Maple revision _________________________________________________________________________________ Exercise 1
x[1] := sin(theta) * sin(phi);
NiM+JiUieEc2IyIiIiomLSUkc2luRzYjJSZ0aGV0YUciIiItJSRzaW5HNiMlJHBoaUciIiI=
x[2] := sin(theta) * cos(phi);
NiM+JiUieEc2IyIiIyomLSUkc2luRzYjJSZ0aGV0YUciIiItJSRjb3NHNiMlJHBoaUciIiI=
x[3] := cos(theta);
NiM+JiUieEc2IyIiJC0lJGNvc0c2IyUmdGhldGFH
simplify(x[1]^2 + x[2]^2 + x[3]^2);
NiMiIiI=
_________________________________________________________________________________ Exercise 2
u := 8-(x-y)^2*(x+y)^2*(16-4*x^2-y^4);
NiM+JSJ1RywmIiIpIiIiKigpLCYlInhHIiIiJSJ5RyEiIiIiIyIiIiksJiUieEciIiIlInlHIiIiIiIjIiIiLCgiIzsiIiIqJiIiJSIiIiklInhHIiIjIiIiISIiKiQpJSJ5RyIiJSIiIiEiIiIiIiEiIg==
v := subs( x = 2*cos(t), y = 2*sin(t), u);
NiM+JSJ2RywmIiIpIiIiKigpLCYqJiIiIyIiIi0lJGNvc0c2IyUidEciIiIiIiIqJiIiIyIiIi0lJHNpbkc2IyUidEciIiIhIiIiIiMiIiIpLCYqJiIiIyIiIi0lJGNvc0c2IyUidEciIiIiIiIqJiIiIyIiIi0lJHNpbkc2IyUidEciIiIiIiIiIiMiIiIsKCIjOyIiIiomIiM7IiIiKS0lJGNvc0c2IyUidEciIiMiIiIhIiIqJiIjOyIiIiktJSRzaW5HNiMlInRHIiIlIiIiISIiIiIiISIi
simplify(v);
NiMsLCIiKSIiIiomIiUhRyIiIiIpLSUkY29zRzYjJSJ0RyIiJSIiIiIiIiomIiVbPyIiIiktJSRjb3NHNiMlInRHIiInIiIiISIiKiYiJGMjIiIiKS0lJGNvc0c2IyUidEciIiMiIiIhIiIqJiIlQzUiIiIpLSUkY29zRzYjJSJ0RyIiKSIiIiIiIg==
combine(v);
NiMsJComIiIpIiIiLSUkY29zRzYjLCQqJiIiKSIiIiUidEciIiIiIiIiIiIiIiI=
_________________________________________________________________________________ Exercise 3
solve({a*x+b*y+c*z=1,
a*y+b*z+c*x=1,
a*z+b*x+c*y=1},
{x,y,z});
NiM8JS8lInpHKiYiIiIiIiIsKCUiYUciIiIlImJHIiIiJSJjRyIiIiEiIi8lInlHKiYiIiIiIiIsKCUiYUciIiIlImJHIiIiJSJjRyIiIiEiIi8lInhHKiYiIiIiIiIsKCUiYUciIiIlImJHIiIiJSJjRyIiIiEiIg==
_________________________________________________________________________________ Exercise 4
fsolve(x^4+sin(x)=10^4,{x=10});
NiM8Iy8lInhHJCIrLk8sKzUhIik=
_________________________________________________________________________________ Exercise 5
f := (x) -> (exp(x) + x^7)/(exp(x) - x^7);
NiM+JSJmR2YqNiMlInhHNiI2JCUpb3BlcmF0b3JHJSZhcnJvd0c2IiomLCYtJSRleHBHNiMlInhHIiIiKiQpJSJ4RyIiKCIiIiIiIiIiIiwmLSUkZXhwRzYjJSJ4RyIiIiokKSUieEciIigiIiIhIiIhIiI2IjYiNiI=
evalf(f(5));
NiMkISszbSFRKyIhIio=
seq( evalf(f(n)), n = 0.. 50);
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
_________________________________________________________________________________ Exercise 6
with(plots):
Warning, the name changecoords has been redefined
display(
implicitplot(x^4+y^4=4,x=-3..3,y=-3..3),
plot([(2+sin(8*t))*cos(t),(2+sin(8*t))*sin(t),t=0..2*Pi])
);
6*-%'CURVESG6cp7$7$$!2#************>8!#;$!1AV*>I%*pp*!#;7$$!2A+b#\2we8!#;$!1#************R)!#;7$7$$!1-]D\2we8!#:$!1#************R)!#;7$$!1oyK<$HWO"!#:$!1.8sEoqbz!#;7$7$$!2Y<5*Q9Q*Q"!#;$!1#*************f!#;7$$!1oyK<$HWO"!#:$!1.8sEoqbz!#;7$7$$!2Y<5*Q9Q*Q"!#;$!1#*************f!#;7$$!1$fr?<.AR"!#:$!1`SGz#ozF&!#;7$7$$!2B+b#\2w)R"!#;$!1#************f$!#;7$$!1$fr?<.AR"!#:$!1`SGz#ozF&!#;7$7$$!2B+b#\2w)R"!#;$!1#************f$!#;7$$!1j:q8g@*R"!#:$!1cV)H')Ry!G!#;7$7$$!2(H)*ff+9+9!#;$!2A************>"!#<7$$!1j:q8g@*R"!#:$!1cV)H')Ry!G!#;7$7$$!2(H)*ff+9+9!#;$!2A************>"!#<7$$!2(H)*ff+9+9!#;$!1vo,SS*f)R!#<7$7$$!2(H)*ff+9+9!#;$"2x++++++?"!#<7$$!2(H)*ff+9+9!#;$!1vo,SS*f)R!#<7$7$$!2(H)*ff+9+9!#;$"2x++++++?"!#<7$$!2j6-k6#o*R"!#;$"2#z6-k6#o*>!#<7$7$$!1-]D\2w)R"!#:$"2w++++++g$!#<7$$!2j6-k6#o*R"!#;$"2#z6-k6#o*>!#<7$7$$!1-]D\2w)R"!#:$"2w++++++g$!#<7$$!2on&o3&)z&R"!#;$"2Fyco3&)zN%!#<7$7$$!2W<5*Q9Q*Q"!#;$"13++++++g!#;7$$!2on&o3&)z&R"!#;$"2Fyco3&)zN%!#<7$7$$!2W<5*Q9Q*Q"!#;$"13++++++g!#;7$$!22F1(R4`"Q"!#;$"1BF1(R4`h'!#;7$7$$!1-]D\2we8!#:$"12++++++%)!#;7$$!22F1(R4`"Q"!#;$"1BF1(R4`h'!#;7$7$$!1-]D\2we8!#:$"12++++++%)!#;7$$!0brnMU)\8!#9$"1:brnMU)p)!#;7$7$$!1************>8!#:$"1AV*>I%*pp*!#;7$$!0brnMU)\8!#9$"1:brnMU)p)!#;7$7$$!2#************z5!#;$!0XDye6KE"!#97$$!0XDye6KE"!#9$!2#************z5!#;7$7$$!0XDye6KE"!#9$!2#************z5!#;7$$!1************>8!#:$!1AV*>I%*pp*!#;7$7$$!2#************>8!#;$"1AV*>I%*pp*!#;7$$!2K%HkCA^#G"!#;$"2Y%HkCA^U5!#;7$7$$!2)[a#ye6KE"!#;$"22++++++3"!#;7$$!2K%HkCA^#G"!#;$"2Y%HkCA^U5!#;7$7$$!2)[a#ye6KE"!#;$"22++++++3"!#;7$$!2Qs7Rz0;<"!#;$"2`s7Rz0;<"!#;7$7$$!2#************z5!#;$"2&\a#ye6KE"!#;7$$!2Qs7Rz0;<"!#;$"2`s7Rz0;<"!#;7$7$$!1#************R)!#;$!2A+b#\2we8!#;7$$!1AV*>I%*pp*!#;$!2#************>8!#;7$7$$!1AV*>I%*pp*!#;$!1************>8!#:7$$!2#************z5!#;$!0XDye6KE"!#97$7$$!2#************z5!#;$"2(\a#ye6KE"!#;7$$!2E%HkCA^U5!#;$"2T%HkCA^#G"!#;7$7$$!1%G%*>I%*pp*!#;$"22++++++K"!#;7$$!2E%HkCA^U5!#;$"2T%HkCA^#G"!#;7$7$$!1%G%*>I%*pp*!#;$"22++++++K"!#;7$$!0\:xYB%)p)!#:$"23brnMU)\8!#;7$7$$!1#************R)!#;$"2D+b#\2we8!#;7$$!0\:xYB%)p)!#:$"23brnMU)\8!#;7$7$$!1#************R)!#;$!1-]D\2we8!#:7$$!1.8sEoqbz!#;$!1oyK<$HWO"!#:7$7$$!1#*************f!#;$!2Y<5*Q9Q*Q"!#;7$$!1.8sEoqbz!#;$!1oyK<$HWO"!#:7$7$$!1#************R)!#;$"2F+b#\2we8!#;7$$!1'piqR4`h'!#;$"27F1(R4`"Q"!#;7$7$$!1#*************f!#;$"2Y<5*Q9Q*Q"!#;7$$!1'piqR4`h'!#;$"27F1(R4`"Q"!#;7$7$$!1#*************f!#;$!2Y<5*Q9Q*Q"!#;7$$!1`SGz#ozF&!#;$!1$fr?<.AR"!#:7$7$$!1#************f$!#;$!2B+b#\2w)R"!#;7$$!1`SGz#ozF&!#;$!1$fr?<.AR"!#:7$7$$!1#*************f!#;$"2Y<5*Q9Q*Q"!#;7$$!2Vvco3&)zN%!#<$"1xco3&)z&R"!#:7$7$$!1#************f$!#;$"2B+b#\2w)R"!#;7$$!2Vvco3&)zN%!#<$"1xco3&)z&R"!#:7$7$$!1#************f$!#;$!2B+b#\2w)R"!#;7$$!1cV)H')Ry!G!#;$!1j:q8g@*R"!#:7$7$$!2A************>"!#<$!2(H)*ff+9+9!#;7$$!1cV)H')Ry!G!#;$!1j:q8g@*R"!#:7$7$$!1#************f$!#;$"2B+b#\2w)R"!#;7$$!2&\6-k6#o*>!#<$"2l6-k6#o*R"!#;7$7$$!2A************>"!#<$"2(H)*ff+9+9!#;7$$!2&\6-k6#o*>!#<$"2l6-k6#o*R"!#;7$7$$!2A************>"!#<$!2(H)*ff+9+9!#;7$$!1vo,SS*f)R!#<$!2(H)*ff+9+9!#;7$7$$"2x++++++?"!#<$!2(H)*ff+9+9!#;7$$!1vo,SS*f)R!#<$!2(H)*ff+9+9!#;7$7$$!2B************>"!#<$"0$)*ff+9+9!#97$$"1vr,SS*f)R!#<$"0$)*ff+9+9!#97$7$$"2x++++++?"!#<$"2(H)*ff+9+9!#;7$$"1vr,SS*f)R!#<$"0$)*ff+9+9!#97$7$$"2x++++++?"!#<$!2(H)*ff+9+9!#;7$$"2%z6-k6#o*>!#<$!2j6-k6#o*R"!#;7$7$$"2w++++++g$!#<$!1-]D\2w)R"!#:7$$"2%z6-k6#o*>!#<$!2j6-k6#o*R"!#;7$7$$"2x++++++?"!#<$"0$)*ff+9+9!#97$$"2lQ%)H')Ry!G!#<$"1j:q8g@*R"!#:7$7$$"2w++++++g$!#<$"2B+b#\2w)R"!#;7$$"2lQ%)H')Ry!G!#<$"1j:q8g@*R"!#:7$7$$"2w++++++g$!#<$!1-]D\2w)R"!#:7$$"2Fyco3&)zN%!#<$!2on&o3&)z&R"!#;7$7$$"13++++++g!#;$!2W<5*Q9Q*Q"!#;7$$"2Fyco3&)zN%!#<$!2on&o3&)z&R"!#;7$7$$"2w++++++g$!#<$"2B+b#\2w)R"!#;7$$"1%3%Gz#ozF&!#;$"2Lfr?<.AR"!#;7$7$$"13++++++g!#;$"2Y<5*Q9Q*Q"!#;7$$"1%3%Gz#ozF&!#;$"2Lfr?<.AR"!#;7$7$$"13++++++g!#;$!2W<5*Q9Q*Q"!#;7$$"1BF1(R4`h'!#;$!22F1(R4`"Q"!#;7$7$$"12++++++%)!#;$!1-]D\2we8!#:7$$"1BF1(R4`h'!#;$!22F1(R4`"Q"!#;7$7$$"13++++++g!#;$"2Y<5*Q9Q*Q"!#;7$$"1N8sEoqbz!#;$"2z'yK<$HWO"!#;7$7$$"12++++++%)!#;$"2A+b#\2we8!#;7$$"1N8sEoqbz!#;$"2z'yK<$HWO"!#;7$7$$"12++++++%)!#;$!1-]D\2we8!#:7$$"1:brnMU)p)!#;$!0brnMU)\8!#97$7$$"1AV*>I%*pp*!#;$!1************>8!#:7$$"1:brnMU)p)!#;$!0brnMU)\8!#97$7$$"1AV*>I%*pp*!#;$!2#************>8!#;7$$"2Y%HkCA^U5!#;$!1VHkCA^#G"!#:7$7$$"22++++++3"!#;$!2)[a#ye6KE"!#;7$$"2Y%HkCA^U5!#;$!1VHkCA^#G"!#:7$7$$"22++++++3"!#;$"2%[a#ye6KE"!#;7$$"1#G%*>I%*pp*!#;$"22++++++K"!#;7$7$$"1#G%*>I%*pp*!#;$"22++++++K"!#;7$$"12++++++%)!#;$"2A+b#\2we8!#;7$7$$"22++++++3"!#;$!2)[a#ye6KE"!#;7$$"2`s7Rz0;<"!#;$!2Qs7Rz0;<"!#;7$7$$"2&\a#ye6KE"!#;$!2#************z5!#;7$$"2`s7Rz0;<"!#;$!2Qs7Rz0;<"!#;7$7$$"2(\a#ye6KE"!#;$!2#************z5!#;7$$"2T%HkCA^#G"!#;$!2E%HkCA^U5!#;7$7$$"22++++++K"!#;$!1%G%*>I%*pp*!#;7$$"2T%HkCA^#G"!#;$!2E%HkCA^U5!#;7$7$$"22++++++K"!#;$"1#G%*>I%*pp*!#;7$$"2%[a#ye6KE"!#;$"22++++++3"!#;7$7$$"2%[a#ye6KE"!#;$"22++++++3"!#;7$$"22++++++3"!#;$"2%[a#ye6KE"!#;7$7$$"22++++++K"!#;$!1%G%*>I%*pp*!#;7$$"23brnMU)\8!#;$!1"\:xYB%)p)!#;7$7$$"2D+b#\2we8!#;$!1#************R)!#;7$$"23brnMU)\8!#;$!1"\:xYB%)p)!#;7$7$$"2F+b#\2we8!#;$!1#************R)!#;7$$"27F1(R4`"Q"!#;$!1'piqR4`h'!#;7$7$$"2Y<5*Q9Q*Q"!#;$!1#*************f!#;7$$"27F1(R4`"Q"!#;$!1'piqR4`h'!#;7$7$$"2Y<5*Q9Q*Q"!#;$!1#*************f!#;7$$"1xco3&)z&R"!#:$!2Vvco3&)zN%!#<7$7$$"2B+b#\2w)R"!#;$!1#************f$!#;7$$"1xco3&)z&R"!#:$!2Vvco3&)zN%!#<7$7$$"2B+b#\2w)R"!#;$!1#************f$!#;7$$"2l6-k6#o*R"!#;$!2#\6-k6#o*>!#<7$7$$"2(H)*ff+9+9!#;$!2A************>"!#<7$$"2l6-k6#o*R"!#;$!2#\6-k6#o*>!#<7$7$$"0$)*ff+9+9!#9$!2B************>"!#<7$$"2(H)*ff+9+9!#;$"1tr,SS*f)R!#<7$7$$"2(H)*ff+9+9!#;$"2x++++++?"!#<7$$"2(H)*ff+9+9!#;$"1tr,SS*f)R!#<7$7$$"0$)*ff+9+9!#9$"2x++++++?"!#<7$$"1j:q8g@*R"!#:$"2lQ%)H')Ry!G!#<7$7$$"2B+b#\2w)R"!#;$"2w++++++g$!#<7$$"1j:q8g@*R"!#:$"2lQ%)H')Ry!G!#<7$7$$"2B+b#\2w)R"!#;$"2w++++++g$!#<7$$"1$fr?<.AR"!#:$"1%3%Gz#ozF&!#;7$7$$"2Y<5*Q9Q*Q"!#;$"13++++++g!#;7$$"1$fr?<.AR"!#:$"1%3%Gz#ozF&!#;7$7$$"2Y<5*Q9Q*Q"!#;$"13++++++g!#;7$$"2z'yK<$HWO"!#;$"1O8sEoqbz!#;7$7$$"2A+b#\2we8!#;$"12++++++%)!#;7$$"2z'yK<$HWO"!#;$"1O8sEoqbz!#;7$7$$"2A+b#\2we8!#;$"12++++++%)!#;7$$"22++++++K"!#;$"1#G%*>I%*pp*!#;-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7cy7$$"#?!""$""!!""7$$"2k],yN@\^#!#;$"2=HTk@f[s"!#<7$$"1'QH4Ep@'G!#:$"2%eTo$[$fWR!#<7$$"1%y.w^-N!H!#:$"22)G.2Y?VW!#<7$$"21pDo@l3$H!#;$"2W;=C6BH$\!#<7$$"1&Qjw,XQ%H!#:$"1z?xO'foS&!#;7$$"2'ye#)[XCUH!#;$"0Wzq!RCee!#:7$$"1mCm!f$3EH!#:$"1/!>>s#e!G'!#;7$$"1NJLhxf&*G!#:$"1F?5'>9ym'!#;7$$"1WjPTPB^G!#:$"1'[p%y]X9q!#;7$$"2(flcG6k$z#!#;$"1wcTo!QdJ(!#;7$$"1MgUHCW(R#!#:$"1B%*QXo8G!)!#;7$$"2@UR=?0(o=!#;$"1$fS$*z+Vo(!#;7$$"2U&yttd?\8!#;$"1,F[x$eSk'!#;7$$"1n$Q_C%>j(*!#;$"1$ySU]wal&!#;7$$"1og"f!f8s"*!#;$"1ig>@vr?b!#;7$$"1'pia,^.t)!#;$"10.BT0Yca!#;7$$"1)*\;\(=ic)!#;$"1(\5a9nVX&!#;7$$"1y`ec<&*R%)!#;$"1eeBk2/ua!#;7$$"1j)H#)*fK^$)!#;$"12Q,$yjm^&!#;7$$"1O&))oFE**H)!#;$"1vR9-!3Le&!#;7$$"1z&=3.]^G)!#;$"0@`LmE\n&!#:7$$"1n9(p37iI)!#;$"1_&RO2ZBz&!#;7$$"1,auU.:i$)!#;$"1a^[vQEOf!#;7$$"1#HS)RB$=X)!#;$"1#)>Y3IB2h!#;7$$"16c(3I"4F()!#;$"1hA@[u#=`'!#;7$$"1:&\!pS#)>"*!#;$"1%o_dv@w1(!#;7$$"2x$ywgxXM6!#;$"12#[vUY2)**!#;7$$"1;%pC^(G29!#:$"2wE$yC7r-9!#;7$$"2tJ:6Gn6k"!#;$"2Yv6$QoZh=!#;7$$"1(3+PlhQu"!#:$"2&epnB[fbA!#;7$$"2**G,!eBFV<!#;$"2t&4T%[">MB!#;7$$"2Up@E\f5t"!#;$"2Xl%))y%Q-S#!#;7$$"1v*))QnR1s"!#:$"2V`#)=Sv"GC!#;7$$"2bx*)=t(R2<!#;$"1'Q0))fZDX#!#:7$$"2_fa5K"R"p"!#;$"1%**z&>XCtC!#:7$$"2X-_2`"ps;!#;$"2wo&oXA<!\#!#;7$$"1W'QkH#Q^;!#:$"068n6aK]#!#97$$"2dlc\ufvi"!#;$"2#*)=;r7V7D!#;7$$"2b@)Hy9L,;!#;$"2'*G_!)4jw^#!#;7$$"2'*ex/!e"Gd"!#;$"2dQ!R'fF*=D!#;7$$"2()>]-%RW4:!#;$"2mq.e9h&4D!#;7$$"2Cm@$e@dQ9!#;$"1$4"y[d`%[#!#:7$$"2()4()ec+r5"!#;$"2u@4y'z]VA!#;7$$"1y$y$Gt8=w!#;$"2%4YV'ecH%=!#;7$$"2c&4$4y.9p%!#<$"0e9f^7')R"!#97$$"2&)\#ywI3,G!#<$"0:o<T=K2"!#97$$"2OlwZb!zCD!#<$"1<@t?$z0."!#:7$$"1'e^P<QBH#!#;$"22(**px$41+"!#;7$$"1w&pQ+))))4#!#;$"1$fqXp2'R)*!#;7$$"2FE.DKn)Q>!#<$"1O)e+4Q2")*!#;7$$"1&*eY**R61=!#;$"0s&Ruko@**!#:7$$"2dw#)yBKSp"!#<$"2DRPvdSs,"!#;7$$"1C))Gc`v&f"!#;$"23X'=A!fg0"!#;7$$"2$[Jhy@J/:!#<$"1lL2Q-<36!#:7$$"1(*yOfk^()**!#<$"23F'*obC[["!#;7$$!2LDq!Qi1(>"!#>$"06[0[wZ+#!#97$$!2#R`%Q!fbH<!#<$"1D*GTXmf^#!#:7$$!2&[or!Q0^$R!#<$"2Ny)y%*\DhG!#;7$$!2%)=[]hXN[%!#<$"2W+\&=EE1H!#;7$$!1;<#zbN0-&!#;$"1ZJABhIMH!#:7$$!17be1m'=G&!#;$"1h4woSzTH!#:7$$!1lf,F&3p`&!#;$"0"Q%[ft[%H!#97$$!13GQ(R^Xy&!#;$"/h7f,`VH!#87$$!1>#>6y9P-'!#;$"2W(4Ve"px$H!#;7$$!166r4`Zsk!#;$"2=3@()=:J"H!#;7$$!1N#f$ytUvo!#;$"2m7lYK[8(G!#;7$$!1T)>\mbdA(!#;$"2b@+AR4K"G!#;7$$!16/]>J!y^(!#;$"2L70DYF(RF!#;7$$!17(G#3g7O!)!#;$"2Zh*Q)Q(emB!#;7$$!0T:&pdZ@x!#:$"1zvG&H*=&*=!#:7$$!1axlUq>Um!#;$"1y<;m%f%[8!#:7$$!1#\83/QDi&!#;$"0w;?V*RH'*!#:7$$!1OX)f'y'4^&!#;$"1h#=Y+D97*!#;7$$!0m1(f#RmX&!#:$"1l.L(4JHt)!#;7$$!14h>Vxfna!#;$"13s'\S?`Y)!#;7$$!1@[MgI%4b&!#;$"1'RV$pL+=$)!#;7$$!1$G.HvoEr&!#;$"1V'R2"yV)G)!#;7$$!18,4m!>v&f!#;$"1Ks!*\2?s$)!#;7$$!1UH7^h'))G'!#;$"1u&p+%34j&)!#;7$$!1.i$))=5'3n!#;$"/@X6$fK&))!#97$$!1R*pt$[)=z*!#;$"24jIEsj/7"!#;7$$!2t313o<DV"!#;$"1;4R#GL^U"!#:7$$!2Kc9"f>)>(=!#;$"1vLJK;OX;!#:7$$!1C#G][y'\A!#:$"2[%G))o#pMu"!#;7$$!2n-y?)*>.L#!#;$"1w*H\\'fV<!#:7$$!2Z#f<^J1)R#!#;$"2(R$zoB3<t"!#;7$$!1#y,Lp%pEC!#:$"2PglHR-8s"!#;7$$!2XXPz"*[;X#!#;$"2_\*zoo(zq"!#;7$$!1(3#*z%)3GZ#!#:$"2G'e;\:z"p"!#;7$$!1[H\V_2!\#!#:$"2n1oKp?Gn"!#;7$$!2XlX[GnL]#!#;$"2aC'f(H_6l"!#;7$$!1zw]hJi7D!#:$"1%Q*)fQ()oi"!#:7$$!1tOAi0!y^#!#:$"2:'HtJ#R,g"!#;7$$!2&e4]jq()=D!#;$"1U<!p^K5d"!#:7$$!27;=&4(Q(3D!#;$"246">RPH1:!#;7$$!2lG*4wXV#[#!#;$"2.)4EJ8'QV"!#;7$$!105H)[uyC#!#:$"2M&eT()yl66!#;7$$!2#=264]Jh=!#;$"0M'>R/`ax!#:7$$!2v2Z"Q&z9U"!#;$"1<)Qo-+"G[!#;7$$!2b$36%4n$*3"!#;$"0(p,eW?**G!#:7$$!2T,1X@i</"!#;$"1a'p>a#z+E!#;7$$!27)z"eyzs+"!#;$"2'pf6r%[*\B!#<7$$!1bL7Lc3_**!#;$"2j/v`VR3C#!#<7$$!1-oye@)o')*!#;$"2$e*GnIz;9#!#<7$$!16'f^G$y<)*!#;$"2LXd>/6<0#!#<7$$!1rJEwDB0)*!#;$"2$3`&p-M,(>!#<7$$!1*eCGIv2*)*!#;$"1>?+7hwG=!#;7$$!2;J'[>UR75!#;$"1G3F!=40r"!#;7$$!2ZO>`3l-0"!#;$"1ioYB<'zg"!#;7$$!2%)3J*HGB-6!#;$"2'[:-Cod8:!#<7$$!2n^>fg.nY"!#;$"2%f8&*f;=D5!#<7$$!2_<=7`#=v>!#;$"1&y.<o"oDh!#=7$$!1%)\P\,X*\#!#:$!23=+Wm@hl"!#<7$$!1X:+!Rfr&G!#:$!0KHzr)=$*Q!#:7$$!1&)=+bEK+H!#:$!1p7o`]D)R%!#;7$$!2$Rzs:(G#HH!#;$!2ZjP5!\&[*[!#<7$$!1"G,@jJM%H!#:$!1*p=CTYeP&!#;7$$!1U[v]0rUH!#:$!02_&>&*>Me!#:7$$!2w$z4!Hsq#H!#;$!1w(z`sjJE'!#;7$$!2OC*Hr,v'*G!#;$!18ym9@Vcm!#;7$$!1CF`G"*>_G!#:$!1;lh6")H3q!#;7$$!1'H8`>(3%z#!#:$!/,5O;!QJ(!#97$$!2W$)[%H9!=T#!#;$!/s3,K'G-)!#97$$!2r(>DCGQ+>!#;$!1R2%G0f&Gx!#;7$$!2#>g>/;Ux8!#;$!0/z<)[y8n!#:7$$!16Bl]#)3N**!#;$!1"\5>r%3*p&!#;7$$!1X'yt0:!=$*!#;$!0nYpQR3b&!#:7$$!17V)omkL%))!#;$!0pG)4!*>na!#:7$$!18WaXNWg')!#;$!1<P#Ho)4`a!#;7$$!1sR50*fR^)!#;$!0%\&G))*=fa!#:7$$!1&4EG89QS)!#;$!1t^5Tnk'[&!#;7$$!1rApp#G(H$)!#;$!1(p=f/Yl`&!#;7$$!1Fq<&))[7H)!#;$!1sn+,(f)4c!#;7$$!1*ev-#3v(G)!#;$!1p[*foZuq&!#;7$$!1B$4UxT%=$)!#;$!1K`qi:0Ie!#;7$$!1:X$fqnBQ)!#;$!1&p-'o&)Gyf!#;7$$!1>m(>[P`g)!#;$!1n#>,FyMN'!#;7$$!1n'[KFYg%*)!#;$!1drH&G%GNo!#;7$$!2\llEf&p66!#;$!1UEM6N?u'*!#;7$$!2i@6NVf-R"!#;$!2&fu3)oqZP"!#;7$$!1'3m60Luk"!#:$!2;.$>7xAx=!#;7$$!1"4_*GG,X<!#:$!1;dYiXT(H#!#:7$$!2xU-/=<!R<!#;$!2b$fIpqjmB!#;7$$!23aPx/0Ds"!#;$!2&ybM6\#RU#!#;7$$!2pXZYCt.r"!#;$!1\58%z"zZC!#:7$$!20h3iU<dp"!#;$!2'\(>&)\Q$oC!#;7$$!2#RM#Q`'fy;!#;$!2#3u0!H![&[#!#;7$$!2N[edC!3f;!#;$!2$*o(pgl9*\#!#;7$$!2_H4[#3>8;!#;$!0)pQTL%e^#!#97$$!2%o!\H7,)e:!#;$!1>uEK<;=D!#:7$$!2B$z5#>)z'\"!#;$!1)HNZ/#31D!#:7$$!2st?'yA=G9!#;$!1erU(>O)zC!#:7$$!2*=2\X0N(3"!#;$!1&*yXxGHCA!#:7$$!1#3>lBa#pt!#;$!2WVhLq@*3=!#;7$$!1Fkp>!*3aZ!#;$!2G)G2"QA"49!#;7$$!2uRD,a41)H!#<$!2C&[-u"=I5"!#;7$$!0*f'3rD^k#!#:$!2<6MV$\][5!#;7$$!2$\q(=immO#!#<$!2Kt&o*>C$45!#;7$$!2%)[b*RE"pC#!#<$!1p#e+DZ"e**!#;7$$!2Kz,+$R'*Q@!#<$!1C*fF0h\')*!#;7$$!2&=$z29\=/#!#<$!1V+n/:X9)*!#;7$$!2&ouL4j`a>!#<$!16Ij.S<2)*!#;7$$!2-mB:5Tf(=!#<$!1#)QL<yYV)*!#;7$$!2n"ylL`$\!=!#<$!17JpcPXB**!#;7$$!2tMl)=dNS<!#<$!1zSb'H.Z+"!#:7$$!2O$3P!y75o"!#<$!2u#R_$o)Q@5!#;7$$!1m*)RbA?t:!#;$!2&=B#QF0v1"!#;7$$!1&pRWt2=Z"!#;$!2i5O"=v+I6!#;7$$!1i`%>UBv*)*!#<$!2b'H;'=B4\"!#;7$$!1`Ry]M**Rg!#=$!1:Z%)*4Mb(>!#:7$$"13$RSg&Gk:!#;$!2.'*\LZd#yC!#;7$$"12YbN`U"o$!#;$!1[>I#Qh]$G!#:7$$"2;j,'\C7CU!#<$!2=lQ$\S(p)G!#;7$$"2$oJcLf#*fZ!#<$!2Q'Ruu-vAH!#;7$$"1(=]DlZ+G&!#;$!1i)Hjtc<%H!#:7$$"19UN-gyvd!#;$!2Pg3A9bO%H!#;7$$"1;X5rV(=,'!#;$!1")G`1^;QH!#:7$$"1D5qKNwQi!#;$!2EB=f92%GH!#;7$$"1t*QP>&\bk!#;$!2vpos?BW"H!#;7$$"1e=v@*f6m'!#;$!2u#)Q#yNF'*G!#;7$$"1'o%>YY$f.(!#;$!1<_YK!3y%G!#:7$$"1H,B!*Q.dt!#;$!2LYt0&\%Qy#!#;7$$"1<w*eWxS.)!#;$!2(z"fe/hjP#!#;7$$"1o437s"=k(!#;$!2,R9[qX)R=!#;7$$"1'[eV1;Fi'!#;$!2$\JNQ"p1M"!#;7$$"1-UU"o2gm&!#;$!1>qCl-=0)*!#;7$$"1*f!Re*=!Gb!#;$!1^#H#z@")3#*!#;7$$"1)GRHBd'ea!#;$!1xHIElCf()!#;7$$"12=a,vD`a!#;$!1U%Q9,].f)!#;7$$"1fr$*\H5pa!#;$!1Rvo)ov(e%)!#;7$$"1<^x'*pO2b!#;$!1@%R"))eLk$)!#;7$$"1*3"o*4<"pb!#;$!1BARsol1$)!#;7$$"1kpPypIbc!#;$!1'fGsK#=&G)!#;7$$"1Hmw+%pnw&!#;$!1bS9vx<*H)!#;7$$"1&3O'y&4U!f!#;$!1>zn#)etZ$)!#;7$$"1*4Kk@*>og!#;$!178%yi#yH%)!#;7$$"0[:NL:uZ'!#:$!1>Y@;_D*o)!#;7$$"1ib">#*Rh*p!#;$!1Yh&RIaf1*!#;7$$"20())[4`R35!#;$!2ilHsfj?9"!#;7$$"2>I7"\zdU9!#;$!29R7CB"3J9!#;7$$"2m/>T\#fu=!#;$!2&em`)R%RY;!#;7$$"2.uv&>4JYA!#;$!23z>#3EAV<!#;7$$"2x*)[JQ[%HB!#;$!2\V"**fXmV<!#;7$$"1@wpVv**)R#!#:$!10Sv8@VJ<!#:7$$"1eX??'R#GC!#:$!2))z"*Gh51s"!#;7$$"1OUF_\f`C!#:$!29!RJ^Cr1<!#;7$$"22%R:]"Q\Z#!#;$!2K$*o3k.)*o"!#;7$$"2X$*H(HO;#\#!#;$!2pPb;8m*p;!#;7$$"2%eo'HQ'=0D!#;$!2ZNYa2(HZ;!#;7$$"2(>OyOE%R^#!#;$!2TonU+3>i"!#;7$$"2'=7!eR!R=D!#;$!2%oS-IR#Rf"!#;7$$"1fy0l)4&=D!#:$!2;>=:P#[j:!#;7$$"1%>ZvU(z0D!#:$!2=fq'>J$e\"!#;7$$"2dMI\>*4wC!#;$!2k*[l_'p-U"!#;7$$"2/NoI@MTC#!#;$!2WVZ5b_x5"!#;7$$"2E_>:7%[r=!#;$!16"H4Z_2$y!#;7$$"2Ey)[OqtO9!#;$!2.yW()yb*>\!#<7$$"1fNqhbp,6!#:$!1$HE6isF(H!#;7$$"13A'fi!3]5!#:$!2dq()>x_`l#!#<7$$"14vLI;875!#:$!2bv(>,"e!*Q#!#<7$$"1mpUh-m&)**!#;$!2%)f*[)f*[tA!#<7$$"0;[>_js))*!#:$!2alQ$[4mo@!#<7$$"14dy@1#o#)*!#;$!2#)39=3mP2#!#<7$$"0`iyBd[!)*!#:$!1$e)R5([z)>!#;7$$"17E'=96w()*!#;$!2Ei[aF2*R=!#<7$$"2)\\R)\E1,"!#;$!2:IW;W?pr"!#<7$$"1x'36ov)[5!#:$!2dOy"y0)4h"!#<7$$"2XzWqkC?5"!#;$!2bL<%ob!R^"!#<7$$"20/*e)34sZ"!#;$!24E-3)\"*45!#<7$$"0Jjl++++#!#9$"2'ys]Lu#3k"!#D-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6%-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ(DEFAULT6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"y6"/%'familyGQ(DEFAULT6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#7-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"#q!""-%)BOUNDS_YG6#$"#]!""-%-BOUNDS_WIDTHG6#$"%!G$!""-%.BOUNDS_HEIGHTG6#$"%!G$!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"G6"
_________________________________________________________________________________ Exercise 7
plot(
[tan(Pi*x),cot(Pi*x),-1,1], # functions to plot
x=-4..4, # horizontal range
-2..2, # vertical range
scaling=constrained, # same scale on both axes
discont=true # skip over discontinuities
);
6.-%'CURVESG6,7gn7$$!#S!""$"0T*e'>(e)*[!#I7$$!2Q/"4B95*)R!#;$"1s"oi[F_U$!#<7$$!2a$pfH'='zR!#;$"1yK$*Q6w6k!#<7$$!2()RQlBa*oR!#;$"1^*>\?fVy*!#<7$$!2-;gH:>#eR!#;$"2(>?E.W<?8!#<7$$!1s-O"4Nv%R!#:$"2KEkkUBLm"!#<7$$!1$4-')fHw$R!#:$"2=))HUY"*[)>!#<7$$!2:`*fMIPFR!#;$"2xAVY'*y?K#!#<7$$!1;fV"oln"R!#:$"1$H$RF#ehn#!#;7$$!2FU)=YB>1R!#;$"16lGi[WNI!#;7$$!2:Fe7P;`*Q!#;$"2%*)\=d[m7M!#<7$$!2w()>m!ot&)Q!#;$"1xa^BcD_P!#;7$$!20w]d[_\(Q!#;$"1=")eVX)Q9%!#;7$$!1=SU$)Q7kQ!#:$"1\Wc@(\$[X!#;7$$!1%)4f=&)o`Q!#:$"1W**Q*oU,&\!#;7$$!2:x'f2A@WQ!#;$"11,#ebckK&!#;7$$!0Bcs&R%H$Q!#9$"1#H/UPC)*y&!#;7$$!1h*e6F)RBQ!#:$"1a=T"pQu>'!#;7$$!2/zS*oVH7Q!#;$"0)GA&pM6p'!#:7$$!1&)Q*R`lC!Q!#:$"1s!zQQTx9(!#;7$$!2BfqUu"o"z$!#;$"1F#*oLt^sw!#;7$$!2<*)4j-89y$!#;$"0$f?./A)>)!#:7$$!2X:xjp)pqP!#;$"1Kj\'>]sx)!#;7$$!03Zoff3w$!#9$"1C8tyV$*R$*!#;7$$!1=xy)zY-v$!#:$"1he\&=0X)**!#;7$$!2xfwU3B#RP!#;$"2mnnp(R6q5!#;7$$!0Z)Q3piHP!#9$"22Cu!H5'p8"!#;7$$!2CYLbxi#>P!#;$"2t=4'*f3X@"!#;7$$!206j@hb&3P!#;$"28!4))pFM,8!#;7$$!2%3dqT23)p$!#;$"2s%*\)4-)RR"!#;7$$!1o.$fwXzo$!#:$"24^IU9y?\"!#;7$$!2%=zH.EpwO!#;$"1$f:C\TDh"!#:7$$!2a.oh8"emO!#;$"2M$Q*f6EJt"!#;7$$!2.Wdn)\ybO!#;$"2<#Rr?1Yx=!#;7$$!2Q8o22-gk$!#;$"2Z:`TV#4D?!#;7$$!1#4&efnINO!#:$"2<`\]vv!4A!#;7$$!1TpE0LCDO!#:$"0\Ruv.!4C!#97$$!2Z">&e4CZh$!#;$"2.C4:ZwLl#!#;7$$!2%*H7fkRWg$!#;$"1,U7heiPH!#:7$$!2ctQ*zFn$f$!#;$"2v0NxWR%*H$!#;7$$!1>QL3II$e$!#:$"1kTN0NZLP!#:7$$!2B\G">%)psN!#;$"18n@$Q-@I%!#:7$$!2t#fFT;=iN!#;$"1fL%=Z]P0&!#:7$$!1:(fY"y^_N!#:$"117U-A*e+'!#:7$$!1i_zy>WTN!#:$"20JTeH4uj(!#;7$$!1(4i">c`JN!#:$"2*ob&=lhg+"!#:7$$!2k#>gtL(4_$!#;$"2$*fW*4()[::!#:7$$!2;IX_m=f^$!#;$"1JQ0JV$z*>!#97$$!1x'))o&R'3^$!#:$"2s[xa&\#)GH!#:7$$!2x]m'pz93N!#;$"2bi2Mqid!R!#:7$$!2&QVW#)>V0N!#;$"0iQuE_$fe!#87$$!1aK$)))R2/N!#:$"1*yM]o(z7y!#97$$!2%p@A&*fr-N!#;$"2wq\[0a><"!#97$$!1FmT)*p.-N!#:$"148Qj/ii:!#87$$!1&36;+e8]$!#:$"1U(4&oQ%RM#!#87$$!2MJ3K]=5]$!#;$"1r8!*\1EDJ!#87$$!2Da0[+z1]$!#;$"1Fh0_9)yo%!#87$$!2;x-k]R.]$!#;$"1jF@1Jmv$*!#87$$!+3+++N!"*$"1*e%o0N()yR!")7ao7$$!+$******\$!"*$!1E-(R-%GZX!")7$$!1G=%>$)=$*\$!#:$!1;^-RO*Hn%!#87$$!2dl$)3nP')\$!#;$!2()H]`7)\OB!#97$$!2N[D)4l&z\$!#;$!2$oEC'>cwb"!#97$$!16tw[`F(\$!#:$!29N6YmI#o6!#97$$!1n4lEI"f\$!#:$!1@;[EL(zy(!#97$$!1BY`/2b%\$!#:$!1z_nHGtSe!#97$$!2Z$>Igg#=\$!#;$!1n!QL)zM$*Q!#97$$!2kCpgT,"*[$!#;$!0*4]MA^>H!#87$$!0(QgF@l$[$!#9$!28n*Q%e!RX>!#:7$$!2M\Q"RG?yM!#;$!17-6sR/e9!#97$$!2#>aiX+soM!#;$!1yg0q%QV,"!#97$$!1XB6_sBfM!#:$!2Xc4hI4hw(!#;7$$!2Xh_fY3zV$!#;$!1`&QfHu71&!#:7$$!1(>`()HQkT$!#:$!2Me**4Lp8s$!#;7$$!1%o5b<q]R$!#:$!1,PeSN'G#H!#:7$$!2Yqa**=f_P$!#;$!0_IPp%y>C!#97$$!1b&3>1YZN$!#:$!16w#\")Qr.#!#:7$$!1%*)QbNJNL$!#:$!1^Z_7>aM<!#:7$$!2Vh,]o%Q7L!#;$!2G[GppKa\"!#;7$$!2%3y4NFj!H$!#;$!2(QH")zt\%H"!#;7$$!2Dq#y0OZrK!#;$!2tnh1)*=\9"!#;7$$!0L,S'\!*\K!#9$!1n&*>%\IS***!#;7$$!28`/$fxCGK!#;$!1aPlbG#)=()!#;7$$!2<s'fHqP2K!#;$!1lWr9skDw!#;7$$!2;RqvSC%)=$!#;$!1&\\i1vQs'!#;7$$!1OU%o!z)e;$!#:$!1l%>R-G4u&!#;7$$!1::hMlzYJ!#:$!1N-<D%H"p\!#;7$$!2yvI,t)eCJ!#;$!2:%*[Q\1q7%!#<7$$!1Kw>g5$\5$!#:$!20fd#\dM@M!#<7$$!16zq![jL3$!#:$!1aZ0dq]!o#!#;7$$!1NauWg#G1$!#:$!2)\l0@Tx**>!#<7$$!2M5P[Q(RTI!#;$!13?nm&>zI"!#;7$$!1)fPd=><-$!#:$!0tL5H#*Q$o!#;7$$!1Bkd*e$\+I!#:$!2o$=0I'e1b"!#>7$$!1(350;Y%yH!#:$"1c0$*)[1<y'!#<7$$!2lW&p3QDfH!#;$"2.DnEH<rG"!#<7$$!1wR%HaD&QH!#:$"2U*3Pq=lb>!#<7$$!1V/;;76<H!#:$"1)f&zq)GXm#!#;7$$!2#RP?v9;'*G!#;$"1/!)RT)\IQ$!#;7$$!1>DhB:*e(G!#:$"2(p\g,,O4T!#<7$$!2vg-$)>&Q`G!#;$"0zE#zB,i\!#:7$$!2_R-SEiJ$G!#;$"1&zx?lq1y&!#;7$$!21-Q^'*p:"G!#;$"0Kp>yJTs'!#:7$$!2cF?J8/?z#!#;$"1;i$**[Rkl(!#;7$$!169r5NhqF!#:$"1^N"QB*)>y)!#;7$$!2W&[.-m[]F!#;$"1Y%fh`s%p**!#;7$$!2bsiJ=[%HF!#;$"1U/'*\"\#Q6!#:7$$!2nNUKGz)3F!#;$"22B;(Hvg)H"!#;7$$!2F;_7bXto#!#;$"2n?z)=*y")\"!#;7$$!1\3+3ggmE!#:$"2K<M&=L"Gt"!#;7$$!1yxaHoRXE!#:$"1pdg'3H[.#!#:7$$!1"e+QFjVi#!#:$"10!y8+RzU#!#:7$$!2:]H0iN]g#!#;$"1M8v'y%p>H!#:7$$!2;Hc([R)Ge#!#;$"1Q&)oSyB`P!#:7$$!2kL]%H72jD!#;$"1_G>N-h!)\!#:7$$!1YxGQn%>a#!#:$"1r1a9DXWv!#:7$$!2yFa:KP=`#!#;$"10)*RB'[Y'**!#:7$$!2(43#[!zs@D!#;$"24'*zK"fqi9!#:7$$!12cOIfH;D!#:$"2(pC#yE-;&>!#:7$$!2ZS5f&R'3^#!#;$"2Fz:%>_#)GH!#:7$$!2M!Gooz93D!#;$"1&Rc^<jd!R!#97$$!1-_X")>V0D!#:$"12UgMLNfe!#97$$!2;STy)R2/D!#;$"1c\M(e*z7y!#97$$!1,wA%*fr-D!#:$"2#fx-%[a><"!#97$$!21q?u*p.-D!#;$"1&p'RF7ii:!#87$$!2.!Qh+!e8]#!#;$"1b#p)*eXRM#!#87$$!2/!p!Q+z1]#!#;$"2c$yvY$))yo%!#97$$!+2+++D!"*$"1"\_A*RGZX!")7ao7$$!+&******\#!"*$!1-bSOx>mj!")7$$!2L5RR$)=$*\#!#;$!1Tc%4M2In%!#87$$!12#yGnP')\#!#:$!1)*[?Y:]OB!#87$$!0J<=^cz\#!#9$!/:c9xld:!#67$$!2MTc2Nvs\#!#;$!2p&z]<:Bo6!#97$$!0iM'GI"f\#!#9$!1V(oo5xzy(!#97$$!2j#G^12b%\#!#;$!0b$R]\tSe!#87$$!1R#pA1E=\#!#:$!2Ne,3#*[L*Q!#:7$$!2DlD!=95*[#!#;$!20!H**eF^>H!#:7$$!1z%Q&H@l$[#!#:$!2Gw7]"3RX>!#:7$$!1080TG?yC!#:$!2"z=Y+T/e9!#:7$$!2&*H+v/?(oC!#;$!2MTZ7`QV,"!#:7$$!1%H\RDP#fC!#:$!12.%*f'4hw(!#:7$$!1\Uqn%3zV#!#:$!2N32CWu71&!#;7$$!20&*=/IQkT#!#;$!1@Sq3%p8s$!#:7$$!1l44x,2&R#!#:$!2Y`hzejG#H!#;7$$!28ub9>f_P#!#;$!0'z0EZy>C!#97$$!1RvKjguaB!#:$!2$[`)y$)Qr.#!#;7$$!0-toNJNL#!#9$!2n1E$H>aM<!#;7$$!1`6D'o%Q7B!#:$!2#)yK'4FV&\"!#;7$$!2%R.EOFj!H#!#;$!2[@&e*Q(\%H"!#;7$$!2vfoogt9F#!#;$!2y'\a))*=\9"!#;7$$!0&4+l\!*\A!#9$!1`+(pbIS***!#;7$$!2C_<-wZ#GA!#;$!19+91H#)=()!#;7$$!2(HiUIqP2A!#;$!10"GfDZci(!#;7$$!1*3C$3WU)=#!#:$!13Ej+^(Qs'!#;7$$!2xy2v!z)e;#!#;$!1kgj^!G4u&!#;7$$!2:q)>NlzY@!#;$!0@s"[%H"p\!#:7$$!18"H1t)eC@!#:$!2j%=<7l+FT!#<7$$!1cthg5$\5#!#:$!1Fr)RwX8U$!#;7$$!2`OT5[jL3#!#;$!2WA$Goq]!o#!#<7$$!2&Rn*\/EG1#!#;$!2FCn#HTx**>!#<7$$!2Fp-]Q(RT?!#;$!2<8j>d>zI"!#<7$$!1vW#e=><-#!#:$!1'[a%=B*Q$o!#<7$$!2tRy&*e$\+?!#;$!1CTDO'e1b"!#=7$$!2<(QUghWy>!#;$"1p/9;lq"y'!#<7$$!2=YK&3QDf>!#;$"2$)RsyH<rG"!#<7$$!2z2)pUb_Q>!#;$"2UY"Ry=lb>!#<7$$!2z))Ge@6r">!#;$"187&>))GXm#!#;7$$!2`Q)yu9;'*=!#;$"2&p,%f&)\IQ$!#<7$$!2\3;J_"*e(=!#;$"29dM)>,O4T!#<7$$!1[hr(>&Q`=!#:$"2vG(=-C,i\!#<7$$!2U/NLEiJ$=!#;$"10"\+oq1y&!#;7$$!2/I%Qk*p:"=!#;$"0Gaj"=8Cn!#:7$$!1#H)GKT+#z"!#:$"1_eRJ&Rkl(!#;7$$!1lQz4Nhq<!#:$"1M.([G*)>y)!#;7$$!23!o.,m[]<!#;$"1ryn)fs%p**!#;7$$!1=03#=[%H<!#:$"2c=lx:\#Q6!#;7$$!1uy2#Gz)3<!#:$"2%**QaRvg)H"!#;7$$!2Wa,+bXto"!#;$"2kyE;$*y")\"!#;7$$!2KFnm+1mm"!#;$"2FX.`L8Gt"!#;7$$!1l$H"GoRX;!#:$"0O7&4"H[.#!#97$$!1M!)HsKOC;!#:$"1sX#R.RzU#!#:7$$!2Pk\*=c.0;!#;$"1sX-M[p>H!#:7$$!1Fy3ZR)Ge"!#:$"2Y,o(>zB`P!#;7$$!1@EqF72j:!#:$"1Kh)oP51)\!#:7$$!2E`bktY>a"!#;$"1**\#z%GXWv!#:7$$!2oi"o>t$=`"!#;$"199W8#\Y'**!#:7$$!24s2H!zs@:!#;$"2"e&oC/1FY"!#:7$$!21zI%GfH;:!#;$"1#oT**\-;&>!#97$$!2/'Q&R&R'3^"!#;$"2lb#HZd#)GH!#:7$$!2aR:n'z93:!#;$"1DSl=Tw0R!#97$$!2-$pZz>V0:!#;$"2lnN*oaNfe!#:7$$!2xpde)R2/:!#;$"1;l'>R.G"y!#97$$!1l%QA*fr-:!#:$"2XL%QU`&><"!#97$$!2'[)Ga*p.-:!#;$"2y3HavAEc"!#97$$!2DB>')*zN,:!#;$"2:)RfK!\RM#!#97$$!2jh4=+z1]"!#;$"19VAO@!zo%!#87$$!+0+++:!"*$"1rx$\$z>mj!")7ao7$$!+(******\"!"*$!2WRtg*G.h5!")7$$!2&yj$f$)=$*\"!#;$!1=l%H/@In%!#87$$!2svs[nP')\"!#;$!2'*3nq'\]OB!#97$$!1O"4Q^cz\"!#:$!2$HC)GBfwb"!#97$$!2Z^XFNvs\"!#;$!2BK0/PK#o6!#97$$!1s#=1.8f\"!#:$!1b%es)3)zy(!#97$$!2#H5\32b%\"!#;$!1^C6rqtSe!#97$$!2PaOU1E=\"!#;$!2Yol#e)\L*Q!#:7$$!2#e?)*>95*["!#;$!2O#\[$G8&>H!#:7$$!2t3t98_O["!#;$!1TejX5RX>!#97$$!2j6kH%G?y9!#;$!1JN")GU/e9!#97$$!2(z^P\+so9!#;$!2ouQCfQV,"!#:7$$!2KC'ybsBf9!#;$!1X7x8+6mx!#:7$$!2E)eXp%3zV"!#;$!1`b())eu71&!#:7$$!2Oq%3-$QkT"!#;$!2#\%3k[p8s$!#;7$$!2cCr'y,2&R"!#;$!1X$R`jjG#H!#:7$$!2"yn&H>f_P"!#;$!2:S&QeZy>C!#;7$$!2P_YZ1YZN"!#;$!1'4V3')Qr.#!#:7$$!1Xr?e8`L8!#:$!2BPFh%>aM<!#;7$$!1#p+vo%Q78!#:$!2l4PBsKa\"!#;7$$!2.(GUPFj!H"!#;$!2%)[d$*R(\%H"!#;7$$!2<\azgt9F"!#;$!1^#Gk**=\9"!#:7$$!0d+g'\!*\7!#9$!1Y0u>1.%***!#;7$$!2M^I6wZ#G7!#;$!1liicH#)=()!#;7$$!2xtb7.xt?"!#;$!1_<9(HZci(!#;7$$!1(yx!4WU)="!#:$!13d,N^(Qs'!#;7$$!2"R8<3z)e;"!#;$!0l_$z!G4u&!#:7$$!2u)eyNlzY6!#;$!1tT<r%H"p\!#;7$$!2wYF6t)eC6!#;$!1HZ\Il+FT!#;7$$!2/3P51J\5"!#;$!1emrydM@M!#;7$$!1>[P"[jL3"!#:$!1u;^zq]!o#!#;7$$!2Q/[_/EG1"!#;$!2l#zZPTx**>!#<7$$!2BGo^Q(RT5!#;$!2#yUDx&>zI"!#<7$$!2:N6f=><-"!#;$!1>](eM#*Q$o!#<7$$!2<P!e*e$\+5!#;$!2a&oXU'e1b"!#>7$$!1klP.;Y%y*!#;$"0M]La1<y'!#;7$$!1sZp$3QDf*!#;$"2i`xII<rG"!#<7$$!1,=_CaD&Q*!#;$"0-7k)=lb>!#:7$$!1GL(\:76<*!#;$"1Ro5$*)GXm#!#;7$$!17.tVZhh*)!#;$"0L#[q)\IQ$!#:7$$!14l>E_"*e()!#;$"2P;k!Q,O4T!#<7$$!1*)oHr>&Q`)!#;$"2wvZ^U7?'\!#<7$$!1KpnEEiJ$)!#;$"1'R?!32n!y&!#;7$$!1-eIO'*p:")!#;$"0AR2&=8Cn!#:7$$!1(3jXJT+#z!#;$"1xa&GdRkl(!#;7$$!0>j()3Nhq(!#:$"1Dr#fL*)>y)!#;7$$!1ruQ+g'[](!#;$"1'G'>hEZp**!#;7$$!14J)*4=[%H(!#;$"2&G*pb;\#Q6!#;7$$!0"R84Gz)3(!#:$"2Kdr$\vg)H"!#;7$$!1o#4v[bM(o!#;$"2=OuV%*y")\"!#;7$$!1tpL`+1mm!#;$"2-ts?N8Gt"!#;7$$!1C&4rEoRX'!#;$"20%*=C8H[.#!#;7$$!0([&zqKOC'!#:$"1K6Zm!RzU#!#:7$$!1jypthN]g!#;$"2'4yH")[p>H!#;7$$!0j$>a%R)Ge!#:$"1#[Z))*zB`P!#:7$$!01\&fArIc!#:$"1=%z&=0h!)\!#:7$$!1(>LiMn%>a!#;$"1"H48=`Wa(!#:7$$!1h(*3yJP=`!#;$"1yH[.)\Y'**!#:7$$!1Ej%*4!zs@&!#;$"2X:d;<1FY"!#:7$$!1Y(f\EfH;&!#;$"2-*31KFg^>!#:7$$!1kJ(*>&R'3^!#;$"2bTp^FE)GH!#:7$$!1t)zukz93&!#;$"17A:i]w0R!#97$$!1#e')\x>V0&!#;$"1`)oKgd$fe!#97$$!1O*R(Q)R2/&!#;$"1Y;f'>2G"y!#97$$!1"H$\-*fr-&!#;$"2zAU2?c><"!#97$$!1o*pV$*p.-&!#;$"0OkMGCEc"!#77$$!1YmCm*zN,&!#;$"2XXG`Z_RM#!#97$$!1BL7)***y1]!#;$"2NSsd#f"zo%!#97$$!*.+++&!"*$"2m*[k[H.h5!")7ao7$$!2.+++*******\!#<$!2mR)>8*)4$=$!")7$$!0aO$z$)=$*\!#:$!10#H]uMIn%!#87$$!03t'onP')\!#:$!1)QSzQ3lL#!#87$$!0i4!e^cz\!#:$!2%\n?^2md:!#97$$!0;Yta`F(\!#:$!2G(QIBKBo6!#97$$!0C>gKI"f\!#:$!0.^wm%)zy(!#87$$!2%>Bp/r]X\!#<$!1UI$=>R2%e!#97$$!1z%Q?mg#=\!#;$!1p+t&z]L*Q!#97$$!2%QYQ>U,"*[!#<$!2(eq(z!Q^>H!#:7$$!2v&p2M8_O[!#<$!2B)*eiF"RX>!#:7$$!2mFp([%G?y%!#<$!23?lrNW!e9!#:7$$!1*f+D^+so%!#;$!2@4IOlQV,"!#:7$$!1A>BwDP#f%!#;$!1w@gn.6mx!#:7$$!1k^27Z3zV!#;$!1JSMNZFh]!#:7$$!2wc/v.$QkT!#<$!2(zG6k&p8s$!#;7$$!1j_^-=q]R!#;$!2b;<FojG#H!#;7$$!2(\"yX%>f_P!#<$!2&[Gr!z%y>C!#;7$$!2'y]lh1YZN!#<$!2d$3!Q))Qr.#!#;7$$!11FT&f8`L$!#;$!1%oGH'>aM<!#:7$$!11B]()o%Q7$!#;$!27ST]tKa\"!#;7$$!17S&eQFj!H!#;$!1i(H"4u\%H"!#:7$$!1hQS!4OZr#!#;$!1P:J/!>\9"!#:7$$!20!>+q'\!*\#!#<$!1Q5^#oIS***!#;7$$!1X]V?wZ#G#!#;$!1GD62I#)=()!#;7$$!2%fC&3KqP2#!#<$!17aNQtkDw!#;7$$!1X[J)4WU)=!#;$!17))Rp^(Qs'!#;7$$!2&3*[$)3z)e;!#<$!1a#pq5G4u&!#;7$$!1O2tj`'zY"!#;$!2V:wT\H"p\!#<7$$!2^AeiJ()eC"!#<$!1>w")[l+FT!#;7$$!2`/oXh5$\5!#<$!1%=YMzX8U$!#;7$$!1,t#3<[jL)!#<$!2'R,u!420o#!#<7$$!1%yM*\Xg#G'!#<$!2cg)oXTx**>!#<7$$!1$=(QL&Q(RT!#<$!1=aa#e>zI"!#;7$$!2_#G#)*f=><#!#=$!1McHtB*Q$o!#<7$$!1B8YBe*e$\!#>$!18+m['e1b"!#=7$$"2c*e&[(RQb@!#=$"0Dg0d1<y'!#;7$$"1e2Nz">Y2%!#<$"2(yEG3t6(G"!#<7$$"1&yr$zdWZh!#<$"2YeKW*=lb>!#<7$$"1YAU$[y))G)!#<$"2(oCE/*GXm#!#<7$$"2"HKUg_QQ5!#<$"1&\C]))\IQ$!#;7$$"2.$ywyZ3T7!#<$"2:v$Hc,O4T!#<7$$"2ZqnX.[hY"!#<$"2cB3"[C,i\!#<7$$"2%yl**ztPo;!#<$"1&p"*ftq1y&!#;7$$"/9Br.I%)=!#9$"1oT7&)=8Cn!#;7$$"2%\nv$pe*z?!#<$"18^J9'Rkl(!#;7$$"22F7/#\'QH#!#<$"1:R)pQ*)>y)!#;7$$"2_1$f4S8&\#!#<$"1'p9Pss%p**!#;7$$"2W'*Q3?=bq#!#<$"2=nuL<\#Q6!#;7$$"1>4^-s?6H!#;$"2cC*>fvg)H"!#;7$$"2:"p*\_Wl7$!#<$"1R>7d*y")\"!#:7$$"2%)y)**f*RRL$!#<$"2/,U)oL"Gt"!#;7$$"1/Y2Z<.YN!#;$"1GbKb"H[.#!#:7$$"20gqqInjv$!#<$"1*p<!*4RzU#!#:7$$"1825UQk\R!#;$"2B0r&G\p>H!#;7$$"185\i0;rT!#;$"2(ep#z2QKv$!#;7$$"1#4Gzv(GpV!#;$"1CFFg1h!)\!#:7$$"1O*)3sE`!e%!#;$"0p$p9NXWv!#97$$"2tuO1%oi"o%!#<$"1,Z_$R]Y'**!#:7$$"2%eX=45s#y%!#<$"2")yX3I1FY"!#:7$$"2'=%)Qa2/P[!#<$"2d>!=kHg^>!#:7$$"2%zAf*\g8*[!#<$"2&fl/.o#)GH!#:7$$"2&4U>s._=\!#<$"2Y&3l0gw0R!#:7$$"09'zW-oX\!#:$"1NPgP(f$fe!#97$$"10r4"=g#f\!#;$"1;1A,5"G"y!#97$$"02)R<,%G(\!#:$"2'R95fq&><"!#97$$"1`&[b3I'z\!#;$"2:*G]6eii:!#97$$"2b.*p`+U')\!#<$"1sP2=f&RM#!#87$$"1=&\=-5K*\!#;$"2%>;S:(Hzo%!#97$$"2.+++*******\!#<$"2mR)>8*)4$=$!")7ao7$$"*.+++&!"*$!2m*[k[H.h5!")7$$"19ijS;"o+&!#;$!2'Qv%H/@In%!#97$$"1GCF^Ki8]!#;$!1Xt1n\]OB!#87$$"1T'3>'[V?]!#;$!1*[#)GBfwb"!#87$$"1b[askCF]!#;$!2XB0/PK#o6!#97$$"1$G<Qpp3/&!#;$!0$zD()3)zy(!#87$$"0r*3:H\a]!#:$!1fC6rqtSe!#97$$"1lXjd$R<3&!#;$!1@cEe)\L*Q!#97$$"0Uz,!e)*3^!#:$!1p[[$G8&>H!#97$$"08p_oyM;&!#:$!2O$ejX5RX>!#:7$$"1Q)e.drz@&!#;$!1AN")GU/e9!#97$$"1/#[i]*z7`!#;$!2$\(QCfQV,"!#:7$$"1pv8Uui2a!#;$!1h7x8+6mx!#:7$$"1v6W0`"4i&!#;$!1[b())eu71&!#:7$$"1mH:zphNe!#;$!1Y%3k[p8s$!#:7$$"1WvG8#)H\g!#;$!0NR`jjG#H!#97$$"1>AVq!3uC'!#;$!2PS&QeZy>C!#;7$$"1kZ`_$RDX'!#;$!2D4V3')Qr.#!#;7$$"1[&GzT'okm!#;$!2_PFh%>aM<!#;7$$"1#3$*\7`h(o!#;$!1'4PBsKa\"!#:7$$"1)HrdisO4(!#;$!2#)[d$*R(\%H"!#;7$$"1$3b/#RE&G(!#;$!2=DGk**=\9"!#;7$$"1*H%**R.&4](!#;$!0bS(>1.%***!#:7$$"1m[p)QAvr(!#;$!1piicH#)=()!#;7$$"1BEW(oHi#z!#;$!1a<9(HZci(!#;7$$"1J@A4fv:")!#;$!17d,N^(Qs'!#;7$$"14mG=47T$)!#;$!1`ENz!G4u&!#;7$$"1E69UY.K&)!#;$!1wT<r%H"p\!#;7$$"1C`s)o7Tv)!#;$!1JZ\Il+FT!#;7$$"1'>H'*Q*o]*)!#;$!0m;(ydM@M!#:7$$"14=D'=lj;*!#;$!29o6&zq]!o#!#<7$$"1j&>vaR<P*!#;$!1HzZPTx**>!#;7$$"1xrJ[h-'e*!#;$!22Gasd>zI"!#<7$$"1&[')393Gy*!#;$!1W](eM#*Q$o!#<7$$"1#G'>/T1&***!#;$!2XadCke1b"!#>7$$"2OMi'RQb@5!#;$"1:.NVlq"y'!#<7$$"1B0j">Y2/"!#:$"2(Qv2.t6(G"!#<7$$"2*>yadWZh5!#;$"2"=?T')=lb>!#<7$$"2tm-Xy))G3"!#;$"1To5$*)GXm#!#;7$$"2(opiD&QQ5"!#;$"1FB[q)\IQ$!#;7$$"2"\.Qx%3T7"!#;$"1iT1Q,O4T!#;7$$"26JqG![hY6!#;$"2VvZ^U7?'\!#<7$$"12BLPx$o;"!#:$"1*R?!32n!y&!#;7$$"2)>%pj.I%)="!#;$"1<#R2&=8Cn!#;7$$"28pV&oe*z?"!#;$"1ta&GdRkl(!#;7$$"26oB6\'QH7!#;$"1Gr#fL*)>y)!#;7$$"2HDh**R8&\7!#;$"1$G'>hEZp**!#;7$$"2"*o,!>=bq7!#;$"2y#*pb;\#Q6!#;7$$"14m3>27"H"!#:$"2Bdr$\vg)H"!#;7$$"2K2\7XaEJ"!#;$"2BOuV%*y")\"!#;7$$"2FImY*RRL8!#;$"2rss?N8Gt"!#;7$$"2w/*GtJga8!#;$"29%*=C8H[.#!#;7$$"2H^/#Hnjv8!#;$"1E6Zm!RzU#!#:7$$"2O@IEQk\R"!#;$"2.!yH")[p>H!#;7$$"1P1eag6<9!#:$"1zu%))*zB`P!#:7$$"1%4XSxGpV"!#:$"17%z&=0h!)\!#:7$$"2-ow`E`!e9!#;$"2&R#48=`Wa(!#;7$$"2R-">#oi"o9!#;$"1wH[.)\Y'**!#:7$$"2vO0!*4s#y9!#;$"2T:d;<1FY"!#:7$$"2d-/N2/P["!#;$"2m!41KFg^>!#:7$$"2Qo-![g8*["!#;$"2)*[p^FE)GH!#:7$$"2G,__._=\"!#;$"2'3A:i]w0R!#:7$$"2=M,D-oX\"!#;$"1@*oKgd$fe!#97$$"2k+Eh,Ef\"!#;$"1K;f'>2G"y!#97$$"1r1v4SG(\"!#:$"2_DU2?c><"!#97$$"2K+jl+jz\"!#;$"2<>kMGCEc"!#97$$"2aLvL+U')\"!#;$"2v>G`Z_RM#!#97$$"2ym(=+5K*\"!#;$"1HLxDf"zo%!#87$$"+(******\"!"*$"2WRtg*G.h5!")7ao7$$"+0+++:!"*$!1rx$\$z>mj!")7$$"2n*31m6o+:!#;$!16n%4M2In%!#87$$"2Nz@rKi8]"!#;$!2c>/ia,lL#!#97$$"2.p#=)[V?]"!#;$!2y=hXrdwb"!#97$$"2oeV#\Ys-:!#;$!2D!z]<:Bo6!#97$$"2-Ql8(p3/:!#;$!0/po5xzy(!#87$$"2P<([$H\a]"!#;$!1<PR]\tSe!#97$$"21wIx$R<3:!#;$!2Cz,3#*[L*Q!#:7$$"2vMu>e)*3^"!#;$!1UH**eF^>H!#97$$"27_h/(yM;:!#;$!1"y7]"3RX>!#97$$"2_p[*erz@:!#;$!21(=Y+T/e9!#:7$$"20q*\_*z7`"!#;$!2'=uCJ&QV,"!#:7$$"2eq]gui2a"!#;$!1"RS*f'4hw(!#:7$$"29v&HK:4i:!#;$!1vqSUWFh]!#:7$$"2)\5e*phNe"!#;$!2_,/(3%p8s$!#;7$$"2_.4H#)H\g"!#;$!1J:'zejG#H!#:7$$"2&eUa33uC;!#;$!1jz0EZy>C!#:7$$"21Ysm$RDX;!#;$!2aN&)y$)Qr.#!#;7$$"2-)p7V'okm"!#;$!2*ogKH>aM<!#;7$$"1Z)[PJ:wo"!#:$!2(*yK'4FV&\"!#;7$$"21mRPEn$4<!#;$!1;_e*Q(\%H"!#:7$$"2GSJJRE&G<!#;$!2p'\a))*=\9"!#;7$$"2'\!**\.&4]<!#;$!1z+(pbIS***!#;7$$"2wZ#yRAvr<!#;$!1@+91H#)=()!#;7$$"2.xt&pHi#z"!#;$!18"GfDZci(!#;7$$"24"fn"fv:"=!#;$!1:Ej+^(Qs'!#;7$$"2D@#\#47T$=!#;$!1dgj^!G4u&!#;7$$"2()H,[Y.K&=!#;$!1/A<[%H"p\!#;7$$"2t)3Pp7Tv=!#;$!1T=<7l+FT!#;7$$"2Rk#QR*o]*=!#;$!298()RwX8U$!#<7$$"2Zje*=lj;>!#;$!1HKGoq]!o#!#;7$$"20E.]&R<P>!#;$!1[sEHTx**>!#;7$$"2tI(*\h-'e>!#;$!2n8j>d>zI"!#<7$$"2`_vT"3Gy>!#;$!1ZWX=B*Q$o!#<7$$"2Fg@/T1&**>!#;$!19YDO'e1b"!#=7$$"2'GhdRQb@?!#;$"1309;lq"y'!#<7$$"1QvY">Y2/#!#:$"1$RsyH<rG"!#;7$$"1A>IdWZh?!#:$"1f9Ry=lb>!#;7$$"176<%y))G3#!#:$"137&>))GXm#!#;7$$"2Zh6__QQ5#!#;$"2X;Sf&)\IQ$!#<7$$"1:R)oZ3T7#!#:$"1nX$)>,O4T!#;7$$"2B&QG-[hY@!#;$"1$H(=-C,i\!#;7$$"1c\mOx$o;#!#:$"1)4\+oq1y&!#;7$$"2'*p:c.I%)=#!#;$"1uUN;=8Cn!#;7$$"13<rne*z?#!#:$"1heRJ&Rkl(!#;7$$"1Nh?!\'QHA!#:$"1D.([G*)>y)!#;7$$"2#*>j*)R8&\A!#;$"1iyn)fs%p**!#;7$$"2<[>z"=bqA!#;$"2B=lx:\#Q6!#;7$$"1E@#zr?6H#!#:$"1)*QaRvg)H"!#:7$$"2cX)**\Wl7B!#;$"2[yE;$*y")\"!#;7$$"1FFL$*RRLB!#:$"2.X.`L8Gt"!#;7$$"1N1(=<.YN#!#:$"1dB^4"H[.#!#:7$$"2j'>qFnjvB!#;$"2YdCR.RzU#!#;7$$"2lN]5Qk\R#!#;$"2adCS$[p>H!#;7$$"1t@"H0;rT#!#:$"12!o(>zB`P!#:7$$"1ztHs(GpV#!#:$"1>h)oP51)\!#:7$$"2wYWNE`!eC!#;$"1A]#z%GXWv!#:7$$"2OP=.oi"oC!#;$"0XTM@\Y'**!#97$$"1zA4(4s#yC!#:$"2yaoC/1FY"!#:7$$"2'4#p:2/P[#!#;$"2OmT**\-;&>!#:7$$"2'Rh/Yg8*[#!#;$"2Y^#HZd#)GH!#:7$$"2Yg%GL?&=\#!#;$"21&Rl=Tw0R!#:7$$"2'pI_?!oX\#!#;$"14b$*oaNfe!#97$$"2BIUT,Ef\#!#;$"1<i'>R.G"y!#97$$"1N:w2SG(\#!#:$"2tE%QU`&><"!#97$$"29:rX+jz\#!#;$"1o*GavAEc"!#87$$"2yw!Q,?k)\#!#;$"2Br$fK!\RM#!#97$$"2PQ!>)*4K*\#!#;$"2tBBi8-zo%!#97$$"+&******\#!"*$"1-bSOx>mj!")7ao7$$"+2+++D!"*$!1"\_A*RGZX!")7$$"1s"e!o6o+D!#:$!0sE!RO*Hn%!#77$$"2VM;"HBO,D!#;$!2Y=^`7)\OB!#97$$"2l^u,\V?]#!#;$!2o%GC'>cwb"!#97$$"1*oK7lCF]#!#:$!2Gd6YmI#o6!#97$$"1L!\L(p3/D!#:$!1n?[EL(zy(!#97$$"1x`Y&H\a]#!#:$!2'HbnHGtSe!#:7$$"2`1)pRR<3D!#;$!1W!QL)zM$*Q!#97$$"2OvIRe)*3^#!#;$!2G0,XB7&>H!#:7$$"08'RsyM;D!#9$!1*p*Q%e!RX>!#97$$"2m]h3;(z@D!#;$!2lC5@(R/e9!#:7$$"23euV&*z7`#!#;$!2\4c+ZQV,"!#:7$$"1bw)yui2a#!#:$!1a&4hI4hw(!#:7$$"2bQZS`"4iD!#;$!2:dQfHu71&!#;7$$"1.oC,<c$e#!#:$!2af**4Lp8s$!#;7$$"1;$*[C)H\g#!#:$!2&3PeSN'G#H!#;7$$"2aHX+"3uCE!#;$!1D0t$p%y>C!#:7$$"1X94QRDXE!#:$!1:w#\")Qr.#!#:7$$"116YW'okm#!#:$!1aZ_7>aM<!#:7$$"2dQ)*\J:wo#!#;$!2_[GppKa\"!#;7$$"2;>-\En$4F!#;$!24%H")zt\%H"!#;7$$"2vH<URE&GF!#;$!2*y;m!)*=\9"!#;7$$"0n)*f.&4]F!#9$!1$e*>%\IS***!#;7$$"2(oapSAvrF!#;$!1mPlbG#)=()!#;7$$"2$yKSqHi#z#!#;$!1wWr9skDw!#;7$$"2%3'HCfv:"G!#;$!10&\i1vQs'!#;7$$"1kd:$47T$G!#:$!1u%>R-G4u&!#;7$$"1&[)QlM?`G!#:$!2XCq^UH"p\!#<7$$"2ACp)p7TvG!#;$!2/&*[Q\1q7%!#<7$$"1oB!)R*o]*G!#:$!1)fd#\dM@M!#;7$$"1*3#H>lj;H!#:$!1jZ0dq]!o#!#;7$$"1lXDbR<PH!#:$!2tbc57u(**>!#<7$$"2m*G;:EgeH!#;$!2c,smc>zI"!#<7$$"1-CE93GyH!#:$!1/Q."H#*Q$o!#<7$$"1xNU5k]**H!#:$!29d_+je1b"!#>7$$"18**[RQb@I!#:$"1$[I*)[1<y'!#<7$$"2Nb/8>Y2/$!#;$"2GCnEH<rG"!#<7$$"1Cg0dWZhI!#:$"2n)3Pq=lb>!#<7$$"1d&RQy))G3$!#:$"2%*e&zq)GXm#!#<7$$"23E'zC&QQ5$!#;$"1'*zRT)\IQ$!#;7$$"1"[(Qw%3T7$!#:$"0'\g,,O4T!#:7$$"2DR(p,[hYJ!#;$"21yE#zB,i\!#<7$$"2[g(*ftPo;$!#;$"1&yx?lq1y&!#;7$$"2%z>'[.I%)=$!#;$"0Jp>yJTs'!#:7$$"2Wszo'e*z?$!#;$"10i$**[Rkl(!#;7$$"1*e)G*['QHK!#:$"1RN"QB*)>y)!#;7$$"2c9lzR8&\K!#;$"1L%fh`s%p**!#;7$$"2XFPo"=bqK!#;$"2,Wg*\"\#Q6!#;7$$"2Lkdnr?6H$!#;$"2&GirHvg)H"!#;7$$"2t$yu[Wl7L!#;$"2X?z)=*y")\"!#;7$$"1^"**>*RRLL!#:$"2.<M&=L"Gt"!#;7$$"1AAXqJgaL!#:$"2Yw0m3H[.#!#;7$$"1>%*>EnjvL!#:$".y8+RzU#!#77$$"2&)\q%zV'\R$!#;$"2lK^ny%p>H!#;7$$"2%3PC^g6<M!#;$"2j_)oSyB`P!#;7$$"2Om\0xGpV$!#;$"1MG>N-h!)\!#:7$$"1aArhK0eM!#:$"0jSX^_Wa(!#97$$"2AsX%yE;oM!#;$"1K(*RB'[Y'**!#:7$$"2.>z^4s#yM!#;$"1X*zK"fqi9!#97$$"1$RM'pSq$[$!#:$"2<WAyE-;&>!#:7$$"2`f*3Wg8*[$!#;$"11eT>_#)GH!#97$$"2m><8._=\$!#;$"1>k:vJw0R!#97$$"1)zW&=!oX\$!#:$"0E/YL`$fe!#87$$"2%)fe@,Ef\$!#;$"14XM(e*z7y!#97$$"1*Rsd+%G(\$!#:$"2/yFS[a><"!#97$$"2%*HzD+jz\$!#;$"2d^'RF7ii:!#97$$"2(*>'Q**>k)\$!#;$"28&)o)*eXRM#!#97$$"2'*4$>'*4K*\$!#;$"2(oUvY$))yo%!#97$$"+$******\$!"*$"1E-(R-%GZX!")7gn7$$"+3+++N!"*$!1*e%o0N()yR!")7$$"10%G&)eS.]$!#:$!1([AJ^ueM*!#87$$"2'4o0p6o+N!#;$!1*)p4)y')Hn%!#87$$"2X@&e\<-,N!#;$!1h)prxI`6$!#87$$"2%>O6IBO,N!#;$!2:rG\T'\OB!#97$$"2#H/<"\V?]$!#;$!2k,&3Pald:!#97$$"1RsA_Ys-N!#:$!1ET;Q-Bo6!#87$$"2(e3Mup3/N!#;$!02"HO9(zy(!#87$$"2$yWX'H\a]$!#;$!1%z<$p<tSe!#97$$"2wr"oSR<3N!#;$!1;kg9vM$*Q!#97$$"2l&*3\e)*3^$!#;$!2<AbA(>^>H!#:7$$"16gl")*Rc^$!#:$!1uZpfPfL?!#97$$"1lISy8Q?N!#:$!1:9J"GL'f:!#97$$"2:gh9xX5`$!#;$!2k.%\s!R?-"!#:7$$"0%)R]&3yTN!#9$!1y-#QIbZd(!#:7$$"1G(Rm"\Y_N!#:$!1\SdA*e?,'!#:7$$"12zR4/PiN!#:$!1X;4$=e!Q]!#:7$$"2)o/StpisN!#;$!1*y&)4F&[1V!#:7$$"2U3klKMKe$!#;$!0DCkX*pOP!#97$$"2vd6=m2Qf$!#;$!1RY:K(4WH$!#:7$$"2)G<uOOo/O!#;$!2bNN"H6EIH!#;7$$"2E7!Q,KE9O!#;$!2CW2$GM1lE!#;7$$"2)R#\A_Z]i$!#;$!1&>**eZ%>8C!#:7$$"1#)fdCh(ej$!#:$!2xT%4![*f)>#!#;7$$"2j,4%*[6jk$!#;$!2Nmc&fO9??!#;7$$"2(GKS+yybO!#;$!1NgmC1Ux=!#:7$$"0xV20cqm$!#9$!27Jeh+ors"!#;7$$"1R5%ot,mn$!#:$!2)eO)RspNh"!#;7$$"2-@f!Rcq(o$!#;$!26*z,WZ^%\"!#;7$$"2`61SZMvp$!#;$!2GA!foK/*R"!#;7$$"13%HPE=$3P!#:$!2Yn2(HJN.8!#;7$$"2&3,p")pe=P!#;$!2>&)fM&ox>7!#;7$$"2d%Gi68IHP!#;$!2%4Y#e#*3$R6!#;7$$"20#H:6/9RP!#;$!2@]w*z7nq5!#;7$$"2BG7#4Kv\P!#;$!1VbsN=b,5!#:7$$"2ESBP#pxgP!#;$!1U&y(3&)zW$*!#;7$$"23`6'*4t.x$!#;$!1MV%exv`z)!#;7$$"1QlYKst!y$!#:$!1aX`jByL#)!#;7$$"2(*)o$eRW9z$!#;$!1C-)p5qVo(!#;7$$"2=H%Hm#>>!Q!#;$!1oQw4Eqtr!#;7$$"1K'p?Ca?"Q!#:$!1*RW1[h?q'!#;7$$"293-ZS2L#Q!#;$!06)4n/R,i!#:7$$"1l>$=()=M$Q!#:$!1&[x$>-#*pd!#;7$$"0cU7-:U%Q!#9$!1#e")[3VjK&!#;7$$"2l'=BPz*R&Q!#;$!2NLBy)e/Q\!#<7$$"13\T[KpkQ!#:$!0E:9szn_%!#:7$$"2%fIt-nvuQ!#;$!2Xs/AF$4^T!#<7$$"2b3[@"fF&)Q!#;$!1Kd!3m#yoP!#;7$$"1,x3i.c&*Q!#:$!1Cd1&=4TS$!#;7$$"1k71GsK1R!#:$!1"z6Pe<3.$!#;7$$"28=m'**pp;R!#;$!2b+SJfq%yE!#<7$$"13:())e,t#R!#:$!2xrA"[YWCB!#<7$$"1tSsm$=y$R!#:$!0y>4AG(y>!#:7$$"1&GSL>#[ZR!#:$!2(yq@"HJ]m"!#<7$$"1QZ?H!e&eR!#:$!1J+DjUM48!#;7$$"1.z$))Qk%oR!#:$!1b1slhuR**!#<7$$"1u!)RMm-zR!#:$!1Ca2#)*G&)f'!#<7$$"2MK660O"*)R!#;$!1b5H]gL9M!#<7$$"#S!""$!0T*e'>(e)*[!#I-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6+7ao7$$!+#*******R!"*$"2wAv-Ot)yR!"*7$$!2/>V4$)=$**R!#;$"1%)\4)y')Hn%!#87$$!21Q'))pwj)*R!#;$"0@G\T'\OB!#77$$!23dH)3l&z*R!#;$"2Oz%3Pald:!#97$$!1hFxZ`F(*R!#:$"22+k"Q-Bo6!#97$$!289fc-8f*R!#;$"180HO9(zy(!#97$$!2<_XNq]X*R!#;$"2/[<$p<tSe!#:7$$!1$G=$fg#=*R!#:$"1Ylg9vM$*Q!#97$$!1W54:95*)R!#:$"2YHbA(>^>H!#:7$$!1mljE@l$)R!#:$"2tCy!p/RX>!#:7$$!2y3#=QG?yR!#;$"2`TMz!R/e9!#:7$$!1zzoW+soR!#:$"2(3/YR%QV,"!#:7$$!20(Q>^sBfR!#;$"1AT>H"4hw(!#:7$$!2xzw]Y3z$R!#;$"1%Q/FAu71&!#:7$$!2.K?zHQk"R!#;$"1mt9#Hp8s$!#:7$$!2Ma?Z<q]*Q!#;$"1(z%*o^jG#H!#:7$$!1'=/#*=f_(Q!#:$"21zmvn%y>C!#;7$$!2F1*>hguaQ!#;$"23t[M!)Qr.#!#;7$$!28$=([NJN$Q!#;$"1(4CT!>aM<!#:7$$!2Z%oP%o%Q7Q!#;$"2*Gjd!pKa\"!#;7$$!2Fa;XtK1z$!#;$"2)*zE\P(\%H"!#;7$$!2bvR_gt9x$!#;$"1O+sw*=\9"!#:7$$!2-_,N'\!*\P!#;$"16V"GYIS***!#;7$$!2c.[)exCGP!#;$"0h5/$G#)=()!#:7$$!1n>=HqP2P!#:$"1=w5%>Zci(!#;7$$!1VN>2WU)o$!#:$"1dz0\](Qs'!#;7$$!0Y7l!z)em$!#9$"1[615!G4u&!#;7$$!1AzJMlzYO!#:$"1V#pOTH"p\!#;7$$!0e"))H()eCO!#9$"/vo%[1q7%!#97$$!2&px)*f5$\g$!#;$"2n"G*=uX8U$!#<7$$!1%=T0[jLe$!#:$"2b^S9020o#!#<7$$!2Ly>Y/EGc$!#;$"2B@^p6u(**>!#<7$$!2$3Vv%Q(RTN!#;$"2#Gk-k&>zI"!#<7$$!2'fTp&=><_$!#;$"1'[BtF#*Q$o!#<7$$!1Oad*e$\+N!#:$"2#\-&pie1b"!#>7$$!2Z>`0;Y%yM!#;$!1)oD`Z1<y'!#<7$$!1Rpx3QDfM!#:$!1"ok+H<rG"!#;7$$!2Y#p1Vb_QM!#;$!2Kigj'=lb>!#<7$$!22AEj@6rT$!#;$!1vx@l)GXm#!#;7$$!1;9Tv9;'R$!#:$!1Fp7M)\IQ$!#;7$$!2atgQ_"*eP$!#;$!1/-\#4g$4T!#;7$$!1Pef)>&Q`L!#:$!2WdYxO7?'\!#<7$$!202OVEiJL$!#;$!1r@4Q1n!y&!#;7$$!20)[^l*p:J$!#;$!1ioxk<8Cn!#;7$$!2tEON8/?H$!#;$!10k?p%Rkl(!#;7$$!1%=q6^81F$!#:$!1o^G3#*)>y)!#;7$$!1")Q`-m[]K!#:$!1i-!\]s%p**!#;7$$!1HQq$=[%HK!#:$!2(p!eg9\#Q6!#;7$$!1)fCQGz)3K!#:$!2BR-[_2')H"!#;7$$!29Zx=bXt=$!#;$!2)=a]7*y")\"!#;7$$!1Pwm3ggmJ!#:$!1N&\,J8Gt"!#:7$$!2W)pDIoRXJ!#;$!2A[_^2H[.#!#;7$$!2W&=buKOCJ!#;$!2Nt/^)*QzU#!#;7$$!0V>8iN]5$!#9$!1:Z6jZp>H!#:7$$!1C0f\R)G3$!#:$!12)[6!yB`P!#:7$$!1%>C.BrI1$!#:$!1:iMk,h!)\!#:7$$!1_Q?Rn%>/$!#:$!1=&[yM_Wa(!#:7$$!1.1\At$=.$!#:$!1s!z$G$[Y'**!#:7$$!1atx0zs@I!#:$!2%*o&o[eqi9!#:7$$!2b,L8$fH;I!#;$!2V)Gw^@g^>!#:7$$!2tn))o&R'3,$!#;$!2%HtZb\#)GH!#:7$$!13lmpz93I!#:$!1XtS.Fw0R!#97$$!1RVW#)>V0I!#:$!2%))zVnANfe!#:7$$!2WDL)))R2/I!#;$!1oO.&o(z7y!#97$$!0<A_*fr-I!#9$!2aX\[0a><"!#97$$!2vi;%)*p.-I!#;$!2/'3Qj/ii:!#97$$!2_36;+e8+$!#;$!1L(3&oQ%RM#!#87$$!2Da0[+z1+$!#;$!1$*f0_9)yo%!#87$$!+3+++I!"*$!1J1*f\t)yR!")7ao7$$!+%*******H!"*$"1rpO![k^I&!")7$$!2cYSH$)=$**H!#;$"2XLv**[+In%!#97$$!1J4)=nP')*H!#:$"29'exN)*\OB!#97$$!2mR@3^cz*H!#;$"19<Sbpld:!#87$$!2B'=w\`F(*H!#;$"2%)\f54J#o6!#97$$!2PzUw-8f*H!#;$"1,en;_(zy(!#97$$!1DP_02b%*H!#:$"1wY.!*QtSe!#97$$!2ue&Ghg#=*H!#;$"0(*p?X[L*Q!#87$$!2(\u/<95*)H!#;$"1Oqu'\7&>H!#97$$!2V<r&G@l$)H!#;$"1W7q*p!RX>!#97$$!1**[4SG?yH!#:$"2X,'GOS/e9!#:7$$!1fGcY+soH!#:$"2$\<l+&QV,"!#:7$$!2$>3.`sBfH!#;$"10\-$[4hw(!#:7$$!2<VGoY3z$H!#;$"1=G<pVFh]!#:7$$!2O2'e*HQk"H!#;$"2A!=&)p$p8s$!#;7$$!2Y#3Iw,2&*G!#;$"2:isUcjG#H!#;7$$!1B_q!>f_(G!#:$"2nB%*)4Zy>C!#;7$$!1Z!=E1YZ&G!#:$"1#[1k#)Qr.#!#:7$$!1df?c8`LG!#:$"2aSD4#>aM<!#;7$$!1%QEco%Q7G!#:$"2sj!G.FV&\"!#;7$$!2P2zctK1z#!#;$"1t!*p%Q(\%H"!#:7$$!0lDjgt9x#!#9$"2DK.Y)*=\9"!#;7$$!09,X'\!*\F!#9$"1$z%eD0.%***!#;7$$!2m-h(fxCGF!#;$"1mo*3)G#)=()!#;7$$!2dZ6+.xtq#!#;$"1$G@`BZci(!#;7$$!2/CZzSC%)o#!#;$"1d5W$3vQs'!#;7$$!2=,wr!z)em#!#;$"1exxP!G4u&!#;7$$!2%3^!\`'zYE!#;$"1G7nO%H"p\!#;7$$!2`$*z.t)eCE!#;$"10/,.l+FT!#;7$$!1%\2/1J\g#!#:$"2EMAmvX8U$!#<7$$!1QY(3[jLe#!#:$"2O**oE120o#!#<7$$!2w3r[/EGc#!#;$"2c!>;DTx**>!#<7$$!1)*)>\Q(RTD!#:$"0d<$p&>zI"!#:7$$!2k."y&=><_#!#;$"1kSu/B*Q$o!#<7$$!0Tx&*e$\+D!#9$"2k`_Jje1b"!#>7$$!1zpYghWyC!#:$!18b`-lq"y'!#<7$$!2W&Rh3QDfC!#;$!2$>)p_H<rG"!#<7$$!2m-@GaD&QC!#;$!2K>"Qu=lb>!#<7$$!2bm%*f@6rT#!#;$!1,MPw)GXm#!#;7$$!2A1'*\ZhhR#!#;$!1#4p'[)\IQ$!#;7$$!1-VOB:*eP#!#:$!2kx>26g$4T!#<7$$!2wP4!)>&Q`B!#;$!0022R7?'\!#:7$$!2&>(oOEiJL#!#;$!1pM1m1n!y&!#;7$$!2.;hZ'*p:J#!#;$!1A=;*zJTs'!#;7$$!1%G/F8/?H#!#:$!1Hgm5&Rkl(!#;7$$!1QED5NhqA!#:$!1^>Mf#*)>y)!#;7$$!1Ge`,m[]A!#:$!1^'=ucs%p**!#;7$$!1A;i#=[%HA!#:$!29"G'Q:\#Q6!#;7$$!2a6gEGz)3A!#;$!2Q1IY`2')H"!#;7$$!2N&oi]bM(=#!#;$!1)*HDD*y")\"!#:7$$!1hSL2ggm@!#:$!2W")=pK8Gt"!#;7$$!29dQ)GoRX@!#;$!1k!f!)4H[.#!#:7$$!2uI\IFjV7#!#;$!1)G^w,RzU#!#:7$$!2DdR(>c.0@!#;$!1_zQ5[p>H!#:7$$!2$f?#z%R)G3#!#;$!2%o#G-)yB`P!#;7$$!2&ykdG72j?!#;$!1"\RgI51)\!#:7$$!1R;PPn%>/#!#:$!1KGB"o_Wa(!#:7$$!1_zh?t$=.#!#:$!1X1U=*[Y'**!#:7$$!1lU'Q!zs@?!#:$!2eFuy(fqi9!#:7$$!1*>)RHfH;?!#:$!1p?)QQ-;&>!#97$$!2D8K\&R'3,#!#;$!0:aL[D)GH!#87$$!2'*4*pnz93?!#;$!1=]!pkjd!R!#97$$!2j1m/)>V0?!#;$!1(fp<Sa$fe!#97$$!2'\&\o)R2/?!#;$!1.]l*[,G"y!#97$$!1LIB$*fr-?!#:$!2(*)e?8\&><"!#97$$!2YxCk*p.-?!#;$!2'4CT"*>ii:!#97$$!2j^;'**zN,?!#;$!2PNI7JZRM#!#97$$!2%e#3G+z1+#!#;$!16>[T_*yo%!#87$$!+1+++?!"*$!2NzzE!\;0`!"*7ao7$$!+'*******>!"*$"1d/b?nudz!")7$$!24uP\$)=$**>!#;$"1Og$>>9In%!#87$$!2;[vQnP')*>!#;$"2X,MmD.lL#!#97$$!2EA8G^cz*>!#;$"2$z8st%ewb"!#97$$!2O'4v^`F(*>!#;$"2;CcR%>Bo6!#97$$!2cWE'HI"f*>!#;$"1-E1(**yzy(!#97$$!2v#>]22b%*>!#;$"10Dv5gtSe!#97$$!2:*GDjg#=*>!#;$"1xN`*Q\L*Q!#97$$!2_&Q+>95*)>!#;$"2E")Q7-8&>H!#:7$$!2Gy008_O)>!#;$"29EC.$4RX>!#:7$$!20r2?%G?y>!#;$"2PnPY;W!e9!#:7$$!2%RxV[+so>!#;$"1zI%=cQV,"!#97$$!2'ox'[DP#f>!#;$"2:xbo$)4hw(!#;7$$!2a1!eo%3z$>!#;$"1$GTc^u71&!#:7$$!1F=D,$Qk">!#:$"1HibZ%p8s$!#:7$$!2_5")y<q]*=!#;$"20W];hjG#H!#;7$$!2'fi?#>f_(=!#;$"2un@Au%y>C!#;7$$!2:.PS1YZ&=!#;$"0Ak$\)Qr.#!#97$$!2D3SvNJN$=!#;$"1=nsP>aM<!#:7$$!2C#f(oo%Q7=!#;$"2B%\)frKa\"!#;7$$!2YgTotK1z"!#;$"2%\8Z%R(\%H"!#;7$$!2Xa6ugt9x"!#;$"14m[#**=\9"!#:7$$!2,w+b'\!*\<!#;$"1&Hb$)eIS***!#;7$$!2z,u1wZ#G<!#;$"1UJQJH#)=()!#;7$$!2P)4%3.xtq"!#;$"1D\`wskDw!#;7$$!1Q4q3WU)o"!#:$"1cT#y6vQs'!#;7$$!2McRy!z)em"!#;$"1cV\l!G4u&!#;7$$!2UH#\NlzY;!#;$"20=t'f%H"p\!#<7$$!0Hy3t)eC;!#9$"2uFL8_1q7%!#<7$$!2$=s#31J\g"!#;$"1*)=NrdM@M!#;7$$!2@437[jLe"!#;$"2YW(*Q220o#!#<7$$!2;RA^/EGc"!#;$"2'*esL8u(**>!#<7$$!2w[&3&Q(RT:!#;$"2;r3Yd>zI"!#<7$$!18z'e=><_"!#:$"1KZ;KB*Q$o!#<7$$!2XQz&*e$\+:!#;$"2<rb$R'e1b"!#>7$$!2Uw!QghWy9!#;$!1O`uHlq"y'!#<7$$!2'p4X3QDf9!#;$!1e\Z+t6(G"!#;7$$!1H^dUb_Q9!#:$!2et,C)=lb>!#<7$$!2.6jc@6rT"!#;$!1D!Hv))GXm#!#;7$$!2$32eu9;'R"!#;$!2xC6K')\IQ$!#<7$$!2z'y'G_"*eP"!#;$!1o$\*G,O4T!#;7$$!2&=HU(>&Q`8!#;$!19vm8C,i\!#;7$$!2'o8+jA;L8!#;$!1aZ.%pq1y&!#;7$$!2.W2S'*p:J"!#;$!1bnaL=8Cn!#;7$$!2.Is=8/?H"!#;$!1mc7_&Rkl(!#;7$$!2>4N$4Nhq7!#;$!1L()R5$*)>y)!#;7$$!2UxP0g'[]7!#;$!1kq$*HEZp**!#;7$$!2ZTR:=[%H7!#;$!2Vbn;;\#Q6!#;7$$!2Ej&\"Gz)37!#;$!1NxXWvg)H"!#:7$$!2dBw$\bM(="!#;$!2Kd+!Q*y")\"!#;7$$!2`[+g+1m;"!#;$!2/4)oVL"Gt"!#;7$$!1f,UFoRX6!#:$!2mkl47H[.#!#;7$$!2/wY:FjV7"!#;$!1`y>]!RzU#!#:7$$!1:(f"=c.06!#:$!1">hw&[p>H!#:7$$!2`f`i%R)G3"!#;$!2Xt2$fzB`P!#;7$$!2OwGoArI1"!#;$!1iFtZ/h!)\!#:7$$!1E%RbtY>/"!#:$!1\rh9IXWv!#:7$$!2;IX(=t$=."!#;$!1a@Y3&\Y'**!#:7$$!1x6&>!zs@5!#:$!2m%G12hqi9!#:7$$!2FQju#fH;5!#;$!2$e7+;Eg^>!#:7$$!2&)evH&R'3,"!#;$!1M4B6g#)GH!#97$$!29pJd'z935!#;$!2&yIS!fkd!R!#:7$$!2Vz([y>V05!#;$!2M*>5OlNfe!#:7$$!2e%e'[)R2/5!#;$!1W"yUH0G"y!#97$$!2s*QC"*fr-5!#;$!2N4j:xb><"!#97$$!1BHV%*p.-5!#:$!1zgW>Nii:!#87$$!2([>i(*zN,5!#;$!2&['fRv]RM#!#97$$!2V(4"3+z1+"!#;$!0&*))4.4zo%!#77$$!+/+++5!"*$!1Ka?`pudz!")7ao7$$!1,++!)********!#;$"2$)>*fc%\:f"!")7$$!1j,Np$)=$***!#;$"221yR*y-tY!#97$$!1F.qenP')**!#;$"2&oE]xm]OB!#97$$!1"\]![^cz**!#;$"2sKW?**fwb"!#97$$!1a1SPNvs**!#;$"2;TaozK#o6!#97$$!1z45;.8f**!#;$"1[TXxF)zy(!#97$$!118![42b%**!#;$"2:js98Q2%e!#:7$$!1e>?_1E=**!#;$"2u$y*pK]L*Q!#:7$$!16Eg4U,"*)*!#;$"2v'4tXN^>H!#:7$$!1:RSC8_O)*!#;$"2wTZ4;"RX>!#:7$$!0A0#R%G?y*!#:$"2_O*)HHW!e9!#:7$$!1*>EJ]+so*!#;$"22UMIiQV,"!#:7$$!1xr/nDP#f*!#;$"1Gno!>5hw(!#:7$$!1'*pJ.Z3z$*!#;$"1#z4@mu71&!#:7$$!1-e<HIQk"*!#;$"1l1ED&p8s$!#:7$$!0'Qh%z,2&*)!#:$"2&f#G!fO'G#H!#;7$$!1nH2P>f_()!#;$"1G"\Xx%y>C!#:7$$!1e,ca1YZ&)!#;$"1l>Ks)Qr.#!#:7$$!1z?u)e8`L)!#;$"2..GX&>aM<!#;7$$!18YD")o%Q7)!#;$"2xC*oGFV&\"!#;7$$!1e8/!QFj!z!#;$"2biVUS(\%H"!#;7$$!0Ru\3OZr(!#:$"2W*)p.+>\9"!#;7$$!1-Q+l'\!*\(!#;$"1(zD6lIS***!#;7$$!1"4qehxCG(!#;$"0Tp=)H#)=()!#:7$$!1>\q;.xtq!#;$"1%e[xJZci(!#;7$$!1eja%4WU)o!#;$"1ls?_^(Qs'!#;7$$!1^6.&3z)em!#;$"1a4@$4G4u&!#;7$$!10[zg`'zY'!#;$"1l^n#[H"p\!#;7$$!1_kw8t)eC'!#;$"2%yhlRl+FT!#<7$$!1D%pCh5$\g!#;$"1@93'yX8U$!#;7$$!0Y:a"[jLe!#:$"14f7&320o#!#;7$$!1ept`/EGc!#;$"1pKeTTx**>!#;7$$!1s2^_Q(RT&!#;$"1^)**)z&>zI"!#;7$$!/zaf=><_!#9$"1v`efB*Q$o!#<7$$!1"f8e*e$\+&!#;$"26Lfbke1b"!#>7$$!1)[XHghWy%!#;$!1s_&pb1<y'!#<7$$!1\)zG3QDf%!#;$!2L5!o0t6(G"!#<7$$!2CJ#HBaD&Q%!#<$!2$)HA/*=lb>!#<7$$!2Eb:L:76<%!#<$!1^Yo)*)GXm#!#;7$$!1UNlTZhhR!#;$!2CT`x()\IQ$!#<7$$!0M9PA:*eP!#:$!2a&*yr9g$4T!#<7$$!1$fk$o>&Q`$!#;$!1#*ziOC,i\!#;7$$!1y,MBEiJL!#;$!1Vg+A2n!y&!#;7$$!1-s`K'*p:J!#;$!1#pJz'=8Cn!#;7$$!2(pJS58/?H!#<$!1)G&e$fRkl(!#;7$$!21YvT3Nhq#!#<$!1<bXh$*)>y)!#;7$$!1/sR&*f'[]#!#;$!1%[bCps%p**!#;7$$!2Q2sX!=[%H#!#<$!2()Hs%p"\#Q6!#;7$$!2m\6L!Gz)3#!#<$!13aGavg)H"!#:7$$!0=c7[bM(=!#:$!2(["[2&*y")\"!#;7$$!2M4pm/ggm"!#<$!2#ptXgL"Gt"!#;7$$!23Y<+EoRX"!#<$!1LA(Q9H[.#!#:7$$!2m8U/qKOC"!#<$!17Wu#3RzU#!#:7$$!1w&)zlhN]5!#;$!2nUM\!\p>H!#;7$$!1$48&eWR)G)!#<$!19sQQ!QKv$!#:7$$!1d[53D72j!#<$!1cgU*e51)\!#:7$$!2NJ@2PtY>%!#=$!2vY,![LXWv!#;7$$!1z]E(oJP=$!#<$!13Q])4]Y'**!#:7$$!2W%)3Q+!zs@!#=$!2VY^iB1FY"!#:7$$!2KjcGb#fH;!#=$!1P07[Gg^>!#97$$!2@U/>5&R'3"!#=$!2W'z5Rl#)GH!#:7$$!1mJGkP'z9)!#=$!1x9!R`ld!R!#97$$!16@_4l(>V&!#=$!1,hVq'e$fe!#97$$!1$eT@)G)R2%!#=$!1Oc!*)44G"y!#97$$!2a0hZD*)fr#!#>$!28m@*Hm&><"!#97$$!2:zq5W#*p.#!#>$!2(=K[Z]ii:!#97$$!2w_!QFc*zN"!#>$!1>)*p'>aRM#!#87$$!1QE!p8))**y'!#>$!2%Hpd?G#zo%!#97$$!#?!#5$!2M&*=4V\:f"!")7ao7$$"#?!#5$"2M&*=4V\:f"!")7$$"1*)o$)\1j6o!#>$"1:$yR*y-tY!#87$$"2yPn*HTKi8!#>$"2#3E]xm]OB!#97$$"1n5&\>&[V?!#=$"2cCW?**fwb"!#97$$"1cZ$*fikCF!#=$"2aRaozK#o6!#97$$"1M@!**Qop3%!#=$"1rSXxF)zy(!#97$$"17&p)>0H\a!#=$"1%es98Q2%e!#97$$"1nU!)zZ$R<)!#=$"1:y*pK]L*Q!#97$$"2B!R(R!z&)*3"!#=$"2L&4tXN^>H!#:7$$"2N&3'fv'yM;!#=$"2%4u%4;"RX>!#:7$$"2Z!y%zg:(z@!#=$"2-O*)HHW!e9!#:7$$"1@!Q(o\*z7$!#<$"22UMIiQV,"!#:7$$"2lBG&HVFwS!#=$"2lr'o!>5hw(!#;7$$"1b+$o'H:4i!#<$"1'y4@mu71&!#:7$$"1))>C3(phN)!#<$"1j1ED&p8s$!#:7$$"209'Q0#)H\5!#<$"2xDG!fO'G#H!#;7$$"2V.FH13uC"!#<$"1F"\Xx%y>C!#:7$$"2D%)RaMRDX"!#<$"1l>Ks)Qr.#!#:7$$"1@zD6kok;!#;$"0.GX&>aM<!#97$$"2vQX(=J:w=!#<$"2)[#*oGFV&\"!#;7$$"2Gke*>En$4#!#<$"2biVUS(\%H"!#;7$$"16c-:RE&G#!#;$"2[*)p.+>\9"!#;7$$"2()>'*\L]4]#!#<$"1*zD6lIS***!#;7$$"0"*HTQAvr#!#:$"1/%p=)H#)=()!#;7$$"1"3&H$oHi#H!#;$"1)e[xJZci(!#;7$$"2Fk`a!fv:J!#<$"1ls?_^(Qs'!#;7$$"0&)o\"47TL!#:$"1c4@$4G4u&!#;7$$"1&>0#RY.KN!#;$"1n^n#[H"p\!#;7$$"1\NB'o7Tv$!#;$"1yhlRl+FT!#;7$$"2adIvQ*o]R!#<$"1A93'yX8U$!#;7$$"2&RXe%=lj;%!#<$"0"f7&320o#!#:7$$"1UIEY&R<P%!#;$"1oKeTTx**>!#;7$$"1H#*[Zh-'e%!#;$"2-&)**)z&>zI"!#<7$$"215_/93Gy%!#<$"1k`efB*Q$o!#<7$$"2(4k=/T1&*\!#<$"2'4!fbke1b"!#>7$$"18X0(RQb@&!#;$!10`&pb1<y'!#<7$$"1_,7<>Y2a!#;$!2m5!o0t6(G"!#<7$$"1*o2ndWZh&!#;$!29IA/*=lb>!#<7$$"1[WoYy))Ge!#;$!1_Yo)*)GXm#!#;7$$"1fkMe_QQg!#;$!19Mvx)\IQ$!#;7$$"1hcGwZ3Ti!#;$!1c*yr9g$4T!#;7$$"13ajJ![hY'!#;$!2L*ziOC,i\!#<7$$"1B)fmPx$om!#;$!1Vg+A2n!y&!#;7$$"1*ziuO+V)o!#;$!1"pJz'=8Cn!#;7$$"1Jof*oe*zq!#;$!1#H&e$fRkl(!#;7$$"0aCe"\'QH(!#:$!18bXh$*)>y)!#;7$$"1(z-Y+M^\(!#;$!1*[bCps%p**!#;7$$"1FzU&>=bq(!#;$!2"*Hs%p"\#Q6!#;7$$"1/&)o'>27"z!#;$!2&3aGavg)H"!#;7$$"1@Qu=XaE")!#;$!2)\"[2&*y")\"!#;7$$"134L`*RRL)!#;$!2%ptXgL"Gt"!#;7$$"0a#)*R<.Y&)!#:$!2NBsQ9H[.#!#;7$$"1lyb*Hnjv)!#;$!2VTWF3RzU#!#;7$$"1D9?MQk\*)!#;$!2.VM\!\p>H!#;7$$"1#p[Tbg6<*!#;$!1:sQQ!QKv$!#:7$$"1:&*=\xGp$*!#;$!1igU*e51)\!#:7$$"0(y#HmK0e*!#:$!1)[,![LXWv!#:7$$"1$\t7$oi"o*!#;$!1^Q])4]Y'**!#:7$$"1<">'**4s#y*!#;$!2fY^iB1FY"!#:7$$"1QVrW2/P)*!#;$!2&[07[Gg^>!#:7$$"1f&4)*[g8*)*!#;$!1sz5Rl#)GH!#97$$"1orNi._=**!#;$!0W,R`ld!R!#87$$"1zZ!\B!oX**!#;$!2v0O/ne$fe!#:7$$"1%ey6<g#f**!#;$!1Gd!*)44G"y!#97$$"0R_u5SG(**!#:$!2&f;#*Hm&><"!#97$$"1#H*ev+jz**!#;$!269$[Z]ii:!#97$$"1&>EP/?k)**!#;$!1@(*p'>aRM#!#87$$"1)4j=,5K***!#;$!28#yd?G#zo%!#97$$"1,++!)********!#;$!2$)>*fc%\:f"!")7ao7$$"+/+++5!"*$"1Ka?`pudz!")7$$"2"fA1l6o+5!#;$"1Qo$>>9In%!#87$$"2%=X7EBO,5!#;$"2[@MmD.lL#!#97$$"2ux'=([V?+"!#;$"20O@PZewb"!#97$$"2k.\#[Ys-5!#;$"2CNcR%>Bo6!#97$$"2Wbt.(p3/5!#;$"1bD1(**yzy(!#97$$"2D2)\#H\a+"!#;$"0j_2,O2%e!#87$$"2&3ruOR<35!#;$"2EjL&*Q\L*Q!#:7$$"2[9'*4e)*3,"!#;$"1#))Q7-8&>H!#97$$"2s@%\pyM;5!#;$"1#HC.$4RX>!#97$$"2&*G#*z:(z@5!#;$"1"pPY;W!e9!#97$$"21Ei:&*z7."!#;$"2#yI%=cQV,"!#:7$$"29BK^ui2/"!#;$"1Ae&o$)4hw(!#:7$$"2Y$*>9`"4i5!#;$"1#HTc^u71&!#:7$$"1t"[()phN3"!#:$"2OBcvWp8s$!#;7$$"2[*)=@#)H\5"!#;$"2OW];hjG#H!#;7$$"2/u$z23uC6!#;$"2'z;AUZy>C!#;7$$"2&oH'f$RDX6!#;$"2<Ak$\)Qr.#!#;7$$"2v"*fCkok;"!#;$"23sEx$>aM<!#;7$$"2w2CJJ:w="!#;$"2>%\)frKa\"!#;7$$"2aReJEn$47!#;$"0NrWR(\%H"!#97$$"2bX)e#RE&G7!#;$"2(4m[#**=\9"!#;7$$"2*R#*\M]4]7!#;$"1*Hb$)eIS***!#;7$$"2@)fKRAvr7!#;$"1\JQJH#)=()!#;7$$"2j,f"pHi#H"!#;$"0$\`wskDw!#:7$$"1i!*H"fv:J"!#:$"1kT#y6vQs'!#;7$$"2mVg@47TL"!#;$"1iV\l!G4u&!#;7$$"2eq2XY.KN"!#;$"1&=t'f%H"p\!#;7$$"0r@"p7Tv8!#9$"22GL8_1q7%!#<7$$"2<ys"R*o]R"!#;$"1$*=NrdM@M!#;7$$"2z!>z=lj;9!#;$"1[u*Q220o#!#;7$$"2%3w([&R<P9!#;$"2NfsL8u(**>!#<7$$"2C^9\h-'e9!#;$"2er3Yd>zI"!#<7$$"1(3KT"3Gy9!#:$"1mZ;KB*Q$o!#<7$$"2bh?/T1&*\"!#;$"2$zgNR'e1b"!#>7$$"2eB>'RQb@:!#;$!/`uHlq"y'!#:7$$"2/.\:>Y2a"!#;$!2U&\Z+t6(G"!#<7$$"1r[UdWZh:!#:$!28t,C)=lb>!#<7$$"2(*)oL%y))Ge"!#;$!2C-Hv))GXm#!#<7$$"2<H>a_QQg"!#;$!1V7@j)\IQ$!#;7$$"2@8KrZ3Ti"!#;$!2OO\*G,O4T!#<7$$"2:3xD![hY;!#;$!0^nOT7?'\!#:7$$"29j)*ptPom"!#;$!1ZZ.%pq1y&!#;7$$"2(fD*f.I%)o"!#;$!1[naL=8Cn!#;7$$"2(*pF"oe*zq"!#;$!1fc7_&Rkl(!#;7$$"2"3\m!\'QH<!#;$!1F()R5$*)>y)!#;7$$"2eAi%*R8&\<!#;$!1[q$*HEZp**!#;7$$"2`eg%==bq<!#;$!2Zbn;;\#Q6!#;7$$"2uO/&=27"z"!#;$!1MxXWvg)H"!#:7$$"2VwB1XaE"=!#;$!2Pd+!Q*y")\"!#;7$$"2Z^**R*RRL=!#;$!1*3)oVL"Gt"!#:7$$"1T)zD<.Y&=!#:$!2`kl47H[.#!#;7$$"2'RKXGnjv=!#;$!2L&y>]!RzU#!#;7$$"1&GS=Qk\*=!#:$!2&)=hw&[p>H!#;7$$"2ZSYP0;r">!#;$!2'HxIfzB`P!#;7$$"2kBrJxGp$>!#;$!1kFtZ/h!)\!#:7$$"1u0YkK0e>!#:$!1arh9IXWv!#:7$$"2%)pa7oi"o>!#;$!1s?Y3&\Y'**!#:7$$"1B)[!)4s#y>!#:$!2$QG12hqi9!#:7$$"2thOD2/P)>!#;$!1F7+;Eg^>!#97$$"2:TCq/O"*)>!#;$!2D!4B6g#)GH!#:7$$"2'3$oU._=*>!#;$!1aHS!fkd!R!#97$$"2d?7:-oX*>!#;$!0--h`c$fe!#87$$"2U:M^,Ef*>!#;$!0>yUH0G"y!#87$$"2G5c(3SG(*>!#;$!2J/j:xb><"!#97$$"1xqc0I'z*>!#:$!2&*)fW>Nii:!#97$$"280yB+U')*>!#;$!1Z%fRv]RM#!#87$$"2d-*=**4K**>!#;$!1V"))4.4zo%!#87$$"+'*******>!"*$!1d/b?nudz!")7ao7$$"+1+++?!"*$"2NzzE!\;0`!"*7$$"2W`fq;"o+?!#;$"2:nw**[+In%!#97$$"1p!>"GBO,?!#:$"2d>wd$)*\OB!#97$$"2Mgy"*[V?+#!#;$"2tk,a&pld:!#97$$"2x8Q-lCF+#!#;$"1#ef54J#o6!#87$$"2j?dB(p3/?!#;$"1Lcn;_(zy(!#97$$"1viZ%H\a+#!#:$"2a)[.!*QtSe!#:7$$"2ET9(QR<3?!#;$"1j+2_%[L*Q!#97$$"2.b_He)*3,#!#;$"2#)3Zn\7&>H!#:7$$"2d#)G9(yM;?!#;$"2KB,(*p!RX>!#:7$$"1,^!*frz@?!#:$"2j/'GOS/e9!#:7$$"1TrV`*z7.#!#:$"2mu^1]QV,"!#:7$$"22=ppui2/#!#;$"1U\-$[4hw(!#:7$$"2$o:<L:4i?!#;$"1eG<pVFh]!#:7$$"2k#RT+<c$3#!#;$"2:"=&)p$p8s$!#;7$$"2a<*pB)H\5#!#;$"1OEFkN'G#H!#:7$$"1xZH43uC@!#:$"22C%*)4Zy>C!#;7$$"1`>QPRDX@!#:$"22[1k#)Qr.#!#;7$$"1VSzV'ok;#!#:$"27TD4#>aM<!#;7$$"1;OP9`h(=#!#:$"1R1G.FV&\"!#:7$$"2j#4KksO4A!#;$"2t2*p%Q(\%H"!#;7$$"0NuORE&GA!#9$"2RK.Y)*=\9"!#;7$$"0'))\N]4]A!#9$"1C[eD0.%***!#;7$$"2M(*Q-C_<F#!#;$"0)o*3)G#)=()!#:7$$"2V_))*pHi#H#!#;$"1$H@`BZci(!#;7$$"2'fF0#fv:J#!#;$"1n5W$3vQs'!#;7$$"2#))R#G47TL#!#;$"1mxxP!G4u&!#;7$$"2;*[4lM?`B!#;$"1D7nO%H"p\!#;7$$"2Z1?'p7TvB!#;$"29T5I]1q7%!#<7$$"11DfR*o]R#!#:$"1hBicdM@M!#;7$$"1i`7>lj;C!#:$"29**oE120o#!#<7$$"2C"*G^&R<PC!#;$"17>;DTx**>!#;7$$"1-,3:EgeC!#:$"1wvJp&>zI"!#;7$$"2O'*=U"3GyC!#;$"1ETu/B*Q$o!#<7$$"0fA/T1&*\#!#9$"2([J:L'e1b"!#>7$$"1@I`RQb@D!#:$!1_a`-lq"y'!#<7$$"2c/'Q">Y2a#!#;$!2M")p_H<rG"!#<7$$"2M(*yrXu9c#!#;$!2u<"Qu=lb>!#<7$$"2XL0Sy))Ge#!#;$!2VRtj()GXm#!#<7$$"2y$R+D&QQg#!#;$!1v!p'[)\IQ$!#;7$$"1)pNmZ3Ti#!#:$!1p(>26g$4T!#;7$$"2Ci!*>![hYE!#;$!2C/22R7?'\!#<7$$"20GJjtPom#!#;$!0Yjgmq1y&!#:7$$"2(R)Q_.I%)o#!#;$!1*zh"*zJTs'!#;7$$"1;dHne*zq#!#:$!1=gm5&Rkl(!#;7$$"1itu*['QHF!#:$!1C>Mf#*)>y)!#;7$$"1sTY)R8&\F!#:$!1='=ucs%p**!#;7$$"1y$yt"=bqF!#:$!2E"G'Q:\#Q6!#;7$$"2Y))Rtr?6z#!#;$!2B1IY`2')H"!#;7$$"2l9t$\Wl7G!#;$!2L*HDD*y")\"!#;7$$"1Rfm#*RRLG!#:$!2)3)=pK8Gt"!#;7$$"2'G9;rJgaG!#;$!1h!f!)4H[.#!#:7$$"2Ep]psOc(G!#;$!1%G^w,RzU#!#:7$$"2vUg-Qk\*G!#;$!2o%zQ5[p>H!#;7$$"22%z2_g6<H!#;$!1f#G-)yB`P!#:7$$"2:_B9xGp$H!#;$!1w%RgI51)\!#:7$$"1h$GEE`!eH!#:$!1(zK7o_Wa(!#:7$$"1[?QzE;oH!#:$!1'\?%=*[Y'**!#:7$$"1Nd8'4s#yH!#:$!2FEuy(fqi9!#:7$$"1,=gqSq$)H!#:$!1Y?)QQ-;&>!#97$$"2v'y1Xg8*)H!#;$!2#)4aL[D)GH!#:7$$"2/!4IK?&=*H!#;$!1C\!pkjd!R!#97$$"2P$R`>!oX*H!#;$!1&Qp<Sa$fe!#97$$"2/X]J,Ef*H!#;$!1HYl*[,G"y!#97$$"1npw1SG(*H!#:$!2c!e?8\&><"!#97$$"2aAvN+jz*H!#;$!0E79*>ii:!#77$$"2P[$Q+?k)*H!#;$!2v,I7JZRM#!#97$$"2;u">(*4K**H!#;$!2Ohy9C&*yo%!#97$$"+%*******H!"*$!1rpO![k^I&!")7ao7$$"+3+++I!"*$"1J1*f\t)yR!")7$$"2'4o0p6o+I!#;$"1co4)y')Hn%!#87$$"2%>O6IBO,I!#;$"2$y'G\T'\OB!#97$$"2#H/<"\V?+$!#;$"2;+&3Pald:!#97$$"1RsA_Ys-I!#:$"2w6k"Q-Bo6!#97$$"2(e3Mup3/I!#;$"1L5HO9(zy(!#97$$"2$yWX'H\a+$!#;$"2Cx<$p<tSe!#:7$$"1<<oSR<3I!#:$"1wmg9vM$*Q!#97$$"1c*3\e)*3,$!#:$"2%o`Ds>^>H!#:7$$"1MMOtyM;I!#:$"2'z#y!p/RX>!#:7$$"2A"z"=;(z@I!#;$"2KVMz!R/e9!#:7$$"1@?Jb*z7.$!#:$"2uTg%R%QV,"!#:7$$"2&Hh!)[FwSI!#;$"2b<%>H"4hw(!#;7$$"2B?B\`"4iI!#;$"11WqAUFh]!#:7$$"2(z'z?qhN3$!#;$"2$zt9#Hp8s$!#;7$$"2mXz_#)H\5$!#;$"2c![*o^jG#H!#;7$$"19ez53uCJ!#:$"1(zmvn%y>C!#:7$$"2t$4!)QRDXJ!#;$"1N([M!)Qr.#!#:7$$"2(o"G^kok;$!#;$"/T7/>aM<!#87$$"2`:BcJ:w=$!#;$"28Lw0pKa\"!#;7$$"2tX$[lsO4K!#;$"2;!o#\P(\%H"!#;7$$"2XCgZRE&GK!#;$"2y.?n(*=\9"!#;7$$"2)z%)\O]4]K!#;$"1EV"GYIS***!#;7$$"2W'>:TAvrK!#;$"1C1TIG#)=()!#;7$$"1L!=3(Hi#H$!#:$"1Kw5%>Zci(!#;7$$"1dk!Gfv:J$!#:$"0(z0\](Qs'!#:7$$"0a([$47TL$!#9$"0;h+,G4u&!#:7$$"1y?olM?`L!#:$"1`#pOTH"p\!#;7$$"0U=,F6aP$!#9$"0^(o%[1q7%!#:7$$"20B7+%*o]R$!#;$"2n#G*=uX8U$!#<7$$"1;)e%>lj;M!#:$"1D0W^q]!o#!#;7$$"2n@!QbR<PM!#;$"27A^p6u(**>!#<7$$"2<pX_h-'eM!#;$"2oVESc>zI"!#<7$$"2/%eI93GyM!#;$"1sNKxA*Q$o!#<7$$"1kXU5k]*\$!#:$"2k5^pie1b"!#>7$$"2`!oWRQb@N!#;$!1-cKvkq"y'!#<7$$"1hIA">Y2a$!#:$!2Cnk+H<rG"!#<7$$"2a2LpXu9c$!#;$!2Vhgj'=lb>!#<7$$"2$zPn$y))Ge$!#;$!1mx@l)GXm#!#;7$$"1%e)eC&QQg$!#:$!1<p7M)\IQ$!#;7$$"2YERhZ3Ti$!#;$!2N>!\#4g$4T!#<7$$"1jTS,[hYO!#:$!2LcYxO7?'\!#<7$$"2&HRmNx$om$!#;$!1f@4Q1n!y&!#;7$$"2&>^[M+V)o$!#;$!1[oxk<8Cn!#;7$$"2Ftjk'e*zq$!#;$!0R1#p%Rkl(!#:7$$"1;)H))['QHP!#:$!1a^G3#*)>y)!#;7$$"1>hY(R8&\P!#:$!1W-!\]s%p**!#;7$$"1rhH;=bqP!#:$!1o!eg9\#Q6!#:7$$"1-a<;27"z$!#:$!20R-[_2')H"!#;7$$"2'GD7[Wl7Q!#;$!2hT0D"*y")\"!#;7$$"1jBL"*RRLQ!#:$!2A`\,J8Gt"!#;7$$"2c,V(pJgaQ!#;$!1yC:v!H[.#!#:7$$"2c9[asOc(Q!#;$!1GZ5&)*QzU#!#:7$$"0d!oyV'\*Q!#9$!2jq9Jw%p>H!#;7$$"1w%4/0;r"R!#:$!2Nz[6!yB`P!#;7$$"11enp(Gp$R!#:$!1%>YV;51)\!#:7$$"1[hzgK0eR!#:$!1n%[yM_Wa(!#:7$$"1(R4vni"oR!#:$!1()*y$G$[Y'**!#:7$$"1YEA%4s#yR!#:$!26n&o[eqi9!#:7$$"2X)pmoSq$)R!#;$!28&Gw^@g^>!#:7$$"2FK6J/O"*)R!#;$!2bDxa&\#)GH!#:7$$"1#\L.._=*R!#:$!19sS.Fw0R!#97$$"1hcb<!oX*R!#:$!1%pPuE_$fe!#97$$"2cum6,Ef*R!#;$!1XJ.&o(z7y!#97$$"0$yx/SG(*R!#9$!2uL\[0a><"!#97$$"2DP$e,I'z*R!#;$!1^1Qj/ii:!#87$$"2["*)Q)*>k)*R!#;$!2:E3&oQ%RM#!#97$$"2vX%>&*4K**R!#;$!2%3T0_9)yo%!#97$$"+#*******R!"*$!2wAv-Ot)yR!"*-%&COLORG6&%$RGBG$""!!""$"#5!""$""!!""-%'CURVESG6$7S7$$!#S!""$!#5!""7$$!2nmmmwAc#Q!#;$!#5!""7$$!1LLLo!)*Qn$!#:$!#5!""7$$!2nmmmxnK]$!#;$!#5!""7$$!2lmmmV1:L$!#;$!#5!""7$$!2NLL$[9cgJ!#;$!#5!""7$$!2nmm;ct?+$!#;$!#5!""7$$!+N&oz$G!"*$!#5!""7$$!1nmm")3DoE!#:$!#5!""7$$!+:v2*\#!"*$!#5!""7$$!2KLLL">1DB!#;$!#5!""7$$!2mmmm())yr@!#;$!#5!""7$$!2-+++uR#**>!#;$!#5!""7$$!)@)f#=!"($!#5!""7$$!*E;!f;!")$!#5!""7$$!2nmm;G&R2:!#;$!#5!""7$$!2MLLLF.rK"!#;$!#5!""7$$!2OLLLHsV<"!#;$!#5!""7$$!1-++]&)4n**!#;$!#5!""7$$!1PLLL\[%R)!#;$!#5!""7$$!1)*****\&y!pm!#;$!#5!""7$$!*l$3E]!"*$!#5!""7$$!2CLLL$3z6L!#<$!#5!""7$$!2PLLL)[`P<!#<$!#5!""7$$!1Tnmmmr[R!#=$!#5!""7$$"2oKLL=2Vs"!#<$!#5!""7$$"1'*****\`pfK!#;$!#5!""7$$"1HLLLm&z"\!#;$!#5!""7$$"1(******z-6j'!#;$!#5!""7$$"1#******4#32$)!#;$!#5!""7$$"1%*****\#y'G**!#;$!#5!""7$$"2$******H%=H<"!#;$!#5!""7$$"1mmm1>qM8!#:$!#5!""7$$"2)*******HSu]"!#;$!#5!""7$$"1LLLep'Rm"!#:$!#5!""7$$"2*******R>4N=!#;$!#5!""7$$"2emm;@2h*>!#;$!#5!""7$$"2&*****\c9W;#!#;$!#5!""7$$"2jmmmwl*GB!#;$!#5!""7$$"2'*****\iN7]#!#;$!#5!""7$$"2NLLL(>:nE!#;$!#5!""7$$"1LLL.a#o$G!#:$!#5!""7$$"2lmm;&Q40I!#;$!#5!""7$$"*3:(fJ!")$!#5!""7$$"2mmmmXGpL$!#;$!#5!""7$$"1LLL8-V&\$!#:$!#5!""7$$"+XhUkO!"*$!#5!""7$$"+:o<EQ!"*$!#5!""7$$"#S!""$!#5!""-%&COLORG6&%$RGBG$"#5!""$"#5!""$""!!""-%'CURVESG6$7S7$$!#S!""$"#5!""7$$!2nmmmwAc#Q!#;$"#5!""7$$!1LLLo!)*Qn$!#:$"#5!""7$$!2nmmmxnK]$!#;$"#5!""7$$!2lmmmV1:L$!#;$"#5!""7$$!2NLL$[9cgJ!#;$"#5!""7$$!2nmm;ct?+$!#;$"#5!""7$$!+N&oz$G!"*$"#5!""7$$!1nmm")3DoE!#:$"#5!""7$$!+:v2*\#!"*$"#5!""7$$!2KLLL">1DB!#;$"#5!""7$$!2mmmm())yr@!#;$"#5!""7$$!2-+++uR#**>!#;$"#5!""7$$!)@)f#=!"($"#5!""7$$!*E;!f;!")$"#5!""7$$!2nmm;G&R2:!#;$"#5!""7$$!2MLLLF.rK"!#;$"#5!""7$$!2OLLLHsV<"!#;$"#5!""7$$!1-++]&)4n**!#;$"#5!""7$$!1PLLL\[%R)!#;$"#5!""7$$!1)*****\&y!pm!#;$"#5!""7$$!*l$3E]!"*$"#5!""7$$!2CLLL$3z6L!#<$"#5!""7$$!2PLLL)[`P<!#<$"#5!""7$$!1Tnmmmr[R!#=$"#5!""7$$"2oKLL=2Vs"!#<$"#5!""7$$"1'*****\`pfK!#;$"#5!""7$$"1HLLLm&z"\!#;$"#5!""7$$"1(******z-6j'!#;$"#5!""7$$"1#******4#32$)!#;$"#5!""7$$"1%*****\#y'G**!#;$"#5!""7$$"2$******H%=H<"!#;$"#5!""7$$"1mmm1>qM8!#:$"#5!""7$$"2)*******HSu]"!#;$"#5!""7$$"1LLLep'Rm"!#:$"#5!""7$$"2*******R>4N=!#;$"#5!""7$$"2emm;@2h*>!#;$"#5!""7$$"2&*****\c9W;#!#;$"#5!""7$$"2jmmmwl*GB!#;$"#5!""7$$"2'*****\iN7]#!#;$"#5!""7$$"2NLLL(>:nE!#;$"#5!""7$$"1LLL.a#o$G!#:$"#5!""7$$"2lmm;&Q40I!#;$"#5!""7$$"*3:(fJ!")$"#5!""7$$"2mmmmXGpL$!#;$"#5!""7$$"1LLL8-V&\$!#:$"#5!""7$$"+XhUkO!"*$"#5!""7$$"+:o<EQ!"*$"#5!""7$$"#S!""$"#5!""-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%%VIEWG6$;$!#S!""$"#S!"";$!#?!""$"#?!""-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6%Q"x6"Q!6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#7-%(SCALINGG6#%,CONSTRAINEDG-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"$]"!""-%)BOUNDS_YG6#$"$5*!""-%-BOUNDS_WIDTHG6#$"%gJ!""-%.BOUNDS_HEIGHTG6#$"%!e"!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"Ig==
_________________________________________________________________________________ Exercise 8
restart;
f := (t) -> ((2+sqrt(3))*t-1)/(2+sqrt(3)+t);
NiM+JSJmR2YqNiMlInRHNiI2JCUpb3BlcmF0b3JHJSZhcnJvd0c2IiomLCYqJiwmIiIjIiIiLSUlc3FydEc2IyIiJCIiIiIiIiUidEciIiIiIiIiIiIhIiIiIiIsKCIiIyIiIi0lJXNxcnRHNiMiIiQiIiIlInRHIiIiISIiNiI2IjYi
g := (t) -> f(f(f(t)));
NiM+JSJnR2YqNiMlInRHNiI2JCUpb3BlcmF0b3JHJSZhcnJvd0c2Ii0lImZHNiMtJSJmRzYjLSUiZkc2IyUidEc2IjYiNiI=
h := (t) -> g(g(t));
NiM+JSJoR2YqNiMlInRHNiI2JCUpb3BlcmF0b3JHJSZhcnJvd0c2Ii0lImdHNiMtJSJnRzYjJSJ0RzYiNiI2Ig==
simplify(g(t));
NiMqJiwmJSJ0RyIiIiIiIiEiIiIiIiwmIiIiIiIiJSJ0RyIiIiEiIg==
simplify(h(t));
NiMsJComIiIiIiIiJSJ0RyEiIiEiIg==
_________________________________________________________________________________ Exercise 9
y := sin(10*x);
NiM+JSJ5Ry0lJHNpbkc2IywkKiYiIzUiIiIlInhHIiIiIiIi
(diff(y,x$8)/y)^(1/8);
NiMqJCkiKisrKysiIyIiIiIiKSIiIg==
simplify(%);
NiMiIzU=
_________________________________________________________________________________ Exercise 10
Here is the efficient method using the seq() command:
plot([seq(n^(3/2) * x^n * (1-x)^2,n=1..10)],x=0..1);
63-%'CURVESG6$7X7$$""!!""$""!!""7$$"2LLL$3x&)*3"!#=$"2NmMSOJi1"!#=7$$"2mmmmT:(z@!#=$"2ORI#[ys&3#!#=7$$"-D"y%*z7$!#8$"2Z+;UHo`$H!#=7$$"2NLLe9ui2%!#=$"1"Hi"pqs]P!#<7$$"-voMrU^!#8$"1_+qCYOFY!#<7$$"1nmm"z_"4i!#<$"20\](H(>?Y&!#=7$$"1nmmm6m#G(!#<$"1m$Q_DV0E'!#<7$$"1mmmT&phN)!#<$"1zw6$e0!=q!#<7$$"-v=ddC%*!#8$"1f=+FZ$=t(!#<7$$"2KL$e*=)H\5!#<$"1er#e/fkS)!#<7$$"2mm;z/3uC"!#<$"1'e-K%o7c&*!#<7$$"2)***\7LRDX"!#<$"2V`j%G>@h5!#<7$$"2lm;zR'ok;!#<$"1P482<ec6!#;7$$"2)***\i5`h(=!#<$"24(['3n-#Q7!#<7$$"2NLL$3En$4#!#<$"2%>j'f,b(38!#<7$$"2nmmT!RE&G#!#<$"2igW\,C,O"!#<7$$"+D.&4]#!#5$"2;QcI2GkS"!#<7$$"+vB_<F!#5$"2Bj5-(QAT9!#<7$$"+v'Hi#H!#5$"1d/$fVLUY"!#;7$$"2mm;z*ev:J!#<$"2m(HT'[WmZ"!#<7$$"1LLL347TL!#;$"2<#>d@aZ"["!#<7$$"1LLLLY.KN!#;$"2&QrZ7<hx9!#<7$$"-D"o7Tv$!#7$"1,^[n4_k9!#;7$$"1LLL$Q*o]R!#;$"1p3/_:sX9!#;7$$"-D"=lj;%!#7$"2X0!)Q.oyT"!#<7$$"-vV&R<P%!#7$"1iliR(\[Q"!#;7$$"2NLLe9Ege%!#<$"1M_$4I:UM"!#;7$$"2LL$eR"3Gy%!#<$"2EW([&*o$=I"!#<7$$"2mmmT5k]*\!#<$"19CgaFB^7!#;7$$"1mm"zRQb@&!#;$"2vb;Fp#*Q>"!#<7$$"-v=>Y2a!#7$"2$>&y!\(409"!#<7$$"1mm;zXu9c!#;$"21w%3(\T(z5!#<7$$"*&y))Ge!"*$"1ml3+-795!#;7$$"1****\i_QQg!#;$"1n!=,8yoZ*!#<7$$"1***\7y%3Ti!#;$"13O_bbI=))!#<7$$"1****\P![hY'!#;$"1W/E)f'*\2)!#<7$$"1LLL$Qx$om!#;$"1r">!>]q,u!#<7$$"+v.I%)o!#5$"0>RE_#*Ho'!#;7$$"1mm"zpe*zq!#;$"1)=`pvEo.'!#<7$$"+D\'QH(!#5$"1-2KC">9M&!#<7$$"1KLe9S8&\(!#;$"1:!fB67Fq%!#<7$$"1***\i?=bq(!#;$"1)3e55$ocS!#<7$$"1LLL3s?6z!#;$"2;8^\Z.<X$!#=7$$"-DJXaE")!#7$"2s`t@O$G_G!#=7$$"1nmmm*RRL)!#;$"11e]:%)H8B!#<7$$"1mm;a<.Y&)!#;$"2sP\EL^m!=!#=7$$"1LLe9tOc()!#;$"23z^sDzUN"!#=7$$"*&Qk\*)!"*$"1kJq_qnt)*!#=7$$"1LL$3dg6<*!#;$"0JvG>c.I'!#<7$$"1mmmmxGp$*!#;$"1p'>u>$3FP!#=7$$"-D"oK0e*!#7$"27lPD&=s&o"!#>7$$"-v=5s#y*!#7$"2ZSnR#yV=Y!#?7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7Y7$$""!!""$""!!""7$$"2LLL$3x&)*3"!#=$"2%Qf6)yYnG$!#?7$$"2mmmmT:(z@!#=$"2E=^])e)eG"!#>7$$"-D"y%*z7$!#8$"1-sQU*4qf#!#=7$$"2NLLe9ui2%!#=$"1Am31*zVK%!#=7$$"1nmm"z_"4i!#<$"1$Q&))HMZ#f*!#=7$$"1mmmT&phN)!#<$"2A*)*)yu#pe;!#=7$$"2KL$e*=)H\5!#<$"14o:kA#\\#!#<7$$"2mm;z/3uC"!#<$"1$*pt3`frL!#<7$$"2)***\7LRDX"!#<$"2Cg;=$[))fV!#=7$$"2lm;zR'ok;!#<$"1J,*oQ+dW&!#<7$$"2)***\i5`h(=!#<$"1w_Td'*fql!#<7$$"2NLL$3En$4#!#<$"0n'[rf=]x!#;7$$"2nmmT!RE&G#!#<$"1'e%RyoV"z)!#<7$$"+D.&4]#!#5$"1Q:G]'G([**!#<7$$"+vB_<F!#5$"2B*4s?*px5"!#<7$$"+v'Hi#H!#5$"2#[H`b9*=@"!#<7$$"2mm;z*ev:J!#<$"28Btxy?8I"!#<7$$"1LLL347TL!#;$"1P"osg6+S"!#;7$$"1LLLLY.KN!#;$"1:V^b#\hZ"!#;7$$"-D"o7Tv$!#7$"2\UIJli]b"!#<7$$"1LLL$Q*o]R!#;$"2(f#px_$[:;!#<7$$"-D"=lj;%!#7$"08Yof_3n"!#:7$$"-vV&R<P%!#7$"1HN))>qQ7<!#;7$$"2NLLe9Ege%!#<$"2tWW#GShV<!#<7$$"2LL$eR"3Gy%!#<$"2N`:c2-6w"!#<7$$".v=7O*))[!#8$"2Q?NZ#H-m<!#<7$$"2mmmT5k]*\!#<$"2\(*4v]jxw"!#<7$$"1m;/^7I0^!#;$"28mR2<*>m<!#<7$$"1mm"zRQb@&!#;$"1DWdtI?h<!#;7$$"-v=>Y2a!#7$"1_kn0aOW<!#;7$$"1mm;zXu9c!#;$"2FvlxAEZr"!#<7$$"*&y))Ge!"*$"2Mk&RPy$>n"!#<7$$"1****\i_QQg!#;$"2wi\%)eo&=;!#<7$$"1***\7y%3Ti!#;$"2%4*)='GZmb"!#<7$$"1****\P![hY'!#;$"2uW#QH%QoZ"!#<7$$"1LLL$Qx$om!#;$"2X*)zY-PgR"!#<7$$"+v.I%)o!#5$"1KQCc]H,8!#;7$$"1mm"zpe*zq!#;$"2[k$pXM))37!#<7$$"+D\'QH(!#5$"2OO`**fV>5"!#<7$$"1KLe9S8&\(!#;$"0'=8"\'[p**!#;7$$"1***\i?=bq(!#;$"1$)f$ykO8%))!#<7$$"1LLL3s?6z!#;$"1(y:p%fiBx!#<7$$"-DJXaE")!#7$"10=T&**pgb'!#<7$$"1nmmm*RRL)!#;$"1Pt)\d$*GX&!#<7$$"1mm;a<.Y&)!#;$"2v(*G4`1qO%!#=7$$"1LLe9tOc()!#;$"1J`r\"4TN$!#<7$$"*&Qk\*)!"*$"2..$z*)[O*\#!#=7$$"1LL$3dg6<*!#;$"2'ycpL)4Vj"!#=7$$"1mmmmxGp$*!#;$"1vl[[+!p()*!#=7$$"-D"oK0e*!#7$"1e#pC&=%zc%!#=7$$"*&oi"o*!"*$"2cj(yQ+H(o#!#>7$$"-v=5s#y*!#7$"2'eTH8&3zF"!#>7$$".v$40O"*)*!#8$"1QA].F7mK!#>7$$"#5!""$""!!""-%&COLORG6&%$RGBG$")Vyg>!")$"(;#R!)!"($")Vyg>!")-%'CURVESG6$7en7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1)40&HB>\^!#?7$$"2NLLe9ui2%!#=$"2mdhuW_$QK!#?7$$"1nmm"z_"4i!#<$"2>iwe)y?%4"!#>7$$"1mmmT&phN)!#<$"21X$ouHIYD!#>7$$"2KL$e*=)H\5!#<$"1-]\"R@%4[!#=7$$"2mm;z/3uC"!#<$"1.(*zCbYEx!#=7$$"2)***\7LRDX"!#<$"2A2:1zGM;"!#=7$$"2lm;zR'ok;!#<$"2Kf@oE<am"!#=7$$"2)***\i5`h(=!#<$"2C_r0N(pkA!#=7$$"2NLL$3En$4#!#<$"2A/PLAr4)H!#=7$$"2nmmT!RE&G#!#<$"1[Xtrq!4p$!#<7$$"+D.&4]#!#5$"0u*)RI#)4d%!#;7$$"+vB_<F!#5$"1G&oetQ/`&!#<7$$"+v'Hi#H!#5$"1CaTE!>\^'!#<7$$"2mm;z*ev:J!#<$"1`>N6?x[u!#<7$$"1LLL347TL!#;$"1T6&)4ZJ$f)!#<7$$"1LLLLY.KN!#;$"1,nzF6Qy&*!#<7$$"-D"o7Tv$!#7$"2#4!yn6([s5!#<7$$"1LLL$Q*o]R!#;$"2&pT(H`)\s6!#<7$$"-D"=lj;%!#7$"2T.,0b())y7!#<7$$"-vV&R<P%!#7$"1.KQLiGv8!#;7$$"2NLLe9Ege%!#<$"1X2%fn1!p9!#;7$$"2LL$eR"3Gy%!#<$"2Og@)ejSZ:!#<7$$"2mmmT5k]*\!#<$"2i-t6\">A;!#<7$$"1mm"zRQb@&!#;$"/aUil](o"!#97$$"-v=>Y2a!#7$"2w"ywUt(Gt"!#<7$$"1mm;zXu9c!#;$"2k(y8x0to<!#<7$$"1LLe9i"=s&!#;$"2lCJ'p#o:y"!#<7$$"*&y))Ge!"*$"2V7a&z'p.z"!#<7$$"1***\ibOO$f!#;$"27_Pgdp\z"!#<7$$"1****\i_QQg!#;$"1m19zS^&z"!#;7$$"1**\(=-N(Rh!#;$"2s/;<R6@z"!#<7$$"1***\7y%3Ti!#;$"2X-;+F!z%y"!#<7$$"1**\P4kh`j!#;$"2eYq3&Q-s<!#<7$$"1****\P![hY'!#;$"1RQ*G2ZVv"!#;7$$"1LLL$Qx$om!#;$"2V3y4$zA5<!#<7$$"+v.I%)o!#5$"2W2])\EyX;!#<7$$"1mm"zpe*zq!#;$"2&o*>K?gBd"!#<7$$"+D\'QH(!#5$"2vYHmwplZ"!#<7$$"1KLe9S8&\(!#;$"2PE!H-Dus8!#<7$$"1***\i?=bq(!#;$"2:P;oQu:D"!#<7$$"1LLL3s?6z!#;$"2w\@"fv`A6!#<7$$"-DJXaE")!#7$"1<D")p$Hyy*!#<7$$"1nmmm*RRL)!#;$"1,Me,?h[$)!#<7$$"1mm;a<.Y&)!#;$"1&Q=ppFi&o!#<7$$"1LLe9tOc()!#;$"2WHhJ%*ybR&!#=7$$"*&Qk\*)!"*$"20KKH=U$4T!#=7$$"1LL$3dg6<*!#;$"2Pv6bcmNv#!#=7$$"1mmmmxGp$*!#;$"2sw7d^f+q"!#=7$$"-D"oK0e*!#7$"1(*GKhX$)R!)!#=7$$"*&oi"o*!"*$"0:t$[/pzZ!#<7$$"-v=5s#y*!#7$"1AP%)ezl'H#!#=7$$"/D1k2/P)*!#9$"1/.r5'4NJ"!#=7$$".v$40O"*)*!#8$"1YXQHT1Nf!#>7$$"/voa-oX**!#9$"2jB.nUX$3:!#?7$$"#5!""$""!!""-%&COLORG6&%$RGBG$")(>!\&)!")$")%)eqk!")$"(-\D"!"(-%'CURVESG6$7\o7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1Bn%f.8!G<!#@7$$"2NLLe9ui2%!#=$"2$4@,MkLK?!#@7$$"1nmm"z_"4i!#<$"1/XtJ2-Y5!#>7$$"1mmmT&phN)!#<$"1^`P&pgeF$!#>7$$"2KL$e*=)H\5!#<$"1zLkS9ipx!#>7$$"2mm;z/3uC"!#<$"26J%R#ovQ["!#>7$$"2)***\7LRDX"!#<$"2'e%y>S6=g#!#>7$$"2lm;zR'ok;!#<$"1'=%QO^QoU!#=7$$"2)***\i5`h(=!#<$"1_")p%pQ;a'!#=7$$"2NLL$3En$4#!#<$"1m%*p:=#*3'*!#=7$$"2nmmT!RE&G#!#<$"2:=E,^1')H"!#=7$$"+D.&4]#!#5$"2j!o:*pS+w"!#=7$$"+vB_<F!#5$"29,$[I*zQJ#!#=7$$"+v'Hi#H!#5$"2#)piy!y6NH!#=7$$"2mm;z*ev:J!#<$"2v%\3W3>tN!#=7$$"1LLL347TL!#;$"1xI,SVR?W!#<7$$"1LLLLY.KN!#;$"1_QFe*\'3_!#<7$$"-D"o7Tv$!#7$"1u$zH7)z)>'!#<7$$"1LLL$Q*o]R!#;$"1Qap8QqJr!#<7$$"-D"=lj;%!#7$"1$>/S%QZ.#)!#<7$$"-vV&R<P%!#7$"1C*[F!\oc#*!#<7$$"2NLLe9Ege%!#<$"28Z<K29s."!#<7$$"2LL$eR"3Gy%!#<$"20([]V/XR6!#<7$$"2mmmT5k]*\!#<$"2F!*Q(Q3`Z7!#<7$$"1mm"zRQb@&!#;$"2jnHO*=/b8!#<7$$"-v=>Y2a!#7$"1)*[,jznU9!#;7$$"1mm;zXu9c!#;$"1Qcu=H(*G:!#;7$$"*&y))Ge!"*$"2')*pn"Q1ng"!#<7$$"1****\i_QQg!#;$"23"==%)fBp;!#<7$$"1***\7y%3Ti!#;$"2v%G'oXl\r"!#<7$$"1**\P4kh`j!#;$"1rfdp%*RL<!#;7$$"1****\P![hY'!#;$"27o%\8F]Y<!#<7$$"1mmT5FEnl!#;$"21Q,Vv6Nv"!#<7$$"1LLL$Qx$om!#;$"2'[$e,@Hev"!#<7$$"1mm;z)Qjx'!#;$"2D@`$Q([Hv"!#<7$$"+v.I%)o!#5$"2lL:j<xVu"!#<7$$"1K$ek`H@)p!#;$"2ykqo)3eJ<!#<7$$"1mm"zpe*zq!#;$"2$p!\]G@Rr"!#<7$$"+D\'QH(!#5$"10*GLkM"e;!#;7$$"1KLe9S8&\(!#;$"1:9V#4ySe"!#;7$$"1***\i?=bq(!#;$"1')oiJaz%["!#;7$$"1LLL3s?6z!#;$"12jr0?En8!#;7$$"-DJXaE")!#7$"2C7>rO<YA"!#<7$$"1nmmm*RRL)!#;$"2b.3IR072"!#<7$$"1nmTge)*R%)!#;$"1hJnX:-z)*!#<7$$"1mm;a<.Y&)!#;$"12Uokb1@!*!#<7$$".vV`*>^')!#8$"1vwP)H)\_")!#<7$$"1LLe9tOc()!#;$"1[=@9p%RF(!#<7$$"1m;H#e0I&))!#;$"1h?7![/^Y'!#<7$$"*&Qk\*)!"*$"1p8G*\7Am&!#<7$$"1nmT5ASg!*!#;$"1n]a:y_fZ!#<7$$"1LL$3dg6<*!#;$"1L,U[a,))Q!#<7$$"-voTAq#*!#7$"1_A^kb^YJ!#<7$$"1mmmmxGp$*!#;$"2kb%H?%HBX#!#=7$$"-D"oK0e*!#7$"2uYO\F"*e="!#=7$$"*&oi"o*!"*$"14]5R*HX7(!#=7$$"-v=5s#y*!#7$"1PBizx5fM!#=7$$"/D1k2/P)*!#9$"1e(ROTD$*)>!#=7$$".v$40O"*)*!#8$"1$*y2e#e$Q!*!#>7$$"1^7.#Q?&=**!#;$"1&4^#>n9S^!#>7$$"/voa-oX**!#9$"2Mjm/IN'4B!#?7$$"0vVt7SG(**!#:$"1\Ub&3>u$e!#?7$$"#5!""$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%'CURVESG6$7`o7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1p)=9!4&RE&!#B7$$"2NLLe9ui2%!#=$"1'Q!RrXxd6!#@7$$"1nmm"z_"4i!#<$"1TI)3D-p2*!#@7$$"1mmmT&phN)!#<$"29yE)=NeDQ!#@7$$"2KL$e*=)H\5!#<$"2<umWVn$R6!#?7$$"2mm;z/3uC"!#<$"1x7*3+\oe#!#>7$$"2)***\7LRDX"!#<$"1%Q/ABR;G&!#>7$$"2lm;zR'ok;!#<$"1M#\n#)p-$**!#>7$$"2)***\i5`h(=!#<$"2)>n_q+A:<!#>7$$"2NLL$3En$4#!#<$"2d#))*\3n:"G!#>7$$"2nmmT!RE&G#!#<$"1D&GR&*Gu9%!#=7$$"+D.&4]#!#5$"1-0hzmm^h!#=7$$"+vB_<F!#5$"1Cb/zdx(y)!#=7$$"+v'Hi#H!#5$"28b&H>`K+7!#=7$$"2mm;z*ev:J!#<$"2[-\`m5fb"!#=7$$"1LLL347TL!#;$"2`"z9`0/k?!#=7$$"1LLLLY.KN!#;$"2jG.`Ox5d#!#=7$$"-D"o7Tv$!#7$"0e&=_#>AD$!#;7$$"1LLL$Q*o]R!#;$"1*)Q(RV'fPR!#<7$$"-D"=lj;%!#7$"1Z-yMShwZ!#<7$$"-vV&R<P%!#7$"2E?A"Q"\bl&!#=7$$"2NLLe9Ege%!#<$"1bcOnvnZm!#<7$$"2LL$eR"3Gy%!#<$"1<Vv/"*G;w!#<7$$"2mmmT5k]*\!#<$"17yoD6y3()!#<7$$"1mm"zRQb@&!#;$"1mu'\J9o()*!#<7$$"-v=>Y2a!#7$"2:CZ")\a-4"!#<7$$"1mm;zXu9c!#;$"2u?/A@h(*>"!#<7$$"*&y))Ge!"*$"2as5X/U)38!#<7$$"1****\i_QQg!#;$"2/&)yka^'39!#<7$$"1***\7y%3Ti!#;$"2A/$QOR#e\"!#<7$$"1****\P![hY'!#;$"2FY"y1]Ey:!#<7$$"1LLL$Qx$om!#;$"2$y&3I1<jj"!#<7$$"1mm;z)Qjx'!#;$"2xE5+G"3g;!#<7$$"+v.I%)o!#5$"2d'pL>JGy;!#<7$$"1K$ek`H@)p!#;$"27<,K#fk*o"!#<7$$"1mm"zpe*zq!#;$"2Pz'*))zYep"!#<7$$"1*\(oa_VLr!#;$"2CfPS2ipp"!#<7$$"1L$e9"="p=(!#;$"2WW0Of>kp"!#<7$$"1n"H#o$)QSs!#;$"2kQm$HF=%p"!#<7$$"+D\'QH(!#5$"2m%H3Zs@!p"!#<7$$"1n;zp%*\%R(!#;$"1s$z$H'ezn"!#;7$$"1KLe9S8&\(!#;$"2$\Fc'3&Gf;!#<7$$"1***\i?=bq(!#;$"22hR9)[%*)f"!#<7$$"1LLL3s?6z!#;$"1(*yT2)y;^"!#;7$$"-DJXaE")!#7$"2vC*=k8#3R"!#<7$$"1L$e*[ACI#)!#;$"2Qw9b%zMA8!#<7$$"1nmmm*RRL)!#;$"20O%f*oOwC"!#<7$$"1nmTge)*R%)!#;$"2>#\X%=a_;"!#<7$$"1mm;a<.Y&)!#;$"2L3L_xDu2"!#<7$$".vV`*>^')!#8$"11f$Q&>rc)*!#<7$$"1LLe9tOc()!#;$"1;p[5kT,*)!#<7$$"1m;H#e0I&))!#;$"1r4p;">*)*z!#<7$$"*&Qk\*)!"*$"1a&z#Ql,#3(!#<7$$"1nmT5ASg!*!#;$"2CG(p"\bm-'!#=7$$"1LL$3dg6<*!#;$"1:%G$[II$)\!#<7$$"-voTAq#*!#7$"1)pb$\$yk2%!#<7$$"1mmmmxGp$*!#;$"1Z5QyY26K!#<7$$"1L$eRA5\Z*!#;$"2Y;&R_A&RN#!#=7$$"-D"oK0e*!#7$"2(>J(*=P"ye"!#=7$$"*&oi"o*!"*$"07BYWM)R'*!#<7$$"-v=5s#y*!#7$"1u54#*>@HZ!#=7$$"/D1k2/P)*!#9$"12zU)Rh[t#!#=7$$".v$40O"*)*!#8$"1`T%3=E%\7!#=7$$"1^7.#Q?&=**!#;$"0L!GU>/Dr!#=7$$"/voa-oX**!#9$"1H'>*e+G5K!#>7$$"0vVt7SG(**!#:$"1KcKWS)e8)!#?7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"(=TH(!"($")MLLL!")$"'^u#)!"'-%'CURVESG6$7\o7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"2W))GvG&G3:!#D7$$"2NLLe9ui2%!#=$"1aZ%Q-@Q?'!#B7$$"1nmm"z_"4i!#<$"1;5y+xp3u!#A7$$"1mmmT&phN)!#<$"1%>Jvy+A?%!#@7$$"2KL$e*=)H\5!#<$"2/(G1IJdr:!#@7$$"2mm;z/3uC"!#<$"2'z(ear7=C%!#@7$$"2)***\7LRDX"!#<$"2)*yvp"G[35!#?7$$"2lm;zR'ok;!#<$"20w"HN"GI<#!#?7$$"2)***\i5`h(=!#<$"1_e0$=">IU!#>7$$"2NLL$3En$4#!#<$"1>F*y]1!Qx!#>7$$"2nmmT!RE&G#!#<$"2)e=!3Z6fC"!#>7$$"+D.&4]#!#5$"2MQD:X7C-#!#>7$$"+vB_<F!#5$"2wz)y"*fBRJ!#>7$$"+v'Hi#H!#5$"1)\:n%f?<Y!#=7$$"2mm;z*ev:J!#<$"1$GlfK[EP'!#=7$$"1LLL347TL!#;$"1kT;;AIl!*!#=7$$"1LLLLY.KN!#;$"2dR@[5YP>"!#=7$$"-D"o7Tv$!#7$"2eo!*fpS\g"!#=7$$"1LLL$Q*o]R!#;$"29FY5G=\/#!#=7$$"-D"=lj;%!#7$"1)4#)>&*pgh#!#<7$$"-vV&R<P%!#7$"18()Gs98]K!#<7$$"2NLLe9Ege%!#<$"1uIU&RWv+%!#<7$$"2LL$eR"3Gy%!#<$"14>F0j[)y%!#<7$$"2mmmT5k]*\!#<$"17(QkVW$=d!#<7$$"1mm"zRQb@&!#;$"1@"4i7Z:x'!#<7$$"-v=>Y2a!#7$"1:(pft[)\x!#<7$$"1mm;zXu9c!#;$"0/C?nl^&))!#;7$$"*&y))Ge!"*$"2y!od$QqG+"!#<7$$"1****\i_QQg!#;$"2_Ird?S"=6!#<7$$"1***\7y%3Ti!#;$"2ld*=e<>F7!#<7$$"1****\P![hY'!#;$"2&H!o(*)3_T8!#<7$$"1LLL$Qx$om!#;$"2doi3SkVV"!#<7$$"+v.I%)o!#5$"1<b"Q7(y=:!#;7$$"1mm"zpe*zq!#;$"2bN6yt)Hy:!#<7$$"1L$e9"="p=(!#;$"2'*fG"*Q#o-;!#<7$$"+D\'QH(!#5$"2NCVz6'e?;!#<7$$"1LeR(>#=Wt!#;$"2in:sU7mi"!#<7$$"1n;zp%*\%R(!#;$"2<sod")H5j"!#<7$$"1*\(=Un"[W(!#;$"1,&o"fbyL;!#;7$$"1KLe9S8&\(!#;$"2%Rf(e!)G[j"!#<7$$",D1Ixa(!#6$"2%[6Bae.M;!#<7$$"1mmT5hK+w!#;$"2E2=tkl7j"!#<7$$"1LLLe@#Hl(!#;$"1AWhH%oki"!#;7$$"1***\i?=bq(!#;$"1B&G,$zf>;!#;7$$"1m;H2FO3y!#;$"2o:`"3_,+;!#<7$$"1LLL3s?6z!#;$"2_=!oG#y?d"!#<7$$"-DJXaE")!#7$"2DE:9khd["!#<7$$"1nmmm*RRL)!#;$"1m@\3q"oO"!#;7$$"1nmTge)*R%)!#;$"2F=0*z'3GH"!#<7$$"1mm;a<.Y&)!#;$"2')*GKbbQ57!#<7$$".vV`*>^')!#8$"2$3#=*pX$47"!#<7$$"1LLe9tOc()!#;$"2&Q&)=J9gC5!#<7$$"1m;H#e0I&))!#;$"1:4;jX!)3$*!#<7$$"*&Qk\*)!"*$"12IuKzrJ$)!#<7$$"1nmT5ASg!*!#;$"0,,40sy<(!#;7$$"1LL$3dg6<*!#;$"1cpn5Bx2g!#<7$$"-voTAq#*!#7$"2&e\:rrgn\!#=7$$"1mmmmxGp$*!#;$"1'=PqSR[&R!#<7$$"1L$eRA5\Z*!#;$"2V.J*3%p=$H!#=7$$"-D"oK0e*!#7$"2y#\HPEo**>!#=7$$"*&oi"o*!"*$"2"e:@Y_%oA"!#=7$$"-v=5s#y*!#7$"1&[0ZbM;3'!#=7$$"#5!""$""!!""-%&COLORG6&%$RGBG$""!!""$"):Vy!)!")$")&yg>)!")-%'CURVESG6$7_o7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1<$oYp!*G9%!#E7$$"2NLLe9ui2%!#=$"1fhL(47n=$!#C7$$"1nmm"z_"4i!#<$"1[v,w7)oz&!#B7$$"1mmmT&phN)!#<$"2u[rM"y!\U%!#B7$$"2KL$e*=)H\5!#<$"1&RmB/R!y?!#@7$$"2mm;z/3uC"!#<$"1%)pnNRwnm!#@7$$"2)***\7LRDX"!#<$"2Z:&R"yNf%=!#@7$$"2lm;zR'ok;!#<$"1#3*3u!e%eX!#?7$$"2)***\i5`h(=!#<$"2@'>M#e6,+"!#?7$$"2NLL$3En$4#!#<$"2r$p7=2aT?!#?7$$"2nmmT!RE&G#!#<$"2kl!\x!Gze$!#?7$$"+D.&4]#!#5$"1FNJ[$\PP'!#>7$$"+vB_<F!#5$"2F1<n"=-v5!#>7$$"+v'Hi#H!#5$"2#*3(**G7e-<!#>7$$"2mm;z*ev:J!#<$"22N#QiO4-D!#>7$$"1LLL347TL!#;$"2:F0NMen"Q!#>7$$"1LLLLY.KN!#;$"17rx;:@8`!#=7$$"-D"o7Tv$!#7$"2vIiPKHDf(!#>7$$"1LLL$Q*o]R!#;$"2P*3)*4)\!=5!#=7$$"-D"=lj;%!#7$"2/HnuK%\t8!#=7$$"-vV&R<P%!#7$"2V$G-/W]!z"!#=7$$"2NLLe9Ege%!#<$"2Q=MVK")fJ#!#=7$$"2LL$eR"3Gy%!#<$"2Pw)=sO.')G!#=7$$"2mmmT5k]*\!#<$"2D$fi5?T*f$!#=7$$"1mm"zRQb@&!#;$"2m!z5ER[]W!#=7$$"-v=>Y2a!#7$"16i$e1()3G&!#<7$$"1mm;zXu9c!#;$"1PtueAPli!#<7$$"*&y))Ge!"*$"1y+&e%=Kmt!#<7$$"1****\i_QQg!#;$"1Z)e'3<>3&)!#<7$$"1***\7y%3Ti!#;$"0uD9#HX^'*!#;7$$"1****\P![hY'!#;$"2=bs+\3J4"!#<7$$"1LLL$Qx$om!#;$"27uMB.8`?"!#<7$$"+v.I%)o!#5$"1vZm@(zvJ"!#;7$$"1mm"zpe*zq!#;$"1"\D=Y@"39!#;7$$"+D\'QH(!#5$"2nV@(3E`*["!#<7$$"1n;zp%*\%R(!#;$"1VGs!\:)>:!#;7$$"1KLe9S8&\(!#;$"2%*pq?O(3W:!#<7$$"1mmT5hK+w!#;$"2/!*=kdXBc"!#<7$$"1***\i?=bq(!#;$"2n=U!\(REd"!#<7$$"1L3xc/%pv(!#;$"1JU5C'pXd"!#;7$$"1m;H2FO3y!#;$"2#G:i@3Ou:!#<7$$"1*\7y&\yfy!#;$"1<U">0U>d"!#;7$$"1LLL3s?6z!#;$"2nV*\PdCn:!#<7$$"1m;zpe()=!)!#;$"2#)fK5^h(\:!#<7$$"-DJXaE")!#7$"22`LG_6:_"!#<7$$"1nmmm*RRL)!#;$"2:$Rx!REaV"!#<7$$"1nmTge)*R%)!#;$"2()\z(3$z\P"!#<7$$"1mm;a<.Y&)!#;$"1=pDY@\.8!#;7$$".vV`*>^')!#8$"2^h7Un:?A"!#<7$$"1LLe9tOc()!#;$"2kUwEJu08"!#<7$$"1m;H#e0I&))!#;$"2kfWk,'\Q5!#<7$$"*&Qk\*)!"*$"1F!H4OyjR*!#<7$$"1nmT5ASg!*!#;$"1V*\$Q?F&>)!#<7$$"1LL$3dg6<*!#;$"1yM2iB<Vp!#<7$$"-voTAq#*!#7$"1NS5&3oI!e!#<7$$"1mmmmxGp$*!#;$"024uDT$pY!#;7$$"1L$eRA5\Z*!#;$"1<oC=#z0]$!#<7$$"-D"oK0e*!#7$"29>g]0(=9C!#=7$$"*&oi"o*!"*$"21X@H;"y'\"!#=7$$"-v=5s#y*!#7$"1Y'o9e=s\(!#=7$$"/D1k2/P)*!#9$"1b!oIPcQQ%!#=7$$".v$40O"*)*!#8$"1l0GE>&\-#!#=7$$"1^7.#Q?&=**!#;$"2PGh`r46;"!#>7$$"/voa-oX**!#9$"1K];L1Ag_!#>7$$"0vVt7SG(**!#:$"0Q2VI+/M"!#=7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7^o7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"2[KP]$QH.6!#G7$$"2NLLe9ui2%!#=$"19<\zG1(e"!#D7$$"1nmm"z_"4i!#<$"1a"H)f$*e(R%!#C7$$"1mmmT&phN)!#<$"1[Ob)y7v^%!#B7$$"2KL$e*=)H\5!#<$"1yh"o!)QSm#!#A7$$"2mm;z/3uC"!#<$"2u!**e?T>;5!#A7$$"2)***\7LRDX"!#<$"2C)pfxL"fF$!#A7$$"2lm;zR'ok;!#<$"1lI,;0Dr#*!#@7$$"2)***\i5`h(=!#<$"2Y+>=CvCH#!#@7$$"2NLL$3En$4#!#<$"16"G,)[@A_!#?7$$"2nmmT!RE&G#!#<$"2b'3/r*p<+"!#?7$$"+D.&4]#!#5$"2`"e:(3Zv%>!#?7$$"+vB_<F!#5$"2$Q;#y;h#pN!#?7$$"+v'Hi#H!#5$"11(H@>7q3'!#>7$$"2mm;z*ev:J!#<$"1,.WJ!zZ_*!#>7$$"1LLL347TL!#;$"22az1FE!e:!#>7$$"1LLLLY.KN!#;$"13,:%4?GH#!#=7$$"-D"o7Tv$!#7$"298ADWCC[$!#>7$$"1LLL$Q*o]R!#;$"2b\dV")RR"\!#>7$$"-D"=lj;%!#7$"1kaAh$G:*p!#=7$$"-vV&R<P%!#7$"1`<%[6;Nc*!#=7$$"2NLLe9Ege%!#<$"1#pKJwbwH"!#<7$$"2LL$eR"3Gy%!#<$"27pjmNXko"!#=7$$"2mmmT5k]*\!#<$"2U)G@)R[m>#!#=7$$"1mm"zRQb@&!#;$"1dD?[@#f$G!#<7$$"-v=>Y2a!#7$"14>zyz*))[$!#<7$$"1mm;zXu9c!#;$"1>+v-T)zH%!#<7$$"*&y))Ge!"*$"1=D=n>&fC&!#<7$$"1****\i_QQg!#;$"19y\2:"pF'!#<7$$"1***\7y%3Ti!#;$"1KT?P5Pft!#<7$$"1****\P![hY'!#;$"13J]qdoN')!#<7$$"1LLL$Qx$om!#;$"1")>!3%)>*>)*!#<7$$"+v.I%)o!#5$"287:cb;#36!#<7$$"1mm"zpe*zq!#;$"2&e!o-=K!=7!#<7$$"+D\'QH(!#5$"1xQXo6QF8!#;7$$"1KLe9S8&\(!#;$"2.'y'=tmRT"!#<7$$"1***\i?=bq(!#;$"04CJ;O0["!#:7$$"1m;H2FO3y!#;$"2aB,*y&Q>]"!#<7$$"1LLL3s?6z!#;$"1:vkLN%[^"!#;7$$"/D1R:/lz!#9$"2bY9UVDz^"!#<7$$"1m;zpe()=!)!#;$"2X;'o!QI$=:!#<7$$"1L3_+-rs!)!#;$"21Ii0nYf^"!#<7$$"-DJXaE")!#7$"1`]d%>o1^"!#;7$$"1L$e*[ACI#)!#;$"2u$z;n>)>\"!#<7$$"1nmmm*RRL)!#;$"2$*ePdjo:Y"!#<7$$"1nmTge)*R%)!#;$"2N,SqNNyT"!#<7$$"1mm;a<.Y&)!#;$"2.z*G7&35O"!#<7$$".vV`*>^')!#8$"2YZD8jQ;H"!#<7$$"1LLe9tOc()!#;$"29Z/ZH9&47!#<7$$"1m;H#e0I&))!#;$"2Cr5hFoK7"!#<7$$"*&Qk\*)!"*$"1H')feXVF5!#;7$$"1nmT5ASg!*!#;$"1e-I<3">2*!#<7$$"1LL$3dg6<*!#;$"1z)*)R-J)zx!#<7$$"-voTAq#*!#7$"1u"4!="zDd'!#<7$$"1mmmmxGp$*!#;$"20U%\!fH]M&!#=7$$"1L$eRA5\Z*!#;$"1y9aZDJ_S!#<7$$"-D"oK0e*!#7$"2K7MN-Ye#G!#=7$$"*&oi"o*!"*$"2Q!Rq[W\q<!#=7$$"-v=5s#y*!#7$"1E$QN<?3'*)!#=7$$"/D1k2/P)*!#9$"1y`rYNwo_!#=7$$".v$40O"*)*!#8$"2O-h'p"RrW#!#>7$$"1^7.#Q?&=**!#;$"2&4]km_/29!#>7$$"/voa-oX**!#9$"1QHAWq%=R'!#>7$$"0vVt7SG(**!#:$"2#odINs?L;!#?7$$"#5!""$""!!""-%&COLORG6&%$RGBG$")Vyg>!")$"(;#R!)!"($")Vyg>!")-%'CURVESG6$7\o7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1RbVw%*epG!#H7$$"2NLLe9ui2%!#=$"17Xx#**[%>x!#F7$$"1nmm"z_"4i!#<$"1OmNya=eK!#D7$$"1mmmT&phN)!#<$"1W4X0TQ/X!#C7$$"2KL$e*=)H\5!#<$"1`/ROhbNL!#B7$$"2mm;z/3uC"!#<$"2%*QP"[[c7:!#B7$$"2)***\7LRDX"!#<$"1faw5x"zn&!#A7$$"2lm;zR'ok;!#<$"2&[m#R"zhT=!#A7$$"2)***\i5`h(=!#<$"1d&o`/y@8&!#@7$$"2NLL$3En$4#!#<$"2ueUa"[k/8!#@7$$"2nmmT!RE&G#!#<$"1R*=Y%4qJF!#?7$$"+D.&4]#!#5$"2:$\c&G\>"e!#@7$$"+vB_<F!#5$"2vj&zo8Rd6!#?7$$"+v'Hi#H!#5$"2)pV;tLSD@!#?7$$"2mm;z*ev:J!#<$"2%*)fs!zs6a$!#?7$$"1LLL347TL!#;$"1$\lAX*[6i!#>7$$"1LLLLY.KN!#;$"0Q*RW6Ej'*!#=7$$"-D"o7Tv$!#7$"2FpPYav*f:!#>7$$"1LLL$Q*o]R!#;$"1a/->d\;B!#=7$$"-D"=lj;%!#7$"0&[h/x#eZ$!#<7$$"-vV&R<P%!#7$"2&oB>HC&)))\!#>7$$"2NLLe9Ege%!#<$"1jec9m3,r!#=7$$"2LL$eR"3Gy%!#<$"1Ut%GVHYi*!#=7$$"2mmmT5k]*\!#<$"2/zX1ct#48!#=7$$"1mm"zRQb@&!#;$"2Dp1Xm3\w"!#=7$$"-v=>Y2a!#7$"1l&ySc"=^A!#<7$$"1mm;zXu9c!#;$"2%R5QkJazG!#=7$$"*&y))Ge!"*$"2N)f-X`q[O!#=7$$"1****\i_QQg!#;$"1-A'=PxE_%!#<7$$"1***\7y%3Ti!#;$"2ML:)4%=1[&!#=7$$"1****\P![hY'!#;$"1*)>$e;AIm'!#<7$$"1LLL$Qx$om!#;$"1DPIRHq8y!#<7$$"+v.I%)o!#5$"1_4J)G,O5*!#<7$$"1mm"zpe*zq!#;$"2t*=fgo+H5!#<7$$"+D\'QH(!#5$"1a:hDkEb6!#;7$$"1KLe9S8&\(!#;$"2#Rbv6Jek7!#<7$$"1***\i?=bq(!#;$"2d%p/moGh8!#<7$$"1m;H2FO3y!#;$"2&eMl))pR*R"!#<7$$"1LLL3s?6z!#;$"2W<L1"3,I9!#<7$$"1m;zpe()=!)!#;$"2_&\j;"4GX"!#<7$$"-DJXaE")!#7$"1"HTm'e)[Y"!#;7$$"1$3x1'*oC:)!#;$"2'y$QY)G0m9!#<7$$"1mT5!R$Ry")!#;$"1i<BS'4lY"!#;7$$"1\7`>yJ/#)!#;$"1_V:f(RiY"!#;7$$"1L$e*[ACI#)!#;$"2j>([8sAl9!#<7$$"1*\7y5"4#G)!#;$"2Ay*R()>"4Y"!#<7$$"1nmmm*RRL)!#;$"2X$p&*4UW`9!#<7$$"1nmTge)*R%)!#;$"2o%Qx0^*yU"!#<7$$"1mm;a<.Y&)!#;$"2lT!=iq)yQ"!#<7$$".vV`*>^')!#8$"1a_]dgNL8!#;7$$"1LLe9tOc()!#;$"1E)R;adPE"!#;7$$"1m;H#e0I&))!#;$"2/w$\pjf'="!#<7$$"*&Qk\*)!"*$"2e)\sWt?(4"!#<7$$"1nmT5ASg!*!#;$"1%[Fr]xy!)*!#<7$$"1LL$3dg6<*!#;$"1mj!o5'z8&)!#<7$$"-voTAq#*!#7$"1uq>I?Mqs!#<7$$"1mmmmxGp$*!#;$"1;PxWWlvf!#<7$$"1L$eRA5\Z*!#;$"0LQ,$3\"e%!#;7$$"-D"oK0e*!#7$"2vQn14z/B$!#=7$$"*&oi"o*!"*$"1e3W6"p`/#!#<7$$"-v=5s#y*!#7$"2'4'R)44,Y5!#=7$$".v$40O"*)*!#8$"1"HYi'yI))G!#=7$$"#5!""$""!!""-%&COLORG6&%$RGBG$")(>!\&)!")$")%)eqk!")$"(-\D"!"(-%'CURVESG6$7ao7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"14k^jD"eK(!#J7$$"2NLLe9ui2%!#=$"1vc(>&4T&o$!#G7$$"1nmm"z_"4i!#<$"29eqsuK%pB!#F7$$"1mmmT&phN)!#<$"1b,,3(y$3W!#D7$$"2KL$e*=)H\5!#<$"1=U+Q1C*4%!#C7$$"2mm;z/3uC"!#<$"28w(\q&H)4A!#C7$$"2)***\7LRDX"!#<$"1^'eX]o%f'*!#B7$$"2lm;zR'ok;!#<$"2xzH=o41f$!#B7$$"2)***\i5`h(=!#<$"2@4_!RGtF6!#A7$$"2NLL$3En$4#!#<$"1)o&[h)p"*>$!#@7$$"2nmmT!RE&G#!#<$"29/o[h([6t!#A7$$"+D.&4]#!#5$"2'></2fS-<!#@7$$"+vB_<F!#5$"1rt6w`u$o$!#?7$$"+v'Hi#H!#5$"1N^[0'pUG(!#?7$$"2mm;z*ev:J!#<$"2UFEAr]AH"!#?7$$"1LLL347TL!#;$"2%)fD&4)f1V#!#?7$$"1LLLLY.KN!#;$"1'H?#orY(*R!#>7$$"-D"o7Tv$!#7$"1_#\UK3!fo!#>7$$"1LLL$Q*o]R!#;$"1j`x:j'=2"!#=7$$"-D"=lj;%!#7$"2kNowQ,hp"!#>7$$"-vV&R<P%!#7$"2CP(RRLTaD!#>7$$"2NLLe9Ege%!#<$"2V#yVu#[T"Q!#>7$$"2LL$eR"3Gy%!#<$"14zA*e?9R&!#=7$$"2mmmT5k]*\!#<$"1o^$QQG'fw!#=7$$"1mm"zRQb@&!#;$"2T%fUbk4y5!#=7$$"-v=>Y2a!#7$"2O7*oa'RdU"!#=7$$"1mm;zXu9c!#;$"2)[_&e#pg$*=!#=7$$"*&y))Ge!"*$"1lx"*Ra#4\#!#<7$$"1****\i_QQg!#;$"1#faQXY&)>$!#<7$$"1***\7y%3Ti!#;$"1'>IezPh+%!#<7$$"1****\P![hY'!#;$"1V?=Y%og/&!#<7$$"1LLL$Qx$om!#;$"1)[Q&yud-h!#<7$$"+v.I%)o!#5$"1k.[hLASt!#<7$$"1mm"zpe*zq!#;$"1m%*z8bnK&)!#<7$$"+D\'QH(!#5$"11=Xcr1p)*!#<7$$"1KLe9S8&\(!#;$"2'))[aMB556!#<7$$"1***\i?=bq(!#;$"1n@z'eN&G7!#;7$$"1LLL3s?6z!#;$"29PcwV2]K"!#<7$$"1m;zpe()=!)!#;$"21p&Ql?Xk8!#<7$$"-DJXaE")!#7$"0()[l)pE%R"!#:7$$"1mT5!R$Ry")!#;$"2-yBP-=ZS"!#<7$$"1L$e*[ACI#)!#;$"1XEk'Q(Q79!#;7$$"1;aQym;c#)!#;$"28,oh*Q7:9!#<7$$"1*\7y5"4#G)!#;$"2B\C$G$*4<9!#<7$$"1%eRs`:!3$)!#;$"2FK['*G#H=9!#<7$$"1nmmm*RRL)!#;$"2D"e()4<o=9!#<7$$"1mT5S9Xg$)!#;$"2o0(\YtA=9!#<7$$"1n;a8H'pQ)!#;$"1"e/_L*)oT"!#;7$$"1n"zpQuMT)!#;$"20=65bYYT"!#<7$$"1nmTge)*R%)!#;$"2O0XhZy9T"!#<7$$"1n;H2)3I\)!#;$"13>bbyG-9!#;7$$"1mm;a<.Y&)!#;$"27AOHIo"*Q"!#<7$$".vV`*>^')!#8$"2'pv]L/,^8!#<7$$"1LLe9tOc()!#;$"2CYg!)fcgH"!#<7$$"1m;H#e0I&))!#;$"2:')[ps`.B"!#<7$$"*&Qk\*)!"*$"28"RH,q3]6!#<7$$"1nmT5ASg!*!#;$"2N:]1az2/"!#<7$$"1LL$3dg6<*!#;$"1"*=cU9+X"*!#<7$$"-voTAq#*!#7$"1:*y*yEr$*y!#<7$$"1mmmmxGp$*!#;$"0od+')[tb'!#;7$$"/DJ&**)4A%*!#9$"1bzA0E\Be!#<7$$"1L$eRA5\Z*!#;$"1bVxFx9%3&!#<7$$"1mTg_9sF&*!#;$"1J1fxT(zM%!#<7$$"-D"oK0e*!#7$"1'ejNEt[i$!#<7$$"*&oi"o*!"*$"1'Q"Q!['H>B!#<7$$"-v=5s#y*!#7$"2eO.Qm$[)>"!#=7$$".v$40O"*)*!#8$"1@'G`gvgM$!#=7$$"#5!""$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%%VIEWG6$;$""!!""$"#5!""%(DEFAULTG-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"$?&!""-%)BOUNDS_YG6#$"#]!""-%-BOUNDS_WIDTHG6#$"%SL!""-%.BOUNDS_HEIGHTG6#$"%?H!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"Ig==
Here is the less efficient method with more typing:
plot([
x * (1-x)^2,
2^(3/2) * x^2 * (1-x)^2,
3^(3/2) * x^3 * (1-x)^2,
4^(3/2) * x^4 * (1-x)^2,
5^(3/2) * x^5 * (1-x)^2,
6^(3/2) * x^6 * (1-x)^2,
7^(3/2) * x^7 * (1-x)^2,
8^(3/2) * x^8 * (1-x)^2,
9^(3/2) * x^9 * (1-x)^2,
10^(3/2) * x^10 * (1-x)^2
],x=0..1);
63-%'CURVESG6$7X7$$""!!""$""!!""7$$"2LLL$3x&)*3"!#=$"2NmMSOJi1"!#=7$$"2mmmmT:(z@!#=$"2ORI#[ys&3#!#=7$$"-D"y%*z7$!#8$"2Z+;UHo`$H!#=7$$"2NLLe9ui2%!#=$"1"Hi"pqs]P!#<7$$"-voMrU^!#8$"1_+qCYOFY!#<7$$"1nmm"z_"4i!#<$"20\](H(>?Y&!#=7$$"1nmmm6m#G(!#<$"1m$Q_DV0E'!#<7$$"1mmmT&phN)!#<$"1zw6$e0!=q!#<7$$"-v=ddC%*!#8$"1f=+FZ$=t(!#<7$$"2KL$e*=)H\5!#<$"1er#e/fkS)!#<7$$"2mm;z/3uC"!#<$"1'e-K%o7c&*!#<7$$"2)***\7LRDX"!#<$"2V`j%G>@h5!#<7$$"2lm;zR'ok;!#<$"1P482<ec6!#;7$$"2)***\i5`h(=!#<$"24(['3n-#Q7!#<7$$"2NLL$3En$4#!#<$"2%>j'f,b(38!#<7$$"2nmmT!RE&G#!#<$"2igW\,C,O"!#<7$$"+D.&4]#!#5$"2;QcI2GkS"!#<7$$"+vB_<F!#5$"2Bj5-(QAT9!#<7$$"+v'Hi#H!#5$"1d/$fVLUY"!#;7$$"2mm;z*ev:J!#<$"2m(HT'[WmZ"!#<7$$"1LLL347TL!#;$"2<#>d@aZ"["!#<7$$"1LLLLY.KN!#;$"2&QrZ7<hx9!#<7$$"-D"o7Tv$!#7$"1,^[n4_k9!#;7$$"1LLL$Q*o]R!#;$"1p3/_:sX9!#;7$$"-D"=lj;%!#7$"2X0!)Q.oyT"!#<7$$"-vV&R<P%!#7$"1iliR(\[Q"!#;7$$"2NLLe9Ege%!#<$"1M_$4I:UM"!#;7$$"2LL$eR"3Gy%!#<$"2EW([&*o$=I"!#<7$$"2mmmT5k]*\!#<$"19CgaFB^7!#;7$$"1mm"zRQb@&!#;$"2vb;Fp#*Q>"!#<7$$"-v=>Y2a!#7$"2$>&y!\(409"!#<7$$"1mm;zXu9c!#;$"21w%3(\T(z5!#<7$$"*&y))Ge!"*$"1ml3+-795!#;7$$"1****\i_QQg!#;$"1n!=,8yoZ*!#<7$$"1***\7y%3Ti!#;$"13O_bbI=))!#<7$$"1****\P![hY'!#;$"1W/E)f'*\2)!#<7$$"1LLL$Qx$om!#;$"1r">!>]q,u!#<7$$"+v.I%)o!#5$"0>RE_#*Ho'!#;7$$"1mm"zpe*zq!#;$"1)=`pvEo.'!#<7$$"+D\'QH(!#5$"1-2KC">9M&!#<7$$"1KLe9S8&\(!#;$"1:!fB67Fq%!#<7$$"1***\i?=bq(!#;$"1)3e55$ocS!#<7$$"1LLL3s?6z!#;$"2;8^\Z.<X$!#=7$$"-DJXaE")!#7$"2s`t@O$G_G!#=7$$"1nmmm*RRL)!#;$"11e]:%)H8B!#<7$$"1mm;a<.Y&)!#;$"2sP\EL^m!=!#=7$$"1LLe9tOc()!#;$"23z^sDzUN"!#=7$$"*&Qk\*)!"*$"1kJq_qnt)*!#=7$$"1LL$3dg6<*!#;$"0JvG>c.I'!#<7$$"1mmmmxGp$*!#;$"1p'>u>$3FP!#=7$$"-D"oK0e*!#7$"27lPD&=s&o"!#>7$$"-v=5s#y*!#7$"2ZSnR#yV=Y!#?7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7Y7$$""!!""$""!!""7$$"2LLL$3x&)*3"!#=$"2%Qf6)yYnG$!#?7$$"2mmmmT:(z@!#=$"2E=^])e)eG"!#>7$$"-D"y%*z7$!#8$"1-sQU*4qf#!#=7$$"2NLLe9ui2%!#=$"1Am31*zVK%!#=7$$"1nmm"z_"4i!#<$"1$Q&))HMZ#f*!#=7$$"1mmmT&phN)!#<$"2A*)*)yu#pe;!#=7$$"2KL$e*=)H\5!#<$"14o:kA#\\#!#<7$$"2mm;z/3uC"!#<$"1$*pt3`frL!#<7$$"2)***\7LRDX"!#<$"2Cg;=$[))fV!#=7$$"2lm;zR'ok;!#<$"1J,*oQ+dW&!#<7$$"2)***\i5`h(=!#<$"1w_Td'*fql!#<7$$"2NLL$3En$4#!#<$"0n'[rf=]x!#;7$$"2nmmT!RE&G#!#<$"1'e%RyoV"z)!#<7$$"+D.&4]#!#5$"1Q:G]'G([**!#<7$$"+vB_<F!#5$"2B*4s?*px5"!#<7$$"+v'Hi#H!#5$"2#[H`b9*=@"!#<7$$"2mm;z*ev:J!#<$"28Btxy?8I"!#<7$$"1LLL347TL!#;$"1P"osg6+S"!#;7$$"1LLLLY.KN!#;$"1:V^b#\hZ"!#;7$$"-D"o7Tv$!#7$"2\UIJli]b"!#<7$$"1LLL$Q*o]R!#;$"2(f#px_$[:;!#<7$$"-D"=lj;%!#7$"08Yof_3n"!#:7$$"-vV&R<P%!#7$"1HN))>qQ7<!#;7$$"2NLLe9Ege%!#<$"2tWW#GShV<!#<7$$"2LL$eR"3Gy%!#<$"2N`:c2-6w"!#<7$$".v=7O*))[!#8$"2Q?NZ#H-m<!#<7$$"2mmmT5k]*\!#<$"2\(*4v]jxw"!#<7$$"1m;/^7I0^!#;$"28mR2<*>m<!#<7$$"1mm"zRQb@&!#;$"1DWdtI?h<!#;7$$"-v=>Y2a!#7$"1_kn0aOW<!#;7$$"1mm;zXu9c!#;$"2FvlxAEZr"!#<7$$"*&y))Ge!"*$"2Mk&RPy$>n"!#<7$$"1****\i_QQg!#;$"2wi\%)eo&=;!#<7$$"1***\7y%3Ti!#;$"2%4*)='GZmb"!#<7$$"1****\P![hY'!#;$"2uW#QH%QoZ"!#<7$$"1LLL$Qx$om!#;$"2X*)zY-PgR"!#<7$$"+v.I%)o!#5$"1KQCc]H,8!#;7$$"1mm"zpe*zq!#;$"2[k$pXM))37!#<7$$"+D\'QH(!#5$"2OO`**fV>5"!#<7$$"1KLe9S8&\(!#;$"0'=8"\'[p**!#;7$$"1***\i?=bq(!#;$"1$)f$ykO8%))!#<7$$"1LLL3s?6z!#;$"1(y:p%fiBx!#<7$$"-DJXaE")!#7$"10=T&**pgb'!#<7$$"1nmmm*RRL)!#;$"1Pt)\d$*GX&!#<7$$"1mm;a<.Y&)!#;$"2v(*G4`1qO%!#=7$$"1LLe9tOc()!#;$"1J`r\"4TN$!#<7$$"*&Qk\*)!"*$"2..$z*)[O*\#!#=7$$"1LL$3dg6<*!#;$"2'ycpL)4Vj"!#=7$$"1mmmmxGp$*!#;$"1vl[[+!p()*!#=7$$"-D"oK0e*!#7$"1e#pC&=%zc%!#=7$$"*&oi"o*!"*$"2cj(yQ+H(o#!#>7$$"-v=5s#y*!#7$"2'eTH8&3zF"!#>7$$".v$40O"*)*!#8$"1QA].F7mK!#>7$$"#5!""$""!!""-%&COLORG6&%$RGBG$")Vyg>!")$"(;#R!)!"($")Vyg>!")-%'CURVESG6$7en7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1)40&HB>\^!#?7$$"2NLLe9ui2%!#=$"2mdhuW_$QK!#?7$$"1nmm"z_"4i!#<$"2>iwe)y?%4"!#>7$$"1mmmT&phN)!#<$"21X$ouHIYD!#>7$$"2KL$e*=)H\5!#<$"1-]\"R@%4[!#=7$$"2mm;z/3uC"!#<$"1.(*zCbYEx!#=7$$"2)***\7LRDX"!#<$"2A2:1zGM;"!#=7$$"2lm;zR'ok;!#<$"2Kf@oE<am"!#=7$$"2)***\i5`h(=!#<$"2C_r0N(pkA!#=7$$"2NLL$3En$4#!#<$"2A/PLAr4)H!#=7$$"2nmmT!RE&G#!#<$"1[Xtrq!4p$!#<7$$"+D.&4]#!#5$"0u*)RI#)4d%!#;7$$"+vB_<F!#5$"1G&oetQ/`&!#<7$$"+v'Hi#H!#5$"1CaTE!>\^'!#<7$$"2mm;z*ev:J!#<$"1`>N6?x[u!#<7$$"1LLL347TL!#;$"1T6&)4ZJ$f)!#<7$$"1LLLLY.KN!#;$"1,nzF6Qy&*!#<7$$"-D"o7Tv$!#7$"2#4!yn6([s5!#<7$$"1LLL$Q*o]R!#;$"2&pT(H`)\s6!#<7$$"-D"=lj;%!#7$"2T.,0b())y7!#<7$$"-vV&R<P%!#7$"1.KQLiGv8!#;7$$"2NLLe9Ege%!#<$"1X2%fn1!p9!#;7$$"2LL$eR"3Gy%!#<$"2Og@)ejSZ:!#<7$$"2mmmT5k]*\!#<$"2i-t6\">A;!#<7$$"1mm"zRQb@&!#;$"/aUil](o"!#97$$"-v=>Y2a!#7$"2w"ywUt(Gt"!#<7$$"1mm;zXu9c!#;$"2k(y8x0to<!#<7$$"1LLe9i"=s&!#;$"2lCJ'p#o:y"!#<7$$"*&y))Ge!"*$"2V7a&z'p.z"!#<7$$"1***\ibOO$f!#;$"27_Pgdp\z"!#<7$$"1****\i_QQg!#;$"1m19zS^&z"!#;7$$"1**\(=-N(Rh!#;$"2s/;<R6@z"!#<7$$"1***\7y%3Ti!#;$"2X-;+F!z%y"!#<7$$"1**\P4kh`j!#;$"2eYq3&Q-s<!#<7$$"1****\P![hY'!#;$"1RQ*G2ZVv"!#;7$$"1LLL$Qx$om!#;$"2V3y4$zA5<!#<7$$"+v.I%)o!#5$"2W2])\EyX;!#<7$$"1mm"zpe*zq!#;$"2&o*>K?gBd"!#<7$$"+D\'QH(!#5$"2vYHmwplZ"!#<7$$"1KLe9S8&\(!#;$"2PE!H-Dus8!#<7$$"1***\i?=bq(!#;$"2:P;oQu:D"!#<7$$"1LLL3s?6z!#;$"2w\@"fv`A6!#<7$$"-DJXaE")!#7$"1<D")p$Hyy*!#<7$$"1nmmm*RRL)!#;$"1,Me,?h[$)!#<7$$"1mm;a<.Y&)!#;$"1&Q=ppFi&o!#<7$$"1LLe9tOc()!#;$"2WHhJ%*ybR&!#=7$$"*&Qk\*)!"*$"20KKH=U$4T!#=7$$"1LL$3dg6<*!#;$"2Pv6bcmNv#!#=7$$"1mmmmxGp$*!#;$"2sw7d^f+q"!#=7$$"-D"oK0e*!#7$"1(*GKhX$)R!)!#=7$$"*&oi"o*!"*$"0:t$[/pzZ!#<7$$"-v=5s#y*!#7$"1AP%)ezl'H#!#=7$$"/D1k2/P)*!#9$"1/.r5'4NJ"!#=7$$".v$40O"*)*!#8$"1YXQHT1Nf!#>7$$"/voa-oX**!#9$"2jB.nUX$3:!#?7$$"#5!""$""!!""-%&COLORG6&%$RGBG$")(>!\&)!")$")%)eqk!")$"(-\D"!"(-%'CURVESG6$7\o7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1Bn%f.8!G<!#@7$$"2NLLe9ui2%!#=$"2$4@,MkLK?!#@7$$"1nmm"z_"4i!#<$"1/XtJ2-Y5!#>7$$"1mmmT&phN)!#<$"1^`P&pgeF$!#>7$$"2KL$e*=)H\5!#<$"1zLkS9ipx!#>7$$"2mm;z/3uC"!#<$"26J%R#ovQ["!#>7$$"2)***\7LRDX"!#<$"2'e%y>S6=g#!#>7$$"2lm;zR'ok;!#<$"1'=%QO^QoU!#=7$$"2)***\i5`h(=!#<$"1_")p%pQ;a'!#=7$$"2NLL$3En$4#!#<$"1m%*p:=#*3'*!#=7$$"2nmmT!RE&G#!#<$"2:=E,^1')H"!#=7$$"+D.&4]#!#5$"2j!o:*pS+w"!#=7$$"+vB_<F!#5$"29,$[I*zQJ#!#=7$$"+v'Hi#H!#5$"2#)piy!y6NH!#=7$$"2mm;z*ev:J!#<$"2v%\3W3>tN!#=7$$"1LLL347TL!#;$"1xI,SVR?W!#<7$$"1LLLLY.KN!#;$"1_QFe*\'3_!#<7$$"-D"o7Tv$!#7$"1u$zH7)z)>'!#<7$$"1LLL$Q*o]R!#;$"1Qap8QqJr!#<7$$"-D"=lj;%!#7$"1$>/S%QZ.#)!#<7$$"-vV&R<P%!#7$"1C*[F!\oc#*!#<7$$"2NLLe9Ege%!#<$"28Z<K29s."!#<7$$"2LL$eR"3Gy%!#<$"20([]V/XR6!#<7$$"2mmmT5k]*\!#<$"2F!*Q(Q3`Z7!#<7$$"1mm"zRQb@&!#;$"2jnHO*=/b8!#<7$$"-v=>Y2a!#7$"1)*[,jznU9!#;7$$"1mm;zXu9c!#;$"1Qcu=H(*G:!#;7$$"*&y))Ge!"*$"2')*pn"Q1ng"!#<7$$"1****\i_QQg!#;$"23"==%)fBp;!#<7$$"1***\7y%3Ti!#;$"2v%G'oXl\r"!#<7$$"1**\P4kh`j!#;$"1rfdp%*RL<!#;7$$"1****\P![hY'!#;$"27o%\8F]Y<!#<7$$"1mmT5FEnl!#;$"21Q,Vv6Nv"!#<7$$"1LLL$Qx$om!#;$"2'[$e,@Hev"!#<7$$"1mm;z)Qjx'!#;$"2D@`$Q([Hv"!#<7$$"+v.I%)o!#5$"2lL:j<xVu"!#<7$$"1K$ek`H@)p!#;$"2ykqo)3eJ<!#<7$$"1mm"zpe*zq!#;$"2$p!\]G@Rr"!#<7$$"+D\'QH(!#5$"10*GLkM"e;!#;7$$"1KLe9S8&\(!#;$"1:9V#4ySe"!#;7$$"1***\i?=bq(!#;$"1')oiJaz%["!#;7$$"1LLL3s?6z!#;$"12jr0?En8!#;7$$"-DJXaE")!#7$"2C7>rO<YA"!#<7$$"1nmmm*RRL)!#;$"2b.3IR072"!#<7$$"1nmTge)*R%)!#;$"1hJnX:-z)*!#<7$$"1mm;a<.Y&)!#;$"12Uokb1@!*!#<7$$".vV`*>^')!#8$"1vwP)H)\_")!#<7$$"1LLe9tOc()!#;$"1[=@9p%RF(!#<7$$"1m;H#e0I&))!#;$"1h?7![/^Y'!#<7$$"*&Qk\*)!"*$"1p8G*\7Am&!#<7$$"1nmT5ASg!*!#;$"1n]a:y_fZ!#<7$$"1LL$3dg6<*!#;$"1L,U[a,))Q!#<7$$"-voTAq#*!#7$"1_A^kb^YJ!#<7$$"1mmmmxGp$*!#;$"2kb%H?%HBX#!#=7$$"-D"oK0e*!#7$"2uYO\F"*e="!#=7$$"*&oi"o*!"*$"14]5R*HX7(!#=7$$"-v=5s#y*!#7$"1PBizx5fM!#=7$$"/D1k2/P)*!#9$"1e(ROTD$*)>!#=7$$".v$40O"*)*!#8$"1$*y2e#e$Q!*!#>7$$"1^7.#Q?&=**!#;$"1&4^#>n9S^!#>7$$"/voa-oX**!#9$"2Mjm/IN'4B!#?7$$"0vVt7SG(**!#:$"1\Ub&3>u$e!#?7$$"#5!""$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%'CURVESG6$7`o7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1p)=9!4&RE&!#B7$$"2NLLe9ui2%!#=$"1'Q!RrXxd6!#@7$$"1nmm"z_"4i!#<$"1TI)3D-p2*!#@7$$"1mmmT&phN)!#<$"29yE)=NeDQ!#@7$$"2KL$e*=)H\5!#<$"2<umWVn$R6!#?7$$"2mm;z/3uC"!#<$"1x7*3+\oe#!#>7$$"2)***\7LRDX"!#<$"1%Q/ABR;G&!#>7$$"2lm;zR'ok;!#<$"1M#\n#)p-$**!#>7$$"2)***\i5`h(=!#<$"2)>n_q+A:<!#>7$$"2NLL$3En$4#!#<$"2d#))*\3n:"G!#>7$$"2nmmT!RE&G#!#<$"1D&GR&*Gu9%!#=7$$"+D.&4]#!#5$"1-0hzmm^h!#=7$$"+vB_<F!#5$"1Cb/zdx(y)!#=7$$"+v'Hi#H!#5$"28b&H>`K+7!#=7$$"2mm;z*ev:J!#<$"2[-\`m5fb"!#=7$$"1LLL347TL!#;$"2`"z9`0/k?!#=7$$"1LLLLY.KN!#;$"2jG.`Ox5d#!#=7$$"-D"o7Tv$!#7$"0e&=_#>AD$!#;7$$"1LLL$Q*o]R!#;$"1*)Q(RV'fPR!#<7$$"-D"=lj;%!#7$"1Z-yMShwZ!#<7$$"-vV&R<P%!#7$"2E?A"Q"\bl&!#=7$$"2NLLe9Ege%!#<$"1bcOnvnZm!#<7$$"2LL$eR"3Gy%!#<$"1<Vv/"*G;w!#<7$$"2mmmT5k]*\!#<$"17yoD6y3()!#<7$$"1mm"zRQb@&!#;$"1mu'\J9o()*!#<7$$"-v=>Y2a!#7$"2:CZ")\a-4"!#<7$$"1mm;zXu9c!#;$"2u?/A@h(*>"!#<7$$"*&y))Ge!"*$"2as5X/U)38!#<7$$"1****\i_QQg!#;$"2/&)yka^'39!#<7$$"1***\7y%3Ti!#;$"2A/$QOR#e\"!#<7$$"1****\P![hY'!#;$"2FY"y1]Ey:!#<7$$"1LLL$Qx$om!#;$"2$y&3I1<jj"!#<7$$"1mm;z)Qjx'!#;$"2xE5+G"3g;!#<7$$"+v.I%)o!#5$"2d'pL>JGy;!#<7$$"1K$ek`H@)p!#;$"27<,K#fk*o"!#<7$$"1mm"zpe*zq!#;$"2Pz'*))zYep"!#<7$$"1*\(oa_VLr!#;$"2CfPS2ipp"!#<7$$"1L$e9"="p=(!#;$"2WW0Of>kp"!#<7$$"1n"H#o$)QSs!#;$"2kQm$HF=%p"!#<7$$"+D\'QH(!#5$"2m%H3Zs@!p"!#<7$$"1n;zp%*\%R(!#;$"1s$z$H'ezn"!#;7$$"1KLe9S8&\(!#;$"2$\Fc'3&Gf;!#<7$$"1***\i?=bq(!#;$"22hR9)[%*)f"!#<7$$"1LLL3s?6z!#;$"1(*yT2)y;^"!#;7$$"-DJXaE")!#7$"2vC*=k8#3R"!#<7$$"1L$e*[ACI#)!#;$"2Qw9b%zMA8!#<7$$"1nmmm*RRL)!#;$"20O%f*oOwC"!#<7$$"1nmTge)*R%)!#;$"2>#\X%=a_;"!#<7$$"1mm;a<.Y&)!#;$"2L3L_xDu2"!#<7$$".vV`*>^')!#8$"11f$Q&>rc)*!#<7$$"1LLe9tOc()!#;$"1;p[5kT,*)!#<7$$"1m;H#e0I&))!#;$"1r4p;">*)*z!#<7$$"*&Qk\*)!"*$"1a&z#Ql,#3(!#<7$$"1nmT5ASg!*!#;$"2CG(p"\bm-'!#=7$$"1LL$3dg6<*!#;$"1:%G$[II$)\!#<7$$"-voTAq#*!#7$"1)pb$\$yk2%!#<7$$"1mmmmxGp$*!#;$"1Z5QyY26K!#<7$$"1L$eRA5\Z*!#;$"2Y;&R_A&RN#!#=7$$"-D"oK0e*!#7$"2(>J(*=P"ye"!#=7$$"*&oi"o*!"*$"07BYWM)R'*!#<7$$"-v=5s#y*!#7$"1u54#*>@HZ!#=7$$"/D1k2/P)*!#9$"12zU)Rh[t#!#=7$$".v$40O"*)*!#8$"1`T%3=E%\7!#=7$$"1^7.#Q?&=**!#;$"0L!GU>/Dr!#=7$$"/voa-oX**!#9$"1H'>*e+G5K!#>7$$"0vVt7SG(**!#:$"1KcKWS)e8)!#?7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"(=TH(!"($")MLLL!")$"'^u#)!"'-%'CURVESG6$7\o7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"2W))GvG&G3:!#D7$$"2NLLe9ui2%!#=$"1aZ%Q-@Q?'!#B7$$"1nmm"z_"4i!#<$"1;5y+xp3u!#A7$$"1mmmT&phN)!#<$"1%>Jvy+A?%!#@7$$"2KL$e*=)H\5!#<$"2/(G1IJdr:!#@7$$"2mm;z/3uC"!#<$"2'z(ear7=C%!#@7$$"2)***\7LRDX"!#<$"2)*yvp"G[35!#?7$$"2lm;zR'ok;!#<$"20w"HN"GI<#!#?7$$"2)***\i5`h(=!#<$"1_e0$=">IU!#>7$$"2NLL$3En$4#!#<$"1>F*y]1!Qx!#>7$$"2nmmT!RE&G#!#<$"2)e=!3Z6fC"!#>7$$"+D.&4]#!#5$"2MQD:X7C-#!#>7$$"+vB_<F!#5$"2wz)y"*fBRJ!#>7$$"+v'Hi#H!#5$"1)\:n%f?<Y!#=7$$"2mm;z*ev:J!#<$"1$GlfK[EP'!#=7$$"1LLL347TL!#;$"1kT;;AIl!*!#=7$$"1LLLLY.KN!#;$"2dR@[5YP>"!#=7$$"-D"o7Tv$!#7$"2eo!*fpS\g"!#=7$$"1LLL$Q*o]R!#;$"29FY5G=\/#!#=7$$"-D"=lj;%!#7$"1)4#)>&*pgh#!#<7$$"-vV&R<P%!#7$"18()Gs98]K!#<7$$"2NLLe9Ege%!#<$"1uIU&RWv+%!#<7$$"2LL$eR"3Gy%!#<$"14>F0j[)y%!#<7$$"2mmmT5k]*\!#<$"17(QkVW$=d!#<7$$"1mm"zRQb@&!#;$"1@"4i7Z:x'!#<7$$"-v=>Y2a!#7$"1:(pft[)\x!#<7$$"1mm;zXu9c!#;$"0/C?nl^&))!#;7$$"*&y))Ge!"*$"2y!od$QqG+"!#<7$$"1****\i_QQg!#;$"2_Ird?S"=6!#<7$$"1***\7y%3Ti!#;$"2ld*=e<>F7!#<7$$"1****\P![hY'!#;$"2&H!o(*)3_T8!#<7$$"1LLL$Qx$om!#;$"2doi3SkVV"!#<7$$"+v.I%)o!#5$"1<b"Q7(y=:!#;7$$"1mm"zpe*zq!#;$"2bN6yt)Hy:!#<7$$"1L$e9"="p=(!#;$"2'*fG"*Q#o-;!#<7$$"+D\'QH(!#5$"2NCVz6'e?;!#<7$$"1LeR(>#=Wt!#;$"2in:sU7mi"!#<7$$"1n;zp%*\%R(!#;$"2<sod")H5j"!#<7$$"1*\(=Un"[W(!#;$"1,&o"fbyL;!#;7$$"1KLe9S8&\(!#;$"2%Rf(e!)G[j"!#<7$$",D1Ixa(!#6$"2%[6Bae.M;!#<7$$"1mmT5hK+w!#;$"2E2=tkl7j"!#<7$$"1LLLe@#Hl(!#;$"1AWhH%oki"!#;7$$"1***\i?=bq(!#;$"1B&G,$zf>;!#;7$$"1m;H2FO3y!#;$"2o:`"3_,+;!#<7$$"1LLL3s?6z!#;$"2_=!oG#y?d"!#<7$$"-DJXaE")!#7$"2DE:9khd["!#<7$$"1nmmm*RRL)!#;$"1m@\3q"oO"!#;7$$"1nmTge)*R%)!#;$"2F=0*z'3GH"!#<7$$"1mm;a<.Y&)!#;$"2')*GKbbQ57!#<7$$".vV`*>^')!#8$"2$3#=*pX$47"!#<7$$"1LLe9tOc()!#;$"2&Q&)=J9gC5!#<7$$"1m;H#e0I&))!#;$"1:4;jX!)3$*!#<7$$"*&Qk\*)!"*$"12IuKzrJ$)!#<7$$"1nmT5ASg!*!#;$"0,,40sy<(!#;7$$"1LL$3dg6<*!#;$"1cpn5Bx2g!#<7$$"-voTAq#*!#7$"2&e\:rrgn\!#=7$$"1mmmmxGp$*!#;$"1'=PqSR[&R!#<7$$"1L$eRA5\Z*!#;$"2V.J*3%p=$H!#=7$$"-D"oK0e*!#7$"2y#\HPEo**>!#=7$$"*&oi"o*!"*$"2"e:@Y_%oA"!#=7$$"-v=5s#y*!#7$"1&[0ZbM;3'!#=7$$"#5!""$""!!""-%&COLORG6&%$RGBG$""!!""$"):Vy!)!")$")&yg>)!")-%'CURVESG6$7_o7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1<$oYp!*G9%!#E7$$"2NLLe9ui2%!#=$"1fhL(47n=$!#C7$$"1nmm"z_"4i!#<$"1[v,w7)oz&!#B7$$"1mmmT&phN)!#<$"2u[rM"y!\U%!#B7$$"2KL$e*=)H\5!#<$"1&RmB/R!y?!#@7$$"2mm;z/3uC"!#<$"1%)pnNRwnm!#@7$$"2)***\7LRDX"!#<$"2Z:&R"yNf%=!#@7$$"2lm;zR'ok;!#<$"1#3*3u!e%eX!#?7$$"2)***\i5`h(=!#<$"2@'>M#e6,+"!#?7$$"2NLL$3En$4#!#<$"2r$p7=2aT?!#?7$$"2nmmT!RE&G#!#<$"2kl!\x!Gze$!#?7$$"+D.&4]#!#5$"1FNJ[$\PP'!#>7$$"+vB_<F!#5$"2F1<n"=-v5!#>7$$"+v'Hi#H!#5$"2#*3(**G7e-<!#>7$$"2mm;z*ev:J!#<$"22N#QiO4-D!#>7$$"1LLL347TL!#;$"2:F0NMen"Q!#>7$$"1LLLLY.KN!#;$"17rx;:@8`!#=7$$"-D"o7Tv$!#7$"2vIiPKHDf(!#>7$$"1LLL$Q*o]R!#;$"2P*3)*4)\!=5!#=7$$"-D"=lj;%!#7$"2/HnuK%\t8!#=7$$"-vV&R<P%!#7$"2V$G-/W]!z"!#=7$$"2NLLe9Ege%!#<$"2Q=MVK")fJ#!#=7$$"2LL$eR"3Gy%!#<$"2Pw)=sO.')G!#=7$$"2mmmT5k]*\!#<$"2D$fi5?T*f$!#=7$$"1mm"zRQb@&!#;$"2m!z5ER[]W!#=7$$"-v=>Y2a!#7$"16i$e1()3G&!#<7$$"1mm;zXu9c!#;$"1PtueAPli!#<7$$"*&y))Ge!"*$"1y+&e%=Kmt!#<7$$"1****\i_QQg!#;$"1Z)e'3<>3&)!#<7$$"1***\7y%3Ti!#;$"0uD9#HX^'*!#;7$$"1****\P![hY'!#;$"2=bs+\3J4"!#<7$$"1LLL$Qx$om!#;$"27uMB.8`?"!#<7$$"+v.I%)o!#5$"1vZm@(zvJ"!#;7$$"1mm"zpe*zq!#;$"1"\D=Y@"39!#;7$$"+D\'QH(!#5$"2nV@(3E`*["!#<7$$"1n;zp%*\%R(!#;$"1VGs!\:)>:!#;7$$"1KLe9S8&\(!#;$"2%*pq?O(3W:!#<7$$"1mmT5hK+w!#;$"2/!*=kdXBc"!#<7$$"1***\i?=bq(!#;$"2n=U!\(REd"!#<7$$"1L3xc/%pv(!#;$"1JU5C'pXd"!#;7$$"1m;H2FO3y!#;$"2#G:i@3Ou:!#<7$$"1*\7y&\yfy!#;$"1<U">0U>d"!#;7$$"1LLL3s?6z!#;$"2nV*\PdCn:!#<7$$"1m;zpe()=!)!#;$"2#)fK5^h(\:!#<7$$"-DJXaE")!#7$"22`LG_6:_"!#<7$$"1nmmm*RRL)!#;$"2:$Rx!REaV"!#<7$$"1nmTge)*R%)!#;$"2()\z(3$z\P"!#<7$$"1mm;a<.Y&)!#;$"1=pDY@\.8!#;7$$".vV`*>^')!#8$"2^h7Un:?A"!#<7$$"1LLe9tOc()!#;$"2kUwEJu08"!#<7$$"1m;H#e0I&))!#;$"2kfWk,'\Q5!#<7$$"*&Qk\*)!"*$"1F!H4OyjR*!#<7$$"1nmT5ASg!*!#;$"1V*\$Q?F&>)!#<7$$"1LL$3dg6<*!#;$"1yM2iB<Vp!#<7$$"-voTAq#*!#7$"1NS5&3oI!e!#<7$$"1mmmmxGp$*!#;$"024uDT$pY!#;7$$"1L$eRA5\Z*!#;$"1<oC=#z0]$!#<7$$"-D"oK0e*!#7$"29>g]0(=9C!#=7$$"*&oi"o*!"*$"21X@H;"y'\"!#=7$$"-v=5s#y*!#7$"1Y'o9e=s\(!#=7$$"/D1k2/P)*!#9$"1b!oIPcQQ%!#=7$$".v$40O"*)*!#8$"1l0GE>&\-#!#=7$$"1^7.#Q?&=**!#;$"2PGh`r46;"!#>7$$"/voa-oX**!#9$"1K];L1Ag_!#>7$$"0vVt7SG(**!#:$"0Q2VI+/M"!#=7$$"#5!""$""!!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7^o7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"2[KP]$QH.6!#G7$$"2NLLe9ui2%!#=$"19<\zG1(e"!#D7$$"1nmm"z_"4i!#<$"1a"H)f$*e(R%!#C7$$"1mmmT&phN)!#<$"1[Ob)y7v^%!#B7$$"2KL$e*=)H\5!#<$"1yh"o!)QSm#!#A7$$"2mm;z/3uC"!#<$"2u!**e?T>;5!#A7$$"2)***\7LRDX"!#<$"2C)pfxL"fF$!#A7$$"2lm;zR'ok;!#<$"1lI,;0Dr#*!#@7$$"2)***\i5`h(=!#<$"2Y+>=CvCH#!#@7$$"2NLL$3En$4#!#<$"16"G,)[@A_!#?7$$"2nmmT!RE&G#!#<$"2b'3/r*p<+"!#?7$$"+D.&4]#!#5$"2`"e:(3Zv%>!#?7$$"+vB_<F!#5$"2$Q;#y;h#pN!#?7$$"+v'Hi#H!#5$"11(H@>7q3'!#>7$$"2mm;z*ev:J!#<$"1,.WJ!zZ_*!#>7$$"1LLL347TL!#;$"22az1FE!e:!#>7$$"1LLLLY.KN!#;$"13,:%4?GH#!#=7$$"-D"o7Tv$!#7$"298ADWCC[$!#>7$$"1LLL$Q*o]R!#;$"2b\dV")RR"\!#>7$$"-D"=lj;%!#7$"1kaAh$G:*p!#=7$$"-vV&R<P%!#7$"1`<%[6;Nc*!#=7$$"2NLLe9Ege%!#<$"1#pKJwbwH"!#<7$$"2LL$eR"3Gy%!#<$"27pjmNXko"!#=7$$"2mmmT5k]*\!#<$"2U)G@)R[m>#!#=7$$"1mm"zRQb@&!#;$"1dD?[@#f$G!#<7$$"-v=>Y2a!#7$"14>zyz*))[$!#<7$$"1mm;zXu9c!#;$"1>+v-T)zH%!#<7$$"*&y))Ge!"*$"1=D=n>&fC&!#<7$$"1****\i_QQg!#;$"19y\2:"pF'!#<7$$"1***\7y%3Ti!#;$"1KT?P5Pft!#<7$$"1****\P![hY'!#;$"13J]qdoN')!#<7$$"1LLL$Qx$om!#;$"1")>!3%)>*>)*!#<7$$"+v.I%)o!#5$"287:cb;#36!#<7$$"1mm"zpe*zq!#;$"2&e!o-=K!=7!#<7$$"+D\'QH(!#5$"1xQXo6QF8!#;7$$"1KLe9S8&\(!#;$"2.'y'=tmRT"!#<7$$"1***\i?=bq(!#;$"04CJ;O0["!#:7$$"1m;H2FO3y!#;$"2aB,*y&Q>]"!#<7$$"1LLL3s?6z!#;$"1:vkLN%[^"!#;7$$"/D1R:/lz!#9$"2bY9UVDz^"!#<7$$"1m;zpe()=!)!#;$"2X;'o!QI$=:!#<7$$"1L3_+-rs!)!#;$"21Ii0nYf^"!#<7$$"-DJXaE")!#7$"1`]d%>o1^"!#;7$$"1L$e*[ACI#)!#;$"2u$z;n>)>\"!#<7$$"1nmmm*RRL)!#;$"2$*ePdjo:Y"!#<7$$"1nmTge)*R%)!#;$"2N,SqNNyT"!#<7$$"1mm;a<.Y&)!#;$"2.z*G7&35O"!#<7$$".vV`*>^')!#8$"2YZD8jQ;H"!#<7$$"1LLe9tOc()!#;$"29Z/ZH9&47!#<7$$"1m;H#e0I&))!#;$"2Cr5hFoK7"!#<7$$"*&Qk\*)!"*$"1H')feXVF5!#;7$$"1nmT5ASg!*!#;$"1e-I<3">2*!#<7$$"1LL$3dg6<*!#;$"1z)*)R-J)zx!#<7$$"-voTAq#*!#7$"1u"4!="zDd'!#<7$$"1mmmmxGp$*!#;$"20U%\!fH]M&!#=7$$"1L$eRA5\Z*!#;$"1y9aZDJ_S!#<7$$"-D"oK0e*!#7$"2K7MN-Ye#G!#=7$$"*&oi"o*!"*$"2Q!Rq[W\q<!#=7$$"-v=5s#y*!#7$"1E$QN<?3'*)!#=7$$"/D1k2/P)*!#9$"1y`rYNwo_!#=7$$".v$40O"*)*!#8$"2O-h'p"RrW#!#>7$$"1^7.#Q?&=**!#;$"2&4]km_/29!#>7$$"/voa-oX**!#9$"1QHAWq%=R'!#>7$$"0vVt7SG(**!#:$"2#odINs?L;!#?7$$"#5!""$""!!""-%&COLORG6&%$RGBG$")Vyg>!")$"(;#R!)!"($")Vyg>!")-%'CURVESG6$7\o7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"1RbVw%*epG!#H7$$"2NLLe9ui2%!#=$"17Xx#**[%>x!#F7$$"1nmm"z_"4i!#<$"1OmNya=eK!#D7$$"1mmmT&phN)!#<$"1W4X0TQ/X!#C7$$"2KL$e*=)H\5!#<$"1`/ROhbNL!#B7$$"2mm;z/3uC"!#<$"2%*QP"[[c7:!#B7$$"2)***\7LRDX"!#<$"1faw5x"zn&!#A7$$"2lm;zR'ok;!#<$"2&[m#R"zhT=!#A7$$"2)***\i5`h(=!#<$"1d&o`/y@8&!#@7$$"2NLL$3En$4#!#<$"2ueUa"[k/8!#@7$$"2nmmT!RE&G#!#<$"1R*=Y%4qJF!#?7$$"+D.&4]#!#5$"2:$\c&G\>"e!#@7$$"+vB_<F!#5$"2vj&zo8Rd6!#?7$$"+v'Hi#H!#5$"2)pV;tLSD@!#?7$$"2mm;z*ev:J!#<$"2%*)fs!zs6a$!#?7$$"1LLL347TL!#;$"1$\lAX*[6i!#>7$$"1LLLLY.KN!#;$"0Q*RW6Ej'*!#=7$$"-D"o7Tv$!#7$"2FpPYav*f:!#>7$$"1LLL$Q*o]R!#;$"1a/->d\;B!#=7$$"-D"=lj;%!#7$"0&[h/x#eZ$!#<7$$"-vV&R<P%!#7$"2&oB>HC&)))\!#>7$$"2NLLe9Ege%!#<$"1jec9m3,r!#=7$$"2LL$eR"3Gy%!#<$"1Ut%GVHYi*!#=7$$"2mmmT5k]*\!#<$"2/zX1ct#48!#=7$$"1mm"zRQb@&!#;$"2Dp1Xm3\w"!#=7$$"-v=>Y2a!#7$"1l&ySc"=^A!#<7$$"1mm;zXu9c!#;$"2%R5QkJazG!#=7$$"*&y))Ge!"*$"2N)f-X`q[O!#=7$$"1****\i_QQg!#;$"1-A'=PxE_%!#<7$$"1***\7y%3Ti!#;$"2ML:)4%=1[&!#=7$$"1****\P![hY'!#;$"1*)>$e;AIm'!#<7$$"1LLL$Qx$om!#;$"1DPIRHq8y!#<7$$"+v.I%)o!#5$"1_4J)G,O5*!#<7$$"1mm"zpe*zq!#;$"2t*=fgo+H5!#<7$$"+D\'QH(!#5$"1a:hDkEb6!#;7$$"1KLe9S8&\(!#;$"2#Rbv6Jek7!#<7$$"1***\i?=bq(!#;$"2d%p/moGh8!#<7$$"1m;H2FO3y!#;$"2&eMl))pR*R"!#<7$$"1LLL3s?6z!#;$"2W<L1"3,I9!#<7$$"1m;zpe()=!)!#;$"2_&\j;"4GX"!#<7$$"-DJXaE")!#7$"1"HTm'e)[Y"!#;7$$"1$3x1'*oC:)!#;$"2'y$QY)G0m9!#<7$$"1mT5!R$Ry")!#;$"1i<BS'4lY"!#;7$$"1\7`>yJ/#)!#;$"1_V:f(RiY"!#;7$$"1L$e*[ACI#)!#;$"2j>([8sAl9!#<7$$"1*\7y5"4#G)!#;$"2Ay*R()>"4Y"!#<7$$"1nmmm*RRL)!#;$"2X$p&*4UW`9!#<7$$"1nmTge)*R%)!#;$"2o%Qx0^*yU"!#<7$$"1mm;a<.Y&)!#;$"2lT!=iq)yQ"!#<7$$".vV`*>^')!#8$"1a_]dgNL8!#;7$$"1LLe9tOc()!#;$"1E)R;adPE"!#;7$$"1m;H#e0I&))!#;$"2/w$\pjf'="!#<7$$"*&Qk\*)!"*$"2e)\sWt?(4"!#<7$$"1nmT5ASg!*!#;$"1%[Fr]xy!)*!#<7$$"1LL$3dg6<*!#;$"1mj!o5'z8&)!#<7$$"-voTAq#*!#7$"1uq>I?Mqs!#<7$$"1mmmmxGp$*!#;$"1;PxWWlvf!#<7$$"1L$eRA5\Z*!#;$"0LQ,$3\"e%!#;7$$"-D"oK0e*!#7$"2vQn14z/B$!#=7$$"*&oi"o*!"*$"1e3W6"p`/#!#<7$$"-v=5s#y*!#7$"2'4'R)44,Y5!#=7$$".v$40O"*)*!#8$"1"HYi'yI))G!#=7$$"#5!""$""!!""-%&COLORG6&%$RGBG$")(>!\&)!")$")%)eqk!")$"(-\D"!"(-%'CURVESG6$7ao7$$""!!""$""!!""7$$"2mmmmT:(z@!#=$"14k^jD"eK(!#J7$$"2NLLe9ui2%!#=$"1vc(>&4T&o$!#G7$$"1nmm"z_"4i!#<$"29eqsuK%pB!#F7$$"1mmmT&phN)!#<$"1b,,3(y$3W!#D7$$"2KL$e*=)H\5!#<$"1=U+Q1C*4%!#C7$$"2mm;z/3uC"!#<$"28w(\q&H)4A!#C7$$"2)***\7LRDX"!#<$"1^'eX]o%f'*!#B7$$"2lm;zR'ok;!#<$"2xzH=o41f$!#B7$$"2)***\i5`h(=!#<$"2@4_!RGtF6!#A7$$"2NLL$3En$4#!#<$"1)o&[h)p"*>$!#@7$$"2nmmT!RE&G#!#<$"29/o[h([6t!#A7$$"+D.&4]#!#5$"2'></2fS-<!#@7$$"+vB_<F!#5$"1rt6w`u$o$!#?7$$"+v'Hi#H!#5$"1N^[0'pUG(!#?7$$"2mm;z*ev:J!#<$"2UFEAr]AH"!#?7$$"1LLL347TL!#;$"2%)fD&4)f1V#!#?7$$"1LLLLY.KN!#;$"1'H?#orY(*R!#>7$$"-D"o7Tv$!#7$"1_#\UK3!fo!#>7$$"1LLL$Q*o]R!#;$"1j`x:j'=2"!#=7$$"-D"=lj;%!#7$"2kNowQ,hp"!#>7$$"-vV&R<P%!#7$"2CP(RRLTaD!#>7$$"2NLLe9Ege%!#<$"2V#yVu#[T"Q!#>7$$"2LL$eR"3Gy%!#<$"14zA*e?9R&!#=7$$"2mmmT5k]*\!#<$"1o^$QQG'fw!#=7$$"1mm"zRQb@&!#;$"2T%fUbk4y5!#=7$$"-v=>Y2a!#7$"2O7*oa'RdU"!#=7$$"1mm;zXu9c!#;$"2)[_&e#pg$*=!#=7$$"*&y))Ge!"*$"1lx"*Ra#4\#!#<7$$"1****\i_QQg!#;$"1#faQXY&)>$!#<7$$"1***\7y%3Ti!#;$"1'>IezPh+%!#<7$$"1****\P![hY'!#;$"1V?=Y%og/&!#<7$$"1LLL$Qx$om!#;$"1)[Q&yud-h!#<7$$"+v.I%)o!#5$"1k.[hLASt!#<7$$"1mm"zpe*zq!#;$"1m%*z8bnK&)!#<7$$"+D\'QH(!#5$"11=Xcr1p)*!#<7$$"1KLe9S8&\(!#;$"2'))[aMB556!#<7$$"1***\i?=bq(!#;$"1n@z'eN&G7!#;7$$"1LLL3s?6z!#;$"29PcwV2]K"!#<7$$"1m;zpe()=!)!#;$"21p&Ql?Xk8!#<7$$"-DJXaE")!#7$"0()[l)pE%R"!#:7$$"1mT5!R$Ry")!#;$"2-yBP-=ZS"!#<7$$"1L$e*[ACI#)!#;$"1XEk'Q(Q79!#;7$$"1;aQym;c#)!#;$"28,oh*Q7:9!#<7$$"1*\7y5"4#G)!#;$"2B\C$G$*4<9!#<7$$"1%eRs`:!3$)!#;$"2FK['*G#H=9!#<7$$"1nmmm*RRL)!#;$"2D"e()4<o=9!#<7$$"1mT5S9Xg$)!#;$"2o0(\YtA=9!#<7$$"1n;a8H'pQ)!#;$"1"e/_L*)oT"!#;7$$"1n"zpQuMT)!#;$"20=65bYYT"!#<7$$"1nmTge)*R%)!#;$"2O0XhZy9T"!#<7$$"1n;H2)3I\)!#;$"13>bbyG-9!#;7$$"1mm;a<.Y&)!#;$"27AOHIo"*Q"!#<7$$".vV`*>^')!#8$"2'pv]L/,^8!#<7$$"1LLe9tOc()!#;$"2CYg!)fcgH"!#<7$$"1m;H#e0I&))!#;$"2:')[ps`.B"!#<7$$"*&Qk\*)!"*$"28"RH,q3]6!#<7$$"1nmT5ASg!*!#;$"2N:]1az2/"!#<7$$"1LL$3dg6<*!#;$"1"*=cU9+X"*!#<7$$"-voTAq#*!#7$"1:*y*yEr$*y!#<7$$"1mmmmxGp$*!#;$"0od+')[tb'!#;7$$"/DJ&**)4A%*!#9$"1bzA0E\Be!#<7$$"1L$eRA5\Z*!#;$"1bVxFx9%3&!#<7$$"1mTg_9sF&*!#;$"1J1fxT(zM%!#<7$$"-D"oK0e*!#7$"1'ejNEt[i$!#<7$$"*&oi"o*!"*$"1'Q"Q!['H>B!#<7$$"-v=5s#y*!#7$"2eO.Qm$[)>"!#=7$$".v$40O"*)*!#8$"1@'G`gvgM$!#=7$$"#5!""$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%%VIEWG6$;$""!!""$"#5!""%(DEFAULTG-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"$?&!""-%)BOUNDS_YG6#$"#]!""-%-BOUNDS_WIDTHG6#$"%SK!""-%.BOUNDS_HEIGHTG6#$"%+E!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"Ig==
_________________________________________________________________________________ Exercise 11
y := x^4*(1-x)^4/(1+x^2);
NiM+JSJ5RyooKSUieEciIiUiIiIpLCYiIiIiIiIlInhHISIiIiIlIiIiLCYiIiIiIiIqJCklInhHIiIjIiIiIiIiISIi
int(y,x);
NiMsLiomIiIoISIiKSUieEciIigiIiIiIiIqKCIiIyIiIiIiJCEiIiklInhHIiInIiIiISIiKiQpJSJ4RyIiJiIiIiIiIiooIiIlIiIiIiIkISIiKSUieEciIiQiIiIhIiIqJiIiJSIiIiUieEciIiIiIiIqJiIiJSIiIi0lJ2FyY3Rhbkc2IyUieEciIiIhIiI=
int(y,x=0..1);
NiMsJiMiI0EiIigiIiIlI1BpRyEiIg==
simplify(diff(y,x));
NiMsJCosIiIjIiIiKSUieEciIiQiIiIpLCYiIiIhIiIlInhHIiIiIiIkIiIiLCoiIiMhIiIqJCklInhHIiIjIiIiISIiKiYiIiUiIiIlInhHIiIiIiIiKiYiIiQiIiIpJSJ4RyIiJCIiIiIiIiIiIiksJiIiIiIiIiokKSUieEciIiMiIiIiIiIiIiMhIiIiIiI=
plot(y,x=0..1);
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Ig==
The hump has position LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= and height LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= , where LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= is the root of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1JJm1mcmFjR0YkNigtRiM2JC1GLDYlUSNkeUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GPVEnbm9ybWFsRictRiM2JC1GLDYlUSNkeEYnRjlGPEY/LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZLLyUpYmV2ZWxsZWRHUSZmYWxzZUYnLUkjbW9HRiQ2LVEiPUYnRj8vJSZmZW5jZUdGUC8lKnNlcGFyYXRvckdGUC8lKXN0cmV0Y2h5R0ZQLyUqc3ltbWV0cmljR0ZQLyUobGFyZ2VvcEdGUC8lLm1vdmFibGVsaW1pdHNHRlAvJSdhY2NlbnRHRlAvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0Zfby1JI21uR0YkNiRRIjBGJ0Y/Rj9GK0Y/ near LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEkMC41RidGPkY+RitGPg== and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= is obtained
by putting LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRInBGJ0Y0RjdGPkYrRj4= in LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= .
p := fsolve(diff(y,x)=0,x=0.5);
NiM+JSJwRyQiKzVUM2VaISM1
h := subs(x=p, y);
NiM+JSJoRyQiK0s6VmJKISM3
_________________________________________________________________________________ Exercise 12
a := (n) -> evalf((1+1/n)^n/exp(1));
NiM+JSJhR2YqNiMlIm5HNiI2JCUpb3BlcmF0b3JHJSZhcnJvd0c2Ii0lJmV2YWxmRzYjKiYpLCYqJiIiIiIiIiUibkchIiIiIiIiIiIiIiIlIm5HIiIiLSUkZXhwRzYjIiIiISIiNiI2IjYi
seq(a(n),n=1..100);
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
The first number greater than 0.99 occurs around the middle of the list, close to LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJuRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEjNTBGJ0Y+Rj5GK0Y+ . We therefore
look at a shorter list centred around that value:
seq(a(n),n=48..52);
NickIithUXkoKikqISM1JCIrWjskKSoqKSpGJSQiKyshKnosKipGJSQiK2owcC4qKkYlJCIrRzFeMCoqRiU=
We see that 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 , and that this is the first number greater than 0.99.
Here is a slicker way:
min(op(select(n -> (a(n)>0.99),[seq(n,n=1..100)])));
NiMiI10=