Multifield Problems in Solid and Fluid Mechanics

') 

$*#'.$*%! '$!"(

' )$ ') 

>@Y <WHbK H5 KWHA/%^Y +/CY d@^> KWH%/YY/Y* @F d>@%> +@6/W/F^ +HD@FY F+ ^>/@W YYH%@^/+ 8/C+Y @F^/W%^ HF ^>/@W !HbF+W@/YO WH!C/DY* @F d>@%> +@6/W? /F^ D/+@ Yb%> Y :/e@!C/ !H+@/Y F+ :b@+Y @F^/W%^* W/ %HFY@+/W/+O HW/Hc/W* +HD@FY d@^> ^>/ YD/ %HFY^@^b^@c/ !/>c@HW W/ %HFY@+/W/+* @F d>@%> 8/C+Y H5 ^>/ YD/ ^fK/ @F^/W%^ HF ^>/@W YbW5%/ !f* /O/ <5/ @ <5C7  @Y %HDKHY/+ H5 ^>/ 5HCCHd@F< KWHA/%^Y) I) a) ;) 9)

HF^%^ WH!C/DY @F %>@F/ fFD@%Y LIGG92ahh_M WFYHF@% CHd HF C/e@!C/
@W5H@CY LIGG92IGG[M Cb@+?^Wb%^bW/?F^/W%^@HF H5 >/CCY LIGG92ahh\M
%HbY^@% F+ f+WH%HbY^@% +@^@HF WHD @!W^@F< HC@+Y LIGG92ahh\M \)
+K^@c/ bC^@<W@+ /^>H+Y 5HW HF^%^ WH!C/DY d@^> W@%^@HF LIGG\2ahhhM [) f!W@+ bC^@!H+f @DbC^@HF H5 WFbCW /+@ LahhI2ahh\M 0) HF^%^ fFD@%Y W/^/+ !f bC^@!H+f fY^/DY F+ bC^@<W@+ /^>H+Y Lahh_2ahh\M


CC KWHA/%^Y H5 ^>@Y <WHbK ^W/^ +fFD@% KWH!C/DY* @F d>@%> YK^@C +@Y%W/^@g? ^@HFY Y d/CC Y ^@D/ +@Y%W/^@g^@HF KCf F @DKHW^F^ WHC/O F WHA/%^Y ; F+ 9 @F^/W%^@HFY !/^d//F /CY^@% %HF^@Fb F+ %HDKW/YY@!C/ Y d/CC Y @F%HD? KW/YY@!C/ :b@+Y C/+ ^H %HDKC@%^/+ c@!W^@HF KWH!C/DYZ ^>/Y/ %HD/ CHF< d@^> YHbF+ W+@^@HF @F ^>/ %HbY^@% %Y/O WHA/%^Y [ F+ 0 !/CHF< ^H  %CYY H5 KWH!C/DY* @F d>@%> DH+/C@F< H5 ^>/ !HbF+Wf YbW5%/ F+ ^>/ %HF^%^ W/ @F ^>/ 5H%bYO 9! 86EEA @84%5A 16 /16% L651A >@Y KWHA/%^ LO %>@/>C/F F+ O /F+CF+M +/CY d@^> ^>/ @F^/W%^@HF !/^d//F D%WHY%HK@% DH^@HF H5 @DK%^@F< D%>@F/ /C/D/F^Y F+ D@%WHY%HK@%

J0b

X/4%/ _I X_ 

+/5HWD^@HF @F ^>/ @F^/W5%/O /^>H+Y H5 DbC^@!H+f +fFD@%Y W/ d/CC Yb@^/+ ^H +/Y%W@!/ D%WHY%HK@% DH^@HF* d>@C/ !HbF+Wf /C/D/F^ D/^>H+Y W/ d/CC Yb@^/+ ^H +/Y%W@!/ D@%WHY%HK@% +/5HWD^@HFO >/ KWHA/%^ @D @Y ^H +/Y%W@!/ ^>/ ^WFY@/F^ %HF^%^ 5HW%/Y !f !HbF+Wf /C/D/F^Y F+ ^H +HK^ DbC^@!H+f @F^/<W^@HF KWH%/+bW/Y 5HW ^>/ >@<> 5W/Qb/F%f KWH%/YY +bW@F< @DK%^O @<@+ !H+f DH^@HFY @F ^>/ @F^/W5%/ DH+@5f !HbF+Wf %HF+@^@HFY ^@D/?+/K/F+/F^CfO >/ ^>/HW/^@%C DH+/C@F< @Y cC@+^/+ !f @%> ^>/ DH+/C KWD/^/WY W/ @+/F^@8/+O G! @6A861 48J 86 4%K14%
1@(814A F ^>@Y KWHA/%^ LO @FBC/W F+ O @^^bDM ^>/ @F^/W%^@HF !/^d//F ^WFYHF@% :Hd F+ ^>/ c@!W^@HF H5 :/e@!C/ @W5H@CY @Y FCfg/+O >/ :Hd @F ^>/ Y^Wb%^bWC F/W8/C+ @Y %C%bC^/+ !f !HbF+Wf Cf/W ^>/HWf d@^> DH+/C W/8F/D/F^ !f Y/KW^@HFO Cb^^/W FCfY@Y H5 ^>/ FHFC@F/W?%HbKC/+ YfY^/DY C/+Y ^H C@D@^ %f%C/Y d@^> 8F@^/ DKC@^b+/YO >/ Y^!@C@^f H5 C@D@^ YHCb^@HFY @Y FCfg/+ F+ ^>/ +/<W//Y H5 5W//+HD H5 ^>/ FHFC@F/W /WH?/CY^@% YfY^/D W/ W/+b%/+ ^H +/Y%W@!/ +HD@? FF^ DH+/Y H5 c@!W^@HF F+ ^H /Y/ KWD/^/W cW@^@HFYO H!bY^ F+ +K? ^@c/ DbC^@<W@+ D/^>H+Y W/ +/c/CHK/+ 5HW ^>/ %HDKW/YY@!C/ :Hd H5 :/e@!C/ Y^Wb%^bW/YO >/ YHCb^@HF Y^W^/ +K^@c/ W/8F/D/F^ 5HW ^WFYHF@% :HdO H%C W/? 8F/D/F^ @Y F/%/YYWf ^H +/Y%W@!/ Y>H%BY F+ !HbF+Wf Cf/WYO >/ %HbKC@F< H5 ^>/ 5W8/C+ d@^> ^>/ Y^^@HFWf bC/W /Qb^@HFY W/ %Y^ @F^H  !HbF+Wf @F^/<WC /Qb^@HF KWHc@+@F< ^>/ 5W8/C+ !HbF+Wf %HF+@^@HF 5HW ^>/ :Hd +^O >/ W/YbC^ @Y @D!/++/+ @F  O -! 4H1#0E@HEH@% 6E%@E186 8( /%44A F ; LO DD F+ O CCM  WH!bY^ F+ /7%@/F^ FbD/W@%C D/^>H+ ^H Y@DbC^/ ^>/ +fFD@%Y H5 ^>@F FHFC@F/W Y^Wb%^bW/Y @F^/W%^@F< d@^>@F %HD? KW/YY@!C/ :HdY @Y +/c/CHK/+O ^ W/C@/Y HF F +cF%/+ Y/c/F?KWD/^/W 8F@^/ /C/D/F^ Y>/CC 5HWDbC^@HF 5HW ^>/ Y^Wb%^bW/ F+  Y^!@C@g/+ 8F@^/?/C/D/F^ :Hd?YHCc/W 5HW @F%HDKW/YY@!C/ :HdY HF +/5HWD@F< +HD@FY @F F
 5HWDbC^@HF F+ @^ KKC@/Y F @^/W? ^@c/Cf Y^<O /Ce^@HF !f D/FY H5 ^>/
@^B/F D/^>H+ HW  Y^//K/Y^ +/Y%/F^ 5HWDbC^@HF %%/C/W^/Y ^>/ %HFc/W/D/Y /e>@!@^ ^>/ YH?%CC/+ ++/+ DYY @FY^!@C@^f d>@%> +/K/F+Y bKHF ^>/ DYY +/FY@^f W^@HO
F FCfY@Y H5 ^>@Y @FY^!@C@^f W/c/CY d>f ^>/ +/Y^!@C@g@F< /6/%^ @F%W/Y/Y d@^> F @F%W/Y/+ HW+/W H5 ^/DKHWC %%bW%f H5 ^>/ :Hd YHCc/WO >bY @^/W^@HFY Hc/W ^>/ 8/C+Y W/ W/Qb@W/+O HW CHF< ^@D/ :b@+?Y^Wb%^bW/ @F^/W%^@HF Y@DbC^@HFY YK/%@C /DK>Y@Y @Y Kb^ HF ^>/ %%bW%f H5 ^>/ :Hd YHCc/W d@^> W/YK/%^ ^H YDCC ^@D/ Y^/KY F+

X/4%/ _I X_ 

J0`

+@Y^HW^/+ D/Y>/YO >/ :Hd /Qb^@HFY HF  +fFD@%CCf %>F<@F< +HD@F W/ 5HWDbC^/+ Yb%> ^>^ /W/F^Cf Y^@Y8/+O
5W// YbW5%/ KKWH%> >Y !//F @F%HWKHW^/+ @F^H ^>/ 5HWDbC^@HF d>/W/ ^>/ bK+^/ H5 ^>/ 5W// YbW5%/ / @^/W^@c/Cf Y^</D/O @/ /7%@/F%f %HbC+ !/ %>@/c/+ !f  c/%^HW@g^@HF %HF%/K^ d>@%> HK^@D@g/Y ^>/ %H+/ ^H bY/  CW/ %^bC K/B K/W5HWDF%/O >/ D/^>H+ @Y KKC@%!C/ ^H  !WH+ YK/%^WbD H5 @F%HDKW/YY@!C/ :HdY @F^/W%^@F< d@^> ^>@F* :/e@!C/ Y^Wb%^bW/Y Yb%> Y :Hd @F K@K/Y* %%/C/W^/+ C@Qb@+ 8CC/+ ^FBY* ^>/ /WH+fFD@%Y H5 ^>@F Y^Wb%^bW/Y HW K>fY@HCH<@%C :HdY C@B/ !CHH+ :HdO ,!
8HAE1 6# L#@88HAE1 #1E186 (@85 1@E16. 841#A >/ HbF+Wf C/D/F^ /^>H+ LM @Y d@+/Cf bY/+ 5HW ^>/ Y@DbC^@HF H5 %HbY^@% 8/C+Y F+ /CY^@% YHC@+Y @FcHCc@F< @F8F@^/ +HD@FYO F ^>/ 8WY^ K>Y/ H5 ^>/ WHA/%^ 9 LO bCM*  YfDD/^W@% >f!W@+  dY +/c/CHK/+* d>@C/ @F ^>/ Y/%HF+ K>Y/  Y^ bC^@KHC/ bC^@C/c/C LM  dY +/W@c/+ F+ @DKC/D/F^/+ 5HW ^>/ _ /CD>HC^g /Qb^@HFO >/ B/f @+/ H5 ^>/ DbC^@KHC/ D/^>H+ @Y ^H KKWHe@D^/ ^>/ 5bF+D/F^C YHCb^@HF ^ YHD/ +@Y^F%/ 5WHD ^>/ YHbW%/ KH@F^ !f  DbC^@KHC/ Y/W@/Y /eKFY@HFO >/ !HbF+Wf /C/D/F^Y W/ %HD!@F/+ @F  %CbY^/W ^W//* CCHd@F< ^>/ /7%@/F^ /cCb^@HF H5 ^>/ D^W@e? c/%^HW KWH+b%^O >/ W/YbC^@F< %HDKC/e@^f H5 ^>/ CD @Y QbY@?C@F/W* F+ ^>@Y* Db%> 5Y^/W ^>F ^>/ ^W+@^@HFC O Hd/c/W* ^>/ KKC@%^@HF H5 ^>/ 5Y^ DbC^@KHC/  5HW ^>/ Y@DbC^@HF H5 %HbY^@% 8/C+?Y^Wb%^bW/ @F^/W%^@HF KWH!C/DY KHY/Y FHd +/DF+Y HF ^>/ YHCc/W 5HW ^>/ %HbKC/+ YfY^/DY) +@W/%^ K? KWH%>/Y W/ FH^ KKC@%!C/ F+ @^/W^@c/ Y%>/D/Y Yb6/W 5WHD @CC?%HF+@^@HF@F/ W/Y/W%> +HK^Y ^>/ 5Y^ DbC^@KHC/  5HW _ %HbY^@%Y F+ /e? ^/F+Y @^Y KKC@%^@HF ^H ^>/ Y@DbC^@HF H5 %HbY^@%?Y^Wb%^bW/ @F^/W%^@HFO >/ 5Y^ DbC^@KHC/  @Y %HbKC/+ ^H  8F@^/ /C/D/F^ 5HWDbC^@HF 5HW @W%>>H6 KC^/YO >/ %HbKC@F< CD @Y H5 DHW^W ^fK/ @F d>@%> ^>/ @F^/W5%/ KW/Y? YbW/ @Y @F^/WKHC^/+ Y ^>/ <WF@Y CCHdY ^>/ %HbKC@F< H5 FHF?D^%>@F< <W@+YO HW ^>/ @^/W^@c/ YHCb^@HF H5 ^>/ W/YbC^@F< Y++C/ KH@F^ KWH!C/D* F KKWHe@D^/ gd?^fK/ CD @Y KWHKHY/+O >/ /F/WC@g/+ @F@DC /Y@+bC /^>H+ LM @Y bY/+ 5HW ^>/ Hb^/W @^/W^@HFY HF ^>/ W/+b%/+ /Qb^@HF 5HW ^>/ <WF/ @FF/W  F+  Yb!? YfY^/DY W/ KKWHe@D^/+ d@^> %HFAb<^/ <W+@/F^ F+  @^/W^@HFY* W/YK/%^@c/CfO >/ /7%@/F%f H5 ^>/ YHCc/W @Y @F%W/Y/+ !f KW/?%HF+@^@HF@F< d@^> F KKWHe@D^/ @Fc/WY/ KKWH%>O >/ 5bF+D/F^CY H5  bggf  5HWDbC^@HF 5HW @F%HWKHW^@F< bF%/W? ^@F^@/Y H5 DH+/C +^ d/W/ +/W@c/+O

J0:

X/4%/ _I X_ 

C!
#:E1I% H4E1.@1# %E/8#A (8@ 86EE @84%5A J1E/ @1E186 F \ LO HWF>b!/WM  DHFH^HF/ DbC^@<W@+ D/^>H+ dY +/c/CHK/+ 5HW ^>/ @/ C@F/W %Y/O HF^%^ d@^> 5W@%^@HF dY ^W/^/+ !f  8e KH@F^ @^/W^@HF ^H +/^/WD@F/ ^>/ bFBFHdF FHWDC Y^W/YY/YO F /%> 8e KH@F^ Y^/K  K@/%/d@Y/ YDHH^> cW@^@HFC KWH!C/D >Y ^H !/ YHCc/+O >/ /e^/FY@HF H5 DHFH^HF/ DbC^@<W@+ D/^>H+Y W/Qb@W/Y  CH%C /d^HF? C@F/W@g^@HF C@FB/+ d@^>  +DK@F< Y^W^/ dY +/c/CHK/+ F+ ^/Y^/+ FbD/W@%CCf d@^> KWHD@Y@F< W/YbC^YO B! L@1# H4E18#L 15H4E186 8( @6H4@ %#1 >/ @D H5 ^>@Y KWHA/%^ LO !/W>W+ F+ O b+@F<M @Y ^H Y@DbC^/ CW/ +@Y%W/^/ /C/D/F^ D/^>H+ LM @Y bY/+O >/F* !H+@/Y W/ DH+/C/+ Y W@<@+ !H+@/Y* F+  c@HW H5 ^>/ K>fY@%C KWHK/W^@/Y @Y %>@/c/+ !f D/FY H5 ^>/ %HF? ^%^ 5HW%/YO /W/* @F FHWDC +@W/%^@HF ^>/ /Cc@F?H@<^ DH+/C @Y bY/+O HW  Y^WHF/ DH+/C !f HF^>@/W %F !/ bY/+O
FH^>/W KHYY@!@C@^f @Y  DH+/C d>@%> %F CYH @F%HWKHW^/ +>/Y@c/ !/>c@HWO HW ^>/ %HF^%^ 5HW%/Y @F ^FW// +@6/W/F^ DH+/CY W/ @DKC/? D/F^/+ F+ %HDKW/+O @WY^*  W//W/ ^>/ %HF^%^ 5HW%/ @Y +/K/F+/F^ HF ^>/ W/C^@c/ c/CH%@^f H5 ^>/ !H+@/YO
++@^@HFCCf*  DH+/C !Y/+ HF ^>/ /CY^H?KCY^@% FCH/ bF+CC?^W%B DH+/C W/ bY/+O @F%/ ^>/ %HF^%^ +/^/%^@HF @Y c/Wf ^@D/ %HFYbD@F<* YHK>@Y^@%^/+ KW/? YHW^@F< CDY W/ @Fc/Y^@<^/+* d>@%> Y/W%> 5HW ^>/ +@W/%^Cf F/@<>!HW@F< !H+@/YO HW %HCC@Y@HF +/^/%^@HF* ^>W// +@6/W/F^ D/^>H+Y W/ @DKC/D/F^/+ F+ %HDKW/+* /O/ Wf %WHYY@F< D/^>H+* !Y/+ HF  * HW ^>/ DbC^@KHC/ D/^>H+ !Y/+ HF ^>/ %C%bC^@HF H5 ^>/ +Hb!C/ Cf/W KH^/F^@C* HW ^>/ %HDDHF KCF/ D/^>H+O &! 86EE L651A @%E%# L H4E18#L LAE%5A 6# H4E1.@1# %E/8#A WHD ^>/ D^>/D^@%C KH@F^ H5 c@/d* DFf @DKHW^F^ %HF^W@!b^@HFY ^H DHW? ^W +@Y%W/^@g^@HF D/^>H+Y 5HW ^dH !H+f 5W@%^@HFC %HF^%^ KWH!C/DY >c/ !//F %%HDKC@Y>/+ @F ^>/ 5WD/dHWB H5 ^>/ WHA/%^ 0 LO !/W>W+ F+ O H>CDb^>MO /d HK^@DC  KW@HW@ /WWHW /Y^@D^/Y >c/ !//F /Y^!C@Y>/+ Y d/CC Y /7%@/F^ Y^W^/<@/Y 5HW ^>/ FbD/W@%C YHCb^@HF H5 Yb%> FHFC@F/W KWH!? C/DYO ^/W^@c/ YHCc/WY !Y/+ HF DbC^@<W@+ ^/%>F@Qb/Y >c/ !//F %HD!@F/+ d@^> ^>/ @+/ H5 Y/D@?YDHH^> /d^HF D/^>H+Y C/+@F< ^H KW@DC?+bC %^@c/ Y/^ Y^W^/<@/YO >@Y KKWH%> C/+Y ^H F /7%@/F^ @^/W^@c/ YHCc/W* d>@%> %F !/

X/4%/ _I X_ 

J08

@F^/WKW/^/+ Y  FHFC@F/W DbC^@<W@+ D/^>H+O ^ >Y !//F +AbY^/+ ^H /F/W/WDHW/* F  KHY^/W@HW@ /WWHW /Y^@D^HW 5HW ^dH?!H+f %HF^%^ KWH!C/DY >Y !//F +/c/CHK/+ d>@%> C/+Y ^H  8F/ W/YHCb^@HF H5 ^>/ YHCb^@HF ^ ^>/ %HF^%^ gHF/O @F%/ Y^F+W+ CHd?HW+/W 8F@^/?/C/D/F^ 5HWDbC^@HFY Y>Hd cHCbD/ CH%B@F< 5HW F/WCf @F%HDKW/YY@!C/ D^/W@CY  DH+? @8/+ 8F@^/ /C/D/F^ 5HWDbC^@HF >Y !//F <@c/F ^H cH@+ ^>/Y/ /6/%^YO F ^>/ /eK/W@D/F^C KW^* d/ +/C d@^> ^>/ H!C@Qb/ @DK%^ H5  WH^^@F< +@Y% Y^W@B@F< F /CY^@% Y^W@K ^ CHd c/CH%@^@/YO >/ /eK/W@D/F^C Y/^bK F+ D/^>H+Y W/ +/Y@@<>?YK//+ +@<@^C %D/W YfY^/D d@^> @DF@Qb/YO >/ FCfY@Y H5 ^>/ D/YbW/D/F^Y Y>HdY* CYH %HDKW/+ d@^> %HDKb^^@HFY* ^>^ >@<>/W Y^W@K :/e@!@C@^f C/+Y ^H DHW/ /F/W@CY^ >@<>/W +@Y% @F@^@C FHWDC c/CH%@^f W/YbC^Y @F* CYH* DHW/ /F/Wf!W@+ @DK%^ DH+/C 5HW @F^/WKW/^@F< ^>/ D/YbW/D/F^Y @Y +/c/CHK/+* d>@%> %F CYH KWHc@+/ YHD/ @FY@<>^ @F^H /6/%^Y H5 Y^W@K :/e@!@C@^f F+ +@Y% @F@^@C DH^@HFYO %6%@4 %A%@/
/1%I%5%6EA ;) 7%@/F^KW^@^@HF/+:b@+?Y^Wb%^bW/@F^/W%^@HFY%>/D/@F^>/%HF^/e^H5 F
W!@^WWf<WF<@FbC/W@F5HWDbC^@HF + Y^!C/:HdYHCc/WHF+/5HWD@F<+HD@FYbY@F<8F@^//C/D/F^Y + %HDKb^^@HFCD/Y>+fFD@%Y + Y^!C/Y^</D/Y + 5W//YbW5%/KKWH%>@F%Cb+/+@FY^<f!W@+!HbF+Wf/C/D/F^D/^>H+ + 5Y^DbC^@KHC/DbC^@C/c/C!HbF+Wf/C/D/F^YLM + HW^W?%HbKC@F< + KW/%HF+@^@HF/+@F/e%^gdCD + bggf [) bC^@!H+fY@DbC^@HFH5<WFbCWD^/W@CY + Y@DbC^@HF H5 !bCB YHC@+Y %HFY@Y^@F< H5 DFf KW^@%C/Y !f D/FY H5 +@Y%W/^//C/D/F^D/^>H+HWDHC/%bCW+fFD@%Y + bY!HW>HH+Y/W%>D/^>H+Y)/WC/^ D/^>H+*C@FB/+%/CCD/^>H+F+C@FB/+C@F/WC@Y^ + +@6/W/F^%HCC@Y@HF+/^/%^@HFD/^>H+Y)Wf%WHYY@F<*DbC^@KHC/D/^>H+* %HDDHFKCF/D/^>H+ + %HFY@+/W^@HFH5 /CY^@%@^f F+ +@YY@K^@HF!f D/FY H5 /Cc@F?H@<^ DH+/CF+/e^/FY@HFYH5^>@YDH+/C*^W/^D/F^H5+>/Y@HF*%H>/Y@HF

J0]

X/4%/ _I X_ 

+ ^FH+Y 5HW 5W@%^@HFC %HF^%^ W/YbC^@F< @F  DbC^@C/c/C KW@DC? +bC %^@c/ Y/^ Y^W^/ W/8F/D/F^ Y^W^// +fFD? @%C %Y/ + /eK/W@D/F^C Y/^bK H5 H!C@Qb/ %HF^%^ + /6/%^Y H5 Y^W@K :/e@!@C@^f F+ +@Y% @F@^@C DH^@HFY + >f!W@+ @DK%^ DH+/C

)")! $!( $' ) "#))$# $ *(%#($#(# ^/5F/WW/Y3 *@DbF+, bW
FZ_@_c_/4IX
LLC@/+
FCgZ@ZF+cD/X@%C@DcC_@IF*F@d/XZ@_gI4 _c__;X_*45/FeC+X@F;8\*\i8]G_c__;X_*/XDFg     

     

& /LX_D/F_I+/ F;/F@/X._/D _@%*%cC_++/@/F%@Z.Z@%Zg _/D _@%Z*F@d/XZ@+++/IF%/L%@ IF*Z@CCJ]i?*IF%/L%@ IF*>@C/     2!!+5) _>/D_@%C DI+/CZ 4IX Z/+@D/F__@IF LXI%/ZZ/Z X/ F//+/+ @F Fc? D/XIcZ@F+cZ_X@CLLC@%_@IFZ4IX_>/+/Z%X@L_@IF*Z@DcC_@IF*+/Z@;FF+%IF_XICI4 ZIC@+?C@Rc@+Z/LX_@IFLXI%/ZZ/ZI4ZcZL/FZ@IFZP>/7XZ_Z@DLC/!c_%IDLC/_/DI+/C +/Z%X@!@F;_>/Z/__C@F;I4 DIFI+@ZL/XZ/ ZcZL/FZ@IF I4 ZDCC X@;@+ ZL>/X/Z@Z_>/ B@F/D_@%Z/+@D/F__@IFDI+/C+c/_I gF%>"G`#*e>@%>C/+Z_IZ%CXFIFC@F/X %IFZ/Xd_@IFCeP>//f_/FZ@IFI4_>@ZDI+/C_I9I%%cC_/+ZcZL/FZ@IFZ*LX/ZZcX/ 7C_/XZ*LICg+@ZL/XZ/ZcZL/FZ@IFZF+%IF_@FcIcZCgIL/X_/+%CX@7/X?_>@%B/F/XcF@_Z ;@d/X@Z/_IdX@/_gI4_@D/?+/L/F+/F_LX_@C+@5/X/F_@C/Rc_@IFZe@_>@F_X@;c? @F;FIF?Z_F+X+LXIL/X_@/ZP>/Z/LXIL/X_@/Z@F%Cc+/Z_XIF;Cg+/;/F/X_/LX!IC@% /Rc_@IFZ*4X//!IcF+XgLXI!C/DZ*Z_XIF;Cg%IcLC/+ZgZ_/DZI4%IFZ/Xd_@IFCeZ e>@%>Dg4@C_I!/>gL/X!IC@%*F+%IFZ/Xd_@IFCeZe@_>+@Z%IF_@FcIcZ9cfP >@Z%IF_X@!c_@IF;@d/ZFId/Xd@/eI4_>/c_>IXZWX/Z/X%>_>_>Z!//F+/dI_/+ _I_>/D_>/D_@%CDI+/C@F;I4ZIC@+?C@Rc@+Z/LX_@IF*_>//f@Z_/F%/F+cF@Rc/? F/ZZFCgZ@ZI4_>/Z//Rc_@IFZ*_>/+/Z@;FF+%IFd/X;/F%/FCgZ@ZI4FcD/X@%C Z%>/D/Z*F+_>/LLC@%_@IF_I/F;@F//X@F;LXI!C/DZPf_/FZ@IFZ_II_>/XLLC@%? _@IFZF+;/F/XC%IF_X@!c_@IFZ_ID_>/D_@%CFCgZ@ZX/CZI++X/ZZ/+P

%LJ8@#A!/+@D/F^^@HF*KHCf+@YK/WY/YbYK/FY@HFY*D^>/D^@%CDH+/C* YfY^/DH5%HFY/Wc^@HFCdY*FbD/W@%CY@DbC^@HF

, )3/+63%+) 9=9 @84%5A 8( %#15%6EE186 >/ Y/+@D/F^^@HF H5 YbYK/FY@HFY @FcHCc/Y ^>/ D/%>F@%Y* :Hd F+ ^WFYKHW^ KWHK/W^@/Y H5 D@e^bW/Y H5 :b@+Y F+ YHC@+Y* +WHKC/^Y HW !b!!C/YO bF+D/F^C 2

/Z/X%> XIA/%_
b T/+@D/F__@IF e@_> IDLX/ZZ@IFU

0

P/XX/Z*P, cX;/X*F+P P/F+CF+

YK/%^YH5Y/+@D/F^^@HFF+W/C^/+YHC@+?C@Qb@+Y/KW^@HFKWH%/YY/YYb%>Y 8C^W^@HF HW %/F^W@5b<^@HF @F%Cb+/ KWHK/W^@/Y H5 YbYK/FY@HFY F+ /DbCY@HFY LW>/HCHK/*KW^@%C/?KW^@%C/@F^/W%^@HF*YbW5%/%>W? %^/W@Y^@%Y*f@/C+Y^W/YY*%HF%/F^W^@HF*c@Y%HY@^fM*@F+@c@+bCKW^@%C/YLHW@/F^? ^@HFF+YbW5%^F^YM*F+Y/+@D/F^YF+KHWHbY%B/YLK/WD/!@C@^f*KHWHY@^f F+%HDKW/YY@!@C@^fMO>/Y/KWH%/YY/YW/H5%W@^@%C@DKHW^F%/5HWYHC@+?C@Qb@+ Y/KW^@HFY@F^>/%>/D@%C*D@F@F<*KbCKF+KK/W*dY^/d^/W*5HH+*K>W? D%/b^@%C*%/WD@%F+H^>/W@F+bY^W@/YO ^>/D^@%CDH+/CY5HW ^>/Y/KWH%/YY/YW/H!c@HbYCfH5^>/HW/^@%CY d/CCYH5KW%^@%C@DKHW^F%/O>/f>c/!//Fd@+/CfYb<F>C5%/F^bWf*Y^W^@F<d@^>^>/%/C/!W^/+KK/W!f fF%>"G_#*d>H dY^>/8WY^^HKWHKHY/KW^@C+@6/W/F^@C/Qb^@HFLM*DHW/KW/%@Y/Cf* Y%CW*8WY^?HW+/WFHFC@F/W%HFY/Wc^@HFCd*^H/Wd@^>@F@^@CF+!HbF+? Wf%HF+@^@HFYY%HDKC/^/LC!/@^Y@DKC/MDH+/C5HW^>/Y/^^C@F<H5YbYK/F? Y@HFO fF%>VYDH+/CdY%K!C/^H%K^bW/DHY^K>/FHD/FWF<@F<5WHD ^>/+@Cb^/C@D@^^H^>/K%B/+Y/+@D/F^OHKb^^>/b^>HWYVW/Y/W%>@F^>/ KWHK/WK/WYK/%^@c/*d//DK>Y@g/^>^^>/c@C!C/B@F/D^@%Y/+@D/F^^@HF DH+/CW/5/WY^HYbYK/FY@HFH5/QbC?Y@g/+>W+YK>/W/Y^>^Y/^^C/@F%HCbDF >c@F<F/@^>/W@FC/^YFHWHb^C/^YO bWW/Y/W%>@F^>/KWHA/%^
a>Y!//F+/cH^/+^H + ^>/D^>/D^@%CDH+/C@F<* + ^>/FCfY@YH5d/CC?KHY/+F/YYL/e@Y^/F%/F+bF@Qb/F/YYM* + ^>/+/Y@/D/Y*F+ + ^>/KKC@%^@HF^H/F<@F//W@F<KWH!C/DY 5HW Y/c/WC /e^/FY@HFY H5 ^>/ %CYY@%C B@F/D^@% DH+/C* @F%Cb+@F< YbYK/F? Y@HFY 5HWD@F< %HDKW/YY@!C/ Y/+@D/F^Y* 8C^W^@HF +/c@%/Y* %HF^@FbHbYCf HK/W? ^/+%CW@8/W?^>@%B/F/WbF@^Y*F+KHCf+@YK/WY/YbYK/FY@HFYO
C^>Hb<>CC^>/Y/ /e^/FY@HFYW/!Y/+HF/F<@F//W@F<KKC@%^@HFY*^>/f/e>@!@^cW@/^fH5@F? ^W@/D^@%C KWHK/W^@/Y* Yb%> Y FHFC@F/W +@6bY@HF /Qb^@HFYd@^>Y^WHF<^fK/+/+@Y%HF^@FbHbY :be*F+Y^WHFW/<@HFYd>/W/ >fK/W!HC@%@^f@YCHY^O HY^H5^>@YW/Y/W%>dYFH^KW^H5^>/HW@<@FCKWHA/%^KWHKHYC*!b^ /D/W%HCC//? D^@%YF+/F<@F//W@F<*Kb!C@%KW/Y/F^^@HFY*%HDD/F^YHFKb!C@Y>/+dHWB* F+^>/+K^^@HFH5@+/YYB/^%>/+@FKK/WY!fH^>/WYO^CYH^bWF/+Hb^ ^>^^>/W/YbC^Y%HbC+CYH!/bY/+5HWH^>/WKKC@%^@HFY*Yb%>Y^W7%DH+? /CY"_9*;[*;0#F+KHKbC^@HF!CF%/DH+/CYH5!CCd/W@F<W@F+@F<D@CCY ";a#OF++@^@HF*YHD//D^@%CFCfY@Y>c/ !//FD+/@F"_h#O

_>/D_@%C I+/CZ 4IX _>/ /+@D/F__@IF I4 cZL/FZ@IFZ

G

9=G /1A 86E@1HE186 F /%^O a* d/ !W@/:f Hb^C@F/ ^>/ B@F/D^@% Y/+@D/F^^@HF DH+/C* ^>/ HW@<@FC W/Y/W%> KWH!C/D* /FbD/W^/ YHD/ H5 ^>/ Qb/Y^@HFY Y^^/+ DHW/ ^>F  +/%+/ / FYd/WY 5HbF+ +bW@F< W/%/F^ f/WYO
YfY^/D^@% W/c@/d H5 ^>/ W/Y/W%> K/W5HWD/+ 5HWDY ^>/ %HW/ H5 ^>@Y KK/W* F+ @Y Hb^C@F/+ @F /%^YO _2\O %> H5 ^>/Y/ Y/%^@HFY +/CY d@^> HF/ KW^@%bCW D^>/D^@%C HW /F<@F//W@F< YK/%^O 5 KW^@%bCW @F^/W/Y^ @Y ^>/ %Y/ H5  DHFH+@YK/WY/ YbYK/FY@HF d@^> HF/ Y@F/ HF/?+@D/FY@HFC :Hd H5 Yb%> D@e^bW/Y @F Y/c/WC +/c@%/Y* @F%Cb+@F< %CW@8/W?^>@%B/F/W bF@^Y L/%^O _OIM F+ KW/YYbW/ 8C^W^@HF L/%^O _OaMO / @CCbY^W^/ ^>/ FHF?Y^F+W+ 5/^bW/Y H5 /%> H5 ^>/Y/ DH+/CYZ FD/Cf*  +@Y%HF^@FbHbY :be F+  +@6bY@HF ^/WD @F ^>/ 5HWD/W F+  5W// !HbF+Wf @F ^>/ C^^/WO HFY@+/W@F< DH+/CY W/KW/Y/F^@F< Yb%> YK/%@C %Y/Y Y  <@c/F @FKb^* d/ YbDDW@g/ @F ^>/ Yb!Y/Qb/F^ Y/%^@HFY ^>/ D^>/D^@%C FCfY@Y ^>^ >Y !//F KKC@/+ ^H YHD/ H5 ^>/DO
CC DH+/CY %HFY@+/W/+ <@c/ W@Y/ ^H ^@D/?+/K/F+/F^ KW^@C +@6/W/F^@C /Qb^@HFY ^>^ >c/ %/W^@F FHF?Y^F+W+ 5/^bW/YO F KW? ^@%bCW* d/ W/c@/d W/YbC^Y 5HW ^>/ 5HCCHd@F< ^fK/Y H5 /Qb^@HFY) Y^WHFfK/W!HC@% %HFc/%^@HF?+@6bY@HF /Qb^@HFY L/%^O _O_MZ %HFY/Wc^@HF CdY* @F KW^ d@^> +@Y%HF^@FbHbY %H/7%@/F^Y L/%^O _O;MZ %HbKC/+ YfY^/DY H5 Y%CW /Qb^@HFY H5 ^>@Y B@F+ d@^> ++@^@HFC /Qb^@HFY H5 DH^@HF L!/@F< Y@D@CW ^H c@/W?^HB/Y /Qb^@HFYM* L/%^O _O9MO F /%^O ; KHCf+@YK/WY/ YbYK/FY@HFY W/ %HFY@+/W/+O F /%^O ;OI  /D^@%C DH+/C H5 YbYK/FY@HFY @Y Hb^C@F/+* d>@%> !/fHF+ ^>/ B@F/D^@% KKWH%> 5/^bW/Y !H^> F /e^/FY@HF ^H KW^@%C/Y d@^>  Y@g/ HW +/FY@^f +@Y^W@? !b^@HF LYH?%CC/+ KHCf+@YK/WY/ YbYK/FY@HFYM F+ ^>/ 5HWD^@HF H5 %HDKW/YY@!C/ Y/+@D/F^YO >/ +/W@c^@HF H5 ^>/ DH+/C Df Y//D 5@WCf %HDKC/e* !b^ ^>/ 8? FC /Qb^@HFY >c/ ^>/ +cF^^ d/ Df %HFc/F@/F^Cf W/5/W ^H CC YK/%@C DH+/CY LYf* 5HW DHFH+@YK/WY/ HW KHCf+@YK/WY/ YbYK/FY@HFY* d@^> HW d@^>Hb^ Y/+@D/F^ %HDKW/YY@!@C@^fM Y YK/%@C %Y/YO >/W/5^/W* W/YbC^Y 5HW YfY^/DY H5 %HFY/Wc^@HF CdY H5 D@e/+ >fK/W!HC@%?/CC@K^@% ^fK/ L/%^O ;OaM F+ QbY@C@F/W KW!HC@% YfY^/DY L/%^O ;O_M W/ W/c@/d/+O F /%^O 9* d/ ^bWF ^H ^>/ +/Y@/D/Y 5HW ^>/ +@6/W/F^ DH+/CYO >/Y/ Y%>/D/Y @F%Cb+/ 8F@^/ +@6/W/F%/* 5WHF^ ^W%B@F< F+ W/Ce^@HF D/^>H+Y* F+  c/Wf W/%/F^ DbC^@W/YHCb^@HF ^/%>F@Qb/ 5HW /7%@/F^ %HDKb^^@HF H5 +@Y%HF^@FbHbY YHCb^@HFYO HD/ W^>/W Y@DKC/ Y/+@D/F^^@HF F+ W/C^/+ DH+/CY 5HW Y@DbC^@HFY F+ KKC@%^@HFY >c/ !//F @DKC/D/F^/+ 5HW KW%^@^@HF/WY @F HW+/W ^H /F!C/ ^>/D ^H K/W5HWD Y@DbC^@HFY d@^>  bY/W?5W@/F+Cf ^HHCO >@Y %^@c@^f @Y !W@/:f YbD? DW@g/+ @F /%^O \O Hd/c/W* CC DH+/CY W/Qb@W/ ^>^ %/W^@F %HF%/F^W^@HF? +/K/F+/F^ D^/W@C?YK/%@8%* /DK@W@%C DH+/C 5bF%^@HFY W/ BFHdFO C/WCf* ^>@Y @F5HWD^@HF >Y ^H !/ H!^@F/+ 5WHD /eK/W@D/F^^@HF* d>@%> C/+Y ^H ^>/ KWH!C/D H5 KWD/^/W @+/F^@8%^@HFO /%/F^ %HF^W@!b^@HFY HF ^>/ FbD/W? @%C YHCb^@HF H5 ^>@Y @CC?KHY/+ @Fc/WY/ KWH!C/D W/ /QbCCf W/KHW^/+ @F /%^O \O

Ji

P/XX/Z*P, cX;/X*F+P P/F+CF+

@FCCf*/%^O\KW/Y/F^Y!W@/5+@Y%bYY@HFH5KKC@%^@HFYH5^>/D^>/D^@? %CF+FbD/W@%C^/%>F@Qb/Y@C/Y^b+f@F<Y/+@D/F^^@HFDH+/CY ^HW/C^/+DH+/CY@FC^/WF^@c/KKC@%^@HFYL/O
5 %)(3% +' + +)+%0-/0 60-)0%+)0

@Y^HW@%CCf* ^>/ D^>/D^@%C FCfY@Y H5 Y/+@D/F^^@HF KWH%/YY/Y !/<F d@^> ^>/ YK^@CCf HF/?+@D/FY@HFC B@F/D^@% Y/+@D/F^^@HF DH+/C +b/ ^H

fF%> "G_#* d>@%> C/+Y ^H  Y%CW FHF?C@F/W %HFY/Wc^@HF Cd d@^>  FHF? %HFc/e* YDHH^> :be?+/FY@^f 5bF%^@HFO
Y @Y d/CC BFHdF* YHCb^@HFY H5 Yb%> /Qb? ^@HFY W/ +@Y%HF^@FbHbY @F / K>fY@%CCf W/C/cF^ DHF< KHYY@!Cf Y/c/WC d/B YHCb^@HFYO L
%HDKW/>/FY@c/ ^W/^D/F^ H5 ^>/ B@F/D^@% Y/+@D/F? ^^@HF DH+/C @Y <@c/F @F ^>/ DHFH<WK>  .2 3@@.53 3 ,.0 3.3* "90#* d>@C/ ^>/ W^@%C/Y "9;* \;* \9# H6/W >@Y^HW@%C W/c@/dY HF Y/+@D/F^^@HF F+ ^>@%B/F@F< W/Y/W%>OM / FHd W/Y^^/ ^>/ !Y@% KWHK/W^@/Y H5 ^>/ B@F/D^@% Y/+@D/F^^@HF DH+/C* d>@%> W/KW/Y/F^ ^>/ Y^^/ H5 BFHdC/+/ !/<@FF@F< H5 HbW W/Y/W%>O >/ L@+/C@g/+M YbYK/FY@HF @Y %HFY@+/W/+ Y  %HF^@FbbD F+ ^>/ Y/+@D/F^^@HF KWH%/YY @Y W/KW/Y/F^/+ !f ^>/ %HF^@Fb@^f /Qb^@HF H5 ^>/ YHC@+ K>Y/) FL H P FU 2, LHM 3 h +

h 6 ] 6 + S 5 h +

LIM

d>/W/ H @Y ^>/ CH%C cHCbD/ 5W%^@HF H5 YHC@+Y Y  5bF%^@HF H5 >/@<>^ ] F+ ^@D/ S* F+ 2, LHM 3 HX: @Y ^>/ G3, @, (CF  3=.@G #C3@.53* d>/W/ X: @Y ^>/ YHC@+Y K>Y/ c/CH%@^fO >/ !Y@% YYbDK^@HF @Y ^>^ ^>/ CH%C YHC@+?C@Qb@+ W/C^@c/ c/CH%@^f @Y  5bF%^@HF H5 ^>/ YHC@+Y cHCbD/^W@% %HF%/F^W^@HF H HFCf* d>@%> 5HW !^%> Y/+@D/F^^@HF @F  %CHY/+ %HCbDF @Y /Qb@cC/F^ ^H Y^^@F< ^>^ X: 3 X: LHMO HW ^>/ Y/+@D/F^^@HF H5 F @F@^@CCf >HDH/W d@^> ^>/ @F@^@C %HF+@^@HF   5HW ] 3  +

h HL]+ hM 3 HG LaM 5HW h = ] =  +  H.D 5HW ] 3 h + d>/W/ @^ @Y YYbD/+ ^>^ ^>/ 5bF%^@HF 2, Y^@Y8/Y 2, LHM 3 h 5HW H 6 h HW H 2 H.D F+ 2, LHM = h 5HW h = H = H.D * d>/W/ H.D @Y ^>/ De@DbD YHC@+Y %HF%/F^W^@HFO >/ BFHdC/+/ YHCb^@HF %F !/ %HFY^Wb%^/+ !f ^>/ D/^>H+ H5 %>W%^/W@Y^@%YO H +/Y%W@!/ ^>/ !^%> Y/^^C@F< c/CH%@^@/Y H5 KW^@%C/Y @F W/C YbYK/FY@HFY H5 YDCC KW^@%C/Y* FbD/WHbY D^/W@C YK/%@8% %HFY^@^b^@c/

_>/D_@%C I+/CZ 4IX _>/ /+@D/F__@IF I4 cZL/FZ@IFZ 























,-



.

0





-, 0



 

JJ

1

3

!

4



!







 

















'









!

"



$



&

 

(

+

(

( )



























 

















#$



%

&





$# &



 

'

(



)

5



































 



























 



!

!

!

! "





















=

6







8

 :

;

<

;

>

?

@

UV

W

X

X VU

F

:

B

C

G

;

I A

Y

Z

K

[

\

K

J

D

F

;

E

F

G

G

F

P

F

Q

G

O G

O

H

:

I

J

K

L

I

M

N

G

R

T

R

:

R

S R

:

;

<

;

>

?

@

;

) %) I+/Z I4 Z/+@D/F__@IF ?J _I ?` "8J#P XID _>/ C/4_ _I _>/ X@;>_* _>/ 9cf LCI_* _>/ Z/__C@F; LCI_ Z>Ie@F; %>X%_/X@Z_@%Z F+ Z>I%B C@F/Z* F+ IF/ %IF%/F_X_@IF LXI7C/ M4IX I 3 I N X/ Z>IeF 4IX /%> DI+/P >IX+Z @F _>/ 9cf LCI_Z F+ Z>I%BZ @F _>/ Z/__C@F; LCI_Z >d@F; _>/ ZD/ ZCIL/Z X/ DXB/+ !g _>/ ZD/ ZgD!ICZ

/Qb^@HFY 5HW X: 3 X: LHM HW 2, LHM 3 HX: LHM d/W/ KWHKHY/+ LY// CYH "a_* [[* [0#MO >/ DHY^ 5W/Qb/F^Cf bY/+ @Y ^>/ /Qb^@HF +b/ ^H @%>W+YHF F+ B@ "Ih[#) W HLI : HM: 5HW h 6 H 6 I + 2, LHM 3 A5I+ L_M h 5HW H = h F+ H 5 I + d>/W/ W @Y ^>/ ^HB/Y c/CH%@^f* @O/O* ^>/ Y/^^C@F< c/CH%@^f H5  Y@F@Y /Qb^@HF >Y ^>/ @F%HFc/F@/F%/ ^>^ ^>/ Y/^^C@F< c/CH%@^f !/%HD/Y g/WH ^ ^>/ YHC@+Y %HF%/F^W^@HF H 3 I* d>@C/ /eK/W@D/F^CCf ^>@Y H%%bWY ^  De@DbD %HF%/F^W^@HF H.D !/^d//F hG\ F+ hG[O >bY >@F+/W/+ Y/^^C@F< 5bF%^@HFY ^>^ W/ +/Y@HbC+ !/ KW/5/WW/+ d>/F/c/W c@C!C/O H %HFY^Wb%^ ^>/ YHCb^@HF H5 ^>/ @F@^@C cCb/ KWH!C/D LIM* LaM* ^>/ D/^>H+ H5 %>W%^/W@Y^@%Y @Y /DKCHf/+O >@Y D/^>H+ @Y !Y/+ HF ^>/ KWHK<^@HF H5 * LHG L]G MM HG L]G M* ^>/ @F@^@C cCb/ KW/Y%W@!/+ ^ ] 3 ]G * ^ %HFY^F^ YK//+ 2,

Jb

P/XX/Z*P, cX;/X*F+P P/F+CF+

@F]c/WYbYS+@<WDO>/Y/Y^W@<>^C@F/Y*^>/,<@ <.=@.=*D@<>^@F^/W? Y/%^*d>@%>DB/YYHCb^@HFYH5LIM+@Y%HF^@FbHbY@F@Y@Y+b/^H^>/ FHFC@F/W@^fH5^>/:be+/FY@^f5bF%^@HF2, OF5%^*/c/F5HWYDHH^>@F@^@C +^* Y%CW%HFY/Wc^@HFCdd@^> FHFC@F/W:be +/FY@^f 5bF%^@HFDf KWH+b%/+@Y%HF^@FbHbYYHCb^@HFYOHHb^C@F/YHD/D@FKWHK/W^@/YH5+@Y%HF? ^@FbHbYYHCb^@HFYH5 LIM*d/%HFY@+/W^>/. 2337<51 2*d>/W/F@F@^@C 5bF%^@HF H8 5HW]5h + G HG L]M3 L;M " HG 5HW]=h %HFY@Y^@F<AbY^H5^dH%HFY^F^Y@YKW/Y%W@!/+O!c@HbYCf*^>/@F@^@C?cCb/KWH!? C/DLIM*LaM%HFY@Y^YH5^dH+A%/F^@/DFFKWH!C/DYKWH+b%@F<^dHU5FYV H5%>W%^/W@Y^@%YF++@Y%HF^@Fb@^@/Y*d>@%>@F^>@Y%Y/Y^W^^H@F^/W%^5^/W 8F@^/^@D/ S3 O
^+@Y%HF^@Fb@^@/Y*LIM@YFH^Y^@Y8/+F+@YW/KC%/+!f^>/ 30.3 -C*53.5@53[email protected]*d>@%>%HWW/YKHF+Y^H^>/HW@<@FC%HFY/Wc^@HF CdF+Y^^/Y^>^^>/CH%CKWHK<^@HFc/CH%@^fQLH8 +H" MH5+@Y%HF^@Fb@^f !/^d//F^>/YHCb^@HFcCb/YH8 !Hc/F+H" !/CHd^>/+@Y%HF^@Fb@^f@Y<@c/F !f 2, LH8 M : 2, LH" M QLH8+H" M3 G L9M H8 : H"

Hd/c/W* +@Y%HF^@FbHbY YHCb^@HFY Y^@Y5f@F< LIM ^ KH@F^Y H5 %HF^@Fb@^f F+ ^>/ FB@F/? b@Y W/YHF* F ++@^@HFC +D@YY@!@C@^f %W@^/W@HF @Y F/%/YYWf ^H Y/C/%^ ^>/ K>fY@%CCf W/C/cF^ +@Y%HF^@FbHbY YHCb^@HFO F/ H5 ^>/Y/ /F^WHKf %W@^/W@* d>@%> +/^/WD@F/ ^>/ bF@Qb/ d/B YHCb^@HF F+ %>W%^/W@g/ @WW/c/WY@!@C@^f* @Y C/$.F@BVY AbDK %HF+@^@HF W/Qb@W@F< ^>^ QLH+ H" M 2 QLH8 + H" M 2 QLH+ H8 M

5HW CC H !/^d//F H" F+ H8 O

L\M

>@Y %HF+@^@HF @Y Y^@Y8/+ @5 F+ HFCf @5* @F F 2, c/WYbY H KCH^* ^>/ %>HW+ AH@F@F< ^>/ KH@F^Y LH8 + 2, LH8 MM F+ LH" + 2, LH" MM W/D@FY !Hc/ ^>/ <WK> H5 2, 5HW H8 = H" F+ !/CHd ^>/ <WK> 5HW H8 5 H" O @Y%HF^@Fb@^@/Y Y^@Y5f@F< !H^> L9M F+ L\M W/ %CC/+ =,50=O 5* @F ++@^@HF* * * LH" M 3 QLH8 + H" M HW 2, LH8 M 3 QLH8 + H" M + 2,

L[M

^>/ Y>H%B @Y %CC/+  53@@ .=mail protected].@GO F ^>^ %Y/ ^>/ %>HW+ @Y ^F/ <WK> H5 2, @F ^ C/Y^ HF/ H5 @^Y /F+KH@F^YO 5 d/ YYbD/ ^>^ H" G = HG " 8 * F+ ^>^ 2, LHM 5 h 5HW HG 6 H 6 HG * @^ 5HCCHdY ^>^ FH Y>H%B %F !/ 8 %HFY^Wb%^/+ !/^d//F H" G F+ HG O F ^>^ %Y/* ^>/ @/DFF KWH!C/D LIM* L;M >Y  %HF^@FbHbY YHCb^@HF  8 *  LH8 5HW ] 5 2,

HG G MS * " * "3 * * L0M HL]+ SM 3 L2, M L]RSM 5HW 2, LHG MS 6 ] 6 2, LH8 G MS *  " " * HG 5HW ] = 2, LHG MS *

_>/D_@%C I+/CZ 4IX _>/ /+@D/F__@IF I4 cZL/FZ@IFZ

J`

8 * * "3 d>/W/ L2, M @Y ^>/ @Fc/WY/ H5 2, W/Y^W@%^/+ ^H ^>/ @F^/WcC "H" G + HG #O >@Y YH? Cb^@HF @Y %CC/+  << #@.53 ED F+ @Y ^>/ bF@Qb/ K>fY@%CCf W/C/cF^ d/B YHCb^@HF H5 ^>/ @/DFF KWH!C/DO
K@/%/d@Y/ %HF^@FbHbY 5bF%^@HF Y^@Y5f@F< ^>/ %HFY/Wc^@HF Cd LIM ^ KH@F^Y H5 %HF^@Fb@^f F+ L9M F+ L\M ^ +@Y%HF^@Fb? @^@/Y @Y bF@Qb/O HW ^>/ KWH!C/D H5 Y/+@D/F^^@HF H5 F @F@^@CCf >HDH  YHCb^@HF %F !/ /eKC@%@^Cf %HFY^Wb%^/+ !f ^>/ D/^>H+ H5 %>W%^/W@Y^@%YO HW /eDKC/* 5HW  :be +/FY@^f 5bF%^@HF 2, d@^> bK ^H ^dH @F:/%^@HF KH@F^Y* ^>/W/ W/ Y/c/F QbC@^^@c/Cf +@6/W/F^ YHCb^@HFY* +/FH^/+ %%HW+@F< ^H "G_# Y 5 = 5#  .2 3@@.53O HW ^>/ Y@DKC/Y^ %Y/ H5  5bF%^@HF 2, d@^> /e%^Cf HF/ @F:/%^@HF KH@F^* ^>W// H+/Y H5 /+@D/F^^@HF H%%bW* Y// @/ 5HWDbC^@HF H5 +D@YY@!@C@^f %HF+@^@HFY 5HW DHW/ / %HF%/K^ H5 3@<57G E 0 [email protected]=O Wb&gBHc KW/Y/F^/+ @F "GI#  VY ^>/HWf @F^H ^>/ Y^^/ H5 ^>/ W^ H5 D^>/D^@%C FCfY@YO F  Y/W@/Y H5 KK/WY* YbDDW@g/+ @F >KO [ H5 "90#* @^ dY %HF8WD/+ ^>^ ^>/ BFHdF YHCb^@HFY %HFY^Wb%^/+ @F "0_* II0# W/ @F+//+ YK/%@C %Y/Y H5 /F^WHKf d/B YHCb^@HFYO ^@C@g@F< ^>/ D/^>H+ H5 %>W%? ^/W@Y^@%Y* @^ dY KHYY@!C/ ^H /e^/F+ ^>/ %HFY^Wb%^@HF H5 DH+/Y H5 Y/+@D/F^^@HF ^H fF%> !^%> :be +/FY@^f 5bF%^@HFY d@^> ^dH F+ DHW/ @F:/%^@HF KH@F^YO F IG[9 /^^f "Ih9# D+/ F ^^/DK^ ^H /e^/F+ fF%>VY ^>/HWf ^H %HF^@Fb? HbY Y/+@D/F^^@HFO >/ !Y@% +@6/W/F%/ ^H !^%> Y/^^C@F< @F  %fC@F+W@%C c/YY/C H5 >/@<>^  @Y ^>^ ^>/ bKK/W /F+ ] 3  @Y @+/F^@8/+ d@^>  5//+ @FC/^ F+ ^>/ CHd/W ] 3 h d@^>  +@Y%>W/ c/YY/C @Y 5/+ %HF^@FbHbYCf d@^> 5//+ YbYK/FY@HF ^ ^>/ @FC/^ LYbW5%/ YHbW%/M F+ +@Y%>WWHb<> ^>/ Hb^C/^ LYbW5%/ Y@FBMO >/ Hc/W:Hd H5 %C/W C@Qb@+ @Y FH^ /eKC@%@^Cf DH+/C/+O 5 L 3 LLSM @Y +/8F/+ Y ^>/ cHCbD/ :Hd W^/ H5 ^>/ D@e^bW/ K/W bF@^ W/* d>@%> %F !/ KW/Y%W@!/+* ^>/F fF%>VY /Qb^@HF 5HW %HF^@FbHbY Y/+@D/F^^@HF %F !/ dW@^^/F Y 2 + FL H P FU LLSMH P 2, LHM 3 h G LGM

^W^@F< 5WHD /^^fVY DH+/C "Ih9#* bY^HY* HF%> F+ /F+CF+ "9G# Y^b+@/+  c/Wf Y@DKC/ DH+/C 5HW %HF^@FbHbY Y/+@D/F^^@HF* @F d>@%> LGM @Y W/Y^W@%^/+ ^H  YK%/ @F^/WcC "h+ # d@^> @W@%>C/^ !HbF+Wf %HF+@^@HFY ^ ] 3 h F+ ] 3 O >/ KWH!C/D @Y d/CC KHY/+ @5 ^>/ !HbF+Wf %HF+@^@HFY W/ W/?@F^/WKW/^/+ Y Y/^?cCb/+ /F^WHKf !HbF+Wf %HF+@^@HFY "\I#O eK/W@D/F^C /c@+/F%/ +/DHFY^W^/+ ^>^ d>@C/ fF%>VY ^>/HWf %%bW^/Cf KW/+@%^Y ^>/ Y/+@D/F^^@HF !/>c@HW H5 YbYK/FY@HFY H5 /QbCCf Y@g/+ YDCC W@<@+ YK>/W@%C KW^@%C/Y* ^>@Y @Y FH^ ^>/ %Y/ 5HW :H%%bC/F^ YbYK/FY@HFY 5HWD@F< %HDKW/YY@!C/ Y/+@D/F^YO HW Yb%> D@e^bW/Y*  B@F/D^@% DH+/C @Y FH CHF/ %HF%/K^ H5 /6/%^@c/ YHC@+ Y^W/YYO F/ ^>/F H!^@FY  Y^WHF/ YbKKC/D/F^ ^H LIM !f F ++@^@HFC +/? VY

J:

P/XX/Z*P, cX;/X*F+P P/F+CF+

^>/HWf"9\#O>/W/YbC^@F</Qb^@HFLW/KC%@F<LGMM%F!/Y^^/+Y + 2 @ FHPF L U L LSMHP 2 , LHM 3 FU
LHM + d@^>

'
LHM)3

A

$LPM +P+ $LHM)3: G

2, LHMQLHM  + O3H

LIhM

LIIM

d>/W/ O 5 h @Y ^>/ YHC@+?:b@+ +/FY@^f +@6/W/F%/* 3 @Y ^>/ %%/C/W^@HF H5 <Wc@^f* F+ Q @Y ^>/ /6/%^@c/ YHC@+ Y^W/YY 5bF%^@HFO ^ @Y YYbD/+ ^>^ ^>/ KW^@%C/Y ^Hb%> /%> H^>/W ^  %W@^@%C %HF%/F^W^@HF H . "h+ H.D #* F+ ^>^ ^>/ /6/%^@c/ YHC@+ Y^W/YY Q F+ @^Y +/W@c^@c/ Q* Y^@Y5f 3 h 5HW H 6 H * * Q LHM + Q LHM LIaM 5 h 5HW H 5 H O F+/W ^>/ YYbDK^@HFY LIIM F+ LIaM* F+ d>/F L_M @Y bY/+* LIhM @Y  Y/%HF+? HW+/W KW!HC@%  ^>^ +/fK/W!HC@% ^fK/ 5HW H 6 H O @F%/ ^>/ ^fK/ +/* LIhM @Y %CC/+ Y^WHF/ !Y@% +@7%bC^f @Y ^>^ ^>/ CH%^@HF H5 ^>/ ^fK/?%>F/W/ H 3 H * @Y FH^ BFHdF !/5HW/>F+O ^WHF/ ^@D/ H5 ^>/ @F@^@C KWHA/%^ KWHKHYC* F+ ^>/ D@F DH^@c^@HF H5 HbW W/Y/W%> dY ^H KWHc@+/  d/CC?KHY/+F/YY FCfY@Y 5HW ^>@Y /Qb^@HF* ^H +/Y@H+Y 5HW @^Y YHCb^@HF* F+ ^H KKCf ^>/D ^H KW%^@%C Y@DbC^@HFYO /5HW/ 5HWDbC^@F< YHD/ YK/%@8% KWH!C/DY +bW@F< ^>/ @F@^@C Y^/ KWHA/%^ C/^ bY KH@F^ Hb^ ^>^ LIhM dY W/Y^W@%^/+ ^H  8F@^/ C/F<^> @F^/WcC "h+ #* %HWW/YKHF+@F< ^H ^>/ YH?%CC/+ @+/C %HF^@FbHbY ^>@%B/F/WO
^ ] 3 * @^ dY KW/YbD/+ ^>^ ^>/ %HF%/F^W^@HF %F !/ /eKC@%@^Cf KW/Y%W@!/+ Y HL+ SM 3 H LSM +

S . Lh+  # +

LI_M

d>@C/ ^ ] 3 h* ^>/ ^H^C :be @Y W/+b%/+ ^H @^Y %HFc/%^@c/ KW^* @O/O LLSMH P 2, LHM : FU
LHM 3 LLSMH

^

]3h*

d>@%> W/+b%/Y ^H ^>/ !HbF+Wf %HF+@^@HF 2, LHM : FU
LHM 3 h ^

]3hO

LI;M

^ @Y 5bW^>/WDHW/ YYbD/+ ^>^ F @F@^@C %HF%/F^W^@HF @Y <@c/F) HL]+ hM 3 HG L]M +

] . "h+ # G

LI9M

Qb^@HFY LIhM F+ LI_M2LI9M 5HWD F @F@^@C?!HbF+Wf cCb/ KWH!C/D LM 5HW %HF^@FbHbY Y/+@D/F^^@HF H5  :H%%bC^/+ YbYK/FY@HF* d>@%> 5HWDY %HD? KW/YY@!C/ Y/+@D/F^YZ @F Y>HW^* ^>@Y  DH+/CY = .2 3@@.53 E.@, 527< ==.53O H^/ ^>^ @^ @F%Cb+/Y ^>/ KWH!C/D H5 !^%> Y/^^C@F< H5  YbYK/FY@HF d>/F? /c/W d/ Y/^ L 0 h F+ H 0 h* F+ ^>^ ^>/ %HFc/F^@HFC fF%> FCfY@Y @Y @F%Cb+/+ 5HW
0 hO >@Y KWH!C/D 5HWD/+ ^>/ Y^W^@F< KH@F^ H5 HbW W/Y/W%>* d>@%> dY 5H%bY/+ HF ^>/ 5HCCHd@F< Qb/Y^@HFY)

_>/D_@%C I+/CZ 4IX _>/ /+@D/F__@IF I4 cZL/FZ@IFZ

J8

M Y @^ KHYY@!C/ ^H /e^/F+ /e@Y^@F< FCfY/Y H5 @F@^@C?!HbF+Wf cCb/ KWH!C/DY 5HW %HFY/Wc^@HF CdY "a* [h# Y d/CC Y /WCf KKWH%>/Y ^H ^>/ /e@Y^/F%/ F+ bF@Qb/F/YY FCfY@Y H5 Y^WHF/  LIhM* LI_M2LI9MR Hd +H/Y ^>/ %HF%/K^ H5 /F^WHKf YHCb^@HFY CHHB C@B/ >/W/R F KW^@%bCW* >Hd +H/Y ^>/ %HF%/K^ H5 /F^WHKf !HbF+Wf %HF+@^@HFY KKCf >/W/R !M F HF/ +/Y@/D/ 5HW ^>/  F+ KWHc/ @^Y %HFc/W/ W/YbC^Y H5 LM F+ L!M ^H 5HWDbC^/  %HF^WHC KWH!? C/DR +M F ^>/ DH+/C F+ @^Y FCfY@Y !/ /e^/F+/+ ^H Y/c/WC YK%/ +@D/FY@HFYR bW@F< ^>/ %HbWY/ H5 ^>/ KWHA/%^* ^>/Y/ Qb/Y^@HFY >c/ !//F +/C^ d@^> @F ^>/ 5HCCHd@F< dfO M
FCfY/Y H5 Y^WHF/ !/? <@FF@F< H5 ^>/ b^>HWYV W/Y/W%> @F%Cb+/+ ^>/ KK/WY !f HCK/W^ "II\# F+ HCK/W^ F+ b+A/c "II[# Kb!C@Y>/+ @F ^>/ C^/ IG\hY* F+ %HF^W@!b^@HFY !f b >bHQbF F+ >@Y %HCC!HW^HWY 5WHD ^>/ IG0hY "Iah* IaI* Iaa* Ia_#O >/ FCfY@Y H5 ^>/  LIhM* LI_M2LI9M dY ^>/ ^HK@% H5 ^>/ Y/%HF+ b^>HWVY +H%^HWC dHWB "I9#* 8F@Y>/+ @F IGG\* d>@%> <c/ W@Y/ ^H ^>/ K? K/WY "9a* 9_#O >/ /e@Y^/F%/ KWHH5 5HW  HW^* /F^WHKf YHCb^@HFM* %>W%^/W@g/+ !f

Wb&gBHc /F^WHKf 5bF%^@HFY* dY !Y/+ HF ^>/ cF@Y>@F< c@Y%HY@^f D/^>H+O >/ bF@Qb/F/YY KWHH5 5HW ^>@Y KWH!C/D @Y !Y/+ HF ^>/ AbDK %HF+@^@HF /Y^!C@Y>/+ @F "Ia_# F+ W/C@/Y HF ^>/ YYbDK^@HF H5  YDHH^> +@6bY@HF %H/7%@/F^O
%HWW/%^ 5HWDbC^@HF H5 ^>/ !HbF+Wf %HF+@^@HFY C/+Y ^H Y/^? cCb/+ YH?%CC/+ /F^WHKf !HbF+Wf %HF+@^@HFY "9a#O F5HW^bF^/Cf* DHY^ +@6bY@HF %H/7%@/F^Y $LHM 5HW ^>/ Y/+@D/F^^@HF? %HFYHC@+^@HF DH+/C +H FH^ Y^@Y5f ^>/Y/ YDHH^>F/YY YYbDK^@HFYO F "a[# F @DKWHc/+ c/WY@HF H5 ^>/ FCfY@Y H5 "9_# @Y KW/Y/F^/+* F+ @^ @Y Y>HdF ^>^ ^>/ c@Y%HY@^f D/^>H+ CYH >F+C/Y /c/F +@Y%HF^@FbHbY +@6bY@HF %H/5? 8%@/F^Y F+ +H/Y FH^ C/+ ^H F/d Y@F/ bF@Qb/F/YY H5 ^>/ F@Qb/O >/ %>H@%/ H5 ^>/ YHCb^@HF YK%/  * d>@%> 5HWD/+ ^>/ !Y@Y H5 ^>/ d/CC? KHY/+F/YY FCfY/Y @F "a[* 9_#* ^bWF/+ Hb^ ^H !/  Y/c/W/ W/Y^W@%^@HF 5HW ^>/ ^^/DK^ ^H / W/YbC^Y H5 ^>/Y/ KK/WY ^H H^>/W @F@^@C?!HbF+Wf cCb/ KWH!C/DY* @F%Cb+@F< YK^@CCf DbC^@?+@D/FY@HFC KWH!C/DYO F KW^ @F? YK@W/+ !f "IhI#* d/ b^@C@g/+ ^>/ DHW/ / FCfY@Y H5  5W// !HbF+Wf 5HW  KWH!C/D H5 KW/YYbW/ 8C? ^W^@HF "_I#* Y// CYH /%^O _O_O ^ Y//DY +@7%bC^ ^H /e^/F+ ^>@Y KKWH%> ^H DbC^@?+@D/FY@HFC +/ g/WH :be !HbF+Wf %HF+@^@HFY* !b^ Y// "_h# 5HW  KW^@C W/YbC^O

J]

P/XX/Z*P, cX;/X*F+P P/F+CF+

>Hb<>/F^WHKf!HbF+Wf%HF+@^@HFY/FYbW/d/CC?KHY/+F/YYH5^>/@F@^@C? !HbF+WfcCb/KWH!C/DLIhM*LI_M2LI9M"9a#*@^^bWF/+Hb^^>^^>/Y/%HF? +@^@HFYW/bFK>fY@%C+b/^H^>/c@HC^@HFH5%HFY/Wc^@HFH5DYY*F+ Y>HbC+!/W/KC%/+!fg/WH?:beHW:be?^fK/!HbF+Wf%HF+@^@HFYOHW^>@Y W/YHF*d/FCfg/+@F"a[#@FKWCC/CY/%HF+*@Fd>@%>^>/!HbF+? Wf%HF+@^@HFLI_M@YW/KC%/+!f LLSMHP2, LHM: FU
LHM3 LM S ^ ]3+

LI\M

d>/W/ LSM@Y!HbF+Wf5//+:beO/CC?KHY/+F/YYH5^>/LIhM*LI;M* LI9M*LI\M@YY>HdF@F"a[#Z^>@Y@F%Cb+/Y^>/g/WH?:be@F@^@C?!HbF+WfcCb/ KWH!C/D5HW!^%>Y/^^C@F<^^@F/+!fY/^^@F<L 0 hF+0 hO ^Y>HbC+!//DK>Y@g/+^>^5HW^>/LIhM*LI;M*LI9M*LI\Md@^>:be? cCb/+!HbF+Wf%HF+@^@HFY*^>/!HbF+Wf%HF+@^@HFYW/CDHY^CdfY Y^@Y8/+@FKH@F^d@Y/Y/FY/*d>@%>DB/Y/F^WHKf!HbF+Wf%HF+@^@HFY bFF/%/YYWfO@FCCf*C/^bY%HDD/F^^>^^>/Qb/Y^@HFH5!HbF+Wf%HF+@? ^@HFY/eK/W@/F%/+FH^>/W^bWF@FW/%/F^f/WYO@F%/DH+/C@F<%HF^@FbHbY Y/+@D/F^^@HF^>WHb<>5//+F++@Y%>W/ /^^f?bY^HYDH+/C "9G* \I* Ih9#M @Y bFK>fY@%C* 5//+ F+ +@Y%>WF@YDYY>HbC+!//eKW/YY/+!fY@F/ d/CC?KHY/+F/YY FCfY@Y >+ !//F %HDKC/^/+ "I9* 9a* 9_#* HbW /6HW^Yd/W/ +@W/%^/+^H ^>/ +/c/CHKD/F^H5FbD/W@%C Y%>/D/Y5HW LIhM* LI_M2LI9MLF+@^YcW@F^YMOF^>/KK/WY"I[*I0*a0#*HK/W^HW?YKC@^^@F< 8F@^/+@6/W/F%/Y%>/D/Yd/W/bY/+5HWFbD/W@%CY@DbC^@HFYH5^>/KWH!? C/D*!b^^>/fd/W/Y^@CCC%B@F<W@/FCfY@Y H5 8F@^/ +@6/W/F%/ Y%>/D/Y 5HW Y^WHF/KK/W!fcA/F+ WCY/F"[a#*d>HKWHc/+ %HFc/W/D/^HF/F^WHKfYHCb^@HF 5HW^>/@F@^@C?!HbF+WfcCb/KWH!C/DH5Y^WHFHb<>^>@Y Y%>/D/%HbC+!/ /Y@Cf+K^/+ ^H^>/ LIhM*LI;M*LI9M*LI\M*Y//"_;#*@^dYFH^H!c@HbY>Hd^H+/Cd@^> !HbF+Wf%HF+@^@HFYO>@YKWH!C/DdYYHCc/+c/WfW/%/F^Cf@F"a;*a9#* d>/W/%HFc/W? H+Y^HF/F^WHKfYHCb^@HF@YKWHc/+O///%^O9OI5HW+/^@CYO %M b/^H@^Y@FcHCc/+FHFC@F/WF+Y^WHF/  LIhM* LI_M2LI9M F+ @^Y cW@F^Y +H FH^ +D@^ /e%^ YHCb^@HF %HFY^Wb%^@HFYO^Y//DY^>/W/5HW/@DKHYY@!C/^HKW/%@Y/CfKW/+@%^^>//6/%^ H5%HF^WHC%^@HFY*Yb%>Y%>F/5//+:be*Y@YKHYY@!C/5HW^>/ B@F/D^@%Y/+@D/F^^@HFDH+/C"\h#O Hd/c/W*^>//6/%^H5%HF^WHC%^@HFY* @FKW^@%bCW%>F/%CW@8/W?^>@%B/F/WDH+/C*@F"aa*;I*;9#O >/KWH!C/DH5HK^@DC%HF^WHC*5HW/eDKC/d@^>^>/@D^HDe@D@g/ ^>/ YHC@+Y^>WHb<>Kb^HW^H D@F@D@g/ ^>/ 8CC?bK^@D/* >YFH^f/^!//F ^W/^/+O

_>/D_@%C I+/CZ 4IX _>/ /+@D/F__@IF I4 cZL/FZ@IFZ

J\

+M H Hc/W%HD/ ^>/ %HF%/K^bC HF/?+@D/FY@HFC@^f H5 ^>/ fF%> DH+/C* d/ 5HWDbC^/+ @F "I\* 99* 9\#  F@%C ^>/HWf H5 Y/+@D/F^^@HF?%HFYHC@+^@HF KWH%/YY/Y H5 YbYK/FY@HFY H5 8F/* :H%%bC^/+ KW^@%C/Y @F  c@Y%HbY :b@+O
%%HW+@F< ^H ^>/ ^>/HWf H5 D@e^bW/Y* ^>/ DH+/C 5HWDbC^@HF @Y !Y/+ HF ^>/ DYY F+ C@F/W DHD/F^bD !CF%/Y H5 ^>/ YHC@+ F+ ^>/ :b@+ %HDKHF/F^YO >/F* 5HW %CHY@F< ^>/ YfY^/D* %HFY^@^b^@c/ YYbDK^@HFY W/ @F^WH+b%/+* F+ ^>/ /Qb^@HFY W/ Y@DKC@8/+ 5HCCHd@F<  +@D/FY@HFC FCfY@YO >/ W/YbC^@F< DH+/C @Y  ^HB/Y? HW c@/W?^HB/Y? C@B/ YfY^/D H5 /Qb^@HFY 5HW ^>/ L@F%HDKW/YY@!C/M :Hd H5 ^>/ D@e^bW/* d>@%> @Y %HbKC/+ ^H  Y^WHFfK/W!HC@% QbY@C@F? /W %HFc/%^@HF?+@6bY@HF /Qb^@HF 5HW ^>/ CH%C YHC@+Y cHCbD/ 5W%^@HFO >@Y DH+/C dY C^/W /e^/F+/+ ^H KHCf+@YK/WY/ YbYK/FY@HFY @F "II#O F /%^O ;OI d/ !W@/:f Hb^C@F/ ^>/ / KHCf+@YK/WY/ %Y/* F+ ^>/F W/5/W ^H DHFH+@YK/WY/ YbYK/FY@HFY Y  YK/%@C %Y/O

4 +'%$%.6% -/3%+) F ^>@Y Y/%^@HF C/^ bY %HFY@+/W HF/ YK%/ +@D/FY@HF* 5HW d>@%> L_;M @Y ^>/ / /W/ ^>/ +@6bY@HF 5bF%^@HF
L@M @Y <@c/F !f LIIM F+ LIaMO 5 W/+b%/+ ^H HF/ YK%/ +@D/FY@HF HFCf* ^>/ D@e^bW/ :Hd @Y %HDKC/^/Cf +/^/W? D@F/+ !f !HbF+Wf %HF+@^@HFYO >/ FHF?Y^F+W+ KWHK/W^f H5 ^>@Y /Qb^@HF @Y ^>/ YHCb^@HF?+/K/F+/F^ KW!HC@%?>fK/W!HC@% ^fK/ +/@Y YK^@CCf HF/?+@D/FY@HFC DH+/C C/+Y ^H @F@^@C HW @F@^@C?!HbF+Wf cCb/ KWH!C/DY 5HW Y^WHF/ %/F^W@5b<^@HF "IG# F+ KW/YYbW/ 8C^W^@HF "aI# H5 :H%%bC^/+ YbYK/FY@HFYO >/ C^^/W %Y/ @FcHCc/Y  5W// !HbF+Wf KWH!? C/DO >/Y/ DH+/CY W/ @CCbY^W^/+ @F "I0* IG* aI# !f FbD/W@%C Y@DbC^@HFY* @F KW^ ^B@F< @F^H %%HbF^ Kb!C@Y>/+ /eK/W@D/F^C +^O
YbDDW@g@F< ^>/HWf H5 ^>/ YHC@+?C@Qb@+ Y/KW^@HF H5 YbYK/FY@HFY %F !/ 5HbF+ @F "0I#O >@Y DH+/C %F !/ /e^/F+/+ ^H c/YY/CY d@^> cWf@F< %WHYY?Y/%^@HFC W/ "a\#* d>@%> HK/FY F/d +/Y@^
0 hO >/ HF/?+@D/FY@HFC Y/+@D/F^^@HF DH+/C !f fF%> "G_# W@Y/Y Y  YK/%@C %Y/ H5 ^>/ /HWfO HW ^>/ %HF^@FbHbY Y/^^C@F< H5 F @+/C YbYK/FY@HF @^ C/+Y ^H ^>/ %HFY/Wc^@HF Cd + 2 LI[M FL W P FR LLZ+ SMW P 6LWM 3 h + d>/W/ ^>/ YHC@+Y %HF%/F^W^@HF W cW@/Y d@^> +/K^> Z F+ ^@D/ S* F+ LLZ+ SM @Y ^>/ CH%C D@e^bW/ c/CH%@^fO H !/ %HFY@Y^/F^ d@^> QbH^/+ Kb!C@%^@HFY* ^>/ YfD? !HC H 5HW ^>/ CH%C YHC@+Y %HF%/F^W^@HF @Y W/KC%/+ !f W F+ 2, LHM !f :6LWMO

J0

P/XX/Z*P, cX;/X*F+P P/F+CF+  

 









 













"











 

 



*



+

,

*

)

-

+



%

/



%



)

7

9

;

<

=

?

9















7

?

C



D



9

F





C





?

































































O

 #







%

0

4

*

%

2





)



4

K









)

4

4

5

-

4

+



%

*

 

X



) 

*



*



#



-















+

%





-















 










;



C



Q









9

M

S

9

M

?




































7

9

;



<

=

I

?

H



?



?



C





K



?

O

O

O

O

O

P

P

P

P

P



Y

I

H

-

0

+



)

%

+

%

2

/



%

?

?



9

M



?

M



C







9

M

N



1









T

?

M



M



S

9

M

?

X

P

P










7 

#

%









"













9

;

<

=

?











C



?

C





?






?

U





W





















) 1) M( CX@7/X?_>@%B/F/X e@_> dX@!C/ %IF_@F/X %XIZZ Z/%_@IF "`G#* '( @+/C %CX@7/X?_>@%B/F/X e@_> %IFZ_F_ %XIZZ Z/%_@IF ":J#

>/ Y@DKC/ DH+/C 5HW %HF^@FbHbY Y/+@D/F^^@HF H5 "9G# W/+b%/Y LI[M ^H F @F^/WcC* Yf Z . "h+ #* %HWW/YKHF+@F< ^H  %fC@F+W@%C %HF^@F/WO
^ ^>/ ^HK Z 3 h ^>/W/ @Y F @F:Hd F+ ^ ^>/ !H^^HD Z 3  ^>/W/ @Y  +@Y%>W/ ^>@%B/F/+ Y/+@D/F^O ^ @Y YYbD/+ ^>^ ^>/ ^>@%B/F/W @Y 5/+ %HF^@FbHbYCf !f ^>/ @F:Hd F+ +@Y%>WWHb<> ^>/ KCb<>HC/O >/ D@e^bW/ c/CH%@^f L 3 L LSM @Y  5bF%^@HF H5 ^@D/ HFCf* d>/W/ L %F !/ %HF^WHCC/+ ^ ^>/ !H^^HD +@Y%>W/W d@^> @W@%>C/^ !HbF+Wf %HF+@^@HFY* d>/W/ YH?%CC/+ /F^WHKf !HbF+Wf %HF+@^@HFY W/ bY/+ @F HW+/W ^H Y>Hd /e@Y^/F%/ F+ bF@Qb/F/YY H5 /F^WHKf YHCb^@HFYO >@Y DH+/C* d>@%> %F !/ ^W%/+ !%B ^H /^^f "Ih9#* >Y YHD/ DAHW +@Y+cF^/ C%B H5  Y !//F W/%H^ @W@%>C/^ !HbF+Wf %HF+@^@HFY W/ K>fY@%CCf bFW/C@Y^@%* /c/F ^>Hb<> ^>/f C/+ ^H  D^>/D^@%CCf d/CC?KHY/+ KWH!C/DO >/f Y>HbC+ !/ W/KC%/+ !f ^>/ %>F/ ^WFYKHW^ :be LLZ+ SMW F+ ^>/ %HDKHY@^/ :be LLZ+ SMW P 6LWM* d>@%> C/+Y ^H  KbW/ @F@^@C cCb/ KWH!C/DO HW/Hc/W* ^>/ 5//+ YbYK/FY@HF Y>HbC+ !/ 5/+  @E 3 ^>/ +@Y%>W/ Y/+@D/F^ +@Y%>W/ !H^^HD F+ ^>/ Hc/W:Hd ^ ^>/ ^HK H5 ^>/ %HF^@F/WO >/F ^>/ HF/?+@D/FY@HFC DH+/C@F< C/+Y ^H F bKdW+?+@W/%^/+ D@e^bW/ c/CH%@^f L 6 h !Hc/ F+  +HdFdW+?+@W/%^/+ c/CH%@^f L 2 h !/CHd ^>/ 5//+ C/c/CO >/ 5//+ YHbW%/ @^Y/C5 @Y +/Y%W@!/+ !f  Y@F S%CW@8/W?^>@%B/F/WYT >c/ !//F KWHKHY/+ !f Y/c/WC b^>HWY @F%Cb+@F< "\a* G9# F+ >c/ !//F FCfg/+ ^>HWHb<>Cf @F KW^@%bCW !f @/>C LY// "\0* \G# F+ ^>/ W/5/W/F%/Y ^>/W/@FMO H YB/^%> ^>/ D^>/D^@%C DH+/CY d/ %HFY@+/W  %CW@8/W?^>@%B/F/W d@^>  L/ DH+/C @Y ^>/F <@c/F !f ^>/

_>/D_@%C I+/CZ 4IX _>/ /+@D/F__@IF I4 cZL/FZ@IFZ 3

P

=

3

'

= #

: "

= #

; #

Q

3

= J

R

;

T

? %

= H

#

%

U

8 '

JG

V

? 

; "

"

%

'































"

#

%

'



 

























 











.

/

3

1































.

/

3

1













 

































 



.

/

1

3



4

3

1

 

 



+





3





.

4

*



1







.

M

4

*



3

1

O



H

; H

J

?

= '

;

M



8

:

;

=

?

: A

B

C

8

:

;

=

? :

A

B

C

) 0) X/ZZcX/ 7C_X_@IF I4  9I%%cC_/+ ZcZL/FZ@IF "bJ#

@F@^@C cCb/ KWH!C/D LZMFL W P FR 3LW+ ZM 3 h + Z .  + S 5 h Z  5, bW   LW : W M 

 LW : W M P LZM6LWM 5, b W

 3LW+ ZM )3  LW : W M P LZM6LWM 5, bW    LW : W M 5, bW

WLZ+ hM 3 WG LZM . "h+ I# + Z .  Z Z = :I * :I = Z = h * h=Z=I* Z5I* LI0M

d>/W/  2 h F+  2 h W/ ^>/ KW/Y%W@!/+ cHCbD/ :be/Y H5 ^>/ YbYK/F? Y@HF* d>@%> C/c/ ^>/ %HF^@F/W ^ ^>/ !H^^HD HW W/ 5/+ @F^H ^>/ %HF^@F/W* W/YK/%^@c/Cf*  3  :  @Y ^>/ W/YbC^@F< cHCbD/ :be ^ ^>/ Hc/W:Hd* F+ W @Y ^>/ YHC@+Y 5//+ %HF%/F^W^@HFO HW Y@DKC@%@^f* ^/DKHWCCf %HFY^F^ %HF? ^WHC 5bF%^@HFY  *  F+ W W/ YYbD/+O >/ DHY^ W/KHW^/+ W/YbC^Y +/C @F ^>/ 8WY^ @FY^F%/ d@^> ^>/ %Y/ H5 %HFY^F^ %WHYY Y/%^@HF  0 %HFY^G d@^> L 3  R F+ L 3  R L@/ FCfY@Y H5 %CW@8/W?^>@%B/F/W DH+/CY* @F%Cb+@F< d/CC?KHY/+F/YY* %HF? c/WH+Y F+ /e^/FY@HFY ^H :H%%bC^/+ F+ KHCf+@YK/WY/ YbYK/FY@HFY* >Y HK/F/+  F/d C@F/ H5 W/Y/W%> d@^>@F ^>/ KWHA/%^ ^>^ /D^? @%C F+ FbD/W@%C YK/%^Y H5 %CW@8/W?^>@%B/F/W DH+/CY W/ 5bW^>/W +@Y%bYY/+ @F /%^YO _O; F+ 9Oa* W/YK/%^@c/CfO

bi

P/XX/Z*P, cX;/X*F+P P/F+CF+

F=G @%AAH@%14E@E1868(48H4E%#HA:%6A186A >/Y/+@D/F^^@HF?%HFYHC@+^@HF^>/HWfdYCYH/e^/F+/+^HKW/YYbW/8C^W? ^@HFH5:H%%bC^/+YbYK/FY@HFYO
8C^W^@HF+/c@%/@YYB/^%>/+@F@/YbYK/FY@HF@Y%HF^@F/+@F%fC@F+W@%CcHCbD/*d>@%>@Y!HbF+/+^ ^>/^HK^>/@<>^ 636LSM!fDHc!C/K@Y^HFF+^^>/!H^^HD!f8e/+ 8C^/WLHWSD/D!WF/TMO>@YD/D!WF/@YK/WD/!C/5HW^>/:b@+HFCfO>/F ^>/KW/YYbW/ QLSM@YKKC@/+^H^>/K@Y^HF*^>/:b@+@YYQb//g/+^>WHb<>^>/ 8C^/W/C/D/F^OF^>/D/D!WF/YH?%CC/+8C^/W%B/!b@C+YbKO>/8C^/W %B/ <WHdY %HF^@FbHbYCf F+ @^Y >f+WbC@% W/Y@Y^F%/ @F%W/Y/Y %%HW+@F@%>>@F+/WY^>/DHc/D/F^H5^>/K@Y^HFO >@Y8C^W^@HFKWH%/YYLY/+@D/F^^@HFF+%B/5HWD^@HFMd@^>^>/D@e? ^bW/ :Hd %bY/+ !f ^>/ K@Y^HF DHc/D/F^ %F CYH !/ +/Y%W@!/+ !f ^>/ Y/+@D/F^^@HF?%HFYHC@+^@HFDH+/C@FHF/YK%/+@D/FY@HFO>//YY/F^@C@+/ @Y^>^%HDKC/^/D^>/D^@%CDH+/C%F!/H!^@F/+F+FbD/W@%CCfY@D? bC^/+!f^>/%>H@%/H5KKWHKW@^/!HbF+Wf%HF+@^@HFYF+^>/%HbKC@F<H5 KKC@/+KW/YYbW/ QLSMF+K@Y^HF>/@<>^ 6LSMO /W/^>/Y/+@D/F^^@HFH5^>/ YbYK/FY@HF@FY@+/^>/%HF^@F/W@YCYH@F%Cb+/+O >/W/YbC^@F<KW/YYbW/8C^W^@HFDH+/C%F!/Y^^/+Y5HCCHdYO>/8/C+ /Qb^@HF5HW^>/%HF%/F^W^@HFHY5bF%^@HFH5^@D/SF+>/@<>^ ]@Y + * 2 @ FHPF L M + h=]=6SM L + S5 h G LIGM L U 6LSMHP2 , LHM 3 FU
H >/KHW/KW/YYbW/ E*d>@%>@YCYHYHb<>^*%F!/%C%bC^/+5WHD HL]+SM!f F