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Modélisation conjointe de données longitudinales et de durées de vie

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HAL Id: tel-00002667

https://tel.archives-ouvertes.fr/tel-00002667

Submitted on 1 Apr 2003

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Modélisation conjointe de données longitudinales et de

durées de vie

Jean-François Dupuy

To cite this version:

Jean-François Dupuy. Modélisation conjointe de données longitudinales et de durées de vie.

Mathé-matiques [math]. Université René Descartes - Paris V, 2002. Français. �tel-00002667�

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✓✕✔✗✖✙✘✛✚✢✜✤✣✦✥✧✖✛★✩✚✗✔ ✪ ✫✬✚✭✖✙✮✯✖✛★✩✚✗✔✦✰ ✱ ✓ ✲✳✘✤✴ ✵✷✶ ★✹✸✺★✻✔✦✮✼★✩✘ ✵ ✰ ✽✾✽ ✿ ❀❂❁❄❃✛❅❇❆❄❈❊❉❋❈❍●■❃✙●❑❏▲❈❍●❑❏▲▼❖◆✷❉◗P❄❉❘❈❙P✷◆✷❚❱❯❉✕❉❲❈❳P❄❉❩❨❄❏❬❉ ✿❲❭ ❪❴❫❵❪ ❛❝❜❊❞✢❡❴❢❘❣✐❤❦❥❧❞♥♠♣♦✻❡❴q✛rsq♣❤❧❥❦❤❧❞✻❣✐❜❍❞t❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✤❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ❪①✇ ❪❴❫③② ④◗❡❲⑤❖⑥❜❍❥❦❜❊❞✢⑤♣❜✤⑦❍❜❊⑧♣❞✻❢♣♦⑨❜⑩❫✤❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✤❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ❪①❶ ❪❴❫③②❘❫❵❪ ④t❷❜❊⑦❊rs⑧♣❤❧❞⑨❸❙❜❊❞✢⑤♣❜✤⑦❊❜❍⑧♣❞⑨❢♣♦✻❜❹❫✈❫✉❫✈❫✉❫✈❫✤❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ❪①❶ ❪❴❫③②❘❫③② ❺✭❞✻❣✐❤❧❸❻r❼❣✐❤❦❡s⑧❽⑤♣❢❾❸❳r❼❿❘❤❦❸➀❢♣❸➁⑤♣❜➃➂❲♦⑨rs❤❦❞✻❜❊❸➀q♣❥❦rs⑧♣⑦❍❜➃⑤✛rs⑧♣❞➄❢✙⑧➅❸❙❡❲⑤❝⑥❜❊❥❧❜ ⑤♣❜✤❞⑨❢♣♦✹➂❲❤❦❜✤♠✛rs♦⑨rs❸❾❷❜➆❣✐♦✻❤❦➇✕❢♣❜✤r■➂❴❜❍⑦✉⑦❍❜❊⑧♣❞✻❢♣♦⑨❜❂⑥r❙⑤✙♦⑨❡❴❤❵❣✐❜➈❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ②s➉ ➊ ➋✼❉❋➌❽➍❝P➏➎❉❲❅▲❉❩❈❊❉❲➌✒❏❬➐✝❃♣❚❑❃✛➌➑❯❉✕●■❚➒❏▲▼❖◆❄❉❩P❄❉✳➓✉➍❲➔ ➊→❭ ②❘❫❵❪ ➣✭♦❲❷❜❍❞⑨❜❍⑧✕❣✐r➒❣✐❤❧❡❴⑧↕↔✯❷❜❊⑧➏❷❜❍♦✐rs❥❧❜✒❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✤❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ②s✇ ②❘❫③② ④t❷❜➆❣✐➙♣❡❲⑤♣❜✤⑤♣❢↕❸❻r❑❿✙❤❧❸➀❢♣❸✺⑤♣❜✏➂❲♦✐rs❤❧❞⑨❜❊❸➛q♣❥➜rs⑧✙⑦❊❜✤♠✛rs♦✹❣✐❤❦❜❍❥❦❥❧❜ ❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ②s➝ ②❘❫③②❘❫❵❪ ➞➟⑧➠❣✐♦⑨❡❲⑤♣❢♣⑦➆❣✐❤❧❡❴⑧➈❫✤❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✤❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ②s➝ ②❘❫③②❘❫③② ❛❄r➄➂❲♦⑨rs❤❦❞✻❜❊❸➀q♣❥❦rs⑧♣⑦❍❜✏♠✛rs♦✻❣⑨❤❦❜❍❥❦❥❦❜➡⑤♣❜✉➢✗❡①❿➤❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ②s➥ ②❘❫③②❘❫➦✇ ❛❝❡❴❤❖⑤♣❜✤♠♣♦✻❡❴q✛rsq♣❤❧❥❦❤❵❣❘❷❜✦⑤♣❜✤❥❦r➀❞✻❣➧r❼❣✐❤❦❞✹❣✐❤❧➇❲❢✙❜✏⑤♣❜✤♦✐rs⑧♣↔✠❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ✇✙❪ ②❘❫③②❘❫➩➨ ❺✭❞✻❣✐❤❧❸❻r❼❣✐❤❦❡s⑧➃⑤♣❜✤❥➜r➀➫❬❡❴⑧♣⑦➆❣✐❤❧❡❴⑧➭⑤♣❜✤♦⑨❤❦❞✻➇✕❢♣❜➯❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ✇➠➲ ②❘❫③②❘❫③➲ ➣✭♦⑨❤❦❞✻❜✤❜❊⑧↕⑦❊❡❴❸❙♠✙❣✐❜✏⑤✙❜❊❞➳❜➆❿↕rs❜❍➇✕❢♣❡ ❫✈❫✤❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ✇❴➝ ②❘❫➦✇ ➣✭♦⑨❡s♠♣♦⑨❤➆❷❜❍❣❘❷❜❍❞➳rs❞✻➵❲❸❙♠✙❣✐❡s❣⑨❤❦➇✕❢♣❜❍❞✉❫✈❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✤❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ✇➠➸ ②❘❫➩➨ ④t❷❜➆❣✐➙♣❡❲⑤♣❜✤⑤♣❢↕❸❻r❑❿✙❤❧❸➀❢♣❸✺⑤♣❜✏➂❲♦✐rs❤❧❞⑨❜❊❸➛q♣❥➜rs⑧✙⑦❊❜✤❞⑨❜❍❸❳❤❧♠✛rs♦✐r➒❸❾❷❜➆❣✐♦⑨❤❧➇✕❢♣❜✬❫✤❫✉❫✈❫✉❫ ➨➠➉ ②❘❫➩➨♣❫❵❪ ➢✗❡❴⑧♣⑦❍❜❊⑧➠❣✐♦⑨r➒❣✐❤❧❡❴⑧◗⑤✙❜✈❥❦r➛➂❲♦✐rs❤❧❞⑨❜❊❸➛q♣❥➜rs⑧✙⑦❊❜ ❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ➨➠➉ ②❘❫➩➨♣❫③② ④❩r❼❿❘❤❦❸➛❢♣❸➤⑤♣❜✼➂❲♦✐rs❤❧❞⑨❜❊❸➛q♣❥➜rs⑧✙⑦❊❜✼❞⑨❜❍❸❳❤❧♠✛rs♦✐r➒❸❾❷❜➆❣✐♦⑨❤❧➇✕❢♣❜✭⑤✛rs⑧♣❞✷❥❦❜✭❸❙❡❲⑤❝⑥❜❊❥❧❜ ⑤♣❜✉➢✗❡■❿➺❫✈❫✈❫✉❫✤❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✤❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ➨♣❪

(3)

❭ ✬➍❝P➏➎❉❲❅▲❉ P❄❉☞➓➛➍❲➔✄❃➠❨ ❉✂✁✄✁❴➍❘❨✙❃♣❚❼❏▲❃✆☎✝❅❬❉❘❈➅P➀❯❉❲➐✭❉❲❁✷P✷❃♣❁ ●tP✷◆ ●①❉❲➌❽➐✝❈✞✝➀●①❚❑❃✕❨✙❃✛◆❝➔ ❚❱❯❉✂✁❴❉❲❁ ●❑❈ ✟✡✠ ✇✙❫❵❪ ➢♥rs❞✢⑤♣❜✤❥☞☛➦❜❍♦⑨♦⑨❜❍❢♣♦✢⑤♣❜✤❸❳❜❍❞⑨❢♣♦✻❜✤❞⑨❢♣♦✢❥➜r➀⑦❍❡①➂sr➒♦⑨❤➜r➒q♣❥❦❜ ❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ➨➠➥ ✇✙❫③② ➢♥rs❞✢⑤♣❜❍❞➳➂➒rs❥❧❜❊❢♣♦✻❞ ❸❻r➒⑧♣➇✕❢✛rs⑧➠❣✐❜❍❞➳⑤✙❜✉❥❦r➀⑦❊❡①➂➒rs♦⑨❤❦rsq♣❥❦❜ ❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ➲❘❪ ✇✙❫③②❘❫❵❪ ❛❄r ❸✍❷❜❍❣⑨➙♣❡❲⑤♣❜✤♠♣♦⑨❡❴♠ ❡❴❞❲❷❜❊❜✤♠✛rs♦✢❛❝❤❦⑧➭❜➆❣✍✌✦❤❦⑧♣↔✳❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ➲❘❪ ✇✙❫③②❘❫③② ❛❄r ❸✍❷❜❍❣⑨➙♣❡❲⑤♣❜✤♠♣♦⑨❡❴♠ ❡❴❞❲❷❜❊❜✤♠✛rs♦✏✎✧➙♣❡s❢◗❜➆❣➳➣✝❜❊♠ ❜↕❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ➲➒➨ ✇✙❫③②❘❫➦✇ ❛❄r ❸✍❷❜❍❣⑨➙♣❡❲⑤♣❜✤♠♣♦⑨❡❴♠ ❡❴❞❲❷❜❊❜✤♠✛rs♦✒✑❽rs⑧♣↔✆✓✕✔➳❞⑨❢✡✓✕✖✛❜❍⑧♣↔ ❜❍❣ ➣✭♦⑨❜❊⑧➠❣⑨❤❦⑦❊❜➁❫✈❫✉❫ ➲❴➸ ✇✙❫③②❘❫➩➨ ❛❄r ❸✍❷❜❍❣⑨➙♣❡❲⑤♣❜✤♠♣♦⑨❡❴♠ ❡❴❞❲❷❜❊❜✤♠✛rs♦✢➣✝rs❤✘✗➃❜➆❣✏✙ ❞✐rs❤ ❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ➲s➥ ✇✙❫➦✇ ❺✭♦⑨♦✻❜❊❢♣♦↕⑤♣❜✳❸❳❜❍❞⑨❢♣♦✻❜ ❜➆❣◗➂➒rs❥❧❜❊❢♣♦✻❞➭❸❻rs⑧✙➇❲❢♣rs⑧➠❣✐❜❊❞✛✚✢❸❳❡❲⑤➏❷❜❍❥❦❤❦❞⑨r➒❣✐❤❧❡❴⑧❹⑦❍❡❴⑧✢✜✻❡❴❤❧⑧✕❣⑨❜ ♠ ❡❴❢♣♦ ❢♣⑧✙❜✈⑦❍❡①➂sr➒♦⑨❤➜r➒q♣❥❦❜✤✣✙❿❘❜ ❫✈❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✤❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ➝➠② ✓✙✓ ✥ ✚✢✜✧✦ ✵✷✶✹✵ ✜ ✵✩★ ✚✫✪ ✮✭✬ ✵ ✥✮✬✭✮ ✶✩✵ ✣✦✘✛✰➺✸✺✮✼✔✤✯➳✣✦✮✼✔✗✖ ✵ ✰➺✜✱✰ ✣✏✔ ✵ ✥❝✚✲✬❱✮✲✳ ✘→★✩✮✵✴ ✶✩✵ ✜➅✴ ✵✫✶➛✵ ✔✦✜✏✮✼✔♥✖✬✜✤✣ ✖ ✵ ✸ ✶ ✰✸✷ ✶ ✘✛✚ ✶ ✚✾✰♣★ ✖✛★✩✚➏✔ ✜✱✰▲✣✏✔ ✵ ✮ ✶✹✶ ✘✛✚✢✥✻✺ ✵ ✶ ✮✭✘t✸➑✚✢✜➅✴ ✵✷✶ ★✩✰✙✮✯✖♣★✹✚➏✔➁✥❝✚✗✔✽✼❲✚➏★✻✔✗✖ ✵ ✾ ✪ ✟ ✿✈❚❑➍ ➐✭➍ ❈■❏❇●❑❏❬➍ ❁❽P✵❀❧◆✷❁❾➌❽➍❝P➏➎❉❲❅▲❉❁✁❴➍ ❁✂❂❊➍ ❏▲❁ ●✈❉✕●✉❏▲P✷❉❲❁ ●①❏❄❃✝❃✆☎✝❏ ❅▲❏❬●✝❯❉ P✷❉❲❈✉➐✷❃♣❚❑❃✛➌❹➎❉➠●①❚❑❉❲❈❆❅❇✠ ➨♣❫❵❪ ❈➳❡s❣➧r➒❣⑨❤❦❡❴⑧✙❞♥❜❍❣✢➫❬❡❴♦✻❸➀❢♣❥➜r❼❣✐❤❦❡s⑧➃⑤♣❢↕♠♣♦⑨❡❴q✙❥ ⑥❜❊❸❙❜❻❫✈❫✤❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ➝➠➸ ➨♣❫③② ➣✭♦⑨❡s♠ ❡❴❞✻❤❧❣⑨❤❦❡❴⑧❂⑤✡☛➩❢♣⑧♣❜✏➂❲♦✐r➒❤❦❞⑨❜❍❸➀q♣❥❦rs⑧♣⑦❊❜✏⑦❍❡❴⑧✢✜✻❡❴❤❧⑧➠❣✐❜ ❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ➸s➉ ➨♣❫➦✇ ➞➟⑤♣❜❍⑧➠❣✐❤❉✣✛rsq♣❤❦❥❧❤❧❣❘❷❜➡⑤♣❜❍❞ ♠✛r➒♦✐rs❸◗⑥❜❍❣⑨♦⑨❜❊❞ ⑤♣rs⑧♣❞➳❥❦❜✏❸❙❡❘⑤❖⑥❜❍❥❦❜✦⑦❍❡❴⑧✢✜✻❡❴❤❧⑧➠❣☞❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ➸❴② ➨♣❫➦✇✙❫❵❪ ❊❩❷❜❋✣✛⑧✙❤❧❣✐❤❧❡❴⑧➄⑤♣❜✢❥●☛➩❤❦⑤✙❜❊⑧➠❣✐❤❍✣→rsq♣❤❧❥❦❤❧❣❘❷❜➏❜➆❣✼❤❦⑧✙➫❬❡s♦⑨❸❳r➒❣✐❤❧❡❴⑧➄rs❢ ❞⑨❜❍⑧♣❞✾⑤♣❜✏■✤❢✙❥❦❥❦q♣rs⑦❏✗ ➸❴② ➨♣❫➦✇✙❫③② ➞➟⑤♣❜❊⑧➠❣⑨❤❉✣→rsq✙❤❦❥❦❤❵❣❘❷❜ ⑤♣❜❊❞➳♠✛rs♦⑨rs❸◗⑥❜➆❣✐♦✻❜❊❞✢⑤♣❢➭❸❳❡❲⑤❖⑥❜❍❥❦❜✏⑦❊❡s⑧✢✜✻❡❴❤❦⑧➠❣ ❫✈❫✤❫✉❫✈❫✉❫ ➸➒➨ ❑ ▲✏❈➆●❑❏ ➌ ❃✙●❑❏❬➍ ❁ ❈❊❉❲➌✒❏❬➐✝❃♣❚❑❃✛➌➑❯❉✕●■❚➒❏▲▼❖◆❄❉❩P❄❃✛❁✷❈❻❅❬❉❋➌❽➍❝P➏➎❉❲❅▲❉❩P✷❉✳➓➛➍❲➔➈❃➠❨ ❉✂✁◗❨♣❃♣❅▲❉❲◆❄❚➒❈ ➌❽❃♣❁✝▼❖◆❄❃✛❁ ●■❉❘❈❳P▼❀❵◆✷❁✷❉◆✁❴➍❘❨♣❃✙❚➒❏❬❃✆☎✝❅▲❉❩P➀❯❉✕➐✭❉❲❁✷P✷❃✛❁ ●❂P✷◆➈●①❉❲➌❽➐✯❈ ✠✆❖ ➲❘❫❵❪ ❺✯❿❘❤❦❞✹❣✐❜❊⑧✙⑦❊❜✈⑤♣❜❊❞✢❜❊❞✹❣✐❤❧❸❻r➒❣⑨❜❊❢♣♦✻❞✢❞⑨❜❊❸❙❤❦♠♣rs♦✐rs❸✍❷❜❍❣⑨♦⑨❤❧➇❲❢✙❜❊❞➄❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ➥❴➉ ➲❘❫③② P➳⑧♣❜✤⑦■rs♦⑨rs⑦❍❣❘❷❜❊♦⑨❤❧❞✐r➒❣⑨❤❦❡❴⑧❂⑤✙❜❊❞➳❜❊❞✻❣⑨❤❦❸❳r➒❣✐❜❍❢♣♦⑨❞ ❞✻❜❊❸❙❤❦♠✛r➒♦✐rs❸❾❷❜❍❣⑨♦⑨❤❦➇✕❢♣❜❍❞➁❫✉❫✈❫✤❫✉❫✈❫✉❫ ➥❴✇ ➲❘❫➦✇ ➣✭♦⑨❤❧❞⑨❜✤❜❊⑧↕⑦❊❡s❸❳♠✙❣⑨❜✏⑤♣❜❊❞➳❜➆❿➭rs❜❊➇✕❢♣❡ ❫✈❫✉❫✈❫✉❫✈❫✤❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ➥➠➸ ❅ ▲➡●①◆✝P❄❉➅P✷❉❲❈❩➐✷❚❑➍ ➐✷❚❼❏❴❯❉➠●✝❯❉❲❈➭❃✛❈❍❆❄➌ ➐✷●①➍✛●❑❏▲▼❖◆❄❉❲❈◗➐✭➍ ◆✷❚✳❅❬❉❾➌❽➍❝P➏➎❉❲❅▲❉✍P❄❉❹➓✉➍❘➔➤❃➠❨ ❉✂✁ ✁❴➍❲❨♣❃♣❚❼❏❬❃✆☎✯❅❬❉ P➀❯❉✕➐✭❉❲❁✝P❄❃✛❁ ●➃P✝◆➈●①❉❲➌❽➐✝❈ ➌❽❃✛❁✷▼❖◆❄❃✛❁ ●①❉ ❖❝✿ ➝✙❫❵❪ ➣✭♦❲❷❜❍❥❦❤❧❸❳❤❧⑧✛rs❤❦♦✻❜❊❞ ❫✈❫✈❫✉❫✤❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✤❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ❶✙❪ ➝✙❫③② ➢✗❡❴⑧✙❞⑨❤❦❞✹❣➧rs⑧✙⑦❊❜✤⑤♣❜❊❞➳❜❊❞✹❣✐❤❧❸❻r➒❣⑨❜❊❢♣♦✻❞ ❞⑨❜❍❸❳❤❧♠✛rs♦✐r➒❸❾❷❜➆❣✐♦⑨❤❧➇✕❢♣❜❊❞ ❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ❶❴➝ ➝✙❫➦✇ ➢✗❡❴⑧➠➂s❜❊♦⑨↔s❜❊⑧♣⑦❍❜➛❜❊⑧↕❥❦❡s❤❖⑤♣❜❊❞✢❜❍❞✻❣✐❤❧❸❻r❼❣✐❜❊❢✙♦⑨❞✢❞⑨❜❍❸❳❤❧♠✛rs♦✐r➒❸❾❷❜➆❣✐♦⑨❤❧➇✕❢♣❜❊❞✢❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ❶❴❶ ➝✙❫➩➨ ❺✭❞✻❣⑨❤❦❸❳r➒❣✐❤❧❡❴⑧➃⑤♣❜✤❥❦r➄➂➒rs♦✻❤➜rs⑧✙⑦❊❜✤rs❞✹➵❘❸❙♠✙❣⑨❡s❣✐❤❧➇❲❢✙❜✏⑤♣❜❊❞➳❜❊❞✹❣✐❤❦❸❳r➒❣⑨❜❊❢♣♦✻❞➄❫✉❫✈❫✤❫✉❫✈❫✉❫ ❪❑②s➉ ✠ ❏▲❈❊❉ ❉❲❁ ➍❖❉❲◆❄❨❖❚❼❉ P❄❉➈❅◗❀❃✛❅❙❘→➍→❚❼❏❬●❯❚✝➌❽❉❱▲✹ P✷❃✛❁✷❈❋❅❬❉ ➌ ➍❝P➏➎❉❲❅❬❉❾P✷❉ ➓✉➍❘➔✬❃➠❨ ❉✂✁ ✁❴➍❲❨♣❃♣❚❼❏❬❃✆☎✯❅❬❉ ➌ ❃✛❁✝▼✧◆✷❃✛❁ ●①❉ ✿❲➊✕❑ ➸❘❫❵❪ ❊✦❜❍❞⑨⑦❊♦✻❤❦♠✙❣⑨❤❦❡❴⑧❂⑤✙❜✈❥☞☛③r➒❥❦↔❴❡❴♦✻❤❧❣⑨➙♣❸❳❜ ❺✾④ ♠ ❡❴❢♣♦ ❥❧❜✏❸❳❡❲⑤❖⑥❜❊❥❧❜✦⑦❊❡s⑧✢✜✻❡❴❤❦⑧➠❣➛❫✉❫✈❫✤❫✉❫✈❫✉❫ ❪❑②s➝

(4)

➸❘❫③② ♠♣♠♣❥❦❤❧⑦■r➒❣⑨❤❦❡❴⑧✙❞♥⑤♣❜✤❥●☛➦rs♠♣♠♣♦✻❡❘⑦➧➙✙❜✏♠✛rs♦ ➂❲♦✐rs❤❧❞⑨❜❊❸➛q♣❥➜rs⑧✙⑦❊❜✏⑦❊❡s⑧✢✜✻❡❴❤❦⑧➠❣⑨❜ ❫✉❫✈❫✤❫✉❫✈❫✉❫ ❪①✇❴✇ ➸❘❫③②❘❫❵❪ ➡♠♣♠✙❥❦❤❦⑦❊r➒❣✐❤❧❡❴⑧ r➒❢❘❿ rsq♣rs⑧♣⑤♣❡❴⑧✙❞✈❤❧⑧✙➫❬❡❴♦✻❸❻r➒❣⑨❤❧➫❬❞✢⑤✛rs⑧✙❞✈❢✙⑧♣❜✒❷❜❍❣⑨❢♣⑤♣❜ ❥❦❡❴⑧✙↔❴❤✂✁ ❣✐❢♣⑤✙❤❦⑧✛rs❥❧❜ ❫✈❫✉❫✤❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✤❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ❪①✇❴✇ ➸❘❫③②❘❫③② ➢✗❡❴❸❙♠✛rs♦✐r➒❤❦❞⑨❡s⑧❳r■➂s❜❊⑦➳⑤♣❜❊❢❘❿❙❸✍❷❜❍❣⑨➙♣❡❲⑤♣❜❊❞✼⑤✡☛➩❤❦❸❙♠♣❢✙❣✐r➒❣✐❤❧❡❴⑧➄⑤♣❜✢⑦❊❡①➂➒rs♦⑨❤❦rsq♣❥❧❜ ⑤✛rs⑧♣❞✢❥❧❜✏❸❳❡❲⑤❖⑥❜❊❥❧❜✦⑤♣❜✉➢✗❡■❿ ❫✈❫✉❫✈❫✉❫✈❫✤❫✉❫✈❫✈❫✉❫✈❫✉❫✈❫✈❫✉❫✈❫✤❫✉❫✈❫✉❫ ❪■➨➠➉ ★ ✚➏✔✦✥ ✶ ✣✦✰✙★✹✚➏✔ ✵ ✖ ✶➛✵ ✘✛✰ ✶✉✵ ✥✧✖♣★ ✬ ✵ ✰ ✽☎✄✝✆ ✞ ✔✏✔ ✵ ✪ ✵ ✞ ✞ ✶✹✶ ✘✛✚✭✪✦★✹✸➑✮✯✖✛★✩✚✗✔ ✜ ✵ ✰❾★✻✔✗✖✏✴ ✵✠✟ ✘✛✮ ✶✩✵ ✰ ★✹✔✗✖ ✵ ✘✆✬ ✵ ✔✦✮✼✔♥✖ ✜✏✮✼✔✦✰ ✶ ✮ ✬➳✘✛✮✼★✹✰ ✵ ✸ ✴ ✶ ✮✼✔✦✥ ✵ ✥❝✚➏✔✽✼❘✚➏★✹✔♥✖ ✵ ✽☎✄ ✪ ✞ ✔✏✔ ✵ ✪ ✵☛✡ ☞ ★✩✰❲✖♣★✻✔ ✟✍✌ ✥❄★ ✶ ✮✵✴ ✽☎✄✏✎ ✡ ★ ✴ ✶ ★✩✚ ✟ ✘✛✮ ✶ ✺✏★ ✵ ✽✭✪✑✆

(5)
(6)

✂✁ ☛❽✑☎✄ ✞ ✆ ✝➈☛✍✌✞✄ ✁ ❛❝❜➡❸❙❡❲⑤❝⑥❜❊❥❧❜ ❞⑨❜❊❸❙❤❦♠♣rs♦✐rs❸✍❷❜❍❣⑨♦⑨❤❧➇❲❢✙❜➳⑤✙❜✦➢✗❡■❿❳❜❊❞✹❣♥❥●☛➩❢♣⑧❙⑤♣❜❊❞➏♠♣❥❦❢✙❞➏❢✙❣⑨❤❦❥❧❤❦❞❲❷❜❍❞✼⑤✛rs⑧♣❞✾❥❦❜✢❣✐♦⑨rs❤❧❣⑨❜❊❸❙❜❊⑧➠❣ ❞✹❣➧r➒❣⑨❤❦❞✹❣✐❤❦➇✕❢♣❜➄⑤✙❜❊❞✤⑤♣❢♣♦❲❷❜❊❜❊❞✈⑤♣❜➀➂❲❤❦❜➄❜❍⑧ ♠✙♦❲❷❜❊❞✻❜❊⑧♣⑦❍❜❳⑤✙❜➀➂sr➒♦⑨❤➜r➒q♣❥❦❜❍❞✦❜➆❿❘♠♣❥❧❤❦⑦■r❼❣✐❤❧➂s❜❊❞✠✟❬⑦❊❡①➂➒rs♦⑨❤❦rsq♣❥❦❜❍❞☛✡ ❫❖➞➟❥ ❜ ❿❘♠♣♦⑨❤❧❸❳❜ ❥➜r✤♦⑨❜❊❥❦r➒❣✐❤❧❡❴⑧❙❜❊⑧➠❣✐♦✻❜✦❥❦❜➳♦⑨❤❧❞⑨➇✕❢♣❜➡⑤ ☛➦❡❲⑦❊⑦❍❢♣♦⑨♦✻❜❊⑧♣⑦❍❜✏⑤✡☛➦❢✙⑧➈❷❜❍➂✭❷❜❊⑧✙❜❊❸❙❜❊⑧➠❣☞✟❬❣⑨❜❊❥ ➇❲❢ ☛➦❢♣⑧❻⑤✗❷❜❊⑦s⑥❜❊❞ ✓✙❥➜r ❞✻❢♣♦✻➂s❜❊⑧✕❢♣❜❂⑤✡☛➩❢♣⑧♣❜❙❸❳rs❥➜rs⑤✙❤❦❜ ✓✧❢♣⑧♣❜❙♠✛rs⑧♣⑧♣❜ ✓✼❫❧❫❵❫✌✡✏❜❍❣✉⑤♣❜❍❞➛⑦❊❡①➂➒rs♦✻❤➜rsq♣❥❧❜❊❞✹✣✙❿❘❜❊❞✉❡❴❢✳➇❲❢✙❤➏⑤➏❷❜❍♠ ❜❍⑧♣⑤♣❜❍⑧✕❣ ⑤✙❢➈❣✐❜❍❸❳♠♣❞❍❫♥➢✗❜➆❣⑨❣⑨❜ ♦⑨❜❍❥➜r➒❣⑨❤❦❡❴⑧➅❜❊❞✹❣➃⑤➏❷❜ ✣✛⑧♣❤❦❜◗♠✛rs♦❳❥●☛➩❤❦⑧➠❣✐❜❍♦⑨❸❾❷❜❊⑤♣❤❦rs❤❦♦✻❜❂⑤✡☛➦❢✙⑧♣❜◗➫❬❡❴⑧✙⑦❍❣✐❤❧❡❴⑧➈⑤✙❜❩♦⑨❤❧❞⑨➇✕❢♣❜ ❤❧⑧♣❞✻❣✐rs⑧➠❣➧rs⑧➏❷❜❾⑥r✳❥●☛➩❤❦⑧♣❞✹❣➧rs⑧➠❣✎✍ ✓➏➇✕❢♣❤➳⑤✛rs⑧✙❞❳❥❧❜◗⑦❊rs❞❻⑤♣❜↕⑦❊❡①➂➒rs♦✻❤➜rsq♣❥❧❜❊❞❙⑤➏❷❜❊♠ ❜❊⑧✙⑤✛rs⑧➠❣➃⑤♣❢ ❣✐❜❊❸❙♠♣❞❋✓✾❜❍❞✻❣ ⑦❍❡❴⑧♣⑤♣❤❵❣✐❤❧❡❴⑧♣⑧➏❷❜❍❜ ♠✛r➒♦➏❥☞☛➦❡❴q✙❞⑨❜❊♦✹➂➒r➒❣✐❤❧❡❴⑧❳⑤✙❢❻♠♣♦✻❡❘⑦❍❜❊❞⑨❞✻❢♣❞ ⑤♣❜➳⑦❊❡①➂➒rs♦⑨❤❦rsq♣❥❧❜❊❞✡✜✻❢♣❞⑨➇✕❢✡☛❇⑥r☞✍ ❫❘➢✗❜❍❣✻❣✐❜➡➫❬❡❴⑧✙⑦❍❣✐❤❧❡❴⑧ ⑤✙❜✈♦✻❤❦❞✻➇❲❢✙❜✈❞❋☛✩❷❜❍⑦❊♦✻❤❧❣ ✚ ✏✒✑ ✟✓✍✔✡✔✕✗✖☛✘✚✙✛✘✚✜✣✢✓✤✥✧✦★✜✩✦✫✪✭✬✮✯✢✱✰ ❡❝⑥❢ ✏✒✑ ❜❊❞✹❣ ❢♣⑧♣❜❽➫❬❡s⑧♣⑦❍❣⑨❤❦❡❴⑧➤♠ ❡❴❞✻❤❧❣✐❤❵➂❴❜✒⑤➏❷❜❍❣✐❜❍♦⑨❸❙❤❦⑧♣❤❧❞✻❣⑨❜❽❤❦⑧✙⑦❊❡❴⑧♣⑧✕❢♣❜ ✓✳✲✺❜❊❞✹❣❋❢♣⑧ ♠✛rs♦⑨rs❸◗⑥❜➆❣✐♦✻❜❽⑤♣❜ ♦❲❷❜❊↔❴♦✻❜❊❞✻❞⑨❤❦❡s⑧❹➇✕❢♣❜❩❥☞☛➦❡❴⑧➅⑦➧➙♣❜❍♦⑨⑦➧➙♣❜ ⑥r✳❜❊❞✹❣✐❤❦❸❙❜❊♦❋✓✼❜❍❣✠✴❾❜❊❞✻❣❻❢♣⑧♣❜↕➫❬❡❴⑧♣⑦❍❣⑨❤❦❡❴⑧➅⑤♣❢ ♠♣♦⑨❡❲⑦❊❜❍❞⑨❞⑨❢✙❞➃⑤♣❜❩⑦❍❡ ✁ ➂➒rs♦✻❤➜rsq✙❥❦❜✶✵✈❫❖❛ ☛➦❜❍❞✻❣⑨❤❦❸❳r➒❣✐❤❧❡❴⑧❩⑤♣❜✶✲❾❞❋☛➦❜✸✷✧❜❍⑦❍❣✐❢✙❜❳♠✛r➒♦✦❥➜r❻❸✍❷❜❍❣⑨➙♣❡❲⑤♣❜➀⑤♣❢❋❸❳r❼❿❘❤❦❸➀❢✙❸ ⑤✙❜➀➂❘♦⑨rs❤❦❞✻❜❊❸ ✁ q✙❥➜rs⑧♣⑦❍❜ ✓✧rs♠♣♠♣❥❧❤❦➇✕❢➏❷❜❊❜➭⑥r➃❢♣⑧♣❜➛➂❲♦⑨rs❤❦❞✻❜❊❸➀q♣❥❦rs⑧♣⑦❍❜➀♠✛rs♦✹❣✐❤❦❜❍❥❦❥❧❜✈➇✕❢♣❤✯⑧♣❜➀⑦❊❡s⑧✕❣⑨❤❦❜❍⑧✕❣✦♠✛rs❞✦❥❦r❳➫❬❡❴⑧♣⑦➆❣✐❤❦❡s⑧ ✏✒✑ ⑦❍❡❴⑧♣❞✻❤❦⑤➏❷❜❍♦❲❷❜❊❜✗⑦❊❡❴❸❙❸❳❜✾❢♣⑧➄♠✛r➒♦✐rs❸◗⑥❜❍❣⑨♦⑨❜✾⑤♣❜♥⑧✕❢♣❤❦❞⑨rs⑧♣⑦❍❜s❫➠➢✗❜➆❣⑨❣⑨❜♥❸❾❷❜➆❣✐➙♣❡❲⑤♣❜✾⑧➏❷❜❊⑦❍❜❊❞✻❞⑨❤❧❣⑨❜ ❥●☛➩❡❴q♣❞✻❜❊♦✻➂➒r➒❣⑨❤❦❡❴⑧ ✓ ♠ ❡❴❢♣♦ ⑦➧➙✛rs➇✕❢♣❜➀❞✻❢✢✜✻❜❍❣➡❤❦⑧♣⑦❍❥❦❢♣❞➳⑤✛rs⑧✙❞➡❥●☛➟❷❜❍❣⑨❢♣⑤♣❜✉⑤♣❜➛❞✻❢♣♦✻➂❲❤❦❜ ✓ ⑤✙❜➛❣✐❡❴❢❘❣✐❜❊❞ ❥❦❜❍❞➳➂➒rs❥❧❜❊❢♣♦✻❞➡⑤♣❢ ♠✙♦⑨❡❲⑦❊❜❊❞✻❞⑨❢♣❞ ⑤✙❜✈⑦❍❡①➂sr➒♦⑨❤➜r➒q♣❥❦❜✹✵ ✜✻❢♣❞✻➇❲❢ ☛❬⑥r ❥➜r➄❞⑨❢✙♦✻➂❴❜❍⑧✕❢♣❜➛⑤♣❜✤❥☞☛✩❷❜➆➂✼❷❜❍⑧♣❜❊❸❙❜❊⑧➠❣ ⑦➧➙♣❜✗✺✈⑦❊❜✤❞✻❢✢✜✻❜❍❣❊❫ ➢✗❜❍♠ ❜❍⑧♣⑤✛rs⑧➠❣ ✓ ⑤♣rs⑧♣❞❂⑤♣❜ ⑧✙❡❴❸➀q♣♦✻❜❊❢♣❞✻❜❊❞➭❞⑨❤❵❣✐❢✛r➒❣⑨❤❦❡❴⑧✙❞ ✓✾❥➜r❽♦❲❷❜■rs❥❧❤❦❞✐r❼❣✐❤❦❡s⑧➈⑤♣❢ ♠♣♦✻❡❘⑦❍❜❊❞✻❞⑨❢♣❞✻✵ rs❢ ❸❙❡❴❸❙❜❊⑧➠❣ ⑤♣❜➀❥●☛➟❷❜❍➂✭❷❜❍⑧♣❜❊❸❙❜❊⑧➠❣✏⑧♣❜➛♠ ❜❍❢✙❣✶✼❜❍❣⑨♦⑨❜➀❡sq♣❞⑨❜❍♦✻➂✼❷❜❊❜➄⑦➧➙♣❜✽✺➄❥❦❜❍❞➡❞⑨❢ ✜✻❜❍❣✐❞➡❞⑨❢♣❤❵➂❘❤❧❞❊❫ ❛ ☛③rs⑧♣rs❥❧➵❲❞⑨❜➛♠✛rs♦ ❢✙⑧↕❸❙❡❲⑤❝⑥❜❊❥❧❜➡⑤♣❜✤➢✗❡■❿➭❞✻❜✏➙♣❜❊❢✙♦✻❣✐❜✤r➒❥❦❡❴♦✻❞✈⑥r➀❢♣⑧➭♠♣♦✻❡❴q♣❥ ⑥❜❍❸❳❜ ⑤♣❜✏⑤♣❡❴⑧✙⑧✗❷❜❊❜❍❞➳❸❳rs⑧♣➇✕❢✛r➒⑧✕❣⑨❜❊❞ ⑤♣❜✾✵ ✓✙➇✕❢♣❤ ❜❍❸❳♠✿✼❜❊⑦➧➙♣❜✈❥❦❜✏♦✻❜❊⑦❊❡s❢♣♦⑨❞➄⑥r➄❥●☛➩❤❦⑧✙➫■❷❜❍♦⑨❜❊⑧✙⑦❊❜✏❞✻❣✐r➒❣✐❤❧❞✻❣⑨❤❦➇✕❢♣❜✏q✛rs❞❲❷❜❊❜✈❞⑨❢♣♦✢❥❦r➄➂❲♦⑨rs❤❦❞✻❜❊❸➀q♣❥❦rs⑧♣⑦❍❜✏♠✛rs♦✻❣⑨❤❦❜❍❥❦❥❦❜➒❫ ❊✦❤❀✷➳❷❜❍♦⑨❜❊⑧➠❣⑨❜❊❞➀❸❾❷❜❍❣⑨➙♣❡❘⑤✙❜❊❞➛❡s⑧✕❣❽❷❜❍❣❘❷❜❻♦❲❷❜❊⑦❍❜❊❸❙❸❳❜❍⑧➠❣➀♠♣♦✻❡❴♠ ❡s❞❲❷❜❊❜❍❞➄♠ ❡s❢♣♦➛♦❲❷❜❊❞⑨❡s❢♣⑤♣♦⑨❜❻❥❦❜❻♠✙♦⑨❡❴q♣❥ ⑥❜❊❸❙❜ ⑤✙❜❙❥☞☛➦❤❧⑧✙➫■❷❜❊♦✻❜❊⑧♣⑦❍❜ ⑤✛rs⑧♣❞✤❢♣⑧ ❸❳❡❲⑤❖⑥❜❊❥❧❜➀⑤♣❜❻➢✗❡■❿✳r■➂❴❜❊⑦❳⑦❊❡①➂➒rs♦⑨❤❦rsq♣❥❧❜❊❞✏⑤➏❷❜❍♠ ❜❍⑧♣⑤✛rs⑧➠❣✉⑤♣❢✳❣⑨❜❊❸❙♠♣❞✤❸❻r➒⑧ ✁ ➇✕❢✛r➒⑧✕❣⑨❜❊❞ ✚→❸❾❷❜❍❣⑨➙♣❡❘⑤✙❜❊❞➡⑤✙❜➛❥➜r➄➂❲♦✐rs❤❧❞⑨❜❍❸➀q♣❥➜r➒⑧♣⑦❊❜✈♠✛rs♦✹❣✐❤❦❜❍❥❦❥❧❜✤rs♠♣♠♣♦✻❡❘⑦➧➙➏❷❜❍❜❁✟ ❛❝❤❧⑧◗❜➆❣ ✌✏❤❧⑧♣↔✆✓❃❂➩➲s➝❅❄✭✡ ✓→⑤♣❜ ❥❦r ➂❲♦⑨rs❤❦❞✻❜❊❸➀q♣❥❦rs⑧♣⑦❍❜✉♠✛r➒♦✻❣✐❤❧❜❊❥❧❥❦❜✤❜❊❞✹❣✐❤❦❸✍❷❜❊❜❆✟●✎✧➙✙❡❴❢❩❜➆❣✏➣✝❜❍♠ ❜ ✓❇❂❶❴➝❅❄✭✡ ✓→❸❾❷❜❍❣⑨➙♣❡❘⑤✙❜❊❞➡⑤ ☛➦❤❧❸❳♠♣❢❘❣➧r➒❣⑨❤❦❡❴⑧➭⑤♣❜ ⑤✙❡❴⑧♣⑧➏❷❜❍❜❊❞➀❸❳rs⑧♣➇✕❢✛rs⑧➠❣⑨❜❊❞❈✟▲➣✯rs❤❉✗❋❜❍❣ ✙ ❞✐rs❤☞✓❉❂➦➸❘❪✸❄❋❊✭✑✒r➒⑧♣↔✆✓✫✔ ❞✻❢✡✓✽✖✛❜❍⑧♣↔◗❜➆❣➄➣✭♦⑨❜❍⑧➠❣✐❤❦⑦❍❜ ✓●❂➩❶❴②❍❄✭✡➆❫✝➢✗❜ ✁ ♠ ❜❊⑧✙⑤✛rs⑧➠❣ ✓ ❥❦❜❊❞➳⑦❊❡s⑧♣⑤♣❤❧❣⑨❤❦❡❴⑧✙❞ ♦✻❜❊➇✕❢♣❤❦❞✻❜❊❞✦♠ ❡❴❢♣♦➳❥➜r ➂➒rs❥❦❤❧⑤♣❤❧❣❘❷❜✏⑤♣❜➛⑦❍❜❊❞✦❸❾❷❜❍❣⑨➙♣❡❘⑤✙❜❊❞➡❜➆❣✦⑤♣❜❍❞✦♠♣♦✻❡❴♠♣♦⑨❤➆❷❜❍❣❘❷❜❊❞ r➒❞✻➵❲❸❳♠❘❣✐❡s❣⑨❤❦➇✕❢♣❜❊❞✭⑤✙❜❊❞✭❜❊❞✹❣✐❤❧❸❻r➒❣⑨❜❊❢♣♦✻❞❱➇✕❢♣❤♣❞❋☛➦❜❍⑧❳⑤➏❷❜❍⑤♣❢♣❤❧❞⑨❜❊⑧➠❣✼❞✻❡❴⑧➠❣✼⑦❊❡❴⑧➠❣✐♦⑨rs❤❦↔s⑧✛rs⑧➠❣✐❜❍❞✭❜❍❣✼⑧♣❜♥❞✻❡❴⑧➠❣✼♠✛rs❞ ❣⑨❡❴❢✢✜✻❡❴❢✙♦⑨❞✢♦❲❷❜❍❢♣⑧♣❤❦❜❍❞✢⑤✛rs⑧♣❞✢❥➜r➀♠✙♦✐r➒❣⑨❤❦➇✕❢♣❜✤⑤♣❜✤❥➜r➀❸❙❡❘⑤➏❷❜❊❥❦❤❧❞✐r➒❣⑨❤❦❡❴⑧❻⑤♣❜❊❞✢⑤♣❢♣♦❲❷❜❊❜❍❞ ⑤♣❜✏➂❲❤❦❜➒❫ ❛ ☛➩❡❴q✂✜✻❜❍❣✦⑤♣❜➛⑦❍❜✉❣✐♦⑨r■➂sr➒❤❦❥❄❜❊❞✹❣✦⑤♣❜➀♠✙♦⑨❡❴♠ ❡❴❞⑨❜❍♦➡❢♣⑧✙❜➛❸❾❷❜❍❣✐➙✙❡❘⑤♣❜✉⑤✡☛➩❜❊❞✻❣⑨❤❦❸❳r➒❣✐❤❧❡❴⑧↕⑤✛rs⑧♣❞ ❥❦❜✈❸❳❡❲⑤❖⑥❜❊❥❧❜ ⑤✙❜ ➢✗❡■❿➈r■➂❴❜❊⑦◗❢♣⑧♣❜↕⑦❊❡①➂➒rs♦⑨❤❦rsq♣❥❧❜❂⑤✗❷❜❊♠ ❜❊⑧♣⑤♣rs⑧➠❣➃⑤♣❢➅❣✐❜❊❸❙♠♣❞❙❸❻r➒⑧♣➇✕❢✛rs⑧➠❣✐❜ ✓✾➇✕❢♣❤✢❞✻❡❴❤❧❣❳rs♠♣♠✙❥❦❤❦⑦❊rsq♣❥❧❜

(7)

❊✏rs⑧✙❞ ❥❦r❙♠♣♦✻❜❊❸❙❤ ⑥❜❍♦⑨❜✤♠✛rs♦✹❣✐❤❦❜✈⑤♣❜✈⑦❊❜✉❸❻rs⑧✕❢♣❞✻⑦❊♦✻❤❧❣ ✓✛⑧✙❡❴❢♣❞➡♦⑨rs♠♣♠ ❜❊❥❧❡❴⑧♣❞✢❥❦❜❍❞ ⑤➏❷❜ ✣✛⑧♣❤❵❣✐❤❦❡s⑧♣❞✢⑤♣❜❊❞ ❡❴❢ ✁ ❣⑨❤❦❥❧❞✉⑤♣❜❻❸❳❡❲⑤➏❷❜❊❥❧❤❦❞⑨r➒❣✐❤❧❡❴⑧ ❢✙❣✐❤❧❥❦❤❦❞❲❷❜❊❞✈❜❊⑧❾rs⑧♣rs❥❧➵❲❞⑨❜❳❞✻❣✐r➒❣✐❤❧❞✻❣✐❤❧➇✕❢♣❜❻⑤♣❜❍❞➀⑤♣❢♣♦❲❷❜❊❜❍❞➄⑤♣❜❻➂❲❤❦❜ ✓✝❜➆❣➄❥➜r↕⑧♣❡s❣✐❤❧❡❴⑧ ⑤✙❜❂⑦❊❜❊⑧✙❞⑨❢♣♦✻❜s❫✾➣✭❢♣❤❦❞➄⑧♣❡s❢♣❞➄♠♣♦❲❷❜❍❞⑨❜❍⑧✕❣⑨❡❴⑧♣❞❙❥❦❜➃❸❙❡❲⑤❝⑥❜❊❥❧❜❻⑤♣❜◗➢✗❡■❿✍❜➆❣ ⑧♣❡❴❢♣❞➄♦⑨rs♠♣♠ ❜❊❥❦❡s⑧♣❞➄❥❦❜❍❞➀♠♣♦⑨❤❧⑧♣⑦❊❤✁ ♠♣rs❢❘❿↕♦❲❷❜❍❞⑨❢♣❥❵❣➧r➒❣⑨❞✢❞⑨❢♣♦➳❥●☛➩❜❊❞✹❣✐❤❦❸❳r➒❣⑨❤❦❡❴⑧➃⑤✙❜✉❞✻❜❊❞➡♠♣rs♦✐rs❸↕⑥❜❍❣⑨♦⑨❜❍❞➳❜❍⑧❩⑦❊rs❞✢⑤♣❜✈➂➒rs❥❧❜❊❢♣♦✻❞✢❸❻rs⑧✙➇❲❢♣rs⑧➠❣✐❜❊❞➳⑤♣❜ ⑦❍❡①➂sr➒♦⑨❤➜r➒q♣❥❦❜❍❞ ⑤✗❷❜❊♠ ❜❊⑧♣⑤♣rs⑧➠❣➡⑤♣❢➭❣✐❜❍❸❳♠✙❞❊❫ ❊✏rs⑧✙❞✉❥❦r➭⑤✙❜❊❢❘❿❘❤ ⑥❜❍❸❳❜❙♠✛rs♦✹❣✐❤❧❜ ✓❝⑧♣❡❴❢✙❞✉♠♣♦✻❡❴♠ ❡❴❞⑨❡❴⑧✙❞✉❢♣⑧✙❜➃rs♠♣♠✙♦⑨❡❲⑦➧➙♣❜❻r➒❢ ♠♣♦✻❡❴q♣❥ ⑥❜❊❸❙❜❙⑤✙❜❳❥☞☛➦❜❍❞✻❣✐❤✁ ❸❳r➒❣⑨❤❦❡❴⑧➀⑤♣rs⑧♣❞✼❥❦❜ ❸❙❡❘⑤❖⑥❜❊❥❦❜✗⑤♣❜ ➢✗❡①❿ r①➂s❜❊⑦➳❢♣⑧♣❜✢⑦❊❡①➂➒rs♦✻❤➜rsq♣❥❧❜♥⑤➏❷❜❍♠ ❜❍⑧♣⑤✛rs⑧➠❣✾⑤♣❢ ❣✐❜❊❸❙♠♣❞✭❸❳rs⑧♣➇✕❢✛rs⑧➠❣⑨❜s❫ ❺✭❥❧❥❦❜♥⑦❍❡❴⑧♣❞⑨❤❧❞✻❣⑨❜ ⑥r✏❸❙❡❘⑤➏❷❜❍❥❦❤❧❞⑨❜❊♦✝⑦❊❡❴⑧ ✜✻❡❴❤❦⑧➠❣✐❜❍❸❳❜❍⑧➠❣➏❥❧❜❊❞✭⑤♣❢✙♦❲❷❜❊❜❍❞➏⑦❍❜❊⑧♣❞✻❢♣♦❲❷❜❍❜❊❞➏❜❍❣✾❥❦❜ ♠♣♦✻❡❘⑦❍❜❊❞✻❞⑨❢♣❞✾⑤♣❜✢⑦❊❡①➂➒r ✁ ♦✻❤➜rsq✙❥❦❜ ♠ ❡❴❢♣♦✾❜❊⑧➃⑤➏❷❜❍⑤♣❢♣❤❧♦⑨❜➳❢♣⑧♣❜✢➂❘♦⑨rs❤❦❞✻❜❊❸➀q✙❥➜rs⑧♣⑦❍❜ ➇✕❢♣❤ ⑧♣❡❴❢✙❞➏♠ ❜❊♦✻❸❳❜➆❣⑨❣✐❜➳⑤✡☛➩❜❊❞✹❣✐❤❦❸❙❜❊♦✾❥❦❜✢♠✛r➒♦✐rs❸◗⑥❜❍❣⑨♦⑨❜ ⑤ ☛➦❤❧⑧✕❣❘❷❜❊♦✗✼❜❍❣ ✲ ✟❬❜❍❣➛rs❢♣❞✻❞⑨❤✾❥➜r↕➫❬❡s⑧♣⑦❍❣⑨❤❦❡❴⑧✳⑤♣❜❻♦✻❤❦❞✻➇❲❢✙❜❻⑦❊❢✙❸➀❢♣❥➆❷❜ ✁ ✑ ✟✍✔✡✄✂✆☎ ✪ ✥ ✏ ✑ ✟✞✝❍✡✠✟✡✝ ✡✤rs❢✳➂❘❢❽⑤♣❜❊❞ ⑤✙❡❴⑧♣⑧➏❷❜❍❜❊❞♥❤❧⑧♣⑦❊❡❴❸❙♠♣❥⑥❜❍❣✐❜❍❞❊❫ ❊✏rs⑧✙❞✾❥❧❜ ⑦➧➙♣rs♠♣❤❧❣⑨♦⑨❜➳➨✆✓✕⑧♣❡❴❢♣❞✾⑤➏❷❜❍⑦❊♦⑨❤❵➂❴❡❴⑧✙❞✗❥❦❜✢❸❙❡❘⑤❖⑥❜❊❥❦❜✢⑦❍❡❴⑧✢✜✻❡❴❤❧⑧✕❣✾♠♣♦✻❡❴♠ ❡❴❞❲❷❜ ❜➆❣➳⑧♣❡❴❢♣❞➃❷❜❍❣✐rsq♣❥❧❤❦❞⑨❞✻❡❴⑧♣❞ ❞⑨r❙♠♣♦✻❡❴♠♣♦✻❤➆❷❜❍❣❘❷❜✤⑤✡☛➦❤❧⑤♣❜❊⑧➠❣⑨❤❉✣→rsq✙❤❦❥❦❤❵❣❘❷❜➒❫ ➢✗❜✢♦❲❷❜❍❞⑨❢♣❥❵❣➧r➒❣❱⑧♣❡❴❢♣❞✭♠ ❜❊♦✻❸❳❜➆❣✭❜❊⑧♣❞✻❢♣❤❧❣⑨❜ ⑤♣❜ ⑧♣❡❴❢✙❞✭❤❦⑧➠❣❘❷❜❍♦⑨❜❊❞✻❞⑨❜❍♦✏⑥r✦❥☞☛➦❜❍❞✻❣⑨❤❦❸❳r➒❣✐❤❧❡❴⑧✉⑤✙❜❊❞✼♠✛rs♦⑨rs❸◗⑥❜➆❣✐♦✻❜❊❞ ⑤✙❢❋❸❳❡❲⑤❖⑥❜❊❥❧❜➛⑦❍❡❴⑧✢✜✻❡❴❤❧⑧✕❣ ✓ ⑤✙❡❴⑧➠❣ ✲❾❜❍❣ ✁ ✑ ❫ ❊✏rs⑧✙❞✦❥❦❜✉⑦➧➙✛rs♠♣❤❵❣✐♦⑨❜➄➲ ✓ ⑧✙❡❴❢♣❞✏rs⑤♣rs♠✙❣✐❡s⑧♣❞❳⑥r➃⑦❊❜➛❸❳❡❲⑤❖⑥❜❊❥❧❜ ❥❦r↕❸✍❷❜❍❣⑨➙♣❡❲⑤♣❜❳⑤✙❢✒❸❻r❑❿✙❤❧❸➀❢♣❸ ⑤✙❜❙➂❲♦✐r➒❤❦❞⑨❜❍❸➀q♣❥❦rs⑧♣⑦❊❜❙❞⑨❜❍❸❳❤❧♠✛rs♦⑨rs❸❾❷❜➆❣✐♦✻❤❦➇✕❢♣❜ ➇✕❢♣❤●✓❄⑤✛rs⑧✙❞➛❥❦❜❙⑦■r➒❞✉⑤♣❢ ❸❙❡❲⑤❝⑥❜❊❥❧❜✏⑤♣❜➀➢✗❡■❿↕❡❝⑥❢➭❣✐❡❴❢❘❣✐❜❊❞✢❥❧❜❊❞➳⑦❊❡①➂➒rs♦⑨❤❦rsq♣❥❦❜❍❞ ❞⑨❡❴⑧➠❣ ❡❴q♣❞✻❜❊♦✻➂✭❷❜❍❜❊❞ ✓ ❞⑨❜✈♦✐rs❸↕⑥❜❊⑧✙❜❂⑥r ❜❊❞✹❣✐❤❧❸❳❜❍♦ ✲❽♠✛rs♦ ❥❧❜✏❸❻r❑❿✙❤❧❸➀❢♣❸✺⑤♣❜✏➂❲♦✐rs❤❧❞⑨❜❊❸➛q♣❥➜rs⑧✙⑦❊❜✤♠✛rs♦✹❣✐❤❦❜❍❥❦❥❧❜➡❜❍❣ ✁ ✑ ♠✛r➒♦ ❥●☛➩❜❊❞✻❣⑨❤❦❸❳r➒❣✐❜❍❢♣♦♥⑤♣❜☞☛✗♦✻❜❊❞⑨❥❧❡✍✌✤❫ ❊✏rs⑧✙❞❻❥❦❜↕⑦➧➙✛rs♠✙❤❧❣✐♦✻❜ ➲✂✓➏⑧♣❡s❢♣❞❻❸❙❡❴⑧➠❣✐♦✻❡❴⑧♣❞ ❣✐❡❴❢✙❣❳⑤✡☛➦rsq ❡❴♦⑨⑤❹❥☞☛➦❜ ❿❘❤❦❞✻❣⑨❜❊⑧♣⑦❍❜❩⑤✡☛➩❜❊❞✹❣✐❤❧❸❻r➒❣⑨❜❊❢♣♦✻❞❳❞✻❜ ✁ ❸❙❤❦♠♣rs♦✐rs❸✍❷❜❍❣⑨♦⑨❤❧➇❲❢✙❜❊❞➛⑤✙❜❊❞ ♠✛rs♦⑨rs❸◗⑥❜➆❣✐♦✻❜❊❞➄⑤♣❢❾❸❙❡❘⑤❖⑥❜❍❥❦❜❳⑦❊❡❴⑧✢✜✻❡s❤❦⑧➠❣■❫ ❈➳❡❴❢♣❞➄❡❴q❘❣✐❜❊⑧✙❡❴⑧♣❞ ❜❊⑧♣❞✻❢♣❤❧❣⑨❜❂❢♣⑧♣❜ ⑦❊rs♦✐r➒⑦❍❣❘❷❜❍♦⑨❤❧❞✐r➒❣⑨❤❦❡❴⑧➃⑤✙❜✦⑦❊❜❍❞ ❜❊❞✻❣⑨❤❦❸❳r➒❣✐❜❍❢♣♦⑨❞✗❜❊⑧➭rs♠♣♠✙❥❦❤❦➇✕❢✛r➒⑧✕❣✈⑥r➀❥➜r✉➂❲♦⑨rs❤❦❞✻❜❊❸➀q♣❥❦rs⑧♣⑦❍❜➡⑦❊❡s⑧✢✜✻❡❴❤❦⑧➠❣⑨❜✦❡❴q✙❣⑨❜ ✁ ⑧✕❢♣❜✈❥❦❜✏♠✙♦⑨❤❦⑧✙⑦❊❤❦♠ ❜✦⑤♣❜✤❥☞☛③rs❥❧↔❴❡❴♦✻❤❧❣✐➙✙❸❳❜ ❺✭❞⑨♠➏❷❜❍♦✐rs⑧♣⑦❍❜ ✁✩④❩r❼❿❘❤❦❸❙❤❦❞⑨r➒❣✐❤❧❡❴⑧ ✟ ❺✾④✂✡➆❫ ➢✗❜➆❣⑨❣⑨❜➀⑦■rs♦⑨rs⑦❍❣❘❷❜❊♦✻❤❦❞✐r❼❣✐❤❦❡s⑧◗❜❍❞✻❣✏❢✙❣⑨❤❦❥❧❜✈⑤♣rs⑧♣❞➡❥❧❜✉⑦➧➙♣rs♠♣❤❧❣⑨♦⑨❜➛➝ ✓ ❡❝⑥❢↕⑧♣❡❴❢✙❞✦❸❳❡s⑧✕❣⑨♦⑨❡❴⑧✙❞ ❥❦r❳⑦❊❡s⑧♣❞⑨❤❧❞✻❣➧r➒⑧♣⑦❊❜ ⑤✙❜✈⑦❍❜❊❞➳❜❊❞✹❣✐❤❦❸❳r➒❣⑨❜❊❢♣♦✻❞❊❫ ❈➳❡❴❢♣❞↕⑧♣❡❴❢♣❞↕❤❦⑧➠❣❘❷❜❊♦⑨❜❍❞⑨❞✻❡❴⑧♣❞❩❜❍⑧♣❞⑨❢✙❤❧❣✐❜ rs❢ ⑦❊❡❴❸❙♠ ❡s♦✻❣✐❜❍❸❳❜❍⑧➠❣◗❜❍⑧➺❥❧❡❴❤✦⑤♣❜❍❞❩❜❊❞✹❣✐❤❧❸❻r➒❣⑨❜❊❢♣♦✻❞➭❞⑨❜❊❸❙❤❦♠♣r ✁ ♦⑨rs❸❾❷❜❍❣✐♦✻❤❦➇✕❢♣❜❍❞✾⑤♣rs⑧♣❞✼❥❦❜ ❸❙❡❘⑤❖⑥❜❊❥❦❜✗⑦❊❡❴⑧✢✜✻❡s❤❦⑧➠❣■❫ ❈➳❡❴❢♣❞✾❸❳❡s⑧✕❣⑨♦⑨❡❴⑧✙❞✭➇❲❢✙❜ ❥❦r✦❞⑨❢♣❤❵❣✐❜✢⑤♣❜✢⑦❊❜❍❞➏❜❍❞✻❣✐❤❧❸❻r❼❣✐❜❊❢✙♦⑨❞ ⑦❍❡❴⑧➠➂❴❜❍♦⑨↔❴❜➀❜❍⑧❩❥❧❡❴❤❖➂❴❜❍♦⑨❞➡❢✙⑧❩♠♣♦✻❡❘⑦❍❜❊❞⑨❞✻❢♣❞✦↔➠r➒❢♣❞⑨❞✻❤❦❜❊⑧◗⑦❊❜❍⑧✕❣⑨♦❲❷❜✉⑤♣❡❴⑧➠❣➡⑧✙❡❴❢♣❞➳❜➆❿❘♠♣❥❦❤❧⑦❊❤❵❣✐❡❴⑧♣❞✢❥❦r ➫❬❡❴⑧✙⑦❍❣✐❤❧❡❴⑧ ⑤✙❜✈⑦❍❡①➂sr➒♦⑨❤➜r➒⑧♣⑦❊❜➒❫ ❈➳❡❴❢♣❞ ♠♣♦✻❡❴♠ ❡s❞⑨❡❴⑧♣❞ ❜❍⑧ ✣✛⑧➈❢✙⑧➅❜❍❞✻❣⑨❤❦❸❳r➒❣✐❜❍❢♣♦➄⑦❊❡❴⑧➠➂s❜❊♦⑨↔s❜❊⑧➠❣➃⑤♣❜➭❥❦r❩➂sr➒♦⑨❤➜r➒⑧♣⑦❊❜➭rs❞✹➵❲❸❳♠✙❣⑨❡s❣✐❤❧➇✕❢♣❜➭⑤♣❜❊❞ ❜❍❞✻❣⑨❤❦❸❳r➒❣✐❜❍❢♣♦⑨❞ ❞✻❜❊❸❙❤❦♠✛rs♦⑨rs❸❾❷❜❍❣✐♦✻❤❦➇✕❢♣❜❍❞❊❫ ❊✏rs⑧✙❞➀❥❦❜❙⑦➧➙✛rs♠♣❤❵❣✐♦✻❜❂➸ ✓✷⑧♣❡❴❢♣❞➛⑤✗❷❜❊⑦❍♦⑨❤❧➂s❡❴⑧♣❞➀❥☞☛③r➒❥❦↔❴❡❴♦✻❤❧❣⑨➙♣❸❳❜ ❺✾④ ♠ ❡❴❢♣♦✉❥●☛➩❜❊❞✻❣⑨❤❦❸❳r➒❣✐❤❧❡❴⑧ ⑤♣❜❊❞➛♠✛r ✁ ♦⑨rs❸◗⑥❜❍❣✐♦✻❜❊❞✤⑤♣❢✳❸❳❡❲⑤❖⑥❜❍❥❦❜➀⑦❍❡❴⑧✢✜✻❡❴❤❧⑧✕❣❊❫ ❈ ❡s❢♣❞✤❡❴q✙❣✐❜❍⑧♣❡❴⑧♣❞✈⑤♣❜❍❞✤➫❬❡s♦⑨❸➀❢♣❥❧❜❊❞✏❜ ❿✙♠✙❥❦❤❦⑦❍❤❧❣⑨❜❊❞✏⑤♣❜ ⑦■r➒❥❦⑦❊❢✙❥✭⑤♣❜❊❞ ➂➒rs❥❧❜❊❢♣♦✻❞✯❤❵❣❘❷❜❊♦❲❷❜❊❜❍❞✯⑤♣❜❍❞❱❜❊❞✹❣✐❤❦❸❳r➒❣⑨❤❦❡❴⑧♣❞✷⑤♣❜❍❞❱♠✛rs♦⑨rs❸◗⑥❜➆❣✐♦✻❜❊❞✯⑤✙❜✗❥➜r➳❥❦❡❴❤✕⑤♣❜✗❥➜r✢⑦❊❡①➂➒rs♦⑨❤❦rsq♣❥❦❜✾❥❦❡s⑧♣↔❴❤❧❣⑨❢♣⑤♣❤❧⑧✛rs❥❦❜ ❜➆❣➳⑤♣❜ ✁ ✑ ❫ P➳⑧❩rs❥❧↔❴❡❴♦✻❤❧❣✐➙✙❸❳❜ ⑧❲❢✙❸❾❷❜❍♦⑨❤❦➇✕❢♣❜✤⑤♣❜✏❣➟➵❲♠ ❜ ❈➳❜✎✌ ❣⑨❡❴⑧❩❜❍❞✻❣➳⑤➏❷❜❊⑦❍♦⑨❤❵❣✢♠ ❡❴❢✙♦➳❜❍❞✻❣⑨❤❦❸❙❜❊♦ ✲✼❫

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❈➳❡❴❢♣❞ rs♠♣♠✙❥❦❤❦➇✕❢♣❡s⑧♣❞➀❜❊⑧✙❞⑨❢♣❤❵❣✐❜❂❥❦❜❻❸❳❡❲⑤❖⑥❜❊❥❧❜❻⑦❍❡❴⑧✢✜✻❡❴❤❧⑧✕❣➀❞⑨❢♣♦➄⑤♣❜❍❢❘❿ ✜✻❜❍❢❘❿✍⑤✙❜❂⑤♣❡❴⑧♣⑧➏❷❜❍❜❊❞ ♦❲❷❜❍❜❊❥❧❥❦❜❊❞❍❫ ❈➳❡❴❢♣❞♥♠✙♦⑨❡❴♠ ❡❴❞⑨❡s⑧♣❞➏❣⑨❡❴❢✙❣♥⑤ ☛③rsq ❡❴♦✻⑤❻⑤♣❜✦❥☞☛③r➒♠♣♠♣❥❦❤❧➇✕❢♣❜❊♦✦⑥r➛❥☞☛③rs⑧♣rs❥❧➵❲❞⑨❜➳❞✻❣✐r➒❣✐❤❧❞✻❣⑨❤❦➇✕❢♣❜➡⑤✙❜❊❞ rsq♣rs⑧♣⑤♣❡❴⑧✙❞✗⑤♣❜ ❸❙❜❊❞✻❢♣♦⑨❜➛❤❦⑧✙➫❬❡❴♦✻❸❻r❼❣✐❤❧➫❬❞ ⑤♣rs⑧♣❞➡❥❧❜❊❞↕❷❜❍❣✐❢✙⑤♣❜❊❞✦❥❧❡❴⑧♣↔❴❤❵❣✐❢♣⑤✙❤❦⑧✛rs❥❧❜❊❞❋✓♣❜❍❣➡⑧♣❡❴❢♣❞✦⑦❍❡❴❸❙♠✛rs♦⑨❡s⑧♣❞ ❞✻❜❊❞✏♦❲❷❜❊❞⑨❢✙❥❧❣➧r❼❣✐❞ ⑥r✉⑦❊❜❊❢❲❿➃❡❴q❘❣✐❜❊⑧✕❢♣❞♥r①➂s❜❊⑦✏❥☞☛➦❢♣⑧❳⑤♣❜❊❞✗❸❳❡❲⑤❖⑥❜❊❥❧❜❊❞✾❥❦❜❍❞✗♠♣❥❧❢♣❞➏❢❘❣✐❤❦❥❧❤❦❞❲❷❜❊❞✾⑤✛rs⑧♣❞➏⑦❊❜✦⑤♣❡s❸❻rs❤❧⑧♣❜ ✓✕♠♣♦✻❡❴♠ ❡❴❞❲❷❜ ♠✛rs♦ ❊✦❤❧↔❴↔❴❥❧❜✦❜❍❣ ■✏❜❊⑧ ✌♥r➒♦⑨⑤ ❂➩②s➥❅❄ ❫→❺✭⑧ ✣✛⑧✡✓ ⑧♣❡❴❢✙❞ ⑦❍❡❴❸❳♠♣rs♦⑨❡❴⑧✙❞➳❥❧❜❊❞✢❜❊❞✹❣✐❤❧❸❻r➒❣⑨❤❦❡❴⑧✙❞ ⑤♣❢❩♠✛r➒♦✐rs❸◗⑥❜❍❣⑨♦⑨❜ ✲✒⑤♣❢ ❸❙❡❲⑤❝⑥❜❊❥❧❜✦⑤♣❜✉➢✗❡■❿ ✓✛❡sq✙❣✐❜❍⑧❲❢✙❜❊❞➳♠✛rs♦ ❥●☛➦rs♠♣♠✙♦⑨❡❲⑦➧➙♣❜✏⑦❊❡❴⑧ ✜✻❡❴❤❦⑧➠❣✐❜✏❜➆❣✢⑤♣❜❊❢❲❿↕❸❾❷❜➆❣✐➙♣❡❲⑤♣❜❊❞ ⑤ ☛➦❤❧❸❳♠♣❢❘❣➧r➒❣⑨❤❦❡❴⑧❖❫ P➳⑧♣❜➃♠✛rs♦✹❣✐❤❧❜❻⑤♣❜❍❞➛❣✐♦⑨r①➂➒rs❢❲❿✒♠♣♦❲❷❜❊❞✻❜❊⑧➠❣❘❷❜❍❞➄⑤✛rs⑧♣❞➀⑦❍❜➃❸❳rs⑧✕❢♣❞⑨⑦❍♦⑨❤❧❣➀r◗➫▲rs❤❵❣➛❥☞☛➦❡❴q ✜✻❜❍❣✉⑤✡☛➦❢✙⑧❾rs♦✻❣⑨❤❦⑦❊❥❧❜ ♠♣rs♦⑨❢↕⑤✛rs⑧♣❞✢❥❦r➀♦⑨❜❍➂❲❢♣❜✉❛❝❤❧➫❬❜➆❣✐❤❦❸❙❜✹❊✏r➒❣✐r ➡⑧✛r➒❥❧➵❲❞⑨❤❧❞✾✟ ②s➉❴➉❴②❋✡➆❫

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✄✄☛❽✁⑩☛✍✌✞✄ ✁ ✟ ❈➳❡❴❢♣❞✈❤❦⑧➠❣✐♦✻❡❘⑤✙❢♣❤❦❞✻❡❴⑧♣❞✏❤❦⑦❍❤❱❥❦❜❍❞✤⑧♣❡s❣➧r❼❣✐❤❦❡s⑧♣❞✤↔✯❷❜❊⑧➏❷❜❍♦✐rs❥❧❜❊❞✤⑦❊❡s❸❳❸➀❢✙⑧♣❜❊❞✈rs❢❘❿❋⑤♣❤ ✷➳❷❜❊♦✻❜❊⑧➠❣✐❜❍❞➛♠✛rs♦✹❣✐❤❧❜❊❞✏⑤♣❜ ⑦❍❜✤❸❻rs⑧✕❢♣❞✻⑦❊♦✻❤❧❣■❫ ✁ ❛❝❜❍❞✈➂➒rs♦✻❤➜rsq♣❥❧❜❊❞✏r➒❥➆❷❜■r❼❣✐❡❴❤❧♦⑨❜❊❞✏⑦❍❡❴⑧♣❞✻❤❦⑤➏❷❜❍♦❲❷❜❊❜❍❞➛❞✻❜❊♦⑨❡s⑧✕❣✈⑤➏❷❜ ✣✛⑧♣❤❧❜❊❞✈❞⑨❢♣♦✈❢♣⑧✳❜❊❞⑨♠♣rs⑦❊❜❳♠♣♦⑨❡❴q♣rsq♣❤❦❥❧❤❦❞❲❷❜ ✟✄✂ ✰✆☎❈✰✞✝ ✡➆❫ ✁✠✟ ⑤✗❷❜❊❞✻❤❦↔❴⑧♣❜✤❥☞☛➦❜❍⑧♣❞⑨❜❍❸➀q♣❥❦❜✤⑤♣❜❍❞✢❜❊⑧➠❣✐❤❧❜❊♦⑨❞✢⑧✛r❼❣✐❢♣♦✻❜❊❥❦❞❍❫ ✁☛✡ ❥●☛➩❜❊⑧♣❞✻❜❊❸➀q♣❥❧❜✤⑤♣❜❊❞✢⑧♣❡❴❸➛q♣♦⑨❜❍❞➳♦❲❷❜❊❜❍❥❦❞❊❫ ✁☛✡✌☞ ❥●☛➩❜❊⑧♣❞✻❜❊❸➀q♣❥❧❜✏⑤♣❜❊❞✢⑧♣❡s❸➀q♣♦⑨❜❍❞✢♦❲❷❜❊❜❍❥❦❞✢♠ ❡❴❞⑨❤❵❣✐❤❧➫❬❞❍❫ ✁☛✡✌☞✎✍ ❥●☛➩❜❊⑧♣❞✻❜❊❸➀q♣❥❧❜✏⑤♣❜❊❞➳⑧♣❡❴❸➛q♣♦⑨❜❍❞➳♦❲❷❜❊❜❍❥❦❞ ❞✻❣⑨♦⑨❤❧⑦❍❣✐❜❍❸❳❜❍⑧➠❣ ♠ ❡❴❞✻❤❧❣✐❤❵➫❬❞❊❫ ✁☛✡✑✏ ❥●☛➩❜❊❞⑨♠♣rs⑦❊❜✏➂❴❜❍⑦❍❣⑨❡❴♦⑨❤❧❜❊❥❄⑤♣❜✤⑤♣❤❦❸❙❜❊⑧✙❞⑨❤❦❡s⑧✓✒◗❞✻❢♣♦ ✡ ❫ ✁✕✔✗✖✘✔ ❥❦r➀⑧♣❡❴♦✻❸❳❜✏❜❍❢♣⑦❊❥❧❤❦⑤♣❤❧❜❊⑧♣⑧♣❜✏❞✻❢♣♦ ✡ ✏ ❫ ✁✚✙✜✛✣✢ ❥❧❜✏❸❳❤❧⑧♣❤❦❸➀❢✙❸✺⑤✙❜ ✙ ❜❍❣ ✢ ❫ ✁✚✙✜✤✣✢ ❥❧❜✏❸❻r❼❿❘❤❧❸➀❢♣❸✺⑤♣❜ ✙ ❜❍❣ ✢ ❫ ✁ ❪✦✥★✧✎✩ ❥●☛➩❤❦⑧♣⑤♣❤❧⑦■r➒❣⑨♦⑨❤❧⑦❊❜➡⑤✙❜✫✪✉❫ ✁ ✟✭✬✯✮✸✰✱✰✱✰✱✰✽✰✞✬✎✲❋✡✴✳★✵✷✶✩✰❃✟✹✸✻✺✽✼✕❪❋✰✱✰✾✰✱✰✽✰✞✿❁❀❅✡♥❥●☛➩❜❊⑧♣❞✻❜❊❸➀q✙❥❦❜✤⑤♣❜❊❞✢➂❴❜❍⑦❍❣⑨❜❊❢♣♦✻❞✶✟❂✬✯✮✸✰✾✰✱✰✱✰✗✰✴✬✎✲ ✡♥♠♣♦✻❤❧➂✼❷❜❊❞✢⑤♣❜ ❥●☛✩❷❜❊❥➆❷❜❍❸❳❜❍⑧➠❣❃✬✎❄ ❫ ✁ ✟✭✬✯✮✸✰✱✰✱✰✱✰✽✰✞✬✎✲❋✡ ✳★✵✷✶✑❅❇❆✬ ✰ ✟❂✸❈✺❉✼✕❪ ✰✱✰✱✰✱✰✸✰✆✿❁❀❅✡➀❥☞☛➦❜❍⑧♣❞⑨❜❍❸➀q♣❥❦❜➭⑤♣❜❍❞❳➂s❜❊⑦❍❣⑨❜❊❢♣♦✻❞ ✟❂✬✯✮✸✰✾✰✱✰✱✰✸✰✞✬✎✲ ✡➄❡❝⑥❢ ❥●☛✩❷❜❊❥➆❷❜❍❸❳❜❍⑧➠❣❃✬✎❄✝❜❍❞✻❣➳♦⑨❜❍❸❳♠✙❥➜rs⑦ ❜✏♠✛rs♦❷ ❥➜r➀➂➒rs❥❧❜❊❢♣♦✒✣✙❿✼❷❜❍❜ ✬❄❫❆ ✁❋❊ ❡❴❤❧❣❃●➺❢♣⑧◗❜❍⑧♣❞⑨❜❍❸➀q♣❥❧❜ ✚ ✁✚❍❂■ ✟❂●✳✡✗⑤➏❷❜❊❞✻❤❦↔❴⑧✙❜✈❥☞☛➦❜❍❞⑨♠✛r➒⑦❊❜✤⑤♣❜❊❞ ➫❬❡❴⑧✙⑦❍❣✐❤❧❡❴⑧♣❞✢q ❡❴♦⑨⑧➏❷❜❍❜❊❞✢⑤♣❜❏●➤⑤♣rs⑧♣❞ ✡ ❫ ✁❋❑▼▲ ✟✭●✳✡✗❥●☛➩❜❊❞⑨♠♣rs⑦❊❜✈⑤♣❜❊❞ ➫❬❡❴⑧✙⑦❍❣✐❤❧❡❴⑧♣❞ ⑤♣❜❏●✬⑤♣rs⑧♣❞ ✡ q ❡❴♦⑨⑧➏❷❜❍❜❊❞➳❜❍❣➄⑥r➀➂➒rs♦⑨❤❦r➒❣✐❤❧❡❴⑧➃q ❡❴♦⑨⑧➏❷❜❍❜s❫ ✁❋❑▼▲ ✏ ❥●☛➩❜❊❞⑨♠♣rs⑦❊❜➳⑤♣❜❊❞✼➫❬❡❴⑧♣⑦➆❣✐❤❧❡❴⑧♣❞✾⑤♣❜◆●❹⑤✛rs⑧♣❞ ✡ q ❡❴♦✻⑧➏❷❜❊❜❍❞✗♠✛r➒♦❖✒❻❜❍❣✤⑥r✤➂➒rs♦✻❤➜r➒❣⑨❤❦❡❴⑧➄q ❡❴♦✻⑧✗❷❜❊❜ ♠✛rs♦P✒❖❫ ✁ ❞⑨❤✑◗ ❜❊❞✹❣➳❢♣⑧♣❜✏➫❬❡❴⑧♣⑦➆❣✐❤❦❡s⑧↕q ❡❴♦✻⑧✗❷❜❊❜✤⑤♣❜❏●➤⑤♣rs⑧♣❞ ✡ ✓❙❘❚◗❯❘ ■ ✂t❞⑨❢♣♠ ✪❲❱ ✑ ✔ ◗❇✟✍✔✡ ✔ ❫ ✁❋❊ ❡❴❤❧❣◆✂ ❢♣⑧➭❜❊⑧♣❞✻❜❊❸➀q♣❥❧❜s❫✎❳❃❨ ✟✹✂ ✡♥⑤✗❷❜❊❞✻❤❦↔❴⑧♣❜✤❥☞☛➦❜❍⑧♣❞⑨❜❍❸➀q♣❥❦❜✏⑤✙❜❊❞➳♠✛rs♦✻❣⑨❤❦❜❍❞ q ❡❴♦✻⑧➏❷❜❊❜❍❞ ⑤✙❜▼✂✦❫ ✁❋❊ ❡❴❤❧❣❩✪✬❢♣⑧✙❜✈❸❳r➒❣⑨♦⑨❤❦⑦❍❜✏⑤♣❜✤⑤♣❤❦❸❙❜❊⑧✙❞⑨❤❦❡s⑧❬✿❪❭❫✒❱✚

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✪ ✁ ⑤➏❷❜❊❞⑨❤❧↔❴⑧♣❜✤❥➜r➀❣⑨♦✐rs⑧♣❞✻♠ ❡s❞❲❷❜❊❜✈⑤♣❜ ✪➛❫ ❞⑨❤ ✿ ✂ ✒❩❜➆❣✢❞⑨❤ ✪ ❜❊❞✹❣ ❤❧⑧➠➂❴❜❊♦✻❞⑨❤❧q♣❥❦❜ ✓✎✪✄✂ ✮ ⑤✗❷❜❊❞✻❤❦↔❴⑧♣❜✤❥☞☛➦❤❧⑧✕➂s❜❊♦✻❞⑨❜✤⑤♣❜ ✪➛❫ ✁❋❊ ❤ ✙ ❜❊❞✹❣ ❢✙⑧↕➂s❜❊⑦❍❣⑨❜❊❢♣♦➳⑤♣❜✤⑤♣❤❧❸❳❜❍⑧♣❞⑨❤❧❡❴⑧✓✒ ✓ ✙✆☎ ✥ ✂ ❪ ✓ ✙✆☎ ✮ ✂ ✙ ❜❍❣ ✙✆☎✞✝ ✂ ✙ ✙ ✁ ❫ ✁ ⑦✕⑥rs⑤♣❥✩⑥rs↔ ✚♣⑦❊❡❴⑧➠❣⑨❤❦⑧✕❢♣❜➃⑥r❙⑤✙♦⑨❡❴❤❵❣✐❜✦❜➆❣ ❥❧❤❦❸❙❤❧❣❘❷❜❊❜❙⑥r➄↔➠r➒❢♣⑦➧➙♣❜s❫

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✑ ✆ ✂ ☎✭✌✭✡ ✌

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✄ ✁ ✁ ☎✆☎ ✟❋✆ ✟◗☛❽✁⑩☛✍✌❱✟◗☛✍✌✞✝ ✆ ✆ ✞ ✆✠✟ ✞ ✆ ✑ ✆ ✂ ✆✠✟ ✞ ✆ ✟ ✌✝✆ ❛ ☛➦rs⑧✛rs❥❵➵❘❞✻❜❩❞✹❣➧r➒❣⑨❤❦❞✻❣⑨❤❦➇✕❢♣❜↕⑤♣❜❊❞❳⑤♣❢♣♦❲❷❜❊❜❊❞❻⑤♣❜↕➂❲❤❧❜❩r✳♠ ❡❴❢✙♦❳q♣❢❘❣➃❥●☛➟❷❜❍❣⑨❢♣⑤♣❜↕⑤♣❜❊❞❻❥❦❡❴❤❧❞➄⑤✡☛➦❤❧⑧♣❞✻❣✐rs⑧➠❣✐❞ ⑤ ☛➦❡❲⑦❊⑦❍❢♣♦⑨♦✻❜❊⑧♣⑦❍❜➀⑤✡☛✩❷❜❍➂✼❷❜❊⑧♣❜❍❸❳❜❍⑧➠❣✐❞ ✓✾⑥r❳♠✛rs♦✹❣✐❤❧♦ ⑤✡☛➩❡❴q♣❞✻❜❊♦✹➂sr❼❣✐❤❦❡s⑧♣❞ ⑤✙❜➛⑤♣❢♣♦❲❷❜❊❜❍❞✦❜❍❣◗❷❜❍➂❴❜❍⑧➠❣✐❢♣❜❍❥❦❥❦❜❍❸❳❜❍⑧➠❣✦⑤♣❜ ➂➒rs♦✻❤➜rsq✙❥❦❜❊❞✈❜➆❿❘♠♣❥❧❤❦⑦❊r➒❣✐❤❵➂❴❜❊❞❋✓✷➫▲r➒❤❧❣✐❜❍❞✉❜❍⑧✒⑦❊❡s⑧✕❣⑨❤❦⑧✕❢✍❡❴❢ ⑤♣❜➃❸❳rs⑧♣❤ ⑥❜❍♦⑨❜❙⑤♣❤❦❞✻⑦❊♦❊⑥❜❍❣✐❜❳⑤✛rs⑧♣❞➛❥❦❜ ❣✐❜❊❸❙♠♣❞✉❞⑨❢♣♦ ⑤✙❜❊❞✢❤❦⑧♣⑤✙❤❧➂❲❤❦⑤♣❢✙❞❊❫ ❊✏rs⑧♣❞ ⑦❊❜✏♠✙♦⑨❜❊❸❙❤❦❜❍♦✗⑦➧➙✛r➒♠♣❤❧❣⑨♦⑨❜ ✓✙⑧♣❡❴❢♣❞ ♠♣♦❲❷❜❊❞✻❜❊⑧➠❣✐❡❴⑧✙❞ ❥❧❜❊❞♥❡❴❢❘❣✐❤❦❥❧❞✗⑤♣❜✏❸❙❡❲⑤✗❷❜❊❥❧❤❦❞✐r❼❣✐❤❦❡s⑧ ❢❘❣✐❤❦❥❧❤❦❞❲❷❜❊❞✯❜❍⑧ ❞✻❣➧r❼❣✐❤❦❞✹❣✐❤❧➇❲❢✙❜♥⑤♣❜❊❞✼⑤♣❢✙♦❲❷❜❊❜❍❞✭⑤♣❜♥➂❲❤❦❜ ✓❴❜❍❣✭⑧✙❡❴❢♣❞✭♦✐r➒♠♣♠ ❜❍❥❦❥❧❡❴⑧♣❞✯❥❧❜♥♠♣♦✻❡❴q♣❥ ⑥❜❍❸❳❜✗⑤♣❜ ❥➜r➡⑦❍❜❊⑧♣❞✻❢♣♦⑨❜ r ✷✧❜❍⑦❍❣➧r➒⑧✕❣✗❥❦❜❍❞➏❡❴q✙❞⑨❜❊♦✹➂➒r➒❣✐❤❧❡❴⑧♣❞✗⑤✙❜ ⑤♣❢✙♦❲❷❜❊❜➡⑤♣❜ ➂❲❤❦❜❍❞❊❫✂❈ ❡s❢♣❞✗❤❧⑧♣❞⑨❤❧❞✻❣✐❡s⑧♣❞➏♠✙❥❦❢♣❞✾♠✛rs♦✹❣✐❤❦⑦❍❢♣❥❦❤ ⑥❜❊♦✻❜❊❸❙❜❊⑧➠❣✾❞⑨❢♣♦ ❥❧❜❊❞ ⑦❊❜❊⑧✙❞⑨❢♣♦✻❜❊❞✏⑤♣❤❵❣✐❜❊❞➡rs❥➆❷❜❊r➒❣✐❡s❤❦♦⑨❜❍❞✢❜❍❣✏⑤♣❜✈❣➟➵❲♠ ❜➀➞❏✓ ➇✕❢♣❤✯❤❧⑧➠❣✐❜❊♦✹➂❲❤❦❜❊⑧✙⑤♣♦⑨❡❴⑧➠❣➡⑤✛rs⑧♣❞ ⑦❊❜➛❣⑨♦✐r■➂➒rs❤❦❥ ❫→❺✼⑧ ✣✛⑧✡✓ ⑧✙❡❴❢♣❞❂❜➆❿❘♠♣❥❧❤❦➇✕❢♣❡❴⑧✙❞❂⑦❊❡❴❸❙❸❳❜❍⑧➠❣❂❥➜r❽❸✍❷❜❍❣⑨➙♣❡❲⑤♣❜ ⑤♣❢t❸❳r❼❿❘❤❦❸➀❢♣❸ ⑤♣❜ ➂❲♦⑨rs❤❦❞✻❜❊❸➀q♣❥❦rs⑧♣⑦❍❜ ♠ ❜❍❢✙❣ ✼❜❍❣⑨♦⑨❜ r➒♠♣♠♣❥❦❤❧➇✕❢✗❷❜❊❜✤rs❢↕⑦■r➒❞➳⑤✙❜✈⑤✙❡❴⑧♣⑧➏❷❜❍❜❊❞➳⑦❊❜❊⑧✙❞⑨❢♣♦❲❷❜❊❜❊❞❍❫ ✠☛✡☞✠ ✌✎✍✑✏✓✒✕✔✗✖✙✘✛✚✜✏✣✢✥✤✙✒✕✦★✧✩✦✥✘✜✚✛✘✜✏✪✖✞✍✑✏ ❊✏rs⑧✙❞➛⑦❊❜❳⑦➧➙✛rs♠♣❤❵❣✐♦✻❜ ✓❄⑧♣❡❴❢♣❞✉⑤➏❷❜❊❞✻❤❦↔❴⑧✙❡❴⑧♣❞➛♠♣rs♦✫●➑❢✙⑧♣❜❳➂➒rs♦✻❤➜rsq♣❥❧❜ rs❥➆❷❜❊r➒❣✐❡s❤❦♦⑨❜ ♠ ❡❴❞⑨❤❵❣✐❤❵➂❴❜ ⑤➏❷❜❋✣♣⑧♣❤❦❜ ❞✻❢♣♦✭❢♣⑧ ❜❊❞✻♠✛rs⑦❍❜➳♠✙♦⑨❡❴q✛r➒q♣❤❦❥❧❤❦❞❲❷❜ ✟✄✂ ✰✆☎❈✰✴✝❃✡ ✓➠❜➆❣✼♦⑨❜❊♠✙♦❲❷❜❊❞✻❜❊⑧➠❣➧r➒⑧✕❣➏❢♣⑧♣❜ ⑤✙❢♣♦❲❷❜❍❜✲✜✻❢♣❞⑨➇✕❢✡☛❇⑥r✈❢✙⑧✍❷❜➆➂✼❷❜❊⑧♣❜❍❸❳❜❍⑧✕❣ ⑤ ☛➦❤❧⑧✕❣❘❷❜❊♦✗✼❜❍❣ ✟❬⑦❊❜➆❣✉❷❜❍➂✭❷❜❍⑧♣❜❊❸❙❜❊⑧➠❣✭♠ ❜❊❢✙❣ ✼❜❍❣✐♦✻❜➏❥❦r ❸❙❡❴♦✻❣ ✓①❥➜r➳↔❴❢➏❷❜❊♦✻❤❦❞✻❡❴⑧➛❡❴❢✉❥➜r➳♦⑨❜❊⑦➧➙✕❢✙❣⑨❜♥⑤✛rs⑧✙❞✯❥❦❜✾⑤♣❡❴❸❳rs❤❧⑧♣❜ ❸✍❷❜❊⑤✙❤❦⑦■r➒❥●✓❼❥➜r✦♠ ❜❊♦✻❣⑨❜ ⑤✡☛➩❢♣⑧ ❜❊❸❙♠♣❥❦❡❴❤❘❜❊⑧✒❷❜❊⑦❍❡❴⑧♣❡❴❸❙❤❦❜ ✓s❥❦r✦♠✛rs⑧♣⑧♣❜ ❜❍⑧ ✣→rsq♣❤❧❥❦❤❧❣❘❷❜s❫❍❫❊❫✐➣✝rs♦❱❥❦r✦❞⑨❢♣❤❵❣✐❜ ✓s⑦❊❜❍❣✻❣✐❜ ⑤✙❢♣♦❲❷❜❍❜✉❞✻❜❊♦✐r❙rs♠♣♠ ❜❊❥➆❷❜❊❜✕✫✭✬✯✮✞✰ ✱☞✱ ✫ ✱✳✲☞✴✵✱ ✡ ❫ ❊ ❡❴❤❵❣✷✶ ✑ ❥➜r➀❥❦❡s❤❖⑤♣❜❏●✈❫ ❛❄r➛➫❬❡❴⑧♣⑦➆❣✐❤❧❡❴⑧❂⑤♣❜✦♦❲❷❜❊♠✛rs♦✹❣✐❤❵❣✐❤❦❡s⑧➃⑤♣❜ ● ❡❴❢➭⑤♣❜✦❞⑨r ❥❧❡❴❤✸✶ ✑ ❜❊❞✹❣✢❥➜r✉➫❬❡❴⑧✙⑦❍❣✐❤❧❡❴⑧➃❞✻❢♣♦ ✡ ⑤➏❷❜ ✣✛⑧♣❤❧❜✏♠✛rs♦ ✹ ✑ ✟✍✔✡ ✂ ✝ ❂●✻✺ ✍✩❄ ❞✻❤ ✍✽✼t➉➛❜❍❣ ✹ ✑ ✟ ✍✔✡ ✂ ➉✉❞⑨❤ ✍✽✾ ➉✙❫❘❛❄r✉➫❬❡❴⑧♣⑦➆❣✐❤❦❡s⑧❻⑤♣❜✦♦❲❷❜❊♠✛r➒♦✻❣✐❤❵❣✐❤❧❡❴⑧ ✹ ✑ ❜❊❞✻❣♥⑦❊♦⑨❡s❤❦❞⑨❞⑨rs⑧➠❣✐❜ ✓✙⑦❊❡s⑧✕❣⑨❤❦⑧✕❢♣❜ ⑥r ⑤✙♦⑨❡❴❤❵❣✐❜❻❥❧❤❦❸❙❤❧❣❘❷❜❊❜❋⑥r ↔➠rs❢♣⑦➧➙♣❜ ✓✭r■➂❴❜❍⑦↕❥❧❤❦❸ ✪❀✿ ☞✎■ ✹ ✑ ✟✓✍✔✡ ✂ ❪❴❫✯❺✼❥❧❥❦❜➃♦✻❜❊♠♣♦❲❷❜❊❞✻❜❊⑧➠❣✐❜➭❥➜r◗♠♣♦⑨❡❴q♣rsq♣❤❦❥❧❤❧❣❘❷❜

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♠ ❡❴❢♣♦ ➇✕❢♣❜✈❥●☛➟❷❜❍➂✭❷❜❍⑧♣❜❊❸❙❜❊⑧➠❣ ⑤✡☛➦❤❧⑧➠❣❘❷❜❊♦✗✼❜❍❣✢❞✻❢♣♦✻➂❲❤❦❜❍⑧♣⑧♣❜✈♠ ❜❍⑧♣⑤✛rs⑧➠❣ ❥●☛➩❤❦⑧➠❣✐❜❍♦✻➂➒rs❥❧❥❦❜➳⑤♣❜✈❣⑨❜❊❸❙♠♣❞✾❂➉ ✰✧✍✩❄ ❫ ❊ ❤✛❥❧❜ ⑦■rs❥❧⑦❊❢♣❥✙⑤♣❜❊❞✼♠♣♦✻❡❴q✛rsq♣❤❧❥❦❤❵❣❘❷❜❊❞✝❤❦⑤♣❜❍⑧➠❣✐❤❉✣♣❜ ❜❊⑧❙↔✯❷❜❊⑧➏❷❜❍♦✐rs❥✛❥❦r✦❥❦❡❴❤❘⑤✡☛➩❢♣⑧♣❜ ➂➒rs♦⑨❤❦rsq♣❥❦❜♥rs❥➆❷❜❊r➒❣✐❡❴❤❧♦⑨❜➏♠✛rs♦ ❞⑨r➄⑤♣❜❊⑧♣❞✻❤❧❣❘❷❜✈❡s❢↕❞⑨r➀➫❬❡❴⑧♣⑦❍❣⑨❤❦❡❴⑧❂⑤✙❜✏♦❲❷❜❊♠♣rs♦✻❣⑨❤❧❣✐❤❧❡❴⑧✡✓❲❥●☛➩❤❦⑧➠❣✐❜❍♦⑨♠♣♦❲❷❜❍❣✐r➒❣✐❤❧❡❴⑧➃⑤✡☛➩❢♣⑧♣❜✏➂➒rs♦⑨❤❦rsq♣❥❧❜✦rs❥➆❷❜■r➒❣⑨❡❴❤❦♦✻❜➡❜❊⑧ ❣⑨❜❊♦✻❸❳❜➏⑤♣❜✗⑤♣❢✙♦❲❷❜❊❜✗⑤♣❜✗➂❲❤❦❜➏⑦❊❡❴⑧♣⑤✙❢♣❤❧❣✢⑥r➡⑤➏❷❜ ✣✛⑧♣❤❦♦✝⑤✡☛➦rs❢✙❣✐♦✻❜❊❞✯➫❬❡s⑧♣⑦❍❣⑨❤❦❡❴⑧♣❞✷♠ ❜❊♦⑨❸❙❜❍❣✻❣➧rs⑧➠❣✯⑤♣❜♥⑦■r➒♦✐rs⑦➆❣❘❷❜❊♦✻❤❦❞✻❜❊♦ ❞⑨r➳❥❧❡❴❤❫ ❈ ❡❴❢✙❞✷⑧✙❜✾♠✙♦❲❷❜❊❞✻❜❊⑧➠❣✐❡s⑧♣❞✝♠♣rs❞❝❣✐❡❴❢✙❣⑨❜❊❞✷⑦❊❜❍❞❄➫❬❡s⑧♣⑦❍❣⑨❤❦❡❴⑧♣❞❋✓①❞⑨❜❍❢♣❥❦❜❍❞✷❥❧❜❊❞❄⑤➏❷❜ ✣✛⑧♣❤❧❣⑨❤❦❡❴⑧✙❞❝⑤♣❜❊❞❝➫❬❡❴⑧♣⑦➆❣✐❤❧❡❴⑧♣❞ ➇✕❢♣❤❝❤❧⑧➠❣✐❜❊♦✹➂❲❤❦❜❊⑧✙⑤♣♦⑨❡❴⑧➠❣➳♠✛rs♦✢❥❦r➀❞⑨❢♣❤❵❣✐❜✤❞⑨❡❴⑧➠❣➳♦✐r➒♠♣♠ ❜❍❥➆❷❜❍❜❊❞❊❫ ✪ ⑧➅rs♠♣♠ ❜❊❥❧❥❦❜❻➫❬❡❴⑧✙⑦❍❣✐❤❧❡❴⑧✍⑤♣❜❂❞✻❢♣♦✻➂❲❤❦❜✬✫ ✑ ✟✓✍✔✡✉❥➜r ♠♣♦✻❡❴q✛rsq✙❤❦❥❦❤❵❣❘❷❜❳➇❲❢✙❜❂❥➜r ⑤♣❢♣♦❲❷❜❊❜➭⑤♣❜➃➂❲❤❦❜❈●✄❞⑨❡❴❤❵❣ ❞✻❢♣♠➏❷❜❍♦⑨❤❦❜❍❢♣♦⑨❜❂⑥r➄❢♣⑧♣❜✤⑤♣❢♣♦❲❷❜❊❜✹✍✤✚ ✫ ✑ ✟ ✍✔✡ ✂ ❪✮✭ ✹ ✑ ✟✍✔✡ ✂ ✝ ❂●✰✯ ✍✩❄✄✰ ❊ ❢♣♠♣♠ ❡❴❞⑨❡❴⑧✙❞❂➇❲❢✙❜❋❥➜r❽❥❧❡❴❤ ⑤✙❜ ● rs⑤✙❸❳❜➆❣⑨❣✐❜❩❢♣⑧♣❜ ⑤♣❜❍⑧♣❞⑨❤❵❣❘❷❜ ◗ ✑ ♠♣rs♦➃♦✐r➒♠♣♠ ❡s♦✻❣❽⑥r✒❥❦r❽❸❳❜❍❞⑨❢♣♦✻❜ ⑤♣❜ ❛❝❜❍q ❜❍❞⑨↔❴❢♣❜✉❞⑨❢♣♦ ✡✻☞ ❫ ✪ ⑧❩rs♠♣♠ ❜❊❥❧❥❦❜✏➫❬❡❴⑧♣⑦➆❣✐❤❦❡s⑧↕⑤✙❜➛♦⑨❤❧❞⑨➇✕❢♣❜✈❤❦⑧♣❞✹❣➧rs⑧➠❣✐rs⑧➏❷❜✈⑤♣❜✉❥❦r ➂➒rs♦✻❤➜rsq✙❥❦❜✤rs❥➆❷❜■r➒❣⑨❡❴❤❦♦✻❜ ● ✓♣❥❦r➀➫❬❡❴⑧♣⑦❍❣⑨❤❦❡❴⑧❂⑤➏❷❜❋✣✛⑧♣❤❧❜✤♠♣♦⑨❜❍❞⑨➇✕❢♣❜➛♠♣rs♦✻❣⑨❡❴❢✙❣✢❜❊⑧❁✍✗❣⑨❜❊❥❝➇✕❢♣❜✱✫ ✑ ✟ ✍✔✡✲✯ ➉➄♠✛r➒♦ ✚ ✏✒✑ ✟✓✍✔✡ ✂✳✭ ✟ ✟❋✍ ❥❦❡❴↔✛✟✴✫ ✑ ✟✍✔✡✔✡ ✂ ◗ ✑ ✟✓✍✔✡ ✫ ✑ ✟✍✔✡ ✰ ✪ ⑧✍r➒⑤♣❡❴♠✙❣⑨❜❊♦✐r◗❥➜r◗⑦❍❡❴⑧➠➂❴❜❍⑧✕❣⑨❤❦❡❴⑧✶✵✸✷s➉ ✂✺✹✼✻ ✰✾✽✿✵ ✼ ➉ ✓✝rsq ❡❴❢✙❣⑨❤❦❞⑨❞⑨rs⑧➠❣◗⑥r↕♠ ❡❴❞✻❜❊♦ ✏ ✑ ✟✍✔✡☞✂✺✹❀✻ ♠ ❡❴❢♣♦ ❥❧❜❊❞ ➂➒rs❥❦❜❍❢♣♦⑨❞ ⑤✙❜✹✍➏❣✐❜❍❥❦❥❦❜❍❞ ➇✕❢♣❜✱✫ ✑ ✟✓✍✔✡ ✂➺➉✙❫ ❊ ❢♣♠♣♠ ❡❴❞⑨❡❴⑧✙❞♥➇✕❢♣❜➡❥❦r✈⑤♣❜❍⑧♣❞⑨❤❵❣❘❷❜ ◗ ✑ ⑤♣❜◆●t❞⑨❡❴❤❵❣✗⑦❍❡❴⑧➠❣✐❤❧⑧❲❢✙❜➡❜❊⑧ ✍ ✓❲❜➆❣♥➇✕❢♣❜ ✍✼❞⑨❡❴❤❵❣➏❣⑨❜❊❥→➇✕❢♣❜✼✫ ✑ ✟ ✍✔✡❁✯❹➉✙❫ ❺✭⑧↕♦⑨❜❍❸❻rs♦✻➇✕❢✛rs⑧➠❣➳➇❲❢✙❜ ❪ ❂ ✍ ✝❆❂✍✽✾✠● ✺ ✍❃✹ ❂ ✍ ✔ ●❄✯ ✍✩❄ ✂ ❪ ✫ ✑ ✟✓✍✔✡ ✰ ✹ ✑ ✟✓✍✥✹ ❂ ✍✔✡❅✭ ✹ ✑ ✟ ✍✔✡ ❂ ✍ ❜➆❣➳➇❲❢✙❜❇❆ ❆ ✪ ✹ ✑ ✟✓✍✔✡ ✂ ◗ ✑ ✟✓✍✔✡ ✓✛⑧♣❡❴❢✙❞➳❡sq✙❣✐❜❍⑧♣❡❴⑧♣❞✢❥➜r➀♦✻❜❊❥❦r➒❣✐❤❧❡❴⑧ ✏ ✑ ✟✍✔✡ ✂✺❥❧❤❦❸ ❈ ✪❊❉ ✥ ✝❆❂✍ ✾☛● ✺ ✍❃✹ ❂ ✍ ✔ ●❄✯ ✍✩❄ ❂ ✍ ✰ ❛❄r✉➫❬❡s⑧♣⑦❍❣⑨❤❦❡❴⑧➃⑤✙❜✦♦⑨❤❧❞⑨➇✕❢♣❜✏❤❦⑧✙❞✻❣➧r➒⑧✕❣✐rs⑧➏❷❜ ❜❊❞✻❣✢❢✙⑧♣❜➡➫❬❡❴⑧♣⑦➆❣✐❤❧❡❴⑧➃♠ ❡❴❞⑨❤❵❣✐❤❧➂s❜ ✓❲❜❍❣ ✏ ✑ ✟✍✔✡ ✖ ❂ ✍✗❞❋☛➦❤❧⑧➠❣✐❜❊♦✻♠♣♦❊⑥❜➆❣✐❜ ⑦❍❡❴❸❙❸❳❜✼❥➜r➳♠♣♦⑨❡sq✛rsq♣❤❧❥❦❤❧❣❘❷❜❱⑤♣❜➏❞⑨❢♣♦✹➂❴❜❊⑧✕❢♣❜ ⑤✙❜✗❥●☛➟❷❜❍➂✭❷❜❍⑧♣❜❊❸❙❜❊⑧➠❣❱⑤ ☛➦❤❧⑧✕❣❘❷❜❊♦✗✼❜❍❣❱⑤♣rs⑧♣❞✯❥☞☛➦❤❧⑧➠❣✐❜❊♦✹➂➒rs❥❦❥❧❜❇❄✍ ✰✧✍✸✹ ❂ ✍✩❄ ❞⑨rs⑦➧➙✛rs⑧➠❣ ➇✕❢♣❜✉⑦❍❜❍❣❂❷❜❍➂✭❷❜❍⑧♣❜❊❸❙❜❊⑧➠❣✦⑧✙❜✈❞❋☛➦❜❍❞✻❣ ♠✛rs❞✢❜❊⑧✙⑦❊❡❴♦✻❜✉♠♣♦✻❡❘⑤✙❢♣❤❧❣➀⑥r➄❥●☛➩❤❦⑧✙❞✻❣➧r➒⑧✕❣ ✍ ❫ ➢✗❜➆❣⑨❣⑨❜✈➫❬❡❴⑧✙⑦❍❣✐❤❧❡❴⑧ ❣⑨♦✐rs⑤✙❢♣❤❧❣✢⑤♣❡s⑧♣⑦✤❥●☛✩❷❜❍➂❴❡s❥❦❢✙❣⑨❤❦❡❴⑧❂⑤✛r➒⑧♣❞✢❥❦❜✦❣✐❜❍❸❳♠✙❞➳⑤✙❢↕♦✻❤❦❞✻➇❲❢✙❜✉⑤♣❜✤❞✻❢♣♦✻➂s❜❊⑧✕❢♣❜➛⑤✙❜✈❥☞☛✩❷❜➆➂✼❷❜❊⑧♣❜❍❸❳❜❍⑧✕❣❊❫ ✪ ⑧↕⑤➏❷❜❋✣♣⑧♣❤❧❣ ✓♣♠ ❡s❢♣♦ ❣✐❡❴❢✙❣ ✍ ✺ ✡✌☞ ✓✛❥➜r➛➫❬❡❴⑧✙⑦❍❣✐❤❧❡❴⑧➭⑤♣❜✤♦⑨❤❧❞⑨➇✕❢♣❜✤⑦❊❢♣❸➛❢♣❥➆❷❜✏♠✛r➒♦ ✁ ✑ ✟ ✍✔✡ ✂●❋ ✪ ✏ ✑ ✟✞✝❍✡✠✟✡✝❋✰

(16)

r■➂s❜❊⑦ ✁ ✑ ✟✍✔✡ ✂✰✹❀✻ ❥❦❡❴♦✻❞⑨➇✕❢♣❜ ✫ ✑ ✟✓✍✔✡ ✂ ➉❘❫✧➣✷❡❴❢♣♦➡♠✙♦⑨❜❊❞✻➇✕❢♣❜➀❣✐❡❴❢❘❣✳✍◆✺ ✡ ☞ ❣✐❜❍❥✝➇✕❢♣❜ ✫ ✑ ✟✍✔✡ ✯ ➉ ✓ ❡s⑧❩r➄❥➜r➀♦✻❜❊❥❦r➒❣✐❤❧❡❴⑧❂❞⑨❢♣❤❵➂➒rs⑧➠❣✐❜✱✚ ◗ ✑ ✟ ✍✔✡ ✂ ✏ ✑ ✟ ✍✔✡✙❜➆❿❘♠ ✁ ✭ ❋ ✪ ✥ ✏ ✑ ✟✞✝❍✡✠✟✡✝✄✂❏✰ ➞➟❥ ❞⑨❢✆☎ ❣✗⑤♣❡❴⑧♣⑦ ⑤♣❜➡⑦❍❡❴⑧♣⑧✛r✯✼✝❵❣✐♦✻❜ ❥☞☛➦❢♣⑧✙❜➡⑤♣❜ ⑦❊❜❊❞➏⑦❊❤❧⑧♣➇➄➫❬❡❴⑧♣⑦❍❣⑨❤❦❡❴⑧✙❞➏♠ ❡❴❢♣♦✾❜❊⑧➃⑤➏❷❜❊⑤♣❢♣❤❧♦⑨❜ ❥❦❜❊❞➏rs❢✙❣⑨♦⑨❜❍❞❊❫ ❛❄r➀➫❬❡❴⑧♣⑦➆❣✐❤❧❡❴⑧ ✏✒✑ ❜❊❞✹❣➳↔✯❷❜❊⑧➏❷❜❍♦✐rs❥❧❜❊❸❙❜❊⑧➠❣✢❥➜r➀♠✙❥❦❢♣❞ ❤❧⑧✕❣❘❷❜❊♦✻❜❊❞⑨❞⑨rs⑧➠❣✐❜➒❫→❺✼⑧↕❜✽✷ ❜❍❣ ✓✛❜❊❥❧❥❦❜➡➫❬❡❴❢✙♦⑨⑧♣❤❵❣♥❢♣⑧♣❜✤⑤♣❜❍❞ ✁ ⑦❍♦⑨❤❧♠✙❣✐❤❧❡❴⑧❹♠♣♦✻❡❴q✛rsq♣❤❧❥❦❤❧❞✻❣✐❜↕⑤♣❢❹➫❬❢✙❣⑨❢♣♦❂❤❦❸❙❸❾❷❜❊⑤♣❤❦r➒❣❙⑤✡☛➦❢✙⑧ ❞✻❢✢✜✻❜❍❣➃❜❊⑧♣⑦❍❡❴♦⑨❜❋❡❴q✙❞⑨❜❊♦✹➂✼❷❜✳❜➆❣➭♦⑨❜✟✞❄⑥❜❍❣⑨❜❋⑤♣❜❊❞ ⑤✙❤✷➳❷❜❊♦⑨❜❍⑧♣⑦❊❜❍❞➭❜❊⑧➠❣✐♦✻❜❋❥❦❜❊❞❻❸❳❡❲⑤❖⑥❜❊❥❧❜❊❞❳➇❲❢✙❤✦❞⑨❜❍♦✐rs❤❧❜❊⑧➠❣➭♠♣❥❦❢✙❞➃⑤♣❤✠☎❙⑦❍❤❦❥❦❜❍❞✳⑥r❽➫❬❡❴♦✻❸➀❢♣❥❧❜❊♦❻❜❍⑧ ❣✐❜❊♦✻❸❳❜❍❞➃⑤♣❜ ➫❬❡s⑧♣⑦❍❣⑨❤❦❡❴⑧❙⑤♣❜➡❞✻❢♣♦✻➂❲❤❧❜ ✓✕⑤♣❜➡♦❲❷❜❊♠✛r➒♦✻❣✐❤❵❣✐❤❧❡❴⑧ ❡❴❢❻⑤♣❜ ⑤♣❜❊⑧✙❞⑨❤❧❣❘❷❜s❫❘➢ ☛➩❜❊❞✻❣♥❥●☛➩❤❦⑧➠❣✐❜❍♦⑨♠♣♦❲❷❜❍❣➧r❼❣✐❤❦❡s⑧❙⑤✙❜ ⑦❍❜❍❣⑨❣⑨❜ ➫❬❡❴⑧✙⑦ ✁ ❣⑨❤❦❡❴⑧❙➇✕❢♣❤ ♠ ❜❍♦⑨❸❙❜❍❣➏❥❦❜➳♠♣❥❦❢♣❞✾❞⑨❡s❢✙➂❴❜❍⑧✕❣♥⑤♣❜ ↔s❢♣❤❦⑤♣❜❍♦➏❥❧❜ ⑦➧➙✙❡❴❤❵❿❙⑤✡☛➩❢♣⑧➃❸❙❡❲⑤❝⑥❜❊❥❧❜➳♠ ❡❴❢♣♦✼⑤♣❜❍❞♥⑤♣❡❴⑧✙⑧✗❷❜❊❜❍❞✗⑤♣❜ ⑤✙❢♣♦❲❷❜❍❜s❫ ❈➳❡❴❢♣❞✦❤❧❥❦❥❧❢♣❞✻❣⑨♦⑨❡❴⑧♣❞➳❥❦❜❍❞✦⑤➏❷❜ ✣✛⑧♣❤❧❣⑨❤❦❡❴⑧✙❞➡♠♣♦❲❷❜❊⑦ ❜❍⑤♣❜❊⑧➠❣⑨❜❊❞✉r①➂s❜❊⑦➄❥❧❜❊❞✦❜❷ ❿✙❜❍❸❳♠✙❥❦❜❊❞➡⑤♣❜❊❞✏⑤♣❤❧❞✻❣⑨♦⑨❤❦q✙❢✙❣✐❤❧❡❴⑧♣❞➳➞◗✖☛✡ ✟ ✴✌☞✎✍ ✮ ✱✑✏✓✒ ✴✌☞✕✔✗✖✄✏✭✴✌✘ ✬✯✮ ✱ ✮ ✏✚✙ ✱ ✡ ✓ ❊✹✖☛✡ ✟ ✫ ✱✛✍ ✮ ✱✑✏✓✒ ✴✌☞✕✔✜✖✄✏✭✴✌✘ ✬✯✮ ✱ ✮ ✏✚✙ ✱ ✡ ✓♥❜❍❣➭⑤✙❜❋⑤♣❜❊❢❘❿ ❸❳❡❲⑤❖⑥❜❊❥❧❜❊❞❳♠✛r ✁ ♦⑨rs❸❾❷❜❍❣✐♦✻❤❦➇✕❢♣❜❍❞ ⑤✡☛③r➒⑧✛rs❥❧➵❲❞✻❜✈⑤✙❜❊❞➳⑤♣❢♣♦❲❷❜❍❜❊❞➳⑤♣❜✏➂❲❤❦❜✤♠✛rs♦✻❸❳❤ ❥❦❜❊❞✢♠♣❥❧❢♣❞ ❢✙❣⑨❤❦❥❦❤❧❞❲❷❜❍❞❊❫ ▲ ➔❝❉❲➌❽➐✯❅❬❉❲❈ ❪❴❫ ✪ ⑧ rs♠♣♠ ❜❊❥❦❥❧❜✉➫❬❡❴⑧✙⑦❍❣✐❤❧❡❴⑧❩⑤✙❜➀❞⑨❢♣♦✹➂❲❤❦❜➀⑦❍❡❴⑧♣⑤♣❤❵❣✐❤❦❡s⑧♣⑧♣❜❊❥❧❥❦❜➃⑥r❻❥❦r❳⑤✛r➒❣⑨❜ ✍✢❥➜r❳♠♣♦⑨❡❴q♣rsq♣❤❦❥❧❤❧❣❘❷❜✈➇✕❢♣❜▼● ⑤✗❷❜❊♠✛r➒❞⑨❞⑨❜✹✍✥✹ ✬ ❞⑨rs⑦➧➙✛rs⑧➠❣➳➇✕❢♣❜✫●➺⑤➏❷❜❊♠♣rs❞⑨❞✻❜☞✍ ✚ ✝ ❂● ✯ ✍✥✹ ✬ ✔ ● ✯ ✍✩❄ ✂ ✫ ✑ ✟✓✍✥✹ ✬ ✡ ✫ ✑ ✟✍✔✡ ✰ ❛✷r❂➂➒rs♦⑨❤❦rsq♣❥❧❜➄rs❥➆❷❜❊r➒❣✐❡s❤❦♦⑨❜▼● ✓❝❡s❢ ❞⑨r↕❥❧❡❴❤✙✶ ✑ ✓❄❜❍❞✻❣✈⑤♣❤❧❣⑨❜ ➞◗✖☛✡ ✟▲♦✻❜❊❞⑨♠ ❜❊⑦➆❣✐❤❵➂❴❜❊❸❙❜❊⑧➠❣ ❊✹✖☛✡ ✡➡❞⑨❤ ✽ ✬ ✯ ➉ ✓✙❥➜r➀➫❬❡❴⑧♣⑦➆❣✐❤❦❡s⑧ ✍✣✢✭✥✤ ✫ ✑ ✟✍❃✹ ✬ ✡ ✫ ✑ ✟✓✍✔✡ ❜❊❞✻❣➳⑤➏❷❜❍⑦❊♦✻❡❴❤❦❞✻❞✐rs⑧➠❣✐❜❆✟▲♦✻❜❊❞✻♠ ❜❍⑦❍❣✐❤❵➂❴❜❍❸❳❜❍⑧✕❣ ⑦❊♦✻❡❴❤❦❞✻❞✐rs⑧➠❣⑨❜✯✡➆❫ ❊ ❢♣♠♣♠ ❡❴❞⑨❡s⑧♣❞✉➇✕❢♣❜ ●☞rs⑤♣❸❙❜❍❣⑨❣⑨❜ ❢♣⑧♣❜ ⑤♣❜❊⑧✙❞⑨❤❧❣❘❷❜ ◗ ✑ ⑦❍❡❴⑧➠❣✐❤❧⑧❲❢✙❜❙❞✻❢♣♦ ✡ ☞✎✍ ❫❄❺✼⑧✳♦⑨❜❍❸❻r➒♦⑨➇✕❢✛rs⑧➠❣ ➇❲❢✙❜ ✏ ✑ ♠ ❜❊❢❘❣ ❞❋☛✩❷❜❍⑦❊♦✻❤❦♦⑨❜ ✏✒✑ ✟✓✍✔✡ ✂✺❥❦❤❧❸ ❈ ✪❊❉ ✥ ❪ ❂ ✍ ✁ ❪✮✭ ✫ ✑ ✟✓✍✥✹ ❂ ✍✔✡ ✫ ✑ ✟✍✔✡ ✂✹✰ ❤❦❥♣♦✻❜❍➂❲❤❦❜❍⑧✕❣➏rs❢❙❸✻✼❜❊❸❙❜ ⑤♣❜ ⑤✙❤❦♦⑨❜ ➇✕❢♣❜❩●❹❜❍❞✻❣➏➞◗✖☛✡ ✟❬♦⑨❜❊❞✻♠ ❜❍⑦❍❣⑨❤❧➂❴❜❍❸❳❜❍⑧➠❣ ❊✹✖☛✡ ✡✝❞⑨❤→❞⑨r✤➫❬❡❴⑧✙⑦❍❣✐❤❧❡❴⑧ ⑤♣❜✤♦⑨❤❦❞✻➇✕❢♣❜✤❤❦⑧♣❞✹❣➧rs⑧➠❣➧r➒⑧✗❷❜ ✏✒✑ ❜❊❞✹❣➡⑦❍♦⑨❡❴❤❧❞⑨❞✐r➒⑧✕❣⑨❜ ✟▲♦⑨❜❍❞⑨♠ ❜❊⑦➆❣✐❤❧➂s❜❊❸❙❜❊⑧➠❣ ⑤✗❷❜❊⑦❍♦⑨❡❴❤❧❞⑨❞✐r➒⑧✕❣⑨❜✯✡ ❫ ❊✦❜✈♠✙❥❦❢♣❞ rs❸❙♠♣❥❦❜❍❞ ⑤✗❷❜❍➂s❜❊❥❦❡s♠♣♠ ❜❍❸❳❜❍⑧➠❣✐❞➡❞✻❢♣♦➳❥❦❜❊❞✢⑤♣❤❧❞✻❣⑨♦⑨❤❦q✙❢✙❣✐❤❧❡❴⑧♣❞ ➞◗✖☛✡ ✓✕❊✹✖☛✡ ✓✛❞⑨❢♣♦➳⑤✡☛➦rs❢✙❣✐♦✻❜❊❞

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