{VERSION 6 0 "IBM INTEL NT" "6.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 
0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }
{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 258 "" 0 1 0 0 
0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 1 1 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 }
{CSTYLE "" -1 261 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
262 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 263 "" 0 1 0 0 
0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 0 1 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 266 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
267 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 }{CSTYLE "" -1 268 "" 0 1 0 0 
0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 269 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 0 }{CSTYLE "" -1 270 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 271 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
272 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 273 "" 0 1 0 0 
0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 274 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 275 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 276 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
277 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 278 "" 0 1 0 0 
0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 279 "" 0 1 0 0 0 0 0 1 0 0 0 0 
0 0 0 0 }{CSTYLE "" -1 280 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 281 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 
282 "" 1 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 
{CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 
0 1 0 1 0 2 2 0 1 }{PSTYLE "Error" -1 8 1 {CSTYLE "" -1 -1 "Courier" 
1 10 255 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }
{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 
2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Outpu
t" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }
1 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Author" 0 19 1 {CSTYLE "" -1 -1 
"" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 8 8 0 0 0 0 0 0 -1 0 }
{PSTYLE "Title" -1 256 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 1 
2 2 2 1 1 1 1 }1 1 0 0 12 12 1 0 1 0 2 2 19 1 }{PSTYLE "Title" -1 257 
1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 1 2 2 2 1 1 1 1 }3 1 0 0 
12 12 1 0 1 0 2 2 19 1 }{PSTYLE "" 256 258 1 {CSTYLE "" -1 -1 "" 0 1 
0 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 }{PSTYLE 
"" 0 259 1 {CSTYLE "" -1 -1 "" 0 1 0 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 {PARA 259 "" 0 "" {METAFILE 794 73 73 1 "iXmGh`B:vcZ>y<>w=Z:nc
pG:MZ=NxLG:nvLG::At=;K`k^v\\=Z:FCZ:>?v\\=j^>Z:F:k:;J>QT;J:::vyyyyy=:::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::<:ry:::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::Z::xI::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::B:
Zy=:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::<:ry:::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::Z::xI::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::B:Zy=:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::<:ry:::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::Z::xI::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::B:Zy=:::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::<:ry::vtQqt
CIsCIS::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::XweUwyyyyyI:::B:Zy=:XGry::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::vTjy;::B:Zy=je;yA::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::ZQ=xI::B:Zy=XGry:::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::fpohpyyyyyY:::::::::::::::::
:::::::::::je;yA:Z::xIRlMXlyyyyyy:::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::Nr<QrXquXyyyyyy=::::::::::::
:::::::::::::::j^;yA:Z::xIRlZy=:::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::xuYyuyyyy;::::::::::::::::::::
:::::::j^;yA:Z::xIRlZy=:::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::jVauVaEyyyDFyyyyyyfPjy;m_slycjZymT;yAfPjy;RgZy=`Em_yM[;yao<xI
:e?vY:PEry:ZslVsyNRjySgfPxIyao<xIRgZy=:`wfaWXmUXUUUUuXquXIwcIwyyyyyIm@
::fPPEyaymT;yAfPjy;::::M@vY::<:ryZC=xI::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::rhqwhCIsCYxmYxixoiXgeWgryfPjysh::ZymT;yAfPjy;R
gZymW;::yao<xI:e?vYJ^]V^QuTQu_iv_yyywYjW;:ryvYPEe_ymySgZy=PEry:^tNatoh
po\\y=TWeUwyyiN=jy;g@fPPEyaymT;yAfPjy;::::M@vY::<:ryZC=xI:::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::rgiwg]Yv]yyyyygiwgYgeWgryfP
jysg:nX:xIe?vYjT;yAZo<xIi?Zp=jySgZy=jT;yAfP:jy;i?Zp=jy;:RgZy=PEry:VQxy
ywY::hEry::::fPjy;e?vY::::j^;yA:Z::xIRlZy=::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::XgQ]VauVav^avohPyaymT;yaQ=lG:yaymT;yAfPjy;
RgZyme;s@ZymySgZy=jT;yaOitOAsBAsyyyyYsEYsQytQyyyyyymeSg^U:xIyA:Zo<xIRg
Zy=JUUUUyuYyuY;:yqyUEri:Zyuy::e?vYjT;yA::::FSjy;:B:Zy=`Fry::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::ZWiuWqtPqtohPryfPjy;Rq:Zy
mT;yAfPjy;RgZy=jh;:yao<xI:e?vYXEyyyxIBhkGhyyyxI:u@:vY::PEryZo<xI:;Hj;h
uWiuyyyxIeYweYhmWhBj:vYPI:yA:fPjy;e?vY::::j^;yA:Z::xIRlZy=::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::puXquyyyyyIe?vY::pEryfP@
wbAwyyiymTCmSHmyyyyyyfU<VZ=vyyiy=:jX;yaol`qv`yyywYhwgiWZ=VZkyshZy=pEry
::fQjy;:RgvYxIRgVSxIyAfUPuTQUxmYxyyyGUlV`mFpG:Rp:vY:jTsyvYjTslZy=:::j^
;yA:Z::xIRlZy=::::::::::::::::::::`FWf]Uf]WV]ryyqy;::::::M@nKjysy:::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::fQPuTwqyxQxIjTsyvYjX;y?xIJ[;oghowgiwgryNRPuTQUXmUXy
yywY:pErijy;DFya=Yr=ipohpwhqwxYxICHkCHpkHpyyyxIBqsHqCHkCxyyyyyawlTsijy
;:JVSgeOV]UV]EohpoXgeWgyaw<jycoVquXqsHqs@sBASvYJe;:ry:ZrlTCh>QdGryfQ:x
I:::M`ymy;:B:Zy=`Fry::::::::::::::::::::ZqdgWdMWdMZyyYyA::::::vPJa:yay
=:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::jT;yA:::::::::::::::::::::::::Zplyyiy=:::::
::::::JU;yA::::::FSjy;:B:Zy=`Fry::::::::::::::::::::Zq<t>ryvY::::::jU;
W<vYxI::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::e?vY::::::::::::::::::::::::::@vZAvyy
iy=:::::::::::jZ;yA::::::FSjy;:B:Zy=`Fry::::::::::::::::::::Zq<t>ryvY:
:::::jU;W<vYxI::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::e?vY:::::::::::::::::::::::::
:jYwqohPmWhxIyA::::::::::Zytie?Zy=::::j^;yA:Z::xIRlZy=::::::::::::::::
::::XEbMZymy;::::::i?nCjysy:::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::FSjy;:B:Zy=`Fry::::::::::::::::::::Zq
<t>ryvY::::::jU;W<vYxI::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::M@vY::<:ryZC=xI::::::::::::::::::::rgZH;xI
yA::::::vPJa:yay=:::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::j^;yA:Z::xIRlZy=::::::::::::::::::::XEbMZymy;i_H
pkG@nZxmCISry:::vPt>W<vYxIrgnKtBMXlM@yA::::::::::::::vPJA;M@vY:::jeotZ
@nYpkHhkHl^;yA:vPXuUUueYWeyIyA::::::::::::FS<TJyCtB;_Cmysy::::::::::::
::::::::::::::::::::FSXuUUUAc]vpqppyyYyA::::::::::::::::::::ZCMJc]nK<D
M`ymy;::::::::::::::rgnKtBrgvYxI::::::::::::::::i`ZLAc]FSjy;:i_qlesyvY
::::::::::::j^CbZHLJSlvYxI::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::M@vY::<:ryZC=xI::::::::Bb;waWdMWdMZHpkGxYxI:::::bMWLa:WUUUuyyqysgn
Ct>ry>NJa::W]CISry::vPJa:yaZ<t>:bU:vY::jU;W<vYxI:rgZH;xIyA::nkHdMWdMW<
:Zh;jy;:b]ZH;:t@yaym^cMWdMW<nGjy;:;?nC:jUYUUyIi_HKa:yay=::j^cUUUUWdMt>
::W]Cmysy:::nCt>ryvY:::t>W<vYxI::::::bUUUUW\\H;:::JqBb;oyyyy;::::jec]W
>t>::W^ymy;::W\\H;XEyay=::t>W<vPjy;::W\\H;XEry::ZCMqbMnC::t@M`ymy;::W
\\H;XEry::ZHKa:yay=::tBW\\H;::t@yay=::JJcMnC:jU;yAnGt>W\\Hlysy:::Zh;t>
:bUvYxIM`HKa:W=vY:<DbM:Zq<xIi_HKa:yay=::j^cUnCt>::W]Cmysy::ZHKa:yay=::
JabMZymy;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::b??gyQcdwyyyqy;:::b?:vY:::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::j^;yA:Z::xI
RlZy=::::::::XGWdMt>bUvYxI:::::i@nCJA;yaq<t>rgZH;::j^av^ky;:i?nCjU;W<:
:ZC=xI::i?nCjysy:Zq<t>ryvY::t@W\\H;:::`Fry:nGJa:::W]y=t>W<nGxIyAZQ=t>:
:i_ymUcMnCjysy::ZZ<t>::::;GbyvyxI::JabMZymy;::bMnCjysy::::::ZhKabM::::
:ZZ<yA::::W=nC:::t@yay=:JabMZqlysy::ZHKa:i?vY::JabMZq<xI::;_HKa::::Bbv
YyA::W\\H;XEry::ZHKa:yay=:JqbMnC::::`Fry:ZQ=t>::i?vYJq:W\\H<xI:::W=nC:
:JqryZHKa:W]ymy;i@nC::XEryvPt>W<vYxI::BbnCt>::::;_yuy::bMnCjysy:::nCt>
ryvY::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::T;:yA:::ZP:jy;::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::M@vY::<:ryZC=xI:::::::::
W]HKa:yay=::::JJcMnCjUsyvYXEW\\H;:tBM`qLJ=DnCJqryvY:jUcMnC:JAsgvP<DbMZ
h;xI::i_HKa:yay=:XEbMZymy;:W^HKa:W]qxPi_ZLqp`HKa:yay=`FW\\H;t@;_qxPbUn
CtBbMZql^afymy;BbnCt>bUngggGFSjUcMnCjysy::ZHKa:b]vPXEW^HKa:roihoyay=:J
abMZymy;::bMnCjysy::::::ZhKabM::::::>Nxiy=::ZH<t>b]vPXE;_HKa:W^ymy;:W
\\H;XEyay=::t>W<vPjy;::W\\H;XEry::nCt>:W^qlUCbZH;je;yA:nCt>rgvYxI::bMn
Cjysy:ZHLabMZHlUsgZHLabM:vYxI:BbZH;t@W=FSjy;W]HKab]vYxI::RlnCt>bU>NXE;
_hKab]nCt>rgFSxIyA>Nt>W<nGt@RlZymUcMnCjysy::ZHKa:b]vPXE;?nC:XGry:ZHKa:
yay=::JabMZymy;:::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::b?:vY::::T;:yA::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::FSjy;:B:Zy=XGr
y:::::::::nKt>W<FSjy;::::W]HKa:yay=XEW\\H;JJsyxI:`FW\\H;<DvY:vPJa:Bbjy
;j^;W<>Nry::i?nCjysy:Zq<t>ryvY:XGW\\H;<DvY:Zh;t>;?xI<DW\\H;xIyA:nKJa:W
]ymy;:BbZHKq:yA:vPJa:yay=:JA;W<vYxI::W]HKab]vYxI::W\\H;xIyA::ZHKa:yay=
::::::t@bMnKjy;:ronKt>W<Zqlysy::ZHKa:M`ymy;RlnCt>rovYxI:W\\H;XEry::ZHK
a:i?vY::JabMZq<xI:b]ZH;xIyA:Zh;t>W^ymy;:W\\H;XEry::ZHKa:yay=:t>W<>Nxiy
=:ZHKa:;?xI:<DW\\HKqryvY::JqbMnCtBry::ZHLabMZymy;:W>nCJqryvY:JJ;W\\h;x
I::i_HKa:yay=:JA;W<vYxI::W]HKab]vYxI:bMnCjysy:::nCt>ryvY::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::T;:yA:::ZP:jy;::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::i@vY::<:ry:vTjy;::::::::i?nCJJsyxI::::JabM
ZhkysyZq<t>bUZy=:JJcMnCt@ry:vPJa:W=vY::<DbMnGjy;:i?nCjysy:Zq<t>ryvY:<D
bMZymy;:rgZHKq:yaHLabMnKxIyA:ZhKabMnGxIyA:ZZ<t>W=vY:jU;W<vYxI::W\\H;XE
yay=:jUcMnCjysy::nCt>ryvY:::t>W<vYxI::::::bUnCt>W>vY:::Jq:W<vYxI::;?nC
tBry::nKt>W\\ZlywY:nCt>rgvYxI::bMnCjU;yA::nCt>rgZy=:t>W<vPjy;:rgnCt>ry
vY:JabMZqlysy::ZHKa:yay=jecMnCjysy::ZZLabMnGxIyAZZ<t>W=vY::JqbMnCtByay
=::tBW\\HKAsyvY::t@bMnGxIyA:>NJabUZy=:jUcMnCjysy::nCt>rgvYxI::i_HKa:ya
y=:t>W<vYxI:::W\\H;xIyA:::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::ZP:jy;:::b?:vY::::
:::::::::::::::::::::::::::::::::::::::::::::::Tw\\eTeQVOMvQeReQfPmyyi
y=:::::::::::::XGyqyyI::B:Zy=:XGry::::::::ZHKa:W=vY::::`FbMZZlywYZq<t>
Bbjy;:jecMnCjysy:vPJa:;?xI::JabMZymy;:i?nCjysy:Zq<t>ryvY:t@W\\Hkysy:::
nCt>ryvYt@bM>Nry::b]nCt>W]ymy;:BbnCt>W=vY:jU;W<vYxI:rgZH;xIyA::ZHKa:i_
ymy;:W\\H;xIyA::ZHKa:yay=::::::t@W\\HKAsyvY:::je;W<>Nxiy=:nGJargZy=:jU
cMnCtBry:nCt>rgvYxI::bMnCjU;yA::nCt>rgZy=jUcMnCjysy:::nCt>rgvYxI:W\\H;
XEry::ZHKa:yay=jUcMnCt@yay=::XEbMZymy;BbnCt>W=vY::JqbMnCtBry::Zh;t>;_y
uy::b]nCt>W]ymy;:;_HKabUZy=:jU;W<vYxI:rgZH;xIyA::ZHKa:i_ymy;bMnCjysy::
:nCt>ryvY:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::T;:yA:::ZP:jy;:::::::::::::::::
:::::::::::::::::::::::::::::::::RcEVKCVPEB[:^vSyryyYyA::::::::::::vTx
IyA::Z::xI::i`Cm^;:roTweYG:Zymy;:bUnCt>ryvY::::<DbMZQ=xIrgnCt>rgvYxI::
bUZHkU;yAvPt>W<vPxIyA::nGJargZy=jUcMnCjysy:Zq<t>ryvY:t>W<vYxI:::W\\H;`
Fyah;t>;_yuy::BbnCt>W]ymy;:BbZHKq:yA:vPJa:yay=:tBbMnKxIyA::ZHLabMnKxIy
A:nCt>ryvY:::t>W<vYxI::::::bUnCt>W>vY::::tBW\\HKqryvY:JqbMnCXGry::vPJa
bUvYxI:W\\H;XEyay=::t>W<vPjy;::W\\H;XEry:nKJab]vYxI:::W^HKab]vYxI:W\\H
;XEry::ZHKa:yay=j^CbnK<Dyqy;::XEW\\H;xIyAZZLabMnGjy;::W]HKab]vYxI::bUZ
HKJsyxI::<DW\\HKqryvY:JJ;W\\h;xI::i?nCjysy:ZHLabMnKxIyA::ZHLabMnKxIyAZ
HKa:yay=::JabMZymy;:rovT::j^Sl::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::v_`hxPNnximx`tCIsCIS:::x
qVuWEDTyEmMQy^av^UKKuYMPtvav^aVdxtoqkKiyLPtvAoQmXTMVaav^GS:T;ZCaD::j^;
b?:`F::JNAvbmnPqXKLTwmKKiyU\\tsArVqw^Sl:n<:M@:bBCgxgbbwYlMp^;:uficxGKw
veRbuIIOgvMXlMXMUWuUTeUYlMp^;gZ`:M@::Bd:^=j:;M@::^riPkqxpp`riPKFS`Fi_>
=`FBk:ZCm^;i_ZL\\yT?k^;C@ZCIsCISPt<Q>LB:iwgggoEhdWf]UFkYg\\i_Cm^sgvPLF
:RlFS:XEC`>yoDpkH<i_Cm^;rovYyyy:::Z::xI:::::::::::BbnCt>roZy=:::t@W\\H
KqryvY:`FW\\H;xiyyY:::t@W\\HKJsyxIj^;W<vYxI:::W=nC<DvY:FSJa:yay=:`FbMZ
ymy;bMnCjysy:::nKtppnGXweUG<DW\\HKqryvY::<DbMnGjy;:BbZHKq:yA:FSJa:yay=
:t@W\\HKJsyxI:::<DW\\HKqryvY:JabMZymy;::bMnCjysy::::::ZhKabMnkHtyvY:::
:`FbMZymy;:W\\H;xIyA::ZZLJ=DvYyA:W\\H;`FyqyyI::bMnCj^;yA::nCt>RlZy=Jq:
W\\Z<yA:::;_HKabUvYxI:W\\H;`Fry::ZHKa:yay=::::::tBW\\HKq:yAZZ<t>W=vY::
JqbMnC<Dyqy;::<DW\\HKqryvY::<DbMnGjy;:;?nCt@ry::FSt>W<vYxI:bUnCt>;_yuy
:::BbnCt>W]ymy;bMnCjysy:::nCt>ryvY::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::TP`yiSxYSxy:ryxy_QxyMXl
MxY]wyUpyyy_Sv]YvmFmyifEyy;R`<JmxyyyyykyhVyUKKwjIqyyyYyA::ZUgqxq\\\\d[
WhyyyyT;Q[eNOgbb`kKuYEDdPNNryyqy;b?V?h<gZS:T;ryvY:T;Q[ymy;:riEiygbbT;R
@ZPJtXVyyyywYJErDZy=:TLNuYEDdymy;bmQiygZPjJTTyUKKW?PNTuYEDdymy;gZejysy
::vQJE:m:n<LAry::fNJ<;Ca_YvYajSgZ>lLQr\\PxkyWeQf>He?^JjLsyyyyyaP=LBRcf
NLBC>ZPirdxYPDB[:^riPk>HEC>fNLHya^IuAin?hb>L<;E_ymy;CxePt<QN<C[:fNLFyy
yxI:::::B:Zy=:::::::::::JancH;tBMXlXE:Rl:ZHKa:W^ymy;RlZH;xIyA::ZHLabM>
Nxiy=FSJa:yay=::JA;W\\Z<yA:M@nCjysy:ZC=t>ryvY:t>W<vYxI:::::RlZH;xIyA:Z
ZLabMnGjy;:BbZHKq:yA:FSJa:yay=:t@W\\Hk^syvY:::`FW\\HKqryvY:JabMZymy;::
bMnCjysy::::::ZhKabMnKxIyA::::nCt>RlvYxI:W\\H;xIyA::::::nCt>RlZy=::t>W
<FSjy;::W\\H;`Fry:nGJaRlZy=::j^cMnCt@yay=JabMZCmysy::ZHKa:yay=:::::JJ;
W<nKjy;BbZHKq:yA::nGt>W\\ZlywY::ZCMabMZQ=xI:BbnCt>W]ymy;:;?nCt@ry::FSJ
a:yay=:t@W\\Hk^syvY:::JabMnGxIyAZHKa:yay=::JabMZymy;::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::B:S`F=
jFS`Bmyyy`S`yY:B:GuymvyyyFSxyGuy<:vyEQxlyyyyyym\\]XyU;ITgwyyyqy;::r??g
ygZKawxyYT;g:voYqyymtiYyU;gZbFoxyyyuyZPJE:Y?fXJEBDZy=T;Q;vY::T;gZMXtxy
YxIOWqwi?n<`ukuyysyn<h<ry:Z`byryvY:PLNuYERbmhyyaGYwx]P:xIyAn<h<ry::n<T
;a>vYdDb?FQjy;:CVPEB[:^VTw\\eT<gZ><LHCxeOF[^JjLsyvYPDC^><:::TgdxY:LB::
:RcvYxIC^><jL;ya>=LB:::g@vY:::::<J:Zy=:::::::::::JqbMnC::::::jUsyxyy;R
lnCt>ryvY:::<DbM>Nxiy=FSJa:yay=::JJcMnC<Dyqy;j^;W<vYxI:RlZH;xIyAZHKa:y
ay=:::::Jq:W<>Nry:BbnCt>WUUxIyA:ZZ<t>W=vY:j^;W<vYxI:bUnCt>M`yuyyA::ZCM
abMnGxIyA:nCt>ryvY:::t>W<vYxI::::::bUnCt>W>vY::::Jq:W\\ZlywY:nCt>ryvY:
:::::JabMZCmysy::ZHKa:M@vY::JabMZC=xI:W=nC`Fry:::FSt>W\\hkysy:nCt>RlvY
xI::bMnCjysy::::ZCMAcMnC:jysy:ZZLabMnGjy;::W]HKaBbvYyA:::W=nCJJ[y=ZZLa
bMnGxIyA:>NJabUZy=:j^cMnCjysy:ZhKabMFSxIyA:::nCt>W]ymy;bMnCjysy:::nCt>
ryvY::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::J:lFS`SD:S@FM::TP`UP`yIryGEmxiy=Z]vnxq<@yvuyysy::fq^q
yPjSpTyyIyaPJEbakhyyyyxI:GTgwi?vmRqyymyc?n<tCry:nBjI;yaPjO:yA:>kIqyPNN
iUlwyyvY:lrbuYEDdQ_qxyYxIgZe:xI:bCZymy;wFpwi?veypyymy;yFpwi?n<xIyAn<h<
ry:ZB<XAry:^Kje:yA:^JLB:Ca>=LBbonTLBC>fNJlC[mT;C>Z_lLC[^J:TGya_<LB:C@^
J:PDya^=LB:E?vYLBC>Z_lLC[^J:xIyA::::Z:>:ry::::::::::::nKJa:::::::yay=:
`FW\\H;xIyA::ZZ<t>W=vYj^;W<vYxI:::;?nCt@ry:FSJa:yay=:`FbMZymy;bMnCjysy
::::::ZhKabMZhKJsyxI<DW\\HKqryvY::<DbMnGjy;:M@nCjysy:ZHKa:M`ymy;::RlnC
t>ryvY:JabMZymy;::bMnCjysy::::::ZhKabMnKxIyA::::nKt>W\\Hlysy:nCt>RlFS:
:::XGry:nCt>RlvYxI::bMnCj^;yA::nCt>RlZy=JabMZC=xI:::M`HKa:yay=JabMZCmy
sy::ZHKa:yay=:::<DW=nC:JqryvY::<DW\\HKq:yA::nGt>W\\ZlywY:::Zh;t>bU>Nry
BbnCt>W]ymy;:;?nCt@ry::FSt>W<vYxI:bMnCj^syvY:::JabMZymy;bMnCjysy:::nCt
>ryvY:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::Jmxi:FmyEm^S`Cm>:nF;R`Bm;R`yyFSpFyiEQxyyYyAbTAhygZk@
vxyyyuy::FiCqyPNNyulwyyyqyc?n<dyxuyysy:^p[qyPJflUyyIyaPJEbxZy=JT;k<vYT
;Q;vY:J^TUyU;mHvwyyvY:JOclOiyyayMErDZy=:T<ryvYJehUyU;yWswyyvYJvmYyUKKo
<xIyAn<h<ry:ZB;`Gry:Zd<jy;:C^><JlCkZ><TGCP?K<;E_yMlC[PJ<;BsnTLBC>ZPmyS
c^JLB:WYuMYcE>LB:yayM<C[:fNxICa>L<;bo^vSyR^J:TGyay=::::<J:Zy=:::::::::
::j^cMnCJqbU:::nCt>bUvYxI:RlZH;xIyA::ZZ\\HcMnGjy;M@nCjysy:::>NJabUZy=j
^;W<vYxI:RlZH;xIyAZHKa:yay=::::::JJcUnCt>:;_HLabMnGxIyA:ZZLabMnGjy;:M@
nCjysy:ZHKa:M`yuyyA::ZCMabMZymy;:W\\H;xIyA::ZHKa:yay=::::::t@W\\HKAsyv
Y::::JJ;W\\hkysy:nCt>:::::bUZy=JabMZCmysy::ZHKa:M@vY::JabMZC=xI:W\\H;`
Fry:::FSt>W<vYxI:W\\H;`Fyay=::t>W<vYxI::b]nCt>::W]ZlywY::ZZLabMnGxIyA:
:nGt>W\\ZlywY::::>Nt@bM:>NtBbMnGxIyA:>Nt>W\\h;xI::M`HKa:yay=:t>W<FSxIy
A:::nCt>ryvY:t>W<vYxI:::W\\H;xIyA:::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::ZlhVlf`_S;Bm<:`sy=jF;:bSy
AbSyqSryxI:<uiuYERVGhyyyyxI::ecewi??O_aXyyIyaPjZHUyyIyA:nwrqyPJRlTyyIy
aPjZ:yA:nWJR:yaPjOjywY:jLbAEgyyay=:::JE:ry:Z`:xIyAV_dpyPjseYyyIyAZvFpx
q<xIyAn<h<yay=:P<:yA:::::^JLB:Ca_L<C[Z>MeC[^JjLsy^VLb?^J:LHg@^J:TGya_L
<C[Z_llScEN<C[:vYLHC^><jLsynTLBC>ZPMl;C>ZPmysy::::Z::xI::::::::::::bMn
CJJsyxI::JabMZZ<yA:RlnCt>ryvY:::<DW\\HKq:yAFSJa:yay=::JJ;W\\h;xI:M@nCj
ysy:ZC=t>ryvY:t>W<vYxI::::::::b]ZH;:Jq:yA:ZZ<t>W=vY:j^;W<vYxI:bMnCj^sy
vY:::`FW\\H;xIyA:nCt>ryvY:::t>W<vYxI::::::bUnCt>W^ymy;::::;?nCt@yay=Ja
bM:::::Zh;xI:W\\H;`Fyay=::t>W<FSjy;::W\\H;`Fry:nCt>RlZy=::j^cMnCjysy:n
Ct>RlvYxI::bMnCjysy::nGt>W<:nG`Fry:::ZZ<t>W]ymy;::W]HKaBbvYyA:::::b]nC
t>::W]ymy;:;_HKabUZy=:j^cMnCjysy:ZHKa:M`ymy;:::W\\H;xIyAZHKa:yay=::Jab
MZymy;::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::mvy<J`syyI:mvylFm^S<Jm>::jFsyyA:JEb?:::Ze:xIb?>dspy
ymy;:b?n]_<yaPJb:yA:ZPJI:yaPjO:yA:n<T;ECdwYCK?::jysyn<h<ry:Z`:xIyAf]^p
yRVnx]y=:dnUuYE:yAn<h<ry:ZPJERCf>:::xIyA:^JLB:g`_hJC^><PDC`>L<;E_yMl[?
^J:TGg`>L<;bovYPDC^><Jo]xlQt<[><jysy^JLB:E_yMeC[^J:LHEa>HEC>ZPmysy::::
Z:>:vyy=::::::::::::tBbMnGjy;:RlnCt>rojyyI:RlZH;xIyA::ZZ<t>W=vYj^;W<vY
xI:::;?nCt@ry:FSJa:yay=:`FbMZymy;bMnCjysy:::::::::ZqLqpppt>W<nGxIyA:ZZ
<t>W=vY:j^;W<vYxI:bMnCj^syvY:::`FW\\H;xIyA:nCt>ryvY:::t>W<vYxI::::::bU
nCt>W^ymy;::::;?nCjysy:nCt>Bb>N::Jq:W\\H<xI:W\\H;`Fyay=::t>W<FSjy;::W
\\H;`Fry:nCt>RlZy=::j^cMnCjysy:nCt>RlvYxI::bMnCjysy:ZHLabMZhKJsyxI::::
:<DW\\HKqryvY::JqbMnC<Dyqy;::::::XE:W<nGxIyA:>Nt>W\\h;xI::M`HKa:yay=:t
>W<FSxIyA:::nCt>ryvY:t>W<vYxI:::W\\H;xIyA:::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::>ZFM`S`yQ`;m>:Z
`C:J`Upysy:JddUyU;g:::Zp?sxyYxIb?^cqpyymy;:B@AgysBcwyyyqyc?:vY::\\;:ya
PjN`Tyky;:yRcwi?n<:::<LMuyysyn<h<ry:Z`:xIyA^]^pySVNyay=:HNTuYE:yAn<`<r
y:ZY:T;:::;;vY:J<C[:nTPDC^><PDC@^JjLsyvYPDC^><PDC@^J:TGyA^JLB:WYu:LB:y
a^M<gZ><jLsynTLBC>ZPMuMyrUw\\eTe;ryvY:::::<J:Zy=::::::::::::XEWdMt>ryv
Y::<DtNat>W=vY::`FW\\H;xIyA::ZHT]bMnKxIyAFSJa:yay=::JAcMnCtByay=j^;W<v
YxI:RlZH;xIyAZHoCW<vYxI::::::::::BbZHKq:yA:ZZ<t>W=vY:j^;W<vYxI:bUnCt>;
_yuy:::BbnCt>W]ymy;:W\\H;xIyA::ZHKa:yay=::::::t@W\\HKA;yA::::>NJa:yay=
JabMZuYytIyryxsAyq=:>nZxMnC<Dyqy;JabMZCmysy::ZHKa:M@vY::JabMZC=xI:W=nC
<DvY:::>Nt>W\\hkysy:nCt>RlZy=::t>W<vYxI:bMnCJq:yA:::::ZZ<t>W=vY::JqbMn
C<Dyqy;:::::::<DW\\HKqryvY:JJ;W\\h;xI::M`HKa:yay=:t@W\\HKJsyxI:::<DW\\
HKqryvY:t>W<vYxI:::W\\H;xIyA::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::^symyGM<J`CmFmyU`::nfy=:mnyyy
y;JGUWyU;eVowivmiy_Yx:<oVo<@VmuyysyZPJW<UyyIyA:VxtqyPjO:yaPJW:yA:VXjO:
yaPjEDTyyIyA:f`h<YIxwyyvY:pYyuYEBGWgyyayMEbAZy=:P<gZymy;Ocdwi?nxuqyymy
;rFUgygZymy;gZQ:xI:RGZi=xI:uA^@jy;:C^><J\\;C>Z_L\\;C>fNxIyAfNLBC>::ZP=
:LB:OAZ><jysy^JLB:E_yMeC[^J:jLSc:Z^mysy::::Z:>:ry:::::::::::::nCt>roZy
=:t@W\\HKA;yA:ZC=t>RlvYxI::bUZHKJsyxIj^cMnCjysy:::nGJaBbjy;j^;W<vYxI:R
lZH;xIyAZh;t>yay=::JqbUZymy;::::RlZHKqp@vY::<DW\\HKq:yA:FSJa:yay=:tRAo
Ct>W^ymy;::b]nCt>W^ymy;:W\\H;xIyA::ZHKa:yay=::::::t@W\\HKA;yA::::>NJa:
yay=Jq:W\\giwgAypaxtQysQytIYZsAyq=nC<Dyqy;JabMZCmysy::ZHKa:M@vY::JabMZ
C=xI:W^HKab]vYxI:::W^HKab]vYxI:W\\H;`Fry::ZHKa:yay=:t>W<vYxI::::::BbnC
t>W]ymy;::W]HKabUvYxI:::::::RlnCt>W=vY:JJ;W\\h;xI::M@nCjysy:ZHLabMnKxI
yA::ZHLabMnKxIyAZHKa:yay=::JabMZymy;::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::mFmxiyImyE:S@<J`;m>:Z
`K`W`FyYxI::T;YDhwyyvYJsaYyU;AscwyyvY:T;gZbixxyYxI:Cxswi?fdupyymyc?n<
\\Hry:^Rjd:yaPJEbp[iyyay=jhtUyU;?hswyyvY:LwpuYEbPugyyayMEb?Nvmqyymy;B@
V]^pyymy;]Thwi?Fscqyymy;Miwwi?n<xIyAn<T;o@vY:p?bjZy=Jd;o<vY:J<C[:fNLBC
>:fNJ<;E_ymy;BsXV\\;C>:ZPmySc^JLB:Ea_hJB[:vYLHCn<LB:E_yMeC[^J::::TGyay
=::::<J:Zy=::::::::::::JqbMtNaBbvYyA:bMnCjUsyvY::`FbMZZ<yA::bMnCj^syxy
y;M`HKa:;?xI::JabMZCmysy:FSt>W<vYxI:RlZH;xIyAZh;t>yay=::JabMZymy;W=nCx
IyA:ZC=t>W]ymy;:BbnCt>W=vY:j^;W<vYxI:BbZHKq:yA::ZhKabM>Nxiy=:nCt>Bbjy;
::t>W<vYxI::::::bUZHKAuBvY::::JJcMnCjysy:nKt>W\\Cmv]iwayvyYxImIxiYxngg
gGnC<Dyqy;JabMZq<xI::bMnCJJ[y=::nCt>RlvYxI:;_HKabUvYxI:::W]HKaBbvYyA:W
\\H;<DvY::ZHKa:yay=:t>W<vYxI::bUnGje;yAZZLabMnGxIyA::nGt>W<vYxI:::W=nC
xIyA:ZCMabMnGxIyA:>NJabUZy=:j^;W<vYxI:BbZHKq:yA::ZhKabM>Nxiy=ZHKa:yay=
::JabMZymy;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::BmryHM`?ZFE::R`yqF;:G]SlFmvy;yqy;:xMSuYEbvmiyya
ymOqWyU;YUkwyyvY:T;gZrGsxyYxI:QEkwi?nMxIyaPJEBXZy=jo:w>vYT;gZM<xI:;Wpw
i?vEjy;RYQhygbbdSeuyysyn<T;[fnwyyvYjduXyU;WsdwyyvYjDMWyU;aukwyyvYJ?=Wy
UKKo<xIyAn<T;a>vY:<DrQZy=jx:o>vY:J<C[:fNLBC>:fNJ<;E_yMlwr_lL;bofNLBC>Z
PmyScZ><PDOA^JLB:yayM<C[:fNxIg`>L<;RcfNLBC>ZPmysy::::Z::xI::::::::::::
:;Gbt>W\\hkysy:FSJa:yay=::`FbMZh;xI::;?nCjysy:FSJa:W=vY::<DbMZymy;:M@n
Cjysy:ZC=t>ryvY:<DbMnGjy;:rgnCt>W=vYJqbMnCxIyA:ZC=t>W]ymy;:BbZHKq:yA:F
SJa:yay=:JabMZQ=xI::i`HKa:i`ymy;:W\\H;tByay=::t>W<vYxI::::::bUnCt>W>vY
::::JJ;W<vYxI:i?nCtBoixmAyyypYxmYvUYtKqp@nCXGry:nCt>b]vYxI::bMnCJA;yA:
:nCt>RlvYxI:i`HKa:i`ymy;::W\\H;XGry:nCt>b]Zy=::t>W<vYxI:bMnCjysy::ZHKa
:i@vY:<DbMnGxIyA::nGt>W<nKjy;::W=nCxIyA:ZCMabMnGxIyA:>NJabUZy=:j^;W<vY
xI:ronCt>rovYxI::bMnCje;yAZHKa:W>vY::JabMZymy;::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::a[`Km`sy_sy
myGM::T@:Zyuy::R[WhygZehuxyYxIEUjwi?Nq]qyymy;b?n<jKeWyyIyaZHURACgyyay=
T;g:VNjyCbZW:xIb?n<j;qVymrbuY@AgyyYya[nnx]CxsxYywqyymIaWykFryvYJEb?Z`X
uxAxsqyYQxxq<T;?EjwyyvY:T;gZm@vxyYxEgZP:xIyAn<T;rZZFlysyF>j>;raZS:xI::
C^><:::::jLsy^VLb?^J:LHg`>L<;bovYPDC^><JqqHZ><jyCs^JLB:E_yMeC[^J:TGgPO
MBC>ZPmysy::::Z::xI:::::::::::::M@nCjysy:>nZLatNabUZy=::`FbM:vPxIyA:nC
t>b]Zy=j^;W<Zq<xI:bUnCt>W>vY:j^;W<vYxI:RlZH;xIyA:nCt>BbvYyA:bUZHKJ[y=>
Nt>W\\q<xI:b]nCt>W^ymy;:BbZHKqryvY:j^;W<vYxI::W]HKabUvYxI::W]HKabUvYxI
::W\\H;JJsyxI:JJcMnCjysy::::::ZhKabMnKjy;::::W=nCjysy:ZHKa:UasAyqAypax
rqxnQYXuUoCt>ryvY:JabM:>Nxiy=:>Nt>W<ZZlywY:ZZLabMZymy;:bUZHKqryvY::t@W
\\HKqryvY:JabM:>Nxiy=:>Nt>W<vYxI:bMnCJJsyxI:jU;W<vYxI:BbnCt>W=vY::JqbM
nC:<Dyqy;:JJcMnCXEyay=:tBW\\HKAsyvY:JJ;W\\hkysy::FSJa:yay=:JqbMnCt@yay
=:JqbMnCt@yay=:t>W<ZZlywY:ZZLabMZymy;:::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::rFryH=lf:^SjFyiS<:Jm>
::SH:vyyyY:ZEQwxq<PpZuyysyv=wIACoysy:ZPjabH[OErDf^b<gZm<xIb?vC:h<:gZm<
xIb?fDpmRuYEb?NcppyymycmZP::J]]XyyIyAn<P?KdgwAg::Ntgqyymy;rcqhyb?v^bpy
PjX@e`>ox]ymy;gZOkXb?n<d>rynSJE::bkZy=:J<C[::Z_L<C[::fNxICAPJ<;BsnTLBC
>ZPmySc^JLB:WYu:LB:yayM<C[:fNxICa>L<;BsnTLBC>Z^mysy::::Z::xI::::::::::
:::bMnCj^syvYJqbMnC<Dyqy;::XEW\\H;:<DvYvPt@bMZQ=xI:i_HKa::;?xIXEW=nCjy
sy::FSt>W<vYxI:RlZH;xIyA:nKt>W<>NryronkH<W<vYxI:i_HKabUvPxIyA>NtNanCjU
;yAFS<D;_hKabMnG<D;?FSxIbMnCjysy::vPt>W<nG`Fyaym^cUUMabMZqlysy::nCt>:b
]vtQuyvY<DW\\H;t@yay=::::::t@W\\HKAsyvY::::Jq:W\\hkysy:ZZ<t>W]CmvcxoYx
;GbJa:;_yuy::W\\H;t@W\\ZleYGvY<DW\\H;t@bMnK`v^wYxI;?nC:xIyA:ZqLabMZhk^
;yaCMqbMnCjUsyvY:JabM:ZHle;yaZ<t>bUvYxI:BbZH;<Dyqy;<DW\\H;tByaym^Cb>Nt
@W\\HKqBb>NjU;yAnGt>W\\ZLabMZHLAgkZlywYvPt>W\\hkUsyvYJJcMnCjU;yaC=<DW]
HKabU>N<DRlvYxIM`HKa:yay=:jUcMnCJqRlvYxIM`hKabMZqlysy:ZHKa::W^Q=xI;_HK
a:W]ymy;::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::GEmT@a;>:yQ`CmZS<jFcS<::yqy;:jN`Ty=LM[;qvxq<XP[uy
ysy:ZWcyudiwyyFg=qyYfnxi]^TMkgy;hswyyvY:p?u\\ymn:::yAZWkhry>`fpyZnNkUl
xIyAfukqyWoQ?scwyBIoa\\eDQWry:^expyVoqxyYLq]uYKXdRVNQtgwilMAxI::igrwIH
YgygZLOqxyYT<ryvYjhnyWkyCF:vYxIRqZ\\jK::yA::^JEB[::Z>M<C[::fNjySc^JLBR
cfNLBC>ZymyScZ><J\\;C>:vYLHCn<LB:E_ymyC[^J:PDE_>L<;E_ymy;::::B:Zy=::::
:::::::::tBW\\HKJwmyuy:W\\H;`Fyay=::XuUoCt>W]HpKbM:::>Nry::i?nCt@:W<::
ZZ<yA::M`HKa:yay=:`FbMZymy;:bUUMat^H;:::XEyay=:t@bM:::Zhkysy:>Nt>W<:::
>NxiyISJa:yay=::<DW\\H;:::JJsyxI::JabMZZLabM:::ZZlywY::::::ZhKabMnKUvy
vY::::JabMZhkysy::nGt>W<:::vYxI::W\\H;xIW=nC::JqryFSJa::::i?vY::JJcMnC
::::<Dyqy;:JabMZZLabM:::Zq<xI::W]HKa::::ryvYJJ;W<:::>Nxiy=nGJarg>Nt>W<
:vYxIbUZH;:::t@yay=<DbM:::ZZlywYFSJa:yay=::<DW\\H;:::JJsyxI::t>W<>Nt>W
<:::>Nxiy=::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::ZFMmxim:^S:BmFM<J`?:FmyAZSLmZFyYyyy::jqPVyU;M`wW
sx]l@vxyYxI::::::::::::::::::::::::::::::::bCZymy;:::::::::::C^><:jLCs
j<LB::E_ymyCkY?LB:::E?vYPDC^><:::PDyayM<C[:fNjyCkZ><::JesyvY:::::<J:Zy
=:::::::::::::XEW\\HKq:yaC=t>ryvY:::XEbMnGJAcMnC::<DvY::vPJabUZH<t>::;
?xI::j^;W<vYxI:RlZH;xIyA::nGt>W<::vPxiyyY::Jq:W<::nGxIyA:>Nt>W<:::>Nxi
yISJa:yay=::JJcMnC:::<Dyqy;::JabMZql^cUnCt>::W^ymy;::::::bUZHKA;yA:::Z
QMat^H;tBry::Zh;t>::W]Qmysy::nCt>ryvYt@W\\H;:t@i@vY`FW\\H;::<DvY:::ZZL
abM:::>Nxiy=::nCt>rgZhKabM::nKjy;::bUZH;::t@i@vYJJcMnC:::JJsyxIJqbMnCX
EyaHLabM:vYxI:W=nC::JqryvY:<DW\\H;:::<Dyqyk^cMnCjysy:::>Nt>W<::ZZlywY:
:ZHKa:i_CMqbMnC::tByay=:::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::lFa;nFJ:lFnFxyyyITP`?ZSxy:^S;:m^`C
mSxyyqy;:JUEXyU;]vnwII]gyryvY:::::::::::::::::::::::::::::::::T<:yA:::
::::::::^JLB::E?fNLBC>:fNxIyA^RPDC^><:PDyay=PDC^><PDC`>L<;BsvYLHCn<LB:
E_ymy;C@^J:jLcoZy=:::::<:ry::::::::::::::nCt>ryvY<DW\\HKA;yA:::vPXepHS
xiyyY`FWf]tppnGtByay=:::XEi_CmysyFStBW]hKAsyvY:::jUcMnCjysy::vP`Fi_ymy
;::RlnKt@W=>Nxiy=:::ZC=Jq:W^q<xI::i`CmUc]nCt>W]C=`Fi`ymysgZqlysy::::>N
tBW]hKACbvYyA::::i_q<xIyA>NtBW]hKAsoZy=:::::::t@W\\HKAsyvY::::<DW\\H;<
Dyqy;::jUc]nGt@W^qlysy:::vPXEryvYJJc]nGt@i?vY::<DW]h;tByay=:::::<DW^hK
qb]>Nxiy=:::vPXEryvYjUc]nGt@W^Q=xI::::M`HLqbUZHl^afymy;:i`qxPi_HLabMnG
`Fi_qlesyvYj^;i_ymy;BbnKtByay=:`FW^hKq:W^q<xI:roFSXEW^HKabUFSj^sovYxIr
gZqlysy::::>NJqbUnK<Dyqy;:::XEi?vYxIBbnKt@W]Hle;yA::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::ZS`SS`m
ZyuF>ZyE:mvyyqyK`syyQmxi:^SlFmN:`CvYyA::b?Vf;qyPJjxUyyIyA:::::::::::::
:::::::::::::::::::Z`:xIyA:::::::::::^JEB[::fNxIE_>L<;:E_ymy;:g`PM\\yT
?Uw\\_VxIyA:^VLxfYFjysy^Rjysy:^JLB:E?vY:JeCk^RTGyay=::::::<J:jyyI:::::
:::::::::W]HKaRlvY:t>i?xyy;::::::::::::::::::::::i_HKa:yay=:::::::::::
::::::::::::<DW\\HKqryvY:::::::::::::::::::::::::::::::t@W\\HKAsyvY:::
:t@bMZymy;:::::::::::::::::::::::::::::::::::::::::::::::::::::BbZHKqr
yvY:::::::::::::::::JJ;W\\h;xI::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::BmF
MxyyyyF[yAZFuyxI:j_Qh`_SyqymF;R`<:yqy;::doXuYEb?NoWqyymy;:::::::::::::
:::::::::::::::::::bCZymy;:::::::::::C^><:J\\syfNLBC>:fNxyywY:::::::::
:::LHCn<LB:E?vY:::::::::::<J:Zy=:::::::::::::JAcMnCtByaHKa:yay=:::::::
:::::::::::::::jU;W<vYxI:::::::::::::::::::::::BbZHKq:yA::::::::::::::
::::::::::::::::ZhKabMnKjy;:::i?nCJqryvY::::::::::::::::::::::::::::::
::::::::::::::::::::::::tBW\\HKq:yA:::::::::::::::::>NJabUZy=:::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::<tf[Pjysy:::::::::::::::::::::
::::::::::::Z`:jy;:::::::::::C^><:J\\;E_>L<;:E_ymy;:::::::::::BsZ><jL;
yA::::::::::Z::xI::::::::::::::M`HKabUvPJabUvYxI::::::::::::::::::::::
:i?nCjysy:::::::::::::::::::::::ZH<t>W=vY:::::::::::::::::::::::::::::
::t@W\\HKAsyvY:::XGW\\H;jUsyvY::::::::::::::::::::::::::::::::::::::::
::::::::::::::tBW\\HKqryvY:::::::::::::::::JA;W\\h;xI:::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::bC
:vY:::::::::::J\\CkdB:jysy^VLFC@:nTjy;::::::::::::C`>=Je;yA::::::::::Z
::xI::::::::::::::bMnCJA;W\\Hlysy:::::::::::::::::::::::vPt>W<vYxI:rgZ
H;xIyA::::::::::::::::::ZHLabMnGjy;:i?nCjysy::::::::::::::::::::::::::
ZhKabMnKxIyA:ZCMAcMnC:tByay=::::::::::::::::::::::::::::::::::::::::::
::::::::::::tBW\\HKqryvY:::::::::::::::::JA;W\\h;xI::i?nCjysy:::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::Z::xI::::::::::::::b
UnCt>:RlvYxI:::::::::::::::::::::::i?nCjysy:Zq<t>ryvY:::::::::::::::::
::tBbMnGxIyA:vPJa:yay=::::::::::::::::::::::::::t@W\\H;:::::JqryvY::::
:::::::::::::::::::::::::::::::::::::::::::::::::::tBbMnGjy;::::::::::
:::::::W>nCt@ry::vPJa:yay=::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::<:ry::::::::::::::ZZ@NbM:Zymy;:::::::::::::::::::::::i?
nCjysy:Zq<t>ryvY:::::::::::::::::::XGi_ql^;yA:vPt>W<vYxI::::::::::::::
::::::::::::bUnCt>:::::b]vYxI:::::::::::::::::::::::::::::::::::::::::
::::::::::::::roZql^;yA:::::::::::::::::vTjUSlZy=:jUcMnCjysy::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::Z::xI:::::::::::::::W
\\H;JqryvY:::::::::::::::::::::::jU;W<vYxI:rgZH;xIyA::::::::::::::::::
:::::vPJa:yay=::::::::::::::::::::::::::t@W\\H;:::t@W]ZlywY:::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:vPJa:yay=::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::<
:ry:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::Z::xI::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::B:Zy=:::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::<:ry:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::Z::xI::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::B:Zy=:::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::<:ry:::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Z::xI::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::B:Zy=:::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::<:ry:::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Z::xI
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::B:Zy=:::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::<:ry:::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:Z:j;<Z:>:1:" }{TEXT -1 0 "" }}{PARA 257 "" 0 "" {TEXT 282 16 "Travail
 dirig\351 3" }}{PARA 19 "" 0 "" {TEXT -1 39 "\251 Apprendre Maple. Al
ain Le Stang. 2006" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "
" 0 "" {TEXT 256 7 "TD 3.1:" }}{PARA 0 "" 0 "" {TEXT -1 21 "\311crire \+
une proc\351dure " }{TEXT 258 19 "second_degr\351(a,b,c)" }{TEXT -1 
40 " qui r\351sout l'\351quation du second degr\351 \340" }}{PARA 0 "
" 0 "" {TEXT -1 20 "coefficients r\351els: " }{XPPEDIT 18 0 "a*x^2+b*x
+c = 0;" "6#/,(*&%\"aG\"\"\"*$%\"xG\"\"#F'F'*&%\"bGF'F)F'F'%\"cGF'\"\"
!" }{TEXT -1 53 " en distinguant 3 cas selon le signe du discriminant.
" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{EXCHG {PARA 0 "" 0 "" {TEXT 257 7 "TD 3.2:" }}{PARA 0 "" 0 "" {TEXT 
-1 21 "\311crire une proc\351dure " }{TEXT 259 8 "somme(n)" }{TEXT -1 
11 " calculant " }{TEXT 260 13 "r\351cursivement" }{TEXT -1 25 " la so
mme des entiers de " }{TEXT 261 1 "0" }{TEXT -1 3 " \340 " }{TEXT 262 
1 "n" }{TEXT -1 7 " , pour" }}{PARA 0 "" 0 "" {TEXT 263 1 "n" }{TEXT 
-1 22 " entier naturel donn\351." }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT 264 7 "TD
 3.3:" }}{PARA 0 "" 0 "" {TEXT -1 21 "\311crire une proc\351dure " }
{TEXT 265 12 "renverser(n)" }{TEXT -1 40 " , qui , \351tant donn\351 u
n entier naturel  " }{TEXT 266 1 "n" }{TEXT -1 21 " ne comportant pas \+
de" }}{PARA 0 "" 0 "" {TEXT -1 86 "0 dans son \351criture d\351cimale \+
, rend pour r\351sultat l'\351criture renvers\351e de cet entier ." }}
{PARA 0 "" 0 "" {TEXT -1 62 "Pr\351voir un message d'erreur si l'entie
r comporte le chiffre 0." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT 267 8 "Exemple:" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 18 "renverser(122564);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#\"'@_Y" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "renverser(120325
);" }}{PARA 8 "" 1 "" {TEXT -1 54 "Error, (in renverser) le chiffre 0 \+
n'est pas autoris\351." }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 
0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT 268 7 "TD 3.4:" }}
{PARA 0 "" 0 "" {TEXT -1 17 "\311crire un module " }{TEXT 269 7 "segme
nt" }{TEXT -1 290 " permettant de mod\351liser un segment du plan, d
\351fini par ses deux\npoints extr\351mit\351s.Ce module comportera de
s variables locales export\351es rendant comme\nr\351sultat la premi
\350re et la seconde extr\351mit\351 du segment, sa longueur, et son m
ilieu.  \nOn pourra utiliser le module d\351fini par la proc\351dure \+
" }{TEXT 271 3 "pnt" }{TEXT -1 23 " de l'exercice corrig\351 " }{TEXT 
270 3 "3.2" }{TEXT -1 1 "." }}}{PAGEBK }{PARA 258 "" 0 "" {TEXT -1 28 
"Corrig\351 du Travail dirig\351 3:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }
{TEXT 272 7 "TD 3.1:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 334 "sec
ond_degre:=proc(a,b,c)\nlocal delta;\nif a=0 then\n  error \"a doit \+
\352tre non nul\"\nelse\n  delta:=b^2-4*a*c;\n  if delta<0 then print(
`pas de solution`)\n  elif delta=0 then print(`racine double `,x=-b/(2
*a))\n  else print(`2 racines distinctes `,              x=(-b-sqrt(de
lta))/(2*a),x=(-b+sqrt(delta))/(2*a))\n  end if; \nend if;\nend proc;
" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%-second_degreGf*6%%\"aG%\"bG%\"c
G6#%&deltaG6\"F,@%/9$\"\"!YQ4a~doit~|eytre~non~nulF,C$>8$,&*$)9%\"\"#
\"\"\"F;*(\"\"%F;F/F;9&F;!\"\"@'2F5F0-%&printG6#%0pas~de~solutionG/F5F
0-FC6$%/racine~double~G/%\"xG,$*&F9F;F/F?#F?F:-FC6%%62~racines~distinc
tes~G/FK,$*&,&F9F?-%%sqrtG6#F5F?F;F/F?#F;F:/FK,$*&,&F9F?FVF;F;F/F?FYF,
F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "second_degre(0,2,4)
;" }}{PARA 8 "" 1 "" {TEXT -1 45 "Error, (in second_degre) a doit \352
tre non nul\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "second_deg
re(1,7,2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%%62~racines~distinctes~G
/%\"xG,&#!\"(\"\"#\"\"\"*&#F*F)F**$-%%sqrtG6#\"#TF*F*!\"\"/F%,&F'F**&#
F*F)F*F.F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "second_degr
e(4,4,1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%/racine~double~G/%\"xG#!
\"\"\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "second_degre(1
,1,4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%0pas~de~solutionG" }}}
{PAGEBK }{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 273 7 "
TD 3.2:" }{TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 48 "La r\351
cursivit\351 est fond\351e sur la formule: somme(" }{TEXT 274 1 "n" }
{TEXT -1 2 ")=" }{TEXT 275 1 "n" }{TEXT -1 7 "+somme(" }{TEXT 276 3 "n
-1" }{TEXT -1 7 ") pour " }{XPPEDIT 18 0 "1<=n" "6#1\"\"\"%\"nG" }
{TEXT -1 3 " et" }}{PARA 0 "" 0 "" {TEXT -1 11 "somme(0)=0." }}}{PARA 
0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 77 "so
mme:=proc(n::nonnegint)\n  if n=0 then 0 else n+somme(n-1) end if;\nen
d proc;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&sommeGf*6#'%\"nG%*nonneg
intG6\"F*F*@%/9$\"\"!F.,&F-\"\"\"-F$6#,&F-F0F0!\"\"F0F*F*F*" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "somme(20);" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#\"$5#" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "
" 0 "" {TEXT 277 7 "TD 3.3:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
322 "renverser:=proc(n::posint)\n  local a,i,L,n1,n2;\n  n2:=0;n1:=n;
\n  L:=floor(ln(n)/ln(10))+1;  # longueur du nombre n \n  for i from L
-1 to 0 by -1 do\n     a:=floor(n1/(10^i)); \n     if a=0 then error \+
\"le chiffre 0 n'est pas autoris\351\" else\n       n2:=n2+10^(L-1-i)*
a;\n       n1:=n1-a*10^i;\n     end if\n  end do;\n  n2\nend proc;" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#>%*renverserGf*6#'%\"nG%'posintG6'%\"a
G%\"iG%\"LG%#n1G%#n2G6\"F0C'>8(\"\"!>8'9$>8&,&-%&floorG6#*&-%#lnG6#F7
\"\"\"-F@6#\"#5!\"\"FBFBFB?(8%,&F9FBFBFFFFF4%%trueGC$>8$-F<6#*&F6FB)FE
FHFF@%/FMF4YQ@le~chiffre~0~n'est~pas~autoris|dyF0C$>F3,&F3FB*&)FE,(F9F
BFBFFFHFFFBFMFBFB>F6,&F6FB*&FMFBFQFBFFF3F0F0F0" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 18 "renverser(122564);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#\"'@_Y" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "re
nverser(120325);" }}{PARA 8 "" 1 "" {TEXT -1 54 "Error, (in renverser)
 le chiffre 0 n'est pas autoris\351\n" }}}{PAGEBK }{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 278 7 "TD 3.4:" }{TEXT -1 0 "" }
}{EXCHG {PARA 0 "" 0 "" {TEXT -1 24 "On utilise la proc\351dure " }
{TEXT 280 3 "pnt" }{TEXT -1 23 " de l'exercice corrig\351 " }{TEXT 
279 3 "3.2" }{TEXT -1 2 " :" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 "pnt:=proc(x,y)\n  module()
\n    export abscisse,ordonnee;\n    abscisse:=()->x;\n    ordonnee:=(
)->y;\n  end module\nend proc;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$p
ntGf*6$%\"xG%\"yG6\"F)F)b6#%+thismoduleGF)F)6$%)abscisseG%)ordonneeGC$
>8$f*F)F)6$%)operatorG%&arrowGF)T$F)F)6$F'F7>8%f*F)F)F4F)F7F)F)6$F(T&F
)F)6&F'9$F(9%F)F)F)F)" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 
0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 313 "segmen
t:=proc(p1,p2)\n  module()\n    export point1,point2,longueur,milieu;
\n    point1:=()->p1;\n    point2:=()->p2; longueur:=()->sqrt((p1:-abs
cisse()-p2:-abscisse())^2+(p1:-ordonnee()-p2:-ordonnee())^2); milieu:=
()->pnt((p1:-abscisse()+p2:-abscisse())/2,(p1:-ordonnee()+p2:-ordonnee
())/2);\n    end module\nend proc;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#
>%(segmentGf*6$%#p1G%#p2G6\"F)F)b6#%+thismoduleGF)F)6&%'point1G%'point
2G%)longueurG%'milieuGC&>8$f*F)F)6$%)operatorG%&arrowGF)T$F)F)6$F'F9>8
%f*F)F)F6F)F9F)F)6$F(T&>8&f*F)F)F6F)-%%sqrtG6#,&*$),&-_F9%)abscisseGF)
\"\"\"-_F?FLF)!\"\"\"\"#FMFM*$),&-_F9%)ordonneeGF)FM-_F?FWF)FPFQFMFMF)
F)6&F'F9F(F?>8'f*F)F)F6F)-%$pntG6$,&FJ#FMFQ*&F\\oFMFNFMFM,&FUF\\o*&F\\
oFMFXFMFMF)F)FZF)F)6&F'9$F(9%F)F)F)F)" }}}{PARA 0 "" 0 "" {TEXT -1 0 "
" }}{EXCHG {PARA 0 "" 0 "" {TEXT 281 19 "Etude d'un exemple:" }}}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
24 "A:=pnt(a,b):B:=pnt(c,d):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 16 "S:=segment(A,B);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"SG`6&%'p
oint1G%'point2G%)longueurG%'milieuGb6#%+thismoduleG6\"F.6&%'point1G%'p
oint2G%)longueurG%'milieuGF.F.F.6&%#p1G%\"AG%#p2G%\"BG6\"6\"" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "S:-point1(),S:-point2();" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6$%\"AG%\"BG" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 14 "S:-longueur();" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*
$-%%sqrtG6#,.*$)%\"aG\"\"#\"\"\"F,*(F+F,F*F,%\"cGF,!\"\"*$)F.F+F,F,*$)
%\"bGF+F,F,*(F+F,F4F,%\"dGF,F/*$)F6F+F,F,F," }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 15 "M:=S:-milieu();" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#>%\"MG`6$%)abscisseG%)ordonneeGb6#%+thismoduleG6\"F,6$%)abscisseG%)or
donneeGF,F,F,6&%\"xG,&%\"aG#\"\"\"\"\"#*&F4F5%\"cGF5F5%\"yG,&%\"bGF4*&
F4F5%\"dGF5F56\"6\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "M:-a
bscisse(),M:-ordonnee();" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&%\"aG#\"
\"\"\"\"#*&F%F&%\"cGF&F&,&%\"bGF%*&F%F&%\"dGF&F&" }}}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}}{MARK "1 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }
{PAGENUMBERS 0 1 2 33 1 1 }