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Arch-pattern based design and aspect-oriented implementation of Readers-Writers concurrent problem

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Academic year: 2017

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✾❀✿✗❁✳❂❄❃☎❅❇❆❉❈✗❈✤❊❋✿✡●■❍❇❆✂❏✳❊❋❑▲❑▼❊◆❏✟❖☞P◗●❘❆✂●❙❑❚❆✂❏✟❅❯❊❋❁❱❈✡❃✹❲◗✿✡❖❳❊◆●❨❈✤❊❋❑

❖❳❩❬❅▼❭❳❊❋❩❪❊◆●❨❈❫❆❉❈✳❖❳❲❴●❘❲❛❵❝❜❞❊✧❆❛❑▼❊❋✿✡❏✒❃✭❡❢✿✡❖❣❈✤❊❋✿✡❏❤❁❋❲❴●❙❁◆✐❙✿✗✿✗❊◆●❨❈

❅❙✿✗❲❴❍▼❭❳❊❋❩

❥❙❦✤❧★♠♦♥✘♣q❦sr✏♠✷t✒♣q✉❉✈

✇✳①✳②

♠✷③✬♥✘t✒♣⑤④✏⑥✡⑦

⑧q⑨ ♠✷❦

⑩▼❶ ♥✘❷✤t ❶✡❸ r✏❷✤♣qt ❶ t✒❹◆t✒❦

t

⑧❺①

⑩▼❶✤❻ ♣q⑥❺♠❉❼❽t❫⑦

♣q❦

❾⑤❿✤➀✜➁✜➂✍➃☎➄✖➁

➅➇➆☎➈❽➉❳➊➌➋✬➍❣➍➏➎➌➉✜➋✖➊☎➐☎➑❣➒✬➓☎➊➈✜➔❄➍❱➒✖→✗➉❳➒✬➣✹➉❳↔☎➑❣➑❣➈✜➣❺↕❫➐☎➑❣➒✬➙✬➑➛➋✖➔➜➔➜➎➣☎➙❴➍➝↕➛➋✖➑➏↕❱→✪➑❣➒✬➔

↕❣➆☎➈❴➞✛➈q➍➏➎➙✬➣✚➐☎➑❣➒✬➓☎➊➈✜➔❄➍❋➒✖→✳➒✬➐➟➈✜➑➛➋✍↕❣➎➣☎➙➜➍➏➠✛➍➝↕❣➈✜➔❄➍❋➎➣✚↕❣➆☎➈❴➡✬➢✍➤✰➍✜➥✤➦❋↔✛↕➇↕❣➒✛➞☎➋✘➠

↕❣➆☎➈✜➑❣➈✧➋✖➑❣➈✧➍➝↕❣➎➊➊✛➐☎➑❣➒✬➐➟➒❺➍➏➈q➞❨➣☎➈✜➧➨➍➏➒✬➊↔✛↕❣➎➒✬➣✹➍✳→✪➒✬➑✤↕❣➆☎➈q➍➏➈✧➐☎➑❣➒✬➓☎➊➈✜➔❄➍✳➧✧➎↕❣➆✏↕❣➆☎➈

➆☎➈✜➊➐❨➒✖→➟➩✍➋✖➑❣➎➒✬↔✹➍✳➞✛➈q➍➏➎➙✬➣✏➋✖➣✹➞◗➐☎➑❣➒✬➙✬➑➛➋✖➔➜➔➜➎➣☎➙❽➋✖➐☎➐☎➑❣➒❺➋✬➉➛➆☎➈q➍✜➥✟➅➇➆☎➈❋➐☎➑❣➈q➍➏➈✜➣❺↕

➋✖➑➏↕❣➎➌➉❳➊➈➇➞✛➈q➍❣➉❳➑❣➎➓➟➈q➍❱➋❛➍➏➒✬➊↔✛↕❣➎➒✬➣❨➧✧➆☎➎➌➉➛➆➜➧➇➋✬➍✤➞✛➈q➍➏➎➙✬➣☎➈q➞✏➋✬➉✜➉❳➒✬➑➛➞✛➎➣☎➙❉↕❣➒❴➍➏➒✬➔➜➈

➣☎➈✜➧★➒✬➓✛➫➝➈q➉☞↕➏➤➭➒✬➑❣➎➈✜➣❺↕❣➈q➞❴➐☎➑❣➎➣✹➉❳➎➐☎➊➈q➍✜➯✖➓✹➋✬➍➏➈q➞◗➒✬➣✏➞✛➈q➍➏➎➙✬➣✏➐✹➋✍↕➏↕❣➈✜➑❣➣✹➍✤➋✖➣✹➞❨➐☎➑❣➒✖➤

➐➟➒❺➍➏➈q➍✧↕➝➧❋➒✚➐☎➑❣➒✬➙✬➑➛➋✖➔➲➍➏➒✬➊↔✛↕❣➎➒✬➣✹➍✜➳❋➵✹➑➛➍➝↕❣➊➠✚➸✝➋✖➣❇➒✬➓✛➫➝➈q➉☞↕➏➤➭➒✬➑❣➎➈✜➣❺↕❣➈q➞❙➎➔➜➐☎➊➈❳➤

➔➜➈✜➣❺↕➛➋✍↕❣➎➒✬➣★➎➣➨➺❺➋✘➩✍➋❇➊➌➋✖➣☎➙✬↔✹➋✖➙✬➈✬➯✳↕❣➆☎➈✝➍➏➈q➉❳➒✬➣✹➞✛➊➠➻➸➼➋✖➣➨➋✬➍➏➐➟➈q➉☞↕➏➤➭➒✬➑❣➎➈✜➣❺↕❣➈q➞

➒✬➣☎➈❛➎➣✝➽❽➍➏➐➟➈q➉☞↕➛➺❄➊➌➋✖➣☎➙✬↔✹➋✖➙✬➈✬➥

➾✝➚❺➪★➶❨➹ ➂✍➘✳➀✬➴ ➉❳➒✬➣✹➉❳↔☎➑❣➑❣➈✜➣✹➉❳➠✬➯☎➞✛➈q➍➏➎➙✬➣❙➋✖➑➛➉➛➆✛➤➭➐✹➋✍↕➏↕❣➈✜➑❣➣✗➯✭➋✬➍➏➐➟➈q➉☞↕q➯✹➺❺➋✘➩✍➋☎➯

➽❽➍➏➐➟➈q➉☞↕➛➺✹➥

➷ ➬➱➮❙✃✧❐❮❒✳❰✏Ï✜Ð✚Ñ❱Ò❳❰✏➮➻Ó

✂✁☎✕✗✑✍✞✡✌❳✌❳☛✖✕✹✠▼✆✗✌❳✁✛Ô✛✌✜✢✛✄❇✄❇✓✪✕✡Ô➨✓✪Õ✚✠❳Ö✡☛×Õ❳✑✍✓✔☛✖✕✗✑✘☛Ø✩✡☛✍✠☞☛✍✌✜✄❇✓✪✕✡☛✖✩ÚÙ➟ÛÚ✠❳Ö✡☛Ø✢✭✌❳✠▼✁✛✥◗✁✛✌☞Ü

Ô☎✢✛✕✗✓✔Ý✖✓✪✕✡Ô★✑✘✁➟✁✛✆✤☛✍✌✜✢✭✠❳✓✔✁☎✕❱✯×✦★✁☎Õ☞✠✚✁✛✥❴✠❳Ö✡☛❇✠❳✓✪✄✝☛✖Õ✍✮◆✠❳Ö✗✓✪Õ✚✢✭✌❳✠✚✓✪✄✝✆✟✣✪✓✔☛✖Õ❄✞✗Õ❳✓✪✕✡ÔØÕ☞✁☎✄✝☛

✆✗✌❳✁✛Ô✛✌✜✢✛✄❇✄❇✓✪✕✡ÔÞ✠☞☛✖✑✜Ö✗✕✗✓✪ß➟✞✡☛✖Õ✝✩✡☛✍✫✛☛✖✣✔✁✛✆✤☛✖✩à✁☎✕á✑✘☛✍✌❳✠❳✢✛✓✪✕à✠☞☛✖✑✜Ö✗✕✡✁☎✣✔✁✛Ô☎✓✪✑✍✢✛✣◗Õ❳✞✡✆✗✆✤✁✛✌❳✠✍✯

â ✕ã✁✛✠❳Ö✡☛✍✌➻ä✂✁✛✌✜✩✗Õ✍✮✂✓✔✥❨✁☎✕✡☛★Ö✗✢✛Õ❇✢✭✠➻Ö✗✓✪Õ✝✩✗✓✪Õ☞✆✤✁☎Õ❳✢✛✣✂✁✛Ù✒å☞☛✖✑✘✠➛Ü➝✁✛✌✜✓✔☛✖✕✹✠☞☛✖✩æ✣✪✢✛✕✡Ô☎✞✗✢✭Ô✛☛✖Õ✍✮

✠❳Ö✡☛❙✆✗✌❳✁✛Ù✟✣✔☛✖✄❇Õ◗✁✛✥✂✑✘✁☎✕✗✑✍✞✡✌❳✌❳☛✖✕✗✑✘Û➼Õ❳Ö✡✁☎✞✗✣✪✩★Ù✤☛▼✢✭✆✗✆✗✌❳✁☎✢✛✑✜Ö✡☛✖✩➨✁☎✕✗✣✔Û★✓✪✕➨✢✛✕➨✁✛Ù✒å☞☛✖✑✘✠➛Ü

✁✛✌✜✓✔☛✖✕✹✠☞☛✖✩★✑✘✁☎✕✹✠☞☛✘ç✒✠✍✯

è Ö✡☛✝✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠❳✢✭✠❳✓✔✁☎✕Þ✁✛✥❛✑✘✁☎✕✗✑✍✞✡✌❳✌❳☛✖✕✗✑✘Û➨Ù➟Û➨✁✛Ù✒å☞☛✖✑✘✠⑤Ù✟✢✛Õ☞☛✖✩é✠☞☛✖✑✜Ö✗✕✗✓✪ß➟✞✡☛✖Õ⑤✓✪Õ

✢✛✑✍✑✘✁☎✄✝✆✟✢✛✕✗✓✔☛✖✩✝Ù➟Û▼✢➜✕➟✞✗✄✚Ù✤☛✍✌➇✁✛✥✳✩✗✓➌ê❯✑✍✞✗✣✔✠❳✓✔☛✖Õ◆Ô✛☛✖✕✡☛✍✌✜✓✪✑✍✢✛✣✪✣✔Û✚✩✡☛✖Õ❳✑✘✌✜✓✔Ù✤☛✖✩▼✢✛Õ❛ë✷ì✡í✡î✘ïqë✷ð

ñ➝ò ì✳óqî

ò

ì✳ô✭õ

ò✭ö

ë➝îq÷q✯❉ø✏✕✗✩✡☛✍✌✜Õ☞✠❳✢✛✕✗✩✗✓✪✕✡Ô◗✠❳Ö✡☛✖✄➲Ù➟Û⑤✄✝☛✖✢✛✕✗Õ❋✁✛✥✟✕➟✞✗✄✝☛✍✌❳✁☎✞✗Õ❋✑✍✣✪✢✛Õ❳Õ❳✓➌ù✳✑✍✢❺Ü

✠❳✓✔✁☎✕×✢✭✠☞✠☞☛✖✄✝✆✗✠❳Õ✚ú➌û✭✮✗✻✬ü◆Ö✡☛✖✣✔✆✟Õ❉✠☞✁❇✩✡☛✍✠☞☛✍✌✜✄❇✓✪✕✡☛❨✠❳Ö✡☛❄✑✍✢✛✞✗Õ☞☛✖Õ❛✁✛✥❫✠❳Ö✗✓✪Õ✂✆✟Ö✡☛✖✕✡✁☎✄✝☛✖✕✡✁☎✕❱✯

ý

þ➻ÿ✁✂✂✄✆☎✞✝✠✟☛✡✌☞✎✍✁✏✒✑✁☎✔✓

✕✗✖✌✘ ✡✚✙✎✛✢✜

✣✁✤ ✍✦✥

✖★✧

✡✌☞✒✩✞✑✎✏✫✪✬✏✫✭✬✏✫✥

✣✢✖✮✧ ✡✰✯✬✏✱✜

(2)

è

Ö✗✓✪Õ⑤✄✝☛✖✢✛✕✗Õ✚✠❳Ö✗✢✭✠✚✁✛✌❳Ô☎✢✛✕✗✓✔Ý✖✓✪✕✡Ô➼✠❳Ö✡☛❯✑✘✁➟✁✛✆✤☛✍✌✜✢✭✠❳✓✔✁☎✕ ✵➭✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠☞☛✖✩Úä❨✓✔✠❳ÖÚ✑✍✣✪✢✛Õ❳Õ

✄✝☛✍✠❳Ö✡✁✒✩✗Õq✺✂✑✍✢✛✕✗✕✡✁✛✠◗Ù✤☛⑤✓✪✕✗Ö✡☛✍✌✜✓✔✠☞☛✖✩❯Ù➟Û×Õ❳✞✡Ù❱✑✍✣✪✢✛Õ❳Õ☞☛✖Õ❛ä❨✓✔✠❳Ö✡✁☎✞✡✠❛☛✘ç✒✆✟✣✪✓✪✑✍✓✔✠❴✄✝✁✒✩✗✓➌ù✳✑✍✢❺Ü

✠❳✓✔✁☎✕✗Õ✍✯

✵ ✠✏✠❳Ö✡☛▼Õ❳✢✛✄✝☛✚✠❳✓✪✄✝☛✛✮✳✑✍✣✪✢✛Õ❳Õ❳✓✪✑✍✢✛✣❋✢✭✆✗✆✗✌❳✁☎✢✛✑✜Ö✡☛✖Õ❨✁✛✥✧Ô✛☛✖✕✡☛✍✌✜✢✛✣✪✓✔Ý✖✢✭✠❳✓✔✁☎✕➨✢✛✕✗✩★✄✝✁✒✩✒Ü

✞✗✣✪✢✭✌✜✓✔✠➏Û❇Õ❳✞✡Ù✒å☞☛✖✑✘✠☞☛✖✩❯✠☞✁❙✠❳Ö✡☛➜✩✡✁☎✄❇✓✪✕✗✢✛✕✹✠❛✩✡☛✖✑✘✁☎✄✝✆✤✁☎Õ❳✓✔✠❳✓✔✁☎✕➻✠➏Û➟✌✜✢✛✕✗✕✹Û➨ú✴➟✮✒✶✭ü❫✑✍✢✛✕✗✕✡✁✛✠

Ù✤☛✏✞✗Õ☞☛✖✩➻✥✷✁✛✌❛✩✡☛✍✠☞☛✍✌✜✄❇✓✪✕✗✓✪✕✡Ô✚Õ☞✆✤☛✖✑✍✓➌ù✳✑❴✆✗✌❳✁✛✆✤☛✍✌❳✠❳✓✔☛✖Õ❉✁✛✥❫✑✘✁☎✕✗✑✍✞✡✌❳✌❳☛✖✕✹✠❛Õ☞Û✒Õ☞✠☞☛✖✄❇Õ✍✮✒Õ❳✞✗✑✜Ö

✢✛Õ❨Õ☞Û✒✕✗✑✜Ö✡✌❳✁☎✕✗✓✔Ý✖✢✭✠❳✓✔✁☎✕❱✮✡✌❳☛✖Õ☞✁☎✞✡✌✜✑✘☛⑤✢✛✣✪✣✔✁✒✑✍✢✭✠❳✓✔✁☎✕❱✮✗Õ☞☛✖✑✍✞✡✌✜✓✔✠➏Û✛✮✗✆✤☛✍✌✜Õ❳✓✪Õ☞✠☞☛✖✕✗✑✘☛✛✮✡☛✍✠❳✑✭✯

è Ö➟✞✗Õ✍✮✬✁☎✞✡✌◆✠❳✢✛Õ✦✶✚✓✪Õ❱✠☞✁✏✆✗✌❳✁✛✆✤✁☎Õ☞☛❽✢❨✕✡☛✍ä❝Õ☞✁☎✣✪✞✡✠❳✓✔✁☎✕❄✥✷✁✛✌❋✠❳Ö✡☛✂✑✍✣✪✢✛Õ❳Õ❳✓✪✑✍✢✛✣✱✷◗☛✖✢✛✩✡☛✍✌✜Õ➛Ü

✸ ✌✜✓✔✠☞☛✍✌✜Õ❨✆✗✌❳✁✛Ù✟✣✔☛✖✄ Ù✟✢✛Õ☞☛✖✩➼✁☎✕✺✹✟☛✘ç✡✓✔Ù✟✣✔☛❄✠☞☛✖✑✜Ö✗✕✗✓✪ß➟✞✡☛✖Õ◗✁✛✥✧✁✛✌❳Ô☎✢✛✕✗✓✔Ý✖✓✪✕✡Ô➻✑✘✁☎✕✗✑✍✞✡✌❳✌❳☛✖✕✹✠

✢✛✑✘✠❳✓✔✫✒✓✔✠❳✓✔☛✖Õ❄✩✡☛✍✆✗✌✜✓✔✫✛☛✖✩➨✁✛✥✂✓✪✕✗Ö✡☛✍✌✜✓✔✠❳✢✛✕✗✑✘☛❙✢✛✕✡✁☎✄❇✢✛✣✪✓✔☛✖Õ❄✢✛✕✗✩Þä❨✓✔✠❳ÖÞ✕✡✁ØÕ❳✑✍✢✭✠☞✠☞☛✍✌✜✓✪✕✡ÔØ✁✛✥

✠❳Ö✡☛❇ì✳ô✭ì✟Ü➝✥➭✞✗✕✗✑✘✠❳✓✔✁☎✕✗✢✛✣❱✌❳☛✖ß➟✞✗✓✔✌❳☛✖✄✝☛✖✕✹✠❳Õ✞✻✡✑✘✁✒✩✡☛✚✓✪✕×✠❳Ö✡☛⑤☛✖✕✹✠❳✓✔✌❳☛⑤Õ☞Û✒Õ☞✠☞☛✖✄Ø✯

✼ ✽❙❰✿✾❁❀ Ð✝Ï✫❂✂Ñ❱Ò✜➮❄❃❪Ñ❆❅❙✃❈❇❄✾❱❰✌❉✝Ï❳✃❊❀

è Ö✡☛❋✷◗☛✖✢✛✩✡☛✍✌✜Õ➛Ü ✸ ✌✜✓✔✠☞☛✍✌✜Õ❨✆✗✌❳✁✛Ù✟✣✔☛✖✄ ✓✪Õ❨✢❯✄✝✁✒✩✗✓➌ù✳✑✍✢✭✠❳✓✔✁☎✕Ø✁✛✥✧✠❳Ö✡☛✚✆✗✌❳✁✛Ù✟✣✔☛✖✄ ✁✛✥❉✄▼✞✒Ü

✠❳✞✗✢✛✣❫☛✘ç✡✑✍✣✪✞✗Õ❳✓✔✁☎✕❱✯

â

✠❨✓✪✄✝✆✟✣✪✓✔☛✖Õ✂✠❳Ö✡☛❄☛✘ç✡✓✪Õ☞✠☞☛✖✕✗✑✘☛✚✁✛✥➇Õ☞✁☎✄✝☛✚✌❳☛✖✢✛✩✡☛✍✌✜Õ❴✠❳Ö✗✢✭✠❨✄❇✢✖Û➼Ö✗✢✖✫✛☛

Õ❳✓✪✄▼✞✗✣✔✠❳✢✛✕✡☛✍✁☎✞✗Õ▼✢✛✑✍✑✘☛✖Õ❳Õ✝✠☞✁é✢★Ù✤✁➟✁✴✶ ✵➭✑✘✌✜✓✔✠❳✓✪✑✍✢✛✣✂Õ☞☛✖✑✘✠❳✓✔✁☎✕✳✺✚✢✛✕✗✩❝✁✛✥❨Õ☞✁☎✄✝☛×ä◗✌✜✓✔✠☞☛✍✌✜Õ✍✮

ä❨Ö✡✁❇Ö✗✢✖✫✛☛▼✢✛✕Ø☛✘ç✡✑✍✣✪✞✗Õ❳✓✔✫✛☛⑤✢✛✑✍✑✘☛✖Õ❳Õ❨✠☞✁➻✓✔✠✍✯

è Ö✡☛❽✆✤✁☎✣✪✓✪✑✍✓✔☛✖Õ◆✁✛✥✟Õ☞Û✒✕✗✑✜Ö✡✌❳✁☎✕✗✓✔Ý✖✢✭✠❳✓✔✁☎✕▼✢✛✕✗✩❙✢✛✑✍✑✘☛✖Õ❳Õ❉Õ❳✑✜Ö✡☛✖✩✗✞✗✣✪✓✪✕✡Ô❨✩✡☛✍✠☞☛✍✌✜✄❇✓✪✕✡☛✂✠❳Ö✡☛

☛✘ç✡✓✪Õ☞✠☞☛✖✕✗✑✘☛⑤✁✛✥➇Õ☞☛✍✫✛☛✍✌✜✢✛✣❱✆✗✌❳✁✛Ù✟✣✔☛✖✄ ✫✛☛✍✌✜Õ❳✓✔✁☎✕✗Õ✍✯❍●❨✁✬ä✂☛✍✫✛☛✍✌✖✮✟ä✂☛❄ä❨✓✪✣✪✣✤✢✭Ô✛✌❳☛✍☛⑤ä❨✓✔✠❳Ö×✠❳Ö✡☛

✥✷✁✛✌✜✄▼✞✗✣✪✢✭✠❳✓✔✁☎✕Ú✩✡☛✖Õ❳✑✘✌✜✓✔Ù✤☛✖✩Þ✓✪✕æú✸✬ü➜✵➭✢✛✣✪Õ☞✁➼✆✗✌❳✁✛✆✤✁☎Õ☞☛✖✩é✓✪✕æú■✬ü➭✺✜✮❋✠❳Ö✗✢✭✠✚✢✛Õ❳Õ☞✁✒✑✍✓✪✢✭✠☞☛✖Õ▼✢✛✕

☛✘ç✒☛✖✑✍✞✡✠☞☛✖✩❤✑✘✁☎✕✗✑✍✞✡✌❳✌❳☛✖✕✹✠×✆✗✌❳✁✒✑✘☛✖Õ❳Õ❯✠☞✁à☛✖✢✛✑✜Ö❞✌❳☛✖✢✛✩✡☛✍✌Ø✢✛✕✗✩ ☛✖✢✛✑✜Ö❞ä◗✌✜✓✔✠☞☛✍✌✖✯ è Ö✡☛✖✓✔✌

✢✛✑✘✠❳✓✔✫✒✓✔✠❳✓✔☛✖Õ❴ä❨✓✪✣✪✣✤✑✘✁☎✕✗Õ❳✓✪Õ☞✠❴✁✛✥➇✁✛✆✤☛✖✕✗✓✪✕✡Ô❙✢✛✕✗✩➼✑✍✣✔✁☎Õ❳✓✪✕✡Ô✝✠❳Ö✡☛❄Ù✤✁➟✁✴✶✳✯

❏➜✕✡☛❨Õ❳Ö✡✁☎✞✗✣✪✩✝✩✗✓✪Õ☞✠❳✓✪✕✡Ô☎✞✗✓✪Õ❳Ö▼Ù✤☛✍✠➏ä✂☛✍☛✖✕➻✠❳Ö✡☛❨✁✛✆✤☛✍✌✜✢✭✠❳✓✔✁☎✕✗Õ✧☛✘ç✒☛✖✑✍✞✡✠☞☛✖✩❯Ù➟Û❙✌❳☛✖✢✛✩✡☛✍✌✜Õ

✢✛✕✗✩➨✠❳Ö✡☛❙✁☎✕✡☛✖Õ✏☛✘ç✒☛✖✑✍✞✡✠☞☛✖✩éÙ➟Û➼ä◗✌✜✓✔✠☞☛✍✌✜Õ✍✯

Ö✡☛✖✕Þä✂☛❙✆✟✣✪✢✛✕➨✢✛✑✍✑✘☛✖Õ❳Õ➜ä✂☛✝✄❇✢✔✶✛☛✝✠❳Ö✡☛

✥✷✁☎✣✪✣✔✁✬ä❨✓✪✕✡Ô✝✢✛Õ❳Õ❳✞✗✄✝✆✗✠❳✓✔✁☎✕✗Õ✞❑

✢✹✺

â

✥❉✕✡✁☎✕✡☛▼✁✛✥❉✠❳Ö✡☛▼✆✗✌❳✁✒✑✘☛✖Õ❳Õ☞☛✖Õ➜Ö✗✢✛Õ✏☛✖✕✹✠☞☛✍✌❳☛✖✩Þ✠❳Ö✡☛❙✑✘✌✜✓✔✠❳✓✪✑✍✢✛✣❋Õ☞☛✖✑✘✠❳✓✔✁☎✕ã✵➭✩✗✓✪✩➨✕✡✁✛✠

✁✛✆✤☛✖✕❇✠❳Ö✡☛❨Ù✤✁➟✁✴✶✗✺✧✢✛✕✗✩➻✠❳Ö✡☛✍✌❳☛✏✢✭✌❳☛✏✌❳☛✖✢✛✩✡☛✍✌✜Õ✂✢✛✕✗✩❇ä◗✌✜✓✔✠☞☛✍✌✜Õ❉ä❨Ö✡✁✚ä❨✓✪Õ❳Ö✝✠☞✁❙✩✡✁

Õ☞✁✡✮✟✢❙ä◗✌✜✓✔✠☞☛✍✌◗ä❨✓✪✣✪✣✟Ù✤☛⑤✑✜Ö✡✁☎Õ☞☛✖✕❆▲

Ù✤✺ â ✥❫✢⑤ä◗✌✜✓✔✠☞☛✍✌❽☛✘ç✡✓✔✠☞☛✖✩❯✠❳Ö✡☛✏✑✘✌✜✓✔✠❳✓✪✑✍✢✛✣✟Õ☞☛✖✑✘✠❳✓✔✁☎✕é✵➭✑✍✣✔✁☎Õ☞☛✖✩➻✠❳Ö✡☛✏Ù✤✁➟✁✴✶✗✺✜✮✒✢✛✕✗✩➻✠❳Ö✡☛✍✌❳☛

✢✭✌❳☛★✌❳☛✖✢✛✩✡☛✍✌✜Õ❯✢✛✕✗✩áä◗✌✜✓✔✠☞☛✍✌✜Õ✝ä❨Ö✡✁sä❨✓✪Õ❳Öã✠☞✁s☛✖✕✹✠☞☛✍✌×✠❳Ö✡☛➨✑✘✌✜✓✔✠❳✓✪✑✍✢✛✣◗Õ☞☛✖✑✘✠❳✓✔✁☎✕❱✮

(3)

❱ ✽✝Ð✝➮❄❲❋Ñ❱Ò❳❰✏➮❄❂◗Ï✆❂◗➮❄❳❩❨❭❬✌❨✺❪✗❫✬Ð✝➮❄❲❋Ñ❱Ò❳❰✏➮❄❂◗Ï❴✾❱✃❍❵✚Ð✝Ò✫✾❱✃❊❀❪✃❽➮✏Ñ✤❒

❰✿❫ÞÑ❆❅❙✃❛❇❄✾❱❰✌❉✝Ï❳✃❊❀

â ✩✡☛✖✕✹✠❳✓✔✥✷Û✒✓✪✕✡Ô➻✌❳☛✖ß➟✞✗✓✔✌❳☛✖✄✝☛✖✕✹✠❳Õ➜✓✪Õ✏✢×✕✡☛✖✑✘☛✖Õ❳Õ❳✢✭✌❳Û★✆✗✌❳✁✒✑✘☛✖Õ❳Õ✏✠❳Ö✗✢✭✠➜✌❳☛✖Õ❳✞✗✣✔✠❳Õ➜✓✪✕➨✢×Õ☞✆✤☛✖✑qÜ

✓➌ù✳✑✍✢✭✠❳✓✔✁☎✕❱✮✂✩✡☛✍✠☞☛✍✌✜✄❇✓✪✕✡☛✖✩àÙ➟Û❝✠❳Ö✡☛➼✫✒✓✪Õ❳✓✔✁☎✕❝✁✛✥➜✠❳Ö✡☛➼✞✗Õ☞☛✍✌✜Õ❙✁☎✕ã✠❳Ö✡☛★Õ☞Û✒Õ☞✠☞☛✖✄Ø✯

è

Ö✡☛

✢✛✕✗✢✛✣✔Û✒Õ❳✓✪Õ➻✁✛✥❄✠❳Ö✡☛➨✌❳☛✖ß➟✞✗✓✔✌❳☛✖✄✝☛✖✕✹✠❳Õ➻✁✛Ù✗✠❳✢✛✓✪✕✡☛✖✩ ✓✪✄✝✆✟✣✪✓✔☛✖Õ❇✑✘✌❳☛✖✢✭✠❳✓✪✕✡Ôà✢❝✕✡☛✍ä ✄✝✁✒✩✡☛✖✣

✠❳Ö✗✢✭✠⑤✩✡☛✍✫✛☛✖✣✔✁✛✆✤☛✍✌✜Õ➜ä❨✓✪✣✪✣❫Ù✤☛✝✢✭Ù✟✣✔☛❙✠☞✁➼✓✪✕✹✠☞☛✍✌❳✆✗✌❳☛✍✠➜✓✪✕Þ✢Ø✕✡✁☎✕✒Ü➝✠☞✌✜✓✔✫✒✓✪✢✛✣◆ä❛✢✖Û✛✯❴❏➜✕Þ✠❳Ö✡☛

✓✪✕✗✓✔✠❳✓✪✢✛✣❫Õ☞✠❳✢✭Ô✛☛✖Õ✏✠❳Ö✗✓✪Õ◗✥➭✢✛✑✘✠✏ä❨✓✪✣✪✣❱☛✖✕✗Õ❳✞✡✌❳☛✚✢➻✩✡☛✖✑✘✁☎✄✝✆✤✁☎Õ❳✓✔✠❳✓✔✁☎✕➼✠❳Ö✗✢✭✠✏ä❨✓✪✣✪✣✤✆✗✌❳✁✛✆✤✁☎Õ☞☛✚✢

✑✘✁✒✩✡☛✏✠❳Ö✗✢✭✠❽ä✂✁☎✞✗✣✪✩➻✕✡✁✛✠✂Ù✤☛◗☛✖✓✔✠❳Ö✡☛✍✌✂☛✖✕✹✠❳✢✛✕✡Ô☎✣✔☛✖✩➻✁✛✌❛Õ❳✑✍✢✭✠☞✠☞☛✍✌❳☛✖✩éú✽✖ü✤Ù➟Û❇✩✗✓✔✫✒✓✪✩✗✓✪✕✡Ô❄✢✛✣✪✣

✠❳Ö✡☛⑤✥➭✞✗✕✗✑✘✠❳✓✔✁☎✕✗✢✛✣❱✢✛✕✗✩➼✕✡✁☎✕✒Ü➝✥➭✞✗✕✗✑✘✠❳✓✔✁☎✕✗✢✛✣✳✌❳☛✖ß➟✞✗✓✔✌❳☛✖✄✝☛✖✕✹✠❳Õ❴✓✪✕✹✠☞✁➻✄✝✁✒✩✗✞✗✣✔☛✖Õ✍✯

❜ ✞✗✕✗✑✘✠❳✓✔✁☎✕✗✢✛✣➇✌❳☛✖ß➟✞✗✓✔✌❳☛✖✄✝☛✖✕✹✠❳Õ❄✩✡☛✍✠☞☛✍✌✜✄❇✓✪✕✡☛❙✠❳Ö✡☛❇Ù✤☛✖Ö✗✢✖✫✒✓✔✁✛✌❄✁✛✥✂✠❳Ö✡☛❇Õ☞Û✒Õ☞✠☞☛✖✄Ø✮❋✓✪✕

✠☞☛✍✌✜✄❇Õ◗✁✛✥✧✠❳Ö✡☛✚Õ☞☛✍✌❳✫✒✓✪✑✘☛✖Õ❨✓✔✠◗Õ❳✞✡✆✗✆✟✣✪✓✔☛✖Õ✍✯

è

Ö✡☛✚✕✡✁☎✕✒Ü➝✥➭✞✗✕✗✑✘✠❳✓✔✁☎✕✗✢✛✣✤✌❳☛✖ß➟✞✗✓✔✌❳☛✖✄✝☛✖✕✹✠❳Õ❨✓✪✄❙Ü

✆✤✁☎Õ☞☛➻Õ☞✁☎✄✝☛✝✌❳☛✖Õ☞✠☞✌✜✓✪✑✘✠❳✓✔✁☎✕✗Õ❄✁☎✕✹✠☞✁➼✠❳Ö✡☛✖Õ☞☛➻Õ☞☛✍✌❳✫✒✓✪✑✘☛✖Õ❄✠❳Ö✗✢✭✠✚✄❇✢✖Ûé✢❞❝✤☛✖✑✘✠✚✠❳Ö✡☛❇✆✤☛✍✌❳✥✷✁✛✌☞Ü

✄❇✢✛✕✗✑✘☛✚✢✛✕✗✩×✠❳Ö✡☛⑤Õ☞☛✖✄❇✢✛✕✹✠❳✓✪✑✍Õ❴✁✛✥❋✠❳Ö✡☛⑤Õ☞Û✒Õ☞✠☞☛✖✄Ø✯❊❙✂Û❯☛✖✄✝✆✟✣✔✁✬Û✒✓✪✕✡Ô✝ø✏Õ☞☛▼❛✢✛Õ☞☛✖Õ✚✵✷✠❳Ö✡☛

ø✏Õ☞☛➨❛✢✛Õ☞☛✖Õ❇✩✡☛✖Õ❳✑✘✌✜✓✔Ù✤☛×✢éÕ☞Û✒Õ☞✠☞☛✖✄✺✻Õ❙✥➭✞✗✕✗✑✘✠❳✓✔✁☎✕✗✢✛✣✪✓✔✠➏Û✗✺✜✮❽ø✏✦❢❡ ✢✛✣✪✣✔✁✬ä❨Õ❙✠☞✁ÚÕ☞✆✤☛✖✑✍✓✔✥✷Û

✥➭✞✗✕✗✑✘✠❳✓✔✁☎✕✗✢✛✣◗✌❳☛✖ß➟✞✗✓✔✌❳☛✖✄✝☛✖✕✹✠❳Õ➨✵è ✢✭Ù✟✣✔☛✖Õ★û★✢✛✕✗✩ ✻Ú✩✗✓✪Õ☞✆✟✣✪✢✖Û❝✠❳Ö✡☛✖✓✔✌➻✆✟✢✭✌❳✠❳✓✪✢✛✣◗✩✡☛✘ù✳✕✗✓➌Ü

✠❳✓✔✁☎✕✳✺✜✮✤✢✛✕✗✩★✢✛✣✪Õ☞✁➻✠☞✁❯✁✔❝✤☛✍✌➜✢➻✆✤✁☎Õ❳Õ❳✓✔Ù✟✓✪✣✪✓✔✠➏Û❇✠☞✁×✓✪✩✡☛✖✕✹✠❳✓✔✥✷Û×Õ☞✁☎✄✝☛❙Õ❳✑✍✢✭✠☞✠☞☛✍✌❳☛✖✩➨✌❳☛✖Õ☞✠☞✌✜✓✪✑qÜ

✠❳✓✔✁☎✕✗Õ✍✮✡✠❳Ö✗✢✭✠❨✄▼✞✗Õ☞✠◗Ù✤☛✿❣

ö✔ò

óqî✫❤×ë✷ì★÷✖î✐❣

ò

ï

ò✛ñ

î

ö✔ò ì✗❥✴❦

ò

❥➟î⑤÷

ñ

ï✁❦✗ó

ñ

❦✒ï❳îq÷✞❧

è

✢✭Ù✟✣✔☛❇û✭✯❽ø✏Õ☞☛✚✑✍✢✛Õ☞☛♥♠♦❣✗î✘ìÞ✵q♣◗î

ò

❤✹î✘ï❨✢✛✑✘✠☞✁✛✌✘✺

r✺s✎t✈✉❋✇①s✎t ❏✏✆✤☛✖✕

②✠③✴④✬⑤☛⑥ ✷◗☛✖✢✛✩✡☛✍✌

⑦ ⑥ t✱⑧ ③✱⑤⑩⑨♦❶❸❷❹④❞❷❺⑤⑩⑨ ❻ ✁▼ä◗✌✜✓✔✠☞☛✍✌✂ä◗✌✜✓✔✠☞☛✖Õ❽✓✪✕❇✠❳Ö✡☛✏Ù✤✁➟✁✴✶★✵➭Õ☞Û✒✕✗✑✜Ö✡✌❳✁☎✕✗✓✔Ý✖✢✭✠❳✓✔✁☎✕✳✺

â

✕✗✑✘✌❳☛✖✄✝☛✖✕✹✠❳✓✪✕✡Ô ✠❳Ö✡☛ ✕➟✞✗✄✚Ù✤☛✍✌❤✁✛✥á✢✛✑✘✠❳✓✔✫✛☛ ✌❳☛✖✢✛✩✡☛✍✌✜Õ

✵➭Õ☞Û✒✕✗✑✜Ö✡✌❳✁☎✕✗✓✔Ý✖✢✭✠❳✓✔✁☎✕✳✺

❻ ✁❇ä◗✌✜✓✔✠☞☛✍✌◗✓✪Õ❴ä❛✢✛✓✔✠❳✓✪✕✡Ô✝✠☞✁❇ä◗✌✜✓✔✠☞☛❇✵➭Õ❳✑✜Ö✡☛✖✩✗✞✗✣✪✓✪✕✡Ô➟✺

⑦ ⑤ s ④ ⑧ ③✱⑤⑩⑨♦❶❸❷❹④❞❷❺⑤⑩⑨

❼❄✇①s ❷❺③ s ③ t ⑨ ✇ ⑥✔❷❺⑤ ✵ ä◗✌✜✓✔✠☞☛✍✌✝ä❨✓✪✣✪✣❽✁✛✆✤☛✖✕à✠❳Ö✡☛×Ù✤✁➟✁✴✶s✥✷✁✛✌❇✌❳☛✖✢✛✩✗✓✪✕✡ÔÞ✠❳Ö✗✢✭✠

✄❇✢✖Û Ù✤☛é✆✤☛✍✌❳✥✷✁✛✌✜✄✝☛✖✩❞Õ❳✓✪✄▼✞✗✣✔✠❳✢✛✕✡☛✍✁☎✞✗Õ❳✣✔ÛæÙ➟Û Õ☞☛✍✫✛☛✍✌✜✢✛✣

✌❳☛✖✢✛✩✡☛✍✌✜Õ✍✯

â

✓✔Ô☎✞✡✌❳☛✏û❉✁☎✕✡☛❽✑✍✢✛✕▼Õ☞☛✍☛✂✠❳Ö✡☛❽✞✗Õ☞☛✂✑✍✢✛Õ☞☛✂✩✗✓✪✢✭Ô✛✌✜✢✛✄❤✥✷✁✛✌❋✠❳Ö✡☛❊✷◗☛✖✢✛✩✡☛✍✌✜Õ➛Ü

(4)

è

✢✭Ù✟✣✔☛✚✻➟✯❽ø✏Õ☞☛✚✑✍✢✛Õ☞☛❾❽

ö

ô❺÷✖î✚✵q♣◗î

ò

❤✹î✘ï◗✢✛✑✘✠☞✁✛✌✘✺

r✺s✎t✈✉❋✇①s✎t ❛✣✔✁☎Õ☞☛

②✠③✴④✬⑤☛⑥ ✷◗☛✖✢✛✩✡☛✍✌

⑦ ⑥ t✱⑧ ③✱⑤⑩⑨♦❶❸❷❹④❞❷❺⑤⑩⑨

⑦ ⑤ s ④ ⑧ ③✱⑤⑩⑨♦❶❸❷❹④❞❷❺⑤⑩⑨ ◆ ☛✖✑✘✌❳☛✖✄✝☛✖✕✹✠❳✓✪✕✡Ô✚✠❳Ö✡☛❨✕➟✞✗✄✚Ù✤☛✍✌✧✁✛✥✤✠❳Ö✡☛❨✢✛✑✘✠❳✓✔✫✛☛❨✌❳☛✖✢✛✩✡☛✍✌✜Õ

✵➭Õ☞Û✒✕✗✑✜Ö✡✌❳✁☎✕✗✓✔Ý✖✢✭✠❳✓✔✁☎✕✳✺

✓✪✣✪✣❫✁✔❝✤☛✍✌✏✠❳Ö✡☛▼ä◗✌✜✓✔✠☞☛✍✌✜Õ◗✠❳Ö✡☛⑤ù✟✌✜Õ☞✠✏✑✜Ö✗✢✛✕✗✑✘☛▼✁✛✥❉✁✛✆✤☛✖✕✒Ü

✓✪✕✡Ô✡✮✗✓✔✥◆✠❳Ö✡☛✍✌❳☛✚✢✭✌❳☛✚✕✡✁❇✢✛✑✘✠❳✓✔✫✛☛✚✌❳☛✖✢✛✩✡☛✍✌✜Õ✚✵➭Õ❳✑✜Ö✡☛✖✩✗✞✗✣✪✓✪✕✡Ô➟✺

❼❄✇①s ❷❺③ s ③ t ⑨ ✇ ⑥✔❷❺⑤ è

Ö✡☛❿✷◗☛✖✢✛✩✡☛✍✌✏✑✍✣✔✁☎Õ☞☛✖Õ❴✠❳Ö✡☛⑤Ù✤✁➟✁✴✶

è

✢✭Ù✟✣✔☛✚✴➟✯❽ø✏Õ☞☛✚✑✍✢✛Õ☞☛❢♠♦❣✗î✘ì➨✵✔➀Øïqë

ñ

î✘ï❴✢✛✑✘✠☞✁✛✌✘✺

r✺s✎t✈✉❋✇①s✎t ❏✏✆✤☛✖✕

②✠③✴④✬⑤☛⑥ ✸ ✌✜✓✔✠☞☛✍✌

⑦ ⑥ t✱⑧ ③✱⑤⑩⑨♦❶❸❷❹④❞❷❺⑤⑩⑨ ❻ ✁➻ä◗✌✜✓✔✠☞☛✍✌✏✓✪Õ❴ä◗✌✜✓✔✠❳✓✪✕✡Ô❇✓✪✕Ø✠❳Ö✡☛⑤Ù✤✁➟✁✴✶Ú✵➭Õ☞Û✒✕✗✑✜Ö✡✌❳✁☎✕✗✓✔Ý✖✢❺Ü

✠❳✓✔✁☎✕✳✺

è

Ö✡☛✍✌❳☛⑤✓✪Õ◗✕✡✁❇✢✛✑✘✠❳✓✔✫✛☛⑤✌❳☛✖✢✛✩✡☛✍✌✜Õ▼✵➭Õ❳✑✜Ö✡☛✖✩✗✞✗✣✪✓✪✕✡Ô➟✺

è Ö✡☛✚ù✟✌✜Õ☞✠✏✑✜Ö✗✢✛✕✗✑✘☛❙✥✷✁✛✌➜✁✛✆✤☛✖✕✗✓✪✕✡Ô❇ä❨✓✪✣✪✣❫Ù✤☛✚✁✔❝✤☛✍✌❳☛✖✩Þ✠☞✁

✠❳Ö✡☛×ä◗✌✜✓✔✠☞☛✍✌✜Õ✚ä❨Ö✡✁➨☛✘ç✒✆✗✌❳☛✖Õ❳Õ☞☛✖✩❝✠❳Ö✡☛✖✓✔✌❙ä❨✓✪Õ❳Ös✠☞✁Þ✁✛✆✤☛✖✕

✠❳Ö✡☛⑤Ù✤✁➟✁✴✶❯Ù✤☛✍✥✷✁✛✌❳☛⑤✢✛✕✹Û❯✌❳☛✖✢✛✩✡☛✍✌✏✩✗✓✪✩é✵➭Õ❳✑✜Ö✡☛✖✩✗✞✗✣✪✓✪✕✡Ô➟✺

â ✕✗✑✘✌❳☛✖✄✝☛✖✕✹✠❳✓✪✕✡Ô ✠❳Ö✡☛ ✕➟✞✗✄✚Ù✤☛✍✌➲✁✛✥æ✢✛✑✘✠❳✓✔✫✛☛ ä◗✌✜✓✔✠☞☛✍✌✜Õ

✵➭Õ☞Û✒✕✗✑✜Ö✡✌❳✁☎✕✗✓✔Ý✖✢✭✠❳✓✔✁☎✕✳✺

⑦ ⑤ s ④ ⑧ ③✱⑤⑩⑨♦❶❸❷❹④❞❷❺⑤⑩⑨

❼❄✇①s ❷❺③ s ③ t ⑨ ✇ ⑥✔❷❺⑤ è Ö✡☛★ä◗✌✜✓✔✠☞☛✍✌➻ä❨✓✪✣✪✣❴✁✛✆✤☛✖✕á✠❳Ö✡☛➨Ù✤✁➟✁✴✶àä❨Ö✗✓✪✑✜Öæ✑✍✢✛✕ Ù✤☛

(5)

è ✢✭Ù✟✣✔☛❄✶✡✯❽ø✏Õ☞☛✚✑✍✢✛Õ☞☛❢❽

ö

ô❺÷✖î✚✵✔➀Øïqë

ñ

î✘ï❴✢✛✑✘✠☞✁✛✌✘✺

r✺s✎t ③ ✇①s✎t ❛✣✔✁☎Õ☞☛

②✠③✴④✬⑤☛⑥ ✸ ✌✜✓✔✠☞☛✍✌

⑦ ⑥ t✱⑧ ③✱⑤⑩⑨♦❶❸❷❹④❞❷❺⑤⑩⑨

⑦ ⑤ s ④ ⑧ ③✱⑤⑩⑨♦❶❸❷❹④❞❷❺⑤⑩⑨

✵ ù✟✌✜Õ☞✠➻✑✜Ö✗✢✛✕✗✑✘☛➨✠☞✁s✁✛✆✤☛✖✕áä❨✓✪✣✪✣❛Ù✤☛★✁✔❝✤☛✍✌❳☛✖✩æ✠☞✁s✠❳Ö✡☛

✌❳☛✖✢✛✩✡☛✍✌✜Õ❉ä❨Ö✡✁❄☛✘ç✒✆✗✌❳☛✖Õ❳Õ☞☛✖✩➻✢❄ä❨✓✪Õ❳Ö❙✠☞✁✚✁✛✆✤☛✖✕✝✠❳Ö✡☛◗Ù✤✁➟✁✴✶

Ù✤☛✍✥✷✁✛✌❳☛❄✠❳Ö✡☛⑤ä◗✌✜✓✔✠☞☛✍✌✜Õ❴✩✗✓✪✩é✵➭Õ❳✑✜Ö✡☛✖✩✗✞✗✣✪✓✪✕✡Ô➟✺

☛✖✑✘✌❳☛✖✄✝☛✖✕✹✠❳✓✪✕✡Ô ✠❳Ö✡☛ ✕➟✞✗✄✚Ù✤☛✍✌á✁✛✥é✢✛✑✘✠❳✓✔✫✛☛➲✌❳☛✖✢✛✩✡☛✍✌✜Õ

✵➭Õ☞Û✒✕✗✑✜Ö✡✌❳✁☎✕✗✓✔Ý✖✢✭✠❳✓✔✁☎✕✳✺

❼❄✇①s ❷❺③ s ③ t ⑨ ✇ ⑥✔❷❺⑤ ✵ ä◗✌✜✓✔✠☞☛✍✌❨ä❨✓✪✣✪✣❱✑✍✣✔✁☎Õ☞☛✚✠❳Ö✡☛▼Ù✤✁➟✁✴✶×✠❳Ö✗✢✭✠➜✄❇✢✖Û➼Ù✤☛⑤✌❳☛✖✢✛✩

Ù➟ÛØÕ☞☛✍✫✛☛✍✌✜✢✛✣❱✌❳☛✖✢✛✩✡☛✍✌✜Õ❴✁✛✌❨ä◗✌✜✓✔✠☞✠☞☛✖✕×Ù➟Û❯✁☎✕✡☛✚✢✛✞✡✠❳Ö✡✁✛✌✖✯

✓✔Ô☎✞✡✌❳☛❇û✭✯❽ø✏Õ☞☛✚✑✍✢✛Õ☞☛✚✩✗✓✪✢✭Ô✛✌✜✢✛✄ ✥✷✁✛✌◗✠❳Ö✡☛➁✷◗☛✖✢✛✩✡☛✍✌✜Õ➛Ü

(6)

✆✗✌❳✁✛Ù✟✣✔☛✖✄Ø✯

â

✠➇✑✍✢✛✕▼Ù✤☛✂✕✡✁✛✠❳✓✪✑✘☛✖✩▼✠❳Ö✗✢✭✠➇✑✘☛✍✌❳✠❳✢✛✓✪✕▼✌❳☛✖ß➟✞✗✓✔✌❳☛✖✄✝☛✖✕✹✠❳Õ❛✵➭✣✪✓➂✶✛☛❴✎➟Û✒✕✗✑✜Ö✡✌❳✁☎✕✗✓✔Ý✖✢❺Ü

✠❳✓✔✁☎✕❙✢✛✕✗✩✝✎✒✑✜Ö✡☛✖✩✗✞✗✣✪✓✪✕✡Ô➟✺✟☛✘ç✒✆✗✌❳☛✖Õ❳Õ☞☛✖✩✚Ù➟Û⑤✆✗✌❳☛✘Ü➏✑✘✁☎✕✗✩✗✓✔✠❳✓✔✁☎✕✗Õ❫✁✛✌❋✆✤✁☎Õ☞✠➛Ü➏✑✘✁☎✕✗✩✗✓✔✠❳✓✔✁☎✕✗Õ◆✢✭✌❳☛

Õ❳✑✍✢✭✠☞✠☞☛✍✌❳☛✖✩à✵➭✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠☞☛✖✩Ø✓✪✕ØÕ☞☛✍✫✛☛✍✌✜✢✛✣◆✞✗Õ☞☛⑤✑✍✢✛Õ☞☛✖Õq✺✜✯

➃ ➄ ❅❙✃➆➅❄Ñ➇✾❆❂✂Ñ✤✃❍❃✰➈➁➉➊✾❱❰❍➋➁➈➍➌➎❳✝✃❉❒✤Ò✫❃✏➮➏❂✚✾❆❲♦❅❿❪➐❇❄❂✂Ñ✟Ñ✤✃❍✾❫➮

✂✌❳☛✖✢✭✠❳✓✪✕✡Ô✚Õ☞Û✒Õ☞✠☞☛✖✄❇Õ❽✩✡☛✖Õ❳✓✔Ô☎✕✗Õ✧✠❳Ö✗✢✭✠❽✑✘✁✛✌❳✌❳☛✖Õ☞✆✤✁☎✕✗✩✝✠☞✁⑤✌❳☛✖✞✗Õ❳✢✭Ù✟✓✪✣✪✓✔✠➏Û✚✆✗✌✜✓✪✕✗✑✍✓✔✆✟✣✔☛✂ä❨Ö✡☛✖✕

✠❳Ö✡☛✍✌❳☛▼✢✭✌❳☛▼✑✘✁☎✕✗✑✍✞✡✌❳✌❳☛✖✕✹✠✏✢✛✑✘✠❳✓✔✫✒✓✔✠❳✓✔☛✖Õ❨✓✪Õ❨✢➻✩✗✓➌ê❯✑✍✞✗✣✔✠❛✠❳✢✛Õ✦✶➼Ù✤☛✖✑✍✢✛✞✗Õ☞☛⑤✁☎✕✡☛▼✄▼✞✗Õ☞✠❨✁✛Ù✡Ü

✠❳✢✛✓✪✕➼✢❇Õ☞✆✤☛✖✑✍✓➌ù✳✑➜Õ☞✁☎✣✪✞✡✠❳✓✔✁☎✕×✥✷✁✛✌◗✠❳Ö✡☛⑤✆✗✌❳✁✛Ù✟✣✔☛✖✄ ä❨Ö✗✓✪✑✜ÖØ✑✍✢✛✕ØÙ✤☛❄✌❳☛✖✞✗Õ☞☛✖✩❱✯

◆ ☛✖Õ❳✓✔Ô☎✕Ø✆✟✢✭✠☞✠☞☛✍✌✜✕✗Õ❨✢✭✌❳☛▼✢✝ä❛✢✖ÛØ✥✷✁✛✌◗ù✳✕✗✩✗✓✪✕✡Ô❙Õ❳✞✗✑✜Ö★Õ☞✁☎✣✪✞✡✠❳✓✔✁☎✕✗Õ✍✯❽✦➨✢✛✕✹ÛØä✂✁✛✌✫✶✒Õ✍✮

✢✛Õ➜ú✳✬ü❱✢✛✕✗✩➨ú▼✬ü➝✮✒✑✘✁☎✕✒ù✟✌✜✄ ✠❳Ö✗✓✪Õ❉✥➭✢✛✑✘✠❽✆✗✌❳☛✖Õ☞☛✖✕✹✠❳✓✪✕✡Ô✚✢✚✕➟✞✗✄✚Ù✤☛✍✌❉✁✛✥❫✩✡☛✖Õ❳✓✔Ô☎✕❇✆✟✢✭✠☞✠☞☛✍✌✜✕✗Õ✍✮

ä❨Ö✗✓✪✑✜Ö➻✑✍✢✛✕➻Ù✤☛✏✢✛✑✍✑✘☛✍✆✗✠☞☛✖✩❯✥✷✁✛✌❛✩✡☛✖Õ❳✑✘✌✜✓✔Ù✟✓✪✕✡Ô❄✢✭Ù✟Õ☞✠☞✌✜✢✛✑✘✠❛✓✪✕✹✠☞☛✍✌✜✢✛✑✘✠❳✓✔✁☎✕✗Õ❽Ù✤☛✍✠➏ä✂☛✍☛✖✕❯✠❳Ö✡☛

Õ☞Û✒Õ☞✠☞☛✖✄ ✁✛Ù✒å☞☛✖✑✘✠❳Õ✍✯ è Ö✡☛Ú✩✡☛✖Õ❳✓✔Ô☎✕❞✆✟✢✭✠☞✠☞☛✍✌✜✕✗Õ➼✩✡☛✖Õ❳✑✘✌✜✓✔Ù✤☛✖✩❞✓✪✕ ú▼✬ü▼Ö✗✢✖✫✛☛❝✢✭✌❳✁☎✞✗Õ☞☛✖✩

✑✘✁☎✕✗Õ❳✓✪✩✡☛✍✌✜✢✭Ù✟✣✔☛❇✓✪✕✹✠☞☛✍✌❳☛✖Õ☞✠✍✯

è

Ö✡☛✍Ûé✢✭✌❳☛❇Ù✟✢✛Õ☞☛✖✩é✁☎✕Ú✆✗✌✜✓✪✄❇✓✔✠❳✓✔✫✛☛✖Õ✏✁✛✥◗✙☎✢✖✫✭✢➼✣✪✢✛✕✡Ô☎✞✗✢✭Ô✛☛

✢✛✕✗✩➼✓✪✕✹✠☞☛✖✕✗✩✡☛✖✩×✥✷✁✛✌✏✑✘✁☎✕✗✑✍✞✡✌❳✌❳☛✖✕✹✠◗✩✡☛✖Õ❳✓✔Ô☎✕❱✯

è Ö✡☛❄✢✛✩✡✫✭✢✛✕✹✠❳✢✭Ô✛☛⑤Ô☎✢✛✓✪✕✡☛✖✩×Ù➟Û❯✞✗Õ☞☛❄✁✛✥❋✩✡☛✖Õ❳✓✔Ô☎✕×✆✟✢✭✠☞✠☞☛✍✌✜✕✗Õ❴✓✪Õ❛✁✛Ù➟✫✒✓✔✁☎✞✗Õ❛Ù✤☛✖✑✍✢✛✞✗Õ☞☛

✞✗Õ❳✓✪✕✡Ô✝✠❳Ö✡☛✖✄ ☛✖✕✗Ö✗✢✛✕✗✑✘☛⑤✌❳☛✖✞✗Õ❳✢✭Ù✟✓✪✣✪✓✔✠➏Û❯✁✛✥➇✠☞☛✖Õ☞✠☞☛✖✩Þ✢✛✕✗✩★Õ❳✞✗✑✍✑✘☛✖Õ❳Õ☞✥➭✞✗✣❫Õ☞✁☎✣✪✞✡✠❳✓✔✁☎✕✗Õ✍✮✗✢✛✕✗✩

Õ❳✢✖✫✛☛✖Õ✚✩✡☛✍✫✛☛✖✣✔✁✛✆✟✄✝☛✖✕✹✠➜✠❳✓✪✄✝☛✛✯ ✸ ☛❇✑✍✢✛✕é✢✛✩✗✩éÖ✡☛✍✌❳☛▼✠❳Ö✗✢✭✠⑤Õ☞Û✒Õ☞✠☞☛✖✄❇Õ➜✑✍✢✛✕é☛✖✢✛Õ❳✓✪✣✔ÛØÙ✤☛

✩✡☛✖Õ❳✑✘✌✜✓✔Ù✤☛✖✩➻✞✗Õ❳✓✪✕✡Ô⑤✆✟✢✭✠☞✠☞☛✍✌✜✕✗Õ✂Ù✤☛✖✑✍✢✛✞✗Õ☞☛❨✠❳Ö✡☛✍Û➻✢✭✌❳☛➜✩✗✓✔✌❳☛✖✑✘✠❳✣✔Û❇✩✡☛✍✠☞☛✍✌✜✄❇✓✪✕✗✓✪✕✡Ô❄✠❳Ö✡☛➜✞✗Õ☞☛

✑✍✢✛Õ☞☛✖Õ✍✯ ✎➟✠❳✓✪✣✪✣✰✮✂✠❳Ö✡☛Þ✞✗Õ☞☛★✁✛✥❄✆✟✢✭✠☞✠☞☛✍✌✜✕✗Õ➻✌❳☛✖✄❇✢✛✓✪✕✗Õ❯✞✗✕✗Õ☞Û✒Õ☞✠☞☛✖✄❇✢✭✠❳✓✪✑➼✢✛✕✗✩ ✄▼✞✗Õ☞✠➻Ù✤☛

✓✪✄✝✆✗✌❳✁✬✫✛☛✖✩❱✯

è

Ö✡☛❉✥➭✢✛✑✘✠◆✠❳Ö✗✢✭✠✍✮✛ä❨Ö✡☛✖✕⑤✣✔✁➟✁✴✶✒✓✪✕✡Ô◗✥✷✁✛✌❋✢✏Õ☞✁☎✣✪✞✡✠❳✓✔✁☎✕❄✁✛✥✗✢◗✆✗✌❳✁✛Ù✟✣✔☛✖✄Ø✮✬✠❳Ö✡☛❽✆✟✢✭✠☞✠☞☛✍✌✜✕✗Õ

✩✡☛✖Õ❳✑✘✌✜✓✔Ù✤☛

ñ

í✡î➜î

ö

î✘õ➻î✘ì

ñ

÷✮➑❣ó

ö✔ò ÷✜÷✖îq÷

ò

ì⑩❤▼ô✢➒➔➓✖î❳ó

ñ

÷✐→

ò

ì⑩❤

ñ

í✡î❴ë✷ì

ñ

î✘ï

ò

ó

ñ

ë✰ô✭ì✡÷★➒✜î

ñ➔➣ î✜î✘ì

ñ

í✡î✘õ❚ú✳✬ü➝✮◆✢✛✣✪✣✔✁✬ä❨Õ❄✞✗Õ➜✠☞✁➼✑✘✁☎✕✗Õ❳✓✪✩✡☛✍✌❄✠❳Ö✡☛✖✄❬✢✛✣✪Õ☞✁➼✢✭✌✜✑✜Ö✗✓✔✠☞☛✖✑✘✠❳✞✡✌✜✢✛✣➇✆✟✢✭✠☞✠☞☛✍✌✜✕✗Õ✍✮❫☛✍✫✛☛✖✕

✓✔✥❋✠❳Ö✡☛✍Û×✩✡☛✍✠☞☛✍✌✜✄❇✓✪✕✡☛✝õ❙ë✰ó✍ï☞ô✭ð

ò

ï☞ó✘í✹ë

ñ

î❳ó

ñ

❦✒ï❳îq÷Øú➌û✛ûqü➝✯

è

Ö✡☛❙✆✗✌❳☛✖Õ☞☛✖✕✹✠☞☛✖✩s✩✡☛✖Õ❳✓✔Ô☎✕é✄✝☛✍✠❳Ö✡✁✒✩❱✮◆✓✪✕é✑✘✁☎✕✹✠☞✌✜✢✛Õ☞✠✚✠☞✁★✄❇✢✛✕✹ÛÞ☛✘ç✡✓✪Õ☞✠❳✓✪✕✡Ô✡✮❫✓✪Õ⑤✢✛✕

✓✪✕✗✩✗✞✗✑✘✠❳✓✔✫✛☛Þ✁☎✕✡☛Ú✓✪✕ ä❨Ö✗✓✪✑✜Ö ✠❳Ö✡☛Ú✩✡☛✖Õ❳✓✔Ô☎✕ ✁✛✥▼✠❳Ö✡☛é✢✭✌✜✑✜Ö✗✓✔✠☞☛✖✑✘✠❳✞✡✌❳☛s✑✘✁☎✄✝☛✖Õ➼✢✭✠➼✠❳Ö✡☛

↔ ✞✗✕✗✓➌ù✳✑✍✢✭✠❳✓✔✁☎✕①↕★✁✛✥◗✠❳Ö✡☛Úó✜ô✭õ✿❣✡ô✭ì✤î✘ì

ñ

÷q✮✂ä❨Ö✗✓✪✑✜Öà✑✍✢✛✕❝Ù✤☛×✑✍✣✪✢✛Õ❳Õ☞☛✖Õ▼✁✛✌❇✩✡☛✖Õ❳✓✔Ô☎✕s✆✟✢✭✠➛Ü

✠☞☛✍✌✜✕✗Õ▼✥✷✌❳✁☎✄ ✢ÞÕ☞✆✤☛✖✑✍✓➌ù✳✑➻✑✍✢✭✠❳✢✛✣✔✁✛Ô✡✯

è

Ö✡☛×Õ☞Û✒✕✹✠❳Ö✡☛✖Õ❳✓✪Õ▼✓✪Õ✚✌❳☛✖✢✛✣✪✓✔Ý✍☛✖✩❝✠❳Ö✡✌❳✁☎✞✡Ô☎Ö❞ó✜ô✭ì✗ð

ì✤î❳ó

ñ

ô✭ï✜÷➜ä❨Ö✗✓✪✑✜Ö➻✑✍✢✛✕❯Ù✤☛✏✑✍✣✪✢✛Õ❳Õ☞☛✖Õ➜✵✷✁✛Ù✒å☞☛✖✑✘✠❳Õq✺❽Õ❳Ö✗✢✭✌❳☛✖✩❇Ù➟Û✝✠➏ä✂✁❙✁✛✌❛✄✝✁✛✌❳☛✏✆✟✢✭✠☞✠☞☛✍✌✜✕✗Õ✍✮

✁✛✌✝✑✍✢✛✕Øå❳✞✗Õ☞✠▼✕✡✁✛✠✚☛✘ç✡✓✪Õ☞✠▼✓✔✥❛✠❳Ö✡☛✍✌❳☛×✑✍✢✛✕sÙ✤☛➻☛✖Õ☞✠❳✢✭Ù✟✣✪✓✪Õ❳Ö✡☛✖✩Ú✢➨✩✗✓✔✌❳☛✖✑✘✠⑤✌❳☛✖✣✪✢✭✠❳✓✔✁☎✕✗Õ❳Ö✗✓✔✆

Ù✤☛✍✠➏ä✂☛✍☛✖✕Ø✠❳Ö✡☛❄✑✍✣✪✢✛Õ❳Õ☞☛✖Õ⑤✵✷✁✛Ù✒å☞☛✖✑✘✠❳Õq✺✂✁✛✥◆✠❳Ö✡☛❄✞✗✕✗✓➌ù✟☛✖✩➻✆✟✢✭✠☞✠☞☛✍✌✜✕✗Õ✍✯

è

Ö✡☛✏✌❳☛✖Õ❳✞✗✣✔✠✂✁✛✥❋✠❳Ö✡☛

Õ☞Û✒✕✹✠❳Ö✡☛✖Õ❳✓✪Õ◗✓✪Õ❨✢❇Õ❳✞✡✆✤☛✍✌☞Ü➏Õ☞✠☞✌✜✞✗✑✘✠❳✞✡✌❳☛➜✁✛✥❉✩✡☛✖Õ❳✓✔Ô☎✕×✆✟✢✭✠☞✠☞☛✍✌✜✕✗Õ❨ä❨Ö✗✓✪✑✜ÖØ✩✡☛✘ù✳✕✡☛✚✢❇✄❇✓✪✑✘✌❳✁✭Ü

✢✭✌✜✑✜Ö✗✓✔✠☞☛✖✑✘✠❳✞✡✌❳☛✛✯

è

Ö✗✓✪Õ✏✓✪Õ✏ä❨Ö✹Û★✠❳Ö✡☛❇Õ☞✠☞✌✜✞✗✑✘✠❳✞✡✌❳☛✝Ö✗✢✛Õ➜Ù✤☛✍☛✖✕Þ✕✗✢✛✄✝☛✖✩

ò

ï☞ó✘í➟Ü➝✆✟✢✭✠☞✠☞☛✍✌✜✕

✓✪✕Ø✁✛✌✜✩✡☛✍✌❨✠☞✁❯✢✖✫✛✁☎✓✪✩★✠❳Ö✡☛⑤☛✍✫✛☛✖✕✹✠❳✞✗✢✛✣❋✑✘✁☎✕✡✥➭✞✗Õ❳✓✔✁☎✕Øä❨✓✔✠❳ÖØ✠❳Ö✡☛

ò

ï☞ó✘í✹ë

ñ

î❳ó

ñ

❦✒ï

ò✭ö

(7)

✠☞☛✍✌✜✄Ø✮✗ä❨Ö✗✓✪✑✜ÖØ✩✡☛✖Õ❳✑✘✌✜✓✔Ù✤☛✖Õ❛✠❳Ö✡☛⑤Õ☞Û✒Õ☞✠☞☛✖✄ ✁☎✕➼✢❇✄✝✁✛✌❳☛⑤✢✭Ù✟Õ☞✠☞✌✜✢✛✑✘✠✏✣✔☛✍✫✛☛✖✣❽ú➌û✖✻✬ü➝✯

è

Ö✡☛Þ✢✛✕✗✢✛✣✔Û✒Õ❳✓✪Õ➻✁✛✥❋✷◗☛✖✢✛✩✡☛✍✌✜Õ➛Ü

✌✜✓✔✠☞☛✍✌✜Õ×✆✗✌❳✁✛Ù✟✣✔☛✖✄■Ö✗✢✛Õ❯✌❳☛✖Õ❳✞✗✣✔✠☞☛✖✩ ✓✪✕ ✢à✑✍✣✪✢✛Õ❳Õ

✄✝✁✒✩✡☛✖✣❫✕✗✢✛✄✝☛✖✩➛➙❸➜✦➝✬➞⑩➜✫➟✂➠①➡❘➢❋➝✬➤①➥⑩➡➨ä❨Ö✗✓✪✑✜ÖØÕ❳Ö✡✁☎✞✗✣✪✩❯Ù✤☛⑤✞✗Õ☞☛✖✩×ä❨Ö✡☛✖✕❆❑

✢✹✺ ✸ ☛❨✕✡☛✍☛✖✩➻✢✛✕❇✓✪✕✹✠☞☛✍✌✜✄✝☛✖✩✗✓✪✢✭✌❳Û✚ä❨Ö✗✓✪✑✜Ö✝ä❨✓✪✣✪✣✹✌❳☛✍✆✗✌❳☛✖Õ☞☛✖✕✹✠❽✢✛✕✗✩❇✄❇✢✛✕✗✢✭Ô✛☛❨✢✛✑✍✑✘☛✖Õ❳Õ

✠☞✁➻✢✛✕Ø✁✛Ù✒å☞☛✖✑✘✠✍✮

Ù✤✺

è

Ö✡☛❴✁✛Ù✒å☞☛✖✑✘✠❉✠❳Ö✗✢✭✠❽✓✪Õ❉✑✍✢✛✣✪✣✔☛✖✩✝✄❇✢✖Û❙Ù✤☛◗✓✪✕❇✢❄✩✗✓➦❝✤☛✍✌❳☛✖✕✹✠❉✢✛✩✗✩✡✌❳☛✖Õ❳Õ❉Õ☞✆✟✢✛✑✘☛◗✠❳Ö✗✢✛✕

✠❳Ö✡☛❄✁☎✕✡☛⑤✁✛✥❋✠❳Ö✡☛✚✑✍✣✪✓✔☛✖✕✹✠❳Õ✍✮

✑✬✺➼❛✣✪✓✔☛✖✕✹✠❳Õ❴✑✍✢✛✕➼Ö✗✢✖✫✛☛▼✩✗✓➦❝✤☛✍✌❳☛✖✕✹✠◗✢✛✑✍✑✘☛✖Õ❳Õ❨✌✜✓✔Ô☎Ö✹✠❳Õ✍✮

✩✳✺➼❛✣✪✓✔☛✖✕✹✠❳Õé✑✍✢✛✕ Ö✗✢✖✫✛☛ ✩✗✓➦❝✤☛✍✌❳☛✖✕✹✠éÙ✤☛✖Ö✗✢✖✫✒✓✔✁✛✌✖✮❇✩✡☛✘ù✳✕✡☛✖✩ ✓✪✕✗✩✡☛✍✆✤☛✖✕✗✩✡☛✖✕✹✠❳✣✔Û❤✁✛✥

✠❳Ö✡☛✖✄Ø✯

è Ö✡☛❨✄✝✁✛✠❳✓✔✫✭✢✭✠❳✓✔✁☎✕✗Õ❉✥✷✁✛✌❽✠❳Ö✗✓✪Õ❉✑✍✣✪✢✛Õ❳Õ❽✄✝✁✒✩✡☛✖✣✗✑✘✁☎✄✚Ù✟✓✪✕✡☛◗✠❳Ö✡✁☎Õ☞☛❨✁✛✥✤✠❳Ö✡☛✮➧

ñ

ï

ò✛ñ

îq❥✴➨❇✢✛✕✗✩

➩ ï☞ô✎➫✴➨⑤✩✡☛✖Õ❳✓✔Ô☎✕❄✆✟✢✭✠☞✠☞☛✍✌✜✕✗Õ❫✥✷✌❳✁☎✄ ú✳✬ü➝✯

è

Ö✗✢✭✠✞✻Õ❫ä❨Ö✹Û✛✮❺✥✷✁✛✌◆Ù✤☛✍✠☞✠☞☛✍✌❋✞✗✕✗✩✡☛✍✌✜Õ☞✠❳✢✛✕✗✩✗✓✪✕✡Ô✡✮✖✓✔✠

ä❛✢✛Õ❛✩✡☛✖✑✍✓✪✩✡☛✖✩❇✠❳Ö✗✢✭✠✂✓✔✠❳Õ✂✕✗✢✛✄✝☛✏Õ❳Ö✡✁☎✞✗✣✪✩❇✑✘✁☎✄✚Ù✟✓✪✕✡☛❨✠❳Ö✡☛✏✕✗✢✛✄✝☛✖Õ❽✁✛✥❱✠❳Ö✡☛✏✢✭Ù✤✁✬✫✛☛✏✆✟✢✭✠➛Ü

✠☞☛✍✌✜✕✗Õ❄✢✛✕✗✩✈➧

ñ

ï

ò✛ñ

îq❥✴➨ ➩ ï☞ô✎➫✴➨ÞÕ❳Ö✡✁☎✞✗✣✪✩➼Ù✤☛❙✓✪✩✡☛✖✕✹✠❳✓➌ù✟☛✖✩➨✢✛Õ❄✢×✩✡☛✖Õ❳✓✔Ô☎✕

ò

ï☞ó✘í➟Ü➝✆✟✢✭✠☞✠☞☛✍✌✜✕

✵❜ ✓✔Ô☎✞✡✌❳☛▼✻☎✺✜✯

❜ ✓✔Ô☎✞✡✌❳☛➻✻➟✯ ◆ ☛✖Õ❳✓✔Ô☎✕

ò

ï☞ó✘í➟Ü➝✆✟✢✭✠☞✠☞☛✍✌✜✕➭➧

ñ

ï

ò✛ñ

îq❥✴➨ ➩ ï☞ô✎➫✴➨Ú✢✭✆✗✆✟✣✪✓✔☛✖✩Þ✠☞✁➼✠❳Ö✡☛❴✷◗☛✖✢✛✩✡☛✍✌✜Õ➛Ü

(8)

✵ ✠❴✠❳Ö✗✓✪Õ✂✆✤✁☎✓✪✕✹✠❛✠❳Ö✡☛⑤✩✡☛✖Õ❳✓✔Ô☎✕

ò

ï☞ó✘í➟Ü➝✆✟✢✭✠☞✠☞☛✍✌✜✕★✑✍✢✛✕➼✢✛✣✔✌❳☛✖✢✛✩✡Û➻✆✗✌❳✁✬✫✒✓✪✩✡☛❄Õ☞✁☎✄✝☛⑤✓✪✕✒Ü

✥✷✁✛✌✜✄❇✢✭✠❳✓✔✁☎✕Ø✌❳☛✍Ô☎✢✭✌✜✩✗✓✪✕✡Ô❙✠❳Ö✡☛❄✓✪✕✗Ö✡☛✍✌✜✓✔✠❳✢✛✕✗✑✘☛❄✢✛✕✡✁☎✄❇✢✛✣✪✓✔☛✖Õ✍✮✡✢✛✕✗✩Ø✢✛✕Ø✁✛Ù✒å☞☛✖✑✘✠➛Ü➝✁✛✌✜✓✔☛✖✕✹✠☞☛✖✩

✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠❳✢✭✠❳✓✔✁☎✕Ø✑✍✢✛✕★✞✗✕✗✩✡☛✍✌✜✣✪✓✪✕✡☛❨✠❳Ö✗✢✭✠✍✯

➯ ➲➳❉✮➵✟✃❍❲❋Ñ①❪➟❰✿✾❫Ò❳✃❽➮✏Ñ✤✃❍❳❪Ò✒❀➸❇✝Ï❳✃❊❀❪✃❽➮✏Ñ➇❂✂Ñ❱Ò❳❰✏➮❬❰✿❫▼Ñ❆❅❙✃➺❇❄✾❱❰✌❉❿❪

Ï❳✃❊❀ Ò✜➮➼➻✮❂➾➽✚❂

è

Ö✡☛✏✢✛✑✘✠❳✓✔✫✛☛➜☛✖✕✹✠❳✓✔✠❳✓✔☛✖Õ➜✵q♣◗î

ò

❤✹î✘ï▼✢✛✕✗✩➊➀Øïqë

ñ

î✘ï⑤✠❳Ö✡✌❳☛✖✢✛✩✗Õq✺➇✁✛✥❱✠❳Ö✡☛✏✑✘✁☎✕✗✑✍✞✡✌❳✌❳☛✖✕✹✠❛Õ☞Û✒Õ➛Ü

✠☞☛✖✄ ä❨✓✪✣✪✣✡✑✍✢✛✣✪✣❊♠♦❣✗î✘ìØ✢✛✕✗✩➚❽

ö

ô❺÷✖î➜✄✝☛✍✠❳Ö✡✁✒✩✗Õ✏✵

✓✔Ô☎✞✡✌❳☛✏✴☎✺✧✢✭✆✗✆✟✣✪✓✔☛✖✩❙✁☎✕❇✠❳Ö✡☛❨✁✛Ù✒å☞☛✖✑✘✠

✩✡☛✘ù✳✕✡☛✖✩éÙ➟ÛÞ✠❳Ö✡☛➶➪✏ô✖ô❞➹✎➘✦➴ ✓✪✕✹✠☞☛✍✌❳✥➭✢✛✑✘☛✛✮❋Ù✟✞✡✠❄ä❨✓✪✣✪✣➇✌❳☛✖✢✛✣✪✓✔Ý✍☛✝✠❳Ö✡☛➻✠❳✢✛Õ✦✶✒Õ⑤ä❨✓✔✠❳Öé✠❳Ö✡☛✖✓✔✌

✁✬ä❨✕★Õ☞✠☞✌✜✢✭✠☞☛✍Ô☎✓✔☛✖Õ▼✵ ❜ ✓✔Ô☎✞✡✌❳☛✚✸☎✺✜✯

❣⑩❦☛➒

ö

ë✰ó✝ó

ö✔ò ÷✜÷★♣◗î

ò

❤✹î✘ï❇î✫➫

ñ

î✘ì⑩❤❺÷➶➷❫í✹ï❳î

ò

❤❞➬

❣⑩❦☛➒

ö

ë✰ó▼ë✷ì

ñ

➘✂❤❞➮

❣⑩❦☛➒

ö

ë✰ó❿➪✏ô✖ô❞➹✎➘✦➴❞õ ➪✏ô✖ô❞➹✬➮

❣⑩❦☛➒

ö

ë✰ó❿♣◗î

ò

❤✹î✘ï✔➑➝ë✷ì

ñ

➘✂❤❞➱➾➪✏ô✖ô❞➹✎➘✦➴✃♣◗î

ò

❤❞➧

ñ

ï

ò✛ñ îq❥✴➨✁→✬➬

ñ

í✹ë♦÷✞❧➦➘✂❤✺❐❒➘✂❤❞➮

õ ➪✏ô✖ô❞➹✺❐❒♣◗î

ò

❤❞➧

ñ

ï

ò✛ñ îq❥✴➨❞➮

❣⑩❦☛➒

ö

ë✰ó❋❰✭ô✭ëÏ❤➻ï✁❦✒ì♦➑➂→✬➬

õ ➪✏ô✖ô❞➹✴❧✐♠♦❣✗î✘ì♦➑➂→✬➮

õ ➪✏ô✖ô❞➹✴❧Ð❽

ö

ô❺÷✖î✴➑➂→✬➮

❜ ✓✔Ô☎✞✡✌❳☛✚✴➟✯✂✙☎✢✖✫✭✢➻✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠❳✢✭✠❳✓✔✁☎✕×✁✛✥❍♣◗î

ò

❤✹î✘ï❇✑✍✣✪✢✛Õ❳Õ

è

Ö✡☛➶➧

ñ

ï

ò✛ñ

îq❥✴➨ ➩ ï☞ô✎➫✴➨Ú☛✖✣✔☛✖✄✝☛✖✕✹✠⑤✥✷✌❳✁☎✄ ❜ ✓✔Ô☎✞✡✌❳☛➻✻×ä❨✓✪✣✪✣➇Ù✤☛❇✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠☞☛✖✩Ú✢✛Õ

✢✛✕➨✢✭Ù✟Õ☞✠☞✌✜✢✛✑✘✠✏✑✍✣✪✢✛Õ❳Õ❙✵

✓✔Ô☎✞✡✌❳☛⑤✶➟✺❛ä❨Ö✗✓✪✑✜Ö➼ä❨✓✪✣✪✣❱✓✪✕✗✑✍✣✪✞✗✩✡☛➜✠❳Ö✡☛▼Õ☞✠❳✢✭✠❳✓✪✑⑤✫✭✢✭✌✜✓✪✢✭Ù✟✣✔☛✖Õ

ò

ó✍ð

ñ

ë❺❰✛î✒♣◗î

ò

❤✹î✘ï✜÷q✮

➣❽ò

ë

ñ

ë✷ì✗❥❞♣◗î

ò

❤✹î✘ï✜÷q✮

ò

ó

ñ

ë❺❰✛î❘➀Øïqë

ñ

î✘ï✜÷q✮

➣❽ò

ë

ñ

ë✷ì✗❥❁➀Øïqë

ñ

î✘ï✜÷❨✢✛✕✗✩❿❣✳ï❳î➔Ñ✖î✘ïqð

➀Øïqë

ñ

î✘ï✜÷⑤✥✷✁✛✌❴✠❳Ö✡☛⑤✑✘✁☎✄❇✄✝✁☎✕Ø✢✛✑✍✑✘☛✖Õ❳Õ◗✆✤✁☎✣✪✓✪✑✘Û➻✢✛✕✗✩×ä❨✓✪✣✪✣✟✩✡☛✘ù✳✕✡☛❄✢✆➪✏ô✖ô❞➹×✓✪✕✹✠☞☛✍✌❳✥➭✢✛✑✘☛

✥✷✁✛✌❨✠❳Ö✡☛❋♣◗î

ò

❤❞➧

ñ

ï

ò✛ñ îq❥✴➨❝✵

✓✔Ô☎✞✡✌❳☛✚✸☎✺❛✢✛✕✗✩Ò➀Øïqë

ñ

î✁➧

ñ

ï

ò✛ñ

(9)

❣⑩❦☛➒ ö ë✰ó ò ➒q÷ ñ ï ò ó ñ ó ö✔ò ÷✜÷❿➧ ñ ï ò✛ñ

îq❥✴➨ ➩ ï☞ô✎➫✴➨×ë✷õ✿❣

ö î✘õ➻î✘ì ñ ÷✮➪✏ô✖ô❞➹✎➘✦➴Ó➬ ❣⑩❦☛➒ ö ë✰ó✚÷ ñ➝ò✛ñ ë✰ó❿➪✏ô✖ô❞➹➻õ ➪✏ô✖ô❞➹✬➮ ❣✳ï☞ô ñ î❳ó ñ î✫❤×÷ ñ➝ò✛ñ ë✰ó▼ë✷ì ñ❛ò ó ñ ë❺❰✛î✒♣◗î ò ❤✹î✘ï✜÷Ô❐ÖÕ✬➮ ❣✳ï☞ô ñ î❳ó ñ î✫❤×÷ ñ➝ò✛ñ ë✰ó▼ë✷ì ñ❊➣❽ò ë ñ ë✷ì✗❥❞♣◗î ò ❤✹î✘ï✜÷❴❐ÖÕ✬➮ ❣✳ï☞ô ñ î❳ó ñ î✫❤×÷ ñ➝ò✛ñ ë✰ó▼ë✷ì ñ❛ò ó ñ ë❺❰✛î❘➀Øïqë ñ î✘ï✜÷❄❐ÖÕ✬➮ ❣✳ï☞ô ñ î❳ó ñ î✫❤×÷ ñ➝ò✛ñ ë✰ó▼ë✷ì ñ❊➣❽ò ë ñ ë✷ì✗❥❁➀Øïqë ñ î✘ï✜÷❄❐×Õ✬➮ ❣✳ï☞ô ñ î❳ó ñ î✫❤×÷ ñ➝ò✛ñ ë✰ó❴➒❳ô✖ô ö î ò ì➶❣✳ï❳î➔Ñ✖î✘ï➐➀Øïqë ñ î✘ï✜÷Ô❐ ñ ï✁❦✟î✁➮ ÷ ñ➝ò✛ñ ë✰ó✂➬

õ ➪✏ô✖ô❞➹✺❐ ì✤î

➣ ➪✏ô✖ô❞➹➐➑➂→✬➮ ❮ ❣⑩❦☛➒ ö ë✰ó✚÷✁➨✭ì✳ó✘í✹ï☞ô✭ì✗ëÙØ✬î✫❤➶❰✭ô✭ëÏ❤❢♠♦❣✗î✘ì♦➑➂→✬➬ ❮ ❣⑩❦☛➒ ö ë✰ó✚÷✁➨✭ì✳ó✘í✹ï☞ô✭ì✗ëÙØ✬î✫❤➶❰✭ô✭ëÏ❤❾❽ ö ô❺÷✖î✴➑➂→✬➬ ❮ ❮ ❜ ✓✔Ô☎✞✡✌❳☛❄✶✡✯✂✙☎✢✖✫✭✢❇✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠❳✢✭✠❳✓✔✁☎✕×✁✛✥Ú➧ ñ ï ò✛ñ

îq❥✴➨ ➩ ï☞ô✎➫✴➨➼✑✍✣✪✢✛Õ❳Õ

è Ö✡☛Û♣◗î ò ❤❞➧ ñ ï ò✛ñ îq❥✴➨✚✑✍✣✪✢✛Õ❳Õ❱ä❨✓✪✣✪✣✭✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠✤✠❳Ö✡☛❽✢✛✑✍✑✘☛✖Õ❳Õ◆✆✤✁☎✣✪✓✪✑✍✓✔☛✖Õ✳✁✛✥✒✠❳Ö✡☛❊✷◗☛✖✢✛✩✡☛✍✌✜Õ ✩✡☛✖Õ❳✑✘✌✜✓✔Ù✤☛✖✩❙✓✪✕❙✠❳Ö✡☛◗✆✗✌❳☛✘Ü➏✑✘✁☎✕✗✩✗✓✔✠❳✓✔✁☎✕✗Õ➇✢✛✕✗✩✝✠❳Ö✡☛❴✆✤✁☎Õ☞✠➛Ü➏✑✘✁☎✕✗✩✗✓✔✠❳✓✔✁☎✕✗Õ❋✁✛✥✤✠❳Ö✡☛◗✞✗Õ☞☛◗✑✍✢✛Õ☞☛✖Õ ✞✗Õ❳✓✪✕✡Ô➛❽◆í✡î❳ó✂➹✎♣◗î ò ❤✬Ü✌❰ ò ë ö✔ò ➒✘ë ö ë ñ ➨❘➑➂→❇✢✛✕✗✩➭❽ ö î ò ï✫♣◗î ò

❤✹î✘ï ➩ ï❳îq÷✖î✘ì✳óqî✴➑➂→❺✯

è Ö✡☛❨✆✟✢✛Õ❳Õ➛Ü➝✠❳Ö✡✌❳✁☎✞✡Ô☎Ö❯✑✘✁☎✕✗✩✗✓✔✠❳✓✔✁☎✕➨ú ➣ í✹ë ö î❴➑ ò ó ñ ë❺❰✛î❘➀Øïqë ñ î✘ï✜÷❿Ý➔❐➳Õ✆Þ➂ÞP➑ ➣❽ò ë ñ ë✷ì✗❥✛ð ➀Øïqë ñ î✘ï✜÷❴Ý➔❐ßÕ❢à✮à✃❣✳ï❳î➔Ñ✖î✘ï➐➀Øïqë ñ î✘ï✜÷✐→✒→✍ü❽✥✷✌❳✁☎✄á♣◗î ò ❤❞➧ ñ ï ò✛ñ îq❥✴➨✭✯✐❽◆í✡î❳ó✂➹✎♣◗î ò ❤✬Ü✌❰ ò ë✷ð ö✔ò ➒✘ë ö ë ñ ➨❘➑➂→❄✓✪Õ❉✩✡☛✍✠☞☛✍✌✜✄❇✓✪✕✡☛✖✩✝Ù➟Û❙✠❳Ö✡☛❨✥✷✁✛✌✜✄▼✞✗✣✪✢✭✠❳✓✔✁☎✕✝✁✛✥✤✠❳Ö✡☛◗✆✗✌❳✁✛Ù✟✣✔☛✖✄❀ä❨Ö✗✓✪✑✜Ö❇✩✡☛✖✕✗✓✔☛✖Õ ✠❳Ö✡☛★✢✛✑✍✑✘☛✖Õ❳Õ❇✠☞✁é✠❳Ö✡☛❭❙✂✁➟✁✴✶ã✓✔✥❨✠❳Ö✡☛✍✌❳☛➼✢✭✌❳☛➼✢✛✑✘✠❳✓✔✫✛☛ ✸ ✌✜✓✔✠☞☛✍✌✜Õ★✵ ò ó ñ ë❺❰✛î❘➀Øïqë ñ î✘ï✜÷♥Ý➔❐

Õ✳✺⑤✁✛✌❙✠❳Ö✡☛✍✌❳☛×✢✭✌❳☛×ä❛✢✛✓✔✠❳✓✪✕✡Ô ✸ ✌✜✓✔✠☞☛✍✌✜ÕØ✵

➣❽ò ë ñ ë✷ì✗❥❁➀Øïqë ñ î✘ï✜÷❭Ý➔❐➆Õ✳✺⑤ä❨Ö✡✁➨Ö✗✢✖✫✛☛➼✢✛✕✒Ü ✕✡✁☎✞✗✕✗✑✘☛✖✩★✠❳Ö✡☛✖✓✔✌◗ä❨✓✪Õ❳ÖØ✠☞✁×✢✛✑✍✑✘☛✖Õ❳Õ✏✠❳Ö✡☛✚Ù✤✁➟✁✴✶Ø☛✖✢✭✌✜✣✪✓✔☛✍✌◗✁✛✌➜✢✭✌❳☛✚✆✗✌❳☛✍✥✷☛✍✌❳✌❳☛✖✩❝✵Ù❣✳ï❳î➔Ñ✖î✘ïqð ➀Øïqë ñ î✘ï✜÷✎❐ ñ ï✁❦✟î✭✺✜✯ è Ö✡☛✏ä❛✢✔✶✒✓✪✕✡Ô❙✁✛✥❋✠❳Ö✡☛❄Õ❳✞✗Õ☞✆✤☛✖✕✗✩✡☛✖✩➻✠❳Ö✡✌❳☛✖✢✛✩✗Õ❛✥✷✌❳✁☎✄â♣◗î ò ❤❞➧ ñ ï ò✛ñ îq❥✴➨✱❧Ð❽ ö î ò ï✫♣◗î ò ð

❤✹î✘ï ➩ ï❳îq÷✖î✘ì✳óqî✴➑➂→Ú✓✪Õ➻✑✘✁☎✕✗✩✗✓✔✠❳✓✔✁☎✕✡☛✖✩áÙ➟Ûã✠❳Ö✡☛★✥➭✢✛✑✘✠❯✠❳Ö✗✢✭✠×✢✛✣✪✣◗✠❳Ö✡☛➨✠❳Ö✡✌❳☛✖✢✛✩✗Õ❇✁✛✥⑤✠❳Ö✡☛

✷◗☛✖✢✛✩✡☛✍✌✜Õ❛✄▼✞✗Õ☞✠✂☛✖✕✗✩➻✠❳Ö✡☛✖✓✔✌✂✢✛✑✘✠❳✓✔✫✒✓✔✠➏Û✛✯

è

Ö✗✓✪Õ❉ä❨✓✪✣✪✣✗✢✛✣✪✣✔✁✬ä ✢✛✣✪✣✟✕✡☛✍ä➺✷◗☛✖✢✛✩✡☛✍✌✜Õ❽✠☞✁✝✢✛✑qÜ

✑✘☛✖Õ❳Õ✂✠❳Ö✡☛✏Ù✤✁➟✁✴✶✝✓✪✕✗✩✡☛✍✆✤☛✖✕✗✩✡☛✖✕✹✠❳✣✔Û✚✁✛✥❫✠❳Ö✡☛✏✕➟✞✗✄✚Ù✤☛✍✌❽✁✛✥❫Õ❳✞✗Õ☞✆✤☛✖✕✗✩✡☛✖✩ ✸ ✌✜✓✔✠☞☛✍✌✜Õ➜✵✷✠❳Ö✡☛✍Û

✑✍✢✛✕✗✕✡✁✛✠❙✄✝✁✒✩✗✓✔✥✷Û➨✠❳Ö✡☛➻✫✭✢✛✣✪✞✡☛➻✁✛✥❴✠❳Ö✡☛Ô❣✳ï❳î➔Ñ✖î✘ï➐➀Øïqë ñ î✘ï✜÷×✫✭✢✭✌✜✓✪✢✭Ù✟✣✔☛➻✓✪✕Ö➀Øïqë ñ î✁➧ ñ ï ò✛ñ ð îq❥✴➨✭✯✐❽◆í✡î❳ó✂➹✎♣◗î ò ❤✬Ü✌❰ ò ë ö✔ò ➒✘ë ö ë ñ ➨❘➑➂→✭✺✜✯ è

Ö✡☛Þ✑✘✁☎✕✗✩✗✓✔✠❳✓✔✁☎✕❀úëÑ✔➑

➣❽ò ë ñ ë✷ì✗❥❞♣◗î ò ❤✹î✘ï✜÷✎❐✮❐✮Õ✒→ ❣✳ï❳î➔Ñ✖î✘ï➐➀Øïqë ñ î✘ï✜÷♥❐ ñ ï✁❦✟î✍ü❛✓✪Õ✚✕✡☛✖✑✘☛✖Õ❳Õ❳✢✭✌❳Ûé✁☎✕✗✣✔ÛÞ✠☞✁➨✆✗✌❳☛✍✫✛☛✖✕✹✠▼✠❳Ö✡☛❯Ö✗✢✛✣✔✠❳✓✪✕✡ÔØ✁✛✥◗✠❳Ö✡☛

✣✪✢✛Õ☞✠❇✠❳Ö✡✌❳☛✖✢✛✩á✁✛✥➜✠❳Ö✡☛ ✸ ✌✜✓✔✠☞☛✍✌✜Õ➻✢✛✕✗✩á✕✡✁✛✠❇✥✷✁✛✌❯✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠❳✢✭✠❳✓✔✁☎✕ã✁✛✥➜✠❳Ö✡☛★✢✛✑✍✑✘☛✖Õ❳Õ

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❣⑩❦☛➒ ö ë✰ó✝ó ö✔ò ÷✜÷★♣◗î ò ❤❞➧ ñ ï ò✛ñ îq❥✴➨➨î✫➫ ñ î✘ì⑩❤❺÷❿➧ ñ ï ò✛ñ îq❥✴➨ ➩ ï☞ô✎➫✴➨✠➬ ë✷ì ñ ➘✂❤❞➮ ❣⑩❦☛➒ ö ë✰ó❿♣◗î ò ❤❞➧ ñ ï ò✛ñ îq❥✴➨❘➑➝ë✷ì ñ ➘✂❤✁→✬➬ ñ í✹ë♦÷✞❧➦➘✂❤✺❐❒➘✂❤❞➮ ❮ ❣⑩❦☛➒ ö ë✰ó✚÷✁➨✭ì✳ó✘í✹ï☞ô✭ì✗ëÙØ✬î✫❤➶❰✭ô✭ëÏ❤❢♠♦❣✗î✘ì♦➑➂→✬➬ ❽◆í✡î❳ó✂➹✎♣◗î ò ❤✬Ü✌❰ ò ë ö✔ò ➒✘ë ö ë ñ ➨❘➑➂→✬➮ õ ➪✏ô✖ô❞➹✴❧✐♠♦❣✗î✘ì♦➑➂→✬➮Pã✱ã➊❽✧ô✭õ❙õ❇ô✭ìÔÑ✍ô✭ï⑤ï❳î ò ❤✁ã ➣ ïqë ñ î➻ô✒❣✗î✘ï ò✛ñ ë✰ô✭ì õ ➪✏ô✖ô❞➹✴❧➦♣◗î ò ❤❘➑➂→✬➮❸ã✱ã❢♣◗î ò ❤➼ô✒❣✗î✘ï ò✛ñ ë✰ô✭ì ❮ ❣⑩❦☛➒ ö ë✰ó✚÷✁➨✭ì✳ó✘í✹ï☞ô✭ì✗ëÙØ✬î✫❤➶❰✭ô✭ëÏ❤❾❽ ö ô❺÷✖î✴➑➂→✬➬ õ ➪✏ô✖ô❞➹✴❧Ð❽ ö ô❺÷✖î✴➑➂→✬➮ ❽ ö î ò ï✫♣◗î ò ❤✹î✘ï ➩ ï❳îq÷✖î✘ì✳óqî✴➑➂→✬➮ ❮ ❣✳ïqë❺❰ ò✛ñ î❋❰✭ô✭ëÏ❤❾❽◆í✡î❳ó✂➹✎♣◗î ò ❤✬Ü✌❰ ò ë ö✔ò ➒✘ë ö ë ñ ➨❘➑➂→✬➬ ➣❽ò ë ñ ë✷ì✗❥❞♣◗î ò ❤✹î✘ï✜÷✔ä✮äÚ➮ ➣ í✹ë ö î✠➑ ò ó ñ ë❺❰✛î❘➀Øïqë ñ î✘ï✜÷❋Ý➔❐ÖÕ➶Þ➂Þ ➑ ➣❽ò ë ñ ë✷ì✗❥❁➀Øïqë ñ î✘ï✜÷❋Ý➔❐ÖÕ✺à✮à➭❣✳ï❳î➔Ñ✖î✘ï➐➀Øïqë ñ î✘ï✜÷✐→✒→✬➬ ÷✁➨✭ì✳ó✘í✹ï☞ô✭ì✗ëÙØ✬î✫❤❘➑➝õ ➪✏ô✖ô❞➹✒→ ➬ ñ ï✁➨❞➬Øõ ➪✏ô✖ô❞➹✴❧ ➣❽ò ë ñ ➑➂→✬➮ ❮ ó ò✛ñ ó✘í⑩➑➔å❍➫✹óqî✐❣ ñ ë✰ô✭ìàî✫➫✂→Ô➬ ❮ ❮ ❮ ➣❽ò ë ñ ë✷ì✗❥❞♣◗î ò ❤✹î✘ï✜÷✂æ✔➮ ò ó ñ ë❺❰✛î✒♣◗î ò ❤✹î✘ï✜÷✔ä✮äÚ➮ ÷✁➨✭ì✳ó✘í✹ï☞ô✭ì✗ëÙØ✬î✫❤❘➑➝õ ➪✏ô✖ô❞➹✒→ ➬ ì✳ô ñ ëÑ✁➨✬Ü ö✷ö ➑➂→✬➮❁ã✱ã ò ì✳ô✔❦✒ì✳óqî✮Ü ö✷ö❆➣❽ò ë ñ ë✷ì✗❥×ï❳î ò ❤✹î✘ï✜÷ ❮ ❮ ❣✳ïqë❺❰ ò✛ñ î❋❰✭ô✭ëÏ❤❾❽ ö î ò ï✫♣◗î ò

❤✹î✘ï ➩ ï❳îq÷✖î✘ì✳óqî✴➑➂→✬➬

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õ ➪✏ô✖ô❞➹✴❧✪ì✳ô

ñ

ëÑ✁➨✬Ü

ö✷ö ➑➂→✬➮

✓✔Ô☎✞✡✌❳☛✚✸➟✯✂✙☎✢✖✫✭✢❇✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠❳✢✭✠❳✓✔✁☎✕×✁✛✥❊♣◗î

ò

❤❞➧

ñ

ï

ò✛ñ

îq❥✴➨★✑✍✣✪✢✛Õ❳Õ

è Ö✡☛✂✄❇✢✬å☞✁✛✌❉✓✪✕✗✑✘✁☎✕✹✫✛☛✖✕✗✓✔☛✖✕✗✑✘Û⑤✁✛✥✗✠❳Ö✗✓✪Õ➇Õ☞✁☎✣✪✞✡✠❳✓✔✁☎✕▼✑✘✁☎✕✗Õ❳✓✪Õ☞✠❳Õ➇✓✪✕✚✠❳Ö✡☛❛✕✡☛✖✑✘☛✖Õ❳Õ❳✓✔✠➏Û✚✠☞✁

✌❳☛✖✩✡☛✘ù✳✕✡☛❄✠❳Ö✡☛⑤☛✖✕✹✠❳✓✔✌❳☛✚✄✝☛✍✠❳Ö✡✁✒✩➼✓✔✥❋✢❇✩✡☛✍✌✜✓✔✫✛☛✖✩➼✑✍✣✪✢✛Õ❳Õ❴✥✷✌❳✁☎✄❛♣◗î

ò

❤❞➧

ñ

ï

ò✛ñ

îq❥✴➨➼ä❨✓✪Õ❳Ö✡☛✖Õ

✠☞✁❯✑✜Ö✗✢✛✕✡Ô✛☛⑤✠❳Ö✡☛✚Õ☞Û✒✕✗✑✜Ö✡✌❳✁☎✕✗✓✔Ý✖✢✭✠❳✓✔✁☎✕×Ù✤☛✖Ö✗✢✖✫✒✓✔✁✛✌❴✁✛✥✮♠♦❣✗î✘ìé✢✛✕✗✩★

ö

ô❺÷✖î▼✄✝☛✍✠❳Ö✡✁✒✩✗Õ✍✯

ç ➬ ❒➇❇❯✃❍❲❋Ñ①❪①➲è✾❫Ò❳✃❽➮✏Ñ✤✃❍❳ Ò✒❀➸❇✝Ï❳✃❊❀❪✃❽➮✏Ñ➇❂✂Ñ❱Ò❳❰✏➮ ❰✿❫➜Ñ❆❅❙✃➊❇❄✾❱❰✌❉❿❪

Ï❳✃❊❀ Ò✜➮❘➬ ❒➇❇❯✃❍❲❋Ñ⑩➻

✵ ✥✷✠☞☛✍✌❛✠❳Ö✡☛✏✢✛✕✗✢✛✣✔Û✒Õ❳✓✪Õ❉✁✛✥◆✩✡☛✖Õ❳✓✔Ô☎✕❇✆✟✢✭✠☞✠☞☛✍✌✜✕✗Õ❽✆✗✌❳☛✖Õ☞☛✖✕✹✠☞☛✖✩❯✓✪✕➨ú✳✬ü❫✢✛✕✗✩➨ú▼✬ü❱✓✔✠❽ä❛✢✛Õ❛✩✗✓✪Õ➛Ü

✑✘✁✬✫✛☛✍✌❳☛✖✩✚✠❳Ö✗✢✭✠❫✠❳Ö✡☛✍✌❳☛❽✢✭✌❳☛❽✕✡✁◗Õ☞✁☎✣✪✞✡✠❳✓✔✁☎✕✗Õ✤✥✷✁✛✌❫✠❳Ö✡☛❉✩✡☛✖Õ❳✑✘✌✜✓✔✆✗✠❳✓✔✁☎✕➜✁✛✥➟✠❳Ö✡☛❽✓✪✕✹✠☞☛✍✌✜✢✛✑✘✠❳✓✔✁☎✕✗Õ

Ù✤☛✍✠➏ä✂☛✍☛✖✕Ú✠❳Ö✡☛✝✥➭✞✗✕✗✑✘✠❳✓✔✁☎✕✗✢✛✣➇✢✛✕✗✩é✕✡✁☎✕✒Ü➝✥➭✞✗✕✗✑✘✠❳✓✔✁☎✕✗✢✛✣➇✑✘✁✒✩✡☛✛✯ è Ö✡☛✝✢✛Õ☞✆✤☛✖✑✘✠➛Ü➝✁✛✌✜✓✔☛✖✕✹✠☞☛✖✩

✢✭✆✗✆✗✌❳✁☎✢✛✑✜Ö✚✁✔❝✤☛✍✌✜Õ◆Õ❳✞✗✑✜Ö✚✢◗✆✤✁☎Õ❳Õ❳✓✔Ù✟✓✪✣✪✓✔✠➏Û❨✢✛✕✗✩⑤✢✛✣✪✣✔✁✬ä❨Õ◆✞✗Õ❱✠☞✁✏✣✔✁✒✑✍✢✛✣✪✓✔Ý✍☛❉✠❳Ö✡☛❽Õ❳✑✍✢✭✠☞✠☞☛✍✌✜✓✪✕✡Ô

✁✛✥➇✠❳Ö✡☛⑤✌❳☛✖ß➟✞✗✓✔✌❳☛✖✄✝☛✖✕✹✠❳Õ❴✓✪✕ØÕ☞☛✍✆✟✢✭✌✜✢✭✠☞☛✚✑✘✁☎✕✗Õ☞✠☞✌✜✞✗✑✘✠❳✓✔✫✛☛✚✞✗✕✗✓✔✠❳Õ❴✕✗✢✛✄✝☛✖✩

ò

÷q❣✗î❳ó

ñ

÷q✯

â ✕❝✠❳Ö✡☛Ø✆✗✌❳✁✛Ù✟✣✔☛✖✄➍✷◗☛✖✢✛✩✡☛✍✌✜Õ➛Ü✸ ✌✜✓✔✠☞☛✍✌✜Õ✍✮❽✠❳Ö✡☛Ø✕✡✁☎✕✒Ü➝✥➭✞✗✕✗✑✘✠❳✓✔✁☎✕✗✢✛✣✂✌❳☛✖ß➟✞✗✓✔✌❳☛✖✄✝☛✖✕✹✠❳Õ

Õ❳✞✗✑✜ÖØ✢✛Õ✍✮✡✠❳Ö✡☛❄Õ☞Û✒✕✗✑✜Ö✡✌❳✁☎✕✗✓✔Ý✖✢✭✠❳✓✔✁☎✕❱✮✡Õ❳✑✜Ö✡☛✖✩✗✞✗✣✪✓✪✕✡Ô✡✮✒✄▼✞✗✣✔✠❳✓✔✆✟✣✔☛❨✢✛✕✗✩×☛✘ç✡✑✍✣✪✞✗Õ❳✓✔✫✛☛➜✢✛✑✍✑✘☛✖Õ❳Õ

✓✔Ô☎✞✡✌❳☛★û✬✺➜✢✭✌❳☛❯✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠☞☛✖✩é✄❇✢✛✕✗✩✗✢✭✠☞✁✛✌❳Ûé✢✛Õ⑤✢✛✕s✢✛Õ☞✆✤☛✖✑✘✠✍✯

è

Ö✗✓✪Õ➜ä❨✓✪✣✪✣➇✢✛✣✪✣✔✁✬ä

✢✛✕ã✢✛✕✡✁☎✄❇✢✛✣✔Û✹Ü➏✣✔☛✖Õ❳Õ❙✓✪✕✗Ö✡☛✍✌✜✓✔✠❳✢✛✕✗✑✘☛➻✁✛✥❨✠❳Ö✡☛Ø✑✍✣✪✢✛Õ❳Õ☞☛✖Õ❙✠❳Ö✗✢✭✠❙✌❳☛✖✢✛✣✪✓✔Ý✍☛×✠❳Ö✡☛❯✥➭✞✗✕✗✑✘✠❳✓✔✁☎✕✗✢✛✣

✌❳☛✖ß➟✞✗✓✔✌❳☛✖✄✝☛✖✕✹✠❳Õ✍✯❞✦★✁✛✌❳☛✍✁✬✫✛☛✍✌✖✮◗✠❳Ö✡☛★ä✂☛✖✢✖✫✒✓✪✕✡Ô❝✄✝☛✖✑✜Ö✗✢✛✕✗✓✪Õ❳✄❇Õ➨ú✴➟✮⑤û✍✼❺ü➜✁✛✥❄✢✛Õ☞✆✤☛✖✑✘✠❳Õ

ä❨✓✔✠❳Ö❇✑✍✣✪✢✛Õ❳Õ☞☛✖Õ❽✢✛✣✪✣✔✁✬ä ✞✗Õ✧✠☞✁▼Õ❳✓✪✄✝✆✟✣✪✓✔✥✷Û⑤✠❳Ö✡☛❨Õ☞Û✒Õ☞✠☞☛✖✄ ✩✡☛✍✫✛☛✖✣✔✁✛✆✟✄✝☛✖✕✹✠✍✮ t➐é❷➔ê➚❷➔⑨ ✇ ④❞❷➔⑨♦ë

✠❳Ö✡☛✏✑✍✣✪✢✛Õ❳Õ☞☛✖Õ❉✁✛✥✤✠❳Ö✡☛✏Õ☞✠☞✌✜✢✭✠☞☛✍Ô☎✓✔☛✖Õ❽✥✷✁✛✌❉✠❳Ö✡☛✌✷◗☛✖✢✛✩✡☛✍✌✜Õ❽✢✛✕✗✩✝✠❳Ö✡☛

✌✜✓✔✠☞☛✍✌✜Õ✏✵

✓✔Ô☎✞✡✌❳☛✏✻☎✺✜✯

è Ö✡☛❴✩✡☛✖Õ❳✑✘✌✜✓✔✆✗✠❳✓✔✁☎✕❙✁✛✥✳✠❳Ö✡☛❨Õ☞✆✤☛✖✑✍✓➌ù✳✑✂Ù✤☛✖Ö✗✢✖✫✒✓✔✁✛✌✧✁✛✥❆✷◗☛✖✢✛✩✡☛✍✌✜Õ❉✢✛✕✗✩ ✸ ✌✜✓✔✠☞☛✍✌✜Õ❉✢✛✕✗✩

✠❳Ö✡☛✚✓✪✩✡☛✖✕✹✠❳✓➌ù✳✑✍✢✭✠❳✓✔✁☎✕×✁✛✥❋✠❳Ö✡☛✖Õ☞☛❄ä❨✓✪✣✪✣✳Ù✤☛❄✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠☞☛✖✩×Ù➟Û×✄✝☛✖✢✛✕✗Õ❴✁✛✥➇Õ☞✆✤☛✖✑✍✓✪✢✛✣❱✢✛Õ➛Ü

✆✤☛✖✑✘✠✧✑✘✁☎✕✗Õ☞✠☞✌✜✞✗✑✘✠❳✓✔✁☎✕✗Õ❁❣✡ô✭ë✷ì

ñ

ó✞❦

ñ

✢✛✕✗✩

ò

❤✔❰✬ë✰óqî❴✁✛✥✗✠❳Ö✡☛ ✵ Õ☞✆✤☛✖✑✘✠✜✙➜✣✪✢✛✕✡Ô☎✞✗✢✭Ô✛☛⑤✵

✓✔Ô☎✞✡✌❳☛

(12)

❣⑩❦☛➒ ö ë✰ó ò ÷q❣✗î❳ó ñ ➧ ñ ï ò✛ñ îq❥✴➨✬Ü➜÷q❣✗î❳ó ñ ➬ ❣✳ï☞ô ñ î❳ó ñ î✫❤Øë✷ì ñ✂ò ó ñ ë❺❰✛î✒♣◗î ò ❤✹î✘ï✜÷❴❐ÖÕ✬➮ ❣✳ï☞ô ñ î❳ó ñ î✫❤Øë✷ì ñ❍➣❽ò ë ñ ë✷ì✗❥❞♣◗î ò ❤✹î✘ï✜÷✆❐ÖÕ✬➮ ❣✳ï☞ô ñ î❳ó ñ î✫❤Øë✷ì ñ✂ò ó ñ ë❺❰✛î❘➀Øïqë ñ î✘ï✜÷❄❐×Õ✬➮ ❣✳ï☞ô ñ î❳ó ñ î✫❤Øë✷ì ñ❍➣❽ò ë ñ ë✷ì✗❥❁➀Øïqë ñ î✘ï✜÷Ô❐ÖÕ✬➮ ❣✳ï☞ô ñ î❳ó ñ î✫❤❢➒❳ô✖ô ö î ò ì✠❣✳ï❳î➔Ñ✖î✘ï➐➀Øïqë ñ î✘ï✜÷❴❐ ñ ï✁❦✟î✁➮ ❣✡ô✭ë✷ì ñ ó✞❦ ñ ♣◗î ò ❤✹î✘ï✔♠♦❣✗î✘ì♦➑➔♣◗î ò ❤✹î✘ï✝ï❳î ò

❤✹î✘ï✒➱ ➩ ï☞ô✎➫✴➨✮❣✳ï☞ô✎➫✴➨✁→✴ì✚ó

ò✭ö✷ö ➑✎í✺í✁❧✐♠♦❣✗î✘ì♦➑➂→✒→ à✮à ñ í✹ë♦÷✔➑➝ï❳î ò ❤✹î✘ï✐→♥à✮à ñ➝ò ïÏ❥➟î ñ ➑➦❣✳ï☞ô✎➫✴➨✁→✬➮ ❣✡ô✭ë✷ì ñ ó✞❦ ñ ♣◗î ò ❤✹î✘ï✴❽ ö ô❺÷✖î✴➑➔♣◗î ò ❤✹î✘ï❇ï❳î ò ❤✹î✘ï✒➱ ➩ ï☞ô✎➫✴➨❿❣✳ï☞ô✎➫✴➨✁→✴ì⑤ó ò✭ö✷ö ➑✎í✺í✁❧Ð❽ ö ô❺÷✖î✴➑➂→✒→ à✮à ñ í✹ë♦÷✔➑➝ï❳î ò ❤✹î✘ï✐→♥à✮à ñ➝ò ïÏ❥➟î ñ ➑➦❣✳ï☞ô✎➫✴➨✁→✬➮ ❣✡ô✭ë✷ì ñ ó✞❦ ñ ➀Øïqë ñ î✘ï✔♠♦❣✗î✘ì♦➑✬➀Øïqë ñ î✘ï ➣ ïqë ñ

î✘ï✒➱ ➩ ï☞ô✎➫✴➨✮❣✳ï☞ô✎➫✴➨✁→✴ì✚ó

ò✭ö✷ö ➑✎í✺í✁❧✐♠♦❣✗î✘ì♦➑➂→✒→ à✮à ñ í✹ë♦÷✔➑ ➣ ïqë ñ î✘ï✐→❭à✮à ñ➝ò ïÏ❥➟î ñ ➑➦❣✳ï☞ô✎➫✴➨✁→✬➮ ❣✡ô✭ë✷ì ñ ó✞❦ ñ ➀Øïqë ñ î✘ï✴❽ ö ô❺÷✖î✴➑✬➀Øïqë ñ î✘ï ➣ ïqë ñ î✘ï✒➱ ➩ ï☞ô✎➫✴➨✮❣✳ï☞ô✎➫✴➨✁→✴ì✚ó ò✭ö✷ö ➑✎í✺í✁❧Ð❽ ö ô❺÷✖î✴➑➂→✒→ à✮à ñ í✹ë♦÷✔➑ ➣ ïqë ñ î✘ï✐→❭à✮à ñ➝ò ïÏ❥➟î ñ ➑➦❣✳ï☞ô✎➫✴➨✁→✬➮ ➒✜î➔Ñ✍ô✭ï❳î✴➑➔♣◗î ò ❤✹î✘ï❙ï❳î ò

❤✹î✘ï✒➱ ➩ ï☞ô✎➫✴➨❿❣✳ï☞ô✎➫✴➨✁→✴ì➦♣◗î

ò ❤✹î✘ï✔♠♦❣✗î✘ì♦➑➝ï❳î ò ❤✹î✘ï✒➱❍❣✳ï☞ô✎➫✴➨✁→✬➬ ➣❽ò ë ñ ë✷ì✗❥❞♣◗î ò ❤✹î✘ï✜÷✔ä✮äÚ➮ ➣ í✹ë ö î★➑ ò ó ñ ë❺❰✛î❘➀Øïqë ñ î✘ï✜÷ÛÝ➔❐✃Õ✮Þ➂Þ❺➑ ➣❽ò ë ñ ë✷ì✗❥❁➀Øïqë ñ î✘ï✜÷ÛÝ➔❐ÓÕ❿à✮à♥❣✳ï❳î➔Ñ✖î✘ï➐➀Øïqë ñ î✘ï✜÷✐→✒→✬➬ ÷✁➨✭ì✳ó✘í✹ï☞ô✭ì✗ëÙØ✬î✫❤❘➑➦❣✳ï☞ô✎➫✴➨✱❧✪õ ➪✏ô✖ô❞➹✒→ ➬ ñ ï✁➨❞➬❋❣✳ï☞ô✎➫✴➨✱❧✪õ ➪✏ô✖ô❞➹✴❧ ➣❽ò ë ñ ➑➂→✬➮ ❮ ó ò✛ñ ó✘í⑩➑➔å❍➫✹óqî✐❣ ñ ë✰ô✭ìàî✫➫✂→✬➬ ❮ ❮ ❮ ➣❽ò ë ñ ë✷ì✗❥❞♣◗î ò ❤✹î✘ï✜÷✂æ✔➮ ò ó ñ ë❺❰✛î✒♣◗î ò ❤✹î✘ï✜÷✔ä✮äÚ➮ ❮ ò Ñ ñ î✘ï✔➑➔♣◗î ò ❤✹î✘ï❙ï❳î ò ❤✹î✘ï✒➱ ➩ ï☞ô✎➫✴➨❿❣✳ï☞ô✎➫✴➨✁→✴ì➦♣◗î ò ❤✹î✘ï✔♠♦❣✗î✘ì♦➑➝ï❳î ò ❤✹î✘ï✒➱❍❣✳ï☞ô✎➫✴➨✁→✬➬ ÷✁➨✭ì✳ó✘í✹ï☞ô✭ì✗ëÙØ✬î✫❤❘➑➦❣✳ï☞ô✎➫✴➨✱❧✪õ ➪✏ô✖ô❞➹✒→✬➬ ❣✳ï☞ô✎➫✴➨✱❧✪õ ➪✏ô✖ô❞➹✴❧➦♣◗î ò ❤❘➑➂→✬➮ ❮ ❮ ò Ñ ñ î✘ï✔➑➔♣◗î ò ❤✹î✘ï❙ï❳î ò

❤✹î✘ï✒➱ ➩ ï☞ô✎➫✴➨❿❣✳ï☞ô✎➫✴➨✁→✴ì➦♣◗î

(13)

ëÑ✔➑

➣❽ò

ë

ñ

ë✷ì✗❥❞♣◗î

ò

❤✹î✘ï✜÷✐→✫❣✳ï❳î➔Ñ✖î✘ï➐➀Øïqë

ñ

î✘ï✜÷✠❐

ñ

ï✁❦✟î✁➮

÷✁➨✭ì✳ó✘í✹ï☞ô✭ì✗ëÙØ✬î✫❤❘➑➦❣✳ï☞ô✎➫✴➨✱❧✪õ ➪✏ô✖ô❞➹✒→

❣✳ï☞ô✎➫✴➨✱❧✪õ ➪✏ô✖ô❞➹✴❧✪ì✳ô

ñ

ëÑ✁➨✬Ü

ö✷ö ➑➂→✬➮

➒✜î➔Ñ✍ô✭ï❳î✴➑✬➀Øïqë

ñ

î✘ï

ïqë

ñ

î✘ï✒➱

ï☞ô✎➫✴➨✮❣✳ï☞ô✎➫✴➨✁→✴ì✒➀Øïqë

ñ

î✘ï✔♠♦❣✗î✘ì♦➑

ïqë

ñ

î✘ï✒➱❸❣✳ï☞ô✎➫✴➨✁→✬➬

➣❽ò

ë

ñ

ë✷ì✗❥❁➀Øïqë

ñ

î✘ï✜÷✔ä✮äÚ➮

í✹ë

ö

î✴➑

ò

ó

ñ

ë❺❰✛î❘➀Øïqë

ñ

î✘ï✜÷Ô❐✮❐ïî✺Þ➂Þ

ò

ó

ñ

ë❺❰✛î✒♣◗î

ò

❤✹î✘ï✜÷ÔÝ➔❐✮Õ➶Þ➂Þ♦Ý❣✳ï❳î➔Ñ✖î✘ï➐➀Øïqë

ñ

î✘ï✜÷✐→✬➬

ëÑ✔➑

ò

ó

ñ

ë❺❰✛î✒♣◗î

ò

❤✹î✘ï✜÷❄Ý➔❐ÖÕ✒→✮❣✳ï❳î➔Ñ✖î✘ï➐➀Øïqë

ñ

î✘ï✜÷Ô❐

ñ

ï✁❦✟î✁➮

÷✁➨✭ì✳ó✘í✹ï☞ô✭ì✗ëÙØ✬î✫❤❘➑➦❣✳ï☞ô✎➫✴➨✱❧✪õ ➪✏ô✖ô❞➹✒→

ñ

ï✁➨❴➬✂❣✳ï☞ô✎➫✴➨✱❧✪õ ➪✏ô✖ô❞➹✴❧

➣❽ò

ë

ñ

➑➂→✬➮

ó

ò✛ñ

ó✘í⑩➑➔å❍➫✹óqî✐❣

ñ

ë✰ô✭ìæîÐ→✬➬

➣❽ò

ë

ñ

ë✷ì✗❥❁➀Øïqë

ñ

î✘ï✜÷✂æ✔➮

ò

ó

ñ

ë❺❰✛î❘➀Øïqë

ñ

î✘ï✜÷✔ä✮äÚ➮

ò

Ñ

ñ

î✘ï✔➑✬➀Øïqë

ñ

î✘ï

ïqë

ñ

î✘ï✒➱ ➩ ï☞ô✎➫✴➨✮❣✳ï☞ô✎➫✴➨✁→✴ì✒➀Øïqë

ñ

î✘ï✔♠♦❣✗î✘ì♦➑

ïqë

ñ

î✘ï✒➱❸❣✳ï☞ô✎➫✴➨✁→✬➬

÷✁➨✭ì✳ó✘í✹ï☞ô✭ì✗ëÙØ✬î✫❤❘➑➦❣✳ï☞ô✎➫✴➨✱❧✪õ ➪✏ô✖ô❞➹✒→✬➬

❣✳ï☞ô✎➫✴➨✱❧✪õ ➪✏ô✖ô❞➹✴❧✒➀Øïqë

ñ

î✴➑➂→✬➮

ò

Ñ

ñ

î✘ï✔➑✬➀Øïqë

ñ

î✘ï

ïqë

ñ

î✘ï✒➱ ➩ ï☞ô✎➫✴➨✮❣✳ï☞ô✎➫✴➨✁→✴ì✒➀Øïqë

ñ

î✘ï✔♠♦❣✗î✘ì♦➑

ïqë

ñ

î✘ï✒➱❸❣✳ï☞ô✎➫✴➨✁→✬➬

ò

ó

ñ

ë❺❰✛î❘➀Øïqë

ñ

î✘ï✜÷✂æ✔➮

ëÑ✔➑

➣❽ò

ë

ñ

ë✷ì✗❥❞♣◗î

ò

❤✹î✘ï✜÷❴Ý➔❐ÖÕ✒→★❣✳ï❳î➔Ñ✖î✘ï➐➀Øïqë

ñ

î✘ï✜÷Ô❐ðÑ

ò✭ö ÷✖î✁➮

÷✁➨✭ì✳ó✘í✹ï☞ô✭ì✗ëÙØ✬î✫❤❘➑➦❣✳ï☞ô✎➫✴➨✱❧✪õ ➪✏ô✖ô❞➹✒→

➬ ❣✳ï☞ô✎➫✴➨✱❧✪õ ➪✏ô✖ô❞➹✴❧✪ì✳ô

ñ

ëÑ✁➨✬Ü

ö✷ö ➑➂→✬➮

✓✔Ô☎✞✡✌❳☛➁■➟✯✚➧

ñ

ï

ò✛ñ

îq❥✴➨✬Ü➜÷q❣✗î❳ó

ñ

Referências

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