!"#$%&'#()(%*+%(%&),*(-*&#-*.&)"(%*(-*'!, !"#$!$%$&'()'*%+,!-. ()/.0$.,)"$&'()'*%+,!-.'!"&012"!-. *%+,!-.'3%"(.,)"$.4'5'*%!'67787 2008/2 ,#'/)*(%*%0%&121#-' !"#$%&'&(&$$)$$!"*+#,-$."/0-+1/2-3 $415#678$01$,8/,1#2869$1621!"#8+124#-$$)$$1:14,*,#86 !"#$%&#&%'()*&#+&),*&-#./#01-2'#3'+(2()/#./#.'2(#2(4)'5'(#./#%&((᪅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`['#.&#(,5/*_I32/#.&# ]/**&#S#:8!<#K#!<!G#%GT#M,/#(/*2'=/*)/-'#3'+V,+)'#./#52-W&(# 6"#C,&+)'(#%'-(#/()['#5*/(/+)/(#/%#3&.&#,%#.'(#I)/+(#(/0,2+)/(X S&T#::87:#0#./#_/**'#Sa/TF S=T#A68<#0#./#.24K2.'#./#+2)*'0L+2'#SbNGTF S3T#!8<<0#./#&%E+2&#Sbc@TF S.T#@GA#0#./#(&3&*'(/#SU!GcGGN!!T ;"#C,&+)'(#0*&%&(#5/(&%#3&.&#,%#.'(#I)/+(#(/0,2+)/(X S&T#<8G::#%'-#./#01(#3&*=E+23'#SUNGTF S=T#A86;#K#!<GG#%'-D3,-&(#./#UNGF S3T#,%&#%'-D3,-&#./#UNGF 7"#$%#3'%5'()'#3'%#&#_4*%,-&#O@b#3'+)D%#<86;@#0#./#b#S+2)*'0L+2'T#5'*#0*&%&#.'#%/)&-#O"#C,&-#D# &#%&((&#&)E%23&#./#OF##C,&-#D#'#/-/%/+)'#OF 9"#C,&+)'(#0*&%&(#./#UNG#(['#5*'.,J2.&(#+'%=,()['#./#!<<#0#./#=,)&+'F !<"#a/HNA# */&0/#3'%#dO+NA# /%#cGHNA# 5&**'.,J2*#a/GSHNAT@# /#O+HNA"#C,&+)'(#0*&%&(#./# a/HNA#*/&0/%#3'%#@8;!#0#./#dO+NAF !<#a/HNA#e##G#dO+NA##e##7#cGHNA###→##:#a/GSHNAT@##e##G#O+HNA##e##dGHNA##e##7#cGN !!"#$%#)&=-/)/#./#H'+*2(&-#3'+)D%#@GA#%0##./#&(52*2+&#SU9c7NAT8#!9<A#%0##./#=23&*='+&)'#./#(4.2'# Sb&cUN@T # / # !<<< # %0 # ./ # 132.' # 3I)*23' # SU6c7N;T" # S # '( # .'2( # f-)2%'( # 3'%5'()'( # */&0/% # /+)*/ # (2# 5*'B'3&+.'#&#/_/*B/(3L+32&8#&(#='-W&(#./#UNG8#M,&+.'#'#)&=-/)/#D#3'-'3&.'#/%#10,&"T##S&T#U&-3,-/#'# +f%/*'#./#%'-(#./#3&.&#(,=()>+32&#+'#)&=-/)/"#S=T#H/#B'3L#)'%&#,%#)&=-/)/8#M,&+)&(#%'-D3,-&(#./# &(52*2+&#B'3L#/()1#3'+(,%2+.'F !G"#Q-0,+(#)25'(#./#_*/'+#/*&%#,(&.'(#3'%'#5*'5/-/+)/#/%#-&)&(#./#(5*&g#./#)2+)&(8#(5*&g#_2K&.'*/(#./# 3&=/-'#/#',)*'(#5*'.,)'(#./#3'+(,%'"#P+)*/)&+)'#'#,('#./#_*/'+(#)/%#(2.'#5*'I=2.'#5'*M,/#/-/(#3&,(&%# .&+'(#&%=2/+)&2("#H/#/K2()/#G:<#0##./#_*/'+8#UU-GaG8#/%#,%&#-&)&#./#(5*&g8#M,&+)&(#%'-D3,-&(#/()&*1# B'3L#-2=/*&+.'#5&*&#'#&*#M,&+.'#/(B&J2&*#&#-&)&F !@"#$%&#&%'()*&#./#,%#3/*)'#3'%5'()'#3'+)D%#;8<#K#!< GG#%'-#./#1)'%'(#./#(4.2'8#@8:#K#!<GG#%'-#./# 1)'%'(#./#/+KE_*/#/#!8A#K#!<G@#%'-#./#1)'%'(#./#'K20L+2'"#C,&-#D#&#_4*%,-&#/%5I*23&#S%I+2%&T#.'# 3'%5'()'F !A"#h2)&%2+&#U#D#,%#3'%5'()'#M,/#3'+)D%#'(#/-/%/+)'(#U8#c#/#N"#i/)/*%2+/#&#_4*%,-&#/%5I*23&#.&# B2)&%2+& # U # & # 5&*)2* # .'( # (/0,2+)/( # .&.'(X # A8<< # %0 # ./ # B2)&%2+& # (4-2.& # D # M,/2%&.& # /% # 'K20L+2'# _'*+/3/+.'#6#%0#./#UNG#/##!86@G#%0##./#cGN" !:"#j&,+2-W&#D#,%#&*'%&)2J&+)/#%,2)'#3'%,%"#P-&#)/%#&#%&((&# #./#!:G#0#k#%'-#/#D#3'%5'()&#./# 6@8!:?#U#/#:8@<?#cZ#'#*/()&+)/#D#'K20L+2'"#i/)/*%2+/#&#_4*%,-&##%'-/3,-&*#.&#=&,+2-W&" !6"#$%&#&%'()*&#./#U&U-G#/#b&U-8#5/(&+.'##A8GG#0##_'2#.2(('-B2.&#/%#10,&#/#&#('-,`['#_'2#)*&)&.'%# 3&*='+&)'#./#(4.2'#5&**/3252)&*#'#31-32'#3'%'#U&UN@"#Q54(#2('-&%/+)'#.'#U&UN@#(4-2.'8#/-/#_'2# &M,/32.'#5&*&#-2=/*&*#UNG# /#_'*%',#<89:9#0##./#U&N"#C,&-#D#&##5/*3/+)&0/%#/%#5/('#./#U&U-G# +&# &%'()*&#'*202+&-#./#A8GG#0 !;"#$%&# #%2(),*&#./# #=*'%/)'#./#5')1((2'#Sdj*T#/# #=*'%/)'#./#(4.2'#Sb&j*T#5/(&+.'#<8:6<#0# #_'2# .2(('-B2.&#/%#10,&#/#/+)['#)*&)&.'%#+2)*&)'#./#5*&)&#SQ0bN@T"#]'.'#'#I'+#=*'%/)'#.&#&%'()*&# '*202+&-#_'2#*/3,5/*&.'#+&#_'*%&#./#<89;<#0##./#=*'%/)'#./#5*&)&#SQ0j*T"#C,&-#D#&#_*&`['#/%#5/('#./# dj*#+&#&%'()*&F !7"#Q#+&B/#/()/-&*#P+)/*5*2(/#.&#(D*2/#l'*+&.&#.&(#P()*/-&(#,(',#3'%'#3'%=,()IB/-#j :c9#/#NG"#N(#.'2(# */&0/%#./#&3'*.'#3'%#&#(/0,2+)/#/M,&`['#+['#=&-&+3/&.&X# j:c9#S-T###e####NG#S-T#####→######jGN@#S(T###e####cGNS0T S&T#H/#,%#)&+M,/#./#3'%=,()IB/-#3'+)D%#!G6#m0#./#j:c98#/#'#',)*'#3'+)D%#!9G#m0##./#NG#-IM,2.'8#M,/# )&+M,/#./#3'%=,()IB/-#_23&*1#B&J2'#5*2%/2*'F S=T#C,&+.'#,%#)&+M,/#./#3'%=,()IB/-#/()1#B&J2'8#M,&+)'#3'%=,()IB/-#&2+.&#)/%#+'#',)*'#F S3T#C,&+.'#&#*/&`['#)/*%2+&*8#M,&+)'#./#10,&#_'2#_'*%&.'F !9"#$%#/(),.&+)/#+'#-&='*&)4*2'#./#M,I%23&#'*0>+23*/5&*&#=*'%/)' #./#/)2-&8#UGc:j*8#*/&02+.'# 1-3''-#/)I-23'#SUGc:NcT#3'%#)*2=*'%/)'#./#_4(_'*'#Snj*@TX @#UGc:Nc#S-T###e###nj*@#S-T#####→#####@#UGc:j*#S-T###e###c@nN@#S(T a'2#.2)'#&#/-/#5&*&#*/&02*#@A8<#0#./#1-3''-#/)I-23'#S/)&+'-T#3'%#:98<#0#./#nj*@" S&T#C,&-#D#'#*/&0/+)/#-2%2)&+)/F S=T#C,&-#D#'#*/+.2%/+)'#)/4*23'#./#UGc:j*F S3T#H/#/-/#'=)/B/#G68<#08#M,&-#_'2#'#(/,#*/+.2%/+)'F G<" #;<& $ ==>&?# N # %/)2-)*2'K'*L+2' # SO]NT # D # ,% # 3&)&-2(&.'* # =&()&+)/ # ,)2-2J&.' # /% # &-0,%&( # */&`o/(# M,I%23&("# #H,&#&+1-2(/#%'()*',#&#(/0,2+)/#3'%5'(2`['X#c#!"G!?8#U#A"7G?8#N#!9"G6?8#R/#;A";!?"# C,&-#D#&#(,&#_4*%,-&#%I+2%&F ^/2),*'%5-/%/+)&*X j*&.g8#B'-,%/#!8#3&5I),-'#!"#$%&'()$#*'+ P==2+08#B'-,%/#!8#3&5I),-'( #,&-)'.+/$/0$1'1+"# Sp+)*'.,`['#\#C,I%23&T8 #2#()("3/0(45.&4+"/$/6(7" / SR/&`o/(#C,I%23&(X#PM,&`o/(T#/#894.&4("/.()/:;*)&4+"/$/!%&+<=$"/,&-)'.+" d')J8 # B'-,%/ # !8 # 5&*)/ # !8 # 3&5I),-'( #0(45.&4+" / $ / 8()>("#("3 / ?*'7.->'(" / 1$ / @$+#'A'1+1$B / @$+<=$" / ,&-)'.+"3/!"#$%&'()$#*'+ O&W&+8#3&5I),-'#!"#$%&'()$#*'+/$/+/C+"$/1+/#$(*'+/D#E)'.+ j,/+'8#3&5I),-'#D4F&7"/8(7.$'#(" 415#678$01$,8/,1#2869$1621!"#8+124#-$$)$416<862-6$086$1:14,*,#86 !"#698;:#,#',#698;:#0k%'G"#G78<7::!#, @"#H=!G!#X##:;8:<?####/####H=!G@#X#AG8:<? A"#O0G:#X##98@!?######/####O0G6#X##!!8;<? :"#]/**&Y^,&X##G8@:#K#!<!G#52-W&(##S.'2(#)*2-Wo/(8#)*/J/+)'(#/#32+Mq/+)&#=2-Wo/(#./#52-W&(T <8<G<7?#.&#(,5/*_I32/#.&#]/**&#(/*2'=/*)/-&(#52-W&(" ]/**&YH'-X##68<G#K#!<9#52-W&(##S(/2(#=2-Wo/(#/#B2+)/#%2-Wo/(#./#52-W&(T :8@A#K#!<Y:?##S<8<<<<:@A?T#.&#(,5/*_I32/#.&#]/**&#(/*2'=/*)/-&(#52-W&(" 6"#&T#!#%'-#./#a/Z####=T##!#%'-#./#bNGZ####3T#:87;#K#!<YG#%'-#./#bc@Z####.T##<89A;#%'-#./#U!GcGGN!! ;"#&T#!!8G#0Z####=T##@8A!#0Z####3T##;8@!#K#!<YG@0 7"#&T#689@#0k%'-#r#^I)2' 9"#@<@#0#UNG !<"#!;87#0#a/HNA !!"#######&T#!87#K#!<Y@#%'-#./#&(52*2+&Z##G8G;#K#!<YG#%'-#b&cUN@Z##:8G!#K#!<Y@#%'-#./#132.'#3I)*23'" =T#!8<7#K#!<G!#%'-D3,-&(" !G"#!8GA#K#!<GA#%'-D3,-&(" !@"#b&GHNA !A"#U@cAN@ !:"#U7c7N@ !6"#A:8<?#./#U&U-G !;"#<8@;9#D#&#_*&`['#/%#5/('#./#dj*" !7"#&T#NG#D#'#*/&0/+)/#-2%2)&+)/Z####=T##6@#m0#./#j:c9#('=*&+.'Z####3T##7!#m0#cGN !9"#&T#N#*/&0/+)/#-2%2)&+)/#D#'#nj*@Z####=T##;!8G#0##UGc:j*Z####3T##@68:?" G<"#Uc@R/N@ !"#$%&'&(&$$)$$!"*+#,-$."/0-+1/2-3 $415#678$01$,8/,1#2869$683"@A16$$)$$1:14,*,#86 !"#i/_2+&X#S&T#H'-,`['8##S=T#H'-,)'8##S3T#H'-B/+)/8##S.T#H'-,`['#.2-,I.&8##S/T#H'-,`['#3'+3/+)*&.&8##S_T# H'-,`['#(&),*&.&" G" # U&-3,-/ # & # 3'+3/+)*&`['8 # /% # %'-k^8 # .& # 3&.& # ,%& # .&( # (/0,2+)/( # ('-,`o/(X # # S&T # !8<< # 0 # ./ # b&U-# .2(('-B2.'#/%#!8<<#-2)*'#./#('-,`['"#S=T#!8<<#0#./#cGHNA#.2(('-B2.'##/%#!#-2)*'#./#('-,`['"#S3T#A8<<#0# ./#b&Nc#.2(('-B2.'(#/%#::8<#%^#./#('-,`['" @"#i/)/*%2+/#&#_*&`['#%'-&*#./#=/+J/+'8#U6c68#+&(#(/0,2+)/(#('-,`o/(X#S&T#!8<<#0#./#U6c6#%&2(#!8<<#0# ./#UU-AZ##S=T#A8<<#0#./#U6c6#%&2(#A8<<#0#./#UU-A##%&2(#A8<<#0#./#UHG" A" # U&-3,-/ # & # M,&+)2.&./ # ./ # ('-,)' # +/3/((1*2& # 5&*& # 5*/5&*&* # ,%& # ('-,`[' # <8G # %'-k^ # ./ # 0-23'(/8# U6c!GN68#&*)2*#./#@<<#0#./#10,&" :"#s32.'#(,-_f*23'#3'+3/+)*&.'#)/%#&#./+(2.&./#./#!87A#0k3% @#/#D#9:?#/%#%&((&#./#cGHNA"#C,&-#D#&# (,'+3/+)*&`['#/%#%'-k^F 6"#H,5'+W&#M,/#<8!<#%'-#./#b&U-8#<8G<#%'-#./#O0U- G# /#<8@<#%'-#./#a/U-@# (['#&.232'+&.'(#&#,%# B'-,%/#./#10,&#(,_232/+)/#5&*&#_&J/*#<8:<<#-2)*'(#./#('-,`['"#C,&-#D#'+3/+)*&`['8#/%#%'-k^8#.'#I'+# U-Y#+&#('-,`['F ;"#C,&+)'(#%2-2-2)*'(#./#('-,`['#./#cU-#!8<<#%'-k^#./B/%#(/*#&.232'+&.'(#&#:<8<#%^#./#('-,`['#./# cU-#<8:<<#%'-k^8#5&*&#(/#'=)/*#,%&#('-,`['#3,V'+3/+)*&`['#D#<86<<%'-k^F 7"#l,+)&+.'Y(/#:<<#%^#./#('-,`['#<8A#%'-k^#/#@<<#%^#./#('-,`['#<8:#%'-k^#.'#%/(%'#('-,)'#/# .2-,2+.'Y(/#&#('-,`['#'=)2.&#&#!#^8#M,&-#&#%'-&*2.&./#_2+&-F 9"#:8<<#0#./#b&Nc#_'*&%#.2(('-B2.'(#/%#!8<<<#^#./#('-,`['"#$%&#&-IM,')&#./#G<8<<#%^#./((&#('-,`['# /K202,#!<8GA#%^#./#cU-#<8!<GA#%'-k^#5&*&#(/#)2),-&*"#i/)/*%2+&*#'#0*&,#./#5,*/J&#.'#b&Nc#,(&.'" !<"#S<&$==>&T#a'2#('-232)&.'#&#,%#/(),.&+)/#M,/#5*/5&*&((/#&#(/0,2+)/#('-,`['X#!86@#0#./#3&*='+&)'#./# (4.2'#&+2.*'8#b&GUN@8#.2(('-B2.'#/%#10,&#/#.2-,I.'#&#G<<#%^"#U&-3,-/#&#%'-&*2.&./#.&#('-,`['" !!" #;<&$ ==>(?# $%&#%&+/2*&#./ # (/#./)/*%2+&*#&# M,&+)2.&./ # ./ #I'+(#Q0e# /%#,%&# ('-,`[' # D# &#(,&# 5*/3252)&`['#SB2*),&-%/+)/#3'%5-/)&T#3'%#3-'*/)'(8#(/0,+.'#&#/M,&`['#Q0e#S&MT#e#U-Y#S&MT##t#Q0U-#S(T"# $%&#('-,`['#./#3'+3/+)*&`['#./(3'+W/32.&#./#Q0e# #_'2#5*/3252)&./-&#&.2`['#./#cU-#/#&#%&((&#./# Q0U- # */3,5/*&.& # _'2 # ./ # <8A<: # 0" # H/ # ' # B'-,%/ # 2+232&- # .& # ('-,`[' # /*& # ./ # @<< # %^8 # ./)/*%2+/ # &# 3'+3/+)*&`['#./#I'+(#Q0e#+&#('-,`['#./#5&*)2.&" ^/2),*'%5-/%/+)&*X j*&.g8#B'-,%/#!8#3&5I),-'#@$+<=$"/,&-)'.+"/$)/G(4&<H(/D%&("+ P==2+08 # B'-,%/ # !8 # 3&5I),-'( #2#()("3 / 0(45.&4+" / $ / 6(7" /SR/&`o/( # C,I%23&(X # PM,&`o/(I3 / @$+<=$" / ,&-)'.+"B/J7#*(1&<H(8#894.&4("/.()/:;*)&4+"/$/!%&+<=$"/,&-)'.+"#SN5/*&`o/(#3'%#H'-,`o/(T d')J8#B'-,%/#!8#5&*)/#@8#3&5I),-'#G(4&<=$"/$/8()>(*#+)$7#(/1+"/G(4&<=$" j,/+'8#3&5I),-'#G(4&<=$" 415#678$01$,8/,1#2869$683"@A16$$)$416<862-6$086$1:14,*,#86 G"&T#!8;!#K#!<YG#%'-k^Z##=T#!8<G#K#!<YG#%'-k^##3T#!87G#%'-k^ @"#&T#K=/+J/+'#r#<866AZ##=T#K=/+J/+'#r#<8@9: A"#!<87#0 :"#!;87A#%'-k^ 6"#G87#%'-k^ ;"#!G8:#%^#./#cU7"#<8@:#%'-k^ 9"#A<? !<"#<8<;69#%'-k^ !!"#98A@#K#!<Y@#%'-k^ !"#$%&'&(&$$)$$!"*+#,-$."/0-+1/2162-08$B-6868$$$)$$$1:14,*,#86 !"#H,5'+W&#M,/#!8<<#0#./#3&.&#,%#.'(#0&(/(#u#cG8#NG8#/#bG# u#(/V&%#3'-'3&.'(#3'+V,+)&%/+)/#/%#,%# */3252/+)/ # ./ # !<8< # -2)*'( # & # !G:vU" # U'+(2./*/ # ' # 3'%5'*)&%/+)' # 2./&- # / # 3&-3,-/ # & # 5*/(([' # )')&- # /%# &)%'(_/*&(" G"##H,5'+W&#M,/#<8!:;#0#./#,%#3/*)'#01(#3'-/)&.'#('=*/#10,&#'3,5&#,%#B'-,%/#./#!@:#%^#&#G:vU#/# ;A:#%%c0"#U'+(2./*&+.'#'#3'%5'*)&%/+)'#2./&-8#./)/*%2+/#&#%&((&#%'-/3,-&*##.'#01("#Q#5*/((['#./# B&5'*#.w10,&#+/((&#)/%5/*&),*&#D#./#GA#%%#c0" @"##$%#01(#)/%#./+(2.&./#./#!87:#0k^#&#G:vU#/#;A<#%%c0"#C,&-#D#&#(,&#%&((&#%'-/3,-&*F A"##G@8G#%^#./#,%&#&%'()*&#./#,%#01(#5/(&*&%#<8<G7#0#&#GAvU#/#69G#)'**"#C,&-#D#&#%&((&#%'-/3,-&*# &5*'K2%&.&#.'#01(F :"##@<8<#0#./#UNG8#AG8<#0#./#bG#/#A78<#0#./#HNG#(['#%2(),*&.&(#/%#,%#*/3252/+)/8#+'#M,&-#/K/*3/%# ,%*/((['#)')&-#./#96<#)'**"#Q3W/#*/((['#5&*32&-#./#3&.("# 6"# #C,/#B'-,%/#.'#01(#&#G:<vU#/#!8<#&)%#(/*2&#_'*%&.'#5/-&#./3'%5'(2`['#./#:8<#0#./#+2)*&)'#./# &%E+2'8#./#&3'*.'#3'%#&#/M,&`['X#####G#bcAbN@#S(T###→###G#bG#S0T###e###NG#S0T###e###A#cGN#S0T" ;" # !67 # %^ # ./ # UNG8 # %/.2.'( # & # ;6< # %%c0 # / # G9<vU # ([' # */(_*2&.'( # & # <vU # %&+)/+.'Y(/ # & # 5*/((['# 3'+()&+)/"#i/)/*%2+/#'#B'-,%/#'3,5&.'#5/-'#01(8#+/()&(#3'+.2`o/(" 7"#C,&+)'(X###S&T#%'-(#./#U@c7Z###S=T#%'-D3,-&(#./#U@c7Z###S3T#1)'%'(#./#3&*='+'Z###S.T#%'-(#./#1)'%'(# ./#W2.*'0L+2'Z###S/T#-2)*'(#/%#Ub]nZ###S_T#-2)*'(#&#;;vU#/#('=#5*/((['#./#6<8<#3%c0Z###/()&*['#3'+)2.'(# /%#!8;6#0#./#U@c78#(,5'+.'Y(/#M,/#D#,%#01(#2./&-F 9"#Q#&+1-2(/#/-/%/+)&*#./#,%#3/*)'#3'%5'()'#D#GA8@?#./#U8#A8!?#./#c#/#;!86?#./#U-"#H/#<8!@G#0#./()/# 3'%5'()'#'3,5&#A!8A#%^#&#;A!#%%c0#/#76vU8#M,&-#&#_4*%,-&#%'-/3,-&*#M,/#-W/#3'**/(5'+./F !<"#H,5'+W&#M,/#A<"<#%^#./#W2.*'0L+2'#/#6<8<#%^#./#+2)*'0L+2'8#&%='(#+&(#Ub]n#8#(['#)*&+(_/*2.'(# 5&*&#,%#%/(%'#=&-['#3'%#B'-,%/#./#!G:#%^"#C,&-#*/((['#.&#%2(),*&#&#<vUF !!"#$%#01(#2./&-8#('=#5*/((['#./#!#&)%8#_'2#3'-'3&.'#+,%#=,-='#./#B'-,%/#h"#Q=*2,Y(/#,%&#)'*+/2*&#/# '#01(#/K5&+.2,Y(/#5&*&#./+)*'#./#',)*'#=,-='#./#B'-,%/#<8:#-2)*'("#C,&+.'#(/#/()&=/-/3/,#'#/M,2-I=*2'8# \#)/%5/*&),*'+()&+)/8#*/((['#/*&#./#:@<#%%c0"#C,&-#'#B'-,%/#.'#!v#=,-='F !G"#U&-3,-/#*/((['#/K/*32.'*#!<#0#./#UN G#M,&+.'#%&+)2.&(#&#@:vU#+,%#*/3252/+)/#./#@#-2)*'(#./# 3&5&32.&./" !@"#Q#@!7#d#/#!#&)%#8#'#bGNA#(/#.2(('32&#/%##G#bNG#(/+.'#'#0*&,#./#.2(('32&`['#@7?"#U&-3,-&*#&# 5*/((['#./(/+B'-B2.&#/%#,%#*/3252/+)/#./#G<#-2)*'(8#3'+)/+.'#!#%'-#./#bGNA8#M,&+.'#'#*/3252/+)/#D# &M,/32.'#&#@!7#d" !A"#$%#32-2+.*'#5&*&#&*%&J/+&%/+)'#./#0&(/(#3'+)D%#'K20L+2'#('=#5*/((['#./#!@<#&)%#+&#)/%5/*&),*&# ./ # G:vU" # $% # -2)*' # ./ # 'K20L+2' # %/.2.' # ('= # 5*/(([' # ./ # @< # &)% # & # G:vU # _'2 # */)2*&.' # .' # 32-2+.*'8# */02()*&+.'Y(/#,%&#.2%2+,2`['#./#<8;:#&)%#+'#32-2+.*'"#U&-3,-&*#'#B'-,%/#.'#32-2+.*'" !:"#U&-3,-/# #&#./+(2.&./#./#,%&#%2(),*'+()2),I.'*#:#0#./#&*0E+2'8#@7#0#./#+/E+2'#/#A:#0#./# K/+E+2'"#C,&-#'#B'-,%/#'3,5&.'#5/-&#%2(),*&#+/()&(#3'+.2`o/(#/# M,&-#&# 5*/(([' # # 5&*32&-# ./#3&.&# 3'%5'+/+)/F###H2()/%&#+&#Ub]n" !6"#j'*=,-W&Y(/#+2)*'0L+2'#0&('('#/%#10,&#&#!:vU#/#/%#(/0,2.&#'#01(#D#*/3'-W2.'#+,%#B'-,%/#./#;:<# 3%@"#Q#5*/((['#)')&-#.'#01(#M,/#/()1#(&),*&.'#3'%#B&5'*#.w10,&#D#./#;A<#%%c0#&#G:vU"#Q#5*/((['#./# B&5'*#.w10,&#+/((&#)/%5/*&),*&#D#./#GA#%%c0"#C,&+)'(#%'-(#./#+2)*'0L+2'#/K2()/%#+/((&#&%'()*&F# C,&-#(/*1#'#B'-,%/#./((&#&%'()*&#+&(#3'+.2`o/(#+'*%&2(#./#]#/#nF !;"#$%&#%2(),*&#./#<8!:<#0#./#cG8#<8;<<#0#./#bG#/#<8@A<#0#./#bc@#/K/*3/%#,%*/((['#./#!#&)%8#&# G;vU"#U&-3,-/X S&T#&#_*&`['#%'-&*#./#3&.'%5'+/+)/" S=T#*/((['#5&*32&-#./#3&.'%5'+/+)/" S3T#'#B'-,%/#)')&-#.&#%2(),*&" !7"#N#3-'*'#5'./#(/*#5*/5&*&.'#'K2.&+.'Y(/##'#I'+#3-'*/)'#5/-'#O+NG8#(/0,+.'#&#*/&`['X O+NG####e####A#cU-#####→###O+U-G####e####G#cGN####e####U-G C,&-#'#B'-,%/#%1K2%'#./#01(#3-'*'8#+&(#Ub]n8#M,/#5'./#(/*#5*/5&*&.'#&*)2*#./#!<<0#./#O+NG"F !9"#H/#)/)*&='*&+'#SjAc!<T#D#)*&)&.'#3'%#'K20L+2'#5,*'8#/-/#M,/2%&#.&+.'#&+2.*2.'#=4*23'#SjGN@T#/# 10,&#ScGNT" G#jAc!<#S0T####e####!!#NG#S0T######→######A#jGN@#S(T####e####!<#cGN#S0T H/#,%&#&%'()*&#./#<8<:<#0#./#)/)*&='*&+'#M,/2%'%5-/)&%/+)/#/%#'K20L+2'8#M,&-#(/*1#*/((['#.&# 10,&#/%#/()&.'#0&('('#/%#,%#_*&(3'#./#A8G:#-2)*'(#&#@<8<vUF G<"#S&T#H/#!8<#K#!<@#0#./#,*>+2'#S$T#(['#3'+B/*)2.'(#&#W/K&_-,'*/)'#./#,*>+2'#S$a6T8#M,/#5*/((['#./# $a6#(/*1#'=(/*B&.&#&#@GvU#/%#,%>%&*&#M,/#3'+)/+W&#,%#B'-,%/#./#@8<#K#!<G#-2)*'(F S=T##C,/#B'-,%/#'#$a6#'3,5&*2&#+&(#Ub]nF############### G!"#c2.*&J2+&#SbGcAT#*/&0/#3'%#'K20L+2'#SNGT#./#&3'*.'#3'%#&#/M,&`['X bGcA#S0T####e####NG#S0T######→######bG#S0T####e####G#cGN#S0T H,5'+W&#M,/#'#'K20L+2'#5&*'%=,()['#.&#W2.*&J2+&#/()&*1#/%#,%#)&+M,/#./#A:<#-2)*'(#\#G6vU"#H/# B'3L#./(/V&#'%=,()['#3'%5-/)&#./#,%&#&%'()*&#./#!<#m0#./#W2.*&J2+&8#&#M,/#5*/((['#./B/*1#/+3W/*# '#)&+M,/#5&*&#)/*#'K20L+2'#(,_232/+)/F GG"#S<&$==>&T#b2)*'0-23/*2+&#D#,%#-IM,2.'#(/+(IB/-#W'M,/#M,/#./)'+&#&)*&BD(#.&#*/&`[' A#U@c:SbN@T@#S-T######→#####6#bG#S0T###e###!<#cGN#S0T###e###!G#UNG#S0T###e###NG#S0T U&-3,-/#'#B'-,%/#)')&-#./#5*'.,)'#0&('('8#&#!8A7#&)%#/#!<<vU8#.&#./)'+&`['#./#!8<#0#./#+2)*'0-23/*2+&" G@"#S<&$==>&T#Q+&-2(/#3&.&#&_2*%&`['#/#.20&#(/#D#_&-(&#',#B/*.&./2*&"#l,()2_2M,/#(,&#*/(5'()&" S&T#x&(/(#*/&2(#(/#3'%5'*)&%#%&2(#3'%'#0&(/(#2./&2(#&#%/.2.&#M,/#&#)/%5/*&),*&#D#&,%/+)&.&" S=T#H/#+#/#]#(['#%&+)2.'(#3'+()&+)/(8#,%#&,%/+)'#/%#n#*/(,-)&#/%#,%#&,%/+)'#/%#h" S3T#H/#n#/#]#(['#%&+)2.'(#3'+()&+)/(8#,%#./3*D(32%'#/%#+#*/(,-)&#/%#,%#./3*D(32%'#/%#h" S.T#Q#!8<<#&)%#/#G97#d8#3&.&#%'-D3,-&#./#01(#)/%#/K&)&%/+)/#&#%/(%&#B/-'32.&./" S/T#b&#%/(%&#)/%5/*&),*&#/#5*/((['8#'#01(#+2)*'0L+2'#SbGT#D#%&2(#./+('#M,/#'#01(#&%E+2&#Sbc@T" GA" # S<& $ ==>(T # @" # PK5-2M,/ # ' # 5'*M,L # .& # +[' # /K2()L+32& # ./ # 0&(/( # B/*.&./2*&%/+)/ # 2./&2(" # H'= # M,/# 3'+.2`o/( # (/ # 5'./ # _&J/* # & # &5*'K2%&`[' # 01( # */&- # r # 01( # 2./&-F # N # M,/ # &3'+)/3/ # (/ # =&2K&*%'(# 3'+)2+,&%/+)/#&#)/%5/*&),*&#./#,%#01(#3'+(2./*&.'#2./&-F G:"#;<&$==>(?#N#&*#D#3'%5'()'#./#7<?#./#bG#/#G<?#./#NG" &T#2%&02+&+.'#,%&#y%'-D3,-&y#./#&*#3'%#/(('%5'(2`['8#./)/*%2+/#&#(,&#%&((&#%'-/3,-&*#%D.2& =T#M,&-#&#./+(2.&./#.'#&*#&#!#&)%#/#G:z#UF ^/2),*'%5-/%/+)&*X j*&.g8#B'-,%/#!8#3&5I),-'#K+"$" P==2+08#B'-,%/#!8#3&5I),-'#L/!"#+1(/K+"("( d')J8#B'-,%/#!8#5&*)/#@8#3&5I),-'#K+"$" O&W&+8#3&5I),-'#?*(>*'$1+1$"/1("/K+"$" j,/+'8#3&5I),-'#K+"$" 162-08$B-6868$$)$416<862-6$086$1:14,*,#86 !"#n)#r#!87@#&)% G"#@<#0k%'@"#A6#0k%'A"#@G#0k%':"#5UNG##r##GG@#)'**8#5bG##r##A9!#)'**8#5HNG##rGA:#)'** 6"#98A#^ ;"#7!8:#%^##r##78!:#K#!<YG#^ 7"#&T#A#K#!<YG#%'-##=T#G8A!#K#!<GG#%'-D3,-&(#U@c7##3T#;8GG#K#!<GG#1)'%'(#U##.T#<8@G#%'-#./#1)'%'(#./# W2.*'0L+2' ####/T#<8796#^##_T#!8A6#^ 9"#UGcAU-G !<"#<87<<#&)% !!"#!8!:#^ !G"#!89#&)% !@"#n#r#!87#&)% !A"#A<#^ !:"#.#r#!8;#0k^Z####h#r#:@^Z####5Q*#r#<8<:@#&)%8####5b/#r#<87<#&)%Z####5{/#r#<8!:#&)% !6"#+bG#r#<8<@#%'-Z####h#r#<86:#^ !;"#&T#K#cG#r#<86G:Z#K#bG#r#<8G<7Z#K#bc@#r#<8!6;#=T#5cG#r#<86G:#&)%Z#5bG#r#<8G<7#&)%ZZ##5bc@#r# <8!6; # &)%Z # #######3T#h#r#G89:#^ !7"#G:8;#^# !9"#G8;:#K#!<YG#&)% G<"#&T#<8@:#&)%Z##=T#9A#^# G!"#!;8<#&)% GG"#<866#^ G:"#&T#G787#0k%'-##=T#!8!7#0k^ !"#$%&'&(&$$)$$!"*+#,-$."/0-+1/2-3 214+80#/C+#,-$1$214+8!"*+#,-$$)$$1:14,*,#86 # !"#n'*#M,/#∆$#/#∆c#(['#&5*'K2%&.&%/+)/#20,&2(#+'(#5*'3/(('(#./#_,(['#/#./#3'+0/-&%/+)'8#%&(#(['# .2_/*/+)/(#+'(#5*'3/(('(#./#B&5'*2J&`['#/#3'+./+(&`['F # G"#n&*&#M,&2(#.'(#(/0,2+)/(#5*'3/(('(#(['#(20+2_23&)2B&%/+)/#.2_/*/+)/(#&(#%/.2.&(#./#∆$#/#∆cF &T#_,(['#.'#UNG#(4-2.'##=T#(,=-2%&`['#.'#+&_)&-/+'#(4-2.'##3T#U&N#(4-2.'#/#UNG#0&('('#V,+)'(#5&*&# _'*%&*#U&UN@# (4-2.'# #.T#cU-#0&('('#/#bc@# 0&('('#3'%=2+&.'(#5&*&#_'*%&*#bcAU-#(4-2.'# #/T#cG# 0&('('#/#U-G#0&('('#3'%=2+&.'(#5&*&#_'*%&*#cU-#0&('('" # @"#C,&+.'#,%&#./)/*%2+&.&#*/&`['#(/#B/*2_23&#&#B'-,%/#3'+()&+)/8#!<8<#ml#./#3&-'*#(['#&=('*B2.'(#5/-'# (2()/%&#.&(#B2J2+W&+`&("#U&-3,-/#'#B&-'*#./##&T#M#=T#∆$#3T#∆c#.T#| # A"#$%&#./)/*%2+&.&#*/&`['#(/#*/&-2J&#*/((['#3'+()&+)/"#H/#78<#ml#./#3&-'*#(['#&=('*B2.'(#5/-'# (2()/%&8#/#@8<#ml#./#)*&=&-W'#(['#*/&-2J&.'(#5/-'#(2()/%&#('=*/#&(#B2J2+W&+`&(8#M,&-#D#'#B&-'*#./#&T#M#=T# ∆$#3T#∆c#.T#| # :"#$%&#./)/*%2+&.&#*/&`['#(/#*/&-2J&#*/((['#3'+()&+)/"#H/#78<#ml#./#3&-'*#(['#-2=/*&.'(#5/-'#(2()/%&8# /#G8<#ml#./#)*&=&-W'#(['#*/&-2J&.'(#5/-'#(2()/%&#('=*/#&(#B2J2+W&+`&(8#M,&-#D#'#B&-'*#./#&T#M#=T#∆$#3T# ∆c#.T#| # 6"#U&-3,-/#'#3&-'*#./#_'*%&`['#.'#/)&+'#&*)2*#.'#3&*='+'#/#.'#W2.*'0L+2'8#3'+W/3/+.'#'#3&-'*#./# 3'%=,()['#.'#/)&+'#/#'(#3&-'*/(#./#_'*%&`['#.
,&#/#.'#01(#3&*=E+23'" ############∆c3'%=#S/)&+'T##r##Y##@;G87G#m3&-k%'############∆c_#ScGNT#########r##Y##678@G#m3&-k%'############∆c_#SUNGT#########r##Y##9A"<:#m3&-k%'# ;" # H&=/Y(/ # M,/ # '# 3&-'*# ./ # _'*%&`[' #.' #a/ GN@# S(T# / #.' #Q-GN@# S(T# D # Y# !968: # / # Y# @998! #m3&-k%'-8# */(5/3)2B&%/+)/"#Q#5&*)2*#./()/(#.&.'(#./)/*%2+/#'#3&-'*#./#*/&`['#./#X a/GN@#S(T####e####G#Q-S(T######→######G#a/S(T###e####Q-GN@#S(T # 7" # P(3*/B& # &( # /M,&`o/( # )/*%'M,I%23&( # %'()*&+.' # ' # 3&-'* # ./ # 3'%=,()[' # %'-&* # 5&*& # &( # (/0,2+)/(# (,=()>+32&(8 # (/+.' # .&.'( # (/,( # 3&-'*/( # ./ # 3'%=,()[' # 5'* # 0*&%&X # # +&_)&-/+' # SU!<c7T8 # 986@ # m3&-k0Z# (&3&*'(/#SU!GcGGN!!T8#@89A#m3&-k0" # 9" # i/)/*%2+/ # &( # /+)&-52&( # 5&.*o/( # ./ # _'*%&`[' # .&( # (,=()>+32&( # (,=-2+W&.&(" # PK3/)' # '+./ # /()2B/*# &((2+&-&.'8#)'.&(#&(#(,=()>+32&(#/()['#+'#/()&.'#0&('('" &T##UGc6####e######;kG##NG######→####G#UNG#####e####@#cGN#S-T##################∆c##r#Y##@678A#m3&-k%'=T##U6c6####e####!:kG##NG######→####6#UNG#####e####@#cGN#S-T##################∆c##r#Y#;7G8@#m3&-k%'3T##Uc@bNG###e##;kA##NG#####→####UNG###e####@kG##cGNS-T###e###bNG#####∆c##r#Y#!698G#m3&-k%'iQiNHX#∆c_#Sm3&-k%'-TX####UNG#r#Y##9A8<:Z########bNG#r#e##78<9Z########cGNS-T#r#Y#678@G !<"#U&-3,-/#&#/+)&-52&#.&#-20&`['#bYc8#3'%'#/-&#(/#&5*/(/+)&#+'#bc@8#&*)2*#.'(#(/0,2+)/(#.&.'(X# S)'.&(#&(#(,=()>+32&(#/()['#+'#/()&.'#0&('('T ############G#bc@###e###!!kG#NG######→####bG######e####@#cGN#########################∆c##r#Y#!7G87#m3&############@#cGN#######→########!!kG#NG#####e####@#cG###################################∆c##r####G<A89#m3&############bG#############→##########G#b########################################################∆c##r####!;<##m3&############@#cG##########→##########6#c#########################################################∆c##r####@<9##m3&# !!"#U&-3,-/#&#/+)&-52&#./#_'*%&`['#.'#cGHNA#S-T#,)2-2J&+.'#&(#(/0,2+)/(#2+_'*%&`o/(X# ∆c_##cGN#S-T#r#Y#678@G#m3&-k%'-Z########∆c_##HNG#S0T#r#Y#;<89#m3&-k%'-Z HNG#S0T###e####!kG#NG#S0T#####→####HN@#S0T#########################∆c##r#Y##A687#m3&-k%'- HN@#S0T###e####cGNS-T######→####cGHNA#S-T###########################∆c##r#Y##G!##m3&-k%'# !G" # C,&-# D# ' # 3&-'*#+/3/((1*2' #5&*& #/-/B&*#&#)/%5/*&),*&# ./#!A6# 0# # ./ #3'=*/#./ #A68!#ϒGvU" #Q# 3&5&32.&./#3&-'*I_23&#.'#U,#S(T#D#GA8A#l"dY!"%'-Y!" # !@"#U&-3,-/#&#M,&+)2.&./#./#3&-'*#-2=/*&.'#5'*#,%/`&#./#5*&)/(&+.'#AG8!#0#M,&+.'#(/#/(_*2&#./# !A8<#&#Y#@G8!vU"#Q#3&5&32.&./#3&-'*I_23&#.&#Q0S(T#D#G:8A#l"dY!"%'-Y!" # !A"#$%/`&#./#',*'#\#)/%5/*&),*&#.'#3'*5'#S@;8<<vUT#D#V'0&.&#/%#G<8<#0#./#10,&#&#!<8<<vU"#H/#&# )/%5/*&),*&#_2+&-#_'*#!<899vU#M,&-#(/*1#&#%&((&#./`&F U&5&32.&./#3&-'*I_23&#.'#Q,#S(TX##G:8A#l"dY!"%'-Y!" U&5&32.&./#3&-'*I_23&#.&#cGNS-TZ##;:8@#l"dY!"%'-Y!" # !:" # C,&+.' # !<8< # 0 # ./ # ,% # 3/*)' # %/)&- # & # 9<8<vU # ([' # &.232'+&.'( # & # @<8< # 0 # ./ # 10,& # & # G<8<vU8 # &# )/%5/*&),*& # _2+&- # D # GA8<vU" # U'+(2./*&+.' # ' # 3&-'* # /(5/3I_23' # .& # 10,& # 3'%' # (/+.' # !8<< # 3&-k0vU8# ./)/*%2+/X &T#&#M,&+)2.&./#./#3&-'*#&=('*B2.'#5/-
,&" =T#'#3&-'*#/(5/3I_23'#.'#%/)&-" # !6"#∆H#5&*&#,%/*)&#*/&`['#D#!<<#l#dY!#%'-Y!"#H/#&#*/&`['#'3'**/#/(5'+)&+/&%/+)/8#M,&-#./B/#(/*#'# (2+&-#./#∆c#5&*&#'#5*'3/(('F # !;"#H,5'+W&#M,/#5&*&#,%#.&.'#5*'3/(('#'#B&-'*#./#∆c#D#:<#ml8#/#M,/#'#B&-'*#./#∆H#D#!G<#l#dY!#%'-Y!"# N#5*'3/(('#D#/(5'+)>+/'#&#G:vUF # !7"#U&-3,-/#∆x#5&*&#,%&#*/&`['#&#@<<#d#M,/#)/%#∆c#20,&-#&#Y#!<98G#m3&-#/#∆H#20,&-#&#@G86#l#dY!" # !9"#i/)/*%2+/#(/#3&.&#,%#.'(#(/0,2+)/(#5*'3/(('(#'3'**/*1#/(5'+)&+/&%/+)/#&#G:zUX &T#∆x#5&*&#'#(2()/%&##r#Y#@8:#ml" =T#∆c#r#Y#!68A#m3&-##/#∆H#r#!!8A#3&-#dY!" 3T#∆c#r#AG8G#m3&-8#/#∆H#r#Y#78!#3&-#dY!" .T#∆c#r#!98G#ml8#/#∆H#r#A!86#l#dY!" /T#∆c#r#768A#ml8#/#∆H#r#789#l#dY!" # G<"#S<&$==>&T#Q#B&*2&`['#/%#/+/*02&*&#'%=,()['#./#!#%'-#./#%/)&+'#SUcAT#/%#,%#32-2+.*'8#./# &3'*.'#3'%#&#*/&`['####UcA#S0T####e####G#NG#S0T######→######UNG#S0T####e####G#cGN#S0T####D##Y#79G8A#ml"##H/# ,%#52()['#/()1#3'+/3)&.'8#'#32-2+.*'#/K/3,)&# #A9G#ml# #./#)*&=&-W'#./#/K5&+(['#./B2.'#\#3'%=,()['"# C,&+)'#3&-'*#D#)*'3&.'#5/-'#(2()/%&F # G!"#S<&$==>(T#N#M,/#D#'#3&-'*#./#_'*%&`['F#n'*#M,/#/-/#D#20,&-#&#J/*'#5&*&#/-/%/+)'(#+&#(,&#_'*%&#%&2(# /()1B/-#+&#)/%5/*&),*&#/#5*/((['#2+.23&.&(F # GG"#S<&$==>(T#$%#./)/*%2+&.'#5*'3/(('#D#*/&-2J&.'#*/((['#3'+()&+)/8#+&#)/%5/*&),*&#./#G;zU"#N# 3&-'*#M,/#/+)*&#+'#(2()/%&#D#./#:#ml8#/+M,&+)'#M,/#'#(2()/%&#*/&-2J&#,%#)*&=&-W'#./#!<#ml" &T#M,&-#D#&#B&*2&`['#./#/+/*02&#.'#(2()/%&F =T#(/#&#B&*2&`['#./#B'-,%/#+/((/#5*'3/(('#_'2#./#!<#^8#M,&-#/*&#*/((['#/K)/*+&F 3T#M,&-#'#(2+&-#.&#B&*2&`['#./#/+)*'52&*&#/()/#3&('F#PK5-2M,/" .T#(/#'#B&-'*#&=('-,)'#./((&#B&*2&`['#./#/+)*'52&#_'*#./#!<#lkd8#M,&-#(/*1#'#B&-'*#.&#B&*2&`['#./#/+/*02&# -2B*/F#N#5*'3/(('#D#/(5'+)>+/'#',#_'*`&.'F#l,()2_2M,/" /T#M,&-#(/*2&#'#3&-'*#)*'3&.'#(/#'#%/(%'#5*'3/(('#_'((/#*/&-2J&.'#*/((['#B&*21B/-#%&(#&#B'-,%/# 3'+()&+)/F # ^/2),*'%5-/%/+)&*X j*&.g8#B'-,%/#G8#3&5I),-'#M$*)(1'7N)'.+/,&-)'.+ P==2+08#B'-,%/#!8#3&5I),-'#M$*)(%&-)'.+ d')J8#B'-,%/#!8#5&*)/#!8#3&5I),-'#?*'7.->'("/1$/@$+#'A'1+1$#SP+/*02&#/#R/&`o/(#C,I%23&(T O&W&+8#3&5I),-'#M$*)(1'7N)'.+/,&-)'.+ j,/+'8#3&5I),-'#M$*)(1'7N)'.+/,&-)'.+ # 214+80#/C+#,-$1$214+8!"*+#,-$$)$$416<862-6$086$1:14,*,#86 # G"#=8#38#. @"#M##r#e#!<8<#mlZ#∆$#r#e#!<8<#mlZ#∆c#r#e#!<8<#mlZ#|#r#< A"#M#r#e#78<#mlZ#∆$#r#e#:8<#mlZ#∆c#r#e#78<#mlZ#|#r#Y#@8<#ml :"#M#r#Y#78<#mlZ#∆$#r#Y#!<8<#mlZ#∆c#r#Y#78<#mlZ#|#r#Y#G8<#ml 6"#Y#G<8GA#m3&-k%';"#Y#G<G86#m3&-k%'7"#∆c3'%="#SU!<c7T#r#Y!8G@#K#!<@#m3&-k%'-Z##∆c3'%="#SU!GcGGN!!T#r#Y!8@:#K#!<@#m3&-k%'9"#&T#Y#GA866#m3&-k%'-##=T#e!@8<A#m3&-k%'-##3T#Y#!98GA#m3&-k%'!<"#e#7@8:#m3&-k%'!!"#Y#G<;8<G#m3&-k%'!G"#G89G#ml !@"#Y#A:;#l !A"#GA8;#0 !:"#&T#!G<#3&-##=T#<8!7G#3&-"0#Y!"dY! !;"#∆x##r#e#!A8GA#ml######⇒######5*'3/(('#+['#/(5'+)>+/' !7"#∆x##r#Y#A668;#ml#',#∆x#r#Y#!!!8:#m3&!9"#&T#∆x#}#<#####⇒######5*'3/(('#/(5'+)>+/'### ######=T#∆x##r#Y#!987#m3&-######⇒######5*'3/(('#/(5'+)>+/' ######3T#∆x#r#e#AA86#m3&-#####⇒#####5*'3/(('#+['#/(5'+)>+/'## ######.T#∆x#r#e#687#ml#######⇒######5*'3/(('#+['#/(5'+)>+/' ######/T#∆x##r##e##7@8;:#ml#######⇒######5*'3/(('#+['#/(5'+)>+/' G<"#~#A<<8A#ml GG"#&T#~#:<<<#l##=T#9876#&)%##3T#∆H#•#<##.T#∆x#r#G<<<#l##/T#~#:<<<#l !"#$%&'&(&$$)$$!"*+#,-$."/0-+1/2-3 ,#/D2#,-$!"*+#,-$$$$)$$$$1:14,*,#86 ## !" # n&*& # 3&.& # ,%& # .&( # (/0,2+)/( # */&`o/(8 # 2+.2M,/ # 3'%' # & # B/-'32.&./ # ./ # ./(&5&*/32%/+)' # ./ # 3&.&# */&0/+)/#/()1###*/-&32'+&.'%#&#B/-'32.&./#./#&5&*/32%/+)'#./#3&.*'.,)'X &T#cGNG#S0T######→#####cG#S0T##########e##########NG#S0T =T#O+NG#S(T#########e##########O+#S(T######→#####G#O+N#S(T 3T#G#U6c!A#S-T#######e#######!@#NG#S0T#####→####!G#UNS0T########e#######!A#cGN#S0T # G"#H/#Y.€bG•k.)8#5&*&#&#*/&`['#/%#_&(/#0&('(&###bG####e####@#cG#####→####G#bc@8#D#G86<#K#!<Y@#%'-"^Y!"(Y!8# M,&-#D#Y.€cG•k.)F # @"#U'+(2./*/#'%=,()['#.'#cG# S0T8#######G#cG#S0T#######e#######N G#S0T#########→########G#cGN#S0T"##H/#'# W2.*'0L+2'#D#M,/2%&.'##\#B/-'32.&./#./#A86#%'-"(Y!8#M,&-#D#&#B/-'32.&./#./#3'+(,%'#./#'K20L+2'F#C,&-# D#&#B/-'32.&./#./#_'*%&`['#./#B&5'*#.w10,&F # A"#Q#*/&`['######G#bNS0T########e#######U-G#S0T#########→#######G#bNU-#S0T######D#-/B&.&#&#)/*%'#/%#,%#*/3252/+)/# _/3W&.'"#H/#*/((['#5&*32&-#.'#bN#/()1#./3*/(3/+.'#&#,%&#B/-'32.&./#./#@<#%%c0"#%2+ Y!8#M,&-#D#&# B/-'32.&./#./#%,.&+`&##.*/((['#)')&-#.'#*/3252/+)/F # :"#Q#B/-'32.&./#./#./(&5&*/32%/+)'#./#ce#_'2#%/.2.&*&#&#*/&`['#&#(/0,2*X #####Uc@Nc#S&MT######e######cU-S&MT########→ ######Uc@U-S&MT######e#####cGN#S-T #####%/)&+'-###############132.'#3-'*I.*23'###############3-'*'%/)&+' #####N(#(/0,2+)/(#.&.'(#_'*&%#3'-/)&.'(X#####]/%5'#S%2+T#################€ce•##S%'-k^T #########################################################################<##"#"#"#"#"#"#"#"#"#"#"#"#"#"##!87: #########################################################################;9##"#"#"#"#"#"#"#"#"#"#"#"#"#"#!86; #########################################################################!:7##"#"#"#"#"#"#"#"#"#"#"#"#"#!8:G #########################################################################@!6##"#"#"#"#"#"#"#"#"#"#"#"#"#!8@< #########################################################################6@G##"#"#"#"#"#"#"#"#"#"#"#"#"#!8<< U&-3,-/#&#B/-'32.&./#%D.2&#.&#*/&`['#5&*&#'#2+)/*B&-'#./#)/%5'#/+)*/#3&.&#%/.2.&" # 6"#$(&+.'#'(#.&.'(#_'*+/32.'(#+'#/K/*3I32'#&+)/*2'*8#_&`&#,%#0*1_23'#./#€c e•#B/*(,(#)/%5'"#i/(/+W/# )&+0/+)/(#\#3,*B&#/%#)#r#!<<#%2+#/#)#r#:<<#%2+"#U&-3,-/#&(#B/-'32.&./(#2+()&+)>+/&(#+/((/(#5'+)'(" # ;"#b&#*/&`['#W25')D)23&8#+&#M,&-#&#/)&5&#./)/*%2+&.'*&#.&#B/-'32.&./#D###Q##e###G#j##→###U#e###i8###M,&-# (/*1#'#/_/2)'#('=*/#&#B/-'32.&./#.&#*/&`['#M,&+.'#X#S&T#(/#.,5-23&#'+3/+)*&`['#./#QZ#S=T#(/#.,5-23&#&# 3'+3/+)*&`['#./#j" # 7"#Q#B/-'32.&./#./#,%/*)&#*/&`['####jS0T######→#####n#####D#<8<<:<#%'-"^Y!"(Y!8#M,&+.'#'+3/+)*&`['# ./##j#D#<8G<<#%'-"^Y!"#C,&-#D#'+()&+)/#./#B/-'32.&./8#m8#(/#&#*/&`['#D#X &T#./#'*./%#J/*'#/%#*/-&`['#&#jF##=T#./#5*2%/2*&#'*./%#/%#*/-&`['#&#jF##3T#./#(/0,+.&#'*./%#/%# */-&`['#&#jF 9"#h/*2_23&Y(/8#/K5/*2%/+)&-%/+)/8#M,/#&#B/-'32.&./#./#_'*%&`['#./#U8#5/-&#*/&`['#G#QS0T#e#jS0T#→ US0T#2+./5/+./#.'+3/+)*&`['#./#j#/#M,&.*,5-23&8#M,&+.'#(/#.'=*&#'+3/+)*&`['#./#Q" &T#P(3*/B&#,%&#/K5*/((['#%&)/%1)23&#.&#-/2#.&#B/-'32.&./#5&*&#/()&#*/&`['" =T#H/#&#B/-'32.&./#2+232&-#./#_'*%&`['#./#U#D#:#K#!<YA#%'-"^Y!"%2+Y!8#M,&+.'#&(#3'+3/+)*&`o/(#./#Q#/# ./#j#(['#<8G#%'-"^Y!#/#<8@#%'-"^Y!#*/(5/3)2B&%/+)/8#M,&-#D#'+()&+)/#/(5/3I_23&#./#B/-'32.&./F 3T#C,&-#(/*1#&#B/-'32.&./#2+232&-#M,&+.'#&(#3'+3/+)*&`o/(#2+232&2(#./#Q#/#./#j#_'*/%#<8@#%'-"^Y!#/#<8:# %'-"^Y!8#*/(5/3)2B&%/+)/F # !<"#h/*2_23',Y(/#/K5/*2%/+)&-%/+)/8#M,/#&#B/-'32.&./#./#,%&#*/&`['#M,I%23&8#/+)*/#&(#(,=()>+32&(#Q#/# j8#B&*2'%#&(#3'+3/+)*&`o/(#2+232&2(#./#Q#/#./#j8#.&#(/0,2+)/#%&+/2*&X ##########€Q•#S%'-"^Y!T"##################€j•#S%'-"^Y!T##################h/-'3"#2+232&-#./#_'*%&`['#.'#5*'.,)' ###############!####################################!######################################G#K#!<Y@#%'-"^Y!"%2+Y! ###############G####################################!######################################A#K#!<Y@#%'-"^Y!"%2+Y! ###############!####################################G######################################A#K#!<Y@#%'-"^Y!"%2+Y! &T#Q#5&*)2*#./()/(#.&.'(8#/(3*/B&#,%&#/K5*/((['#5&*&#&#-/2#.&#B/-'32.&./8#5&*&#/()&#*/&`['8#*/-&32'+&+.'# &#B/-'32.&./#3'%#'+3/+)*&`['#.'(#*/&0/+)/(" =T##U&-3,-/#'+()&+)/#/(5/3I_23&#./#B/-'32.&./#5&*&#/()&#*/&`[' # !!"#U'+(2./*/#&#*/&`['#.'#I'+#5/*(,-_&)'8#HGN7GY8#3'%#'#I'+#2'./)'8#pY8#/%#('-,`['#&M,'(& HGN7GYS&MT######e#######@#pYS&MT#######→######G#HNAGYS&MT#######e#######p@YS&MT P%#,%&#)/%5/*&),*&*)23,-&*8#&#B/-'32.&./#./()&#*/&`['#B&*2'%#'+3/+)*&`['#.'#*/&0/+)/#.&# (/0,2+)/#_'*%&X # ###PK5"#+v####################€H GN7GY•#%'-"^Y!# ############€p Y•#%'-"^Y!#####################Y#∆#€HGN7GY•#k#∆#)# %'-"^Y!"(Y! #######!##"#"#"#"#"#"#"#"#"####################<8<@7##"#"#"#"#"#"#"#"#"#"#"#"#<8<6<##"#"#"#"#"#"#"#"#"#"#"#"#"#"#"#"#!8A#K#!<Y: #######G##"#"#"#"#"#"#"#"#"####################<8<;6##"#"#"#"#"#"#"#"#"#"#"#"#<8<6<##"#"#"#"#"#"#"#"#"#"#"#"#"#"#"#"#G87#K#!<Y: #######@##"#"#"#"#"#"#"#"#"####################<8<;6##"#"#"#"#"#"#"#"#"#"#"#"#<8<@<##"#"#"#"#"#"#"#"#"#"#"#"#"#"#"#"#!8A#K#!<Y: &T#P(3*/B&#&#-/2#./#B/-'32.&./#5&*&#&#B/-'32.&./#./#./(&5&*/32%/+)'#./#HGN7GY" =T#C,&-#D#'#B&-'*#.'+()&+)/#./#B/-'32.&./#5&*&#'#./(&5&*/32%/+)'#./#HGN7GYF 3T#C,&-#D#&#B/-'32.&./#./#./(&5&*/32%/+)'#./#HGN7GY#M,&+.'#€HGN7GY•#r#<8<G:#%'-"^Y!#/#€pY•#r#<8!<<# %'-"^Y! .T#C,&-#D#&#B/-'32.&./#./#&5&*/32%/+)'#./#HN AGY# M,&+.'#€HGN7GY•#r#<8<G:#%'-"^Y!# /#€pY•#r#<8<:<# %'-"^Y! !G"#N(#.&.'(#&#(/0,2*#_'*&%#%/.2.'(#5&*&#&#*/&`['#####ja@#S(T###e####bc@#S0T#####→#####a@jbc@#S0T PK5"#+v############€ja@•'#S%'-"^Y!T#############€bc@•'#S%'-"^Y!T#############B'#S%'-"^Y!"(Y!T ######!##"#"#"#"#"#"#"#"#"###########<8G:<##"#"#"#"#"#"#"#"#"#"#"#"#<8G:<##"#"#"#"#"#"#"#"#"#"#"#"#"#"#"#"#<8G!@< ######G##"#"#"#"#"#"#"#"#"###########<8G:<##"#"#"#"#"#"#"#"#"#"#"#"#<8!G:##"#"#"#"#"#"#"#"#"#"#"#"#"#"#"#"#<8!<6: ######@##"#"#"#"#"#"#"#"#"###########<8G<<##"#"#"#"#"#"#"#"#"#"#"#"#<8!<<##"#"#"#"#"#"#"#"#"#"#"#"#"#"#"#"#<8<67G ######A##"#"#"#"#"#"#"#"#"###########<8@:<##"#"#"#"#"#"#"#"#"#"#"#"#<8!<<##"#"#"#"#"#"#"#"#"#"#"#"#"#"#"#"#<8!!9@ ######:##"#"#"#"#"#"#"#"#"###########<8!;:##"#"#"#"#"#"#"#"#"#"#"#"#<8!<<##"#"#"#"#"#"#"#"#"#"#"#"#"#"#"#"#<8<:96 &T#C,&-#D#&#-/2#./#B/-'32.&./#5&*&#&#*/&`['F =T#C,&-#D#&#'*./%#0-'=&-#.&#*/&`['F 3T#C,&-#D#'#B&-'*#.'+()&+)/#./#B/-'32.&./#5&*&#&#*/&`['F # !@"#n&*&#&#*/&`['###G#bGN:#S0T######→#####A#bNG#S0T###e####NG#S0T8###&#/+/*02&#./#&)2B&`['8#P &8#/#&#B&*2&`['# ./#/+/*02&8 #∆x8#(['#*/(5/3)2B&%/+)/8#!<<#ml"%'-Y!# /#Y#G@#ml"%'-Y!"#i/(/+W/#'#.2&0*&%&#./#/+/*02&# 5&*&#/()&#*/&`['" # !A"#U'%'#B'3L#/K5-23&#'#_&)'#./#M,/#&#*/&`['####UNS0T###e###bNG#S0T#→######UNG#S0T###e####bN#S0T8 &T#N3'**/#-/+)&%/+)/#\#)/%5/*&),*&#&%=2/+)/8#&5/(&*#./#∆x#r#Y#:@#m3&-F =T#N3'**/#*&52.&%/+)/#&#&-)&(#)/%5/*&),*&(F # !:"#PK5-2M,/#=*/B/%/+)/8#%&(#3'%#3-&*/J&8#5'*#M,/X &T#)'.&(#&(#3'-2(o/(#/+)*/#%'-D3,-&(#*/&)&+)/(#+['#-/B&%#\#*/&`['" =T#&#*/&`['###QS0T####e#####jS0T#####→####5*'.,)'(#+['#D#+/3/((&*2&%/+)/#./#(/0,+.&#'*./%#0-'=&-" 3T#&#/)&5&#-/+)&#+'#%/3&+2(%'#./)/*%2+&#&#B/-'32.&./#0-'=&-#.&#*/&`['" # !6"#$%&#*/&`['#/%#('-,`['#D#3&)&-2(&.'*#%/)&-"#N#M,/#B'3L#/(5/*&*2&#M,/#_'((/#,%#3&)&-2(&.'*#%&2(# /_/)2B'X#,%#5/.&`'#(4-2.'#./#_/**'#%/)1-23'#',#,%&#%&((,&-#./#-2%&-W&#./#_/**'F#PK5-2M,/" # !;"#S<&$==>&T#N(#.&.'(#&#(/0,2*#_'*&%#'=)2.'(#5&*&#&#*/&`['####Q###e###j###e####U#####→####n*'.,)'(X ############################################################U'+3/+)*&`['#2+232&-#S%'-"^ Y!T###########B/-'32.&./#2+232&-# S%'-"^Y!"(Y!T ########################PK5/*2%/+)'###################€Q•'#########€j•'########€U•' ################################!############################!8G:########!8G:#######!8G:####################################7"; ################################G############################G8:<########!8G:#######!8G:##################################!;"A ################################@############################!8G:########@8<G#######!8G:##################################:<"7 ################################A############################!8G:########@8<G#######@8;:################################A:;"< ################################:############################@8<!########!8<<#######!8!:####################################F S&T##P(3*/B&#&#-/2#./#B/-'32.&./#5&*&#/()&#*/&`['" S=T##C,&-#&#'*./%#0-'=&-#.&#*/&`['F S3T##i/)/*%2+/#'#B&-'*#.'+()&+)/#./#B/-'32.&./" S.T##n*/.20&#'#B&-'*#.&#B/-'32.&./#2+232&-#5&*&#'#/K5/*2%/+)'#+f%/*'#:" # !7" # S<& $ ==>&T # &T # i/(/+W/ # ,% # .2&0*&%& # ./ # /+/*02& # 5&*& # ,%& # */&`[' # /K')D*%23&8 # 3&)&-2(&.& # / # +['# 3&)&-2(&.&"#Q((2+&-/#)'.'(#'(#5'((IB/2(#5&*>%/)*'(#)/*%'.2+>%23'(#/#32+D)23'(" =T##$%#3&)&-2(&.'*#.2%2+,2#&#/+/*02&#./#&)2B&`['#.&#*/&`['#2+B/*(&#/%#!:#mlk%'-"#PK5-2M,/#(/#/#3'%'#&# /+/*02&#./#&)2B&`['#.&#*/&`['#.2*/)&#(/*1#&_/)&.&"# !9"#S<&$==>(T#n&*&#&#*/&`['#G#Q#S0T#e#j#S0T#→##US0T#e#i#S&MT#_'*&%#./)/*%2+&.'(#'(#(/0,2+)/(#.&.'(X nQ#S&)%T nj#S&)%T B/-'32.&./ # 2+232&-# S&)%k(T <8<A< <8A9< <8!7< <8G:< <8G<< <8G:< <8;<< <8:<< <8@<< # &T#./)/*%2+/#&#-/2#./#B/-'32.&./#3'%5-/)&*&#&#*/&`[' =T#M,&-#&#(,&#'*./%#0-'=&-F 3T#M,&-#'#(/+)2.'#.&#B&*2&`['#./#5*/((['#+'#*/3252/+)/F .T#5&*&#nQ#r#G#&)%#/#nj#r#!#&)%#S5*/((o/(#2+232&2(T#M,&2(#(/*['#'(#-2%2)/(#2+_/*2'*#/#(,5/*2'*#.*/((['# )')&-F# # G<"#S<&$==>(T#n&*&#&#*/&`['#./#_'*%&`['#.&#&%E+2&#bGS0T#e#@#cG#S0T#→#G#bc@#∆x#r#Y@;@#m3&-#/#P&)#r# G:#m3&-" &T#)*&3/#'#.2&0*&%&#./#/+/*02&*&#/()&#*/&`[' =T#)*&3/#'#.2&0*&%&#./#/+/*02&*&#/()&#*/&`['#*/&-2J&.&#+*/(/+`&#./#,%#3&)&-2(&.'*#&5*'5*2&.' # ^/2),*'%5-/%/+)&*X # j*&.g8#B'-,%/#G8#3&5I),-'#8'75#'.+/,&-)'.+ P==2+08#B'-,%/#G8#3&5I),-'#A$4(.'1+1$"/1+"/@$+<=$" d')J8#B'-,%/#G8#5&*)/#A8#3&5I),-'#?*'7.->'("/1$/@$+#'A'1+1$#SU2+D)23&#C,I%23&T O&W&+8#3&5I),-'#8'75#'.+/,&-)'.+ j,/+'8#3&5I),-'#8'75#'.+/,&-)'.+ ,#/D2#,-$!"*+#,-$$)$416<862-6$086$1:14,*,#86 # !"#&T#Y#∆#€cGNG•#k#∆#)#r#∆#€cG•#k#∆#)#r#∆#€NG•#k#∆#) ####=T#Y#∆#€O+NG•#k#∆#)#r#Y#∆#€O+•#k#∆#)#r#!kG#∆#€O+N•#k#∆#) ####3T#Y#!kG#∆#€U6c!A•#k#∆#)#r#Y#!k!@#∆#€NG•#k#∆#)#r#!k!G#∆#€UN•#k#∆#)#r#!k!A#∆#€cGN•#k#∆#) G"#;87<#K#!<Y@#%'-^Y!(Y! @"#BNG#r#G8@#%'-(Y!#/#BcGN#r#A86#%'-(Y! A"#Y#!:#%%c0%2+Y! :"#########<#&#;9#%2+#"#"#"#"#"#"#"#"#"#"#"#"#"#G8G;7:#K#!<Y@ ############;9#&#!:7#%2+#"#"#"#"#"#"#"#"#"#"#"#!8797;#K#!<Y@ ############!:7#&#@!6#%2+#"#"#"#"#"#"#"#"#"#"#!8@9GA#K#!<Y@ ############@!6#@G#%2+#"#"#"#"#"#"#"#"#"#"#<89A9A#K#!<Y@ ;"#&T#.,5-23&Z##=T#M,&.*,5-23& 7"#&T#:8<#K#!<Y@#%'-^Y!#(Y!Z##=T#G8:#K#!<YG#(Y!##3T#!8G:#K#!<Y!#^%'-Y!(Y! 9"#&T#B#r#m€Q•G##=T#!8G:#K#!<YG#^%'-Y!%2+Y!##3T#!8!G:#K#!<Y@#%'-^Y!%2+Y! !<"#&T#B#r#m€Q•€j•##=T#G#K#!<Y@#^%'-Y!%2+Y! !!"#&T#B#r#m#€HGN7GY•€pY•# #=T#68!A#K#!<Y@# ^%'-Y!(Y!# #3T#!8:@:#K#!<Y:# %'-^Y!(Y!# #.T#!8:@:#K#!<Y:# %'-^Y!(Y! !G"#&T##B#r#m#€ja@•€bc@•#=T#G‚#'*./%##3T#@8A<7#^%'-Y!(Y! !@"# !;"#&T#B#r#m€Q•€j•G€U•G##=T#:##3T#G87:#^A%'-YA(Y!##.T#!!8@:#%'-^Y!(Y! !9"#&T#B#r#A#(Y!&)%YGnQnjG##=T#@##3T#.2%2+,2##.T#n%1K#r#@#&)%8#n%I+#r#!#&)% # # !"#$%&'&(&$)$!"*+#,-$."/0-+1/2-3 1!"#3*E4#8$!"*+#,8$)$1:14,*,#86 # !"#P(3*/B&#&#-/2#./#&`['#.&(#%&((&(8#5&*&#d3#./#3&.&#,%#.'(#(/0,2+)/(#(2()/%&(X &T#G#cG#S0T#e#NG#S0T#↔#G#cGN#S0T =T#UcA#S0T#e#G#NG#S0T#↔#UNG#S0T#e#G#cGN#S0T 3T#UcA#S0T#e#G#NG#S0T↔#UNG#S0T#e#G#cGN#S-T .T#nA#S(T#e#@#NG#S0T↔#nAN6#S0T /T#H+NG#S(T#e#G#UN#S0T↔#H+#S(T#e#G#UNG#S0T _T#bc@#S0T#e#cGN#S-T#↔ bcAe#S&MT#e#NcYS&MT # G"#U&-3,-/#d5#5&*&#&#*/&`['#nU-@#e#U-G#↔#nU-:8#(&=/+.'#M,/8#+'#/M,2-I=*2'8#&(#5*/((o/(#5&*32&2(#(['# nU-@#r#<8G#&)%8#U-G#r#<8!#&)%#/#nU-:#r#!8G#&)%" # @"#n&*&#'#(2()/%&#G#cp #S0↔# cG#S0T# e#pG# S0T8#/+3'+)*',Y(/#M,/8#(/#3'%/`&%'(#3'%#cp#5,*'#&#,%&# 3'+3/+)*&`['#./#<8:<#%'-k^8#(,'+3/+)*&`['#+'#/M,2-I=*2'#D#<8!<#%'-k^"#C,&-#'#d3#5&*&#&#*/&`['F # A"#Q#G"<<<'#U8#!?#.'#B&5'*#.w10,&#(/#&3W&#./3'%5'()'#/%#W2.*'0L+2'#/#'K20L+2'"#U&-3,-/#d38#5&*&#&# */&`['#*/B/*(IB/-#cGN#S0T↔#cG# S0T#e#!kG#NG# S0T8#3'%/`&+.'#3'%#,%'+3/+)*&`['#./#B&5'*#.w10,&# ./#!#%'-#5'*#-2)*'" # :"#$%#%'-#5'*#-2)*'#./#cUcN#_'2#3'-'3&.'#+,%#*/3252/+)/#./#*/&`['#/#&M,/32.'#\#)/%5/*&),*&#./#:<< '# U8#)/+.'#(/#/()&=/-/32.'#'#(/0,2+)/#/M,2-I=*2'X#cUcN#S0T↔#cG#S0T#e#UN#S0T"#b'#/M,2-I=*2'8#B/*2_23',Y (/#M,/#'#*/3252/+)/# 3'+)2+W&#<8G<#%'-#./#cG# 5'*#-2)*'8#&#/()&#)/%5/*&),*&"#U&-3,-/#'+()&+)/#./()/# /M,2-I=*2'" # 6"#C,&+.'#'#3&-31*/'#D#&M,/32.'8#./3'%5o/Y(/#(/0,+.'#&#*/&`['#U&UN @#S(T↔U&N #S(T# e#UNG#S0T# P+3'+)*',Y(/#M,/8#M,&+.'#(/#3'%/`'%#!8G:#%'-#./#U&UN@#/%#,%#*/3252/+)/#./#:8<#-2)*'(#&#!"<<<'# U8#A<?#.'#3&-31*/'#(/#./3'%5o/" &T#b'#/M,2-I=*2'8#M,&-#D#&#€UNG•F =T#C,&-#D#'#d3#5&*&#&#*/&`['F 3T#C,&+)'(#0*&%&(#./#U&N#(['#_'*%&.&(F # ;"#Q#3'+()&+)/#./#/M,2-I=*2'#5&*&#&#*/&`[' #UNS0T# e#cGN #S0T# ↔# cG# S0T# e#UNG#S0T# #D#A8<#&#,%&# ./)/*%2+&.&#)/%5/*&),*&"#U&-3,-/#'+3/+)*&`['#./#cG8#&#/()&#)/%5/*&),*&8#(&=/+.'#M,/#'(#%&)/*2&2(# ,(&.'(#2+232&-%/+)/#_'*&%#G#%'-#./#UN#/#G#%'-#./#cGN#5'*#-2)*' # 7" # Q # ,%& # 3/*)& # )/%5/*&),*&8 # ' # UNU-G8 # _'(0L+2'8 # 2+232&-%/+)/ # & # !8< # %'-k^ # /()1 # :<? # .2(('32&.'8# _'*%&+.'#UN#/#U-G8#./#&3'*.'#3'%#&#*/&`['#UNU-G#S0T# ↔ UN# S0T# e#U-G#S0T"#C,/#M,&+)2.&./#./# UNU-G#./B/#(/*#3'-'3&.&#+,%#*/3252/+)/#./#!#-2)*'#./#%'.'#M,/#G:?#.'#UNU-G#)')&-#(/#.2(('32/#+/()&# )/%5/*&),*&F # 9"#U'+(2./*/#'#/M,2-I=*2'X#bG#S0T# e#@#cG#S0T# ↔# G#bc@#S0T# e#GG8<#m3&-"#$%&#%2(),*&#./()&(#)*L(# (,=()>+32&( # &-3&+`&# '# /M,2-I=*2' # & #G<<'# U"#n*/B/V&# ' #(/+)2.' # +'# M,&- #' # (2()/%&# (/ #./(-'3&*1# 5&*&# */()&=/-/3/*#'#/M,2-I=*2'#(/X &T#!#%'-#./#cG#D#*/%'B2.' =T#*/((['#)')&-#D#&,%/+)&.'*#&.2`['#./#cG 3T#'#B'-,%/#.'#*/3252/+)/#D#*/.,J2.' .T#&#)/%5/*&),*&#D#&,%/+)&.&*&#@<<'#U # !<"#Q((,%&#M,/#'+3/+)*&`['#./#cG8#pG# /#cp#5'./#(/*#%/.2.&*&#&#(/0,2+)/#*/&`['#&#M,&-M,/*# %'%/+)'" cG # S0Te # pG # S0T# ↔# G # cpS0T" # H&=/+.' # M,/ # d3# r # 6<8 # 5&*& # 3&.& # ,% # .'( # (/0,2+)/( # 3'+V,+)'( # ./# 3'+3/+)*&`o/(8#./)/*%2+/#(/#&#*/&`['#/()1#/%#/M,2-I=*2'#/8#3&('#+['#/()/V&8#/%#M,/#.2*/`['#/-&#./B/# (/0,2*#5&*&#&)2+0IY-'" &T#€cG•#r#€pG•#r#€cp•#r#<8<!<#%'-k^ =T#€cp•#r#<8@<#%'-k^Z#€cG•#r#<8<!#%'-k^Z#€pG•#r#<8!:#%'-k^ 3T#€cG•#r#€cp•#r#<8!<#%'-k^Z#€pG•#r#<8<<!<#%'-k^ # !!"#i/#M,/#%&+/2*'./*1#,%#&,%/+)'#./#)/%5/*&),*&#&_/)&*#'(#(/0,2+)/(#/M,2-I=*2'(F &T#cG#S0T#e#j*G#S0T#↔#G#cj*########################∆c#r#Y#!687#m3&=T#US.2&%&+)/T↔##US0*&_2)/T#########################################∆c#r#Y#9<<#3&- 3T#UNG#S0T#e#G#HN@#S0T↔##UHG#S0T#e#A#NG#S0T##############∆c#r#G6:#m3&- .T#US(T#e#G#HS(T↔##UHG#S0T######################################∆c#r#Y#@<86#m3&# !G"#h/*2_23',Y(/#M,/#,%&#%2(),*&#/%#/M,2-I=*2'#3'+)D%#<86#%'-#./#HN G8#<8G#%'-#./#bNG8#<87#%'-#./# HN@#/#<8@#%'-#./#bN#5'*#-2)*'"#C,&+)'(#%'-(#./#bN G#5'*#-2)*'#./B/%#(/*#&.232'+&.'(#&'#*/3252/+)/8#&# _2%#./#&,%/+)&*#'+3/+)*&`['#./#bN#+'#/M,2-I=*2'8#5&*&#<8:#%'-k-2)*'F Q#*/&`['#D#HNG#S0T#e#bNG#S0T#↔#HN@#S0T#e#bNS0T # !@"#b,%#*/3252/+)/#./#!#-2)*'#/()['#/%#/M,2-I=*2'8#<8G#%'-#./#pG8#<86#%'-#./#cp#/#<8!#%'-#./#cG8# 2%5-23&.'(#+&#*/&`['#cG#S0T#e#pG#S0T↔#GcpS0T"#U&-3,-/#'+()&+)/#5&*&#/()/#/M,2-I=*2'"#C,&-#&#+'B&# 3'+3/+)*&`['#./#cp#M,&+.'#(/#&.232'+&%#<8G#%'-#./#cG#&'#*/3252/+)/F # !A" # i'2( # %'-( # ./ # bNG# ([' # 3'-'3&.'( # +,% # */3252/+)/ # ./ # ! # -2)*' # / # &)2+0/% # ' # /M,2-I=*2'8 # & # ,%&# )/%5/*&),*&#/%#M,/#d3#r#;8!:8#5&*&#&#*/&`['#G#bNG#S0T↔##bGNA#S0T"#C,&+)'(#%'-(#./#bNG#/K2()/%# +'#/M,2-I=*2'F # !:"#H&=/+.'Y(/#('%/+)/#'#B&-'*#./#d8#M,&-#.'(#.'2(#(2()/%&(#B'3L#/(3'-W/*2&*&#_2K&`['#./#+2)*'0L+2'# 0&('('#/#5'*M,LF &T#bG#S0T#e#NG#S0T↔##G#bN#S0T###########d3#r#!#K#!<Y@<#&#G:'#U =T#bG#S0T#e#@#cG#S0T↔##G#bc@#S0T#######d3#r#:#K#!<7#&#G:'#U # !6"#N#4K2.'#+I)*23'#SbNT8#,%#2%5'*)&+)/#3'+)&%2+&.'*#.'#&*8#D#_'*%&.'#&*)2*#./#(/,(#/-/%/+)'(#&# &-)&(#)/%5/*&),*&(8#)&2(#3'%'#&M,/-&(#'=)2.&(#M,&+.'#�&('-2+&#M,/2%&#/%#,%#%')'*#./#&,)'%4B/-"#Q# G"<<<'#U8#d3#5&*&#&#*/&`['#bG#S0T#e#NG#S0T↔#G#bNS0T#D#<8!<"#n*/.20&#&#.2*/`['#+&#M,&-#'#(2()/%&#(/# ./(-'3&*1#5&*&#&-3&+`&*#'#/M,2-I=*2'#&#G"<<<'#U#(/#3'%/`&*#3'% &T#!86G#%'-#./#bG#/#!86G#%'-#./#NG#/%#,%#*/3252/+)/#./#G#-2)*'(" =T#A8<#%'-#./#bG8#!8<#%'-#./#NG#/#<87<#%'-#./#bN#/%#,%#*/3252/+)/#./#G<#-2)*'(" # !;"#n&*&#&#*/&`['#G#HNGS0T#e#NG#S0T↔##G#HN@#S0T8#d5#r#G8:#K#!<GA"#C,&-#D#&#d3#5&*&#/()/#/M,2-I=*2'#&# G:'#UF # !7"#Q#G:'# U8#/%#,%&#%2(),*&#./#bGNA# /#bNG# /%#/M,2-I=*2'8#&#,%*/((['#)')&-#./#<87AA#&)%8#&# 5*/((['#5&*32&-#.'#bGNA#D#<8:6@#&)%"#U&-3,-/#d5#/#d3#5&*&#&#*/&`['#bGNA#S0T↔##G#bNG#S0T # !9"#S<($==>&T#Q#*/&`['#bGNA#S0↔# G#bNG#S0T# D#./2K&.&#&)2+02*#'#/M,2-I=*2'#/%#('-,`['#&#G:vU"#Q(# 3'+3/+)*&`o/(#/%#/M,2-I=*2'#(['X##€bGNA•#r#<8A<:#%'-k^#/#€bNG•#r#G8!@#%'-k^" &T#3&-3,-/#d3#5&*&#&#*/&`[' =T#,%#&.232'+&-#./#!8<<#%'-#./#bNG# D#&.232'+&.'#&'#*/3252/+)/8#3,V'#B'-,%/#D#!#^#/#'#(2()/%&#D# ./2K&.' #&)D#&)2+02*#+'B&%/+)/#'#/M,2-I=*2'8#+&#%/(%&#)/%5/*&),*&"#U&-3,-/#&(#3'+3/+)*&`o/(#+/()/# /M,2-I=*2'#_2+&-" # G<"#S<($==>&T#$%&#%2(),*&#*/&32'+&-#3'+(2()2+.'#./#G8<<#%'-#./#UN#/#@8<<#%'-#./#c G#_'2#3'-'3&.&#/%# ,%#*/&)'*#./#!8<#^#/#&M,/32.&#&# #!G<<#d"#b'#/M,2-I=*2'8#<8A;7#%'-#./#Uc A# /()&B&%#5*/(/+)/(#+'# (2()/%,V&#*/&`['#D#"#UNS0T#e#@#cG#S0T↔##UcA#S0T#e#cGNS0T" &T#M,&2(#(['#&(#3'+3/+)*&`o/(8#+'#/M,2-I=*2'8#./#)'.&(#&(#(,=()>+32&(#5*/(/+)/(F## =T#M,&-#D#'#B&-'*#./#d3F # G!"#S<($==>&T#Q#*/&`['#./#_')'((I+)/(/#D##6#UNG#S0T#e#6#cGNS-T↔#U6c!GN6#S(T#e#6#NG#S0T#/#∆cv#r#e# G7<G#mlX%'-"#H,5'+.'#M,/#&#*/&`['#/()/V&#/%#/M,2-I=*2'8#.20&8#V,()2_23&+.'8#M,&-#(/*1#'#/_/2)'#./#3&.&# ,%&#.&(#(/0,2+)/(#5/*),*=&`o/(##+'#(/+)2.'##.'#/M,2-I=*2'X &T#*/((['#5&*32&-#./#NG#D#&,%/+)&.&" =T#'#(2()/%&#D#3'%5*2%2.' 3T#&#M,&+)2.&./#./#UNG#D#&,%/+)&.& .T#&#)/%5/*&),*&#D#.2%2+,I.& /T#*/((['#5&*32&-#.'#UNG#D#.2%2+,I.&" # GG"#S<($==>(T#!"#U'+(2./*/#'#(/0,2+)/#/M,2-I=*2'X#QS&MT↔#jS&MT#5&*&#'#M,&-#d3#r#<8!"#H/#/%#,%#-2)*'#./# ('-,`['#&.232'+&*%'(#<8!#%'-#./#Q#&#<8!#%'-#./#j8#M,&2(#B['#(/*#&(#3'+3/+)*&`o/(#./#Q#/#j#+'# /M,2-I=*2'F # 23. (P2 99/2) A 25o C, 0,0560 mol de O2 e 0,020 mol de N2O foram colocados em um recipiente de 1,00 L e reagiram de acordo com a equação 2N 2O(g) + 3O2(g) ! 4NO2(g). Quando o sistema atingiu o equilíbrio, a concentração de NO2 encontrada foi de 0,020 mol/dm3. &T#C,&2(#&(#3'+3/+)*&`o/(#.'#bGN#/#NG8#+'#/M,2-I=*2'F =T#C,&-#'#B&-'*#./#d3#5&*&#/((&#*/&`['8#&#G:'UF # GA"#S<($==>(T#n&*&#'#/M,2-I=*2'#0&('('#/+)*/#bN#/#NG#_'*%&+.'#bNG8#SG#bNS0T#e#NGS0T##↔#G#bNGS0T#T# '+()&+)/#./#/M,2-I=*2'#D#d3#r#68A:#K#!<:" &T#/%#M,/#3'+3/+)*&`['#./#NG##&(#3'+3/+)*&`o/(#./#bNG#/#./#bN#(['#20,&2(F =T#/%#M,/#3'+3/+)*&`['#./#NG# '+3/+)*&`['#./#bNG#D#!<<#B/J/(#%&2'*#.'#M,/#'+3/+)*&`['#./# bNF # ^/2),*'%5-/%/+)&*X j*&.g8#B'-,%/#G8#3&5I),-'#!%&'4-O*'(/,&-)'.( P==2+08#B'-,%/#G8#3&5I),-'#@$+<=$"/,&-)'.+"/$/!%&'4-O*'(/SPM,2-I=*2'#C,I%23'T# d')J8#B'-,%/#G8#5&*)/#A8#3&5I),-'#?*'7.->'("/1$/@$+#'A'1+1$#SPM,2-I=*2'(#C,I%23'(T O&W&+8#3&5I),-'#!%&'4-O*'(/,&-)'.( j,/+'8#3&5I),-'#!%&'4-O*'(/,&-)'.(/$/0$.N7'.( 1!"#3*E4#8$!"*+#,8$)$416<862-6$086$1:14,*,#86 # G"#6<# @"#A A"#;8!A#K#!<YA :"#<8<: 6"#&T#<8!%'-k^##=T#<8!#3T#G7#0 ;"#!8@@#%'-k^ 7"#6#%'!G"#<86G:#%'-k^ !@"#d3#r#!7Z#€cp•#r#<8;@7#%'-k^ !A"#<8@A#%'-k^ !;"#68!#K#!<G: !7"#d5#r#<8!A<Z#d3#r#:8;@#K#!<Y@ !9"#&T#!!8G##=#€bGNA•#r#<86A#%'-k^#8#€bNG•#r#G866#%'-k^ G<"#&T#€UN•#r#!8:GG#%'-k^#8#€cG•#r#!8:66#%'-k^8#€UcA•#r#<8A;7#%'-k^#8#€cGN•#r#<8A;7#%'-k^##=T#@89!# K#!<YG GG"#€Q•#r#<8!7G#%'-k^#8#€j•#r#<8<!7#%'-k^ G@"#&T#€bGN•#r#<8<!<#%'-k^#8#€NG•#r#<8<A!#%'-k^##=T#G@8G! GA"#&T#€NG•#r#!8::#K#!<Y6#%'-k^##=T#€NG•#r#<8<!::#%'-k^ !"#$%&'&(&$)$!"*+#,-$."/0-+1/2-3 1!"#3*E4#8$#F/#,8$)$1:14,*,#86 # !"#Q#3'+3/+)*&`['#./#I'+(#ce#+,%&#('-,`['#&M,'(&#./#cUb#3,V'+3/+)*&`['#2+232&-#D#!8<#%'-k^#D#G#K# !<Y:#%'-k^"#C,&-#'#B&-'*#./#d&*&#cUbF # G"#C,&-#'#d&*&#,%#132.'#cQ#M,/#/()1#<8:?#.2(('32&.'#/%#,%&#('-,`['#!8<#%'-k^F @"#$%#132.'#_*&3'#cQ#)/+.'#,%#d&#./#!#K#!<Y9#(/#.2(('32&#/%#10,&#(/0,+.'#&#*/&`['#cQ!↔ ce#e# QY#C,&2(#&(#3'+3/+)*&`o/(#./#)'.&(#&(#/(5D32/(#+,%&#('-,`['#3'+)/+.'#2+232&-%/+)/#<8!#%'-#./#cQ#5'*# -2)*'#./#('-,`['F # A"#U&-3,-/#'+3/+)*&`['#./#ce#5*'.,J2.'*#,%&#('-,`['#./#cGHX#&T#+*2%/2*'+2J&`['Z#=T#+&# (/0,+.'+2J&`['#(/#€cGH•2+232&-#r#<8!#%'-k^"#Sd&!#r#!8!#K#!<Y;8#d&G#r#!8<#K#!<Y!AT # :"#U&-3,-/#'#5c#.&(#(/0,2+)/(#('-,`o/(#./#132.'(#_'*)/(X#&T#cU-#<8!#%'-k^##=T#cGHNA#<8<!#%'-k^" # 6"#U&-3,-/#'#d&# 5&*&#'(#(/0,2+)/(#132.'(#(/+.'#.&.'(#'(#B&-'*/(#./#5c#.&#('-,`['#*/(,-)&+)/X# #&T# cUNNc#<8A7#%'-k^#5c#r#G8<##=T#U6c:UNNc#<8@<#%'-k^#5c#r#G8@: # ;"#H['#.&.'(#'(#5d&*&#'(#132.'(#&=&2K'"#U&-3,-/#'#5c#+&#('-,`['#<8!#%'-k^#./()/(#132.'(X#&T#ca# 5d&#r#@8G:#=T#cUNNc#5d&#r#@8@7 # 7"#U&-3,-/#'#5c#&#G:'#U#.&(#(/0,2+)/(#('-,`o/(#./#/-/)*4-2)'(#_'*)/(X#&T#b&Nc#<8<!#%'-k^##=T#9#K#!< Y@# 0k-2)*'#./#O0SNcTG#3T#G#0k-2)*'#./#cbN@ # 9"#U&-3,-/#'#5c#.&(#('-,`o/(#3,V&(#3'+3/+)*&`o/(#./#c@Ne#(['X#&T#!#K#!<Y:##=T#G#K#!<YA##3T#@8:#K#!<Y!<# .T#;8:#K#!<YG##/T#A#K#!<Y!A"#C,&2(#./()&(#('-,`o/(#(['#132.&(#/#M,&2(#(['#=1(23&(#&#G:'#UF # !<"#C,&-#'+3/+)*&`['#./#I'+(#W2.*4K2.'#/%#,%&#('-,`['#M,/#&#G:'#U#)/%#5c#./X#&T#@8!9#=T#987;#3T# !8<<#.T#!!8A!" # !!"#C,&+)'#cU-#68<#%'-k^#./B/#(/*#&.232'+&.'#\#M,&+)2.&./#+/3/((1*2&#./#10,&*&#(/#'=)/*#,%#-2)*'# ./#,%&#('-,`['#3,V'#5c#(/V&#!8:F # !G"#P%#3/*)&#('-,`['#'+3/+)*&`['#./#/M,2-I=*2'#./#Uc@UNNc#D#<8@#%'-k^#/#&#./#Uc@UNNY#D#<8:# %'-k^"#C,&-#'#5c#.&#('-,`['F#Sd&#r#!8;9:#K#!<Y:T # !@"#U&-3,-/#'+3/+)*&`['#./#I'+(#&3/)&)'#/%#,%&#('-,`['#./#5c#A8A#+&#M,&-#'+3/+)*&`['#.'#132.'# D#<8!#%'-k^"#Sd&#r#!8;9:#K#!<Y:T # !A" # C,&-# &# 5/*3/+)&0/% # ./ # .2(('32&`[' # # .' #132.' # &3D)23'# /%# ('-,`o/(# ./ #3'+3/+)*&`[' # 2+232&-X #&T# <8@:%'-k^#=T#<8<@:#%'-k^##3T#<8<<@:#%'-k^"#Sd&#r#!8;9:#K#!<Y:T # !:" # H,5'+W& # M,/ # <8G@ # %'- # ./ # ,% # 132.' # %'+'5*4)23' # ./(3'+W/32.' # (/V&% # .2(('-B2.'( # /% # 10,&# (,_232/+)/# 5&*&# 5*/5&*&* #G8:: #-2)*'(#./ #('-,`['"#H/#' #5c#.& # ('-,`['# D#@86G8# M,&-# D#'+()&+)/# ./# .2(('32&`['#.'#132.'F # !6"#U&-3,-/#&#€ce•8#€cGnNAY•8#cnNAGY•8#€nNA@Y•8#/%#,%&#('-,`['#3,V'+3/+)*&`['#2+232&-#./#c@nNA# D#!8<#%'-k^"#Sd&!#r;8:#K#!<Y@8#d&G#r#68G#K#!<Y78#8d&@#r#G8G#K#!<Y!GT # !;"#H,5'+W&#M,/#G!:#%^#./#('-,`['#3'+)/+W&%#<8!#%'-#./#Uc@UNNc"#&T#C,&-#'#5c#.&#('-,`['F#=T# C,&-#'#5c#./5'2(#.&#&.2`['#./#<8!G#%'-#./#Uc@UNNb&#S(,5'+W&#M,/#+['#W',B/#B&*2&`['#./#B'-,%/TF# 3T#C,&-#D#'#5c#(/#_'*/%#&.232'+&.'(#\#('-,`['#S=T#<8<!#%'-#./#b&NcF#S(,5'+W&#M,/#+['#W',B/# B&*2&`['#./#B'-,%/T"#Sd&#r#!8;9:#K#!<Y:T # !7"#n*/5&*&Y(/#,%&#('-,`['#.2(('-B/+.'Y(/#bc@#/%#10,&"#N#5c#.&#('-,`['#&#G:'#U#D#!!8G;"#C,&+)'(# %'-(#./#bc@#_'*&%#.2(('-B2.'(#5'*#-2)*'F#Sd=#r#!87#K#!<Y:T # !9"#C,&+)'(#%'-(#./#3-'*/)'#./#&%E+2'#./B/*2&%#(/*#&.232'+&.'(#&#G:#%^#./#bc@# <8!#%'-k^#5&*&# =&2K&*#(/,#5c#&)D#78:F#Sd=#r#!87#K#!<Y:T # G<"#n/-&(#/M,&`o/(#M,I%23&(#%'()*/#'#/_/2)'#.'#I'+#3'%,%#+,%&#('-,`['#M,/#D#<8!#%'-k^#/%#cU-#/# <8G#%'-k^#/%#Uc@UNNc"#U&-3,-/#'+3/+)*&`['#./#I'+(#&3/)&)'#+'#/M,2-I=*2'#./()&#%2(),*&"#Sd&# r# !8;9:#K#!<Y:T # G!"#U&-3,-/#'#5c#./#,%&#('-,`['#)&%5['8#5*/5&*&.&#%2(),*&+.'Y(/#20,&2(#B'-,%/(#./#bc@#<8G#%'-k^#/# bcAU-#<8G#%'-k^"#S5d=#r#A8;AT # GG"#&T#C,&+.'#(/#&.232'+&%#<8<:#%'-#./#cU-#&#,%#-2)*'#./#10,&8#M,&-#'#5cF##=T#U'%5&*/#/()/#5c#&'# M,/#(/#'=)D%#M,&+.'#(/#&.232'+&%#<8<:#%'-#./#cU-#&#-2)*'#.&#('-,`['#)&%5['#32)&.&#+'#/K/*3I32'#G!" # G@"#C,&-#D#'#5c#./#3&.&#,%#.'(#(/0,2+)/(#)&%5o/(X#&T#Uc@UNNc#<8A#%'-k^#/#Uc@UNNb&#<8A#%'-k^# =T#bc@#<8;#%'-k^#/#bcAbN@#<8;#%'-k^F # GA"#C,&+)'(#%'-(#./#ce#5'./%#(/*#&.232'+&.'(#&#!<<%^#./#,%#)&%5['#M,/#D#<8:#%'-k^#/%#&%='(8# Uc@UNNb&#/#Uc@UNNc8#&+)/(#M,/#'#5c#.&#('-,`['#%,./#./#,%&#,+2.&./F # G:"#U-&((2_2M,/#3&.&#,%&#.&(#('-,`o/(#!#%'-k^8#3'+_'*%/#(/,#3&*1)/*#132.'8#=1(23'#',#+/,)*'"#P(3*/B&# ,%&#',#%&2(#/M,&`o/(#V,()2_23&+.'#(,&#*/(5'()&X#&T#bcAU-##=T#dUb##3T#bcAUb##.T#dU-" i&.'(X#d&#SbcAeT#r#:86#K#!<Y!<8#d=#SUbYT#r#G8<#K#!<Y:" # G6"#N#5c#./#,%&#('-,`['#!8<#%'-k^#./#+2)*2)'#./#(4.2'8#b&bNG8#D#786:#&#G:'#U"#U&-3,-/#'#d&#.'#132.'# +2)*'('8#cbNG" # G;"#Q#('-,=2-2.&./#.'#2'.&)'#./#3W,%='8#n=SpN@TG8#D#A8<#K#!<Y:#%'-k^#&#G:'#U"#C,&-#'#d5(#./()/#(&-F # G7"#c&B/*1#_'*%&`['#./#5*/3252)&.'#./#n=HNA8#M,&+.'#!<<#%^#./#('-,`['#<8<<@#%'-k^#./#n=SbN@TG# (['#%2(),*&.'(#3'%#A<<#%^#./#('-,`['#<8<A#%'-k^#./#b&GHNAF#Sd5(n=HNA#r#;#K#!<Y7T # G9"#d5(#5&*&#'#_-,'*/)'#./#/()*E+32'#&#G:'#U#D#G8:#K#!<Y9"#U&-3,-/#&#('-,=2-2.&./#./#H*aG#/%#10,&#&# /()&#)/%5/*&),*&" # @<"#U&-3,-/#&#('-,=2-2.&./#.'#W2.*4K2.'#./#%&0+D(2'8#O0SNcT G8#&#G:'#U#/%X#&T#10,,*&#=T#('-,`['# )/+.'#5c#20,&-#&#!G8<<"#Sd5(#O0SNcTG#r#789#K#!<Y!G#+/()&#)/%5/*&),*&T # @!"#S<($==>&T#U&-3,-/#&#('-,=2-2.&./#.'#U&aG#/% &T#10,,*&###=T#('-,`['##<"!#%'-k^#./#U&SbN@TG######3T#('-,`['##<"!#%'-k^#./#b&a#Sd5(#r#!8;#K#!<Y!<T # @G"#S<($==>&T#U'+(2./*/#,%&#('-,`['#3'+)/+.'#<"!#%'-k^#./#I'+(#3-'*/)'#/#<"<!#%'-k^#./#I'+(#3*'%&)'"# Q#/((&#('-,`['8#&.232'+&Y(/##Q0bN@"# &T#M,&-#.'(#(&2(8#3-'*/)'#',#3*'%&)'#./#5*&)&#B&2#5*/3252)&*#5*2%/2*'F =T # M,&+.' # ' # (/0,+.' # (&- # 3'%/`&* # & # 5*/3252)&*8 # M,&- # B&2 # (/* # & # 3'+3/+)*&`[' # .' # ',)*' # >+2'+# &2+.&# */%&+/(3/+)/#+&#('-,`['F#Q.%2)&#M,/#+['#W1#B&*2&`['#+'#B'-,%/#.&#('-,`['" i&.'(#'(#d5(X#Q0U-#r#G87#K#!<Y!<8#Q0GU*NA#r#!89#K#!<Y!G" # @@"#S<($==>&T#c&B/*1#_'*%&`['#./#5*/3252)&.'#S_-,'*/)'#./#=1*2'T#M,&+.'#B'-,%/(#20,&2(#./#('-,`o/(#./# _-,'*/)'#./#(4.2'#/#+2)*&)'#./#=1*2'##<"<A#%'-k^#_'*/%#%2(),*&.'(F#d5(#Sj&aGT#r#!8<#K#!<Y6" # @A"#S<($==>&T#U&-3,-/#'#5c#./#,%&#('-,`['#3,V'+3/+)*&`['#2+232&-#/%#c@nNA# D#<8<!#%'-k^#S&# ('-,`['#D#(,_232/+)/%/+)/#.2-,I.&*'./*Y(/#3'+(2./*&*#.2(('32&`['#3'%5-/)&T" # @:"#S<($==>(T#Q#!<'#U#'#5*'.,)'#2E+23'#.
,&#D#G89G#K#!<Y!:"#Q#10,'%#5c#r#;#+/()&#)/%5/*&),*&# D#132.&8#&-3&-2+&#',#+/,)*&F#l,()2_2M,/" # @6"#S<($==>(T#U-'*/)'#./#(4.2'#D#&.232'+&.'8#(/%#3&,(&*#B&*2&`['#./#B'-,%/8#&#,%&#('-,`['#3'+)/+.'# Q0e#+'+3/+)*&`['#./#!8<#K#!<YA#%'-k^ &T##5&*&#M,/#3'+3/+)*&`['#./#U-Y#(/*1#2+232&.&##&#_'*%&`['#./#5*/3252)&.'F =T#b&U-#(,_232/+)/#D#&.232'+&.'#&)D##M,/#'+3/+)*&`['#./#I'+(#U-Y#(/V,&-#&#G8<#K#!<YG#%'-k^"#C,&-# D # & # 3'+3/+)*&`[' # ./ # Q0eF # C,&- # & # 5/*3/+)&0/% # ./ # Q0e# 2+232&-%/+)/ # 5*/(/+)/ # M,/ # 5/*%&+/3/ # +&# ('-,`['F i&.'X#d5(SQ0U-T#r#G87#K#!<Y!<" # @;"#S<($==>(T#c&B/*1#_'*%&`['#./# 5*/3252)&.' #S3-'*/)' #./ #5*&)&8#Q0U-T#M,&+.' #B'-,%/(#20,&2(#./# ('-,`o/(#./#3-'*/)'#./#(4.2'#Sb&U-T#/#+2)*&)'#./#5*&)&#SQ0bN@T#<8<A#%'-k^#_'*/%#%2(),*&.'(F##H/#(2%# M,&+)'(#0*&%&(#./#Q0U-#2*['#5*/3252)&*F#H/#+['8#M,&+)'(#0*&%&(#./#Q0U-#&2+.'./%#(/*#&.232'+&.'(# \#('-,`['#(/%#M,/#W&V&#_'*%&`['#./#5*/3252)&.'F i&.'X#d5(SQ0U-T#r#G87#K#!<Y!<" # @7" # S<( $ ==>(T # n&*& # & # 0*&+./ # %&2'*2& # .'( # (&2( # d5( # &,%/+)& # 3'% # ' # &,%/+)' # .& # )/%5/*&),*&" # p(('# /M,2B&-/#&#.2J/*#M,/#&#('-,=2-2J&`['#./#,%#(&-#D#,%#_/+E%/+'#/+.'#',#/K')D*%23'F#l,()2_2M,/" # ^/2),*'%5-/%/+)&*X j*&.g8#B'-,%/#G8#3&5I),-'#2.'1("/$/C+"$"#/#!%&'4-O*'(/2.'1(PC+"$/$)/G(4&<H(#8'75#'.+/,&-)'.+ P==2+08#B'-,%/#G8#3&5I),-' #@$+<=$"/,&-)'.+"/$/!%&'4-O*'( /Ss32.'(#/#j&(/(8#PM,2-I=*2'(#s32.'Y=&(/8# PM,2-I=*2'(#./#H'-,=2-2.&./#/#ƒ'+(#U'%5-/K'(T d')J8#B'-,%/#G8#5&*)/#A8#3&5I),-' #?*'7.->'("/1$/@$+#'A'1+1$# SC,I%23&#.'(#s32.'(#/#j&(/(8#R/&`o/(# /+)*/#s32.'(#/#j&(/(8#R/&`o/(#./#n*/3252)&`['T O&W&+8#3&5I),-'#!%&'4-O*'("/JE7'.("/$)/G(4&<=$"/D%&("+" j,/+'8#3&5I),-'#@$+<=$"/,&-)'.+" # 1!"#3*E4#8$#F/#,8)$416<862-6$086$1:14,*,#86 Y!< !"#A#K#!< G"#G8:!#K#!<Y: @"#€cQ•#„#<8!Z#€ce•#r#€QY•#r#!#K#!<Y:#%'-k^ A"#&T#!8<:#K#!<YA#%'-k^#=T#!#K#!<Y!A#%'-k^ :"#&T#!##=T#!8; 6"#&T#G8!@#K#!<YA###=T#68;:#K#!<Y: ;"#&T#G8!##=T#G8G 7"#&T#!G##=T#!<8:##3T#!8: 9"#&T#5c#r#:8<<Z#132.&##=T#5c#r#@8;<Z###132.&##3T#5c#r#98A6Z#=1(23&##.T#5c#r#!8!GZ#132.&##/T#5c#r#!@8A<Z# =1(23& !<"#&T#!8::#K#!<Y!!#%'-k^##=T#;8A!#K#!<Y:#%'-k^##3T#!8<<#K#!<Y!@#%'-k^##.T#G8:;#K#!<Y@#%'-k^ !!"#:8G;#%^ !G"#A89; !@"#A8:!#K#!<YG#%'-k^ !A"#&T#<8;G?##=T#G8G6?##3T#689!? !:"#68A#K#!<Y; !6"#/%#%'-k^X#€ce•#r#78G9#K#!<YGZ#€cGnNAY•#r#78G9#K#!<YGZ#€cnNAGY•#r#68G#K#!<Y7Z#€nNA@Y•#r#!86A#K# !<Y!7 !;"#&T#G8:A##=T#A87G##3T#A89! !7"#<8!9@#%'-#bc@k^ !9"#!8A#K#!<YG#%'- G<"#@8:9#K#!<Y:#%'-k^ G!"#98G6 GG"#&T#!8@##=T#78;7 G@"#&T#A8;:##=T#98G6 GA"#A8<9#K#!<YG#%'G6"#:8<!#K#!<YA G;"#G8:6#K#!<Y!@ G7"#np#r#!89G#K#!<Y:#•#d5(#r#;#K#!<Y78#5'*)&+)'#W&B/*1#5*/3252)&`[' G9"#78::#K#!<YA#%'-k^ @<"#&T#!8@#K#!<YA#%'-k^##=T#789#K#!<Y7#%'-k^ @!"#&T#@8A9#K#!<YA#%'-k^##=T#=T#G8<6#K#!<Y:#%'-k^##3T#!8;#K#!<Y7#%'-k^ @G"#&T#3-'*/)'##=T#G#K#!<Y:#%'-k^ @A"#!8: @:"#132.& @6"#&T#G87#K#!<Y6#%'-k^##=T#!8A#K#!<Y7#%'-k^Z#<8<!A? @;"#5*/3252)&%#G8760k^ !"#$%&'&(&$)$!"*+#,-$."/0-+1/2-3 E-3-/,1-+1/28$$01$$1!"-@A16$$4108:$)$1:14,*,#86 $ j&-&+3/&*#&(#/M,&`o/(#*/.'K#&=&2K'"#i2J/*#M,/%#(/#'K2.&8#M,/%#(/#*/.,J8#M,/%#D#'#&0/+)/#'K2.&+)/#/# M,/%#D#'#&0/+)/#*/.,)'*" # !"#U*NAGY##e##a/SNcTG##→##U*NGY##e##a/SNcT@#################################S=1(23'T G"#U*GN;GY##e##a/Ge##→##U*@e##e##a/@e##############################################S132.'T @"#H/N@GY##e##U-G##→#H/NAGY##e##U-Y####################################S=1(23'T A"#U-NY##e##pY##→##U-Y##e##pG###############################################################S=1(23'T :"#O+NAY##e##cGUGNA#→##O+Ge##e##UNG###########################################S132.'T 6"#O+NG##e##j*Y##→##O+Ge##e##j*G####################################################S132.'T ;"#pY##e##HNAGY##→##cGH##e##pG############################################################S132.'T 7"#H+SNcTAGY##e##U*NAGY##→##H+SNcT6GY##e##U*NGY############################S=1(23'T 9"#…+##e##bN@Y##→##…+Ge##e##bcAe###################################################S132.'T !<"#dGU*GN;##e##cp##e##cU-NA##→##dU-NA##e##U*SU-NAT@##e##pG##e##cGN !!"#dbN@##e##H##→##HNG##e##dGN##e##bN !G"#H+##e##cbN@##→##H+SbN@TG##e##bcAbN@##e##cGN !@"#O+NAY##e##pY##→##O+Ge##e##pG#######################################################S132.'T !A"#O+NAY##e##pY##→##O+NG##e##pG######################################################S=1(23'T !:"#cbNG##e##cp##→##bN##e##pG##e##cGN !6"#bNG##e##cGN##→##cbN@##e##bN # ^/2),*'%5-/%/+)&*X # j*&.g8 # B'-,%/ # !8 # 3&5I),-'( #Q'F+<H( / ,&-)'.+B / 8(7.$'#(" / K$*+'" // #@$+<=$" / ,&-)'.+" / $) / G(4&<H(/ D%&("+ P==2+08 # B'-,%/ # !8 # 3&5I),-' #@$+<=$" / ,&-)'.+"B / J7#*(1&<H( /SR/&`o/( # ./ # NK2.&`['YR/.,`[' # /# PM,2-I=*2'#.&(#R/&`o/(#./#NK2.&`['YR/.,`['#T d')J8#B'-,%/#G8#5&*)/#A8#3&5I),-'#?*'7.->'("/1$/@$+#'A'1+1$#SR/&`o/(##./#]*&+(_/*L+32&#./#P-D)*'+(T O&W&+8#3&5I),-'#@$+<=$"/1$/RS'1(P@$1&<H( j,/+'8#3&5I),-'#@$+<=$"/,&-)'.+" E-3-/,1-+1/28$$01$$1!"-@A16$$4108:$$)$$416<862-6$086$1:14,*,#86 # !"#U*NAGY##e##@a/SNcTG##e##GcGN##→##U*NGY##e##@a/SNcT@##e##NcY G"#U*GN;GY##e##6a/Ge##e#!Ace##→##GU*@e##e##6a/@e##e##;cGN @"#H/N@GY##e##U-G##e##GNcY##→##H/NAGY##e##GU-Y##e##cGN A"#U-NY##e##GpY##e##cGN##→##U-Y##e##pG##e##GNcY :"#GO+NAY##e##:cGUGNA####e#6ce#→##GO+Ge##e##!<UNG##e##7cGN 6"#O+NG##e##Gj*Y####e#Ace#→##O+Ge##e##j*G##e##GcGN ;"#7pY##e##HNAGY####e#!<ce#→##cGH##e##ApG##e##AcGN 7"#@H+SNcTAGY##e##GU*NAGY####e##AcGN#→##@H+SNcT6GY##e##GU*NGY##e##GNcY 9"#A…+##e##bN@Y##e#!<ce#→##A…+Ge##e##bcAe##e##@cGN !<"#dGU*GN;##e##6cp##e##7cU-NA##→##GdU-NA##e##GU*SU-NAT@##e##@pG##e##;cGN !!"#AdbN@##e##@H##→##@HNG##e##GdGN##e##AbN !G"#AH+##e##!<cbN@##→##AH+SbN@TG##e##bcAbN@##e##@cGN !@"#GO+NAY##e##!<pY##e#!6ce#→##GO+Ge##e##:pG##e##7cGN !A"#GO+NAY##e##6pY####e##AcGN#→##GO+NG##e##@pG##e##7NcY !:"#GcbNG##e##Gcp##→##GbN##e##pG##e##GcGN !6"#@bNG##e##cGN##→##GcbN@##e##bN # !"#$%&'&(&$$)$$!"*+#,-$."/0-+1/2-3 131248!"*+#,-$$)$$1:14,*,#86 # !"#H/%#3&-3,-&* #!z#./)/*%2+/#(/#&(#(/0,2+)/(#*/&`o/(#'3'**/*['#/(5'+)&+/&%/+)/8#5&*'+3/+)*&`o/(# ,+2)1*2&(" &T#G#a/@e##e##H+##→##G#a/Ge##e##H+Ge# =T#U,##e##G#ce##→##U,Ge##e##cG 3T#@#O0Ge##e##G#Q-##→##@#O0##e##G#Q-@e .T#U&Ge##e##O0##→##U&#e##O0Ge /T#6#O+Ge##e##:#U*GN;GY##e##GG#ce##→##6#O+NAY##e##!<#U*@e##e##!!#cGN _T#NG##e##A#U-Y##e##A#ce##→##G#cGN##e##G#U-G # G"#i/(/+W/#,%4-W�&-B>+23&#/%#M,/#'3'**&#&#(/0,2+)/#*/&`['#0-'=&-X b2Ge#S&MT##e##a/#S(T##→##b2#S(T##e##a/Ge#S&MT &T#_&`&#'#.2&0*&%&#.D-,-& =T#2+.2M,/#'#31)'.'#/#'#>+'.' 3T#2+.2M,/#&#.2*/`['#.'#_-,K'#./#/-D)*'+( .T#2+.2M,/#&#.2*/`['#.'#_-,K'#./#31)2'+(#/#>+2'+( /T#(/#&(#3'+3/+)*&`o/(#.'(#I'+(#(['8#3&.&#,%&#!#%'-k^8#M,&-#'#5')/+32&-#.4-W&F # @"#C,&-#'#%/-W'*#&0/+)/#*/.,)'*F##&T#b2#',#Q-F##=T#j*Y#',#pYF##3T#H+#',#O+F##.T#b&#',#U*F##/T#Q0#',# U,F # A"#C,&-#'#%/-W'*#&0/+)/#'K2.&+)/F##&T#^2e#',#U&GeF##=T#cGN#',#Q-@eF##3T#j*G#',#cGNF#.T#U-G# ',# U-N@YF##/T#O+NAY#',#U*GN;GYF##_T#n=NG#',#c0GU-GF # :"#C,&+)'(#%'-(#./#/-D)*'+(#(/*2&%#/K202.'(#5&*&#*/.,J2*#!#%'-#./#3&.&#,%#.'(#(/0,2+)/(#5*'.,)'(# 2+.23&.'(F &T#U,Ge#5&*&#U,##=T#a/@e#5&*&#a/Ge##3T#O+NAY#5&*&#O+Ge##.T#aG#5&*&#G#aY##/T#bN@Y#5&*&#bc@ # 6"#C,&+)'(#%'-(#./#/-D)*'+(#(/*2&%#5/*.2.'(#5&*&#'K2.&*#!#%'-#./#3&.&#,%#.'(#(/0,2+)/(#5*'.,)'(# 2+.23&.'(F &T#U,e#5&*&#U,Ge##=T#n=#5&*&#n=NG##3T#U-G#5&*&#G#U-N@Y##.T#cGNG#S5/*4K2.'#./#W2.*'0L+2'T#5&*&#NG# /T#bc@#5&*&#bNGY # ;"#C,&+)'(#%'-(#./#/-D)*'+(#3'**/(5'+./%#&X##&T#79:<#UF##=T#,%'**/+)/#./#!8:#Q#.,*&+)/#@<#(F##3T# ,%'**/+)/#./#!A8;#Q#.,*&+)/#!<#%2+F # 7"#P()&=/-/`&#M,&+)'(#%2+,)'(#(/*2&%#+/3/((1*2'(#5&*&X##&T#_'*+/3/*#7AG<<#U#,(&+.'#3'**/+)/#./#68@<#Q =T#_'*+/3/*#!8G:#a#,(&+.'#,%'**/+)/#./#78A<#Q##3T#5*'.,J2*#<8:<#%'-#./#Q-#&*)2*#./#Q-U- @#_,+.2.'# ,(&+.'#,%'**/+)/#./#!78@#Q" 9"#C,&+)'(#_&*&.&g(#SFT#./#/-/)*232.&./#(['#+/3/((1*2'(#5&**'.,J2*#'#(/0,2+)/X##&T#!<#%^#./#NG#S+&(# Ub]nT#&*)2*#./#b&GHNA#&M,'('F#=T#!<#0#./#Q-#&*)2*#./#Q-U-@#_,+.2.'F##3T#:#0#./#b&#&*)2*#./# b&U-#_,+.2.'F##.T#:#0#./#O0#&*)2*#./#O0U-G#_,+.2.'F # !<"#C,&+)'#)/%5'#(/*2&#+/3/((1*2'#5&*&#./5'(2)&*#@:8@#0#./#U*#&*)2*#./#,%&#('-,`['#./#U*U-@8# ,(&+.'#,%'**/+)/#./#68<<#QF # !!"#C,/#3'**/+)/#D#+/3/((1*2&*&#./5'(2)&*#<8GG:#0#./#b2#&*)2*#./#,%&#('-,`['#./#b2HN A8#/%#!<# %2+F # !G"#C,&+)'(#0*&%&(#./#NG#/#cG#(['#5*'.,J2.'(#/%#!8<#W8#M,&+.'#(/#/-/)*'-2(&#
,'%#,%'**/+)/# ./#<8:<#QF#C,&2(#(['#'(#B'-,%/(#./#NG#/#cG#%/.2.'(#+&(#Ub]nF # !@"#C,/#%&((&#./#5*&)&#D#./5'(2)&.&#('=*/#,%&#=&+./V/-&#/-/)*4-2(/#./#,%&#('-,`['#3'+)/+.'#I'+(# Q0e8#5'*#,%#5/*I'.'#./#7#W8#,(&+.'#,%'**/+)/#./#78A6#QF#C,/#1*/&#D#*/3'=/*)&8#(&=/+.'#M,/#&# ./+(2.&./#.*&)&#D#./#!<8:#0k3%@#/#&#/(5/((,*&#.'#*/B/()2%/+)'#D#./#<8<G:A#3%F # !A"#$%#/(),.&+)/#%'+)',#,%#3'+V,+)'#5&*&#/-/)*4-2(/#/#5&((',#,%'**/+)/#./#!8GG#Q#&)*&BD(#./#,%&# ('-,`['#@#%'-k^#./#cGHNA8#.,*&+)/#@<#%2+"#P-/#*/3'-W/,#'#cG# -2=/*&.'#/#/+3'+)*',#M,/#'#B'-,%/# '3,5&.'#('=*/#
,&8#&#G;v#U8#_'2#./#G77#%^8#&#,%*/((['#)')&-#./#;6;#)'**"#$(/#/()/(#.&.'(#5&*&# 3&-3,-&*#&*0&#./#,%#/-D)*'+8#/K5*/((&#/%#3',-'%=("#Q.%2)&#M,/#'#B&-'*#.'#a&*&.&g#D#./(3'+W/32.'"# Q#5*/((['#./#B&5'*#.
,&#&#G;vU#D#./#G686#%%c0" # !:"#C,/#3'**/+)/#(/*2&#+/3/((1*2&*&#./5'(2)&*#,%&%&.&#./#!#%G#./#3*'%'#3'%#,%&#/(5/((,*&#./# <8:<#%%#/%#G:#%2+8#&*)2*#./#,%&#('-,`['#3'+)/+.'#U*GSHNAT@F#Q#./+(2.&./##.'#U*#D#;8!9#0k%^" # !6"#U&-3,-/#'#B'-,%/#./#0&(#W2.*'0L+2'#ScGT8#&#G:vU#/#!#&)%#./#5*/((['8#M,/#(/*1#3'-/)&.'#+'#31)'.'# M,&+.'#,%&#('-,`['#./#(,-_&)'#./#(4.2'#Sb&GHNAT#D#/-/)*'-2(&.'*#G8<<#W#3'%#,%'**/+)/#./#!<8<# Q" # !;"#i/)/*%2+/#'#+f%/*'#./#'K2.&`['#.'#I'+#./#3*'%'#/%#,%#(&-#./(3'+W/32.'#(/8#&#/-/)*4-2(/#./#,%&# &%'()*&#./()/#(&-#5'*#!8:<#W#3'%#,%'**/+)/#./#!<8<#Q#./5'(2)b!#0#.'#%/)&-#3*'%'#+'#31)'.'" # !7"#N,*'#_'*%'%5'()'(#+'(#/()&.'(#./#'K2.&`['#e!#/#e@"#C,&-#D#'#+f%/*'#./#'K2.&`['#.'#',*'#+,%# 3'%5'()'#M,/#./5'(2)&#!8:@#0#./#',*'#%/)1-23'#M,&+.'#/-/)*'-2(&.'#5'*#!:#%2+#3'%#,%'**/+)/#./# G8:<#QF # !9"#N#%&0+D(2'#5'./#(/*#/-/)*'-2(&.'#./#O0U-G#_,+.2.'"##&T#P(3*/B&#&(#(/%2Y*/&`o/(#M,/#'3'**/%#+'# 31)'.'#/#+'#>+'.'"# #=T#P(M,/%&)2J/#,%D-,-&#/%#M,/#/()&#*/&`['#5'./*2&#)/*#-,0&*8#2+.23&+.'#'# 31)'.'#/#'#>+'.'"##3T#n*/B/V&#'#(2+&-#./#∆x#5&*&#&#*/&`['" # G<"#U&-3,-/#&(#3'+()&+)/(#./#/M,2-I=*2'#5&*&#&(#(/0,2+)/(#*/&`o/(#.&(#52-W&(X &T#b2#S(T##e##H+Ge#S&MT↔##b2Ge#S&MT##e##H+#S(T =T#U-G#S0T##e##G#j*Y#S&MT#↔##j*G#S&MT##e##G#U-Y#S&MT 3T#a/Ge#S&MT##e##Q0e#S&MT#↔##Q0#S(T##e##a/@e#S&MT # G!"#P(3*/B&#&(#/M,&`o/(#./#b/*()#/#3&-3,-/#/#/#/z#5&*&#&(#(/0,2+)/(#*/&`o/(X &T#U,Ge#S<8!#%'-k^T##e##…+#S(T#→#U,#S(T##e##…+Ge#S!8<#%'-k^T =T#b2#S(T##e##H+Ge#S<8:#%'-k^T#→#b2Ge#S<8<!#%'-k^T##e##H+#S(T 3T#aG#S0T#S!#&)%T##e##G#^2#S(T#→#G#^2e#S!#%'-k^T##e#G#aY#S<8:#%'-k^T# .T#…+#S(T##e##G#ce#S<8!#%'-k^T##→#…+Ge#S!#%'-k^T##e##cG#S!#&)%T /T#G#ce#S!8<#%'-k^T##e##a/#S(T#→#cG#S!#&)%T##e##a/Ge#S<8G#%'-k^T # GG##U&-3,-/##!z8#! /#∆x#5&*&#&(#(/0,2+)/(#*/&`o/(#./#52-W&(#S+['#=&-&+3/&.&(TX #&T#Q-#S(T##e##b2Ge#S<87<#%'-k^T##→#Q-@e#S<8<G<#%'-k^T##e##b2#S(T #=T#b2#S(T##e##H+Ge#S!8!<#%'-k^T##→#b2Ge#S<8<!<#%'-k^T##e##H+#S(T #3T#U,e#S<8<:<#%'-k^T##e##…+#S(T#→#U,#S(T##e##…+Ge#S<8<!<#%'-k^T # ^/2),*'%5-/%/+)&*X j*&.g8#B'-,%/#!8#3&5I),-'#!4$#*(%&-)'.+ P==2+08#B'-,%/#G8#3&5I),-'#!4$#*(%&-)'.+ d')J8#B'-,%/#G8#5&*)/#A8#3&5I),-'#?*'7.->'("/1$/@$+#'A'1+1$#SR/&`o/(##./#]*&+(_/*L+32&#./#P-D)*'+(T O&W&+8#3&5I),-'#@$+<=$"/1$/RS'1(P@$1&<H( j,/+'8#3&5I),-'#!4$#*(%&-)'.+ # 131248!"*+#,-$$)$$416<862-6$086$1:14,*,#86 G"#/T#<8!9#h ;"#&T#98@#K#!<YG##%'-#./#/Y##=T#A8;#K#!<YA#%'-#./#/Y##3T#98!#K#!<YG##%'-#./#/Y 7"#&T#GGG87#%2+##=T#G@98@#%2+##3T#!@!87#%2+ 9"#&T#!87#K#!<Y@#F ##=T#!8!!#F##3T#<8GG#F##.T#<8AG##F !<"#9#W#/#6#%2+ !!"#!8G@#Q !G"#<8!:<#0#NGZ#<8<!7;#0#cGZ#<8!<:#^#NGZ#<8G<9#^#cG !@"#G;G8!6#0#Q0Z#<8!<G#%G !A"#!86<#K#!<Y!9#U !:"#!8@@#K#!<A#Q !6"#98!!#^ !;"#@ !7"#@ G<"#&T#:#G<@##=T#!8@G#K#!<9##3T#@8G! G!"#&T#!#r#!8<;#hZ#!v#r#!8!<#h##=T#!#r#<8!6#hZ#!v#r#<8!!#h##3T#!#r#:89A#hZ#!v#r#:89G#h##.T#!#r#<8;<#hZ#!v# <8;6#h##/T#!#r#<8A6#hZ#!v#r#<8AA#h GG"#&T#!v#r#!8AG#h8#!#r#!8A:8#∆x#r#Y#7A<#ml##=T#!v#r#<8!!#h8#!#r#<8!;#h8#∆x#r#Y#@G87#ml##3T#!v#r#!8G7#h8 !#r#!8G6#h8#∆x#r#Y#GA@8G#ml !"#$%&'&(&$$)$$!"*+#,-$."/0-+1/2-3 2-E13-$<14#G0#,-9$$<48<4#10-016$<14#G0#,-6$)$1:14,*,#86 # ! # Y # Q( # (/0,2+)/( # 5&*)I3,-&( # ([' # 2('/-/)*E+23&(8 # 2()' # D # 8 # /-&( # )/% # & # %/(%& # 3'+_20,*&`['# /-/)*E+23&"U'-'M,/Y&(#/%#'*./%#./3*/(3/+)/#./#*&2'X####b/8####aY8####b&e8####NGY8####O0Ge" # G#Y#n*'3,*/#+&#=2=-2'0*&_2+.23&.&8#'(#B&-'*/(#5&*&#'#*&2'#&)E%23'#/#&#/+/*02&#./#2'+2J&`['#5&*&#'(# /-/%/+)'(#.'#0*,5'#pQ#S!T" #####S&T#$(&+.'#/()/(#B&-'*/(#%'()*/#3'%'#'#*&2'#&)E%23'#2+_-,/+32&#'(#B&-'*/(#.&#/+/*02&#./#2'+2J&`['" #####S=T#$(&+.'#'(#B&-'*/(#.&#/+/*02&#./#2'+2J&`['##SPpT#5&*&#'#/-/%/+)'#5')1((2'#/K5-2M,/#5'*#M,/#&#G‚# Pp#D#M,&(/#'2)'#B/J/(#%&2'*#.'#M,/#&#!‚#Pp" # @#Y#U'%'#B&*2&#&#/+/*02&#./#2'+2J&`['#&'#-'+0'#.&#)&=/-/*24.23&" # A#Y#$(&+.'#'(#B&-'*/(#./#Pp#5&*&#'(#/-/%/+)'(#.'#Gv#5/*I'.'#SM,/#B'3/#/+3'+)*&#+&#=2=-2'0*&_2&T8# /K5-2M,/#&(#2**/0,-&*2.&./(#B/*2_23&.&(#/+)*/X ###################S&T##j/##/##j ###################S=T##b####/##N # :#Y#PK5-2M,/#3'%'#&#/+/*02&#./#2'+2J&`['#/#&#/-/)*'&_2+2.&./#(['#%/.2.&(#.&#)/+.L+32&#./#,%#/-/%/+)'# 5&*&*)2325&*#+,%&#*/&`['#M,I%23'%#',)*'(#/-/%/+)'(" # # # !"#$%&'&(&$$)$$!"*+#,-$."/0-+1/2-3 /H+148$!"C/2#,89$$0#624#E"#@78$13124F/#,-$$)$$1:14,*,#86 # !##Y#U'%5-/)/#&(#_*&(/(#&#(/0,2*X ######S&T##C,&+.'#+#r#G8#'#B&-'*#./#-#5'./#(/*#uuuuu#/#uuuuuu" ######S=T#C,&+.'#-#r#!8#'#B&-'*#./#%-#5'./#(/*#uuuuu8#uuuuu#/#uuuuu"#P#'#(,=+IB/-#D#./+'%2+&.'#5/-&# -/)*&#uuuuu" ######S3T#C,&+.'#-#r#G8#/-/#D#3W&%&.'#(,=+IB/-#uuuuu" ######S.T#C,&+.'#,%#(,=+IB/-#D#./+'%2+&.'#(8#'#B&-'*#./#-#D#uuuuu#/#%-#)/%#'#B&-'*#uuuuu" ######S/T#C,&+.'#'#(,=+IB/-#D#./+'%2+&.'#58#/K2()/%#uuuuu#'*=2)&2(#" # # # # # # S_T # C,&+.' # ' # (,=+IB/- # D # ./+'%2+&.' #_8 # /K2()/% # uuuuu # B&-'*/( # ./ #%-# / # /K2()/% # uuuuu# (,=+IB/2(" GY#C,&+)'(#/-D)*'+(#5'./%#(/*#&3'%'.&.'(#/%#3&.&#,%#.'(#(/0,2+)/(#(,=+IB/2(X#_8#08#WF##C,&-#D#'#%&2(# =&2K'#B&-'*#./#+#5&*&#,%&%&.&#M,/#)/%#,%#(,=+IB/-#WF##C,&2(#(['#'(#B&-'*/(#./#+#5/*%2)2.'(#5&*&# ,%#(,=+IB/-#WF # @Y#$(/#&#)&=/-/*24.23'%'#0,2&*&#/(3*/B/*#&(#3'+_20,*&`o/(#/-/)E+23&(#.'(#(/0,2+)/(#/-/%/+)'(X# n8##b28##Q(8##j&8####RW8##c'8##H+" # AY#$(/#&#)&=/-/*24.23&*W/0&*#\#/()*,),*&#/-/)*E+23&#.&(#3&%&.&(#%&2(#/K)/*+&(#.'(#1)'%'(X##H28# H/8##H*8##U-8##N8#H8##Q(8##x&" # :Y#P(3*/B&#'+_20,*&`['#/-/)*E+23'%5-/)&*&##R=8##H+8##j*8##U*8##U," # 6Y#N#M,/#D#'#_/+E%/+'#./#5&*&%&0+/)2(%'#/#.2&%&0+/)2(%'" # ;Y # i&.' # ' # 3'+V,+)' # ./ # +f%/*'( # M,>+)23'( # .' # /-D)*'+ # %&2( # /+/*0D)23'8 # +' # /()&.' # _,+.&%/+)&-8# ./)/*%2+/#'#(/,#+f%/*'#&)E%23'8#(/0,+.'#'+B/+`['#/()&=/-/32.&###############S(r#e!kGT ################+#r#@#########-r#G##########%r#Y#!##########(#r#e#!kG ################+#r#:#########-r#!##########%#r##<###########(#r#Y#!kG ################+#r#A#########-r#!##########%#r#Y#!##########(#r#e#!kG iL#'#+'%/#.'#*/(5/3)2B'#/-/%/+)'#5&*&.&#(I%='-'#M,I%23'#M,/#/()1#+&#-2()&#./#/K/*3I32'" # $!"#$%&'&(&$$)$$!"*+#,-$."/0-+1/2-3 1:14,*,#86$01$3#B-@78$!"*+#,# !"#U'+(2./*/#&#*/&`['#W25')D)23&###b&S(T###e###U-G#S0T###→###b&U-G#S(T8#'+./#'#5*'.,)'#3'+)D%#I'+(#b&Ge# /#U-Y"#$(/#.&.'(#./#)&=/-&#/#3'+(2./*/#&#/+/*02&#./#-20&`['#+'#U-G#3'%'#@7#m3&-k%'-8#&#(/0,+.&#/+/*02&# ./#2'+2J&`['#.'#(4.2'8#!<7<#m3&-k%'-#/#&.%2)&#&#/+/*02&#*/)23,-&*#.'#b&U- G# 3'%'#(/+.'#20,&-#&#.'# O0U-G S#Y#:96#mlk%'-T"#P()2%/#'#3&-'*#./#_'*%&`['#.'#b&U-G#/#3'%/+)/#('=*/#(,&#/()&=2-2.&./" # G"#$(&+.'#'#323-'#./#j'*+Yc&=/*#/#/M,&`o/(#=&-&+3/&.&(8#/(3'-W&#'#5*'.,)'#(4-2.'#%&2(#/()1B/-#.&(# (/0,2+)/(#*/&`o/(Z#/(3'-W&#)&%=D%#'#5*'.,)'#%/+'(#/()1B/-#5'((IB/-"#/K5-2M,/#(,&(#/(3'-W&(" ######S&T##dS(T####e#####U-G#S0T#####→ ######S=T##O0S(T#e#####j*G#S-T#####→ ######S3T##U&S(T##e####NG#S0T######→ ######S.T##Q-S(T###e####U-G#S0T######→ ######S/T##Q-S(T###e####NG#S0T######→ # @"#Q#5&*)2*#.'(#(/0,2+)/(#.&.'(8#3&-3,-/#&#&_2+2.&./#/-/)*E+23&#.'#j*"#Q#/+/*02&#-2=/*&./-&#*/&`['# b&S(T###e#####!kG#j*G#S-T#####→#####b&j*#S(T#D#./#768<#m3&-"#Q#/+/*02&#+/3/((1*2&*&#B&5'*2J&*#!#%'-#./# j*G#S-T##D#./#;8@#m3&-"#N#5')/+32&-#./#2'+2J&`['#.'#b&S0T#D#!!78:#m3&-k%'-"#Q#/+/*02&#./#-20&`['#.'#j*G# D#A68<#m3&-k%'-#./#-20&`['#j*Yj*"#Q#/+/*02&#.&#*/./#3*2()&-2+&#.'#b&j*#D#./#!;:8:#m3&-k%'-" # A" # PK5-2M,/ # &( # (2%2-&*2.&./( # M,I%23&( # /+)*/ # 31-32' # / # /()*E+32' # S9<H* # D # /+3'+)*&.' # /% # †_&--',)‡# *&.2'&)2B'#/#)'%&#'#-,0&*#.'#U&#/%#'(('(#/#./+)/(T" # :"#iL#&(#_4*%,-&(#.'(#(/0,2+)/(#3'%5'()'(#2E+23'(X #####S&T##(,-_/)'#./#&-,%I+2'" #####S=T##(,-_&)'#./#&%E+2' #####S3T##+2)*&)'#./#J2+3' # 6"#N#I'+#_'(_&)'#D#nNA@Y"#P%5*/0&+.'#&#)&=/-/*24.23&8#_&`&#*/B2(['#.&(#_4*%,-&(#/%5I*23&(#.'(# (/0,2+)/(#_'(_&)'(#2E+23'(X#./#5')1((2'8#./#&-,%I+2'8#./#3D(2'8#./#%&0+D(2'#/#./#*1.2'" # ;" # S&T # # O2(),*&+.' # (4.2' # / # 3-'*' # /-/%/+)&*/( # 3&,(& # & # _'*%&`[' # ./ # 3-'*/)' # ./ # (4.2'8 # /+M,&+)'# %2(),*&+.'#(4.2'#/#5')1((2'#+['#)/%'(#,%&#*/&`['#M,I%23&"#n'*#M,/F #####S=T##U-'*'#/#=*'%'#5'./%#*/&02*#/+)*/#(28#%&(#&#/(5D32/#*/(,-)&+)/#+['#D#2E+23&"#n'*#M,/F # 7"#N#3'%5'()'#b&GHGN@#D#,(&.'#3'%'#&0/+)/#_2K&.'*#/%#_')'0*&_2&" #####S&T##C,&2(#(['#&(#3&*0&(#.'(#I'+(#5*/(/+)/(F #####S=T##P(3*/B&#&#/()*,),*&#./#^/|2(#5&*&#'#>+2'+#5'-2&)E%23'" #####S3T##i/(3*/B&#�/'%/)*2&#.'#>+2'+#5'-2&)E%23'" # 9"#i/#'+_20,*&`['#/-/)*E+23&#.'#/()&.'#_,+.&%/+)&-#.&(#(/0,2+)/(#/(5D32/(X##de8#]-@e8#H/GY8#b@Y8# O+Ge##/#U'@e" # !<" # C,&2( # .&( # (/0,2+)/( # (,=()>+32&( # )L% # -20&`o/( # M,/ # ([' # 5*/.'%2+&+)/%/+)/ # 3'B&-/+)/(X # # bc@8# O+aG8jU-@8#O0U-G8#j/pG8#b&cF # !!"#P(3*/B&#'+_20,*&`['#/-/)*E+23&#.'#/()&.'#_,+.&%/+)&-#.'#='*'"#n'*#M,/#'#='*'#_'*%&#@#-20&`o/(# /%#B/J#./#('%/+)/#,%&" # !G"#n'*#M,/#'(#/-/%/+)'(#.'#(/0,+.'#5/*I'.'#+,+3&#/K3/./%#'#'3)/)'#+&(#(,&(#3&%&.&(#./#B&-L+32&F # !@"#C,/#D#,%&#-20&`['#3'B&-/+)/#3''*./+&.&F##P%#M,/#/-&#.2_/*/#.&(#',)*&(#-20&`o/(#3'B&-/+)/(F # !A"#O'()*/#M,/#3&.&#,%&#.&(#(/0,2+)/(#/(5D32/(#3'+)D%#,%&#-20&`['#3'B&-/+)/#3''*./+&)2B&X#bcAe8# HGGY8#c@Ne8#c@nNA" # !:"#U*2)2M,/#3&.&#,%&#.&(#&_2*%&`o/(X #######S&T##O/)&2(#+'(#0*,5'(##!Q#S!T8##GQ#SGT##/##@Q#S!@T##&)2+0/%#3'+_20,*&`['#./#01(#+'=*/#5/-/*.&# ./#!8#G#/#@#/-D)*'+(8#*/(5/3)2B&%/+)/" # # # # # # #S=T#N#+f%/*'#./#-20&`o/(#3'B&-/+)/(#_'*%&.'*#,%#1)'%'#D#20,&-#&'#+f%/*'#./#/-D)*'+(# ./(/%5&*/-W&.'(#+'#1)'%'#0&('('#2('-&.'" #######S3T##Q#/+/*02&#./#-20&`['#./#,%&#-20&`['#.,5-&#D#.,&(#B/J/(#&#/+/*02&#.&#-20&`['#(2%5-/(#/+)*/#'(# %/(%'(#1)'%'(" #######S.T##Q#%'-D3,-&#-2+/&*###{#Y##ˆ#Y##…###D#&5'-&*" # !6"#a&`&#,%*/B2(['#./#M,&-#%'-D3,-&#D#5'-&*X##pG8#pU-8#UU-A8#UcGU-G8#nU-@8#nNU-@8#ja@#/#ba@" # !;"#U'+(2./*/#&#%'-D3,-&#NG8#,)2-2J&+.'#&#)/'*2&#.'#'*=2)&-#%'-/3,-&*#*/(5'+.&X# #(/#'(#/-D)*'+(#([' # # # # #(,3/((2B&%/+)/#*/%'B2.'(#5&*&#.&*#*2%/2*&8#(/0,+.&8#)/*3/2*&8"""8#/+/*02&(#./#2'+2J&`['8#'+./# B'3L#/(5/*&*2&#/+3'+)*&*#'#%&2'*#(&-)'#+&#/+/*02&#./#2'+2J&`['" #