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Communication Facilities for Distributed Systems

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✻✽✼✿✾❀✾❂❁✚❃✚❄❆❅✧❇❉❈✤❄❆✼❊❃●❋❍❇■❅❏❄☞❑☞❄▲❈✤❄❆▼❏◆P❖✬✼✿◗P❘P❄☞◆✡❈✲◗✡❄☞❙✚❁❚❈✲▼✸❯

❱✏❲❳◆✡❈✲▼✸✾❨◆

❩❭❬❪❴❫❛❵❝❜❞❫❛❡✲❢✭❫❛❣✗❤

✐❚❥✲❦✜❧✜♠✍♥☎♦✖❧

♣rq☎srt✛s❝✉✇✈①✬②✿③✖④☎⑤☎q✭⑥✛✉✇✈⑧⑦✜⑨✖⑩❶②☎s❆❷❹❸✸③✬❺▲❻✛✉✟⑨✖②❼t✿⑦❆③✬❽❴❽❿❾☎②☎✈⑧⑦✜⑨✍❷▲✈③✬②✿⑤☎❺▲③✖❷▲③✛⑦❆③✬⑩⑧✉

✈②➁➀➂✈⑧✉❹❷▲❺▲✈➃☎❾✛❷▲s❝t➁➄✭⑥✛✉❹❷▲s✜❽➅✉✂⑦✜⑨✖②➆q❼⑨✘➇✬s✿⑨❳t✛✈❺▲s❝⑦☞❷✂✈❽❴⑤❼⑨✬⑦☞❷✂③✬②➆✉✇⑥✛✉❹❷▲s✜❽➈s❆➉❴➊

⑦❆✈s✜②❼⑦❆⑥❚⑨✖②❼t❚❺▲s✜⑩✈⑧⑨✖➃☎✈⑩✈❷❹⑥✬➋✲♣rq☎✈⑧✉r⑤❼⑨✖⑤❛s✜❺❏❷▲❺▲✈s❝✉❏❷▲③✏✈⑧t✛s✜②❶❷▲✈④✪⑥❚s❆➉❚⑦❆✈s✜②❶❷r❽❴s❝⑦✵q✛➊

⑨✖②☎✈⑧✉✇❽➅✉➌⑨✖②❼t❿⑤❼⑨✖❺✵⑨✬t✛✈①✬❽➅✉✟④✪③✬❺➍⑦❆③✬❽❴❽❿❾☎②☎✈⑧⑦✜⑨✍❷▲✈③✬②✏✈②➅t✛✈⑧✉❹❷▲❺▲✈➃☎❾✛❷▲s❝t❴✉✇⑥✛✉❹❷▲s✜❽➅✉✜➋

✙☎✞✗✩✡➎☎✓✪✕✡➎✚✥➏✌❆✁☎✄➐✠❆➑✡☛❚☛✖✕✡✁✛✌✜✄✝✁☎✞✗➒❊✢✛✄✝✁☎✞✗✕❼✠✿✁✛✥r✩✗✓✪➒☞✠☞✌✜✓✔➓✟✞✡✠☞☛✖✩➔➒☞→✒➒☞✠☞☛✖✄➣✌❆☛✖➒☞☛✖✢✭✌✜✑✜➑

✑✍✢✭✌❆✌✜✓✔☛✖✩★✁☎✞✡✠✏✁✬✫✛☛✍✌➅✠❆➑✡☛✚✆✟✢✛➒☞✠❴✩✡☛✖✑✍✢✛✩✡☛✛✮➌✓✪✕✡✥➏✁✛✌✜✄➆✢✭✠❆✓✔✁☎✕↔✆✗✌❆✁✒✑✘☛✖➒❆➒❆✓✪✕✡➎➆☛✘↕✒✆✲☛✍✌❆✠❆➒❴➑✗✢✖✫✛☛

✑✘✁☎✄✝☛➙✠☞✁➛✌❆☛✖✑✘✁✛➎☎✕✗✓✔➜✍☛➝✠❆➑✡☛➙✢✛✩✡✫✭✢✛✕❼✠❆✢✭➎✛☛✖➒➞✠❆➑✡☛✖➒☞☛➝➒☞→✒➒☞✠☞☛✖✄➆➒➔✆✲✁☎➒❆➒☞☛✖➒❆➒✍✯➠➟✿➑✡☛✖➒☞☛➡✌❆☛✘➢

➒☞☛✖✢✭✌✜✑✜➑➛✢✛✑✘✠❆✓✔✫✒✓✔✠❆✓✔☛✖➒➅➑✗✢✖✫✛☛➔✣✔☛✖✩➙✠☞✁↔✠❆➑✡☛➁✢✖✫✭✢✛✓✪✣✪✢✭➓✟✓✪✣✪✓✔✠✇→↔✁✛✥❊✄✝✁✛✌❆☛✝✠❆➑✗✢✛✕➛➤✭➥↔✕✡☛✍✠✇➦✂✁✛✌❆➧

✢✛✕✗✩✽✩✗✓✪➒☞✠☞✌✜✓✔➓✟✞✡✠☞☛✖✩➨➒☞→✒➒☞✠☞☛✖✄➆➒✍✯➫➩❿✁✬➦✂☛✍✫✛☛✍✌✖✮❚✄✝✁☎➒☞✠➔✁✛✥❳✠❆➑✡☛✖➒☞☛➙➒☞→✒➒☞✠☞☛✖✄➆➒➞✑✍✢✛✕✽✁☎✕✗✣✔→

✆✟✢✭✌❆✠❆✓✪✢✛✣✪✣✔→➔➒❆✞✗✑✍✑✘☛✍☛✖✩➡✓✪✕↔✢✭✠☞✠❆✢✛✓✪✕✗✓✪✕✡➎✝✠❆➑✡☛❳✄➆✢✬➭☞✁✛✌❿➎✛✁☎✢✛✣✪➒❿✁✛✥✧✢➆✩✗✓✪➒☞✠☞✌✜✓✔➓✟✞✡✠☞☛✖✩❭➒☞→✒➒☞✠☞☛✖✄➞✮

➦❿➑✗✓✪✑✜➑➞✓✪✕✗✑✍✣✪✞✗✩✡☛❿✠☞✌✜✢✛✕✗➒☞✆✟✢✭✌❆☛✖✕✗✑✘→✛✮✗➑✗✓✔➎☎➑✡☛✍✌■✆✲☛✍✌❆✥➏✁✛✌✜✄➆✢✛✕✗✑✘☛✛✮✗➑✗✓✔➎☎➑✡☛✍✌■✌❆☛✖✣✪✓✪✢✭➓✟✓✪✣✪✓✔✠✇→✝✢✛✕✗✩

✢✖✫✭✢✛✓✪✣✪✢✭➓✟✓✪✣✪✓✔✠✇→✛✮✟✢✛✕✗✩★➑✗✓✔➎☎➑✡☛✍✌✏➒❆✑✍✢✛✣✪✢✭➓✟✓✪✣✪✓✔✠✇→✛✯✿➯✏✥✧✑✘✁☎✞✡✌✜➒☞☛✛✮✲✢✭✠☞✠❆✢✛✓✪✕✗✓✪✕✡➎➁✢✛✣✪✣➌✠❆➑✡☛✖➒☞☛❳➎✛✁☎✢✛✣✪➒

✓✪✕➞✠❆➑✡☛❴➲✟✌✜➒☞✠✿✢✭✠☞✠☞☛✖✄✝✆✗✠❿✓✪➒✿✓✪✄✝✆✲✁☎➒❆✓✔➓✟✣✔☛✛✯

✁☎✕✡☛✍✠❆➑✡☛✖✣✔☛✖➒❆➒✍✮❿➎✛✌✜✢✛✩✗✞✗✢✛✣✏✓✪✄✝✆✗✌❆✁✬✫✛☛✖✄✝☛✖✕❼✠❆➒➞✢✭✌❆☛➝✆✲✁☎➒❆✓✔➓✟✣✔☛↔➓❛→➨✣✔☛✖✢✭✌✜✕✗✓✪✕✡➎➵✥➏✌❆✁☎✄

☛✘↕✡✓✪➒☞✠❆✓✪✕✡➎➆➒☞→✒➒☞✠☞☛✖✄➆➒✿✢✛✕✗✩➞✠☞✌❆→✒✓✪✕✡➎❍✠☞✁➁✁✬✫✛☛✍✌✜✑✘✁☎✄✝☛❳✠❆➑✡☛✖✓✔✌❿✣✪✓✪✄➆✓✔✠❆✢✭✠❆✓✔✁☎✕✗➒✍✯

➸ ✓✪➒☞✠☞✌✜✓✔➓✟✞✡✠☞☛✖✩✝✠☞✌✜✢✛✕✗➒❆✢✛✑✘✠❆✓✔✁☎✕✒➢❹✆✗✌❆✁✒✑✘☛✖➒❆✓✪✕✡➎✚➒☞→✒➒☞✠☞☛✖✄➆➒■✄✚✞✗➒☞✠✂✄➆✢✛✕✗✢✭➎✛☛➅➒❆✞✗✑✜➑➁✥❞✞✗✕✗✑❝➢

✠❆✓✔✁☎✕✗➒➁✢✛➒➁✑✘✁☎✕✗✑✍✞✡✌❆☛✖✕✗✑✘→✛✮■✌❆☛✖✑✘✁✬✫✛☛✍✌❆→✛✮❿✢✛✕✗✩➺✌❆☛✍✆✟✣✪✓✪✑✍✢✭✠❆✓✔✁☎✕➌✯✽➯❴✕✡☛➞➦■✢✖→➺✠☞✁➛✓✪✄✝✆✗✌❆✁✬✫✛☛

✠❆➑✡☛✖✓✔✌✂☛✘➻➔✑✍✓✔☛✖✕✗✑✘→➆✢✛✕✗✩➁✌❆☛✖✣✪✓✪✢✭➓✟✓✪✣✪✓✔✠✇→❍✓✪➒❉✠☞✁❍✓✪✕✗✑✘✌❆☛✖✢✛➒☞☛✏➒☞✁✛✥➏✠✇➦■✢✭✌❆☛➅✄✝✁✒✩✗✞✗✣✪✢✭✌✜✓✔✠✇→✛✮❼➦❿➑✗✓✪✑✜➑

✄✝☛✖✢✛✕✗➒↔✠❆➑✡☛➼➒☞☛✍✆✟✢✭✌✜✢✭✠☞☛➵✑✘✁☎✄✝✆✲✁☎✕✡☛✖✕❼✠❆➒★➒❆➑✡✁☎✞✗✣✪✩➽☛✘↕✒☛✖✑✍✞✡✠☞☛➛✓✪✕✽➒☞☛✍✆✟✢✭✌✜✢✭✠☞☛➛✢✛✩✗✩✡✌❆☛✖➒❆➒

➒☞✆✟✢✛✑✘☛✖➒✚✠☞✁➡✆✲☛✍✌✜✄➆✓✔✠❚➑✗✢✭✌✜✩✡➦■✢✭✌❆☛✘➢❹☛✖✕✡✥➏✁✛✌✜✑✘☛✖✩➛➒☞☛✍✆✟✢✭✌✜✢✭✠❆✓✔✁☎✕➌✯★➟✿➑✗✓✪➒❚➒☞✠☞✌✜✞✗✑✘✠❆✞✡✌❆☛➆✁✭➾✲☛✍✌✜➒

✢✛✩✡✫✭✢✛✕❼✠❆✢✭➎✛☛✖➒➡➓✟✞✡✠★✩✡☛✖✄➆✢✛✕✗✩✗➒➞☛✘➻➔✑✍✓✔☛✖✕❼✠★✓✪✕❼✠☞☛✍✌❆✆✗✌❆✁✒✑✘☛✖➒❆➒↔✑✍✓✪✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕➚✴➏➪✵➶■✿✷

➒☞☛✍✌❆✫✒✓✪✑✘☛✛✯

➟✿➑✡☛➙☛✘↕✡✓✪➒☞✠❆✓✪✕✡➎➹✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕➘✆✟✢✭✌✜✢✛✩✗✓✔➎☎✄➆➒↔✢✭✌❆☛➵✑✍✣✪✢✛➒❆➒❆✓✔✥➏→✛☛✖✩➴✓✪✕❼✠☞✁➹✠❆➑✡✌❆☛✍☛

➎✛✌❆✁☎✞✡✆✟➒✍➷➙✣✔✁✒✑✍✢✛✣✏✓✪✕❼✠☞☛✍✌❆✆✗✌❆✁✒✑✘☛✖➒❆➒➁✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕➌✮❊✌❆☛✖✄✝✁✛✠☞☛➝✓✪✕❼✠☞☛✍✌❆✆✗✌❆✁✒✑✘☛✖➒❆➒➔✑✘✁☎✄❍➢

✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕❭✢✛✕✗✩➞✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕➔✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣✪➒■✥➏✁✛✌❊➓✲✁✛✠❆➑❭✣✔✁✒✑✍✢✛✣➌✢✛✕✗✩➔➦❿✓✪✩✡☛❴✢✭✌❆☛✖✢

✕✡☛✍✠✇➦✂✁✛✌❆➧✒➒✍✯

(2)

Û Ü↔Ý❚Þ✧ß✿à★á✜â✏ã✲ä❉å➍æ❍å➌Ý❚Þ✧ä❉ç✤ç➈Þ✧Ý✏èéèëê✝â✝á❆Þ✧ß✂ã➌á❆Ý✏â

➟❏✁❴✓✪✄✝✆✗✌❆✁✬✫✛☛✂✣✔✁✒✑✍✢✛✣❛✄➆✢✛✑✜➑✗✓✪✕✡☛➂✆✲☛✍✌❆✥➏✁✛✌✜✄➆✢✛✕✗✑✘☛✛✮✭ì✂☛✍✌✜➒❆➑✗✢✛✩❭í⑧✳❝î✡✓✪✕❼✠☞✌❆✁✒✩✗✞✗✑✘☛✖✩❚✠✇➦✂✁❴✕✡☛✍➦

✄✝☛✖✑✜➑✗✢✛✕✗✓✪➒❆✄➆➒✍➷❉✣✪✓✔➎☎➑❼✠✇➦✂☛✖✓✔➎☎➑❼✠■✌❆☛✖✄✝✁✛✠☞☛❚✆✗✌❆✁✒✑✘☛✖✩✗✞✡✌❆☛❴✑✍✢✛✣✪✣✧✴❞ï❏ð❿➶■✿✷✂✢✛✕✗✩❭✞✗➒☞☛✍✌☞➢✇✣✔☛✍✫✛☛✖✣

✌❆☛✖✄✝✁✛✠☞☛✝✆✗✌❆✁✒✑✘☛✖✩✗✞✡✌❆☛✚✑✍✢✛✣✪✣❊✴❞ñ✏ð❿➶■✿✷✜✯➌ï❏ð❿➶■➘✠❆✢✭➧✛☛✖➒❚✢✛✩✡✫✭✢✛✕❼✠❆✢✭➎✛☛✝✁✛✥➂✠❆➑✡☛❍✑✘✁☎✕❼✠☞✌❆✁☎✣

✠☞✌✜✢✛✕✗➒☞✥➏☛✍✌❚✢✛✕✗✩➙✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✘✠❆✓✔✁☎✕➝✄✝✁✒✩✡☛✖✣✸✁✛✥✂✑✍✢✭✆✟✢✭➓✟✓✪✣✪✓✔✠✇→❭òó➓✟✢✛➒☞☛✖✩➙➒☞→✒➒☞✠☞☛✖✄➆➒➅✢✛✕✗✩

✠❆➑✡☛↔✢✛✩✡✌❆☛✖➒❆➒✵➢✇➒☞✆✟✢✛✑✘☛✘➢❹➓✟✢✛➒☞☛✖✩ô✆✗✌❆✁✛✠☞☛✖✑✘✠❆✓✔✁☎✕➹✄✝✁✒✩✡☛✖✣➂✁✛✥✏✠☞✌✜✢✛✩✗✓✔✠❆✓✔✁☎✕✗✢✛✣➂➪✵➶■➫✥❞✢✛✑✍✓✪✣✪✓✔✠❆✓✔☛✖➒✍✯

ñ✏ð❿➶■➅íõ✬î❹✮➅✢✛✕✡✁✛✠❆➑✡☛✍✌↔✑✘✌❆✁☎➒❆➒✵➢✇✢✛✩✗✩✡✌❆☛✖➒❆➒✵➢✇➒☞✆✟✢✛✑✘☛➙✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕✽✥❞✢✛✑✍✓✪✣✪✓✔✠✇→✛✮❿☛✖✣✪✓✪✄➆✓⑧➢

✕✗✢✭✠☞☛✖➒❿✠❆➑✡☛❳✌❆✁☎✣✔☛❚✁✛✥r✠❆➑✡☛❳➧✛☛✍✌✜✕✡☛✖✣❏✢✛➒❿✢✛✕↔➪✵➶■➘✓✪✕❼✠☞☛✍✌✜✄✝☛✖✩✗✓✪✢✭✌❆→➔➓❛→➞✓✪✕✗✑✍✣✪✞✗✩✗✓✪✕✡➎❍✑✘✁☎✄❍➢

✄✚✞✗✄➆✓✪✑✍✢✭✠❆✓✔✁☎✕➡✢✛✕✗✩↔✠❆➑✡✌❆☛✖✢✛✩➡✄➆✢✛✕✗✢✭➎✛☛✖✄✝☛✖✕❼✠➅✑✘✁✒✩✡☛❍✓✪✕↔☛✖✢✛✑✜➑➝✞✗➒☞☛✍✌❴✢✛✩✗✩✡✌❆☛✖➒❆➒❿➒☞✆✟✢✛✑✘☛✛✯

ñ✏ð❿➶■➘✑✘✁☎✄❳➓✟✓✪✕✡☛✖➒✿✥❞✢✛➒☞✠✏✑✘✌❆✁☎➒❆➒✵➢✇✢✛✩✗✩✡✌❆☛✖➒❆➒❿➒☞✆✟✢✛✑✘☛✚✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕★✞✗➒❆✓✪✕✡➎➆➒❆➑✗✢✭✌❆☛✖✩

✄✝☛✖✄✝✁✛✌❆→➺➦❿✓✔✠❆➑➨✢➛✣✪✓✔➎☎➑❼✠✇➦✂☛✖✓✔➎☎➑❼✠➁✠❆➑✡✌❆☛✖✢✛✩✗➒➁✆✟✢✛✑❆➧✭✢✭➎✛☛➝✠❆➑✗✢✭✠➔✓✪➒➁✄➆✢✛✕✗✢✭➎✛☛✖✩✽✢✭✠➔✠❆➑✡☛

✞✗➒☞☛✍✌■✣✔☛✍✫✛☛✖✣✰✯✧➟✿➑✡☛❿✢✛✞✡✠❆➑✡✁✛✌✜➒✂➒❆✓✔➎☎✕✗✓⑧➲✤✑✍✢✛✕❼✠❆✣✔→✚☛✘↕✒✆✟✢✛✕✗✩➁✞✡✆✲✁☎✕➆✠❆➑✡☛✖✓✔✌➂➦✂✁✛✌❆➧✝✁☎✕➔ï❏ð❿➶■

í✶✬î❹✯➹➪✵✕➺ï❏ð❿➶■✏✮r✠❆➑✡☛➞☛✖✄✝✆✟➑✗✢✛➒❆✓✪➒❍➦■✢✛➒✝✁☎✕➹✓✪✄✝✆✗✌❆✁✬✫✛☛✖✩ô✆✲☛✍✌❆✥➏✁✛✌✜✄➆✢✛✕✗✑✘☛➞✢✛✑✜➑✗✓✔☛✍✫✛☛✖✩

➓❛→❭☛✘↕✒✆✟✣✔✁☎✓✔✠❆✓✪✕✡➎✝✠❆➑✡☛★ö☞✑✘✁☎✄➆✄✝✁☎✕➡✑✍✢✛➒☞☛✖÷➁✁✛✥✧➒❆✢✛✄✝☛✘➢✇✄➆✢✛✑✜➑✗✓✪✕✡☛❳✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕↔✥➏✁✛✌

✢➹✄✚✞✗✣✔✠❆✓✔✆✗✌❆✁✒✑✘☛✖➒❆➒☞✁✛✌❭✁✛✆✲☛✍✌✜✢✭✠❆✓✪✕✡➎➹➒☞→✒➒☞✠☞☛✖✄ø➧✛☛✍✌✜✕✡☛✖✣✰✯➣➪✵✕➘✠❆➑✡☛✖✓✔✌➞✆✗✌❆☛✍✫✒✓✔✁☎✞✗➒➞ï❏ð❿➶■

➦✂✁✛✌❆➧✤✮✲✠❆➑✡☛✚✢✛✞✡✠❆➑✡✁✛✌✜➒✏✢✭✌❆➎☎✞✡☛✖✩★✠❆➑✗✢✭✠❴✓✔✠✏✓✪➒❿✆✲✁☎➒❆➒❆✓✔➓✟✣✔☛❴✠☞✁➔✌❆☛✖✩✗✞✗✑✘☛✚✠❆➑✡☛❳✁✬✫✛☛✍✌✜➑✡☛✖✢✛✩➝✁✛✥

✢➁➧✛☛✍✌✜✕✡☛✖✣⑧➢✇✄✝☛✖✩✗✓✪✢✭✠☞☛✖✩➝✑✘✌❆✁☎➒❆➒✵➢✇✢✛✩✗✩✡✌❆☛✖➒❆➒✏➒☞✆✟✢✛✑✘☛❍✑✍✢✛✣✪✣❏✠☞✁❭✕✡☛✖✢✭✌✜✣✔→➞✠❆➑✡☛❍✣✪✓✪✄➆✓✔✠❊✆✲✁☎➒❆➒❆✓✔➓✟✣✔☛

✁☎✕➨✢➼✑✘✁☎✕❼✫✛☛✖✕❼✠❆✓✔✁☎✕✗✢✛✣✏✢✭✌✜✑✜➑✗✓✔✠☞☛✖✑✘✠❆✞✡✌❆☛✛✯➽➟✿➑✡☛✍→ô✁✛➓✟➒☞☛✍✌❆✫✛☛✖✩➺✠❆➑✗✢✭✠➁✠❆➑✡☛★✄➆✢✬➭☞✁✛✌✜✓✔✠✇→ô✁✛✥

ï❏ð❿➶■✏ù➒❴✁✬✫✛☛✍✌✜➑✡☛✖✢✛✩➙➦■✢✛➒➅✢✭✠☞✠☞✌✜✓✔➓✟✞✡✠☞☛✖✩➝✠☞✁❭✠❆➑✡☛✝✥❞✢✛✑✘✠❴✠❆➑✗✢✭✠➅✠❆➑✡☛❍➧✛☛✍✌✜✕✡☛✖✣✧✄✝☛✖✩✗✓✪✢✭✠☞☛✖➒

☛✍✫✛☛✍✌❆→✝✑✘✌❆✁☎➒❆➒✵➢✇✢✛✩✗✩✡✌❆☛✖➒❆➒❉➒☞✆✟✢✛✑✘☛✿✑✍✢✛✣✪✣✰✯r➪✵✕✝✢✛✕✝☛✘➾✲✁✛✌❆✠✧✠☞✁❳✓✪✄✝✆✗✌❆✁✬✫✛☛❊✆✲☛✍✌❆✥➏✁✛✌✜✄➆✢✛✕✗✑✘☛❊✢✛✕✗✩

✌❆☛✖✩✗✞✗✑✘☛✚✑✘✁☎➒☞✠❆➒✍✮✲✠❆➑✡☛✍→➞☛✘↕✡✢✛✄➆✓✪✕✡☛❳✢➔✕✡☛✍➦ú➒☞→✒➒☞✠☞☛✖✄ë✑✍✢✛✣✪✣✔☛✖✩★ñ✏ð❿➶■✏✯✟➪✵✕★ñ✏ð❿➶■➘✠❆➑✡☛

➧✛☛✍✌✜✕✡☛✖✣✗✩✡✁❛☛✖➒❉✕✡✁✛✠❉✄✝☛✖✩✗✓✪✢✭✠☞☛❊☛✍✫✛☛✍✌❆→✝✑✘✌❆✁☎➒❆➒✵➢✇✢✛✩✗✩✡✌❆☛✖➒❆➒✧➒☞✆✟✢✛✑✘☛❿✑✍✢✛✣✪✣✰û☎✌✜✢✭✠❆➑✡☛✍✌✖✮❛✄➆✢✛✕✗✢✭➎✛☛✘➢

✄✝☛✖✕❼✠➂✓✪➒r✆✲☛✍✌❆✥➏✁✛✌✜✄✝☛✖✩✝✢✭✠❉✠❆➑✡☛❿✞✗➒☞☛✍✌❉✣✔☛✍✫✛☛✖✣✰✯r➪✵✕❍✠❆➑✡☛❿ñ✏ð❿➶■ô➒☞→✒➒☞✠☞☛✖✄➞✮☎✆✲☛✍✌❆✥➏✁✛✌✜✄➆✢✛✕✗✑✘☛

✓✪➒■✓✪✄✝✆✗✌❆✁✬✫✛☛✖✩➁➓❛→➁✢✛✣✔➦■✢✖→✒➒■✢✭✠☞✠☞☛✖✄✝✆✗✠❆✓✪✕✡➎❍✠☞✁✝➒❆✑✜➑✡☛✖✩✗✞✗✣✔☛✏✢✛✕✡✁✛✠❆➑✡☛✍✌■✠❆➑✡✌❆☛✖✢✛✩➔✥➏✌❆✁☎✄ü✠❆➑✡☛

➒❆✢✛✄✝☛✝✢✛✩✗✩✡✌❆☛✖➒❆➒❴➒☞✆✟✢✛✑✘☛✛û➍✠❆➑✡☛❍➒❆✑✜➑✡☛✖✩✗✞✗✣✪✓✪✕✡➎➁✁✛✆✲☛✍✌✜✢✭✠❆✓✔✁☎✕➝✑✍✢✛✕➡➓✲☛❍➑✗✢✛✕✗✩✗✣✔☛✖✩★☛✖✕❼✠❆✓✔✌❆☛✖✣✔→

➓❛→➽✠❆➑✡☛➙✞✗➒☞☛✍✌☞➢✇✣✔☛✍✫✛☛✖✣❴✠❆➑✡✌❆☛✖✢✛✩➘✑✘✁✒✩✡☛✛✯➐ì✂→➨✆✗✌❆☛✍✥➏☛✍✌❆☛✖✕❼✠❆✓✪✢✛✣✪✣✔→➨➒❆✑✜➑✡☛✖✩✗✞✗✣✪✓✪✕✡➎➵✠❆➑✡✌❆☛✖✢✛✩✗➒

➦❿✓✔✠❆➑✗✓✪✕✝✠❆➑✡☛❴➒❆✢✛✄✝☛✏✢✛✩✗✩✡✌❆☛✖➒❆➒✂➒☞✆✟✢✛✑✘☛✛✮✒ñ✏ð❿➶■➺✠❆✢✭➧✛☛✖➒❊✢✛✩✡✫✭✢✛✕❼✠❆✢✭➎✛☛❴✁✛✥➍✠❆➑✡☛❿✥❞✢✛✑✘✠✂✠❆➑✗✢✭✠

➒❆✓✔➎☎✕✗✓⑧➲✤✑✍✢✛✕❼✠❆✣✔→➙✣✔☛✖➒❆➒❚✁✬✫✛☛✍✌✜➑✡☛✖✢✛✩ô✓✪➒❳✓✪✕❼✫✛✁☎✣✔✫✛☛✖✩➛✓✪✕➼➒☞➦❿✓✔✠❆✑✜➑✗✓✪✕✡➎★✢↔✆✗✌❆✁✒✑✘☛✖➒❆➒☞✁✛✌✚✠☞✁➝✢✛✕✒➢

✁✛✠❆➑✡☛✍✌➂✠❆➑✡✌❆☛✖✢✛✩➁✓✪✕❍✠❆➑✡☛❿➒❆✢✛✄✝☛✏✢✛✩✗✩✡✌❆☛✖➒❆➒❉➒☞✆✟✢✛✑✘☛✿✠❆➑✗✢✛✕➆✓✪✕✝✌❆☛✖✢✛✣✪✣✔✁✒✑✍✢✭✠❆✓✪✕✡➎❚✢➅✆✗✌❆✁✒✑✘☛✖➒❆➒☞✁✛✌

✠☞✁❚✢❴✠❆➑✡✌❆☛✖✢✛✩✝✓✪✕❍✢✛✕✡✁✛✠❆➑✡☛✍✌❉✢✛✩✗✩✡✌❆☛✖➒❆➒r➒☞✆✟✢✛✑✘☛✛✯✧Ú✗✞✡✌❆✠❆➑✡☛✍✌✜✄✝✁✛✌❆☛✛✮☎✠❆➑✡☛❊✢✛✞✡✠❆➑✡✁✛✌✜➒✧➒❆✞✡➎✛➎✛☛✖➒☞✠

✠❆➑✗✢✭✠➅✞✗➒☞☛✍✌☞➢✇✣✔☛✍✫✛☛✖✣r✑✘✁✒✩✡☛✝✓✪➒❿✠❆➑✡☛✚➓✲☛✖➒☞✠✏✆✟✣✪✢✛✑✘☛❍✠☞✁➞✄➆✢✭➧✛☛❍✠❆➑✡☛❍✩✡☛✖✑✍✓✪➒❆✓✔✁☎✕➡✑✘✁☎✕✗✑✘☛✍✌✜✕✗✓✪✕✡➎

✠❆➑✡☛■✑✘✁☎✕❼✠☞☛✘↕✒✠✧➒☞➦❿✓✔✠❆✑✜➑✚✓✔✠❆➒☞☛✖✣✔✥▲✯❏➟✿➑✡☛➂✆✟✢✭✆✲☛✍✌✸✩✡☛✘➲✤✕✡☛✖➒✸➑✡☛✖✢✖✫❛→❛➦✂☛✖✓✔➎☎➑❼✠✸✠❆➑✡✌❆☛✖✢✛✩✗➒✍✮✭➦❿➑✗✓✪✑✜➑

✢✭✌❆☛➔✠❆➑✡✌❆☛✖✢✛✩✗➒❳✠❆➑✗✢✭✠✚✄➆✢✭➧✛☛❭✕✡✁➡✩✗✓✪➒☞✠❆✓✪✕✗✑✘✠❆✓✔✁☎✕➙➓✲☛✍✠✇➦✂☛✍☛✖✕ô✢↔✠❆➑✡✌❆☛✖✢✛✩➌✮r✠❆➑✡☛➔✩✡→✒✕✗✢✛✄➆✓✪✑

(3)

➟✿➑✡☛✍→➆✢✭✌❆➎☎✞✡☛❿✠❆➑✗✢✭✠✂✠❆➑✡☛❿➓✟✢✭➎✛➎☎✢✭➎✛☛➅➒❆✞✗✑✜➑➔✢✛➒➂✁✛✆✲☛✖✕✝➲✤✣✔☛❿✩✡☛✖➒❆✑✘✌✜✓✔✆✗✠☞✁✛✌✜➒✍✮❼✆✟✢✭➎✛☛✏✠❆✢✭➓✟✣✔☛✖➒✍✮

✢✛✕✗✩↔✢✛✑✍✑✘✁☎✞✗✕❼✠❆✓✪✕✡➎➁➒☞✠❆✢✭✠☞☛✚✄➆✢✭➧✛☛✖➒✿✁✛✆✲☛✍✌✜✢✭✠❆✓✔✁☎✕✗➒■✁☎✕↔➑✡☛✖✢✖✫❛→❛➦✂☛✖✓✔➎☎➑❼✠❿✠❆➑✡✌❆☛✖✢✛✩✗➒✿✑✘✁☎➒☞✠❆✣✔→✛✯

➟✿➑✡☛★✢✛✞✡✠❆➑✡✁✛✌✜➒➆✥❞✞✡✌❆✠❆➑✡☛✍✌➆✢✭✌❆➎☎✞✡☛★✠❆➑✗✢✭✠➆➧✛☛✍✌✜✕✡☛✖✣⑧➢✇✣✔☛✍✫✛☛✖✣✿✠❆➑✡✌❆☛✖✢✛✩✗➒➆✁✛✌➔✄➆✓✪✩✗✩✗✣✔☛✍➦✂☛✖✓✔➎☎➑❼✠

✠❆➑✡✌❆☛✖✢✛✩✗➒✍✮✂✓✪✕➵➦❿➑✗✓✪✑✜➑ô✢✛✩✗✩✡✌❆☛✖➒❆➒❍➒☞✆✟✢✛✑✘☛✖➒➆✢✛✕✗✩➛✠❆➑✡✌❆☛✖✢✛✩✗➒✝✢✭✌❆☛➞✩✡☛✖✑✘✁☎✞✡✆✟✣✔☛✖✩ô✢✛✕✗✩ô✠❆➑✡☛

➧✛☛✍✌✜✕✡☛✖✣✟✢✛➒❆➒❆✞✗✄✝☛✖➒✧✠❆➑✡☛✿✌❆☛✖➒☞✆✲✁☎✕✗➒❆✓✔➓✟✓✪✣✪✓✔✠✇→➅✥➏✁✛✌➂➒❆✑✜➑✡☛✖✩✗✞✗✣✪✓✪✕✡➎❴✠❆➑✡☛✿✠❆➑✡✌❆☛✖✢✛✩➌✮❛✩✡✁❚✕✡✁✛✠❉✆✲☛✍✌☞➢

✥➏✁✛✌✜✄ü✢✛➒➂➦✂☛✖✣✪✣✟✢✛➒✂✣✪✓✔➎☎➑❼✠✇➦✂☛✖✓✔➎☎➑❼✠➂✠❆➑✡✌❆☛✖✢✛✩✗➒✍✯✧➟✿➑✡☛✿✆✟✢✭✆✲☛✍✌✂✢✭✌❆➎☎✞✡☛✖➒➂✠❆➑✗✢✭✠➂✠❆➑✡☛❿➧✛☛✍✌✜✕✡☛✖✣✰ù➒

✄➆✢✛✕✗✓✔✆✟✞✗✣✪✢✭✠❆✓✔✁☎✕✏✁✛✥✡✄➆✓✪✩✗✩✗✣✔☛✍➦✂☛✖✓✔➎☎➑❼✠✤✠❆➑✡☛✍✌❆☛✖✢✛✩✗➒❏✓✪✕➅✢❊➎✛☛✖✕✡☛✍✌✜✢✛✣✛➦■✢✖→❚✑✍✢✭✌❆✌✜✓✔☛✖➒➍✢✿➒❆✓✔➎☎✕✗✓⑧➲✗➢

✑✍✢✭✠❆✓✔✁☎✕❳✆✲☛✍✌❆✥➏✁✛✌✜✄➆✢✛✕✗✑✘☛✧✆✲☛✖✕✗✢✛✣✔✠✇→✛✯✸Ú✗✞✡✌❆✠❆➑✡☛✍✌✖✮❶✠❆➑✡☛❉✓✪✄✝✆✟✢✛✑✘✠➍✁✛✥✒✠❆➑✡✌❆☛✖✢✛✩❚✄➆✢✛✕✗✢✭➎✛☛✖✄✝☛✖✕❼✠

✆✲✁☎✣✪✓✪✑✘→➁✁☎✕↔✆✗✌❆✁✛➎✛✌✜✢✛✄➣✆✲☛✍✌❆✥➏✁✛✌✜✄➆✢✛✕✗✑✘☛❚➒☞✠☞✌❆✁☎✕✡➎☎✣✔→❭✓✪✕✒þ✤✞✡☛✖✕✗✑✘☛✖➒■✁✬✫✛☛✍✌✜✢✛✣✪✣➍✠❆➑✡✌❆✁☎✞✡➎☎➑✡✆✟✞✡✠

✁✛✥■✠❆➑✡☛➆✢✭✆✗✆✟✣✪✓✪✑✍✢✭✠❆✓✔✁☎✕➌➷❴✓✔✠❚✓✪➒➅✞✗✕✗✣✪✓✔➧✛☛✖✣✔→➞✠❆➑✗✢✭✠❳✢❭➧✛☛✍✌✜✕✡☛✖✣⑧➢✇✣✔☛✍✫✛☛✖✣✧✠❆➑✡✌❆☛✖✢✛✩➼➒❆✑✜➑✡☛✖✩✗✞✗✣✪✓✪✕✡➎

✆✲✁☎✣✪✓✪✑✘→➆➦❿✓✪✣✪✣✟➓✲☛❴☛✘➻➔✑✍✓✔☛✖✕❼✠❊✥➏✁✛✌✿✢✛✣✪✣✤✆✟✢✭✌✜✢✛✣✪✣✔☛✖✣✤✆✗✌❆✁✛➎✛✌✜✢✛✄➆➒✍✯❉➟✿➑✡☛✍✌❆☛✍✥➏✁✛✌❆☛✛✮✡✣✪✓✔➎☎➑❼✠✇➦✂☛✖✓✔➎☎➑❼✠

✠❆➑✡✌❆☛✖✢✛✩✗➒➂✆✗✌❆✁✬✫✒✓✪✩✡☛❿✢❳➓✲☛✍✠☞✠☞☛✍✌■✢✛✣✔✠☞☛✍✌✜✕✗✢✭✠❆✓✔✫✛☛❿✠☞✁✚✠❆➑✡☛✖➒☞☛❿✠✇➦✂✁✝✢✭✆✗✆✗✌❆✁☎✢✛✑✜➑✡☛✖➒✍✯✧➪✵✕➁✢✛✑✍✑✘✁✛✌☞➢

✩✗✢✛✕✗✑✘☛➔➦❿✓✔✠❆➑➵✠❆➑✡☛✖➒☞☛➔✁✛➓✟➒☞☛✍✌❆✫✭✢✭✠❆✓✔✁☎✕✗➒✍✮✧✠❆➑✡☛❭ñ✏ð❿➶■➫✢✭✆✗✆✗✌❆✁☎✢✛✑✜➑➛☛✖✄✝✆✟➑✗✢✛➒❆✓✔➜✍☛✖➒❍✑✍✢✛✣✪✣✪➒

➓✲☛✍✠✇➦✂☛✍☛✖✕➆✥❞✞✗✕✗✑✘✠❆✓✔✁☎✕✗➒✸✠❆➑✗✢✭✠❉✩✡✁➅✕✡✁✛✠❉✓✪✕❼✫✛✁✛➧✛☛✿✠❆➑✡☛❊➧✛☛✍✌✜✕✡☛✖✣✡✢✛✕✗✩❍✠❆➑✗✢✭✠❉✩✡✁➅✕✡✁✛✠❉✞✗✕✗✕✡☛✖✑❝➢

☛✖➒❆➒❆✢✭✌✜✓✪✣✔→❍✌❆☛✖✢✛✣✪✣✔✁✒✑✍✢✭✠☞☛❿✆✗✌❆✁✒✑✘☛✖➒❆➒☞✁✛✌✜➒✧➓✲☛✍✠✇➦✂☛✍☛✖✕❭✢✛✩✗✩✡✌❆☛✖➒❆➒❉➒☞✆✟✢✛✑✘☛✖➒✍✯❉➟✿➑✡☛✖➒☞☛✿✠✇➦✂✁❍✓✪➒❆➒❆✞✡☛✖➒

✢✭✌❆☛✝➧✛☛✍→➝✠☞✁➞✠❆➑✡☛✝✆✲☛✍✌❆✥➏✁☎✄➆✢✛✕✗✑✘☛❍☛✖✕✗➑✗✢✛✕✗✑✘☛✖✄✝☛✖✕❼✠❆➒❚✩✡☛✖✄✝✁☎✕✗➒☞✠☞✌✜✢✭✠☞☛✖✩➼✓✪✕➡✠❆➑✡☛➆ñ✏ð❿➶■

✢✭✆✗✆✗✌❆✁☎✢✛✑✜➑➌✯➫➟✿➑✗✓✪➒➁✆✟✢✭✆✲☛✍✌❭✑✘✁☎✕❼✠❆✢✛✓✪✕✗➒➔✆✲☛✍✌✜➑✗✢✭✆✟➒➁✠❆➑✡☛➝✄✝✁☎➒☞✠➞➒❆✓✔➎☎✕✗✓⑧➲✤✑✍✢✛✕❼✠➁✌❆☛✖➒❆✞✗✣✔✠❆➒

✓✪✕➽✑✘✁☎✄✝✆✟✞✡✠☞☛✍✌➞➒❆✑✍✓✔☛✖✕✗✑✘☛➝➦❿✓✔✠❆➑➹✌❆☛✖➒☞✆✲☛✖✑✘✠❭✠☞✁➛✠❆➑✡☛➙✩✡☛✖➒❆✓✔➎☎✕➨✁✛✥❚✁✛✆✲☛✍✌✜✢✭✠❆✓✪✕✡➎ô➒☞→✒➒☞✠☞☛✖✄

➒☞✁✛✥➏✠✇➦■✢✭✌❆☛★➒☞✠☞✌✜✞✗✑✘✠❆✞✡✌❆☛✖➒✚✥➏✁✛✌✝✄✚✞✗✣✔✠❆✓✔✆✗✌❆✁✒✑✘☛✖➒❆➒☞✁✛✌❍✢✭✌✜✑✜➑✗✓✔✠☞☛✖✑✘✠❆✞✡✌❆☛✖➒✍✯➼➪▲✠❆➒❍✁✛✌✜✓✔➎☎✓✪✕✗✢✛✣➂✢✛✕✗✩

✠❆➑✡✁☎✞✡➎☎➑❼✠☞✥❞✞✗✣➌✓✪✕✗➒❆✓✔➎☎➑❼✠❆➒■✓✪✕❼✠☞✁✝✠❆➑✡☛✖➒☞☛❚✓✪➒❆➒❆✞✡☛✖➒■➦❿✓✪✣✪✣✤➑✗✢✖✫✛☛❳✢✝✣✔✁☎✕✡➎✭➢✇✣✪✢✛➒☞✠❆✓✪✕✡➎✝✓✪✄✝✆✟✢✛✑✘✠■✁☎✕

✠❆➑✡☛➅➲✟☛✖✣✪✩➌✯

ì✂✁✛✠❆➑➝ï❏ð❿➶■➴✢✛✕✗✩➡ñ✏ð❿➶■➘➦✂☛✍✌❆☛❍✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕❼✠☞☛✖✩↔✁☎✕➡✢

➸❴ÿ

➈✎✒ð✿➴Úr✓✔✌❆☛✘þ✟→

✄✚✞✗✣✔✠❆✓✔✆✗✌❆✁✒✑✘☛✖➒❆➒☞✁✛✌❳➦✂✁✛✌❆➧✒➒☞✠❆✢✭✠❆✓✔✁☎✕➛✌✜✞✗✕✗✕✗✓✪✕✡➎➞✠❆➑✡☛❭➟✸✢✭✁➡✁✛✆✲☛✍✌✜✢✭✠❆✓✪✕✡➎➡➒☞→✒➒☞✠☞☛✖✄øí⑧✳❝î❹✯✁

➒❆✓✪✄✝✆✟✣✔☛➅✑✘✌❆✁☎➒❆➒✵➢✇✢✛✩✗✩✡✌❆☛✖➒❆➒✵➢✇➒☞✆✟✢✛✑✘☛❳✑✍✢✛✣✪✣➍✞✗➒❆✓✔➎➔✎✒ð✿✽ð❿➶■➽✠❆✢✭➧✛☛✖➒ Ù❼Ø❶Ù ✄➆✓✪✑✘✌❆✁☎➒☞☛✖✑✘✁☎✕✗✩✗➒

✁☎✕➛✢➡➒❆✓✪✕✡➎☎✣✔☛❭➂➢ ý ✄✂➣✆✗✌❆✁✒✑✘☛✖➒❆➒☞✁✛✌✖✯↔ï❏ð❿➶■➈✠❆✢✭➧✛☛✖➒➞✳✖➤☎✺↔✄➆✓✪✑✘✌❆✁☎➒☞☛✖✑✘✁☎✕✗✩✗➒❳✥➏✁✛✌✚✠❆➑✡☛

➒❆✢✛✄✝☛✝✑✍✢✛✣✪✣✰✮➌✢✛✕✗✩➝✞✗➒❆✓✪✕✡➎➔ñ✏ð❿➶■➴✌❆☛✖✩✗✞✗✑✘☛✖➒✏✠❆➑✡☛❍✑✍✢✛✣✪✣✰ù➒❴✣✪✢✭✠☞☛✖✕✗✑✘→★✠☞✁↔✹✛✶➔✄➆✓✪✑✘✌❆✁☎➒☞☛✖✑❝➢

✁☎✕✗✩✗➒✍✯

☎ ✆➠ä➂è❀Ý❊ã✲ä á✜â✏ã✲ä❉å➍æ❍å➌Ý❚Þ✧ä❉ç✤çúÞ✧Ý✏èéèëê✝â✝á❆Þ✧ß✂ã➌á❆Ý✏â

✎❛☛✍✫✛☛✍✌✜✢✛✣✟✄✝☛✖➒❆➒❆✢✭➎✛☛✘➢❹➓✟✢✛➒☞☛✖✩➁✁✛✆✲☛✍✌✜✢✭✠❆✓✪✕✡➎❚➒☞→✒➒☞✠☞☛✖✄➆➒❉✑✍✢✛✕➆✌❆☛✖✣✪✓✪✢✭➓✟✣✔→❳➒☞☛✖✕✗✩➆✄✝☛✖➒❆➒❆✢✭➎✛☛✖➒❉✠☞✁

✆✗✌❆✁✒✑✘☛✖➒❆➒❉☛✘↕✒☛✖✑✍✞✡✠❆✓✪✕✡➎❳✁☎✕➁✢✛✕❼→✝➑✡✁☎➒☞✠✂✓✪✕❍✠❆➑✡☛✏✕✡☛✍✠✇➦✂✁✛✌❆➧✤✯❉➟✿➑✡☛✞✝❂➒☞→✒➒☞✠☞☛✖✄ëí

Ù

î✲✓✪✄✝✆✟✣✔☛✘➢

✄✝☛✖✕❼✠❆➒❉✢✛✩✗✩✡✌❆☛✖➒❆➒✧➒☞✆✟✢✛✑✘☛✖➒✍✮☎✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒✍✮☎✢✛✕✗✩❍✠❆➑✡☛✿✓✪✕❼✠☞☛✍✌❆✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒r✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕

✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣✧✓✪✕➡✠❆➑✡☛❍➧✛☛✍✌✜✕✡☛✖✣r✠☞✁➞✆✗✌❆✁✬✫✒✓✪✩✡☛❍✢❭➑✗✓✔➎☎➑✒➢❹✆✲☛✍✌❆✥➏✁✛✌✜✄➆✢✛✕✗✑✘☛✚✄✝☛✖➒❆➒❆✢✭➎✛☛✘➢❹✆✟✢✛➒❆➒❆✓✪✕✡➎

(4)

➧✛☛✍✌✜✕✡☛✖✣✲✓✪✕➁➒☞☛✍✆✟✢✭✌✜✢✭✠☞☛❴✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒✍✯✡✠☞☛✍✌✏✎➙✞✗➒☞☛✖➒✂✫✒✓✔✌❆✠❆✞✗✢✛✣⑧➢✇✄✝☛✖✄✝✁✛✌❆→❍✠☞☛✖✑✜➑✗✕✗✓✒✑❛✞✡☛✖➒➂✠☞✁

✁✛✆✗✠❆✓✪✄➆✓✔➜✍☛➔✣✔✁✒✑✍✢✛✣❉➪✵➶■✏✯✸ð✿☛✖✄✝✁✛✠☞☛❭✑✘✁☎✄➆✄➆✓✪✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕➼➎✛✁❛☛✖➒✚✠❆➑✡✌❆✁☎✞✡➎☎➑➵✢★✞✗➒☞☛✍✌☞➢✇✣✔☛✍✫✛☛✖✣

➒☞☛✍✌❆✫✛☛✍✌✏✆✗✌❆✁✒✑✘☛✖➒❆➒✍✮✟➦❿➑✗✓✪✑✜➑↔✢✛✩✗✩✗➒❊☛✘↕✒✠☞✌✜✢➆✁✬✫✛☛✍✌✜➑✡☛✖✢✛✩➌✯✄✓✕✔✗✖✙✘✛✚✜☛★✞✗➒☞☛✖➒❿✑✍✢✭✆✟✢✭➓✟✓✪✣✪✓✔✠❆✓✔☛✖➒

✥➏✁✛✌✿✢✛✑✍✑✘☛✖➒❿✑✘✁☎✕❼✠☞✌❆✁☎✣➍✢✛✕✗✩❭✄✝☛✖➒❆➒❆✢✭➎✛☛❳✢✛✩✗✩✡✌❆☛✖➒❆➒✍✯r➪▲✠❊➑✗✢✛➒❊✢✝➒❆✄➆✢✛✣✪✣✤➧✛☛✍✌✜✕✡☛✖✣✰✮✡✢✛✕✗✩❭✄✝✁☎➒☞✠

✥➏☛✖✢✭✠❆✞✡✌❆☛✖➒❿✢✭✌❆☛❳✓✪✕➞✞✗➒☞☛✍✌✿✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒✍✯

➩❿✁✬➦✂☛✍✫✛☛✍✌✖✮❊✕✡✁✛✠➆✢✛✣✪✣✂✠❆➑✡☛↔➒☞→✒➒☞✠☞☛✖✄➆➒✝✞✗➒☞☛❭✠❆➑✡☛↔➒❆✄➆✢✛✣✪✣⑧➢❹➧✛☛✍✌✜✕✡☛✖✣■✢✭✆✗✆✗✌❆✁☎✢✛✑✜➑➺➦❿✓✔✠❆➑

✌❆☛✖✄✝✁✛✠☞☛❊➪✵➶■➼✁☎✞✡✠❆➒❆✓✪✩✡☛■✠❆➑✡☛■➧✛☛✍✌✜✕✡☛✖✣✰✯✸➪✵✕➆✎❛✆✗✌✜✓✔✠☞☛❴í➤✬î❹✮❼✠❆➑✡☛■➪✵➶■➵✓✪➒✸✠❆➑✡✌❆✁☎✞✡➎☎➑❍✢✏✆✟➒☞☛✖✞✒➢

✩✡✁✒✩✡☛✍✫✒✓✪✑✘☛❭✄✝☛✖✑✜➑✗✢✛✕✗✓✪➒❆✄➞✯➼✎❛✆✗✌✜✓✔✠☞☛➆➧✛☛✍✌✜✕✡☛✖✣■✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕➛✓✪➒❳✠❆➑✡✌❆✁☎✞✡➎☎➑➺✎❛✆✗✌✜✓✔✠☞☛

➧✛☛✍✌✜✕✡☛✖✣⑧➢❹✠☞✁✭➢❹➧✛☛✍✌✜✕✡☛✖✣❉ð❿➶■✏✯➌ð❿➶■ú✓✪✕↔↕❛➢❹➧✛☛✍✌✜✕✡☛✖✣❿í

Ø

î➂✓✪➒❴✢✛✣✪➒☞✁➞✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕❼✠☞☛✖✩➝✢✭✠➅✠❆➑✡☛

➧✛☛✍✌✜✕✡☛✖✣✤✣✔☛✍✫✛☛✖✣✰✯✧➟✸✢✭➓✟✣✔☛✚✳❿➒❆➑✡✁✬➦❿➒➂✠❆➑✡☛❿✆✲☛✍✌❆✥➏✁✛✌✜✄➆✢✛✕✗✑✘☛✿✁✛✥➌✫✭✢✭✌✜✓✔✁☎✞✗➒➂ð❿➶■■➒➂✁✬✫✛☛✍✌ ÿ ✠❆➑✒➢

☛✍✌✜✕✡☛✍✠✍✯

➟✸✢✭➓✟✣✔☛➆✳✭✯➂➶✸☛✍✌❆✥➏✁✛✌✜✄➆✢✛✕✗✑✘☛❳✩✗✢✭✠❆✢➆✥➏✁✛✌✿✌❆☛✖✄✝✁✛✠☞☛❚✆✗✌❆✁✒✑✘☛✖✩✗✞✡✌❆☛➅✑✍✢✛✣✪✣✪➒✍✯❿✴❞➟✿➑✡☛✚✎✒✞✗✕↔✶✣✢✛✺✭➤

✓✪➒❊✢➁õ✬➢✇✦★➪✵➶■✎❭✄➆✢✛✑✜➑✗✓✪✕✡☛✛✮✟✢✛✕✗✩❭✠❆➑✡☛❍✎✒✞✗✕↔✶✣✢ Ø ➥➁✓✪➒❊✢➁✶✬➢✇✦★➪✵➶■✎➞✄➆✢✛✑✜➑✗✓✪✕✡☛❶✷

✤✦✥ ✌★✧✏✘✩✔ ✪✬✫✮✭✰✯ ✥✲✱ ✘✳✓✬✴✶✵✷✎✜✸✹✧✏✘✛✵✺✧✶✻✼✴✶✘✾✽✿☛❀✧✏✘✩❁✼✵ ✥ ✽✿☛❀✧✏✘✩❁✼✵ ✥

✠☞❂★✫

✝ ñ✏➒☞☛✍✌✏✣✔☛✍✫✛☛✖✣ ✎✒✞✗✕➞✶✣✢✛✺✭➤ õ❛✯➤✭➥➁✄➆➒ ➤❛✯➥➁✄➆➒

✠☞☛✍✌✏✎ ñ✏➒☞☛✍✌✏✣✔☛✍✫✛☛✖✣ ✎✒✞✗✕➞✶✣✢

Ø

➥ ✳✛✳✭✯➥➁✄➆➒ ✶✛✶❛✯➥➆✄➆➒

✓✕✔✗✖✙✘✛✚✜☛ ñ✏➒☞☛✍✌✏✣✔☛✍✫✛☛✖✣ ✎✒✞✗✕➞✶✣✢ Ø ➥ ✳✭✯✪✳❚✄➆➒ ✶❛✯✶➆✄➆➒

✤✙✱ ✴✷✸✹✧✏✘ ❃➅☛✍✌✜✕✡☛✖✣➌✣✔☛✍✫✛☛✖✣ ✎✒✞✗✕➞✶✣✢✛✺✭➤ õ❛✯

Ù

➤➆✄➆➒

Ù

✯✹➆✄➆➒

✤✙✱

✴✷✸✹✧✏✘ ❃➅☛✍✌✜✕✡☛✖✣➌✣✔☛✍✫✛☛✖✣ ✎✒✞✗✕➞✶✣✢✛✺✭➤ ✳✭✯✺❶➥➁✄➆➒ ✶❛✯

Ù

✄➆➒

❄ ❅✽Ý✏èëê✝â✝á❆Þ✧ß✂ã➌á❆Ý✏â æ❍å➌Ý❊ã✲Ý❚Þ✧Ý✏à❆ç

✂✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕➔✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣✪➒✂✆✗✌❆✁✬✫✒✓✪✩✡☛❴✢❍➒☞✠❆✢✛✕✗✩✗✢✭✌✜✩➁➦■✢✖→➔✠☞✁✝✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠☞☛❴➓✲☛✘➢

✠✇➦✂☛✍☛✖✕★➑✡✁☎➒☞✠❆➒✿✑✘✁☎✕✡☛✖✑✘✠☞☛✖✩↔➓❛→➔✢✝✕✡☛✍✠✇➦✂✁✛✌❆➧✤✯ ➸ ✢✭✠❆✢✭➎✛✌✜✢✛✄ ✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣➌➒❆✞✗✑✜➑➞✢✛➒❊➪✵➶➹✢✭✌❆☛

✓✪✕✡☛✘↕✒✆✲☛✖✕✗➒❆✓✔✫✛☛✚➓✟✞✡✠❴✞✗✕✡✌❆☛✖✣✪✓✪✢✭➓✟✣✔☛✛✯➅➩❿✁✬➦✂☛✍✫✛☛✍✌✖✮✸✄✝✁✛✌❆☛❍✌❆☛✖✣✪✓✪✢✭➓✟✣✔☛✚✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣✪➒✍✮➍➒❆✞✗✑✜➑➙✢✛➒

✫✒✓✔✌❆✠❆✞✗✢✛✣⑧➢✇✑✍✓✔✌✜✑✍✞✗✓✔✠✏✢✛✕✗✩➝✌❆☛❆✑❛✞✗✓✔☛✖➒☞✠✵➢❹✌❆☛✖➒☞✆✲✁☎✕✗➒☞☛✚✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣✪➒✍✮➍✑✍✢✛✕➙➓✲☛❍➓✟✞✗✓✪✣✔✠❿✁☎✕➝✠☞✁✛✆➼✁✛✥

✩✗✢✭✠❆✢✭➎✛✌✜✢✛✄ ✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣✪➒✍✯

➟✿➑✡☛✿✫✛☛✍✌✜➒❆✢✭✠❆✓✪✣✔☛❿✄✝☛✖➒❆➒❆✢✭➎✛☛✏✠☞✌✜✢✛✕✗➒❆✢✛✑✘✠❆✓✔✁☎✕➆✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣r✴ý ✦➡➟✿➶■✷✧✓✪➒❉✢❚✠☞✌✜✢✛✕✗➒☞✆✲✁✛✌❆✠✵➢

✣✔☛✍✫✛☛✖✣➍✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣➍✠❆➑✗✢✭✠✏➒❆✞✡✆✗✆✲✁✛✌❆✠❆➒■✠❆➑✡☛❳✓✪✕❼✠☞✌✜✢✛➒☞→✒➒☞✠☞☛✖✄ ✄✝✁✒✩✡☛✖✣➌✁✛✥✧✩✗✓✪➒☞✠☞✌✜✓✔➓✟✞✡✠☞☛✖✩➔✆✗✌❆✁✭➢

✑✘☛✖➒❆➒❆✓✪✕✡➎➼íÙ î❹✯❍➶r✢✭➎✛☛✘➢✇✣✔☛✍✫✛☛✖✣❉✁✛✥❉➲✤✣✔☛❍✢✛✑✍✑✘☛✖➒❆➒✍✮❏✌❆☛✖✄✝✁✛✠☞☛✝✆✗✌❆✁✒✑✘☛✖✩✗✞✡✌❆☛❍✑✍✢✛✣✪✣✪➒✍✮✲✌❆☛✖✢✛✣⑧➢❹✠❆✓✪✄✝☛

✩✗✢✭✠❆✢✭➎✛✌✜✢✛✄➆➒✍✮✂✢✛✕✗✩ô✄✚✞✗✣✔✠❆✓✪✑✍✢✛➒☞✠❆✓✪✕✡➎➡✩✡✁☎✄➆✓✪✕✗✢✭✠☞☛➔✠❆➑✡☛➞✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕ô✢✛✑✘✠❆✓✔✫✒✓✔✠❆✓✔☛✖➒✍✯

ý

(5)

✢✛✑✘✠❆✓✔✁☎✕✗➒✍✮✂✞✗➒☞☛✍✥❞✞✗✣➂✥➏✁✛✌✝✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕❼✠❆✓✪✕✡➎➡✑✘✁☎✕❼✫✛☛✍✌✜➒❆✓✔✁☎✕✗➒✝✢✭✠✝➑✗✓✔➎☎➑✡☛✍✌✝✣✔☛✍✫✛☛✖✣✪➒✍✯❇ ➒☞✠❆✢❶➢

➓✟✣✔☛➝✢✛✩✗✩✡✌❆☛✖➒❆➒➔✑✍✢✛✕✽➓✲☛➡✞✗➒☞☛✖✩✽✓✪✕➽✄✚✞✗✣✔✠❆✓✔✆✟✣✔☛★✄✝☛✖➒❆➒❆✢✭➎✛☛➝✠☞✌✜✢✛✕✗➒❆✢✛✑✘✠❆✓✔✁☎✕✽✢✛➒➞✣✔✁☎✕✡➎ô✢✛➒

✓✔✠❴✌❆☛✖✄➆✢✛✓✪✕✗➒✏✫✭✢✛✣✪✓✪✩➌✯❈➚✄✝☛✖➒❆➒❆✢✭➎✛☛✝✠☞✌✜✢✛✕✗➒❆✢✛✑✘✠❆✓✔✁☎✕➙✓✪➒❴✢➔✌❆☛✖✣✪✓✪✢✭➓✟✣✔☛❳✌❆☛❆✑❛✞✡☛✖➒☞✠✵➢❹✌❆☛✖➒☞✆✲✁☎✕✗➒☞☛

✓✪✕❼✠☞☛✍✌✜✢✛✑✘✠❆✓✔✁☎✕❍➓✲☛✍✠✇➦✂☛✍☛✖✕✝✢✛✩✗✩✡✌❆☛✖➒❆➒❆✢✭➓✟✣✔☛✂✕✡☛✍✠✇➦✂✁✛✌❆➧❳☛✖✕❼✠❆✓✔✠❆✓✔☛✖➒❊✴➏✆✲✁✛✌❆✠❆➒✍✮✛✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒✍✮✛✆✗✌❆✁✭➢

✑✘☛✖✩✗✞✡✌❆☛❚✓✪✕❼✫✛✁✒✑✍✢✭✠❆✓✔✁☎✕✗➒❝✷✜✯❉✦➡✞✗✣✔✠❆✓✪✑✍✢✛➒☞✠❆✓✪✕✡➎✡✮✡✩✗✢✭✠❆✢✭➎✛✌✜✢✛✄➆➒✍✮✟✢✛✕✗✩❭✥➏✁✛✌❆➦■✢✭✌✜✩✗✓✪✕✡➎❍➒☞☛✍✌❆✫✒✓✪✑✘☛✖➒

✢✭✌❆☛❚✆✗✌❆✁✬✫✒✓✪✩✡☛✖✩➞✢✛➒✿✫✭✢✭✌✜✓✪✢✛✕❼✠❆➒❊✁✛✥r✠❆➑✡☛❚✄✝☛✖➒❆➒❆✢✭➎✛☛❳✠☞✌✜✢✛✕✗➒❆✢✛✑✘✠❆✓✔✁☎✕↔✄✝☛✖✑✜➑✗✢✛✕✗✓✪➒❆✄➞✯

ñ✏➒❆✓✪✕✡➎➞✫✒✓✔✌❆✠❆✞✗✢✛✣r✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣✪➒❳✢✛✕✗✩➵✣✪✢✖→✛☛✍✌❆☛✖✩➼✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣✪➒✍✮✸✠❆➑✡☛✝↕❛➢❹➧✛☛✍✌✜✕✡☛✖✣➂✓✪✄✝✆✟✣✔☛✘➢

✄✝☛✖✕❼✠❆➒✧➎✛☛✖✕✡☛✍✌✜✢✛✣⑧➢❹✆✟✞✡✌❆✆✲✁☎➒☞☛➂→✛☛✍✠❉☛✘➻➔✑✍✓✔☛✖✕❼✠✧ð❿➶■■➒✍✯

ý

✓✔✌❆✠❆✞✗✢✛✣❼✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣✪➒✧✢✭✌❆☛✿✩✡☛✖✄✚✞✗✣⑧➢

✠❆✓✔✆✟✣✔☛✘↕✒☛✍✌✜➒❴✠❆➑✗✢✭✠❳✌❆✁☎✞✡✠☞☛✝✠❆➑✡☛➁✄✝☛✖➒❆➒❆✢✭➎✛☛✖➒❳✠☞✁★✢✭✆✗✆✗✌❆✁✛✆✟✓✪✢✭✠☞☛➆✣✔✁✬➦✂☛✍✌✚✣✔☛✍✫✛☛✖✣✧✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣✪➒✍✯

Ú✡✁✛✌➂☛✘↕✡✢✛✄✝✆✟✣✔☛✛✮❛✓✪✕✝✢✛✕✝➪✵✕❼✠☞☛✍✌✜✕✡☛✍✠✧☛✖✕❼✫✒✓✔✌❆✁☎✕✗✄✝☛✖✕❼✠✍✮❼✢➅✫✒✓✔✌❆✠❆✞✗✢✛✣❛✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣✗➦❿✓✪✣✪✣❼➓❛→❛✆✟✢✛➒❆➒

✠❆➑✡☛❚➪✵✕❼✠☞☛✍✌✜✕✡☛✍✠❿➶❉✌❆✁✛✠☞✁✒✑✘✁☎✣➍✥➏✁✛✌❿✄✝☛✖➒❆➒❆✢✭➎✛☛✖➒✿✁✛✌✜✓✔➎☎✓✪✕✗✢✭✠❆✓✪✕✡➎✝✢✛✕✗✩➞☛✖✕✗✩✗✓✪✕✡➎✝✓✪✕❭✠❆➑✡☛❚➒❆✢✛✄✝☛

✕✡☛✍✠✇➦✂✁✛✌❆➧✤✯➠➟✿➑✡☛➡➒❆✞✡✆✗✆✲✁✛✌❆✠➆✁✛✥❳✢✭✠☞✁☎✄➆✓✪✑➡➓✗✌❆✁☎✢✛✩✗✑✍✢✛➒☞✠❆✓✪✕✡➎➛✢✛✕✗✩➨✥❞✢✛✓✪✣✪✞✡✌❆☛★✩✡☛✍✠☞☛✖✑✘✠❆✓✔✁☎✕

➦❿✓✔✠❆➑✗✓✪✕➔✠❆➑✡☛❚✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕➞➒❆✞✡➓✟➒☞→✒➒☞✠☞☛✖✄➣➒❆✓✪✄✝✆✟✣✪✓⑧➲✟☛✖➒➂✠☞✌✜✢✛✕✗➒❆✢✛✑✘✠❆✓✔✁☎✕➞✆✗✌❆✁✒✑✘☛✖➒❆➒❆✓✪✕✡➎

➒☞✁✛✥➏✠✇➦■✢✭✌❆☛✚✢✛✕✗✩➞✁✛✆✗✠❆✓✪✄➆✓✔➜✍☛✖➒✿✕✡☛✍✠✇➦✂✁✛✌❆➧❭➓✗✌❆✁☎✢✛✩✗✑✍✢✛➒☞✠❆✓✪✕✡➎➆✑✍✢✭✆✟✢✭➓✟✓✪✣✪✓✔✠❆✓✔☛✖➒➅í✺✖î❹✯

❉ ❊ Ý❿å➍è❀çúÝ✄❋➵á✜â✏ã✲ä❉å➍æ❍å➌Ý❚Þ✧ä❉ç✤çúÞ✧Ý✏èéèëê✝â✝á❆Þ✧ß✂ã➌á❆Ý✏â

➯❚✎✍✢✭✶✛✹✭➥➞➯✏✆✲☛✖✕ ÿ ✩✗✓✔✠❆✓✔✁☎✕❭➒☞☛✍✌❆✫✒✓✪✑✘☛✖➒✿✆✗✌❆✁✬✫✒✓✪✩✡☛➅✠❆➑✡✌❆☛✍☛✚➒☞✆✲☛✖✑✍✓✪✢✛✣➌➦■✢✖→✒➒❿✥➏✁✛✌❿✆✗✌❆✁✛➎✛✌✜✢✛✄❍➢

✄➆✓✪✕✡➎✝✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒❊✠☞✁➁✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠☞☛✛➷

✠☞✘✛✌❆✌❆☛✍●❍✘✁■✲✻✼✘✩✻✼✘✛✌✺❏ ✤ ✘✩✔✗☛ ✱ ✎✼✖❍✴✶✘✛✌✺❏ ✤ ✎✼☛✍✴✶✘✛❑▲✔✗✘✩✔✗✖❍✴ ✥

➟✿➑✡☛✖➒☞☛➂✥➏✁✛✌✜✄➆➒➍✁✛✥✗✓✪✕❼✠☞☛✍✌❆✆✗✌❆✁✒✑✘☛✖➒❆➒❏✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕❳☛✘↕✒✠☞☛✖✕✗✩❳✠❆➑✡☛➂✆✲✁☎➒❆➒❆✓✔➓✟✓✪✣✪✓✔✠❆✓✔☛✖➒✟✆✗✌❆✁✭➢

✫✒✓✪✩✡☛✖✩➘➓❛→✽✠❆➑✡☛➵➒❆✓✪✄✝✆✟✣✔☛✍✌❭✥➏✁✛✌✜✄➆➒➞✁✛✥✝✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕➌➷➹✆✟✓✔✆✲☛✖➒✍✮❴✕✗✢✛✄✝☛✖✩➴✆✟✓✔✆✲☛✖➒

✁✛✌➡Ú✸➪✵Ú✸➯❴➒✍✮❚➒❆✓✔➎☎✕✗✢✛✣✪➒✍✮❴✢✛✕✗✩➴➒☞✁✒✑❆➧✛☛✍✠❆➒✍✯ëï❏✓✔➧✛☛➼✠❆➑✡☛✖➒☞☛➼✥➏✁✛✌✜✄➆➒✍✮❴✄✝☛✖➒❆➒❆✢✭➎✛☛▼✑❛✞✡☛✖✞✡☛✖➒✍✮

➒☞☛✖✄➆✢✭✆✟➑✡✁✛✌❆☛✖➒✍✮✤✢✛✕✗✩↔➒❆➑✗✢✭✌❆☛✖✩★✄✝☛✖✄✝✁✛✌❆→➞✢✭✌❆☛❳✞✗➒☞☛✖✩↔✥➏✁✛✌✏✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕➞➓✲☛✍✠✇➦✂☛✍☛✖✕

✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒✍✯❿✴❹✎❛✁✒✑❆➧✛☛✍✠❆➒■✢✭✌❆☛❿✠❆➑✡☛✏✄✝✁☎➒☞✠✂✑✘✁☎✄➆✄✝✁☎✕➁✥➏✁✛✌✜✄➫✁✛✥➍✓✪✕❼✠☞☛✍✌❆✆✗✌❆✁✒✑✘☛✖➒❆➒➂✑✘✁☎✄➆✄✚✞✒➢

✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕↔✢✛✑✘✌❆✁☎➒❆➒❿✩✗✓⑧➾✲☛✍✌❆☛✖✕❼✠✿➒☞→✒➒☞✠☞☛✖✄➆➒✍✯✷

◆✼❖◗P❙❘❍❚✷❚✶◆✦❯✲❘❲❱❨❳✡❘❍❳✡❘❍❚

➯❚✎✍✢✭✶✛✹✭➥➝➯✏✆✲☛✖✕ ÿ ✩✗✓✔✠❆✓✔✁☎✕➡➒☞☛✍✌❆✫✒✓✪✑✘☛✖➒➅✆✗✌❆✁✬✫✒✓✪✩✡☛✝✢↔➒☞☛✍✠➅✁✛✥❿ú✥❞✞✗✕✗✑✘✠❆✓✔✁☎✕✗➒✏✠❆➑✗✢✭✠❳✢✛✣✪✣✔✁✬➦

✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒❴✠☞✁➞✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠☞☛✝✠❆➑✡✌❆✁☎✞✡➎☎➑➡✁☎✕✡☛❍✁✛✌➅✄✝✁✛✌❆☛✝✄✝☛✖➒❆➒❆✢✭➎✛☛❩✑❛✞✡☛✖✞✡☛✖➒❴✓✪✕➝✢✛✕

✁✛✆✲☛✍✌✜✢✭✠❆✓✪✕✡➎✚➒☞→✒➒☞✠☞☛✖✄➞ù➒✂➧✛☛✍✌✜✕✡☛✖✣✰✯✡✽✆✗✌❆✁✒✑✘☛✖➒❆➒✂✑✍✢✛✕❭✑✘✌❆☛✖✢✭✠☞☛✛✮✡✌❆☛✖✢✛✩➔✥➏✌❆✁☎✄➞✮❛✁✛✌✂➦✿✌✜✓✔✠☞☛❿✠☞✁

✢➔✄✝☛✖➒❆➒❆✢✭➎✛☛✮✑❛✞✡☛✖✞✡☛✛✯ ÿ ✢✛✑✜➑➝✄✝☛✖➒❆➒❆✢✭➎✛☛❍✓✪➒❿✓✪✩✡☛✖✕❼✠❆✓⑧➲✟☛✖✩➞➦❿✓✔✠❆➑★✢➛ö✵✠✇→❛✆✲☛✖÷➔✕❛✞✗✄❳➓✲☛✍✌✖✮✟✢

(6)

➛✄✝☛✖➒❆➒❆✢✭➎✛☛✂✑✍✢✛✕❚➓✲☛✧✌❆☛✖✢✛✩➅✥➏✌❆✁☎✄➴✢✞✑❛✞✡☛✖✞✡☛❉➓✟✢✛➒☞☛✖✩➅✁☎✕❚✓✔✠❆➒➌✠✇→❛✆✲☛❉✌✜✢✭✠❆➑✡☛✍✌❏✠❆➑✗✢✛✕➅✁☎✕

✓✔✠❆➒❿✁✛✌✜✩✡☛✍✌❿✁✛✥❉✢✭✌❆✌✜✓✔✫✭✢✛✣✰✯■✦➡✞✗✣✔✠❆✓✔✆✟✣✔☛➅✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒✏✑✍✢✛✕➡➒❆➑✗✢✭✌❆☛❚✠❆➑✡☛✚➒❆✢✛✄✝☛❭✑❛✞✡☛✖✞✡☛✛✯✿Ú✡✁✛✌

☛✘↕✡✢✛✄✝✆✟✣✔☛✛✮✒✢✚➒☞☛✍✌❆✫✛☛✍✌✂✆✗✌❆✁✒✑✘☛✖➒❆➒✂✑✍✢✛✕➔➑✗✢✛✕✗✩✗✣✔☛❿✄✝☛✖➒❆➒❆✢✭➎✛☛✖➒✂✥➏✌❆✁☎✄ü✢❳✕❛✞✗✄❳➓✲☛✍✌➂✁✛✥➍✑✍✣✪✓✔☛✖✕❼✠

✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒❭✢✛✕✗✩✽✢✛➒❆➒☞✁✒✑✍✓✪✢✭✠☞☛➙✢➵✆✟✢✭✌❆✠❆✓✪✑✍✞✗✣✪✢✭✌➔✄✝☛✖➒❆➒❆✢✭➎✛☛➝✠✇→❛✆✲☛➡➦❿✓✔✠❆➑➽✢➵✆✟✢✭✌❆✠❆✓✪✑✍✞✗✣✪✢✭✌

✑✍✣✪✓✔☛✖✕❼✠■✆✗✌❆✁✒✑✘☛✖➒❆➒✍✯✂➯✏✌■✠❆➑✡☛❚✄✝☛✖➒❆➒❆✢✭➎✛☛➅✠✇→❛✆✲☛➅✑✍✢✛✕➞➓✲☛❴✞✗➒☞☛✖✩❭✠☞✁➆✢✛➒❆➒❆✓✔➎☎✕❭✢❍✆✗✌✜✓✔✁✛✌✜✓✔✠✇→➆✓✪✕

➦❿➑✗✓✪✑✜➑↔✢✝✄✝☛✖➒❆➒❆✢✭➎✛☛✚➒❆➑✡✁☎✞✗✣✪✩➔➓✲☛❚✩✡☛❆✑❛✞✡☛✖✞✡☛✖✩➞✢✛✕✗✩↔➑✗✢✛✕✗✩✗✣✔☛✖✩➌✯

❖❴❫❨❘❍❵❛◆✦❜✿❝✡❞✲❡✣❘❍❚

✎❛☛✖✄➆✢✭✆✟➑✡✁✛✌❆☛✖➒✍✮❿✞✗✕✗✣✪✓✔➧✛☛★✄✝☛✖➒❆➒❆✢✭➎✛☛❇✑❛✞✡☛✖✞✡☛✖➒➔✢✛✕✗✩➨✆✟✓✔✆✲☛✖➒✍✮✿✢✭✌❆☛➝✕✡✁✛✠❭✞✗➒☞☛✖✩➨✥➏✁✛✌❭☛✘↕❛➢

✑✜➑✗✢✛✕✡➎☎✓✪✕✡➎❍✩✗✢✭✠❆✢✒✮❛➓✟✞✡✠✂✢✛➒✂✢✚✄✝☛✖✢✛✕✗➒➂✁✛✥➍➒☞→✒✕✗✑✜➑✡✌❆✁☎✕✗✓✔➜✖✓✪✕✡➎❚✁✛✆✲☛✍✌✜✢✭✠❆✓✔✁☎✕✗➒➂✢✛✄✝✁☎✕✡➎✚✆✗✌❆✁✭➢

✑✘☛✖➒❆➒☞☛✖➒✍✯❢ü➒☞☛✖✄➆✢✭✆✟➑✡✁✛✌❆☛✝✫✭✢✛✣✪✞✡☛✝✓✪➒➅➒☞✠☞✁✛✌❆☛✖✩➼✓✪✕➝✠❆➑✡☛✝➧✛☛✍✌✜✕✡☛✖✣❉✢✛✕✗✩➝✠❆➑✡☛✖✕➼➒☞☛✍✠✍✮❏✌❆☛✖✢✛✩➌✮

✢✛✕✗✩➵✌❆☛✖➒☞☛✍✠❳➓❛→➼➒❆➑✗✢✭✌✜✓✪✕✡➎➞✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒✚✢✛✑✍✑✘✁✛✌✜✩✗✓✪✕✡➎★✠☞✁➝➒☞✁☎✄✝☛➔✩✡☛✘➲✤✕✡☛✖✩➵➒❆✑✜➑✡☛✖✄✝☛✛✯❴

➒☞☛✖✄➆✢✭✆✟➑✡✁✛✌❆☛❭✑✍✢✛✕➛➑✗✢✖✫✛☛➞✢★➒❆✓✪✕✡➎☎✣✔☛➆✫✭✢✛✣✪✞✡☛➁✁✛✌❍✢➡➒☞☛✍✠✚✁✛✥❊✫✭✢✛✣✪✞✡☛✖➒✍û✧☛✖✢✛✑✜➑ô✫✭✢✛✣✪✞✡☛➁✑✍✢✛✕

➓✲☛✏➓✟✓✪✕✗✢✭✌❆→★✴❞➥✚✁✛✌➅✳✬✷❉✁✛✌❊✢❍✣✪✢✭✌❆➎✛☛✍✌■✫✭✢✛✣✪✞✡☛✛✮✒✩✡☛✍✆✲☛✖✕✗✩✗✓✪✕✡➎❚✁☎✕➔✠❆➑✡☛➅✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕❼✠❆✢✭✠❆✓✔✁☎✕➌✯

Ú✡✁✛✌❳☛✖✢✛✑✜➑➙✫✭✢✛✣✪✞✡☛➆✓✪✕➝✢➞➒☞☛✍✠✍✮➍✠❆➑✡☛✝➧✛☛✍✌✜✕✡☛✖✣r➧✛☛✍☛✍✆✟➒➅✠☞✌✜✢✛✑❆➧➝✁✛✥✂✠❆➑✡☛❍✆✗✌❆✁✒✑✘☛✖➒❆➒❴➪ ➸ ✠❆➑✗✢✭✠

✩✗✓✪✩★✠❆➑✡☛✝✣✪✢✛➒☞✠❴✁✛✆✲☛✍✌✜✢✭✠❆✓✔✁☎✕➡✁☎✕➡✠❆➑✗✢✭✠➅✫✭✢✛✣✪✞✡☛✛✮✲✠❆➑✡☛✝✕❛✞✗✄❳➓✲☛✍✌✏✁✛✥➂✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒✏➦■✢✛✓✔✠❆✓✪✕✡➎

✥➏✁✛✌❴✠❆➑✡☛✚✫✭✢✛✣✪✞✡☛❳✠☞✁➞✓✪✕✗✑✘✌❆☛✖✢✛➒☞☛✛✮✲✢✛✕✗✩★✠❆➑✡☛❍✕❛✞✗✄❳➓✲☛✍✌✏✁✛✥✧✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒✏➦■✢✛✓✔✠❆✓✪✕✡➎➁✥➏✁✛✌❴✠❆➑✡☛

✫✭✢✛✣✪✞✡☛➅✠☞✁➆➓✲☛✖✑✘✁☎✄✝☛❳➥✒✯

➒☞☛✖✄➆✢✭✆✟➑✡✁✛✌❆☛➺✓✪➒➝✑✘✌❆☛✖✢✭✠☞☛✖✩➠✁✛✌➼✢✛✕➈☛✘↕✡✓✪➒☞✠❆✓✪✕✡➎✽✁☎✕✡☛➺✓✪➒➝✣✔✁✒✑✍✢✭✠☞☛✖✩➠➦❿✓✔✠❆➑ú✠❆➑✡☛

➒☞☛✖✄✝➎✛☛✍✠✬✴❹✷❍✥❞✞✗✕✗✑✘✠❆✓✔✁☎✕➌✯➺➟➂→❛✆✟✓✪✑✍✢✛✣❊✞✗➒☞☛✖➒➆✓✪✕✗✑✍✣✪✞✗✩✡☛➔✌❆☛✖➒☞✁☎✞✡✌✜✑✘☛↔✑✘✁☎✞✗✕❼✠❆✓✪✕✡➎✡✮➂➲✤✣✔☛➞✣✔✁✒✑❆➧❼➢

✓✪✕✡➎✡✮✗✢✛✕✗✩➞✠❆➑✡☛❳➒☞☛✍✌✜✓✪✢✛✣✪✓✔➜✖✢✭✠❆✓✔✁☎✕➔✁✛✥✧➒❆➑✗✢✭✌❆☛✖✩↔✄✝☛✖✄✝✁✛✌❆→✛✯

❣❍❖❤❫✐❝✡◆✦❡✣❘❍❥❦❵❛❘❍❵❛❞✲❡✺❧

✎✒➑✗✢✭✌❆☛✖✩✚✄✝☛✖✄✝✁✛✌❆→➅✆✗✌❆✁✬✫✒✓✪✩✡☛✖➒❏✢✛✕❳☛✘➻➔✑✍✓✔☛✖✕❼✠✸➦■✢✖→❳✥➏✁✛✌r✄✚✞✗✣✔✠❆✓✔✆✟✣✔☛✧✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒❏✠☞✁❴➒❆➑✗✢✭✌❆☛

✩✗✢✭✠❆✢❭✴➏✥➏✁✛✌➂☛✘↕✡✢✛✄✝✆✟✣✔☛✛✮❛✑✘✁☎✕❼✠☞✌❆✁☎✣✤✓✪✕✡✥➏✁✛✌✜✄➆✢✭✠❆✓✔✁☎✕✝✠❆➑✗✢✭✠✂✢✛✣✪✣✡✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒❉✌❆☛❆✑❛✞✗✓✔✌❆☛✿✢✛✑✍✑✘☛✖➒❆➒

✠☞✁❛✷✜✯✽✂✁☎✄➆✄✝✁☎✕✗✣✔→✛✮➂✠❆➑✡☛➞✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒➆✞✗➒☞☛↔➒☞☛✖✄➆✢✭✆✟➑✡✁✛✌❆☛✖➒✝✠☞✁➼✠❆✢✭➧✛☛↔✠❆✞✡✌✜✕✗➒❍➎✛☛✍✠☞✠❆✓✪✕✡➎

✢✛✑✍✑✘☛✖➒❆➒✏✠☞✁➁✠❆➑✡☛✚➒❆➑✗✢✭✌❆☛✖✩↔✄✝☛✖✄✝✁✛✌❆→✛✯❊Ú✡✁✛✌✏☛✘↕✡✢✛✄✝✆✟✣✔☛✛✮✤✢➆➒☞☛✍✌❆✫✛☛✍✌✏✆✗✌❆✁✒✑✘☛✖➒❆➒❿✑✍✢✛✕★✞✗➒☞☛❳✢

➒☞☛✖✄➆✢✭✆✟➑✡✁✛✌❆☛➆✠☞✁★✣✔✁✒✑❆➧➝✢↔➒❆➑✗✢✭✌❆☛✖✩➙✄✝☛✖✄✝✁✛✌❆→➝✢✭✌❆☛✖✢✒✮✸✠❆➑✡☛✖✕➼✞✡✆➌✩✗✢✭✠☞☛❍✠❆➑✡☛➁✢✭✌❆☛✖✢➞➦❿✓✔✠❆➑

✕✡☛✍➦ú✓✪✕✡✥➏✁✛✌✜✄➆✢✭✠❆✓✔✁☎✕➌✮✗✞✗➒☞☛❳✢➁➒☞☛✖✄➆✢✭✆✟➑✡✁✛✌❆☛❚✠☞✁➔✞✗✕✗✣✔✁✒✑❆➧➔✠❆➑✡☛✚➒❆➑✗✢✭✌❆☛✖✩↔✄✝☛✖✄✝✁✛✌❆→↔✢✭✌❆☛✖✢✒✮

✢✛✕✗✩➘✠❆➑✡☛✖✕➘✕✡✁✛✠❆✓✔✥➏→✽➒❆➑✗✢✭✌✜✓✪✕✡➎➛✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒✍✯ ÿ ✢✛✑✜➑P✑✍✣✪✓✔☛✖✕❼✠➞✆✗✌❆✁✒✑✘☛✖➒❆➒➞➒❆➑✗✢✭✌✜✓✪✕✡➎ô✠❆➑✡☛

✓✪✕✡✥➏✁✛✌✜✄➆✢✭✠❆✓✔✁☎✕➛✑✍✢✛✕➛✠❆➑✡☛✖✕➛✞✗➒☞☛❭✢➡➒☞☛✖✄➆✢✭✆✟➑✡✁✛✌❆☛➔✠☞✁➝✣✔✁✒✑❆➧➼✠❆➑✡☛❭✢✭✌❆☛✖✢✒✮❉✌❆☛✖✢✛✩ô✓✔✠✍✮✧✢✛✕✗✩

(7)

♠ ❅✽Ý✏èéèëê✝â✝á❆Þ✧ß✂ã➌á❆Ý✏â♦♥★å➌ß✿â❍ç✲æ➔Ý❿å✤ãq♣➨å➌Ý❊ã✲Ý❚Þ✧Ý✏à❆ç

➟✿➑✡☛➅✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕➔✠☞✌✜✢✛✕✗➒☞✆✲✁✛✌❆✠✂✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣✪➒✂➦❿✓✪✣✪✣✗➓✲☛✏☛✘↕✒☛✖✄✝✆✟✣✪✓⑧➲✟☛✖✩➔✞✗➒❆✓✪✕✡➎✚➒❆✞✗✑✜➑

➒❆✓✪➒☞✠☞☛✖✄➆➒✿✢✛➒sr✉t✇✈✹t■✢✛✕✗✩②①④③✷✈⑥⑤✭✯

➪✵➒❆✓✪➒❴✓✪➒❴✢➞➟❏✁❛✁☎✣✔➧✒✓✔✠❴✥➏✁✛✌➅➓✟✞✗✓✪✣✪✩✗✓✪✕✡➎➆✩✗✓✪➒☞✠☞✌✜✓✔➓✟✞✡✠☞☛✖✩➡✢✭✆✗✆✟✣✪✓✪✑✍✢✭✠❆✓✔✁☎✕✗➒✍✯❚➪✵➒❆✓✪➒✏➦■✢✛➒❚✩✡☛✘➢

✫✛☛✖✣✔✁✛✆✲☛✖✩➔✢✛➒➂✢❳ñ ➳ ➪⑦✂❿➢❹✁✛✌✜✓✔☛✖✕❼✠☞☛✖✩❭✩✗✓✪➒☞✠☞✌✜✓✔➓✟✞✡✠☞☛✖✩✚✆✗✌❆✁✛➎✛✌✜✢✛✄➆✄➆✓✪✕✡➎❚☛✖✕❼✫✒✓✔✌❆✁☎✕✗✄✝☛✖✕❼✠✍✮❛✢✛✣⑧➢

✠❆➑✡✁☎✞✡➎☎➑↔✠❆➑✡☛❚➒☞→✒➒☞✠☞☛✖✄ ➑✗✢✛➒✿✕✡✁✬➦P✄➆✓✔➎✛✌✜✢✭✠☞☛✖✩➞✠☞✁➁✢➆✕❛✞✗✄❳➓✲☛✍✌❊✁✛✥r✁✛✠❆➑✡☛✍✌✿✆✟✣✪✢✭✠☞✥➏✁✛✌✜✄➆➒✍✯

➪✵➒❆✓✪➒❴✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕❼✠❆➒❴➒☞☛✍✫✛☛✍✌✜✢✛✣r✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣❉✣✪✢✖→✛☛✍✌✜➒✍✮❏✞✗➒❆✓✪✕✡➎❭✢✛✕➙✢✭✌✜✑✜➑✗✓✔✠☞☛✖✑✘✠❆✞✡✌❆☛✝✠❆➑✗✢✭✠

✓✪➒✂➒☞✠❆✢✛✑❆➧✛☛✖✩➞➒☞✁☎✄✝☛✍➦❿➑✗✢✭✠■✣✪✓✔➧✛☛✿✠❆➑✡☛✏✁☎✕✡☛✖➒✂➒☞☛✍☛✖✕❭✓✪✕➁➟✏■➶⑧✢✬➪✵➶➵✁✛✌■✠❆➑✡☛➅➯❚✎❛➪❉✢✭✌✜✑✜➑✗✓✔✠☞☛✖✑❝➢

✠❆✞✡✌❆☛✛✯✂➟✿➑✡☛❚➑✗✓✔➎☎➑✡☛✖➒☞✠✿✣✪✢✖→✛☛✍✌❿✁✛✥r✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣✪➒✍✮✟✣✪✢✭➓✲☛✖✣✔☛✖✩✕⑨✲✌ ✥ ❁✼✵✡✮✤✓✪➒❊✑✘✁☎✕✗✑✘☛✍✌✜✕✡☛✖✩↔➦❿✓✔✠❆➑

➒❆✞✡✆✗✆✲✁✛✌❆✠❆✓✪✕✡➎↔✠❆➑✡☛❭✥❞✞✗✣✪✣❉✫✒✓✔✌❆✠❆✞✗✢✛✣✂➒☞→✒✕✗✑✜➑✡✌❆✁☎✕❼→➵✄✝✁✒✩✡☛✖✣✂✥➏✁✛✌✝✄✚✞✗✣✔✠❆✓✔✆✟✣✔☛➆➎✛✌❆✁☎✞✡✆✟➒✍✯➙➪▲✠❆➒

✁✬✫✛☛✍✌✜➑✡☛✖✢✛✩✗➒✏✢✭✌❆☛❳✢✛➒❊✥➏✁☎✣✪✣✔✁✬➦❿➒✍➷

➪▲✠★✢✛✩✗✩✗➒➞✁✛✌✜✩✡☛✍✌✜✓✪✕✡➎➹✓✪✕✡✥➏✁✛✌✜✄➆✢✭✠❆✓✔✁☎✕➘✠☞✁➽✄✝☛✖➒❆➒❆✢✭➎✛☛✖➒✍✮❳✞✗➒❆✓✪✕✡➎✡✮➅✑✍✢✛✣✪✣✔☛✖✩❶✵✣✖❷✔❹❸

✴✶✘✛✌❆✌❆✘✛❑✗⑨❷✘✛✵✺✧✏✖❍✴❺✧✶✸❻✔✗✘✛✌★✧✏☛❍✔

✌✛✯✸➟✿✓✪✄✝☛✖➒☞✠❆✢✛✄✝✆➁➒❆✓✔➜✍☛✿➎✛✌❆✁✬➦❿➒➂✓✪✕✝✆✗✌❆✁✛✆✲✁✛✌☞➢

✠❆✓✔✁☎✕➼✠☞✁★✠❆➑✡☛➔✕❛✞✗✄❳➓✲☛✍✌❚✁✛✥❊✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒❳✆✲☛✍✌✜✄➆✓✔✠☞✠☞☛✖✩➙✠☞✁➡➒☞☛✖✕✗✩➵✓✪✕➼✢↔✆✗✌❆✁✒✑✘☛✖➒❆➒

➎✛✌❆✁☎✞✡✆➍✮❉➦❿➑✗✓✪✑✜➑ô✓✪➒❍➎✛☛✖✕✡☛✍✌✜✢✛✣✪✣✔→➼➓✲☛✍✠✇➦✂☛✍☛✖✕P✳❭✢✛✕✗✩➹✶➝✓✪✕➛➪✵➒❆✓✪➒❍✢✭✆✗✆✟✣✪✓✪✑✍✢✭✠❆✓✔✁☎✕✗➒✍✮

➓✟✞✡✠❊✑✍✢✛✕↔✌✜✓✪➒☞☛❴✠☞✁❭✶✛õ✝✓✪✕➞✑✘☛✍✌❆✠❆✢✛✓✪✕➞✠✇→❛✆✲☛✖➒✿✁✛✥✸✆✟✢✭✌✜✢✛✣✪✣✔☛✖✣➌✑✘✁✒✩✡☛✖➒✍✯

➪▲✠✂✄➆✢✖→➁✩✡☛✖✣✪✢✖→➁✄✝☛✖➒❆➒❆✢✭➎✛☛✖➒✂✥➏✁✛✌■✢✭✠☞✁☎✄➆✓✪✑✍✓✔✠✇→➁✢✛✕✗✩➁✁✛✌✜✩✡☛✍✌✜✓✪✕✡➎❚✌❆☛✖✢✛➒☞✁☎✕✗➒✍✯❉➟✿➑✡☛✍✌❆☛

✢✭✌❆☛➔✢★✕❛✞✗✄❳➓✲☛✍✌❚✁✛✥❊✆✲✁☎➒❆➒❆✓✔➓✟✣✔☛✝✩✡☛✖✣✪✢✖→➼✑✘✁☎✕✗✩✗✓✔✠❆✓✔✁☎✕✗➒✍✯❭Ú✡✁✛✌❍☛✘↕✡✢✛✄✝✆✟✣✔☛✛✮✸✠☞✌✜✢✛✕✗➒✵➢

✄➆✓✪➒❆➒❆✓✔✁☎✕➼✁✛✥✏✢➝✄✝☛✖➒❆➒❆✢✭➎✛☛↔✄➆✢✖→➛➑✗✢✖✫✛☛❭✠☞✁➙➓✲☛❭✩✡☛✖✣✪✢✖→✛☛✖✩➺✞✗✕❼✠❆✓✪✣✂➒☞✁☎✄✝☛❭✁✛✠❆➑✡☛✍✌

✄✝☛✖➒❆➒❆✢✭➎✛☛➔➑✗✢✛➒❚➓✲☛✍☛✖✕➵➒☞☛✖✕❼✠✍✮r✢★✄✝☛✖➒❆➒❆✢✭➎✛☛➔✑✍✢✛✕➛✢✭✌❆✌✜✓✔✫✛☛➆➓✲☛✍✥➏✁✛✌❆☛➁➒☞✁☎✄✝☛➁✁✛✠❆➑✡☛✍✌

✄✝☛✖➒❆➒❆✢✭➎✛☛✿➒❆➑✡✁☎✞✗✣✪✩✚✆✗✌❆☛✖✑✘☛✖✩✡☛❊✓✔✠✍✮☎✠❆➑✡☛❊✩✡☛✖✣✪✓✔✫✛☛✍✌❆→❚✁✛✥✲✢❴✠☞✁✛✠❆✢✛✣✪✣✔→❳✁✛✌✜✩✡☛✍✌❆☛✖✩✝✄✚✞✗✣✔✠❆✓⑧➢

✑✍✢✛➒☞✠✂✄➆✢✖→➆✕✡☛✍☛✖✩➁✠☞✁❳➓✲☛❿✩✡☛✖✣✪✢✖→✛☛✖✩➔✞✗✕❼✠❆✓✪✣✒✠❆➑✡☛✏✩✡☛✖✣✪✓✔✫✛☛✍✌❆→✚✁✛✌✜✩✡☛✍✌✜✓✪✕✡➎❚✓✪➒❉➧✒✕✡✁✬➦❿✕➌✮

✢✛✕✗✩➞➒☞✁➆✥➏✁✛✌❆✠❆➑➌✯

⑩▼❼

➑✡☛✖✕✝✢❴✆✗✌❆✁✒✑✘☛✖➒❆➒r➎✛✌❆✁☎✞✡✆➆✄✝☛✖✄❳➓✲☛✍✌✜➒❆➑✗✓✔✆✚✑✜➑✗✢✛✕✡➎✛☛❿✓✪➒✸✁✒✑✍✑✍✞✡✌❆✌✜✓✪✕✡➎✡✮✛✠❆➑✗✓✪➒r✣✪✢✖→✛☛✍✌

☛✖✕✗➒❆✞✡✌❆☛✖➒✂✠❆➑✗✢✭✠■☛✖✢✛✑✜➑↔✄✝☛✖➒❆➒❆✢✭➎✛☛❚✓✪➒✂✩✡☛✖✣✪✓✔✫✛☛✍✌❆☛✖✩❭✢✭✠☞✁☎✄➆✓✪✑✍✢✛✣✪✣✔→✛✮✒➓✲☛✍✥➏✁✛✌❆☛❴✁✛✌❊✢✭✥➏✠☞☛✍✌

✠❆➑✡☛❚✄✝☛✖✄❳➓✲☛✍✌✜➒❆➑✗✓✔✆➞✑✜➑✗✢✛✕✡➎✛☛✛✮✤✢✭✠❿✢✛✣✪✣➌✄✝☛✖✄❳➓✲☛✍✌✜➒✍✯

ì✂☛✖✣✔✁✬➦ ✠❆➑✡☛↔✫✒✓✔✌❆✠❆✞✗✢✛✣❊➒☞→✒✕✗✑✜➑✡✌❆✁☎✕❼→ô✣✪✢✖→✛☛✍✌❭✓✪➒➆✢➼✄✚✞✗✣✔✠❆✓✪✑✍✢✛➒☞✠✝✠☞✌✜✢✛✕✗➒☞✆✲✁✛✌❆✠➆✣✪✢✖→✛☛✍✌✖✯

➟✿➑✗✓✪➒❿✣✪✢✖→✛☛✍✌❚➑✗✢✛➒✏✌❆☛✖➒☞✆✲✁☎✕✗➒❆✓✔➓✟✓✪✣✪✓✔✠✇→➆✥➏✁✛✌➅✩✡☛✖✣✪✓✔✫✛☛✍✌✜✓✪✕✡➎➁✄✝☛✖➒❆➒❆✢✭➎✛☛✖➒➅✓✪✕↔✠❆➑✡☛✚✁✛✌✜✩✡☛✍✌❴✠❆➑✡☛✍→

➦✂☛✍✌❆☛★➒☞☛✖✕❼✠➡✴➏✆✲✁☎✓✪✕❼✠✵➢❹✠☞✁✭➢❹✆✲✁☎✓✪✕❼✠✝✁✛✌✜✩✡☛✍✌✜✓✪✕✡➎➡✁☎✕✗✣✔→✗✷✜✮✂➦❿✓✔✠❆➑✡✁☎✞✡✠✝✣✔✁☎➒❆➒❍✁✛✌➁✩✗✞✡✆✟✣✪✓✪✑✍✢✭✠❆✓✔✁☎✕

✞✗✕✗✣✔☛✖➒❆➒✂✠❆➑✡☛❴➒☞☛✖✕✗✩✡☛✍✌■✥❞✢✛✓✪✣✪➒✍✯➂■✢✛✣✪✣✔➓✟✢✛✑❆➧✒➒✂✠☞✁✝✠❆➑✡☛❴✫✒✓✔✌❆✠❆✞✗✢✛✣✤➒☞→✒✕✗✑✜➑✡✌❆✁☎✕❼→➁✣✪✢✖→✛☛✍✌❊✌❆☛✍✆✲✁✛✌❆✠

✁☎✕➴➒❆✞✗✑✍✑✘☛✖➒❆➒☞✥❞✞✗✣➅✩✡☛✖✣✪✓✔✫✛☛✍✌❆→➨✁✛✥❍✢➺✄✝☛✖➒❆➒❆✢✭➎✛☛➼✠☞✁➨✓✔✠❆➒❭✌❆☛✖✄✝✁✛✠☞☛➵✩✡☛✖➒☞✠❆✓✪✕✗✢✭✠❆✓✔✁☎✕➌✯➐➟✿➑✡☛

(8)

⑩ ➟✿➑✡☛■ñ

➶➙✠☞✌✜✢✛✕✗➒☞✆✲✁✛✌❆✠✸✣✪✢✖→✛☛✍✌➂➒❆✞✡✆✗✆✲✁✛✌❆✠❆➒➍✆✲✁☎✓✪✕❼✠✵➢❹✠☞✁✭➢❹✆✲✁☎✓✪✕❼✠r✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕

✑✜➑✗✢✛✕✗✕✡☛✖✣✪➒❉✞✗➒❆✓✪✕✡➎➅✠❆➑✡☛✏ñ

➶➛✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣✸✴❞✞✗➒☞☛✍✌✂✩✗✢✭✠❆✢✭➎✛✌✜✢✛✄ü✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣➏✷✜✯❉➟✿➑✗✓✪➒

✣✪✢✖→✛☛✍✌❳✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕❼✠❆➒❿✌❆☛✖✣✪✓✪✢✭➓✟✓✪✣✪✓✔✠✇→➞✞✗➒❆✓✪✕✡➎❭✢❭➦❿✓✪✕✗✩✡✁✬➦✂☛✖✩➝✢✛✑❆➧✒✕✡✁✬➦❿✣✔☛✖✩✡➎✛☛✖✄✝☛✖✕❼✠

➒❆✑✜➑✡☛✖✄✝☛✛✮✂✄✚✞✗✑✜➑➺✢✛➒✝➟✏■➶➠✩✡✁❛☛✖➒❍✁✬✫✛☛✍✌➁✠❆➑✡☛❭➪✵➶➈✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣✰✯➵➪▲✥❿✆✗✌❆✁✒✑✘☛✖➒❆➒✚✆

➑✗✢✛➒➞✑✜➑✗✢✛✕✗✕✡☛✖✣✪➒❭✠☞✁➺✆✗✌❆✁✒✑✘☛✖➒❆➒◗❽ô✢✛✕✗✩▲❾✒✮❴✕✡✁✛✠❆✓✪✑✘☛➝✠❆➑✗✢✭✠↔✠❆➑✡☛➙✢✛✑✘✠❆✞✗✢✛✣❚ñ

✆✟✢✛✑❆➧✛☛✍✠❆➒✂✠☞✌✜✢✖✫✛☛✖✣✪✣✪✓✪✕✡➎❚✁✬✫✛☛✍✌■✠❆➑✡☛✖➒☞☛❿✌❆☛✖➒☞✆✲☛✖✑✘✠❆✓✔✫✛☛✏✑✜➑✗✢✛✕✗✕✡☛✖✣✪➒➂✄➆✢✖→✝➓✲☛✿✫✛☛✍✌❆→➆✩✗✓✔✥➢

✥➏☛✍✌❆☛✖✕❼✠✍✯➆➪✵➒❆✓✪➒➅➒❆✞✡✆✗✆✲✁✛✌❆✠❆➒✏✫✭✢✭✌✜✓✔✁☎✞✗➒❴✆✲✁☎✓✪✕❼✠✵➢❹✠☞✁✭➢❹✆✲✁☎✓✪✕❼✠❚✢✛✕✗✩➼ð❿➶■ú✑✘✁☎✄➆✄✚✞✗✕✗✓⑧➢

✑✍✢✭✠❆✓✔✁☎✕➆✄✝☛✖✑✜➑✗✢✛✕✗✓✪➒❆✄➆➒✍✮☎✢✛✕✗✩❿❽✏✢✛✕✗✩✮❾➅✄➆✢✖→❍✕✡✁✛✠✧➓✲☛❊✄✝☛✖✄❳➓✲☛✍✌✜➒r✁✛✥✤✠❆➑✡☛❊➒❆✢✛✄✝☛

➒☞☛✍✠✂✁✛✥❏✆✗✌❆✁✒✑✘☛✖➒❆➒✂➎✛✌❆✁☎✞✡✆➍✯➂✎✒✓✪✕✗✑✘☛❿✠❆➑✡☛❴✆✟✢✛✑❆➧✒✓✪✕✡➎❍✢✛✣✔➎✛✁✛✌✜✓✔✠❆➑✗✄➚➦❿✓✪✣✪✣✡➓✲☛❴✢✭✆✗✆✟✣✪✓✔☛✖✩

✠☞✁❳✠❆➑✡☛✏✢✭➎✛➎✛✌❆☛✍➎☎✢✭✠☞☛❴✠☞✌✜✢❶➻➔✑✿✥➏✌❆✁☎✄➁➀➔✠☞✁❭❽❚✢✛✕✗✩❩❾✒✮❼✠❆➑✡☛✿✆✟✢✛✑❆➧✛☛✍✠❊➒☞✠☞✌❆☛✖✢✛✄ü✞✗➒☞☛✖✩

✓✪✕❭☛✖✢✛✑✜➑★✑✍✢✛➒☞☛❳➦❿✓✪✣✪✣✤✩✗✓⑧➾✲☛✍✌✖✯

➟✿➑✡☛✂➪✵➶✧➢✇✄✚✞✗✣✔✠❆✓✪✑✍✢✛➒☞✠r✠☞✌✜✢✛✕✗➒☞✆✲✁✛✌❆✠r✣✪✢✖→✛☛✍✌✖✯r➪✵➶✧➢✇✄✚✞✗✣✔✠❆✓✪✑✍✢✛➒☞✠✧✓✪➒r➒❆✓✪✄➆✓✪✣✪✢✭✌❏✠☞✁❚ñ

➶✸✮

✓✪✕➁✠❆➑✗✢✭✠❊✓✔✠✂✆✗✌❆✁✬✫✒✓✪✩✡☛✖➒■✢✛✕➞✞✗✕✡✌❆☛✖✣✪✓✪✢✭➓✟✣✔☛✿✩✗✢✭✠❆✢✭➎✛✌✜✢✛✄❂✄✝☛✖✑✜➑✗✢✛✕✗✓✪➒❆✄➞✯✧➩❿✁✬➦✂☛✍✫✛☛✍✌✖✮

➦❿➑✡☛✍✌❆☛✖✢✛➒❭ñ ➸ ➶➣✁✛✆✲☛✍✌✜✢✭✠☞☛✖➒❭✁☎✕➘✢➛✆✲✁☎✓✪✕❼✠✵➢❹✠☞✁✭➢❹✆✲✁☎✓✪✕❼✠➔➓✟✢✛➒❆✓✪➒✍✮✿➪✵➶✧➢✇✄✚✞✗✣✔✠❆✓✪✑✍✢✛➒☞✠

➒❆✞✡✆✗✆✲✁✛✌❆✠❆➒❿➎✛✌❆✁☎✞✡✆➙✩✡☛✖➒☞✠❆✓✪✕✗✢✭✠❆✓✔✁☎✕➡✢✛✕✗✩➡✠❆➑✡☛✝✢✛➒❆➒☞✁✒✑✍✓✪✢✭✠☞☛✖✩➙✌❆✁☎✞✡✠❆✓✪✕✡➎➁✥❞✢✛✑✍✓✪✣✪✓✔✠❆✓✔☛✖➒✍✯

➪✵➶✧➢✇✄✚✞✗✣✔✠❆✓✪✑✍✢✛➒☞✠✚✓✪➒❍✕✡✁✛✠✚✌❆☛✖✣✪✓✪✢✭➓✟✣✔☛✛✮r➑✡☛✖✕✗✑✘☛❭✆✗✌❆✁✛✠☞✁✒✑✘✁☎✣■✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕❼✠❆➒❳✓✔✠❆➒✚✁✬➦❿✕

þ✟✁✬➦❊➢✇✑✘✁☎✕❼✠☞✌❆✁☎✣✸✢✛✕✗✩➞☛✍✌❆✌❆✁✛✌✏✑✘✁✛✌❆✌❆☛✖✑✘✠❆✓✔✁☎✕★✣✔✁✛➎☎✓✪✑✭✯ ➳ ✁✛✠❆✓✪✑✘☛❳✠❆➑✗✢✭✠❿✢✛✣✔✠❆➑✡✁☎✞✡➎☎➑↔➪✵➶✧➢

✄✚✞✗✣✔✠❆✓✪✑✍✢✛➒☞✠❴✁✭➾✲☛✍✌✜➒➅✢❭✌❆☛✖✩✗✞✗✑✘✠❆✓✔✁☎✕➝✓✪✕➝✠❆➑✡☛✝✕❛✞✗✄❳➓✲☛✍✌❴✁✛✥✂✆✟✢✛✑❆➧✛☛✍✠❆➒❳✕✡☛✍☛✖✩✡☛✖✩➝✠☞✁

➒☞☛✖✕✗✩➁✢❚➎☎✓✔✫✛☛✖✕➁✄✝☛✖➒❆➒❆✢✭➎✛☛✏✠☞✁❍✢❳➒☞☛✍✠➂✁✛✥➍✢❳✩✡☛✖➒☞✠❆✓✪✕✗✢✭✠❆✓✔✁☎✕✗➒✍✮☎✠❆➑✗✓✪➒➂✢✛➒❆➒❆✞✗✄✝☛✖➒❉✠❆➑✗✢✭✠

✓✪✩✡☛✖✕❼✠❆✓✪✑✍✢✛✣✲✆✟✢✛✑❆➧✛☛✍✠❆➒✏✄✚✞✗➒☞✠❊➓✲☛❚➒☞☛✖✕❼✠✿✠☞✁➆✠❆➑✡☛❳✩✡☛✖➒☞✠❆✓✪✕✗✢✭✠❆✓✔✁☎✕❭✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒✍✯

➘✠☞✌✜✢✛✕✗➒☞✆✲✁✛✌❆✠➂✣✪✢✖→✛☛✍✌✿✞✗➒❆✓✪✕✡➎❳➒❆➑✗✢✭✌❆☛✖✩➔✄✝☛✖✄✝✁✛✌❆→➆✥➏✁✛✌■✣✔✁✒✑✍✢✛✣✤✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕➌✯

➟✿➑✗✓✪➒■✣✪✢✖→✛☛✍✌❿✓✪➒■✆✟✣✪✢✛✕✗✕✡☛✖✩➔✥➏✁✛✌❊✠❆➑✡☛➅✥❞✞✡✠❆✞✡✌❆☛✛➷r➪✵➒❆✓✪➒❊✩✡✁❛☛✖➒❊✕✡✁✛✠✿✑✍✞✡✌❆✌❆☛✖✕❼✠❆✣✔→➁✁✛✆✗✠❆✓⑧➢

✄➆✓✔➜✍☛✚✥➏✁✛✌❚✣✔✁✒✑✍✢✛✣r✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕➌✮➌✢✛✣✔✠❆➑✡✁☎✞✡➎☎➑➡✠❆➑✡☛❍➎✛✌❆✁✬➦❿✓✪✕✡➎❭✢✖✫✭✢✛✓✪✣✪✢✭➓✟✓✪✣✪✓✔✠✇→

✁✛✥■➒❆➑✗✢✭✌❆☛✖✩➙✄✝☛✖✄✝✁✛✌❆→➝✓✪✕➝✄✝✁✒✩✡☛✍✌✜✕➝✁✛✆✲☛✍✌✜✢✭✠❆✓✪✕✡➎➞➒☞→✒➒☞✠☞☛✖✄➆➒❚✄➆✢✭➧✛☛✖➒❚✠❆➑✗✓✪➒❴✥➏☛✖✢❶➢

➒❆✓✔➓✟✣✔☛✛✯➂✏✕➨☛✘↕✒✠☞☛✖✕✗➒❆✓✔✁☎✕➽✁✛✥❚➪✵➒❆✓✪➒➆✠☞✁➺✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠☞☛➝➓✲☛✍✠✇➦✂☛✍☛✖✕➽✆✗✌❆✁✒✑✘☛✖➒❆➒☞☛✖➒

✁☎✕➞✠❆➑✡☛❚➒❆✢✛✄✝☛❚✄➆✢✛✑✜➑✗✓✪✕✡☛❚✞✗➒❆✓✪✕✡➎✝✢✝➒❆➑✗✢✭✌❆☛✖✩↔✄✝☛✖✄✝✁✛✌❆→➔✆✲✁❛✁☎✣✤➦✂✁☎✞✗✣✪✩❭➎✛✌❆☛✖✢✭✠❆✣✔→

☛✖✕✗➑✗✢✛✕✗✑✘☛➙✣✔✁✒✑✍✢✛✣✏✆✲☛✍✌❆✥➏✁✛✌✜✄➆✢✛✕✗✑✘☛✛✮❿✢✛➒❭➦✂☛✖✣✪✣❴✢✛➒❭✌❆☛✖✄✝✁✛✠☞☛➙✆✲☛✍✌❆✥➏✁✛✌✜✄➆✢✛✕✗✑✘☛➡✥➏✁✛✌

➎✛✌❆✁☎✞✡✆✟➒❊➑✗✢✖✫✒✓✪✕✡➎➆➒☞✁☎✄✝☛❳✣✔✁✒✑✍✢✛✣➍✩✡☛✖➒☞✠❆✓✪✕✗✢✭✠❆✓✔✁☎✕➌✯

P✠☞✌✜✢✛✕✗➒☞✆✲✁✛✌❆✠✿✣✪✢✖→✛☛✍✌❿✥➏✁✛✌❿✦➡✢✛✑✜➑↔➪✵➶■✏✯✗➟✿➑✗✓✪➒❊✣✪✢✖→✛☛✍✌✏✓✪➒■☛✘↕✒✆✲☛✍✌✜✓✪✄✝☛✖✕❼✠❆✢✛✣✰✯

➟✿➑✡☛✚✢✭➓✲✁✬✫✛☛➆✣✪✢✖→✛☛✍✌✜✓✪✕✡➎❭✓✪➒❴✞✗➒☞☛✖✩★➦❿➑✡☛✖✕➝✢✭✆✗✆✟✣✪✓✪✑✍✢✭✠❆✓✔✁☎✕↔✆✗✌❆✁✛➎✛✌✜✢✛✄➆➒❴✢✭✌❆☛✝✢✭➓✟✣✔☛✚✠☞✁

✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠☞☛➆✩✗✓✔✌❆☛✖✑✘✠❆✣✔→✛✯❳✦★✁☎➒☞✠➅➪✵➒❆✓✪➒❴✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕➙✓✪➒❴✩✗✓✔✌❆☛✖✑✘✠✝✴❞✑✍✢✛✣✪✣✔☛✖✩➘ö✵➓❛→❼➢

✆✟✢✛➒❆➒❆÷➙✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕✤✷✜✮■✢✛✕✗✩➺✢✛✣✔✠❆➑✡✁☎✞✡➎☎➑ô✠❆➑✡☛✍✌❆☛↔✢✭✌❆☛➞✁✛✠❆➑✡☛✍✌➁✑✘✁☎✄➆✄✚✞✗✕✗✓✪✑✍✢✭✠❆✓✔✁☎✕

Referências

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