B**o!#;$"2BxeWRI&><!#;7%7$$"1)HG;4i!Gm!#;$"1yGb$H"=a=!#:7$$"1-<PO%[h0(!#;$"2=7Z/R#HN>!#;7$$"1ewsr"4`*o!#;$"2%e]QIX-J>!#;7%7$$"1$fF#p$>Dj'!#;$"2(=*H<")R61#!#;7$$"12Cxe6p^q!#;$"2:3qU]'Q\@!#;7$$"1F_#Q`V9*o!#;$"1s$3^X9C9#!#:7%7$$"1#f.1)e8Pm!#;$"2C$Q%*zGKoA!#;7$$"14kRZY2Zq!#;$"1nh0ogDjB!#:7$$"1hB#H!)fw)o!#;$"2DpU%\gq`B!#;7%7$$"1.9C#*y&=k'!#;$"2c-#G!)psvC!#;7$$"1(fedj_B/(!#;$"2V(zr*f/pd#!#;7$$"1Q6%)*\vR)o!#;$"2xuox(f!\c#!#;7%7$$"1E1vaxjYm!#;$"2Oo_StXLo#!#;7$$"1u$\Kxsv.(!#;$"2kJZfZQ.z#!#;7$$"18_CDTS!)o!#;$"1lubW8-wF!#:7%7$$"1OciWTV^m!#;$"1GfR<1<"*G!#:7$$"1kVP$QwF.(!#;$"2C2/YAmN+$!#;7$$"1QQn:b&p(o!#;$"2loTITfq)H!#;7%7$$"1i)Hu(>@cm!#;$"1`'pQf">*4$!#:7$$"1Q,d]&)*z-(!#;$"1Z.8!)yf;K!#:7$$"1%G=XFOO(o!#;$"1a[att-)>$!#:7%7$$"1:o]&3U4m'!#;$"1;NbmwR2L!#:7$$"1'=$\U%oK-(!#;$"2U[Y%RWWHM!#;7$$"1zF'GB]/(o!#;$"22qi&y@$*3M!#;7%7$$"1H$)QU2glm!#;$"238w'Htx:N!#;7$$"1r;h&y4'=q!#;$"2(pQK3u6UO!#;7$$"1bE"p!*)Rno!#;$"2j*R@B/y>O!#;7%7$$"1(y<?5p,n'!#;$"2O/%)y#*=Vs$!#;7$$"19A)fUTS,(!#;$"1cf6S%GY&Q!#:7$$"1-/'*G>[ko!#;$"2u3/"o#y0$Q!#;7%7$$"1BzH0Ejum!#;$"1p">l$4,LR!#:7$$"1x?qAzd4q!#;$"1J3[j!*)p1%!#:7$$"1$[[yV(pho!#;$"13)z7SJ8/%!#:7%7$$"1VotZ*y:8(!#;$""!!""7$$"1eJEeJE0w!#;$""!!""7$$"1&o)G(4R`X(!#;$"1z:j_5UoB!#<7%7$$"1(fZRI1>8(!#;$"2ej\#z0Zb?!#<7$$"1/C0-e$\g(!#;$"2UO]ntb]:#!#<7$$"1%[Xb#p5_u!#;$"1>Q*4:^+O#!#;7%7$$"1LX$yG!)G8(!#;$"2D+ypD^86%!#<7$$"1oa;=='Rg(!#;$"2w*>-v8q4V!#<7$$"0W833j'[u!#:$"2(Hc6oIY#[%!#<7%7$$"1p2z#>xW8(!#;$"0O=qXN!oh!#:7$$"1K#4K"\O-w!#;$"1R;)4\VNY'!#;7$$"1Qd5_3/Xu!#;$"1%*eo"=dRg'!#;7%7$$"0U>=Efm8(!#:$"1u"Qy![)eA)!#;7$$"1"e!=WG=+w!#;$"1E=;c/A;')!#;7$$"1n)Rvpw7W(!#;$"1.tkN&QWs)!#;7%7$$"1j!\O3x$Rr!#;$"2&p")[(o@&G5!#;7$$"1Q4NA]Y(f(!#;$"21$=^q9uw5!#;7$$"1)3l#)f3uV(!#;$"2Apy)**RQ%3"!#;7%7$$"1W90FDdUr!#;$"1(RP,mHYB"!#:7$$"1d&[*y&pUf(!#;$"1.E')Hho"H"!#:7$$"1f.`YWZLu!#;$"2l'oUZA@'H"!#;7%7$$"0QiP*==Yr!#:$"2.c'*p<L4W"!#;7$$"1@wB7-m!f(!#;$"2&RM+X_V1:!#;7$$"0@I`g5&Hu!#:$"2.#HSSt#z]"!#;7%7$$"1Q6Y!**Q,:(!#;$"2c]j7BZuk"!#;7$$"1j)Qb6.ne(!#;$"2W\O2#Q(4s"!#;7$$"1Bi9Q2bDu!#;$"2BxeWRI&><!#;7%7$$"1*HG1)yPar!#;$"1yGb$H"=a=!#:7$$"1-<PDUY#e(!#;$"2=7Z/R#HN>!#;7$$"1fwsg\i@u!#;$"2%e]QIX-J>!#;7%7$$"1$fF#e^$)er!#;$"2(=*H<")R61#!#;7$$"13CxZp+yv!#;$"2:3qU]'Q\@!#;7$$"1F_#GKfxT(!#;$"1s$3^X9C9#!#:7%7$$"1#f.'p;Xjr!#;$"2C$Q%*zGKoA!#;7$$"14kRO/Rtv!#;$"1nh0ogDjB!#:7$$"1iB#>fvRT(!#;$"2DpU%\gq`B!#;7%7$$"1.9C"ot"or!#;$"2c-#G!)psvC!#;7$$"1)feZUo'ov!#;$"2V(zr*f/pd#!#;7$$"1R6%))G"H5u!#;$"2xuox(f!\c#!#;7%7$$"1E1vVN&H<(!#;$"2Oo_StXLo#!#;7$$"1v$\Ac))Qc(!#;$"2kJZfZQ.z#!#;7$$"18_C9*>nS(!#;$"1lubW8-wF!#:7%7$$"1PciL*\x<(!#;$"1GfR<1<"*G!#:7$$"1kVPs@4fv!#;$"2C2/YAmN+$!#;7$$"1RQn/8F.u!#;$"2loTITfq)H!#;7%7$$"1j)HkwFD=(!#;$"1`'pQf">*4$!#:7$$"1Q,dRVJav!#;$"1Z.8!)yf;K!#:7$$"1&G=N1_**R(!#;$"1a[att-)>$!#:7%7$$"1:o]uyD(=(!#;$"1;NbmwR2L!#:7$$"1'=$\JUe\v!#;$"2U[Y%RWWHM!#;7$$"0yi=-mnR(!#:$"22qi&y@$*3M!#;7%7$$"1H$)QJl">>(!#;$"238w'Htx:N!#;7$$"1s;hub#\a(!#;$"2(pQK3u6UO!#;7$$"1bE"fp9PR(!#;$"2j*R@B/y>O!#;7%7$$"1(y<5*[['>(!#;$"2O/%)y#*=Vs$!#;7$$"19A)\@d.a(!#;$"1cf6S%GY&Q!#:7$$"1-/'zr(z!R(!#;$"2u3/"o#y0$Q!#;7%7$$"1CzH%R[4?(!#;$"1p">l$4,LR!#:7$$"1x?q6P*e`(!#;$"1J3[j!*)p1%!#:7$$"1$[[oA8!)Q(!#;$"13)z7SJ8/%!#:7%7$$"1VotOZ*yl(!#;$""!!""7$$"1eJEZ*y:8)!#;$""!!""7$$"1&o)G')[l")z!#;$"1z:j_5UoB!#<7%7$$"1(fZH4A#ew!#;$"2ej\#z0Zb?!#<7$$"1/C0"f^78)!#;$"2UO]ntb]:#!#<7$$"1%[XXrA%yz!#;$"1>Q*4:^+O#!#;7%7$$"1MX$o2'>fw!#;$"2D+ypD^86%!#<7$$"1oa;2wFI")!#;$"2w*>-v8q4V!#<7$$"0W8)p)y\(z!#:$"2(Hc6oIY#[%!#<7%7$$"1p2z")Hzgw!#;$"0O=qXN!oh!#:7$$"1K#4Aq!oG")!#;$"1R;)4\VNY'!#;7$$"1Qd5TmNrz!#;$"1%*eo"=dRg'!#;7%7$$"0U>30vHm(!#:$"1u"Qy![)eA)!#;7$$"1"e!=L')\E")!#;$"1E=;c/A;')!#;7$$"1n)Rl[#fnz!#;$"1.tkN&QWs)!#;7%7$$"1k!\E(Gplw!#;$"2&p")[(o@&G5!#;7$$"1Q4N63yB")!#;$"21$=^q9uw5!#;7$$"1*3lsQCP'z!#;$"2Apy)**RQ%3"!#;7%7$$"1W90;$)))ow!#;$"1(RP,mHYB"!#:7$$"1d&[zO&e?")!#;$"1.E')Hho"H"!#:7$$"0OIbB!zfz!#:$"2l'oUZA@'H"!#;7%7$$"0QiFo(\sw!#:$"2.c'*p<L4W"!#;7$$"1@wB,g(p6)!#;$"2&RM+X_V1:!#;7$$"0@IVREe&z!#:$"2.#HSSt#z]"!#;7%7$$"1Q6YzZXww!#;$"2c]j7BZuk"!#;7$$"1j)QX!*=I6)!#;$"2W\O2#Q(4s"!#;7$$"1Bi9Fl'=&z!#;$"2BxeWRI&><!#;7%7$$"1*HG'pOp!o(!#;$"1yGb$H"=a=!#:7$$"1.<P9+y3")!#;$"2=7Z/R#HN>!#;7$$"1fws\2%z%z!#;$"2%e]QIX-J>!#;7%7$$"1%fFs%4:&o(!#;$"2(=*H<")R61#!#;7$$"13CxOFK/")!#;$"2:3qU]'Q\@!#;7$$"1F_#=6vS%z!#;$"1s$3^X9C9#!#:7%7$$"1#f.'euw*o(!#;$"2C$Q%*zGKoA!#;7$$"14kRDiq*4)!#;$"1nh0ogDjB!#:7$$"1iB#4Q"HSz!#;$"2DpU%\gq`B!#;7%7$$"1/9Cq%*[%p(!#;$"2c-#G!)psvC!#;7$$"1)feP@%)\4)!#;$"2V(zr*f/pd#!#;7$$"1R6%y22m$z!#;$"2xuox(f!\c#!#;7%7$$"1F1vK$p#*p(!#;$"2Oo_StXLo#!#;7$$"1v$\7N/-4)!#;$"2kJZfZQ.z#!#;7$$"19_C.d.Lz!#;$"1lubW8-wF!#:7%7$$"1PciAd1/x!#;$"1GfR<1<"*G!#:7$$"1lVPhzS&3)!#;$"2C2/YAmN+$!#;7$$"1RQn$4(eHz!#;$"2loTITfq)H!#;7%7$$"1j)HabV)3x!#;$"1`'pQf">*4$!#:7$$"1R,dG,j!3)!#;$"1Z.8!)yf;K!#:7$$"1&G=D&yEEz!#;$"1a[att-)>$!#:7%7$$"1:o]jOd8x!#;$"1;NbmwR2L!#:7$$"1'=$\?+!f2)!#;$"2U[Y%RWWHM!#;7$$"0yi3"=3Bz!#:$"22qi&y@$*3M!#;7%7$$"0L)Q?BB=x!#:$"238w'Htx:N!#;7$$"1s;hj8Cr!)!#;$"2(pQK3u6UO!#;7$$"1cE"\[I+#z!#;$"2j*R@B/y>O!#;7%7$$"1(y<+o+Gs(!#;$"2O/%)y#*=Vs$!#;7$$"19A)R+tm1)!#;$"1cf6S%GY&Q!#:7$$"1./'p]8r"z!#;$"2u3/"o#y0$Q!#;7%7$$"1CzH$=kss(!#;$"1p">l$4,LR!#:7$$"1y?q+&4A1)!#;$"1J3[j!*)p1%!#:7$$"1%[[e,HV"z!#;$"13)z7SJ8/%!#:7%7$$"1VotE0@%=)!#;$""!!""7$$"1eJEPZ*yl)!#;$""!!""7$$"1%o)Gw1(z])!#;$"1z:j_5UoB!#<7%7$$"1(fZH)y`%=)!#;$"2ej\#z0Zb?!#<7$$"1.C0"Qnvl)!#;$"2UO]ntb]:#!#<7$$"1%[XX]QZ])!#;$"1>Q*4:^+O#!#;7%7$$"1LX$o'=^&=)!#;$"2D+ypD^86%!#<7$$"1na;(R$fc')!#;$"2w*>-v8q4V!#<7$$"0W8)fYH,&)!#:$"2(Hc6oIY#[%!#<7%7$$"1p2zr(3r=)!#;$"0O=qXN!oh!#:7$$"1K#4A\'*\l)!#;$"1R;)4\VNY'!#;7$$"1Pd5JCn(\)!#;$"1%*eo"=dRg'!#;7%7$$"0U>3%3H*=)!#:$"1u"Qy![)eA)!#;7$$"0e!=BW"Gl)!#:$"1E=;c/A;')!#;7$$"1n)RlF3R\)!#;$"1.tkN&QWs)!#;7%7$$"1j!\Em3?>)!#;$"2&p")[(o@&G5!#;7$$"1P4N,m4]')!#;$"21$=^q9uw5!#;7$$"1)3ls<S+\)!#;$"2Apy)**RQ%3"!#;7%7$$"1W901T?&>)!#;$"1(RP,mHYB"!#:7$$"1d&[z:,pk)!#;$"1.E')Hho"H"!#:7$$"1f.`Dg5'[)!#;$"2l'oUZA@'H"!#;7%7$$"0QiFZ8))>)!#:$"2.c'*p<L4W"!#;7$$"1@wB"z"HV')!#;$"2&RM+X_V1:!#;7$$"14-L%=U@[)!#;$"2.#HSSt#z]"!#;7%7$$"1P6Yp0x-#)!#;$"2c]j7BZuk"!#;7$$"1j)QXpM$R')!#;$"2W\O2#Q(4s"!#;7$$"1@i9<B=y%)!#;$"2BxeWRI&><!#;7%7$$"1)HG'f%4q?)!#;$"1yGb$H"=a=!#:7$$"1-<P/e4N')!#;$"2=7Z/R#HN>!#;7$$"1ewsRlDu%)!#;$"2%e]QIX-J>!#;7%7$$"1$fFstm9@)!#;$"2(=*H<")R61#!#;7$$"12CxE&Q1j)!#;$"2:3qU]'Q\@!#;7$$"1F_#=!4Rq%)!#;$"1s$3^X9C9#!#:7%7$$"1#f.'[K3;#)!#;$"2C$Q%*zGKoA!#;7$$"13kR:?-E')!#;$"1nh0ogDjB!#:7$$"1hB#4<2mY)!#;$"2DpU%\gq`B!#;7%7$$"1.9Cg_!3A)!#;$"2c-#G!)psvC!#;7$$"1(feP++8i)!#;$"2V(zr*f/pd#!#;7$$"1Q6%y'G#HY)!#;$"2xuox(f!\c#!#;7%7$$"1E1vA^eD#)!#;$"2Oo_StXLo#!#;7$$"1u$\79?lh)!#;$"2kJZfZQ.z#!#;7$$"18_C$\^$f%)!#;$"1lubW8-wF!#:7%7$$"1Oci7:QI#)!#;$"1GfR<1<"*G!#:7$$"1kVP^Ps6')!#;$"2C2/YAmN+$!#;7$$"1QQn$)G!fX)!#;$"2loTITfq)H!#;7%7$$"1i)HaMf^B)!#;$"1`'pQf">*4$!#:7$$"1Q,d=f%pg)!#;$"1Z.8!)yf;K!#:7$$"1%G=Dk$e_%)!#;$"1a[att-)>$!#:7%7$$"1:o]`%*))R#)!#;$"1;NbmwR2L!#:7$$"1'=$\5e@-')!#;$"2U[Y%RWWHM!#;7$$"1zF'3g(R\%)!#;$"22qi&y@$*3M!#;7%7$$"1H$)Q5"[XC)!#;$"238w'Htx:N!#;7$$"1r;h`rb(f)!#;$"2(pQK3u6UO!#;7$$"1bE"\FYjW)!#;$"2j*R@B/y>O!#;7%7$$"1(y<+Z;"\#)!#;$"2O/%)y#*=Vs$!#;7$$"19A)Rz))Hf)!#;$"1cf6S%GY&Q!#:7$$"1-/'pHHMW)!#;$"2u3/"o#y0$Q!#;7%7$$"1BzHt*zND)!#;$"1p">l$4,LR!#:7$$"1x?q!HD&)e)!#;$"1J3[j!*)p1%!#:7$$"1$[[e![kS%)!#;$"13)z7SJ8/%!#:7%7$$"1Uot;j_5()!#;$""!!""7$$"1dJEF0@%=*!#;$""!!""7$$"1$o)GmkGM!*!#;$"1z:j_5UoB!#<7%7$$"1'fZHn`3r)!#;$"2ej\#z0Zb?!#<7$$"1.C0rJ)Q=*!#;$"2UO]ntb]:#!#<7$$"1$[XXHa5.*!#;$"1>Q*4:^+O#!#;7%7$$"1KX$olF=r)!#;$"2D+ypD^86%!#<7$$"1na;(=4H=*!#;$"2w*>-v8q4V!#<7$$"1RM")\/hF!*!#;$"2(Hc6oIY#[%!#<7%7$$"1o2zhXU8()!#;$"0O=qXN!oh!#:7$$"1J#4AG78=*!#;$"1R;)4\VNY'!#;7$$"1Pd5@#))R-*!#;$"1%*eo"=dRg'!#;7%7$$"1>%>3j1cr)!#;$"1u"Qy![)eA)!#;7$$"0e!=8-8z"*!#:$"1E=;c/A;')!#;7$$"1m)Rl1C--*!#;$"1.tkN&QWs)!#;7%7$$"1i!\EXC$=()!#;$"2&p")[(o@&G5!#;7$$"1P4N"R7k<*!#;$"21$=^q9uw5!#;7$$"1(3ls'fN;!*!#;$"2Apy)**RQ%3"!#;7%7$$"1V90'*)>:s)!#;$"1(RP,mHYB"!#:7$$"1c&[z%p@t"*!#;$"1.E')Hho"H"!#:7$$"1e.`:=U7!*!#;$"2l'oUZA@'H"!#;7%7$$"1zBwi#H^s)!#;$"2.c'*p<L4W"!#;7$$"0iP7e2'p"*!#:$"2&RM+X_V1:!#;7$$"13-LuzX3!*!#;$"2.#HSSt#z]"!#;7%7$$"1P6Yfj3H()!#;$"2c]j7BZuk"!#;7$$"1i)QX[]c;*!#;$"2W\O2#Q(4s"!#;7$$"1Ai92")\/!*!#;$"2BxeWRI&><!#;7%7$$"1)HG'\_KL()!#;$"1yGb$H"=a=!#:7$$"1,<P%f69;*!#;$"2=7Z/R#HN>!#;7$$"1dwsHBd+!*!#;$"2%e]QIX-J>!#;7%7$$"1#fFs_#yP()!#;$"2(=*H<")R61#!#;7$$"12Cx;V&p:*!#;$"2:3qU]'Q\@!#;7$$"1E_#=p1n**)!#;$"1s$3^X9C9#!#:7%7$$"1"f.'Q!*RU()!#;$"2C$Q%*zGKoA!#;7$$"13kR0yL_"*!#;$"1nh0ogDjB!#:7$$"0OA4'H#H**)!#:$"2DpU%\gq`B!#;7%7$$"1-9C]57Z()!#;$"2c-#G!)psvC!#;7$$"1(fePz:w9*!#;$"2V(zr*f/pd#!#;7$$"1Q6%ylQ#*)*)!#;$"2xuox(f!\c#!#;7%7$$"1D1v74!>v)!#;$"2Oo_StXLo#!#;7$$"1t$\7$f$G9*!#;$"2kJZfZQ.z#!#;7$$"17_C$Gnc)*)!#;$"1lubW8-wF!#:7%7$$"1Oci-tpc()!#;$"1GfR<1<"*G!#:7$$"1jVPT&R!Q"*!#;$"2C2/YAmN+$!#;7$$"1PQnt'=A)*)!#;$"2loTITfq)H!#;7%7$$"1h)Ha8v9w)!#;$"1`'pQf">*4$!#:7$$"1P,d3<EL"*!#;$"1Z.8!)yf;K!#:7$$"1%G=DV**)y*)!#;$"1a[att-)>$!#:7%7$$"19o]V_?m()!#;$"1;NbmwR2L!#:7$$"1&=$\+;`G"*!#;$"2U[Y%RWWHM!#;7$$"1yF'3R8d(*)!#;$"22qi&y@$*3M!#;7%7$$"1G$)Q+R'3x)!#;$"238w'Htx:N!#;7$$"1r;hVH(Q7*!#;$"2(pQK3u6UO!#;7$$"1aE"\1iE(*)!#;$"2j*R@B/y>O!#;7%7$$"1'y<+EKax)!#;$"2O/%)y#*=Vs$!#;7$$"18A)Re/$>"*!#;$"1cf6S%GY&Q!#:7$$"1,/'p3X(p*)!#;$"2u3/"o#y0$Q!#;7%7$$"1AzHjd*)z()!#;$"1p">l$4,LR!#:7$$"1w?q!3T[6*!#;$"1J3[j!*)p1%!#:7$$"1#[[efgp'*)!#;$"13)z7SJ8/%!#:7%7$$"1Uot0@%oB*!#;$""!!""7$$"1dJE;j_5(*!#;$""!!""7$$"1%o)GbAgg&*!#;$"1z:j_5UoB!#<7%7$$"1'fZ>YprB*!#;$"2ej\#z0Zb?!#<7$$"1.C0g*)>5(*!#;$"2UO]ntb]:#!#<7$$"1$[XN3qtb*!#;$"1>Q*4:^+O#!#;7%7$$"1KX$eWV"Q#*!#;$"2D+ypD^86%!#<7$$"1na;w\A4(*!#;$"2w*>-v8q4V!#<7$$"1RM")Qi#Rb*!#;$"2(Hc6oIY#[%!#<7%7$$"1o2z].uR#*!#;$"0O=qXN!oh!#:7$$"1J#472Gwq*!#;$"1R;)4\VNY'!#;7$$"1Pd55SI]&*!#;$"1%*eo"=dRg'!#;7%7$$"1>%>)>C#>C*!#;$"1u"Qy![)eA)!#;7$$"0e!=-gW0(*!#:$"1E=;c/A;')!#;7$$"1m)Rb&)Rla*!#;$"1.tkN&QWs)!#;7%7$$"1j!\;CSYC*!#;$"2&p")[(o@&G5!#;7$$"1P4N!=GFq*!#;$"21$=^q9uw5!#;7$$"1)3livrEa*!#;$"2Apy)**RQ%3"!#;7%7$$"1V90&oNyC*!#;$"1(RP,mHYB"!#:7$$"1c&[ptK&*p*!#;$"1.E')Hho"H"!#:7$$"1e.`/wtQ&*!#;$"2l'oUZA@'H"!#;7%7$$"1zBw^]W^#*!#;$"2.c'*p<L4W"!#;7$$"0iP-PBfp*!#:$"2&RM+X_V1:!#;7$$"14-LjPxM&*!#;$"2.#HSSt#z]"!#;7%7$$"1P6Y[@Sb#*!#;$"2c]j7BZuk"!#;7$$"1i)QNFm>p*!#;$"2W\O2#Q(4s"!#;7$$"1Ai9'*Q"3`*!#;$"2BxeWRI&><!#;7%7$$"1)HG'Q5kf#*!#;$"1yGb$H"=a=!#:7$$"1,<P$QFxo*!#;$"2=7Z/R#HN>!#;7$$"1ews="))o_*!#;$"2%e]QIX-J>!#;7%7$$"1$fFiJ)4k#*!#;$"2(=*H<")R61#!#;7$$"12Cx0,F$o*!#;$"2:3qU]'Q\@!#;7$$"1E_#3[AI_*!#;$"1s$3^X9C9#!#:7%7$$"1"f.w#[ro#*!#;$"2C$Q%*zGKoA!#;7$$"13kR%f`'y'*!#;$"1nh0ogDjB!#:7$$"1hB#*\(Q#>&*!#;$"2DpU%\gq`B!#;7%7$$"1-9CRoVt#*!#;$"2c-#G!)psvC!#;7$$"1(feFeJRn*!#;$"2V(zr*f/pd#!#;7$$"1Q6%oWab^*!#;$"2xuox(f!\c#!#;7%7$$"1E1v,n@y#*!#;$"2Oo_StXLo#!#;7$$"1u$\-s^"p'*!#;$"2kJZfZQ.z#!#;7$$"18_CsI)>^*!#;$"1lubW8-wF!#:7%7$$"1Oci"48IG*!#;$"1GfR<1<"*G!#:7$$"1jVPI`Nk'*!#;$"2C2/YAmN+$!#;7$$"1QQniW`3&*!#;$"2loTITfq)H!#;7%7$$"1i)HW#4z(G*!#;$"1`'pQf">*4$!#:7$$"1Q,d(\x&f'*!#;$"1Z.8!)yf;K!#:7$$"1%G=:A:_]*!#;$"1a[att-)>$!#:7%7$$"19o]K5_#H*!#;$"1;NbmwR2L!#:7$$"1&=$\*QZ[l*!#;$"2U[Y%RWWHM!#;7$$"1zF')z"H?]*!#;$"22qi&y@$*3M!#;7%7$$"1H$)Q*ozrH*!#;$"238w'Htx:N!#;7$$"1r;hK()=]'*!#;$"2(pQK3u6UO!#;7$$"1bE"R&y(*)\*!#;$"2j*R@B/y>O!#;7%7$$"1'y<!\![<I*!#;$"2O/%)y#*=Vs$!#;7$$"18A)HP?ck*!#;$"1cf6S%GY&Q!#:7$$"1,/'f(31'\*!#;$"2u3/"o#y0$Q!#;7%7$$"1BzH_:@1$*!#;$"1p">l$4,LR!#:7$$"1x?qpo:T'*!#;$"1J3[j!*)p1%!#:7$$"1#[[[QwK\*!#;$"13)z7SJ8/%!#:7%7$$"1Uot%*y:j(*!#;$""!!""7$$"2eJE0@%oB5!#;$""!!""7$$"2%o)GW!=p35!#;$"1z:j_5UoB!#<7%7$$"1(fZ4D&[j(*!#;$"2ej\#z0Zb?!#<7$$"2.C0\Z^O-"!#;$"2UO]ntb]:#!#<7$$"2$[XD(eo$35!#;$"1>Q*4:^+O#!#;7%7$$"1LX$[BfWw*!#;$"2D+ypD^86%!#<7$$"2na;l2aN-"!#;$"2w*>-v8q4V!#<7$$"1W8y-U-35!#:$"2(Hc6oIY#[%!#<7%7$$"1p2zRh0m(*!#;$"0O=qXN!oh!#:7$$"2J#4-'Q%RB5!#;$"1R;)4\VNY'!#;7$$"2Pd5*z>m25!#;$"1%*eo"=dRg'!#;7%7$$"0U>)3#Q#o(*!#:$"1u"Qy![)eA)!#;7$$"1e!="zh<B5!#:$"1E=;c/A;')!#;7$$"2m)RXkbG25!#;$"1.tkN&QWs)!#;7%7$$"1j!\1.c4x*!#;$"2&p")[(o@&G5!#;7$$"2P4NpR/H-"!#;$"21$=^q9uw5!#;7$$"2(3l_a()*o+"!#;$"2Apy)**RQ%3"!#;7%7$$"1V90u9:u(*!#;$"1(RP,mHYB"!#:7$$"2b&[f_[eA5!#;$"1.E')Hho"H"!#:7$$"2f.`$R`]15!#;$"2l'oUZA@'H"!#;7%7$$"0Qi2%3wx(*!#:$"2.c'*p<L4W"!#;7$$"1iP#f"RAA5!#:$"2&RM+X_V1:!#;7$$"1@IBb*3h+"!#:$"2.#HSSt#z]"!#;7%7$$"1P6YPzr"y*!#;$"2c]j7BZuk"!#;7$$"2k)QD1#G=-"!#;$"2W\O2#Q(4s"!#;7$$"2Ai9&oHr05!#;$"2BxeWRI&><!#;7%7$$"1)HGw#o&fy*!#;$"1yGb$H"=a=!#:7$$"0<PsJ/9-"!#9$"2=7Z/R#HN>!#;7$$"2dws2R?`+"!#;$"2%e]QIX-J>!#;7%7$$"1$fF_59/z*!#;$"2(=*H<")R61#!#;7$$"21Cx%*ee4-"!#;$"2:3qU]'Q\@!#;7$$"2D_#)p#Q$\+"!#;$"1s$3^X9C9#!#:7%7$$"1#f.mhI]z*!#;$"2C$Q%*zGKoA!#;7$$"22kR$Qp\?5!#;$"1nh0ogDjB!#:7$$"1OA*QXbX+"!#:$"2DpU%\gq`B!#;7%7$$"1.9CGEv*z*!#;$"2c-#G!)psvC!#;7$$"2(fe<PZ-?5!#;$"2V(zr*f/pd#!#;7$$"2P6%eBq=/5!#;$"2xuox(f!\c#!#;7%7$$"1E1v!\KX!)*!#;$"2Oo_StXLo#!#;7$$"2u$\#4vY&>5!#;$"2kJZfZQ.z#!#;7$$"27_Ch))HQ+"!#;$"1lubW8-wF!#:7%7$$"1Oci!))G$4)*!#;$"1GfR<1<"*G!#:7$$"2kVP>6n!>5!#;$"2C2/YAmN+$!#;7$$"1%Qn^-&[.5!#:$"2loTITfq)H!#;7%7$$"1i)HMr1T")*!#;$"1`'pQf">*4$!#:7$$"2Q,d'G$*e=5!#;$"1Z.8!)yf;K!#:7$$"2%G=0,J:.5!#;$"1a[att-)>$!#:7%7$$"19o]@o$)=)*!#;$"1;NbmwR2L!#:7$$"2%=$\yJ;"=5!#;$"2U[Y%RWWHM!#;7$$"1yi)o\MG+"!#:$"22qi&y@$*3M!#;7%7$$"1H$)Qya\B)*!#;$"238w'Htx:N!#;7$$"2r;h@X]w,"!#;$"2(pQK3u6UO!#;7$$"2cE"Hk$HD+"!#;$"2j*R@B/y>O!#;7%7$$"1'y<!QQ1G)*!#;$"2O/%)y#*=Vs$!#;7$$"29A)>;O><5!#;$"1cf6S%GY&Q!#:7$$"2-/'\mwB-5!#;$"2u3/"o#y0$Q!#;7%7$$"1BzHTt_K)*!#;$"1p">l$4,LR!#:7$$"2x?qeEZn,"!#;$"1J3[j!*)p1%!#:7$$"2#[[Q<#f>+"!#;$"13)z7SJ8/%!#:-%&COLORG6]dl%$HUEG$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""-%*THICKNESSG6#""!-%%VIEWG6$;$!+Z*y:j#!#6$"+*y:j-"!"*;$!+z:j_5!#5$"+eJE0T!"*-%+AXESLABELSG6'Q"x6"Q%y(x)6"-%%FONTG6%%!G%!G"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$]%!""-%)BOUNDS_YG6#$"#]!""-%-BOUNDS_WIDTHG6#$"%5N!""-%.BOUNDS_HEIGHTG6#$"%?O!""-%)CHILDRENG6"

You try to follow the arrows along a line from (0,1) to wherever that takes you at the other end. I got 2.5 once, and 3.0 the other time, all the while knowing, as you now know, that the real answer was y(1)=e=2.7182818284... But, one cannot eyeball six places, or even 2. New topic: Stefan's law of radiative cooling. Suppose we have something very hot, sitting out in space. (For that matter, it could be sitting on an insulated patch of ground, exposed to the night sky.) It will cool off, entirely (in space) or predominantly (on the ground) by radiative cooling. Stefan's law says that T'=-K(T^4-A^4) where A is the ambient temperature. Not counting distant stars, the background temperature of the sky in deep space is about 3 degrees Kelvin. That's radiation that's been going since near the beginning of time (to the best of our current scientific understanding), cooling for reasons having to do with the expansion of the universe since the Big Bang. (again, and for the last time, with the qualification that this is the current best scientific understanding of the data.) When dealing with high initial temperatures, 3 might as well be absolute zero. So, to simplify matters, we'll say this. Also, to simplify further, we'll set K equal to 1. Time, then, measured not necessarily in seconds. Perhaps in years, perhaps days, whatever. Anyhow, we're now on a purely mathematical topic. What do the solutions to y'=-y^4 with y(0)=1000 look like? QyQ+SSdzdGVmYW5HNiJmKjYkSSJ4R0YlSSJ5R0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUsJCokOSUiIiUhIiJGJUYlRiUiIiI=

Zio2JEkieEc2IkkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCQqJDklIiIlISIiRiVGJUYl

If we're going to make a sensible use of Euler's method here, we cannot take large steps. A single step of length 1 will carry us to absolute negative thousands (of degrees.) A look at the direction field for y'=-y^4 shows that the solutions cannot go negative starting at positive. QyQtSSV3aXRoRzYiNiNJKERFdG9vbHNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiUhIiI= LUklaGVscEc2IjYjUSdERXBsb3RGJA== QyQtSSdERXBsb3RHNiI2Ji8tSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkieUdGJTYjSSJ4R0YlRi8sJCokRiwiIiUhIiJGLC9GLzsiIiEiIiIvRi1GNUY3

NigtJSdDVVJWRVNHNl5kbDclNyQkITF6OmpfNVVvQiEjPCQiIiEhIiI3JCQiMXo6al81VW9CISM8JCIiISEiIjckJCIxKVtvKUdXIT1wKSEjPSQiMnclKnk6al81I2YhIz43JTckJCExXz1jXzVVb0IhIzwkIjExJFsob2c8al8hIzw3JCQiMV89Y181VW9CISM8JCIxJXBeN3NSSkUmISM8NyQkIjFsTClIJylcPXApISM9JCIxd2NnKVtjXyZlISM8NyU3JCQhMS46eU01VW9CISM8JCIyPjIoKnBsZ0UwIiEjPDckJCIxLjp5TTVVb0IhIzwkIjIjR0grLERnXzUhIzw3JCQiMXd4Rzg4YCNwKSEjPSQiMnomUmhMOSQ9NiIhIzw3JTckJCEyR3lgXmY/JW9CISM9JCIyX21LYGQlNHo6ISM8NyQkIjJHeWBeZj8lb0IhIz0kIjJZTG4xOyspeTohIzw3JCQiMT0oKkhMSFsmcCkhIz0kIjFvdmxmUTVROyEjOzclNyQkITItSERJWzslb0IhIz0kIjJELGZdU0dkNSMhIzw3JCQiMi1IRElbOyVvQiEjPSQiMncpNCU0Inp6L0AhIzw3JCQiMVsicGEkKT1NcSkhIz0kIjEkXDkuJEdJa0AhIzs3JTckJCEyWmVZZyJRUm9CISM9JCIxKHkyVXo5RmojISM7NyQkIjJaZVlnIlFSb0IhIz0kIjE4QXosSldJRSEjOzckJCIxKXpiI0gxNT8oKSEjPSQiMS4uRl8+UCFwIyEjOzclNyQkITJVU25wJVJJb0IhIz0kIjEpekEkUSpcLTskISM7NyQkIjJVU25wJVJJb0IhIz0kIjEtc25OJlJiOiQhIzs3JCQiMWBiLSpwYS12KSEjPSQiMUtVcTEhUWlAJCEjOzclNyQkITJ5JCplTT4+IW9CISM9JCIxKUgiZi1MZClvJCEjOzckJCIyeSQqZU0+PiFvQiEjPSQiMkJxMyVceCUpek8hIzw3JCQiMWw1YHIhKlIqeikhIz0kIjJkKUhDQSo0PXUkISM8NyU3JCQhMktLSWc0X3NPIyEjPSQiMk0ybSM0bSd6QCUhIzw3JCQiMktLSWc0X3NPIyEjPSQiMUZSdEFnMy5VISM7NyQkIjFCTEZRPV90KSkhIz0kIjJFInpGRHIocEUlISM8NyU3JCQhMmtHYU9CRGFPIyEjPSQiMi9EVik+M3ZbWiEjPDckJCIya0dhT0JEYU8jISM9JCIyJFxuOiNSTFxzJSEjPDckJCIxI3lHKSoqel95KikhIz0kIjJOM0MsUjI7eiUhIzw3JTckJCEwInAieit6OU8jISM7JCIxSmZcdSR5N0cmISM7NyQkIjAicCJ6K3o5TyMhIzskIjFwU106dS5YXyEjOzckJCIxalwkUioqUiQ+IiohIz0kIjEkSChRJSlbYTpgISM7NyU3JCQhMTpCbiZcOU9OIyEjPCQiMW45akJiImYiZSEjOzckJCIxOkJuJlw5T04jISM8JCIxSiZvViU9LmpkISM7NyQkIjBoRmpCNyYpSCohIzwkIjFjJTNyQTUnUWUhIzs3JTckJCExKFJkcEooKipRQiEjPCQiMVtTSSRRMUlOJyEjOzckJCIxKFJkcEooKipRQiEjPCQiMV5mcGtEZHlpISM7NyQkIjFWbSIqKXlYVV4qISM9JCIxPlgkUkYxMU8nISM7NyU3JCQhMSVvISkzJEheOEIhIzwkIjF5RlxZeiFHKm8hIzs3JCQiMSVvISkzJEheOEIhIzwkIjFBc10iZS05eichIzs3JCQiMSZmSyhlYyd5diohIz0kIjF3ciJvJWVMIilvISM7NyU3JCQhMkt0Im87UXhyQSEjPSQiMSMpPjNmJClRTnUhIzs3JCQiMkt0Im87UXhyQSEjPSQiMT4hPXB1YDlJKCEjOzckJCIyXyk0NSsvOCw1ISM9JCIxaGtwWiNSMVMoISM7NyU3JCQhMlk3KkgpSCdwMkEhIz0kIjF4UHhteVwhKXohIzs3JCQiMlk3KkgpSCdwMkEhIz0kIjFEaUE8ZSgqM3khIzs3JCQiMlZ5KltoISpmQzUhIz0kIjEneiNwVWdYPXohIzs3JTckJCExWmI7d2UkZjYjISM8JCIxNEBNKyJmdV8pISM7NyQkIjFaYjt3ZSRmNiMhIzwkIjEjKnlsamhrOSQpISM7NyQkIjJeZT01d1BELyIhIz0kIjF4Z2UxNyFcVikhIzs3JTckJCEyREUkeTYsMCUqPiEjPSQiMDs8JFtXO3YhKiEjOjckJCIyREUkeTYsMCUqPiEjPSQiMVJHbyZScyY+KSkhIzs3JCQiMiVleGdHNkdeNSEjPSQiMU92UWMsS10qKSEjOzclNyQkITIyaWomei5YVz0hIz0kIjBuJG9NImVBaSohIzo3JCQiMjJpaiZ6LlhXPSEjPSQiMUhqSihHNV5LKiEjOzckJCIyejQqXHFZS1s1ISM9JCIxW3JtRjJGbCUqISM7NyU3JCQhMjB4P3FlRVpuIiEjPSQiMng/cWVFWm4sIiEjOzckJCIyMHg/cWVFWm4iISM9JCIxQnpIVHRfSykqISM7NyQkIjBAJio+LiZHTDUhIzskIjE8OjpFeVMhKSoqISM7NyU3JCQiMUAlb0Ilb3QlKkchIzwkIiIhISIiNyQkIjF6OmpaKnk6aighIzwkIiIhISIiNyQkIjFcbyl5TFFCOCchIzwkIjJ3JSp5OmpfNSNmISM+NyU3JCQiMVsiUUMlb3QlKkchIzwkIjExJFsob2c8al8hIzw3JCQiMWA9Y1oqeTpqKCEjPCQiMSVwXjdzUkpFJiEjPDckJCIxUCQpSCIpR01LaCEjPCQiMXdjZylbY18mZSEjPDclNyQkIjEoXD0tJ290JSpHISM8JCIyPjIoKnBsZ0UwIiEjPDckJCIxLjp5SCp5OmooISM8JCIyI0dIKyxEZ181ISM8NyQkIjJ2eEdqLTZDOCchIz0kIjJ6JlJoTDkkPTYiISM8NyU3JCQiMnRAWSkqSFBaKkchIz0kIjJfbUtgZCU0ejohIzw3JCQiMSR5YCxceTpqKCEjPCQiMllMbjE7Kyl5OiEjPDckJCIxcypIJCk9MUY4JyEjPCQiMW92bGZRNVE7ISM7NyU3JCQiMHJ1PlRUWipHISM7JCIyRCxmXVNHZDUjISM8NyQkIjEiSEQheVZkSnchIzwkIjJ3KTQlNCJ6ei9AISM8NyQkIjE7cGF5KCpcTGghIzwkIjEkXDkuJEdJa0AhIzs3JTckJCIyYVRgKnlTdyUqRyEjPSQiMSh5MlV6OUZqIyEjOzckJCIxJWVZNXJeOmooISM8JCIxOEF6LEpXSUUhIzs3JCQiMiZ6YiN6Jno7TmghIz0kIjEuLkZfPlAhcCMhIzs3JTckJCIxJ2ZLIVtSJlsqRyEjPCQiMSl6QSRRKlwtOyQhIzs3JCQiMTB1Jz4lPVlKdyEjPCQiMS1zbk4mUmI6JCEjOzckJCIxY0QhXE8kPVFoISM8JCIxS1VxMSFRaUAkISM7NyU3JCQiMkIxVDpxUV4qRyEjPSQiMSlIImYtTGQpbyQhIzs3JCQiMVAqZSUpM3g2aighIzwkIjJCcTMlXHglKXpPISM8NyQkIjJtNWBAIXk0VmghIz0kIjJkKUhDQSo0PXUkISM8NyU3JCQiMXgncCopejBmKkchIzwkIjJNMm0jNG0nekAlISM8NyQkIjFDLi4iKio0L2ooISM8JCIxRlJ0QWczLlUhIzs3JCQiMUx0Iyl5K15daCEjPCQiMkUiekZEcihwRSUhIzw3JTckJCIyUHJYOG1LeCpHISM9JCIyL0RWKT4zdltaISM8NyQkIjEoR2EnR0plR3chIzwkIjIkXG46I1JMXHMlISM8NyQkIjF6RylccDU1OychIzwkIjJOM0MsUjI7eiUhIzw3JTckJCIyLTQkMygpKXk7IUghIz0kIjFKZlx1JHk3RyYhIzs3JCQiMTRwIkghcGpDdyEjPCQiMXBTXTp1LlhfISM7NyQkIjEnXCRSJSo9NHZoISM8JCIxJEgoUSUpW2E6YCEjOzclNyQkIjEmb0YkKlJWJjRIISM8JCIxbjlqQmIiZiJlISM7NyQkIjE6Qm4hUnNuaCghIzwkIjFKJm9WJT0uamQhIzs3JCQiMjF3Syc9IjRJPichIz0kIjFjJTNyQTUnUWUhIzs3JTckJCIxLkUveTA7Q0ghIzwkIjFbU0kkUTFJTichIzs3JCQiMShSZD5AYkBnKCEjPCQiMV5mcGtEZHlpISM7NyQkIjFrOypRWiNlOWkhIzwkIjE+WCRSRjExTychIzs3JTckJCIyaUo+VCdca1xIISM9JCIxeUZcWXohRypvISM7NyQkIjElbyEpZSMzbnd2ISM8JCIxQXNdImUtOXonISM7NyQkIjIlZksoM1lXKlFpISM9JCIxd3IibyVlTCIpbyEjOzclNyQkIjFuIz0keVNRIipIISM8JCIxIyk+M2YkKVFOdSEjOzckJCIxTDxvNjwkXGAoISM8JCIxPiE9cHVgOUkoISM7NyQkIjEmKTQ1JkgpR2tpISM8JCIxaGtwWiNSMVMoISM7NyU3JCQiMmIoM3EnZmhhMCQhIz0kIjF4UHhteVwhKXohIzs3JCQiMUMiKkgkPmEzWighIzwkIjFEaUE8ZSgqM3khIzs3JCQiMSV5KltjcHYoRychIzwkIjEneiNwVWdYPXohIzs3JTckJCIxYFckKT0/QVpKISM8JCIxNEBNKyJmdV8pISM7NyQkIjFaYjtyUDR6dCEjPCQiMSMqeWxqaGs5JCkhIzs3JCQiMSZlPWdsJnAwaiEjPCQiMXhnZTE3IVxWKSEjOzclNyQkIjJ3dDtLeTIicEshIz0kIjA7PCRbVzt2ISohIzo3JCQiMWpLeTEhM3NEKCEjPCQiMVJHbyZScyY+KSkhIzs3JCQiMWV4Z0IhUldKJyEjPCQiMU92UWMsS10qKSEjOzclNyQkIjBRT2FeMig9TSEjOyQiMG4kb00iZUFpKiEjOjckJCIwaWpYRjN3NSghIzskIjFIakooRzVeSyohIzs3JCQiMSk0KlxsRFs2aiEjPCQiMVtybUYyRmwlKiEjOzclNyQkIjBCenpJSiUpZSQhIzskIjJ4P3FlRVpuLCIhIzs3JCQiMHg/P1slKXkkcCEjOyQiMUJ6SFR0X0spKiEjOzckJCIwQCYqcCNIVydIJyEjOyQiMTw6OkV5UyEpKiohIzs3JTckJCIxQCVvdHQlKnk6KSEjPCQiIiEhIiI3JCQiMWVKRSVvdCUqRyIhIzskIiIhISIiNyQkIjEmbylHQidcJlI2ISM7JCIydyUqeTpqXzUjZiEjPjclNyQkIjFbIlF1dCUqeTopISM8JCIxMSRbKG9nPGpfISM8NyQkIjJfPWNVb3QlKkciISM8JCIxJXBeN3NSSkUmISM8NyQkIjJQJClIdzJdJlI2ISM8JCIxd2NnKVtjXyZlISM8NyU3JCQiMSlcPV92JSp5OikhIzwkIjI+MigqcGxnRTAiISM8NyQkIjIuOnlDb3QlKkciISM8JCIyI0dIKyxEZ181ISM8NyQkIjJ5KEc4IypvYlI2ISM8JCIyeiZSaEw5JD02IiEjPDclNyQkIjE9aSVbPiYqeTopISM8JCIyX21LYGQlNHo6ISM8NyQkIjIjeWBeUU9aKkciISM8JCIyWUxuMTsrKXk6ISM8NyQkIjJyKkhMM2tlUjYhIzwkIjFvdmxmUTVROyEjOzclNyQkIjBydXBJKip5OikhIzskIjJELGZdU0dkNSMhIzw3JCQiMUhESUZLWipHIiEjOyQiMncpNCU0Inp6L0AhIzw3JCQiMjhwYXR3bCdSNiEjPCQiMSRcOS4kR0lrQCEjOzclNyQkIjE6TSZSKD4jejopISM8JCIxKHkyVXo5RmojISM7NyQkIjIlZVlnZzRaKkciISM8JCIxOEF6LEpXSUUhIzs3JCQiMnliI0gmZUspUjYhIzwkIjEuLkZfPlAhcCMhIzs3JTckJCIxJ2ZLSSU9LGUiKSEjPCQiMSl6QSRRKlwtOyQhIzs3JCQiMjB1J3B0PlkqRyIhIzwkIjEtc25OJlJiOiQhIzs3JCQiMmNEISpmN00sOSIhIzwkIjFLVXExIVFpQCQhIzs3JTckJCIxaTVhJ2YnSGUiKSEjPCQiMSlIImYtTGQpbyQhIzs3JCQiMlEqZU0pXEwlKkciISM8JCIyQnEzJVx4JSl6TyEjPDckJCIyMko6KHBiaVM2ISM8JCIyZClIQ0EqND11JCEjPDclNyQkIjF4J3BScGohZiIpISM8JCIyTTJtIzRtJ3pAJSEjPDckJCIyQy4uJyl5YyQqRyIhIzwkIjFGUnRBZzMuVSEjOzckJCIyTXQjUSh6bTg5IiEjPCQiMkUiekZEcihwRSUhIzw3JTckJCIxOWRNYzAqMzspISM8JCIyL0RWKT4zdltaISM8NyQkIjImR2FPLVQ8KkciISM8JCIyJFxuOiNSTFxzJSEjPDckJCIyeUcpKiplb1RVNiEjPCQiMk4zQyxSMjt6JSEjPDclNyQkIjA0JDMjeU9bOykhIzskIjFKZlx1JHk3RyYhIzs3JCQiMSJwInp6JXooKUciISM7JCIxcFNdOnUuWF8hIzs3JCQiMihcJFIqeVwjUTkiISM8JCIxJEgoUSUpW2E6YCEjOzclNyQkIjEmb0ZWSCxGPCkhIzwkIjFuOWpCYiJmImUhIzs3JCQiMjlCbiZHSSp6RyIhIzwkIjFKJm9WJT0uamQhIzs3JCQiMXdLTyxuaFg2ISM7JCIxYyUzckE1J1FlISM7NyU3JCQiMS5FL3QlPXQ9KSEjPCQiMVtTSSRRMUlOJyEjOzckJCIyJ1JkcDU4YCdHIiEjPCQiMV5mcGtEZHlpISM7NyQkIjJqOyopby51eDkiISM8JCIxPlgkUkYxMU8nISM7NyU3JCQiMTwkPiJmRyFHQCkhIzwkIjF5RlxZeiFHKm8hIzs3JCQiMiRvISkzc0cpUkciISM8JCIxQXNdImUtOXonISM7NyQkIjJmSyhlTi1AXTYhIzwkIjF3ciJvJWVMIilvISM7NyU3JCQiMW0jPUwoPmFhIykhIzwkIjEjKT4zZiQpUU51ISM7NyQkIjJNPG8xJyozKXo3ISM8JCIxPiE9cHVgOUkoISM7NyQkIjInKTQ1IT5ZdV82ISM8JCIxaGtwWiNSMVMoISM7NyU3JCQiMXYzcSJcPic9JCkhIzwkIjF4UHhteVwhKXohIzs3JCQiMkMiKkgpMzdTdDchIzwkIjFEaUE8ZSgqM3khIzs3JCQiMiV5KlteWyI0YjYhIzwkIjEneiNwVWdYPXohIzs3JTckJCIxYVckUSIqei5UKSEjPCQiMTRATSsiZnVfKSEjOzckJCIyWmI7bTtEVUUiISM8JCIxIyp5bGpoazkkKSEjOzckJCIyJmU9NWJgKW86IiEjPCQiMXhnZTE3IVxWKSEjOzclNyQkIjFRbkB5Y0VLJikhIzwkIjA7PCRbVzt2ISohIzo3JCQiMmlLeSxmTz9EIiEjPCQiMVJHbyZScyY+KSkhIzs3JCQiMmV4Zz1wZng6IiEjPCQiMU92UWMsS10qKSEjOzclNyQkIjF6alY1YSc9bykhIzwkIjBuJG9NImVBaSohIzo3JCQiMkBPY3Bod3FCIiEjPCQiMUhqSihHNV5LKiEjOzckJCIyKjQqXGcva3U6IiEjPCQiMVtybUYyRmwlKiEjOzclNyQkIjFII3pIPyplXikpISM8JCIyeD9xZUVabiwiISM7NyQkIjJyMi14Qi8sQSIhIzwkIjFCekhUdF9LKSohIzs3JCQiMjZfKj4jM2dmOiIhIzwkIjE8OjpFeVMhKSoqISM7NyU3JCQiMVVvdGlfNVU4ISM7JCIiISEiIjckJCIyeDpqS1oqeTo9ISM8JCIiISEiIjckJCIyWW8pRzdhJ2VtIiEjPCQiMnclKnk6al81I2YhIz43JTckJCIyWSJRdWlfNVU4ISM8JCIxMSRbKG9nPGpfISM8NyQkIjJfPWNLWip5Oj0hIzwkIjElcF43c1JKRSYhIzw3JCQiMlAkKUhtJ2UnZW0iISM8JCIxd2NnKVtjXyZlISM8NyU3JCQiMiZcPV9rXzVVOCEjPCQiMj4yKCpwbGdFMCIhIzw3JCQiMi46eTlaKnk6PSEjPCQiMiNHSCssRGdfNSEjPDckJCIyeShHOCJvc2VtIiEjPCQiMnomUmhMOSQ9NiIhIzw3JTckJCIyO2klWzNgNVU4ISM8JCIyX21LYGQlNHo6ISM8NyQkIjIkeWBeRiUqeTo9ISM8JCIyWUxuMTsrKXk6ISM8NyQkIjEoKkhMKD4tZm0iISM7JCIxb3ZsZlE1UTshIzs3JTckJCIxcnVwPmQ1VTghIzskIjJELGZdU0dkNSMhIzw3JCQiMUhESTshKnk6PSEjOyQiMncpNCU0Inp6L0AhIzw3JCQiMjpwYWpiIilmbSIhIzwkIjEkXDkuJEdJa0AhIzs3JTckJCIyOU0mUicpejVVOCEjPCQiMSh5MlV6OUZqIyEjOzckJCIyJWVZZ1xueTo9ISM8JCIxOEF6LEpXSUUhIzs3JCQiMnpiI0h1JFtobSIhIzwkIjEuLkZfPlAhcCMhIzs3JTckJCIyJmZLSXRwNlU4ISM8JCIxKXpBJFEqXC07JCEjOzckJCIyLnUncGl4eDo9ISM8JCIxLXNuTiZSYjokISM7NyQkIjJhRCEqXCIqXGttIiEjPCQiMUtVcTEhUWlAJCEjOzclNyQkIjJpNWEnW2E5VTghIzwkIjEpSCJmLUxkKW8kISM7NyQkIjJPKmVNKEdcZCI9ISM8JCIyQnEzJVx4JSl6TyEjPDckJCIyL0o6KGU4JXBtIiEjPCQiMmQpSENBKjQ9dSQhIzw3JTckJCIydydwUmVAQVU4ISM8JCIyTTJtIzRtJ3pAJSEjPDckJCIyQS4ud2RzYyI9ISM8JCIxRlJ0QWczLlUhIzs3JCQiMUxGUSdlI29uOyEjOyQiMkUiekZEcihwRSUhIzw3JTckJCIyOGRNWSVbU1U4ISM8JCIyL0RWKT4zdltaISM8NyQkIjImR2FPIiopKls6PSEjPCQiMiRcbjojUkxccyUhIzw3JCQiMnlHKSp6a0sobzshIzwkIjJOM0MsUjI7eiUhIzw3JTckJCIyKTMkM3NZKnpVOCEjPCQiMUpmXHUkeTdHJiEjOzckJCIxInAiem9fNDo9ISM7JCIxcFNdOnUuWF8hIzs3JCQiMidcJFJ6d1MsbiIhIzwkIjEkSChRJSlbYTpgISM7NyU3JCQiMiVvRlY9ZmVWOCEjPCQiMW45akJiImYiZSEjOzckJCIyOUJudiIpM1YiPSEjPCQiMUomb1YlPS5qZCEjOzckJCIxd0tPIVxLPm4iISM7JCIxYyUzckE1J1FlISM7NyU3JCQiMi1FL2pqWl1NIiEjPCQiMVtTSSRRMUlOJyEjOzckJCIyJ1JkcCo0WkciPSEjPCQiMV5mcGtEZHlpISM7NyQkIjJsOyopZSMpKjN1OyEjPCQiMT5YJFJGMTFPJyEjOzclNyQkIjI6JD4iXDInZlo4ISM8JCIxeUZcWXohRypvISM7NyQkIjIlbyEpM2gnKUg1PSEjPCQiMUFzXSJlLTl6JyEjOzckJCIxRXRlQ2dfdzshIzskIjF3ciJvJWVMIilvISM7NyU3JCQiMm4jPUwnKSpwPE4iISM8JCIxIyk+M2YkKVFOdSEjOzckJCIySzxvJ1xaNzE9ISM8JCIxPiE9cHVgOUkoISM7NyQkIjImKTQ1ITMvMXo7ISM8JCIxaGtwWiNSMVMoISM7NyU3JCQiMnUzcSJReDxlOCEjPCQiMXhQeG15XCEpeiEjOzckJCIyQyIqSHkqcHIqeiIhIzwkIjFEaUE8ZSgqM3khIzs3JCQiMiR5KltURjI5byIhIzwkIjEneiNwVWdYPXohIzs3JTckJCIxWE1RIXlgdE8iISM7JCIxNEBNKyJmdV8pISM7NyQkIjJaYjtjJjRhIXoiISM8JCIxIyp5bGpoazkkKSEjOzckJCIyJmU9NVc2PyRvIiEjPCQiMXhnZTE3IVxWKSEjOzclNyQkIjJPbkBvTlUmejghIzwkIjA7PCRbVzt2ISohIzo3JCQiMmlLeSJ6Qk55PCEjPCQiMVJHbyZScyY+KSkhIzs3JCQiMmV4ZzNbdlNvIiEjPCQiMU92UWMsS10qKSEjOzclNyQkIjFRTy9JQl0lUiIhIzskIjBuJG9NImVBaSohIzo3JCQiMWlqJmZTI1JqPCEjOyQiMUhqSihHNV5LKiEjOzckJCIyJjQqXF0kKXpQbyIhIzwkIjFbcm1GMkZsJSohIzs3JTckJCIxQnpINFpaNjkhIzskIjJ4P3FlRVpuLCIhIzs3JCQiMnAyLW4tP2t1IiEjPCQiMUJ6SFR0X0spKiEjOzckJCIxQCYqPnJlRiNvIiEjOyQiMTw6OkV5UyEpKiohIzs3JTckJCIyQSVvdF81VW89ISM8JCIiISEiIjckJCIyeTpqS0UwQE0jISM8JCIiISEiIjckJCIyWm8pRy03PSM+IyEjPCQiMnclKnk6al81I2YhIz43JTckJCIyWiJRdV81VW89ISM8JCIxMSRbKG9nPGpfISM8NyQkIjJgPWNLRTBATSMhIzwkIjElcF43c1JKRSYhIzw3JCQiMlEkKUhtbCI9Iz4jISM8JCIxd2NnKVtjXyZlISM8NyU3JCQiMidcPV9hNVVvPSEjPCQiMj4yKCpwbGdFMCIhIzw3JCQiMi86eTlFMEBNIyEjPCQiMiNHSCssRGdfNSEjPDckJCIxeUc4ciUpPSM+IyEjOyQiMnomUmhMOSQ9NiIhIzw3JTckJCIyPGklWyk0QCVvPSEjPCQiMl9tS2BkJTR6OiEjPDckJCIyJXlgXjxfNVVCISM8JCIyWUxuMTsrKXk6ISM8NyQkIjJzKkhMKCl6QCM+IyEjPCQiMW92bGZRNVE7ISM7NyU3JCQiMXJ1cDQ6VW89ISM7JCIyRCxmXVNHZDUjISM8NyQkIjFIREkxWzVVQiEjOyQiMncpNCU0Inp6L0AhIzw3JCQiMjtwYWpNKEgjPiMhIzwkIjEkXDkuJEdJa0AhIzs3JTckJCIyOk0mUndQVW89ISM8JCIxKHkyVXo5RmojISM7NyQkIjImZVlnUkQ1VUIhIzwkIjE4QXosSldJRSEjOzckJCIxZURIa1RZIz4jISM7JCIxLi5GXz5QIXAjISM7NyU3JCQiMidmS0lqRlZvPSEjPCQiMSl6QSRRKlwtOyQhIzs3JCQiMi91J3BfTjRVQiEjPCQiMS1zbk4mUmI6JCEjOzckJCIyYkQhKlxxbEY+IyEjPCQiMUtVcTEhUWlAJCEjOzclNyQkIjJqNWEnUTdZbz0hIzwkIjEpSCJmLUxkKW8kISM7NyQkIjJQKmVNeF0xVUIhIzwkIjJCcTMlXHglKXpPISM8NyQkIjIwSjooW3JEJD4jISM8JCIyZClIQ0EqND11JCEjPDclNyQkIjJ4J3BSW3pgbz0hIzwkIjJNMm0jNG0nekAlISM8NyQkIjJCLi53TykpPk0jISM8JCIxRlJ0QWczLlUhIzs3JCQiMUxGUXckKSpSPiMhIzskIjJFInpGRHIocEUlISM8NyU3JCQiMjlkTVlqPyhvPSEjPCQiMi9EVik+M3ZbWiEjPDckJCIyKEdhTyJvMD1NIyEjPCQiMiRcbjojUkxccyUhIzw3JCQiMSlHKSp6VltdPiMhIzskIjJOM0MsUjI7eiUhIzw3JTckJCIyIzQkM3NEOiJwPSEjPCQiMUpmXHUkeTdHJiEjOzckJCIxInAiemU1VFRCISM7JCIxcFNdOnUuWF8hIzs3JCQiMiVcJFJ6YmNrPiMhIzwkIjEkSChRJSlbYTpgISM7NyU3JCQiMiZvRlYzPCEqcD0hIzwkIjFuOWpCYiJmImUhIzs3JCQiMjtCbnZnQzFNIyEjPCQiMUomb1YlPS5qZCEjOzckJCIxd0tPIUdbIyk+IyEjOyQiMWMlM3JBNSdRZSEjOzclNyQkIjIuRS9qVWo4KD0hIzwkIjFbU0kkUTFJTichIzs3JCQiMilSZHAqKUc7UkIhIzwkIjFeZnBrRGR5aSEjOzckJCIybTsqKWVoMC8/IyEjPCQiMT5YJFJGMTFPJyEjOzclNyQkIjI7JD4iXCc9IlIoPSEjPCQiMXlGXFl6IUcqbyEjOzckJCIyJm8hKTNeV2hPQiEjPCQiMUFzXSJlLTl6JyEjOzckJCIxRXRlOT0lRz8jISM7JCIxd3IibyVlTCIpbyEjOzclNyQkIjJvIz1Md2QzeT0hIzwkIjEjKT4zZiQpUU51ISM7NyQkIjJMPG8nUjBXS0IhIzwkIjE+IT1wdWA5SSghIzs3JCQiMicpNDUhKT53YD8jISM8JCIxaGtwWiNSMVMoISM7NyU3JCQiMnYzcSJHTlwlKT0hIzwkIjF4UHhteVwhKXohIzs3JCQiMkQiKkh5eUtnSyMhIzwkIjFEaUE8ZSgqM3khIzs3JCQiMiV5KltUMUJ4PyMhIzwkIjEneiNwVWdYPXohIzs3JTckJCIyX1ckUXEmcE8qPSEjPCQiMTRATSsiZnVfKSEjOzckJCIyW2I7Y3Vjb0ojISM8JCIxIyp5bGpoazkkKSEjOzckJCIyJ2U9NU1wXjRBISM8JCIxeGdlMTchXFYpISM7NyU3JCQiMlBuQG85ZWUhPiEjPCQiMDs8JFtXO3YhKiEjOjckJCIyakt5InAib1lJIyEjPCQiMVJHbyZScyY+KSkhIzs3JCQiMXcyJzNGIlI1QSEjOyQiMU92UWMsS10qKSEjOzclNyQkIjFRTy8/Ij0zIz4hIzskIjBuJG9NImVBaSohIzo3JCQiMWlqJmY+MygqRyMhIzskIjFIakooRzVeSyohIzs3JCQiMic0KlxdaSY0NUEhIzwkIjFbcm1GMkZsJSohIzs3JTckJCIxQnpIKlwhelA+ISM7JCIyeD9xZUVabiwiISM7NyQkIjF4P3E7ZXRzQSEjOyQiMUJ6SFR0X0spKiEjOzckJCIxQCYqPmg7ZjNBISM7JCIxPDo6RXlTISkqKiEjOzclNyQkIjJCJW90VW90JVIjISM8JCIiISEiIjckJCIxZUpFYDVVb0chIzskIiIhISIiNyQkIjJhbylHIypwXD1GISM8JCIydyUqeTpqXzUjZiEjPjclNyQkIjJbIlF1VW90JVIjISM8JCIxMSRbKG9nPGpfISM8NyQkIjJiPWNLMEAlb0chIzwkIjElcF43c1JKRSYhIzw3JCQiMU0pSG1XKFw9RiEjOyQiMXdjZylbY18mZSEjPDclNyQkIjIpXD1fV290JVIjISM8JCIyPjIoKnBsZ0UwIiEjPDckJCIyMDp5OTBAJW9HISM8JCIyI0dIKyxEZ181ISM8NyQkIjF5RzhoVV09RiEjOyQiMnomUmhMOSQ9NiIhIzw3JTckJCIyPWklWykpb3QlUiMhIzwkIjJfbUtgZCU0ejohIzw3JCQiMXlgXjI1VW9HISM7JCIyWUxuMTsrKXk6ISM8NyQkIjEoKkhMeFBgPUYhIzskIjFvdmxmUTVROyEjOzclNyQkIjFydXAqSFBaUiMhIzskIjJELGZdU0dkNSMhIzw3JCQiMUhESSdmPyVvRyEjOyQiMncpNCU0Inp6L0AhIzw3JCQiMSJwYWo4OCc9RiEjOyQiMSRcOS4kR0lrQCEjOzclNyQkIjI7TSZSbSZSWlIjISM8JCIxKHkyVXo5RmojISM7NyQkIjIlZVlnSCQ9JW9HISM8JCIxOEF6LEpXSUUhIzs3JCQiMWVESGEqeig9RiEjOyQiMS4uRl8+UCFwIyEjOzclNyQkIjIpZktJYCZbWlIjISM8JCIxKXpBJFEqXC07JCEjOzckJCIyMHUncFUkNCVvRyEjPCQiMS1zbk4mUmI6JCEjOzckJCIxYy0qXFwiMz5GISM7JCIxS1VxMSFRaUAkISM7NyU3JCQiMmw1YSdHcXglUiMhIzwkIjEpSCJmLUxkKW8kISM7NyQkIjElKmVNbjNRb0chIzskIjJCcTMlXHglKXpPISM8NyQkIjIxSjooUUhkPkYhIzwkIjJkKUhDQSo0PXUkISM8NyU3JCQiMnoncFJRUCZbUiMhIzwkIjJNMm0jNG0nekAlISM8NyQkIjJGLi53Oi8kb0chIzwkIjFGUnRBZzMuVSEjOzckJCIyTnQjUW1USj9GISM8JCIyRSJ6RkRyKHBFJSEjPDclNyQkIjI6ZE1ZVU9dUiMhIzwkIjIvRFYpPjN2W1ohIzw3JCQiMUhhT3I5N29HISM7JCIyJFxuOiNSTFxzJSEjPDckJCIxKUcpKnpBazhzIyEjOyQiMk4zQyxSMjt6JSEjPDclNyQkIjE0JDNzL0phUiMhIzskIjFKZlx1JHk3RyYhIzs3JCQiMSJwInpbb3NuRyEjOyQiMXBTXTp1LlhfISM7NyQkIjBOUnpNc0ZzIyEjOiQiMSRIKFElKVthOmAhIzs3JTckJCIyJ29GVilcPGlSIyEjPCQiMW45akJiImYiZSEjOzckJCIyOUJudlJTcCdHISM8JCIxSiZvViU9LmpkISM7NyQkIjF3S09xU2NDRiEjOyQiMWMlM3JBNSdRZSEjOzclNyQkIjIvRS9qQHp3UiMhIzwkIjFbU0kkUTFJTichIzs3JCQiMHUmcHoneWEnRyEjOiQiMV5mcGtEZHlpISM7NyQkIjJrOyopZVNAbnMjISM8JCIxPlgkUkYxMU8nISM7NyU3JCQiMjwkPiJcbEYtUyMhIzwkIjF5RlxZeiFHKm8hIzs3JCQiMidvISkzVC0kSCdHISM8JCIxQXNdImUtOXonISM7NyQkIjFFdGUvdzpIRiEjOyQiMXdyIm8lZUwiKW8hIzs3JTckJCIxRj1MbTpTL0MhIzskIjEjKT4zZiQpUU51ISM7NyQkIjJNPG8nSGp2ZUchIzwkIjE+IT1wdWA5SSghIzs3JCQiMigpNDUhKSk+cEpGISM8JCIxaGtwWiNSMVMoISM7NyU3JCQiMnczcSI9JDQzVCMhIzwkIjF4UHhteVwhKXohIzs3JCQiMkMiKkh5ZFtCJkchIzwkIjFEaUE8ZSgqM3khIzs3JCQiMiZ5KltUJilRU3QjISM8JCIxJ3ojcFVnWD16ISM7NyU3JCQiMmFXJFFnYCkqPkMhIzwkIjE0QE0rImZ1XykhIzs3JCQiMWJsaE5EPFZHISM7JCIxIyp5bGpoazkkKSEjOzckJCIxZj01Q0YkZXQjISM7JCIxeGdlMTchXFYpISM7NyU3JCQiMlFuQG8kUjxLQyEjPCQiMDs8JFtXO3YhKiEjOjckJCIybEt5ImZSKTQkRyEjPCQiMVJHbyZScyY+KSkhIzs3JCQiMmp4ZzMxMm50IyEjPCQiMU92UWMsS10qKSEjOzclNyQkIjIjUU8vNVI4WkMhIzwkIjBuJG9NImVBaSohIzo3JCQiMkNPY2YpUi07RyEjPCQiMUhqSihHNV5LKiEjOzckJCIwIipcXVQ2a3QjISM6JCIxW3JtRjJGbCUqISM7NyU3JCQiMksjekgqRzFUWSMhIzwkIjJ4P3FlRVpuLCIhIzs3JCQiMXg/cTE7MCp6IyEjOyQiMUJ6SFR0X0spKiEjOzckJCIxQCYqPl51IVx0IyEjOyQiMTw6OkV5UyEpKiohIzs3JTckJCIxVW90SkUwQEghIzskIiIhISIiNyQkIjFlSkVVb3Q