Implementation of Aerodynamic Computations with



    "!#"$
%& ' 
%(# ) "*,+,- .0/  ."
 &1 2 3 465798;: U˜?BÃ6Ã68X̖Q‚KÎPÐUW7T?JÎD46ÃR4R7cÐ8JÆS?$ÄGUWQFÈGKZ8JÊ ÈDAGUW79QF?;KZЫKZ4 SQ:TQAG5Q¨ÅQ79ED8ZKj= ÂhEDQ#O;8XMJQF:9AD46ADOÖQ IÈG?X7T4R8;AGU4RA 8JÈD:³5F?JU9Q#?B:TQ#79ED Q Ô L˜ÈDÃRQF:€Q IÈG?X7T4R8;AGUÆÉ8J:³58;ÅÊ ÄD:9Q‚U9U946ÎDÃRQ"46APMI4‘UT54‘KjÜNAD8;AZÊ^EGQF?X79Êa58JAGKDÈG5-7T4RADOðËGÈD4‘KDUF=˜ÂhEDQ‚UWQQ ;È>?X79468JA>U³?B:TQµKZ4‘UT5:TQ7946CQ‚K 8JAñ?ø5ÈD:TMP4RÃ646ADQF?J:U9ÄG?X7T46?JÖO;:94‘K¬Ì14R79E 79EDQ"?B4‘K¬8BÆ?79EG:9QFQÊ{Uc7V?BOJQ Ø ÈDADO;Q Ê @ÈZ7W7V?÷GAD4R79Q MJ8JÃ6ÈDŀQ@7946ŀQUW79QÄGÄD4RAGO«U95VEGQŀQ¨Ì14u7TEÖ?B:9794R÷>54‘?BÚKZ46UTU94RÄG?B798;:$ô Xö^=GÂhEGQ58;AGUW4‘KZQF:T?B79468JAµ8BÆ 5ÈD:TMP4RÃ64RAGQF?B:–OJ:T46KGU˜46A 7TEDQ Ó 8JÈG:946Q:xUc7V?BÎD46ÃR4R7cÐ ?BA>?BÃ6ÐPU9QFU˜8BƚKD 4 SQ:TQAG5QUT5VEDQFÅQ‚U˜QFADEG?JAG5Q‚U 58JA>UW4‘KZQ:V?BÎGÃRЀ7TEDQ¨58JŀÄDÃ6QßZ4R7cÐ 8BÆ?B:T46U946ADO?JÃRO;QÎD:V?B4‘5 QßZÄD:9Q‚U9U9468JAGUF= Ù U1?:9Q‚UWÈDÃR718Bƚ79ED4‘UÜ ÈDAI7946ÃIAG8X̬8JADÃ6Ш?1ÆÉQÌ 58JŀÄG?J:T?B7946MJQFÃRÐ@UW46ŀÄDÃ6Q–KZ4 sQF:9QFAG5QhUT5VEDQŀQFUš8JA5ÈD:TMP4RÃ64RAGQF?B:šOJ:T46KGU EG?zMJQ1ÎsQQFA ?BAG?JÃRÐPCQ‚KjàJ?@:TQMP46QÌ 8BÆS79EDQ‚UWQ Uc7TÈGKZ46QFUNų?zÐÎ>Q1ÆÉ8;ÈDAGK³46AÖô Xöa=Bò{A€79EDQ ÄD:TQFU9QAI7 ̖8;:9Ý"ÌxQÎD:T46QËGÐÄD:TQFU9QAI779EDQ€:TQFU9ÈDÃR7TU8BƖUW7T?JÎD46ÃR4R7cÐÖ46AIM;QFUW7946O;?B79468JAÖ8JÆN79EDQ³?JÎ>8XM;QŀQAZÊ 79468JADQ‚KÖ58;ÅÄGÃRQß"APÈDŀQF:94‘5?JÃ~ŀQ7TED8ZKÖÌ14R79EÖ7TEDQ?J46KÖ8BÆN8JÈG: ADQFÌ UWÐPÅÎ>8;ÃR4‘5 XAIÈGÅQF:94‘5?Jà ÅQ79ED8ZKµ46ÅÄGÃRQFÅQFAI79QFK"Ì14R79E ä¯åXæÉçDè ê åXæ^ë‹ìTåµíIîï =>ÂhEGQFU9Q¨:9Q‚UWÈDÃR7TU1?J:9Q@:TQÄD:TQFU9QAI7TQFK#ÎIÐ#? MJQ:TÐ@AD8JAI7T:946MP46?JÃ;46ADQ IÈG?JÃR4R7cШ46AIM;8JÃ6MP4RADO Î>8J79E79EDQ1?J:W7T4u÷>546?JÃIKD46UTUW46ÄG?B79468JA58PQÇ 546QAI7TU?JAGK ?"AIÈGÅÎsQ:8JÆhÆÉÈD:W7TEDQ:AD8JA>KZ4RŀQFAGUW468JA>?BØU94Rŀ46Ã6?J:94R7cЯÄ>?B:V?BŀQ7TQ:VU=š88JÈD:ÝIAG8XÌ1ÃRQ‚KZOJQ;Ü 79ED4‘U@46U 7TEDQ÷G:TUW7¨?X7W7TQŀÄZ7?B7QFÃRÈG546KG?X7946ADO#79EDQ€ Q sQ‚5-7¨8BÆh?B:9794R÷>54‘?BÃKZ4‘U9U94RÄ>?X798;:TU 8JAð79EGQ Uc7V?BÎD46ÃR4R7cÐ 8JÆ Ø ÈGADOJQÊ @ÈZ797T?÷GAD4R79Q¨M;8JÃ6ÈDŀQ7946ÅQ$UW79QFÄDÄD46ADO UT5VEDQŀQFUF= ÂhED46UÄG?BÄsQ:4‘U18;:9OI?BAD46CQ‚K#?;UxÆÉ8JÃ6ÃR8XÌUF=Dò{AÖâPQF579468J A DÜD̖Q$KDQFUT5:T4RÎsQ@79EDQ$79ED:TQQÊaUW7T?JOJQ Ø ÈDADO;Q Ê @ÈZ7W7V?µUT5VEDQFÅQÆÉ8J:¨APÈDŀQF:94‘5?JÃ)46AI79QFOJ:V?X79468JAð8BƖ7c̖8JÊaKZ46ŀQAGU9468JAG?JÃL˜ÈDÃ6Q:@Q IÈG?BÊ 79468JAGU³8;A 5ÈD:TMP4RÃ64RAGQF?B:³O;:94‘KDUF=Nò{AâPQ‚5-79468J A ãÌxQÎD:T4RQËGÐñÄD:TQFU9QAI7 8;ÈD:³ADQÌ U9ÐPÅÎs8JÃ6465Ê AIÈGÅQF:94‘5?JÃGŀQ7TED8ZK€ÆÉ8J:hUW7T?BÎG4RÃ64u7cÐ46AIM;QFUW7946O;?B79468JA€8BÆ~58JŀÄDÃ6Qß÷GAD4R79Q@KZ 4 SQ:TQA>5Q 8;:÷GAD4R79Q MJ8JÃ6ÈDŀQ@ŀQ79EG8PKGU?BAGKµKZQ‚U95:946Î>Q7TEDQ¨Ä>Q‚5ÈDÃ64‘?B:T4u7T4RQ‚Uh8BÆ)79EDQ$58JŀÄDÈZ7TQ:146ÅÄGÃRQFÅQFAI7T?X7T4R8;A 8BÆ8JÈG:˜Å€Q7TED8ZK Ì14R79E ä¯åXæÉçDè ê åXæ^ë‹ìTå í;îï = øQ ?JÄDÄDÃ6Ѐ8JÈD:xUWÐPÅÎs8JÃ64‘5-ÊaAIÈGÅQF:94‘5?JÃDŀQ7TED8ZK 798ð?ðUWÄsQF54u÷s5 ÷GAG4u7TQ#M;8JÃ6ÈDŀQ 7946ŀQµUW79QFÄDÄD46ADOðUT5VEDQFÅQµ?BAGKñKZQ:T4RM;Q 7TEDQµUW7T?JÎD46ÃR4R7cЬ58JADÊ KZ4u7T4R8;AÆÉ8J: 79EG46UU95VEGQŀQJ=SÂhEDQÄsQF5ÈDÃ646?J:94R7946QFU 8BÆ7TEDQ46ŀÄDÃRQFŀQAI7T?B79468JAÖ8JƘ?BQ:T8ZKZÐPAG?Bŀ4‘5 58JŀÄDÈD7T?X7T4R8;AGU¨Ì14R79E ä¯åXæÉçDè ê åXæ^ë‹ìTåðí;îï ?B:TQ³KZ46UT5È>U9U9QFKø46AñâPQF579468J A G=~ÂhEGQ³:9Q‚UWÈDÃR7TU$8BÆ ?BQ:T8ZKZÐPAG?Bŀ4‘5h58JŀÄDÈD7T?X7T4R8;AGUN?J:9Q1ÄD:TQFU9QAI7TQFKj=Bò{A«âZQF5-7T4R8; A ̖Q UWÈDŀų?B:T46CQx79EDQ :9Q‚UWÈGÃu7VU 8JÎZ7V?B46ADQFKµ?BAGKµO;4RM;Q?JAµ8XM;Q:TMP4RQFÌ 8BÆQßP79QFAGUW468JA>U1?BAGK«ÆÉÈD:979EDQF::9Q‚UWQ‚?B:V5VE= 

9ÁWÀjÁ{»

¿ º!#"%$'&ª¿1»P»(*)+N½N¼GÁc»-,!.

ÂhEDQ¨OJ8XM;Q:TAD4RAGOL˜ÈDÃRQF:1Q IÈG?B79468JAGUxÆÉ8;:h7c̖8JÊaKZ46ŀQAGU9468JAG?JÃj4RAPMP46UT54‘K#O;?JUxË>8XÌù?B:TQ¨5?;Uc746A 79EDQ@ÆÉ8;ÃRÃ68XÌ14RAGO€58JAGU9Q:TMX?X7T4R8;A ÆÉ8J:TÅ"Þ /10 /123

/54 Ñ 0 Õ /16 3

/%4 Ñ 0 Õ /17 8

ÑõÕ

ÿ-9

Ì1EDQ:TQ 6 ?BAGK 7 ?J:9Q Ò ?B:979Q‚UW4‘?BAµ58P8J:VKZ46AG?X7TQFUh?BA>K 0

:;

= C DD
= > 9 4 Ñ0 Õ 8 < =@? E =BA 8




C D

= >H? @ =@>1I

E

= > Y G
3 F

D

:; 9KJ Ñ 0 Õ 8

;

= ? @ =@?@>

C D D

< =@? Y  3 F EML =@?BI

Ñ Õ

õFÿ
 ÛQ:TQ 9 = 9 > 9 ? 9 A ?BAGK I KZQFAD8B7TQ«7TEDQ"ÄD:TQFUTUWÈD:TQJÜKZQFAGUW4R7cÐJÜ Ò ?J:W7TQFU946?JAóMJQFÃR8Z54R7cÐó58;ÅÊ Ä>8;ADQAIF 7TUFÜZ7T8B7T?JÃjQADQF:9O;Ð ?BGA K#7T8B7T?JÃjQAI79E>?BÃ6ÄIÐ;= Ó 8;:?ÄsQ:9ÆÉQF57O;?;U õ Ñ> Y ? Y Õ 9 I Ñ Õ F 9 A 8 OÑ NQP F õ Õ 3 3 8 A 3 = = Ì1EDQ:TQ N 46Uh7TEDQ¨:V?X794688BÆUWÄsQF54u÷>5@EGQF?X7VU= R Q7¨ÈGU 7V?BÝJQ³?JAð?B:TÎD4R79:V?B:TÐ5QÃ6Ã8BÆh5ÈD:TMP4RÃ646ADQF?J: O;:94‘Kj=SRQ7@79EDQ€MX?BÃ6ÈDQFU8JÆ 0 ?X7@79EGQ 5QÃ6Ã5QAI7TQ:Î>QKZQAD8J79Q‚KÎPÐ 0UTWV Üs?JAGKÃ6QY 7 X TWV ?JAG K Z TWV ÎsQ$79EGQ5QÃ6Ã)58JAI798;ÈD: ?JAGK"79EGQ 58JAI7T:98;ÃDMJ8;ÃRÈDŀQ1Îs8JÈDA>KZQFK³ÎPЀ58;A;7T8JÈDU : X TWV =IÂhEDQ LNÈGÃRQF:˜Q IÈG?B79468JAGU Ñ õ Õ 5?BA³ÎsQ Ì1:T4R7W79QFA 4RA"46A;7TQO;:T?JÃ>ÆÉ8;:9ŶÆÉ8J:17TEDQ¨:9QFOJ468J[ A Z TWV Ì14R79E"Îs8JÈDAGKG?B:T Ð X TWV ?JU / Ñ 4b
7 P J b
6 Õ 0bc6!b
7 /12#\]\-^ _a` 3edBf'_g` 8

ÿ L

Ñ Õ

ò{A 79EGQ :TQFU9ÈDÃu7x8BƚKD46UT5:TQ7T4RC‚?X79468JA³8JÆ Ñ  Õ ÌxQ 5F?BA 8;ÎZ7T?J4RA³7TEDQ@UWQFÅ4RÊ{KZ46UT5:TQ7TQQIÈG?B79468JA¯ô zö b Ñih TWVc0 Õ 0 3ej b
2 8

Ñ Õ

ÿ-9

Ì1EDQ:TQ h TWk V 46U79EDQ5QFÃRÃ)?B:TQF?DÜD?JAGKµ79EGQ8JÄsQ:V?X7T8J: :TQÄD:TQFU9QAI7VU?BAÖ?JÄDÄD:T8zßP46ų?X7T4R8;A«7T8 79EDQÎ>8;ÈDAGKD?J:9е4RAI7TQOJ:V?BÚKZQ÷GAGQFKÎPÐ#79EDQUWQ‚58JA>Kµ79j Q:TÅ,8BÆ Ñ  Õ = Ó 8J: QßD?BŀÄDÃ6QJÜG79EDQËGÈZß ÎG?BÑ?BAG5QÆÉ8J:h79EGQ 6 Å8;ŀQAI79ÈDÅ,58;ÅÄs8JAGQAI7146U1:TQÄG:9Q‚UWQFA;7TQFK«4RA Ñ  Õ ?JU / Ñih TWk V =@> Õ n Ñ V =
> V 7 V V Õ /12 3 pV o l j m 3rq F 8

H

Ì1EDQ:TQ79EDQ@ËGÈDß#MJQFÃR8Z54u7cÐ

ÿ-9

ÑisIÕ

gÑ uJÕ ?BAGK 79EDQ@U9ÈDÅ 4RA ÑisIÕ 4‘U–8XMJQ:–ÆÉ8JÈG:xU946KDQFUx8BÆ7TEDQ@5QÃ6Ã^ÜPU9QQ Ó 4RO>=>õ;=ZÂhEDQ MX?JÃRÈDQ‚U 6 V ?JAGK q 7 V 4RA Ñis;Õ ?BAGK ÑguBÕ ?B:TQ¨7TEDQ46AG5:TQŀQFA;7VU 8JÆ 6 ?JAGK 7 ?BÃ68JADO#UW4‘KZQwv8BÆ79EGQ5QFÃRÃ^ÜsÌ14u7TE q ?BÄDÄD:T8JÄG:94‘?X7TQ U94RO;AGU=DL–?J5VE;È>?BAI794R7cг4RA ÑisIÕ ?BAGK ÑguJÕ UWÈG5VE"?JU > Y 8J: Ñ =@> Õ Y 46UhQFMz?JÃRÈ>?X79Q‚K ?JUx79EGQ$?zMJQ:V?BO;Q 8JÆ~79EGQ¨Mz?JÃRÈGQFUh46A#7TEDQ$5QFÃRÑU18;A«7TEDQ@7c̖8³U946KDQFUh8BÆ)79EGQ@Ƌ?J5Q;Ü õ Ñ Õ Ñ =@> Õ Y ÑizIÕ ô =@> TWV Ñ =@> Õ Tyx H k V ö 8 3 L ÂhEDQµUT5VEDQFÅQ ÑisIgÕ {SaÑ z;Õ :9Q‚KZÈG5QFU798ã?ð5QAI79:V?BÃhKZ4 sQF:9QFAG5Q"U95VEGQŀQ#8;A ? Ò ?B:979QFU94‘?BA OJ:T46KjÜ~79EDQF:9QÆÉ8J:TQJÜ4R74‘UU9QF58JAGKã8;:TKDQ:?;55ÈG:T?B79Q³46AóUWÄG?;5Q;= Ù U46UÝPAD8XÌ1AÜj7TEDQ#U9QF58JAGKZÊ 8J:VKZQ:µU95VEDQFŀQFU#ÄD:98ZKZÈ>5QðU9ÄDÈD:T468JÈGU«8;UT546ÃRÑ?X7T4R8;AGU 8JÆ$79EDQøAPÈDŀQ:T465F?BÃUW8;ÃRÈZ7T4R8;A?X7µ79EGQ UWED8Z5VݳÌh?zMJQ1ÆÉ:T8JAI7VUx?JAGK 46A#79EDQF4R:hMP4654RAG4u7cÐ;=Iò{A#79EG46Uh58;ADADQ‚5-79468JA#4u71Ìh?JU–ÄD:T8JÄs8;U9QFK 46Aðô zö 7984RAI79:T8ZKZÈG5Q 7TEDQ¨?B:9794R÷>54‘?BÃSKZ4‘U9U94RÄ>?X79468JA«79QF:9ųUx4RA#79EGQ ÷GAG4u7TQM;8JÃ6ÈDŀQUT5VEDQFÅQ46A«8J:VKZQF: 798óKD?JÅÄ 7TEDQ¯U9ÄDÈD:T4R8;ÈGU€8;UT546ÃRÑ?X7T4R8;AGUF=NÂhEDQFU9Q"79QF:9ųU ?J:9Q?JKGKZQFK 798¬Q IÈG?X7T4R8;A Ñ  Õ ?;U ÆÉ8JÃ6ÃR8XÌUFÞ b
0 Ñ 0}| h TWk V ~ Õ P 0 iÑ IÕ ÿ 9 € j

V

b
2 3

8tq

7@V > V P 61V ? V q

j

8

Ì1EDQ:TQ  46U?KZ46UTU94RÄG?B7946MJQ€8JÄsQ:V?X7T8J:@7TEDQ Uc7T:9È>5-79ÈG:9Q³8JÆhÌ1EG465VEã4‘U$UW46ŀ4RÑ?B:$ÆÉ8J:¨QF?;5VEã8BÆ 79EDQ@ÆÉ8;ÈD:KZQÄsQA>KZQAI7MX?B:T46?JÎDÃ6QFUFÞ  0 Tyk V 8

]‚ 0 Tyk V 3

]ƒ 0 TWk V 9

Ñ õFÿ Õ

õFÿ„ … †‡‰ˆŒ ‡ Ž … †‹Š ‡ +‡ ˆ

Ž 

ž Ž ƒ

… †'‡ ˆ Ž

… †Œ ‡ +‡ ˆ

‡

… †‡‰ˆ}Š ‡ #‘“’ ¦•”I¦ rtIf1oVfV]X`cfTlcfV“_{oWtIfVm¨f‚†

Ì1EDQ:TQ

Ñ õ | h WT k V ÕÑa– yT x yH —9Y k V ˜ P – šT ™ kV Õ 9 yH —TY ]ƒ 0 Tyk V Ñ õ | h WT k V ÕÑi– Tyk Vpx +H —TY  P – Tyk V'™ Õ yH —9Y 8

]‚ 0 Tyk V

?BAGK

Ñ õJõ Õ Ñ õ Õ

8

Yyž Hy—TY k V 8 Ñih yT x yH —9Y k V |•› Õ ô œBTy x H+—TY k V Ñ 0 Tyx H k V P 0 Tyk V Õ P œ Ty x ž k V Ñ 0 Tyx k V P  0 Tyx k V Ñ õ Õ Y H 3  0 Tyk V P 0 Tš™ H k V Õ ö9 yH —9Y l õ Ñih h Tyx h Tyx k V Õ Tyk V kV H L yH —9Y 8 3 ÂhEDQwIÈG?JAI794R7cÐ › 46A¯ÆÉ8;:9ÅÈDÃ6? Ñ õ  Õ 46U 79EGQ7T4RŀQ€Uc7TQÄø8BÆN7TEDQ€APÈDŀQ:T465F?BÃ)ÅQ79ED8ZKj=ÂhEGQ 58PQÇ 546QAI7VUKœ  Yyžx?BAG K œ  ž–?J:9QMX?B:T46?JÎDÃRQ;ÜP79EDQFÐ#?J:9Q@?JKD?JÄZ79Q‚K#79879EDQ@Ë>8X̨= Ô Q÷GADQ Ñ õ  Õ Tyx k V l P Tyk V Tš™ k V | Ñ Tyx k V Tyk V Tš™ k V Õ Ÿ Tyk V H H H H – Tyx

ÂhEDQA œBTy WY x ž

8*  F

F

3GF

 

 F

 3

 F

  3t  F

  L

ų?Xß Ñ ÿ€9 Ñ  ž£P œBTy WY x ž k V Õ9Õ Ñ õ Õ  WY ž ų?Xß Ñ Ÿ Tyx H k V 9 Ÿ Tyk V Õ 9‹œBTy x ž k V kV         ¡ yH —TY 8¢¡ Hy—TY 8 Hy—9Y L l l ˜ÐPÄD4‘5?JÃ)MX?JÃRÈDQ‚U8BƘ7TEDQ€58JA>Uc7V?BAI7TU  Yyž ?BAGK  ž ?B:TQ#ô zö  Yyž õ | €9  ž õ | c s = ¡ ÂhEDQ«MX?BÃ6ÈDQ‚U – Tyk V ¤ yH —9Y 46A Ñ 'õ Õ ?J:9Q ¡ 58JŀÄDÈZ7TQFKó U9l 4Rŀ46Ã6?J:9Ã6Ðð79¡ 8 Ñ õ8 Õ{SÑ õ Õ àj¡ ÆÉ8Jl :8QßD?BŀÄDÃ6QJÜ h Tyk Všx Ñ õ | ÕÑih Tyk V h Tyk Všx H Õ = +H —TY ÂhEDQ7T8 4RŀQ€Uc7TQÄDÄG4RADO"3 UT5VEDQŀQ?JÄDÄD:T8zßZ4Rų?X7T4RAGO QIÈG?B79468JA Ña;Õ 46U@58JAGUW79:TÈG5-7TQFKÖ?;U ?JA QßZÄDÃ64654u717TED:9QFQÊ{Uc7V?BO;QUT5VEDQŀQ@8BÆ)79EGQ Ø ÈDADO;Q Ê @ÈZ7W7V?7cÐPÄsQ³ô Jö^Þ 0  ¥ ž 0 ¦ à 0  H‰ž ! 0  ¥ ž P¨§ › Ña©~ª 0  ¥ ž P 0 H 8 8 0  YWž 0  ¥ ž P¨§ › aÑ © ª 0  H‰ž P 0  ¥ ž Õ à 0  « ž 0  ¥ ž P › Ña© ª 0  YWž P¨ 0  ¥ Y 8 8 Ñ Õ ™ 0 0 6 7 2 2 2 › › Ì1EDQ:TQ ¦ 9 9 Ü 9}¬ õc9­9 9 2 ÿ€9 › H Ñ õ | h TWk V Õ 0 8 TWk V ÜG?BA>K § ¦ H 9 § Y ¦ ?J8:9Q79¦ EGQ¨AD3 8JAGKD¦ 4RŀQA>8 UW468JAG?JÃj̖LL QFL 4RO;EI7h¥ Ä>8 ?B:V?BŀQ¦ 7TQ:V8 U= j

 ¥ ž Õ à ž Õ 9 Ñ õ sIÕ

à ©~ª 0 8

õFÿ@ ¯K°.²±¨½WÁ9ÀH$'³ª¿!.´"¼GÁ9À%(µ·¶¸"j»-,½1¾º¹V½N¼¢¯–»(µ± Á+9Á{»„° ®

¹Iº»U"£¼;»ZÁ+#()»DÁc½˜º

ò{A$79EGQx5F?JU9Q–8JÆGKZ 4 SQ:TQA>5QhU95VEDQFŀQFU)8JA5ÈD:TMI46Ã64RADQ‚?B:)OJ:T46KGU7TEDQxKD 4 SQ:TQAG5Q–Q IÈG?X7T4R8;A58PQÆÊ ÷>546QAI7TUh?JÃ6U9858JAI7T?J4RA«79EDQ¨58I8;:TKD4RAG?B79Q‚U˜8JÆ79EDQ¨5ÈD:9MP46ÃR46ADQ‚?B:xOJ:T46K«AD8ZKZQFUF=PòaƚÌxQ}½BÆÉ:9QFQCQ½ 79EDQ58;ŀÄ>8;ADQAI7TU€8JÆ 7TEDQUW8;ÃRÈZ7T4R8;A M;QF5798J: 0 4RA 7TEDQKZ 4 SQ:TQA>5QU95VEGQŀQµ58PQÇ 546QAI7TU 79EDQFAµÌxQ@8JÎZ7V?B46Aµ79EDQ¨Ã64RAGQF?B:T46CQFK#KZ4 sQF:9QFAG5Q$UT5VEDQŀQ x

0¦

H

Ñ 6 9 7 9 0 Õ 0!¦ 9

8t¾

Ñ õ uJÕ

¥

Ì1EDQ:TQ 0 4‘U17TEDQ¿½BÆÉ:98;CQAH½U98JÃ6ÈZ7T4R8;AMJQF5798;:F=GÂhEGQKZ4sQF:9QFAG5Q8JÄsQ:V?X798;: Ñ 6 9 7 9 0 Õ 46A Ñ õ uJÕ 46U¨5F¥ ?BÃ6ÃRQ‚K79EGQ Uc7TQÄø8JÄsQ:V?X798;:FÜS?BA>K¯4R7TU¨UW79:TÈG5-7TÈD:TQ€KDQ79QF:9ŀ46ADQFU7T8?«¾ Ñ?B:TOJQQßP¥ 79QFAI7 79EDQ$UW7T?JÎD4RÃ64R7cÐ ÄD:T8JÄsQ:97946QFUh8BÆKZ4sQF:9QFAG5Q@ŀQ7TED8ZKj= ò{AÌ1EG?B7#ÆÉ8;ÃRÃ68XÌU«ÌxQø4RAPMJQ‚Uc7T4ROI?X7TQÖ79EGQãUW7T?JÎD46ÃR4R7cÐÍ8BÆ7TEDQãKZ 4 SQ:TQA>5Qø4RAD4R794‘?BÃRÊaMz?JÃRÈGQ ÄD:98;ÎDÃ6QÅ 0 ¦

x

H

8À¾

Ñ 6 9 7 9 0 Õ 0 ¦ 9S¬

ÿ€9õ
9W9 8

¥

L LL

à

0 ¥

8tÁ ¥

Ñ 6 9 7 Õ 9 PYÂÄÃ 6 9 7 ÃÀÂ 9 Ñ õ zIÕ

Ñ 6 9 7 Õ 4‘Uš79EDQ–OJ46MJQFA$4RAG4u7T46?JÃP58JAGKD4u7T4R8;A?X7 2 ÿD=ðQh?BÄGÄDÃRÐ7TEDQ–M;8JA Ú QÈDų?JADA Ì1EDQ:TQ Uc7V?BÎD46ÃR4R7cÁ Ð ¥ ?BA>?BÃ6ÐPU94‘UNÄD:T8Z5QFKDÈD:9QôuõöSÆÉ8J:h8JÎZ7V?B46AD46ADO$7TEDQ 8 AGQF5Q‚U9UT?B:TгUc7V?BÎD46Ã64u7cг58;AGKZ4R79468JA#8BÆ Ñ Õ KZ 4 SQ:TQA>5QÄD:T8JÎGÃRQFÅ Ñ õ z;Õ =Jò{A€7TED46U–ÄD:T8Z5QFKDÈD:9Q;ÜJ?X7˜÷G:TUW7N7TEDQ Ó 8JÈD:T4RQF:˜U9ÐIÅÎ>8;ÃHÅ 8BÆ)79EDQ$UW79QFÄ#8;Ä>QF:T?B798J: 4‘Uh8JÎZ7V?B46ADQFKj= ٠ƍ79QF:179EG?B7179EDQ$5VE>?B:V?J5-7TQ:T46UW794‘5 QIÈG?X7T4R8;A 8Æ ¾ ¾

KZQ7 ÑaÇHÈ·P Å Õ

n 8ÊTyÉo

™-T

T Ç É

¥£Ë

Ñ õ IÕ ÿ

8

46U³58JŀÄDÈZ7TQFKjÜÌ1EDQF:9Q[Ì ã4RA 79EGQÖ5?JU9Qµ8BÆ 7TEDQLNÈDÃ6Q:³U9ÐZUc7TQÅ 8JÆ QIÈG?B79468JAGU Ñ õ Õ Ü Ñ Õ Üs?JAGK È 46U79ED¿ Q ÌÎÍGÌ8 4‘KZQFA;7T4u7cÐ"ų?X7T:94Rßj=>ÂhEDQMJ8JA Ú QÈDų?JADAÖADQ‚5QFUTUT?B:TЫUc7V?BÎD46Ã64u7cÐ 58JA>KZ4u7T4R8;AGUx79EGQA":9Q‚?JK  

ÇHÏ

 BÐ

õ

3rÑ

ћ Õ 9 §

8

õ
9

L LL

9+Ì L

Ñ Bÿ Õ

ÂhEDQFU9Q158JA>KZ4u7T4R8;AGU?B:TQx?JÃ6U98@UWÈZÇ 54RQFA;7ÆÉ8;:NUc7V?BÎD46ÃR4R7cШ8BÆ>79EDQKD4 SQ:TQAG5Q Ò ?BÈG5VEPШÄD:T8JÎDÃ6QÅ Ñ õ zIÕ 4RAµ79EGQ$5?JU9Q@8BÆ?€AD8J:Tų?BÃS8J:KZ4‘?BO;8JAG?JÃR46CF?JÎDÃ6Q?JÅÄGÃR4R÷>5?B79468JAµÅ³?X79:T4RßQÅ ô zöa= × ADQ15?BA³U9ED8XÌó7TEG?X7˜79EDQUW79QFÄ8;Ä>QF:T?B798;: 8JÆ>7TEDQ1Ã64RADQ‚?B:T4RCFQFK÷GAD4R79QM;8JÃ6ÈDŀQ1U95VEDQFŀQ 58J:T:TQFU9Ä>8;AGKZ46ADO7T879ED:TQQÊaUW7T?JOJQ Ø ÈDADO;Q Ê @ÈZ7W¾7V?UT5VEDQFÅQ Ñ õ s;Õ EG?;Uh79EGQ@ÆÉ8J:TÅ ¾8

ÈÒP ¿ § Ñ ›w©~Ó ªPÕ Y ¨ P § § Ñ ›w©µÓ ªIÕ « › ©~Ó ª Y H Y 3 PÔ§ § › « © Ó ª Y  Ó § › Y ©µÓ ª Õ Ó P ›] Ó 9 H Y Y 3

Ñ Zõ Õ

Ì1EDQ:TQ ©µÓ ª ?BA>K  Ó ?J:9Q79EGQÃ64RAGQF?B:¨KZ4SQ:TQAG5Q8;Ä>QF:T?B798J:VU 8JÎZ7V?B46ADQFKð?JU?«:TQFU9ÈDÃR78JƘ79EGQ ÃR46ADQF?J:946CF?B79468JA$8JÆG8JÄsQ:V?X7T8J:VU ©µª ?BAGK  4RA Ñ õ s;Õ =‚ÂhEDQh?BŀÄDÃ64R÷>5?B79468JAų?B79:T4ußÒÅ 8;ÎZ7T?J4RADQ‚K ÎIÐ 79EDQ Ó 8JÈD:T4RQF:h79:V?BAGUWÆÉ8J:Tų?X7T4R8;A«8BÆ)8JÄsQ:V?X7T8J: Ñ Zõ Õ EG?JUx7TEDQ@ÆÉ8J:TÅ Å

¾

Ñb H h 3 § § Ñb h H Y H 3 3 § › Y b Ñb h Y 3 « H 8

È

3

b

YÖ Õ 3 § Y Ñ b H h 3 b Y Ö Õ Y Õ § § › « b Ñb h ÕY b b Y Ö « 3 H Y « H 3 Y Ö Õ b b È 9 3 Y Ö 3 «

Ñc Õ

õFÿ s Ì1EDQ:TQ Æ

Ñ+P › ©~Ó ªPÕ

b h

H

8 b

H 8

3

3 3 3 b

Y 8 3 3 b

3 « 8 3

YÖ Ü Æ Ñ‰P › #Ó Õ 8 b « È Ü

b

P › ô Ñ 7'Tyx H k V P 7•Tyk V ÕÑ 58IU-× Y P¨Ø UW46A‹× Y Õ h WT k V Ñ 7 Tyx H k Vpx H P 7 Tyx H k V ÕÑ 58;U-× H Ø U94RA‹× H Õ 3 Ñ 7 Tyk Všx H P 7 Tyx H k Vpx H ÕÑ 58;U-× Y Ø U94RA× Y Õ 3 Ñ 7'Tyk V P 7'Tyk Všx H ÕÑ 58;U-× H PÙØ U94RA‹× H Õ ö9 P › Ñ „ Õ ô Ñ 6 TWk V P 6 Tyx H k V ÕÑ 58;U-× Y P¨Ø U94RA‹× Y Õ h TWk V Ñ 6 Tyx H k V P 6 Tyx H k Vpx H ÕÑ 58IU× H Ø UW46A× H Õ 3 Ñ 6 Tyx H k Vpx H P 6 Tyk Všx H ÕÑ 58;U-× Y Ø U94RA‹× Y Õ 3 Ñ 6 TWk Vpx H P 6 TWk V ÕÑ 58IU× H P¨Ø UW46A‹× H Õ ög9 ‚ Ñ 58IUB× P ÕµP „œ ‚DÑ 58;U× P õ Õ Y œ YG H H ƒ Ñ 58;UB× P Õ~P cœ P ƒ Ñ 58;U× P õ Õ Y œ YZ Y Y l L 4RA Ñ c Õ :TQÄD:TQFU9QAI779EDl Q€:TQF?BÃÌh?zMJQFAIÈGÅÎsQ:VU 46Aø79EDQ Ó ;8 ÈD:T4RQF: Ç ¦-Ü'Ý  T+Þyß+x£V­Þ‰à Vž Ü Ø P õc9 58;AGUc7F= h ?JAGK Ö ?B:TQ 8ÛÚ ¥ Ú ¥ 8 Ñ 8ÛÕ á

ÂhEDQ€Mz?J:94‘?BÎGÃRQ‚ U × H ?BAG K ×Y GÄ ?B:9794‘5ÈDÑ?B:U98JÃ6ÈZ7T4R8;A 0 TW¦ V 79EDQÒâI?J58JÎD4Sų?X7T:94‘5Q‚Uh8JÎZ7V?B46ADQFK#ÆÉ:T8JÅ ÆÉ8;:9ÅÈDÃ6?;U h 8

/54 Ñ 0 Õ 9 /10 Ö

8

Þ

/ J Ñ0 Õ /10 L

Ñ • Õ

ÂhEDQ¨58PQÇ 5 46QAI7VUœ Y ‚ 9+œ ‚ +9 œ Y ƒ 9‰œ ƒ 46A Ñ „ Õ ?J:9Q8JÎZ7V?B46ADQFK#ÎPЀÆÉ:9QFQCF4RADO79EGQ@58PQÇ 5 46QAI7TU œ TW yY ¤ ž k V 9‰œ TW ¤ ž k V 9‰œ Ty YWk V ž ¤ 9‰œ  ž 4RAµ79EGQ@ÆÉ8J:TÅÈDÑ?JUx8BÆ?B:9794R÷>546?JÃKZ46UTU94RÄG?B798;:FÞ l Hy—9Y WT k Všl¤ Hy—TY +H —TY +H —TY l l œ Y‚ œ@TW yY ¤ ž k V 58JAGUW79㜠‚ œBTW ¤ ž k V 58JA>Uc7 9 8 8 +H —TY 8 Hy—TY 8 l Y y ž ž Ñ c Õ œ Yƒ œ  58JA>Uc7 9㜠l ƒ œ Ty k Vš¤ 58;AGUc7 8 TWk Vš¤ Hy—TY 8 8 H+—TY 8 L l

ZK QFUT5:T4RÎsQU98JŀQ$ÄsQF5ÈDÃ646?J:94R7946QFU l 8BÆ7TEDQU9ÐPÅÎs8JÃ646558JŀÄDÈD7T?X7T4R8;AGU 8BÆ79EGQ QAI79:T4RQ‚U$8JÆx7TEDQ#?JŀÄDÃR4R÷>5F?X79468JA¬Å³?B79:T4uߘŠÑ
Õ Ì14R79E ä¯åBæçGè ê åXæ^ë‹ìVåãí;îï =š8¯UT?zMJQ€79EGQ ADQQ‚KZQFK³Å€QFÅ8;:9г?B7˜79EG46UxUc7V?BO;Q̖Q?X7–÷G:TUW7xU9ÈDÎGUW794R79ÈD79Q7TEDQQAI79:T4RQ‚UN8JÆŀ?B79:T465QFU h ?JAGK Tyk V 9 Tyk V šÜ ì
9Wv õ 9 9y
Ö ?;U~äBå%æ ç YVH Ü èBé-ê 8ë « ÜzQ7T5B=6ÜXÌ1EDQF:9Q–Ì–Q–EG?zMJQxKZQAD8J79Q‚K$ÎPÐ ç 79EDQ QAI79:T4RQ‚8 U˜8JÆų?X79:T4‘5QFU h ?JAGK Ö ÜP:TQFU9Ä>Q‚5-7T4RM;QÃ6ÐJc= øQ÷>AGK³7TEDQ:TQF?Bƍ79ë Q:˜79EDQQßZ8 ÄD:TQFUTLU9L 4R8;L AGU ÆÉ8J:h79EGQ ÷>:TUW71:98XÌ 8J~ Æ Å ÎPl Ð :9QFÄDÑ?J546ADí O äBîcï ?JAG K è-î
ï³Ì14R79Eµ79EGQ46:UWÄsQF54u÷>5QFA;7T:946QFU158J:T:9QÊ UWÄs8JAGKD4RADO79879EDQO;?;U9KDÐIA>?Bŀ46! 5 â;?;58JÎG4Gų?X7T:94‘5Q‚U h ?BAGK Ö Ñ 79EDQQßZÄD:TQFUTUW468JA>UÆÉ8J:–79EGQFU9Q ŀ?B79:T465QFUhų?zÐ ÎsQ@ÆÉ8JÈDA>K#46Aãô Bö Õ = ÂhEDQh÷G:VUc7N:T8XÌ QFÃRQFŀQAI7TUÄG:98XM;Q–7T8¨Î>Q79EDQ1ÆÉÈGAG5-7T4R8;AGUN8JÆs7TEDQ 58JŀÄ>8;ADQAI7VU8BÆs79EDQ UW8JÊ ÃRÈZ7T4R8;A³MJQ‚5-798;: 0 4RA Ñ Õ ÜX79EDQ AD8JAGKD4RŀQA>UW468JAG?JÃDÄG?J:T?JÅQ79QF:TU Ñ
 Õ ÜJ?BAGK7TEDQ KZ46ŀQAGU9468JAG?Jà ;È>?BAI794R7946QFU RQ7ÈGU AD8XÌ

h Tyk V 9 6 Tyk Vpx P 6 Tyk V 9 7 TWk Vpx P 7 TWk V 9 6 Tyx k V P 6 Tyk V 9 7 Tyx k V P 7 TWk V H H H H L

ò{A8J:VKZQ:h7T8 ų?BÝJQ@7TEDQ$:TQFU9ÈDÃR7TU18JÆUW7T?JÎD46ÃR4R7cÐ#?JAG?BÃ6ÐZUW4‘Uh4RA>KZQÄsQAGKDQAI7 Îs8B7TE8BÆN?³UWÄsQF54u÷s5 5ÈD:TMP4RÃ64RAGQF?B:1O;:94‘K"?BAGKµ8JÆ)7TEDQ¨7T4RŀQUW79QFÄ › 4R74‘UQßP7T:9QFÅQFÃRÐ#4RŀÄs8J:97T?JA;717T8³QßZÄD:TQFUTUh79EGQ

õFÿ u QAI79:T4RQ‚U8JÆ)7TEDQ?JŀÄDÃR4R÷>5F?X79468JA"ų?X7T:94RßGÅ 4RA"7TQ:TŀU 8BÆ7TEDQ$AD8;AGKZ46ÅQFAGU94R8;AG?BÃ)UW46ŀ4RÑ?B:T4u7cÐ gÑ ñóò õ Õ =Fòa7š79ÈD:TAGU)8JÈD7~79E>?X7š46A$7TEDQ–5F?JU9Q˜8JÆZ79EDQ Ø ÈDADO;QÊ @ÈZ7W7V? ÄG?B:V?BŀQ7TQ:VU H 9 9 ð ÷GAD4R79Q@MJ8;ÃRÈDŀ¡ QŀL QL 79L EG8P¡1K# KZQ÷>ADQFK#ÎPгQ IÈG?X7T4R8;AGU Ñ õ‚ÿ gÕ {jÑ õ s;Õ 4R7146UhU9ÈZÇ 546QAI7x7984RAI79:T8ZKZÈG5Q ?BÃ68JADOÌ14u7TE"79EDQ¨Ä>?B:V?BŀQ7TQ:VU Ñ c Õ 7TEDQ@ÆÉ8JÃ6Ã68XÌ14RADO€U94uß«AG8JAGKZ46ŀQAGU9468JAG?JÃjMz?J:94‘?BÎGÃRQ‚UÞ ¡ H 8 ¡ « 8 ¡Hõ!8

›

Ñ 7 TWk Vpx H P 7 Tyk V Õ 9

› > Ñ 7 TWk Vpx P 7 TWk V Õ H 9 Y h h Tyk V y T k V ¡ 8 ˋô ô › ? Ñ 7•Tyk Vpx P '7 TWk V Õ '7 Tyx k V P 7'TWk V H H 9 9 h W T k V ¡ 8 7 TWk Vpx P 7 Tyk V ô H 6 Tyx k V P 6 Tyk V 6 l Tyk Vpx P 6 Tyk V H H 9 9 P ¡Hö!8 7 Tyk Všx P 7 Tyk V 7 TWk Vpx 7 Tyk V

H

Ñ sIÕ

H

N | ÆÉ8;:?³Ä>QF:WÆÉQ‚5-7OI?JUF=GÂhEDQ¨QAI7T:946QFU18JÆŀ?B79:T4uß Ì1EDQ:TQ 46U79EDQU98JÈGAGK"UWÄsQQ‚KjÜ 8*÷ F = Å 5?JA«Îs 9 46A"? ä¯åXæÉçDèé Ë Q Qdz54RQFAI79Ã6гQßZÄD:TQFUTUWQ‚K³ Ë 4RA«79QF:9ųUx8BÆ7TEDQÄG?B:V?BŀQ7TQ:VU ¡ H 9 ¡ ö

L  L L B å k æ ‹ ë V ì å 58ZKZQÎPЀÈGU94RADO$79EDQ 79:V?BAGUWÆÉ8J:Tų?X79468JA€:TÈDÃ6QFUF@= R~Q7FÜ;ÆÉ8J:–QßD?BŀÄDÃ6QJ܀ø'ùSæ =IÂhEDQFA ê 8¢¡ H ̖Q«5F?BAã46A;7T:98ZKZÈ>5Q³7TEDQ AD8J7T?X7T4R8;Ô A ø'ùSæ 4RAI7T879EDQ«QAI79:T Ð úBú‹ûBûpæ5üæýBý"8BÆh79EDQ« ŀ?B79:T4u˜ ß Å Ì14u7TE#7TEDQ$?B4‘K#8BÆ)79:V?BAGUWÆÉ8J:Tų?X79468JA#:9ÈGÃRQ

ú@ú‹ûBûšæ5üæýBýÔþÀúBú‹ûBûpæ5üæýBýÿ
­ø   øù£æ-îcï€ÿ  ‹û@û‰î ü+ï %æýBý  ‹ûBû‰î ü‰ïýBý£ü Ì1EDQ:TQ-î
ï h TWV Ü ‹ûBû‰î ü‰ïýBý 7'Tyk V ÜPQ7T5B=ZÂhEDQ:TQų?B46AD46ADOÄG?J:T?JŀQ79QF:TU Y 9 9 ?B:TQ ¡ LL L ¡€ö 4RAI79:T8ZKZÈG5QFK³8 46A 7TEDQ QFAI79:T4RQ‚UN8BÆ~8 · Å 4RAµ?U94Rŀ46Ã6?J:–Ìh?zÐJ=IÂhEDQ÷G:VUW7x:T8XÌÍ8Bƣŷ7TEIÈ>U˜ 8;ÎZ7T?J4RADQ‚K 46U$79EDQFAóUc7T8J:TQFKø4RAó79EDQ³÷>ÃRQ£ æ š= ٠ƍ79Q:79EG?B7ÌxQ«58;ÅÄGÈZ79Q 46Aó?ÖU94Rŀ46Ã6?J:$Ìh?zÐÖ79EGQ ADQßP7¨:98XÌU 8BÆK€ Å =~âPÈG5VEã?#UW79:V?X7TQOJÐUT?zMJQ‚U ?#ÃR8J7¨8BƖ58JŀÄDÈZ7TQ:¨Å€Qŀ8J:TÐJÜjU98«7TEG?X7@8JAGÃRÐ ?BÎs8JÈZ7ÒÖÎð?B:TQAGQQFKDQFK¯798"58JŀÄDÈD79Q8JADQ:98XÌ 8JÆU€ Å = × AG5QÌxQEG?zM;Q58JŀÄDÈZ7TQFK¯?JÃRà 79EDQ¨:T8XÌUh8BÆų?X79:T4R߀ Å ÜDÌxQ$5?JAµ?;U9U9QÅÎDÃRQ7TEDQÅ,4RAI7T8 ?]íÍQ³  ų?X7T:94Rßj=DÂhEDQ$:TQFU9ÈDÃR7946ADO ŀ?B79:T4ußÅ 7V?BÝJQ‚U@õ z
cz Ã646ADQFU18Jƚ7TQßP7FÜGÌ14u7TE s   U9ÐPÅÎs8JÑUh4RA"Q‚?J5VEµÃR46ADQ¨8JA#79EGQ$?zMJQ:V?BO;QJ= Ù 77TEDQAPÈDŀQ:T465F?BÃUW7T?JOJQFU8JÆ8;ÈD:³Å€Q79EG8PKÜ79EDQCFQ:T8PQFU8BÆ@5VEG?B:V?J579Q:T4‘Uc7T465#QI ÈG?BÊ 79468JA Ñ õ ; Õ ?J:9Q 58JŀÄDÈZ7TQFKãAPÈDŀQ:T465F?BÃ6ÃRÐðÌ14u7TE¬79EGQ«?B4‘Kã8BÆx79EDQ ä¯åXæÉçDè ê åBækë‹ìVå ÆÉÈGAG5-7T4R8;A   Uû ‰ýs=Xòa7x4‘Ux̖QFÃRÃsÝPAD8XÌ1Aðô X ös79EG?B7–7TEDQFU9QCQ:T8PQFUx?B:TQ M;Q:TЀU9QA>UW4R7946MJQ 798:98;ÈDAGKZ8c

Q:T:98;:TU~Ì1EDQA79EDQhų?J5VED46ADQh?B:T4u7TEDŀQ7T465–8BÆDË>8;?X7T4RAGOBÊaÄ>8;4RAI7šAPÈDÅÎ>QF:TU)4‘U)ÈGUWQ‚K¨7T858JŀÄDÈZ7TQ 79EDQ1APÈDŀQ:T4‘5?BÃZMX?JÃRÈDQ‚U8BÆS58PQÇ 546QAI7VU8BÆ>QIÈG?X7T4R8;A Ñ õ ;Õ = × A79EDQ18J79EDQF:EG?BAGKÜX4u7N4‘U̖QFÃRà ÝIAG8XÌ1A 79E>?X7h79EDQ¨58JŀÄDÈZ7TQ:?BÃ6OJQFÎD:V?U9ÐPUW79QFÅ ä¯åXæÉçDè ê åBækë‹ìVå ÄsQ:9ÆÉ8J:TųU–QßD?J5-7?J:94R79EDŀQÊ 794‘518JÄsQ:V?X7T4R8;AGU8JA€:V?X79468JA>?BÃDAPÈDÅÎ>QF:TUF=Bò{A³?J5F58J:VKD?JAG5QhÌ14R79E Ñ c Õ 7TEDQ 58PQdz54RQFAI7TU T 46A Ñ õ IÕ KZQFÄ>QFAGK8JA58;U × ?BA>KUW46 A × 9 Ì cõ 9WD=Dò{A8J:VKZQF:1798«?zM;8J4‘K#79EDQ$46AI79:T8ZKZÈG5-Ë 7T4R8;A 8BƘ?BAPÐ":T8JÈDAGKD„8 ðQF:9:T8J:VU1Ì1EDQFAð58JŀÄDÈZ7T4RAD8 O«79EDQAPÈDŀQ:T465F?BÃ)Mz?JÃRÈGQFU8JÆ79EDQ‚UWQÆÉÈDAG579468JAGU É ?JUx7TEDQ@ÆÉ8JÃ6Ã68XÌ14RADO€:V?X7T4R8;AG?BÃSAPÈDÅÎsQ:VUFÞ Ì–Q@EG?zM;Q@KDQ79QF:9ŀ46ADQFK«É79EGQFU9Q¨Mz?JÃRÈGQFU1

!

58IU× É

8

P
õ 9 à × ™ $  k( H )x $ à & %' k ( ž 9„× H & % ' ž É

8#"

à"UW46A×

8

! ÿ-9 Y $ $ -à %' k ( k ž ( x) H & %' ž

8#" É É * + ™ x ä24356€ä 738 Uû:9‹û 2  9 õ‚ÿ Ü Ì

× 9„× É

8," 8,"

Ñ uJÕ 9

É.*

Ì1EDQ:TQ
/ Ñ 2 9‰œ Õ õ
9Wx?BA>K 2 7V?BA Ñ × | Õ à 81ò 0 8 8 ™ x œ õFÿ 46U79EDQÈGU9Q:9ÊaU9Ä>Q‚54R÷GQFK?;55ÈD:T?;5Ð Ì14R79E¯Ì1ED465VE"7TEDQÎGÈD4RÃR7WÊa46A äÖåBé É Î>QF: 2 4RAIÉ 7T8 æçG8 è ê åXæ^ë‹ìVå É ÆÉÈDA>5-79468JA ä24356€ä 738 Uû É ‰ý 58JAPMJQF:W7VUN?¨Ë>8;?X7T4RAGOBÊaÄ>8;4RAI7˜APÈDÅ 0 ? :V?X79468JA>?BÃAPÈDÅÎ>QF:F=sòa7 4‘U 46ŀÄ>8;:W7V?BAI7 7TEG?X7 79EDQ€5?JÃ65ÈDÑ?X79468JA8JƘ58IU× ?BAGKÖU946A× ÎPÐ ÆÉ8J:TÅÈDÑ?JU Ñ uBÕ ?BÃ6Ìx?zÐZU˜QAGU9ÈD:TQFU–79EDQ¨UT?X7T46UWƋ?J579468JA«8JÆ79EGQ:TQÑ?X7T4R8;A#58;UWYS× U94RA Y É × 3 É É 8 cõ 9‹Ì cõ 9WD= 8

É

É

õFÿ z ÂhEDQ@Mz?JÃRÈGQFUh8BÆAD8;AGKZ46ÅQFAGU94R8;AG?BÃSÄG?J:T?JÅQ79QF:TU Ñ
 Õ ?BA>K Ñ sIÕ ÌxQ:TQ@?BÑUW8³58;ŀÄDÈZ79Q‚K 4RA Ñ õ ;Õ ?JUS7TEDQN:V?X79468JA>?BÃBAPÈDÅÎ>QF:TUF= Ù Uš?1:TQFU9ÈDÃu7‚Ü7TEDQ˜58PQdz54RQFAI7TU T 8JÆPQIÈG?X7T4R8;A Ñ õ IÕ ?B:TQ Q ßD?J57˜ÆÉ8J:h?BAPЀ58;ÅÄGÃRQ߀APÈDŀQF:94‘5?JÃGŀQ7TED8ZKj=ZÂhEDQ:TQÆÉ8;:9Q;ÜJÌxQ 5?JË A«58;ŀÄDÈZ79Q 79EDQCQF:98PQ‚U 8BÆ Ñ õ ;Õ QßD?J579Ã6ÐJÜGÎsQF5F?BÈGU9Q$7TEDQ äÖåBæçGè ê åXæ^ë‹ìVå ÆÉÈDAG5-7T4R8;A   5Uû= =‰ý€46ŀÄDÃRQFŀQAI7TU 79EGQ QßD?J571U98JÃ6ÈZ7T4R8;A«ÆÉ8;:9ÅÈDÃ6?;U1?X 7 Ì G= 8 Ó 8J: 79EDQÖM;Q:T4u÷s5?X7T4R8;A 8JÆ@79EDQ¯ ?JÎ>8XM;QÖUWÐPÅÎ>8;ÃR4‘5 XAIÈGÅQF:94‘5µÅ€Q79EG8PKÍÌxQEG?zM;QÈGUWQ‚K 79EDQ"?BAG?JÃRÐI7T465 U98JÃ6ÈZ7T4R8;Aô Bö–ÆÉ8;:7TEDQ«AGQF5Q‚U9UT?B:TÐãUc7V?BÎD46ÃR4R7cЬ58;AGKZ4R79468JAó8JÆ179EDQµÃR46ADQ‚?B:T4RCFQFK Ø ÈDADO;Q Ê @ÈZ7W7V?¯UT5VEDQŀQJܚÌ1ED4‘5VE 5?JA¬Î>Qµ8JÎD7T?B46ADQ‚KãÆÉ:98;Å Ñ c Õ 46A¬79EGQ#ÄG?J:W7T465ÈDÑ?B:5F?JU9Q Ì1EDQ:TQ b ÿDÜD4^= QJ=6BÜ œ Y ‚ œ ‚ œ Y ƒ œ ƒ ÿGÞ 8 8 8 8 « 8

Ì1EDQ:TQ

l l   ¡ Y   3¢  ¡ Y ¡   3t  ¡ « ¡ ö  3t  ¡ « ¡ õ   cÕ Y Ñ WÕ Y ö ¥?> õ 4 Ñi§ H 9 § Y Õ 9 ôÑ H 3   ¡  3t  ¡ H l ¡   3   ¡ H ¡ ö  3t  ¡ H ¡ õ   Ð l § P¨§ õ H Y 3 Ñi§ Y Ña§ Y P  § H 3 zc§ YH ÕWÕ ¥?> õ ¥?> õ 4 Ña§ 9 § Õ H Y 8 § § Y B L HA@

Ñ zIÕ Ñ IÕ

ò{Að7TEDQ³ÄG?J:W7T465ÈDÃ6?J:$5?;UWQ€8BÆ1?"ÈDAD4RÆÉ8J:TÅ:TQF57T?JADOJÈDÑ?B:¨U9ÄG?X7T46?JÃOJ:T46Kð46Að7TEDQ Ñ 6 9 7 Õ ÄDÑ?BAGQ ̖Q@EG?zM;QJÞ 6 yT x k V H 8 6 WT k V 3DC H 9 6 Tyk Vpx H 8 6 Tyk V 9 Ñ Jÿ Õ 7 Tyx k V ì
9Wv%9 H 8 7 Tyk V 9 7 TWk Vpx H 8 7 Tyk V E 3 C YGF Ì1EDQ:TQ H ?JAGK Y ?J:9Q7TEDQ³OJ:T46KãUW79QFÄGU$?BÃ68JAGO#7TEDQ 6 Ê?BAGK 7 Êa?BßZQFUFÜj:9Q‚UWÄsQF57946MJQÃ6ÐJ=ÂhEGQ UWÈDÎ>Uc7T4u7TÈZC 79468JA"8BÆ C Ñ ;ÿ Õ 46A Ñ Is Õ ÐP46QÑKDUh7TEDQ@ÆÉ8J:TÅÈDÑ?JU ›

> › 9

? › 9

ÿ 9 ¡ 8 ¡Hõ!8 HC HC ÂhEDQ:TQÆÉ8;:9Q;Ü;7TEDQ¨Uc7V?BÎD46Ã64u7cЫ58JAGKD4u7T4R8;A Ñ ;z Õ 9U 4RŀÄDÃ6l 4R÷GQFU1?B7 § H 79468JA õ Y   ¡ Y  3¢  ¡ «   ¡Hõ3e¡ HH 3e¡ õ Ð Ù 7179EDQ$U9Ä>Q‚54R÷GQFK"5QÃ6Ã?JU9Ä>Q‚5-7:V?X79468 7TEDQ¨Q IÈG?JÃR4R7cÐ ¡ H 8

CË H

9

¡ Y 8

¡ « 8

C H 9

§

Y 8

C Y 8 L

¡Hö8

ÿ

L |õ @7987TEDQ$58;AGKZ4RÊ

Ñ Dõ Õ

¡ õ

Õ| H õ Ñ 
Õ Y 3r¡ õ Ñ Y 9 Õ 8BÆ17TEDQµUW7T?JÎD46ÃR4R7cÐã:9QFOJ468JA¬8BÆ UT5VEDQFÅQ Ñ õ s;Õ 8;A KZQ7TQ:TÅ46ADQ‚U?ðUWÈD:9Ƌ?J5Q H ?BAµÈDAD4RÆÉ8J:TŶ:9Q‚5-7V?BADO;ÈDÃ6?J¡ :–O;:98J 4‘K I 46A#¡ 79EDQ$¡ «?JÎGUWQFAG5Q8BÆ?B:9794R÷>54‘?BÃjKZ4‘UTUW46ÄG?X7T8J:‚=Pò{A#ÄG?J:W7T465ÈDÑ?B:‚Ü | õ ?X779EDQ"?BÄsQßó8JÆ ÄPÐI:V?Bŀ4‘K Ñ @ Õ Ü)Ì1EGQ:TQ Y ÿDÜ̖Q#EG?zMJQ H Y = ¡ 8Ρ « 8 ò{A¯Âš?JÎDÃ6Q$̖QÄD:9Q‚UWQFAI779EDQ:9Q‚UWÈGÃu7VU8BÆAPÈDŀ Q:T4‘5?BÃ)58;ÅÄGÈZ7T?B79468JA8BÆ ¡ H ?B8 779EDQ÷ Uc7V?BÎD3r46Ã6¡ 4u7cõ Ð :9QFOJ468JA Îs8JÈDAGKG?B:TÐÍ?B7µ?ñÈGUWQF:WÊ{U9Ä>Q‚54R÷GQFK ?;55ÈD:T?;5r Ð œ õFÿ ™ YÖÆÉ8J:#¡ 79EDQø58JŀÄDÈD7T?X7T4R8;A 8 8BÆ H =ò{Aø79ED4‘U@7T?JÎDÃ6QJÜ H ¦K 46U@7TEDQ³MX?BÃ6ÈDQ€8BÆ H 8;Aø79EDQ UW7T?JÎD4RÃ64R7cÐÖ:9QFOJ468JAøÎ>8;ÈDAGKD?J:9Ð | õ 8JÎZ7V¡ ?B46ADQFK@ÎPÐ 79EDQx?BÎs8XMJQ¡ ÄD:TQFU9QAI79Q‚K¨UWÐPÅÎ>8;ÃR4‘5-ÊaAPÈD¡ ŀQ:T465F?BÃBŀQ7TED8ZKjà H ‚ Y à ¡ õ É ?BA«ÎsQ¨UWQFQA#ÆÉ:98;Å 79EDQ¨Â)?BÎDÃ6Q79EG?B7h79EDQ¨¡ ?BÎ>; UW8;8 ÃRÈZ7TQ QF÷ :9:T8J3r ‚ P L H L Z = a ò  7 F 5 : H H ¦5K H 46U¡ U9ų8* ?BÃ6  ÃR¡ QF:h; ÎIÐ#?B¡ A"8J:VKZQ  :h8JÆ)ų?BO;AD4R79ÈGKZQ7TEG?BAµ79EGQ¨ÈGUWQF:WÊ{U9Ä>Q‚54R÷GQFKµ?J5F5ÈD:V?J5еõ‚ÿ ™ YB= ¡ ò{A79EDQOJQFADQ:V?BÃ)5É ?;UWQ;Ü>Ì1EDQF:9Q79EDQ€?B:9794R÷>546?JÚKZ4‘U9U946ÄG?X7T4R8;A¯58PQÇ 54RQFA;7VU œ Y ‚ 9+œ Y ƒ HÜ œ ‚ Ü ƒ œ ?J:9Q1KZ4 SQ:TQAI7ÆÉ:98;Å CQF:98>ÜX̖QhEG?zM;Q1?X7÷G:VUc7NKZQ79Q:Tŀ4RAGQFK79EDQUW7T?JÎD46ÃR4R7cÐ:TQO;4R8;AÎs8JÈDAZÊ KD?B:TÐ"4RAãKZ4sQF:9QFA;7¨U9QF5-7T4R8;AGU8BƖ?«79QFAZÊ{KZ4RŀQFAGUW468JA>?BÃLNÈG5ÃR4‘KZQ‚?BAðU9ÄG?;5Q8JÆ Ñ œ Y ‚ 9+œ Y ƒ Ü œ l ‚ 9 l

¡ H 8

Ñ P

 ¡ Y  

P

 ¡ «  ¡ õ

l

õFÿ  rSnFœ;vpf‚† MšnFvpeIfT_–g i N [ n`–•Zg‚bp]XO ` N O ” P N Q P @gFij`ct;f1_a`WnFœIbpvpbd`^|lcfVŽ‚bpg‚] œZg‚e;]P“Inl{|gFij_{oWtIfVm¨fSRa‡-UTn`x“Jbd°DfTlcfV]X`Ny‚nvpeIfV_NgFiVN W

N [X N W ”

‡ [

ƒ

ž

N Z[ Y\[?] ^`_ba\^ a abd ^ l ‡\^`m þcb‚df‚e F‚ l ‡\m  eig ‡ chf j ‡  žFzþ l _\h m ‚^ „  dg ‡Vzý l ^ m jiFh žza ƒB‡Vzƒ N [Znpo ‚‡ † þ‚‚‚ý  F‡ †  ‡  jbƒBk ‡  J † F„ j  ƒ‚þ J † Fžzg ƒ  k ýF B† ‚‚F‚„Fž J † F‚zƒzƒ J † F‚zƒ„  Nq [ J† F‚zþ‚ œ ƒ 9 H 9 Y 9 9 Õ Ä>8;4RAI7TUF=˜ÂhED4‘U€EG?;U€:9Q;ÈG4R:TQFKñŀ?JAPÐó:9ÈGAGU€8JA ?ã58;ÅÄGÈZ79QF:F= Ù U³? :9Q‚UWÈDÃR¡ 7 8J¡Æ79EDLQ‚L UWL Q¡€:9ÈGö AGUÜ>̖QEG?zMJQ?J55ÈDÅÈGÃ6?B79QFKµ7TEDQ4RAZÆÉ8;:9ų?B79468JAÜ>Ì1ED465VE¯ÄD:98XM;QFKµ7T8«ÎsQ UWÈZl Ç 54RQFA;7ÆÉ8;:N?BA€?BAG?JÃRÐI7T465–÷D797946ADO¨8BÆj?BÃ6ÃP79EDQ1APÈDŀQF:94‘5?JÃDKD?X7V? 8;ÎZ7T?J4RAGQFKj= Ù 77TED4‘U÷D7W7T4RAGO § H 4RA Ñ I Õ Ü>?B7 Ì1ED4‘5VE 4 Ñi§ H 9 § Y Õ Z=sò{A ̖Q$E>?zMJQ58JAGU946KDQ:TQFK#79EDQMX?BÃ6ÈDQFU § H 8 ÚY 8 Y 8

79ED4‘U5F?JU9QJÜÌxQ EG?zM;Q8;ÎZ7T?J4RAGQFKø79EGQ MJ8;A QÈDų?JADA¬ADQF5QFUTU9?J:9ÐðUc7V?BÎD46ÃR4R7cÐð58JAGKD4u7T4R8;A¬8BÆ 79EDQ«79ED:TQQÊaUW7T?JOJQ Ø ÈDADO;QÊ @ÈZ7W7V?"÷GAD4R79Q«MJ8JÃ6ÈDŀQ ŀQ7TED8ZK Ñ õ s;Õ 8;A¬5ÈD:TMP4RÃ64RAGQF?B:OJ:T46Kã46A 79EDQ@ÆÉ8;:9Å r r r r œ Y ƒ Y >u œ ‚ œ ƒ z 3 3 ÿ   s õ | sVv 3 õ | z s4v l l L Ñõ ÕY Ñ ÕY Ñ c Õ 3t  ¡   3   ¡ õ  3¢  ¡ ö   õ Ñõ Õ P Ñ ÕUy l Ð L 3xw   3¢  ¡ l     ¡ «     ¡ õ   3¢  ¡ ö   òa746U$QF?JU9Ð7T8ÖUWQFQ€79EG?B7$4RAã7TEDQ³ÄG?B:9794‘5l ÈGÃ6?J:$5?JU9Q³Ì1EDQF:9Qwœ Y ‚ œ Yƒ œ ‚ œ ƒ ÿ 8 8 Ñ Õ 8 Ñ Õ Ñ z ; Õ ÆÉ8J:TÅÈDÑ? 
 58;4RA>54‘KZQFU1Ì14R79E46ADQ;È>?BÃ64u7cÐ =Gò{AÖ?J558J:VKD?BA>5Q@Ì14u7TE
79EGQ?Bŀ8 ÄDÃ64uÊ b ÷>5?B79468JAµÅ€?B79:T4ußÅ 46U1?ų?X7T:94Rß«Äs8JÃ6ÐIAG8Jŀ46?JÃS8Bƚų?B79:T4uß b H h =Zòa71l46UhÌxQÃ6Ãjl ÝPAD8XÌ1A 3 Y Ö h b b 79EG?B7–7TEDQ ų?B79:T465QFU H ?JAGK Y Ö 5?JA Î>Q@KZ4‘?BO;8JAG?JÃR46CQ‚K UW46ÅÈGÃu7V?BADQF8JÈGU9ÃRÐÎPЀ79EDQ@UT?BŀQ UW46ŀ4RÑ?B:T4u7cÐó79:V?BAGUWÆÉ8J:Tų?X79468JAùô X ö^=
zxÐñÈ>UW46ADOø79EDQU9ÈZÇ 546QAI7«UW7T?BÎG4RÃ64u7cÐ 5:T4u7TQ:T4R8;Aùô z öÆÉ8;: œ Y‚ ÿ t  s L   ¡ H   ÷ P  ¡ Y

Y >u

79EDQ KD46?JOJ8JA>?BÃ64RC‚?BÎDÃ6Q1?BŀÄDÃ64u÷>5F?X7T4R8;Aų?B79:T465QFU4R7˜QF?;UWÐ798$ÄG:98XM;Q–7TEG?X7˜79EDQAGQF5Q‚U9UT?B:TÐ$M;8JA Ú QÈGŀ?JADAUc7V?BÎD46Ã64u7cе58JA>KZ4u7T4R8;A Ñ c Õ ÆÉ8J:17TEDQ¨ÃR46ADQ‚?B:T4RCFQFK Ø ÈDADO;Q Ê @ÈZ7W7V?³U95VEDQFŀQÈGAGKZQ: 58JA>UW4‘KZQ:V?X7T4R8;A«4‘U?BÑU98U9ÈZÇ 546QAI71ÆÉ8J:UW7T?JÎD46ÃR4R7cÐJ= âPÈDÎGUW794R79ÈZ7T4RAGOÖQßZÄD:TQFUTUW468JA>U Ñ sIÕ ÆÉ8J:¨7TEDQ AD8;AGKZ46ŀQAGU94R8;AG?BÃNU946Å46Ñ?B:T4u7cÐðÄG?B:V?BŀQ7TQ:VU 9H 9 4RAI7T8 Ñ c Õ ÌxQx5F?BAQF?;UW46ÃRШ8;ÎZ7T?J4RA79EDQhQßPÄGÃR4‘54R7QßZÄD:TQFUTUW468JA¨ÆÉ8;:)79EDQhų?XßZ46ÅÈDÅ L LUWL 79Q¡ Ä ö › ?BÃ6ÃR8XÌxQFKãÎPÐø79EDQµUc7V?BÎD46Ã64u7cÐã8BÆ17TEDQ Ø ÈDADOJQÊ @ÈD7W7T?¯U95VEDQFŀQ«ÈDAGKDQ:€Uc7TÈGKZÐJ= 79¡ 46ÅQ" Ù U94RŀÄDÃ6Q«?BA>?BÃ6ÐPU94‘U¨8BÆh79EG46UQßZÄD:TQFUTUW468JA¬U9ED8XÌU@7TEG?X746A¬7TEDQ«5?;UWQ«8BÆh79EDQ#ÄD:TQFU9QAG5Q³8BÆ ?B:9794R÷>54‘?BÃSKZ4‘U9U94RÄ>?X798;:FÜI7TEG?X7h46Ux46A«7TEDQ¨5?;UWQ Ì1EDQ:TQ?B7xÃ6QF?;Uc7h8JAGQ 8JÆ79EDQÆÉ8;ÈD:x58PQÇ 546QAI7TU Ñ c Õ 4‘U«KZ4 sQF:9QFAI7«ÆÉ:T8JÅ CQ:T8GÜN79EDQðŀ?BßZ4RÅÈDÅ 7946ÅQðUc7TQÄU94RCFQ¯?BÃ6Ã68X̖Q‚K ÎPÐÍUc7V?BÎD46Ã64u7cÐ :9Q‚KZÈG5Q‚U4RA€58;ŀÄG?B:T46U98JAÌ14u7TE7TEDQ5?;UWQx8BÆ>79EDQ?JÎGU9QAG5Q–8JÆs?B:9794R÷>546?JÃDKZ46UTU94RÄG?B79468JA79Q:TųU=

{

)Ô"¼G½h¾ °º ( .

ÁWÀ}|ø½.´ ¿1»()»DÁc½˜º¼~ Á{»-,º¶¸()»-, "£.´()»DÁWÀ%(

ÂhEDQ@8JÎZ7V?B46ADQFK#Uc7V?BÎD46ÃR4R7cЫ58JAGKZ4R79468JA Ñ 
 Õ Ìx?;UxÈGUWQ‚K 46A#8;ÈD:1?BQF:98ZKZÐPAG?JÅ4‘558ZKZQ ÆÉ8J:h79EGQ 58JŀÄDÈD7T?X7T4R8;A$8BÆZ7TEDQ˜Ã68Z5?JÃJ7T4RŀQ–UW79QFÄ$46AQF?;5VE$5QFÃRÃI8BÆG?5ÈD:TMI46Ã64RADQ‚?B:)58JŀÄDÈD7946ADO ŀQFU9E¨7T8 4RŀÄDÃ6QŀQAI77TEDQ1ÄD:T4RAG54RÄGÃRQ18JÆsÃ68Z5?BÃP7T4RŀQUW79QFÄDÄD46ADO ô Xö^ÜXÌ1EG465VE³?J5F5QFÃRQF:T?B79QFUU94RO;AD4R÷>5?JA;7TÃRÐ 79EDQ$58JAPMJQF:9O;QAG5Q 8BÆ)79EGQ¨AIÈGÅQF:94‘5?JÃjUW8;ÃRÈZ7T4R8;Aµ798³?€Uc7TQF?JKDЫUc7V?X7TQJ=

õJõFÿ

1 0.8 0.6 0.4 0.2

1 0.8 0.6 0.4 0.2 0.5

1

1.5

2

RÉn\T

2.5

3

0.5

1

Rœ T

1.5

2

2.5

3

0.7 M -1 0.6

Log10(Rn )

-1.5

0.5

-2 -2.5

0.4

-3

n

x

0.3 0.5

1

1.5

RoiT

2

2.5

3

-3.5 0

200

400

600

800

Rɓ T

#‘“’ ¦€G¦ \^]ByBbp_{oVbu“‚Pg-©Ö`ct;lcgFeIŽFt@nxoWtPn]I]IfTvJ©Nbd`ct¨nxoTbplcoTeIvunlšnlcoœ;eIm¨• bp]@vpg©)fTl©nvuvŒ‚_{eIœI_{gF]Ibpo ‚Ig-© n `ƒ…„ P m ýXŒ†RÉn\T–oVeJlcyJbpvpbp]If-nl1ŽFlcbu“ gFiýF Ž ‡ý¨]IgB“;fT_V‰)Rœ T˜•Jlcf-“;bpoT`cfV“µ}€no9t«]BeImœZf9l oTg‚]X`cg‚eJlc_V‰†RobT–•;lcf-“JbpoT`cf-“"}€no9t#]BeImœZf9lx•JlcgF®PvpfV_nvpg‚]IŽvug-©)fTl1©nvuv‡R_{g‚vpbu“µvpbp]IfiT–nF]P“«eI•;•ZfTl ©nFvpv ÉR “;nF_{t;f-“vpbp]Ifi9T ‰ÉR “ ) T oVgF]ByzfTlcŽ‚fT]IoVfht;bp_a`cgFl{|X†

õJõ;õ

1 0.8 0.6 0.4 0.2

1 0.8 0.6 0.4 0.2 0.5

1

1.5

2

RÉn\T

2.5

3

2 M

0.5

-1

1.8

-2

1.6

-3

1.4

1

Rœ T

1.5

2

2.5

3

Log10(Rn )

-4 x

1.2 0.5

1

1.5

RoiT

2

2.5

3

n -5 0

100

200

300

400

Rɓ T

“ ‚Pg-©ó`ct;lcgFeIŽ‚t€no9tInF];]IfVvD©Nbd`ct³noVbdlcoVe;vRnlhnlcoœIeIm¨•bp]€vpg-©fTl˜©nvuvŒI_{eI•ZfTl{Š #‘“’ ¦ ˆG¦ \^]ByBbp_{oVbu‰ _{gF]IbpoŠ‚Pg-©ªn`‹ƒŒ„ P ‡m ‚ýBŒRÉn\ToTe;lcyBbpvubp];f-nl ŽFlcbu“"gFi–F Ž  €]IgB“JfV_V‰tRœ T1•Jlcf-“;bpoT`cfV“}€nFoWt ]Be;mœZfTl)oVg‚]X`cg‚eJlc_V‰7RoiTš•;lcfV“;bpoT`cf-“}€nFoWt]BeIm œZfTl•JlcgF®IvufT_NnFvpg‚];Žvpg-©fTlN©nvpv†R_{gFvubu“vubp];fiTnF]I“ e;•I•ZfTl©nFvp v Rɓ;nF_{t;f-“vpbp]Iif T9‰ Rɓ T)oVgF]ByzfTlcŽ‚fT]IoVfht;bp_a`cgFl{|X†

õJõ Ù U$?µ7TQFUW7$ËG8XÌ ÄG:98;ÎDÃRQFÅÌxQ³EG?zMJQ³5VED8IUWQFA¬?"ÄD:98;ÎDÃ6QÅ8JÆx46APMP46UT54‘KøO;?JUË>8XÌ 46A¬? 5VEG?BADAGQÃhÌ1ED8;U9QµÃR8XÌxQ:Ìx?JÃRÃhEG?;U€?ð54R:V5ÈDÑ?B:³?J:T5«ÎDÈDŀÄ=–âP46AG5QµL˜ÈDÃRQF:€QIÈG?X7T4R8;AGU€?B:TQ UW8;ÃRM;QFKjÜGU9Ã64Rį58JAGKD4u7T4R8;AGU ?J:9Q¨ÄD:TQFUT5:T46Î>Q‚K?X7 Ìh?BÃ6Ã6UF=>ÂhEG46UËG8XÌ·ÄD:98;ÎDÃ6QÅ,Ìx?;U1ÄD:T8JÄs8;U9QFK ?JUx?$7TQFUW7h5F?JU9Q 46A#?< Ù Ž ̖8;:9ÝZU9ED8Jij8JƘõ 
z õ ?JAGK 4‘U˜AG8XÌ 8Bƍ7TQA«È>UWQ‚K³798?JUTUWQ‚U9U˜79EGQ ?J55ÈD:V?J5г8JƚAPÈDŀQ:T4‘5?BÃUT5VEDQFÅQ‚U¨ô s ö^= ÂhEDQ5ÈD:TMI46Ã64RADQ‚?B:@OJ:T4‘K8B‹ Æ ;È>?JKZ:T4RÑ?X7TQ:V?BÃ5QFÃRÑUÌx?;U O;QADQF:T?B79Q‚K4RAð79EGQ Ñ 6 9 7 Õ ÄDÑ?BAGQ Ö ä B å  æ G ç è X å AIÈGÅQF:94‘5?JÃRÃ6Ð ÎPÐ? ê æ^ë‹ìVå ÄD:T8JO;:T?JÅ"Ü-4RA¨Ì1ED4‘5VE@̖QE>?zMJQ46ÅÄGÃRQFÅQFAI79QFK7TEDQNÅÈDÃu7T4uÊ u UWÈD:9Ƌ?J5Q@ÅQ79ED8ZKãô öjÆÉ8J:1APÈDŀQF:94‘5?JÃjOJ:T46K#OJQFADQ:V?X7T4R8;A= ò{Aµ8;:TKDQ:h798 U9ÄsQQFKµÈDÄ"QßPQ‚5ÈZ7T4R8;A"4RA8;ÈD:?BQF:98ZKZÐPAG?JÅ4‘5@58ZKZQ¨ÌxQ¨EG?zMJQÄsQ:9ÆÉ8J:TÅQ‚K 79EDQ$U9QO;ÅQFAI7T?X7T4R8;A#8JÆ~7TEDQ¨Å³?B46A"58JŀÄDÈZ7V?X7T4R8;AG?BÃSÄD:T8Z5QFUTUh46A;7T8ÆÉ8JÈD:1ÎDÃ68Z5VÝZUÞ Ñ õ Õ 7TEDQ$58;ŀÄDÈZ7T?B79468JAµ8BÆ)ËGÈZßZQFUh46Aµ79EDQ$UW79:TQF?JÅÌ14‘UWQ@KZ46:9Q‚5-7T4R8;Aà Ñ Õ 7TEDQ$58;ŀÄDÈZ7T?B79468JAµ8BÆ?B:9794R÷>54‘?BÃjKZ4‘UTUW46ÄG?X7T4R8;A«7TQ:TųU14RAµ7TEDQ$Uc7T:9Q‚?BÅÌ146U9QKD4R:TQF579468JAà Ñ  Õ 7TEDQ$58;ŀÄDÈZ7T?B79468JAµ8BÆ)ËGÈZßZQFUh46Aµ79EDQ¨AG8J:Tŀ?JÃjKZ4R:TQF579468JAà Ñ  Õ 7TEDQ$58;ŀÄDÈZ7T?B79468JAµ8BÆ?B:9794R÷>54‘?BÃjKZ4‘UTUW46ÄG?X7T4R8;A«7TQ:TųU14RAµ7TEDQ¨AD8J:Tų?BÃjKZ46:9Q‚5-7T4R8;A= Ù A?JAG?BÃ6ÐZUW4‘Uj8BÆZ7TEDQFU9Q˜58JŀÄDÈZ7V?X79468JA>?BÃJÎGÃR8Z5VÝZUEG?;U~U9ED8XÌ1A@79E>?X7š4R7š4‘UÄs8;UTU94RÎDÃ6QN7T8QßZQ‚5ÈZ7TQ ÎDÃR8Z5VÝZU Ñ õ Õ ?JAGK Ñ  Õ Ì14R79E³7TEDQ ?J46K³8JÆS79EDQU9?JÅQhÆÉÈGAG5-7T4R8;A=IÂhEGQ UT?BŀQ146U˜79:TÈDQ1ÆÉ8;:˜ÎDÃ68Z5VÝZU Ñ Õ ?BA>K Ñ  Õ = Ù U? :TQFU9ÈDÃR7FÜS̖QEG?zMJQÌ1:94R7W7TQAÖ7cÌx8 ÆÉÈGAG5-7T4R8;AGUÞS8;ADQ8JÆ79EDQFÅ 58JŀÄDÈD79QFU 79EDQË>ÈZßZQFU 8;A 5ÈD:TMP4RÃ646ADQF?J:³OJ:T46Kjܖ?BAGK 7TEDQÖ8B7TEDQ: ÆÉÈDAG5-7T4R8;A58;ŀÄDÈZ79Q‚U³7TEDQ¯?B:9794R÷>546?Jà KZ46UTU94RÄG?B79468JAã7TQ:TŀUF= ٠ƍ79QF:7TEG?X7‚Ü79EGQFU9Q 7cÌx8"ÆÉÈDAG5-7T4R8;AGU̖QF:9Q 58JŀÄD46ÃRQ‚K¬ÎPÐðÈGU946ADO79EGQ ÎDÈD46Ãu79Ê^46A ä¯åXæÉçDè ê åBækë‹ìVå ÆÉÈGAG5-7T4R8; A  U€ùV3Uû= ý 46A8;:TKDQ:7T8$UWÄsQQ‚KÈGĀ79EDQAPÈDŀQF:94‘5?Jà 58JŀÄDÈD7T?X7T4R8;A= ðQ@EG?zM;QU98JÃ6MJQ‚K APÈDŀQ:T465F?BÃ6ÃRÐ 79EDQ¨5VED8IUWQFA ËG8XÌùÄD:98;ÎDÃ6QÅ ÆÉ8;:h?Ì14‘KZQ¨:V?BADO;Q 8BÆ)79EGQ ÆÉ:9QFQFUW79:TQF?B. Å Ö?;5VE³AIÈGÅÎsQ:VUÞ;79EDQUWÈGÎGUW8;AD4‘5BÜB7T:T?JAGU98JAD4‘5BÜI?BAGK U9ÈDÄsQ:VUW8;AD4‘5hËG8XÌÍ:9QFOJ46ŀQFUF= ÂhEDQN7TED465VÝPADQ‚U9UWÊ^798BÊ{5VED8;:TK:V?X794688JÆD79EDQx546:T5ÈDÑ?B:š?J:T5˜46U–õFS ÿ ÆÉ8J:šU9ÈDÎGU98JAG465–?BAGK@7T:T?JAGU98JAD4‘5 5?JU9QFU«?BAGÔ K E ÆÉ8J:«79EDQ¯U9ÈDÄsQ:VUW8;AD4‘55?JU9QJ’ = ‘AD4RÆÉ8J:TÅ 4RADÃ6Q7«ËG8XÌ,?B“ 7 Ö?;5VE AIÈGÅÎsQ:VU ñ•” ÿ  Ñ U9ÈDÎGU98JAD4‘5 Õ ÜGÿD= s@u  Ñ 79:V?BAGU98JAD4‘5 Õ ?JAGK¯õ;= s  Ñ U9ÈDÄ>QF:TU98JAG465 Õ 4‘U1U9Ä>Q‚54R÷GQFKj= 8 Ù U?¯L 5:T4u7TQ:T4R8;AðÆÉ8;:¨79EGQ«APÈDŀQ:T465F?BØU98JÃ6ÈZ7T4R8;Aó58JAPM;Q:TOJQA>5Q798¯?¯Uc7V?X79468JA>?B:TÐÖÃR46ŀ4u7 L ÜsÌ1EDQ:T– ̖Q$E>?zMJQ5VEDQ‚5VÝJQ‚K«7TEDQ46ADQ ;È>?BÃ64u7cŒ Ð / ¦ Q / ¦ ų?Xß Tyk V = TW¦ k x V H P = Ty¦ k V 46U 79EGQ Ð 8 UW8;ÃRÈZ7T4R8;A :TQFU946KZÈ>?BÃ^cÜ ¬ ÿ 9cõ 9­9 ÜI?JAGK L 4‘U–?ÈGU9Q:9ÊaU9Ä>Q‚54R÷GQFK³U9ų?B  Ã6Ã>Äs8;U94R7946MJQ APÈD  ÅÎ>QF:Fà € 8 ̖Q@EG?zM;Q 7V?BÝ;QA#79EDQ¨MX?BÃ6ÈDQ L L õ‚L ÿ L ™ = 8 ‚ 7TEDQðlų?BßP46ÅÈGÅ Mz?JÃRÈGQ¯8BÆ79EDQ¯7946ÅQ¬UW79QFÄ › Ü1Ì1ED4‘5VE 46U RQ7µÈGU"KZQAG8B79QðÎPÐ › 8JÎZ7V?B46ADQFK#ÆÉ:T8JÅ Ñ c Õ 4uÆ8JAGQ¨:9QFÄDÃ6?;5Q‚Ux79EDQ UWÐPÅÎ>8;ÃÌ14u7TE"79EDQ¨Q IÈG?BÃ64u7cеUWÐPÅÎ>8;Ãk=GÂhEGQ ‚ ÜDÌ1EDQF:9Q › ?J5-7TÈG?BÃ?JQ:T8ZKZÐPAG?Bŀ4‘558JŀɘÄD— ÈZ7V?X7T4R8;AGUh̖QF:9Q@Ð ÄsQ:9ÆÉ8J:TŀQFK#Ì14u7TE › ™ ?;46UU ?«UT?XÆÉQ7cÐ#Ƌ?J5798;:FÜsÿ à õJ=sò{A79EDQ5?;UWQ$8JÆ Ó 4ROIU5= ³?BA> K DÜG79ED8, Q™ MX?Bô Ã6ÈDQ ÿ  ³Ìx ™QРɘ— ™ 8 L UWÄsQF54u÷GQ‚Kj= ò{Aó8J:VKZQ:$798ð5VEGQF5VÝð79EDQµ?J55ÈD:V?J5Ðø8BÆh7TEDQ#8;ÎZ7T?J4RAGQFK¬UW7T?BÎG4RÃ64u7cЬ58JAGKZ4R79468JA Ñ c Õ ÌxQ EG?zMJQhÄsQ:9ÆÉ8J:TÅQ‚K79EDQ:TÈDAGU?JÃ6U98$?X77TEDQ1MX?BÃ6ÈDQFU õJÜJÌ1ED465VE³58J:T:9Q‚UWÄs8JAGK79EGQ8J:TQ7T465F?BÃ6ÃRÐ 798³?BAµÈDAGUW7T?JÎDÃRQ@:TQO;4RŀQ@8BÆ58JŀÄDÈD7T?X7T4R8;A#ÎPÐ UT™› 5VEDš QŀQ Ñ õ s;Õ = Ù 7179EDQÆÉ:TQQ¨Uc7T:9Q‚?Bx Å ¯?J5VE AIÈGÅÎsQ: ñ•” ?BAGK õ79EDQ«58JŀÄDÈZ7V?X7T4R8;AøUW7946ÃRØÌx?;UUW7T?JÎDÃ6QJ=~Û 8X̖QFMJQ:‚Üj?X7 õ 79EDQF:9Q€ÎsQOJ46AGU@?µ:T?JÄD™ 4‘KÖ8 OJ:T8XÌh79Eð8BÆN7TEDQ U98JÃ6ÈZ79468JAð:9Q‚UW4‘KZÈG?Jt à / ¦ ?BY 7 ¬ ò DÜ?BAGKð™ ?BÃ6:98 Q‚?JKZL Ð ?XY 7 ¬ õJõ79EDQ€:TQFU946KDÈG?B à / ¦ QßD5QQFKGU 7TEDQ€4RAG4u7T46?JÃNMX?BÃ6ÈDœ Q / ÎPÐÖ?#Ƌ?J5-7T8J:@8BÆh?BÎs8JÈZY 7 D= ÂhEIÈ>UÜP8 Uc7V?BÎD46Ã64u7cг58;AGKZ4R79468JA Ñ c Õ 4‘U–U9ÈZÇ 546QAI79Ã6г?J5F5ÈD:V?X7TQ KZQF¥ U9ÄD4R79Q 79EDQ Ƌ?J57˜79E>?X7–4R7hÌx?;U 8JÎZ7V?B46ADQFK«ÆÉ:98;Ŷ7TEDQ¨ÃR46ADQ‚?B:T4RCFQFK³÷>AD4u7TQKZ4 sQF:9QFAG5Q@Q ;È>?X79468JA>U= ÂhEDQ:TQFU9ÈDÃu7VUNÄD:TQFU9QAI7TQFK€46A Ó 4RO>@= @ÎÜ 5 ?JAGK Ó 4RO>@= $ÎÜ 5 ?BOJ:TQQ1ÌxQÃ6ÃsÌ14u7TE³79ED8IUWQ 8BÆNô s ö^= ò{A³ÄG?B:9794‘5ÈDÑ?B:‚Üz79EGQ1ŀ?BßZ4RÅÈDÅ MX?BÃ6ÈDQ8JÆ>7TED Q Ö?;5VEAPÈDÅÎ>QF:N8JA7TEDQÃ68X̖QF:Ìx?JÃRÃD4‘UNÿG= s
 

õJõ 4RAð8JÈD:@5?;UWQ?B7 ñD” ÿ ZàS?BAGK46A ô s ö4R74‘U QIÈG?BÚ798"ÿD= u ÿ;ÿ³8JA¯?«Å€QFU9E¯8BÆU
• Í s 8 L AD8ZKZQFUF= ò{A 79EGQ@5F?JU9Q 8JƚU9ÈDÄ>QF:TU98JAG465 ËG8XÌ ?X7 ñ•” õ s  Ñ UWQFQ Ó 46OG= Õ ÜI7c̖88JÎDÃ64 ;ÈGQU9ED8Z5VÝZU ?B:TQ¯OJQFADQ:V?X7TQFK ?B7µÎs8B7TEùÃ6QF?;KZ46ADO ?JAGK 7T:T?J4RÃ68 4RAGO L Q‚KZOJQ‚U«8JÆ$79EDQ¬?J4R:9ÆÉ8J46Ãkà–79EGQFU9QøU9ED8Z5VÝZU ?B:TQÌxQÃ6Ã)MP4‘UW46ÎDÃ6Q46A Ó 46OG5= DÜSÎø?JU 79EDQ³U9ÈDÎD:TQOJ468JA>UÜ>4RAøÌ1ED4‘5VEðKZ4sQF:9QFAI7‹Ö?;5VEÖAPÈDÅÎsQ: 58JAI7T8JÈD:VUj58I?BÃ6QFUT5QJ= Ù A¨QßZÄG?JAGU94R8;A Ƌ?JA$5?JÈGUWQ‚K@ÎPÐ79EGQ–58;APMJQß?B46:WÆÉ8;4RÃJU9ÈD:9Ƌ?J5Q46UÆÉ8J:TÅQ‚K Î>Q7c̖QFQAµ79EDQ¨Ã6QF?;KZ46ADOBÊN?BA>K«7T:T?J4RÃ646ADOBÊaQFKZO;QU9ED8Z5VݳÌh?zMJQFUF=



|𽖺 À5W¿¼PÁc½˜º

ÂhEDQ¨ÄDÈD:TÄ>8IUWQ@8Jƚ8JÈG:1ÄD:9Q‚UWQFAI71?JQ:T8ZKZÐPAG?Bŀ4‘5 58JŀÄDÈZ7V?X79468JA>UhÌx?;Ux7c̖8JÆÉ8JÑKjÞ

ž MX?BÃ646KD?B79468JAø8BƖ79EDQ 58JŀÄDÃ6QßðUW7T?JÎD4RÃ64R7cЯ58;AGKZ4R79468JAø8JÎZ7V?B46ADQFKðÌ14u7TEø79EDQ ?J46Kð8BÆ äÖåBé æ çGè ê åXæ^ë‹ìVå à ž 79EDQ¨46APMJQ‚Uc7T4ROI?X79468JAµ8BÆ)79EGQ$?BÎD46ÃR4R7cЫ8JÆ ä¯åXæÉçDè ê åXæ^ë‹ìTåµíIîï 798³U98JÃ6MJQ@APÈDŀQ:T465F?BÃ6ÃRÐ#UWÈZÆÊ ÷>546QAI7TÃRе58JŀÄDÃ6Qß ÒxÓ)Ô ÄD:98;ÎDÃ6QųU=

ðQµ5?BA¬U9ÈDŀų?B:T4RCFQ³79EDQ«:9Q‚UWÈDÃR7TU8BÆ18JÈG:$APÈDŀQ:T465F?BØ?JQ:T8PKDÐIA>?Bŀ465³58JŀÄDÈZ7V?X7T4R8;AGU$46A 79EDQ ä¯åXæÉçDè ê åXæ^ë‹ìTå QAPMP4R:T8JAGÅQFAI7h?;UxÆÉ8JÃ6ÃR8XÌUF= Ñ 4 Õ ÂhEDQ¬ÄD:TQFU9QAI79Q‚KùUW7T?JÎD4RÃ64R7cÐù58;AGKZ4R79468JAÜ1Ì1EG465VEª7T?JÝJQ‚U"4RAI798 ?;558;ÈDAI7Î>8J79E·79EGQ OJ:T46K 798;Ä>8;ÃR8;OJÐó?JAGKÍ?B:9794R÷>54‘?Bà KD46UTUW46ÄG?B79468JAÜ4‘U«58J:T:9Q‚5-7F = 8;:9QF8XMJQF:FÜ)79EGQÖ58JAPM;Q:TOJQA>5Q 798 UW79QF?;KZЫUW7T?B79Q@Î>Q‚58;ÅQ‚UxƋ?JUW79QF:h79EG?JAµ46Aµ79EDQ¨8;:946OJ46AG?J%à âI?BŀQ‚UW8;) A Ÿ UxŀQ7TED8ZKãô Xö^= Ñ 464 Õ ÂhEDQ46ŀÄDÃRQFŀQAI7T?B79468JAÖ8JÆ79EDœ Q Ö?X7TEDQų?X7T465F?€ÆÉÈDAG579468J A  U€ùV3Uû= ý46AÖ8JÈG: ?BQ:T8ZKZÐPAG?Bŀ4‘5€58ZKZQ«U9Ä>QFQFKDU$ÈDÄã79EDQ«QßZQF5ÈZ79468JAã8JAGÃRÐøÎPÐð?µÆ‹?J5798;:$8BÆ 
„DÜ46AGUW79QF?;Kø8BÆ 79EDQ@Ƌ?;5-798;:18Bµ Æ ½J?JUhÑ?B:TOJQ@?JU Jÿc½ÄD:T8Jŀ46U9QFK#46A#7TEDQ ä¯åXæÉçDè ê åBækë‹ìVå ų?JAIÈ>?BÃ^= ò{A 58;ADADQ‚5-79468JAñÌ14u7TEó79EGQ#:TQFU9ÈDÃR7 Ñ 4R4 Õ Ü7TEDQ«ÆÉ8;ÃRÃ68XÌ146ADOÖ7cÌx8¯Ìh?zÐZU¨ÆÉ8J:79EGQ"U9ÄsQQFKDÈDÄ 8BÆ179EGQ#APÈDŀQ:T4‘5?BÃx58;ÅÄGÈZ7T?B79468JAGU4RAñ79EDQ äÖåBæçGè ê åXæ^ë‹ìVå QAPMP4R:T8JADŀQFA;7?BÄDÄsQF?J:7T8¯ÎsQ ÄD:98;ŀ46U94RAGOGÞ Ñ ? Õ 7TEDQ¨ÈGU9Q@8BÆ)ÆÉÈDAG5-7T4R8;AGU58JŀÄD46ÃRQ‚K ÆÉ:T8JÅ Ó×Ø Â ØÙ Ú 8;: Ò à Ñ Î Õ ÄG?J:T?JÃRÃ6QÃ646CF?X7T4R8;A«8Jƚ7TEDQ¨QßZÄDÃ64654u7 Ø ÈDADOJQÊ @ÈD7W7T?7T4RŀQ$UW79QÄGÄD4RAGO€UT5VEDQFÅQ‚U=  "£¹W"~¼-"~º À%" ¼

‡F† M † ˆ †–ˆhn]IVtInÖnF]P“¬±† M †
M~gFlcgFVtX`c_{gyZ†
¡ ¢5£¥¤¦`§¨ª©\«O¬ ­\« ¢5®¯§­°±S²³­¦‰´‡©?¦®¯§©«’µ˜§ ¶’¤¦ª¤°®¯§©\« ·
¸ ¢©®¯§­°±f¹´t¦º­\»f«&¤£¼¬ ­\« ½b§