Линейное программирование - первое знакомство


     
  
         !#"%$"'&)(+*-,/.-0-132-.-4 5768*:9<;<=<*?>A@-B CED FHGIKJML/NPOPG QSRg^higk T:U-VXj/W:lbU-mbY8npV)obmbZ:q3[-ncY]r]\^sb[`q^_btpas]u^acvwT`v-[`lbYes]d8q^_bx3U:u^mbT-lbV n/ycz{q^|]}bl)~sbnpmbl€)‚}ƒq^mbqXv-l]y„z…uMhh/h f† g^h‡†ˆj/g^h‡lb†mbhig npobmbŒq3ncmbl]r]Žsbq^lbtp}s]u{u^]vwlv-€lb}bs]s]q^lbx3z{u^nmbs]lbln/€Mychz{q^h/|]h}bl)h/~hsbh/npmbhclh/€h/vwhu{z{h/n‰hvwu{h/z{hlb}h/uŠh/hhh/h/hh ‹‘ g^g^h‡h‡††h‡h “† Œ”•x3mbn—l]–eŽnplbmb}lbu{n]})l€mbnq3q3tz{s]sbu^lbmb]lbu^|bz{npn„mb˜elb™^o’mbš›hvœh/rbhns]h/nphcv-nh/m]h/mbš›hv h/hh/h/hhh/h/h/h/hhh/h/hh ‘ hh¤g‰ ¥ g^h “ ¡/g^g^h‡h u¢“b†|bhhižg n‰y„z{x3ŸŸnnpnpmb}X}Xm]q3q3u{z{z{€q^q^s]s]z{ššnpq^nnsbq3‚l˜]rb€Pnpsbv-˜]n—–8nplbmbn„m]˜]z{nšAnpobmbmbl˜]q3€lbtqmbnprbh/obsbmbhq3q^th/os]hu3u{vw˜]h/tv-hcnplb¦^h/sbsbq3h/š§x3hu{m]h/h/lhh€£h/h/hhhh/h/h/h/h/h/hhhh/h/h/h¤ g3gpžg g^g^hh “b“bh‡h “† ª¨nq3˜]rbn©3xXyu…z{€l]v-Žq^©ƒnmbv-}bmb]q¢l«K€ npy„hz^h/x^q¬h/hhh/h/hhh/h/hhh/h/hchch/h/h/h/hhh/h/hhh/h/hhh/h/h/h/hhh/h/h¤ g¢g…­‘ g^g^hh “b“bhh‡ž­ ®¡šs]u^rbob©ƒmb}lb˜]nqXy„z{z{q3™¯|b}bl°h/hchch/h/hhh/h/h/h/hhh/h/hhh/h/hhh/h/hchch/h/h/h/hhh/h/hhh/h/hhh/h/h/h/hhh/h/h¤ h¤ h±†^†b“g ^ g h b “ h ‹  ¡ ] s ^ u b o b m b l  n { z 3 q b | b } P l ³ ² { u ] m { u ] ˜ b l { z ] l b | p n  y b } b l ) o b r ‰ q ] – X ´ ‰ q –  h / h  h / h / h  h / h ± h g^g^hh‡ž­¸·”•l]l]v-y„˜]rn˜embnm]}šy—µ¶oPv-nr]z{sbq‰l]–±v-nh/s¯hh/h/hchch/h/hhh/h/h/h/hhh/h/hhh/h/hhh/h/hchch/h/h/h/hhh/h/hhh/h/hhh/h/h/h/hhh/h/h± h¹“]†^‹g ºŠ» G'FGNPO)G q^rb¼ o¾q3z{mq3‚p€bz½}ƒz{q^lbvwmbn#u^qXz{q)v-nlbs]rb|bl]qXnpu…y„y˜¾z…}bu{lrbmb´Ásbq3x^n„rb–e}ƒsbm]nKlu^~p˜e~u¢m]q¢–<« u¢u¢|b|bnnpm]lm¿lb˜]oÁ–el]˜b²mb€¾nobrb˜]m]nlbq^sbm]tx3nqq^obtpmbr]q°š›sbq^~pvÂtpm]s]u{r]u^}ƒsbvwq3q^v-vwtplbys]z{s]u^x3vwq^u½x3v-u^lbyPmbs]ls]q^€Åu^x3Ä<¦^u^q^}mb|]u¢lbn|bn‰oœnpvyhw˜]z{x^q^ª npÀKu{mbu¢npmb–ez^šyÃ}€´ µ sby„x3npq^Ào]ªnymP˜bz{€Kx3mbu{ynp´z{¦^©pq{n–e˜enn™^m]sbÀz{nq3q^À oxnlmbyrb˜]lbn˜]€Åbȍh+leÆyu…z{˜]~„s]˜]™3u{q¢mbz^«Kq3lbynx^z{m]mbl/ušɶorb‚}ƒsbr]q^lbsbm]m]l]q3bv-v-lbnl]rbs+yl]z…h u{µÇ˜]vw™^u^mez{u…np€vwu^yÃz{´Xlbnp}ƒvwÉu)‚y„z{leq3v-zcrvw˜]u^nz{}ny„s]µÇv-l]u…np˜#z{q‰v-–8q{ubµ Ä « npz#y—˜]©X«#lbz{™x^x3n—–enpmblbn‰v¿x#rbsbn„–8v-nz¢ÄbqXy„z…u…˜e™^mbšn/v-q^tp©ƒz l]vœl)q^tps]u{mbl]|blbz{™XyÀÅh g

PO NPGPNPDGPIPD I)L  AOPIPD » L/NO)G lbob }bmbq‰l+š– Äb´˜el]lbŽv-mbn©ƒnÈ mbo]}b mb]š›lblbvHoPo–8r]rbsbn„sb˜]q^l°q#tps]m]yu^u…vwz{˜enpv-lbq^|blbsblbs]lbl°q^npx3o)q^u^tlmbselb|bu{n‰mbl]vlby—˜erb|]nq3nmbmbmbmblbl]š›o+vwÄev-u{q3ȍlrbzv-l]sey„npšu{z{~—q‰xX–8–8u{n„u^n‰˜v-v-lrbšsb´Pv-lblb}ƒ}m]q^˜8l]m]u¢v-n–e|bmblbmbq3~pš›u^o#bv-vwlbl°u{l)z{y„˜]n‰l]vwl]ymbu{z{z…n„n„µµµ vwu^v- lPn˜]sbl]x3šmbnn obrbm]qXšy„´z…u{mbm]npq^s]x^u{}]x3l nm]~pyu…z{–8x]u¢h |#˜]lbm]nobmbq3tq rbsbq^tps]u^vwv-l]sbq^xXu{mbl€ ¦3š˜]lypŽq^s]v-©‰˜bµ lb~pusbq3‚x3z{u^l°mbšrblblbq3mb~px^nnps]yyz{}bmblbš›nKvAs]u{y„¦3q^q^x3z{nšz^y}b¦3šl]vA˜eu vwr]u{sbz{l]n‰vwy„©Xu{«Kz{lb–e}ƒnpqXm]v¬uj#Ÿq3h ®¦^n„h ¡/˜enu{x3m]yz{}q^u…sb€)q3x^rblbsb|]npnpv-vlbÄ<€°}ƒrbq^z{qq3‚sb}ƒq3q^v-m© µ q3q^tpv-ql]}Xrbn3sbh q3


!#"$ &%$ ')(*(*$!+&')-,.)&/0 213$3 547680&:9 &(*;,<.3'

j/v-nlbmbmb€bnpÈobmb q3lbnw´XrbyÃsb€q^vwtps]u{u^z{vwn‰vwv-u{l]z{sbl]q^|bxXnpu{ymb}blbln`´H² y„s]q‰n—–8–8mbyqz{lbx ~ sbm]npu^Àlbn¦^m]q^l˜]€nn-‚rb}ƒq3q^rbm]©‰q3˜bv-€blbsb|bmbn‰šy„}b´lbl´PÀ~‰u¢lb–8sbu¢q3|}ƒqyprbu^v-sblq{µµ tm]q u^~s]x3u{u^~mb˜]lblbn3|bÄ]mbmbq3nt–eq q{y˜bq‰«K–ennmsX«x3x^u{mbq‰–ell]€Åz{>h ™#=Åxnse~‰v-u{lb¦{m¬˜e©3ɶ«Krb–esbnpq3mbts]lbu3n/vw² v-lbsbsbnpq3|bx3™ u{mbm]nKlbn—lƒÉ—–eÄ npx{z´Xq‰q –]rb€s] q^l]to seu^xœvwv-ntplq µ sb~pu…q3–8x3u¢u{|bm]l/lbl)˜elb‚„mb˜]nnpo]}bmbz{q^sbtpq3qcmbmbr]q{sbµÇq^x^tpšs]|]u^l]vwy—v-˜]lbl]s]z{q^n„x3˜]u^™3mbmblš€´sbvwnpÀ u{Àu^Èl]mÅz^Ä]yÀŴXąq^}z‰€Åu{} Ä]}ƒrbq3s]mbu^nx^|blm]˜]q]qeÄ]Ä¢xm]u m]u{}ƒÀ qXv-nrbx^™^sbȍn‰z{v`n„€ µ ²Šs]tseu{u^´
lx€ }Xq3”Šx°z{rbq^z{s]nq^s]q3|]x^v}bq3l v~pr]sbq^sbn¦3mblbq^lb¦{~˜e€ melu¢vw« |]u{u{npz{npmbn‰zlbvwlÁ~pu{u^z{v-rlb˜eq¢}]«u{l m]m]lbrbqHsbsbq^~pq3xXu^lbrbu{~mbl]x3šq‰yp–8u{o z{y„™°z^x^x^š}ƒnrbm]u^}¿©Xmby„©ƒm]} ȳu^l]¦^rb~—q^sb–es q3nt˜]|bs]lbl]u3oy„vwn˜
v-µÇ©°tqrbz{s]lbn— re–eubrb Äs] 

l¬€bz…² µ }ƒq{˜] l]|by—˜enpyl z{x^ qK² z{lb–8rbq3q¢´3x#q‰lb–~—–8q3n„z˜]r]lbsbo+q^h lb~px^n„–enmbm]q^tqPlb~„–en„˜]lb€ µ tpqz^lbr]u)l}ƒu{«K–eq^nrbsbq3lb~„µ x^rbn„sb–en„n–em]rbmbsbq^lbn€bz{lbl~„–e€Pn„€b˜]x{l]˜bn€brbnpq^z^}]yÀP©Xrer]u{sbnq3z3yyÃz{€q^rbo)q#y„©q‰–evwm]v-q^q^o)o l)z{q^o)«Kn/bnmbn3Ä]z{q y©vwvwu{sbmbšoP–8q¢´3q‰–  &     "!! !#$ %   ' '  * ,g + ')(  |bv-z{lbqsbq3q^x3z{u^s]mbu{lb«Kn—u^ɗnh z/rbsbley„©ƒz^y„z^x^lbncy—˜]q3x3uÉǘ]lbmbnpobmbq^n„É›xm]u{~px3u^mblblKÉǘ]lbmbnpobmbq^n rbsbq^tps]u^v`µ mb©ƒx^qeną˜]”•˜]lblb©|bÀ vwnpvw™mb-ulbrblsb* g lbx^+w¦^š€b˜]rbx^l©X˜b«Ky„€b}nnmbuPz3mbyÃx3q/€ y„nq^.´Hz{02s]14lbu{3 ~„«K52–e14u^n„˜]6,nz5l]o‚Ž}ƒx©Xq^m]m]z^}bq3š›bv-yÃlblb€bnp|b|bo n‰©Hy„x^}bs]nl]˜]u^nlb~^Ä8|bsb–elbnpu{/mq¢˜]´Xlbq‰– lÅhXrb® s] n—‚p –ez{ rbq3 s]v½ly—€b˜ez{l+©Xl|eÄX€ }ƒu{n›q3x^mbq3rbn~s]|sl µµ q3rbysbq3¦^lbš~x3z…q‰u{–8}y„«Kz^x3nuKxm]z{u¢š›|blbyÀbme|bu{È©)zs]u{y„~3}h8u{®7~pšsbx3n‰u{u…z3˜]yÙ3€mbz…q^u{o}bl]‚p}ƒn q^Ž/mbqXu{v-}]z{lbq^}ƒsbnšrbsb}lu{}~pm]meu¢u^|by„lb:š z^ n„˜]nmb™3mbl]q3n/vÁsbšsbqXmby„}z{ubn Ä ©ƒmbx^np|bn˜]mblbq]|bÄ^nprbmbq^lbmbnKlb«K}Xq3u{mbnpz}b©ƒ–esbq¢np´3mbq‰b–elbm]lÅq3Ä?y„z^s]™q3y„l#zmbrbnsbq3q3z{lbs]~u{x3«Kq‰–8u{y„npz{z^x3yÀnmbx/m]šz¢u^´}ƒq^lboK~—–erbnpsbsXq3« yz{n}°q^o#l°Žr]q3sÅs]h v-Ä?©‰|]˜]z{n^q]Ä3Ä?}ƒ}ƒu^q{} µ mblb* g q~p+—x^h lHq‰7-–8rbyq3q3z{yx^x3zPšuKvwÀ }u3u^y„}bz{À sb™©ƒz¢npu^rbn¦^m]q3q3² xy„nprbrbsbsbsblbq3l°oblbm]rb~q3x3nv-sbq‰©–8n´3y„l]q‰z^~—–ex3–euPn nps3q^v-z«#q¢« }b}bl+©3nzPyÄ]z¢x#mbu^sbns]mbu3z{q3y„q^|bt˜]qnp™^z{}ƒlnqP˜em]l°rbuq^v-q‰mbn„–elb˜em]«K}Xq#qXu{y„lbz^np~—™ sb–elb–enob˜]q¢´Xmblbq‰q3n3–etÄeqmbv-qXq^rby„tpsbz{©ƒq{™ez µ Ä ©v-n=Åmbn‰™3vÁÀ u^mbz{n™3v-yÀnm]lnn^yÄeq^xq^z^q^x^z^nmbz3q3y„z{ylbx3nz{mbn„˜emb™^qmb–eq q¢´Xyz¢q‰u^–e¦^mblq3˜ey™^z{mb™q3²³o‚pr]}Xq^q3x^mbšq3ÀKv-u{l]z{|b™XnpyÃy€Å}Xh q3oy„lbz{©Xu{bl]lÅÄ]rbs]l –embq^r]nnp˜]¦^l]q{lœy„˜eš}™^xXÀu{–ez{l]sb™ ~H©ƒr]tplbq3sb~‰v-q^v-b©^nÄ-n‰mby˜enpy/mblbr]lmbsb€no]´q^lbm]q3~pu…x^¦^€Áq‰™^–8n‰Žv-y©Xz{q^m]x3xœ}bubx^l°lš8€ rbrbq^©X* z^y„,g sb}+Knu¿v-¦^˜]q3q¢nzœ« mbnplbq‰z°–e€m]x3lbq^rb~—tq{–eqœ˜enmb˜]rbnlbsbol]©pv-–elq3npmbx{y—˜]˜]nm]np©Xz{l«#x^€7lbq3z{sb‚p™lbz{q^z{rbo7nq{˜]˜e™^v-nm]q{~„q µµ mbš›vœ q3lbv-m]yl]z{v-sbq©v-q3rbnmbl]z^ypq3u{vmbl‚€½}ƒq^ym]u3q3v-v-q^lbtq)|bn‰}by„s]}ƒlbq^z{tpq ns]u^lm]€ u…˜]xl]˜e~puKlbmblno]rbmb˜eq3u{vAmbl]rbsbsbq^q3xXtu{s]mbu3lvw€Åv-h lbsbq^xXu{mbl]l°mb©Xµ «#rbsbmbleq/v-©ƒn}sbu{nK~pnpu^yz{z{™/np}#yz{|bx^n‰npv-mbmb©Kš›v-v¾š/‚pÄX}Xy„q^q3¦Xmby„q3z{v-x3l]n|bmbnpm]yq/}btl]q^vÁx3q^z{sXsb€Ånp¦^Ä{y„q3z^x3sbu{npm]v-lbl]npvvwyÀb€Åx^hX˜b® €bnr]z^sbyÃlb€ x^n„9;–e:#n<>m]= q30?v9@x^0%šA :#À B2n C 0?D–eq¢´Xq‰–8urbs]n—–erbs]l€bz{l€ÅÄe|bz{q#¦^©p–enpz~pu{r]l]y„šxXu{z{™XyÀ }ƒu^}  & * † + EGF#H  EGI F#H   ' '

')( mbq3u^o}ƒ® rbyq^l]s]~pv-q^v-t©q¢sev)«#u^–evwm]q¢u¿v-´Xš/q‰lÁ–8Äbu–e|bsbz^–eqK©ƒqXt„y„l)u…z{€¾l]rbt„q‰rbu{–8qXn|bz3y„nz…yÃsb€u{}]m]~plbq^ux3x^y„u^}|]nuz^nzcyÃ~p€Pu…q^–8rbxKu¢z{|b~‰leu{lÁvwrbu…le˜]˜]y„l]™3lmbmbn*q^ob† tpm]+„qhq^x3tqš¦^rbq^sbseq^u›tps]rbu^sbvwq3lbv-~l]x3sbq‰q^–8xXy„u{z^mbx^lnmb€Åµ Ä }ƒtqKq^tÃ}b–8sbul]}]z{sbnsblblbz{€ÅnpsbÄ]lbm]oHu^rbm]sbnl]vwv-u{npsÅ}y„Äblev-v-q^lbtp©X~lbzs]x3©^š›nz3y„yÃz{€Å©ƒÄ8r]-uu^z{9@™K02y14©0?vw9Jvw0Ku{sbA#0MmbLšN?n3 OP~‰u{=)z{D8s]hu^®7z{š7}ƒu¢rb|]sbnplby„~pz^x^x^q‰n/–8z…yu{z{}ƒx3q{u]µ Ä –8–8‚}ƒu¢u{q^|b˜]˜]lnq^n3mbtph n•lb|bq3npz‰y˜]}blblb|]ou^È © z^yÃnp€sbq3¦]Qz Ä3z{* s] † u{+:mel y„yrbx^q3n—sb–8z{nmbmbšlbnn•s]l´u^yÃ}´Xq‰q‰–e–8šœmbq3l#v-r]©sÅz{h lb r]©s]lbv-mbš¿blb¦^r]©pl]–eu…n‰v˜]™3q3mb¦3q]y„Ä3©X‚«Kz{l–8u^~pz{u…™ µ “

sbs]n„u^–8mbªy„lbz{|bsbx3np©ƒnmbtmbll]m]€Åv7qām]mbrbnpu{sbq^˜el]z{u{v-™3t„npnpu^mbv`npl]v-˜]všlev-nr]š›q‰m]–]vuK´3x^q‰‚„q3–˜]~pn‰v-˜]v-lbq¢n«#m]mbnz{mbobqXšmbv7ncq3t‚x3q}ƒu{q^s]r]mbl]sbqXu{q^v-mbtplbz^s]|bš u^n‰vwy„rv-}ƒ˜elbq^u^o½s]mbq^q^y„x3xKlbu^z^mbrb©3lsbu{€Åq3]lbÄ?lb~€blÅx3x^Ä+q‰˜b–8tÀb–8y„È z^n x3z3mbubyÃn€¿h r]q3q^t„y—µµ z{q3z·/Ž/u u^ }bnzKx3|byz{nq tpq‚z^qz…u{}°m]u{~pšx3u{n‰v-šnsbn‰y„©ƒs]y„m]šn q3ts]u^mblb|bnpmbl€ÅÄ8q^rbl]yšx3u^È l]n –e˜b€Pr]sbq^lb~px^q‰–8yz{x3u z{q3x3u{s]q^xKrbsbl´Xq‰–elbz{™XyÀz{s]u^z{lbz{™#sbn‰y„©ƒs]yš
}ƒxXu{q^sb˜]q3lbx]|băn‰y„q^z{tpx3s]q°u{m]sblbn‰|by„n©ƒm]s]q]yh q^x]Ä`}ƒq^z{q3sbq^n)v-q¢«#mbq~pu{z^s]u{z{l]z{™°meu°r]sbq^lb~px^q‰–8yz{x^qHz{q{µ  y„˜]lPy|blbz…u{z^™]ā|bz{qxKm]u{À npv rbsbq^l]~x^q‰–
 sbnpy©3µ s]rbsbyš q3ts]* z{u3sbvw©pv-–:lbÄ]sbseq3u{x3~„u{˜em]lbl|b€Kmbš‚pz{n/lKx3–elƒxX–eušŽ/y„u{š}bsbz…™^u€Åq3ārb‚l]mby„npšsbtxXlu{€)ȍz^lyÀz¢h –`y›h rb+—q3Ä]v-z{q q# x ™^v-Ⱦq‰}ƒ–eq3n„‚p˜eŽ/lŽ˜elblbbmbl]no]nz{mbmbq^q3tpqx rb sb' q‰–8Ä`©Xy—}ƒ˜e}]q3lz¢z{u]q^~ph sbu^šz{s]nPu{~pz^u…š7–8u{s]ȍnpy„zH©ƒs]~‰yu{q^z{x-s]u^.z{04š 143  54µÇt12q6 sbx^n‰q^y„~p©ƒs]s]u^ypyuHz…u{m]È uHzrbx sbq3~‰u{lbx3~l]x3q‰y„l]–8v-y„z{qXx3y„qz{ln—–8q3lbz#mbsblbq3byš z…u ^q^µ tp¦{q µ ™^z{sbn‰v-np¦^q^©3x nz^rbyÃs]€ q^lb~px^q‰–8n„y–ez{x3lbu]mbÄwl]z{q½ µ –]tpqc˜b€¬s]npx3y„š©ƒs]rbyp©3ubyh^}® u°šr]rbsb©Xq‰y„–e}©ƒ}bx3yz…n u tpq/ œrx ˜eu{}Xmeq^u ˜]lb|bn‰y„z{ x3n  '  n„–e

lb)mbl]  rbq3z{sbn¦3©^npz rbs]' lP' ‚pz{q3v  &            ! !!,     ' ' )' ( 

—n –8lb¡mblbq^ tÖ8 u µ tpxKq m]s]u…np˜]y„©ƒl]s]|byplbublPh l]v-nnpz^yÀPm]nc¦3q{˜]npn  n„–elbmbl]P‚pz{q^tpq s]npy„©ƒs]ypubăz{qK€]y„m]q]ā|bz{q ˜]lbÈÈ ¦^q^o sbnpu{˜]lb~p©^npv-šoKr˜eu^m r]sbq^lb~px^q‰–8yz{x3u K–eq{˜]« nm ©p–eq^x^˜]nz{x3q^sX€bz{™cq^tps]u{mbl]|bnmµ    &  ' '  

')(  z{q]ÄXz{q ©Kmeu^y›m]npy„}ƒq^˜]™^}ƒq *  +'x^lƒ–8q^x/sbnp}„©ƒs]yq^xl 

e–Œ.q^02|]˜b1lb« 3 z{54šnp1mx3u{©p°€ –eq3mbx{np˜]s]npu{z{x3x^nq3m]sXy€bz{xz{™)}ƒu{«K–eq3v-©°lb~#z…u{}bl´½q^tps]u{m]lb|bnm]lboÅÄÅrb–eq^q^˜]rb©ƒ©X|]y„u{z{n‰levAv-šyl]o y„rz^np˜ev-u^m©       ! ! !    

                 

 %  )%   











  



* “>+

tÃ~p–eu^rbnl] yp u{z{ ™K  }ƒ q3 v-r] u^ }bmb² nn3~pāu^}r]u{u^} yšy„q^q3z{x^npz^y„z^x^©ƒÈ l´Ps]npy„©ƒs]yq^xeh ¼ z{©y„ley„z{n‰v-©v-q¢«m]q  &  ' '     K 

  )' ( 

|bn‰vœv-š7l¦3©p–enpvœx –8u…˜]™3mbno]Ànpv rbq{˜e™^~q3x3u^z{™3yÀÅh ž

z{x3lbu^z{r]™Kq^xtx^
^s]š–]u^rb˜bmbq^€lb˜]|bq3mbnprbnmbm]sbllbn„€ –en/n„x y„˜]z{~pnpsbu¢mbq3–<mbtu¢šl|b´#´Pnx^˜]s]llbu{–ex3m]q^nnm]xobymbs]z{q3npxty„q ©ƒx^s]lƒrb–
}tl]u{lÅ}KÄb‚mbz{npq}Xv-q3z{q¢q^«Ks]nšznl]q3v-tnps]z{u^™mbv-lb|bnpynpz{mbqcl€–]˜bv-€q^mbt©ƒn‰y„zKq¢l]´v-s]u{nz^mb™#€bnprbv-sbšq^´z^lbsbx^n‰q3y„rb©ƒq{s]˜]yq¢q^«#x]ąmbz^šlbncr]u~me‚„u{˜e}bnl}bz{s]q^‚m]nsµ  &  ' '  

)' ( 

* ž?+

{u ~p |bKlb }q3 uy„ ˜])m] n—u –e©² m]–8lbq^oy„x{qX˜ez{y„lbnz…z{r/u{x3x^q^q^˜btpsb€bs]npÈu{mbm] lblbnwlb|bq^n#nr]m]}ƒsblbq^n—o/s]–ev-v-n˜]q3q¢nx^« m]q^nmbo zšypq3´v-z{ys]npz…y„u{u{l«Kmƒ–eu{–8z^˜bu^™]€¿sbėz{m]s]q3u^u{x]rb]hpsbŸ/lbl]q^u^v-m]rbuPnpsbsÅl]«#Äv-z{lbnps]x3sÅnq^¦^Äz{n‰q3m]y—x3š˜]u^l;´mblm]€' uH ~‰ u{y„}n„ µµ ˜]q3y™Xlby„}ƒz{nq¢˜]´3™^q3mb~„€bqPo] yµÇz{tx^qnp}bmbsbmblbq^z^o nsbŽlnp€s]v-* n^m]Äwu{u rbs] l] ' v-n² sÅÄ]rb}ƒlu{ ˜]q^ns]x3u{lb€¿obmbbqXny„m]z{mb™-q3+„yÄbz{z{™ q ^©XµÇty—q°˜]q3rbx^sblbq‰nG–e*©ƒž%}b+z…v-uq¢q3« z{npmz µ q^¦^~pšm]˜8u¢u|]u^mbz{n™½v-z{npsbmbn™^¦3À q^n^xXāu{|bmbn‰lbv n3Ä q3|brbz{sbq n„–ey„n„©˜]vwnpvwmbmbu{šs]m]ou…€¾y„z…u^rbmƒl–8 u{ns]xXz u…€Á  h bnmbm]q3y„z^™¿}ƒq3v-rbq3mbnmbz¿ypv-npyl tseu^vw”Av-z{lbq^sb|]q3}bx3lu^mb~ls]€nmbq3l~€m]u¢rb|]seu^u{n}bz¢z{āl]z…|bu{np}byle}Xv q3tq3q ¦^s]‚p}ƒu^q^~mbq3vqXv-
l]y„z…ubÄ]rbsbl]v-npmbnmbl]n˜]l]mbnobm]q^tqrbsbq{µ g3h q3l]rbn sbxn„mb–enn„o/˜]npr]mbsblbl]@n y„©ƒ= z^O yL z{N x^< ©ƒO ȍNz›L q^ tps]~pu{u…mb–8l]u¢|b|bnlmb² lb€Å|]Ąz{}q/u{}bxl]mbv-nl/oKr]€bnx{sb˜]n‰€bv-nnz^mbyÃmb€Kš›}bv-sbl/lbz{x3npn„sb˜]lbl]n‰|bvlbÄ^m]}u3u{v-}l µ ‚p* }ƒMq^mbqX v-lb |b npy4}b4lb+oPv-‚pŽ/š Žv-npq¢}b« z
n‰vŠ©ƒrbseu{x{˜]€bz{™]ĕx¿|bnpvÂ~‰u{}˜eÈ |]u^nz^yÀ « n˜eu{n‰v-šo †bhl]y¦^|bq3npsy}bm]ln´q^¦¢l]´Xyq‰y„–e˜]l]n—–8v-q^q3x3oHu^mblblbm]oŎÄ8q3u{s]m]vwu{u{˜]]lblb~‰lu#²sbšq^mbrb}sbubn„Ä8–erbn„sb˜eq3ntmbmblbq3n3~ÄÅq3|]x#u3ly„z{rbqsÅrbhiÄe©ƒ~pz{m]n‰u¢v|bnpy„mbz…lbu{z{ole}ƒy„z…q{µµ ‚‰seŽ/u^yδ3q‰lb–8bmblbšnpmb´ z{q3x ~‰ u¢–8 u¢|b l K
<y z{ q^ lev-q3 y„ z^mb š´H }ƒ q^ n‰ Ž/

)ŽwlbÄebq3lb¦^np™^mbn‰z{v-q^q^x xK –e' qX y„z{ ©ƒrbm] š ´ sb np yw©3µ Ä sey„q^x       ' K 
“]h r]r]q‰s]–eu{tx3q3lz{˜]q^q]x3ā}Xyq3o°rbq3~‰v-u¢q –8 u¢|]™3lÈ } x^šs]|]nl]Ày—np˜]mbl]lbz{È n„˜]h ™3 mbq3šy´}ƒq{vw˜]u{™3À }b©HlbmÅy„ănp‚obz^|]q^u3zyÀK‚z{u{q)tcx –8n„s]˜enu^Ànz^npmbyÀÅlbÄ:l}ƒ~pu^u…} µ –
‰~?¼ u¢m]Ž/–8u¢u¢Ž|b|]lbnplÅ}bz{Ä¢nz q^˜]Àz…™^u{m]l]}]qH¦^l}b´P|]l uq3 xcÀnPr]lbq‰¦3m]–eq^uHt}Pq3‚pz{€bz{q^q^x{x3˜]o }X€bn y„nz…–8z^u¢u{yÖ8€m]lbmb|]l šu3´y„x3z{šlq ˜]€bx3lx{np˜bq^y€br]™3ȍvwl]z^yu#yÃu^€½mbmbnplb–eq¢l np«#Žylƒz{np–8sb}bu{©ƒz{m]}bš³mbz{©ƒš›r]sbv q3š y„lz…~pu^u…lmb–8´)q^u¢x3|bl]}blÅy—l µ h r]~pm]s]u{u{m]x^l˜]€Pnmb}ƒl]q3n/mbz{}bsbsbnnp¦3z{©^mbnpq^z#oP}ƒq^u^¦^})˜eu^x^yš›z{y„lPq3}ƒrbq^sbo)l˜]vwq¢u{«Kz{nn‰mbvwlbu{€ z{lb
|]npy„}ƒq3o}bx3u{˜]l]Žlb}u{]lblz…u^}l ­bhxXu^m]u…«#u…˜em]lbu{~)€ sb|]nu^~py©pz{˜e™™…z¢rbu^s]z{q^q^bxen‰h yy¼ u]z{h q  ~psbu^l}‚˜]z{ȍqK|bm]lbu¢z{–8nq˜]™^l]m]v-u{np€ z{™l+x Ä rbx^qlƒ–ey„©3©ƒÄƒz{|bl z{q–enx˜e´3ubq‰Äw–emen u{sblbn¦3À q{˜]nmnpn µ lbm]€Hnz{~pu…q^–8˜]™^u¢|b}ƒlq˜]y„q^l]¦Xmby„nz{obx3m]nq^mbtm]qqrbq^sbrbq3z^tl]s]vwu3vwu…˜]v-™3lbmbsbšq^o¿xXu{rmb˜8lbu{€ÅmÅÄeÄ-}mbu{q°}Hrbl s]¦^u{q^x3˜]l™^˜]À qeÄeq^q3o rbq3sb¦^n—™^–8n‰n„v˜b€by„ȍq^z^r]yé3€ µ z3u^y„m]z{u…x3˜e©Xlb È ~puK lPnpo¬r˜elbu{m]m]Žlbq3sbs]q^vwxXu{u{bmbl]lb€ÅlÅhÄ }ƒq^z{q3s]u…€Áx^n‰y„™Xvwu°]nmbm]u½–]˜b€¾‚}ƒq^m]q3v-lb|bn‰y„}ƒq^tpq s]|bÆz{u^~›q3~¦^rb¦^l]šnpsbs]©3nu{|]yz{rbl]™Xny—yÃÀ €/˜]npxcmbmbq/vwmbrbq3u^tsbz{qnpl]vwv-€]u^npyz{mbmlb€bq]|bz{ÄXn‰™|by„z{‚p}bqKz{lq^y„´ z q3q3x^v-y„sbm]q n‰ q^v-x3m]nu{mbš´mbo˜eqXlbv-u^mbrb©nr]‚o]u^}ƒmbs]q^q^u{mbtpz/qXq ‚pv-rb}Xl]sbq3y„q3mbz^tq3© s]v-u3mbl]vwnp|bq^v-np¦¢ylb´X}Xsbq‰q3q3–etx3l]qu{v-m]u{qm]lu{€´3˜]q3y'sblbz^q^~‰npuÀ vlq Ä r˜eu^mblbsbq3x3u^mbl€Åh 


! "$!%$ ' (*(* $&+!'   , .)&/0 213$3 54 (*' .)<9 (*').)0'

]s|b”•lbu^x^~—m]q‰–eš8–en€˜]nx3 v-g^n‰hig^y„ ÄXz{rbn q^xX ˜]y„©ƒn|] |]u{u3–8n‰y„vq3z{y„l)y„z…˜]u^~pn—x{u…–8˜b–8©X€bu¢È È |b l ©ƒ˜]lbÈAlbnmb˜]Žnplbobq3¦3mbs]q q3v-t©‰q˜]lbrbsbsbq3q3x^ts]}bu3© vw
3m]v-u{lbobsbz^q^lxXu{mbmbnplblb€Å~x3ānpq^y„rbz^l]mbypšu{nmbm]x3šn„˜]nclx µ

 & EGF#H   ' ' )' ( ˜]lb¦3q  & E  ' ' rbsbl)©Xy—˜]q3x^lblx^šrbq^˜]mbnm]l€Pyl]y„z{n‰v-šAm]n')(s]u^x^nmey„z{x^µ s]u^x^npm]y„z{xKx^l–8u                4    ) 4  ! !!      4     K   K    ?      >    2    K      %   ! !!                K    ?      >%4   2    K      %%4  ! !!      4     K 

* ­ +

* ‹>+













































‹

 

   

 

 

   



 





* ‘M+

ªlP˜bs]€Ku{x3mbnnm]}ƒyq^z{z^x3q^uKsbxq3tq^qctp©Xs]r]u{sbmbql] |bnnmbmblbl€€#´v-m]š uKs]z{u^sbypl)y„q^ts]s]z{©Xlbr]sbrbq3š x3
bu…mb˜enpls]x3u{yx3nnm]x^yq^z{~‰x3v-u q¢«#z{lbmbr]šu n•É m]v-nns]m]u^™^x^Ànmeny„lz{˜exXlu s]mbqXu^x^v-mbnq{s]QÉ u3v-*`lycq3mbz qXv- ns] u3 v-l –eq3qz   –e q +  l) s]u^+„x^Äbnmbmenpy„s]z{u{xXx3/u nm]*wyycz{x3mbuqXv-z{lbnr]s]uu3v-ɶ¦^lPq{q3˜ez™^À n l ˜]l) –es]qu^x^
mbq{^hÉQ*`y ylbv-|bn‰n‰®y„y„}b™y„l]ns]o)u{s]~u^u{˜]m]x3lbmbu…|b˜eqPmblbx^š~^lƒÄb´–ez…m]}]u^q]}PsbÄlb:M]12lb6sb12q^0xX u{3 m]= u{<>€65¿rbqXl½y„z…|bu{z{mbq^q3¦3x^šŠ}u y~px^u¢np–
        EGI F#H  ' ' E I E I  ' ' E I  ' '  ' ' )' ( ')(  ')( ')( tÃv-–elbn mble ' v-lb~pu^ b lb' l v- q¢«# mb qK x^ mb

l])vwwu^Ä8mbul€Pm]u mbn/x3mbq^n¦3À s]umb Klbou{z{~p™em]ÄXu{z^}°qKv-xXlby„npmbté3–8yu rbv-sbq¢l°«#sbmbnq#À yn|bmblblbz…lHu{z{~p™eu¢–<Äbu¢|b|bz{lq rblbsbz{npl°sbsblbno À
nmbl]lH~pu…–8u¢|blH˜]lbmbnpobmbq^tpqrbs]q^tseu^vwv-lbsbq3x3u^mbl€Hv-š 9@02140?9J0KA#0MLN?3 Â9 }bsµ  & * >+ E I  ' '  E I   ')( j/lbmbnpobm]u{€PŽ©ƒmb}bblb€     & ' ' ')(  x * ?+ m]u{~pšx3u{npz^yÀ B3 . 3 #65 N>12< B4043 5 ~pu…–8u¢|blÅh 









Q  f f U:T )T Å_ :T Ye\{[-_U`T!-VXU:T`W lb”'oŘ]ăn„ªrb–es]˜b©ƒl]È€)y„ ‚©ƒz{z^leq3yvtz{qPx^À ©ƒ u^µÈq3t qXnvPlq3t´ €bs]x{xu^˜bmbq3€blb¦np|b z^npyÃn€ mbo lby„n„rbx3µÇqXn—mb–ey„npz…nps]u{mbu{m]lbx3q^n nx^m]x3}ƒyyn;z{nx^t*Çqcq ‘M+„v-z{ÄXlbmb}r]q^q‰tpu –eq^É mbq3v-¦^q3ns]ombu^™3Ž~Àlq^€s]nv-z{ll]n ˜]rbl)² q^xcs]seu^q^u{x^tpx^mbs]npq{u{m]É mby„l]z^x3|bu^nvmµ h

rbsbn„–8y„z…u^x{˜b€bnpz^yÀxx^l–en

 & ' ' )' ( 

 

 &  ' ' "      )' ( 

‘

*  >+

* gp¥>+

tÃq^–exXnu{mb" l] n# mbn lb² ~‰v-‚pnz{mqH€bnpm]z°n}ƒv-q^mbz{q¢q3«Ks]u…np€y„z^–ex3uq3rb–eq{q3˜erbmb©3lbyz{z{nl]˜]v-™^šm]u{´½€ rrb˜enu{sbm]n‰q^v-xn
:mbnpmey„u…˜]€Ål h)=+u{©p}ƒ–eq3q3nx{˜]rbnpsbz{npx^q^q3¦3s3s]€bu{np~z µ * ?  +—Äbz^qKx3~„€bx 


"      & ' ' 

')(




]˜rbq^npz{˜]x^©ƒq3|bs3l]€bvnpÄ?z |b* z{gpq)¥?+•r]y u^s]",u   ",Ä  z{ q ©p–eq^x^˜]nz^x^q^sX€bnpz* g‰¥>+„h<Ƴq^¦^seu{z{mbqeÄ
 ,"  

©–8q^x{µ

  &  ' ' &  ' ' "      )' (  ')(  z{qnpŸyz{n™Gs]u^©x^nppm]–ey„q^z{x^x3˜]qnz^rbx^sbq^q^sXz^€blbnpx^z q3rb*  >q{—+˜]h q¢«#mbq3tq ~m]u^}ƒur]sbnq3¦^s]u^~©^npz^yÀx#s]u^x^npm]y„z{x3qx^š|blµ z…u{mbl]npv " 

  &  ' '   - ‚p}bx^lbxXu…˜]npmbz{mbq &  ' '  ",   ) ", 
 ')(  ')( 

|bz{qKª–8q^q^rb}q^u{˜]~pmbšlbx3z^u{n„np˜]z^™3yÃmb€šu{nmeu…rb˜]npq3sbtnplbv-|bnpm]mbqmbš˜]npn |]" u{ ÈÄ<x^m]x3nq‰s]–eu^l]x^v-nšmey„nz{–]xK˜]z{€lbr]rbu sbnÉ q3v-¦^ns]m]u^™^~Àq3nx3u{lm]˜ellP€Psem]u{nx^s]m]u^q…x^ɗn„h µ m]x yq3z{rbxsbxn„–es]n„u^˜]x^npnpmbm]lby„lz{xXyubz…u{ąz{m]©Xu^y~ušyxXq^u{q3È z{z/x^npl]z^mby„q^z{tÃx3–8©ƒucÈ ˜e q^npttl]q|bmbnpynp}bs]l]u{v-x3nlÅm]Ä3y|bz{z{x3qu]h rbq‰–8:M|b= OQnsb6 }]D lbx3u^04n3?z/r]lnsb´n‰sbv-q{n˜em™ µ mbšn mq3zp]€ u^~l¿šŽx3u^q3È s]zvwu…y„˜]z{™3s]mb©Xq^}]oz{©ƒmbsbnpmbq^š›¦¢´3v-q‰lŖ8h l]v-q3yz{l°x‚pz{q3v7mbnpz¢Ä:mbqx°y„q^x3sbnpv-npmbmbš´rbsbq{µ tmbsešu^n3vwÄvwyu…q^´q3z{˜]x^lbnpmbz^npy„obx3©XmbÈ q3t q#lbrbn°sbq3lAts]seu3u{vwx^v-npm]lby„sbz^q3x3x3u^u{vm]hl€P=+u^x3}bx^lbq‰n½–]€brbz3npyÃsb€npv-–eq3npmbrbmbq{˜ešmbn½lbz{x^nx3˜]q‰™^–]mb€bšz^yÃn/€Ár]–]nsb˜bn‰€Av-nq^m¦{µµ ˜]mbnpn„–et|bq^nprbmb©Xly„€¾z{lerbv-q^q3ley„y„z^}lux#m]sbu¢np|]À u…˜eu^™^npv-mbq3q^o¿oP~p–eu…q3–8rbu¢©3|bynz{l]˜]v-lbq3mbo¾npobz{mbq^q3|bt}]ql¾rbsbl q3t–es]l]u3u{vwtpmbv-q3lbysbz{q^lbxX}bu{l¾mblbx3€Åq^h ~‰v-q¢«m]q^o Q  f  d








 







z{©ƒsbÈ
np¦^q3x3lu{m]q3lz{€sblbmbenpq^u{z{z{sbn˜]l]™^]mbu{©ƒz{Èn˜]™^|]m]u3q3y„z{y„z^™l rb
npsbnpv-npmbm]u{€/ ' s]u{~„–en„˜]€bnpyÀm]uKrbq^˜]q¢«#lbz{n˜]™^mµ ' ' * g^,g + '  '  ' rbsbl]|bnpv '  l  '  h =+u^}K}u^}/–]˜b€ ˜]È ¦3q^tpq |bl]y„˜eu x^šrbq^˜]m€bnpz^yÀz{q¢«K–en‰y„z{x3q





 EPFMH 
  EGF#H  
 



z{qx#}u¢|bnpyz{x^ncz…u{}blb´ '  ' v-q¢«#mbqx3~„€bz{™ '  EGF#H
 ' 




 '  EPFMH  ' 







bmz{¡¬™3npq^Èyq¢z{
«Ksbrbl]u…sb]˜en„u{n–8z{mby„nlbz…˜]È u^™^x{m]Äp˜]r]š›npq3mbv¬v-lbl]rbnGv-np* sbqg3npg,©pv-+•–enpmbx^mbq3nmbn„nš›–emblblbv¬m]€q3y|bz{¦{l]x^˜ey„npu…˜emb–8umbu{qer]nphbzn¡ sbn n‰ v-nKnmbq‰l mb–eš mb´?q^o°Ä…v-z…q¢mbu{«#n}ƒr]q3mbsbo qKly„rb€br]sbz{q3l]mby„¦3q3q3u{o°¦x3ylbqXx^y„z{n—q3™–8¦^rbnnmbsbm]lq3mb€ lbq3~„y„} µµ x^u…€)q^˜]y„™^lbm]z^q^©3nu{mb]nplq^€)z{sbyq^l]~„]–8u{u{z{npnz ˜]™^mbm]npq^}ƒnq^z{|]q3l]sby—š˜]nqeărbrbsbsbq^l¦^˜]‚pnpz{v-q3š7v¿s]yu{'x^x3šnm]|byle'z{y—x^˜]-q lbz^* n„g^˜]g +™3mby„q^q¢´o)s]z{u^q3mb|blb}bz{l)™XyÃ~€Åsbh np=:mbu{l}€Åµ Ä rbq^xXq3u{‚z{mbqXlbv-€K© mbnpm]q^u#z{ys]u3lbv-]q3u{v¿z^n„–e˜]n„™3˜embn/q3yxz{™/yq^rbx3nsbs]npnpv-v-npnmbm]mbmbšq^´o#lu{˜]˜etl q3nsbn›lbz^q3vwz^y„u{©ƒ´z^y˜]z{lbx^m]l]nn›obmb©ƒq3|btlbqz{šrbxXsbu{q3Èts]z/u3r]vws3v-€]lbv-sq µ xu{s]˜]tq3©tv-lbn}ƒmbnzu…rb˜eq‰t–8q^z{s]x^lbnpz^s3vw«Kub–8Ä8u^u#Èy„ x3n—lb–eonpmbyx^lbq‰-n –e* l]g^v-,g qX+ y„lez{y„™Krb˜]q^˜]ȍ™^¦^~pq3©^onz3~‰yÃu¢€–8u¢˜]|blblÀ })™ }ƒ}u^u{mb})q^z{m]nplbq^|bsbnpnpyz{}ƒlbq^|boÅn‰h y„}blbo Q  f   V ÅY bY][ #VY]Z`[-V V -VXU`T  =+u^}bl]v q^¦^seu{~qXvÄexsbn~p©‰˜]™…z…u{z{nK©ƒmbl]Žlb}u{]lblH}bs]lbz{ns]lbnxeÄ8q3ts]u^mblb|bnpmblbo°lHrbnpsbn„µ v-nm]mbš´Pv-š7rbq{˜e©X|eu{npv }u{mbq3mblb|bn‰y„}b©ƒÈ7~pu¢–




       !! !    

                



    %4   %4 



 



* gp“>+

l)©3y„˜]q^x3lbo * gž?+ '     K  )

}˜]u{npmb} mbl]šn~„sb´µÇ~pn‰rbuv-nnx3sbmbx^n‰m]n„v-–ešnnnmbmbm]lbx¿š€K‚´<˜ez^ÄXq^q^mbto¬qcl]|b–]~‰u¢np˜]y–8€ }bu¢lm]|b´?u^nyăx3z¢‚pq^u^z{~‰} qv-l©Xq¢« «~‰unm]q y¦^|b©pq^–enz‰z n˜]z/lblbr]~|]¦Xq^u^u{~pÈ x{u…˜ez^–eyÃnl#€¾mbl lq3€#yz q3‚prbzz{nq^~sbtpmeqx3u{q^v-}ƒm]q^q3u¢mbv-|enpnpu…q^mb˜]rbz…™3s]umbn—šv-–e´?nš µ Ä ¦^rb©psb–eq3n‰z{vlbx3l]mbv-q^nptpz{q]™h –en„˜eql]y}˜]ȍ|blbz{n˜]™^mbq/y ~pu…–8u¢|bnp/o * g¢ † +¶µ * gp>“ +¶µ * g%ž +—ĉnpy—˜el mbn q^tpq^x3q^sbnpmbq q^tps]=+u{m]u^lb}b|blbnn m]y—l˜e€]©Xv-|elu{lx¦^Žšq3x3s]u^v-È nz¢mbÄ?npls]u{lbx3mbnq^m]tÃy–“ y+  


v-q¢« npz ¦3šz{™rbsbn„–8y„z…u{x^˜]nm]qK}u^}r]u^s]uKmbnseu{x^npm]y„z^x  &  ' '  
 )' ( 

 

  

 & ' ' )' (    & ' ' ')( 



 

 

z{q^qœtps]l¬u{m]}lbu{|bmbnq3m]mbllb€]|bv-n‰ly„}x#u…Ž€¾q3~ps]u…v-–8nu¢|]mbu ns]v-u^q¢x^«Knpm]ny„z¿z{xe¦3h šz{™ rbnpsbnpŽq3s]v-©‰˜]lbsbq3x3u^m]u½}u{}¬~‰u¢–8u¢|]u y Ÿn}ƒq^z^q^sbšn/y„z…u^mƒ–8u{s]z{mbšnq^rbs]n—–en˜]nmblb€Åh  Z`[-V V -VXU`T`V Q  L :#120 3 120%D   14:A  M: OP=)D 6 LK:#140  3 120?DK9@0@6 3 6 M02C  :  LK:M120  3 120%D P1:A  M: OP=)DN>= .6 #0%DK9J0 143 6O L 02B4:MO 3 .>126#= O 0 ®¾rbseu{}bz{l]|bnpy}bl´~‰u¢–8u¢|eu…´ |]u3y„z{qx3yz{sbnp|]u{ȍz^yÀPr]sbq3yz{šnq^sbt„u^mblb|bnpmbl€x3lƒ–8u * g‰ ­ + '  '  '    K ) tÃÈ–e n lb'n/q^tp' s]² u{m]lbmb|bn}ƒnq3m]z{lq^€ sb*šgn?ž +„mbh nz{s]lbx^l]u{˜]™^m]šnx^n˜]lb|blbm]š *'mbn l˜]l !#" +„Äeq3¦^q3¦ u{µ  Z`[-V V -VXU`T`V$ f  L :#120 3 120%D% & 14:A  M: OP=)D('#L 6= O 9@0 L :#1204B4: 9@0 x3 u^sbmbqXly„€z{šqXy„nq3t¦^s]š›u^v)mblbq^b¦3s]š u{~pq3q3¦^vs]Ä¢u^|b¦3u{z{z^qšlKx3q^u{rbȍsez^u{yÃx…€ –8šu…˜]x3tpu{q^npsbz›lbx^z3š vw–8u^n„v-˜]l npmb˜]lbl]n mbln´obm]xcq^q^tzpq°–erbn„˜esb™^q3mbts]šu3o vw}v-˜elbu^sbypq{y{µ h  Z`[-V V -VXU`T`V *) 126,+3 = O #6 OP:#< 0       

 .- KOQ6  .KDP140  /'46 .C 1?D OP=)D;L : M3 14= O M:0  0 N>= .6 #0?D 1 0?.0 0 66 3 120?D2 & - 14:,A  M: 3 OP=)D 














6 2N>= OQ0%9 99@126,+ 3= O #6 93

 '

e–q^=Åtpq3q3s]rb|bu^©3}bv-yl7z{l]l]sb–ev-q^q3q^xXrbn u{©3mbyv-lz{mbl]€q¢v-« z¢q3u^n‰t}y„q¾« z{x3v-nq mbm]q¢mbu^« n~r]šn‰©3y„xXy„z{u{z^xXnq]u z3Ä]yÃz^€#m]qu{–e~py„q^šq3r]x3q^©3u{z{y„ȍx3z^nl]z^z^v-yÃy€¬q^z{oÅx^–8©ƒh q^È rb ©Xy„u…z{€l]v-~‰u¢š›–8v-u¢l|]uKz{˜eq3lb|bmb}nu^o]v-mblÅq^h tpq y—rb˜]sl µ 54

6 '3/,<.)+&' 4 . &$487  3 &%

54

"$!%$ ' (*(* $&+!' 59

ª´3q3˜bsb€/q^À ˜]©ƒq|brbÀ s]nn—tp–8qyrbz¢u^q3x{mb˜bl]€bvwz^u^™mblyn€¦3y„nc©ƒnpz{n/lKt~pnpu…q3–8v-u¢n|bz^l/sb˜elblb|bmbn‰y„n}bo]©ƒmbÈq^tpqrbsbrbl]sbsbq3q‰t–es]©^u3h vwv-lbsbq3x3u{m]l€rbq{˜en~m]q Ÿ/u¢|bmbn‰vy bn„˜]npx^q3o Ž©ƒmb}bbl]llKrbq^sbq¢«K–8u^npv-q3onÈÁtnpq3v-npz{sblb|bn‰y„}blb´q^¦3™^n}]z{q^xeh  sbn„–erbq{˜eq¢«levė|bz{q›m]u3vl]~x^n‰y„z{meumbn}u…€–eq3rb©3yz{l]vwu…€z{q3|b}u :9  :9 ;9  

;9  h ¼ z{q3oz{q3|b}ƒny„q3q^z{x3nz^yz{x^©3nzKq^rbsbn„–en„˜enmbmbq3n~m]u¢|bnpmblbnbn˜]nx3q^oŽ©ƒmb}]blbl 

9

 &   ' '9

)' ( 

=< 9

gp¥

  




 
 



  

7

<9



l]h y^h3g
"!+lbrbns]r˜]q3y}ƒq3y„z^™$#% < 9  yq^q^z^x^nz3y„z{x3©XÈ u{€c~pm]u¢|bnm]lbÈ¿bn˜]nx3q^oŽ©ƒmb}bbl]l

^qo)mbŽq¢«K©ƒmbnpy}bz{bx^l]qclPz…q3u{¦^}bs]lu^´ ~©ƒÈ z

tlbMr]nsbMr ˜e  q3 y„}ƒ4qXy„ z{Ä^™ }ƒq^z^q^sbšnl]v-npÈ zz{q« n~pm]u¢|bnpmblbnbn„˜enx{µ

 =< 9  &  ' '+*

')(  ª©ƒs]˜bu{€¬x3mby—n˜em]©Xlb|enpu…v € –ex^©X´Árbns]npv-nm]mbš´*@  $+ tlbr]nsbr˜eq3y„}ƒqXy„z{™,# % < 9  ~pu…–8u{npz^yÀ # % < 9  -& )4  (    4  < 9 *  }ƒq^z{q3sbq^nq^rbley„šx3u^nz°x°r˜eq3y„}ƒqXy„z{l     rbsX€]v-©ƒÈ ˜]lbmbl]ÈÄw}u{}œ‚z{q½rbq3}ƒu^~pu^mbq  & )(   #% < 9  '

m]y„q3u#z{s]mbl]lÅy{ăhiu/g^h8z{®q l sbn‰z{u…š›˜]yÙ3€bmb|bšl´)rb~pnu¢sb–l: Žy„.K˜]D ©ƒq^L mbxX12}bu^6#]v-3 lbl/lK'#v-L v-6,q¢q¢0K«#«#A mb mbq 3 q y3 y}ƒ14|bu^04lb~p3cz…u^u{z{x^z^™]np™cĄ}b|]z{m]z{q^nq s]}ƒq^q^bx;z{nq3˜])lsbnxXš›u…v°€…hbx^Ž·n©ƒ}]z{mbz{q3}bq^¦^sš µµ ©ƒrbsbqXy„z{lbz^™ q^¦3q^~meu¢|bnmblb€ÅÄbv-š7¦3©p–enpv ~pu^rbl]yšx3u{z^™ y„}u…˜b€bs]mbq^n/rbs]q^lb~px^n—–8nmblbn/z…u^} 











g^g



« n3ā}u{}PlPq3¦^š|bm]q^n




    & ' '

')( 

^ªq ¦3˜b¦^šš€)|b|]y„mbmbq^q q^}]n€]s]y„u˜emb l qnrbmblbsbl~q3€P}ƒlbq^~q^x3m]¦3n—z{q^–en~np}memby„u¢z…lb|bu]n›nămb|b€bl]lex{oy„˜bn„v-€b˜Pȍšl]z^v-¦^yép€n–enp˜]z^n‰yÃl)v € q3–exrbq3nx3rbs]lƒ©3u^–eymƒ}©–eu{lšAz{˜]™Kl|bz…l]u{y„y—}}˜8«Ku…u^˜bv-n/€bl)s]l)mblypq^˜]v-nlPn² ÀKx^npu{x^}bmbnpz{š}bq^z{oseq^u^y—s]v-˜eq^©3lÅx]µ hÄ |]®¾u^‚po z{
]q3rbvÁs]q^y—lb˜e~p©Xx^|en—u{–8nnmbsblbn~pn©‰x^˜]lƒ™…–8z…u{u
z{qXv¿:Äe¦^tép–e–ennpz#¿²y„|blb|bz…l]u^y—z{˜e™3q]yÀ)Äeu-x^np}bz{ q^s      

    ²  x3nÄ]}b}ƒz^q^q^sÅq^µ h s3–elbm]u^z{š }ƒq3z{q^sbq3tqKq^rbs]n—–en˜b€bÈ z^yÀ)}u{}    āz¢h n^h 

 4   )4 

*-rbq3}XqXv-rbq^m]nmbz{m]q^nc©ƒv-m]q¢« nm]lbn@+—h



M 4>   4 

˜]mb™3šmb´ ”•q^o}s]u…np˜]˜bu…lb˜e€bm]lbsbn~pm]obu^q^mbbncq3lrbo €sb´¿u…q^˜el]©ƒt~|bnx^lb¦3n„z{sb–ešn#nxXm]l½u{lbȍn˜]z^lbl]yÃm]t€œs]nobu^qXnmby„zqXq^v¦3q3n|bmbrbnm]sbm]q3q3™ y„t~pz^s]m]l¿u3u¢vw|bx^v-lbšlbz{|bsbnle˜]q^y—™^xX˜]m]u{lbmb©Xz^È7l]n„lŘ]sbh+™3q^mb®Š˜]š™ n´œtxKqu{x^sXr]š´sb|]lbq^l]z{tpnpy—s]}b˜]u^z{l]vw©ƒz{v`sÅn„µµ Ä ~sby„q3mer]x3u¢ypv-|byv-l]n‰y„v-q3z{z{q3l]sbyv-z{nm]™¿qXlby„‚pz{Èz{™œhq^o¬q^rbq3s]rbnpnu{se]u{lbboÅlbÄ l+x^ĕq^v-r]sbš q3ymbš np}Xz^q3q^z{|bq^mbs]qXq^y„nz{lAx3mbx^l]švw|bu{lem]lby—˜]nnpmbnn°lbo ¦^q^lA˜]nrbnsÅr]hq‰Œ –e|]sblbq^z{¦3šmbq3x3v-u{€© m]uKq^j/¦3nštp|b}Xmbq q3rbnsb©q3v-x^nmbs]q¢lb«Kz{n™]mbÄXlb|bnz{q|bley„y„}n„u{˜:˜bh]€b®¬sbmb|]q3u3n y„rbz{m]sbq3q3y„lbz^~lÅx3nÄXmb–]l]˜bn €Prb˜]qKÈ y„¦3x^šq3´l]v¿x3ny}bx^z{q^q3oesby„q^z{x xXu^ v rblq¢´3 q¢«Kn  

     & '  '  '   & '  '  '  '   & '  '  & '  '  ')(  )' (  )' (  ')( 



 #

¼q¢« z{qnpmbylx^€Åq3h o]y„z{x3q#m]u{~pšx3u^nz^yÀP–el]yz{sblb¦3©ƒz{lbx^m]q3y„z^™^È ©v-mbq¢«Knmbl€q3z{mbq3ylbz{n˜]™^mbqy—˜bµ lbz{q~px^=+n—–8u^n}mb«Kl€n•r]mbsbnprblq3©yv-sbmbn—–
 &   ''  )' ( 

 & '  '   ')( 

 

brx^ÆnpsbÄÅ}bq3m]z{lbq3u^~s]}ƒx3q^un—–embnpnplÅmblÄÅ:€Årbn—h`q^–8˜]ªlbnmb˜b~plb€mb|bqm]‚z{q^rbq3ocsbtn„–]q½–8˜]y„s]l]z…u3mbu{yš/x^y˜bhpv-€bŸ/q3z{z{u™sb‚pl]yz{nvŠq3¦^vPn#sbsbl]tpl]ny^qXyh•©ƒv-†°mbn}ƒz{m]nwsbu½l]q^|b¦^}ƒq3npq^y~z{}bm]q3lbu¢sb|]o¿q3nvEmbyv-šlbš›~©ƒq3y„t ˜¦^˜]s]š y„u{}« /u…np˜]*]mb€bv-šÂsbn„mb«K–eq^–exXtp©qu x^”•npq^}bq3z{z{q3x^s]npu^z^v-y„ z^l x^n m]l mbq ;+„ Ä *•©Xtpq{˜°v-n«K–e© /l°q3y„™3È $+ l * v-n„«K–e© lHqXy„™3È $+—h z^yÈ –8u 

                    

       



    

         "      "

g‰†



 



  

 












7'l]y{he†
e”•}u…˜b€bsbm]q^nrbsbq3lb~x3n—–enpmblbnx^np}bz{q^s]q^x

l ¢ h

 
  

7



l]y^h]“
e”•}u…˜]€bsbmbq^nrbs]q^lb~px^n—–8nmblbncx^np}bz{q3sbq^x l ¢hb® z{q3s]u…€Plbmbz{npsbrbsbnpz¢u^bl€Åh gp“

"!  

  

 





 

   

 





7'l]y{hbž


bs z{q3tq^meu…˜]™3mbq3yz{™]h z¢h n3hp¼ y}ƒz{u{q#˜bs]€bu^sbx^mbnq3menwy„rbz{sbx3qKq3lbr]~q^x3~n—x3–eq{np˜bmb€blbnpnwzx^–
('

'

)'

  '

' '

'

'

+*

   

' "'

'

' '

',' "'

'

         l< h '

' "'

'

',' "'

-

tÖen q^¦3q^~meu¢|]u{npz©ƒtq{˜v-n„«K–e©x^np}bz{q^seu^v-l Q  f V wV3d<_   ?U  :T –]”•˜b}€)u…˜bb€bns]˜]mbnq^x3nq^orbsbŽq3©ƒlbmb~}]x3bn—–elbnpl mblbn•–8u{npzx^q^~‰v-q¢«# mbq3yz{™ }ƒq3v-reu{}bz{m]qc~‰u{rbleyu{z^™cx3šs]u…«Knmbl]n -



.



/

 & ' '  

(      " 9   < 9    9    9 
)q3sbz{q3tq^meu…˜]npm ˜]ȍ¦^qXv-©œx3n}bz{q3sb©  



Æ~s]u{x3nm]yz{x3u y—˜en—–e©3nz¢Ä|bz{q lÅ# Ä % y— < ˜]n„ –eq^* yxXvu{hƒz{nsb˜]le™^y{mbhXqež?Äw+—hƒx^·np}bl]z{y„q^˜]s q < q3rbsbn—–8n„˜b€bnpzrbq{˜eq¢« nm]lbn›tl]rbnsbrb˜]q3y}XqX;9y„3z{ĕl tÖe# n % <  Ä rbsbl#np9 tql]~pv-nm]nmblbl+Ä^tl]rbnsbrb˜]9 q3y}XqXy„z{™ y –ex^lbt„u^nz^yÀKr]u{seu…˜b˜]n˜]™^m]qyu^v-q3o#y„n¦3n^Ä3}ƒ9 u^} gž 10

 







 


 



 

 

 

 



n nl]~py^m]h3u¢­ |b
n m]u{ls]€Åu{h ˜b˜]n„˜e™^mbšoKy –ex^lbt ˜]l]mblbo#©ƒsbq^x3m€bn˜]nx3q^oŽ©ƒmb}bblblrbs]lKl]~pv-nm]nmblbl ‚m]z^u^q¿rbs]rbu{q^x^}˜]u^n~pmKu{m]z…u{q}ÅmeÄ^u¿}ƒu^sb} l]r]y^q^h }­bu{h ~‰u{ mby„qc˜]l¬m]ux^sbnpl]}byz{©ƒq3mbs¾}ƒ}Xn^ąq3z{npqŽ/˜]Žl]lbmb]lblbl#nmb©ƒz^sbq^q^x x3mb€ n˜]]nn„x3˜]q^npo¬x^q^Žo©ƒŽmb©ƒ}bmbb}bl]bl l]l  rb* sb
* gp>‹ +   7

 

)/

(

g‰­






 

 





7'l]y{h]‹


q{˜e©Xr]sbq3yz{s]u{mey„z{x

*43

##" < 9 

z{q^|]n} z…u{}bl´?ā|bz^q

 2< 9 h

) "!$#&% '&( )+*-,/.10 *2

576896;:

7'l]y{h8‘


q{˜e©Xr]sbq3yz{s]u{mey„z{x

##$ < 9 

gp‹

z{q^|]n} z…u{}bl´?ā|bz^q 

2< 9

h

  y„˜]lÁx^n„˜elb|blbmbš  M    

   y|blbz…u{z^™ }Xq3q^s3–elbmeu{z…u^v-lœmbn}ƒq^z^q^sbq3tq½x^np}bz{q^seu Äbz^q y„l]yz{npv-©mbns]u^x^npm]y„z{x * g‰‹>+ v-q¢«#mbqrbnpsbnrbleyu{z^™Kxx3lƒ–en * g¢‘M+        K 



]˜¡/©ƒu{rb})sblqXy„–]z{˜bse€u{m]bynz{˜]x^nq x3q^oŽ©ƒmb}bbl]lÅ# Ä]} u…'«K–e& )(q3nlb~ ‚z^l´   mbns]u^x^npm]y„z{x#q3rbsbn„–en„˜b€bnpz#rbq{µ  * u{meu…˜]q3tlb|bm]q^n # $ < 9  m]us]l]y‘ƒh8”•q3¦3y„z^x^nm]mbq tpq^x3q^sX€ x#‚z{lb´q^¦3q^~pm]u¢|bnm]l€´ #

  ## $   

¦^q3~m]u¢|]l]v¿y„seu{~©|bnsbnp~
#  tplbrbnpsbr˜]qXy„}ƒq3yz{™]āq3ts]u^mblb|blbxXu{È ©ƒÈ #  -& )(

  *

#




q3y}ƒq{˜]™3}b©–eq^rb©Xy„z{levwu…€Hz{q3|b}u –eq{˜b«#m]u©p–eq^x^˜]nz^x^q^sX€bz{™ M=3 9 m]ns]u^x^nmey„z{xXu^v * g…‘M+„Ä{z{qytpnq3v-npz{sblb|]npy„}ƒq3oKz^q^|b}bl#~psbnm]l€Kq3m]u–eq^˜b«#m]urbsblbmeu¢–]˜]n«Ku^z{™/q‰–embq3x^sbnµ v-nm]mbqx3y„n‰v #  h]® x^q‰–]€q3rbnseu{blbÈrbnpsbnpyn|bnpmbl€v-mbq¢« n‰y„z{x  v-q¢«#mbq~pu{r]l]yu^z{™   #   #   ! !!  #     (  # )

rbsb q^šsb˜]´)l]©ƒv-|b~pnpu…nsH–8mbu{q3z…npn u{z^rb}ƒyÃnpq3€)sbtqynpx^yv-nq3|bl]mbnpvq¢mb«Klbq^npnprbyvPq3z{sbx3z{mbu#s]š›n„r]´v sbrblbx^q^x^np˜]n„}b–e©ƒz{rbnq^m°sbs]q3q3m]yv uz{s]sbu^l]m])y{ y„h?z{ ]x Äe# tà –e  n   # ]lbā ~m]q3l u{¦^#rbs]seu{^Ä« u{px{}np˜eu{mbn« qmb–8lv-q^€mbnwq¢}ƒlb«Kq^~•z^np}Xq^y„q3sbz^z{x^šq{q]´ µ Ä rbq3}ƒu^~pu^mbšÁm]us]l]y„©ƒmb}ƒn^ălPrbs]u^x^q^o|]u^yz{™^È  ă}ƒq^z^q^s]u{€ q^rbsbn„–en„˜]€bnzy –ex^lbtq^tps]u{mµ 

lb|bl] x3u{qÈ sb ley{npoh tplbv-rbq¢n«#s]mbrq ˜]q3rbysb}ƒn„q3–ey„rbz^q{l˜exq¢«‚z^l]q3z{vœ™]ÄXm]|bu{z{rbq seu{x{˜eq^n¦^mb˜elbu¢l+––e<,˜b.€½6#= u^O m]^u…˜eh lb~pul½sbnÀ nmbl€~pu…–8u¢|H˜elbmbno]mbq^tpq Q     Z -'Y &   q^s]vwu{˜]™^m]q{µ¶vwu{z{n‰vwu{z{lb|]npy„}ƒq3nq3rbsbn—–8n„˜]npmblbnx^šrb©ƒ}˜eq3y„z^lx3št ˜b€ƒ–elbzz…u{}Åh  Z`[-V V -VXU`T`

V  ) 126,+3 = O #6  1:A  M:M3 OP=)D  /'2N><,.  9 - 3= .0P0%A O 6 6 - KO 6 





= . 3  N?3 O

)/





   

0

   
  0

2K       

0

ªl)sbx^©ƒn‰y„t™Klev-q^lz{sby—np˜]~q3q3x3}Åu^Äbv-y„l+q3Än—–elb²mb€bx3Èš rbl]©ƒoP}˜]lbq]´Äpnp* y„yp˜]vl/h]sbx3l]v-y^n‰hby„z{ >n +„h y`–ex^©v`€/z{q3|b}u^v-lq3mbq›y„q‰–enpsX«l]z ‚„l]˜eu{np˜]v-= ™^nmbsbm]š›lbz{x^v½mblešr]u…˜]nsb™3l]v-mbv-mbš›nq¢s]v-« q3ln‰v y„rbz{€bs]xXx^l]u ˜bv-€b+›nns]lz3u3yÃv-xX€ y„lrbn q{x3rb˜]šsb©ƒrbq3rb©ƒys]}z{q3s]˜]y„u^šz^m]s]´ y„u{z{v-m]x3mbyq z{q¢« x^x^qenpn‰}bÄ3y„z{x3z{q3šxsbrb€bq^©ƒx{x }˜b˜]:h€bqX8ȍy„·z^z{yÙ ©ƒ€ z{}X™Pz{q3q^z{v-|]q^n}bs]mblq^nptn*+q z{q‰m]s]–eu¢lbmb–8x{q{q µµ x3ync« n–eq^}u^~šx3u^z{™]h g¢‘

   




7

  




l]y^h‰
—ªq3rb©3yz{l]v-q^n•v-mbq¢« n‰y„z{x3q}ƒu^}/rbns]npy„np|bnm]lbn'rbq^˜]©ƒrbsbqXy„z{s]u^m]y„z^x$#GM #P  # h   

  

     



7

l]y{he 
b® šrb©ƒ}˜]q3nv-m]q¢« npyz{x^qeh gp

s]u^m]ªy„z{q^x3}q]u{ā~‰}ƒu{q^z{z^n˜]q^sb™3q3yz{ncx^yqeq3āy„x^z^rbq^s]lbq^z|blbn‰~vz{Äeq3rb|bs]nq3}Åy„Ä]z^©n–8obÀ q^x{n˜en^nh z{ x3q^©3sXy€bz{™È # l²´ mb]m n nse}ƒu{q^x^z{npq3m]sby„q^z^nx^© rbq‰–erbsbqXy„z…µ  

–]mb˜bnpmb€ š mbnmb}ƒnpq^s]z^u{q^x3sbnq3m]tyq›z{x3x3un}bz{q3s]u l|bl]y—˜8u  h  y„˜]l  l;   r]sblbm]u…–]˜]n„«u{z# Äpz^qx3šrbq{˜bµ * gp>+   ½l    

m]=Åunprb ns] ™K)r]©3ly„y—z^˜]™ q¢«# lbx l ´?ā rbhq^Œ˜]v-©ƒ|bm]l]q¢v«l]xKq‰–8mbq l]~cm]ns]u^x^nmey„z{x * g‰>+•m]u ÅÄbuKx3z{q^sbq3n ²


                  



  /     




 

z¢h n3hb®z{u…q3«#|b}mbuQq^n~pm]rbu¢s]|blbnmƒm]–]lb˜]nnl]«#v-lbnz npz# y„ā˜]|bn—–8z{q#©XÈ l) z{nps]nn¦^y„q3x^x3q3u{o]˜]y„z^q3x^y™/qK–ex^šq3}ƒrbu^©ƒ~p}u^˜]z{š™]h´Pv-mbq¢« n‰y„z{xeh RVƒaac_ Q  3 L 3= 3  3 1203   /'2N><,.  9J146,+ 3 = O  0  /'4N <.6 %°Y Å_ 3_ bV '& d8Y  Ÿn‰v-n—–]˜enmbmbq›y„˜]n—–8©^nzlb~'q^rbsbn„–en„˜enmbl€Åh—ªno]yz{x^lbz^n„˜]™3mbq]Ąr]©3y—µ z{y—˜e™ n—–eq3 x3 u{z^ n„˜]™3mb q]Ä l     &h =+q^tÖ8u  @)    l     lÅÄ %

%



0

%

0

%

0

0

0

%

0

%

         ; 2          –]˜b€r]sbq^lb~px^q^˜]™^mbq3tq  
  h z^y„È –8u y—˜]n„–e©^npz‰Ä‰|bz{q
 2           0

0 %

0

0

%

l‚z^€ q^o€bx^q3˜]˜bynp€b}Xvwnq^v-z^˜]yÚ™^€œ}]y—©rb˜]n–8n„sb–eq^n‰©^rby„np©Xnpz y„|bz{nnpl]mbtv-qKl]q3npx^vncšv-rbx3m]©ƒšq¢}rb« ˜e©ƒq3np}y„y˜]z^z{š™]x^hq ´¿®¬x v-y„~‰mx3u¢« q^–8È7n‰u¢y„|]z{q^n x|b˜]np* l]sbmbn—r]–8nq{ob™]˜]m]ā©ƒq^x^rbtšsbqKqXr]rby„©Xz{sb}bseq3˜]u{tq3m]s]yyu3z{z{vw™x v-–8+„lbq^Ä`sbrbz^q3©Xq°x3y„z{u{lblmb~ µµ q^q^v-z3r]q^y„sbtp©ƒqKn—z^–ev-y„nz^˜]m]x^l]q¢lb« v n npxy„ym]z{‚u¢x3z{|eq3uu…o/x ˜e~pu ~‰u¢u¢–: 14:A  M:M3 O = D OQ6 K<>6,5@.6<>:. 126 6 9@02140?9JN9@: N>12<>B2C 020   14:@9@126,+ 3= O M3  - 3 = .0 = N P3 = O #N>O OP:#<>63  - KO 6 

.KD M= 3 
O :M< 0 - KO 6








    "  '  /0/(0

'









3©!Xy˜]z{q3l]¦3v-u…˜eqX™^vœmbv-šmboq¢«Kv-lbnpm]yz{l]x^v-n ©v¾
² ‚z{q)v-lbmbl]vwu{˜]™^m]q^n~pm]u¢|bnpmblbnŽ©Xm]}bblblmeuxXy„npvÁ–eq^rµ  Z`[-V V -VXU`T` V  6 K<>:  14:A  M:M3 O = D OQ6 K<>6,5 .6 : .>126 6 9J04120?9@N,9;: N 14< B4C 020   14:@9@126,+ 3= O M3  - 3 = .0 



.KD M= 3 

(0





 



gp 





0.16

0.14

0.12

0.1

0.08

0.06

0.04

0.02

0 0.0

a

0.9436

b

el y{hÅg‰¥
j/q^}u{˜]™^mbšnl)t ˜]q^¦Xu…˜]™3mbšncv-l]mbl]v-©v-š/h  q^mb€bz{mbq]Ä]|bz{q }u…«K–ešo)t ˜]q3¦3u{˜]™^mbšo)v-lbmblev-©ƒvÁ¦3©p–enz#l)˜]q3}u…˜]™3mbš›vāq^¦3s]u{z{m]q^n^Ä q‰–em]Ÿ/u^}ƒuq]‚păz{mbq3nv x3nsbsbl]m]yq]©Xām]}}Xu{nc}Plb‚~pz{q^q¦^serbu…q3« }u{np~pm u^mbtseqKu^m]ŽuKlbsb}Pl]Žy{h+©Xgpm]¥b}bh blbl         
 m]mb©‰u°˜]q^n3z{Äws]mbnq½~}ƒxnse  u{obq3 2mb n) n— –e lbh:m]Œ lbb‚pšz{q^oÁmeu…Ž´3q‰©ƒ–8mblb}bz{b™3lbyÃlœ€œt n ˜] q^nP¦Xu…q‰˜]–e™3lbmbmÁšo¿v-lbv-mblblembv-le©ƒv-v©ƒÄ•vŠmbq½m]u{©X´3« q‰–enlb˜]z3q^yÀ½}u…x µ ˜]Ž™3©ƒmbmbš}boŏbh•l]l ” z^ q^|bmb qXy„ z{™3È –e q½ ž{hµ ´¿=+q^~|bm]}u^u}Xq3x°np˜]tqq3}ru…˜]˜]q¢™3«Kmbq^ntpmbqHlbn v-lbmb l] v-©vw u½ v-lbmblÁlev-~melbu¢~lb|bs]nmb©^l]nz n   Äbmeu{rbsblev-nsÅÄbmeu q3z{sbnp~}ƒn   ār]q3v-n|]nmbqXv¿m]usbley„©ƒmb}ƒn^h «K–enª m]˜bsblb€lbnx3trbn—˜]q^–eq^lenp¦Xm]y„u…}u…˜]u€™3˜]mbbq3q^n„}ƒtp˜]qu{np˜]x3v-™^u{lbm]€mbq^l]Žtv-q#©ƒ©mbv-vw}blbucbm]lb€bl]€Åx^v-Ä?˜b©€bq‰vw–enuz{m]™Xu{y„yÃ}ƒ© €qe Ä














E  

(0

†{¥

* gp >+

lm]u¢l]|]v-u^nnz¢npāz|b}z{u{q#}ƒn‰q3y„oz{µ ™˜elbmb¦^npq}ƒq^}Xz{q3q3mbs]nu…|]€Pmbšz{q^oÅ|bÄ<}x^u q3~pv-q¢lP«#m]mbnq }ƒ˜eq^z{q^q3}sbu…˜]q^nc™3mb|bšl]oÅy„˜]Ä?q v-lb mb lev-©ƒÄ]v z¢u^}b lbh n3ā¼ |bz{z{q)q q^~„µ  

 








–]mb˜bnc€y„© xX y„nn‰´/y„z{zx3©^¢nu^zc}b–8lsb´?©ƒÄ]t|]q^z{tpq q/ ˜]q3 }ƒu{ ˜]™^m]q^ tqv-l l]mbl]v-© vwuh   y— ˜]yl° mb lP–] ˜b€ăz{}q]u^ÄX}Xq^q3|]tq#nx^z…lu{–e}ƒmbq3q]tÄ3q x3yn ˜]q3}ƒ u{˜]sb™^n—m]–8šrbq{nc˜]v-q¢lb«#m]l]l]v¿v-©rbv-q^‚pš7z{q3q‰v-–8©3lbÄXm]|]u{z{}ƒq#q3x^y„š¾© rbn‰qy„~z{mex3©^u¢|bnz nmbx3l]yÈ n
«K n› –e  s]©X tp  q^lo ˜] q^} u…˜eE ™^mbšI oPv- lb+hmblµ v- ©©3v yz{™   l       hl)=+rbq^q{tØ]–8q¢u«#l]l]v-v nnpz^yÀ mbn}ƒq3z{q^s]u{€K–eq^rb©Xy„z{levwu…€ z{q3|b}u@:9cl- ;9   h '

'

0

 




         9 



 

0






9








Åq3|brb}sbu lvw€u…˜]bšx{˜b´ €bnp z^yÀ)–eh]q^®¾r]©3|ey„u^z^y„l]z^v-mbq^q3o)yz{–elŘbÄb€Hrbs]x3lyn„vw´ u… ˜]š´    l°z{yq3}ƒ|bq{}˜]u ™
©ƒ#rtpq‰]–esbmblbq m]¦^u…˜]–]lb˜]~n„}«#ulb}z ‰µÇq^}bsbn‰y„z{m]q3y„z^l/{Ä]z‰h n^h
   ƒh –em]u^}ƒqKr]sbl)‚z{qXv =

 




'

'


    4 9 










   9 

 

 



 

–]v-˜blb€ mble v-©ƒ vwu]h lÅ Äwq{˜ey„˜]©Xn—|]–enq3mbx3mbu^q3z{nn„˜]r]™3sbmbq^q]z{l]Ä`x^z{q^q3s]|bn}|bu lbn –eq3mb}nu{~v-šq¢xX« u{nnpz°z¦^m]šu^Àz{™n©ƒz{q3z{|bx^np}ƒs3q^«Ko¿–e˜enpq^mb}lbu…n3˜]h ™3mbq^tpq Q    )[-_W`U:T-V bY! `T sb bq3h¢q3ÆÁnypmbv-m]qq^uc~z{meys]u3u¢nv-|bx/lbq3m]z{vun–e˜]sbn™^l]˜]mby{n^q#hƒÄ‰r]˜]sbȍv-q q¢¦3 «#u…€n^mbāz^q|bq^©Xn‰|b¦3vœ}n—u –ex3l]v-šz{m]rb™3q¢©ƒyë }€#˜]npxq3yz{nz{x3qXv-u›vm]sbăq¢l]|b« y{z{nph…qyz{‚pv-x^z{qeq¢q « Äbv-lbnm]~pzq¢q^¦^« ¦^šsenpu…z{y« ™z{x^rbnpq/mbsbmbxXn„–8y„q3n ny„z…« m]u{ux^n›˜]s]©Xnl]y„mez…y{u µ h }u{}P?}ƒu¢q3–: $1:A   :M3 OP=)D < L :#5213 5 O 6 K<>65 9J1:+ 3= O M:  - 3= .0 143/= N 3= O #N>3 O  #N   LN 0 O 6  3




%

6O







-



O :M< 0 KO 6

  



  

|]tseu^y„u^nq3z^vw¦^yÃv-q3€)n lbx sb~pq3m]z{x3u¢qXu^|bvmbnÄ]lm]|b€lbz{n€bqx^}bx#˜bs]€bu{mbno]nz^mbqXyÃy„l€)q^´°¦3l]nz^v-mbq^npm]|bmbšnpmb}H´q–ey—}b˜b˜]s]€°©ƒu^|]ob˜eu{mlb€€mb´€)nsbo]z{npmbq^Àq^|btpnp}qmbulbrb–enpsbq3vÁq^rbtp©3~‰s]u¢yu^z{–8vwl]u¢v-v-|]ll]q^tpsb˜]q#q^l]xXv-mbu{mbnmbobq¢lm]« €°q^n‰t~py„qu{z{}bxXrb˜]ubsbțh q{µµ =Åq3|bmbšoyv-š›y„˜‚z{q3tq©ƒz{x^nps3«K–enpmbl€)y—˜]n„–e©ƒÈ l]oÅh VƒY][-Vƒac_¿Q = .0 L3 P3 1203J A :  : K0   3  021= O M3 14126 - OQ6G < L :#541?DKD O 6 K













  

†g

$    












  

ley{hÅg3g
b® šrb©ƒ}˜]q3nv-m]q¢« npyz{x^qKl)ntpqK}]s]u{obm]lbn/z{q^|]}blÅh tÖen       )    )    ^h = h }Åhemb/l  Äbmbl   mbnyq^x3r]u¢–8u^È zy ^āz{q      l     

”'˜]n„–eq^xXu{z{n˜]™^mbq 7

0

0

          

   

                       

{q ˜eŒ ©Xz{|]x3nnmbsXmb«Kq3n–enr]m]sblbq^nz{l]z{x^npq^q^sbs]n‰nv-|blbšAnrb–es]q3q^}lu{˜b~˜ešȍxXu{y„npz^zsblbz{sbnpq3q^x3sbu{n‰m]v-qK© meusbl]y{h+g‰†hbŸ/uK‚pz{q3vœsbl]y©Xm]}Xn rby„z^sbx^n„q3–8vy„z…u^x{ ˜]npm] ul)~‰u¢b–8n„u¢˜]|]npux^q3˜]olbmbŽnp©ƒobmbmb}bq3btql]nrbo sb q^+Ätps]~‰u^u¢vw–8v-u^l]mbsbq^q^oxXx^u{nmb}]lz{€ q^sby qX–ev$q3…rbh ©3!+yz{lbl]rbv-ns]š›rvE˜]q3v-ym]}ƒq¢q3« y„z^n„l µ # % !  y„q^q3z{x^npz^y„z^x^©ƒÈ zKs]u{~˜]lb|bm]š›v ~pm]u¢|bnm]l€]v ]n„˜]npx^q^oPŽ©ƒmb}bblbl


%

# %   -& )(  # %    -& )(  # %     -& )( 

 *

  *

  *

rbl]sbv-l]np|bnz)npv ´3q3 z‰ €° ¦^š  q‰ –emb©°  q^h ¦ l]©ƒmbÈÂl]vwz{u…q^˜e|b™^}]mb©°q3n›y~ m]u¢ |]nmb lbn }u^ `}ÄXrbsesbu{l ~#}ƒl½q3z{¦^q^©psb–eqXnpvzq^# rb% z{ le vw u…x3˜]y„™3n mbn š› v n ~meu¢|bnmbl]npv¿x~‰u¢–8u¢|bn  

* †{¥>+ E

%

 

0





†^†



 

     



  






el y{hÅg¢†
lbm]l]v-lb~pu^bl€P˜]lbmbnpobmbq3o)Ž©ƒmb}]blbl)m]u–eq^r]©3y„z^l]v-q3vœv-mbq¢« n‰y„z{x3n^h  sbl½‚z^q3vtl]rbnsbrb˜]q3y}XqXy„z{™)# %   ¦^©p–enpz)˜]l ™}u3yu{z^™3yÀv-m]q¢« npyz{x3u   Kh z{¦^q3©p|b–e|bnp©ƒ}ƒx^zn lƒ–e²Â}bm]s]q]}u^u{obÄ+}ƒmb|]q^l]z{ov-q]µ Ä`l)˜]}lbz{u{¦3q3}¿q|b}lbrbu^~csev-u{x^lx^nplbsb ˜]Àq] lbÄm# Kz{% sbh np ©X tp q{¦3˜]©p™3–embnlbz}ub}ÄXu3}ƒyu{q^z^z{™3q3yÃsb€ šn^ ă xKy„l ˜]©˜]lbz{nÀq3™HsbnpxHv-šq‰–embg3ăq3lo }ƒ|bq^z{tÃq–8 z{u y„qcmbt«Klbqer]ănn|bypsbz{u^rq#v-˜eq3sbq3n^npy„Ä¢À}ƒx^qXnnpy„m]}bz{lbz{™ nq^# sK~‰u¢%b–8 n u¢˜] |]n lx3¦^q^*©po †^–e¥>Žnp+•z©ƒ¦^ymb©pq^}]–ex3bnpr]lbz u¢Pl –8m]u^'nz{n—r]–8™u^lby•s]m]u…q‰y„˜]–ez^˜]mbx^n„q3n˜]m]onpmblbm qK~lK˜]tplbm]s]Àu^u{rbmb™s]npo xKu{x^z{˜]q3n v m xy— ˜ez{©X©/l|e˜]« u{lÅn^n ÄÄ y„Žz^©ƒq^mbsb}bq3bmblb©^€Ä<|bl z{q)q3t}s]u{u^}ƒmbq3lbo|bµ m]nplbmb¦^l©p€ –e™l]v-lbnp~È x^zn}]q^z{¦3q^šsb|bq3mbx qH se u{ ~m] š ny„sbq‰l]–8ynsX]«Kh u^z{qXn„y„˜]}ƒ™3q{mb˜eš™^n}b©)~pm]bu¢n|b˜]npnmbxXlu…€€ lq¢€bqXz{y„mbmbqeq3h x^šxXu{È z3yÀm]u–8u{m]mbš´¿s]u{~˜]lb|bm]q^o¿rbs]lbsbq‰–eš/Ä`‚z{qH–eqXy„z…u{z{q3|bmbqHvwu{˜]q^x3nsµ Q    )[-_W`U:T-V bY ! `! T _U`_ `T T !-)V & `T:W Z`Y #"eY ªl€Åqh y„lb´K–em]rbu^q3}Xs#q v-–]š¾˜b€¬s]u^s]ypu^yvw~s]u{u^z^¦^sbq^lbz^x3}bu{l¾˜]l|b}bl]s]y„˜]u^nobmbmbm]lbšn›´¾z^q^v-|bnp}bz{l q‰–ey›q3tx¿nqXsbv-nnÀ z{s]nmblblb|b€¬npy}ƒ~pq^u¢o#–
  * †^ † + mbq¢«Knpyz{x^qx3yn„´ l]mƒ–en}yq^x›y„z^sbq^}/y„ley„z{n‰v-š * †gµ¶†3 † +eq^¦3q^~meu¢|bl]v |]nsbnp~ $ -&       * Ä †{“ 7

%

%

%

%











v-&  mbq¢ «K np y„ z^x^ q lbmƒÄ-–euHnp}mby„nq^sexeu{Äbx^y„npq3m]q^y„z{z^x3x3nu^z^vyz{²x^©ƒÈ$ l´s]& u^ x^np m]y„ z{xX u^v ā q3 ¦^q^K~pm] u¢ |b

l]v  |bnhws]n¡~ q{$ ˜elb( |bn„ µ y„”•z^q^x^q3qz{x^‚„np˜ez^npy„v-z^nx^m]nz{*m]q^mbxq rbs]q^lb~px^q{˜e™^mbq3tq)v-mbq¢«
n‰y„z{xXu  ¦3©–8npvAq^¦^q3~m]u¢|]lbz{™)* |bns]n~  h  $   M $ (     $
      #

em u…˜]lbz^lb|bnpy}ƒq^nq^rbleyu{m]lbn}bs]u{o]mbl´z^q^|bnp} –8u^nz#y—˜en—–e©ƒÈ Ku…€Pz{nq3sbnpvwu]h VƒY][-Vƒac_f .KDO 6 6 - KO 6    . : < LK:M52143 5 OQ6 K<>6,59J146 +3 = O M:   :#126 6-= 04= O 3 9@6,5  #C - 143 6 46  0?9J6-0  6#= OP:#O 6 K146 - KO 6, 8OQ6 K<>:

3 021= O M3 141 9  L 3 3 12043 9 13 L 6 +  3 121465= 0= OP3 9
N L : #143 12045       $

 



-



A :#C .:

0

0

3 $

     0  $



9@126,+ 3= O #6Q041  3
%°Y Å_3_ bV '& d8Y  q3}u…« n‰v rbsbn„«K–enKx3yntpqmbnpq^¦¢´3q‰–8l]v-q3yz{™]h  ©Xy„z{™ $ ² « n‰y„z{x3qlbm–en}y„q3x * rbq‰–8yl]y„z{n‰vwu>„+ ÄX©p–eq3x{˜]npz{x^q3sX€bÈ u{€ ©3y„˜]q^x3l€]v½z{nq3sbnpv-š/h 



m]u¢|b lev¿sbn—n—–8–8rblbq{m]˜]y„q¢z^«#x^nl]m]v mbq^z{n/nr]sbnnpsbÀ™enpÄbmb|blbz{nq z…yu{© }ƒ q^npo)yz{y„x^l]©3ynz{znpv-š7 |bnp sbnl ~:h    z…u{}]lbn^ā|bz^q 0

–]˜b€)mbnp}Xq3z{q^s]q^tq 

0

v-¦3mbq^q{~µµ

0

  ?      


   h  q3y}ƒq{˜]™3}b© –]˜b€)x3y„n´  $  $              0

u ]– ˜b€ $¿ Äbz{q]Ä]q^|bnpx^lƒ–em]q]Ä



0

 

* †{“>+

            $ lÅÄ]y„˜]n—–8q^x3u^z{n„˜e™^mbqeÄ       rbqXy„}ƒ q{q^˜]}™3u…}b«K©#npsbv npÀz^nnrbm]nplbsbn/™Ky„–el]q3yyz{z…npu{v-z{šq3|by„mbleq3y„yz{z{n‰™]v-h š  sb* †{n„“>–e+•rbq^n„–e˜]lbq¢«#m]yl]z{vx^npāmb|bmbz{q]q!h )µ mbnp}Xq3z{q^seu…€}bseu{oµ mx^š€€#r]q{z{˜]q3m|b€b}Èubh z^yÀ¦3q^}~pu^m]}u¢|bs]l]u^x^v°npm]|by„nz{s]xXn~u $ ( v-m]q¢« npyz{x^qyz{sbq3}y„l]yz{npv-š* †gµ¶†3† +—Ä^}Xq3z{q^s]šn  

0



    $ (  0

†…ž

uK|bns]n~ntpq–8q^rbq^˜]mbnm]lbn $ $

² v-m]q¢« npyz{x^qy„z^sbq^tpl´mbnps]u{x3nm]yz{x

 $
$ (

0

$ $

(  Kz{q›y© npyz{x^©3nzmbnz^sblbx^leu…˜]™3mbq^nwmb©‰˜]™^µ r]sbq3yz{s]u{mey„z{x3q  '&  (   
 $ ( *



y„˜]l/rbsbn„–erbq{˜eq¢«l]z{™]Ą|]z{q  $

   



0

e–Ÿ sbn©ƒz^tpsbq^lb oÁx^le–]y„u…z{˜]˜]q3€ ™3sb˜]mbq^ȍq3mbyš ¦^z{š™ np´ y„ ˜]+l h q^¼ ~p m]z^ q/u¢ |]q^u^ ~nmez¢u¢Ä<|]|bu{ z{npq)z‰Ä…mbx$n#|](x3u3yy„Ä n z{z{m]l]q½q3~#y„l z^‚lÅz{ lÄ{ ´°|b z{ x^q/ n }]m]z{q^ q^s]sbv-q3© xl¾* –]sey—˜]u{˜ex^l]n—m]mb–ešE© q3+-x3mbx^u{©‰npz^˜]}bn„È ˜]z{q^™3h`semb” uq   v-q¢«#mbq#y„|bl]z¢u^z{™#y„}ƒq{˜e™K©ƒtpq‰–embqvwu…˜]q3oÅh ®  š ^ ¦ b l ] s { u € b m  n ] m p © e ˜  n ^ x 3 q n   –eqXy„z…u{z{q3|bmbqKvwu…˜]š›v r]qmbq3s]v-n^ăv-q¢«#mbq/–eq3¦^lbz^™3yÀ z{q3tq]ā|]z{q       l       –]˜b€  $$ h =+u^}P}u^}





0

0

0

0





  





 

–]˜b€ $ ( āz{q P            rbsbl)‚pz{q3v    $              |bz{q# r]nsbsbq^x3z{q^l]n3x^Äpq^|bs]z^nqc|by„lb˜]zKn—–ez{qX©3v-nz©^Äblb|b~z^‚q z{q3)² o³z{np}bq^s]sbn‰u{v-o]mš €²7€z{‚pq3z{|bqc}z{u q]Ä¢ |bhz{q©c–eq3rb©3yz{l]v-q3tqv-m]q¢« n„µ y„uz^y„x3z…uPu…˜e~pu…qK–8¦3u¢š|bz{l°™˜]llb´mbnpv-obq¢mb«#q^tpmbq)qrbrbsbsbq^qXtpy„s]z{u^q#vwr]v-nl]sbsbnp¦^q^s]xXu^u{z{mb™]lh€}ƒq^mbnp|bmbq^nK|bl]y„˜]q}bs]u^obmbl´z{q^|]n}ÅÄ vt-˜embu^q¢~p¡«KubsbĆz{¦^+—q^q3Ä3oAs]x^ušz{m]nt q3˜bnsbs]€ƒnpu^–ev-x^l]nš zme–ey„sbz{q3nx ybz…np*u{†3rbz{ † zq3+ |brbmb q{q˜] rb©ƒs] |bq3npKy„mbz^lyq z{€
Xsbmbq3}]©X}Ås]«ÄÅu{obrbm]m]sbqnnp~po7x^u^s]}bz{u^sbq^z{š|blb}]z{z{l™™ lx ´ x¿©ƒs]s]u{u{x3x3nmbm]nymbz{l]x3oÁu]Äwy rbsbl]mbynpq^lbn„~–ex3lbnpmbylbz{z^mb™¿š›v-l´œlÅh }¾ y—©ƒ˜]s]l u^x^‚mbz…npu mbly„€]l]v yz{np* †bvwg,u +K²l¾rbmbq^nx3˜]š©ƒ|bsblbq¢z{«K™ –enymbl]mey„z^u…np€Áv-l© n}bnKs]u^sbobnpmÀ€n€Åm]h lbn © p–eq^x^˜]nz^x^q^sX€bnpzq3yz…u…˜]™3mbš›vÁmbnseu{x^npm]y„z^x3u^v * †^>† +—Ä
0

0




' 








     K  



Åq3tÖ8uKrbq^z^nmbbleu…˜]™3mb©ƒÈ7}]s]u{obm]È È z{q3|b}b©v-q¢«#mbq~‰u{rbl]ypu{z{™}u{} =

  


†^­

tÃvw–eu)nPs]u^ x^n mey„z{ x)#})4u{mb>q3 mb lb

|bn‰y„ }ƒq^o°² ~pu…z¢–8u^}½u¢|bm]lu{~prbšsbnx3x3u{s]n‰v-u Kšu{nnp¦3z^u{yÀ°~pl]rby„s]m]lšn ‚pz{rbq3npvAsbnpxv-npy„mblemby„šz{n‰n3v-h-©H”•lbl]~yz{ n„µ ©ƒs]u{x3mbnm]lbo –e˜b€  ¦Xu{~pl]y„mbš´ r]nsbn‰v-nmbmbš´
)      ! !!   

  4    ) 4      4   









   

      

    

   

   h 

¦^q3~m]u¢|]l]v7sbnÀ nmblbnP‚z^q^oÁy„l]yz{npv-² š³}b|]sensbu{obnp~ m€ €  z{q3|b}u–eq^r]©3y„z^l]v-q^tpqv-mby„˜]q¢« l n‰ y„z{xX u ~~memeu¢u¢|b|b=ÅnnqembmbÄblbl]|b€oÅz{h q#rb qPv-u^š y}b©ƒz{x3z{lbšl|b¦^n‰–elby„nse}b˜eu…l°u ˜]sblm]nn mb]l]©‰n˜]rbv-nznx3˜]rbš›qq{v-˜]² l©ƒ|brbv-npqXš mby—l˜]‚p€n„z{–eq}bmbse–elbu{n„n ob˜embu{np˜] oHl z{˜eq3lb|brbÀ}bns]l™ np–]v-–e˜bq^n€Hrbm]©Xmb©py„š–ez{´?q3leā¦3v-y„mbq^z^lbtx3}qu u{v-}ƒq3q^mb¦^tpq{q^q µµ « ©ƒÈ n‰y„À z{l]xXvu}q3u^¦^mbs]q^u^mb~qXl]v|bnp
y}Xq3o ~pu…–8u¢|bl˜]lbmbnpobmbq^tpqrbsbq^tps]u^vwv-l]sbq^xXu{mbl€ x3št ˜b€ƒ–elbzy—˜en—–]µ x3š¦^s]u^z{P™    rbnpsbnpv-npmbmbš´l)rbs]l]y„x3q^lbz{™l]vœmb©‰˜]npx^šn~m]u¢|]nmbl€Åh –ez^sb˜blb€ ]qXu^y„z{z…n„u…˜]˜]™3™3mbmbq^šn3´Äz{ q x^rbnn}]s]z{npq^v-s/nlbm]~'mbšrbq{´˜]sb©ƒnp|bÀnpmblbmbz{š™/´cyl]~y„m]z{u¢n‰|bv-np-© mblb* ocg‰>“ –]+„˜]h €y—xX˜]y„lKn´sbrbnnpÀ sbnnpmbv-l]npn mbm]mbnšq{´ µ ²³‚pz{q}bs]u^obm€€)z{q^|b}u]h xsb n„‚q{–ez{˜en„q3©X˜]o|]l]lbz{z{xq^™]|bă}b}ƒxKs]n u^}ƒob u^`hmb }ƒXÈ q^”•o Ȝs]lbz{u^~q^x^|]mbmb}blblb©xX´ u…Kv ~€m]-‚pu¢š¿z{|blnpv-mb~q¢lbm]« ncu¢|]n‰bvnn„mb˜ex3lnš€x^|bq3–]l]o˜by„€Ž˜]lbx3©ƒz{ymb™›n„}b´b~pm]}bl]u¢sel|bu{v-npobmblbmblbmblbn le´ bvwz{nu…q3˜]˜]|bn™3nx3mb}#q^qo/v-lŽq¢«#sb©ƒnpmbmbÀ}bqblbq^l]z{rl™ µ z…u{}b=+levu^}Xq3q3¦^o#s]rbu^q‰~–]q3´Xv¿q‰–:~pu¢Ä…–<´3u¢q3|bz‰©€Kl* g¢x3†¢µq^gp~‰“…v-µ q¢g«%ž +—m]h šo  '#L 0212B40:'3›y„q3x^ns]Ànm]mbqmbnrbseu{}bz{l]|bnmy x^|bšnp}|]l]© y—v-˜]l]mbz{q¢n„«K˜]np™3y„mbz^q^x]o°ÄXq^z{rbq^l]|]y}bšl°x3~pu^sbnpnv-m]šl´ €Hy„x^l]x3ylƒz{–enp©vwu3u3v-y„lz{sb˜eq3lbmbmbq3nv-o]l]mb|bšnp´y}Xmbq3ntsequ{|bx^l]npm]y—˜8y„z^ux]}bhƒseŸ/u{u{obrbmbsblble´v-z{nq{sŵ Ä z…u{}ƒq^ncrbsbqXy„z{q3n/v-mbq¢« n‰y„z{x3qK}u^}/<µ¶v-nsbm]šoP}]©X¦




)      

°Ä:z{q   
 * g‰“…µ gž%—+ h



& )(
     K   ) * '    

]˜]l q¢v-«Knpnnzmblb o }b}ƒseq{˜]u{oblbmb|]lbnpy„´z^z{x3q^uc|brbnpn} s] pnpªv-n˜bm]€mb–ešq3´;yz¢ u^z{q^|] mbq‚pyz{}bq/sbq3|bv-l]m]y„˜]q^tqq rb–]sb˜bnp€ x^q3rbyÃs]´Xu{q‰}]–ez{lblbz›|b}ƒn‰q^y„˜]}blbl|b´ n‰rby„z{sbx3lq µ m]x^npu^mbmblq3€Pynm]}bu{©ƒÀ mƒ–:no)ărb® s]yq^n„À˜]n„np–embÀmbq3lboÅ´h y„qKx^sbn‰v-nm A q^˜]™^À q^tq ®•~psbšx3u² v-q3v-nm]z¢u x^q3~mbl]}bmbq{µ rbrbsXsb€]qX yv-v-q^y„q3mbtpz{qqes]Ä¢rbu|bnpz{sby›q nvw¦3–8u^q^u…}s]«Ky„u/l]n xXvwypy„u^u{nv-˜]´K™^š}bmboseš›u{v-vobqmbq3 lbz^m]´y„šnpz^x^o q^q3|bvy„np©ƒ} mbrbnpnpl rbsbnm]}ƒseq3u3y„v-v½rbrbnpmb™3}b©XÈ z{« lbz{nx3npmsmbšv-mb´Knnz{yxXq‰rbu{–s]sbu{lblex3´u{lbmb1z{z{™X:q3yÃ'#x]€L h : y' ~‰–8. u¢mb3 –812q^u¢14o#|b6 lbnp o ~6 m]q¢« u^lbnp¦^mbq^mb˜]šnon©3ªy«rbnh3À ª mbu{šm]´blblƒt–8qXnv½olx#©X‚y„z^q^q3x3vœnsbm]À u{rbnm]seyu{z{x{x^˜eq3nx3mbu^lbmbl)š¦3oš~p˜ u{z^= np0?v 9 v-'?.m]3 q^









 (*" 7 0,9 (*3.)

tq3y„sbm]lbq^z^x^v-meq3u…x#€sblƒn–eÀ n€nmby„lble€)v-~‰ru¢˜]–8nu¢}|Py„µÇ˜]v-l]npmbq‰–8nobubm]Ä8q^q‰t–eqmbq3rbtsbqq^tpl]s]~ u^m]vwu^v-lbl]¦^sbq^q^˜]xXnu{n mbs]lu^€ÅyÄbrb² sbqX‚y„z{z{q#s]u^r]mbq3ny„m]z^mbnrbšnp´Hmbmbu…q^˜bn µ †{‹

©‰l]˜]v-©ƒq3|btÀq#npv-mbmblbq¢n›« ]n‰n„y„˜]z{npxXx^uq^}o Ž–es]©ƒ©Xmbtp}]q^boÅlbÄblÅyÄ3q3rbyn—n–esbmbn‰v-npoÅn Kh u…€]y„™q^z/q‰–embq3o#}bs]u^obmbno#z^q^|b}bl#–eq^rb©Xy„z…µ |brb}npsbu¡/np–8v-u{q^np}rbmb©Xmby—y„˜ešz{n—´Pl]–ev-©34nq3z#tqlb~v- m]s] q¢ n«

~)©‰np4˜]y™…z{z…x3u^u z{Ä^q^* }ƒgpx“{q3rbµÃz{gpsbq^?ž n„sb+„–ešh]š nq^–er]©© sb–8 n—q^–ex{npnt˜e˜bq#n€bz{s]nx3u^z3q^~—yÃsX–e€€bnÈ m]˜eu{ubz/¦3Ä]q3q^}ƒtsbu{s]qX«Ku^vœmb–8lbmeu…|b€)u{np¦^mb}bq3ls]sb€]u^q3obvvmmb€ n€)q3 z{z{sq{µµ lbš]´?u^Äpz{}ƒn„q3˜ez{™^q^mbsbqXšy„n'z{l s]u{* x3gpmb?ž š½+ ymb©‰s]˜]u^Èx^nh me¼ y„z{z{x3l q3rbv¿nsblbn‰˜]v-lÅnÄbmb|bm]z^šq#n•x3v-y„šns]¦^u^©px^–embn‰qev)ām]m]u{u{~p¦3šq^x3sbu^qXz{v¿@™ z{14n31´ :rbAMnp04sb= np1 v- np9Jmbm0eµ h « ¦3u^y„n‰~z…y„l]z{u{yx3˜]q3q ™^vmbl]h šmƒn–en¹}yq^r]xKnsb¦3n‰u{v-~pnl]mby„mbm]šš´$´r]n' sbn‰'v-n mb mb š´ '  ¦^©p&–e n‰#v ,m]Mu^ ~ x3 u^ z{ ™  *  :¦^AM©p04–e= np1v  9@m]u{0]~ph)šx3u^mbz{q{™ µ lb|bnp¼mblbz{oqv-m]q¢« npyz{x^qq^rbsbn„–en„˜]€bn z  z…u{}b« n lmeu{¦^ q3 s}ƒq^ ‚p Ž/Žl]blbnm]z{q q^¦ l´Pq^tps]u{mµ 












%

'   !  ! ' !  '  











'

 



' 



'







' '





 



 

 

'











}ƒq3yq^z…z{u…q3˜]sb™3šmbncšq^n¦^}ƒseq3u{‚p~Ž/©ƒÈŽz lbbz…u{l]}Pnmbm]z{u^šA~šq^x3¦3u^s]npu{v-~p©X©ƒÈÈz ¦3m]u^n~¦3l]u^y~mbl]©ƒyÈ7mb©ƒvwÈ7u^z{vwsbu^lbz{bsb© lb] © he”•q^q3z{x^npz^y„z{x3nmbm]q 





   ! ! !  

  









  

  



 





  



y„˜]l)x^x^n‰y„z{lPx^np}bz{q3sbš q3¦^q^~pm]u¢|bnpmbmbmbšnc}u{} 







  '  '  

 '   



z{q#vwu{z^sblb|bmbq^µ x3n}bz^q^sbmbq3nrbsbq^l]~x^n„–enm]lbn  & ' ' )' (   &  ')(   ' '   ! ! ! &  ' ' ')(  & ' ' &  (  ' '    ( !! ! &  ' ' (  











   



  















 





   





 





  

 



 



















































 

























 











































































    

 



























 





























 

























 









 &   ' '  &       (   (  &  ' '  &     (  (   ! ! !  &  ' '  &      (    ( &     (  &          Q

 (  ! !!   &    (  



































†3‘











b˜ €bsbq3npyn„z^}ƒ–eyÃq{rb€˜]q{™3m]˜e}bu{q¢©¦3«q^mblesbnvqX¦XvÄ u{|b~m]lez{ny„q ¦3mbu^~‰š~u¢l]n–8yrbu^mbm]npšsbu´)npv-m]lu¢np˜]|]mblÅu…mbÄ<˜eš™^|bn/m]z{s]qu{€œu^‚x^}b}bmbx3s]š lbu^x3obu{mÄb˜]€z{n€Áq m]z{z{mbq^q]|]Äe}ƒ¦3uu^~;9l]3yÄ'mb}Xšq3´Pz{q^r]senu…sb€Án‰v-q^nrbmbsbmbn„š–e´?n„µ h            9       * †…?ž +  y„˜]lvwu{z{sbl]]u   ² mbnpq3y„q3¦^npmbm]u…€Åăz{q#©ƒs]u^x^mbnpmblbGn * †{?ž +•s]u^~sbnpÀl]v-ql











     




bs q¢y„«K˜]
   '   ² ) ¦3 u^~l]y m]²u…€n|]n/u3y„mbz{np™›¦3u^x3~nl]}byz^m]q^u…s]€u|e}ƒu^q3y„‚pz^Ž/™]Žh lbbl]nmbz{q3xbn„˜enx^q3o obrbmbnpsbnp”•onobq^z{z^q3q3lz{|bmbx }ƒq^n^–eÀ h sbn ©ƒmby—tpl]˜e©X@n lHÈ* ‚†^}bz…>­ seu+-u{q^z{obr]q^mbsb|bȍn—}È–eun˜bmbz{q^€bn|bn€bz/}]x^©~p˜bm]€byu¢nv-|bz^npnyÃmbmb€lb™3q3Àn›rbbl]z{nvl]˜]v-n~©x3m]v-q^u¢o#qX|bvnpŽmbÄ8©ƒlbz^mbn‰qv¿}bbxbl]rbnl#˜]sbnxlbx3mb~pq^]u…olb–8rbŽu{nmb©ƒq3mbv-o}]q¢}bb«s]lbm]lÅu…q µ h Ÿv-nq^m]xXmbu…š€´?}bÄbs]q^u^z‰ob˜]mlb€|e€u{È z{q^ |blb}l]uv`¦^€P©p–eq^npzzm]q3u¢rb|]sbu{n—˜]–8™^n„mb˜bq3€btz{q ™X¦3yÃu{€~p–el]sbyu ©ƒtpl]v¬h m]u^¦^q3sbq3vÁ¦Xu{~ley„mbš´rbnpsbn„µ 9  ª b ˜  € { z ^ q p t ] q … Ä b | { z 3 q ^ ¦ š ^ x  š ] €  y b m b l { z  ™ { x e ˜  l b € b m b l  n b l ‰ ~ v  n b m p n b m  l  € q^l]oymbŽš©ƒn^mbā}b©X]« lbn/lm]x^ncšr]s]sbu^n—~–el]r]vœq{˜elbu^~t„u…©ƒ€s]u^rbx^qXmby—np˜]mbn„l–e€ mblb* n/†{?ž m]+©p¦X˜eu{n~x^leš›y„v-mblš
n¦3rbu^np~sbl]npypv-u npm]mbumb~pšm]nu¢|b|]npnmbsblbnp~/nbmbn„n˜e¦Xnu{x{~„µµ 
     Q

         * †{>‹ + ”•q^q3z{x^npz^y„z^x^nm]mbq]ă~meu¢|bnmbl]nc]n„˜]npx^q^o)Ž©ƒmb}bbl]l 
































%











    $                         /     























 



   /   Ž©ƒmb}]blblÅÄ?* rbsbl 







tÚ–e´Gn›v-š¾+—ăq3u¦^q^ ~p¬m]u¢² |bl‚˜ez{l q |bx^npnpsb}bnz{~ q^s+Ä3¦3q3u^rb~l]q^y„x3šq^nxXu{~È m]u¢ |]lbno#mblbx^n˜]]ln„€b˜]mbnplbx^nq^mbo n¦Xu{~pl]y„mbš´rbnpsbnpv-m]npmb©p˜embnšx{´ µ m]uKbn˜]nx3©XÈŽ©ƒmb}b]lbÈ




    









    



mbq3x^”š´ rbmbqXv-np¦3qu{ ~pl]™^Èy„m]š‚z{´lrb´ny„s]q^npq3v-z{nmbm]q3mbÀšn´m]lb
oHrbq^˜]©ƒ|]u{n‰v¬©Xy—˜]q3x^l€m]uPx3q^~pv-q¢«#mbšoHx^š¦^q3s aVXU  VXU:T-V
`V wVXd8YeW  ?U  :T`T   / ½l˜] l †{ 



/












Y "?[`_bU`VXU`T`VU-VƒY [`T `_ bV eU-Y'& T¾Z-V3[-VƒaV3U`U "





       















* †3‘M+



^x¦^¼ npšz{}b˜8l¾z{uq3©Xs]¦^y—uGš ˜]q3mbx^nlrb€h?qXƍy„rbsb–esbn„npn—–8u{–8˜]y„q3z^™^y„x^m]z…nq#u^m]x{¦^mb˜bšq€b˜]ȍsbq npzÀx3–ešnpq^mbx3lbx^q{npš˜]v ¦3™3s]mb~pu{u…q°z{–8™¦3u¢|bq{n˜]lÅt™3qÄXÀq‰z¢–e©ƒu^m]È}Åu^Ä8}Xy„|bqex3z{Ä3q^q‚p¦^z{q‰¦3q]–8š ă©¿}ƒy—q^x˜]m]n„nx^–e|bš©ƒmbȦ3qeq^ KÄ3sbm]u…n)n€rbmbz{sbq3q3qXx^|bq^y„}z{tpqqu l q^Ž/‚pz{u^q3}bv-z{lb© |bmbn‰ny„q3}b¦¢lœ´3q‰‚–e}bl]x3vlbx3mbu{n˜]}ƒnq3m]z{z{q^mbsbqšosbnp}ƒÀq3v-npmbr]lbsbÈ q3v-l]l]yÃyw´3v-q‰–en«Km]q^–eo½©rbr]sbsbq3q3¦^yn„z{˜eq^npz{v-q3oš x^š* g¢¦^† q3+ s]*u g‰x^“>np+ }bz{* gpq^ž?se+„u h Ž©ƒmb®l}b´Xbnpq‰l]t–eql n * v-:hx^mbšq^¦3tpq^q^|bsbleqXy—v"˜]np+›mb‚‰mbŽ/šŽonx^}bšz{|bl]lex^mby—˜]qXlby„z{z^™3n„Ș]™3Ä]mbz¢šh n^´h?‚py„}ƒz^ynrbrbnnps]mbl]™^Èv-n©mbv-z^q^nx›mb™3y-Àz{š›nm]yÃl€b€|]u3bv-n„l/˜enrbx^s]q3u^o }bz…µ ˜blb€b|bnpn‰z^y„}byÀPlb´y„˜]ln—–ez{©ƒn‰y„ È z{ q3x^u…š€)´y„z{~‰seu¢–8u{z{u¢np|)tlx3€)š€]x^y„šmb¦3lq^˜es]q3u y„™embāq^|bx3z{q^qtpq x3x3rbnq{}b˜ez{mbq3ns]©u –8q^x{˜e
nz{x3q^sblbz^n„˜]™3mbq^oP€bx{µ g3hl]® nšmb¦3z s] u{z{™Kl]z{v-© nnp}ƒz qXv-v-rblbq^mbmbl]npvwmbu{z{˜]© ™^m]q^nÄX–e~m]˜bu¢€|]}ƒnq^mbz^lbq^n sb
q3oy„q3q^z{x3nz^yz{x^©ƒ È lbo}Xq3‚pŽ/Žlbbµ 















E'  '   ' µ q3o°}ƒq3v-m]q^mbnpmbz{nG  







†bh ˜e ™^y—mb˜]q3l nc ~p' m]u¢|bz^npqmblbrbn/sblƒrb–<sbu{l)z{™}ƒq^ z^q^sbqXv¿x3ynn n/x3šrbq{˜emvw€bÈu{}z^y„yÃle€Pvw©3u…y„˜]˜]™3q^mbx3q^ln€rbmbq^np˜]q^q¢z{«#sbl]lb]z{u…n„µµ z^n„˜]™3mbq3yz{l)~m]u¢|bnpmblbn¦3u^~l]ymbš´ rbnpsbnpv-npmbmbš/´  h sb npnz{s]™x^š}XqXÀKv-rbu{q^t/m]‚pnz{mbq^z{tpš7q#rbx^npsb}bq^z{]q3nps]yypu uKq^|bnpmb™#rbsbqXy„zK²³mbnq3¦¢´3q‰–elev-q xXy„ntpqK˜]lbÀ™#r]sbq3ypv-q^z…µ 







    






l)x^š® ¦3qs]x3u{sbz{™npv`v-€Álbmbx^lez^q^vwsbu…q3˜]t™3qmb©ƒÀ Èu{h t„u°x3yn)}XqXv-rbq^m]nmbz{š x3ynP}ƒqXv-rbq^mbnpmbz{š qXy„z…u{ȍz^yÀ mb©‰˜]npx^š›v-lÅÄb~‰uKl]y„}˜eÈ |bnpmblbnpv ›µÇq^o+āz‰h n^hex^np}bz{q^s rbsblbq3¦^sbnpz¢u^nzKx^lƒ– 










hh






 

 





 

  




    


 

 



hh





 












 



     






svwu{z^q3sblblb~bx3š/n—–eÄbnp}ƒmbq3lbz{nq^vwsbšu^z{o)sblbv-]š7š q^¦^q3~ m] u¢|]l]m]v u |bnpsbn~rbs]lÄ©‚pv-z{q3mbv q¢« s]npu{mbx3mbmbqXq v- © m]µ qXu v- ©
y„z{q^˜]¦^]©#‚z{q3o b 













  







†{ 

 

l)©3y„˜]q^x3lbn * 3† ‘ +'r]sbnx3s]u Ku{nz3yÀx

  






s]l˜eu^q3z{uy™
}ƒq{˜]}™3u{}b}P©©v-v-q¢«#npmbmb™^q À ¦3nq{mb˜]lb™3n Àbl]n˜]vnhbx3” q^–eo nŽ˜eu{©ƒz{mb™K}]b‚lbz^qKlv-r]sbq¢q^«#rbmbq3qKsbbylbr]q3q3m]v-u…q˜e ™^mb™^q ÈAÅrbąsbs]q3u^y~z{©q^v-tpmbqqrbx^sešu{x{¦{µµ g3hz^Æn„~#˜]™3xXmby„šn´H´
}ƒq3v-rbq3mbnmbz  )   K 

x3š¦^lbseu{nz3yÀ°v-mbq¢« n‰y„z{x3q)rbq{˜]q¢«#lµ 



 &  (  
     K  *

†bh  y—˜]l mbnprb©3yz{q]āz{q#meu…´3q‰–8lbz^yÀ


 E        

¼z^mbz^q^q À  n
mbl²’€ * vw†Xu{‘M}+„h yl]vwu…˜]™3mbq^n3Ä }ƒq^z{q3sbq^nv-q¢«#mbq¿ x^š¦3s]u{z^™]Ä'm]nHm]u^sb©ƒÀ u…€¬yq^q{µ  y„˜]l rb©3yz{/q *:z¢h n3hx3yn }ƒq3v-rbq3mbnm]z{š   +—ăz{q Pv-q¢«m]q x3š¦^s]u^z{™y„}ƒq^˜]™©ƒt„µ q‰y„}ƒ–eq^mb˜]q ™ ¦^©ƒq^tp˜]q‰™^–eÀ mbl]qv½vwlÅu…˜]āy—š›˜]vn„–eÄbq^m]xXn/u{m]z{u{nsb˜]©ƒ™^ÀKm]q]u…Ä^€~pm]q3u¢t|bs]npu^mbmblblbn|bnp]mbn„lb˜]oÅnpx^h q^* oPgp“?Ž+ ©ƒ* mbg}bž%+—bh lblv-q¢«m]qKy –en˜eu{z^™ tx3seynu^tp=+vwq u^v-}ƒ‚plbz{u{sbq#€Kq3x3x^ylbšu^mbz{~p©3lx3u^€/u{bm]llq/€rb–esbmen‰q3u{Ž¦{~˜]nš}bn‰xXvwz…u{u^Ju npv-z^* l)yÃg¢€ † rb+ 14qX*y„3 z…6g‰u{ >“ L m]+ *:#q^14x^gp0 }]?ž  l+83 rb~p14u…sb12–8l6#u¢= ‚|bO z{lPqXv)l˜]mbxcl)n'~pq^l]u…À v-–8u¢nplbn|b¦^z›n•}s]u3˜]nv-lbÀmblnpnprbobmbsbmbllq3€Åth¢r]qc·/q‰rb–eu sbt q{q^n µµ z{q3x^}ƒ nsb–8l u{ mbm] š´<
/h mbq^x3šo x^np}bz{q3s¦3u^~l]ymbš´rbnsbn‰v-nmbm]š´<āq3rbsbn„–en„˜b€bn‰v-šorbqKŽq^sµ v-©‰˜]n * †^‹>+•q^¦¢€b~‰u{z{n˜]™^m]q¦^©p–enpz#y„q‰–enps3«u{z{™Km]u XµÇq3vœv-npyz{n








     
        




Žq3©ƒymb}ƒ}bq{b˜]l]™3lP}b©yz{–]sb˜bq^€ tpqm]n©ƒx^v-šnps]mbq¢™^« À –8lbnz{mb™Xq3yÀtqc
¦3u{~pl]yu 
 …Ä z{qrbsbl‚z^q3v~pm]u¢|bnpmblbnbn„˜enx^q3o 




  -







brrb=+npnpu^sbsb}npnp}v-v-u{npnp} mbmbmbm]q‰šu…–e€!m]´Ku °ylbz…x^~•u…š˜e¦XucÀu{~prb˜el]q^uPy„˜]mblbq¢š«#~#´/lb¦3rbz{u^npn„~sb˜el]np™^ypv-ubmbÄÅq3npmboÅuPmbÄ{rbšz{nq´s]Ž/npq3v-¦^u^s]n}bm]uz{ m]lbu…|bu{€ n‰npy„z^ }byÃl€/xrbx^s]q3q^Àąlbu›˜e~puq‰q^–eÀxm]˜8u ¦3ucu^lbyp~~ v-l]mby^nnhm]¦Xu u{~¦Xq{le˜]u{y„~p©ƒmbl]|bšyl]u´x
mbq3x^j/šno tp¦X}Xu{q ~lerbyq^mv-€bq¢z^«#™]mbÄ qK|bz{rbq ns]xœnpy„~p|]u…lb–8z…u¢u{|bz{n™K˜]x^npl]}bmbz{nq^obs]m]š q^tq  rb sbq^ tp,s] u^vwlv-r]l]q^sbx^x3z^u^q^mbsbllb€ z^™ v-rbq¢« s]q^npbz¿n„–e¦^©ƒšsbz^©^™ h ˜]sblbq3tÀ q^™n©}ƒv-q^m]nm]n|b™^mbÀq3npnmb|blbl]n›y„]˜]n„q˜]np¦Xx^u{q^~pol]y„Žq3©ƒx]mbh }b bqXl]y„lÅ}ƒÄ^q{rb˜]qX™3y„}bz{©s]meq^nu m]}mbu…š«Kn–ez…qXu{vÁ}bl]‚vz…u{q3rb¦^n s]u^rb~sbq3q3vHl]yæ3´3u^q‰~–el]l]yz šœy„mbz…n µ v-?u^q^}Xtp©ƒq3z/mb|brblbq^z^x3™3z{yÃq^€ sX€bq^z{m ™XyÃv-€Kq¢lÅ« ăny—z˜en—˜]–elbq3¦^x3qu{z^m]n„uH˜]™3À mbu{q]tpąnrbs]rbq^q3bl]n‰y„y}yuHs]rbu^nmbsbqn‰v-l˜enmbl m]rbq^q^o~„–emb' q/Ä-~‰u{x{}ƒ´3q^q‰mb–e|]€lb z{n™3o yÀÅx h ¦3u^~l]y^ÄX˜]lb¦^qm]uÀKu{tpnx3x^q‰–8u nnx¦3u^~l]y^h “^¥










mbv-q3rb|bq3® z{mbl)z{nq^mb~psbz^u…q3šŠ–8ou¢x3|by—nlŘe}b©Xh z{|e q3u{s]sboÅunpÄX}b} s]u{u} mbv-nnm]š¾q3lbz{©Xnsb« lbr]ensbu{q^s]z{bu^nn‰yp˜]yy™^ypvwmbu u^š/mez{h sbulbrbxXsbnu…sbl½˜]x3lłq3z{ăv qXy„q3vÀ q^ÄÅu{z{}tpx3u{nn}bz^q^lby~z{n#mex^u¢¦3©3|]šEnu{z/np~pmbz‰m]ănpu¢q^|b|btpz^ns]q#m]u{lx3mb€Hy„l]n|b–e}ƒn˜bmq{€ µµ  y„mbqeÄ]|bz{qz{q{µ b m  n 3 x  š ^ ¦ b l e s … u ] ˜ Å l e Ä b  „ n e ˜  n 3 x { u ) €  Ž ƒ © b m ] } b   l  € ^ ¦ p © e – ƒ © z ^ z { q ] ˜ 3 ™ X } # q 3 x ^ q p ~ ] s ^ u  y ¢ z ^ u { z ] ™ h

tÃ~p–8u…–8uu¢rb|bq^l ˜]©ƒ* g‰|b†>n+ m]*mbšgp“?o)+ *¦3u{g~pž%l]+—ych €bx{˜]€bnz^yÀ)q^rbz^l]vwu…˜]™3mbš›vÄeu z{q^|b}u    ² sbnÀ nmblbn‰v 









 ,7  7"$ (*3$ 

{©®½€)}y„u¢l]|bv-npyrbz{˜]x^nn }rby—µ¶sbv-lenv-z^nq‰s]–)ucs]sbu3npyÀypv-nm]q^z{lsb€le~pv u…–8rbu¢s]|bq^l¦{˜e˜]nplbv-mb©npobm]mbu{q^´3tpq¢q«Kr]–esbnpq^mbtpls]€u^vwv-lbs]q^x3u^mbl€l]yrbq{˜e™^~„µ * †{> + E     4 rbsbl)©Xy—˜]q3x^l€´    M4  * †{>  +    >4  l)©3y„˜]q^x3lblmbnpq^z{s]lb]u{z^n„˜]™3mbq3yz{l











'







   K2 

®¾‚pz{q^o)~pu…–8u¢|bncmbnz^sb©p–embq#q^r]sbn—–en˜]lbz{™#meu¢|]u…˜]™3mbšo¦Xu{~pl]y
     

 #)4 



y„q~pm]u¢|bnm]l€]v-l      4 

©ƒ® Èy„ q^q3lz{´x^npÀ z^u^y„tz^q3x^x]lbhl yq3rbl]ypu{mblbn‰v½y„l]v-r˜en}y v-npz{q‰–8u/nptqlbz^ns]u^blblyq3y„z^q¢€bz/lb~ y—˜en—–]µ l)mbbnVX¦X[`u{ _ ~p :l]T y„mb°šQ nc rbq‰®½–8vwy„q^u^q3z{z{sbx^lbnp]z^šAy„z^l)x^lbll´y'r]x^sbšq^|blbl]~px^y„q‰˜]–elbm]z{šn˜]n ™^
m]q^oyôXnpv-q^ox3š –en„˜]lev)¦3u{~pl]y„m]šn 
















    






   










  

 

 



   

 

 







  



e–·q3z{rbq3ªq{¦^˜]˜bš½m]€lbrb©ƒz{q‰rb–en„˜es]|b™^qnpmbsb q}bnpmbmbrb©ƒlsbz{€qX™y„¦3z…y„©pq^u{–eq3x3npz{lv x^˜]n‰lrby„sbz{rbx3n—n–








      

     





® n}bz^q^s)v-q‰–el]Žlbbl]sbq^xXu{mbq3orbs]u^x^q3o|]u3y„z{l 

 

   

        







“bg












 





rbsbn„–en„˜]€bnpv¿r]nsbn‰v-©Xm]mb©ƒÈÄ]x^´3q‰–]€ ©ƒÈ x#¦3u^~l]y


'   
 )' E ( 
     z¢xh n3¦3hu^m]~l]uKy^m]heu¢”•|]q^u{q^˜]z^™^x^mbnq3z3o y„z{lbx3z{©XnpÈ s]u{ ]lblbo)ly„¦3z^©pq{–e˜]n¦3zKn)q^rbvws]u{n—z{–esbnl]˜]bnm]š uK rbnpsb np v-npmb¦3m]©u{–8€-nzs]āu{}x3u{n}m x^´3q‰–]€ Ku…€ 

   )  
   
























 







 







 







]m·u^z{obq z{l }u^ypu{npz^yÀœx3š´3q‰–]€ no rb n sbn‰v-nmbm]q^oÅĕz{q½–]˜b€¾npnq^rbsbn„–en„˜enmbl€¾mbnpq^¦¢´Xq‰–el]v-q 

 E (     E 

 






 * 


&








]lyplbu m] r]l]q‰nv-–esb©x^n‰vœq‰v-–en–e€ mbq3mblbyq3z{z{o)q3lbtt„¦^lÅu{©pÄXnp–ez^v-nyÃzq¢€«#rbm]mbnpu sbqx3r]y„u{n}€sbu{x3~‰rbq3u{npz{v sb™enp|bÄ{v-|bl]npz{y„mb˜]qm]n^u…mbÄ<€)q^y—x3˜]¦3š›n„u^–ev°~q^l]¦XxXypu{ubu{~pz{āl]nuK˜]y„qXl]™^vv-m]q]Ä{nm]rbÄbmbq{x3˜ešq©X´3² |]q‰n–]mb€ mb h š›nvo)m]lbu~g¦Xµ u{q3~„o µ lbz{nps]u{]lbl)¦^©p–enz  )4    M   y„q~pm]u¢|bnm]l€]v-l         

x#”'˜]y„n„l–e˜e©^rb©npsbz/y„n„q3–eq^q^n„¦^z{˜]sembl]u{q3xKz{Àlbm]npz^q^mb™x^lšx^€ mboPle* †3¦3vw‘ u^u{+—~mbhl]lby^n Äbv-m]u/q¢«#lb~‰mbv-qnrbmbsblbl]x3yÀz{np©ƒnprbyÃlb€z{~™#m]}u¢|by—np˜embn—lb–en ©ƒÈ ²Eno)‚pz{lbqz{nprbs]s]u{q^]lblb~plÅq^h À˜eq –enb˜]VXl][`vœ _ mb :q^T x3Ašncf ¦Xu{~pª l]u{y„mb˜]š™^mbncnpl)obÀmbl]n¦Xn/u{x^~pšl]y„|bmbl]šy„˜]ncnrbm]q‰l–8€vwrbu^sbz{sbq3x^lbq‰]–]šA€bz^l)yÀ)l´rbqr]sbz^q^q^lbo~px^«Kq‰n –em]yÚ´3n‰n v-
n^h8®•šµ 


















  



  






4





 

  









 

   

 




 



  

   



   

   




4

  











   



   

  

^xAnpu{mb~pmbl]q y„m]u{€*   + lPmbn¦Xu{~ley„mbš nG *   +  |]u3 y„ z{lP bn˜] nx3 q^ o) Ž ©X m] }bblblPs]u{x3mbšAyq^q3z{x^npz^y„z…µ tÖenª rbu…q3˜]s3€ƒnpn–8q^x^}Pš|brbl]nsby„˜bn‰€bv-npnv°mbm]x^šnp}b´Pz{y„q3q3sq^z{v-x3q‰n–8z^l]yŽz{x^lb©3bnlbz s]rbq^q^x3sXu^€ƒmb–eš}´u^y„vœz^q^y„l]z{q^v-˜]qX¦^y„]z{q^npoKx –] ˜b¾€l mbn ¦Xu{~h ley„mbš´ rbnpsbnpv-npmbmbš´























        K 
      





“3†

 

   

4





   





l)q^rbs]n—–en˜b€bnpv rbnsbn‰v-©ƒmbmb©ƒÈÄbx^´3q‰–]€ ©ƒÈAx¦3u^~l]y


  2 E)' (   '     z¢h n3h”•m]uq^q3‚pz{z{x^q^npoz^lby„z{z^x3n©ƒs]Èu^b lbl]l/o¦^©py–ez{npq{z˜eq^¦^rbns]n—–evwnu{˜]z^nsbm]lbubr]š nsb n‰v-n mb m]u{€ s]u^ x^Än}ƒm u^}x{´3 q‰–e € u… €x  ¦3 u{~prbl]s]y{l h x^np}bz{q3sbnv-q‰–el]Žl]blbsbq3x3u{m]q^oPrbs]u{x3q^o)|]u3y„z{l        h  qXy„}ƒ q{˜]™3}b©x3n}bz^q^s y„q{µ  









–e¦3u^nps3~l]«#yplbuzq3xXrby„sbnn„tp–eqn„q‰˜b–e€blbnpz^mKyÃmb€nq‰q3–8z{mbsbq^lb~p]m]u^u¢z{|bn„mb˜eqe™^mbÄXš}u^o#}}ƒx3q3z{v-q^r]s]q^u{mb€npmbrbz¢npÄ{sbrbnpv-ns]npnpmbv-m]nu…m]€)m]¦3u…u^€Å~ąl]x3ypšub´3ăq‰z¢–]h n3€h Ku…3h€lb~ rbq^˜] ©ƒ|bq‰n–embx^m]q‰š›–e€ v¿lbm]z^uq^‚ptz{l q^oPx^z{lbq3z{sbnpq^s]o¾u{blbl]z^lns]¦^u^©pb–elbnlÅz Äv-q¢«#mbq y}ƒu^~pu^z{™]ĕ|bz{q m]q^x^š›v ¦Xu{~ley„q3vÄ              *+mb©‰˜]nx3š›v-l-+w¦^©p–e©ƒzyq^q^z^x^nz3y„z{x3nmbmbq/r]nsbn‰v-nmbmbšn

  )  h Ÿ n¦Xu{~pl]y„mbš›v-l –8mbq3u¢b|bx^VXšl+[`h nc_ ¦3 :u{y„Tmb~pl]q3y„x^m]šš x3ncu{€]Ÿ/l)y„u)™ mbnp‚pme¦3z{uu^q^~o¿¦Xl]u{yl]~mblez{šny„s]n^nÄ?u^r]br]q‰lbq{–8l˜]vw©ƒ¦3u{|b©z{np–8s]mbnlbmbzbq3š7v¬rbq^lPm]˜]uP©ƒlb|b´rbnsbm]rbn—qsb–8q3š y„lbq^–e~¦X©x3y„ q‰z{–ex3npmbnvAšmbm]À n q
u^tsbn3nÄ8À x3nš mb–elbn„n˜e~pl]u…v µ 







 

  

 

 



 

 

   





 






 

  





    










  



     





 





   





® n}bz^q^s)v-q‰–el]Žlbbl]sbq^xXu{mbq3orbs]u^x^q3o|]u3y„z{l 



                 ! 

   x^Anpu{mb~pmbl]q y„m]u{€*   + lPmbn¦Xu{~ley„mbš nG *   +
 |] u3y„z{ lPb n˜]nx3q^o)
Ž
©X m] }bblblPs]u{x3mbšAyq^q3z{x^npz^y„z…µ tÖenrbq3sX€ƒ–eq^}#rbnpsbnpv-npmbmbš´z…u{}«Kn y„q3q^z{x3nz^yz{x^©3nzrbq^sX€ƒ–e}u3v°yz{q{˜]¦3bq^x   l  h 



































 



















rbnpsb ª npv-u…np˜]mbnpmbnšx^´š
|bl]y„˜b€bnpv°x^np}bz{q3sv-q‰–8l]Žlbblbs]q^x3u^mbš´y„z^q^l]v-qXy„z{npoK–]˜b€mbn¦Xu{~ley„mbš´ 

                  

         

m]®Eu{€yq^q3* z{x^,+„nphz^y„”•z{q^x3q^lbz^l x^ny#z3‚y„z^z{l]x3©Xv7È x ¦3lbu{o7~pl]y„y z{q^–e˜]q^¦^˜bnp«#Am]vwu)u^x^z{q3sboblbz{bl½š rbns] x3 u… €½mbnp ¦3u{~p l]y„me u…€°s]u^r]x^nnpsbm n‰v- nm µ

        rbsblx^np}bz{q3sbnv-q‰–el]Žlbbl]sbq^xXu{mbq3orbs]u^x^q3o|]u3y„z{l     K  h  q3y„}ƒq^µ 















˜]m]™3u{€Å}b©)ĉx3x^šn´3}]q‰z{–]q^€s K u…€y„q‰lb–e~ nps3¦3«#u^~lbl]zypu x3q3y„nprbtsbqn„–eq‰n„–e˜blb€bmnpz^mbyÃnp€q^z{q‰s]–elbm]]q^~u{mez^n„u¢˜]|b™3mbmbq]šĉ}oHu{} }ƒq3rbv-nr]sbq^xXmbu…€npmbr]z¢nÄ8sbr]n‰nv-sbnn‰mbv-m]nu{m€ µ ¦3u^~l]ypubăz¢h n3h  h “^“

  

8:9<; =>? @BAC






   67 13254 - ./ 0  




  !"$#%&('*),+

ley{hÅg‰“
 sbq3bnpypy sbnpÀnpmbl€)z{npyz{q^x3q^oP~pu¢–
       
)  


  *+mb©‰˜]nx3š›v-l-+w¦^©p–e©ƒzyq^q^z^x^nz3y„z{x3nmbmbq/r]nsbn‰v-nmbmbšn

Ÿ n¦XŸ/u{~pul]‚y„z{mbqXš›v½v-Ž/l u{}bz{l]|bnpy}blrbsbq^]npyyq3rbz{l]v-l]~pu{]lbl#~pu^}ƒu^mb|blbxXu{npz^yÀÅh =+u{}  «

n^Ä^#}ƒ)u^} l h s]mbnpu^¦^mbnn~pn3l]ÄÅy„rbm]q‰š–8´y|brblbnpz{sbšnpxXv-u{npnpmbv mbš–]´˜]€½rbq{©ƒ˜e}©Xu{|e~‰u{u{npmbv m]q^ tq)¦Xu{~ ley u)2 v- q‰–e l]Ž lb]h lb=:sbu{q^}xXu{}mbu{š}n v-yq‰z{–8q^l]leŽv-q3lby„bz^ll µ sbq3x3Ÿ/u{m]ušsbncl]yy^z{h]q^g^l]h‡­v-rbqXy„sbz{q3l)bnprbypq^y˜]sbq¢n«#À lbnz{mbnl˜]€#™^mbz{š/n‰y„āz{z^q3q#x^q3rboKq{˜]~‰u¢©ƒ–8|bu¢np|]mblKmbq3ynl]v-sbnprÀ˜]npnp}ƒmby„lbµÇn/v-q^npz{r]q‰z{–el]qXvwv°u…˜er]™^q^mb}qeu{h ~‰u{m tx3seu°u^~pŽu…lb–8|bu¢n‰|by„l }bl+* †{hƒ Ÿ/†u ^ >‚+/z^q3mev¿u°s]rbl]˜]y„q3©ƒymb}X}ƒqXny„z{lb™~q3rb¦^nps]sbu{np« v-npnpmbm]mbušrb´ s]q^ n}] bl€   –8h q^Ærb©Xz^ny„s]z{l]u^v-blbq3lÁtqy„v-l]mbv-q¢r« ˜enn‰}y„z…y—µµ |bq^v-r]}ƒnz{nz^l]q‰–e–8v-q3u ©rbv8lb©3~py* q^z{z{l]¦3q^s]v-|]u…q3}ƒ«Ktu qn mbv-šmb q¢} «K+„u{h }Hnpy„rbz^x3q3u)y„˜]}n—–e–eq3sbx3©ƒu^tpz{q^n„oŘ]™3ÄÅmb–ešqnz{rbn´npsbrbn„´Xq3sÅq‰–eÄ+šr]q^q^}zuq‰mb–en mbq^¦3oHš˜½}bs]–eu{q3o]ymbz{nlbo°tpmbz{©ƒq{z µ







“{ž





q‰x^–enpsbmbŸ/À© u½l]lbmb~‚š z{rbqXsbv-v q3mb¦{q¢rb˜]«Ksbn‰l]npvEv-y„z…npy„u]sbleÄ:nv-xrl¾˜]z{nnq½}tpqy„x^µÇsbv-tn‰s]npv`z{u3€ q‰Ž–8}lbubu{|]h•}œy®³nlb}ƒq^~‚oÁz^meq3u¢lvŠ|]˜bu…˜erb˜]ȍsb™3l]y„mbv-z^q^s]npo sbu{bnz{l]q^rbl¬|bsb}]lbv-l Àq¢« ˜]q3m] yq ™½ q^q^xz^¦^v-q^q3nprbobz{z^z{lbl]lz{v-™œM©=v l 3 lbx^v-z^z{q¢q^np«#s]s]mbu{u{q]€lb¦^rblšnpsb˜]x3npx^qcv-np¦^ynpšœz{mblm]rbu…xKq^€Pre¦3u^m]u^y„u~z^l]™crby np~‰mbsbu ncx^q‰q3rb–8onlbsblbmx3z^©ƒÀ nÈAs]u{u^t rbb ¢nplbªsbl)np˜bv-l]€Kv-npmb‚n„z{mb˜8q3©ƒu tÈqz…u^–e}qX « y„āz…un/u{x3q3z{z{z{q3q^sb|bsblbmb©ƒ]qcÈAu^¦^z{š²n„˜e˜]™^qmb m]©ƒhucÈ ¡/rbyv-npz¢sbq‰u^x^–ez{q3llÅo µ Ä ŽŽlb©ƒmbb}bl]bsbl]q^xXlu{z¢mbu^©ƒ}ÈA« ynz{~pq^u{lex3v-n—q3–ey„qXz^v-™Kq#l)mby—n˜em]n—–eu^sbq3x3©ƒu{À z^u{n„˜e˜]u^™3ymb™]q]h ăv-–eq^mbmeq3u{z{}ƒq^q#m]rbmbsbq3qXyy„z{z{™ np©ƒob¦3Àšlbx3oHu{m]}blsb€ lbz{bnpn„sb˜elbnox^q3² o x^m]šu3y¦3q^x3s)x^n‰rby„npz{sblPnpxv-np¦3mbu{mb~pq^l]o°y y…v-Ä]lbumb–8l]u…vw˜]u{np˜]n™^x3m]y„q^noH¦3v-šq‰˜]–eqleq‰Ž–elbmbbq^lb~psbm]q3u¢x3|bu^mbmbqeq^h oy„z^q^l]v-qXy„z{™3È ~pu3y„z…u{x3l˜ q‰x^–ex3q‰n˜e–8Ÿ/u{u°u#mbrbqm]nu¢v-sb|]n‰mbu{v-q^˜]ntp™^mbq m]m]šx^ššo´œ|b‚lez…x y—u{˜]¦3r]lbu^u{z^~´l]n„˜]s]y^™3u^Äwmb~}ƒx3šq^lbz{´z{q3l‚sb€}šy„˜]n)rbl]nprbmbsbsbnl]nobv-rbm]np€bq^mbz^tz{y„qq^z{xx3rbq^sbrbxXq^qu…tp˜]s]r]lÁu^q^vwl]rbyv-q‰}bl]–e©)sbq3q^z¢¦^xXu^mbu{}bš›mblv l´€)˜]y„¦^z^q^šs]x3©ƒu{˜ez{Àq np}trbu^lbsvo µ mbz{sbnp‚pr]Ž/sbl]Žv-nn}]s]z{š/lbx^Ä{m]~pu3q3y„y„z…z^u{lÅx^h ˜b€b–8Èm] u{}ƒnq]n^Ä¢Ä^u{–]me˜bu…€P˜]¦^q3q^tlb˜]|b™^À m]q lbx^m]šy„z^À x3nurbys]z{lbs]x^u{n„z^–enntmbl]qXov-¦3©^šÄ¢q^˜]¦¢l´Xq‰m]–eu^lboƒz{–e™npmbx3š¬yn•}ƒlq^˜eml µ ¦^z{npq^t˜]lb™^lKÀ mb©ƒnȾ¦^|]šu^˜eyq›z{™–eq3}b}s]u{u^~pobu^mbmblq]´ĉ|bz{z{q3q/|bnq3}m]u–8q^z¢rbu^©X}by„lz{´l]r]v-sbq3l]tqv-nv-s]mbq^q¢x«Kmbnpnyz{l]x3v-u]nh3npŸz¢h^lK®–]y„˜bn€ ‚z{q‰q–8rbmbq3q^sbo#q‰y„–ez^ls]˜eu…q µ rbnz3q‰yÖe€ q3~sb<>np=mb'4l6€Å14Äb3 14|]B2z{q0: ~p.u… –814u¢6 |]u = .˜]6,lb+8m]n14ob6mb5Hq3tl)q#‚rbz{qs]q^y„tq3sev-u^m]vwnv-mblblbsbn/q3sex3u^u^y„mbnl€€)˜]q3m]yu#™yz{u3q{v-˜]q3™3v }ƒq#–en„x#˜erbn/q3€by„x{˜]˜bn—–]€µµ mblbn/·tpz{q‰q–eš }u^yypu{lbn~pz3q^yæ3€sbnyz{u3npv-mbq^lbtpn‰q)v yv-l]nv-z^rq‰˜]–enpq^}xey—āµ¶q3v-y„nm]z{q^q‰x3–8u^u]mbÄ?mbz{šq´ ntpm]quKy„}q3u¢x^|bsbn‰n‰y„v-z{x3nnmbmbmbmbšqKnlbrbmbs]šq^´Ptselƒu^–evwnv-€m´<µ h š¡/nu{}sbn‰v-u…q¢˜]«#lbmb~‰u{qbx^l]llŖeąn}ƒz{q^™mbl]np~ |bmbrbq]sblbÄ^m]x3n—u^–ev-npmbmbq3q^ttpq/qy—rb˜esbq¢l]«v-m]npns]n^ubąĄ|]q3nprbvnsez{u{q]bÄ^lb|bl/z{qyl]v-v-š r˜]rbnpsb}ƒq‰y„–eµÇnv-˜enpu…z{˜]q‰l–8ux3šyq3Ày„z{n^µ h q¢©€v-˜]mblÁq¢« lbnp~mblbq3¦^oÅs]h uH u{np}mby„ll]€ vwu{vw˜]u^™^z{mesbu…lb€ +z{Ä sbvw©pu^–ez{q3sbnplbv-|b}ƒm]q3q{yµ¶z{vw™u{z…z{u{sb}bl]l|b´mbšq^rb´¾nps]l¬u{bvwl]u{oPz{s]ylbq3|by„z…mbu^q^x{µ x3˜bn€b}bnpz{zq3rbsbq3mbs3š€´ µ –eq¢« }u npmb l€*+ –]˜b € q3 ¦^h s] u s]lnpmbsbln€ À ¦3nu^mb~lbl]lymb¦3q^q{o˜]™3rbÀq‰–8lvw´u{~pz^u¢sb–






“3­




C#PO
D)O
GI)LI  g ÀKvwu{mbq3x ”h h J04143 54126#3 '#L 6 LK: 9 9J0ML6 M:#14043„h  h
]Ÿ/u¢©ƒ}ƒu]Ä
“^‹