HAL Id: inria-00099072
https://hal.inria.fr/inria-00099072
Submitted on 26 Sep 2006
HAL is a multi-disciplinary open access
archive for the deposit and dissemination of
sci-entific research documents, whether they are
pub-lished or not. The documents may come from
teaching and research institutions in France or
abroad, or from public or private research centers.
L’archive ouverte pluridisciplinaire HAL, est
destinée au dépôt et à la diffusion de documents
scientifiques de niveau recherche, publiés ou non,
émanant des établissements d’enseignement et de
recherche français ou étrangers, des laboratoires
publics ou privés.
On the representation of timed polyhedra
Olivier Bournez, Oded Maler
To cite this version:
Olivier Bournez, Oded Maler. On the representation of timed polyhedra. [Intern report] A00-R-079
|| bournez00a, 2000. �inria-00099072�
-,.0/213/046587:9<;=5?>=46@BA,CD>FEG-EH4IE)JGC<.24 5?K
LNMPOQ8RTS
UV WYX[Z]\_^<`?acb?dDeTagf3hDZ[b8ijlk mIn o6pqo r sut V6d3v[wBb?Z]xByTb{z}|b~\{V6d]`?B[[yV6d]`~b u00DBc,H <D'0360F ) Q8RTS8 kD]VxH]v[b t ac d3VeTb mI s< ~r'¡ a|b?yTb?\~H[yV6d]`~b ¢ ]0DI' ¢ [£¤
¥§¦©¨~ª~3« ªIu¬deT®[a\{X3V6XHb?y{¯b,ad<xIb~\°eTaqV6eTb'±}²³§´¶µ·<¸I¹º¼»]´¶µ ½¶¾6¤a}bIFXHwIzg<®]b¼vDyV ¯®[ac`®¿V6yTbf3d]ageTbZ]d[acw d]\,w À_ÀZ]zzv<acWYb?d]\¶awId]V z\¶aWYX]za`~b~\,w À:VÁ\¶XHb?`~acV zÂDad3vF ^DZ]`®¿XHw zg[®[b¼v<yVÃÀ0w yTWeT®[b'Ä]V \¶a\Yw À_eTaWYacd[ÅV6d3V6z<\¶a\YV6d3vGacdGX]V6y¶eTa`~Z]zcVy§w À xqbÆyTaf]`¼V6eTaw dÁeTwBw zc\8Ä]V \¶b¼vwIdeTaWYb¼vNV Z<eTwIW§VeV<HÇb,v[bÆf3d]b,VYyTb~X[yTb~\¶b?dDeVeTawId \¶`®]b~WYbYÀ0w y eT®]b~\¶bXHwIzg<®]b¼vDyVÄ3V6\¶b¼v*wIdeT®[b~agyb?ÈDe¶yTb~WYbYxIb?y¶eTa`~b~\~©V6d3v\¶®[w¯ eT®]V6eeT®[ac\`~wIWYX]V `?eyTb?X[yTb~\¶b~dBeVeTacw d'\¶`®]b?WYb:a\`¼V6d]wId[a`¼V z=Àw6y_V zzÊÉT˸6Ì]Í ´¶Î§¾ ÌHµ Ì3¸ Ì3ÏËT¸ Ì]Í ´¶Î¼ÐXHwIzg<®]b¼vDyVad*¾ Ì]º{v[aWYb~d[\¶acw dDÇb{eT®[b~dÃv<b~xqb~zw X'yTb~zcV6eTaxqb?z'b?À2Ñ f]`~ab~dBe§V zIw6yTageT®]WY\uÀw6y§WYb~WÄHbÆyT\¶®]aX©ÄHwBw zb¼V dÒwIXHb?yVeTacw d]\~PX[yTwÓ°b~`ÆeTacw dÔV d]v X]V \¶\TV bw À©eTaWYb:Àw6yeT®]a\yTb~X[yTb~\¶b?dDeVeTawId Õ Ö]×_ØHÙ=Ú8Û,Ü Ý¤Ø=ÞTÚ_×àß× ÛâáãÚØ=Þ¶äßPØ=ÞÚ_× å /2æÃ4 EÅCD;=çÆ9<æNCDç?C=è3CD;=çÆ9<æNCDç?CC<;=é<æÃ4 >[ç?4 EÁê8/cç?ë)ì.09Hì~íN1BCD5?/0C<î=.24Iï,ðñ òóDôDõöèHëFC[ï:÷=5Æ9B1[46> çÆ9Áî¤4'C1<465?øÅ;Fï46ùú;=.Pùú9<5?æÃC<.2/ïÆæûùú9[5,æÃ9HEH46.0/0>=éÁ÷=ëF46>=9[æ4 >FCNê8ë=/ì~ëG/0>31<9<.01<4Yî¤9Dç?ë¿EH/ïTü ì5?4çÆ4_çÆ5~CD>FïÆ/2çÆ/09<>FïPCD>FE§ý];FC<>]çÆ/2ç?CBç?/21[4ç?/2æÃ/0>=é /0>Hùú9<5?æNCBç?/29[>ÊþIñ .cç?ë=9<;Fé<ëYç?ë=46/05ïç?CDçÆ46ü°ïÆ÷FC<ì64 /0ï>=9[>Hü°ì69<;=>]ç~CDî=.04<è çÆë=4:5?4 C<ì~ëCDî=/0.2/2çTø÷=5Æ9[î=.046æèBC<ïPêÿ4 .2.HC<ïP9Dç?ë=4651<4 5Æ/ì CBçÆ/09<> èIïÆø3>[ç?ë=4 ïÆ/ï CD>FE)9<÷Hç?/2æÃ/0@ CDçÆ/09<>Fï:÷=5?9<î=.046æNïÿùú9<5{ç?/2æÃ4IE)C<;HçÆ9[æÃCDç?CCD5?4ïÆ9<.01BCDî=.04<þ å ë=/ï{/ï8EH;=4çÆ9çÆëF4 ùC<ì¼ç,çÆëFCDç ç?ë=4'ì6.29Hì~íï÷FC[ì4C[EHæÃ/cç~ï,C<>G4 ý];=/01BCD.046>Fì64§5?46.CBçÆ/09<>úçÆ/0æÃ4ü¶CDîFïçÆ5~C<ìç î=/ï/0æ;Hü .0CDçÆ/09<>ÿ9DùF>=/2çÆ4Y/0>FEH4 èCD>FE)/cç8/ï{ë=46>ì4§ïÆ; ì/046>]ç{çÆ9ÃæNCD>=/0÷=;=.CBç?4,ç?ë=4 ïÆ4u4 ý];=/01BCD.046>Fì64 ì.C<ï?ï4Iï6è3ê8ë=/ì~ëÅùú9<5?æûC5Æ4IïTç?5Æ/ì¼ç?4 EÅì.C<ï?ï{9DùP÷¤9<.0ø3ë=4 E=5?C'çÆëCBçê:4uì CD.0. ! Dþ "3461[465~CD.F1[465?/#¤ì6CBç?/29[>NçÆ939[.0ïÿùú9<5ÿçÆ/0æÃ4 EÅCD;Hç?9<æNCBç~C§ëFCq1[4 î¤464 >Áî=;=/0.2ç8E=;=5Æ/0>=é'çÆë=4.C<ïç EH4 ì C<EH4[è 4[þéþ%$u5?9<>=9]ïðòu- å'& ó)(=è& ó+* õ°è å /0æÃ4 E-,ÿ9]ï÷CD>Áðñ.$Yó/(IõHC<>FE10 ÷=÷FC<C<.¤ð243 & ó+* õöè CD>FE§çÆë=4{æNCD>=/0÷=;=.CBç?/29[>9<ù=çÆ/0æÃ4 E'÷9[.2ø3ë=4IEH5?C /0ïPç?ë=48ì9<æÃ÷=;=ç?CBç?/29[>FCD.3ì9[5Æ4ÿ9Dù ï;Fì~ë§çÆ939<.ï6þ ò /5¤4 5Æ4 >Fì4*î¤9<;F>FE æÃCDçÆ5?/0ì64 ï6ò,7{J7ÃC<5Æ4*Clêÿ4 .2.2ü°í]>F9Bê8> E=CDç?CBü¶ïçÆ5?;Fì¼ç?;=5Æ4)ùú9<5N5?46÷F5Æ46ü ï4 >[ç?/2>Fé98:;=<ç?/2æÃ4IEÔ÷9[.2ø3ë=4IEH5~C=è îF;Hç';FïÆ;FC<.2.0ø<èP/2>Ôç?ë=4)ì69<;=5~ïÆ49Dù81<4 5Æ/ì CBçÆ/09<> èÊçÆëF4 C<ì6ì6;=æ;F.0CDçÆ4 E 5?4 C[ì~ëFCDî=.04ïTç~CBçÆ4Iïì6C<> ùú9<5?æ C ë=/0é<ë=.0ø >F9<>Hü¶ì9[>]1[4> ïÆ4çÁê8ëF9[ïÆ4Å5?46÷F5Æ46ü ï4 >[ç~CBç?/29[> C<>FElæNCD>=/0÷=;=.CBç?/29[>l÷¤9[ïÆ4ïÆ465?/29[;FïY÷¤465Æùú9<5?æÃC<>Fì4Ã÷=5?9<îF.24 æÃïYçÆ9çÆëF4 ïÆ4ÃçÆ939<.ï6þ ?.@
®]a\ʯw6yTÂ,¯V6\PX]V6y¶eTacV zzgu\¶Z[X]XHw6y¶eTb¼vÄB,eT®[bBA Z<yTwIXHb¼V6d§UwIWYW,Z]d[ae.A \¶X<yTage¶ÑDC @FE j©yTwÓ°b~`?e k s k%G r¿tIH ^ É t b?yTagf3`¼VeTawIdÔw À H [Ä<yTacvl\°<\°eTb~WY\ÐYV d3vleT®[b[yTb~d[`Æ®<Ñ ¬
/0ï'C*1<4 5ÆølC<ì¼ç?/21[4EH9<æNC</2> 9Dù5?4 ïÆ4 C<5?ì~ë ðñ,7 $ ó * õ°è:ð7{J 3 & ó *6õ°è:ð"Hó[óqõöè:ðJ72 ñ,ó<ó<îHõöè ð7 243 ó<óqõ°è ðBõ°þ >NçÆë=/ïÿ÷FCD÷¤465Iè<ê:4 ÷=5?9<÷¤9[ïÆ4 CY>F46ê 5?46÷=5?4 ïÆ46>]ç?CDçÆ/09<>ï?ì~ë=46æÃ48ùú9[5_>=9[>Hü¶ì9<>31[4>ç?/2æÃ4IE ÷9[.2ø3ë=4IEH5?C îFC<ïÆ4 E 9[> C 5?4ùú9<5?æ;F.0CDçÆ/09<> CD>FE 43çÆ46>ï/09<> 9<ù9<;=5Ò÷=5Æ4 13/29[;Fï*ê:9<5?í/0> ð7{J 3ÿó<óqõ©ê8ë=4 5Æ4,êÿ4,÷=5Æ9[÷9]ï4IECì6CD>F9<>=/ì6C<.5?46÷=5?4 ïÆ46>]ç~CBçÆ/09<>Ãùú9[5ÿ>F9<>Hü¶ì9[>]1[4> / : ]÷¤9<.0ø]ëF4 EH5~C=þ3ñ ï:/0>lð7{J 3_ó[óIõ©çÆë=45Æ4 ÷=5?4 ïÆ46>]ç?CDçÆ/09<>/ï:îFC<ïÆ4 EÁ9<>ÁCì4 5ç~CD/0>)ïÆ;=îFïÆ4ç{9Dù çÆë=481[465ÆçÆ/ì4 ï9<ùFçÆëF48÷9[.2ø3ë=4IEH5Æ9[>Êþ å ë=48ïÆ/2@ 4:9<ù9[;=5ì6C<>=9<>=/ì6C<.35Æ4 ÷=5Æ4Iï4 >]ç?CBç?/29[>§/ï ê8ë=465?4 /0ï§çÆë=4)>3;=æî¤465'9Dù1<4 5ç?/0ì64 ï§C<>FEÒ/0ï§çÆë=4ÅEH/2æÃ4 >Fï/09<> þP7{C<ïÆ4 E 9[> çÆë=/ï5?46÷=ü 5Æ4Iï4 >[ç~CBç?/29[>lê:4EH4 1<46.09<÷ 5?46.CBç?/21[46.0ø[ü°4> ì6/24 >[çC<.2é[9<5?/cç?ë=æNïùú9<5§æÃ4 æî¤465~ïë=/0÷Êè7ÿ939[.24ICD> 9<÷¤465~CBçÆ/09<>ï6è3÷=5?9T4Iì¼çÆ/09<>CD>EÁ÷FC[ïÆï?CDé[4,9<ù ç?/2æÃ4Y9<>CD5?î=/2çÆ5~CD5?øÃçÆ/0æÃ4 EÅ÷9[.2ø3ë=4IEH5~C9<ùC<>]ø EH/2æÃ4 >Fï/09<> þ
>Ã9<5~EH465çÆ9§ïÆ/0æ÷F.2/2ùúø§ç?ë=48÷=5?4 ïÆ46>]ç?CDçÆ/09<>ê:485?4 ïçÆ5?/0ìçç?ë=4EH/ïÆì6;Fï?ï/09<>/2>ç?ë=/0ï ÷FCD÷¤465çÆ9 : : ¤ç?/2æÃ4 El÷¤9<.0ø3ë=4 EH5~C=è¤î=;Hçuç?ë=4Ã5Æ4Iï;=.2ç?ïuì CD>¿î¤4Ã4>3çÆ4 >FEH4IEGç?9 çÆ5?4 CBç8;=>F/29[>Fï89Dù÷9[.2ø3ë=4IEH5~C'9<ùP1BCD5?ø3/2>FéÃE=/2æÃ46>ï/09<>Êþ
å
ë=4ÿ5?4 ïçP9<ù=çÆëF4ÿ÷FC<÷4 5P/ï9<5?é[C<>=/2@ 4 EYC[ï ùú9[.2.09Bêï /0>'ïÆ4 ìçÆ/09<>"! êÿ4:EH4>>=4ÿ9[5ç?ë=9<é[9<>FC<. ÷9[.2ø3ë=4IEH5?C CD>FEué[/21[4>=46êÔ÷=5?939Dùï©9<ùHçÆë=4_æÃC</2>5Æ4Iï;=.2ç?ïÊùú5Æ9[æð7{J 3_ó[óIõ3ì69<>Fì6465?>=/0>=é{çÆë=4 /25 5Æ4 ÷=5Æ4Iï4 >]ç?CBç?/29[>¿î3øG4]ç?5Æ4 æÃ41[465ÆçÆ/ì4Iï6þ
> ï4Iì¼çÆ/09<>$#Åêÿ4Ã/0>]çÆ5?93E=;Fì4çÆ/0æÃ4 El÷¤9<.0ø]ëF4 EH5~C CD>FEÃ÷=5?9B1<4{ç?ëFCBçÿçÆë=4 øNì6CD>Nî¤45?46÷=5?4 ïÆ46>]ç?4 ENì6C<>=9<>F/0ì CD.0.2ø'î]ø'çÆëF46/05_4>3ç?5Æ4 æ4 1<465ÆçÆ/ì4Iï6þ
> ï4Iì¼çÆ/09<>ôÃê:4§EH/0ï?ì;ïÆï87:939<.04 C<>)9[÷4 5?CDçÆ/09<>Fï èH÷=5?9T4 ìçÆ/09<>Fï èHCD>FE)ç?ë=4ì6C<.0ì6;=.CBçÆ/09<>Å9DùçÆëF4 4>5 4 ì¼ç9<ùç?/2æÃ48÷FC[ïÆï?CDé[4<þ&%/2>FC<.2.0øê:4{æÃ46>]çÆ/09<>NïÆ9<æÃ4{5Æ4 .0CDçÆ4 E'ê:9<5?í§CD>FEùú;HçÆ;F5Æ485?4 ïÆ4 C<5?ì~ë EH/25?4 ìçÆ/09<>Fï þ ' ( ÙFÞÛ,Û*),+Ú-.)0/01 Û Ù=ß ß× Û324/01PÞTÙ65718,Ù1:9;1 ×ÿØHßØHÞÚ_× å ë=5Æ9[;=é<ëF9<;HççÆë=48÷CD÷¤465ê:4:C[ïÆïÆ;=æÃ48C<<ü¶EH/2æÃ4 >Fï/09<>CD.>=Püö1[4 ì¼ç?9<5ïÆ÷FC<ì64<þ >çÆë=/ïïÆ4 ì¼ç?/29[> êÿ4ÁC<.0ïÆ9¿C[ïÆïÆ;=æÃ4C6 H4IE îFC<ïÆ/0ï§ùú9<5çÆë=/ï'ïÆ÷FC[ì4ÁïÆ9*çÆëCBç÷¤9</0>]ç?ïCD>FEÔïÆ;=îFïÆ4ç~ïì6C<> î¤4 /0EH4 >]çÆ/F4 EGçÆë=5?9<;=é[ëGç?ë=46/05ì6939<5~EH/2>CBçÆ4Iï î3ø*÷¤9</0>]ç?ïCD>FEÒï;=îï46ç9<ù?=A@¤þ å ëF4'5?4 ïÆ;=.2ç?ï,9Dù çÆë=/ïïÆ4 ì¼ç?/29[>ÅC<5Æ4u/0>31qC<5Æ/CD>]ç{;=>FEH4 5 ì~ëFC<>=é<49DùîFC<ïÆ/ï6è A CD>FE)çÆëF/0ï:ùC[ì¼çê8/0.2.Êî¤4Y4>H÷=.09</2çÆ4IE /2>ÅçÆëF4Y>=4>3ç ïÆ4 ì¼ç?/29[>Êþ Ò48C<ï?ïÆ;=æÃ4_ç?ëFCBçCD.0.39<;=5÷¤9<.0ø3ë=4 E=5?C .2/01<4{/0>Fï/EH48C,î9[;=>FEH4IE'ïÆ;=îFïÆ4çABDC ðEGFÁõ@IH =J@ ú/0> ùC<ìç èç?ë=4*5Æ4Iï;F.cç~ïÃë=9<.E CD.ï9Òùú9<5K=A@
þLl4GEH46>=9<çÆ4*4 .24 æ4 >]ç?ïÃ9DùIB C<ïNMOC P
A
ERQ QRQ ESP
@
è<ç?ë=4,@ 465?9§1<4Iì¼ç?9<5:î]øT)CD>FENçÆë=41<4Iì¼çÆ9[5 SUERUVERQ QRQWE U%î3øYX¤þ å ë=4>:Z [ ) uC<ï?ïÆ93ì6/0CDçÆ4IEê8/2çÆë\B /ï]^C`_aZERULQ QRQbESFdceUf&@<H7gA@¤þ%=9[5:4 1<4 5ÆøÃ÷¤9</0>[ç*M$h B èijMlkY/ï:çÆë=4Yé[5Æ/EÁ÷¤9</0>]çì9<5?5?4 ïÆ÷9[>FEH/0>=é§ç?9ÃçÆë=4u/0>[ç?46é[4658÷FC<5ç{9DùçÆë=4Yì69<æÃ÷9[>=46>]ç~ï{9Dù Mþ å ëF4,é[5Æ/EÁC[EHæÃ/cç~ï:C>FCBç?;=5~CD.¤÷FCD5ÆçÆ/CD.¤9<5~EH465{EH4F>=4 E)C<ïP A E QRQRQ ESP @ nm Ppo A E QRQ QRESPpo @ /cùÊùú9[5_4 1<465?ørq?è;PsLmeP o s þ å ë=4,ïÆ4ç{9Dù ïÆ;=îFïÆ4ç~ï_9<ù©çÆë=4,46.046æÃ46>]ç~CD5?ø'é[5Æ/EÃùú9<5?æNï_C'7ÿ939[.24ICD> CD.0é<46îF5?C t!VuvEwnExnEy :;F>FEH465{ç?ë=4§ïÆ4çüöçÆëF469<5?4ç?/0ì9[÷4 5?CDçÆ/09<>Fï þ z|{;}J~ p~ X G]| :ep{; &A4MC P A ERQ QRQREGP @ [ [ ) :* >>: Y<7 &8 Y |M U 8&\bZW> .<B S 0> , M40C ðP A EGP A UõÃðP K ESP Kp U6õ"Q QRQ6ðP @ EGP @
U6õL B :M .8 =U .t& B8 : .* M4R v'Sv=<+b 1): |[\ / # ! :\ : : S >>: K=<+b aB : >>>:'S!¡<
L
¡
ì.09[ïÆ4 E);=>FEH4 5{çÆë=4uùú9[.2.09Bê8/2>Fé9[÷4 5?CDçÆ/09<>Fï C x| OCq > wKq >U! C!y úê8ë=4 5Æ4 C<>FEq C<5Æ4¿çÆë=4ÒçÆ9[÷9[.29[é</ì6CD.uì.09[ïÆ;=5?4¿CD>E /0>[ç?465?/29[5)9[÷4 5?CDçÆ/09<>Fï K þ å ëF4 î=/T4Iì¼ç?/29[>rî46çTêÿ4 46>] CD>E %ê8ë=/ì~ë'C<ï?ïÆ93ì6/0CDçÆ4Iï 4 1<465?øuî9 §ê8/2çÆë'/cç~ï.246ù}çÆæÃ9[ïçì9<5?>=4 5 ì.04 CD5?.0øG/2>EH;Fì4IïYCD> /ï9[æ9[5Æ÷Fë=/0ïÆæî¤4çTê:4646> !u[EwnExnEby uCD>FE t!¡0E E Eþ >lçÆëF4 ï4Iý[;F46.Fê:4 ê8/0.0.¤ïÆê8/cç~ì~ëNî46çTêÿ4 46>÷¤9</0>]çü°îFC<ïÆ4 ENC<>FEÃî¤9 ]ü°îFC[ï4IEçÆ465?æÃ/2>F9<.09<é<øC<ì ì9<5~EH/0>=é çÆ9Nê8ëFCDç8ïÆ465?1<4Iï:î46ççÆ4 58çÆëF4Y/2>]çÆ;F/cç?/29[>Êþ
z|{;}J~ p~ t ~ t~ &N4 : ) ) !:l| 8 : 8 : >B _aZERUf -/ : &?> JI M - N 1 : >: M4 CdU M4 H ! I >b W " M4C) ijMlkR
# 9Dç?4 ç?ëFCBç$ C<.2æÃ9[ïç:ì69</0>Fì/EH4Iï_ê8/2çÆëÁçÆë=4uì~ëFCD5~C<ìçÆ4 5Æ/ïTç?/0ì:ùú;F>Fì¼ç?/29[>)9<ù: C<ï:CïÆ;=îFïÆ4ç{9Dù B þ ç EH/5¤4 5?ï:ùú5?9<æà/cç9[>=.2øÁ9<>Å5Æ/0é<ë]çü°î¤9<;=>FEFCD5?øN÷9[/2>]ç?ï ï4 4v%/2é[;=5Æ4NU6üC/ þ
% &('*) + &,-) &(./) ,-021 , ,-043 &,5021*)6073
8 0£593 ÉúVqÐ ¤ yTacv]vDXHwIzg<®]b~v<yTwIdGV6d3vVN\TV6WYX]zb§w ÀeT®]bYx V zZ]b?\w ÀeT®[b§`~wIzw yÀZ]d[`?eTawId*age ad]v[Z]`?b~\wId!:)¤É}Ä3Ð
@
®]b8d]b?ac ®DÄHw yT®]wBwDvNV6d3vX[yTb¼v<b~`~b~\¶\¶w6yT\ÿw6ÀÊV yTacvXHw adDe2;Ê
z|{;}J~ p~< { {={=>?> >A@CB { EDGF :"> ~ ~{=> IH : > : U8:Z )0M |U " :JM C P A E QRQ QWESP @ J [q !)8b.<M MK s C P A
ERQ QRQWEGPsc UE QRQ QWESP
@ R:Ò4Ã;FïÆ4"MK sML C<ïC ïëF9<5ÆçÆëFC<>FEùú9[51MK s NK L J : > !% SM9 . <=O M4?C _ P A c4UEGP A f0\QRQ Q&|Q QRQb_aP @ c4UEGP @ f /þ4<þ=çÆë=4Y1[465ÆçÆ/ì4 ï:9<ùCî¤9 Á.2ø3/0>=éNî¤4çTê:4646>\MYceXC<>FE\Mè4%/0é<;=5?4NUü úî!R J N )8QP ! 8 : r= = M SRaM C`_ h ]D m MJf t%P/0é<;F5Æ4v!qü C J n>b ! 8 : r= = M 0M T<C`_ h] M4m f t%P/0é<;F5Æ4v!qü úî R
2Ê4ç EH4 >=9Dç?4NC<E=EH/2çÆ/09<>ÒæÃ93E=;=.29 !=è¤í3>=9Bê8>lCD.ï9ÅC<ï,çÆëF44=ì.0;Fï/01<46üö9[5- ,9<÷=ü 465~CBçÆ/09<> /0> 7:939<.04 C<> C<.2é[46î=5~C=è C E ¼þ<l4 ê8/0.2.;FïÆ4 çÆëF4 ïÆC<æ4¿>=9Dç~CBçÆ/09<> ùú9[5Áç?ë=4ÒïÆø3æÃæ46çÆ5?/0ì¿ï46çÅEH/5¤4 5Æ4 >Fì4Ò9<÷¤465~CBç?/29[> 9[> ïÆ4ç?ï è{EH4>F>F4 E C[ï C _aM`'M`h M`h-f]þ å ë=/0ï'/ïCD> C<ï?ï9Hì/CBç?/21[4NCD>FE ì69<æÃæ;=ç?CBç?/21[4 9<÷¤465~CBçÆ/09<> èÊïÆCDçÆ/ïTùúø3/0>=é C )9[> >];Fæî¤465~ï6èÊC<>FE CÁ9[>lïÆ4ç~ï6þ:Ò4Nê8/0.2. ïë=9Bê çÆëFCDç461<4 5ÆøYé[5Æ/E=EHøY÷¤9<.0ø3ë=4 E=5Æ9[>'C<E=æ/2ç?ïCuì CD>=9[>=/0ì CD.HEH4Iì9<æÃ÷¤9[ïÆ/cç?/29[>/0>]çÆ9YC 9Dùì9<>F4 ï þ &M'*) , , , &(./) , 8 0£¤! F ÉúVIÐ @ ®]b8Ä3V6`ÆÂB¯V6yv'`?wId]b8Ä]V \¶b¼vV6e2; FÉ}Ä3Ð @ ®]b{Àw6y¶¯VyvÃ`~wId[b8Ä3V \¶b~vÃV6e2;Ê " { {$# X %'&G {$( {=>a{ ~l ap~ *)' :? ) ) B# ! :v !' I : ,+R B: I- . ) :Ib8 C/. 021$354 T 6 !%.W %P/05~ïTç:êÿ4ïë=9Bê 4H/0ïçÆ4 >Fì4,9Dù-Nþ+2Ê46ç7 î¤4uCYçÆ9<ç?C<.9[5?EH4 5_5?46.CBç?/29[>N9<>\]Òè M A 7 M K 7 QRQ QSM8:9[èPê8ëF/0ì~ë /ïì69<>FïÆ/ïTç?46>]ç'ê8/2çÆëÔç?ë=4Á÷CD5ÆçÆ/CD._9[5?E=465m CD>3øÒ.04>H/ì9[é<5~CD÷=ë=/ì 9<5,E=/0C<é<9<>CD. 9[5?E=465ê8/0.2.EH9+¼þ 7:øÅEH4F>=/2çÆ/09<>ÊèlM;7 /0æÃ÷=.0/24Iï =<h R Mþ å ë=4§ùú9[.2.09Bê8/0>=é /cç?465~CBçÆ/01<4'CD.0é<9<5?/2çÆë=æ ì9[>FïTç?5Æ;ì¼ç?ï-NþpÒ4EH46>F9DçÆ4'î3ø>- L çÆëF4'1BCD.0;=4'9Dù- CDù}çÆ4 5@?ÅïTç?46÷Fï CD>FE)î3ø LçÆë=4§ì69<.09<5{ùú;=>FìçÆ/09<>9DùPçÆë=4§C[ïÆïÆ9Hì/CBç?4 E)÷9[.2ø3ë=4IEH5Æ9[>| L<CA.
021$3CB24 T þ -EDVC F ?"C UçÆ9NFY@ F M L <C LHG A M L a{ ~ -C- x_ M L f { ~ å
ë=/0ïCD.0é<9[5Æ/2çÆëFæ/ïuì9[5Æ5?4 ìç î4Iì6C<;Fï4CBççÆë=446>EG9Dùÿ461<4 5ÆøïçÆ46÷I?Å/2>¿çÆë=4.09]9[÷Gê:4 ëFCq1<4!L/MJ C )MJ ùú9<5461[465?øLK4mM?þ
çYë=9<.E=ï çÆ5?/213/CD.0.2øGCDç çÆëF4î¤46é[/2>F>=/2>FéÅC<>FEG/0> 461<4 5ÆøïçÆ46÷ èFç?ë=4'ì69<.09<59<ùLMJùú9<5CD.0.KLNO?)/0ï ÷=5?4 ïÆ465?1<4 E î4Iì6CD;ï4çÆë=4 /25uì9[.29[5/0ï,>=9<ç /2>2P;=46>Fì64 EÅî3øNçÆëF4§ì9<>F4<M T
L
{C<>FEÁ;F÷¤E=CDçÆ4IE*ì9<5?5?4 ì¼ç?.2øÃùú9[5*M Lu/2ù>=464IEH4 E©þ
çÆëFCDç C . 021$3 4 T C . 1 T
çÆë=4 > C -Ãþ >FE=464 EÊè=î3øNçÆë=4Y÷F5Æ9[÷4 5ç?/24Iï{9Dù'èHêÿ4uëFCq1[4
vC 6 C . 021$34 T . 21 T C . E13 T ú/2ù©C÷¤9</0>]ç 4 C<÷=÷¤4 CD5~ï/0>î¤9Dç?ë C<>FE -/cç_ì CD>Ãî484 .2/0æÃ/2>CBçÆ4IEî4Iì6CD;ï4 4 T 4 T C )¼þ å ë=4_ïÆ4çPEH4 >=9Dç?4 Eî3ø ç?ë=45?/2é[ë]çÆæÃ9[ïçÊ4>H÷=5?4 ï?ï/09<>/ïÊ46æÃ÷HçTø9<>F.2ø,/cù - C Hè69DçÆëF465?ê8/0ïÆ4 CD>3øæÃ/2>F/2æNCD. 1<465ÆçÆ4 4 /2>M;- î¤46.09<>Fé[ï:çÆ9N/2ç þ
K{*# > A"3/0>Fì64N461<4 5ÆøÒï46ç9Dù{÷9[/2>]ç~ï§EH4>>=4 ï'CW üùú9[5Ææ';=.0CÅCD>EÔC÷9[.2ø3ë=4IEH5Æ9[>Êè©ê:4 ëFCq1<4 C<>N/2>]ç?465?4 ïçÆ/0>=é§>=9[>Hüç?5Æ/013/0C<.=î=/T4 ìçÆ/09<>Á9[>ï;FîFï46ç?ï_9Dù]Òþ # 9Dç?4ç?ëFCBçÿùú9<5ç?ë=4,ì~ëF4 ï?ï î9]CD5~E - C ]Òþ 2Ê4ç ] _&E Ufuî4uç?ë=4§ì~ëFCD5~C<ìçÆ4 5Æ/ïTç?/0ì ùú;=>FìçÆ/09<>9DùPçÆë=4§ïÆ4ç - H ]Òþ F > { 4 t~ Xp5) ;> :MJ )M4C . 1
å ë=/0ïé</01<4 ï;FïN/0ææÃ4IEH/0CDçÆ4 .2ø CÔEH4 ì6/0ïÆ/09<> ÷=5?93ì64 EH;F5Æ4Åùú9<5çÆë=4GæÃ4 æî¤465~ïë=/0÷ ÷=5?9<î=.046æ M h7N>T;Fïç'ì~ë=4Iì~í*çÆë=4Á÷FCD5?/cçTø¿9Dù - w R Mþ > ð7{J 3ÿó<óIõÿê:4NëFCq1[4ÃïÆë=9Bê8>ÒçÆëFCDç§çÆëF4 46.046æÃ46>]ç?ï 9Dù-ûCD5?4uçÆë=9]ï4§1[465ÆçÆ/ì4Iï9DùLç?ëFCBçuïÆCDçÆ/ïTùúøï9[æÃ4§.29Hì CD.Pì69<>FE=/cç?/29[>Fï6þ >*çÆëF4 ùú9<.0.29Bê8/0>=é ê:4:é</01<4{CD>'C<.cç?465?>FCBç?/21[4_÷=5?939DùF9<ù=çÆëF/0ïùC[ì¼ç èqê8ë=/ì~ë5Æ4Iý[;F/25?4 ïï9[æÃ4:C[E=EH/2çÆ/09<>FC<. EH4>F>F/cç?/29[>Fï{çÆ9ùC[ì/0.2/2ç?CDçÆ4Y/0>FEH;FìçÆ/09<>9B1<4 5ÿç?ë=4§EH/0æÃ46>FïÆ/29[>Fï þ
z|{;}J~ p~ K$& B {;EDGF? ~ K$&" "> ~{ & ;MC P
A ERQ QRQ ESP @ J Kl : !% . M 1 I J M4?C _ P A c UESP A fv4QRQ QZ _ PJ c UEGPJ;f[4_ P J A fv4QRQ QZ _ P @ f;Q J KlS )8QP ! 8= : -. M v> J M4C`_ P A fv Q QRQ _ P J fv _aE QRQ QWESP J A fv Q QRQ _aZERQRQ QWESP @ fVQ # 9Dç?4ç?ëFCBç D M4<C _aMJf[è @ M4<C O M4¼è D M4<C R&M CD>FE @/M4 C _aMJf ï4 4 %P/0é<;F5Æ4[#/þ F > { 4 t~ 5) ;> K > J M4?C JG A M4 JG A M K J : J M4C JG A M4 JG A M K J bQ " { {$# M {*#£{[{ aV{ > & :ZM [ > 18 : : .8= : :Z 8= )8. D : . \ ) ) =:6 : : M ; =< .r > : . 1 "! C`U .U
, , , , &,?) 1 &,?) 3 &,?) &,?) 1 &,?) 3 &,?) 8 0£F @
. 1 ! $# C . E1! $# WQ t!/ å ë=4§÷=5?939Dù/0ï,EH9<>=4Yî3øÅ/2>EH;Fì¼ç?/29[>*9<>LK þp%=9<5KKC Ã/cç,/0ïLT;FïTçCN5Æ4 ÷=ë=5~C<ïÆ/2>Fé9<ù9[îFïÆ465Æü 1qCDçÆ/09<> U<þ4"3;F÷=÷9]ï4Ã/2ç§ë=9<.E=ïùú9[5KcU[þÊ7ÿøÒï;=æÃæÃ/0>=é*;=÷ÒçÆë=4ì6.0C</2æNïùú9<5[M CD>FEÒùú9[5 M K J êÿ4u9<î=ç?CD/0> . 1 1 ! $# . E1 1 ! 0 # C . 1 1 ! $# . 1 1 ! 0 #
ê8ë=/0ì~ë èHî]øN13/05ç?;=4u9Dù-,îï4 5Æ1BCBç?/29[>\!'CD>FEçÆë=4Y/0>FEH;ì¼çÆ/01<4ë3ø3÷9<çÆë=4Iï/ï6èHé[/21[4 ï_çÆë=4u5?4 ïÆ;=.2ç ùú9<5 K þ "3;FîFïTç?/cç?;HçÆ/0>=é KC /0> !)èêÿ4*ì~ëFC<5?C[ì¼çÆ4 5Æ/0@64ÁçÆë=44 .24 æ4 >]ç?ïÃ9Dù - C<ï'çÆëF9[ïÆ4 ïÆCDçÆ/ïTùúø3/0>=é§ì9[>FEH/2çÆ/09<>6.U ¼þ >Gð7{J 3_ó[óIõê:48ëFCq1<4{÷=5?9B1<4IE§ç?ëFCBçç?ë=4 ïÆ48÷9[/2>]ç~ï_ì9[>FïçÆ/2çÆ;Hç?4 Cï;FîFï46ç,9<ùçÆë=4'1<465ÆçÆ/ì4Iï9<ù ê8ëF/0ì~ëGê:4'ì CD.0. Æ4>3çÆ5?46æÃ4Ã1[465ÆçÆ/ì4Iï6èFùú9<.0.29Bê8/0>=éÁCNé[469<ü æ46çÆ5?/0ì CD.ÊEH4F>=/2çÆ/09<>/0> ðñ ñ,óDõ©ùú9<50m #=þ Ò4Ò5Æ4 1]/046ê 9[;=5)æNC</2> C<.2é[9<5?/cç?ë=æÃ/0ìG5Æ4Iï;=.2ç?ïùú5Æ9[æ ð7{J 3ÿó<óqõ°è:C[ïÆïÆ;=æÃ/0>=é C 34IE EH/2æÃ4 >Fï/09<>§C<>FEÃEH46>F9DçÆ/0>=éYî3ø ¿çÆëF4>3;=æî¤4659<ù 43çÆ5?46æÃ4{1<465ÆçÆ/ì4Iï9Dù©Cu÷9[.2ø3ë=4IEH5?9<> Ãè=ê8ë=/ì~ë)ê:4YC<ï?ï;=æÃ4çÆ9Nî¤4§ïÆ9<5ÆçÆ4 EÁ/2>*ïÆ9<æÃ4 H4 EÅ9<5~EH4 5 þ
F > { 4 t~< S p{ ~ ({ t~> Z4 : * * /'= ! J U 8 .>=>: 8= S : 8 :`= 8.p9 : D 'R J 8. : . B c I8 :4- : :7D .U% J Y: : x4 1 : 7 : 8>D :Z w4 8 :68.p7 : D =R 6 !%.W ,ÿ9<æÃ÷=;Hç?/2>=é r /0ï çÆ5?/01]/CD.3CD>EïÆ9 /ïPì69<æÃ÷=.046æÃ46>]ç?CDçÆ/09<>';Fï/0>=é B c C TIT* þ<-,îFïÆ465?1]/0>=é8ç?ëFCBç x C rI w ÁèIì69<æÃ÷=;Hç?/2>=é;=>=/09<>5Æ4IEH;Fì4IïÊç?9ì69<æÃ÷=;Hç?/2>Fé /2>]çÆ4 5?ïÆ4 ìçÆ/09<>Êþ # 9BêYèB;Fï/0>=éu5?4 ì;F5?ïÆ/21[46.0øçÆë=48/EH46>]ç?/cçTø -w C w 7 w ¼è ê85Æ/2çÆ4 . M T s :w . B L T LC . B Ms T w L T C . B æNC MsGE L T
ê8ë=465?4uæÃC )EH4 >=9Dç?4 ï{ç?ë=4YæNCH/2æ';=æûì69<æÃ÷9[>=46>]çÆüöê8/ï4[þ
Ò4Y;FïÆ4çÆë=4uùú9[.2.09Bê8/0>=éçÆ465?æÃ/2>F9<.09<é<øÃùú5?9<æ ð7{J 3ÿó<óqõ
z|{;}J~ p~ ! V{=>A@ {= p~> ~ p~{ > &0>n K ) ) !:Z qh _VUE QRQ QWEGZf : #"h _aZERQ QRQWEGF ceUf
J -qE!"+b 8U.0 Z : : =: $ s % t1LC _ M4"Nm PsAm&" Uf J
-qE!"+b8 : .* Uvc U%W >:Z : ! : ' s % t1LC $ s % 1 w_aM P s C("f> J q !*)=8D : S0 11tvc U%b : : !: +-,
s!t1LC _+P ERQ QRQ ESPs,G ESPps
E QRQRQGP @ n./" P E QRQRQ ESPps^G E0"ZEGPs E QRQRQGP @ nh rf
4 8= l : . $ s % : 6. ' s % 8= :£= > : [ 4 I =)8>D : +-, s!t1 .* 8.p U : D < R
6 !%.W 0 ïÆ/2>=éN/EH4 >[ç?/cçTø 6U C ¼èêÿ4uëFCq1[4
$ s % . 1$3 M T C . 1$3 $ s % M T !bQ å ë=/0ïué[/21[4 ïuCD>l/0ææÃ4IEH/0CDçÆ4NCD.0é<9[5Æ/2çÆëFæ ùú9<5§ì9[æÃ÷=;HçÆ/0>=é $ s % t1uCD>FEÊè©ë=46>Fì64ùú9<5§ì9[æü ÷=;HçÆ/0>=é ' s % 1þZ%=9[58÷=5Æ9T4 ìçÆ/09<>Áê85?/2çÆ4 + , s t1C % + , s $ s % t1 6þ 2lÞ 1 Û^+Ú-)0/01PÛÙ=ß ß×,Û Ø/01 ÞÙ65718 ÙZ1:9;1 ×ÿØ3ßØ=ÞTÚÿ×
>§çÆëF/0ïïÆ4 ì¼ç?/29[>ê:4ÿ43çÆ46>E§9<;F5P5?4 ïÆ;=.2ç?ï çÆ9- I ! :ê8ë=9[ïÆ4:î=;=/0.0EH/0>=éî=.093ì~íHïCD5?4 ì465Æç?C</2>GçTø]÷¤4 ï,9Dù_ïÆ/0æ÷F.2/ì4Iï6þ 2Ê46çãEH4 >=9Dç?4§ç?ë=4ïÆ4ç9Dù÷¤465?æ;Hç~CBç?/29[>Fï 9[>_VUVERQ QRQbEGZf[þ Ò4 ê85?/cç?4Ò÷¤465?æ;Hç~CBç?/29[>Fï hC<ï SU% t!/ +¼þ å ë=465?4Ò/ïC >CBçÆ;F5?C<. î=/T4Iì¼ç?/29[>Nî46çTêÿ4 46> CD>FE'çÆëF4ï46ç9Dù©ï/0æÃ÷=.2/ì4Iï9Hì6ì6;=5Æ5?/0>=éu/2>NCYïÆ÷4Iì/ì:çÆ5?/0C<>=é<;F.0CDçÆ/09<> 9Dù©çÆëF4 <üö;=>F/cç:ë]ø3÷¤465~ì;=î¤4Uï9[æÃ4çÆ/0æÃ4 ï:ì6C<.2.04 Eç?ë=4 $u;=ëF>NçÆ5?/0C<>=é<;F.0CDçÆ/09<>Gð2 ó *Iõþ; 46>Fì64 çÆë=4 ì69<5?5Æ4Iï÷¤9<>EH46>Fì64{î46çTêÿ4 46>Né<5?/E'÷¤9</0>]ç?ïC<>FEÃ46.046æÃ4 >[ç~CD5?øî¤9 H4 ïùú5?9<æ çÆë=4÷F5Æ4 1]/09<;ï ï4Iì¼çÆ/09<> ì6C<> î4N4]ç?46>FE=4 El/2>]ç?9Cì69<5?5Æ4Iï÷¤9<>FE=46>Fì64'î¤4çTê:464 >£] CD>FE¿çÆëF4ï46ç§9Dù ï;Fì~ë)çÆ5?/CD>=é[;=.0CDçÆ/09<>Fï:9<ùPç?ë=4Y46.046æÃ46>]ç~CD5?øî9 H4Iïÿ/0>YB þ z|{;}J~ p~ {*#£{ ~l > # (JV{=>A@ " ,#£{ { & ~ p~{ > &Z> 4 U " : : - > r D :p J >>>: N !<6 >%8 =K 6 4 E U 4 E nC _aM ;"m P ! A # c ! A # m P ! K # c ! K # m QRQRQZmeP ! @ # c ! @ # m UfVQ J !:9 \: : .>: | . # 8=WR4H 8 :6= !<> =b & 8 : 8>D : <;] _aZERUf J J>b ! 8 : r= = : : 4 4 E T C`_ M4Nm6P ! A # c ! A # meP ! K # c ! K # m QRQ Qm6P ! @ # c ! @ # fVQ å ë=4 ïÆ4,>F9DçÆ/09<>ï:C<5Æ4,/2.0.0;FïTç?5?CDçÆ4IE/0>\%/0é<;=5?4,ô'ùú9<5*"C !Hþ >ÁçÆë=4YïÆ4 ý];=46. ê:4,ê8/0.0.¤;ï4çÆëF4 êÿ9[5?E)ï/0æÃ÷=.24)î¤9Dç?ë)ùú9[5C÷FCD/05 4 E 8CD>FE)ùú9[5{çÆë=4YïÆ4ç 4 E þ # 9DçÆ4uç?ëFCBç{ùú9[58461<4 5Æø 4 è . 1"! 4 E ?C 4 C<>FE . 1"! 4 E T C 4 T Q " { {$# < %'& |{$( {=> { ~l t~ F " ,#£{ p{ ) : D =' ! :|r B ! 1 K: ,+R7 : I- H ]3 b8=6 `C . !0 1$3 4 E T
L Q L Q 8 0£¤ @
®[bÃ\¶b?eYw6À:Ä]V \¶a`Ã\¶aWYX]za`~b~\YadÒv[aWYb~d]\¶aw dlkBÊeT®]b\¶acWYX[zac`?b~\ VÉ¶É ~ Ð Ék жÐV d]v V§É¶Éúm ¶r Ð É k жÐV d3v§eT®]b{À0w y¶¯Vyv<Ñ`~w d]b~\ ɶÉúm k Ð Ék жÐV6d3v)É¶É mqÐ É kIжÐB 6 !%.W å ë=48÷=5?9]9<ùF/ïï/0æÃ/2.CD5ç?9,ç?ë=48÷=5?939DùF9<ù å ë=4 9<5?46æ U[þ å ë=4{9<>=.0øC<EFEH/cç?/29[>FCD.=E=4ç?C</2. /0ï,çÆëF4'4]ç?46>FïÆ/09<>¿9<ùçÆëF4'9[5?EH4 5,9[>$] /0>]çÆ9C.04>H/ì9<é[5?C<÷=ë=/ìY9<5~EH4 5,9[>$] Ôþ "3/0>Fì64 çÆë=4Nì9[>=4 ï RMAE uCD>FE R+MAE uC<5Æ4ÃEH/ïT9[/2>]çuùú9<5 <C©è ç?ë=4N÷=5?9<÷¤465ÆçÆ/04 ï;FïÆ4 E¿/2>lçÆëF4 ÷=5Æ939<ùCD5?4u÷=5?4 ïÆ465?1<4 EÊþ -,;=5 é[9[CD. ùú9<5,çÆë=45?4 ïç,9Dùç?ë=4Ãï4Iì¼çÆ/09<>*/ï,çÆ9 F>FE¿C7%8= B8= ! /8>> % :Å9<ùçÆëF4 46.046æÃ46>]ç?ï 4 E 89Dù -NèFïÆ/0æ/0.CD58ç?9÷F5Æ9[÷4 5çTø7SU%:/0> å ë=469[5Æ4 æ^!HèHîC<ïÆ4 EÅ9<>ÅçÆëF4Y÷FCD5?/cçTø 9DùçÆë=4§ì69<.09<5~ï_9[>ïÆ9<æÃ4YïÆ;=/cç~CDî=.0ø]ü°E=4>F>=4IE7: > ! %§9Dù 4 E ¼þ F > { 4 t~ z|{=# ( >a t~$ F " ,#£{ £ { &A : D =.# R ! :| 8 : -)8. = : `C . 1"! Q
!U /8=K " / # ! : :" & US*= @
6 !%.W,7ÿøÁ.246ççÆ/0>=é - C _ 4 4 E hL-NfYêÿ4Yì CD>Å5Æ4 ê85Æ/2çÆ4[C<ï C . 1"! . 021$3 4 E T C . 1"! Q C<ì~ë$
/ïCI 9<ù ¤ü¶ì9[>=4 ï èÊCD>FElë=4 >Fì4Á/cç§/ï§é[5Æ/E=EHøG/0> çÆëF4ì939<5~EH/0>FCBç?4ÃïÆøHïTç?46æ ì9<5?5?4 ïÆ÷9[>FEH/0>=éÁç?9 ê8ëF/0ì~ë /ïY5Æ4 .0CDçÆ4IE¿ç?9çÆë=4N9[5ç?ë=9<é[9<>FC<.ïøHïçÆ46æ î3ø*çÆë=4çÆ5~CD>Fïùú9<5Æü æÃCDçÆ/09<>" !A # C7P !A # CD>E ! s # C P ! s # c P ! s,G A # ùú9[5*q !Hþ
Ò4uEH46>F9DçÆ4 çÆë=4uì9[.29[5ùú;=>ì¼çÆ/09<>)9Dù: î3ø þVl4uì6CD.0.çÆë=4uì9[5Æ5?4 ïÆ÷9[>FEH/0>=éYé<5?/EÃçÆë=4 J Dþ >ÃçÆëF/0ïé[5Æ/EçÆë=40qöü°÷=5?4 EH4Iì4 ï?ïÆ9<59DùlMÅ/ïEH4 >=9Dç?4 Eî3øvM
K s è<C<>FE'çÆë=48>=4 /2é[ë3î9[5Æë=939HE 9DùLM î3ø
M4 ï4 4r%/0é<;=5?4)þ©7ÿø*EH4F>=/2çÆ/09<> MAE [h- /#5Ô/2ùMeh
-
F > { 4 t~ [ . !< MAE -88R :I- . 1 ! $# E ?C`U
å ë=/0ï,EH4>>=/cç?/29[>*/0ïîFC<ïÆ4 E9[>Y èF>F9Dç 9[>Y/2ç?ïÆ46.2ùTþZl4§ê8/0.2.ïë=9BêçÆëCBçç?ë=/0ï,ï;Fæàì6C<> î4u5?4 EH;Fì64 EçÆ9'çÆë=4uï;Fæ 9DùÊç?ë=4u1BCD.0;=4 ïÿ9Dù 9<>ÅC'ì6465Æç?C</2>ÁïÆ4ç{9Dùï/0æÃ÷=.0/0ì64 ï MAE ¼è3ç?9 î4§EH4F>=4IE)î¤46.09BêYþ
&('*) &(.Q) &E)
,
,
8
0£F ÉúVIÐ @ ®]buw6y¶eT®]w IwId]V zÊ yTacv=PÉ}Ä3Ð @ ®[bÃÉk
ÐÑ yTacv)V6d3v & :L ) É6; ÐÆ É}`Ð @ ®]b'É k ÐÑ6yTacv V6d3v &L ) É6; ÐÆ z|{;}J~ p~ { # t~ ~ ,# (t{ M { {={=> >a > & >; qvh _VUE QRQ QWEGZf )EB: [q !)8b*: 8D : K
s 8 > ; 8 K LCq K s ?+C ?+ ? NOK ? U%' 'K N? N q ?rC
0q !)8b S1 N =< MAE b >*qLh4_;UERQ QRQbEf / : MAE NK
s C M K s E K s >Y9DçÆëF465Êê:9<5~E=ï è K s
/ï©ç?ë=4÷¤465?æ;Hç~CBç?/29[>Y9<îHç~CD/0>=4 E,ùú5?9<æ 'î3ø÷=/ì~í]/0>=é*P s CD>E,÷F;Hçç?/2>=é /cç§CBçuç?ë=4Ã46>FEÒ9Dùç?ë=4N9<5~EH4 5Æ/0>=éFþpl4ÃE=46>=9<çÆ4î]ø K sML çÆëF4ÃïÆ;Fì ì4 ï?ïÆ/21[4'CD÷F÷=.2/ì6CDçÆ/09<>Ò9Dù çÆë=4u9<÷¤465~CBç?9<5 K s K L þ # 9<çÆ4çÆëCBç8;=>=.0/2í[4çÆë=4YCD>CD.09<é<;F4EH4F>=/2çÆ/09<>Å9<>)çÆë=4ué[5Æ/E©è3çÆëF4 ÷4 5Ææ';Hç?CDçÆ/09<>Å÷=5Æ4IEH4 ì64 ï?ï9[5?ï:/ï{>=9Dç ì69<æÃæ;=ç?CBç?/21[4<èH/öþ4[þ K s(L < C K LGs þ å ë=4ùC<ì¼ç8ç?ëFCBç E nC MAE K s ëFC[ï:çÆë=4uùú9[.2.09Bê8/0>=éÃé<469[æÃ4çÆ5?/ì6CD. /0>]çÆ465?÷=5?4ç~CBçÆ/09<>: E u/ïçÆë=4 5?ïçuïÆ/0æ÷F.24¿9<;Hç~ï/EH4 M446>Fì69<;=>]ç?465?4 EÒê8ë=/2.04Ãé<9[/2>=éÅîFC[ì~í]ê{CD5~E*/0> EH/25?4 ìçÆ/09<>4q{ùú5Æ9[æD MAE þ:l4Ãì CD>l.2/2ù}çYçÆëF4 ïÆ4'ùú;F>Fì¼ç?/29[>FïY/0>[ç?9K
s !u ! !u ! /2>ÅçÆëF4>CBçÆ;F5?C<.©ê:Cqø[þ å ëF4,ùú9[.2.09Bê8/0>=éNEH4>F>F/cç?/29[>)/ïì5?;Fì6/0C<.ùú9[5{çÆë=/ï8÷FC<÷4 5 þ ç ïÆ÷4Iì/F4 ï ê8ë=/0ì~ë>=4 /2é[ë3î9[5Æë=939HE9<ùCÃïÆ/2æÃ÷=.04>ÅEH4ç?465?æ/0>=4Iï8/cç~ï{æÃ46æî¤465~ïÆë=/2÷/0>L-Nþ z|{;}J~ p~ ! ,# (J{ M;K$& B { DpGF &< v . =< Kl: > !% . . !<7MAE - -">.Sv . 8W/ : !8W ;># D MAE 0C _ MAE bf : J A MAE C J MAE x J MAE K ! @ G J Q
EH4>F>F/cç?/29[>Á9DùP>=46/0é<ë3î¤9<5?ë=9393ENùú9<5:é<5?/0E=E=ø÷¤9<.0ø3ë=4 E=5?C ò,4>F>=/2çÆ/09<>Åô è3ê8ë=465?4ç?ë=4,5?4 ì6;=5Æü ï/09<>Å9B1<4 5{E=/2æÃ46>ï/09<>Fï8ì CD>î¤4§EH9<>=4u/0>*CD>3ø9<5~EH4 5 è3ë=4 5Æ4çÆëF4Y9<5~EH465{/ï8/2æÃ÷¤9<5Æç?C<>[çC<>FE EH46÷¤46>FEFï89<>)çÆë=4Y÷¤465?æ;=ç?CBç?/29[>Êþ &, & L )) & &,& L )))021 & 1Q&,& L )))6043 &, & L¤ ))
& &,& L )))6043 & 1Q&,& L )))6021 1 &, & L )) 1Q&, & L¤ )) &, & L )) 1Q&, & L¤ )) 3&, & L¤ )) &, & L¤ )) 1Q&, & L )) 3&, & L )) 8
0£¤ = @ ®]b8\¶aWYX]zb?È BÑd[b~aI®DÄHw yT®[wBwDv[\w À©e¯wu\¶aWYX[zca`~b?\~
Ò4Y/0>]çÆ46>EÁç?9Nïë=9Bê çÆëFCDç . 1 ! $# E C . ! # 1 ! # E WQ z|{;}J~ p~ > {|{ # p~> >;> h : >;> <q pNm qLm L - &8 N'S' r :1)EB: !8W ;> &
D C : s A C s w_ \" q C qbfVQ H : \ ! s \U. > r D : - R )! : B *q
çÆë=48÷¤9<.0ø3ë=4 EH5?9<> s C . 1"! C<>FE.246ç2 s EH46>=9<çÆ48/2ç?ïì69<5?5Æ4Iï÷¤9<>EH/2>Féì69<.09<5ùú;=>FìçÆ/09<>Êþ %=9<584 1<4 5Æø K è"mK|m è=.04ç2J+MAE 8EH46>F9DçÆ4uç?ë=4§ý];FCD>]ç?/cçTø 2JMAE C . Z1 ! # @ GJ F > { 4 t~ N ~ #£{ ~l A ({ &JB 4 E 1 " =< B : =- " D : : s,G A >I0q?h_aqERQRQ QWEGZf 0 >:G J ! 4 E NK ! s # LC 4 E v>: <h s J ! 4 E NK ! s # LC 4 K ! s # E : Yh s 6 !%.WÒ9[5Æí3/0>=é,/0>§ç?ë=48ì939<5~EH/0>FCBç?4:ïÆøHïTç?46æ 9[>ê8ë=/ì~ë" /ïé<5?/0E=E=ø<èq/þ4<þ !A # CP !A # CD>FE" ! s # C P ! s # c P ! s,G A # ùú9<5*q !HèH/2ç8/0ï{4IC<ïÆøNçÆ9NïÆ464çÆëFCDç1 4 E 8CD>FE 4 E NK ! s # CD5?4Yî9<çÆëG/0>Fì.0;FEH4IE*/0>GCïÆC<æÃ4§46.046æÃ46>]ç~CD5?øÁî¤9 Åê8ë=4 > <h s è CD>FE*C<5Æ4Y/0>Fì6.2;FE=4 E*/0> çTêÿ9NEH/5¤4 5Æ4 >]ç ì9<>ï4Iì;Hç?/21[4,î¤9 H4 ï{/0>E=/25?4 ìçÆ/09<> q :ê8ë=46> Yh
s þ -,îFï4 5Æ13/0>=éNç?ëFCBçYCD>3ø*ï/0æÃ÷=.04> 4 E [h J MAE ï?CBçÆ/F4Iï $h @ G J è ê:49[îHç?C</2>Êè ùú9<58461[465?ø Kl *J A MAE C2J+MAE 2JM K !@ GJ # E # " { {$# t~K{=> & 8= : MAE *T 88R : -8 : : 8 )8. D : . ! :Y M ; !< .0^ D :; 8: D : . ! # 1 9 ! # E nC U úô+ 6 !%.W %F5Æ9[æ t#/ ê:4ëFCq1[4çÆëFCDç @ MAE Pì9<5?5?4 ïÆ÷9[>FE=ï¤çÆ9 . 1 $! $# E 6èICD>FEuëF46>Fì64
/cç/0>FEH/ì6CDçÆ4 ï:ç?ë=4Y4>3ç?5Æ4 æ/2çTøÁ9<ù'MAE ¼þ
ç§5Æ4 æÃC</2>ï ç?9*÷=5?9B1<4'çÆëFCDçCD>l4>3çÆ5?46æÃ4N÷¤9</0>[ç§/ïYC1<4 5ç?4>Gî3ø¿/0>FEH;ì¼çÆ/09<> 9B1[465[Fþ ,:C<ïÆ4$C3U/ï§/0ææÃ4IEH/0CDçÆ4î3ø CGïÆø3ïçÆ4 æNCBçÆ/ìN/0>FïÆ÷4Iì¼çÆ/09<> þ # 9BêYè ùú9<5 U<è MAE /0ïuç?ë=4N;=>=/09<> 9<ù C L@ G A MAE §CD>FE G C @ G A MAE K ! A # þ-,îFï4 5Æ13/0>=é)çÆëFCDç çÆë=4Iï4ÁçTêÿ9¿ïÆ4ç~ïC<5Æ4ÁïÆ46÷CD5~CBçÆ4IElî]ølë3ø3÷4 5ü°÷=.CD>=4 9<ù4 ý];FCDçÆ/09<>P !A # C,M !A # C<>FE çÆëFCDç8çÆë=4§ïÆ;=æû9<ù ,9<> CD>E G
æ';FïTç E=/#5 465Iè>M æ;Fïç8î4 .29[>=éÃçÆ9NCùC<ì64ç/0>Fì.0;FEH4IE /2>Ôþ >]ç?465~ì~ëFCD>=é[/2>FéFè /cù{>=4Iì4 ï?ï?CD5?ø<è CD>FE G èPC<ï?ï;=æÃ4çÆëCBçïÆ;=æ 9<ù$9<> /0ï U CD>FE$9[> G ¼þ43_;FïëF/2>=é*Cqê{CqøGì939<5~EH/0>FCBç?4"P ! A # è©çÆëF4ï;=æ 9DùS9<> 5?4 E=;Fì4Iï çÆ9*ç?ë=44>3ç?5Æ4 æ/2çTø ì9<>EH/cç?/29[>Ô/2> E=/2æÃ46>ï/09<>£c U<þ å ë=4/0>FEH;FìçÆ/09<> ë3ø3÷9<çÆë=4Iï/ï§ï?CqøHï çÆëFCDç M æ';FïTçî4 .29[>=éç?9)ïÆ9<æÃ4§4IEHé<4'.2/0>=4 C<5Æ.0øÅ/2>FE=46÷¤46>FEH4 >]ç9<ùÔþ¤ñ,ï,C)ì9[>Fï4Iý];=46>Fì64
> ç?ë=/0ïÁï4Iì¼çÆ/09<> êÿ4*EH4IïÆì65Æ/0î¤4Å9[÷4 5?CDçÆ/09<>Fï9[> çÆ/0æÃ4 E ÷¤9<.0ø]ëF4 EH5~C¿;ï/0>=élçÆë=44]ç?5Æ4 æÃ4 1<465ÆçÆ/ì4IïN5?46÷=5?4 ïÆ46>]ç?CDçÆ/09<>ÊèC[ïÆïÆ;=æÃ/0>=é EH/0æÃ46>FïÆ/29[> H4IE©èÿC<>FE ;FïÆ/2>=é6 ç?9 EH4 >=9Dç?4 5Æ4 ÷=5Æ4Iï4 >]ççÆë=4,>3;=æî¤465ÿ9Dù MAE ÷CD/05?ï_/2>Nç?ë=4,ì CD>=9[>=/ì6CD.¤EH4 ì69<æÃ÷¤9[ïÆ/cç?/29[>N9Dù:Ãè3ïTç?9<5?4 E /2>*ïÆ9<æÃ4 H4 EÅ9<5~EH465Iþ " { {$# . t{ ~ ({ t~> B. : D :Z ->D 8 >!: 8 : : : . :>8>D : U. D = = ! : 8 :\ 8= l1 : D .U%b I : " JI1!W8>D ;> 6 !%.W =C<ìçÆ.0øÁC<ï{/0> å ë=469[5Æ4 æ #=þ å
ë=4YçTê:9N9DçÆëF465 9[÷4 5?CDçÆ/09<>Fï>=464IEH4 EÅùú9[5çÆëF41<4 5Æ/ì CBçÆ/09<>9<ùç?/2æÃ4IEGCD;Hç?9<æNCBç~CNCD5?4 çÆë=4§÷F5Æ9T4 ì¼ç?/29[>)9<ùCç?/2æÃ4IE÷9[.2ø3ë=4IEH5Æ9[>)9[>YPsC Fè=ê8ë=/ì~ëì69<5?5Æ4Iï÷¤9<>E=ïÿçÆ95?4 ïÆ4çÆçÆ/0>=é CGì.09Hì~íl1BC<5Æ/CDî=.04ÃçÆ9Ò@64 5Æ9èPCD>ElçÆë=4)ùú9<5?ê:C<5?EÒç?/2æÃ4)ì69<>=4Áê8ë=/0ì~ë ì9<5?5?4 ïÆ÷9[>FE=ïuç?9GçÆëF4 4>5 4 ì¼ç{9Dù çÆ/0æ4÷FC[ïÆï?CDé[4ê8ë=/ì~ë/2>ì5?4 C<ïÆ4 ï:CD.0. ì.093ì~íÃ1BCD5?/CDî=.04 ï_;=>=/2ùú9<5?æ.0ø<þHñ,ïÿ/0>Áé[5Æ/E=EHø ÷9[.2ø3ë=4IEH5?Cê:4uê8/2.0.Ê;FïÆ4çÆë=4§ïÆ.2/ì/0>=éÃ9<÷¤465~CBç?/29[>Áùú9[5{çÆë=4§ì69<æÃ÷=;Hç~CBç?/29[>Êþ z|{;}J~ p~ X Td0 t{ @ a{=ap~ ~ " ,#£{ p~{ *>? = !:Z " :7 : > :ÒðZESF6 : " D :l J -qE!"+c J# 8=-. 1 Z : : = !: $ s % t1LC % MAE & J q !*)=8D : S0 11tvc U%b : : !: +-, s!t1LC _+P A ERQ QRQ ESPs,G A ESPps A E QRQRQGP @ n./" P A E QRQRQ ESPps^G A E0"ZEGPs A E QRQRQGP @ nh rf J n>b ! D U8: US0 >:Z : # ! : C`_ M4.= 7MYc bXhYrf å ë=4 ïÆ4u9<÷¤465~CBçÆ/09<>ï8CD5?4,/0.2.0;FïçÆ5~CBç?4 EÅ/2>Y%/2é[;=5?41*Hþ "
{ {$# # ( ap~£ F E{ @: a{=ap~ ~
" ,#6{ ~{ & ;>: D # ! : r J 8.p D : S . $ s %
1U8 :4U): U :7D <
J 8.p D : S +-, s t1 8 :$U/: 1D J 8.p D : S0 8 : -) : U R {V?&£ F ( F å ë=4 EH4F>=/2çÆ/09<>N9<ù $ s % 1/0>ÃçÆ4 5ÆæNï9<ù¤1[465ÆçÆ4>3ü°÷4 5Ææ';Hç?CDçÆ/09<>÷FCD/05~ï /0ï $ s %
t1LC4wN_ MAE VP s C"f]þV 46>Fì648çÆë=4,5Æ4Iï;F.cçùú9[.2.09Bêï/0æÃæÃ4 EH/CBç?46.0øùú5?9<æçÆëF4 /0EH4 >]çÆ/2çTø - OC 8ê8ë=/ì~ëG5?4 EH;ì4 ïçÆë=4'÷=5?9<î=.046æ/2>]ç?9K /2>]çÆ4 5?ïÆ4 ìçÆ/09<>Fï{9<ùì69<>=4Iï{ê8/cç?ëCë3ø3÷4 5ü°÷=.CD>=4[þ%=9[58461<4 5Æøq `C % 1 D 8 1"! $ s % 1WE
ë=46>Fì64<èï/0>Fì64î9<çÆë ÷F5Æ9T4 ì¼ç?/29[>ÔCD>FE ç?/2æÃ4Åì9<>F4ÁEH/ïTç?5Æ/0î=;Hç?4Á9B1<4 5Y;=>=/09<>Ôç?ë=46ø ì6C<> î¤4 ê85Æ/2çç?46>*C<ï +-, s!1C 1 D 8 1"! +-, s! $ s % t1
L Q L Q Q Q L Q L Q L Q &('*) &(./) &E) 3 & % ) 31 3 & % ) 3 & % ) 1 3 3 & % ) % 8 0£=
¤¿eTaWYb¼vXHwIzg<®]b¼vDyTwId ÉúVqÐÆ \¶wIWYbw6À=aeT\Ê\¶za`~b~\PV d]v,X[yTwÓ°b?`?eTawId]\_É}ÄHÐ V6d3v aeT\©À0w y¶¯Vyv eTaWYb{`?wId]bYÉ}`¼ÐÆ CD>FE C % 1 D 8 1"! $ s % t1 Q 35?9T4 ìçÆ/09<>Å9DùCNïÆ.2/ì4Iï/ï{çÆ5?/213/CD.CD>FE)çÆ/0æÃ4ì9[>=4§9<ùCNïÆ.0/0ì64Y/0ï 9<îHç~CD/0>=4 Eî3øÁ5?46÷F.0C[ì/0>=é 461<4 5ÆøN4 .24 æÃ46>]ç?C<5ÆøÁïÆ/0æ÷F.24Áî3ø)C'ùú9<5?ê:C<5?E)ì9[>=4<þ +ßA9[Øß× Û Ü8Ø=ÜÙ1 Ú_Ù
>Òç?ë=/ïY÷FCD÷¤465Iè©ê:4N/2>]çÆ5?9HEH;Fì64 ElC>=46êì6CD>F9<>=/ì6C<.5Æ4 ÷=5Æ4Iï4 >]ç?CBç?/29[>Òï?ì~ë=46æÃ4ùú9<5uç?/2æÃ4IE ÷9[.2ø3ë=4IEH5?CC<ïê:46.0.=C<ïC<.2é[9<5?/cç?ë=æNï ùú9[5÷4 5ùú9[5ÆæÃ/0>=éçÆë=4{9<÷¤465~CBç?/29[>Fï5Æ4Iý];=/25?4 E§ùú9<55?4 C[ì~ëHü CDî=/0.2/2çTøGCD>CD.0ø3ïÆ/ï,9<ùçÆ/0æÃ4 E CD;=çÆ9<æNCDç?C=þ å 9)ç?ë=4Ãî4IïTçY9<ùÿ9<;F5,í3>=9Bê8.04 EHé[4ç?ë=4 ïÆ4Ã5Æ4Iï;F.cç~ï CD5?4ÿ9[5Æ/0é</0>FCD.öþ å ë=4{5Æ4 ÷=5?4 ïÆ46>]ç?CDçÆ/09<>§9<ù÷¤9<.0ø]ëF4 EH5~C /ïC,êÿ4 .2.2ü°ïçÆ;EH/24IE÷F5Æ9[î=.24 æèBî=;HçæÃ9[ïç 9Dùç?ë=4'ì69<æÃ÷=;Hç~CBçÆ/09<>CD.é<469[æÃ4çÆ5?ø*CD>FE¿ï9[.2/E*æÃ9HEH46.0/2>Fé).0/cç?465~CBç?;=5Æ4/0ïuì9[>Fì4 5Æ>F4 E9<>F.2ø ê8/cç?ë).09Bê EH/0æÃ46>FïÆ/29[>FCD. ÷¤9<.0ø3ë=4 EH5~C æÃ9DçÆ/01BCBç?4 E)î]øì69<æÃ÷=;Hç?465{é<5~CD÷Fë=/0ì ï=9<5{ê8/2çÆëì9<>=ü 1<4> ÷¤9<.0ø3ë=4 EH5~CÔùú9[5)ê8ëF/0ì~ë C 1<4 5Æø >=/ì4¿çÆë=4 9<5?ø 4H/0ïç?ï þ # 9 ïÆ;Fì~ë ç?ë=469[5Æø 43/ïç)ùú9[5 >=9<>Hü¶ì9[>31<4>÷¤9<.0ø3ë=4 E=5?C ïÆ464[èHùú9<584HC<æÃ÷=.24[èÊðñ,óqõCD>FE)çÆëF4Y5Æ46ùú465?46>Fì64 ïÿçÆë=4 5Æ4 /2> ¼þ
å
ë=4ì6.29]ï4IïTçuê:9<5?í)ç?9)9[;=5~ï,ê{C<ï çÆëCBçY9Dù,ðñ ñ,ó *Hèñ,ñ óBõöè©ê8ë=/ì~ë¿ê:4ÃïTç?5Æ4 >=éDç?ë=46>=4IE CD>FEÁé<46>F465~CD.0/2@ 4 EçÆ9ÃCD5?î=/2çÆ5~CD5?øE=/2æÃ46>ï/09<>)/2>lð7{J 3ÿó<óqõÊCD>EN4>3çÆ4 >FEH4IEùú5?9<æ 9<5ÆçÆëF9<é<9<ü >FCD.]çÆ9ç?/2æÃ4 E'÷¤9<.0ø]ëF4 EH5~C/0>ç?ë=4{÷=5?4 ïÆ46>]ç÷CD÷¤465Iþ å ëF4_ùC[ì¼ççÆëFCDç>=9<>Hü¶ì9[>31<4>u÷¤9<.0ø]ëF4 EH5~C 9DùPC<5Æî=/2çÆ5~CD5?øNEH/0æ4 >FïÆ/29[>)ì6C<>Áî¤4u5Æ4 ÷=5Æ4Iï4 >]çÆ4 E;Fï/0>=éÃC üöùú9<5?æ;F.0CY/ï{>=9<ç:>=4 ê ïÆ464ùú9[5 4>=CDæÃ÷=.04 C§5?4 ì646>]ç_5?4 ïÆ;=.2ç_/2>Òð ó õî=;=ç:ïÆ9YùCD5ÿ9<>=.0øùú9[5_é[5Æ/E=EHøÃCD>FENçÆ/0æ4IEN÷¤9<.0ø]ëF4 EH5~C C'>CBçÆ;F5?C<.Êì6CD>F9<>=/ì6C<.ùú9[5ÆæàëFC<ï{î¤464 >Åùú9<;=>FEÊþ
Ò4Å/2>]ç?46>FE çÆ9l/2æÃ÷=.046æÃ4 >[ççÆëF/0ïÃ5?46÷=5?4 ïÆ46>]ç~CBçÆ/09<> ï?ì~ë=4 æ4CD>E /2ç?ïÃì9[5Æ5?4 ïÆ÷9[>FEH/0>=é CD.0é<9<5?/2çÆë=æNï èC[ïÃêÿ4GE=/0E ùú9<5Né[5Æ/E=EHø ÷9[.2ø3ë=4IEH5?CFèCD>FE çÆ9 ïÆ464ë=9BêûçÆë=4*÷¤465Æùú9<5?æNCD>Fì64 ì9<æÃ÷FC<5Æ4IïYê8/2çÆë 9<çÆë=4 54>H/ïTç?/2>Fé¿æÃ4ç?ë=9HE=ï6þñ.2çÆëF9<;=é[ë çÆë=4)5Æ4IC<ì~ëFC<î=/2.0/2çTø¿÷=5?9<î=.046æ ùú9[5 çÆ/0æ4IE C<;HçÆ9[æÃCDç?C /0ï)/2>]ç?5?C[ì¼ç?C<î=.04<è:÷=5?C[ì¼ç?/0ì CD.0.2ø[è_ç?ë=4ÒæNC<>=/2÷F;=.0CDçÆ4IE ÷9[.2ø3ë=4IEH5~C æÃ/2é[ë]ç
.24IC<E=ï:ç?9C'>F/0ì64,ç?ë=469[5Æø[þ
5 11 Ù1 × Ýl19
¢¤ÿnIR¥ ¤ ¤ÿ Z]azb?yV<ÿy¶eT®[wI wId3V6z=j wIzg<®]b¼vDyV[^BeTZ3v<uV d]v ¤_X]X[zca`¼VeTawId<jÊ®
@
®[b~\¶a\~
d]axqbÆyT\¶aeVeÿj wIzage¼|b~`~d]a`¼VYv<b UV6eV6zcZ[dBDV<]iV6yT`?b~zwId3VDF^<X]V ad
n nID
¢¤?¤:n Gb¥ ¤ ¤_IZ]azb?yV§V d]v >¤DV zcVDÿy¶eT®]w Iw d3V zÊj w zg[®[b¼v<yVYV6\ ¡ b~w WYb?e¶yTa`iPwIZ]d]v[\~ acdNUwId]\°e¶yTZ[`?eTaxqb ^<w za2v
¡
b~wIWYb?e¶y¶B½¶¸¼Ë H¸I¹²}µÁ¸¼µB´?¹²Ì
n n G ¢¤?¤:nIW¥ ¤ p¤ÿIZ[azcbÆyVNV d3v¤_DV6zcV<:wIW§V ad AÊÈDeTb~d[\¶acw d)À0w y eT®]b A©ÈDe¶yTb~WYb
t
b?y¶eTa`~b~\ TwDv[b~zÉA
t
TNÐ)V6d3v ^Db?e¶ÑWYb~WÄHb?yT\¶®[aX UzcV \¶\¶agf3`¼VeTawId½¶¸¼Ë ¸ ÌT±}½]Ë?±}²0Í ´ H¸I¹²úµ_´¶¸ ³Y´Æ±}½Æº I
n nID ¢¤!8n p ¥ E ;¤ÿzZ[yÿV6d3v,CÊ:aczz}¤ @ ®]b~w6y¶w6À @
aWYb¼vr¤_Z[eTwIW§VeV<"»]´¶¸ ½¶´Æ±}²úËT¾I¹# ¸ ³uÏ ·$D±´Æ½%3Ë?²´ÆÌHË´ k s Im'&<k m o nIn p ¢¤ÿnIR¥ E &¤ÿzZ[y¼ @ aWYb¼vI¤ÿZ<eTwIW§VeV< acd(!)*"#+Ï,)-./D³,³§´Æ½0HË»[¸¼¸ ¹=¸ Ì21]´Æ½²3ËT¾ ±}²}¸ Ì ¸54#6{²7 ²±¾I¹[¾ Ì3µ98:º;:?½²úµ9]º<±´Æ³=T
n nI8V d]v,ad> >6±0».Ì[±´Æ½ÆÌ3¾ ±}²ú¸ Ì3¾I¹? ¸ Ì@4¼´Æ½T´ÆÌ3ËÆ´ ¸ ÌA ¸ ³:·$D±´Æ½ÆÏB)_²}µB´¶µ21]´Æ½Æ²3PËT¾ ±}²ú¸ Ì[C{U^
~s
mImD=6Ñök kD=^DX[yTad] b?y¼
n nIn< ¢¤!Cn s ¥ E p¤ÿzZ[y¼¤V d]v E j DC8Z[yT\¶®]V d @ aWYad]¤_d3V zg<\¶a\,adFE OGIH¤S9J ¤ad E p¤ÿzZ[y¼ @ ¤ H
b~dK~ad[Ib?y V6d3v A©^DwIdBeV ÅÉAPv<\~ÐÆL8:º;:?½²úµ]º<±´Æ³==.M.M.C{U^ ¼r sIs
kIk r Ñök m F^<X<yTad]IbÆy¼ nIn s
¢¤ÿiNC%O©n GW¥ AJ¤ÿ\TV6yTadFBT)iPw K~IV<L¤NC8b?yTÄ<yV6e¼#,BTÃV6zcbÆy¼L¤ j dDZ[b~za:V6d3v$¤
E
V \¶\¶bI 8V6eVÑ°^Be¶yTZ]`?eTZ<yTb~\§Àw y'eT®]b
t
b?yTagf3`¼VeTawId w À @ aWYb¼v¤_Z[eTwIW§VeV<acdP,TÃV zb?y ÉAPv=ÐÆ$½¶¸¼Ë D8Q)!RQ"9S C{U^ k r< Hm pIs Ñm s r F^DX[yTad] b?y¼ nIn%GD ¢iFCj O nInW¥ ¡
6ib~®[yTW§V6d]dF'CuC¤VyT\¶b~d<T[6j b~V6yT\¶wIdFIUÿ¼Çb~a\¶bV6d3v{Ç 'U:aúALVY`~ab~dBe @ acWYb~v
E
b¼V6`Æ®]V Ä[aczageöY¤ÿd]V zg<\¶ac\ \¶acd[ÁUzwB`ÆÂ{aXW=b?yTb~d[`~b{acV yV6WY\~Y½¶¸¼Ë -?)Z1QS; ^<X[yTad[Ib?y¼
n nIn<
¢iTÃj nInW¥ , iw Z[yTd[b@KI, TÃV6zb?yuV6d3v|¤ j dDZ[b~zaúÿy¶eT®]w Iw d3V zPj wIzg<®]b~v<yV
E
b~X[yTb~\¶b?d[Ñ eV6eTawIdÁV d]vUwIWYX[Z[eV6eTaw d3ad
t
VIV6d3vDyV IbÆy8V d]vT[3x V dÁ^D`Æ®DZ[X]XHb~d)ÉAPv<\~ÐÆ 8{º :?½Æ²}µ[º[T±´Æ³]\# ¸ ³:·<±¾6±}²ú¸ Ìž ÌHµ ¸ Ì[±}½¶¸I¹+C8U^ o6s n< pqs Ñ s r H^<X[yTad[Ib?y¼ nIn n<
¢iTÃjLU8n%GW¥ T)Diw K?qV<,TÃV6zcbÆy¼¤ qj dDZ]b?zca}B^=<UwxDad]bIq^<w WYbjÊyTw yTb~\¶\acd,eT®]b_^D<W,ÄHwIza` t b?yTagf]`¼V6eTawId*w6À @ acWYb~vY¤ÿZ<eTwIW§V6eVD¤adF, ¡ yTZ]WÄHbÆyTÅÉA vFÐ=½¶¸¼Ë 9?)Z1QS G nÑ n r C{U^ k o6p =^<X<yTad]IbÆy¼ nIn GB
¢i mR¥ ¤ ]iPyTwId]v[\°eTb¼v=/)_Ì^.Ì[±}½¶¸¼µ[[Ë?±}²ú¸6Ì)±¸_ ¸ Ì]Í ´¶Î=_¸I¹º6±¸Æ·[´`T^<X[yTad[Ib?y¼
n Im< ¢Z @ U{n s ¥ Uÿ8V~¯\~;¤ :zaxqb?yTw<3^H @
yTaX3V ÂDa\~]V d3v'^=UPwx<ad[bI
@ ®]b @ wBwIzDa Q8OZJ,OG Dad E a¤ÿzZ[y¼ @ ¤ H
b~dK~ad] b?yPV d3vAq^<w dDeV6uÉA v[\~ÐÆ8:º :?½Æ²úµZ]º<T±´Æ³N.M.M.C{U^ ¼rIs s Fk r Ñ°k nDF^<X<yTacd[Ib?y¼ n n s
¢A n
o
¥
H
A v[b~z\¶Ä[yTZ[d]d[b?y¼Z¤ÿzIb?Ä[yV a`Yv<b~`~w WYXHwI\¶ageTawId]\8w6Àd[wId<Ñ`?wIdDxqb?ÈNXHw zg[®[b¼v<yVD=ad ½°¸¼Ë cbd6±0»=)_Ì]Ì]¾ ¹]º6³:·<¸<²e<³¸ Ìgf¤¸[DÌ3µq¾ ±}²ú¸ Ì_¸549 ¸ ³:·$D±´Æ½0HË?²ú´ÆÌHË´ÆDk p 6Ñ k o GBTazg¯V Z[Âqb~bI[ÇÔa\¶`~wId[\¶ad nIn o
¢CjYU{n GW¥ Cu¡ C¤VyT\¶b~d]j [j b?e¶eTb?yT\¶\¶wIdÃV d3v§Ç U{a} j jZ¤?¤'CadÃV,ÿZ[eT\¶®[b~zzúcH¸h4ƱBiP¾ ½T´ "H¸¼¸I¹Y4~¸6½"=´¶Ë»DÌH¸I¹¸j º"]½°¾ Ìk4¼´Æ½ l kB nIn GB
¢Cn GW¥ UÿÇ Cb?bI=^DZ]Ä=v[axDa\¶awIdNV6d3v @ yTa2V6d] Z]zcV6eTawIdw6À j wIzgDeTwIXHb~\~]acd T[A
¡
wBwDv[W§V6d V d3vmT<=n
E
w Z[yTÂqbÉA v[\~ÐÆ88¾ ÌHµ;:T¸¼¸ ou¸54#68²,ÆË?½¶´Æ±´¾6ÌHµp ¸6³:·$D±¾ ±}²ú¸6ÌH¾I¹L_´¶¸ ³Ï ´Æ±}½Æº6FU E UÔjÊyTb?\¶\~ n n GB ¢T C¤ H n n Ä¥FT[ITzzcbÆy¼!T[BCa`®BeTb~dDÄHb?yT[ H E J¤ÿd3v<b?yT\¶b~dFV d]v H H Z]zqV V6yv=/{aXW=b?yTb~d[`~b {b~`~a\¶awId{acV6 yV WY\~$½¶¸¼Ë #Lq%S;
nIn n< ¢^<nInR¥ Cu ^De¶yTb~®[zú
¬
dBeTb?yTxIV6z;{acV 6yV WY\@
¬
4~¸ ½"=´¶Ë»DÌ3¸I¹¸j º"]½¶¾ Ìk4¼´Æ½ l kD nIn%GD ¢Ç r r ¥ ÇV d]< ALVY`~ab~dBeY8VeV{^Be¶yTZ]`?eTZ<yTbÀw6y[Z]zzg,^D<WÄHw zca` t b?yTagf3`~V6eTawId,w À E b¼V zgÑ @ acWYb^<w6À0e¯V6yTb^D<\°eTb~WY\~ad¿^= ¡
yVÀÿV d3v T)Ê^<`®D¯V6y¶ejK~Ä]V `®ÔÉAPv<\~ÐÆY½¶¸¼Ë ")%?)-NS o GÑ oB CF8U^ G o =^DX[yTad] b?y¼3k rIr r