Maple Commands to Solve Differential Equations Solving the logistic equation 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

Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJ1RzYiNiNJInRHRilGKyomRiciIiIsJkYtRi1GJyEiIkYt

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

Ly1JInVHNiI2I0kidEdGJSokLCYiIiJGKiomLUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiMsJEYnISIiRipJJF9DMUdGJUYqRipGMw==

In the expression above, _C1 is an arbitrary constant. We don't get a single solution because we haven't specified intitial conditions Each value of _C1 corresponds to a different initial condition Try _C1 = 1/2 (you have to type a \134_ to get the underscore in math mode LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2KVElZXZhbEYnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSVib2xkR1EmZmFsc2VGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2KC1GIzYoLUYsNilRIiVGJ0YvRjJGNUY4RjtGPi1JI21vR0YkNjFRIixGJ0YvRjJGOEY7L0Y/USdub3JtYWxGJy8lJmZlbmNlR0Y0LyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUZKNjFRIn5GJ0YvRjJGOEY7Rk1GTy9GUkY0RlNGVUZXRllGZW5GZ24vRltvRmluLUYsNilRJF9DMUYnRi9GMkY1RjhGO0Y+LUZKNjFRIj1GJ0YvRjJGOEY7Rk1GT0Zgb0ZTRlVGV0ZZRmVuL0ZoblEsMC4yNzc3Nzc4ZW1GJy9GW29GaW8tSSZtZnJhY0dGJDYpLUkjbW5HRiQ2KFEiMUYnRi9GMkY4RjtGTS1GIzYjLUZfcDYoUSIyRidGL0YyRjhGO0ZNLyUubGluZXRoaWNrbmVzc0dGYXAvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGW3EvJSliZXZlbGxlZEdGNEY4Ri9GMkY4RjtGTQ==

Ly1JInVHNiI2I0kidEdGJSokLCYiIiJGKiomI0YqIiIjRiotSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IywkRichIiJGKkYqRjU=

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

Ly1JInVHNiI2IyIiISMiIiMiIiQ=

So _C1 =1/2 corresponds to the solution with u(0) = 2/3 We'd rather specify u(0) 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

Ly1JInVHNiI2IyIiIUkjdTBHRiU=

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

Ly1JInVHNiI2I0kidEdGJSwkKiZJI3UwR0YlIiIiLChGKiEiIiomLUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiMsJEYnRi1GK0YqRitGK0YvRi1GLUYt

Actually, we just want the rhs expression LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEmbHNvbG5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSRyaHNGJ0YvRjItSShtZmVuY2VkR0YkNiQtRiM2Iy1GLDYlUSIlRidGL0YyRjk=

LCQqJkkjdTBHNiIiIiIsKEYkISIiKiYtSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IywkSSJ0R0YlRihGJkYkRiZGJkYqRihGKEYo

By hand or with some patience with Maple, you can change this into a slightly nicer form. Now, we can plot some solutions. u0>0 and t>0 are of the only interest in many applications I'll get intitial conditions from 0.2 to 1.2 in steps of 0.2 below 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

LCQqJiMiIiIiIiZGJSwmRiQhIiIqJiMiIiVGJkYlLUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsJEkidEdGMUYoRiVGKEYoRig=

LCQqJiMiIiMiIiYiIiIsJkYkISIiKiYjIiIkRiZGJy1JJGV4cEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjLCRJInRHRjJGKUYnRilGKUYp

LCQqJiMiIiQiIiYiIiIsJkYkISIiKiYjIiIjRiZGJy1JJGV4cEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjLCRJInRHRjJGKUYnRilGKUYp

LCQqJiMiIiUiIiYiIiIsJkYkISIiKiYjRidGJkYnLUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsJEkidEdGMUYpRidGKUYpRik=

IiIi

LCQqJiMiIiciIiYiIiIsJkYkISIiKiYjRidGJkYnLUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsJEkidEdGMUYpRidGJ0YpRik=

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

-%%PLOTG6+-%'CURVESG6$7dw7$$""!!""$""#!""7$$"0jD^-0wD&!#;$"/tD"y\a3#!#97$$"08E_/>A$)*!#;$"0dAuRi>;#!#:7$$"0Rxa4&o(\"!#:$"0j&H/HT]A!#:7$$"017C[eb,#!#:$"0Vj!*o7?M#!#:7$$"0pPv]q4`#!#:$"0D4PJ:dV#!#:7$$"/3;KM#)3I!#9$"0t+Z4K[_#!#:7$$"0V'GdCh.N!#:$"0s"[RYN>E!#:7$$"0Pu[(RK:S!#:$".>`Gz%>F!#87$$"0oNrU%RDX!#:$"0x:HWN;#G!#:7$$"0d9Hek+0&!#:$"0z`!\'4"HH!#:7$$"0a3<M%>7b!#:$"0n**3uId-$!#:7$$"0([(\*HWKg!#:$"0=Q`+Hm8$!#:7$$"0)f>Ry#[b'!#:$".'fwl;]K!#87$$"0"3;KCCeq!#:$"0D&G_QchL!#:7$$"0w_06"R:v!#:$"02Ih#3LkM!#:7$$"0kFb5&)*e!)!#:$"0N@a8:%)e$!#:7$$"028E_![>&)!#:$"/_bAv.&p$!#97$$"0:He;Y^0*!#:$"0:f#o,o?Q!#:7$$"0jD^-,$H&*!#:$"0siZkKK$R!#:7$$"0kFbS_\+"!#9$"0)*3^uK!eS!#:7$$"0,,-%**[a5!#9$"0OOjW;!yT!#:7$$"0-/3;xh5"!#9$"0Ph2V]UI%!#:7$$"0h@V;UO:"!#9$"0WA,))y4U%!#:7$$"0d9HeR[?"!#9$"0R;ym.wa%!#:7$$"/.17$>!e7!#8$"0OFUQ^(zY!#:7$$"028EU7VI"!#9$"0cz!p)f^z%!#:7$$"0E^-D5VN"!#9$"0%QjQl/?\!#:7$$"0Y#\)*G'fS"!#9$"0)fKe(p"\]!#:7$$"0W)oP\\c9!#9$"0$>c-%Ha<&!#:7$$"/'>RG(Q0:!#8$"/i_24Q(H&!#97$$"0Y#\)*Qnf:!#9$"0b/9HmBV&!#:7$$"/4=OGX3;!#8$"0f*eNJ7`b!#:7$$"/">QwM0m"!#8$"08A+?O8o&!#:7$$"0yb6tGxq"!#9$"0j))GzPnz&!#:7$$"03:I?C$f<!#9$"0$*[n"*3>#f!#:7$$"0`06_ry!=!#9$"0JNt)egQg!#:7$$"0#Rycuhe=!#9$"0voQaM$fh!#:7$$"06AW)3B3>!#9$"0(*)='y/gF'!#:7$$"08E_ar,'>!#9$"0"*3'HLd'R'!#:7$$"0Pu[d'>5?!#9$"0`=6Db5^'!#:7$$"0#['HRa81#!#9$"0:kSd_ji'!#:7$$"0Y#\)f)37@!#9$"0A8Ep;)Qn!#:7$$"0h@V13(e@!#9$"0@Dx%zUSo!#:7$$"0$e;L#R@@#!#9$"0rEtLcZ&p!#:7$$"0pPvqG*fA!#9$"0lDvm8]0(!#:7$$"0(QxaA)3J#!#9$"0b%\w*f(fr!#:7$$"0.05I^'fB!#9$"0ea@,")yD(!#:7$$"0['HfI!QT#!#9$"0#=<+iKkt!#:7$$"03:I]%pgC!#9$"0<"o,!GVX(!#:7$$"0Gb5r;R^#!#9$"0j,LX)*Rb(!#:7$$"/%ze(HUiD!#8$"0Tva/5Dk(!#:7$$"0mKl?"[:E!#9$"0Y.^@int(!#:7$$"0;Kk[h7m#!#9$"0Cp/_=f"y!#:7$$"0/29))*R8F!#9$"0Ei%3Xh.z!#:7$$"0#\)p*HwjF!#9$"0XQOWTe)z!#:7$$"0zd:@$49G!#9$"0swY>"el!)!#:7$$"0w^.FQU'G!#9$"/Dd%>=E9)!#97$$"0$oOt>T7H!#9$"0'HWUcP9#)!#:7$$"0b5@-*[kH!#9$"0E?(fo[*G)!#:7$$"09GcAAT,$!#9$"0)*)p1'=(e$)!#:7$$"0)e<N)ej1$!#9$"03NNoI"H%)!#:7$$"0kGdaXO6$!#9$"0R-1%Ht!\)!#:7$$"0LlI@1f;$!#9$"0H8(3$*[c&)!#:7$$"09Gc#G'f@$!#9$"04,yEAsh)!#:7$$"0(\**)f(*eE$!#9$"0$o&*oalv')!#:7$$"0e;Lma!=L!#9$"0hrrITWt)!#:7$$"04=OA$4mL!#9$"0X75>(f'y)!#:7$$"0,-/G"H:M!#9$"0TN))4"3Q))!#:7$$"0_/4y6'pM!#9$"0T?1:6F*))!#:7$$"0iBZa%z=N!#9$"0h#*fD@-%*)!#:7$$"0$e;LJ4pN!#9$"0f93lTp)*)!#:7$$"005?]X-i$!#9$"0YvnurD.*!#:7$$"0d9H[ksm$!#9$"0['G=o)G2*!#:7$$"0&)pR>&Q<P!#9$"0"[AOW>9"*!#:7$$"0d9HQCrw$!#9$"0t*ovw``"*!#:7$$"0OrU&)H.#Q!#9$"0aQ5JhQ>*!#:7$$"0X*)yP"GnQ!#9$"0P`*R9)zA*!#:7$$"0CZ%*o`9#R!#9$"08Luc,dE*!#:7$$"/17C+MqR!#8$"02Rf+x#)H*!#:7$$"0#\)p\5(=S!#9$"0v:Q7*=H$*!#:7$$"0OsWHC22%!#9$"0F$=Uh,h$*!#:7$$"0Y#\)\[H7%!#9$"0Rrn&=b"R*!#:7$$"0Hd9zk/<%!#9$"076r0W"=%*!#:7$$"/'>R)\#4A%!#8$"0Q2,h(=X%*!#:7$$")#p,F%!"($"0f*)zJN/Z*!#:7$$"0u[(\/bBV!#9$"0\(zxqd'\*!#:7$$"0"=Os+upV!#9$"0b#R8j?=&*!#:7$$"0$e;L0zAW!#9$"0H8?Mf>a*!#:7$$"0Qw_vgEZ%!#9$"02O(f&oKc*!#:7$$"09FaG\?_%!#9$"0m)>BuV$e*!#:7$$"0hAX5x9d%!#9$"09XLaGFg*!#:7$$"0Gc7N!*=i%!#9$"035Sh?:i*!#:7$$"0@T#[vKvY!#9$"0V'GBm]S'*!#:7$$"0jD^ACVs%!#9$"0O(zQm5d'*!#:7$$"0U$oO-psZ!#9$"0)evplws'*!#:7$$"0=Nqq#RC[!#9$"0(QE)=U()o*!#:7$$"09Gci#)f([!#9$"0&QB3%HRq*!#:7$$"0.17k(GA\!#9$"0GX')=Zpr*!#:7$$"0yc8FRr(\!#9$"0Fk![&\;t*!#:7$$"/$f=dOI-&!#8$"0'yi5)yLu*!#:7$$"/05?'=n2&!#8$"03+H)[Yc(*!#:7$$"0PtY$H&z7&!#9$"00^)HiMo(*!#:7$$"0Pu[2*pt^!#9$"0nz4Hv%y(*!#:7$$"0&)pRRX^A&!#9$"/*f#G(\$*y*!#97$$"0KjEtKpF&!#9$"08?4@o(*z*!#:7$$"0)e<NRZG`!#9$"0&e"*oaj4)*!#:7$$"0>QwAfiP&!#9$"0"[)R#oN=)*!#:7$$"0v],8QdU&!#9$"0.^C)Q(p#)*!#:7$$"0b4>G4pZ&!#9$"0d%Q%4ja$)*!#:7$$"0oNrK;z_&!#9$"/>)Q:<N%)*!#97$$"0d8FM$Q!e&!#9$"08"4<oR^)*!#:7$$"0'Hf=jfEc!#9$"0=ayl7!e)*!#:7$$"/'>R=@'yc!#8$"0%**fxN6l)*!#:7$$"0rT$o'f3t&!#9$"/<T35*=()*!#97$$"0>Qw7,7y&!#9$"0)=%R*Q5y)*!#:7$$"0Rxa*f"p#e!#9$"0d<0W([$))*!#:7$$"0([(\Rv7)e!#9$"0)4jgQe*))*!#:7$$"0U$oO\KFf!#9$"0pA=v+X*)*!#:7$$"0.05]"*3)f!#9$"0*)G%Q#[***)*!#:7$$"0nMp)pIGg!#9$"0C4yHPX!**!#:7$$"0v\**GH.3'!#9$"0'\LYEL4**!#:7$$"07BY#o')Hh!#9$"0(HuBon8**!#:7$$"08E_/a:='!#9$"0(\/>'*)z"**!#:7$$"0sV([!>!Hi!#9$"/#Q5ch<#**!#97$$"0oOtY;-G'!#9$"/[U>tjD**!#97$$"0T#['>'RLj!#9$"0V>yUh%H**!#:7$$"0=NqI*ozj!#9$"0_%>\4jK**!#:7$$"0PtY8(oHk!#9$"0@ieP&*e$**!#:7$$"0d9HyR8['!#9$"0pt`$G5R**!#:7$$"0b5@#=(=`'!#9$"002xD'3U**!#:7$$"0rT$oTw!e'!#9$"0e))fWM[%**!#:7$$"0d9Hy]]j'!#9$"-%e7Mx%**!#77$$"0,.1sHQo'!#9$"0Dm*G+@]**!#:7$$"0@T#[;"ft'!#9$"0v@,([s_**!#:7$$"0*yd:c5$y'!#9$"0QyDJ%*[&**!#:7$$"0>Pu3,Z$o!#9$"/8pCG:d**!#97$$"0kFbS[K)o!#9$"0b\h'\<f**!#:7$$"0.17M%*R$p!#9$"0BEJ9(=h**!#:7$$"0AW)oxg$)p!#9$"0veN&)eI'**!#:7$$"0C['H%[b.(!#9$"0l+N1A\'**!#:7$$"0['HfMd&3(!#9$"0AHy&zim**!#:7$$"0$pQx7tOr!#9$"/Rc')pGo**!#97$$"0d9H[lu=(!#9$"08"))e5&)p**!#:7$$"0sV([\3Ms!#9$"/&p\P?7(**!#97$$"0%ze<h^(G(!#9$"/_()eOrs**!#97$$"/)f>f0`L(!#8$"0&)yxn$)R(**!#:7$$"0)f>R"fiQ(!#9$"/km**GFv**!#97$$"09Fa=G]V(!#9$"0_t66Zk(**!#:7$$"0f=P%*z"*[(!#9$"0E!z_eox**!#:7$$"0>PuQrg`(!#9$"0@Xa'eqy**!#:7$$"0Rxaf$H*e(!#9$"0tPnK2)z**!#:7$$"0^,.')*zPw!#9$"0WaFeh2)**!#:7$$"0xa44e3p(!#9$"/i3=Rv")**!#97$$"0Fa3PQmt(!#9$"0"pqt*oD)**!#:7$$"0:Heww()y(!#9$"0VL#[IX$)**!#:7$$"0/29))R"Ry!#9$"0&=7)[kU)**!#:7$$"/*zf4q%*)y!#8$"0laTqN])**!#:7$$"0(Qxa^hRz!#9$"0^SWamd)**!#:7$$"0&*)yd))y()z!#9$"0*o%31Nk)**!#:7$$"0mKl!f')R!)!#9$"0EOu^Ar)**!#:7$$"0D]+6*\*3)!#9$"0Vc;IXx)**!#:7$$"0*zf>dtT")!#9$"0\_zGo$))**!#:7$$"0v],VA!*=)!#9$"0*>V:\!*))**!#:7$$"0W([(4$GT#)!#9$"0DJiEp%*)**!#:7$$"0D]+rR8H)!#9$"/>A3H)**)**!#97$$"04<M[u7M)!#9$"0/\5Oq/***!#:7$$"0pQxaJMR)!#9$"0\z8Aa4***!#:7$$"/-/3,ZT%)!#8$"0=<%H"y8***!#:7$$"07C[;o1\)!#9$"0.yNq"z"***!#:7$$"0jE`m))\a)!#9$"0<#4^`A#***!#:7$$"0tX"H9<%f)!#9$"0@#p-#)f#***!#:7$$"0%ze<+ZW')!#9$"0a<!R5'H***!#:7$$"0;KkQAcp)!#9$"/,()4=J$***!#97$$"0oOtOTEu)!#9$"0jwr!)=O***!#:7$$"0'>Ry?w#z)!#9$"0*z&\cIR***!#:7$$"0oOtE,D%))!#9$"0[\()*[A%***!#:7$$"0Z$pQnq&*))!#9$"0d!zqR_%***!#:7$$"0c6BEeE%*)!#9$"0FK]+vZ***!#:7$$"0NpQdIo**)!#9$"0&[c)Q]]***!#:7$$"0rU&3prX!*!#9$"/ZNEkG&***!#97$$"0/29Q(3%4*!#9$"0OWy*)3b***!#:7$$"0Z%*)y65Y"*!#9$"/X&)Gkt&***!#97$$"0d9HQD$)>*!#9$"0W9%)G`f***!#:7$$"/%zenTeC*!#8$"/o&Q+Th***!#97$$"0rT$o=I'H*!#9$"0jD&G3L'***!#:7$$"06AW3YbM*!#9$"0e%pvq]'***!#:7$$"0'3<Mt#*)R*!#9$"0wtHe)o'***!#:7$$"0#Rycp6X%*!#9$"0ia,,Qo***!#:7$$"0%ze<u;)\*!#9$"0CdVL,q***!#:7$$"0\)pRw.[&*!#9$"0N&=pr9(***!#:7$$"0D\)phU(f*!#9$"/_?1YG(***!#97$$"0sW*))R&ok*!#9$"06M`_:u***!#:7$$"0RycBnsp*!#9$"0u`hbUv***!#:7$$"0KjEV/2v*!#9$"0%)*G)Rqw***!#:7$$"0uZ&46q*z*!#9$"0DJ^w"y(***!#:7$$"0`067n![)*!#9$"0\qpZ')y***!#:7$$"0Hd9fp(**)*!#9$"0/UJ&H*z***!#:7$$"0D]+^f8&**!#9$"0PO<&Q4)***!#:7$$"$+"!""$"/U`KV=)***!#9-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7dw7$$""!!""$""%!""7$$"0jD^-0wD&!#;$"0D"Ry+#o7%!#:7$$"08E_/>A$)*!#;$"0$G5IF7QU!#:7$$"0Rxa4&o(\"!#:$"0&y"Hs=UO%!#:7$$"017C[eb,#!#:$"0W=y&e)>\%!#:7$$"0pPv]q4`#!#:$"0b.S5:)>Y!#:7$$"/3;KM#)3I!#9$"0^!oN6yQZ!#:7$$"0V'GdCh.N!#:$"0=k;>vA'[!#:7$$"0Pu[(RK:S!#:$"0')>hBo,*\!#:7$$"0oNrU%RDX!#:$"02Y(3Tm<^!#:7$$"0d9Hek+0&!#:$"/V&*)4['[_!#97$$"0a3<M%>7b!#:$"0*e\)3UPO&!#:7$$"0([(\*HWKg!#:$"0D4w\UG\&!#:7$$"0)f>Ry#[b'!#:$"/l+:&3=i&!#97$$"0"3;KCCeq!#:$"0ud-3.`u&!#:7$$"0w_06"R:v!#:$"0\-A7_m&e!#:7$$"0kFb5&)*e!)!#:$"0#y^_y"z)f!#:7$$"028E_![>&)!#:$"0;[v(p-)4'!#:7$$"0:He;Y^0*!#:$"0mm!e'4ZA'!#:7$$"0jD^-,$H&*!#:$"0^gf]saL'!#:7$$"0kFbS_\+"!#9$"0-w>***Qbk!#:7$$"0,,-%**[a5!#9$"0v*zrn!zc'!#:7$$"0-/3;xh5"!#9$"0jk]CcMo'!#:7$$"0h@V;UO:"!#9$"0#>w"f8yy'!#:7$$"0d9HeR[?"!#9$"0#4D$f1%)*o!#:7$$"/.17$>!e7!#8$"0=pSqE5,(!#:7$$"028EU7VI"!#9$"/.:yc72r!#97$$"0E^-D5VN"!#9$"0JE[nG)3s!#:7$$"0Y#\)*G'fS"!#9$"0D?!*Qk:J(!#:7$$"0W)oP\\c9!#9$"0W!)o0E(4u!#:7$$"/'>RG(Q0:!#8$"/G-M_X-v!#97$$"0Y#\)*Qnf:!#9$"/lK)H)y-w!#97$$"/4=OGX3;!#8$"0M*[s&e0p(!#:7$$"/">QwM0m"!#8$"0kp)*3i<y(!#:7$$"0yb6tGxq"!#9$"0p#*f+d@'y!#:7$$"03:I?C$f<!#9$"0sO)o#)fZz!#:7$$"0`06_ry!=!#9$"/\%Hsac-)!#97$$"0#Rycuhe=!#9$"0="p%4J[5)!#:7$$"06AW)3B3>!#9$"0#H`'>m)z")!#:7$$"08E_ar,'>!#9$"0fKV[CfD)!#:7$$"0Pu[d'>5?!#9$"0)zIWjyE$)!#:7$$"0#['HRa81#!#9$"0@"zjT&oR)!#:7$$"0Y#\)f)37@!#9$"0W'oB#yRY)!#:7$$"0h@V13(e@!#9$"0#3UoOhB&)!#:7$$"0$e;L#R@@#!#9$"0TldJ%f*e)!#:7$$"0pPvqG*fA!#9$"0hrSH.lk)!#:7$$"0(QxaA)3J#!#9$"08J87M]q)!#:7$$"0.05I^'fB!#9$"/-tlQ-f()!#97$$"0['HfI!QT#!#9$"/,sNtp;))!#97$$"03:I]%pgC!#9$"/:oW&\Z'))!#97$$"0Gb5r;R^#!#9$"0[51?>s"*)!#:7$$"/%ze(HUiD!#8$"09<lvrJ'*)!#:7$$"0mKl?"[:E!#9$"0tt"4OX6!*!#:7$$"0;Kk[h7m#!#9$"0pcTZ$\^!*!#:7$$"0/29))*R8F!#9$"0mg!\1K&4*!#:7$$"0#\)p*HwjF!#9$"0T)H>`"f8*!#:7$$"0zd:@$49G!#9$"0bKtxG[<*!#:7$$"0w^.FQU'G!#9$"0L4n_1?@*!#:7$$"0$oOt>T7H!#9$"0uHR)QFY#*!#:7$$"0b5@-*[kH!#9$"0[%H]Tx"G*!#:7$$"09GcAAT,$!#9$"/OxIm;9$*!#97$$"0)e<N)ej1$!#9$"0$oTLDzY$*!#:7$$"0kGdaXO6$!#9$"0,7hIw]P*!#:7$$"0LlI@1f;$!#9$"0wz"GK+0%*!#:7$$"09Gc#G'f@$!#9$"/Q8=ZSK%*!#97$$"0(\**)f(*eE$!#9$"0&H4HXbe%*!#:7$$"0e;Lma!=L!#9$"0;[?'Gl%[*!#:7$$"04=OA$4mL!#9$"0xn!eSj2&*!#:7$$"0,-/G"H:M!#9$"0P*[:2;I&*!#:7$$"0_/4y6'pM!#9$"0o3Wk$*Qb*!#:7$$"0iBZa%z=N!#9$"0jy'\BRu&*!#:7$$"0$e;LJ4pN!#9$"0G%4$eBWf*!#:7$$"005?]X-i$!#9$"/zwmr'Qh*!#97$$"0d9H[ksm$!#9$"0WRd*z%4j*!#:7$$"0&)pR>&Q<P!#9$"0d2f$[N['*!#:7$$"0d9HQCrw$!#9$"/_=ec%[m*!#97$$"0OrU&)H.#Q!#9$"0y&)Rze;o*!#:7$$"0X*)yP"GnQ!#9$"0\^%*z:ep*!#:7$$"0CZ%*o`9#R!#9$"0u]<&GR6(*!#:7$$"/17C+MqR!#8$"0n1*=NyC(*!#:7$$"0#\)p\5(=S!#9$"/.rByVP(*!#97$$"0OsWHC22%!#9$"0dh>W8/v*!#:7$$"0Y#\)\[H7%!#9$"0i$=l@"Gw*!#:7$$"0Hd9zk/<%!#9$"0kZjlpNx*!#:7$$"/'>R)\#4A%!#8$"0KPYurWy*!#:7$$")#p,F%!"($"08_'pah%z*!#:7$$"0u[(\/bBV!#9$"0,Xmc$30)*!#:7$$"0"=Os+upV!#9$"0;c]-=P")*!#:7$$"0$e;L0zAW!#9$"0$p;?E<B)*!#:7$$"0Qw_vgEZ%!#9$"0f4%G*H;$)*!#:7$$"09FaG\?_%!#9$"0b27M8'R)*!#:7$$"0hAX5x9d%!#9$"0"fQ1+BZ)*!#:7$$"0Gc7N!*=i%!#9$"02I]aJY&)*!#:7$$"0@T#[vKvY!#9$"0CCrS"4i)*!#:7$$"0jD^ACVs%!#9$"0AMa&*)fo)*!#:7$$"0U$oO-psZ!#9$"0y6]LDZ()*!#:7$$"0=Nqq#RC[!#9$"06=Lhi4))*!#:7$$"09Gci#)f([!#9$"0kH[J!)o))*!#:7$$"0.17k(GA\!#9$"0<^8fV>*)*!#:7$$"0yc8FRr(\!#9$"0NP*4?l(*)*!#:7$$"/$f=dOI-&!#8$"0a8=V)>-**!#:7$$"/05?'=n2&!#8$"0JDIyis!**!#:7$$"0PtY$H&z7&!#9$"0HK6i`="**!#:7$$"0Pu[2*pt^!#9$"0P"HL>w:**!#:7$$"0&)pRRX^A&!#9$"0c?$oA&*>**!#:7$$"0KjEtKpF&!#9$"0:Ui\hR#**!#:7$$"0)e<NRZG`!#9$"0:"RIPvF**!#:7$$"0>QwAfiP&!#9$"08Lli,6$**!#:7$$"0v],8QdU&!#9$"09KA'eSM**!#:7$$"0b4>G4pZ&!#9$"0/n$evlP**!#:7$$"0oNrK;z_&!#9$"0*p.`$R2%**!#:7$$"0d8FM$Q!e&!#9$"00>iQ^P%**!#:7$$"0'Hf=jfEc!#9$"0O.l+yi%**!#:7$$"/'>R=@'yc!#8$"/D0Ov)*[**!#97$$"0rT$o'f3t&!#9$"0^8#p8d^**!#:7$$"0>Qw7,7y&!#9$"0nco.QR&**!#:7$$"0Rxa*f"p#e!#9$"0#p3)G()f&**!#:7$$"0([(\Rv7)e!#9$"0#ze=iIe**!#:7$$"0U$oO\KFf!#9$"0-d*)=v,'**!#:7$$"0.05]"*3)f!#9$"/TO&\WA'**!#97$$"0nMp)pIGg!#9$"0XUdh')R'**!#:7$$"0v\**GH.3'!#9$"/Wwuf!e'**!#97$$"07BY#o')Hh!#9$"07CD@`u'**!#:7$$"08E_/a:='!#9$"01]8m(3p**!#:7$$"0sV([!>!Hi!#9$"0/GNT;0(**!#:7$$"0oOtY;-G'!#9$"06IZy$)>(**!#:7$$"0T#['>'RLj!#9$"0M*G,4Vt**!#:7$$"0=NqI*ozj!#9$".$)HyHY(**!#87$$"0PtY8(oHk!#9$"0w!QkS'e(**!#:7$$"0d9HyR8['!#9$"/y/9j2x**!#97$$"0b5@#=(=`'!#9$"0$*f;X.#y**!#:7$$"0rT$oTw!e'!#9$"0GvXMT#z**!#:7$$"0d9Hy]]j'!#9$"0ENE1O.)**!#:7$$"0,.1sHQo'!#9$"0vhpZq7)**!#:7$$"0@T#[;"ft'!#9$"0*)3(*G>A)**!#:7$$"0*yd:c5$y'!#9$"0cw#[v.$)**!#:7$$"0>Pu3,Z$o!#9$"0Du_;*)Q)**!#:7$$"0kFbS[K)o!#9$"0p([\9l%)**!#:7$$"0.17M%*R$p!#9$"0dycy4a)**!#:7$$"0AW)oxg$)p!#9$"0)Q77]6')**!#:7$$"0C['H%[b.(!#9$"0t.:(o"o)**!#:7$$"0['HfMd&3(!#9$"07XuKfu)**!#:7$$"0$pQx7tOr!#9$"02)p,S3))**!#:7$$"0d9H[lu=(!#9$"0[VJ!Gn))**!#:7$$"0sV([\3Ms!#9$"0MHJ>)=*)**!#:7$$"0%ze<h^(G(!#9$"/"3?9](*)**!#97$$"/)f>f0`L(!#8$"0\"o*)zA!***!#:7$$"0)f>R"fiQ(!#9$"08:[)Hr!***!#:7$$"09Fa=G]V(!#9$"0PPeka6***!#:7$$"0f=P%*z"*[(!#9$"0)3Z30i"***!#:7$$"0>PuQrg`(!#9$"0Bvy0/?***!#:7$$"0Rxaf$H*e(!#9$"0X\*y"=C***!#:7$$"0^,.')*zPw!#9$"0))z%3px#***!#:7$$"0xa44e3p(!#9$"/Jd2*\J***!#97$$"0Fa3PQmt(!#9$"0c2hBcM***!#:7$$"0:Heww()y(!#9$"0x=#p%)y$***!#:7$$"0/29))R"Ry!#9$"0GfSP$4%***!#:7$$"/*zf4q%*)y!#8$"0)=yNJQ%***!#:7$$"0(Qxa^hRz!#9$"0&[q,xl%***!#:7$$"0&*)yd))y()z!#9$"0j![J)3\***!#:7$$"0mKl!f')R!)!#9$"0rxU0n^***!#:7$$"0D]+6*\*3)!#9$"0*\jl4S&***!#:7$$"0*zf>dtT")!#9$"0CeY$\j&***!#:7$$"0v],VA!*=)!#9$"0_2hXOe***!#:7$$"0W([(4$GT#)!#9$"0j"*RP[g***!#:7$$"0D]+rR8H)!#9$"/8MP7C'***!#97$$"04<M[u7M)!#9$"0OrcDCk***!#:7$$"0pQxaJMR)!#9$"0(H89fg'***!#:7$$"/-/3,ZT%)!#8$"/oKb]w'***!#97$$"07C[;o1\)!#9$"0<.*3.#p***!#:7$$"0jE`m))\a)!#9$"0F(G*3$3(***!#:7$$"0tX"H9<%f)!#9$"0Ea8/Bs***!#:7$$"0%ze<+ZW')!#9$"0LjyAft***!#:7$$"0;KkQAcp)!#9$"0Df)z3\(***!#:7$$"0oOtOTEu)!#9$"0KWz41w***!#:7$$"0'>Ry?w#z)!#9$"-9)4Bx***!#77$$"0oOtE,D%))!#9$"08m]bLy***!#:7$$"0Z$pQnq&*))!#9$"0(z)fyXz***!#:7$$"0c6BEeE%*)!#9$"0"4#o)*R!)***!#:7$$"0NpQdIo**)!#9$"0&pM@L9)***!#:7$$"0rU&3prX!*!#9$"0V+!*)=B)***!#:7$$"0/29Q(3%4*!#9$"0cCQO:$)***!#:7$$"0Z%*)y65Y"*!#9$"04fYt+%)***!#:7$$"0d9HQD$)>*!#9$"0w[#*4#[)***!#:7$$"/%zenTeC*!#8$"0MMt__&)***!#:7$$"0rT$o=I'H*!#9$"0"**3XPi)***!#:7$$"06AW3YbM*!#9$"0Mtt')*o)***!#:7$$"0'3<Mt#*)R*!#9$"0Ye:'zv)***!#:7$$"0#Rycp6X%*!#9$"0LH%>S"))***!#:7$$"0%ze<u;)\*!#9$"0c%f*Gv))***!#:7$$"0\)pRw.[&*!#9$"0.hw**H*)***!#:7$$"0D\)phU(f*!#9$"0T%[a:)*)***!#:7$$"0sW*))R&ok*!#9$".CamI!****!#87$$"0RycBnsp*!#9$"09'*pJy!****!#:7$$"0KjEV/2v*!#9$"0#Q9si7****!#:7$$"0uZ&46q*z*!#9$"0Y#eY!o"****!#:7$$"0`067n![)*!#9$"0FbTK2#****!#:7$$"0Hd9fp(**)*!#9$"0h/IEZ#****!#:7$$"0D]+^f8&**!#9$"0:L#4^G****!#:7$$"$+"!""$"0OEu/>$****!#:-%&COLORG6&%$RGBG$")Vyg>!")$"(;#R!)!"($")Vyg>!")-%'CURVESG6$7dw7$$""!!""$""'!""7$$"0jD^-0wD&!#;$"0E"3<Q\Dh!#:7$$"08E_/>A$)*!#;$"0mXwY*[Li!#:7$$"0Rxa4&o(\"!#:$"0=bsv*[`j!#:7$$"017C[eb,#!#:$"0/Q#G%4EZ'!#:7$$"0pPv]q4`#!#:$"0E6YBt$*e'!#:7$$"/3;KM#)3I!#9$"/sJ$yNfp'!#97$$"0V'GdCh.N!#:$"0=l'\!pW!o!#:7$$"0Pu[(RK:S!#:$"0,K;A$p9p!#:7$$"0oNrU%RDX!#:$"0*4(HzNC-(!#:7$$"0d9Hek+0&!#:$"0p,8]m48(!#:7$$"0a3<M%>7b!#:$"0XVW/vXA(!#:7$$"0([(\*HWKg!#:$"0)*[G-vwK(!#:7$$"0)f>Ry#[b'!#:$"04d-Z;(Gu!#:7$$"0"3;KCCeq!#:$"0o?B3%pBv!#:7$$"0w_06"R:v!#:$"0()evRzyg(!#:7$$"0kFb5&)*e!)!#:$"0y<sO,aq(!#:7$$"028E_![>&)!#:$"0rmLw/ey(!#:7$$"0:He;Y^0*!#:$"/_*3`qn(y!#97$$"0jD^-,$H&*!#:$"0Dzf`()\&z!#:7$$"0kFbS_\+"!#9$"0hJ9)yJQ!)!#:7$$"0,,-%**[a5!#9$"0(*fW*zD:")!#:7$$"0-/3;xh5"!#9$"0#4&\jWI>)!#:7$$"0h@V;UO:"!#9$"0LM1:_AE)!#:7$$"0d9HeR[?"!#9$"0"HoWo`M$)!#:7$$"/.17$>!e7!#8$"0v^m!>02%)!#:7$$"028EU7VI"!#9$"0`8sEu!o%)!#:7$$"0E^-D5VN"!#9$"0(e(=B:=`)!#:7$$"0Y#\)*G'fS"!#9$"0ymAtV`f)!#:7$$"0W)oP\\c9!#9$"0xs!QCDb')!#:7$$"/'>RG(Q0:!#8$"07vPz[6r)!#:7$$"0Y#\)*Qnf:!#9$"/_0b.)3x)!#97$$"/4=OGX3;!#8$"0Q\gX1D#))!#:7$$"/">QwM0m"!#8$"0#=g1Oav))!#:7$$"0yb6tGxq"!#9$"/F$z^*y@*)!#97$$"03:I?C$f<!#9$"0G4?<F/(*)!#:7$$"0`06_ry!=!#9$"0W"4!o2W,*!#:7$$"0#Rycuhe=!#9$"0pxRl$ee!*!#:7$$"06AW)3B3>!#9$"/8j4+0+"*!#97$$"08E_ar,'>!#9$"0._I8"pT"*!#:7$$"0Pu[d'>5?!#9$"0%)*o]"Q,=*!#:7$$"0#['HRa81#!#9$"0MF^gFy@*!#:7$$"0Y#\)f)37@!#9$"/yPYFj`#*!#97$$"0h@V13(e@!#9$"0NEyH*>&G*!#:7$$"0$e;L#R@@#!#9$"/&yD2g)>$*!#97$$"0pPvqG*fA!#9$"0dPmkM&\$*!#:7$$"0(QxaA)3J#!#9$"0^cm+W)z$*!#:7$$"0.05I^'fB!#9$"0C!e@Th2%*!#:7$$"0['HfI!QT#!#9$"0"f#)=?3P%*!#:7$$"03:I]%pgC!#9$"/;.w+[h%*!#97$$"0Gb5r;R^#!#9$"0"*=,viz[*!#:7$$"/%ze(HUiD!#8$"0wB'>:-6&*!#:7$$"0mKl?"[:E!#9$"0T74"\6N&*!#:7$$"0;Kk[h7m#!#9$"0P&pH>*\b*!#:7$$"0/29))*R8F!#9$"0_b"[Bkw&*!#:7$$"0#\)p*HwjF!#9$"0V)\Grf'f*!#:7$$"0zd:@$49G!#9$"06;y$pj:'*!#:7$$"0w^.FQU'G!#9$"0j[?2ZPj*!#:7$$"0$oOt>T7H!#9$".aoLq.l*!#87$$"0b5@-*[kH!#9$"0(pGo@_n'*!#:7$$"09GcAAT,$!#9$"0*4E:66$o*!#:7$$"0)e<N)ej1$!#9$"0>jja`()p*!#:7$$"0kGdaXO6$!#9$"0%3A8mE7(*!#:7$$"0LlI@1f;$!#9$"03lO!p^E(*!#:7$$"09Gc#G'f@$!#9$"0_46v@&R(*!#:7$$"0(\**)f(*eE$!#9$"0A0!zW*=v*!#:7$$"0e;Lma!=L!#9$"00L/&f?k(*!#:7$$"04=OA$4mL!#9$"0T"\rl,v(*!#:7$$"0,-/G"H:M!#9$"0^'Hjee&y*!#:7$$"0_/4y6'pM!#9$"/;\"y"p'z*!#97$$"0iBZa%z=N!#9$"0)fS*3gi!)*!#:7$$"0$e;LJ4pN!#9$"0-*)Rl)e:)*!#:7$$"005?]X-i$!#9$"01.kDBY#)*!#:7$$"0d9H[ksm$!#9$"0>$)eaVD$)*!#:7$$"0&)pR>&Q<P!#9$"0j:@B*fS)*!#:7$$"0d9HQCrw$!#9$"0C:4N;#[)*!#:7$$"0OrU&)H.#Q!#9$"0R"**=x'f&)*!#:7$$"0X*)yP"GnQ!#9$"07&>2J[i)*!#:7$$"0CZ%*o`9#R!#9$"0f=#***R'p)*!#:7$$"/17C+MqR!#8$"0P.'*H#yv)*!#:7$$"0#\)p\5(=S!#9$"0F_tIy:))*!#:7$$"0OsWHC22%!#9$"0A2Q!H^())*!#:7$$"0Y#\)\[H7%!#9$"0vIyavJ*)*!#:7$$"0Hd9zk/<%!#9$"0%>s?A3)*)*!#:7$$"/'>R)\#4A%!#8$"00s1z[I!**!#:7$$")#p,F%!"($"0&*QUTkw!**!#:7$$"0u[(\/bBV!#9$"0A*G?@U7**!#:7$$"0"=Os+upV!#9$"/R1PAM;**!#97$$"0$e;L0zAW!#9$"0)=IY.j?**!#:7$$"0Qw_vgEZ%!#9$"0."Q&GiW#**!#:7$$"09FaG\?_%!#9$"0"yish2G**!#:7$$"0hAX5x9d%!#9$"0"*Q)G5_J**!#:7$$"0Gc7N!*=i%!#9$"0X?@xl[$**!#:7$$"0@T#[vKvY!#9$"0'G*o1M#Q**!#:7$$"0jD^ACVs%!#9$"0%Q(Q2q6%**!#:7$$"0U$oO-psZ!#9$"0"o`b@$R%**!#:7$$"0=Nqq#RC[!#9$"0wh:HUn%**!#:7$$"09Gci#)f([!#9$"/h0MmS\**!#97$$"0.17k(GA\!#9$"0E.u)[o^**!#:7$$"0yc8FRr(\!#9$"0:N1)=Da**!#:7$$"/$f=dOI-&!#8$"0LU'p^Hc**!#:7$$"/05?'=n2&!#8$"/x+4+de**!#97$$"0PtY$H&z7&!#9$"0X$*4/J1'**!#:7$$"0Pu[2*pt^!#9$"/#eU#[Qi**!#97$$"0&)pRRX^A&!#9$"0t9.JkU'**!#:7$$"0KjEtKpF&!#9$"/l(>uhg'**!#97$$"0)e<NRZG`!#9$"0Yh.:hx'**!#:7$$"0>QwAfiP&!#9$"0`)yS3Ep**!#:7$$"0v],8QdU&!#9$"0(G^C/uq**!#:7$$"0b4>G4pZ&!#9$"/up\f>s**!#97$$"0oNrK;z_&!#9$"0A_l$\dt**!#:7$$"0d8FM$Q!e&!#9$"03g+DA\(**!#:7$$"0'Hf=jfEc!#9$"0bqX3_g(**!#:7$$"/'>R=@'yc!#8$"0VqvNjs(**!#:7$$"0rT$o'f3t&!#9$"0TJ%)4=%y**!#:7$$"0>Qw7,7y&!#9$"0Y7U\v%z**!#:7$$"0Rxa*f"p#e!#9$"0xst%3R!)**!#:7$$"0([(\Rv7)e!#9$"0**y!3kU")**!#:7$$"0U$oO\KFf!#9$"0Oni$3E#)**!#:7$$"0.05]"*3)f!#9$"0lWZ]%=$)**!#:7$$"0nMp)pIGg!#9$"0dUM'>'R)**!#:7$$"0v\**GH.3'!#9$"00$fIPx%)**!#:7$$"07BY#o')Hh!#9$"0>^$e&3b)**!#:7$$"08E_/a:='!#9$"0\XyaPi)**!#:7$$"0sV([!>!Hi!#9$"0_D[ouo)**!#:7$$"0oOtY;-G'!#9$"0z/"Q*Gv)**!#:7$$"0T#['>'RLj!#9$"0woe0u"))**!#:7$$"0=NqI*ozj!#9$"0'*>IV3())**!#:7$$"0PtY8(oHk!#9$"0H-W^e#*)**!#:7$$"0d9HyR8['!#9$"0P#R.()z*)**!#:7$$"0b5@#=(=`'!#9$"0ta.!4I!***!#:7$$"0rT$oTw!e'!#9$"0j$fyKw!***!#:7$$"0d9Hy]]j'!#9$"0&GU94D"***!#:7$$"0,.1sHQo'!#9$"0v5p4n;***!#:7$$"0@T#[;"ft'!#9$"0)36['*3#***!#:7$$"0*yd:c5$y'!#9$"0'4b@SX#***!#:7$$"0>Pu3,Z$o!#9$"0K0W@LG***!#:7$$"0kFbS[K)o!#9$"0d*G+E<$***!#:7$$"0.17M%*R$p!#9$"0x!))*>5N***!#:7$$"0AW)oxg$)p!#9$"0;%GIT#Q***!#:7$$"0C['H%[b.(!#9$"0s-u`OT***!#:7$$"0['HfMd&3(!#9$"0.u=[AW***!#:7$$"0$pQx7tOr!#9$"0A"[#\+Z***!#:7$$"0d9H[lu=(!#9$"0%oD?D'\***!#:7$$"0sV([\3Ms!#9$"0xmW'=>&***!#:7$$"0%ze<h^(G(!#9$"0B<?">W&***!#:7$$"/)f>f0`L(!#8$"//>DXl&***!#97$$"0)f>R"fiQ(!#9$"0(***pIqe***!#:7$$"09Fa=G]V(!#9$"0Yu')zmg***!#:7$$"0f=P%*z"*[(!#9$"0v4q/ui***!#:7$$"0>PuQrg`(!#9$"0w)foYW'***!#:7$$"0Rxaf$H*e(!#9$"0#*)z"))Gm***!#:7$$"0^,.')*zPw!#9$"0ah$[%)y'***!#:7$$"0xa44e3p(!#9$"0LCaNap***!#:7$$"0Fa3PQmt(!#9$"/H!Gg!4(***!#97$$"0:Heww()y(!#9$"0VamOQs***!#:7$$"0/29))R"Ry!#9$"0p%>rRP(***!#:7$$"/*zf4q%*)y!#8$"/#om$G](***!#97$$"0(Qxa^hRz!#9$"0'yHS\i(***!#:7$$"0&*)yd))y()z!#9$"0%[D=mt(***!#:7$$"0mKl!f')R!)!#9$"0\VsW^y***!#:7$$"0D]+6*\*3)!#9$"0RVBYbz***!#:7$$"0*zf>dtT")!#9$"0,"Q+&f!)***!#:7$$"0v],VA!*=)!#9$"0l@z5\")***!#:7$$"0W([(4$GT#)!#9$"0CDhLV#)***!#:7$$"0D]+rR8H)!#9$"0m)*)*3H$)***!#:7$$"04<M[u7M)!#9$"0DLXY5%)***!#:7$$"0pQxaJMR)!#9$"0#))*GB"\)***!#:7$$"/-/3,ZT%)!#8$"0pt$))>c)***!#:7$$"07C[;o1\)!#9$"0AwT,J')***!#:7$$"0jE`m))\a)!#9$"0d@^Q.()***!#:7$$"0tX"H9<%f)!#9$"0o?dgl()***!#:7$$"0%ze<+ZW')!#9$"0)*z7:E))***!#:7$$"0;KkQAcp)!#9$"0MA+o%)))***!#:7$$"0oOtOTEu)!#9$"0d6?!f$*)***!#:7$$"0'>Ry?w#z)!#9$"0i%f:z)*)***!#:7$$"0oOtE,D%))!#9$"0^#o>q.****!#:7$$"0Z$pQnq&*))!#9$"0H!z6p3****!#:7$$"0c6BEeE%*)!#9$"0fl")yG"****!#:7$$"0NpQdIo**)!#9$"0LhVsu"****!#:7$$"0rU&3prX!*!#9$"0'4p&49#****!#:7$$"0/29Q(3%4*!#9$"0JIF?^#****!#:7$$"0Z%*)y65Y"*!#9$"0fYA:*G****!#:7$$"0d9HQD$)>*!#9$"0l\0KD$****!#:7$$"/%zenTeC*!#8$"0Lyqic$****!#:7$$"0rT$o=I'H*!#9$"0:!Q%G)Q****!#:7$$"06AW3YbM*!#9$"04[kn<%****!#:7$$"0'3<Mt#*)R*!#9$"0)=#[%zW****!#:7$$"0#Rycp6X%*!#9$"0B#ziGZ****!#:7$$"0%ze<u;)\*!#9$"0$GZ(4+&****!#:7$$"0\)pRw.[&*!#9$"0'R8:W_****!#:7$$"0D\)phU(f*!#9$"0`O>LZ&****!#:7$$"0sW*))R&ok*!#9$"/9Vh"p&****!#97$$"0RycBnsp*!#9$"0-L@M!f****!#:7$$"0KjEV/2v*!#9$"01ewl6'****!#:7$$"0uZ&46q*z*!#9$"0rMeAI'****!#:7$$"0`067n![)*!#9$"0W4ToZ'****!#:7$$"0Hd9fp(**)*!#9$"0CLiVl'****!#:7$$"0D]+^f8&**!#9$"0"3:eAo****!#:7$$"$+"!""$"0*>'HM(p****!#:-%&COLORG6&%$RGBG$")(>!\&)!")$")%)eqk!")$"(-\D"!"(-%'CURVESG6$7dw7$$""!!""$"")!""7$$"0jD^-0wD&!#;$"0n%=smz#3)!#:7$$"08E_/>A$)*!#;$"0Dr7r)o_")!#:7$$"0Rxa4&o(\"!#:$"0\+S`;*G#)!#:7$$"017C[eb,#!#:$"00jdFMJI)!#:7$$"0pPv]q4`#!#:$"0D+s4@XP)!#:7$$"/3;KM#)3I!#9$"0^/43D&Q%)!#:7$$"0V'GdCh.N!#:$"0:V)pwh-&)!#:7$$"0Pu[(RK:S!#:$"/TYSigm&)!#97$$"0oNrU%RDX!#:$"0%Gt]s5G')!#:7$$"0d9Hek+0&!#:$"0DO-yP!*o)!#:7$$"0a3<M%>7b!#:$"0nDb`(yS()!#:7$$"0([(\*HWKg!#:$"/17:K%pz)!#97$$"0)f>Ry#[b'!#:$"0ZXW/T6&))!#:7$$"0"3;KCCeq!#:$"/"Ga&yM,*)!#97$$"0w_06"R:v!#:$"0og_vj_%*)!#:7$$"0kFb5&)*e!)!#:$"0&>hTBY&**)!#:7$$"028E_![>&)!#:$"/2tL^JO!*!#97$$"0:He;Y^0*!#:$"0JEG'Q'>3*!#:7$$"0jD^-,$H&*!#:$"0JI$3"R27*!#:7$$"0kFbS_\+"!#9$"0$RHdQdh"*!#:7$$"0,,-%**[a5!#9$"0TlD2\))>*!#:7$$"0-/3;xh5"!#9$"0ku`dBhB*!#:7$$"0h@V;UO:"!#9$"0X0fDX*o#*!#:7$$"0d9HeR[?"!#9$"0m$\5z)GI*!#:7$$"/.17$>!e7!#8$"0"R!p]'fO$*!#:7$$"028EU7VI"!#9$"0eL8"4qk$*!#:7$$"0E^-D5VN"!#9$"0`DFN0QR*!#:7$$"0Y#\)*G'fS"!#9$"0*G$4%)fDU*!#:7$$"0W)oP\\c9!#9$"0JoQ`Z%\%*!#:7$$"/'>RG(Q0:!#8$"0bXs&pLu%*!#:7$$"0Y#\)*Qnf:!#9$"0P<&3fs+&*!#:7$$"/4=OGX3;!#8$"0Ft!yDOB&*!#:7$$"/">QwM0m"!#8$"0(G5KVXY&*!#:7$$"0yb6tGxq"!#9$"0%y7"Hbkc*!#:7$$"03:I?C$f<!#9$"0MmZLdte*!#:7$$"0`06_ry!=!#9$"0urzPThg*!#:7$$"0#Rycuhe=!#9$"/Ob\%)*[i*!#97$$"06AW)3B3>!#9$"/Rlh^SU'*!#97$$"08E_ar,'>!#9$"02^e;*))f'*!#:7$$"0Pu[d'>5?!#9$"0ELA)o%fn*!#:7$$"0#['HRa81#!#9$"0l=0W4;p*!#:7$$"0Y#\)f)37@!#9$".V_C<kq*!#87$$"0h@V13(e@!#9$"0F*HqXT>(*!#:7$$"0$e;L#R@@#!#9$"0R(HFUiL(*!#:7$$"0pPvqG*fA!#9$"07_MtQdu*!#:7$$"0(QxaA)3J#!#9$"/'4(GT1e(*!#97$$"0.05I^'fB!#9$"0>/NO9$p(*!#:7$$"0['HfI!QT#!#9$"0d`+937y*!#:7$$"03:I]%pgC!#9$"0e;*H8-"z*!#:7$$"0Gb5r;R^#!#9$"0l/])zj,)*!#:7$$"/%ze(HUiD!#8$"0b3R]_3")*!#:7$$"0mKl?"[:E!#9$"/">aC^/#)*!#97$$"0;Kk[h7m#!#9$"0&f`5yMG)*!#:7$$"0/29))*R8F!#9$"0>Rb'f#p$)*!#:7$$"0#\)p*HwjF!#9$"0Ecw>6[%)*!#:7$$"0zd:@$49G!#9$"0&og'3;B&)*!#:7$$"0w^.FQU'G!#9$"0$3HkvVf)*!#:7$$"0$oOt>T7H!#9$"0_^0&)ff')*!#:7$$"0b5@-*[kH!#9$"0F?s,vE()*!#:7$$"09GcAAT,$!#9$"0_sEbl(y)*!#:7$$"0)e<N)ej1$!#9$"0'o&f#['[))*!#:7$$"0kGdaXO6$!#9$"0HUO/C,*)*!#:7$$"0LlI@1f;$!#9$"0QmRRgc*)*!#:7$$"09Gc#G'f@$!#9$"0e#yITq+**!#:7$$"0(\**)f(*eE$!#9$"0kF&y\\0**!#:7$$"0e;Lma!=L!#9$"0'ReUYD5**!#:7$$"04=OA$4mL!#9$"0UFf%zU9**!#:7$$"0,-/G"H:M!#9$"0mZ5c-&=**!#:7$$"0_/4y6'pM!#9$"0,E'y"yF#**!#:7$$"0iBZa%z=N!#9$"0w$Q?qXE**!#:7$$"0$e;LJ4pN!#9$"0w;(*RR+$**!#:7$$"005?]X-i$!#9$"/[)['[]L**!#97$$"0d9H[ksm$!#9$"0&=!>lRl$**!#:7$$"0&)pR>&Q<P!#9$"/)G`?B'R**!#97$$"0d9HQCrw$!#9$"0WB1+OD%**!#:7$$"0OrU&)H.#Q!#9$"00***fs\X**!#:7$$"0X*)yP"GnQ!#9$"0MF')4%)z%**!#:7$$"0CZ%*o`9#R!#9$"02OuV82&**!#:7$$"/17C+MqR!#8$"0xY7*Q0`**!#:7$$"0#\)p\5(=S!#9$"0(=.M2Eb**!#:7$$"0OsWHC22%!#9$"0p"Qw'=v&**!#:7$$"0Y#\)\[H7%!#9$"0&ydw:nf**!#:7$$"0Hd9zk/<%!#9$"0*4H@e`h**!#:7$$"/'>R)\#4A%!#8$"0u3=l@M'**!#:7$$")#p,F%!"($"0&)31<t^'**!#:7$$"0u[(\/bBV!#9$"0\4Gaxp'**!#:7$$"0"=Os+upV!#9$"0ZalWj%o**!#:7$$"0$e;L0zAW!#9$"07(G)*z3q**!#:7$$"0Qw_vgEZ%!#9$"0^P&*)*Q:(**!#:7$$"09FaG\?_%!#9$"0\/Ux1H(**!#:7$$"0hAX5x9d%!#9$"0"**H1+@u**!#:7$$"0Gc7N!*=i%!#9$"0@v_#[Zv**!#:7$$"0@T#[vKvY!#9$"0z&z8![n(**!#:7$$"0jD^ACVs%!#9$"0<$4it&y(**!#:7$$"0U$oO-psZ!#9$"0mK5i+*y**!#:7$$"0=Nqq#RC[!#9$"0$*z&f;'*z**!#:7$$"09Gci#)f([!#9$"0&Qw/t'4)**!#:7$$"0.17k(GA\!#9$"0tLd&p#=)**!#:7$$"0yc8FRr(\!#9$"0.kCE&z#)**!#:7$$"/$f=dOI-&!#8$"0^RxzlN)**!#:7$$"/05?'=n2&!#8$"0Dz(>MU%)**!#:7$$"0PtY$H&z7&!#9$"/#QYA+_)**!#97$$"0Pu[2*pt^!#9$"0*))>p5'e)**!#:7$$"0&)pRRX^A&!#9$"0Db(="pl)**!#:7$$"0KjEtKpF&!#9$"0F?/5Ys)**!#:7$$"0)e<NRZG`!#9$"0/#fAg)y)**!#:7$$"0>QwAfiP&!#9$"/"pmi]%))**!#97$$"0v],8QdU&!#9$"0%R0dv+*)**!#:7$$"0b4>G4pZ&!#9$"0#*z3Lb&*)**!#:7$$"0oNrK;z_&!#9$"0/-"3U2!***!#:7$$"0d8FM$Q!e&!#9$"0[T43"e!***!#:7$$"0'Hf=jfEc!#9$"0"p4qg+"***!#:7$$"/'>R=@'yc!#8$"0A;dih9***!#:7$$"0rT$o'f3t&!#9$"/P[be*=***!#97$$"0>Qw7,7y&!#9$"/jZCMH#***!#97$$"0Rxa*f"p#e!#9$"0DXXaPE***!#:7$$"0([(\Rv7)e!#9$"0W.#3o-$***!#:7$$"0U$oO\KFf!#9$"0E],VSL***!#:7$$"0.05]"*3)f!#9$"0z)4bvo$***!#:7$$"0nMp)pIGg!#9$"0o!o,(zR***!#:7$$"0v\**GH.3'!#9$"0Pj+r%G%***!#:7$$"07BY#o')Hh!#9$"0r+IygX***!#:7$$"08E_/a:='!#9$"0hQujM[***!#:7$$"0sV([!>!Hi!#9$"08De'R2&***!#:7$$"0oOtY;-G'!#9$"/Gx.(>`***!#97$$"0T#['>'RLj!#9$"0oA2*>c&***!#:7$$"0=NqI*ozj!#9$"0$H+sEw&***!#:7$$"0PtY8(oHk!#9$"0'o(oBpf***!#:7$$"0d9HyR8['!#9$"0deJ2sh***!#:7$$"0b5@#=(=`'!#9$"0lq9jgj***!#:7$$"0rT$oTw!e'!#9$"0')*pGU`'***!#:7$$"0d9Hy]]j'!#9$"0XoyH<n***!#:7$$"0,.1sHQo'!#9$"0TdI`to***!#:7$$"0@T#[;"ft'!#9$"0$eu]@.(***!#:7$$"0*yd:c5$y'!#9$"0oyG#*or***!#:7$$"0>Pu3,Z$o!#9$"0aY5D6t***!#:7$$"0kFbS[K)o!#9$"0&49K'Qu***!#:7$$"0.17M%*R$p!#9$"/dUP`c(***!#97$$"0AW)oxg$)p!#9$"04tX:$o(***!#:7$$"0C['H%[b.(!#9$"0$[W&R+y***!#:7$$"0['HfMd&3(!#9$"0:Q8q2z***!#:7$$"0$pQx7tOr!#9$"0LDi-7!)***!#:7$$"0d9H[lu=(!#9$"0Ea,N5")***!#:7$$"0sV([\3Ms!#9$"07!=2k>)***!#:7$$"0%ze<h^(G(!#9$"0JE*H-H)***!#:7$$"/)f>f0`L(!#8$"0J_U+q$)***!#:7$$"0)f>R"fiQ(!#9$"085`'4X)***!#:7$$"09Fa=G]V(!#9$"0%R$ooC&)***!#:7$$"0f=P%*z"*[(!#9$"0[w@W-')***!#:7$$"0>PuQrg`(!#9$"0v*Rakm)***!#:7$$"0Rxaf$H*e(!#9$"0XkUcN()***!#:7$$"0^,.')*zPw!#9$"0<^jU&z)***!#:7$$"0xa44e3p(!#9$"0jPemd))***!#:7$$"0Fa3PQmt(!#9$"08Ewx3*)***!#:7$$"0:Heww()y(!#9$"0n:(3U'*)***!#:7$$"0/29))R"Ry!#9$"0%eax],****!#:7$$"/*zf4q%*)y!#8$"0ivvTj!****!#:7$$"0(Qxa^hRz!#9$"0F$Q?#4"****!#:7$$"0&*)yd))y()z!#9$"0og<6^"****!#:7$$"0mKl!f')R!)!#9$"0u2X=%>****!#:7$$"0D]+6*\*3)!#9$"0N%R+KB****!#:7$$"0*zf>dtT")!#9$"0OxVAs#****!#:7$$"0v],VA!*=)!#9$"06p^$eI****!#:7$$"0W([(4$GT#)!#9$"0*Rry6M****!#:7$$"0D]+rR8H)!#9$"01pKMt$****!#:7$$"04<M[u7M)!#9$"0Ow\'QS****!#:7$$"0pQxaJMR)!#9$"0Tz*eTV****!#:7$$"/-/3,ZT%)!#8$"/*prpg%****!#97$$"07C[;o1\)!#9$"0e(Q'e'[****!#:7$$"0jE`m))\a)!#9$"0.9+t8&****!#:7$$"0tX"H9<%f)!#9$"/,Vmq`****!#97$$"0%ze<+ZW')!#9$"/EVu(f&****!#97$$"0;KkQAcp)!#9$"0a^es"e****!#:7$$"0oOtOTEu)!#9$"0=9n$4g****!#:7$$"0'>Ry?w#z)!#9$"03RVW?'****!#:7$$"0oOtE,D%))!#9$"0JX1')Q'****!#:7$$"0Z$pQnq&*))!#9$"0pzBdd'****!#:7$$"0c6BEeE%*)!#9$"0$=xxKn****!#:7$$"0NpQdIo**)!#9$"0(=n00p****!#:7$$"0rU&3prX!*!#9$"0L29F0(****!#:7$$"0/29Q(3%4*!#9$"/>)y=>(****!#97$$"0Z%*)y65Y"*!#9$"0()[-UL(****!#:7$$"0d9HQD$)>*!#9$"/r`%)pu****!#97$$"/%zenTeC*!#8$"0`_ase(****!#:7$$"0rT$o=I'H*!#9$".syfq(****!#87$$"06AW3YbM*!#9$"02?2i"y****!#:7$$"0'3<Mt#*)R*!#9$"0.l@(Hz****!#:7$$"0#Rycp6X%*!#9$"0@MqJ-)****!#:7$$"0%ze<u;)\*!#9$"0/&pID")****!#:7$$"0\)pRw.[&*!#9$"0'RP];#)****!#:7$$"0D\)phU(f*!#9$"0_tYCI)****!#:7$$"0sW*))R&ok*!#9$"0:'=J%Q)****!#:7$$"0RycBnsp*!#9$"0^mVPY)****!#:7$$"0KjEV/2v*!#9$"03(3oV&)****!#:7$$"0uZ&46q*z*!#9$"0F$[J8')****!#:7$$"0`067n![)*!#9$"0wJ'yy')****!#:7$$"0Hd9fp(**)*!#9$"0)R'f`u)****!#:7$$"0D]+^f8&**!#9$"0ESW%3))****!#:7$$"$+"!""$"/QY,l))****!#9-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%'CURVESG6$7dw7$$""!!""$"#5!""7$$"0jD^-0wD&!#;$"#5!""7$$"08E_/>A$)*!#;$"#5!""7$$"0Rxa4&o(\"!#:$"#5!""7$$"017C[eb,#!#:$"#5!""7$$"0pPv]q4`#!#:$"#5!""7$$"/3;KM#)3I!#9$"#5!""7$$"0V'GdCh.N!#:$"#5!""7$$"0Pu[(RK:S!#:$"#5!""7$$"0oNrU%RDX!#:$"#5!""7$$"0d9Hek+0&!#:$"#5!""7$$"0a3<M%>7b!#:$"#5!""7$$"0([(\*HWKg!#:$"#5!""7$$"0)f>Ry#[b'!#:$"#5!""7$$"0"3;KCCeq!#:$"#5!""7$$"0w_06"R:v!#:$"#5!""7$$"0kFb5&)*e!)!#:$"#5!""7$$"028E_![>&)!#:$"#5!""7$$"0:He;Y^0*!#:$"#5!""7$$"0jD^-,$H&*!#:$"#5!""7$$"0kFbS_\+"!#9$"#5!""7$$"0,,-%**[a5!#9$"#5!""7$$"0-/3;xh5"!#9$"#5!""7$$"0h@V;UO:"!#9$"#5!""7$$"0d9HeR[?"!#9$"#5!""7$$"/.17$>!e7!#8$"#5!""7$$"028EU7VI"!#9$"#5!""7$$"0E^-D5VN"!#9$"#5!""7$$"0Y#\)*G'fS"!#9$"#5!""7$$"0W)oP\\c9!#9$"#5!""7$$"/'>RG(Q0:!#8$"#5!""7$$"0Y#\)*Qnf:!#9$"#5!""7$$"/4=OGX3;!#8$"#5!""7$$"/">QwM0m"!#8$"#5!""7$$"0yb6tGxq"!#9$"#5!""7$$"03:I?C$f<!#9$"#5!""7$$"0`06_ry!=!#9$"#5!""7$$"0#Rycuhe=!#9$"#5!""7$$"06AW)3B3>!#9$"#5!""7$$"08E_ar,'>!#9$"#5!""7$$"0Pu[d'>5?!#9$"#5!""7$$"0#['HRa81#!#9$"#5!""7$$"0Y#\)f)37@!#9$"#5!""7$$"0h@V13(e@!#9$"#5!""7$$"0$e;L#R@@#!#9$"#5!""7$$"0pPvqG*fA!#9$"#5!""7$$"0(QxaA)3J#!#9$"#5!""7$$"0.05I^'fB!#9$"#5!""7$$"0['HfI!QT#!#9$"#5!""7$$"03:I]%pgC!#9$"#5!""7$$"0Gb5r;R^#!#9$"#5!""7$$"/%ze(HUiD!#8$"#5!""7$$"0mKl?"[:E!#9$"#5!""7$$"0;Kk[h7m#!#9$"#5!""7$$"0/29))*R8F!#9$"#5!""7$$"0#\)p*HwjF!#9$"#5!""7$$"0zd:@$49G!#9$"#5!""7$$"0w^.FQU'G!#9$"#5!""7$$"0$oOt>T7H!#9$"#5!""7$$"0b5@-*[kH!#9$"#5!""7$$"09GcAAT,$!#9$"#5!""7$$"0)e<N)ej1$!#9$"#5!""7$$"0kGdaXO6$!#9$"#5!""7$$"0LlI@1f;$!#9$"#5!""7$$"09Gc#G'f@$!#9$"#5!""7$$"0(\**)f(*eE$!#9$"#5!""7$$"0e;Lma!=L!#9$"#5!""7$$"04=OA$4mL!#9$"#5!""7$$"0,-/G"H:M!#9$"#5!""7$$"0_/4y6'pM!#9$"#5!""7$$"0iBZa%z=N!#9$"#5!""7$$"0$e;LJ4pN!#9$"#5!""7$$"005?]X-i$!#9$"#5!""7$$"0d9H[ksm$!#9$"#5!""7$$"0&)pR>&Q<P!#9$"#5!""7$$"0d9HQCrw$!#9$"#5!""7$$"0OrU&)H.#Q!#9$"#5!""7$$"0X*)yP"GnQ!#9$"#5!""7$$"0CZ%*o`9#R!#9$"#5!""7$$"/17C+MqR!#8$"#5!""7$$"0#\)p\5(=S!#9$"#5!""7$$"0OsWHC22%!#9$"#5!""7$$"0Y#\)\[H7%!#9$"#5!""7$$"0Hd9zk/<%!#9$"#5!""7$$"/'>R)\#4A%!#8$"#5!""7$$")#p,F%!"($"#5!""7$$"0u[(\/bBV!#9$"#5!""7$$"0"=Os+upV!#9$"#5!""7$$"0$e;L0zAW!#9$"#5!""7$$"0Qw_vgEZ%!#9$"#5!""7$$"09FaG\?_%!#9$"#5!""7$$"0hAX5x9d%!#9$"#5!""7$$"0Gc7N!*=i%!#9$"#5!""7$$"0@T#[vKvY!#9$"#5!""7$$"0jD^ACVs%!#9$"#5!""7$$"0U$oO-psZ!#9$"#5!""7$$"0=Nqq#RC[!#9$"#5!""7$$"09Gci#)f([!#9$"#5!""7$$"0.17k(GA\!#9$"#5!""7$$"0yc8FRr(\!#9$"#5!""7$$"/$f=dOI-&!#8$"#5!""7$$"/05?'=n2&!#8$"#5!""7$$"0PtY$H&z7&!#9$"#5!""7$$"0Pu[2*pt^!#9$"#5!""7$$"0&)pRRX^A&!#9$"#5!""7$$"0KjEtKpF&!#9$"#5!""7$$"0)e<NRZG`!#9$"#5!""7$$"0>QwAfiP&!#9$"#5!""7$$"0v],8QdU&!#9$"#5!""7$$"0b4>G4pZ&!#9$"#5!""7$$"0oNrK;z_&!#9$"#5!""7$$"0d8FM$Q!e&!#9$"#5!""7$$"0'Hf=jfEc!#9$"#5!""7$$"/'>R=@'yc!#8$"#5!""7$$"0rT$o'f3t&!#9$"#5!""7$$"0>Qw7,7y&!#9$"#5!""7$$"0Rxa*f"p#e!#9$"#5!""7$$"0([(\Rv7)e!#9$"#5!""7$$"0U$oO\KFf!#9$"#5!""7$$"0.05]"*3)f!#9$"#5!""7$$"0nMp)pIGg!#9$"#5!""7$$"0v\**GH.3'!#9$"#5!""7$$"07BY#o')Hh!#9$"#5!""7$$"08E_/a:='!#9$"#5!""7$$"0sV([!>!Hi!#9$"#5!""7$$"0oOtY;-G'!#9$"#5!""7$$"0T#['>'RLj!#9$"#5!""7$$"0=NqI*ozj!#9$"#5!""7$$"0PtY8(oHk!#9$"#5!""7$$"0d9HyR8['!#9$"#5!""7$$"0b5@#=(=`'!#9$"#5!""7$$"0rT$oTw!e'!#9$"#5!""7$$"0d9Hy]]j'!#9$"#5!""7$$"0,.1sHQo'!#9$"#5!""7$$"0@T#[;"ft'!#9$"#5!""7$$"0*yd:c5$y'!#9$"#5!""7$$"0>Pu3,Z$o!#9$"#5!""7$$"0kFbS[K)o!#9$"#5!""7$$"0.17M%*R$p!#9$"#5!""7$$"0AW)oxg$)p!#9$"#5!""7$$"0C['H%[b.(!#9$"#5!""7$$"0['HfMd&3(!#9$"#5!""7$$"0$pQx7tOr!#9$"#5!""7$$"0d9H[lu=(!#9$"#5!""7$$"0sV([\3Ms!#9$"#5!""7$$"0%ze<h^(G(!#9$"#5!""7$$"/)f>f0`L(!#8$"#5!""7$$"0)f>R"fiQ(!#9$"#5!""7$$"09Fa=G]V(!#9$"#5!""7$$"0f=P%*z"*[(!#9$"#5!""7$$"0>PuQrg`(!#9$"#5!""7$$"0Rxaf$H*e(!#9$"#5!""7$$"0^,.')*zPw!#9$"#5!""7$$"0xa44e3p(!#9$"#5!""7$$"0Fa3PQmt(!#9$"#5!""7$$"0:Heww()y(!#9$"#5!""7$$"0/29))R"Ry!#9$"#5!""7$$"/*zf4q%*)y!#8$"#5!""7$$"0(Qxa^hRz!#9$"#5!""7$$"0&*)yd))y()z!#9$"#5!""7$$"0mKl!f')R!)!#9$"#5!""7$$"0D]+6*\*3)!#9$"#5!""7$$"0*zf>dtT")!#9$"#5!""7$$"0v],VA!*=)!#9$"#5!""7$$"0W([(4$GT#)!#9$"#5!""7$$"0D]+rR8H)!#9$"#5!""7$$"04<M[u7M)!#9$"#5!""7$$"0pQxaJMR)!#9$"#5!""7$$"/-/3,ZT%)!#8$"#5!""7$$"07C[;o1\)!#9$"#5!""7$$"0jE`m))\a)!#9$"#5!""7$$"0tX"H9<%f)!#9$"#5!""7$$"0%ze<+ZW')!#9$"#5!""7$$"0;KkQAcp)!#9$"#5!""7$$"0oOtOTEu)!#9$"#5!""7$$"0'>Ry?w#z)!#9$"#5!""7$$"0oOtE,D%))!#9$"#5!""7$$"0Z$pQnq&*))!#9$"#5!""7$$"0c6BEeE%*)!#9$"#5!""7$$"0NpQdIo**)!#9$"#5!""7$$"0rU&3prX!*!#9$"#5!""7$$"0/29Q(3%4*!#9$"#5!""7$$"0Z%*)y65Y"*!#9$"#5!""7$$"0d9HQD$)>*!#9$"#5!""7$$"/%zenTeC*!#8$"#5!""7$$"0rT$o=I'H*!#9$"#5!""7$$"06AW3YbM*!#9$"#5!""7$$"0'3<Mt#*)R*!#9$"#5!""7$$"0#Rycp6X%*!#9$"#5!""7$$"0%ze<u;)\*!#9$"#5!""7$$"0\)pRw.[&*!#9$"#5!""7$$"0D\)phU(f*!#9$"#5!""7$$"0sW*))R&ok*!#9$"#5!""7$$"0RycBnsp*!#9$"#5!""7$$"0KjEV/2v*!#9$"#5!""7$$"0uZ&46q*z*!#9$"#5!""7$$"0`067n![)*!#9$"#5!""7$$"0Hd9fp(**)*!#9$"#5!""7$$"0D]+^f8&**!#9$"#5!""7$$"$+"!""$"#5!""-%&COLORG6&%$RGBG$"(=TH(!"($")MLLL!")$"'^u#)!"'-%'CURVESG6$7dw7$$""!!""$"#7!""7$$"0jD^-0wD&!#;$"0m8#fB$y="!#97$$"08E_/>A$)*!#;$"0L?n")Qz<"!#97$$"0Rxa4&o(\"!#:$"00'e]7_n6!#97$$"017C[eb,#!#:$"0m]D+Lx:"!#97$$"0pPv]q4`#!#:$"0C#p$[J'[6!#97$$"/3;KM#)3I!#9$"0_A=;?29"!#97$$"0V'GdCh.N!#:$"0)fMrK-L6!#97$$"0Pu[(RK:S!#:$"0E*R*Rab7"!#97$$"0oNrU%RDX!#:$"0XPN_q&=6!#97$$"0d9Hek+0&!#:$"0vv%)3K=6"!#97$$"0a3<M%>7b!#:$"0^pH+Xi5"!#97$$"0([(\*HWKg!#:$"0;(*zh=.5"!#97$$"0)f>Ry#[b'!#:$"0Awu'*GZ4"!#97$$"0"3;KCCeq!#:$"0'>,E7m*3"!#97$$"0w_06"R:v!#:$"0N#[SGJ&3"!#97$$"0kFb5&)*e!)!#:$"0'*)*3,O/3"!#97$$"028E_![>&)!#:$"0FI`))Ql2"!#97$$"0:He;Y^0*!#:$"0h_ePeA2"!#97$$"0jD^-,$H&*!#:$"0AyBM#oo5!#97$$"0kFbS_\+"!#9$"0k(pcW(\1"!#97$$"0,,-%**[a5!#9$"0)eZP1kh5!#97$$"0-/3;xh5"!#9$"0VzlMa$e5!#97$$"0h@V;UO:"!#9$"0;!yL"*\b5!#97$$"0d9HeR[?"!#9$"0Tn4e$e_5!#97$$"/.17$>!e7!#8$"0W'3Q[s\5!#97$$"028EU7VI"!#9$"0^"fN)ot/"!#97$$"0E^-D5VN"!#9$"0b.v([&\/"!#97$$"0Y#\)*G'fS"!#9$"0[(G#R&fU5!#97$$"0W)oP\\c9!#9$"0"H(ph6//"!#97$$"/'>RG(Q0:!#8$"/lOd#4%Q5!#87$$"0Y#\)*Qnf:!#9$"0/A701j."!#97$$"/4=OGX3;!#8$"/3f;z^M5!#87$$"/">QwM0m"!#8$"0#[Us)3F."!#97$$"0yb6tGxq"!#9$"0#\='4a6."!#97$$"03:I?C$f<!#9$"/fyo6aH5!#87$$"0`06_ry!=!#9$"/9.S>5G5!#87$$"0#Rycuhe=!#9$"0:&fpVnE5!#97$$"06AW)3B3>!#9$"0$[RD0ND5!#97$$"08E_ar,'>!#9$"0cP?dOS-"!#97$$"0Pu[d'>5?!#9$"/;,Qp$G-"!#87$$"0#['HRa81#!#9$"09VlMt;-"!#97$$"0Y#\)f)37@!#9$"0<E*H"z0-"!#97$$"0h@V13(e@!#9$"0wHrOB'>5!#97$$"0$e;L#R@@#!#9$"0\iLT$e=5!#97$$"0pPvqG*fA!#9$"0n2#e3q<5!#97$$"0(QxaA)3J#!#9$"00L2v1o,"!#97$$"0.05I^'fB!#9$"0$HQsR*f,"!#97$$"0['HfI!QT#!#9$"0r+59Q^,"!#97$$"03:I]%pgC!#9$"0N7wmMW,"!#97$$"0Gb5r;R^#!#9$"/9jwin85!#87$$"/%ze(HUiD!#8$"0nbBH?I,"!#97$$"0mKl?"[:E!#9$"0C!*Q;RB,"!#97$$"0;Kk[h7m#!#9$"00(=/0y65!#97$$"0/29))*R8F!#9$"0fToLv6,"!#97$$"0#\)p*HwjF!#9$"0Z#Q?1i55!#97$$"0zd:@$49G!#9$"0m-!\S455!#97$$"0w^.FQU'G!#9$"0y&[Ecf45!#97$$"0$oOt>T7H!#9$"0^5B?S"45!#97$$"0b5@-*[kH!#9$"0Z:qOs'35!#97$$"09GcAAT,$!#9$"0R/J(*[#35!#97$$"0)e<N)ej1$!#9$"0AP+&e#y+"!#97$$"0kGdaXO6$!#9$"0Zkuqhu+"!#97$$"0LlI@1f;$!#9$"0"\Wy!zq+"!#97$$"09Gc#G'f@$!#9$"0k;+7Jn+"!#97$$"0(\**)f(*eE$!#9$"/jOe6S15!#87$$"0e;Lma!=L!#9$"0MiT(Q215!#97$$"04=OA$4mL!#9$"09RFM(y05!#97$$"0,-/G"H:M!#9$"0YKp(z]05!#97$$"0_/4y6'pM!#9$"0"z=V_@05!#97$$"0iBZa%z=N!#9$"0(eE1P'\+"!#97$$"0$e;LJ4pN!#9$"0U'yk!>Z+"!#97$$"005?]X-i$!#9$"0(R])o#[/5!#97$$"0d9H[ksm$!#9$"0Y\]"fF/5!#97$$"0&)pR>&Q<P!#9$"0dT`.mS+"!#97$$"0d9HQCrw$!#9$"0*z?yz'Q+"!#97$$"0OrU&)H.#Q!#9$"0HlY#om.5!#97$$"0X*)yP"GnQ!#9$"0n$[_!)\.5!#97$$"0CZ%*o`9#R!#9$"0E7^)HJ.5!#97$$"/17C+MqR!#8$"01*)=UaJ+"!#97$$"0#\)p\5(=S!#9$"03K[-0I+"!#97$$"0OsWHC22%!#9$"0LMIG_G+"!#97$$"0Y#\)\[H7%!#9$"0W`Zv1F+"!#97$$"0Hd9zk/<%!#9$"0PcM#3e-5!#97$$"/'>R)\#4A%!#8$"0VGT^`C+"!#97$$")#p,F%!"($"0HkSMNB+"!#97$$"0u[(\/bBV!#9$"0Ev1o8A+"!#97$$"0"=Os+upV!#9$"0^))ea8@+"!#97$$"0$e;L0zAW!#9$"0mxY7/?+"!#97$$"0Qw_vgEZ%!#9$"0b<RW1>+"!#97$$"09FaG\?_%!#9$"."33W"=+"!#77$$"0hAX5x9d%!#9$"0X!3bns,5!#97$$"0Gc7N!*=i%!#9$"0xNAsT;+"!#97$$"0@T#[vKvY!#9$"0igI;c:+"!#97$$"0jD^ACVs%!#9$"/uxV;[,5!#87$$"0U$oO-psZ!#9$"042#*e69+"!#97$$"0=Nqq#RC[!#9$"0T7eOS8+"!#97$$"09Gci#)f([!#9$"0*[3%)GF,5!#97$$"0.17k(GA\!#9$"04$)p@:7+"!#97$$"0yc8FRr(\!#9$"0^#)3G]6+"!#97$$"/$f=dOI-&!#8$"/&[Ei)4,5!#87$$"/05?'=n2&!#8$"0i&eT6/,5!#97$$"0PtY$H&z7&!#9$"0d794*)4+"!#97$$"0Pu[2*pt^!#9$"0`[=#[%4+"!#97$$"0&)pRRX^A&!#9$"08(*3S(*3+"!#97$$"0KjEtKpF&!#9$"0-x62_3+"!#97$$"0)e<NRZG`!#9$"0*3LK#43+"!#97$$"0>QwAfiP&!#9$"0fpJWr2+"!#97$$"0v],8QdU&!#9$"0z"fuTt+5!#97$$"0b4>G4pZ&!#9$"0(=^Dvp+5!#97$$"0oNrK;z_&!#9$"/a&f"Gm+5!#87$$"0d8FM$Q!e&!#9$"0$3A:*G1+"!#97$$"0'Hf=jfEc!#9$"0cia\+1+"!#97$$"/'>R=@'yc!#8$"0D\h.q0+"!#97$$"0rT$o'f3t&!#9$"0HMq+T0+"!#97$$"0>Qw7,7y&!#9$"0n`CV90+"!#97$$"0Rxa*f"p#e!#9$"0s*QL9\+5!#97$$"0([(\Rv7)e!#9$"0,k.Ul/+"!#97$$"0U$oO\KFf!#9$"0@ZYYW/+"!#97$$"0.05]"*3)f!#9$"0QqGF@/+"!#97$$"0nMp)pIGg!#9$"0zOjv,/+"!#97$$"0v\**GH.3'!#9$"0[9EQ"Q+5!#97$$"07BY#o')Hh!#9$"0-)[VHO+5!#97$$"08E_/a:='!#9$"0w9UlW.+"!#97$$"0sV([!>!Hi!#9$"0,?@nG.+"!#97$$"0oOtY;-G'!#9$"0HHLE7.+"!#97$$"0T#['>'RLj!#9$"0x!H'3'H+5!#97$$"0=NqI*ozj!#9$"0ct")o#G+5!#97$$"0PtY8(oHk!#9$"0p&=)*)o-+"!#97$$"0d9HyR8['!#9$"03Q!e`D+5!#97$$"0b5@#=(=`'!#9$"0lC=xU-+"!#97$$"0rT$oTw!e'!#9$"0/f\=J-+"!#97$$"0d9Hy]]j'!#9$"084m'*=-+"!#97$$"0,.1sHQo'!#9$"0(\zR&3-+"!#97$$"0@T#[;"ft'!#9$"0[LX&z>+5!#97$$"0*yd:c5$y'!#9$"0Ksv#))=+5!#97$$"0>Pu3,Z$o!#9$"0f#HI$z,+"!#97$$"0kFbS[K)o!#9$"0-%yI3<+5!#97$$"0.17M%*R$p!#9$"0/FnPi,+"!#97$$"0AW)oxg$)p!#9$"0vEg^a,+"!#97$$"0C['H%[b.(!#9$"0%=3%pY,+"!#97$$"0['HfMd&3(!#9$"0pN_`R,+"!#97$$"0$pQx7tOr!#9$"036bdK,+"!#97$$"0d9H[lu=(!#9$"0=Wj,E,+"!#97$$"0sV([\3Ms!#9$"00wcF?,+"!#97$$"0%ze<h^(G(!#9$"/@;<S6+5!#87$$"/)f>f0`L(!#8$"0;7fp3,+"!#97$$"0)f>R"fiQ(!#9$"0TZcH.,+"!#97$$"09Fa=G]V(!#9$"/4Sy$)4+5!#87$$"0f=P%*z"*[(!#9$"0\GA>$4+5!#97$$"0>PuQrg`(!#9$"0z.G#*)3+5!#97$$"0Rxaf$H*e(!#9$"0(Q[8V3+5!#97$$"0^,.')*zPw!#9$"0ON5K!3+5!#97$$"0xa44e3p(!#9$"0y7,<w++"!#97$$"0Fa3PQmt(!#9$"/9RhF2+5!#87$$"0:Heww()y(!#9$"00vY1p++"!#97$$"0/29))R"Ry!#9$"0HxAnl++"!#97$$"/*zf4q%*)y!#8$"0Lw&[C1+5!#97$$"0(Qxa^hRz!#9$"0jDTRf++"!#97$$"0&*)yd))y()z!#9$"0@d0gc++"!#97$$"0mKl!f')R!)!#9$"0m[#GP0+5!#97$$"0D]+6*\*3)!#9$"0n2l7^++"!#97$$"0*zf>dtT")!#9$"0kgU_[++"!#97$$"0v],VA!*=)!#9$"025IGY++"!#97$$"0W([(4$GT#)!#9$"0KUi#R/+5!#97$$"0D]+rR8H)!#9$"0<z9yT++"!#97$$"04<M[u7M)!#9$"0$RGY(R++"!#97$$"0pQxaJMR)!#9$"0b#HEx.+5!#97$$"/-/3,ZT%)!#8$"0%Rvcf.+5!#97$$"07C[;o1\)!#9$"0B.0BM++"!#97$$"0jE`m))\a)!#9$"0fE1UK++"!#97$$"0tX"H9<%f)!#9$"0P>Y'3.+5!#97$$"0%ze<+ZW')!#9$"0jC0NH++"!#97$$"0;KkQAcp)!#9$"0H()o)y-+5!#97$$"0oOtOTEu)!#9$"0j))fgE++"!#97$$"0'>Ry?w#z)!#9$"0_6`ID++"!#97$$"0oOtE,D%))!#9$"/iSxS-+5!#87$$"0Z$pQnq&*))!#9$"0&4")HG-+5!#97$$"0c6BEeE%*)!#9$"0.oEy@++"!#97$$"0NpQdIo**)!#9$"0c>Sj?++"!#97$$"0rU&3prX!*!#9$"01Q&\'>++"!#97$$"0/29Q(3%4*!#9$"04%o@(=++"!#97$$"0Z%*)y65Y"*!#9$"00tFx<++"!#97$$"0d9HQD$)>*!#9$"0')3%oo,+5!#97$$"/%zenTeC*!#8$"0n;c3;++"!#97$$"0rT$o=I'H*!#9$"0&*fSH:++"!#97$$"06AW3YbM*!#9$"0c["fX,+5!#97$$"0'3<Mt#*)R*!#9$"0">L-Q,+5!#97$$"0#Rycp6X%*!#9$"0h)HzJ,+5!#97$$"0%ze<u;)\*!#9$"0<W$)\7++"!#97$$"0\)pRw.[&*!#9$"0^G.*=,+5!#97$$"0D\)phU(f*!#9$"0'>M<8,+5!#97$$"0sW*))R&ok*!#9$"0JW:x5++"!#97$$"0RycBnsp*!#9$"09r>C5++"!#97$$"0KjEV/2v*!#9$"0&)H!4(4++"!#97$$"0uZ&46q*z*!#9$"0W"yW#4++"!#97$$"0`067n![)*!#9$"0=&G3)3++"!#97$$"0Hd9fp(**)*!#9$"0(RWk$3++"!#97$$"0D]+^f8&**!#9$"0uhQ%z++5!#97$$"$+"!""$"0A7nc2++"!#9-%&COLORG6&%$RGBG$""!!""$"):Vy!)!")$")&yg>)!")-%%VIEWG6$;$""!!""$"$+"!""%(DEFAULTG-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"t6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%ROOTG6'-%)BOUNDS_XG6#$"$]%!""-%)BOUNDS_YG6#$"$?"!""-%-BOUNDS_WIDTHG6#$"%IM!""-%.BOUNDS_HEIGHTG6#$"%gM!""-%)CHILDRENG6"

We know that u=1 is an equilibrium point and it looks like all initial conditions u0>0 tend towards this equilibrium solution. Let's get some more insight into the solutions of this DE using direction fields We can use a command that is in an additional package called DEtools LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYjLUYsNiVRKERFdG9vbHNGJ0YvRjIvRjNRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiO0YnRj0vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGRS8lKnN5bW1ldHJpY0dGRS8lKGxhcmdlb3BHRkUvJS5tb3ZhYmxlbGltaXRzR0ZFLyUnYWNjZW50R0ZFLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMjc3Nzc3OGVtRic=

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

You can end the line above with a : to avoid seeing all these function names 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

-%%PLOTG6&-%'CURVESG6]dl7%7$$!2$4BmW(yL>"!#<$!2f/"G,"*e8<!#<7$$"2$4BmW(yL>"!#<$!2W&*=()*3T'G#!#<7$$"1*z&\X(GS\*!#<$!2'4j!e!4Mj?!#<7%7$$!2wBs35'>h;!#<$!2^)*)z'3<o-"!#<7$$"2wBs35'>h;!#<$!2\,,Kq)\*\"!#<7$$"1&4)=E]nJ5!#;$!29x.h5]<H"!#<7%7$$!2QK7.KaA?#!#<$!1t]8&RsI/%!#<7$$"2QK7.KaA?#!#<$!1F\'[QVK['!#<7$$"1:\bs<2E5!#;$!1h;6dZ7S\!#<7%7$$!1Op#[%z;VB!#;$"1%\:n()\Bi"!#<7$$"1Op#[%z;VB!#;$"11XGVk<)e#!#<7$$"0lD@e$yOx!#;$"2dOU<)\f-J!#=7%7$$!23-86'eg>?!#<$"1$y[*=WjTx!#<7$$"23-86'eg>?!#<$"2<70,St07"!#<7$$"1^knE4v=V!#<$"2*e&RMl=;3"!#<7%7$$!1<lP`_Ru;!#;$"1(Q#GECq\9!#;7$$"1<lP`_Ru;!#;$"18wrD'=(=>!#;7$$"0*o>iK<d>!#;$"1Nzw`e()G=!#;7%7$$!1p*z:&)\mV"!#;$"2'[?%HJTu:#!#<7$$"1p*z:&)\mV"!#;$"1_z0^Rm%o#!#;7$$"1O10/\x\c!#=$"10q`#Qx!oD!#;7%7$$!13"3vH%*yG"!#;$"2Y?\p%RizG!#<7$$"13"3vH%*yG"!#;$"1&z]q_lhV$!#;7$$!1c'y*fw7FC!#=$"2E%ez#)G40L!#<7%7$$!2lxc]^Z;?"!#<$"1f/<pV+4O!#;7$$"2lxc]^Z;?"!#<$"28aH[Jp/=%!#<7$$!1\lbz$=Z#p!#=$"2aN7Kpa;/%!#<7%7$$!1T=(eA=?;"!#;$"1[A=Y;lUV!#;7$$"1T=(eA=?;"!#;$"2Ev<)\i]?\!#<7$$!1,STK"o&\*)!#=$"1$=\dB#GyZ!#;7%7$$!2v)z*eA=?;"!#<$"14V=^P\z]!#;7$$"2v)z*eA=?;"!#<$"1"p:[N[tl&!#;7$$!0T'3J"o&\*)!#<$"1T$\2MC^^&!#;7%7$$!2oxc]^Z;?"!#<$"0Yq^oI&>e!#:7$$"2oxc]^Z;?"!#<$"1T&H3j&*4R'!#;7$$!1\lbz$=Z#p!#=$"1bB@45=_i!#;7%7$$!2_xiwH%*yG"!#<$"1OK'RZMQc'!#;7$$"2_xiwH%*yG"!#<$"1kn.agP?r!#;7$$!1trz^w7FC!#=$"12hz4MI*)p!#;7%7$$!1=_$=&)\mV"!#;$"18$p*\gL:t!#;7$$"1=_$=&)\mV"!#;$"1'oI!)oeD%y!#;7$$"2&[nG=\x\c!#>$"1Kf`>@(fs(!#;7%7$$!2vC!z^_Ru;!#<$"1(Rg+P"G"3)!#;7$$"2vC!z^_Ru;!#<$"1.'R*pvH]&)!#;7$$"1z8T_K<d>!#<$"1%)Qz(za/Y)!#;7%7$$!0%Qjheg>?!#:$"12R,,mUz))!#;7$$"0%Qjheg>?!#:$"1%4')*el$eA*!#;7$$"2:H82$4v=V!#=$"11TT7=)o=*!#;7%7$$!1>H!R%z;VB!#;$"0z#z]B=T(*!#:7$$"1>H!R%z;VB!#;$"16s?4]wP)*!#;7$$"1([UIc$yOx!#<$"0RkC'o?*))*!#:7%7$$!2/Y<(>VD-A!#<$"2WppRVK[1"!#;7$$"2/Y<(>VD-A!#<$"2dIISsI//"!#;7$$"2FT7Fxrg-"!#<$"1y!>.">'e0"!#:7%7$$!2[)o:(4'>h;!#<$"1'Gr3()\*\6!#:7$$"2[)o:(4'>h;!#<$"19(G"4<o-6!#:7$$"1;'Qd-v;."!#;$"1Ny&)olXB6!#:7%7$$!2&4BmW(yL>"!#<$"2a*=()*3T'G7!#;7$$"2&4BmW(yL>"!#<$"2Y5G,"*e8<"!#;7$$"/e\X(GS\*!#:$"2"p$>%4fm$>"!#;7%7$$"1"pP.:z(pS!#;$!2f/"G,"*e8<!#<7$$"14BmRm`ck!#;$!2W&*=()*3T'G#!#<7$$"0e\&p2c7i!#:$!2'4j!e!4Mj?!#<7%7$$"2EwFTzh>g$!#<$!2^)*)z'3<o-"!#<7$$"1QA(e*RNCp!#;$!2\,,Kq)\*\"!#<7$$"1&4)=@H$[H'!#;$!29x.h5]<H"!#<7%7$$"2nn(ouN!41$!#<$!1t]8&RsI/%!#<7$$"1CBJ:ATlu!#;$!1F\'[QVK['!#<7$$"1:\bn'H#*G'!#;$!1h;6dZ7S\!#<7%7$$"1kI<]**)*>H!#;$"1%\:n()\Bi"!#<7$$"1Op#)ReK1w!#;$"11XGVk<)e#!#<7$$"1lD@`i$o.'!#;$"2dOU<)\f-J!#=7%7$$"2%zp)Q._NC$!#<$"1$y[*=WjTx!#<7$$"1@I6cPw#G(!#;$"2<70,St07"!#<7$$"1Xwm()H.&p&!#;$"2*e&RMl=;3"!#<7%7$$"1$[B;ki()e$!#;$"1(Q#GECq\9!#;7$$"1<lP[JbPp!#;$"18wrD'=(=>!#;7$$"0p>7Av)ea!#:$"1Nzw`e()G=!#;7%7$$"2;.?M/3l#Q!#<$"2'[?%HJTu:#!#<7$$"1p*zlu2)*p'!#;$"1_z0^Rm%o#!#;7$$"110/Wcl>`!#;$"10q`#Qx!oD!#;7%7$$"1#*=\(fj_(R!#;$"2Y?\p%RizG!#<7$$"14"3D>_5b'!#;$"1&z]q_lhV$!#;7$$"19-S=m))Q_!#;$"2E%ez#)G40L!#<7%7$$"1CK%*z.^hS!#;$"1f/<pV+4O!#;7$$"1wn05a![Y'!#;$"28aH[Jp/=%!#<7$$"1NW?62"R>&!#;$"2aN7Kpa;/%!#<7%7$$"2$f"G"p'R65%!#<$"1[A=Y;lUV!#;7$$"1U=(37w^U'!#;$"2Ev<)\i]?\!#<7$$"0'en8Amt^!#:$"1$=\dB#GyZ!#;7%7$$"18?5p'R65%!#;$"14V=^P\z]!#;7$$"1()z*37w^U'!#;$"1"p:[N[tl&!#;7$$"1O"*o8Amt^!#;$"1T$\2MC^^&!#;7%7$$"2MAV*z.^hS!#<$"0Yq^oI&>e!#:7$$"1yn05a![Y'!#;$"1T&H3j&*4R'!#;7$$"1NW?62"R>&!#;$"1bB@45=_i!#;7%7$$"1DsL(fj_(R!#;$"1OK'RZMQc'!#;7$$"1vFm#>_5b'!#;$"1kn.agP?r!#;7$$"1G?[=m))Q_!#;$"12hz4MI*)p!#;7%7$$"2CykJ/3l#Q!#<$"18$p*\gL:t!#;7$$"1=_$ou2)*p'!#;$"1'oI!)oeD%y!#;7$$"1oG=Wcl>`!#;$"1Kf`>@(fs(!#;7%7$$"1`(4Kki()e$!#;$"1(Rg+P"G"3)!#;7$$"1Z-zYJbPp!#;$"1.'R*pvH]&)!#;7$$"1P6C?_()ea!#;$"1%)Qz(za/Y)!#;7%7$$"20;mL._NC$!#<$"12R,,mUz))!#;7$$"0%QjcPw#G(!#:$"1%4')*el$eA*!#;7$$"1H82))H.&p&!#;$"11TT7=)o=*!#;7%7$$"1"3(4^**)*>H!#;$"0z#z]B=T(*!#:7$$"1>H!*QeK1w!#;$"16s?4]wP)*!#;7$$"1[UI^i$o.'!#;$"0RkC'o?*))*!#:7%7$$"0a#GvN!41$!#:$"2WppRVK[1"!#;7$$"1hur9ATlu!#;$"2dIISsI//"!#;7$$"18Crn'H#*G'!#;$"1y!>.">'e0"!#:7%7$$"1:J%yzh>g$!#;$"1'Gr3()\*\6!#:7$$"1&)o:#*RNCp!#;$"19(G"4<o-6!#:7$$"1<'Q2#H$[H'!#;$"1Ny&)olXB6!#:7%7$$"22pP.:z(pS!#<$"2a*=()*3T'G7!#;7$$"14BmRm`ck!#;$"2Y5G,"*e8<"!#;7$$"0e\&p2c7i!#:$"2"p$>%4fm$>"!#;7%7$$"1"pP`/PHL*!#;$!2f/"G,"*e8<!#<7$$"1JiY`%p><"!#:$!2W&*=()*3T'G#!#<7$$"2"e\Xm=dZ6!#;$!2'4j!e!4Mj?!#<7%7$$"1jx7*o>^'))!#;$!2^)*)z'3<o-"!#<7$$"2QA(3*=^(=7!#;$!2\,,Kq)\*\"!#<7$$"2&4)=;3*zb6!#;$!29x.h5]<H"!#<7%7$$"1xwop91C$)!#;$!1t]8&RsI/%!#<7$$"2DBJ5,dGF"!#;$!1F\'[QVK['!#<7$$"2;\bivQ_:"!#;$!1h;6dZ7S\!#<7%7$$"1kI<Xy9$=)!#;$"1%\:n()\Bi"!#<7$$"2Op#[t$[pG"!#;$"11XGVk<)e#!#<7$$"2nD@[T***H6!#;$"2dOU<)\f-J!#=7%7$$"0)p))G*4n])!#:$"1$y[*=WjTx!#<7$$"2@I6^;#fa7!#;$"2<70,St07"!#<7$$"2Zwm#)3>e4"!#;$"2*e&RMl=;3"!#<7%7$$"1$[Bm`?>&))!#;$"1(Q#GECq\9!#;7$$"2=lPV5r+A"!#;$"18wrD'=(=>!#;7$$"1p>i6L?s5!#:$"1Nzw`e()G=!#;7%7$$"1K+UQfm*3*!#;$"2'[?%HJTu:#!#<7$$"1(*z:klH'>"!#:$"1_z0^Rm%o#!#;7$$"230/RN"Ge5!#;$"10q`#Qx!oD!#;7%7$$"1$*=\#\@%Q#*!#;$"2Y?\p%RizG!#<7$$"23"3v35U"="!#;$"1&z]q_lhV$!#;7$$"28-S8X/-0"!#;$"2E%ez#)G40L!#<7%7$$"1CK%\FoYK*!#;$"1f/<pV+4O!#;7$$"2xn00L'zs6!#;$"28aH[Jp/=%!#<7$$"2MW?1'oqX5!#;$"2aN7Kpa;/%!#<7%7$$"1f"GTc(Hk$*!#;$"1[A=Y;lUV!#;7$$"2U=(e,M$)o6!#;$"2Ev<)\i]?\!#<7$$"2ien3,#oV5!#;$"1$=\dB#GyZ!#;7%7$$"18?5kvHk$*!#;$"14V=^P\z]!#;7$$"2))z*e,M$)o6!#;$"1"p:[N[tl&!#;7$$"2N"*o3,#oV5!#;$"1T$\2MC^^&!#;7%7$$"1CK%\FoYK*!#;$"0Yq^oI&>e!#:7$$"2xn00L'zs6!#;$"1T&H3j&*4R'!#;7$$"2MW?1'oqX5!#;$"1bB@45=_i!#;7%7$$"1DsL#\@%Q#*!#;$"1OK'RZMQc'!#;7$$"2vFm(35U"="!#;$"1kn.agP?r!#;7$$"2F?[8X/-0"!#;$"12hz4MI*)p!#;7%7$$"1$yk"Qfm*3*!#;$"18$p*\gL:t!#;7$$"1AN=klH'>"!#:$"1'oI!)oeD%y!#;7$$"1(G=RN"Ge5!#:$"1Kf`>@(fs(!#;7%7$$"1`(4#Q0#>&))!#;$"1(Rg+P"G"3)!#;7$$"2\-zT5r+A"!#;$"1.'R*pvH]&)!#;7$$"2R6C:J.A2"!#;$"1%)Qz(za/Y)!#;7%7$$"1hhOG*4n])!#;$"12R,,mUz))!#;7$$"1%Qj^;#fa7!#:$"1%4')*el$eA*!#;7$$"2G82$)3>e4"!#;$"11TT7=)o=*!#;7%7$$"1"3(4Yy9$=)!#;$"0z#z]B=T(*!#:7$$"1#H!Rt$[pG"!#:$"16s?4]wP)*!#;7$$"2\UIYT***H6!#;$"0RkC'o?*))*!#:7%7$$"0a#Gq91C$)!#:$"2WppRVK[1"!#;7$$"1Y<(4,dGF"!#:$"2dIISsI//"!#;7$$"29CrivQ_:"!#;$"1y!>.">'e0"!#:7%7$$"1:J%Gp>^'))!#;$"1'Gr3()\*\6!#:7$$"2&)o:()=^(=7!#;$"19(G"4<o-6!#:7$$"2<'Qd"3*zb6!#;$"1Ny&)olXB6!#:7%7$$"0pP`/PHL*!#:$"2a*=()*3T'G7!#;7$$"1JiY`%p><"!#:$"2Y5G,"*e8<"!#;7$$"2"e\Xm=dZ6!#;$"2"p$>%4fm$>"!#;7%7$$"1pP`$\4'f9!#:$!2f/"G,"*e8<!#<7$$"1JiYU_G)p"!#:$!2W&*=()*3T'G#!#<7$$"1e\Xbw)Qn"!#:$!2'4j!e!4Mj?!#<7%7$$"2hx7zvFGT"!#;$!2^)*)z'3<o-"!#<7$$"2PA(3yp1X<!#;$!2\,,Kq)\*\"!#<7$$"2%4)=1([6#o"!#;$!29x.h5]<H"!#<7%7$$"2uwof$>se8!#;$!1t]8&RsI/%!#<7$$"2CBJ+!G<*z"!#;$!1F\'[QVK['!#<7$$"29\b_aa:o"!#;$!1h;6dZ7S\!#<7%7$$"2jI<NdIYM"!#;$"1%\:n()\Bi"!#<7$$"2Np#[iTE8=!#;$"11XGVk<)e#!#<7$$"2lD@Q?:jl"!#;$"2dOU<)\f-J!#=7%7$$"2yp))=y')pP"!#;$"1$y[*=WjTx!#<7$$"1-86az!4y"!#:$"2<70,St07"!#<7$$"2Xwms([8A;!#;$"2*e&RMl=;3"!#<7%7$$"2#[BmUy]69!#;$"1(Q#GECq\9!#;7$$"2;lPL*oQY<!#;$"18wrD'=(=>!#;7$$"2)o>i+">&)f"!#;$"1Nzw`e()G=!#;7%7$$"1.?%GQ#GN9!#:$"2'[?%HJTu:#!#<7$$"2p*z:`BhA<!#;$"1_z0^Rm%o#!#;7$$"210/H9(f%e"!#;$"10q`#Qx!oD!#;7%7$$"2"*=\#Qz:]9!#;$"2Y?\p%RizG!#<7$$"22"3v(zOxq"!#;$"1&z]q_lhV$!#;7$$"26-S.C?ld"!#;$"2E%ez#)G40L!#<7%7$$"2BK%\;Eye9!#;$"1f/<pV+4O!#;7$$"2vn0&>@6*p"!#;$"28aH[Jp/=%!#<7$$"2KW?'\E-s:!#;$"2aN7Kpa;/%!#<7%7$$"2e"GTXbui9!#;$"1[A=Y;lUV!#;7$$"1%=(e!>\^p"!#:$"2Ev<)\i]?\!#<7$$"1'en)*z(**p:!#:$"1$=\dB#GyZ!#;7%7$$"27?5aaXFY"!#;$"14V=^P\z]!#;7$$"2')z*e!>\^p"!#;$"1"p:[N[tl&!#;7$$"2M"*o)*z(**p:!#;$"1T$\2MC^^&!#;7%7$$"2BK%\;Eye9!#;$"0Yq^oI&>e!#:7$$"2vn0&>@6*p"!#;$"1T&H3j&*4R'!#;7$$"2KW?'\E-s:!#;$"1bB@45=_i!#;7%7$$"2CsL#Qz:]9!#;$"1OK'RZMQc'!#;7$$"2uFmxzOxq"!#;$"1kn.agP?r!#;7$$"2E?[.C?ld"!#;$"12hz4MI*)p!#;7%7$$"1yk"GQ#GN9!#:$"18$p*\gL:t!#;7$$"2=_$=`BhA<!#;$"1'oI!)oeD%y!#;7$$"2oG=H9(f%e"!#;$"1Kf`>@(fs(!#;7%7$$"1v4#G%y]69!#:$"1(Rg+P"G"3)!#;7$$"2Z-zJ*oQY<!#;$"1.'R*pvH]&)!#;7$$"2P6C05>&)f"!#;$"1%)Qz(za/Y)!#;7%7$$"1;m$=y')pP"!#:$"12R,,mUz))!#;7$$"2RQjT&z!4y"!#;$"1%4')*el$eA*!#;7$$"2F82t([8A;!#;$"11TT7=)o=*!#;7%7$$"13(4OdIYM"!#:$"0z#z]B=T(*!#:7$$"2>H!RiTE8=!#;$"16s?4]wP)*!#;7$$"2ZUIO?:jl"!#;$"0RkC'o?*))*!#:7%7$$"2RDGg$>se8!#;$"2WppRVK[1"!#;7$$"1Y<(**zs"*z"!#:$"2dIISsI//"!#;7$$"28Cr_aa:o"!#;$"1y!>.">'e0"!#:7%7$$"29J%Gex#GT"!#;$"1'Gr3()\*\6!#:7$$"2%)o:x(p1X<!#;$"19(G"4<o-6!#:7$$"2;'Qdq[6#o"!#;$"1Ny&)olXB6!#:7%7$$"1pP`$\4'f9!#:$"2a*=()*3T'G7!#;7$$"1JiYU_G)p"!#:$"2Y5G,"*e8<"!#;7$$"1e\Xbw)Qn"!#:$"2"p$>%4fm$>"!#;7%7$$"1pP`$GDf)>!#:$!2f/"G,"*e8<!#<7$$"1JiYK5gCA!#:$!2W&*=()*3T'G#!#<7$$"1e\XXM?+A!#:$!2'4j!e!4Mj?!#<7%7$$"2jx7zaV"R>!#;$!2^)*)z'3<o-"!#<7$$"1Cs3oFQrA!#:$!2\,,Kq)\*\"!#<7$$"2)4)=1mI%3A!#;$!29x.h5]<H"!#<7%7$$"2wwofsP])=!#;$!1t]8&RsI/%!#<7$$"2BBJ+f)[DB!#;$!1F\'[QVK['!#<7$$"2;\b_Lqy?#!#;$!1h;6dZ7S\!#<7%7$$"2lI<NOY4(=!#;$"1%\:n()\Bi"!#<7$$"2Pp#[_*z&RB!#;$"11XGVk<)e#!#<7$$"2lD@Q*4j#=#!#;$"2dOU<)\f-J!#=7%7$$"1)p))=d-L!>!#:$"1$y[*=WjTx!#<7$$"1-86WPA2B!#:$"2<70,St07"!#<7$$"2Xwmsm]%[@!#;$"2*e&RMl=;3"!#<7%7$$"2%[BmKO#y$>!#;$"1(Q#GECq\9!#;7$$"2;lPLo-FF#!#;$"18wrD'=(=>!#;7$$"1p>i!*[$[7#!#:$"1Nzw`e()G=!#;7%7$$"1.?%G<)fh>!#:$"2'[?%HJTu:#!#<7$$"1(*z:V"G*[A!#:$"1_z0^Rm%o#!#;7$$"1^S!H$H"46#!#:$"10q`#Qx!oD!#;7%7$$"2$*=\#GPZw>!#;$"2Y?\p%RizG!#<7$$"163v(e_SB#!#:$"1&z]q_lhV$!#;7$$"2:-S..OG5#!#;$"2E%ez#)G40L!#<7%7$$"2DK%\1%)4&)>!#;$"1f/<pV+4O!#;7$$"2xn0&4zUDA!#;$"28aH[Jp/=%!#<7$$"2OW?'R%Q$)4#!#;$"2aN7Kpa;/%!#<7%7$$"1;GTN81*)>!#:$"1[A=Y;lUV!#;7$$"1%=(e!)\Y@A!#:$"2Ev<)\i]?\!#<7$$"2een)*e8j4#!#;$"1$=\dB#GyZ!#;7%7$$"29?5aLh!*)>!#;$"14V=^P\z]!#;7$$"1*z*e!)\Y@A!#:$"1"p:[N[tl&!#;7$$"2O"*o)*e8j4#!#;$"1T$\2MC^^&!#;7%7$$"2DK%\1%)4&)>!#;$"0Yq^oI&>e!#:7$$"2xn0&4zUDA!#;$"1T&H3j&*4R'!#;7$$"2OW?'R%Q$)4#!#;$"1bB@45=_i!#;7%7$$"2EsL#GPZw>!#;$"1OK'RZMQc'!#;7$$"2wFmxe_SB#!#;$"1kn.agP?r!#;7$$"1.#[..OG5#!#:$"12hz4MI*)p!#;7%7$$"2#yk"G<)fh>!#;$"18$p*\gL:t!#;7$$"2<_$=V"G*[A!#;$"1'oI!)oeD%y!#;7$$"2lG=H$H"46#!#;$"1Kf`>@(fs(!#;7%7$$"2`(4#GjBy$>!#;$"1(Rg+P"G"3)!#;7$$"2Z-zJo-FF#!#;$"1.'R*pvH]&)!#;7$$"19T_!*[$[7#!#:$"1%)Qz(za/Y)!#;7%7$$"1;m$=d-L!>!#:$"12R,,mUz))!#;7$$"2VQjTuBsI#!#;$"1%4')*el$eA*!#;7$$"1LrIn1X[@!#:$"11TT7=)o=*!#;7%7$$"2"3(4OOY4(=!#;$"0z#z]B=T(*!#:7$$"1#H!R_*z&RB!#:$"16s?4]wP)*!#;7$$"1D/j$*4j#=#!#:$"0RkC'o?*))*!#:7%7$$"1a#GgsP])=!#:$"2WppRVK[1"!#;7$$"1Y<(**e)[DB!#:$"2dIISsI//"!#;7$$"1T7FN.(y?#!#:$"1y!>.">'e0"!#:7%7$$"2;J%G[N9R>!#;$"1'Gr3()\*\6!#:7$$"2%)o:xw#QrA!#;$"19(G"4<o-6!#:7$$"28'Qdg1V3A!#;$"1Ny&)olXB6!#:7%7$$"1pP`$GDf)>!#:$"2a*=()*3T'G7!#;7$$"1JiYK5gCA!#:$"2Y5G,"*e8<"!#;7$$"1e\XXM?+A!#:$"2"p$>%4fm$>"!#;7%7$$"2#pP`t5C7D!#;$!2f/"G,"*e8<!#<7$$"1JiYAo"4v#!#:$!2W&*=()*3T'G#!#<7$$"1e\XN#>ls#!#:$!2'4j!e!4Mj?!#<7%7$$"1wF"zLfaY#!#:$!2^)*)z'3<o-"!#<7$$"1Cs3e&)p(z#!#:$!2\,,Kq)\*\"!#<7$$"2(4)=1XYZt#!#;$!29x.h5]<H"!#<7%7$$"1o(of^`8T#!#:$!1t]8&RsI/%!#<7$$"2BBJ+Q/=&G!#;$!1F\'[QVK['!#<7$$"2:\b_7'=MF!#;$!1h;6dZ7S\!#<7%7$$"2kI<N:isR#!#;$"1%\:n()\Bi"!#<7$$"2Op#[Ud*e'G!#;$"11XGVk<)e#!#<7$$"2kD@QyY*3F!#;$"2dOU<)\f-J!#=7%7$$"1)p))=O='HC!#:$"1$y[*=WjTx!#<7$$"1-86M&RN$G!#:$"2<70,St07"!#<7$$"2WwmsXmZn#!#;$"2*e&RMl=;3"!#<7%7$$"2&[BmA%RTY#!#;$"1(Q#GECq\9!#;7$$"2:lPLZ=!*z#!#;$"18wrD'=(=>!#;7$$"1p>i!o]6l#!#:$"1Nzw`e()G=!#;7%7$$"2L+UG'R"z[#!#;$"2'[?%HJTu:#!#<7$$"1(*z:LRCvF!#:$"1_z0^Rm%o#!#;7$$"220/HsGsj#!#;$"10q`#Qx!oD!#;7%7$$"2$*=\#=&*y-D!#;$"2Y?\p%RizG!#<7$$"163vx$o.w#!#:$"1&z]q_lhV$!#;7$$"2:-S.#=:HE!#;$"2E%ez#)G40L!#<7%7$$"2CK%\'>99^#!#;$"1f/<pV+4O!#;7$$"2xn0&*pV<v#!#;$"28aH[Jp/=%!#<7$$"2OW?'HUlCE!#;$"2aN7Kpa;/%!#<7%7$$"1;GTDrP:D!#:$"1[A=Y;lUV!#;7$$"1%=(eq2yZF!#:$"2Ev<)\i]?\!#<7$$"2den)z$HEi#!#;$"1$=\dB#GyZ!#;7%7$$"28?5a7x`^#!#;$"14V=^P\z]!#;7$$"2()z*eq2yZF!#;$"1"p:[N[tl&!#;7$$"2N"*o)z$HEi#!#;$"1T$\2MC^^&!#;7%7$$"2CK%\'>99^#!#;$"0Yq^oI&>e!#:7$$"2xn0&*pV<v#!#;$"1T&H3j&*4R'!#;7$$"2OW?'HUlCE!#;$"1bB@45=_i!#;7%7$$"2DsL#=&*y-D!#;$"1OK'RZMQc'!#;7$$"2vFmxPo.w#!#;$"1kn.agP?r!#;7$$"1.#[.#=:HE!#:$"12hz4MI*)p!#;7%7$$"2%yk"G'R"z[#!#;$"18$p*\gL:t!#;7$$"2<_$=LRCvF!#;$"1'oI!)oeD%y!#;7$$"2lG=HsGsj#!#;$"1Kf`>@(fs(!#;7%7$$"2a(4#GURTY#!#;$"1(Rg+P"G"3)!#;7$$"2Y-zJZ=!*z#!#;$"1.'R*pvH]&)!#;7$$"19T_!o]6l#!#:$"1%)Qz(za/Y)!#;7%7$$"1;m$=O='HC!#:$"12R,,mUz))!#;7$$"1%QjT`RN$G!#:$"1%4')*el$eA*!#;7$$"1LrIdkwuE!#:$"11TT7=)o=*!#;7%7$$"13(4O:isR#!#:$"0z#z]B=T(*!#:7$$"1#H!RUd*e'G!#:$"16s?4]wP)*!#;7$$"1D/j$yY*3F!#:$"0RkC'o?*))*!#:7%7$$"1a#Gg^`8T#!#:$"2WppRVK[1"!#;7$$"1Y<(*zV!=&G!#:$"2dIISsI//"!#;7$$"1T7FDh=MF!#:$"1y!>.">'e0"!#:7%7$$"2<J%GQ$faY#!#;$"1'Gr3()\*\6!#:7$$"2$)o:xb)p(z#!#;$"19(G"4<o-6!#:7$$"27'Qd]kuMF!#;$"1Ny&)olXB6!#:7%7$$"2#pP`t5C7D!#;$"2a*=()*3T'G7!#;7$$"1JiYAo"4v#!#:$"2Y5G,"*e8<"!#;7$$"1e\XN#>ls#!#:$"2"p$>%4fm$>"!#;7%7$$"1pP`iobQI!#:$!2f/"G,"*e8<!#<7$$"22Bm9hKsF$!#;$!2W&*=()*3T'G#!#<7$$"2y&\XC]$GD$!#;$!2'4j!e!4Mj?!#<7%7$$"1wF"p7v<*H!#:$!2^)*)z'3<o-"!#<7$$"1Cs3ZV,CL!#:$!2\,,Kq)\*\"!#<7$$"2'4)='RA1hK!#;$!29x.h5]<H"!#<7%7$$"2xwo\Ipw$H!#;$!1t]8&RsI/%!#<7$$"1K7.p,7yL!#:$!1F\'[QVK['!#<7$$"29\bU">]gK!#;$!1h;6dZ7S\!#<7%7$$"2jI<D%zdBH!#;$"1%\:n()\Bi"!#<7$$"2Np#[J:@#R$!#;$"11XGVk<)e#!#<7$$"2jD@Gdi_B$!#;$"2dOU<)\f-J!#=7%7$$"1)p))3:Mf&H!#:$"1$y[*=WjTx!#<7$$"2=I6JKb)fL!#;$"2<70,St07"!#<7$$"2VwmiC#3,K!#;$"2*e&RMl=;3"!#<7%7$$"2%[Bm6_X!*H!#;$"1(Q#GECq\9!#;7$$"29lPBEM`K$!#;$"18wrD'=(=>!#;7$$"2)o>ipkYxJ!#;$"1Nzw`e()G=!#;7%7$$"1.?%=vHU,$!#:$"2'[?%HJTu:#!#<7$$"2m*z:A(f:I$!#;$"1_z0^Rm%o#!#;7$$"210/>^WN;$!#;$"10q`#Qx!oD!#;7%7$$"1*=\sI0"HI!#:$"2Y?\p%RizG!#<7$$"22"3vmTo'G$!#;$"1&z]q_lhV$!#;7$$"29-S$4wYbJ!#;$"2E%ez#)G40L!#<7%7$$"2BK%\&)*Hx.$!#;$"1f/<pV+4O!#;7$$"2vn0&)[f!yK!#;$"28aH[Jp/=%!#<7$$"2NW?'=+(4:$!#;$"2aN7Kpa;/%!#<7%7$$"1;GT9HpTI!#:$"1[A=Y;lUV!#;7$$"1%=(efl4uK!#:$"2Ev<)\i]?\!#<7$$"2cen)o^%*[J!#;$"1$=\dB#GyZ!#;7%7$$"1,-T9HpTI!#:$"14V=^P\z]!#;7$$"2')z*efl4uK!#;$"1"p:[N[tl&!#;7$$"2M"*o)o^%*[J!#;$"1T$\2MC^^&!#;7%7$$"2BK%\&)*Hx.$!#;$"0Yq^oI&>e!#:7$$"2vn0&)[f!yK!#;$"1T&H3j&*4R'!#;7$$"2NW?'=+(4:$!#;$"1bB@45=_i!#;7%7$$"2CsLsI0"HI!#;$"1OK'RZMQc'!#;7$$"2uFmn;%o'G$!#;$"1kn.agP?r!#;7$$"1.#[$4wYbJ!#:$"12hz4MI*)p!#;7%7$$"2#yk"=vHU,$!#;$"18$p*\gL:t!#;7$$"2;_$=A(f:I$!#;$"1'oI!)oeD%y!#;7$$"2jG=>^WN;$!#;$"1Kf`>@(fs(!#;7%7$$"2`(4#=@b/*H!#;$"1(Rg+P"G"3)!#;7$$"2X-z@EM`K$!#;$"1.'R*pvH]&)!#;7$$"2P6C&pkYxJ!#;$"1%)Qz(za/Y)!#;7%7$$"2dhO3:Mf&H!#;$"12R,,mUz))!#;7$$"1%QjJKb)fL!#:$"1%4')*el$eA*!#;7$$"1LrIYA3,K!#:$"11TT7=)o=*!#;7%7$$"13(4E%zdBH!#:$"0z#z]B=T(*!#:7$$"1#H!RJ:@#R$!#:$"16s?4]wP)*!#;7$$"1D/jsDENK!#:$"0RkC'o?*))*!#:7%7$$"1a#G]Ipw$H!#:$"2WppRVK[1"!#;7$$"1Y<(*o,7yL!#:$"2dIISsI//"!#;7$$"1T7F9>]gK!#:$"1y!>.">'e0"!#:7%7$$"2;J%GF^x"*H!#;$"1'Gr3()\*\6!#:7$$"1)o:nM9SK$!#:$"19(G"4<o-6!#:7$$"1hQdRA1hK!#:$"1Ny&)olXB6!#:7%7$$"1pP`iobQI!#:$"2a*=()*3T'G7!#;7$$"22Bm9hKsF$!#;$"2Y5G,"*e8<"!#;7$$"2y&\XC]$GD$!#;$"2"p$>%4fm$>"!#;7%7$$"2%pP`^E([c$!#;$!2f/"G,"*e8<!#<7$$"1JiY+%[N!Q!#:$!2W&*=()*3T'G#!#<7$$"1e\X83:zP!#:$!2'4j!e!4Mj?!#<7%7$$"2nx7f"44=N!#;$!2^)*)z'3<o-"!#<7$$"2PA(3O,L]Q!#;$!2\,,Kq)\*\"!#<7$$"2&4)='G!yty$!#;$!29x.h5]<H"!#<7%7$$"1o(oR4&)RY$!#:$!1t]8&RsI/%!#<7$$"2CBJ!efV/R!#;$!1F\'[QVK['!#<7$$"2<\bKq<oy$!#;$!1h;6dZ7S\!#<7%7$$"2mI<:t$*)\M!#;$"1%\:n()\Bi"!#<7$$"1%p#[?t_=R!#:$"11XGVk<)e#!#<7$$"2mD@=Oy:w$!#;$"2dOU<)\f-J!#=7%7$$"1)p)))R*\A[$!#:$"1$y[*=WjTx!#<7$$"2DI6@6rh)Q!#;$"2<70,St07"!#<7$$"1lnEN!)RFP!#:$"2*e&RMl=;3"!#<7%7$$"2([Bm+5x;N!#;$"1(Q#GECq\9!#;7$$"2<lP80];&Q!#;$"18wrD'=(=>!#;7$$"1p>ieAy.P!#:$"1Nzw`e()G=!#;7%7$$"2N+U3aX0a$!#;$"2'[?%HJTu:#!#<7$$"1(*z:6b(y#Q!#:$"1_z0^Rm%o#!#;7$$"200/4Ig)*o$!#;$"10q`#Qx!oD!#;7%7$$"2%*=\i4@ab$!#;$"2Y?\p%RizG!#<7$$"163vb***H"Q!#:$"1&z]q_lhV$!#;7$$"2<-S$)R$y"o$!#;$"2E%ez#)G40L!#<7%7$$"2EK%\ud/kN!#;$"1f/<pV+4O!#;7$$"1yc]x_P/Q!#:$"28aH[Jp/=%!#<7$$"2QW?w!eGxO!#;$"2aN7Kpa;/%!#<7%7$$"2j"GT.(3!oN!#;$"1[A=Y;lUV!#;7$$"1%=(e[BT+Q!#:$"2Ev<)\i]?\!#<7$$"1'eny&4EvO!#:$"1$=\dB#GyZ!#;7%7$$"2:?5Mq3!oN!#;$"14V=^P\z]!#;7$$"1*z*e[BT+Q!#:$"1"p:[N[tl&!#;7$$"2P"*oy&4EvO!#;$"1T$\2MC^^&!#;7%7$$"2EK%\ud/kN!#;$"0Yq^oI&>e!#:7$$"1yc]x_P/Q!#:$"1T&H3j&*4R'!#;7$$"2QW?w!eGxO!#;$"1bB@45=_i!#;7%7$$"2FsLi4@ab$!#;$"1OK'RZMQc'!#;7$$"2xFmd&***H"Q!#;$"1kn.agP?r!#;7$$"1.#[$)R$y"o$!#:$"12hz4MI*)p!#;7%7$$"2&yk"3aX0a$!#;$"18$p*\gL:t!#;7$$"1AN=6b(y#Q!#:$"1'oI!)oeD%y!#;7$$"2nG=4Ig)*o$!#;$"1Kf`>@(fs(!#;7%7$$"2c(4#3+rn^$!#;$"1(Rg+P"G"3)!#;7$$"1D!z60];&Q!#:$"1.'R*pvH]&)!#;7$$"19T_eAy.P!#:$"1%)Qz(za/Y)!#;7%7$$"1;m$)R*\A[$!#:$"12R,,mUz))!#;7$$"2WQj@6rh)Q!#;$"1%4')*el$eA*!#;7$$"1LrIN!)RFP!#:$"11TT7=)o=*!#;7%7$$"2#3(4;t$*)\M!#;$"0z#z]B=T(*!#:7$$"1#H!R?t_=R!#:$"16s?4]wP)*!#;7$$"2_UI;Oy:w$!#;$"0RkC'o?*))*!#:7%7$$"1a#GS4&)RY$!#:$"2WppRVK[1"!#;7$$"2jurz&fV/R!#;$"2dIISsI//"!#;7$$"28CrKq<oy$!#;$"1y!>.">'e0"!#:7%7$$"17VG;44=N!#:$"1'Gr3()\*\6!#:7$$"2&)o:d8I.&Q!#;$"19(G"4<o-6!#:7$$"29'QdG!yty$!#;$"1Ny&)olXB6!#:7%7$$"2%pP`^E([c$!#;$"2a*=()*3T'G7!#;7$$"1JiY+%[N!Q!#:$"2Y5G,"*e8<"!#;7$$"1e\X83:zP!#:$"2"p$>%4fm$>"!#;7%7$$"1pP`T%)="4%!#:$!2f/"G,"*e8<!#<7$$"1JiY!>k)HV!#:$!2W&*=()*3T'G#!#<7$$"1e\X.mY0V!#:$!2'4j!e!4Mj?!#<7%7$$"1xF"fq1W/%!#:$!2^)*)z'3<o-"!#<7$$"1Cs3EfkwV!#:$!2\,,Kq)\*\"!#<7$$"0")='=Qp8V!#9$!29x.h5]<H"!#<7%7$$"1o(oR)3I!*R!#:$!1t]8&RsI/%!#<7$$"1K7.[<vIW!#:$!1F\'[QVK['!#<7$$"1"\bK\LJJ%!#:$!1h;6dZ7S\!#<7%7$$"2mI<:_4i(R!#;$"1%\:n()\Bi"!#<7$$"1%p#[5J%[W%!#:$"11XGVk<)e#!#<7$$"2lD@=:%*yG%!#;$"2dOU<)\f-J!#=7%7$$"1)p)))Hdc3S!#:$"1$y[*=WjTx!#<7$$"2DI6@!p[7W!#;$"2<70,St07"!#<7$$"1lnEDQr`U!#:$"2*e&RMl=;3"!#<7%7$$"1\Bm!z'3VS!#:$"1(Q#GECq\9!#;7$$"1_wLTe'zP%!#:$"18wrD'=(=>!#;7$$"1p>i[!)4IU!#:$"1Nzw`e()G=!#;7%7$$"1.?%3Lho1%!#:$"2'[?%HJTu:#!#<7$$"1(*z:,8>aV!#:$"1_z0^Rm%o#!#;7$$"1^S!44wh@%!#:$"10q`#Qx!oD!#;7%7$$"1*=\i)ot"3%!#:$"2Y?\p%RizG!#<7$$"163vXdJRV!#:$"1&z]q_lhV$!#;7$$"1A+M)=*43U!#:$"2E%ez#)G40L!#<7%7$$"1AV\k:O!4%!#:$"1f/<pV+4O!#;7$$"1yc]n5pIV!#:$"28aH[Jp/=%!#<7$$"1W/i(f,O?%!#:$"2aN7Kpa;/%!#<7%7$$"1;GT$\CV4%!#:$"1[A=Y;lUV!#;7$$"2X=(eQ"GnK%!#;$"2Ev<)\i]?\!#<7$$"1(enyuw:?%!#:$"1$=\dB#GyZ!#;7%7$$"1,-T$\CV4%!#:$"14V=^P\z]!#;7$$"1*z*eQ"GnK%!#:$"1"p:[N[tl&!#;7$$"2Y"*oyuw:?%!#;$"1T$\2MC^^&!#;7%7$$"1AV\k:O!4%!#:$"0Yq^oI&>e!#:7$$"1yc]n5pIV!#:$"1T&H3j&*4R'!#;7$$"1W/i(f,O?%!#:$"1bB@45=_i!#;7%7$$"1APB')ot"3%!#:$"1OK'RZMQc'!#;7$$"1yiwXdJRV!#:$"1kn.agP?r!#;7$$"2N?[$)=*43U!#;$"12hz4MI*)p!#;7%7$$"2&yk"3Lho1%!#;$"18$p*\gL:t!#;7$$"1AN=,8>aV!#:$"1'oI!)oeD%y!#;7$$"1(G=44wh@%!#:$"1Kf`>@(fs(!#;7%7$$"2c(4#3z'3VS!#;$"1(Rg+P"G"3)!#;7$$"1D!z6%e'zP%!#:$"1.'R*pvH]&)!#;7$$"2N6C&[!)4IU!#;$"1%)Qz(za/Y)!#;7%7$$"1;m$)Hdc3S!#:$"12R,,mUz))!#;7$$"1%Qj@!p[7W!#:$"1%4')*el$eA*!#;7$$"1LrIDQr`U!#:$"11TT7=)o=*!#;7%7$$"13(4;_4i(R!#:$"0z#z]B=T(*!#:7$$"1#H!R5J%[W%!#:$"16s?4]wP)*!#;7$$"1D/j^T*yG%!#:$"0RkC'o?*))*!#:7%7$$"1a#GS)3I!*R!#:$"2WppRVK[1"!#;7$$"1Y<(zu^2V%!#:$"2dIISsI//"!#;7$$"1T7F$\LJJ%!#:$"1y!>.">'e0"!#:7%7$$"16VG1nSWS!#:$"1'Gr3()\*\6!#:7$$"1*o:d#fkwV!#:$"19(G"4<o-6!#:7$$"1iQd=Qp8V!#:$"1Ny&)olXB6!#:7%7$$"1pP`T%)="4%!#:$"2a*=()*3T'G7!#;7$$"1JiY!>k)HV!#:$"2Y5G,"*e8<"!#;7$$"1e\X.mY0V!#:$"2"p$>%4fm$>"!#;7%7$$"1pP`JU]<Y!#:$!2f/"G,"*e8<!#<7$$"1JiY!)*zh&[!#:$!2W&*=()*3T'G#!#<7$$"1e\X$R#yJ[!#:$!2'4j!e!4Mj?!#<7%7$$"1xF"f\A2d%!#:$!2^)*)z'3<o-"!#<7$$"1Cs3;<'H!\!#:$!2\,,Kq)\*\"!#<7$$"0")='3'4+%[!#9$!29x.h5]<H"!#<7%7$$"1o(oRn;m^%!#:$!1t]8&RsI/%!#<7$$"1K7.Qv1d\!#:$!1F\'[QVK['!#<7$$"1"\bKG\%R[!#:$!1h;6dZ7S\!#<7%7$$"2lI<:JDD]%!#;$"1%\:n()\Bi"!#<7$$"1%p#[+*e6(\!#:$"11XGVk<)e#!#<7$$"2lD@=%*4U"[!#;$"2dOU<)\f-J!#=7%7$$"1)p)))>:)[`%!#:$"1$y[*=WjTx!#<7$$"1-86#p-)Q\!#:$"2<70,St07"!#<7$$"2Xwm_hH+y%!#;$"2*e&RMl=;3"!#<7%7$$"1\Bm!e-%pX!#:$"1(Q#GECq\9!#;7$$"1_wLJ;G/\!#:$"18wrD'=(=>!#;7$$"2&o>iQQTcZ!#;$"1Nzw`e()G=!#;7%7$$"1.?%37xJf%!#:$"2'[?%HJTu:#!#<7$$"1(*z:"420)[!#:$"1_z0^Rm%o#!#;7$$"1^S!4)=\UZ!#:$"10q`#Qx!oD!#;7%7$$"1*=\in_!3Y!#:$"2Y?\p%RizG!#<7$$"163vN:jl[!#:$"1&z]q_lhV$!#;7$$"1A+My\TMZ!#:$"2E%ez#)G40L!#<7%7$$"1AV\atn;Y!#:$"1f/<pV+4O!#;7$$"1yc]do+d[!#:$"28aH[Jp/=%!#<7$$"1W/i(Q<*HZ!#:$"2aN7Kpa;/%!#<7%7$$"1;GT$GS1i%!#:$"1[A=Y;lUV!#;7$$"2X=(eGR/`[!#;$"2Ev<)\i]?\!#<7$$"1(eny`#*ys%!#:$"1$=\dB#GyZ!#;7%7$$"1,-T$GS1i%!#:$"14V=^P\z]!#;7$$"1*z*eGR/`[!#:$"1"p:[N[tl&!#;7$$"2X"*oy`#*ys%!#;$"1T$\2MC^^&!#;7%7$$"1AV\atn;Y!#:$"0Yq^oI&>e!#:7$$"1yc]do+d[!#:$"1T&H3j&*4R'!#;7$$"1W/i(Q<*HZ!#:$"1bB@45=_i!#;7%7$$"1APBwE03Y!#:$"1OK'RZMQc'!#;7$$"1yiwN:jl[!#:$"1kn.agP?r!#;7$$"2N?[$y\TMZ!#;$"12hz4MI*)p!#;7%7$$"1yk"37xJf%!#:$"18$p*\gL:t!#;7$$"1AN="420)[!#:$"1'oI!)oeD%y!#;7$$"1(G=4)=\UZ!#:$"1Kf`>@(fs(!#;7%7$$"2b(4#3e-%pX!#;$"1(Rg+P"G"3)!#;7$$"1D!z6j"G/\!#:$"1.'R*pvH]&)!#;7$$"2N6C&QQTcZ!#;$"1%)Qz(za/Y)!#;7%7$$"1;m$)>:)[`%!#:$"12R,,mUz))!#;7$$"1%Qj@p-)Q\!#:$"1%4')*el$eA*!#;7$$"1LrI:'H+y%!#:$"11TT7=)o=*!#;7%7$$"13(4;JDD]%!#:$"0z#z]B=T(*!#:7$$"1#H!R+*e6(\!#:$"16s?4]wP)*!#;7$$"1D/jT*4U"[!#:$"0RkC'o?*))*!#:7%7$$"2XDGSn;m^%!#;$"2WppRVK[1"!#;7$$"1Y<(z`nq&\!#:$"2dIISsI//"!#;7$$"1T7F$G\%R[!#:$"1y!>.">'e0"!#:7%7$$"16VG'\A2d%!#:$"1'Gr3()\*\6!#:7$$"1*o:drhH!\!#:$"19(G"4<o-6!#:7$$"1iQd3'4+%[!#:$"1Ny&)olXB6!#:7%7$$"1pP`JU]<Y!#:$"2a*=()*3T'G7!#;7$$"1JiY!)*zh&[!#:$"2Y5G,"*e8<"!#;7$$"1e\X$R#yJ[!#:$"2"p$>%4fm$>"!#;7%7$$"1pP`?+#Q9&!#:$!2f/"G,"*e8<!#<7$$"1JiYpd\#Q&!#:$!2W&*=()*3T'G#!#<7$$"1e\X#=)4e`!#:$!2'4j!e!4Mj?!#<7%7$$"1wF"\GQq4&!#:$!2^)*)z'3<o-"!#<7$$"2NA(30vFHa!#;$!2\,,Kq)\*\"!#<7$$"0")=wRDjO&!#9$!29x.h5]<H"!#<7%7$$"1o(oHYKH/&!#:$!1t]8&RsI/%!#<7$$"1K7.FLQ$[&!#:$!1F\'[QVK['!#<7$$"1"\bA2ldO&!#:$!1h;6dZ7S\!#<7%7$$"11t^+6%)G]!#:$"1%\:n()\Bi"!#<7$$"1%p#[*ouu\&!#:$"11XGVk<)e#!#<7$$"1c7#3tD0M&!#:$"2dOU<)\f-J!#=7%7$$"1)p)))3t>h]!#:$"1$y[*=WjTx!#<7$$"1-86"[=^Y&!#:$"2<70,St07"!#<7$$"1knE/aM1`!#:$"2*e&RMl=;3"!#<7%7$$"2&[Bmp$=d4&!#;$"1(Q#GECq\9!#;7$$"2:lP.U(fIa!#;$"18wrD'=(=>!#;7$$"1o>iF'HFG&!#:$"1Nzw`e()G=!#;7%7$$"1.?%)4H\>^!#:$"2'[?%HJTu:#!#<7$$"1(*z:!)G#oS&!#:$"1_z0^Rm%o#!#;7$$"1^S!*pw!)o_!#:$"10q`#Qx!oD!#;7%7$$"1*=\_YoV8&!#:$"2Y?\p%RizG!#<7$$"163vCt%>R&!#:$"1&z]q_lhV$!#;7$$"1@+Mn2tg_!#:$"2E%ez#)G40L!#<7%7$$"1AV\VJ*H9&!#:$"1f/<pV+4O!#;7$$"1yc]YEK$Q&!#:$"28aH[Jp/=%!#<7$$"2NW?m<LiD&!#;$"2aN7Kpa;/%!#<7%7$$"1;GTsg&p9&!#:$"1[A=Y;lUV!#;7$$"1%=(e<(f$z`!#:$"2Ev<)\i]?\!#<7$$"2lenoK3UD&!#;$"1$=\dB#GyZ!#;7%7$$"1,-Tsg&p9&!#:$"14V=^P\z]!#;7$$"1*z*e<(f$z`!#:$"1"p:[N[tl&!#;7$$"19*ooK3UD&!#:$"1T$\2MC^^&!#;7%7$$"1AV\VJ*H9&!#:$"0Yq^oI&>e!#:7$$"1yc]YEK$Q&!#:$"1T&H3j&*4R'!#;7$$"2NW?m<LiD&!#;$"1bB@45=_i!#;7%7$$"1APBl%oV8&!#:$"1OK'RZMQc'!#;7$$"1yiwCt%>R&!#:$"1kn.agP?r!#;7$$"1.#[twI2E&!#:$"12hz4MI*)p!#;7%7$$"1yk")4H\>^!#:$"18$p*\gL:t!#;7$$"1AN=!)G#oS&!#:$"1'oI!)oeD%y!#;7$$"1(G=*pw!)o_!#:$"1Kf`>@(fs(!#;7%7$$"1v4#)p$=d4&!#:$"1(Rg+P"G"3)!#;7$$"1D!z,U(fIa!#:$"1.'R*pvH]&)!#;7$$"18T_F'HFG&!#:$"1%)Qz(za/Y)!#;7%7$$"1;m$)3t>h]!#:$"12R,,mUz))!#;7$$"1%Qj6[=^Y&!#:$"1%4')*el$eA*!#;7$$"1LrI/aM1`!#:$"11TT7=)o=*!#;7%7$$"13(415T)G]!#:$"0z#z]B=T(*!#:7$$"1#H!R*ouu\&!#:$"16s?4]wP)*!#;7$$"1D/jId_S`!#:$"0RkC'o?*))*!#:7%7$$"1a#GIYKH/&!#:$"2WppRVK[1"!#;7$$"1Y<(pK$Q$[&!#:$"2dIISsI//"!#;7$$"1T7Fs]wl`!#:$"1y!>.">'e0"!#:7%7$$"16VG&GQq4&!#:$"1'Gr3()\*\6!#:7$$"1*o:Z]x#Ha!#:$"19(G"4<o-6!#:7$$"1iQd(RDjO&!#:$"1Ny&)olXB6!#:7%7$$"1pP`?+#Q9&!#:$"2a*=()*3T'G7!#;7$$"1JiYpd\#Q&!#:$"2Y5G,"*e8<"!#;7$$"1e\X#=)4e`!#:$"2"p$>%4fm$>"!#;7%7$$"1pP`4e8qc!#:$!2f/"G,"*e8<!#<7$$"1JiYe:")3f!#:$!2W&*=()*3T'G#!#<7$$"1e\XrRT%)e!#:$!2'4j!e!4Mj?!#<7%7$$"1wF"R2aLi&!#:$!2^)*)z'3<o-"!#<7$$"1Bs3%H$fbf!#:$!2\,,Kq)\*\"!#<7$$"2&4)=m=TE*e!#;$!29x.h5]<H"!#<7%7$$"1o(o>D[#pb!#:$!1t]8&RsI/%!#<7$$"1K7.;"*p4g!#:$!1F\'[QVK['!#<7$$"1"\b7'33#*e!#:$!1h;6dZ7S\!#<7%7$$"11t^*)o:bb!#:$"1%\:n()\Bi"!#<7$$"2Mp#[y/zBg!#;$"11XGVk<)e#!#<7$$"1c7#)>:%o'e!#:$"2dOU<)\f-J!#=7%7$$"2vp))y48ve&!#;$"1$y[*=WjTx!#<7$$"1-86qUV"*f!#:$"2<70,St07"!#<7$$"1knE$>hE$e!#:$"2*e&RMl=;3"!#<7%7$$"1[BmeT.Ac!#:$"1(Q#GECq\9!#;7$$"1^wL4K"p&f!#:$"18wrD'=(=>!#;7$$"1o>i;a/4e!#:$"1Nzw`e()G=!#;7%7$$"1.?%))p3ek&!#:$"2'[?%HJTu:#!#<7$$"1(*z:p'QJ$f!#:$"1_z0^Rm%o#!#;7$$"1^S!*eM7&z&!#:$"10q`#Qx!oD!#;7%7$$"1*=\UD%ogc!#:$"2Y?\p%RizG!#<7$$"163v8JE=f!#:$"1&z]q_lhV$!#;7$$"1@+Mcl/(y&!#:$"2E%ez#)G40L!#<7%7$$"1AV\K*3$pc!#:$"1f/<pV+4O!#;7$$"1yc]N%Q'4f!#:$"28aH[Jp/=%!#<7$$"1V/il*[Dy&!#:$"2aN7Kpa;/%!#<7%7$$"2b"GTh=Ftc!#;$"1[A=Y;lUV!#;7$$"1%=(e1bn0f!#:$"2Ev<)\i]?\!#<7$$"1'ene6C0y&!#:$"1$=\dB#GyZ!#;7%7$$"1,-Th=Ftc!#:$"14V=^P\z]!#;7$$"1*z*e1bn0f!#:$"1"p:[N[tl&!#;7$$"19*oe6C0y&!#:$"1T$\2MC^^&!#;7%7$$"1AV\K*3$pc!#:$"0Yq^oI&>e!#:7$$"1yc]N%Q'4f!#:$"1T&H3j&*4R'!#;7$$"1V/il*[Dy&!#:$"1bB@45=_i!#;7%7$$"1APBaUogc!#:$"1OK'RZMQc'!#;7$$"1yiw8JE=f!#:$"1kn.agP?r!#;7$$"1.#[jbYqy&!#:$"12hz4MI*)p!#;7%7$$"1yk"))p3ek&!#:$"18$p*\gL:t!#;7$$"2:_$=p'QJ$f!#;$"1'oI!)oeD%y!#;7$$"1(G=*eM7&z&!#:$"1Kf`>@(fs(!#;7%7$$"1v4#)eT.Ac!#:$"1(Rg+P"G"3)!#;7$$"2W-z"4K"p&f!#;$"1.'R*pvH]&)!#;7$$"18T_;a/4e!#:$"1%)Qz(za/Y)!#;7%7$$"1;m$y48ve&!#:$"12R,,mUz))!#;7$$"1%Qj,FM9*f!#:$"1%4')*el$eA*!#;7$$"1LrI$>hE$e!#:$"11TT7=)o=*!#;7%7$$"13(4'*)o:bb!#:$"0z#z]B=T(*!#:7$$"1#H!Ry/zBg!#:$"16s?4]wP)*!#;7$$"1D/j>:%o'e!#:$"0RkC'o?*))*!#:7%7$$"1a#G?D[#pb!#:$"2WppRVK[1"!#;7$$"1X<(f6*p4g!#:$"2dIISsI//"!#;7$$"1T7Fh33#*e!#:$"1y!>.">'e0"!#:7%7$$"16VGuSNBc!#:$"1'Gr3()\*\6!#:7$$"1*o:PH$fbf!#:$"19(G"4<o-6!#:7$$"2:'Qd'=TE*e!#;$"1Ny&)olXB6!#:7%7$$"1pP`4e8qc!#:$"2a*=()*3T'G7!#;7$$"1JiYe:")3f!#:$"2Y5G,"*e8<"!#;7$$"1e\XrRT%)e!#:$"2"p$>%4fm$>"!#;7%7$$"1pP`*f^k>'!#:$!2f/"G,"*e8<!#<7$$"1JiY[t7Nk!#:$!2W&*=()*3T'G#!#<7$$"1e\Xh(H2T'!#:$!2'4j!e!4Mj?!#<7%7$$"1wF"R')p'\h!#:$!2^)*)z'3<o-"!#<7$$"1Bs3%34>['!#:$!2\,,Kq)\*\"!#<7$$"2&4)=m(p&*=k!#;$!29x.h5]<H"!#<7%7$$"2wwo>/kb4'!#;$!1t]8&RsI/%!#<7$$"1K7.1\,Ol!#:$!1F\'[QVK['!#<7$$"1"\b7l'R=k!#:$!1h;6dZ7S\!#<7%7$$"11t^zEZ"3'!#:$"1%\:n()\Bi"!#<7$$"1$p#[oi5]l!#:$"11XGVk<)e#!#<7$$"1c7#)4t:$R'!#:$"2dOU<)\f-J!#=7%7$$"2vp))y))GQ6'!#;$"1$y[*=WjTx!#<7$$"1-86g+v<l!#:$"2<70,St07"!#<7$$"1knE$)p(*ej!#:$"2*e&RMl=;3"!#<7%7$$"1[Bm[*\$[h!#:$"1(Q#GECq\9!#;7$$"1^wL***GK['!#:$"18wrD'=(=>!#;7$$"1o>i17ONj!#:$"1Nzw`e()G=!#;7%7$$"1.?%))[C@<'!#:$"2'[?%HJTu:#!#<7$$"1(*z:fWXfk!#:$"1_z0^Rm%o#!#;7$$"1^S!*[#R9K'!#:$"10q`#Qx!oD!#;7%7$$"1*=\U/+q='!#:$"2Y?\p%RizG!#<7$$"163v.*yXW'!#:$"1&z]q_lhV$!#;7$$"1@+MYBO8j!#:$"2E%ez#)G40L!#<7%7$$"1AV\AZi&>'!#:$"1f/<pV+4O!#;7$$"1yc]DU&fV'!#:$"28aH[Jp/=%!#<7$$"1V/ibZ')3j!#:$"2aN7Kpa;/%!#<7%7$$"1:GT^we*>'!#:$"1[A=Y;lUV!#;7$$"1%=(e'H"*>V'!#:$"2Ev<)\i]?\!#<7$$"1'ene!*RoI'!#:$"1$=\dB#GyZ!#;7%7$$"1,-T^we*>'!#:$"14V=^P\z]!#;7$$"1*z*e'H"*>V'!#:$"1"p:[N[tl&!#;7$$"19*oe!*RoI'!#:$"1T$\2MC^^&!#;7%7$$"1AV\AZi&>'!#:$"0Yq^oI&>e!#:7$$"1yc]DU&fV'!#:$"1T&H3j&*4R'!#;7$$"1V/ibZ')3j!#:$"1bB@45=_i!#;7%7$$"1APBW++(='!#:$"1OK'RZMQc'!#;7$$"1yiw.*yXW'!#:$"1kn.agP?r!#;7$$"1.#[jMiLJ'!#:$"12hz4MI*)p!#;7%7$$"1yk"))[C@<'!#:$"18$p*\gL:t!#;7$$"2:_$=fWXfk!#;$"1'oI!)oeD%y!#;7$$"1(G=*[#R9K'!#:$"1Kf`>@(fs(!#;7%7$$"1v4#)[*\$[h!#:$"1(Rg+P"G"3)!#;7$$"1C!z"***GK['!#:$"1.'R*pvH]&)!#;7$$"18T_17ONj!#:$"1%)Qz(za/Y)!#;7%7$$"1;m$y))GQ6'!#:$"12R,,mUz))!#;7$$"1%Qj,1]x^'!#:$"1%4')*el$eA*!#;7$$"1LrI$)p(*ej!#:$"11TT7=)o=*!#;7%7$$"13(4'zEZ"3'!#:$"0z#z]B=T(*!#:7$$"1#H!Roi5]l!#:$"16s?4]wP)*!#;7$$"1D/j4t:$R'!#:$"0RkC'o?*))*!#:7%7$$"1a#G?/kb4'!#:$"2WppRVK[1"!#;7$$"1X<(f!\,Ol!#:$"2dIISsI//"!#;7$$"1T7F^mR=k!#:$"1y!>.">'e0"!#:7%7$$"16VGk)p'\h!#:$"1'Gr3()\*\6!#:7$$"2&)o:P34>['!#;$"19(G"4<o-6!#:7$$"1hQdwp&*=k!#:$"1Ny&)olXB6!#:7%7$$"1pP`*f^k>'!#:$"2a*=()*3T'G7!#;7$$"1JiY[t7Nk!#:$"2Y5G,"*e8<"!#;7$$"1e\Xh(H2T'!#:$"2"p$>%4fm$>"!#;7%7$$"1pP`*QnFs'!#:$!2f/"G,"*e8<!#<7$$"20Bm%QJWhp!#;$!2W&*=()*3T'G#!#<7$$"1e\X^b/Pp!#:$!2'4j!e!4Mj?!#<7%7$$"1wF"Rl&)fn'!#:$!2^)*)z'3<o-"!#<7$$"1Bs3u[A3q!#:$!2\,,Kq)\*\"!#<7$$"14)=mws_%p!#:$!29x.h5]<H"!#<7%7$$"2vwo>$)z=i'!#;$!1t]8&RsI/%!#<7$$"1K7.'pIB1(!#:$!1F\'[QVK['!#<7$$"1"\b7W7Z%p!#:$!1h;6dZ7S\!#<7%7$$"11t^p%)y2m!#:$"1%\:n()\Bi"!#<7$$"1$p#[e?Uwq!#:$"11XGVk<)e#!#<7$$"1c7#)*4t%>p!#:$"2dOU<)\f-J!#=7%7$$"2up))ynW,k'!#;$"1$y[*=WjTx!#<7$$"1-86]e1Wq!#:$"2<70,St07"!#<7$$"1knEtFH&)o!#:$"2*e&RMl=;3"!#<7%7$$"1[BmQdmum!#:$"1(Q#GECq\9!#;7$$"1^wL*yW&4q!#:$"18wrD'=(=>!#;7$$"1o>i'*pnho!#:$"1Nzw`e()G=!#;7%7$$"2D+U)y-W)p'!#;$"2'[?%HJTu:#!#<7$$"1(*z:\-x&)p!#:$"1_z0^Rm%o#!#;7$$"1^S!*Q]vZo!#:$"10q`#Qx!oD!#;7%7$$"2&)=\U$eJ8n!#;$"2Y?\p%RizG!#<7$$"163v$p%*3(p!#:$"1&z]q_lhV$!#;7$$"1@+MO"y'Ro!#:$"2E%ez#)G40L!#<7%7$$"1AV\70%>s'!#:$"1f/<pV+4O!#;7$$"1yc]:+Fip!#:$"28aH[Jp/=%!#<7$$"1V/iX0=No!#:$"2aN7Kpa;/%!#<7%7$$"1:GTTM!fs'!#:$"1[A=Y;lUV!#;7$$"1%=(e'32$ep!#:$"2Ev<)\i]?\!#<7$$"1'enepbJ$o!#:$"1$=\dB#GyZ!#;7%7$$"1,-TTM!fs'!#:$"14V=^P\z]!#;7$$"1*z*e'32$ep!#:$"1"p:[N[tl&!#;7$$"19*oepbJ$o!#:$"1T$\2MC^^&!#;7%7$$"1AV\70%>s'!#:$"0Yq^oI&>e!#:7$$"1yc]:+Fip!#:$"1T&H3j&*4R'!#;7$$"1V/iX0=No!#:$"1bB@45=_i!#;7%7$$"1APBMeJ8n!#:$"1OK'RZMQc'!#;7$$"1yiw$p%*3(p!#:$"1kn.agP?r!#;7$$"1.#[j8y'Ro!#:$"12hz4MI*)p!#;7%7$$"1yk")y-W)p'!#:$"18$p*\gL:t!#;7$$"1@N=\-x&)p!#:$"1'oI!)oeD%y!#;7$$"1(G=*Q]vZo!#:$"1Kf`>@(fs(!#;7%7$$"1v4#)Qdmum!#:$"1(Rg+P"G"3)!#;7$$"1C!z"*yW&4q!#:$"1.'R*pvH]&)!#;7$$"18T_'*pnho!#:$"1%)Qz(za/Y)!#;7%7$$"2bhOynW,k'!#;$"12R,,mUz))!#;7$$"1%Qj,&e1Wq!#:$"1%4')*el$eA*!#;7$$"1LrItFH&)o!#:$"11TT7=)o=*!#;7%7$$"13(4'p%)y2m!#:$"0z#z]B=T(*!#:7$$"1#H!Re?Uwq!#:$"16s?4]wP)*!#;7$$"1D/j*4t%>p!#:$"0RkC'o?*))*!#:7%7$$"1a#G?$)z=i'!#:$"2WppRVK[1"!#;7$$"1X<(fpIB1(!#:$"2dIISsI//"!#;7$$"1T7FTCrWp!#:$"1y!>.">'e0"!#:7%7$$"16VGac)fn'!#:$"1'Gr3()\*\6!#:7$$"2&)o:P([A3q!#;$"19(G"4<o-6!#:7$$"1hQdmFFXp!#:$"1Ny&)olXB6!#:7%7$$"1pP`*QnFs'!#:$"2a*=()*3T'G7!#;7$$"20Bm%QJWhp!#;$"2Y5G,"*e8<"!#;7$$"1e\X^b/Pp!#:$"2"p$>%4fm$>"!#;7%7$$"1pP`yJ3\s!#:$!2f/"G,"*e8<!#<7$$"0Bmu#*ex[(!#9$!2W&*=()*3T'G#!#<7$$"2v&\XS8Oju!#;$!2'4j!e!4Mj?!#<7%7$$"1wF"HW,B?(!#:$!2^)*)z'3<o-"!#<7$$"1Bs3j1aMv!#:$!2\,,Kq)\*\"!#<7$$"14)=cb)eru!#:$!29x.h5]<H"!#<7%7$$"1n(o4i&>[r!#:$!1t]8&RsI/%!#<7$$"1K7.&[Y')e(!#:$!1F\'[QVK['!#<7$$"1"\b-BG5Z(!#:$!1h;6dZ7S\!#<7%7$$"11t^eU5Mr!#:$"1%\:n()\Bi"!#<7$$"1$p#[Zyt-w!#:$"11XGVk<)e#!#<7$$"1c7#)))))yXu!#:$"2dOU<)\f-J!#=7%7$$"1(p))oYgk;(!#:$"1$y[*=WjTx!#<7$$"1-86R;Qqv!#:$"2<70,St07"!#<7$$"1knEi&3;T(!#:$"2*e&RMl=;3"!#<7%7$$"1[BmF:)4?(!#:$"1(Q#GECq\9!#;7$$"1^wLy0'e`(!#:$"18wrD'=(=>!#;7$$"1o>i&y#*zQ(!#:$"1Nzw`e()G=!#;7%7$$"1-?%y1cZA(!#:$"2'[?%HJTu:#!#<7$$"1(*z:Qg37v!#:$"1_z0^Rm%o#!#;7$$"1^S!z#32ut!#:$"10q`#Qx!oD!#;7%7$$"1)=\KiJ'Rs!#:$"2Y?\p%RizG!#<7$$"163v#[5s\(!#:$"1&z]q_lhV$!#;7$$"1@+MDR*fO(!#:$"2E%ez#)G40L!#<7%7$$"2:K%\,jD[s!#;$"1f/<pV+4O!#;7$$"1yc]/ee)[(!#:$"28aH[Jp/=%!#<7$$"1V/iMj\ht!#:$"2aN7Kpa;/%!#<7%7$$"1:GTI#>AD(!#:$"1[A=Y;lUV!#;7$$"1%=(evGi%[(!#:$"2Ev<)\i]?\!#<7$$"1'en[[r%ft!#:$"1$=\dB#GyZ!#;7%7$$"2/?5/B>AD(!#;$"14V=^P\z]!#;7$$"1*z*evGi%[(!#:$"1"p:[N[tl&!#;7$$"19*o[[r%ft!#:$"1T$\2MC^^&!#;7%7$$"2:K%\,jD[s!#;$"0Yq^oI&>e!#:7$$"1yc]/ee)[(!#:$"1T&H3j&*4R'!#;7$$"1V/iMj\ht!#:$"1bB@45=_i!#;7%7$$"1APBB;jRs!#:$"1OK'RZMQc'!#;7$$"2wFmF[5s\(!#;$"1kn.agP?r!#;7$$"1.#[`#R*fO(!#:$"12hz4MI*)p!#;7%7$$"1yk"y1cZA(!#:$"18$p*\gL:t!#;7$$"1@N=Qg37v!#:$"1'oI!)oeD%y!#;7$$"2lG=z#32ut!#;$"1Kf`>@(fs(!#;7%7$$"1v4#y_")4?(!#:$"1(Rg+P"G"3)!#;7$$"1C!z"y0'e`(!#:$"1.'R*pvH]&)!#;7$$"18T_&y#*zQ(!#:$"1%)Qz(za/Y)!#;7%7$$"1:m$oYgk;(!#:$"12R,,mUz))!#;7$$"1%Qj"R;Qqv!#:$"1%4')*el$eA*!#;7$$"1LrIi&3;T(!#:$"11TT7=)o=*!#;7%7$$"13(4'eU5Mr!#:$"0z#z]B=T(*!#:7$$"1#H!RZyt-w!#:$"16s?4]wP)*!#;7$$"1D/j))))yXu!#:$"0RkC'o?*))*!#:7%7$$"1a#G5i&>[r!#:$"2WppRVK[1"!#;7$$"1X<(\[Y')e(!#:$"2dIISsI//"!#;7$$"1T7FI#G5Z(!#:$"1y!>.">'e0"!#:7%7$$"16VGV9I-s!#:$"1'Gr3()\*\6!#:7$$"1)o:FmSX`(!#:$"19(G"4<o-6!#:7$$"1hQdb&)eru!#:$"1Ny&)olXB6!#:7%7$$"1pP`yJ3\s!#:$"2a*=()*3T'G7!#;7$$"0Bmu#*ex[(!#9$"2Y5G,"*e8<"!#;7$$"2v&\XS8Oju!#;$"2"p$>%4fm$>"!#;7%7$$"0xLv'*)Rvx!#9$!2f/"G,"*e8<!#<7$$"1JiY;Z29!)!#:$!2W&*=()*3T'G#!#<7$$"1e\XHrn*)z!#:$!2'4j!e!4Mj?!#<7%7$$"1xF">B<'Gx!#:$!2^)*)z'3<o-"!#<7$$"1Cs3_k&31)!#:$!2\,,Kq)\*\"!#<7$$"0")=YM/z*z!#9$!29x.h5]<H"!#<7%7$$"1o(o*49^uw!#:$!1t]8&RsI/%!#<7$$"1L7.uA'\6)!#:$!1F\'[QVK['!#<7$$"1#\b#>SM(*z!#:$!1h;6dZ7S\!#<7%7$$"12t^Z+Ugw!#:$"1%\:n()\Bi"!#<7$$"1&p#[OO0H")!#:$"11XGVk<)e#!#<7$$"1e7#yn/@(z!#:$"2dOU<)\f-J!#=7%7$$"1)p))eDwFp(!#:$"1$y[*=WjTx!#<7$$"1-86Gup'4)!#:$"2<70,St07"!#<7$$"1knE^V#z$z!#:$"2*e&RMl=;3"!#<7%7$$"1\Bm;tHFx!#:$"1(Q#GECq\9!#;7$$"1`wLnj<i!)!#:$"18wrD'=(=>!#;7$$"0(>iu&3V"z!#9$"1Nzw`e()G=!#;7%7$$"1.?%o&=2^x!#:$"2'[?%HJTu:#!#<7$$"1)*z:F=SQ!)!#:$"1_z0^Rm%o#!#;7$$"2:0/ph'Q+z!#;$"10q`#Qx!oD!#;7%7$$"1*=\ATZfw(!#:$"2Y?\p%RizG!#<7$$"0"3vri_B!)!#9$"1&z]q_lhV$!#;7$$"1@+M9(4B*y!#:$"2E%ez#)G40L!#<7%7$$"1AV\!4sXx(!#:$"1f/<pV+4O!#;7$$"1yc]$f,\,)!#:$"28aH[Jp/=%!#<7$$"1W/iB@"y)y!#:$"2aN7Kpa;/%!#<7%7$$"1;GT>]`yx!#:$"1[A=Y;lUV!#;7$$"1&=(ek'Q4,)!#:$"2Ev<)\i]?\!#<7$$"1(enQF(y&)y!#:$"1$=\dB#GyZ!#;7%7$$"1,-T>]`yx!#:$"14V=^P\z]!#;7$$"/)*ek'Q4,)!#8$"1"p:[N[tl&!#;7$$"1:*oQF(y&)y!#:$"1T$\2MC^^&!#;7%7$$"1AV\!4sXx(!#:$"0Yq^oI&>e!#:7$$"1yc]$f,\,)!#:$"1T&H3j&*4R'!#;7$$"1W/iB@"y)y!#:$"1bB@45=_i!#;7%7$$"1APB7u%fw(!#:$"1OK'RZMQc'!#;7$$"1xiwri_B!)!#:$"1kn.agP?r!#;7$$"1.#[Vr4B*y!#:$"12hz4MI*)p!#;7%7$$"1zk"o&=2^x!#:$"18$p*\gL:t!#;7$$"1AN=F=SQ!)!#:$"1'oI!)oeD%y!#;7$$"1(G=ph'Q+z!#:$"1Kf`>@(fs(!#;7%7$$"1w4#oJ(HFx!#:$"1(Rg+P"G"3)!#;7$$"1E!zrOw@1)!#:$"1.'R*pvH]&)!#;7$$"1:T_u&3V"z!#:$"1%)Qz(za/Y)!#;7%7$$"1;m$eDwFp(!#:$"12R,,mUz))!#;7$$"1&Qj"Gup'4)!#:$"1%4')*el$eA*!#;7$$"1LrI^V#z$z!#:$"11TT7=)o=*!#;7%7$$"13(4w/?/m(!#:$"0z#z]B=T(*!#:7$$"1#H!ROO0H")!#:$"16s?4]wP)*!#;7$$"1D/jxY5sz!#:$"0RkC'o?*))*!#:7%7$$"1a#G+T6Xn(!#:$"2WppRVK[1"!#;7$$"1Z<(RFi\6)!#:$"2dIISsI//"!#;7$$"1U7F>SM(*z!#:$"1y!>.">'e0"!#:7%7$$"17VGKshGx!#:$"1'Gr3()\*\6!#:7$$"1)o:<Xc31)!#:$"19(G"4<o-6!#:7$$"1hQdWV!z*z!#:$"1Ny&)olXB6!#:7%7$$"0xLv'*)Rvx!#9$"2a*=()*3T'G7!#;7$$"1JiY;Z29!)!#:$"2Y5G,"*e8<"!#;7$$"1e\XHrn*)z!#:$"2"p$>%4fm$>"!#;7%7$$"0xLvv9<I)!#9$!2f/"G,"*e8<!#<7$$"1JiY10RS&)!#:$!2W&*=()*3T'G#!#<7$$"1d\X>H*f^)!#:$!2'4j!e!4Mj?!#<7%7$$"1xF">-L\D)!#:$!2^)*)z'3<o-"!#<7$$"1Cs3UA<(e)!#:$!2\,,Kq)\*\"!#<7$$"0")=Y8?U_)!#9$!29x.h5]<H"!#<7%7$$"1n(o**>F3?)!#:$!1t]8&RsI/%!#<7$$"1L7.k!y7k)!#:$!1F\'[QVK['!#<7$$"1$\b#4)fO_)!#:$!1h;6dZ7S\!#<7%7$$"13t^Pet'=)!#:$"1%\:n()\Bi"!#<7$$"1$p#[E%p`l)!#:$"11XGVk<)e#!#<7$$"1d7#yY?%)\)!#:$"2dOU<)\f-J!#=7%7$$"1*p))e/#4>#)!#:$"1$y[*=WjTx!#<7$$"1-86=K,B')!#:$"2<70,St07"!#<7$$"1knET,Ck%)!#:$"2*e&RMl=;3"!#<7%7$$"1[Bm1Jh`#)!#:$"1(Q#GECq\9!#;7$$"1`wLd@\)e)!#:$"18wrD'=(=>!#;7$$"0(>ikViS%)!#9$"1Nzw`e()G=!#;7%7$$"1.?%ok(Qx#)!#:$"2'[?%HJTu:#!#<7$$"1)*z:<wrk&)!#:$"1_z0^Rm%o#!#;7$$"00/pS-nU)!#9$"10q`#Qx!oD!#;7%7$$"0>\A?jAH)!#9$"2Y?\p%RizG!#<7$$"0"3vh?%)\&)!#9$"1&z]q_lhV$!#;7$$"0-SV]D'=%)!#9$"2E%ez#)G40L!#<7%7$$"1AV\!)y)3I)!#:$"1f/<pV+4O!#;7$$"1yc]$Q<7a)!#:$"28aH[Jp/=%!#<7$$"1W/i8z79%)!#:$"2aN7Kpa;/%!#<7%7$$"1;GT43&[I)!#:$"1[A=Y;lUV!#;7$$"1&=(eaWDP&)!#:$"2Ev<)\i]?\!#<7$$"1(enQ1.@T)!#:$"1$=\dB#GyZ!#;7%7$$"1,-T43&[I)!#:$"14V=^P\z]!#;7$$"/)*eaWDP&)!#8$"1"p:[N[tl&!#;7$$"19*oQ1.@T)!#:$"1T$\2MC^^&!#;7%7$$"1AV\!)y)3I)!#:$"0Yq^oI&>e!#:7$$"1yc]$Q<7a)!#:$"1T&H3j&*4R'!#;7$$"1W/i8z79%)!#:$"1bB@45=_i!#;7%7$$"1BPB-KE#H)!#:$"1OK'RZMQc'!#;7$$"1xiwh?%)\&)!#:$"1kn.agP?r!#;7$$"1.#[V]D'=%)!#:$"12hz4MI*)p!#;7%7$$"1zk"ok(Qx#)!#:$"18$p*\gL:t!#;7$$"1AN=<wrk&)!#:$"1'oI!)oeD%y!#;7$$"1'G=pS-nU)!#:$"1Kf`>@(fs(!#;7%7$$"1v4#o58OD)!#:$"1(Rg+P"G"3)!#;7$$"1E!zr:#\)e)!#:$"1.'R*pvH]&)!#;7$$"1:T_kViS%)!#:$"1%)Qz(za/Y)!#;7%7$$"1;m$e/#4>#)!#:$"12R,,mUz))!#;7$$"1&Qj"=K,B')!#:$"1%4')*el$eA*!#;7$$"1LrIT,Ck%)!#:$"11TT7=)o=*!#;7%7$$"13(4w$et'=)!#:$"0z#z]B=T(*!#:7$$"1#H!RE%p`l)!#:$"16s?4]wP)*!#;7$$"1C/jn/U)\)!#:$"0RkC'o?*))*!#:7%7$$"1a#G+?F3?)!#:$"2WppRVK[1"!#;7$$"1Z<(R1y7k)!#:$"2dIISsI//"!#;7$$"1U7F4)fO_)!#:$"1y!>.">'e0"!#:7%7$$"17VGAI$\D)!#:$"1'Gr3()\*\6!#:7$$"1)o:<Csre)!#:$"19(G"4<o-6!#:7$$"1hQdM,AC&)!#:$"1Ny&)olXB6!#:7%7$$"0xLvv9<I)!#9$"2a*=()*3T'G7!#;7$$"1JiY10RS&)!#:$"2Y5G,"*e8<"!#;7$$"1d\X>H*f^)!#:$"2"p$>%4fm$>"!#;7%7$$"0xLvaI!G))!#9$!2f/"G,"*e8<!#<7$$"1JiY'H1n1*!#:$!2W&*=()*3T'G#!#<7$$"1d\X4(3B/*!#:$!2'4j!e!4Mj?!#<7%7$$"1xF">")[7y)!#:$!2^)*)z'3<o-"!#<7$$"1Cs3K!)[8"*!#:$!2\,,Kq)\*\"!#<7$$"0")=Y#f`]!*!#9$!29x.h5]<H"!#<7%7$$"1n(o**)H9F()!#:$!1t]8&RsI/%!#<7$$"1L7.aQfn"*!#:$!1F\'[QVK['!#<7$$"1$\b#*fv*\!*!#:$!1h;6dZ7S\!#<7%7$$"11t^F;08()!#:$"1%\:n()\Bi"!#<7$$"1&p#[;_o"=*!#:$"11XGVk<)e#!#<7$$"1e7#yDOZ-*!#:$"2dOU<)\f-J!#=7%7$$"1*p))e$ySX()!#:$"1$y[*=WjTx!#<7$$"1-863!H$\"*!#:$"2<70,St07"!#<7$$"1knEJfb!**)!#:$"2*e&RMl=;3"!#<7%7$$"1[Bm'*)G*z()!#:$"1(Q#GECq\9!#;7$$"1`wLZz![6*!#:$"18wrD'=(=>!#;7$$"0(>ia,%p'*)!#9$"1Nzw`e()G=!#;7%7$$"1.?%oV.P!))!#:$"2'[?%HJTu:#!#<7$$"1(*z:2M."4*!#:$"1_z0^Rm%o#!#;7$$"00/p>=I&*)!#9$"10q`#Qx!oD!#;7%7$$"0>\A**y&=))!#9$"2Y?\p%RizG!#<7$$"0"3v^y:w!*!#9$"1&z]q_lhV$!#;7$$"0-SVHT\%*)!#9$"2E%ez#)G40L!#<7%7$$"1AV\qO?F))!#:$"1f/<pV+4O!#;7$$"1yc]tJ`n!*!#:$"28aH[Jp/=%!#<7$$"1W/i.PWS*)!#:$"2aN7Kpa;/%!#<7%7$$"1;GT*fm6$))!#:$"1[A=Y;lUV!#;7$$"1&=(eW-dj!*!#:$"2Ev<)\i]?\!#<7$$"1(enQ&)=%Q*)!#:$"1$=\dB#GyZ!#;7%7$$"1,-T*fm6$))!#:$"14V=^P\z]!#;7$$"/)*eW-dj!*!#8$"1"p:[N[tl&!#;7$$"19*oQ&)=%Q*)!#:$"1T$\2MC^^&!#;7%7$$"1AV\qO?F))!#:$"0Yq^oI&>e!#:7$$"1yc]tJ`n!*!#:$"1T&H3j&*4R'!#;7$$"1W/i.PWS*)!#:$"1bB@45=_i!#;7%7$$"1BPB#**y&=))!#:$"1OK'RZMQc'!#;7$$"1xiw^y:w!*!#:$"1kn.agP?r!#;7$$"1.#[VHT\%*)!#:$"12hz4MI*)p!#;7%7$$"1zk"oV.P!))!#:$"18$p*\gL:t!#;7$$"1AN=2M."4*!#:$"1'oI!)oeD%y!#;7$$"1'G=p>=I&*)!#:$"1Kf`>@(fs(!#;7%7$$"1v4#o*)G*z()!#:$"1(Rg+P"G"3)!#;7$$"1E!zr%z![6*!#:$"1.'R*pvH]&)!#;7$$"1:T_a,%p'*)!#:$"1%)Qz(za/Y)!#;7%7$$"1;m$e$ySX()!#:$"12R,,mUz))!#;7$$"1%Qj"3!H$\"*!#:$"1%4')*el$eA*!#;7$$"1LrIJfb!**)!#:$"11TT7=)o=*!#;7%7$$"13(4wi^Ir)!#:$"0z#z]B=T(*!#:7$$"1#H!R;_o"=*!#:$"16s?4]wP)*!#;7$$"1C/jditC!*!#:$"0RkC'o?*))*!#:7%7$$"1a#G+*H9F()!#:$"2WppRVK[1"!#;7$$"1Z<(R&Qfn"*!#:$"2dIISsI//"!#;7$$"1U7F*fv*\!*!#:$"1y!>.">'e0"!#:7%7$$"17VG7)[7y)!#:$"1'Gr3()\*\6!#:7$$"1)o:<.)[8"*!#:$"19(G"4<o-6!#:7$$"1hQdCf`]!*!#:$"1Ny&)olXB6!#:7%7$$"0xLvaI!G))!#9$"2a*=()*3T'G7!#;7$$"1JiY'H1n1*!#:$"2Y5G,"*e8<"!#;7$$"1d\X4(3B/*!#:$"2"p$>%4fm$>"!#;7%7$$"0xLlLYVN*!#9$!2f/"G,"*e8<!#<7$$"1JiY&3AIf*!#:$!2W&*=()*3T'G#!#<7$$"1d\X)\C'o&*!#:$!2'4j!e!4Mj?!#<7%7$$"1xF"4gkvI*!#:$!2^)*)z'3<o-"!#<7$$"1Cs3@Q!)R'*!#:$!2\,,Kq)\*\"!#<7$$"0")=Or^od*!#9$!29x.h5]<H"!#<7%7$$"1n(o*y(eMD*!#:$!1t]8&RsI/%!#<7$$"1L7.V'4Rp*!#:$!1F\'[QVK['!#<7$$"1$\b#)Q"Hw&*!#:$!1h;6dZ7S\!#<7%7$$"12t^;uOR#*!#:$"1%\:n()\Bi"!#<7$$"1$p#[05+3(*!#:$"11XGVk<)e#!#<7$$"1d7#o/_5b*!#:$"2dOU<)\f-J!#=7%7$$"1*p))[iB<F*!#:$"1$y[*=WjTx!#<7$$"1-86(zWcn*!#:$"2<70,St07"!#<7$$"1knE?<(o^*!#:$"2*e&RMl=;3"!#<7%7$$"1[Bm&oWiI*!#:$"1(Q#GECq\9!#;7$$"1`wLOP7T'*!#:$"18wrD'=(=>!#;7$$"0(>iVfD$\*!#9$"1Nzw`e()G=!#;7%7$$"1.?%eA>+L*!#:$"2'[?%HJTu:#!#<7$$"1(*z:'>\th*!#:$"1_z0^Rm%o#!#;7$$"00/f)RLz%*!#9$"10q`#Qx!oD!#;7%7$$"0>\7y%*[M*!#9$"2Y?\p%RizG!#<7$$"0"3vSOZ-'*!#9$"1&z]q_lhV$!#;7$$"0-SL3d7Z*!#9$"2E%ez#)G40L!#<7%7$$"1AV\f%>NN*!#:$"1f/<pV+4O!#;7$$"1yc]i*[Qf*!#:$"28aH[Jp/=%!#<7$$"1W/i#\fnY*!#:$"2aN7Kpa;/%!#<7%7$$"1;GT)Q#[d$*!#:$"1[A=Y;lUV!#;7$$"1%=(eLg))*e*!#:$"2Ev<)\i]?\!#<7$$"1(enGkMZY*!#:$"1$=\dB#GyZ!#;7%7$$"1,-T)Q#[d$*!#:$"14V=^P\z]!#;7$$"/)*eLg))*e*!#8$"1"p:[N[tl&!#;7$$"19*oGkMZY*!#:$"1T$\2MC^^&!#;7%7$$"1AV\f%>NN*!#:$"0Yq^oI&>e!#:7$$"1yc]i*[Qf*!#:$"1T&H3j&*4R'!#;7$$"1W/i#\fnY*!#:$"1bB@45=_i!#;7%7$$"1BPB"y%*[M*!#:$"1OK'RZMQc'!#;7$$"1xiwSOZ-'*!#:$"1kn.agP?r!#;7$$"1.#[L3d7Z*!#:$"12hz4MI*)p!#;7%7$$"1yk"eA>+L*!#:$"18$p*\gL:t!#;7$$"1AN='>\th*!#:$"1'oI!)oeD%y!#;7$$"1'G=f)RLz%*!#:$"1Kf`>@(fs(!#;7%7$$"1v4#eoWiI*!#:$"1(Rg+P"G"3)!#;7$$"1E!zhtB6k*!#:$"1.'R*pvH]&)!#;7$$"1:T_VfD$\*!#:$"1%)Qz(za/Y)!#;7%7$$"1;m$[iB<F*!#:$"12R,,mUz))!#;7$$"1%QjrzWcn*!#:$"1%4')*el$eA*!#;7$$"1LrI?<(o^*!#:$"11TT7=)o=*!#;7%7$$"13(4mTn$R#*!#:$"0z#z]B=T(*!#:7$$"1#H!R05+3(*!#:$"16s?4]wP)*!#;7$$"1C/jY?0^&*!#:$"0RkC'o?*))*!#:7%7$$"1a#G!z(eMD*!#:$"2WppRVK[1"!#;7$$"1Z<(Hk4Rp*!#:$"2dIISsI//"!#;7$$"1U7F)Q"Hw&*!#:$"1y!>.">'e0"!#:7%7$$"17VG,Yc2$*!#:$"1'Gr3()\*\6!#:7$$"1)o:2#Q!)R'*!#:$"19(G"4<o-6!#:7$$"1hQd8<&od*!#:$"1Ny&)olXB6!#:7%7$$"0xLlLYVN*!#9$"2a*=()*3T'G7!#;7$$"1JiY&3AIf*!#:$"2Y5G,"*e8<"!#;7$$"1d\X)\C'o&*!#:$"2"p$>%4fm$>"!#;7%7$$"0xLb7i1))*!#9$!2f/"G,"*e8<!#<7$$"1BmW(yL>,"!#9$!2W&*=()*3T'G#!#<7$$"2d\X(GS\45!#:$!2'4j!e!4Mj?!#<7%7$$"1wF"**Q!)Q$)*!#:$!2^)*)z'3<o-"!#<7$$"2Cs35'>h;5!#:$!2\,,Kq)\*\"!#<7$$"1")=E]nJ55!#9$!29x.h5]<H"!#<7%7$$"1n(ozcu(z(*!#:$!1t]8&RsI/%!#<7$$"2L7.KaA?-"!#:$!1F\'[QVK['!#<7$$"2$\bs<2E55!#:$!1h;6dZ7S\!#<7%7$$"11t^0Kol(*!#:$"1%\:n()\Bi"!#<7$$"2%p#[%z;VB5!#:$"11XGVk<)e#!#<7$$"2e7#e$yOx+"!#:$"2dOU<)\f-J!#=7%7$$"1*p))QTR!)z*!#:$"1$y[*=WjTx!#<7$$"2,86'eg>?5!#:$"2<70,St07"!#<7$$"2knE4v=V+"!#:$"2*e&RMl=;3"!#<7%7$$"1[Bmu/cK)*!#:$"1(Q#GECq\9!#;7$$"2_wLD&Ru;5!#:$"18wrD'=(=>!#;7$$"1(>iK<d>+"!#9$"1Nzw`e()G=!#;7%7$$"1.?%[,Nj&)*!#:$"2'[?%HJTu:#!#<7$$"2(*z:&)\mV,"!#:$"1_z0^Rm%o#!#;7$$"10/\x\c+5!#9$"10q`#Qx!oD!#;7%7$$"0>\-d57()*!#9$"2Y?\p%RizG!#<7$$"1"3vH%*yG,"!#9$"1&z]q_lhV$!#;7$$"0-SB(Gd(***!#9$"2E%ez#)G40L!#<7%7$$"1AV\[_$)z)*!#:$"1f/<pV+4O!#;7$$"2yc]^Z;?,"!#:$"28aH[Jp/=%!#<7$$"1W/i"GvI***!#:$"2aN7Kpa;/%!#<7%7$$"1;GTx")z$))*!#:$"1[A=Y;lUV!#;7$$"2%=(eA=?;,"!#:$"2Ev<)\i]?\!#<7$$"1(en=V]5***!#:$"1$=\dB#GyZ!#;7%7$$"/-Tx")z$))*!#8$"14V=^P\z]!#;7$$"0)*eA=?;,"!#8$"1"p:[N[tl&!#;7$$"19*o=V]5***!#:$"1T$\2MC^^&!#;7%7$$"1AV\[_$)z)*!#:$"0Yq^oI&>e!#:7$$"2yc]^Z;?,"!#:$"1T&H3j&*4R'!#;7$$"1W/i"GvI***!#:$"1bB@45=_i!#;7%7$$"1BPBq0@r)*!#:$"1OK'RZMQc'!#;7$$"2xiwH%*yG,"!#:$"1kn.agP?r!#;7$$"1-#[B(Gd(***!#:$"12hz4MI*)p!#;7%7$$"1yk"[,Nj&)*!#:$"18$p*\gL:t!#;7$$"2AN=&)\mV,"!#:$"1'oI!)oeD%y!#;7$$"2'G=\x\c+5!#:$"1Kf`>@(fs(!#;7%7$$"1v4#[ZgD$)*!#:$"1(Rg+P"G"3)!#;7$$"2D!z^_Ru;5!#:$"1.'R*pvH]&)!#;7$$"2:T_K<d>+"!#:$"1%)Qz(za/Y)!#;7%7$$"1;m$QTR!)z*!#:$"12R,,mUz))!#;7$$"2%Qjheg>?5!#:$"1%4')*el$eA*!#;7$$"2LrI4v=V+"!#:$"11TT7=)o=*!#;7%7$$"13(4c?$ol(*!#:$"0z#z]B=T(*!#:7$$"2#H!R%z;VB5!#:$"16s?4]wP)*!#;7$$"2C/jNyOx+"!#:$"0RkC'o?*))*!#:7%7$$"1a#G!oXxz(*!#:$"2WppRVK[1"!#;7$$"2Y<(>VD-A5!#:$"2dIISsI//"!#;7$$"2U7Fxrg-,"!#:$"1y!>.">'e0"!#:7%7$$"17VG!R!)Q$)*!#:$"1'Gr3()\*\6!#:7$$"2)o:(4'>h;5!#:$"19(G"4<o-6!#:7$$"1'Qd-v;.,"!#9$"1Ny&)olXB6!#:7%7$$"0xLb7i1))*!#9$"2a*=()*3T'G7!#;7$$"1BmW(yL>,"!#9$"2Y5G,"*e8<"!#;7$$"2d\X(GS\45!#:$"2"p$>%4fm$>"!#;-%&COLORG6]dl%$HUEG$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""$""!!""-%%VIEWG6$;$!+Z*y:j#!#5$"+*y:j-"!");$!+`5UoB!#5$"+0@%oB"!"*-%+AXESLABELSG6$Q"t6"Q%u(t)6"-%%ROOTG6'-%)BOUNDS_XG6#$"$S'!""-%)BOUNDS_YG6#$"#]!""-%-BOUNDS_WIDTHG6#$"%?L!""-%.BOUNDS_HEIGHTG6#$"%+R!""-%)CHILDRENG6"

A first order scalar DE is du/dt = f(u,t) = u(1-u) in this case. So if the solution has value u(t) at a time t then du/dt must be f(u,t) at that time. The plot above shows the slopes the solution must have. Because our f does not depend on t (an autonomous equation), the slopes are the same for every t. The solution must follow the arrows. From this picture, we see that u=0 is an unstable equilibrium. For this autonomous case, we can get all this information from the graph of f(u) 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

I will interpret this on the board in class, please refer to the written notes, part III.