{VERSION 3 0 "SUN SPARC SOLARIS" "3.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 
0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 }
{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 
0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 
{CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 
0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 
0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 
0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 
-1 0 0 0 0 0 0 -1 0 }}
{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 52 "Df := (f,pt) -> [ D[
1](f)(op(pt)), D[2](f)(op(pt))];" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#DfGR6$%\"fG%#ptG6\"6$%)operator
G%&arrowGF)7$--&%\"DG6#\"\"\"6#9$6#-%#opG6#9%--&F16#\"\"#F4F6F)F)F)" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "f:=(x,y)->x^2+y^2;" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGR6$%\"xG%\"yG6\"6$%)operatorG%&a
rrowGF),&*$)9$\"\"#\"\"\"\"\"\"*$)9%F1F2F3F)F)F)" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 12 "Df(f,[2,3]);" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#7$\"\"%\"\"'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "diff(sin
(x),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$cosG6#%\"xG" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "D(sin);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#%$cosG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "q:
=[1,2,5,6,9];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"qG7'\"\"\"\"\"#\"
\"&\"\"'\"\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "nops(q);" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"&" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 6 "op(q);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6'\"\"\"\"\"#
\"\"&\"\"'\"\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "op([x,y]
);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%\"xG%\"yG" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 100 "gradstep := proc( f, pt, h)\n   local v;\n  \+
 v:=Df(f,pt);\n   [ pt[1] - h*v[1], pt[2] - h*v[2] ];\nend; " }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%)gradstepGR6%%\"fG%#ptG%\"hG6#%\"vG6\"F,C$
>8$-%#DfG6$9$9%7$,&&F46#\"\"\"F9*&9&F9&F/F8F9!\"\",&&F46#\"\"#F9*&F;\"
\"\"&F/F@F9F=F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "grad
step(f,[2,3],.5);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7$\"\"!F$" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 409 "findMin := proc (f, guess)
\n  local pt,newpt,h,ht,newht,i;\n  pt := guess;\n  h := .25;\n  ht :=
 f(op(pt));\n  for i from 1 to 200 do\n    newpt := gradstep(f,pt,h);
\n    newht := f(op(newpt));\n    if ( ht < newht ) then\n       print
 (\"finished in \",i,\"steps. ht is \", newht);\n       RETURN(pt);\n \+
   fi;\n    ht := newht;\n    pt:= newpt;\n   od;\n   print (\"finishe
d in \",i,\"steps. ht is \", newht);\n   RETURN(pt);\nend:\n" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "findMin(f,[2,1]);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6&Q-finished~in~6\"\"$,#Q.steps.~ht~is~F$$\"++
fHO>!$H\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7$$\"+PIgW7!#p$\"+&=:IA'!
#q" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 408 "findMin := proc (f, \+
guess)\n  local pt,newpt,h,ht,newht,i;\n  pt := guess;\n  h := .25;\n \+
 ht := f(op(pt));\n  for i from 1 to 50 do\n    newpt := gradstep(f,pt
,h);\n    newht := f(op(newpt));\n    if ( ht < newht ) then\n       p
rint (\"finished in \",i,\"steps. ht is \", newht);\n       RETURN(pt)
;\n    fi;\n    ht := newht;\n    pt:= newpt;\n   od;\n   print (\"fin
ished in \",i,\"steps. ht is \", newht);\n   RETURN(pt);\nend:\n" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "findMin(f,[2,1]);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6&Q-finished~in~6\"\"#^Q.steps.~ht~is~F$$\"+1X
IWR!#R" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7$$\"+NoNw<!#C$\"+vTy\")))!#
D" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "findMin((x,y)->x^10+y^
10, [2,1]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&Q-finished~in~6\"\"\"\"
Q.steps.~ht~is~F$$\"+TSFi6\"#A" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7$\"
\"#\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "leng := v -> s
qrt(v[1]^2 + v[2]^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%lengGR6#%
\"vG6\"6$%)operatorG%&arrowGF(-%%sqrtG6#,&*$)&9$6#\"\"\"\"\"#\"\"\"F5*
$)&F36#F6F6F7F5F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "le
ng([1,1]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$-%%sqrtG6#\"\"#\"\"\"
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "leng([3,4]);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#\"\"&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 436 "findMin := proc (f, guess)\n  local pt,newpt,h,ht,newht,i;\n \+
 pt := guess;\n  h := .25;\n  ht := f(op(pt));\n  for i from 1 to 50 d
o\n    h := .25/leng(Df(f,pt));\n    newpt := gradstep(f,pt,h);\n    n
ewht := f(op(newpt));\n    if ( ht < newht ) then\n       print (\"fin
ished in \",i,\"steps. ht is \", newht);\n       RETURN(pt);\n    fi;
\n    ht := newht;\n    pt:= newpt;\n   od;\n   print (\"finished in \+
\",i,\"steps. ht is \", newht);\n   RETURN(pt);\nend:" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "findMin(f,[2.0,1.0]);" }}{PARA 0 ">
 " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&Q-finished
~in~6\"\"#5Q.steps.~ht~is~F$$\"+_*3Gd&!#6" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#7$$!*2=hC\"!#5$!).fIiF&" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 545 "findMi
n := proc (f, guess)\n  local pt,newpt,h,ht,newht,i;\n  global findPat
h;\n  pt := guess;\n  h := .25;\n  ht := f(op(pt));\n  findPath := [ [
 op(pt), ht ]];\n\n  for i from 1 to 50 do\n    h := .25/leng(Df(f,pt)
);\n    newpt := gradstep(f,pt,h);\n    newht := f(op(newpt));\n    fi
ndPath := [ op(findPath) , [ op(newpt), newht ]];\n    if ( ht < newht
 ) then\n       print (\"finished in \",i,\"steps. ht is \", newht);\n
       RETURN(pt);\n    fi;\n    ht := newht;\n    pt:= newpt;\n   od;
\n   print (\"finished in \",i,\"steps. ht is \", newht);\n   RETURN(p
t);\nend:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "findMin(f,[2.0
,1.0]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&Q-finished~in~6\"\"#5Q.step
s.~ht~is~F$$\"+_*3Gd&!#6" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7$$!*2=hC
\"!#5$!).fIiF&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "findPath;
" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7-7%$\"#?!\"\"$\"#5F'$\"$+&!\"#7%$
\"+-KRw<!\"*$\"+6g'>)))!#5$\"+5gYWRF07%$\"+/ky_:F0$\"+A?$Rw(F3$\"+??$R
,$F07%$\"+1'z\"H8F0$\"+L!)*ek'F3$\"+K!)R3AF07%$\"+3Gd06F0$\"+WS'y_&F3$
\"+VS'y_\"F07%$\"+-,m>))F3$\"+a+$)4WF3$\"+U0IB(*F37%$\"+C@f$e'F3$\"+kg
z\"H$F3$\"+f1'zT&F37%$\"+ZT_ZVF3$\"+v?wt@F3$\"+x2iiBF37%$\"+qhX6@F3$\"
+'3Gd0\"F3$\"+]*3Gd&!#67%$!*2=hC\"F3$!).fIiF3$\"+*z75%>!#87%$\"+uhX6@F
3$\"+z!Gd0\"F3$\"+_*3Gd&Fao" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
12 "with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "spacecu
rve(findPath,thickness=2,color=red);" }}{PARA 13 "" 1 "" {INLPLOT "6$-
%'CURVESG6$7-7%$\"#?!\"\"$\"#5F*$\"$+&!\"#7%$\"+-KRw<!\"*$\"+6g'>)))!#
5$\"+5gYWRF37%$\"+/ky_:F3$\"+A?$Rw(F6$\"+??$R,$F37%$\"+1'z\"H8F3$\"+L!
)*ek'F6$\"+K!)R3AF37%$\"+3Gd06F3$\"+WS'y_&F6$\"+VS'y_\"F37%$\"+-,m>))F
6$\"+a+$)4WF6$\"+U0IB(*F67%$\"+C@f$e'F6$\"+kgz\"H$F6$\"+f1'zT&F67%$\"+
ZT_ZVF6$\"+v?wt@F6$\"+x2iiBF67%$\"+qhX6@F6$\"+'3Gd0\"F6$\"+]*3Gd&!#67%
$!*2=hC\"F6$!).fIiF6$\"+*z75%>!#87%$\"+uhX6@F6$\"+z!Gd0\"F6$\"+_*3Gd&F
do-%'COLOURG6&%$RGBG$\"*++++\"!\")\"\"!F[q-%*THICKNESSG6#\"\"#" 3 547 
151 151 2 0 1 2 2 1 0 1 2 1.000000 83.000000 80.000000 14010 14091 
14086 14102 14112 15010 15070 20540 0 17560 0 255 0 0 255 0 0 1 2 269 
4372 0 0 0 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 129 "c
:=spacecurve(findPath,thickness=2,color=red):\ns:=plot3d(f(x,y),x=-2..
2,y=-2..2,style=patchcontour,axes=boxed):\ndisplay3d([c,s]);" }}{PARA 
13 "" 1 "" {INLPLOT "6&-%'CURVESG6%7-7%$\"#?!\"\"$\"#5F*$\"$+&!\"#7%$
\"+-KRw<!\"*$\"+6g'>)))!#5$\"+5gYWRF37%$\"+/ky_:F3$\"+A?$Rw(F6$\"+??$R
,$F37%$\"+1'z\"H8F3$\"+L!)*ek'F6$\"+K!)R3AF37%$\"+3Gd06F3$\"+WS'y_&F6$
\"+VS'y_\"F37%$\"+-,m>))F6$\"+a+$)4WF6$\"+U0IB(*F67%$\"+C@f$e'F6$\"+kg
z\"H$F6$\"+f1'zT&F67%$\"+ZT_ZVF6$\"+v?wt@F6$\"+x2iiBF67%$\"+qhX6@F6$\"
+'3Gd0\"F6$\"+]*3Gd&!#67%$!*2=hC\"F6$!).fIiF6$\"+*z75%>!#87%$\"+uhX6@F
6$\"+z!Gd0\"F6$\"+_*3Gd&Fdo-%'COLOURG6&%$RGBG$\"*++++\"!\")\"\"!F[q-%*
THICKNESSG6#\"\"#-%%GRIDG6&;$F/F[q$F_qF[qFcqW(\\bm\":\":40200000000000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-%&STYLEG6#%-PATCHCONTOU
RG-%+AXESLABELSG6%%\"xG%\"yG%!G-%*AXESSTYLEG6#%$BOXG" 3 546 290 290 2 
0 1 0 2 1 0 2 2 1.000000 28.000000 -45.000000 14010 14091 14086 14104 
14112 15010 15070 20510 0 17560 0 0 0 0 0 0 0 1 1 840 5063 0 0 0 0 0 
0 0 0 0 }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "g:=(x,y) -> x*sin
(x^2+y^2)/(x^2 + y^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gGR6$%\"
xG%\"yG6\"6$%)operatorG%&arrowGF)*&*&9$\"\"\"-%$sinG6#,&*$)F/\"\"#\"\"
\"F0*$)9%F7F8F0F0F8F4!\"\"F)F)F)" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 31 "plot3d(g(x,y),x=-3..3,y=-3..3);" }}{PARA 13 "" 1 "" 
{INLPLOT "6$-%%GRIDG6%;$!\"$\"\"!$\"\"$F)F&7;7;$\"1FhG6ak^7!#;$\"1)H#3
k\">iO\"F0$!12HZ$G&[(p)!#<$!1^[ym#*QF@F0$!1(42$)Qihp*F5$\"1DirxEz+7F0$
\"1(p'pE8#3e#F0$\"1-.-#oD!yDF0$\"14\"oELj?j\"F0$\"1()GV*oXqI%F5$!1e8J&
)*e'RcF5$!1s$4%)f.K<\"F0$!1*=RTGGPP\"F0FFFDFBF@F>F<F:F8F6F3F1F.7;$\"1T
a2nvO_7F0$!1mgVO%44+\"F0$!1ssIeq$p)=F0$!1$*y%[@WjF\"F5$\"1RtO*H&H1?F0$
\"14eiTYa7CF0$\"1(o1'H()ef5F0$!1(HQsZ&p**))F5$!1Fk&=)QrQCF0$!1W4#zus5E
$F0$!1Yabc>(p^$F0$!1q>\\8#>C^$F0$!19@j<(yH[$F0F[oFinFgnFenFYFWFUFSFQFO
FMFK7;$!1)3%*GS/zC(F5$!1%)QtDtR:<F0$\"19S-ZzVE8F5$\"1PEW!3&))*4#F0$\"1
37B\"RZ>z\"F0$!1?\\f%[Wy+$F5$!1[hr2:\\[BF0$!1CABLsC(>$F0$!1#)eiF*4#QGF
0$!10)e`#z*H&=F0$!18_o&pXQF)F5$!1GmKf;\"3;\"F5$\"1tA!>morK\"F5FfpFdpFb
pF`pF^pF\\pFjoFhoFfoFdoFboF`o7;$!1Q')3]>a&f\"F0$!1%4I.j\"GW5F5$\"1t$)R
sl*)*)=F0$\"1&HfS@s>V\"F0$!1#Hq!))p-*z)F5$!1Or6I/:oEF0$!1Pk+eovOEF0$!1
O&z=51%Q6F0$\"1cZ/%*G1C\")F5$\"1Fp*****GnW#F0$\"1T12eNF&\\$F0$\"1#e+n6
,=-%F0$\"1&eOjh?[<%F0FarF_rF]rF[rFiqFgqFeqFcqFaqF_qF]qF[q7;$!1)Rr)e#3T
Y'F5$\"1P`3aQ7f9F0$\"1n\\)H\"zbL9F0$!1\\\"HFKd8#yF5$!1a%elh&RtCF0$!1t>
P.w?!*>F0$\"1==_H\\th5F5$\"1OtL/KnsBF0$\"1aDl)4(pNQF0$\"1hI#3n6WL%F0$
\"1S!epi9<@%F0$\"1CZ&G_7&>RF0$\"1T'RlZ7Sy$F0F\\tFjsFhsFfsFdsFbsF`sF^sF
\\sFjrFhrFfr7;$\"1\\YM`Ri/qF5$\"11Y.\"ob_`\"F0$!1Wk@R6\\0@F5$!1GLJ7\"G
_2#F0$!1w/&HlJ9u\"F0$\"1H7mr^v+XF5$\"14;s+ha=FF0$\"1.567\\MpPF0$\"1%)y
\\dMdHMF0$\"1HO3=i&QC#F0$\"1M\"40-w^)*)F5$!1H[V['f9H*!#=$!1oAUG&p[^%F5
FguFeuFcuFauF_uF]uF[uFitFgtFetFctFat7;$\"1\\$[Lm5/H\"F0$\"1YPw))[dzdF5
$!1*oHY!\\449F0$!1DwL0z$yv\"F0$\"1OOTr>,jzFiu$\"1%4Z?P#=IBF0$\"1B.bDPV
eKF0$\"1jPi/2-YCF0$\"15tp$f@O*\\F5$!1I$)*Rq]Os\"F0$!1SPikG$3f$F0$!1,0<
Azg#y%F0$!1v%>fkar=&F0FcwFawF_wF]wF[wFivFgvFevFcvFavF_vF]v7;$\"1f%3vOx
T2\"F0$!13u,EhJXSF5$!17hh;Oi)f\"F0$!1(>vPMyWK'F5$\"1N3r_2#H[\"F0$\"1Ik
$HA*Q#p#F0$\"1pk=(e]$Q?F0$!1h\"R<*ovOmFiu$!1zy(f9%epEF0$!1I\"zl6\")=+&
F0$!1/+\"[)*zgp'F0$!1e[%=J55o(F0$!1#*fU&oC(**zF0F^yF\\yFjxFhxFfxFdxFbx
F`xF^xF\\xFjwFhw7;$\"1)p$*)36@SaF5$!1=zZz/0o))F5$!1_.0rRGN6F0$\"1[ad>Y
p5OF5$\"1xiK\\&[y\">F0$\"1itUhivf>F0$\"1t[Yi53HLF5$!1.By;tmN@F0$!14%GT
8([YXF0$!1$zS$[(z(*R'F0$!1!pW[&p(=f(F0$!1/*[Fu\")=A)F0$!1l*y![)4ZT)F0F
izFgzFezFczFazF_zF]zF[zFiyFgyFeyFcy7;$\"1A#eBUhn2\"F5$!1@r0nZ$Q*))F5$!
1:k2wP**ebF5$\"1\"4BLLjd:)F5$\"1['elP/ai\"F0$\"1T)H*[m_;'*F5$!1];**>ND
=')F5$!1yu%*p'G6+$F0$!1%fb7\"[$)*z%F0$!1oR*RH<^,'F0$!1JFDc$=;q'F0$!1Zb
Gvs;@qF0$!1-O\"QJ-26(F0Fd\\lFb\\lF`\\lF^\\lF\\\\lFj[lFh[lFf[lFd[lFb[lF
`[lF^[l7;$!1)f&=U;V*R*Fiu$!1[WYmW\\%R'F5$!1Vq8R\"pZl\"F5$\"19.\\tXFnxF
5$\"15&RnlGH0\"F0$\"1&*or[J>nDF5$!18z?)GWp>\"F0$!1,S#R*>VyEF0$!1XBUx%Q
fz$F0$!1a^$3dXxY%F0$!1I?/'QbUz%F0$!1%4'GLi,>\\F0$!1f/4&=z![\\F0F_^lF]^
lF[^lFi]lFg]lFe]lFc]lFa]lF_]lF]]lF[]lFi\\l7;$!1O9T`mpw(*Fiu$!1\"z,fP3J
>$F5$FgpFiu$\"1\"4Xu!zmoWF5$\"10%oNl!R**[F5$!1KyMy8NF8Fiu$!1-vh.K,rzF5
$!1s*oB1-i`\"F0$!1EsoN/Zb?F0$!1\\=w\"4*QSBF0$!1ZIk;\"3&fCF0$!1aXqnY\\$
\\#F0$!13_p8FP)\\#F0Fi_lFg_lFe_lFc_lFa_lF__lF]_lF[_lFi^lFh^lFf^lFd^l7;
F)F)F)F)F)F)F)F)F)F)F)F)%%FAILGF)F)F)F)F)F)F)F)F)F)F)F)7;$\"+ampw(*!#7
$\"+w$3J>$!#6$\"+f;\"3;\"Fb`l$!+3zmoWFe`l$!+a1R**[Fe`l$\"+z8NF8Fb`l$\"
+-K,rzFe`l$\"+i??O:!#5$\"+O/Zb?Fbal$\"+\"4*QSBFbal$\"+<\"3&fCFbal$\"+o
Y\\$\\#Fbal$\"+9FP)\\#FbalFialFgalFealFcalF`alF^alF\\alFj`lFh`lFf`lFc`
lF``l7;$\"+V;V*R*Fb`l$\"+nW\\%R'Fe`l$\"+S\"pZl\"Fe`l$!+tXFnxFe`l$!+d'G
H0\"Fbal$!+\\J>nDFe`l$\"+)GWp>\"Fbal$\"+%*>VyEFbal$\"+y%Qfz$Fbal$\"+sb
unWFbal$\"+'QbUz%Fbal$\"+Mi,>\\Fbal$\"+)=z![\\FbalFdclFbclF`clF^clF\\c
lFjblFhblFfblFdblFbblF`blF^bl7;$!+B9ww5Fe`l$\"+nZ$Q*))Fe`l$\"+wP**ebFe
`l$!+LLwb\")Fe`l$!+xVSD;Fbal$!+[m_;'*Fe`l$\"+AND=')Fe`l$\"+q'G6+$Fbal$
\"+7[$)*z%Fbal$\"+%H<^,'Fbal$\"+d$=;q'Fbal$\"+vs;@qFbal$\"+8Bq5rFbalF_
elF]elF[elFidlFgdlFedlFcdlFadlF_dlF]dlF[dlFicl7;$!+46@SaFe`l$\"+z/0o))
Fe`l$\"+rRGN6Fbal$!+>Yp5OFe`l$!+\\&[y\">Fbal$!+hivf>Fbal$!+i53HLFe`l$
\"+<tmN@Fbal$\"+Mr[YXFbal$\"+[(z(*R'Fbal$\"+bp(=f(Fbal$\"+V<)=A)Fbal$
\"+[)4ZT)FbalFjflFhflFfflFdflFbflF`flF^flF\\flFjelFhelFfelFdel7;$!+nt<
u5Fbal$\"+EhJXSFe`l$\"+<Oi)f\"Fbal$\"+W$yWK'Fe`l$!+`2#H[\"Fbal$!+C#*Q#
p#Fbal$!+(e]$Q?Fbal$\"+$*ovOmFb`l$\"+YTepEFbal$\"+:6)=+&Fbal$\"+$)*zgp
'Fbal$\"+9.,\"o(Fbal$\"+&oC(**zFbalFehlFchlFahlF_hlF]hlF[hlFiglFgglFeg
lFcglFaglF_gl7;$!+j1T!H\"Fbal$!+*)[dzdFe`l$\"+0\\449Fbal$\"+0z$yv\"Fba
l$!+t>,jzFb`l$!+sB=IBFbal$!+FPVeKFbal$!+02-YCFbal$!+%f@O*\\Fe`l$\"+/2l
B<Fbal$\"+lG$3f$Fbal$\"+Azg#y%Fbal$\"+WY:(=&FbalF`jlF^jlF\\jlFjilFhilF
filFdilFbilF`ilF^ilF\\ilFjhl7;$!+aRi/qFe`l$!+\"ob_`\"Fbal$\"+S6\\0@Fe`
l$\"+7\"G_2#Fbal$\"+`;VT<Fbal$!+s^v+XFe`l$!+,ha=FFbal$!+7\\MpPFbal$!+d
MdHMFbal$!+=i&QC#Fbal$!+@g<&)*)Fe`l$\"+['f9H*Fb`l$\"+G&p[^%Fe`lF[\\mFi
[mFg[mFe[mFc[mFa[mF_[mF][mF[[mFijlFgjlFejl7;$\"+e#3TY'Fe`l$!+aQ7f9Fbal
$!+8zbL9Fbal$\"+BtN@yFe`l$\"+;cRtCFbal$\"+/w?!*>Fbal$!+I\\th5Fe`l$!+/K
nsBFbal$!+)4(pNQFbal$!+r;TMVFbal$!+EYr6UFbal$!+AD^>RFbal$!+yC,%y$FbalF
f]mFd]mFb]mF`]mF^]mF\\]mFj\\mFh\\mFf\\mFd\\mFb\\mF`\\m7;$\"+]>a&f\"Fba
l$\"+I;GW5Fe`l$!+tl*)*)=Fbal$!+9A(>V\"Fbal$\"+))p-*z)Fe`l$\"+I/:oEFbal
$\"+fovOEFbal$\"+-hSQ6Fbal$!+$*G1C\")Fe`l$!+,!HnW#Fbal$!+fNF&\\$Fbal$!
+;6!=-%Fbal$!+;1#[<%FbalFa_mF__mF]_mF[_mFi^mFg^mFe^mFc^mFa^mF_^mF]^mF[
^m7;$\"+2W!zC(Fe`l$\"+EtR:<Fbal$!+ZzVE8Fe`l$!+!3&))*4#Fbal$!+\"RZ>z\"F
bal$\"+'[Wy+$Fe`l$\"+3:\\[BFbal$\"+LsC(>$Fbal$\"+G*4#QGFbal$\"+Ez*H&=F
bal$\"+(pXQF)Fe`l$Fg`lFe`l$!+i'orK\"Fe`lF\\amFj`mFh`mFf`mFd`mFb`mF``mF
^`mF\\`mFj_mFh_mFf_m7;$!+nvO_7Fbal$\"+P%44+\"Fbal$\"+eq$p)=Fbal$\"+:UM
w7Fe`l$!+*H&H1?Fbal$!+UYa7CFbal$!+I()ef5Fbal$\"+xap**))Fe`l$\"+\")QrQC
Fbal$\"+[F2hKFbal$\"+c>(p^$Fbal$\"+8#>C^$Fbal$\"+<(yH[$FbalFfbmFdbmFbb
mF`bmF^bmF\\bmFjamFhamFfamFdamFbamF`am7;$!+6ak^7Fbal$!+k\">iO\"Fbal$\"
+&G&[(p)Fe`l$\"+m#*QF@Fbal$\"+&Qihp*Fe`l$!+yEz+7Fbal$!+F8#3e#Fbal$!+#o
D!yDFbal$!+LL1K;Fbal$!+\"pXqI%Fe`l$\"+')*e'RcFe`l$\"+)f.K<\"Fbal$\"+%G
GPP\"FbalFadmF_dmF]dmF[dmFicmFgcmFecmFccmFacmF_cmF]cmF[cm-%+AXESLABELS
G6%%\"xG%\"yG%!G" 3 547 345 345 4 0 1 0 2 1 0 1 2 1.000000 51.000000 
72.000000 14030 14091 14086 14104 14112 15010 15070 20540 0 17560 0 0 
0 0 0 0 0 1 0 488 5786 0 8356 16344 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 21 "findMin(g,[1.0,2.0]);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6&Q-finished~in~6\"\"#<Q.steps.~ht~is~F$$!+b;'H;$!#5" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#7$$\"+-/.y<!\"*$\"+MRw.9F&" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 130 "c:=spacecurve(findPath,thickness=2
,color=red):\ns:=plot3d(g(x,y),x=-3..3,y=-3..3,style=patchcontour,axes
=boxed):\ndisplay3d([c,s]);\n" }}{PARA 13 "" 1 "" {INLPLOT "6&-%'CURVE
SG6%747%$\"#5!\"\"$\"#?F*$!+\\&[y\">!#57%$\"+-c0,5!\"*$\"+HA+]<F3$!+Co
&R'>F/7%$\"+[6M)=\"F3$\"+PXg:>F3$!+7!43=#F/7%$\"+.k/H6F3$\"+X!QFn\"F3$
!+K$=UA#F/7%$\"+7d]@8F3$\"+6\")HK=F3$!+*)>f$R#F/7%$\"+daJK7F3$\"+!>\\(
)f\"F3$!+7M$)HCF/7%$\"+LP[H9F3$\"+#Q_Cv\"F3$!+Mp+sDF/7%$\"+?-s=8F3$\"+
d'G$G:F3$!+a^Z+EF/7%$\"+kBK?:F3$\"+_$ohn\"F3$!+]`_CFF/7%$\"+;9a#R\"F3$
\"+v:Hh9F3$!+S^oXFF/7%$\"+A*y#)f\"F3$\"+=+K.;F3$!+f\\jcGF/7%$\"+-/\\c9
F3$\"+\"4<uR\"F3$!+cd>rGF/7%$\"+l%\\gm\"F3$\"+-RuL:F3$!+w@<sHF/7%$\"+`
tV7:F3$\"+fY]O8F3$!+!z^3)HF/7%$\"+rp]D<F3$\"+VnFn9F3$!+;x&R2$F/7%$\"+o
uuh:F3$\"+hxPy7F3$!+(R9u2$F/7%$\"+-/.y<F3$\"+MRw.9F3$!+[S9kJF/7%$\"+E(
eag\"F3$\"+[*zGA\"F3$!+b;'H;$F/-%'COLOURG6&%$RGBG$\"*++++\"!\")\"\"!Fi
s-%*THICKNESSG6#\"\"#-%%GRIDG6&;$!\"$Fis$\"\"$FisFat7;7;$\"1FhG6ak^7!#
;$\"1)H#3k\">iO\"Fjt$!12HZ$G&[(p)!#<$!1^[ym#*QF@Fjt$!1(42$)Qihp*F_u$\"
1DirxEz+7Fjt$\"1(p'pE8#3e#Fjt$\"1-.-#oD!yDFjt$\"14\"oELj?j\"Fjt$\"1()G
V*oXqI%F_u$!1e8J&)*e'RcF_u$!1s$4%)f.K<\"Fjt$!1*=RTGGPP\"FjtF`vF^vF\\vF
juFhuFfuFduFbuF`uF]uF[uFht7;$\"1Ta2nvO_7Fjt$!1mgVO%44+\"Fjt$!1ssIeq$p)
=Fjt$!1$*y%[@WjF\"F_u$\"1RtO*H&H1?Fjt$\"14eiTYa7CFjt$\"1(o1'H()ef5Fjt$
!1(HQsZ&p**))F_u$!1Fk&=)QrQCFjt$!1W4#zus5E$Fjt$!1Yabc>(p^$Fjt$!1q>\\8#
>C^$Fjt$!19@j<(yH[$FjtF[xFiwFgwFewFcwFawF_wF]wF[wFivFgvFev7;$!1)3%*GS/
zC(F_u$!1%)QtDtR:<Fjt$\"19S-ZzVE8F_u$\"1PEW!3&))*4#Fjt$\"137B\"RZ>z\"F
jt$!1?\\f%[Wy+$F_u$!1[hr2:\\[BFjt$!1CABLsC(>$Fjt$!1#)eiF*4#QGFjt$!10)e
`#z*H&=Fjt$!18_o&pXQF)F_u$!1GmKf;\"3;\"F_u$\"1tA!>morK\"F_uFfyFdyFbyF`
yF^yF\\yFjxFhxFfxFdxFbxF`x7;$!1Q')3]>a&f\"Fjt$!1%4I.j\"GW5F_u$\"1t$)Rs
l*)*)=Fjt$\"1&HfS@s>V\"Fjt$!1#Hq!))p-*z)F_u$!1Or6I/:oEFjt$!1Pk+eovOEFj
t$!1O&z=51%Q6Fjt$\"1cZ/%*G1C\")F_u$\"1Fp*****GnW#Fjt$\"1T12eNF&\\$Fjt$
\"1#e+n6,=-%Fjt$\"1&eOjh?[<%FjtFa[lF_[lF][lF[[lFizFgzFezFczFazF_zF]zF[
z7;$!1)Rr)e#3TY'F_u$\"1P`3aQ7f9Fjt$\"1n\\)H\"zbL9Fjt$!1\\\"HFKd8#yF_u$
!1a%elh&RtCFjt$!1t>P.w?!*>Fjt$\"1==_H\\th5F_u$\"1OtL/KnsBFjt$\"1aDl)4(
pNQFjt$\"1hI#3n6WL%Fjt$\"1S!epi9<@%Fjt$\"1CZ&G_7&>RFjt$\"1T'RlZ7Sy$Fjt
F\\]lFj\\lFh\\lFf\\lFd\\lFb\\lF`\\lF^\\lF\\\\lFj[lFh[lFf[l7;$\"1\\YM`R
i/qF_u$\"11Y.\"ob_`\"Fjt$!1Wk@R6\\0@F_u$!1GLJ7\"G_2#Fjt$!1w/&HlJ9u\"Fj
t$\"1H7mr^v+XF_u$\"14;s+ha=FFjt$\"1.567\\MpPFjt$\"1%)y\\dMdHMFjt$\"1HO
3=i&QC#Fjt$\"1M\"40-w^)*)F_u$!1H[V['f9H*!#=$!1oAUG&p[^%F_uFg^lFe^lFc^l
Fa^lF_^lF]^lF[^lFi]lFg]lFe]lFc]lFa]l7;$\"1\\$[Lm5/H\"Fjt$\"1YPw))[dzdF
_u$!1*oHY!\\449Fjt$!1DwL0z$yv\"Fjt$\"1OOTr>,jzFi^l$\"1%4Z?P#=IBFjt$\"1
B.bDPVeKFjt$\"1jPi/2-YCFjt$\"15tp$f@O*\\F_u$!1I$)*Rq]Os\"Fjt$!1SPikG$3
f$Fjt$!1,0<Azg#y%Fjt$!1v%>fkar=&FjtFc`lFa`lF_`lF]`lF[`lFi_lFg_lFe_lFc_
lFa_lF__lF]_l7;$\"1f%3vOxT2\"Fjt$!13u,EhJXSF_u$!17hh;Oi)f\"Fjt$!1(>vPM
yWK'F_u$\"1N3r_2#H[\"Fjt$\"1Ik$HA*Q#p#Fjt$\"1pk=(e]$Q?Fjt$!1h\"R<*ovOm
Fi^l$!1zy(f9%epEFjt$!1I\"zl6\")=+&Fjt$!1/+\"[)*zgp'Fjt$!1e[%=J55o(Fjt$
!1#*fU&oC(**zFjtF^blF\\blFjalFhalFfalFdalFbalF`alF^alF\\alFj`lFh`l7;$
\"1)p$*)36@SaF_u$!1=zZz/0o))F_u$!1_.0rRGN6Fjt$\"1[ad>Yp5OF_u$\"1xiK\\&
[y\">Fjt$\"1itUhivf>Fjt$\"1t[Yi53HLF_u$!1.By;tmN@Fjt$!14%GT8([YXFjt$!1
$zS$[(z(*R'Fjt$!1!pW[&p(=f(Fjt$!1/*[Fu\")=A)Fjt$!1l*y![)4ZT)FjtFiclFgc
lFeclFcclFaclF_clF]clF[clFiblFgblFeblFcbl7;$\"1A#eBUhn2\"F_u$!1@r0nZ$Q
*))F_u$!1:k2wP**ebF_u$\"1\"4BLLjd:)F_u$\"1['elP/ai\"Fjt$\"1T)H*[m_;'*F
_u$!1];**>ND=')F_u$!1yu%*p'G6+$Fjt$!1%fb7\"[$)*z%Fjt$!1oR*RH<^,'Fjt$!1
JFDc$=;q'Fjt$!1ZbGvs;@qFjt$!1-O\"QJ-26(FjtFdelFbelF`elF^elF\\elFjdlFhd
lFfdlFddlFbdlF`dlF^dl7;$!1)f&=U;V*R*Fi^l$!1[WYmW\\%R'F_u$!1Vq8R\"pZl\"
F_u$\"19.\\tXFnxF_u$\"15&RnlGH0\"Fjt$\"1&*or[J>nDF_u$!18z?)GWp>\"Fjt$!
1,S#R*>VyEFjt$!1XBUx%Qfz$Fjt$!1a^$3dXxY%Fjt$!1I?/'QbUz%Fjt$!1%4'GLi,>
\\Fjt$!1f/4&=z![\\FjtF_glF]glF[glFiflFgflFeflFcflFaflF_flF]flF[flFiel7
;$!1O9T`mpw(*Fi^l$!1\"z,fP3J>$F_u$FgyFi^l$\"1\"4Xu!zmoWF_u$\"10%oNl!R*
*[F_u$!1KyMy8NF8Fi^l$!1-vh.K,rzF_u$!1s*oB1-i`\"Fjt$!1EsoN/Zb?Fjt$!1\\=
w\"4*QSBFjt$!1ZIk;\"3&fCFjt$!1aXqnY\\$\\#Fjt$!13_p8FP)\\#FjtFihlFghlFe
hlFchlFahlF_hlF]hlF[hlFiglFhglFfglFdgl7;FisFisFisFisFisFisFisFisFisFis
FisFis%%FAILGFisFisFisFisFisFisFisFisFisFisFisFis7;$\"+ampw(*!#7$\"+w$
3J>$!#6$\"+f;\"3;\"Fbil$!+3zmoWFeil$!+a1R**[Feil$\"+z8NF8Fbil$\"+-K,rz
Feil$\"+i??O:F/$\"+O/Zb?F/$\"+\"4*QSBF/$\"+<\"3&fCF/$\"+oY\\$\\#F/$\"+
9FP)\\#F/FhjlFfjlFdjlFbjlF`jlF^jlF\\jlFjilFhilFfilFcilF`il7;$\"+V;V*R*
Fbil$\"+nW\\%R'Feil$\"+S\"pZl\"Feil$!+tXFnxFeil$!+d'GH0\"F/$!+\\J>nDFe
il$\"+)GWp>\"F/$\"+%*>VyEF/$\"+y%Qfz$F/$\"+sbunWF/$\"+'QbUz%F/$\"+Mi,>
\\F/$\"+)=z![\\F/Fc\\mFa\\mF_\\mF]\\mF[\\mFi[mFg[mFe[mFc[mFa[mF_[mF][m
7;$!+B9ww5Feil$\"+nZ$Q*))Feil$\"+wP**ebFeil$!+LLwb\")Feil$!+xVSD;F/$!+
[m_;'*Feil$\"+AND=')Feil$\"+q'G6+$F/$\"+7[$)*z%F/$\"+%H<^,'F/$\"+d$=;q
'F/$\"+vs;@qF/$\"+8Bq5rF/F^^mF\\^mFj]mFh]mFf]mFd]mFb]mF`]mF^]mF\\]mFj
\\mFh\\m7;$!+46@SaFeil$\"+z/0o))Feil$\"+rRGN6F/$!+>Yp5OFeilF-$!+hivf>F
/$!+i53HLFeil$\"+<tmN@F/$\"+Mr[YXF/$\"+[(z(*R'F/$\"+bp(=f(F/$\"+V<)=A)
F/$\"+[)4ZT)F/Fg_mFe_mFc_mFa_mF__mF]_mF[_mF-Fi^mFg^mFe^mFc^m7;$!+nt<u5
F/$\"+EhJXSFeil$\"+<Oi)f\"F/$\"+W$yWK'Feil$!+`2#H[\"F/$!+C#*Q#p#F/$!+(
e]$Q?F/$\"+$*ovOmFbil$\"+YTepEF/$\"+:6)=+&F/$\"+$)*zgp'F/$\"+9.,\"o(F/
$\"+&oC(**zF/FbamF`amF^amF\\amFj`mFh`mFf`mFd`mFb`mF``mF^`mF\\`m7;$!+j1
T!H\"F/$!+*)[dzdFeil$\"+0\\449F/$\"+0z$yv\"F/$!+t>,jzFbil$!+sB=IBF/$!+
FPVeKF/$!+02-YCF/$!+%f@O*\\Feil$\"+/2lB<F/$\"+lG$3f$F/$\"+Azg#y%F/$\"+
WY:(=&F/F]cmF[cmFibmFgbmFebmFcbmFabmF_bmF]bmF[bmFiamFgam7;$!+aRi/qFeil
$!+\"ob_`\"F/$\"+S6\\0@Feil$\"+7\"G_2#F/$\"+`;VT<F/$!+s^v+XFeil$!+,ha=
FF/$!+7\\MpPF/$!+dMdHMF/$!+=i&QC#F/$!+@g<&)*)Feil$\"+['f9H*Fbil$\"+G&p
[^%FeilFhdmFfdmFddmFbdmF`dmF^dmF\\dmFjcmFhcmFfcmFdcmFbcm7;$\"+e#3TY'Fe
il$!+aQ7f9F/$!+8zbL9F/$\"+BtN@yFeil$\"+;cRtCF/$\"+/w?!*>F/$!+I\\th5Fei
l$!+/KnsBF/$!+)4(pNQF/$!+r;TMVF/$!+EYr6UF/$!+AD^>RF/$!+yC,%y$F/FcfmFaf
mF_fmF]fmF[fmFiemFgemFeemFcemFaemF_emF]em7;$\"+]>a&f\"F/$\"+I;GW5Feil$
!+tl*)*)=F/$!+9A(>V\"F/$\"+))p-*z)Feil$\"+I/:oEF/$\"+fovOEF/$\"+-hSQ6F
/$!+$*G1C\")Feil$!+,!HnW#F/$!+fNF&\\$F/$!+;6!=-%F/$!+;1#[<%F/F^hmF\\hm
FjgmFhgmFfgmFdgmFbgmF`gmF^gmF\\gmFjfmFhfm7;$\"+2W!zC(Feil$\"+EtR:<F/$!
+ZzVE8Feil$!+!3&))*4#F/$!+\"RZ>z\"F/$\"+'[Wy+$Feil$\"+3:\\[BF/$\"+LsC(
>$F/$\"+G*4#QGF/$\"+Ez*H&=F/$\"+(pXQF)Feil$FgilFeil$!+i'orK\"FeilFiimF
gimFeimFcimFaimF_imF]imF[imFihmFghmFehmFchm7;$!+nvO_7F/$\"+P%44+\"F/$
\"+eq$p)=F/$\"+:UMw7Feil$!+*H&H1?F/$!+UYa7CF/$!+I()ef5F/$\"+xap**))Fei
l$\"+\")QrQCF/$\"+[F2hKF/$\"+c>(p^$F/$\"+8#>C^$F/$\"+<(yH[$F/Fc[nFa[nF
_[nF][nF[[nFijmFgjmFejmFcjmFajmF_jmF]jm7;$!+6ak^7F/$!+k\">iO\"F/$\"+&G
&[(p)Feil$\"+m#*QF@F/$\"+&Qihp*Feil$!+yEz+7F/$!+F8#3e#F/$!+#oD!yDF/$!+
LL1K;F/$!+\"pXqI%Feil$\"+')*e'RcFeil$\"+)f.K<\"F/$\"+%GGPP\"F/F^]nF\\]
nFj\\nFh\\nFf\\nFd\\nFb\\nF`\\nF^\\nF\\\\nFj[nFh[n-%&STYLEG6#%-PATCHCO
NTOURG-%+AXESLABELSG6%%\"xG%\"yG%!G-%*AXESSTYLEG6#%$BOXG" 3 549 549 
549 2 0 1 0 2 1 0 2 2 1.000000 16.000000 -18.000000 14010 14091 14086 
14104 14112 15010 15070 20510 0 17560 0 0 0 0 0 0 0 1 1 678 6974 0 0 
0 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 544 "findMin :=
 proc (f, guess)\n  local pt,newpt,h,ht,newht,i;\n  global findPath;\n
  pt := guess;\n  h := .1;\n  ht := f(op(pt));\n  findPath := [ [ op(p
t), ht ]];\n\n  for i from 1 to 200 do\n    h := .1/leng(Df(f,pt));\n \+
   newpt := gradstep(f,pt,h);\n    newht := f(op(newpt));\n    findPat
h := [ op(findPath) , [ op(newpt), newht ]];\n    if ( ht < newht ) th
en\n       print (\"finished in \",i,\"steps. ht is \", newht);\n     \+
  RETURN(pt);\n    fi;\n    ht := newht;\n    pt:= newpt;\n   od;\n   \+
print (\"finished in \",i,\"steps. ht is \", newht);\n   RETURN(pt);\n
end:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 159 "findMin(g,[1.0,2.0
]);\n        \nd:=spacecurve(findPath,thickness=2,color=blue):\ns:=plo
t3d(g(x,y),x=0..3,y=0..3,style=wireframe,axes=boxed):\ndisplay3d([c,d,
s]);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&Q-finished~in~6\"\"#qQ.steps
.~ht~is~F$$!+ctTtW!#5" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7$$\"+MHen@!
\"*$\"+S'))3Y$!#5" }}{PARA 13 "" 1 "" {INLPLOT "6'-%'CURVESG6%747%$\"#
5!\"\"$\"#?F*$!+\\&[y\">!#57%$\"+-c0,5!\"*$\"+HA+]<F3$!+Co&R'>F/7%$\"+
[6M)=\"F3$\"+PXg:>F3$!+7!43=#F/7%$\"+.k/H6F3$\"+X!QFn\"F3$!+K$=UA#F/7%
$\"+7d]@8F3$\"+6\")HK=F3$!+*)>f$R#F/7%$\"+daJK7F3$\"+!>\\()f\"F3$!+7M$
)HCF/7%$\"+LP[H9F3$\"+#Q_Cv\"F3$!+Mp+sDF/7%$\"+?-s=8F3$\"+d'G$G:F3$!+a
^Z+EF/7%$\"+kBK?:F3$\"+_$ohn\"F3$!+]`_CFF/7%$\"+;9a#R\"F3$\"+v:Hh9F3$!
+S^oXFF/7%$\"+A*y#)f\"F3$\"+=+K.;F3$!+f\\jcGF/7%$\"+-/\\c9F3$\"+\"4<uR
\"F3$!+cd>rGF/7%$\"+l%\\gm\"F3$\"+-RuL:F3$!+w@<sHF/7%$\"+`tV7:F3$\"+fY
]O8F3$!+!z^3)HF/7%$\"+rp]D<F3$\"+VnFn9F3$!+;x&R2$F/7%$\"+ouuh:F3$\"+hx
Py7F3$!+(R9u2$F/7%$\"+-/.y<F3$\"+MRw.9F3$!+[S9kJF/7%$\"+E(eag\"F3$\"+[
*zGA\"F3$!+b;'H;$F/-%'COLOURG6&%$RGBG$\"*++++\"!\")\"\"!Fis-%*THICKNES
SG6#\"\"#-F$6%7coF'7%$\"+TAU+5F3$\"+\"*3++>F3$!+2$Q&e@F/7%$\"+&f!Q(3\"
F3$\"+1Bi]=F3$!+\"\\JrM#F/7%$\"+,)zF<\"F3$\"+-Pf)z\"F3$!+$yl0`#F/7%$\"
+)e,XD\"F3$\"+;3'4u\"F3$!+phg3FF/7%$\"+3)RaL\"F3$\"+!fKAo\"F3$!+1(e0)G
F/7%$\"+XY^49F3$\"+IV0:;F3$!+G`MYIF/7%$\"+(**)Q*[\"F3$\"+kr)[b\"F3$!+S
9J.KF/7%$\"+&*=YS:F3$\"+()H\"*o9F3$!+!3%3WLF/7%$\"+&3d%Q;F3$\"+k&*)*[9
F3$!+UG)fT$F/7%$\"+E$fGg\"F3$\"+:,ab8F3$!+C-ooMF/7%$\"+qy_*p\"F3$\"+Yo
8\"Q\"F3$!+H]KJNF/7%$\"+[!)oa;F3$\"+cMv\"H\"F3$!+Q=$3e$F/7%$\"+^/e^<F3
$\"+.$*[;8F3$!+z%fQj$F/7%$\"+5r0+<F3$\"+8VyI7F3$!+xr[yOF/7%$\"+kd5(z\"
F3$\"+V)**[D\"F3$!+,1wCPF/7%$\"+zF4S<F3$\"+$QWF<\"F3$!+bZ]kPF/7%$\"+Li
HP=F3$\"+x\"Gi>\"F3$!+\"[ra!QF/7%$\"+*)zfv<F3$\"+&[Iv6\"F3$!+VNtSQF/7%
$\"+GN'H(=F3$\"+QHLS6F3$!+0&3t(QF/7%$\"+%f*>2=F3$\"+X'**\\1\"F3$!+z5c3
RF/7%$\"+))=t/>F3$\"+]z2(3\"F3$!+\\BSTRF/7%$\"+2pSN=F3$\"+8#3],\"F3$!+
>g4pRF/7%$\"+@l5L>F3$\"+8RLO5F3$!+rIr)*RF/7%$\"+<Jkg=F3$\"+^_?u'*F/$!+
AEDBSF/7%$\"+cr]e>F3$\"+q[yz)*F/$!+*Gd+0%F/7%$\"+;^E$)=F3$\"+%o,6A*F/$
!+C\"*zrSF/7%$\"+!>)G\")>F3$\"+`%f*=%*F/$!+fL8'4%F/7%$\"+4sd.>F3$\"+BW
f*y)F/$!+u$*Q:TF/7%$\"+pAv,?F3$\"+(Qn(z*)F/$!+*>Uv8%F/7%$\"+.6%=#>F3$
\"+`Zey$)F/$!+l^eaTF/7%$\"+#4g,-#F3$\"+A2<h&)F/$!+[R![<%F/7%$\"+fMGQ>F
3$\"+;Q/()zF/$!+LG()*=%F/7%$\"+*yPn.#F3$\"+#=&=i\")F/$!+n7P3UF/7%$\"+S
<5`>F3$\"+T`+9wF/$!+ffn@UF/7%$\"+JEo^?F3$\"+zm(=y(F/$!+++kQUF/7%$\"+I)
ok'>F3$\"+d&f&esF/$!+r`O]UF/7%$\"+av;l?F3$\"+z\"e$>uF/$!+bx&fE%F/7%$\"
+Wn`y>F3$\"+[\"[)>pF/$!+=rEwUF/7%$\"+%yWt2#F3$\"+uoytqF/$!+c4j!H%F/7%$
\"+S'R%*)>F3$\"+\\*fqf'F/$!+d*o'*H%F/7%$\"+,)[$)3#F3$\"+0;OWnF/$!+.1$H
J%F/7%$\"++jH**>F3$\"+=tU*G'F/$!+tc#3K%F/7%$\"+!y)H)4#F3$\"+00KIkF/$!+
jq4LVF/7%$\"+#>7#3?F3$\"+yHA'*fF/$!+8N'*RVF/7%$\"+>1I2@F3$\"+C)Q48'F/$
!+!3W8N%F/7%$\"+\">\"G;?F3$\"+[sv;dF/$!+bQGdVF/7%$\"+W'[a6#F3$\"+Op_Xe
F/$!+t@'yO%F/7%$\"+SqeB?F3$\"+,cP]aF/$!+kj'HP%F/7%$\"+_q#G7#F3$\"+l%GM
d&F/$!+'[@GQ%F/7%$\"+'e/-.#F3$\"+rkX'>&F/$!+?;<(Q%F/7%$\"+R6^H@F3$\"+c
&=SJ&F/$!+bUP'R%F/7%$\"+T3?O?F3$\"+v#4W&\\F/$!+0M/+WF/7%$\"+b$ob8#F3$
\"+aAqm]F/$!+*)ol3WF/7%$\"+(*ejT?F3$\"+DEnBZF/$!+i1r6WF/7%$\"+4#f59#F3
$\"+zH\"4$[F/$!+?=z>WF/7%$\"+4PcY?F3$\"+kEr.XF/$!+o\"*GAWF/7%$\"+b!Qg9
#F3$\"+1661YF/$!+_!*))HWF/7%$\"+'yK50#F3$\"+m:-%H%F/$!+>I)=V%F/7%$\"+y
Pb]@F3$\"+9Ey\"R%F/$!+Zv/RWF/7%$\"+'y'3b?F3$\"+;h6%4%F/$!+2feSWF/7%$\"
+(Q]Y:#F3$\"+=yV(=%F/$!+AkNZWF/7%$\"+R]we?F3$\"+8k`.RF/$!+NA[[WF/7%$\"
+UvOe@F3$\"+!=5E*RF/$!+1g*[X%F/7%$\"+4I5i?F3$\"+aY%=s$F/$!+@\"[cX%F/7%
$\"+95uh@F3$\"+t^&o!QF/$!+f(Q<Y%F/7%$\"+*pK^1#F3$\"+'*Ri[NF/$!+[A:iWF/
7%$\"+\"4.[;#F3$\"+6#\\(HOF/$!+*3]zY%F/7%$\"+4I)y1#F3$\"+*[xMQ$F/$!+Vm
0oWF/7%$\"+MHen@F3$\"+S'))3Y$F/$!+'4*etWF/7%$\"+^+Qq?F3$\"+rq-EKF/$!+c
tTtWF/-Fcs6&FesFisFisFfsFjs-%%GRIDG6&;Fis$\"\"$FisF`cm7;7;%%FAILGFisFi
sFisFisFisFisFisFisFisFisFisFisFisFisFisFisFisFisFisFisFisFisFisFis7;$
\"+Q\"\\*\\7F/$\"+glz\\7F/$\"+A)G([7F/$\"+U*>\\C\"F/$\"+qCNN7F/$\"+y%*
*e@\"F/$\"+uM_\"=\"F/$\"+=!om7\"F/$\"+#=?f/\"F/$\"+?a)*\\$*!#6$\"+r$z0
#zF[em$\"+$zv=>'F[em$\"+GH9QUF[em$\"+!4[`>#F[em$\"+emjvD!#7$!+oxnW8F[e
m$!+w&3tQ#F[em$!+#H([8FF[em$!+VUt)H#F[em$!+]')\\'H\"F[em$!+LJ7.N!#8$\"
+^p:c5F[em$\"+,77(e\"F[em$\"+-vtt8F[em$\"+2J(e^&Ffem7;$\"+9FP)\\#F/$\"
+XwX(\\#F/$\"+oY\\$\\#F/$\"+iQ%G[#F/$\"+<\"3&fCF/$\"+]IK:CF/$\"+\"4*QS
BF/$\"+#Q$*QA#F/$\"+O/Zb?F/$\"+7\"*>F=F/$\"+i??O:F/$\"+3>e(=\"F/$\"+-K
,rzF[em$\"+$y(\\ERF[em$\"+z8NF8Ffem$!+ez0aHF[em$!+a1R**[F[em$!+tZg6aF[
em$!+3zmoWF[em$!+Ky^-CF[em$\"+f;\"3;\"Ffem$\"+U')eKAF[em$\"+w$3J>$F[em
$\"+,<sqEF[em$\"+ampw(*Ffem7;$\"+%f_wt$F/$\"+F)fZt$F/$\"+$zlUs$F/$\"+!
pc2q$F/$\"+FvNbOF/$\"+e33wNF/$\"+Q#e&[MF/$\"+PaOdKF/$\"+%pX\"))HF/$\"+
)QZ1j#F/$\"+Z\\e#=#F/$\"+m(yQl\"F/$\"+#RZ.2\"F/$\"+a&)3aZF[em$!+!*=C*>
(Ffem$!+G1e[]F[em$!+228;wF[em$!+iO+T!)F[em$!+8vlcjF[em$!+W!)z?JF[em$\"
+'[2CH'Ffem$\"+*oZyi$F[em$\"+x]'G\"[F[em$\"+jWy(z$F[em$\"+)>J,:\"F[em7
;$\"+)=z![\\F/$\"+z)49%\\F/$\"+Mi,>\\F/$\"+N+\"Q([F/$\"+'QbUz%F/$\"+V$
\\\\m%F/$\"+sbunWF/$\"+J2o$=%F/$\"+y%Qfz$F/$\"+?&\\RH$F/$\"+%*>VyEF/$
\"+]**pm>F/$\"+)GWp>\"F/$\"+'GNcH%F[em$!+\\J>nDF[em$!+TJ]exF[em$!+d'GH
0\"F/$!+_RpZ5F/$!+tXFnxF[em$!+UI:ZKF[em$\"+S\"pZl\"F[em$\"+A@%[H&F[em$
\"+nW\\%R'F[em$\"+(>kDj%F[em$\"+V;V*R*Ffem7;$\"+VDE#4'F/$\"+)Q(\\zgF/$
\"+EwIQgF/$\"+jZ8gfF/$\"+zm=JeF/$\"+#4SLj&F/$\"+MewX`F/$\"+MHcZ\\F/$\"
+([J;U%F/$\"+1`\")fPF/$\"+rZ&*oHF/$\"+lL*o2#F/$\"+-WuO6F/$\"+4B\\qAF[e
m$!+\\&Hya&F[em$!+QOm26F/$!+:GV]8F/$!+&eA+D\"F/$!+.E8e%)F[em$!+?$)>$e#
F[em$\"+R!fHH$F[em$\"+Vy$R@(F[em$\"+r`&*>yF[em$\"+'\\6'=]F[em$\"+APjsA
Ffem7;$\"+8Bq5rF/$\"+Z39*3(F/$\"+vs;@qF/$\"+wk6(*oF/$\"+d$=;q'F/$\"+,!
>\\T'F/$\"+%H<^,'F/$\"+Qtf\"[&F/$\"+7[$)*z%F/$\"+/,[nRF/$\"+q'G6+$F/$
\"+ga[U>F/$\"+AND=')F[em$!+y$[)R9F[em$!+[m_;'*F[em$!+\\TR\"[\"F/$!+xVS
D;F/$!+Y0Cz8F/$!+LLwb\")F[em$!+6#)\\p'*Ffem$\"+wP**ebF[em$\"+L!y^E*F[e
m$\"+nZ$Q*))F[em$\"+UtYtZF[em$!+B9ww5F[em7;$\"+R(f)>zF/$\"+Hhn')yF/$\"
+Poi$y(F/$\"+`$>0g(F/$\"+y7W@tF/$\"+3\")eEpF/$\"+$*o>&R'F/$\"+xz\")4dF
/$\"+1O*>'[F/$\"+`/0fQF/$\"+WG7JFF/$\"+jOuO:F/$\"+\\9OXOF[em$!+f#\\%>n
F[em$!+\\/#)[9F/$!+/'on&=F/$!+:WYL=F/$!+RH)eR\"F/$!+5*Q')f'F[em$\"+8Sk
w;F[em$\"+'fa*R$)F[em$\"+T#)e?6F/$\"+cf_Z$*F[em$\"+Vw2:PF[em$!+$G)>&*H
F[em7;$\"+[)4ZT)F/$\"+g9On$)F/$\"+V<)=A)F/$\"+<&)QozF/$\"+bp(=f(F/$\"+
z.huqF/$\"+[(z(*R'F/$\"+@TccbF/$\"+Mr[YXF/$\"+UV^!R$F/$\"+<tmN@F/$\"+q
0F\"f)F[em$!+i53HLF[em$!+XQa98F/$!+hivf>F/$!+0?!=<#F/F-$!+Pc$*e7F/$!+>
Yp5OF[em$\"+iWto_F[em$\"+rRGN6F/$\"+&)fZm7F/$\"+z/0o))F[em$\"+<*G/r\"F
[em$!+46@SaF[em7;$\"+R@=y%)F/$\"+!)o)\\T)F/$\"+4gRA#)F/$\"+l@%>*yF/$\"
+=kQ6uF/$\"+]vmnnF/$\"+d,A^fF/$\"+)HO;'\\F/$\"+N'GV\"QF/$\"+(pDta#F/$
\"+n?iE7F/$!+OO@C_Ffem$!+O->p6F/$!+[Xz$*>F/$!+%fC(4CF/$!+YZOZBF/$!+<Tz
<=F/$!+HTRi$*F[em$\"+P)*e')zFfem$\"+gDT0&*F[em$\"+i/,79F/$\"+&\\xnJ\"F
/$\"+85?grF[em$!+ugMa7F[em$!+Damm\")F[em7;$\"+&oC(**zF/$F]emF/$\"+9.,
\"o(F/$\"+fJGvsF/$\"+$)*zgp'F/$\"+S&4z$fF/$\"+:6)=+&F/$\"+jSg,RF/$\"+Y
TepEF/$\"+3M\"HO\"F/$\"+$*ovOmFfem$!+5fc46F/$!+(e]$Q?F/$!+q0f'f#F/$!+C
#*Q#p#F/$F^fmF/$!+`2#H[\"F/$!+Gao(=%F[em$\"+W$yWK'F[em$\"+m,f!Q\"F/$\"
+<Oi)f\"F/$\"+GT<@7F/$\"+EhJXSF[em$!+Nz.#*\\F[em$!+nt<u5F/7;$\"+j@#R!p
F/$\"+wL16oF/$\"+&\\+<`'F/$\"+R@AkgF/$\"+i[U3aF/$\"+0a;pXF/$\"+WLAhNF/
$\"+**G)[T#F/$\"+.(*H\"=\"F/$!+,+:&Q'Ffem$!+,D_?7F/$!+P-iq@F/$!+g7e#z#
F/$!+@g$[)HF/$!+DB(fp#F/$!++_Gb>F/$!+j3nH*)F[em$\"+1jsMEF[em$\"+`P#zA
\"F/$\"+U'o9t\"F/$\"+BI9?;F/$\"+dTN&R*F[em$!+DNlATFfem$!+2)HK/*F[em$!+
vqgb7F/7;$\"+WY:(=&F/$\"+;:x&3&F/$\"+Azg#y%F/$\"+l&*Q\"G%F/$\"+lG$3f$F
/$\"+ll=GFF/$\"+/2lB<F/$\"+d5>\\iF[em$!+%f@O*\\F[em$!+:.#*e:F/$!+02-YC
F/$!+#G_k/$F/$!+FPVeKF/$!+oO]=IF/$!+sB=IBF/$!+eU=(G\"F/$!+t>,jzFfem$\"
+X2gG5F/$\"+0z$yv\"F/$\"+yRr**=F/$\"+0\\449F/$\"+#zC0g%F[em$!+*)[dzdF[
em$!+!>'Gl7F/$!+j1T!H\"F/7;$\"+Ya`bHF/$\"+<D&R&GF/$\"+eNA_DF/$\"+R]5g?
F/$\"+o93'R\"F/$\"+.+G.fF[em$!+'[r'>JF[em$!+>x*yC\"F/$!+ZP8O@F/$!+ea#*
zGF/$!+TxcvLF/$!+![Lv_$F/$!+Sc/qKF/$!+GSN#f#F/$!+\"fO;c\"F/$!+\\heTLF[
em$\"+-Nph&)F[em$\"+lL2S<F/$\"+n[d&3#F/$\"+`(eey\"F/$\"+'\\*Q0$*F[em$!
+=K$=\"=F[em$!+7W?=6F/$!+&=JS[\"F/$!+g#za6\"F/7;$\"+G&p[^%F[em$\"+?8*e
g$F[em$\"+['f9H*Ffem$!+<ikfLF[em$!+@g<&)*)F[em$!+uAR`:F/$!+=i&QC#F/$!+
(*3k(*GF/$!+dMdHMF/$!+z/Y[PF/$!+7\\MpPF/$!+1vBJMF/$!+,ha=FF/$!+$[i<o\"
F/$!+s^v+XF[em$\"+l<6LxF[em$\"+`;VT<F/$\"+\"op>A#F/$\"+7\"G_2#F/$\"+;#
p$G8F/$\"+S6\\0@F[em$!+u.Tj))F[em$!+\"ob_`\"F/$!+%p!>g9F/$!+aRi/qF[em7
;$!+$R]'[>F/$!+_m,<?F/$!+oMa:AF/$!+9.HCDF/$!+y'Q%4HF/$!+:4*HK$F/$!+u`[
.PF/$!+l)*yyRF/$!+g(G@2%F/$!+vXF7RF/$!+m85[MF/$!++!)HmEF/$!+A.)*3;F/$!
+EjnbQF[em$\"+#*oZ&G)F[em$\"+WQ#R\"=F/$\"+q2N`BF/$\"+5X/)H#F/$\"+\"Q0t
j\"F/$\"+U#>IV&F[em$!+M?G=kF[em$!+Su'y\\\"F/$!+,5w'o\"F/$!+%\\c]7\"F/$
!+Io2*f(Ffem7;$!+yC,%y$F/$!+@Pp>QF/$!+AD^>RF/$!+xj$>1%F/$!+EYr6UF/$!+3
]Q@VF/$!+r;TMVF/$!+1ex!>%F/$!+)4(pNQF/$!+&)RjJKF/$!+/KnsBF/$!+<7'))H\"
F/$!+I\\th5F[em$\"+#*ou`5F/$\"+/w?!*>F/$\"+@3C5DF/$\"+;cRtCF/$\"+zc-`=
F/$\"+BtN@yF[em$!+fV<VWF[em$!+8zbL9F/$!+kvLE=F/$!+aQ7f9F/$!+soGI[F[em$
\"+e#3TY'F[em7;$!+h#z]h%F/$!+(RGHh%F/$!+cS')*f%F/$!+T(olb%F/$!+&H*p_WF
/$!+!zw+D%F/$!+9#[y!RF/$!+A9+!R$F/$!+G#Q_n#F/$!+CAXo<F/$!+F_1>rF[em$\"
+X(\\=2%F[em$\"+*Q%=d9F/$\"+b0[vAF/$\"+Ug5)p#F/$\"+W/X/EF/$\"+$yR)o>F/
$\"+<9LA!*F[em$!+&zM))Q$F[em$!+h+f(R\"F/$!+](=>#>F/$!+sk53<F/$!+th%GD)
F[em$\"+Gu8XNF[em$\"+%z8#y7F/7;$!+;1#[<%F/$!+R;sPTF/$!+;6!=-%F/$!+2X*R
\"QF/$!+fNF&\\$F/$!+Qx#\\/$F/$!+,!HnW#F/$!+jGz'p\"F/$!+$*G1C\")F[em$\"
+nzJ(f\"F[em$\"+-hSQ6F/$\"+y(H$4?F/$\"+fovOEF/$\"+Y!>x)GF/$\"+I/:oEF/$
\"+dkwk>F/$\"+))p-*z)F[em$!+=!y\")e$F[em$!+9A(>V\"F/$!+7@$H,#F/$!+tl*)
*)=F/$!+61M$3\"F/$\"+I;GW5F[em$\"+$=a^;\"F/$\"+]>a&f\"F/7;$!+dc9BDF/$!
+NuMjCF/$!+T>R#G#F/$!+Fa]w>F/$!+&p(RU:F/$!+<O:;)*F[em$!+nx+iIF[em$\"+#
*3*3b%F[em$\"+NWK^7F/$\"+2#)p1?F/$\"+;87BEF/$\"+j&=2*HF/$\"+k/)y+$F/$
\"+b755EF/$\"+$z'y-=F/$\"+sV#=)oF[em$!+^&piF&F[em$!+@C,i:F/$!+u;wC@F/$
!+**)R*>?F/$!+jYJ\\7F/$!+^x!\\l'Ffem$\"+dlbp5F/$\"+2K`i;F/$\"+,_\"4U\"
F/7;$!+i'orK\"F[em$!+kiC1qFfem$FfimF[em$\"+C$Q\\>%F[em$\"+(pXQF)F[em$
\"+;O=<8F/$\"+Ez*H&=F/$\"+qT%GQ#F/$\"+G*4#QGF/$\"+F5!y8$F/$\"+LsC(>$F/
$\"+(e9d%HF/$\"+3:\\[BF/$\"+%Q)fJ9F/$\"+'[Wy+$F[em$!+z$4xb)F[em$!+\"RZ
>z\"F/$!+$)33hAF/$!+!3&))*4#F/$!+n!o]J\"F/$!+ZzVE8F[em$\"+mLXL5F/$\"+E
tR:<F/$\"+WbS+;F/$\"+2W!zC(F[em7;$\"+21Nu@F/$\"+(fHz@#F/$\"+t!=UM#F/$
\"+#Q$\\RDF/$\"+8@zzFF/$\"+&*Q&)HIF/$\"+7B\"GC$F/$\"+BZwhLF/$\"+h%*\\C
LF/$\"+@3[sIF/$\"+pcYkDF/$\"+@&eOz\"F/$\"+'Q=40)F[em$!+1v!o#HF[em$!+c:
^H8F/$!+;W,(4#F/$!+`!oqR#F/$!+xQ,5@F/$!+zt*QE\"F/$!+cVUbtFfem$\"+Ng7&3
\"F/$\"+waQ&y\"F/$\"+;>JE<F/$\"+05,y!*F[em$!+$Qp1+$F[em7;$\"+<(yH[$F/$
\"+Vmm\"\\$F/$\"+8#>C^$F/$\"+\"RM%HNF/$\"+c>(p^$F/$\"+i.ySMF/$\"+[F2hK
F/$\"+sQzPHF/$\"+\")QrQCF/$\"+f8F]<F/$\"+xap**))F[em$!+\\qIX#)Ffem$!+I
()ef5F/$!+FfM#*=F/$!+UYa7CF/$!+Mh\"RZ#F/$!+*H&H1?F/$!+(Q:!o5F/$\"+:UMw
7F[em$\"+3RVQ7F/$\"+eq$p)=F/$\"+Xs^3=F/$\"+P%44+\"F/$!+=fo#3#F[em$!+nv
O_7F/7;$\"+#p-x=$F/$\"+biffJF/$\"+d*H82$F/$\"+bZj6HF/$\"+9WsjEF/$\"+)G
h&3BF/$\"+[\"H)H=F/$\"+o$o1A\"F/$\"+NJ[<\\F[em$!+y5b0KF[em$!+D(o\"[6F/
$!+Tr&3*=F/$!+k=8DCF/$!+NOfDEF/$!+7Z)))R#F/$!+Cm3D<F/$!+zt`VpF[em$\"+-
CO'z%F[em$\"+A\"3))[\"F/$\"+)>SD,#F/$\"+vjYS=F/$\"+#[$eU**F[em$!+gMNx@
F[em$!+/2Xv7F/$!+RZ,l;F/7;$\"+%GGPP\"F/$\"+X&4QK\"F/$\"+)f.K<\"F/$\"+%
e\\5?*F[em$\"+')*e'RcF[em$\"+'=k34\"F[em$!+\"pXqI%F[em$!+E^#p-\"F/$!+L
L1K;F/$!+Zuxx@F/$!+#oD!yDF/$!+Yj]RFF/$!+F8#3e#F/$!+EjMf?F/$!+yEz+7F/$!
+$H_e@\"F[em$\"+&Qihp*F[em$\"+@r`/=F/$\"+m#*QF@F/$\"+a-%[z\"F/$\"+&G&[
(p)F[em$!+PkLHMF[em$!+k\">iO\"F/$!+%o1ut\"F/$!+6ak^7F/-%&STYLEG6#%%LIN
EG-%+AXESLABELSG6%%\"xG%\"yG%!G-%*AXESSTYLEG6#%$BOXG" 3 549 549 549 2 
0 1 0 2 1 0 2 2 1.000000 58.000000 70.000000 14010 14091 14086 14104 
14112 15010 15070 20510 0 17560 0 0 0 0 0 0 0 1 1 490 4969 0 0 0 0 0 
0 0 0 0 }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "33 3 \+
0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }