Sobre a modelagem da propagação de trincas
por fadiga em estruturas de cascas pressurizadas
✣✕✤✦✥✧✤✩★✡✪✬✫✟✤✦✥✭✤✦✮✝✯✭★✡✰✱★✳✲✵✴✶✥✧✷✹✸✻✺✼★✵✽✾✸✡✺❀✿❁✯✭❂✦✷✦✮✬✿❁✷✦★
✰✱★ ❃❄✮✬✿❁❅✝✤✦✫✧✥✟✿❆✰✬★✡✰✝✤ ✰✱✤ ❇✡❈❉✸ ✽✾★✡❊✬✺❁✸ ✪✱★✡✫✭★
✸✡❋✝✯●✤✦✮✝❍✦❈✻✸ ✰✝✸ ✯✭■❀✯●❊✱✺❀✸ ✰✝✤ ❏❄✸✡❊✝✯●✸✻✫ ✤✦❑
✴✶✮✱▲✻✤✦✮✱▼✬★✡✫✟✿❆★✬◆
❇❖❈❖✸✗✽P★❖❊◗✺❁✸
Sobre a modelagem da propagação de trincas
por fadiga em estruturas de cascas pressurizadas
✣✕✤✦✥✧✤✩★✡✪✬✫✟✤✦✥✭✤✦✮✝✯✭★✡✰✱★✳✲✵✴✶✥✧✷✹✸✻✺✼★✵✽✾✸✡✺❀✿❁✯✭❂✦✷✦✮✬✿❁✷✦★
✰✱★ ❃❄✮✬✿❁❅✝✤✦✫✧✥✟✿❆✰✬★✡✰✝✤ ✰✱✤ ❇✡❈❉✸ ✽✾★✡❊✬✺❁✸ ✪✱★✡✫✭★
✸✡❋✝✯●✤✦✮✝❍✦❈✻✸ ✰✝✸ ✯✭■❀✯●❊✱✺❀✸ ✰✝✤ ❏❄✸✡❊✝✯●✸✻✫ ✤✦❑
✴✶✮✱▲✻✤✦✮✱▼✬★✡✫✟✿❆★✬◆
❯
✫✧✤✦★❱✰✱✤❲✷✹✸✡✮✬✷✹✤✦✮◗✯●✫✭★✻❍❳❈❖✸✬❨
✴P✮✱▲✻✤✦✮✱▼✱★✡✫✟✿✼★❱✰✝✤❲✴✶✥✟✯●✫✧❊✝✯●❊✬✫✭★✡✥
❩
✫✭✿✼✤✦✮✝✯✭★✡✰✱✸✡✫❳❨
❬❭✿❆▲✡❊✝✤✦✺❫❪❴❊✝✿✼❵❜❛❝❊✱✷❳★✡✺❁✤✦❑
❇❖❈❖✸✗✽P★❖❊◗✺❁✸
❞✌❡✭❢✶❣❄❤✐❢✶❤❄✣☎❤❄❪
❯
❞✌❡✭❢✶❤
❞✌❊✱✫✧❊✱♠♥★✻♦♣★✬qr❢P▼✱✫✭✿✼✥✟✯s✿❁★✡✮t❣❄✿✼✰✱✤✦♠✡✿
❇❖✸❖❋✬✫✭✤❜★✗❑✉✸❖✰◗✤✦✺❁★✻▲✡✤✦❑✈✰✝★✉✪✱✫✭✸✡✪✝★✻▲✡★❉❍✦❈✻✸✗✰✱✤✇✯●✫✭✿✼✮✱✷❳★✡✥✕✪✬✸✡✫
①★✡✰✱✿✼▲❉★✉✤✹❑②✤✦✥✟✯●✫✧❊✝✯●❊✬✫✭★✡✥✕✰✬✤❜✷❳★✡✥✭✷❳★❖✥☎✪✱✫✧✤✹✥✧✥✭❊✱✫✭✿✼❵✦★✡✰✝★✡✥✦◆r❇❖❈❉✸✉✽✾★❖❊◗✺❆✸✬q
❘✻❙❉❙✡❚✬◆
③⑤④✻⑥ ✪❫◆
✣☎✤✦✥✭✤⑧⑦⑨❏❧✸✡❊✝✯✭✸✡✫✭★✡✰✝✸✝⑩❷❶✙✴P✥✭✷❳✸❖✺❀★❱✽✾✸✻✺✼✿❁✯✭❂✦✷❳✮✬✿❆✷❳★❱✰✬★❱❃❄✮✱✿❀❅♥✤✦✫✭✥✭✿✼✰✬★❖✰◗✤
✰✱✤❸❇♥❈✻✸❱✽✾★✡❊✱✺❀✸❹◆✬❏❄✤✦✪✱★✡✫✟✯✭★✡❑✗✤✦✮✝✯●✸✉✰✝✤❜✴✾✮✬▲❖✤✦✮✬▼✝★✡✫✭✿❀★❱✰✱✤❲✴✶✥✟✯●✫✭❊◗✯●❊✱✫✟★✡✥☎✤
❞✌❊✱✮✱✰✬★❉❍✦❺✻✤✦✥✦◆
❼
➅
❑❱✿✼✮✱▼✬★➆✤✦✥✭✪✝✸✡✥✭★➆❤❄✰✬✫✭✿❁★✡✮✬✤❉q✶✪✬✤✦✺❁✸➆★✡✪✝✸✡✿❀✸➆✷❳✸❖✮✬✥✟✯●★✡✮✝✯✭✤➇✤➈✿✼✮✱✷❳✸✡✮✱✰✱✿❀✷✦✿❀✸❖✮◗★❖✺❄★✻✸➆✺❀✸❖✮✬▲❉✸
✰✬✤✦✥✭✥✭✤✦✥➊➉✱✺❀✯●✿❀❑❱✸✡✥❱★✡✮✱✸✡✥❳◆✶✴✾❑ ❑❱✸✻❑❱✤✦✮✝✯✭✸✡✥➊✰✱✤➈✰✝✿
①
✿✼✷✦❊✝✺✼✰✱★✡✰✝✤✡q✶✰◗✤➈✪✱✤✦✫✭✰◗★➆✸❖❊➂✰✱✿❀❑❱✿✼✮✱❊✬✿❁❍❳❈✡✸➆✰✝✤
❑✉✸❉✯✭✿❀❅✝★✻❍✦❈❉✸➋q❾❂✗✤✦✺❀★➍➌♥❊✱✤✗❑❱✤✗✿✼✮✱✷❳✤✦✮◗✯●✿❀❅◗★t★➍✷❳✸✡✮✝✯✭✿✼✮✱❊✬★✡✫❧✤✡q➎✥✭✤❳❑➏✰✬➉✝❅✝✿✼✰✝★➋q❾✤✦✥✟✯●✤✗✯✭✫✭★✡❋✬★❉✺✼▼✱✸➍✮◗❈❉✸
✯s✤✦✫✭✿✼★❱✥✟✿✼✰✱✸❱✪✝✸✡✥✭✥✧■❁❅✝✤✦✺❫✥✭✤❳❑✈✸❱✥✧✤✦❊➐★ ①✤❳✯●✸✬q✝✰✱✤✦✰✬✿❆✷❳★✡❍❳❈❉✸✉✤❜✷❳✸✡❑❱✪✱✫✭✤❳✤✦✮✬✥✭❈❉✸➋◆
❤❄✸✡✥❜❑❱✤✦❊✬✥❜✪✱★✻✿✼✥✦q➎➑❜✿❀➒♥✸✡✷✦▼✱✿✌✤➐❢P✿✼✰✱★✬q➎➌♥❊✱✤❱✥✭✤✦❑✉✪✱✫✭✤❱❑✗✤✉✿❆✮✬✷❳✤✦✮✝✯●✿❀❅♥★✡✫✭★❉❑➓✤❱❑❱✤✗✰✬❈❖✸t✸
★✡✪✬✸❉✿✼✸✗✿✼✮✱✰✬✿❆✥✧✪✱✤✦✮✱✥✟➔✻❅✝✤✦✺➎✪◗★❖✫✟★✉❑❱✿✼✮✱▼✝★✡✥☎✫✭✤❳★❖✺❀✿✼❵❳★❖❍❳❺✡✤✦✥✦◆
❤❄✸➍✪✱✫✭✸ ①✤✦✥✭✥✟✸✡✫→❬➍✿❁▲✡❊✬✤✦✺➣❪↔❊✱✿❀❵❱❛↕❊✬✷❳★❖✺❀✤✦❑tq➎✪✱✤✦✺❀★t✷✦✸❉❑✉✪✱✤❳✯✭➙✦✮✱✷❳✿✼★➍✮✝★t✸✡✫✭✿✼✤✦✮♥✯●★✻❍✦❈❉✸t✰✬✤✦✥✟✯●✤
✯s✫✭★✡❋✱★✻✺❆▼✬✸✬➛✱✪✱✤❳✺✼✸❱✤✦✥✟✯✭■✼❑❱❊✝✺✼✸✬q✱✿✼✮✝✷✦✤✦✮✝✯●✿❀❅♥✸➋q✝★✡❑✗✿❆❵❳★✡✰✱✤❲✤❧✷✦✸✡✮ ① ✿❀★✡✮✱❍❳★❱✤❳❑✈❑✗✿✼❑②✰✱✤✦✪✝✸✻✥✭✿❀✯●★✡✰✝✸✡✥✦◆
❤❄✸✡✥✂✪✬✫✭✸ ①✤✦✥✭✥✭✸✡✫✭✤✦✥➜✣✕➉✝✺✼✿❀✸➞➝❄✸✻▲❖❊✬✤❳✿❆✫✧★➟❛↕✿❀✯✭✯●✤✦✮✬✷✹✸✡❊✬✫✟✯➠✤➡❢✾★✡✫✭✺❀✸✡✥✂✴✶✰✬❊✝★✡✫✭✰✱✸❽❢✾▼✱★✻❅✝✤✦✥✦q
✪✬✤✦✺❁★✉✪✱✫✭✤✦✷❳✿✼✸✡✥✟★❱✷❳✸❖✺❀★✡❋✱✸✡✫✟★✡❍❳❈❉✸❱✰✬❊✱✫✭★✡✮◗✯●✤❧✸❱✰✬✤✦✥✭✤✦✮✝❅♥✸✡✺❀❅✝✿❁❑❱✤✦✮◗✯✭✸❱✰✱✸➢✯●✫✟★✡❋✱★✻✺❆▼◗✸❹◆
❤❄✸t❡➤❅✝★✡✮➜➥❉✸✡✥✭✤✗✰✬✤ ❥ ✸✡✰✝✸✻➒➦❬➍★✻❵✦✤❳✺❆✺❀★➋qr✪✬✤✦✺❁✸t✰✬✤✦✥✭✤✦✮✝❅✝✸✻✺❀❅✝✿❁❑❱✤✦✮◗✯✭✸t✰✱✤ ①✤✦✫✭✫✭★✻❑❱✤✦✮♥✯s★❖✥✇✰✱✤
▲✡✤✦✫✟★✡❍❳❈✡✸ ✰✝✤ ❑❱★✻✺✼▼✝★➋q➧✿❆✮✬✰✝✿✼✥✭✪✱✤✦✮✬✥✭➔✻❅♥✤✦✿❆✥ ✪✱★✡✫✟★ ★ ✫✭✤❳★✡✺❁✿✼❵❳★✡❍❳❈❉✸ ✰✬★❖✥ ✥✭✿❀❑❱❊✱✺❀★✡❍✹❺✡✤✦✥ ✰✱✤
✪✬✫✭✸✡✪✱★✻▲❉★✡❍❳❈✡✸➨✰✬✤②✯●✫✭✿✼✮✝✷✦★✬q➠✤✎✪✱✤✦✺❀★✡✥➩✰✱✿✼✥✭✷✦❊✬✥✭✥✭❺✡✤✦✥➩✥✭✸✡❋✱✫✭✤✎✷❳✸✡✮✱✷❳✤✦✿❀✯✭✸✡✥➩✤✦✮✝❅✝✸✻✺➫❅✝✿✼✰✱✸✡✥➩✮✬✤✦✥✟✯●✤
✯s✫✭★✡❋✱★✻✺❆▼✬✸✱◆
❤❄✸✡✥♣★✻❑❱✿❀▲❉✸✡✥✚✰✱✸✉❪❷❬➦❢✐⑦➭❪↔★✡❋✝✸✡✫✭★✻✯✭➯❖✫✧✿❁✸❱✰✬✤➢❬❭✤✦✷✹➲✡✮✝✿✼✷❳★❭❢➣✸✡❑❱✪✱❊◗✯✭★❖✷❳✿✼✸✡✮✝★✡✺⑨⑩❝✤❲✰✱✸✗✽✶✴✾❞
⑦⑨❏❧✤✦✪✱★✡✫✟✯✭★✡❑✗✤✦✮✝✯s✸➏✰✝✤②✴✶✮✝▲✡✤✦✮✱▼◗★❖✫✧✿❁★➓✰✱✤②✴✶✥✟✯●✫✭❊◗✯●❊✱✫✧★❖✥➳⑩➳q✂✪✬✤✹✺❀✸➏★✡✪✝✸✡✿❀✸➏✤②❑✗✸❉❑✉✤✦✮✝✯✭✸✡✥✐✰✱✤
✰✬✤✦✥✭✷✦✸✡✮✝✯●✫✟★✡❍❳❈✻✸➠✪✬✫✭✸✡✪✱✸✡✫✟✷✦✿❀✸❖✮✬★✡✰✝✸✡✥✦◆✾❤♣▲✡✫✭★✡✰✬✤✦❍✹✸✬q✾✤✦❑ ✤✦✥✭✪✬✤✹✷✦✿❀★✡✺➵q✾★✻✸➸❢✶✫✭✿✼✥✟✯s✿❆★✡✮✝✸➜✪✱✤✦✺❀✸➺✥✭❊✱✪✬✸✡✫✟✯●✤
✪✬✫✭✤✦✥✟✯●★✡✰✬✸❱✮✝✸❱❪✜❬➦❢❄◆
➅
❬➍★✡✫✭✺❀➒➻❢✶✸✻✿✼❑❱❋✱✫✟★➋q❄✪✝✤✦✺❀★➼❋◗✸❉★➽❅♥✸✡✮✝✯✭★✡✰✱✤✻q❄✰✱✿✼✥✭✪✝✸✡✥✭✿✼❍❳❈✻✸➾✤➺★✡❊◗➚✬■✼✺❀✿❁✸➡✤❳❑ ✯✭✸✡✰✝★✻✥➈★✡✥
➌♥❊✬✤✦✥✟✯●❺✡✤✦✥☎★❖✰◗❑❱✿✼✮✝✿✼✥✟✯●✫✭★✻✯✭✿❀❅✝★✡✥✕➌♥❊✬✤❜✥✭❊✬✫✭▲✡✿❁✫✭★✡❑②★❉✸✉✺❁✸✡✮✝▲✡✸❱✰✝✤✦✥➪✯●✤❧✯●✫✧★❖❋◗★❖✺✼▼✝✸✬◆
❤❄✸❱❪❷❬➶❢❄q✱✪✬✤❳✺❆★✗✿✼✮✬✥✟✯●★✻✺❆★✻❍✦❈✻✸❱✤❧✤✦➌♥❊✱✿✼✪✝★✻❑❱✤✦✮◗✯✭✸❖✥☎★❱❑✗✿✼❑②✰✱✿✼✥✭✪✝✸✡✮✱✿✼❋✝✿✼✺❀✿✼❵✹★✡✰✬✸❖✥❳◆
❤✩❢P❤❄✽✶✴✕❇❹q✱✪✝✤✦✺❀★❱❋✱✸✻✺✼✥✭★❱✰✱✤✇✤✦✥✟✯●❊✱✰✬✸❱✷❳✸❉✮✬✷✦✤✦✰✱✿✼✰✝★➋◆
❤ ✴✶❑✉❋✱✫✭★✻✤✦✫ ⑦⑨✴✾❑❱✪✱✫✭✤✦✥✧★ ❛↕✫✭★✡✥✭✿❀✺✼✤❳✿❁✫✭★ ✰✱✤ ❤❄✤✦✫✧✸❖✮◗➔❖❊◗✯●✿❀✷✹★ ❇✔◆➹❤❸◆➫⑩sq➏✪✱✸✡✫ ✯s✤✦✫
✪✬✫✭✸✡✪✱✸✡✫✭✷❳✿❀✸❖✮✬★✡✰✝✸➻★❽✷❳✸❖✮✬✷✦✿❁✺✼✿❀★❉❍✦❈✻✸❽✰✱★✡✥➺★❉✯s✿❁❅♥✿✼✰✱★✡✰✝✤✦✥➆✰✬✤✦✥✭✤✦✮✝❅✝✸✻✺❀❅✝✿✼✰✝★✡✥➆✮✱★❽✤✹❑✉✪✝✫✭✤✦✥✭★❽✷❳✸❖❑ ✸
✰✬✤✦✥✭✤✦✮✝❅✝✸✻✺❀❅✝✿✼❑✗✤✦✮✝✯●✸❱✰◗✤✦✥✟✯●★✗✯●✤✦✥✟✤✡◆
❼➩➴
➬✚➮✦➱✭✃✬❐❱❒
❮✗❰ÐÏ❉Ñ➭ÒsÓ✝Ô❉Ñ
Õ↔Ö✼➱✟×●Ø❱Ù✬➮❜Ú➭Ö❀Û❖✃✬Ü✭Ø✡➱
Õ↔Ö✼➱✟×●Ø❱Ù✬➮❧×✭Ø✡Ý✱➮✦Þ❀Ø✡➱
Õ↔Ö✼➱✟×●Ø❱Ù✬❒❖➱☎ß✱Ü✧Ö❆à◗á✦Ö❆ß◗Ø❖Ö✼➱☎➱✭â✼❐❱Ý✝❒✡Þ❀❒❖➱
ã
Ø✡ß✱â❀×●✃✬Þ❁❒➍ä
å
à✝×●Ü✧❒❖Ù✬✃✱æ✦ç✻❒❾è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➋ä
③ ◆③
❩
❋Ðé✟✤❳✯●✿❀❅✝✸✡✥✕✰✬★✗✯✭✤✦✥✭✤❄◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆ ④
③ ◆ê❘ ❇♥✿✼❑❱❊✬✺❁★✻❍✦❈✻✸❱✰✱✤❲✪✱✫✭✸✡✪✝★✻▲✡★❉❍✦❈✻✸❱✰✱✤✇✯●✫✟✿✼✮✱✷❳★✻✥✕✤✦❑②✤✦✥✟✯●✫✭❊◗✯●❊✱✫✧★❖✥☎✰✱✤❲✷❳★❖✥✧✷✹★✡✥☎◆✼◆✼◆❆◆✼◆✼◆ ⑥
③ ◆êë
❩
✫✧▲❖★✡✮✝✿✼❵❳★✡❍❳❈❉✸❱✰✬✸✗✯●✤ì➚◗✯✭✸☎◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ③ ❙
ã Ø✡ß✱â❀×●✃✬Þ❁❒⑧í ã ❒❖à✬á✦➮❳Ö❁×s❒❖➱☎Ú➭✃✱à✬Ù✱Ø✡❐❱➮✦à◗×✭Ø❖Ö✼➱☎Ü✭➮✦Þ❀Ø❖á✦Ö❀❒✡à✝Ø✡Ù✝❒✡➱✕á✦❒✡❐②Ø❱ß✱Ü✧❒❖ß✬Ø❉Û✡Ø✻æ❳ç❖❒✉Ù✱➮❧×sÜ✭Ö✼à✱á✦Ø✡➱
➮✦❐②á❳Ø✡➱✭á✦Ø✡➱ è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➷äîí
❘✬◆③ ❞✌★✻✯✭✸❖✫✧✤✦✥✕✰✬✤❜✿✼✮✝✯✭✤✦✮✬✥✭✿✼✰✝★✡✰✱✤❜✰✬✤❧✯✭✤✦✮✬✥✭❈❉✸✉✤✹❑②✷✦★✡✥✟✷✦★✡✥↕◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ③ ❘
❘✬◆③ ◆③ ❏❧✤
①
✿✼✮✱✿❀❍✦❈✻✸❱✰✱✸✡✥
①
★❉✯✭✸✡✫✭✤✦✥☎✰✱✤❲✿✼✮✝✯✭✤✦✮✱✥✧✿❆✰◗★❖✰◗✤❜✰✱✤✇✯●✤✦✮✱✥✧❈❉✸❱✤❳❑②✷❳★❖✥✧✷✦★❖✥➋◆✼◆✼◆✼◆❆◆ ③ ❚
❘✬◆③ ◆➹❘ ❢P➔❖✺✼✷✦❊✝✺❀✸❱✰✬✸❖✥
①
★✻✯✭✸✡✫✭✤✦✥✕✰✬✤❜✿✼✮✝✯✭✤✦✮✬✥✭✿✼✰✱★✡✰✝✤❧✰✬✤❧✯●✤✦✮✬✥✭❈✻✸✶◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ③⑤⑥
❘✬◆③ ◆ê❘✬◆③ ❬➍❂❳✯●✸✡✰✝✸❱✰✬✸
①
✤❳✷✦▼✱★✻❑❱✤✦✮✝✯✭✸❱✰✬✤❧✯●✫✧✿❆✮◗✷✦★✗❑❱✸✡✰✝✿
①
✿❆✷❳★✡✰✝✸❲◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳❘✡ë
❘✬◆③ ◆ê❘✬◆➹❘ ✴➣➚✬✤✦❑❱✪✝✺❀✸❱✰✱✤✇❅✝★✡✺❁✿✼✰✝★✡❍❳❈✡✸❸◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳❘✡❚
❘✬◆ê❘ ✴
①
✤✦✿❀✯✭✸➈ï➋ðîñ➹ò✱ó✼ô❉ò✉◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳ë✻õ
❘✬◆êë ❢P✫✭✿❀✯●❂✦✫✭✿❀✸❱✰✱✤❲✰✱✿✼✫✭✤❳❍❳❈❖✸✉✰✱✤❜✪✬✫✟✸✡✪✱★✻▲❉★✡❍❳❈❉✸✉✰✱★✗✯●✫✧✿❆✮✬✷❳★↕◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳ë✡ö
ã Ø✡ß✱â❀×●✃✬Þ❁❒❱÷
ø
➱✟×s✃✱Ù✱❒✉ß✱Ø✡Ü✟Ø✡❐✗ù❳×●Ü✭Ö✼á❳❒❱Ù✱➮❲Ú➭Ø❉×✭❒✡Ü☎Ù✱➮ ❰❹úîûýü◗þ✼ÿ❖ü è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è✁♥í
ë✬◆③ ❡➷✮✝✯●✫✧✸❖✰✬❊✱❍❳❈✡✸❧◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆➳õ♥❘
ë✬◆ê❘ ❬➍✤❳✯●✸✡✰✝✸✡✺❀✸❉▲✡✿❀★❱✪✱★✡✫✟★❱✸✉✷✹➔✻✺✼✷✦❊✱✺❀✸❱✰✱✤
①
★⑤✯s✸❉✫✭✤✦✥☎✰✱✤➊ï❹ð ñò◗ó✼ô❖ò ◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆➳õ✡õ
ë✬◆êë ✴➣➚✬✤✦❑❱✪◗✺❁✸❱✰✬✤❧❅✝★✡✺❀✿❆✰◗★❖❍❳❈✡✸→◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆➳õ ④
ë✬◆õ ❢P★❖✥✧✷✦★❱✪✱✫✭✤✦✥✧✥✭❊✱✫✭✿❀❵✦★✡✰✝★❱✥✭✤✦❑②✫✟✤
①
✸✡✫✭❍❳★✡✰✱✸✡✫✟✤✦✥❴◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ④ ❙
ë✬◆④ ❢P★❖✥✧✷✦★❖✥☎✪✱✫✧✤✦✥✭✥✭❊✱✫✧✿❆❵❳★✡✰✝★✡✥☎✷✦✸❉❑②✫✭✤
①
✸✡✫✟❍✦★✡✰✝✸✡✫✭✤✦✥✔◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ④✡④
ë✬◆④ ◆③ ❡➷✮
①
✺✼❊✱➙✦✮✬✷✦✿❁★✉✰✝★❱✰✱✿✼✥✟✯s➲❖✮◗✷✦✿❁★❱✤✦✮◗✯●✫✭✤❲✫✭✤
①
✸❖✫✧❍✹★✡✰✬✸❖✫✟✤✦✥Ð◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ④ ö
ë✬◆④ ◆➹❘ ❡➷✮
①
✺✼❊✱➙✦✮✬✷✦✿❁★✉✰✝★❱➔✡✫✭✤❳★❱✰✱★✉✥✭✤❳❍✦❈❉✸✗✯s✫✟★❖✮✬✥✟❅✝✤✦✫✭✥✭★✡✺➎✰◗✸❖✥☎✫✭✤
①
④ ③
ë✬◆
④
◆õ ❡➷✮ ① ✺✼❊✱➙✦✮✬✷✦✿❁★ ✰✝★ ✫✧✤✹✺❀★✡❍❳❈❖✸ ✤✦✮✝✯●✫✭✤ ✯●✤✦✮✱✥✧❈❉✸ ✷✹✿✼✫✭✷✦❊✬✮ ①✤✦✫✟✤✦✮✬✷✦✿❁★✻✺ ✤
✺✼✸❖✮◗▲❖✿❀✯●❊✬✰✝✿✼✮✱★✻✺ ◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳❚✡ë
ë✬◆
④
◆
④
❡➷✮ ① ✺✼❊✱➙✦✮✬✷✦✿❁★✉✰✝★❱✤✦✥✭✪✬✤✦✥✭✥✭❊✱✫✧★❱✰✱✸❱✫✧✤❳❅◗✤✦✥➪✯●✿❁❑✉✤✦✮✝✯✭✸✶◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳❚
④
ã
Ø✡ß✱â❀×●✃✬Þ❁❒✂
✄
Ü✭➮✆☎✝Ö✼➱✭ç✻❒❱Ù✬➮✝☎✝Ö✼Ù✝Ø✂✞❱Ú➭Ø✡Ù✝Ö✼Û✻Ø❱➮❳❐✈➮✦➱➪×●Ü✭✃✝×s✃✱Ü✭Ø✡➱☎Ø❖➮✦Ü✧❒❖à✠✟❖✃◗×●Ö❀á✦Ø❖➱↔è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è☛✡✌☞
õ➋◆③ ❞✌✿✼✺❁✸✡✥✟✸
①
✿✼★❖✥☎✰✱✤❲✪✱✫✟✸❳é✟✤❳✯●✸✗✲
①
★✡✰✝✿✼▲✻★✔◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳❚✎✍
õ➋◆③ ◆③ ❤❄❋✱✸✡✫✭✰✬★❉▲✡✤❳❑✑✏✓✒✎✔✖✕✘✗✼ñ❀ó✙✔✖✕ ◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳❚✡ö
õ➋◆③ ◆➹❘ ❤❄❋✱✸✡✫✭✰✬★❉▲✡✤❳❑✑✔☛✒❉ó❀ñ✚✗✛✏✓✒✎✔✖✕✶◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ⑥ ❙
õ➋◆③ ◆➹ë ❤❄❋✱✸✡✫✭✰✬★❉▲✡✤❳❑②✰✱✤❧✯✭✸✡✺✼✤✦✫✟➲✡✮✱✷❳✿❀★❱★❉✸✉✰✱★✡✮✝✸❄◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ⑥ ❙
õ➋◆ê❘ ❡➷✮✱✿✼✷✦✿❀★❖❍❳❈✻✸❱✰✱✤✇✯●✫✭✿✼✮✝✷✦★✡✥↔◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ⑥✡④
õ➋◆➹❘✱◆③ ❬➍❂❳✯●✸✡✰✝✸✙❇♥➝✗◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ⑥✡④
õ➋◆➹❘✱◆➹❘ ❬➍❂❳✯●✸✡✰✝✸
ε
➝➜◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ⑥✡⑥õ➋◆êë ✽✶✫✭✸✡✪✝★✻▲✡★❉❍✦❈✻✸❱✰✬✤❧✯●✫✭✿✼✮✝✷✦★✡✥☎✪✝✸✡✫ ①★✡✰✬✿❁▲✡★❧◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ⑥ ö
õ➋◆➹ë✱◆
③
✣☎★✻➚✬★✉✰✱✤❜✪✬✫✟✸✡✪✱★✻▲❉★✡❍❳❈✡✸❱✰✝✤❧✯s✫✭✿✼✮✱✷❳★❱✪✱✸✡✫ ① ★❖✰✬✿✼▲❉★→◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆
⑥
ö
õ➋◆➹ë✱◆➹❘ ✽✶✫✭✤❳❅✝✿✼✥✟❈✡✸❱✰✝✤✇❅✝✿✼✰✱★❱✪✝★✡✫✭★✗✷✦★✡✫✭✫✧✤✹▲✻★✡❑✗✤✦✮✝✯✭✸❱✰✬✤❜★✻❑❱✪✱✺❀✿❀✯●❊✱✰✬✤❜✷❳✸✡✮✱✥✟✯✭★✡✮◗✯●✤✜✍♥❘
õ➋◆➹ë✱◆➹ë ❢P✸❖✮✬✥✭✿✼✰✱✤✦✫✟★✡❍❳❈✡✸❱✰✝✸✡✥
①
★✻✯✭✸✡✫✭✤✦✥☎✰✱✤❲✿❆✮◗✯●✤✦✮✱✥✟✿✼✰✬★❖✰◗✤❜✰✱✤✇✯●✤✦✮✱✥✧❈❉✸❱✰✬✤❧✷✦★✡✥✭✷❳★✡✥✢✍♥ë
ã
Ø✡ß✱â❀×●✃✬Þ❁❒✤✣
✥
➮❳×●❒✡Ù✝❒✡Þ❀❒✡Û❉Ö✼Ø➦ß✬Ø✡Ü✟Ø➦➱✭Ö✼❐❱✃✬Þ❁Ø✡æ❳ç❉❒➶Ù✱➮✙ß✱Ü✭❒✡ß✬Ø❉Û✻Ø✡æ✹ç✡❒➶Ù✱➮➊×●Ü✭Ö✼à✱á❳Ø✡➱❸ß✱❒✡Ü✗Ú➭Ø✡Ù✝Ö✼Û❉Ø
➮✦❐②➮✦➱✟×●Ü✧✃✝×●✃✬Ü✭Ø✡➱✕Ù✬➮❜á❳Ø✡➱✭á✦Ø✡➱✶è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è✁✦✧✣
④
◆
③
❡➷✮✝✯●✫✧✸❖✰✬❊✱❍❳❈✡✸❧◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆★✍
④
④
◆
③
◆
③
✽✶✫✭✸✡✪✝★✻▲✡★❉❍✦❈✻✸❱✰✬✤❧✯●✫✭✿✼✮✝✷✦★✉✪✝✸✡✫✕✺❀✿✼❋✱✤✦✫✟★✡❍❳❈❖✸✗✰✬✤❜✮✬➯❖✥➣◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆★✍
④
④ ◆③ ◆➹❘ ✽✶✫✭✸✡✪✝★✻▲✡★❉❍✦❈✻✸❱✰✬✤❧✯●✫✭✿✼✮✝✷✦★✗✷✦✸✻❑②✫✭✤✦✷❳✸❖✮✬✥✟✯●✫✟❊✬❍✦❈❉✸❱✰✬✤❜❑✗★✡✺✼▼✝★❧◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆★✍♥ö
④ ◆ê❘ ❏❧✤✦✥✭✷✦✫✧✿❆❍❳❈✻✸❱▲✻✤✦✫✭★❉✺❫✰✱★❱❑✗✤❳✯✭✸✡✰✱✸✻✺✼✸❉▲✻✿✼★❱❊✱✥✟★✡✰✬★❱✮✝✸✗✯●✫✧★❖❋◗★❖✺✼▼✝✸→◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳ö✻❙
④ ◆➹❘✱◆③ ❬➍✸✡✰✱✤❳✺✼✸❱❋✝➔✡✥✭✿✼✷❳✸❱✤❧★✻✯●✫✧✿❆❋✬❊✝✯✭✸✡✥☎✰✱★❱✥✭✿✼❑❱❊◗✺❁★✡❍❳❈✡✸ ◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳ö ④
④ ◆➹❘✱◆➹❘ ❬➍✸✡✰✱✤❳✺✼✸❱✪✝★✡✫✭★✉✥✭✿❁❑✉❊✱✺❀★❖❍❳❈✻✸❱✰✱★✉✪✱✫✭✸✡✪✝★✻▲✡★❉❍✦❈✻✸✚◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳ö ⑥
④ ◆➹❘✱◆➹ë ❇♥✸✡✺✼❊✝❍✦❈✻✸❱✰✱✸✗❑✉✸❖✰◗✤✦✺❁✸❱✰✬✤❜✤❳✺✼✤❳❑❱✤✦✮✝✯✭✸✡✥
①
✿❆✮✬✿❀✯●✸✡✥✡◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳ö✡ö
④ ◆➹❘✱◆õ
❩
❋◗✯●✤✦✮✱❍❳❈✡✸❱✰✝✸✡✥
①
★✻✯●✸✡✫✟✤✦✥✕✰✬✤❜✿✼✮✝✯●✤✦✮✬✥✟✿✼✰✱★✻✰✱✤❜✰✬✤❧✯●✤✦✮✬✥✭❈✻✸❷◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳ö✡ö
④ ③ ③
④
◆➹❘✱◆
⑥
❦ ✤✦✷✦✸✡✮✱✥✟✯●✫✧❊✝❍✦❈❉✸✉✰✱★✗❑❱★✻✺✼▼✱★✶◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆
③
❙✡ë
④
◆➹❘✱◆✩✍ ✣☎❂✦✫✭❑❱✿✼✮✝✸❱✰✬★❱✥✭✿❀❑❱❊✱✺❀★✡❍✹❈✻✸✜◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆
③
❙
④
④
◆êë ✴➣➚✬✤✦❑❱✪◗✺❁✸❱✰✬✤❜★✡✪✝✺✼✿❀✷✦★❉❍✦❈✻✸❱✰✱★✗❑✉✤❳✯✭✸❖✰◗✸❖✺❀✸✻▲❖✿❀★❱✰✬✤❜✪✱✫✧✸❖✪◗★❉▲✡★✻❍✦❈❉✸❱✰✬✤❧✯●✫✟✿✼✮✬✷✹★
③
❙
⑥
ã
Ø✡ß✱â❀×●✃✬Þ❁❒✪✡
ø✬✫
➮✦❐❱ß◗Þ❆❒✉Ù✱➮✝☎♥Ø✡Þ✼Ö✼Ù✝Ø✡æ✹ç✻❒✔è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭èîä✡ä✦í
❚✬◆③ ✴✶✥✟✯s✫✭❊✝✯●❊✬✫✭★❱★✡✮✝★✻✺✼✿❆✥✧★❖✰◗★✔◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆ ③✡③ ❘
❚✬◆ê❘ ✴✶✮✬✥✭★❉✿✼✸❫◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆ ③✡③î④
❚✬◆êë ❬➍✸✡✰✱✤❳✺✼✸❱✮✬❊✱❑✗❂✦✫✭✿❀✷✦✸✱◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆ ③✡③ ✍
❚✬◆õ ❬➍✤❳✯●✸✡✰✝✸✡✺❀✸❉▲✡✿❀★❱✤✦❑❱✪✬✫✟✤✦▲❉★✡✰✝★❱✮✬★❱✥✭✿❀❑❱❊✱✺❀★✻❍✦❈❉✸❱✰✬★❱✪✱✫✟✸✡✪✬★❉▲✻★✡❍✹❈✡✸❱✰◗✤❧✯●✫✭✿✼✮✬✷✹★ ③ ❘ ④
❚✬◆④ ❤❄✮✱➔✡✺❀✿✼✥✭✤❜★✡✮✝★✡✺❀■❁✯s✿❁✷❳★✬◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆ ③ ❘✻❚
❚✬◆ê❚
❦
✤✦✥✭❊✱✺❀✯●★✡✰✝✸✡✥☎✮✱❊✬❑❱❂✦✫✟✿✼✷✹✸✡✥☎✤❜✷❳✸✡❑❱✪✝★✡✫✭★✻❍✦❈❉✸✉✰✱✤❜✫✧✤✦✥✭❊✱✺❀✯✭★✡✰✝✸✡✥✶◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆ ③ ❘✻ö
ã Ø✡ß✱â❀×●✃✬Þ❁❒✤☞ ã ❒❖à✬➱✭Ö✼Ù✱➮✦Ü✭Ø✻æ✮✭✻➮✦➱✕Ú➭Ö✼à✱Ø✡Ö✼➱✌è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭è➭èîä✮✌✣
✲
❼
❤ ❑❱✸✡✰✝✤✦✺❀★❉▲✡✤❳❑ ★✡✰✝✤✦➌♥❊✱★✡✰✝★ ✰✝★ ✪✬✫✟✸❖✪✬★❉▲✻★✡❍❳❈❖✸ ✰✱✤ ✯s✫✟✿❆✮✬✷❳★❖✥ ✪✱✸✡✫
①
★✡✰✱✿❀▲❉★ ✤✦❑
①
❊✬✥✭✤✦✺✼★❉▲✡✤✦✮✬✥❜✪✱✫✧✤✦✥✭✥✭❊✱✫✧✿❆❵❳★✡✰✱★✡✥❲❂❱✷❳✸❉❑❱✪✬✺✼✤➳➚✬★➍✰✬✤❳❅✝✿✼✰✝✸➍★➍❊✱❑✗★➍✥✭❂✦✫✧✿❁✤❱✰✬✤
①
★✻✯●✸✡✫✟✤✦✥✦q✔✯●★✡✿✼✥❜✷❳✸✡❑✗✸❹❨❾✸
✤
①
✤✦✿❀✯✭✸➆▲✡✤❳✸❉❑✉✤❳✯●✫✭✿❀✷✦★❉❑❱✤✦✮◗✯✭✤➈✮✱❈✻✸✎✳➤✺❀✿✼✮✱✤❳★✡✫❱✷✦✸✡✮✱▼✱✤❳✷✦✿✼✰✝✸➆✷✦✸✻❑✗✸➟ï❹ð ñò◗ó✼ô❖òrq✶✸➆✫✭✤❳❅✝✤✦✥➷✯●✿✼❑❱✤✦✮◗✯✭✸➆✰✱★✡✥
①❊✬✥✭✤✦✺✼★❉▲✡✤✦✮✬✥➆✥✭✤✦✫➆❋✱★✡✥✟✯●★✡✮◗✯✭✤➼✰✬✤✦✺❁▲✻★✡✰✱✸ ✤➼★❽✪✱✫✧✤✦✥✭✤✦✮✱❍❳★❽✰✱✤➡✫✭✤ ①✸✡✫✟❍✦★✡✰✝✸✡✫✭✤✦✥➆➌♥❊✝✤➡★✡✺❁✯✭✤✦✫✧★❉❑ ★
✰✬✿✼✥✟✯●✫✭✿✼❋✱❊✬✿✼❍✹❈✻✸❱✰✬✤❧✯●✤✦✮✬✥✟❈❖✸✉✮✝★
①
❊✱✥✧✤✦✺❁★✡▲✻✤✹❑❭◆
❃❄❑❱★➧❑❱✤❳✯✭✸✡✰✝✸✡✺❀✸✡▲❉✿❀★✵✪✬★❖✫✟★✳✥✭✿❀❑❱❊✱✺❀★✡✫➾✷✦✸✻❑❱✪✱❊◗✯●★✻✷✦✿❁✸✡✮✝★✡✺✼❑✗✤✦✮✝✯●✤ ★✵✪✬✫✟✸❖✪✬★❉▲✻★✡❍❳❈❉✸✳✰✱✤
✯s✫✭✿✼✮✱✷✦★✡✥ ✪◗✸❖✫ ① ★✡✰✱✿❀▲❉★➇✤✹❑ ✤✦✥✟✯●✫✧❊✝✯●❊✬✫✭★✡✥ ✰✝✤➊✷✦★✡✥✟✷✦★➈✪✱✫✭✤✦✥✧✥✭❊✱✫✭✿❀❵✦★✡✰✝★✡✥ ❋✬★✡✥✟✤✦★❖✰◗★➈✮✱✸➍❑❱❂❳✯✭✸✡✰✬✸➈✰✝✸✡✥
✤✦✺✼✤❳❑❱✤✦✮◗✯✭✸❖✥ ①✿✼✮✱✿❀✯✭✸✡✥✚✤❜✤✦❑✎✷❳✸✡✮✝✷✦✤✦✿➫✯s✸❖✥✚✰✝★✙❬➍✤✦✷❳➲✡✮✝✿✼✷✹★➊✰✱✸❱❞✌✫✭★✻✯●❊✬✫✟★✡❑✗✤✦✮✝✯✭✸⑧❪↔✿✼✮✝✤❳★❖✫✚✴✾✺✼➔✡✥✟✯✭✿✼✷❳★⑧❂
★✡✪✬✫✭✤✦✥✭✤✦✮✝✯✭★✡✰✬★✱◆➧❢✾✸✡❑✗✸ ✫✟✤✦✥✭❊✱✺❀✯✭★✡✰✱✸ ✰✝✤✦✥✭✥✭★ ✥✭✿❀❑❱❊✱✺❀★✡❍✹❈✡✸✬q ✸✡❋✝✯s➙✹❑✴✳➤✥✭✤ ★ ✯s✫✟★✹é✟✤❳✯s➯❖✫✟✿✼★ ✰✱✤
✪✬✫✭✸✡✪✱★✻▲❉★✡❍❳❈✡✸❱✰✝★✗✯s✫✭✿✼✮✱✷❳★❱✤❧✸❱✮✬➉✱❑❱✤✦✫✟✸✉✰✝✤❜✷✦✿❀✷✦✺❁✸✡✥☎✪✱★✡✫✭★✗✸✡✷❳✸✡✫✭✫✭✤✦✫☎★❱✪✱✫✟✸✡✪✱★✻▲✻★❖❍❳❈✻✸➋◆
❃❄❑ ✤✦✥✟✯●❊✬✰✱✸➜✪✱★✡✫✟★✡❑✗❂❳✯●✫✭✿❀✷✦✸✂❂t✫✭✤❳★✡✺❁✿✼❵❳★✡✰✝✸➜✪✱★✡✫✟★✂★✻❅✝★✻✺✼✿❁★✡✫✗★➜✿❆✮
①
✺✼❊✝➙✦✮✱✷❳✿✼★✂✰✬✤t✰✝✿❀❅✝✤✦✫✭✥✭✸✡✥
✪✬★✡✫✭➲❉❑✉✤❳✯●✫✟✸✡✥✦q➺✯✭★❖✿✼✥➧✷❳✸✡❑✗✸✬❨✢✤✦✥✧✪✱✤✦✥✭✥✭❊✬✫✟★ ✰✱✸ ✫✟✤❳❅✝✤✦✥✟✯●✿❀❑❱✤✦✮✝✯✭✸➋q➆✮✝■❀❅✝✤✦✺➽✰✱✤ ✪✱✫✟✤✦✥✧✥✭❊✱✫✭✿✼❵✦★✻❍✦❈❉✸✬q
✷✦✸✻❑❱✪✬✫✭✿✼❑✗✤✦✮✝✯✭✸➍✰✱✤❸✯s✫✭✿✼✮✝✷✦★✱q❾➔✡✫✭✤❳★➍✰✝★➍✥✭✤❳❍✦❈✻✸t✯●✫✟★✡✮✱✥✟❅✝✤✦✫✧✥✭★✡✺➣✤✗✰✬✿✼✥✟✯✭➲✡✮✱✷❳✿✼★❭✤✦✮◗✯●✫✭✤✗✫✟✤
①
✸✡✫✭❍❳★✡✰✱✸✡✫✟✤✦✥✦q
✤✦✮◗✯●✫✭✤➊✸❖❊◗✯●✫✟✸✡✥✦q❴✮✝✸
①
★❉✯✭✸✡✫→✰✱✤➶ï❹ð✦ñýò◗ó❆ô✻ò➜✤✦❑➨✤✦✥✟✯s✫✭❊✝✯●❊✬✫✟★✡✥ ✰✬✤⑧✷❳★✡✥✭✷❳★❖✥→✪✱✫✧✤✦✥✭✥✭❊✱✫✧✿❆❵❳★✻✰✱★✡✥→✷✹✸✡❑➓✸❖❊
✥✧✤✦❑✈✫✭✤
①
✸✡✫✭❍❳★✡✰✝✸✡✫✭✤✦✥✦◆
❤ ❑❱✤❳✯✭✸✡✰✝✸✡✺❁✸✡▲✻✿❁★ ★❖✪✬✫✭✤✦✥✭✤✦✮◗✯✭★❖✰✬★ ❂➓❅✝★✡✺❆✿✼✰✝★✡✰✝★ ✪✝✸✡✫ ❑✗✤✦✿❀✸ ✰✝★ ✥✭✿❀❑❱❊✱✺❀★✡❍❳❈❉✸ ✰✱✤
✪✬✫✭✸✡✪✱★✻▲❉★✡❍❳❈✡✸➩✰✱✤ ✯●✫✟✿✼✮✱✷❳★➩✤✦❑ ❊✬❑✗★
①
❊✱✥✭✤✦✺✼★✻▲❖✤❳❑ ✰✝✤➻❊✬❑ ❛❝✸❉✤✦✿✼✮✝▲ ⑥ ë ⑥ q⑧✥✧✤✹✮✬✰✱✸➧➌♥❊✬✤➞✸✡✥
✫✧✤✦✥✭❊✱✺❀✯●★✡✰✝✸✡✥ ✸✡❋◗✯●✿✼✰✝✸✡✥ ✮✱✤✦✥✧✥✭★ ✥✭✿✼❑✗❊✱✺✼★✻❍✦❈❉✸ ✥✭❈✻✸ ✷✦✸✻❑❱✪✱★✡✫✟★✡✰✝✸✡✥ ✷✦✸✡❑ ✫✭✤✦✥✧❊✱✺❀✯●★✡✰✱✸✡✥
✤ì➚✬✪✬✤✦✫✭✿✼❑✗✤✦✮✝✯✭★✡✿✼✥➟✤✐✷✹✸✡❑ ✸✡✥➟✸✡❋✝✯●✿✼✰✝✸✡✥➡✪✱✸✡✫➟✽
❩
✣✶✵
❩
➝❄❏✷✵ ⑦ ③ ö✻ö✡ë♥⑩s◆❭❤ ✿❀✮
①
✺✼❊✱➙✦✮✬✷✦✿❁★②✰✱✸
✯s★❖❑✗★✡✮✬▼✝✸➐✰◗✸➐✿✼✮✝✷✦✫✭✤❳❑❱✤✦✮◗✯✭✸➐✰◗✤ ✯s✫✭✿✼✮✝✷✦★❱✤❸✰✱✸➊✮✱➉✱❑✗✤✦✫✧✸⑧✰✱✤❸✮✝➯✡✥❄✪✝✸✡✫✚✤✦✺✼✤❳❑❱✤✦✮✝✯✭✸➶⑦ õ⑧✸✡❊➈ö➊✮✝➯✡✥ì⑩
✣✕▼✬✤✏❑❱✸✡✰✬✤✹✺✼✿✼✮✝▲➞✸ ①➊①
★❉✯s✿❁▲✡❊✱✤➂✷✦✫✟★✡✷✦♠➻▲✻✫✭✸✻♦✕✯●▼✐✿✼✮✐✪✱✫✭✤✦✥✧✥✭❊✱✫✭✿✼❵✦✤✦✰
①
❊✱✥✧✤✦✺❆★✻▲✻✤✦✥✂✿✼✥➶❅✝✤✦✫✟➒
✷✦✸✻❑❱✪✬✺❆✤ì➚✂✰✱❊✬✤❱✯✭✸➈❑✗★✡✮✝➒
①
★✡✷❳✯✭✸❖✫✧✥✦q❴✥✭❊✬✷✹▼➺★✡✥❲✯●▼✱✤➊✮✱✸✡✮✱✺❀✿✼✮✱✤❳★✡✫ ✥✟✯s✿ ①➭①
✤✦✮✬✿✼✮✱▲➈✤ ①➭①
✤❳✷❳✯ ✫✧✤
①
✤✦✫✭✫✭✤✦✰➜✯●✸
★✡✥✚❋✱❊✬✺✼▲❉✿✼✮✱▲✬q✱✯s▼✱✤
①
❊✱✥✭✤✦✺❀★✡▲❉✤→✥✭♠♥✿✼✮➍❋✱✤✦✿✼✮✝▲✗❅✝✤✦✫➪➒➐✯●▼✬✿✼✮➍★❖✮✬✰t✯●▼✱✤→✪✱✫✧✤✦✥✭✤✦✮✱✷✦✤❲✸
①
✥✟✯●✿ ①➭①
✤✦✮✬✤✦✫✭✥☎♦♣▼✬✿✼✷✦▼
❑✉✸❖✰◗✿①✿✼✤✦✥❝✯●▼✱✤❲✥✟✯●✫✭✤✦✥✧✥✕✰✬✿❆✥➪✯●✫✭✿✼❋✱❊◗✯●✿❁✸✡✮✙✸✡✮➐✯s▼✱✤ ①❊✬✥✭✤✦✺✼★❉▲✡✤✻◆
❤ ❑❱✤❳✯●▼✝✸✡✰✝✸✡✺❀✸❉▲✻➒ ① ✸✡✫➾✯s▼✱✤❽✷✹✸✡❑❱✪✬❊✝✯✭★Ð✯●✿✼✸✡✮✝★✡✺➦❑✗✸✡✰✱✤❳✺✼✿✼✮✝▲✵✸ ① ✯●▼✝✤ ①★✻✯●✿❁▲✡❊✬✤ ✷❳✫✭★✡✷✦♠
▲✡✫✭✸✻♦☎✯●▼➆✿✼✮➆✪✱✫✭✤✦✥✧✥✭❊✱✫✭✿✼❵✦✤✦✰➆✥✭▼✬✤❳✺❆✺☎✥✟✯●✫✧❊✝✷❳✯✭❊✱✫✭✤✦✥✹q➣❋✝★✡✥✭✤✦✰➆✸✡✮➆✯s▼✝✤ ①✿❆✮◗✿❁✯s✤➐✤❳✺✼✤❳❑❱✤✦✮✝✯❸❑❱✤❳✯●▼✝✸✡✰➆★✡✮✱✰
✷✦✸✡✮✬✷✹✤✦✪◗✯●✥→✸ ① ❪❴✿✼✮✱✤❳★✡✫→✴✾✺❆★✡✥✟✯✭✿✼✷➊❞➣✫✟★✡✷❳✯●❊✬✫✟✤➐❬➍✤✦✷✦▼✬★✡✮✝✿✼✷✦✥❳q❴✿✼✥ ✪✬✫✭✤✦✥✭✤✦✮✝✯s✤✦✰➎◆❴❤❄✥→★➈✫✭✤❳✥✭❊✬✺❁✯❸✸ ① ✯●▼✬✿✼✥
✮✬❊✱❑❱✤✦✫✧✿❁✷✦★✻✺✚✥✭✿✼❑❱❊✝✺❀★❉✯s✿❁✸✡✮➎q✌✯●▼◗✤➍✷✦✫✟★❖✷✦♠➺✯✭✫✧★✹é✟✤✦✷❳✯✭✸✡✫✟➒➸★✡✮✬✰➸✯●▼✬✤ ①★✻✯●✿❀▲✡❊✱✤➍✪✬✫✟✸❖✪◗★❖▲✻★Ð✯●✿✼✸❖✮✢✺❆✿ ①✤t★✡✫✭✤
✸✡❋◗✯●★❉✿✼✮✬✤✦✰❾◆
❤➏✪✬★❖✫✧★❖❑✗✤❳✯s✫✭✿✼✷➦✥✟✯●❊✬✰✝➒➽✿❆✥✙✪✱✤✦✫
①
✸❖✫✧❑❱✤✦✰✏✯s✸➸✿✼✮✝❅✝✤✦✥✟✯●✿✼▲✻★✻✯✭✤➈✯●▼✬✤➦✿✼✮
①
✺✼❊✱✤✦✮✬✷❳✤➦✸
①
✥✭✤❳❅✝✤✦✫✧★❉✺
✪✬★✡✫✭★❉❑✉✤❳✯✭✤✦✫✭✥✦q➎✥✭❊✬✷✦▼✂★✡✥❜✥✧♠♥✿❆✮➶✯●▼✬✿❆✷✦♠♥✮✬✤✦✥✭✥❳q➎✪✱✫✧✤✦✥✭✥✭❊✱✫✧✿❆❵✦★✻✯✭✿❀✸✡✮✂✺✼✤❳❅✝✤❳✺ q❫✷✦✫✧★❉✷✦♠➈✺✼✤✦✮✝▲✻✯●▼rq➎✥✟✯●✫✭❊✬✷❳✯●❊✱✫✭★✡✺
★✡✫✭✤❳★➩✸ ① ✯●▼◗✤➞✥✟✯●✿ ①➭①✤✦✮✱✤✦✫✧✥✦q❱✰✝✿✼✥✟✯●★✡✮✝✷✦✤➟❋✬✤❳✯✭♦♣✤✦✤✦✮②✥✟✯✭✿ ①➭① ✤✦✮✱✤✦✫✧✥✦q✗✸❖✮✳✯●▼✬✤➞❋✱❊✝✺✼▲✻✿✼✮✝▲➩✤ ①➭① ✤✦✷❳✯ ①✸✡✫
❊✬✮✱✥✟✯s✿ ①➭①
✤✦✮✬✤✦✰t★❖✮✬✰t✥✟✯●✿ ①➭①
✤✦✮✱✤✦✰t✪✱✫✧✤✦✥✭✥✭❊✱✫✧✿❆❵❳✤❳✰t✥✭▼✱✤✦✺✼✺✼✥✦◆
✣✕▼✬✤➦❑❱✤❳✯s▼✱✸✡✰✝✸✻✺❆✸✻▲✻➒➾✿✼✥➊❅✝★❖✺❀✿✼✰✱★✻✯✭✤✦✰➡❋✝➒➽❑❱✤✦★✡✮✱✥✙✸
①
★
①
★✻✯●✿❀▲❖❊◗✤➦✷✦✫✭★✻✷✦♠✏✪✬✫✭✸✡✪✱★✻▲❉★✻✯●✿❀✸✡✮
✥✧✿❆❑✉❊✱✺❀★❉✯s✿❁✸✡✮➺✿✼✮➠★➶❛✶✸✡✤❳✿❆✮✬▲ ⑥ ë ⑥ ★✡✿✼✫✭✪✝✺✼★✻✮✱✤
①
❊✱✥✭✤✦✺❀★✡▲❉✤✡◆↔✣✕▼✬✤➐✫✟✤✦✥✭❊✬✺❀✯●✥ ✸
①
✯●▼✱✿✼✥❸✥✭✿❀❑❱❊✱✺❀★✻✯●✿❀✸❖✮➺★✡✫✭✤
✷✦✸✻❑❱✪✬★❖✫✟✤✦✰✙♦✚✿❀✯●▼t✤ì➚✬✪✱✤✦✫✭✿❀❑❱✤✦✮✝✯✭★✡✺➎✫✟✤✦✥✧❊✱✺❀✯✭✥✕★✡✮✬✰➐✯s▼✱✸✡✥✭✤❜✸✡❋◗✯✭★❖✿✼✮✝✤✦✰t❋◗➒➐✽
❩
✣✶✵
❩
➝♣❏❃✵✈⑦ ③ ö✻ö❉ë♥⑩➳◆
❤❄✰✬✰✱✿❀✯●✿❀✸✡✮✱★✻✺❆✺❀➒✔q❾✯●▼✬✤✗✿❆✮
①
✺✼❊✱✤✦✮✝✷✦✤✗✸
①
✯●▼✬✤✗✷✦✫✭★✡✷✦♠➍✿✼✮✱✷✦✫✭✤❳❑❱✤✦✮◗✯❜★✡✮✱✰➶✯●▼✝✤❱✮✬❊✱❑❱❋✝✤✦✫✇✸
①
✮✱✸✡✰✝✤✦✥❜✪✬✤✦✫
❄
❇❉❈❋❊✬●✙❍✱■❑❏▼▲❖◆
❞✌✿❀▲✡❊✱✫✭★ ③ ◆③ ❶✙❞✌★❉✺✼▼✱★✉✰✝★
①
❊✱✥✧✤✦✺❁★✡▲✻✤✦❑✈✰✝✤❲❊✱❑②❛↕✸✡✤❳✿✼✮✝▲ ⑥ ë ⑥ ✰✝★❱❤❄✺❀✸❖▼✬★❱❤✚✿✼✫✭✺❁✿✼✮✬✤✦✥❾◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✟❘
❞✌✿❀▲✡❊✱✫✭★ ③ ◆➹❘ ❶ ❇♥✤❳❍✦❈✻✸ ✯●✫✭★✡✮✬✥✟❅✝✤✦✫✭✥✟★✡✺➩✰✱★
①
❊✬✥✭✤✦✺✼★❉▲✡✤❳❑ ✰✱✸ ✴
❦
➥P✳ ③⑤⑥ ❙ ✰✝★ ✴✾❑❱❋✬✫✭★✡✤✦✫
⑦
❥ ❩
➝❜❢✶❤❄❪❘◗✇✴☎❇⑧✤❳✯☎★✡✺✶⑦ ❘✻❙❉❙✡ë♥⑩✭⑩✌◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆➷õ
❞✌✿❀▲✡❊✱✫✭★
③
◆➹ë❜❶➈❇✡✿✼❑❱❊✬✺❁★✻❍✦❈❉✸✉✰✱★❱✪✬✫✟✸❖✪✬★❉▲✻★✻❍✦❈❉✸❱✰✬✤❧✯●✫✧✿❆✮◗✷✦★❖✥☎✪✱✸✡✫ ①★✡✰✝✿❁▲✡★↔◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✟ö
❇❉❈❋❊✬●✙❍✱■❑❏▼▲❚❙
❞✌✿❀▲✡❊✱✫✭★ ❘◗◆③ ❶ ❬t✸❖✰✬✸✡✥➻✰✱✤ ✷✦★❖✫✧✫✟✤✦▲❉★✻❑❱✤✦✮✝✯✭✸ ✰✝★ ✯●✫✟✿✼✮✱✷❳★ ✷✦✸✡✮✱✥✧✿❆✰◗✤✦✫✭★✡✮✱✰✝✸ ★✎✯●✤❳✸✡✫✭✿❀★ ✰✝★
✤✦✺❀★✡✥✟✯●✿✼✷❳✿✼✰✱★✡✰✝✤❧✯s✫✭✿✼✰✱✿❀❑❱✤✦✮✱✥✟✿✼✸✡✮✝★✡✺✟◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ③ ë
❞✌✿❀▲✡❊✱✫✭★❱❘✬◆➹❘❜❶➈❇✡✿✼✥✟✯●✤✦❑✗★✉✰✱✤❜✷❳✸✻✸✡✫✭✰✱✤✦✮✝★✡✰✝★✡✥☎✺✼✸❉✷✦★✻✺➎✮✱★✉✪✝✸✡✮✝✯✭★❱✰✬★✗✯●✫✭✿✼✮✝✷✦★✚◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆
③
õ
❞✌✿❀▲✡❊✱✫✭★➺❘✝◆➹ët❶ ❩ ✥✗➌♥❊✱★✻✯●✫✭✸ ①★✻✯✭✸❖✫✧✤✦✥✗✰✱✤✙✿❆✮◗✯●✤✦✮✱✥✧✿❆✰✬★✡✰✝✤t✰✱✤✙✯●✤✦✮✱✥✧❈❉✸➜✪✱★✡✫✟★➜✷✹★✡✥✭✷✦★✻✥✗✪✱✫✧✸❖✪✬✸✡✥✟✯●✸✡✥
✪✬✸✡✫✕❣❄❃❄❡●➛❱❯➋✴✶❣❄➝❄❏✇✴ ❦ ⑦
③
ö❉ö✻ë♥⑩❾◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆
③
❚
❞✌✿❀▲✡❊✱✫✭★❱❘✬◆õ ❶
❦
✤✦✪✱✫✟✤✦✥✭✤✦✮◗✯✭★✡❍✹❈✡✸✗✤✦✥✭➌♥❊✬✤❳❑❱➔✻✯✭✿❆✷❳★❱✰✬✤❜❊✬❑✵✿✼✮✱✷✦✫✭✤❳❑❱✤✦✮◗✯✭✸❱✰✱✤✇✯●✫✭✿✼✮✝✷❳★
δ
◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ③⑤⑥❞✌✿❀▲✡❊✱✫✭★➩❘◗◆④ ❶ ❢➣★❖❑✉✪✝✸➩✰✝✤➟✯●✤✦✮✬✥✟❺✡✤✦✥➸✮✱★➩✫✭✤❳▲✻✿✼❈❉✸➩✪✬✫✟➯✻➚✬✿✼❑✗★✐✲✐✯●✫✟✿✼✮✱✷❳★➩✮✝✸✐✥✭✿✼✥✟✯s✤✦❑✗★➩✰✱✤
✷✦✸✻✸✡✫✭✰✱✤✦✮◗★❖✰✬★✡✥✕✷❳✿✼✺❁■✼✮✬✰✱✫✭✿❀✷✦★✡✥✕✰✬✤
①
✿❆✮◗✿❆✰✬✸❱✮✝★✗❞✌✿✼▲✡❊✱✫✟★⑧❘◗◆ê❘✬◆➳◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳❘ ③
❞✌✿❀▲✡❊✱✫✭★➺❘✝◆ý❚t❶ ❦ ✤✦✪✬✫✭✤✦✥✟✤✦✮✝✯●★✻❍✦❈✻✸✂✤✦✥✭➌♥❊✬✤❳❑❱➔✻✯✭✿❆✷❳★➺✰✝✸➜✷✦★❉❑✉✪✱✸➜✰✱✤t✰✱✤✦✥✭✺❀✸✡✷❳★❖❑✗✤✦✮◗✯✭✸✡✥❱✰✱★➶✯●✫✭✿✼✮✝✷✦★
✷✦✸✻❑②✷✦✸❉❑❱✪✬✫✭✿❀❑❱✤✦✮✝✯✭✸ ❲ ✤
δ
+
❳
◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳❘✻õ
❞✌✿❀▲✡❊✱✫✭★✏❘✬◆
⑥
❶➟✴✾✺✼✤✦❑✗✤✦✮◗✯✭✸❖✥t✤➜✮✱➯✡✥t✤✦✮♥❅✝✸✡✺❀❅✝✿❆✰◗✸❖✥t✮✬✸➸❑❱❂❳✯✭✸✡✰✱✸➂✰✝✸ ① ✤✦✷✦▼✝★✻❑❱✤✦✮◗✯✭✸✏✰✱✤➶✯●✫✭✿✼✮✝✷✦★
❑✉✸❖✰◗✿①✿✼✷❳★✡✰✝✸✜◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳❘
④
❞✌✿❀▲✡❊✱✫✭★❱❘✬◆✩✍ ❶
❥
✤❳✸✡❑✗✤❳✯●✫✭✿❀★❱✤✇❅✝✿❆✮◗✷✦❊✱✺❀★❖❍❳❈✡✸❱✰✝✸✉❑✗✸❖✰✬✤❳✺❆✸r◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳❘✡❚
❞✌✿❀▲✡❊✱✫✭★➡❘✬◆êö➆❶✐❢✶★✡✥✟✸✡✥➈✰✬✤➆✷✦★❖✫✧✫✭✤❳▲❉★✡❑✗✤❳✮✝✯●✸➡✤➆✥✭✸✡✺✼❊✝❍✦❺✻✤✦✥➈✰✱✤➆✫✧✤ ①✤✦✫✭➙✦✮✱✷❳✿❀★➼✪✬★✡✫✭★ ① ★✻✯●✸✡✫✭✤✦✥➇✰✱✤
✿✼✮◗✯●✤✦✮✱✥✭✿✼✰✝★✡✰✬✤❜✰✱✤✇✯✭✤✦✮✱✥✭❈✻✸✬◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳❘ ⑥
❞✌✿❀▲✡❊✱✫✭★❱❘✬◆
③
❙❜❶➐✴✶✥✭➌♥❊✱✤❳❑✗★❱✰✬✤❜✰✬✿❁❅✝✿✼✥✟❈✡✸✗✰✱★✡✥☎★✡✫✭✤✦✥✟✯✭★✡✥✕✰✬✤
③❩❨
õ❱✰✝★❱▲✻✤✦✸❉❑✉✤❳✯●✫✟✿✼★❸◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳❘✎✍
❞✌✿❀▲✡❊✱✫✭★❱❘✬◆③❖③ ❶❭❬➍★❉✺✼▼✝★✡✥☎❑❱★✡✪✝✤✦★✡✰✝★✡✥♣❬ ③ ★⑧❬tõ✗◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳❘✡ö
❞✌✿❀▲✡❊✱✫✭★➍❘◗◆③ ❘✗❶➶❞❷★✻✯✭✸✡✫✭✤✦✥❜✰◗✤✗✿❆✮◗✯●✤✦✮✱✥✧✿❆✰◗★❉✰✬✤❱✰✱✤❸✯●✤✦✮✬✥✟❈✡✸❭✤❳❑➓✫✟✤✦✺❁★✡❍❳❈✡✸➐★✡✸ ① ★✻✯✭✸❖✫✇✯✭★✡❑✗★❖✮✬▼✱✸t✰✝★
✯s✫✭✿✼✮✱✷✦★ ❨ ✯✭★✡❑✗★✡✮✱▼◗✸❱✰✱✸❱✤❳✺✼✤❳❑❱✤✦✮✝✯✭✸➇⑦
δ
❬
❭❩❪ ⑩➳◆ ◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳ë ③
❞✌✿❀▲✡❊✱✫✭★❱❘✬◆
③
ë❧❶❭❬➍★❉✺✼▼✝★✡✥☎✮✱❈✡✸✎✳➵✤✦✥✟✯●✫✧❊✝✯●❊✬✫✭★✡✰✱★✡✥✕❞
③
③ ④
❞✌✿❀▲✡❊✱✫✭★➜❘✱◆
③⑤④
❶➽❢✶★✡❑❱✪◗✸✂✰✬✤➐✯s✤✦✮✱✥✟❺✡✤✦✥❸✰✱✿✼✥✟✯●★✡✮✝✯s✤✦✥✗✰✱★➶✯●✫✟✿✼✮✱✷❳★✂✤✦❑ ❊✬❑ ✪✝★✡✿✼✮✝✤✦✺↕✪✬✺❆★✡✮✬✸➦✤t✤✦❑
❊✬❑❱★❱✷❳★✡✥✭✷❳★❱✪✱✫✧✤✦✥✭✥✭❊✱✫✧✿❆❵❳★✡✰✱★✬◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳ë✡❚
❞✌✿❀▲✡❊✱✫✭★❱❘✬◆
③
❚❧❶ ❦ ✤❳▲✡✿❀❈❉✸❱✪✬✫✭➯⑤➚✬✿❁❑✉★✗✲✗✯●✫✭✿❀✮✱✷✦★❱✰◗✸❱✪✱★✡✿✼✮✝✤✦✺➎✪✝✺✼★✡✮✝✸❱✤❲✰✝✸❱✷✦✿❀✺✼✿❆✮✬✰✱✫✟✸❾◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳ë✡❚
❞✌✿❀▲✡❊✱✫✭★❱❘✬◆
③✻⑥
❶➐✴ ①✤❳✿❁✯✭✸✉✰✱★✗✯●✤✦✮✬✥✟❈❉✸✉✺❆✸✡✮✝▲✡✿❀✯●❊✬✰✝✿✼✮✱★✻✺➎✮✱✸➈ï➋ð✦ñýò✝ó✼ô✡ò❧◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆❳ë✎✍
❇❉❈❋❊✬●✙❍✱■❑❏▼▲❴❫
❞✌✿❀▲✡❊✱✫✭★❱ë✬◆③ ❶➈❢P✿❁✺✼✿✼✮✱✰✬✫✟✸❱✪✱✫✭✤✦✥✧✥✭❊✱✫✭✿✼❵❳★✡✰✝✸❱✷✦✸✡✮✝✯✭✤✦✮✬✰✱✸✗✯s✫✭✿✼✮✝✷❳★❖✥☎✰✱✿✼✥✭✪✬✸✡✥✟✯●★✡✥✕✥✧✿❁❑❱✤❳✯s✫✭✿❁✷❳★✡❑✗✤✦✮✝✯s✤❷◆➳õ ④
❞✌✿❀▲✡❊✱✫✭★❱ë✬◆➹❘❜❶➍❬t✸✡✰✱✤❳✺✼✸✗▲✡✤✹✸✡❑✗❂❳✯●✫✧✿❁✷✦✸❱✤✇✷✦✸❖✮✬✰✝✿✼❍❳❺❖✤✦✥☎✰✱✤❲✷❳✸❖✮◗✯✭✸✡✫✭✮✱✸❝◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆➳õ♥❚
❞✌✿❀▲✡❊✱✫✭★❱ë✬◆➹ë❜❶➍❬t★✡✺✼▼✝★❱✰✱✤❲✤❳✺❆✤❳❑❱✤✦✮◗✯✭✸✡✥ ①✿✼✮✱✿❀✯●✸✡✥☎❊✝✯●✿❀✺✼✿❁❵✦★✡✰✝✸✉✮✱✸✗✤ì➚✬✤✦❑❱✪✝✺❀✸❱✰✬✤❧❅✝★✻✺❆✿✼✰✝★✡❍❳❈✡✸❧◆✼◆✼◆✼◆❆◆➳õ♥❚
❞✌✿❀▲✡❊✱✫✭★✙ë✱◆õ➢❶➇❏❧✤❳✯✭★✡✺✼▼✝✤❸✰✝★✙✷✹✸✡✮
①
✿❆▲✡❊✬✫✟★❉❍✦❈✻✸➐✰✬✤
①
✸❖✫✧❑✗★❖✰✬★⑧✸✡❋✝✯s✿❆✰◗★⑧✷✦✸✻❑ ★⑧★✡✮✝➔✡✺❁✿❀✥✭✤❸✮✱❈✻✸✎✳➤✺✼✿✼✮✝✤✦★✡✫
✪✬★✡✫✭★ ❵✘❛
=
❜
✪✬✥✭✿➎◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆➳õ ⑥
❞✌✿❀▲✡❊✱✫✭★❱ë✬◆
④
❶➈❢✾✸✡❑❱✪◗★❖✫✧★❉❍✦❈✻✸❱✰✝✸✡✥ ① ★❉✯s✸❖✫✟✤✦✥☎✰✱✤➊ï❹ð ñò◗ó✼ô❖ò✜◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆➳õ❝✍
❞✌✿❀▲✡❊✱✫✭★➆ë◗◆❚➍❶➟❢➣✸❖❑✉✪✝★✡✫✟★❖❍❳❈✡✸➺✰✱✸ ①★✻✯✭✸❉✫➊✰✱✤➈✿✼✮◗✯✭✤✦✮✱✥✭✿✼✰✝★✡✰✱✤➇✰✝✤➍✯●✤✦✮✬✥✟❈❖✸❡❞❃❢✶✸✡❋✝✯✭✿✼✰✱✸➺✷✦✸✻❑ ★✡✥
★✡✮✬➔❉✺✼✿✼✥✭✤✦✥☎✺❁✿✼✮✱✤❳★✡✫☎✤❜✮✝❈✡✸✎✳➵✺✼✿✼✮✱✤❳★✡✫✝◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆➳õ♥ö
❞✌✿❀▲✡❊✱✫✭★➧ë✬◆
⑥
❶ ❢✾✸✡❑❱✪✝★✡✫✭★✻❍✦❈✻✸➧✰✝✸✡✥ ① ★✻✯●✸✡✫✟✤✦✥➽✰✱✤✳ï❹ð✦ñýò◗ó❆ô✡ò②✸✡❋✝✯✭✿✼✰✱✸✡✥✏✷✦✸✡✮✬✥✟✿❆✰◗✤✦✫✭★✡✮✱✰✝✸➩✯s✫✭➙✦✥
❅✝★✡✺❀✸✡✫✭✤✦✥✕✰✬✿
①
✤✦✫✭✤✦✮✝✯✭✤✦✥☎✪✱★✡✫✭★✂❣➣◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ④ ❙
❞✌✿❀▲✡❊✱✫✭★✵ë◗◆❤✍ ❶
❥
✤❳✸❖❑✗✤❳✯s✫✭✿❁★ ✤ ✷❳✸✡✮✱✰✬✿❁❍✦❺✻✤✦✥➡✰✱✤❽✷✹✸✡✮◗✯✭✸❖✫✧✮✱✸➧✰✬✸➧❑✗✸✡✰✱✤✦✺❀✸✵✰✝✤ ✷✦★❖✥✧✷✹★✳✥✭✤❳❑
✫✧✤ ①✸❖✫✧❍✹★✡✰✬✸❖✫✟✤✦✥✔◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ④◗③
❞✌✿❀▲✡❊✱✫✭★❱ë✬◆➹ö❜❶➍❬t★✡✺✼▼✝★❱✰✱✤❲✤❳✺❆✤❳❑❱✤✦✮◗✯✭✸✡✥
①
✿✼✮✱✿❀✯●✸✡✥☎✤❜✪✝✸✡✥✭✿✼❍❳❈✻✸❱✰✱★✗✯s✫✭✿✼✮✝✷✦★❸◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ④◗③
❞✌✿❀▲✡❊✱✫✭★❱ë✬◆③ ❙❜❶✔❢P✸❉❑✉✪✝★✡✫✭★❉❍✦❈✻✸❱✰✬✸
①
★❉✯s✸❖✫❝✰✱✤➊ï❹ðîñýò◗ó✼ô❖òt✪✝★✡✫✭★ ✐
=
❥
❑❱❑②✤ ❦
=
❧
✪✱✥✭✿◗◆❆◆✼◆✼◆✼◆✼◆❆◆ ④ ❘
❞✌✿❀▲✡❊✱✫✭★✏ë✬◆③❉③ ❶➡❞✌★✻✯✭✸❖✫t✰✬✤➾ï➋ð✦ñýò✝ó✼ô❉ò➼✤✹❑ ①❊✬✮✱❍✦❈✻✸✏✰✱✤➶❅♥➔✡✫✭✿❁✸✡✥t✷✦✸✻❑❱✪✱✫✭✿❀❑❱✤✦✮◗✯✭✸❉✥t✰✱✤➶✯●✫✭✿✼✮✬✷✹★➋q
✪✬★✡✫✭★✗★❱✷❳✸✡✮
①
✿✼▲✡❊✱✫✟★✡❍❳❈❉✸❱✷❳✸✡❑ ✐
=
❥
❑❱❑②✤ ❦
=
❧
✪❹✥✭✿✧◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆ ④ ë
❞✌✿❀▲✡❊✱✫✭★❽ë✝◆
③
❘➾❶◗❞➣★✻✯✭✸✡✫✭✤✦✥➆✰✝✤✐ï➋ð✦ñýò✝ó✼ô❖ò✩✸✡❋✝✯✭✿✼✰✱✸✡✥➆✪✝★✡✫✟★❽✰✱✿①✤✦✫✭✤✦✮✝✯●✤✦✥➆✮◗■❁❅✝✤❳✿✼✥➆✰✝✤➡✪✱✫✧✤✦✥✭✥✭❈✻✸➻✤
✤✦✥✧✪✱✤✦✥✭✥✭❊✬✫✭★✡✥♥◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆
④
õ
❞✌✿❀▲✡❊✱✫✭★❱ë✬◆
③
ë❧❶✔❢P✸❉❑✉✪✝✸✡✮✱✤✦✮✝✯s✤✦✥✕✰✝★✉✤✦✥✟✯●✫✟❊✝✯s❊✱✫✭★❱★✡✮✝★✡✺❀✿✼✥✭★✡✰✝★✌◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆✼◆✼◆✼◆✼◆❆◆
④✡④
❞✌✿❀▲✡❊✱✫✭★❱ë✬◆③ õ❜❶❭❬➍✸✡✰✝✤✦✺❁✸✉✰✱✤❜✤❳✺✼✤❳❑❱✤✦✮✝✯✭✸✡✥
①
✿❆✮✬✿❀✯●✸✡✥✕✰✬★✗✷✦★❖✥✧✷✹★✉✷✹✸✡❑②✫✟✤
①
