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Computação Numérica (livro en pdf)

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✑✓✒✕✔✗✖✙✘✛✚✢✜✤✣✦✥✕✘★✧✩✜✪✒✕✜✬✫✮✭✰✯✏✭✲✱✳✘✵✴✶✣✕✜✤✣✕✒✕✘★✷

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✑✓✒✕✔✗✖✙✘ ✚✢✜✤✣✦✥✕✘★✧✩✜✪✒✕✜✬✫✮✭✰✯✏✭ ✱✳✘✵✴✶✣✕✜✤✣✕✒✕✘★✷

✸✺✹✼✻

✘★✒✕✔✩✽✿✾✤❀

✁✄✂✆☎✞✝✟✁✄✂✆✠✡✝☞☛✌✂✆✍✎✝☞✏✒✑✓✂✕✔✗✖

✂✆✙✛✚✢✜✤✣✥✠✥✣✥✦✌✖✧✔✗✖✢★✗✩✫✪✭✬✌★✮✂✯✝☞✍✰✖✒✙

✱ ✂✫✔✗✖✒✙✛✖ ✱✆✲ ✂✆✠ ✲ ✣✥☎✕✖ ✱✆✳ ✂✴✔✵✝✕✝☞✦✶✠✥✣✥✁✒✝☞✏✒✑✓✂

(3)

✭✪✮✰✯✲✱✰✳✵✴✡✶✙✷ ✠

✸ ✠✪✹★✄✻✺✽✼

✳✵✴✡✾✻✿

✱❁❀ ✠✪✼❃❂❅❄

✱✽❆✻✾❇✷ ✠❉❈✵❊❋

❂●❂■❍✟✞

✴✡❀

✶✙✷

✠❏☞✎✍✑✢✤✔✥✏

✆✟✄✻✠ ❆ ☛▼▲✂◆✜❖◗P❙❘❯❚❲❱❨❳✑❩❬❘✻❭✬❱❪◆✵❱❏❫❵❴❛✕❴❝❜❞❘✻❡✝❳✑❱❨❳❞◆✟❘❇❢

✸ ✠✪✼❣❍❞✠ ✾✝✴✡✶✙✷ ✠✟☛❯❤✑❘✝✐❥P❙❦❵❧✑❡✽❘❙❧✗❱❨❡♠❱✜◆✟❦●❘✻♥❃♦♣✙✟q✟rs❧t❘✻❭✬❱❣❱❬❩✟P❙❦✙❡♠❱

✉✈✼❣❍ ❆✻✱✰✾✻✾❇✷ ✠✟☛①✇❝❘✻❡✙②❨❖④③✰❦❨❢⑤◆✟❘❯⑥❵❘❙❧✑❡✽❦✰⑦✜❡♠❱❨⑧✑❱❉❘⑨❛⑩❩❝❶■❭☎❖④❷✽❱✜③✰❸❬❘❇❢❁◆✵❱❺❹❻❳✟❖◗②■❘✻❡✻❢✝❖④◆✵❱✜◆✟❘✎◆✟❦✎❚❼❖☎❳✟❽❞❦

❂■❍✲❂✵☛▼▲✂◆✜❖◗P❙❘⑤❚❲❱❨❳✑❩❬❘✻❭✬❱❉◆✵❱✤❫❵❴❛✕❴✟❜❞❘✻❡✝❳✑❱❨❳❞◆✟❘❇❢

q r❾✺❵✆✟✼❉❂❅✼❉❂

❆✻❀

❆✻✱✽❿➀✴✡✾ ✄❇❂

❂ ❑ ✼

✱✽❆✝✴✡❀

❂■✹❼➁➂❂■✄✝➃

✼❉❂■✄

✴✡❀ ❂■✞t➄❬✠

❀✽✴✡✱ ✄✈➅✜❊

➆ ✱ ✹✟➃★✆✟✼❉❂✎❍✲❂ ❆ ✄ ✱❯✳✟✱✰✾ ✄❇❂❵❍✟✆✟➇✟✞✴✡❀ ❂ ✶✙✷ ✠➈❍❞✠ ✳✟✱✽❆❇➉❁✾✻✱✽❆①❆✻✱ ❍ ❆ ✠ ✳ ✆✟➊ ✴✡✳ ❂✵➋ ❿ ✆✲❂ ❆✻✳ ❂ ✳ ❂✎❍ ✱ ✞✡✠ ✾✝✴✡✾ ✄ ✱ ✼❉❂❣➌❆✻✱ ✄ ❆✝✴➎➍

✱ ❄➀❂■✞◗➏❬✠✪✆➐✄ ❆ ❂■✹ ✾ ✼ ✴✄ ✴✡✳ ❂ ✳✟✱❯✿ ✆✲❂■✞✿ ✆ ✱✽❆ ✼●✠ ✳ ✠➈✠✪✆➐❍❞✠ ❆✂✿ ✆✲❂■✞✿ ✆ ✱✽❆ ✠✪✆✟✄ ❆ ✠➈✼ ✱✽✴✠✟➋ ✱ ✞✱✰❀ ✄ ❆✻➑ ✹ ✴✡❀ ✠✟➋✟✼ ✱✰❀✙➒ ✹ ✴✡❀ ✠✟➋

✳✟✱⑤➓ ✠✪✄✻✠ ❀✰➑ ❍ ✴❂✵➋ ✳✟✱❵❿➀❆ ❂✰❄➀❂ ✶✙✷ ✠✟➋✲✠✪✆✤✠✪✆✟✄ ❆ ✠ ✾ ➋ ✾✻✱ ✼➔❍ ❆ ✺✽❄ ✴❂●❂■✆✟✄✻✠ ❆✝✴➊❨❂ ✶✙✷ ✠✟➋❝❍❞✠ ❆⑨✱✰✾✻❀✽❆✝✴✄✻✠✟➋ ✳ ❂❣❂■✆✟✄✻✠ ❆ ❂✵❊

☞✎✍✲✒❞→✗✧✪✩✬➣✑↔✑✖ ↕➔➙✵➛✲➛✲➜❥➝✂➙✵➛✲➛❞➞❺➟✥➠❼➡❯➟✫ ✩➢✖ ➠❼➤ ✘❝➥❥✔ ➠❬➦✘ ➟ ✘➨➧❺➩☎➫⑩➩t➭ ➠ ✧✪➥❻✘❝➥ ➟✥➠★➯

✉✝➄❬➲✂➆➵➳✜➸✪❈ ➍ ➳➀➺➀➳■➻➀➻ ➍❇➼♠➍➳ ➍①✭✪✮✰✯✲✱✰✳✵✴✡✶✙✷ ✠ ❆✻✱ ❄ ✴✡✾ ✄❇❂✵➋ ❀ ✠ ❆✝❆✝✴☎❿➀✴✡✳ ❂ ✱ ❂■✆✟✼ ✱ ✹★✄❇❂ ✳ ❂

✉✝➄❬➲✂➆➵➳✜➸✪❈ ➍ ➳➀➺➀➳■➻➀➻ ➍ ❋ ➍ ❋ ➍⑨➾✰✮✰✯✲✱✰✳✵✴✡✶✙✷ ✠★➚

➪ ✱ ❍ ➑➀✾✝✴✄✻✠●♦ ✱✽❿ ❂■✞✗✹❝➶ ✯❁➼➀➼✙➹ ➺✜➸ ➹✜➘ ➳✜➸

✴☎❆

❿✜✱

✼✤☛①❈➀❋➀❋➀❋

✱♠➴✟✱ ✼❣❍✟✞➢❂

❆✻✱✰✾⑨✱ ✼➷➪

✼✎➇

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✆✞✝ ✱✠✟☛✡

✖✌☞

✝ ✡✎✍✏✡

✖✸✝✓✂✫☎✕✖✒✑ ☎ ✝☞✍✛✣✥✔✗✂✓☞

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q

✾ ✄❇❂➐✠✪➇ ❆ ❂ ❀ ✠✪✹★✄✻✺✽✼❾❂ ✾✻✱✽❿ ✆✟✹ ✳ ❂ ✱✰✳✵✴✡✶✙✷ ✠ ❆✻✱ ❄ ✴✡✾ ✄❇❂✵➋ ❀ ✠ ❆✝❆✝✴☎❿➀✴✡✳ ❂ ✱ ❂■✆✟✼ ✱ ✹★✄❇❂ ✳ ❂ ✳ ✠➐✞✴❄ ❆ ✠ ✸ ✠✪✼❣❍✟✆✟✄❇❂ ✶✙✷ ✠

➆⑨✆✟✼●✺ ❆✝✴✡❀ ❂✵➋ ✱✰✳✵✴✄❇❂ ✳ ✠ ✱ ✼ ➼ ➳➀➳➀➺✵➋ ✱ ✆✟✼❉❂ ✳✵✴✡✾✻✿ ✆ ✱ ✄ ✱❵❀ ✠✪✼ ❂❣❂■❍✟✞✴✡❀ ❂ ✶✙✷ ✠

✠➀➆⑨✆✟✼

❄ ✱✽❆✻✾❇✷ ✠❉❈✵❊❋✜➚♠❊

q

✾ ✄ ✱ ✹❝✠✙❄✜✠●❍ ❆✻✱♠➓◗➉✪❀✽✴✠❅✄ ✱ ✼ ❀ ✠✪✼●✠❣✠✪➇✢✜ ✱✰❀ ✄ ✴❄✜✠ ✾ ➋ ✱ ✼➷❍ ❆✝✴✼ ✱✽✴☎❆ ✠❣✞☎✆ ❿ ❂ ❆ ➋✟✞✴✡✾ ✄❇❂ ❆⑩✾ ✆ ❀✽✴✹★✄❇❂■✼ ✱ ✹★✄ ✱ ✠ ❀ ✠✪✹ ➍

✱✤✣❝✳

✼❉❂■✄✻✺

❆✝✴

✾❣✿

✱❉➓

❂■✼ ❂

✳✵✴✡❀✽✴ ✠✪✹✲❂

✾✦✥

❆✝✴

✱✽✴☎❆

✱✰✳✵✴✡✶✙✷

❍❞✠

❆✧✣ ✞☎✄

✼●✠

❆✻✱✽❿➀✴✡✾ ✄❇❂

✼❉❂

✴✡✾

❂■✞❿ ✆✟✹ ✾ ❂ ❿➀❆ ❂ ✳✟✱✰❀✽✴✼ ✱ ✹★✄✻✠ ✾ ❊

✾✻✾✝✴✼✤➋ ✱❏❀ ✠✪✼ ✱✰✶ ❂■✹ ✳ ✠❲❍ ✱ ✞✡✠ ❀ ✠✪✹★✄ ✱✤✣❝✳ ✠✟➋①✹❝✠ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠❲➻❝➋ ➓✠ ✴ ❂ ✳✵✴✡❀✽✴✠✪✹✲❂ ✳ ❂✓❂ ✾ ✆✟➇ ✾✻✱✰❀✰✶✙✷ ✠➂➻❝❊❈✵❊➻

✠✪➇

❆✻✱

✠❣✼●✺✽✄✻✠

✳✟✱

✱✤★

✄✻✠✪✹❼➇✲❂

✾✻✱

✠●✹✲❂

✾⑨✳✵✴➎➓ ✱✽❆✻✱

✾✪✩

✄❇❂

❍✲❂

❂❉❂

❆✻✱✰✾ ✠✪✞☎✆

✶✙✷

✳✟✱✎✾✝✴✡✾

✼❉❂

✾⑨✳✟✱

✱✰✿ ✆✲❂ ✶✬✫❬✱✰✾ ✹ ✷ ✠❣✞✴✹ ✱ ❂ ❆✻✱✰✾ ❊

➆❯✠

❂■❍✟✁☎✄✝✆✟✞✡✠❺➸❬➋❻❂ ✾ ✹❝✠✙❄➀❂ ✾❁✾ ✆✟➇ ✾✻✱✰❀✰✶✬✫❬✱✰✾ ➸❬❊❈✵❊➸ ✱ ➸❬❊❈✵❊✭➐✄ ❆ ❂■✄❇❂■✼ ✳ ❂ ✾ ❍ ❆ ✠✪❍ ❆✝✴✡✱✰✳ ❂ ✳✟✱✰✾✎✱✰✾ ✄❇❂■✄✝✁✾ ✄ ✴✡❀ ❂ ✾

✳ ❂ ✾ ✠✪✞☎✆ ✶✙✷ ✠

✼●✠ ✳✟✱ ✞➢❂ ✶✙✷ ✠★➚ ✱❁✳ ❂❣❂■❍ ❆ ✠ ➴✵✴✼❉❂ ✶✙✷ ✠ ✳✟✱⑤➓✆✟✹ ✶✬✫❬✱✰✾ ❍ ✱✽❆✝✴✡➑❬✳✵✴✡❀ ❂ ✾ ❍ ✱ ✞➢❂❅✄✻✺ ❀ ✹ ✴✡❀ ❂ ✳ ✠ ✾ ✼❣✁☎✹ ✴✼●✠ ✾

✿ ✆✲❂ ✳✵❆ ❂ ✳ ✠ ✾ ❊

✮ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠ ➼➀➼ ✺✎✹❝✠✙❄✜✠ ✱ ✄ ❆ ❂■✄❇❂ ✳✟✱➈✱✰✿ ✆✲❂ ✶✬✫❬✱✰✾❯✳✵✴➎➓ ✱✽❆✻✱ ✹ ❀✽✴❂ ✴✡✾❵❀ ✠✪✼ ✳✟✱✽❆✝✴❄➀❂ ✳ ❂ ✾ ❍✲❂ ❆✻❀✽✴❂ ✴✡✾ ❊✰✯ ➓ ✱✽✴✄❇❂

✆✟✼❉❂ ✴✹★✄ ❆ ✠ ✳ ✆ ✶✙✷ ✠❏❂✪✠ ✾ ✼●✺✽✄✻✠ ✳ ✠ ✾ ➇✲❂ ✾✻✱ ❂ ✳ ✠ ✾❯✱ ✼ ✳✵✴➎➓ ✱✽❆✻✱ ✹ ✶ ❂ ✾✞✩ ✹ ✴✄❇❂ ✾ ❍✲❂ ❆ ❂❉❂ ❆✻✱✰✾ ✠✪✞☎✆ ✶✙✷ ✠ ✳✟✱✎✱✰✿ ✆✲❂ ✶✬✫❬✱✰✾

✳✵✴➎➓ ✱✽❆✻✱ ✹ ❀✽✴❂ ✴✡✾ ❍✲❂ ❆ ❂■➇ ➑ ✞✴✡❀ ❂ ✾ ➋▼➃ ✴❍ ✱✽❆ ➇ ➑ ✞✴✡❀ ❂ ✾❣✱➐✱ ✞☎✁☎❍✟✄ ✴✡❀ ❂ ✾ ❊✣➆⑤❂■✞❿ ✆✟✹ ✾❣❀ ❂ ✾ ✠ ✾ ➋t✄❇❂■✼✎➇❞✺✽✼ ✾✻✱ ❂■❍ ❆✻✱✰✾✻✱ ✹★✄❇❂■✼

❂■✹ ➉ ✞✴✡✾✻✱✰✾⑩✳✟✱❁❀ ✠✪✹★❄ ✱✽❆✝❿✲✱ ✹ ❀✽✴❂ ✱❵✱✰✾ ✄❇❂■➇ ✴✞✴✡✳ ❂ ✳✟✱✎✳ ✠ ✾ ✼●✺✽✄✻✠ ✳ ✠ ✾ ❊

q

✼ ✿ ✆✲❂ ✾✻✱ ✄✻✠ ✳ ✠ ✾ ✠ ✾ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠ ✾➈➓ ✠ ❆ ❂■✼ ❂ ✳✵✴✡❀✽✴✠✪✹✲❂ ✳ ✠ ✾ ✹❝✠✙❄✜✠ ✾❅✱ ✹★✆✟✹ ❀✽✴❂ ✳ ✠ ✾❣✳✟✱ ❍ ❆ ✠✪➇✟✞✱ ✼❉❂ ✾ ✹ ✷ ✠

❆✻✱✰✾ ✠✪✞☎❄ ✴✡✳ ✠ ✾ ❊

➆ ✱✰✾ ✄❇❂ ✾✻✱✽❿ ✆✟✹ ✳ ❂➂❍✲❂ ❆ ✄ ✱ ➋ ❿ ✠ ✾ ✄❇❂ ❆✝✴❂ ✳✟✱❏✱♠➴ ❍ ❆✻✱✰✾✻✾ ❂ ❆ ✠ ✾ ✼ ✱ ✆ ✾ ✼❉❂ ✴✡✾●✾✝✴✹ ❀✰✱✽❆ ✠ ✾ ❂ ❿➀❆ ❂ ✳✟✱✰❀✽✴✼ ✱ ✹★✄✻✠ ✾ ❂

✄✻✠ ✳ ✠ ✾ ✠ ✾▼➓ ✆✟✹ ❀✽✴✠✪✹ ➉■❆✝✴✠ ✾①✳ ✠ ✾ ➄ ✱✽❆ ❄ ✴✡✶ ✠ ✾①✳✟✱✞✳⑨✱ ❍ ❆ ✠ ❿➀❆ ❂ ✩ ❂ ✱✪✴ ✆✟➇✟✞✴✡❀ ❂ ✶✬✫❬✱✰✾✂✳ ❂✶✵⑨✹ ✴❄ ✱✽❆✻✾✝✴✡✳ ❂ ✳✟✱❯✳ ✠✎➁ ✴✹✟➃❝✠

✱✌✳✟✱ ✆✟✼❉❂

✼❉❂

✳✵✴☎❆✻✱✰❀ ✄❇❂❵✠✪✆

✳✵✴☎❆✻✱✰❀ ✄❇❂

✱✰✾

✱✽❆ ❂■✼

✹★❄✜✠✪✞☎❄

✴✡✳

✹✲❂

✱✰✳✵✴✡✶✙✷

✳✟✱✰✾ ✄❇❂❵✠✪➇

❆✝✴

✱✽✴☎❆

✱❼✾✻✱✽❿ ✆✟✹ ✳ ❂ ✱✰✳✵✴✡✶✬✫❬✱✰✾ ➚❣❍ ✱ ✞➢❂ ✾✝✴✼❣❍✲❂■✄ ✴❂ ✱ ✠ ✱ ✼❣❍ ✱ ✹✟➃❝✠ ✳✟✱ ✼●✠✪✹ ✾ ✄ ❆ ❂ ✳ ✠ ✾ ❊

✾ ✼ ✱ ✆ ✾ ❍✲❂ ❆ ❂■➇❞✺✽✹ ✾ ❍ ✱ ✞➢❂

❆ ❂■❍ ✴✡✳✟✱ ➊ ❀ ✠✪✼ ✿ ✆ ✱❵✱♠➴✟✱✰❀ ✆✟✄❇❂ ❆ ❂■✼ ❂➈✄❇❂ ❆✻✱♠➓ ❂ ✱ ❍ ✱ ✞➢❂ ✿ ✆✲❂■✞✴✡✳ ❂ ✳✟✱❁✳ ✠❣✄ ❆ ❂■➇✲❂■✞☎➃❝✠ ✩ ✹✲❂■✞◗❊

❂➨✄

✱✽❆

✹✲❂

✳✵✴☎❆✝✴

✜✝✠➨✆✟✼ ❂

❿➀❆

✳✟✱✰❀✽✴

✹★✄✻✠ ✼✎✆

✄✻✠

✱✰✾

✱✰❀✽✴ ❂■✞

q

✾✻❀ ✠✪✞➢❂

✳✟✱

q

❿✜✱ ✹✟➃✲❂

❆✝✴

✵⑨✹ ✴❄ ✱✽❆✻✾✝✴✡✳ ❂ ✳✟✱❲✳ ✠ ➁ ✴✹✟➃❝✠➨❍ ✱ ✞✡✠ ❂■❍❞✠ ✴✠ ✩ ✹✲❂■✹ ❀✰✱✽✴☎❆ ✠ ❀ ✠✪✹ ❀✰✱✰✳✵✴✡✳ ✠ ✥➨✱✰✳✵✴✡✶✙✷ ✠ ✳ ❂➨✠✪➇ ❆ ❂

✠✪✼❣❍✟✆✟✄❇❂ ✶✙✷ ✠

➆⑨✆✟✼●✺ ❆✝✴✡❀ ❂✵❊

(7)
(8)

✂✁☎✄

✫➀✖❨✩✝✆✑✍

q

✾ ✄ ✱ ❍ ❆ ✠ ✜ ✱✰❀ ✄✻✠ ➓✠ ✴❥✴✹ ✴✡❀✽✴❂ ✳ ✠❣✹❝✠●❂■✹❝✠❅✞✱✰❀ ✄ ✴❄✜✠ ✳✟✱❣➼ ➳➀➳✟✞ ➘ ➳■➻ ✱ ✄ ✱ ❄ ✱ ✠❣❂■❍❞✠ ✴✠ ✳ ❂ ✵⑨✹ ✴❄ ✱✽❆✻✾✝✴✡✳ ❂ ✳✟✱❁✳ ✠

➁ ✴✹✟➃❝✠❺❂■✄ ❆ ❂✰❄✜✺ ✾❅✳ ❂ ❀ ✠✪✹ ❀✰✱✰✾✻✾❇✷ ✠ ✳✟✱ ✆✟✼❉❂❏✞✴✡❀✰✱ ✹ ✶ ❂ ✾ ❂■➇ ➉ ✄ ✴✡❀ ❂✵❊

❍ ❆✝✴✹ ❀✽✴❍✲❂■✞①✼●✠✪✄ ✴❄➀❂ ✶✙✷ ✠❼❍✲❂ ❆ ❂❺❂ ✾ ✆✲❂

❆✻✱ ❂■✞✴➊❨❂ ✶✙✷ ✠ ✳✟✱ ❄ ✱ ✆ ➍✈✾✻✱✶✥ ✞➢❂ ❀ ✆✟✹✲❂ ✱♠➴✵✴✡✾ ✄ ✱ ✹★✄ ✱ ✹❝✠➈✼ ✱✽❆✻❀ ❂ ✳ ✠ ✳✟✱ ✞✴❄ ❆ ✠ ✾✌✱ ✼ ✞☎✁☎✹ ❿ ✆✲❂➈❍❞✠ ❆ ✄✝✆ ❿ ✆ ✱✰✾ ❂✵➋ ✾ ✠✪➇ ❆✻✱ ❂

✸ ✠✪✼❣❍✟✆✟✄❇❂ ✶✙✷ ✠➈➆⑨✆✟✼●✺ ❆✝✴✡❀ ❂✵➋ ✿ ✆ ✱ ❍✟✆ ✳✟✱✰✾✻✾✻✱ ✼ ✾✻✱✽❆ ✆✟✄ ✴✞✴➊❨❂ ✳ ✠ ✾①❀ ✠✪✼●✠❵✄ ✱♠➴ ✄✻✠ ✾ ✳✟✱ ❂■❍❞✠ ✴✠❵✄ ✱✰➑✪❆✝✴✡❀ ✠ ✱ ❍ ❆❇➉ ✄ ✴✡❀ ✠

✹✲❂❅✞✱✰❀✰❀✽✴✠✪✹✲❂ ✶✙✷ ✠ ✳✟✱❵✳✵✴✡✾✻❀✽✴❍✟✞✴✹✲❂ ✾ ✹ ✱✰✾ ✄ ✱✎➒ ✼✎➇ ✴✄✻✠✟❊

❑ ✸

✠✪✼❣❍✟✆✟✄❇❂ ✶✙✷ ✠❏➆⑨✆✟✼●✺ ❆✝✴✡❀ ❂❪✄ ✱ ✼ ❀ ✠✪✼●✠ ✩ ✼ ❂ ❆✻✱✰✾ ✠✪✞☎✆ ✶✙✷ ✠➐✹★✆✟✼●✺ ❆✝✴✡❀ ❂ ✳✟✱ ❍ ❆ ✠✪➇✟✞✱ ✼❉❂ ✾ ✼❉❂■✄ ✱ ✼ ➉❨➍

✄ ✴✡❀ ✠ ✾ ❊ ✮ ✾ ✼ ✱✽✴✠ ✾ ✆✟✄ ✴✞✴➊❨❂ ✳ ✠ ✾ ❍✲❂ ❆ ❂❉❂■✞❀ ❂■✹ ✶ ❂ ❆❯✱✰✾ ✄ ✱ ✩ ✼ ✾❇✷ ✠●✠ ✾ ✼●✺✽✄✻✠ ✳ ✠ ✾ ✹★✆✟✼●✺ ❆✝✴✡❀ ✠ ✾ ➋✲✠ ✾⑩❀ ✠ ❆✝❆✻✱✰✾ ❍❞✠✪✹ ➍

✳✟✱ ✹★✄ ✱✰✾ ❂■✞❿ ✠ ❆✝✴✄✝✼●✠ ✾❯✱ ❂ ✾ ✆✲❂ ✴✼❣❍✟✞✱ ✼ ✱ ✹★✄❇❂ ✶✙✷ ✠❉❍ ❆❇➉ ✄ ✴✡❀ ❂❅✹❝✠ ❀ ✠✪✼❣❍✟✆✟✄❇❂ ✳ ✠ ❆ ❊

➆⑤❂⑩➇✲❂

✾✻✱✂✳✟✱✰✾ ✄❇❂

➓ ✱✽❆✝❆ ❂■✼

✹★✄❇❂

✱✰✾

❂ ❑ ✹

✴✡✾✻✱ ➆⑨✆✟✼●✺

❆✝✴✡❀ ❂✵❊ ❑

✳✟✱ ✩

✴✡✶✙✷

✳✟✱ ❑ ✹

✴✡✾✻✱ ➆⑨✆✟✼●✺

❆✝✴✡❀

✄✻✠ ❆ ✹❝✠✪✆ ➍✈✾✻✱ ➋✕➃❝✠ ✜ ✱❉✱ ✼ ✳✵✴❂✵➋✕✆✟✼❉❂ ✿ ✆ ✱✰✾ ✄ ✷ ✠ ✩ ✞✡✠ ✾✻➑ ✩✲❀ ❂✵❊

✾ ✄ ✱✽❆ ✼●✠ ✾ ❂■❍ ❆ ✠ ➴✵✴✼❉❂ ✶✙✷ ✠✟➋t❍ ❆✻✱✰❀✽✴✡✾❇✷ ✠✟➋ ✱✽❆✝❆ ✠ ✾ ➋

❂ ❆✝❆✻✱✰✳ ✠✪✹ ✳ ❂■✼ ✱ ✹★✄✻✠ ✾❁✱ ❂ ❆✝✴✄✝✼●✺✽✄ ✴✡❀ ❂ ✳ ✠ ❀ ✠✪✼❣❍✟✆✟✄❇❂ ✳ ✠ ❆ ✄ ✱ ✼ ✾✝✴✡✳ ✠❉✆ ✾ ❂ ✳ ✠ ✾ ✹❝✠●❍✲❂ ✾✻✾ ❂ ✳ ✠❉❍✲❂ ❆ ❂❪❂ ✳✟✱ ✩ ✹ ✴☎❆ ❊

➆❯✠ ✱ ✹★✄❇❂■✹★✄✻✠✟➋t❂ ❀ ✄✝✆✲❂■✞☎✼ ✱ ✹★✄ ✱ ➋ ✜ ➉ ✹ ✷ ✠ ✾❇✷ ✠ ✾ ✆ ✩✲❀✽✴✡✱ ✹★✄ ✱✰✾ ✆✟✼❉❂❏❄ ✱ ➊ ✿ ✆ ✱●❀ ❂ ❆ ❂ ❀ ✄ ✱✽❆✝✴➊❨❂■✼❾✆✟✼❉❂➐❍ ✱✰✿ ✆ ✱ ✹✲❂

❍✲❂ ❆ ✄ ✱❯✳ ❂ ✿ ✆ ✴✞✡✠ ✿ ✆ ✱ ✺ ✱✰✾ ✄✝✆ ✳ ❂ ✳ ✠ ✱ ✼

✹ ➉ ✞✴✡✾✻✱ ➆⑨✆✟✼●✺ ❆✝✴✡❀ ❂✵❊

✾✻✾✝✴✼✤➋★✆✟✼❉❂ ✳✟✱ ✩ ✹ ✴✡✶✙✷ ✠✡✠✂✼❉❂ ✴✡✾ ❆✻✱✰❀✰✱ ✹★✄ ✱ ✺➀☛

❳✌☞❨❭☎❖✡❢✽❘✎✍➈❩✪♥✑✏✻❡✝❖④❷✽❱✂✏⑤❦➈❘❇❢✙P✝❩❬◆✟❦❅◆✟❦❨❢⑨❱❨❭➎⑦✟❦✙❡✝❖◗P④♥➐❦❨❢▼❧✗❱❨❡♠❱❣❱❵❡✽❘❇❢✽❦✙❭◗❩❬③✓✒✜❦❅◆✟❘ ❧✑❡✽❦❬❶■❭④❘✻♥❪❱■❢✌♥❪❱❬P❙❘✻♥✔☞✖✕

P④❖④❷✰❦❨❢❵❷✰❦✙❳✑P✘✗☎❳✑❩❬❦❨❢✚✙✜❊

✸ ✠✪✼●✠ ✾✻✱ ❄ ✱✽❆✝✴✩✲❀ ❂✵➋ ❂ ✱✰✾✻✾ ✱ ✹ ❀✽✴❂ ✳ ✠❼✄ ❆ ❂■➇✲❂■✞☎➃❝✠ ✳✟✱✰✾✻✱ ✹★❄✜✠✪✞☎❄ ✴✡✳ ✠❺❍ ✱ ✞➢❂ ❑ ✹ ➉ ✞✴✡✾✻✱ ➆⑨✆✟✼●✺ ❆✝✴✡❀ ❂❼✺❪✠➂❂■✞➍

❿ ✠ ❆✝✴✄✝✼●✠✟❊ ✯ ❀ ✞➢❂ ❆ ✠ ✿ ✆ ✱ ➋ ❆✻✱ ✞➢❂ ❀✽✴✠✪✹✲❂ ✳ ✠ ✾❣❀ ✠✪✼ ✠➂❂■✞❿ ✠ ❆✝✴✄✝✼●✠ ✱✰✾ ✄ ✷ ✠❲❂ ✴✡✳✟✱ ✹★✄ ✴✩✲❀ ❂ ✶✙✷ ✠ ✱ ✠ ✱✰✾ ✄✝✆ ✳ ✠ ✳ ❂

❍ ❆ ✠✪❍✲❂ ❿ ❂ ✶✙✷ ✠ ✳ ✠ ✾❯✱✽❆✝❆ ✠ ✾⑤✳✟✱ ❂ ❆✝❆✻✱✰✳ ✠✪✹ ✳ ❂■✼ ✱ ✹★✄✻✠✟❊

✞✡✺✽✼ ✳✵✴✡✾✻✾ ✠✟➋✲❍✲❂ ❆ ❂➐❂❣✼❉❂ ✴✠ ❆ ❍✲❂ ❆ ✄ ✱➈✳ ✠ ✾ ❍ ❆ ✠✪➇✟✞✱ ✼❉❂ ✾

✼❉❂■✄ ✱ ✼ ➉ ✄ ✴✡❀ ✠ ✾ ✹ ✷ ✠❏✺❣❍❞✠ ✾✻✾ ✁☎❄ ✱ ✞ ❀ ❂■✞❀ ✆✟✞➢❂ ❆✎✾ ✠✪✞☎✆ ✶✬✫❬✱✰✾❁✱♠➴ ❂ ❀ ✄❇❂ ✾ ❊

❑ ❑

✹ ➉ ✞✴✡✾✻✱ ➆⑨✆✟✼●✺ ❆✝✴✡❀ ❂ ❀ ❂■✞❀ ✆✟✞➢❂✤❂■❍ ❆ ✠ ➍

➴✵✴✼❉❂ ✶✬✫❬✱✰✾ ❂ ✿ ✆✲❂■✹★✄ ✴✡✳ ❂ ✳✟✱✰✾●✳✟✱✰✾✻❀ ✠✪✹✟➃ ✱✰❀✽✴✡✳ ❂ ✾ ❊ ✮ ✠✪➇✢✜ ✱✰❀ ✄ ✴❄✜✠ ✳ ❂ ❑ ✹ ➉ ✞✴✡✾✻✱ ➆⑨✆✟✼●✺ ❆✝✴✡❀ ❂➂✺ ✳✟✱✰✾✻✱ ✹★❄✜✠✪✞☎❄ ✱✽❆

❂■✞❿ ✠ ❆✝✴✄✝✼●✠ ✾①✿ ✆ ✱⑨❀ ❂■✞❀ ✆✟✞✱ ✼ ❂■❍ ❆ ✠ ➴✵✴✼❉❂ ✶✬✫❬✱✰✾ ✆ ✾ ❂■✹ ✳ ✠❵❍ ❆ ✠ ❀✰✱✰✾✻✾ ✠ ✾▼❆ ❂■❍ ✴✡✳ ❂■✼ ✱ ✹★✄ ✱⑤❀ ✠✪✹★❄ ✱✽❆✝❿✜✱ ✹★✄ ✱✰✾ ❊

✱✰✾ ✄ ✱

✄ ✴❍❞✠ ✳✟✱ ❂■✞❿ ✠ ❆✝✴✄✝✼●✠ ✾✌✱✰✾ ✄ ✷ ✠➈❂ ✾✻✾ ✠ ❀✽✴❂ ✳ ✠ ✾ ✠✪✆✟✄ ❆ ✠ ✾✂✱✽❆✝❆ ✠ ✾ ➋ ❀ ✠✪✼●✠❅✠ ✾①✳✟✱ ✄ ❆ ✆✟✹ ❀ ❂■✄✝✆ ❆ ❂ ✱❯✳✟✱⑨✳✵✴✡✾✻❀✽❆✻✱ ✄ ✴➊❨❂ ✶✙✷ ✠✟❊

➆⑤❂

✳✟✱ ✩

✴✡✶✙✷ ✠❉❂

❀✽✴ ✼❉❂

✳✵✴✡❀

❂❅✹

✠●✺

➓✱✽✴ ✄❇❂

❆✻✱♠➓ ✱✽❆ ✱

❀✽✴

✳✵✴☎❆✻✱✰❀ ✄❇❂

✥➈✴ ✼❣❍✟✞

✹★✄❇❂

✶✙✷

✳✟✱✰✾✻✾✻✱✰✾ ❂■✞

❆✝✴

✼●✠ ✾ ✹❝✠ ❀ ✠✪✼❣❍✟✆✟✄❇❂ ✳ ✠ ❆ ❊✜✛ ✴❂■➇ ✴✞✴✡✳ ❂ ✳✟✱ ➋ ✱ ✩✲❀✽✴✱ ✹ ❀✽✴❂ ✱✣✢✲✱♠➴✵✴➇ ✴✞✴✡✳ ❂ ✳✟✱❪✾❇✷ ✠❼✠✪➇✢✜ ✱✰❀ ✄ ✴❄✜✠ ✾ ❂✤❂■✄ ✴✹ ❿➀✴☎❆ ✹ ✱✰✾ ✄❇❂

➓❂ ✾✻✱ ➋ ✱ ✹★✄ ❆✻✱ ✠✪✆✟✄ ❆ ✠ ✾ ❊

❑ ✸ ✠✪✼❣❍✟✆✟✄❇❂ ✶✙✷ ✠❵➆⑨✆✟✼●✺ ❆✝✴✡❀ ❂❯✆ ✾ ❂⑤❂ ❑ ✹ ➉ ✞✴✡✾✻✱ ➆⑨✆✟✼●✺ ❆✝✴✡❀ ❂ ✱ ✠ ❀ ✠✪✼❣❍✟✆✟✄❇❂ ✳ ✠ ❆ ❍✲❂ ❆ ❂ ✳✟✱✰✾✻✱ ✹★❄✜✠✪✞☎❄ ✱✽❆ ✼●✺ ➍

✄✻✠

✹★✆✟✼●✺

❆✝✴✡❀

✾✂✱

✾ ❀

❆✝❆✻✱✰✾ ❍❞✠✪✹

✳✟✱ ✹★✄

✱✰✾ ❂■✞

❆✝✴ ✄✝✼●✠

✳✵✴✩✲❀ ❂■✹

✾✂✱

✾✻✱✽❿

✴✡✳ ❂❵❍✲❂

❂❁✄

✱✽❆

✹✲❂

✤✦✥★✧✪✩✫✧✖✬✮✭✦✯✱✰✲✯✱✳✦✴✪✯✶✵✮✷✖✬✸✴✪✯✺✹✻✯✱✼✖✵✪✽✳✦✽✾✿✵❀✾❁✰❂✩❄❃✪❅❆✯✱✭✦✽❇❉❈❁❊✮❋●✵✖❈❁❊❍✻■❏✽■✶✷▲❑◆▼✘❋P❖◗✩P❘❂❙❚❑✟✷✻✩❄✾✚❯✓✯✶❅❲❱✻✭✦✾❲✹✻✯❲❳❉❨✿❨✓❩❬✧

(9)

✹✲❂ ➓❂ ✾✻✱➈✳✟✱➈✴✼❣❍✟✞✱ ✼ ✱ ✹★✄❇❂ ✶✙✷ ✠✤✹❝✠ ❀ ✠✪✼❣❍✟✆✟✄❇❂ ✳ ✠ ❆✎✱ ❂■✹ ➉ ✞✴✡✾✻✱❅✳ ✠ ✾⑤❆✻✱✰✾ ✆✟✞☎✄❇❂ ✳ ✠ ✾ ❊

✞✴❄ ❆ ✠ ✳✟✱✰✾✻✱ ✹★❄✜✠✪✞☎❄ ✱♠➍✈✾✻✱

❂✪✠❪✞✡✠✪✹ ❿ ✠ ✳✟✱✰✾ ✄❇❂ ✾ ✄ ❆ ✱✰✾ ❄ ✱✽❆ ✄ ✱ ✹★✄ ✱✰✾ ❊

❍ ❆✝✴✼ ✱✽✴☎❆ ❂✵➋✗✺ ❀ ✠✪➇ ✱✽❆ ✄❇❂❪❍ ✱ ✞➢❂➐❂■❍ ❆✻✱✰✾✻✱ ✹★✄❇❂ ✶✙✷ ✠ ✳ ✠ ✾ ✼●✺✽✄✻✠ ✳ ✠ ✾ ✹★✆ ➍

✼●✺

❆✝✴✡❀

✾✻✱

✱✰❀✰❀✽✴ ✠✪✹✲❂

✾❯❀

✠✪✼●✠❉✼❉❂

✴✡✾❯✱ ✩✲❀✽✴✡✱ ✹★✄

✱✰✾⑤✱❁✱✰✾

✱✽✴✡✾ ✹✲❂

❆✻✱✰✾ ✠✪✞☎✆

✶✙✷

✳✟✱ ✆✟✼

✠✪✹✻✜ ✆✟✹★✄✻✠❉✼✎✆

✄✻✠

❄➀❂ ❆✝✴❂ ✳ ✠ ✳✟✱ ❍ ❆ ✠✪➇✟✞✱ ✼❉❂ ✾ ✼❉❂■✄ ✱ ✼ ➉ ✄ ✴✡❀ ✠ ✾ ❊

✾✻✱✽❿ ✆✟✹ ✳ ❂❣❄ ✱✽❆ ✄ ✱ ✹★✄ ✱ ✺ ❀ ✠✪✹ ✾✻✱✽❿ ✆ ✴✡✳ ❂●❍ ✱ ✞➢❂ ✳✟✱✰✾✻❀✽❆✝✴✡✶✙✷ ✠❪❂■✞❿ ✠ ➍

❆ ✁☎✄✝✼ ✴✡❀ ❂ ✱ ✼ ✴✹★✆ ❀✽✴✠ ✾ ❂ ✳ ✠ ✾ ✼●✺✽✄✻✠ ✳ ✠ ✾ ❂■❍ ❆✻✱✰✾✻✱ ✹★✄❇❂ ✳ ✠ ✾ ❊ ❑ ✠❺✄✻✠ ✳ ✠✟➋ ✾❇✷ ✠ ✾✻✱✰✾✻✾✻✱ ✹★✄❇❂ ✱ ✆✟✼ ❂■✞❿ ✠ ❆✝✴✄✝✼●✠ ✾ ➋

✳✵✴✡✾

❆✝✴ ➇✟✆✟✁

❍❞✠

✹❝✠✙❄

✱➈❀ ❂■❍✟✁☎✄✝✆✟✞✡✠

q

❂■❍✟✁☎✄✝✆✟✞✡✠

✱♠➴✵✴✡✾

✆✟✼❉❂

✾✻✱✰❀✰✶✙✷

✠✪✼ ✠❣✁☎✹

✳✵✴✡❀✰✱➈✳

❂■✞

❿ ✠ ❆✝✴✄✝✼●✠ ✾ ❂■✁ ✳✟✱✰✾✻✱ ✹★❄✜✠✪✞☎❄ ✴✡✳ ✠ ✾✌✱ ✆✟✼❉❂ ✳✟✱✰✾✻❀✽❆✝✴✡✶✙✷ ✠ ✾ ✆ ❀✽✴✹★✄❇❂ ✳ ✠ ✿ ✆ ✱⑨❀ ❂ ✳ ❂❁✆✟✼ ➓ ❂■➊✜❊ ✴ ✠ ❆ ✩ ✼✤➋✵❂❵❄ ✱✽❆ ✄ ✱ ✹★✄ ✱

✿ ✆ ✱❪❀ ✠✪✹ ✾✝✴✡✾ ✄ ✱ ✹✲❂ ✴✼❣❍✟✞✱ ✼ ✱ ✹★✄❇❂ ✶✙✷ ✠ ✳ ✠ ✾ ❂■✞❿ ✠ ❆✝✴✄✝✼●✠ ✾ ✺➐❂■✄ ✴✹ ❿➀✴✡✳ ❂➂❂■✄ ❆ ❂✰❄✜✺ ✾●✳ ❂ ✾ ✆✲❂ ❀ ✠ ✳✵✴✩✲❀ ❂ ✶✙✷ ✠ ✱ ✼

✂✁✄✁ ❊ ❑ ❂■❍✟✞✴✡❀ ❂ ✶✙✷ ✠ ❆✻✱✰✾ ✆✟✞☎✄❇❂■✹★✄ ✱✎➓✆✟✹ ❀✽✴✠✪✹✲❂ ✱ ✼s❂■✼✎➇ ✴✡✱ ✹★✄ ✱✆☎ ✴✹ ✳ ✠ ★⑩✾❵✱✎✱✰✾ ✄ ➉ ❍ ❆✻✱✰✾✻✱ ✹★✄ ✱ ✹✲❂ ✳✵✴✡✾✻✿ ✆ ✱ ✄ ✱

✿ ✆ ✱ ❂ ❀ ✠✪✼❣❍✲❂■✹✟➃✲❂❣✠✎✞✴❄ ❆ ✠✟❊✞✝ ➉■❆✝✴✠ ✾✌✱♠➴✟✱ ✼❣❍✟✞✡✠ ✾✌✾❇✷ ✠ ➓✠ ❆ ✹ ✱✰❀✽✴✡✳ ✠ ✾ ➋ ✱ ✼ ❀ ❂ ✳ ❂ ❀ ❂■❍✟✁☎✄✝✆✟✞✡✠✟➋✵❍✲❂ ❆ ❂ ✱♠➴✟✱ ✼❣❍✟✞✴✩✟➍

❀ ❂ ❆ ✠ ✾⑨❆✻✱✰✾ ✆✟✞☎✄❇❂ ✳ ✠ ✾ ✠✪➇✟✄ ✴✡✳ ✠ ✾ ❍ ✱ ✞➢❂ ✾⑨❆ ✠✪✄ ✴✹✲❂ ✾ ❊

✠●✄✻✠ ✳ ✠✟➋ ✾❇✷ ✠ ❀✽✴✹ ✿ ✆ ✱ ✹★✄❇❂ ✱✎✳ ✆✲❂ ✾⑨❆ ✠✪✄ ✴✹✲❂ ✾ ✹★✆✟✼●✺ ❆✝✴✡❀ ❂ ✾ ❊

❑ ❍✲❂ ❆ ✄ ✴☎❆❯✳ ✠❣✁☎✹ ✳✵✴✡❀✰✱ ✺❵❍❞✠ ✾✻✾ ✁☎❄ ✱ ✞ ✴✡✳✟✱ ✹★✄ ✴✩✲❀ ❂ ❆ ✠❣✹❝✠✪✼ ✱✎✳✟✱❁❀ ❂ ✳ ❂ ❆ ✠✪✄ ✴✹✲❂ ✱ ✠❣✼●✺✽✄✻✠ ✳ ✠ ✿ ✆ ✱ ✞☎➃ ✱✎❀ ✠ ❆✝❆✻✱✰✾ ➍

❍❞✠✪✹ ✳✟✱ ❊

✳✟✱✰✾✝✴☎❿ ✹✲❂ ✶✙✷ ✠ ✳✟✱✎❀ ❂ ✳ ❂ ❆ ✠✪✄ ✴✹✲❂●✺ ❀ ✠✪✼❣❍❞✠ ✾ ✄❇❂❅❍❞✠ ❆⑨✾✻✱✽✴✡✾ ✞✱ ✄ ❆ ❂ ✾

✱♠➴✟❀✰✱ ❍✟✄✻✠●✹★✆✟✼ ❀ ❂ ✾ ✠★➚ ✱❁✱✰✾ ✄ ➉

❆✻✱ ✞➢❂ ❀✽✴✠✪✹✲❂ ✳ ❂ ❀ ✠✪✼ ✠✎✼●✺✽✄✻✠ ✳ ✠❅❂ ✿ ✆ ✱⑨❀ ✠ ❆✝❆✻✱✰✾ ❍❞✠✪✹ ✳✟✱ ❂ ✴✼❣❍✟✞✱ ✼ ✱ ✹★✄❇❂ ✶✙✷ ✠✟❊ ✯➨✼ ✴✹✟➃✲❂ ❀ ✠✪✹★❄ ✴✡❀✰✶✙✷ ✠ ✳✟✱❯✿ ✆ ✱

✱✰✾ ✄ ✱ ✞✴❄ ❆ ✠ ✱ ✹ ❀ ✠ ❆ ❂ ✜✻❂ ❆❇➉ ✠ ✱✰✾ ✄✝✆ ✳ ❂■✹★✄ ✱ ❂❵✆✟✄ ✴✞✴➊❨❂ ❆ ✠ ✾ ❀ ✠✪✼❣❍✟✆✟✄❇❂ ✳ ✠ ❆✻✱✰✾ ✹✲❂ ❆✻✱✰✾ ✠✪✞☎✆ ✶✙✷ ✠✎✹★✆✟✼●✺ ❆✝✴✡❀ ❂ ✳✟✱ ✆✟✼❉❂

❿➀❆ ❂■✹ ✳✟✱ ❄➀❂ ❆✝✴✡✱✰✳ ❂ ✳✟✱✎✳✟✱ ❍ ❆ ✠✪➇✟✞✱ ✼❉❂ ✾ ✼❉❂■✄ ✱ ✼ ➉ ✄ ✴✡❀ ✠ ✾ ❊

✼❉❂■✄✻✺ ❆✝✴❂ ❀ ✠✪➇ ✱✽❆ ✄❇❂✤❍ ✱ ✞✡✠✤✞✴❄ ❆ ✠✤❍❞✠ ✳✟✱❉✾✻✱✽❆ ✞✱✰❀✰❀✽✴✠✪✹✲❂ ✳ ❂❺❂❺❂■✞☎✆✟✹❝✠ ✾➈✳ ❂ ✾ ♦ ✴✡❀✰✱ ✹ ❀✽✴❂■✄✝✆ ❆ ❂ ✾❣✱ ✼

q

✹ ➍

❿✜✱ ✹✟➃✲❂ ❆✝✴❂ ✱ ✸ ✴✱ ✹ ❀✽✴❂✵➋ ✱ ✼ ✳✵✴✡✾✻❀✽✴❍✟✞✴✹✲❂ ✾❅✳ ✠ ➒ ✼✎➇ ✴✄✻✠ ✳ ✠ ✾ ❚ ✏❨P❙❦❬◆✟❦❨❢ ✍➈❩✪♥✑✏✻❡✝❖④❷✰❦❨❢ ✱❉❀ ✠ ❆✝❆✻✱✰✾ ❍❞✠✪✹ ✳✟✱ ➋✕✹❝✠

✼❣✁☎✹ ✴✼●✠✟➋★❂ ✳ ✆✲❂ ✾t✳✵✴✡✾✻❀✽✴❍✟✞✴✹✲❂ ✾▼✾✻✱ ✼ ✱✰✾ ✄ ❆ ❂ ✴✡✾ ❊✠✟ ➉ ➋✜❂ ✾✻✾✝✴✼✤➋✜❂■✞☎✄ ✱✽❆ ✹✲❂■✄ ✴❄➀❂ ✾ ❍✲❂ ❆ ❂⑤❂ ✳✟✱ ✩ ✹ ✴✡✶✙✷ ✠ ✳ ✠ ❀ ✠✪✹★✄ ✱✤✣❝✳ ✠

❍ ❆ ✠ ❿➀❆ ❂■✼ ➉ ✄ ✴✡❀ ✠ ✳ ❂ ✾▼✳✵✴✡✾✻❀✽✴❍✟✞✴✹✲❂ ✾▼✾✻✱ ✼ ✱✰✾ ✄ ❆ ❂ ✴✡✾ ❊

✾ ❂ ✾✻✾ ✆✟✹★✄✻✠ ✾✕➓✠ ❆ ❂■✼ ✳✵✴✡✾ ✄ ❆✝✴➇✟✆✟✁✳ ✠ ✾ ❍❞✠ ❆▼✳✟✱ ➊

❂■❍✟✁☎✄✝✆✟✞✡✠ ✾ ☛

➼ ❊

q

❆✝❆ ✠ ✾⑨✱❵✱✰✾ ✄❇❂■➇ ✴✞✴✡✳ ❂ ✳✟✱

❈✵❊⑨➄❬✠✪✞☎✆

✶✙✷

✳✟✱ ✆✟✼❉❂

✱✰✿ ✆✲❂

✶✙✷ ✠❣✹

✠❣✞

✞✵❊⑨➄ ✴✡✾ ✄ ✱ ✼❉❂ ✾⑨✳✟✱❵✱✰✿ ✆✲❂ ✶✬✫❬✱✰✾ ✞✴✹ ✱ ❂ ❆✻✱✰✾

➻❝❊⑨➄ ✴✡✾ ✄ ✱ ✼❉❂ ✾⑨✳✟✱❵✱✰✿ ✆✲❂ ✶✬✫❬✱✰✾ ✹ ✷ ✠❅✞✴✹ ✱ ❂ ❆✻✱✰✾

➹ ❊✡✝ ❂■✞✡✠ ❆✻✱✰✾⑨✱ ❄ ✱✰❀ ✄✻✠ ❆✻✱✰✾ ❍ ❆✻➑ ❍ ❆✝✴✠ ✾⑨✳✟✱ ✼❉❂■✄ ❆✝✴➊ ✱✰✾

➺✵❊✌✉✈✹★✄ ✱✽❆ ❍❞✠✪✞➢❂ ✶✙✷ ✠●❍❞✠✪✞✴✹❝✠✪✼ ✴❂■✞

➸❬❊

❍ ❆ ✠ ➴✵✴✼❉❂ ✶✙✷ ✠ ✳ ✠ ✾ ✼❣✁☎✹ ✴✼●✠ ✾⑨✿ ✆✲❂ ✳✵❆ ❂ ✳ ✠ ✾

✭✵❊✌✉✈✹★✄ ✱✽❿➀❆ ❂ ✶✙✷ ✠●✹★✆✟✼●✺ ❆✝✴✡❀ ❂

➳✵❊

q

✿ ✆✲❂ ✶✬✫❬✱✰✾⑨✳✵✴➎➓✱✽❆✻✱ ✹ ❀✽✴❂ ✴✡✾ ✠ ❆✻✳✵✴✹ ➉■❆✝✴❂ ✾

❋✵❊ ✮ ❍✟✄

➊❨❂

✶✙✷ ✠❉✹

✠❅✞

❆⑨✾✻✱

❆✻✱✰✾

❆✝✴✡✶✬✫❬✱✰✾

✱ ✹ ✳ ✠ ❀ ✠✪✼●✠✌✹ ✱✰❀✰✱✰✾✻✾✝✴✡✳ ❂ ✳✟✱ ❂ ✾ ❂■✄ ✴✡✾ ➓ ❂ ✶✙✷ ✠ ✳ ❂ ✾ ✄ ❆ ✱✰✾ ❄ ✱✽❆ ✄ ✱ ✹★✄ ✱✰✾ ❂ ❀✽✴✼❉❂ ❆✻✱♠➓ ✱✽❆✝✴✡✳ ❂ ✾ ➋ ✳ ✆ ❆ ❂■✹★✄ ✱ ❂ ✱✰✾✻❀✽❆✝✴✄❇❂

✳✟✱✰✾

❂■✼ ❂

✳✟✱

✾⑩✾✻✱✽❿

✹★✄

✱✰✾ ✠✪➇✢✜

✱✰❀

❄✜✠

❂ ✾✻✱ ✞✱✰❀✰✶✙✷ ✠ ✳ ❂➈✼❉❂■✄✻✺ ❆✝✴❂✵➋❝❂ ✾ ✆✲❂➈✠ ❆✝❿ ❂■✹ ✴➊❨❂ ✶✙✷ ✠✟➋✲❂❅❂■❍ ❆✻✱✰✾✻✱ ✹★✄❇❂ ✶✙✷ ✠✟➋✲✠ ❀ ✠✪✹★✄ ✱✤✣❝✳ ✠ ✱ ✠ ✳✟✱ ✄❇❂■✞☎➃ ✱❵✳✟✱♠➍

❄ ✱✽❆✝✴❂■✼ ✠ ❆✝✴☎❿➀✴✹✲❂ ❆ ✆✟✼ ✱ ✞✱ ✼ ✱ ✹★✄✻✠ ✳✟✱⑨✱✰✾ ✄✝✆ ✳ ✠ ❆ ❂■➊✙✠✜❂✰❄ ✱ ✞☎✼ ✱ ✹★✄ ✱⑤❀ ✠✪✼❣❍✟✞✱ ✄✻✠✟➋ ✿ ✆ ✱①➓ ✠ ✾✻✾✻✱✂➓ ❂ ❀✽✴✞☎✼ ✱ ✹★✄ ✱

❀ ✠✪✼❣❍ ❆✻✱✰✱ ✹ ✳✵✴✡✳ ✠❵❍❞✠ ❆✕✱✰✾ ✄✝✆ ✳ ❂■✹★✄ ✱✰✾t✳ ❂ ✾ ♦ ✴✡❀✰✱ ✹ ❀✽✴❂■✄✝✆ ❆ ❂ ✾▼✱ ✼

q

(10)

✠ ✳✟✱✰✾✻✱ ✹★❄✜✠✪✞☎❄ ✴✼ ✱ ✹★✄✻✠ ✳ ✠ ✾ ❂■✞❿ ✠ ❆✝✴✄✝✼●✠ ✾❁✳✟✱ ❄ ✱✽❆✝✴❂❉❍ ✱✽❆ ✼ ✴✄ ✴☎❆ ❂✪✠ ✾⑤✱✰✾ ✄✝✆ ✳ ❂■✹★✄ ✱✰✾ ❂ ✴✼❣❍✟✞✱ ✼ ✱ ✹★✄❇❂ ✶✙✷ ✠

❆❇➉ ❍ ✴✡✳ ❂ ✳ ✠ ✾ ✼●✺✽✄✻✠ ✳ ✠ ✾ ➋✌✆ ✾ ❂■✹ ✳ ✠ ✿ ✆✲❂■✞✿ ✆ ✱✽❆➐✳ ❂ ✾ ✞✴✹ ❿ ✆✲❂ ❿✜✱ ✹ ✾❏✿ ✆ ✱ ✄ ✴❄ ✱✰✾✻✾✻✱ ✼ ❂■❍ ❆✻✱ ✹ ✳✵✴✡✳ ✠✟❊ ✮

✳✟✱ ✄❇❂■✞☎➃ ✱⑩❀ ✠✪✼ ✿ ✆ ✱ ✠ ✾ ❂■✞ ❿ ✠ ❆✝✴ ✄✝✼●✠ ✾✕➓ ✠ ✾✻✾✻✱ ✼ ❂■❍ ❆✻✱✰✾✻✱ ✹★✄❇❂ ✳ ✠ ✾ ➋ ✳✟✱ ❄ ✱✽❆✝✴ ❂ ❆✻✱✰✾ ❍❞✠✪✹ ✳✟✱✽❆ ❂❯✆✟✼ ❀ ✠✪✹✻✜ ✆✟✹★✄✻✠

✳✟✱❏✿ ✆ ✱✰✾ ✄ ✫❬✱✰✾ ✹❝✠ ❆ ✼❉❂■✞☎✼ ✱ ✹★✄ ✱ ✞✱ ❄➀❂■✹★✄❇❂ ✳ ❂ ✾ ❍ ✱ ✞✡✠ ✱✰✾ ✄✝✆ ✳ ❂■✹★✄ ✱ ➋①✹❝✠✪✼ ✱ ❂ ✳ ❂■✼ ✱ ✹★✄ ✱ ❂ ✾●✿ ✆ ✱➐✳✵✴➊ ✱ ✼

❆✻✱✰✾ ❍ ✱✽✴✄✻✠ ✥ ❍✲❂ ❆ ❂ ❿✜✱ ✼ ✳ ✠ ✾ ❍ ❆ ✠ ❀✰✱✰✾✻✾ ✠ ✾✂✴✄ ✱✽❆ ❂■✄ ✴❄✜✠ ✾ ➋ ✥ ❂■✄ ❆✝✴➇✟✆ ✴✡✶✙✷ ✠ ✳✟✱ ❄➀❂■✞✡✠ ❆✻✱✰✾ ❂➈❍✲❂ ❆❇➒ ✼ ✱ ✄ ❆ ✠ ✾⑨✳✟✱

✱ ✹★✄ ❆ ❂ ✳ ❂ ✱ ❂■✄✻✺❁❂ ➓ ❂■✞☎➃✲❂ ✾⑩✳✟✱ ❍ ❆ ✠ ❿➀❆ ❂■✼❉❂ ✶✙✷ ✠ ☞ ☛ ❂ ✴ ✹ ❀ ✞☎✆ ✾❇✷ ✠ ✳ ❂ ✳✵✴✡✾✻✿ ✆ ✱ ✄ ✱ ❍ ✱✽❆ ✼ ✴ ✄ ✴☎❆✝✴ ❂❪✆✟✼ ❂ ❀✰✱✰✾✻✾ ✠ ➓◗➉✪❀✽✴ ✞ ✱➈❆❇➉ ❍ ✴✡✳ ✠✟➋ ✿ ✆ ✱✽❆ ❍✲❂ ❆ ❂➐✠ ✾❵✱✰✾ ✄✝✆ ✳ ❂■✹★✄ ✱✰✾

✿ ✆ ✱✽❆ ✼ ✱✰✾ ✼●✠➐❍✲❂ ❆ ❂ ❀✽✴✡✱ ✹★✄ ✴✡✾ ✄❇❂ ✾✎✱●✱ ✹ ❿✜✱ ✹✟➃ ✱✽✴☎❆ ✠ ✾ ➋✕❂ ❆ ✠✪✄ ✴✹✲❂ ✾ ✹★✆✟✼●✺ ❆✝✴✡❀ ❂ ✾ ❍✲❂ ❆ ❂❏❂ ❆✻✱✰✾ ✠✪✞☎✆ ✶✙✷ ✠ ✳✟✱

❍ ❆ ✠✪➇✟✞✱ ✼❉❂ ✾ ✼❉❂■✄ ✱ ✼ ➉ ✄ ✴✡❀ ✠ ✾⑨✳✟✱❁❀ ✠✪✼❣❍✟✞✱♠➴✵✴✡✳ ❂ ✳✟✱✎✱❵✳✵✴✼ ✱ ✹ ✾❇✷ ✠●✼●✺ ✳✵✴❂ ✾✌☞

✧■➣✲✘❝➥✥✩✄✂✜✘✟✚✜✛✟✍ ➠ ✫✜✍✑➥✑✖ ➠✆☎❻➟ ✍ q

✼s✄ ✱✽❆ ✼●✠ ✾❵❿✜✱✽❆ ❂ ✴✡✾ ➋❻❂ ✳✟✱ ❍ ✱ ✹ ✳✾✱ ✹ ❀✽✴❂ ✱ ✹★✄ ❆✻✱ ✠ ✾❵❀ ❂■❍✟✁☎✄✝✆✟✞✡✠ ✾ ✺❣❂❏❂■❍ ❆✻✱✰✾✻✱ ✹★✄❇❂ ✳ ❂➐✹✲❂ ✩❝❿ ✆ ❆ ❂❏❋✵❊➼ ❊

✸ ❂■❍✟✁☎✄✝✆✟✞✡✠ ➼⑨✳ ✠ ✾

q

❆✝❆ ✠ ✾①✱⑨✱✰✾ ✄❇❂■➇ ✴✞✴✡✳ ❂ ✳✟✱ ✺⑩✆✟✼❉❂ ✴✹★✄ ❆ ✠ ✳ ✆ ✶✙✷ ✠ ✴✼❣❍ ❆✻✱✰✾✻❀✽✴✹ ✳ ✁☎❄ ✱ ✞ ✥ ✼❉❂■✄✻✺ ❆✝✴❂✵➋ ✾✻✱ ✼ ❂ ✿ ✆✲❂■✞

✹ ✷ ✠ ➓❂ ❆❇➉❵✾✻✱ ✹★✄ ✴✡✳ ✠✎❂❁❂■❍ ❆✻✱✰✾✻✱ ✹★✄❇❂ ✶✙✷ ✠ ✱ ❂ ✾✻✱ ✞✱✰❀✰✶✙✷ ✠ ➓ ✱✽✴✄❇❂ ✳ ✠ ✾ ✼●✺✽✄✻✠ ✳ ✠ ✾ ✳✟✱✰✾✻❀✽❆✝✴✄✻✠ ✾ ❊✕➆❯✠

❂■❍✟✁☎✄✝✆✟✞✡✠➈❈ ✾❇✷ ✠

❂■❍ ❆✻✱✰✾✻✱ ✹★✄❇❂ ✳ ✠ ✾ ❂■✞❿ ✆✟✹ ✾ ✼●✺✽✄✻✠ ✳ ✠ ✾ ❍✲❂ ❆ ❂➐✠ ❀✙➉ ✞❀ ✆✟✞✡✠ ✳✟✱❅❆ ❂■✁☎➊ ✱✰✾❁❆✻✱ ❂ ✴✡✾❁✱❅❀ ✠✪✼❣❍✟✞✱♠➴ ❂ ✾✎✳✟✱ ✆✟✼❉❂ ✱✰✿ ✆✲❂ ✶✙✷ ✠

✹ ✷ ✠➐✞✴✹ ✱ ❂ ❆ ❊ ✯ ✄❇❂■✼✎➇❞✺✽✼ ❂■✹✲❂■✞✴✡✾ ❂ ✳ ❂❏❂ ✾ ✆✲❂ ❀ ✠✪✹★❄ ✱✽❆✝❿✲✱ ✹ ❀✽✴❂ ✱ ❂■❍✟✞✴✡❀ ❂■➇ ✴✞✴✡✳ ❂ ✳✟✱ ❊ ❑ ❆✻✱✰✾ ✠✪✞☎✆ ✶✙✷ ✠ ✳✟✱ ✆✟✼

✾✝✴✡✾ ✄ ✱ ✼❉❂ ✳✟✱⑤✱✰✿ ✆✲❂ ✶✬✫❬✱✰✾ ✞ ✴ ✹ ✱ ❂ ❆✻✱✰✾ ➋✵➇ ✱ ✼ ❀ ✠✪✼●✠●❂ ✳✟✱ ✄ ✱✽❆ ✼ ✴ ✹✲❂ ✶✙✷ ✠ ✳ ❂ ✴ ✹★❄ ✱✽❆✻✾ ❂ ✳✟✱ ✆✟✼❉❂➈✼❉❂■✄ ❆✝✴ ➊ ✱ ✠ ❀✙➉ ✞ ➍

❀ ✆✟✞✡✠ ✳ ✠ ✾✻✱ ✆ ✳✟✱ ✄ ✱✽❆ ✼ ✴✹✲❂■✹★✄ ✱⑩✾❇✷ ✠❵❂ ✾✻✾ ✆✟✹★✄✻✠ ✾t✿ ✆ ✱ ❍❞✠ ✳✟✱ ✼ ✾✻✱✽❆✕✱✰✾ ✄✝✆ ✳ ❂ ✳ ✠ ✾ ✹❝✠

❂■❍✟✁☎✄✝✆✟✞✡✠ ✞✵❊

❆✻✱✰✾ ✠✪✞☎✆ ✶✙✷ ✠

✳✟✱ ✆✟✼ ✾✝✴✡✾ ✄ ✱ ✼❉❂ ✳✟✱❯✱✰✿ ✆✲❂ ✶✬✫❬✱✰✾ ✹ ✷ ✠➈✞✴✹ ✱ ❂ ❆✻✱✰✾ ✺❯✄ ❆ ❂■✄❇❂ ✳ ❂✎✹❝✠ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠➈➻❝➋ ✿ ✆ ✱ ❍❞✠ ✳✟✱❯✾✻✱✽❆✂❀ ✠✪✹ ✾✝✴✡✳✟✱✽❆ ❂ ✳ ✠

❀ ✠✪✼●✠❅✆✟✼❉❂ ✱♠➴ ✄ ✱ ✹ ✾❇✷ ✠ ✳

✠ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠❉❈✵➋❬✼❉❂

✾✌✿ ✆ ✱ ✹ ✱✰❀✰✱✰✾✻✾✝✴ ✄❇❂ ✳✟✱ ❂■✞ ❿ ✆✟✹ ✾⑩❀ ✠✪✹✟➃ ✱✰❀✽✴ ✼ ✱ ✹★✄✻✠ ✾⑨✳ ✠➈✄ ✱✽❆✻❀✰✱✽✴☎❆ ✠ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠✟❊ ✮

❀✙➉ ✞❀ ✆✟✞✡✠ ✳ ✠ ✾ ❄➀❂■✞✡✠ ❆✻✱✰✾❯✱ ❄ ✱✰❀ ✄✻✠ ❆✻✱✰✾ ❍ ❆✻➑ ❍ ❆✝✴✠ ✾⑤✳✟✱ ✼❉❂■✄ ❆✝✴➊ ✱✰✾ ➋ ✿ ✆ ✱✽❆❯✾✝✴✼●✺✽✄ ❆✝✴✡❀ ❂ ✾⑤✿ ✆ ✱✽❆ ✹ ✷ ✠

✾✝✴✼●✺✽✄ ❆✝✴✡❀ ❂ ✾ ➋✵✺❯❂■➇❞✠ ❆✻✳ ❂ ✳ ✠➈✹❝✠ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠ ➹ ❊ ✮ ✾ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠ ✾ ✞ ✱⑤➹❁❀ ✠✪✹ ✾ ✄ ✴✄✝✆ ✱ ✼➷❂ ✿ ✆ ✴✞✡✠ ✿ ✆ ✱ ✺ ❀ ✠ ✾ ✄✝✆✟✼ ✱

✳✟✱✰✾✝✴☎❿ ✹✲❂ ❆ ❍❞✠ ❆✞✝ ✞ ❿✜✱ ➇ ❆ ❂❵♦ ✴ ✹ ✱ ❂ ❆ ➆⑨✆✟✼●✺ ❆✝✴✡❀ ❂✵❊ ✮ ✾▼✳ ✠ ✴✡✾▼❀ ❂■❍✟✁☎✄✝✆✟✞✡✠ ✾ ✾✻✱✽❿ ✆ ✴ ✹★✄ ✱✰✾▼✱✰✾ ✄✝✆ ✳ ❂■✼ ✠⑤❍ ❆ ✠✪➇✟✞ ✱ ✼❉❂ ✳ ❂

❂■❍ ❆ ✠ ➴✵✴✼❉❂ ✶✙✷ ✠ ✳✟✱✎➓✆✟✹ ✶✬✫❬✱✰✾ ➋ ✱ ✼✎➇❞✠ ❆ ❂ ❀ ✠✪✼ ✠✪➇✢✜ ✱✰❀ ✄ ✴❄✜✠ ✾❵✱ ✄✻✺ ❀ ✹ ✴✡❀ ❂ ✾❁✳✵✴➎➓✱✽❆✻✱ ✹★✄ ✱✰✾ ❊

✮ ✸

❂■❍✟✁☎✄✝✆✟✞✡✠✤➺ ✳✟✱✰✾ ➍

❀✽❆✻✱ ❄ ✱ ✄✻✺ ❀ ✹ ✴✡❀ ❂ ✾⑩✳✟✱❯✴✹★✄ ✱✽❆ ❍❞✠✪✞➢❂ ✶✙✷ ✠✟➋ ✴✹ ❀ ✞☎✆ ✴✹ ✳ ✠●❂ ✾ ➏✾ ❍✟✞✴✹ ✱✰✾ ➏☎➋ ✱ ✠ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠❉➸➈❂■➇❞✠ ❆✻✳ ❂➈✠➈❍ ❆ ✠✪➇✟✞✱ ✼❉❂ ✳ ✠

❂ ✜ ✆ ✾ ✄ ✱⑤✳✟✱ ✼●✠ ✳✟✱ ✞✡✠ ✾ ❍❞✠✪✞ ✴ ✹❝✠✪✼ ✴ ❂ ✴✡✾ ➋✟✹ ✷ ✠❅❍❞✠✪✞ ✴ ✹❝✠✪✼ ✴ ❂ ✴✡✾⑩✱ ✄❇❂■✼✎➇❞✺✽✼❃✠ ✾ ✹ ✷ ✠➈✞ ✴ ✹ ✱ ❂ ❆✻✱✰✾ ✹❝✠ ✾ ❍✲❂ ❆❇➒ ✼ ✱ ✄ ❆ ✠ ✾ ➋

❂❏✆✟✼ ❀ ✠✪✹✻✜ ✆✟✹★✄✻✠ ✳✟✱❉✳ ❂ ✳ ✠ ✾➈✱♠➴ ❍ ✱✽❆✝✴✼ ✱ ✹★✄❇❂ ✴✡✾ ❊

❍ ❆ ✠✪➇✟✞✱ ✼❉❂ ✳ ❂ ✴✹★✄ ✱✽❿➀❆ ❂ ✶✙✷ ✠❺✹★✆✟✼●✺ ❆✝✴✡❀ ❂ ✳✟✱●➓✆✟✹ ✶✬✫❬✱✰✾

✺❪✄ ❆ ❂■✄❇❂ ✳ ✠❺✹❝✠ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠ ✭✵❊ ✮ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠✓➳❺✺ ❆✻✱✰✾✻✱✽❆ ❄➀❂ ✳ ✠❺❍✲❂ ❆ ❂➂❂ ❆✻✱✰✾ ✠✪✞☎✆ ✶✙✷ ✠ ✳✟✱ ❍ ❆ ✠✪➇✟✞✱ ✼❉❂ ✾●❀ ✠✪✼

✱✰✿ ✆✲❂ ✶✬✫❬✱✰✾➈✳✵✴➎➓ ✱✽❆✻✱ ✹ ❀✽✴❂ ✴✡✾ ✠ ❆✻✳✵✴✹ ➉■❆✝✴❂ ✾❣❀ ✠✪✼ ❀ ✠✪✹ ✳✵✴✡✶✬✫❬✱✰✾➈✴✹ ✴✡❀✽✴❂ ✴✡✾ ➋ ✾✻✱ ✼ ✱✰✾✻✿ ✆ ✱✰❀✰✱✽❆ ✄❇❂■✼✎➇❞✺✽✼ ✠ ✾ ❍ ❆ ✠✪➇✟✞✱♠➍

✼❉❂ ✾⑩❀ ✠✪✼ ❀ ✠✪✹ ✳✵✴✡✶✬✫❬✱✰✾⑩✳✟✱❯➓④❆ ✠✪✹★✄ ✱✽✴☎❆ ❂✵❊

✠✪✹✟➃ ✱✰❀✽✴✼ ✱ ✹★✄✻✠ ✾❯✾ ✠✪➇ ❆✻✱ ❂➈✼❉❂■✄✻✺ ❆✝✴❂❅✞✱✰❀✰❀✽✴✠✪✹✲❂ ✳ ❂❅✹❝✠ ✾

❂■❍✟✁☎✄✝✆✟✞✡✠ ✾

✞ ✱ ➺ ✾❇✷ ✠ ✱✰✾✻✾✻✱ ✹ ❀✽✴❂ ✴✡✾ ❍✲❂ ❆ ❂❅❂ ✾ ✆✲❂ ❀ ✠✪✼❣❍ ❆✻✱✰✱ ✹ ✾❇✷ ✠✟❊✺✛ ✴✹✲❂■✞☎✼ ✱ ✹★✄ ✱ ✠ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠ ➼ ❋ ✾ ✠✪➇ ❆✻✱ ✮ ❍✟✄ ✴✼ ✴➊❨❂ ✶✙✷ ✠

✹ ✷ ✠❏✞✴✹ ✱ ❂ ❆ ➋ ✾✻✱ ✼ ❆✻✱✰✾ ✄ ❆✝✴✡✶✬✫❬✱✰✾ ✹✲❂ ✾ ❄➀❂ ❆✝✴➢➉ ❄ ✱✽✴✡✾ ➋❻✄ ❆ ❂■✄❇❂ ✳✟✱ ✆✟✼ ❍ ❆ ✠✪➇✟✞✱ ✼❉❂ ✿ ✆ ✱ ❍❞✠ ✳✟✱❣✾✻✱✽❆✎❀ ✠✪✹ ✾✝✴✡✳✟✱✽❆ ❂ ✳ ✠

❀ ✠✪✼●✠ ✳✵✴☎❆✻✱✰❀ ✄❇❂■✼ ✱ ✹★✄ ✱✎❆✻✱ ✞➢❂ ❀✽✴✠✪✹✲❂ ✳ ✠ ❀ ✠✪✼ ✠ ✾⑩✳ ✠ ✾

❂■❍✟✁☎✄✝✆✟✞✡✠ ✾ ❈ ✱ ➻❝➋❝✼❉❂ ✾ ✹ ✷ ✠ ✱✰✿ ✆ ✴❄➀❂■✞✱ ✹★✄ ✱ ➋ ❀ ✠✪✼●✠ ✾✻✱

❄ ✱✽❆❇➉ ✹✲❂ ✳✟✱ ❄ ✴✡✳ ❂●❂■✞☎✄✝✆ ❆ ❂✵❊

✛✲❂■➊ ➍✈✾✻✱✌✱ ✼ ✾✻✱✽❿ ✆ ✴✡✳ ❂⑨✆✟✼❉❂❵❂■❍ ❆✻✱✰✾✻✱ ✹★✄❇❂ ✶✙✷ ✠❵✼❉❂ ✴✡✾ ❍❞✠ ❆ ✼ ✱ ✹❝✠ ❆✝✴ ➊❨❂ ✳ ❂ ✳ ✠ ❀ ✠✪✹★✄ ✱✤✣❝✳ ✠ ✳ ✠ ✾t❀ ❂■❍✟✁☎✄✝✆✟✞✡✠ ✾ ➋★❂✪✠

✼ ✱✰✾ ✼●✠❅✄ ✱ ✼❣❍❞✠ ✿ ✆ ✱⑤✾✻✱⑤✳✟✱ ✩ ✹ ✱ ✆✟✼➔❍ ❆ ✠ ❿➀❆ ❂■✼❉❂➈❍✲❂ ❆ ❂➈✆✟✼❉❂ ✳✵✴✡✾✻❀✽✴❍✟✞✴✹✲❂ ✾✻✱ ✼ ✱✰✾ ✄ ❆ ❂■✞ ✱❯✴✹★✄ ❆ ✠ ✳ ✆✟✄ ➑✪❆✝✴❂❅✹❝✠

➒ ✼✎➇ ✴✄✻✠ ✳ ✠ ✾ ➁❺✺✽✄✻✠ ✳ ✠ ✾ ➆⑨✆✟✼●✺ ❆✝✴✡❀ ✠ ✾ ➋❬➃✲❂■➇ ✴✄✝✆✲❂■✞☎✼ ✱ ✹★✄ ✱❵✳✟✱✰✾✝✴☎❿ ✹✲❂ ✳ ❂✎❍❞✠ ❆

✹ ➉ ✞✴✡✾✻✱ ➆⑨✆✟✼●✺ ❆✝✴✡❀ ❂✵➋✵➁❺✺✽✄✻✠ ✳ ✠ ✾

➆⑨✆✟✼●✺ ❆✝✴✡❀ ✠ ✾ ✉①✠✪✆✤➁❺✺✽✄✻✠ ✳ ✠ ✾ ✸ ✠✪✼❣❍✟✆✟✄❇❂ ❀✽✴✠✪✹✲❂ ✴✡✾ ✉♠❊

➆⑤❂ ✱✰✾✻✾ ✱ ✹ ❀✽✴❂ ✾❇✷ ✠➈✠ ✾

❂■❍✟✁☎✄✝✆✟✞✡✠ ✾❵➼ ➋✵❈✵➋❂✞✵➋✵➺ ✱ ✭ ✿ ✆ ✱❯❀ ✠✪➇ ❆✻✱ ✼➷❂ ✾ ✼❉❂■✄✻✺ ❆✝✴❂ ❀ ✠✪✹ ✾✝✴✡✳✟✱✽❆ ❂ ✳ ❂ ✾ ➇ ➉✪✾✝✴✡❀ ❂ ✾ ❊

(11)

✂ ✄

✂ ✄

✂ ✄

✂ ✄

✂ ✄

✂ ✄

✂ ✄

✂ ✄

✂ ✄

✂ ✄

➼ ❋

☎ ☎ ☎ ☎ ☎

✆ ✆ ✆

✝✞ ✟

✟✡✠

✛ ✴☎❿ ✆ ❆ ❂ ➼ ☛

q

✾✻✿ ✆ ✱ ✼❉❂ ✳ ❂ ✳✟✱ ❍ ✱ ✹ ✳✾✱ ✹ ❀✽✴❂ ✳ ✠ ✾⑩✳✟✱ ➊ ❀ ❂■❍✟✁☎✄✝✆✟✞✡✠ ✾

➆❯✠ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠ ➼⑤✱✰✾ ✄✝✆ ✳ ❂■✼ ➍✈✾✻✱ ✠ ✾✂✱✽❆✝❆ ✠ ✾✌✳✟✱ ❂ ❆✝❆✻✱✰✳ ✠✪✹ ✳ ❂■✼ ✱ ✹★✄✻✠ ✱❯✾ ✆✲❂✎❍ ❆ ✠✪❍✲❂ ❿ ❂ ✶✙✷ ✠

✱ ✼ ➼ ❊✞✵➋ ➼ ❊➻ ✱

✾⑨✳✟✱

✆✟✹

❂■✄✝✆

❊➺✜➚

✆✻✜✻❂

✴✡✳✟✱ ✹★✄

✴✩✲❀

✶✙✷

❂■✹

✴✡✾✻✱✎✾✻✱❁❀ ✠✪✹

✾✝✴✡✳✟✱✽❆ ❂■✼❃✹

✱✰❀✰✱✰✾✻✾❇➉■❆✝✴

✾❯✱

❀ ✠✪✼❣❍✟✆✟✄❇❂ ✶✙✷ ✠❣✹★✆✟✼●✺ ❆✝✴✡❀ ❂✵❊ ✵⑨✼❉❂ ❀ ✠✪✹ ✾✻❀✽✴✡✱ ✹ ❀✽✴❂■✞✴➊❨❂ ✶✙✷ ✠ ✳ ❂ ✾⑩✱ ✄❇❂■❍✲❂ ✾ ❂ ✾✻✱✽❿ ✆ ✴☎❆ ✹❝✠ ✳✟✱✰✾✻✱ ✹★❄✜✠✪✞☎❄ ✴✼ ✱ ✹★✄✻✠ ✳✟✱

✆✟✼➷❍ ❆ ✠ ❿➀❆ ❂■✼❉❂ ✳✟✱❁❀ ✠✪✼❣❍✟✆✟✄❇❂ ✳ ✠ ❆ ✺ ➓ ✱✽✴✄❇❂ ✱ ✼ ➼ ❊❈✵❊

✴ ❂ ❆ ❂❼❂ ❆✻✱✰✾ ✠✪✞☎✆ ✶✙✷ ✠ ✳✟✱ ✆✟✼❉❂ ✱✰✿ ✆✲❂ ✶✙✷ ✠❏✹ ✷ ✠❏✞✴✹ ✱ ❂ ❆ ➋✥✠ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠❺❈ ✴✹★✄ ❆ ✠ ✳ ✆✟➊❉❍ ❆ ✠ ❀✰✱✰✾✻✾ ✠ ✾ ❍✲❂ ❆ ❂✤❂

✞✡✠ ❀ ❂■✞✴➊❨❂ ✶✙✷ ✠ ✳ ❂ ✾❅❆ ❂■✁☎➊ ✱✰✾●✱➐✳✟✱✰✾✻❀✽❆✻✱ ❄ ✱ ✼●✺✽✄✻✠ ✳ ✠ ✾ ❍✲❂ ❆ ❂❲❂ ✾❣❀ ❂■✞❀ ✆✟✞➢❂ ❆ ❊

q

✼ ❈✵❊➹ ➋①❈✵❊➸❬➋①❈✵❊✭ ✱ ❈✵❊➼ ❋ ✾❇✷ ✠

✴✹★✄ ❆ ✠ ✳ ✆✟➊ ✴✡✳ ✠ ✾ ✠ ✾ ✼●✺✽✄✻✠ ✳ ✠ ✾ ✼❉❂ ✴✡✾●❀ ✠✪✹✟➃ ✱✰❀✽✴✡✳ ✠ ✾ ☛❏➇ ✴✡✾✻✾✻✱✰❀✰✶✙✷ ✠✟➋ ✾✻✱✰❀ ❂■✹★✄ ✱ ➋✂➆ ✱✤★ ✄✻✠✪✹ ➍ ✳ ❂■❍✟➃ ✾ ✠✪✹ ✱ ❍❞✠✪✹★✄✻✠

✩✟➴ ✠✟❊ ✮ ❀ ✠✪✹ ✳✵✴✡❀✽✴✠✪✹✲❂■✼ ✱ ✹★✄✻✠ ✳ ❂ ✾⑩❆ ❂■✁☎➊ ✱✰✾⑨✳✟✱ ❍❞✠✪✞✴✹ ➑ ✼ ✴✠ ✾

✱ ✼ ❈✵❊❈✵❊❈✜➚ ✱ ✆✟✼ ❀✽❆✝✴✄✻✺ ❆✝✴✠ ✳✟✱ ❍✲❂ ❆ ❂ ❿✜✱ ✼ ✳✟✱

❍ ❆ ✠ ❀✰✱✰✾✻✾ ✠ ✾✥✴✄ ✱✽❆ ❂■✄ ✴❄✜✠ ✾

❄ ✱ ✜✻❂ ➍✈✾✻✱✂✱ ✼ ❈✵❊✞✜➚ ✾❇✷ ✠❯✄ ✱ ✼❉❂ ✾t✳✟✱①❿➀❆ ❂■✹ ✳✟✱✂✴✼❣❍❞✠ ❆ ✄ ➒ ✹ ❀✽✴❂✵❊ ✮ ✾ ✼●✺✽✄✻✠ ✳ ✠ ✾t✳ ❂ ➓ ❂■✞✾ ❂

❍❞✠

✾✝✴✡✶✙✷ ✠✟➋

✼➷❈✵❊➺✵➋

✱❯✳✟✱ ♦❻❂

✱✽❆✝❆✻✱

✼➔❈✵❊➳✵➋❬❍❞✠

✳✟✱

✾✻✱✽❆①✳✟✱✽✴➎➴

❍✲❂

❂➈✠✪✆✟✄

❂➈❂■✞☎✄✝✆

❂➈✠✪✆

❿✜✱✽❆✝✴✡✳

❍✲❂ ❆ ❂ ✱✰✾ ✄✝✆ ✳ ✠ ✴✹ ✳✵✴❄ ✴✡✳ ✆✲❂■✞ ✱❵❀ ✠✪✼❣❍✟✞✱ ✼ ✱ ✹★✄❇❂ ❆ ❊

➆❯✠

❂■❍✟✁☎✄✝✆✟✞✡✠ ✞ ✱ ❍✲❂ ❆ ❂✓❂ ❆✻✱✰✾ ✠✪✞☎✆ ✶✙✷ ✠ ✳✟✱ ✆✟✼ ✾✝✴✡✾ ✄ ✱ ✼❉❂ ✳✟✱✤✱✰✿ ✆✲❂ ✶✬✫❬✱✰✾ ✞✴✹ ✱ ❂ ❆✻✱✰✾ ➋✂✺ ✴✼❣❍ ❆✻✱✰✾✻❀✽✴✹ ➍

✳ ✁☎❄ ✱ ✞ ➓❂■✞➢❂ ❆❅✳ ✠ ✾✻✱ ✆ ❀ ✠✪✹ ✳✵✴✡❀✽✴✠✪✹✲❂■✼ ✱ ✹★✄✻✠

✱ ✼ ✞✵❊❈✜➚♠➋ ✴✹★✄ ❆ ✠ ✳ ✆✟➊ ✴☎❆ ✠ ✾ ✼●✺✽✄✻✠ ✳ ✠ ✾❅✳✵✴☎❆✻✱✰❀ ✄✻✠ ✾ ➋ ✱ ✼ ✞✵❊➻❝➋t✠ ✾

✼●✺✽✄✻✠

✾❁✴

✱✽❆ ❂■✄

❄✜✠

✼ ✞✵❊➺✵➋✗➇

✠✪✼●✠❼❂

✳✟✱✰❀ ✠✪✼❣❍❞✠

✾✝✴✡✶✙✷

❂➐✼❉❂■✄

❆✝✴

✾✎❀

✱ ✩✲❀✽✴✡✱ ✹★✄

✱✰✾ ❍✲❂

❂❏✠

❀✙➉ ✞❀ ✆✟✞✡✠ ✳ ✠ ✾✻✱ ✆ ✳✟✱ ✄ ✱✽❆ ✼ ✴✹✲❂■✹★✄ ✱

❄ ✱ ✜✻❂ ➍✈✾✻✱⑩✱ ✼ ✞✵❊➹ ➚♠❊ ✴ ✠ ✳✟✱✽❆ ➍✈✾✻✱♠➍❙➉❵✳✟✱✽✴➎➴ ❂ ❆ ✳✟✱➐➓ ✠ ❆ ❂✵➋t✹★✆✟✼❉❂✣❂■➇❞✠ ❆✻✳ ❂ ❿✜✱ ✼

✼❉❂ ✴✡✾ ✱ ✞✱ ✼ ✱ ✹★✄❇❂ ❆ ➋➐❂ ➓ ❂ ❀ ✄✻✠ ❆✝✴➊❨❂ ✶✙✷ ✠✌☞ ✳ ➋ ✱ ✼ ✞✵❊➹ ❊➹ ➋ ✱ ✆✟✼ ❍ ❆ ✠ ❀✰✱✰✾✻✾ ✠ ✳✟✱❪❆✻✱✰✳ ✆ ✶✙✷ ✠ ✳ ✠ ✾❣✱✽❆✝❆ ✠ ✾❣✳✟✱

❆✝❆✻✱✰✳ ✠✪✹

❂■✼

✹★✄✻✠✟➋

✼ ✞✵❊✞✵❊

➆❯✠ ✳ ✠✪✼❣✁☎✹ ✴✠ ✳ ❂❅❂■❍ ❆ ✠ ➴✵✴✼❉❂ ✶✙✷ ✠ ✳✟✱❯➓✆✟✹ ✶✬✫❬✱✰✾ ➋✵✠ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠●➺ ❀ ✠✪➇ ❆✻✱ ❂ ✴✹★✄ ✱✽❆ ❍❞✠✪✞➢❂ ✶✙✷ ✠❣➇✲❂ ✾✻✱ ❂ ✳ ❂ ✱ ✼

✳✵✴➎➓✱✽❆✻✱ ✹ ✶ ❂ ✾ ✩ ✹ ✴✄❇❂ ✾✎✱ ❂ ✴✹★✄ ✱✽❆ ❍❞✠✪✞➢❂ ✶✙✷ ✠ ✾✻✱✽❿ ✼ ✱ ✹★✄❇❂ ✳ ❂✵❊ ✴✥✱ ✞➢❂ ✾ ✆✲❂❏❂■❍✟✞✴✡❀ ❂ ✶✙✷ ✠✤✼❉❂ ✴✡✾❵❿✜✱✽❆ ❂■✞◗➋✕❂ ✴✹★✄ ✱✽❆ ❍❞✠ ➍

✞➢❂ ✶✙✷ ✠❉➇✲❂ ✾✻✱ ❂ ✳ ❂ ✱ ✼ ❍❞✠✪✹★✄✻✠ ✾⑤✳✟✱✰✾✝✴☎❿ ✆✲❂■✞☎✼ ✱ ✹★✄ ✱❅✱✰✾ ❍✲❂ ✶ ❂ ✳ ✠ ✾ ➋ ✱ ✼s➺✵❊✞✵➋✲✄✻✠ ❆ ✹✲❂ ➍✈✾✻✱ ✼✎✆ ✴✄✻✠ ❀ ✠✪✼✎✆✟✼✤❊ ✴✥✱ ✞➢❂ ✾

❄➀❂■✹★✄❇❂ ❿✜✱ ✹ ✾❁✳ ❂ ✾ ✆✲❂➐❂■❍✟✞✴✡❀ ❂ ✶✙✷ ✠✟➋❥✄❇❂■✼✎➇❞✺✽✼ ✳✟✱ ❄ ✱ ✼ ✾✻✱✽❆❯✴✹★✄ ❆ ✠ ✳ ✆✟➊ ✴✡✳ ❂ ✾ ❂ ✾⑨➓✆✟✹ ✶✬✫❬✱✰✾ ➌✾ ❍✟✞✴✹ ✱✰✾ ➏☎➋ ✱ ✼ ➺✵❊➻❝❊

✹★✄

✱✽❆ ❍❞✠✪✞➢❂

✶✙✷

✠✪✼

✱✰✾ ❍✲❂

❂■✼

✹★✄✻✠

✠✪✹

✄❇❂■✹★✄

✼ ➺✵❊❈✵➋✕❍❞✠

✳✟✱●✾✻✱✽❆❅✳✟✱✽✴➎➴

❂❏❍✲❂

❂❼✠✪✆✟✄

❂❺❂■✞☎✄✝✆

✼❉❂ ✴✡✾⑩❀ ✠✪✹★❄ ✱ ✹ ✴✡✱ ✹★✄ ✱ ❊

➪⑤✠

❂■❍✟✁☎✄✝✆✟✞✡✠ ✭✵➋ ✾ ✠✪➇ ❆✻✱❉✴✹★✄ ✱✽❿➀❆ ❂ ✶✙✷ ✠❺✹★✆✟✼●✺ ❆✝✴✡❀ ❂✵➋①❂ ✾❁➓ ➑✪❆ ✼✎✆✟✞➢❂ ✾❣✳✟✱ ➆ ✱✤★ ✄✻✠✪✹ ➍

✠✪✄ ✱✰✾ ➋t➇ ✱ ✼ ❀ ✠✪✼●✠

❂ ✾✎❀ ✠ ❆✝❆✻✱✰✾ ❍❞✠✪✹ ✳✟✱ ✹★✄ ✱✰✾❁➓ ➑✪❆ ✼✎✆✟✞➢❂ ✾➈❀ ✠✪✼❣❍❞✠ ✾ ✄❇❂ ✾ ✄✻✠ ❆ ✹✲❂■✼ ➍✈✾✻✱❉✱✰✾✻✾✻✱ ✹ ❀✽✴❂ ✴✡✾ ➋ ✱ ✼ ✭✵❊❈✵❊

q

(12)

✂ ✄

✂ ✄

✂ ✄

✂ ✄

✂ ✄

✂ ✄

✂ ✄

✂ ✄

☎ ☎ ☎ ☎

✂✁ ✂✁ ✂✁

✛ ✴☎❿ ✆ ❆ ❂●❈✵☛①➄ ✱✰✿ ✆ ✱ ✹ ❀✽✴❂ ✳✟✱❵❀ ❂■❍✟✁☎✄✝✆✟✞✡✠ ✾❯✳✟✱ ✆✟✼❉❂ ✳✵✴✡✾✻❀✽✴❍✟✞✴✹✲❂ ✾✻✱ ✼ ✱✰✾ ✄ ❆ ❂■✞ ✴✹★✄ ❆ ✠ ✳ ✆✟✄ ➑✪❆✝✴❂

✴✼❣❍ ❆✻➑ ❍ ❆✝✴✠ ✾ ❊

✴✹★✄ ✱✽❿➀❆ ❂ ✶✙✷ ✠ ✳✟✱ ✳ ✠✪✼✎➇ ✱✽❆✝❿ ➋ ✱ ✼ ✭✵❊✞✵➋★❍❞✠ ✳✟✱⑨✾✻✱✽❆✂❀ ✠✪✹ ✾✝✴✡✳✟✱✽❆ ❂ ✳ ❂✎✼❉❂■✄✻✺ ❆✝✴❂❁✼❉❂ ✴✡✾✂❀ ✠✪✼❣❍✟✞✱♠➍

✼ ✱ ✹★✄❇❂ ❆ ❊

✞✡✺✽✼ ✳ ❂➈✼❉❂■✄✻✺ ❆✝✴❂ ✜ ➉✎✴✡✳✟✱ ✹★✄ ✴✩✲❀ ❂ ✳ ❂✵➋❝✹ ✱✰✾ ✄ ✱✰✾✌❀✽✴✹ ❀ ✠ ❀ ❂■❍✟✁☎✄✝✆✟✞✡✠ ✾ ➋ ❀ ✠✪✼●✠ ✴✹★✄ ❆ ✠ ✳ ✆✟✄ ➑✪❆✝✴❂✵➋❝✄❇❂■✼✎➇❞✺✽✼ ✾✻✱

❀ ✠✪✹ ✾✝✴✡✳✟✱✽❆ ❂ ✿ ✆ ✱ ❂ ❆✻✱✰✾ ✠✪✞☎✆ ✶✙✷ ✠ ✳✟✱ ✆✟✼ ✾✝✴✡✾ ✄ ✱ ✼❉❂ ✳✟✱⑨✱✰✿ ✆✲❂ ✶✬✫❬✱✰✾ ✹ ✷ ✠❁✞✴✹ ✱ ❂ ❆✻✱✰✾ ❍ ✱ ✞✡✠❁✼●✺✽✄✻✠ ✳ ✠ ✳✟✱ ➆ ✱✤★ ✄✻✠✪✹✗➋

✱ ✼ ➻❝❊❈ ✳ ✠ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠❅➻❝➋✵✠ ✾ ✼●✺✽✄✻✠ ✳ ✠ ✾✂✴✄ ✱✽❆ ❂■✄ ✴❄✜✠ ✾ ❍✲❂ ❆ ❂➈✠ ❀✙➉ ✞❀ ✆✟✞✡✠ ✳ ✠ ✾ ❄➀❂■✞✡✠ ❆✻✱✰✾ ➋ ✱ ❄ ✱✰❀ ✄✻✠ ❆✻✱✰✾ ❍ ❆✻➑ ❍ ❆✝✴✠ ✾

❂ ✾✻✾ ✠ ❀✽✴❂ ✳ ✠ ✾ ➋ ✳✟✱ ✼❉❂ ✴✠ ❆✌✱ ✼ ✱ ✹❝✠ ❆ ✼ ➑❬✳ ✆✟✞✡✠ ✳✟✱ ✆✟✼❉❂✎✼❉❂■✄ ❆✝✴➊✜➋ ✱ ✼ ➹ ❊✞✵➋❬➇ ✱ ✼ ❀ ✠✪✼●✠❣✠ ✾✻✱ ✆ ❀ ✠✪✹ ✳✵✴✡❀✽✴✠✪✹✲❂ ➍

✼ ✱ ✹★✄✻✠

✱ ✼ ➹ ❊❈✜➚♠➋ ✳ ✠ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠ ➹●✱ ✠❪❂ ✜ ✆ ✾ ✄ ✱✎✳✟✱❵➓✆✟✹ ✶✬✫❬✱✰✾ ❍ ✱ ✞➢❂❣✄✻✺ ❀ ✹ ✴✡❀ ❂ ✳ ✠ ✾ ✼❣✁☎✹ ✴✼●✠ ✾⑤✿ ✆✲❂ ✳✵❆ ❂ ✳ ✠ ✾

✱ ✼ ➸❬❊❈✜➚ ✳ ✠ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠❲➸❬➋❻✠✪✹ ✳✟✱❉✾❇✷ ✠ ✴✹★✄ ❆ ✠ ✳ ✆✟➊ ✴✡✳ ✠ ✾ ✠ ✾ ❍❞✠✪✞✴✹ ➑ ✼ ✴✠ ✾ ✠ ❆ ✄✻✠ ❿ ✠✪✹✲❂ ✴✡✾ ➋ ✳✟✱ ❄ ✱ ✼ ✾✻✱✽❆✎❀ ✠✪✹ ➍

✾✝✴✡✳✟✱✽❆ ❂ ✳ ✠ ✾ ❂ ✾✻✾ ✆✟✹★✄✻✠ ✾❅✳✟✱●✴✹★✄ ✱✽❆✻✱✰✾✻✾✻✱❉✴✹★✄ ❆ ✠ ✳ ✆✟✄ ➑✪❆✝✴✠✟➋ ✱✰✾ ❍ ✱✰❀✽✴❂■✞☎✼ ✱ ✹★✄ ✱➐✾✻✱❉✱✰✾ ✄❇❂ ➓✠ ❆ ❂ ✣ ✹ ✴✡❀ ❂ ✳✵✴✡✾✻❀✽✴❍✟✞✴✹✲❂

✞✱✰❀✰❀✽✴✠✪✹✲❂ ✳ ❂❣✹❝✠ ✳ ✠✪✼❣✁☎✹ ✴✠ ✳ ✠ ✾ ✼●✺✽✄✻✠ ✳ ✠ ✾ ✹★✆✟✼●✺ ❆✝✴✡❀ ✠ ✾ ❊

✼●✺✽✄✻✠ ✳ ✠ ✳ ❂ ✾✻✱✰❀ ❂■✹★✄ ✱ ➋ ✱ ✼ ➻❝❊✞ ✳ ✠

❂■❍✟✁☎✄✝✆✟✞✡✠❪➻❝➋✑✠ ❀✙➉ ✞❀ ✆✟✞✡✠ ✳ ✠ ❀ ✠✪✹✻✜✆✟✹★✄✻✠ ✴✹★✄ ✱✽✴☎❆ ✠ ✳ ✠ ✾ ❄➀❂■✞✡✠ ❆✻✱✰✾

❍ ❆✻➑ ❍ ❆✝✴✠ ✾✂✱⑨❀ ✠ ❆✝❆✻✱✰✾ ❍❞✠✪✹ ✳✟✱ ✹★✄ ✱✰✾ ❄ ✱✰❀ ✄✻✠ ❆✻✱✰✾✌✳✟✱ ✆✟✼❉❂❁✼❉❂■✄ ❆✝✴➊ ✾✝✴✼●✺✽✄ ❆✝✴✡❀ ❂✵➋ ✱ ✼ ➹ ❊➻❝➋ ✱❯✳✟✱ ✆✟✼❉❂❁✼❉❂■✄ ❆✝✴➊⑤✹ ✷ ✠

✾✝✴✼●✺✽✄ ❆✝✴✡❀ ❂✵➋ ✱ ✼ ➹ ❊➹ ➋ ✳ ✠ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠ ➹❣✱ ✠❣❍ ❆ ✠✪➇✟✞✱ ✼❉❂ ✳ ✠ ✾ ✼❣✁☎✹ ✴✼●✠ ✾❯✿ ✆✲❂ ✳✵❆ ❂ ✳ ✠ ✾ ✹ ✷ ✠●✞✴✹ ✱ ❂ ❆ ➋ ✱ ✼ ➸❬❊✞✵➋

✳ ✠

❂■❍✟✁☎✄✝✆✟✞✡✠❉➸❬➋ ❀ ✠✪✹ ✾ ✄ ✴✄✝✆ ✱ ✼ ✼❉❂■✄✻✺ ❆✝✴❂ ❀ ✠✪✼❣❍✟✞✱ ✼ ✱ ✹★✄❇❂ ❆⑨✿ ✆ ✱ ❍❞✠ ✳✟✱❯✾✻✱✽❆✂✳✟✱✽✴➎➴ ❂ ✳ ❂✎❍✲❂ ❆ ❂✎✆✟✼❉❂ ✾✻✱✽❿ ✆✟✹ ✳ ❂

✳✵✴✡✾✻❀✽✴❍✟✞✴✹✲❂ ✾✻✱ ✼ ✱✰✾ ✄ ❆ ❂■✞◗❊

q

✼✎➇❞✠ ❆ ❂✓✠ ❀ ✠✪✹★✄ ✱✤✣❝✳ ✠✓❍ ❆ ✠ ❿➀❆ ❂■✼ ➉ ✄ ✴✡❀ ✠ ❂ ✿ ✆ ✴ ❍ ❆ ✠✪❍❞✠ ✾ ✄✻✠ ✳✟✱ ✆✟✼❉❂➂✼❉❂■✹ ✱✽✴☎❆ ❂ ✾ ✆ ❀✽✴✹★✄❇❂ ❆✻✱✰✾ ✆✟✞☎✄ ✱✤✳ ❂

✱♠➴ ❍ ✱✽❆✝✴✱ ✹ ❀✽✴❂ ❂ ✳✟✿ ✆ ✴☎❆✝✴✡✳ ❂➨❍ ✱ ✞➢❂ ❂■✆✟✄✻✠ ❆ ❂✵➋❵❂✪✠ ✞✡✠✪✹ ❿ ✠ ✳✟✱ ✼❉❂ ✴✡✾✤✳✟✱❲✳✟✱ ➊✣❂■✹❝✠ ✾ ➋⑨✹✲❂ ✵⑨✹ ✴❄ ✱✽❆✻✾✝✴✡✳ ❂ ✳✟✱✓✳ ✠

✹✟➃❝✠

✱❅❀ ✠✪✼

✱✰✾ ✄✝✆

❂■✹★✄

✱✰✾❁✳

✴✡❀✰✱

❀✽✴ ❂■✄✝✆

✾❁✱

q

❿✜✱ ✹✟➃✲❂

❆✝✴ ❂✵➋

❍✲❂

✠❪❍

❆✻✱✰✾✻✾ ✆✟❍❞✠

✄✻✠

✳✟✱

✿ ✆ ✱ ❂ ✳✵✴❄ ✱✽❆✻✾✝✴✡✳ ❂ ✳✟✱❅✳✟✱ ❍ ❆ ✠✪➇✟✞✱ ✼❉❂ ✾ ✄ ❆ ❂■✄❇❂ ✳ ✠ ✾ ✺ ✴✼❣❍❞✠ ❆ ✄❇❂■✹★✄ ✱ ➋ ✱✰✾ ❍ ✱✰❀✽✴❂■✞☎✼ ✱ ✹★✄ ✱ ✹❝✠ ✿ ✆ ✱➈✳✵✴➊ ❆✻✱✰✾ ❍ ✱✽✴✄✻✠

❂ ✱✰✾ ✄✝✆ ✳ ❂■✹★✄ ✱✰✾●❀ ✠✪✼ ❂■❍ ✱ ✹✲❂ ✾ ✆✟✼❉❂ ✳✵✴✡✾✻❀✽✴❍✟✞✴✹✲❂ ✾✻✱ ✼ ✱✰✾ ✄ ❆ ❂■✞①✹❝✠ ✾✻✱ ✆ ❀ ✆ ❆✝❆✝✴✡❀ ✆✟✞✡✠✟➋▼❍❞✠ ✳✟✱ ❂ ❀✰✱✽✴✄❇❂ ❆ ➍✈✾✻✱ ✆✟✼

❍ ❆ ✠ ❿➀❆ ❂■✼❉❂ ✿ ✆ ✱ ✹ ✷ ✠ ✴✹ ❀ ✞☎✆✲❂❼❂ ✾❁❆✻✱♠➓✱✽❆ ✱ ✹ ❀✽✴❂ ✾✎➓✱✽✴✄❇❂ ✾ ❂✪✠ ✾ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠ ✾ ➻❝➋ ➹✤✱ ➸❬➋✥✞✱✰❀✰❀✽✴✠✪✹✲❂■✹ ✳ ✠ ➍✈✾✻✱ ➋ ✱ ✼

❄ ✱ ➊ ✳✵✴✡✾ ✄✻✠✟➋✵✄✻✠ ✳ ❂●❂➈✼❉❂■✄✻✺ ❆✝✴❂ ✿ ✆ ✱❵✱ ✹ ❿ ✞✡✠✪➇✲❂❣✠ ✾

❂■❍✟✁☎✄✝✆✟✞✡✠ ✾➈➼ ➋❝❈✵➋★✞✵➋✲➺ ✱ ✭✵❊

➪❯✆✲❂ ✾ ❍ ❆ ✠✪❍❞✠ ✾ ✄❇❂ ✾ ❂■✞☎✄ ✱✽❆ ✹✲❂■✄ ✴❄➀❂ ✾t✾❇✷ ✠ ➓✱✽✴✄❇❂ ✾ ❍✲❂ ❆ ❂⑨✆✟✼❉❂ ✾✻✱✽❿ ✆✟✹ ✳ ❂ ✳✵✴✡✾✻❀✽✴❍✟✞✴✹✲❂ ✾✻✱ ✼ ✱✰✾ ✄ ❆ ❂■✞✵✹❝✠ ➒ ✼✎➇ ✴✄✻✠

✳ ✠ ✾ ✼●✺✽✄✻✠ ✳ ✠ ✾ ✹★✆✟✼●✺ ❆✝✴✡❀ ✠ ✾ ❊

q

✾ ✄❇❂ ✳✵✴✡✾✻❀✽✴❍✟✞✴✹✲❂ ❀ ➃✲❂■✼❉❂ ➍✈✾✻✱ ✹❝✠ ❆ ✼❉❂■✞☎✼ ✱ ✹★✄ ✱ ➁❺✺✽✄✻✠ ✳ ✠ ✾ ➆⑨✆✟✼●✺ ❆✝✴✡❀ ✠ ✾ ✉✻✉♠➋

✸ ✠✪✼❣❍✟✞✱ ✼ ✱ ✹★✄✻✠ ✾❵✳✟✱

✹ ➉ ✞✴✡✾✻✱ ➆⑨✆✟✼●✺ ❆✝✴✡❀ ❂❉✠✪✆❺➁❺✺✽✄✻✠ ✳ ✠ ✾ ✸ ✠✪✼❣❍✟✆✟✄❇❂ ❀✽✴✠✪✹✲❂ ✴✡✾ ✉✻✉♠❊

❍ ❆✝✴✼ ✱✽✴☎❆ ❂ ✾ ✆ ❿✜✱✰✾ ✄ ✷ ✠

✄ ✱ ✼ ✾✝✴✡✳ ✠ ✴✼❣❍✟✞✱ ✼ ✱ ✹★✄❇❂ ✳ ❂❪✹✲❂ ✵⑨✹ ✴❄ ✱✽❆✻✾✝✴✡✳ ❂ ✳✟✱❅✳ ✠❉➁ ✴✹✟➃❝✠ ✱ ✼❃✄ ❆ ✱✰✾ ♦ ✴✡❀✰✱ ✹ ❀✽✴❂■✄✝✆ ❆ ❂ ✾❵✱ ✼

q

✹ ❿✜✱ ✹✟➃✲❂ ❆✝✴❂✵❊

✝ ✱ ✜✻❂ ➍✈✾✻✱ ❂ ✩❝❿ ✆ ❆ ❂●❋✵❊✞✵❊

➆⑤❂ ✾✻✱✰✿ ✆ ✱ ✹ ❀✽✴❂ ✳ ❂❵❍ ❆✝✴✼ ✱✽✴☎❆ ❂ ✳✵✴✡✾✻❀✽✴❍✟✞✴✹✲❂ ✱ ✄❇❂■✞ ❀ ✠✪✼●✠ ➓✠ ✴✲✾ ✆ ❿✜✱✽❆✝✴✡✳ ✠❅❂■✄ ❆❇➉✪✾ ➋❬✠❵✼●✺✽✄✻✠ ✳ ✠ ✳ ❂ ✾✻✱✰❀ ❂■✹★✄ ✱ ➋

➇✲❂ ✾✻✱ ❂ ✳ ✠⑨✹✲❂ ✾✕✱✰✿ ✆✲❂ ✶✬✫❬✱✰✾✥✳✟✱ ➲ ❆ ✠✙➅ ✳✟✱ ✹✗➋

✱ ✼ ➻❝❊✞✜➚❥❍✲❂ ❆ ❂❯❂ ❆✻✱✰✾ ✠✪✞☎✆ ✶✙✷ ✠ ✳✟✱ ✆✟✼ ✾✝✴✡✾ ✄ ✱ ✼❉❂ ✳✟✱ ✱✰✿ ✆✲❂ ✶✬✫❬✱✰✾ ✹ ✷ ✠

✞✴✹ ✱ ❂ ❆✻✱✰✾ ✾ ✆ ❆✝❿✜✱ ✹❝✠ ✸ ❂■❍✟✁☎✄✝✆✟✞✡✠❁➻❝❊

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