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Espectroscopia da galáxia NGC 3819 e companheiras

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(1)

✪✲✌✑✳✴✄✵✔✢✶✵✷✵✆✟✒✕☛✍✔✢✁

✸✺✹✼✻✢✽✹✡✾❀✿❀✹❂❁❄❃☎❅☎❃❇❆❉❈❉❃❋❊✘✹✡❆❉❈❉✿●❆

(2)

✸◆▼✝❖ ▼✂❊◗P❘▼❙❁❯❚❲❱❳❚❨✸✺❩❬❚❭❊◗▼✺✸✺❩✂P❪✸

❫❵❴❉❛✲❜✘❝❡❞✦❢✢❣❤❴✐❝◗❣❥❛❬❦❪❧♥♠❬❧♣♦q❧❨r❳s❧✉t✺❦✈❧♥✇①♦③② ④❤⑤⑦⑥⑨⑧⑩❜

②❶❣❤❷❸❛✂❧❨❹❬❺✂❜✵❦❪❢✢❧✝❴

❩✂✿❀❻❼❻❽❃☎❾✈✻❿✹✎➀

➁✼➂

✹✡■✚❻❼➃❉➄✦➅❑❃➆✻➇✿❀❈❉✹➉➈✹➋➊✺✸◆P➍➌❬❚❨❁❯➎✐P❪❩◆▼✺❩❬❚➐➏⑨❚❨❩❬❚❨❁◆▼✺❊①❩❬❚

❍❵P❪✸❯▼✂➎✗➑➒❚❨❁◆▼❯P✈➎

■✏➅❑■✛❾❽❃☎➓➔➃❉✿●❻❼✿●✻❼■➣→✢✹✡❾

✿↔✹✡✾✉→✢✹✡❾➇✹➣✹✛■✏➄✦✻❼❃☎❆✉➀

➁✼➂ ✹✡■↕❈❉■

❾➇✹✡➃➣❈❉❃❋❍✫❚❲➎✐❖❄❁◆❚➛❚❲❍➜➏

P✈➎✐P✈➝❥▼✲➞

➠✵➡➤➢❼➥➧➦☞➢❤➨✎➩➆➫➯➭✈➢✈➫☎➲➤➡➍➥✤➳➭➆➵➥➸➩✼➺✐➠✓➻✍➼◗➽◗➾✉➚

➪ ➻ ➪ ➨❡➠

➾✓➡➹➶➘➢✈➫☎➲➹➥❇➦☞➩➆➡❼➺✦➴✑➡➤➩➆➷✕➬✢➮✵➡❼➬✯➮✵➩❇➱➧➶✃➫✍❐❇➩❇❒◗➻ ➥➆❮☎➶➘➩⑦➦☞➢❨❰➔➶➘➱⑦➥⑦➻Ï➩❇➥➆➡➤➢❼❒✉Ð●Ñ✵➚❉ÒÔÓ✝Õ➟

❩✂❃☎→❉✹✡❾❽✻➇✹✡➅❑❃❇❆✤✻➇■Ö❈❉❃Ô➏➧✽

×

❻❽✿

✹❋Ø❲P✈➝➧❚⑨Ù✛Ø❤➊❯➏✝❍Ú➑

(3)

❾❼✹✡❈❉❃✐➀

■❉ê

➈✹ìë✛✆✐í✵✁ç→✑❃☎✾↔✹↕■✏→✑■✏❾❽✻❼➃❉❆❉✿❀❈❉✹✡❈❉❃î❈✦❃✛❾❼❃Ï✹✼✾❀✿❀❅☎✹✡❾➒❃☎❻✈✻➇❃ç✻➇❾❼✹✡➄✢✹✡✾●ï❉■✫❃✼ð❲✹✡■Ú➅Þ❃☎❻❼➅Þ■❵✻❼❃☎➅Þ→✎■

➃❉➅➐❻❽■✏❆❉ï❉■✦➞

✹✡■✏❻✛➅Þ❃☎➃❉❻✛→❉✹✡✿❀❻❇ð◆✂í✓✁❇✠✉✣✔✢ñ❳í✵✒ò✌ó❃✩ô❤✒✕✔❳ð◆→✎❃❇✾❀■✚✹✡➅Þ■✏❾❇ð

✹✡❾❼✿●❆❉ï❉■❉ð◆❈❉❃❇❈❉✿

✹✎➀

➁✡➂

✹✡■✚❃ì→✑■✏❾

❈❉❃❇❻❼❃☎➅Þ→✑❃☎❆❉ï✢✹✼❾❼❃☎➅➐✻

✹✡■Ö➄✎❃❇➅➐■Ö❈❉✿●õ❪✽

×➁

✿●✾❡→✢✹✡→✑❃☎✾◗❈✦❃Ô→❉✹✡✿❀❻❇➞

✹✡■✏❻❋➅❑❃❇➃❉❻✲✿●❾❼➅

✹✡■✏❻➒öç✌◗✖✘☛➯✒ò÷✯✌✘ð✉öç✔❉✶✓✖✘✔✢✜❄❃ç✧❵✔✦☛✼✖✘✆✟✜➤✜✕✆Ú→✑❃☎✾●■Ú✹✡→✑■✏✿❀■✦ð

■✏➅❑→❉✹✡❆❉ï❉❃❇✿øØ

❾❼✿●❻❼➅Þ■ù❃Ô✹✡➅❑✿●❅Ï✹✡❈✦❃

■✏❆✦❻❽✻❿✹✼❆➔✻❼❃☎❻❇➞

➈✹✲➅Þ✿❀❆❉ï✢✹Ô❻❼■✏➄✦❾❼✿❀❆✦ï✢✹✲ú❇✁☎✔❉û✝✆✟✜ò✔✛→✑■✏❾❲❃☎❆

ï✦❃☎❾⑦❆❉■✏❻❽❻➇✹

✹✡❻➇✹❂❃❯❆❉■✏❻❼❻❼✹✡❻➧ü✟✿❀❈✢✹✼❻❥❈❉❃❬✹✼✾❀❃

❾❼✿↔✹✐➞

➈✹Þ➅Þ✿❀❆✦ï✢✹ù✹Ïü➧✽■ç✪❋✔❉☛➯✳✴✆✟✜ò✒➤✶✘✔➣→✎❃❇✾❀■

✹✼❾❼✿❀❆✦ï❉■Ö❃Ô❃➸Ù✐❃☎➅Þ→❉✾❀■Ö❈❉❃❬ü✟✿❀❈✢✹✐➞

✹✡■Þë✛✌✎✳✴✒➤✶✘÷✯✌✎✁❬→✑❃☎✾❀✹Ö■✡❾❼✿❀❃❇❆✤✻❿✹✎➀

➁✼➂

✹✡■❉ð❉✹✼→❉❾❼❃❇❆❉❈❉✿❀❅☎✹✡❈❉■Þ❃❬✻➇➃❉❈❉■Ö➅❑✹✡✿❀❻✺➞●➞ø➞

✹✡■Þô❤í✵✒✕ý❵þ✂✔❉í✓✜✕✌✫→✑■✏❾➧✻➇■✟❈✢✹Ö✹✍ÿ❽➃❉❈❉✹✦ð✯✹✼✻➇❃❇❆✉➀

➁✡➂

✹✼■❑❃➒✹✡➅Þ✿❀❅☎✹✡❈❉❃✼➞

✹✡■✁ ✔❉÷✑✶✵✆➔☛ ✪✲✌✯☛✍☛✍✔✢✖✵✒Ô→✑❃☎✾●■✚✹✡→✑■✏✿❀■✗❃Ú✹✡→❉❾❽❃☎❆❉❈✦✿❀❅Ï✹✼❈❉■✴õ✕➃❉❆❉❈❉✹✡➅❑❃❇❆✤✻❿✹✡✿●❻☎ð❄❃☎❻❽→✎❃

✿↔✹✼✾øØ

➅Þ❃☎❆✤✻➇❃➒❆❉■Ö✿❀❆❳✽

× ➁

✿●■❂❈❉■Ö✻➇❾❼✹✡➄✢✹✡✾●ï❉■❉➞

➈✹

❾➇✹✼❆❉❈❉❃ù✹✡➅Þ✿

✹✄✂❵✆✟✜ò✜✆☎❶→✎❃❇✾↔✹î→❉❾❽❃

✿❀■✏❻❼✹✛✹✡➅❑✿●❅Ï✹✡❈✦❃✡ð

■✏❆✤ü✟✿●ü✞✝❃☎❆

✿↔✹✦ð❳✹✡→❉❾❼❃❇❆❉❈❉✿●❅Ï✹✡❈❉■✛❃

→✑■✏❾➧✻➇❃❇❾

■✏➅Þ→✢✹✡❾❽✻❼✿❀✾●ï✢✹✡❈❉■

■✏➅Þ✿

■❂■✡❻◆➅Þ■✏➅Þ❃☎❆✤✻➇■✡❻⑦❈❉✿●õ✈✽

×➁

❃☎✿●❻➧❈❉➃❉❾❼✹✡❆✤✻➇❃❬✻➇■✟❈❉■Ö❃☎❻✈✻➇❃➒✻➇❃❇➅❑→✑■❉➞

✹✡■✏❻✩✹✡➅Þ✿

■✏❻Ú❃✚→❉❾❽■✡õ✕❃☎❻❽❻❼■✏❾❽❃☎❻★❈✢✹ ✹✡❻❽✻❼❾❼■✡õ✈✽

×

❻❼✿

✹✦ð✠✟❂☛✼í✵✶✘✌☛✡ç÷✑í✵✒ò✔✦☛✟ð✲ë✛✔✌☞✘✒ò✖✍✟❂✔✢✜✏✎

✄✵✔❉☛➯✖✵✔❳ð✒✑◗✆✐✜ò✒✕✄✝✆✓✡✛✜✔☞✎✆✟✁✡ð✖✕✎✌✘✗✔❉✌✙✑◗☛✍✔✢✶✓✞✤✒ò✁Ï✞✏✌✘ð❋ô❲✆➔✔✢✶✵✖✵☛✍✌✭✖✘✆✚✡çû✵☛➯✆✟í❨ðÔô❲✆➔✔✢✶✵✖✵☛✍✌

✪✲✷✓✒✕✆➔ý✤✔❳ð✑ô❤í✵✒✕ý✜✛✲✷✘✆✟✳✜☎◗✁❇✠☞✌✣✢◗✜ò✒òý✢ð✣✤ ✔❉☛➯✞✏✆✟✜ò✌✥✤③✆✟✖✘✆✟✒ò☛✍✌✑✁✡ð✞✤③✔✦☛✼✞✏✌✑✁✄✕❡í✓✜ò✒✕✔✢✶✵✌✘ð✯öç✌✦✎

✖✘☛✼✒✕÷✯✌✁✛ ✔❉☛➯✁Ï✒✕✔❳ð✞✧Ô✣✣ ✆✟☛✍÷✑✒✕✌✴ô❲í✓✒✕ý✢ð✦➓➔➃❉❃✼ð

✹✡❈✢✹❂➃✦➅ ✹❂❻❼➃✢✹Ö➅❑✹✡❆❉❃☎✿●❾➇✹✦ð

■✡❆➔✻❼❾❼✿●➄❉➃◗✽

×

❾❼✹✡➅ →✢✹✡❾➇✹

✹ç❾❼❃☎✹✡✾❀✿●❅Ï✹✎➀

➁✼➂

✹✡■ç❈❉❃❇❻❽✻❼❃Ö✻❼❾➇✹✡➄❉✹✡✾❀ï❉■✦➞❋❚⑩➈✹✄★Ô✆✟☛✍✔❳ð❡➓✟➃✦❃✚✽❃✲➃❉➅î✹✛✹✼➅❑✿

✹❑✿●❆

❾☎✽

×

ü✏❃❇✾⑨→✢✹✡❾❼✹î✻➇■✟❈✢✹✡❻

✹✡❻❄ï❉■✏❾❼✹✡❻☎➞

➈✹✫✪❂✜✤✣✔✢í✵✖✓✒✕✔✩✤ ✆✐✶✵✖✘✆✐✁❵✖✵✆✫✪Ö✜➤✒✔☞✑✆✐✒✕☛✍✔❳ð✬✤ ✔✦✥✭✑◗✔❋✣í✓✶✵✖✘✆✟ý✮✎✯✡çû✵✔✢✶✓✁Þ❃Þë➣✌✑✳❶✒ò✶✘÷✑✌✑✁

✖✘✔ ✪❋✌✑✁❇✠☞✔★öç✌◗✖✘☛➯✒ò÷✑í✘✆✐✁❬→✑❃☎✾❀✹✡❻

■✏❆✤✻❼❾❼✿❀➄✦➃❉✿❽➀

➁✼➂

■✏❃☎❻⑦❈✢✹✼❈✢✹✡❻◆✹Þ❃❇❻❽✻❼❃➒✻❼❾➇✹✡➄❉✹✡✾❀ï❉■✦➞

✹✡■✏❻⑦õ✕➃❉❆

✿❀■✏❆⑦✽✹✡❾❼✿●■✏❻➧❈❉■Ö❈❉❃❇→✢✹✡❾❽✻➇✹✡➅Þ❃☎❆✤✻➇■Þ❈❉❃❬õ✈✽

×

❻❽✿

✹✐ð✦→✑❃☎✾↔✹

■✏❆✤✻➇❾❼✿●➄❉➃❉✿✈➀

➁✡➂

✹✡■Ö✹✡❆✰✝■✏❆❉✿❀➅❑✹✦➞

✹✡■✱✪Öû✓✁☎✆➔☛✲☞✦✔✦✠✝✣✌✯☛➯✒ò✌✴✖✵✌✥✤③✌✑✶✎✠Ï✆✫þ✂✔✢✜✕✌✑✳✴✔❉☛❋→✎❃❇✾❀■❂✻➇❃❇➅❑→✑■Ö❈❉❃➒■✏➄❉❻❽❃☎❾❽ü✼✹✎➀

➁✼➂ ✹✡■❉➞

➈✹✛✪✒✡çþÔ✠✧✉ð✦→✑❃☎✾❀■Þ✹✡→✑■✏✿●■✴✳✢❆✢✹✡❆

❃☎✿●❾❼■❉➞

➈✹✵✑✶✡çþÔ✖✤ ú✍✙✸✷ò→❉❾❽■

❃☎❻❼❻❽■❑➝➧❚✺✹①❏✏❏✼✻✌✽✲✾✮✿❁❀✮❂❲→✑❃☎✾❀■✲❻❼➃❉→✑■✏❾❽✻❼❃❃✳✢❆✢✹✡❆

❃☎✿●❾❼■Ö❈✢✹✡❈✦■ù→✢✹✡❾➇✹

✹✡➓➔➃❉✿●❻❼✿❽➀

➁✼➂ ✹✡■ù❈❉❃

■✏➅Þ→❉➃✦✻➇✹✡❈❉■✏❾❽❃☎❻❇➞

➈✹✁❄➣✶✵✒✆☞✑✆➔☛➯✁Ï✒➤✖✘✔✢✖✘✆➉✪✲✌✯☛➯✶✘✆✐✜ò✜✵✷ò❩✂❾☎➞✩❅❲❃❇❾❽ü✼✹✡❆✤✻❑❖✓❃❇❾❼❅☎✿❀✹✡❆✣❂➸ð➧→✎❃❇✾❀■✗✹✡→✑■✏✿❀■✜✳✢❆✢✹✼❆

❃❇✿❀❾❼■

→✢✹✡❾

✿❀✹✡✾➹ð✐→✢✹✡❾➇✹Ö✹ù➅Þ✿❀❻❼❻

✹✡■Ö■✏➄❉❻❽❃☎❾❽ü✼✹

(4)

P❤✻❼ï✢✹✡❆✦●✯ê

✙✛✌◗✖Úõ✕■✏❾✝✻❼ï❉❃❄■✏→❉→✑■✏❾❽✻❼➃❉❆❉✿●✻■❍✲✻➇■Ô❈❉■Ô✻❼ï❉✿❀❻✺❏❤■✏❾❑●Ö✹✼❆❉❈❳ð✟✹✼✻❨✻➇ï❉❃◆❻➇✹✼➅❑❃⑦✻➇✿●➅❑❃✼ð✏✻➇■Ô✹

ï❉✿●❃❇ü✡❃

✹ù❈❉❾❼❃☎✹✡➅↕➞

➅✒❍ì→✢✹✼❾❼❃☎❆✤✻❼❻☎ð✵❬í✓✁➆✠⑨✣✔✢ñ❳í✵✒ò✌✗❃Þô❤✒✕✔❳ð◗õ✕■✏❾❬✻➇ï❉❃❇✿❀❾❬✾●■✍ü✡❃✡ð

✹✼❾❼❃✡ð✘❈❉❃❇❈❉✿

✹✼✻➇✿●■✏❆★✹✡❆❉❈✩õ✕■✏❾✂✻➇■

→✑❃☎❾❽õ✕■✡❾❼➅♣❻❽■

■✐■✟❈✛✻➇ï❉❃❇✿❀❾⑦ï✢✹✡❾❽❈➣→✢✹✡→✑❃☎❾❄■✡õ✓→✢✹✡❾❼❃❇❆✤✻➇❻☎➞

➅✒❍Ö➄❉❾❽■✡✻➇ï❉❃❇❾❼❻❤öç✌◗✖✘☛✼✒✕÷✯✌✘ð✟öî✔✢✶✓✖✘✔✢✜✘✹✡❆❉❈❑➅✒❍Ö❻❼✿●❻❽✻❼❃☎❾❤✧❵✔❉☛➯✖✘✆✐✜ò✜✕✆✲õ✕■✏❾✝✻➇ï❉❃❇✿❀❾

■✏❆✦❻❽✻❿✹✼❆➔✻

❻❼➃✦→❉→✎■✡❾❽✻Ïð

■✏➅Þ→✢✹✡❆❁❍➣✹✡❆❉❈➣õ✕❾❼✿●❃☎❆❉❈✦❻❼ï❉✿●→❳➞

➅✒❍✛❆❉✿●❃

❃✡ð✢ú❇✁☎✔❉û✝✆✟✜ò✔❡ð❉õ✕■✏❾▲✳✢✾❀✾❡■✏➃❉❾⑦ï❉■✏➃✦❻❼❃❋✹✡❆❉❈↕■✏➃❉❾❼❻⑦✾●✿●ü✡❃☎❻❄■✡õ✢ÿ❽■✲❍➔õ✕➃❉✾●❆❉❃☎❻❽❻☎➞

ë✛✌✎✳✴✒➤✶✘÷✯✌✎✁✂õ✕■✏❾➧✻❼ï❉❃➒■✏❾❼✿●❃☎❆✤✻❿✹➯✻➇✿❀■✡❆❳ð❉✹✡→✦→❉❾❼❃❇❆➔✻❼✿

❃☎❻❼ï✦✿❀→❳ð✯✹✡❆✦❈❵❃➆ü✏❃☎❾▼❍➔✻➇ï❉✿●❆

➅Þ■✏❾❽❃ù➞●➞ø➞

ô❤í✵✒✕ý❵þ✂✔❉í✓✜✕✌❵õ✕■✏❾❄✹✼✾❀✾❳ï❉✿●❻⑦ï❉❃☎✾●→❳ð✢✹✼✻❽✻➇❃❇❆➔✻❼✿❀■✏❆↕✹✡❆✦❈↕õ✕❾❽✿❀❃☎❆✦❈❉❻❼ï❉✿●→❳➞

①✔✦÷✎✶✘✆➔☛➣✪❋✌✯☛✍☛✍✔✢✖✓✒❳õ✕■✏❾❤✻➇ï❉❃✂❃❇❻❼❻❽❃☎❆✤✻➇✿❀✹✡✾❡❻❽➃❉→❉→✑■✏❾❽✻❄✹✼❆❉❈➣✹✡→❉→❉❾❽❃☎❆✤✻➇✿

❃❇❻❼ï❉✿●→❳ð❉❃☎❻❽→✎❃

✿❀✹✡✾❀✾◆❍

✹✼✻⑦✻❼ï❉❃➒➄✎❃

✿❀❆❉❆✦✿❀❆

■✡õ✵✻➇ï✦✿❀❻❖❏❥■✡❾❑●✯➞

➅✒❍îõ✕❾❽✿❀❃❇❆❉❈P✂❵✆✟✜ò✜✆☎✫õ✕■✏❾➧→❉❾❽❃

✿●■✏➃❉❻❥õ✕❾❽✿❀❃❇❆❉❈❉❻❼ï✦✿❀→❳ð

■✏➅Þ→✢✹✡❆❁❍✏ð✦✹✡→❉→❉❾❽❃☎❆✤✻➇✿

❃☎❻❽ï❉✿❀→❡ð✯✹✡❆❉❈çõ✕■✏❾

✻➇■Ö❻❽ï✢✹✡❾❼❃✖❏❄✿ø✻➇ï↕➅❑❃✂✻❼ï❉❃➒ï✢✹✡❾❼❈➣➅Þ■✏➅Þ❃☎❆✤✻➇❻❄❈❉➃❉❾❽✿❀❆

✻❼ï❉✿❀❻⑦✻❼✿❀➅Þ❃✡➞

➅✒❍Þõ✕❾❼✿❀❃❇❆❉❈❉❻⑦✹✼❆❉❈✛→❉❾❼■✼õ✕❃☎❻❼❻❽■✏❾❼❻❥■✡õ✘✻➇ï❉❃❬✹✼❻❽✻➇❾❽■✏→❉ï❁❍✟❻❼✿

❻⑦✾↔✹✼➄❳ð✌✟❂☛➯í✵✶✵✌◗✡ç÷✑í✵✒ò✔❉☛➔ð✦ë➣✔❁☞✘✒ò✖

✟❂✔✢✜✕✄✓✔✦☛✼✖✘✔❳ð❘✑◗✆✟✜➤✒✕✄✝✆❙✡✛✜✔☞✑✆✟✁✡ð❚✕❡✌✘✗✔❉✌❯✑◗☛✍✔✢✶✵✞✤✒➤✁☎✞✏✌✵ð✯ô❨✆➔✔✢✶✵✖✵☛✍✌ ✖✘✆✜✡çû✓☛✍✆✟í❨ð✯ô❲✆➔✔✢✶✵✖✵☛✍✌

✪✲✷✓✒✕✆➔ý✤✔❳ð✑ô❤í✵✒✕ý✜✛✲✷✘✆✟✳✜☎◗✁❇✠☞✌✣✢◗✜ò✒òý✢ð✣✤ ✔❉☛➯✞✏✆✟✜ò✌✥✤③✆✟✖✘✆✟✒ò☛✍✌✑✁✡ð✞✤③✔✦☛✼✞✏✌✑✁✄✕❡í✓✜ò✒✕✔✢✶✵✌✘ð✯öç✌✦✎

✖✘☛✼✒✕÷✯✌❱✛ ✔❉☛➯✁Ï✒✕✔❳ð❇✧Ô✣✣ ✆✟☛✍÷✑✒✕✌qô❲í✓✒✕ý✢ð❲❏❄ï❉■✦ð⑨❃Ï✹

ï ■✏❆✦❃î✿❀❆✴ï❉✿❀❻❉❏➧✹❳❍✏ð

■✏❆✤✻➇❾❼✿●➄❉➃✦✻❼❃☎❈✴õ✕■✏❾Ô✻➇ï❉❃

➁❇➁

■✏➅Þ→❉✾❀✿●❻❼ï❉➅Þ❃☎❆✤✻➒■✡õ❤✻➇ï❉✿●❻✖❏❥■✏❾❨●✯➞✛▼✺❆❉❈◗★❋✆➔☛✍✔❳ð✘❏❄ï❉■✫✿●❻Ô✹✡❆✗✿●❆

❾❽❃☎❈❉✿●➄❉✾❀❃ùõ✕❾❽✿❀❃☎❆✦❈★õ✕■✏❾Ô✹✡✾●✾

✻➇✿●➅❑❃✼➞

✤ ✔✦✥❩✑◗✔Ô✣í✵✶✓✖✘✆➔ý✮✎❬✡çû✵✔✢✶✵✁❋õ✕■✏❾➧✻❼ï❉❃

■✏❆✤✻➇❾❽✿❀➄❉➃✐✻➇✿❀■✡❆❉❻

✿●ü✡❃☎❆✛✻➇■Ö✻➇ï✦✿❀❻▲❏❤■✏❾❑●✯➞

❩✂❃☎→✢✹✼❾❽✻➇➅Þ❃☎❆✤✻◆■✡õ❲❭✝ï❪❍✟❻❽✿

❻❴❫✯❻❼❃☎❾✈ü✼✹✡❆✤✻➇❻❄õ✕■✏❾❄✹✡❆❉■✏❆❁❍✟➅Þ■✏➃❉❻

■✏❆✤✻❼❾❼✿❀➄✦➃✦✻➇✿●■✏❆❉❻☎➞

✤ ✌✎í✵✶✎✠❑þ✂✔✢✜✕✌✑✳✴✔❉☛P✪Öû✉✁❇✆✟☛❵☞✦✔✦✠☞✌✯☛❵☎✗õ✕■✏❾➧✻❼ï❉❃➒■✏➄❉❻❽❃☎❾❽ü✼✹✼✻❼✿❀■✏❆❉✹✡✾❡✻➇✿●➅❑❃✼➞

✪✒✡çþ❋✠✧Úõ✕■✏❾➧✻➇ï❉❃✖✳✢❆❉✹✡❆

✿❀✹✡✾❳❻❽➃❉→❉→✑■✏❾❽✻☎➞

✑✶✡çþÔ✖✤ ú✍✙❛✷ò→✦❾❼■

❃☎❻❽❻➒➝➧❚❜✹ ❏✏❏✮✻❝✽✲✾✮✿❁❀❞❂❥õ✕■✏❾❡✳✢❆✢✹✼❆

✿❀✹✡✾✓❻❽➃❉→❉→✑■✏❾❽✻

✿●ü✡❃☎❆✫✻❼■ç✹

➓➔➃❉✿øØ

❻❼✿ø✻➇✿●■✏❆✛■✡õ

■✏➅Þ→❉➃✦✻❼❃☎❾❼❻❇➞

✪❋✌✑☛➯✶✘✆✟✜➤✜▲❄➣✶✵✒✆☞✑✆➔☛➯✁Ï✒✠❢☎✫✷ò❩✂❾☎➞✺❅❲❃☎❾❽ü✼✹✡❆✤✻❯❖✓❃❇❾❼❅❇✿↔✹✡❆✣❂➸ð✢õ✕■✏❾⑦✻➇ï❉❃Ô→✢✹✡❾✈✻➇✿↔✹✼✾✶✳✢❆✢✹✡❆

✿↔✹✼✾◗❻❼➃❉→✐Ø

(5)

q

✐❦❥♦r✫s

t✈✉①✇✔②✵✇✔③ ♠❁✐❁♠

②✄t ✐❦❥❱s

t

❧✌♠♦♥❬♥♣♠❵⑤

t❢✇ r❬❥

q ❧❚❥❵♥❬♥

t

s

t✈③■t❢② ❧❚❥♦r⑥s♠✮r

♠❁✐❁♠⑨⑧

✐❁♠❶⑩❦❤

♠✮❷❘♠✭s

t

②❋❸ ♠❢❧❹s

❺✔③

❥⑨♠

♥✈❷✶❥

✉①✇

⑧❵r❬❥✄✐❁♠❻⑧

✐❁♠

❥♦❷✌⑩

t❬❸❢✇✔②✄t

❥✒⑩❦❤

♠✮❷✶❥❱s

t✈✇ r❼r

♥❽s❥♦r

q❩❾ ❥

②✄t

t

t

♥❾ ♠❵❿

❥✄♠

✉①✇✔②✄t

q

t

t

t✒t❢✉①✇✔②✵✇ ❷❘♠

♠➀s♠❵⑤✮❤✌♠

④ ♥❖❧❹s

♠✮r✯❥❵♥➁♥❘➂♠❦❥✄♠

③➃✇ ❷❦⑤

✐❦❥❵♥❬➄

t

♠❁✐❁♠♦♥✈♠♦♥✒♠

✉①③➃✇✔③ ❤✌✐

t

④ ♥❵❥ ❾ r

✇✔②✄t

❥♦r❼r

t✠➅

❤✌♠✮❷❘✐❦❥❶⑧✮❥

✉①③ ♠P♠✱♠

✉➆t ⑤✮r

q

r

③➇t

❿❵♠❉❧✌♠♦♥❬♥♣♠✄♠❦❥

❥♦❷

❥✄✐❦❥❃❧❘r❨♠❵❿

t

r

q

♠❻♥

t

♠❁➈❬♠✱♠

③➉✇ ❷❦⑤

✐❦❥✱❥✱❥✮➈➃➊

t❢③➉✇ ⑧✮❥

④ ♥♣♠

r

❾ s

❺➋❸ ❥✠♥

t✵t❨➌❞③➃✇ ❷❦⑤✮❤

t

➄⑥r

t

♥❑⑤❁♠

♠❁✐❁♠P♠

✇✔②

t

r ❾

t❢✇✆➍❸

♠❦❥

q

t

r

❥♦r

✐❁♠❁✐

t✠❸❬t

t❉③➇t r❼r

t

❷✶❥❵➄

❥♦❷

♠❁✐❁♠✱♠

t❢✉➆t ⑧♦♠

➍❸

♠❦❥

q

✇✆➍❸

♠❦❥✒♥

t

r

✇➋❸

♠✮r

❿❵♠✱✐

♠✮❷

③■t ✐❁♠

❥♦r

③■t

④ ❥✮✐s

❥✒♥

t

♠✮❷

✇➉➅

✇✔✉

❥✄♠

(6)

➣↕↔

✰ ú☎✶✎✠Ï☛➯✌❳✖✓í❡➙✞✦✗✔❉✌ ✰

➛ ✑✵í✵✶✵✖✵✔✢✳✗✆✐✶✑✠☞✌✑✁❑✆✫öî✆❪☞◗✒➤✁✼✗✔✦✌❶✖✘✔✴ô❲✒✕✠Ï✆✟☛✍✔✦✠☞í✵☛✍✔ ✬

❏✐➞➜✽ ➝❥✾↔✹✡❻❽❻❼✿➜✳

✹✎➀

➁✼➂

✹✡■❑❍❵■✏❾❽õ✕■✡✾☞✽■

✹✲❈✦❃✲➑➒✹✡✾Ï✽✹➯Ù✐✿↔✹✡❻➋➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞ ➝

❏✐➞❏ ➝❥✾↔✹✡❻❽❻❼✿➜✳

✹✎➀

➁✼➂ ✹✡■Þ❚❨❻❽→✎❃

✻❼❾➇✹✡✾✘❈❉❃❋➑➒✹✡✾☞✽✹➯Ù✐✿❀✹✡❻ ➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞ ➞

❏✐➞❏✟➞➜✽ ❩✂❃❇❻

❾❽✿❽➀

➁✼➂

✹✡■Ö❈❉■✏❻◆❚✝❻❼→✑❃

✻❼❾❼■✏❻◆❈❉❃❋➑➒✹✡✾☞✽✹➯Ù✐✿❀✹✡❻⑦✸❯■✡❾❼➅❑✹✡✿❀❻ ➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞ ✻

❏✐➞❏✟➞❏ ❩✂❃❇❻

❾❽✿❽➀

➁✼➂

✹✡■Ö❈❉■✏❻◆❚✝❻❼→✑❃

✻❼❾❼■✏❻◆❈❉❃❋➑➒✹✡✾☞✽✹➯Ù✐✿❀✹✡❻❖❭✓❃

➃❉✾●✿↔✹✡❾❽❃☎❻ ➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞ ❀

❏✐➞➟➝ ▼③❊✘❃❇✿◗❈❉❃❉➠❯➃❉➄✦➄❉✾❀❃✂➞Ô➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➡✽Ï▲

❏✐➞➟➝✐➞➜✽ ❩✂❃❇❻❽ü✟✿❀■Ö→✢✹✡❾❼✹ù■Þ➌❨❃❇❾❼➅Þ❃☎✾❀ï✦■❉ð❉❩✂✿●❻❽✻✼✝✹✼❆

✿❀✹✦ð✦❃Ô✹ùP❘❈✢✹✡❈❉❃➒❈❉■❑➊❯❆✦✿●ü✏❃❇❾❼❻❽■ ➞❋➞Ô➞Ô➞❋➞➡✽☞❏

❏✐➞➟➝✐➞❏ ➢ ➎✐✿

❆✦✿➜✳

✹✡❈❉■Ö➏➧✽

×

❻❼✿

■ù❈✢✹Þ❚⑨Ù✐→✢✹✼❆❉❻

✹✡■î➝✛✽■✏❻❽➅❑✿

✹♣➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➡✽♣➤

❏✐➞➟➝✐➞➟➝ ➝➧✹✡✾

➃❉✾❀✹✡❆❉❈❉■Ö✹❑➝❥■✏❆❉❻✈✻❿✹✡❆✤✻❼❃❋❈❉❃❉➠◆➃❉➄❉➄❉✾●❃ ➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➡✽♣➤

❏✐➞➟➝✐➞➥➤ ❭✓✹✡❾➇✹✡➅Þ❃❇✻❼❾❼✿●❅Ï✹✡❆❉❈✦■Ö❚❨➓➔➃✢✹✑➀

➁✡➂ ■✏❃❇❻

■✡➅✙➠ ➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➡✽♣➤

❏✐➞➥➤ P❘❆➔✻❼❃☎❾❼✹✎➀

➁✡➂

■✏❃❇❻✂➑❬❾➇✹Ïü✟✿●✻➇✹

✿●■✏❆✢✹✡✿●❻Ö➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➡✽❵➞

❏✐➞➥➤✦➞➜✽ ➏✢➃❉❻

✹✡■Ö❃☎❆✤✻➇❾❽❃❂➑➒✹✡✾☞✽✹✍Ù✦✿❀✹✡❻③➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➡✽❵➞

❏✐➞➦➞ ▼✺➅❂➄❉✿●❃☎❆✤✻➇❃❇❻◆❩✂❃☎❆❉❻❽■✏❻✂➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➡✽❳✻

❏✐➞➦➞✟➞➜✽ ➑❬❾❼➃❉→✑■✏❻◆➝❥■✏➅Þ→✢✹

✻➇■✏❻❄❈❉❃❉➠◆✿

●➔❻❼■✏❆❵➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➡✽❳✻

❏✐➞➟✻ ❁◆❃➆ü✐✿●❻

✹✡■Ö❈✢✹Ö❊◗✿●✻❼❃☎❾❼✹✼✻➇➃❉❾❼✹Þ➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➡✽❳➧

❏✐➞➟✻✐➞➜✽ ➑❬❾❼➃❉→✑■❑➝❥■✏➅Þ→✢✹

✻❼■Ö❈❉❃❉➠❯✿

●➔❻❽■✏❆➨➞✼➧③➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➡✽❳➧

❏✐➞➥✻✦➞◆✽✏➞◆✽ ✸✺➑❋➝➩➝❞➧✌✽❵✿✛➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➡✽❳✿

❏✐➞➥✻✦➞◆✽✏➞➘❏ ➠➫➞✮➧✏❩✴✽ù➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✭❏✡❏

❏✐➞➥✻✦➞◆✽✏➞➥➝ ➠➫➞✮➧✏❩➒❏î➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✭❏✡❏

✬ ✡✛✁✛✙ç✔✢✜✤✣✔✐✥✘✒ò✔❉✁Ö✆✫✔✢✁P✪ùû✉✁☎✆➔☛❵☞❉✔❲➙✞❚✗✌✑✆✟✁

➝✦➞➜✽ ▼✺❻❯➑Ô✹✼✾☞✽✹➯Ù✐✿↔✹✼❻ ➞Ô➞❋➞Ô➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✭❏✼➝

➝✦➞❏ ▼✺❻➁➢✂➄❉❻❼❃❇❾❽ü✼✹✎➀

➁✡➂

■✡❃☎❻♣➞Ô➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✭❏✼➝

➝✦➞❏✟➞➜✽

▼❯❆

➃❉✾●■Þ❈✦❃✠❭✵■✏❻❼✿✈➀

➁✡➂

✹✡■ ➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✭❏✮➞

➝✦➞➟➝ ➢ ❩✂✿❀❻❽→✎■✡❻❼✿●✻❼✿●ü✡■ù❈❉❃❋➝➧✹✡❾

✹✼❻⑦▼

■✡→❉✾↔✹✡❈❉✹✡❻☎ð✑➝⑦➝➧❩➉➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✭❏✮➞

➝✦➞➥➤ ❩✖➭⑦➎✌❭⑦ê✢❩✂■✏➃❉➄✦✾❀❃Ô➎✐→✑❃

✻➇❾❼■

❾➇✹✡→✦ï➉➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✭❏✼✻

➝✦➞➥➤✦➞➜✽ P❘❆✤✻➇❾❽■✐❈✦➃✉➀

➁✡➂

✹✡■↕➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✭❏✼✻

➝✦➞➥➤✦➞❏

➢✂→✦✻❼✿

✹❙➞❋➞Ô➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✭❏✼✻

➝✦➞➥➤✦➞➟➝

▼❯❆

➃❉✾●■Þ❈✦❃❋❁❄❃☎❈✦❃Ô❃Ô❁❄❃☎❻❽■✏✾❀➃✉➀

➁✼➂ ✹✡■Þ❚✝❻❼→✑❃

✻❼❾➇✹✡✾ ➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝✡▲

➝✦➞➥➤✦➞➥➤ ▼❙❚✝❻

■✏✾❀ï✢✹ù❈✢✹✼❻❯➏✢❃❇❆❉❈✢✹✡❻ ➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝✮➝

➝✦➞➥➤✦➞➦➞ ➝❥➃❉❾✈ü✼✹✡❻◆❩✂✿

❾❉✽■✏✿

✹✡❻ ➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝✮➝

➝✦➞➥➤✦➞➟✻ ❚✝❻❼→✑❃

✿➜✳

✹✎➀

➁✡➂

(7)

➤❉➞➜✽ P❘❆➔✻❼❾❼■✟❈❉➃✉➀

➁✼➂

✹✡■✩➞❋➞Ô➞❋➞Ô➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝❞❀

➤❉➞❏ ✸❯❃

❃☎❻❽❻❼✿❀❈❉✹✡❈❉❃Ô❈✢✹❑❁❄❃☎❈✦➃✉➀

➁✡➂

✹✡■Ö❈❉❃❋❩❬✹✡❈❉■✡❻❬➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝❞❀

➤❉➞➟➝ ❭❨❾❽❃☎→✢✹✼❾➇✹✎➀

➁✼➂

✹✡■Ö❈✢✹✡❻❄P❘➅î✹

❃☎❆❉❻ ➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝✮➧

➤❉➞➟➝✐➞➜✽ ❚✝❈❉✿✈➀

➁✡➂

✹✡■Ö❈❉■✏❻❯➝➧✹✡➄✑❃✐➀

✹✡✾❀ï✦■✏❻❄▼✺❻❽✻❼❾❼■✏❆✰✝■✏➅❑✿

■✏❻ ➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝✮➧

➤❉➞➟➝✐➞❏ ▼❯❈❉✿❽➀

➁✼➂

✹✡■Ö❈✢✹❶➭➧✹✡❻❼❃➒❈❉❃Ô❩❬✹✡❈✦■✏❻❄❈❉■⑨➢❬➄✦❻❼❃☎❾✈ü✼✹✼✻✯✽■✏❾❽✿❀■ ➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝✮➧

➤❉➞➟➝✐➞➟➝ ➝❥❾❽✿↔✹✎➀

➁✼➂

✹✡■❋❈✦■❋▼❯❾❼➓➔➃❉✿●ü✡■✲❈❉❃➁❭✉✹✼❾♦✝✹✡➅Þ❃❇✻❼❾❼■✏❻▲➳

t

♠✮❤

✉①③

→✢✹✡❾❼✹❋■ÔP❘❆❉❻❽✻❼❾❼➃❉➅Þ❃☎❆✤✻➇■✲➊◆✻❼✿øØ

✾●✿❀❅Ï✹✼❈❉■ù❃➒❈❉■Ö▼✺❾❼➓➔➃❉✿øü✏■Þ❈❉❃➒❖✓❾❼✹✡❈❉➃✉➀

➁✼➂

✹✡■Þ❈❉❃❉❭✉✹✡✾❀✹☞ü✟❾❼✹✡❻✈Ø❪➝❥ï✢✹Ïü✏❃❭➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝✮➧

➤❉➞➥➤ ▼✺❆❄✽✹✡✾●✿❀❻❽❃❬❚✝❻❽✻❿✹➯✻☞✽

×

❻✈✻➇✿

✹✡❻❄❈❉■✏❻◆❚✝❾❼❾❽■✏❻ ➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝✮✿

➤❉➞➦➞ ❚❨❻✈✻✯✽✹

✿❀■✏❻❡➭✛✽✹✼❻❼✿

■✏❻⑦❈✢✹Þ❁◆❃❇❈❉➃✉➀

➁✼➂

✹✡■❑❈✦❃❋❩❬✹✼❈❉■✏❻♣➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➵➤❞➝

➤❉➞➟✻ ❚⑨Ù✟✻❼❾➇✹✎➀

➁✼➂

✹✡■❑❃❋➝➧✹✡✾●✿❀➄❉❾❼✹✎➀

➁✡➂

✹✼■❂❈❉■✏❻◆❚✝❻❼→✑❃

✻➇❾❼■✡❻ ➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➵➤❁➞

➤❉➞➟✻✐➞➜✽ ❩✂❃➆✻➇❃☎❾❽➅❑✿●❆✢✹✎➀

➁✼➂

✹✡■ù❈✢✹✡❻⑦➌❨❃☎✾●■

✿❀❈✢✹✼❈❉❃☎❻❄❁◆✹✡❈❉✿❀✹✡✿❀❻ ➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸➞♦➤

öç✆✟✁Ïí✓✜✠☞✔✢✖✘✌✑✁Þ✆✫ë➣✒➤✁Ï✞✤í✵✁Ï✁❞✗✌✯✆✟✁

➞✐➞➜✽ ▼③❚⑨Ù✟✻❼❾➇✹✎➀

➁✼➂

✹✡■❑❈✦■✏❻◆❚❨❻❽→✎❃

✻❼❾❼■✏❻ ➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸➞✮❀

➞✐➞❏ ✸✂➑Ô➝➻➝❞➧❝✽❵✿ ➞❋➞Ô➞❋➞Ô➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙✻✏❏

➞✐➞➟➝ ➠❃➞✮➧✏❩✴✽➛➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀✡❏

➞✐➞➥➤ ➠❃➞✮➧✏❩➒❏q➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀✼✿

➞✐➞➦➞ ➎✐➃❉➅ ✹✡❾❼✿●■ù❈❉■✏❻❄❁❄❃☎❻❼➃✦✾●✻❿✹✼❈❉■✏❻✽ ➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧✮✻

➞✐➞➦➞✟➞➜✽ ▼❯❆❄✽✹✡✾❀✿●❻❼❃❬❈❉■✡❻❄❚❨❾❽❾❼■✏❻◆❃➒❁❄❃☎❻❼➃✦✾●✻❿✹✼❈❉■✏❻◆➏✉✿❀❆❉✹✡✿❀❻❂➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧✮➧

➞✐➞➟✻ ❚❨❻✈✻➇✿●➅î✹✼✻❼✿●ü✼✹✲❈✢✹❑❍✫✹✡❻❽❻➇✹Ö❈❉❃Ô✸✂➑Ô➝➼➝❞➧❝✽❵✿ ➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧✮✿

✪✲✌✑✶✵✞✤✜➤í✵✁❞✗✌✯✆✟✁Þ✆❵þ✂✆➔☛➯✁☎✄✝✆✟✞✡✠✍✒✆☞✦✔✢✁ù✄✓✔✦☛➯✔★✌❯✑✘í◗✠✍í✵☛✍✌ ✱

✻✦➞➜✽ ➝❥■✏❆

✾●➃❉❻

■✡❃☎❻Ô➞❋➞Ô➞❋➞Ô➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙✿✼➤

✻✦➞❏ ❭✓❃☎❾❽❻❼→✑❃

✻➇✿●ü✼✹✡❻◆→✢✹✡❾❼✹ù■❑➏✢➃✦✻❼➃❉❾❼■ ➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙✿❞➞

öç✆❪➾➍✆➔☛✦➚✆✐✶✵✞✤✒✕✔✢✁ ✱

✡ç✄❖➚✆✟✶✵✖✓✒ò✞✏✆✟✁ ✰❦➪✣➪

▼✲➞◆✽➶❭❨❾❽■

❾❼✹✡➅î✹✼❻➧❃☎➅ P❪❩❬❊ ➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞❖✽☞▲✡▲

▼✲➞◆✽✏➞➜✽ ❭✝❾❼■

❾➇✹✡➅❑✹✱➹♣➘✞➴♦➷✌➬✮➷➱➮➃✃✌❐✦❒ ➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞❖✽☞▲✡▲

▼✲➞◆✽✏➞❏ ❭✝❾❼■

❾➇✹✡➅❑✹✄❮✲➷❘➹❁❒❞❰❞Ï❁➷➱➮➋✃❝❐✦❒ ➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞❖✽☞▲✮➝

▼✲➞◆✽✏➞➟➝ ❭✝❾❼■

❾➇✹✡➅❑✹✒Ð✌❰✼✃❪➘❚➬✌➴❪➴❲➮➋✃❝❐✦❒ ➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞❖✽☞▲✼➤

▼✲➞➘❏ P❘➅î✹

(8)

↔ ➣↕Ø

❏✐➞➜✽ ➢❙❻❼✿●❻❽✻❼❃☎➅❑✹Ö❈✦❃✠➠◆➃❉➄❉➄❉✾●❃✡➞➧➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞ ➝

❏✐➞❏ ❚❨❻✈✻➇❾❽❃☎✾↔✹✼❻◆❈❉✹Ö➄✦✿❀➄❉✾●✿❀■✡✻❼❃

✹❂❈✦❃✒Ù✏✹

■✏➄❁❍✏➞✑➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞ ✻

❏✐➞➟➝ ❚❨❻❽→✎❃

✻❼❾❼■✏❻◆❈❉❃

✹✡✾Ï✽✹➯Ù✐✿↔✹✡❻➧❆✦■✏❾❼➅❑✹✡✿❀❻❇➞✓➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞ ➧

❏✐➞➥➤ ❚❨❻❽→✎❃

✻❼❾❼■✏❻◆❈❉❃

✹✡✾Ï✽✹➯Ù✐✿↔✹✡❻➧→✑❃

➃❉✾❀✿❀✹✡❾❼❃❇❻☎➞✯➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➡✽✮✽

❏✐➞➦➞ ▼③❊✘❃❇✿◗❈❉❃❉➠❯➃❉➄✦➄❉✾❀❃✼➞q➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➡✽☞❏

❏✐➞➟✻ ➑➒❾❽➃❉→✎■❑➝❥■✏➅Þ→✢✹

✻➇■Ö❈❉❃❉➠❯✿

●➔❻❼■✏❆Ú➠✂➝⑦➑Û✽❵✻✐➞ ➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➡✽❳✿

❏✐➞➦❀ ➑➒❾❽➃❉→✎■❑➝❥■✏➅Þ→✢✹

✻➇■Ö❈❉❃❉➠❯✿

●➔❻❼■✏❆Ú➠✂➝⑦➑✚➞✮➧✐➞ ➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✭❏✼▲

❏✐➞➟➧ ❍✫✹✡→✢✹ù✿❀❻❽■✡õ✕■✡✻➇✹✡✾❳❈❉❃Ô✸✂➑Ô➝➩➝❞➧✌✽❵✿✦➞❋➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✭❏❦✽

➝✦➞➜✽

▼✺❆

➃✦✾❀■ù❈❉❃➒→✑■✏❻❼✿✈➀

➁✡➂

✹✡■❉➞q➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✭❏✮➞

➝✦➞❏ ❩✖➭⑦➎✌❭✓➞ì➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✭❏✮❀

➝✦➞➟➝ ➝➧✹✡➅❑✿●❆❉ï❉■ù❈✢✹Ö✾❀➃✦❅✡➞✦➞Ô➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✭❏✼➧

➝✦➞➥➤ ❩✂✿↔✹

❾❼✹✡➅❑✹❋❈❉❃➒➃❉➅❑✹ù❈✢✹✡❻

✹✡➅Þ❃☎❾❼✹✡❻☎➞ ➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✭❏✼✿

➝✦➞➦➞ ➏✯❃❇❆❉❈✢✹✡❻❄✿●❆

✾●✿❀❆✢✹✡❈❉✹✡❻☎➞✯➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝✡▲

➝✦➞➟✻ ➢❙❃❇õ✕❃❇✿●✻❼■Þ❈✦■❑✹✼✾↔✹✡❾

✹✡➅Þ❃☎❆✤✻➇■ù❈✢✹✼❻❄õ✕❃❇❆❉❈✢✹✡❻❇➞✺➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝❝✽

➝✦➞➦❀ ➢✙✝✹✡❆

➃❉✾❀■ù❈❉❃Ô❾❼✿●❻

■❉➞❳➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝✏❏

➝✦➞➟➧ ➝❥➃❉❾❽ü✼✹Ö❈❉❃❬✻➇❾➇✹✼❻❼➅Þ✿❀❻❼❻

✹✡■ù❈❉❃Ô❩✈➞✏❏✐➞❤➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝✼➤

➝✦➞➟✿ ➝❥➃❉❾❽ü✼✹Ö❈❉❃❬✻➇❾➇✹✼❻❼➅Þ✿❀❻❼❻

✹✡■ù❈❉❃Ô❩✈➞❞➞✐➞❤➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝❞➞

➤❉➞➜✽ ❚✺✳

✿➋✝❃❇❆

✿❀✹✡❻❄➓➔➃Ü✝✹✡❆✤✻➇✿

✹✡❻❇➞Þ➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➵➤✤❏

➤❉➞❏ ➝❥➃❉❾❽ü✼✹✡❻❄❈❉❃➒❃➆Ù✟✻❼✿❀❆✉➀

➁✼➂

✹✡■❑➅✚✽❃☎❈✦✿↔✹✡❻❄➝❥❖⑦P▼➢➡Ý❩Þ✈❭❨✸❃➢❂➞➉➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸➞✡❏

➞✐➞➜✽ ❭✓■✏❻❽✿❽➀

➁✡➂

✹✼■Þ❈❉✹❑✹✡➄✑❃☎❾✈✻➇➃❉❾❼✹

❃☎❆✤✻❼❾➇✹✡✾➤➞❶➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸➞✮❀

➞✐➞❏ ▼✺➄✑❃☎❾❽✻❼➃❉❾➇✹✼❻◆✾❀✹✼✻➇❃❇❾➇✹✡✿●❻☎➞❸➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸➞✼➧

➞✐➞➟➝ Ù✏✹✡❆❉❃☎✾❀✹✡❻⑦❈❉❃➒❻❼➃✦➄✦✻➇❾❼✹✎➀

➁✡➂

✹✡■Þ❈❉❃❬õ✕➃❉❆❉❈✦■❑❈❉❃

❃☎➃❳➞✵➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸➞✼✿

➞✐➞➥➤ Ù✏✹✡❆❉❃☎✾❀✹✡❻⑦❈❉❃➒❃➆Ù✟✻❼❾➇✹✎➀

➁✼➂

✹✡■❑❈✦■✏❻❄❃☎❻❼→✑❃

✻➇❾❽■✏❻❯❈✦■

❃☎➃❳➞⑦➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸➞✼✿

➞✐➞➦➞ ❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉■

❃☎➃✛Ø

✹✡➅Þ❃☎❾❼✹Ö✹✡❅☎➃❉✾➤➞✎➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙✻✡▲

➞✐➞➟✻ ❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉■

❃☎➃✛Ø

✹✡➅Þ❃☎❾❼✹❂ü✏❃☎❾❽➅❑❃❇✾❀ï✢✹✐➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙✻✡▲

➞✐➞➦❀ ❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠✺❩✴✽❵✿✮➤✮➤❪➞ÔØ

✹✡➅Þ❃☎❾❼✹Ö✹✡❅☎➃❉✾➤➞ ➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙✻❝✽

➞✐➞➟➧ ❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠✺❩✴✽❵✿✮➤✮➤❪➞ÔØ

✹✡➅Þ❃☎❾❼✹❂ü✏❃☎❾❽➅❑❃❇✾❀ï✢✹✐➞✓➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙✻❝✽

➞✐➞➟✿ ➏✯❃❇❆❉❈✢✹ù❆❉■✜✝✹✡❆

➃✦✾❀■ù❈❉❃➒→✑■✏❻❼✿✈➀

➁✡➂

✹✡■Ö❅☎❃❇❾❼■❉➞♣➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙✻✏❏

➞✐➞➜✽Ï▲❭P❘➅î✹

❃☎➅♣■✡➄✦✻➇✿●❈✢✹❂→✎❃❇✾❀■❑➝⑦➝➧❩❂➞❶➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙✻✏❏

➞✐➞➜✽✮✽ ➏✯❃❇❆❉❈✢✹ù❆❉■✜✝✹✡❆

➃✦✾❀■ù❈❉❃➒→✑■✏❻❼✿✈➀

➁✡➂

✹✡■ß✽☞▲❞✿✮à☎➞ ➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙✻✮➝

➞✐➞➜✽☞❏❭➏✯➃✦❆✉➀

➁✡➂ ✹✡■

■✏❾❼❾❽❃☎✾↔✹✑➀

➁✡➂

✹✡■Ú✷➤✸✺➑❋➝➩➝❞➧✌✽❳✿Ö❃❉➠❯❩✴✽❵✿✮➤❞➤❪➞✮❂➆➞✘➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙✻✮✻

➞✐➞➜✽❳➝➛❚❨❻❽→✎❃

✻❼❾❼■

❃☎❆✤✻❼❾➇✹✡✾✘❈❉❃Ô✸✂➑Ô➝➼➝✮➧✌✽❵✿ß✷➤✹✼❅☎➃❉✾✏❂➆➞❨➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙✻❞❀

➞✐➞➜✽♣➤ ❚❨❻❽→✎❃

✻❼❾❼■

❃☎❆✤✻❼❾➇✹✡✾✘❈❉❃Ô✸✂➑Ô➝➼➝✮➧✌✽❵✿ß✷✕ü✡❃☎❾❽➅❑❃❇✾❀ï❉■❪❂➸➞✛➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙✻❞❀

➞✐➞➜✽❵➞❭❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃Ô✸✂➑Ô➝➼➝❞➧✌✽❳✿Ú✷ò✹✡➄✑❃☎❾❽✻❼➃❉❾➇✹P✽➒❈✢✹

(9)

➁ ➁

➞✐➞➜✽❵❀❭❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃Ô✸✂➑Ô➝➼➝❞➧✌✽❳✿Ú✷ò✹✡➄✑❃☎❾❽✻❼➃❉❾➇✹Þ❏❂❈✢✹

✹✡➅Þ❃☎❾❼✹Ö✹✡❅☎➃❉✾✏❂➆➞✟➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙✻✮✿

➞✐➞➜✽❳➧➛❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃Ô✸✂➑Ô➝➼➝❞➧✌✽❳✿Ú✷ò✹✡➄✑❃☎❾❽✻❼➃❉❾➇✹Þ❏❂❈✢✹

✹✡➅Þ❃☎❾❼✹❂ü✏❃☎❾❽➅❑❃❇✾❀ï✢✹❞❂➆➞◆➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙✻✮✿

➞✐➞➜✽❳✿➛❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃Ô✸✂➑Ô➝➼➝❞➧✌✽❳✿Ú✷ò✹✡➄✑❃☎❾❽✻❼➃❉❾➇✹❶➝ù❈✢✹

✹✡➅Þ❃☎❾❼✹Ö✹✡❅☎➃❉✾✏❂➆➞✟➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀✼▲

➞✐➞❏✼▲➛❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃Ô✸✂➑Ô➝➼➝❞➧✌✽❳✿Ú✷ò✹✡➄✑❃☎❾❽✻❼➃❉❾➇✹❶➝ù❈✢✹

✹✡➅Þ❃☎❾❼✹❂ü✏❃☎❾❽➅❑❃❇✾❀ï✢✹❞❂➆➞◆➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀✼▲

➞✐➞❏❦✽ ❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃Ô✸✂➑Ô➝➼➝❞➧✌✽❳✿Ú✷ò✹✡➄✑❃☎❾❽✻❼➃❉❾➇✹✵➤Ö❈✢✹

✹✡➅Þ❃☎❾❼✹Ö✹✡❅☎➃❉✾✏❂➆➞✟➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀❦✽

➞✐➞❏✡❏❭❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃Ô✸✂➑Ô➝➼➝❞➧✌✽❳✿Ú✷ò✹✡➄✑❃☎❾❽✻❼➃❉❾➇✹✵➤Ö❈✢✹

✹✡➅Þ❃☎❾❼✹❂ü✏❃☎❾❽➅❑❃❇✾❀ï✢✹❞❂➆➞◆➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀❦✽

➞✐➞❏✼➝➛➏✯➃✦❆✉➀

➁✡➂ ✹✡■

■✏❾❼❾❽❃☎✾↔✹✑➀

➁✡➂

✹✡■Ú✷➃➠➫➞✮➧✏❩✴✽❬❃Ô✸✂➑Ô➝➼➝✮➧✌✽❵✿❁❂➸➞❑➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀✼➝

➞✐➞❏♦➤ ❚❨❻❽→✎❃

✻❼❾❼■

❃☎❆✤✻❼❾➇✹✡✾✘❈❉❃❉➠❃➞✼➧✏❩✴✽❻✷➤✹✡❅❇➃❉✾✔❂➸➞❨➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀♦➤

➞✐➞❏✮➞❭❚❨❻❽→✎❃

✻❼❾❼■

❃☎❆✤✻❼❾➇✹✡✾✘❈❉❃❉➠❃➞✼➧✏❩✴✽❻✷✕ü✡❃☎❾❼➅Þ❃☎✾●ï❉■❪❂➸➞↕➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀♦➤

➞✐➞❏✼✻➛❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠❃➞✮➧✏❩✴✽⑨✷ò✹✡➄✎❃❇❾❽✻❼➃❉❾➇✹P✽➒❈✢✹

✝✹✡➅Þ❃☎❾❼✹Þ✹✼❅☎➃❉✾✏❂➆➞✟➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀✮➞

➞✐➞❏✮❀❭❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠❃➞✮➧✏❩✴✽⑨✷ò✹✡➄✎❃❇❾❽✻❼➃❉❾➇✹P✽➒❈✢✹

✝✹✡➅Þ❃☎❾❼✹ùü✡❃☎❾❽➅❑❃❇✾❀ï✢✹❁❂➸➞❯➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀✮➞

➞✐➞❏✼➧➛❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠❃➞✮➧✏❩✴✽⑨✷ò✹✡➄✎❃❇❾❽✻❼➃❉❾➇✹Þ❏❂❈✢✹

✝✹✡➅Þ❃☎❾❼✹Þ✹✼❅☎➃❉✾✏❂➆➞✟➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀✼✻

➞✐➞❏✼✿➛❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠❃➞✮➧✏❩✴✽⑨✷ò✹✡➄✎❃❇❾❽✻❼➃❉❾➇✹Þ❏❂❈✢✹

✝✹✡➅Þ❃☎❾❼✹ùü✡❃☎❾❽➅❑❃❇✾❀ï✢✹❁❂➸➞❯➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀✼✻

➞✐➞➟➝✡▲➛❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠❃➞✮➧✏❩✴✽⑨✷ò✹✡➄✎❃❇❾❽✻❼➃❉❾➇✹❶➝ù❈✢✹

✝✹✡➅Þ❃☎❾❼✹Þ✹✼❅☎➃❉✾✏❂➆➞✟➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀✮❀

➞✐➞➟➝❝✽ ❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠❃➞✮➧✏❩✴✽⑨✷ò✹✡➄✎❃❇❾❽✻❼➃❉❾➇✹❶➝ù❈✢✹

✝✹✡➅Þ❃☎❾❼✹ùü✡❃☎❾❽➅❑❃❇✾❀ï✢✹❁❂➸➞❯➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀✮❀

➞✐➞➟➝✏❏❭❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠❃➞✮➧✏❩✴✽⑨✷ò✹✡➄✎❃❇❾❽✻❼➃❉❾➇✹✵➤Ö❈✢✹

✝✹✡➅Þ❃☎❾❼✹Þ✹✼❅☎➃❉✾✏❂➆➞✟➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀✼➧

➞✐➞➟➝✮➝➛❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠❃➞✮➧✏❩✴✽⑨✷ò✹✡➄✎❃❇❾❽✻❼➃❉❾➇✹✵➤Ö❈✢✹

✝✹✡➅Þ❃☎❾❼✹ùü✡❃☎❾❽➅❑❃❇✾❀ï✢✹❁❂➸➞❯➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸❀✼➧

➞✐➞➟➝✼➤ ➏✯➃✦❆✉➀

➁✡➂ ✹✡■

■✏❾❼❾❽❃☎✾↔✹✑➀

➁✡➂

✹✡■Ú✷➃➠➫➞✮➧✏❩➒❏✲❃Ô✸✂➑Ô➝➼➝✮➧✌✽❵✿❁❂➸➞❑➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧✡▲

➞✐➞➟➝❞➞❭❚❨❻❽→✎❃

✻❼❾❼■

❃☎❆✤✻❼❾➇✹✡✾✘❈❉❃❉➠❃➞✼➧✏❩➒❏P✷➤✹✡❅❇➃❉✾✔❂➸➞❨➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧❝✽

➞✐➞➟➝✮✻➛❚❨❻❽→✎❃

✻❼❾❼■

❃☎❆✤✻❼❾➇✹✡✾✘❈❉❃❉➠❃➞✼➧✏❩➒❏P✷✕ü✡❃☎❾❼➅Þ❃☎✾●ï❉■❪❂➸➞↕➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧❝✽

➞✐➞➟➝❞❀❭❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠❃➞✮➧✏❩➒❏ß✷ò✹✡➄✎❃❇❾❽✻❼➃❉❾➇✹P✽➒❈✢✹

✝✹✡➅Þ❃☎❾❼✹Þ✹✼❅☎➃❉✾✏❂➆➞✟➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧✏❏

➞✐➞➟➝✮➧➛❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠❃➞✮➧✏❩➒❏ß✷ò✹✡➄✎❃❇❾❽✻❼➃❉❾➇✹P✽➒❈✢✹

✝✹✡➅Þ❃☎❾❼✹ùü✡❃☎❾❽➅❑❃❇✾❀ï✢✹❁❂➸➞❯➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧✏❏

➞✐➞➟➝✮✿➛❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠❃➞✮➧✏❩➒❏ß✷ò✹✡➄✎❃❇❾❽✻❼➃❉❾➇✹Þ❏❂❈✢✹

✝✹✡➅Þ❃☎❾❼✹Þ✹✼❅☎➃❉✾✏❂➆➞✟➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧✮➝

➞✐➞➥➤✏▲➛❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠❃➞✮➧✏❩➒❏ß✷ò✹✡➄✎❃❇❾❽✻❼➃❉❾➇✹Þ❏❂❈✢✹

✝✹✡➅Þ❃☎❾❼✹ùü✡❃☎❾❽➅❑❃❇✾❀ï✢✹❁❂➸➞❯➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧✮➝

➞✐➞➥➤✌✽ ❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠❃➞✮➧✏❩➒❏ß✷ò✹✡➄✎❃❇❾❽✻❼➃❉❾➇✹❶➝ù❈✢✹

✝✹✡➅Þ❃☎❾❼✹Þ✹✼❅☎➃❉✾✏❂➆➞✟➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧✼➤

➞✐➞➥➤✤❏❭❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠❃➞✮➧✏❩➒❏ß✷ò✹✡➄✎❃❇❾❽✻❼➃❉❾➇✹❶➝ù❈✢✹

✝✹✡➅Þ❃☎❾❼✹ùü✡❃☎❾❽➅❑❃❇✾❀ï✢✹❁❂➸➞❯➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧✼➤

➞✐➞➥➤❞➝➛❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠❃➞✮➧✏❩➒❏ß✷ò✹✡➄✎❃❇❾❽✻❼➃❉❾➇✹✵➤Ö❈✢✹

✝✹✡➅Þ❃☎❾❼✹Þ✹✼❅☎➃❉✾✏❂➆➞✟➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧❞➞

➞✐➞➥➤✮➤ ❚❨❻❽→✎❃

✻❼❾❼■Þ❈❉❃❉➠❃➞✮➧✏❩➒❏ß✷ò✹✡➄✎❃❇❾❽✻❼➃❉❾➇✹✵➤Ö❈✢✹

✝✹✡➅Þ❃☎❾❼✹ùü✡❃☎❾❽➅❑❃❇✾❀ï✢✹❁❂➸➞❯➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧❞➞

➞✐➞➥➤❁➞➛➝❥➃❉❾❽ü✼✹✡❻❹á❻â✚Ý✜ã❂➞ ➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙✿✏❏

▼✲➞◆✽ ✸✂➑Ô➝➻➝❞➧❝✽❵✿ù❃

■✏➅Þ→✢✹✡❆❉ï❉❃❇✿❀❾❼✹✡❻⑦❃Ô✸✂➑Ô➝➻➝❞➧✏❏✡▲ä✷ò➅❑✹✡→✢✹❂✿❀❻❽■✡õ✕■✡✻➇✹✡✾❳❃☎➅

■✏❾❽❃☎❻❬❂➸➞⑩➞❋➞Ô➞Ô➞❋➞❖✽☞▲❞❀

▼✲➞➘❏ P❘➅î✹

❃☎➅♣❈✦❃

■✡❆➔ü✡■✏✾❀➃❳✽

×

(10)

❏✐➞➜✽ ❩❬✹✡❈❉■✏❻⑦❈✢✹

➃❉❾❽ü✼✹⑨âéÝ✜ê❙✷➤❊◗❃☎✿◗❈✦❃✠➠◆➃❉➄❉➄❉✾●❃❵❂➸➞Ô➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➡✽❳➝

➝✦➞➜✽ P❘➅î✹

❃☎❆❉❻⑦■✏➄✦❻❼❃☎❾✈ü✼✹✡❈✢✹✡❻❇➞➜➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✭❏♦➤

➝✦➞❏ ❚❨❻❽→✎❃

✿◆✳

✹✎➀

➁✼➂

■✏❃☎❻◆❈✢✹✡❻❄❾❽❃☎❈❉❃❇❻☎➞➋➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝✮✻

➝✦➞➟➝ P❘❆✦õ✕■✏❾❼➅❑✹✎➀

➁✼➂ ■✏❃☎❻❄✹✡❈✦✿

✿●■✏❆✢✹✡✿●❻☎➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➝✮✻

➤❉➞➜✽ ➌❲✹✡✾❀■✏❾❽❃☎❻⑦❈❉■

✹✼❆❉ï❉■Ö❃➒❈❉■❑❾❽➃◗✽

×

❈✦■ù❈❉❃❋✾●❃☎✿ø✻➇➃❉❾❼✹✦➞✗➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➵➤✏▲

➤❉➞❏ ➝❥■✐■✏❾❽❈❉❃☎❆❉✹✡❈✢✹✡❻

✹✡✾Ï✽✹

✻❼✿

✹✡❻➧❈❉■✏❻❄■✏➄➔ÿ❽❃❇✻➇■✡❻☎➞➧➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➸➞✮➞

➞✐➞➜✽ ❁◆❃❇❻❼➃❉✾ø✻❿✹✡❈❉■✡❻⑦❈✢✹Þ✿●❈❉❃☎❆✤✻❼✿➜✳

✹✎➀

➁✡➂

✹✡■Ö❈✢✹✼❻◆✾●✿❀❆❉ï❉✹✡❻✈✷➤✹✼❅☎➃❉✾✏❂➆➞✉➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧✮✻

➞✐➞❏ ❁◆❃❇❻❼➃❉✾ø✻❿✹✡❈❉■✡❻⑦❈✢✹Þ✿●❈❉❃☎❆✤✻❼✿➜✳

✹✎➀

➁✡➂

✹✡■Ö❈✢✹✼❻◆✾●✿❀❆❉ï❉✹✡❻✈✷✕ü✡❃☎❾❽➅❑❃❇✾❀ï✢✹❁❂➸➞î➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧✮✻

➞✐➞➟➝ ❁◆❃❇❻❼➃❉✾ø✻❿✹✡❈❉■✡❻⑦❈✢✹

■✏❾❼❾❽❃☎✾❀✹✎➀

➁✡➂ ✹✡■

❾❼➃❉❅☎✹✡❈✢✹❙✷➤✹✡❅❇➃❉✾✔❂➸➞ó➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧❞❀

➞✐➞➥➤ ❁◆❃❇❻❼➃❉✾ø✻❿✹✡❈❉■✡❻⑦❈✢✹

■✏❾❼❾❽❃☎✾❀✹✎➀

➁✡➂ ✹✡■

❾❼➃❉❅☎✹✡❈✢✹❙✷✕ü✏❃❇❾❼➅Þ❃☎✾●ï✢✹❁❂➆➞➜➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧❞❀

➞✐➞➦➞ ❊✵✹✼❾

➃❉❾❼✹✡❻⑦❃☎➓➔➃❉✿øü✼✹✡✾❀❃❇❆➔✻❼❃☎❻❄❃➒✿❀❆✤✻➇❃❇❆❉❻❼✿●❈✢✹✡❈❉❃❇❻☎➞❙➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧✮➧

➞✐➞➟✻ ❁◆❃❇❻❼➃❉✾ø✻❿✹✡❈❉■✡❻▲✳✢❆✢✹✡✿●❻☎➞ì➞Ô➞Ô➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞➒➞Ô➞❋➞Ô➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞➒➞Ô➞❋➞Ô➞❋➞Ô➞Ô➞❋➞✙➧✮✿

➞✐➞➦❀ ❍✫✹

❆❉✿ø✻➇➃❉❈✦❃☎❻❄❃Þ✽

×

❆❉❈❉✿

❃❇❻⑦❈❉❃

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A presente pesquisa pretende investigar a importância da atividade física na saúde e qualidade de vida de pessoas idosas em seu processo de envelhecimento, uma vez que o

Quando falamos de testes e provas nos referimos às avaliações: institucionais (provas em sala de aulas) ou em larga escala (exames externos, Enem, vestibulares, etc.). Os