8.1 - Station\303\246re punkter for funktion af flere variable:
Station\303\246re punkter:
Jeg skal ved hj\303\246lp af Maple finde station\303\246re punkter for funktionen f , som jeg har defineret herunder:
restart; with(plottools): with(plots): f:=(x,y)->x*(x^2+2*x+cos(y));
Zio2JEkieEc2IkkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKiY5JCIiIiwoKiRGKyIiI0YsRitGLy1JJGNvc0dGJTYjOSVGLEYsRiVGJUYl
For at finde de station\303\246re punkter bruger jeg solve() til at l\303\270se de to ligninger:
at den partielt afledte af f med hensyn til x skal v\303\246re lig med nul, samt
at den partielt afledte til f med hensyn til y skal v\303\246re lig med nul.
L\303\270sningerne lagrer jeg i variablen S , som jeg d
erefter kan udskrive p\303\245 en overskuelig m\303\245de ved at vise de forskellige dele p\303\245 hver sin linie (hvor jeg udskriver den fjerde med allvalues() , da Maple ellers havde vist en underlig funktion):
S:=solve({diff(f(x,y),x)=0,diff(f(x,y),y)=0},{x,y});
NiY8JC9JInhHNiIiIiEvSSJ5R0YmLCRJI1BpRyUqcHJvdGVjdGVkRyMiIiIiIiM8JC9GJSMhIiIiIiQvRilGJzwkL0YlRjNGNTwkL0YlLUknUm9vdE9mRzYkRixJKF9zeXNsaWJHRiY2IywoKiRJI19aR0Y8Ri9GNEZBIiIlRjNGLi9GKUYr
S[1]; S[2]; S[3]; allvalues(S[4]);
PCQvSSJ4RzYiIiIhL0kieUdGJSwkSSNQaUclKnByb3RlY3RlZEcjIiIiIiIj
PCQvSSJ4RzYiIyEiIiIiJC9JInlHRiUiIiE=
PCQvSSJ4RzYiISIiL0kieUdGJSIiIQ==
NiQ8JC9JInlHNiJJI1BpRyUqcHJvdGVjdGVkRy9JInhHRiYsJiMhIiMiIiQiIiIqJCIiKCNGLyIiIyNGL0YuPCRGJC9GKiwmRixGL0YwIyEiIkYu
Eftersom min funktion er defineret p\303\245 hele \342\204\235 2 kan der ikke v\303\246re nogen rand, hvorfor randpunkter f\303\270lgeligt ikke har min interesse. Jeg ved alts\303\245 at alle de ovenst\303\245ende fundne punkter ovenfor m\303\245 v\303\246re station\303\246re punkter, da de ikke kan ligge uden for definitionsm\303\246ngden. De kritiske punkter kalder jeg for P og s\303\245 et tal fra et til fem for de fem forskellige kritiske punkter jeg har fundet ovenfor:
P[1]:=(0,1/2*Pi): P[2]:=(-1/3,0): P[3]:=(-1,0): P[4]:=(-2/3+1/3*sqrt(7),Pi): P[5]:=(-2/3-1/3*sqrt(7),Pi): seq([P[n]],n=1..5);
Nic3JCIiISwkSSNQaUclKnByb3RlY3RlZEcjIiIiIiIjNyQjISIiIiIkRiQ3JEYtRiQ3JCwmIyEiI0YuRikqJCIiKEYoI0YpRi5GJjckLCZGMkYpRjRGLEYm
Jeg har for overskueligheds skyld udskrevet de fem punkter ved hj\303\246lp af seq() , der udskriver hvert punkt i skarpe parenteser p\303\245 en enkelt linie.
De station\303\246re punkters type:
Jeg skal ogs\303\245 finde ud af hvilken type de fundne station\303\246re punkter er. Dette kan jeg g\303\270re ved hj\303\246lp af andenafledet-testen. Jeg starter ud med at finde et udtryk for D=
AC-B2 , hvor A er den anden partielt afledte med hensyn til x to gange, C er den anden partielt afledte med hensyn til y to gange mens B er den blandede anden partielt afledte. Dette udtryk kalder jeg s\303\245 for funktionen test (egentlig burde denne jo hedde D , men D er beskyttet i Maple):
(diff(diff(f(x,y),x),x))*(diff(diff(f(x,y),y),y))-(diff(diff(f(x,y),y),x))^2;
LCYqKCwmSSJ4RzYiIiInIiIlIiIiRilGJUYpLUkkY29zRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YmNiNJInlHRiZGKSEiIiokLUkkc2luR0YsRi8iIiNGMQ==
test:=(x,y)->-(6*x+4)*x*cos(y)-(sin(y))^2;
Zio2JEkieEc2IkkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYqKCwmOSQiIiciIiUiIiJGMEYtRjAtSSRjb3NHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IzklRjAhIiIqJC1JJHNpbkdGM0Y2IiIjRjhGJUYlRiU=
Nu kan jeg s\303\245 udskrive hvad v\303\246rdien er for test i de fem forskellige punkter jeg har fundet som v\303\246rende kritiske.
seq([test(P[n])],n=1..5); evalf(seq([test(P[n])],n=1..5));
Nic3IyEiIjcjIyIiIyIiJDcjISIjNyMsJComIiIoIyIiIkYnLCYjRipGKEYwKiRGLkYvI0YwRihGMEYnNyMsJComRi5GLywmRjJGMEYzI0YkRihGMEYq
Nic3IyQhIiIiIiE3IyQiK25tbW1tISM1NyMkISIjRiY3IyQiK14jKSoqUTYhIio3IyQiKyEzTlY+KUYx
Jeg har b\303\245de udskrevet disse eksakt - \303\270verst - og med evalf() - nederst. Jeg kan nu se f\303\270lgende ud fra mine punkter:
Punkt 1: Negativ v\303\246rdi af test viser et sadelpunkt
Punkt 2: Positiv v\303\246rdi af test viser et maksimum eller minimum
Punkt 3: Negativ v\303\246rdi af test viser et sadelpunkt
Punkt 4: Positiv v\303\246rdi af test viser et maksimum eller minimum
Punkt 5: Positiv v\303\246rdi af test viser et maksimum eller minimum
For at finde ud af om punkterne 2, 4 og 5 er maksima eller minima skal jeg s\303\245 p\303\245 den anden afledte med hensyn til x , tidligere beskrevet som A . Hvis denne har positivt fortegn s\303\245 er punktet et lokalt minimum, og er fortegnet negativt er punktet et lokalt maksimum. Jeg finder ud af hvad denne partielt afledte er og kalder denne for test2 , hvorefter jeg ser p\303\245 fortegnet af denne n\303\245r jeg inds\303\246tter de tre punkter:
diff(diff(f(x,y),x),x);
LCZJInhHNiIiIiciIiUiIiI=
test[2]:=(x,y)->6*x+4;
Zio2JEkieEc2IkkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCY5JCIiJyIiJSIiIkYlRiVGJQ==
test[2](P[2]); test[2](P[4]); test[2](P[5]);
IiIj
LCQqJCIiKCMiIiIiIiNGJw==
LCQqJCIiKCMiIiIiIiMhIiM=
Jeg ser alts\303\245 at for punkt 2 og 4 er v\303\246rdien positiv, hvorfor disse to punkter er lokale minima. For punkt 5 er v\303\246rdien negativ, hvorfor dette er et lokalt maksimum. Hvad jeg ved om mine punkter er alts\303\245 samlet:
Punkt 1, (0 , 1/2 \317\200): Negativ v\303\246rdi af test , s\303\245 sadelpunkt.
Punkt 2, (- 1/3 , 0): Positiv test og positiv test2 , s\303\245 lokalt minimum.
Punkt 3, (-1 , 0): Negativ v\303\246rdi af test , s\303\245 sadelpunkt.
Punkt 4, (-2/3 + 1/3 sqrt(7) , \317\200) : Positiv test og positiv test2 , s\303\245 lokalt minimum.
Punkt 5, (-2/3 - 1/3 sqrt(7) , \317\200) : Positiv test og negativ test2 , s\303\245 lokalt maksimum.
Plotning af funktionen f sammen med et udvalgt ekstremum
Jeg skulle foruden at finde mine kritiske punkter ogs\303\245 plotte funktionen f sammen med et af mine ekstrema. Jeg v\303\246lger punkt 2, der er et lokalt minimum:
graf[1]:=plot3d(f(x,y), x=-1..0, y=-1..1, axes=boxed, orientation=[99,56]):
tangentplan[1]:=plot3d(f(-1/3,0), x=-1..0, y=-1..1, style=wireframe, color=black, numpoints=300):
display(graf[1], tangentplan[1]);
6'-I%GRIDG6$%*protectedGI(_syslibG6"6%;$!""""!$""!""!;$!""""!$"""""!X,I)anythingG%*protectedG6"6"[gl'!%"!!#\bm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protectedGI(_syslibG6"6';$!""""!$""!""!;$!""""!$"""""!X,I)anythingG%*protectedG6"6"[gl'!%"!!#__l"3"3BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68BFC2F684BDA12F68-I&COLORG6$%*protectedGI(_syslibG6"6&I$RGBG6$%*protectedGI(_syslibG6"$""!""!$""!""!$""!""!-I&STYLEG6$%*protectedGI(_syslibG6"6#I%LINEG6"-I*AXESSTYLEG6$%*protectedGI(_syslibG6"6#I$BOXG6$%*protectedGI(_syslibG6"-I+AXESLABELSG6$%*protectedGI(_syslibG6"6&I"xG6"I"yG6"Q!6"-I%FONTG6"6#I(DEFAULTG6$%*protectedGI(_syslibG6"-I+PROJECTIONG6"6%$"#**""!$"#c""!"""
JSFH
Jeg kan her se hvordan funktionen n\303\246sten ligner en skovl, og det er i hvert fald tydeligt at der er et minimum der hvor tangentplanen nede i bunden tangerer grafen for f .
Plotning af funktionen f sammen med et udvalgt sadelpunkt
Derudover skulle jeg g\303\270re det samme med et sadelpunkt, hvor jeg her v\303\246lger punkt 3.
graf[2]:=plot3d(f(x,y), x=-1.5..-0.25, y=-1..1, axes=boxed, orientation=[23,49]):
tangentplan[2]:=plot3d(f(-1,0), x=-1.5..-0.25, y=-1..1, style=wireframe, color=black, numpoints=300):
display(graf[2], tangentplan[2]);
6'-I%GRIDG6$%*protectedGI(_syslibG6"6%;$!#:!""$!#D!"#;$!""""!$"""""!X,I)anythingG%*protectedG6"6"[gl'!%"!!#\bm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protectedGI(_syslibG6"6';$!#:!""$!#D!"#;$!""""!$"""""!X,I)anythingG%*protectedG6"6"[gl'!%"!!#__l"3"3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-I&COLORG6$%*protectedGI(_syslibG6"6&I$RGBG6$%*protectedGI(_syslibG6"$""!""!$""!""!$""!""!-I&STYLEG6$%*protectedGI(_syslibG6"6#I%LINEG6"-I*AXESSTYLEG6$%*protectedGI(_syslibG6"6#I$BOXG6$%*protectedGI(_syslibG6"-I+AXESLABELSG6$%*protectedGI(_syslibG6"6&I"xG6"I"yG6"Q!6"-I%FONTG6"6#I(DEFAULTG6$%*protectedGI(_syslibG6"-I+PROJECTIONG6"6%$"#B""!$"#\""!"""
Her er det ogs\303\245 ret tydeligt hvordan funktionen arter sig, og man kan nemt se at der her er et sadelpunkt der hvor tangentplanen tangerer funktionen.
8.2 - Ekstremalunders\303\270gelse af funktion af to variable med bibetingelse
Jeg er givet en m\303\246ngde D som er begr\303\246nset ved
D = {(x,y) \342\210\210 \342\204\235 2 | x2 + y2 \342\211\244 1, x \342\211\244 0} .
Derudover er jeg givet en funktion f : D \342\206\222 \342\204\235 givet ved
f(x,y) = 4xy2 + x2 .
For denne funktion skal jeg argumentere for at der er mindst et globalt maksimum og mindst et globalt minimum p\303\245 D .
Dette er simpelt at argumentere for, da m\303\246ngden D er en afsluttet og begr\303\246nset m\303\246ngde . Desuden er f kontinuert. Da jeg ved dette siger ekstremalv\303\246rdis\303\246tningen (TK s\303\246tning 2.40) at der m\303\245 v\303\246re et globalt maksimum og et globalt minimum p\303\245 definitionsm\303\246ngden.
Jeg skulle herefter finde de forskellige globale ekstrema, hvorfor jeg f\303\270rst definerer min funktion f :
f:=(x,y)->4*x*y^2+x^2;
Zio2JEkieEc2IkkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYqJjkkIiIiOSUiIiMiIiUqJEYsRi9GLUYlRiVGJQ==
Station\303\246re punkter i det indre af D
Jeg finder s\303\245 de station\303\246re punkter i det indre af definitionsm\303\246ngden ved f\303\270rsteafledet-testen:
solve({diff(f(x,y),x)=0,diff(f(x,y),y)=0},{x,y});
NiU8JC9JInhHNiIiIiEvSSJ5R0YmRidGI0Yj
Der er alts\303\245 bare et station\303\246rt punkt, nemlig (0,0), men eftersom dette ikke er i det indre af D , men derimod p\303\245 randen, er dette ikke et station\303\246rt punkt, jeg husker det til senere, men arbejder ikke videre med det nu.
Randen af D (cirkelhalvbuen)
Jeg skal nu bruge Lagrange's metode til at se p\303\245 randen selv. Indtil videre ignorerer jeg bare betingelsen x \342\211\244 0 , som jeg kan tage h\303\270jde for n\303\245r jeg har fundet mine punkter. Jeg definerer f\303\270rst min bibetingelse g ved at flytte 1-tallet over p\303\245 den anden side s\303\245 der st\303\245r nul p\303\245 konstantsiden, hvorefter jeg kan definere den:
g:=(x,y)->x^2+y^2-1;
Zio2JEkieEc2IkkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCgqJDkkIiIjIiIiKiQ5JUYtRi4hIiJGLkYlRiVGJQ==
Nu kan jeg finde gradienterne for de to funktioner f og g til at v\303\246re:
with(Student[MultivariateCalculus]): Gradient(f(x,y),[x,y]);
LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIqUypRTjs=
Gradient(g(x,y), [x,y]);
LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIqJWVIUzs=
Hvorefter jeg kan finde l\303\270sningerne i ligningssystemet hvor \342\210\207f(x,y) = \316\273 \342\210\207g(x,y) (og s\303\245 har jeg jo ogs\303\245 en tredje ligning som er min bibetingelse). L\303\270sningerne sender jeg til variablen S , som jeg af overskueligheds\303\245rsager skriver over i variablen L , s\303\245 jeg har alle punkter i hver sin plads i den variable (hvor jeg vel og m\303\246rke udelader punkterne fra S som ikke er i min definitionsm\303\246ngde D - disse er alts\303\245 IKKE med i L ):
S:=solve({4*y^2+2*x=lambda*2*x , 8*x*y=lambda*2*y , y^2+x^2=1}, {x,y,lambda});
NiY8JS9JInlHNiIiIiEvSSdsYW1iZGFHRiYiIiIvSSJ4R0YmRio8JS9GLCEiIkYkRig8JS9GLCNGLyIiIy9GJSwkLUknUm9vdE9mRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YmNiQsJiokSSNfWkdGOEYzRiohIiRGKi9JJmxhYmVsR0Y4SSRfTDJHRiYjRipGMy9GKSEiIzwlL0YsI0YzIiIkL0YlLCQtRjc2JCwmRj1GKiEiJkYqL0ZBSSRfTDNHRiYjRipGSS9GKSMiIilGSQ==
S[1]; S[2]; allvalues(S[3]); allvalues(S[4]);
PCUvSSJ5RzYiIiIhL0knbGFtYmRhR0YlIiIiL0kieEdGJUYp
PCUvSSJ4RzYiISIiL0kieUdGJSIiIS9JJ2xhbWJkYUdGJSIiIg==
NiQ8JS9JInhHNiIjISIiIiIjL0knbGFtYmRhR0YmISIjL0kieUdGJiwkKiQiIiQjIiIiRilGMjwlL0YuLCRGMEYnRiRGKg==
NiQ8JS9JInhHNiIjIiIjIiIkL0knbGFtYmRhR0YmIyIiKUYpL0kieUdGJiwkKiQiIiYjIiIiRigjRjRGKTwlRiRGKi9GLywkRjEjISIiRik=
L[1]:=(1,0): L[2]:=(2/3,1/3*sqrt(5)): L[3]:=(2/3,-1/3*sqrt(5)): seq([L[n]],n=1..3);
NiU3JCIiIiIiITckIyIiIyIiJCwkKiQiIiYjRiRGKCNGJEYpNyRGJywkRisjISIiRik=
Jeg har bortkastet l\303\270sningerne med x = -1/2 og x = -1 , da disse er uden for min definitionsm\303\246ngde D eftersom de er negative og jeg har restriktionen at x \342\211\244 0 .
Randen af D (den rette linie)
F\303\270r jeg g\303\245r videre skal jeg dog ogs\303\245 se p\303\245 den linie der udg\303\270r den sidste del af randen. Indtil videre har jeg kun set p\303\245 cirkelbuen, men linien x = 0 for -1 \342\211\244 y \342\211\244 1 skal ogs\303\245 med i mine overvejelser for randen.
For at se p\303\245 denne linie kan jeg bare s\303\246tte x = 0 i min forskrift for f , hvorved jeg f\303\245r en funktion af kun en variabel, men n\303\245r jeg g\303\270r dette f\303\245r jeg en konstant funktion som er nul (eftersom jeg ganger med x i alle led), hvorfor der her ikke er hverken maksimum- eller minimumpunkter.
Diskussion af ekstrema vs. sadelpunkter og endelig konklusion
Egentlig burde jeg nu bruge andenafledet testen for at finde ud af om der var nogle af mine punkter der havde en negativ eller positiv v\303\246rdi for D = AC - B2 , men eftersom jeg her er i et lukket interval hvor jeg skal identificere de globale ekstrema, s\303\245 er sadelpunkter slet ikke relevante - jeg kan n\303\270jes med at se p\303\245 hvilken funktionsv\303\246rdi af mine kritiske punkter der er mindst og hvilken der er st\303\270rst (et saddelpunkt vil aldrig kunne v\303\246re et s\303\245dant punkt med mindre det ligger lige p\303\245 randen af en definitionsm\303\246ngde, hvor det alligevel ikke vil v\303\246re et egentligt sadelpunkt n\303\245r man kun ser p\303\245 funktionen i denne definitionsm\303\246ngde).
For nu at se hvilke af mine punkter der rent faktisk er globalt maksimum og globalt minimum finder jeg funktionsv\303\246rdierne i punkterne:
seq([f(L[n])], n=1..3);
NiU3IyIiIjcjIyIjXyIjRkYl
Desuden vil jeg lige se hvad funktionsv\303\246rdien er for den konstante linie p\303\245 randen (som ikke er cirkelbuen):
f(0,0);
IiIh
L\303\246g m\303\246rke til at dette punkt (0,0) var det punkt jeg fandt i starten og s\303\245 at det var p\303\245 randen og ikke i det indre af D . Men jeg kan alts\303\245 her se at funktionsv\303\246rdien i hele den konstante rand hvor x = 0 er mit globale minimum, og at jeg har to punkter der er mine globale maksima. Mine globale ekstrema er alts\303\245 oplistet:
{(x,y) \342\210\210 \342\204\235 2 | x = 0, -1 \342\211\244 y \342\211\244 1} er globalt minimum
(2/3 , 1/3 sqrt(5)) og (2/3 , -1/3 sqrt(5)) er globalt maksimum
JSFH
Jeg vil til sidst lige tegne hele systemet s\303\245 man kan danne sig et overblik over hvad det egentlig er der sker. Det er nemmest at se hvis man ser p\303\245 niveaukurverne over funktionen af f sammen med niveaukurven af g , hvor denne er lig nul og x \342\211\244 0 . Jeg har oven i dette tegnet de tre punkter samt linien x = 0 :
cirkel:=implicitplot(x^2+y^2=1, x=0..2, y=-2..2, numpoints=1000, view=[-2..2,-1.1..1.1], gridlines=true, thickness=4, transparency=0.2, color=red):
linie:=implicitplot(x=0, x=-1..1, y=-1..1, numpoints=1000, gridlines=true, thickness=4, transparency=0.2, color=red):
punkt1:=pointplot([L[1]], symbolsize=25, symbol=solidcircle, style=point, color=black):
punkt2:=pointplot([L[2]], symbolsize=25, symbol=solidcircle, style=point, color=black):
punkt3:=pointplot([L[3]], symbolsize=25, symbol=solidcircle, style=point, color=black):
kontur:=contourplot(f(x,y), x=-2..2, y=-1.1..1.1, thickness=2, numpoints=1000, contours=20):
display(kontur, cirkel, linie, punkt1, punkt2, punkt3);
6A-%'CURVESG6'7$7$$"2/9&G@j@%*=!#;$!#6!""7$$"2(=ao0!Rt%>!#;$!2.)p7`k.r5!#;7$7$$"#?!""$!2FW*eR$Hf/"!#;7$$"2(=ao0!Rt%>!#;$!2.)p7`k.r5!#;7$7$$"#?!""$"2FW*eR$Hf/"!#;7$$"289&G@j@%*=!#;$"2'*************4"!#;-%&COLORG6&%$RGBG$"#5!""$"1a!=)3h>!\*!#;$""!!""-%*THICKNESSG6#""#-%'CURVESG6-7$7$$"2()oQl,wey"!#;$!#6!""7$$"2l\(eGQuH=!#;$!1BJs0"4^2"!#:7$7$$"%v=!"$$!2JVf/v,G0"!#;7$$"2l\(eGQuH=!#;$!1BJs0"4^2"!#:7$7$$"%v=!"$$"2JVf/v,G0"!#;7$$"2&*oQl,wey"!#;$"2'*************4"!#;7$7$$"%v=!"$$!2JVf/v,G0"!#;7$$"2v$3P6!yY*=!#;$!22'RD1H2U5!#;7$7$$"2wde,byt">!#;$!'DJ5!"&7$$"2v$3P6!yY*=!#;$!22'RD1H2U5!#;7$7$$"2wde,byt">!#;$!'DJ5!"&7$$"2bjs.0I*e>!#;$!2&\\qF:m35!#;7$7$$"#?!""$!1kjjj.U"*)*!#;7$$"2bjs.0I*e>!#;$!2&\\qF:m35!#;7$7$$"#?!""$"1ljjj.U"*)*!#;7$$"2&y&e,byt">!#;$"2'*********\7."!#;7$7$$"2&y&e,byt">!#;$"2'*********\7."!#;7$$"%v=!"$$"2JVf/v,G0"!#;-%&COLORG6&%$RGBG$"#5!""$"1"=t:!zg>!*!#;$""!!""-%*THICKNESSG6#""#-%'CURVESG637$7$$"2%)\nPnXZn"!#;$!#6!""7$$"2o4p-2d4r"!#;$!2K+[')QE&y5!#;7$7$$"$v"!"#$!2'=l7a7ce5!#;7$$"2o4p-2d4r"!#;$!2K+[')QE&y5!#;7$7$$"$v"!"#$"2'=l7a7ce5!#;7$$"1*\nPnXZn"!#:$"2'*************4"!#;7$7$$"$v"!"#$!2'=l7a7ce5!#;7$$"2lIT(R;Wu<!#;$!2(=x&=!HpW5!#;7$7$$"2Y:k=+9<!=!#;$!'DJ5!"&7$$"2lIT(R;Wu<!#;$!2(=x&=!HpW5!#;7$7$$"2Y:k=+9<!=!#;$!'DJ5!"&7$$"2<EG:')yy$=!#;$!2UaSQPL3,"!#;7$7$$"%v=!"$$!1tl.X4NE**!#;7$$"2<EG:')yy$=!#;$!2UaSQPL3,"!#;7$7$$"%v=!"$$"1tl.X4NE**!#;7$$"2b:k=+9<!=!#;$"2'*********\7."!#;7$7$$"2b:k=+9<!=!#;$"2'*********\7."!#;7$$"$v"!"#$"2'=l7a7ce5!#;7$7$$"%v=!"$$!1tl.X4NE**!#;7$$"2.$e`7_b->!#;$!1nq%*oObw(*!#;7$7$$"1F!*>MGWM>!#:$!1***********\i*!#;7$$"2.$e`7_b->!#;$!1nq%*oObw(*!#;7$7$$"1F!*>MGWM>!#:$!1***********\i*!#;7$$"2Q!*)*)ydQn>!#;$!1sR%Ry@cW*!#;7$7$$"#?!""$!17zX7RM!H*!#;7$$"2Q!*)*)ydQn>!#;$!1sR%Ry@cW*!#;7$7$$"#?!""$"17zX7RM!H*!#;7$$"2y-*>MGWM>!#;$"1'**********\i*!#;7$7$$"2y-*>MGWM>!#;$"1'**********\i*!#;7$$"%v=!"$$"1tl.X4NE**!#;-%&COLORG6&%$RGBG$"#5!""$"1N7R5S!)4&)!#;$""!!""-%*THICKNESSG6#""#-%'CURVESG697$7$$"2VmP+ei0c"!#;$!#6!""7$$"1a:V_%z2f"!#:$!2YNP))py63"!#;7$7$$"%D;!"$$!2^G&HF5&H1"!#;7$$"1a:V_%z2f"!#:$!2YNP))py63"!#;7$7$$"%D;!"$$"2^G&HF5&H1"!#;7$$"2_mP+ei0c"!#;$"2'*************4"!#;7$7$$"%D;!"$$!2^G&HF5&H1"!#;7$$"2'pBLiZt_;!#;$!2L!GG>T]Y5!#;7$7$$"2C'4/S]c#o"!#;$!'DJ5!"&7$$"2'pBLiZt_;!#;$!2L!GG>T]Y5!#;7$7$$"2C'4/S]c#o"!#;$!'DJ5!"&7$$"2MB^n?P^r"!#;$!2%yJrja275!#;7$7$$"$v"!"#$!1du&\@!)Q%**!#;7$$"2MB^n?P^r"!#;$!2%yJrja275!#;7$7$$"$v"!"#$"1du&\@!)Q%**!#;7$$"2L'4/S]c#o"!#;$"2'*********\7."!#;7$7$$"2L'4/S]c#o"!#;$"2'*********\7."!#;7$$"%D;!"$$"2^G&HF5&H1"!#;7$7$$"$v"!"#$!1du&\@!)Q%**!#;7$$"2wD([V3hy<!#;$!1=*z"R'fBy*!#;7$7$$"1/='>J42"=!#:$!%D'*!"%7$$"2wD([V3hy<!#;$!1=*z"R'fBy*!#;7$7$$"2Q!='>J42"=!#;$!1***********\i*!#;7$$"2nf-6'fWU=!#;$!1#Gkgy_fW*!#;7$7$$"%v=!"$$!0`')>`ukG*!#:7$$"2nf-6'fWU=!#;$!1#Gkgy_fW*!#;7$7$$"%v=!"$$"1Kl)>`ukG*!#;7$$"10='>J42"=!#:$"1'**********\i*!#;7$7$$"10='>J42"=!#:$"1'**********\i*!#;7$$"$v"!"#$"1du&\@!)Q%**!#;7$7$$"%v=!"$$!0`')>`ukG*!#:7$$"2Hx`g.%)o!>!#;$!1`dH)>iG6*!#;7$7$$"1)\*yCnrV>!#:$!&v$*)!"&7$$"2Hx`g.%)o!>!#;$!1`dH)>iG6*!#;7$7$$"1)\*yCnrV>!#:$!&v$*)!"&7$$"2'znS*[(*=(>!#;$!1)GP<>OHy)!#;7$7$$"#?!""$!1NOOO_4[')!#;7$$"2'znS*[(*=(>!#;$!1)GP<>OHy)!#;7$7$$"#?!""$"1NOOO_4[')!#;7$$"2*)\*yCnrV>!#;$"1'*********\P*)!#;7$7$$"2*)\*yCnrV>!#;$"1'*********\P*)!#;7$$"%v=!"$$"1Kl)>`ukG*!#;-%&COLORG6&%$RGBG$"#5!""$"0H4#>,++!)!#:$""!!""-%*THICKNESSG6#""#-%'CURVESG6?7$7$$"2mT*Hm*HIW"!#;$!#6!""7$$"20MG\jk*o9!#;$!2ue5#\0$H3"!#;7$7$$"#:!""$!2*R"fljGc1"!#;7$$"20MG\jk*o9!#;$!2ue5#\0$H3"!#;7$7$$"#:!""$"2*R"fljGc1"!#;7$$"2vT*Hm*HIW"!#;$"2'*************4"!#;7$7$$"#:!""$!2*R"fljGc1"!#;7$$"2j6)f^9JH:!#;$!1k*y$)Hrt/"!#:7$7$$"2zxzP]x&f:!#;$!'DJ5!"&7$$"2j6)f^9JH:!#;$!1k*y$)Hrt/"!#:7$7$$"2zxzP]x&f:!#;$!'DJ5!"&7$$"21**)[\]T!f"!#;$!2[%*=sFGA,"!#;7$7$$"%D;!"$$!1M"=%yC**R**!#;7$$"21**)[\]T!f"!#;$!2[%*=sFGA,"!#;7$7$$"%D;!"$$"1M"=%yC**R**!#;7$$"2'y(zP]x&f:!#;$"2'*********\7."!#;7$7$$"2'y(zP]x&f:!#;$"2'*********\7."!#;7$$"#:!""$"2*R"fljGc1"!#;7$7$$"%D;!"$$!1M"=%yC**R**!#;7$$"2=Ve[)Hm_;!#;$!1u8s;k9x(*!#;7$7$$"2$4u9q<l#o"!#;$!1,+++++D'*!#;7$$"2=Ve[)Hm_;!#;$!1u8s;k9x(*!#;7$7$$"2$4u9q<l#o"!#;$!%D'*!"%7$$"2mexZdM_r"!#;$!1FnFh,zL%*!#;7$7$$"$v"!"#$!0OE)eB+e#*!#:7$$"2mexZdM_r"!#;$!1FnFh,zL%*!#;7$7$$"$v"!"#$"0OE)eB+e#*!#:7$$"2-TZ,x^Eo"!#;$"1&**********\i*!#;7$7$$"2-TZ,x^Eo"!#;$"1&**********\i*!#;7$$"%D;!"$$"1M"=%yC**R**!#;7$7$$"$v"!"#$!1fj#)eB+e#*!#;7$$"2%R5bOhwy<!#;$!1;2.^Pr&4*!#;7$7$$"2m0![a?16=!#;$!&v$*)!"&7$$"2%R5bOhwy<!#;$!1;2.^Pr&4*!#;7$7$$"2m0![a?16=!#;$!&v$*)!"&7$$"10NWT"[D%=!#:$!1y#Rzx9!f()!#;7$7$$"%v=!"$$!1&[[G*y@*f)!#;7$$"10NWT"[D%=!#:$!1y#Rzx9!f()!#;7$7$$"%v=!"$$"1&[[G*y@*f)!#;7$$"1e+[a?16=!#:$"1'*********\P*)!#;7$7$$"1e+[a?16=!#:$"1'*********\P*)!#;7$$"$v"!"#$"1fj#)eB+e#*!#;7$7$$"%v=!"$$!1'[[G*y@*f)!#;7$$"2y>X5A"z1>!#;$!1*e[dr^[U)!#;7$7$$"2bxF`YKK%>!#;$!$D)!"$7$$"2y>X5A"z1>!#;$!1*e[dr^[U)!#;7$7$$"2dxF`YKK%>!#;$!1,+++++]#)!#;7$$"1*RbyJa9(>!#:$!1&p/#[()*H4)!#;7$7$$"#?!""$!1tb.ZP$R&z!#;7$$"1*RbyJa9(>!#:$!1&p/#[()*H4)!#;7$7$$"#?!""$"1ub.ZP$R&z!#;7$$"2kxF`YKK%>!#;$"1'***********\#)!#;7$7$$"2kxF`YKK%>!#;$"1'***********\#)!#;7$$"%v=!"$$"1&[[G*y@*f)!#;-%&COLORG6&%$RGBG$"#5!""$"1Wt-Gi>!\(!#;$""!!""-%*THICKNESSG6#""#-%'CURVESG6E7$7$$"2Z'Q658"=K"!#;$!#6!""7$$"2:lL]X/_M"!#;$!2$3&o-X7O3"!#;7$7$$"%v8!"$$!1Le7Gr7m5!#:7$$"2:lL]X/_M"!#;$!2$3&o-X7O3"!#;7$7$$"%v8!"$$"1Le7Gr7m5!#:7$$"1lQ658"=K"!#:$"2'*************4"!#;7$7$$"%v8!"$$!1Le7Gr7m5!#:7$$"2P?7ZqnQS"!#;$!17<fPs7Z5!#:7$7$$"2&Qk,avMK9!#;$!'DJ5!"&7$$"2P?7ZqnQS"!#;$!17<fPs7Z5!#:7$7$$"2&Qk,avMK9!#;$!'DJ5!"&7$$"1AK')z>Nj9!#:$!1sZ#*)e$465!#:7$7$$"#:!""$!1`N!Q[L$4**!#;7$$"1AK')z>Nj9!#:$!1sZ#*)e$465!#:7$7$$"#:!""$"1`N!Q[L$4**!#;7$$"2#Rk,avMK9!#;$"2'*********\7."!#;7$7$$"1Rk,avMK9!#:$"2'*********\7."!#;7$$"%v8!"$$"2L$e7Gr7m5!#;7$7$$"#:!""$!1`N!Q[L$4**!#;7$$"2#z_'[*yOC:!#;$!1P!f<UB!f(*!#;7$7$$"2W)z1Laz\:!#;$!%D'*!"%7$$"2#z_'[*yOC:!#;$!1P!f<UB!f(*!#;7$7$$"2U)z1Laz\:!#;$!1***********\i*!#;7$$"2dM3*H;N&e"!#;$!/f\kR$pS*!#97$7$$"%D;!"$$!1EQVD)\#*>*!#;7$$"2dM3*H;N&e"!#;$!/f\kR$pS*!#97$7$$"%D;!"$$"1EQVD)\#*>*!#;7$$"1&)z1Laz\:!#:$"1(**********\i*!#;7$7$$"1&)z1Laz\:!#:$"1'**********\i*!#;7$$"#:!""$"1`N!Q[L$4**!#;7$7$$"%D;!"$$!1EQVD)\#*>*!#;7$$"2uF'RwU-[;!#;$!1E&z,_LT1*!#;7$7$$"2kiO^\oIn"!#;$!&v$*)!"&7$$"2uF'RwU-[;!#;$!1E&z,_LT1*!#;7$7$$"2miO^\oIn"!#;$!&v$*)!"&7$$"2/qwRgY-r"!#;$!1^=(=Kc)=()!#;7$7$$"$v"!"#$!1'G9d/%Q<&)!#;7$$"2/qwRgY-r"!#;$!1^=(=Kc)=()!#;7$7$$"$v"!"#$"1(G9d/%Q<&)!#;7$$"1Fm8&\oIn"!#:$"1'*********\P*)!#;7$7$$"2tiO^\oIn"!#;$"1'*********\P*)!#;7$$"%D;!"$$"1EQVD)\#*>*!#;7$7$$"$v"!"#$!1'G9d/%Q<&)!#;7$$"2%4&>yZSRx"!#;$!1.t+GEn"Q)!#;7$7$$"29?#>33o+=!#;$!1,+++++]#)!#;7$$"2%4&>yZSRx"!#;$!1.t+GEn"Q)!#;7$7$$"29?#>33o+=!#;$!1,+++++]#)!#;7$$"2&zyl(Rkq$=!#;$!1Q$=r=a8/)!#;7$7$$"%v=!"$$!1^Hko4A_y!#;7$$"2&zyl(Rkq$=!#;$!1Q$=r=a8/)!#;7$7$$"%v=!"$$"1^Hko4A_y!#;7$$"2B?#>33o+=!#;$"1'***********\#)!#;7$7$$"2E?#>33o+=!#;$"1(***********\#)!#;7$$"$v"!"#$"1(G9d/%Q<&)!#;7$7$$"%v=!"$$!1^Hko4A_y!#;7$$"218!eB!)=,>!#;$!0s!pHT`1x!#:7$7$$"2)RT#>r`2$>!#;$!1,++++]iv!#;7$$"218!eB!)=,>!#;$!0s!pHT`1x!#:7$7$$"2)RT#>r`2$>!#;$!1,++++]iv!#;7$$"2[SxG*[yk>!#;$!1Ed#3"p")ot!#;7$7$$"#?!""$!17777s-$>(!#;7$$"2[SxG*[yk>!#;$!1Ed#3"p")ot!#;7$7$$"#?!""$"17777s-$>(!#;7$$"229C>r`2$>!#;$"1'*********\iv!#;7$7$$"229C>r`2$>!#;$"1'*********\iv!#;7$$"2-+++++](=!#;$"1_Hko4A_y!#;-%&COLORG6&%$RGBG$"#5!""$"1rCy?!3'>q!#;$""!!""-%*THICKNESSG6#""#-%'CURVESG6K7$7$$"2pW&)pWBl>"!#;$!#6!""7$$"2w:SSB3">7!#;$!2n3A(G&4I3"!#;7$7$$"$D"!"#$!1<iomFzj5!#:7$$"2w:SSB3">7!#;$!2n3A(G&4I3"!#;7$7$$"$D"!"#$"1<iomFzj5!#:7$$"2tW&)pWBl>"!#;$"2'*************4"!#;7$7$$"$D"!"#$!1<iomFzj5!#:7$$"1,'pSABgF"!#:$!21GQKxib/"!#;7$7$$"2cW:[k7/I"!#;$!'DJ5!"&7$$"1,'pSABgF"!#:$!21GQKxib/"!#;7$7$$"2cW:[k7/I"!#;$!'DJ5!"&7$$"2oB69\%\L8!#;$!2.=w-(>U35!#;7$7$$"%v8!"$$!0P6*y>gW)*!#:7$$"2oB69\%\L8!#;$!2.=w-(>U35!#;7$7$$"%v8!"$$"1r8"*y>gW)*!#;7$$"2lW:[k7/I"!#;$"2'*********\7."!#;7$7$$"2lW:[k7/I"!#;$"2'*********\7."!#;7$$"$D"!"#$"1<iomFzj5!#:7$7$$"%v8!"$$!0P6*y>gW)*!#:7$$"2BtrmU)H$R"!#;$!1HXpY8kD(*!#;7$7$$"2-tGvP$f69!#;$!%D'*!"%7$$"2BtrmU)H$R"!#;$!1HXpY8kD(*!#;7$7$$"0tGvP$f69!#9$!1***********\i*!#;7$$"2xQj3P(H_9!#;$!1L'[(Rbji$*!#;7$7$$"#:!""$!1T3vTok-"*!#;7$$"2xQj3P(H_9!#;$!1L'[(Rbji$*!#;7$7$$"#:!""$"1U3vTok-"*!#;7$$"23tGvP$f69!#;$"1'**********\i*!#;7$7$$"23tGvP$f69!#;$"1'**********\i*!#;7$$"%v8!"$$"1r8"*y>gW)*!#;7$7$$"#:!""$!1U3vTok-"*!#;7$$"0yrWT'>9:!#9$!1"z%fz-e:!*!#;7$7$$"1F.t"\-"H:!#:$!&v$*)!"&7$$"0yrWT'>9:!#9$!1"z%fz-e:!*!#;7$7$$"1F.t"\-"H:!#:$!&v$*)!"&7$$"2uFT!o"fWd"!#;$!1EqACa_f')!#;7$7$$"%D;!"$$!1G?(zM))\R)!#;7$$"2uFT!o"fWd"!#;$!1EqACa_f')!#;7$7$$"%D;!"$$"1G?(zM))\R)!#;7$$"1G.t"\-"H:!#:$"1'*********\P*)!#;7$7$$"1G.t"\-"H:!#:$"1'*********\P*)!#;7$$"2-++++++]"!#;$"1U3vTok-"*!#;7$7$$"%D;!"$$!1H?(zM))\R)!#;7$$"29dN@`Rxj"!#;$!1WcuEu1?$)!#;7$7$$"2^\G&\[c^;!#;$!1,+++++]#)!#;7$$"29dN@`Rxj"!#;$!1WcuEu1?$)!#;7$7$$"2^\G&\[c^;!#;$!1,+++++]#)!#;7$$"2#)*oux/#*)p"!#;$!1UzgFE1pz!#;7$7$$"2)************\<!#;$!13)3k:Xxq(!#;7$$"2#)*oux/#*)p"!#;$!1UzgFE1pz!#;7$7$$"$v"!"#$"0")3k:Xxq(!#:7$$"1'\G&\[c^;!#:$"1'***********\#)!#;7$7$$"1'\G&\[c^;!#:$"1'***********\#)!#;7$$"%D;!"$$"1G?(zM))\R)!#;7$7$$"$v"!"#$!0")3k:Xxq(!#:7$$"2J*y(GOGHw"!#;$!18%Ge*fgLw!#;7$7$$"2(p<$e_!>x<!#;$!1,++++]iv!#;7$$"2J*y(GOGHw"!#;$!18%Ge*fgLw!#;7$7$$"2(p<$e_!>x<!#;$!1,++++]iv!#;7$$"2sq097&eC=!#;$!1"RJx;=_G(!#;7$7$$"%v=!"$$!11N\1^TGq!#;7$$"2sq097&eC=!#;$!1"RJx;=_G(!#;7$7$$"%v=!"$$"12N\1^TGq!#;7$$"21xJe_!>x<!#;$"1'*********\iv!#;7$7$$"21xJe_!>x<!#;$"1'*********\iv!#;7$$"$v"!"#$"0")3k:Xxq(!#:7$7$$"%v=!"$$!11N\1^TGq!#;7$$"2\6RWP3())=!#;$!1L^TfgR]p!#;7$7$$"2M&eO0@"Q!>!#;$!1-+++++vo!#;7$$"2\6RWP3())=!#;$!1L^TfgR]p!#;7$7$$"2M&eO0@"Q!>!#;$!1-+++++vo!#;7$$"2FLCQ+z-&>!#;$!1KQ.@X`,m!#;7$7$$"#?!""$!1GQ!)[#)HWj!#;7$$"2FLCQ+z-&>!#;$!1KQ.@X`,m!#;7$7$$"#?!""$"1GQ!)[#)HWj!#;7$$"2V&eO0@"Q!>!#;$"1'**********\(o!#;7$7$$"2V&eO0@"Q!>!#;$"1'**********\(o!#;7$$"%v=!"$$"12N\1^TGq!#;-%&COLORG6&%$RGBG$"#5!""$"1D0gHT!)4l!#;$""!!""-%*THICKNESSG6#""#-%'CURVESG6U7$7$$"2Y_L")>Gn1"!#;$!#6!""7$$"2QI;g<t,4"!#;$!1n*3oCX33"!#:7$7$$"%D6!"$$!2-<ioE"od5!#;7$$"2QI;g<t,4"!#;$!1n*3oCX33"!#:7$7$$"%D6!"$$"0<ioE"od5!#97$$"1DN8)>Gn1"!#:$"2'*************4"!#;7$7$$"%D6!"$$!2-<ioE"od5!#;7$$"22U-*zeHX6!#;$!29LYRt7C/"!#;7$7$$"2o]?;XSK;"!#;$!'DJ5!"&7$$"22U-*zeHX6!#;$!29LYRt7C/"!#;7$7$$"2o]?;XSK;"!#;$!'DJ5!"&7$$"1QTjXQE+7!#:$!2ex)4:^*Q+"!#;7$7$$"$D"!"#$!1fpi+idN(*!#;7$$"1QTjXQE+7!#:$!2ex)4:^*Q+"!#;7$7$$"$D"!"#$"1fpi+idN(*!#;7$$"2t]?;XSK;"!#;$"2'*********\7."!#;7$7$$"2t]?;XSK;"!#;$"2'*********\7."!#;7$$"%D6!"$$"0<ioE"od5!#97$7$$"$D"!"#$!1fpi+idN(*!#;7$$"2c()*Q(4<*e7!#;$!1;VkNS/u'*!#;7$7$$"2G$o^&G7uE"!#;$!%D'*!"%7$$"2c()*Q(4<*e7!#;$!1;VkNS/u'*!#;7$7$$"2E$o^&G7uE"!#;$!1***********\i*!#;7$$"1*fgD5RaJ"!#:$!1%H$3k]T(H*!#;7$7$$"2-+++++]P"!#;$!1vK!zaqy&*)!#;7$$"1*fgD5RaJ"!#:$!1%H$3k]T(H*!#;7$7$$"%v8!"$$"1vK!zaqy&*)!#;7$$"2L$o^&G7uE"!#;$"1&**********\i*!#;7$7$$"2L$o^&G7uE"!#;$"1'**********\i*!#;7$$"$D"!"#$"1fpi+idN(*!#;7$7$$"%v8!"$$!1vK!zaqy&*)!#;7$$"1M:Um_qw8!#:$!1Q%=`'*yo%*)!#;7$7$$"2vssa6E%y8!#;$!&v$*)!"&7$$"1M:Um_qw8!#:$!1Q%=`'*yo%*)!#;7$7$$"2vssa6E%y8!#;$!&v$*)!"&7$$"2sm**fA:XV"!#;$!0<)*HuLtd)!#:7$7$$"2csD;C@[\"!#;$!1,+++++]#)!#;7$$"2sm**fA:XV"!#;$!0<)*HuLtd)!#:7$7$$"2csD;C@[\"!#;$!1,+++++]#)!#;7$$"2GP9B_2s\"!#;$!1_!HFPTYB)!#;7$7$$"#:!""$!1P^!z+Y%>#)!#;7$$"2GP9B_2s\"!#;$!1_!HFPTYB)!#;7$7$$"#:!""$"1Q^!z+Y%>#)!#;7$$"2jsD;C@[\"!#;$"1'***********\#)!#;7$7$$"2jsD;C@[\"!#;$"1'***********\#)!#;7$$"1)R#f5q@F9!#:$"11=uTkI]')!#;7$7$$"2#GFZ:hUy8!#;$"1'*********\P*)!#;7$$"1)R#f5q@F9!#:$"11=uTkI]')!#;7$7$$"2%GFZ:hUy8!#;$"1'*********\P*)!#;7$$"%v8!"$$"1vK!zaqy&*)!#;7$7$$"#:!""$!1P^!z+Y%>#)!#;7$$"2iH6+cDjb"!#;$!1H@1!e!Hsy!#;7$7$$"1Dznw=::;!#:$!1,++++]iv!#;7$$"2iH6+cDjb"!#;$!1H@1!e!Hsy!#;7$7$$"1Dznw=::;!#:$!1,++++]iv!#;7$$"28">]tAw>;!#;$!190E/DpLv!#;7$7$$"%D;!"$$!1i'Q8m)p0v!#;7$$"28">]tAw>;!#;$!190E/DpLv!#;7$7$$"%D;!"$$"1h'Q8m)p0v!#;7$$"2c#znw=::;!#;$"1'*********\iv!#;7$7$$"2c#znw=::;!#;$"1'*********\iv!#;7$$"#:!""$"1Q^!z+Y%>#)!#;7$7$$"%D;!"$$!1h'Q8m)p0v!#;7$$"2[<7f1"oz;!#;$!1ip^ieuvr!#;7$7$$"2EY7M&GSP<!#;$!1,+++++vo!#;7$$"2[<7f1"oz;!#;$!1ip^ieuvr!#;7$7$$"2EY7M&GSP<!#;$!1,+++++vo!#;7$$"2PT4AtBLu"!#;$!1y<:F0GQo!#;7$7$$"$v"!"#$!1BmPBmX-o!#;7$$"2PT4AtBLu"!#;$!1y<:F0GQo!#;7$7$$"$v"!"#$"1CmPBmX-o!#;7$$"2NY7M&GSP<!#;$"1(**********\(o!#;7$7$$"2NY7M&GSP<!#;$"1(**********\(o!#;7$$"%D;!"$$"1h'Q8m)p0v!#;7$7$$"$v"!"#$!1BmPBmX-o!#;7$$"2>%yt@bK.=!#;$!1J"e&p.z!['!#;7$7$$"1MNO.!\!f=!#:$!1,++++](='!#;7$$"2>%yt@bK.=!#;$!1J"e&p.z!['!#;7$7$$"1MNO.!\!f=!#:$!1,++++](='!#;7$$"213(e"3#[m=!#;$!1X*G([9lSh!#;7$7$$"%v=!"$$!1$)eqkxm$4'!#;7$$"213(e"3#[m=!#;$!1X*G([9lSh!#;7$7$$"%v=!"$$"1#)eqkxm$4'!#;7$$"1NNO.!\!f=!#:$"1(*********\(='!#;7$7$$"1NNO.!\!f=!#:$"1(*********\(='!#;7$$"$v"!"#$"1CmPBmX-o!#;7$7$$"%v=!"$$!1$)eqkxm$4'!#;7$$"2#yX(R9")e#>!#;$!1#=g=HY)zd!#;7$7$$"2Q*z6SwLx>!#;$!1-++++++b!#;7$$"2#yX(R9")e#>!#;$!1#=g=HY)zd!#;7$7$$"2Q*z6SwLx>!#;$!1-++++++b!#;7$$"2NI]'G/m()>!#;$!1rmddB8Ka!#;7$7$$"#?!""$!1`aaauJg`!#;7$$"2NI]'G/m()>!#;$!1rmddB8Ka!#;7$7$$"#?!""$"1baaauJg`!#;7$$"2X*z6SwLx>!#;$"1(************\&!#;7$7$$"2X*z6SwLx>!#;$"1(************\&!#;7$$"%v=!"$$"1#)eqkxm$4'!#;-%&COLORG6&%$RGBG$"#5!""$"1z&=%Q-++g!#;$""!!""-%*THICKNESSG6#""#-%'CURVESG6en7$7$$"0)\<b8A>$*!#:$!#6!""7$$"1"GI&R/Tx&*!#;$!2b;uTddn2"!#;7$7$$"#5!""$!1sb5/iPY5!#:7$$"1"GI&R/Tx&*!#;$!2b;uTddn2"!#;7$7$$"#5!""$"1sb5/iPY5!#:7$$"1')\<b8A>$*!#;$"2'*************4"!#;7$7$$"#5!""$!1sb5/iPY5!#:7$$"2h=oT=l5,"!#;$!2C]#H^eLP5!#;7$7$$"1)=@Q?:--"!#:$!'DJ5!"&7$$"2h=oT=l5,"!#;$!2C]#H^eLP5!#;7$7$$"1)=@Q?:--"!#:$!'DJ5!"&7$$"1TEKV'4H1"!#:$!1EXFQI+r**!#;7$7$$"2bDta'3:;6!#;$!%D'*!"%7$$"1TEKV'4H1"!#:$!1EXFQI+r**!#;7$7$$"2bDta'3:;6!#;$!%D'*!"%7$$"/w)3%ez>6!#8$!1-=)[7xjf*!#;7$7$$"%D6!"$$!13W9=:Bj&*!#;7$$"/w)3%ez>6!#8$!1-=)[7xjf*!#;7$7$$"%D6!"$$"12W9=:Bj&*!#;7$$"1cKZl3:;6!#:$"1&**********\i*!#;7$7$$"1cKZl3:;6!#:$"1'**********\i*!#;7$$"1dxG&)zF*3"!#:$"1Kt"43r9#)*!#;7$7$$"2()=@Q?:--"!#;$"2'*********\7."!#;7$$"1dxG&)zF*3"!#:$"1Kt"43r9#)*!#;7$7$$"2()=@Q?:--"!#;$"2'*********\7."!#;7$$"#5!""$"2<d0T?wj/"!#;7$7$$"%D6!"$$!13W9=:Bj&*!#;7$$"2mJD;%Q'R<"!#;$!1U#R*G6!o?*!#;7$7$$"2l/a<.O)=7!#;$!1-++++]P*)!#;7$$"2mJD;%Q'R<"!#;$!1U#R*G6!o?*!#;7$7$$"2l/a<.O)=7!#;$!&v$*)!"&7$$"2oT"e1.LK7!#;$!1$z(>'o;.%))!#;7$7$$"$D"!"#$!1>==!\1bt)!#;7$$"2oT"e1.LK7!#;$!1$z(>'o;.%))!#;7$7$$"$D"!"#$"1>==!\1bt)!#;7$$"2s/a<.O)=7!#;$"1'*********\P*)!#;7$7$$"2s/a<.O)=7!#;$"1'*********\P*)!#;7$$"%D6!"$$"12W9=:Bj&*!#;7$7$$"$D"!"#$!1>==!\1bt)!#;7$$"2i]oTPg&*G"!#;$!1&yEz0#en%)!#;7$7$$"2H2'fvP-G8!#;$!1,+++++]#)!#;7$$"2i]oTPg&*G"!#;$!1&yEz0#en%)!#;7$7$$"2H2'fvP-G8!#;$!1,+++++]#)!#;7$$"1&yJ%*o"4\8!#:$!1>[(=H/v5)!#;7$7$$"%v8!"$$!0y/\Xa6'z!#:7$$"1&yJ%*o"4\8!#:$!1>[(=H/v5)!#;7$7$$"%v8!"$$"0y/\Xa6'z!#:7$$"2N2'fvP-G8!#;$"1&***********\#)!#;7$7$$"2N2'fvP-G8!#;$"1&***********\#)!#;7$$"$D"!"#$"1>==!\1bt)!#;7$7$$"%v8!"$$!0y/\Xa6'z!#:7$$"2#[q->()R39!#;$!1l([Y&H>Yx!#;7$7$$"2&y%o9Gc@W"!#;$!1,++++]iv!#;7$$"2#[q->()R39!#;$!1l([Y&H>Yx!#;7$7$$"2&y%o9Gc@W"!#;$!1,++++]iv!#;7$$"2Qa%R3Xmo9!#;$!1"**phza,R(!#;7$7$$"#:!""$!1x.=vVw<s!#;7$$"2Qa%R3Xmo9!#;$!1"**phza,R(!#;7$7$$"#:!""$"1w.=vVw<s!#;7$$"2%z%o9Gc@W"!#;$"1'*********\iv!#;7$7$$"2#z%o9Gc@W"!#;$"1'*********\iv!#;7$$"%v8!"$$"0y/\Xa6'z!#:7$7$$"#:!""$!1w.=vVw<s!#;7$$"2%3(fqYv"H:!#;$!1)RG)o]YNq!#;7$7$$"2QcR8$*)>f:!#;$!1,+++++vo!#;7$$"2%3(fqYv"H:!#;$!1)RG)o]YNq!#;7$7$$"1k&R8$*)>f:!#:$!1-+++++vo!#;7$$"2eH8GT7'*e"!#;$!1FJZq#o.o'!#;7$7$$"%D;!"$$!1[Ox%f'H'['!#;7$$"2eH8GT7'*e"!#;$!1FJZq#o.o'!#;7$7$$"%D;!"$$"1[Ox%f'H'['!#;7$$"2WcR8$*)>f:!#;$"1(**********\(o!#;7$7$$"2WcR8$*)>f:!#;$"1'**********\(o!#;7$$"#:!""$"1w.=vVw<s!#;7$7$$"%D;!"$$!1[Ox%f'H'['!#;7$$"2DXPbZM0l"!#;$!1"*fX:'RzK'!#;7$7$$"2D*Rj#H2nn"!#;$!1,++++](='!#;7$$"2DXPbZM0l"!#;$!1"*fX:'RzK'!#;7$7$$"2D*Rj#H2nn"!#;$!1,++++](='!#;7$$"2e#>J#\;/r"!#;$!1%f:xq!zpf!#;7$7$$"$v"!"#$!1=IXBP&zu&!#;7$$"2e#>J#\;/r"!#;$!1%f:xq!zpf!#;7$7$$"$v"!"#$"1>IXBP&zu&!#;7$$"1$*Rj#H2nn"!#:$"1(*********\(='!#;7$7$$"2K*Rj#H2nn"!#;$"1(*********\(='!#;7$$"%D;!"$$"1[Ox%f'H'['!#;7$7$$"$v"!"#$!1=IXBP&zu&!#;7$$"2D2(4*>35x"!#;$!1,R.&4Xbh&!#;7$7$$"1s4=vf&>z"!#:$!1-++++++b!#;7$$"2D2(4*>35x"!#;$!1,R.&4Xbh&!#;7$7$$"1s4=vf&>z"!#:$!1-++++++b!#;7$$"2vli&)\+%H=!#;$!1>Y4UF?\_!#;7$7$$"2-+++++](=!#;$!1><<(zl3)\!#;7$$"2vli&)\+%H=!#;$!1>Y4UF?\_!#;7$7$$"%v=!"$$"2urrrzl3)\!#<7$$"2E(4=vf&>z"!#;$"1(************\&!#;7$7$$"2E(4=vf&>z"!#;$"1(************\&!#;7$$"$v"!"#$"1=IXBP&zu&!#;7$7$$"%v=!"$$!2&=<<(zl3)\!#<7$$"2)*)e8iQ%*))=!#;$!1'RZ<C">*)[!#;7$7$$"1m6t387->!#:$!1-++++]7[!#;7$$"2)*)e8iQ%*))=!#;$!1'RZ<C">*)[!#;7$7$$"1m6t387->!#:$!1-++++]7[!#;7$$"2%=uD%yLY%>!#;$!1.eT8e)z]%!#;7$7$$"#?!""$!2kxBix>_:%!#<7$$"2%=uD%yLY%>!#;$!1.eT8e)z]%!#;7$7$$"#?!""$"1xPAw(>_:%!#;7$$"2m;J(387->!#;$"2t*********\7[!#<7$7$$"2m;J(387->!#;$"2t*********\7[!#<7$$"%v=!"$$"2urrrzl3)\!#<-%&COLORG6&%$RGBG$"#5!""$"1LmBZj>!\&!#;$""!!""-%*THICKNESSG6#""#-%'CURVESG6co7$7$$"1%o)*ocR_"z!#;$!#6!""7$$"1Wuk?0L4#)!#;$!2%4cjyJEq5!#;7$7$$"1UwqZUM/()!#;$!'DJ5!"&7$$"1Wuk?0L4#)!#;$!2%4cjyJEq5!#;7$7$$"1UwqZUM/()!#;$!'DJ5!"&7$$"1TI-7bs?()!#;$!2tEhJ!*R'H5!#;7$7$$"$v)!"$$!1z/@5OSF5!#:7$$"1TI-7bs?()!#;$!2tEhJ!*R'H5!#;7$7$$"$v)!"$$"1z/@5OSF5!#:7$$"1ZwqZUM/()!#;$"2'*********\7."!#;7$7$$"1ZwqZUM/()!#;$"2'*********\7."!#;7$$"1W)yy_"QO')!#;$"2Lmmf,*\P5!#;7$7$$"1*o)*ocR_"z!#;$"2'*************4"!#;7$$"1W)yy_"QO')!#;$"2Lmmf,*\P5!#;7$7$$"$v)!"$$!1z/@5OSF5!#:7$$"1l"y0u5W?*!#;$!1#*zJ2f#\()*!#;7$7$$"1M*4(4xch&*!#;$!%D'*!"%7$$"1l"y0u5W?*!#;$!1#*zJ2f#\()*!#;7$7$$"1M*4(4xch&*!#;$!%D'*!"%7$$"0ZqzL7Ft*!#:$!1fP)ey"*zZ*!#;7$7$$"#5!""$!1&eeeeuaH*!#;7$$"0ZqzL7Ft*!#:$!1fP)ey"*zZ*!#;7$7$$"#5!""$"1&eeeeuaH*!#;7$$"1R*4(4xch&*!#;$"1'**********\i*!#;7$7$$"1R*4(4xch&*!#;$"1'**********\i*!#;7$$"$v)!"$$"2$z/@5OSF5!#;7$7$$"#5!""$!1'eeeeuaH*!#;7$$"1a!)[m"4o-"!#:$!1)H%o:/&\3*!#;7$7$$"2$**\A6-'*\5!#;$!&v$*)!"&7$$"1a!)[m"4o-"!#:$!1)H%o:/&\3*!#;7$7$$"2$**\A6-'*\5!#;$!&v$*)!"&7$$"2=T))\2O63"!#;$!1liV7%[ip)!#;7$7$$"%D6!"$$!1655qBL@%)!#;7$$"2=T))\2O63"!#;$!1liV7%[ip)!#;7$7$$"%D6!"$$"0,,,PK8U)!#:7$$".D7@g*\5!#7$"1'*********\P*)!#;7$7$$".D7@g*\5!#7$"1'*********\P*)!#;7$$"#5!""$"1'eeeeuaH*!#;7$7$$"%D6!"$$!1655qBL@%)!#;7$$"20v#p1))[Q6!#;$!1G,"oV)=C$)!#;7$7$$"219nH0'*4:"!#;$!1,+++++]#)!#;7$$"20v#p1))[Q6!#;$!1G,"oV)=C$)!#;7$7$$"219nH0'*4:"!#;$!1,+++++]#)!#;7$$"2%*=\#*H%*R>"!#;$!1U0(eko>%z!#;7$7$$"$D"!"#$!1WZg**)y;h(!#;7$$"2%*=\#*H%*R>"!#;$!1U0(eko>%z!#;7$7$$"$D"!"#$"1WZg**)y;h(!#;7$$"2:9nH0'*4:"!#;$"1'***********\#)!#;7$7$$"2:9nH0'*4:"!#;$"1&***********\#)!#;7$$"%D6!"$$"0,,,PK8U)!#:7$7$$"$D"!"#$!1WZg**)y;h(!#;7$$"21br+95SD"!#;$!1GNRqdb%e(!#;7$7$$"2C(H%Hn9zD"!#;$!1,++++]iv!#;7$$"21br+95SD"!#;$!1GNRqdb%e(!#;7$7$$"2C(H%Hn9zD"!#;$!1,++++]iv!#;7$$"2Nw'[xoC58!#;$!1,s<EyN1s!#;7$7$$"1d:&fS:&o8!#:$!1-+++++vo!#;7$$"2Nw'[xoC58!#;$!1,s<EyN1s!#;7$7$$"1d:&fS:&o8!#:$!1,+++++vo!#;7$$"2a*yFA%)Qr8!#;$!1E%GDKO^&o!#;7$7$$"%v8!"$$!11FA7@CMo!#;7$$"2a*yFA%)Qr8!#;$!1E%GDKO^&o!#;7$7$$"%v8!"$$"11FA7@CMo!#;7$$"2wb^fS:&o8!#;$"1(**********\(o!#;7$7$$"2wb^fS:&o8!#;$"1(**********\(o!#;7$$"2.ER(eBI@8!#;$"1kS$p-P.<(!#;7$7$$"1tH%Hn9zD"!#:$"1'*********\iv!#;7$$"2.ER(eBI@8!#;$"1kS$p-P.<(!#;7$7$$"1tH%Hn9zD"!#:$"1'*********\iv!#;7$$"$D"!"#$"1WZg**)y;h(!#;7$7$$"%v8!"$$!11FA7@CMo!#;7$$"2<*G.&)HIG9!#;$!114o<km!['!#;7$7$$"1<'*yKtW!["!#:$!1,++++](='!#;7$$"2<*G.&)HIG9!#;$!114o<km!['!#;7$7$$"1<'*yKtW!["!#:$!1,++++](='!#;7$$"2Y+"*[b^"*["!#;$!1G0!>bLy7'!#;7$7$$"#:!""$!1iX/vzjkg!#;7$$"2Y+"*[b^"*["!#;$!1G0!>bLy7'!#;7$7$$"2)*************\"!#;$"1jX/vzjkg!#;7$$"1='*yKtW!["!#:$"1(*********\(='!#;7$7$$"1='*yKtW!["!#:$"1(*********\(='!#;7$$"%v8!"$$"11FA7@CMo!#;7$7$$"#:!""$!1iX/vzjkg!#;7$$"2b"p7h*4la"!#;$!1P!)>'y/ev&!#;7$7$$"1"4jf\Q8f"!#:$!1-++++++b!#;7$$"2b"p7h*4la"!#;$!1P!)>'y/ev&!#;7$7$$"1"4jf\Q8f"!#:$!1-++++++b!#;7$$"2#Q&)4!QUhg"!#;$!1h>a!4$G'R&!#;7$7$$"%D;!"$$!1#y&)3e1BG&!#;7$$"2#Q&)4!QUhg"!#;$!1h>a!4$G'R&!#;7$7$$"2-+++++]i"!#;$"1#y&)3e1BG&!#;7$$"2;4jf\Q8f"!#;$"1(************\&!#;7$7$$"2;4jf\Q8f"!#;$"1(************\&!#;7$$"#:!""$"1jX/vzjkg!#;7$7$$"%D;!"$$!1$y&)3e1BG&!#;7$$"2)z^Ve:2j;!#;$!1#\$RrN*=-&!#;7$7$$"2:$>e?E@)p"!#;$!1-++++]7[!#;7$$"2)z^Ve:2j;!#;$!1#\$RrN*=-&!#;7$7$$"2:$>e?E@)p"!#;$!1-++++]7[!#;7$$"2&y[tR_G?<!#;$!1L=a=)o!\Y!#;7$7$$"$v"!"#$!2mOMcOUkX%!#<7$$"2&y[tR_G?<!#;$!1L=a=)o!\Y!#;7$7$$"$v"!"#$"1mVjlBWcW!#;7$$"2B$>e?E@)p"!#;$"1)*********\7[!#;7$7$$"2B$>e?E@)p"!#;$"2t*********\7[!#<7$$"%D;!"$$"0y&)3e1BG&!#:7$7$$"$v"!"#$!2mOMcOUkX%!#<7$$"2(\!*feY%fx"!#;$!1wZHAcpnU!#;7$7$$"1M8HP*f")z"!#:$!1-+++++DT!#;7$$"2(\!*feY%fx"!#;$!1wZHAcpnU!#;7$7$$"2PL"HP*f")z"!#;$!1-+++++DT!#;7$$"2R#*Gc!)e"H=!#;$!1$3f4VtG(Q!#;7$7$$"2-+++++](=!#;$!16uP,HpTN!#;7$$"2R#*Gc!)e"H=!#;$!1$3f4VtG(Q!#;7$7$$"%v=!"$$"0Tx8!HpTN!#:7$$"2WL"HP*f")z"!#;$"2w**********\7%!#<7$7$$"2WL"HP*f")z"!#;$"2w**********\7%!#<7$$"$v"!"#$"2bOMcOUkX%!#<7$7$$"%v=!"$$!16uP,HpTN!#;7$$"2vpNlw*p#)=!#;$!1Qj%fr[)zM!#;7$7$$"2G0d0#Gf))=!#;$!1-++++]PM!#;7$$"2vpNlw*p#)=!#;$!1Qj%fr[)zM!#;7$7$$"2G0d0#Gf))=!#;$!1.++++]PM!#;7$$"2,Uf6)G!)H>!#;$!18oPYeT^I!#;7$7$$"2G2=QA=b'>!#;$!2C++++++v#!#<7$$"2,Uf6)G!)H>!#;$!18oPYeT^I!#;7$7$$"2G2=QA=b'>!#;$!2C++++++v#!#<7$$"1C7JDdiw>!#:$!2bt6#*[T9i#!#<7$7$$"#?!""$!2$QBmP.&eP#!#<7$$"1C7JDdiw>!#:$!2bt6#*[T9i#!#<7$7$$"#?!""$"1QBmP.&eP#!#;7$$"2L2=QA=b'>!#;$"1)***********\F!#;7$7$$"2L2=QA=b'>!#;$"1)***********\F!#;7$$"1^vZLQO6>!#:$"2uYte"*)\PK!#<7$7$$"2K0d0#Gf))=!#;$"1)*********\PM!#;7$$"1^vZLQO6>!#:$"2uYte"*)\PK!#<7$7$$"2K0d0#Gf))=!#;$"1)*********\PM!#;7$$"%v=!"$$"0Tx8!HpTN!#:-%&COLORG6&%$RGBG$"#5!""$"0w"**R"3'>]!#:$""!!""-%*THICKNESSG6#""#-%'CURVESG6aq7$7$$!#?!""$!2#R(f-M]eP#!#<7$$!1"z]>"zzy>!#:$!2;lqU[6"z@!#<7$7$$!1Q)\`DPu'>!#:$!2C+++++D1#!#<7$$!1"z]>"zzy>!#:$!2;lqU[6"z@!#<7$7$$!2y$)\`DPu'>!#;$!2C+++++D1#!#<7$$!1Q=$f$)R1%>!#:$!2G*[P-4[,<!#<7$7$$!2&\w]mf[=>!#;$!2B+++++]P"!#<7$$!1Q=$f$)R1%>!#:$!2G*[P-4[,<!#<7$7$$!2&\w]mf[=>!#;$!2B+++++]P"!#<7$$!2#)4-#Q<55>!#;$!2CY)))R/%>="!#<7$7$$!2c?*e@sE!*=!#;$!1B+++++vo!#<7$$!2#)4-#Q<55>!#;$!2CY)))R/%>="!#<7$7$$!2c?*e@sE!*=!#;$!1B+++++vo!#<7$$!2VO2'pm:*)=!#;$!1%)\frJQ'4'!#<7$7$$!2)4(QoaW5)=!#;$!18.D\gW?A!#J7$$!2VO2'pm:*)=!#;$!1%)\frJQ'4'!#<7$7$$!2)4(QoaW5)=!#;$!18.D\gW?A!#J7$$!1x+Tmjb")=!#:$"2Z9Ub_,gg$!#>7$7$$!2`?*e@sE!*=!#;$"1y*********\(o!#<7$$!1x+Tmjb")=!#:$"2Z9Ub_,gg$!#>7$7$$!2`?*e@sE!*=!#;$"1y*********\(o!#<7$$!1=\*G2m\*=!#:$"1u/A4S8tz!#<7$7$$!2#\w]mf[=>!#;$"1)**********\P"!#;7$$!1=\*G2m\*=!#:$"1u/A4S8tz!#<7$7$$!2#\w]mf[=>!#;$"1)**********\P"!#;7$$!1ohxSoCZ>!#:$"2E#*oUidBx"!#<7$7$$!2w$)\`DPu'>!#;$"1)*********\i?!#;7$$!1ohxSoCZ>!#:$"2E#*oUidBx"!#<7$7$$!2u$)\`DPu'>!#;$"2x*********\i?!#<7$$!#?!""$"2(R(f-M]eP#!#<7$7$$"1^[z%G)e[k!#;$!#6!""7$$"1Fq*Rb!\&y'!#;$!2l$)p/)>qg5!#;7$7$$"1G)\-3H+7(!#;$!'DJ5!"&7$$"1Fq*Rb!\&y'!#;$!2l$)p/)>qg5!#;7$7$$"1G)\-3H+7(!#;$!'DJ5!"&7$$"1>i<3aZWs!#;$!1#p\u9'><5!#:7$7$$"#v!"#$!1(RgYU7\&**!#;7$$"1>i<3aZWs!#;$!1#p\u9'><5!#:7$7$$"#v!"#$"1(RgYU7\&**!#;7$$"1K)\-3H+7(!#;$"2'*********\7."!#;7$7$$"1K)\-3H+7(!#;$"2'*********\7."!#;7$$"1H]z,bQ2n!#;$"1t7S(zV[2"!#:7$7$$"1b[z%G)e[k!#;$"2'*************4"!#;7$$"1H]z,bQ2n!#;$"1t7S(zV[2"!#:7$7$$"#v!"#$!1)RgYU7\&**!#;7$$"0GG9hA_r(!#:$!1`bGOCPV(*!#;7$7$$"1<)37hz,(y!#;$!%D'*!"%7$$"0GG9hA_r(!#:$!1`bGOCPV(*!#;7$7$$"1<)37hz,(y!#;$!%D'*!"%7$$"1F2695B">)!#;$!/4wdqn<$*!#97$7$$"1ZHRA[l.()!#;$!1-++++]P*)!#;7$$"1F2695B">)!#;$!/4wdqn<$*!#97$7$$"1ZHRA[l.()!#;$!&v$*)!"&7$$"0;`[!=#3s)!#:$!1R#pE*>X@*)!#;7$7$$"$v)!"$$!1eG9t[O+*)!#;7$$"0;`[!=#3s)!#:$!1R#pE*>X@*)!#;7$7$$"$v)!"$$"1cG9t[O+*)!#;7$$"1^HRA[l.()!#;$"1'*********\P*)!#;7$7$$"1_HRA[l.()!#;$"1'*********\P*)!#;7$$"1BKOX9)Gi)!#;$"1A-00_T2!*!#;7$7$$"1B)37hz,(y!#;$"1(**********\i*!#;7$$"1BKOX9)Gi)!#;$"1A-00_T2!*!#;7$7$$"1B)37hz,(y!#;$"1(**********\i*!#;7$$"#v!"#$"1(RgYU7\&**!#;7$7$$"1************\()!#;$!1cG9t[O+*)!#;7$$"18zKMt$p@*!#;$!1`.)Q`:o])!#;7$7$$"121#Rht4g*!#;$!$D)!"$7$$"18zKMt$p@*!#;$!1`.)Q`:o])!#;7$7$$"131#Rht4g*!#;$!1,+++++]#)!#;7$$"1"Gw>FB*f(*!#;$!1cpe*zdz6)!#;7$7$$"#5!""$!1C9))4n&*fz!#;7$$"1"Gw>FB*f(*!#;$!1cpe*zdz6)!#;7$7$$"#5!""$"1C9))4n&*fz!#;7$$"1:1#Rht4g*!#;$"1&***********\#)!#;7$7$$"1:1#Rht4g*!#;$"1&***********\#)!#;7$$"$v)!"$$"1eG9t[O+*)!#;7$7$$"#5!""$!1A9))4n&*fz!#;7$$"2;"Q,GE>I5!#;$!1lf2a%f&Gx!#;7$7$$"2\AX3`qp0"!#;$!1,++++]iv!#;7$$"2;"Q,GE>I5!#;$!1lf2a%f&Gx!#;7$7$$"2\AX3`qp0"!#;$!1,++++]iv!#;7$$"2ERay[Va3"!#;$!0;*>$=R\M(!#:7$7$$"%D6!"$$!1r3hqgW+r!#;7$$"2ERay[Va3"!#;$!0;*>$=R\M(!#:7$7$$"%D6!"$$"1r3hqgW+r!#;7$$"2dAX3`qp0"!#;$"1'*********\iv!#;7$7$$"2dAX3`qp0"!#;$"1'*********\iv!#;7$$"#5!""$"1C9))4n&*fz!#;7$7$$"%D6!"$$!1r3hqgW+r!#;7$$"2QGC?>%yU6!#;$!1iN8cI"G(p!#;7$7$$"2)yXvqrLf6!#;$!1,+++++vo!#;7$$"2QGC?>%yU6!#;$!1iN8cI"G(p!#;7$7$$"2)yXvqrLf6!#;$!1,+++++vo!#;7$$"2xt7d%eU)>"!#;$!1f+U^@M"f'!#;7$7$$"$D"!"#$!1')e`_>(GG'!#;7$$"2xt7d%eU)>"!#;$!1f+U^@M"f'!#;7$7$$"$D"!"#$"1')e`_>(GG'!#;7$$"2#zXvqrLf6!#;$"1(**********\(o!#;7$7$$"2#zXvqrLf6!#;$"1(**********\(o!#;7$$"%D6!"$$"1r3hqgW+r!#;7$7$$"$D"!"#$!1')e`_>(GG'!#;7$$"2/Rm&*o#od7!#;$!1\^h#za(Hi!#;7$7$$"1;@rdk)\E"!#:$!1,++++](='!#;7$$"2/Rm&*o#od7!#;$!1\^h#za(Hi!#;7$7$$"1;@rdk)\E"!#:$!1,++++](='!#;7$$"2B)RM%RgHJ"!#;$!1/>*)o@GYe!#;7$7$$"2))R#[!H.5P"!#;$!1-++++++b!#;7$$"2B)RM%RgHJ"!#;$!1/>*)o@GYe!#;7$7$$"2))R#[!H.5P"!#;$!1-++++++b!#;7$$"2wcsZO-FP"!#;$!1B"\i+jt[&!#;7$7$$"%v8!"$$!12rM=l(HZ&!#;7$$"2wcsZO-FP"!#;$!1B"\i+jt[&!#;7$7$$"%v8!"$$"14rM=l(HZ&!#;7$$"2%*R#[!H.5P"!#;$"1(************\&!#;7$7$$"2%*R#[!H.5P"!#;$"1(************\&!#;7$$"2PtFFu:.N"!#;$"1hu*\Tjdj&!#;7$7$$"2m67xX')\E"!#;$"1(*********\(='!#;7$$"2PtFFu:.N"!#;$"1hu*\Tjdj&!#;7$7$$"2k67xX')\E"!#;$"1(*********\(='!#;7$$"$D"!"#$"1')e`_>(GG'!#;7$7$$"%v8!"$$!12rM=l(HZ&!#;7$$"2P`@>+(*pU"!#;$!1P%o0^$[)4&!#;7$7$$"0hd'phat9!#9$!1-++++]7[!#;7$$"2P`@>+(*pU"!#;$!1P%o0^$[)4&!#;7$7$$"0hd'phat9!#9$!1-++++]7[!#;7$$"2j[nA&3a%["!#;$!1x6Z(ouus%!#;7$7$$"#:!""$!0X$))\A(\i%!#:7$$"2j[nA&3a%["!#;$!1x6Z(ouus%!#;7$7$$"#:!""$"1^M))\A(\i%!#;7$$"21hd'phat9!#;$"2t*********\7[!#<7$7$$"24hd'phat9!#;$"2t*********\7[!#<7$$"%v8!"$$"14rM=l(HZ&!#;7$7$$"#:!""$!21X$))\A(\i%!#<7$$"2lbL8<(HQ:!#;$!2;cMBWMcL%!#<7$7$$"2;XT%35Xq:!#;$!1-+++++DT!#;7$$"2lbL8<(HQ:!#;$!2;cMBWMcL%!#<7$7$$"2;XT%35Xq:!#;$!1-+++++DT!#;7$$"2&[*feEb?f"!#;$!2$=(HA'R!Q%R!#<7$7$$"%D;!"$$!2tAaRY(o-P!#<7$$"2&[*feEb?f"!#;$!2$=(HA'R!Q%R!#<7$7$$"%D;!"$$"1GU&RY(o-P!#;7$$"2AXT%35Xq:!#;$"2w**********\7%!#<7$7$$"2AXT%35Xq:!#;$"2w**********\7%!#<7$$"#:!""$"21X$))\A(\i%!#<7$7$$"%D;!"$$!1GU&RY(o-P!#;7$$"2<)GE#p&GW;!#;$!29&eW28dVN!#<7$7$$"2ds"="Qz)e;!#;$!1-++++]PM!#;7$$"2<)GE#p&GW;!#;$!29&eW28dVN!#<7$7$$"1E<="Qz)e;!#:$!1-++++]PM!#;7$$"2N!*ee4U@p"!#;$!2;(RAF:G>J!#<7$7$$"2(=^du\jN<!#;$!2C++++++v#!#<7$$"2N!*ee4U@p"!#;$!2;(RAF:G>J!#<7$7$$"2(=^du\jN<!#;$!2C++++++v#!#<7$$"271"RqM@S<!#;$!2%R3:(3uhp#!#<7$7$$"$v"!"#$!2;9;n-%=$f#!#<7$$"271"RqM@S<!#;$!2%R3:(3uhp#!#<7$7$$"2-++++++v"!#;$"1UhrES=$f#!#;7$$"2%>^du\jN<!#;$"1)***********\F!#;7$7$$"2%>^du\jN<!#;$"1)***********\F!#;7$$"2KgJ%))=&Rr"!#;$"0=EOhk#[H!#:7$7$$"2is"="Qz)e;!#;$"1)*********\PM!#;7$$"2KgJ%))=&Rr"!#;$"0=EOhk#[H!#:7$7$$"1E<="Qz)e;!#:$"1)*********\PM!#;7$$"%D;!"$$"1GU&RY(o-P!#;7$7$$"$v"!"#$!2;9;n-%=$f#!#<7$$"2Z>Nq6G4y"!#;$!2Pd$pVYgKA!#<7$7$$"2bqS<)e5(z"!#;$!1-++++]i?!#;7$$"2Z>Nq6G4y"!#;$!2Pd$pVYgKA!#<7$7$$"2bqS<)e5(z"!#;$!1-++++]i?!#;7$$"2$*HrxyXs"=!#;$!2#\@uK=&[u"!#<7$7$$"2.@b6O7I%=!#;$!2B+++++]P"!#<7$$"2$*HrxyXs"=!#;$!2#\@uK=&[u"!#<7$7$$"2.@b6O7I%=!#;$!2B+++++]P"!#<7$$"2Uv(4=Nm[=!#;$!20lP&\$\,B"!#<7$7$$"2#4N'4`*pr=!#;$!1B+++++vo!#<7$$"2Uv(4=Nm[=!#;$!20lP&\$\,B"!#<7$7$$"2#4N'4`*pr=!#;$!1B+++++vo!#<7$$"1:?kOI#>(=!#:$!1O3J:qw0n!#<7$7$$"%v=!"$$!2:PLL`oDa%!#=7$$"1:?kOI#>(=!#:$!1O3J:qw0n!#<7$7$$"%v=!"$$"1&QLL`oDa%!#<7$$"2%4N'4`*pr=!#;$"1y*********\(o!#<7$7$$"2%4N'4`*pr=!#;$"1y*********\(o!#<7$$"2D'R24*z2(=!#;$"1P?$4+0r5(!#<7$7$$"2.@b6O7I%=!#;$"1)**********\P"!#;7$$"2D'R24*z2(=!#;$"1P?$4+0r5(!#<7$7$$"20@b6O7I%=!#;$"1)**********\P"!#;7$$"2&4*pE2/_#=!#;$"2[\:.gx)[;!#<7$7$$"112u")e5(z"!#:$"1)*********\i?!#;7$$"2&4*pE2/_#=!#;$"2[\:.gx)[;!#<7$7$$"112u")e5(z"!#:$"1)*********\i?!#;7$$"$v"!"#$"1UhrES=$f#!#;7$7$$"%v=!"$$!2:PLL`oDa%!#=7$$"2^0[2&og!)=!#;$!2x_I9"zw$3$!#>7$7$$"2)4(QoaW5)=!#;$!18.D\gW?A!#J7$$"2^0[2&og!)=!#;$!2x_I9"zw$3$!#>7$7$$"2)4(QoaW5)=!#;$!18.D\gW?A!#J7$$"%v=!"$$"1&QLL`oDa%!#<-%&COLORG6&%$RGBG$"#5!""$"21f'y]R!)4X!#<$""!!""-%*THICKNESSG6#""#-%'CURVESG6ar7$7$$!#?!""$!0e>/y>_:%!#:7$$!2))p$3E*fo*>!#;$!1f'RlSqA9%!#;7$7$$!2['QvxeB$*>!#;$!1-+++++DT!#;7$$!2))p$3E*fo*>!#;$!1f'RlSqA9%!#;7$7$$!2Y'QvxeB$*>!#;$!1-+++++DT!#;7$$!2Dg*3>7"H$>!#;$!1*=2]H)[1Q!#;7$7$$!2-+++++](=!#;$!1")*))zu+"fM!#;7$$!2Dg*3>7"H$>!#;$!1*=2]H)[1Q!#;7$7$$!%v=!"$$"2'z*))zu+"fM!#<7$$!2P'QvxeB$*>!#;$"2w**********\7%!#<7$7$$!1kQvxeB$*>!#:$"2w**********\7%!#<7$$!#?!""$"0e>/y>_:%!#:7$7$$!%v=!"$$!1")*))zu+"fM!#;7$$!2:)Q$RdzH(=!#;$!1aOOVBh[M!#;7$7$$!2<bl8Z86(=!#;$!1-++++]PM!#;7$$!2:)Q$RdzH(=!#;$!1aOOVBh[M!#;7$7$$!2<bl8Z86(=!#;$!1-++++]PM!#;7$$!1T-7"*e#p"=!#:$!1w'Q))f2%pI!#;7$7$$!2OB5;a(Gv<!#;$!2C++++++v#!#<7$$!1T-7"*e#p"=!#:$!1w'Q))f2%pI!#;7$7$$!2OB5;a(Gv<!#;$!2C++++++v#!#<7$$!2\gc)e&Hew"!#;$!1x')GEu$Hm#!#;7$7$$!$v"!"#$!1Vr&GM'f+D!#;7$$!2\gc)e&Hew"!#;$!1x')GEu$Hm#!#;7$7$$!$v"!"#$"1Vr&GM'f+D!#;7$$!2KB5;a(Gv<!#;$"1)***********\F!#;7$7$$!2KB5;a(Gv<!#;$"1)***********\F!#;7$$!2n@KG'>4f=!#;$"1*=xbz0+N$!#;7$7$$!1^bOrM6r=!#:$"1)*********\PM!#;7$$!2n@KG'>4f=!#;$"1*=xbz0+N$!#;7$7$$!1^bOrM6r=!#:$"1(*********\PM!#;7$$!%v=!"$$"2'z*))zu+"fM!#<7$7$$!$v"!"#$!1Vr&GM'f+D!#;7$$!2n*3nmc.?<!#;$!2125L$QIFA!#<7$7$$!2yZGpz\Rq"!#;$!1-++++]i?!#;7$$!2n*3nmc.?<!#;$!2125L$QIFA!#<7$7$$!2yZGpz\Rq"!#;$!2C+++++D1#!#<7$$!287FS*e(3o"!#;$!1N3&Ge#=b<!#;7$7$$!2A"ow)[H^l"!#;$!2B+++++]P"!#<7$$!287FS*e(3o"!#;$!1N3&Ge#=b<!#;7$7$$!2A"ow)[H^l"!#;$!2B+++++]P"!#<7$$!29=u<%[G\;!#;$!2Z+U-PL9C"!#<7$7$$!2;HAGUdri"!#;$!1B+++++vo!#<7$$!29=u<%[G\;!#;$!2Z+U-PL9C"!#<7$7$$!2;HAGUdri"!#;$!1B+++++vo!#<7$$!2QZ9-r**pi"!#;$!1kR?Qf,ln!#<7$7$$!%D;!"$$!1pKr'GXZD&!#<7$$!2QZ9-r**pi"!#;$!1kR?Qf,ln!#<7$7$$!%D;!"$$"/Lr'GXZD&!#:7$$!29HAGUdri"!#;$"1y*********\(o!#<7$7$$!29HAGUdri"!#;$"1y*********\(o!#<7$$!2Ww7J3Eyi"!#;$"1A??rXVIq!#<7$7$$!2="ow)[H^l"!#;$"1)**********\P"!#;7$$!2Ww7J3Eyi"!#;$"1A??rXVIq!#<7$7$$!2="ow)[H^l"!#;$"1)**********\P"!#;7$$!2ww-v_4`n"!#;$"2$>_E,Cq^;!#<7$7$$!2rZGpz\Rq"!#;$"2x*********\i?!#<7$$!2ww-v_4`n"!#;$"2$>_E,Cq^;!#<7$7$$!2rZGpz\Rq"!#;$"1)*********\i?!#;7$$!$v"!"#$"1Vr&GM'f+D!#;7$7$$!%D;!"$$!1pKr'GXZD&!#<7$$!1J2;EV*zh"!#:$!1$=)f617`Q!#=7$7$$!-C9d[<;!#6$!18.D\gW?A!#J7$$!1J2;EV*zh"!#:$!1$=)f617`Q!#=7$7$$!-C9d[<;!#6$!18.D\gW?A!#J7$$!%D;!"$$"/Lr'GXZD&!#:7$7$$"1**[!3c6v!\!#;$!#6!""7$$"1vUES=FH\!#;$!2a`97&*4h4"!#;7$7$$""&!""$!2=SVs\*f(3"!#;7$$"1vUES=FH\!#;$!2a`97&*4h4"!#;7$7$$""&!""$"2=SVs\*f(3"!#;7$$"1-\!3c6v!\!#;$"2'*************4"!#;7$7$$""&!""$!2=SVs\*f(3"!#;7$$"1,kAA(e!*G&!#;$!2@XA(H#[r/"!#;7$7$$"1-\D(4SlW&!#;$!'DJ5!"&7$$"1,kAA(e!*G&!#;$!2@XA(H#[r/"!#;7$7$$"1.\D(4SlW&!#;$!'DJ5!"&7$$"1>5Ux,Dzc!#;$!1h:e(f(e)***!#;7$7$$"1J&[")QGZ1'!#;$!%D'*!"%7$$"1>5Ux,Dzc!#;$!1h:e(f(e)***!#;7$7$$"1J&[")QGZ1'!#;$!%D'*!"%7$$"1n7[tSx>h!#;$!1(p9/uvLb*!#;7$7$$"$D'!"$$!1<]$o&G9K%*!#;7$$"1n7[tSx>h!#;$!1(p9/uvLb*!#;7$7$$"$D'!"$$"1<]$o&G9K%*!#;7$$"1O&[")QGZ1'!#;$"1'**********\i*!#;7$7$$"1O&[")QGZ1'!#;$"1'**********\i*!#;7$$"1a#o'p>n5f!#;$"1bCo;/j6)*!#;7$7$$"11\D(4SlW&!#;$"2'*********\7."!#;7$$"1a#o'p>n5f!#;$"1bCo;/j6)*!#;7$7$$"11\D(4SlW&!#;$"2'*********\7."!#;7$$""&!""$"2=SVs\*f(3"!#;7$7$$"$D'!"$$!1<]$o&G9K%*!#;7$$"1@C>+'G2b'!#;$!1Ke5I2!H5*!#;7$7$$"1>8c=*pAv'!#;$!&v$*)!"&7$$"1@C>+'G2b'!#;$!1Ke5I2!H5*!#;7$7$$"1>8c=*pAv'!#;$!&v$*)!"&7$$"1PAGud82q!#;$!1J_&enCkm)!#;7$7$$"1,++++++v!#;$!1\[[/>wu#)!#;7$$"1PAGud82q!#;$!1J_&enCkm)!#;7$7$$"#v!"#$"1Z[[/>wu#)!#;7$$"1B8c=*pAv'!#;$"1'*********\P*)!#;7$7$$"1B8c=*pAv'!#;$"1'*********\P*)!#;7$$"$D'!"$$"1<]$o&G9K%*!#;7$7$$"#v!"#$!1\[[/>wu#)!#;7$$"1)Q%*\swm^(!#;$!19pu)>s"f#)!#;7$7$$"1G0st#o$Hv!#;$!1,+++++]#)!#;7$$"1)Q%*\swm^(!#;$!19pu)>s"f#)!#;7$7$$"1G0st#o$Hv!#;$!1-+++++]#)!#;7$$"1UH"z&o;()z!#;$!1>@&=xT/$y!#;7$7$$"1,r)H?lhO)!#;$!1,++++]iv!#;7$$"1UH"z&o;()z!#;$!1>@&=xT/$y!#;7$7$$"1,r)H?lhO)!#;$!1,++++]iv!#;7$$"1J)o5i@9^)!#;$!1eye"*=GJu!#;7$7$$"$v)!"$$!1zyyy]Hls!#;7$$"1J)o5i@9^)!#;$!1eye"*=GJu!#;7$7$$"$v)!"$$"0)yyy]Hls!#:7$$"12r)H?lhO)!#;$"1'*********\iv!#;7$7$$"12r)H?lhO)!#;$"1'*********\iv!#;7$$"1$Qos_Vzf(!#;$"1'Q-+1Jh>)!#;7$7$$"1L0st#o$Hv!#;$"1'***********\#)!#;7$$"1$Qos_Vzf(!#;$"1'Q-+1Jh>)!#;7$7$$"1M0st#o$Hv!#;$"1'***********\#)!#;7$$"#v!"#$"1Z[[/>wu#)!#;7$7$$"$v)!"$$!1zyyy]Hls!#;7$$"1bHJKL5M!*!#;$!1E@xKoDJq!#;7$7$$"1Gp8n.ut#*!#;$!1,+++++vo!#;7$$"1bHJKL5M!*!#;$!1E@xKoDJq!#;7$7$$"1Fp8n.ut#*!#;$!%vo!"%7$$"1iNK:(HXc*!#;$!0'zUV8\Nm!#:7$7$$"#5!""$!)#*e^j!")7$$"1iNK:(HXc*!#;$!0'zUV8\Nm!#:7$7$$"#5!""$")#*e^j!")7$$"1Np8n.ut#*!#;$"1(**********\(o!#;7$7$$"1Op8n.ut#*!#;$"1)**********\(o!#;7$$"$v)!"$$"1zyyy]Hls!#;7$7$$"#5!""$!)#*e^j!")7$$"2#\;MeZW75!#;$!1s!z3<YfD'!#;7$7$$"2y-XjK[M-"!#;$!1,++++](='!#;7$$"2#\;MeZW75!#;$!1s!z3<YfD'!#;7$7$$"2y-XjK[M-"!#;$!1,++++](='!#;7$$"1OxQylPl5!#:$!0bK6=r&fe!#:7$7$$"2P!>>;=3A6!#;$!1-++++++b!#;7$$"1OxQylPl5!#:$!0bK6=r&fe!#:7$7$$"2P!>>;=3A6!#;$!1-++++++b!#;7$$"2#oLI!GjK7"!#;$!1E&o;/[/\&!#;7$7$$"%D6!"$$!0a?(y$G!za!#:7$$"2#oLI!GjK7"!#;$!1E&o;/[/\&!#;7$7$$"%D6!"$$"0a?(y$G!za!#:7$$"2W!>>;=3A6!#;$"1(************\&!#;7$7$$"2W!>>;=3A6!#;$"1(************\&!#;7$$"2:fSKUdA6"!#;$"1Wn<sT3qb!#;7$7$$"2&G]ME$[M-"!#;$"1(*********\(='!#;7$$"2:fSKUdA6"!#;$"1Wn<sT3qb!#;7$7$$"2&G]ME$[M-"!#;$"1(*********\(='!#;7$$"#5!""$")#*e^j!")7$7$$"%D6!"$$!0a?(y$G!za!#:7$$"2&*zM*e")Rv6!#;$!/99u)*o*3&!#97$7$$"1ORFG1p=7!#:$!1-++++]7[!#;7$$"2&*zM*e")Rv6!#;$!/99u)*o*3&!#97$7$$"1ORFG1p=7!#:$!1-++++]7[!#;7$$"1H)pg<_7B"!#:$!1iSQopQ4Z!#;7$7$$"$D"!"#$!2k7ue!Q>"e%!#<7$$"1H)pg<_7B"!#:$!1iSQopQ4Z!#;7$7$$"$D"!"#$"2k7ue!Q>"e%!#<7$$"2n$RFG1p=7!#;$"2t*********\7[!#<7$7$$"2n$RFG1p=7!#;$"2t*********\7[!#<7$$"%D6!"$$"0a?(y$G!za!#:7$7$$"$D"!"#$!1ET(e!Q>"e%!#;7$$"2"*GU/"[#RG"!#;$!1#fKuX'e6V!#;7$7$$"2``7L7r;J"!#;$!1-+++++DT!#;7$$"2"*GU/"[#RG"!#;$!1#fKuX'e6V!#;7$7$$"2``7L7r;J"!#;$!1-+++++DT!#;7$$"2)ex8At7O8!#;$!2bnd<F+7"R!#<7$7$$"%v8!"$$!2t'o1"e*p@O!#<7$$"2)ex8At7O8!#;$!2bnd<F+7"R!#<7$7$$"%v8!"$$"1oo1"e*p@O!#;7$$"2e`7L7r;J"!#;$"2w**********\7%!#<7$7$$"2e`7L7r;J"!#;$"2w**********\7%!#<7$$"$D"!"#$"1ET(e!Q>"e%!#;7$7$$"%v8!"$$!2t'o1"e*p@O!#<7$$"2K/2ys6")Q"!#;$!2/uQH]9'4N!#<7$7$$"1dIM9j)yR"!#:$!1-++++]PM!#;7$$"2K/2ys6")Q"!#;$!2/uQH]9'4N!#<7$7$$"2p0VVJ')yR"!#;$!1-++++]PM!#;7$$"10gNx_]M9!#:$!22.ea-zs2$!#<7$7$$"2>Z+9iVFZ"!#;$!2C++++++v#!#<7$$"10gNx_]M9!#:$!22.ea-zs2$!#<7$7$$"2>Z+9iVFZ"!#;$!2C++++++v#!#<7$$"2[">u+wI"["!#;$!1L03/=>ZE!#;7$7$$"#:!""$!2KCCC%=1]C!#<7$$"2[">u+wI"["!#;$!1L03/=>ZE!#;7$7$$"#:!""$"2ECCC%=1]C!#<7$$"2BZ+9iVFZ"!#;$"1)***********\F!#;7$7$$"2BZ+9iVFZ"!#;$"1)***********\F!#;7$$"2))R*yzSnL9!#;$"10$e6c#z9J!#;7$7$$"2v0VVJ')yR"!#;$"1)*********\PM!#;7$$"2))R*yzSnL9!#;$"10$e6c#z9J!#;7$7$$"2v0VVJ')yR"!#;$"1(*********\PM!#;7$$"%v8!"$$"2t'o1"e*p@O!#<7$7$$"#:!""$!2KCCC%=1]C!#<7$$"2l4*[r>JA:!#;$!1L+>Ve@&=#!#;7$7$$"28W>+^hR`"!#;$!2C+++++D1#!#<7$$"2l4*[r>JA:!#;$!1L+>Ve@&=#!#;7$7$$"1T%>+^hR`"!#:$!1-++++]i?!#;7$$"2lR$z#*eFd:!#;$!2Moj.T<+p"!#<7$7$$"12-9UuEz:!#:$!2B+++++]P"!#<7$$"2lR$z#*eFd:!#;$!2Moj.T<+p"!#<7$7$$"2p?S@Wn#z:!#;$!2B+++++]P"!#<7$$"28,L&4sG(e"!#;$!2RcJClzv;"!#<7$7$$"23OfOxexg"!#;$!1B+++++vo!#<7$$"28,L&4sG(e"!#;$!2RcJClzv;"!#<7$7$$"1h$fOxexg"!#:$!1B+++++vo!#<7$$"2V%Hw<#>*3;!#;$!1o>'p(pb!*f!#<7$7$$"-C9d[<;!#6$!18.D\gW?A!#J7$$"2V%Hw<#>*3;!#;$!1o>'p(pb!*f!#<7$7$$"-C9d[<;!#6$!18.D\gW?A!#J7$$"2`*fgqu*oh"!#;$"1eBqm6RcW!#=7$7$$"1h$fOxexg"!#:$"1y*********\(o!#<7$$"2`*fgqu*oh"!#;$"1eBqm6RcW!#=7$7$$"1h$fOxexg"!#:$"1y*********\(o!#<7$$"1"\,,)[*Hg"!#:$"1")zT%f"G&3)!#<7$7$$"2t?S@Wn#z:!#;$"1)**********\P"!#;7$$"1"\,,)[*Hg"!#:$"1")zT%f"G&3)!#<7$7$$"2t?S@Wn#z:!#;$"1)**********\P"!#;7$$"2M)f([=gTb"!#;$"2(*3#=$)*=Yw"!#<7$7$$"2<W>+^hR`"!#;$"1)*********\i?!#;7$$"2M)f([=gTb"!#;$"2(*3#=$)*=Yw"!#<7$7$$"2:W>+^hR`"!#;$"2x*********\i?!#<7$$"#:!""$"2ECCC%=1]C!#<-%&COLORG6&%$RGBG$"#5!""$"1XYgf+++S!#;$""!!""-%*THICKNESSG6#""#-%'CURVESG6ir7$7$$!#?!""$!1hggguJg`!#;7$$!2@))Rr.^s$>!#;$!0lIdH>w:&!#:7$7$$!%v=!"$$!1hgg?#)H?\!#;7$$!2@))Rr.^s$>!#;$!0lIdH>w:&!#:7$7$$!#?!""$"1hggguJg`!#;7$$!2GZ!4?LZF>!#;$"1(f(\gK5,^!#;7$7$$!%v=!"$$"1hgg?#)H?\!#;7$$!2GZ!4?LZF>!#;$"1(f(\gK5,^!#;7$7$$!%v=!"$$!29111A)H?\!#<7$$!2aLz>#z\i=!#;$!1eO6H9E")[!#;7$7$$!2(4:$)4U5W=!#;$!1-++++]7[!#;7$$!2aLz>#z\i=!#;$!1eO6H9E")[!#;7$7$$!2(4:$)4U5W=!#;$!1-++++]7[!#;7$$!14OA23x*y"!#:$!1_,Fg0w$f%!#;7$7$$!$v"!"#$!21YR0Y(e1W!#<7$$!14OA23x*y"!#:$!1_,Fg0w$f%!#;7$7$$!$v"!"#$"21YR0Y(e1W!#<7$$!2'3:$)4U5W=!#;$"2t*********\7[!#<7$7$$!2'3:$)4U5W=!#;$"2t*********\7[!#<7$$!%v=!"$$"1hgg?#)H?\!#;7$7$$!$v"!"#$!21YR0Y(e1W!#<7$$!2NKSd"z3?<!#;$!1C#GMY;&*G%!#;7$7$$!2Y[$=>jh%o"!#;$!1-+++++DT!#;7$$!2NKSd"z3?<!#;$!1C#GMY;&*G%!#;7$7$$!2Y[$=>jh%o"!#;$!1-+++++DT!#;7$$!2&4g!)>Ll`;!#;$!21&p1TnSnR!#<7$7$$!%D;!"$$!1:!\tGG#)z$!#;7$$!2&4g!)>Ll`;!#;$!21&p1TnSnR!#<7$7$$!%D;!"$$"1:!\tGG#)z$!#;7$$!2N[$=>jh%o"!#;$"2w**********\7%!#<7$7$$!2N[$=>jh%o"!#;$"2w**********\7%!#<7$$!$v"!"#$"1h%R0Y(e1W!#;7$7$$!%D;!"$$!2`,\tGG#)z$!#<7$$!2Jm#e\_b!f"!#;$!2YN&HFh%pi$!#<7$7$$!2X/ICtX"e:!#;$!1-++++]PM!#;7$$!2Jm#e\_b!f"!#;$!2YN&HFh%pi$!#<7$7$$!2X/ICtX"e:!#;$!1-++++]PM!#;7$$!2bzkzZ/<`"!#;$!2(GO>r`7jK!#<7$7$$!#:!""$!0%RRRf3AI!#:7$$!2bzkzZ/<`"!#;$!2(GO>r`7jK!#<7$7$$!#:!""$"1RRRRf3AI!#;7$$!2Q/ICtX"e:!#;$"1)*********\PM!#;7$7$$!2Q/ICtX"e:!#;$"1)*********\PM!#;7$$!%D;!"$$"1:!\tGG#)z$!#;7$7$$!#:!""$!2.%RRRf3AI!#<7$$!2#ek<n6Fx9!#;$!2<[H0e3](G!#<7$7$$!0x_L&Rtg9!#9$!2C++++++v#!#<7$$!2#ek<n6Fx9!#;$!2<[H0e3](G!#<7$7$$!0x_L&Rtg9!#9$!2C++++++v#!#<7$$!2\\ee+4!G9!#;$!2/GyxY]%eC!#<7$7$$!1)fK(QDE*Q"!#:$!2C+++++D1#!#<7$$!2\\ee+4!G9!#;$!2/GyxY]%eC!#<7$7$$!1)fK(QDE*Q"!#:$!2C+++++D1#!#<7$$!17[c#Q[]Q"!#:$!2Y`$*e*QB2?!#<7$7$$!%v8!"$$!2x5Z$)R^%e=!#<7$$!17[c#Q[]Q"!#:$!2Y`$*e*QB2?!#<7$7$$!%v8!"$$"2&3rM)R^%e=!#<7$$!2wfK(QDE*Q"!#;$"1)*********\i?!#;7$7$$!2wfK(QDE*Q"!#;$"1)*********\i?!#;7$$!1'*zb'zX&49!#:$"1v*o5)=]_A!#;7$7$$!2&pFN`Rtg9!#;$"1)***********\F!#;7$$!1'*zb'zX&49!#:$"1v*o5)=]_A!#;7$7$$!2&pFN`Rtg9!#;$"1)***********\F!#;7$$!#:!""$"1RRRRf3AI!#;7$7$$!%v8!"$$!2x5Z$)R^%e=!#<7$$!2#)p=BHX)[8!#;$!2F;ZA*3&)=:!#<7$7$$!2_g3J3Z"R8!#;$!2B+++++]P"!#<7$$!2#)p=BHX)[8!#;$!2F;ZA*3&)=:!#<7$7$$!2_g3J3Z"R8!#;$!2B+++++]P"!#<7$$!2_x^lm>;K"!#;$!1"R_'R$=4")*!#<7$7$$!2[.!)p--+J"!#;$!1B+++++vo!#<7$$!2_x^lm>;K"!#;$!1"R_'R$=4")*!#<7$7$$!2[.!)p--+J"!#;$!1B+++++vo!#<7$$!2<"*eRnnbI"!#;$!1x)fA$zx=Q!#<7$7$$!2MLLL*oc+8!#;$!18.D\gW?A!#J7$$!2<"*eRnnbI"!#;$!1x)fA$zx=Q!#<7$7$$!2MLLL*oc+8!#;$!18.D\gW?A!#J7$$!1A%fK#y"\I"!#:$"1)=o#z-[?I!#<7$7$$!2[.!)p--+J"!#;$"1y*********\(o!#<7$$!1A%fK#y"\I"!#:$"1)=o#z-[?I!#<7$7$$!2[.!)p--+J"!#;$"1y*********\(o!#<7$$!2TJ\/0)))G8!#;$"2ZAruF%Q@6!#<7$7$$!10'3J3Z"R8!#:$"1)**********\P"!#;7$$!2TJ\/0)))G8!#;$"2ZAruF%Q@6!#<7$7$$!10'3J3Z"R8!#:$"1)**********\P"!#;7$$!%v8!"$$"2&3rM)R^%e=!#<7$7$$"1dL"yAPNF$!#;$!#6!""7$$"0X_S([odL!#:$!2[)G2oEUy5!#;7$7$$"1:ZRV5ymO!#;$!'DJ5!"&7$$"0X_S([odL!#:$!2[)G2oEUy5!#;7$7$$"2dr%RV5ymO!#<$!'DJ5!"&7$$"1@s-8E0#o$!#;$!2s\;P*G^F5!#;7$7$$"$v$!"$$!23D!odOn<5!#;7$$"1@s-8E0#o$!#;$!2s\;P*G^F5!#;7$7$$"$v$!"$$"23D!odOn<5!#;7$$"2%=ZRV5ymO!#<$"2'*********\7."!#;7$7$$"2%=ZRV5ymO!#<$"2'*********\7."!#;7$$"2l)4;ZWYSO!#<$"2`91aXus."!#;7$7$$"1fL"yAPNF$!#;$"2'*************4"!#;7$$"2l)4;ZWYSO!#<$"2`91aXus."!#;7$7$$"$v$!"$$!23D!odOn<5!#;7$$"1CJ`pGf$*R!#;$!1=KCyg(*e(*!#;7$7$$"1M?@u4A5T!#;$!%D'*!"%7$$"1CJ`pGf$*R!#;$!1=KCyg(*e(*!#;7$7$$"1M?@u4A5T!#;$!%D'*!"%7$$"1Z6Op/;LV!#;$!1J'["e#Q#e#*!#;7$7$$"2wBd5a9di%!#<$!&v$*)!"&7$$"1Z6Op/;LV!#;$!1J'["e#Q#e#*!#;7$7$$"2wBd5a9di%!#<$!&v$*)!"&7$$"1>kB/)=Cs%!#;$!1J+LU.$[y)!#;7$7$$""&!""$!1jjj.!HV\)!#;7$$"1>kB/)=Cs%!#;$!1J+LU.$[y)!#;7$7$$""&!""$"1kjj.!HV\)!#;7$$"29Cd5a9di%!#<$"1'*********\P*)!#;7$7$$"29Cd5a9di%!#<$"1'*********\P*)!#;7$$"1Pmj(zS**R%!#;$"1X)*HhD`n#*!#;7$7$$"1P?@u4A5T!#;$"1'**********\i*!#;7$$"1Pmj(zS**R%!#;$"1X)*HhD`n#*!#;7$7$$"1P?@u4A5T!#;$"1'**********\i*!#;7$$"$v$!"$$"23D!odOn<5!#;7$7$$""&!""$!1jjj.!HV\)!#;7$$"1f0A<&H_8&!#;$!138ZMiPC$)!#;7$7$$"1)RuXk#H=_!#;$!1,+++++]#)!#;7$$"1f0A<&H_8&!#;$!138ZMiPC$)!#;7$7$$"1)RuXk#H=_!#;$!1,+++++]#)!#;7$$"1^zGMl\Rb!#;$!1u$eQ4B#fy!#;7$7$$"0t?#>A@$)e!#:$!1,++++]iv!#;7$$"1^zGMl\Rb!#;$!1u$eQ4B#fy!#;7$7$$"0t?#>A@$)e!#:$!1,++++]iv!#;7$$"1x"ew)\p**f!#;$!.7KCK[U(!#87$7$$"$D'!"$$!1Zh=ZHq:s!#;7$$"1x"ew)\p**f!#;$!.7KCK[U(!#87$7$$"$D'!"$$"1Zh=ZHq:s!#;7$$"1O2A>A@$)e!#;$"1'*********\iv!#;7$7$$"1N2A>A@$)e!#;$"1'*********\iv!#;7$$"1;!y%4l$>]&!#;$"1(3(y>\$R(z!#;7$7$$"1.WdWEH=_!#;$"1'***********\#)!#;7$$"1;!y%4l$>]&!#;$"1(3(y>\$R(z!#;7$7$$"1.WdWEH=_!#;$"1'***********\#)!#;7$$""&!""$"1jjj.!HV\)!#;7$7$$"$D'!"$$!1Zh=ZHq:s!#;7$$"1_bJ*oMxY'!#;$!1bN7zSv%*p!#;7$7$$"1.5J:kcEm!#;$!1,+++++vo!#;7$$"1_bJ*oMxY'!#;$!1bN7zSv%*p!#;7$7$$"1.5J:kcEm!#;$!1,+++++vo!#;7$$"0(4\hW\Op!#:$!1N+#Q&>2ll!#;7$7$$"1wC#>C!eXu!#;$!1-++++](='!#;7$$"0(4\hW\Op!#:$!1N+#Q&>2ll!#;7$7$$"1vC#>C!eXu!#;$!1,++++](='!#;7$$"1(ot*fm&\Y(!#;$!0`&)H;E#oh!#:7$7$$"#v!"#$!1`+x)G!RUh!#;7$$"1(ot*fm&\Y(!#;$!0`&)H;E#oh!#:7$7$$"1,++++++v!#;$"1`+x)G!RUh!#;7$$"0[A>C!eXu!#:$"1(*********\(='!#;7$7$$"0[A>C!eXu!#:$"1(*********\(='!#;7$$"1%\E.G[vN(!#;$"1F/#eW[eE'!#;7$7$$"135J:kcEm!#;$"1(**********\(o!#;7$$"1%\E.G[vN(!#;$"1F/#eW[eE'!#;7$7$$"135J:kcEm!#;$"1(**********\(o!#;7$$"$D'!"$$"1Zh=ZHq:s!#;7$7$$"#v!"#$!1`+x)G!RUh!#;7$$"18rH<(fH%z!#;$!19M^WyiVd!#;7$7$$"1L1#\j!\%H)!#;$!1-++++++b!#;7$$"18rH<(fH%z!#;$!19M^WyiVd!#;7$7$$"1L1#\j!\%H)!#;$!1-++++++b!#;7$$"1(>$oY>Ml%)!#;$!0wv12QMM&!#:7$7$$"$v)!"$$!1*H,()4=A9&!#;7$$"1(>$oY>Ml%)!#;$!0wv12QMM&!#:7$7$$"$v)!"$$"1*H,()4=A9&!#;7$$"1P1#\j!\%H)!#;$"1(************\&!#;7$7$$"1Q1#\j!\%H)!#;$"1(************\&!#;7$$"#v!"#$"1`+x)G!RUh!#;7$7$$"$v)!"$$!1*H,()4=A9&!#;7$$"0Lu?"=s%)*)!#:$!2N)3k'*pfT\!#<7$7$$"1f6U")Q"[<*!#;$!1-++++]7[!#;7$$"0Lu?"=s%)*)!#:$!2N)3k'*pfT\!#<7$7$$"1e6U")Q"[<*!#;$!1-++++]7[!#;7$$"1H(p`4y()[*!#;$!2BN`C&zKJX!#<7$7$$"#5!""$!0z4-zve;%!#:7$$"1H(p`4y()[*!#;$!2BN`C&zKJX!#<7$7$$"#5!""$"0z4-zve;%!#:7$$"1k6U")Q"[<*!#;$"2t*********\7[!#<7$7$$"1k6U")Q"[<*!#;$"2t*********\7[!#<7$$"$v)!"$$"1*H,()4=A9&!#;7$7$$"#5!""$!0z4-zve;%!#:7$$"1vw"[L7H+"!#:$!2V@(\Ty,TT!#<7$7$$"2#\v**)\3_+"!#;$!1-+++++DT!#;7$$"1vw"[L7H+"!#:$!2V@(\Ty,TT!#<7$7$$"2%\v**)\3_+"!#;$!1-+++++DT!#;7$$"2s;-&f:!)\5!#;$!1A>Ex&39r$!#;7$7$$"2eY'eUco&3"!#;$!1-++++]PM!#;7$$"2s;-&f:!)\5!#;$!1A>Ex&39r$!#;7$7$$"2eY'eUco&3"!#;$!1-++++]PM!#;7$$"2UICmo.#*4"!#;$!1vOVw-i&H$!#;7$7$$"%D6!"$$!0Vw4V?22$!#:7$$"2UICmo.#*4"!#;$!1vOVw-i&H$!#;7$7$$"%D6!"$$"0Vw4V?22$!#:7$$"2lY'eUco&3"!#;$"1)*********\PM!#;7$7$$"2lY'eUco&3"!#;$"1)*********\PM!#;7$$"2mB$e#GZc,"!#;$"2l>#zX*R*QS!#<7$7$$"2)\v**)\3_+"!#;$"2w**********\7%!#<7$$"2mB$e#GZc,"!#;$"2l>#zX*R*QS!#<7$7$$"2)\v**)\3_+"!#;$"2w**********\7%!#<7$$"#5!""$"0z4-zve;%!#:7$7$$"%D6!"$$!0Vw4V?22$!#:7$$"2\>f&GERX6!#;$!2VdvqXf@'G!#<7$7$$"2l(=pHANe6!#;$!2C++++++v#!#<7$$"2\>f&GERX6!#;$!2VdvqXf@'G!#<7$7$$"2l(=pHANe6!#;$!2C++++++v#!#<7$$"16x7#[pl="!#:$!2ET-<:K6S#!#<7$7$$"27i%[aXe=7!#;$!2C+++++D1#!#<7$$"16x7#[pl="!#:$!2ET-<:K6S#!#<7$7$$"27i%[aXe=7!#;$!2C+++++D1#!#<7$$"2%*4d&Q]XE7!#;$!2$[S17F+L>!#<7$7$$"$D"!"#$!2)*344P%H(f"!#<7$$"2%*4d&Q]XE7!#;$!2$[S17F+L>!#<7$7$$"$D"!"#$"2.444P%H(f"!#<7$$"2<i%[aXe=7!#;$"1)*********\i?!#;7$7$$"2<i%[aXe=7!#;$"2x*********\i?!#<7$$"2$*)f&y7]4>"!#;$"2u0#z'HusQ#!#<7$7$$"1x=pHANe6!#:$"1)***********\F!#;7$$"2$*)f&y7]4>"!#;$"2u0#z'HusQ#!#<7$7$$"1x=pHANe6!#:$"1)***********\F!#;7$$"%D6!"$$"0Vw4V?22$!#:7$7$$"$D"!"#$!2)*344P%H(f"!#<7$$"2.eOPX9-E"!#;$!2U>^b\z6V"!#<7$7$$"28Eq%3u9k7!#;$!2B+++++]P"!#<7$$"2.eOPX9-E"!#;$!2U>^b\z6V"!#<7$7$$"28Eq%3u9k7!#;$!2B+++++]P"!#<7$$"2G$3(\'yQ$G"!#;$!1FeRtDL6()!#<7$7$$"2:Ze')pm7H"!#;$!1B+++++vo!#<7$$"2G$3(\'yQ$G"!#;$!1FeRtDL6()!#<7$7$$"2:Ze')pm7H"!#;$!1B+++++vo!#<7$$"2w+=&oZ&oH"!#;$!2/X!\oA,xD!#=7$7$$"2MLLL*oc+8!#;$!18.D\gW?A!#J7$$"2w+=&oZ&oH"!#;$!2/X!\oA,xD!#=7$7$$"2MLLL*oc+8!#;$!18.D\gW?A!#J7$$"26o#)H&)*y%H"!#;$"17D&f3e:T%!#<7$7$$"2=Ze')pm7H"!#;$"1y*********\(o!#<7$$"26o#)H&)*y%H"!#;$"17D&f3e:T%!#<7$7$$"2=Ze')pm7H"!#;$"1y*********\(o!#<7$$"2v2#H)p(Ro7!#;$"2Ad$RfE"QF"!#<7$7$$"2<Eq%3u9k7!#;$"1)**********\P"!#;7$$"2v2#H)p(Ro7!#;$"2Ad$RfE"QF"!#<7$7$$"2<Eq%3u9k7!#;$"1)**********\P"!#;7$$"$D"!"#$"0444P%H(f"!#:-%&COLORG6&%$RGBG$"#5!""$"1*pA%oh>!\$!#;$""!!""-%*THICKNESSG6#""#-%'CURVESG6es7$7$$!#?!""$!19I$fC)HWj!#;7$$!2C&4#['z!)y>!#;$!1jZ[$>cSI'!#;7$7$$!2/=&pFU3I>!#;$!1,++++](='!#;7$$!2C&4#['z!)y>!#;$!1jZ[$>cSI'!#;7$7$$!2/=&pFU3I>!#;$!1,++++](='!#;7$$!22?=![YC#*=!#;$!1)*)**eVaE4'!#;7$7$$!%v=!"$$!1$)[m(yD-/'!#;7$$!22?=![YC#*=!#;$!1)*)**eVaE4'!#;7$7$$!%v=!"$$"1&)[m(yD-/'!#;7$$!2'y^pFU3I>!#;$"1(*********\(='!#;7$7$$!2%y^pFU3I>!#;$"1(*********\(='!#;7$$!#?!""$"18I$fC)HWj!#;7$7$$!2-+++++](=!#;$!1&)[m(yD-/'!#;7$$!0th$[l^1=!#9$!1&[5S)*em(e!#;7$7$$!$v"!"#$!0T2nQH)4d!#:7$$!0th$[l^1=!#9$!1&[5S)*em(e!#;7$7$$!%v=!"$$"1&)[m(yD-/'!#;7$$!2v?yViY8#=!#;$"1R,3MkS#*e!#;7$7$$!$v"!"#$"0T2nQH)4d!#:7$$!2v?yViY8#=!#;$"1R,3MkS#*e!#;7$7$$!$v"!"#$!0T2nQH)4d!#:7$$!2%p)**[CPHs"!#;$!1>20`^%)[c!#;7$7$$!2;]^pB32n"!#;$!1-++++++b!#;7$$!2%p)**[CPHs"!#;$!1>20`^%)[c!#;7$7$$!2;]^pB32n"!#;$!1-++++++b!#;7$$!2L%f/1$H6k"!#;$!19tu;))G6a!#;7$7$$!%D;!"$$!1Mr'G&)pBN&!#;7$$!2L%f/1$H6k"!#;$!19tu;))G6a!#;7$7$$!%D;!"$$"1Lr'G&)pBN&!#;7$$!/:&pB32n"!#8$"1(************\&!#;7$7$$!/:&pB32n"!#8$"1(************\&!#;7$$!$v"!"#$"0T2nQH)4d!#:7$7$$!%D;!"$$!1Mr'G&)pBN&!#;7$$!2#*)[BH")Rg:!#;$!17"3#*G5y;&!#;7$7$$!#:!""$!1utt`')>`\!#;7$$!2#*)[BH")Rg:!#;$!17"3#*G5y;&!#;7$7$$!%D;!"$$"1Lr'G&)pBN&!#;7$$!2rR(>I8]e:!#;$"1#o&3;tDM^!#;7$7$$!#:!""$"1utt`')>`\!#;7$$!2rR(>I8]e:!#;$"1#o&3;tDM^!#;7$7$$!#:!""$!1utt`')>`\!#;7$$!2%QW*QeAG["!#;$!2/f!e)yvp!\!#<7$7$$!2=(G*e,B`X"!#;$!1-++++]7[!#;7$$!2%QW*QeAG["!#;$!2/f!e)yvp!\!#<7$7$$!2=(G*e,B`X"!#;$!1-++++]7[!#;7$$!1=%)zwa&pS"!#:$!1/(3w([uOY!#;7$7$$!%v8!"$$!2t/i)GI4%\%!#<7$$!1=%)zwa&pS"!#:$!1/(3w([uOY!#;7$7$$!%v8!"$$"2t/i)GI4%\%!#<7$$!22(G*e,B`X"!#;$"2t*********\7[!#<7$7$$!20(G*e,B`X"!#;$"2t*********\7[!#<7$$!#:!""$"1utt`')>`\!#;7$7$$!%v8!"$$!2t/i)GI4%\%!#<7$$!2j;d"yeyL8!#;$!2veN,nx;N%!#<7$7$$!2NTl:j)o"G"!#;$!29+++++]7%!#<7$$!2j;d"yeyL8!#;$!2veN,nx;N%!#<7$7$$!2NTl:j)o"G"!#;$!1-+++++DT!#;7$$!1rj(R5fXE"!#:$!1i*H"G\#\/%!#;7$7$$!$D"!"#$!2'Q$zCM_?'R!#<7$$!1rj(R5fXE"!#:$!1i*H"G\#\/%!#;7$7$$!$D"!"#$"1R$zCM_?'R!#;7$$!2ETl:j)o"G"!#;$"2w**********\7%!#<7$7$$!2CTl:j)o"G"!#;$"2w**********\7%!#<7$$!%v8!"$$"2t/i)GI4%\%!#<7$7$$!$D"!"#$!2'Q$zCM_?'R!#<7$$!2*[kcn[W(>"!#;$!1MXQGKbEP!#;7$7$$!2'>QA(zNd9"!#;$!1-++++]PM!#;7$$!2*[kcn[W(>"!#;$!1MXQGKbEP!#;7$7$$!2'>QA(zNd9"!#;$!1-++++]PM!#;7$$!1Q??;b%f8"!#:$!1%z))3m*HxL!#;7$7$$!%D6!"$$!2X#p8e'GeH$!#<7$$!1Q??;b%f8"!#:$!1%z))3m*HxL!#;7$7$$!%D6!"$$"1Dp8e'GeH$!#;7$$!1>QA(zNd9"!#:$"1)*********\PM!#;7$7$$!1>QA(zNd9"!#:$"1)*********\PM!#;7$$!$D"!"#$"1R$zCM_?'R!#;7$7$$!%D6!"$$!2X#p8e'GeH$!#<7$$!2'*o_95ks2"!#;$!2%4-,Uua7I!#<7$7$$!2YTi0^4;/"!#;$!2C++++++v#!#<7$$!2'*o_95ks2"!#;$!2%4-,Uua7I!#<7$7$$!2YTi0^4;/"!#;$!2C++++++v#!#<7$$!28_/Wvj^-"!#;$!1N^x]$*f6E!#;7$7$$!#5!""$!2y?#z211cB!#<7$$!28_/Wvj^-"!#;$!1N^x]$*f6E!#;7$7$$!#5!""$"13Az211cB!#;7$$!19Cc5&4;/"!#:$"1)***********\F!#;7$7$$!19Cc5&4;/"!#:$"1)***********\F!#;7$$!%D6!"$$"1Dp8e'GeH$!#;7$7$$!#5!""$!2y?#z211cB!#<7$$!1,ifpNB&y*!#;$!2>4An`@1=#!#<7$7$$!0'oZF-`o'*!#:$!2C+++++D1#!#<7$$!1,ifpNB&y*!#;$!2>4An`@1=#!#<7$7$$!1hoZF-`o'*!#;$!2F+++++D1#!#<7$$!1A))3^BG'Q*!#;$!22:,pqWDr"!#<7$7$$!1(=N`;)eg"*!#;$!2B+++++]P"!#<7$$!1A))3^BG'Q*!#;$!22:,pqWDr"!#<7$7$$!1(=N`;)eg"*!#;$!2B+++++]P"!#<7$$!1J&e=1,z2*!#;$!22"y(fTaY>"!#<7$7$$!1Q2cTxl!)))!#;$!1B+++++vo!#<7$$!1J&e=1,z2*!#;$!22"y(fTaY>"!#<7$7$$!1Q2cTxl!)))!#;$!1B+++++vo!#<7$$!/p)))*G"3())!#9$!2W2Ah0H0@'!#=7$7$$!1LLL466"z)!#;$!18.D\gW?A!#J7$$!/p)))*G"3())!#9$!2W2Ah0H0@'!#=7$7$$!1LLL466"z)!#;$!18.D\gW?A!#J7$$!1K%QIR=Zz)!#;$"19O6<;^fC!#=7$7$$!1P2cTxl!)))!#;$"1y*********\(o!#<7$$!1K%QIR=Zz)!#;$"19O6<;^fC!#=7$7$$!1P2cTxl!)))!#;$"1y*********\(o!#<7$$!1X/wtS$H#*)!#;$"1DCo0u8Ey!#<7$7$$!1%=N`;)eg"*!#;$"1)**********\P"!#;7$$!1X/wtS$H#*)!#;$"1DCo0u8Ey!#<7$7$$!1%=N`;)eg"*!#;$"1)**********\P"!#;7$$!145*\Ve#e%*!#;$"1`]CR@ak<!#;7$7$$!1coZF-`o'*!#;$"1)*********\i?!#;7$$!145*\Ve#e%*!#;$"1`]CR@ak<!#;7$7$$!1doZF-`o'*!#;$"2#)*********\i?!#<7$$!#5!""$"13Az211cB!#;7$7$$"1*fDJ=DGa"!#;$!#6!""7$$"1(fd33I&R;!#;$!2y;ZW:uE0"!#;7$7$$"2tr!f)er"Q<!#<$!'DJ5!"&7$$"1(fd33I&R;!#;$!2y;ZW:uE0"!#;7$7$$"2tr!f)er"Q<!#<$!'DJ5!"&7$$"2bn@Ft^)==!#<$!1Ap*HXoy$**!#;7$7$$"2Q,@K$frr>!#<$!1,+++++D'*!#;7$$"2bn@Ft^)==!#<$!1Ap*HXoy$**!#;7$7$$"2Q,@K$frr>!#<$!1,+++++D'*!#;7$$"2e;Mn6a/.#!#<$!1#z.Uw\nO*!#;7$7$$"2=z#H!>OOD#!#<$!&v$*)!"&7$$"2e;Mn6a/.#!#<$!1#z.Uw\nO*!#;7$7$$"2:z#H!>OOD#!#<$!&v$*)!"&7$$"29>(3c#RCG#!#<$!1cz%3fTy"))!#;7$7$$"#D!"#$!1"==QdddU)!#;7$$"29>(3c#RCG#!#<$!1cz%3fTy"))!#;7$7$$"#D!"#$"1#==QdddU)!#;7$$"2Pz#H!>OOD#!#<$"1'*********\P*)!#;7$7$$"2Pz#H!>OOD#!#<$"1'*********\P*)!#;7$$"2s"3A=O`7A!#<$"1Z&y*4lg&4*!#;7$7$$"2b,@K$frr>!#<$"1(**********\i*!#;7$$"2s"3A=O`7A!#<$"1Z&y*4lg&4*!#;7$7$$"2b,@K$frr>!#<$"1'**********\i*!#;7$$"2%eyM[qr*)=!#<$"1t'3Mib1'**!#;7$7$$"2%=2f)er"Q<!#<$"2'*********\7."!#;7$$"2%eyM[qr*)=!#<$"1t'3Mib1'**!#;7$7$$"2%=2f)er"Q<!#<$"2'*********\7."!#;7$$"1=r*G'zsF;!#;$"2#e1/i\Az5!#;7$7$$"/c7$=DGa"!#9$"2'*************4"!#;7$$"1=r*G'zsF;!#;$"2#e1/i\Az5!#;7$7$$"#D!"#$!1"==QdddU)!#;7$$"13^!e0!RjD!#;$!0"GpIX'[G)!#:7$7$$"22&3us9C!f#!#<$!1,+++++]#)!#;7$$"13^!e0!RjD!#;$!0"GpIX'[G)!#:7$7$$"22&3us9C!f#!#<$!1,+++++]#)!#;7$$"11#er77%HG!#;$!19q$*pmnVx!#;7$7$$"1%3"e[/&p(H!#;$!1,++++]iv!#;7$$"11#er77%HG!#;$!19q$*pmnVx!#;7$7$$"2W3"e[/&p(H!#<$!1,++++]iv!#;7$$"1%QMT/bD9$!#;$!17RFu_SGs!#;7$7$$"1)4W*))3zYM!#;$!1,+++++vo!#;7$$"1%QMT/bD9$!#;$!17RFu_SGs!#;7$7$$"1)4W*))3zYM!#;$!1,+++++vo!#;7$$"1<)eP!z99N!#;$!0NnqM"GXn!#:7$7$$"$v$!"$$!1`pK&Q7d['!#;7$$"1<)eP!z99N!#;$!0NnqM"GXn!#:7$7$$"$v$!"$$"1apK&Q7d['!#;7$$"1,T%*))3zYM!#;$"1(**********\(o!#;7$7$$"1,T%*))3zYM!#;$"1(**********\(o!#;7$$"1$zR78PpI$!#;$"16"=yd%o=r!#;7$7$$"1(3"e[/&p(H!#;$"1'*********\iv!#;7$$"1$zR78PpI$!#;$"16"=yd%o=r!#;7$7$$"1(3"e[/&p(H!#;$"1'*********\iv!#;7$$"1%*)e/)['yk#!#;$"10wu:Vno")!#;7$7$$"1`3us9C!f#!#;$"1'***********\#)!#;7$$"1%*)e/)['yk#!#;$"10wu:Vno")!#;7$7$$"1`3us9C!f#!#;$"1'***********\#)!#;7$$"#D!"#$"1#==QdddU)!#;7$7$$"$v$!"$$!1apK&Q7d['!#;7$$"1o_`AT.-R!#;$!1)R%Rn(=6F'!#;7$7$$"1&HJ!=V"G*R!#;$!1,++++](='!#;7$$"1o_`AT.-R!#;$!1)R%Rn(=6F'!#;7$7$$"1&HJ!=V"G*R!#;$!1,++++](='!#;7$$"2d]w=;N4G%!#<$!03K!RV,#z&!#:7$7$$"28#=sZLJ3Y!#<$!1.++++++b!#;7$$"2d]w=;N4G%!#<$!03K!RV,#z&!#:7$7$$"1@=sZLJ3Y!#;$!1-++++++b!#;7$$"1P)f80B=s%!#;$!17zCyE+Z`!#;7$7$$""&!""$!1TUU-///^!#;7$$"1P)f80B=s%!#;$!17zCyE+Z`!#;7$7$$""&!""$"1VUU-///^!#;7$$"1E=sZLJ3Y!#;$"1(************\&!#;7$7$$"1D=sZLJ3Y!#;$"1(************\&!#;7$$"1i!>@gT8F%!#;$"18X$)=@w+f!#;7$7$$"2')HJ!=V"G*R!#<$"1(*********\(='!#;7$$"1i!>@gT8F%!#;$"18X$)=@w+f!#;7$7$$"2')HJ!=V"G*R!#<$"1(*********\(='!#;7$$"$v$!"$$"1apK&Q7d['!#;7$7$$""&!""$!1TUU-///^!#;7$$"1Vw2>rJt^!#;$!10F\:W#y!\!#;7$7$$"1H1o;q6$H&!#;$!1-++++]7[!#;7$$"1Vw2>rJt^!#;$!10F\:W#y!\!#;7$7$$"1H1o;q6$H&!#;$!1-++++]7[!#;7$$"1m:)z>FJg&!#;$!1j)*))e*>nX%!#;7$7$$"/37f[h8g!#9$!1-+++++DT!#;7$$"1m:)z>FJg&!#;$!1j)*))e*>nX%!#;7$7$$"1*z?"f[h8g!#;$!1-+++++DT!#;7$$"1M$RZSr")3'!#;$!2cj1EF%*f.%!#<7$7$$"$D'!"$$!1Q$zCUU#**Q!#;7$$"1M$RZSr")3'!#;$!2cj1EF%*f.%!#<7$7$$"$D'!"$$"1R$zCUU#**Q!#;7$$"1137f[h8g!#;$"2w**********\7%!#<7$7$$"1137f[h8g!#;$"2w**********\7%!#<7$$"0ii'ej1Jd!#:$"1cbt-NT5W!#;7$7$$"1L1o;q6$H&!#;$"2t*********\7[!#<7$$"0ii'ej1Jd!#:$"1cbt-NT5W!#;7$7$$"1L1o;q6$H&!#;$"2t*********\7[!#<7$$""&!""$"1VUU-///^!#;7$7$$"$D'!"$$!1Q$zCUU#**Q!#;7$$"1n()[Z#>?`'!#;$!1C)=he5Ef$!#;7$7$$"1[4N=1[An!#;$!1-++++]PM!#;7$$"1n()[Z#>?`'!#;$!1C)=he5Ef$!#;7$7$$"1[4N=1[An!#;$!1-++++]PM!#;7$$"07W%z?inp!#:$!1pUpV@pWJ!#;7$7$$"1oBr#erVS(!#;$!1.+++++]F!#;7$$"07W%z?inp!#:$!1pUpV@pWJ!#;7$7$$"1oBr#erVS(!#;$!2C++++++v#!#<7$$"1l*y=(HUJu!#;$!1LM`MEG7F!#;7$7$$"#v!"#$!2k3!e')))))QE!#<7$$"1l*y=(HUJu!#;$!1LM`MEG7F!#;7$7$$"#v!"#$"2k3!e')))))QE!#<7$$"0P7FerVS(!#:$"1)***********\F!#;7$7$$"0P7FerVS(!#:$"1)***********\F!#;7$$"11y#>!)ffI(!#;$"2bqR*3@scG!#<7$7$$"1a4N=1[An!#;$"1)*********\PM!#;7$$"11y#>!)ffI(!#;$"2bqR*3@scG!#<7$7$$"1`4N=1[An!#;$"1)*********\PM!#;7$$"$D'!"$$"2(Q$zCUU#**Q!#<7$7$$"#v!"#$!2k3!e')))))QE!#<7$$"1V4`kgw0y!#;$!2;-#\N8nIA!#<7$7$$"1bXwW$fN'z!#;$!1-++++]i?!#;7$$"1V4`kgw0y!#;$!2;-#\N8nIA!#<7$7$$"1bXwW$fN'z!#;$!1-++++]i?!#;7$$"1d]31+Q_")!#;$!1%yYL+4Qt"!#;7$7$$"13SH+KA1%)!#;$!2B+++++]P"!#<7$$"1d]31+Q_")!#;$!1%yYL+4Qt"!#;7$7$$"12SH+KA1%)!#;$!2B+++++]P"!#<7$$"1&)oU_caj%)!#;$!2'*yM)3,X<7!#<7$7$$"0"*o]Feip)!#:$!1B+++++vo!#<7$$"1&)oU_caj%)!#;$!2'*yM)3,X<7!#<7$7$$"0"*o]Feip)!#:$!1B+++++vo!#<7$$"1e)*zKts*p)!#;$!1R#*RI.])f'!#<7$7$$"$v)!"$$!1f]$\1jM?$!#<7$$"1e)*zKts*p)!#;$!1R#*RI.])f'!#<7$7$$"$v)!"$$"1O]$\1jM?$!#<7$$"0"*o]Feip)!#:$"1y*********\(o!#<7$7$$"0"*o]Feip)!#:$"1y*********\(o!#<7$$"1*y\AhGAo)!#;$"1JhiKEuZs!#<7$7$$"16SH+KA1%)!#;$"1)**********\P"!#;7$$"1*y\AhGAo)!#;$"1JhiKEuZs!#<7$7$$"16SH+KA1%)!#;$"1)**********\P"!#;7$$"1:ITEE>M#)!#;$"2%RGZbSpe;!#<7$7$$"1fXwW$fN'z!#;$"2#)*********\i?!#<7$$"1:ITEE>M#)!#;$"2%RGZbSpe;!#<7$7$$"1fXwW$fN'z!#;$"1)*********\i?!#;7$$"#v!"#$"2k3!e')))))QE!#<7$7$$"$v)!"$$!1f]$\1jM?$!#<7$$"1Jw.fB/)y)!#;$!2o"*pquHB4#!#>7$7$$"1LLL466"z)!#;$!18.D\gW?A!#J7$$"1Jw.fB/)y)!#;$!2o"*pquHB4#!#>7$7$$"1LLL466"z)!#;$!18.D\gW?A!#J7$$"$v)!"$$"1O]$\1jM?$!#<-%&COLORG6&%$RGBG$"#5!""$"1Ey<hzg>I!#;$""!!""-%*THICKNESSG6#""#-%'CURVESG6gq7$7$$!#?!""$!17aD6s-$>(!#;7$$!2EN')[%pt`>!#;$!1h]7.oWHr!#;7$7$$!%v=!"$$!1EEEYD:&)p!#;7$$!2EN')[%pt`>!#;$!1h]7.oWHr!#;7$7$$!#?!""$"17aD6s-$>(!#;7$$!20t+Tm0B!>!#;$"1:Sb_6=Dq!#;7$7$$!%v=!"$$"1EEEYD:&)p!#;7$$!20t+Tm0B!>!#;$"1:Sb_6=Dq!#;7$7$$!%v=!"$$!1EEEYD:&)p!#;7$$!2sZkp"\ke=!#;$!1w`pcH&\'p!#;7$7$$!2D)>)f3Hi!=!#;$!%vo!"%7$$!2sZkp"\ke=!#;$!1w`pcH&\'p!#;7$7$$!2F)>)f3Hi!=!#;$!1,+++++vo!#;7$$!2&\`>Z=pj<!#;$!0eD/%[p*z'!#:7$7$$!$v"!"#$!1(y'*oPX$on!#;7$$!2&\`>Z=pj<!#;$!0eD/%[p*z'!#:7$7$$!$v"!"#$"1(y'*oPX$on!#;7$$!2.)>)f3Hi!=!#;$"1)**********\(o!#;7$7$$!0)>)f3Hi!=!#9$"1(**********\(o!#;7$$!%v=!"$$"1EEEYD:&)p!#;7$7$$!$v"!"#$!1(y'*oPX$on!#;7$$!1ztSj#f%o;!#:$!1;%f70ufj'!#;7$7$$!%D;!"$$!0:)e1(4;a'!#:7$$!1ztSj#f%o;!#:$!1;%f70ufj'!#;7$7$$!$v"!"#$"1(y'*oPX$on!#;7$$!0RTED&Q><!#9$"1Uw_*))=mq'!#;7$7$$!%D;!"$$"1[")e1(4;a'!#;7$$!0RTED&Q><!#9$"1Uw_*))=mq'!#;7$7$$!%D;!"$$!1[")e1(4;a'!#;7$$!2"*HQW(o2u:!#;$!1c$*e!>xvY'!#;7$7$$!#:!""$!1(>)=mr&pJ'!#;7$$!2"*HQW(o2u:!#;$!1c$*e!>xvY'!#;7$7$$!%D;!"$$"1[")e1(4;a'!#;7$$!21;YCQ#)H`"!#;$"1")QX.J!*oj!#;7$7$$!#:!""$"1(>)=mr&pJ'!#;7$$!21;YCQ#)H`"!#;$"1")QX.J!*oj!#;7$7$$!#:!""$!1(>)=mr&pJ'!#;7$$!1c!***Q"Q3["!#:$!1%>0bB!*GH'!#;7$7$$!1Q$*HuX[C9!#:$!1,++++](='!#;7$$!1c!***Q"Q3["!#:$!1%>0bB!*GH'!#;7$7$$!1Q$*HuX[C9!#:$!1,++++](='!#;7$$!2*>:uS[y(Q"!#;$!1U;#fP$=<h!#;7$7$$!%v8!"$$!1YduQ$oS3'!#;7$$!2*>:uS[y(Q"!#;$!1U;#fP$=<h!#;7$7$$!%v8!"$$"1YduQ$oS3'!#;7$$!2dL*HuX[C9!#;$"1(*********\(='!#;7$7$$!2dL*HuX[C9!#;$"1(*********\(='!#;7$$!#:!""$"1(>)=mr&pJ'!#;7$7$$!%v8!"$$!1XduQ$oS3'!#;7$$!2kQ1ej$*QH"!#;$!1w[1.]3Yf!#;7$7$$!$D"!"#$!1x)GeP,)Re!#;7$$!2kQ1ej$*QH"!#;$!1w[1.]3Yf!#;7$7$$!%v8!"$$"1YduQ$oS3'!#;7$$!2'pxni]kV8!#;$"0tFZ%y/:g!#:7$7$$!$D"!"#$"1x)GeP,)Re!#;7$$!2'pxni]kV8!#;$"0tFZ%y/:g!#:7$7$$!$D"!"#$!1x)GeP,)Re!#;7$$!230%\ID1,7!#;$!1@FG#3c"pd!#;7$7$$!%D6!"$$!1yO2s0n+c!#;7$$!230%\ID1,7!#;$!1@FG#3c"pd!#;7$7$$!$D"!"#$"1x)GeP,)Re!#;7$$!2*HU6V$R3:"!#;$"1i#GrQ;@k&!#;7$7$$!%D6!"$$"1yO2s0n+c!#;7$$!2*HU6V$R3:"!#;$"1i#GrQ;@k&!#;7$7$$!%D6!"$$!1yO2s0n+c!#;7$$!2'=uz%y7)46!#;$!1*>9OoHNe&!#;7$7$$!2YAt-0Nr1"!#;$!1-++++++b!#;7$$!2'=uz%y7)46!#;$!1*>9OoHNe&!#;7$7$$!2YAt-0Nr1"!#;$!1-++++++b!#;7$$!1Gu()>jr<5!#:$!1[TnS-c-a!#;7$7$$!#5!""$!1777_A3^`!#;7$$!1Gu()>jr<5!#:$!1[TnS-c-a!#;7$7$$!#5!""$"1877_A3^`!#;7$$!2CAt-0Nr1"!#;$"1(************\&!#;7$7$$!2CAt-0Nr1"!#;$"1(************\&!#;7$$!%D6!"$$"1xO2s0n+c!#;7$7$$!#5!""$!1777_A3^`!#;7$$!1'*\CvisU#*!#;$!1b_h[0+H_!#;7$7$$!$v)!"$$!1(\NyD0&*4&!#;7$$!1'*\CvisU#*!#;$!1b_h[0+H_!#;7$7$$!#5!""$"1877_A3^`!#;7$$!16(Gv6(oM&*!#;$"1)ySY"z2W_!#;7$7$$!$v)!"$$"1)\NyD0&*4&!#;7$$!16(Gv6(oM&*!#;$"1)ySY"z2W_!#;7$7$$!$v)!"$$!1)\NyD0&*4&!#;7$$!1&Rvz4*R=$)!#;$!1NN6'\!))\]!#;7$7$$!#v!"#$!2jkkkOz]'[!#<7$$!1&Rvz4*R=$)!#;$!1NN6'\!))\]!#;7$7$$!$v)!"$$"1)\NyD0&*4&!#;7$$!1DC7)oNki(!#;$"1JtYG'R?)[!#;7$7$$!#v!"#$"2jkkkOz]'[!#<7$$!1DC7)oNki(!#;$"1JtYG'R?)[!#;7$7$$!#v!"#$!1ZYYm$z]'[!#;7$$!1#)yyy=&GT(!#;$!1nmmm9Vg[!#;7$7$$!1sTbzOQPr!#;$!1-++++]7[!#;7$$!1#)yyy=&GT(!#;$!1nmmm9Vg[!#;7$7$$!1sTbzOQPr!#;$!1-++++]7[!#;7$$!1(R0/*o(pX'!#;$!2M.x-ri')p%!#<7$7$$!$D'!"$$!1T(e7mSVj%!#;7$$!1(R0/*o(pX'!#;$!2M.x-ri')p%!#<7$7$$!$D'!"$$"1T(e7mSVj%!#;7$$!1YTbzOQPr!#;$"2t*********\7[!#<7$7$$!1YTbzOQPr!#;$"2t*********\7[!#<7$$!#v!"#$"2jkkkOz]'[!#<7$7$$!$D'!"$$!1T(e7mSVj%!#;7$$!1:B3V9w_a!#;$!1HZI17[jX!#;7$7$$!"&!""$!1y;KyS#4X%!#;7$$!1:B3V9w_a!#;$!1HZI17[jX!#;7$7$$!$D'!"$$"1T(e7mSVj%!#;7$$!1c'f0R&fUd!#;$"13y![YFM`%!#;7$7$$!"&!""$"2'y;KyS#4X%!#<7$$!1c'f0R&fUd!#;$"13y![YFM`%!#;7$7$$!"&!""$!2'y;KyS#4X%!#<7$$!2twMH]:ZP%!#<$!2(zeQtk!*oW!#<7$7$$!$v$!"$$!2m!o_1+LyV!#<7$$!2twMH]:ZP%!#<$!2(zeQtk!*oW!#<7$7$$!"&!""$"2'y;KyS#4X%!#<7$$!1,LK;2e!=%!#;$"2F"y(RR>=O%!#<7$7$$!$v$!"$$"12o_1+LyV!#;7$$!1,LK;2e!=%!#;$"2F"y(RR>=O%!#<7$7$$!$v$!"$$!12o_1+LyV!#;7$$!1afYI@%4(H!#;$!2nsV#G=[`X!#<7$7$$!#D!"#$!17ue7Az#e%!#;7$$!1afYI@%4(H!#;$!2nsV#G=[`X!#<7$7$$!$v$!"$$"12o_1+LyV!#;7$$!14I8rY(f,$!#;$"2B:B"pgy3W!#<7$7$$!#D!"#$"18ue7Az#e%!#;7$$!14I8rY(f,$!#;$"2B:B"pgy3W!#<7$7$$!$D"!"$$!1wM0qJa@d!#;7$$!2Z@#*Q0Z]S"!#<$!1-++++++b!#;7$7$$!2W@#*Q0Z]S"!#<$!1-++++++b!#;7$$!2hr>$=RTL<!#<$!1dT#\MATB&!#;7$7$$!2)\4;3onF@!#<$!1-++++]7[!#;7$$!2hr>$=RTL<!#<$!1dT#\MATB&!#;7$7$$!2)\4;3onF@!#<$!1-++++]7[!#;7$$!#D!"#$!17ue7Az#e%!#;7$7$$!#D!"#$"18ue7Az#e%!#;7$$!1k&>^%zYUA!#;$"2uv:)pt&3n%!#<7$7$$!1c4;3onF@!#;$"2t*********\7[!#<7$$!1k&>^%zYUA!#;$"2uv:)pt&3n%!#<7$7$$!1c4;3onF@!#;$"2t*********\7[!#<7$$!0F?6AZEo"!#:$"1YhhrfX]]!#;7$7$$!1=A*Q0Z]S"!#;$"1(************\&!#;7$$!0F?6AZEo"!#:$"1YhhrfX]]!#;7$7$$!2x@#*Q0Z]S"!#<$"1(************\&!#;7$$!2d>*)eN0wL"!#<$"1b!Rd%H=[b!#;7$7$$!$D"!"$$"1wM0qJa@d!#;7$$!2d>*)eN0wL"!#<$"1b!Rd%H=[b!#;7$7$$!2/(okIx.^J!#=$!#6!""7$$!1U3B3TK)f$!#<$!2/t/u@4-3"!#;7$7$$!1U3B3TK)f$!#<$!'DJ5!"&7$$!1U3B3TK)f$!#<$!2/t/u@4-3"!#;7$7$$!1T3B3TK)f$!#<$!'DJ5!"&7$$!2'\V_CbJ\T!#=$!1;^hk(G%35!#:7$7$$!2'\V_CbJ\T!#=$!%D'*!"%7$$!2'\V_CbJ\T!#=$!1;^hk(G%35!#:7$7$$!1[V_CbJ\T!#<$!1,+++++D'*!#;7$$!1\c^KR@R[!#<$!0k6PBV)e$*!#:7$7$$!1\c^KR@R[!#<$!&v$*)!"&7$$!1\c^KR@R[!#<$!0k6PBV)e$*!#:7$7$$!0l:D$R@R[!#;$!&v$*)!"&7$$!1HGaCby>d!#<$!1Y,:'z6Hi)!#;7$7$$!1HGaCby>d!#<$!1-+++++]#)!#;7$$!1HGaCby>d!#<$!1Y,:'z6Hi)!#;7$7$$!1GGaCby>d!#<$!1,+++++]#)!#;7$$!1l1>@(e)po!#<$!19XLqx:sy!#;7$7$$!1l1>@(e)po!#<$!1,++++]iv!#;7$$!1l1>@(e)po!#<$!19XLqx:sy!#;7$7$$!1k1>@(e)po!#<$!1,++++]iv!#;7$$!1K(4`+lYT)!#<$!1mzqCMp*4(!#;7$7$$!1K(4`+lYT)!#<$!1,+++++vo!#;7$$!1K(4`+lYT)!#<$!1mzqCMp*4(!#;7$7$$!1K(4`+lYT)!#<$!1,+++++vo!#;7$$!2ANEGc!Rc5!#<$!12bW!>&)RH'!#;7$7$$!2ANEGc!Rc5!#<$!1,++++](='!#;7$$!2ANEGc!Rc5!#<$!12bW!>&)RH'!#;7$7$$!1_j#Gc!Rc5!#;$!1,++++](='!#;7$$!$D"!"$$!1wM0qJa@d!#;7$7$$!$D"!"$$"1wM0qJa@d!#;7$$!2QNEGc!Rc5!#<$"1#\a&4[,"3'!#;7$7$$!2QNEGc!Rc5!#<$"1(*********\(='!#;7$$!2QNEGc!Rc5!#<$"1#\a&4[,"3'!#;7$7$$!2PNEGc!Rc5!#<$"1(*********\(='!#;7$$!1V(4`+lYT)!#<$"1L?HvlI]m!#;7$7$$!1V(4`+lYT)!#<$"1(**********\(o!#;7$$!1V(4`+lYT)!#<$"1L?HvlI]m!#;7$7$$!1V(4`+lYT)!#<$"1(**********\(o!#;7$$!1t1>@(e)po!#<$"1%[l'HA%GD(!#;7$7$$!1t1>@(e)po!#<$"1'*********\iv!#;7$$!1t1>@(e)po!#<$"1%[l'HA%GD(!#;7$7$$!1s1>@(e)po!#<$"1'*********\iv!#;7$$!1OGaCby>d!#<$"1^)\Q?)3xy!#;7$7$$!1OGaCby>d!#<$"1'***********\#)!#;7$$!1OGaCby>d!#<$"1^)\Q?)3xy!#;7$7$$!1NGaCby>d!#<$"1'***********\#)!#;7$$!1bc^KR@R[!#<$"1c$)Gmn:;&)!#;7$7$$!1bc^KR@R[!#<$"1'*********\P*)!#;7$$!1bc^KR@R[!#<$"1c$)Gmn:;&)!#;7$7$$!1ac^KR@R[!#<$"1'*********\P*)!#;7$$!1aV_CbJ\T!#<$"1O)[QN7d;*!#;7$7$$!1aV_CbJ\T!#<$"1'**********\i*!#;7$$!1aV_CbJ\T!#<$"1O)[QN7d;*!#;7$7$$!2CNCX_:$\T!#=$"1'**********\i*!#;7$$!1X3B3TK)f$!#<$"1"p_f#y!H#)*!#;7$7$$!1X3B3TK)f$!#<$"2'*********\7."!#;7$$!1X3B3TK)f$!#<$"1"p_f#y!H#)*!#;7$7$$!1X3B3TK)f$!#<$"2'*********\7."!#;7$$!1uokIx.^J!#<$"2ub=vq!e[5!#;7$7$$!1uokIx.^J!#<$"2'*************4"!#;7$$!1uokIx.^J!#<$"2ub=vq!e[5!#;-%&COLORG6&%$RGBG$"#5!""$"0)e**pS!)4D!#:$""!!""-%*THICKNESSG6#""#-%'CURVESG6io7$7$$!#?!""$!1tb.ZP$R&z!#;7$$!2V9`z0W*Q>!#;$!11xD"o2$)*y!#;7$7$$!%v=!"$$!1$\95P?F"y!#;7$$!2V9`z0W*Q>!#;$!11xD"o2$)*y!#;7$7$$!#?!""$"1tb.ZP$R&z!#;7$$!2kh0IIe-$>!#;$"1()3`m1Umy!#;7$7$$!%v=!"$$"1#\95P?F"y!#;7$$!2kh0IIe-$>!#;$"1()3`m1Umy!#;7$7$$!%v=!"$$!1#\95P?F"y!#;7$$!1p(3t3N]$=!#:$!1r<!)>qI#y(!#;7$7$$!$v"!"#$!1>,\#Hm&zw!#;7$$!1p(3t3N]$=!#:$!1r<!)>qI#y(!#;7$7$$!%v=!"$$"1#\95P?F"y!#;7$$!1Oka"Q*)\x"!#:$"1&R0&)fT**p(!#;7$7$$!$v"!"#$"1>,\#Hm&zw!#;7$$!1Oka"Q*)\x"!#:$"1&R0&)fT**p(!#;7$7$$!$v"!"#$!1>,\#Hm&zw!#;7$$!2'oK]0dxI<!#;$!1B?t>OBow!#;7$7$$!23:%o@4$3j"!#;$!1,++++]iv!#;7$$!2'oK]0dxI<!#;$!1B?t>OBow!#;7$7$$!23:%o@4$3j"!#;$!1,++++]iv!#;7$$!1jq?@S&fi"!#:$!1b6O$)GDdv!#;7$7$$!%D;!"$$!1ey!)eQubv!#;7$$!1jq?@S&fi"!#:$!1b6O$)GDdv!#;7$7$$!2)***********\i"!#;$"1ey!)eQubv!#;7$$!2m9%o@4$3j"!#;$"1'*********\iv!#;7$7$$!2m9%o@4$3j"!#;$"1'*********\iv!#;7$$!$v"!"#$"1>,\#Hm&zw!#;7$7$$!%D;!"$$!1ey!)eQubv!#;7$$!182U>_]=:!#:$!1"3'=$H@2Y(!#;7$7$$!#:!""$!1A!)3B?NMu!#;7$$!182U>_]=:!#:$!1"3'=$H@2Y(!#;7$7$$!%D;!"$$"1ey!)eQubv!#;7$$!2i"H"Q\&QB;!#;$"1O5(f@?Ob(!#;7$7$$!#:!""$"1C!)3B?NMu!#;7$$!2i"H"Q\&QB;!#;$"1O5(f@?Ob(!#;7$7$$!#:!""$!1B!)3B?NMu!#;7$$!1XxB26Y49!#:$!1/C>5R'HP(!#;7$7$$!%v8!"$$!1m">$HNCIt!#;7$$!1XxB26Y49!#:$!1/C>5R'HP(!#;7$7$$!#:!""$"1B!)3B?NMu!#;7$$!2h+"HbFjq9!#;$"1H05a,)4S(!#;7$7$$!%v8!"$$"1m">$HNCIt!#;7$$!2h+"HbFjq9!#;$"1H05a,)4S(!#;7$7$$!%v8!"$$!1n">$HNCIt!#;7$$!1a)R+[j")H"!#:$!1/3yf3g(H(!#;7$7$$!$D"!"#$!0e'3!Q.'[s!#:7$$!1a)R+[j")H"!#:$!1/3yf3g(H(!#;7$7$$!%v8!"$$"1m">$HNCIt!#;7$$!1W(=UTNUK"!#:$"1*3.#yZH$G(!#;7$7$$!$D"!"#$"0e'3!Q.'[s!#:7$$!1W(=UTNUK"!#:$"1*3.#yZH$G(!#;7$7$$!$D"!"#$!0e'3!Q.'[s!#:7$$!2x9scIMN="!#;$!1*=.)=8cSs!#;7$7$$!%D6!"$$!1C!pN-@p>(!#;7$$!2x9scIMN="!#;$!1*=.)=8cSs!#;7$7$$!$D"!"#$"0e'3!Q.'[s!#:7$$!1AY*>l(*\="!#:$"1</(f3()\?(!#;7$7$$!%D6!"$$"1B!pN-@p>(!#;7$$!1AY*>l(*\="!#:$"1</(f3()\?(!#;7$7$$!%D6!"$$!1B!pN-@p>(!#;7$$!2l5gg\xO1"!#;$!1:%p;xtA@(!#;7$7$$!#5!""$!1KY.K1V'=(!#;7$$!2l5gg\xO1"!#;$!1:%p;xtA@(!#;7$7$$!%D6!"$$"1C!pN-@p>(!#;7$$!2[(*\4IlQ0"!#;$"1e[Ab"f7<(!#;7$7$$!#5!""$"1LY.K1V'=(!#;7$$!2[(*\4IlQ0"!#;$"1e[Ab"f7<(!#;7$7$$!#5!""$!1KY.K1V'=(!#;7$$!1'H2Ij7#\$*!#;$!1*)f%=0LHB(!#;7$7$$!$v)!"$$!10>w/fyMs!#;7$$!1'H2Ij7#\$*!#;$!1*)f%=0LHB(!#;7$7$$!#5!""$"1LY.K1V'=(!#;7$$!1kf^&p%e>$*!#;$"1wP`#er#)=(!#;7$7$$!$v)!"$$"10>w/fyMs!#;7$$!1kf^&p%e>$*!#;$"1wP`#er#)=(!#;7$7$$!$v)!"$$!10>w/fyMs!#;7$$!0))4ZqR5*y!#:$!1o&4C;GuM(!#;7$7$$!#v!"#$!1u;)Qn49P(!#;7$$!0))4ZqR5*y!#:$!1o&4C;GuM(!#;7$7$$!$v)!"$$"10>w/fyMs!#;7$$!1#Gq:?Oh?)!#;$"1^O'3"\Pjs!#;7$7$$!#v!"#$"1u;)Qn49P(!#;7$$!1#Gq:?Oh?)!#;$"1^O'3"\Pjs!#;7$7$$!$D'!"$$!1VkHD%=<k(!#;7$$!1M'4dlIJf'!#;$!1,++++]iv!#;7$7$$!1N'4dlIJf'!#;$!1,++++]iv!#;7$$!#v!"#$!1v;)Qn49P(!#;7$7$$!#v!"#$"1u;)Qn49P(!#;7$$!1WT%fc%Q9s!#;$"1w#p7^6aS(!#;7$7$$!1b'4dlIJf'!#;$"1'*********\iv!#;7$$!1WT%fc%Q9s!#;$"1w#p7^6aS(!#;7$7$$!1a'4dlIJf'!#;$"1'*********\iv!#;7$$!1w-u&eA*Qj!#;$"1\r:AuS6w!#;7$7$$!$D'!"$$"1VkHD%=<k(!#;7$$!1w-u&eA*Qj!#;$"1\r:AuS6w!#;7$7$$!$D'!"$$!1VkHD%=<k(!#;7$$!1%eqXV'*pq&!#;$!1zh)4'>:hy!#;7$7$$!"&!""$!1R<_c42@")!#;7$$!1%eqXV'*pq&!#;$!1zh)4'>:hy!#;7$7$$!1************\i!#;$"1VkHD%=<k(!#;7$$!1d^"ps"QHb!#;$"1LL!)\*fO&y!#;7$7$$!"&!""$"1R<_c42@")!#;7$$!1d^"ps"QHb!#;$"1LL!)\*fO&y!#;7$7$$!$v$!"$$!1(\QF;$*Q)*)!#;7$$!2(46[Wbn0Q!#<$!&v$*)!"&7$7$$!2(46[Wbn0Q!#<$!&v$*)!"&7$$!2n)RZ`qt]S!#<$!13$*e?Y4s()!#;7$7$$!1U2b(y-$zZ!#;$!1,+++++]#)!#;7$$!2n)RZ`qt]S!#<$!13$*e?Y4s()!#;7$7$$!2Fu]vy-$zZ!#<$!1,+++++]#)!#;7$$!"&!""$!1R<_c42@")!#;7$7$$!"&!""$"1R<_c42@")!#;7$$!1LyA[Fkq[!#;$"1/`_6N&)y")!#;7$7$$!2/v]vy-$zZ!#<$"1'***********\#)!#;7$$!1LyA[Fkq[!#;$"1/`_6N&)y")!#;7$7$$!0v]vy-$zZ!#:$"1'***********\#)!#;7$$!1_3K,TreU!#;$"1kksbFzH&)!#;7$7$$!196[Wbn0Q!#;$"1&*********\P*)!#;7$$!1_3K,TreU!#;$"1kksbFzH&)!#;7$7$$!196[Wbn0Q!#;$"1'*********\P*)!#;7$$!1dj!yr8'zP!#;$"1#\$zWvy`*)!#;7$7$$!$v$!"$$"1&\QF;$*Q)*)!#;7$$!1dj!yr8'zP!#;$"1#\$zWvy`*)!#;7$7$$!#D!"#$!1GW*ezfQ1"!#:7$$!1$G`Xt;:p#!#;$!'DJ5!"&7$7$$!1$G`Xt;:p#!#;$!'DJ5!"&7$$!2t(*3q]*G]G!#<$!2j]9r2%)>,"!#;7$7$$!2bGz[bX0<$!#<$!1,+++++D'*!#;7$$!2t(*3q]*G]G!#<$!2j]9r2%)>,"!#;7$7$$!2bGz[bX0<$!#<$!1,+++++D'*!#;7$$!$v$!"$$!1(\QF;$*Q)*)!#;7$7$$!$v$!"$$"1&\QF;$*Q)*)!#;7$$!2%y/>W+y9L!#<$"1fZIC!HcQ*!#;7$7$$!2%*Gz[bX0<$!#<$"1&**********\i*!#;7$$!2%y/>W+y9L!#<$"1fZIC!HcQ*!#;7$7$$!2%*Gz[bX0<$!#<$"1&**********\i*!#;7$$!2M")p4pTr$H!#<$"1%RL+$zUl)*!#;7$7$$!2`G`Xt;:p#!#<$"2'*********\7."!#;7$$!2M")p4pTr$H!#<$"1%RL+$zUl)*!#;7$7$$!2`G`Xt;:p#!#<$"2'*********\7."!#;7$$!2NW(*=64!HE!#<$"1fV:,bMQ5!#:7$7$$!#D!"#$"1GW*ezfQ1"!#:7$$!2NW(*=64!HE!#<$"1fV:,bMQ5!#:7$7$$!2nN<lE%\FB!#<$!#6!""7$$!#D!"#$!1GW*ezfQ1"!#:7$7$$!#D!"#$"1GW*ezfQ1"!#:7$$!2a5U2j5vM#!#<$"2a"3p%38;4"!#;7$7$$!2(et^mU\FB!#<$"2'*************4"!#;7$$!2a5U2j5vM#!#<$"2a"3p%38;4"!#;-%&COLORG6&%$RGBG$"#5!""$"2CK-)H+++?!#<$""!!""-%*THICKNESSG6#""#-%'CURVESG6gn7$7$$!#?!""$!1"==yB&4[')!#;7$$!2DDFC;*eL>!#;$!16,l1'f_h)!#;7$7$$!%v=!"$$!1==eWt(Gc)!#;7$$!2DDFC;*eL>!#;$!16,l1'f_h)!#;7$7$$!#?!""$"1#==yB&4[')!#;7$$!2P")>`>?z$>!#;$"0(*eU2hgf)!#:7$7$$!%v=!"$$"1==eWt(Gc)!#;7$$!2P")>`>?z$>!#;$"0(*eU2hgf)!#:7$7$$!%v=!"$$!1==eWt(Gc)!#;7$$!2k^z#)*\O@=!#;$!1hEY4D*\a)!#;7$7$$!$v"!"#$!1G9d#\f9\)!#;7$$!2k^z#)*\O@=!#;$!1hEY4D*\a)!#;7$7$$!%v=!"$$"1==eWt(Gc)!#;7$$!2&Gk`U;&pz"!#;$"1`.&R.M#3&)!#;7$7$$!$v"!"#$"1H9d#\f9\)!#;7$$!2&Gk`U;&pz"!#;$"1`.&R.M#3&)!#;7$7$$!$v"!"#$!1G9d#\f9\)!#;7$$!2a&*\p()fsq"!#;$!1Y_xw12&[)!#;7$7$$!%D;!"$$!1:`o1j-P%)!#;7$$!2a&*\p()fsq"!#;$!1Y_xw12&[)!#;7$7$$!$v"!"#$"1G9d#\f9\)!#;7$$!0Tb_2I+m"!#9$"1^Z!RTlEW)!#;7$7$$!%D;!"$$"1:`o1j-P%)!#;7$$!0Tb_2I+m"!#9$"1^Z!RTlEW)!#;7$7$$!%D;!"$$!1:`o1j-P%)!#;7$$!2D!>HxCg!f"!#;$!1OX*[P'=R%)!#;7$7$$!#:!""$!1WXX`R#QS)!#;7$$!2D!>HxCg!f"!#;$!1OX*[P'=R%)!#;7$7$$!2-+++++]i"!#;$"1;`o1j-P%)!#;7$$!2A:q!yiiF:!#;$"1MeQHX%>S)!#;7$7$$!#:!""$"1YXX`R#QS)!#;7$$!2A:q!yiiF:!#;$"1MeQHX%>S)!#;7$7$$!#:!""$!1YXX`R#QS)!#;7$$!0HBt()e.Z"!#9$!11>suh-8%)!#;7$7$$!%v8!"$$!1Up'*fEk(R)!#;7$$!0HBt()e.Z"!#9$!11>suh-8%)!#;7$7$$!#:!""$"1YXX`R#QS)!#;7$$!1Ao'H+(G+9!#:$"1<vJ;&y!*Q)!#;7$7$$!%v8!"$$"1Up'*fEk(R)!#;7$$!1Ao'H+(G+9!#:$"1<vJ;&y!*Q)!#;7$7$$!%v8!"$$!1Up'*fEk(R)!#;7$$!2XJM4_\[M"!#;$!0Fh[jFeT)!#:7$7$$!$D"!"#$!1ba9W()eE%)!#;7$$!2XJM4_\[M"!#;$!0Fh[jFeT)!#:7$7$$!%v8!"$$"1Up'*fEk(R)!#;7$$!2WS$RO4ly7!#;$"0sj,:!e2%)!#:7$7$$!$D"!"#$"1ba9W()eE%)!#;7$$!2WS$RO4ly7!#;$"0sj,:!e2%)!#:7$7$$!$D"!"#$!1ba9W()eE%)!#;7$$!1#z1-._6@"!#:$!1YE'Q$Qmj%)!#;7$7$$!%D6!"$$!1(yy=LrB])!#;7$$!1#z1-._6@"!#:$!1YE'Q$Qmj%)!#;7$7$$!$D"!"#$"1ba9W()eE%)!#;7$$!1&Gf-()oM;"!#:$"1kgU'yy:Y)!#;7$7$$!%D6!"$$"1(yy=LrB])!#;7$$!1&Gf-()oM;"!#:$"1kgU'yy:Y)!#;7$7$$!%D6!"$$!1(yy=LrB])!#;7$$!2(y<,52pj5!#;$!1<_$\4,se)!#;7$7$$!#5!""$!+7TbU')!#57$$!2(y<,52pj5!#;$!1<_$\4,se)!#;7$7$$!%D6!"$$"1(yy=LrB])!#;7$$!2$RpWF%Hc0"!#;$"1j"e4&='fb)!#;7$7$$!#5!""$"+7TbU')!#57$$!2$RpWF%Hc0"!#;$"1j"e4&='fb)!#;7$7$$!#5!""$!+7TbU')!#57$$!1A$*==0T.*)!#;$!1te*\@CJ&))!#;7$7$$!$v)!"$$!1R5'p;PZ())!#;7$$!1A$*==0T.*)!#;$!1te*\@CJ&))!#;7$7$$!#5!""$"+7TbU')!#57$$!1&4B:7A>c*!#;$"1)pPo;dlp)!#;7$7$$!$v)!"$$"1R5'p;PZ())!#;7$$!1&4B:7A>c*!#;$"1)pPo;dlp)!#;7$7$$!#v!"#$!1ONNN([@A*!#;7$$!1eGBS8a4&)!#;$!&v$*)!"&7$7$$!1fGBS8a4&)!#;$!&v$*)!"&7$$!$v)!"$$!1R5'p;PZ())!#;7$7$$!$v)!"$$"1R5'p;PZ())!#;7$$!1tn#[65Vm)!#;$"1@Z:j0P!*))!#;7$7$$!1vGBS8a4&)!#;$"1'*********\P*)!#;7$$!1tn#[65Vm)!#;$"1@Z:j0P!*))!#;7$7$$!1vGBS8a4&)!#;$"1'*********\P*)!#;7$$!1ltwIk=3y!#;$"1\?#p`-q5*!#;7$7$$!#v!"#$"1NNNN([@A*!#;7$$!1ltwIk=3y!#;$"1\?#p`-q5*!#;7$7$$!$D'!"$$!1c,0c1Sf(*!#;7$$!1-dPJ]VPl!#;$!1***********\i*!#;7$7$$!1-dPJ]VPl!#;$!1***********\i*!#;7$$!#v!"#$!1ONNN([@A*!#;7$7$$!#v!"#$"1NNNN([@A*!#;7$$!0[F9*3dSq!#:$"13^G!*RJs$*!#;7$7$$!17dPJ]VPl!#;$"1'**********\i*!#;7$$!0[F9*3dSq!#:$"13^G!*RJs$*!#;7$7$$!18dPJ]VPl!#;$"1'**********\i*!#;7$$!1W'oBC$>pj!#;$"0v-LGc0p*!#:7$7$$!$D'!"$$"1d,0c1Sf(*!#;7$$!1W'oBC$>pj!#;$"0v-LGc0p*!#:7$7$$!"&!""$!1P96U)H$e5!#:7$$!171^6z!*o`!#;$!'DJ5!"&7$7$$!171^6z!*o`!#;$!'DJ5!"&7$$!$D'!"$$!1d,0c1Sf(*!#;7$7$$!$D'!"$$"1d,0c1Sf(*!#;7$$!1xCdT?*>t&!#;$"2e['Gi&fF+"!#;7$7$$!1=1^6z!*o`!#;$"2'*********\7."!#;7$$!1xCdT?*>t&!#;$"2e['Gi&fF+"!#;7$7$$!1=1^6z!*o`!#;$"2'*********\7."!#;7$$!14uw3Y\!>&!#;$"2s?#[.ssT5!#;7$7$$!"&!""$"2pV6@%)H$e5!#;7$$!14uw3Y\!>&!#;$"2s?#[.ssT5!#;7$7$$!2j(f#emK?b%!#<$!#6!""7$$!"&!""$!2pV6@%)H$e5!#;7$7$$!"&!""$"2pV6@%)H$e5!#;7$$!2<.xl@b'*o%!#<$"2it6p.JH3"!#;7$7$$!0)f#emK?b%!#:$"2'*************4"!#;7$$!2<.xl@b'*o%!#<$"2it6p.JH3"!#;-%&COLORG6&%$RGBG$"#5!""$"2mP?'Qh>!\"!#<$""!!""-%*THICKNESSG6#""#-%'CURVESG6S7$7$$!#?!""$!1::::RM!H*!#;7$$!2%>;gD*\r$>!#;$!1$4">4a<$G*!#;7$7$$!%v=!"$$!1_1ixe#GD*!#;7$$!2%>;gD*\r$>!#;$!1$4">4a<$G*!#;7$7$$!#?!""$"1::::RM!H*!#;7$$!28Pk$f)GO$>!#;$"1QS]E(e*f#*!#;7$7$$!%v=!"$$"1_1ixe#GD*!#;7$$!28Pk$f)GO$>!#;$"1QS]E(e*f#*!#;7$7$$!%v=!"$$!1^1ixe#GD*!#;7$$!2Fp<*=z0<=!#;$!0p_fW"=c#*!#:7$7$$!$v"!"#$!1VD\W")*RB*!#;7$$!2Fp<*=z0<=!#;$!0p_fW"=c#*!#:7$7$$!%v=!"$$"1_1ixe#GD*!#;7$$!2ZF1(etI.=!#;$"11X)GZ!pI#*!#;7$7$$!$v"!"#$"1XD\W")*RB*!#;7$$!2ZF1(etI.=!#;$"11X)GZ!pI#*!#;7$7$$!$v"!"#$!1XD\W")*RB*!#;7$$!1wBQgiZ$p"!#:$!1Kp*yc!Q[#*!#;7$7$$!%D;!"$$!1iq$H'Q<Q#*!#;7$$!1wBQgiZ$p"!#:$!1Kp*yc!Q[#*!#;7$7$$!$v"!"#$"1XD\W")*RB*!#;7$$!2PH!RaN2x;!#;$"18m9\X!RA*!#;7$7$$!%D;!"$$"1iq$H'Q<Q#*!#;7$$!2PH!RaN2x;!#;$"18m9\X!RA*!#;7$7$$!%D;!"$$!1iq$H'Q<Q#*!#;7$$!2rz?)=-4l:!#;$!1;c['z.qE*!#;7$7$$!#:!""$!1jt%e*Q5r#*!#;7$$!2rz?)=-4l:!#;$!1;c['z.qE*!#;7$7$$!%D;!"$$"1iq$H'Q<Q#*!#;7$$!2***p8TPSb:!#;$"1&\`id?AC*!#;7$7$$!#:!""$"1it%e*Q5r#*!#;7$$!2***p8TPSb:!#;$"1&\`id?AC*!#;7$7$$!#:!""$!1jt%e*Q5r#*!#;7$$!2l`[axH)H9!#;$!00L]BOMK*!#:7$7$$!%v8!"$$!1Qo)*G.jS$*!#;7$$!2l`[axH)H9!#;$!00L]BOMK*!#:7$7$$!#:!""$"1ht%e*Q5r#*!#;7$$!28&yQ+7&)Q9!#;$"1yJ8-;o)G*!#;7$7$$!%v8!"$$"1Ro)*G.jS$*!#;7$$!28&yQ+7&)Q9!#;$"1yJ8-;o)G*!#;7$7$$!%v8!"$$!1Oo)*G.jS$*!#;7$$!1N#4?HOUG"!#:$!13#\RR+nV*!#;7$7$$!$D"!"#$!1UUU#3KxX*!#;7$$!1N#4?HOUG"!#:$!13#\RR+nV*!#;7$7$$!%v8!"$$"1Ro)*G.jS$*!#;7$$!2(>a=5C1G8!#;$"1/)>gDVoO*!#;7$7$$!$D"!"#$"1UUU#3KxX*!#;7$$!2(>a=5C1G8!#;$"1/)>gDVoO*!#;7$7$$!%D6!"$$!1V.i*e_tj*!#;7$$!2)fjuf)GL8"!#;$!%D'*!"%7$7$$!2)fjuf)GL8"!#;$!%D'*!"%7$$!$D"!"#$!1UUU#3KxX*!#;7$7$$!$D"!"#$"1UUU#3KxX*!#;7$$!2fwy2`(zB7!#;$"13KG>k)3[*!#;7$7$$!2COY(f)GL8"!#;$"1(**********\i*!#;7$$!2fwy2`(zB7!#;$"13KG>k)3[*!#;7$7$$!2COY(f)GL8"!#;$"1'**********\i*!#;7$$!2x+9#yliE6!#;$"1Rq<!=YRj*!#;7$7$$!%D6!"$$"1U.i*e_tj*!#;7$$!2x+9#yliE6!#;$"1Rq<!=YRj*!#;7$7$$!%D6!"$$!1U.i*e_tj*!#;7$$!2(pH.o)\57"!#;$!1o'=esDnk*!#;7$7$$!#5!""$!1Xm_GNk'))*!#;7$$!2(pH.o)\57"!#;$!1o'=esDnk*!#;7$7$$!%D6!"$$"1U.i*e_tj*!#;7$$!2T@O+(p-K5!#;$"1u"*>N$[6!)*!#;7$7$$!#5!""$"1Ym_GNk'))*!#;7$$!2T@O+(p-K5!#;$"1u"*>N$[6!)*!#;7$7$$!#5!""$!1Xm_GNk'))*!#;7$$!1ESC&H80'*)!#;$!2%y:wo<n>5!#;7$7$$!$v)!"$$!2-6Q`K%>D5!#;7$$!1ESC&H80'*)!#;$!2%y:wo<n>5!#;7$7$$!#5!""$"1Ym_GNk'))*!#;7$$!0h>]"=r`%*!#:$"2#yg#)\T?,5!#;7$7$$!$v)!"$$"2-6Q`K%>D5!#;7$$!0h>]"=r`%*!#:$"2#yg#)\T?,5!#;7$7$$!#v!"#$!21w9j'o.w5!#;7$$!1NUbz"f#*e)!#;$!'DJ5!"&7$7$$!1NUbz"f#*e)!#;$!'DJ5!"&7$$!$v)!"$$!2-6Q`K%>D5!#;7$7$$!$v)!"$$"2-6Q`K%>D5!#;7$$!1p,?UDgy')!#;$"2)35#)RJKF5!#;7$7$$!1ZUbz"f#*e)!#;$"2'*********\7."!#;7$$!1p,?UDgy')!#;$"2)35#)RJKF5!#;7$7$$!1ZUbz"f#*e)!#;$"2'*********\7."!#;7$$!1Kcv.JRDz!#;$"2&flq?mka5!#;7$7$$!#v!"#$"21w9j'o.w5!#;7$$!1Kcv.JRDz!#;$"2&flq?mka5!#;7$7$$!1GrUGJ#y0(!#;$!#6!""7$$!#v!"#$!21w9j'o.w5!#;7$7$$!#v!"#$"21w9j'o.w5!#;7$$!1#*='G1L/E(!#;$"2PSd%=Q#o3"!#;7$7$$!1MrUGJ#y0(!#;$"2'*************4"!#;7$$!1#*='G1L/E(!#;$"2PSd%=Q#o3"!#;-%&COLORG6&%$RGBG$"#5!""$"2wppo&yg>5!#<$""!!""-%*THICKNESSG6#""#-%'CURVESG6I7$7$$!#?!""$!1F&G6O?9*)*!#;7$$!2e?bwBt$\>!#;$!1pj*G>ZM!**!#;7$7$$!%v=!"$$!1C5')))G-&*)*!#;7$$!2e?bwBt$\>!#;$!1pj*G>ZM!**!#;7$7$$!#?!""$"1F&G6O?9*)*!#;7$$!2p*=E$yK>#>!#;$"1H/%zIIJ))*!#;7$7$$!%v=!"$$"1D5')))G-&*)*!#;7$$!2p*=E$yK>#>!#;$"1H/%zIIJ))*!#;7$7$$!%v=!"$$!1D5')))G-&*)*!#;7$$!1=e_k(R=#=!#:$!1.!3^H"Q<**!#;7$7$$!$v"!"#$!1'>9^YJ:#**!#;7$$!1=e_k(R=#=!#:$!1.!3^H"Q<**!#;7$7$$!%v=!"$$"1D5')))G-&*)*!#;7$$!2E,o,(>$)*z"!#;$"1lS#f$e2**)*!#;7$7$$!$v"!"#$"1'>9^YJ:#**!#;7$$!2E,o,(>$)*z"!#;$"1lS#f$e2**)*!#;7$7$$!$v"!"#$!1'>9^YJ:#**!#;7$$!2X6<bg8"*o"!#;$!0(elp^()f**!#:7$7$$!%D;!"$$!1A^3,@Bw**!#;7$$!2X6<bg8"*o"!#;$!0(elp^()f**!#:7$7$$!$v"!"#$"1(>9^YJ:#**!#;7$$!1OxU@-&=o"!#:$"1UD&y@ww$**!#;7$7$$!%D;!"$$"1@^3,@Bw**!#;7$$!1OxU@-&=o"!#:$"1UD&y@ww$**!#;7$7$$!%D;!"$$!1@^3,@Bw**!#;7$$!1zw&or@"\:!#:$!2oFGd0LU+"!#;7$7$$!#:!""$!1C.<"G<m+"!#:7$$!1zw&or@"\:!#:$!2oFGd0LU+"!#;7$7$$!%D;!"$$"1A^3,@Bw**!#;7$$!19na8dYo:!#:$"2Ap]C9c,+"!#;7$7$$!#:!""$"2QKq6G<m+"!#;7$$!19na8dYo:!#:$"2Ap]C9c,+"!#;7$7$$!#:!""$!1C.<"G<m+"!#:7$$!2c_w5>=&)R"!#;$!24"z!\*\J=5!#;7$7$$!%v8!"$$!2%y<k_k4?5!#;7$$!2c_w5>=&)R"!#;$!24"z!\*\J=5!#;7$7$$!#:!""$"1C.<"G<m+"!#:7$$!2m4pohL-Y"!#;$"2F+y#*[y$45!#;7$7$$!2)***********\P"!#;$"2#y<k_k4?5!#;7$$!2m4pohL-Y"!#;$"2F+y#*[y$45!#;7$7$$!$D"!"#$!2<ioY/!))Q5!#;7$$!1av0'\:**H"!#:$!'DJ5!"&7$7$$!1av0'\:**H"!#:$!'DJ5!"&7$$!%v8!"$$!2%y<k_k4?5!#;7$7$$!%v8!"$$"2%y<k_k4?5!#;7$$!2*)))Q?C-yN"!#;$"2&)Q@JB"z@5!#;7$7$$!1dv0'\:**H"!#:$"2'*********\7."!#;7$$!2*)))Q?C-yN"!#;$"2&)Q@JB"z@5!#;7$7$$!1dv0'\:**H"!#:$"2'*********\7."!#;7$$!2.\A;*y1g7!#;$"2$pBRStyO5!#;7$7$$!$D"!"#$"2<ioY/!))Q5!#;7$$!2.\A;*y1g7!#;$"2$pBRStyO5!#;7$7$$!$D"!"#$!2<ioY/!))Q5!#;7$$!2Qs0MPdgA"!#;$!2=&oiW%=W/"!#;7$7$$!%D6!"$$!2KhAum;U1"!#;7$$!2Qs0MPdgA"!#;$!2=&oiW%=W/"!#;7$7$$!$D"!"#$"2<ioY/!))Q5!#;7$$!2>W=Ry\e;"!#;$"2E9b6Q<P0"!#;7$7$$!%D6!"$$"2KhAum;U1"!#;7$$!2>W=Ry\e;"!#;$"2E9b6Q<P0"!#;7$7$$!%D6!"$$!2KhAum;U1"!#;7$$!1uT9'=)[,5!#:$!2Uq?w\"=*4"!#;7$7$$!#5!""$!2Em9]8`&*4"!#;7$$!1uT9'=)[,5!#:$!2Uq?w\"=*4"!#;7$7$$!%D6!"$$"2KhAum;U1"!#;7$$!2uEmD?Z'y5!#;$"2nW69'f]u5!#;7$7$$!#5!""$"2Gm9]8`&*4"!#;7$$!2uEmD?Z'y5!#;$"2nW69'f]u5!#;7$7$$!1@Lr*o^r)**!#;$!#6!""7$$!#5!""$!2Em9]8`&*4"!#;7$7$$!#5!""$"2Gm9]8`&*4"!#;7$$!1")H&*=*4Y***!#;$"2OTUba.(*4"!#;7$7$$!1KLr*o^r)**!#;$"2'*************4"!#;7$$!1")H&*=*4Y***!#;$"2OTUba.(*4"!#;-%&COLORG6&%$RGBG$"#5!""$"1)[[VGR!)4&!#<$""!!""-%*THICKNESSG6#""#-%'CURVESG6;7$7$$!#?!""$!229s%R$Hf/"!#;7$$!24G2(3([-(>!#;$!2a*4@5KhZ5!#;7$7$$!%v=!"$$!2X%G$31r)\5!#;7$$!24G2(3([-(>!#;$!2a*4@5KhZ5!#;7$7$$!#?!""$"229s%R$Hf/"!#;7$$!2[z)o^x]0>!#;$"2o$)GMEH![5!#;7$7$$!%v=!"$$"2X%G$31r)\5!#;7$$!2[z)o^x]0>!#;$"2o$)GMEH![5!#;7$7$$!%v=!"$$!2X%G$31r)\5!#;7$$!2B5:$*39d$=!#;$!2Opw3DdG0"!#;7$7$$!$v"!"#$!17"fZcqk0"!#:7$$!2B5:$*39d$=!#;$!2Opw3DdG0"!#;7$7$$!%v=!"$$"2X%G$31r)\5!#;7$$!1\l)eFT**y"!#:$"29gP<q<K0"!#;7$7$$!$v"!"#$"17"fZcqk0"!#:7$$!1\l)eFT**y"!#:$"29gP<q<K0"!#;7$7$$!$v"!"#$!17"fZcqk0"!#:7$$!2ESkhwxTp"!#;$!2'y&4'GA&>1"!#;7$7$$!%D;!"$$!2'\"*o&=Tj1"!#;7$$!2ESkhwxTp"!#;$!2'y&4'GA&>1"!#;7$7$$!$v"!"#$"17"fZcqk0"!#:7$$!14u6mG^y;!#:$"2Ydkj2#og5!#;7$7$$!%D;!"$$"2%\"*o&=Tj1"!#;7$$!14u6mG^y;!#:$"2Ydkj2#og5!#;7$7$$!%D;!"$$!2'\"*o&=Tj1"!#;7$$!1aj$\@lEa"!#:$!2b+&yJT`w5!#;7$7$$!#:!""$!2-!R(Gq+.3"!#;7$$!1aj$\@lEa"!#:$!2b+&yJT`w5!#;7$7$$!%D;!"$$"2%\"*o&=Tj1"!#;7$$!2=<*zi%*pr:!#;$"1W&RXq%oq5!#:7$7$$!#:!""$"2-!R(Gq+.3"!#;7$$!2=<*zi%*pr:!#;$"1W&RXq%oq5!#:7$7$$!#:!""$!2-!R(Gq+.3"!#;7$$!2CHq+2RiP"!#;$!1R8Y6&=$*4"!#:7$7$$!%v8!"$$!2nPP)pUY*4"!#;7$$!2CHq+2RiP"!#;$!1R8Y6&=$*4"!#:7$7$$!#:!""$"2-!R(Gq+.3"!#;7$$!1"\N*GU0q9!#:$"2'>X"f#)HN3"!#;7$7$$!2)***********\P"!#;$"2nPP)pUY*4"!#;7$$!1"\N*GU0q9!#:$"2'>X"f#)HN3"!#;7$7$$!1dA+$*[;s8!#:$!#6!""7$$!%v8!"$$!2nPP)pUY*4"!#;7$7$$!%v8!"$$"2nPP)pUY*4"!#;7$$!2Pus2TAUP"!#;$"2&3]#fKs&*4"!#;7$7$$!2#fA+$*[;s8!#;$"2'*************4"!#;7$$!2Pus2TAUP"!#;$"2&3]#fKs&*4"!#;-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%*THICKNESSG6#""#-%'CURVESG6&7go7$$""!!""$!,zxxx(**!#67$$"21*3*G)))RpJ!#=$!1%yh\68s'**!#;7$$"+nmmmm!#6$!1mmobbbb**!#;7$$"1FcV/'H'H'*!#<$!1p:LEf#f#**!#;7$$"+LLLL8!#5$!,"*))))))))*!#67$$"2Fm_reV(*e"!#<$!1jowYQ:Y)*!#;7$$""#!""$!+yxxx(*!#57$$"2oN#ys\+*>#!#<$!1%oqVGV8t*!#;7$$"+nmmmE!#5$!1KLVAAAA'*!#;7$$"0mg#H0F#z#!#:$!1&pnP1TXe*!#;7$$"+MLLLL!#5$!1****RAAAA%*!#;7$$"2c@an,#*3P$!#<$!1adR02X3%*!#;7$$"2cWE)evvvN!#<$!*MLLL*!"*7$$"2u\aL#f#f#R!#<$!11,#e=&=&=*!#;7$$""%!""$!1mBS`h%Q:*!#;7$$"1h8tf%Q:Y%!#;$!1nlhBp2B*)!#;7$$"+nmmmY!#5$!1_x,?G^?))!#;7$$"1E^"fiu])\!#;$!1Bfp?f"oj)!#;7$$"+MLLL`!#5$!1E&>`V(*eV)!#;7$$"1)=#ySXe(\&!#;$!1#RNbT-&G$)!#;7$$""'!""$!")!""7$$"1B#[aY3cY'!#;$!1(z-")f$)yf(!#;7$$"+nmmmm!#5$!1[-2CCCCu!#;7$$"1'RdF#p2Bp!#;$!1Kj(*zr[zr!#;7$$"1,++MLLLt!#;$!1,w[(yyyy'!#;7$$"1=O%yKMJP(!#;$!1Kycd'oiu'!#;7$$"1MUWf`F\u!#;$!*nmmm'!"*7$$"1T'\Kt5`y(!#;$!1\L9P")GPi!#;7$$"")!""$!0,zJ'H'H'f!#:7$$"1*=9#[Bz&=)!#;$!1COJN!=\q&!#;7$$"1,w0HLL`%)!#;$!*MLLL&!"*7$$"1VWGMx.m&)!#;$!1DKmta2K^!#;7$$"+nmmm')!#5$!2Dj"3^4Q_\!#<7$$"1Hlh3444*)!#;$!1v[T&[[[[%!#;7$$"1/a9FQ\g"*!#;$!"%!""7$$"1M&eLbUSB*!#;$!29"GJR%=9!Q!#<7$$"+MLLL$*!#5$!2$****pJLLLN!#<7$$"1KFW"3/-^*!#;$!1_[Nk"3/-$!#;7$$"07Rr!R=K'*!#:$!*nmmm#!"*7$$"1og!yRP)R(*!#;$!2Mi#Rm9MY@!#<7$$"1E^4wf/3**!#;$!*MLLL"!"*7$$"1KS\=>>>**!#;$!2iO=g<<<<"!#<7$$"#5!""$""!!""7$$"1MWZxf/3**!#;$"*LLLL"!"*7$$"13%QhDPJ%)*!#;$"2of_s")eqk"!#<7$$"1Tx*)4R=K'*!#;$"*mmmm#!"*7$$"+MLLL$*!#5$"1****HKLLLN!#;7$$"1[)*eJQ\g"*!#;$"********R!"*7$$"+nmmm')!#5$"2x(Qp^4Q_\!#<7$$"1,wXNLL`%)!#;$"*LLLL&!"*7$$"")!""$"1#G<J'H'H'f!#;7$$"1'))R"o`F\u!#;$"*mmmm'!"*7$$"1,++MLLLt!#;$"1-Qu'yyyy'!#;7$$"1e+$*)H"R<s!#;$"1LUWH2b)*o!#;7$$"+nmmmm!#5$"1:U>CCCCu!#;7$$"1z:j7+++g!#;$"********z!"*7$$""'!""$"1p2B********z!#;7$$"1dG9$*******f!#;$"1&G9P++++)!#;7$$"+MLLL`!#5$"1bK0Nu*eV)!#;7$$"1<"*3Bq-F]!#;$"1B&yXh7Eh)!#;7$$"+nmmmY!#5$"1l_>?G^?))!#;7$$"2(o7n;"e'>T!#<$"1R0e&4<S4*!#;7$$""%!""$"1)\kR:YQ:*!#;7$$"28*4G%eddd$!#<$"*LLLL*!"*7$$"+MLLLL!#5$"1BA#=AAAU*!#;7$$"2wY%Q]d/"G$!#<$"1Rt"p\3zV*!#;7$$"+nmmmE!#5$"1cb0AAAA'*!#;7$$"2;Bh?lWJ]#!#<$"1/k*)etPg'*!#;7$$""#!""$"1wxxxxxx(*!#;7$$"2<Pb\vvvv"!#<$"16Zj====)*!#;7$$"+LLLL8!#5$"1*))))*)))))))))*!#;7$$"2ypo(pc$4/"!#<$"1aAKb'G"=**!#;7$$"+nmmmm!#6$"1BAkbbbb**!#;7$$"29`mM$[#G]$!#=$"1NJ4&p,h'**!#;7$$""!!""$"1zx(yxxx(**!#;-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%*THICKNESSG6#""%-%-TRANSPARENCYG6#$"2CK-)H+++?!#<-%'CURVESG6&7A7$$""!!""$!#5!""7$$""!!""$!+LLLL$*!#57$$""!!""$!+nmmm')!#57$$""!!""$!")!""7$$""!!""$!1,++LLLLt!#;7$$""!!""$!+mmmmm!#57$$""!!""$!"'!""7$$""!!""$!+LLLL`!#57$$""!!""$!+mmmmY!#57$$""!!""$!"%!""7$$""!!""$!+LLLLL!#57$$""!!""$!+mmmmE!#57$$""!!""$!"#!""7$$""!!""$!+LLLL8!#57$$""!!""$!*mmmm'!#57$$""!!""$""!!""7$$""!!""$")nmmm!"*7$$""!!""$"*LLLL"!"*7$$""!!""$""#!""7$$""!!""$"*nmmm#!"*7$$""!!""$"*LLLL$!"*7$$""!!""$""%!""7$$""!!""$"*nmmm%!"*7$$""!!""$"*LLLL&!"*7$$""!!""$""'!""7$$""!!""$"*nmmm'!"*7$$""!!""$"*LLLL(!"*7$$""!!""$"")!""7$$""!!""$"*nmmm)!"*7$$""!!""$"*LLLL*!"*7$$""!!""$"#5!""-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%*THICKNESSG6#""%-%-TRANSPARENCYG6#$"2CK-)H+++?!#<-%'POINTSG6&7$$"#5!""$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%'SYMBOLG6$%-_SOLIDCIRCLEG"#D-%&STYLEG6#%&POINTG-%'POINTSG6&7$$"+nmmmm!#5$"+B*fNX(!#5-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%'SYMBOLG6$%-_SOLIDCIRCLEG"#D-%&STYLEG6#%&POINTG-%'POINTSG6&7$$"+nmmmm!#5$!+B*fNX(!#5-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%'SYMBOLG6$%-_SOLIDCIRCLEG"#D-%&STYLEG6#%&POINTG-%%VIEWG6$;$!#?!""$"#?!"";$!#6!""$"#6!""-&%&_AXISG6#"""6#-%+_GRIDLINESG6#%(DEFAULTG-&%&_AXISG6#""#6#-%+_GRIDLINESG6#%(DEFAULTG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$I"!""-%)BOUNDS_YG6#$"#q!""-%-BOUNDS_WIDTHG6#$"%II!""-%.BOUNDS_HEIGHTG6#$"%I;!""-%)CHILDRENG6"
8.3 - Ruller og postv\303\246senet i Langtbortistan
Jeg har f\303\245et at vide at jeg skal lave en cylinder med l\303\246ngden l og diameteren d med det st\303\270rst muligt volumen V uden at l\303\246ngden sammenlagt med to gange diameteren er over 105. Dette giver mig bibetingelsen:
l + 2d \342\211\244 105
Denne omskriver jeg til funktionsudtrykket:
g(x,y) = l + 2d - 105
For at finde det st\303\270rst muligt volumen skal jeg se p\303\245 funktionen der giver voluminet givet ved l og d , som m\303\245 v\303\246re givet ved:
V(l,d) = \317\200 l (d/2)2
Og jeg kan nu ved hj\303\246lp af elimination l\303\270se dette ligningssystem. Jeg starter ud med at isolere l i min f\303\270rste formel (hvor jeg erstatter min ulighed med et lighedstegn), hvor jeg f\303\245r:
l + 2d = 105 \342\207\224
l = 105 - 2d
Dette udtryk for l kan jeg s\303\245 inds\303\246tte i udtrykket for V :
V(105 - 2d, d) = \317\200 (105 - 2d) (d/2)2 = \317\200/4 (105 - 2d) d 2
Jeg skal nu finde ud af hvorn\303\245r denne funktion af en variabel har maksimum, og det er s\303\245 i denne v\303\246rdi for d mit maksimum vil v\303\246re. Dette g\303\270r jeg i Maple ved at definere min funktion V , for derefter at finde ud af hvorn\303\245r dennes differentierede er nul:
V:=(l,d)->Pi*l*(d/2)^2-105;
Zio2JEkibEc2IkkiZEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYqKEkjUGlHJSpwcm90ZWN0ZWRHIiIiOSRGLjklIiIjI0YuIiIlISQwIkYuRiVGJUYl
plot(V(105-2*d,d), d=-20..60, gridlines=true, view=[-20..60, -4000..35000], numpoints=1000, thickness=3);
6*-%'CURVESG6$7din7$$!$+#!""$"2'*>0xM4[a%!#77$$!2XJ9V^@;*>!#:$"1R+DbB],X!#67$$!1>(=(Q9L%)>!#9$"1[QW$fASY%!#67$$!2jEmi)H8w>!#:$"20$oM@h4AW!#77$$!2#\"\"*=!)y'>!#:$"1ib`G,8!Q%!#67$$!2i8Ohhm'f>!#:$"2X<X*[0gQV!#77$$!2FaUDe^?&>!#:$"19$\k.3.I%!#67$$!2jLOjlmT%>!#:$"14_kk:(3E%!#67$$!2WPuV07g$>!#:$"1jAv(*RJ?U!#67$$!2UKCVg$)y#>!#:$"0GQ8S;,=%!#57$$!2WLMV\A&>>!#:$"1s;F!=2!RT!#67$$!1/T5C!e@">!#9$"1'ygiV)*H5%!#67$$!1&*[*[PnQ!>!#9$"2'HrV(3&oiS!#77$$!2N[$[$oUb*=!#:$"1m:voVWAS!#67$$!1"y!y+._()=!#9$"1yxfy-*Q)R!#67$$!2'G(G(3_B!)=!#:$"1'G"))Q12\R!#67$$!2)\'\'HDdr=!#:$"1xgdCI!z!R!#67$$!2U=%=/TBk=!#:$"1=))pw!HK(Q!#67$$!22"3"3x(pb=!#:$"1XA(o!e7LQ!#67$$!2$\$\$p;9[=!#:$"0A@fCMyz$!#57$$!2$o%o%G9&)R=!#:$"1\-!RaO$fP!#67$$!2'y'y'er&>$=!#:$"1*HAEx$*Gs$!#67$$!2iJ;jJ?P#=!#:$"1C\pMQ4&o$!#67$$!2PwjPKch"=!#:$"18(H3)He]O!#67$$!1Of$f`(*z!=!#9$"1%)RvCRd8O!#67$$!2#o$o$[G_*z"!#:$"13+ae#o`d$!#67$$!1Gz#zgX@z"!#9$"1aT=UdIUN!#67$$!1Yh9')z<%y"!#9$"17.%oQ,o]$!#67$$!2M@8KlYfx"!#:$"0"\^wRMqM!#57$$!0#)>)**Q*yw"!#8$"2%RNY+a*[V$!#77$$!1Zo%oW-,w"!#9$"1r-(ft,3S$!#67$$!2msEnO^9v"!#:$"0_kK!==jL!#57$$!2lYmk)znV<!#:$"0A"3-$*eHL!#57$$!2O%Q%QCy`t"!#:$"2'pLYa<%RH$!#77$$!2OWVMWdys"!#:$"1==)f@N=E$!#67$$!1-@5A_j><!#9$"2D?D%=k%pA$!#77$$!2Ff#f_()*=r"!#:$"2#=M:b1K%>$!#77$$!2Gz#z7>"Qq"!#:$"2aL*GxgUgJ!#77$$!2'[([([b!fp"!#:$"23jL)QP\FJ!#77$$!2$=$=$=$Gwo"!#:$"2Eg^t9MK4$!#77$$!2<kT;Oc'z;!#:$"2(Qw9RzWgI!#77$$!2Y_CX)Q]r;!#:$"1y%\lvJr-$!#67$$!1MS.9*=Mm"!#9$"2V>\x6.V*H!#77$$!2d#e#em*)fl"!#:$"21C3#=CKkH!#77$$!1*)*))*3\ZZ;!#9$"1([5&G!z,$H!#67$$!1p*o*3#f)R;!#9$"1l"G#ou$)**G!#67$$!2WKCVGR<j"!#:$"1T\&Q8"pnG!#67$$!2-Og.[nRi"!#:$"2#[95>)>r$G!#77$$!23&3&3*yL:;!#:$"2c@P.K*R.G!#77$$!21U?/Ilyg"!#:$"1Euw)o!RuF!#67$$!2MWVM%QQ*f"!#:$"2$=*f`sz;u#!#77$$!2j:ch"Rl"f"!#:$"2=M\o.l?r#!#77$$!20^50f)>$e"!#:$"2$*)zr3n))zE!#77$$!2WVMW2.fd"!#:$"22Qm"oFI_E!#77$$!2K@8KL%fn:!#:$"1.(f:1"4@E!#67$$!2#z$z$*\o&f:!#:$"2:*H]cq9"f#!#77$$!2(G'G'3za^:!#:$"1TyCOLUhD!#67$$!2V=%=CobV:!#:$"1'='oK!3?`#!#67$$!2PtLP*)ze`"!#:$"2E5J]#e$R]#!#77$$!2(3'3'G4eF:!#:$"13a')3VztC!#67$$!2K4$489n>:!#:$"1QA4w_EXC!#67$$!20Yg/-Z8^"!#:$"1&>MH-[aT#!#67$$!2/cg0W6Q]"!#:$"2tL&\@*R')Q#!#77$$!1%4%49K[&\"!#9$"2E"='H^9#fB!#77$$!2VQ%QCi](["!#:$"2)pG#)H!H7L#!#77$$!23*3*3l[&z9!#:$"1QkA;^].B!#67$$!2W`MX$pBr9!#:$"2ZAJ?<`ZF#!#77$$!2-MS.a"ej9!#:$"1ym+VrX[A!#67$$!2&H&H&p8ub9!#:$"27@bdQ5<A#!#77$$!2$p$p$*)[3Z9!#:$"2L%RW(\%R#>#!#77$$!2djNc:Z#R9!#:$"2$HcQYh/m@!#77$$!2Y![![gJ7V"!#:$"1uX%f*4HR@!#67$$!2h2wg**zIU"!#:$"2:!*o3EzA6#!#77$$!29S,93(e:9!#:$"2w.@L^Dw3#!#77$$!1(*p*p()*f29!#9$"2%el;^)H:1#!#77$$!2=r6<Zt'*R"!#:$"2l6))H_?e.#!#77$$!1#)=)=o%>"R"!#9$"1tgauf_3?!#67$$!2s:dr^7PQ"!#:$"1QI:7lh%)>!#67$$!2AH#H_'z]P"!#:$"1.XTr`Bd>!#67$$!2vJ<t:*Gn8!#:$"1NY"3W9F$>!#67$$!2'\(\(p3ef8!#:$"2#*=k=wF'3>!#77$$!2VI/V)>H^8!#:$"2V<ii8@H)=!#77$$!2&3'3'o&pHM"!#:$"2'zE4hDJd=!#77$$!2Fg-ES(RN8!#:$"1w4X')z=M=!#67$$!2'e'e')4ctK"!#:$"20upXD8)4=!#77$$!1K>$>d3&>8!#9$"2_n[6s1iy"!#77$$!2-<q,x,5J"!#:$"29_8I@=3w"!#77$$!29],:-TOI"!#:$"22nv6f=!R<!#77$$!1aS0Mp=&H"!#9$"1w&pNItTr"!#67$$!2uS2ukRsG"!#:$"2VTCf[/5p"!#77$$!2H)G)G7p$z7!#:$"2PmG*RwBo;!#77$$!2sH(HPB\r7!#:$"1K39a(Hck"!#67$$!2Xf%f9&eME"!#:$"2^ce'QJvA;!#77$$!2s6<rzU\D"!#:$"2U)[VHWq)f"!#77$$!2#y!y!=Z8Z7!#:$"2GHSyhMod"!#77$$!29Yh99F%R7!#:$"2A=&p4_Tb:!#77$$!14*3*oy=J7!#9$"1j[:)H.F`"!#67$$!2D`KD`mHA"!#:$"2M='*[%4B5:!#77$$!2["\"\R(e:7!#:$"1)o`j'>A!\"!#67$$!2UFuUFYo?"!#:$"2"o<tynrm9!#77$$!0()p)4@`*>"!#8$"2N#*f,Q7sW"!#77$$!2K0`IPx4>"!#:$"1ksIe%)eC9!#67$$!2c]0bq7G="!#:$"14#GBJ&=.9!#67$$!0"*4*HE_v6!#8$"1&4`)y0B%Q"!#67$$!2uXdu<Ct;"!#:$"1.jSS!*3j8!#67$$!2.MS.Qr!f6!#:$"2kl_+,%*>M"!#77$$!2uKFt!y&3:"!#:$"1@PE[Y=@8!#67$$!2QtLPxUK9"!#:$"11#H*)[c?I"!#67$$!2w_Fv%yNN6!#:$"2_S%48qT#G"!#77$$!2dclbC.s7"!#:$"2:b$*en$Gi7!#77$$!2b^:bzu!>6!#:$"2FFk>O%RU7!#77$$!2c_Dbo826"!#:$"2.Wwr:A@A"!#77$$!2aH&H:#\L5"!#:$"2jba"GDU/7!#77$$!2h3'3m&e]4"!#:$"23KVuVrY="!#77$$!2YnuY(Qt'3"!#:$"2)[M"))oC];"!#77$$!1s>(>\6(y5!#9$"2lxY3smi9"!#77$$!0#*>**RE92"!#8$"2n#**)HN"QH6!#77$$!24%3%3sjF1"!#:$"2xN8wm'[46!#77$$!2bPv`HDa0"!#:$"2sB*3E*)y#4"!#77$$!1-?+i*))o/"!#9$"2(y5H3Yat5!#77$$!21aS0'GLR5!#:$"2;E3*3/nc5!#77$$!2'f'f'>E/J5!#:$"2F:x3SH$Q5!#77$$!2*p)p)\$[J-"!#:$"2FTJB(=.@5!#77$$!2v]2v]6\,"!#:$"1E\eWt:.5!#67$$!1b\&\^Zt+"!#9$"1B:&=%o)*o)*!#77$$!0Fr7F()=***!#9$"0Ng2#>G&p*!#67$$!1&f&f&RSr!**!#:$"1dEotun;&*!#77$$!0>">"*zOL)*!#9$"01%[SBri$*!#67$$!1uLPt<p`(*!#:$"16"HtY+!)>*!#77$$!1XS/W%y8n*!#:$"/hl-%\&H!*!#57$$!065,"4&3f*!#9$"1l))ou>Vm))!#77$$!1"Q!Q!QOH^*!#:$"1&o*y8N=5()!#77$$!0=z"zbUE%*!#9$"0n(Qon]Q&)!#67$$!1yldw<p[$*!#:$"0mS[xneQ)!#67$$!1^.N]Vpl#*!#:$"19^`!z!eC#)!#77$$!1ZjMYj[!>*!#:$"1bE7&pJ*z!)!#77$$!1MH$H8k#3"*!#:$"1Z*\6'*>M#z!#77$$!1Py$yV**3.*!#:$"1@YX1Gqxx!#77$$!1R)R)R5.]*)!#:$"0cNg8')pi(!#67$$!1,%*R*Rn4())!#:$"1T0"H;47[(!#77$$!1%4&4&4&>)y)!#:$"1)))o.xe-L(!#77$$!1H$G$GbZ3()!#:$"1K.l!Q!['=(!#77$$!1fr:d2&pi)!#:$"1\y$4pp5/(!#77$$!1_AD_55Y&)!#:$"0K&G/%z%)*o!#67$$!1s,<q&3=Z)!#:$"1Z0yR&o)on!#77$$!1.=!=+hmQ)!#:$"1'***Rz6)>i'!#77$$!/;g,S]5$)!#8$"1k"z]5-@\'!#77$$!1d^:bZIH#)!#:$"1M/K-z<bj!#77$$!1:b^:ne^")!#:$"14md?:iDi!#77$$!0U?/#3Hl!)!#9$"1-mEClZ$3'!#77$$!1<h6;\c!*z!#:$"1Mk9>#R='f!#77$$!2lMYjM]d!z!#;$"1R"*p")\SDe!#77$$!1uMZt5XGy!#:$"12I)3SgDq&!#77$$!1=q,<y*Qu(!#:$"1lg"e+@)pb!#77$$!1diDcE%4n(!#:$"1XBxIllca!#77$$!1XS/W_&ye(!#:$"1MwQkIJH`!#77$$!2bq0d!pf2v!#;$"1Ft@<b&y?&!#77$$!1*>)>)*4RFu!#:$"1&pX&4S*z3&!#77$$!2bv`P:![Zt!#;$"1c'[<Yw+(\!#77$$!1[#\#\3rqs!#:$"141.qI?e[!#77$$!2l*z*z>@x=(!#;$"2:VZqZ7)QZ!#87$$!1VG%G/E'3r!#:$"1)pnF8;li%!#77$$!1;l^;@QDq!#:$"/.-dl*)4X!#57$$!1<v^<j-]p!#:$"1wF=o"4dS%!#77$$!1`G&G0Wn'o!#:$"1DjIlY3#H%!#77$$!1cdvbT(py'!#:$"1wYkfdu%=%!#77$$!2&>3#3U)R2n!#;$"1vyz]$>"zS!#77$$!1fsDd7GCm!#:$"2(G.@lYLqR!#87$$!1:`J:tsZl!#:$"2`,'>B(H:(Q!#87$$!12s?2cKpk!#:$"0Q/+k;<x$!#67$$!11cg03w#Q'!#:$"1-c&>&R7jO!#77$$!1o#o#oMQ/j!#:$"2/YjIGdic$!#87$$!2&f*f*fzACi!#;$"2L"yE!Q='oM!#87$$!1sEns=rUh!#:$"2Zo&pnazqL!#87$$!1Df#fs#yng!#:$"2kme<K$=#G$!#87$$!1#)=)=o5z)f!#:$"2$o)eBt)4*=$!#87$$!1H!H!Hmk3f!#:$"1(H`e')=")4$!#77$$!1K2tI(eQ#e!#:$"2jV*=ZHL-I!#87$$!2X[$[$3P!\d!#;$"2%**H.'z=">H!#87$$!1L[$[V3Fm&!#:$"1bl?a3jCG!#77$$!1'3&3&[.[e&!#:$"2/sqS\f2u#!#87$$!14%4%41s2b!#:$"29%Q#=#G2fE!#87$$!1b\&\vJ[U&!#:$"04X#R4nsD!#67$$!1)*z*zf2;M&!#:$"2Xkq">IT([#!#87$$!1Qz$z$f)eE&!#:$"2V%R[wl86C!#87$$!1)\)\)*GZ&=&!#:$"2$)R&RS7[JB!#87$$!1K7BJw*p5&!#:$"2XOO]Sy]D#!#87$$!18Oh8'H>-&!#:$"1%*4J+*QP<#!#77$$!1Hp#p7A$[\!#:$"2Vz<dT(f/@!#87$$!1`CX_7yj[!#:$"2YZSf-+m-#!#87$$!1')f)fQ3Vy%!#:$"00bD;_Y&>!#67$$!0uS29.cq%!#9$"1$=9vf1Z)=!#77$$!1&)[)[GNoi%!#:$"2Q`gCM.g"=!#87$$!1fy&y0(\YX!#:$"1$\!Q`JEZ<!#77$$!1$3$3$))R8Y%!#:$"0Y6dvjen"!#67$$!1$p#p#4fKQ%!#:$"2-s(y.nr6;!#87$$!1El_EL=1V!#:$"24ZGrcG'\:!#87$$!1,5+,1zBU!#:$"0&y**=ug%["!#67$$!1QsBPsdTT!#:$"2(obs(=86U"!#87$$!1h51heynS!#:$"2bMM8^(Hl8!#87$$!2NlaYlu.)R!#;$"18>Bd;h+8!#77$$!161h5IB2R!#:$"2\yy%zWnZ7!#87$$!1VCWUco@Q!#:$"18b)yrFr="!#77$$!1np'p'*Q+u$!#:$"2ch1dO828"!#87$$!165,6#Qrm$!#:$"2&ez5:*p93"!#87$$!2b['['o`^e$!#;$"2#[;\SpNF5!#87$$!2YJ:`rDE]$!#;$"1zrRqFMU(*!#87$$!1&=&=&)**[?M!#:$"1%3O'eo-F#*!#87$$!2'\#\#\'RVM$!#;$"1E2&[@Z6w)!#87$$!2))=(=(Q!\lK!#;$"1%fP3=g2H)!#87$$!1mvcnV%R=$!#:$"19fkJP3<y!#87$$!1oq1n)fE5$!#:$"16O%[EFyN(!#87$$!1nr;n([!>I!#:$"18GLA1"))*o!#87$$!1n['[1/a%H!#:$"1Jug$[3d]'!#87$$!1rFxsv\iG!#:$"1=yCP;nvg!#87$$!2wle'e1DzF!#;$"1#4:wMTrl&!#87$$!1J;jJo-*p#!#:$"1Jv&y%HMm_!#87$$!17666f<EE!#:$"1:&*38m2A\!#87$$!0K?.7\&RD!#9$"1=j&p;5e_%!#87$$!1ocml[;mC!#:$"2u*oJ%o67?%!#97$$!1L>$>`,3Q#!#:$"2.o)4`SPOQ!#97$$!2cJ<t^S_I#!#;$"1N,NgY#[_$!#87$$!2%4&3&3"QBA#!#;$"1Rf"\%[E&>$!#87$$!171h5aRV@!#:$"1iglW6K$*G!#87$$!1))p)p)p-h?!#:$"0b&G@Kd!f#!#77$$!2GYh91(Q&)>!#;$"1:eU(RuNK#!#87$$!2==$=$=*z.>!#;$"27NE&3yNZ?!#97$$!10v]2B0>=!#:$"2W*ewe^Lt<!#97$$!2M5.J!*z_u"!#;$"2E>vu0Yaa"!#97$$!2OG&G&o.cm"!#;$"2b^F$\lS58!#97$$!2h&f&fN!H$e"!#;$"2)H<A,)H'z5!#97$$!23-A?#Gw-:!#;$"1,l(oVDll)!#97$$!2DH#H#H[[U"!#;$"1^d7xut'p'!#97$$!2B4"4"\P$Q8!#;$"1j!3yLkvk%!#97$$!2t[)[)o.1E"!#;$"1=$Q-8\'>H!#97$$!2DEiAE1w<"!#;$"2#z9D[vl#>"!#:7$$!2$e#e#e#)R-6!#;$!1Ybo%oX^n#!#:7$$!2a%[%[/w,-"!#;$!0X"p'*4T]<!#87$$!1*\(\(\8"G%*!#;$!2j9tlIRz.$!#:7$$!1.v^<&H%>')!#;$!2aV'pqUdsU!#:7$$!1AJ68JzGy!#;$!1#*HI[#Q-P&!#97$$!1d+2q+2,q!#;$!1f@w%*y)RS'!#97$$!1)R-CSuQ?'!#;$!1T.([21&)G(!#97$$!1@2p!pE')Q&!#;$!1jJlX$333)!#97$$!1b;kT'H,e%!#;$!1X=-7J&\v)!#97$$!0$3#3#[?PQ!#:$!1%[-%*=soF*!#97$$!1jr8P"Hd)H!#;$!1#y3HEi1w*!#97$$!2v6N^8fTA#!#<$!2DS^*)zJ!45!#97$$!2.qq1nm@T"!#<$!1&o\=65N."!#87$$!1HGuUF')\j!#<$!2$)[!>a3nY5!#97$$"2KkmnwE(zA!#=$!0*=S$fr&\5!#77$$"1er>(><Bv*!#<$!2;dm=Mr@/"!#97$$"2WS<uTxL#=!#<$!2L%\QUunA5!#97$$"2(\h9Y,P'f#!#<$!1-)>C;Ho%**!#97$$"122r5F!>W$!#;$!1&Gzn*eWH&*!#97$$"1/$=$=VXrT!#;$!1Lt/cXRw!*!#97$$"1A/WS%GB+&!#;$!1XIk"ergX)!#97$$"1:Q#Q#="\!e!#;$!18%4`%>%=v(!#97$$"1l))*))*3(pg'!#;$!1"yS$GmXXp!#97$$"1:LMV$zgS(!#;$!2/#RBWT]Sg!#:7$$"1s$)Q)QsP<)!#;$!0VLu7Fh2&!#87$$"104!4!*oO+*!#;$!1j@,PDRHR!#97$$"0U_CX?Yz*!#:$!2m5SNWzht#!#:7$$"1r:drfqi5!#:$!29mqta"=v8!#:7$$"2'p0dq<1Q6!#;$!1"\#\Hy:c]!#;7$$"2OBN_.W8A"!#;$"2A&o%oaU_^"!#:7$$"28LKB$R6,8!#;$"2w1x`.$z9J!#:7$$"2dEnsm*o!Q"!#;$"2u(>"GEWs![!#:7$$"2M$3$3$o!QY"!#;$"11'[&)oExn'!#97$$"2<xsFxg.a"!#;$"1G0NGI*G\)!#97$$"2&y3)3[i(=;!#;$"2&354wOKW5!#97$$"2B[#[#GF`q"!#;$"2vYpW8].F"!#97$$"2)=)>)>Yq$y"!#;$"2/n30VAY["!#97$$"2v7G"G,'Q'=!#;$"2'eMp5o;8<!#97$$"2[T:a@w`%>!#;$"1B/*R"4Ib>!#87$$"1i@;i`I??!#:$"2uC$QrGY'=#!#97$$"2L?1iSx,5#!#;$"2%["**yO#*=W#!#97$$"01f!f9Wz@!#9$"1K0_Z9`/F!#87$$"1etNd$HUE#!#:$"1je-nY^&*H!#87$$"11Yg/50RB!#:$"2Z_DWyq3E$!#97$$"1_KD`'z`U#!#:$"/f!GRtpd$!#67$$"1.I+.YG.D!#:$"1/eQ(GA8(Q!#87$$"1y'y'yuO!e#!#:$"2$y)R"4#35<%!#97$$"1MJ8LjDjE!#:$"2vt$yu#)e-X!#97$$"2%*3!4!\![YF!#;$"1kx_l_<X[!#87$$"1^,:]@?AG!#:$"0clv"yCl^!#77$$"2$*e*e*=:E!H!#;$"1NAd()Q$Q^&!#87$$"2Y&o&oX!4")H!#;$"1)=96J(fie!#87$$"1xWZu%eh1$!#:$"1-"HYsx,D'!#87$$"2P;h6'fwRJ!#;$"1*QA6$*)[$f'!#87$$"1McjNoICK!#:$"1Z'36lRo*p!#87$$"295-@qzPI$!#;$"1aec:.y%Q(!#87$$"1ZtMZ\[#Q$!#:$"0VV9\-tx(!#77$$"2`?.K!GDhM!#;$"1J)z`#))Qy")!#87$$"2%H-BI5fTN!#;$"0x@eWFff)!#77$$"1/]+0#[ni$!#:$"1Mgt</yZ!*!#87$$"2bR&R&**G[q$!#;$"1oU6W%>/Z*!#87$$"1j:chZ!>y$!#:$"1i.AIGR&*)*!#87$$"1'3(3([(HkQ!#:$"1MEL-v"e."!#77$$"2$\3&3&3^YR!#;$"2j=bmbkG3"!#87$$"1Fq-FAI?S!#:$"1>w5&[Fe7"!#77$$"1NMVLMr2T!#:$"24X'eZ\hx6!#87$$"1yuZx]&3=%!#:$"2;VY4m*o@7!#87$$"1UckXCSmU!#:$"2*3,&ey"4u7!#87$$"1=67@"\![V!#:$"2BCfG"f&\K"!#87$$"1yq2x)\4U%!#:$"2&yZDZ*p5P"!#87$$"/;g,W$H]%!#8$"2wVReX7PU"!#87$$"1uFxsBY&e%!#:$"2oN!)zWNvZ"!#87$$"1/H!H5)fnY!#:$"2[A;AtD>`"!#87$$"1R)Q)Q%[Pu%!#:$"1Xu:%\"3$e"!#77$$"1/4!4q(fA[!#:$"2.]c4%\yO;!#87$$"1>0_?P9/\!#:$"209&H`k5$p"!#87$$"1@5-@#Ga)\!#:$"2A)H*p'H.]<!#87$$"1A4#4KR!p]!#:$"1F'3s!>S4=!#77$$"1DKABSoU^!#:$"2NnQhpsB'=!#87$$"1=`J:0fD_!#:$"128Lv3wA>!#77$$"1G%H%Hu$)3`!#:$"1**>[gq>%)>!#77$$"1ekXc71*Q&!#:$"1Bq,yc:W?!#77$$"1xp(p<7>Y&!#:$"0@FhTS#*4#!#67$$"1lxwn*Q&[b!#:$"11A`+\_l@!#77$$"1@CUAK#>i&!#:$"2.T"pA"QBA#!#87$$"1fh:clG2d!#:$"1z\+pO=*G#!#77$$"1t2xqv%Gy&!#:$"1,Z:B#H!\B!#77$$"1$ez&z*\d'e!#:$"2L(zC*\9aT#!#87$$"0[xun#pWf!#9$"21qiF`H$zC!#87$$"1,65,61Fg!#:$"12C()3;uYD!#77$$"1EmiE5q-h!#:$"2Meb]B$H4E!#87$$"2N!\!\!*)G%='!#;$"2j&>!4Y_un#!#87$$"0e!e!yN!pi!#9$"2(fr1XB+\F!#87$$"1&)\)\=3GM'!#:$"2i=<2&e!>"G!#87$$"1-G!GS%[Ak!#:$"2WK*Hkg[!)G!#87$$"1L@8Kxz/l!#:$"2xfK18K?&H!#87$$"1og1m_K&e'!#:$"2aPgnZ0F-$!#87$$"1'z&z&zRKm'!#:$"1,Ftv0s"4$!#77$$"1'*p*pf](\n!#:$"2Lr,2Hw!pJ!#87$$"2:g*f*R%[Fo!#;$"2Fm#G.3BRK!#87$$"1Ee#e#=[5p!#:$"2C>hD`1[J$!#87$$"0$)H)H)*o&)p!#9$"2nV"[qK)QQ$!#87$$"1VKCV?"z1(!#:$"2Ot')RgV+Y$!#87$$"1R$Q$QnFXr!#:$"2&)Qege6B`$!#87$$"1NjLO^9Es!#:$"2$e5vpnZ3O!#87$$"1xnxw(3_I(!#:$"2G)3C&QaNo$!#87$$"1$3"3"3")zQ(!#:$"1u<lerziP!#77$$"1\y%yk+xY(!#:$"1^XO+ZtRQ!#77$$"0->!>aA\v!#9$"2j#pRve.>R!#87$$"1BR#R7v+j(!#:$"0hgV+'H)*R!#67$$"11g+1wO/x!#:$"2Z)R9ISmrS!#87$$"1wVPu^^*y(!#:$"14H57&yj:%!#77$$"2NduX<sc'y!#;$"14SWg/rKU!#77$$"1A5-@9(o%z!#:$"2v[=6BwYJ%!#87$$"0mg1Y*eC!)!#9$"1(y7h+%o$R%!#77$$"1bdvb`)36)!#:$"02PcyV?[%!#67$$"01g+E6c=)!#9$"1l-wg%*3fX!#77$$"0$)H)HeUq#)!#9$"0cr)328ZY!#67$$"/Fq-^sZ$)!#8$"1"3dS#f"zs%!#77$$"0;f"f$yAV)!#9$"14O"fKso"[!#77$$"0#*>*>NB0&)!#9$"0j]d)y6%*[!#67$$"1N@8K4K)e)!#:$"1<,234k#)\!#77$$"1n/Zq#z&o')!#:$"2X#R5)Q+(o]!#87$$"1vz(z<&y[()!#:$"1wj2o#R_:&!#77$$"0UAC-'pG))!#9$"1cTP]u)>C&!#77$$"1Ep#pKla!*)!#:$"2:Z"[fo"eK&!#87$$"1w"y"y\X))*)!#:$"1)o'[9b(pT&!#77$$"0LLL8]v1*!#9$"0O)R71P/b!#67$$"0mf'fSz]"*!#9$"1/_%\u')of&!#77$$"1e'e'e)\hA*!#:$"1$[Th\16o&!#77$$"1ALKB@V4$*!#:$"1Q)*=V+qud!#77$$"0U?/--#*Q*!#9$"0ETMW[['e!#67$$"1a`Nbxxo%*!#:$"1*QS32i_&f!#77$$"1>*=*=\*=b*!#:$"10IUe6@]g!#77$$"0'3'3')[%G'*!#9$"1MXT%o?"Qh!#77$$"1n*o*o0&oq*!#:$"1_:XtEgGi!#77$$"1r0dq`T$z*!#:$"1\()*>zH!Hj!#77$$"13z!zq#zr)*!#:$"1)y.p(zU?k!#77$$"18i@;#[>&**!#:$"1<c$\\cV^'!#77$$"2/N].VYL+"!#:$"0O%)G6[.h'!#67$$"1D]-X$R3,"!#9$"1JYVic**)p'!#77$$"2#H%H%\l#)=5!#:$"1(*R/e;#Rz'!#77$$"2\r9Z&HvE5!#:$"12Fm*pf&))o!#77$$"2ZaWXuJ_."!#:$"1ka3PpE!*p!#77$$"2&p#p#4RrU5!#:$"1>V%=g@/3(!#77$$"1MT8unM^5!#9$"18CX-[!\=(!#77$$"2#4"4"ps8f5!#:$"12_BXUhzs!#77$$"2nnwmbXo1"!#:$"1:w**[Krtt!#77$$"2B7A@WM^2"!#:$"1ooSgmKvu!#77$$"2v"y"y&oX$3"!#:$"1o%ehw!zxv!#77$$"1CQ#Q-H54"!#9$"1pGT8hRrw!#77$$"2ywnxKq!*4"!#:$"1b"oQi!>rx!#77$$"2V\%\ay"p5"!#:$"1&>(zAG'*oy!#77$$"2mDcilCa6"!#:$"0Cw'z.Pvz!#67$$"2\#\#\S&yA6!#:$"1@`-x>zn!)!#77$$"2BPsB\R78"!#:$"1<AH'[OV<)!#77$$"1>!>!zn=R6!#9$"1FSL*4u[F)!#77$$"2OaVNIdq9"!#:$"1"Ris)*)zu$)!#77$$"2%H"H"*3M\:"!#:$"1Yfs%zb^Z)!#77$$"2=$=$="z'H;"!#:$"1#*fF$zryd)!#77$$"2$4$4$HO[r6!#:$"1`0i&yQro)!#77$$"2%[$[$3<Hz6!#:$"1C$fL`twy)!#77$$"2['\'\G**p="!#:$"0z<x(eB()))!#67$$"2v^<vbQ_>"!#:$"0EQY'[,%**)!#67$$"2N*Q*Q*)fM?"!#:$"1lf$))=:45*!#77$$"2;^6:.R3@"!#:$"0)>%z@hr>*!#67$$"2C:_@:!e>7!#:$"1slY"HH:J*!#77$$"2nbclJ%*oA"!#:$"0X(3z4_2%*!#67$$"2JPtL0\aB"!#:$"11<0?%G,_*!#77$$"22#4#4s8OC"!#:$"1\_#yRKzi*!#77$$"1<l^'z.4D"!#9$"1%pc!=vXC(*!#77$$"2&o*o*[A5f7!#:$"0n">$e3L$)*!#67$$"1'3'3Y]Nn7!#9$"1_PVY_>V**!#77$$"2$*4*4>'obF"!#:$"2M.yas'G05!#77$$"2Gp#p_O=$G"!#:$"2bWRSo"[:5!#77$$"2#**))*)y&o5H"!#:$"2_vkK&[1E5!#77$$"23'3'3=B#*H"!#:$"2QCTKEQq."!#77$$"164"4j^tI"!#9$"2rQDuf/![5!#77$$"22!4!4u7dJ"!#:$"28dxRd8$f5!#77$$"1J686s2B8!#9$"2GY'zX#)Hp5!#77$$"2.MS.'yOJ8!#:$"10QB9Zc!3"!#67$$"2;v^<b#pR8!#:$"2Q7Q)HZ!>4"!#77$$"2VXaW$\rZ8!#:$"2ZoC"*HeG5"!#77$$"2m]1l-+]N"!#:$"1KRuUj#G6"!#67$$"2ae&e0Fmj8!#:$"1eG2'*\qC6!#67$$"1^50J6+r8!#9$"2<ovc<*yM6!#77$$"2[UCWYP&z8!#:$"2)R"32lVl9"!#77$$"2i)e)ec$4(Q"!#:$"1&p_$*fpp:"!#67$$"2owmn!QQ&R"!#:$"2Qf7'o4Vo6!#77$$"2pbcl2yKS"!#:$"2*o!H6Em$z6!#77$$"1>*=*=\^69!#9$"2'4m"Rz(z!>"!#77$$"26Zr9"*y!>9!#:$"2/e(3'e98?"!#77$$"2'*H*H*pPsU"!#:$"2,O*Rf$yE@"!#77$$"2t'o'oQ7dV"!#:$"2_'RVfN]C7!#77$$"2uI2ti*3V9!#:$"2W$y%3x9[B"!#77$$"2%*3*3\s0^9!#:$"27T^G$)ofC"!#77$$"2=-A?e)Gf9!#:$"2YEF([3^d7!#77$$"2dT:aLTtY"!#:$"2s*[\F/#)o7!#77$$"2")Q)Q)yK^Z"!#:$"2*Gf(\Zz(z7!#77$$"2#3&3&oQy$["!#:$"2UQWV.m>H"!#77$$"1p(o([sb"\"!#9$"2sn'QMA$HI"!#77$$"2>R"R"*p&)*\"!#:$"1Vc[Hsl98!#67$$"2;z"z"zxt]"!#:$"2'H1ndeHD8!#77$$"2K8LJ,+c^"!#:$"2nh4OZTpL"!#77$$"2CkUE[OL_"!#:$"2aA"pPF"zM"!#77$$"1UCWALUJ:!#9$"2,\\1`%Rf8!#77$$"2l['['oH$R:!#:$"2fv;*4Jjq8!#77$$"2s"p"p"pgZ:!#:$"1N_i^@T#Q"!#67$$"2Mf$ft)ybb"!#:$"2n`2(H"pPR"!#77$$"24r52NJPc"!#:$"2*\$e+K&R09!#77$$"24?,7K;=d"!#:$"138Qkn$pT"!#67$$"2&4%4%pbCz:!#:$"2`)z*G%=bF9!#77$$"2lCYiKgxe"!#:$"2h7o;#)G(R9!#77$$"2iEmi-w`f"!#:$"2'*==fYH1X"!#77$$"23"4"4&f\.;!#:$"2sgJi7hAY"!#77$$"1v[([vn7h"!#9$"2(Rd#Gk-MZ"!#77$$"1%Q%QWt*)>;!#9$"1l$G#*4$y&["!#67$$"1:["[$*pti"!#9$"2xC2P16l\"!#77$$"2=z"z"R^ej"!#:$"2&e9T(>&p3:!#77$$"1z!z!>8eV;!#9$"2B@,"ok!)>:!#77$$"1DZsWm._;!#9$"2Yba$*Hn>`"!#77$$"2/!3!3;K$f;!#:$"1$4zdOlCa"!#67$$"1A?--4kn;!#9$"2YD8p&pUa:!#77$$"1ce&etmcn"!#9$"2wO(Hdj)fc"!#77$$"2kg1mK(o$o"!#:$"2J.rXrUvd"!#77$$"280^5Ty;p"!#:$"2CMGqbg!*e"!#77$$"2:],:Mb$*p"!#:$"23LQ&4*G,g"!#77$$"2oiEmIawq"!#:$"1:.(HC(47;!#67$$"1U@9AQc:<!#9$"2kUN')\1Ni"!#77$$"2XxuZ@))Qs"!#:$"2.BOrQ;bj"!#77$$"2WnuYzB9t"!#:$"1NTq8(*QY;!#67$$"1T69@?vR<!#9$"29db^"zSe;!#77$$"20&3&3,Hxu"!#:$"1U#*>$*)>*p;!#67$$"1WVM%e'ob<!#9$"2a*>&o)RS"o"!#77$$"1,2q+$)*Rw"!#9$"2t"3H(z)R$p"!#77$$"1&*[*[p`;x"!#9$"1Qu'=mXWq"!#67$$"2_q0d'Q\z<!#:$"20qh!>zv:<!#77$$"2c'e'eM]")y"!#:$"2yip?*fCG<!#77$$"2$*f*fz!))fz"!#:$"2(\2x61bR<!#77$$"0VI/j.S!=!#8$"1">&\X*36v"!#67$$"2#f"f"R_:7=!#:$"2;pBl6gGw"!#77$$"1MQ$Q:['>=!#9$"2kGt!3$eOx"!#77$$"2xBQ#e`jF=!#:$"2$R1#Hwk^y"!#77$$"2M_BNwhb$=!#:$"2K0nj,zlz"!#77$$"2ON`LbSS%=!#:$"2VLU"*4$y3=!#77$$"2%y!y!=F_^=!#:$"1eB$**RZ&>=!#67$$"1VH%Heb,'=!#9$"20t!o([g>$=!#77$$"1=z"z2Yz'=!#9$"2yekwrbJ%=!#77$$"2_[&[lVlv=!#:$"2'**f"R<EU&=!#77$$"1J4$4DVR)=!#9$"1&e6rgAh'=!#67$$"2jiEmmlA*=!#:$"23I2rVe!y=!#77$$"2DjKE$y$)**=!#:$"2e"QX?-"*))=!#77$$"2ndwl8zy!>!#:$"1Z8)yXD/!>!#67$$"2KI.LmEd">!#:$"1(*yJJRl6>!#67$$"2b1l]YLU#>!#:$"2ai.b$["Q#>!#77$$"2QtLP@%fJ>!#:$"2BBa+$yKM>!#77$$"23="=,$[+%>!#:$"0)pDA4RY>!#57$$"2v#y#ye&*z%>!#:$"2XE(*)*>>x&>!#77$$"1_BN7h'e&>!#9$"1h`\Wk#*o>!#67$$"1Qz$z*Guj>!#9$"2%p4@r08!)>!#77$$"22kS1sw<(>!#:$"29saK>X:*>!#77$$"2y6="QCH!)>!#:$"2xvL?wHO+#!#77$$"2t:dr^+"))>!#:$"1p;P5jp9?!#67$$"1uPx$43e*>!#9$"2A5I%)*pgD?!#77$$"2jKEjOZS+#!#:$"22++R6bs.#!#77$$"2Fq-FqoA,#!#:$"2%>`tr;')[?!#77$$"0K?.%yk>?!#8$"20F#HM]Ef?!#77$$"1h4'4'*)QG?!#9$"2Zv&>K1dr?!#77$$"2_Ol`7.d.#!#:$"17()p1?&=3#!#67$$"2;=#=iyDW?!#:$"1evND*eQ4#!#67$$"0tH(HDU_?!#8$"1#**o`W*H0@!#67$$"2bKD`g7(f?!#:$"2l*)fgU)\:@!#77$$"2xxxx06z1#!#:$"2WOjbp\p7#!#77$$"1&*[*[&Q;w?!#9$"2(>&[0`c%Q@!#77$$"2y!z!zUxV3#!#:$"1@Tm))y))\@!#67$$"28],:Y#*>4#!#:$"2t8G$RsYg@!#77$$"2yq2xQx)*4#!#:$"2'=UiU=Sr@!#77$$"0np'*)>.3@!#8$"2m<gV&))o#=#!#77$$"2-s>(R/;;@!#:$"21BN"Qt"R>#!#77$$"0r4(\:_C@!#8$"2N)>I>MW0A!#77$$"2'R*R*>g)=8#!#:$"1*Q#pw^d:A!#67$$"1\"\"pm<S@!#9$"2&HIyfx&pA#!#77$$"1h0cg8][@!#9$"23Xa"[;OQA!#77$$"2GEjKuBl:#!#:$"1^gv'yE$\A!#67$$"1:`JN)3Q;#!#9$"2`0LG$GEfA!#77$$"2YR%R9:Zs@!#:$"2O+PIy]5F#!#77$$"2-')f)R*4)z@!#:$"1>8PqL,"G#!#67$$"2EBLKFY$)=#!#:$"1QCEbZd#H#!#67$$"2Zp%puB!f>#!#:$"2KqB5W$y-B!#77$$"1wbd:E>/A!#9$"2$y5#yOcRJ#!#77$$"2aOl`)o37A!#:$"1%[8$)HoXK#!#67$$"1GxsFPK?A!#9$"2-\4Yz6cL#!#77$$"2.G!G?x)yA#!#:$"2O&)G]pEdM#!#77$$"13"3"3l/OA!#9$"1$G@833mN#!#67$$"2envc>@XC#!#:$"2D$zn*[yyO#!#77$$"1;h6O%)*=D#!#9$"2ki67=iwP#!#77$$"1)*y*y0m)fA!#9$"2vBm!3**>)Q#!#77$$"2.$3$3R(4oA!#:$"0w7$oV0*R#!#57$$"2NACU9]hF#!#:$"2<)>?G8k4C!#77$$"2u>(>(fTRG#!#:$"27j$*H:a)>C!#77$$"2uJ<tn#f#H#!#:$"1w*oM%z:JC!#67$$"2vdxv0m.I#!#:$"1)*RhuAGTC!#67$$"2/?+-!em3B!#:$"1\`a\v0_C!#67$$"23g+1g'=;B!#:$"1=vgS-zhC!#67$$"2<%>%>#)3WK#!#:$"1mY%>4'RsC!#67$$"1^9X"HX@L#!#9$"2Z6e7'>M#[#!#77$$"27D^78K-M#!#:$"1')41]Jq#\#!#67$$"1&H&H&\Q"[B!#9$"1F#Q#Rzz-D!#67$$"1DdsDdTcB!#9$"2w$Rp#[GL^#!#77$$"2ES-Co(QkB!#:$"1/pCOOVBD!#67$$"2%>&>&f,asB!#:$"2_%)=DbHP`#!#77$$"0,5+8D1Q#!#8$"2%[A.-<!Ra#!#77$$"1=#=#yV0)Q#!#9$"2`))p2h9Kb#!#77$$"1b]0N"plR#!#9$"1C">CTZQc#!#67$$"2Z2v]$[=/C!#:$"1z.%\5?Ld#!#67$$"2$>(>(fZI7C!#:$"12$\:d!Q$e#!#67$$"2Mo$ojl2?C!#:$"2d+59=rHf#!#77$$"2L>$>`hqGC!#:$"1&[o$4cd.E!#67$$"2MiBOuyhV#!#:$"2`_$y-)>Fh#!#77$$"2.g+1?gYW#!#:$"2`ed%oZ0BE!#77$$"1))y)y7!R_C!#9$"2:iK7'HVKE!#77$$"1MN``a%3Y#!#9$"2(H8q<fkUE!#77$$"2(4'4'p49oC!#:$"1sXO+&>9l#!#67$$"20$3$3r\kZ#!#:$"19c/!pn8m#!#67$$"1lYmWbZ%[#!#9$"2L9CoFK4n#!#77$$"2cT:a8'\#\#!#:$"2MPq*pgW!o#!#77$$"2)f)f)>s[+D!#:$"2E2P^4!))*o#!#77$$"0J5.:k"3D!#8$"1X;&pq+*)p#!#67$$"2`VNa6jk^#!#:$"2DXO`%[g3F!#77$$"27&4&4jsV_#!#:$"2(e<0'H2yr#!#77$$"1$e$eBqpKD!#9$"1)G'o>JWFF!#67$$"2O[$[.EBSD!#:$"2M>+Sz@ht#!#77$$"2.&*\*H3c[D!#:$"2v8l$QTmXF!#77$$"1f'f'>y`cD!#9$"2QD4H5bZv#!#77$$"2K:`JR&\kD!#:$"2;@vouvPw#!#77$$"2'4&4&4r!Gd#!#:$"2YiUV$f9tF!#77$$"2Mq.P]i/e#!#:$"29$[hO)G<y#!#77$$"2X^9Xn-$)e#!#:$"2i2>_Nr/z#!#77$$"1uYna"fpf#!#9$"2A[iKqn+!G!#77$$"2&3%3%))oz/E!#:$"1HZ&)H[q3G!#67$$"2%R#R#RC"Gh#!#:$"22N?%>n[<G!#77$$"2y'z'z/k4i#!#:$"1)>a")3kj#G!#67$$"2DkUE'pXGE!#:$"2'H=^<gZMG!#77$$"1Zq/nTWOE!#9$"2%RiLy=2VG!#77$$"1KBLs0PWE!#9$"1"3')ph\:&G!#67$$"1i@;i$\Gl#!#9$"2(\,GE&f0'G!#77$$"1()o)o_J.m#!#9$"2(flR!ff%oG!#77$$"2:v^<Rk*oE!#:$"1aIa>\^xG!#67$$"2tsEn)[vwE!#:$"1(e0cEJc)G!#67$$"2PH%HuJY%o#!#:$"2<k[Cz4O*G!#77$$"1R(R(f?v#p#!#9$"2&e!p#p38-H!#77$$"2cVNaZu5q#!#:$"2x;Qu*\i5H!#77$$"1T9WTmk3F!#9$"21x@)o%*H=H!#77$$"2_Q&QXzo;F!#:$"2[%ym)o#REH!#77$$"2C67@ZNXs#!#:$"1.U`$3MU$H!#67$$"1uQ(QFUIt#!#9$"1BG;L.nUH!#67$$"2BaUD-./u#!#:$"2=&[n\f"*\H!#77$$"0***)*4r&)[F!#8$"2;*Gq!Qv"eH!#77$$"2ojOmR/ov#!#:$"2MxbjLye'H!#77$$"21;h6#\nkF!#:$"1F.`DyWtH!#67$$"2kuYnq^Dx#!#:$"29Xxn-k4)H!#77$$"0X\%Hbe!y#!#8$"2C6[&z%o&))H!#77$$"1Fp#pC,"*y#!#9$"2x*4!zhgl*H!#77$$"2l'f'fK4pz#!#:$"2.)o&)Gi#Q+$!#77$$"2Ee#e-ph/G!#:$"/deB$R4,$!"*7$$"1N^8vh&G"G!#9$"2YJ]ezx%=I!#77$$"27^6:^x5#G!#:$"19#Hv2Kf-$!#67$$"2(G"H"\mXGG!#:$"2v]8$\YcKI!#77$$"2&p(p(px>PG!#:$"2mY9sw\./$!#77$$"2P<uT$>^WG!#:$"282td&Q!o/$!#77$$"1"*4*4nmI&G!#9$"2Gq]>f#GaI!#77$$"1R&Q&Q8BhG!#9$"1_QNr$\81$!#67$$"1MT899_oG!#9$"1)o'z!=+w1$!#67$$"2ie'em)>n(G!#:$"2=1D1#HcuI!#77$$"2Pq.Pms\)G!#:$"2[*>#es*\"3$!#77$$"2jr;nB'=$*G!#:$"19%)3E7L)3$!#67$$"0J5.F,3!H!#8$"1\.fy**f%4$!#67$$"2j^;l>'o3H!#:$"2%oD[DY-,J!#77$$"2&y%y%)zSo"H!#:$"1R[*>e(f2J!#67$$"2(G&G&[#p\#H!#:$"2cNP@owS6$!#77$$"1>&=&e.LLH!#9$"1DE+!*[m?J!#67$$"2)[([(G[pSH!#:$"2Y<5cA.k7$!#77$$"2u&z&zZ&)*[H!#:$"2CL*[(Q!zKJ!#77$$"2%p$p$p,JdH!#:$"2wq0ViD"RJ!#77$$"1s?2_DLlH!#9$"2)GV+%>c^9$!#77$$"2O7CTk<E(H!#:$"2&>')=v'o0:$!#77$$"1.K?B.G")H!#9$"2Q=aU,Dp:$!#77$$"2(o'o'[(='))H!#:$"2(yXmf:CiJ!#77$$"1U?/#3br*H!#9$"1D>(Q%oMoJ!#67$$"2K].N=6Z+$!#:$"1Bqj5'zO<$!#67$$"2YQ%QC9+8I!#:$"1w(e3"GXzJ!#67$$"2Z<uTp&*3-$!#:$"2W/Q"GU([=$!#77$$"2n`Ol`K"HI!#:$"2%4WFE8X!>$!#77$$"1*3*3HlpOI!#9$"1/zj83]&>$!#67$$"2m"p"pJb[/$!#:$"2P\k^dp3?$!#77$$"2V[%[/+L`I!#:$"1[ra)=gj?$!#67$$"2X#\#\C221$!#:$"2Fir%zz16K!#77$$"2kq1n'[noI!#:$"22%HQ&*p2;K!#77$$"2&R'R'*>1p2$!#:$"2XFG^$*o6A$!#77$$"2F.LI&*e\3$!#:$"2G#e58%ogA$!#77$$"11g+1/v#4$!#9$"1/\$\DJ2B$!#67$$"1Eh7'[,95$!#9$"1sCv>&=eB$!#67$$"1'Q'Qm[<4J!#9$"2$e(=VO3.C$!#77$$"14!4!4YZ<J!#9$"1mPuwn,XK!#67$$"2$4%4%4a*\7$!#:$"1Nt;Rm?\K!#67$$"1^2vIw@LJ!#9$"0N7(yLq`K!#57$$"0Eg-5a49$!#8$"2j.:E*R&yD$!#77$$"2)f+1S4/\J!#:$"07=&)p3@E$!#57$$"2V5/TIZp:$!#:$"2/.(z*3&=mK!#77$$"2U`MX`C_;$!#:$"1;)zB(QOqK!#67$$"167@"\'>tJ!#9$"2B3jH:-VF$!#77$$"1G$G$o*[8=$!#9$"2&3(H#[9CyK!#77$$"2'=)=)QRV*=$!#:$"13upw&f?G$!#67$$"2l-Fq=jo>$!#:$"1F'Q*p)*[&G$!#67$$"1kQ'Q%zP0K!#9$"19=x'yG$*G$!#67$$"1%)Q)Qk$*H@$!#9$"1*\>k7yEH$!#67$$"2&G&G&oN6@K!#:$"1wMPA6;'H$!#67$$"1#\#\s`))GK!#9$"2ags'z"4%*H$!#77$$"1-?+i\^PK!#9$"1$f#Hsq"HI$!#67$$"1KCV_v)\C$!#9$"1*Q8mKqeI$!#67$$"14%4%4!pMD$!#9$"2Y1Mt%p74L!#77$$"1(p'pO*)>hK!#9$"1i%3^B1?J$!#67$$"2EMUBEa'pK!#:$"2N@S4De]J$!#77$$"1>%=%y(\pF$!#9$"2l-ScN4wJ$!#77$$"1R'R'>&e_G$!#9$"1=E^`9U?L!#67$$"1uMZ`VG$H$!#9$"1Y#*pgH/BL!#67$$"1CUAW\I,L!#9$"1'=9j:pbK$!#67$$"1o'o'GgH4L!#9$"1N@nAD*zK$!#67$$"1>">"fH(pJ$!#9$"2%=m\TABIL!#77$$"1WUCC>FDL!#9$"0hb=_bDL$!#57$$"0wf(R9=LL!#8$"1htz;YnML!#67$$"1#R#RKe]TL!#9$"1AKXNS!oL$!#67$$"1$H#H79/\L!#9$"1^3"Q0U'QL!#67$$"1f(e(Q'ptN$!#9$"14iDPQdSL!#67$$"1o%o%GmMlL!#9$"1*o#yOcKUL!#67$$"2C'>'>?/LP$!#:$"18AY]m(RM$!#67$$"1=$=$=fh"Q$!#9$"2DD1.p(fXL!#77$$"17D^78F*Q$!#9$"1j@*fv'*pM$!#67$$"1CLK$[6rR$!#9$"2w!e7RdL[L!#77$$"2M[$[jzw0M!#:$"1mp3wKq\L!#67$$"1<s@(p0OT$!#9$"1U3D:1%3N$!#67$$"2'[![![7i@M!#:$"1ovdMT!>N$!#67$$"1xnxcGxHM!#9$"1&[)[*)=)GN$!#67$$"1^9XrdEPM!#9$"1Aw'y&yo`L!#67$$"1ce&e(HDXM!#9$"1E(f`n[WN$!#67$$"2/9T6QzJX$!#:$"1%)=8NH5bL!#67$$"1r4(4<e;Y$!#9$"1A0VQ6pbL!#67$$"2ap&pN.9pM!#:$"2uc&)[*Q6cL!#77$$"1h0c+KxxM!#9$"0uS"R*)[cL!#57$$"1Ob`&pjb[$!#9$"1Y]lJKscL!#67$$"1.J5$)>F$\$!#9$"2l@1QMdoN$!#77$$"1[&[&o3c,N!#9$"1Q;#eh#*oN$!#67$$"1XUC%G$))4N!#9$"2M(p"4#R"oN$!#77$$"2&\-D]aX<N!#:$"0o`(>DkcL!#57$$"2W>%>an\DN!#:$"2k$[0=fNcL!#77$$"1@4#4GWL`$!#9$"1krB->(fN$!#67$$"2Do#o#3^=a$!#:$"1XPD%pQaN$!#67$$"1^8NJ=@\N!#9$"2&>H()>(y[N$!#77$$"2&)z)z=fmdN!#:$"1#[vs=ATN$!#67$$"1XaW0KhlN!#9$"1buh#)**H`L!#67$$"0(*p*HP[tN!#8$"1m'R^?zBN$!#67$$"1bbb:0O"e$!#9$"1p0[46N^L!#67$$"2%e#e#QVR*e$!#:$"1*H;:?#>]L!#67$$"2ctNd05zf$!#:$"/BZ4;%)[L!"*7$$"1vZxM"=dg$!#9$"2M4+@F#\ZL!#77$$"1"R"R6dU8O!#9$"205ZlsbgM$!#77$$"1WR%R)\m@O!#9$"1(HBcp/WM$!#67$$"2/K?.K'))HO!#:$"14Qd**yjUL!#67$$"1Pz$zXlsj$!#9$"1Pk;I,&4M$!#67$$"1y&y&yl+YO!#9$"1@8^(\D)QL!#67$$"1$)H)Hu?Ll$!#9$"2CNS%3G%pL$!#77$$"2%*z*zza(=m$!#:$"08$40!>YL$!#57$$"1[tMZ,/qO!#9$"1Kc/"=yAL$!#67$$"2E%H%HAItn$!#:$"1sXKzh3IL!#67$$"2bR&Rv'Gbo$!#:$"1(y7op0vK$!#67$$"18D^s9y$p$!#9$"2&HBxtUyCL!#77$$"1Db_X]*>q$!#9$"0Wf5!>&>K$!#57$$"1>">"z+h4P!#9$"13Y8l]@>L!#67$$"2bKD`+&\<P!#:$"2ML[^OoiJ$!#77$$"1(G(G2'\cs$!#9$"1hPX4'*48L!#67$$"1QtLd!yPt$!#9$"0HSFz<)4L!#57$$"1GtKn"R@u$!#9$"1C!)Q\JJ1L!#67$$"1dvbPO]\P!#9$"2aMeeb<JI$!#77$$"2mwmnG%zdP!#:$"1T7mgxR*H$!#67$$"2'y"y"y*=hw$!#:$"2MU+;#=`&H$!#77$$"21)3)3OTTx$!#:$"1Y!yTo"o"H$!#67$$"1LH$HXE9y$!#9$"1`">J.z!)G$!#67$$"2C,7?8*3!z$!#:$"2v#H.`Gm$G$!#77$$"1yuZdvU(z$!#9$"1"*R'o!*3)zK!#67$$"2/&3&3*Q'f!Q!#:$"1E^%)z]>vK!#67$$"2DJ7B**>N"Q!#:$"2E=,:F$*4F$!#77$$"1$>$>L-"=#Q!#9$"1<U.haDmK!#67$$"1$)H)H]/(HQ!#9$"2tF6R@>;E$!#77$$"1Y`MX8%z$Q!#9$"2b*)>Ab^mD$!#77$$"2u*y*yL0b%Q!#:$"21EB_5s>D$!#77$$"1EdsDTm`Q!#9$"1>vB/!)zYK!#67$$"2NH$H8)Q@'Q!#:$"1P,N>QGTK!#67$$"1MPt`g^pQ!#9$"1_j$*GtOOK!#67$$"1;b^vO[xQ!#9$"1\+6e_$4B$!#67$$"1[%[%3]r&)Q!#9$"1NB[7(*=DK!#67$$"1T=%=wnP*Q!#9$"2b%\^XoV>K!#77$$"2W"["[@f:!R!#:$"2XF3T%fu8K!#77$$"1N\$\H5-"R!#9$"2ES.l#HG2K!#77$$"2Y>&>vO)z"R!#:$"2_[4omX8?$!#77$$"1=y"yT$GER!#9$"1A%*Qu+([>$!#67$$"1=#=#=U!Q$R!#9$"20hem@!)))=$!#77$$"2&f&f&Rk-UR!#:$"2e>@s\)>#=$!#77$$"1p!p!4Hw\R!#9$"1;02&*RyvJ!#67$$"1p)o)[(\y&R!#9$"2%>%H$Rj%*oJ!#77$$"18H"H6cd'R!#9$"1#p,\sH@;$!#67$$"1VLMVL.uR!#9$"2iR"*R[`[:$!#77$$"2/-?+I0?)R!#:$"28gkJ%)4x9$!#77$$"2l8Prxd,*R!#:$"2lY*\qhESJ!#77$$"1GwiZFC)*R!#9$"1<`o^buKJ!#67$$"1Oe$e*>n0S!#9$"1QFr$y7d7$!#67$$"1tEn_n=9S!#9$"2MsM!3"3v6$!#77$$"2Dp#p_C!=-%!#:$"2c2kOpQ+6$!#77$$"1PtLxB#*HS!#9$"29k7?%z$>5$!#77$$"1,8I"=%pPS!#9$"2d1A4!=0%4$!#77$$"163"3xBj/%!#9$"2c@48lU^3$!#77$$"1T7Chjz`S!#9$"2OO0&)z(HxI!#77$$"1=#=#=yFiS!#9$"2WU\t*oCoI!#77$$"11b]Xx+qS!#9$"1is.`9')fI!#67$$"1_6:rIYyS!#9$"2OtzBYR00$!#77$$"2uAFseed3%!#:$"2N)R"\4qB/$!#77$$"1[%[%Gt1%4%!#9$"1%zA1TBH.$!#67$$"1#G#GiJ4-T!#9$"2X?JAd`O-$!#77$$"2M.LIv8,6%!#:$"1)*4"p8ZU,$!#67$$"2vZxu$[5=T!#:$"2(e?%H+LZ+$!#77$$"1Gz#zw"yDT!#9$"2&y<[w'ea*H!#77$$"1`I0L23MT!#9$"2nJOeV%G&)H!#77$$"1p&o&[-*>9%!#9$"2)f2=COWvH!#77$$"1,7?TYJ]T!#9$"2%ebu(HM\'H!#77$$"1,65@-&y:%!#9$"2_jWkl&GbH!#77$$"1ovcZ%yh;%!#9$"2QJP^<sW%H!#77$$"1xsFPa:uT!#9$"1w!G"em'R$H!#67$$"1r2x5I6#=%!#9$"2&G:#4'=MBH!#77$$"2u7FrsC/>%!#:$"2vA!\G#*37H!#77$$"20K@87!3)>%!#:$"0'zI$e%e,H!#57$$"1K@8#H?f?%!#9$"1B/4Mio!*G!#67$$"1#H#Hsnd9U!#9$"2sg^Q(y[yG!#77$$"2b-Eg]9CA%!#:$"1>wEJJHnG!#67$$"1do&o0I/B%!#9$"2.PvUN'pbG!#77$$"2be&el;eQU!#:$"2$z]$Qo[P%G!#77$$"2&f-E!eugC%!#:$"21>\C**GE$G!#77$$"1lYm%yhSD%!#9$"1F'*H<.j?G!#67$$"0&*\**=))>E%!#8$"2i)H6MTd3G!#77$$"0yz(zpYqU!#8$"2u(>!*)48bz#!#77$$"1/X]W"\zF%!#9$"2u!zqwa%Qy#!#77$$"1p$p$4?e'G%!#9$"1<By4x@qF!#67$$"1XVM/DP%H%!#9$"1"\@"znwdF!#67$$"2:">">z!3-V!#:$"20D(H"*RIXF!#77$$"1dtNx'p.J%!#9$"0&y25IuJF!#57$$"1`I0$4#p=V!#9$"2nC_3Pgzr#!#77$$"1f!f!fUEEV!#9$"232el`u_q#!#77$$"1.I+jbIMV!#9$"20&3N4.l"p#!#77$$"0tH(*3`@M%!#8$"12`t]D?yE!#67$$"1#\"\"*)f1N%!#9$"1>\3#3bMm#!#67$$"0;g,k?!eV!#8$"2='p&RI^0l#!#77$$"12wgFZZmV!#9$"2.G$G0lcNE!#77$$"2XDaU,AWP%!#:$"2%Q3*>I>8i#!#77$$"2%y(y(QDH#Q%!#:$"11>jYd02E!#67$$"1kVOC$p,R%!#9$"2x%)GE)pi#f#!#77$$"1oq1ZJ?)R%!#9$"2&3yYA:vxD!#77$$"1WXak)=nS%!#9$"2`>c+!z!=c#!#77$$"1%e$eVp_9W!#9$"2b$)4MgHqa#!#77$$"/-??XBAW!#7$"1JGiq8HKD!#67$$"2Ev_Fzt/V%!#:$"2OZFl(4P;D!#77$$"08H"H^pQW!#8$"2(Hw<,VJ+D!#77$$"1YnumU2YW!#9$"2')ef,kcd[#!#77$$"1(Q(Q(Q:[X%!#9$"2Y%[R')HLoC!#77$$"2:z"z^&H@Y%!#:$"1#34!GSg`C!#67$$"13'3')G%oqW!#9$"0P$4GL?OC!#57$$"1ch:c*[)yW!#9$"2F'GvP5U>C!#77$$"1_<vJ!Rh[%!#9$"2n2_\e"H/C!#77$$"1.U?%[PV\%!#9$"222Nu=8rQ#!#77$$"1A8K"G!f-X!#9$"2.03xLX'pB!#77$$"1MVLaQ!3^%!#9$"2os&)o2&3_B!#77$$"2w#z#z))=%=X!#:$"2;WpAmZcL#!#77$$"1MT89QIEX!#9$"2//I\Ao%=B!#77$$"1'4'4;%eW`%!#9$"1oa/+,`+B!#67$$"2l9Yh'oeUX!#:$"1jDDLeZ#G#!#67$$"1Oh8wz%4b%!#9$"2(3nwgLsjA!#77$$"2lOmjW7$eX!#:$"27VX2L`qC#!#77$$"1wbd&4.mc%!#9$"2KG2E/:"GA!#77$$"1()p)pyF\d%!#9$"1CrM.a"*3A!#67$$"0p*op,&He%!#8$"0t&e?%Q->#!#57$$"1T<uh_B!f%!#9$"1%=L*p!HJ<#!#67$$"1@3#3%z*))f%!#9$"2Dw"oi%*f_@!#77$$"2lG'GmjB1Y!#:$"2C3y_d]]8#!#77$$"1f'f'*psZh%!#9$"2%p0\EYX9@!#77$$"1@67,)GBi%!#9$"22rCpefg4#!#77$$"2;+-?/>1j%!#:$"2(Gfl"[*pv?!#77$$"1#z"z6L^QY!#9$"28rT*=%Qh0#!#77$$"1bT:a,vYY!#9$"2ZZadjZb.#!#77$$"11nqYTJaY!#9$"1_M4LdZ;?!#67$$"2W`MX$HZiY!#:$"2))))[=`Gd*>!#77$$"1-@5Aw%4n%!#9$"0V&RXX)R(>!#57$$"2:aUD'[KyY!#:$"1WV"HR&*[&>!#67$$"1DVK%[#H'o%!#9$"2u3c&f)4T$>!#77$$"1dsD<Q_%p%!#9$"1pMoj=X7>!#67$$"20l]1dwDq%!#:$"2x(yt)y"3"*=!#77$$"1BOiB!o.r%!#9$"2FFAQQL-(=!#77$$"2WuVP5>!>Z!#:$"1#HIqK')o%=!#67$$"1/S+%[#zEZ!#9$"2bq%RX$Hd#=!#77$$"1FmiEA4NZ!#9$"1X3z0E&H!=!#67$$"2k-Fq-8Eu%!#:$"1s)*QOh9#y"!#67$$"1o$o$[_$3v%!#9$"2Etz2h;#f<!#77$$"1yy(yrr&eZ!#9$"1"3L>8nut"!#67$$"1xwnd&emw%!#9$"2`T.eB^Xr"!#77$$"1A<s@\cuZ!#9$"1T2'y+n>p"!#67$$"1_@:_@%Gy%!#9$"2a?P3[K"o;!#77$$"1H)G)3T"3z%!#9$"1))*f,(=*\k"!#67$$"1Xf%fem*)z%!#9$"2#\mj#))Q6i"!#77$$"1PkVc:02[!#9$"2()\/.z%H(f"!#77$$"1WYk/3[9[!#9$"2ru+a^=_d"!#77$$"1"["[hb*H#[!#9$"2&zj^R0s\:!#77$$"1,:]h7hI[!#9$"2xj#)*pptE:!#77$$"2b9Yh=J(Q[!#:$"2LLvP>Y?]"!#77$$"2/65,*H]Y[!#:$"2R"pY3UBy9!#77$$"2&>'>'zD8b[!#:$"2T)os4ve^9!#77$$"00]+<0E'[!#8$"0)zw"QP$G9!#57$$"1Eq-Fm3r[!#9$"2e>7=y\<S"!#77$$"1:VJal")y[!#9$"2yaF$yPLx8!#77$$"2'f*f*z=F()[!#:$"29UG`rC/N"!#77$$"1Pg.'RnX*[!#9$"22(\\")o.F8!#77$$"2vDds8wG!\!#:$"2"pYoC(3-I"!#77$$"294"4r>!4"\!#:$"1X&GZF*4u7!#67$$"1U=%=cA*=\!#9$"1Q$p]<:yC"!#67$$"1'G'GYO"p#\!#9$"2.Pb#*pO9A"!#77$$"1Pntw0fM\!#9$"26l:_<:f>"!#77$$"1i='=a*)G%\!#9$"2o4(e]n7o6!#77$$"1ytPd!*z]\!#9$"2@[5:[\99"!#77$$"0,5+XB"f\!#8$"2[#=()p!pJ6"!#77$$"0"*4*H!fm'\!#8$"2`25_w(Q(3"!#77$$"1xjPcs)\(\!#9$"2'ypJ:Vpe5!#77$$"1&3'3YU'H)\!#9$"2B%RDIL,J5!#77$$"0ez&>=#4*\!#8$"1%oh:a1K+"!#67$$"1Of$f`L#**\!#9$"1&yI?7d&R(*!#77$$"08I,$*))o+&!#8$"0\2(=[Fo%*!#67$$"2:%4%45HZ,&!#:$"1)[9U.!e)=*!#77$$"1,65"e&QB]!#9$"1<$\')fmv())!#77$$"1M[$[JB7.&!#9$"1ye87a(Rf)!#77$$"2kmlc')Q#R]!#:$"1PGA=a)>I)!#77$$"1&R%Ru/RZ]!#9$"1m]-Xj*H+)!#77$$"1p!p!*Q$)[0&!#9$"0j]c%eMEx!#67$$"1uMZ$fqG1&!#9$"1'pWYn>&Hu!#77$$"1f(e()*pzq]!#9$"1m"zBx$)H8(!#77$$"1*e)e)yv#z]!#9$"1G/.5dg8o!#77$$"2CJ8L&zv'3&!#:$"/6s"*\*)Hl!#57$$"2%y"y"=3R&4&!#:$"1*4jx%RO+i!#77$$"2O:`JJ"=.^!#:$"1DX882(4!f!#77$$"1@2s+'*)36&!#9$"1.FI#)*[Gg&!#77$$"1mh;'[y">^!#9$"11AY`@<!G&!#77$$"1i='=!4]F^!#9$"1j^_0^*R&\!#77$$"1ny'y1t]8&!#9$"0sMa#oIbY!#67$$"17="=P9J9&!#9$"1GTke-6OV!#77$$"1R&Q&)*='4:&!#9$"0jrL#>hAS!#67$$"/.I+(o%f^!#7$"2Lu['*fY0o$!#87$$"2'o*o*[%Ho;&!#:$"1(3bBl)o#Q$!#77$$"2cT;k`$Gv^!#:$"1e"[.)\VQI!#77$$"1jI1B3B$=&!#9$"1AX%yd9Fr#!#77$$"2we(eZ85">&!#:$"1@d:Lh7)Q#!#77$$"2M<tJ8y*)>&!#:$"2&e"3`4o71#!#87$$"1we(e&>,2_!#9$"2Kr6r0;es"!#87$$"2EN`LnFb@&!#:$"2m67'Hl%zO"!#87$$"1$R#R_dLB_!#9$"1tj%4'QtP5!#77$$"14!4!HL/J_!#9$"1u@97>9)4(!#87$$"1h:c,EGR_!#9$"2&[v8(=!=rN!#97$$"1Qz$z$R]Z_!#9$"1%)G2#\cW'H!#:7$$"1cbbvI)[D&!#9$!1k;&)Rd1oJ!#87$$"1'>'>'>COE&!#9$!1"HVEGg#zp!#87$$"/1gg$Q4F&!#7$!2'4@7AKx=5!#87$$"1=uT(4$\z_!#9$!2db+uv#H'R"!#87$$"1l\'\wdwG&!#9$!2()Gf@&*o)e<!#87$$"0cg0%y%\H&!#8$!20qA,R%[%3#!#87$$"18I,$HYJI&!#9$!1mc*>W%z_C!#77$$"1J,8!4*R6`!#9$!2'GJi!>>e#G!#87$$"2E9VJm7'>`!#:$!2c'>CJ3M*>$!#87$$"1Ont'pFsK&!#9$!2W?mpmqwa$!#87$$"2E%H%Hi7^L&!#:$!2W"yj=jS5R!#87$$"10\!\AnKM&!#9$!2l4:#Hyv(G%!#87$$"1b\&\n&R^`!#9$!0(H<I.9mY!#67$$"1X\%\yc(f`!#9$!20"z_DJpd]!#87$$"1v^<b77n`!#9$!10/?kGa/a!#77$$"1%Q%Q/>Tv`!#9$!207SO.Esz&!#87$$"1'z&z&fOPQ&!#9$!1(ec9n%)Q>'!#77$$"1)\)\y*e<R&!#9$!/4kMVQyl!#57$$"21b]02W!*R&!#:$!2:m21^g%Hp!#87$$"2%H'H'\nq2a!#:$!1@y!\$**H\t!#77$$"1&4&4v^/:a!#9$!1xh%yr#)pq(!#77$$"1p%o%3:eBa!#9$!2bAK)GNRD")!#87$$"2&H*H*4w8Ja!#:$!0lQyziy\)!#67$$"2:"3"3&yURa!#:$!1mcnR'*z3*)!#77$$"/1g?@KZa!#7$!1`7iM*HBI*!#77$$"1kH'H'*ebX&!#9$!1CK8)f__r*!#77$$"1;b^bH7ja!#9$!24+V%RJl45!#77$$"1VLMV<Gra!#9$!2)pGpyO+^5!#77$$"21"4"4Vc(za!#:$!2XW3+Z-U4"!#77$$"29N^8nLr[&!#:$!1#)eGlE,K6!#67$$"2M8LJH,^\&!#:$!18/(p.kI<"!#67$$"1mg1EEL.b!#9$!2MzfzW4d@"!#77$$"1f%f%z`Q6b!#9$!2.&o"RfhwD"!#77$$"1LCVKo<>b!#9$!2.e9EEr%)H"!#77$$"1`Db7z#y_&!#9$!2xKe`6OSM"!#77$$"17G"GH,c`&!#9$!2,0<mV0_Q"!#77$$"1NaVN5!Ra&!#9$!2pVVdY+%H9!#77$$"1Oe$e$=U^b!#9$!1f.LQ/mp9!#67$$"1yr<dSkfb!#9$!1>NI<r!R^"!#67$$"2ko'oE0Qnb!#:$!2xt)[L9wb:!#77$$"1(['[mtYvb!#9$!2NP^([9u*f"!#77$$"21`I0ttLe&!#:$!2OH<!)*y'Hk"!#77$$"20'4'4'4l"f&!#:$!1EUxtRY)o"!#67$$"2ujPw"Hi*f&!#:$!2yAUFg;Dt"!#77$$"1bZv%Rvxg&!#9$!2UA]?D0yx"!#77$$"2cCX_Ogeh&!#:$!2M^OTadH#=!#77$$"1`MX8'*GBc!#9$!2s"))orxlk=!#77$$"0H!HqV!=j&!#8$!2wouav)p7>!#77$$"2&4.Jq+URc!#:$!2eG;8)=*e&>!#77$$"1a\&\**Rvk&!#9$!28#*H!f*y@+#!#77$$"1>*=*)z6`l&!#9$!0K%QM%3n/#!#57$$"1G%G%)QTRm&!#9$!2V(e9*=8k4#!#77$$"1e)e)yRTrc!#9$!2PB!HgdnR@!#77$$"1Oe$eV&*)zc!#9$!1/"pfBH!*=#!#67$$"2O7BJODwo&!#:$!2&\@rD;CMA!#77$$"2'p(o()o!3'p&!#:$!2e?0p#3&RG#!#77$$"1X[%[?wLq&!#9$!1"[387bqK#!#67$$"1mg1Y\o6d!#9$!1EK*4W(QwB!#67$$"/***)z2r>d!#7$!20?+&oZGCC!#77$$"2/l]1PJxs&!#:$!2XE-fc"RsC!#77$$"2Y4&4bCsNd!#:$!20Sz]Ah0_#!#77$$"2baXbQ*RVd!#:$!2<B$**)4jqc#!#77$$"1r1n]$)p^d!#9$!2t^$eqBe<E!#77$$"1(='=mygfd!#9$!0%\!zksfm#!#57$$"2&=)=)eA$zw&!#:$!1[%f[[crr#!#67$$"0s=(QyYvd!#8$!2$4VeckrjF!#77$$"1'=&=lgz$y&!#9$!1li*)yXU:G!#67$$"1%*[*[0t<z&!#9$!2E=JN=*>lG!#77$$"1*Q)QG1t*z&!#9$!2$*y3V9%4:H!#77$$"2WuWZMU!3e!#:$!1mmC&pnu'H!#67$$"1Q*Q*Qxp:e!#9$!1Q4,&QRf,$!#67$$"0v\(4z`Be!#8$!2Ges&*y8e1$!#77$$"0"*4**Q%>Ke!#8$!2&HXc-_:@J!#77$$"1WOkB@.Se!#9$!1KFg"*4^rJ!#67$$"1vWZuw/[e!#9$!2%fJZRTDBK!#77$$"1.K?$G*>ce!#9$!20q+_4IhF$!#77$$"1xy(y>#pje!#9$!0BwC?g\K$!#57$$"2DG#G-%z;(e!#:$!2Y@P3@^sP$!#77$$"2ucnv!egze!#:$!1$z%=s"*QHM!#67$$"2wR(R(f%3))e!#:$!21vd>GJa[$!#77$$"2C7A@wmb*e!#:$!11LTu)=^`$!#67$$"1()p)pi*>/f!#9$!2'[(oD%)>Ff$!#77$$"1i>'>7!*>"f!#9$!1T0YG2&\k$!#67$$"1H&H&4%)p>f!#9$!1#>'3sZ'op$!#67$$"2X(\(\H()z#f!#:$!2wrk]g\Hv$!#77$$"2/nq1r4j$f!#:$!1*otm\L&4Q!#67$$"1wmnw=)Q%f!#9$!1)e")*yQDhQ!#67$$"1@1i!=B>&f!#9$!1Xf4pnU;R!#67$$"1ZtM22xff!#9$!1T(['4q^qR!#67$$"14"4"4vFof!#9$!1hyz3uUHS!#67$$"1xxxd#Qc(f!#9$!2:"H)HVL13%!#77$$"2bAD_M#4%)f!#:$!1%Rh6n6(RT!#67$$"2;(=(=jR?*f!#:$!1vJp'Q3b>%!#67$$"$+'!""$!1@iM#3];D%!#6-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%%VIEWG6$;$!$+#!""$"$+'!"";$!&++%!""$"'++N!""-&%&_AXISG6#"""6#-%+_GRIDLINESG6#%(DEFAULTG-&%&_AXISG6#""#6#-%+_GRIDLINESG6#%(DEFAULTG-%*THICKNESSG6#""$-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$g"!""-%)BOUNDS_YG6#$"#q!""-%-BOUNDS_WIDTHG6#$"%IP!""-%.BOUNDS_HEIGHTG6#$"$S*!""-%)CHILDRENG6"
solve(diff(V(105-2*d,d),d)=0,d);
NiQiIiEiI04=
Der er ekstrema i d = 0 og d = 35 . Den f\303\270rste kan jeg ikke bruge til noget, da det ikke giver mening at lave en cylinder med diameteren nul. Den anden kan jeg nu finde v\303\246rdien af l ud fra, da jeg stadig har bibetingelsen at arbejde ud fra:
solve(l+2*35=105,l);
IiNO
Dette giver mig et volumen p\303\245 f\303\270lgende:
evalf(V(35,35));
JCIrRVkqb04kISIm
Alts\303\245 er volumen p\303\245 V \342\211\210 33568,95 .
L\303\270sning med Lagranges metode:
Jeg kan ogs\303\245 l\303\270se mit problem ved hj\303\246lp af Lagrange's metode, hvorfor jeg lige f\303\270rst skal finde de partielt afledte af f og g , jeg starter dog lige ud med at definere min funktion g :
g:=(l,d)->l+2*d-105;
Zio2JEkibEc2IkkiZEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCg5JCIiIjklIiIjISQwIkYsRiVGJUYl
Diff(V(l,d),l) = diff(V(l,d),l);
Diff(V(l,d),d) = diff(V(l,d),d);
Ly1JJURpZmZHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCwmKihJI1BpR0YmIiIiSSJsR0YoRi1JImRHRigiIiMjRi0iIiUhJDAiRi1GLiwkKiZGLEYtRi9GMEYx
Ly1JJURpZmZHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCwmKihJI1BpR0YmIiIiSSJsR0YoRi1JImRHRigiIiMjRi0iIiUhJDAiRi1GLywkKihGLEYtRi5GLUYvRi0jRi1GMA==
Diff(g(l,d),l) = diff(g(l,d),l);
Diff(g(l,d),d) = diff(g(l,d),d);
Ly1JJURpZmZHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCwoSSJsR0YoIiIiSSJkR0YoIiIjISQwIkYsRitGLA==
Ly1JJURpZmZHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCwoSSJsR0YoIiIiSSJkR0YoIiIjISQwIkYsRi1GLg==
Disse kan jeg nu bruge til at opstille de tre ligninger, f\303\270rst og fremmest at \342\210\207f(l,d) = \316\273 \342\210\207g(l,d) og bibetingelsen og l\303\270se med hensyn til l, d og \316\273 :
solve({1/4*d^2*Pi=lambda*1, 1/2*Pi*l*d=lambda*2,g(l,d)=0},{l,d,lambda});
NiQ8JS9JImRHNiIiIiEvSSdsYW1iZGFHRiZGJy9JImxHRiYiJDAiPCUvRiUiI04vRiksJEkjUGlHJSpwcm90ZWN0ZWRHIyIlRDciIiUvRitGLw==
Og jeg har alts\303\245 her fundet v\303\246rdierne (l,d) = (0,0) og (35,35) ligesom jeg gjorde med elimination, hvorfor jeg vil f\303\245 den samme v\303\246rdi for V .
TTdSMApJNlJUQUJMRV9TQVZFLzE2MzUzODk0MFgqJSlhbnl0aGluZ0c2IjYiW2dsISMlISEhIiMiIywmKiQlInlHIiIjIiIlJSJ4R0YqLCQqJkYsIiIiRilGLyIiKUYm TTdSMApJNlJUQUJMRV9TQVZFLzE2NDAyOTU4NFgqJSlhbnl0aGluZ0c2IjYiW2dsISMlISEhIiMiIywkJSJ4RyIiIywkJSJ5R0YpRiY=