Técnicas de seleção de características com aplicações em reconhecimento de faces

✂☎✄✝✆✟✞✠✄☛✡✌☞ ✍✎✂ ✏✑✂✓✒✔✂✖✕✄✘✗✡✚✙ ✍✎✂

✛

✡✌✜✢✡✌✄✤✣✥✂✓✜

✁

✦ ☞✧✣★✞✠✄☛✡✌☞ ✄✩✙✫✪

✬ ✭

✒✮✞✯✄☛✡✰✕✄✱✗✙✲✂☎☞ ✂✳✪

✴

✂✓✄✩✙✵✆✟✶✖✂☎✄✝✞✠✪ ✂✓✆✵✣✥✙ ✍✎✂ ✷✎✡✸✄✹✂☎☞

✺★✻✽✼

✾✮✿✘❀❁✾❃❂✲❄

✼

❅❇❆❉❈❊✾❋❆

✻❍●✸■

❄❑❏✢✾▼▲

◆✮❖◗P❁P❙❘❯❚❲❱❲❳❩❨❬❪❭❳❩❫✥❳✮❴❯❚✔❘❵P❙❘❯❛✠❱❲❳✮◆✯❳

❳✠❫

❖❜❛❝P❞❱✔❖❡❱✯❢✠❱✠❫✢◆✮❘❤❣✐❳❥❱✯❘❪❣✹❦❳✮❱✔❖◗❨❯❳✥❘❤❘❯P❞❱❲❳❥❱❧❦❖◗P❙❱✯❖◗❨❯❳

◆✔❳

❢✠❛✠❖♥♠✮❘❯❚✠P❞❖❜◆✯❳✮◆✮❘♦◆✮❘♦P✔❭❳❩❫♣❴q❳✯❢✠r❇❫

❴q❳❝❚✔❳✢❫❝s❯❱✔❘❪❛❝❨❬❥❭❳❩❫t◆❩❫✢✉❝❚✔❳✯❢t◆✠❘✧❣✐❘❯P❞❱✯❚✯❘

❘❯❣

❨❯❖❙✈❘❪❛❝❨❯❖❡❳★◆✔❳♣❨✔❫❝❣✐❴❯❢✠❱❲❳❝❨❬❥❭❳❩❫

✇

①✝②❇③✮④✘⑤✐③✘⑥⑧⑦❧⑨❶⑩✯③✠⑨❸❷❥②❊④❉❹⑩❻❺④❧⑦❽❼❾⑥⑧❿➁➀③✠⑨❶⑩✠❿➂④✌⑤➃④✫⑥⑧⑦❧➄➆➅➃➇➈❷❪④❉❹⑩❧❺④❻⑦

➉ ②❥❿➊③✠⑨❸❷❪④❧⑤❶⑦❻②☎❼✢➋★②❥⑦❧➌➎➍♣➏✝②✠➍➑➐☛⑦❻➒➓③✯②❇❷❊⑦➆➔❑④❻②❥⑩✠⑦→⑨❶⑤✐③✠➣↔⑥❾③✠➣❥④❻②☛↕→➇❶⑨❶❿➂⑦❻②

➙⑧➛

❺④❧⑦➆➋t④❧➇❶➜➊⑦❶➝➃➞→➟✘⑤✐③✚➄✫④❧❿➂⑦✘⑤✐③✌➞❻➠→➠❶➡

✂☎✄✝✆✟✞✠✄☛✡✌☞✎✍✏✂ ✑✒✂☎✓✠✂✏✔✄✖✕✡✌✗ ✍✏✂ ✘✙✡✖✚✛✡✖✄✢✜✣✂☎✚

✤

☞✥✜✛✞✦✄✧✡✖☞

✄✧✗✩★ ✪✬✫✟✓✦✞✦✄✧✡✭✔✄✮✕✗✯✂✰☞✎✂☎★

✱

✂✰✄☛✗✯✆✟✲✏✂☎✄☛✞✦★ ✂☎✆✳✜✣✗ ✍✏✂ ✴✵✡✖✄✧✂☎☞

✶✛✷✹✸✻✺✼✺✾✽✿✺✠❀✯❁❃❂❅❄❇❆✢❈✠❉❊❆❋❆●✺❍✷●❁■❉❊❏❃❑❃✺✒▲❄✮❆●✺✠❑❃❄◆▼❈❇❖❄❇❉

P

❏◗❄❇❂❘❑◗❄❙❑❃❚❯✷●✷●✺❍❆❋✸✻❄◆▼❈❇❖❄❇❉✯❑❃✺✾❱✿❚❯❑◗❄❇❀✯✺✠❏❲✸✻✺✼❈❍❉❊❆●❆❋❚❅❳❊❚❯❑◗❄

✺✼❄❇❁❨❆●✺✠✷❋✺✠❏❲✸❩❄❬❑◗❄✩❁■❉❊❆✢❭✥✺❫❪❉ P ❂❯❉✯✶❴❀❵❪

❛

❑❨❚❅❉✮❑❃✺❝❜❞❄❇❀✯❁◆❉❇✷✢✺❝❄❬❁❃❆●❉❡❱❬❄❇❑◗❄

❁■✺✠❂❅❄❙❜❢❉❊❀✩❚❯✷●✷❍❖❄❇❉✩❣❇❤❃❂❅❳❲❄❬❑❃❉❊❆✻❄✿✐

❥ ❖❄❇❉✯❦❧❄❇❤❃❂❯❉❃♠♦♥❊♣✖❑❃✺✼❀✩❄❇❚❅❉✌❑❃✺✖♥❬q❊q❨r

s❞❄❇❏❃❈✠❄✩✶❧✽❨❄❇❀✯❚❅❏◗❄❇❑❨❉❊❆✻❄✳t

✉

❦✛❆●❉❬✈✇✐②①✰❆❍✐❴③☛❉❇④◆✺❍❆❋✸✻❉✩⑤⑥❄❬❆●❈✠❉❇❏❃❑❃✺✠✷✝❜❢✺❍✷✻❄❇❆⑦❣❇❤❃❏❃❚❯❉❊❆⑨⑧⑩❉❊❆❋❚❅✺❍❏❶✸✻❄❇❑❃❉❊❆✻❷❴❸❞⑤❵❹☛❜❺❸❼❻✹⑤❵✶✣❸❼❽ ❥ ❦

✉

❦✛❆●❉❬✈✇✐②①✰❆❍✐❺❣❇❤❃❏❃❚❯❉❊❆✢s❞❄❇❆❋❆●✺❍❆✻❄✖❸❢⑤❵❹☛❜❺❸❼❻✹⑤⑥✶❧❸❼❽ ❥ ❦

✉

❦✛❆●❉❬✈✇✐②①✰❆❍✐❺❣❇❉❃❖❄❇❉❙❾☎❉❊❳❊❂❯✺✠❆❢❸②❿

❥

❻➀❸❼❦②➁☎❿❫❻➀❸✇❽

❥

❹⑦❁✧❪❉❊✷❝✺✠✷❋✷●✺✠✷✩♥✗✖✵❀✩✺❍✷●✺❍✷✖❑❃✺✩✸●❆✻❄❇④❃❄❇❂✙✘❃❉⑥❄✛✚❶❤❃❚❺❏❃❉✏❻✹⑤⑥✶❧❸✇❽ ❥ ❦ ♠❝❪✺ ❑❃❚✈✹❪

❛

❈✠❚❯❂✣❈✠❆❋❚❄❇❆⑨❤❃❀✩❄❵❂❯❚❅✷❋✸✻❄

❈✠❉❊❏❲✸✻✺❍❏❃❑❃❉✏✸●❉✿❑◗❄❬✷✮❄❇✷✌❁■✺✠✷❋✷●❉❲❄❬✷✜✚ ❤❨✺✳❀✩✺ ❄❇❁■❉❊❚❄❇❆●❄❇❀ ✺✳❈❍❉❊❏❲✸✻❆●❚❯④❃❤❫❪

❛

❆✻❄❇❀ ❑❃❚❯❆●✺✾✸❩❄⑥✺✩❚❅❏❃❑❃❚❯❆●✺ ❸

✸❩❄❇❀✯✺✠❏❲✸✻✺⑨❁◗❄❇❆●❄✯❉✩❑❃✺✠✷❋✺✠❏❲❱❊❉❇❂❯❱ ❚❅❀✯✺✠❏❲✸✻❉ ❑❃✺✠✷❋✷✻❄ ❑❃❚❯✷●✷❋✺✠❆❋✸✻❄◆▼❈❇❖❄❬❉ ✺⑨❁◗❄❇❆✻❄❙❉ ❀✯✺✠❤ ❈✠❆❋✺✠✷❋❈✠❚❅❀✯✺✠❏❲✸●❉❃✐

❦ ❉❊❆☎❚❯✷●✷●❉✵✺❍❤ ❳❇❉❊✷❋✸✻❄❇❆●❚❅❄✳❑❃✺✮❀✩✺✮❑❨✺✠✷●❈❍❤❃❂❅❁❃❄❇❆☎❁◆❉❇❆✰✸✻❉ ❑❃❉❊✷☎❉❊✷☎❏❃❉❇❀✩✺❍✷✢✚ ❤❨✺✯✺❍❤ ❉❊❀✩❚✸✻❚✥❏❃✺✠✷✹✸✻✺

✺✠✷●❁❃❄◆▼❈✠❉❃✐

❻❼❏❃❚❅❈❍❚❅❉⑨❀✩✺❍❤❃✷❢❄❬❳❊❆✻❄❇❑❨✺✠❈✠❚❯❀✩✺❍❏❲✸✻❉❊✷❴❈✠❚✸❩❄❇❏❨❑❃❉✖❄✤✣◗❤❃❏❃❑◗❄◆▼❈❬❖❄❇❉✌❑❨✺✝❹✝❀✩❁◗❄❬❆●❉✒▲❄✌❦ ✺❍✷✥✚❶❤❃❚❯✷✻❄✖❑❃❉❝✶✛✷✹❸

✸❩❄❇❑❃❉❵❑❃✺ ❥ ❖❄❇❉✏❦ ❄❇❤❃❂❯❉ ⑧✦✣✿❹✰❦❴✶ ❥ ❦❺❷⑨❁■✺✠❂❯❉⑥❄❬❁◆❉❊❚❯❉ P ❏◗❄❇❏❃❈❍✺✠❚❅❆❋❉ ⑧❁❃❆●❉ ❈✠✺❍✷●✷●❉❇✷★✧✗✧✪✩❬q❨r✬✫✪✭✗✭ ❸✮✭✳✺

✧✗✧✪✩✿r ♥✛✖✛✯❲♣ ❸✱✰❲❷✾✐⑨❹⑦❳❊❆●❄❇❑❃✺ ▼❈✠❉❵❄❇❉ ❦❴❆❋❉❇✈✇✐❙③✧❉❊④◆✺❍❆❋✸●❉⑥❜❢✺❍✷✻❄❇❆❍♠✲✚ ❤❨✺✯✈ ✺✴✳✯④❨❆●❉❇✸✻❄❇❆✰❀✯✺✠❤ ❚❅❏❲✸✻✺❍❆●✺✠✷✇❸

✷●✺ ❁■✺✠❂❅❄❵❁■✺✠✷✵✚ ❤❨❚❅✷✻❄❵✺✠❀ ❱ ❚❅✷✠❖❄❬❉⑥❈✠❉❇❀✩❁❃❤✿✸❩❄❇❈❍❚❅❉❊❏◗❄❬❂✛✺✠❀ r✶✧✗✧❲♣✒✺ ✷❋✺✩✸●❉❊❆●❏❃❉❇❤✭❀✩❄❇❚❅✷✷✚❶❤❃✺ ❤❨❀

❉❊❆●❚❯✺✠❏❲✸❩❄❇❑❨❉❊❆✠♠❬❀ ❄❇✷ ❤❃❀ ❄❬❀✩❚❯❳❊❉❃✐❫❭ ❄❇❀✖④②❪✺❍❀ ❑❃✺✾❱❊❉⑨❄❇❳❊❆●❄❇❑❃✺❍❈✠✺✠❆✣❄❇❉❊✷✣❁❃❆❋❉❇✈✺✠✷❋✷●❉❊❆❋✺✠✷❺❜❞❄❇❆❋❂❅❉❊✷✹✸✝❚❸

✸✻❉❊✷✵✘❃❚♦⑤❵❉❊❆❋❚❅❀✯❉❇✸✻❉✝✺☛❣❇❤❃❏❃❚❯❉❊❆✛s❞❄❇❆❋❆●✺❍❆✻❄❨♠❊❁■✺✠❂❯❉❊✷✣❈❍❤❃❆●✷❋❉❊✷❴✺✾✽ ✸✻❆❋✺✠❀✩❄❇❀✩✺❍❏❲✸✻✺✢❆●✺❍❂❅✺✾❱❇❄❬❏❶✸●✺✠✷✛❁◗❄❬❆✻❄✰❉

❑❃✺✠✷❋✺✠❏❲❱❊❉❊❂❱ ❚❅❀✯✺✠❏❲✸✻❉✮❑❃✺❍✷❋✸●✺✰✸✻❆✻❄❬④◗❄❇❂✙✘❨❉✌✺⑦❁■✺✠❂❅❄❇✷❢❑❨❚❅✷●❈❍❤❃✷●✷❍❖❉❊✺✠✷✧❏❃❉❇✷❢✷●✺❍❀✩❚❯❏✧❪❄❇❆❋❚❅❉❊✷❺✺❇♠✿❁❃❆●❚❯❏❃❈✠❚❯❁◗❄❇❂❸

❀✩✺❍❏❶✸●✺❇♠❫❏◗❄✺✚❶❤◗❄❇❂❯❚P ❈✠❄◆▼❈❇❖❄❬❉❃✐✌✶✛❀✎✺✠✷●❁■✺✠❈❍❚❄❇❂♠❫❄❇❳❊❆●❄❇❑❃✺ ▼❈✠❉ ❄❇❉✵❦✛❆●❉❇✈✇✐✻✸✝❚✸✻❉❊✷✵✘❃❚✣❁■❉❊❆⑦✈ ❉❊❆❋❏❃✺✠❈❍✺✠❆

❄❇❂❅❳❊❤❨❀ ❄❇✷❢④◗❄❇✷●✺❍✷✝❑❨✺⑨❚❯❀ ❄❬❳❊✺✠❏❃✷❍✐

❹⑦❳❊❆●❄❇❑❃✺✿▼❈❍❉✖▲❄❞❻❼✷✻❄❇④■✺✠❂❯❂❅✺✛s❢❂❯❉✿❈✼✘✩⑧⑩✶❴❈❍❉❊❂❅✺✾✽⑦❄❬✸●❚❅❉❊❏◗❄❬❂❅✺ ❥ ❤❃❁②❪✺✠❆❋❚❅✺❍❤❃❆●✺✛❑❃✺❍✷ ❭✳❪✺✠❂✾❪✺❍❈✠❉❊❀✯❀✖❤❃❏❨❚❅❈✦❄ ✸✻❚❅❉❇❏❃✷

❸✰❦ ❄❇❆●❚❯✷❩❷ ♠✥❁■✺✠❂❅❄✒❈✠❉❊❂❅❄❇④◆❉❇❆✻❄◆▼❈❬❖❄❇❉✵❏◗❄ ❚❯❀✩❁❨❂❅✺✠❀✯✺✠❏❲✸✻❄◆▼❈❇❖❄❇❉ ❑◗❄ ❁❨❆●❚❅❏❨❈✠❚❅❁❃❄❇❂✣❈✠❉❇❏❶✸●❆●❚❯④❃❤❃❚❋▼❈❬❖❄❇❉✵❑❃✺✠✷✹✸✻✺

✸✻❆✻❄❬④◗❄❇❂✙✘❨❉❃✐❙①✰✺✮❀ ❄❬❏❃✺✠❚❯❆✻❄✒✷●✺❍❀✩✺❍❂✙✘◗❄❇❏❲✸●✺❇♠✥❄❇❳❊❆●❄❇❑❃✺✿▼❈❍❉⑥❄❬❉❵❦ ❄✦❱❊✺✠❂②❦✛❤❃❑❃❚❯❂✛✺✩❄❬❉❵❦✥✺❍✸●❆ ❥ ❉❇❀✩❉❊❂

⑧⑩❹⑦❈✠❄❇❑❃✺❍❀✻✿✏❉❇✈ ❥ ❈✠❚❅✺❍❏❃❈✠✺❍✷✼❉❇✈✛✸❀✘❃✺✯❜❁✳❍✺✠❈✼✘ ③☛✺❍❁❃❤❃④❃❂❯❚❅❈✦❷☛❁■✺✠❂❄❬✷✰❑❃❚❅✷❋❈✠❤❃✷❋✷✠❖❉❊✺❍✷✼✺✖❁◆❉❇❆✝✈❉❊❆❋❏❃✺✠❈❍✺✾❸

❆●✺✠❀ ❉☎❈❫❪❉❊❑❨❚❅❳❊❉⑦✈❉❇❏❶✸●✺✢❑❃❉❊✷✣❀ ✺❍✸●❉✿❑❨❉❊✷✣❑❃✺✢④❃❤❨✷●❈✦❄❃❂◗❤✿✸✻❤◗❄❇❏❲✸●✺✢✺❄❂◗❤❨✸✻❤❃❄❇❏❲✸✻✺✧❄❇❑◗❄❬❁❨✸❩❄❬✸●❚❯❱❬❄⑦❁◗❄❬❆✻❄❪

✷●✺✠❂❯✺✿▼❈❬❖❄❇❉✩❑❨✺⑨❈✠❄❇❆✻❄❬❈❍✸✻✺❍❆✦❪

❛

✷❋✸✻❚❯❈✦❄❇✷❍✐❁❅

✸✏❪❄✭❄❬❂❅❳❊❤❃❀✩❄❇✷✮❁■✺✠✷❋✷●❉❲❄❇✷❆✚❶❤❃✺⑥❚❯❏❃❚❅❈❍❚❄❇❂❯❀✩✺❍❏❲✸✻✺✳❁◗❄❬❆❋✸✻❚❯❈✠❚❯❁◗❄✦❱❇❄❬❀ ❑❃✺❵❀✩✺❍❤ ❑❃❚❅❄ ❸✇❄ ❸❼❑❃❚❅❄❨♠❴❈✠❉❊❀✯❉

❀✩✺❍❀✖④❃❆●❉✼❑❃❉✼❳❊❆❋❤❃❁■❉❝❑❃✺✧❁■✺✠✷✵✚ ❤❨❚❅✷✻❄✼❉❊❤✯❈✠❉❊❀✯❉⑨❄❇❂❅❤❨❏❃❉☎❑❃✺☛❀✩✺❍✷❋✸✻❆●❄❇❑❃❉❃♠✪✚❶❤❃✺☛✷●✺❍❀✩❁❨❆●✺✧❀✩✺✧❄❬❤✿❸

✽❨❚❯❂❅❚❅❄❇❆✻❄❇❀ ✺★✚❶❤❃✺★✘❃❉❈❇❋✺✌✺✠❤❵✸❩❄❇❀✖④②❪✺✠❀ ❈✠❉❊❏❨✷●❚❅❑❨✺✠❆●❉ ❳❊❆✻❄❇❏❨❑❃✺✠✷☎❄❬❀✩❚❯❳❊❉❊✷✠✐☛①✰✺❍❏❶✸●❆●✺❝✺✠❂❅✺❍✷⑦✺❍✷❋✸✦❖❄❬❉❃t

③☛❉❊❳ ✺✠❆●❚❯❉❪ ❥ ✐✍✣◗✺❍❆●❚❅✷❍♠✛❳❊❆✻❄❬❏❃❑❃✺✳❈❍❉❊❀✩❁❃❄❇❏❉✘❃✺❍❚❅❆●❉✟❑❨✺✳❁❃❆●❉❈❇❋✺❍✸✻❉❇✷✯✺ ❑❃✺✒❈✠❉❊❏❨❳❊❆●✺❍✷●✷●❉❇✷✠♠❊✣♦❆●❄❇❏❉❋❶❂❅❚❯❏

❜⑦✐❁✣❧❂❯❉❊❆●✺❍✷✠♠❞❈❍❤●❇❋❉ ❄❇❁■❉❊❚❯❉ ✺❵❄❇✷ ❑❨❚❅✷●❈❍❤❃✷●✷❍❖❉❊✺✠✷✳✈❉❇❆✻❄❇❀ ❀✖❤❨❚❯✸✻❉ ❚❅❀✯❁■❉❊❆❋✸✻❄❇❏❲✸✻✺✠✷❙❏❃❉✭❑❃✺✠❈❍❉❊❆●❆❋✺✠❆

❑❃✺✒✸✻❉ ❑❃❉ ❉ ❁■✺✠❆✠❪

❛

❉ ❑❃❉❃♠ ❥ ✺❍❆●❳❊❚❯❉❪ ③✼✐■❍✼❄❇✷●❁◗❄❬❆✠♠■✚ ❤❨✺ ✷❋✺✠❀✯❁❃❆●✺✵✺❍✷❋✸✻✺✾❱❊✺❵❑❃✺✵❁❃❆●❉❊❏❲✸●❚❅❑❘❖❄❇❉ ❁◗❄❬❆✻❄

❏❃❉❊✷❞❄❬❤✿✽✿❚❅❂❅❚❅❄❇❆✛✺✠❀ ❄❇❂❯❳❊❤❃❀✩❄❇✷✛✸❩❄❇❆❋✺❍✈⑩❄❇✷❺❆●✺❍❂❄❇❈❍❚❅❉❊❏◗❄❬❑◗❄❇✷❺❈✠❉❊❀ ✺✠✷✹✸✻✺⑦✸●❆✻❄❇④❃❄❇❂✙✘❃❉❨♠❨❣❇❉❇❆●❳❊✺⑦s❢❚❯✸❋✸✻✺✠❏ ❸

❈✠❉❊❤❃❆✹✸✦♠◗❁■✺✠❂❯❉❙❄❇❁◆❉❇❚❅❉✌✈❤❃❏❨❑◗❄❇❀✯✺✠❏❲✸❩❄❇❂❫❏❨❉✯❚❯❏❫❪

❛

❈❍❚❅❉✖❑❨❉✯❀✯✺✠❤✵❀✯✺✠✷✹✸✻❆✻❄❬❑❃❉❙✺⑨❁■✺✠❂❅❄✮❄❈❇❋❤❃❑◗❄✮❈❍❉❊❀ ❉

❏✮❑▼▲❖◆◗P❈❘❚❙★❘❱❯❳❲✴❨❄❩❬◆❃❩❬❭❫❪❵❴❈❲✻❑❜❛❬❪◗❝❫❨✵❘❳❘❱❨❡❞❖❘❱◆✬❢❣❭✺❤❥✐❦❢✮◆✴❘❳❨♠❧▼❪✼❩♥❯❳◆✴❴●❪❵❘❱❨❡♦✬P❈♣rq❨ts♥❯❳❨✵P❈s❬❨✉❙✶❨✥❛✇✈①q❨✵❘✮q❨✥❢✮◆✴②❁②❊P❈❴❈❯❚❢t❪❵❩❬❯❱◆◗❴●❛▼③▼④⑤❪◗s❬❯❚❛♥⑥

⑦

◆◗s⑧❩♥❭❈❨✇❢✮◆✴❘❳❘❚❪❵❝✛◆◗s❣❪✼❩♥❯❳◆✴❴♠❩❬❭❫❪✼❩✲❘❱❨✵❪◗❙①❩♥◆❄❩❬❭❈❨✍②✉❪❵❯❱❴✢❢✮◆✴❴✴❩♥s❬❯❱❝❈P✶❩♥❯❳◆✴❴❃◆

⑦

❩♥❭❈❯❚❛⑩⑨✜❶❷♦✶❢❵❶❸✈r❭❈❨✵❛❬❯❱❛✵❶❹❑❖▲❸◆✴P❈❘❚❙①❪◗❘❱❛❬◆❄❘❳❯❱❲◗❨✾❩♥◆❄❩❬❭●❪◗❴❈❲

④⑤❪❀❺◗❨t❘❻④❦P●❙✶❯❱❘❼❪◗❴●❙✢④❉❨✮❩♥s▼♦✬◆◗②❄◆✴❘❦❤❾❽▼❢t❪◗❙❈❨t②■❿➀◆

⑦

♦✶❢t❯❳❨✵❴●❢✮❨✥❛⑧◆

⑦

❩♥❭❈❨❄➁❸➂✵❨✵❢❣❭✢➃⑧❨t♣●P❈❝❈❘❱❯❱❢✥⑥

⑦

◆◗s⑩P●❛✦❨

⑦

P❈❘❉❙✶❯❱❛♥❢✮P❫❛❬❛❬❯❳◆✴❴●❛⑧❪❵❴❫❙

⑦

◆◗s

♣❈s❬◆✼❺✬❯❚❙✶❯❱❴❈➄✇❩♥❭❈❨✹❛❬◆◗P●s♥❢t❨▼❢✮◆✶❙✶❨▼◆

⑦

❩♥❭❈❨✾❛✦❨✥➅✴P●❨t❴●❢t❯❱❪◗❘●➆●◆➇❪✼❩♥❯❳❴❈➄❁❛✦❨✥❪❵s❣❢❣❭♠②❄❨✮❩♥❭❈◆✶❙❈❛r❪❵❴●❙❡◆

⑦

❩♥❭❈❨✹❪✴❙❈❪❵♣❈❩❬❯❱❺◗❨⑩❺✴❨ts❣❛✦❯❱◆◗❴❫❛❹◆

⑦

❩❬❭❈❨✥❛✦❨

✸❩❄❨♠ ❁■✺✠❂❅❄ ❀✩❄❇❏❶❤❨✸✻✺❍❏❧▼❈❇❖❄❬❉⑥❑◗❄✵❆●✺❍❑❃✺❇♠ ✺ ❄✒✸✻❉ ❑❃❉❊✷✼❉❊✷⑨❉❊❤❨✸●❆●❉❊✷✼❈✠❉❇❂❅✺✠❳❊❄❇✷❝❑❨❉⑥❿ ❄❇④■❉❊❆✻❄ ✸♦❪❉❊❆❋❚❅❉✒❑❃✺

❦✛❆●❉ ❈✠✺✠✷❋✷✻❄❇❀✯✺✠❏❲✸●❉✩❑❃✺✼❻❼❀✩❄❇❳❊✺❍❏❃✷✧❁◆✺❍❂❄❙❄❇❀✯❚✙✳✦❄❬❑❃✺✰✺✼❁◆✺❍❂❅❉❊✷✧❄❬❤✿✽ ❪

❛

❂❅❚❯❉❊✷❞❈❍❉❊❀ ❿❫❚❅❏❶❤✿✽✒✺❝❿❳ ❭

✶

✂✖✐

❦ ❉❊❆ ❤❃❂❯✸●❚❅❀✯❉❃♠❫❳❊❉❊✷✹✸❩❄❇❆❋❚❪ ❄✒❑❃✺✩❆●✺✠❳❇❚❅✷❋✸●❆✻❄❇❆✼❀✯✺✠❤❃✷❝✷●❚❯❏❃❈✠✺❍❆●❉❊✷✌❄❇❳❊❆✻❄❬❑❃✺✠❈❍❚❅❀✯✺✠❏❲✸✻❉❊✷✳▲❄ ❀✩❚❯❏❉✘◗❄✵❏◗❄ ❸

❀✩❉❇❆✻❄❇❑◗❄ ❥ ❚❅❂❱❬❄❇❏◗❄ ⑤ ✐☎✄✰❚❯❈✠✺❍❏❶✸●✺❇♠☛❁◆✺❍❂❅❉ ❄❬❁◆❉❊❚❯❉❃♠❞❈✠❄❇❆●❚❯❏❉✘❃❉❃♠✧❈✠❉❇❀✩❁❃❆❋✺✠✺❍❏❃✷✠❖❄❇❉❨♠☛❁❃❄❇❈✠❚✁✺✠❏❃❈❍❚❄✭✺

❁◆✺❍❂❅❉✌✸●✺✠❀✯❁◆❉✻✚ ❤❨✺✰✺✠❂❅❄✌❑❃❚❅✷❋❁◆✺❍❏❃✷●❉❇❤ ❁❃❄❇❆✻❄✌❆❋✺❍❱ ❚❅✷❍❖❄❇❉✮❑❃✺❍✷❋✸✻✺☎✺⑦❑❃✺☎❉❊❤❨✸●❆●❉❊✷❺✸✻✺✾✽ ✸●❉❊✷✉✚❶❤❃✺✰✈ ❉❊❆✻❄❬❀

❁❃❆●❉ ❑❃❤❉✳❍❚❅❑❃❉❇✷✢❏❃❉✩❑❨✺✠❈✠❉❇❆●❆●✺❍❆✧❑❃✺✠✷❋✷●✺⑨❁◆✺❍❆✦❪

❛

➁ ❆●✺✠❈❍❉❊❏❉✘❃✺❍❈✠❚❯❀✩✺❍❏❶✸●❉ ❑❃✺✼✈⑩❄❇❈❍✺✠✷ ✺⑨❤❃❀✩❄❪ ❄❬❆●✺✦❄✯❑❃✺✌❁■✺✠✷✵✚❶❤❃❚❅✷●❄✩❑❃✺❍✷✻❄❪

P

❄❬❑❃❉❊❆✻❄ ✚ ❤❨✺✌❄❇④❨❆●✺✌❁■❉❊❆✇❸

✸❩❄❇✷⑨❁◗❄❇❆●❄⑥❄✵❚❅❀✯❁❃❂❅✺❍❀✩✺❍❏❶✸✻❄◆▼❈❇❖❄❬❉ ❑❨✺✳❄❇❁❃❂❯❚❅❈✠❄◆▼❈❇❖❉❊✺❍✷✼❀✖❤❃❚❯✸●❉✵❁❃❆●❉❊❀✯❚❅✷❋✷●❉❊❆●❄❇✷✠✐✳✶❴❀✌④◆❉❊❆●❄❵❀✖❤❨❚❯✸✻❉❇✷

❄❇❂❅❳❊❉❇❆●❚❯✸●❀✩❉❇✷❧✺ P ❈✠❚❅✺❍❏❲✸✻✺✠✷②✺✝❆❋❉❊④❃❤❃✷✹✸✻❉❊✷r❇❃❪❄☎✸✻✺✠❏ ✘◗❄❇❀ ✷●❚❯❑❃❉⑨❁❃❆●❉❊❁■❉❊✷✹✸✻❉❊✷❍♠❨❄❇❚❯❏❃❑◗❄☎❆●✺❍✷❋✸✻❄❇❀ ❱❢❪❄❇❆●❚❯❉❊✷

❑❃✺✠✷●❄ P ❉❊✷❍✐❝①✰✺❍❏❲✸✻❆●✺✌❉❊✷⑦❁❃❆❋❚❅❏❃❈❍❚❅❁◗❄❬❚❅✷☛❉❊④❃✷❋✸◗❪❄❇❈✠❤❨❂❅❉❊✷☎❄✩✷●✺✠❆❋✺✠❀✎✷●❤❃❁■✺✠❆●❄❇❑❃❉❊✷❍♠❘✺✠✷✹✸♦❪❄✒❄ ❉❊④✿✸✻✺✠❏ ▼❈❇❖❄❇❉

❑❃✺❙❤❃❀ ❄✒❆❋✺✠❁❃❆❋✺✠✷●✺❍❏❲✸❩❄◆▼❈❬❖❄❇❉✏❆●❉❇④❃❤❃✷❋✸✻❄ ✺❙❈❍❉❊❀✩❁❃❄❇❈❍✸✻❄ ❑❃✺✮✈⑩❄❇❈❍✺✠✷✤✚❶❤❃✺❙❁◆❉❊✷❋✷●❚❯④❃❚❅❂❯❚❯✸✻✺✌❑❃❚❅✷✹✸✻❚❅❏❨❳❊❤❃❚❅❆

❉❊✷✧❚❅❏❃❑❃❚❱◆❪

❛

❑❃❤❃❉❇✷❞❆✻❄❇❁❨❚❅❑◗❄❇❀✯✺✠❏❲✸●✺❇✐

✄✰❚❅✷●❄❇❏❃❑❃❉✳❄❇④◆❉❇❆●❑◗❄❇❆✝✺✠✷❋✷●✺✮❁❃❆❋❉❊④❃❂❅✺❍❀ ❄✿♠■✈❉❊❚ ❆●✺✠❄❇❂❅❚❥✳✦❄❇❑❃❉✩❤❃❀ ✺✠✷❋✸●❤❃❑❃❉✒❑❃✺✖✸✿❪✺✠❈❍❏❃❚❅❈✠❄❇✷✰❑❃✺✖❆❋✺✠❈❍❉❬❸

❏❉✘❃✺✠❈❍❚❅❀✯✺✠❏❲✸✻❉✵✺❍✷❋✸❩❄ ✸❡❪

❛

✷✹✸✻❚❯❈✠❉✵❑❃✺❙❁◗❄❇❑❃❆❍❖❉❊✺✠✷❍♠ ❁❃❆●❚❯❏❃❈✠❚❯❁◗❄❇❂❅❀✯✺✠❏❲✸●✺✖❏◗❄ ❄❇❆●✺✠❄✒❑❃✺❙❆●✺✠❑❨❤❧▼❪ ❈❇❖❄❇❉ ❑❃✺❙❑❃❚❸

❀✩✺❍❏❃✷●❚❯❉❊❏◗❄❇❂❯❚❅❑◗❄❇❑❨✺✛❑❃❉❊✷✥❑◗❄❇❑❃❉❊✷❍♠❊❄❇❂✾❪✺✠❀ ❑❃✺❺❤❃❀✩❄☛❆❋✺❍❱ ❚❅✷❍❖❄❇❉⑦❑❨✺②❀ ✺❍✸●❉✿❑❃❉❇✷❪ ❑❃✺❺❆●✺❍❈✠❉❊❏ ✘❃✺✠❈❍❚❅❀✯✺✠❏❲✸✻❉

❑❃✺✩✈⑩❄❇❈❍✺✠✷❍✐ ✣◗❉❊❚❴❁❃❆●❉❊❁■❉❊✷✹✸✻❉ ⑧✺✠❀ ❈✠❉❊❂❅❄❇④■❉❊❆✻❄◆▼❈❬❖❄❇❉⑥❈❍❉❊❀✬❄⑥❁■✺✠✷✥✚❶❤❃❚❯✷✻❄❇❑❨❉❊❆✻❄⑥❻❼✷●❄❇④■✺✠❂❅❂❯✺ s②❂❅❉ ❈✼✘♦❷

❤❃❀ ❀ ✺❍✸●❉✿❑❃❉✒❑❨✺✮✷●✺✠❂❯✺✿▼❈❬❖❄❇❉✵❑❃✺✮❈✦❄❇❆●❄❇❈❍✸●✺✠❆✠❪❪

❛

✷❋✸●❚❅❈✠❄❇✷❃✚❶❤❃✺❙❤❃❏❃✺✮❤❃❀ ❄❇❂❅❳❇❉❊❆●❚✸✻❀✯❉✩❑❃✺✮④❨❤❃✷●❈✠❄ ✺ P ❸

❈✠❚❅✺❍❏❲✸✻✺✩⑧⑩❀ ✺❍✸●❉✿❑❃❉❇✷❞❑❃✺☎④❃❤❃✷❋❈✦❄❙✷●✺✴✚☎✄❤❃✺❍❏❃❈✠❚❅❄❇❂r❂◗❤❨✸●❤◗❄❇❏❲✸✻✺✦❷❞❈✠❉❊❀❪ ❤❃❀ ❄✖❀✯✺✠❑❨❚❅❑◗❄✖❑❃✺✼❑❃❚❯✷❋✸ ❄❇❏❃❈✠❚❅❄

✺✠❏❲✸✻❆❋✺✏❈✠❉❊❏❈❇❋❤❃❏❲✸✻❉❊✷✳❏❨✺✠④❃❤❃❂❯❉❊✷●❉❇✷✟⑧⑩❑❨❚❅✷❋✸ ❄❇❏❃❈❍❚ ❄ ❏❨✺✠④❃❤❃❂❯❉❊✷✻❄ ④◗❄❇✷●✺✠❄❇❑◗❄ ✺❍❀ ✸●❉❊❂❅✺❍❆ ❄❇❏❨❈✠❚ ❄❊❷✾✐ ✶✛✷✹❸

✷✻❄✏❀✯✺✠❑❃❚❯❑◗❄⑥❑❃✺✳❑❨❚❅✷❋✸ ❄❇❏❃❈❍❚❄⑥❁■❉❊✷●✷❋❤❃❚❞❑❃❚❱❊✺❍❆●✷✻❄❬✷✖❱❇❄❬❏❶✸✻❄❇❳❊✺❍❏❃✷✠♠❴✷●✺❍❏❃❑❃❉ ❁■❉❊✷●✷✠❪

❛

❱❊✺❍❂❞❈✠❉❇❏❃✷●❚❯❑❃✺✠❆●❄❇❆

❄❇✷☎❑❃❚❯✈✺❍❆●✺❍❏❶✸●✺✠✷✰✸●❚❅❁❃❚❯❈✦❄❇❂❯❚❅❑◗❄❇❑❨✺✠✷☛❑❃✺✮❈✦❄❇❑❃❄✵❁❃❄❇❑❃❆✠❖❄❬❉✒❑❃❉❊✷✰❈❍❉❊❏●❇❋❤❃❏❲✸✻❉❇✷⑨❑❨✺✮❀✩❉ ❑❃❉✒❄✳❁■✺✠❆❋❀✩❚✸✻❚❅❆

❄❵❉❊④❨✸●✺✠❏❧▼❈❬❖❄❇❉⑥❑❨✺ ④■❉❊❏❃✷⑨❆●✺✠✷❋❤❃❂❯✸✻❄❇❑❃❉❊✷❝❀✩✺❍✷●❀✯❉❵❈❍❉❊❀ ❈✠❉❊❏❈❇❋❤❃❏❲✸✻❉❊✷❝❈✠❉❊❀ ✷❋❉❊④❃❆●✺❍❁◆❉❇✷●❚❋▼❈❬❖❄❇❉❃✐ ➁✰✷

❆●✺✠✷❋❤❃❂❯✸✻❄❇❑❃❉❊✷⑨❁❃❆❋✺✠❂❅❚❯❀✩❚❯❏◗❄❇❆❋✺✠✷✰❈❍❉❊❀ ❑◗❄❇❑❃❉❇✷❝✷❋❚❅❏❲✸✿❪✺✾✸✻❚❅❈❍❉❊✷⑨❀✩❉❊✷✹✸✻❆●❄❇❆✻❄❇❀ ❉❵❈✠❄❇❆◗❪❄❬✸●✺✠❆⑨❁❃❆●❉❇❀✩❚❯✷●✷●❉❇❆

❑❃✺✠✷❋✷✻❄ ❄❬④◆❉❊❆❋❑◗❄❇❳❊✺❍❀❵✐

❜❢❉❊❀ ❉❙❉❊④ ❇❋✺❍✸●❚❯❱❇❉✩❑❃✺✼❱❊✺❍❆●❚P ❈✦❄❇❆☛❄❙✺ P ❈❍❚✁✺❍❏❃❈✠❚❅❄✯❑❃✺✼✸❩❄❬❂ ✸✿❪✺❍❈✠❏❃❚❯❈✦❄❙❈✠❉❊❀ ❑◗❄❬❑❃❉❊✷✧❆●✺✠❄❇❚❅✷❍♠❃✈❉❊❆✻❄❇❀

✺❍✈✺❍✸●❤◗❄❇❑❃❉❇✷❴✸●✺✠✷✹✸✻✺✠✷❺❈✠❉❇❀ ❆●✺❍❈✠❉❊❏ ✘❃✺✠❈❍❚❅❀✯✺✠❏❲✸✻❉⑨❑❃✺✢❁■✺✠✷●✷❋❉❲❄❇✷❺❤❃✷✻❄❬❏❃❑❃❉✼❚❅❀✩❄❇❳❊✺❍❏❃✷✣❑◗❄✼❆●✺❍❳❊❚➀❖❄❇❉⑦❑❃❉❊✷

❉❊❂✙✘❃❉❇✷✠✐✇✽✝✺❍✷●✷❋✺❝❈✠❄❇✷●❉❃♠◗✺❍❀ ✷●✺☎✸●❆✻❄❬✸✻❄❇❏❃❑❃❉❙❑❃✺✼❤❃❀ ❁❨❆●❉❊④❃❂❯✺✠❀✩❄✖❈✠❉❊❀ ❀ ❄❇❚❯✷✢❑❃✺✼❑❃❤◗❄❇✷✧❈❍❂❄❇✷❋✷●✺✠✷❍♠

❏✧❪❉❊✷✧❁❃❆●❉❇❁❃❤❃✷●✺❍❀✩❉❇✷✝❤❃❀✩❄✖❏❃❉❡❱❬❄❙✈ ❤❨❏❧▼❈❇❖❄❇❉✯❈✠❆❋❚❯✸✿❪✺✠❆●❚❯❉✮❚❅❏❃✷❋❁❃❚❅❆●❄❇❑◗❄✮❏◗❄✮❑❃❚❯✷❋✸ ❄❬❏❃❈✠❚❅❄❙✷❋❤❃❁❃❆●❄❇❈✠❚✸❩❄❇❑◗❄✿✐

❹⑦❂✾❪✺❍❀ ❑❃❚❅✷❋✷●❉✖✈ ❉❊❚■❁❃❆●❉❇❁◆❉❊✷✹✸✻❉ ⑧❱❇❋❤❃❏❲✸❩❄❇❀✯✺✠❏❲✸✻✺⑦❈✠❉❊❀✙❉✖✺✠✷✹✸✻❤❃❑❃❄❇❏❲✸✻✺✼❑❃✺✰❀✯✺✠✷✹✸✻❆✻❄❬❑❃❉✮③✧❉❊❳ ✺✠❆❋❚❅❉❪ ❥ ✐

✣♦✺❍❆●❚❯✷❩❷⑨❤❨❀ ✺✠✷✵✚❶❤❃✺✠❀✩❄✟❑❃✺✳❆●✺❍❈✠❉❊❏ ✘❃✺✠❈❍❚❅❀✯✺✠❏❲✸✻❉ ❄✏❁◗❄❇❆✹✸✻❚❯❆✌❑❃✺✳✷❋✺➇✚☎✄❤ ✺✠❏❨❈✠❚ ❄❬✷✮❑❃✺✳❱◆❪

❛

❑❃✺❍❉❃✐ ✶✛✷✹❸

✷●✺ ✺✠✷✵✚ ❤❨✺✠❀✩❄ ❚❯❏❃❈✠❂❯❤❃❚✰❄ ❤❨✸●❚❅❂❯❚✙✳✦❄■▼❈❇❖❄❇❉ ❑❃✺ ❤❃❀ ❀ ✺❍✸●❉✿❑❃❉❪ ✺ P ❈✠❚❯✺✠❏❲✸✻✺ ❑❃✺✟❆●❄❇✷❋✸●❆●✺✠❄❇❀✩✺❍❏❲✸✻❉ ❑❃✺

❈✦❄❇❆●❄❇❈❍✸●✺✠❆✠❪

❛

✷❋✸●❚❅❈✦❄❬✷⑨✈⑩❄❇❈❍❚❄❇❚❯✷✯⑧♥❍✼❄❇④■❉❊❆✝✆ ❄✦❱❊✺❍❂❅✺✾✸✜✽✝✺✾✸✟✞❢❉❇❆✥❋❶✷❩❷❝✺✯❉⑥❀ ✺❍✸●❉✿❑❨❉❵❁❃❆❋❉❊❁■❉❊✷❋✸●❉✏❄❇❏❲✸✻✺❪ ❸

❆●❚❅❉❇❆●❀✯✺✠❏❲✸✻✺✮❁◗❄❬❆✻❄✵✷●✺✠❂❯✺✿▼❈❬❖❄❇❉❵❑❨✺✯❈✠❄❇❆✻❄❬❈❍✸✻✺❍❆✦❪

❛

✷❋✸✻❚❯❈✦❄❇✷❍✐✯①✰✺✠❏❲✸✻❆❋❉❵❑❃✺❍✷●✷❋✺ ❈✠❉❇❏❶✸●✺✾✽ ✸✻❉❨♠ ❉✵✸✻❆●❄❇④◗❄❇❂❥✘❃❉

❑❃✺✠✷❋✺✠❏❲❱❊❉❊❂❱ ❚❅❑❃❉ ❏❃✺✠✷✹✸❩❄✵❑❃❚❅✷❋✷●✺❍❆❋✸❩❄■▼❈❇❖❄❇❉ ❚❅❀✯❁❃❂❅✺❍❀✩✺❍❏❲✸❩❄ ❤❃❀✩❄✒❁◗❄❇❆✹✸✻✺✮❑❃❉❊✷✼❀ ❉❊❑❃❤❃❂❯❉❊✷✰❑❃✺❍✷●✷❋✺✩✺❍✷✹❸❪

✚ ❤❨✺✠❀✩❄❨✐✛①✰✺❍✸✻❄❇❂✙✘❨✺✠✷✣✷❋❉❊④❃❆●✺✢❉❇✷✣✸✻❆✻❄❬④◗❄❇❂✙✘❨❉❊✷✣❈✠❉❇❆●❆●✺❍❂❄❬✸●❉❊✷✣✺✢❉❊❤✿✸✻❆✻❄❬✷✛❚❅❏❨✈❉❊❆❋❀ ❄■▼❈❇❖❉❊✺❍✷❧❁■❉✿❑❃✺❍❀ ✷❋✺✠❆

✣■❄❬❈✠✺✵❆●✺❍❈✠❉❊❳❊❏❨❚❯✸✻❚❯❉❊❏ ❚❅✷❙❄❬❏ ❚❯❏❃✷❋✸●❚❅❳❲❄ ✸✻❚❅❏❨❳✏❆●✺❍✷●✺✦❄❬❆●❈✼✘ P ✺❍❂❅❑ ✸❀✘❃❄❬✸✯❀ ❄✬✿ ❂❯✺✦❄❇❑ ✸●❉ ✸✥✘❃✺ ❑❃✺❍❱❇✺✾❸

❂❅❉❊❁❃❀✯✺✠❏❲✸❢❉❇✈✥❀ ❄❇❏✪✿ ❁❃❆●❉❊❀✯❚❅✷❋❚❅❏❃❳✌❄❇❁❃❁❃❂❯❚❅❈✠❄❬✸✻❚❯❉❊❏❃✷✠✐ ❹⑦❂✸❀✘❃❉❊❤❨❳✗✘✳❀✩❄❇❏✪✿✳✺✂✁✯❈❍❚❅✺✠❏❲✸☛❄❇❏❨❑✒❆●❉❊④❃❤❨✷❋✸

❄❇❂❅❳❊❉❇❆●❚❯✸✥✘❃❀✯✷✹✘◗❄✦❱❊✺✝④◆✺❍✺✠❏✯❑❃✺❍❱❇✺✠❂❯❉❊❁◆✺❍❑ ❚❯❏❙✸✥✘❃❚❅✷❺❄❇❆❋✺✦❄❨♠❲✸✥✘❃✺✠❆❋✺⑦❄❇❆❋✺✧✷❋✸✻❚❯❂❅❂✿❀ ❄❇❏✪✿✮❈✼✘❃❄❇❂❅❂❯✺✠❏❃❳❊✺❍✷✛✸✻❉

④◆✺✖❉❡❱❇✺✠❆●❈❍❉❊❀✯✺❇✐☎❻❼❏✟❁◗❄❇❆✹✸✻❚❯❈✠❤❃❂❅❄❇❆✠♠◆❄ ❆●❉❇④❃❤❃✷❋✸⑨❄❬❏❃❑✏❈✠❉❇❀✩❁◗❄❬❈❍✸✰✈⑩❄❇❈❍✺✌❆❋✺✠❁❃❆❋✺✠✷●✺❍❏❲✸❩❄❬✸●❚❅❉❊❏ ❚❅✷✝✷❋✸●❚❅❂❅❂

✸✻❉✌④■✺✧✈ ❉❊❤❃❏❃❑❘♠ ✞♠✘❃❚❯❈✼✘ ✞②❉❊❤❃❂❅❑ ❄❇❂❅❂❯❉✶✞ ✈ ❉❊❆✇✚❶❤❃❚❯❈✼❋✯❈❍❂❄❇✷❋✷●❚P ❈✦❄❬✸●❚❅❉❊❏❙❉❇✈❘❑❃❚☎✄◆✺✠❆❋✺✠❏❲✸❢❚❯❏❃❑❃❚❱✿❚❯❑❃❤◗❄❇❂❯✷✠✐

❻❼❏ ❉❇❆●❑❃✺❍❆✖✸✻❉ ❄❇❑❃❑❃❆❋✺✠✷❋✷❙✸✥✘❃❚❅✷✮❁❨❆●❉❊④❃❂❯✺✠❀ ♠ ✞❢✺ P ❆❋✷❋✸❙✷✹✸✻❤❃❑❃❚❯✺✠❑ ❁◗❄❬✸❋✸✻✺✠❆❋❏ ❆●✺✠❈❍❉❊❳❊❏❃❚✸✻❚❯❉❊❏✭✸✻✺❍❈✼✘✿❸

❏❃❚✙✚❶❤❃✺❍✷✠♠❢✺❍✷●❁■✺✠❈❍❚❄❇❂❯❂❥✿ ❆❋✺✠❳❲❄❬❆●❑❃❚❯❏❃❳ ❑❃❚❅❀✯✺✠❏❃✷❋❚❅❉❊❏❃❄❇❂❅❚✸✱✿ ❆❋✺✠❑❃❤❨❈❍✸✻❚❯❉❊❏❘♠❴✈❉❊❂❅❂❯❉✶✞❢✺❍❑ ④✪✿ ✸✥✘❃✺✵❀ ❄❇❚❯❏

✈⑩❄❇❈✠✺☎❆❋✺✠❈✠❉❇❳❊❏❃❚❯✸●❚❅❉❊❏✒❀✯✺❍✸✥✘❃❉ ❑❃✷✠✐ ✆ ✺✼❚❅❏❲✸✻❆❋❉✿❑❃❤❨❈✠✺✠❑ ❄✮❏❃✺ ✞ ✈✺✦❄ ✸✻❤❃❆❋✺☎✷●✺✠❂❯✺✠❈✾✸✻❚❅❉❇❏❵❄❬❁❃❁❃❆●❉❊❄❇❈✼✘✵❚❅❏

❈✠❉❊❂❯❂❄❇④■❉❊❆✻❄ ✸✻❚❅❉❇❏ ✞✧❚❯✸❀✘ ✸❀✘❃✺✯❆●✺❍✷●✺✠❄❇❆●❈✼✘❃✺❍❆✮❻❼✷✻❄❇④■✺✠❂❯❂❅✺✯s❢❂❯❉✿❈✼✘ ⑧⑩❭ ❥ ❻➀❸❼✶■✽ ❥ ❭❢❸✇❦ ❄❇❆●❚❯✷❩❷ ♠❧✸❀✘◗❄ ✸✖❄❇✷✇❸

✷●❉ ❈✠❚❄ ✸✻✺✠✷✧❄❬❏ ✺✆✁✯❈✠❚❅✺❍❏❲✸✝✷❋✺✦❄❇❆❋❈✼✘❃❚❅❏❨❳✩❄❬❂❅❳❊❉❊❆❋❚❯✸✥✘❃❀✎⑧⑩✷●✺✴✚❶❤❃✺✠❏❲✸✻❚❅❄❇❂⑧❂◗❉❲❄❬✸●❚❅❏❃❳✌✷●✺✦❄❬❆●❈✼✘⑥❀✯✺❍✸✥✘❃❉ ❑❃✷❩❷ ♠

✞✧❚❯✸❀✘ ❄✳✸✻❉❇❂❅✺✠❆●❄❇❏❃❈❍✺✾❸❼④❃❄❇✷●✺❍❑ ✈❤❉✳✴✳✴✿ ❑❃❚❯✷❋✸✻❄❇❏❃❈✠✺❬✐❙❭✉✘❃❚❅✷☎❑❃❚❯✷❋✸✻❄❇❏❃❈✠✺❙❀✯✺✦❄❇✷❋❤❃❆●✺❙❁❃❆❋✺✠✷❋✺✠❏❲✸✻✷❝✷●❉❊❀✯✺

❏❃❚❅❈❍✺ ✈ ✺✦❄❬✸●❤❃❆●✺❍✷✖✈❉❊❆✖❑❃✺✠❄❇❂❅❚❯❏❃❳ ✞✧❚✸❀✘ ✸✥✘❃✺ ✸✻❚❯❁❃❚❅❈✠❄❇❂❅❚✸✻❚❯✺✠✷✼❉❇✈☛✺✦❄❇❈✼✘ ❁◗❄ ✸●✸✻✺❍❆●❏ ❚❯❏✭✸❀✘❃✺✒✷❋✺❍✸●✷✠♠❺✷●❉

✸❀✘◗❄❬✸❝❳❊❉ ❉✿❑ ❆●✺❍✷●❤❃❂✸✻✷⑨❈✦❄❇❏ ④■✺✳❄ ✸●✸❩❄❬❚❅❏❃✺❍❑ ✺✾❱❊✺✠❏ ✞♠✘❨✺✠❏ ✸❀✘❨✺ ✷●✺✾✸✻✷✮❄❬❆●✺✯❉ ❱❇✺✠❆❋❂ ❄❇❁❃❁❨❚❅❏❃❳❃✐ ❦✛❆●✺ ❸

❂❅❚❅❀✯❚❅❏❃❄❇❆✵✿⑥❆●✺✠✷❋❤❃❂❯✸●✷ ✞✧❚✸❀✘✭✷t✿ ❏❶✸✥✘❃✺❍✸●❚❅❈✳❑❃❄❬✸❩❄ ✘❃❄❡❱❇✺✳❑❃✺❍❀✩❉❊❏❨✷❋✸✻❆●❄❬✸✻✺❍❑✭✸❀✘❃❄❬✸✌✸✥✘❃❚❅✷⑨❀✩✺✾✸❀✘❃❉ ❑✭❚❯✷

✚ ❤❨❚❯✸✻✺✼❁❃❆❋❉❊❀✯❚❅✷●❚❯❏❃❳❃✐

❻❼❏✭❉❊❆❋❑❃✺✠❆✼✸✻❉ ❱❊✺✠❆❋❚❯✈ ✿✟✸✥✘❃✺✩✺✆✁✯❈✠❚❅✺❍❏❃❈✴✿ ❉❇✈❢✸❀✘❃❚❯✷✼✸●✺✠❈✼✘❃❏❨❚✙✚❶❤❃✺ ✞✧❚✸❀✘ ❆●✺✦❄❬❂❺❑❃❄❬✸❩❄❨♠☎✞②✺✳❄❇❁❃❁❨❂❅❚❅✺❍❑

❚❯✸❢✈❉❇❆❞❚❅❀✯❁❃❆●❉❡❱ ❚❅❏❨❳❝✸❀✘❨✺☎❁◆✺❍❆❋✈❉❊❆❋❀ ❄❇❏❨❈✠✺✰❉❇✈✥❄✖❁■✺✠❆❋✷●❉❊❏✵❆❋✺✠❈✠❉❇❳❊❏❃❚❯✸●❚❅❉❊❏ ✷✵✿ ✷❋✸●✺✠❀ ④◗❄❬✷●✺✠❑✵❉❊❏✒✺◗✿❊✺

❚❅❀✩❄❇❳❊✺✠✷❍✐ ❥ ❚❯❏❃❈✠✺✰✸✥✘❃❚❅✷❞❁❨❆●❉❊④❃❂❯✺✠❀✙❚❅❏❲❱❊❉❇❂❯❱❊✺❍✷✧❀✩❉❊❆❋✺⑦✸❀✘❃❄❇❏✳✸✟✞❢❉✯❈✠❂❅❄❇✷●✷❋✺✠✷❍♠☞✞❢✺⑨❄❇❂❯✷●❉✮❑❃✺✾❱❊✺❍❂❅❉❊❁■✺✠❑

❄❵❏❃✺ ✞ ❈✠❆●❚✸✻✺❍❆●❚❅❉❇❏ ✈ ❤❃❏❨❈❍✸✻❚❯❉❊❏ ④◗❄❇✷●✺❍❑ ❉❊❏ ✸❀✘❃✺ ❄❇④◆❉❡❱❇✺✾❸❼❀✯✺✠❏❲✸●❚❅❉❊❏❃✺❍❑✭❑❃❚❯✷❋✸✻❄❇❏❃❈✠✺❬✐ ⑤❵❉❊❆❋✺✠❉❡❱❊✺❍❆✠♠

✞❢✺⑨❁❃❆●❉❇❁◆❉❊✷❋✺✠❑ ⑧✸✻❉❇❳❊✺❍✸✥✘❃✺✠❆ ✞✧❚❯✸✥✘ ③☛❉❊❳ ✺✠❆●❚❯❉❪ ❥ ✐❹✣◗✺✠❆●❚❯✷❩❷❞❄❙✷✵✿ ✷❋✸●✺✠❀ ✈❉❊❆✧❁■✺✠❆●✷❋❉❊❏ ❆●✺✠❈❍❉❊❳❊❏❃❚✸✻❚❯❉❊❏

④◗❄❇✷●✺❍❑ ❉❊❏ ❱ ❚❅❑❃✺❍❉✏✷●✺✴✚ ❤❨✺✠❏❃❈❍✺✠✷✠✐✭❭✉✘❃❚❅✷✖❀✯✺✠❈✼✘❃❄❇❏❃❚❅✷❋❀ ❚❯❏❃❈✠❂❯❤❃❑❃✺❍✷✌✸❀✘❃✺ ❑❃✺❍❱❇✺✠❂❅❉❇❁❃❀✩✺❍❏❲✸✮❉❇✈✝❄❇❏

✺✂✁✯❈✠❚❯✺✠❏❲✸✳❀✯✺❍✸✥✘❃❉✿❑ ✈ ❉❊❆❙✈⑩❄❇❈✠❚❅❄❇❂✢✈ ✺✦❄❬✸●❤❃❆●✺❍✷✩✸✻❆●❄❇❈✼❋❶❚❅❏❃❳❨♠❞❚❅❏ ❄❇❑❃❑❃❚✸✻❚❅❉❇❏ ✸●❉✭❉❊❤❃❆✯❀✯✺❍✸❀✘❨❉✿❑ ✈❉❊❆

✈ ✺✦❄❬✸●❤❃❆●✺✼✷●✺❍❂❅✺❍❈❍✸✻❚❯❉❊❏❘✐❴❻❼❏❵✸✥✘❃❚❅✷✢❈❍❉❊❏❲✸✻✺ ✽✿✸✠♠■✸✥✘❃✺✝✞❢❉❇❆✥❋✒❁❃❆❋✺✠✷●✺❍❏❲✸✻✺✠❑ ✘❃✺✠❆❋✺❝❈❍❉❊❏❃✷❋✸●❚❯✸●❤❨✸✻✺❍✷☛❁❃❄❇❆❋✸☛❉❇✈

✸❀✘❃✺✳❁❨❆●❉❊❁■❉❊✷●✺❍❑ ✷✵✿ ✷❋✸●✺✠❀ ✐ ③☛✺❍❂❄❬✸●✺✠❑ ✞②❉❊❆✥❋✭❄❇❏❃❑ ❉❬✸❀✘❃✺❍❆✖❚❅❏❨✈❉❇❆●❀✩❄❬✸✻❚❯❉❊❏ ❈✠❄❇❏ ④■✺ ✈❉❊❤❃❏❨❑ ❄❬✸

✂ ✄✆☎✞✝✠✟☛✡✌☞✎✍✑✏

✒✔✓✕

✡ ✂

r❊✐r ➁✰④ ❇❋✺✾✸✻❚❯❱❇❉❊✷ ✐⑨✐❝✐⑨✐⑨✐❝✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ✰

r❊✐♥ ❜❢❉❊❏❲✸●❆●❚❅④❨❤❃❚❋▼❈❬❖❉❊✺✠✷ ✐⑨✐⑨✐❝✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ✫

r❊✐❳✰ ➁✰❆●❳❊❄❇❏❃❚✙✳✠❄◆▼❈❇❖❄❬❉✮❑❃❉❙❭ ✺ ✽✿✸●❉ ✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ♣

✖ ✗✙✘✛✚✌✜✣✢✥✤✦✘✛✚✛✧✩★✪✘✎✢✬✫✔✜✮✭✥✘✰✯✲✱✳✭✥✴✶✵✜✣✘✛✷ ✸

✹ ✺✻✡✼☎

✒✾✽❀✿

✝✠✡✼❁❃❂❅❄

✕

❁

✿❆✒ ✡✞❁❃☞

✽❈❇❉✽❀✒ ✡✼☎✶❊

✽❀✒❋✿❍●■✽ ☎✼✝✠✡❏☞

✽▲❑▼✕ ☞✎✟

✓

✡

✽

❁ ✂◆✂

♥✿✐ r ❹✝④◆❉❊❆❋❑◗❄❇❳❊✺❍❀ ✺❍✷❋✸❩❄ ✸❡❪

❛

✷✹✸✻❚❯❈✦❄ ✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ r✶✰

♥✿✐r❊✐r ❦❧❄❇❏❨❉❊❆✻❄❇❀✩❄✮❑❃✺⑨③☛✺❍❈✠❉❊❏ ✘❃✺✠❈❍❚❅❀✯✺✠❏❲✸✻❉✯❑❃✺⑨❦❧❄❇❑❨❆✠❖❉❊✺❍✷ ✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ r✶✰

♥✿✐r❊✐♥ ❻❼❏❲✸✻❆●❉ ❑❃❤❧▼❈❬❖❄❇❉✩❄❇❉✯③☛✺❍❈✠❉❊❏❉✘❨✺✠❈✠❚❯❀✩✺❍❏❲✸✻❉✩✶❴✷✹✸❩❄❬✸✦❪

❛

✷✹✸✻❚❅❈❍❉ ✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ r✶✰

♥✿✐♥ ⑤ ✺✾✸✻❉❪ ❑❃❉❊✷✧❑❃✺❝❜❢❂ ❄❬✷●✷●❚P ❈✦❄■▼❈❇❖❄❇❉ ✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ r ♣

♥✿✐♥✿✐ r ✄✰❚❯✷✠❖❄❇❉ ❍☎✺✠❆✻❄❬❂ ✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ r ♣

♥✿✐♥✿✐♥ ❜❢❂❄❇✷❋✷●❚ P ❈✦❄❇❑❨❉❊❆✧s❞❄✬✿❊✺❍✷●❚❄❬❏❃❉ ✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ r✶✯

♥✿✐♥✿✐❳✰ ③☛✺❍❳❊❆✻❄✮❑❃❉❇✷✝❾ ❱ ❚✙✳✠❚❯❏❉✘❃❉❊✷✧❀✩❄❇❚❅✷❢❁❃❆◗❪❉❬✽✿❚❯❀✩❉❊✷ ✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ r✶✧

♥✿✐♥✿✐✫ ⑤✭❪

❛

❏❨❚❅❀✩❄✖①✰❚❅✷✹✸ ❄❇❏❃❈❍❚❄✮❄❇❉◗⑧⑩✷❩❷❞❦✛❆❋❉❇✸♦❪❉❇✸●❚❅❁■❉♦⑧⑩✷✻❷ ✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ♥✿r

♥✿✐❳✰ ❦✛❆●❉❇④❃❂❅✺❍❀ ❄❇✷✢❑❨✺⑨❳❇✺✠❏❃✺❍❆✻❄❇❂❯❚✙✳✦❄■▼❈❇❖❄❇❉ ✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ♥✛✰

❖

❇❉✽ ☞✎✍✑✏

✒✔✓✕ ✡P☞

✽❘◗❚❙❱❯❅❲✾❳❩❨❬❙❪❭❚❳✬❫◆❴❵❙❪◗❛❫❛◗❜❲

✹✞❝

✰❨✐r ✄⑦❚❅✷✠❖❄❬❉ ❍☎✺✠❆●❄❇❂ ✐❝✐⑨✐⑨✐❝✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ♥✗✖

✰❨✐♥ ✶❧✽ ✸✻❆●❄◆▼❈❇❖❄❇❉✯❑❃✺✼❈✦❄❬❆✻❄❇❈✾✸✻✺✠❆✠❪

❛

✷✹✸✻❚❅❈✠❄❇✷✵✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ♥✛✭

✿❍✿ ✂✁☎✄

✆

❇

✄✞✝

✰✿✐♥✿✐❳✰ ①✰❚❅✷❋❈✠❆❋❚❅❀✯❚❅❏◗❄❇❏❲✸●✺✠✷❞❿❫❚❯❏❃✺✦❄❇❆❋✺✠✷❝⑧ ❿ ①✧❹☎❷ ✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✞✫❃r

✰✿✐❱✰ ❥ ✺✠❂❅✺ ❈❇❖❄❇❉❙❑❃✺❝❜❞❄❇❆●❄❇❈❍✸●✺✠❆✠❪▼

❛

✷❋✸●❚❅❈✠❄❇✷ ✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✞✫❶♣

✰✿✐❱✰❨✐r ❹⑦❂❯❳❊❉❊❆❋❚❯✸✻❀✯❉❊✷②❑❃✺✼✷●✺✠❂❯✺✿▼❈❬❖❄❇❉✵✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✞✫✪✯

✰✿✐❱✰❨✐♥ ⑤ ✺✾✸✻❉❪ ❑❃❉❊✷☛①✰✺❍✸●✺✠❆●❀✯❚❅❏❘❪

❛

✷❋✸●❚❅❈❍❉❊✷❢❈❍❉❊❀

❥

❉❊❂❯❤❧▼❈❇❖❄❬❉

❪

❽☛❏❃❚❅❈✠❄ ✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✞✫✪✭

✰✿✐❱✰❨✐❳✰ ✣◗❤❃❏❧▼❈❬❖❉❊✺✠✷✧❈✠❆❋❚❯✸✿❪✺✠❆●❚❯❉ ✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ♣✛✭

✰✿✐❳✫ ⑤ ✺❍✸✻❉❪ ❑❃❉✯❦✛❆●❉❊❁■❉❊✷✹✸✻❉✯❁◗❄❇❆✻❄ ❥ ✺❍❂❅✺ ❈❇❖❄❇❉❙❑❃✺❝❜❞❄❇❆●❄❇❈❍✸●✺✠❆✠❪▼

❛

✷❋✸●❚❅❈✦❄❬✷ ✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✯❨r

✰✿✐❳✫❃✐r ①✰✺✠✷❋❈✠❆❋❚❋▼❈❇❖❄❬❉✯❑❨❉✩❦✛❆❋❉❊④❃❂❅✺❍❀ ❄ ✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✯❨r

✰✿✐❳✫❃✐♥ ❜❢❉❊❏●❇❋❤❨❏❶✸●❉❊✷❡✽✝✺❍④❃❤❃❂❅❉❇✷●❉❊✷ ✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✯❲♥

✰✿✐❳✫❃✐❳✰ ✟

✠✡✠☛✠✌☞✎✍ ✩★✡✏✩✒✑✂✁

✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✯❲♥

✰✿✐❳✫❃✐✫ ❥ ✺❍❀✩❚❸❼❁❃✷❋✺✠❤❃❑❃❉ ❸❼❀ ✺❍✸✻❆❋❚❅❈✠❄✌④◗❄❇✷❋✺✦❄❇❑◗❄❙✺✠❀❪ ❭ ❉❊❂❯✺✠❆ ❄❇❏❃❈✠❚❅❄ ✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✯✗✰

✰✿✐❳✫❃✐♣ ❹⑦❂❯❳❊❉❊❆❋❚❯✸✻❀✯❉✌✺✼❈❍❉❊❀✩❁❨❂❅✺✾✽✿❚❯❑◗❄❇❑❃✺ ✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✯✗✰

✰✿✐❳✫❃✐❳✯ ❜❢❉❊❏❃✷❋❚❅❑❃✺❍❆✻❄◆▼❈❬❖❉❊✺✠✷ ❥ ❉❇④❃❆●✺✼❉ ❜❢❉❊❀✩❁■❉❊❆✹✸❩❄❇❀✯✺✠❏❲✸✻❉✮❑❃❄❆✣◗❤❃❏ ❈❇❖❄❇❉▼ ❜❢❆●❚✸✿❪✺✠❆❋❚❅❉ ✐❝✐⑨✐❝✐⑨✐ ✯❲♣

✰✿✐❳✫❃✐❱✖ ✶❧✽✿❁◆✺❍❆●❚❅❀✯✺✠❏❲✸●❉❊✷✧❑❃✺ ❥ ✺✠❂❯✺✿▼❈❇❖❄❬❉✯❑❨✺✌❜❞❄❬❆✻❄❇❈✾✸✻✺✠❆✠❪

❛

✷✹✸✻❚❅❈✠❄❇✷✧❈✠❉❊❀ ①☎❄❇❑❃❉❊✷✧❹✝❆❋✸✻❚P ❈✠❚❅❄❇❚❅✷✬✐ ✯✗✭

✰✿✐❳✫❃✐❳✭ ③✧✺✠✷●❤❨❂❯✸❩❄❬❑❃❉❊✷✢❈✠❉❇❀ ❉❊✷☛①☎❄❇❑❃❉❊✷✢❹✝❆❋✸●❚

P

❈❍❚❄❇❚❯✷✮✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✖❇q

✰✿✐❳✫❃✐❳✧ ①✰❚❅✷❋❈✠❤❃✷❋✷✠❖❄❇❉ ✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✖✿r

✖ ✖ ✗✙✘✛✚✌✜ ✢✥✤✦✘✛✚✛✧ ★ ✘✎✢ ✫✔✜ ✭✥✘✔✓✦✱✳✚✌✘✛✷ ✕✗✖

✘

❇ ✽✚✙✌✿

❁

✓✕ ✡ ☞

✽❈❇❉✽❀✒ ✡✼☎✶❊

✽❀✒❋✿❍●❏✽ ☎✞✝ ✡❏☞

✽✜✛✌✕❚✒✾✽

❁ ❝◆❝

✫❨✐❯r ❭ ❄❇❆❋✺❍✈⑩❄❇✷✧❑❃✺✼❻❼❑❃✺❍❏❶✸●❚ P ❈✠❄◆▼❈❇❖❄❬❉✩❑❃✺✤✣♦❄❇❈❍✺✠✷ ✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✖✗✖

✫❨✐♥ ⑤ ✺❍✸✻❉❪ ❑❃❉❊✷✧❑❃✺⑨③✧✺✠❈❍❉❊❏❉✘❃✺❍❈✠❚❅❀✯✺✠❏❲✸●❉✩❑❃✺✤✣♦❄❇❈❍✺✠✷✵✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✖✛✧

✫❨✐❱✰ ❜❢❉❇❏❃✷●❚❯❑❃✺✠❆●❄◆▼❈❇❖❉❊✺❍✷

❥

❉❊④❃❆❋✺⑨❉✩✶✛✷❋✸✻❄❇❑❃❉❬❸ ❑◗❄ ❸❼❹✝❆❋✸●✺ ✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✭❲♣

✢

✄

❄

✽

✝✠✡✌☞✛✡✼❁

❑

✟☛✡✤✣✳✡✞❁ ✝✠✡✼❁

✽▲❇❉✽ ❁ ✍✦✥ ✝

✕

☞✛✡✼❁ ✧✞❝

♣ ✐❯r ❽☛✷●❉❙❑❃✺⑨❆●✺❍❳❊❚➀❖❉❊✺❍✷✢❀✩✺❍❏❃❉❊❆❋✺✠✷✧❑◗❄✮❚❅❀✩❄❇❳❊✺❍❀ ✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✭✗✭

♣ ✐❯r❊✐r ❻❼❏❲✸✻❆❋❉✿❑❃❤ ❈❇❖❄❇❉✯✺⑨⑤❵❉❇✸●❚❯❱❬❄◆▼❈❇❖❄❬❉▼ ✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✭✗✭

♣ ✐❯r❊✐♥ s❞❄❇✷❋✺✼❑❃✺✼❻❼❀ ❄❇❳❇✺✠❏❃✷ ✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✧❊q

♣ ✐❯r❊✐❳✰ ❦✛❆ ✺❪❸❼❁❃❆❋❉✿❈❍✺✠✷●✷●❄❇❀✯✺✠❏❲✸✻❉ ✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✧❊q

♣ ✐❯r❊✐✫ ❭✥✺✠✷❋✸●✺✠✷☛✺⑨③☛✺❍✷●❤❃❂✸❩❄❇❑❃❉❇✷⑥✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✧❲♥

✂✁☎✄

✆

❇

✄✞✝

✿❆✿❍✿

♣✿✐♥✿✐ r ①✰✺✠✷❋❈✠❆●❚✹▼❈❇❖❄❇❉❙❑❃❉✩❦✛❆●❉❊④❨❂❅✺✠❀✩❄ ✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ✧✛✫

♣✿✐♥✿✐♥ ⑤ ✺❍✸●❉✿❑❨❉❊✷✧❑❃✺❪ ❥ ✺✠❂❯✺✿▼❈❇❖❄❬❉✩❹☛❱❇❄❬❂❅❚❄❬❑❃❉❊✷ ✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ✧❲♣

♣✿✐♥✿✐❳✰ ③☛✺❍✷●❤❃❂✸❩❄❇❑❨❉❊✷✼✐❝✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ✧✗✯

♣✿✐❳✰ ✣◗❤❃❏❧▼❈❬❖❄❇❉✩❜❢❆●❚✸✿❪✺✠❆❋❚❅❉❙s❞❄❬✷●✺✦❄❬❑◗❄✯✺❍❀ ①✰❚❅✷✹✸ ❄❇❏❨❈✠❚ ❄✜✽☛✺✠④❃❤❨❂❅❉❊✷●❄✯❁◗❄❬❆✻❄ ✵☎❜❢❂❄❬✷●✷●✺❍✷✌✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ✧✗✭

♣✿✐❳✰❨✐r ✶❧✽❨❁■✺✠❆❋❚❅❀✯✺✠❏❲✸✻❉❇✷☛❑❨✺✠✷●✷●❄ ✣◗❤❃❏❧▼❈❬❖❄❇❉✩❜❢❆●❚✸✿❪✺✠❆❋❚❅❉✮❁◗❄❬❆✻❄ ❥ ✺✠❂❯✺✿▼❈❬❖❄❇❉✩❑❨✺

✶✛❚❅❳❊✺❍❏❃✺✴✿❇✺✠✷ ✐❝✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✢r❡q❊q

♣✿✐❳✰❨✐♥ ③☛✺❍✷●❤❃❂✸❩❄❇❑❨❉❊✷✧❤❨✸✻❚❯❂❅❚✙✳✠❄❇❏❃❑❃❉✌❉❊❤❨✸✻❆●❄❇✷❞✈❤❃❏❧▼❈❬❖❉❊✺✠✷☛❈✠❆❋❚❯✸✿❪✺✠❆●❚❯❉ ✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✢r❊r❡q

♣✿✐❳✰❨✐❳✰ ❥ ❤❃❳❊✺❍✷❋✸✠❖❉❊✺✠✷☛❁◗❄❇❆●❄❙❹✝❁◆✺❍❆❋✈ ✺❍❚❋▼❈✠❉❊❄❇❆✧❄ ✣♦❤❨❏❧▼❈❇❖❄❇❉ ❜❢❆●❚✸✿❪✺❍❆●❚❅❉ ✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✢r❊r ♥

♣✿✐✫ ❥ ❚❯✷❋✸●✺✠❀✩❄✖❁◗❄❇❆✻❄✯③✧✺✠❈✠❉❇❏❉✘❃✺✠❈❍❚❅❀✯✺✠❏❲✸✻❉✯❄❙❁◗❄❇❆✹✸✻❚❅❆❢❑❃✺ ❥ ✺➇✚☎✄❤ ✺✠❏❨❈✠❚❄❬✷☛❑❨✺ ✄✖❪

❛

❑❃✺❍❉ ✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✢r❊r✬✫

♣✿✐✫❃✐r ❻❼❏❲✸✻❆●❉ ❑❃❤❧▼❈❬❖❄❇❉✯✺❝①✰✺❍✷●❈❍❆●❚❋▼❈❬❖❄❇❉❙❑❃❉✩⑤ ✺❍✸●❉✿❑❨❉✖✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✢r❊r✬✫❪

♣✿✐✫❃✐♥ ⑤❵❉❇✸●❚❯❱❬❄◆▼❈❇❖❄❬❉ ✐❝✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✢r❊r ♣

♣✿✐✫❃✐❳✰ ①✰✺❍✸✻❄❇❂✙✘◗❄❬❀✩✺❍❏❶✸●❉ ✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✢r❊r✶✯

♣✿✐✫❃✐✫ ➁✰❤❨✸✻❆●❄❇✷☛❄❇❁❃❂❅❚❯❈✦❄◆▼❈❬❖❉❊✺✠✷ ✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✢r❊r❈✖

♣✿✐✫❃✐♣ ①✰❚❅✷❋❈✠❤❃✷❋✷✠❖❄❇❉ ✐❝✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✢r❊r❈✖

✺✻✡✼☎

✒

✥❆✍✎❁

✓

✡

✽

❁ ✂❀✹✌✂

✆ ✁

✡◆✝

✕

✏

✒ ✓✕

✡

✁

✝

✿

✥

✿✄✂❋✕

☞

✕

✂❀✹◆❖

❇ ✽✆☎ ✽ ✟✞✝

✽

☎

✒❋✿❆✕ ❁❃❂

✿✄✟

✥

✿

✡✡✠◆✟✳❄

✕✞☛ ✒✾✕

❁ ✂❀✹✞❝

❄

✄✆☎✎☞

✿❆✒✾✽▲❇❉✽❀● ✿ ❁ ❁

✿ ✙

✿ ✙ ✂✁☎✄

✆

❇

r❊✐r ✂☎✄✝✆✟✞✡✠☞☛✍✌✏✎✒✑✌✓✄✝✔✖✕✘✗✚✙✛✠✜✞✢☛✣✄✤✔✥✄✧✦✧✠☞☛✍✌✚✙✡✠✩★✝✠☞✕✘✗✫✪✛✬✡✠☞✕✭✔✖☛✮✠☞✪✯✦✧✗✰✙✛✠✩✱✲✌✓✕✘✠☞✄✳✌✵✴✢✌✶★✝✦✝✔✥★✷✙✛✠✩✄✧✠☞✆✹✸✞✻✺✠☞✪✛✕✭✔✥✌✓✄

✙✡✠✽✼✾✑

✿

✙✡✠✭✗✡❀ ✐❝✐⑨✐❝✐⑨✐⑨✐❝✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ✖

♥✿✐ r ❁✏☛❂✄✝✔✥✄✧✦✧✠☞☛✍✌✜❃✓✠☞✪✩✑✠✭★❄✔✥✕✘✗✏✙✡✠❅★✤✠☞✕✘✗✫✪✛✬✡✠☞✕✭✔✥☛✮✠☞✪❆✦✧✗✒✙✡✠❅✴❇✌✓✙✡★☞❈✗✓✠☞✄☎❉❊✎✢✌✓✄✝✠☞✌✓✙✡✗❋✠☞☛❍●■✚✞✛✙✢✌✮✌✓✪✛✙❑❏✵✌✶★✝✦✭▲◆▼☞❖✫P✶◗✶❘

✠❙●❯❚✫✌✓✔✖✪❱✠✭✦✒✌✓❲❳❀❨▲❇❩✶❬✓❬✓❬✶❘❊❭❄❀✭✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ r✬✫

♥✿✐♥ ✂❅❪❫✠☞☛✮✴✢❲❨✗❴✙✡✠✵✴✛★✝✗✓✎✢❲✥✠☞☛✍✌❵✠☞☛❛✆✟✞✡✠✵✗✮✞✛✄✧✗✮✙✡✠✚✞✛☛✍✌❴✙✛✔✥☛✮✠☞✪✢✄✭❈✌✶✗❜✑✠✰☛✮✠☞❲✖✬✡✗✓★✩✆✟✞✡✠✚✗✮✞✛✄✧✗❴✙✡✠✽✙✛✞✛✌✓✄✭❀✼♥❊♣

♥✿✐❳✰ ✂✳✱❊✠☞✔❨✦✧✗✍✙✡✗✮✴✛★✤✗✓✎✢❲❨✠☞☛✍✌✮✙✛✌✮✙✢✔✥☛✮✠☞✪✛✄✝✔✥✗✫✪✛✌✓❲✥✔✥✙✛✌✓✙✛✠✓❀❶✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ♥❊♣

✰❨✐r ■✵✗✫✔✥✄❝✠✘❪❫✠☞☛✮✴✢❲❨✗✫✄❑✙✛✠❜✄✝✔✥✪✛✌✓✔✥✄❝✙✛✠❞✦✝✌✓☛✍✌✓✪✛✬✡✗❢❡✶❬❣❉❊❤

❅

✠❜❤❥✐❦▲✰✌✓✕✭✔✖☛✍✌✯❭❧✠❜✄✝✞✛✌✓✄❑★✝✠☞✄✧✴✾✠☞✕✘✦✝✔❨✼✶✌✓✄

★✝✠☞✕✘✗✫✪✛✄✧✦✧★❄✞✷♠✕✶❈✗✓✠☞✄✒✌✮✴❇✌✶★✝✦✝✔❨★❋✙✡✠❵❩✓❡✮✙✛✠☞✄✝✕✘★✤✔❨✦✧✗✓★✝✠☞✄✒✙✡✠✰♥✡✗✫✞✡★✤✔✥✠✭★♦❉✲✌✶✎✢✌✓✔♣❪❫✗❆❭❄❀❢✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ✰✗✰

✰❨✐♥ q✳★✝✗❫✕✘✠☞✄✝✄✧✗r✙✡✠s✕✘★✤✔✥✌❥♠✕✶❈✌✶✗r✙✡✠s✞✛☛t✴✢✌✓✙✡★✉❈✌✶✗✇✈①✌②✴✢✌✶★✝✦✝✔❨★❱✙✡✠s✞✛☛✍✌②✔✥☛✍✌✶❃✓✠☞☛ ❉✲✌✓✙✛✌✶✴✢✦✝✌✓✙✛✌③✙✡✠

●④❋✗✫☛✍✙✢✬✛✌✓✪✛✔❳▲✻▼☞❖✓❖✓⑤✶❘❊❭❄❀✼✐❝✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ✰✛✫

✰❨✐❳✰ ⑥✜✌✓✄✧✠❵✕✭✌✓✪✹✺✗✫✪✛✔✖✕✭✌✍✙✡✗✮✠☞✄✧✴✢✌❥♠✕✘✗❧✙✡✠✽✱✲✌✓✕✘✠☞✄♦❉✲✌✓✙✛✌✶✴✛✦✝✌✓✙✢✌✍✙✡✠❙●④✒✗✫☛✍✙✛✬✛✌✓✪✛✔⑦▲✾▼☞❖✓❖✓⑤✓❘❊❭❄❀ ✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ✰❲♣

✰❨✐✫ ■✚✌✓✙✡✗✫✄✒✌✶★✝✦✝✔✥⑧✢✕✭✔✥✌✓✔✥✄✜✎✢✔✖✙✛✔✥☛✮✠☞✪✛✄✤✔❨✗✫✪✛✌✓✔✥✄✭❀✏✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ✰✪✖

✰❨✐♣ ■✚✌✓✙✡✗✫✄✚✙✡✠❵✦✧✠☞✄✧✦✧✠❴✕✘✗✫☛⑨✗✫✄✚✌✓✞✡✦✧✗✶⑩⑦✼✓✠✭✦✧✗✓★✝✠☞✄✽✙✛✌❧☛✍✌✶✦✧★✤✔❨❶❷✙✡✠♦✕✘✗❦✼❸✌✶★❄✔❹✺✌✓✪✛✕✭✔✥✌❺✠❷✄✧✠☞✞✢✄✒★✝✠☞✄✝✴❥✠☞✕✘✦✝✔✥✼✓✗✫✄

✌✓✞✡✦✧✗✶⑩⑦✼✶✌✓❲❨✗✓★✝✠☞✄✭❀ ✐❝✐⑨✐⑨✐❝✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ✰✗✭

✰❨✐❳✯ ■✚✌✓✙✡✗✫✄✒✪✡✗✮✠☞✄✝✴✢✌❥♠✕✘✗❺✕✘★✤✔✥✌✓✙✛✗✡❀ ✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐ ✰✗✭

✰❨✐❱✖ ■✚✌✓✙✡✗✫✄✒✌✶★✝✦✝✔✥⑧✢✕✭✔✥✌✓✔✥✄❻✙✡✠✽✦✧✠☞✄✝✦✧✠✓❼❽✙✛✞✛✌✓✄❻✕✭❲✖✌✓✄✝✄✧✠☞✄❋✠☞☛❾✞✛☛❛✠☞✄✧✴✢✌❥♠✕✘✗❺✎✢✔✥✙✛✔✥☛✍✠☞✪✛✄✝✔❨✗✫✪✛✌✓❲⑦❀ ✐❝✐⑨✐⑨✐❝✐⑨✐ ✰✗✧

✰❨✐❳✭ ■✚✌✓✙✡✗✫✄✰✙✡✠✮✦✧✠☞✄✧✦✧✠❙✙✡✠✮✙✛✞✛✌✓✄✽✕✭❲✥✌✓✄✝✄✝✠☞✄✰✕✘✗✫☛❿✗✫✄✰✌✓✞✡✦✧✗✶⑩⑦✼✓✠✭✦✧✗✓★✤✠☞✄♦✙✛✌❱☛✍✌✶✦✧★❄✔❨❶✍✙✡✠✮✕✘✗✉✼✶✌✶★✤✔❹✺✌✓✪✛✕✭✔✖✌❱✠

✄✧✠☞✞✛✄❻★✤✠☞✄✧✴✾✠☞✕✘✦✝✔❨✼✓✗✫✄❋✌✓✞✡✦✧✗✶⑩⑦✼✶✌✓❲❨✗✓★✝✠☞✄✭❀❫✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✞✫❲q

✰❨✐❳✧ ■✚✌✓✙✡✗✫✄✮✪✡✗s✠☞✄✧✴✢✌❥♠✕✘✗❜✕✘★✤✔✖✌✓✙✡✗✡❼❧✪✛✗✓✦✧✠❑✆❆✞✡✠❱✗s✴✛★✤✔✖☛✮✠☞✔❨★✝✗➀✌✓✞✡✦✧✗✶⑩⑦✼✓✠✭✦✧✗✓★❙✪✻❈✌✶✗❞✴✾✗✫✄✝✄✤✞✛✔✳✴✾✗❫✙✡✠✭★✮✙✡✠

✙✛✔✥✄✝✕✘★❄✔✥☛✍✔✥✪✛✌❥♠✕✶❈✌✶✗✡❀ ✐⑨✐⑨✐❝✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✞✫❲q

✰❨✐r❡q➁✂❅❪❫✠☞☛✮✴✢❲❨✗✽✠☞☛➂✆❆✞✡✠✏✌✽★✝✠☞✙✛✞✷♠✕✶❈✌✶✗♦✙✡✠❋✙✛✔✥☛✮✠☞✪✢✄✝✔❨✗✫✪✛✌✓❲✥✔✖✙✛✌✓✙✡✠❽✕✘✗✫☛❍➃◆■❋➄➅✴✛★✤✗✓✴❥✗✓★❄✕✭✔❨✗✫✪✛✌✽☛✮✠☞❲✥✬✛✗✓★✝✠☞✄

★✝✠☞✄✝✞✛❲✥✦✝✌✓✙✡✗✫✄❵✙✡✠❱✕✭❲✥✌✓✄✝✄✤✔❨⑧✢✕✭✌❥♠✕✶❈✌✶✗s✆❆✞✡✠❧q✩➆✜➄♦❀✷❏➇✑✌➀✙✛✞✛✌✓✄❷✕✭❲✥✌✓✄✝✄✧✠☞✄♦✠☞☛➈✞✛☛➉✠☞✄✝✴✢✌❥♠✕✘✗❞✙✡✠❙✕✭✌✶★✤✌✓✕➊⑩

✦✧✠✭★✉✑

✿

✄✧✦✝✔✖✕✭✌✓✄❻✎✢✔✥✙✛✔✖☛✮✠☞✪✛✄✝✔❨✗✫✪✢✌✓❲✹❉✲✌✓✙✛✌✶✴✛✦✝✌✓✙✢✌❺✙✡✠❺●⑥✩✠☞❲✥✬✟✞✛☛✮✠☞✞✡★❻✠✭✦✏✌✓❲❳❀❨▲◆▼☞❖✓❖✫P❦❘❊❭❄❀✼✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✞✫❶♥

✰❨✐r❊r➋✂✳✱❊✠☞✔❨✦✧✗③✙✡✠➀q✜➆✜➄➉✠s➃◆■✒➄➌✪✡✗③✠☞✄✧✴✢✌❥♠✕✘✗r✙✡✠s✕✭✌✶★✤✌✓✕✘✦✧✠✭★✉✑

✿

✙✛✿ ✂✁ ✛ ✁ ❇

✰✿✐❯r ♥✣✂❅❪❫✠☞☛✮✴✢❲❨✗✮✙✡✠✰✙✛✔✖✄✧✦✧★✤✔❨✎✢✞✢✔ ♠✕✶❈✌✶✗❷✆✟✞✡✠✽✴✾✗❫✙✡✠✚✱❊✌✓❲✥✬✢✌✶★✒✕✘✗✫☛❾✞✛☛❛✙✢✔✥✄✝✕✘★✤✔✥☛❺✔✥✪✛✌✓✪❆✦✧✠✵❲✥✔✖✪✡✠☞✌✶★☞❀ ✐❝✐⑨✐❝✐⑨✐✞✫✗✫

✰✿✐❯r✶✰✡✠✹✌❸❪❫✗✫✪✡✗✫☛✍✔✥✌✇✙✡✗✫✄❧☛✇✑✠✭✦✧✗✟✙✡✗✫✄❱✙✡✠➀✄✧✠☞❲❨✠❫♠✕✶❈✌✶✗r✙✡✠➀✕✭✌✶★✤✌✓✕✘✦✧✠✭★✉✑

✿

✄✧✦✝✔✖✕✭✌✓✄✭❀❣➄✵✙✛✌✶✴✛✦✝✌✓✙✛✌②✙✛✌ ⑧✛❃✫✞✡★✤✌ ▼

✕✘✗✫✪✯✦✝✔✥✙✢✌❴✠☞☛ ●❯❚✫✌✓✔✖✪❝✌✓✪✛✙☞☛❥✗✫✪✡❃✓➐✓✠✭★✉▲◆▼☞❖✓❖✫P❸❘⑦❀❨✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✞✫✪✯

✰✿✐❯r✬✫①♥ ❲✖✞❫❪✟✗✓❃✓★❄✌✓☛✍✌❻✄✝✔✥☛✮✴❇❲✥✔❨⑧✢✕✭✌✓✙✡✗✩✙✡✗✒✌✓❲❨❃✓✗✓★❄✔❨✦✝☛✮✗✍✌❫♥✷♥✎✌❥❀☞➄✵✙✛✌✶✴✛✦✝✌✓✙✛✌❋✙✛✠✒●❯❚✫✌✓✔✥✪❝✌✓✪✛✙✏☛❥✗✫✪✡❃✓➐✓✠✭★☞▲◆▼☞❖✓❖✫P✶❘⑦❀⑨♣❇♣

✰✿✐❯r ♣✣✂❅❪❫✠☞☛✮✴✢❲❨✗✫✄❋✙✛✠❵✙✛✔✥✄✧✦✧★❄✔❨✎✢✞✛✔✕✶❈✗✓✠☞✄✜✙✡✠♦✙✛✞✛✌✓✄✒✕✭❲✖✌✓✄✝✄✧✠☞✄❋✠☞☛♠ ✞✛☛ ✠☞✄✝✴✢✌❥♠✕✘✗❙✙✡✠♦✕✭✌✶★✤✌✓✕✘✦✧✠✭★✉✑

✿

✄✧✦✝✔✖✕✭✌✓✄✏✕✘✗✫☛

✙✛✔✥☛✮✠☞✪✛✄☞❈✌✶✗❧❩✟❀♦➆✜✌✓✙✛✌❱✕✓✑

✿

★❄✕✭✞✛❲❨✗❺★✤✠✭✴✛★✝✠☞✄✧✠☞✪❆✦✝✌❱✌❧✕✘✗✫☛✍✴✢✌✓✕✭✔✥✙✛✌✓✙✡✠❴✙✡✠❴✞✛☛✍✌❱✕✭❲✥✌✓✄✝✄✝✠♦✠❴✗✫✄✚✴✾✗✫✪✯✦✧✗✫✄

★✝✠✭✴✛★✝✠☞✄✧✠☞✪❆✦✝✌✓☛❛✴✛★✤✗✓✦✛✑✗✓✦✝✔❨✴✾✗✫✄✭❀✎✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✯✪✖

✰✿✐❯r✶✯➁➄✏☛✮✗✫✄✝✦✧★✤✌✶❃✓✠☞☛❛✙✡✗✫✄✜✙✛✌✓✙✡✗✫✄✜✌✶★✝✦✝✔❨⑧❇✕✭✔✥✌✓✔✥✄✩✞✡✦✝✔✥❲✥✔❨❶☞✌✓✙✛✗✫✄☎✠☞☛❿●➆✜✌✓☛✮✴✾✗✫✄❻✠✭✦✏✌✓❲❳❀❨▲❇❩✶❬✓❬✡▼✘❘ ✪✛✌✓✄✜✕✭✌✶★✤✌✓✕➊⑩

✦✧✠✭★✉✑

✿

✄✧✦✝✔✥✕✭✌✓✄❵▼✚✠♦❩✟❀✌✐❝✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✯✗✧

✰✿✐❯r❈✖✣➄✏☛✮✗✫✄✝✦✧★✤✌✶❃✓✠☞☛❛✙✡✗✫✄✜✙✛✌✓✙✡✗✫✄✜✌✶★✝✦✝✔❨⑧❇✕✭✔✥✌✓✔✥✄✩✞✡✦✝✔✥❲✥✔❨❶☞✌✓✙✛✗✫✄☎✠☞☛❿●➆✜✌✓☛✮✴✾✗✫✄❻✠✭✦✏✌✓❲❳❀❨▲❇❩✶❬✓❬✡▼✘❘ ✪✛✌✓✄✜✕✭✌✶★✤✌✓✕➊⑩

✦✧✠✭★✉✑

✿

✄✧✦✝✔✥✕✭✌✓✄✏◗❷✠✒✑✡❀✌✐❝✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✖❇q

✰✿✐❯r✶✭➁➄✏☛✮✗✫✄✝✦✧★✤✌✶❃✓✠☞☛❛✙✡✗✫✄✜✙✛✌✓✙✡✗✫✄✜✌✶★✝✦✝✔❨⑧❇✕✭✔✥✌✓✔✥✄✩✞✡✦✝✔✥❲✥✔❨❶☞✌✓✙✛✗✫✄☎✠☞☛❿●➆✜✌✓☛✮✴✾✗✫✄❻✠✭✦✏✌✓❲❳❀❨▲❇❩✶❬✓❬✡▼✘❘ ✪✛✌✓✄✜✕✭✌✶★✤✌✓✕➊⑩

✦✧✠✭★✉✑

✿

✄✧✦✝✔✥✕✭✌✓✄✏◗❷✠✒✑✡❀✌✐❝✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✖✿r

✰✿✐❯r✶✧ ➆❱✑✌✓❲✥✕✭✞✛❲❨✗❴✙✛✌✮✙✛✔✥✱✠✭★✝✠☞✪❅♠✕✭✌✮❲❨✗✟✕✭✌✓❲✳❉❊✠☞✆✟✞✛✌❥♠✕✶❈✌✶✗❱◗✟❀◗✓⑤✫❭✜✠☞☛ ✞✛☛ ✴❇✌✓✙✡★☞❈✌✶✗✍✙✛✌✮✕✭❲✥✌✓✄✤✄✧✠✔✓✖✕ ✪✛✌✓✄❋✕✭✌✶★✤✌✓✕➊⑩

✦✧✠✭★✉✑

✿

✄✧✦✝✔✥✕✭✌✓✄✏❡❷✠♦⑤✟❀✌✐❝✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✖✛✰

✰✿✐♥❇q➁④❋✠✭❃✫✔❳❈✌✶✗❺✙✛✠✰✄✧✗✓✎✛★✝✠✭✴✾✗✫✄✝✔ ♠✕✶❈✌✶✗✮✠☞✪❆✦✧★✝✠❵✌✓✄✏✙✛✞✛✌✓✄❻✕✭❲✥✌✓✄✤✄✧✠☞✄✒✪✛✌✓✄✒✕✭✌✶★✤✌✓✕✘✦✧✠✭★✉✑

✿

✄✧✦✝✔✖✕✭✌✓✄❵▼✽✠♦❩✟❀❞✐⑨✐❝✐⑨✐❝✐⑨✐ ✖❫✫

✫❨✐❯r ✗ ☛✍✌✶❃✓✠☞✪✢✄❷✙✛✠❙✦✧★☞✺✠☞✄❴✱✲✌✓✕✘✠☞✄✮✙✛✔❨✱❊✠✭★✝✠☞✪❆✦✧✠☞✄♦☛✮✗✫✄✝✦✧★✤✌✓✙✛✌✓✄❴✠☞☛➈✞✛☛ ✠☞✄✧✴✢✌❥♠✕✘✗❞✙✡✠❧✱❊✌✓✕✘✠☞✄✮✬✛✔✥✴❥✗✓✦✟✑✠✭✦✝✔✥✕✘✗✡❀

✌❥❈✌✶✗✮☛✮✗✫✄✧✦✧★✤✌✓✙✡✗✫✄❋✎❥✗✫✪✢✄❽✠✘❪❫✠☞☛✮✴✢❲✥✗✫✄❻✙✡✠✚✱★✝✗✫✪❆✦✧✠☞✔❨★✤✌✓✄❻✙✛✠✚✙✛✠☞✕✭✔✥✄✭❈✌✶✗❴✴✢✌✶★✤✌❴✕✭✌✓✙✛✌❴✦✝✌✶★✝✠✭✱✲✌✍✙✡✠✽✔✥✙✛✠☞✪❫⑩

✦✝✔❨⑧✢✕✭✌❥♠✕✶❈✌✶✗❺✙✡✠✽✱✲✌✓✕✘✠☞✄❴❉❊✎✢✌✓✄✧✠☞✌✓✙✛✌✓✄✒✠☞☛➌●❯➎ ✕✭➏✰✠☞✪✛✪✛✌✮✠✭✦✒✌✓❲⑦❀❨▲◆▼☞❖✓❖✫P❦❘❊❭❄❀✝✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✖✛✭

✫❨✐♥ ✂❅❪❫✠☞☛✮✴✢❲❨✗✫✄❻✙✡✠❵✴❥✗✫✪❆✦✧✗✫✄✒✔✖☛✮✴✾✗✓★✝✦✝✌✓✪✯✦✧✠☞✄❋✴✢✌✶★✤✌✮✗✍★✤✠☞✕✘✗✫✪✛✬✡✠☞✕✭✔✥☛✮✠☞✪❆✦✧✗❺✌✮✴❇✌✶★✝✦✝✔❨★✒✙✡✠✰✔✖☛✍✌✶❃✓✠☞✪✛✄✒✙✛✠

✴❥✠✭★✤⑧✢❲❳❀ ✐⑨✐❝✐⑨✐⑨✐❝✐✼✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✭❊q

✫❨✐❱✰ ➄✜✦✧★✤✔❨✎✢✞✡✦✧✗✫✄✒✞✡✦✝✔✥❲✥✔❨❶☞✌✓✙✛✗✫✄✜✴✢✌✶★✤✌✮✠✘❪❫✦✧★✤✌❥♠✕✶❈✌✶✗❱✙✡✠❵✕✭✌✶★✤✌✓✕✘✦✧✠✭★✉✑

✿

✄✧✦✝✔✥✕✭✌✓✄✵❲❨✗✟✕✭✌✓✔✖✄❻✠✙✘✛✚✢✜✤✣✦✥★✧✟✘✛✚✪✩❻✦✧✠☞✄✧✦✝✌✓✙✡✗✫✄

❉✲✌✶✎❥✗✓★❄✙✛✌✶❃✓✠☞☛ ❲❨✗❫✕✭✌✓❲❭❽✎✢✌✓✄✧✠☞✌✓✙✢✌✮✠☞☛ ●⑥✩★✤✞✛✪✛✠☞❲✥❲✥✔❥✌✓✪✛✙❑q ✗✓❃✓❃✫✔❨✗✡▲✹▼☞❖✓❖✓◗✓❘⑦❀ ✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✭❨r

✫❨✐❳✫ ✂☎❲✥✌✓✄✧✦✝✔✖✕✔✫✚★✤✌✶✴✢✬ ➎➇✌✶✦✝✕✤✬✛✔✖✪✡❃✡❀✩✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✭❲♥

✫❨✐♣ ✫✚✌✶✎✾✗✓★✭✬❜✌☞✼✓✠☞❲❨✠✭✦✯✮✏✠✭✦✛✰✩✗✓★✝➐✟✄❷❉❊✗✓✎✛✦✝✔✥✙✛✌❺✙✡✠❺●♥✡✠✭★✤✔✥✄☞▲❇❩✶❬✓❬✡▼✘❘❊❭❄❀✥✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✭✗✰

✫❨✐❱✯ ✱✲✧✴✳✶✵✷✚✹✸✺✜✻✧✼✵✶✚✩❉✲✌✯❭✻✠✜✄✝✞✛✌❋★✝✠☞✕✘✗✫✪✛✄✧✦✧★✤✞❅♠✕✶❈✌✶✗✏✦✧★✤✔✖✙✛✔✥☛✮✠☞✪✛✄✤✔❨✗✫✪✛✌✓❲✡❉❊✎❥❭✳❉✲✙✛✠✵●➆✜✬✡✠☞❲✖❲✥✌✶✴✛✴✢✌❷✠✭✦✒✌✓❲❳❀❨▲✹▼☞❖✓❖✓❡❸❘❊❭❄❀✤✭✛✫

♣ ✐❯r ④❋✠☞✕✘✗✫✪✛✬✡✠☞✕✭✔✖☛✮✠☞✪✯✦✧✗s✴✾✗✓★❷★✝✠✭❃✫✔❳❈✗✓✠☞✄✮✕✭✌✶★✤✌✓✕✘✦✧✠✭★✉✑

✿

✄✧✦✝✔✥✕✭✌✓✄✭❼❞❉✲✌✯❭♦✔✥☛✍✌✶❃✓✠☞✪✛✄❴✙✡✠❱✦✧✠☞✄✧✦✧✠✟✽✽❉❊✎❥❭❵★✝✠☞✄✝✞✛❲✥✦✝✌❸⑩

✙✡✗✫✄✰✙✡✠❧✕✭❲✥✌✓✄✝✄✝✔❨⑧❇✕✭✌❥♠✕✶❈✌✶✗ ✔✥✪✛✕✘✗✓★✝★✤✠✭✦✝✌ ✙✡✠✭✼❫✔✥✙✡✗❑✌✶✗➀✞✛✄✧✗ ✙✛✌ ✔✥☛✍✌✶❃✓✠☞☛➌✙✛✠✍✦✧✗✟✙✢✌❑✌❑✱✲✌✓✕✘✠✟✽✒❉✲✕✉❭✚★✝✠✘⑩

✄✝✞✛❲❨✦✝✌✓✙✡✗s✙✡✠❝✕✭❲✥✌✓✄✝✄✤✔❨⑧✢✕✭✌❥♠✕✶❈✌✶✗❜✕✘✗✓★✝★✝✠✭✦✝✌ ✙✡✠✭✼✟✔✖✙✡✗➀✌✶✗❜✞✢✄✧✗❞✙✡✠❑☛ ✗✫✙✛✞✛❲✥✗✫✄❱❉❊⑧✢❃✫✞✡★✤✌➀✎✢✌✓✄✧✠☞✌✓✙✛✌s✠☞☛✑

●❯➎❑✗✓❃✫✬✛✌✓✙✢✙✛✌✓☛❾✌✓✪✛✙❝q ✠☞✪❆✦✝❲✥✌✓✪✛✙✻▲✹▼☞❖✓❖✾✑✫❘❊❭❄❀ ✐⑨✐✼✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✭✗✧

♣ ✐♥ ✂❅❪❫✠☞☛✮✴✢❲❨✗✮✙✡✠✰✔✥☛❺✌✶❃✓✠☞✪✛✄❋✙✡✠❵✞✢☛❛✔✥✪✛✙✛✔❨✼✾✑

✿

✙✛✞✛✗♦✙✛✌❴✎✢✌✓✄✝✠✰✞✡✦✝✔✥❲✥✔❨❶☞✌✓✙✢✌❫❀❞✐❝✐⑨✐✼✐❝✐⑨✐❝✐⑨✐⑨✐❝✐⑨✐❝✐⑨✐ ✧❊q