Math 2650 - Qualatative AnalysisDirection FieldsA. J. MeirCopyright (C) A. J. Meir. All rights reserved.This worksheet is for educational use only. No part of this publication may be reproduced or transmitted for profit in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system without prior written permission from the author. Not for profit distribution of the software is allowed without prior written permission, providing that the worksheet is not modified in any way and full credit to the author is acknowledged.

One of the emphases of the class is qualitative analysis.This is important since most differential equations cannot be solved explicitly, although in many cases we can still say someting about the solution to the equation (existence, uniqueness, and qualatative behavior).Even thogh we may not be able to find an explicit representation for the solution we may be able to show the solution exists and that it is unique, furthermore we may be able to answer the questions:Does the solution tend to 0 or NiMlKWluZmluaXR5Rw== as NiMlInRH tends to NiMlKWluZmluaXR5Rw==?Is the solution periodic, and if so with what period?Does the solution approach 0 , or some other value only as NiMlInRH tends to NiMlKWluZmluaXR5Rw==, or for some finite time NiMlInRH?Does the solution "converege" to some other function as NiMlInRH tends to NiMlKWluZmluaXR5Rw==?

Starting the DE tools. The basic Maple command for the graphical representation of direction fields and approximate solution curves is DEplot ; it is part of a package of routines called DEtools, which must be explicitly loaded with the command.with(DEtools):

The direction field is comprised of slope lines of the differential equation, for example,NiMvKiYlI2R4RyIiIiUjZHRHISIiLSUiZkc2JCUidEclInhHthen NiMtJSJmRzYkJSJ0RyUieEc= is the slope of the graph of NiMtJSJ4RzYjJSJ0Rw== the solution at NiMlInRH.A solution of the differential equation is a function whose graph is consistent with the direction field (that is the tangent to the graph at each point must coincide with the slope line at that point).Isoclines are curves along which the slope lines have constant slope (they are given by NiMvLSUiZkc2JCUidEclInhHJSJjRw==, that is isoclines are level curves of the function f).

Some examples

We will set k=1. k:=1:DEplot(D(x)(t)=k*x(t),x(t),t=-4..4,x=-4..4);

-%%PLOTG6%-%'CURVESG6^dl7%7$$!3R'f'eJ,1^S!#<$!3W9Olt%fdz$F,7$$!3g.MTo)R*[RF,$!3c&QYj_SU?%F,7$$!3U"4kBU*)*>RF,$!3(*)f+8vOI5%F,7%7$$!3/\w++v+IOF,F-7$$!3EcW$oB()y_$F,F27$$!33W^y!zO*)\$F,F77%7$$!3q,(G%o[&*3KF,F-7$$!3#*3bD0Y$o5$F,F27$$!3t'>1#fT)y2$F,F77%7$$!3Na(\oB-zy#F,F-7$$!3chlnt>y&o#F,F27$$!3R\siF:$ol#F,F77%7$$!3+23F0'\oO#F,F-7$$!3B9w4U$HZE#F,F27$$!3/-$[g*)ydB#F,F77%7$$!3mf=ptpzX>F,F-7$$!3)om=0rwO%=F,F27$$!3#\NpWEEZ"=F,F77%7$$!3K7H6UVuC:F,F-7$$!3a>(R*ySiA9F,F27$$!3c2/*GjtOR"F,F77%7$$!3)\'R`5<p.6F,F-7$$!3>s2OZ9d,5F,F27$$!3?,Y68+@E(*!#=F77%7$$!3Jw,b*y!REoFipF-7$$!3[[#=y:)=0eFipF27$$!3wF^K(p$o:bFipF77%7$$!3'GqgPZkeh#FipF-7$$!3wu(G?%=m%f"FipF27$$!3Iac`"Qd^I"FipF77%7$$"3Kq(G?%=m%f"FipF-7$$"3U)pgPZkeh#FipF27$$"3:>QDM*o`!HFipF77%7$$"3/W#=y:)=0eFipF-7$$"3'=<]&*y!REoFipF27$$"3g#HV+D&*e6(FipF77%7$$"3vr2OZ9d,5F,F-7$$"3`kR`5<p.6F,F27$$"3]wKec@kK6F,F77%7$$"34>(R*ySiA9F,F-7$$"3)="H6UVuC:F,F27$$"3$QAi")y%p`:F,F77%7$$"3Wm'=0rwO%=F,F-7$$"3Af=ptpzX>F,F27$$"3=r6u>uuu>F,F77%7$$"3y8w4U$HZE#F,F-7$$"3c13F0'\oO#F,F27$$"3u=,K^+!eR#F,F77%7$$"37hlnt>y&o#F,F-7$$"3"Rv\oB-zy#F,F27$$"35m!**Go_o"GF,F77%7$$"3Z3bD0Y$o5$F,F-7$$"3E,(G%o[&*3KF,F27$$"3W8!yWJ0zB$F,F77%7$$"3#eXMoB()y_$F,F-7$$"3g[w++v+IOF,F27$$"3ygp0Yz&*eOF,F77%7$$"3;.MTo)R*[RF,F-7$$"3R'f'eJ,1^SF,F27$$"3d3fjx0,!3%F,F77%7$$!3p]gq'e`m0%F,$!3a>yOjr=wLF,7$$!3I\RH8kMVRF,$!3w&GuMd2<y$F,7$$!3@8@o%3)=<RF,$!3;_9dKkuzOF,7%7$$!3N.r7b4gNOF,Ffx7$$!3'>+:<y$HANF,F[y7$$!3'e;.JXNh\$F,F`y7%7$$!3+c"[NK[X@$F,Ffx7$$!3hag8]6C,JF,F[y7$$!3_=U_@G3vIF,F`y7%7$$!3m3#p>p&\$z#F,Ffx7$$!3E2rb=&)=!o#F,F[y7$$!3=r_%**=ISl#F,F`y7%7$$!3Jh-RgIWsBF,Ffx7$$!3#*f"yp)e8fAF,F[y7$$!3%QKm$ev(HB#F,F`y7%7$$!3u88")G/R^>F,Ffx7$$!3!G@*RbK3Q=F,F[y7$$!3\wtyE\#>"=F,F`y7%7$$!3SmBB(zP.`"F,Ffx7$$!3Xl-#QiIqT"F,F[y7$$!39H%3_Hs3R"F,F`y7%7$$!31>Mll^G46F,Ffx7$$!36"=8C#*z(f**FipF[y7$$!3)z"[HOm>)p*FipF`y7%7$$!38<ZuS`K#)oFipFfx7$$!3m2Pi1OD\dFipF[y7$$!3_W`]?.n([&FipF`y7%7$$!3oV_&\-*zrEFipFfx7$$!3?MU$3HF(Q:FipF[y7$$!3Orer/S9x7FipF`y7%7$$"3wHU$3HF(Q:FipFfx7$$"3CR_&\-*zrEFipF[y7$$"3O-O26BQLHFipF`y7%7$$"3A.Pi1OD\dFipFfx7$$"3p7ZuS`K#)oFipF[y7$$"3#e2joi3R9(FipF`y7%7$$"3mwJTA*z(f**FipFfx7$$"3h=Mll^G46F,F[y7$$"3#\DlU\Va8"F,F`y7%7$$"3,l-#QiIqT"F,Ffx7$$"3'fOKszP.`"F,F[y7$$"3F-U%e7'\c:F,F`y7%7$$"3N7#*RbK3Q=F,Ffx7$$"3I88")G/R^>F,F[y7$$"3i\JUd([v(>F,F`y7%7$$"3[f"yp)e8fAF,Ffx7$$"3'3E!RgIWsBF,F[y7$$"3'p4-!*Q,')R#F,F`y7%7$$"3"o5d&=&)=!o#F,Ffx7$$"3A3#p>p&\$z#F,F[y7$$"3IW5e?Sl>GF,F`y7%7$$"3<ag8]6C,JF,Ffx7$$"3cb"[NK[X@$F,F[y7$$"3l"**f@l12C$F,F`y7%7$$"3^,]r"y$HANF,Ffx7$$"3!H5F^&4gNOF,F[y7$$"3**Q*QPGf<m$F,F`y7%7$$"3')[RH8kMVRF,Ffx7$$"3!)\gq'e`m0%F,F[y7$$"3*e)yJ:>"G3%F,F`y7%7$$!3T;nN[hbjSF,$!31vCX56>dHF,7$$!3e$GV;&QWORF,$!3aN<Bj$)feLF,7$$!3V!onXc)y8RF,$!3,;+g1@!eD$F,7%7$$!31pxx;N]UOF,Fdel7$$!3COV1?7R:NF,Fiel7$$!33L())H$ft#\$F,F^fl7%7$$!3s@))>&)3X@KF,Fdel7$$!3)))Q&[)eQV4$F,Fiel7$$!3t&y49I$orIF,F^fl7%7$$!3Qu)>OD)R+GF,Fdel7$$!3aTk!p&fGtEF,Fiel7$$!3RQ3$)p1j]EF,F^fl7%7$$!3-F4/AcMzBF,Fdel7$$!3@%\F`KLAD#F,Fiel7$$!3/"*=DQ!y&HAF,F^fl7%7$$!3Yz>Y!*HHe>F,Fdel7$$!33Z&[Pp!=J=F,Fiel7$$!3#R%Hn1a_3=F,F^fl7%7$$!37KI))e.CP:F,Fdel7$$!3u*fp@1G,T"F,Fiel7$$!3d'*R4vFZ(Q"F,F^fl7%7$$!3y%3/ts(=;6F,Fdel7$$!3%R_1fIa2*)*FipFiel7$$!3M#\]^V,Um*FipF^fl7%7$$!3Ju8Dd4N^pFipFdel7$$!3[]q6!*zA!o&FipFiel7$$!3*)=5O>^n`aFipF^fl7%7$$!3S,>YTY#3u#FipFdel7$$!3ZwvKu;qp9FipFiel7$$!3;X:d.)[JC"FipF^fl7%7$$"3.svKu;qp9FipFdel7$$"3'p*=YTY#3u#FipFiel7$$"3+Gz@7vPnHFipF^fl7%7$$"3/Yq6!*zA!o&FipFdel7$$"3()p8Dd4N^pFipFiel7$$"3X,u+GQ!z<(FipF^fl7%7$$"3]>l!fIa2*)*FipFdel7$$"3L%3/ts(=;6F,Fiel7$$"3\(ozV,V)Q6F,F^fl7%7$$"3H*fp@1G,T"F,Fdel7$$"3oJI))e.CP:F,Fiel7$$"3$[jefk&*)f:F,F^fl7%7$$"3kY&[Pp!=J=F,Fdel7$$"3-z>Y!*HHe>F,Fiel7$$"3=#ePvF[4)>F,F^fl7%7$$"3w$\F`KLAD#F,Fdel7$$"3eE4/AcMzBF,Fiel7$$"3vHl644+-CF,F^fl7%7$$"35Tk!p&fGtEF,Fdel7$$"3$R()>OD)R+GF,Fiel7$$"34xapSN0BGF,F^fl7%7$$"3W)Q&[)eQV4$F,Fdel7$$"3G@))>&)3X@KF,Fiel7$$"3WCWFsh5WKF,F^fl7%7$$"3!eLk+A"R:NF,Fdel7$$"3ioxx;N]UOF,Fiel7$$"3xrL&Q!)e^m$F,F^fl7%7$$"39$GV;&QWORF,Fdel7$$"3_:nN[hbjSF,Fiel7$$"3B=BVN9@'3%F,F^fl7%7$$!3(H!R)z9^A2%F,$!3"H@287-"RDF,7$$!3-(4;?&)[x#RF,$!3-.">#*3#eMHF,7$$!3FN/$3_*f4RF,$!3sR#)\x`*3$GF,7%7$$!3jb\S;&)>^OF,Fbbm7$$!3o\rV?ip1NF,Fgbm7$$!3#z[^#*)oa)[$F,F\cm7%7$$!3G3g#[)e9IKF,Fbbm7$$!3L-#e))eVc3$F,Fgbm7$$!3eSDndU\nIF,F\cm7%7$$!3%41ZKD$44GF,Fbbm7$$!3)\Dzs&4fkEF,Fgbm7$$!3B$f$4E;WYEF,F\cm7%7$$!3f8"o;iS!)Q#F,Fbbm7$$!3k2.qD$QNC#F,Fgbm7$$!3*ek9X**)QDAF,F\cm7%7$$!3Dm"*3!*z)p'>F,Fbbm7$$!3Ig87%p&[A=F,Fgbm7$$!3a)pNHOOV!=F,F\cm7%7$$!3!*=-^e`$fa"F,Fbbm7$$!3'HTUD1L9S"F,Fgbm7$$!3>^nNJPG$Q"F,F\cm7%7$$!3cr7$ps#)[7"F,Fbbm7$$!35cYj4V!Q!)*FipFgbm7$$!3WP!yx*4JA'*FipF\cm7%7$$!39UK_`4IQqFipFbbm7$$!3k#=XQ*zF$f&FipFgbm7$$!3*Rc))>o%y6aFipF\cm7%7$$!3poPtPYxFGFipFbbm7$$!3[4d0y;v#Q"FipFgbm7$$!35"4*>m$e7?"FipF\cm7%7$$"3/0d0y;v#Q"FipFbbm7$$"3CkPtPYxFGFipFgbm7$$"3N#Q!f\zE4IFipF\cm7%7$$"3?y^%Q*zF$f&FipFbbm7$$"3qPK_`4IQqFipFgbm7$$"3Oc)z`E%z>sFipF\cm7%7$$"3m^Yj4V!Q!)*FipFbbm7$$"37r7$ps#)[7"F,Fgbm7$$"3(G$p6e?.V6F,F\cm7%7$$"3^7CaiIV,9F,Fbbm7$$"3Y=-^e`$fa"F,Fgbm7$$"3@!)ep*o%3k:F,F\cm7%7$$"3')f87%p&[A=F,Fbbm7$$"3"e;*3!*z)p'>F,Fgbm7$$"3cF[F@t8&)>F,F\cm7%7$$"3?2.qD$QNC#F,Fbbm7$$"398"o;iS!)Q#F,Fgbm7$$"3!\x`G&**=1CF,F\cm7%7$$"3aa#zs&4fkEF,Fbbm7$$"3]gqC`K44GF,Fgbm7$$"3DAFV%eUs#GF,F\cm7%7$$"3*=?e))eVc3$F,Fbbm7$$"3%y+E[)e9IKF,Fgbm7$$"3fp;,;_H[KF,F\cm7%7$$"3C\rV?ip1NF,Fbbm7$$"3=b\S;&)>^OF,Fgbm7$$"3$ph!fZyMpOF,F\cm7%7$$"3e'4;?&)[x#RF,Fbbm7$$"33-R)z9^A2%F,Fgbm7$$"3Gk&p"z/S!4%F,F\cm7%7$$!34Ny&R@gM3%F,$!3,B#H()=8D7#F,7$$!3Yk@/'yRl"RF,$!3B)>R'ed14DF,7$$!3"G!)\v/gV!RF,$!3s*o*y='4XS#F,7%7$$!3>)))yBe2Cm$F,F`_n7$$!37<KYar[&\$F,Fe_n7$$!3Zb3(fT2L[$F,Fj_n7%7$$!3&3%**z]\NTKF,F`_n7$$!3xpU)G_MW2$F,Fe_n7$$!373>R%yaA1$F,Fj_n7%7$$!3]$*4A>BI?GF,F`_n7$$!3UA`I"*=Q`EF,Fe_n7$$!3ygH"G:-7k#F,Fj_n7%7$$!39Y?k(o\#*R#F,F`_n7$$!33vjsf#HBB#F,Fe_n7$$!3V8SB@&\,A#F,Fj_n7%7$$!3"))4jg0(>y>F,F`_n7$$!3uFu9GmF6=F,Fe_n7$$!3'e1b'*)o4*z"F,Fj_n7%7$$!3Y^T[CW9d:F,F`_n7$$!3Q![ol*RA!R"F,Fe_n7$$!3^=h2eU/y8F,Fj_n7%7$$!37/_!Hz"4O6F,F`_n7$$!3YI`*)\Or"p*FipFe_n7$$!3x6<(\E;*p&*FipFj_n7%7$$!3ynDE8;R]rFipF`_n7$$!3+de5Mt="[&FipFe_n7$$!3KQA=\**Qf`FipFj_n7%7$$!3x$4tuHl)RHFipF`_n7$$!36%Q;$=5mq7FipFe_n7$$!3)fw#RLO')[6FipFj_n7%7$$"3nzjJ=5mq7FipF`_n7$$"3L*3tuHl)RHFipFe_n7$$"3Y2nR#oi;1$FipFj_n7%7$$"3c_e5Mt="[&FipF`_n7$$"3MjDE8;R]rFipFe_n7$$"3-#='=)**)=ssFipFj_n7%7$$"3-E`*)\Or"p*FipF`_n7$$"3o._!Hz"4O6F,Fe_n7$$"3blvRJ:F[6F,Fj_n7%7$$"3%*z%ol*RA!R"F,F`_n7$$"3-^T[CW9d:F,Fe_n7$$"3*G^wH;C$p:F,Fj_n7%7$$"3HFu9GmF6=F,F`_n7$$"3P)4jg0(>y>F,Fe_n7$$"3Cgab%zw.*>F,Fj_n7%7$$"3kujsf#HBB#F,F`_n7$$"3qX?k(o\#*R#F,Fe_n7$$"3O2W8E%H9T#F,Fj_n7%7$$"3)>K08*=Q`EF,F`_n7$$"31$*4A>BI?GF,Fe_n7$$"3qaLrd?[KGF,Fj_n7%7$$"3KpU)G_MW2$F,F`_n7$$"3SS**z]\NTKF,Fe_n7$$"30-BH*oMND$F,Fj_n7%7$$"3o;KYar[&\$F,F`_n7$$"3v())yBe2Cm$F,Fe_n7$$"3R\7(3K(euOF,Fj_n7%7$$"3-k@/'yRl"RF,F`_n7$$"34Ny&R@gM3%F,Fe_n7$$"3=(>]C&*Rc4%F,Fj_n7%7$$!3E_&QD(\E)4%F,$!3h1![$y0b3<F,7$$!3uZ9YF]t,RF,$!3$*>D'e5B43#F,7$$!3'oT#yU%Qx*QF,$!3([8.c%etv>F,7%7$$!3"\gf4M7sn$F,F^\o7$$!3R+D)eR#o![$F,Fc\o7$$!3`pM?6eowMF,Fh\o7%7$$!3dd1Q4(fhD$F,F^\o7$$!3/`NIk(H'fIF,Fc\o7$$!3=AXizJjbIF,Fh\o7%7$$!3A5<!y22^$GF,F^\o7$$!3q0YsKrdQEF,Fc\o7$$!3%[dX![0eMEF,Fh\o7%7$$!3)GwAiWaST#F,F^\o7$$!3Nec9,X_<AF,Fc\o7$$!3]FmY;z_8AF,Fh\o7%7$$!3a:Qk9=+$*>F,F^\o7$$!3+6ncp=Z'z"F,Fc\o7$$!3#*zw)[GvCz"F,Fh\o7%7$$!3>o[1$=\>d"F,F^\o7$$!3mjx)zB>aP"F,Fc\o7$$!3eK(3LlA9P"F,Fh\o7%7$$!3&3#f[^l*3:"F,F^\o7$$!3Jk")3kgmV&*FipFc\o7$$!3kayH<-q.&*FipFh\o7%7$$!3#Rtp!*>R%)H(FipF^\o7$$!3'3p)H[(RJL&FipFc\o7$$!3="Q3:!R<$H&FipFh\o7%7$$!3[g-G$)G"z3$FipF^\o7$$!38<#4DV8E7"FipFc\o7$$!3J2*=deZE3"FipFh\o7%7$$"3p7#4DV8E7"FipF^\o7$$"3/c-G$)G"z3$FipFc\o7$$"3sl02I(yy7$FipFh\o7%7$$"3U'o)H[(RJL&FipF^\o7$$"3[H(p!*>R%)H(FipFc\o7$$"3;R+'e/0%QtFipFh\o7%7$$"3()f")3kgmV&*FipF^\o7$$"3S?f[^l*3:"F,Fc\o7$$"3[^\;OJ*[:"F,Fh\o7%7$$"3@jx)zB>aP"F,F^\o7$$"3un[1$=\>d"F,Fc\o7$$"3#))*Qund%fd"F,Fh\o7%7$$"3c5ncp=Z'z"F,F^\o7$$"35:Qk9=+$*>F,Fc\o7$$"3=YGK*R)*p*>F,Fh\o7%7$$"3"zlX6]Cv@#F,F^\o7$$"3WiFAYW09CF,Fc\o7$$"3I$z,4.^!=CF,Fh\o7%7$$"3E0YsKrdQEF,F^\o7$$"3y4<!y22^$GF,Fc\o7$$"3kS2[iO5RGF,Fh\o7%7$$"3g_NIk(H'fIF,F^\o7$$"38d1Q4(fhD$F,Fc\o7$$"3*zofSHc,E$F,Fh\o7%7$$"3&**\#)eR#o![$F,F^\o7$$"3Y/'f4M7sn$F,Fc\o7$$"3KN'Qc#*37o$F,Fh\o7%7$$"3HZ9YF]t,RF,F^\o7$$"3O^&QD(\E)4%F,Fc\o7$$"3o#e<sbhA5%F,Fh\o7%7$$!3(z58\#3@=TF,$!3Kx&QVyy%*H"F,7$$!3e"*o3v"*y")QF,$!3`aSrO'*)yk"F,7$$!39!\GsgC%*)QF,$!3<Rz?oP!Ha"F,7%7$$!31hTL$>erp$F,F\io7$$!3BWz]VltgMF,Faio7$$!3"Ga\c(>PoMF,Ffio7%7$$!3s8_vhb5wKF,F\io7$$!3!p**G>"RoRIF,Faio7$$!3Y&fqSM>t/$F,Ffio7%7$$!3Pmi<IH0bGF,F\io7$$!3b\+N!GJ'=EF,Faio7$$!37[;\7nEEEF,Ffio7%7$$!3.>tf)H+SV#F,F\io7$$!3?-6x['yv>#F,Faio7$$!3x+F"439_?#F,Ffio7%7$$!3pr$=qmZH,#F,F\io7$$!3'[:#><g_w<F,Faio7$$!3U`PL\9;%y"F,Ffio7%7$$!3MC%Ra.&*=f"F,F\io7$$!3^2Kh&QtaN"F,Faio7$$!321[v<)3JO"F,Ffio7%7$$!3*pZgQSU3<"F,F\io7$$!3"GgU.a2UM*FipFaio7$$!3M(ee<'=c?%*FipFfio7%7$$!3U&H:Gs(*y\(FipF\io7$$!3OHJbC7oL^FipFaio7$$!3*Q6pfaN+@&FipFfio7%7$$!3)>#e-29P(G$FipF\io7$$!3udlj(3\:B*!#>Faio7$$!3-.kz,B4&***F__pFfio7%7$$"3L8lj(3\:B*F__pF\io7$$"3`<e-29P(G$FipFaio7$$"3,L)4c3<5@$FipFfio7%7$$"3#\7`XA"oL^FipF\io7$$"3)4H:Gs(*y\(FipFaio7$$"3Y1$*R,Ma@uFipFfio7%7$$"3O)fU.a2UM*FipF\io7$$"3aw/'QSU3<"F,Faio7$$"3)z()=<(p?j6F,Ffio7%7$$"312Kh&QtaN"F,F\io7$$"3!RURa.&*=f"F,Faio7$$"3LDyH.'fUe"F,Ffio7%7$$"3Ta@><g_w<F,F\io7$$"3Cr$=qmZH,#F,Faio7$$"3osn([B7`+#F,Ffio7%7$$"3u,6x['yv>#F,F\io7$$"3e=tf)H+SV#F,Faio7$$"3-?dXm[OECF,Ffio7%7$$"36\+N!GJ'=EF,F\io7$$"3$fEw,$H0bGF,Faio7$$"3PnY.)\<u%GF,Ffio7%7$$"3X'**G>"RoRIF,F\io7$$"3G8_vhb5wKF,Faio7$$"3r9OhH,ZoKF,Ffio7%7$$"3zVz]VltgMF,F\io7$$"3igTL$>erp$F,Faio7$$"30iD>hF_*o$F,Ffio7%7$$"38"*o3v"*y")QF,F\io7$$"3(z58\#3@=TF,Faio7$$"3S4:x#Rv06%F,Ffio7%7$$!3k#))=n))**\9%F,$!3$\"GV#>,++*Fip7$$!3N<6G8,+bQF,$!3zb9lQIE07F,7$$!3l/t2T!H'zQF,$!3'[^6iq@H5"F,7%7$$!3IN*R^DZRs$F,F[fp7$$!3,q@q"[ZRV$F,F`fp7$$!3Jd$)\4kdeMF,Fefp7%7$$!3&z)4cBY*GI$F,F[fp7$$!3nAK7][*G,$F,F`fp7$$!3(*4%>zxBv.$F,Fefp7%7$$!3gS?)>*>%=)GF,F[fp7$$!3KvUa=A%=f#F,F`fp7$$!3ji/MY6Z;EF,Fefp7%7$$!3E$4./O*ygCF,F[fp7$$!3(zKlpe*yq@F,F`fp7$$!3G::w9&=a>#F,Fefp7%7$$!3#f9C)GntR?F,F[fp7$$!3j!Q'Qbpt\<F,F`fp7$$!3%zc#=$)eOu<F,Fefp7%7$$!3d)>Xs4%o=;F,F[fp7$$!3GLu!QK%oG8F,F`fp7$$!3f?Og^KJ`8F,Fefp7%7$$!3A^iml9j(>"F,F[fp7$$!3Je[GApJw!*FipF`fp7$$!3[KnC+igA$*FipFefp7%7$$!3#*RI(3M)ylxFipF[fp7$$!3'[Q&\11zl[FipF`fp7$$!3-fsX%))z?6&FipFefp7%7$$!3ZmN3D?EbNFipF[fp7$$!379"fq!Hk_lF__pF`fp7$$!3@]yn'oNb,*F__pFefp7%7$$"3rp!fq!Hk_lF__pF[fp7$$"3.iN3D?EbNFipF`fp7$$"3V)o@rus*3LFipFefp7%7$$"3U!Q&\11zl[FipF[fp7$$"3[NI(3M)ylxFipF`fp7$$"3Kh6"H1*\>vFipFefp7%7$$"3(Q&[GApJw!*FipF[fp7$$"3y]iml9j(>"F,F`fp7$$"3Zj+(y`-I<"F,Fefp7%7$$"3%GV2QK%oG8F,F[fp7$$"38)>Xs4%o=;F,F`fp7$$"3#3,\%p^0%f"F,Fefp7%7$$"3>!Q'Qbpt\<F,F[fp7$$"3ZXT#)GntR?F,F`fp7$$"3<ez-,y5:?F,Fefp7%7$$"3_F`'pe*yq@F,F[fp7$$"3"G4./O*ygCF,F`fp7$$"3^0pgK/;OCF,Fefp7%7$$"3)[FW&=A%=f#F,F[fp7$$"3:S?)>*>%=)GF,F`fp7$$"3&G&e=kI@dGF,Fefp7%7$$"3AAK7][*G,$F,F[fp7$$"3^()4cBY*GI$F,F`fp7$$"3?+[w&pl#yKF,Fefp7%7$$"3cp@q"[ZRV$F,F[fp7$$"3&[$*R^DZRs$F,F`fp7$$"3aZPMF$=$*p$F,Fefp7%7$$"3"p6"G8,+bQF,F[fp7$$"3k#))=n))**\9%F,F`fp7$$"3M&pA*e4P?TF,Fefp7%7$$!3o$*fzjw*z<%F,$!3'H4TBq$f">&Fip7$$!3J1S?OB+AQF,$!3$=LF]C&)*RuFip7$$!3bM7D"ps4(QF,$!3qbA8P+?3lFip7%7$$!3MYq@K]%pv$F,Fibq7$$!3(*e]i/(\4S$F,F^cq7$$!3?(Gs'f+#*\MF,Fccq7%7$$!3+*4Q1S#*eL$F,Fibq7$$!3i6h/tq*)zHF,F^cq7$$!3')RL4Gu')GIF,Fccq7%7$$!3l^"f!p(R["HF,Fibq7$$!3FkrYTW%)eDF,F^cq7$$!3_#R9lz9yg#F,Fccq7%7$$!3I/-[Pry$\#F,Fibq7$$!3$p@)))4=zP@F,F^cq7$$!3;Xa$\;in=#F,Fccq7%7$$!3'pD,f]MF2#F,Fibq7$$!3Op#4$y"Rnr"F,F^cq7$$!3h(\cL`4dw"F,Fccq7%7$$!3%)4BKu=o^;F,Fibq7$$!3-A.tYlo&H"F,F^cq7$$!3E]vx,plW8F,Fccq7%7$$!3\iLuU#H1B"F,Fibq7$$!3uYP^^"Rju)FipF^cq7$$!31Gg)>qUgB*FipFccq7%7$$!3]^Tk6hw&4)FipFibq7$$!3ItUsNG"e`%FipF^cq7$$!3gal>'Q;b-&FipFccq7%7$$!30yY&ezR_)QFipFibq7$$!3A,![$*>lGD$F__pF^cq7$$!3"*>32/2!*\")F__pFccq7%7$$"3"o&zM*>lGD$F__pFibq7$$"3htY&ezR_)QFipF^cq7$$"3u"R#QXi`&R$FipFccq7%7$$"3')oUsNG"e`%FipFibq7$$"31ZTk6hw&4)FipF^cq7$$"3ul=<hD11wFipFccq7%7$$"3IUP^^"Rju)FipFibq7$$"30iLuU#H1B"F,F^cq7$$"3!Q8'p())e;="F,Fccq7%7$$"3e@.tYlo&H"F,Fibq7$$"3R4BKu=o^;F,F^cq7$$"3:"3v#>:r-;F,Fccq7%7$$"3#*o#4$y"Rnr"F,Fibq7$$"3^c7!f]MF2#F,F^cq7$$"3GGS&3:kP-#F,Fccq7%7$$"3[;#)))4=zP@F,Fibq7$$"3'Q?![Pry$\#F,F^cq7$$"3ivHV#y;[W#F,Fccq7%7$$"3$Q;n9WW)eDF,Fibq7$$"3@^"f!p(R["HF,F^cq7$$"3'H#>,9%pe'GF,Fccq7%7$$"3=6h/tq*)zHF,Fibq7$$"3b)4Q1S#*eL$F,F^cq7$$"3Jq3fX?#pG$F,Fccq7%7$$"3_e]i/(\4S$F,Fibq7$$"3!f/<A.Xpv$F,F^cq7$$"3m<)prnuzq$F,Fccq7%7$$"3(e+/iL-?#QF,Fibq7$$"3o$*fzjw*z<%F,F^cq7$$"3*ew[(3t-HTF,Fccq7%7$$!3wT)\5[5g?%F,$!3eM.+#)obr;Fip7$$!3Ce,&*=&*)Rz$F,$!3IV"*yL%p*QDFip7$$!3%eIqq,_B(QF,$!3=!*="[!H9O=Fip7%7$$!3U%*3Z\y&\y$F,Fg_r7$$!3)3@rt)o$HP$F,F\`r7$$!3]e8\&Q*H^MF,Fa`r7%7$$!32Z>*y@0RO$F,Fg_r7$$!3ajAzbU)=&HF,F\`r7$$!3;6C"RvY-.$F,Fa`r7%7$$!3s**HJ'e_G%HF,Fg_r7$$!3?;L@C;$3`#F,F\`r7$$!3#QYLB7%>4EF,Fa`r7%7$$!3Q_Sta**z@DF,Fg_r7$$!3&)oVj#**y(4@F,F\`r7$$!3Y;Xv!\T")=#F,Fa`r7%7$$!3/0^:Btu+@F,Fg_r7$$!3G@a0hjs)o"F,F\`r7$$!37pb<f))3n<F,Fa`r7%7$$!3"z:w:p%pz;F,Fg_r7$$!3%RZw%HPnn7F,F\`r7$$!3y@mfFi.Y8F,Fa`r7%7$$!3d5s**f?ke7F,Fg_r7$$!33n_(*y4@m%)FipF\`r7$$!3OWn<gf$)\#*FipFa`r7%7$$!3:JE=%G%*eP)FipFg_r7$$!3j$z&=jYobUFipF\`r7$$!3"4F(QW'4$R]FipFa`r7%7$$!3qdJRozOlTFipFg_r7$$!3*3*>jRZ$e^%!#?F\`r7$$!3.wz(fGLyG)F__pFa`r7%7$$"3!oaJ'RZ$e^%FjerFg_r7$$"3E`JRozOlTFipF\`r7$$"3Vv;>()Hu"Q$FipFa`r7%7$$"3>*y&=jYobUFipFg_r7$$"3rEE=%G%*eP)FipF\`r7$$"3W\6)HIpAf(FipFa`r7%7$$"3ki_(*y4@m%)FipFg_r7$$"385s**f?ke7F,F\`r7$$"3Giq(=cz-="F,Fa`r7%7$$"3]tkZHPnn7F,Fg_r7$$"3Ydhd"p%pz;F,F\`r7$$"3j4gX$>K8g"F,Fa`r7%7$$"3$3Ub5OE()o"F,Fg_r7$$"3g/^:Btu+@F,F\`r7$$"3)p&\.D[QA?F,Fa`r7%7$$"3ToVj#**y(4@F,Fg_r7$$"3%>0MZ&**z@DF,F\`r7$$"3K/RhcuVVCF,Fa`r7%7$$"3w:L@C;$3`#F,Fg_r7$$"3G**HJ'e_G%HF,F\`r7$$"3m^G>)3!\kGF,Fa`r7%7$$"35jAzbU)=&HF,Fg_r7$$"3iY>*y@0RO$F,F\`r7$$"3,*zr(>Fa&G$F,Fa`r7%7$$"3W57P()o$HP$F,Fg_r7$$"3(R*3Z\y&\y$F,F\`r7$$"3OY2N^`f1PF,Fa`r7%7$$"3yd,&*=&*)Rz$F,Fg_r7$$"3wT)\5[5g?%F,F\`r7$$"3q$pHH)zkFTF,Fa`r7%7$Fe_r$"3)4L+?)obr;Fip7$Fj_r$"3IQ"*yL%p*QDFip7$$!3+E]'3LPS*QF,$"3&[4h+J&>mGFip7%7$Fe`rFd\s7$Fh`rFg\s7$$!3nygG*p%)HZ$F,F\]s7%7$F_arFd\s7$FbarFg\s7$$!3KJrqn?$>0$F,F\]s7%7$FiarFd\s7$F\brFg\s7$$!3)R=GhVz3j#F,F\]s7%7$FcbrFd\s7$FfbrFg\s7$$!3jO#\X!o#)4AF,F\]s7%7$F]crFd\s7$F`crFg\s7$$!3H*GqH<u()y"F,F\]s7%7$FgcrFd\s7$FjcrFg\s7$$!3%>M"RT:sn8F,F\]s7%7$FadrFd\s7$FddrFg\s7$$!35ZR7)4*om%*FipF\]s7%7$F[erFd\s7$F^erFg\s7$$!3ktWL#yihD&FipF\]s7%7$FeerFd\s7$FherFg\s7$$!3k**\amkjX5FipF\]s7%7$F`frFd\s7$FcfrFg\s7$$"3CtWC\)*)[;$FipF\]s7%7$FjfrFd\s7$F]grFg\s7$$"3qYR.lhTvtFipF\]s7%7$FdgrFd\s7$FggrFg\s7$$"37UB3[Ufe6F,F\]s7%7$F^hrFd\s7$FahrFg\s7$$"3Z*Gh'zokz:F,F\]s7%7$FhhrFd\s7$F[irFg\s7$$"3#oBS7^*p+?F,F\]s7%7$FbirFd\s7$FeirFg\s7$$"3;%=>G9_<U#F,F\]s7%7$F\jrFd\s7$F_jrFg\s7$$"3]J")RuZ!G%GF,F\]s7%7$FfjrFd\s7$FijrFg\s7$$"3&)yq(fSdQE$F,F\]s7%7$F`[sFd\s7$Fc[sFg\s7$$"3=EgbP+"\o$F,F\]s7%7$Fj[sFd\s7$F]\sFg\s7$$"3)R(\8pE'f5%F,F\]s7%7$Fgbq$"3_)3TBq$f">&Fip7$F\cq$"3QFt-X_)*RuFip7$$!3_!R=)zC=FRF,$"3!3A7hN)=)R(Fip7%7$$!3zYq@K]%pv$F,Fbds7$$!3_e]i/(\4S$F,Feds7$$!3uU%R#[)Hh]$F,Fjds7%7$FadqFbds7$FddqFeds7$$!3$e\gm@x]3$F,Fjds7%7$$!35_"f!p(R["HF,Fbds7$$!3$Q;n9WW)eDF,Feds7$$!3/[:3&eCSm#F,Fjds7%7$FeeqFbds7$FheqFeds7$$!39,E]`>(HC#F,Fjds7%7$$!3Sd7!f]MF2#F,Fbds7$FbfqFeds7$$!3e`O#>K>>#=F,Fjds7%7$FifqFbds7$F\gqFeds7$$!3B1ZM!pm3S"F,Fjds7%7$FcgqFbds7$FfgqFeds7$$!3)))edweS")z*FipFjds7%7$F]hqFbds7$F`hqFeds7$$!3V:"o=F9we&FipFjds7%7$FghqFbds7$$!3X)*zM*>lGD$F__pFeds7$$!3UT'yg&z3x8FipFjds7%7$$"3/azM*>lGD$F__pFbds7$FdiqFeds7$$"3-K3rf$QM$GFipFjds7%7$F[jqFbds7$F^jqFeds7$$"3#\I+bnkR/(FipFjds7%7$FejqFbds7$FhjqFeds7$$"3%y(*G"*4\a7"F,Fjds7%7$F_[rFbds7$Fb[rFeds7$$"3=DzqI<]Y:F,Fjds7%7$Fi[rFbds7$F\\rFeds7$$"3JsoGiVbn>F,Fjds7%7$$"3/;#)))4=zP@F,Fbds7$$"3I/-[Pry$\#F,Feds7$$"33?e'Q*pg)Q#F,Fjds7%7$F]]rFbds7$F`]rFeds7$$"3+nZWD'f'4GF,Fjds7%7$$"3t5h/tq*)zHF,Fbds7$$"3+*4Q1S#*eL$F,Feds7$$"3y9P-dArIKF,Fjds7%7$Fa^rFbds7$Fd^rFeds7$$"3ohEg))[w^OF,Fjds7%7$$"3U0S?OB+AQF,Fbds7$F^_rFeds7$$"3Z4;=?v"G2%F,Fjds7%7$Fiep$"3\5GV#>,++*Fip7$F^fp$"3Mb9lQIE07F,7$$!3[[$H4xWf&RF,$"3&f&4d\;Uv6F,7%7$FifpFh]t7$F\gpF[^t7$$!39,/NR@*[`$F,F`^t7%7$FcgpFh]t7$FfgpF[^t7$$!3!QXrx]RQ6$F,F`^t7%7$F]hpFh]t7$F`hpF[^t7$$!3W1D>woy#p#F,F`^t7%7$FghpFh]t7$FjhpF[^t7$$!35fNhWUtrAF,F`^t7%7$FaipFh]t7$$!3T!Q'Qbpt\<F,F[^t7$$!3J6Y.8;o]=F,F`^t7%7$$!3!))>Xs4%o=;F,Fh]t7$$!31Lu!QK%oG8F,F[^t7$$!3(Rmb9)*G'H9F,F`^t7%7$$!3W^iml9j(>"F,Fh]t7$FhjpF[^t7$$!3&orw)\jd35F,F`^t7%7$F_[qFh]t7$Fb[qF[^t7$$!3#RpxH=P_(eFipF`^t7%7$Fi[qFh]t7$$!3M6"fq!Hk_lF__pF[^t7$$!3Z?#)=n3rk;FipF`^t7%7$$"3$p1fq!Hk_lF__pFh]t7$Ff\qF[^t7$$"3(HD,'[a"ea#FipF`^t7%7$F]]qFh]t7$F`]qF[^t7$$"3UE2Rk<McnFipF`^t7%7$Fg]qFh]t7$$"3+^iml9j(>"F,F[^t7$$"35?!=!3oo'4"F,F`^t7%7$$"3iKu!QK%oG8F,Fh]t7$$"3N)>Xs4%o=;F,F[^t7$$"3WnpfR%Rx^"F,F`^t7%7$$"3(*zjQbpt\<F,Fh]t7$F^_qF[^t7$$"3c9f<r?zQ>F,F`^t7%7$Fe_qFh]t7$Fh_qF[^t7$$"3oh[v-Z%)fBF,F`^t7%7$F_`qFh]t7$Fb`qF[^t7$$"3.4QLMt*3y#F,F`^t7%7$Fi`qFh]t7$F\aqF[^t7$$"3QcF"f'*\>?$F,F`^t7%7$FcaqFh]t7$FfaqF[^t7$$"3s.<\(f-Ii$F,F`^t7%7$F]bqFh]t7$F`bqF[^t7$$"3^^12H_0WSF,F`^t7%7$Fjho$"3)odQVyy%*H"F,7$F_io$"33aSrO'*)yk"F,7$$!3BfBK?t_wRF,$"3%H\k1=4?g"F,7%7$FjioFjft7$F]joF]gt7$$!3)=TV()ouab$F,Fbgt7%7$FdjoFjft7$FgjoF]gt7$$!3akW;d?UMJF,Fbgt7%7$F^[pFjft7$Fa[pF]gt7$$!3><beD%pLr#F,Fbgt7%7$Fh[pFjft7$F[\pF]gt7$$!3%)pl+%z;BH#F,Fbgt7%7$Fb\pFjft7$Fe\pF]gt7$$!3\AwUiTEr=F,Fbgt7%7$F\]pFjft7$F_]pF]gt7$$!3:v'[3`6-X"F,Fbgt7%7$Ff]pFjft7$Fi]pF]gt7$$!3.G(p#**)e"H5F,Fbgt7%7$F`^pFjft7$Fc^pF]gt7$$!3)o!y!pni53'FipFbgt7%7$Fj^pFjft7$$!3Nclj(3\:B*F__pF]gt7$$!3:L$=6OO0(=FipFbgt7%7$$"3%>^Ow3\:B*F__pFjft7$Fh_pF]gt7$$"3-S6na**)*RBFipFbgt7%7$F_`pFjft7$Fb`pF]gt7$$"3Z81Yqi^]lFipFbgt7%7$Fi`pFjft7$F\apF]gt7$$"3"*3]ieU5w5F,Fbgt7%7$FcapFjft7$FfapF]gt7$$"3EcR?!*o:(\"F,Fbgt7%7$F]bpFjft7$F`bpF]gt7$$"3g.Hy@&4#=>F,Fbgt7%7$FgbpFjft7$FjbpF]gt7$$"3%4&=O`@ERBF,Fbgt7%7$FacpFjft7$FdcpF]gt7$$"3H)zS\y9.w#F,Fbgt7%7$F[dpFjft7$F^dpF]gt7$$"3jX(>lTn8=$F,Fbgt7%7$FedpFjft7$FhdpF]gt7$$"3)Hp)4[+U-OF,Fbgt7%7$F_epFjft7$FbepF]gt7$$"3KSwnzEZBSF,Fbgt7%7$F\\o$"3;1![$y0b3<F,7$Fa\o$"3\>D'e5B43#F,7$$!3)\/hYdJ3*RF,$"3b5C(=Lo[-#F,7%7$F\]oF\_u7$F_]oF__u7$$!3k(4#3V*y(pNF,Fd_u7%7$Ff]oF\_u7$Fi]oF__u7$$!3I]J]6js[JF,Fd_u7%7$F`^oF\_u7$Fc^oF__u7$$!3&H?C*zOnFFF,Fd_u7%7$Fj^oF\_u7$F]_oF__u7$$!3hb_M[5i1BF,Fd_u7%7$Fd_oF\_u7$Fg_oF__u7$$!3[3jw;%ob)=F,Fd_u7%7$F^`oF\_u7$Fa`oF__u7$$!39ht=&y:XY"F,Fd_u7%7$Fh`oF\_u7$F[aoF__u7$$!3!QT3O:jM/"F,Fd_u7%7$FbaoF\_u7$FeaoF__u7$$!3^kYH?_5CiFipFd_u7%7$$!3.h-G$)G"z3$FipF\_u7$$!3+<#4DV8E7"FipF__u7$$!31">0X!*yN,#FipFd_u7%7$$"3c7#4DV8E7"FipF\_u7$$"3fc-G$)G"z3$FipF__u7$$"3S#G%G6u%p>#FipFd_u7%7$F`coF\_u7$FccoF__u7$$"3%evtqstuS'FipFd_u7%7$FjcoF\_u7$F]doF__u7$$"3#HK'G/+!=1"F,Fd_u7%7$FddoF\_u7$FgdoF__u7$$"3Fq_'ej_G["F,Fd_u7%7$F^eoF\_u7$FaeoF__u7$$"3i<UWn_!R!>F,Fd_u7%7$FheoF\_u7$F[foF__u7$$"3=lJ-**y&\K#F,Fd_u7%7$FbfoF\_u7$FefoF__u7$$"3`7@gI0,YFF,Fd_u7%7$F\goF\_u7$F_goF__u7$$"3()f5=iJ1nJF,Fd_u7%7$FfgoF\_u7$FigoF__u7$$"3A2+w$z:")e$F,Fd_u7%7$F`hoF\_u7$FchoF__u7$$"37a*Q`Uo"4SF,Fd_u7%7$F^_n$"3cA#H()=8D7#F,7$Fc_n$"3y(>R'ed14DF,7$$!3='HF+>)*4+%F,$"3E2'odsRiW#F,7%7$F^`nFbgu7$Fa`nFegu7$$!3#)[$[%eb%*zNF,Fjgu7%7$Fh`nFbgu7$F[anFegu7$$!3[,%po#H*)eJF,Fjgu7%7$FbanFbgu7$FeanFegu7$$!39a/H&HSyt#F,Fjgu7%7$F\bnFbgu7$F_bnFegu7$$!3!o]6Pm(y;BF,Fjgu7%7$FfbnFbgu7$FibnFegu7$$!3mfD8K]t&*=F,Fjgu7%7$F`cnFbgu7$FccnFegu7$$!3L7Ob+Cou9F,Fjgu7%7$FjcnFbgu7$F]dnFegu7$$!3)\mu*o(HO0"F,Fjgu7%7$FddnFbgu7$FgdnFegu7$$!3Owr&RPrdK'FipFjgu7%7$F^enFbgu7$FaenFegu7$$!3Z.x;e]C:@FipFjgu7%7$FhenFbgu7$F[fnFegu7$$"3'*p<id7G&4#FipFjgu7%7$FbfnFbgu7$FefnFegu7$$"3)RC6Md2eI'FipFjgu7%7$F\gnFbgu7$F_gnFegu7$$"3ur+#*)QL;0"F,Fjgu7%7$FfgnFbgu7$FignFegu7$$"34>!*\?gos9F,Fjgu7%7$F`hnFbgu7$FchnFegu7$$"3Umz2_'QP*=F,Fjgu7%7$FjhnFbgu7$F]inFegu7$$"3+9pl$G"z9BF,Fjgu7%7$FdinFbgu7$FginFegu7$$"3MheB:R%et#F,Fjgu7%7$F^jnFbgu7$FajnFegu7$$"3p3["oa'*o:$F,Fjgu7%7$FhjnFbgu7$F[[oFegu7$$"3.cPRy"\zd$F,Fjgu7%7$Fb[oFbgu7$Fe[oFegu7$$"3Q.F(*4=+**RF,Fjgu7%7$F`bm$"3Y7sI@@5RDF,7$Febm$"3d-">#*3#eMHF,7$$!3-3%3G^p%3SF,$"3J!>!\^4-nGF,7%7$F`cmF`_v7$FccmFc_v7$$!3Ag%H7)oT(e$F,Fh_v7%7$FjcmF`_v7$F]dmFc_v7$$!3)G^]'\UOmJF,Fh_v7%7$FddmF`_v7$FgdmFc_v7$$!3al:2=;JXFF,Fh_v7%7$F^emF`_v7$FaemFc_v7$$!3?=E\')*eUK#F,Fh_v7%7$FhemF`_v7$F[fmFc_v7$$!3&3n8\N1K!>F,Fh_v7%7$FbfmF`_v7$FefmFc_v7$$!3]BZLBP:#["F,Fh_v7%7$F\gmF`_v7$F_gmFc_v7$$!3;wdv"4,61"F,Fh_v7%7$FfgmF`_v7$FigmFc_v7$$!3E*Go<g%[+kFipFh_v7%7$F`hmF`_v7$$!3?4d0y;v#Q"FipFc_v7$$!3a:)yfGe**=#FipFh_v7%7$$"3w/d0y;v#Q"FipF`_v7$F]imFc_v7$$"3#zl5)H!o0-#FipFh_v7%7$FdimF`_v7$FgimFc_v7$$"34J,gXV4JiFipFh_v7%7$F^jmF`_v7$FajmFc_v7$$"3cg*Qh1iT/"F,Fh_v7%7$FhjmF`_v7$F[[nFc_v7$$"3"z!zr(p9_Y"F,Fh_v7%7$Fb[nF`_v7$Fe[nFc_v7$$"3DboHHtE')=F,Fh_v7%7$F\\nF`_v7$F_\nFc_v7$$"3g-e(3'*>tI#F,Fh_v7%7$Ff\nF`_v7$Fi\nFc_v7$$"3%*\ZX#fs$GFF,Fh_v7%7$F`]nF`_v7$Fc]nFc_v7$$"3H(pLSAD%\JF,Fh_v7%7$Fj]nF`_v7$F]^nFc_v7$$"3jWEhbyZqNF,Fh_v7%7$Fd^nF`_v7$Fg^nFc_v7$$"3a"f">([I:*RF,Fh_v7%7$Fbel$"3iuCX56>dHF,7$Fgel$"35N<Bj$)feLF,7$$!3K&\ixPST,%F,$"3xt$y2=!e(G$F,7%7$FbflFbgv7$FeflFegv7$$!3U[N=Yx3$f$F,Fjgv7%7$F\glFbgv7$F_glFegv7$$!32,Yg9^.sJF,Fjgv7%7$FfglFbgv7$FiglFegv7$$!3t`c-$[#)4v#F,Fjgv7%7$F`hlFbgv7$FchlFegv7$$!3R1nW^)H*HBF,Fjgv7%7$FjhlFbgv7$F]ilFegv7$$!3/fx')>s()3>F,Fjgv7%7$FdilFbgv7$FgilFegv7$$!3q6))G)eCy["F,Fjgv7%7$F^jlFbgv7$FajlFegv7$$!3Nk)4n&>xm5F,Fjgv7%7$FhjlFbgv7$F[[mFegv7$$!34q"48D$>dkFipFjgv7%7$Fb[mFbgv7$Fe[mFegv7$$!3P'p>b$pmYAFipFjgv7%7$F\\mFbgv7$F_\mFegv7$$"33x(p-QfQ'>FipFjgv7%7$Ff\mFbgv7$Fi\mFegv7$$"3D]#fgp&QuhFipFjgv7%7$F`]mFbgv7$Fc]mFegv7$$"3Os[=,7\Q5F,Fjgv7%7$Fj]mFbgv7$F]^mFegv7$$"3r>QwKQaf9F,Fjgv7%7$Fd^mFbgv7$Fg^mFegv7$$"30nFMkkf!)=F,Fjgv7%7$F^_mFbgv7$Fa_mFegv7$$"3S9<#f4\;I#F,Fjgv7%7$Fh_mFbgv7$F[`mFegv7$$"3vh1]F<qAFF,Fjgv7%7$Fb`mFbgv7$Fe`mFegv7$$"354'z!fVvVJF,Fjgv7%7$F\amFbgv7$F_amFegv7$$"3Wc&e1*p![c$F,Fjgv7%7$FfamFbgv7$FiamFegv7$$"3M.vBA'fe)RF,Fjgv7%7$Fdx$"34>yOjr=wLF,7$Fix$"3K&GuMd2<y$F,7$$!3aH(3s=o&=SF,$"33xW#fAt!3PF,7%7$FdyF`_w7$FgyFc_w7$$!3?#yHcb:vf$F,Fh_w7%7$F^zF`_w7$FazFc_w7$$!3&[$30CHYwJF,Fh_w7%7$FhzF`_w7$F[[lFc_w7$$!3^()=Z#H5av#F,Fh_w7%7$Fb[lF`_w7$Fe[lFc_w7$$!3;SH*3mdVL#F,Fh_w7%7$F\\lF`_w7$F_\lFc_w7$$!3E$*RJH]I8>F,Fh_w7%7$Ff\lF`_w7$Fi\lFc_w7$$!3#f/NxR_A\"F,Fh_w7%7$F`]lF`_w7$Fc]lFc_w7$$!3d)4chw*>r5F,Fh_w7%7$Fj]lF`_w7$F]^lFc_w7$$!3?6:xX8Z,lFipFh_w7%7$Fd^lF`_w7$Fg^lFc_w7$$!3wP?)*H]%4H#FipFh_w7%7$F^_lF`_w7$Fa_lFc_w7$$"3qNu!eG"e>>FipFh_w7%7$Fh_lF`_w7$F[`lFc_w7$$"394pf,w5IhFipFh_w7%7$Fb`lF`_w7$Fe`lFc_w7$$"39Q'Q<RjS."F,Fh_w7%7$F\alF`_w7$F_alFc_w7$$"3\&e<L-;^X"F,Fh_w7%7$FfalF`_w7$FialFc_w7$$"3$G`'*[loh(=F,Fh_w7%7$F`blF`_w7$FcblFc_w7$$"3i![vkG@sH#F,Fh_w7%7$FjblF`_w7$F]clFc_w7$$"3(zUa!=RF=FF,Fh_w7%7$FdclF`_w7$FgclFc_w7$$"3KvLj\lKRJF,Fh_w7%7$F^dlF`_w7$FadlFc_w7$$"3mAB@"=z.c$F,Fh_w7%7$FhdlF`_w7$F[elFc_w7$$"3cp7z7=V")RF,Fh_w7%7$F*$"3)Rh`OZfdz$F,7$F0$"3c&QYj_SU?%F,7$$!3?%GPbo4@-%F,$"3h(*Q4<ocGTF,7%7$F;F^gw7$F>Fagw7$$!3'oLeR0d5g$F,Ffgw7%7$FEF^gw7$FHFagw7$$!3^*QzBU/+=$F,Ffgw7%7$FOF^gw7$FRFagw7$$!3<U/!3z^*eFF,Ffgw7%7$FYF^gw7$FfnFagw7$$!3#[\@#f"**yL#F,Ffgw7%7$F]oF^gw7$F`oFagw7$$!3qZDkFl%o">F,Ffgw7%7$FgoF^gw7$FjoFagw7$$!3O+O1'*Qz&\"F,Ffgw7%7$FapF^gw7$FdpFagw7$$!3,`Y[k7uu5F,Ffgw7%7$F\qF^gw7$F_qFagw7$$!3ocq0Hj)o`'FipFfgw7%7$FfqF^gw7$FiqFagw7$$!3o#enK,gjK#FipFfgw7%7$F`rF^gw7$FcrFagw7$$"3w!*=_-j;%)=FipFfgw7%7$FjrF^gw7$F]sFagw7$$"3mj8J=Ep%4'FipFfgw7%7$FdsF^gw7$FgsFagw7$$"3r$35M*=_I5F,Ffgw7%7$F^tF^gw7$FatFagw7$$"30J!*)\_u:X"F,Ffgw7%7$FhtF^gw7$F[uFagw7$$"3Ryzccris=F,Ffgw7%7$FbuF^gw7$FeuFagw7$$"3'f#p9)yzOH#F,Ffgw7%7$F\vF^gw7$F_vFagw7$$"3Jtes>Ct9FF,Ffgw7%7$FfvF^gw7$FivFagw7$$"3m?[I^]yNJF,Ffgw7%7$F`wF^gw7$FcwFagw7$$"3+oP)GoPob$F,Ffgw7%7$FjwF^gw7$F]xFagw7$$"3z:FY9.*y(RF,Ffgw-%*THICKNESSG6#"""-%&COLORG6]fo%$RGBG$"#5!""$"2wppo&yg>5F,Fe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_x-%+AXESLABELSG6$Q"t6"Q%x(t)F[`x-%%VIEWG6$;$!#WFd_x$"#WFd_xF``x

For NiMyIiIhLSUieEc2IyUidEc=, then NiMlInhH is increasing.For NiMyLSUieEc2IyUidEciIiE=, then NiMlInhH is decreasing.NiMlInhH cannot change sign.NiMvJSJ4RyIiIQ== is a constant solution (corresponding to the initial condition NiMvLSUieEc2IyYlInRHNiMiIiFGKg==), it is the only constatnt solution.NiMlInhH does not approach a constant value as NiMlInRH tends to NiMlKWluZmluaXR5Rw==.

DEplot(D(x)(t)=k*x(t),x(t),t=-4..4,x=-4..4, {[x(0)=-1],[x(0)=0],[x(0)=1]});

-%%PLOTG6'-%'CURVESG6^dl7%7$$!3R'f'eJ,1^S!#<$!3W9Olt%fdz$F,7$$!3g.MTo)R*[RF,$!3c&QYj_SU?%F,7$$!3U"4kBU*)*>RF,$!3(*)f+8vOI5%F,7%7$$!3/\w++v+IOF,F-7$$!3EcW$oB()y_$F,F27$$!33W^y!zO*)\$F,F77%7$$!3q,(G%o[&*3KF,F-7$$!3#*3bD0Y$o5$F,F27$$!3t'>1#fT)y2$F,F77%7$$!3Na(\oB-zy#F,F-7$$!3chlnt>y&o#F,F27$$!3R\siF:$ol#F,F77%7$$!3+23F0'\oO#F,F-7$$!3B9w4U$HZE#F,F27$$!3/-$[g*)ydB#F,F77%7$$!3mf=ptpzX>F,F-7$$!3)om=0rwO%=F,F27$$!3#\NpWEEZ"=F,F77%7$$!3K7H6UVuC:F,F-7$$!3a>(R*ySiA9F,F27$$!3c2/*GjtOR"F,F77%7$$!3)\'R`5<p.6F,F-7$$!3>s2OZ9d,5F,F27$$!3?,Y68+@E(*!#=F77%7$$!3Jw,b*y!REoFipF-7$$!3[[#=y:)=0eFipF27$$!3wF^K(p$o:bFipF77%7$$!3'GqgPZkeh#FipF-7$$!3wu(G?%=m%f"FipF27$$!3Iac`"Qd^I"FipF77%7$$"3Kq(G?%=m%f"FipF-7$$"3U)pgPZkeh#FipF27$$"3:>QDM*o`!HFipF77%7$$"3/W#=y:)=0eFipF-7$$"3'=<]&*y!REoFipF27$$"3g#HV+D&*e6(FipF77%7$$"3vr2OZ9d,5F,F-7$$"3`kR`5<p.6F,F27$$"3]wKec@kK6F,F77%7$$"34>(R*ySiA9F,F-7$$"3)="H6UVuC:F,F27$$"3$QAi")y%p`:F,F77%7$$"3Wm'=0rwO%=F,F-7$$"3Af=ptpzX>F,F27$$"3=r6u>uuu>F,F77%7$$"3y8w4U$HZE#F,F-7$$"3c13F0'\oO#F,F27$$"3u=,K^+!eR#F,F77%7$$"37hlnt>y&o#F,F-7$$"3"Rv\oB-zy#F,F27$$"35m!**Go_o"GF,F77%7$$"3Z3bD0Y$o5$F,F-7$$"3E,(G%o[&*3KF,F27$$"3W8!yWJ0zB$F,F77%7$$"3#eXMoB()y_$F,F-7$$"3g[w++v+IOF,F27$$"3ygp0Yz&*eOF,F77%7$$"3;.MTo)R*[RF,F-7$$"3R'f'eJ,1^SF,F27$$"3d3fjx0,!3%F,F77%7$$!3p]gq'e`m0%F,$!3a>yOjr=wLF,7$$!3I\RH8kMVRF,$!3w&GuMd2<y$F,7$$!3@8@o%3)=<RF,$!3;_9dKkuzOF,7%7$$!3N.r7b4gNOF,Ffx7$$!3'>+:<y$HANF,F[y7$$!3'e;.JXNh\$F,F`y7%7$$!3+c"[NK[X@$F,Ffx7$$!3hag8]6C,JF,F[y7$$!3_=U_@G3vIF,F`y7%7$$!3m3#p>p&\$z#F,Ffx7$$!3E2rb=&)=!o#F,F[y7$$!3=r_%**=ISl#F,F`y7%7$$!3Jh-RgIWsBF,Ffx7$$!3#*f"yp)e8fAF,F[y7$$!3%QKm$ev(HB#F,F`y7%7$$!3u88")G/R^>F,Ffx7$$!3!G@*RbK3Q=F,F[y7$$!3\wtyE\#>"=F,F`y7%7$$!3SmBB(zP.`"F,Ffx7$$!3Xl-#QiIqT"F,F[y7$$!39H%3_Hs3R"F,F`y7%7$$!31>Mll^G46F,Ffx7$$!36"=8C#*z(f**FipF[y7$$!3)z"[HOm>)p*FipF`y7%7$$!38<ZuS`K#)oFipFfx7$$!3m2Pi1OD\dFipF[y7$$!3_W`]?.n([&FipF`y7%7$$!3oV_&\-*zrEFipFfx7$$!3?MU$3HF(Q:FipF[y7$$!3Orer/S9x7FipF`y7%7$$"3wHU$3HF(Q:FipFfx7$$"3CR_&\-*zrEFipF[y7$$"3O-O26BQLHFipF`y7%7$$"3A.Pi1OD\dFipFfx7$$"3p7ZuS`K#)oFipF[y7$$"3#e2joi3R9(FipF`y7%7$$"3mwJTA*z(f**FipFfx7$$"3h=Mll^G46F,F[y7$$"3#\DlU\Va8"F,F`y7%7$$"3,l-#QiIqT"F,Ffx7$$"3'fOKszP.`"F,F[y7$$"3F-U%e7'\c:F,F`y7%7$$"3N7#*RbK3Q=F,Ffx7$$"3I88")G/R^>F,F[y7$$"3i\JUd([v(>F,F`y7%7$$"3[f"yp)e8fAF,Ffx7$$"3'3E!RgIWsBF,F[y7$$"3'p4-!*Q,')R#F,F`y7%7$$"3"o5d&=&)=!o#F,Ffx7$$"3A3#p>p&\$z#F,F[y7$$"3IW5e?Sl>GF,F`y7%7$$"3<ag8]6C,JF,Ffx7$$"3cb"[NK[X@$F,F[y7$$"3l"**f@l12C$F,F`y7%7$$"3^,]r"y$HANF,Ffx7$$"3!H5F^&4gNOF,F[y7$$"3**Q*QPGf<m$F,F`y7%7$$"3')[RH8kMVRF,Ffx7$$"3!)\gq'e`m0%F,F[y7$$"3*e)yJ:>"G3%F,F`y7%7$$!3T;nN[hbjSF,$!31vCX56>dHF,7$$!3e$GV;&QWORF,$!3aN<Bj$)feLF,7$$!3V!onXc)y8RF,$!3,;+g1@!eD$F,7%7$$!31pxx;N]UOF,Fdel7$$!3COV1?7R:NF,Fiel7$$!33L())H$ft#\$F,F^fl7%7$$!3s@))>&)3X@KF,Fdel7$$!3)))Q&[)eQV4$F,Fiel7$$!3t&y49I$orIF,F^fl7%7$$!3Qu)>OD)R+GF,Fdel7$$!3aTk!p&fGtEF,Fiel7$$!3RQ3$)p1j]EF,F^fl7%7$$!3-F4/AcMzBF,Fdel7$$!3@%\F`KLAD#F,Fiel7$$!3/"*=DQ!y&HAF,F^fl7%7$$!3Yz>Y!*HHe>F,Fdel7$$!33Z&[Pp!=J=F,Fiel7$$!3#R%Hn1a_3=F,F^fl7%7$$!37KI))e.CP:F,Fdel7$$!3u*fp@1G,T"F,Fiel7$$!3d'*R4vFZ(Q"F,F^fl7%7$$!3y%3/ts(=;6F,Fdel7$$!3%R_1fIa2*)*FipFiel7$$!3M#\]^V,Um*FipF^fl7%7$$!3Ju8Dd4N^pFipFdel7$$!3[]q6!*zA!o&FipFiel7$$!3*)=5O>^n`aFipF^fl7%7$$!3S,>YTY#3u#FipFdel7$$!3ZwvKu;qp9FipFiel7$$!3;X:d.)[JC"FipF^fl7%7$$"3.svKu;qp9FipFdel7$$"3'p*=YTY#3u#FipFiel7$$"3+Gz@7vPnHFipF^fl7%7$$"3/Yq6!*zA!o&FipFdel7$$"3()p8Dd4N^pFipFiel7$$"3X,u+GQ!z<(FipF^fl7%7$$"3]>l!fIa2*)*FipFdel7$$"3L%3/ts(=;6F,Fiel7$$"3\(ozV,V)Q6F,F^fl7%7$$"3H*fp@1G,T"F,Fdel7$$"3oJI))e.CP:F,Fiel7$$"3$[jefk&*)f:F,F^fl7%7$$"3kY&[Pp!=J=F,Fdel7$$"3-z>Y!*HHe>F,Fiel7$$"3=#ePvF[4)>F,F^fl7%7$$"3w$\F`KLAD#F,Fdel7$$"3eE4/AcMzBF,Fiel7$$"3vHl644+-CF,F^fl7%7$$"35Tk!p&fGtEF,Fdel7$$"3$R()>OD)R+GF,Fiel7$$"34xapSN0BGF,F^fl7%7$$"3W)Q&[)eQV4$F,Fdel7$$"3G@))>&)3X@KF,Fiel7$$"3WCWFsh5WKF,F^fl7%7$$"3!eLk+A"R:NF,Fdel7$$"3ioxx;N]UOF,Fiel7$$"3xrL&Q!)e^m$F,F^fl7%7$$"39$GV;&QWORF,Fdel7$$"3_:nN[hbjSF,Fiel7$$"3B=BVN9@'3%F,F^fl7%7$$!3(H!R)z9^A2%F,$!3"H@287-"RDF,7$$!3-(4;?&)[x#RF,$!3-.">#*3#eMHF,7$$!3FN/$3_*f4RF,$!3sR#)\x`*3$GF,7%7$$!3jb\S;&)>^OF,Fbbm7$$!3o\rV?ip1NF,Fgbm7$$!3#z[^#*)oa)[$F,F\cm7%7$$!3G3g#[)e9IKF,Fbbm7$$!3L-#e))eVc3$F,Fgbm7$$!3eSDndU\nIF,F\cm7%7$$!3%41ZKD$44GF,Fbbm7$$!3)\Dzs&4fkEF,Fgbm7$$!3B$f$4E;WYEF,F\cm7%7$$!3f8"o;iS!)Q#F,Fbbm7$$!3k2.qD$QNC#F,Fgbm7$$!3*ek9X**)QDAF,F\cm7%7$$!3Dm"*3!*z)p'>F,Fbbm7$$!3Ig87%p&[A=F,Fgbm7$$!3a)pNHOOV!=F,F\cm7%7$$!3!*=-^e`$fa"F,Fbbm7$$!3'HTUD1L9S"F,Fgbm7$$!3>^nNJPG$Q"F,F\cm7%7$$!3cr7$ps#)[7"F,Fbbm7$$!35cYj4V!Q!)*FipFgbm7$$!3WP!yx*4JA'*FipF\cm7%7$$!39UK_`4IQqFipFbbm7$$!3k#=XQ*zF$f&FipFgbm7$$!3*Rc))>o%y6aFipF\cm7%7$$!3poPtPYxFGFipFbbm7$$!3[4d0y;v#Q"FipFgbm7$$!35"4*>m$e7?"FipF\cm7%7$$"3/0d0y;v#Q"FipFbbm7$$"3CkPtPYxFGFipFgbm7$$"3N#Q!f\zE4IFipF\cm7%7$$"3?y^%Q*zF$f&FipFbbm7$$"3qPK_`4IQqFipFgbm7$$"3Oc)z`E%z>sFipF\cm7%7$$"3m^Yj4V!Q!)*FipFbbm7$$"37r7$ps#)[7"F,Fgbm7$$"3(G$p6e?.V6F,F\cm7%7$$"3^7CaiIV,9F,Fbbm7$$"3Y=-^e`$fa"F,Fgbm7$$"3@!)ep*o%3k:F,F\cm7%7$$"3')f87%p&[A=F,Fbbm7$$"3"e;*3!*z)p'>F,Fgbm7$$"3cF[F@t8&)>F,F\cm7%7$$"3?2.qD$QNC#F,Fbbm7$$"398"o;iS!)Q#F,Fgbm7$$"3!\x`G&**=1CF,F\cm7%7$$"3aa#zs&4fkEF,Fbbm7$$"3]gqC`K44GF,Fgbm7$$"3DAFV%eUs#GF,F\cm7%7$$"3*=?e))eVc3$F,Fbbm7$$"3%y+E[)e9IKF,Fgbm7$$"3fp;,;_H[KF,F\cm7%7$$"3C\rV?ip1NF,Fbbm7$$"3=b\S;&)>^OF,Fgbm7$$"3$ph!fZyMpOF,F\cm7%7$$"3e'4;?&)[x#RF,Fbbm7$$"33-R)z9^A2%F,Fgbm7$$"3Gk&p"z/S!4%F,F\cm7%7$$!34Ny&R@gM3%F,$!3,B#H()=8D7#F,7$$!3Yk@/'yRl"RF,$!3B)>R'ed14DF,7$$!3"G!)\v/gV!RF,$!3s*o*y='4XS#F,7%7$$!3>)))yBe2Cm$F,F`_n7$$!37<KYar[&\$F,Fe_n7$$!3Zb3(fT2L[$F,Fj_n7%7$$!3&3%**z]\NTKF,F`_n7$$!3xpU)G_MW2$F,Fe_n7$$!373>R%yaA1$F,Fj_n7%7$$!3]$*4A>BI?GF,F`_n7$$!3UA`I"*=Q`EF,Fe_n7$$!3ygH"G:-7k#F,Fj_n7%7$$!39Y?k(o\#*R#F,F`_n7$$!33vjsf#HBB#F,Fe_n7$$!3V8SB@&\,A#F,Fj_n7%7$$!3"))4jg0(>y>F,F`_n7$$!3uFu9GmF6=F,Fe_n7$$!3'e1b'*)o4*z"F,Fj_n7%7$$!3Y^T[CW9d:F,F`_n7$$!3Q![ol*RA!R"F,Fe_n7$$!3^=h2eU/y8F,Fj_n7%7$$!37/_!Hz"4O6F,F`_n7$$!3YI`*)\Or"p*FipFe_n7$$!3x6<(\E;*p&*FipFj_n7%7$$!3ynDE8;R]rFipF`_n7$$!3+de5Mt="[&FipFe_n7$$!3KQA=\**Qf`FipFj_n7%7$$!3x$4tuHl)RHFipF`_n7$$!36%Q;$=5mq7FipFe_n7$$!3)fw#RLO')[6FipFj_n7%7$$"3nzjJ=5mq7FipF`_n7$$"3L*3tuHl)RHFipFe_n7$$"3Y2nR#oi;1$FipFj_n7%7$$"3c_e5Mt="[&FipF`_n7$$"3MjDE8;R]rFipFe_n7$$"3-#='=)**)=ssFipFj_n7%7$$"3-E`*)\Or"p*FipF`_n7$$"3o._!Hz"4O6F,Fe_n7$$"3blvRJ:F[6F,Fj_n7%7$$"3%*z%ol*RA!R"F,F`_n7$$"3-^T[CW9d:F,Fe_n7$$"3*G^wH;C$p:F,Fj_n7%7$$"3HFu9GmF6=F,F`_n7$$"3P)4jg0(>y>F,Fe_n7$$"3Cgab%zw.*>F,Fj_n7%7$$"3kujsf#HBB#F,F`_n7$$"3qX?k(o\#*R#F,Fe_n7$$"3O2W8E%H9T#F,Fj_n7%7$$"3)>K08*=Q`EF,F`_n7$$"31$*4A>BI?GF,Fe_n7$$"3qaLrd?[KGF,Fj_n7%7$$"3KpU)G_MW2$F,F`_n7$$"3SS**z]\NTKF,Fe_n7$$"30-BH*oMND$F,Fj_n7%7$$"3o;KYar[&\$F,F`_n7$$"3v())yBe2Cm$F,Fe_n7$$"3R\7(3K(euOF,Fj_n7%7$$"3-k@/'yRl"RF,F`_n7$$"34Ny&R@gM3%F,Fe_n7$$"3=(>]C&*Rc4%F,Fj_n7%7$$!3E_&QD(\E)4%F,$!3h1![$y0b3<F,7$$!3uZ9YF]t,RF,$!3$*>D'e5B43#F,7$$!3'oT#yU%Qx*QF,$!3([8.c%etv>F,7%7$$!3"\gf4M7sn$F,F^\o7$$!3R+D)eR#o![$F,Fc\o7$$!3`pM?6eowMF,Fh\o7%7$$!3dd1Q4(fhD$F,F^\o7$$!3/`NIk(H'fIF,Fc\o7$$!3=AXizJjbIF,Fh\o7%7$$!3A5<!y22^$GF,F^\o7$$!3q0YsKrdQEF,Fc\o7$$!3%[dX![0eMEF,Fh\o7%7$$!3)GwAiWaST#F,F^\o7$$!3Nec9,X_<AF,Fc\o7$$!3]FmY;z_8AF,Fh\o7%7$$!3a:Qk9=+$*>F,F^\o7$$!3+6ncp=Z'z"F,Fc\o7$$!3#*zw)[GvCz"F,Fh\o7%7$$!3>o[1$=\>d"F,F^\o7$$!3mjx)zB>aP"F,Fc\o7$$!3eK(3LlA9P"F,Fh\o7%7$$!3&3#f[^l*3:"F,F^\o7$$!3Jk")3kgmV&*FipFc\o7$$!3kayH<-q.&*FipFh\o7%7$$!3#Rtp!*>R%)H(FipF^\o7$$!3'3p)H[(RJL&FipFc\o7$$!3="Q3:!R<$H&FipFh\o7%7$$!3[g-G$)G"z3$FipF^\o7$$!38<#4DV8E7"FipFc\o7$$!3J2*=deZE3"FipFh\o7%7$$"3p7#4DV8E7"FipF^\o7$$"3/c-G$)G"z3$FipFc\o7$$"3sl02I(yy7$FipFh\o7%7$$"3U'o)H[(RJL&FipF^\o7$$"3[H(p!*>R%)H(FipFc\o7$$"3;R+'e/0%QtFipFh\o7%7$$"3()f")3kgmV&*FipF^\o7$$"3S?f[^l*3:"F,Fc\o7$$"3[^\;OJ*[:"F,Fh\o7%7$$"3@jx)zB>aP"F,F^\o7$$"3un[1$=\>d"F,Fc\o7$$"3#))*Qund%fd"F,Fh\o7%7$$"3c5ncp=Z'z"F,F^\o7$$"35:Qk9=+$*>F,Fc\o7$$"3=YGK*R)*p*>F,Fh\o7%7$$"3"zlX6]Cv@#F,F^\o7$$"3WiFAYW09CF,Fc\o7$$"3I$z,4.^!=CF,Fh\o7%7$$"3E0YsKrdQEF,F^\o7$$"3y4<!y22^$GF,Fc\o7$$"3kS2[iO5RGF,Fh\o7%7$$"3g_NIk(H'fIF,F^\o7$$"38d1Q4(fhD$F,Fc\o7$$"3*zofSHc,E$F,Fh\o7%7$$"3&**\#)eR#o![$F,F^\o7$$"3Y/'f4M7sn$F,Fc\o7$$"3KN'Qc#*37o$F,Fh\o7%7$$"3HZ9YF]t,RF,F^\o7$$"3O^&QD(\E)4%F,Fc\o7$$"3o#e<sbhA5%F,Fh\o7%7$$!3(z58\#3@=TF,$!3Kx&QVyy%*H"F,7$$!3e"*o3v"*y")QF,$!3`aSrO'*)yk"F,7$$!39!\GsgC%*)QF,$!3<Rz?oP!Ha"F,7%7$$!31hTL$>erp$F,F\io7$$!3BWz]VltgMF,Faio7$$!3"Ga\c(>PoMF,Ffio7%7$$!3s8_vhb5wKF,F\io7$$!3!p**G>"RoRIF,Faio7$$!3Y&fqSM>t/$F,Ffio7%7$$!3Pmi<IH0bGF,F\io7$$!3b\+N!GJ'=EF,Faio7$$!37[;\7nEEEF,Ffio7%7$$!3.>tf)H+SV#F,F\io7$$!3?-6x['yv>#F,Faio7$$!3x+F"439_?#F,Ffio7%7$$!3pr$=qmZH,#F,F\io7$$!3'[:#><g_w<F,Faio7$$!3U`PL\9;%y"F,Ffio7%7$$!3MC%Ra.&*=f"F,F\io7$$!3^2Kh&QtaN"F,Faio7$$!321[v<)3JO"F,Ffio7%7$$!3*pZgQSU3<"F,F\io7$$!3"GgU.a2UM*FipFaio7$$!3M(ee<'=c?%*FipFfio7%7$$!3U&H:Gs(*y\(FipF\io7$$!3OHJbC7oL^FipFaio7$$!3*Q6pfaN+@&FipFfio7%7$$!3)>#e-29P(G$FipF\io7$$!3udlj(3\:B*!#>Faio7$$!3-.kz,B4&***F__pFfio7%7$$"3L8lj(3\:B*F__pF\io7$$"3`<e-29P(G$FipFaio7$$"3,L)4c3<5@$FipFfio7%7$$"3#\7`XA"oL^FipF\io7$$"3)4H:Gs(*y\(FipFaio7$$"3Y1$*R,Ma@uFipFfio7%7$$"3O)fU.a2UM*FipF\io7$$"3aw/'QSU3<"F,Faio7$$"3)z()=<(p?j6F,Ffio7%7$$"312Kh&QtaN"F,F\io7$$"3!RURa.&*=f"F,Faio7$$"3LDyH.'fUe"F,Ffio7%7$$"3Ta@><g_w<F,F\io7$$"3Cr$=qmZH,#F,Faio7$$"3osn([B7`+#F,Ffio7%7$$"3u,6x['yv>#F,F\io7$$"3e=tf)H+SV#F,Faio7$$"3-?dXm[OECF,Ffio7%7$$"36\+N!GJ'=EF,F\io7$$"3$fEw,$H0bGF,Faio7$$"3PnY.)\<u%GF,Ffio7%7$$"3X'**G>"RoRIF,F\io7$$"3G8_vhb5wKF,Faio7$$"3r9OhH,ZoKF,Ffio7%7$$"3zVz]VltgMF,F\io7$$"3igTL$>erp$F,Faio7$$"30iD>hF_*o$F,Ffio7%7$$"38"*o3v"*y")QF,F\io7$$"3(z58\#3@=TF,Faio7$$"3S4:x#Rv06%F,Ffio7%7$$!3k#))=n))**\9%F,$!3$\"GV#>,++*Fip7$$!3N<6G8,+bQF,$!3zb9lQIE07F,7$$!3l/t2T!H'zQF,$!3'[^6iq@H5"F,7%7$$!3IN*R^DZRs$F,F[fp7$$!3,q@q"[ZRV$F,F`fp7$$!3Jd$)\4kdeMF,Fefp7%7$$!3&z)4cBY*GI$F,F[fp7$$!3nAK7][*G,$F,F`fp7$$!3(*4%>zxBv.$F,Fefp7%7$$!3gS?)>*>%=)GF,F[fp7$$!3KvUa=A%=f#F,F`fp7$$!3ji/MY6Z;EF,Fefp7%7$$!3E$4./O*ygCF,F[fp7$$!3(zKlpe*yq@F,F`fp7$$!3G::w9&=a>#F,Fefp7%7$$!3#f9C)GntR?F,F[fp7$$!3j!Q'Qbpt\<F,F`fp7$$!3%zc#=$)eOu<F,Fefp7%7$$!3d)>Xs4%o=;F,F[fp7$$!3GLu!QK%oG8F,F`fp7$$!3f?Og^KJ`8F,Fefp7%7$$!3A^iml9j(>"F,F[fp7$$!3Je[GApJw!*FipF`fp7$$!3[KnC+igA$*FipFefp7%7$$!3#*RI(3M)ylxFipF[fp7$$!3'[Q&\11zl[FipF`fp7$$!3-fsX%))z?6&FipFefp7%7$$!3ZmN3D?EbNFipF[fp7$$!379"fq!Hk_lF__pF`fp7$$!3@]yn'oNb,*F__pFefp7%7$$"3rp!fq!Hk_lF__pF[fp7$$"3.iN3D?EbNFipF`fp7$$"3V)o@rus*3LFipFefp7%7$$"3U!Q&\11zl[FipF[fp7$$"3[NI(3M)ylxFipF`fp7$$"3Kh6"H1*\>vFipFefp7%7$$"3(Q&[GApJw!*FipF[fp7$$"3y]iml9j(>"F,F`fp7$$"3Zj+(y`-I<"F,Fefp7%7$$"3%GV2QK%oG8F,F[fp7$$"38)>Xs4%o=;F,F`fp7$$"3#3,\%p^0%f"F,Fefp7%7$$"3>!Q'Qbpt\<F,F[fp7$$"3ZXT#)GntR?F,F`fp7$$"3<ez-,y5:?F,Fefp7%7$$"3_F`'pe*yq@F,F[fp7$$"3"G4./O*ygCF,F`fp7$$"3^0pgK/;OCF,Fefp7%7$$"3)[FW&=A%=f#F,F[fp7$$"3:S?)>*>%=)GF,F`fp7$$"3&G&e=kI@dGF,Fefp7%7$$"3AAK7][*G,$F,F[fp7$$"3^()4cBY*GI$F,F`fp7$$"3?+[w&pl#yKF,Fefp7%7$$"3cp@q"[ZRV$F,F[fp7$$"3&[$*R^DZRs$F,F`fp7$$"3aZPMF$=$*p$F,Fefp7%7$$"3"p6"G8,+bQF,F[fp7$$"3k#))=n))**\9%F,F`fp7$$"3M&pA*e4P?TF,Fefp7%7$$!3o$*fzjw*z<%F,$!3'H4TBq$f">&Fip7$$!3J1S?OB+AQF,$!3$=LF]C&)*RuFip7$$!3bM7D"ps4(QF,$!3qbA8P+?3lFip7%7$$!3MYq@K]%pv$F,Fibq7$$!3(*e]i/(\4S$F,F^cq7$$!3?(Gs'f+#*\MF,Fccq7%7$$!3+*4Q1S#*eL$F,Fibq7$$!3i6h/tq*)zHF,F^cq7$$!3')RL4Gu')GIF,Fccq7%7$$!3l^"f!p(R["HF,Fibq7$$!3FkrYTW%)eDF,F^cq7$$!3_#R9lz9yg#F,Fccq7%7$$!3I/-[Pry$\#F,Fibq7$$!3$p@)))4=zP@F,F^cq7$$!3;Xa$\;in=#F,Fccq7%7$$!3'pD,f]MF2#F,Fibq7$$!3Op#4$y"Rnr"F,F^cq7$$!3h(\cL`4dw"F,Fccq7%7$$!3%)4BKu=o^;F,Fibq7$$!3-A.tYlo&H"F,F^cq7$$!3E]vx,plW8F,Fccq7%7$$!3\iLuU#H1B"F,Fibq7$$!3uYP^^"Rju)FipF^cq7$$!31Gg)>qUgB*FipFccq7%7$$!3]^Tk6hw&4)FipFibq7$$!3ItUsNG"e`%FipF^cq7$$!3gal>'Q;b-&FipFccq7%7$$!30yY&ezR_)QFipFibq7$$!3A,![$*>lGD$F__pF^cq7$$!3"*>32/2!*\")F__pFccq7%7$$"3"o&zM*>lGD$F__pFibq7$$"3htY&ezR_)QFipF^cq7$$"3u"R#QXi`&R$FipFccq7%7$$"3')oUsNG"e`%FipFibq7$$"31ZTk6hw&4)FipF^cq7$$"3ul=<hD11wFipFccq7%7$$"3IUP^^"Rju)FipFibq7$$"30iLuU#H1B"F,F^cq7$$"3!Q8'p())e;="F,Fccq7%7$$"3e@.tYlo&H"F,Fibq7$$"3R4BKu=o^;F,F^cq7$$"3:"3v#>:r-;F,Fccq7%7$$"3#*o#4$y"Rnr"F,Fibq7$$"3^c7!f]MF2#F,F^cq7$$"3GGS&3:kP-#F,Fccq7%7$$"3[;#)))4=zP@F,Fibq7$$"3'Q?![Pry$\#F,F^cq7$$"3ivHV#y;[W#F,Fccq7%7$$"3$Q;n9WW)eDF,Fibq7$$"3@^"f!p(R["HF,F^cq7$$"3'H#>,9%pe'GF,Fccq7%7$$"3=6h/tq*)zHF,Fibq7$$"3b)4Q1S#*eL$F,F^cq7$$"3Jq3fX?#pG$F,Fccq7%7$$"3_e]i/(\4S$F,Fibq7$$"3!f/<A.Xpv$F,F^cq7$$"3m<)prnuzq$F,Fccq7%7$$"3(e+/iL-?#QF,Fibq7$$"3o$*fzjw*z<%F,F^cq7$$"3*ew[(3t-HTF,Fccq7%7$$!3wT)\5[5g?%F,$!3eM.+#)obr;Fip7$$!3Ce,&*=&*)Rz$F,$!3IV"*yL%p*QDFip7$$!3%eIqq,_B(QF,$!3=!*="[!H9O=Fip7%7$$!3U%*3Z\y&\y$F,Fg_r7$$!3)3@rt)o$HP$F,F\`r7$$!3]e8\&Q*H^MF,Fa`r7%7$$!32Z>*y@0RO$F,Fg_r7$$!3ajAzbU)=&HF,F\`r7$$!3;6C"RvY-.$F,Fa`r7%7$$!3s**HJ'e_G%HF,Fg_r7$$!3?;L@C;$3`#F,F\`r7$$!3#QYLB7%>4EF,Fa`r7%7$$!3Q_Sta**z@DF,Fg_r7$$!3&)oVj#**y(4@F,F\`r7$$!3Y;Xv!\T")=#F,Fa`r7%7$$!3/0^:Btu+@F,Fg_r7$$!3G@a0hjs)o"F,F\`r7$$!37pb<f))3n<F,Fa`r7%7$$!3"z:w:p%pz;F,Fg_r7$$!3%RZw%HPnn7F,F\`r7$$!3y@mfFi.Y8F,Fa`r7%7$$!3d5s**f?ke7F,Fg_r7$$!33n_(*y4@m%)FipF\`r7$$!3OWn<gf$)\#*FipFa`r7%7$$!3:JE=%G%*eP)FipFg_r7$$!3j$z&=jYobUFipF\`r7$$!3"4F(QW'4$R]FipFa`r7%7$$!3qdJRozOlTFipFg_r7$$!3*3*>jRZ$e^%!#?F\`r7$$!3.wz(fGLyG)F__pFa`r7%7$$"3!oaJ'RZ$e^%FjerFg_r7$$"3E`JRozOlTFipF\`r7$$"3Vv;>()Hu"Q$FipFa`r7%7$$"3>*y&=jYobUFipFg_r7$$"3rEE=%G%*eP)FipF\`r7$$"3W\6)HIpAf(FipFa`r7%7$$"3ki_(*y4@m%)FipFg_r7$$"385s**f?ke7F,F\`r7$$"3Giq(=cz-="F,Fa`r7%7$$"3]tkZHPnn7F,Fg_r7$$"3Ydhd"p%pz;F,F\`r7$$"3j4gX$>K8g"F,Fa`r7%7$$"3$3Ub5OE()o"F,Fg_r7$$"3g/^:Btu+@F,F\`r7$$"3)p&\.D[QA?F,Fa`r7%7$$"3ToVj#**y(4@F,Fg_r7$$"3%>0MZ&**z@DF,F\`r7$$"3K/RhcuVVCF,Fa`r7%7$$"3w:L@C;$3`#F,Fg_r7$$"3G**HJ'e_G%HF,F\`r7$$"3m^G>)3!\kGF,Fa`r7%7$$"35jAzbU)=&HF,Fg_r7$$"3iY>*y@0RO$F,F\`r7$$"3,*zr(>Fa&G$F,Fa`r7%7$$"3W57P()o$HP$F,Fg_r7$$"3(R*3Z\y&\y$F,F\`r7$$"3OY2N^`f1PF,Fa`r7%7$$"3yd,&*=&*)Rz$F,Fg_r7$$"3wT)\5[5g?%F,F\`r7$$"3q$pHH)zkFTF,Fa`r7%7$Fe_r$"3)4L+?)obr;Fip7$Fj_r$"3IQ"*yL%p*QDFip7$$!3+E]'3LPS*QF,$"3&[4h+J&>mGFip7%7$Fe`rFd\s7$Fh`rFg\s7$$!3nygG*p%)HZ$F,F\]s7%7$F_arFd\s7$FbarFg\s7$$!3KJrqn?$>0$F,F\]s7%7$FiarFd\s7$F\brFg\s7$$!3)R=GhVz3j#F,F\]s7%7$FcbrFd\s7$FfbrFg\s7$$!3jO#\X!o#)4AF,F\]s7%7$F]crFd\s7$F`crFg\s7$$!3H*GqH<u()y"F,F\]s7%7$FgcrFd\s7$FjcrFg\s7$$!3%>M"RT:sn8F,F\]s7%7$FadrFd\s7$FddrFg\s7$$!35ZR7)4*om%*FipF\]s7%7$F[erFd\s7$F^erFg\s7$$!3ktWL#yihD&FipF\]s7%7$FeerFd\s7$FherFg\s7$$!3k**\amkjX5FipF\]s7%7$F`frFd\s7$FcfrFg\s7$$"3CtWC\)*)[;$FipF\]s7%7$FjfrFd\s7$F]grFg\s7$$"3qYR.lhTvtFipF\]s7%7$FdgrFd\s7$FggrFg\s7$$"37UB3[Ufe6F,F\]s7%7$F^hrFd\s7$FahrFg\s7$$"3Z*Gh'zokz:F,F\]s7%7$FhhrFd\s7$F[irFg\s7$$"3#oBS7^*p+?F,F\]s7%7$FbirFd\s7$FeirFg\s7$$"3;%=>G9_<U#F,F\]s7%7$F\jrFd\s7$F_jrFg\s7$$"3]J")RuZ!G%GF,F\]s7%7$FfjrFd\s7$FijrFg\s7$$"3&)yq(fSdQE$F,F\]s7%7$F`[sFd\s7$Fc[sFg\s7$$"3=EgbP+"\o$F,F\]s7%7$Fj[sFd\s7$F]\sFg\s7$$"3)R(\8pE'f5%F,F\]s7%7$Fgbq$"3_)3TBq$f">&Fip7$F\cq$"3QFt-X_)*RuFip7$$!3_!R=)zC=FRF,$"3!3A7hN)=)R(Fip7%7$$!3zYq@K]%pv$F,Fbds7$$!3_e]i/(\4S$F,Feds7$$!3uU%R#[)Hh]$F,Fjds7%7$FadqFbds7$FddqFeds7$$!3$e\gm@x]3$F,Fjds7%7$$!35_"f!p(R["HF,Fbds7$$!3$Q;n9WW)eDF,Feds7$$!3/[:3&eCSm#F,Fjds7%7$FeeqFbds7$FheqFeds7$$!39,E]`>(HC#F,Fjds7%7$$!3Sd7!f]MF2#F,Fbds7$FbfqFeds7$$!3e`O#>K>>#=F,Fjds7%7$FifqFbds7$F\gqFeds7$$!3B1ZM!pm3S"F,Fjds7%7$FcgqFbds7$FfgqFeds7$$!3)))edweS")z*FipFjds7%7$F]hqFbds7$F`hqFeds7$$!3V:"o=F9we&FipFjds7%7$FghqFbds7$$!3X)*zM*>lGD$F__pFeds7$$!3UT'yg&z3x8FipFjds7%7$$"3/azM*>lGD$F__pFbds7$FdiqFeds7$$"3-K3rf$QM$GFipFjds7%7$F[jqFbds7$F^jqFeds7$$"3#\I+bnkR/(FipFjds7%7$FejqFbds7$FhjqFeds7$$"3%y(*G"*4\a7"F,Fjds7%7$F_[rFbds7$Fb[rFeds7$$"3=DzqI<]Y:F,Fjds7%7$Fi[rFbds7$F\\rFeds7$$"3JsoGiVbn>F,Fjds7%7$$"3/;#)))4=zP@F,Fbds7$$"3I/-[Pry$\#F,Feds7$$"33?e'Q*pg)Q#F,Fjds7%7$F]]rFbds7$F`]rFeds7$$"3+nZWD'f'4GF,Fjds7%7$$"3t5h/tq*)zHF,Fbds7$$"3+*4Q1S#*eL$F,Feds7$$"3y9P-dArIKF,Fjds7%7$Fa^rFbds7$Fd^rFeds7$$"3ohEg))[w^OF,Fjds7%7$$"3U0S?OB+AQF,Fbds7$F^_rFeds7$$"3Z4;=?v"G2%F,Fjds7%7$Fiep$"3\5GV#>,++*Fip7$F^fp$"3Mb9lQIE07F,7$$!3[[$H4xWf&RF,$"3&f&4d\;Uv6F,7%7$FifpFh]t7$F\gpF[^t7$$!39,/NR@*[`$F,F`^t7%7$FcgpFh]t7$FfgpF[^t7$$!3!QXrx]RQ6$F,F`^t7%7$F]hpFh]t7$F`hpF[^t7$$!3W1D>woy#p#F,F`^t7%7$FghpFh]t7$FjhpF[^t7$$!35fNhWUtrAF,F`^t7%7$FaipFh]t7$$!3T!Q'Qbpt\<F,F[^t7$$!3J6Y.8;o]=F,F`^t7%7$$!3!))>Xs4%o=;F,Fh]t7$$!31Lu!QK%oG8F,F[^t7$$!3(Rmb9)*G'H9F,F`^t7%7$$!3W^iml9j(>"F,Fh]t7$FhjpF[^t7$$!3&orw)\jd35F,F`^t7%7$F_[qFh]t7$Fb[qF[^t7$$!3#RpxH=P_(eFipF`^t7%7$Fi[qFh]t7$$!3M6"fq!Hk_lF__pF[^t7$$!3Z?#)=n3rk;FipF`^t7%7$$"3$p1fq!Hk_lF__pFh]t7$Ff\qF[^t7$$"3(HD,'[a"ea#FipF`^t7%7$F]]qFh]t7$F`]qF[^t7$$"3UE2Rk<McnFipF`^t7%7$Fg]qFh]t7$$"3+^iml9j(>"F,F[^t7$$"35?!=!3oo'4"F,F`^t7%7$$"3iKu!QK%oG8F,Fh]t7$$"3N)>Xs4%o=;F,F[^t7$$"3WnpfR%Rx^"F,F`^t7%7$$"3(*zjQbpt\<F,Fh]t7$F^_qF[^t7$$"3c9f<r?zQ>F,F`^t7%7$Fe_qFh]t7$Fh_qF[^t7$$"3oh[v-Z%)fBF,F`^t7%7$F_`qFh]t7$Fb`qF[^t7$$"3.4QLMt*3y#F,F`^t7%7$Fi`qFh]t7$F\aqF[^t7$$"3QcF"f'*\>?$F,F`^t7%7$FcaqFh]t7$FfaqF[^t7$$"3s.<\(f-Ii$F,F`^t7%7$F]bqFh]t7$F`bqF[^t7$$"3^^12H_0WSF,F`^t7%7$Fjho$"3)odQVyy%*H"F,7$F_io$"33aSrO'*)yk"F,7$$!3BfBK?t_wRF,$"3%H\k1=4?g"F,7%7$FjioFjft7$F]joF]gt7$$!3)=TV()ouab$F,Fbgt7%7$FdjoFjft7$FgjoF]gt7$$!3akW;d?UMJF,Fbgt7%7$F^[pFjft7$Fa[pF]gt7$$!3><beD%pLr#F,Fbgt7%7$Fh[pFjft7$F[\pF]gt7$$!3%)pl+%z;BH#F,Fbgt7%7$Fb\pFjft7$Fe\pF]gt7$$!3\AwUiTEr=F,Fbgt7%7$F\]pFjft7$F_]pF]gt7$$!3:v'[3`6-X"F,Fbgt7%7$Ff]pFjft7$Fi]pF]gt7$$!3.G(p#**)e"H5F,Fbgt7%7$F`^pFjft7$Fc^pF]gt7$$!3)o!y!pni53'FipFbgt7%7$Fj^pFjft7$$!3Nclj(3\:B*F__pF]gt7$$!3:L$=6OO0(=FipFbgt7%7$$"3%>^Ow3\:B*F__pFjft7$Fh_pF]gt7$$"3-S6na**)*RBFipFbgt7%7$F_`pFjft7$Fb`pF]gt7$$"3Z81Yqi^]lFipFbgt7%7$Fi`pFjft7$F\apF]gt7$$"3"*3]ieU5w5F,Fbgt7%7$FcapFjft7$FfapF]gt7$$"3EcR?!*o:(\"F,Fbgt7%7$F]bpFjft7$F`bpF]gt7$$"3g.Hy@&4#=>F,Fbgt7%7$FgbpFjft7$FjbpF]gt7$$"3%4&=O`@ERBF,Fbgt7%7$FacpFjft7$FdcpF]gt7$$"3H)zS\y9.w#F,Fbgt7%7$F[dpFjft7$F^dpF]gt7$$"3jX(>lTn8=$F,Fbgt7%7$FedpFjft7$FhdpF]gt7$$"3)Hp)4[+U-OF,Fbgt7%7$F_epFjft7$FbepF]gt7$$"3KSwnzEZBSF,Fbgt7%7$F\\o$"3;1![$y0b3<F,7$Fa\o$"3\>D'e5B43#F,7$$!3)\/hYdJ3*RF,$"3b5C(=Lo[-#F,7%7$F\]oF\_u7$F_]oF__u7$$!3k(4#3V*y(pNF,Fd_u7%7$Ff]oF\_u7$Fi]oF__u7$$!3I]J]6js[JF,Fd_u7%7$F`^oF\_u7$Fc^oF__u7$$!3&H?C*zOnFFF,Fd_u7%7$Fj^oF\_u7$F]_oF__u7$$!3hb_M[5i1BF,Fd_u7%7$Fd_oF\_u7$Fg_oF__u7$$!3[3jw;%ob)=F,Fd_u7%7$F^`oF\_u7$Fa`oF__u7$$!39ht=&y:XY"F,Fd_u7%7$Fh`oF\_u7$F[aoF__u7$$!3!QT3O:jM/"F,Fd_u7%7$FbaoF\_u7$FeaoF__u7$$!3^kYH?_5CiFipFd_u7%7$$!3.h-G$)G"z3$FipF\_u7$$!3+<#4DV8E7"FipF__u7$$!31">0X!*yN,#FipFd_u7%7$$"3c7#4DV8E7"FipF\_u7$$"3fc-G$)G"z3$FipF__u7$$"3S#G%G6u%p>#FipFd_u7%7$F`coF\_u7$FccoF__u7$$"3%evtqstuS'FipFd_u7%7$FjcoF\_u7$F]doF__u7$$"3#HK'G/+!=1"F,Fd_u7%7$FddoF\_u7$FgdoF__u7$$"3Fq_'ej_G["F,Fd_u7%7$F^eoF\_u7$FaeoF__u7$$"3i<UWn_!R!>F,Fd_u7%7$FheoF\_u7$F[foF__u7$$"3=lJ-**y&\K#F,Fd_u7%7$FbfoF\_u7$FefoF__u7$$"3`7@gI0,YFF,Fd_u7%7$F\goF\_u7$F_goF__u7$$"3()f5=iJ1nJF,Fd_u7%7$FfgoF\_u7$FigoF__u7$$"3A2+w$z:")e$F,Fd_u7%7$F`hoF\_u7$FchoF__u7$$"37a*Q`Uo"4SF,Fd_u7%7$F^_n$"3cA#H()=8D7#F,7$Fc_n$"3y(>R'ed14DF,7$$!3='HF+>)*4+%F,$"3E2'odsRiW#F,7%7$F^`nFbgu7$Fa`nFegu7$$!3#)[$[%eb%*zNF,Fjgu7%7$Fh`nFbgu7$F[anFegu7$$!3[,%po#H*)eJF,Fjgu7%7$FbanFbgu7$FeanFegu7$$!39a/H&HSyt#F,Fjgu7%7$F\bnFbgu7$F_bnFegu7$$!3!o]6Pm(y;BF,Fjgu7%7$FfbnFbgu7$FibnFegu7$$!3mfD8K]t&*=F,Fjgu7%7$F`cnFbgu7$FccnFegu7$$!3L7Ob+Cou9F,Fjgu7%7$FjcnFbgu7$F]dnFegu7$$!3)\mu*o(HO0"F,Fjgu7%7$FddnFbgu7$FgdnFegu7$$!3Owr&RPrdK'FipFjgu7%7$F^enFbgu7$FaenFegu7$$!3Z.x;e]C:@FipFjgu7%7$FhenFbgu7$F[fnFegu7$$"3'*p<id7G&4#FipFjgu7%7$FbfnFbgu7$FefnFegu7$$"3)RC6Md2eI'FipFjgu7%7$F\gnFbgu7$F_gnFegu7$$"3ur+#*)QL;0"F,Fjgu7%7$FfgnFbgu7$FignFegu7$$"34>!*\?gos9F,Fjgu7%7$F`hnFbgu7$FchnFegu7$$"3Umz2_'QP*=F,Fjgu7%7$FjhnFbgu7$F]inFegu7$$"3+9pl$G"z9BF,Fjgu7%7$FdinFbgu7$FginFegu7$$"3MheB:R%et#F,Fjgu7%7$F^jnFbgu7$FajnFegu7$$"3p3["oa'*o:$F,Fjgu7%7$FhjnFbgu7$F[[oFegu7$$"3.cPRy"\zd$F,Fjgu7%7$Fb[oFbgu7$Fe[oFegu7$$"3Q.F(*4=+**RF,Fjgu7%7$F`bm$"3Y7sI@@5RDF,7$Febm$"3d-">#*3#eMHF,7$$!3-3%3G^p%3SF,$"3J!>!\^4-nGF,7%7$F`cmF`_v7$FccmFc_v7$$!3Ag%H7)oT(e$F,Fh_v7%7$FjcmF`_v7$F]dmFc_v7$$!3)G^]'\UOmJF,Fh_v7%7$FddmF`_v7$FgdmFc_v7$$!3al:2=;JXFF,Fh_v7%7$F^emF`_v7$FaemFc_v7$$!3?=E\')*eUK#F,Fh_v7%7$FhemF`_v7$F[fmFc_v7$$!3&3n8\N1K!>F,Fh_v7%7$FbfmF`_v7$FefmFc_v7$$!3]BZLBP:#["F,Fh_v7%7$F\gmF`_v7$F_gmFc_v7$$!3;wdv"4,61"F,Fh_v7%7$FfgmF`_v7$FigmFc_v7$$!3E*Go<g%[+kFipFh_v7%7$F`hmF`_v7$$!3?4d0y;v#Q"FipFc_v7$$!3a:)yfGe**=#FipFh_v7%7$$"3w/d0y;v#Q"FipF`_v7$F]imFc_v7$$"3#zl5)H!o0-#FipFh_v7%7$FdimF`_v7$FgimFc_v7$$"34J,gXV4JiFipFh_v7%7$F^jmF`_v7$FajmFc_v7$$"3cg*Qh1iT/"F,Fh_v7%7$FhjmF`_v7$F[[nFc_v7$$"3"z!zr(p9_Y"F,Fh_v7%7$Fb[nF`_v7$Fe[nFc_v7$$"3DboHHtE')=F,Fh_v7%7$F\\nF`_v7$F_\nFc_v7$$"3g-e(3'*>tI#F,Fh_v7%7$Ff\nF`_v7$Fi\nFc_v7$$"3%*\ZX#fs$GFF,Fh_v7%7$F`]nF`_v7$Fc]nFc_v7$$"3H(pLSAD%\JF,Fh_v7%7$Fj]nF`_v7$F]^nFc_v7$$"3jWEhbyZqNF,Fh_v7%7$Fd^nF`_v7$Fg^nFc_v7$$"3a"f">([I:*RF,Fh_v7%7$Fbel$"3iuCX56>dHF,7$Fgel$"35N<Bj$)feLF,7$$!3K&\ixPST,%F,$"3xt$y2=!e(G$F,7%7$FbflFbgv7$FeflFegv7$$!3U[N=Yx3$f$F,Fjgv7%7$F\glFbgv7$F_glFegv7$$!32,Yg9^.sJF,Fjgv7%7$FfglFbgv7$FiglFegv7$$!3t`c-$[#)4v#F,Fjgv7%7$F`hlFbgv7$FchlFegv7$$!3R1nW^)H*HBF,Fjgv7%7$FjhlFbgv7$F]ilFegv7$$!3/fx')>s()3>F,Fjgv7%7$FdilFbgv7$FgilFegv7$$!3q6))G)eCy["F,Fjgv7%7$F^jlFbgv7$FajlFegv7$$!3Nk)4n&>xm5F,Fjgv7%7$FhjlFbgv7$F[[mFegv7$$!34q"48D$>dkFipFjgv7%7$Fb[mFbgv7$Fe[mFegv7$$!3P'p>b$pmYAFipFjgv7%7$F\\mFbgv7$F_\mFegv7$$"33x(p-QfQ'>FipFjgv7%7$Ff\mFbgv7$Fi\mFegv7$$"3D]#fgp&QuhFipFjgv7%7$F`]mFbgv7$Fc]mFegv7$$"3Os[=,7\Q5F,Fjgv7%7$Fj]mFbgv7$F]^mFegv7$$"3r>QwKQaf9F,Fjgv7%7$Fd^mFbgv7$Fg^mFegv7$$"30nFMkkf!)=F,Fjgv7%7$F^_mFbgv7$Fa_mFegv7$$"3S9<#f4\;I#F,Fjgv7%7$Fh_mFbgv7$F[`mFegv7$$"3vh1]F<qAFF,Fjgv7%7$Fb`mFbgv7$Fe`mFegv7$$"354'z!fVvVJF,Fjgv7%7$F\amFbgv7$F_amFegv7$$"3Wc&e1*p![c$F,Fjgv7%7$FfamFbgv7$FiamFegv7$$"3M.vBA'fe)RF,Fjgv7%7$Fdx$"34>yOjr=wLF,7$Fix$"3K&GuMd2<y$F,7$$!3aH(3s=o&=SF,$"33xW#fAt!3PF,7%7$FdyF`_w7$FgyFc_w7$$!3?#yHcb:vf$F,Fh_w7%7$F^zF`_w7$FazFc_w7$$!3&[$30CHYwJF,Fh_w7%7$FhzF`_w7$F[[lFc_w7$$!3^()=Z#H5av#F,Fh_w7%7$Fb[lF`_w7$Fe[lFc_w7$$!3;SH*3mdVL#F,Fh_w7%7$F\\lF`_w7$F_\lFc_w7$$!3E$*RJH]I8>F,Fh_w7%7$Ff\lF`_w7$Fi\lFc_w7$$!3#f/NxR_A\"F,Fh_w7%7$F`]lF`_w7$Fc]lFc_w7$$!3d)4chw*>r5F,Fh_w7%7$Fj]lF`_w7$F]^lFc_w7$$!3?6:xX8Z,lFipFh_w7%7$Fd^lF`_w7$Fg^lFc_w7$$!3wP?)*H]%4H#FipFh_w7%7$F^_lF`_w7$Fa_lFc_w7$$"3qNu!eG"e>>FipFh_w7%7$Fh_lF`_w7$F[`lFc_w7$$"394pf,w5IhFipFh_w7%7$Fb`lF`_w7$Fe`lFc_w7$$"39Q'Q<RjS."F,Fh_w7%7$F\alF`_w7$F_alFc_w7$$"3\&e<L-;^X"F,Fh_w7%7$FfalF`_w7$FialFc_w7$$"3$G`'*[loh(=F,Fh_w7%7$F`blF`_w7$FcblFc_w7$$"3i![vkG@sH#F,Fh_w7%7$FjblF`_w7$F]clFc_w7$$"3(zUa!=RF=FF,Fh_w7%7$FdclF`_w7$FgclFc_w7$$"3KvLj\lKRJF,Fh_w7%7$F^dlF`_w7$FadlFc_w7$$"3mAB@"=z.c$F,Fh_w7%7$FhdlF`_w7$F[elFc_w7$$"3cp7z7=V")RF,Fh_w7%7$F*$"3)Rh`OZfdz$F,7$F0$"3c&QYj_SU?%F,7$$!3?%GPbo4@-%F,$"3h(*Q4<ocGTF,7%7$F;F^gw7$F>Fagw7$$!3'oLeR0d5g$F,Ffgw7%7$FEF^gw7$FHFagw7$$!3^*QzBU/+=$F,Ffgw7%7$FOF^gw7$FRFagw7$$!3<U/!3z^*eFF,Ffgw7%7$FYF^gw7$FfnFagw7$$!3#[\@#f"**yL#F,Ffgw7%7$F]oF^gw7$F`oFagw7$$!3qZDkFl%o">F,Ffgw7%7$FgoF^gw7$FjoFagw7$$!3O+O1'*Qz&\"F,Ffgw7%7$FapF^gw7$FdpFagw7$$!3,`Y[k7uu5F,Ffgw7%7$F\qF^gw7$F_qFagw7$$!3ocq0Hj)o`'FipFfgw7%7$FfqF^gw7$FiqFagw7$$!3o#enK,gjK#FipFfgw7%7$F`rF^gw7$FcrFagw7$$"3w!*=_-j;%)=FipFfgw7%7$FjrF^gw7$F]sFagw7$$"3mj8J=Ep%4'FipFfgw7%7$FdsF^gw7$FgsFagw7$$"3r$35M*=_I5F,Ffgw7%7$F^tF^gw7$FatFagw7$$"30J!*)\_u:X"F,Ffgw7%7$FhtF^gw7$F[uFagw7$$"3Ryzccris=F,Ffgw7%7$FbuF^gw7$FeuFagw7$$"3'f#p9)yzOH#F,Ffgw7%7$F\vF^gw7$F_vFagw7$$"3Jtes>Ct9FF,Ffgw7%7$FfvF^gw7$FivFagw7$$"3m?[I^]yNJF,Ffgw7%7$F`wF^gw7$FcwFagw7$$"3+oP)GoPob$F,Ffgw7%7$FjwF^gw7$F]xFagw7$$"3z:FY9.*y(RF,Ffgw-%*THICKNESSG6#"""-%&COLORG6]fo%$RGBG$"#5!""$"2wppo&yg>5F,Fe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_xFb_xFe_xFe_x-F&6'777$$!+++++S!"*$!3%Q*zx,(\P$=F__p7$$!+++++OF]`x$!3!>Q%RMoINFF__p7$$!+++++KF]`x$!3"oE$[E;6!3%F__p7$$!+++++GF]`x$!3`'Q*ph`3'3'F__p7$$!+++++CF]`x$!3p2Ln?'*Gy!*F__p7$$!+++++?F]`x$!38==GY,;a8Fip7$$!+++++;F]`x$!3Nca:>'G*>?Fip7$$!+++++7F]`x$!33++k;+-8IFip7$$!+++++!)!#5$!3s*******fhV\%Fip7$$F\`xFfbx$!3'************Rq'Fip7$$""!F_cx$Fd_xF_cx7$$"+++++SFfbx$!3OLLLLLt"\"F,7$$"+++++!)Ffbx$!3*zxxxLo_A#F,7$$"+++++7F]`x$!3KqV2bp]>LF,7$$"+++++;F]`x$!3*QF;^<>=&\F,7$I*undefinedGI*protectedGFgdxFfdxFedxFedxFedxFedxFedx777$F[`xF^cx7$Fa`xF^cx7$Ff`xF^cx7$F[axF^cx7$F`axF^cx7$FeaxF^cx7$FjaxF^cx7$F_bxF^cx7$FdbxF^cx7$FjbxF^cx7$F^cxF^cx7$FbcxF^cx7$FgcxF^cx7$F\dxF^cx7$FadxF^cx7$$"+++++?F]`xF^cx7$$"+++++CF]`xF^cx7$$"+++++GF]`xF^cx7$$"+++++KF]`xF^cx7$$"+++++OF]`xF^cx7$$FccxF]`xF^cx777$F[`x$"3%Q*zx,(\P$=F__p7$Fa`x$"3!>Q%RMoINFF__p7$Ff`x$"3"oE$[E;6!3%F__p7$F[ax$"3`'Q*ph`3'3'F__p7$F`ax$"3p2Ln?'*Gy!*F__p7$Feax$"38==GY,;a8Fip7$Fjax$"3Nca:>'G*>?Fip7$F_bx$"33++k;+-8IFip7$Fdbx$"3s*******fhV\%Fip7$Fjbx$"3'************Rq'Fip7$F^cx$F]_xF_cx7$Fbcx$"3OLLLLLt"\"F,7$Fgcx$"3*zxxxLo_A#F,7$F\dx$"3KqV2bp]>LF,7$Fadx$"3*QF;^<>=&\F,FedxFedxFedxFedxFedxFedx-F[_x6#""$-%&STYLEG6#%%LINEG-%+AXESLABELSG6$Q"t6"Q%x(t)Fajx-%%VIEWG6$;$!#WFd_x$"#WFd_xFfjx-F__x6&Fa_x$"1#=t:!zg>!*!#;F][y$"2CK-)H+++?F,

DEplot(D(x)(t)=k*x(t)+3,x(t),t=-4..4,x=-4..4);

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