<Text-field style="Heading 1" layout="Heading 1">Overview</Text-field>

Algebraic Riccati equations appear in many linear optimal and robust control methods such as in LQR, LQG, Kalman filter, H2 and 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In Maple 15, the CARE and DARE solvers for continuous and discrete algebraic Riccati equations are enhanced with high-precision solvers that allow you to get solutions beyond IEEE double precision.

One of the main methods in linear optimal control theory is the Linear Quadratic Regulator (LQR) in which a state feedback law is designed to minimize a quadratic cost function. In continuous-time domain, the optimal state feedback gain, K, is calculated such that the quadratic cost function

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

is minimized by the feedback law u = -Kx subject to the system 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

The calculated feedback law stabilizes the closed loop system. That is, for every nonzero initial condition, the states of the closed loop system asymptotically converge to the origin. Q and R are weighting matrices over the states and inputs, respectively, balancing the optimization between the speed of convergence and the required control effort.

The optimal LQR state feedback gain is given as:

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,

where X is the solution of the following continuous-time algebraic Riccati equation (CARE):

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

Similarly, in discrete-time domain, the optimal state feedback gain, K, is calculated such that the quadratic cost function

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

is minimized by the feedback law u[n] = -Kx[n] subject to the system dynamics

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

The optimal LQR state feedback gain is given as:

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,

where X is the solution of the following discrete-time algebraic Riccati equation (DARE):

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

The pair 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 must be stabilizable.

The pair 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 must have no unobservable modes on the imaginary axis in continuous-time domain or on the unit circle in discrete-time domain.

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EiUkYnLyUnZmFtaWx5R1EmQXJpYWxGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1ElJmd0O0YnRi9GNS9GOFEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkIvJSlzdHJldGNoeUdGQi8lKnN5bW1ldHJpY0dGQi8lKGxhcmdlb3BHRkIvJS5tb3ZhYmxlbGltaXRzR0ZCLyUnYWNjZW50R0ZCLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUS1JI21uR0YkNiZRIjBGJ0YvRjVGPkYvRjVGPg== (positive definite) and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2J1EiUUYnLyUnZmFtaWx5R1EmQXJpYWxGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2L1ElJmdlO0YnRi9GNS9GOFEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkIvJSlzdHJldGNoeUdGQi8lKnN5bW1ldHJpY0dGQi8lKGxhcmdlb3BHRkIvJS5tb3ZhYmxlbGltaXRzR0ZCLyUnYWNjZW50R0ZCLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUS1JI21uR0YkNiZRIjBGJ0YvRjVGPkYvRjVGPg== (positive semidefinite).

<Text-field style="Heading 2" layout="Heading 2">Example</Text-field>

This example shows a problem that cannot be solved using IEEE double precision, but can be solved with Maple 15's unlimited precision solvers.

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRL0R5bmFtaWNTeXN0ZW1zRidGL0YyLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRkAtSSNtb0dGJDYtUSI6RidGQC8lJmZlbmNlR0Y/LyUqc2VwYXJhdG9yR0Y/LyUpc3RyZXRjaHlHRj8vJSpzeW1tZXRyaWNHRj8vJShsYXJnZW9wR0Y/LyUubW92YWJsZWxpbWl0c0dGPy8lJ2FjY2VudEdGPy8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlYtRkM2LVEifkYnRkBGRkZIRkpGTEZORlBGUi9GVVEmMC4wZW1GJy9GWEZnbkYrLUY2NiQtRiM2JS1GLDYlUS5MaW5lYXJBbGdlYnJhRidGL0YyRj1GQEZARkJGPUZA

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEsRWlnZW52YWx1ZXNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2JS1GLDYlUSJBRidGL0YyLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRkBGPUZA

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIqT14iKVIi

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

IiIk

The system is not asymptotically stable but the pair (A,B) is controllable. Suppose, the 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

Note that R is not symmetric but it is positive definite. This can be verified as follows:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVErSXNEZWZpbml0ZUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRIlJGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGQEY9RkA=

SSV0cnVlRyUqcHJvdGVjdGVkRw==

The (Q,A) pair is observable:

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

IiIk

The CARE solver is called and the ouput option is set to directly return the LQR gain:

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

Error, (in LinearAlgebra:-CARE) computed dimension of solution does not equal n

An error is returned indicating that the problem can not be solved with the default (double) precision.

This is a fundamental issue. The problem is ill-conditioned and it is not possible to find a solution using IEEE double-precision arithmetic.

If double precision is all you can do, you are now stuck.

Maple 15 allows you to compute these types of problems (as well as any other numeric operation) with any accuracy that you specify!

Let's try again with 30 decimal digits:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEnRGlnaXRzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSMzMEYnRjktRjY2LVEiOkYnRjlGO0Y+RkBGQkZERkZGSEZKRk0vJStleGVjdXRhYmxlR0Y9Rjk=

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEsRWlnZW52YWx1ZXNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2JS1GLDYlUSNBY0YnRi9GMi8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJ0ZALUkjbW9HRiQ2LVEiO0YnRkAvJSZmZW5jZUdGPy8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0Y/LyUqc3ltbWV0cmljR0Y/LyUobGFyZ2VvcEdGPy8lLm1vdmFibGVsaW1pdHNHRj8vJSdhY2NlbnRHRj8vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4yNzc3Nzc4ZW1GJ0Y9RkA=

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIqY1YjKlIi

We get the correct solution!

Increasing the computation precision, the solver successfully finds the LQR gain and the closed loop system is stable (all eigenvalues of the closed loop system have negative real parts).

We are now able to simulate the open-loop and closed-loop response of the system

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

-%%PLOTG6'-%'CURVESG6%7ew7$$""!!""$""#!""7$$"$D"!"$$"0F2MBwI!R!#;7$$"#D!"#$!24rV_(fM!4"!#<7$$"$v$!"$$!2FHg:pb)=C!#<7$$""&!""$!1[#oed!\uN!#;7$$"$D'!"$$!2%*[ZAL<#RX!#<7$$"#v!"#$!1CqRA<)zH&!#;7$$"$v)!"$$!1'*y'=[V*Qe!#;7$$"#5!""$!16r<$3hO:'!#;7$$"%D6!"$$!1lEQjMAPi!#;7$$"$D"!"#$!18-\fmK)3'!#;7$$"%v8!"$$!1xYPcTH4d!#;7$$"#:!""$!1etXH1/1^!#;7$$"%D;!"$$!2%)zu#['zzG%!#<7$$"$v"!"#$!2E,_3ywyE$!#<7$$"%v=!"$$!2ov?7R];1#!#<7$$"#?!""$!1#*z"zQK7)o!#<7$$"%D@!"$$"1L.NYCr7$)!#<7$$"$D#!"#$"2xp-jTBGZ#!#<7$$"%vB!"$$"1Xci.u"4@%!#;7$$"#D!""$"1.v;J3V=g!#;7$$"%DE!"$$"1-bkc!er'y!#;7$$"$v#!"#$"1a&H)4.DG(*!#;7$$"%vG!"$$"1^D'oems:"!#:7$$"#I!""$"2#[x]CB;P8!#;7$$"%DJ!"$$"2^h"4J]q4:!#;7$$"$D$!"#$"2*)*[WNA?s;!#;7$$"%vL!"$$"2EaZHA=@#=!#;7$$"#N!""$"2c(4$[g8r&>!#;7$$"%DO!"$$"2Eu/L#=3v?!#;7$$"$v$!"#$"2<!4uB?=u@!#;7$$"%vQ!"$$"2Vkq1ynGD#!#;7$$"#S!""$"1xYCH7"*4B!#:7$$"%DT!"$$"12qRDAUWB!#:7$$"$D%!"#$"10;tOA'eN#!#:7$$"%vV!"$$"1pZdXF0WB!#:7$$"#X!""$"1G[3N!y"4B!#:7$$"%DY!"$$"2'\PU8By^A!#;7$$"$v%!"#$"1wyq@7ws@!#:7$$"%v[!"$$"2bx2w&yMt?!#;7$$"#]!""$"20xGM`$4b>!#;7$$"%D^!"$$"2Cpy$oN%)>=!#;7$$"$D&!"#$"1:H'G\3(p;!#:7$$"%v`!"$$"2#edf96.2:!#;7$$"#b!""$"2Wy(ff*\VL"!#;7$$"%Dc!"$$"2<:n&f'fV:"!#;7$$"$v&!"#$"0rS$H!*o)p*!#:7$$"%ve!"$$"0G)RigcPy!#:7$$"#g!""$"1A$yk*)p#*)f!#;7$$"%Dh!"$$"1"4u\dUE=%!#;7$$"$D'!"#$"1(p%)H"f(eW#!#;7$$"%vj!"$$"1eB!Qt:21)!#<7$$"#l!""$!1HhCb%==6(!#<7$$"%Dm!"$$!1>'G;63A3#!#;7$$"$v'!"#$!1l4c=Gh&G$!#;7$$"%vo!"$$!1=sTQsh-V!#;7$$"#q!""$!1@nLd8N<^!#;7$$"%Dr!"$$!1rT'=_,rr&!#;7$$"$D(!"#$!1H=XJ)3D4'!#;7$$"%vt!"$$!1K'\.=:xB'!#;7$$"#v!""$!1y^2sYX]h!#;7$$"%Dw!"$$!1#*Qpx*)3Ke!#;7$$"$v(!"#$!0s$R(3'e(G&!#:7$$"%vy!"$$!1>En'yUa_%!#;7$$"#!)!""$!2;<Xo1_vb$!#<7$$"%D")!"$$!2%pf))Qv,*R#!#<7$$"$D)!"#$!2my:mu<z1"!#<7$$"%v$)!"$$"2'ekCH%f(\T!#=7$$"#&)!""$"1<"p'pM_E?!#;7$$"%D')!"$$"2a6QM<x:u$!#<7$$"$v)!"#$"0^S[@uL`&!#:7$$"%v))!"$$"1Cv?+U&RP(!#;7$$"#!*!""$"1Wqf%\&fM#*!#;7$$"%D"*!"$$"21:"HTji36!#;7$$"$D*!"#$"2y^c'Hj+!H"!#;7$$"%v$*!"$$"24,>09pZY"!#;7$$"#&*!""$"2WTF'ew=I;!#;7$$"%D'*!"$$"22suLe!o$y"!#;7$$"$v*!"#$"2C'[&*3F&G#>!#;7$$"%v)*!"$$"2<m[4IKb/#!#;7$$"$+"!""$"1")3M&)\!)\@!#:7$$"&D,"!"$$"2utr<iVSB#!#;7$$"%D5!"#$"2n%e_%pLpH#!#;7$$"&v."!"$$"1PE%\#Q\PB!#:7$$"$0"!""$"1D$=f3"4bB!#:7$$"&D1"!"$$"29+sz(3X\B!#;7$$"%v5!"#$"2%4ej97m?B!#;7$$"&v3"!"$$"2lxd*[8<pA!#;7$$"$5"!""$"28DYJw%y&>#!#;7$$"&D6"!"$$"1#yw-jY;5#!#:7$$"%D6!"#$"2vAIW%fA))>!#;7$$"&v8"!"$$"2%>`](f#Hd=!#;7$$"$:"!""$"2#z`gg(*)3r"!#;7$$"&D;"!"$$"1W4(4+-8b"!#:7$$"%v6!"#$"2$QfEK'>5Q"!#;7$$"&v="!"$$"2$)z'*Q&)*p-7!#;7$$"$?"!""$"2%GyN'GD">5!#;7$$"&D@"!"$$"1#zaQ\0;L)!#;7$$"%D7!"#$"1*4B[gvqZ'!#;7$$"&vB"!"$$"2WsW`^-ml%!#<7$$"$D"!""$"1-">!*4%f)*G!#;7$$"&DE"!"$$"2971#*[$[I7!#<7$$"%v7!"#$!0[X*e+*p@$!#;7$$"&vG"!"$$!2-TRw4KPt"!#<7$$"$I"!""$!1/x(=["e$)H!#;7$$"&DJ"!"$$!1=['pnV<0%!#;7$$"%D8!"#$!1N;>p.b@\!#;7$$"&vL"!"$$!1\"\f^G%zb!#;7$$"$N"!""$!1(*H'*[@6:g!#;7$$"&DO"!"$$!0V$pqD!=A'!#:7$$"%v8!"#$!1>q=YWF'>'!#;7$$"&vQ"!"$$!1k#*HLh#*Qf!#;7$$"$S"!""$!1BPVmMx`a!#;7$$"&DT"!"$$!1j1m!4(Q[Z!#;7$$"%D9!"#$!2bDzWKuP$Q!#<7$$"&vV"!"$$!2(zBB%R2Us#!#<7$$"$X"!""$!2=9M2s+qV"!#<7$$"&DY"!"$$"1y#oESm#fx!#>7$$"%v9!"#$"2&4Rxqv_(e"!#<7$$"&v["!"$$"1ZpKOClxK!#;7$$"$]"!""$"0vz)H+w^]!#:7$$"&D^"!"$$"1;d!e*f;#)o!#;7$$"%D:!"#$"1=Q8huIS()!#;7$$"&v`"!"$$"2d\x\()=(f5!#;7$$"$b"!""$"2EXP]Q$QU7!#;7$$"&Dc"!"$$"2b7%pdQ<>9!#;7$$"%v:!"#$"1WDuO:L(e"!#:7$$"&ve"!"$$"2aL**yPKUu"!#;7$$"$g"!""$"2p-Xf*zU()=!#;7$$"&Dh"!"$$"2tCv6(Qo9?!#;7$$"%D;!"#$"1GDC=U,C@!#:7$$"&vj"!"$$"2-P]O(Hr8A!#;7$$"$l"!""$"1M(H$=/Q#G#!#:7$$"&Dm"!"$$"18Io>]%*GB!#:7$$"%v;!"#$"2C``G:!o_B!#;7$$"&vo"!"$$"21<'*)Qa@`B!#;7$$"$q"!""$"2N"z%[_U0L#!#;7$$"&Dr"!"$$"2E6BR@:]G#!#;7$$"%D<!"#$"1hRkWRM<A!#:7$$"&vt"!"$$"2%ya[/ZeG@!#;7$$"$v"!""$"2'>!H<bA,-#!#;7$$"&Dw"!"$$"28?r>+]O*=!#;7$$"%v<!"#$"24j4rhS6v"!#;7$$"&vy"!"$$"2hry$3#=[f"!#;7$$"$!=!""$"04FZ8ArU"!#97$$"&D"=!"$$"2XmbsBp1D"!#;7$$"%D=!"#$"2L.KW+8#o5!#;7$$"&v$=!"$$"10KOZg+E))!#;7$$"$&=!""$"18(Ghd%Gnp!#;7$$"&D'=!"$$"1B%\sNq\8&!#;7$$"%v=!"#$"1kPOTgldL!#;7$$"&v)=!"$$"1eW$R-wIm"!#;7$$"$!>!""$"1n:oQfOnx!#=7$$"&D">!"$$!2ta\'y8"QP"!#<7$$"%D>!"#$!2Wo;;:H(oE!#<7$$"&v$>!"$$!2;wG3!H(oy$!#<7$$"$&>!""$!0DNpO%z5Z!#:7$$"&D'>!"$$!0@BY1wgU&!#:7$$"%v>!"#$!1Or/iib@f!#;7$$"&v)>!"$$!0'[qcJ]*='!#:7$$"$+#!""$!1YtpEbtDi!#;7$$"&D,#!"$$!0Nyz(zoHg!#:7$$"%D?!"#$!1F>+n(>Wg&!#;7$$"&v.#!"$$!2uFA?1nl&\!#<7$$"$0#!""$!2kZ'z(QRi4%!#<7$$"&D1#!"$$!1i4(*p='o.$!#;7$$"%v?!"#$!2:mh.ul\z"!#<7$$"&v3#!"$$!04Irs.$**Q!#;7$$"$5#!""$"2)*eif7>j:"!#<7$$"&D6#!"$$"1"eC%\Sl>G!#;7$$"%D@!"#$"2$3o[7'=Td%!#<7$$"&v8#!"$$"0-SC)\L#R'!#:7$$"$:#!""$"1QD'4]IfC)!#;7$$"&D;#!"$$"1;<+V!)f55!#:7$$"%v@!"#$"2D\S7$fM%>"!#;7$$"&v=#!"$$"1"Gw/RpHP"!#:7$$"$?#!""$"1VXSh5oV:!#:7$$"&D@#!"$$"2[YKa/<Qq"!#;7$$"%DA!"#$"1&prTZy3&=!#:7$$"&vB#!"$$"2v8FJ]qD)>!#;7$$"$D#!""$"2v')yA7Qo4#!#;7$$"&DE#!"$$"1,;mB#)*=>#!#:7$$"%vA!"#$"22E$=EuEmA!#;7$$"&vG#!"$$"2(R-CB_y=B!#;7$$"$I#!""$"28(zM#4K'[B!#;7$$"&DJ#!"$$"1h?'HGU`N#!#:7$$"%DB!"#$"2mT*y%36)QB!#;7$$"&vL#!"$$"2jVP;Y'H*H#!#;7$$"$N#!""$"1LO-E]TPA!#:7$$"&DO#!"$$"2'e!>qTKT:#!#;7$$"%vB!"#$"2O"f">B[20#!#;7$$"&vQ#!"$$"2$3aLYd()G>!#;7$$"$S#!""$"2tgJ'RnT!z"!#;7$$"&DT#!"$$"2%)=q$==`P;!#;7$$"%DC!"#$"2D^H0q1EZ"!#;7$$"&vV#!"$$"2Bfdu)\@)H"!#;7$$"$X#!""$"2DM5N+yq6"!#;7$$"&DY#!"$$"1s]P2LA?$*!#;7$$"%vC!"#$"0o)**4qNfu!#:7$$"&v[#!"$$"1'G,%R$>sh&!#;7$$"$]#!""$"2YkAxBcD#Q!#<-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"67-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q#x16"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-I#moG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6>Q0&ApplyFunction;6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%&fenceGQ&false6"/%*separatorGQ&false6"/%)stretchyGQ&false6"/%*symmetricGQ&false6"/%(largeopGQ&false6"/%.movablelimitsGQ&false6"/%'accentGQ&false6"/%'lspaceGQ&0.0em6"/%'rspaceGQ&0.0em6"-I(mfencedG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"t6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6%7ew7$$""!!""$!""!""7$$"$D"!"$$!2m^%=B(ROt#!#<7$$"#D!"#$!1LtF8humU!#;7$$"$v$!"$$!19*>yb&Rvb!#;7$$""&!""$!1*fq*>q;Rm!#;7$$"$D'!"$$!1u9z,2YTu!#;7$$"#v!"#$!1`+yyqvpz!#;7$$"$v)!"$$!1<9piA"e@)!#;7$$"#5!""$!1P8hWmyv")!#;7$$"%D6!"$$!1c.&4"[I]y!#;7$$"$D"!"#$!1'G"o'zXWC(!#;7$$"%v8!"$$!1TjAHQmnj!#;7$$"#:!""$!16t*yzSOB&!#;7$$"%D;!"$$!12/%Gvs+'Q!#;7$$"$v"!"#$!1Xt-kPRoA!#;7$$"%v=!"$$!2wa/o\9W$[!#=7$$"#?!""$"1#QuigIpY"!#;7$$"%D@!"$$"2;Ui-](G_N!#<7$$"$D#!"#$"1WORNz3Sd!#;7$$"%vB!"$$"/kj<?>'*z!#97$$"#D!""$"27HD(*RR&G5!#;7$$"%DE!"$$"2dYEV;(>d7!#;7$$"$v#!"#$"2j7-wOC?["!#;7$$"%vG!"$$"2OxZil7&*p"!#;7$$"#I!""$"27=b#)>oi!>!#;7$$"%DJ!"$$"29nLDkk!*4#!#;7$$"$D$!"#$"2Z#o6lM*[F#!#;7$$"%vL!"$$"1,J$f"4,JC!#:7$$"#N!""$"1p!eW$3)\c#!#:7$$"%DO!"$$"1*z6\m7Zn#!#:7$$"$v$!"#$"2<x[(yS\eF!#;7$$"%vQ!"$$"2)ob/&p<]"G!#;7$$"#S!""$"1*4=<[,M%G!#:7$$"%DT!"$$"2E7/#>D?VG!#;7$$"$D%!"#$"2l@OB"RU9G!#;7$$"%vV!"$$"1@B_TZ^dF!#:7$$"#X!""$"2tR0a0jLn#!#;7$$"%DY!"$$"1iky7?GjD!#:7$$"$v%!"#$"2P(zl"R*)*GC!#;7$$"%v[!"$$"2c*))Q$y!esA!#;7$$"#]!""$"1Ze,#*o\'4#!#:7$$"%D^!"$$"18["yW&[.>!#:7$$"$D&!"#$"24^F(H$elp"!#;7$$"%v`!"$$"2V%pKmX%*y9!#;7$$"#b!""$"1c"Hv%*RSD"!#:7$$"%Dc!"$$"1.&GZ.a`-"!#:7$$"$v&!"#$"1Wu/^Rbkz!#;7$$"%ve!"$$"1H/e`"f"4d!#;7$$"#g!""$"2BY6mj]D_$!#<7$$"%Dh!"$$"2%Rnf%p\)Q9!#<7$$"$D'!"#$!2w'z'=;#G%4&!#=7$$"%vj!"$$!2FPv0(3)=H#!#<7$$"#l!""$!0;25p$p!)Q!#:7$$"%Dm!"$$!1Ri&[yt5D&!#;7$$"$v'!"#$!1/Z0Hoj"Q'!#;7$$"%vo!"$$!1O-[l2uas!#;7$$"#q!""$!1'R'=*4hn&y!#;7$$"%Dr!"$$!1BZ?/NIy")!#;7$$"$D(!"#$!1&eW*=/N9#)!#;7$$"%vt!"$$!1\=HV$RV'z!#;7$$"#v!""$!1D:W;;<Ku!#;7$$"%Dw!"$$!1FPiP::Em!#;7$$"$v(!"#$!0d32yc)eb!#:7$$"%vy!"$$!2tQDM7UpC%!#<7$$"#!)!""$!19GBb&z3r#!#;7$$"%D")!"$$!1m.t(=)QY(*!#<7$$"$D)!"#$"1tDo*HmoM*!#<7$$"%v$)!"$$"2bZ%)fS-t)H!#<7$$"#&)!""$"1"o$fE"y6:&!#;7$$"%D')!"$$"1`k([BZDR(!#;7$$"$v)!"#$"1"['f:RVw'*!#;7$$"%v))!"$$"2-x"3)))>n>"!#;7$$"#!*!""$"1D*e4b4HU"!#:7$$"%D"*!"$$"2`6_hw#oU;!#;7$$"$D*!"#$"1_+9Y+h_=!#:7$$"%v$*!"$$"2/9]fa:%\?!#;7$$"#&*!""$"1*>P:=G+B#!#:7$$"%D'*!"$$"1L"yJbH;R#!#:7$$"$v*!"#$"10<YDzpJD!#:7$$"%v)*!"$$"2O>T$yv/[E!#;7$$"$+"!""$"1MPQ9H')QF!#:7$$"&D,"!"$$"27D\1zEF!G!#;7$$"%D5!"#$"2;LBFjU'QG!#;7$$"&v."!"$$"2Kr\e)*\g%G!#;7$$"$0"!""$"1L:#3EL[#G!#:7$$"&D1"!"$$"1'\Tv`B`x#!#:7$$"%v5!"#$"2k_?')R$H)p#!#;7$$"&v3"!"$$"2lyPN([%\f#!#;7$$"$5"!""$"1))of"o!*oY#!#:7$$"&D6"!"$$"10Qal!HhJ#!#:7$$"%D6!"#$"2MJ')*4E,X@!#;7$$"&v8"!"$$"2'o%G+`6i&>!#;7$$"$:"!""$"1:#)R.?n_<!#:7$$"&D;"!"$$"2llVi>qv`"!#;7$$"%v6!"#$"1'\$R+FE98!#:7$$"&v="!"$$"2_bDY:Mi3"!#;7$$"$?"!""$"1U!=7oG/d)!#;7$$"&D@"!"$$"14<jUHl-j!#;7$$"%D7!"#$"1cB<7AS%4%!#;7$$"&vB"!"$$"2W9rT]N,)>!#<7$$"$D"!""$!1reAMmvar!#>7$$"&DE"!"$$!2-P%QqvXO=!#<7$$"%v7!"#$!2DXX%ysAzM!#<7$$"&vG"!"$$!2c"o,4!H)4\!#<7$$"$I"!""$!0F\0qQf5'!#:7$$"&DJ"!"$$!1hGLh9*)[q!#;7$$"%D8!"#$!1fU**GG(Rs(!#;7$$"&vL"!"$$!1J\^%Q[17)!#;7$$"$N"!""$!1&p)fQ"GFB)!#;7$$"&DO"!"$$!1F+9CJYe!)!#;7$$"%v8!"#$!1J&R$)os0g(!#;7$$"&vQ"!"$$!1UN?e??mo!#;7$$"$S"!""$!1hK">%3"o'e!#;7$$"&DT"!"$$!1%[y]?%*zh%!#;7$$"%D9!"#$!1u%)p8&R#RJ!#;7$$"&vV"!"$$!2uq&=SAi`9!#<7$$"$X"!""$"1st:<7aDT!#<7$$"&DY"!"$$"2\P^S^o,V#!#<7$$"%v9!"#$"2vG7!RntnX!#<7$$"&v["!"$$"0;Q$fF!>z'!#:7$$"$]"!""$"1pLE3#fz1*!#;7$$"&D^"!"$$"247:')*)Qg8"!#;7$$"%D:!"#$"2oq&H\>Mj8!#;7$$"&v`"!"$$"2d]'y%3e^e"!#;7$$"$b"!""$"2v'Q\Qf-)z"!#;7$$"&Dc"!"$$"2WQS(yPi)*>!#;7$$"%v:!"#$"1tFJV8#Q=#!#:7$$"&ve"!"$$"2;J<ioG2N#!#;7$$"$g"!""$"1ao6u7u'\#!#:7$$"&Dh"!"$$"2(\pVH1e>E!#;7$$"%D;!"#$"1*HY^))Htr#!#:7$$"&vj"!"$$"2EY.opj%)y#!#;7$$"$l"!""$"2_mm]/s=$G!#;7$$"&Dm"!"$$"21cPrbxo%G!#;7$$"%v;!"#$"0')zq2YK$G!#97$$"&vo"!"$$"22<'e>.>"z#!#;7$$"$q"!""$"2YZf1bm8s#!#;7$$"&Dr"!"$$"1w0vYV'[i#!#:7$$"%D<!"#$"2&zGf#f*=.D!#;7$$"&vt"!"$$"13*\>)4CeB!#:7$$"$v"!""$"1>!f%*Q!G#>#!#:7$$"&Dw"!"$$"1^viuv*y+#!#:7$$"%v<!"#$"22.(pp(pz!=!#;7$$"&vy"!"$$"27i?6y;cf"!#;7$$"$!=!""$"2CV?jI_TP"!#;7$$"&D"=!"$$"2`f+VAKq9"!#;7$$"%D=!"#$"1W(R+o1!y"*!#;7$$"&v$=!"$$"1y'p=>Z.!p!#;7$$"$&=!""$"17AN$*e)Gn%!#;7$$"&D'=!"$$"1"oRFd"QID!#;7$$"%v=!"#$"2'\D"[$Hni]!#=7$$"&v)=!"$$!2&**e2=8(yO"!#<7$$"$!>!""$!2O9+d&*)yiI!#<7$$"&D">!"$$!1u^b'*p._X!#;7$$"%D>!"#$!1"ecIAwB"e!#;7$$"&v$>!"$$!1Dp;j%RT#o!#;7$$"$&>!""$!1M<")*[Q:d(!#;7$$"&D'>!"$$!0wx7R5H/)!#:7$$"%v>!"#$!1Lfem&**3B)!#;7$$"&v)>!"$$!1`Np2DdK")!#;7$$"$+#!""$!1c*y_dj%\x!#;7$$"&D,#!"$$!1$>Ch0^v3(!#;7$$"%D?!"#$!1ergtQ;dh!#;7$$"&v.#!"$$!2Y/!p3/#G(\!#<7$$"$0#!""$!19*p\%>+`N!#;7$$"&D1#!"$$!2#)pbZFk)>>!#<7$$"%v?!"#$!1V\z7l>*))*!#=7$$"&v3#!"$$"1880?$*\")=!#;7$$"$5#!""$"1"f+rB1/*R!#;7$$"&D6#!"$$"1VH'*)**>\>'!#;7$$"%D@!"#$"1cRn0*R1Y)!#;7$$"&v8#!"$$"2iA)e:5Av5!#;7$$"$:#!""$"2#*RGi:(Q.8!#;7$$"&D;#!"$$"2`([=c>+F:!#;7$$"%v@!"#$"2z@u7)fdU<!#;7$$"&v=#!"$$"2e]S4FXn%>!#;7$$"$?#!""$"2u[V<$QKO@!#;7$$"&D@#!"$$"1ukd`LN3B!#:7$$"%DA!"#$"1-'yLP\,Y#!#:7$$"&vB#!"$$"2&Q0%\;V$*e#!#;7$$"$D#!""$"1)R.Cq=Rp#!#:7$$"&DE#!"$$"1HD\>TCsF!#:7$$"%vA!"#$"2O/hU<(4BG!#;7$$"&vG#!"$$"1yKw@VoXG!#:7$$"$I#!""$"1v")=(4`'RG!#:7$$"&DJ#!"$$"2Y([v:w40G!#;7$$"%DB!"#$"1"H;U5dDu#!#:7$$"&vL#!"$$"1*R%>'[2Il#!#:7$$"$N#!""$"1Leh`h%y`#!#:7$$"&DO#!"$$"18D^g,())R#!#:7$$"%vB!"#$"2.KL3=[#QA!#;7$$"&vQ#!"$$"2oHKom'[e?!#;7$$"$S#!""$"1_8yO2Ri=!#:7$$"&DT#!"$$"1t*)=-/-`;!#:7$$"%DC!"#$"1jJ)p"GkL9!#:7$$"&vV#!"$$"2EKq]H"o27!#;7$$"$X#!""$"1mNC/*=my*!#;7$$"&DY#!"$$"0KVDu$e,v!#:7$$"%vC!"#$"1c^"[nktD&!#;7$$"&v[#!"$$"2c]/$*)>)*)3$!#<7$$"$]#!""$"2K9tCds-."!#<-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"67-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q#x26"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-I#moG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6>Q0&ApplyFunction;6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%&fenceGQ&false6"/%*separatorGQ&false6"/%)stretchyGQ&false6"/%*symmetricGQ&false6"/%(largeopGQ&false6"/%.movablelimitsGQ&false6"/%'accentGQ&false6"/%'lspaceGQ&0.0em6"/%'rspaceGQ&0.0em6"-I(mfencedG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"t6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$")Vyg>!")$"(;#R!)!"($")Vyg>!")-%'CURVESG6%7ew7$$""!!""$"""!""7$$"$D"!"$$!2WW1'QK#p)=!#=7$$"#D!"#$!2ve2()Q"Q:7!#<7$$"$v$!"$$!2F))o]0YS1#!#<7$$""&!""$!2:-.Z>V9s#!#<7$$"$D'!"$$!1j93XVJxJ!#;7$$"#v!"#$!1.hT*yXXU$!#;7$$"$v)!"$$!1Mvpj&z#fM!#;7$$"#5!""$!1=>**eO(4G$!#;7$$"%D6!"$$!2.C]$z/T#*G!#<7$$"$D"!"#$!2d!e.BMl*H#!#<7$$"%v8!"$$!2zB*ylA&>^"!#<7$$"#:!""$!1NYx1#))fT&!#<7$$"%D;!"$$"2XC'38([E'f!#=7$$"$v"!"#$"2o=+y#G)Q)=!#<7$$"%v=!"$$"2Ygy7?i6I$!#<7$$"#?!""$"1D()4@o)f#[!#;7$$"%D@!"$$"1F444BcMk!#;7$$"$D#!"#$"1Dwu#Q(y,")!#;7$$"%vB!"$$"16^V_bk,)*!#;7$$"#D!""$"2$3n)*46w]6!#;7$$"%DE!"$$"2$*4X.I1$>8!#;7$$"$v#!"#$"1()f(\.qJ["!#:7$$"%vG!"$$"2`T6^F&zR;!#;7$$"#I!""$"2EPgi$zt'y"!#;7$$"%DJ!"$$"2s,Ot-0<#>!#;7$$"$D$!"#$"1$Qn?V!fU?!#:7$$"%vL!"$$"2EAuSx2v9#!#;7$$"#N!""$"2w0!Q`)>[B#!#;7$$"%DO!"$$"1EH=%>kJI#!#:7$$"$v$!"#$"2N'G)eIu9N#!#;7$$"%vQ!"$$"1&4e`K'**yB!#:7$$"#S!""$"22_;2y+`Q#!#;7$$"%DT!"$$"1Km-$H*GqB!#:7$$"$D%!"#$"1'fi:6'>MB!#:7$$"%vV!"$$"1=YEeWexA!#:7$$"#X!""$"2nY?"RxL,A!#;7$$"%DY!"$$"2%z!p&edk1@!#;7$$"$v%!"#$"2_N:M:')\*>!#;7$$"%v[!"$$"2Pk$RM85o=!#;7$$"#]!""$"2bt"o'Hrzs"!#;7$$"%D^!"$$"2&R]oAFyw:!#;7$$"$D&!"#$"2ZZj%f[*oT"!#;7$$"%v`!"$$"2a9FPq-3D"!#;7$$"#b!""$"2$zZ&z1)4"3"!#;7$$"%Dc!"$$"13aei8H/"*!#;7$$"$v&!"#$"1O4L-9f9u!#;7$$"%ve!"$$"1HjU,![#od!#;7$$"#g!""$"1%z">)z^4>%!#;7$$"%Dh!"$$"1\!\A(fJ2F!#;7$$"$D'!"#$"2QRRW;#\S8!#<7$$"%vj!"$$"2)zdEJ?4=6!#=7$$"#l!""$!0'**))\sf&f*!#;7$$"%Dm!"$$!2'\I9mi*o&=!#<7$$"$v'!"#$!2(3yq$y(>mD!#<7$$"%vo!"$$!1h#pZ'eRwI!#;7$$"#q!""$!0#))))Q!H&zL!#:7$$"%Dr!"$$!1iuE9q'3Z$!#;7$$"$D(!"#$!1)*pP#\%)*[L!#;7$$"%vt!"$$!1b$R#4My:I!#;7$$"#v!""$!2cXziDjkZ#!#<7$$"%Dw!"$$!2sCBR%*R%R<!#<7$$"$v(!"#$!/v$euW@;)!#:7$$"%vy!"$$"22:'fq_1)y#!#=7$$"#!)!""$"29o1XiN&G:!#<7$$"%D")!"$$"00jJ@rM"H!#:7$$"$D)!"#$"2bLvj$=+7W!#<7$$"%v$)!"$$"19&*)\UV2+'!#;7$$"#&)!""$"1KN(y>/\l(!#;7$$"%D')!"$$"14`RH:n[$*!#;7$$"$v)!"#$"2T8)ou9c06!#;7$$"%v))!"$$"1W9Ad(4\F"!#:7$$"#!*!""$"2:zUsPp-W"!#;7$$"%D"*!"$$"28+(=`*f!*f"!#;7$$"$D*!"#$"2#pHA6O!)[<!#;7$$"%v$*!"$$"2<&Qm^O;()=!#;7$$"#&*!""$"2-ABB,")>,#!#;7$$"%D'*!"$$"2'Gy1gzI@@!#;7$$"$v*!"#$"2W^0W[QM@#!#;7$$"%v)*!"$$"1)Qb$>\$pG#!#:7$$"$+"!""$"2PMAwP]1M#!#;7$$"&D,"!"$$"1w([ukYPP#!#:7$$"%D5!"#$"2K)ehssq&Q#!#;7$$"&v."!"$$"2`ld:hXjP#!#;7$$"$0"!""$"298f)\x!eM#!#;7$$"&D1"!"$$"1E.p?-d%H#!#:7$$"%v5!"#$"23L,&oDVBA!#;7$$"&v3"!"$$"2Bl)[s[]L@!#;7$$"$5"!""$"1")eQC/>E?!#:7$$"&D6"!"$$"2xQ(=IQ;.>!#;7$$"%D6!"#$"2*>5wy[Mm<!#;7$$"&v8"!"$$"2as?Teoyh"!#;7$$"$:"!""$"0K,#p=0g9!#97$$"&D;"!"$$"2oK')4Td`H"!#;7$$"%v6!"#$"1hxY6_NE6!#:7$$"&v="!"$$"1(p%QM\#ob*!#;7$$"$?"!""$"18!QdZD+'y!#;7$$"&D@"!"$$"1#faosJ'*>'!#;7$$"%D7!"#$"2'=<nwNb,Y!#<7$$"&vB"!"$$"2C@:/]G24$!#<7$$"$D"!""$"2-#\,=Ct!p"!#<7$$"&DE"!"$$"2/405+=TB%!#=7$$"%v7!"#$!1/[;*QsX"p!#<7$$"&vG"!"$$!1LtfSvZO;!#;7$$"$I"!""$!1^4>zB!pR#!#;7$$"&DJ"!"$$!2bP3%zb'3'H!#<7$$"%D8!"#$!2<1"=%om&>L!#<7$$"&vL"!"$$!1d0r#G3uY$!#;7$$"$N"!""$!1prIcL3-M!#;7$$"&DO"!"$$!1L!Q'y7hCJ!#;7$$"%v8!"#$!2FMB'3>KRE!#<7$$"&vQ"!"$$!2F<hW-)y`>!#<7$$"$S"!""$!14CB`rqy5!#;7$$"&DT"!"$$!1dgt>RYtF!#=7$$"%D9!"#$"2AI<IWHF="!#<7$$"&vV"!"$$"1%\Ji?'zLD!#;7$$"$X"!""$"2FI7bq#Q/S!#<7$$"&DY"!"$$"1'***RI4arb!#;7$$"%v9!"#$"1a]#4!f"3@(!#;7$$"&v["!"$$"1mQTzsi'*))!#;7$$"$]"!""$"2sw?V&oEg5!#;7$$"&D^"!"$$"2$>&)*)[<BI7!#;7$$"%D:!"#$"24$[Lm^!pR"!#;7$$"&v`"!"$$"26g'pBiod:!#;7$$"$b"!""$"2KAnj)f15<!#;7$$"&Dc"!"$$"2'fN5>mm^=!#;7$$"%v:!"#$"1yiQ"\y-)>!#:7$$"&ve"!"$$"2O:0!eY*Q4#!#;7$$"$g"!""$"1m!Hm<U2>#!#:7$$"&Dh"!"$$"1c%QTx4$pA!#:7$$"%D;!"#$"2;Vn%H9PGB!#;7$$"&vj"!"$$"2t'yB0b+nB!#;7$$"$l"!""$"1CGhH"4YQ#!#:7$$"&Dm"!"$$"1-Y"Rg24Q#!#:7$$"%v;!"#$"1y_?*oefN#!#:7$$"&vo"!"$$"2XN;]q^,J#!#;7$$"$q"!""$"2c&z)RX,UC#!#;7$$"&Dr"!"$$"1K;inq8f@!#:7$$"%D<!"#$"1smJZfGc?!#:7$$"&vt"!"$$"2#*HS.0`s$>!#;7$$"$v"!""$"2Z6z_%e*Q!=!#;7$$"&Dw"!"$$"2O[!pE`He;!#;7$$"%v<!"#$"1Wh.UNs-:!#:7$$"&vy"!"$$"2.ZCp83'R8!#;7$$"$!=!""$"2()oTFZ%\r6!#;7$$"&D"=!"$$"1:*[p!f+,5!#:7$$"%D=!"#$"1WE8m&G!3$)!#;7$$"&v$=!"$$"1W9,MGTNm!#;7$$"$&=!""$"1oNW#[7$=]!#;7$$"&D'=!"$$"1W)H8#='>[$!#;7$$"%v=!"#$"1i"o*)3N.0#!#;7$$"&v)=!"$$"0v%)pTBxX(!#;7$$"$!>!""$!1E@<^:p8T!#<7$$"&D">!"$$!2v1]afKIS"!#<7$$"%D>!"#$!1Qf)HSVP@#!#;7$$"&v$>!"$$!1.0w12&3$G!#;7$$"$&>!""$!195j`ZsWK!#;7$$"&D'>!"$$!2<S)exr!*[M!#<7$$"%v>!"#$!29Sc,y6-W$!#<7$$"&v)>!"$$!2/&)o,Du(=K!#<7$$"$+#!""$!1)z5h/]!)y#!#;7$$"&D,#!"$$!2DHo^ZgZ:#!#<7$$"%D?!"#$!2(4f;4yyG8!#<7$$"&v.#!"$$!1ZrYa2@IK!#<7$$"$0#!""$"1(=1bs]%o%)!#<7$$"&D1#!"$$"2%*\:[EbD;#!#<7$$"%v?!"#$"1`Y)QGyNg$!#;7$$"&v3#!"$$"1'4*\ZuUZ^!#;7$$"$5#!""$"1fuy0:,qn!#;7$$"&D6#!"$$"0fRsd5gW)!#:7$$"%D@!"#$"2Dd(oDr#\,"!#;7$$"&v8#!"$$"1Gj9t9K&="!#:7$$"$:#!""$"2u1*H`^7`8!#;7$$"&D;#!"$$"1^t%ek>d^"!#:7$$"%v@!"#$"2<^,"=xcq;!#;7$$"&v=#!"$$"2"z")o<ID:=!#;7$$"$?#!""$"1Vd#*yx^Z>!#:7$$"&D@#!"$$"2D2-W0)Hl?!#;7$$"%DA!"#$"2%QLPAfvm@!#;7$$"&vB#!"$$"1sEom"3.D#!#:7$$"$D#!""$"1D]`#)4l9B!#:7$$"&DE#!"$$"1H`"=K!yeB!#:7$$"%vA!"#$"2/[M4c2?Q#!#;7$$"&vG#!"$$"2X>)eY-(RQ#!#;7$$"$I#!""$"1Ahs^xjkB!#:7$$"&DJ#!"$$"2tB(\`<JCB!#;7$$"%DB!"#$"22WYc_@OE#!#;7$$"&vL#!"$$"0NI(=T^$=#!#97$$"$N#!""$"2P()>@eR_3#!#;7$$"&DO#!"$$"1$)[0d9Lq>!#:7$$"%vB!"#$"2u$QWYGeS=!#;7$$"&vQ#!"$$"1()\%RV=!)p"!#:7$$"$S#!""$"1`!4&*)G'[a"!#:7$$"&DT#!"$$"2$fbEah]$Q"!#;7$$"%DC!"#$"2D]4g9mk@"!#;7$$"&vV#!"$$"2su\#o%\j/"!#;7$$"$X#!""$"1;"[%[t5e()!#;7$$"&DY#!"$$"1J**)oX6^2(!#;7$$"%vC!"#$"1Xbk&fp2W&!#;7$$"&v[#!"$$"1oP0B^e!)Q!#;7$$"$]#!""$"1X1"f>/*=C!#;-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"67-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q#x36"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-I#moG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6>Q0&ApplyFunction;6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%&fenceGQ&false6"/%*separatorGQ&false6"/%)stretchyGQ&false6"/%*symmetricGQ&false6"/%(largeopGQ&false6"/%.movablelimitsGQ&false6"/%'accentGQ&false6"/%'lspaceGQ&0.0em6"/%'rspaceGQ&0.0em6"-I(mfencedG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"t6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$")(>!\&)!")$")%)eqk!")$"(-\D"!"(-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"t6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q+x1,~x2,~x36"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-%%ROOTG6'-%)BOUNDS_XG6#$"%55!""-%)BOUNDS_YG6#$"#]!""-%-BOUNDS_WIDTHG6#$"%!)G!""-%.BOUNDS_HEIGHTG6#$"%?O!""-%)CHILDRENG6"

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

-%%PLOTG6'-%'CURVESG6%7ew7$$""!!""$""#!""7$$"$D"!"$$"1s?%pQpW([!#<7$$"#D!"#$!1@#*z0,iB*)!#<7$$"$v$!"$$!1;U=d$H<4#!#;7$$""&!""$!2<'fPHL%=2$!#<7$$"$D'!"$$!2Nm!z2q&[!Q!#<7$$"#v!"#$!2%p'=x4h^F%!#<7$$"$v)!"$$!0(pWy'f)zW!#:7$$"#5!""$!2W[%emC\GW!#<7$$"%D6!"$$!1$Gd#=$y?9%!#;7$$"$D"!"#$!1Lf=:7e^O!#;7$$"%v8!"$$!191$fd?f*H!#;7$$"#:!""$!2o(Q4R:m>A!#<7$$"%D;!"$$!1Xy5pu_q8!#;7$$"$v"!"#$!08yC1j(o\!#;7$$"%v=!"$$"2YFT2(3DZN!#=7$$"#?!""$"2Ya"RU!3<9"!#<7$$"%D@!"$$"1zz"['))QF=!#;7$$"$D#!"#$"2`h=E:cCQ#!#<7$$"%vB!"$$"1A(Hay/gy#!#;7$$"#D!""$"2Y]E<9*3EI!#<7$$"%DE!"$$"2FmjPK%z*4$!#<7$$"$v#!"#$"2M-)ov)[G,$!#<7$$"%vG!"$$"2wCgf^C)yF!#<7$$"#I!""$"1Q3SKo)zT#!#;7$$"%DJ!"$$"2ask*p\(e&>!#<7$$"$D$!"#$"2az47k(p@9!#<7$$"%vL!"$$"1jPG05Pm%)!#<7$$"#N!""$"2&G>?a8_@E!#=7$$"%DO!"$$!2;lzWcSj,$!#=7$$"$v$!"#$!1/f8MZ%Q<)!#<7$$"%vQ!"$$!2l"3(ROt<E"!#<7$$"#S!""$!23T'f2oV;;!#<7$$"%DT!"$$!2e"y4Cmho=!#<7$$"$D%!"#$!2w`X(*z#[6?!#<7$$"%vV!"$$!2M2/]vOT/#!#<7$$"#X!""$!1")GI.QJr>!#;7$$"%DY!"$$!2.[AAK<G!=!#<7$$"$v%!"#$!2;I*pf)GFb"!#<7$$"%v[!"$$!2V2Il=Z%Q7!#<7$$"#]!""$!1'y"Ry*[hz)!#<7$$"%D^!"$$!1Z)fFmM*p\!#<7$$"$D&!"#$!2_h')yKnM6"!#=7$$"%v`!"$$"06jq#36wD!#;7$$"#b!""$"2;B(RqG`@f!#=7$$"%Dc!"$$"1.$4(=iBt()!#<7$$"$v&!"#$"2ua!=&[L:5"!#<7$$"%ve!"$$"1hY@gR&pD"!#;7$$"#g!""$"1%\#ztYpR8!#;7$$"%Dh!"$$"1BzqlFx\8!#;7$$"$D'!"#$"2035!)p&)3H"!#<7$$"%vj!"$$"2<RQ7x5+<"!#<7$$"#l!""$"1m%)*ou;'o**!#<7$$"%Dm!"$$"14q&G")yB$y!#<7$$"$v'!"#$"1Ki\Y01Ba!#<7$$"%vo!"$$"2[T7k4Q&yG!#=7$$"#q!""$"21@?3YBbN$!#>7$$"%Dr!"$$!2uC]I'H:x?!#=7$$"$D(!"#$!1D=;T0*[C%!#<7$$"%vt!"$$!1^:>&zD?2'!#<7$$"#v!""$!1m^6b%=d[(!#<7$$"%Dw!"$$!0@HCp#HQ%)!#;7$$"$v(!"#$!1y#3#y]>3*)!#<7$$"%vy!"$$!19tBWOd**))!#<7$$"#!)!""$!1kvqH#z0W)!#<7$$"%D")!"$$!1y4qk"\0e(!#<7$$"$D)!"#$!1`L">r!G'Q'!#<7$$"%v$)!"$$!1%R!HtdjP\!#<7$$"#&)!""$!1G-Wm#QFK$!#<7$$"%D')!"$$!2v]#ex5.L;!#=7$$"$v)!"#$"1(*=9-a)[:%!#>7$$"%v))!"$$"1,<M>(Rqh"!#<7$$"#!*!""$"1)z))\Zi$>I!#<7$$"%D"*!"$$"1/#f`[,v=%!#<7$$"$D*!"#$"1kU*48Re2&!#<7$$"%v$*!"$$"1fSL:^dbc!#<7$$"#&*!""$"2Y'RKi:@:f!#=7$$"%D'*!"$$"20">=]M8ge!#=7$$"$v*!"#$"1_]Q8!e8^&!#<7$$"%v)*!"$$"2%f%pKhkN!\!#=7$$"$+"!""$"2YBkubYD3%!#=7$$"&D,"!"$$"2FUb*QuC-J!#=7$$"%D5!"#$"2-y.s?c:-#!#=7$$"&v."!"$$"1PO<>JP5!*!#=7$$"$0"!""$!2.UJOiYB+#!#>7$$"&D1"!"$$!2z[:ub"eF7!#=7$$"%v5!"#$!2sx"[OrBL@!#=7$$"&v3"!"$$!2x`R'=nOyG!#=7$$"$5"!""$!13S+`t^MM!#<7$$"&D6"!"$$!1MeeW!eWy$!#<7$$"%D6!"#$!1'ze#)y-C#R!#<7$$"&v8"!"$$!12p(o&3k`Q!#<7$$"$:"!""$!1-)>&3ui$f$!#<7$$"&D;"!"$$!2CAOss6m;$!#=7$$"%v6!"#$!2t"eA)Q**Qg#!#=7$$"&v="!"$$!1$[@cdd=%>!#<7$$"$?"!""$!2%eiH+&z(>7!#=7$$"&D@"!"$$!114%y_Usx%!#=7$$"%D7!"#$"1b'39JqbX#!#=7$$"&vB"!"$$"1LoP%R'3X"*!#=7$$"$D"!""$"2=sRta'Q)\"!#=7$$"&DE"!"$$"0O7yIPD(>!#;7$$"%v7!"#$"1<!G"4VH>B!#<7$$"&vG"!"$$"2#p1De"o%GD!#=7$$"$I"!""$"1vN,[)Huf#!#<7$$"&DJ"!"$$"1BN)4413`#!#<7$$"%D8!"#$"2VtzYpC)RB!#=7$$"&vL"!"$$"2a:TZVj8/#!#=7$$"$N"!""$"2c#=Xmxwc;!#=7$$"&DO"!"$$"2$3Cxp1^57!#=7$$"%v8!"#$"2w`]*Hmr(G(!#>7$$"&vQ"!"$$"1,,eWl6!Q#!#=7$$"$S"!""$!1XIn8#RQO#!#=7$$"&DT"!"$$!1\5_%)*)G8n!#=7$$"%D9!"#$!2G96?"G2Z5!#=7$$"&vV"!"$$!2<(Q%HJ3![8!#=7$$"$X"!""$!2xGUn">Aj:!#=7$$"&DY"!"$$!2.??+1vno"!#=7$$"%v9!"#$!23Gu9$or<<!#=7$$"&v["!"$$!20*Q$**GV)f;!#=7$$"$]"!""$!2&3dIB-B@:!#=7$$"&D^"!"$$!2-MgX9wNJ"!#=7$$"%D:!"#$!2TjzB")*R^5!#=7$$"&v`"!"$$!1VD3-MT6v!#=7$$"$b"!""$!1O,U#G!=-V!#=7$$"&Dc"!"$$!1tmD.P&31"!#=7$$"%v:!"#$"2iYHR"\\Y?!#>7$$"&ve"!"$$"1agMk)*>q[!#=7$$"$g"!""$"1_USUMj$G(!#=7$$"&Dh"!"$$"1Lu`#*oG)=*!#=7$$"%D;!"#$"2"f(fkD8<0"!#=7$$"&vj"!"$$"2\oIHk>O7"!#=7$$"$l"!""$"2w0sh\OW8"!#=7$$"&Dm"!"$$"2sCwL%Q:(3"!#=7$$"%v;!"#$"11y<6*>`()*!#=7$$"&vo"!"$$"1kwzXD\O%)!#=7$$"$q"!""$"1%\\8S%e`m!#=7$$"&Dr"!"$$"2l$e^X"\oj%!#>7$$"%D<!"#$"1>.dD7+-D!#=7$$"&vt"!"$$"2a6))*)ys.k$!#?7$$"$v"!""$!2og"Qz#[&o;!#>7$$"&Dw"!"$$!1"zLiD$)))\$!#=7$$"%v<!"#$!2D,1mJ_f/&!#>7$$"&vy"!"$$!1okXSIyZi!#=7$$"$!=!""$!1rqp7F[jq!#=7$$"&D"=!"$$!1@1<y"*3uu!#=7$$"%D=!"#$!13S1'QhA[(!#=7$$"&v$=!"$$!1b;1<D*36(!#=7$$"$&=!""$!1Jk%pDy2S'!#=7$$"&D'=!"$$!12*=0<8vS&!#=7$$"%v=!"#$!1=D8wq"y>%!#=7$$"&v)=!"$$!2V1'*oa5b%G!#>7$$"$!>!""$!2lOKnvjtU"!#>7$$"&D">!"$$!2V#R0g2j.>!#@7$$"%D>!"#$"2-Y$)\`"p38!#>7$$"&v$>!"$$"28@Iw8AK\#!#>7$$"$&>!""$"1Uk<>z$G[$!#=7$$"&D'>!"$$"2N5[LP"pQU!#>7$$"%v>!"#$"2N4(ewx-OZ!#>7$$"&v)>!"$$"0TZ=7BY'\!#<7$$"$+#!""$"2bLaL`g%G\!#>7$$"&D,#!"$$"1/'fNq0Zk%!#=7$$"%D?!"#$"0L*H%pt?9%!#<7$$"&v.#!"$$"1V3@U`qeM!#=7$$"$0#!""$"22ni)H!*oRE!#>7$$"&D1#!"$$"2xo.S/uVt"!#>7$$"%v?!"#$"1P')*yfOi$z!#>7$$"&v3#!"$$!287%f4R\G8!#?7$$"$5#!""$!13kgR#[$*)**!#>7$$"&D6#!"$$!21dG(HADk<!#>7$$"%D@!"#$!2&\')4()\'eR#!#>7$$"&v8#!"$$!2&oB'oy<&pG!#>7$$"$:#!""$!2l!fZpEOqJ!#>7$$"&D;#!"$$!1[wLTk;$H$!#=7$$"%v@!"#$!2ll4D"*=?C$!#>7$$"&v=#!"$$!2$RUZIeeHI!#>7$$"$?#!""$!21i/`Xqfn#!#>7$$"&D@#!"$$!2V$oIkVE2A!#>7$$"%DA!"#$!2AK"4w(yQl"!#>7$$"&vB#!"$$!2'G`T%o`([5!#>7$$"$D#!""$!2d#Q@&fDaD%!#?7$$"&DE#!"$$"2:gu[vQ8$=!#?7$$"%vA!"#$"11naa`!GZ(!#>7$$"&vG#!"$$"1A$fvZ&*3C"!#=7$$"$I#!""$"20kq3'f0V;!#>7$$"&DJ#!"$$"2N_Y"*G%oQ>!#>7$$"%DB!"#$"1ORA_J(*=@!#=7$$"&vL#!"$$"1_j!)o'o9=#!#=7$$"$N#!""$"2v\f-sE)H@!#>7$$"&DO#!"$$"2$=5`WRFt>!#>7$$"%vB!"#$"2sRL0h<es"!#>7$$"&vQ#!"$$"2BU/'Q"f_S"!#>7$$"$S#!""$"2O+b5Zs?."!#>7$$"&DT#!"$$"0Xy#3/7#G'!#=7$$"%DC!"#$"2yD2&=!["f@!#?7$$"&vV#!"$$!2x_$=*RFW$=!#?7$$"$X#!""$!0Bk[qwP]&!#=7$$"&DY#!"$$!0#HsT.y"o)!#=7$$"%vC!"#$!2kN3D-*eB6!#>7$$"&v[#!"$$!2,e`XE%G28!#>7$$"$]#!""$!2t&[**>3699!#>-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"67-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q#x16"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-I#moG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6>Q0&ApplyFunction;6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%&fenceGQ&false6"/%*separatorGQ&false6"/%)stretchyGQ&false6"/%*symmetricGQ&false6"/%(largeopGQ&false6"/%.movablelimitsGQ&false6"/%'accentGQ&false6"/%'lspaceGQ&0.0em6"/%'rspaceGQ&0.0em6"-I(mfencedG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"t6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6%7ew7$$""!!""$!""!""7$$"$D"!"$$!0,n%yW4-F!#:7$$"#D!"#$!2x]G<m^+7%!#<7$$"$v$!"$$!1))*34q2'3_!#;7$$""&!""$!1,g"3?0(Rf!#;7$$"$D'!"$$!13d4#QbLI'!#;7$$"#v!"#$!18>;=SW2j!#;7$$"$v)!"$$!11AO\5dwf!#;7$$"#5!""$!0EK5f`+N&!#:7$$"%D6!"$$!2%zuL@QDzW!#<7$$"$D"!"#$!1&>;,h:WU$!#;7$$"%v8!"$$!2Abzq/17D#!#<7$$"#:!""$!2N@:H1gr-"!#<7$$"%D;!"$$"2)fy"))\9y"=!#=7$$"$v"!"#$"17g0^jY98!#;7$$"%v=!"$$"1m3T#\4tJ#!#;7$$"#?!""$"2CbmO`Nl9$!#<7$$"%D@!"$$"1-$z*y=!)pP!#;7$$"$D#!"#$"1%)eseR:nT!#;7$$"%vB!"$$"1)=MT(>IJV!#;7$$"#D!""$"2u:`$oMCnU!#<7$$"%DE!"$$"1HV[4!)G"*R!#;7$$"$v#!"#$"1=Id^ucHN!#;7$$"%vG!"$$"2OmBVeOh"H!#<7$$"#I!""$"1R&GEw$y!>#!#;7$$"%DJ!"$$"1&=yJ%*ymR"!#;7$$"$D$!"#$"0/B;yu)zd!#;7$$"%vL!"$$!1'Gx/UwUA#!#<7$$"#N!""$!1Frw%\R5l*!#<7$$"%DO!"$$!0=X(QMy:;!#:7$$"$v$!"#$!2-=$)G-[o9#!#<7$$"%vQ!"$$!2a:"3$>N$QD!#<7$$"#S!""$!2W&[C&z1&yF!#<7$$"%DT!"$$!2Nl6Q.oR'G!#<7$$"$D%!"#$!2([@tcnN*z#!#<7$$"%vV!"$$!20)4tzOk'f#!#<7$$"#X!""$!2&*)o4a:5uA!#<7$$"%DY!"$$!2\morp9]&=!#<7$$"$v%!"#$!1-!z*3$4iO"!#;7$$"%v[!"$$!1w(G[E%*[O)!#<7$$"#]!""$!2CC`(fAj]H!#=7$$"%D^!"$$"1tPbR.g*H#!#<7$$"$D&!"#$"1D$Q.m.$Hr!#<7$$"%v`!"$$"2jOxk/9=8"!#<7$$"#b!""$"2cRp[S+"p9!#<7$$"%Dc!"$$"2NAi(epU7<!#<7$$"$v&!"#$"2Gp\K`2\&=!#<7$$"%ve!"$$"1C#y=%R;&*=!#;7$$"#g!""$"2$\Ku"zwq$=!#<7$$"%Dh!"$$"2(4<@+VG*o"!#<7$$"$D'!"#$"2B)3&[6pWY"!#<7$$"%vj!"$$"2fO()f`"[y6!#<7$$"#l!""$"1L$QLUIN\)!#<7$$"%Dm!"$$"0HB>YkD'\!#;7$$"$v'!"#$"2E'Gs:Xo%Q"!#=7$$"%vo!"$$!1.-,s'Hh0#!#<7$$"#q!""$!16glzv\$>&!#<7$$"%Dr!"$$!1'\9S'y/')y!#<7$$"$D(!"#$!1%[0V@8B+"!#;7$$"%vt!"$$!2&*>)RO^'G:"!#<7$$"#v!""$!1A.t@5HO7!#;7$$"%Dw!"$$!2%o!y_)>D_7!#<7$$"$v(!"#$!2jW1voYQ?"!#<7$$"%vy!"$$!2.*)>6Ebs4"!#<7$$"#!)!""$!1[sz!\xCT*!#<7$$"%D")!"$$!1[$)>#)z*eY(!#<7$$"$D)!"#$!0BTDs;QD&!#;7$$"%v$)!"$$!1JdV5$zO!H!#<7$$"#&)!""$!1Y1nX[WDa!#=7$$"%D')!"$$"2'Gn$GaI$4<!#=7$$"$v)!"#$"1^w9l')=WP!#<7$$"%v))!"$$"1.[GT"3:Z&!#<7$$"#!*!""$"1^E%)H/f@o!#<7$$"%D"*!"$$"1bIk$G&)yu(!#<7$$"$D*!"#$"1,`vR%3!G#)!#<7$$"%v$*!"$$"1ki%G2wME)!#<7$$"#&*!""$"1=-_lPCyy!#<7$$"%D'*!"$$"1H)><H$>;r!#<7$$"$v*!"#$"2Cc"4?avPg!#=7$$"%v)*!"$$"2D5!*)>**)er%!#=7$$"$+"!""$"1D-eOOmJK!#<7$$"&D,"!"$$"1d()RRRnp;!#<7$$"%D5!"#$"2[ChEh$eN6!#>7$$"&v."!"$$!2,n#[sq=e8!#=7$$"$0"!""$!2&["*z^o)en#!#=7$$"&D1"!"$$!1jHv]]q"y$!#<7$$"%v5!"#$!1'3mys*)=j%!#<7$$"&v3"!"$$!1xkE8Q<)>&!#<7$$"$5"!""$!2%>Lbl.Joa!#=7$$"&D6"!"$$!1(HCj@ldW&!#<7$$"%D6!"#$!1"e1)p8j[^!#<7$$"&v8"!"$$!1AxVB_'yg%!#<7$$"$:"!""$!14-AtK(\'Q!#<7$$"&D;"!"$$!276bqF)HpH!#=7$$"%v6!"#$!20rQ!3c1v>!#=7$$"&v="!"$$!1359CH`$Q*!#=7$$"$?"!""$"1lthz;j&e)!#>7$$"&D@"!"$$"2M,Cdh)RY5!#=7$$"%D7!"#$"2(4Yl\xH)*=!#=7$$"&vB"!"$$"2y4`jw'o/E!#=7$$"$D"!""$"2Y.%\Vd?QJ!#=7$$"&DE"!"$$"/B_*HP=[$!#:7$$"%v7!"#$"2&y$>etp"HO!#=7$$"&vG"!"$$"29\vpj2Te$!#=7$$"$I"!""$"1"R2^dw+O$!#<7$$"&DJ"!"$$"29ee7a"zyH!#=7$$"%D8!"#$"2$Qa9;nnoC!#=7$$"&vL"!"$$"1z6t#)o.j=!#<7$$"$N"!""$"2_<*)[Y(3)>"!#=7$$"&DO"!"$$"1e%Qp/7&4^!#=7$$"%v8!"#$!27\(*4/^Fi"!#>7$$"&vQ"!"$$!1JR>A%**G)y!#=7$$"$S"!""$!2`r!=-B6Q8!#=7$$"&DT"!"$$!2NqLWq*H)y"!#=7$$"%D9!"#$!2Ujj)y]"=7#!#=7$$"&vV"!"$$!2#z@<F*=&GB!#=7$$"$X"!""$!1*[Qb`$G0C!#<7$$"&DY"!"$$!1:71U`ubB!#<7$$"%v9!"#$!2AQ?,&*G(*=#!#=7$$"&v["!"$$!2N;m9,"RA>!#=7$$"$]"!""$!1E&GhaVJd"!#<7$$"&D^"!"$$!2hFa!GSUk6!#=7$$"%D:!"#$!1)pROTMQ?(!#=7$$"&v`"!"$$!2(yN:[\jbE!#>7$$"$b"!""$"2(R'\/V$pj<!#>7$$"&Dc"!"$$"2lxzA\@x$e!#>7$$"%v:!"#$"1<fY!H[+Q*!#=7$$"&ve"!"$$"2Ef^Hb+UA"!#=7$$"$g"!""$"29muYT+=V"!#=7$$"&Dh"!"$$"2*\:vq)Q[b"!#=7$$"%D;!"#$"2u(H)3%*z>f"!#=7$$"&vj"!"$$"1uXMrnJY:!#<7$$"$l"!""$"2e"4&pSe\U"!#=7$$"&Dm"!"$$"2%R\acqVQ7!#=7$$"%v;!"#$"1FF"y\i(****!#=7$$"&vo"!"$$"1P,xr.lYs!#=7$$"$q"!""$"1w%yj(\&eG%!#=7$$"&Dr"!"$$"23yw1![Sz7!#>7$$"%D<!"#$!2a13+oUxh"!#>7$$"&vt"!"$$!1F$44%>9lU!#=7$$"$v"!""$!1Ny6BU8Vl!#=7$$"&Dw"!"$$!12YdXeqd$)!#=7$$"%v<!"#$!17d$3)ewV'*!#=7$$"&vy"!"$$!2_>pG(onO5!#=7$$"$!=!""$!2xI"*\_pA0"!#=7$$"&D"=!"$$!2PG=z$)[O,"!#=7$$"%D=!"#$!1d43?@6f#*!#=7$$"&v$=!"$$!1'G)*)QEYjz!#=7$$"$&=!""$!1\f^%*[SRj!#=7$$"&D'=!"$$!16U/`rB)[%!#=7$$"%v=!"#$!2i%)\"Ho*o^#!#>7$$"&v)=!"$$!1,V0c?;A`!#>7$$"$!>!""$"2XI!yKQ[k8!#>7$$"&D">!"$$"2oje?u2A3$!#>7$$"%D>!"#$"1"eZ#etHWX!#=7$$"&v$>!"$$"1**[<5_["p&!#=7$$"$&>!""$"2b<")3%**)Q['!#>7$$"&D'>!"$$"1k5M[S">!p!#=7$$"%v>!"#$"0C?x'>1Yp!#<7$$"&v)>!"$$"1L0@'H]dj'!#=7$$"$+#!""$"1_0p(zGs+'!#=7$$"&D,#!"$$"1bv>y!p26&!#=7$$"%D?!"#$"2:b-u]0t+%!#>7$$"&v.#!"$$"170FC2tkF!#=7$$"$0#!""$"2j&RT%*H0a9!#>7$$"&D1#!"$$"2#yBzZM=c9!#?7$$"%v?!"#$!2.?Ai'\T%4"!#>7$$"&v3#!"$$!2aKjij&=2A!#>7$$"$5#!""$!2$*\eqt)oVJ!#>7$$"&D6#!"$$!2Z`Nyf(omQ!#>7$$"%D@!"#$!10Vb@(=>N%!#=7$$"&v8#!"$$!1&\$yv'p&)e%!#=7$$"$:#!""$!1)\/E'y/zX!#=7$$"&D;#!"$$!17vU:H4QV!#=7$$"%v@!"#$!1ud#Gm:8*Q!#=7$$"&v=#!"$$!2O<Ay;rKF$!#>7$$"$?#!""$!2Q9uY%**=DD!#>7$$"&D@#!"$$!2NyyId-Dp"!#>7$$"%DA!"#$!1YK8U$[HA)!#>7$$"&vB#!"$$"2CL<)G=O<R!#@7$$"$D#!""$"1vz&ef]w[)!#>7$$"&DE#!"$$"2HufsFo%o:!#>7$$"%vA!"#$"2O;)>ku-n@!#>7$$"&vG#!"$$"2Fp&*oTM6i#!#>7$$"$I#!""$"1$y)y."\h"H!#=7$$"&DJ#!"$$"1\<![MRj/$!#=7$$"%DB!"#$"1/;YG`l9I!#=7$$"&vL#!"$$"181%)es2KG!#=7$$"$N#!""$"/RzBSf;D!#;7$$"&DO#!"$$"2XxK$))f)=4#!#>7$$"%vB!"#$"2\%f6)f&z&e"!#>7$$"&vQ#!"$$"06WH#enG5!#<7$$"$S#!""$"2:#HUF'pq^%!#?7$$"&DT#!"$$!2fS@.>4t9"!#?7$$"%DC!"#$!1>8^)H2bU'!#>7$$"&vV#!"$$!2rp*pX&[s5"!#>7$$"$X#!""$!2a#GH0v$*)["!#>7$$"&DY#!"$$!2=iB(4z3t<!#>7$$"%vC!"#$!2$pm\rI&4&>!#>7$$"&v[#!"$$!2=Llm]x'>?!#>7$$"$]#!""$!22U]zY+@)>!#>-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"67-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q#x26"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-I#moG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6>Q0&ApplyFunction;6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%&fenceGQ&false6"/%*separatorGQ&false6"/%)stretchyGQ&false6"/%*symmetricGQ&false6"/%(largeopGQ&false6"/%.movablelimitsGQ&false6"/%'accentGQ&false6"/%'lspaceGQ&0.0em6"/%'rspaceGQ&0.0em6"-I(mfencedG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"t6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$")Vyg>!")$"(;#R!)!"($")Vyg>!")-%'CURVESG6%7ew7$$""!!""$"""!""7$$"$D"!"$$"1p;!)*R0ux&!#<7$$"#D!"#$"2kJ0z[`xf#!#=7$$"$v$!"$$"1$4A*=!e!\L!#=7$$""&!""$!27s&*o%REH6!#=7$$"$D'!"$$!1n&Qa;_"4>!#<7$$"#v!"#$!2<FCBt5w6#!#=7$$"$v)!"$$!2Y!3.+)pk'=!#=7$$"#5!""$!10yWEM!eE"!#<7$$"%D6!"$$!1k<!ypQJA%!#=7$$"$D"!"#$"1=-b/+AGc!#=7$$"%v8!"$$"2=bq:8Pjf"!#=7$$"#:!""$"19VwvKA&f#!#<7$$"%D;!"$$"2DnAf$H#))[$!#=7$$"$v"!"#$"1C"zGG!\?U!#<7$$"%v=!"$$"1'e"=+ip[Z!#<7$$"#?!""$"1e**ec;]Z]!#<7$$"%D@!"$$"2Mpi(43P1^!#=7$$"$D#!"#$"2;yMi"*Q$H\!#=7$$"%vB!"$$"1i')\@()eLX!#<7$$"#D!""$"2/nfUB@v%R!#=7$$"%DE!"$$"1zP\!pJ%3K!#<7$$"$v#!"#$"1Y*)Hk%=*fB!#<7$$"%vG!"$$"24Rzq[h"\9!#=7$$"#I!""$"1v`5Nb2U_!#=7$$"%DJ!"$$!1VrE'Rngo$!#=7$$"$D$!"#$!2X7pt)o(p="!#=7$$"%vL!"$$!2'zZne$)f%*=!#=7$$"#N!""$!1wpNVWqiC!#<7$$"%DO!"$$!2-_vSdB6(G!#=7$$"$v$!"#$!1*4QsPK)3J!#<7$$"%vQ!"$$!2OLwk@2S<$!#=7$$"#S!""$!29xbA">gtI!#=7$$"%DT!"$$!2o1(*>Y,D#G!#=7$$"$D%!"#$!2sT8^(*>BW#!#=7$$"%vV!"$$!23Fq+&\#*f>!#=7$$"#X!""$!2x$Gj$**ydS"!#=7$$"%DY!"$$!1'Q)yW'R>7)!#=7$$"$v%!"#$!2V^;kh8f6#!#>7$$"%v[!"$$"1J'*R0-V^O!#=7$$"#]!""$"16K>@3K,*)!#=7$$"%D^!"$$"2Xi!*eDV(R8!#=7$$"$D&!"#$"2ZZ4p>Qbp"!#=7$$"%v`!"$$"1E"=io/\%>!#<7$$"#b!""$"1TuwjqN"3#!#<7$$"%Dc!"$$"2BV"p1"4X5#!#=7$$"$v&!"#$"1c>U\'R(>?!#<7$$"%ve!"$$"1o!QTk&eP=!#<7$$"#g!""$"2&*Qxd;4Hd"!#=7$$"%Dh!"$$"1kP\EO*QC"!#<7$$"$D'!"#$"0.[-Q*H4()!#<7$$"%vj!"$$"1bpgcRbaZ!#=7$$"#l!""$"1XO@JXo!)y!#>7$$"%Dm!"$$!10/$e1Y&))H!#=7$$"$v'!"#$!1@X]C,(\R'!#=7$$"%vo!"$$!03\'f*y+G*!#<7$$"#q!""$!1co'y'3z_6!#<7$$"%Dr!"$$!2^4p=a\hI"!#=7$$"$D(!"#$!2sHIAi^WQ"!#=7$$"%vt!"$$!2P2pKex!)Q"!#=7$$"#v!""$!2#RK"*=!p6K"!#=7$$"%Dw!"$$!2@nvK,,7>"!#=7$$"$v(!"#$!27dyZR5%35!#=7$$"%vy!"$$!1v3Gw<<^y!#=7$$"#!)!""$!0H$3ywz\`!#<7$$"%D")!"$$!2(f^+6\DAF!#>7$$"$D)!"#$!2$>G[[jo*3"!#?7$$"%v$)!"$$"29#3t]7\eB!#>7$$"#&)!""$"17%4%HGcjX!#=7$$"%D')!"$$"1X'*[@#G(4k!#=7$$"$v)!"#$"0s4X]UU#y!#<7$$"%v))!"$$"02MmGU/w)!#<7$$"#!*!""$"/^CN#*f)>*!#;7$$"%D"*!"$$"1\86&ef`9*!#=7$$"$D*!"#$"1R+.?*z=j)!#=7$$"%v$*!"$$"1pvww"H3r(!#=7$$"#&*!""$"1Vb,,WZ_k!#=7$$"%D'*!"$$"1K='3o,,%\!#=7$$"$v*!"#$"2$zeXfE/lK!#>7$$"%v)*!"$$"1/v+=:e@:!#=7$$"$+"!""$!0xS_nE*z>!#=7$$"&D,"!"$$!2dPU4&f%z!=!#>7$$"%D5!"#$!2`p^DMjIB$!#>7$$"&v."!"$$!1k\eb,&=T%!#=7$$"$0"!""$!1'[RU%G&))H&!#=7$$"&D1"!"$$!1)**o%\F.me!#=7$$"%v5!"#$!1,X)z+yJ5'!#=7$$"&v3"!"$$!1h9()e%)Q<g!#=7$$"$5"!""$!1t9iLLrJc!#=7$$"&D6"!"$$!1&Q)e<)fI)\!#=7$$"%D6!"#$!1JZ1h1_>T!#=7$$"&v8"!"$$!2/#)\F')*G(4$!#>7$$"$:"!""$!2CzcWfYt(>!#>7$$"&D;"!"$$!1"z864()3A)!#>7$$"%v6!"#$"2D)[%[E1"zI!#?7$$"&v="!"$$"2-)\pHg'oN"!#>7$$"$?"!""$"2Fqh(=)GjF#!#>7$$"&D@"!"$$"2V')y\i;s-$!#>7$$"%D7!"#$"1)>GK$4D"e$!#=7$$"&vB"!"$$"1Qe/CSw@R!#=7$$"$D"!""$"07]7&4(Q/%!#<7$$"&DE"!"$$"1k_o=Y.aR!#=7$$"%v7!"#$"2a1ri8"3pO!#>7$$"&vG"!"$$"2FWW")=ZZ@$!#>7$$"$I"!""$"1i")H$3gQi#!#=7$$"&DJ"!"$$"2)ft37SEM>!#>7$$"%D8!"#$"1'*Ho-Ah'="!#=7$$"&vL"!"$$"2m%[9jmW@U!#?7$$"$N"!""$!2/'zAI5N%>$!#?7$$"&DO"!"$$!2w^%f/E)=+"!#>7$$"%v8!"#$!1#oOpA[Sf"!#=7$$"&vQ"!"$$!2'>mf$Gg62#!#>7$$"$S"!""$!1">?$>1r:C!#=7$$"&DT"!"$$!1ZT@S4#zh#!#=7$$"%D9!"#$!2bfYd_!zvE!#>7$$"&vV"!"$$!1urAWru%f#!#=7$$"$X"!""$!2t]"=]=%pQ#!#>7$$"&DY"!"$$!16Y0,SCq?!#=7$$"%v9!"#$!2dt@-x/qm"!#>7$$"&v["!"$$!2C7lDBlE?"!#>7$$"$]"!""$!1\AJs])G/(!#>7$$"&D^"!"$$!2B.)>:t%4*>!#?7$$"%D:!"#$"1[H-^0FpG!#>7$$"&v`"!"$$"1t;g&yUEI(!#>7$$"$b"!""$"28l1<gG46"!#>7$$"&Dc"!"$$"2&RxDpWE89!#>7$$"%v:!"#$"1(G?mJ"\E;!#=7$$"&ve"!"$$"2^%>6+u'\u"!#>7$$"$g"!""$"2;kK>+y"o<!#>7$$"&Dh"!"$$"1*44Gdk/q"!#=7$$"%D;!"#$"2y*G5NN_]:!#>7$$"&vj"!"$$"2v4o2\82L"!#>7$$"$l"!""$"2o(pm%*p@c5!#>7$$"&Dm"!"$$"0_EVPy5W(!#=7$$"%v;!"#$"1J?"*3^wBT!#>7$$"&vo"!"$$"1[wj$>ol*y!#?7$$"$q"!""$!2V<q!z0O"R#!#?7$$"&Dr"!"$$!1r5>'4'*pE&!#>7$$"%D<!"#$!1hnh&3]#4x!#>7$$"&vt"!"$$!1VtBA@\>'*!#>7$$"$v"!""$!2Em*f!pvJ4"!#>7$$"&Dw"!"$$!2cX2%R%>9;"!#>7$$"%v<!"#$!2:(QQe2(o;"!#>7$$"&vy"!"$$!2cs^y7!*G6"!#>7$$"$!=!""$!1j&Q.Oac+"!#=7$$"&D"=!"$$!1;)4#Hb!o`)!#>7$$"%D=!"#$!1Y%*Ri0fsm!#>7$$"&v$=!"$$!1(Hv3_%HyX!#>7$$"$&=!""$!2%G;)zHWLP#!#?7$$"&D'=!"$$!2Z=7)Q5ce<!#@7$$"%v=!"#$"2dI@flsK!>!#?7$$"&v)=!"$$"29/Fvgjbw$!#?7$$"$!>!""$"1#GS=GF#H`!#>7$$"&D">!"$$"1G/g--MKl!#>7$$"%D>!"#$"1(y'z<:$[L(!#>7$$"&v$>!"$$"18&4gYZ#>x!#>7$$"$&>!""$"1(z$)fuD.p(!#>7$$"&D'>!"$$"1Uovs-Zts!#>7$$"%v>!"#$"1`&3"[sE7l!#>7$$"&v)>!"$$"1s&fr%RAla!#>7$$"$+#!""$"1*[`CXS>?%!#>7$$"&D,#!"$$"1#=kj=T*)z#!#>7$$"%D?!"#$"1T,AYoRN8!#>7$$"&v.#!"$$!21AU(>oR56!#@7$$"$0#!""$!2d[yzbz!o9!#?7$$"&D1#!"$$!2v*4C?'\@n#!#?7$$"%v?!"#$!2wJ'yn$36n$!#?7$$"&v3#!"$$!21"*=3\DiU%!#?7$$"$5#!""$!1'*\y4tO8\!#>7$$"&D6#!"$$!1$=]&*3uL7&!#>7$$"%D@!"#$!1yrGUolh]!#>7$$"&v8#!"$$!1"egpKzqu%!#>7$$"$:#!""$!1Y;t(GB-@%!#>7$$"&D;#!"$$!2O-45Ug6\$!#?7$$"%v@!"#$!1UM+uD(oj#!#>7$$"&v=#!"$$!2Gkj(=:Z)p"!#?7$$"$?#!""$!1X%y+h,PG(!#?7$$"&D@#!"$$"2=9i(**4[CA!#@7$$"%DA!"#$"2=Jx6^Hp5"!#?7$$"&vB#!"$$"2DX:KB1T)=!#?7$$"$D#!""$"2nCE\S>3_#!#?7$$"&DE#!"$$"1DaB`n%H*H!#>7$$"%vA!"#$"2$RQj[85'G$!#?7$$"&vG#!"$$"1rN)Qj'z&R$!#>7$$"$I#!""$"2&Q#H+N+rK$!#?7$$"&DJ#!"$$"1>QfNW#Q4$!#>7$$"%DB!"#$"2<l!41*=tr#!#?7$$"&vL#!"$$"1$f@-b`\A#!#>7$$"$N#!""$"1v)oHu#Q[;!#>7$$"&DO#!"$$"2lj#y\Op@5!#?7$$"%vB!"#$"1n+dRLQ&z$!#?7$$"&vQ#!"$$!2'*\%*)\XaYC!#@7$$"$S#!""$!1[\/\0-.#)!#?7$$"&DT#!"$$!2%QKmEC0@8!#?7$$"%DC!"#$!1B,^gT(es"!#>7$$"&vV#!"$$!2M.$*z&Q")>?!#?7$$"$X#!""$!23uuKo,W>#!#?7$$"&DY#!"$$!1%eL"f\qZA!#>7$$"%vC!"#$!2kc%zyu/%=#!#?7$$"&v[#!"$$!0x"f(4GM,#!#=7$$"$]#!""$!2-B()Qf&o]<!#?-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"67-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q#x36"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-I#moG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6>Q0&ApplyFunction;6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%&fenceGQ&false6"/%*separatorGQ&false6"/%)stretchyGQ&false6"/%*symmetricGQ&false6"/%(largeopGQ&false6"/%.movablelimitsGQ&false6"/%'accentGQ&false6"/%'lspaceGQ&0.0em6"/%'rspaceGQ&0.0em6"-I(mfencedG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"t6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$")(>!\&)!")$")%)eqk!")$"(-\D"!"(-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"t6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q+x1,~x2,~x36"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-%%ROOTG6'-%)BOUNDS_XG6#$"%55!""-%)BOUNDS_YG6#$"#]!""-%-BOUNDS_WIDTHG6#$"%!)G!""-%.BOUNDS_HEIGHTG6#$"%?O!""-%)CHILDRENG6"