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Um ambiente de execução para suporte à programação paralela com variáveis compartilhadas...

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✛ ✜ ✢✣✜ ✤✦✥★✧✘✩✫✪✬✧ ✭✮✧ ✧✰✯✱✧✳✲✰✴✶✵✲✣✷✢✹✸ ✺✻✢✽✼✾✢ ✿✒✴✻✺❀✸✫✼✬✪✬✧

✢ ✺❂✼❃✸❅❄✫✼❆✢✣✜ ✢✦✵✲✣✷✢✹✸ ✺✻✢✽✼✾✢✣❇★✧✘❇❈✢ ✲✖✸✫✜ ❉✽✢❊✼✟✥✍❋✢✹❉●✧✘✥❈✿

✲✍✸✫✜ ✺❂✢✽✼✒✪❆✥❍❇❏■❑✢✽✭❂✢✽✿ ✧✘✜ ✿✒✥❍✿✗✪✬✧✳✜ ✢✽✿ ✭✦✥❈✿✠✪❃✼✾✥❍✤✦✴✂❋

✭✮✸✫✿

■✮✧▼✪✬✧◆✼❃✸❅❄❀❖✧✳✩✮✧P✸◗✿

❘❚❙✙❯❱❙❃❲❨❳❬❩❭❙✙❯❭❙✙❪★❫❴❲❨❵❬❲✳❛❲❝❜✝❯❱❞✙❡❨❢❣❲✐❤❥❡❦❢♠❧♠❫❍♥❙✙❞✙❪❏❧♦❞☎❲

❵♣❲rqs❪❬❧♠t❨❙✙❩❭❯❱❧♦❵❬❲❨❵❬❙❂❵❏❙❀✉✇✈❲❨❡❝❤①❲③②❬❢♦❡r❳❬❲❨❩④❲

❡❦⑤❏❫❱❙✙❪①⑥❞③✈❲❨❡ ❵❬❡ ❫⑦♥

❫❱②❬❢♦❡⑨❵❬❙✕⑩✠❡❨②❏❫④❡❦❩❶❙✙❷

❜✝❪❬❸❦❙✎❪❬❹♣❲❨❩❭❧❣❲✐❜✝❢❺♥❙✎❫❱❩❱❧♠❞☎❲❏❻

(2)

✛ ✜ ✢✣✜ ✤✦✥★✧✘✩✫✪✬✧ ✭✮✧ ✧✰✯✱✧✳✲✰✴✶✵✲✣✷✢✹✸ ✺✻✢✽✼✾✢ ✿✒✴✻✺❀✸✫✼✬✪✬✧

✢ ✺❂✼❃✸❅❄✫✼❆✢✣✜ ✢✦✵✲✣✷✢✹✸ ✺✻✢✽✼✾✢✣❇★✧✘❇❈✢ ✲✖✸✫✜ ❉✽✢❊✼✟✥✍❋✢✹❉●✧✘✥❈✿

✲✍✸✫✜ ✺❂✢✽✼✒✪❆✥❍❇❏■❑✢✽✭❂✢✽✿ ✧✘✜ ✿✒✥❍✿✗✪✬✧✳✜ ✢✽✿ ✭✦✥❈✿✠✪❃✼✾✥❍✤✦✴✂❋

✭✮✸✫✿

■✮✧▼✪✬✧◆✼❃✸❅❄❀❖✧✳✩✮✧P✸◗✿

❘❚❙✙❯❱❙❃❲❨❳❬❩❭❙✙❯❭❙✙❪★❫❴❲❨❵❬❲✳❛❲❝❜✝❯❱❞✙❡❨❢❣❲✐❤❥❡❦❢♠❧♠❫❍♥❙✙❞✙❪❏❧♦❞☎❲

❵♣❲rqs❪❬❧♠t❨❙✙❩❭❯❱❧♦❵❬❲❨❵❬❙❂❵❏❙❀✉✇✈❲❨❡❝❤①❲③②❬❢♦❡r❳❬❲❨❩④❲

❡❦⑤❏❫❱❙✙❪①⑥❞③✈❲❨❡ ❵❬❡ ❫⑦♥

❫❱②❬❢♦❡⑨❵❬❙✕⑩✠❡❨②❏❫④❡❦❩❶❙✙❷

❜✝❪❬❸❦❙✎❪❬❹♣❲❨❩❭❧❣❲✐❜✝❢❺♥❙✎❫❱❩❱❧♠❞☎❲❏❻

➀ ❩❭❙☎❲✟❵❬❙✬❞✙❡❨❪❬❞✙❙✎❪➁❫❱❩④❲✇⑥❞③✈❲❨❡❬➂

✉❍❧♠❯❭❫④❙✎❷➃❲③❯➄⑩✠❧♦❸❦❧➅❫❴❲❨❧♠❯

➆ ❩❱❧♠❙✙❪★❫❴❲❨❵❏❡❦❩④❲❏➂

❤✝❩❱❡❨➇➈❲❍❻➉⑩✠❩④❲❏❻✝➊➋❧♠❩❱❧❣❲✐➌▼❲③❫④❯❭②❬❷❼❡③❫④❡❼✉❏❲③❫❱❡

(3)

➍❣➎➐➏

➑✠➒⑦➑❺➓✗➔➣→④➑✬➓➃➑❺↔➙↕♣➛➜→❆➛❝➝➞➓✗➔➣→④➑❴➟❺➝♦➒⑦➛❼➠✙➡♣➑✾➑❺➓❝➢❴➤❨↔➅➤✖➠✙➡♣➑✟➛✍➟❴➑❺→➦➥➧➛➃➠✙➡♣➑❃➢❴➤➜➒❺➥➨➤➜➩

➛➜→❭➠✙➡♣➑✟➛❼➠✙➡♣➑❆➢❴➤➜➒❺➥➭➤✍➤❈➟❱➤★➢❴➤☞➛➜➯➣➲❈➑✒➢❴➤➜➒❺➥➭➤➜➩➳➑✟➛➜➯➣➲❈➑✒➤❈➟❱➤★➢❴➤❼➯➸➵➤❈➛❼➢❴➤➜➒❺➥➨➤➜➩

➯➣➤★➲★➤✍➠✙➡➺➑✗➒⑦➑➸➔❏➤❨→❴➑✎➻➟✙➤✍➟❴➛➜➓r➝♦➒❺➥➧➛➃➲❈➑❺➼⑦➝➈➤✟➒⑦➑❺→✟➛❆➒⑦➑❺➯♣➥➽➝➈➲❈➛➃➲★➤❼➼⑦➝➈➲★➤★➾➞➾➞➾❭➚

(4)

➴ ➷ ➬➱➮ ✃ ❐❮❒Ï❰❥Ð ❐ÒÑ ÓÕÔ Ö

❸❦❩❱❲❨❵❬❙❍⑥❞✎❡❊❲✹⑩✠❙✙②❏❯❝❳➣❙✙❢♦❲❨❯✐❧♦❪✗♥②❬❷❝❙✙❩❱❲❨❯✾❡❦❳➣❡❦❩×❫④②❬❪❬❧♠❵♣❲❨❵❬❙✎❯✐❞✙❡❦❪❬❞✎❙✙❵❬❧♠❵♣❲❨❯❝❙☞❳✇❡❦❩✟❯❭②♣❲Ø❞✎❡❦❪❬❯×❫❴❲❨❪★❫④❙

❳❬❩❱❙✎❯❱❙✙❪❥⑥❞☎❲❏❻

❸❦❩④❲③❵❬❙❍⑥❞✎❡✣❛❲✍❤✝❩❭❡❨➇➈❲❏❻✒➊➋❧♦❩❱❧♦❲✍➌P❲③❫❱❯❱②❬❷❝❡❨❫❱❡☞✉❏❲③❫❱❡✍❳✇❡❦❩✗❷❼❙✾❙✎❪❬❯❱❧♠❪♣❲❨❩✬❲✖❷❼❲❨❧♦❯st③❲❨❢♦❧♠❡❦❯④❲❝❢♦❧❭⑥❞③✈❲❨❡

❵❬❙✙❯❭❯❱❙✐❫④❩④❲③⑤♣❲❨❢♦❹❏❡✍❵❬❙✐❵❬❡❦②❏❫❱❡❦❩④❲❨❵❏❡✰❙✐Ù➁②❬❙✐❞☎❲③❩❱❩❱❙✎❸★❲❨❩❭❙✙❧✝❳♣❲❨❩❱❲✖t❍❧♠❵♣❲❏➂✰Ú❭❡☞❷❼❲❨❧♦❯✗❧♦❷❝❳✇❡❦❩×❫❴❲❨❪★❫❱❙✾❯✙✈❲❨❡

❲❨❯Û❳➣❙✙❯❭❯❱❡★❲❨❯❭Ü❬❻Ý✉❍②♣❲❆❵❏❙✙❵❬❧♠❞☎❲✇⑥❞③✈❲❨❡❬Þ❏❡❨❩❱❧♦❙✎❪★❫❴❲✇⑥❞③✈❲❨❡❆❯❭❙✙❸❦②❬❩❱❲❆❙ß❲❨❳➣❡❦❧♠❡❃❪❬❡❨❯➳❷❼❡❨❷❼❙✎❪➁❫❱❡❦❯à❵❬❙✙❢♠❧♦❞☎❲③❵❬❡❦❯à❷❼❙

❙✙❪❬❯❭❧♦❪❬❡❦②✰❷❼❲❨❧♦❯➳Ù➁②❬❙✒Ù➁②♣❲❨❢♠Ù❈②❏❙✙❩➄❢♦❧➅t❍❩❭❡✾❡❦②▼❲❨❩❭❫❱❧♦❸❦❡❏❻

➀ ❸❦❩④❲③❵❬❙❍⑥❞✎❡✘❛❲✟❷❝❧♦❪❬❹♣❲✾➇➈❲❨❷▼♥

❢♠❧❣❲✬❙✒❲❨❷❼❧♠❸❦❡❦❯➳❳➣❙✙❢♦❲✾❞✙❡❦❷❝❳❬❩❭❙✙❙✙❪❏❯✙✈❲❨❡❝❵❬❙✬❷❼❧♠❪❬❹♣❲❨❯➄❲③②❬❯✙á❙✎❪❬❞✙❧♦❲❨❯✙❻

❸❦❩④❲③❵❬❙❍⑥❞✎❡Ø❲P❫❱❡❍❵❏❡❦❯✾❡❦❯✾❷❝❙✙②❏❯✾❞✙❡❦❷❝❳♣❲❨❪❏❹❬❙✙❧♠❩❱❡❦❯✾❵❏❡✘➊

✉❏â✗❻①❜➉❯❭❳✇❙✎❞✙❧♦❲❨❢♦❷❝❙✙❪★❫④❙➃❯❱❡❦②ã❸❦❩❱❲③❫❴❲

❳✇❙✎❢❣❲➃❵❬❙❺❫④❙✎❩❱❷❝❧♦❪♣❲❨❪★❫❱❙✐❲åä❭②❬❵♣❲➃❫❍♥❙✙❞✙❪❏❧♦❞☎❲✍❵❬❙✟➌æ♥❲❨❩❱❧♠❡☞⑩✾❻➋➌P❲③❩❱❧♦❪❏❡✖❙✟❵❬❡✍❳❬❩❭❡❨➇➧❻❆❜✝❵❬❯❭❡❦❪✘❘ß❻ç➌▼❧♠❵❬❡③è

❩❱❧♦é➜❲☎êÛ❲❏❻❊ë☞♥❙✙❢♠❧♦❡✳➌▼❲❨❩❱❞✎❧➳❙☞❜✝②❬❵❬❙✙❪❏❧❣❲◆ì✾❻í➌▼❙✙❪❬❙✎î✙❙✎❯❼❷❝❙✙❩❭❙✙❞✙❙✎❷➱②❬❷❼❲◆❙✙❯❭❳✇❙✎❞✙❧♦❲❨❢➳❷❝❙✙❪①⑥❞③✈❲❨❡✳❳✇❙✎❢♦❡

❙✙❯❭➇ï❡❨❩③⑥❞✙❡❝❵❬❙✎❯❱❳➣❙✙❪❬❵❬❧♠❵❬❡❝❪❬❙✙❯❭❯④❲❼❙❺❫❴❲❨❳❬❲✐ð♣❪❬❲❨❢ñ❵❬❙ß➇ï❡❦❩❭❷➃❲③❫④❲✇⑥❞❨✈❲③❡✟❵❬❡❝❫❱❙❺ò❈❫④❡❏❻

❸❦❩④❲③❵❬❙❍⑥❞✎❡✠❡ß⑩✠❙✙❳❬❲❨❩❭❫④❲❨❷❼❙✎❪★❫④❡✗❵❏❙➳❜✝❪❬❸❦❙✎❪❬❹♣❲❨❩❭❧❣❲✗❵❬❙➳➪Û❡❦❷❝❳❬②❏❫❴❲➣⑥❞❨✈❲❨❡ó❵♣❲✠❜✝❯❱❞✎❡❦❢❣❲ó❤❥❡❦❢♠❧♠❫❍♥❙✎❞✙❪❬❧♠❞☎❲

❵♣❲✐q✠✉❏❤✫❳➣❙✙❢♦❲✾❧♦❪❏➇ï❩❱❲➜èô❙✎❯❭❫④❩❭②❏❫④②❏❩④❲✾➇ï❡❦❩❱❪❏❙✙❞✙❧♠❵♣❲❏❻

➀ ❸❦❩④❲③❵❬❙❍⑥❞✎❡✒❡✬❧♠❪❬❙✙❯×❫④❧♦❷◗♥❲③t❨❙✙❢❬❲③❳✇❡❦❧♠❡✠Ù➁②❬❙➄❲✬➹♣②❬❪❬❵♣❲✇⑥❞③✈❲❨❡ß❵❬❙ ➀ ❷❝❳♣❲❨❩❭❡❼❛❲✬❤❥❙✎❯❱Ù➁②❬❧♦❯❱❲✒❵❏❡✬❜➉❯×❫❴❲❨❵❏❡

❵❬❙❼✉✇✈❲❨❡✰❤①❲❨②❏❢♦❡Ø➶➈❳❬❩❭❡❍❞✎❙✙❯❭❯❱❡▼õ❦ö★÷❍ø❦ø☎õ❦õ❦õ➜è➧ù❦➘➄➇ï❡❦❩❭❪❬❙✙❞✎❙✙②Ø❲③❫④❩❱❲☎t➉♥❙✎❯✬❵❬❙✐❩❱❙✙❞✎②❬❩❱❯❭❡❦❯✒❷➃❲③❫❱❙✙❩❭❧❣❲❨❧♠❯✗❙✐❵❬❡❦❯

(5)

ú

❐❮Ö❊û Ð Ô

➆ ❲☎t❨❲③❪①⑥❞✙❡▼❪♣❲☞❫❱❙✙❞✎❪❬❡❦❢♦❡❨❸❦❧❣❲✍❵❬❙❝❹♣❲❨❩❭❵❏ê➳❲③❩❱❙❝❙✙❯❭❫♣♥❲▼❳➣❙✙❩❭❷❼❧➅❫④❧♦❪❏❵❬❡✍Ù➁②❬❙➃❷◗♥❲❨Ù➁②❬❧♦❪❬❲❨❯❃✉❬➌P❤æ❵❬❙

öØ❳❬❩❭❡❍❞✎❙✙❯❱❯❱❲❨❵❬❡❦❩❭❙✙❯✖❙✎❯❭❫❱❙➧ä❱❲❨❷ ❵❬❧♠❯❱❳➣❡❦❪➋♥

t❨❙✙❧♠❯➃❲✹②❬❷ ❞✙②❬❯×❫④❡✽❞✙❲❨❵♣❲✹t❨❙✙î◆❷❝❙✙❪❏❡❦❩✙Þ➳❳➣❡❦❯❭❯❱❧♦⑤❏❧♦❢♦❧➅❫❴❲❨❪❏❵❬❡

Ù❈②❏❙P❲✘❧♦❪❬❞✎❡❦❩❱❳➣❡❦❩❱❲✇⑥❞❨✈❲❨❡✳❵❏❙✰❫④❲❨❧♦❯✟❷◗♥❲❨Ù➁②❬❧♦❪❬❲❨❯✟❙✙❷Õ❲③❸❦❢♦❡❦❷❝❙✙❩❱❲❨❵❬❡❦❯✟❵❏❙▼❤à➪✗üý❯❼❡❨②◗❲③❫❍♥❙☞❷❼❙✎❯❱❷❝❡Ø❲

❞✙❡❦❷❝❳✇❡❨❯❱❧❭⑥❞③✈❲❨❡✟❵❬❙ß②❬❷þ❲❨❸❦❢♠❡❦❷❼❙✎❩④❲❨❵❏❡✾❵❬❙❃✉❬➌P❤➸üý❯s❯❭❙➧ä❱❲❨❷r❲❨❢♠❫❱❙✙❩❱❪❬❲③❫④❧➅t❨❲③❯Û❞☎❲③❵♣❲✾t❦❙✙î✬❷❼❲❨❧♦❯Ýt❍❧☎♥❲③t❦❙✎❧♦❯

❳♣❲❨❩④❲✐❞✙❡❨❷❼❳❬②❍❫❴❲✇⑥❞③✈❲❨❡❼❵❏❙❃❲③❢♠❫④❡✐❵❬❙✎❯❱❙✎❷❼❳➣❙✙❪❬❹❏❡❬❻ ➆ ❸❦❩❱❲❨❪❬❵❬❙✒❵❬❙✎❯④❲③ð♣❡❅♥❙✬❙❺ò❈❫④❩❱❲❨❧♦❩➄❡❝❳✇❡❨❫❱❙✙❪❬❞✎❧❣❲❨❢➋Ù➁②❬❙

❫❴❲❨❢➁❞✙❡❨❪➜ä❭②❬❪★❫④❡✠❵❏❙Û❷◗♥❲❨Ù➁②❬❧♦❪♣❲③❯❥❡❨➇ï❙✎❩❱❙✎❞✙❙❨❻①qó❷❼❲✗❲❨❢➅❫④❙✎❩❱❪♣❲③❫❱❧♠t③❲✖♥❙Û②❬❯❱❲❨❩①②❏❷ÿ❳♣❲❨❩④❲③❵❬❧♦❸❦❷❼❲➄❹➋♥

⑤❬❩❭❧♦❵❬❡➄❵❬❙

❳❬❩❱❡❦❸❨❩④❲❨❷❼❲✇⑥❞❨✈❲③❡❝❳❬❲❨❩④❲❼❲❨❳❬❩❱❡⑦t❨❙✙❧♠❫④❲❨❩s❲➃❲❨❩❭Ù➁②❬❧♠❫❱❙✎❫④②❏❩④❲✐❵❬❙❃❷❝❙✙❷◗♥❡❦❩❭❧❣❲✟❞✙❡❦❷❝❳♣❲❨❩×❫④❧♠❢♦❹♣❲❨❵❬❲✟❲③❫④❩❱❲⑦t✝♥❙✎❯ó❵❬❙

❷✾②❬❢♠❫❱❧♠❫❱❹❬❩❱❙✙❲❨❵❬❧♦❪❏❸❃❙✠②❍❫④❧♦❢♠❧♦î✙❲❨❩➉❡✟❷❼❡❈❵❬❙✙❢♠❡❆❵❬❙ó❫④❩❱❡❈❞☎❲✾❵❏❙✠❷❼❙✎❪❬❯④❲③❸❦❙✙❪❬❯➸❳❬❲❨❩④❲❆❞✎❡❦❷✾②❬❪❏❧♦❞☎❲➣⑥❞❨✈❲❨❡✾❙✎❪★❫④❩❱❙

❡❦❯ó❪➸♥❡❦❯✙❻ó➪Û❡❦❪★❫④②❏❵❬❡❬Þ➣❙✙❯❱❯❱❲✖❙✙❯×❫④❩④❲➜❫❍♥❙✙❸❨❧❣❲✐❧♦❷❝❳ñ✈❡❦❙✬②❬❷❼❲✐❫④❲❨❩❱❙❺➇➈❲✫♥❲❨❩❭❵❬②♣❲❼❙✒❳➣❡❦②❬❞✙❡❼❳❬❩❱❡❈❵❬②❏❫❱❧♠t③❲✐❳♣❲❨❩④❲

❡❊❳❬❩❭❡❦❸❦❩④❲③❷➃❲❨❵❏❡❦❩✐❵♣❲✽❲❨❳❬❢♠❧♦❞✙❲✇⑥❞❨✈❲❨❡❏❻ ❜✝❯❭❫④❙▼❫④❩④❲③⑤♣❲❨❢♦❹❏❡❊❲❨❳❏❩❱❙✙❯❭❙✙❪★❫❴❲✽❡Ø❯❱❧♠❯❭❫④❙✎❷➃❲❊➪➳❤ ➀ ✁➸è➧➪Û❢♦②❬❯×❫④❙✙❩

Ù❈②❏❙✒❡③➇ï❙✙❩❱❙✎❞✙❙✒②❬❷❼❲✟❲❨⑤❬❯❭❫❱❩④❲✇⑥❞③✈❲❨❡✐❵❬❙✬❷❼❙✎❷✫♥❡❨❩❱❧❣❲❃❞✙❡❦❷❝❳♣❲❨❩×❫④❧♦❢♠❹♣❲❨❵♣❲❃❪❬❡✟❫④❡❦❳➣❡✐❵❬❙ß②❬❷Ò❲❨❸❨❢♦❡❦❷❝❙✙❩❱❲❨❵❬❡

➇ï❡❦❩❱❷❼❲❨❵❬❡❼❳✇❡❦❩s❪➄♥❡❦❯✗❷❼❡❦❪❏❡➃❙❆❷❆②❬❢♠❫❱❧♦❳❬❩❭❡❍❞✎❙✙❯❱❯❱❲❨❵❬❡❦❩❭❙✙❯✎❻

❯❱❧♠❯❭❫④❙✎❷➃❲❅♥❙❆❧♦❷❝❳❬❢♠❙✙❷❝❙✙❪★❫❴❲❨❵❏❡❝❪❏❡✖❪➋♥

t❨❙✙❢

❵❬❙✬⑤❬❧♦⑤❬❢♠❧♦❡❨❫❱❙✙❞✙❲❆❙✬❪ñ✈❲❨❡✟➇➈❲❨îß②❬❯❭❡❝❵❏❙✒❩❭❙✙❞✎②❬❩❱❯❭❡❦❯ó❙✎❯❱❳➣❙✙❞✎❧❣❲❨❧♠❯➳❫❴❲❨❧♠❯➸❞✙❡❦❷❝❡✟❹♣❲❨❩❭❵❏ê➳❲③❩❱❙✬❙✙❯❭❳✇❙✎❞✙❧❣❲③❢♦❧♦î✙❲❨❵❬❡

❡❦②❊❲③❢♠❫④❙✎❩④❲✇⑥❞③✈❲❨❡☞❪♣❲☞❞☎❲❨❷❼❲❨❵♣❲✍❵❬❙✐❯❱❧♠❯❭❫❱❙✙❷❼❲✰❡❦❳➣❙✙❩❱❲❨❞✙❧♠❡❦❪♣❲❨❢➽❻✐✉❍❙✎❩✙✈❲❨❡▼❲❨❳❬❩❭❙✙❯❱❙✎❪★❫❴❲❨❵❬❡❨❯❆❡❦❯✬❷❝❡❍❵❬❙✎❢♦❡❦❯✎Þ

❙✙❯❭❫❱❩④❲③❫❍♥❙✙❸❦❧♦❲❨❯✙Þ①Ù❈②❏❙✙❯❭❫✙✈❡❦❙✙❯✟❵❏❙➃❧♦❷❝❳❬❢♠❙✙❷❝❙✙❪★❫❴❲✇⑥❞③✈❲❨❡✰❙➃❡❦❯❃❩❱❙✙❯❭②❬❢♠❫④❲❨❵❬❡❦❯❆❡❦⑤❏❫④❧♠❵❬❡❦❯❃❲③❫④❩❱❲☎t➉♥❙✎❯✾❵❬❙❝❫④❙✙❯×❫④❙✎❯

(6)

➴ ✂ ÖØÓ✶➬➱➮Õ❒ Ó

❘➸❹❬❙Û❲③❵❏t③❲❨❪❬❞✙❙à❧♦❪✬❹♣❲③❩❱❵❏êÛ❲❨❩❱❙➉❫④❙✎❞❴❹❬❪❬❡❦❢♠❡❦❸❦❧♠❙✙❯ç❧♦❯➋❷❼❲❨é➁❧♦❪❬❸➄❯❭❷➃❲❨❢♠❢❦❞✙❡❨❪❏ð♣❸❦②❬❩❱❲③❫④❧♠❡❦❪❃✉❬➌P❤◆❷❼❲❨❞❴❹❬❧♠❪❬❙✙❯

➶ï➇ï❩❱❡❨❷ ❽ ❫❱❡✍ö✖❳❬❩❱❡❈❞✙❙✎❯❱❯❭❡❦❩❱❯④➘✬❲☎t③❲❨❧♠❢❣❲❨⑤❬❢♠❙✒❲③❫✬❲✖❢♦❡⑦ê✮❞✎❡❦❯❭❫✙❻❆➹♣❡❦❩s❫④❹❬❧♠❯✠❩❱❙✙❲❨❯❱❡❦❪✑Þ✑❫④❹❬❙✟❧♠❪❬❞✙❢♠②❬❯❱❧♠❡❦❪P❡③➇

❲❨❪✳✉❬➌▼❤✫❪❬❡❍❵❏❙❃❧♠❪➁❫❱❡➃❲✐❞✙❢♠②❬❯❭❫❱❙✙❩s❡❨➇✝❤à➪Û❯ó❡❦❩➄❙✎t❦❙✎❪✳❞✙❢♠②❬❯❭❫❱❙✙❩❱❯s❡❨➇✝✉❬➌P❤✝❯✠❲❨❩❭❙❃⑤➣❙✙❞✎❡❦❷❝❧♦❪❬❸✟t❈❧❣❲❨⑤❏❢♦❙

❲❨❢♠❫❱❙✙❩❱❪❬❲③❫④❧➅t❦❙✙❯➸➇ï❡❦❩➸❹❏❧♦❸❦❹☞❳➣❙✙❩❭➇ï❡❨❩❱❷❼❲❨❪❬❞✙❙✬❞✎❡❦❷❼❳❏②❏❫④❧♠❪❬❸❬❻✝❘➸❹❬❙✒❞❴❹♣❲❨❢♠❢♦❙✙❪❏❸❦❙✬❧♦❯➳❫④❹❏❙❃❙➦ò❏❳❏❢♦❡❦❧➅❫❴❲③❫❱❧♦❡❦❪✖❡③➇

❫④❹❬❙✠❞✎❡❦❷❝❳❬②❏❫❴❲➜❫④❧♦❡❨❪♣❲❨❢➺❩❱❙✎❯❱❡❦②❬❩❭❞✙❙✎❯➳❫④❹♣❲③❫Ý❫④❹❬❙✎❯❱❙ß❳❬❢♦❲③❫❱➇ï❡❨❩❱❷❝❯Ý❳❬❩❭❡⑦t❍❧♠❵❬❙❨❻ ➀ ❹☎✄❍⑤❏❩❱❧♦❵✍❳❏❩❱❡❦❸❦❩❱❲❨❷❝❷❼❧♠❪❬❸

❳♣❲❨❩④❲③❵❬❧♦❸❦❷✮ê➄❹❬❧♠❞❴❹❼②❬❯❭❙✙❯➉❯❱❹❬❲❨❩❱❙✎❵❼❷❝❙✙❷❝❡❦❩✆✄❆❲❨❩❭❞❴❹❬❧♠❫❱❙✙❞✎❫❱②❬❩❱❙➸❫❱❹❬❩❱❡❦②❏❸❦❹✟❷✾②❬❢➅❫④❧♠❫❱❹❬❩❱❙✙❲❨❵❬❧♠❪❬❸ß❲❨❪❬❵❝❲❨❢♠❯❱❡

❷❼❙✎❯❱❯④❲③❸❦❙✾❳♣❲❨❯❭❯❱❧♠❪❬❸✖❷❝❡❍❵❬❙✎❢➋➇ï❡❦❩✗❧♠❪➁❫❱❙✙❩ó❪❬❡❍❵❏❙❆❞✙❡❨❷❼❷✾②❏❪❬❧♦❞✙❲③❫④❧♠❡❦❪▼❧♠❯✗❲③❪✳❲❨❢♠❫❱❙✙❩❭❪♣❲③❫④❧➅t❦❙③❻✠ëó❡⑦êÝ❙✎t❨❙✙❩✙Þ

❳❬❩❱❡❦❸❨❩④❲❨❷❝❷❼❧♠❪❬❸✟❧♦❪✰❯❱②❏❞❴❹✳❳♣❲❨❩④❲③❵❬❧♦❸❦❷þ❧♦❯➄t❦❙✙❩✝✄✰❹♣❲❨❩❱❵✑❻➸❘➸❹❬❧♦❯s❫④❹❬❙✎❯❱❧♦❯s❳❬❩❭❙✙❯❱❙✎❪★❫④❯✬➪➳❤ ➀ ✁➳è×➪Û❢♦②❏❯❭❫④❙✎❩✙Þ

❲◆❩❱②❬❪★❫④❧♠❷❼❙❼❯✆✄❈❯❭❫❱❙✙❷✰Þà❫❱❹♣❲③❫✟❳❏❩❱❡⑦t❈❧♦❵❬❙✎❯✟❯❱❹♣❲❨❩❭❙✙❵ã❷❝❙✙❷❝❡❦❩✆✄Ø❲❨⑤❬❯×❫④❩❱❲❨❞✎❫❱❧♦❡❦❪✣❡❦❪✽❫❱❡❦❳✣❡❨➇ó❲◆❞✙❢♠②❬❯❭❫❱❙✙❩

❞✙❡❦❷❝❳✇❡❨❯❱❙✙❵➃⑤✞✄❝❷❝❡❦❪❬❡❃❲❨❪❬❵✖❷❆②❬❢♠❫❱❧♦❳❬❩❭❡❍❞✎❙✙❯❱❯❭❡❦❩➉❪❬❡❈❵❬❙✙❯✎❻✠✟➭❫④❯Û❧♠❷❼❳❏❢♦❙✙❷❝❙✙❪★❫④❲③❫④❧♠❡❦❪✐❧♦❯Ý❲③❫Ý❫❱❹❬❙s❢♦❧♦⑤❏❩④❲❨❩✝✄

❢♦❙✎t❨❙✙❢♣❲③❪❬❵✟❵❬❡❈❙✙❯❱❪✑üý❫✝❩❭❙✙Ù➁②❬❧♠❩❱❙➳❯❭❳✇❙✎❞✙❧❣❲③❢❏❩❱❙✎❯❱❡❦②❏❩❱❞✙❙✎❯➉❯❱②❬❞❴❹❼❲❨❯í❳♣❲③❩❭❫④❧♠❞✙②❬❢♦❲❨❩❚❹♣❲❨❩❱❵❍ê➳❲❨❩❭❙➸❡❦❩①❡❨❳✇❙✎❩④❲③❫❱❧♦❪❬❸

❯✆✄❈❯❭❫❱❙✙❷ ❷❼❡❈❵❬❧➅ð♣❞☎❲③❫❱❧♦❡❦❪❏❯✙❻à➌▼❡❈❵❬❙✙❢♠❯✙Þ➺❯❭❫❱❩④❲③❫❱❙✙❸❦❧♠❙✙❯✎Þ♣❧♦❷❝❳❬❢♦❙✎❷❼❙✎❪➁❫④❲③❫④❧♠❡❦❪✍❲❨❯❭❳✇❙✎❞✎❫❱❯✗❲❨❪❏❵P❩❱❙✎❯❱②❬❢➅❫④❯➸ê➄❧♦❢♠❢

(7)

Ô Ñ Ó➱❐ û ☛ ✃ Ô

☞✍✌✏✎✒✑✔✓✖✕✘✗☎✙✛✚✜✕✣✢✏✤✦✥✏✧ ✙★✙✛✙

✩ ✕✘✧✫✪✬✚✜✥ ✙✮✭

☞✍✯✰✧✱✤✫✎✲✑✳✗✴✤ ✭

✵ ✶

✢✷✤✦✎✒✥✸✓✹✪✻✺✗✳✼✑✳✥

ø❨❻♠ø ➆ ⑤❈ä❭❙❺❫④❧➅t❦❡✮❻❃❻✒❻✒❻❃❻✒❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻

ø❨❻❽ ✽ ②❏❯❭❫④❧➅ð♣❞☎❲➜❫④❧♠t③❲Ò❻✒❻❃❻✒❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ✾

ø❨❻❿ ➌✰❙✎❫④❡❈❵❬❡❦❢♠❡❦❸❦❧♦❲ ❻✒❻❃❻✒❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ✿

ø❨❻❀✾ ➆ ❩❭❸★❲❨❪❬❧♠î☎❲✇⑥❞③✈❲❨❡✟❵❬❡✟❫④❙➦ò❍❫❱❡✱❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❁

❂ ❃

✧❅❄❆✙✛✧❇✤✦✕✘✚❈✑✔✧❉✓✹✕❋❊●✕✘✚■❍✥❏✎✲✙✮✑▲❑▼✙★✧✱✤✦✎✲✙✮✯✰✪◆❍

✓✹✑❈P◗✥✏✚❈❘✹✑✳✎✦✤✒✙✛❙★❚✖✑✔✓✹✑ ❯

❻♠ø ➀ ⑤✇❡❨❩❱❵♣❲❨❸❨❙✙❪❬❯ ❻✒❻❃❻✒❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ö

❽ ❻❽ ⑩✠❙✎❞✙❧♠❯✙✈❡❦❙✎❯s❵❏❙❃❤✝❩❭❡➜ä❭❙✎❫❱❡❦❯ ❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ õ

❽ ❻❽ ❻➅ø ❜✝❯❭❫❱❩❱②❏❫❱②❬❩④❲✐❙✬❸❦❩④❲❨❪➁②❬❢♠❡❦❯❱❧♠❵♣❲❨❵❬❙ ❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ø ❾

✉❍❙✎❷✘á❲❨❪★❫❱❧♦❞☎❲✟❵♣❲✟❞✎❡❍❙✎❩✙á❙✙❪❏❞✙❧❣❲✐❙ß❞✙❡❨❪❬❯❱❧♠❯❭❫☎á❙✎❪❬❞✙❧♦❲Ø❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ø❦ø

❽ ❻❽ ❻❿ ❜✝❯❱❞✙❲❨❢❣❲❨⑤❏❧♦❢♦❧♠❵♣❲❨❵❬❙ ❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ø✫✾

❽ ❻❽ ❻❱✾ ëó❙❺❫④❙✎❩❱❡❦❸❦❙✎❪❬❙✙❧♠❵♣❲❨❵❬❙ ❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ø✫✾

✟ô❷❝❳❬❢♠❙✙❷❝❙✙❪★❫❴❲✇⑥❞③✈❡❦❙✙❯ã❻✒❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ø✦❁

❽ ❻❿ ❻➅ø

❞✎❙✙❯❭❯❱❡➃❙✬❢♠❡❍❞✙❲❨❢♦❧♠î☎❲✇⑥❞③✈❲❨❡❆❵❬❙✬❵♣❲③❵❬❡❦❯ ❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ø✦❁

❤✝❩❱❡❨❫❱❡❍❞✎❡❦❢♦❡✟❵❏❙✒❞✎❡❍❙✎❩✙á❙✎❪❬❞✙❧♦❲ ❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ øåù

❻❀✾ ➀ ❢♦❸❦②❏❪❬❯➳❫④❩❱❲❨⑤♣❲❨❢♠❹❬❡❦❯➸❩❱❙✎❢❣❲❨❞✎❧♦❡❦❪❬❲❨❵❬❡❦❯✕❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ø⑦ö

❽ ❻❀✾❬❻➅ø ❤✝❩❱❡❨❫❱❡❍❞✎❡❦❢♦❡✐ës❡❦❷❝❙❺èô⑤❬❲❨❯❱❙✎❵✰❳❬❲❨❩④❲✐❪➄♥❡❦❯ó✉❬➌P❤ ❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ø⑦ö

❻❀✾❬❻

❽ ❲

❡❨❷➃❲❨❵❊❻❃❻✒❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ø⑦õ

❻❀✾❬❻

✉❬➪Û❡❦❩❭❙✬❙ ➆ ❷❝❪❬❧ ➆ ❳➣❙✙❪➺➌P❤ ❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻

❽❨❾

❽ ❻❀✾❬❻❱✾ ➆ ❞✎❡❦❷❝❳❬❧♦❢♦❲❨❵❬❡❦❩Ý❙✒❡❝❲❨❷❆⑤❬❧♦❙✎❪➁❫❱❙✬❵❬❙✬❙❺ò❍❙✙❞✎②①⑥❞❨✈❲❨❡❼❳♣❲❨❩❱❲✐❢♠❧♦❪❬❸❨②♣❲❨❸❦❙✎❷r➪àò❬➪ ❽ ø

❽ ❻❀✾❬❻❳✿ ⑩✠❙✙❯❱❲③ð♣❡❦❯ ❻✒❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❽❦❽

❨ ☞❬❩❭✙✛✢✖✌✏✪✹✑✳✌❏✕✘✚ P❫❪❴☞ ✩ ❂❏❵

❻♠ø ➀ ➊➋❧♠❪❬❸❦②♣❲❨❸❨❙✙❷Ò➪➳❤ ➀ ✁ ❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻

❿ ❻♠ø❦❻➅ø ❛ß❩④❲❨❪➁②❬❢♠❡❦❯❱❧♠❵♣❲❨❵❬❙✠❵❏❡❼❳♣❲③❩④❲❨❢♠❙✙❢♦❧♠❯❱❷❝❡ ❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❽ ❁

❿ ❻♠ø❦❻❽ âÛ❢♠❡❍❞✎❡❦❯➄❤①❲❨❩❱❲❨❢♦❙✎❢♦❡❦❯ó❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❽ ❁

❿ ❻♠ø❦❻❿ ➌P❲❨❞✎❩❱❡❦⑤❏❢♦❡❈❞✙❡❦❯❼❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❽ ù

❻♠ø❦❻❱✾ ➌P❲❨❞✎❩❱❡❨❫④❲❨❩❱❙❺➇➈❲❨❯ ❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻

ù

❿ ❻♠ø❦❻❳✿ ➌▼❧♠❞✙❩❱❡③❫❴❲❨❩❭❙✎➇➈❲❨❯❼❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❽ õ

❻♠ø❦❻❀❁ ➹♣②❬❪①⑥❞③✈❡❦❙✙❯s❤①❲③❩④❲❨❢♠❙✙❢❣❲③❯✹❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻

õ

(8)

❻♠ø❦❻ö ❤①❲③❯❱❯④❲③❸❦❙✙❷Ò❵❬❙❃➌▼❙✎❪❬❯④❲③❸❦❙✙❷ ❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻

❿❦❾

❿ ❻♠ø❦❻õ ➌▼❙✎❞☎❲❨❪❬❧♠❯❱❷❝❡❦❯➄❵❬❙❃✉❍❧♦❪❏❞✙❩❱❡❨❪❬❧♦î✙❲✇⑥❞❨✈❲❨❡ ❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❿★❽

❿ ❻❽ ✉❈❧♦❯❭❫❱❙✙❷❼❲❨❯➸❵❬❙✬❳❬❩❭❡❦❸❦❩④❲③❷➃❲✇⑥❞③✈❲❨❡✟❳♣❲❨❩❱❲❝➪➳❤

✁✶❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❿ ✾

❻➅ø ✉❍❧♠❯❭❫④❙✎❷➃❲✾❵❏❙❃❳❬❩❭❡❦❸❦❩❱❲❨❷➃❲➣⑥❞❨✈❲❨❡✾❳❬❲❨❩④❲✐❷❼❙✎❷✫♥❡❨❩❱❧❣❲❃❞✙❡❦❷❝❳♣❲❨❩×❫④❧♦❢♠❹♣❲❨❵♣❲❝❻❃❻✒❻✒❻

❿ ❻❽ ❻❽ ✉❍❧♠❯❭❫④❙✎❷➃❲➄❵❬❙Ý❳❬❩❱❡❦❸❨❩④❲❨❷❼❲✇⑥❞❨✈❲③❡ó❳♣❲③❩④❲ó❷❆②❬❢♠❫❱❧♦❞✙❡❨❷❼❳❬②❍❫❴❲❨❵❬❡❨❩❱❙✙❯➋❹❏❙✎❫④❙✎❩❱❡❦❸❬á❙✙❪❬❙✎❡❦❯ ❿ ✿

✉❍❧♠❯❭❫④❙✎❷➃❲✐➪➳❤ ➀ ✁ÿ❯❱❡❨⑤❬❩❱❙✒❤❝❜✬➌ ❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻

ù

❞ ❊❡✥✸✓✖✕✘❙★✥❢✓✹✥❣❄✸✙★✧✱✤✦✕✘✚❈✑❢P◗❪◆☞ ✩✐❤ P❫❙✛✪✹✧✱✤✦✕✞✎ ❨❏❥

✾❏❻♠ø ➌✰❡❍❵❬❙✎❢♦❡✐❵❬❙✒❜①ò❍❙✙❞✙②❥⑥❞❨✈❲❨❡ ❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻❦✾

✾❏❻♠ø❦❻➅ø ➆ ❜①ò❍❙✙❞✎②❏❫④❡❨❩Õ❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻❦✾

✾❏❻♠ø❦❻❽

➪Û❡❨❷✾②❬❪❬❧♠❞☎❲❨❵❬❡❨❩✽❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻❦✾☎❁

✾❏❻♠ø❦❻

❜à❲❨❩❭❧⑦♥❲③t❨❙✙❧♦❯s➪Û❡❨❷❼❳♣❲③❩❭❫④❧♠❢♦❹♣❲③❵♣❲❨❯ ❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻❦✾☎❁

✾❏❻♠ø❦❻❱✾ ➆ ❜✝❷❝❧♦❯❭❯❱❡❦❩✹❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻❦✾★õ

✾❏❻❽ ❜✝❯❭❞☎❲❨❢♠❡❦❪♣❲❨❷❝❙✙❪★❫④❡✐❵❬❙✬❷❼❲❨❞✙❩❭❡✐❙ß❷❼❧♠❞✙❩❱❡③❫❴❲❨❩❭❙✎➇➈❲❨❯✾❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻❧✿ ❿

✾❏❻

❻➅ø ❜✝❯❱❞✙❲❨❢♦❡❦❪❬❲❨❷❼❙✎❪★❫④❡✐❵♣❲❨❯➄❷❼❲❨❞✙❩❭❡❨❫❴❲❨❩❭❙✎➇➈❲❨❯➸❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻❧✿

✾❏❻❽ ❻❽ ➆ ❙✎❯❱❞✙❲❨❢♦❡❦❪❬❲❨❷❼❙✎❪★❫④❡✐❵♣❲❨❯➄❧♠❫❱❙✙❩❱❲✇⑥❞❨✈❡❦❙✎❯☞❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻❧✿♠✾

❵ ✶

✚❈❘✬❙★✕✘✚❈✕✘✢✷✤✫✑❝✺✗✳✼✑✳✥✜✓✹✥♥❄❆✙★✧✱✤✦✕✘✚❈✑

✿❈❻♠ø ♦✠②❬❙✎❯❭❫✙✈❡❦❙✙❯s❵❬❙✬❳❬❩❱❡åä❭❙✎❫④❡✐❙✬❧♦❷❝❳❬❢♠❙✙❷❝❙✙❪★❫❴❲✇⑥❞③✈❲❨❡⑨❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻❧✿❦ù

✿❈❻♠ø❦❻➅ø ❤①❲③❩④❲❨❢♠❙✙❢♦❧♠❯❱❷❝❡✾❳➣❡❦❩➳❫④❹❬❩❭❙☎❲❨❵❏❯ ❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻❧✿❦ù

✿❈❻♠ø❦❻

❤❝❜✬➌ ❡❦②P➌P❤✠✟✝♣ ❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻❧✿❨ö

✿❈❻❽ ❜í❫④❲❨❳♣❲❨❯➄❵♣❲✟❧♦❷❝❳❬❢♠❙✙❷❝❙✙❪★❫❴❲✇⑥❞③✈❲❨❡ ❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻❧✿❨õ

✿❈❻❿ ⑩✠❙❺ð♣❪❬❧×⑥❞❨✈❲❨❡✟❵♣❲✐❯❱❧♠❪★❫❴❲➜ò❍❙✬❙ß❫④❩④❲➜❫❴❲❨❷❝❙✙❪★❫④❡✐❵❬❡❨❯ó❲③❩❱Ù➁②❬❧♠t❨❡❦❯➄❵❬❡✐②❬❯❱②➸♥❲❨❩❱❧♠❡ ❻✒❻❃❻✒❻✒❻q❁ ❾

✿❈❻

❻➅ø ➆ ❳❏❩❱❡❦❸❦❩❱❲❨❷❼❲✾❵❬❡❼②❏❯❱②➄♥❲❨❩❭❧♦❡✣❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻q❁❏ø

✿❈❻

➀ ❯➄❷◗♥❲❨Ù➁②❬❧♦❪❬❲❨❯➸❵♣❲✟❩❱❙✎❵❬❙❀❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻q❁

✿❈❻❿ ❻❿

❳❏❩❈♥❙❺è➭❙✙❯❭❞☎❲❨❢♠❡❦❪♣❲❨❷❝❙✙❪★❫④❡✂❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻q❁ ❽

✿❈❻❀✾ ❜①ò❍❙✙❞✎②①⑥❞❨✈❲③❡➃❙✙❷þ❩❱❙✙❵❏❙✒❹❏❙✎❫④❙✎❩❱❡❦❸❬á❙✙❪❬❙✙❲❅❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻q❁

✿❈❻❀✾❬❻➅ø ⑩✠❙✙❯❭❞✙❩❭❧❭⑥❞❨✈❲③❡❝❵❏❙✒②❏❷r❞✙❡❦❪åä❭②❬❪★❫④❡❝❵❬❙✬❷✫♥❲❨Ù➁②❬❧♠❪♣❲❨❯➸❹❬❙❺❫④❙✎❩❱❡❦❸❬á❙✎❪❬❙☎❲③❯ ❻❃❻✒❻✒❻q❁

✿❈❻❀✾❬❻❽

❸❦❙✎❩④❲✇⑥❞③✈❲❨❡❼❵❏❡❦❯➄❙❺ò❍❙✙❞✎②❏❫➺♥❲③t❨❙✙❧♠❯ ❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻q❁☎✿

✿❈❻r✿ ➀ ❞✎❡❦❪❏ð♣❸❨②❬❩④❲✇⑥❞③✈❲❨❡❝❵❬❡✐❯❱❧♦❯×❫④❙✎❷➃❲Õ❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻q❁☎✿

✿❈❻r✿❍❻➅ø ➀ ❫❴❲③⑤✇❙✎❢❣❲✟❵❬❙✬❪➄♥❡❦❯❅❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻q❁s❁

✿❈❻r✿❍❻❽

❫❴❲③⑤✇❙✎❢❣❲✟❵❬❙ß❫❴❲❨❩❭❙✎➇➈❲❨❯❑❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻q❁★ù

✿❈❻❳❁ ➆ ❙✙❯❭❞☎❲❨❢♠❡❦❪♣❲❨❷❝❙✙❪★❫④❡✐❵❬❙ß❫④❲❨❩❱❙❺➇➈❲❨❯➄❙✒❡✐⑤♣❲③❢❣❲❨❪❬❞✎❙☎❲❨❷❝❙✙❪★❫❱❡❝❵❏❙✒❞✙❲❨❩❱❸❦❲✐❵❏❡❦❯➄❪➄♥❡❦❯ ❻✒❻q❁❦ö

✿❈❻❳❁❏❻➅ø ➀ ❲③❫❱❧♠t③❲✇⑥❞❨✈❲③❡❝❵❬❲❨❯➸❫❴❲❨❩❭❙✎➇➈❲❨❯ ❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻q❁❦õ

✿❈❻ù

❙➦ò❍❙✙❞✙②❥⑥❞❨✈❲❨❡✖❵❬❲❨❯➸❷❼❧♠❞✙❩❭❡❨❫❴❲❨❩❭❙✎➇➈❲❨❯◗❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻q❁❦õ

✿❈❻ù❍❻➅ø ➀ ❧♦❷❝❳❬❢♠❙✙❷❝❙✙❪★❫❴❲✇⑥❞③✈❲❨❡✟❵❬❡✐❙✙❯❭❞☎❲❨❢♠❡❦❪♣❲❨❷❝❙✙❪★❫❱❡❝❵❬❲❨❯➄❧♠❫④❙✎❩④❲✇⑥❞③✈❡❦❙✙❯ ❻✬❻✒❻❃❻✒❻✒❻➐ù

✿❈❻➙ö

❯➸t❨❲③❩❱❧⑦♥❲➜t❦❙✙❧♠❯➸❞✙❡❦❷❝❳♣❲❨❩×❫④❧♠❢♦❹♣❲❨❵❬❲❨❯Û❵❬❙✎❪★❫④❩❱❡❝❵❬❡❝❯❱❧♠❯❭❫④❙✎❷➃❲❑❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➐ùs✿

✿❈❻➙ö❏❻➅ø

❩❱❙✎❳❬❩❱❙✎❯❱❙✎❪➁❫④❲✇⑥❞❨✈❲③❡✖❵❬❡❦❯➄❡❦⑤❈ä❭❙❺❫④❡❦❯⑨❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➐ùs✿

✿❈❻➙ö❏❻

➀ ❲③❫❱②♣❲❨❢♦❧♠î☎❲✇⑥❞③✈❲❨❡✟❵❬❙✬②❬❷r❙✎❢♦❙✎❷❼❙✎❪➁❫❱❡✮❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱ö

✿❈❻➙ö❏❻❿ ➆ ❳❏❩❱❡❨❫❱❡❍❞✎❡❦❢♦❡✟❵❬❙✬❳❬❩❭❡❦❳♣❲❨❸❦❲✇⑥❞❨✈❲❨❡✐❵❬❙✒❲③❫❱②♣❲❨❢♠❧♦î☎❲➣⑥❞❨✈❲❨❡ ❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱ö☎✿

✿❈❻➙õ ➌✰❙✙❞☎❲③❪❬❧♦❯❭❷❼❡❦❯➸❵❏❙✒❯❭❧♦❪❬❞✎❩❱❡❦❪❏❧♦î☎❲➣⑥❞❨✈❲❨❡✐❙✬❙❺ò❍❞✙❢♠②❬❯✙✈❲③❡❼❷❶♥②❏❫④②♣❲✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱õ ❽

✿❈❻➙õ❏❻➅ø ✉❍❙✎❷✫♥❲③➇ï❡❨❩❱❡❦❯❑❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱õ

✿❈❻➙õ❏❻

â➳❲❨❩❭❩❱❙✎❧♦❩④❲③❯◆t✽❲❨❧➅❫ ❘❥❲❨❯❭é✖❙✉t✽❲❨❧➅❫ ➀ ❢♦❢✦❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱õ

(9)

☞❅✢✇❍✑✔❙★✙✛✧✱✕❋✓✖✥✷✧ ✩ ✕✘✧✫✪✹❙✮✤✫✑✔✓✹✥✏✧

❥❏❵

❁❍❻♠ø ⑩✠❙✎❯❱❞✎❩❱❧❭⑥❞③✈❲❨❡✐❵❬❡❦❯➄❘❚❙✙❯❭❫❱❙✙❯ ❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱õ☎✿

❁❍❻♠ø❦❻➅ø ➌▼❙❺❫④❡❈❵❬❡❦❢♦❡❨❸❦❧❣❲❅❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱õs❁

❁❍❻♠ø❦❻

➌▼②❬❢➅❫④❧♠❳❬❢♦❧♠❞☎❲✇⑥❞③✈❲❨❡✾❵❬❙❃➌P❲③❫❱❩❱❧♠î✙❙✙❯Õ❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱õ★ù

❁❍❻♠ø❦❻❿ ❜➉❙✙❩❭❯✙✈❲❨❡❝❞✙❡❨❷Ò❲③❫④②❬❲❨❢♦❧♠î☎❲✇⑥❞③✈❲❨❡✾❙✙❷þ②❬❷r❪➄♥❡P➶①❛ß❢♦❡❦⑤❬❲❨❢➋➌▼❙✎❯❭❫❱❩❱❙⑦➘ ❻✒❻❃❻✒❻✒❻➱õ❦õ

❁❍❻♠ø❦❻❱✾ ❜➉❙✙❩❭❯✙✈❲❨❡❝❯❱❙✎❷■❜à❲❨❩❭❧⑦♥❲③t❨❙✙❧♦❯s➪Û❡❨❷❼❳♣❲③❩❭❫④❧♠❢♦❹♣❲③❵♣❲❨❯✬➶➈➊ç❡❈❞☎❲③❢➞➘ ❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱õ❦õ

❁❍❻♠ø❦❻❳✿ ➆ ❤✝❩❭❡❦⑤❬❢♦❙✎❷➃❲✟❵❬❡❼➪➳❲❨❧ò❍❙✙❧♦❩❭❡✇❜✠❧❣❲⑦ä❱❲❨❪★❫④❙ÿ❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø

❾★❽

❁❍❻❽ ✁➄❙✙❯❭②❬❢♠❫④❲❨❵❬❡❦❯ ➆ ⑤❏❫❱❧♦❵❬❡❨❯➸❙

❪➄♥❲❨❢♠❧♦❯❱❙ ❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø ❾ ✾

❁❍❻

❻➅ø ✉❍❡❦⑤❏❩❱❙✙❞✙❲❨❩❱❸❦❲✐❧♠❷❼❳➣❡❦❯×❫❴❲✾❳➣❙✙❢❣❲✾❫❱❩❱❡❈❞☎❲✟❵❬❙✬❷❼❙✎❪❬❯④❲③❸❦❙✙❪❬❯➄❵❬❙✒❲③❫❱②♣❲❨❢♠❧♦î☎❲➣⑥❞❨✈❲❨❡ ø

❁❍❻

✉❍❡❦⑤❏❩❱❙✙❞✙❲❨❩❱❸❦❲✐❧♠❷❼❳➣❡❦❯×❫❴❲✾❳➣❙✙❢❣❲✟❞✎❡❍❡❦❩❭❵❬❙✙❪❬❲✇⑥❞❨✈❲❨❡✐❵❬❡✐➇ï❡❦❩❱❲❨❢♦❢ß❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø❦øåù

❁❍❻❽ ❻❿ ❜✝❯❱❞✙❲❨❢♦❡❦❪❬❲❨❷❼❙✎❪★❫④❡✐❵❬❙✬❧♠❫❱❙✙❩④❲➣⑥❞❨✈❡❦❙✎❯ ❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø❦øåù

❁❍❻❽ ❻❱✾ ✉❍❙✎❷✫♥❲③➇ï❡❨❩❱❡❦❯❑❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø❦ø⑦õ

❯ P◗✥✏✢✹✗☎❙✛✪✹✧s✼✥❏✕✘✧ ✵✘❂✔②

ù❈❻♠ø ➪Û❡❨❪❬❞✙❢♠②❬❯✙✈❡❦❙✎❯➄❵❬❡❝❫❱❩④❲❨⑤❬❲❨❢♦❹❬❡●❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø

❽❨❾

ù❈❻❽ ➪Û❡❨❪➁❫❱❩❱❧♠⑤❬②❬❧❭⑥❞③✈❡❦❙✙❯þ❻❃❻✒❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø ❽ ø

ù❈❻❿ ❘❚❩④❲③⑤♣❲❨❢♦❹❏❡❦❯➳➇ï②❏❫④②❏❩❱❡❦❯❅❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø ❽❦❽

✩ ✕✞③④✕✞✎✳⑤✕✘✢✹✗☎✙★✑✳✧

✵✘❂✳❞

☞❅❙✮✌✏✥❏✎✲✙⑥✤✒✚❈✥▲✓✖✕❋⑦✉✧✫✗s✑✔❙✮✥✏✢✹✑✳✚❈✕✘✢✷✤✦✥

✵✘❂❏⑧

⑨ P♥❍✥✏✓✹✙★✌❏✥⑩P◗❪❴☞ ✩❷❶ ❄❸❪

✵✘❨✸✵

P P♥❍✥✏✓✹✙★✌❏✥✏✧✇✕✞❹❆❘✬✑✔✢✹✓✹✙✛✓✖✥✏✧❺✓✖✥✷✧❉❘✹✎✲✥❏✌❏✎✒✑✔✚❈✑✔✧❻✓✖✕❼✤✦✕✘✧✱✤✦✕ ✵✘❨❏⑧

➪✗❻➅ø➱❘❥❲❨⑤➣❙✙❢♦❲➄❵❏❙❭❜à❲❨❩❭❧⑦♥❲③t❨❙✙❧♠❯❚➪Û❡❦❷❼❳❬❲❨❩❭❫❱❧♦❢♦❹❬❲❨❵♣❲❨❯ñ❵❏❡❦❯❥❳❏❩❱❡❦❸❦❩❱❲❨❷❼❲❨❯➋❵❬❙à❷✾②❬❢♠❫❱❧♦❳❬❢♠❧♦❞✙❲✇⑥❞❨✈❲❨❡

❵❏❙✒❷❼❲③❫❱❩❱❧♦î✎❙✙❯ ❻✒❻❃❻✒❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø ❿ ö

➪✗❻➅ø❦❻➅ø

❲③❩❱Ù➁②❬❧♠t❨❡❼❵❏❙✒❳❏❩❱❡❨❫❱❡❨❫④❧♠❳♣❲✇⑥❞❨✈❲③❡❮❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø ❿ ö

➪✗❻➅ø❦❻

➆ ❲③❩❱Ù➁②❬❧♠t❨❡❼❵❏❙✒❵❏❙✙❞✙❢♦❲❨❩④❲➣⑥❞❨✈❲❨❡✐❙✒❲✾❫❴❲❨⑤➣❙✙❢♦❲ ❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø

ö

➪✗❻❽ ➌✰②❬❢♠❫❱❧♦❳❬❢♠❧♦❞☎❲➣⑥❞❨✈❲❨❡✐❵❬❙✐➌▼❲③❫④❩❭❧♦î✙❙✎❯✗t❦❙✎❩❱❯✎✈❲❨❡☞❞✙❡❦❷❮❲③❫❱②♣❲❨❢♦❧♠î☎❲✇⑥❞③✈❲❨❡➃❙✎❷❮❫❱❡❍❵❏❡❦❯✗❡❦❯✗❪➄♥❡❦❯

❙✬❯❭❙✙❷þt③❲❨❩❭❧⑦♥❲③t❨❙✙❢ç❲❨②❍ò❍❧♠❢♦❧❣❲③❩➐❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø ❿ õ

➪✗❻

➌✰②❬❢♠❫❱❧♦❳❬❢♠❧♦❞☎❲➣⑥❞❨✈❲❨❡✐❵❬❙✐➌▼❲③❫④❩❭❧♦î✙❙✎❯✗t❦❙✎❩❱❯✎✈❲❨❡☞❞✙❡❦❷❮❲③❫❱②♣❲❨❢♦❧♠î☎❲✇⑥❞③✈❲❨❡➃❙✎❷❮❫❱❡❍❵❏❡❦❯✗❡❦❯✗❪➄♥❡❦❯

❙✬❞✎❡❦❷þt③❲❨❩❱❧☎♥❲③t❦❙✎❢➋❲❨②❍ò❍❧♠❢♦❧❣❲③❩r❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø✫✾s✾

➪✗❻❱✾ ➌✰②❬❢♠❫❱❧♦❳❬❢♠❧♦❞☎❲➣⑥❞❨✈❲❨❡❃❵❬❙❃➌P❲③❫④❩❭❧♦î✎❙✙❯➸t❦❙✎❩❱❯✙✈❲③❡➃❞✙❡❨❷Ò❲③❫④②❬❲❨❢♦❧♠î☎❲✇⑥❞③✈❲❨❡✾❯❱❡❨❷❼❙✎❪➁❫❱❙✬❪❬❡❼❷❝❙✙❯➧è

❫❱❩❱❙ß❙✬❞✙❡❨❷þt③❲❨❩❱❧☎♥❲③t❦❙✎❢ç❲❨②❍ò❍❧♦❢♠❧❣❲❨❩ ❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø✫✾★õ

➪✗❻❳✿ ➌✰②❬❢♠❫❱❧♦❳❬❢♠❧♦❞☎❲➣⑥❞❨✈❲❨❡✟❵❬❙✟➌P❲③❫④❩❭❧♦î✎❙✙❯➄t❦❙✙❩❭❯✙✈❲❨❡✍❯❭❙✙❷❮❙✙❪★t❈❧♦❡✖❵❏❙❆❷❝❙✙❪❬❯❱❲❨❸❦❙✙❷ ❵❬❙❆❲③❫④②❬❲➜è

❢♠❧♦î✙❲✇⑥❞❨✈❲❨❡❆❙✒❞✎❡❦❷þt③❲❨❩❭❧⑦♥❲③t❨❙✙❢ç❲❨②❍ò❍❧♠❢♦❧❣❲③❩ ❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø✒✿♠✾

➪✗❻❀❁ ❘❥❲❨⑤➣❙✙❢♦❲✾❵❬❙❽❜à❲③❩❱❧⑦♥❲➜t❦❙✙❧♠❯➄➪Û❡❦❷❝❳♣❲❨❩×❫④❧♦❢♠❹♣❲❨❵♣❲③❯➳❵❬❡✐❳❬❩❱❡❨❸❦❩④❲❨❷❼❲✾❘s✉❏❤ ❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø✒✿❨ö

➪✗❻❀❁❏❻➅ø ➆ ❲③❩❱Ù➁②❬❧♠t❨❡❼❵❏❙✒❳❏❩❱❡❨❫❱❡❨❫④❧♠❳♣❲✇⑥❞❨✈❲③❡❮❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø✒✿❨ö

➪✗❻❀❁❏❻❽

❲③❩❱Ù➁②❬❧♠t❨❡❼❵❏❙✒❵❏❙✙❞✙❢♦❲❨❩④❲➣⑥❞❨✈❲❨❡✐❙✒❲✾❫❴❲❨⑤➣❙✙❢♦❲ ❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø✒✿❨õ

➪✗❻➙ù ➀ ❙➦ò❍❳♣❲❨❪❬❯✎✈❲❨❡➃❵❬❡✐❳❬❩❭❡❦❸❦❩❱❲❨❷➃❲✐➪➳❤ ➀ ✁æ❘s✉❏❤ ❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø✦❁

(10)

❰①ÖØÓ❂➮ ✃ ❐ ❿ ❰í➷ û ➬✶➮ Ö

ø❨❻♠ø qs❷r❙✙❯❭Ù➁②❬❙✙❷❼❲❝❵❏❙✒❷❝❙✙❷◗♥❡❦❩❭❧❣❲❆❞✎❡❦❷❼❳❬❲❨❩❭❫❱❧♦❢♦❹❬❲❨❵♣❲❆❵❬❧♠❯❭❫❱❩❱❧♦⑤❏②➋♥

❵♣❲❍❻ ❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻

❽ ❻♠ø ✉❈❳✇❙✎❙✙❵❬②❬❳▼❵♣❲✟❷✾②❬❢➅❫④❧♦❳❏❢♦❧♦❞✙❲✇⑥❞❨✈❲③❡❆❵❬❙✬❷❼❲③❫④❩❭❧♦î✙❙✎❯➸❪❬❡❝❲❨❷✾⑤❬❧♠❙✙❪★❫④❙❃➪àò❬➪➁➀➂✟❴❻➅Þ ❽❨❾❦❾❦❿♠➃ ❻✰❻ ❽❦❽

❿ ❻♠ø ✉❈❧♦❪★❫❴❲➜ò❍❙✬❵♣❲✟❞✙❡❨❪❬❯❭❫❱❩❱②①⑥❞③✈❲❨❡❼❞✎❡❦⑤➣❙✙❸❦❧♠❪❍èô❞✎❡❍❙✎❪❬❵ñ❻❝❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❽ ù

✉❈❧♦❪★❫❴❲➜ò❍❙✬❵❬❙✬❷❼❲❨❞✙❩❭❡❦⑤❬❢♦❡❈❞✙❡❏❻✠❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻

ù

❿ ❻❿ ✉❈❧♦❪★❫❴❲➜ò❍❙✬❵❬❙✬❙✙❯❭❳✇❙✎❞✙❧➅ð♣❞☎❲✇⑥❞③✈❲❨❡❝❵❬❙✬②❬❷➃❲✟❷❼❲❨❞✙❩❭❡❨❫❴❲③❩❱❙✎➇➈❲❍❻✇❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❽ ö

❿ ❻❀✾ ✉❈❧♦❪★❫❴❲➜ò❍❙✬❵❬❡✐❞✙❡❨❩❱❳➣❡❝❵❏❙✒②❏❷➃❲✟❷❼❲❨❞✙❩❭❡❨❫❴❲❨❩❭❙✎➇➈❲❏❻Õ❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❽ ö

❻r✿ ✉❈❧♦❪★❫❴❲➜ò❍❙✬❵❬❙✒❲③❫❱❧♠t③❲✇⑥❞❨✈❲③❡✟❵❬❙✬②❬❷➃❲✟❷❼❲❨❞✙❩❭❡❨❫❴❲③❩❱❙✎➇➈❲❍❻❊❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻

ö

❿ ❻❳❁ ✉❈❧♦❪★❫❴❲➜ò❍❙✬❵❬❙✬②❬❷r❢♦❲✇⑥❞✙❡✟❳❬❲❨❩④❲❨❢♠❙✙❢♠❡❬❻☞❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❽ õ

❿ ❻ù ✉❈❧♦❪★❫❴❲➜ò❍❙✬❵♣❲✟❞✙❡❨❪❬❯❭❫❱❩❱②①⑥❞③✈❲❨❡❼❳❬❲❨❩❱⑤➣❙✙❸❦❧♠❪❍èô❳❬❲❨❩❱❙✎❪❬❵ñ❻①❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❽ õ

❻➙ö ✉❈❧♦❪★❫❴❲➜ò❍❙✬❵♣❲✟❵❬❙✎❞✙❢❣❲③❩④❲✇⑥❞③✈❲❨❡✐❵❬❙ß➇ï②❬❪①⑥❞❨✈❲③❡❼❳♣❲③❩④❲❨❢♠❙✙❢❣❲❍❻Û❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻

❿❦❾

❿ ❻➙õ ✉❈❧♦❪★❫❴❲➜ò❍❙☞❵♣❲✘❵❬❙✙❞✎❢❣❲❨❩❱❲✇⑥❞❨✈❲③❡✹❵❏❙✰➇ï②❬❪❥⑥❞❨✈❲❨❡✹Ù➁②❬❙✰➇➈❲③î✰❩❭❙✎➇ï❙✎❩✙á❙✙❪❏❞✙❧❣❲✹❲✘②❬❷➃❲◆➇ï②❬❪❥⑥❞❨✈❲❨❡

❳❬❲❨❩④❲❨❢♠❙✙❢♦❲❏❻✍❻❃❻✒❻✒❻❃❻✒❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❿❦❾

❻♠ø

✉❈❧♦❪★❫❴❲➜ò❍❙✬❵♣❲✟❵❬❙✎❞✙❢❣❲③❩④❲✇⑥❞③✈❲❨❡✐❵❬❙ßt❨❲③❩❱❧⑦♥❲➜t❦❙✙❢✑❞✙❡❦❷❝❳♣❲❨❩×❫④❧♦❢♠❹♣❲❨❵♣❲❍❻❈❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻

❿❦❾

❿ ❻♠ø❦ø❣✁➄❡❨❫❱❧♦❪♣❲❨❯Û❵❬❙✬❷➃❲❨❪❏❧♦❳❬②❬❢♦❲✇⑥❞❨✈❲③❡✾❵❬❙ßt③❲❨❩❱❧☎♥❲③t❦❙✎❢➋❞✙❡❦❷❝❳♣❲❨❩×❫④❧♦❢♠❹♣❲❨❵♣❲❃❵❬❧♦❪❥á❲③❷❼❧♠❞☎❲❏❻s❻❃❻✒❻✒❻ ❿ ø

❿ ❻♠ø ❽ ❤✝❩❭❧♦❷❝❧♠❫④❧➅t③❲❨❯Ý❵❏❙✒❳❬❲❨❯❱❯❱❲❨❸❦❙✙❷Ò❵❏❙✒❷❝❙✙❪❏❯④❲❨❸❦❙✎❷▼❻Õ❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❿ ø

❻♠ø

❤✝❩❭❧♦❷❝❧♠❫④❧➅t③❲❨❯Ý❵❏❙✒❷❼❲❨❪❬❧♠❳❬②❬❢♦❲✇⑥❞❨✈❲❨❡❆❵❬❙❃❯❭❙✙❷◗♥❲③➇ï❡❦❩❭❡❦❯✙❻✘❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻

❿★❽

❿ ❻♠ø✫✾ ❤✝❩❭❧♦❷❝❧♠❫④❧➅t③❲❨❯Ý❵❏❙✒❷❼❲❨❪❬❧♠❳❬②❬❢♦❲✇⑥❞❨✈❲❨❡❆❵❬❙❃❙❺t❦❙✎❪➁❫❱❡❦❯✙❻ ❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❿❦❿

❿ ❻♠ø✒✿ ✉❈❧♦❪★❫❴❲➜ò❍❙✬❵❬❙✬❷❝❡❦❪❬❧♠❫❱❡❦❩✙❻Û❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❿❦❿

❻♠ø✦❁ ➪Û❡❨❷❼❳❬❧♠❢❣❲✇⑥❞③✈❲❨❡✾❵❬❙✬②❬❷þ❳❬❩❱❡❦❸❨❩④❲❨❷❼❲✾❙✙❷ ➪➳❤ ➀ ✁✬❻✦❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻

❿ ❻♠øåù ➌✰❡❍❵❬❙✎❢♦❡✐❵❬❙✬❙❺ò❍❙✎❞✙②①⑥❞③✈❲❨❡➃❳❬❩❭❡❦❳➣❡❦❯❭❫❱❡❝❳➣❡❦❩s✉❏❲➜❫④❡❼➀✉❍❲③❫④❡❬Þ➋ø☎õ❦õ☎✿ ➃ ❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻ ❿ ❁

❿ ❻♠ø⑦ö ➌✰❡❍❵❬❙✎❢♦❡✐❵❬❙✬❙❺ò❍❙✎❞✙②①⑥❞③✈❲❨❡➃❳❬❩❭❡❦❳➣❡❦❯❭❫❱❡❝❳➣❡❦❩➄✟ô❸❦②❏❷➃❲▼➀➂✟ô❸❦②❬❷❼❲❏Þñø⑦õ❦õ❦ù ➃ ❻❃❻✬❻✒❻❃❻✒❻✒❻ ❿ ù

✾❏❻♠ø ➌✰❡❍❵❬❙✎❢♦❡✐❵❬❙✬❙❺ò❍❙✎❞✙②①⑥❞③✈❲❨❡➃❵❬❡❼➪➳❤ ➀ ✁➳è×➪Û❢♦②❏❯❭❫④❙✎❩✙❻✽❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻❦✾

✾❏❻❽ ⑩✠❧♠❯❭❫❱❩❱❧♦⑤❏②❬❧❭⑥❞③✈❲❨❡✾❵❬❙ß❫❴❲③❩❱❙✎➇➈❲✟❪❬❡✐❷❝❡❍❵❏❙✙❢♦❡✟❵❏❙✒❙➦ò❍❙✙❞✙②❥⑥❞❨✈❲❨❡❬❻●❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻❦✾s✾

✾❏❻❿ ❲ ❡❨❫④❧➅ð♣❞☎❲➣⑥❞❨✈❲❨❡✟❵❬❡✐❫❍♥❙✎❩❱❷❝❧♦❪❬❡✟❵❏❙✬❫④❲❨❩❱❙❺➇➈❲✟❪❬❡❼❷❝❡❈❵❬❙✙❢♠❡✾❵❬❙✬❙❺ò❍❙✙❞✎②①⑥❞❨✈❲③❡❬❻✻❻✬❻✒❻❃❻✒❻✒❻❦✾✞✿

✾❏❻❀✾ ❜①ò❍❙✙❷❝❳❬❢♠❡❦❯P❵♣❲●❡❍❞✎❡❦❩❱❩✙á❙✙❪❬❞✎❧❣❲◗❵❬❙❊❳✇❡❦❪★❫❱❡❦❯P❵❬❙❊❯❱❧♦❪❏❞✙❩❱❡❨❪❬❧♦î✙❲✇⑥❞❨✈❲❨❡◗❳♣❲❨❩④❲◗❲③❫④②♣❲③❢♦❧➅è

î✙❲✇⑥❞❨✈❡❨❙✙❯➄❵❬❙ßt③❲❨❩❱❧☎♥❲③t❦❙✎❧♦❯➸❞✙❡❨❷❼❳♣❲③❩❭❫④❧♠❢♦❹♣❲③❵♣❲❨❯✙❻❅❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻❦✾★ö

✾❏❻r✿

❫❱②♣❲❨❢♠❧♦î☎❲➣⑥❞❨✈❲❨❡✟❵❬❙ßt③❲❨❩❭❧⑦♥❲③t❨❙✙❧♦❯➸❞✎❡❦❷❝❳♣❲❨❩❭❫❱❧♦❢♠❹♣❲❨❵♣❲❨❯Ý❪❬❡❝❷❼❡❈❵❬❙✙❢♠❡✾❵❬❙✬❙❺ò❍❙✎❞✙②①⑥❞③✈❲❨❡❬❻✍❻✒❻❧✿❍ø

✾❏❻❳❁ ➀ ❫❱②♣❲❨❢♠❧♦î☎❲➣⑥❞❨✈❲❨❡✟❵❬❙ßt③❲❨❩❭❧⑦♥❲③t❨❙✙❧♦❯➸❞✎❡❦❷❝❳♣❲❨❩❭❫❱❧♦❢♠❹♣❲❨❵♣❲❨❯Ý❙✙❷r❪➸♥❡❦❯➄❷✾②❬❢♠❫❱❧♦❳❬❩❭❡❍❞✎❙✙❯❭❯④❲❨❵❬❡❨❩❱❙✙❯✎❻ ✿

✾❏❻ù ❜✝❯❭Ù❈②❏❙✙❢♦❙❺❫④❡❝❵❬❡❼❲❨❢♦❸❦❡❨❩❱❧♠❫❱❷❼❡❃❵❬❙✬❙✙❯❭❞☎❲❨❢♠❡❦❪♣❲❨❷❝❙✙❪★❫④❡❏❻ ❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻❧✿s✿

✿❈❻♠ø

❯➄❙✎❫❴❲③❳♣❲❨❯➄❵❬❙✬❧♦❷❝❳❬❢♦❙✎❷❼❙✎❪★❫❴❲✇⑥❞③✈❲❨❡✾❵❬❡❝❯❱❧♠❯❭❫④❙✎❷➃❲❍❻❂❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻q❁ ❾

✿❈❻

➆❡➅ ②❍ò❍❡❝❵❬❙✬②❬❷r❳❬❩❭❡❦❸❦❩④❲③❷➃❲✾❙✎❷ ➪➳❤ ➀ ✁✒❻ç❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻q❁❏ø

✿❈❻❿ ❜①ò❍❙✙❷❝❳❬❢♠❡❝❵❏❙❃❲③❩❱Ù➁②❬❧♠t❨❡✐❵❬❙✬❙✙❯❱❳➣❙✙❞✎❧♠ð♣❞✙❲✇⑥❞❨✈❲③❡➃❵♣❲✟❩❱❙✎❵❬❙❨❻ç❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻q❁ ❽

✿❈❻❀✾ ❜①ò❍❙✙❷❝❳❬❢♠❡❝❵❏❙❃❲③❩❱Ù➁②❬❧♠t❨❡✐❵❬❙✬❳❬❩❈♥❙➦èô❙✙❯❭❞☎❲❨❢♠❡❦❪♣❲❨❷❝❙✙❪★❫❱❡❬❻☞❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻q❁

✿❈❻r✿ ➀ ❸❨❙✙❩④❲➣⑥❞❨✈❲❨❡❝❵❬❡✐❞➋♥❡❦❵❏❧♦❸❦❡✐❙❺ò❍❙✎❞✙②❏❫♣♥❲③t❦❙✎❢❥❳♣❲③❩④❲✟❡✐❯❱❧♦❯×❫④❙✎❷➃❲✟❵❬❧♠❯❭❫④❩❭❧♦⑤❬②ñ♥

(11)

✿❈❻ù ❜✝❯×❫④❩❱②❍❫④②❬❩❱❲❝❵♣❲✾❫④❲❨⑤✇❙✎❢❣❲✟❵❬❙ß❫❴❲③❩❱❙✎➇➈❲③❯✙❻❬❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻q❁★ù

✿❈❻➙ö

❙➦ò❍❙✙❞✙②❥⑥❞❨✈❲❨❡✖❵❏❙✒②❏❷þ➇ï❡❦❩④❲③❢♦❢➨❻✟❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➐ù ❾

✿❈❻➙õ

❙➦ò❍❳♣❲❨❪❬❯✎✈❲❨❡➃❵❬❙✬②❬❷ ➇ï❡❦❩④❲❨❢♠❢➨❻➳❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➐ù ❾

✿❈❻♠ø

➀ ❡❦❩❱❵❏❙✙❪♣❲✇⑥❞③✈❲❨❡✠❵❬❡❨❯í❙✎t❨❙✙❪★❫④❡❦❯➉Ù➁②❬❙➳❞✎❡❦❷❝❳ñ✈❡❦❙✙❷❑❲✗❯❭❧♦❪❬❞✎❩❱❡❦❪❏❧♦î☎❲➣⑥❞❨✈❲❨❡✠❧♠❷❼❳➣❡❦❯×❫❴❲➄❳✇❙✎❢❣❲

⑤❬❲❨❩❱❩❭❙✙❧♦❩❱❲❏❻☞❻❃❻✒❻✒❻❃❻✒❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➐ù❍ø

✿❈❻♠ø❦ø ➀ ❯❭❧♦❪★❫❴❲åò❏❙✬❵❬❡❝❢❣❲➣⑥❞✙❡✟❳♣❲❨❩❱❲❨❢♦❙✎❢♦❡✟❞✎❡❦❷r❙✙❯❭❞☎❲❨❢♠❡❦❪♣❲❨❷❝❙✙❪★❫❱❡❝❵❏❧♦❪❥á❲❨❷❝❧♦❞✎❡✾❙✙❷❮➪➳❤ ➀ ✁✬❻ ù

✿❈❻♠ø

➀ ❙➦ò❍❳♣❲❨❪❬❯✎✈❲❨❡➃❵❬❡✐❢♦❲✇⑥❞✙❡✐❳♣❲❨❩❱❲❨❢♦❙✎❢♦❡✾❞✎❡❦❷r❙✎❯❱❞☎❲③❢♦❡❦❪♣❲③❷❼❙✎❪➁❫❱❡❼❵❏❧♦❪❥á❲❨❷❝❧♦❞✎❡❬❻æ❻✒❻❃❻✒❻✒❻➐ù♠✾

✿❈❻♠ø ❿

❡❦❩❱❵❏❙✙❪♣❲✇⑥❞③✈❲❨❡✍❵❬❡❦❯✗❙✎t❦❙✎❪★❫④❡❦❯ßÙ➁②❬❙✟❞✎❡❦❷❼❳✑✈❡❦❙✙❷ ❡✍❞✙❡❨❪➁❫❱❩❱❡❦❢♠❙❆❵❬❙❆⑤❬❢♦❡❈❞✙❡❦❯s❪❬❡✍❙✎❯×è

❞✙❲❨❢♦❡❨❪♣❲❨❷❝❙✙❪★❫④❡✟❵❬❧♠❪❥á❲❨❷❝❧♦❞✎❡❬❻✍❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➐ù♠✾

✿❈❻♠ø✫✾ ❜①ò❍❙✙❷❝❳❬❢♠❡▼❵❬❙❝❵❬❙❺ð♣❪❬❧❭⑥❞③✈❲❨❡✰❵❬❙❝❫❱❧♦❳➣❡❦❯✬❙❼❵❏❙✙❞✙❢♦❲❨❩④❲➣⑥❞❨✈❲❨❡✰❵❬❙✐t❨❲③❩❱❧⑦♥❲➜t❦❙✙❧♠❯ß❞✙❡❦❷❝❳♣❲❨❩×❫④❧è

❢♠❹♣❲❨❵♣❲③❯➸❙✙❷r②❬❷þ❳❬❩❱❡❦❸❨❩④❲❨❷❼❲✐➪➳❤

✁✒❻❝❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➐ù❨õ

✿❈❻♠ø✒✿✫❜✝❯×❫④❩❱②❍❫④②❬❩❱❲❝❵♣❲✟❘❥❲❨⑤➣❙✙❢❣❲✟❵❬❙✉❜à❲❨❩❭❧⑦♥❲③t❨❙✙❧♠❯s➪Û❡❦❷❼❳❬❲❨❩❭❫❱❧♦❢♦❹❬❲❨❵♣❲❨❯✎❻①❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➐ù❨õ

✿❈❻♠ø✦❁ ❜①ò❍❙✙❷❝❳❬❢♠❡❼❵♣❲③❯ó❧♠❪❏➇ï❡❦❩❱❷❼❲✇⑥❞③✈❡❦❙✙❯➄❙✙❪★t❈❧❣❲③❵♣❲❨❯s❙✙❷Ò②❬❷❼❲❼❲➜❫④②♣❲❨❢♠❧♦î✙❲✇⑥❞❨✈❲❨❡✐❵❬❙✬t③❲❨❩❱❧☎♥❲③t❦❙✎❢

❞✎❡❦❷❝❳♣❲❨❩❭❫❱❧♦❢♠❹♣❲❨❵♣❲❏❻ ❻✒❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱ö ❿

✿❈❻♠øåù➆✁➄❙✙❸❨❧➨✈❡❦❙✎❯✍❵♣❲●❷❝❙✙❷◗♥❡❦❩❱❧♦❲❊Ù➁②❬❙Ø❲❨❩❱❷❼❲❨î✙❙✎❪♣❲❨❷ ❲❅❲③❫❱②♣❲❨❢♦❧♠î☎❲✇⑥❞③✈❲❨❡❬Þs❷➃❲③❪❬❧♦❳❬②❏❢❣❲❨❵♣❲③❯

❳➣❙✙❢♠❡✟❳❬❩❱❡❈❞✙❙✎❯❱❯❭❡✖❜✝❷❼❧♠❯❱❯❭❡❦❩➸❙ß❫④❹❬❩❭❙☎❲❨❵▼❜①ò❏❙✎❞✙②❏❫❱❡❦❩✙❻s❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱ö✴✾

✿❈❻♠ø⑦ö➇✁➄❙✙❞✎❙✙⑤❬❧♠❷❼❙✎❪★❫④❡✾❵❬❙✗❷❼❙✎❪❬❯④❲❨❸❨❙✙❷⑨❵❬❙ß❲③❫❱②♣❲❨❢♦❧♠î☎❲✇⑥❞③✈❲❨❡✒❳✇❙✎❢♦❡✾❳❬❩❭❡❍❞✎❙✙❯❭❯❱❡❝➪Û❡❦❷✾②❏❪❬❧♦❞✙❲➜è

❵❏❡❦❩✾❙✍❙✙❯❭❞✙❩❭❧♠❫❴❲✳❙✎❷ ❲❨❩❭❙☎❲✳❞✙❡❦❷❝❳♣❲❨❩×❫④❧♠❢♦❹♣❲❨❵❬❲▼❞✙❡❨❷✶❫④❹❏❩❱❙☎❲③❵●❜①ò❍❙✙❞✎②❏❫④❡❨❩❝❵❏❙✰②❏❷♥

❪➸♥❡❬❻◆❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱ö✴✾

✿❈❻♠ø⑦õ ❤❚❡❦❪★❫④❡❦❯✬❵❬❙✐❳❬❩❭❡❦❳♣❲❨❸❦❲✇⑥❞❨✈❲❨❡☞❵❬❙❝❲③❫❱②♣❲❨❢♠❧♦î☎❲➣⑥❞❨✈❲❨❡✖❵❏❙✐t③❲❨❩❭❧⑦♥❲③t❨❙✙❢í❵❏❙✙❪★❫④❩❭❡▼❵♣❲✖➇ï②❬❪❥⑥❞❨✈❲❨❡

❳❏❩❱❧♦❪❏❞✙❧♦❳❬❲❨❢✑❵❬❡❝❳❬❩❭❡❦❸❦❩④❲③❷➃❲✾❵❬❡✐②❬❯❭②➄♥❲❨❩❭❧♦❡❬❻✠❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱ö★ù

✿❈❻

❽❨❾

➌▼❲❨❪❬❧♦❳❏②❬❢❣❲✇⑥❞③✈❡❦❙✙❯❥❵❬❙Ýt③❲❨❩❭❧⑦♥❲③t❨❙✙❧♠❯①❞✙❡❨❷❼❳♣❲③❩❭❫④❧♠❢♦❹♣❲③❵♣❲❨❯ç❵❬❙✙❪★❫❱❩❱❡ß❵❬❙➳②❏❷➃❲s❷➃❲❨❞✎❩❱❡❨❫④❲❨❩❱❙❺➇➈❲❏❻ßö❦ö

✿❈❻❽ øã❤❚❡❦❪★❫④❡❦❯✰❵❬❙✹❳❬❩❱❡❨❳♣❲❨❸★❲✇⑥❞③✈❲❨❡❅❵❬❙❊❲➜❫④②♣❲❨❢♠❧♦î✙❲✇⑥❞❨✈❲❨❡✣❵❏❙✹t③❲❨❩❭❧⑦♥❲③t❨❙✙❢✬❵❬❙✙❪★❫❱❩❱❡◗❵❏❙Ø②❬❷❼❲

❷❼❲❨❞✎❩❱❡❨❫④❲❨❩❱❙❺➇➈❲❏❻➳❻✒❻❃❻✒❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱õ ❾

✿❈❻

❽❦❽

✉❈❧♦❪★❫❴❲➜ò❍❙➄➪➳❤ ➀ ✁◗❳❬❲❨❩④❲✗❵❏❙✙❞✙❢♦❲❨❩④❲➣⑥❞❨✈❲❨❡ß❵❬❙Ýt❨❲③❩❱❧⑦♥❲➜t❦❙✙❧♠❯①❞✎❡❦❷❼❳❬❲❨❩❭❫❱❧♦❢♦❹❬❲❨❵♣❲❨❯❚❯❱❙✎❸❦②❬❪❬❵❬❡

❲✟❙✎❯❭❫④❩❱❲③❫❍♥❙✎❸❦❧❣❲✟❵❬❙✬❵❬❧♠❯❭❫❱❩❱❧♦⑤❏②❬❧❭⑥❞③✈❲❨❡❬❻⑨❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱õ❏ø

❁❍❻♠ø ➆ ❲❨❷✾⑤❬❧♠❙✙❪★❫④❙ß②❍❫④❧♦❢♠❧♦î✙❲❨❵❬❡✾❪♣❲✐❩❱❙✙❲❨❢♦❧♠î☎❲✇⑥❞③✈❲❨❡✟❵❬❡❦❯➸❫❱❙✙❯❭❫❱❙✙❯✎❻r❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱õ★ù

❁❍❻

❤✝❩❭❡❦❸❦❩④❲③❷➃❲✬➪➳❤ ➀ ✁✫Ù➁②❬❙➄❞☎❲❨❢♠❞✙②❬❢♦❲ß❲ß❷✾②❬❢♠❫❱❧♦❳❬❢♠❧♦❞✙❲✇⑥❞❨✈❲❨❡ó❵❬❙➄❷➃❲➜❫④❩❱❧♠î✙❙✎❯íÙ➁②♣❲❨❵❬❩❱❲❨❵♣❲❨❯

❞✎❡❦❷Ï❲▼②❍❫④❧♦❢♠❧♦î✙❲✇⑥❞❨✈❲❨❡☞❵❬❙✐t③❲❨❩❱❧☎♥❲③t❦❙✎❧♦❯✒❞✙❡❦❷❝❳♣❲❨❩×❫④❧♠❢♦❹♣❲❨❵❬❲❨❯ß❸❦❢♦❡❨⑤♣❲❨❧♦❯ß❙❝❞✙❡❨❷ ❵❏❧♦❯❭❫❱❩❱❧è

⑤❏②❬❧❭⑥❞③✈❲❨❡✟❫④❡❨❫④❲❨❢➨❻➉❻✒❻❃❻✒❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻➱õ❦ö

❁❍❻

❤✝❩❭❡❦❸❦❩④❲③❷➃❲✬➪➳❤ ➀ ✁✫Ù➁②❬❙➄❞☎❲❨❢♠❞✙②❬❢♦❲ß❲ß❷✾②❬❢♠❫❱❧♦❳❬❢♠❧♦❞✙❲✇⑥❞❨✈❲❨❡ó❵❬❙➄❷➃❲➜❫④❩❱❧♠î✙❙✎❯íÙ➁②♣❲❨❵❬❩❱❲❨❵♣❲❨❯

❞✎❡❦❷Ï❲▼②❍❫④❧♦❢♠❧♦î✙❲✇⑥❞❨✈❲❨❡☞❵❬❙✐t③❲❨❩❱❧☎♥❲③t❦❙✎❧♦❯✒❸❦❢♦❡❨⑤♣❲❨❧♦❯ß❞✎❡❦❷❝❳♣❲❨❩❭❫❱❧♦❢♠❹♣❲❨❵♣❲❨❯ß❙❝❞✙❡❨❷ ❵❏❧♦❯❭❫❱❩❱❧è

⑤❏②❬❧❭⑥❞③✈❲❨❡✟❫④❡❨❫④❲❨❢➨❻✝ëP♥❲✟❙❺ò❍❳❬❢♦❡❨❩④❲✇⑥❞③✈❲❨❡✐❵♣❲❝❢♠❡❍❞✙❲❨❢♦❧♠❵♣❲❨❵❬❙③❻ ❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø

❾❦❾

❁❍❻❀✾ ❤✝❩❭❡❦❸❦❩④❲③❷➃❲✬➪➳❤ ➀ ✁✫Ù➁②❬❙➄❞☎❲❨❢♠❞✙②❬❢♦❲ß❲ß❷✾②❬❢♠❫❱❧♦❳❬❢♠❧♦❞✙❲✇⑥❞❨✈❲❨❡ó❵❬❙➄❷➃❲➜❫④❩❱❧♠î✙❙✎❯íÙ➁②♣❲❨❵❬❩❱❲❨❵♣❲❨❯

❞✎❡❦❷Ï❲▼②❍❫④❧♦❢♠❧♦î✙❲✇⑥❞❨✈❲❨❡☞❵❬❙✐t③❲❨❩❱❧☎♥❲③t❦❙✎❧♦❯✒❸❦❢♦❡❨⑤♣❲❨❧♦❯ß❞✎❡❦❷❝❳♣❲❨❩❭❫❱❧♦❢♠❹♣❲❨❵♣❲❨❯ß❙❝❞✙❡❨❷ ❵❏❧♦❯❭❫❱❩❱❧è

⑤❏②❬❧❭⑥❞③✈❲❨❡✐❞✙❙✙❪★❫❱❩④❲❨❢➽❻➉ë◆♥❲✟❙❺ò❍❳❬❢♠❡❦❩④❲✇⑥❞③✈❲❨❡✐❵♣❲✐❢♦❡❈❞☎❲❨❢♠❧♦❵♣❲❨❵❏❙❨❻◆❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø ❾ ø

❁❍❻r✿ ❤✝❩❭❡❦❸❦❩④❲③❷➃❲✬➪➳❤ ➀ ✁✫Ù➁②❬❙➄❞☎❲❨❢♠❞✙②❬❢♦❲ß❲ß❷✾②❬❢♠❫❱❧♦❳❬❢♠❧♦❞✙❲✇⑥❞❨✈❲❨❡ó❵❬❙➄❷➃❲➜❫④❩❱❧♠î✙❙✎❯íÙ➁②♣❲❨❵❬❩❱❲❨❵♣❲❨❯

❞✎❡❦❷Õ❲✳②❏❫❱❧♦❢♦❧♠î☎❲✇⑥❞③✈❲❨❡◆❵❬❙✍t③❲❨❩❭❧⑦♥❲③t❨❙✙❧♦❯✟❸❨❢♦❡❦⑤♣❲③❧♦❯✾❳❬❩❭❧♠t③❲❨❵♣❲③❯✙❻❅ë◆♥❲✳❙❺ò❍❳❬❢♠❡❦❩④❲➣⑥❞❨✈❲❨❡✘❵♣❲

❢♠❡❍❞✙❲❨❢♦❧♠❵♣❲❨❵❬❙③❻ó❻✒❻✒❻❃❻✒❻✬❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻✒❻✒❻✒❻❃❻✒❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø ❾❦❿

❁❍❻❳❁ ❘❚❙✙❷❝❳➣❡✾❵❬❙ß❙❺ò❍❙✎❞✙②①⑥❞③✈❲❨❡✐❷ã♥❙✎❵❬❧♦❡✾❵❬❲❨❯➳t❦❙✎❩❱❯✙✈❡❨❙✙❯➄❵❬❙✠❷✾②❏❢♠❫④❧♠❳❬❢♦❧♠❞☎❲✇⑥❞③✈❲❨❡✒❵❬❙✠❷❼❲③❫④❩❭❧♦î✙❙✎❯

❵❏❙✒❡❨❩❱❵❬❙✎❷ ❽❨❾❦❾❦❾ ❯❭❡❦⑤❬❩❭❙❃❵❬❧➅➇ï❙✙❩❭❙✙❪★❫④❙✎❯s❞✎❡❦❪❏ð♣❸❨②❬❩④❲✇⑥❞③✈❡❦❙✙❯✎❻Õ❻❃❻✒❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø ❾ ✿

❁❍❻ù ✉❈❳✇❙✎❙✙❵❬②❬❳☞❡❦⑤❍❫④❧♦❵❏❡✟❪♣❲✾❙❺ò❍❙✙❞✎②①⑥❞❨✈❲③❡❼❵♣❲③❯➳t❦❙✙❩❭❯✙✈❡❦❙✎❯➄❵❬❙ß❷✾②❬❢➅❫④❧♦❳❏❢♦❧♦❞✙❲✇⑥❞❨✈❲③❡❃❵❬❙ß❷❼❲③❫❱❩❱❧➅è

î✎❙✙❯➄❵❬❙✬❡❦❩❭❵❬❙✙❷

❽❨❾❨❾❦❾

❯❱❡❦⑤❏❩❱❙✬❵❬❧♠➇ï❙✎❩❱❙✎❪➁❫❱❙✙❯s❞✙❡❦❪❍ð♣❸❦②❬❩❱❲✇⑥❞❨✈❡❦❙✎❯✙❻Ï❻✒❻❃❻✒❻❃❻✬❻✒❻❃❻✒❻✒❻✾ø

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