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Étude d'algorithmes graphiques dans le cadre de la simulation numérique

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HAL Id: inria-00074175

https://hal.inria.fr/inria-00074175

Submitted on 24 May 2006

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Étude d’algorithmes graphiques dans le cadre de la

simulation numérique

Robert Fournier, Wihem Kherrati

To cite this version:

Robert Fournier, Wihem Kherrati. Étude d’algorithmes graphiques dans le cadre de la simulation

numérique. RR-2502, INRIA. 1995. �inria-00074175�

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a p p o r t

d e r e c h e r c h e

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

E

´ tude d’algorithmes graphiques dans le cadre

de la simulation nume´rique.

Robert Fournier, Wihem Kherrati

N˚ 2502

mars 1995

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✆✟✞ ✌✏☛ ✛✯✕✏✙ ✄✚✌✏☛✤✁☎✕✏✑✰✩ ✩✱✄✚✙ ✲✳✓✖✕✦✥✧✄✚✞✒✴ ✵✧✶✸✷✖✹✻✺✗✼✟✽✾✶✸✿✾✺✏❀✾❁❂✹✻✺✻❃✾❄❅❁❂❆✾✹✻❇ ❈✚❆✾✹✻✺✏✺❊❉❋✼✦❁❊● ❍✾■☞❏▲❑▼■❖◆❊P✰P✰◗✤❘❚❙ ❯❱◆✦❲❨❳✗❩✻❲❭❬❖❳❫❪❴◗✗❵▼❛☞❪❝❜❡❞❢❩❋◗▼❣❤P✒❏✻✐❋❥❦❲❧❪❨❬♠◆✦❛☞❪❨❏▼❵♥◗❫❛♦❲❨❏▲❑♣❪❴❳❫❪❨◗❫❲✯❵q❩rP✰❥✗■s❪❨❞❢❩❋◗ ❍✾■☞❏❊t☞◗❫❛✜✉▼✈①✇③②✜✉ ④⑤◆❊⑥r⑥⑦❏▼■s❛♦✐r◗✜■☞◗✗❳♠⑧r◗✗■☞❳⑨⑧r◗✢❵✍⑩♥❶▲❷▼❸▼❶❹❙ P❺◆♣■☞❬❚❻✏❼▼❼▲❷③❙ ❼♣❽✒⑥❡◆❊❑▼◗✗❬ ❾♥❿q➀✏➁➃➂➄❿➆➅✯➇➃➈➊➉➌➋♦➍s➎➐➏✦➑✏➒✦➉⑦➓✏➎❂➔➣→➣➔↕↔➙➍☞➉➌➛❝➜➙➍☞➝✗➓✦➉☞➋♦➋✬➉☞➈❦➎r➞▼➑❫➓✦➜❤➉s➟▼➉☞➠s➎➡➓✦➉☞➜❡➒✦➉☞↔➢↔➤➔↕➋✖➓✏→↕➥⑨➎❂➔↕➑❫➈✦↔❤➈✗➓✦➋✬➍☞➜➦➔↕➝✗➓✦➉☞↔➨➧ ➉☞↔➤➎❱➒➊➉♦➜❂➉☞➞➊➜❂➍☞↔❂➉☞➈❫➎➐➉☞➜❭→↕➉➫➩❫➑♠→↕➓✦➋✬➉♦➍s➎➐➓✦➒✏➔↕➍➫➞✦➥❫➜➭➓✦➈✔➋♦➥⑨➔➣→➣→↕➥❦➯❫➉➫➒✦➉✬↔❂➓✦➜➤➛❝➥❫➠☞➉➳➲❨➓✦➈➊➉➫➞▲➉☞➥❫➓❊➵✯➉s➎❱➓➊➈✭➋✬➥♠➔➣→➣→↕➥❫➯❦➉ ➩❫➑♠→↕➓✦➋❱➔↕➝✗➓✦➉♠➧r➥❫➓➺➸✭➈✦➻☎➓➊➒✦↔✖➒✦➉☞↔❂➝✗➓✦➉s→↕↔➭↔➙➑❦➈❫➎✖↔➦➔↕➋✖➓✏→↕➍☞➉☞↔➭➒✦➉☞↔✖➞➊➜❂➑❫➞✦➜➦➔↕➍s➎➐➍☞↔☎➞✦➏❫➼✏↔➦➔↕➝✗➓✦➉☞↔✳➲❝➞✦➜❂➉☞↔➙↔➦➔↕➑❫➈▲➧q➒✦➉☞➈➊↔➦➔➣➎➡➍♠➧ ➎➐➉☞➋♦➞▼➍☞➜❂➥⑨➎➡➓✦➜➙➉⑨➧⑨➩✗➔➣➎➐➉☞↔❂↔❂➉♠➧▼➽➣➽➣➽➾➵➡➽ ➚ ➉☞↔❭➑❦➓✏➎➙➔➣→↕↔❭➯❦➜➙➥❦➞➊➏✏➔↕➝✗➓✦➉☞↔⑦➔↕➈❦➎➐➉☞➜❂➥❫➠s➎❂➔➣➛❧↔✸↔➙➑❦➈❫➎❭➈✦➍☞➠☞➉☞↔➙↔❂➥⑨➔↕➜❂➉☞↔⑦➞▲➑❫➓✦➜⑦→❝➪➥❦➈➊➥♠→➣➼✏↔❂➉✾➒✦➉☞↔❭➜➙➍☞↔❂➓✏→➣➎➐➥♠➎➐↔➨➽ ➶ ➞✦➜❂➹☞↔➘➓✦➈③➥❫➞▲➉☞➜➙➴☞➓✳➒✦➉☞↔➘➎➐➉☞➠➡➏➊➈✏➔↕➝✗➓✦➉☞↔➘➉➡➸✦➞▼➍☞➜➦➔↕➋✬➉☞➈❫➎➡➥⑨→↕➉☞↔➨➧❫➈✦➑❫➓✦↔❭➞✦➜➙➍☞↔❂➉☞➈❫➎➡➉☞➜➙➑❦➈✦↔❋→↕➉☞↔➌➋♦➍s➎➐➏✦➑✏➒✦➉☞↔❡➒✦➉➃➩✗➔↕↔➙➓✦➥♠→➣➔➣➷ ↔➙➥♠➎➙➔↕➑❦➈⑤➥❦➞➺→➣➔↕➝➺➓➊➍☞➉☞↔❭➬✖→↕➥♦↔➤➔↕➋✖➓✏→↕➥♠➎➙➔↕➑❦➈⑤➈✗➓✦➋♦➍☞➜➤➔↕➝✗➓✦➉♠➽ ➮ ➑❦➓✦↔✯➒✏➔↕↔➦➎➙➔↕➈✦➯❦➓➊➉☞➜❂➑❫➈✦↔➘→↕➥③➜❂➉☞➞✦➜➙➍☞↔❂➉☞➈❫➎➡➥⑨➎❂➔↕➑❫➈✳➒➊➉☞↔➌➒✦➑❫➈✦➈✦➍☞➉☞↔➌↔➙➠☞➥♠→↕➥⑨➔↕➜❂➉☞↔➱➲❝➞✦➜❂➑❫➞✦➜➤➔↕➍s➎➡➍☞↔➘➞✦➏❫➼✏↔➦➔↕➝✗➓✦➉☞↔✃➎➡➉s→➣→↕➉☞↔➌➝✗➓✦➉ ➒✦➉☞➈➊↔➦➔➣➎➡➍✃➑❦➓③➞✦➜➙➉☞↔❂↔➤➔↕➑❦➈❊➵➐➧✏➒✦➉✃➠☞➉s→➣→↕➉☎➒➊➉☞↔❭➒✦➑❦➈➊➈✦➍☞➉☞↔❤➩❫➉☞➠s➎➡➑❫➜➦➔↕➉s→➣→↕➉☞↔☎➲❐→↕➉➃➩❫➉☞➠s➎➡➉☞➓✦➜❡➩✗➔➣➎➡➉☞↔❂↔➙➉❖➵➡➽ ❒ ➉☞↔✤➥❫➞✦➞✦➜➙➑✏➠➡➏➊➉☞↔➳➞➊➜➦➔↕➈✦➠s➔↕➞✦➥⑨→↕➉☞↔✜➞▼➑❦➓✦➜➳➩➺➔↕↔➙➓✦➥⑨→➣➔↕↔❂➉☞➜✜→↕➉☞↔❹➩♠➥♠→↕➉☞➓➊➜❂↔✜↔❂➠☞➥⑨→↕➥⑨➔↕➜❂➉☞↔✤➒✦➍s❮♣➈✏➔↕➉☞↔✜➥❦➓✗➸✚➈✦➻✾➓✦➒✦↔❹➒▲➪➓✦➈ ➋✬➥♠➔➣→➣→↕➥❫➯❦➉✃↔❂➑❫➈❫➎①❰✗→↕➉☞↔➘➞✏→↕➥❫➈✦↔➘➒✦➉✃➠☞➑❦➓✦➞▼➉♠➧❫→↕➉☞↔➘➔↕↔➙➑❦↔➙➓✦➜➦➛❧➥❦➠☞➉☞↔❡➑❦➓✬→↕➉☎➜➙➉☞➈✦➒✦➓❱➩❦➑⑨→↕➓✦➋➫➔↕➝✗➓✦➉♠➽ ❒ ➉☞↔✸➒➊➉☞➓➺➸⑤➞✦➜➙➉☞➋➫➔↕➹☞➜❂➉☞↔ ➎➐➉☞➠➡➏✦➈➺➔↕➝➺➓➊➉☞↔✸↔➙➑❦➈❫➎➌➒✦➉☞↔❭➜➙➉☞➞✦➜❂➍☞↔➙➉☞➈❫➎➡➥⑨➎❂➔↕➑❫➈✦↔r→↕➑✏➠☞➥⑨→↕➉☞↔➨❰➊↔❂➉☞➓✏→↕➉✾➓✦➈✦➉✾➞✦➥❫➜➦➎➙➔↕➉➃➒✦➓③➩❫➑♠→↕➓✦➋✬➉☎➉☞↔➤➎➌➞✦➜➦➔↕↔➙➉☎➉☞➈③➠☞➑❫➋♦➞✏➎➐➉ ➲❝➠☞➑❦➓✦➞▼➉☞↔➡➵❋➑❦➓⑤→↕➥✬➜❂➍☞➞✦➥❫➜➦➎➙➔➣➎❂➔↕➑❫➈♦➒▲➪➓✦➈➊➉➃↔❂➉☞➓➺→↕➉➃➩♠➥⑨→↕➉☞➓✦➜❭➉☞↔➤➎✯➜➙➉☞➞✦➜❂➉☞↔➙➉☞➈❫➎➡➍☞➉☎➲❧➔↕↔➙➑❦↔➙➓✦➜➦➛❧➥❦➠☞➉☞↔➐➵➡➽ Ï ➥❫➜➘➠☞➑❦➈❫➎➐➜❂➉❭→↕➉✾➜❂➉☞➈✦➒➊➓➫➩❦➑⑨→↕➓✦➋❱➔↕➝➺➓➊➉☎➞▼➉☞➜❂➋✬➉s➎❤➒✦➉➌➩✗➔↕↔➙➓✦➥♠→➣➔↕↔➙➉☞➜➘→↕➥➫➜❂➍☞➞➊➥❦➜➤➎❂➔➣➎❂➔↕➑❫➈➫➒✦➉✯➎➡➑❫➓✏➎➡➉☞↔❡→↕➉☞↔⑦➩♠➥⑨→↕➉☞➓✦➜❂↔➘➒✦➥❫➈✦↔ →↕➉✾➩❦➑⑨→↕➓✦➋✬➉♠➧✦➞▼➑❦➓➊➜➢➓✦➈➊➉☎➞✦➜➙➑❦➞➊➜➦➔↕➍s➎➡➍✯➒✦➑❦➈➊➈✦➍☞➉♠➽ ❒ ➥✍➜❂➉☞➞✦➜➙➍☞↔❂➉☞➈❫➎➡➥⑨➎❂➔↕➑❫➈✤➒✦➉☞↔➫➒➊➑❦➈✦➈➊➍☞➉☞↔☎➩❫➉☞➠s➎➡➑❫➜➦➔↕➉s→➣→↕➉☞↔✖➞✦➥❫↔❂↔➙➉✳➞➊➥❦➜➭→↕➥✍➠☞➑❦➈✦↔➤➎➡➜➙➓✦➠s➎❂➔↕➑❫➈❚➒✦➉⑤→➣➔↕➯❫➈✦➉☞↔➫➉s➎➫↔➙➓✦➜➦➛❧➥❦➠☞➉☞↔ ➒▲➪➍☞➠☞➑❫➓✏→↕➉☞➋✬➉☞➈❦➎☞➽ ➇✃➈✦➉➃➍s➎➐➓✦➒✦➉➃➥⑨➔↕➈✦↔➤➔❋➝✗➓▲➪➓➊➈✦➉➌➔↕➋✬➞✏→↕➍☞➋♦➉☞➈❫➎➡➥⑨➎❂➔↕➑❫➈➫➒✦➉✾➠☞➉☞↔❭➒✏➔➣➟▼➍☞➜❂➉☞➈❫➎➡➉☞↔⑦➋♦➍s➎➐➏✦➑✏➒✦➉☞↔❤➉☞↔➤➎➌➞✦➜❂➑❫➞▼➑❦↔➙➍☞➉♠➽ Ð✚Ñ➊Ò❖ÓsÔ❂Õ❦Ö❧×♦Ø✖Ù ➥♠➔➣→➣→↕➥❫➯❦➉☞↔✻Ú ➚ ➧❫Û➘➑❫➓✦➞▼➉☞↔➨➧➨Ü➦↔❂➑❫↔❂➓✦➜➤➛❝➥❫➠☞➉☞↔➨➧sÝ➌➉☞➈➊➒✦➓➃Þ⑦➑♠→↕➓➊➋➫➔↕➝✗➓✦➉♠➧ ❒ ➔↕➯❦➈✦➉☞↔q➉s➎❤ß✏➓➊➜➦➛❝➥❫➠☞➉☞↔q➒▲➪➍☞➠☞➑❫➓✏➷ →↕➉☞➋✬➉☞➈❦➎➐↔➨➽ à❨á➃â➐ã①äæå➙ç❦è➨ä❝é❊ê▲ä❝ë➐ì ●❊í Ù✤î Û ➶ ❒rï☎ð ß✏➥❦➜➤→ ❒ ➉☞↔ ➶ →↕➯❦➑❫➜➦➔➣➎➐➏✦➋♦➉☞↔⑤Ý⑦➎➡➉✔➒✦➉☞↔ ❒ ➓✦➠s➔↕➑⑨→↕➉☞↔✜ñ Ï✃ò①ó❦ô✰õ❫ö❫÷❦õ Ú♥ß✏➑❫➞✦➏✏➔↕➥⑨➷ ➶ ➈❦➎➙➔↕➞▲➑⑨→➣➔↕↔ î ➋♦➥⑨➔➣→♠❰✏ø❭➔↕➏✦➉☞➋⑤ù➃➋✬➉☞➠☞➥♠→↕➑❫➯✏➽➛❝➜

(5)

☛✌☞rÓsÒ✎✍✑✏✦Õ⑨Ò❦Ø✓✒ P✰◗❫❛❖⑧r❏✻✐✕✔➦■☞◗✗❞q❩r◗✗❵▼❛☞❲✗✖✝❩r❬①◗➺✐ ❛❖❏➆❳✗❏▼P✒⑥❋❩✻❛❖◗✰❵❢❩❋P✒◗✗■s❪❨❳✏◆✦❲✖❬☞❪❨P❚❩✻❲◆➊❛☞❪❴❏▼❵r❬➺❣➢❪❴❬➳❛❖❏ ■☞◗✗⑥r■☞◗✗❬❖◗✗❵▼❛✧◆♣❵➄❏✙✘✻t☞◗✗❳❫❛✚✘✛✖ ❬❖❩❋■✜✔❂◆❊❳✗◗✣✢➐◆✟❬✥✤▼❪❨❵✧✦❚◆♣❵r✐✩★▲❏♣❲❴❩❋P✭❪❨❳♥P✰◗✗❬❖⑧r◗✗❬✫✪ ✉q❏▼P✒◗✧⑥r⑧✛✖❋❬➨❪❴❳✏◆➊❲ ⑥r■☞❏▼⑥⑦◗➺■s❛☞❪❨◗✗❬✬✢➤❲❧❪✭✤♣◗✤⑥r■☞◗✗❬❖❬❖❩❋■☞◗▼❣❋✐r◗✗❵r❬➨❪❝❛✮✖▲❣✻❛❖◗✗P✰⑥⑦◗➺■❖◆➊❛❖❩r■☞◗❊❣✯★▲◗❫❲❨❏✻❳❫❪❝❛✮✖▲❣✰✪✱✪✱✪✲✦✖◆♣■☞◗✜❳➺❏▼P✰⑥r❩✻❛❖◗✗✐✱❏▼❵ ❛❖⑧r◗✗❬❖◗❹P✒◗✗❬❖⑧ ❵r❏✻✐r◗✗❬✫✪✴✳✬⑧r◗✗■☞◗❚◆♣■☞◗③❛✶✵➫❏✷✤▼❪❨❵r✐r❬⑤❏✸✔➃P✰◗✗❬❖⑧r◗✗❬✺✹ ✻ ✳♦⑧❋◗➳❬➨❛❖■☞❩r❳❫❛❖❩r■☞◗✗✐✱❑▼■s❪❴✐r❬❱■☞◗➺⑥❋■☞◗➺❬①◗➺❵▼❛❖◗✗✐➆◆♣❬➫◆✍P✧◆➊❛❖■s❪✽✼ ❏✸✔➌⑥⑦❏❊❪❨❵▼❛❖❬➺❣❢❳➊◆♣❵✾✘⑦◗③✐✻❪❴❬➨❛☞❪❴❵r❑▼❩✻❪❨❬❖⑧r◗✗✐ ❛❖❏✣✹ ✻ ✳♦⑧r◗✔❩r❵r❬☞❛❖■☞❩❋❳❦❛❖❩❋■☞◗➺✐ ❑▲■s❪❨✐r❬➺❣✿✵✳⑧✻❪❨❳♠⑧✚✐❋❏▲❵✰❀❛✜⑧❤◆✱★▼◗✧◆♣❵✛✖ ■☞◗✗❑▼❩✻❲◆❊■s❪❧❛✶✖✙✪✬✳♦⑧❋◗✭❳✗❏▼❵r❵r◗✗❳❫❛☞❪✗★q❪❧❛✶✖ ❏❁✔➌❛❖⑧r◗✗❬❖◗✤◗❫❲❨◗✗P✒◗✗❵▼❛❖❬✬❪❴❬⑤◆❊■✎✘✻❪❧❛❖■❖◆♣■✜✖❂✪ ✈➨❵▼❛❖◗✗■❖◆♣❳❦❛☞❪❃★▲◗✍❑▲■❖◆♣⑥r⑧✻❪❨❳✗❬➫❛❖❏✻❏♣❲❴❬✬◆❊■☞◗✜❵r◗✗◗✗✐r◗✗✐ ❛❖❏♥◆❊❵❤◆➊❲❃✖✯❄✗◗③❛❖⑧r◗❹■☞◗➺❬①❩✻❲❝❛❖❬✱✪ ✒ ✔ ❛❖◗✗■➳◆✔❬☞❛❖❩❋✐❅✖➆❏❁✔☎◗✑✼❋⑥➢◗✗■s❪❨P✰◗➺❵▼❛♠◆➊❲➃P✰◗❫❛❖⑧r❏✻✐r❬➺❣✯✵➫◗✤⑥❋■☞◗➺❬①◗➺❵▼❛❆★q❪❴❬❖❩❡◆✦❲❧❪✭❄✏◆➊❛☞❪❴❏▼❵✮P✒◗❫❛❖⑧r❏✻✐❋❬➳◆♣⑥❅❇ ⑥✻❲❧❪❨◗➺✐ ❛❖❏❺❵q❩rP✰◗✗■s❪❴❳✏◆➊❲➌❬☞❪❴P✍❩✻❲◆✦❛☞❪❨❏▲❵❈✪ ❉➄◗✒✐❢❪❴❬☞❛☞❪❨❵r❑▼❩✻❪❨❬❖⑧✟❛❖⑧r◗❺■☞◗✗⑥r■☞◗✗❬❖◗✗❵▼❛♠◆✦❛☞❪❨❏▲❵ ❏✸✔➫❬❖❳✏◆➊❲➤◆♣■③✐❤◆➊❛♠◆❊✢➙⑥r⑧✛✖✻❬☞❪❨❳➊◆➊❲✖⑥r■☞❏▼⑥➢◗✗■s❛☞❪❨◗➺❬❹❬❖❩r❳♠⑧ ◆❊❬ ✐r◗✗❵r❬➨❪❝❛✮✖✱❏▼■♦⑥r■☞◗✗❬❖❬❖❩❋■☞◗❁✦❱◆❊❵❋✐✾★▲◗✗❳❫❛❖❏▼■s❪➤◆➊❲➌✐❤◆➊❛♠◆❋✢●★▼◗❫❲❴❏✻❳❫❪❧❛✶✖ ❜❤◗❫❲❴✐✧✦✥✪ ✳✬⑧r◗✭⑥❋■s❪❴❵r❳❫❪❨⑥❤◆➊❲☎◆❊⑥❋⑥r■☞❏❢◆♣❳♠⑧❋◗➺❬⑤❛❖❏♥■☞◗✗⑥r■☞◗✗❬❖◗✗❵▼❛✜❬❖❳✏◆✦❲◆♣■♦✐❤◆➊❛♠◆❺✐r◗❫❜❤❵r◗✗✐✚❏▼❵✮❛❖⑧r◗✭P✰◗✗❬❖⑧✟❵r❏✻✐r◗✗❬ ◆♣■☞◗✚✹✾⑥✻❲◆❊❵❤◆♣■➭❳✗❩✻❛❖❬➺❣▲❪❴❬❖❏▼❬❖❩r■✜✔❂◆♣❳✗◗✗❬➱❏▼■✴★▲❏♣❲❴❩❋P✒◗③■☞◗✗❵r✐r◗✗■s❪❨❵r❑❍✪■✳♦⑧❋◗✳❜❡■☞❬☞❛✖❛✶✵➫❏✔❏▼❵r◗✗❬➫◆❊■☞◗✬❲❴❏✻❳✏◆➊❲ ★q❪❨❬❖❩❤◆➊❲❝❪❏❄✏◆✦❛☞❪❨❏▲❵ P✒◗❫❛❖⑧r❏✻✐❋❬✫✹✖t☞❩❋❬☞❛❚◆✱⑥❡◆❊■s❛✤❏❁✔✖❛❖⑧r◗❑★▲❏♣❲❨❩rP✰◗✭❪❨❬✤❳✗❏▼❵r❬☞❪❨✐r◗✗■☞◗➺✐▲✢➙❳➺❩❢❛▼✦❖❣✃❏▲■③❛❖⑧r◗ ✐✻❪❨❬☞❛❖■s❪❏✘r❩✻❛☞❪❨❏▲❵✚❏❁✔✖◆✰❬☞❪❴❵❋❑❊❲❨◗◆★❊◆➊❲❴❩❋◗✤❪❨❬➳■☞◗✗⑥r■☞◗✗❬❖◗✗❵▼❛❖◗✗✐❖✢➤❪❴❬①❏▲❬❖❩❋■✜✔❂◆❊❳✗◗P✦❘◗✿✵✳⑧r◗✗■☞◗✏◆❊❬✬❛❖⑧r◗❙★▲❏♣❲❴❩❋P✒◗ ■☞◗✗❵r✐r◗✗■s❪❨❵r❑✝◆➊❲❝❲❨❏✂✵✳❬➳❛❖❏✣★q❪❨❬❖❩❤◆➊❲❝❪❏❄✗◗✔❛❖⑧r◗♥✐✻❪❨❬☞❛❖■s❪❏✘r❩✻❛☞❪❨❏▲❵➄❏✸✔♦◆➊❲❧❲➱❛❖⑧❋◗✷★❊◆✦❲❨❩r◗✗❬✤❪❨❵✝❛❖⑧❋◗✷★▲❏♣❲❴❩❋P✒◗ ✔➦❏▼■✳◆✔❑♣❪✗★▼◗➺❵ ⑥r■☞❏▼⑥➢◗✗■s❛✮✖❂✪ ✳✬⑧r◗✤❳✗❏▲❵❋❬☞❛❖■☞❩r❳❫❛☞❪❴❏▼❵✱❏❁✔➌❲❧❪❴❵❋◗➺❬③◆♣❵r✐✾❚❤❏✫✵ ❬①❩r■✜✔❂◆❊❳✗◗✗❬♦◆➊❲❝❲❨❏✂✵ ❛❖❏❑★q❪❴❬❖❩❡◆✦❲❧❪✭❄✗◗❯★▼◗➺❳❫❛❖❏▼■s❪➤◆➊❲➌✐❤◆➊❛♠◆✯✪ ✒ ❬➨❛❖❩r✐❅✖✝◆❊❵❋✐✟❪❴P✰⑥✻❲❨◗✗P✒◗✗❵▼❛♠◆➊❛☞❪❴❏▼❵ ❏❁✔❱◆➊❲❧❲☎❛❖⑧r◗✗❬❖◗❱✤▼❪❴❵❋✐✝❏✸✔■★q❪❨❬❖❩❤◆➊❲❝❪❏❄✏◆✦❛☞❪❨❏▲❵✚P✰◗❫❛❖⑧r❏✻✐r❬③❪❨❬ ⑥r■☞❏▼⑥⑦❏▲❬❖◗✗✐✰✪ ❲✡❳✛❨✰❩✎❬❱❭✿❪P❫✃➀❊➅❑❴✙❵ P✰◗✗❬❖⑧✸❣q❯➱❩✻❛➱❍✃❲◆❊❵❋◗➺❬✗❣✏✈s❬❖❏▼❬❖❩r■✜✔❂◆♣❳✗◗➺❬✗❣✂❛✖❏♣❲❴❩❋P✒◗✖④✬◗✗❵r✐r◗✗■s❪❴❵❋✐✸❣❂❜❭❲❨❏✂✵➄❲❝❪❨❵r◗✗❬ ◆♣❵r✐✮❬❖❩r■✜✔❂◆♣❳➺◗✗❬✫✪

(6)

❴ ✷ ✸✺✹ ✻☛✼ ✽ ✼✿✾ ❀ ✸❂❁❄❃❆❅❈❇❄✼✿✾ ❉✛❊●❋✂❪P❭❈❫☎➁■❍✒❋❑❏ ❭▲❊ ▼ ◆ ❖ ❳✘❍✫P❆❊◗❏✖❘❭➁✓❳q➀❑❳✬❙❯❚➭❿❂❪✶❏➦➂ ❳✱❊●❋❲❱❨❳ ❳❢➀ ◆❬❩ ❻✛✪❝❻ ❵ ❪❴❬❖⑥⑦❏▼❬☞❪❝❛☞❪❃✔➦❬➫◗✑✼❋⑥➢❥✗■s❪❨P✰◗➺❵▼❛♠◆♣❩ ✼ ❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❻✏❸ ❻✛✪❶ ❴➌◆❙★❢❪❨❬❖❩❤◆➊❲❧❪❴❬♠◆➊❛☞❪❨❏▲❵ ◗✲✼❋⑥⑦❥✗■s❪❴P✰◗✗❵▼❛♠◆✦❲❨◗❵❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❻▼❻ ❻✛✪❶✯✪❝❻ ✳✃◗➺❳⑨⑧r❵✻❪❨❞q❩r◗✤✐r◗✗❬➫❛❖■❖◆♣❳✗◗✗❩r■☞❬❛❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❻▼❻ ❻✛✪❶✯✪❶ ✳✃◗➺❳⑨⑧r❵✻❪❨❞q❩r◗✗❬✳✐r◗✜✐❋◗➺❵❋❬☞❪❝❛❖❥✦❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❻ ❴ ❻✛✪❶✯✪❴ ✒ ✐r✐✻❪❧❛☞❪❨❏▲❵✮✐r◗✤❳⑨⑧❤◆✦❲❨◗✗❩r■➫◗❫❛✳❥✗❵r◗✗■☞❑♣❪❴◗❜❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❻ ❴ ❻✛✪❶✯✪❽ ❝➭❪❧❲◆❊❵✮✐r◗✗❬➫❛❖◗✗❳♠⑧❋❵✻❪❴❞q❩r◗✗❬⑤◗✑✼r⑥⑦❥✗■s❪❴P✰◗✗❵▼❛♠◆✦❲❨◗✗❬✳❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❻✗❽ ❞ ❡ ❱❣❢❤❏➀✏➁■❱✝❳✖❏ ➀✛❱✱❋❑❏ ❭❤❊✐❱✝❚❆❚☛❳✖❏✖❘✯➁✯❿❂❳❦❥❣❳✖❱♠❧✪♥♣♦ ◆❨q ❶✯✪❝❻ ❵ ❥❦❜❡❵✻❪❝❛☞❪❨❏▼❵➆✐r❩✮❳✗❏▲❵▼❛❖◗✑✼❢❛❖◗ ❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❻✏❷ ❶✯✪❶ ❛➳❪❨❬❖❩❤◆➊❲❧❪❴❬♠◆➊❛☞❪❨❏▲❵✱◆♣❬❖❬☞❪❨❬☞❛❖❥✗◗✜⑥❤◆♣■➫❏▼■☞✐✻❪❴❵❡◆✦❛❖◗✗❩r■▼✪r❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❻✶s ❶✯✪❶✯✪❝❻ ❵ ❏▼❵r❵r❥✗◗✗❬♦❬❖❳✏◆➊❲➤◆➊❪❨■☞◗➺❬t❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❻✶s ❶✯✪❶✯✪❶ ❵ ❏▼❵r❵r❥✗◗✗❬ ★▼◗➺❳❫❛❖❏▼■s❪❴◗❫❲❧❲❴◗✗❬ ❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❻✏❼ ✉ ❉✈❊●❋✂❳❂❪✶❱✝❍✒❋❑❏✖❢❤❏✇❋➊❿ ❞●◆ ❴ ✪❝❻ ✈➨❵▼❛❖◗✗■❖◆❊❳❫❛☞❪❨❏▲❵❋❬➳◆✱★▼◗✗❳✜❲✮❀❏✛✘✻t☞◗❦❛ ❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❶❋❻ ❴ ✪❶ ✉q❞q❩r◗❫❲❴◗❫❛☞❛❖◗✳❭✦❭❫❭✦❭❪❭✦❭❫❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❶▼❶ ❴ ✪❶✯✪❝❻ ❵ ❥❫❜❤❵✻❪❧❛☞❪❨❏▲❵ ❭❫❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❶▼❶ ❴ ✪❶✯✪❶ ①③⑥❢❛☞❪❴P✔❪❨❬♠◆✦❛☞❪❨❏▼❵✝✐r❩✝❳✏◆➊❲❴❳✗❩✻❲✾✐✰❀➾❪❨❵▼❛❖◗✗■☞❬❖◗✗❳❦❛☞❪❨❏▼❵ ✐✰❀❩r❵✝⑥✻❲◆♣❵ ◆✱★▲◗✗❳✔❲◆ ⑥⑦◗✏◆❊❩②❭✦❭❪❭✦❭❫❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❶ ❴ ③ ④ ❳✖❱✤❊✯➀✷❫ ❳⑤❍✙❭⑦➁■❚■❳ ❞✰q

(7)

❽ q ❉❦➀✱❭❡➀➊➁ ❪✡✠ ❱✝❍✙❳q➀ ❞ ▼ ❷✯✪❝❻ ❍☎■s❪❨❵r❳❫❪❨⑥➢◗✗❬ ❭✦❭❫❭✦❭❪❭✦❭❫❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❶☞☛ ❷✯✪❶ ✒ ❲❨❑▼❏▲■s❪❧❛❖⑧rP✰◗✤✐r◗✗❬✍✌☎✎✚◆♣■☞❳♠⑧✻❪❨❵r❑❺❯✖❩❍✘⑦◗✗❬✑✏ ✪ ❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❴ ❸ ❷✯✪❴ ❴❭◗✗❬✍✌☎✎✚◆❊■☞❳⑨⑧✻❪❴❵❋❑ ❴➢❪❴❵r◗✗❬✑✏✮❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❴ ❽ ❷✯✪❽ ✒ ❲❨❑▼❏▲■s❪❧❛❖⑧rP✰◗✤⑥r■☞❏▼⑥➢❏▼❬❖❥❦❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❴ ❘ ❷✯✪❷ ④♦❥✗❬❖❩✻❲❧❛♠◆➊❛❖❬✂❭✦❭❫❭✦❭❪❭✦❭❫❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❴ ❼ ✒ ❾✾❳✱❊✓❫✾➁✔✓✺❭✤❳➦➁➃➂ ❏✖❘❭➁✓❳ ③●✉ ❘✯✪❝❻ ❵ ❥❦❜❡❵✻❪❝❛☞❪❨❏▼❵ ❭❫❭✦❭❪❭✦❭❫❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✂❽ ❴ ❘✯✪❶ ✈➨❵▼❛❖❥✗■✖✕❫❛❖❬➳◗❫❛⑤✐r❥✲✔❂◆❊❩✻❛❖❬✬✐r❩✮■☞◗➺❵❋✐r❩ ★▼❏❊❲❨❩rP✔❪❨❞❢❩❋◗ ❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✂❽▼❽ ❘✯✪ ❴ ❯✖❏▼P✒⑥❡◆❊■❖◆➊❪❴❬①❏▲❵✺✹q❲ ◆❊❵❋❳➺◗✗■✬✐r◗✜■❖◆✱✖▲❏▼❵✘✗❚⑥❋■☞❏❊t☞◗✗❳❫❛☞❪❴❏▼❵✱❳✗◗❫❲❝❲❨❩✻❲❨◗✤⑥❤◆♣■➫❳✗◗❫❲❝❲❨❩✻❲❨◗✛✪✱❭✪❭✂❽▼❽ ❘✯✪❴ ✪❝❻ ❴➌◆♣❵r❳✗◗✗■➫✐r◗✤■❖◆▼✖▲❏▼❵ ❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✂❽q❷ ❘✯✪❴ ✪❶ ❍✾■☞❏❊t☞◗✗❳❫❛☞❪❨❏▲❵ ❳➺◗❫❲❧❲❴❩❢❲❴◗✤⑥❡◆❊■✬❳➺◗❫❲❧❲❴❩❢❲❴◗❜❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✂❽q❘ ❘✯✪❽ ②✳❵❋◗✤⑥r■☞◗✗P✔❪✚✙✗■☞◗✤P✰❥❫❛❖⑧r❏✻✐r◗✤◆♣⑥r⑥✻❲❧❪❴❳✏◆❁✘✻❲❨◗ ❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✂❽✱s ❘✯✪❷ ✎✟❥❦❛❖⑧❋❏✻✐r◗✜⑥r■☞❏▼⑥➢❏▼❬❖❥✗◗✪❭❫❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✂❽✱s ❘✯✪❷✯✪❝❻ ②⑤❵✮⑥r■☞◗✗P✭❪❨◗✗■✳◆➊❲❴❑▼❏▼■s❪❝❛❖⑧rP✰◗ ❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✂❽✛☛ ❘✯✪❷✯✪❶ ❛✖◗✗■☞❬☞❪❨❏▲❵✧❪❴❵r❳✗■☞❥✗P✰◗✗❵▲❛♠◆➊❲❨◗ ❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❷▼❸ ❘✯✪❘ ④♦❥✗❬❖❩✻❲❧❛♠◆➊❛❖❬♦◗❫❛✳⑥⑦◗✗■☞❬❖⑥➢◗✗❳❫❛☞❪❃★▲◗✗❬ ❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❷▼❶ ✜ ❡ ❏✣✢▲❊ ❳❢➀✷❫ ❳✯❍✛❭➢➁ ❪✶❱✤❊●❋ q✰q s ✪❝❻ ❴❭❏✻❳✏◆✦❲❧❪❴❬⑨◆✦❛☞❪❨❏▲❵✧✐✰❀➣❩❋❵➆⑥⑦❏❊❪❨❵▼❛♦✐❤◆♣❵r❬♦❩❋❵➆P❺◆➊❪❝❲❧❲➤◆♣❑▼◗ ❴✙❵ ❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❷▼❷ s ✪❝❻✛✪❝❻ ✒ ❲❨❑▲❏▼■s❪❝❛❖⑧❋P✒◗❹✐r◗✺✘❤◆♣❬❖◗❜❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❷▼❘ s ✪❝❻✛✪❶ ①③⑥❢❛☞❪❴P✔❪❨❬♠◆✦❛☞❪❨❏▼❵✰✹❋⑥r■☞❏▲⑥❡◆❊❑q◆✦❛☞❪❨❏▼❵✱⑥❤◆♣■ ★▲❏♣❪❨❬☞❪❴❵❡◆❊❑▼◗ ❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❷✘s s ✪❝❻✛✪❴ ❯➱❏▲❵r❬➨❛❖■☞❩r❳❫❛☞❪❴❏▼❵➆✐❋◗③❲➤◆✔❛♠◆❁✘✻❲❨◗✜✐✰❀↕◆♣✐✦t❖◆♣❳✗◗➺❵❋❳➺◗ ❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❷✘s s ✪❝❻✛✪❽ ❯➱⑧r❏❊❪✽✼✮✐✰❀❩r❵✮❥❫❲❴❥✗P✰◗✗❵▲❛⑤✐r◗✺★▼❏❊❲❨❩rP✰◗✤✐r◗✤✐❋❥➺⑥❡◆❊■s❛✿❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❘❋❻ s ✪❝❻✛✪❷ ❴❭❏✻❳✏◆➊❲❝❪❨❬♠◆➊❛☞❪❴❏▼❵♥✐✰❀❩r❵✮⑥➢❏♣❪❨❵▲❛✬✐❤◆❊❵❋❬✳❩r❵ ❥❫❲❴❥✗P✰◗✗❵▲❛③✐r◗❯★▼❏❊❲❨❩rP✰◗✸✪ ❭✦❭✪❭ ❘▼❶ s ✪❶ ✈➨❵▼❛❖◗✗■☞⑥➢❏♣❲◆✦❛☞❪❨❏▲❵✮✐❤◆♣❵r❬♦❩❋❵➆❥❫❲❨❥➺P✰◗✗❵▼❛✳✐r◗ ★▲❏♣❲❴❩rP✰◗r❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❘▼❶ s ✪❶✯✪❝❻ ❵ ❥✗❳✗❏▲P✰⑥⑦❏▲❬➨❪❝❛☞❪❨❏▲❵✧◗➺❵ ❛❖❥❫❛❖■❖◆✤✙✗✐r■☞◗✗❬❄❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❘ ❴ s ✪❶✯✪❶ ✈s❵▼❛❖◗➺■☞⑥⑦❏♣❲➤◆➊❛☞❪❴❏▼❵ ❛❖■s❪❝❲❧❪❴❵❋❥➊◆➊❪❨■☞◗✤✐❤◆♣❵r❬♦❩r❵✮⑧r❥✑✼❡◆✤✙✗✐r■☞◗ ❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❘ ❴ s ✪❴ ❯➫◆➊❲❴❳✗❩✻❲➌✐r❩ ⑥➢❏♣❪❨❵▲❛⑤❬❖❩✻❪❃★❊◆❊❵▼❛③❬❖❩r■✖❲◆✍❲❝❪❨❑▼❵r◗✤✐r◗✤❳✗❏▼❩r■❖◆♣❵▲❛✫✪ ❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❘▼❼ s ✪❽ ④♦❥✗❬❖❩✻❲❧❛♠◆➊❛❖❬✂❭✦❭❫❭✦❭❪❭✦❭❫❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ s❢❻ ▼ ✥➌➁ ❪✡✠ ❱❨❍✙❳q➀❱❫ ❳⑤❍✙❭⑦➁✓❪✶❱✤❊●❋ ✜ ❞ ☛✯✪❝❻ ✦➃❛❖❩❋✐r◗✗❬✳✐r◗❹✐✻❪★✧➘❥✗■☞◗✗❵▲❛❖❬③◆➊❲❴❑▼❏▲■s❪❧❛❖⑧rP✰◗✗❬ ❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ s♣❶ ☛✯✪❶ ❵ ❥❦❜❡❵✻❪❝❛☞❪❨❏▼❵➆✐r◗③❲ ◆✰❬❖❩r■✜✔❂◆♣❳✗◗❵❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ s➊❽ ☛✯✪❴ ❯✖⑧r❏♣❪❃✼✱✐r◗✜❲ ◆❚❲❧❪❨❑▲❵r◗✜✐❋◗✤✐r❥✗⑥❤◆♣■s❛ ❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ s♣❘

(8)

❷ ☛✯✪❽ ❍➃◆✱★❊◆♣❑▲◗❹■☞❥➺❑▼❩✻❲❧❪❴◗✗■ ❭✦❭❫❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ s♣❘ ☛✯✪❷ ❍➃◆✱★❊◆♣❑▲◗❹P✭❪❨❵✻❪❨P❺◆✦❲ ❭✦❭❫❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ s✟s ☛✯✪❷✯✪❝❻ ✎✟❥❫❛❖⑧r❏✻✐r◗✜✐❋◗◆✘❤◆♣❬❖◗ ❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ s✟s ☛✯✪❷✯✪❶ ✒ t☞❏▼❩✻❛✳✐r◗✜⑥❡◆❊■s❛☞❪❨❳✗❩✻❲❴◗✗❬r❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ☛❋❻ ☛✯✪❷✯✪❴ ④✬◗❫❛❖■❖◆✦❪❧❛✳✐r◗❹⑥❤◆❊■s❛☞❪❨❳✗❩✻❲❨◗➺❬ ❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ☛▼❶ ☛✯✪❘ ④♦❥✗❬❖❩✻❲❧❛♠◆➊❛❖❬✂❭✦❭❫❭✦❭❪❭✦❭❫❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ☛♣❽ ☛✯✪✭s ✒ ❩❢❛❖■☞◗➺❬⑤P✰❥❫❛❖⑧r❏✻✐r◗✗❬♦✐r◗❹■☞◗➺⑥❋■☞❥➺❬①◗➺❵▼❛♠◆➊❛☞❪❴❏▼❵✮✐r◗✗❬♦❬❖❩r■✜✔❂◆♣❳✗◗✗❬➫✐r◗✤❳✗❏▼❩r■❖◆❊❵▼❛ ❭✦❭✪❭ ☛▼❘ ❧❙❭▲❊◗❍✬❳➦➁✯➀✛❏❭▲❊ ▼✰▼ ✁✠❏✄✂❆❳✖❏ ❭ ✢✿❪✶❱✝❚ P■❏❳ ☎ ③

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❘ ✷ ✸✺✹ ✻☛✼ ✽ ✼✿✾ ✁✄✂ ❇ ✼✿✾ ❶✯✪❝❻ ✎✚◆✦❪❧❲❝❲ ◆♣❑▲◗✗❬➫❶ ❵ ❬☞❛❖■☞❩r❳❫❛❖❩r■☞❥ ✗✍❵r❏▼❵♥❬☞❛❖■☞❩r❳❫❛❖❩r■☞❥❹❳➺❏▼❩❅★✻■❖◆♣❵▲❛❱❲❴◗✗❬♦P ✕✗P✰◗✗❬♦✐r❏❁❇ P✧◆➊❪❨❵r◗✗❬✫✪✱❭❪❭✦❭❫❭✦❭❪❭✦❭❫❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❻✶s ❶✯✪❶ ✒ P❙✘✻❪❨❑▲❩✻❪❧❛❖❥✤✐r◗❹⑥➢◗✗■☞❳✗◗✗⑥✻❛☞❪❴❏▼❵✱✐❈❀➣❩r❵✡★▼◗➺❳❫❛❖◗✗❩r■✬◗➺❵ ❴✛❵ ✪▲❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❻✏❼ ❴ ✪❝❻ ✉q❳♠⑧r❥✗P❺◆✰✐✰❀◗✑✼r⑥❢❲❝❪❨❳✏◆✦❛☞❪❨❏▲❵✮✐r◗③❲ ◆❱✘➢❏▼❩✻❲❨◗✺★q❪❴■s❛❖❩r◗❫❲❧❲❴◗✸✪✐❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❶▼❶ ❴ ✪❶ ✉q❞q❩r◗❫❲❴◗❫❛☞❛❖◗❚✐❈❀➣❩r❵❋◗◆✘➢❏▼❩r❑♣❪❴◗❊❣❋✐r❥❫❜❤❵✻❪➌⑥❡◆❊■➫✐❋◗➺❬✬⑥✻❲ ◆❊❵r❬✆☎✞✝ ✪❦❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❶ ❴ ❽ ✪❝❻ ✈➨❬❖❏♣❲❧❪❴❑▼❵r◗✗❬♦◗❫❛➳④✬◗✗P✰⑥✻❲❝❪❨❬❖❬♠◆♣❑▼◗➳✐❋◗❯✔❂◆❊❳✗◗❫❛☞❛❖◗✗❬♦✐✰❀❩r❵r◗✤❳✗❏▼❩r⑥⑦◗✜✐r◗✤P❺◆✦❪❧❲❧❲➤◆♣❑▲◗ ❴✛❵ ✪✂❶✘s ❷✯✪❝❻ ❜r◗✗❵ ✕❫❛❖■☞◗✤✐r◗✤❬⑨◆✦❪❨❬☞❪❨◗➳✐❋◗✜❲✮❀❪❨❬❖❏✂★❊◆➊❲❴◗✗❩r■▼✪❯❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❶▼❼ ❷✯✪❶ ✈➨❬❖❏▼❬❖❩r■✜✔❂◆♣❳✗◗✜✐❤◆♣❵r❬♦❩r❵✮❳✲✖q❲❝❪❨❵r✐r■☞◗✤⑥❢❲❴◗❫❪❨❵✰✪✐❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❶▼❼ ❷✯✪❴ ❯✖❏▼❵✻❜❤❑▼❩r■❖◆✦❛☞❪❨❏▼❵➆◆✱★▼◗➺❳ ☛❚❪❨❵▼❛❖◗✗■☞❬❖◗✗❳❦❛☞❪❨❏▼❵r❬✫✪●❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❴ ❸ ❷✯✪❽ ①③❳❫❛❖◗❦❛✤❳✗❏▼■☞■☞◗✗❬❖⑥➢❏▼❵r✐❤◆♣❵▼❛✤◆❊❩ ✼ ⑥⑦❏▲❬➨❪❝❛☞❪❨❏▲❵❋❬➳✐❋◗➺❬❹❬❖❏▲P✰P✰◗❫❛❖❬✜⑥❤◆♣■✜■❖◆❊⑥r⑥⑦❏▼■s❛✠✟ ❲✮❀❪❴❬①❏▲❬❖❩❋■✜✔❂◆❊❳✗◗✸✪❂❭✦❭❪❭✦❭❫❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❴ ❻ ❷✯✪❷ ✡③❩✻❪❨❵❍❄✗◗✤❳✗❏▲❵✻❜❡❑▲❩r■❖◆➊❛☞❪❨❏▲❵r❬❱✐r◗✜❲ ◆❚❛♠◆❁✘✻❲❨◗✜✐r◗✜❲❨❏✻❏✙✤q❩r⑥ ✐r◗✗❬✳⑧❋◗✲✼❡◆ ✙✗✐r■☞◗✗❬✫✪❜❭✦❭✪❭ ❴ ❶ ❷✯✪❘ ❯➫◆♣❬➃◆❊P❙✘✻❪❨❑▲❩✰✹➺❳✗❏▲❵❢❜❤❑▲❩❋■❖◆✦❛☞❪❨❏▲❵❋❬✸✐❢❪★✧➘❥✗■☞◗➺❵▼❛❖◗✗❬➃⑥⑦❏▼❩r■➘❲❴◗✗❬ ✔❂◆♣❳✗◗❫❛☞❛❖◗➺❬❭❏✛✘✻❛❖◗✗❵q❩r◗✗❬ ✟✭⑥❡◆❊■s❛☞❪❨■✳✐❋◗➺❬ ☛✔P✍✕✗P✰◗✗❬✳⑥⑦❏♣❪❴❵▼❛❖❬♦✐❈❀➾❪❨❵▼❛❖◗➺■☞❬①◗➺❳❫❛☞❪❨❏▲❵❈✪❄❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❴✛❴ ❷✯✪✭s ❯✖⑧r❏♣❪❃✼✱✐r◗✜❲ ❀➣❏▼■s❪❴◗✗❵▼❛♠◆➊❛☞❪❴❏▼❵✱✐r◗✗❬✌✔❂◆❊❳✗◗❫❛☞❛❖◗✗❬➫✐❤◆♣❵r❬⑤❩r❵✱❳✏◆♣❬✳◆♣P✚✘✻❪❨❑▲❩❈✪❣❭✦❭✦❭✦❭✪❭ ❴ ❷ ❷✯✪☛ ✈➨❬❖❏▼❬❖❩r■✜✔❂◆♣❳✗◗✜✐r◗③❲◆✔❛❖◗➺P✰⑥⑦❥✗■❖◆✦❛❖❩r■☞◗❹❬❖❩r■♦❩❋❵r◗❯✔❂◆❊❳✗◗✤◆✱★❊◆♣❵▼❛✳✐r◗❹❵❤◆✱★▲◗❫❛☞❛❖◗✸✪ ❭✦❭✪❭✂❽q❸ ❘✯✪❝❻ ✈➨❵▼❛❖◗✗■☞❬❖◗✗❳❫❛☞❪❴❏▼❵✚❍➃❲◆♣❵❅❇ ❛✖❏♣❲❴❩rP✰◗✸✪ ❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✂❽q❼ ❘✯✪❶ ✈➨❵▼❛❖◗✗■☞❬❖◗✗❳❫❛☞❪❴❏▼❵ ❵ ■☞❏❊❪❧❛❖◗✲❇ ❜❤◆♣❳✗◗❫❛☞❛❖◗✛✪ ❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✂❽q❼ ❘✯✪❴ ✎✟❥❦❛❖⑧❋❏✻✐r◗✜❪❨❵r❳✗■☞❥➺P✰◗✗❵▼❛♠◆✦❲❨◗✤✐r◗✍⑥✻❲ ◆❊❵r❬⑤✐r◗✤❳✗❏▼❩r⑥⑦◗✛✹❡⑥❋■☞❏✙✘✻❲✙✗P✰◗❚◆❊⑥❋■✖✙➺❬✌✔➦■❖◆♣❵❅❇ ❳♠⑧✻❪❨❬❖❬❖◗✗P✰◗✗❵▲❛⑤✐✰❀❩r❵➆❬①❏▲P✰P✰◗❫❛✫✪ ❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❷▼❸ s ✪❝❻ ✈➨❵▼❛❖◗✗■✜✔❂◆❊❳✗◗✤⑥⑦❏▼❩r■➫❲❨◗✜❳♠⑧r❏♣❪✽✼✮✐✰❀❩r❵➆⑥⑦❏♣❪❴❵▼❛✳✐❡◆❊❵r❬✬❩r❵✮P✧◆➊❪❧❲❝❲◆❊❑▼◗ ❴✛❵ ✪✦❭✦❭✦❭✦❭✪❭ ❷▼❘ s ✪❶ ✳☎◆❁✘✻❲❴◗✜✐❈❀↕◆♣✐✦t❖◆♣❳➺◗✗❵r❳✗◗✸✪ ❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❷▼❼

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s s ✪❴ ✒✁ ❳⑨⑧❤◆❊❑▼◗✜❬❖❏▼❩r❬ ✔➦❏▼■☞P✰◗✜❳✏◆❊❵r❏▼❵✻❪❨❞q❩r◗✸✪ ❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ❘▼❸ s ✪❽ ❴➘❪❴❑▼❵r◗✗❬♦✐❋◗✜❳➺❏▼❩r■❖◆♣❵▼❛✫✪ ❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ s❢❻ ☛✯✪❝❻ ❍➃◆✱★❊◆♣❑▲◗❹■☞❥➺❑▼❩✻❲❧❪❴◗✗■➫✐❡◆❊❵r❬⑤❩r❵ ❥➺❳✗❏▼❩✻❲❨◗➺P✰◗✗❵▼❛✳✐✻❪❃★▲◗✗■☞❑▼◗✗❵▲❛✫✪❦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ s ❴ ☛✯✪❶ ❍➃◆✱★❊◆♣❑▲◗❹■☞❥➺❑▼❩✻❲❧❪❴◗✗■➫✐❡◆❊❵r❬⑤❩r❵ ❥➺❳✗❏▼❩✻❲❨◗➺P✰◗✗❵▼❛✳❳❫❪❨❬♠◆✦❪❧❲❧❲❴❥✸✪ ❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ s ❴ ☛✯✪❴ ②✳❵❋◗✤❬❖❩r■✜✔❂◆♣❳✗◗✜✐✰❀➣❥✗❳✗❏▼❩✻❲❴◗✗P✰◗✗❵▼❛✫✪r❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ s♣❷ ☛✯✪❽ ❍➃◆✱★❊◆♣❑▲◗❹P✭❪❨❵✻❪❨P❺◆✦❲ ✪✤❭✦❭❫❭✦❭❪❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ s ☛ ☛✯✪❷ ✇✳❏♣❛♠◆➊❛☞❪❴❏▼❵r❬♦⑥⑦❏▼❩r■➫❩r❵✮⑥❤◆✱★❊◆♣❑▲◗✜P✔❪❨❵✻❪❨P✧◆➊❲ ✪❄❭✦❭✦❭❫❭❪❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ s♣❼ ☛✯✪❘ ❵ ❪✗★q❪❨❬☞❪❴❏▼❵✱✐❈❀➣❩r❵✮■☞❩❍✘❤◆♣❵✮✐❤◆❊❵❋❬♦❩r❵✮⑥❤◆✱★❊◆♣❑▲◗✜P✔❪❨❵✻❪❨P✧◆➊❲ ✪ ❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ☛❋❻ ☛✯✪✭s ❜r❩r❬☞❪❨❏▼❵✱✐✰❀❩r❵✮■☞❩❍✘❤◆♣❵➆✐❤◆♣❵r❬✬❩r❵➆⑥❡◆✱★❊◆❊❑▼◗✜P✔❪❴❵❢❪❴P❺◆➊❲✮✪ ❭✦❭✪❭✦❭✦❭✦❭✪❭✦❭✦❭✦❭✪❭ ☛▼❶

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☛ ✂✁ ❁❄❇☎✄ ✽ ✂ ✆ ❁❄❃✝✄ ✁ ❴➌◆✰P✰❥✗❳➊◆♣❵✻❪❨❞q❩r◗❚✐r◗✗❬❆❚❤❩✻❪❨✐r◗✗❬③◗✗❬☞❛➳❩❋❵✚✐r❏▲P❺◆➊❪❴❵❋◗✤✐✰❀❥❦❛❖❩❋✐r◗✗❬❘✔➦❏▼❵r✐❤◆♣P✰◗✗❵▲❛♠◆➊❲❨◗➺❬⑤❞q❩✻❪☎⑥⑦◗✗■✜❇ P✰◗❫❛✳✐r◗❯✔❂◆➊❪❨■☞◗✜❥▼★▼❏❊❲❨❩r◗✗■➫❲ ◆✔❳✗❏▲P✰⑥r■☞❥✗⑧r◗✗❵r❬☞❪❨❏▼❵♥✐r◗✗❬♦⑥r⑧❋❥➺❵❋❏▲P ✙✗❵r◗✗❬➫❲❧❪❴❥✗❬ ✟❚❲ ❀❥➺❳✗❏▼❩✻❲❨◗➺P✰◗✗❵▼❛♦✐r◗✗❬ ❚❤❩❢❪❴✐r◗✗❬✫✪➘❯➱◗✜✐r❏▼P✧◆➊❪❨❵r◗✤◆✰✐r◗✜❵r❏▼P✚✘r■☞◗✗❩r❬①◗➺❬③◆♣⑥r⑥✻❲❧❪❴❳✏◆➊❛☞❪❴❏▼❵r❬✖❪❨❵r✐r❩r❬➨❛❖■s❪❴◗❫❲❧❲❴◗✗❬✫✪ ❴❭◗✗❬③❥✗❳✗❏▲❩✻❲❨◗✗P✰◗➺❵▼❛❖❬③❑q◆✸❄✗◗✗❩ ✼✟❬①❏▲❵▼❛✜❥❫❛❖❩r✐✻❪❨❥➺❬✜✐❡◆❊❵r❬⑤❲❀➾❪❨❵r✐r❩❋❬☞❛❖■s❪❴◗✰◆♣❩✻❛❖❏▲P✰❏✛✘✻❪❧❲❴◗✍❏▲❩✚◆♣❥➺■☞❏▼❵❤◆♣❩❅❇ ❛☞❪❨❞q❩r◗ ✹❋⑥➢❏▼❩r■✾❲➤◆✍❳✗❏▲❵❋❬☞❛❖■☞❩r❳❫❛☞❪❴❏▼❵❺✐r◗❆★▲❏♣❪❧❛❖❩r■☞◗✗❬➺❣✻✐❈❀↕◆✱★q❪❨❏▲❵❋❬✖❏▲❩♥✐❈❀➣◗✗❵r❑♣❪❴❵❋❬✖❬❖⑥❤◆➊❛☞❪➤◆♣❩ ✼➘❣✻❏▼❩❺⑥✻❲❨❩r❬ ❬❖⑥⑦❥✗❳❫❪❝❜❤❞q❩r◗✗P✰◗✗❵▼❛✳⑥⑦❏▲❩r■❱❲➤◆✔❳✗❏▼❵r❳✗◗➺⑥❢❛☞❪❴❏▼❵✱✐r◗➳❛❖❩r■✎✘✻❪❨❵r◗✗❬✳◗❫❛✳✐❋◗✤P✰❏❊❛❖◗✗❩r■☞❬ ✟✭◗✑✼❋⑥✻❲❨❏▲❬➨❪❴❏▼❵✰✪ ❴❭◗✗❬✍❥➺❳✗❏▼❩✻❲❨◗➺P✰◗✗❵▼❛❖❬❚❲❧❪❨❞❢❩❢❪❴✐r◗✗❬✔❏▲❵▼❛✔❩r❵r◗✱◆♣⑥r⑥✻❲❧❪❴❳✏◆➊❛☞❪❴❏▼❵ ✐❢❪❴■☞◗✗❳❫❛❖◗✱✐❤◆♣❵r❬❹❲✮❀❪❴❵❋✐r❩r❬☞❛❖■s❪❨◗✱❵❤◆▼★❊◆✦❲❨◗❊❣ ⑥⑦❏▲❩❋■♥❲ ◆✡❳➺❏▼❵r❳✗◗✗⑥✻❛☞❪❨❏▲❵ ✐r◗ ✘❤◆➊❛❖◗✏◆❊❩ ✼➘❣✬P❺◆➊❪❴❬✮❥✗❑❢◆➊❲❴◗✗P✰◗✗❵▼❛➆✐❤◆♣❵r❬♥❲❨◗✝❑▼❥✗❵✻❪❴◗ ❳❦❪❃★q❪❝❲❚◆▼★▲◗✗❳✚❲ ◆ ❳✗❏▼❵r❬☞❛❖■☞❩r❳❫❛☞❪❨❏▲❵✮✐r◗✜⑥⑦❏▲■s❛❖❬⑤◗❫❛➫❲➤◆✰⑥❋■☞❏❊❛❖◗✗❳❫❛☞❪❴❏▼❵✱✐❋◗➺❬⑤❳✟✞❊❛❖◗✗❬✫✪ ❵ ◆♣❵r❬③❲ ❀➾❪❨❵r✐r❩r❬➨❛❖■s❪❴◗✰❳♠⑧❢❪❴P✔❪❨❞❢❩❋◗▼❣➢❲◆✱❳✗❏▼❵r❵❤◆➊❪❴❬❖❬⑨◆❊❵r❳✗◗✤✐❋◗➺❬✜✐❋❥➺⑥❢❲➤◆♣❳✗◗➺P✰◗✗❵▼❛❖❬✤✐r◗✗❬❯❚❤❩✻❪❨✐r◗✗❬✤✐❤◆♣❵r❬ ❲❨◗✗❬♦■☞❥✏◆❊❳❫❛❖◗✗❩r■☞❬✾t☞❏▲❩❋◗✜❩r❵➆■✠✞♣❲❨◗③❪❴P✰⑥⑦❏▲■s❛♠◆♣❵▼❛✫✪☛✡☎❵✮P✰❥✗✐r◗✗❳❦❪❨❵r◗❊❣❋❲ ❀➣❥✗❳✗❏▲❩❢❲❴◗✗P✰◗✗❵▲❛✬✐r❩➆❬⑨◆❊❵r❑✰✐❤◆♣❵r❬ ❲❨◗✗❬➳⑥❋■☞❏❊❛❖⑧ ✙✗❬❖◗✗❬③❳✏◆❊■☞✐❢❪➤◆♣❞q❩r◗✗❬➳◗✗❬☞❛③❥✗❑❢◆➊❲❨◗➺P✰◗✗❵▼❛➳❥❫❛❖❩r✐❢❪❴❥✸✪ ❵ ◗✍❵r❏▼P✚✘r■☞◗✗❩r❬❖◗✗❬✜◆♣❩✻❛❖■☞◗✗❬❹◆♣⑥r⑥✻❲❧❪❨❳➊◆ ❇ ❛☞❪❨❏▲❵❋❬♦⑥⑦◗➺❩ ★▲◗✗❵▼❛ ✕❫❛❖■☞◗✤❳❫❪❧❛❖❥➺◗✗❬➺❣❋❛❖◗❫❲❧❲❴◗✗❬✬❞❢❩❋◗✜❲➤◆✔P✰❥❫❛❖❥✗❏▲■☞❏♣❲❴❏▼❑♣❪❴◗✜❏▼❩♥❲❀➣❏✻❳✗❥✏◆♣❵r❏▲❑▼■❖◆♣⑥r⑧✻❪❨◗✛✪ ❵ ◆♣❵r❬✤❲❨◗✗❬◆★q❪❨❵r❑❊❛✔✐r◗✗■☞❵✻❪✙➺■☞◗✗❬✰◆❊❵❋❵r❥✗◗➺❬✗❣➌❩❋❵ ✐r❏▼P❺◆✦❪❨❵r◗❺✐r◗✒❲➤◆✮■☞◗✗❳♠⑧r◗✗■☞❳⑨⑧r◗✱◆♣⑥r⑥➢◗❫❲❨❥❺❲◆ ❯ ❜ ❵ ✢s❯➱❏▲P✰⑥r❩✻❛♠◆➊❛☞❪❨❏▲❵❤◆➊❲❘❜✸❲❴❩✻❪❨✐ ❵ ✖✻❵❤◆❊P✔❪❨❳✗❬▼✦✤◗✗❬☞❛❺◆♣⑥r⑥❤◆♣■☞❩✰✪ ❴➌◆✝❯ ❜ ❵ ◗✗❬☞❛✔❲ ❀➣❥❫❛❖❩r✐r◗ ✐r◗✗❬✰❥➺❳✗❏▼❩❅❇ ❲❨◗✗P✒◗✗❵▼❛❖❬❯❚❤❩✻❪❨✐r◗✗❬✜⑥❤◆♣■✳✐❋◗➺❬③P✰❥❫❛❖⑧r❏✻✐r◗✗❬③❵q❩rP✰❥➺■s❪❨❞q❩r◗✗❬✫✪✃❯✖◗❚✐❋❏▲P❺◆➊❪❴❵r◗✍❳✗❏▲P✰⑥✻❲✙❫❛❖◗❚❲❨◗✗❬✳❛❖◗✗❳⑨⑧❅❇ ❵✻❪❨❞q❩r◗✗❬✳✐❈❀➣◗✑✼❋⑥➢❥✗■s❪❨P✰◗➺❵▼❛♠◆➊❛☞❪❴❏▼❵✟⑥r⑧✛✖✻❬☞❪❴❞q❩r◗✔◆✦❜❡❵✱✐r◗✤P✔❪❨◗✗❩ ✼✟❳✗❏▼P✒⑥❋■☞◗➺❵❋✐r■☞◗✜❲❨◗➺❬✬❥✗❳➺❏▼❩✻❲❨◗✗P✒◗✗❵▼❛❖❬ ✐r◗❱❚❤❩❢❪❴✐r◗✗❬✤◗❫❛✜❲❨◗✗❩r■☞❬❚◗ ✧➘◗❦❛❖❬✜❬①❩r■✜❩r❵ ❬①❏❊❲❧❪❴✐❋◗✛✪ ❴➌◆✷★q❪❨❬❖❩❤◆➊❲❝❪❨❬♠◆➊❛☞❪❴❏▼❵✚✐r◗✗❬✤■☞❥✗❬❖❩✻❲❧❛♠◆➊❛❖❬✜❛♠◆❊❵▼❛✤◗✑✼ ❇ ⑥⑦❥✗■s❪❴P✰◗✗❵▼❛♠◆❊❩ ✼ ❞q❩r◗✮❵q❩rP✰❥➺■s❪❨❞q❩r◗✗❬✱◆♣⑥r⑥❤◆♣■❖◆✌☞❝❛✒❵❋❥➺❳✗◗✗❬❖❬♠◆➊❪❨■☞◗ ✟✟❲◆✚❳✗❏▲P✰⑥r■☞❥✗⑧r◗✗❵r❬➨❪❴❏▼❵ ✐r◗✱❳✗◗✗❬ ⑥r⑧❋❥➺❵❋❏▲P ✙✗❵r◗✗❬✫✪ ❴➌◆ ★q❪❴❬❖❩❡◆✦❲❧❪❴❬⑨◆✦❛☞❪❨❏▲❵✰✐r◗⑤❲ ❀➣❥✗❳✗❏▼❩✻❲❴◗✗P✰◗✗❵▼❛❱✐❈❀➣❩r❵ ❚❤❩✻❪❨✐r◗✜◆❊❩✻❛❖❏▼❩r■➭✐✰❀❩r❵♥❏✛✘✻t☞◗❫❛❱❵❈❀➣◗✗❬☞❛✖⑥❤◆♣❬➭❪❴P✰P✰❥✲❇ ✐✻❪ ◆➊❛❖◗ ◗✦❬①⑥➢❥✗❳❫❪➤◆➊❲❨◗➺P✰◗✗❵▼❛➃❞q❩❤◆♣❵r✐❚❲❨◗■❚❤❩✻❪❨✐r◗➫◗✗❬☞❛✯❛❖■❖◆❊❵r❬①⑥❤◆❊■☞◗✗❵▼❛☎❳✗❏▼P✰P✒◗➭❲ ❀◆✦❪❨■➃❏▼❩✤❲❀➣◗✏◆♣❩❚◗❫❛➃❞q❩✰❀❪❝❲ ❬❖◗❹✐r❥✗⑥✻❲➤◆♣❳✗◗✠✟✔❑▲■❖◆♣❵r✐r◗ ★❢❪❧❛❖◗✗❬❖❬❖◗✸✪●❴➌◆❙★q❪❴❬①❩❤◆✦❲❧❪❨❬♠◆✦❛☞❪❨❏▼❵✱✐r◗✗❬⑤❥➺❳✗❏▼❩✻❲❨◗➺P✰◗✗❵▼❛❖❬ ✔➦❏▼❩r■☞❵✻❪❧❛✳❩❋❵r◗❚◆➊❪❴✐r◗ ⑥r■☞❥✗❳❫❪❨◗➺❩❋❬❖◗✤⑥⑦❏▲❩r■➱❲➤◆✔❳✗❏▲P✰⑥r■☞❥✗⑧r◗✗❵r❬➨❪❴❏▼❵✱✐r◗✗❬⑤⑥r⑧r❥✗❵r❏▼P ✙➺❵❋◗➺❬✬✐r◗✤P✰❥✗❳✏◆❊❵✻❪❨❞q❩r◗✜✐r◗✗❬✌❚❤❩✻❪❨✐r◗✗❬✫✪

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❼ ✒ ⑥r■✖✙✗❬✤❩r❵❋◗ ✘❋■✖✙▼★▼◗❺❥❫❛❖❩r✐r◗✰✐r◗✗❬③❛❖◗✗❳♠⑧r❵✻❪❨❞q❩r◗✗❬❚◗✑✼❋⑥➢❥✗■s❪❨P✰◗➺❵▼❛♠◆➊❲❴◗✗❬✤✐❋◗ ★q❪❨❬❖❩❤◆➊❲❝❪❨❬♠◆➊❛☞❪❴❏▼❵❖✢➤❪❨❵r❬❖⑥✻❪❃❇ ■❖◆➊❛☞❪❴❏▼❵✱⑥❋■☞◗➺P✔❪ ✙✗■☞◗❚✐r◗③❲◆❙★❢❪❨❬❖❩❤◆➊❲❧❪❴❬♠◆➊❛☞❪❨❏▲❵✮◆❊❬❖❬➨❪❴❬☞❛❖❥✗◗③⑥❤◆♣■➫❏▼■☞✐✻❪❴❵❡◆✦❛❖◗✗❩r■✑✦❖❣❡❵r❏▼❩r❬✬⑥r■☞❥✗❬❖◗✗❵▲❛❖◗✗■☞❏▼❵r❬ ❲❨◗✗❬♦P✰❥❫❛❖⑧r❏✻✐r◗✗❬♦✐r◗✜■☞◗✗⑥r■☞❥✗❬❖◗✗❵▼❛♠◆➊❛☞❪❴❏▼❵r❬➫❪❨❵❅✔➦❏▼❑▲■❖◆♣⑥r⑧✻❪❨❞q❩r◗✗❬✳◆♣⑥r⑥✻❲❧❪❴❞q❩r❥✗◗✗❬ ✟✍❲◆✔❬☞❪❴P✍❩✻❲◆✦❛☞❪❨❏▲❵ ❵q❩❅❇ P✰❥✗■s❪❴❞q❩r◗✸✪ ✡✾❵✻❜❤❵ ❵r❏▼❩r❬✰✐r❥❫❛♠◆✦❪❧❲❧❲❴◗✗■☞❏▼❵r❬❚❲❨◗✗❬❺P✰❥❦❛❖⑧❋❏✻✐r◗✗❬✭❪❨P✰⑥✻❲❨❥➺P✰◗✗❵▼❛❖❥✗◗➺❬✰✐❤◆♣❵r❬✔❲❨◗✱❲❨❏▲❑♣❪❨❳❦❪❨◗❫❲ ✁✄✂✆☎✄✂✞✝ ✢●❛③✈➨❬❖❩❡◆✦❲❧❪❴❬⑨◆✦❛☞❪❨❏▲❵✠✟③❥✗❵r❥✗■❖◆✦❲❨◗③✈s❵▲❛❖◗✗■❖◆♣❳❫❛☞❪✗★▼◗❚✐✰❀✦✾❳➺❏▼❩✻❲❨◗✗P✒◗✗❵▼❛❖❬▼✦✥✪

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❻✏❸ ✁ ✸✄✂ ❃◗❁❄❇❄✼ ☎ ✷ ✼ ✆ ✁ ✁ ❃✝✆ ✂ ✼✿✾ ✼✟✞ ✂ ✠✿❇ ❃ ❀ ✼ ✁ ❁❣✸✺✻☛✼✿✾ ✡ ✴ ✡ ✝ ✕✦✛❭✣✡✑✧✛✯✕✗✁☎✕☞☛q✛ ✞✍✌ ✣ ✲⑤✓✖✕✏✙ ✞③✩✧✁☎☛❚✄✎✌ ❴ ❀❥❦❛❖❩❋✐r◗❺✐r◗❺❲ ❀➣❥✗❳✗❏▼❩✻❲❴◗✗P✰◗✗❵▼❛❚✐✰❀❩r❵ ❚❡❩✻❪❴✐❋◗♥❵r◗❺⑥⑦◗➺❩❢❛✭◗✗❵ ❑▼❥✗❵r❥✗■❖◆✦❲✖⑥❤◆♣❬❚❬✫❀◗ ✧✸◗✗❳❫❛❖❩r◗✗■✤◗✗❵ ❑▼■❖◆❊❵❋✐r◗✗❩r■③■☞❥➺◗❫❲❧❲❴◗✸✪➘②⑤❵r◗✔P❺◆❊❞q❩r◗❫❛☞❛❖◗✔✐r◗✤❲ ❀❏✙✘✻t☞◗❫❛➺❣➘◆♣❩✻❛❖❏▼❩r■✚✢➙❏▲❩ ✟✰❛❖■❖◆✱★▼◗✗■☞❬③❲❴◗✗❞q❩r◗❫❲✦✬❲ ❀❥➺❳✗❏▼❩❅❇ ❲❨◗✗P✒◗✗❵▼❛✟✐r❏❊❪❧❛ ✕❫❛❖■☞◗ ❥❦❛❖❩❋✐✻❪❴❥❊❣✬◗✗❬☞❛✟◆✦❲❨❏▲■☞❬ ❳✗❏▲❵r❬➨❛❖■☞❩✻❪❝❛❖◗✸✪✜❯➱◗❫❛➆❏✛✘✻t☞◗❦❛✮◗✗❬☞❛➆⑥✻❲ ◆♣❳➺❥✚✐❡◆❊❵r❬✮❩r❵r◗ ❬❖❏▼❩✑✏❺◗✗■s❪❴◗ ✢ ✌✎✵✬❪❴❵r✐ ❛❖❩r❵r❵❋◗❦❲✏❅✦✜✐❤◆♣❵r❬✤❲◆♣❞❢❩❋◗❦❲❧❲❨◗❺❲❴◗✧P✒❏▼❩❅★▼◗➺P✰◗✗❵▼❛✭✐r❩ ❚❤❩❢❪❴✐r◗✧◗➺❬➨❛❚❳✗■☞❥➺❥✸✪ ❴❭◗ ❳✗❏▼P✒⑥⑦❏▼■s❛❖◗➺P✰◗✗❵▼❛✭✐r❩✩❚❤❩✻❪❨✐r◗♥◗✗❬☞❛✔❥❫❛❖❩r✐✻❪❨❥✱◆❊❩❂✼➄◆✸✘⑦❏▲■☞✐❋❬❚✐r◗❺❲ ◆✮P❺◆❊❞q❩r◗❫❛☞❛❖◗✸✪➭❍➃◆♣■❚◗✑✼❋◗✗P✰⑥✻❲❴◗ ⑥⑦❏▲❩❋■✭❥❫❛❖❩r✐✻❪❨◗✗■✔❲✮❀❥✗❳➺❏▼❩✻❲❨◗✗P✒◗✗❵▼❛✰✐r◗♥❲ ❀↕◆➊❪❨■✒◆♣❩✻❛❖❏▼❩r■✭✐❈❀➣❩r❵ ◆✱★q❪❨❏▲❵➘❣✾❳✗◗❦❲❨❩✻❪❃❇➡❳❫❪➫◗✗❬☞❛✰⑥✻❲➤◆♣❳✗❥✱✐❤◆♣❵r❬ ❩r❵❋◗✤❬❖❏▼❩✑✏❺◗➺■s❪❨◗✜❏✓✒➆✐r◗✗❬✬⑥❤◆❊■s❛☞❪❨❳✗❩✻❲❨◗➺❬✬✐r◗✺✔➦❩rP✰❥✗◗✤❬❖❏▼❵▼❛➫❪❨❵✦t☞◗✗❳❦❛❖❥✗◗✗❬✫✪ ❴❭◗✗❬ P✒❏✻✐ ✙❦❲❨◗✗❬✱✐r◗✚❬①❏▲❩✑✏❺◗✗■s❪❨◗✝✐✻❪✧✟✙✗■☞◗✗❵▼❛➆❬❖◗❫❲❨❏▲❵ ❲❴◗✗❬♥❲ ◆❁✘➢❏▼■❖◆✦❛❖❏♣❪❨■☞◗➺❬✧✐✰❀➣◗✑✼❋⑥⑦❥➺■s❪❨P✰◗✗❵▲❛♠◆➊❛☞❪❨❏▲❵✰✪ ✉q❳⑨⑧r❥✗P❺◆✦❛☞❪❨❞q❩r◗✗P✒◗✗❵▼❛✳❩❋❵r◗✤❬❖❏▼❩✑✏❺◗✗■s❪❴◗③◗✗❬☞❛♦❳✗❏▼P✒⑥⑦❏▼❬❖❥✗◗✳✐✰❀❩r❵✮❳✗❏▲❵r✐❋❩✻❪❝❛✬❏✔✒♥❳❫❪❨■☞❳✗❩✻❲❴◗➳❲❴◗❯❚❤❩❢❪❴✐r◗ ❥❫❛❖❩r✐✻❪❨❥✤◗❫❛♦✐✰❀❩r❵r◗❹❳♠⑧❤◆♣P✚✘r■☞◗✜✐❋◗✤P✰◗➺❬①❩r■☞◗✗❬♦❏✓✒♥❬❖❏▼❵▲❛❱❪❴❵✦t☞◗✗❳❫❛❖❥✗◗✗❬➫❲❨◗➺❬✬⑥❤◆♣■s❛☞❪❴❳✗❩✻❲❨◗✗❬✫✪⑦❯✖◗✗■s❛♠◆✦❪❨❵r◗✗❬ ❬❖❏▼❩✑✏❺◗✗■s❪❴◗✗❬✬⑥➢◗✗❩❅★▼◗➺❵▼❛ ✕❫❛❖■☞◗✠✟❱✘➢❏▼❩r❳❫❲❴◗❯✔➦◗✗■☞P✰❥✗◗✤◗❫❛ ✟❙✔➦❏▼❵r❳❫❛☞❪❴❏▼❵r❵r◗✗P✰◗✗❵▲❛✬❳➺❏▼❵▼❛☞❪❴❵q❩✰✪ ②⑤❵r◗✍✐r◗✗❬➳✐❢❪ ❳✗❩✻❲❧❛❖❥➺❬③✐r◗✔❳✗◗✗❬♦❛❖◗✗❳♠⑧❋❵✻❪❴❞q❩r◗✗❬✜■☞❥✗❬☞❪❨✐r◗❚✐❡◆❊❵r❬⑤❲ ❀➣❏✛✘r❬❖◗✗■✜★❊◆➊❛☞❪❴❏▼❵✟✐r❩✟P✰❏▲❩❅★▼◗✗P✒◗✗❵▼❛ ✐r◗ ❚❤❩✻❪❨✐r◗✗❬✳❬❖❏▼❩❅★▼◗➺❵▼❛➫❛❖■❖◆♣❵r❬❖⑥❡◆❊■☞◗✗❵▼❛❖❬✫✪ ❵ ◗✔❵r❏▼P✚✘r■☞◗✗❩ ✼ ◆♣■s❛☞❪❴❳❫❲❨◗➺❬✖✕➣❍ ❉ ❼ ❴ ❣ ✎✟◗➺■✑☛✘s❊❣✘✗➫◆❊❵ ☛▼❼❊❣✃✉r✉✻❼❋❻✚✙☎⑥❋■☞❥➺❬①◗➺❵▼❛❖◗✗❵▼❛✤❳✗◗➺❬✜✐❢❪★✧➘❥✗■☞◗➺❵▼❛❖◗✗❬ ❛❖◗✗❳♠⑧❋❵✻❪❴❞q❩r◗✗❬⑤✐r◗✺★q❪❨❬❖❩❤◆➊❲❝❪❨❬♠◆➊❛☞❪❴❏▼❵✰✪

(14)

❻▼❻ ✡ ✴✁ ✂✡☛ ✄➆✕✦✛✯✄✚☛❚✌✏✕✦✛➌☛❹✁☎✕✏✑✰✩ ✞ ✌✱✣✡✲⑤✓✖✕✏✙ ✞③✩♥✁✾☛❚✌✏✞ ❴➌◆✷★q❪❨❬❖❩❤◆➊❲❝❪❨❬♠◆➊❛☞❪❴❏▼❵✚✐r◗✗❬❚❥✗❳✗❏▼❩✻❲❴◗✗P✰◗✗❵▼❛❖❬✤◗✑✼✻❪❨❬☞❛❖◗✰✐r◗✗⑥r❩✻❪❨❬❚◆♣❩r❬❖❬☞❪✾❲❨❏▲❵r❑♣❛❖◗✗P✰⑥r❬✜❞q❩r◗✰❲➤◆ ■☞◗✲❇ ❳⑨⑧r◗✗■☞❳♠⑧r◗✔❬❖❩r■⑤❲❨◗➺❬③❥✗❳✗❏▲❩❢❲❴◗✗P✰◗✗❵▲❛❖❬③✐r◗✗❬❯❚❤❩❢❪❴✐r◗✗❬✫✪✆☎❊❩r❬①❞❢❩❋◗✭■☞❥✗❳✗◗✗P✒P✰P✰◗✗❵▼❛➺❣❭❬❖◗✗❩✻❲❨◗✤❲◆❑★q❪❨❬❖❩❤◆➊❲❝❪❃❇ ❬♠◆➊❛☞❪❨❏▲❵ ◗✲✼❋⑥⑦❥✗■s❪❴P✰◗✗❵▼❛♠◆✦❲❨◗✤✐r◗✗❬⑤❥➺❳✗❏▼❩✻❲❨◗➺P✰◗✗❵▼❛❖❬♦❥❫❛♠◆➊❪❝❛⑤⑥➢❏▼❬❖❬☞❪❏✘✻❲❨◗❱✪ ❯➱◗❦❛☞❛❖◗✔❛❖◗✗❳♠⑧❋❵✻❪❴❞q❩r◗❺◗✑✼❋⑥⑦❥➺■s❪❨P✰◗✗❵▲❛♠◆➊❲❨◗✒⑥⑦◗✗❩✻❛ ✕❫❛❖■☞◗✰❩✻❛☞❪❝❲❧❪❨❬❖❥✗◗✒✐❡◆❊❵r❬③❲❨◗❱✘r❩✻❛❚✐r◗✔❳✗❏▲P✰⑥❤◆♣■☞◗✗■✜❩r❵ ⑥r⑧❋❥➺❵❋❏▲P ✙✗❵r◗✤✐✰❀❥✗❳✗❏▲❩✻❲❨◗✗P✰◗➺❵▼❛⑤✐r❥✗❳➺■s❪❧❛✳⑥❡◆❊■➫❩❋❵➆P✰❏✻✐ ✙❫❲❨◗▼❣ ✟✍❲ ❀➣❥✗❳✗❏▼❩✻❲❴◗✗P✰◗✗❵▼❛✳■☞❥✗◗❫❲✯✐❋❩ ❚❤❩❢❪❴✐r◗✸✪ ❴➌◆❊★❊◆✦❲❧❪❨✐✻❪❝❛❖❥✚✐❋❩ P✰❏✻✐ ✙❫❲❴◗✟⑥⑦◗➺❩❢❛ ✕❦❛❖■☞◗✡★▼❥➺■s❪❧❜❤❥✗◗✚⑥❤◆♣■✰❲❴◗✟❳✏◆➊❲❴❳✗❩✻❲⑤◗❦❛❺❲◆ ★❢❪❨❬❖❩❤◆➊❲❧❪❴❬♠◆➊❛☞❪❨❏▲❵ ✐r◗ ❲ ❀➣❥✗❳✗❏▼❩✻❲❴◗✗P✰◗✗❵▼❛➺❣❡⑥r❩✻❪❨❬✳❳✗❏▼P✒⑥❡◆❊■☞❥✗❬♦◆✱★▼◗✗❳✤✐r◗✗❬♦■☞❥✗❬❖❩✻❲❧❛♠◆➊❛❖❬✳◗✑✼❋⑥➢❥✗■s❪❨P✰◗➺❵▼❛♠◆♣❩ ✼❈✪ ❉ ✪ ✎✟◗✗■✎❄✱✤▲❪❨■☞❳♠⑧✞✢ ✕✎✟◗✗■✑☛❬s ✙ ✦✔✐❋❥❦❜❡❵✻❪❝❛✰❲◆✕★q❪❨❬❖❩❤◆➊❲❝❪❨❬♠◆➊❛☞❪❴❏▼❵ ✐❋◗➺❬❺❥✗❳✗❏▼❩✻❲❴◗✗P✰◗✗❵▼❛❖❬❺✐r◗✱❲◆ ✔❂◆✞✝✗❏▲❵ ❬❖❩❢❪✗★❊◆♣❵▼❛❖◗ ✹✃❩r❵ ⑥r⑧❋❥➺❵❋❏▲P ✙✗❵r◗❺✐r◗❺P✰❥✗❳✏◆❊❵✻❪❨❞q❩r◗❺✐r◗✗❬✺❚❤❩❢❪❴✐r◗✗❬✍❬✫❀➾❪❨❵▼❛❖◗✗■☞⑥r■✖✕❫❛❖◗♥◗✗❵ ★q❪❴❬①❩❤◆✦❲❧❪❨❬♠◆❊❵▼❛ ❩r❵✩❚❤❩✻❪❨✐r◗♥❬✱❀➣❥✗❳✗❏▲❩❢❲➤◆♣❵▼❛✠✟✱❛❖■❖◆▼★▲◗✗■☞❬✭❩❋❵ ❳✗❏▼❵r✐r❩✻❪❧❛❚❏▼❩ ◆♣❩✻❛❖❏▲❩❋■❚✐✰❀❩r❵ ❏✛✘r❬☞❛♠◆♣❳❫❲❴◗❺❬①❏❊❲❧❪❴✐❋◗✛✪✝✡✾❵ ❏✛✘r❬❖◗✗■✜★❊◆♣❵▲❛✰❳✗◗❺⑥r⑧r❥✗❵r❏▼P ✙➺❵❋◗▼❣➃❞❢❩❢❪➫⑥➢◗✗❩✻❛✝✕❦❛❖■☞◗ ❬☞❛♠◆➊❛☞❪❴❏▼❵r❵❤◆➊❪❴■☞◗❺❏▼❩✩★❊◆❊■s❪◆✸✘❢❲❴◗✱◆♣❩➄❳➺❏▼❩r■☞❬✔✐r❩ ❛❖◗✗P✰⑥r❬➺❣✃❪❧❲♦◗✗❬☞❛✰⑥➢❏▼❬❖❬☞❪❏✘✻❲❨◗♥✐✰❀◆✱★▲❏♣❪❨■✭❩r❵❋◗ ✘⑦❏▲❵r❵❋◗❺❪❴✐❋❥➺◗ ✐r◗♥❲ ❀❥➺❳✗❏▼❩✻❲❨◗➺P✰◗✗❵▼❛✫✪✖❯✖◗✗⑥⑦◗✗❵r✐❤◆♣❵▲❛✔❲◆ ⑥✻❲❨❩r⑥❤◆♣■s❛✖✐r◗✗❬■❚❤❩✻❪❨✐r◗✗❬✖❑❢◆❁❄✗◗✗❩ ✼✰❏▼❩✔❲❝❪❨❞q❩✻❪❴✐❋◗➺❬✖❬①❏▲❵▼❛➭❛❖■❖◆❊❵❋❬❖⑥❤◆♣■☞◗➺❵▼❛❖❬➭◗❫❛➭❲❴◗✗❩r■➭P✰❏▲❩ ★▲◗✗P✰◗➺❵▼❛➫◗✗❬☞❛ ❪❨❵✛★❢❪❨❬☞❪❏✘✻❲❨◗ ✟✬❲✮❀❏✛✘r❬❖◗✗■✜★❊◆✦❛☞❪❨❏▼❵❚✐✻❪❨■☞◗✗❳❦❛❖◗✸✪q❍✯❏▲❩❋■➃⑥⑦❏▲❩❅★▼❏❊❪❨■➌❏✛✘r❬❖◗✗■✜★▲◗✗■✯❲✮❀❥✗❳➺❏▼❩✻❲❨◗✗P✒◗✗❵▼❛☎✐❈❀➣❩r❵❱❚❤❩❢❪❴✐r◗ ❪❧❲✸◗✗❬☞❛✖❵r❥✗❳✗◗✗❬❖❬♠◆➊❪❴■☞◗✬✐r◗⑤❛❖■☞❏▲❩ ★▲◗✗■✖✐r◗✗❬➭❛❖◗✗❳♠⑧r❵✻❪❨❞q❩r◗✗❬➫⑥⑦❏▲❩r■✾❲❨◗③■☞◗➺❵❋✐r■☞◗❆★❢❪❨❬☞❪❏✘✻❲❨◗✛✪ ❵ ◆❊❵❋❬➭❲❴◗⑤❳✏◆❊✐r■☞◗ ✐r◗✍❲◆❑★q❪❴❬❖❩❡◆✦❲❧❪❴❬⑨◆✦❛☞❪❨❏▲❵✟◗✑✼❋⑥➢❥✗■s❪❨P✰◗➺❵▼❛♠◆➊❲❴◗❊❣❤❛❖■☞❏❊❪❨❬✜P✰❥❦❛❖⑧❋❏✻✐r◗✗❬➳⑥⑦◗✗❩❅★▲◗✗❵▼❛ ✕❫❛❖■☞◗✭✐❢❪❴❬☞❛☞❪❨❵r❑▼❩r❥✗◗✗❬✫✹❡❲◆ ❛❖◗✗❳♠⑧❋❵✻❪❴❞q❩r◗⑤✐r◗✗❬✃❛❖■❖◆❊❳✗◗✗❩r■☞❬ ✢➙⑥❤◆♣■➱◆➊t☞❏▲❩✻❛✾✐r◗♦❳✗❏▼■☞⑥r❬✾❥❦❛❖■❖◆♣❵r❑▼◗✗■☞❬▼✦❖❣➊❲❴◗✗❬✾❛❖◗✗❳♠⑧r❵❢❪❴❞q❩r◗✗❬➭✐r◗♦✐❋◗➺❵❋❬☞❪❝❛❖❥ ✢ ✘❤◆♣❬❖❥✗◗✜❬❖❩r■✬❲ ❀➣❏▼⑥✻❛☞❪❨❞❢❩❋◗❁✦➱◗❫❛♦❲ ◆✰❳➺❏▼P✚✘❢❪❴❵❤◆➊❪❨❬❖❏▲❵ ✐r◗✗❬♦✐r◗✗❩ ✼➆⑥r■☞❥✗❳✗❥➺✐❋◗➺❵▼❛❖◗✗❬◆✢➙⑥❤◆❊■⑤◆❊✐❋✐✻❪❝❛☞❪❨❏▼❵➆✐r◗ ❳⑨⑧❤◆✦❲❨◗✗❩r■♦◗❫❛⑤✐✰❀➣❥✗❵r◗✗■☞❑♣❪❴◗P✦✥✪ ✟✡✠☞☛✌✠✍✟ ✎✑✏✓✒✕✔✗✖✙✘✍✚✜✛✙✏✣✢✙✏✓✤✦✥★✧✪✩✡✒✫✏✓✛✙✧✆✤ ❯✖◗❫❛☞❛❖◗✤P✰❥❫❛❖⑧r❏✻✐r◗✜◗✗❬☞❛⑤■☞❥➊◆➊❲❧❪❴❬❖❥✗◗✜⑥❤◆♣■✖❲ ❀↕◆➊t☞❏▲❩❢❛♦✐r◗✤❳✗❏▼■☞⑥r❬♦❥❫❛❖■❖◆♣❵r❑▲◗✗■☞❬✫✪ ❴❭◗✗❬♥❳✗❏▼❩r■✎✘⑦◗➺❬✧■☞◗➺⑥❋■☞❥➺❬①◗➺❵▼❛♠◆♣❵▼❛✱✐r◗✗❬♥✐r❥✲✔➦❏▼■☞P✧◆➊❛☞❪❨❏▲❵r❬❺✐❡◆❊❵r❬✒❲❴◗✟❛❖◗✗P✰⑥r❬❊✢ ✌➨❛☞❪❴P✰◗✟❲❧❪❴❵❋◗➺❬ ✏✯✦❖❣☎❲❴◗ ❳✗❏▼❩r■❖◆❊❵▼❛ ✢ ✌①❬☞❛❖■☞◗✏◆❁✤✟❲❝❪❨❵r◗✗❬✑✏❅✦③◗❫❛✤❲➤◆ ❛❖■❖◆➊t☞◗➺❳❫❛❖❏♣❪❴■☞◗✰✐r◗✗❬✍⑥❤◆❊■s❛☞❪❨❳✗❩✻❲❨◗➺❬✷✢ ✌❖⑥❡◆✦❛❖⑧ ❲❝❪❨❵r◗✗❬✑✏❅✦➭t☞❏▲❩❋◗➺❵▼❛ ❩r❵✮■☞❏♣❲❴◗✜❪❨P✰⑥➢❏▼■s❛♠◆♣❵▲❛⑤✐❤◆♣❵r❬➫❲ ◆❙★❢❪❨❬❖❩❤◆➊❲❧❪❴❬♠◆➊❛☞❪❨❏▲❵♥◗✑✼❋⑥⑦❥➺■s❪❨P✰◗✗❵▲❛♠◆➊❲❨◗✛✪ ❴❭◗✗❬✾⑥r■☞◗✗P✔❪✚✙✗■☞◗✗❬➭❬❖❏▲❵▼❛➭✐r◗✗❬➃❲❧❪❨❑▲❵r◗✗❬✾❞q❩✻❪❤❩r❵r◗ ✔➦❏❊❪❨❬✃❲➤◆♣❳♠⑧r❥✗◗✗❬✾✐❤◆❊❵❋❬➃❲❨◗ ❚❤❩❢❪❴✐r◗✺✢➙◗✗❵✒❑▼❥✗❵r❥✗■❖◆✦❲r⑥⑦◗✗■✜❇ ⑥⑦◗✗❵r✐✻❪❨❳➺❩❢❲➤◆➊❪❴■☞◗✗P✰◗✗❵▼❛ ✟⑤❲ ❀❥➺❳✗❏▼❩✻❲❨◗➺P✰◗✗❵▼❛▼✦➌❬①❩❍✘✻❪❨❬❖❬❖◗✗❵▼❛☎❲❨◗✗❬☎❛❖■❖◆♣❵r❬✎✔➦❏▼■☞P❺◆✦❛☞❪❨❏▼❵r❬➃◗❫❛➭P✒❏▼❩❅★▼◗➺P✰◗✗❵▼❛❖❬ ✐r◗❹❲✮❀❥✗❳✗❏▲❩✻❲❨◗✗P✰◗➺❵▼❛✫✪❤❴✸◗✤P✰❏▲❩❅★▼◗✗P✒◗✗❵▼❛✜◗❫❛✳❲◆❺❳✗❏▲❩❋■✎✘r❩r■☞◗❚✐❋◗✤❲ ◆✔❲❝❪❨❑▲❵❋◗✜❛❖■❖◆❊✐❋❩✻❪❴❬①◗➺❵▼❛③❲ ❀➣❥✗❳✗❏▲❩❢❲❴◗✲❇ P✰◗✗❵▼❛✫✪ ✡✾❵♥⑥❋■❖◆✦❛☞❪❨❞q❩r◗③❳➺◗✗❬✖❲❧❪❨❑▲❵r◗✗❬✖❳✗❏▼❵r❬☞❪❨❬☞❛❖◗✗❵▲❛✖◗✗❵♥❩r❵✒❲✭✬♣❳♠⑧r◗✗■✖✐r◗③⑥⑦◗❫❛☞❪❝❛❖◗✗❬➫⑥❤◆♣■s❛☞❪❨❳➺❩❢❲❴◗✗❬➫✐❤◆♣❵r❬ ❲❨◗✺❚❤❩✻❪❨✐r◗ ◗❡✐r◗✗❬✌✘r❩✻❲❧❲❴◗✗❬⑤✐✰❀➣⑧✛✖✻✐r■☞❏▼❑ ✙✗❵r◗✗❬✬❬❖❏▲❵▼❛⑤❬❖❏▲❩ ★▲◗✗❵▼❛♦❩✻❛☞❪❧❲❝❪❨❬❖❥✗◗✗❬✫✪ ❴❭◗✗❬ ✌①❬☞❛❖■☞◗✏◆✸✤✬❲❧❪❴❵r◗✗❬✑✏✬❬❖◗✾⑥r■☞❏✻✐r❩✻❪❨❬❖◗✗❵▼❛➌❞❢❩❡◆❊❵r✐❹❩r❵r◗➭P❺◆✦❛☞❪✙✗■☞◗☎❳✗❏♣❲❴❏▼■❖◆❊❵▼❛❖◗✃❛❖◗❫❲❝❲❨◗➭❞❢❩❋◗➱✐❋◗☎❲ ❀◗➺❵❋❳➺■☞◗

(15)

❻✏❶ ◗✗❬☞❛✾❪❴❵➊t☞◗➺❳❫❛❖❥✗◗➫✐❤◆♣❵r❬✃❲❴◗ ❚❤❩✻❪❨✐r◗ ✟③❩❋❵r◗♦⑥⑦❏▲❬➨❪❝❛☞❪❨❏▲❵✍❜✯✼❋❥✗◗✸✪✘❴ ❀❪❴❵✦t☞◗✗❳❫❛☞❪❨❏▲❵✔⑥➢◗✗❵r✐❡◆❊❵▼❛➭❩r❵r◗♦❳✗◗✗■s❛♠◆➊❪❴❵r◗ ⑥⑦❥✗■s❪❴❏✻✐r◗✜✐❋◗✜❛❖◗✗P✒⑥❋❬✳⑥r■☞❏✻✐❋❩✻❪❝❛⑤❩r❵ ❛❖■❖◆❊❳✗❥✜❳✗❏❊❲❨❏▼■☞❥✜✐❤◆❊❵❋❬➫❲❨◗✺❚❤❩✻❪❨✐r◗✸✪ ②⑤❵r◗✰✐r◗✗■☞❵✻❪✙✗■☞◗✒P✰❥❫❛❖⑧r❏✻✐r◗✰■☞◗✗⑥r■☞❥✗❬❖◗✗❵▼❛❖◗✰❲➤◆✒❛❖■❖◆✦t☞◗✗❳❫❛❖❏❊❪❨■☞◗✰✐✰❀❩r❵r◗✰⑥❤◆♣■s❛☞❪❴❳✗❩✻❲❨◗✰✐❤◆❊❵❋❬✜❲❴◗❱❚❤❩❢❪❴✐r◗ ✢ ✌①⑥❤◆➊❛❖⑧➆❲❧❪❨❵r◗✗❬✑✏✯✦❆✪ ✡✾❵✮❪❴P❺◆♣❑❊❪❨❵❤◆♣❵▲❛③✐r◗✗❬⑤⑥❤◆❊■s❛☞❪❨❳✗❩✻❲❨◗➺❬③❥✗P✰◗❫❛☞❛♠◆❊❵▼❛③✐r◗✤❲◆✰❲❨❩rP✔❪✚✙✗■☞◗❊❣❡❲❨◗➺❩❋■♦❛❖■❖◆ ❇ t☞◗✗❳❫❛❖❏❊❪❨■☞◗✱◗✗❬☞❛✔❏✙✘❢❛❖◗➺❵q❩r◗ ❞q❩❤◆❊❵❋✐ ❩❋❵r◗♥⑥r⑧r❏♣❛❖❏▼❑▲■❖◆♣⑥r⑧✻❪❨◗♥◗✗❬☞❛✭◗✑✼❋⑥⑦❏▲❬❖❥✗◗♥⑥⑦◗✗❵r✐❤◆♣❵▼❛✒❩r❵➄❛❖◗✗P✰⑥r❬ ✐r❏▼❵r❵r❥✸✪ ❵ ◆♣❵r❬➫❲❨◗✗❬✳❥✗❳✗❏▼❩✻❲❴◗✗P✰◗✗❵▼❛❖❬♦❬☞❛♠◆➊❛☞❪❴❏▼❵r❵❤◆➊❪❨■☞◗➺❬✗❣✻❲❨◗✗❬ ✌①❬☞❛❖■☞◗✏◆❁✤✰❲❝❪❨❵r◗✗❬✑✏❺◗❫❛♦❲❨◗✗❬✍✌⑤⑥❤◆➊❛❖⑧✱❲❧❪❨❵r◗✗❬✑✏✰❬❖❏▲❵▼❛ ❳✗❏▼❵❅✔➦❏▲❵❋✐r❩r◗✗❬ ◗✾◗❫❲❧❲❴◗✗❬❺■☞◗✗⑥r■☞❥✗❬❖◗✗❵▼❛❖◗✗❵▲❛✧❲❴◗✗❬✰❲❧❪❴❑▼❵r◗✗❬❺✐r◗✮❳➺❏▼❩r■❖◆♣❵▼❛ ✌❖❬☞❛❖■☞◗✏◆♣P❅❲❧❪❴❵❋◗➺❬ ✏ ❞q❩✻❪③❬❖❏▲❵▼❛ ❛♠◆♣❵r❑▼◗➺❵▼❛❖◗✗❬♦◗✗❵ ❛❖❏▲❩❢❛✳⑥⑦❏❊❪❨❵▼❛➳◆♣❩✾★▲◗✗❳❫❛❖◗✗❩r■✌★❢❪❧❛❖◗✗❬❖❬❖◗✸✪ ❯➱◗➺❬✃❛❖■☞❏♣❪❴❬✾❛✮✖❋⑥⑦◗✗❬➭✐r◗ ★q❪❨❬❖❩❤◆➊❲❝❪❨❬♠◆➊❛☞❪❴❏▼❵❚⑥⑦◗✗❩❅★▲◗✗❵▼❛ ✕❦❛❖■☞◗✬■☞◗✗⑥r■☞❥✗❬❖◗✗❵▲❛❖❥✗❬➭◗✑✼❋⑥➢❥✗■s❪❨P✒◗✗❵▼❛♠◆➊❲❴◗✗P✰◗✗❵▲❛✖◗✗❵ ❪❨❵✦t☞◗✗❳❫❛♠◆❊❵▼❛✳❩❋❵➆P❺◆➊❛❖❥➺■s❪ ◆♣❩➆❥❫❛❖■❖◆♣❵r❑▲◗✗■➫✐❡◆❊❵r❬❱❲❴◗ ❚❤❩✻❪❨✐r◗✤❞q❩✻❪➌◗✗❬☞❛♦◗✗❵✮❑▲❥✗❵r❥✗■❖◆➊❲✸❛❖■❖◆♣❵r❬❖⑥❡◆❊■☞◗✗❵▼❛✫✪ ✇⑤❏▼❩r❬✤◆✱★▲❏▼❵r❬✜✐r❥st ✟ ★❋❩ ❞❢❩❋◗✒✐❋◗✭❲❀◗➺❵❋❳➺■☞◗✰⑥⑦❏▲❩ ★❊◆✦❪❧❛ ✕❫❛❖■☞◗✭❪❨❵✦t☞◗✗❳❫❛❖❥✗◗✭⑥⑦❏▲❩❋■✜■☞◗➺⑥❋■☞❥➺❬①◗➺❵▼❛❖◗✗■✜✐r◗✗❬ ✌①❬☞❛❖■☞◗✏◆✸✤✰❲❧❪❨❵r◗✗❬✑✏ ✪ ❵ ◆♣❵r❬➫❲❨◗✜❳✏◆❊❬✬✐✰❀❥➺❳✗❏▼❩✻❲❨◗➺P✰◗✗❵▼❛❖❬♦❑q◆✸❄✗◗✗❩ ✼➘❣❋✐r◗✜❲ ◆❙✔➦❩rP✰❥➺◗✜⑥⑦◗✗❩✻❛♦❲◆✔■☞◗✗P✒⑥❢❲➤◆ ❇ ❳✗◗✗■▼✪ ❴❭◗✗❬✜❲❧❪❨❑▲❵r◗✗❬✤✐❋◗✭❛❖■❖◆➊t☞◗✗❳❦❛❖❏♣❪❨■☞◗✡✢ ✌①⑥❤◆➊❛❖⑧✚❲❧❪❴❵r◗✗❬✑✏❅✦③❬❖❏▼❵▼❛✤❏✙✘❢❛❖◗➺❵q❩r◗✗❬✤❥✗❑q◆✦❲❨◗✗P✰◗➺❵▼❛✤◗✗❵✝❪❨❵✦t☞◗✗❳❫❛♠◆❊❵▼❛ ✐r◗✗❬③⑥❤◆♣■s❛☞❪❴❳✗❩✻❲❨◗✗❬✳✐❡◆❊❵r❬✬❲❨◗◆❚❤❩✻❪❨✐r◗✸✪ ❵ ◗❹❲➤◆✰⑥⑦❏▲❩❋✐r■☞◗❚✐r◗❹P✧◆♣❑▼❵r❥✗❬☞❪❴❩❋P ◗✗❬☞❛➳❩❢❛☞❪❝❲❧❪❴❬①❥➺◗✍⑥➢❏▼❩r■❱❲❴◗✗❬ ❲❧❪❴❞q❩✻❪❨✐r◗✗❬➺❣❡✐r◗✗❬⑤❑▲❏▼❩✻❛☞❛❖◗✗❬➫✐✰❀⑧q❩✻❪❧❲❴◗✍⑥➢❏▼❩r■✖❲❨◗✗❬✳❑q◆✸❄✸✪ ✎✚◆➊❲❴⑧❋◗➺❩❋■☞◗➺❩❋❬❖◗✗P✒◗✗❵▼❛➭❳➺◗✗❬✾❛❖◗✗❳♠⑧r❵❢❪❴❞q❩r◗✗❬➭⑥➢◗✗❩❅★▼◗✗❵▲❛✖⑥⑦◗✗■s❛❖❩r■✎✘➢◗✗■✾❲❀➣❥✗❳✗❏▲❩❢❲❴◗✗P✰◗✗❵▲❛ ◗q⑥❤◆♣■☎◗✑✼❋◗✗P✰⑥✻❲❴◗ ❬☞❪➘❲ ◆❚✐❋◗➺❵❋❬☞❪❝❛❖❥✜◗❫❛➫❲ ◆❹❛❖◗➺P✰⑥⑦❥✗■❖◆✦❛❖❩r■☞◗❹✐r◗✗❬➫P❺◆✦❛❖❥✗■s❪ ◆❊❩ ✼ ❵❋◗✜❬❖❏▲❵▼❛➫⑥❤◆♣❬✖❲❨◗✗❬♦P ✕✗P✒◗✗❬➫❞q❩r◗✜❳✗◗❫❲❧❲❴◗✗❬ ✐r❩❋❚❤❩✻❪❨✐r◗❚◆♣❩✱⑥⑦❏♣❪❴❵▼❛✳✐❈❀➾❪❨❵✦t☞◗✗❳❫❛☞❪❴❏▼❵✰✪ ❍✯❏▲❩r■✾❵r◗✬⑥❤◆❊❬✾⑥⑦◗➺■s❛❖❩❋■✎✘➢◗✗■✾❲❴◗ ❚❤❩✻❪❨✐r◗❊❣▼✐r◗✗❬✃❛❖◗➺❳⑨⑧r❵✻❪❨❞q❩r◗✗❬✖✐✰❀➣❥❫❲❨◗✗❳❦❛❖■☞❏♣❲❃✖❋❬①◗➫◗❫❛➱✐r◗✬⑥r⑧r❏♣❛❖❏✸❇➐❳♠⑧✻❪❨P✔❪❴◗ ❬❖❏▼❵▼❛✤❥✗❑❢◆➊❲❴◗✗P✰◗✗❵▼❛❹✐❋❥➺❳✗■s❪❧❛❖◗✗❬✤⑥➢❏▼❩r■❆★q❪❴❬①❩❤◆✦❲❧❪❨❬❖◗✗■③❲❴◗✗❬③❲❧❪❴❑▼❵r◗✗❬✜✐r◗✔❛❖◗✗P✒⑥❋❬✫✪■❴✯◆❺❛❖◗✗❳♠⑧r❵❢❪❴❞q❩r◗✰✐r◗✗❬ ✘r❩❢❲❝❲❨◗✗❬❚✐✰❀⑧✛✖❋✐❋■☞❏▲❑☞✙✗❵r◗✗❬❚◗✗❬☞❛✚✘❤◆♣❬❖❥✗◗❺❬❖❩r■➳❲✮❀❥❫❲❴◗✗❳❫❛❖■☞❏❊❲❃✖✻❬❖◗❺✐r◗✰❲ ❀➣◗✏◆♣❩✰✪ ✡③❩❤◆♣❵r✐✝❲❨◗✗❬❚❥❫❲❨◗➺❳❫❛❖■☞❏✻✐r◗✗❬ ❬❖❏▼❵▼❛❚⑥✻❲❨❏▲❵❋❑▲❥✗◗✗❬✜✐❤◆♣❵r❬✤❲❨◗❑❚❤❩✻❪❨✐r◗♥◆✱★▼◗➺❳❺❩❋❵ ❳✗◗✗■s❛♠◆✦❪❨❵ ★▼❏❊❲❧❛♠◆❊❑▼◗❊❣❭✐❋◗➺❬✬✘r❩✻❲❧❲❴◗✗❬❚✐❈❀➣⑧✛✖✻✐r■☞❏▼❑ ✙✗❵r◗✗❬ ❬❖◗❯✔➦❏▼■☞P✰◗✗❵▲❛ ✟❚❲ ◆✍❳➊◆➊❛❖⑧r❏✻✐r◗❊❣❋✐r◗③❲❀❋❏✫✼ ✖❋❑☞✙✗❵r◗ ✟✍❲✮❀◆♣❵r❏✻✐r◗✸✪ ✡✾❵✧❪❴❬❖❏♣❲ ◆❊❵▼❛♦✐r◗✗❬➫⑥❡◆❊■s❛☞❪❨◗✗❬♦✐✰❀❥❫❲❴◗✗❳✲❇ ❛❖■☞❏✻✐r◗✗❬✜◗❫❛✜◗✗❵ ✔❂◆✦❪❨❬♠◆♣❵▲❛❯★❊◆♣■s❪❴◗✗■③❲❨◗✚★▼❏❊❲❧❛♠◆♣❑▲◗❊❣❡❛❖❏▼❩✻❛❖◗✗❬③❲❴◗✗❬✜❳✗❏▼P✚✘✻❪❨❵❤◆➊❪❴❬❖❏▼❵r❬⑤✐r◗ ✌☞❛☞❪❨P✰◗❚❲❧❪❨❵r◗✗❬✑✏ ◗❫❛✳❬➨❛❖■☞◗➊◆❁✤❺❲❧❪❴❵❋◗➺❬ ✏✒⑥⑦◗✗❩❅★▲◗✗❵▼❛ ✕❫❛❖■☞◗✤❏✛✘✻❛❖◗✗❵q❩r◗✗❬✫✪ ❴❭◗✗❬✬❛❖◗✗❳♠⑧r❵✻❪❨❞q❩r◗✗❬③✐r◗✤⑥r⑧r❏♣❛❖❏❁❇➡❳♠⑧❢❪❴P✔❪❨◗❚◆❊⑥❋⑥✻❲❝❪❨❞q❩r❥✗◗✗❬➳◆♣❩ ❚❡❩✻❪❴✐❋◗❚❵r◗✜❲❨◗❚⑥⑦◗✗■s❛❖❩r■✎✘⑦◗➺❵▼❛③⑥❤◆♣❬✳❵r❏▼❵ ⑥✻❲❨❩r❬ ✹✻◗❫❲❧❲❴◗✗❬✖⑥r■☞❏✻✐r❩❢❪❴❬❖◗✗❵▼❛✖❩r❵❺❛❖■❖◆♣❳✗◗➺❩❋■■★❢❪❨❬☞❪❏✘✻❲❨◗❙✢➙P❺◆➊❛☞❪✚✙✗■☞◗③❳✗❏❊❲❨❏▲■❖◆♣❵▼❛❖◗P✦➃◗✗❵✷✔➦❏✻❳✏◆➊❲❝❪❨❬♠◆♣❵▼❛➱✐r◗✬❲ ◆ ❲❨❩rP✔❪✚✙✗■☞◗✍◗➺❵ ❩r❵✮⑥➢❏♣❪❴❵▼❛⑤✐r❩✡❚❤❩✻❪❨✐r◗✤❏▼❩✱◗✗❵➆❩❢❛☞❪❝❲❧❪❴❬⑨◆❊❵▼❛✳❩❋❵✱❲◆❊❬①◗➺■✬⑥➢❏▼❩r■➫⑥❋■☞❏✻✐r❩✻❪❨■☞◗✤❩r❵r◗✜❲❧❪❨❑▲❵r◗ ❳✗❏♣❲❴❏▼■☞❥✗◗✜✐❤◆❊❵❋❬➫❲❨◗✺❚❤❩✻❪❨✐r◗✤⑥❤◆♣■➫■☞❥✏◆♣❳❦❛☞❪❨❏▼❵✱⑥r⑧r❏♣❛❖❏❁❇➡❳♠⑧❢❪❴P✔❪❨❞❢❩❋◗✛✪

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