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Estudos de formas de equilíbrio em componentes de sistemas estelares binários

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(1)

✧✩★

✠☛✓✖✬✭✠☛✮✙✌✪✮✯✄✰✌✱✁✘✞✡✌✳✲✜✢✤✁✴✄✰✌✱✓✳✕✗✁✵✂✁✴✄✶✌✪✣✷✕✸✑✝✌✱✁✵✹✵✢✩✮✵✥✕✸✑✔✢✩✠☛✁

✺✚✻✽✼✸✾❀✿☞❁✵❂✼❄❃❆❅❇✿✘❁✏✿❉❈❋❊✻●✿✘❍■✻●❏✸❅❇❏❄❏✸❅

(2)

✺❘◗❚❙❱❯ ❑ ❁ ❙❳❲❨❍ ❑ ❁ ❑✂❩ ◗ ❑ ❍❬◗❳❭❪❍■❭❫❭❪❍

❴✚❵❜❛✗❝❳❞✂❡❢❵❣❞✂❤❥✐❳❡❢❦✒❧♥♠✭❵♦❞✂❤❥❴✚♣❪❝✂qsr✶t

✉✇✈

❦✒q✇❡①❤✟❧

② ❡❨❧♥③④❡⑥⑤❳❤✙⑤⑦❛❄❤✡❵⑧❞✂❤⑩⑨❱q✇❵❜❛✸❤✙❧❶♠✭❵⑧❴✚❵❜❛✸❤✙r■♠✭❦✗❤✡❵❸❷♦q✇⑤♦t♠✭❦✒q■❡⑥❵

❹❳❅❇❺❀❺s❻❆✾✇▲❼✻✯❽❃✽❊✻●✿❾❺❀✼✸❈❄❿☞❻☎▲✦❅❇➀✸✻➂➁✻➃❙❫❭❪❍➅➄✂➆➇❯❱➈✱❍■❹❪◗❫❹✂➆➊➉➋➆➇❹✂➆➇❯❪◗❫❁➌❹✂➆

✺❘❍■❭❱◗❳➈✳➍➎➆➇❯❪◗❱❍✇➈➏❃✴✿❉❿☞✿➐✾s❻❆➑❜✼✸❅➒❺❀❅➒▲❀✿➔➓✗✻●✾❀❃✴❅→✻●➣↔➓✗✻●✾✦✻➔✻➐✿❉❈❄▲❀❻❆❏↔❽❃✽❊✻●✿↕➀✸✿

✾✦✻●✼➔➀✸❻➛✺✚➆❢➈✱➜❚❯❪➆❸➆❢✺➝➉

❍✇➈✱❍✇❲❨◗④➞

➠✙➡✤➢❀➤⑦➥✶➢⑥➦✯➧☎➨✔➩✇➢✇➨❆➫✤➡➅➤➯➭➩☎➲➤➳➧✽➵✱➠✟➸✝➺✏➻✏➼↔➽

➾ ➸ ➾ ➦❋➠

➼✟➡➪➚➶➢✇➨❆➫➪➤✴➥✶➧☎➡❀➵❄➹☛➡✤➧☎➘✷➴✝➷✙➡❀➴✝➬❜➮✔➚✃➱➇➹✗➤☎➮✝❐✃➧⑦➻✏➚➶❒✽➢s➚✃➡➪➧⑦❮✒➤➳➱❚❰➒Ï✙➽✸ÐÒÑ✭Ó

❹❳❻❆➓✸✻●✾s▲✦✻●❿☞❻✴❏➯▲✦✿✘➀✸❻Ò➉⑦❂

Ô

❺s❅❇❃❆✻➛Õ❢❍✇❲⑦➆➋Ö➐Õ⑥❙❱➉✭✺×➍

(3)

è

◗❫✿❳❲⑦❭❫é❢êÞë●➓☛❻❆➣➒✿❳✻●➓☛✿❉❅❇✿❚ì✗❏✗✻✽❏✸❃❆❻✴❅❇✾❀✿❱❺❀❻✴❿í✿❱➑✪✼✸✻●➣✱▲❀✿❉✾❀❏✗✻✽✾❀❅→✻❚❅❇❏➯î✪❅✶❂✻✔î❉❻❆➣✪✻❫✾s❻✰✻●➣➒❅❇ï❆✻✯❽❃●❊✻●✿❪➀✸✿❱➓✸✾❀✿✔ðs❻☎▲✦✿✸➞

è

◗❫✿Ò➓✸✾s✿●ñ✷❻❆❺s❺❀✿❉✾⑥❁✏✼✸❅❇ï❪é↔✻✽✼✸➣❇✿Ò❯❚❅❇❈☛❻❆❅❇✾s✿✂➄❢✻●ï●ë❜❿Û❻❆✼Û✿❉✾❀❅➒❻❆❏➯▲❼✻●➀❄✿❉✾❆ë➯➓☛❻❆➣❇✻●❺✭î●✻✽➣❇❅❇✿●❺✦✻●❺✭✿❉✾s❅❇❻✴❏❜▲✦✻✯❽❃●❊✿●❻❆❺❢➑✪✼❄❻

❿Û❻❳ì✗ï❆❻✴✾✦✻●❿➊▲❀✾❀❅❇➣➒ò✗✻●✾⑥❻❆❿➊❃❆✻●❿☞❅➒❏✸ò✸✿❉❺ó➓❄✾❀✿✪➀✸✼❄▲✦❅ôî❉✿❉❺✴➞

è

◗❫✿↕❿Û❻❆✼✖❃✴✿❉❿Û➓✗✻●❏✸ò✸❻✴❅❇✾s✿✚❯❚✿❉❈✸❺s✿❉❏✳➑❜✼✸❻☞➀✸❻❆❺s➀✸❻å✻

✾✦✻✽➀✸✼✗✻✯❽❃✽❊✻●✿↕▲❀❻❆❿õ❃✴✿❉❏➯▲✦✾❀❅➒❈✸✼✸❅➒➀✸✿❘➀❄❻☞❿☞✻●❏✸❻✴❅❇✾✦✻

❺❀❅

(4)

ýÿþ

✮✯✄✰✑✔✠✜✞✟✆✄✂

☎✝✆ ✕✸✠

❑ ❈❜ðs❻✴▲✦❅ôî❉✿✘➀✸✿Û➓✸✾❀❻✴❺❀❻✴❏❜▲❀❻➛▲❀✾✦✻●❈✗✻✽➣❇ò✸✿ ➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✟

✠ ✡

✠✗✄✶✕☛✂

☎✝✆

✕✸✠❾✁❆✢✤✓✖✬✟✣✷✌✱✁ ☞

▼✱➞✞ ✺✚✻●✾✪❂❻✴❺ ➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞Ò➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✌

✍ ✡

✠✗✄✶✕☛✂

☎✝✆ ✕✸✠♦✲✜✢✩✮

✑✝✠☛✮✟✢✏✎➯✕✗✞✡✕

✑✍

P❄➞✞ ❲❨✿❉❏✸❺❀❅➒➀✸❻❆✾❀✻✯❽❃●❊✿●❻❆❺❚❅❇❏✸❅➒❃❆❅❇✻●❅❇❺Þ➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✞ P

P❄➞✞ ➞✞ ❲❨❻✴❏❜▲❀✾❀✿Û➀✸❻➛✺✚✻●❺s❺✦✻☞➀❄❻➛❹❳✿●❅❇❺❚❲❨✿❉✾s➓✯✿●❺❪❻✴❿ ❯❚✿●▲❼✻✯❽❃✽❊✻●✿ ➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✞ P

P❄➞

➞▼ ➄➇❻✴➣❇✿✪❃❆❅❇➀✸✻●➀✸❻❳◗❱❏

✼✸➣❇✻●✾ ❑ ✾❀❈✸❅ô▲❼✻●➣✯➀✸✿❉❺❱❲❨✿❉✾❀➓☛✿❉❺✴ë✓✒ ➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞

P❄➞✞ ➞➶P ❑ é✟✿●▲❀❻❆❏✸❃✴❅→✻●➣✙➍✂✾✦✻✰î✪❅➒▲✦✻●❃❆❅➒✿❉❏✗✻●➣í➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✞ ✟

P❄➞✞ ➞✔✟

é✟✿●▲❀❻❆❏✸❃✴❅→✻●➣✡❹❳❻☎î✱❅➒➀✸✿Û✻✘❯❪✿●▲✦✻✯❽❃●❊✻✽✿⑧➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✞ ✟

P❄➞▼ ◗❥➆➇➑❜✼✗✻☛❽❃●❊✻●✿☞➀✸✿Ûé✟✿●▲❀❻❆❏✸❃✴❅→✻●➣ ➞➛➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞

✞✖✕

P❄➞➶P ❑ ➓✸✾s✿

✾✦✻✽❿◆✻✘✗✝✙✛✚✢✜✤✣✛✙✦✥ ➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✞★✧

P❄➞➶P✱➞✞ ◗ÿ➉✗✼✸❏↔❽❃✽❊✻●✿✪✩✬✫✮✭✰✯✮✱✝✫✑✫✲✚✬✳ÿ➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✞★✧

P❄➞➶P✱➞▼ ❲❨✿❉❿Û❻❆❏➯▲✗❂✻●✾❀❅➒✿❉❺✘➞Ò➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ▼✽P

P❄➞✔✟ ◗ÿ➈✱✿❉➣❇✼✟❽❃●❊✻●✿✘◗❫❏✸✻●➣➅❂

Ô

▲✦❅❇❃❆✻ ➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ▼✽P

P❄➞✔✟❄➞

➆✭❺s▲❀✼✸➀✸✿Û➀✗✻✘❻❆➑❜✼✗✻✯❽❃✽❊✻●✿☞❃✟❂✼✸❈✸❅❇❃❆✻ ➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ▼

P❄➞✔✟❄➞▼ ❑ ◗❫➣

✿❉✾❀❅ô▲✦❿Û✿Þ➀✸✿Ûé✭✾❀✿

✾❀✻●❿☞✻➊➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ▼✛✴

P❄➞✕ ❑ ❺❱✺ ❻☎▲✦✿✪➀✸✿❉❺❚➀✸❻Ò❭❱❻✶✵ó▲✦✿❉❏↕❻➎➀✸❻Ò❁✡✻❂

✼✸❻✴✾❀✾❀❻❘➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ P ✞

P❄➞✕ ➞✞ ✺ ❻☎▲✦✿✪➀✸✿Û➀✸❻Ò❭❱❻✷✵ó▲❀✿❉❏❂ ➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ P ✕

P❄➞

➞▼ ✺ ❻☎▲✦✿✪➀✸✿Û➀✸❻Ò❁✙✻❂

✼✸❻❆✾s✾❀❻ ➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ P✛✸

P❄➞✕ ➞➶P ◗❱➓✸➣❇❅➒❃✰✻✯❽❃✽❊✻●✿✵➀✸✿✘❿ ❻☎▲✦✿✪➀✸✿✘➀✸❻Ò❁✡✻❂

✼✸❻✴✾❀✾❀❻➎❏✗✻✵❻✴➑✪✼✸✻✯❽❃●❊✻●✿☞➀✸✿✘➓✯✿✽▲✦❻❆❏❄❃❆❅→✻✽➣➂➞➛➞Ò➞Ò➞➛➞✹✟ ✞

P❄➞✺✸ ❹❳❅❇❺❀❃✴✼✸❺❀❺✴❊✻●✿

❻❆✾❀✻●➣✏❺❀✿●❈✸✾❀❻➎✾❀✿✽▲❼✻✯❽❃✽❊✻●✿✘❺❀❅❇❏❄❃❆✾❀✿●❏✸❅❇ï❆✻●➀✗✻✓✻❪➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞✹✟✛✟

✼ ✡ ✠✗✄✶✕☛✂

☎✝✆ ✕✸✠✾✽

✕✸✠➃✲✜✢✩✮

✑✝✠☛✮✟✢✏✎➯✕✗✞✡✕❀✿ ✼ ☞

✟✸➞

➈✱✼✸➓☛❻❆✾sñ■❂

Ô

❃❆❅➒❻❆❺ó❻➎❃❆✼✸✾✇î✽✻●❺❚❻❆➑❜✼✸❅❇➓☛✿●▲❀❻❆❏✸❃✴❅→✻●❅➒❺✂➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞✹✟

✟✸➞✞ ➞✞ ❲❨✾s❻❆❺❀❃✴❅❇❿Û❻❆❏➯▲✦✿Û➀✗✻●❺❚❺s✼✸➓✯❻✴✾sñ✇❂

Ô

❃❆❅❇❻✴❺ó❻❆➑❜✼✸❅➒➓✯✿●▲❀❻❆❏✸❃✴❅→✻●❅➒❺❁✻✂➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞✹✟✦✌

✠✗✄✶✕☛✂

☎✝✆ ✕✸✠✾✽

✕✸✠➃✲✜✢✩✮

✑✝✠☛✮✟✢✏✎➯✕✗✞✡✕➏✌❃❂➔✢❅❄➅✌❜✑✝✌✪✮

✢✷✕✗✣ ☞✬❆

✠☛✮

✣✤✆✙✁

✕✸✠✖✌×✞✙✢✤✁

✆✙✁✰✁

✕❄✠❈❇✒✌✪✑✝✕✗✣❨✞✙✠☛✁✘✑✔✌✪✁✰✆✙✣✄✶✕✗✞✡✠✯✁ ❆ ✼

✸❄➞

◗ ❻❆❺❀❃✴✿❉➣❇ò✸✻Û➀✸✿✘❿ ❻✴▲❀✿✱➀✸✿õ➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞❉✸✰✟❂

✡ ✌✮❄➅✌❜✑✝❊✌✱✮

(5)

þ ýP❖

▼✱➞✞ ➉✒✿●✾✽❽❃✰✻✽❺ó❻❆➑❜✼✗✻✽▲❀✿❉✾❀❅❇✻●❅❇❺✘➞Ò➞Ò➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✕

▼✱➞▼ ❍❬❏❜▲❀❻❆✾s❺❀❻✱❽❃✽❊✻●✿å➀✸❻➛❺❀✼✸➓☛❻❆✾✇ñ✇❂

Ô

❃✴❅❇❻❆❺❪❻❆➑❜✼✸❅➒➓✯✿✽▲✦❻❆❏❄❃❆❅→✻✽❅❇❺ó❃❆✿●❿ ✿●❺❱➓✸➣❇✻●❏✸✿❉❺❘◗❚❙❄ë✤❯✓❙✘❻✘◗✬❯☛ë❚❱❳❲❨✟✸ë

❻Ò➀❄❅➒ñ✷❻❆✾s❻❆❏➯▲✦❻✴❺ó▲❼✻✔Ö❄✻●❺❚➀✸❻➎✾❀✿✽▲❼✻✯❽❃✽❊✻●✿ ➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✴

▼✱➞➶P ❍❬❏❜▲❀❻❆✾s❺❀❻✱❽❃✽❊✻●✿ ➀✸❻➐❺❀✼✸➓☛❻❆✾✇ñ✇❂

Ô

❃✴❅❇❻❆❺④❻❆➑❜✼✸❅❇➓☛✿●▲❀❻❆❏✸❃✴❅→✻●❅➒❺Þ❃❆✿❉❿➝✿❉❺✵➓✸➣❇✻●❏✸✿❉❺✘◗❚❙❄ë❩❯❑❙×❻❬◗✬❯☛ë✭➓✗✻●✾✦✻

➀✸❅➒ñ✷❻✴✾❀❻❆❏➯▲❀❻❆❺ó▲❼✻✔Ö❄✻●❺❚➀✸❻➎✾s✿●▲❼✻✯❽❃✽❊✻●✿✝✻➋î●✿❉➣❇✼✸❿Û❻✂❃❆✿●❏✸❺s▲✦✻●❏➯▲✦❻ ➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✧

▼✱➞✔✟ ➆➇❺s➑❜✼✸❻❆❿☞✻Û➀❄❻Ò✼❄❿➊❺❀❅➒❺s▲✦❻✴❿◆✻✵❈✸❅➒❏❚❂✻●✾s❅❇✿ ➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✌

▼✱➞✕ ✺✚✻●✾✪❂❻➎❺s❻❆❿ ñ✷✿❉✾✔❽❃✰✻✘❃❆❻✴❏❜▲❀✾✰❂

Ô

➓✯❻☎▲❼✻ ➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✞✛✞

▼✱➞✺✸ ➆✭ñ✷❻✴❅➒▲❀✿Û➀✸✻✘❅➒❏✸❃❆➣➒✼✸❺❆❊✻✽✿Û➀❄✿✘▲❀❻❆✾s❿☞✿✘➀✸❻✂ñ✷✿❉✾✔❽❃✰✻✵❃❆❻✴❏❜▲❀✾✰❂

Ô

➓✯❻☎▲❼✻Þ➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✞✛✞

▼✱➞❭✴ ❍❬❏✓❪✗✼✜ö❻✴❏✸❃❆❅❇✻Û➀✗✻✵❃✴✿❉❿☞➓✸✻●❏✸ò✸❻✴❅❇✾✦✻✵❏✗✻Þñ✷✿❉✾s❿◆✻Þ➀❄❻Ò✼❄❿◆✻✵❻❆❺✇▲✦✾s❻❆➣→✻ ➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞

P❄➞✞ ➆➇❺s➑❜✼✸❻❆❿☞✻Û➀❄❻Ò✼❄❿➊❺❀❅➒❺s▲✦❻✴❿◆✻✵❈✸❅➒❏❚❂✻●✾s❅❇✿ ➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✞✖✕

P❄➞▼ ➆➋Ö✱❻✴❿☞➓✸➣➒✿✘➀✸❻➎❺❀✿❉➣➒✼↔❽❃●❊✻●✿✘➀✗✻✘➆✭➑❜✼✗✻✯❽❃✽❊✻●✿❃❫✩P❄➞▼✲✟✮❴✶✻➋❺s❅❇❺✇▲✦❻❆❿☞✻✵➀✸❻❆❺✇▲❼✻●❃❆✻●➀✸✿ ➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ▼ ✞

P❄➞➶P ➆➋Ö✱❻✴❿☞➓✸➣➒✿✘➀✸❻➎❺❀✿❉➣➒✼↔❽❃●❊✻●✿✘➀✗✻✘➆✭➑❜✼✗✻✯❽❃✽❊✻●✿❃❫✩P❄➞▼✲✟✮❴✶✻➋➓☛✿●▲❀❻❆❏✸❃✴❅→✻●➣✜❃✴✾✰❂

Ô

▲✦❅❇❃✴✿ ➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ▼●▼

P❄➞✔✟ ➆➋Ö✱❻✴❿☞➓✸➣➒✿✘➀✸❻➎❺❀✿❉➣➒✼↔❽❃●❊✻●✿✘➀✗✻✘➆✭➑❜✼✗✻✯❽❃✽❊✻●✿❃❫✩P❄➞▼✲✟✮❴✶✻➋➓☛✿●▲❀❻❆❏✸❃✴❅→✻●➣✏✻✽❈✗✻●❅ôÖ✱✿✘➀✸✿✵î✽✻●➣❇✿●✾ó❃❆✾❆❂

Ô

▲✦❅➒❃❆✿ ➞ ▼✽P

P❄➞

➍➎❻✴✿❉❿☞❻☎▲✦✾s❅→✻④➓✗✻✽✾✦✻✘✿Û❃✜❂✻●➣❇❃✴✼✸➣❇✿✵➀❄✿Û➓☛✿●▲❀❻❆❏✸❃✴❅→✻●➣✜❻☎ñ✷❻✴▲❀❅➒î❉✿ ➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ▼✲✟

P❄➞✺✸ ➆➇❺s➑❜✼✸❻❆❿☞✻Û➀❄❻Ò➑❜✼✗✻✽➀✸✾✦✻●❏➯▲❀❻❆❺❪❏✗✻Û❺s✿❉➣❇✼✟❽❃●❊✻●✿✘➀✗✻✘➆✭➑❜✼✗✻✯❽❃●❊✻✽✿◆➀✸✿Ûé✟✿✽▲✦❻❆❏❄❃❆❅→✻✽➣ ➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ▼✛✴

P❄➞❭✴ ➈✱✿❉➣❇✼✟❽❃●❊✻●✿✵➀✗✻Û➆✭➑❜✼✗✻✯❽❃●❊✻✽✿☞➀✸✿☞é✟✿✽▲✦❻❆❏❄❃❆❅→✻✽➣➪ë❄❅➒❏➯▲✦❻❆✾✇î✽✻●➣❇✿❉❺ó❿☞✻●❅➒✿❉✾❀❻✴❺⑦➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ P●❖

P❄➞

➈✱✿❉➣❇✼✟❽❃●❊✻●✿✵➀✗✻Û➆✭➑❜✼✗✻✯❽❃●❊✻✽✿☞➀✸✿☞é✟✿✽▲✦❻❆❏❄❃❆❅→✻✽➣➪ë❄❅➒❏➯▲✦❻❆✾✇î✽✻●➣❇✿❉❺ó❿Û❻❆❏❄✿❉✾❀❻✴❺ ➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ P●❖

P❄➞✺✌ ➆➇❺s➑❜✼✸❻❆❿☞✻Û✾s❻❆➓✸✾s❻❆❺s❻❆❏➯▲❼✻●❏❄➀✸✿➐✻✵➀✸❻❆❺s❃❆✿❉❏➯▲❀❅❇❏❜✼✸❅❇➀✸✻●➀✸❻➎➀✗✻✵î●✻✽✾❀❅✶❂✻✔î❉❻❆➣❛❵★❜ ➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ P❉▼

P❄➞✞ ❖❸➆➇❺s➑❜✼✸❻❆❿☞✻Û❅➒❏✸➀✸❅➒❃✰✻●❏✸➀❄✿Û❺s✼✸❈✸❅➒❏❜▲❀❻❆✾✇î●✻✽➣❇✿❉❺ó✾s❻✰✻●❅➒❺❆ë✬❱❳❲➌▼✪ë➶❖❄ë❝❵❁❜✰ë❝❞❡❲➎❖✱ë✕ ➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ P❉▼

P❄➞

✞✛✞

➆➇❺s➑❜✼✸❻❆❿☞✻Û❅➒❏✸➀✸❅➒❃✰✻●❏✸➀❄✿Û❺s✼✸❈✸❅➒❏❜▲❀❻❆✾✇î●✻✽➣❇✿❉❺ó✾s❻✰✻●❅➒❺❆ë✬❱❳❲➌▼✪ë➶❖❄ë❝❵✲❢➳ë❝❞❡❲➎❖✱ë

➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ P●P

P❄➞

▼⑧é➇✾s✿✔ðs❻✱❽❃✽❊✻●✿Û❏✸✿✘➓✸➣→✻●❏❄✿❣◗✬❯ ➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ P✰✟

P❄➞✞ P❸➆➇❺s➑❜✼✸❻❆❿☞✻Û❅➒❏✸➀✸❅➒❃✰✻●❏✸➀❄✿Û❺s✼✸❈✸❅➒❏❜▲❀❻❆✾✇î●✻✽➣❇✿❉❺ó✾s❻✰✻●❅➒❺❆ë✬❱❳❲➌▼✪ë✕ ë❝❵✲❢➳ë❝❞❡❲➎❖✱ë▼ ✕ ➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ P✰✟

P❄➞

✟ ➆➇❺s➑❜✼✸❻❆❿☞✻Û❅➒❏✸➀✸❅➒❃✰✻●❏✸➀❄✿Û❺s✼✸❈✸❅➒❏❜▲❀❻❆✾✇î●✻✽➣❇✿❉❺ó✾s❻✰✻●❅➒❺❆ë✬❱❳❲➌▼✪ë

ë❝❵✲❢➳ë❝❞❡❲➎❖✱ë▼

➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ P

P❄➞

✞✖✕

é➇✾s✿✔ðs❻✱❽❃✽❊✻●✿Û➀✸❻➎❺❀✼✸➓☛❻❆✾✇ñ✇❂

Ô

❃❆❅➒❻✂❃❆✾❆❂

Ô

▲✦❅➒❃✰✻Þ❃✴✿❉❿➊✾❀✿✽▲❼✻✯❽❃✽❊✻●✿✘❃❆✿❉❏✸❺✇▲❼✻●❏➯▲❀❻ ➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ P

P❄➞✞ ✸❸é↔✻●✾✸❂✻●❈✯✿●➣→✻●❺⑦❃✴✿❉❏✸❺✇▲✦✾❀✼✜❂

Ô

➀✗✻●❺✴ë✝❤✐❲ ✞ ë✕ ➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞✹✟❉❖

P❄➞✞ ✴⑧é↔✻●✾✸❂✻●❈✯✿●➣→✻●❺⑦❃✴✿❉❏✸❺✇▲✦✾❀✼✜❂

Ô

➀✗✻●❺✴ë✝❤✐❲➎▼✱ë✕ ➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞✹✟❉❖

P❄➞

✞★✧

é↔✻●✾✸❂✻●❈✯✿●➣→✻Þ❃❆✿●❏✸❺s▲❀✾❀✼✏❂

Ô

➀✗✻❄ë✓❤✐❲

ë➶▼●P➯▼✽❖✦✸ ➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞✹✟

P❄➞✞ ✌ ➍➎✾✸❂✻✽ì✗❃❆✿❥❱❣❫❅❞❧❦♠❵♥❦♣♦❑❦rq✤❴ts✉❱❨✈❚î❉❻❆✾s❺❀✼✸❺✇❵❶➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞✹✟❉P

P❄➞▼✽❖ ➍➎✾✸❂✻✽ì✗❃❆✿❣①②❫❅❞☛❦♠❵♥❦♣♦✑❦rq③❦♣❱④✈⑤❴❨î❉❻✴✾❀❺❀✼❄❺✇❵ ➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞✹✟❉P

P❄➞▼

➈✱✼✸➓☛❻❆✾sñ■❂

Ô

❃❆❅➒❻✂❻❆➑❜✼✸❅❇➓☛✿●▲❀❻❆❏✸❃✴❅→✻●➣✜❃✴✾✰❂

Ô

▲✦❅❇❃❆✻↕➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞✹✟✛✟

✟✸➞✞ ❯❪✿●▲✦✻✯❽❃●❊✻✽✿✵❏✜❊✻●✿Û❺❀❅❇❏❄❃❆✾❀✿●❏✸❅❇ï❆✻●➀✗✻ ➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞✹✟ ✕

✟✸➞▼ ➈✱✼✸➓☛❻❆✾sñ■❂

Ô

❃❆❅➒❻❆❺ó❻❆➑❜✼✸❅➒➓✯✿✽▲✦❻❆❏❄❃❆❅→✻✽❅❇❺

✾❀✻✶î✪❅ô▲❼✻●❃✴❅❇✿❉❏✗✻✽❅❇❺❆ë✑❞⑥❲✂❖❄ë

❻Ò➀❄❅➒î❉❻✴✾❀❺s✿❉❺óî●✻✽➣❇✿❉✾s❻❆❺ó➀✸❻❨✒ ➞➛➞

✟✸➞➶P ➈✱✼✸➓☛❻❆✾sñ■❂

Ô

❃❆❅➒❻❆❺ó❻❆➑❜✼✸❅➒➓✯✿✽▲✦❻❆❏❄❃❆❅→✻✽❅❇❺

✾❀✻✶î✪❅ô▲❼✻●❃✴❅❇✿❉❏✗✻✽❅❇❺❆ë✑❞⑥❲✂❖❄ë✃P✵❻Ò➀❄❅➒î❉❻✴✾❀❺s✿❉❺óî●✻✽➣❇✿❉✾s❻❆❺ó➀✸❻❨✒ ➞➛➞

✕✑✞

✟✸➞✔✟ ➈✱✼✸➓☛❻❆✾sñ■❂

Ô

❃❆❅➒❻❆❺ó❻❆➑❜✼✸❅➒➓✯✿✽▲✦❻❆❏❄❃❆❅→✻✽❅❇❺

✾❀✻✶î✪❅ô▲❼✻●❃✴❅❇✿❉❏✗✻✽❅❇❺❆ë✑❞⑥❲✂❖❄ë✺✴Þ❻Ò➀❄❅➒î❉❻✴✾❀❺s✿❉❺óî●✻✽➣❇✿❉✾s❻❆❺ó➀✸❻❨✒ ➞➛➞ ✕ ▼

✟✸➞

➈✱✼✸➓☛❻❆✾sñ■❂

Ô

❃❆❅➒❻❆❺ó❻❆➑❜✼✸❅➒➓✯✿✽▲✦❻❆❏❄❃❆❅→✻✽❅❇❺

✾❀✻✶î✪❅ô▲❼✻●❃✴❅❇✿❉❏✗✻✽❅❇❺❆ë✑❞⑥❲✂❖❄ë✔✌✵❻Ò➀❄❅➒î❉❻✴✾❀❺s✿❉❺óî●✻✽➣❇✿❉✾s❻❆❺ó➀✸❻❨✒ ➞➛➞

(6)

Ô Ô

➓✯✿●▲❀❻❆❏✸❃✴❅→✻●❅➒❺✄❱ ➞Ò➞➛➞Ò➞Ò➞Ò➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞

✟✸➞❭✴ é✟✿●▲❀❻❆❏✸❃✴❅→✻●➣✜❻✴❿➊ñ✷✼✸❏↔❽❃✽❊✻●✿✘➀✸✿☞✾❀✻●❅❇✿❄ë✓❞⑥❲✂❖❄ë✃P ➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✕✛✕

❯❪❻✴➓✸✾❀❻✴❺❀❻❆❏➯▲✦✻✯❽❃●❊✻●✿☞➀✗✻●❺❪✻●❃✴❻❆➣❇❻✴✾✦✻✯❽❃✽❊✿❉❻❆❺❚❻✴❿➊✼✸❿➊➓☛✿❉❏➯▲✦✿✘❏✗✻✘❺❀✼✸➓☛❻❆✾✇ñ✇❂

Ô

❃✴❅❇❻✂➀✗✻✘❻❆❺✇▲✦✾❀❻✴➣→✻ ➞Ò➞Ò➞➛➞

✕ ➞▼ ❯❪❻✴➓✸✾❀❻✴❺❀❻❆❏➯▲✦✻✯❽❃●❊✻●✿☞➀✗✻●❺❪✻●❃✴❻❆➣❇❻✴✾✦✻✯❽❃✽❊✿❉❻❆❺óî✪❅❇❺✇▲❼✻●❺❚➓☛✿❉✾ó✿❉❈✸❺s❻❆✾✇î●✻✽➀✸✿❉✾❀❻✴❺❱➀❄❅➒ñ✷❻❆✾s❻❆❏➯▲✦❻✴❺ ➞Ò➞➛➞Ò➞Ò➞➛➞ ✕✰✧

✕ ➞➶P é➇✾s✿✔ðs❻✱❽❃✽❊✻●✿Û➀✸❻➎❺❀✼✸➓☛❻❆✾✇ñ✇❂

Ô

❃❆❅➒❻✂❃❆✾❆❂

Ô

▲✦❅➒❃✰✻Þ❃✴✿❉❿➊✾❀✿✽▲❼✻✯❽❃✽❊✻●✿✘❃❆✿❉❏✸❺✇▲❼✻●❏➯▲❀❻ ➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✕ ✌

➞✔✟ ❹❳❅❇❺s▲❀✾❀❅➒❈✸✼✸❅s❽❃✽❊✿❉❻❆❺❨➀✸❻✂î❉❻❆➣➒✿✱❃✴❅❇➀✗✻✽➀✸❻❆❺❚✻●❏

✼✸➣→✻✽✾❀❻❆❺❚❻✴❿ ñ✷✼✸❏↔❽❃✽❊✻●✿✘➀✗✻Û❃✴✿✽Õ❬➣❇✻✽▲✦❅ô▲✦✼✸➀❄❻ ➞Ò➞➛➞Ò➞Ò➞➛➞

✕ ➞✕ é➇✾s✿✔ðs❻✱❽❃✽❊✿❉❻❆❺❢❏✸✿❉❺❢➓✸➣❇✻●❏✸✿❉❺☛◗❚❙❄ë✑❯❑❙Ò❻❘◗✬❯✵➀✸❻óñ✷✿❉✾s❿◆✻●❺✭❃✴✿❉❿ ✾❀✿✽▲❼✻✯❽❃✽❊✻●✿➎➀✸❅➒ñ✷❻✴✾❀❻❆❏❄❃❆❅→✻✽➣➪ë✢⑧⑩⑨⑤❶❷⑥❸❺❹★❲❨✟❻✸●❖

✕ ➞✺✸ é➇✾s✿✔ðs❻✱❽❃✽❊✿❉❻❆❺❪❏✸✿✘➓✸➣❇✻●❏✸✿✪◗❚❙☞➀✸❻✂ñ✷✿❉✾s❿◆✻✽❺⑦❃❆✿❉❿ ✾❀✿●▲✦✻✯❽❃●❊✻●✿✘➀✸❅ôñ✷❻❆✾s❻❆❏✸❃✴❅→✻●➣✤ë✝⑧⑩⑨⑤❶❷⑥❸❺❹❁❲ ✞ ➞➛➞Ò➞Ò➞➛➞❉✸ ✞

➞❭✴ ❹❳❅❇❺s▲❀✾❀❅➒❈✸✼✸❅s❽❃✽❊✻●✿Þ➀✗✻Þî●❻❆➣❇✿✪❃❆❅➒➀✗✻●➀✸❻➎✻✽❏

✼✸➣❇✻●✾ó❻❆❿ ñ✷✼❄❏↔❽❃●❊✻●✿✘➀✗✻✘❃❆✿✔Õ❬➣→✻✔▲✦❅➒▲❀✼✸➀✸❻❳➓✸✻●✾✦✻✵✿☞➈✱✿❉➣í➞➛➞❉✸❉▼

✕ ➞✧ ➉✒✿●✾❀❿☞✻Þ➀✸❻➎✼✸❿◆✻Þ❻✴❺s▲❀✾❀❻❆➣❇✻Û❈❄❅❇❏❚❂✻●✾s❅→✻④❃✴✿❉❿ ✻✘✾❀✿●▲✦✻✯❽❃●❊✻✽✿Û➀❄❅➒ñ✷❻❆✾s❻❆❏✸❃✴❅→✻●➣✯❺❀✿❉➣❇✻●✾❸➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞❉✸❉▼

✸❄➞✞ ➍➎✾✸❂✻✽ì✗❃❆✿✘➓☛✿●▲✦❻✴❏✸❃❆❅❇✻●➣✜❻✴❿ ñ✷✼✸❏↔❽❃✽❊✻●✿☞➀❄✿Û✾❀✻●❅❇✿ ➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞❉✸✛✸

✸❄➞▼ ➍➎✾✸❂✻✽ì✗❃❆✿❽❼❚❱❳❾✛❼❝❵✵❻❆❿➊ñ✷✼✸❏✟❽❃●❊✻●✿✘➀✸✿Û✾✦✻●❅➒✿ ➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞❉✸✦✴

✸❄➞➶P ➍➎✾✸❂✻✽ì✗❃❆✿❥❿❥❫❅❞☛❦♣⑧❨❦➁➀③❾❉▼❑❦rq✤❴⑥❻❆❿①ñ✷✼✸❏↔❽❃●❊✻✽✿☞➀✸✿×ö✻●❏

✼✸➣❇✿❥q✚➓✗✻✽✾✦✻❣♦➂❲➃➀③❾❉▼❑➄Û➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞❉✸ ✧

✸❄➞✔✟ ➍➎✾✸❂✻✽ì✗❃❆✿❥❿❥❫❅❞☛❦♣⑧❨❦➁➀③❾❉▼❑❦rq✤❴⑥❻❆❿①ñ✷✼✸❏↔❽❃●❊✻✽✿☞➀✸✿×ö✻●❏

✼✸➣❇✿❥q✚➓✗✻✽✾✦✻❣♦➂❲➃➀③❾●P✓➄Û➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞❉✸ ✧

✸❄➞

➍➎✾✸❂✻✽ì✗❃❆✿❥❿❥❫❅❞☛❦♣⑧❨❦➁➀③❾❉▼❑❦rq✤❴⑥❻❆❿①ñ✷✼✸❏↔❽❃●❊✻✽✿☞➀✸✿×ö✻●❏

✼✸➣❇✿❥q✚➓✗✻✽✾✦✻❣♦➂❲➃➀③❾✰✟✝➄Û➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞❉✸✛✌

✸❄➞✺✸ ➍➎✾✸❂✻✽ì✗❃❆✿❥❿❥❫❅❞☛❦♣⑧❨❦➁➀③❾❉▼❑❦rq✤❴⑥❻❆❿①ñ✷✼✸❏↔❽❃●❊✻✽✿☞➀✸✿×ö✻●❏

✼✸➣❇✿❥q✚➓✗✻✽✾✦✻❣♦➂❲➃➀③❾✛✸✓➄Û➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞❉✸✛✌

✸❄➞❭✴ ➍➎✾✸❂✻✽ì✗❃❆✿➃î❉❻✴➣❇✿✪❃❆❅❇➀✸✻●➀✸❻ ✻✽❏

✼✸➣❇✻●✾➔❻❆❿ ñ✷✼✸❏↔❽❃●❊✻✽✿❣➀✗✻❣❃✴✿✽Õ❬➣❇✻✽▲✦❅ô▲✦✼✸➀❄❻ ➓✸✻●✾✦✻❣➀❄❅➒î❉❻✴✾❀❺❀✻●❺×➀✸❅➒❺✇Õ

▲✦✾❀❅➒❈✸✼✸❅✇❽❃●❊✿❉❻✴❺ó➀✸❻✂î❉❻❆➣➒✿✱❃✴❅❇➀✗✻✽➀✸❻➎✻●❏

✼❄➣→✻●✾ ➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➅✴✽❖

✸❄➞

➍➎✾✸❂✻✽ì✗❃❆✿➔➀✸❻✉➆➇➉➈★➊✮➇❺➋✷➆

➇ ➈

❻✴❿ ñ✷✼✸❏↔❽❃●❊✻✽✿❘➀✗✻➐❃✴✿✽Õ❬➣❇✻✽▲✦❅ô▲✦✼✸➀✸❻④➓✗✻●✾✦✻➔➀✸❅ôî❉❻❆✾s❺✦✻●❺➎➀✸❅➒❺s▲❀✾❀❅❇❈❄✼✸❅s❽❃✽❊✿❉❻❆❺✂➀✸❻

î❉❻❆➣➒✿✱❃✴❅❇➀✗✻✽➀✸❻➎✻●❏

✼❄➣→✻●✾ ➞Ò➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➅✴ ✞

✸❄➞✺✌ ➍➎✾✸❂✻✽ì✗❃❆✿☞➀✸❻②⑧

❺s❻❆❏✇♦☞❻❆❿ ñ✷✼✸❏✟❽❃●❊✻●✿å➀✸✻☞❃❆✿✔Õ❬➣→✻✔▲✦❅➒▲❀✼✸➀✸❻➎➓✗✻●✾❀✻☞➀✸❅ôî❉❻✴✾✦✻●❺❳➀❄❅❇❺s▲❀✾❀❅➒❈✸✼✸❅s❽❃✽❊✿❉❻❆❺❚➀✸❻

î❉❻❆➣➒✿✱❃✴❅❇➀✗✻✽➀✸❻➎✻●❏

(7)

þ

✟✸➞✞ ➄❢✻●➣❇✿❉✾s❻❆❺ó➀✸✿✘➓☛✿●▲✦❻✴❏✸❃❆❅❇✻●➣✜❃✴✾✰❂

Ô

▲❀❅❇❃✴✿✵➓✗✻●✾✦✻✵➀✸❅ôî❉❻✴✾❀❺❀✿●❺❪î✽✻●➣➒✿❉✾❀❻✴❺ó➀✸❻❳❞ ❻➎➀✸❻❨✒ ➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞✹✟✦✌

✟✸➞▼ ❲❨✿❉❿☞➓✸✻●✾✦✻✯❽❃✽❊✻●✿✵➀✸❻➎✾❀❻✴❺❀✼✸➣ô▲❼✻●➀❄✿❉❺❆ë❝❞❡❲➌❖❄ë

➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞

✟✸➞➶P ❲❨✿❉❿☞➓✸✻●✾✦✻✯❽❃✽❊✻●✿✵➀✸❻➎✾❀❻✴❺❀✼✸➣ô▲❼✻●➀❄✿❉❺❆ë❝❞❡❲➌❖❄ë✃P ➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞

✕✑✞

✟✸➞✔✟ ❲❨✿❉❿☞➓✸✻●✾✦✻✯❽❃✽❊✻●✿✵➀✸❻➎✾❀❻✴❺❀✼✸➣ô▲❼✻●➀❄✿❉❺❆ë❝❞❡❲➌❖❄ë✺✴ ➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✕ ▼

✟✸➞✕ ❲❨✿❉❿☞➓✸✻●✾✦✻✯❽❃✽❊✻●✿✵➀✸❻➎✾❀❻✴❺❀✼✸➣ô▲❼✻●➀❄✿❉❺❆ë❝❞❡❲➌❖❄ë✔✌ ➞Ò➞➛➞➎➞Ò➞➛➞Ò➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞➎➞Ò➞➛➞Ò➞➛➞Ò➞Ò➞➛➞ ✕ P

✸❄➞

❲❨✿❉❿☞➓✸✻●✾✦✻✯❽❃✽❊✻●✿✵❻❆❏➯▲❀✾❀❻Ò✿❉❺❚❿ ❻☎▲✦✿✪➀✸✿❉❺ó➀✸❻Ò❭❱❻✶✵ó▲✦✿❉❏↕❻➎➀✸❻Ò❁✡✻❂

✼✸❻✴✾❀✾❀❻✰✻❩❱➂❲➎▼✱ë

➞Ò➞➛➞Ò➞Ò➞➛➞❉✸✰✟

✸❄➞▼ ❲❨✿❉❿☞➓✸✻●✾✦✻✯❽❃✽❊✻●✿✵❻❆❏➯▲❀✾❀❻Ò✿❉❺❚❿ ❻☎▲✦✿✪➀✸✿❉❺ó➀✸❻Ò❭❱❻✶✵ó▲✦✿❉❏↕❻➎➀✸❻Ò❁✡✻❂

✼✸❻✴✾❀✾❀❻✰✻❩❱➂❲➎▼✱ë✞ ➞Ò➞➛➞Ò➞Ò➞➛➞❉✸ ✕

✸❄➞➶P ❲❨✿❉❿☞➓✸✻●✾✦✻✯❽❃✽❊✻●✿✵❻❆❏➯▲❀✾❀❻Ò✿❉❺❚❿ ❻☎▲✦✿✪➀✸✿❉❺ó➀✸❻Ò❭❱❻✶✵ó▲✦✿❉❏↕❻➎➀✸❻Ò❁✡✻❂

✼✸❻✴✾❀✾❀❻✰✻❩❱➂❲➎▼✱ë✃❖ ➞Ò➞➛➞Ò➞Ò➞➛➞❉✸

✸❄➞✔✟ ✺ ❻✴▲❀✿✱➀✸✿✘➀✸❻Ò❭❪❻✷✵ó▲✦✿●❏✚➓✗✻●✾❀✻✵❻❆❏✸❃✴✿❉❏➯▲✦✾✦✻✽✾❪➓☛✿●▲❀❻❆❏✸❃✴❅→✻●➣✜❃✴✾✰❂❂

Ô

(8)

❿Û✿✪➀✸❻❆➣➒✿✳➀✗✻✽❺å❺❀✼✸➓☛❻❆✾✇ñ✇❂

Ô

❃✴❅❇❻❆❺☞❻❆➑❜✼✸❅➒➓✯✿●▲❀❻❆❏✸❃✴❅→✻●❅➒❺

✾✦✻✰î✪❅➒▲❼✻✽❃❆❅❇✿●❏✗✻●❅❇❺✘❻☎ñ✷❻✴▲✦❅ôî✽✻●❺☞❃✴✿❉❏➯▲✦❅➒❏✪✼✸✻✖❺❀❻✴❏✸➀✸✿✸ë❱✻✽▲✱❂❻

✿❉❺➎➀✸❅→✻✽❺➎✻✽▲✦✼✗✻✽❅❇❺❆ë❋✿❘➓✸✾s✿✱❃✴❻❆➀✸❅➒❿☞❻✴❏➯▲✦✿➐❿☞✻●❅❇❺✂✻✽➀✸❻❆➑❜✼✗✻●➀❄✿❘➓✗✻✽✾✦✻➐❺❀❻Û❻❆❺✇▲✦✼✸➀✗✻✽✾➛✻✽❺❳ñ✷✿❉✾❀❿☞✻●❺➎✻●❺s❺❀✼✸❿Û❅❇➀✗✻✽❺✂➓✯✿❉✾

❃❆✿❉❿Û➓☛✿❉❏✸❻❆❏➯▲❀❻❆❺❪➀✸❻➛❺s❅❇❺✇▲✦❻❆❿☞✻●❺❚❻❆❺✇▲✦❻✴➣→✻●✾s❻❆❺❪❈✸❅❇❏❚❂✻✽✾❀❅❇✿●❺❆➞➇◗ ñ✷✿❉✾❀❿☞✻✵➀✗✻●❺❚❃❆✿❉❿Û➓☛✿❉❏✸❻❆❏➯▲❀❻❆❺↕❂❻➎➀✸❻✂ñ✷✼✸❏❄➀✗✻●❿Û❻❆❏➯▲❼✻●➣

❅❇❿Û➓✯✿●✾s▲✽ö✻✽❏✸❃❆❅❇✻◆❏✗✻↕✻●❏❚❂✻●➣➒❅❇❺❀❻④➀✗✻●❺➎❃❆✼✸✾✇î✽✻●❺➛➀❄❻Û➣➒✼✸ï✵➀✸❻Û❺❀❅➒❺s▲✦❻✴❿◆✻✽❺✂❻❆❃❆➣➒❅❇➓✸❺❀✻●❏➯▲✦❻✴❺❆➞Û◗♥❿☞✻●❅➒✿❉✾❫➓✸✾s❻❆❃✴❅❇❺❆❊✻✽✿❘➀✗✻✽❺

❺❀✼✸➓☛❻❆✾✇ñ✇❂

Ô

❃✴❅❇❻❆❺✘❻✴➑✪✼❄❅❇➓☛✿●▲✦❻✴❏✸❃❆❅❇✻●❅❇❺✴ë❢❻✴❏➯▲✦✾❀❻☎▲❼✻●❏➯▲❀✿✸ë❨❻➳Ö❄❅

❻➐✼✸❿ ▲❀✾✦✻●❈✸✻●➣❇ò✸✿➏❃✴✿❉❿☞➓❄✼❄▲❼✻●❃✴❅❇✿❉❏✸✻●➣❨❿☞✻●❅❇✿●✾④❺❀❻↕❃❆✿●❿✘Õ

➓✗✻●✾❀✻●➀✸✿❉❺❪✻✵❿☞✿✪➀✸❻✴➣❇✿❉❺⑦❿☞✻●❅➒❺⑦❺❀❅➒❿☞➓✸➣➒❻❆❺ó❃✴✿❉❿☞✿✘✿✘❿Û✿✱➀✸❻✴➣❇✿✵❻✴❺sñ✰❂❻❆✾s❅❇❃✴✿Û➀❄❻➛❯❚✼✸❺s❺❀❻❆➣➒➣➪➞

◗ ❻✴➑✪✼✸✻✯❽❃●❊✻●✿✳➀✸✿ ➓✯✿●▲❀❻❆❏✸❃✴❅→✻●➣✤ë➇➑✪✼✸✻●❏➯▲✦✿✳▲❀✾✦✻●❈✸✻●➣❇ò✗✻✽➀✗✻✎❻❆❿ ✾❀❻✴➓✸✾❀❻✴❺❀❻✴❏❜▲✦✻✯❽❃●❊✻✽✿ ➀✸❅❇✾s❻✴▲✦✻❄ë⑥❏❄✿❉❺Ûñ✷✿●✾❀❏✸❻✴❃❆❻↕✿

➓✯✿✽▲✦❻❆❏❄❃❆❅→✻✽➣⑥➀✸❻◆✼✸❿ ➓✯✿❉❏➯▲❀✿×❻❆❿ ñ✷✼✸❏↔❽❃✽❊✻●✿✎➀✗✻✚➀✸❅➒❺s▲✔ö✻●❏✸❃❆❅❇✻❘❻å➀✸✻✚✿❉✾❀❅➒❻❆❏➯▲❼✻☛❽❃●❊✻●✿❘➀✸✿✎❿☞❻✴❺❀❿Û✿✸ë↔✿●✼ ❺❀❻❬ð❀✻❄ë✭❻❆❿

ñ✷✼✸❏↔❽❃✽❊✻●✿✳➀❄❻❘❺s❻❆✼♦î●❻✴▲❀✿❉✾☞➓☛✿❉❺s❅s❽❃●❊✻✽✿✸➞❣❭❪❻❆❺✇▲❼✻ ñ✷✿●✾❀❿Þ✼✸➣❇✻✯❽❃●❊✻✽✿✸ë➇❏✜❊✻●✿ ✾❀❻❆➑❜✼✸❻✴✾

✾✦✻●❏✸➀❄❻↕▲❀✾✦✻●❈✗✻✽➣❇ò✸✿➏❃❆✿●❿☞➓✸✼✱▲❼✻✔Õ

❃❆❅➒✿❉❏✗✻●➣❚➓✗✻●✾❀✻✳❺s❻❆✼⑧❃✜❂✻●➣❇❃✴✼✸➣❇✿✸➞ é✙✿❉✾✪❂❻✴❿❘ëó❻✴❿ ❺❀✼✗✻✳ñ✷✿●✾❀❿Þ✼✸➣❇✻✯❽❃●❊✻✽✿✳❅➒❏❜î●❻❆✾s❺✦✻❄ëó✿❉✼❣❺❀❻■ð❀✻✱ëó❻❆❏✸❃✴✿❉❏➯▲✦✾✦✻✽✾◆✿✖✾❀✻●❅❇✿

❫✷î●❻✴▲✦✿●✾❪➓☛✿❉❺s❅s❽❃●❊✻✽✿✮❴⑥❻❆❿①ñ✷✼✸❏↔❽❃●❊✻✽✿Û➀❄✿Û➓☛✿●▲❀❻❆❏✸❃✴❅→✻●➣✜❻✴❺s▲✦✻●❈✯❻✴➣❇❻✴❃❆❅❇➀❄✿✵❻Ò➀✸✻✘➀❄❅❇✾❀❻✪❽❃●❊✻●✿✘❻✴❺❀➓☛❻❆❃❆❅ôì✗❃✰✻✽➀✗✻❄ë✗✾❀❻✴➑❜✼✸❻❆✾❚✼✸❿

▲✦✾❀✻✽▲❼✻●❿Û❻❆❏➯▲❀✿➛❻✴➣→✻●❈☛✿❉✾✦✻✽➀✸✿➛❻❱✼✸❿ ❺❀❅

❏✸❅ôì✗❃✰✻●❏➯▲❀❻❪▲❀✾✦✻●❈✗✻✽➣❇ò✸✿Ò❏❜✼✸❿ ❻✴✾❀❅➒❃❆✿✸➞✭❙❪❿❂ ➀✸✿❉❺⑥✿❉❈✪ðs❻✴▲❀❅➒î●✿❉❺⑥➀❄✿④➓✸✾s❻❆❺❀❻✴❏➯▲✦❻

▲✦✾❀✻●❈✗✻●➣➒ò✸✿➛❃✴✿❉❏✸❺s❅❇❺s▲❀❻❫❻✴❿①❃✴✿❉❏➯▲✦✾❀✿●➣→✻●✾✴ë✪➓☛✿❉✾❢➀✸❅➒ñ✷❻✴✾❀❻✴❏❜▲❀❻❆❺❨✻●❈✯✿●✾❀➀✗✻

❻❆❏✸❺✴ë✸✻➛❅➒❏➯î❉❻❆✾s❺❆❊✻●✿④➀✸❻❆❺s❺✦✻Þ❻❆➑❜✼✗✻☛❽❃●❊✻●✿✸ë✱➓✗✻●✾❀✻

✼✸❺❀✿☞❻❆❿ ❿Û✿✱➀❄❻❆➣❇✿●❺❪➀❄❻➛❺s❅❇❺s▲❀❻❆❿☞✻●❺❚❈✸❅❇❏ó❂✻●✾❀❅➒✿❉❺ó❻❆❃✴➣❇❅❇➓❄❺✦✻●❏➯▲✦❻✴❺❆➞❚❙❪❿◆✻✘❃❆✿❉❏❄❺❀❻❆➑➑➐✼✜ö❻✴❏✸❃❆❅❇✻☞➀✸❻✴❺❀❺❀❻Ò▲✦✾❀✻●❈✗✻●➣➒ò✸✿Ûñ✷✿●❅✡✻

❅❇❿Û➓✸➣❇❻✴❿☞❻✴❏➯▲❼✻✯❽❃✽❊✻●✿❚❏✸✿❫❿Û✿✱➀❄❻❆➣❇✿❚➀✸❻⑥✾❀✿●▲✦✻✯❽❃●❊✻✽✿❱➀✸❅ôñ✷❻❆✾s❻❆❏✸❃✴❅→✻●➣❜❻❢➀✸❅❇❺s❃❆✼❄▲❀❅❇❿Û✿❉❺✙✻●❺✟❃✴✿❉❏❄ì

✼✸✾✦✻✯❽❃✽❊✿❉❻❆❺

❻❆✿●❿ ❻☎▲✦✾❀❅➒❃✰✻●❺❂

✿❉✾❀❅

(9)

★ ☎

➜óò✸❻

✾✦✻✰î✪❅➒▲✦✻✽▲✦❅➒✿❉❏✗✻●➣➇❻✶➓❋❻✴❃✴▲✦❅ôî❉❻➔❻❆➑❜✼✸❅➒➓✯✿✽▲✦❻❆❏➯▲❀❅→✻●➣❢❺❀✼✸✾✇ñ✩✻●❃❆❻➐❿Û✿✪➀✸❻❆➣⑥❃❆✿❉❏➯▲✦❅➒❏❜✼✸❻❆❺Þ▲❀✿×❈✯❻✽ë➇❻✴î❉❻✴❏♦❅➒❏✖▲✦ò❄❻

▲✦ò✸❻✂➓❄✾❀❻❆❺s❻❆❏➯▲✰ë✗▲❀ò✸❻➎❿☞✿❉✾s❻✂✻●➓✸➓❄✾❀✿❉➓✸✾s❅→✻✽▲❀❻❆➀➐➓✸✾s✿✱❃✴❻❆➀✸✼❄✾❀❻✂▲✦✿

❻✴❏✸❻❆✾❀✻✽▲✦❻❳▲❀ò✸❻✂ñ✷✿❉✾❀❿ ✻●❺❀❺s✼✸❿☞❻✴➀➔❈✮➔◆▲✦ò✸❻➎❃❆✿●❿✘Õ

➓✯✿●❏✸❻❆❏➯▲✦❺Ò✿●ñ❨❺s▲✦❻✴➣❇➣❇✻●✾❳❈✸❅➒❏✗✻●✾➁➔×❺➁➔✪❺s▲❀❻❆❿Û❺❆➞◆➜óò❄❻◆✻●➀❄✿❉➓❄▲✦❻✴➀✳ì

✼✸✾❀❻✵ñ✷✿❉✾✂▲✦ò❄❻Û❃✴✿❉❿Û➓✯✿❉❏❄❻❆❏➯▲✦❺Ò❅❇❺✂✿●ñ❨✼✸➓✸❿Û✿❉❺s▲

❅❇❿Û➓✯✿●✾s▲❼✻✽❏✸❃❆❻❱❅❇❏å▲✦ò❄❻✂➣❇❅

ò❜▲❨❃❆✼✸✾✇î❉❻Ò✻●❏✗✻✽➣→➔✪❺❀❅➒❺⑦✿●ñ✙❻❆❃✴➣❇❅❇➓❄❺❀❅❇❏

❈✸❅❇❏✸✻●✾➁➔☞❺➁➔✪❺s▲❀❻❆❿Û❺❆➞⑥❹❳❻❆❺s➓✸❅➒▲❀❻❳❅➒▲❀❺⑦✾❀❻✴❃❆✿

❏❄❅❇ï❆❻✴➀

✾❀❻❆✻✽▲✘✻●❃✴❃❆✼✸✾❀✻●❃✷➔●ë✭▲✦ò✸❻➐❿Û✿✱➀❄❻❆➣❢➀✸❻❆❿☞✻●❏✸➀✸❺✘✻×➣❇✻●✾

❻❆✾④❃✴✿❉❿Û➓✸✼❄▲❼✻✽❃❆❅❇✿●❏✗✻●➣➣✵❨✿●✾⑤↔✖❅ôñ❚❃❆✿❉❿Û➓✗✻●✾s❻❆➀❈✵❚❅ô▲✦ò ▲✦ò❄❻

❺❀➓✸ò❄❻❆✾❀❅➒❃✰✻●➣✏❿Û✿✪➀✸❻❆➣✜❈✢➔➔❯❚✼✸❺s❺❀❻❆➣➒➣➪➞

➜óò✸❻✵➓✯✿✽▲✦❻❆❏➯▲❀❅→✻●➣✡❻❆➑❜✼✗✻✔▲✦❅❇✿●❏✜ë✤✵❚ò✸❻✴❏↕✵❨✿●✾⑤↔●❻✴➀➏❅❇❏×❅ô▲✦❺❪➀✸❅❇✾s❻❆❃✴▲❫✾❀❻✴➓✸✾❀❻✴❺❀❻❆❏➯▲✦✻✽▲✦❅➒✿❉❏✜ë

❅ôî❉❻✴❺❫▲✦ò✸❻➛➓✯✿✽▲✦❻❆❏➯▲❀❅→✻●➣

✻●❺➛✻↕ñ✷✼✸❏✸❃☎▲✦❅➒✿❉❏✳✿✽ñ⑦▲✦ò✸❻Û➓☛✿❉❅❇❏➯▲Ò➀✸❅❇❺✇▲❼✻●❏❄❃❆❻å✻✽❏✸➀✖✿❉✾s❅❇❻✴❏❜▲✦✻✽▲✦❅➒✿❉❏➙❫✷▲❀ò✸❻☞✾❀✻●➀✸❅➒✼✸❺Òî●❻❆❃☎▲✦✿❉✾♠❴➛✻●❏✸➀❋ë↔❅❇❏➏▲✦ò❄❅❇❺➎ñ✷✿❉✾✇Õ

❿Þ✼✸➣❇✻✽▲✦❅➒✿❉❏✜ë☛❅➒▲❳➀❄✿✱❻✴❺❳❏✸✿●▲✂✾s❻❆➑❜✼✸❅➒✾❀❻

✾s❻✰✻✽▲❳❃❆✿❉❿Û➓✸✼❄▲✦✻●❃❆❅➒✿❉❏✗✻●➣✙❻✷➓✯✿❉✾s▲❫ñ✷✿❉✾❫❅ô▲✦❺❳❃❆✻●➣❇❃✴✼✸➣→✻✽▲❀❅❇✿❉❏❋➞❨➛❱✿✖✵⑥❻✴î●❻❆✾❆ë✡❅➒❏

❅➒▲❀❺❨❅❇❏➯î●❻❆✾❀❺s❻✂✾❀❻✴➓✸✾❀❻✴❺❀❻❆❏➯▲✦✻✽▲✦❅➒✿❉❏✜ë✓✵❚ò✸❻✴❏➔✿❉❏✸❻➜✵❨✻●❏➯▲✦❺⑦▲❀✿④ì✗❏✸➀å▲❀ò✸❻✂✾✦✻●➀❄❅❇✼✸❺❨❫✷î❉❻✴❃✴▲❀✿❉✾♣❴❨✻✽❺ó✻④ñ✷✼✸❏✸❃☎▲✦❅❇✿●❏å✿●ñ✏▲✦ò❄❻

➓✯✿✽▲✦❻❆❏➯▲❀❅→✻●➣❋✻●❏✸➀➐➓☛✿❉❅❇❏➯▲⑦➀❄❅❇✾❀❻✴❃✴▲❀❅❇✿❉❏✜ë✱❅➒▲❨➀✸❻❆❿☞✻●❏✸➀✸❺❚✻Þ❺s➓✯❻✴❃❆❅❇✻●➣✯▲❀✾❀❻✰✻✔▲✦❿Û❻❆❏➯▲✰➞✭➜óò✸❻➎✻✽❅❇❿❶✿●ñ✡▲✦ò✸❅➒❺⑦✵⑥✿❉✾⑤↔☞❅❇❺❨▲❀✿

❃❆✿❉❏➯▲❀✾❀✿❉➣✤ë✏❅❇❏➏➀✸❅→➓✯❻❆✾s❻❆❏➯▲❳✵⑦✻★➔✪❺❆ë✡▲✦ò❄❻Û❅➒❏➯î❉❻❆✾s❺❀❅➒✿❉❏✳✿✽ñ⑥▲❀ò✸❅❇❺✂❻✴➑✪✼✸✻✽▲✦❅➒✿❉❏✜➞✵◗❫❺Ò✻➐❈✢➔➏➓✸✾❀✿✪➀✸✼✸❃☎▲➎✿●ñ❢▲✦ò✸❅➒❺❳✵⑥✿❉✾➁↔☛ë

✵❨❻➂✵❨❻✴✾❀❻✵✻✽❈✸➣❇❻✂▲✦✿☞❅❇❏➯▲✦✾s✿✱➀❄✼✸❃❆❻Ò➀✸❅→➓✯❻❆✾s❻❆❏➯▲✦❅❇✻●➣✏✾❀✿✽▲❼✻✽▲❀❅❇✿❉❏➔❅❇❏↕▲✦ò✸❻Ò❿Û✿✱➀✸❻✴➣➪ë✒✻●❏❄➀✚➀✸❅➒❺❀❃❆✼❄❺❀❺❱▲❀ò✸❻

❻❆✿❉❿Û❻✴▲❀✾❀❅❇❃❆✻●➣

❃❆✿❉❏✱ì

(10)

➞ ý

ù⑧ú

ø

þ⑩ý➢➡➤✾➥ ▲✳ø

◗õñ✷✿❉✾❀❿☞✻ ➀✗✻●❺➔❺❀✼❄➓✯❻✴✾sñ✇❂

Ô

❃✴❅❇❻✴❺↕❻✴❺s▲❀❻❆➣→✻✽✾❀❻❆❺➔➀✸❻✴➓✯❻✴❏✸➀✸❻✳➀✸✿ ❈✗✻●➣→✻✽❏↔❽❃❆✿ ➀✗✻●❺➐ñ✷✿❉✾✔❽❃✰✻●❺

✾❀✻✰î✱❅ô▲❼✻●❃✴❅❇✿❉❏✸✻●❅❇❺å❻➏❏✜❊✻✽✿

❅❇❏✸❻✴✾❀❃✴❅→✻●❅➒❺❫❃❆✿●❿ ✿

✾❀✻●➀✸❅❇❻✴❏➯▲✦❻Þ➀✗✻➐➓✸✾s❻❆❺s❺❆❊✻●✿✸ë✏✿●✼ ❺s❻■ð❀✻❄ë✡✻å✾s❻❆❺s✼✸➣➒▲✦✻●❏➯▲✦❻✵➀✗✻●❺❳ñ✷✿●✾✽❽❃✰✻✽❺❳➑❜✼✸❻Û✻✽▲✦✼✗✻✽❿ ❻✴❿ ✼✸❿

➀✸❻✴▲❀❻❆✾s❿☞❅➒❏✗✻●➀✸✿❱➓✯✿❉❏➯▲❀✿❫➀✗✻❫❺s✼✸➓☛❻❆✾sñ■❂

Ô

❃❆❅➒❻⑥➀✸❻☎î❉❻⑦❺s❻❆✾➋❏❜✼✸➣❇✻❱➀✸❻⑥❿◆✻✽❏✸❻❆❅➒✾✦✻❪✻❫✿❉❈❄▲❀❻❆✾↔✿❱❻❆➑❜✼✸❅➒➣➅❂

Ô

❈❄✾❀❅❇✿❚ò✸❅➒➀✸✾❀✿●❺s▲✒❂✻✔▲✦❅❇❃✴✿✸➞

❭❱✿å❃❆✻●❺❀✿➐➀❄❻Þ❻❆❺✇▲✦✾❀❻✴➣→✻●❺❱❅❇❺s✿❉➣→✻●➀✸✻●❺❱➑❜✼✸❻✵❏❋❊✻●✿➐✻●➓✸✾s❻❆❺s❻❆❏➯▲❼✻●❿ ❿Û✿✝î✪❅➒❿☞❻✴❏❜▲❀✿◆➀✸❻④✾❀✿●▲✦✻✯❽❃●❊✻●✿❄ë✜✻☞ñ✷✿❉✾s❿◆✻✘➀✸❻④▲✦✻●❅❇❺

❺❀✼✸➓☛❻❆✾✇ñ✇❂

Ô

❃✴❅❇❻❆❺ ❻➔❻❆❺✇ñ✶❂❂ ❻❆✾s❅❇❃✰✻➙❫✩➓☛✿❉❅➒❺❆ë➇❏✗✻ ✻●✼✸❺❆ö❻✴❏✸❃❆❅❇✻ ➀❄❻➔ñ✷✿●✾✽❽❃✰✻✽❺Û❏❋❊✻●✿✳❅➒❏✸❻❆✾s❃❆❅❇✻●❅❇❺✴ë❢✿

✾❀✻●➀✸❅➒❻❆❏➯▲✦❻➔➀✗✻➏➓✸✾❀❻✴❺❀❺✴❊✻●✿

❻✎✻●❏➯▲✦❅➒➓✗✻●✾❀✻●➣❇❻✴➣❇✿✳✻●✿ î❉❻☎▲✦✿❉✾åñ✷✿❉✾✔❽❃✰✻

✾✦✻✰î✪❅➒▲❼✻✽❃❆❅❇✿●❏✗✻●➣➦❴➳➞ ✺❘❻✴❺❀❿Û✿❾➑❜✼✸❻✎❺✦✻●❅➒❈✗✻●❿Û✿❉❺å✻ ñ✷✿❉✾❀❿☞✻✖➀✗✻ ❻✴❺s▲✦✾s❻❆➣❇✻

❫✩❻✴❺sñ✰❂❻❆✾s❅❇❃❆✻✢❴☎ë✜➀❄❻✴î❉❻✴❿☞✿●❺❳ñ✩✻●ï❆❻✴✾✂✻●➣

✼✸❿◆✻✽❺❱❺s✼✸➓✯✿●❺❀❅s❽❃✽❊✿❉❻❆❺✂➑❜✼✗✻✽❏❜▲❀✿ ✻◆➀✸❅❇❺✇▲✦✾s❅❇❈✸✼✸❅✇❽❃●❊✻●✿☞➀✗✻å➀✸❻✴❏✸❺❀❅➒➀✗✻●➀✸❻✵❻✴❿➁ ❺❀❻✴✼

❅❇❏➯▲✦❻✴✾❀❅➒✿❉✾❆ë✱➀✸❻➎❿☞✿✪➀✸✿Û✻✵✾❀❻❆❺s✿❉➣➒î●❻❆✾s❿☞✿❉❺❪✻●❺ó❻✴➑❜✼✗✻✯❽❃●❊✿●❻❆❺❫➀❄❻Ò❻✴➑❜✼✸❅❇➣➪❂

Ô

❈✸✾s❅❇✿✸➞

❙❱❿☞✻◆➀✗✻●❺❳➀❄❅❇❺s▲❀✾❀❅➒❈✸✼✸❅s❽❃✽❊✿❉❻❆❺❱❺❀✼✸➓❋❊✿❉❻Þ➑❜✼✸❻✵✻å✾s❻❆➣→✻☛❽❃●❊✻●✿☞❻❆❏➯▲✦✾s❻✵➓✸✾❀❻✴❺❀❺❆❊✻✽✿➐❻Þ➀✸❻❆❏❄❺❀❅❇➀✸✻●➀✸❻✳❂❻Þ❻➳Ö✱➓✸✾❀❻✴❺❀❺✦✻➐➓☛❻❆➣❇✻

❻❆➑❜✼✗✻✯❽❃✽❊✻●✿Û❏✗✻✘ñ✷✿●✾❀❿☞✻Þ➀✸❻➎➓✯✿❉➣➪❂

Ô

▲❀✾❀✿❉➓☛✿❉❺❆ë ➧

❲➩➨↕➫✢➭✮❦ ❫ ✞ ➞✞ ❴

✿❉❏✸➀✸❻❥➨ ❻❥➯✖❺✴❊✻●✿✚❅➒❏✸➀✸❻❆➓☛❻❆❏❄➀✸❻❆❏➯▲✦❻✴❺④➀✸✿↕✾✦✻✽❅❇✿✸ë✏❻✴❿Þ❈✯✿●✾✦✻➐➓✯✿●❺❀❺✦✻✽❿õ➀✸❻❆➓☛❻❆❏✸➀❄❻❆✾④➀❄❻☞✻✽➣

✼✸❏❄❺Ò➓✸✻●✾✔ö✻●❿Û❻✴▲❀✾❀✿❉❺

▲✦❻✴✾❀❿Û✿✱➀✸❅➒❏✟ö✻●❿Û❅❇❃✴✿❉❺❆ë✪❃❆✿❉❿Û✿Û✻✵❻❆❏➯▲✦✾s✿❉➓✸❅→✻✱ë✸➓✯✿●✾ó❻☎Ö✱❻❆❿Û➓✸➣❇✿❄➞✭◗⑦▲✦✾✦✻✰î✭❂❻❆❺❪➀✗✻✘❻❆➑❜✼✗✻✯❽❃✽❊✻●✿Û➀✸❻Òé✟✿❉❅➒❺❀❺❀✿●❏✜ë

❜❥➲

❵➵➳

❵➺➸

❲➻s✇✟✰➀⑥➼➂➫❝❦ ❫ ✞ ➞▼✦❴

❻◆➀✗✻✽❺④✾❀❻✴➣→✻✯❽❃✽❊✿❉❻❆❺

❲✹➨↕➫

ë❧➫➵❲❉➯✬♦✲➽❘❻❥❵➾❲❉➚③➪✪ë✡▲✦❻✴❿☞✿❉❺➛✻❘❺s❻

✼❄❅❇❏➯▲✦❻☞❻❆➑❜✼✗✻✯❽❃✽❊✻●✿×➀✸❅ôñ✷❻❆✾❀❻✴❏✸❃❆❅❇✻●➣➇➓✗✻●✾❀✻

❏✸✿❉❺s❺❀✿Û➓✸✾❀✿❉❈❄➣❇❻❆❿☞✻❄ë✱➀✸❻❆❏✸✿●❿☞❅➒❏✗✻●➀✗✻✘➆✭➑❜✼✗✻✯❽❃●❊✻✽✿☞➀✸❻Ò❁✡✻●❏✸❻➳Õ■➆✭❿Û➀✸❻❆❏✜ë

❜ ➲

➪✐➳

➪❛➸

❲➶s➜♦

❦ ❫

➞➶P✢❴

✿❉❏✸➀✸❻✽ë✭➓✗✻●✾❀✻✚❃✰✻●➀✸✻❘î✽✻●➣❇✿❉✾Ò➀✸❻❥➹↔ë➋▲✦❻✴✾❀❻✴❿☞✿❉❺➛➓✯✿●➣➅❂

Ô

▲❀✾❀✿❉➓☛✿❉❺➎❃❆✿●❿➝❃❆✻●✾✦✻✽❃✴▲✦❻✴✾✰❂

Ô

❺s▲✦❅➒❃✰✻●❺➛➓✯❻✴❃❆✼✸➣➒❅→✻●✾s❻❆❺❬❫✩❃❆✿●❏❄ì

✼✱Õ

✾✦✻✯❽❃✽❊✿❉❻❆❺④❃❆✿❉❿ ➀✸❻✴❏✸❺❀❅➒➀✗✻●➀✸❻å❃✴✿❉❏✸❺✇▲❼✻●❏➯▲✦❻✽ë✭❅❇❏❄ì✸❏✸❅➒▲✦✻●❺❆ë✟❃❆✿❉❿➝❿◆✻✽❺❀❺✦✻❘❅❇❏✸➀✸❻✴➓✯❻✴❏✸➀✸❻✴❏❜▲❀❻å➀✗✻✚➓❄✾❀❻❆❺s❺❆❊✻●✿➏❃✴❻❆❏➯▲✦✾❀✻●➣➪ë

❻✴▲❀❃●➞✺❴☎➞ é↔✻●✾❀✻×❻❆❺s❺❀❻➐❿Û✿✱➀✸❻✴➣❇✿❘➓✯✿❉❺s❺❀✼✜❂

Ô

❿☞✿●❺④❺❀✿●➣❇✼↔❽❃✽❊✿❉❻❆❺✘✻●❏✸✻●➣➅❂

Ô

▲✦❅❇❃❆✻●❺➎❻➐✻●➓✸✾s✿✰Ö❄❅➒❿◆✻✽➀✗✻●❺④➓✸✻●✾✦✻✚✼❄❿◆✻

✾✦✻●❏✸➀❄❻

✻●❿Û➓✸➣❇❅ô▲✦✼✸➀✸❻❨➀✸❻óî●✻✽➣❇✿❉✾s❻❆❺✭➓✗✻●✾❀✻Ò✿Û❂

Ô

❏✸➀✸❅❇❃✴❻❘➹➔❻❪➓☛✿✪➀✸❻❆❿Û✿❉❺❆ë❜❃✴✿❉❿⑩❅❇❺s❺❀✿✸ë➯✿●❈❄▲✦❻✴✾❢❅➒❏❄ñ✷✿❉✾s❿◆✻✯❽❃✽❊✿❉❻❆❺✭❃✴✿❉❿Û✿Ò❿☞✻●❺s❺✦✻❄ë

✾✦✻●❅➒✿✸ë❄➓❄✾❀❻❆❺s❺❆❊✻●✿☞❃❆❻✴❏❜▲❀✾✦✻●➣✤ë✸❻❆❏❄❻❆✾

❅→✻✵➀✸❻➎➣❇❅

✻✯❽❃●❊✻✽✿✵➓✗✻●✾✦✻✵✿❉❺❚❿☞✻●❅❇❺❨➀✸❅➒î●❻❆✾❀❺s✿❉❺❚❿☞✿✪➀✸❻✴➣❇✿❉❺⑦➀❄❻➛❻✴❺s▲✦✾s❻❆➣❇✻●❺❆➞

✼✱▲✦✾✦✻×❃✴✿❉❏❄ì

✼✸✾✦✻✯❽❃✽❊✻●✿✎❈☛❻❆❿➝❻❆❺s▲❀✼✸➀✗✻●➀✸✻➙❫➉➘●❻✰✻●❏❄❺❆ë ✞ ✌➯▼ ✧ ❴Ò✾s❻✴ñ✷❻❆✾s❻☎Õ➅❺❀❻➔✻×✼✸❿☞✻✚❻❆❺✇▲✦✾s❻❆➣→✻×❅➒❺❀✿❉➣❇✻●➀✗✻↕➑✪✼❄❻

✻●➓✸✾s❻❆❺❀❻✴❏➯▲❼✻✳❿Û✿✶î✪❅❇❿Û❻❆❏➯▲✦✿✎➀✸❻➔✾s✿●▲❼✻✯❽❃✽❊✻●✿➏❻❆❿ ▲❀✿❉✾❀❏❄✿ ➀❄✿ ❻✴❅ôÖ✱✿➏➑❜✼✸❻✚✻✔▲✦✾✦✻✰î●❻❆❺❀❺❀✻✳❺s❻❆✼➃❃❆❻❆❏➯▲❀✾❀✿✖➀❄❻↕❿☞✻●❺s❺✦✻❄➞

(11)

➙ ➙

❿◆✻✽❺❀❺✦✻✵➓☛✿❉❏➯▲✦✼✗✻✽➣➪➞➇é↔✻✽✾✦✻✘❻❆❺❀❺s❻➛❿Û✿✪➀✸❻❆➣➒✿✸ë✸✻✵❻❆➑❜✼✗✻☛❽❃●❊✻●✿Û➀✸❻➎❻❆➑❜✼✸❅➒➣➅❂

Ô

❈❄✾❀❅❇✿④ò✸❅❇➀✸✾s✿❉❺s▲✗❂✻✽▲✦❅➒❃❆✿✖❂❻➎❻☎Ö✱➓✸✾s❻❆❺s❺✦✻◆➓☛✿❉✾

❲➶s ➼❳➬

ö

❵✇s

✒➱➮✉❫

✒➱➮

❵✦❴❚➄ ❫ ✞ ➞✔✟✮❴

◗❫❺s❺❀✿✪❃❆❅→✻✽❏✸➀✸✿Û✼✸❿◆✻④ñ✷✼❄❏↔❽❃●❊✻●✿Û➓☛✿●▲✦❻✴❏✸❃❆❅❇✻●➣✜➓✗✻●✾❀✻✵❃✰✻●➀✗✻✘✼✸❿☞✻✵➀✗✻●❺⑦ñ✷✿❉✾✔❽❃✰✻●❺✴ë✸▲✦❻❆❿Û✿❉❺

❲➶s

s

➼❳➬

s

▼ ➸

✿❉✼

❲Ps✇➫

➷➾❫❺❱❳❴✶❦ ❫ ✞ ➞✕ ❴

✿❉❏✸➀✸❻❐❱➍❲❒s❥❮✓❰

sÐÏ✛Ñ

ÑÒ

❻❬❵

❲■❵↔❺s❻❆❏✇♦✱➞✳❲❨✿❉❿➝❅❇❺s❺❀✿✸ë✭➓☛✿✱➀❄❻❆❿Û✿❉❺④❻✴❏✸❃❆✿❉❏➯▲❀✾✦✻●✾✘✻●❺④❺❀✼✸➓☛❻❆✾✇ñ✇❂

Ô

❃❆❅➒❻❆❺Þ➀❄❻

➓✸✾❀❻✴❺❀❺✴❊✻●✿◆❃✴✿❉❏✸❺s▲✦✻●❏➯▲✦❻➎❈✸✼✸❺s❃✰✻●❏❄➀✸✿◆❺s✼✸➓✯❻✴✾sñ✇❂

Ô

❃❆❅❇❻✴❺❚❻❆➑❜✼✸❅❇➓☛✿●▲❀❻❆❏✸❃✴❅→✻●❅➒❺❆➞

➆➇❿ ❺❀❻✴✼✎➣❇❅ôî✱✾s✿❈Ó✖Ô③Õ✤Ö➂×➣Ø✶Ù❑Ú✲Û❅Ö♣Ü❽Ý④Ù♥Þ❩ß❁Ù✖Ý⑤Ü❐Ù✖à✓Ù♥á✛â➵ã✰á✤äåÝ❁æçÖ♣Û→Û➦ã✰Ø❨ä✛â✓á✬ã✲Ü❥è✏ß♣Ý✶é✸ë❀➘●❻❆✻●❏✸❺❣❫ ✞ ✌➯▼✛✌✛❴❪❻✴❏✪✼✪Õ

❿☞❻✴✾❀✿❉✼➔✼✸❿☞✻✵❺✪❂❻✴✾❀❅❇❻➎➀✸❻➎❃✴✿❉❏❄ì

✼❄✾✦✻✯❽❃✽❊✿❉❻❆❺

❻❆✿●❿ ❻☎▲✦✾❀❅➒❃✰✻●❺ó➓✸✻●✾✦✻✵✿❉❺❚❿☞✻●❅❇❺⑦➀❄❅➒î❉❻✴✾❀❺s✿❉❺❪î✽✻●➣➒✿❉✾❀❻✴❺ó➀✸❻❨✒❪➞❂ ❑ ✼❄▲✦✾s✿

▲✦✾❀✻●❈✗✻●➣➒ò✸✿❫❺s✿❉❈✸✾❀❻ó✿❫➓✸✾❀✿❉❈❄➣❇❻❆❿☞✻❱✾s✿●▲❼✻✽❃❆❅❇✿●❏✗✻●➣➯ñ✷✿❉❅✸✻✽➓✸✾❀❻✴❺❀❻❆❏➯▲✦✻●➀✸✿✂➓☛✿❉✾✭❲❨ò✗✻✽❏✸➀✸✾✦✻✽❺❀❻❁↔❜ò✗✻✽✾➜❫ ✞ ✌❉P❉P●✻✦❴☎ë●❃❆✿❉❿ÿ❻❆❏✱Õ

ñ✷✿✱➑❜✼✸❻❫❈✯❻✴❿①➀✸❅ôñ✷❻❆✾s❻❆❏➯▲✦❻❱➀✸✿✘✻●➓✸✾s❻❆❺❀❻✴❏➯▲❼✻●➀✸✿✵➓☛✿❉✾⑩➘●❻✰✻●❏✸❺✴ë✸➓☛✿❉❅❇❺❢❺❀❻✴✼↕✿●❈✪ðs❻✴▲❀❅➒î❉✿➛ñ✷✿❉❅✯✾s❻✴ñ✷✿❉✾s❿Þ✼✸➣❇✻●✾❨✻➛❻❆➑❜✼✗✻✯❽❃✽❊✻●✿

➀✸❻Þ❁✡✻●❏❄❻☎Õ■➆✭❿Û➀✸❻❆❿↕ë☛➆✭➑☛➞❧❫

➞➶P✢❴➳ë☛✻●➀✗✻●➓❄▲✦✻●❏✸➀✸✿✔Õ■✻Û✻●✿◆➓✸✾s✿❉❈✸➣➒❻❆❿☞✻Û✾s✿●▲❼✻●❃✴❅❇✿❉❏✸✻●➣➪➞❨é↔✻●✾✇▲✦❅❇❏❄➀✸✿☞➀✸✻●❺❫❻✴➑✪✼✸✻✯❽❃●❊✿❉❻✴❺

➀✸✿Û➓✯✿●▲❀❻❆❏✸❃✴❅→✻●➣❋❻❆❿➊❃✴✿✱✿❉✾s➀✸❻❆❏✸✻●➀✗✻●❺❚❻❆❺✇ñ✶❂❻❆✾s❅❇❃✰✻✽❺

❼❝❵ ❲➃➫

❼❚❱

❼❝❵✉ê ➫✛✒

❵✓❫ ✞ s✾❞

❴✶❦ ❫ ✞ ➞✺✸✢❴

❼✬❞ ❲➩➫

❼❚❱

❼✬❞ së➫✛✒

❞❧❦ ❫ ✞ ➞❭✴✦❴

❅❇❏➯▲✦✾s✿✱➀❄✼✸ï❆❅➒❏✸➀✸✿✽Õ❬✻●❺✏❏✗✻ó❻❆➑❜✼✗✻✯❽❃✽❊✻●✿❫➀❄❻⑥é✙✿❉❅❇❺s❺❀✿❉❏❋ë●➆✭➑✒➞❑❫ ✞ ➞➶▼✦❴☎ë✝❻➇➣❇❻☎î✽✻●❏✸➀✸✿❪❻❆❿➂❃✴✿❉❏➯▲❼✻❪✻●❺✡✾❀❻✴➣→✻✯❽❃✽❊✿❉❻❆❺

❲❻➨↕➫

ë

➫✪❲ì➯✬♦

❻➂❵④❲❻➚③➪✪ë❄▲❀❻❆❿Û✿❉❺❚✻✵❻❆➑❜✼✗✻✯❽❃✽❊✻●✿

❼✝➪✐➳

❼✬♦

❼✝➪

s

❼✬❞

s❈❞

❼❚♦

❼✬❞✄➸ ❲➻s➜♦

ê

▼✲➀⑥➼✘➯

➄ ❫

◗⑦▲✦✾❀✻✶î✭❂❻✴❺⑥➀✸❻❪✻●➣

✼✸❿☞✻●❺➋✻✽➓✸✾❀✿✰Ö✱❅❇❿☞✻✯❽❃●❊✿●❻❆❺✭❻❚✾❀❻✴❺❀✿❉➣ôî❉❻❆❏❄➀✸✿✽Õ■✻✂❏❜✼✸❿Û❻❆✾s❅❇❃✰✻✽❿☞❻✴❏❜▲❀❻●ë➯➓☛✿✱➀❄❻❆❿Û✿❉❺✭❻❆❏✸❃✴✿❉❏➯▲✦✾❀✻●✾➇➓✸✾❀✿✽Õ

➓✸✾❀❅➒❻❆➀✗✻✽➀✸❻❆❺↔ñ■❂

Ô

❺❀❅➒❃✰✻●❺✙❃❆✿❉❿Û✿❫ñ✷✿❉✾s❿◆✻✱ë✽❿☞✻●❺❀❺❀✻❄ë●î●✿❉➣❇✼✸❿Û❻●ë✽✾❀❻✴➣→✻✯❽❃✽❊✻●✿❳❻❆❏➯▲❀✾❀❻⑦➀✸❻✴❏✸❺❀❅➒➀✗✻●➀✸❻❨❿ ❻✴➀✸❅→✻❪❻⑦❃❆❻✴❏❜▲❀✾✦✻●➣✱➓✗✻●✾❀✻❂

➓✯✿●➣➅❂

Ô

▲❀✾❀✿❉➓☛✿❉❺⑥➀✸✿❉❺ó❿☞✻●❅❇❺⑦➀❄❅➒î❉❻✴✾❀❺s✿❉❺óî●✻✽➣❇✿❉✾s❻❆❺⑦➀✸❻④➹➙❫✷❏✸✿✘✻●✾s▲❀❅

✿✵✾s❻✴ñ✷❻✴✾❀❅❇➀❄✿Þñ✷✿❉✾✦✻●❿①✻●➓✸✾s❻❆❺s❻❆❏➯▲❼✻●➀✸✻●❺❱❺s✿❉➣❇✼✟❽❃●❊✿❉❻✴❺

➓✗✻●✾❀✻❣➹❀❲ ✞ ë➣í

ë☛▼✱ë✗P✵❻❳✟✮❴☎➞

◗ ➀✸❅ôñ✷❻❆✾❀❻✴❏↔❽❃✰✻❘❻❆❏➯▲✦✾s❻å✻●❺➛❺❀✿❉➣➒✼↔❽❃●❊✿❉❻✴❺④❻✴❏✸❃❆✿❉❏➯▲❀✾✦✻●➀✗✻✽❺Þ➓✯✿●✾Þ❲❨ò✗✻✽❏✸➀✸✾✦✻✽❺❀❻❁↔❜ò✗✻✽✾Þ❻◆➓☛✿❉✾î➘●❻✰✻●❏✸❺➛❻❆❺✇▲✒❂✻✚➑❜✼✸❻✽ë

❏✸✿å❿Û✿✱➀❄❻❆➣❇✿✘➀✸❻✵❲❨ò✗✻●❏✸➀✸✾❀✻●❺❀❻✷↔❜ò✗✻●✾❆ë✯ñ✷✿❉❅✡✾❀❻✰✻✽➣❇❅❇ï❆✻●➀✗✻✘✼✸❿☞✻☞❻☎Ö✪▲❀❻❆❏✸❺✴❊✻●✿➐➀✸✿❉❺❱❻❆❺s▲❀✼✸➀✸✿❉❺❫➀✸✿❉❺❫➓☛✿❉➣➪❂

Ô

▲✦✾s✿❉➓☛✿❉❺ó❻❆❿

❿☞✿✪➀✸❻✴➣❇✿❉❺❪❏✜❊✻●✿➐✾s✿●▲❼✻●❃✴❅❇✿❉❏✸✻●❅❇❺❪➓✗✻●✾❀✻◆✿❉❺❳❿Û✿✱➀❄❻❆➣❇✿●❺❫✾❀✿✽▲❼✻●❃✴❅❇✿❉❏✗✻✽❅❇❺❆➞❳❲❨ò✗✻●❏✸➀❄✾✦✻●❺s❻❁↔❜ò✗✻●✾✂❻✴❺s▲✦❻✴❏✸➀✸❻✴✼✳✿➐❻✴❺s▲✦✼❄➀✸✿

➀✸✿❉❺➐➓☛✿❉➣➪❂

Ô

▲✦✾s✿❉➓✯✿●❺◆❏✜❊✻●✿ ✻✽➓✯❻✴❏✗✻●❺➐➓✗✻●✾❀✻❾✿❾❃✰✻●❺s✿➃✾s✿●▲❼✻✽❃❆❅❇✿●❏✗✻●➣➪ë❚❿☞✻●❺◆▲✦✻●❿Þ❈⑥❂❻✴❿ ➓✗✻●✾❀✻ ✿ ➓✸✾❀✿❉❈❄➣❇❻❆❿☞✻✖➀✗✻✽❺

❿◆✻✽✾✪❂❻❆❺❡❫✤❲❨ò✗✻●❏✸➀✸✾❀✻●❺❀❻✷↔❜ò✗✻●✾❆ë ✞ ✌❉P❉P●❈✝❴➐❻➏➓✗✻✽✾✦✻❾✿ ❻❆❺s▲❀✼✸➀✸✿♦➀✸❻➏❺❀❅❇❺✇▲✦❻✴❿◆✻●❺➔❈✸❅➒❏❚❂✻●✾s❅❇✿❉❺➵❫✤❲❨ò✗✻●❏✸➀❄✾✦✻●❺s❻❁↔❜ò✗✻●✾✴ë

✞ ✌❉P❉P✽❃★❴➳➞ ❲❨✿❉❿ ❅❇❺❀❺s✿✸ë➋ñ✷✿❉❅❢➓✯✿●❺❀❺❆❂

Ô

î❉❻✴➣❨➀✸❻✴❺sî❉❻✴❏✸➀✗✻●✾✘✼✸❿☞✻❘❺✪❂❻❆✾s❅❇❻å➀✸❻◆➓✸✾❀✿❉➓❄✾❀❅❇❻✴➀✗✻●➀✸❻✴❺④ñ✇❂

Ô

❺s❅❇❃❆✻●❺➛➀✸✻●❺Þ❻❆❺✇▲✦✾s❻❆➣→✻✽❺

➓✗✻●✾❀✻❫✻●❺✙❿◆✻✽❅❇❺✏î✽✻●✾❀❅❇✻●➀✗✻●❺✡❃❆✿●❏✸❺❀❅➒➀✸❻❆✾❀✻✯❽❃●❊✿❉❻✴❺✟▲❀❻❆✾❀❿Û✿✪➀✸❅❇❏✟ö✻✽❿☞❅➒❃✰✻●❺✴➞✡é✟✿❉✾✟✿❉✼❄▲✦✾s✿❱➣❇✻●➀✸✿✸ë✔❏✸✿❪▲✦✾✦✻✽❈✗✻●➣❇ò❄✿❱➀✸❻⑩➘●❻✰✻●❏❄❺

✻●❺✖❂✼✸❏✸❅➒❃✰✻●❺❫❃❆✿❉❏✸❺s❅❇➀✸❻✴✾✦✻✯❽❃✽❊✿❉❻❆❺✂❻✴✾✦✻●❿ ✼✸❿☞✻☞ñ✷✾✦✻●❃❆✻å✿❉✼×ñ✷✿❉✾✇▲✦❻Þ❃✴✿❉❏✸❃❆❻✴❏➯▲✦✾✦✻☛❽❃●❊✻●✿↕➀✸❻Þ❿☞✻✽▲✱❂❻✴✾❀❅❇✻◆❏✸✿➐❃❆❻✴❏➯▲✦✾❀✿➔➀✗✻✽❺

❻❆❺✇▲✦✾❀❻✴➣→✻●❺✴➞

❲❨✿❉❿➊✿✵❃❆✾s❻❆❺s❃❆❻❆❏➯▲❀❻Þ✻✰î✽✻●❏↔❽❃❆✿✘➀✗✻✵◗❱❺s▲✦✾s✿❉❏✸✿❉❿Û❅→✻➛❏✗✻✵✿❉❈✸❺❀❻✴✾sî✽✻✯❽❃✽❊✻●✿✘➀✸❻✂❻❆❺✇▲✦✾❀❻✴➣→✻●❺❚❈✸❅➒❏❚❂✻●✾s❅→✻●❺⑥❻❆❃❆➣➒❅❇➓✸❺❀✻●❏➯▲✦❻✴❺

❻å❏✗✻×✿❉❈✱▲✦❻❆❏✟❽❃●❊✻●✿✎❻➔✻●❏ó❂✻●➣❇❅➒❺❀❻Û➀✸❻➐❺❀✼✗✻✽❺✵❃❆✼✸✾✇î●✻✽❺Þ➀✸❻➐➣❇✼❄ï●ë➋✿✎❻✴❺s▲✦✼❄➀✸✿➏➀✸❻❆❺s❺❀❻❆❺✘❺s❅❇❺s▲❀❻❆❿☞✻●❺Þ➓✗✻✽❺❀❺❀✿●✼♦✻↕ñ✩✻●ï❆❻✴✾

➓✗✻●✾✇▲✦❻✚➀❄✿ ❅❇❏➯▲✦❻✴✾❀❻✴❺❀❺❀❻✚➀✗✻✖❃❆✿●❿Þ✼✸❏✸❅➒➀✗✻●➀✸❻↕❃❆❅➒❻❆❏➯▲✶❂

Ô

ì✗❃✰✻❄➞ ➆✭✾✦✻✖❏❄❻❆❃❆❻✴❺❀❺✸❂✻●✾❀❅➒✿ ❻❆➣❇✻●❈✯✿●✾✦✻●✾✘❿Û✿✱➀✸❻✴➣❇✿❉❺✘▲✦❻✜❂✿❉✾❀❅➒❃❆✿❉❺

➓✗✻●✾❀✻❾✻➃✻✽❏❚❂✻●➣❇❅➒❺❀❻❘➀✗✻●❺➐✿❉❈✸❺s❻❆✾✇î●✻☛❽❃●❊✿❉❻✴❺❆ë✂✻●➓☛❻❆❺❀✻●✾➐➀✸❻✎✼✸❿☞✻ ✾❀❻✴❺s▲❀✾❀❅➒▲✦✻ ➓✸✾❀❻✴❃❆❅➒❺❆❊✻●✿ ➓☛✿❉✾◆ñ✩✻●➣ô▲❼✻✖➀✸❻✎✾s❻❆❃✴✼✸✾❀❺s✿❉❺

Referências

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