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An algorithm of graph planarity testing and cross minimization

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

❇✗❅❩❯✟❯❬❍❭❉☞✿◆❉❪❍❭❉☞❫❴❁❴❊✳❉❪❅❩✿

❵■❛❝❜✍❞❢❡✷❛✷❣✝❤✏✐❢❜✘❣❥❡✷❣✭❞✳❦♠❧✗❜✘❣❥❡♥❞♣♦❩qP❛✷rs❞

t✈✉✤✇✜①✜②✍③☎④✖①

⑤⑦⑥☎⑧⑩⑨❆❶✹❷✖❶❢❸✜❹✏❶☎❹❋❸P⑨❺❸✜❻❥❼❽⑨✏❷✖❻♣❾✍❿✬❸✜❹❋❿✭⑧❸✜➀➁❾✬❻♣❾✬❻☎❸✚➂❪❾✬➃➄❶✹❷✖❹❺❼❋➃➄❸✜❻❥❼❆➅✪❹❋❾✬➃

❼❋⑥☎❸◆➆✬❹❽❷✖❶☎⑥➇❼❋⑥☎❸✜❾✬❹❋➈✬➉♠➂✜❷✖➊➊❸P➋♣➆✬❹❽❷✖❶☎⑥♣❶☎➊⑩❷✖❻✹❷✖❹❋⑧❼➌➈➍❼❋❸P⑨➌❼❋⑧❻☎➆✹➎➇➏♥❼➐➂❪❾✍❿✬❸✜❹❽⑨❩❼❋⑥☎❸

➅✪➑☎❻✹➋☎❷✖➃➄❸✜❻❥❼❽❷✖➊❱➂❪❾✬❻✹➂❪❸✜❶✛❼❽⑨❩❷✖❻✹➋➒⑧➃➄❶❢❾✬❹❺❼❽❷✖❻❥❼❈➀➓❾✬❹❋➔✝⑧❻→❼❋⑥☎⑧⑩⑨❈❷✖❹❋❸P❷☎➎➐➣❴➊⑩⑨❺❾◗❷

❻☎❸✜➀↔❷✖❶☎❶☎❹❋❾❥❷✬➂❽⑥♣⑧⑩⑨➄❶☎❹❋❸P⑨❺❸✜❻❥❼❋❸P➋✡➉♠➀✧⑥☎⑧⑩➂❽⑥★❼❋❸P⑨➌❼❽⑨✏⑧➅❩❷➍➆✬❹❽❷✖❶☎⑥♣⑧⑩⑨➄❶☎➊⑩❷✖❻✹❷✖❹✏⑧❻

➊⑧❻☎❸P❷✖❹↕❼❋⑧➃➄❸✈➙✏➛✪❻❢➜↕❷✖❻✹➋◗⑧❼❩➂✜❷✖❻◗➝❢❸➄➑✹⑨❺❸P➋■❼❋❾■➋✛❸❪❼❋❸✜❹❋➃➄⑧❻☎❸❆❼❋⑥☎❸✏➃➄⑧❻☎⑧➃❆➑☎➃

➂❪❹❋❾❥⑨❋⑨❺❸P⑨❱⑧❻✝❷➄➆✬❹❽❷✖❶☎⑥✚⑧➅✤⑧❼❴⑧⑩⑨❺❻✗➞❼❴❶☎➊⑩❷✖❻✹❷✖❹P➎

➟ ➠✗➡✏➢✤➤s➥✈➦◗➧■➨➓➢s➩❪➥✏➡

➫❈➭

☛■✆✟✣✪✢✛✕✗✢✭✌✜✓✔➯✖✢✭✠❪✓✔✁☎✕★✁✛✥❑✢➒➲✛✌✜✢✭✆

✓✪➳➄✢➒✆✗✌❪✁✛➵✟✣✔☛✖✄➺➸

✓✪✑

➸❑✢✛➳➐✢➇✩✡✁☎✄◗✢✛✓✪✕➻✁✛✥✂✓✪✕✒➼

✠☞☛✍✌❪☛✖➳☞✠➇✥✷✁✛✌♣✄◗✢✛✕✹➽➾➽✛☛✖✢✭✌✜➳➇✢✛✕✗✩➚➳☞✠❪✓✪✣✪✣✏✓✪➳✍✯➶➪✂➽➾✆✟✣✪✢✛✕✗✢✭✌✜✓✔➯✖✢✭✠❪✓✔✁☎✕➾➸✂☛➹✞✗✕✗✩✡☛✍✌✜➳☞✠❪✢✛✕✗✩

✌❪☛✍✆✗✌❪☛✖➳☞☛✖✕✹✠❪✢✭✠❪✓✔✁☎✕▲✁✛✥↕✢➍➲✛✌✜✢✭✆ ➭ ✓✪✕★➳❪✞✗✑ ➭ ✢➍➸❑✢✖➽★✠ ➭ ✢✭✠➐✢✛✕✹➽♣✠❺➸✂✁➇☛✖✩✡➲✛☛✖➳✍✮✤✥✷✌❪✁☎✄➺✠ ➭ ☛

☛✖✩✡➲✛☛◆➳☞☛✍✠❩✁✛✥⑦✠

☛✈➲✛✌✜✢✭✆

✮✗✩✡✁◗✕✡✁✛✠❈✑✘✌❪✁☎➳❪➳✍✯

➫❈➭ ☛✍✌❪☛✈✢✭✌❪☛✚✄◗✢✛✕✹➽➇✢✭✌❪☛✖✢✛➳❆➸ ➭ ☛✍✌❪☛✈➳☞✁☎✣✔✫✒✓✪✕✡➲✝✠ ➭ ☛✈➲✛✌✜✢✭✆ ➭ ✆✟✣✪✢✛✕✗✢✭✌✜✓✔➯✖✢✭✠❪✓✔✁☎✕→✆✗✌❪✁✛➵✡➼

✣✔☛✖✄➘✓✪➳❴✁✛✥♠✄◗✢✬➴☞✁✛✌❑✓✪✄✝✆✤✁✛✌❪✠❪✢✛✕✗✑✘☛✛✯

➫❈➭

☛❆✌❪☛✖➳☞☛✖✢✭✌✜✑

✓✪✕✝➲✛✌✜✢✭✆

✆✟✣✪✢✛✕✗✢✭✌✜✓✔➯✖✢✭✠❪✓✔✁☎✕◗➳☞✠❪✢✭✌❪✠❪➳

✥✷✌❪✁☎✄➷✠ ➭ ☛→➬➄➮⑦✎❢➱✚✆✗✌❪✁✒✩✗✞✗✑✘✠❪✓✔✁☎✕✃✠☞✁▲✠ ➭ ☛♣❐✏✦➻➮❬✩✗✓✪✢✭➲✛✌✜✢✛✄❒✌❪☛✍✆✗✌❪☛✖➳☞☛✖✕✹✠❪✢✭✠❪✓✔✁☎✕✗➳✝✢✛✕✗✩

❮ ✢✭✠❪✢✭➵✟✢✛➳☞☛ ❮ ☛✖➳❪✓✔➲☎✕s✯❆➱❋✥✧➸✂☛■✠❪✢✭❰✛☛■✠ ➭ ☛◆➬➄➮⑦✎❢➱❑✆✗✌❪✁✒✩✗✞✗✑✘✠❪✓✔✁☎✕→Ï➇✠ ➭ ☛◆☛✖✣✔☛✖✑✘✠☞✌✜✓✪✑✍✢✛✣➓✑✍✓✔✌☞➼

✑✍✞✗✓✔✠❪➳➐✢✭✌❪☛✝✆✟✞✡✠➐✢✛✞✡✠☞✁☎✄◗✢✭✠❪✓✪✑✍✢✛✣✪✣✔➽★✁☎✕▲✠

☛◗✄◗✓✪✑✘✌❪✁➇➳❪✑

☛✖✄✝☛◗✄◗✢✛✩✡☛■✥✷✌❪✁☎✄❭✓✪➳☞✁☎✣✪✢✭✠❪✓✪✕✡➲

✄◗✢✭✠☞☛✍✌✜✓✪✢✛✣✰✯➚➪✂☛✖✑✍✢✛✞✗➳☞☛★✠ ➭ ☛✖➳☞☛➻✑✍✓✔✌✜✑✍✞✗✓✔✠❪➳◗✢✭✌❪☛★✕✡✁✛✠➍✓✪➳☞✁☎✣✪✢✭✠☞☛✖✩Ð✥✷✌❪✁☎✄❖☛✖✢✛✑ ➭ ✁✛✠ ➭ ☛✍✌➒✓✔✠

✄✝☛✖✢✛✕✗➳→✠ ➭ ✢✭✠→✠ ➭ ☛✍➽➾✑✍✢✛✕✗✕✡✁✛✠➇✑✘✌❪✁☎➳❪➳✍✮❆✁✛✠ ➭ ☛✍✌❪➸❆✓✪➳☞☛➻✠ ➭ ☛▲✄◗✓✪✑✘✌❪✁Ñ➳❪✑ ➭ ☛✖✄✝☛▲➸❆✓✪✣✪✣❆✕✡✁✛✠

➸✂✁✛✌❪❰Ñ✆✗✌❪✁✛✆✤☛✍✌✜✣✔➽✛✯Ð✎❢✁Ò✠

☛★✕✡☛✘Ó✒✠◗Ô❢✞✡☛✖➳☞✠❪✓✔✁☎✕Õ✢✭✌✜✓✪➳☞☛✖➳◆Ï

✁✬➸Ö✠☞✁➹✆✟✞✡✠✝✑✍✓✔✌✜✑✍✞✗✓✔✠❪➳✝✓✪✕

➳❪✞✗✑

✢✝➸❑✢✖➽→✠

✢✭✠❩✠

☛✍➽➇✩✡✁◗✕✡✁✛✠❈✑✘✌❪✁☎➳❪➳P×♣Ø✏✕✗✩♣✓✔✥❱✠

☛✍✌❪☛✈✓✪➳❩✕✡✁◗➳☞✁☎✣✪✞✡✠❪✓✔✁☎✕→✠☞✁◗✠

✓✪➳✍✮

✠ ➭ ☛✖✕★✓✔✠✍Ù➳❈✕✡☛✖✑✘☛✖➳❪➳❪✢✭✌❪➽➒✠☞✁➍✩✡☛✍✠☞☛✍✌✜✄◗✓✪✕✡☛➐✠ ➭ ☛✈✄◗✓✪✕✗✓✪✄◆✞✗✄Ú✕❢✞✗✄✚➵✤☛✍✌❩✁✛✥✧✑✘✌❪✁☎➳❪➳☞☛✖➳✍✯

Û

(2)

ò óÖ➡■➥↕ô❀➡öõø÷❴ù✤➧✝ú❽➢✤ù

➫❈➭ ☛→û✟✌✜➳☞✠◗➳☞✠☞☛✍✆➾✓✪✕Ñ✠ ➭ ☛♣✆✟✣✪✢✛✕✗✢✭✌✝➲✛✌✜✢✭✆ ➭ ➳◆û✟☛✖✣✪✩Ñ➸❑✢✛➳➍✄◗✢✛✩✡☛➇➵❢➽Ñü↕✞✗✣✔☛✍✌◗✢✛✕✗✩ ➭ ☛

✩✡☛✘û✳✕✡☛✖✩➇✠

☛➐✥♥✞✗✕✗✩✗✢✛✄✝☛✖✕✹✠❪✢✛✣s✑✘✁☎✕✗✑✘☛✍✆✗✠✏✓✪✕Òý✬✽✭✴✛þ❢ÿ

✁✛✌◆✢♣➳❪✓✪✄✝✆✟✣✔☛✛✮♠✑✘✁☎✕✗✕✡☛✖✑✘✠☞☛✖✩✃✢✛✕✗✩Ò✆✟✣✪✢✛✕✗✢✭✌✈➲✛✌✜✢✭✆ ➭ ➸❆✓✔✠ ➭ ➬❆➼➌✫✛☛✍✌❪✠❪✓✪✑✘☛✖➳◆✢✛✕✗✩➹ü✧➼

☛✖✩✡➲✛☛✖➳❈✠

☛✈✥✷✁☎✣✪✣✔✁✬➸❆✓✪✕✡➲✝✑✘✁☎✕✗➳☞✠☞✌✜✢✛✓✪✕✹✠❪➳❈✢✭✌❪☛✈✠☞✌✜✞✡☛✂✁⑩ý☎✄➌ÿ

➫❈➭ ☛✍✁✛✌❪☛✖✄ ý✭ÿ❴➱❋✥✞✝✠✟➁✴■✠ ➭ ☛✖✕☛✡✌☞➁✴✎✍✑✏ þ

➫❈➭

☛✍✁✛✌❪☛✖✄➘✻❢ÿ⑦➱❋✥✒✝✓✟➁✴➐✢✛✕✗✩✝✠

☛✍✌❪☛❆✢✭✌❪☛✏✕✡✁✈✑✘➽✒✑✍✣✔☛✖➳❴➸❆✓✔✠

☛❆✣✔☛✖✕✡➲✛✠

➭✕✔ ✴❢✮

✠ ➭ ☛✖✕☛✡✓☞➁✻✎✍✑✏➹✶

Ø✏✕✡✁✛✠

☛✍✌✂✓✪✄✝✆✤✁✛✌❪✠❪✢✛✕✹✠↕➳☞✠☞☛✍✆→✓✪✕✝✠

☛❆➲✛✌✜✢✭✆

✆✟✣✪✢✛✕✗✢✭✌✜✓✔➯✖✢✭✠❪✓✔✁☎✕■û✟☛✖✣✪✩s✮☎➵✤☛✖✣✔✁☎✕✡➲☎➳❴✠☞✁

✠ ➭ ☛✚✆✤✁☎✣✪✓✪➳ ➭ ✄◗✢✭✠ ➭ ☛✖✄◗✢✭✠❪✓✪✑✍✓✪✢✛✕✗✖✈✢✭➯✖✓✪✄◗✓✔☛✍✌❪➯✘✖✈✞✡✌✜✢✭✠☞✁✬➸❆➳☞❰✒✓✰✮✗➸ ➭ ✓✪✑ ➭ ✆✗✌❪✁✬✫✛☛✖✩★✠ ➭ ✢✭✠❆✢

✕✡✁☎✕✒➼➌✆✟✣✪✢✛✕✗✢✭✌✝➲✛✌✜✢✭✆

✄◆✞✗➳☞✠✝✑✘✁☎✕✹✠❪✢✛✓✪✕Ð✢✭✠➍✣✔☛✖✢✛➳☞✠◗✢▲➲✛✌✜✢✭✆

➭Õ➭

✁☎✄✝☛✍✁☎✄✝✁✛✌❪✆

✠☞✁✚✙✂✛

✁✛✌✑✙✂✜☎✢✜★✵ ✓✔➲☎✞✡✌❪☛➒✻☎✺✜✮➓❰✒✕✡✁✬➸❆✕✃✢✛➳✈✠

☛✤✣✦✥★✧✪✩✬✫✮✭✰✯✲✱✴✳✎✵✷✶✱✚✸✒✹✻✺✼✭✰✧✼✺✾✽■✯

➫❈➭

☛✝✆✟✣✪✢✛✕✗✢✭✌

✌❪☛✍✆✗✌❪☛✖➳☞☛✖✕✹✠❪✢✭✠❪✓✔✁☎✕✃✁✛✥❆✢♣➲✛✌✜✢✭✆ ➭ ➳ ➭ ✁✬➸❆➳✚✠ ➭ ✢✭✠◆✢★➲✛✌✜✢✭✆ ➭ ✓✪➳✈✆✟✣✪✢✛✕✗✢✭✌✖✮➓✠ ➭ ☛➍✆✗✌❪☛✖➳☞☛✖✕✗✑✘☛

✁✛✥➓✢✑✖✈✞✡✌✜✢✭✠☞✁✬➸❆➳☞❰✒✓✤➳❪✞✡➵➒➲✛✌✜✢✭✆ ➭ ✵♥✢■➳❪✞✡➵➒➲✛✌✜✢✭✆ ➭→➭ ✁☎✄✝☛✍✁☎✄✝✁✛✌❪✆ ➭ ✓✪✑❈✠☞✁✿✙✂✛❆✁✛✌❀✙✂✜☎✢✜✖✺

✆✗✌❪✁✬✫✛☛✖➳❆✠

✢✭✠❈✢✝➲✛✌✜✢✭✆

✓✪➳❪✕sÙ✠❩✆✟✣✪✢✛✕✗✢✭✌✖✯

➫❈➭ ☛➐➲✛✌✜✢✭✆

✆✟✣✪✢✛✕✗✢✭✌✜✓✔➯✖✢✭✠❪✓✔✁☎✕➇✆✗✌❪✁✛➵✟✣✔☛✖✄ñ✢✭✆✗✆✤☛✖✢✭✌❪☛✖✩➇➽✛☛✖✢✭✌✜➳✏✢✭➲✛✁➒✢✛✕✗✩★✓✪➳❪✕sÙ✠❩➽✛☛✍✠

✌❪☛✖➳☞✁☎✣✔✫✛☛✖✩s✯ ✞✡✌❪✠ ➭ ☛✍✌➄✠ ➭ ☛■✄✝✁☎➳☞✠➄✓✪✄✝✆✤✁✛✌❪✠❪✢✛✕✹✠✏✌❪☛✖➳❪✞✗✣✔✠❪➳❆✓✪✕★➲✛☛✍✠☞✠❪✓✪✕✡➲➇✢➒➳☞✁☎✣✪✞✡✠❪✓✔✁☎✕★✥✷✁✛✌

✠ ➭ ✓✪➳❩✆✗✌❪✁✛➵✟✣✔☛✖✄ñ✢✭✌❪☛➐✆✗✌❪☛✖➳☞☛✖✕✹✠☞☛✖✩sÿ

➱❋✠✂✢✭✆✗✆✤☛✖✢✭✌✜➳↕✓✪✕♣ý❂❁✛þ✒ý✏➸❆✓✔✠

☛✏Ø✏✞✗➳❪✣✪✢✛✕✗✩✡☛✍✌↕✢✛✕✗✩✂❃⑦✢✭✌❪✠☞☛✍✌✘✁✻❄✄✤➸✂✁✛✌❪❰✳✯

➫❈➭ ☛✍➽

✢✭✌❪☛▲✠ ➭ ☛➻û✟✌✜➳☞✠➒➸ ➭ ✁Ñ✆✗✌❪✁✬✫✛☛✖✩➚✠ ➭ ✢✭✠➇✆✟✣✪✢✛✕✗✢✭✌✜✓✔✠❺➽Ð✠☞☛✖➳☞✠ ➭ ✢✛➳➇✢ ✆✤✁☎✣✔➽✒✕✡✁☎✄◗✓✪✢✛✣

✑✘✁☎✄✝✆✟✣✔☛✘Ó✡✓✔✠❺➽✛✮✳➸❆✓✔✠

✢✛✕★☛✘Ó✒☛✖✑✍✞✡✠❪✓✔✁☎✕★✠❪✓✪✄✝☛✚✁✛✥❆❅✝✵♥✕

✺❩➸

✓✪✑

✓✪➳❆➵❢➽➇✥♥✢✭✌➄✕✡✁✛✠

✢✛✕➇✁✛✆✗✠❪✓✪✄◗✢✛✣✤✁☎✕✡☛✛✯

✁☎✣✪✣✔✁✬➸✂☛✖✩❀ý✖✴➹➽✛☛✖✢✭✌✜➳→✁✛✥➐✠☞✌❪➽✒✓✪✕✡➲✃✠☞✁ ✌❪☛✖✩✗✞✗✑✘☛★✠

☛▲✑✘✁☎✄✝✆✟✣✔☛✘Ó✡✓✔✠❺➽✛✯✓❅➄✕✡☛★✁✛✥

☛➄➳❪✓✪✄✝✆✟✣✔☛✖➳☞✠↕✆✗✌❪✁✛✆✤✁☎➳☞☛✖✩➒✢✛✣✔➲✛✁✛✌✜✓✔✠

✄◗➳↕➸❑✢✛➳✂✠

☛➐✢✛✣✔➲✛✁✛✌✜✓✔✠

✄➘✆✗✌❪✁✛✆✤✁☎➳☞☛✖✩➍➵❢➽

❮ ☛✖✄✝✁☎✞✗✑✘✌❪✁☎✕s✮❴✦➻✢✛✣✔➲✛✌✜✢✛✕✡➲✛☛➇✢✛✕✗✩❇❃⑦✢✭✌❪✠❪✞✗✓✪➳☞☛✍✠✕✁✴❄✄➌✮❴➵✟✞✡✠◆✓✔✠❪➳■✑✘✁☎✄✝✆✟✣✔☛✘Ó✡✓✔✠❺➽✃✓✪➳

❅✝✵♥✕❉❈✖✺✜✯

Ø➺✌❪☛✖✣✪✢✭✠❪✓✔✫✛☛✖✣✔➽Ñ➳❪✓✪✄✝✆✟✣✔☛→✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄➇✮✂➸ ➭ ✓✪✑ ➭ ✢✭✆✗✆✤☛✖✢✭✌❪☛✖✩Õ✠☞✁➹➵✤☛➇✫✛☛✍✌❪➽

✞✗➳☞☛✍✥♥✞✗✣✡✣✪✢✭✠☞☛✍✌✖✮✹➸❑✢✛➳❴✆✗✌❪✁✛✆✤✁☎➳☞☛✖✩✝➵❢➽✝➮♠☛✖✄✝✆✤☛✖✣✰✮✹ü❴✫✛☛✖✕➍✢✛✕✗✩➒✂☛✖✩✡☛✍✌❪➵✟✢✛✞✗✄

(3)

❊ Ø✏✕Ò✓✪✄✝✆✤✁✛✌❪✠❪✢✛✕✹✠✏✌❪☛✖➳❪✞✗✣✔✠➄➸❑✢✛➳➄✁✛➵✗✠❪✢✛✓✪✕✡☛✖✩▲➵❢➽●❋❆✁✛✆s✑✘✌❪✁✛✥✷✠➐✢✛✕✗✩ ➫ ✢✭✌♥➴❪✢✛✕ ➸ ➭ ✁✈✆✗✌❪☛✖➳☞☛✖✕✹✠☞☛✖✩→✢✚✣✪✓✪✕✡☛✖✢✭✌✂✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄➶✥✷✁✛✌✂✆✟✣✪✢✛✕✗✢✭✌✜✓✔✠❺➽■✠☞☛✖➳☞✠❍✁✸❄✄➌✯ ➫❈➭ ✓✪➳

✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄ ➭ ✢✛➳➄✓✔✠❪➳➄✄◗✓✪✕❢✞✗➳☞☛✖➳✍ÿ❈✓✔✠✍Ù➳ ➭ ✢✭✌✜✩➻✠☞✁➇✞✗✕✗✩✡☛✍✌✜➳☞✠❪✢✛✕✗✩★✢✛✕✗✩▲✓✔✠✍Ù➳

➭ ✢✭✌✜✩✡☛✍✌⑦✠☞✁✈✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠⑦✓✔✠✧✓✪✕■✣✪✓✪✕✡☛✖✢✭✌➓✠❪✓✪✄✝☛✛✯❏■❆☛✍✫✛☛✍✌❪✠ ➭ ☛✖✣✔☛✖➳❪➳⑦✠ ➭ ☛❈✢✛✣✔➲✛✁✭➼ ✌✜✓✔✠ ➭ ✄ñ✩✡☛✍✠☞☛✍✌✜✄◗✓✪✕✡☛✖➳❈✓✔✥➓✢◗➲✛✌✜✢✭✆ ➭ ✓✪➳❩✆✟✣✪✢✛✕✗✢✭✌✖✮✒✠ ➭ ✁☎✞✡➲ ➭ ✩✡✁❢☛✖➳❈✕✡✁✛✠❩û✳✕✗✩ ✢■✆✟✣✪✢✛✕✗✢✭✌❈✌❪☛✍✆✗✌❪☛✖➳☞☛✖✕✹✠❪✢✭✠❪✓✔✁☎✕s✯ ✆ ➱❽✕✃ý❂❁☎✽✭þ➍✠❺➸✂✁→✓✪✕✗✩✡☛✍✆✤☛✖✕✗✩✡☛✖✕✹✠❩✌❪☛✖➳❪✞✗✣✔✠❪➳❆➳ ➭ ✁✬➸✂☛✖✩★✠ ➭ ✢✭✠✏✠ ➭ ☛◆✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄Ö✆✗✌❪✁✭➼ ✆✤✁☎➳☞☛✖✩➇➵❢➽♣➮♠☛✖✄✝✆✤☛✖✣✰✮✟ü❴✫✛☛✖✕★✢✛✕✗✩▲✂☛✖✩✡☛✍✌❪➵✟✢✛✞✗✄➇✮✟✑✍✢✛✕★➵✤☛✚✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠☞☛✖✩♣✓✪✕ ✢✝✣✪✓✪✕✡☛✖✢✭✌❩✠❪✓✪✄✝☛✑❅✝✵♥✕✳✺✜✯ ü❴✫✛☛✖✕➇✢✛✕✗✩ ➫ ✢✭✌♥➴❪✢✛✕❑✁þ❄✄♠✆✗✌❪✁✬✫✛☛✖✩➇✠ ➭ ✢✭✠❩✠ ➭ ☛✈✑✘✌✜✞✗✑✍✓✪✢✛✣✳☛✖✣✔☛✖✄✝☛✖✕✹✠❩✥✷✁✛✌❈✠ ➭ ☛ ✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄➇✮▲✱✾✫◆▼✪✭✰✧✪❖P✺✾✧P✮✳✑✍✢✛✕♣➵✤☛✚✑✘✁☎✄✝✆✟✞✡✠☞☛✖✩♣✓✪✕♣✣✪✓✪✕✡☛✖✢✭✌❩✠❪✓✪✄✝☛✛✯↕➪✂✁❢✁✛✠ ➭

✢✛✕✗✩◗➮❱✞✡☛✍❰✛☛✍✌◗✁✽❂✄✤✩✡☛✘û✳✕✡☛✖✩■✠ ➭ ☛❘❃❚❙❆➼➌✠☞✌❪☛✍☛✖➳↕✕✡✁✛✠❪✓✔✁☎✕✝➸❆✓✔✠ ➭ ➸ ➭ ✓✪✑ ➭ ➳☞✁☎✄✝☛

✁✛✥◆✠ ➭ ☛➹✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄❂✑✘✁☎✕✗✩✗✓✔✠❪✓✔✁☎✕✗➳→✑✍✢✛✕❬➵✤☛▲✠☞☛✖➳☞✠☞☛✖✩↔✓✪✕➚✣✪✓✪✕✡☛✖✢✭✌➇✠❪✓✪✄✝☛✛✯ ➫❈➭

☛→✌❪☛✖➳❪✞✗✣✔✠❪➳■✥✷✌❪✁☎✄❯✁✶✡✮þ❢✮✽❂✄✏✥✷✁✛✌✜✄❙✢➹✣✪✓✪✕✡☛✖✢✭✌■✆✟✣✪✢✛✕✗✢✭✌✜✓✔✠❺➽✃✠☞☛✖➳☞✠✍✯➾➪❑✞✡✠

✠ ➭ ☛✈✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄Ö✓✪➳❪✕sÙ✠❈➳☞✁➍➳❪✓✪✄✝✆✟✣✔☛✏➵✤☛✖✑✍✢✛✞✗➳☞☛✈✠ ➭ ☛✈✑✘✁☎✄✝✆✟✣✔☛✘Ó✡✓✔✠❺➽→✁✛✥✧✓✪✄■➼

✆✟✣✔☛✖✄✝☛✖✕✹✠❪✓✪✕✡➲☛❃❚❙❆➼➌✠☞✌❪☛✍☛✖➳◆✓✪➳ ➭ ✓✔➲ ➭ ✢✛✕✗✩➹✠ ➭ ✓✪➳✈✄◗✢✭❰✛☛✖➳◆✠ ➭ ☛➒✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄ ✁✛✥➓➲✛✌✜✢✭✆ ➭ ✆✟✣✪✢✛✕✗✢✭✌❩☛✖✄✚➵✤☛✖✩✗✩✗✓✪✕✡➲■✠☞✁ ➭ ✢✖✫✛☛✚✢✛✕●❱◗✵❳❲✒❈✖✺❑✑✘✁☎✄✝✆✟✣✔☛✘Ó✡✓✔✠❺➽✛✯ ✆

Ø❆✥✷✠☞☛✍✌✿❁➇➽✛☛✖✢✭✌✜➳◗ ➭ ✓✔➵✟✢→☛✍✠■✢✛✣❘✁ð❄✄❩➳ ➭ ✁✬➸✂☛✖✩✃✠ ➭ ☛→✄✝☛✍✠ ➭ ✁✒✩➹✁✛✥❑û✳✕✗✩✗✓✪✕✡➲➇✠ ➭ ☛

✆✟✣✪✢✛✕✗✢✭✌❆☛✖✄✚➵✤☛✖✩✗✩✗✓✪✕✡➲◗✁✛✥↕✢➒➲✛✌✜✢✭✆ ➭ ✓✪✕★✢→✣✪✓✪✕✡☛✖✢✭✌❆✠❪✓✪✄✝☛■✞✗➳❪✓✪✕✡➲◗✠ ➭ ☛■➮♠☛✖✄✝✆✤☛✖✣✰✮ ü❴✫✛☛✖✕♣✢✛✕✗✩➻✂☛✖✩✡☛✍✌❪➵✟✢✛✞✗✄ñ✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄➇✯ ✆ ➫❈➭ ☛➄➲✛✌✜✢✭✆ ➭ ✆✟✣✪✢✛✕✗✢✭✌✜✓✔✠❺➽◗✠☞☛✖➳☞✠❆✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄◗➳❑✌❪☛✍✫✒✓✔✫✛☛✖✩➇➸ ➭ ☛✖✕➇➳☞✁✛✥✷✠❺➸❑✢✭✌❪☛✚✑✘✁☎✄■➼

✆✟✢✛✕✗✓✔☛✖➳➓➳☞✠❪✢✭✌❪✠☞☛✖✩◆✠☞✁➄☛✖✣✪✢✭➵✤✁✛✌✜✢✭✠☞☛✂➲✛✌✜✢✭✆ ➭ ✣✪✓✔➵✗✌✜✢✭✌✜✓✔☛✖➳✍✯s➱❽✕➒ý❂❁✬❁✛þ➄✦★☛ ➭ ✣➭ ✁✛✌✜✕✚✢✛✕✗✩

✦➻✞✡✠☞➯✍☛✖✣➓✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠☞☛✖✩♣✠ ➭ ☛❨❋❆✁✛✆s✑✘✌❪✁✛✥✷✠✏✢✛✕✗✩ ➫ ✢✭✌♥➴❪✢✛✕➻✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄ ✢✛➳✏✆✟✢✭✌❪✠ ✁✛✥✧✠ ➭ ☛■➮❱ü ❮ Øø✆✗✌❪✁❥➴☞☛✖✑✘✠✍✯ ➫❈➭ ☛✍➽➇☛✘Ó✒✆✟✣✪✢✛✓✪✕✡☛✖✩ ➭ ✁✬➸❀✑✍✢✛✕▲✢➍✆✟✣✪✢✛✕✗✢✭✌❆☛✖✄✚➵✤☛✖✩✒➼

✩✗✓✪✕✡➲→✁✛✥❩✢➇➲✛✌✜✢✭✆ ➭ ✓✪✕Ò✣✪✓✪✕✡☛✖✢✭✌✈✠❪✓✪✄✝☛✝➵✤☛✝✁✛➵✗✠❪✢✛✓✪✕✡☛✖✩➹✞✗➳❪✓✪✕✡➲→✠ ➭ ✓✪➳✈✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄

✁❁❄✄➌✯ ✆ ➱❽✕➻ý❂❁✬❁✛þ ❮ ✓✤➪❑✢✭✠☞✠❪✓✪➳☞✠❪✢■✢✛✕✗✩ ➫ ✢✛✄◗✢✛➳❪➳❪✓✪✢◆✩✡☛✍✫✛☛✖✣✔✁✛✆✤☛✖✩➒✢✛✕➒✁☎✕✒➼❺✣✪✓✪✕✡☛❈✆✟✣✪✢✛✕✗✢✭✌✜✓✔✠❺➽

✠☞☛✖➳☞✠❆✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄❩✁⑩ý✍✼✎✄➌✯❑➱❋✠❆✑✘✁☎✕✗➳❪✓✪➳☞✠❪➳❩✁✛✥✧✢◗➳☞☛✍✌✜✓✔☛✖➳❩✁✛✥✧✄✝✁✒✩✗✓⑩û✳✑✍✢✭✠❪✓✔✁☎✕✗➳❑✠☞✁➍✠ ➭ ☛

➲✛✌✜✢✭✆ ➭ ✢✛✕✗✩→✠☞☛✖➳☞✠❪✓✪✕✡➲◗✠ ➭ ☛➐✁✛➵✗✠❪✢✛✓✪✕✡☛✖✩➇➲✛✌✜✢✭✆ ➭ ✯

(4)

✑✍✢✛✣✪✑✍✞✗✣✪✞✗➳✍✯

❭ ❪❴❫✂➢✤➤♠➩❛❵ ❜❝❫❩ù✳÷❴➦ ❞❆➤❡❫❣❢✿❤ ❢✝ú✼❫❈➡❨❫❩➤♠➩❽➢★✐ ➢✤÷❴ù✗➢❥❫❈ú✼❞❆➥❚❦

➤♠➩❽➢❡❤✿❧♥♠

ØÕ✠☞✌✜✞✗✣✔➽➄➳❪✓✪✄✝✆✟✣✔☛✧➲✛✌✜✢✭✆

✆✟✣✪✢✛✕✗✢✭✌✜✓✔✠❺➽➄✠☞☛✖➳☞✠⑦✢✛✣✔➲✛✁✛✌✜✓✔✠

✄❬➸

✓✪✑

✑✍✢✛✕✚➵✤☛↕☛✘Ó✒✆✟✣✪✢✛✓✪✕✡☛✖✩✈✓✪✕

✢✭✠✧✄✝✁☎➳☞✠❱✁☎✕✡☛❑✢✛✑✍✢✛✩✡☛✖✄◗✓✪✑

✁☎✞✡✌⑦✓✪➳♠➸❑✢✛✓✔✠❪✓✪✕✡➲❆✠☞✁✏➵✤☛↕✥✷✁☎✞✗✕✗✩s✯➓Ø❑✠➓✠

☛❑✄✝✁☎✄✝☛✖✕✹✠➓✠

☛✍✌❪☛

✢✭✌❪☛✈✠❺➸✂✁➍✁✛✆✗✠❪✓✔✁☎✕✗➳✍ÿ✧✠☞✁◗✥✷✁✛✌❪➲✛☛✍✠✏✣✪✓✪✕✡☛✖✢✭✌✜✓✔✠❺➽➒✢✛✕✗✩→✠☞✁➒✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠❑✠ ➭ ☛✈✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄ñ✁✛✥

❮ ☛✖✄✝✁☎✞✗✑✘✌❪✁☎✕ ☛✍✠◆✢✛✣✪✣❴✁✛✌◆✠☞✁➻✞✗➳☞☛➒✢✛✕✃☛✘Ó✡✓✪➳☞✠❪✓✪✕✡➲➇✆✟✢✛✑❪❰✭✢✭➲✛☛➹✵♥➮❱ü ❮ Øñ✥✷✁✛✌◆☛✘Ó✡✢✛✄✝✆✟✣✔☛❥✺

✓✪✑

➭♣➭

✢✛➳❈✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠☞☛✖✩→✠

☛✈✣✪✓✪✕✡☛✖✢✭✌❩✆✟✣✪✢✛✕✗✢✭✌✜✓✔✠❺➽➍✠☞☛✖➳☞✠❆✢✛✣✔➲✛✁✛✌✜✓✔✠

✄❩✁⑩ý✖✴❄✄➌✯

➪✂☛✖✣✔✁✬➸ ✠ ➭ ☛✈✕✡☛✍➸❬✢✭✆✗✆✗✌❪✁☎✢✛✑ ➭ ✁☎✕→✠☞☛✖➳☞✠❪✓✪✕✡➲✝✠ ➭ ☛➄✆✟✣✪✢✛✕✗✢✭✌✜✓✔✠❺➽◗✁✛✥➓✢■➲✛✌✜✢✭✆ ➭ ✓✪➳✂✆✗✌❪☛✘➼

➳☞☛✖✕✹✠☞☛✖✩s✯❑➱❋✠❆✓✪➳❩➵✟✢✛➳☞☛✖✩♣✁☎✕♣✌❪☛✍✆✗✌❪☛✖➳☞☛✖✕✹✠❪✓✪✕✡➲✝✠ ➭ ☛✈➲✛✌✜✢✭✆ ➭ ✞✗➳❪✓✪✕✡➲■✠ ➭ ☛✚✢✛✩❥➴❪✢✛✑✘☛✖✕✗✑✘➽♣✄◗✢❥➼

✠☞✌✜✓⑩Ó➒✢✛✕✗✩➍û✳✕✗✩✗✓✪✕✡➲✚➳❪✞✗✑

✫✛☛✍✌❪✠❪✓✪✑✘☛✖➳✈✵❳✍✰♦❋✮★✍❂♣❥✺❴✠

✢✭✠✂➵❢➽➒✩✡☛✖✣✔☛✍✠❪✓✪✕✡➲✚✠

☛➄☛✖✩✡➲✛☛✘q✷♦♣✛✮✒✠

➲✛✌✜✢✭✆ ➭ Ù➳❈✄◗✢✛✓✪✕♣➳☞✠☞✌✜✞✗✑✘✠❪✞✡✌❪☛➐➸❆✓✪✣✪✣✳✕✡✁✛✠❆✑ ➭ ✢✛✕✡➲✛☛✛✯

➫❈➭ ☛➐✢✛✩❥➴❪✢✛✑✘☛✖✕✗✑✘➽➇✄◗✢✭✠☞✌✜✓⑩Ó→✁✛✥⑦✢◗➳❪✓✪✄✝✆✟✣✔☛✏➲✛✌✜✢✭✆ ➭ ✓✪➳❩✢◗✄◗✢✭✠☞✌✜✓⑩Ó➒➸❆✓✔✠ ➭ ✌❪✁✬➸❆➳❈✢✛✕✗✩

✑✘✁☎✣✪✞✗✄◗✕✗➳◆✣✪✢✭➵✤☛✖✣✔☛✖✩✃➵❢➽➹➲✛✌✜✢✭✆

✫✛☛✍✌❪✠❪✓✪✑✘☛✖➳✍✮❴➸❆✓✔✠

✢Ñý➍✁✛✌◗✼➻✓✪✕✃✆✤✁☎➳❪✓✔✠❪✓✔✁☎✕➚✵❳✍✰♦❋✮✞✍❂♣✬✺

✢✛✑✍✑✘✁✛✌✜✩✗✓✪✕✡➲◗✠☞✁◗➸ ➭ ☛✍✠ ➭ ☛✍✌❣✍✰♦⑦✢✛✕✗✩✕✍❂♣✈✢✭✌❪☛✚✢✛✩❥➴❪✢✛✑✘☛✖✕✹✠❈✁✛✌✏✕✡✁✛✠✍✯❘✁⑩ý✘✶✰✄

✁✛✌➐☛✘Ó✡✢✛✄✝✆✟✣✔☛✚Ï★✥✷✁✛✌➐✠ ➭ ☛■➲✛✌✜✢✭✆ ➭ ✥✷✌❪✁☎✄➺✠ ➭ ☛ ✓✔➲☎✞✡✌❪☛→ý■➸✂☛■➸❆✓✪✣✪✣❱✁✛➵✗✠❪✢✛✓✪✕▲✠ ➭ ☛

✄◗✢✭✠☞✌✜✓⑩Ó→✥✷✌❪✁☎✄

✢✭➵✟✣✔☛◗ý✭✯

✓✔➲☎✞✡✌❪☛◗ý✭✯❚r✏✌✜✢✭✆ ➭ ü✧Ó✡✢✛✄✝✆✟✣✔☛

✌❪✁☎✄ ✠

☛❍✣✦✥★✧✪✩✬✫✮✭✰✯✲✱✴✳✎✵✷✶✱s✸✒✹✻✺✼✭✰✧✼✺✾✽Ö✓✔✠✍Ù➳↕❰✒✕✡✁✬➸❆✕➍✠

✢✭✠❑✢✚➲✛✌✜✢✭✆

➭➒➭

✢✛➳✂✢✚✆✟✣✪✢❥➼

✕✗✢✭✌◆☛✖✄✚➵✤☛✖✩✗✩✗✓✪✕✡➲♣✓✔✥❩✓✔✠✚✩✡✁❢☛✖➳❪✕sÙ✠◆✑✘✁☎✕✹✠❪✢✛✓✪✕ ➳❪✞✡➵✃➲✛✌✜✢✭✆ ➭ ➳ ➭ ✁☎✄✝☛✍✁☎✄✝✁✛✌❪✆ ➭ ✠☞✁t✙✂✜☎✢✜

✁✛✌✘✙✂✛❥✯

➫❈➭

☛◆✌❪☛✖➳☞✆✤☛✖✑✘✠❪✓✔✫✛☛■➲✛✌✜✢✭✆

➳✏✢✭✌❪☛■✆✗✌❪☛✖➳☞☛✖✕✹✠☞☛✖✩Ò✓✪✕ ✓✔➲☎✞✡✌❪☛✝✻➍✢✛✕✗✩➻✠

☛✖✓✔✌➐✢✛✩✒➼

➴❪✢✛✑✘☛✖✕✗✑✘➽♣✄◗✢✭✠☞✌✜✓⑩Ó→✓✪✕

(5)

✢✭➵✟✣✔☛◗ý✭✯

➫❈➭

☛✈✢✛✩❥➴❪✢✛✑✘☛✖✕✗✑✘➽➇✄◗✢✭✠☞✌✜✓⑩Ó→✁✛✥⑦✠

☛➐➲✛✌✜✢✭✆

✥✷✌❪✁☎✄ ✓✔➲☎✞✡✌❪☛◗ý

ý ✻ ✴ ✶ ✸ þ ✽

ý ➼ ✼ ✼ ý ✼ ý ý

✻ ✼ ➼ ✼ ý ý ✼ ý

✴ ✼ ✼ ➼ ý ✼ ý ý

✶ ý ý ý ➼ ✼ ✼ ✼

✸ ✼ ý ✼ ✼ ➼ ý ✼

þ ý ✼ ý ✼ ý ➼ ✼

✽ ý ý ý ✼ ✼ ✼ ➼

✓✔➲☎✞✡✌❪☛✈✻❢✯❆✙✂✜☎✢✜➄✢✛✕✗✩☛✙✂✛➄➲✛✌✜✢✭✆

✓✪✑✍✢✛✣✤✌❪☛✍✆✗✌❪☛✖➳☞☛✖✕✹✠❪✢✭✠❪✓✔✁☎✕s✯

✢✭➵✟✣✔☛✚✻❢✯✉✙✂✜☎✢✜➐✢✛✩❥➴❪✢✛✑✘☛✖✕✗✑✘➽➇✄◗✢✭✠☞✌✜✓⑩Ó✤✯

✙✂✜☎✢✜

ý ✻ ✴ ✶ ✸ þ

ý ➼ ✼ ✼ ý ý ý

✻ ✼ ➼ ✼ ý ý ý

✴ ✼ ✼ ➼ ý ý ý

✶ ý ý ý ➼ ✼ ✼

✸ ý ý ý ✼ ➼ ✼

(6)

✢✭➵✟✣✔☛✚✴❢✯✉✙✂✛➐✢✛✩❥➴❪✢✛✑✘☛✖✕✗✑✘➽➇✄◗✢✭✠☞✌✜✓⑩Ó✤✯

✙✂✛

ý ✻ ✴ ✶ ✸

ý ➼ ý ý ý ý

✻ ý ➼ ý ý ý

✴ ý ý ➼ ý ý

✶ ý ý ý ➼ ý

✸ ý ý ý ý ➼

✈✲✇②① ③s④✞⑤❇⑥⑧⑦✮⑨✒⑩✒❶P❷❹❸❺④✉❻❽❼✤⑩✒❶❺❾➀❿❆⑩➁❼❑➂

➃➄✫②✺②➅❇➆❺➇➈✸✒✹✻✺❨✩❺❖❛➉✷✩❺➊☎✺✾➋➄➊✷➌✂✽➈✩✬✫◆✧☎✵➎➍✤✵➏✱✑➊✴✭✰✽➐➅➄✥✻✫②✺✼❖

➃➄✫②✺②➅☛➑➒➇❆➓❚➔✵❳✽❨✵❳➋➄✩✬✫②✺◗✩✰➔❳➔❉✫❳✹★✭✎✱❂✺➐→✬✺✾✧✾✫◆✵❹➊☎✺☎✱❡➣☎✧✪✭✰✽↔✫❳✹✻✺❆↕✬✧✪✩✴➅➁✹➈✯✲✹P✵❹➊✾✹✂❖❺✭✦➋➄✭✬✫➀➊✾✹★✩✰➋➒↕➒✺

✵◆✫❳✱✘✽➈✩✰✵❳➋●✱✾✫◆✧☎✥❉➊❂✫◆✥★✧✼✺❂➙

➃➄✫②✺②➅✚➑➒➙❳➆❺➇❣➛✞✵❳➋➄❖✘➅✻✭✬✫②✺✾➋➁✫◆✵❹✩✰➔➀✫◆✧✪✩✰➋✻✱❳➣✷✭✰✧☎✽➈✩P➜✾➔➝✺✿→✬✺✾✧✾✫②✺✼➍P➙

ü↕✢✛✑ ➭ ✑✘✁☎✣✪✞✗✄◗✕➟➞Ò✁✛✥❈✠ ➭ ☛➒✄◗✢✭✠☞✌✜✓⑩Ó➹➸❆✓✪✣✪✣⑦➵✤☛➒✑✘✁☎✕✗➳❪✓✪✩✡☛✍✌❪☛✖✩✃✢✛➳■✢♣✫✛☛✖✑✘✠☞✁✛✌s✝❉➠

➸❆✓✔✠

✁✛✌✜✩✡☛✍✌❪☛✖✩➒✩✡☛✖➳❪✑✘☛✖✕✗✩✗✓✪✕✡➲◆✑✘✁☎✄✝✆✤✁☎✕✡☛✖✕✹✠❪➳❑☛✖✢✛✑

➭✤➡

☛✍✌❪☛◗➢ ♦➠❍➤❀ý■✵◆➢ ♦➠✚✓✪➳

✠ ➭ ☛✏☛✖✣✔☛✖✄✝☛✖✕✹✠❑✁✛✥♠✠ ➭ ☛➐✢✛✩❥➴❪✢✛✑✘☛✖✕✗✑✘➽➒✄◗✢✭✠☞✌✜✓⑩Ó✟✺✜✯ ✁✛✌❩☛✘Ó✡✢✛✄✝✆✟✣✔☛✏✠ ➭ ☛✏✫✛☛✖✑✘✠☞✁✛✌◗✝❉➥

✥✷✌❪✁☎✄ñ✠ ➭ ☛ ➫ ✢✭➵✟✣✔☛◗ý➐➸❆✓✪✣✪✣ ➭ ✢✖✫✛☛✈✠ ➭ ☛✈✥✷✁☎✣✪✣✔✁✬➸❆✓✪✕✡➲✝➳☞✠☞✌✜✞✗✑✘✠❪✞✡✌❪☛✛ÿ❆✝❉➥❂➤✿✁✸❢✮✴❢✮✪ý☎✄

➦➒➧➏➨★➩✌➫➭✑➯✑➲P➨✷➳❘➯❄➵❛➨☛➸

➺➻

✝✻♦➀➼❑✝➁➽

♦◆➾♣✪➚

➤➶➪Ð✵✷➸

☛✍✌❪☛✗➞➹➤❩✝

✁➘✰✄❨➴

✺◆✠

☛✖✕➷➞Õ✓✪➳✝✢▲✆✤✁✛✠☞☛✖✕✹✠❪✓✪✢✛✣

✠☞✌✜✢✛✕✗➳☞✥✷✁✛✌✜✄◗✢✭➵✟✣✔☛➄✠☞✁ ➡ ✫✛☛✍✌❪✠☞☛✘Ó✤✯

✁✛✌■☛✘Ó✡✢✛✄✝✆✟✣✔☛✛ÿ■✓✪✕

✢✭➵✟✣✔☛➻ý◗➸✂☛

✢✖✫✛☛✛ÿs✝❉➥❄➤✿✁✸❢✮✴❢✮✪ý☎✄❈✢✛✕✗✩➬✝❉✛❂➤✿✁þ❢✮✻❄✄❩✢✛✕✗✩

✝❉➥❉➼✘✝ ➽

➥✾➾➮❹➚

➤➱✝❉➥➁➼✘✝❉✛❣➤➱➪❢✯↕✎❢✁➐✫✛☛✍✌❪✠☞☛✘Ó➒✸➄✓✪➳❴✢➄✆✤✁✛✠☞☛✖✕✹✠❪✓✪✢✛✣✡✠☞✌✜✢✛✕✗➳☞✥✷✁✛✌✜✄◗✢✭➵✟✣✔☛

✠☞✁◗✫✛☛✍✌❪✠☞☛✘Ó★þ❢✯

➃➄✫②✺②➅✂➑➒➙➝➑s✃❐✹✻✺✼➊✾✳➐✵➣❆✫❳✹✻✺✒➅✻✭✬✫②✺✾➋➁✫◆✵❹✩✰➔✻✫◆✧✪✩✰➋✻✱❳➣✷✭✰✧☎✽➈✩P➜✾➔➝✺❣→✬✺✾✧✾✫②✺✼➍❘✳❘➊✴✩✰➋✤➜✴✺❚✫◆✧✪✩✰➋✻✱☎▼

➣✷✭✰✧☎✽✂✺✼❖s✵❳➋t✵❹➙

❐✏➳❪✓✪✕✡➲ ✠ ➭ ☛Ò✑✘✁☎✣✪✞✗✄◗✕✗➳✤❒➀♣➷➤❮✝P♣✰❰◗➘❝➤ ý✰Ï✪❲➶✑✘✁☎✄✝✆✤✁☎➳☞☛▲✠ ➭ ☛Ò☛✘Ó✒✆✟✢✛✕✗✩✡☛✖✩

✢✛✩❥➴❪✢✛✑✘☛✖✕✗✑✘➽♣✫✛☛✍✌❪✠☞☛✘Ó➻✣✪✓✪➳☞✠❪➳➐❒✉➠✝✢✛✕✗✩t❒✞♦❋✮✳✠❪✢✭❰✒✓✪✕✡➲➒✕✡✁➒✑✘✁☎✕✗➳❪✓✪✩✡☛✍✌✜✢✭✠❪✓✔✁☎✕★✠☞✁➒✠

☛✖✩✡➲✛☛✑q

➠✚➸

✓✪✑

✣✪✓✪✕✡❰✒➳✂✠

(7)

Ø✏✕➍☛✘Ó✒✆✟✢✛✕✗✩✡☛✖✩➒✢✛✩❥➴❪✢✛✑✘☛✖✕✗✑✘➽◗✫✛☛✍✌❪✠☞☛✘Ó→✣✪✓✪➳☞✠↕✓✪➳↕✠

☛✏✣✪✓✪➳☞✠↕✁✛✥♠✢✛✣✪✣✟✫✛☛✍✌❪✠❪✓✪✑✘☛✖➳✂➸

✓✪✑

✑✍✢✛✕➇➵✤☛✈✩✗✓✔✌❪☛✖✑✘✠❈✢✛✑✍✑✘☛✖➳❪➳☞☛✖✩➻✢✭✥✷✠☞☛✍✌❈✆✤✁✛✠☞☛✖✕✹✠❪✓✪✢✛✣s➲✛✌✜✢✭✆

✠☞✌✜✢✛✕✗➳☞✥✷✁✛✌✜✄◗✢✭✠❪✓✔✁☎✕s✯

☛✖✑❪❰→✌❪☛✖✑✍✞✡✌✜➳❪✓✔✫✛☛✖✣✔➽➒✓✔✥➓☛✖✣✔☛✖✄✝☛✖✕✹✠❪➳❈✥✷✌❪✁☎✄Ö✣✪✓✪➳☞✠❀❒✉➠◆✑✍✢✛✕♣➵✤☛➐✠☞✌✜✢✛✕✗➳☞✥✷✁✛✌✜✄✝☛✖✩♣✓✪✕

✢✭✠❈✣✔☛✖✢✛➳☞✠❈✁☎✕✡☛➐☛✖✣✔☛✖✄✝☛✖✕✹✠✚✵❹➞✤➴ ✔➷➡ ✺↕✁✛✥➓✠ ➭ ☛✈✣✪✓✪➳☞✠❀❒✞♦❋✯✧➱❋✥⑦✩✡✁❢☛✖➳❪✕sÙ✠❑☛✘Ó✡✓✪➳☞✠❈➳❪✞✗✑ ➭

✢✛✕➇☛✖✣✔☛✖✄✝☛✖✕✹✠❈✠ ➭ ☛✖✕➇✫✛☛✍✌❪✠☞☛✘Ó✗➞➇✓✪➳❑✠☞✌✜✢✛✕✗➳☞✥✷✁✛✌✜✄◗✢✭➵✟✣✔☛➐✠☞✁ ➡ ✯

✁✛✌➐☛✘Ó✡✢✛✄✝✆✟✣✔☛✛ÿ✏✓✪✕ ➫ ✢✭➵✟✣✔☛→ý◆➸✂☛ ➭ ✢✖✫✛☛➈❒✉✛❂➤✿✁þ❢✮✻❄✄✉❒✉➥❂➤✿✁✸❢✮✴❢✮✪ý☎✄➌✯✝✻➒✑✍✢✛✕✗✕✡✁✛✠

➵✤☛➄✠☞✌✜✢✛✕✗➳☞✥✷✁✛✌✜✄✝☛✖✩➇✓✪✕♣✴■✁✛✌✚ý➄➵✤☛✖✑✍✢✛✞✗➳☞☛➐✠

☛✍✌❪☛✚✓✪➳❩✕✡✁◗✑✘✁☎✕✗✕✡☛✖✑✘✠❪✓✔✁☎✕➇➵✤☛✍✠❺➸✂☛✍☛✖✕

✻➍✢✛✕✗✩▲✴◗✁✛✌✏➵✤☛✍✠❺➸✂☛✍☛✖✕Ò✻➍✢✛✕✗✩ ý✭✯✏➬✧☛✍✌❪✠☞☛✘ÓÒ✸➍✑✍✢✛✕✗✕✡✁✛✠✏➵✤☛✚✠☞✌✜✢✛✕✗➳☞✥✷✁✛✌✜✄✝☛✖✩➻✓✪✕

✻✈➵✤☛✖✑✍✢✛✞✗➳☞☛❍❒

➤✿✁✶✡✮✸❢✮✽❂✄➌✮✗✠ ➭ ☛✍✌❪☛➐✓✪➳✂✢■✑✘✁☎✕✗✕✡☛✖✑✘✠❪✓✔✁☎✕➒➵✤☛✍✠❺➸✂☛✍☛✖✕→✫✛☛✍✌❪✠☞☛✘Ó♣✸✚✢✛✕✗✩

✫✛☛✍✌❪✠☞☛✘Ó▲þ➍✢✛✕✗✩●✝❉➥❆➼✗✝❉✛❍➤Ð➪❢✯➄✎❢✁➒✫✛☛✍✌❪✠☞☛✘Ó▲✸◗✓✪➳❆✠☞✌✜✢✛✕✗➳☞✥✷✁✛✌✜✄◗✢✭➵✟✣✔☛✈✠☞✁➇þ◗✢✛✕✗✩

✕✡✁✛✠❩✠☞✌✜✢✛✕✗➳☞✥✷✁✛✌✜✄◗✢✭➵✟✣✔☛➐✠☞✁◗✫✛☛✍✌❪✠☞☛✘Ó★✻❢✯

➃➄✫②✺②➅✚➑➒➙➏Ñ✚✸✻✧✪✩✰➋✻✱❳➣✷✭✰✧☎✽Ò✽➈✩✬✫◆✧☎✵➎➍P➙

➱❋✥⑦✫✛☛✍✌❪✠☞☛✘Ó●➞♣✓✪➳❈✠☞✌✜✢✛✕✗➳☞✥✷✁✛✌✜✄◗✢✭➵✟✣✔☛➐✠☞✁

☛✖✕●✝✻♦✲➤Ó✝✻♦➁Ô✗✝❉➠☎✮✳✥✷✁✛✌❪➸❑✢✭✌✜✩♣✌❪☛✖✢✛✩

✑✘✁☎✣✪✞✗✄◗✕☛➞→✢✛➳❆✑✘✁☎✣✪✞✗✄◗✕ ➡ ✯

➃➄✫②✺②➅❬ÑP➇❝✸➄✺☎✱✾✫✦✵➣☛✫❳✹✻✺t✭P➜✷✫✮✩✰✵❳➋▲✺✼❖➬✩❺❖❛➉✷✩❺➊☎✺✾➋➄➊✷➌➟✽➈✩✬✫◆✧☎✵➎➍➬➊✴✭✰➋➁✫✮✩✰✵❳➋✻✱☛✱✾✫◆✧☎✥❉➊❂✫◆✥★✧✼✺☎✱t✭❛➣

✙✂✜☎✢✜➈✭✰✧✿✙✂✛✭✯

✎❢✠☞✌✜✞✗✑✘✠❪✞✡✌❪☛◗✁✛✥➐✙✂✜☎✢✜➍✢✭✌❪☛➒✆✗✌❪☛✖➳☞☛✖✕✹✠■✓✔✥❘Õ❉✝

➼⑧✝P♣❘➼✚✝❉➠

➤ ✴♣➸

☛✍✌❪☛

➘➈➴

➞✳✯

✎❢✠☞✌✜✞✗✑✘✠❪✞✡✌❪☛◗✁✛✥❣✙✂✛◗✢✭✌❪☛➍✆✗✌❪☛✖➳☞☛✖✕✹✠◆✓✔✥➐Õ✒Ö✝

Ö✲✟➘✶➻✢✛✕✗✩✃✑✘✁☎✄✝✆✤✁☎✕✡☛✖✕✹✠❪➳◆✢✭✌❪☛→✩✡☛✘➼

✆✤☛✖✕✗✩✡☛✖✕✹✠❩➸❆✓✔✠ ➭ ☛✖✢✛✑ ➭ ✁✛✠ ➭ ☛✍✌❆✢✛➳❈✠ ➭ ☛✘✙✂✛➐➳☞✠☞✌✜✞✗✑✘✠❪✞✡✌❪☛✈✢✛➳☞❰✒➳✍✯

✈✲✇❳× Øs⑩❐❻➹Ù❆⑦✮⑤✻Ú✞❷❹❸❂Û➱Ü❡Ý✉Þ✠ß★⑩✒❶❺❶❺⑤➁ß➒❸❺Ý✞⑤➁à✰à➒➂

✎❢✠☞☛✍✆ ý✭ÿ❈➱❽➳❈✑✘✁☎✕✗➳❪✓✪✩✡☛✍✌❪☛✖✩➇✢✛➳❆✓✪✕✡✆✟✞✡✠✍✯

✎❢✠☞☛✍✆▲✻❢ÿ

✎❢✠☞☛✍✆➻✻❢✯✪ý✭ÿ➐✂✁✛✌❪✌❪☛✖✑✘✠❪✕✡☛✖➳❪➳✤Ï➄✠

☛↕✫✛☛✍✌❪✠☞☛✘Ó❨➞➐✑✍✢✛✕✗✕✡✁✛✠❱➵✤☛❴✠☞✌✜✢✛✕✗➳☞✥✷✁✛✌✜✄✝☛✖✩✚✓✪✕✹✠☞✁❆✫✛☛✍✌❪✠☞☛✘Ó

✓✔✥❢✠

☛✍➽

✢✖✫✛☛✂✑✘✁☎✄◗✄✝✁☎✕✈☛✖✩✡➲✛☛✖➳✍✮❥➵✤☛✖✑✍✢✛✞✗➳☞☛↕✓✪✕➄✠

✓✪➳✤➸❑✢✖➽➐✓✪✕✡✥✷✁✛✌✜✄◗✢✭✠❪✓✔✁☎✕

✓✪➳❩✣✔✁☎➳☞✠❈✢✭➵✤✁☎✞✡✠❩✠ ➭ ☛✚✄◗✢✛✓✪✕→➲✛✌✜✢✭✆ ➭ ➳☞✠☞✌✜✞✗✑✘✠❪✞✡✌❪☛✛✯

✂✁☎✄✝✆✟✣✔☛✘Ó✡✓✔✠❺➽★ÏÒü↕✢✛✑

☛✖✩✡➲✛☛➒✁✛✥❩✠

☛➒➲✛✌✜✢✭✆

✓✪➳✚➳☞✠❪✞✗✩✗✓✔☛✖✩s✮➓✥✷✌❪✁☎✄❲✠

ü↕✞✗✣✔☛✍✌❩✠

☛✍✁✛✌❪☛✖✄❲✵❽ý✬✺✜✮✟✠

(8)

✎❢✠☞☛✍✆➻✻❢✯✻❢ÿ➐✂✁✛✌❪✌❪☛✖✑✘✠❪✕✡☛✖➳❪➳sÏ➄✠

☛↕✫✛☛✍✌❪✠☞☛✘Ó✚❰➐✑✍✢✛✕✗✕✡✁✛✠➓➵✤☛❴✠☞✌✜✢✛✕✗➳☞✥✷✁✛✌✜✄✝☛✖✩✚✓✪✕✹✠☞✁❆✫✛☛✍✌❪✠☞☛✘Ó

✓✔✥❢✠

☛✍➽

✢✖✫✛☛✂✑✘✁☎✄◗✄✝✁☎✕✈☛✖✩✡➲✛☛✖➳✍✮❥➵✤☛✖✑✍✢✛✞✗➳☞☛↕✓✪✕➄✠

✓✪➳✤➸❑✢✖➽➐✓✪✕✡✥✷✁✛✌✜✄◗✢✭✠❪✓✔✁☎✕

✓✪➳❩✣✔✁☎➳☞✠❈✢✭➵✤✁☎✞✡✠❩✠ ➭ ☛✚✄◗✢✛✓✪✕→➲✛✌✜✢✭✆ ➭ ➳☞✠☞✌✜✞✗✑✘✠❪✞✡✌❪☛✛✯

✂✁☎✄✝✆✟✣✔☛✘Ó✡✓✔✠❺➽ Ï➾✓✔✠✍Ù➳

✢✭✌✜✩➾✠☞✁Õ✢✭✆✗✆✗✌❪✁✖Ó✡✓✪✄◗✢✭✠☞☛

✁✬➸❭✄◗✢✛✕✹➽➾✆✤✁✛✠☞☛✖✕✒➼

✠❪✓✪✢✛✣✧✠☞✌✜✢✛✕✗➳☞✥✷✁✛✌✜✄◗✢✭➵✟✣✔☛◗✫✛☛✍✌❪✠❪✓✪✑✘☛✖➳◆✑✍✢✛✕➹➵✤☛➍✓✪✕➹✢♣➲✛✌✜✢✭✆ ➭ ✯➒➱❽✕Ò✠ ➭ ✓✪➳✚✑✍✢✛➳☞☛

➸✂☛✚✑✍✢✛✕♣➳❪✞✡✆✗✆✤✁☎➳☞☛➄✠ ➭ ✢✭✠❆✢✛✣✪✣♠✴✎❲☛✏ þ■✑✘✁☎✄✚➵✟✓✪✕✗✢✭✠❪✓✔✁☎✕✗➳❩✁✛✥➓✫✛☛✍✌❪✠❪✓✪✑✘☛✖➳❆✢✭✌❪☛

✆✤✁✛✠☞☛✖✕✹✠❪✓✪✢✛✣✏✠☞✌✜✢✛✕✗➳☞✥✷✁✛✌✜✄◗✢✭➵✟✣✔☛✛✯➘ü↕✢✛✑

✫✛☛✍✌❪✠☞☛✘Ó

✢✛➳➇✓✪✕➚✄✝☛✖✩✗✓✪✞✗✄ö✴✬➼➌✶

✑✘✁☎✄✚➵✟✓✪✕✗✢✭✠❪✓✔✁☎✕✗➳✍✯◆✎❢✁→✥✷✁✛✌➄û✳✕✗✩✗✓✪✕✡➲➍✠ ➭ ☛✝✢✛✕✗➳☞➸✂☛✍✌✈✓✔✥✧✠❺➸✂✁♣✫✛☛✍✌❪✠❪✓✪✑✘☛✖➳➐✢✭✌❪☛

✠☞✌✜✢✛✕✗➳☞✥✷✁✛✌✜✄◗✢✭➵✟✣✔☛✚✓✔✠❈➸❆✓✪✣✪✣✤➵✤☛◆✕✡☛✍☛✖✩✡☛✖✩★✄◗✢❥Ó✡✓✪✄◆✞✗✄Ö✶✦á✖✶➈➤➘ý✖þ◗✁✛✆✤☛✍✌✜✢❥➼

✠❪✓✔✁☎✕✗➳❑✠☞✁➍☛✖✢✛✑

✫✛☛✍✌❪✠☞☛✘Ó✤✯

✎❢✠☞☛✍✆➻✻❢✯✴❢ÿ➐✂✁✛✌❪✌❪☛✖✑✘✠❪✕✡☛✖➳❪➳✂Ï➒☛✍✫✒✓✪✩✡☛✖✕✹✠❩✥✷✌❪✁☎✄Ö➳☞✠☞☛✍✆✟➳❆✻❢✯✪ý✚✢✛✕✗✩♣✻❢✯✻❢✯

✂✁☎✄✝✆✟✣✔☛✘Ó✡✓✔✠❺➽✝Ï➒✥✷✁✛✌❈☛✖✢✛✑

✠☞✌✜✢✛✕✗➳☞✥✷✁✛✌✜✄◗✢✭➵✟✣✔☛➄✫✛☛✍✌❪✠☞☛✘Ó→➼✏ý➐✁✛✆✤☛✍✌✜✢✭✠❪✓✔✁☎✕s✯

✎❢✠☞☛✍✆▲✴❢ÿ➄✂✁✛✌❪✌❪☛✖✑✘✠❪✕✡☛✖➳❪➳✂Ï➒✆✟✞✡✌❪☛➐✢✭✆✗✆✟✣✪✓✪✑✍✢✭✠❪✓✔✁☎✕→✁✛✥➓✠

☛✦✖✈✞✡✌✜✢✭✠☞✁✬➸❆➳☞❰✒✓✰Ù➳

➫❈➭

☛✍✁✛✌❪☛✖✄➇✯

✂✁☎✄✝✆✟✣✔☛✘Ó✡✓✔✠❺➽➻ÏÒ✠ ➭ ☛➒✆✗✌❪☛✖➳☞☛✖✕✗✑✘☛➒✁✛✥➐✙✂✜☎✢✜➍✁✛✌✿✙✂✛➍✑✍✢✛✕Ñ➵✤☛➒✩✡✁☎✕✡☛→➳❪✓✪✄◆✞✗✣✔✠❪✢❥➼

✕✡☛✍✁☎✞✗➳❪✣✔➽➒✢✛✕✗✩➇✠

☛✚✑✘✁☎✄✝✆✟✣✔☛✘Ó✡✓✔✠❺➽→✁✛✥❱û✳✕✗✩✗✓✪✕✡➲■✠

☛✦✙✂✜☎✢✜➐✓✪➳❩➵✟✓✔➲✛➲✛☛✍✌❈➵✤☛✖✑✍✢✛✞✗➳☞☛

☛✍✌❪☛➇✓✪➳■✕✡✁➹✩✡☛✍✆✤☛✖✕✗✩✡☛✖✕✗✑✘➽Ò➵✤☛✍✠❺➸✂☛✍☛✖✕

✁✛✌✜✓✔➯✍✁☎✕✹✠❪✢✛✣❩✢✛✕✗✩Ñ✫✛☛✍✌❪✠❪✓✪✑✍✢✛✣❑✫✭✢✛✣✪✞✡☛✖➳✍✯

✁✛✌✝û✳✕✗✩✗✓✪✕✡➲➻✠

☛☛✙✂✜☎✢✜❥✮↕☛✖✢✛✑

✫✛☛✍✌❪✠☞☛✘ÓÐ✑✘✁☎✣✪✞✗✄◗✕Ñ➸

✓✪✑

➭Ñ➭

✢✛➳➍✴➻✁✛✌➍✄✝✁✛✌❪☛

☛✖✩✡➲✛☛✖➳✂✄◆✞✗➳☞✠❴➵✤☛❈✑ ➭ ☛✖✑❪❰✛☛✖✩s✯↕➱❽✕✝✠ ➭ ☛❆➸✂✁✛✌✜➳☞✠↕✑✍✢✛➳☞☛✏✠ ➭ ☛✍✌❪☛❈➸❆✓✪✣✪✣✒➵✤☛❆✻❏á✘✵✰✴✎❲✦✏➇þ☎✺

✁✛✆✤☛✍✌✜✢✭✠❪✓✔✁☎✕✗➳✍✯

✁✛✠❪✢✛✣♠Ø✏✣✔➲✛✁✛✌✜✓✔✠

✄Òâ✑ã➄ä❑å✲æ❳çPè❐é➏ê☎ë➹ì➇✲➄í✻î❡ï✬✱✟✱Pð

➫❈➭ ☛❑➲✛✌✜✢✭✆

✄◆✞✗➳☞✠⑦➵✤☛❩➳❪✓✪✄✝✆✟✣✔☛❑✢✛✕✗✩✝✑✘✁☎✕✗✕✡☛✖✑✘✠☞☛✖✩s✮✹✁✛✠

☛✍✌❪➸❆✓✪➳☞☛❑✠

☛❈✑✘✁☎✄✝✆✟✣✔☛✘Ó✡✓✔✠❺➽

➸❆✓✪✣✪✣❴➵✤☛➒✄✝✁✒✩✗✓⑩û✟☛✖✩✃✢✛✕✗✩ ➳☞✁☎✄✝☛→➳❪✄◗✢✛✣✪✣✂✄✝✁✒✩✗✓⑩û✳✑✍✢✭✠❪✓✔✁☎✕✗➳✈✠☞✁Ò✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄❒✄◆✞✗➳☞✠✚➵✤☛

✄◗✢✛✩✡☛✛✯

ñ ò ➥✏➡■➨❴ú✜➧■ù✤➩❪➥✏➡■ùÐ❫❈➡■➦ôó✝➧✚➢s➧■➤s÷Úô➚➥❆➤❡õ✂♠

➫❈➭ ✓✪➳❩✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄ñ✑✍✢✛✕★✢✛✣✪➳☞✁✝➵✤☛✈✓✪✄✝✆✟✣✔☛✖✄✝☛✖✕✹✠☞☛✖✩sÿ

✢✭✠✂✩✡☛✍✠☞☛✍✌✜✄◗✓✪✕✗✓✪✕✡➲➐✓✔✥✤✢➐➲✛✌✜✢✭✆

➭✤ö

✑✘✁☎✕✹✠❪✢✛✓✪✕✗➳✂✢

✁☎✄✝☛✍✁☎✄✝✁✛✌❪✆

➳❪✞✡➵✗➲✛✌✜✢✭✆

❮ ✯

➫❈➭

☛➐➳☞✠☞☛✍✆➻✴◆➸❆✓✪✣✪✣✟✑✘✁☎✕✗➳❪✓✪➳☞✠❩✁✛✥♠û✳✕✗✩✗✓✪✕✡➲✚✠

☛✈➳☞✠☞✌✜✞✗✑✘✠❪✞✡✌❪☛➄✁✛✥➓✠

☛➄➲✛✌✜✢✭✆

(9)

✢✭✠✝✩✡☛✍✠☞☛✍✌✜✄◗✓✪✕✗✓✪✕✡➲➻✄◗✓✪✕✗✓✪✄◆✞✗✄ ✕❢✞✗✄✚➵✤☛✍✌■✁✛✥❆✑✘✌❪✁☎➳❪➳☞☛✖➳✝✓✔✥❈✠

☛→➲✛✌✜✢✭✆

✓✪➳■✕✡✁✛✠

✆✟✣✪✢✛✕✗✢✭✌✖✯

➫❈➭

☛▲✕❢✞✗✄✚➵✤☛✍✌➒✁✛✥✚✑✘✌❪✁☎➳❪➳☞☛✖➳→☛✖Ô❢✞✗✢✛✣✪➳➒✠☞✁Ñ✠

☛➻✠☞✁✛✠❪✢✛✣✈✕❢✞✗✄✚➵✤☛✍✌➒✁✛✥

✓✪✕✗✩✡☛✍✆✤☛✖✕✗✩✡☛✖✕✹✠❘✙✂✜☎✢✜◆✁✛✌✦✙✂✛✝➳☞✠☞✌✜✞✗✑✘✠❪✞✡✌❪☛■✥✷✁☎✞✗✕✗✩▲✓✪✕▲✠ ➭ ☛➒✎❢✠☞☛✍✆✃✴❢✯★✵✷➱❋✥❆✡Ò✟

✴✎✍✑✏ þ◆✠

☛✖✕➇✠

☛✚✢✛✣✔➲✛✁✛✌✜✓✔✠

✄ñ✑✘✁☎✄✝✆✟✣✔☛✘Ó✡✓✔✠❺➽→➸❆✓✪✣✪✣✳✑

✢✛✕✡➲✛☛❥✺✜✯

➫❈➭ ☛➐✢✛✣✔➲✛✁✛✌✜✓✔✠ ➭ ✄Ö✩✡✁❢☛✖➳❈✕✡✁✛✠❆➳☞✁☎✣✔✫✛☛➐✠ ➭ ☛✈✆✟✣✪✢✛✕✗✢✭✌❩☛✖✄✚➵✤☛✖✩✗✩✗✓✪✕✡➲◆✆✗✌❪✁✛➵✟✣✔☛✖✄➇✯

õø÷✞ø✖÷❴➤s÷↕➡■➨✧÷❴ù

✁⑩ý☎✄ ➭ ✠☞✠☞✆♠ÿù✬ù✬☛✖✕s✯➸❆✓✔❰✒✓✔✆✤☛✖✩✗✓✪✢✒✯✁✛✌❪➲➒ù✬➸❆✓✔❰✒✓❳ù✎✖✈✞✡✌✜✢✭✠☞✁✬➸❆➳☞❰✒✓❳ú✝✻☎✽❥➳ ✠ ➭ ☛✍✁✛✌❪☛✖✄

✁✻❄✄◆➮❴✯☎Ø✏✞✗➳❪✣✪✢✛✕✗✩✡☛✍✌❴✢✛✕✗✩➍✎✳✯✛➬◆✯❺❃⑦✢✭✌❪✠☞☛✍✌✖✯❐û❚➋s✵❳✽✂➜✴✺✼❖❺❖✰✵❳➋➒↕✘↕✬✧✪✩✴➅➁✹❺✱❘✵❳➋✤✫❳✹✻✺➐✱✮➅➁✹✻✺✾✧✼✺❂➙

✙✛✁☎✞✡✌✜✕✗✢✛✣➓✁✛✥✂✦➻✢✭✠

☛✖✄◗✢✭✠❪✓✪✑✍➳✈✢✛✕✗✩Ò✦★☛✖✑

✢✛✕✗✓✪✑✍➳✍✮s➬✧✁☎✣✰✯❴ý✍✼✒✮❐■❆✁✡✯❱✴❢✮♠✆✗✆♠✯s✸✒ý✬✽✍Ï

✸✛✻✛✴❢✮➓ý❂❁✛þ✒ý✭✯

✁✴❄✄✿r◆✯ ❮ ☛✖✄✝✁☎✞✗✑✘✌❪✁☎✕s✮ýü■✯❬✦➻✢✛✣✔➲✛✌✜✢✛✕✡➲✛☛✛✮➺✢✛✕✗✩ÿþ✈✯➱❃➓☛✍✌❪✠❪✞✗✓✪➳☞☛✍✠✍✯✁❚✧✪✩✴➅➁✹✻✺☎✱

➅➄➔➎✩✰➋➄✩✰✵❳✧✼✺☎✱✷➇ ✧✼✺✼➊✴✭✰➋❉➋➄✩✰✵➏✱Ó✱✷✩✰➋➄➊☎✺✌✺✷✫➬➊✴✭✰➋✻✱✾✫◆✧☎✥❉➊❂✫◆✵❹✭✰➋ ❖P✺Ó✧✼✺②➅➄✧✼✺☎✱❂✺✾➋➁✫✮✩✬✫◆✵❹✭✰➋✻✱

➅➄➔➎✩✰➋➄✩✰✵❳✧✼✺☎✱❑➅✻✭✰➔➎✭✼↕✬✵✄✂✷✥➁✺☎✱✷➙➈þ❈☛✍✫✳✯ ✌✜✢✛✕✗✑✍✢✛✓✪➳☞☛➱þ❈☛✖✑ ➭ ☛✍✌✜✑ ➭ ☛❬❅✏✆✤☛✍✌✜✢✭✠❪✓✔✁☎✕✗✕✡☛✖✣✪✣✔☛✛✮

✫✛✁☎✣✰✯✳✴✭✼✒✮✗✆✗✆♠✯✟✴✛✴✖Ï✹✶❢✽✹✮⑦ý❂❁✛þ❥✶✡✯

✁✶✰✄◆Ø✚✯✛➮♠☛✖✄✝✆✤☛✖✣✰✮✹✎✳✯✭ü❴✫✛☛✖✕s✮✹✢✛✕✗✩◆➱P✯☎✂☛✖✩✡☛✍✌❪➵✟✢✛✞✗✄➇✮✆☎❘➋✤✩✰➔↕P✭✰✧☎✵◆✫❳✹P✽➹➣✷✭✰✧➀➅➄➔➎✩✰➋➄✩✰✧☎✵◆✫◆➌

✫②✺☎✱✾✫◆✵❳➋➒↕☛✭❛➣◗↕✬✧✪✩✴➅➁✹❺✱✞✝⑦✓✪✕✗❃❴✌❪✁✒✑✭✯ ➫❈➭ ☛✍✁✛✌❪➽➇✁✛✥❆r✏✌✜✢✭✆ ➭ ➳✠✟➁➱❽✕✹✠✍✯✤✎❢➽✒✄✝✆♠✯✔✮➁þ❈✁☎✄✝☛✛✮

➱❋✠❪✢✛✣✔➽✛✮✳✙☎✞✗✣✔➽➻ý❂❁✛þ✛þ❢✮✟✆✗✆♠✯✟✻✒ý✖✸✖Ï✒✻✛✴✛✻❢✯

✁✸❄✄■✙✡✯✹ü❈✯➒❋❆✁✛✆s✑✘✌❪✁✛✥✷✠↕✢✛✕✗✩✂þ✈✯✹ü❈✯

✢✭✌♥➴❪✢✛✕s✯✻➓☛✡ ➊✷✵✮✺✾➋➁✫✻➅➄➔➎✩✰➋➄✩✰✧☎✵◆✫◆➌➈✫②✺☎✱✾✫◆✵❳➋➒↕P➙✒✙✡✯✹Ø✏➳❽➼

➳☞✁✒✑✍✓✪✢✭✠❪✓✔✁☎✕★✂✁☎✄✝✆✟✞✡✠❪✓✪✕✡➲◆✦➻✢✛✑ ➭ ✓✪✕✡☛✍✌❪➽✛✮✡✫✛✁☎✣✪✞✗✄✝☛➐✻✒ý✭✮✗✆✟✢✭➲✛☛✖➳❈✸❥✶P❁✖Ï✒✸✛þ✛ð❢✮⑦ý❂❁☎✽✬✶✡✯

✁þ❄✄✝✎✳✯✬ü❴✫✛☛✖✕✚✢✛✕✗✩✘þ✈✯✬ü❈✯ ➫ ✢✭✌♥➴❪✢✛✕s✯➄✃❏✭✰✽➐➅➄✥✻✫◆✵❳➋➒↕✦✩✰➋❨✱✾✫◆▼ ➋❉✥★✽✂➜✴✺✾✧☎✵❳➋➒↕P➙ ➫❈➭ ☛✍✁✛✌❪☛✍✠❪✓✪✑✍✢✛✣

✂✁☎✄✝✆✟✞✡✠☞☛✍✌➄✎✒✑✍✓✔☛✖✕✗✑✘☛✛✮✡✫✛✁☎✣✰✯✳✻❢✮✗✆✗✆♠✯✟✴✛✴✬❁✖Ï✹✶✛✶✗ý✭✮⑦ý❂❁☎✽✭þ❢✯

✁✽❂✄✑✖✝✯➓➪✂✁❢✁✛✠ ➭ ✢✛✕✗✩➬r◆✯⑦➮❱✞✡☛✍❰✛☛✍✌✖✯✘✸➄✺☎✱✾✫◆✵❳➋➒↕❨➣✷✭✰✧s✫❳✹✻✺✕➊✴✭✰➋✻✱❂✺✼➊✷✥✻✫◆✵❳→✬✺☛✭✰➋▲✺☎✱❍➅➄✧✪✭✴➅➄▼

✺✾✧✾✫◆➌☞✝✒✵❳➋➁✫②✺✾✧☎→✰✩✰➔✬↕✬✧✪✩✴➅➁✹❺✱➐✩✰➋➄❖➐↕✬✧✪✩✴➅➁✹❣➅➄➔➎✩✰➋➄✩✰✧☎✵◆✫◆➌✘✥➒✱☎✵❳➋➒↕✍✌✏✎❚▼❛✫◆✧✼✺✴✺❣✩✰➔↕P✭✰✧☎✵◆✫❳✹P✽✑✱✷➙

✙✛✁☎✞✡✌✜✕✗✢✛✣✳✁✛✥❴✂✁☎✄✝✆✟✞✡✠❪✓✪✕✡➲◆✢✛✕✗✩★✎❢➽✒➳☞✠☞☛✖✄ ✎✒✑✍✓✔☛✖✕✗✑✘☛✖➳➐ý✖✴❢✮✗✆✗✆♠✯✴✛✴✛✸✖Ï✒✴☎✽✰❁❢✮➓ý❂❁☎✽✭þ❢✯

✁ð❄✄✑■✚✯✟ ➭ ✓✔➵✟✢✒✮ ➫ ✯★■✏✓✪➳ ➭ ✓✔➯✍☛✍❰✒✓✰✮✡✎✳✯❢Ø❆➵✤☛✛✮✡✢✛✕✗✩ ➫ ✯❉❅✏➯✖✢✖➸❑✢✒✯✑☎✠➔✵❳➋▲✺✼✩✰✧✦✩✰➔↕P✭✰✧☎✵◆✫❳✹P✽

➣✷✭✰✧❣✺✾✽✂➜✴✺✼❖❺❖✰✵❳➋➒↕❆➅➄➔➎✩✰➋➄✩✰✧✉↕✬✧✪✩✴➅➁✹❺✱❚✥➒✱☎✵❳➋➒↕✍✌✏✎❚▼❛✫◆✧✼✺✴✺☎✱✷➙❥✙✛✁☎✞✡✌✜✕✗✢✛✣✛✁✛✥✟✂✁☎✄✝✆✟✞✡✠❪✓✪✕✡➲

(10)

✁❁❄✄✑✖✝✯✝✦★☛

✁✛✌✜✕Ú✢✛✕✗✩ ❃➓✯◗✦➻✞✡✠☞➯✍☛✖✣✰✯⑧û❚➋ ✫❳✹✻✺❝✺✾✽✂➜✴✺✼❖❺❖✰✵❳➋➒↕ ➅➁✹★✩✎✱❂✺❬✭❛➣➹✫❳✹✻✺

✭✴➅✻➊✷✧✪✭❛➣✾✫❆✩✰➋➄❖✗✸➁✩✰✧❳➉✷✩✰➋✿➅➄➔➎✩✰➋➄✩✰✧☎✵◆✫◆➌➈✫②✺☎✱✾✫◆✵❳➋➒↕✂✩✰➔↕P✭✰✧☎✵◆✫❳✹P✽➈➙✗Ø✏✣✔➲✛✁✛✌✜✓✔✠

✄◗✓✪✑✍✢◗ý✖þ❢✮

■❆✁✡✯✤✻❢✮✗✆✗✆♠✯✻✛✴✛✴✖Ï✒✻❥✶✹✻❢✮⑦ý❂❁✬❁✛þ❢✯

✁⑩ý✍✼✎✄➈r◆✯ ❮ ✓♠➪❑✢✭✠☞✠❪✓✪➳☞✠❪✢➍✢✛✕✗✩✗þ✈✯ ➫ ✢✛✄◗✢✛➳❪➳❪✓✪✢✒✯❆û❚➋❉▼ ➔✵❳➋▲✺❚➅➄➔➎✩✰➋➄✩✰✧☎✵◆✫◆➌✕✫②✺☎✱✾✫◆✵❳➋➒↕P➙s✎❢➱❽Ø✏✦

✙✡✯✤✂✁☎✄✝✆✟✞✡✠❪✓✪✕✡➲◆➬✧✁☎✣✰✯✳✻✛✸❢✮✟✆✗✆♠✯❁✛✸✛þ✬➼ ❁✬❁☎✽✹✮⑦ý❂❁✬❁✛þ❢✯

✁⑩ý✛ý☎✄✝✙✡✯❑➪✂✁✬➽✛☛✍✌★✢✛✕✗✩✔✓ ✯❩✦★➽❢✌❪✫✛✁☎✣✪✩s✯➐➃➄✫✮✭✴➅Ð✽❨✵❳➋➄❖✰✵❳➋➒↕➬➌❺✭✰✥★✧✕✌➈✶✱●✩✰➋➄❖✖✎➈✶✱✷➇✗☎

✱☎✵❳✽➐➅➄➔✵✘❚✺✼❖✕û✏✙✮➋✛✚❀➅➄➔➎✩✰➋➄✩✰✧✦✺✾✽✂➜✴✺✼❖❺❖✰✵❳➋➒↕➈✩✰➔↕P✭✰✧☎✵◆✫❳✹P✽➈➙✒➱❽✕➈❃❴✌❪✁✒✑✘☛✍☛✖✩✗✓✪✕✡➲☎➳✧✁✛✥s✠ ➭ ☛

☛✖✕✹✠

Ø✏✕✗✕❢✞✗✢✛✣❆Ø❆❑✦♣➼❽✎❢➱❽Ø✏✦ ✎❢➽✒✄✝✆✤✁☎➳❪✓✪✞✗✄❙✁☎✕

✓✪➳❪✑✘✌❪☛✍✠☞☛▲Ø✏✣✔➲✛✁✛✌✜✓✔✠

✄◗➳✍✮

➬✧✁☎✣✰✯❱ý✖✴❢✮✟✆✗✆♠✯sý✘✶☎✼✬Ï✳ý✘✶✹þ❢✮✧ý❂❁✬❁✬❁❢✯

✁⑩ý✖✻❄✄✝✙✛✁☎✞✡✌✜✕✗✢✛✣✧✁✛✥❘r✏✌✜✢✭✆

Ø✏✣✔➲✛✁✛✌✜✓✔✠

✄◗➳✚✢✛✕✗✩➹Ø❆✆✗✆✟✣✪✓✪✑✍✢✭✠❪✓✔✁☎✕✗➳

✠☞✠☞✆♠ÿù✬ù☞➴☞➲☎✢✛✢✒✯✓✪✕✡✥✷✁➒ù

✫✛✁☎✣✰✯✳ð❢✮✟✕✡✁✡✯✳✴❢✮✗✆✗✆♠✯✗✻❥✶✗ý✜Ï✒✻☎✽✭✴❢✮♠✻✭✼✛✼✭✶

✁⑩ý✖✴❄✄◗❈✎➹✽✭þ✛✻❢ÿ❨r✏✌✜✢✭✆

➼➌✠

☛✍✁✛✌❪☛✍✠❪✓✪✑◗✢✛✣✔➲✛✁✛✌✜✓✔✠

✄◗➳➐➮♠☛✖✑✘✠❪✞✡✌❪☛◗✕✡✁✛✠☞☛✖➳✈✁✛✥❩✢→➲✛✌✜✢✛✩✗✞✗✢✭✠☞☛

✑✘✁☎✞✡✌✜➳☞☛✚❐✏✕✗✓✔✫✛☛✍✌✜➳❪✓✔✠❺➽➍✁✛✥✜✓➹✢✭✠☞☛✍✌✜✣✔✁❢✁ ✢✛✣✪✣❱✻✭✼✛✼☎✸❢✮✳✑ ➭ ✢✭✆✗✠☞☛✍✌◆ý✖þ❢✮✟✆✗✆♠✯sý✛ý✬✽✍Ï✳ý✛ý✖ð❢✯

✁⑩ý✘✶✰✄◗ ➭ ✢✭✌❪✠☞✌✜✢✛✕✗✩s✮➈r◆✯✣✢✴➋➁✫◆✧✪✭❂❖✰✥❉➊❂✫✮✭✰✧☎➌✤❚✧✪✩✴➅➁✹ ✸✒✹✻✺✼✭✰✧☎➌❺➙✦■❆☛✍➸ ü❴✁✛✌❪❰✳ÿ ❮ ✁✬✫✛☛✍✌✖✮

ý❂❁✛ð✛✸❢✮✳✆♠✯✟✻✒ý✖ð❢✯

✥✧✦★✪✩✞✫✦✬✮✭✑✯✞★✰✬✱✫✬✲✩✴✳✆✵✶★✰✬✱✫✩✸✷✺✹✰✦✻✼✩✴✳ ✽✾✬✱✿✱✬✱✦❀❁✬✲❂❄❃✧✿✠★✰✯❆❅✛✬✠✹❈❇❊❉✶✳✛❉✞❋❆❋❁●

✥✧✦★✪✩✞✫✦✬✮✭✑✯✞★✰✬✱✫✬✲✩

❍ ✿✲✩❆❂■✬✱❏▲❑▼✯✞◆P❖◗✿✱✯❆❘☞✯❆❏❙✦✿▲✵✶★✰❚✼❂■✦✬✱❯❱✯✞◆P❲❳✯❆✫❂■✯❊❀❆✩

✷◗❨☞✯❆❘☞✬❆❩✾❬❪❭✜❫❁●✞❫❙❉❆❉❆❴❱❵❁❋❙❉✞❛✸❛❁●

❖❝❜✶❏▼✩✞✦✫❞❩✑❡✶❢❞❣✐❤■❥❢❪❦❁❧♠✠♥❊❣✄❦❊❥♦❦✲❤☞♣✾q✴r❳❤✴❢❪❥❪❧♠✠♥✞r

✵✶★✰✬✱✫✩✸✷✺✹✰✦✻✼✩

✿✲✩❆❂■✬✱❏▲❑▼✯✞◆P❖◗✿✱✯❆❘☞✯❆❏❙✦✿▲✵✶★✰❚✼❂■✦✬✱❯❱✯✞◆P❲❳✯❆✫❂■✯❊❀❆✩

✷◗❨☞✯❆❘☞✬❆❩✾❬❪❭✜❫❁●✞❫❙❉❆❉❆❴✾●❆❉✸●✶❇▲❉❊❵

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