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https://doi.org/10.4224/5763247

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ARTag, An Improved Marker System Based on ARToolkit

Fiala, Mark

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National Research

Council Canada

Institute for

Information Technology

Conseil national

de recherches Canada

Institut de technologie

de l'information

ARTag, An Improved Marker System Based on

ARToolkit *

Fiala, M.

July 2004

* published as NRC/ERB-111. July 28, 2004. 36 Pages. NRC 47166.

Copyright 2004 by

National Research Council of Canada

Permission is granted to quote short excerpts and to reproduce figures and tables from this report,

provided that the source of such material is fully acknowledged.

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National Research

Council Canada

Institute for

Information Technology

Conseil national

de recherches Canada

Institut de technologie

de l’information

ART a g, An I m prove d M a rk e r

Syst e m Ba se d on ART oolk it

Fiala, M.

July 2004

Copyright 2004 by

National Research Council of Canada

Permission is granted to quote short excerpts and to reproduce figures and tables from this report,

provided that the source of such material is fully acknowledged.

NRC-47166

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✘✚✙✜✛✣✢✎✤✜✥✧✦✩★✑✪✬✫✮✭✰✯✑✱✌✱✑✆ ✲ ✳ ✴✶✵✸✷✺✹✻✲ ✼ ✽✿✾ ❀❂❁❄❃❆❅❈❇❊❉ ❋ ✵●❁■❍❏❇❊❁ ❑▼▲❖◆◗P❘❇❊✾ ❙ ✵●◆◗❇❊❉ ❃❚✼ ✲ ✳ ✴❯❃✝❃❲❱✡❍❨❳✎P ❩❭❬❫❪❵❴✝❛❘❜❝❬❡❞❢❬ ❣✐❤❦❥♠❧✒♥♣♦ ❬ ♦ ❜ ❤❡q ❬❡❞✒rs❜❝t✈✉ ❤❚✇ ❪ ❤❦♥✈❧ ① q✚②☞♦ ❜♦③♥♣♦ ✉s④ ❤ ❪⑤① q ④ ❤ ❪ ❥ ❬ ♦ ❜ ❤❦q❚⑥ ✉✡⑦✌⑧ q✚❤ ❞ ❤❡⑨❡⑩ ❶✩❬ ♦ ❜ ❤❦q ❬❡❞❸❷❹✉ ② ✉✬❬❫❪❺⑦✌⑧ ❣✐❤❦♥✚q ⑦❻❜❝❞ ❣ ❬ q ❬❡t✒❬ ❼❾❽❫❿➁➀➃➂➅➄❻➆➇➀ ➈➊➉➊➋✡➌➁➌☞➍➏➎➅➐➒➑✑➓→➔↔➣✚↕➇➙✗➛➝➜➞➔➠➟✟➡✗➡➢➙➁➔➝➔➥➤➒➟✟➦➇➣➇➧✟➨✔➛➝➩➇➫❻➟✟➔➥➭↔➯➲➣☞➛➝➳➇➙✗➛❫➔➥➜✌➔➥➭➥➙➁➯♠➟✟➔➥➙➁➨❸➤✣➩➇➛❫➵➊➟✎➸❵➯✿➙➁➧③➭➥➙➁➨ ➺ ➙➁➣➇➦→➓→➭➻➜➽➼➒➵ ➺➊➾➪➚ ➓➶➭➝➔✂➛➝➩➇➫✡➟✟➔➥➭✂➹➘➙✗➛➠➤✮➩➇➛➠➯➲➣➇➧✟➡➢➙❾➴❻➣➇➔✂➔➝➹❻➣➁➷✖➧✟➙➁➨✩➯➲➣➇➧❺➜✩➣☞➹✟➹❻➦→➓→➡✗➣☞➭➝➓→➩❵➧✟➔➬➓➮➧➱➵ ➺ ➣➇➧✟➨✃➡➢➩❵➯✿➹❻➟✎➭➥➙✗➛☎↕✌➓→➔➝➓➶➩❵➧❒❐❮➵ ➺❦❰ ➩③➩❵➦➶➳✌➓➶➭☎➡➢➩❵➧✟➔➝➓→➔➝➭➝➔❮➩➇➤Ï➔➥➙✗↕➇➙✗➛➠➣➇➦ÑÐ☞Ò✝➹✡➦→➣➇➧✟➣☞➛✖Ó✡➨✟➟✟➡✗➓→➣➇➦❫➯❘➣☞➛➝➳➇➙✗➛ ➹❻➣☞➭➥➭➥➙✗➛➠➧✟➔➬➣➇➧✟➨⑤➔➥➩➇➤✣➭➻➷✈➣☞➛➝➙❾➭➝➴✟➣☞➭✔➛➠➙➁➡➢➩➇➸❵➧✟➓➶Ô✗➙➁➔✔➣➇➧❻➨Õ➓→➨✎➙➁➧③➭➝➓➶Ó✟➙➁➔☎➭➝➴✟➙➁➔➥➙❄➯❘➣☞➛➠➳➇➙✗➛➠➔✔➓→➧Õ➓→➯❘➣☞➸➇➙➁➔✗❐ Ö ➭✔➤✣➟✟➧❻➡➢➭➝➓➶➩❵➧✟➔❸➷♣➙➁➦→➦Ñ➓→➧✰Ó✡➧✟➨✟➓→➧✎➸×➯❘➣☞➛➠➳➇➙✗➛➠➔ ➚ ➴✎➩➃➷♣➙✗↕➇➙✗➛✂➓→➭➝➔❸➹✬➙✗➛➝➤✮➩➇➛➪➯❘➣➇➧✟➡➢➙❘➷✖➓→➭➝➴❹➛➝➙➁➔➥➹✬➙➁➡➢➭➞➭➥➩ ➤✣➣➇➦➮➔➥➙Ø➹✬➩❵➔➝➓➶➭➝➓→↕➇➙✐➨✎➙✗➭➥➙➁➡➢➭➝➓➶➩❵➧❻➔❾➣➇➧❻➨✸➓→➧③➭➥➙✗➛➥Ù➻➯❘➣☞➛➠➳➇➙✗➛■➡➢➩❵➧✟➤✣➟✟➔➠➓➶➩❵➧Ú➡➢➩❵➟✟➦➮➨✸➟✟➔➝➙✐➓→➯✿➹❻➛➝➩➃↕➇➙➁➯✿➙➁➧③➭✗❐ Û ➟✟➓➶➭➥➙Ø➩➇➤✮➭➥➙➁➧➽➯❘➣☞➛➝➳➇➙✗➛➠➔❾➣☞➛➝➙✃➡➢➩❵➧✎➤✣➟❻➔➥➙➁➨❆➤✣➩➇➛❄➩❵➧✟➙✐➣➇➧✎➩➇➭➝➴✎➙✗➛❾➩➇➛❾➤✣➣➇➦→➔➝➙➁➦➶➜✩➨✟➙✗➭➥➙➁➡➢➭➥➙➁➨➽➓➮➧❆➭➝➴✎➙ ➫❻➣➇➡➝➳✑➸➇➛➝➩❵➟✟➧❻➨❒❐❾➵ ➺❦❰ ➩✑➩❵➦➶➳✌➓➶➭✔➯❘➣☞➛➠➳➇➙✗➛➠➔➬➡➢➩❵➧❻➔➝➓→➔➥➭➞➩➇➤✚➣✐➔➝Ü③➟❻➣☞➛➝➙❘➫❻➦→➣➇➡➠➳❹➫➘➩➇➛➪➨✎➙✗➛➞➙➁➧✟➡✗➦➶➩❵➔➠➓→➧✎➸Ø➣ ➹❻➣☞➭➥➭➥➙✗➛➠➧×➭➝➴❻➣☞➭✒➓→➔✚➡➢➩❵➯✿➹❻➣☞➛➝➙➁➨Ý➭➥➩❘➔➥➙✗↕➇➙✗➛➠➣➇➦Þ➔➝➭➥➩➇➛➝➙➁➨■➹❻➣☞➭➥➭➥➙✗➛➠➧✟➔✒➫③➜■➡➢➩➇➛➝➛➝➙➁➦→➣☞➭➝➓→➩❵➧❒❐ ❰ ➴✟➓→➔♣➹❻➣☞➹✬➙✗➛ ➹✟➛➝➩➇➹✬➩❵➔➥➙➁➔❦➣❸➯✿➙✗➭➝➴✎➩✌➨◗➭➥➩❸➛➝➩➇➫❻➟❻➔➥➭➝➓➶➤✣➜❸➭➝➴✟➓→➔❦➯❘➣☞➛➝➳➇➙✗➛ß➔➝➜✑➔➥➭➥➙➁➯❲➫✑➜✔➛➠➙✗➹❻➦→➣➇➡✗➓→➧✎➸➊➭➝➴✟➓→➔❦➡➢➩➇➛➝➛➠➙➁➦→➣☞➭➝➓➶➩❵➧ ➔➥➭➥➙✗➹❹➷✖➓➶➭➝➴✃➣■➨✟➓➶➸❵➓➶➭➝➣➇➦❡➔➥➜✌➯✔➫✬➩❵➦❡➯✿➙✗➭➝➴✎➩✌➨❒❐ ❰ ➴✎➙◗➓→➧❺➭➥➙✗➛➪➓➶➩➇➛❮➸➇➛➠➙✗➜✑➔➝➡✗➣➇➦→➙✂➹✡➣☞➭➥➭➥➙✗➛➠➧❹➓→➔➊➛➝➙✗➹❻➦→➣➇➡➢➙➁➨ ➫③➜✰➣✐➨✟➓➶➸❵➓➶➭➝➣➇➦❦➹❻➣☞➭➥➭➥➙✗➛➪➧Õ➩➇➤✒à➇á×➫✡➓➶➭➝➔❸➷✖➴✟➓➮➡➠➴⑤➡➢➩❵➧③➭➝➣➇➓→➧✟➔✂➣Ý➟✟➧✟➓➮Ü③➟✎➙ Ö Ò❭➧✑➟✟➯✔➫✬➙✗➛➞➹❻➛➝➩➇➭➥➙➁➡➢➭➥➙➁➨ ➤✮➛➠➩❵➯✝➤➒➣➇➦→➔➥➙➊➨✎➙✗➭➥➙➁➡➢➭➝➓➶➩❵➧■➷✖➓➶➭➝➴➲➭➝➴✎➙☎➨✟➓➶➸❵➓➶➭➝➣➇➦✡➡➢➩✑➨✎➙➊➭➥➙➁➡➠➴❻➧✟➓→Ü✑➟✎➙➁➔ß➩➇➤❫➡➠➴✎➙➁➡➠➳✑➔➝➟❻➯❘➔✈➣➇➧✟➨❾➤✮➩➇➛➝➷✈➣☞➛➠➨ ➙✗➛➝➛➝➩➇➛Ø➡➢➩➇➛➠➛➝➙➁➡➢➭➝➓➶➩❵➧✝➼➒â❦ã♣ä ➾ ❐ ❰ ➴✟➓➮➔❄➹❻➛➝➩➇➹✬➩❵➔➥➙➁➨❏➧✎➙✗➷å➔➥➜✌➔➥➭➥➙➁➯ ➚ ➈➊➉☎➋❻æ➁ç➱➴✟➣➇➔Ý➣❆↕➇➙✗➛➝➜➽➦→➩➃➷ ➣➇➧✟➨Ú➧✑➟✟➯✿➙✗➛➪➓→➡✗➣➇➦→➦➶➜sÜ③➟❻➣➇➧❺➭➝➓➶Ó✡➣☞➫❻➦➶➙×➙✗➛➝➛➝➩➇➛❾➛➠➣☞➭➥➙ ➚ ➴❻➣➇➔❄➣Õ➛➝➙➁➨✟➟✟➡➢➙➁➨Ú➹✟➛➝➩✌➡➢➙➁➔➝➔➝➓→➧✎➸Õ➭➝➓→➯✿➙ ➚ ➣➇➧✟➨ ➡✗➣➇➧s➙➁➧✟➡➢➩✌➨✎➙×➟✎➹➱➭➥➩ÕÐ☞è☞é❺á❹➨❻➓ëê➘➙✗➛➠➙➁➧❺➭✿➟✟➧✟➓➮Ü③➟✎➙ Ö Ò✂ìí➔◗➷✖➓➶➭➝➴s➧✎➩✰➧✎➙✗➙➁➨✩➭➥➩✰➔➥➭➥➩➇➛➝➙×➹✡➣☞➭➥➭➥➙✗➛➠➧✟➔✗❐ ãÑî✌➹✬➙✗➛➠➓→➯✿➙➁➧③➭➝➣➇➦✬➛➝➙➁➔➝➟✟➦→➭➝➔✚➣☞➛➝➙➞➔➝➴✎➩➅➷✖➧×↕☞➣➇➦→➓→➨✟➣☞➭➝➓→➧✟➸✂➭➝➴❻➓→➔✚➯✿➙✗➭➝➴✎➩✌➨❒❐

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☞ ✌✎✍✑✏✓✒✕✔✗✖✙✘✛✚✜✏✓✢✣✔✤✍ ✥ ✦ ✧✩★✫✪✬✍✭✪✮✒✝✯✰✪✮✒✕✱✳✲✴✒✶✵✑✷✭✸✎✏✓✲✺✹✻✸ ✼ ✽ ✾✝✿❁❀❂✔❃✔✤★✫✱✗✢✫✏ ❄ ✥ ✾✝✿❁❀❂✪✮❅ ☞✳☞ ✼ ❆✗✪✬★❇✸✎✲❈✧❉✔✤✸❊✢❋✏✕✢✫●✤✲❍✯✰✪✮✒✕✱✳✲✺✒✝■❏✲❑✏✓✲✺✚✜✏✕✢✫✔✤✍ ☞✺✽ ▲ ▼❏✍✛✢✣◆❃✘✭✲❖✍✭✲✺✸❊✸☎✔✳P◗✯✰✪✮✒✕✱✳✲✺✒❘✸✜❙❚✿✝✲✺✖✙✘✛✚❑✢✣✍✙❅❯✌❱✍✤✏✓✲✴✒✓❲❳✯✰✪✮✒✕✱✳✲✺✒❏❨❩✔✑✍✭P❬✘✙✸❊✢✫✔✑✍ ☞✺❄ ☛❪❭➮✠ ❫◗✥❱❴➪✛❛❵✌✢✬✛✮✢✮❵■✤❳❜➘✥❚❝✂✁✟❞✛❡✜❵❣❢ ✛✐❤✬❡✑✙➠✭❥❭❚❭❩❭❚❭❩❭❚❭❁❭❩❭❚❭❚❭❩❭❚❭❩❭❚❭❚❭❩❭❚❭❁❭❩❭❚❭❩❭❚❭❚❭ ✯✡✠ ☛❪❭✯ ❝✂✦✬✙➪✥❱❴❦❴✜✛✣✢❪❵✃✁➞✥✎❧❒✥✎♠➅✤✜✛❛♥✌✢✮❴♦❭❩❭❚❭❩❭❚❭❚❭❩❭❚❭❩❭❚❭❁❭❩❭❚❭❚❭❩❭❚❭❩❭❚❭❚❭❩❭❚❭❁❭❩❭❚❭❩❭❚❭❚❭ ✯✌✯ ☛❪❭q♣ ✁✔✥✎♠❱♥sr❣rØ✥✧✢✬✦✬✥➅✦✶t✡✪✮❤✮❴➪✥➅✤✉♥✜✈Ï✤✇❜✬✥❁❝◗✁✟❞✛❡✜❵☎❢Ñ✛❛❤✬❡✑✙➠✭①❭❚❭❩❭❚❭❩❭❚❭❚❭❩❭❚❭❁❭❩❭❚❭❩❭❚❭❚❭ ✯✑☛ ② ✾✝✿❁❀❂✪✮❅③✪✬✍✙✖④✾✝✿❁❀❂✔❃✔✤★✫✱✗✢❋✏✝✯⑤✢✣✍✛✢✣✹⑥✘✛✹ ✧❉✪❪✏❊✏❊✲✺✒❘✍④✵✗✢✫⑦❑✲⑧✪✬✍✛✖⑨✏✕⑩✭✲♦❆✗✪✬★✣✸❱✲❯❶✶✲✴❅✳✪❖❲ ✏✕✢❋●✑✲❷■①✲✴✏❊✲❖✚✜✏✓✢✣✔✤✍❸✿❹✪❪✏✓✲ ✦✳❄ ❄ ✧❩✒✕✔✗✚s✲✺✸❊✸❱✢❇✍✭❅✻❀❩✢❇✹♦✲ ✦✳❺ ❺ ✾✝✿❁❀❂✪✮❅♦▼❍✸✎✪✮❅✳✲ ✽✬❻ ☞✴❻❯❨❩✔✑✍✙✚❑★✣✘✛✸❊✢✫✔✤✍✛✸ ✽✬❻

(6)

✁ ❫◗✥❱❴➪✛❛❵✌✢➘✛✣✢✮❵ r☎❡✑✙☞☛③✥✧✙✇❴ ✤❳♥ ❡✑✦✬✦❘✤❳♥✔✤❳❜✬✥✖✥✧✢✍✌❻✛✣✙❦♥✌✢✮rØ✥✧✢✎✤✛✈✫♥✑✙ß✙❦♥s❤✬✪✮❴➠✤♣✦➘✥➅✤➢✥✎♠➅✤✜✛❛♥✌✢❄✛✣✢❚♠❊❡✜rØ✥✧✙✇❡✉❡✑✢➘✦✎✌❻✛✣✦✬✥✎♥ ✛❛r☎❡✜❵✌✥➅✙➪✭❾✛❛❴ ❡❚♠✎♥sr✑✏➘✪➘✤➢✥➅✙✒✌❻✛❛❴➪✛❛♥✌✢☎❡✓✏✔✏➘✫✣✛❛♠❱❡③✤➢✛✐♥✌✢×✪✮❴➪✥✎✈✪✬✫↔✤❳♥✖✕✘✗✚✙✓✛✢✜✤✣✦✥✧✜☞★✎✩✪✜☞✫✓✬✮✭✯✥✱✰✳✲✴✏✤♥s❴➪✛✮✤➢✛✐♥✌✢×✤➢✙✇❡✜♠✵☛✌✕ ✛✣✢❪❵✔✲✶✏✮❜✮♥✑✤✇♥③✕❬r❣♥✡✦➘✥✧✫✣✛✮✢✮❵❁❡✑✢✬✦✃✙✇♥s❤✤♥✑✤✖✢✬❡✷✌❻✛❛❵❑❡③✤✜✛❛♥✌✢ ❭✄✕✘✗✓✙✓✛✢✜✤✣✦✥✸✜☞★✎✩✪✜☞✫✓✬✮✭✯✥✱✰✖✹✣❝✂✁✘✺☛♥✌✙✼✻✽✭✿✾✴✜☞★✖✩✪✜☞✫✓✬✮✭✯✥✱✰ ♠❱♥✑✢✮❴✜✛✐❴➪✤❳❴ ♥ ✈Ï✙➪✥✧✢✬✦➘✥✧✙✜✛✮✢✮❵❀✌❻✛✣✙➠✤➢✪✬❡✑✫✑♥s❤❂❁➪✥✎♠➅✤❳❴❸✛✮✢❹✙✜✥❱❡✑✫❦✛✐r❹❡✜❵✑✥✧✙➪✭✓✲❪❡③✢✬✦✰✛❛❴➊✤➥✭❂✏✬✛✐♠❊❡✑✫✮✫✮✭Ø✛✣✢✎✤✜✥✧✢✬✦✬✥➅✦①✈✫♥✌✙ ❡✓✏✡✕ ✏✬✫✮✛❛♠❊❡❺✤➢✛❛♥✑✢✮❴❮✪❪❴✜✛✣✢❪❵☎❡ ❜➘✥❊❡✑✦❏r❣♥✌✪✬✢✎✤➢✥➅✦Õ✦➘✛❛❴☞✏➘✫❡☞✭✞✹❄❃❆❅❷❫❇✺ ❭❪❞ ❜✬✥❁♠❱❡✜r✐✥➅✙❳❡■✛✐r❹❡✜❵✑✥✉✈✫♥✌✙ ❡ r❣♥✌✢✮♥✺♠✧✪➘✫❡✑✙ ❴➪✭✺❴➠✤➢✥❱r❈✲❪♥✑✙✖✤✇❜✬✥✂✛✐r❹❡✜❵✑✥❱❴☛✈ ✙✇♥sr ✤✧❉ ♥ ♠❊❡ r✐✥➅✙❳❡✜❴✖✛✣✢❹❡❩❤✬✛✮✢✮♥❖♠➅✪✬✫❡③✙ ❴➠✭✺❴➪✤➢✥✎r❊✲❪❡✑✙✜✥◗♥❋✌✌✥➅✙✜✫❡③✛✣✦✑❉➞✛➮✤❳❜✐✙✜✥✧✢❻✕ ✦✬✥➅✙✜✥✧✦✆✌❻✛✣✙➠✤➢✪✬❡✑✫✑♥s❤❂❁➪✥✎♠➅✤❳❴✉❡✑✢✬✦✰✤✇❜✬✥✧✢✆✏✬✙➪✥❱❴✜✥➅✢✎✤➢✥✧✦Õ✤❳♥×✤❳❜➘✥✿✥➅✭✌✥●✏✬✛✣✥✎♠✧✥➲✦✬✛❛❴❍✏✬✫ ❡☞✭✺❴❸✛✣✢❪❴✜✛✣✦➘✥◗✤❳❜✬✥❇❃✘❅❷❫ ❭✔■ ✈ ✤❳❜➘✥❏✏✤♥s❴➪✥❩♥✜✈✟❡ ♠❊❡✜rØ✥✧✙✇❡❣♥✌✢✶❡✑✢❈❃❆❅✶❫ ✛❛❴ ♠✎♥✌✙✜✙➪✥❱♠➅✤✜✫✮✭✰✦➘✥➅✤➢✥➅✙✇rØ✛✣✢✬✥➅✦❑✲✬✤❳❜➘✥❏✌❻✛✣✙➠✤➢✪✬❡③✫❃♥s❤❂❁➪✥✎♠➅✤❳❴◗♠❊❡③✢❷❤Þ✥ ✙✜✥➅✢✬✦✬✥➅✙✜✥✧✦⑥♥✌✢✎✤✇♥✃✤❳❜✬✥❩♠❊❡✜rØ✥✧✙✇❡✃✛❛r☎❡✜❵✌✥✚✹✣❴▲✺▼❉➞✛➮✤❳❜❈♠✎♥✌✙✜✙➪✥❱♠➃✤✿✫❛♥✺♠❊❡③✤✜✛❛♥✌✢❍❡✑✢➘✦✽✏❫✥➅✙✇❴❍✏❫✥✎♠➅✤➢✛◆✌✌✥■✤✇♥❖✏✬✙✇♥❋✌❻✛✣✦➘✥ ✤❳❜➘✥➲✛✮✫✣✫✮✪✮❴✜✛✐♥✌✢✝♥✜✈✛❤❫✥➅✛✣✢✮❵P✏➘✙✜✥❱❴➪✥✧✢✎✤❊❭ ❞ ❜✬✥❀❃✘❅❷❫ ♥✌✙◗♠❊❡ r✐✥➅✙❳❡❘◗❴❙✏✤♥s❴➪✥❩♠❱❡✑✢❈❤Þ✥❄✦✬✥➃✤➢✥➅✙✇rØ✛✣✢✬✥➅✦❊❉➞✛✮✤✇❜✶r☎❡✜❵✌✢➘✥➅✤➢✛✐♠❯❚❒✥✧✫✮✦❑✲❫✙✇❡✑✦✬✛✐♥✔✲✳❡✜♠➅✤✜✛❱✌✑✥ ❢ ✏ ❫ ♥✌✙♣✫❛❡✜❴✜✥➅✙✛❤Þ✥❊❡ ♠❱♥✌✢✮❴●❲❑♥✌✙✙r☎♥s❴➠✤✟❴➪✛❛r❳✏✬✫✮✭❚❡③✢✬✦❾✛✮✢✬✥✤❨✴✏Þ✥✧✢✮❴➪✛❱✌✌✥➅✫✮✭✓✲✚❉➞✛✮✤❳❜✎✏✬❡✜❴❦❴✜✛❱✌✑✥ r☎❡✑✙☞☛③✥✧✙❩✏✬❡③✤✜✤✜✥✧✙➪✢✮❴ ❡✑✢✬✦❏♠✎♥sr✑✏➘✪➘✤➢✥➅✙✪✌❻✛✐❴✜✛❛♥✑✢❃❭ ❞ ❜✬✥✠✈ ✪➘✤✜✪✬✙✜✥❇✏✬✙❦♥sr✐✛✐❴✜✥✎❴▼✏✬❡✜❴❦❴✜✛❱✌✑✥❩♠❱❡✜rØ✥✧✙❳❡■✫✐♥❖♠❱❡✑✫✣✛❱❬❊❡③✤✜✛❛♥✌✢☎❴➪✭✺❴➪✤✜✥❱r❣❴➞✪✮❴✜✛✮✢✮❵ ♥✌✢✬✫➮✭×✤❳❜✬✥✔✢✬❡③✤✜✪✬✙❳❡③✫❫✥➅✢✶✌❻✛✮✙✇♥✌✢✮rØ✥✧✢✎✤❭✲❖❤✬✪✡✤ ✈✫♥✌✙✖✢✮♥❋❉❚✤❳❜➘✥ r❣♥s❴➪✤✖✙✇♥✜❤✬✪✮❴➪✤ ❡✑✢✬✦①❡✷✌ ❡✑✛✮✫❡✜❤✬✫✮✥ ❴➪✭✺❴➠✤➢✥❱r❣❴☎✪✮❴➪✥ ✏✬❡③✤➪✤➢✥➅✙✜✢✮❴ ♥✌✙❂♥s❤✶❁➪✥❱♠➅✤✇❴ ❡✑✦➘✦✬✥✧✦❹✤✇♥❄✤❳❜➘✥✂✥✧✢✍✌❻✛✣✙❦♥✌✢✮rØ✥✧✢✎✤❂✈✫♥✑✙✖✤✇❜✬✥❙✌❻✛❛❴➪✛❛♥✌✢☎❴➪✭✺❴➪✤✜✥❱r ✤❳♥❄✦✬✥➅✤✜✥❱♠➅✤☎✛✣✢❹♥✑✙✜✦✬✥➅✙ ✤❳♥Ý✫✐♥❖♠❱❡✑✫✣✛❱❬✧✥➬✤✇❜✬✥❁♠❊❡✜rØ✥✧✙✇❡❪❭ ✯✜❫❪✏✬✫❛❡✑✢✬❡✑✙❫✏✬❡③✤✜✤✜✥✧✙➪✢✮❴ ♠❊❡③✢ ❤❫✥ ❡③✦✬✦✬✥✧✦■✤✇♥◗✤❳❜✬✥➊✥✧✢✍✌❻✛✣✙✇♥✑✢✮r✐✥➅✢✎✤ ❡✑✢✬✦×✙➪✥❱♠❱♥✜❵✌✢✬✛❴❬➅✥✧✦×✛✮✢❄✤❳❜➘✥ ♠❊❡✜rØ✥✧✙✇❡ ✛❛r☎❡✜❵✌✥✎❴❱❭✛❝❭✯✜❫❵✏✬✫❛❡✑✢✬❡✑✙ r☎❡✑✙☞☛③✥✧✙❂❴➠✭✺❴➪✤➢✥✎r ♠✎♥✌✢✮❴✜✛✐❴➪✤✇❴❂♥✜✈✭❤✤♥✑✤❳❜✝❡❩❴✜✥➃✤ ♥✜✈❛✏✬✫❛❡✑✢✬❡✑✙✒✏✬❡③✤➪✤➢✥➅✙✜✢✮❴❂❡✑✢✬✦❹✤❳❜➘✥ ❡✜❴❦❴✇♥✺♠✧✛❡❺✤➢✥✧✦❷♠❱♥sr❳✏✬✪➘✤✜✥✧✙✪✌✡✛✐❴✜✛✐♥✌✢❈❡✑✫✐❵s♥✌✙➪✛✮✤❳❜❪r☎❴☎✤✇♥❹✙✜✥✎♠❱♥s❵✌✢➘✛❴❬✧✥❘✤❳❜➘✥❱r❯✛✣✢❈❡③✢✩✛❛r☎❡✜❵✌✥ ❭✉t❖♥srØ✥❩❴➠✭❻✤✜✥❱r❣❴ ❡✑✫✮✫❛♥❋❉●✤❳❜➘✥ ✈ ✪✬✫✮✫❖❴➪✛◆❨❄✦✬✥❱❵✑✙✜✥✧✥✎❴☛♥✜✈✮✈ ✙➪✥✧✥✧✦❪♥sr ♥ ✈❜✏✑♥s❴➪✥ ❡✜❴Ï✙✜✥❭❝✟✪✬✛✮✙✜✥➅✦ ✈✫♥✌✙ ❡✑✪❪❵sr✐✥➅✢✎✤➢✥✧✦❾✙✜✥❊❡③✫✣✛✮✤➥✭❁❴➠✭✺❴➪✤➢✥✎r☎❴✎❭ ♣s❫④♥s❤✶❁➪✥❱♠➅✤✇❴ ♠❊❡③✢①❤❫✥➬✙✜✥✧✢➘✦✬✥✧✙➪✥✧✦⑤✪✮❴✜✛✮✢✮❵❾✤✇❜✬✥❆✏✤♥s❴✜✛➮✤➢✛❛♥✑✢☎♥✜✈Ñ✤✇❜✬✥◗✙➪✥❱♠❱♥✜❵✌✢✬✛❴❬➅✥✧✦❞✏✬❡❺✤✜✤➢✥➅✙✜✢❹✛✮✢✃✤❳❜➘✥◗✛❛r☎❡✜❵✌✥ ✹➻✛✈✙❴✇♥srØ✥✿✛✣✢✎✤➢✙➪✛✣✢✮❴➪✛❛♠❉♠❱❡✜rØ✥✧✙❳❡P✏✬❡③✙❳❡✜rØ✥➅✤✜✥✧✙✇❴◗❡✑✙➪✥❯☛✟✢✮♥❋❉➞✢❜✺ ❭❮✘✛♥s❴➪✥❘✛✣✢❪✈✫♥✌✙❦r❹❡❺✤➢✛❛♥✑✢❹♠❊❡③✢✶❤Þ✥❘✥✤❨❻✤➢✙✇❡✜♠➅✤✜✥✧✦ ✈ ✙✇♥✜r✻✤❳❜➘✥P❡✦❢✳✛✢❢☞✙✓❣❍✫✤❤✦❡❂✰❥✐➶✠❧❦❋♠Ñ✤❳❜✬❡③✤➞✦➘✥❱❴✇♠➅✙✜✛✐❤❫✥✎❴✔✤✇❜✬✥❇✏✬❡③✤✜✤✜✥✧✙➪✢Õ✤✇♥Ø✛✐r❹❡ ❵✌✥❆✏✬✫❛❡✑✢✬✥✠r☎❡✓✏✔✏✬✛✮✢✮❵✮❭ ❅➱✥➅✤✜✙✜✛✐♠❱❴✈✦✬✥✎❴✇♠➅✙✜✛❛❤➘✛✣✢✮❵❆✏Þ✥✧✙ ✈✫♥✌✙✇r☎❡✑✢✮♠➅✥❂♥✜✈❘❚❒✦✬✪✮♠➅✛❡✑✫✺r❹❡③✙☞☛✑✥➅✙ ❴➪✭✺❴➠✤➢✥❱r❣❴☛❡✑✙➪✥✓❲❒✠❧✺Ñ✤❳❜✬✥❩♥●✫✓✬♣♦❋✜q❤✦❢❋♦✤✭✯✥❄✭✯r✓✜ ✙❳❡❺✤➢✥✓✲➊✯✚✺❄✤✇❜✬✥✞✭✯✣✦✥✸✜✤❣ts✧✛❳✫✓❣▲✉✍✜✤❣❊✈✵❢✳✣✷♥t✗✍♦✤✭✇❢✳✣✸✙✇❡③✤➢✥①✲ ❡✑✢✬✦❸♣✍✺❄✤❳❜✬✥❀♥●✫✓✬♣♦❋✜❖✣②✜✇✙✍✫✓✥✱✭✯r✓✜❾✙❳❡❺✤➢✥✜❭♦❞ ❜✬✥①✈✣❡✑✫❛❴➪✥ ✏✤♥s❴✜✛➮✤➢✛❱✌✑✥✐✙✇❡③✤➢✥Ø✛❛❴❘✤❳❜➘✥✃✙❳❡❺✤➢✥❣♥✜✈ ✈✣❡✑✫✐❴✜✥✧✫➮✭❊✙✜✥●✏✑♥✑✙➪✤➢✛✮✢✮❵⑤✤❳❜✬✥✑✏✬✙✜✥✎❴✜✥✧✢❪♠✧✥①♥✜✈ ❡❍r❹❡③✙☞☛✑✥➅✙❏❉ ❜➘✥✧✢❏✢✮♥✌✢➘✥✐✛✐❴ ✏✬✙➪✥❱❴✜✥➅✢✎✤❊❭❷❞ ❜➘✥✃✛✣✢✎✤✜✥✧✙➠✕ r❹❡③✙☞☛✑✥➅✙❩♠✎♥✌✢❪✈✪✮❴➪✛❛♥✌✢✸✙❳❡③✤✜✥✐✛✐❴➲✤✇❜✬✥✃✙✇❡③✤➢✥❣♥✜✈▼❉ ❜➘✥✧✢③❡✶r☎❡✑✙❍☛✑✥✧✙➲✛❛❴➲✦✬✥➃✤➢✥❱♠➃✤➢✥➅✦❑✲ ❤✬✪➘✤➬✤❳❜✬✥❏❉➞✙✇♥✌✢❪❵❹✛✣✦✆❉ ❡ ❴❉❵✌✛❱✌✑✥✧✢❑✲❩✭❄③❄✜❭③✉♥✌✢➘✥✩r☎❡✑✙☞☛③✥✧✙❙❉❂❡✜❴✉r✐✛✐❴➪✤ ❡①☛✑✥✧✢✶✈✫♥✌✙ ❡③✢✮♥✑✤❳❜➘✥✧✙❱❭⑤④♣✛✮✢✬❡✑✫✮✫✮✭✚✲✳❡③✢✬✦ ✏✤♥s❴✇❴➪✛❛❤✬✫➮✭✰✤❳❜✬✥❄✫✣✥❊❡ ❴➪✤❉❴➪✥✧✙➪✛❛♥✌✪✮❴●✲❡✛✐❴✔✤✇❜✬✥❩✈✣❡✑✫✐❴✜✥➲✢✬✥❱❵s❡③✤➢✛◆✌✌✥❾✙✇❡③✤➢✥①✲⑥❉ ❜✬✥➅✙✜✥ ❡❣r❹❡③✙☞☛✑✥➅✙✂✛✐❴✘✏✬✙➪✥❱❴✜✥➅✢✎✤✿✛✣✢❷❡✑✢ ✛❛r☎❡✜❵✌✥✠❤➘✪➘✤✂✢❪♥✑✤✔✙✜✥❭✏✤♥✌✙➠✤➢✥✧✦ ❭ ❞ ❜✬✥❚✈✣❡③✫❛❴✜✥❇✏✤♥s❴✜✛➮✤➢✛◆✌✌✥❚❡✑✢✬✦❍✈✣❡✑✫❛❴➪✥➲✢➘✥❱❵❑❡③✤✜✛❱✌✑✥❄✙✇❡③✤➢✥✎❴ ❡✑✙➪✥✩❡❺✤✉♥❻✦✬✦✮❴✪❉➞✛✮✤✇❜ ♥✌✢✬✥❹❡✑✢✮♥✑✤✇❜✬✥✧✙●✲ ❡✑✢✬✦●✙➪✥❭✏✬✙➪✥❱❴➪✥✧✢✎✤❣❡➱✤➢✙✇❡✑✦✬✥✎♥✓⑦ ❤Þ✥➅✤✧❉❮✥✧✥➅✢③r✐✛✐❴✇❴✜✛✮✢✮❵✶❡❷r❹❡③✙☞☛✑✥➅✙ ❡✑✢➘✦✻❴✜✥➅✥✧✛✣✢❪❵⑥❡➱✢✮♥✌✢❻✕ ✥✤❨✡✛✐❴➪✤➢✥➅✢✎✤❁♥✌✢✬✥✜❭❙⑧▼✛✮✤❳❜❷❝◗✁✟❞✙♥❖♥✑✫❴☛✟✛✮✤❭✲↔✤✇❜✬✛❛❴➬✛❛❴➬✦✬✛✣✙➪✥❱♠➅✤✜✫✮✭❍r☎❡✑✢✬✛❴✏➘✪✬✫❡③✤✜✥✧✦❍❤✎✭✩✤❳❜➘✥❾✪✮❴➪✥✧✙✠❤✎✭❷❴➪✥➅✤➪✤➢✛✣✢❪❵①❡ ✤❳❜➘✙✜✥❱❴❦❜✮♥✌✫✮✦ ♠❱♥✌✢✴❚❒✦✬✥✧✢❪♠✧✥✼✏✬❡✑✙✇❡✜rØ✥➅✤➢✥➅✙❱❭❛⑧▼✛✮✤✇❜ ❝◗✁✟❞✛❡✜❵✔✲❺✤❳❜✬✛✐❴ß✤✜✙❳❡✑✦➘✥❱♥✓⑦❳❉ ❡ ❴✈✦✮♥✌✢✬✥➊✛✣✢❄✤✇❜✬✥ ❡③✫❛❵s♥✌✙➪✛✮✤✇❜✮r ✦✬✥✎❴✜✛❛❵✑✢✖❉ ❜✬✥✧✢×✤✇❜✬✥❮✤✇❜✬✥☎✢✟✪✮r ❤Þ✥✧✙✛♥✜✈↔✦✬✛❛❵✑✛✮✤ ❡③✫❑❤✬✛✮✤✇❴✟♥✜✈✳♠ ❜✬✥✎♠✵☛✴❴✜✪✮r⑨❉❂❡✜❴ ❤✮❡✑✫ ❡✑✢❪♠✧✥✧✦✎❉➞✛✮✤❳❜❄✤❳❜✬✥☎✢✟✪✮r✩❤❫✥➅✙ ♥✜✈✛❤✬✛✮✤➞✥➅✙✜✙❦♥✌✙✇❴❸✤❳❜➘✥➲✥➅✙✜✙❦♥✌✙ ♠❱♥✌✙➪✙✜✥✎♠➅✤➢✛✐♥✌✢❞❉❂♥✑✪✬✫✣✦❍❤❫✥❁❴➪✥➅✤➞✤❳♥ ♠❱♥✑✙✜✙✜✥✎♠➅✤❱❭ t✡✥●✌✑✥✧✙✇❡✑✫✈✯ ❫⑩✏✬❡❺✤✜✤➢✥➅✙✜✢✶❴➪✭✺❴➪✤✜✥❱r❣❴ ❡✑✙➪✥❚❡❋✌ ❡✑✛✮✫❡✜❤➘✫✣✥❥✹❇t✡✥❱♠➃✤➢✛❛♥✑✢s✯✚✺t✲✬♥✜✈q❉ ❜➘✛❛♠ ❜❶✕❆✩❯❷❸❢❋❢✳✬♣✉✳✭✯✥✒✐→✠❊♣✴✲Ñ✠➇☛①♠ ❡✓✏✔✏➘✫✣✛❛♠❱❡③✤➢✛✐♥✌✢✮❴ ♠❱♥✑✢✮❴➪✤✜✛✮✤➢✪✡✤➢✥❈❡✸✫ ❡✑✙❦❵✌✥✶❴❦❜✬❡✑✙➪✥❈♥✜✈✠❝✂✁ ❴➠✭❖❴➠✤➢✥✎r☎❴❹✹❺■ t✔❅✶❝◗✁❻✐❽❼①♠✂✛✐❴✝❡✑✢❥❡✑✪✮❵srØ✥✧✢✎✤➢✥➅✦ ✙✜✥❱❡✑✫✣✛➮✤➥✭❏♠❱♥✌✢❖✈ ✥✧✙✜✥➅✢✮♠✧✥❀❉➞✛➮✤❳❜✶r❹❡✑✢✎✭❍❝◗✁✛❞✛♥✺♥✌✫❴☛✟✛➮✤ ❡①✏✔✏✬✫✣✛✐♠❊❡③✤✜✛❛♥✌✢✆✏✬❡①✏❫✥➅✙✇❴✵✺ ❭❇❾ ❜✬❡✑✢❪❵✞✐✯✡✠❭♠❫✏❫✥➅✙❦✈✫♥✌✙❦r☎❴✉❡

(7)

♠✧✥✎❴✇❴❦❴✜✛✣✢❪❵✩✤➢✛✐r✐✥①✲Ñ✛✣✦✬✥➅✢✟✤✜✛❱❚✬♠❱❡③✤➢✛✐♥✌✢❑✲Ñ✛✐r❹❡✜❵✑✥P✏✑♥s❴➪✛✮✤✜✛❛♥✌✢⑧❡✜♠✎♠✧✪✬✙✇❡✜♠➅✭✞❉➞✛➮✤❳❜Ú✙✜✥❱❴❍✏❫✥✎♠➅✤❄✤❳♥✆✌✡✛✮✥●❉➞✛✮✢✮❵❷❡③✢✮❵✌✫✣✥ ❡✑✢✬✦✩✦✬✛❛❴➠✤ ❡✑✢✮♠➅✥✜❭ ❝◗✁✛❞✛♥✺♥✌✫❴☛✟✛➮✤➞✛❛❴⑤✏✑♥✚✏➘✪✬✫ ❡✑✙◗❤Þ✥❱♠❊❡③✪✬✥❾✛➮✤➬✛✐❴✉❴➪✛❛r❳✏✬✫✣✥①✲↔✙✇♥s❤✬✪❪❴➪✤✷✲✑❡✑✢✬✦✶✈✙✜✥✧✥➅✫✮✭❍❡✷✌ ❡✑✛✣✫❛❡✜❤✬✫✮✥✜❭ ■❢✤➬✛❛❴ ❡☎❴➪✪✮♠❱♠➅✥❱❴❦❴❦✈ ✪✬✫✟❡✑✢✬✦❈✏✑♥✚✏➘✪✬✫❡✑✙ ❴➠✭❖❴➠✤➢✥✎r ♠✎♥✌✢✮❴➪✛❛❴➪✤✜✛✣✢✮❵❣♥✜✈ ❡❣❴❍❝❻✪✮❡✑✙✜✥❚❤✬✫❡ ♠✵☛①r❹❡✑✙❍☛✑✥➅✙◗♥✑✢❈❡P❉ ❜✬✛✮✤✜✥ ❤✬❡✜♠✵☛✴❵✌✙❦♥✌✪✬✢✬✦ ❭✒■ ✈✗❡✩r❹❡③✙☞☛✑✥➅✙➊✛✐❴ ❴➪✪✮♠❱♠➅✥❱❴✇❴ ✈ ✪✬✫✣✫➮✭✃✫✐♥❖♠❱❡③✤➢✥➅✦❑✲✟✤❳❜✬✥◗✈✫♥✌✪✬✙ ♠❱♥✌✙➪✢✬✥✧✙❦❴ ❡✑✙✜✥➬✪✮❴✜✥➅✦✃✤❳♥✩♠❱♥sr❳✏✬✪➘✤✜✥ ✤❳❜➘✥❚♠❱❡✜rØ✥✧✙❳❡P✏✤♥s❴✜✥✠✈✫♥✌✙❸✙➪✥✧✢✬✦➘✥✧✙✜✛✮✢✮❵❥✌✡✛✮✙➪✤✜✪✬❡✑✫❃♥s❤✶❁➪✥❱♠➅✤✇❴✔✤✇♥❣❡✑✪✮❵srØ✥✧✢✎✤➞✢✬❡③✤✜✪✬✙❳❡③✫❦✛❛r☎❡✜❵✌✥➅✙➪✭s❭ ❝◗✁✟❞✙♥✺♥✌✫❴☛✟✛✮✤❩r☎❡✑✙☞☛③✥✧✙✇❴ ♠✎♥✌✢✮❴➪✛❛❴➪✤ ♥✜✈◗❡❈❴☞❝✟✪✬❡✑✙➪✥①❤✬✫❡ ♠✵☛❯❤✤♥✌✙✜✦➘✥✧✙■✥➅✢✮♠✧✫✐♥s❴✜✛✮✢✮❵ ❡✽✏✬❡③✤➪✤➢✥➅✙✜✢●✤❳❜✮❡③✤■✛✐❴ ♠❱♥✜r✑✏✬❡③✙✜✥✧✦Ú✤❳♥❍❴✜✥✤✌✌✥✧✙✇❡✑✫❂❴➠✤❳♥✌✙➪✥✧✦ ✏✬❡③✤✜✤✜✥✧✙➪✢✮❴❱❭❏❞ ❜✬✥❣r❹❡③✙☞☛✑✥➅✙❄✙➪✥❱♠✎♥s❵✌✢✬✛➮✤➢✛❛♥✑✢❯♥✺♠❱♠➅✪✬✙✇❴➲✛✣✢Ú✤✧❉❂♥✶❴➪✤ ❡ ❵✌✥❱❴●❲ ❚❒✙❦❴➪✤➢✫➮✭✩✙➪✥❱♠✎♥s❵✌✢✬✛❱❬✧✛✣✢❪❵❖❝✟✪✬❡✑✦✬✙➪✛✣✫❡❺✤➢✥✧✙✇❡✑✫✙♠❱♥✌✢✎✤❳♥✑✪✬✙✇❴◗✤✇❜✬❡③✤❉♠✎♥✌✪✬✫✮✦ ❤❫✥❾✤✇❜✬✥ r☎❡✑✙☞☛③✥✧✙✇❴●◗ ♥✌✪✡✤❳❴✜✛✮✦✬✥ ❤✤♥✌✪✬✢✬✦❻✕ ❡✑✙➪✛✣✥❱❴●✲✴❡✑✢✬✦❣❴✜✥✎♠❱♥✌✢✬✦➘✫✮✭ ❤✎✭ ♠❱♥✑✙✜✙✜✥➅✫ ❡③✤✜✛✣✢✮❵◗✤✇❜✬✛❛❴✚✛✮✢✎✤➢✥✧✙➪✛❛♥✌✙q✏✬❡③✤✜✤✜✥✧✙➪✢❳❉➞✛➮✤❳❜×✤❳❜✬✥✪☛✟✢✮♥❋❉➞✢✢✏✮❡③✤✜✤✜✥✧✙✜✢❪❴❱❭☛❞ ❜✬✛✐❴ ✏✬❡✓✏Þ✥✧✙✎✏✬✙✇♥✓✏✑♥s❴➪✥❱❴ ❡✶r✐✥➃✤❳❜✮♥❻✦✸✤✇♥s✙✇♥s❤➘✪✮❴➪✤✜✛✐✈✭❆✤❳❜✬✛✐❴❩r☎❡✑✙❍☛✑✥✧✙❩❴➪✭✺❴➪✤✜✥❱r ❤✟✭✸✙✜✥●✏✬✫❡ ♠✧✛✣✢❪❵➱✤❳❜➘✛❛❴✩❴➪✥❱♠✎♥✌✢✬✦ ❴➪✤✜✥❭✏ ❉➞✛➮✤❳❜✻❡Õ✦✬✛❛❵✑✛✮✤ ❡③✫☛❴➪✭✺r ❤✤♥✌✫ rØ✥➅✤✇❜✮♥❻✦❃❭✆■➥✢➽✤❳❜✬✛✐❴✖✏✬✙❦♥✚✏✤♥s❴✜✥➅✦✻r✐✥➃✤❳❜✮♥❻✦❑✲ß✤❳❜✬✛✐❴❄✛✮✢✟✤✜✥✧✙➪✛❛♥✌✙❏✏✬❡③✤➪✤➢✥✧✙➪✢ ✛❛❴➬✙✜✥●✏✬✫ ❡✜♠➅✥✧✦✽❉➞✛➮✤❳❜ ❡✰☛✳❨➘☛❹❵✑✙✜✛✣✦❷♥✜✈ ❴☞❝✟✪✬❡✑✙➪✥×✙✜✥✎❵✌✛❛♥✌✢❪❴ ♥✜✈ ❴✇♥✑✫✣✛✣✦✶❤✬✫ ❡ ♠✵☛✶♥✌✙⑤❉ ❜✬✛✮✤✜✥ ♠❱♥✑✫❛♥✌✪✬✙➪✛✣✢✮❵❪❭ ❞ ❜✬✛✐❴ ✥✧✢❪♠❱♥❻✦✬✥❱❴✉❡☎♣✑☛❺✕❬❤✬✛➮✤ ❤✬✛✮✢✬❡✑✙➪✭❹♠❱♥❻✦✬✥❯❉ ❜✬✛❛♠ ❜➱✛❛❴ ❡Ý✥✧✢✮♠✎♥✡✦➘✥✧✦✶✈✫♥✑✙✇r ♥ ✈ ❡ ❴✇r☎❡✑✫✣✫✮✥✧✙◗✠☞✱ ❤➘✛✮✤✪■ ❫ ✢✟✪✮r✩❤❫✥➅✙ ❉➞✛✮✤✇❜❏♠ ❜✬✥❱♠✵☛✴❴✜✪❪r☎❴ ❡✑✢✬✦Õ✥✧✙✜✙❦♥✌✙ ♠❱♥✌✙➪✙✜✥✎♠➅✤➢✛✐♥✌✢⑤✙✜✥➅✦✬✪✬✢✬✦✬❡③✢✮♠➅✭✜❭ ❞ ❜✬✛✐❴ ❴➪✭✺❴➪✤✜✥❱r ✛❛❴ ♠❱❡✑✫✣✫✮✥✧✦❊✕✘✩❯❷❜✫❋✙✜❭ ❝ ❴❯❉➞✛✮✤✇❜⑥❝◗✁✟❞✙♥❖♥✑✫❴☛✟✛✮✤❭✲❃❝◗✁✟❞✛❡✜❵⑤✫❛♥✺♠❊❡❺✤➢✥❱❴❯✏✤♥✑✤✜✥✧✢✎✤➢✛❛❡✑✫✟r☎❡✑✙☞☛③✥✧✙❇✏✬✙❦♥✳❁➪✥❱♠➃✤➢✛❛♥✑✢✮❴✿✛✣✢⑧❡✑✢❆✛❛r☎❡✜❵✌✥✩❤✟✭ ❚❒✙❦❴➪✤✖❚✬✢✬✦✬✛✣✢❪❵➱✤❳❜➘✥☎✈✫♥✌✪✬✙❚❴✜✛✮✦✬✥✧✦♦❤✑♥✌✙➪✦✬✥✧✙❩♠❱♥✌✢✎✤✇♥✌✪✬✙❭✲ ❡✑✢✬✦➽✪❪❴✜✛✣✢❪❵✩✤❳❜✬✥☎♠❱♥✌✙➪✢✬✥✧✙✎✏✑♥✑✛✣✢✎✤❳❴❘✤❳♥✶♠✧✙✜✥❱❡③✤➢✥❹❡ ❴❳❡ r✑✏✬✫✮✛✣✢✮❵ ❵✌✙✜✛✮✦■✤❳♥✿✥✤❨❻✤✜✙❳❡✜♠➃✤❂❡③✢☎❡①✏✔✏❫✥❱❡✑✙❳❡③✢✮♠✧✥▼✌✑✥❱♠➅✤✇♥✌✙❱❭☛❝✂✁✟❞✙♥❖♥✌✫❱☛✟✛✮✤✪✹✪✮❴✜✪✮❡✑✫✣✫➮✭✔✺ß✪✮❴✜✥✎❴ ❡×✠➇☛❧❨❡✠☞☛❉❵✌✙✜✛✮✦ ♥✜✈❮✛✣✢✎✤➢✥➅✙✜✛✐♥✌✙❆✏✤♥✌✛✣✢✎✤❳❴●✲✗❴❳❡✜r❳✏✬✫✮✥✧✦✞❉➞✛✮✤✇❜➽✯✓❦✑☛①❵✌✙✜✥➃✭❊✫✣✥✤✌✌✥✧✫✐❴❱❭ ❝✂✁✟❞✟❡ ❵❍♥✑✢✬✫✮✭❷❴❳❡✜r❳✏✬✫✣✥✎❴❁❡⑤☛✳❨➘☛❏❵✑✙✜✛✣✦❆✛✮✢ ✤❳❜➘✥✿✛✣✢✎✤➢✥➅✙✜✛❛♥✑✙❭✲✮❡③✢✬✦✰✤❳❜✬✙➪✥❱❴✇❜❪♥✌✫✣✦✮❴☎✤✇♥Ý✥✤❨❻✤➢✙✇❡✜♠➅✤✉❡ ♣✌☛❺✕ ❤✬✛✮✤❂♠❱♥❻✦✬✥✠♥✜✈✛❴✜✛✮✢✮❵✌✫✣✥✖◗✱❘◗❖♥✌✙❯◗➮✠✚◗✮❴➪✭✺r ❤✤♥✌✫✐❴❱❭☛❞ ❜✬✛✐❴ ✦✬✛✐❵✌✛✮✤❳❡✑✫❂♠✎♥✡✦✬✥⑤✛✐❴ ❡✑✢✬❡✑✫➮✭✴❬➅✥✧✦ ✦✬✛❛❵✑✛✮✤ ❡③✫✣✫✮✭Ú✛✮✢✮❴➪✤✜✥❊❡✑✦ ♥✜✈✉♠❱♥sr❳✏✬❡✑✙➪✛✣✢✮❵ ❵✌✙➪✥➅✭✺❴✇♠❱❡✑✫✣✥Õ✛❛r☎❡✜❵✌✥✢✏✬❡③✤❳♠ ❜➘✥❱❴❣❤✟✭ ♠❱♥✑✙✜✙✜✥➅✫ ❡③✤✜✛❛♥✌✢ ❭❂❞ ❜✬✥❄✦✬✛❱⑦❫✥✧✙➪✥✧✢✎✤❉❡①✏✔✏✬✙✇♥s❡✜♠ ❜✩✛✐❴✉♠✎♥✌✢✮♠✧✥●✏➘✤➢✪✮❡✑✫✣✫➮✭❏❴✜✛❛rØ✛✣✫❛❡✑✙❮✤✇♥✐✤✇❜✬✥❄✦➘✛❱⑦❫✥✧✙✜✥➅✢✮♠✧✥❩❤❫✥➃✤✧❉➊✥➅✥✧✢ ✦✬✛✐❵✌✛✮✤❳❡✑✫❦✙❳❡③✦✬✛❛♥❣♠❱♥sr❣r■✪✬✢➘✛❛♠❊❡❺✤➢✛❛♥✑✢✮❴ ❴✜✪✮♠ ❜⑥❡✜❴◗r❣♥✡✦✬✥➅✙✜✢✶♠✧✥✧✫✮✫❫✏❪❜✮♥✌✢✬✥✎❴❭✲❃❡③✢✬✦❈❡✑✢✮❡✑✫❛♥s❵Ø✙❳❡③✦✬✛❛♥✮❭ ❝ ✢✮♥✌✢❻✕ ✫✣✛✮✢✬✥❊❡③✙Ï✦✬✥✎♠✧✛✐❴✜✛❛♥✑✢×✛❛❴✟r☎❡✑✦✬✥➊✥❊❡✑✙➪✫✮✭➲✛✣✢❾✤✇❜✬✥✼✏✬✙❦♥❖♠➅✥❱❴✇❴➪✛✣✢✮❵❯✏✮❡③✤❳❜ ❡✑✢➘✦■✤❳❜✬✥ ❡③✢✬❡✑✫❛♥✜❵ ❴✜✛✐❵✌✢✬❡✑✫✴❝✟✪✬❡✑✢✎✤➢✛❱❬✧✥✧✦■✤✇♥ ♥✌✢✬✥ ♥✜✈✬❴➪✥●✌✑✥✧✙❳❡③✫➘✦✬✛✐❴✇♠✧✙➪✥➅✤✜✥➊✫✣✥✤✌✌✥➅✫❛❴❛❉➞✛✮✤❳❜❩❴✜✪✮❤❪❴✜✥❭❝✟✪✬✥➅✢✎✤ ✏✬✙✇♥✺♠✧✥✎❴✇❴✜✛✮✢✮❵✘✏Þ✥✧✙ ✈✫♥✌✙✇rØ✥✧✦❩♥✌✢❾✦➘✛❛❵✌✛➮✤ ❡✑✫s❴➠✭✺r ❤✑♥✑✫❛❴❱❭ ❝ ❴✖❉➞✛➮✤❳❜✻❝✂✁✟❞✙♥❖♥✌✫❱☛✟✛✮✤✷✲✛❡✑✫✮✫ ✈✫♥✌✪✬✙✖✏✤♥s❴❦❴✜✛❛❤➘✫✣✥✃✙❦♥✑✤ ❡❺✤➢✛❛♥✑✢❯♠✎♥✌✢❘❚✬❵✌✪➘✙❳❡③✤✜✛❛♥✌✢✮❴✩❡✑✙✜✥Ø✤➢✙➪✛✣✥✧✦ ❭❶④✬♥✌✙ ❉ ❡✑✙➪✦ ✥✧✙➪✙✇♥✌✙ ♠✎♥✌✙✜✙➪✥❱♠➃✤➢✛❛♥✑✢ ✹❄④✈✏✖✄✼✺➊✛❛❴❸✪✮❴➪✥✧✦⑤✤❳♥×✙❦♥s❤✬✪✮❴➠✤➢✛✐✈ ✭✐✤❳❜✬✥❁❴➠✭❖❴➠✤➢✥✎r ❡✑✢✬✦❏♠❊❡✑✢⑤✙➪✥❱♠❱♥❋✌✑✥✧✙➞✤❳❜✬✥Ý✠➇✱ ❤✬✛➮✤✼■ ❫ ♠❱♥❻✦✬✥❯❉➞✛✮✤✇❜❏❴✜✥●✌✑✥✧✙✇❡✑✫✭♥✜✈Ï✤✇❜✬✥❘✛✣✢✎✤➢✥➅✙✜✛✐♥✌✙❸✙✜✥✎❵✌✛❛♥✌✢①❤➘✛✮✤❳❴ ♥✺♠❱♠➅✫✣✪✬✦➘✥✧✦❍♥✌✙❸✥✧✙➪✙✇♥✌✢✬✥✎♥✌✪✮❴➪✫✮✭❏❴❳❡ r✑✏✬✫✮✥✧✦❃❭ ❞ ❜✬✥✧✙➪✥ ❡✑✙✜✥✈✤✇❜✬✙✜✥➅✥ r☎❡✑✛✮✢✠❡✑✦❘✌ ❡✑✢✎✤ ❡ ❵✌✥❱❴❦✤✇♥☎✤❳❜✬✛✐❴✗❴➪✭✺❴➪✤✜✥❱r❈❲s❡✑✢❚❡✑✫✐r☎♥s❴➠✤❑❬➅✥✧✙✇♥ ✈✣❡✑✫✐❴✜✥✈✦➘✥➅✤➢✥✎♠➅✤✜✛❛♥✌✢❘✙❳❡❺✤➢✥✓✲ ❡①❴✜✛✐r✑✏✬✫✮✥✧✙✉❴➪✭✺❴➪✤✜✥❱r ✙✜✥●❝✟✪✬✛✣✙➪✛✣✢✮❵✰✢✮♥❏❴➠✤❳♥✌✙➪✥✧✦❹✏✬❡③✤✜✤✜✥✧✙➪✢✮❴❭✲✙❡✑✢✬✦⑧❡✝❴❦r❹❡✑✫✮✫✣✥➅✙ r☎❡✑✙☞☛③✥✧✙✠❴✜✛❱❬✧✥ ❭ ❞ ❜✬✥❀❚❒✙✇❴➠✤ ✛❛❴❸✤✇❜✬✥❇✏✬✙✜✛✮✢✮♠✧✛❱✏✬✫✣✥✠r❣♥✑✤➢✛◆✌ ❡③✤❳♥✌✙ ✈✫♥✌✙ ❝◗✁✟❞✛❡✜❵✔✲❒✛➮✤➞✙✜✥➅✦✬✪✮♠✧✥✎❴➬✤✇❜✬✥✎✏➘✙✇♥s❤✬❡ ❤✬✛✣✫✮✛✮✤➥✭☎♥✜✈✛✈✣❡③✫❛❴✜✥➅✫✮✭✃✛✣✦✬✥➅✢✟✤✜✛✐✈ ✭❻✛✣✢❪❵ ♥✌✢✬✥ r❹❡✑✙❍☛✑✥➅✙❂✈✫♥✌✙ ❡③✢✮♥✑✤❳❜➘✥✧✙❭✲❖♥✌✙ ❡✖✏➘✛✣✥❱♠➅✥❉♥✜✈Ñ✤✇❜✬✥❉❤✬❡✜♠✵☛✴❵✌✙❦♥✌✪✬✢✬✦❍❡✜❴ ❡ r❹❡✑✙❍☛✑✥➅✙❭✲✡✤✇♥ ❡❀✏✬✙❦♥s❤✬❡✜❤✬✛✮✫✣✛➮✤➥✭ ♥✜✈ ✁✄✂ ✱✆☎➏✱✌✱✎✞✞✝❖❭ ✟ ✠☛✡✌☞ ✄ ☞ ✂✎✍ ☞ ✂✑✏ ✞❯✂✓✒✕✔❍✡✛✆✟✞✗✖ ✡ ❅❷❡✑✢✎✭❷♥✜✈✒✤❳❜✬✥❀✏➘✙❳❡✜♠➃✤➢✛❛♠❱❡✑✫✙r❹❡✜♠ ❜➘✛✣✢✬✥✖✌❻✛✐❴✜✛❛♥✑✢❈❴➪✭✺❴➪✤✜✥❱r❣❴✿✪✮❴✜✥➅✦❆✛✣✢s✛✮✢✬✦✬✪✮❴➠✤➢✙➪✭✩✪✮❴✜✥■✤✧❉ ♥✰✦✬✛✐r✐✥➅✢✮❴✜✛✐♥✌✢✬❡✑✫ ✏✬❡③✤➪✤➢✥➅✙✜✢✮❴❘✤❳♥❍♠❊❡✑✙➪✙➪✭❆✛✮✢❪✈✫♥✌✙✇r☎❡③✤✜✛❛♥✌✢s✛✮✢♦❡❏r☎❡✑✢✬✢✬✥➅✙❚❴➪✛❛rØ✛✣✫❛❡✑✙➬✤✇♥Õ✤✇❜✬✥✐✪❪❤✬✛❴❝✟✪✬✛➮✤➢✛❛♥✑✪✮❴✠❤✬❡✑✙❁♠❱♥❻✦✬✥❣❴✜✥➅✥✧✢ ♥✌✢❸♠❱♥✌✢✮❴➪✪✮rØ✥✧✙❳✏✬✙✇♥❻✦✬✪✮♠➃✤❳❴❱❭⑨❞ ❜✬✥❊✏✬✪✬✙❍✏✑♥s❴➪✥✩✛✐❴Ý✤✇♥♦♠❱❡✑✙✜✙➠✭ ✛✣✢❪✈✫♥✌✙❦r❹❡❺✤➢✛❛♥✑✢❑✲✒✢✮♥✑✤Ø✤❳♥➽✫✐♥❖♠❱❡✑✫✣✛❱❬✧✥①❡ ❴✐✛✐❴

(8)

♠❱♥✑✢✶✌✑✥➅✭①❴❦❜✬✛❴✏❘✏✬✛✣✢✮❵×✛✮✢❪✈✫♥✌✙❦r❹❡③✤✜✛❛♥✌✢❶✹✱④Ï✛❛❵✮❭➮✠❧✺ ❭✄✂✎✫✓✥✇✫❳✛❳✫✓✥❄❣✤✭✿✾❁❡✑✢➘✦✆☎ ✩✞✝✟☎▼✗✴✭✇✈✵✉✎✩✪✜✵♦✧❤✦❢✳✣❘♦❋✜✡✠✉❡✑✙✜✥✂✤✧❉ ♥ ♥✑✤✇❜✬✥✧✙Ø✥✤❨❪❡✜r❳✏✬✫✣✥✎❴✐✦➘✥❱❴✜✛✐❵✌✢✬✥➅✦❈✤❳♥⑧♠❱♥✑✢✟✤❳❡✑✛✣✢❈✛✣✢❪✈✫♥✑✙✇r☎❡③✤➢✛✐♥✌✢ ❡✑✙➪✥➱✪✮❴➪✥✧✦❲✛✮✢❈✛✮✢✬✦✬✪✮❴➠✤➢✙➪✛ ❡✑✫ ❴➪✥➅✤✜✤✜✛✣✢✮❵✜❴ ✈✫♥✑✙ ✏✬❡✑✙➠✤■✫❛❡✜❤❫✥➅✫✣✫✮✛✣✢✮❵❹✹✣❡✑✫❛❴❦♥❷❴✇❜❪♥❧❉➞✢ ✛✮✢ ④♣✛✐❵✮❭✮✠❋✺ ❭❏❞ ❜✬✥①❡✜❤✤♥❋✌✌✥✃✤✇❜✬✙✜✥➅✥①❡✑✫✮✫✖✪❪❴✜✥✝♥✌✙❩❜✬❡✷✌✌✥❖✏➘✙✇♥❋✌❻✛❛❴✜✛✐♥✌✢❯✈✫♥✑✙ ✥✧✙➪✙✇♥✌✙❚♠❱♥✑✙✜✙✜✥✎♠➅✤✜✛❛♥✌✢❯r✐✥➃✤❳❜✮♥❻✦✮❴❘✤❳♥✩✙➪✥❱♠✎♥❧✌✑✥✧✙❾✤✇❜✬✥✃✦✮❡③✤ ❡❞❉ ❜✬✥✧✢ ❴❦♥srØ✥☎♥✜✈➊✤❳❜✬✥❣❤✬✛✮✤✇❴✩❡③✙✜✥Ø✛✣✢✮♠✎♥✌✙✜✙➪✥❱♠➅✤✜✫✮✭ ✙✜✥❱❡✑✦❃❭✒✏✖✄❸✄❸✯✑✱✌✱❊✐✆✓♠Ñ✛❛❴ ❡ ❴➠✤ ❡✑✢➘✦✬❡✑✙✜✦①✈✫♥✌✙☛✂❏✫✓✥ ✫✑✛❳✫✓✥❄❣t✭✿✾➲✯✜❫ ✏✬❡③✤✜✤✜✥✧✙➪✢✮❴◗❡✑✢✬✦⑤✪✮❴✜✥✎❴✔✁✔✥➅✥✧✦❷t❖♥✌✫❛♥✜r☎♥✌✢ ✥✧✙➪✙✇♥✌✙✟♠❱♥✌✙➪✙✜✥❱♠➃✤➢✛✐♥✌✢❑✲✚❉ ❜✬✛✐♠ ❜❣♠❱❡✑✢×✙✜✥✎♠❱♥❋✌✌✥➅✙☛✈ ✙✇♥sr ❴✜✛✮✤✜✪✬❡③✤✜✛❛♥✌✢✮❴❩❉ ❜✬✥✧✙➪✥✪✏✬❡✑✙➪✤ ♥✜✈↔✤❳❜✬✥❸✛✮✢❪✈✫♥✌✙✇r☎❡③✤✜✛❛♥✌✢➲✙✜✥❱❡✑✦ ✈ ✙✇♥✜r ✤❳❜➘✥⑤✏✮❡③✤✜✤✜✥✧✙✜✢Ø✛❛❴☛♠✎♥✌✙✜✙➪✪✔✏➘✤✜✥✧✦❃❭ ❫✠❡③✤❳❡❇❅❷❡③✤✜✙✜✛◆❨ ❡✑✢✬✦✌☞✿✁❥❡✑✙✜✥➞✪✮❴➪✥✧✦❣✈✫♥✌✙✍✂❇✭✯❣▲✜✵✈✤✥✏✎▼✫✓❣t✥ ✻ ✫✓❣▲✉✳✭✯✣❂✙ ✹❇❫✿✘✒❅✽✺❾✤✇♥➽✛✣✦➘✥✧✢✎✤➢✛✈ ✭ ❡✑✢✬✦❸♠❱♥✌✢✍✌✑✥➅✭ ✛✣✢❪✈✫♥✑✙✇r☎❡③✤➢✛✐♥✌✢③❡✑✫❛♥✑✢✮❵⑧❡✑✢ ❡ ❴✇❴✜✥✎r ❤✬✫➮✭ ✫✣✛✣✢➘✥❹✹✣❴✜✥➅✥ ✐➶✠❭♠ ✈✫♥✌✙×✤❳❜➘✥ ❡✑✪➘✤✇♥sr❣♥✑✤➢✛◆✌✌✥◗✛✮✢✬✦✬✪✮❴➠✤➢✙➪✭❘✺ ❭ ❫✠❡③✤ ❡ r❹❡③✤✜✙✜✛✿❨②✲✴❅❷❡❧❨➘✛✐♠❱♥❻✦✬✥✠❡✑✢➘✦✑☞✿✁ ❡✑✫✣✫✤❜✬❡✷✌✌✥❚❡✩♠✎♥sr❣r☎♥✌✢✐✤❳❜✬✙➪✥❊❡✑✦①♥✜✈ß✥➅✢✮♠❱♥❻✦✬✛✣✢❪❵×✦✬❡③✤ ❡❄✪✮❴✜✛✮✢✮❵ ❤✬✛✮✢✬❡✑✙➪✭❹✌ ❡✑✫✣✪➘✥❱❴ ✈✫♥✌✙■✙➪✥✎❧❒✥✎♠➅✤❳❡✑✢✮♠✧✥①✲❮✤✇❜✬✥❞✏✬❡③✤➪✤➢✥✧✙➪✢ ✛❛❴❾✤➥✭❂✏✬✛✐♠❊❡✑✫✮✫✮✭❯❤✬✛✮✤✇♥✌✢✬❡✑✫❮✙✜✥✧✦➘✪✮♠✧✛✮✢✮❵s✤❳❜✬✥✰✦➘✥❱♠✧✛✐❴✜✛✐♥✌✢ r☎❡✑✦✬✥✖✏Þ✥✧✙✘✏✬✛◆❨✡✥✧✫ ✤❳♥❏❡Ø✤❳❜✬✙➪✥❱❴✇❜❪♥✌✫✣✦❊✦✬✥✎♠✧✛✐❴✜✛❛♥✑✢❃❭ ❞ ❜✬✛✐❴◗✙✜✥➅✦✬✪✮♠➅✥❱❴◗✤❳❜➘✥■✫✣✛✐❵s❜✎✤➢✛✣✢❪❵❹❡✑✢➘✦ ♠❊❡✜rØ✥✧✙✇❡❹❴✜✥➅✢✮❴✜✛→✕ ✤➢✛◆✌❻✛✮✤➥✭✰✙➪✥❭❝✟✪✬✛✣✙➪✥❱rØ✥✧✢✎✤✉❡✑✢✬✦➱✙✜✥❱r❣♥❋✌✌✥✎❴✂✢✬✥➅✥✧✦✶✈✫♥✑✙✔✫✮✛✣✢✬✥❱❡✑✙✜✛❱❬❊❡③✤✜✛❛♥✌✢❹♥✜✈♣✤✇❜✬✥❩❴➪✛❛❵✌✢✮❡✑✫ ✹ ✭❄③❄✜❭③☎✢✮♥☎❡③✤➪✤➢✥❱r❳✏➘✤✇❴ ❡✑✙➪✥❹r☎❡✑✦✬✥Ý✤❳♥s✛✮✦✬✥✧✢✎✤➢✛✈ ✭⑥❴✇❜✬❡③✦✬✥❱❴ ♥ ✈ ❵✌✙✜✥➃✭❘✺ ❭❷❝➬✢✮♥✑✤✇❜✬✥✧✙❩♠❱♥sr❳✏✑♥✑✢✬✥✧✢✎✤■✛✐❴➲✤✇❜✬❡③✤✩♥✜✈❸✙✜✥➅✦✬✪✬✢✬✦✮❡✑✢✎✤×✛✣✢✡✕ ✈✫♥✌✙❦r❹❡③✤✜✛❛♥✌✢❷❡✑✫✣✫✐♥❋❉➞✛✣✢✮❵❹✈✫♥✑✙◗✥✧✙➪✙✇♥✌✙✿✦✬✥➃✤➢✥✎♠➅✤➢✛✐♥✌✢⑧❡✑✢✬✦⑥♠❱♥✑✙✜✙✜✥✎♠➅✤✜✛❛♥✌✢❊✤❳♥⑤✛✮✢✮♠✧✙➪✥❊❡✜❴➪✥■✤❳❜✬✥ ♥❋✌✌✥➅✙❳❡✑✫✮✫ ❴✜✪❪♠❱♠✧✥✎❴✇❴ ✙❳❡❺✤➢✥✜❭ ❞ ❜✬✥❏❴➪✤✜✥❭✏✮❴Ø✛✣✢●✤✇❜✬✥❹✤❳❜✬✙➪✥✧✥❏♠❱♥✜r☎rØ✥✧✙❦♠✧✛ ❡③✫ ❴➠✭❖❴➠✤➢✥✎r☎❴❣❴✇❜✮♥❋❉➞✢❸❡③✤×✤❳❜➘✥❹✤❳♥✚✏③♥✜✈✘④♣✛❛❵❪❭❈✠❏❡✑✙➪✥✓❲◗✠❋✺ ✒❭★❂✜✤✣✦✥❄✭✓▼✈☞✫✓✥❄✭✇❢✳✣❣♥ ✈Ï✤✇❜✬✥❁r❹❡✑✙❍☛✑✥➅✙❭✲↔✯✚✺✼✕✘✬✮✭◆✙✓✣✦✛✢✜✤✣✦✥ ♥✜✈✟❴✇❡✜r❳✏✬✫✣✛✮✢✮❵ ❡✳❨✡✛❛❴▼❉➞✛➮✤❳❜✰✤❳❜➘✥❚r☎❡✑✙❍☛✑✥✧✙✪✏✬❡❺✤✜✤➢✥➅✙✜✢❑✲ ♣✍✺✔✂❇✭◆✙✓✭✯✥✱✭✖✕❋✫✓✥❄✭✇❢✳✣①♥✜✈✒✤❳❜➘✥■✛❛r☎❡✜❵✌✥➲✛✣✢✎✤➢✥➅✢✮❴✜✛➮✤➥✭➱✤✇♥①❡✝❤✬✛✮✢✬❡✑✙➪✭Õ✫✐♥s❵✌✛❛♠❳◗➏✱❘◗ ♥✌✙✎◗✮✠✓◗❱✲❦✆✍✺✘✗ ❣✤❣▲❢✳❣✙✂✖✜✤✥✸✜✵✈✤✥❄✭✇❢✳✣ ✫✓✣❸★✛✚ ❢✳❣✤❣▲✜✵✈✤✥❄✭✇❢✳✣✦✲✺❡✑✢✬✦✢❚❒✢✮❡✑✫✣✫➮✭❳❦✚✺✍✂❀✜✵✈✵❢❭★✓✭✯✣❂✙◗♥✜✈❡✤❳❜✬✥✉♠❱♥✌✙➪✙✜✥❱♠➃✤➢✥➅✦①❤✬✛✮✤ ✏✬❡③✤➪✤➢✥✧✙➪✢✃✛✮✢✟✤✇♥❾✪✮❴✇❡✜❤✬✫✮✥✂✛✣✢❖✈✫♥✌✙➠✕ r☎❡③✤➢✛✐♥✌✢❃❭❂❞ ❜➘✥✎❚❒✙❦❴➪✤❉❴➠✤➢✥●✏❑✲❡✛✮✦✬✥✧✢✎✤➢✛◆❚✬♠❊❡❺✤➢✛❛♥✑✢❑✲❒✪✮❴✜✥✎❴ ❴❦♥sr✐✥➲✪✬✢✬✛❱❝✟✪✬✥❾✛✮✦✬✥✧✢✎✤➢✛◆❚❒✥✧✙➞✤❳♥❳❚❒✢✬✦Õ✤❳❜✬✥❩r❹❡✑✙❍☛✑✥➅✙ ✛✣✢❏✤✇❜✬✥➱✛✐r❹❡ ❵✌✥✓✲ ✈✫♥✌✙Ý✥t❨✮❡ r✑✏✬✫✮✥❹✤❳❜✬✥❍❤✬✪✬✫✮✫✇◗❴×✥➅✭✑✥✶♠✎♥✌✢✮♠✧✥➅✢✎✤➢✙✜✛✐♠➱✙➪✛✣✢✮❵✜❴×✛✣✢❏✤❳❜✬✥❶❅❷❡✳❨✡✛✐♠❱♥❻✦✬✥❏❴➪✭✺❴➪✤✜✥❱r❍❭ ❞ ❜✬✥ ❴✜✥✎♠❱♥✌✢➘✦❯❴➠✤ ❡✜❵✌✥①✲✙❡✑✫✣✛✐❵✌✢✮rØ✥✧✢✎✤✷✲ ❡③✤✜✤✜✥❱r❳✏➘✤❳❴◗✤✇♥✰✫✣✛✣✢➘✥■✪✔✏❊✤❳❜✬✥❥✏✬❡❺✤✜✤➢✥➅✙✜✢ ✈✫♥✌✙✿✦✬✛✐❵✌✛✮✤✜✛❴❬❱❡③✤➢✛✐♥✌✢❃❭✠❞ ❜✬✛✐❴ ❴✜✥✎♠❱♥✌✢➘✦✻❴➪✤❳❡✜❵✌✥Ø✛❛❴❚❡✑✢✬❡✑✫✐♥s❵s♥✌✪❪❴◗✤❳♥✶❡➱✫✣✛✮✢✬✥❊❡③✙✠❤✬❡✑✙❁♠❱♥❻✦✬✥❣❴✇♠❊❡③✢✬✢✬✥✧✙➲✤❳❜✬❡❺✤❄✪❪❴✜✥❱❴❩♠❊❡✑✫✮✛❛❤✬✙✇❡③✤➢✛✐♥✌✢ ❴➪✤✜✙✜✛❱✏❫✥✎❴ ❡③✤◗✤✇❜✬✥ ❤Þ✥❱❵✌✛✮✢✬✢✬✛✣✢❪❵✔✲❫✥➅✢✬✦⑧❡✑✢✬✦⑥❴✇♥✜r✐✥➃✤➢✛❛rØ✥❱❴✉r✐✛✮✦✬✦✬✫✮✥➲✤✇♥✰✪✮❴✜✥■✤✇♥✰✫✣✛✣✢➘✥❊❡✑✙➪✫✮✭⑤✛✣✢✎✤✜✥✧✙☞✏✤♥✌✫❛❡③✤➢✥✎✏✑♥s❴➪✛✮✤✜✛❛♥✌✢✮❴ ❉➞✛✮✤✇❜✬✛✣✢●✤✇♥ r❹❡①☛✑✥①❤✬✛✮✢✬❡✑✙➪✭❯❴❳❡ r✑✏✬✫✮✛✣✢✮❵✩✦✬✥❱♠➅✛❛❴✜✛✐♥✌✢✮❴✎❭ ④♣✛✮✢✬✦✬✛✣✢❪❵✩✤❳❜✬✥❞✏Þ✥❊❡①☛✺❴Ý✛✮✢ ❴☞✏✬❡③✤✜✛ ❡✑✫ ✈✙✜✥●❝❻✪➘✥✧✢✮♠➃✭ ✏✬✫✐♥✑✤❳❴❇✹ ✪✮❴✜✪✮❡✑✫✣✫➮✭✢④q④✟❞❯◗q❴▲✺❮✛❛❴➊✪✮❴✜✥➅✦Õ✛✮✢①❤✑♥③✤❳❜✰✫✣✛✮✢✬✥❊❡③✙❂❡✑✢➘✦❹✤✧❉❂♥Ý✦✬✛✐r✐✥➅✢✮❴✜✛✐♥✌✢✬❡✑✫❸✏✬❡③✤➪✤➢✥✧✙➪✢✮❴☎✤❳♥×✛✮✦✬✥✧✢✎✤✜✛✐✈✭ ✤❳❜➘✥❉❴☞✏✬❡❺✤➢✛ ❡③✫✳✈✙➪✥❭❝✟✪✬✥➅✢✮♠➅✭✝❡✑✢✬✦❖✏✮❜✮❡✜❴✜✥❉♥ ✈Ñ✤❳❜✬✥◗✦❪♥sr✐✛✮✢✬❡✑✢✎✤❮✙✜✥❭✏Þ✥➅✤✜✛✮✤✜✛❱✌✌✥✔✛✣✢✎✤✜✥✧✙❍✌ ❡✑✫✐❴❱❭ ❞ ❜➘✥✂✤❳❜✬✛✮✙✜✦✝❴➠✤ ❡✜❵✑✥ ♥✜✈ ✦✬✛✐❵✌✛✮✤✜✛❴❬❱❡③✤➢✛✐♥✌✢×✛❛❴❂❡❄✤❳❜✬✙➪✥❱❴❦❜✮♥✌✫✣✦❞✏➘✙✇♥✺♠✧✥✧✦➘✪✬✙✜✥①✲✬✥✧✛➮✤❳❜✬✥➅✙ ❡✜❤✮❴❦♥✌✫✣✪✡✤➢✥ ♥✑✙➊✫❛♥✺♠❊❡③✫✇✲✌✤❳♥ ❡✜❤✮❴➪✤✜✙❳❡✜♠➃✤☎✤❳♥ ❡✎❚❒✥✧✫✮✦ ♥✜✈Ï✱❘◗❴ ❡✑✢✬✦❆✠✚◗❴❱❭✖✏✚✙✜✙❦♥✌✙❸✦✬✥➅✤✜✥❱♠➃✤➢✛❛♥✑✢❏❡✑✢✬✦❏♠❱♥✌✙➪✙✜✥✎♠➅✤➢✛✐♥✌✢⑤✛❛❴ ❴❦♥srØ✥➅✤❳❜➘✛✣✢✮❵×✢✮♥③✤ ❴✜✥✧✥➅✢❷❡ ❴ r■✪✮♠ ❜⑤✛✣✢①♠✎♥srÝ✕ ✏✬✪➘✤✜✥✧✙✘✌❻✛✐❴✜✛❛♥✑✢ ❡✜❴◗✛✮✢❈♥✑✤❳❜➘✥✧✙❙❚✬✥✧✫✣✦❪❴❉❴✜✪✮♠ ❜⑧❡✜❴➬✤➢✥✧✫✮✥❱♠✎♥sr☎r❾✪✬✢✬✛❛♠❱❡③✤➢✛✐♥✌✢✮❴●✲✑❡③✢✬✦❊✛❛❴ ❡✢❉➊✥➅✫✣✫♣✪➘✢✬✦✬✥✧✙❦❴➪✤✇♥❖♥❻✦ ♠✧✫❛❡✜❴✇❴✛♥✜✈✳rØ✥➅✤❳❜❪♥✡✦✮❴ß✤❳♥❉❴➠✤ ❡③✤✜✛❛❴➠✤➢✛❛♠❱❡✑✫✣✫➮✭◗✛✐r✑✏✬✙❦♥❋✌✌✥❮✤✇❜✬✥☎✦✬❡❺✤ ❡➬✛✮✢✎✤➢✥❱❵✑✙✜✛✮✤➥✭➲✙✇❡③✤➢✥✖✤❳♥✠❡❙✌✑✥✧✙➠✭❾✙➪✥✧✫✣✛❛❡✜❤✬✫✮✥✖✫✮✥●✌✑✥✧✫ ❭ ❢✗♥❖♠❱❡③✤➢✛✮✢✮❵❉❡✑✢➘✦■✛✣✦✬✥➅✢✎✤➢✛✐✈✭❻✛✮✢✮❵✉❴➪✛❛r❳✏✬✫✣✥ ✏✬✫❛❡✑✢✬❡✑✙❩✏✬❡③✤➪✤➢✥➅✙✜✢✮❴✈✛✐❴✟❡③✫❛❴✇♥➬✪✮❴✜✥➅✦ ❤✎✭✩❴➪✥●✌✌✥➅✙❳❡✑✫❘✏✮❜✮♥✑✤✇♥s❵✌✙❳❡ rÝ✕ rØ✥➅✤➢✙➠✭✚✲ ✏✑♥s❴➪✛✮✤✜✛❛♥✌✢●✤✜✙❳❡✜♠✵☛✟✛✣✢❪❵✔✲ ❡✑✢➘✦ ❡✑✪❪❵sr✐✥➅✢✎✤➢✥✧✦❈✙✜✥❱❡✑✫✣✛➮✤➥✭✻❴➪✭✺❴➠✤➢✥❱r❣❴❥❉ ❜✬✥✧✙➪✥✩✫✣✥✎❴✇❴Ý✛✣✢❖✈✫♥✌✙✇r☎❡③✤➢✛✐♥✌✢●✛✐❴ ♠❊❡③✙✜✙✜✛✮✥✧✦Ú✛✣✢Ú✤❳❜✬✥❣r❹❡③✙☞☛✑✥➅✙❭✲ ✤➥✭❂✏✬✛❛♠❱❡✑✫✣✫➮✭ ♥✌✢✬✫➮✭❊✥✧✢✮♥✑✪✮❵s❜➽✤✇♥➱✛✮✦✬✥✧✢✎✤➢✛✈✭❊✛✮✤❁✈ ✙❦♥sr ♥✑✤❳❜➘✥✧✙✇❴✎❭❞■➥✢✻❡✓✏❘✏✬✫✣✛✐♠❊❡❺✕ ✤➢✛✐♥✌✢✮❴ ❴➪✪✮♠ ❜✶❡✜❴✼✏✮❜✮♥✑✤✇♥s❵✌✙✇❡✜r☎rØ✥➅✤✜✙➪✭✓✲✡✤❳❜➘✥✠❴✜✛❴❬➅✥✠♥✜✈ ✤❳❜✬✥✠r☎❡✑✙❍☛✑✥✧✙❸✛✐❴ ❡✑✢⑤✛❛❴❦❴✜✪✬✥ ❭ ■➥✢❍❵✑✥✧✢✬✥➅✙❳❡✑✫✱✲✡✤❳❜➘✥➲✫✮✥❱❴❦❴ ✦✬✥➅✢✮❴✜✥❹✤✇❜✬✥❹✛✣✢❖✈✫♥✌✙✇r☎❡③✤➢✛✐♥✌✢❆✛❛❴❄✛✣✢➽✤✇❜✬✥✝r☎❡✑✙☞☛③✥✧✙❭✲Ï✤❳❜✬✥❹✫✮✥❱❴❦❴❾✤❳❜✬✥❹r✐✛✮✢✬✛❛r■✪❪r ✏✬✛◆❨✡✥➅✫➊✙✜✥●❝✟✪✬✛✣✙➪✥❱rØ✥✧✢✎✤■✛✐❴ ❡✑✢✬✦♦❡✜❴❩❡Õ✙➪✥❱❴✜✪➘✫✮✤✷✲ß✤❳❜✬✥❣❵✌✙➪✥❊❡③✤✜✥✧✙✿✤❳❜✬✥✐✙❳❡✑✢❪❵✌✥ ♥✜✈❸✦✬✛✐❴➪✤ ❡③✢✮♠✧✥Ý✤❳❜✬❡❺✤➲✤✇❜✬✥❣r❹❡✑✙❍☛✑✥➅✙❩♠❱❡✑✢♦❤Þ✥❣✈ ✙❦♥sr ✤❳❜➘✥ ♠❊❡ r✐✥➅✙❳❡❪❭

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✭✯✣❸★✓✗✍♦✤✥✱❣t✭❄✫✓✬❩♦✤✰❋♦✤✥✧✜✤✛✖♦❀✗✍♦❋✜☞★❇♥✷❢✳❣❥✈☞✫✓❣✤❣t✰✳✭✯✣❂✙❶★✍✫✓✥✇✫✍③ ❷❑❡✦✜❳✈✤✭✯❣▲✈✤✗✴✬◆✫✓❣✘✒t✣✦✥✸✜✤❣▲♦❋✜✤✣❘♦❋✜✖✛❳✫✓❣▲✉✍✜✤❣✵♦P✫✓❣▲✜❀✗✍♦❋✜☞★ ✭✯✣✽❤✦❢❋♦✤✭✯✥✱✭✇❢✳✣ ✥❄❣❍✫❂✈✵✉✳✭✯✣❂✙✍③❶✕✘✩✝✂❜✥✱✗❘★✓✭✇❢ ✫✓✣❸★❞✕✘✩❯❷❸❢❋❢✳✬♣✉✳✭✯✥❆✫✓❣▲✜❇❤❘✫✓✥✱✥✧✜✤❣t✣❘♦❖★❂✜✵♦✤✭◆✙✓✣②✜☞★❈♦✧❤✦✜✵✈✤✭✓▼✈☞✫✓✬✯✬✮✰❏♥✷❢✳❣ ✫✓✗✓✙✓✛✢✜✤✣✦✥✸✜☞★❊❣▲✜☞✫✓✬✮✭✯✥❄✰✽✫✤❤✍❤❸✬✮✭✇✈☞✫✓✥❄✭✇❢✳✣❘♦❭③❳✕❆✩❯❷✦✫❋✙❊✭❴♦❥✥✯❡✦✜❳✣②✜✟✞❵✛❳✫✓❣▲✉✍✜✤❣✖♦✤✰❧♦✤✥✧✜✤✛ ✭✯✣✦✥❄❣✵❢❭★✓✗✦✈✵✜☞★❊✭✯✣ ✥✯❡❂✭❴♦ ❤❘✫✤❤✦✜✤❣●③

(10)

t✡✥✤✌✌✥✧✙✇❡✑✫ ♠✎♥sr☎rØ✥✧✙❦♠✧✛❛❡✑✫✣✫➮✭ ❡✷✌ ❡✑✛✣✫❛❡✜❤✬✫✣✥ ♠➅✛✣✙✇♠➅✪✬✫ ❡③✙❇❚✬✦✬✪✮♠✧✛❛❡✑✫❂r☎❡✑✙❍☛✑✥✧✙❩❴➪✭✺❴➪✤✜✥❱r❣❴×✥✤❨✡✛❛❴➠✤■✪✮❴➪✛✣✢✮❵❈❡❷❴✜✛✮✢✮❵✌✫✣✥ ❤✬✙❦♥✚☛✑✥➅✢❸❡③✢✬✢✟✪✬✫ ❡✑✙❾✙✜✛✣✢❪❵ ❡✑✙✇♥✑✪✬✢✬✦③❡❈♠✧✛✮✙✇♠➅✪✬✫❡✑✙➲✦✮♥✑✤ ❴✜✪✮♠ ❜❸❡✜❴×✘☛❜✮♥✑✤✇♥sr❣♥✡✦✬✥➅✫✣✥➅✙❭◗❴✁✟✄❂♥❻✦✬✥✧✦ ❅❷❡③✙☞☛✑✥➅✙ ❅✶♥❻✦✬✪✬✫✮✥✂❥✐✞✳♠✱✲❑♥✌✙q✏✤♥s❴✜✛➮✤➢✛✐♥✌✢✬✛✣✢❪❵✘✏✬✙❦♥✡✦✬✪❪♠➅✤❳❴✛✈✙✇♥sr ❝✂✛✐♠❱♥✌✢❛✐✯❧♠✱✲❻✄ ❡✓✏➘✤✜✪✬✙✜✥❱♣s❫⑩✐♣✳♠✇✲❑❡③✢✬✦ ♥✑✤❳❜➘✥✧✙✇❴✎❭ ❞ ❜✬✥✎❴✜✥ ❴➪✭✺❴➠✤➢✥❱r❣❴✠❡✑✙➪✥❾✪✮❴➪✥✧✦❈✈✫♥✌✙⑤✏✮❜✮♥③✤❳♥s❵✌✙✇❡✜r❣r✐✥➃✤➢✙➪✭①❡✓✏✔✏✬✫✮✛❛♠❊❡❺✤➢✛❛♥✑✢✮❴ ❴✜✪✮♠ ❜⑥❡✜❴✉r✐✥❱❡✜❴✜✪➘✙✜✛✣✢❪❵✐✤❳❜➘✥✁❑❡✜❴✉❤✬✪✬✛✮✫✮✤✄ rØ✥❊❡✜❴➪✪✬✙✜✥✎r✐✥➅✢✟✤✇❴ ♥✜✈ ✛✮✢✬✦✬✪✮❴➠✤➢✙✜✛❛❡✑✫❸✏✬✫❡✑✢✎✤✇❴❂♥✌✙✖✤❳❜✬✥◗✦➘✥✎✈✫♥✌✙❦r❹❡③✤✜✛❛♥✌✢☎♥✜✈✭❡✑✪✡✤❳♥sr❣♥s❤✬✛✮✫✣✥✪✏✬❡✑✙➠✤❳❴ ❡ ✈✤✜✥✧✙ ♠✧✙❳❡ ❴✇❜ ✤➢✥✎❴➪✤✇❴❱❭ t✡✥✤✌✌✥➅✙❳❡✑✫✒✪✮❴➪✥❣❴❍✏❫✥✎♠✧✛❛❡✑✫q✏✮❜❪♥✑✤❳♥✌✙➪✥✎❧❒✥✎♠➅✤✜✛❱✌✌✥❣r☎❡③✤➢✥➅✙✜✛❡③✫Ï✛✮✢s✤❳❜✬✥ r☎❡✑✙☞☛③✥✧✙❦❴❆❉ ❜✬✛❛♠ ❜Ú✙✜✥ ❧❒✥❱♠➃✤❄✫✮✛❛❵s❜✎✤ ✈ ✙✇♥✜r ❡⑤✫✣✛❛❵✜❜✟✤❉❴✇♥✌✪✬✙❦♠✧✥ r❣♥✌✪✬✢✎✤➢✥➅✦❯♥✌✢❊✤✇❜✬✥ ♠❊❡✜rØ✥✧✙✇❡ ✐❦✳♠❇❭ ❞ ❜✬✥Ý✢❻✪❪r ❤❫✥➅✙❁♥✜✈ ✏✤♥s❴❦❴✜✛❛❤➘✫✣✥ r☎❡✑✙☞☛③✥✧✙✇❴❘✛✐❴ ✫✣✛✐r✐✛➮✤➢✥➅✦❑✲♣✤❳❜➘✥❍♠❱❡✜rØ✥✧✙❳❡s✙➪✥❱❴❦♥✌✫✣✪➘✤✜✛❛♥✌✢ ❉➞✛✮✫✣✫❮✫✣✛❛rØ✛✮✤➲✤❳❜➘✥Õ✢✟✪✮r✩❤❫✥➅✙❣♥ ✈✉❴➪✥❱❵srØ✥✧✢✎✤✇❴Ø✤✇❜✬❡③✤×✤❳❜➘✥✶❡③✢✬✢✟✪✬✫❡✑✙ ✙✜✛✮✢✮❵✩♠❱❡✑✢①❤Þ✥❉❤✬✙✇♥✓☛✑✥✧✢✰✛✮✢✎✤❳♥✮❭ ❞✒✭❂✏✬✛❛♠❱❡✑✫✣✫➮✭Ý✤❳❜✬✥➅✙✜✥◗✛✐❴➊✢✮♥ r❣♥✌✙✜✥➞✤❳❜✮❡✑✢✆❼✩❴✜✥✎❵srØ✥✧✢✎✤❳❴☎✤✇❜✬❡③✤ ❡③✙✜✥✘✏➘✙✜✥❱❴➪✥✧✢✎✤ ❡✑✢✬✦❈❡✜❤✮❴✜✥➅✢✎✤✷✲❦✫✮✛❛rØ✛✮✤➢✛✮✢✮❵■✤❳♥✝❡☎❜✬❡✑✢➘✦❪✈✪✬✫Ï✤✇❜✬✥✩❴➪✛❴❬➅✥ ♥✜✈✈✤✇❜✬✥ r☎❡✑✙☞☛③✥✧✙✂✫✮✛❛❤✬✙✇❡✑✙➪✭✜❭ ❝✂✢✎✭s✥➅✙✜✙✇♥✑✙ ♠ ❜✬✥✎♠✵☛❻✛✮✢✮❵ ✙✜✥➅✦✬✪✬✢✬✦✮❡✑✢✮♠➅✭❊❉➞✛✣✫✮✫Ñ✙✜✥✧✦➘✪✮♠✧✥■✤✇❜✬✛❛❴◗❴✜✥➃✤❉✈ ✪✬✙➪✤✇❜✬✥✧✙✎❭✆☎✿✢✎✭❑❡①❬ ❡✑✢✬✦⑥t❻✛❛❤✬✛✮✙➪✭❑❡①☛✜♥❋✌ ✐➶✠❵✞❋♠♣✦✬✛◆✌❻✛✣✦✬✥➲✤❳❜✬✥❩❴☞✏✬❡✜♠➅✥ ❤Þ✥➅✤✧❉❮✥✧✥✧✢③❡❍♠✧✥➅✢✟✤✜✙❳❡✑✫ ♠✧✛✮✙✇♠➅✫✣✥☎❡✑✢✬✦✻❡Õ✙✜✛✮✢✮❵➱✛✮✢✎✤❳♥➽✠☞✱✶❴✜✛➮✤➢✥✎❴❚✈✫♥✌✙❚❴✇♥✑✫✣✛✣✦Ú✦✮♥✑✤➲✤❳♥✶❴✜✛➮✤✷✲✙❴✜✛✣✢❪♠✧✥✃✥❱❡✜♠ ❜●✦✮♥③✤ ✙✜✥●❝✟✪✬✛✣✙➪✥❱❴✉❡✑✢➱✥✎r✑✏✡✤➥✭❏❴☞✏✬❡✜♠➅✥❩❤Þ✥❱❴➪✛✣✦✬✥❘✤❳❜➘✛❛❴➞✛❛❴➞✥❭❝✟✪✬✛◆✌ ❡✑✫✣✥➅✢✟✤➞✤✇♥✐✦✬✛◆✌❻✛✣✦✬✛✮✢✮❵ ❡✑✢✶❡✑✢✬✢✟✪✬✫❡③✙✔✙➪✛✣✢✮❵Ý✛✮✢✟✤✇♥✐✯✑✱ ❴✜✥✎❵srØ✥✧✢✎✤❳❴✎❭✄❃✉♥❋❉❮✥●✌✌✥➅✙❭✲✺❡ ✈✤✜✥✧✙☛❡✑✦➘✦✬✙✜✥✎❴✇❴✜✛✮✢✮❵◗✙❦♥✑✤ ❡③✤✜✛❛♥✌✢✩❡✑✢✬✦×✙➪✥✎❧❒✥✎♠➅✤➢✛✐♥✌✢❑✲s♥✑✢✬✫✮✭❾✞✑☛✘■ ❫❀◗❴ ❡③✙✜✥▼✏✤♥s❴✇❴➪✛❛❤✬✫✮✥✜❭ ❞ ❜✬✥❙■➥✢✟✤✜✥✧✙❦❴✜✥✧✢❪❴✜✥❁r❹❡③✙☞☛✑✥➅✙✇❴❆✐→✠ ✝❂✲➘☛✳♠❫✛✮✢❖④♣✛✐❵✮❭➮✠➬✥t❨✡✤✜✥✧✢✬✦❹✤✇❜✬✛❛❴ ♠❱♥✑✢✮♠✧✥●✏➘✤☎✤❳♥❩❴✜✥✤✌✌✥✧✙✇❡✑✫❡✙✇❡✑✦✬✛✮✛ ❭✡❃◗♥❋❉➊✥✤✌✌✥✧✙●✲ ❡✑✫✮✫❦✤❳❜✬✥✎❴✜✥✩♠➅✛✣✙❦♠✧✪✬✫❛❡✑✙✼❚❒✦✬✪✮♠➅✛❡✑✫✭r☎❡✑✙☞☛③✥✧✙✇❴✉r■✪✮❴➠✤ ❤Þ✥✩❴➪✥✧✥✧✢✩✛✣✢❷❴➪✥➅✤✇❴P✹✣r❣♥✌✙➪✥❘✤✇❜✬❡✑✢✶♥✌✢✬✥ ❡❺✤❉❡Ý✤➢✛❛rØ✥❋✺❮✤✇♥ ❡✑✫✮✫❛♥❋❉ ✏✑♥s❴➪✥❁♠❊❡✑✫✐♠✧✪✬✫❛❡③✤➢✛✐♥✌✢①❡✑✢✬✦❍❜✬✥➅✢✮♠✧✥❘✤❳❜✬✥✿✤✇♥✑✤ ❡✑✫②✏✬✛◆❨✡✥✧✫✗❴➪✛❴❬➅✥✿✙✜✥❭❝✟✪✬✛✮✙✜✥➅✦❷❴➪✤❳❡✑✙➪✤✇❴❸✤❳♥ ❵✌✙✇♥❋❉❁❭ ❞ ❜✬✥■✦✬✛✐❴➪✤✜✛✣✢✮❵✌✪➘✛❛❴✜✛✮✢✮❵ ✈ ✥❊❡③✤✜✪✬✙✜✥❚♥✜✈☛❴➠✭✺❴➪✤➢✥✎r☎❴✂✦✬✥❱❴➪✛❛❵✌✢✬✥➅✦❷✈✫♥✌✙✉❡✑✪✮❵srØ✥✧✢✎✤✜✥✧✦s✙➪✥❊❡✑✫✮✛✮✤➥✭①❴➪✪✮♠ ❜⑥❡✜❴ ❝✂✁❸✕ ❞✙♥❖♥✌✫❱☛✟✛✮✤ ❡✑✢✬✦ ❝◗✁✉t❖❞ß✪✬✦✬✛✐♥❹✐→✠❋❼❧♠✈✛✐❴➬✤❳❜✮❡③✤✠♥✌✢✬✫➮✭❷♥✑✢✬✥ r☎❡✑✙☞☛③✥✧✙◗✛✐❴✂✪✮❴➪✪✬❡✑✫✣✫➮✭✆✌✡✛✐❴✜✛✐❤✬✫✣✥❩❴✇♥❹✤❳❜➘✥✖❚❒✦✬✪✮♠➅✛❡✑✫ r☎❡✑✙☞☛③✥✧✙❣r■✪✮❴➪✤☎❜✬❡✷✌✌✥✶❴✇♥srØ✥Õ✦✬✛❛❴➠✤➢✛✣✢❪♠➅✤❳✏✑♥✑✛✣✢✎✤❳❴●✲ ❡③✤✐✫✣✥❱❡✜❴➪✤ ✈✫♥✌✪✬✙●✲❂❴❦♥ ❡✜❴Ý✤❳♥Ú✥✤❨❻✤➢✙✇❡✜♠➅✤❹♥✌✙✜✛✮✥✧✢✎✤ ❡③✤✜✛❛♥✌✢ ❉➞✛✮✤✇❜✑✏Þ✥✧✙❦❴☞✏Þ✥❱♠➃✤➢✛❱✌✑✥➬✦➘✛❛❴➪✤✇♥✌✙➪✤✜✛❛♥✌✢ ❭✟❝◗✁✛❞✛♥✺♥✌✫❴☛✟✛➮✤✷✲✜✈✫♥✌✙✚✥t❨❪❡✜r✑✏➘✫✣✥✓✲✟✪✮❴➪✥❱❴✒✤❳❜✬✥⑤❝✟✪✬❡✑✦✬✙➪✛✣✫❛❡③✤➢✥➅✙❳❡✑✫✮♥✑✪➘✤➢✫✮✛✣✢✬✥➊✤✇♥ ❡✜♠✎♠✧✪✬✙✇❡③✤➢✥➅✫✮✭■✫✐♥❖♠❱❡③✤➢✥✖✤❳❜✬✥ ✈✫♥✑✪✬✙☛♠❱♥✌✙➪✢✬✥✧✙✄✏✤♥✌✛✮✢✟✤✇❴♣✤❳♥❁❡❉❴➪✪✮❤✡✕ ✏✬✛◆❨✡✥✧✫✳❡ ♠❱♠✧✪➘✙❳❡✜♠➃✭s❭ ❞ ❜✬✥✎❴✜✥ ✈✫♥✌✪✬✙✄✏✤♥✌✛✮✢✟✤✇❴☛❡✑✙➪✥ ♥✌✢✃✤✇❜✬✥✉✈ ✪➘✙➪✤❳❜➘✥❱❴➪✤☎✥✤❨❻✤➢✥➅✢✟✤ ♥✜✈Ñ✤❳❜✬✥❙✏✬❡③✤➪✤➢✥✧✙➪✢❹✤❳♥❩❵✌✥➅✤ ❡✜❴❂r■✪❪♠ ❜①♥✌✙✜✛✮✥✧✢✎✤ ❡③✤✜✛❛♥✌✢☎❡✜♠✎♠✧✪✬✙✇❡✜♠➅✭❹❡✜❴▼✏✤♥s❴✇❴➪✛❛❤✬✫✮✥✜❭ ❞ ❜✬✥ ✏✤♥✚✏✬✪➘✫ ❡✑✙✗❝✂✁✟❞✛♥✺♥✌✫❱☛❻✛➮✤✷✲✕❡✑✢➘✦❄✤❳❜➘✥❮✢✬✥✤❉ ❝◗✁✛❞✟❡✜❵◗❴➪✭✺❴➠✤➢✥❱r ✛✣✢✎✤✜✙✇♥❻✦✬✪✮♠✧✥➅✦❄✛✮✢➲✤✇❜✬✛❛❴❛✏✬❡①✏❫✥➅✙❭✲①❉❮✥✧✙➪✥ ✦✬✥✎❴✜✛❛❵✑✢✬✥✧✦❚✈✫♥✌✙✟❡③✪✮❵srØ✥✧✢✎✤➢✥➅✦❾✙✜✥❱❡✑✫✣✛➮✤➥✭✠❡✓✏❘✏✬✫✣✛✐♠❊❡③✤✜✛❛♥✌✢✮❴✒✐✝①♠✱✲✜❤✬✪✡✤ ❡✑✙➪✥ ♠❱❡✑✢ ❡③✫❛❴✇♥◗❤Þ✥❮✪✮❴➪✥✧✦✩✈✫♥✑✙ß✫❛❡✑✢✬✦✮r☎❡✑✙❍☛✺❴ ✛✣✢✰✙❦♥s❤✤♥✑✤ ♠✎♥✌✢✎✤➢✙✇♥✑✫ ✐→✠➇✯❧♠✭❡✑✢➘✦①r☎♥s❤➘✛✣✫✣✥✔✙✇♥✜❤✑♥✑✤☎✢✬❡✷✌✡✛✐❵❑❡③✤✜✛❛♥✌✢ ✐➶✠✌✠✤♠ ❭ ❞ ❜✬✥✿✛✐❴✇❴✜✪➘✥❱❴ ♥✜✈ß✙✜✥➅✫✣✛❛❡✜❤✬✛✣✫✮✛✮✤➥✭ ❡③✢✬✦❏❡ rØ✛✣✢✬✛✐r❹❡✑✫✬✈✣❡✑✫✐❴✜✥❯✏✤♥s❴✜✛➮✤➢✛◆✌✌✥❁❡✑✢✬✦⑤✛✮✢✟✤✜✥✧✙➝✕❬r☎❡✑✙☞☛③✥✧✙ ♠❱♥✑✢❪✈ ✪✮❴✜✛✐♥✌✢⑤✙❳❡③✤✜✥❚❡✑✦✬✦✬✙➪✥❱❴✇❴➪✥✧✦➱✛✣✢✰✤❳❜✬✛✐❴✼✏✬❡✓✏Þ✥✧✙ ❡✓✏❘✏✬✫✮✭ ✥❭❝✟✪✬❡③✫✣✫✮✭✐✤❳♥×✤❳❜➘✥❱❴✜✥➲✦✮♥sr☎❡✑✛✮✢✮❴ ❡✑✫✐❴✇♥✮❭ ✝ ✞✠✟☛✡ ✁①✁ ✡ ✏❞✠✎✆ ✕✘✩❯❷⑥❢❋❢✳✬♣✉✳✭✯✥❸✐➶✠✓♣✳♠❻✛✐❴❛✌✑✥✧✙➠✭✖✏✤♥✚✏✬✪✬✫❛❡✑✙✗❤✎✭➲✦✬✥❱❴➪✛❛❵✌✢✬✥➅✙✇❴✛❡✑✢✬✦❄✪✮❴✜✥➅✙✇❴ ♥✜✈✮❡✑✪✮❵srØ✥✧✢✎✤✜✥✧✦❾✙➪✥❊❡✑✫✮✛✮✤➥✭❁❡③✢✬✦✖❃✔✪✮r☎❡✑✢ ✄❂♥sr❳✏✬✪➘✤✜✥✧✙❇■➥✢✎✤➢✥✧✙✇❡✜♠➅✤✜✛❛♥✌✢ ✹❄❃◗✄ ■ ✺✠❴➪✭✺❴➪✤✜✥❱r❣❴❄✦✬✪➘✥Ý✤✇♥⑤✛✮✤✷◗❴❚❡✷✌✜❡③✛✣✫❡ ❤✬✫✣✥❩❴✇♥✌✪✬✙❦♠✧✥ ♠❱♥❻✦✬✥❣❡✑✢✬✦Ú✪✮❤✬✛❱❝✟✪✬✛✮✤➥✭ ♥✜✈Ï✪✮❴✜✥ ❭ ❝◗✁✟❞✙♥✺♥✌✫❴☛✟✛✮✤✖✛✐❴❂❡✩r☎❡✑✙❍☛✑✥✧✙ ❴➪✭✺❴➪✤✜✥❱rå✦✬✥●✌❻✛✐❴✜✥✧✦①❤✎✭❹❫◗✙❱❭✄❃✔✛✣✙❦♥✚☛❘❡✓❬✧✪☞☎❚❡❺✤❳♥✩♥ ✈✍✌✠❴✇❡✓☛❘❡ ✔✢✬✛❱✌✑✥✧✙✇❴➪✛✮✤➥✭✓✲ ★s❡✓✏✬❡③✢❑✲☛❡✑✢✬✦❯❴✜✪✔✏❘✏✑♥✌✙➠✤➢✥➅✦ ❤✟✭Ú✤❳❜➘✥✁➬✢➘✛❱✌✌✥➅✙✇❴➪✛✮✤➥✭⑧♥✜✈✼⑧♦❡✜❴✇❜✬✛✮✢✮❵✑✤✇♥✌✢✏✎ ❭❍❞ ❜✬✥✝r☎❡✑✙❍☛✑✥✧✙❦❴ ❡✑✙➪✥✢✏✬✫❛❡✑✢✬❡✑✙ ❡✑✢✬✦❣♠❊❡③✢✐✥❱❡✜❴✜✛✮✫✮✭ ❤Þ✥✪✏✬✙✜✛✮✢✟✤✜✥✧✦❣♥✌✪➘✤ ❡✑✢✬✦❣r❣♥✌✪✬✢✎✤➢✥➅✦Ø✤✇♥✩❡✠❧✳❡③✤ ♠❊❡③✙✜✦❣♥✌✙✄❉ ❡✑✫✮✫✇✲❑❴➪✥●✌✌✥➅✙❳❡✑✫✤❡✑✙➪✥ ❴✇❜✮♥❋❉➞✢❹✛✮✢ ✑✓✒✂✔✕✔✗✖✙✘✛✚✜✚✄✢✣✢✣✢✥✤✒✧✦★✔✪✩✫✤✢✭✬✯✮✗✒✧✦✱✰✳✲✴✔✗✵✜✰✶✤✷✹✸✻✺✼✚✴✬✴✽✗✔✗✵✾✵✯✩❀✿✾✦★✔❁✚

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